id	sid	tid	token	lemma	pos
ap-1392	1	1	acta	acta	PROPN
ap-1392	1	2	polytechnica	polytechnica	PROPN
ap-1392	1	3	vol	vol	NOUN
ap-1392	1	4	.	.	PUNCT
ap-1392	2	1	51	51	NUM
ap-1392	2	2	no	no	INTJ
ap-1392	2	3	.	.	PUNCT
ap-1392	3	1	4/2011	4/2011	NUM
ap-1392	3	2	rational	rational	ADJ
ap-1392	3	3	approximation	approximation	NOUN
ap-1392	3	4	to	to	ADP
ap-1392	3	5	the	the	DET
ap-1392	3	6	solutions	solution	NOUN
ap-1392	3	7	of	of	ADP
ap-1392	3	8	two	two	NUM
ap-1392	3	9	-	-	PUNCT
ap-1392	3	10	point	point	NOUN
ap-1392	3	11	boundary	boundary	ADJ
ap-1392	3	12	value	value	NOUN
ap-1392	3	13	problems	problem	NOUN
ap-1392	3	14	p.	p.	PROPN
ap-1392	3	15	amore	amore	PROPN
ap-1392	3	16	,	,	PUNCT
ap-1392	4	1	f.	f.	PROPN
ap-1392	4	2	m.	m.	PROPN
ap-1392	4	3	fernández	fernández	PROPN
ap-1392	5	1	abstract	abstract	ADV
ap-1392	5	2	we	we	PRON
ap-1392	5	3	propose	propose	VERB
ap-1392	5	4	a	a	DET
ap-1392	5	5	method	method	NOUN
ap-1392	5	6	for	for	ADP
ap-1392	5	7	the	the	DET
ap-1392	5	8	treatment	treatment	NOUN
ap-1392	5	9	of	of	ADP
ap-1392	5	10	two	two	NUM
ap-1392	5	11	-	-	PUNCT
ap-1392	5	12	point	point	NOUN
ap-1392	5	13	boundary	boundary	ADJ
ap-1392	5	14	value	value	NOUN
ap-1392	5	15	problems	problem	NOUN
ap-1392	5	16	given	give	VERB
ap-1392	5	17	by	by	ADP
ap-1392	5	18	nonlinear	nonlinear	ADJ
ap-1392	5	19	ordinary	ordinary	ADJ
ap-1392	5	20	differential	differential	ADJ
ap-1392	5	21	equations	equation	NOUN
ap-1392	5	22	.	.	PUNCT
ap-1392	6	1	the	the	DET
ap-1392	6	2	approach	approach	NOUN
ap-1392	6	3	leads	lead	VERB
ap-1392	6	4	to	to	ADP
ap-1392	6	5	sequences	sequence	NOUN
ap-1392	6	6	of	of	ADP
ap-1392	6	7	roots	root	NOUN
ap-1392	6	8	of	of	ADP
ap-1392	6	9	hankel	hankel	NOUN
ap-1392	6	10	determinants	determinant	NOUN
ap-1392	6	11	that	that	PRON
ap-1392	6	12	converge	converge	VERB
ap-1392	6	13	rapidly	rapidly	ADV
ap-1392	6	14	towards	towards	ADP
ap-1392	6	15	the	the	DET
ap-1392	6	16	unknown	unknown	ADJ
ap-1392	6	17	parameter	parameter	NOUN
ap-1392	6	18	of	of	ADP
ap-1392	6	19	the	the	DET
ap-1392	6	20	problem	problem	NOUN
ap-1392	6	21	.	.	PUNCT
ap-1392	7	1	we	we	PRON
ap-1392	7	2	treat	treat	VERB
ap-1392	7	3	several	several	ADJ
ap-1392	7	4	problems	problem	NOUN
ap-1392	7	5	of	of	ADP
ap-1392	7	6	physical	physical	ADJ
ap-1392	7	7	interest	interest	NOUN
ap-1392	7	8	:	:	PUNCT
ap-1392	7	9	the	the	DET
ap-1392	7	10	field	field	NOUN
ap-1392	7	11	equation	equation	NOUN
ap-1392	7	12	determining	determine	VERB
ap-1392	7	13	the	the	DET
ap-1392	7	14	vortex	vortex	NOUN
ap-1392	7	15	profile	profile	NOUN
ap-1392	7	16	in	in	ADP
ap-1392	7	17	a	a	DET
ap-1392	7	18	ginzburg	ginzburg	NOUN
ap-1392	7	19	-	-	PUNCT
ap-1392	7	20	landau	landau	NOUN
ap-1392	7	21	effective	effective	ADJ
ap-1392	7	22	theory	theory	NOUN
ap-1392	7	23	,	,	PUNCT
ap-1392	7	24	the	the	DET
ap-1392	7	25	fixed	fix	VERB
ap-1392	7	26	-	-	PUNCT
ap-1392	7	27	point	point	NOUN
ap-1392	7	28	equation	equation	NOUN
ap-1392	7	29	for	for	ADP
ap-1392	7	30	wilson	wilson	PROPN
ap-1392	7	31	’s	’s	PART
ap-1392	7	32	exact	exact	ADJ
ap-1392	7	33	renormalization	renormalization	NOUN
ap-1392	7	34	group	group	NOUN
ap-1392	7	35	,	,	PUNCT
ap-1392	7	36	a	a	DET
ap-1392	7	37	suitably	suitably	ADV
ap-1392	7	38	modified	modify	VERB
ap-1392	7	39	wegner	wegner	PROPN
ap-1392	7	40	-	-	PUNCT
ap-1392	7	41	houghton	houghton	PROPN
ap-1392	7	42	fixed	fix	VERB
ap-1392	7	43	point	point	NOUN
ap-1392	7	44	equation	equation	NOUN
ap-1392	7	45	in	in	ADP
ap-1392	7	46	the	the	DET
ap-1392	7	47	local	local	ADJ
ap-1392	7	48	potential	potential	ADJ
ap-1392	7	49	approximation	approximation	NOUN
ap-1392	7	50	,	,	PUNCT
ap-1392	7	51	and	and	CCONJ
ap-1392	7	52	a	a	DET
ap-1392	7	53	riccati	riccati	NOUN
ap-1392	7	54	equation	equation	NOUN
ap-1392	7	55	.	.	PUNCT
ap-1392	8	1	we	we	PRON
ap-1392	8	2	consider	consider	VERB
ap-1392	8	3	two	two	NUM
ap-1392	8	4	models	model	NOUN
ap-1392	8	5	where	where	SCONJ
ap-1392	8	6	the	the	DET
ap-1392	8	7	approach	approach	NOUN
ap-1392	8	8	does	do	AUX
ap-1392	8	9	not	not	PART
ap-1392	8	10	apply	apply	VERB
ap-1392	8	11	in	in	ADP
ap-1392	8	12	order	order	NOUN
ap-1392	8	13	to	to	PART
ap-1392	8	14	show	show	VERB
ap-1392	8	15	the	the	DET
ap-1392	8	16	limitations	limitation	NOUN
ap-1392	8	17	of	of	ADP
ap-1392	8	18	our	our	PRON
ap-1392	8	19	padé-hankel	padé-hankel	NOUN
ap-1392	8	20	approach	approach	NOUN
ap-1392	8	21	.	.	PUNCT
ap-1392	9	1	keywords	keyword	NOUN
ap-1392	9	2	:	:	PUNCT
ap-1392	9	3	nonlinear	nonlinear	ADJ
ap-1392	9	4	differential	differential	ADJ
ap-1392	9	5	equations	equation	NOUN
ap-1392	9	6	,	,	PUNCT
ap-1392	9	7	ginzburg	ginzburg	NOUN
ap-1392	9	8	-	-	PUNCT
ap-1392	9	9	landau	landau	NOUN
ap-1392	9	10	,	,	PUNCT
ap-1392	9	11	wilson	wilson	PROPN
ap-1392	9	12	’s	’s	PART
ap-1392	9	13	renormalization	renormalization	NOUN
ap-1392	9	14	,	,	PUNCT
ap-1392	9	15	wegner	wegner	NOUN
ap-1392	9	16	-	-	PUNCT
ap-1392	9	17	houghton	houghton	PROPN
ap-1392	9	18	,	,	PUNCT
ap-1392	9	19	riccati	riccati	NOUN
ap-1392	9	20	equation	equation	NOUN
ap-1392	9	21	,	,	PUNCT
ap-1392	9	22	padé	padé	NOUN
ap-1392	9	23	-	-	PUNCT
ap-1392	9	24	hankel	hankel	NOUN
ap-1392	9	25	method	method	NOUN
ap-1392	9	26	.	.	PUNCT
ap-1392	10	1	1	1	NUM
ap-1392	10	2	introduction	introduction	NOUN
ap-1392	10	3	some	some	DET
ap-1392	10	4	time	time	NOUN
ap-1392	10	5	ago	ago	ADV
ap-1392	10	6	fernández	fernández	PROPN
ap-1392	10	7	et	et	PROPN
ap-1392	10	8	al	al	PROPN
ap-1392	11	1	[	[	X
ap-1392	11	2	1–3,5,6,4,7–9	1–3,5,6,4,7–9	X
ap-1392	11	3	]	]	PUNCT
ap-1392	11	4	developed	develop	VERB
ap-1392	11	5	a	a	DET
ap-1392	11	6	method	method	NOUN
ap-1392	11	7	for	for	ADP
ap-1392	11	8	the	the	DET
ap-1392	11	9	accurate	accurate	ADJ
ap-1392	11	10	calculation	calculation	NOUN
ap-1392	11	11	of	of	ADP
ap-1392	11	12	eigenfunctions	eigenfunction	NOUN
ap-1392	11	13	and	and	CCONJ
ap-1392	11	14	eigenvalues	eigenvalue	VERB
ap-1392	11	15	for	for	ADP
ap-1392	11	16	bound	bind	VERB
ap-1392	11	17	states	state	NOUN
ap-1392	11	18	and	and	CCONJ
ap-1392	11	19	resonances	resonance	NOUN
ap-1392	11	20	of	of	ADP
ap-1392	11	21	the	the	DET
ap-1392	11	22	schrödinger	schrödinger	NOUN
ap-1392	11	23	equation	equation	NOUN
ap-1392	11	24	.	.	PUNCT
ap-1392	12	1	this	this	DET
ap-1392	12	2	approach	approach	NOUN
ap-1392	12	3	is	be	AUX
ap-1392	12	4	based	base	VERB
ap-1392	12	5	on	on	ADP
ap-1392	12	6	the	the	DET
ap-1392	12	7	taylor	taylor	PROPN
ap-1392	12	8	expansion	expansion	NOUN
ap-1392	12	9	of	of	ADP
ap-1392	12	10	a	a	DET
ap-1392	12	11	regularized	regularize	VERB
ap-1392	12	12	logarithmic	logarithmic	ADJ
ap-1392	12	13	derivative	derivative	NOUN
ap-1392	12	14	of	of	ADP
ap-1392	12	15	the	the	DET
ap-1392	12	16	eigenfunction	eigenfunction	NOUN
ap-1392	12	17	.	.	PUNCT
ap-1392	13	1	the	the	DET
ap-1392	13	2	physical	physical	ADJ
ap-1392	13	3	eigenvalue	eigenvalue	PROPN
ap-1392	13	4	is	be	AUX
ap-1392	13	5	given	give	VERB
ap-1392	13	6	by	by	ADP
ap-1392	13	7	a	a	DET
ap-1392	13	8	sequence	sequence	NOUN
ap-1392	13	9	of	of	ADP
ap-1392	13	10	roots	root	NOUN
ap-1392	13	11	of	of	ADP
ap-1392	13	12	hankel	hankel	NOUN
ap-1392	13	13	determinants	determinant	NOUN
ap-1392	13	14	constructed	construct	VERB
ap-1392	13	15	from	from	ADP
ap-1392	13	16	the	the	DET
ap-1392	13	17	coefficients	coefficient	NOUN
ap-1392	13	18	of	of	ADP
ap-1392	13	19	that	that	DET
ap-1392	13	20	series	series	NOUN
ap-1392	13	21	.	.	PUNCT
ap-1392	14	1	one	one	NUM
ap-1392	14	2	merit	merit	NOUN
ap-1392	14	3	of	of	ADP
ap-1392	14	4	this	this	DET
ap-1392	14	5	approach	approach	NOUN
ap-1392	14	6	,	,	PUNCT
ap-1392	14	7	called	call	VERB
ap-1392	14	8	the	the	DET
ap-1392	14	9	riccatipadé	riccatipadé	NOUN
ap-1392	14	10	method	method	NOUN
ap-1392	14	11	,	,	PUNCT
ap-1392	14	12	is	be	AUX
ap-1392	14	13	the	the	DET
ap-1392	14	14	great	great	ADJ
ap-1392	14	15	convergence	convergence	NOUN
ap-1392	14	16	rate	rate	NOUN
ap-1392	14	17	in	in	ADP
ap-1392	14	18	most	most	ADJ
ap-1392	14	19	cases	case	NOUN
ap-1392	14	20	and	and	CCONJ
ap-1392	14	21	that	that	SCONJ
ap-1392	14	22	the	the	DET
ap-1392	14	23	same	same	ADJ
ap-1392	14	24	equation	equation	NOUN
ap-1392	14	25	applies	apply	VERB
ap-1392	14	26	to	to	ADP
ap-1392	14	27	bound	bound	ADJ
ap-1392	14	28	states	state	NOUN
ap-1392	14	29	and	and	CCONJ
ap-1392	14	30	resonances	resonance	NOUN
ap-1392	14	31	.	.	PUNCT
ap-1392	15	1	besides	besides	SCONJ
ap-1392	15	2	,	,	PUNCT
ap-1392	15	3	in	in	ADP
ap-1392	15	4	some	some	DET
ap-1392	15	5	cases	case	NOUN
ap-1392	15	6	it	it	PRON
ap-1392	15	7	yields	yield	VERB
ap-1392	15	8	upper	upper	ADJ
ap-1392	15	9	and	and	CCONJ
ap-1392	15	10	lower	low	ADJ
ap-1392	15	11	bounds	bound	NOUN
ap-1392	15	12	to	to	ADP
ap-1392	15	13	the	the	DET
ap-1392	15	14	eigenvalues	eigenvalue	NOUN
ap-1392	15	15	[	[	X
ap-1392	15	16	1	1	NUM
ap-1392	15	17	]	]	PUNCT
ap-1392	15	18	.	.	PUNCT
ap-1392	16	1	the	the	DET
ap-1392	16	2	logarithmic	logarithmic	ADJ
ap-1392	16	3	derivative	derivative	ADJ
ap-1392	16	4	satisfies	satisfie	NOUN
ap-1392	16	5	a	a	DET
ap-1392	16	6	riccati	riccati	NOUN
ap-1392	16	7	equation	equation	NOUN
ap-1392	16	8	,	,	PUNCT
ap-1392	16	9	and	and	CCONJ
ap-1392	16	10	one	one	PRON
ap-1392	16	11	may	may	AUX
ap-1392	16	12	wonder	wonder	VERB
ap-1392	16	13	if	if	SCONJ
ap-1392	16	14	the	the	DET
ap-1392	16	15	method	method	NOUN
ap-1392	16	16	applies	apply	VERB
ap-1392	16	17	to	to	ADP
ap-1392	16	18	other	other	ADJ
ap-1392	16	19	nonlinear	nonlinear	ADJ
ap-1392	16	20	ordinary	ordinary	ADJ
ap-1392	16	21	differential	differential	ADJ
ap-1392	16	22	equations	equation	NOUN
ap-1392	16	23	.	.	PUNCT
ap-1392	17	1	the	the	DET
ap-1392	17	2	purpose	purpose	NOUN
ap-1392	17	3	of	of	ADP
ap-1392	17	4	this	this	DET
ap-1392	17	5	paper	paper	NOUN
ap-1392	17	6	is	be	AUX
ap-1392	17	7	to	to	PART
ap-1392	17	8	investigate	investigate	VERB
ap-1392	17	9	whether	whether	SCONJ
ap-1392	17	10	a	a	DET
ap-1392	17	11	kind	kind	NOUN
ap-1392	17	12	of	of	ADP
ap-1392	17	13	padé-hankel	padé-hankel	NOUN
ap-1392	17	14	method	method	NOUN
ap-1392	17	15	may	may	AUX
ap-1392	17	16	be	be	AUX
ap-1392	17	17	useful	useful	ADJ
ap-1392	17	18	for	for	ADP
ap-1392	17	19	two	two	NUM
ap-1392	17	20	-	-	PUNCT
ap-1392	17	21	point	point	NOUN
ap-1392	17	22	boundary	boundary	ADJ
ap-1392	17	23	value	value	NOUN
ap-1392	17	24	problems	problem	NOUN
ap-1392	17	25	given	give	VERB
ap-1392	17	26	by	by	ADP
ap-1392	17	27	nonlinear	nonlinear	ADJ
ap-1392	17	28	ordinary	ordinary	ADJ
ap-1392	17	29	differential	differential	ADJ
ap-1392	17	30	equations	equation	NOUN
ap-1392	17	31	.	.	PUNCT
ap-1392	18	1	in	in	ADP
ap-1392	18	2	section	section	NOUN
ap-1392	18	3	2	2	NUM
ap-1392	18	4	we	we	PRON
ap-1392	18	5	outline	outline	VERB
ap-1392	18	6	the	the	DET
ap-1392	18	7	method	method	NOUN
ap-1392	18	8	,	,	PUNCT
ap-1392	18	9	in	in	ADP
ap-1392	18	10	section	section	NOUN
ap-1392	18	11	3	3	NUM
ap-1392	18	12	we	we	PRON
ap-1392	18	13	apply	apply	VERB
ap-1392	18	14	it	it	PRON
ap-1392	18	15	to	to	ADP
ap-1392	18	16	several	several	ADJ
ap-1392	18	17	problems	problem	NOUN
ap-1392	18	18	of	of	ADP
ap-1392	18	19	physical	physical	ADJ
ap-1392	18	20	interest	interest	NOUN
ap-1392	18	21	,	,	PUNCT
ap-1392	18	22	and	and	CCONJ
ap-1392	18	23	in	in	ADP
ap-1392	18	24	section	section	NOUN
ap-1392	18	25	4	4	NUM
ap-1392	18	26	we	we	PRON
ap-1392	18	27	discuss	discuss	VERB
ap-1392	18	28	the	the	DET
ap-1392	18	29	relative	relative	ADJ
ap-1392	18	30	merits	merit	NOUN
ap-1392	18	31	of	of	ADP
ap-1392	18	32	the	the	DET
ap-1392	18	33	approach	approach	NOUN
ap-1392	18	34	.	.	PUNCT
ap-1392	19	1	2	2	NUM
ap-1392	19	2	method	method	NOUN
ap-1392	19	3	it	it	PRON
ap-1392	19	4	is	be	AUX
ap-1392	19	5	our	our	PRON
ap-1392	19	6	purpose	purpose	NOUN
ap-1392	19	7	to	to	PART
ap-1392	19	8	propose	propose	VERB
ap-1392	19	9	a	a	DET
ap-1392	19	10	method	method	NOUN
ap-1392	19	11	for	for	ADP
ap-1392	19	12	the	the	DET
ap-1392	19	13	treatment	treatment	NOUN
ap-1392	19	14	of	of	ADP
ap-1392	19	15	two	two	NUM
ap-1392	19	16	-	-	PUNCT
ap-1392	19	17	point	point	NOUN
ap-1392	19	18	boundary	boundary	ADJ
ap-1392	19	19	value	value	NOUN
ap-1392	19	20	problems	problem	NOUN
ap-1392	19	21	.	.	PUNCT
ap-1392	20	1	we	we	PRON
ap-1392	20	2	suppose	suppose	VERB
ap-1392	20	3	that	that	SCONJ
ap-1392	20	4	the	the	DET
ap-1392	20	5	solution	solution	NOUN
ap-1392	20	6	f(x	f(x	PROPN
ap-1392	20	7	)	)	PUNCT
ap-1392	20	8	of	of	ADP
ap-1392	20	9	a	a	DET
ap-1392	20	10	nonlinear	nonlinear	ADJ
ap-1392	20	11	ordinary	ordinary	ADJ
ap-1392	20	12	differential	differential	ADJ
ap-1392	20	13	equation	equation	NOUN
ap-1392	20	14	can	can	AUX
ap-1392	20	15	be	be	AUX
ap-1392	20	16	expanded	expand	VERB
ap-1392	20	17	as	as	ADP
ap-1392	20	18	f(x	f(x	PROPN
ap-1392	20	19	)	)	PUNCT
ap-1392	20	20	=	=	NOUN
ap-1392	21	1	xα	xα	ADP
ap-1392	21	2	∞∑	∞∑	NUM
ap-1392	21	3	j=0	j=0	ADJ
ap-1392	21	4	fjx	fjx	NOUN
ap-1392	21	5	βj	βj	X
ap-1392	21	6	(	(	PUNCT
ap-1392	21	7	1	1	NUM
ap-1392	21	8	)	)	PUNCT
ap-1392	21	9	about	about	ADP
ap-1392	21	10	x	x	X
ap-1392	21	11	=	=	SYM
ap-1392	21	12	0	0	NUM
ap-1392	21	13	,	,	PUNCT
ap-1392	21	14	where	where	SCONJ
ap-1392	21	15	α	α	NOUN
ap-1392	21	16	and	and	CCONJ
ap-1392	21	17	β	β	X
ap-1392	21	18	are	be	AUX
ap-1392	21	19	real	real	ADJ
ap-1392	21	20	numbers	number	NOUN
ap-1392	21	21	,	,	PUNCT
ap-1392	21	22	and	and	CCONJ
ap-1392	21	23	β	β	X
ap-1392	21	24	>	>	X
ap-1392	21	25	0	0	X
ap-1392	21	26	.	.	PUNCT
ap-1392	22	1	we	we	PRON
ap-1392	22	2	also	also	ADV
ap-1392	22	3	assume	assume	VERB
ap-1392	22	4	that	that	SCONJ
ap-1392	22	5	we	we	PRON
ap-1392	22	6	can	can	AUX
ap-1392	22	7	calculate	calculate	VERB
ap-1392	22	8	sufficient	sufficient	ADJ
ap-1392	22	9	coefficients	coefficient	NOUN
ap-1392	22	10	fj	fj	X
ap-1392	22	11	in	in	ADP
ap-1392	22	12	terms	term	NOUN
ap-1392	22	13	of	of	ADP
ap-1392	22	14	one	one	NUM
ap-1392	22	15	of	of	ADP
ap-1392	22	16	them	they	PRON
ap-1392	22	17	that	that	PRON
ap-1392	22	18	should	should	AUX
ap-1392	22	19	be	be	AUX
ap-1392	22	20	determined	determine	VERB
ap-1392	22	21	by	by	ADP
ap-1392	22	22	the	the	DET
ap-1392	22	23	boundary	boundary	ADJ
ap-1392	22	24	condition	condition	NOUN
ap-1392	22	25	at	at	ADP
ap-1392	22	26	the	the	DET
ap-1392	22	27	other	other	ADJ
ap-1392	22	28	point	point	NOUN
ap-1392	22	29	;	;	PUNCT
ap-1392	22	30	for	for	ADP
ap-1392	22	31	example	example	NOUN
ap-1392	22	32	,	,	PUNCT
ap-1392	22	33	at	at	ADP
ap-1392	22	34	infinity	infinity	NOUN
ap-1392	22	35	.	.	PUNCT
ap-1392	23	1	we	we	PRON
ap-1392	23	2	show	show	VERB
ap-1392	23	3	several	several	ADJ
ap-1392	23	4	illustrative	illustrative	ADJ
ap-1392	23	5	examples	example	NOUN
ap-1392	23	6	in	in	ADP
ap-1392	23	7	section	section	NOUN
ap-1392	23	8	3	3	NUM
ap-1392	23	9	.	.	PUNCT
ap-1392	24	1	we	we	PRON
ap-1392	24	2	try	try	VERB
ap-1392	24	3	a	a	DET
ap-1392	24	4	rational	rational	ADJ
ap-1392	24	5	approximation	approximation	NOUN
ap-1392	24	6	to	to	ADP
ap-1392	24	7	x−αf(x	x−αf(x	PROPN
ap-1392	24	8	)	)	PUNCT
ap-1392	24	9	of	of	ADP
ap-1392	24	10	the	the	DET
ap-1392	24	11	form	form	NOUN
ap-1392	24	12	[	[	X
ap-1392	24	13	m	m	NOUN
ap-1392	24	14	,	,	PUNCT
ap-1392	24	15	n	n	X
ap-1392	24	16	]	]	X
ap-1392	24	17	(	(	PUNCT
ap-1392	24	18	z	z	NOUN
ap-1392	24	19	)	)	PUNCT
ap-1392	24	20	=	=	SYM
ap-1392	25	1	∑m	∑m	PROPN
ap-1392	25	2	j=0	j=0	VERB
ap-1392	25	3	ajz	ajz	PROPN
ap-1392	25	4	j∑n	j∑n	NOUN
ap-1392	25	5	j=0	j=0	PRON
ap-1392	25	6	bjzj	bjzj	PROPN
ap-1392	25	7	.	.	PUNCT
ap-1392	26	1	(	(	PUNCT
ap-1392	26	2	2	2	X
ap-1392	26	3	)	)	PUNCT
ap-1392	26	4	where	where	SCONJ
ap-1392	26	5	z	z	NOUN
ap-1392	26	6	=	=	SYM
ap-1392	26	7	xβ	xβ	PROPN
ap-1392	26	8	.	.	PUNCT
ap-1392	27	1	the	the	DET
ap-1392	27	2	taylor	taylor	PROPN
ap-1392	27	3	expansion	expansion	NOUN
ap-1392	27	4	of	of	ADP
ap-1392	27	5	the	the	DET
ap-1392	27	6	usual	usual	ADJ
ap-1392	27	7	padé	padé	ADJ
ap-1392	27	8	approximant	approximant	ADJ
ap-1392	27	9	yields	yield	NOUN
ap-1392	27	10	m	m	VERB
ap-1392	27	11	+	+	NUM
ap-1392	27	12	n	n	CCONJ
ap-1392	27	13	+	+	CCONJ
ap-1392	27	14	1	1	NUM
ap-1392	27	15	coefficients	coefficient	NOUN
ap-1392	27	16	of	of	ADP
ap-1392	27	17	the	the	DET
ap-1392	27	18	series	series	NOUN
ap-1392	27	19	(	(	PUNCT
ap-1392	27	20	1	1	NUM
ap-1392	27	21	)	)	PUNCT
ap-1392	28	1	[	[	X
ap-1392	28	2	11	11	NUM
ap-1392	28	3	]	]	PUNCT
ap-1392	28	4	;	;	PUNCT
ap-1392	28	5	but	but	CCONJ
ap-1392	28	6	in	in	ADP
ap-1392	28	7	the	the	DET
ap-1392	28	8	present	present	ADJ
ap-1392	28	9	case	case	NOUN
ap-1392	28	10	we	we	PRON
ap-1392	28	11	require	require	VERB
ap-1392	28	12	that	that	SCONJ
ap-1392	28	13	the	the	DET
ap-1392	28	14	rational	rational	ADJ
ap-1392	28	15	approximation	approximation	NOUN
ap-1392	28	16	(	(	PUNCT
ap-1392	28	17	2	2	X
ap-1392	28	18	)	)	PUNCT
ap-1392	28	19	gives	give	VERB
ap-1392	28	20	us	we	PRON
ap-1392	28	21	one	one	NUM
ap-1392	28	22	more	more	ADJ
ap-1392	28	23	coefficient	coefficient	NOUN
ap-1392	28	24	,	,	PUNCT
ap-1392	28	25	that	that	PRON
ap-1392	28	26	is	be	AUX
ap-1392	28	27	to	to	PART
ap-1392	28	28	say	say	VERB
ap-1392	28	29	,	,	PUNCT
ap-1392	28	30	m	m	VERB
ap-1392	28	31	+	+	ADJ
ap-1392	28	32	n	n	PROPN
ap-1392	28	33	+	+	NOUN
ap-1392	28	34	2	2	NUM
ap-1392	28	35	.	.	X
ap-1392	29	1	if	if	SCONJ
ap-1392	29	2	m	m	NOUN
ap-1392	29	3	=	=	SYM
ap-1392	29	4	n	n	PROPN
ap-1392	30	1	+	+	CCONJ
ap-1392	30	2	d	d	PROPN
ap-1392	30	3	,	,	PUNCT
ap-1392	30	4	n	n	NOUN
ap-1392	30	5	=	=	SYM
ap-1392	30	6	1	1	NUM
ap-1392	30	7	,	,	PUNCT
ap-1392	30	8	2	2	NUM
ap-1392	30	9	,	,	PUNCT
ap-1392	30	10	.	.	PUNCT
ap-1392	30	11	.	.	PUNCT
ap-1392	31	1	.	.	PUNCT
ap-1392	32	1	,	,	PUNCT
ap-1392	33	1	d	d	X
ap-1392	33	2	=	=	SYM
ap-1392	33	3	0	0	NUM
ap-1392	33	4	,	,	PUNCT
ap-1392	33	5	1	1	NUM
ap-1392	33	6	,	,	PUNCT
ap-1392	33	7	.	.	PUNCT
ap-1392	33	8	.	.	PUNCT
ap-1392	34	1	.	.	PUNCT
ap-1392	34	2	,	,	PUNCT
ap-1392	34	3	this	this	DET
ap-1392	34	4	requirement	requirement	NOUN
ap-1392	34	5	leads	lead	VERB
ap-1392	34	6	to	to	ADP
ap-1392	34	7	the	the	DET
ap-1392	34	8	equation	equation	NOUN
ap-1392	34	9	[	[	X
ap-1392	34	10	1–3,5	1–3,5	NUM
ap-1392	34	11	,	,	PUNCT
ap-1392	34	12	6	6	NUM
ap-1392	34	13	,	,	PUNCT
ap-1392	34	14	4	4	NUM
ap-1392	34	15	,	,	PUNCT
ap-1392	34	16	7–9	7–9	NOUN
ap-1392	34	17	]	]	X
ap-1392	34	18	hd	hd	NOUN
ap-1392	34	19	d	d	X
ap-1392	34	20	=	=	SYM
ap-1392	34	21	|fi+j+d+1|i	|fi+j+d+1|i	PROPN
ap-1392	34	22	,	,	PUNCT
ap-1392	34	23	j=0,1,	j=0,1,	NOUN
ap-1392	34	24	...	...	SYM
ap-1392	34	25	n	n	NOUN
ap-1392	34	26	=	=	SYM
ap-1392	34	27	0	0	NUM
ap-1392	34	28	,	,	PUNCT
ap-1392	34	29	(	(	PUNCT
ap-1392	34	30	3	3	X
ap-1392	34	31	)	)	PUNCT
ap-1392	35	1	where	where	SCONJ
ap-1392	35	2	d	d	NOUN
ap-1392	35	3	=	=	SYM
ap-1392	35	4	n	n	PROPN
ap-1392	35	5	+	+	CCONJ
ap-1392	35	6	1	1	NUM
ap-1392	35	7	=	=	SYM
ap-1392	35	8	2	2	NUM
ap-1392	35	9	,	,	PUNCT
ap-1392	35	10	3	3	NUM
ap-1392	35	11	,	,	PUNCT
ap-1392	35	12	.	.	PUNCT
ap-1392	35	13	.	.	PUNCT
ap-1392	35	14	.	.	PUNCT
ap-1392	36	1	is	be	AUX
ap-1392	36	2	the	the	DET
ap-1392	36	3	dimension	dimension	NOUN
ap-1392	36	4	of	of	ADP
ap-1392	36	5	the	the	DET
ap-1392	36	6	hankel	hankel	NOUN
ap-1392	36	7	determinant	determinant	ADJ
ap-1392	36	8	hd	hd	X
ap-1392	36	9	d.	d.	PROPN
ap-1392	36	10	in	in	ADP
ap-1392	36	11	general	general	ADJ
ap-1392	36	12	,	,	PUNCT
ap-1392	36	13	equation	equation	NOUN
ap-1392	36	14	(	(	PUNCT
ap-1392	36	15	3	3	X
ap-1392	36	16	)	)	PUNCT
ap-1392	36	17	exhibits	exhibit	VERB
ap-1392	36	18	many	many	ADJ
ap-1392	36	19	roots	root	NOUN
ap-1392	36	20	and	and	CCONJ
ap-1392	36	21	one	one	PRON
ap-1392	36	22	expects	expect	VERB
ap-1392	36	23	to	to	PART
ap-1392	36	24	find	find	VERB
ap-1392	36	25	a	a	DET
ap-1392	36	26	sequence	sequence	NOUN
ap-1392	36	27	,	,	PUNCT
ap-1392	36	28	for	for	ADP
ap-1392	36	29	d	d	PROPN
ap-1392	36	30	=	=	SYM
ap-1392	36	31	2	2	NUM
ap-1392	36	32	,	,	PUNCT
ap-1392	36	33	3	3	NUM
ap-1392	36	34	,	,	PUNCT
ap-1392	36	35	.	.	PUNCT
ap-1392	36	36	.	.	PUNCT
ap-1392	36	37	.	.	PUNCT
ap-1392	37	1	and	and	CCONJ
ap-1392	37	2	fixed	fix	VERB
ap-1392	37	3	d	d	PROPN
ap-1392	37	4	,	,	PUNCT
ap-1392	37	5	that	that	PRON
ap-1392	37	6	converges	converge	VERB
ap-1392	37	7	towards	towards	ADP
ap-1392	37	8	the	the	DET
ap-1392	37	9	required	require	VERB
ap-1392	37	10	value	value	NOUN
ap-1392	37	11	of	of	ADP
ap-1392	37	12	the	the	DET
ap-1392	37	13	unknown	unknown	ADJ
ap-1392	37	14	coefficient	coefficient	NOUN
ap-1392	37	15	.	.	PUNCT
ap-1392	38	1	from	from	ADP
ap-1392	38	2	now	now	ADV
ap-1392	38	3	on	on	ADV
ap-1392	38	4	we	we	PRON
ap-1392	38	5	call	call	VERB
ap-1392	38	6	it	it	PRON
ap-1392	38	7	the	the	DET
ap-1392	38	8	hankel	hankel	NOUN
ap-1392	38	9	sequence	sequence	NOUN
ap-1392	38	10	for	for	ADP
ap-1392	38	11	short	short	ADJ
ap-1392	38	12	.	.	PUNCT
ap-1392	39	1	if	if	SCONJ
ap-1392	39	2	such	such	DET
ap-1392	39	3	a	a	DET
ap-1392	39	4	convergent	convergent	NOUN
ap-1392	39	5	sequence	sequence	NOUN
ap-1392	39	6	is	be	AUX
ap-1392	39	7	monotonously	monotonously	ADV
ap-1392	39	8	increasing	increase	VERB
ap-1392	39	9	or	or	CCONJ
ap-1392	39	10	decreasing	decrease	VERB
ap-1392	39	11	we	we	PRON
ap-1392	39	12	assume	assume	VERB
ap-1392	39	13	that	that	SCONJ
ap-1392	39	14	it	it	PRON
ap-1392	39	15	yields	yield	VERB
ap-1392	39	16	a	a	DET
ap-1392	39	17	lower	low	ADJ
ap-1392	39	18	or	or	CCONJ
ap-1392	39	19	upper	upper	ADJ
ap-1392	39	20	bound	bind	VERB
ap-1392	39	21	,	,	PUNCT
ap-1392	39	22	respectively	respectively	ADV
ap-1392	39	23	.	.	PUNCT
ap-1392	40	1	such	such	ADJ
ap-1392	40	2	bounds	bound	NOUN
ap-1392	40	3	have	have	AUX
ap-1392	40	4	been	be	AUX
ap-1392	40	5	proved	prove	VERB
ap-1392	40	6	rigorously	rigorously	ADV
ap-1392	40	7	for	for	ADP
ap-1392	40	8	some	some	DET
ap-1392	40	9	eigenvalue	eigenvalue	ADJ
ap-1392	40	10	problems	problem	NOUN
ap-1392	40	11	[	[	X
ap-1392	40	12	1	1	NUM
ap-1392	40	13	]	]	PUNCT
ap-1392	40	14	.	.	PUNCT
ap-1392	41	1	9	9	NUM
ap-1392	41	2	acta	acta	PROPN
ap-1392	41	3	polytechnica	polytechnica	PROPN
ap-1392	41	4	vol	vol	NOUN
ap-1392	41	5	.	.	PUNCT
ap-1392	42	1	51	51	NUM
ap-1392	42	2	no	no	INTJ
ap-1392	42	3	.	.	PUNCT
ap-1392	43	1	4/2011	4/2011	NUM
ap-1392	43	2	3	3	NUM
ap-1392	43	3	examples	example	NOUN
ap-1392	43	4	in	in	ADP
ap-1392	43	5	order	order	NOUN
ap-1392	43	6	to	to	PART
ap-1392	43	7	test	test	VERB
ap-1392	43	8	the	the	DET
ap-1392	43	9	performance	performance	NOUN
ap-1392	43	10	of	of	ADP
ap-1392	43	11	the	the	DET
ap-1392	43	12	padé-hankel	padé-hankel	NOUN
ap-1392	43	13	method	method	NOUN
ap-1392	43	14	,	,	PUNCT
ap-1392	43	15	in	in	ADP
ap-1392	43	16	this	this	DET
ap-1392	43	17	section	section	NOUN
ap-1392	43	18	we	we	PRON
ap-1392	43	19	consider	consider	VERB
ap-1392	43	20	the	the	DET
ap-1392	43	21	examples	example	NOUN
ap-1392	43	22	treated	treat	VERB
ap-1392	43	23	by	by	ADP
ap-1392	43	24	boisseau	boisseau	NOUN
ap-1392	43	25	et	et	PROPN
ap-1392	43	26	al	al	PROPN
ap-1392	44	1	[	[	X
ap-1392	44	2	10	10	NUM
ap-1392	44	3	]	]	PUNCT
ap-1392	44	4	by	by	ADP
ap-1392	44	5	means	mean	NOUN
ap-1392	44	6	of	of	ADP
ap-1392	44	7	a	a	DET
ap-1392	44	8	most	most	ADV
ap-1392	44	9	interesting	interesting	ADJ
ap-1392	44	10	algebraic	algebraic	ADJ
ap-1392	44	11	approach	approach	NOUN
ap-1392	44	12	.	.	PUNCT
ap-1392	45	1	we	we	PRON
ap-1392	45	2	first	first	ADV
ap-1392	45	3	consider	consider	VERB
ap-1392	45	4	the	the	DET
ap-1392	45	5	field	field	NOUN
ap-1392	45	6	equation	equation	NOUN
ap-1392	45	7	determining	determine	VERB
ap-1392	45	8	the	the	DET
ap-1392	45	9	vortex	vortex	NOUN
ap-1392	45	10	profile	profile	NOUN
ap-1392	45	11	in	in	ADP
ap-1392	45	12	a	a	DET
ap-1392	45	13	ginzburg	ginzburg	NOUN
ap-1392	45	14	-	-	PUNCT
ap-1392	45	15	landau	landau	NOUN
ap-1392	45	16	effective	effective	ADJ
ap-1392	45	17	theory	theory	NOUN
ap-1392	45	18	(	(	PUNCT
ap-1392	45	19	and	and	CCONJ
ap-1392	45	20	references	reference	NOUN
ap-1392	45	21	therein	therein	ADV
ap-1392	45	22	)	)	PUNCT
ap-1392	45	23	f	f	PROPN
ap-1392	45	24	′′(r	′′(r	NOUN
ap-1392	45	25	)	)	PUNCT
ap-1392	46	1	+	+	CCONJ
ap-1392	46	2	1	1	NUM
ap-1392	46	3	r	r	NOUN
ap-1392	46	4	f	f	NOUN
ap-1392	46	5	′(r	′(r	ADV
ap-1392	46	6	)	)	PUNCT
ap-1392	47	1	+	+	CCONJ
ap-1392	47	2	(	(	PUNCT
ap-1392	47	3	1	1	NUM
ap-1392	47	4	−	−	NOUN
ap-1392	47	5	n2	n2	ADJ
ap-1392	47	6	r2	r2	PROPN
ap-1392	47	7	)	)	PUNCT
ap-1392	47	8	f(r	f(r	PROPN
ap-1392	47	9	)	)	PUNCT
ap-1392	48	1	−	−	PROPN
ap-1392	48	2	f(r)3	f(r)3	PROPN
ap-1392	48	3	=	=	SYM
ap-1392	48	4	0	0	NUM
ap-1392	48	5	,	,	PUNCT
ap-1392	48	6	r	r	NOUN
ap-1392	48	7	>	>	X
ap-1392	48	8	0	0	NUM
ap-1392	48	9	.	.	PUNCT
ap-1392	49	1	(	(	PUNCT
ap-1392	49	2	4	4	X
ap-1392	49	3	)	)	PUNCT
ap-1392	49	4	the	the	DET
ap-1392	49	5	solution	solution	NOUN
ap-1392	49	6	f(r	f(r	NOUN
ap-1392	49	7	)	)	PUNCT
ap-1392	49	8	satisfies	satisfy	VERB
ap-1392	49	9	the	the	DET
ap-1392	49	10	expansion	expansion	NOUN
ap-1392	49	11	(	(	PUNCT
ap-1392	49	12	1	1	NUM
ap-1392	49	13	)	)	PUNCT
ap-1392	49	14	with	with	ADP
ap-1392	49	15	x	x	X
ap-1392	49	16	=	=	SYM
ap-1392	49	17	r	r	NOUN
ap-1392	49	18	,	,	PUNCT
ap-1392	49	19	α	α	NOUN
ap-1392	49	20	=	=	SYM
ap-1392	49	21	n	n	PROPN
ap-1392	49	22	=	=	SYM
ap-1392	49	23	1	1	NUM
ap-1392	49	24	,	,	PUNCT
ap-1392	49	25	2	2	NUM
ap-1392	49	26	,	,	PUNCT
ap-1392	49	27	.	.	PUNCT
ap-1392	49	28	.	.	PUNCT
ap-1392	50	1	.	.	PUNCT
ap-1392	51	1	,	,	PUNCT
ap-1392	51	2	and	and	CCONJ
ap-1392	51	3	β	β	X
ap-1392	51	4	=	=	SYM
ap-1392	51	5	2	2	X
ap-1392	51	6	.	.	PUNCT
ap-1392	51	7	if	if	SCONJ
ap-1392	51	8	we	we	PRON
ap-1392	51	9	substitute	substitute	VERB
ap-1392	51	10	this	this	DET
ap-1392	51	11	series	series	NOUN
ap-1392	51	12	into	into	ADP
ap-1392	51	13	the	the	DET
ap-1392	51	14	differential	differential	ADJ
ap-1392	51	15	equation	equation	NOUN
ap-1392	51	16	and	and	CCONJ
ap-1392	51	17	solve	solve	VERB
ap-1392	51	18	for	for	ADP
ap-1392	51	19	the	the	DET
ap-1392	51	20	coefficients	coefficient	NOUN
ap-1392	51	21	fj	fj	INTJ
ap-1392	51	22	,	,	PUNCT
ap-1392	51	23	we	we	PRON
ap-1392	51	24	obtain	obtain	VERB
ap-1392	51	25	them	they	PRON
ap-1392	51	26	in	in	ADP
ap-1392	51	27	terms	term	NOUN
ap-1392	51	28	of	of	ADP
ap-1392	51	29	the	the	DET
ap-1392	51	30	only	only	ADJ
ap-1392	51	31	unknown	unknown	ADJ
ap-1392	51	32	f0	f0	NOUN
ap-1392	51	33	that	that	PRON
ap-1392	51	34	is	be	AUX
ap-1392	51	35	determined	determine	VERB
ap-1392	51	36	by	by	ADP
ap-1392	51	37	the	the	DET
ap-1392	51	38	boundary	boundary	ADJ
ap-1392	51	39	condition	condition	NOUN
ap-1392	51	40	at	at	ADP
ap-1392	51	41	infinity	infinity	NOUN
ap-1392	51	42	:	:	PUNCT
ap-1392	51	43	f(r	f(r	NOUN
ap-1392	51	44	→	→	SYM
ap-1392	51	45	∞	∞	NUM
ap-1392	51	46	)	)	PUNCT
ap-1392	51	47	=	=	SYM
ap-1392	52	1	1	1	NUM
ap-1392	53	1	[	[	X
ap-1392	53	2	10	10	NUM
ap-1392	53	3	]	]	PUNCT
ap-1392	53	4	(	(	PUNCT
ap-1392	53	5	and	and	CCONJ
ap-1392	53	6	references	reference	NOUN
ap-1392	53	7	therein	therein	ADV
ap-1392	53	8	)	)	PUNCT
ap-1392	53	9	.	.	PUNCT
ap-1392	54	1	the	the	DET
ap-1392	54	2	coefficients	coefficient	NOUN
ap-1392	54	3	fj	fj	INTJ
ap-1392	54	4	,	,	PUNCT
ap-1392	54	5	and	and	CCONJ
ap-1392	54	6	therefore	therefore	ADV
ap-1392	54	7	the	the	DET
ap-1392	54	8	hankel	hankel	NOUN
ap-1392	54	9	determinant	determinant	ADJ
ap-1392	54	10	hd	hd	PROPN
ap-1392	54	11	d	d	PROPN
ap-1392	54	12	,	,	PUNCT
ap-1392	54	13	are	be	AUX
ap-1392	54	14	polynomial	polynomial	ADJ
ap-1392	54	15	functions	function	NOUN
ap-1392	54	16	of	of	ADP
ap-1392	54	17	f0	f0	PROPN
ap-1392	54	18	.	.	PUNCT
ap-1392	55	1	for	for	ADP
ap-1392	55	2	example	example	NOUN
ap-1392	55	3	,	,	PUNCT
ap-1392	55	4	for	for	ADP
ap-1392	55	5	n	n	NOUN
ap-1392	55	6	=	=	SYM
ap-1392	55	7	1	1	NUM
ap-1392	55	8	we	we	PRON
ap-1392	55	9	have	have	VERB
ap-1392	55	10	table	table	NOUN
ap-1392	55	11	1	1	NUM
ap-1392	55	12	:	:	PUNCT
ap-1392	55	13	convergence	convergence	NOUN
ap-1392	55	14	of	of	ADP
ap-1392	55	15	the	the	DET
ap-1392	55	16	hankel	hankel	NOUN
ap-1392	55	17	series	series	NOUN
ap-1392	55	18	for	for	ADP
ap-1392	55	19	the	the	DET
ap-1392	55	20	connection	connection	NOUN
ap-1392	55	21	parameters	parameter	NOUN
ap-1392	55	22	of	of	ADP
ap-1392	55	23	the	the	DET
ap-1392	55	24	global	global	ADJ
ap-1392	55	25	vortex	vortex	NOUN
ap-1392	55	26	for	for	ADP
ap-1392	55	27	n	n	NOUN
ap-1392	55	28	=	=	SYM
ap-1392	55	29	1	1	NUM
ap-1392	56	1	d	d	NOUN
ap-1392	56	2	d	d	NOUN
ap-1392	56	3	=	=	SYM
ap-1392	56	4	0	0	PUNCT
ap-1392	57	1	d	d	NOUN
ap-1392	57	2	=	=	SYM
ap-1392	57	3	1	1	NUM
ap-1392	57	4	2	2	NUM
ap-1392	57	5	0.595	0.595	NUM
ap-1392	57	6	0.578	0.578	NUM
ap-1392	57	7	3	3	NUM
ap-1392	57	8	0.584	0.584	NUM
ap-1392	57	9	0.582	0.582	NUM
ap-1392	57	10	9	9	NUM
ap-1392	57	11	4	4	NUM
ap-1392	57	12	0.583	0.583	NUM
ap-1392	57	13	24	24	NUM
ap-1392	57	14	0.583	0.583	NUM
ap-1392	57	15	15	15	NUM
ap-1392	57	16	5	5	NUM
ap-1392	57	17	0.583	0.583	NUM
ap-1392	57	18	20	20	NUM
ap-1392	57	19	0.583	0.583	NUM
ap-1392	57	20	183	183	NUM
ap-1392	57	21	6	6	NUM
ap-1392	57	22	0.583	0.583	NUM
ap-1392	57	23	192	192	NUM
ap-1392	57	24	0.583	0.583	NUM
ap-1392	57	25	187	187	NUM
ap-1392	57	26	7	7	NUM
ap-1392	57	27	0.583	0.583	NUM
ap-1392	57	28	190	190	NUM
ap-1392	57	29	0.583	0.583	NUM
ap-1392	57	30	189	189	NUM
ap-1392	57	31	0	0	NUM
ap-1392	57	32	8	8	NUM
ap-1392	57	33	0.583	0.583	NUM
ap-1392	57	34	189	189	NUM
ap-1392	57	35	7	7	NUM
ap-1392	57	36	0.583	0.583	NUM
ap-1392	57	37	189	189	NUM
ap-1392	57	38	3	3	NUM
ap-1392	57	39	9	9	NUM
ap-1392	57	40	0.583	0.583	NUM
ap-1392	57	41	189	189	NUM
ap-1392	57	42	54	54	NUM
ap-1392	57	43	0.583	0.583	NUM
ap-1392	57	44	189	189	NUM
ap-1392	57	45	46	46	NUM
ap-1392	57	46	10	10	NUM
ap-1392	57	47	0.583	0.583	NUM
ap-1392	57	48	189	189	NUM
ap-1392	57	49	52	52	NUM
ap-1392	57	50	0.583	0.583	NUM
ap-1392	57	51	189	189	NUM
ap-1392	57	52	48	48	NUM
ap-1392	57	53	11	11	NUM
ap-1392	57	54	0.583	0.583	NUM
ap-1392	57	55	189	189	NUM
ap-1392	57	56	51	51	NUM
ap-1392	57	57	0.583	0.583	NUM
ap-1392	57	58	189	189	NUM
ap-1392	57	59	491	491	NUM
ap-1392	57	60	12	12	NUM
ap-1392	57	61	0.583	0.583	NUM
ap-1392	57	62	189	189	NUM
ap-1392	57	63	498	498	NUM
ap-1392	57	64	0.583	0.583	NUM
ap-1392	57	65	189	189	NUM
ap-1392	57	66	494	494	NUM
ap-1392	57	67	13	13	NUM
ap-1392	57	68	0.583	0.583	NUM
ap-1392	57	69	189	189	NUM
ap-1392	57	70	496	496	NUM
ap-1392	57	71	4	4	NUM
ap-1392	57	72	0.583	0.583	NUM
ap-1392	57	73	189	189	NUM
ap-1392	57	74	495	495	NUM
ap-1392	57	75	3	3	NUM
ap-1392	57	76	14	14	NUM
ap-1392	57	77	0.583	0.583	NUM
ap-1392	57	78	189	189	NUM
ap-1392	57	79	496	496	NUM
ap-1392	57	80	1	1	NUM
ap-1392	57	81	0.583	0.583	NUM
ap-1392	57	82	189	189	NUM
ap-1392	57	83	495	495	NUM
ap-1392	57	84	6	6	NUM
ap-1392	57	85	15	15	NUM
ap-1392	57	86	0.583	0.583	NUM
ap-1392	57	87	189	189	NUM
ap-1392	57	88	496	496	NUM
ap-1392	57	89	0	0	NUM
ap-1392	57	90	0.583	0.583	NUM
ap-1392	57	91	189	189	NUM
ap-1392	57	92	495	495	NUM
ap-1392	57	93	7	7	NUM
ap-1392	57	94	16	16	NUM
ap-1392	57	95	0.583	0.583	NUM
ap-1392	57	96	189	189	NUM
ap-1392	57	97	495	495	NUM
ap-1392	57	98	90	90	NUM
ap-1392	57	99	0.583	0.583	NUM
ap-1392	57	100	189	189	NUM
ap-1392	57	101	495	495	NUM
ap-1392	57	102	83	83	NUM
ap-1392	57	103	17	17	NUM
ap-1392	57	104	0.583	0.583	NUM
ap-1392	57	105	189	189	NUM
ap-1392	57	106	495	495	NUM
ap-1392	57	107	88	88	NUM
ap-1392	57	108	0.583	0.583	NUM
ap-1392	57	109	189	189	NUM
ap-1392	57	110	495	495	NUM
ap-1392	57	111	84	84	NUM
ap-1392	57	112	18	18	NUM
ap-1392	57	113	0.583	0.583	NUM
ap-1392	57	114	189	189	NUM
ap-1392	57	115	495	495	NUM
ap-1392	57	116	867	867	NUM
ap-1392	57	117	0.583	0.583	NUM
ap-1392	57	118	189	189	NUM
ap-1392	57	119	495	495	NUM
ap-1392	57	120	854	854	NUM
ap-1392	57	121	19	19	NUM
ap-1392	57	122	0.583	0.583	NUM
ap-1392	57	123	189	189	NUM
ap-1392	57	124	495	495	NUM
ap-1392	57	125	864	864	NUM
ap-1392	57	126	0.583	0.583	NUM
ap-1392	57	127	189	189	NUM
ap-1392	57	128	495	495	NUM
ap-1392	57	129	857	857	NUM
ap-1392	57	130	20	20	NUM
ap-1392	57	131	0.583	0.583	NUM
ap-1392	57	132	189	189	NUM
ap-1392	57	133	495	495	NUM
ap-1392	57	134	862	862	NUM
ap-1392	57	135	0.583	0.583	NUM
ap-1392	57	136	189	189	NUM
ap-1392	57	137	495	495	NUM
ap-1392	57	138	859	859	NUM
ap-1392	57	139	1	1	NUM
ap-1392	57	140	21	21	NUM
ap-1392	57	141	0.583	0.583	NUM
ap-1392	57	142	189	189	NUM
ap-1392	57	143	495	495	NUM
ap-1392	57	144	860	860	NUM
ap-1392	57	145	9	9	NUM
ap-1392	57	146	0.583	0.583	NUM
ap-1392	57	147	189	189	NUM
ap-1392	57	148	495	495	NUM
ap-1392	57	149	859	859	NUM
ap-1392	57	150	8	8	NUM
ap-1392	57	151	22	22	NUM
ap-1392	57	152	0.583	0.583	NUM
ap-1392	57	153	189	189	NUM
ap-1392	57	154	495	495	NUM
ap-1392	57	155	860	860	NUM
ap-1392	57	156	7	7	NUM
ap-1392	57	157	0.583	0.583	NUM
ap-1392	57	158	189	189	NUM
ap-1392	57	159	495	495	NUM
ap-1392	57	160	860	860	NUM
ap-1392	57	161	1	1	NUM
ap-1392	57	162	f1	f1	NOUN
ap-1392	57	163	=	=	SYM
ap-1392	57	164	−f0	−f0	PROPN
ap-1392	57	165	8	8	NUM
ap-1392	57	166	,	,	PUNCT
ap-1392	57	167	f2	f2	PROPN
ap-1392	57	168	=	=	SYM
ap-1392	57	169	f0	f0	PROPN
ap-1392	57	170	192	192	NUM
ap-1392	57	171	+	+	NUM
ap-1392	57	172	f30	f30	NOUN
ap-1392	57	173	24	24	NUM
ap-1392	57	174	,	,	PUNCT
ap-1392	57	175	f3	f3	NOUN
ap-1392	57	176	=	=	SYM
ap-1392	57	177	−	−	PROPN
ap-1392	57	178	f0	f0	PROPN
ap-1392	57	179	9216	9216	NUM
ap-1392	57	180	−	−	PROPN
ap-1392	57	181	5f30	5f30	NUM
ap-1392	57	182	576	576	NUM
ap-1392	57	183	,	,	PUNCT
ap-1392	57	184	.	.	PUNCT
ap-1392	57	185	.	.	PUNCT
ap-1392	57	186	.	.	PUNCT
ap-1392	58	1	(	(	PUNCT
ap-1392	58	2	5	5	X
ap-1392	58	3	)	)	PUNCT
ap-1392	58	4	tables	table	NOUN
ap-1392	58	5	1	1	NUM
ap-1392	58	6	and	and	CCONJ
ap-1392	58	7	2	2	NUM
ap-1392	58	8	show	show	VERB
ap-1392	58	9	two	two	NUM
ap-1392	58	10	hankel	hankel	NOUN
ap-1392	58	11	sequences	sequence	NOUN
ap-1392	58	12	with	with	ADP
ap-1392	58	13	d	d	PROPN
ap-1392	58	14	=	=	SYM
ap-1392	58	15	0	0	NUM
ap-1392	58	16	and	and	CCONJ
ap-1392	58	17	d	d	NOUN
ap-1392	58	18	=	=	SYM
ap-1392	58	19	1	1	NUM
ap-1392	58	20	that	that	PRON
ap-1392	58	21	converge	converge	VERB
ap-1392	58	22	rapidly	rapidly	ADV
ap-1392	58	23	towards	towards	ADP
ap-1392	58	24	the	the	DET
ap-1392	58	25	result	result	NOUN
ap-1392	58	26	of	of	ADP
ap-1392	58	27	the	the	DET
ap-1392	58	28	accurate	accurate	ADJ
ap-1392	58	29	shooting	shooting	NOUN
ap-1392	58	30	method	method	NOUN
ap-1392	58	31	[	[	X
ap-1392	58	32	10	10	NUM
ap-1392	58	33	]	]	PUNCT
ap-1392	58	34	for	for	ADP
ap-1392	58	35	n	n	NOUN
ap-1392	58	36	=	=	SYM
ap-1392	58	37	1	1	NUM
ap-1392	58	38	and	and	CCONJ
ap-1392	58	39	n	n	CCONJ
ap-1392	58	40	=	=	SYM
ap-1392	58	41	2	2	NUM
ap-1392	58	42	,	,	PUNCT
ap-1392	58	43	respectively	respectively	ADV
ap-1392	58	44	.	.	PUNCT
ap-1392	59	1	we	we	PRON
ap-1392	59	2	appreciate	appreciate	VERB
ap-1392	59	3	that	that	SCONJ
ap-1392	59	4	in	in	ADP
ap-1392	59	5	the	the	DET
ap-1392	59	6	case	case	NOUN
ap-1392	59	7	n	n	NOUN
ap-1392	59	8	=	=	SYM
ap-1392	59	9	1	1	NUM
ap-1392	59	10	the	the	DET
ap-1392	59	11	sequences	sequence	NOUN
ap-1392	59	12	with	with	ADP
ap-1392	59	13	d	d	PROPN
ap-1392	59	14	=	=	SYM
ap-1392	59	15	0	0	NUM
ap-1392	60	1	and	and	CCONJ
ap-1392	60	2	d	d	NOUN
ap-1392	60	3	=	=	SYM
ap-1392	60	4	1	1	NUM
ap-1392	60	5	give	give	VERB
ap-1392	60	6	upper	upper	ADJ
ap-1392	60	7	and	and	CCONJ
ap-1392	60	8	lower	low	ADJ
ap-1392	60	9	bounds	bound	NOUN
ap-1392	60	10	,	,	PUNCT
ap-1392	60	11	respectively	respectively	ADV
ap-1392	60	12	,	,	PUNCT
ap-1392	60	13	that	that	PRON
ap-1392	60	14	tightly	tightly	ADV
ap-1392	60	15	bracket	bracket	VERB
ap-1392	60	16	the	the	DET
ap-1392	60	17	exact	exact	ADJ
ap-1392	60	18	value	value	NOUN
ap-1392	60	19	of	of	ADP
ap-1392	60	20	the	the	DET
ap-1392	60	21	unknown	unknown	ADJ
ap-1392	60	22	parameter	parameter	NOUN
ap-1392	60	23	of	of	ADP
ap-1392	60	24	the	the	DET
ap-1392	60	25	theory	theory	NOUN
ap-1392	60	26	:	:	PUNCT
ap-1392	60	27	0.583	0.583	NUM
ap-1392	60	28	189	189	NUM
ap-1392	60	29	495	495	NUM
ap-1392	60	30	860	860	NUM
ap-1392	60	31	60	60	NUM
ap-1392	60	32	<	<	X
ap-1392	60	33	f0	f0	PROPN
ap-1392	60	34	<	<	X
ap-1392	60	35	0.583	0.583	NUM
ap-1392	60	36	189	189	NUM
ap-1392	60	37	495	495	NUM
ap-1392	60	38	860	860	NUM
ap-1392	60	39	61	61	NUM
ap-1392	60	40	.	.	PUNCT
ap-1392	61	1	on	on	ADP
ap-1392	61	2	the	the	DET
ap-1392	61	3	other	other	ADJ
ap-1392	61	4	hand	hand	NOUN
ap-1392	61	5	,	,	PUNCT
ap-1392	61	6	the	the	DET
ap-1392	61	7	appropriate	appropriate	ADJ
ap-1392	61	8	hankel	hankel	NOUN
ap-1392	61	9	sequences	sequence	NOUN
ap-1392	61	10	are	be	AUX
ap-1392	61	11	oscillatory	oscillatory	ADJ
ap-1392	61	12	when	when	SCONJ
ap-1392	61	13	n	n	X
ap-1392	61	14	≥	≥	X
ap-1392	61	15	2	2	NUM
ap-1392	61	16	and	and	CCONJ
ap-1392	61	17	their	their	PRON
ap-1392	61	18	rate	rate	NOUN
ap-1392	61	19	of	of	ADP
ap-1392	61	20	convergence	convergence	NOUN
ap-1392	61	21	decreases	decrease	VERB
ap-1392	61	22	with	with	ADP
ap-1392	61	23	n.	n.	NOUN
ap-1392	61	24	table	table	NOUN
ap-1392	61	25	3	3	NUM
ap-1392	61	26	shows	show	VERB
ap-1392	61	27	the	the	DET
ap-1392	61	28	best	good	ADJ
ap-1392	61	29	estimates	estimate	NOUN
ap-1392	61	30	of	of	ADP
ap-1392	61	31	f0	f0	PROPN
ap-1392	61	32	for	for	ADP
ap-1392	61	33	n	n	NOUN
ap-1392	61	34	=	=	SYM
ap-1392	61	35	2	2	NUM
ap-1392	61	36	,	,	PUNCT
ap-1392	61	37	3	3	NUM
ap-1392	61	38	,	,	PUNCT
ap-1392	61	39	4	4	NUM
ap-1392	61	40	.	.	NOUN
ap-1392	61	41	table	table	NOUN
ap-1392	61	42	2	2	NUM
ap-1392	61	43	:	:	PUNCT
ap-1392	61	44	convergence	convergence	NOUN
ap-1392	61	45	of	of	ADP
ap-1392	61	46	the	the	DET
ap-1392	61	47	hankel	hankel	NOUN
ap-1392	61	48	series	series	NOUN
ap-1392	61	49	for	for	ADP
ap-1392	61	50	the	the	DET
ap-1392	61	51	connection	connection	NOUN
ap-1392	61	52	parameters	parameter	NOUN
ap-1392	61	53	of	of	ADP
ap-1392	61	54	the	the	DET
ap-1392	61	55	global	global	ADJ
ap-1392	61	56	vortex	vortex	NOUN
ap-1392	61	57	for	for	ADP
ap-1392	61	58	n	n	NOUN
ap-1392	61	59	=	=	SYM
ap-1392	61	60	2	2	NUM
ap-1392	61	61	d	d	NOUN
ap-1392	61	62	d	d	NOUN
ap-1392	61	63	=	=	SYM
ap-1392	61	64	0	0	PUNCT
ap-1392	62	1	d	d	NOUN
ap-1392	62	2	=	=	SYM
ap-1392	62	3	1	1	NUM
ap-1392	62	4	3	3	NUM
ap-1392	62	5	0.156	0.156	NUM
ap-1392	62	6	0.151	0.151	NUM
ap-1392	62	7	4	4	NUM
ap-1392	62	8	0.152	0.152	NUM
ap-1392	62	9	8	8	NUM
ap-1392	62	10	0.154	0.154	NUM
ap-1392	62	11	5	5	NUM
ap-1392	62	12	0.153	0.153	NUM
ap-1392	62	13	10	10	NUM
ap-1392	62	14	0.153	0.153	NUM
ap-1392	62	15	0	0	NUM
ap-1392	62	16	6	6	NUM
ap-1392	62	17	0.153	0.153	NUM
ap-1392	62	18	09	09	NUM
ap-1392	62	19	0.153	0.153	NUM
ap-1392	62	20	11	11	NUM
ap-1392	62	21	7	7	NUM
ap-1392	62	22	0.153	0.153	NUM
ap-1392	62	23	098	098	NUM
ap-1392	62	24	0.153	0.153	NUM
ap-1392	62	25	10	10	NUM
ap-1392	62	26	8	8	NUM
ap-1392	62	27	0.153	0.153	NUM
ap-1392	62	28	099	099	NUM
ap-1392	62	29	7	7	NUM
ap-1392	62	30	0.153	0.153	NUM
ap-1392	62	31	10	10	NUM
ap-1392	62	32	9	9	NUM
ap-1392	62	33	0.153	0.153	NUM
ap-1392	62	34	099	099	NUM
ap-1392	62	35	1	1	NUM
ap-1392	62	36	0.153	0.153	NUM
ap-1392	62	37	099	099	NUM
ap-1392	62	38	10	10	NUM
ap-1392	62	39	0.153	0.153	NUM
ap-1392	62	40	099	099	NUM
ap-1392	62	41	14	14	NUM
ap-1392	62	42	0.153	0.153	NUM
ap-1392	62	43	098	098	NUM
ap-1392	62	44	9	9	NUM
ap-1392	62	45	11	11	NUM
ap-1392	62	46	0.153	0.153	NUM
ap-1392	62	47	099	099	NUM
ap-1392	62	48	12	12	NUM
ap-1392	62	49	0.153	0.153	NUM
ap-1392	62	50	099	099	NUM
ap-1392	62	51	095	095	NUM
ap-1392	62	52	12	12	NUM
ap-1392	62	53	0.153	0.153	NUM
ap-1392	62	54	099	099	NUM
ap-1392	62	55	17	17	NUM
ap-1392	62	56	0.153	0.153	NUM
ap-1392	62	57	099	099	NUM
ap-1392	62	58	091	091	NUM
ap-1392	62	59	13	13	NUM
ap-1392	62	60	0.153	0.153	NUM
ap-1392	62	61	099	099	NUM
ap-1392	62	62	105	105	NUM
ap-1392	62	63	0.153	0.153	NUM
ap-1392	62	64	099	099	NUM
ap-1392	62	65	097	097	NUM
ap-1392	62	66	14	14	NUM
ap-1392	62	67	0.153	0.153	NUM
ap-1392	62	68	099	099	NUM
ap-1392	62	69	102	102	NUM
ap-1392	62	70	1	1	NUM
ap-1392	62	71	0.153	0.153	NUM
ap-1392	62	72	099	099	NUM
ap-1392	62	73	11	11	NUM
ap-1392	62	74	15	15	NUM
ap-1392	62	75	0.153	0.153	NUM
ap-1392	62	76	099	099	NUM
ap-1392	62	77	102	102	NUM
ap-1392	62	78	72	72	NUM
ap-1392	62	79	0.153	0.153	NUM
ap-1392	62	80	099	099	NUM
ap-1392	62	81	102	102	NUM
ap-1392	62	82	16	16	NUM
ap-1392	62	83	0.153	0.153	NUM
ap-1392	62	84	099	099	NUM
ap-1392	62	85	102	102	NUM
ap-1392	62	86	697	697	NUM
ap-1392	62	87	0.153	0.153	NUM
ap-1392	62	88	099	099	NUM
ap-1392	62	89	103	103	NUM
ap-1392	62	90	17	17	NUM
ap-1392	62	91	0.153	0.153	NUM
ap-1392	62	92	099	099	NUM
ap-1392	62	93	102	102	NUM
ap-1392	62	94	782	782	NUM
ap-1392	62	95	0.153	0.153	NUM
ap-1392	62	96	099	099	NUM
ap-1392	62	97	102	102	NUM
ap-1392	62	98	92	92	NUM
ap-1392	62	99	18	18	NUM
ap-1392	62	100	0.153	0.153	NUM
ap-1392	62	101	099	099	NUM
ap-1392	62	102	103	103	NUM
ap-1392	62	103	124	124	NUM
ap-1392	62	104	0.153	0.153	NUM
ap-1392	62	105	099	099	NUM
ap-1392	62	106	102	102	NUM
ap-1392	62	107	93	93	NUM
ap-1392	62	108	19	19	NUM
ap-1392	62	109	0.153	0.153	NUM
ap-1392	62	110	099	099	NUM
ap-1392	62	111	102	102	NUM
ap-1392	62	112	857	857	NUM
ap-1392	62	113	0.153	0.153	NUM
ap-1392	62	114	099	099	NUM
ap-1392	62	115	102	102	NUM
ap-1392	62	116	89	89	NUM
ap-1392	62	117	20	20	NUM
ap-1392	62	118	0.153	0.153	NUM
ap-1392	62	119	099	099	NUM
ap-1392	62	120	102	102	NUM
ap-1392	62	121	864	864	NUM
ap-1392	62	122	0.153	0.153	NUM
ap-1392	62	123	099	099	NUM
ap-1392	62	124	102	102	NUM
ap-1392	62	125	78	78	NUM
ap-1392	62	126	21	21	NUM
ap-1392	62	127	0.153	0.153	NUM
ap-1392	62	128	099	099	NUM
ap-1392	62	129	102	102	NUM
ap-1392	62	130	861	861	NUM
ap-1392	62	131	36	36	NUM
ap-1392	62	132	0.153	0.153	NUM
ap-1392	62	133	099	099	NUM
ap-1392	62	134	102	102	NUM
ap-1392	62	135	860	860	NUM
ap-1392	62	136	22	22	NUM
ap-1392	62	137	0.153	0.153	NUM
ap-1392	62	138	099	099	NUM
ap-1392	62	139	102	102	NUM
ap-1392	62	140	861	861	NUM
ap-1392	62	141	42	42	NUM
ap-1392	62	142	0.153	0.153	NUM
ap-1392	62	143	099	099	NUM
ap-1392	62	144	102	102	NUM
ap-1392	62	145	858	858	NUM
ap-1392	62	146	table	table	NOUN
ap-1392	62	147	3	3	NUM
ap-1392	62	148	:	:	PUNCT
ap-1392	62	149	best	good	ADJ
ap-1392	62	150	estimates	estimate	NOUN
ap-1392	62	151	of	of	ADP
ap-1392	62	152	the	the	DET
ap-1392	62	153	connection	connection	NOUN
ap-1392	62	154	parameters	parameter	NOUN
ap-1392	62	155	of	of	ADP
ap-1392	62	156	the	the	DET
ap-1392	62	157	global	global	ADJ
ap-1392	62	158	vortex	vortex	NOUN
ap-1392	62	159	for	for	ADP
ap-1392	62	160	n	n	NOUN
ap-1392	62	161	=	=	SYM
ap-1392	62	162	2	2	NUM
ap-1392	62	163	,	,	PUNCT
ap-1392	62	164	3	3	NUM
ap-1392	62	165	,	,	PUNCT
ap-1392	62	166	4	4	NUM
ap-1392	62	167	by	by	ADP
ap-1392	62	168	means	mean	NOUN
ap-1392	62	169	of	of	ADP
ap-1392	62	170	hankel	hankel	NOUN
ap-1392	62	171	sequences	sequence	NOUN
ap-1392	62	172	with	with	ADP
ap-1392	62	173	d	d	PROPN
ap-1392	62	174	≤	≤	X
ap-1392	62	175	dmax	dmax	X
ap-1392	62	176	n	n	CCONJ
ap-1392	62	177	dmax	dmax	X
ap-1392	62	178	f0	f0	PROPN
ap-1392	62	179	2	2	NUM
ap-1392	62	180	21	21	NUM
ap-1392	62	181	0.153	0.153	NUM
ap-1392	62	182	099	099	NUM
ap-1392	62	183	102	102	NUM
ap-1392	62	184	86	86	NUM
ap-1392	62	185	3	3	NUM
ap-1392	62	186	21	21	NUM
ap-1392	62	187	0.026	0.026	NUM
ap-1392	62	188	183	183	NUM
ap-1392	62	189	420	420	NUM
ap-1392	62	190	7	7	NUM
ap-1392	62	191	4	4	NUM
ap-1392	62	192	26	26	NUM
ap-1392	62	193	0.003	0.003	NUM
ap-1392	62	194	327	327	NUM
ap-1392	62	195	173	173	NUM
ap-1392	62	196	4	4	NUM
ap-1392	62	197	10	10	NUM
ap-1392	62	198	acta	acta	PROPN
ap-1392	62	199	polytechnica	polytechnica	PROPN
ap-1392	62	200	vol	vol	NOUN
ap-1392	62	201	.	.	PUNCT
ap-1392	63	1	51	51	NUM
ap-1392	63	2	no	no	INTJ
ap-1392	63	3	.	.	PUNCT
ap-1392	64	1	4/2011	4/2011	NUM
ap-1392	64	2	our	our	PRON
ap-1392	64	3	second	second	ADJ
ap-1392	64	4	example	example	NOUN
ap-1392	64	5	is	be	AUX
ap-1392	64	6	the	the	DET
ap-1392	64	7	fixed	fix	VERB
ap-1392	64	8	-	-	PUNCT
ap-1392	64	9	point	point	NOUN
ap-1392	64	10	equation	equation	NOUN
ap-1392	64	11	for	for	ADP
ap-1392	64	12	wilson	wilson	PROPN
ap-1392	64	13	’s	’s	PART
ap-1392	64	14	exact	exact	ADJ
ap-1392	64	15	renormalization	renormalization	NOUN
ap-1392	64	16	group	group	NOUN
ap-1392	64	17	[	[	X
ap-1392	64	18	10	10	NUM
ap-1392	64	19	]	]	PUNCT
ap-1392	64	20	(	(	PUNCT
ap-1392	64	21	and	and	CCONJ
ap-1392	64	22	references	reference	NOUN
ap-1392	64	23	therein	therein	ADV
ap-1392	64	24	)	)	PUNCT
ap-1392	64	25	2f	2f	NUM
ap-1392	64	26	′′(x	′′(x	NOUN
ap-1392	64	27	)	)	PUNCT
ap-1392	64	28	−	−	NOUN
ap-1392	64	29	4f(x)f	4f(x)f	NUM
ap-1392	64	30	′(x	′(x	NOUN
ap-1392	64	31	)	)	PUNCT
ap-1392	64	32	−	−	PROPN
ap-1392	64	33	5xf	5xf	ADJ
ap-1392	64	34	′(x	′(x	NOUN
ap-1392	64	35	)	)	PUNCT
ap-1392	65	1	+	+	CCONJ
ap-1392	65	2	f(x	f(x	NOUN
ap-1392	65	3	)	)	PUNCT
ap-1392	66	1	=	=	SYM
ap-1392	66	2	0	0	NUM
ap-1392	66	3	,	,	PUNCT
ap-1392	66	4	x	x	X
ap-1392	66	5	>	>	X
ap-1392	66	6	0	0	NUM
ap-1392	66	7	.	.	PUNCT
ap-1392	67	1	(	(	PUNCT
ap-1392	67	2	6	6	NUM
ap-1392	67	3	)	)	PUNCT
ap-1392	67	4	the	the	DET
ap-1392	67	5	solution	solution	NOUN
ap-1392	67	6	to	to	ADP
ap-1392	67	7	this	this	DET
ap-1392	67	8	equation	equation	NOUN
ap-1392	67	9	can	can	AUX
ap-1392	67	10	be	be	AUX
ap-1392	67	11	expanded	expand	VERB
ap-1392	67	12	as	as	ADP
ap-1392	67	13	in	in	ADP
ap-1392	67	14	equation	equation	NOUN
ap-1392	67	15	(	(	PUNCT
ap-1392	67	16	1	1	NUM
ap-1392	67	17	)	)	PUNCT
ap-1392	67	18	with	with	ADP
ap-1392	67	19	α	α	NOUN
ap-1392	67	20	=	=	SYM
ap-1392	67	21	1	1	NUM
ap-1392	67	22	and	and	CCONJ
ap-1392	67	23	β	β	X
ap-1392	67	24	=	=	ADJ
ap-1392	67	25	2	2	X
ap-1392	67	26	.	.	PUNCT
ap-1392	68	1	the	the	DET
ap-1392	68	2	first	first	ADJ
ap-1392	68	3	coefficients	coefficient	NOUN
ap-1392	68	4	are	be	AUX
ap-1392	68	5	f1	f1	NOUN
ap-1392	68	6	=	=	SYM
ap-1392	68	7	f0	f0	NOUN
ap-1392	68	8	3	3	NUM
ap-1392	68	9	+	+	CCONJ
ap-1392	68	10	f20	f20	PROPN
ap-1392	68	11	3	3	NUM
ap-1392	68	12	,	,	PUNCT
ap-1392	68	13	f2	f2	NOUN
ap-1392	68	14	=	=	NOUN
ap-1392	68	15	7f0	7f0	NUM
ap-1392	68	16	60	60	NUM
ap-1392	68	17	+	+	NUM
ap-1392	68	18	f20	f20	NOUN
ap-1392	68	19	4	4	NUM
ap-1392	68	20	+	+	NUM
ap-1392	68	21	2f30	2f30	NUM
ap-1392	68	22	15	15	NUM
ap-1392	68	23	,	,	PUNCT
ap-1392	68	24	.	.	PUNCT
ap-1392	68	25	.	.	PUNCT
ap-1392	68	26	.	.	PUNCT
ap-1392	69	1	(	(	PUNCT
ap-1392	69	2	7	7	X
ap-1392	69	3	)	)	PUNCT
ap-1392	69	4	for	for	ADP
ap-1392	69	5	large	large	ADJ
ap-1392	69	6	values	value	NOUN
ap-1392	69	7	of	of	ADP
ap-1392	69	8	x	x	DET
ap-1392	69	9	the	the	DET
ap-1392	69	10	physical	physical	ADJ
ap-1392	69	11	solution	solution	NOUN
ap-1392	69	12	should	should	AUX
ap-1392	69	13	behave	behave	VERB
ap-1392	69	14	as	as	ADP
ap-1392	69	15	f(x	f(x	PROPN
ap-1392	69	16	)	)	PUNCT
ap-1392	70	1	=	=	PUNCT
ap-1392	71	1	ax1/5	ax1/5	PROPN
ap-1392	71	2	+	+	NUM
ap-1392	71	3	a2/(5x3/5	a2/(5x3/5	ADJ
ap-1392	71	4	)	)	PUNCT
ap-1392	71	5	+	+	PUNCT
ap-1392	71	6	.	.	PUNCT
ap-1392	71	7	.	.	PUNCT
ap-1392	71	8	.	.	PUNCT
ap-1392	72	1	the	the	DET
ap-1392	72	2	hankel	hankel	NOUN
ap-1392	72	3	sequences	sequence	VERB
ap-1392	72	4	with	with	ADP
ap-1392	72	5	d	d	PROPN
ap-1392	72	6	=	=	SYM
ap-1392	72	7	0	0	NUM
ap-1392	72	8	and	and	CCONJ
ap-1392	72	9	d	d	NOUN
ap-1392	72	10	=	=	SYM
ap-1392	72	11	1	1	NUM
ap-1392	72	12	converge	converge	NOUN
ap-1392	72	13	towards	towards	ADP
ap-1392	72	14	the	the	DET
ap-1392	72	15	numerical	numerical	ADJ
ap-1392	72	16	result	result	NOUN
ap-1392	73	1	[	[	X
ap-1392	73	2	10	10	NUM
ap-1392	73	3	]	]	PUNCT
ap-1392	73	4	(	(	PUNCT
ap-1392	73	5	and	and	CCONJ
ap-1392	73	6	references	reference	NOUN
ap-1392	73	7	therein	therein	ADV
ap-1392	73	8	)	)	PUNCT
ap-1392	73	9	from	from	ADP
ap-1392	73	10	above	above	ADP
ap-1392	73	11	and	and	CCONJ
ap-1392	73	12	below	below	ADV
ap-1392	73	13	,	,	PUNCT
ap-1392	73	14	respectively	respectively	ADV
ap-1392	73	15	.	.	PUNCT
ap-1392	74	1	figure	figure	NOUN
ap-1392	74	2	1	1	NUM
ap-1392	74	3	displays	display	VERB
ap-1392	74	4	the	the	DET
ap-1392	74	5	great	great	ADJ
ap-1392	74	6	rate	rate	NOUN
ap-1392	74	7	of	of	ADP
ap-1392	74	8	convergence	convergence	NOUN
ap-1392	74	9	of	of	ADP
ap-1392	74	10	these	these	DET
ap-1392	74	11	sequences	sequence	NOUN
ap-1392	74	12	as	as	ADP
ap-1392	74	13	δ	δ	PROPN
ap-1392	74	14	=	=	SYM
ap-1392	74	15	|f0(d	|f0(d	PROPN
ap-1392	74	16	,	,	PUNCT
ap-1392	74	17	d	d	NOUN
ap-1392	74	18	=	=	SYM
ap-1392	74	19	0	0	NUM
ap-1392	74	20	)	)	PUNCT
ap-1392	74	21	−	−	NOUN
ap-1392	75	1	f0(d	f0(d	PROPN
ap-1392	75	2	,	,	PUNCT
ap-1392	75	3	d	d	PROPN
ap-1392	75	4	=	=	SYM
ap-1392	75	5	1)|	1)|	NUM
ap-1392	75	6	,	,	PUNCT
ap-1392	75	7	d	d	NOUN
ap-1392	75	8	=	=	SYM
ap-1392	75	9	2	2	NUM
ap-1392	75	10	,	,	PUNCT
ap-1392	75	11	3	3	NUM
ap-1392	75	12	,	,	PUNCT
ap-1392	75	13	.	.	PUNCT
ap-1392	75	14	.	.	PUNCT
ap-1392	76	1	.	.	PUNCT
ap-1392	76	2	,	,	PUNCT
ap-1392	77	1	from	from	ADP
ap-1392	77	2	which	which	PRON
ap-1392	77	3	we	we	PRON
ap-1392	77	4	obtain	obtain	VERB
ap-1392	77	5	the	the	DET
ap-1392	77	6	accurate	accurate	ADJ
ap-1392	77	7	bounds	bound	NOUN
ap-1392	77	8	−1.228	−1.228	PROPN
ap-1392	77	9	598	598	NUM
ap-1392	77	10	202	202	NUM
ap-1392	77	11	437	437	NUM
ap-1392	77	12	021	021	NUM
ap-1392	77	13	924	924	NUM
ap-1392	77	14	38	38	NUM
ap-1392	77	15	<	<	X
ap-1392	77	16	f0	f0	PROPN
ap-1392	77	17	<	<	X
ap-1392	77	18	−1.228	−1.228	PROPN
ap-1392	77	19	598	598	NUM
ap-1392	77	20	202	202	NUM
ap-1392	77	21	437	437	NUM
ap-1392	77	22	021	021	NUM
ap-1392	77	23	924	924	NUM
ap-1392	77	24	37	37	NUM
ap-1392	77	25	.	.	PUNCT
ap-1392	78	1	0	0	NUM
ap-1392	79	1	5	5	NUM
ap-1392	79	2	10	10	NUM
ap-1392	79	3	15	15	NUM
ap-1392	79	4	20	20	NUM
ap-1392	79	5	25	25	NUM
ap-1392	79	6	d	d	NUM
ap-1392	79	7	10	10	NUM
ap-1392	79	8	-21	-21	NUM
ap-1392	79	9	10	10	NUM
ap-1392	79	10	-18	-18	SYM
ap-1392	79	11	10	10	NUM
ap-1392	79	12	-15	-15	SYM
ap-1392	79	13	10	10	NUM
ap-1392	79	14	-12	-12	NUM
ap-1392	79	15	10	10	NUM
ap-1392	79	16	-9	-9	NUM
ap-1392	79	17	10	10	NUM
ap-1392	79	18	-6	-6	NOUN
ap-1392	79	19	10	10	NUM
ap-1392	79	20	-3	-3	SYM
ap-1392	79	21	10	10	NUM
ap-1392	79	22	0	0	NUM
ap-1392	79	23	δ	δ	PROPN
ap-1392	79	24	fig	fig	NOUN
ap-1392	79	25	.	.	PUNCT
ap-1392	80	1	1	1	NUM
ap-1392	80	2	:	:	PUNCT
ap-1392	80	3	δ	δ	X
ap-1392	80	4	=	=	SYM
ap-1392	80	5	|f0(d	|f0(d	PROPN
ap-1392	80	6	,	,	PUNCT
ap-1392	80	7	d	d	PROPN
ap-1392	80	8	=	=	SYM
ap-1392	80	9	0)−	0)−	PROPN
ap-1392	81	1	f0(d	f0(d	PROPN
ap-1392	81	2	,	,	PUNCT
ap-1392	81	3	d	d	PROPN
ap-1392	81	4	=	=	SYM
ap-1392	81	5	1)|	1)|	NUM
ap-1392	81	6	for	for	ADP
ap-1392	81	7	wilson	wilson	PROPN
ap-1392	81	8	’s	’s	PART
ap-1392	81	9	renormalization	renormalization	NOUN
ap-1392	81	10	the	the	DET
ap-1392	81	11	third	third	ADJ
ap-1392	81	12	example	example	NOUN
ap-1392	81	13	comes	come	VERB
ap-1392	81	14	from	from	ADP
ap-1392	81	15	a	a	DET
ap-1392	81	16	suitably	suitably	ADV
ap-1392	81	17	modified	modify	VERB
ap-1392	81	18	wegner	wegner	PROPN
ap-1392	81	19	-	-	PUNCT
ap-1392	81	20	houghton	houghton	PROPN
ap-1392	81	21	’s	’s	PART
ap-1392	81	22	fixed	fix	VERB
ap-1392	81	23	point	point	NOUN
ap-1392	81	24	equation	equation	NOUN
ap-1392	81	25	in	in	ADP
ap-1392	81	26	the	the	DET
ap-1392	81	27	local	local	ADJ
ap-1392	81	28	potential	potential	ADJ
ap-1392	81	29	approximation	approximation	NOUN
ap-1392	81	30	[	[	X
ap-1392	81	31	10	10	NUM
ap-1392	81	32	]	]	PUNCT
ap-1392	81	33	(	(	PUNCT
ap-1392	81	34	and	and	CCONJ
ap-1392	81	35	references	reference	NOUN
ap-1392	81	36	therein	therein	ADV
ap-1392	81	37	)	)	PUNCT
ap-1392	81	38	2f	2f	NUM
ap-1392	81	39	′′(x)+[1+f	′′(x)+[1+f	NOUN
ap-1392	81	40	′(x)][5f(x)−xf	′(x)][5f(x)−xf	PROPN
ap-1392	81	41	′(x	′(x	NOUN
ap-1392	81	42	)	)	PUNCT
ap-1392	81	43	]	]	PUNCT
ap-1392	82	1	=	=	PUNCT
ap-1392	82	2	0	0	NUM
ap-1392	82	3	,	,	PUNCT
ap-1392	82	4	x	x	X
ap-1392	82	5	>	>	X
ap-1392	82	6	0	0	NUM
ap-1392	82	7	.	.	PUNCT
ap-1392	83	1	(	(	PUNCT
ap-1392	83	2	8)	8)	NUM
ap-1392	83	3	the	the	DET
ap-1392	83	4	solution	solution	NOUN
ap-1392	83	5	satisfies	satisfy	VERB
ap-1392	83	6	the	the	DET
ap-1392	83	7	series	series	NOUN
ap-1392	83	8	(	(	PUNCT
ap-1392	83	9	1	1	NUM
ap-1392	83	10	)	)	PUNCT
ap-1392	83	11	with	with	ADP
ap-1392	83	12	α	α	NOUN
ap-1392	83	13	=	=	SYM
ap-1392	83	14	1	1	NUM
ap-1392	83	15	and	and	CCONJ
ap-1392	83	16	β	β	X
ap-1392	83	17	=	=	SYM
ap-1392	83	18	2	2	NUM
ap-1392	83	19	,	,	PUNCT
ap-1392	83	20	and	and	CCONJ
ap-1392	83	21	the	the	DET
ap-1392	83	22	first	first	ADJ
ap-1392	83	23	coefficients	coefficient	NOUN
ap-1392	83	24	are	be	AUX
ap-1392	83	25	f1	f1	NOUN
ap-1392	83	26	=	=	SYM
ap-1392	83	27	−f0	−f0	PROPN
ap-1392	83	28	3	3	NUM
ap-1392	83	29	−	−	NOUN
ap-1392	83	30	f20	f20	NOUN
ap-1392	83	31	3	3	NUM
ap-1392	83	32	,	,	PUNCT
ap-1392	83	33	f2	f2	PROPN
ap-1392	83	34	=	=	SYM
ap-1392	83	35	f0	f0	PROPN
ap-1392	83	36	60	60	NUM
ap-1392	84	1	+	+	CCONJ
ap-1392	84	2	2f20	2f20	NUM
ap-1392	84	3	15	15	NUM
ap-1392	85	1	+	+	CCONJ
ap-1392	85	2	7f30	7f30	NUM
ap-1392	85	3	60	60	NUM
ap-1392	85	4	,	,	PUNCT
ap-1392	85	5	.	.	PUNCT
ap-1392	85	6	.	.	PUNCT
ap-1392	86	1	.	.	PUNCT
ap-1392	87	1	(	(	PUNCT
ap-1392	87	2	9	9	X
ap-1392	87	3	)	)	PUNCT
ap-1392	87	4	on	on	ADP
ap-1392	87	5	the	the	DET
ap-1392	87	6	other	other	ADJ
ap-1392	87	7	hand	hand	NOUN
ap-1392	87	8	,	,	PUNCT
ap-1392	87	9	the	the	DET
ap-1392	87	10	acceptable	acceptable	ADJ
ap-1392	87	11	solution	solution	NOUN
ap-1392	87	12	should	should	AUX
ap-1392	87	13	behave	behave	VERB
ap-1392	87	14	as	as	ADP
ap-1392	87	15	f(x	f(x	PROPN
ap-1392	87	16	)	)	PUNCT
ap-1392	88	1	=	=	PUNCT
ap-1392	88	2	ax5	ax5	X
ap-1392	89	1	−	−	PROPN
ap-1392	89	2	4/(3x	4/(3x	NUM
ap-1392	89	3	)	)	PUNCT
ap-1392	90	1	+	+	CCONJ
ap-1392	90	2	.	.	PUNCT
ap-1392	90	3	.	.	PUNCT
ap-1392	90	4	.	.	PUNCT
ap-1392	91	1	when	when	SCONJ
ap-1392	91	2	x	x	X
ap-1392	91	3	�	�	PROPN
ap-1392	91	4	1	1	NUM
ap-1392	91	5	.	.	PUNCT
ap-1392	91	6	table	table	NOUN
ap-1392	91	7	4	4	NUM
ap-1392	91	8	shows	show	VERB
ap-1392	91	9	hankel	hankel	NOUN
ap-1392	91	10	sequences	sequence	NOUN
ap-1392	91	11	with	with	ADP
ap-1392	91	12	d	d	PROPN
ap-1392	91	13	=	=	SYM
ap-1392	91	14	0	0	NUM
ap-1392	92	1	and	and	CCONJ
ap-1392	92	2	d	d	NOUN
ap-1392	92	3	=	=	SYM
ap-1392	92	4	1	1	NUM
ap-1392	92	5	that	that	PRON
ap-1392	92	6	clearly	clearly	ADV
ap-1392	92	7	converge	converge	VERB
ap-1392	92	8	towards	towards	ADP
ap-1392	92	9	the	the	DET
ap-1392	92	10	numerical	numerical	ADJ
ap-1392	92	11	value	value	NOUN
ap-1392	92	12	of	of	ADP
ap-1392	92	13	f0	f0	PROPN
ap-1392	93	1	[	[	X
ap-1392	93	2	10	10	NUM
ap-1392	93	3	]	]	PUNCT
ap-1392	93	4	(	(	PUNCT
ap-1392	93	5	and	and	CCONJ
ap-1392	93	6	references	reference	NOUN
ap-1392	93	7	therein	therein	ADV
ap-1392	93	8	)	)	PUNCT
ap-1392	93	9	.	.	PUNCT
ap-1392	94	1	table	table	NOUN
ap-1392	94	2	4	4	NUM
ap-1392	94	3	:	:	PUNCT
ap-1392	94	4	convergence	convergence	NOUN
ap-1392	94	5	of	of	ADP
ap-1392	94	6	the	the	DET
ap-1392	94	7	hankel	hankel	NOUN
ap-1392	94	8	sequences	sequence	NOUN
ap-1392	94	9	for	for	ADP
ap-1392	94	10	the	the	DET
ap-1392	94	11	wegner	wegner	PROPN
ap-1392	94	12	-	-	PUNCT
ap-1392	94	13	houghton	houghton	PROPN
ap-1392	94	14	connection	connection	NOUN
ap-1392	94	15	parameter	parameter	NOUN
ap-1392	95	1	d	d	PROPN
ap-1392	95	2	d	d	PROPN
ap-1392	95	3	=	=	SYM
ap-1392	95	4	0	0	PUNCT
ap-1392	96	1	d	d	NOUN
ap-1392	96	2	=	=	SYM
ap-1392	96	3	1	1	NUM
ap-1392	96	4	3	3	NUM
ap-1392	96	5	−0.301	−0.301	NOUN
ap-1392	96	6	365	365	NUM
ap-1392	96	7	209	209	NUM
ap-1392	96	8	2	2	NUM
ap-1392	96	9	−0.419	−0.419	NOUN
ap-1392	96	10	012	012	NUM
ap-1392	96	11	931	931	NUM
ap-1392	96	12	2	2	NUM
ap-1392	96	13	4	4	NUM
ap-1392	96	14	−0.540	−0.540	NOUN
ap-1392	96	15	511	511	NUM
ap-1392	96	16	282	282	NUM
ap-1392	96	17	4	4	NUM
ap-1392	96	18	−0.469	−0.469	NOUN
ap-1392	96	19	645	645	NUM
ap-1392	96	20	717	717	NUM
ap-1392	96	21	0	0	NUM
ap-1392	96	22	5	5	NUM
ap-1392	96	23	−0.455	−0.455	NUM
ap-1392	96	24	201	201	NUM
ap-1392	96	25	249	249	NUM
ap-1392	96	26	3	3	NUM
ap-1392	96	27	−0.460	−0.460	VERB
ap-1392	96	28	479	479	NUM
ap-1392	96	29	692	692	NUM
ap-1392	96	30	6	6	NUM
ap-1392	96	31	6	6	NUM
ap-1392	96	32	−0.462	−0.462	NOUN
ap-1392	96	33	452	452	NUM
ap-1392	96	34	597	597	NUM
ap-1392	96	35	9	9	NUM
ap-1392	96	36	−0.461	−0.461	NUM
ap-1392	96	37	693	693	NUM
ap-1392	96	38	582	582	NUM
ap-1392	96	39	1	1	NUM
ap-1392	96	40	7	7	NUM
ap-1392	96	41	−0.461	−0.461	NUM
ap-1392	96	42	375	375	NUM
ap-1392	96	43	992	992	NUM
ap-1392	96	44	6	6	NUM
ap-1392	96	45	−0.461	−0.461	NUM
ap-1392	96	46	509	509	NUM
ap-1392	96	47	171	171	NUM
ap-1392	96	48	7	7	NUM
ap-1392	96	49	8	8	NUM
ap-1392	96	50	−0.461	−0.461	NUM
ap-1392	96	51	557	557	NUM
ap-1392	96	52	112	112	NUM
ap-1392	96	53	9	9	NUM
ap-1392	96	54	−0.461	−0.461	NOUN
ap-1392	96	55	537	537	NUM
ap-1392	96	56	339	339	NUM
ap-1392	96	57	3	3	NUM
ap-1392	96	58	9	9	NUM
ap-1392	96	59	−0.461	−0.461	NUM
ap-1392	96	60	530	530	NUM
ap-1392	96	61	376	376	NUM
ap-1392	96	62	7	7	NUM
ap-1392	96	63	−0.461	−0.461	NUM
ap-1392	96	64	533	533	NUM
ap-1392	96	65	153	153	NUM
ap-1392	96	66	5	5	NUM
ap-1392	96	67	10	10	NUM
ap-1392	96	68	−0.461	−0.461	NUM
ap-1392	96	69	534	534	NUM
ap-1392	96	70	297	297	NUM
ap-1392	96	71	5	5	NUM
ap-1392	96	72	−0.461	−0.461	NUM
ap-1392	96	73	533	533	NUM
ap-1392	96	74	816	816	NUM
ap-1392	96	75	5	5	NUM
ap-1392	96	76	11	11	NUM
ap-1392	96	77	−0.461	−0.461	NUM
ap-1392	96	78	533	533	NUM
ap-1392	96	79	614	614	NUM
ap-1392	96	80	7	7	NUM
ap-1392	96	81	−0.461	−0.461	NUM
ap-1392	96	82	533	533	NUM
ap-1392	96	83	704	704	NUM
ap-1392	96	84	3	3	NUM
ap-1392	96	85	12	12	NUM
ap-1392	96	86	−0.461	−0.461	NUM
ap-1392	96	87	533	533	NUM
ap-1392	96	88	735	735	NUM
ap-1392	96	89	7	7	NUM
ap-1392	96	90	−0.461	−0.461	NUM
ap-1392	96	91	533	533	NUM
ap-1392	96	92	722	722	NUM
ap-1392	96	93	7	7	NUM
ap-1392	96	94	13	13	NUM
ap-1392	96	95	−0.461	−0.461	NUM
ap-1392	96	96	533	533	NUM
ap-1392	96	97	717	717	NUM
ap-1392	96	98	3	3	NUM
ap-1392	96	99	−0.461	−0.461	NUM
ap-1392	96	100	533	533	NUM
ap-1392	96	101	719	719	NUM
ap-1392	96	102	6	6	NUM
ap-1392	96	103	14	14	NUM
ap-1392	96	104	−0.461	−0.461	NUM
ap-1392	96	105	533	533	NUM
ap-1392	96	106	720	720	NUM
ap-1392	96	107	7	7	NUM
ap-1392	96	108	−0.461	−0.461	NUM
ap-1392	96	109	533	533	NUM
ap-1392	96	110	720	720	NUM
ap-1392	96	111	2	2	NUM
ap-1392	96	112	15	15	NUM
ap-1392	96	113	−0.461	−0.461	NUM
ap-1392	96	114	533	533	NUM
ap-1392	96	115	720	720	NUM
ap-1392	96	116	0	0	NUM
ap-1392	97	1	−0.461	−0.461	NUM
ap-1392	97	2	533	533	NUM
ap-1392	97	3	720	720	NUM
ap-1392	97	4	1	1	NUM
ap-1392	97	5	16	16	NUM
ap-1392	97	6	−0.461	−0.461	NUM
ap-1392	97	7	533	533	NUM
ap-1392	97	8	720	720	NUM
ap-1392	97	9	13	13	NUM
ap-1392	97	10	−0.461	−0.461	NUM
ap-1392	97	11	533	533	NUM
ap-1392	97	12	720	720	NUM
ap-1392	97	13	119	119	NUM
ap-1392	97	14	17	17	NUM
ap-1392	97	15	−0.461	−0.461	NUM
ap-1392	97	16	533	533	NUM
ap-1392	97	17	720	720	NUM
ap-1392	97	18	113	113	NUM
ap-1392	97	19	−0.461	−0.461	NUM
ap-1392	97	20	533	533	NUM
ap-1392	97	21	720	720	NUM
ap-1392	97	22	115	115	NUM
ap-1392	97	23	7	7	NUM
ap-1392	97	24	18	18	NUM
ap-1392	97	25	−0.461	−0.461	NUM
ap-1392	97	26	533	533	NUM
ap-1392	97	27	720	720	NUM
ap-1392	97	28	116	116	NUM
ap-1392	97	29	8	8	NUM
ap-1392	97	30	−0.461	−0.461	NUM
ap-1392	97	31	533	533	NUM
ap-1392	97	32	720	720	NUM
ap-1392	97	33	116	116	NUM
ap-1392	97	34	3	3	NUM
ap-1392	97	35	19	19	NUM
ap-1392	97	36	−0.461	−0.461	NUM
ap-1392	97	37	533	533	NUM
ap-1392	97	38	720	720	NUM
ap-1392	97	39	116	116	NUM
ap-1392	97	40	1	1	NUM
ap-1392	97	41	−0.461	−0.461	NUM
ap-1392	97	42	533	533	NUM
ap-1392	97	43	720	720	NUM
ap-1392	97	44	116	116	NUM
ap-1392	97	45	2	2	NUM
ap-1392	97	46	20	20	NUM
ap-1392	97	47	−0.461	−0.461	NUM
ap-1392	97	48	533	533	NUM
ap-1392	97	49	720	720	NUM
ap-1392	97	50	116	116	NUM
ap-1392	97	51	2	2	NUM
ap-1392	97	52	we	we	PRON
ap-1392	97	53	have	have	AUX
ap-1392	97	54	also	also	ADV
ap-1392	97	55	applied	apply	VERB
ap-1392	97	56	our	our	PRON
ap-1392	97	57	approach	approach	NOUN
ap-1392	97	58	to	to	ADP
ap-1392	97	59	the	the	DET
ap-1392	97	60	ordinary	ordinary	ADJ
ap-1392	97	61	differential	differential	ADJ
ap-1392	97	62	equation	equation	NOUN
ap-1392	97	63	for	for	ADP
ap-1392	97	64	the	the	DET
ap-1392	97	65	spherically	spherically	PROPN
ap-1392	97	66	symmetric	symmetric	ADJ
ap-1392	97	67	skyrmion	skyrmion	NOUN
ap-1392	97	68	field	field	NOUN
ap-1392	97	69	[	[	X
ap-1392	97	70	10	10	NUM
ap-1392	97	71	]	]	PUNCT
ap-1392	97	72	(	(	PUNCT
ap-1392	97	73	and	and	CCONJ
ap-1392	97	74	references	reference	NOUN
ap-1392	97	75	therein	therein	ADV
ap-1392	97	76	)	)	PUNCT
ap-1392	97	77	but	but	CCONJ
ap-1392	97	78	we	we	PRON
ap-1392	97	79	could	could	AUX
ap-1392	97	80	not	not	PART
ap-1392	97	81	obtain	obtain	VERB
ap-1392	97	82	convergent	convergent	ADJ
ap-1392	97	83	hankel	hankel	NOUN
ap-1392	97	84	sequences	sequence	NOUN
ap-1392	97	85	.	.	PUNCT
ap-1392	98	1	we	we	PRON
ap-1392	98	2	do	do	AUX
ap-1392	98	3	not	not	PART
ap-1392	98	4	yet	yet	ADV
ap-1392	98	5	know	know	VERB
ap-1392	98	6	the	the	DET
ap-1392	98	7	reason	reason	NOUN
ap-1392	98	8	for	for	ADP
ap-1392	98	9	the	the	DET
ap-1392	98	10	failure	failure	NOUN
ap-1392	98	11	of	of	ADP
ap-1392	98	12	the	the	DET
ap-1392	98	13	method	method	NOUN
ap-1392	98	14	in	in	ADP
ap-1392	98	15	this	this	DET
ap-1392	98	16	case	case	NOUN
ap-1392	98	17	.	.	PUNCT
ap-1392	99	1	the	the	DET
ap-1392	99	2	present	present	ADJ
ap-1392	99	3	approach	approach	NOUN
ap-1392	99	4	has	have	AUX
ap-1392	99	5	earlier	early	ADV
ap-1392	99	6	proved	prove	VERB
ap-1392	99	7	suitable	suitable	ADJ
ap-1392	99	8	for	for	ADP
ap-1392	99	9	the	the	DET
ap-1392	99	10	treatment	treatment	NOUN
ap-1392	99	11	of	of	ADP
ap-1392	99	12	the	the	DET
ap-1392	99	13	riccati	riccati	PROPN
ap-1392	99	14	equation	equation	NOUN
ap-1392	99	15	derived	derive	VERB
ap-1392	99	16	from	from	ADP
ap-1392	99	17	the	the	DET
ap-1392	99	18	schrödinger	schrödinger	NOUN
ap-1392	99	19	equation	equation	NOUN
ap-1392	99	20	[	[	X
ap-1392	99	21	1–3,5	1–3,5	NUM
ap-1392	99	22	,	,	PUNCT
ap-1392	99	23	6	6	NUM
ap-1392	99	24	,	,	PUNCT
ap-1392	99	25	4	4	NUM
ap-1392	99	26	,	,	PUNCT
ap-1392	99	27	7–9	7–9	NOUN
ap-1392	99	28	]	]	PUNCT
ap-1392	99	29	.	.	PUNCT
ap-1392	100	1	consider	consider	VERB
ap-1392	100	2	,	,	PUNCT
ap-1392	100	3	for	for	ADP
ap-1392	100	4	example	example	NOUN
ap-1392	100	5	,	,	PUNCT
ap-1392	100	6	the	the	DET
ap-1392	100	7	following	follow	VERB
ap-1392	100	8	riccati	riccati	PROPN
ap-1392	100	9	equation	equation	NOUN
ap-1392	100	10	f	f	PROPN
ap-1392	100	11	′(x	′(x	PROPN
ap-1392	100	12	)	)	PUNCT
ap-1392	100	13	−	−	PROPN
ap-1392	100	14	f(x)2	f(x)2	NOUN
ap-1392	101	1	+	+	CCONJ
ap-1392	101	2	x2	x2	PROPN
ap-1392	101	3	=	=	SYM
ap-1392	101	4	0	0	PROPN
ap-1392	101	5	,	,	PUNCT
ap-1392	101	6	x	x	X
ap-1392	101	7	>	>	X
ap-1392	101	8	0	0	NUM
ap-1392	101	9	.	.	PUNCT
ap-1392	102	1	(	(	PUNCT
ap-1392	102	2	10	10	NUM
ap-1392	102	3	)	)	PUNCT
ap-1392	102	4	the	the	DET
ap-1392	102	5	solution	solution	NOUN
ap-1392	102	6	can	can	AUX
ap-1392	102	7	be	be	AUX
ap-1392	102	8	expanded	expand	VERB
ap-1392	102	9	as	as	ADP
ap-1392	102	10	in	in	ADP
ap-1392	102	11	equation	equation	NOUN
ap-1392	102	12	(	(	PUNCT
ap-1392	102	13	1	1	NUM
ap-1392	102	14	)	)	PUNCT
ap-1392	102	15	with	with	ADP
ap-1392	102	16	α	α	NOUN
ap-1392	102	17	=	=	SYM
ap-1392	102	18	β	β	X
ap-1392	102	19	=	=	SYM
ap-1392	102	20	1	1	NUM
ap-1392	102	21	;	;	PUNCT
ap-1392	102	22	the	the	DET
ap-1392	102	23	first	first	ADJ
ap-1392	102	24	coefficients	coefficient	NOUN
ap-1392	102	25	are	be	AUX
ap-1392	102	26	f1	f1	NOUN
ap-1392	102	27	=	=	SYM
ap-1392	102	28	f20	f20	NOUN
ap-1392	102	29	,	,	PUNCT
ap-1392	102	30	f2	f2	ADJ
ap-1392	102	31	=	=	SYM
ap-1392	102	32	f30	f30	NOUN
ap-1392	102	33	,	,	PUNCT
ap-1392	102	34	f3	f3	NOUN
ap-1392	102	35	=	=	SYM
ap-1392	102	36	−1	−1	NOUN
ap-1392	102	37	3	3	NUM
ap-1392	102	38	+	+	NUM
ap-1392	102	39	f40	f40	NOUN
ap-1392	102	40	,	,	PUNCT
ap-1392	102	41	.	.	PUNCT
ap-1392	102	42	.	.	PUNCT
ap-1392	103	1	.	.	PUNCT
ap-1392	104	1	there	there	PRON
ap-1392	104	2	is	be	VERB
ap-1392	104	3	a	a	DET
ap-1392	104	4	critical	critical	ADJ
ap-1392	104	5	value	value	NOUN
ap-1392	104	6	f0c	f0c	NOUN
ap-1392	104	7	of	of	ADP
ap-1392	104	8	f(0	f(0	NOUN
ap-1392	104	9	)	)	PUNCT
ap-1392	104	10	=	=	PUNCT
ap-1392	105	1	f0	f0	PROPN
ap-1392	105	2	such	such	ADJ
ap-1392	105	3	that	that	SCONJ
ap-1392	105	4	f(x	f(x	NOUN
ap-1392	105	5	)	)	PUNCT
ap-1392	105	6	∼	∼	NOUN
ap-1392	105	7	−x	−x	NOUN
ap-1392	105	8	at	at	ADP
ap-1392	105	9	large	large	ADJ
ap-1392	105	10	x	x	NOUN
ap-1392	105	11	if	if	SCONJ
ap-1392	105	12	f(0	f(0	NOUN
ap-1392	105	13	)	)	PUNCT
ap-1392	105	14	<	<	X
ap-1392	105	15	f0c	f0c	NOUN
ap-1392	105	16	,	,	PUNCT
ap-1392	105	17	f(x	f(x	PROPN
ap-1392	105	18	)	)	PUNCT
ap-1392	105	19	develops	develop	VERB
ap-1392	105	20	a	a	DET
ap-1392	105	21	singular	singular	ADJ
ap-1392	105	22	point	point	NOUN
ap-1392	105	23	if	if	SCONJ
ap-1392	105	24	f(0	f(0	NOUN
ap-1392	105	25	)	)	PUNCT
ap-1392	105	26	>	>	PUNCT
ap-1392	105	27	f0c	f0c	NOUN
ap-1392	105	28	,	,	PUNCT
ap-1392	105	29	and	and	CCONJ
ap-1392	105	30	f(x	f(x	NOUN
ap-1392	105	31	)	)	PUNCT
ap-1392	105	32	∼	∼	NOUN
ap-1392	105	33	x	x	PUNCT
ap-1392	105	34	at	at	ADP
ap-1392	105	35	large	large	ADJ
ap-1392	105	36	x	x	NOUN
ap-1392	105	37	if	if	SCONJ
ap-1392	105	38	f(0	f(0	NOUN
ap-1392	105	39	)	)	PUNCT
ap-1392	105	40	=	=	PUNCT
ap-1392	105	41	f0c	f0c	NOUN
ap-1392	105	42	.	.	PUNCT
ap-1392	106	1	the	the	DET
ap-1392	106	2	present	present	ADJ
ap-1392	106	3	padé-hankel	padé-hankel	NOUN
ap-1392	106	4	method	method	NOUN
ap-1392	106	5	yields	yield	VERB
ap-1392	106	6	the	the	DET
ap-1392	106	7	value	value	NOUN
ap-1392	106	8	of	of	ADP
ap-1392	106	9	f0c	f0c	NOUN
ap-1392	106	10	with	with	ADP
ap-1392	106	11	remarkable	remarkable	ADJ
ap-1392	106	12	accuracy	accuracy	NOUN
ap-1392	106	13	,	,	PUNCT
ap-1392	106	14	as	as	SCONJ
ap-1392	106	15	shown	show	VERB
ap-1392	106	16	in	in	ADP
ap-1392	106	17	table	table	NOUN
ap-1392	106	18	5	5	NUM
ap-1392	106	19	.	.	PUNCT
ap-1392	107	1	the	the	DET
ap-1392	107	2	rate	rate	NOUN
ap-1392	107	3	of	of	ADP
ap-1392	107	4	convergence	convergence	NOUN
ap-1392	107	5	of	of	ADP
ap-1392	107	6	the	the	DET
ap-1392	107	7	hankel	hankel	NOUN
ap-1392	107	8	sequence	sequence	NOUN
ap-1392	107	9	for	for	ADP
ap-1392	107	10	this	this	DET
ap-1392	107	11	problem	problem	NOUN
ap-1392	107	12	is	be	AUX
ap-1392	107	13	considerably	considerably	ADV
ap-1392	107	14	greater	great	ADJ
ap-1392	107	15	than	than	ADP
ap-1392	107	16	for	for	ADP
ap-1392	107	17	the	the	DET
ap-1392	107	18	preceding	precede	VERB
ap-1392	107	19	ones	one	NOUN
ap-1392	107	20	.	.	PUNCT
ap-1392	108	1	if	if	SCONJ
ap-1392	108	2	we	we	PRON
ap-1392	108	3	substitute	substitute	VERB
ap-1392	108	4	f(x	f(x	PROPN
ap-1392	108	5	)	)	PUNCT
ap-1392	109	1	=	=	PUNCT
ap-1392	109	2	−y′(x)/y(x	−y′(x)/y(x	PROPN
ap-1392	109	3	)	)	PUNCT
ap-1392	109	4	into	into	ADP
ap-1392	109	5	equation	equation	NOUN
ap-1392	109	6	(	(	PUNCT
ap-1392	109	7	10	10	NUM
ap-1392	109	8	)	)	PUNCT
ap-1392	109	9	,	,	PUNCT
ap-1392	109	10	then	then	ADV
ap-1392	109	11	the	the	DET
ap-1392	109	12	function	function	NOUN
ap-1392	109	13	y(x	y(x	PROPN
ap-1392	109	14	)	)	PUNCT
ap-1392	109	15	satisfies	satisfy	VERB
ap-1392	109	16	the	the	DET
ap-1392	109	17	schrödinger	schrödinger	NOUN
ap-1392	109	18	equation	equation	NOUN
ap-1392	109	19	for	for	ADP
ap-1392	109	20	a	a	DET
ap-1392	109	21	harmonic	harmonic	ADJ
ap-1392	109	22	oscillator	oscillator	NOUN
ap-1392	109	23	with	with	ADP
ap-1392	109	24	zero	zero	NUM
ap-1392	109	25	energy	energy	NOUN
ap-1392	109	26	11	11	NUM
ap-1392	109	27	acta	acta	PROPN
ap-1392	109	28	polytechnica	polytechnica	PROPN
ap-1392	109	29	vol	vol	NOUN
ap-1392	109	30	.	.	PUNCT
ap-1392	110	1	51	51	NUM
ap-1392	110	2	no	no	INTJ
ap-1392	110	3	.	.	PUNCT
ap-1392	111	1	4/2011	4/2011	NUM
ap-1392	111	2	table	table	NOUN
ap-1392	111	3	5	5	NUM
ap-1392	111	4	:	:	PUNCT
ap-1392	111	5	convergence	convergence	NOUN
ap-1392	111	6	of	of	ADP
ap-1392	111	7	the	the	DET
ap-1392	111	8	hankel	hankel	NOUN
ap-1392	111	9	sequences	sequence	NOUN
ap-1392	111	10	with	with	ADP
ap-1392	111	11	d	d	PROPN
ap-1392	111	12	=	=	SYM
ap-1392	111	13	0	0	NUM
ap-1392	111	14	for	for	ADP
ap-1392	111	15	the	the	DET
ap-1392	111	16	riccati	riccati	PROPN
ap-1392	111	17	equation	equation	NOUN
ap-1392	111	18	d	d	PROPN
ap-1392	111	19	f0	f0	VERB
ap-1392	111	20	4	4	NUM
ap-1392	111	21	0.676	0.676	NUM
ap-1392	111	22	2	2	NUM
ap-1392	111	23	5	5	NUM
ap-1392	111	24	0.675	0.675	NUM
ap-1392	111	25	970	970	NUM
ap-1392	111	26	6	6	NUM
ap-1392	111	27	0.675	0.675	NUM
ap-1392	111	28	978	978	NUM
ap-1392	111	29	5	5	NUM
ap-1392	111	30	7	7	NUM
ap-1392	111	31	0.675	0.675	NUM
ap-1392	111	32	978	978	NUM
ap-1392	111	33	23	23	NUM
ap-1392	111	34	8	8	NUM
ap-1392	111	35	0.675	0.675	NUM
ap-1392	111	36	978	978	NUM
ap-1392	111	37	240	240	NUM
ap-1392	111	38	3	3	NUM
ap-1392	111	39	9	9	NUM
ap-1392	111	40	0.675	0.675	NUM
ap-1392	111	41	978	978	NUM
ap-1392	111	42	240	240	NUM
ap-1392	111	43	059	059	NUM
ap-1392	111	44	10	10	NUM
ap-1392	111	45	0.675	0.675	NUM
ap-1392	111	46	978	978	NUM
ap-1392	111	47	240	240	NUM
ap-1392	111	48	067	067	NUM
ap-1392	111	49	5	5	NUM
ap-1392	111	50	11	11	NUM
ap-1392	111	51	0.675	0.675	NUM
ap-1392	111	52	978	978	NUM
ap-1392	111	53	240	240	NUM
ap-1392	111	54	067	067	NUM
ap-1392	111	55	277	277	NUM
ap-1392	111	56	12	12	NUM
ap-1392	111	57	0.675	0.675	NUM
ap-1392	111	58	978	978	NUM
ap-1392	111	59	240	240	NUM
ap-1392	111	60	067	067	NUM
ap-1392	111	61	285	285	NUM
ap-1392	111	62	0	0	NUM
ap-1392	111	63	13	13	NUM
ap-1392	111	64	0.675	0.675	NUM
ap-1392	111	65	978	978	NUM
ap-1392	111	66	240	240	NUM
ap-1392	111	67	067	067	NUM
ap-1392	111	68	284	284	NUM
ap-1392	111	69	722	722	NUM
ap-1392	111	70	14	14	NUM
ap-1392	111	71	0.675	0.675	NUM
ap-1392	111	72	978	978	NUM
ap-1392	111	73	240	240	NUM
ap-1392	111	74	067	067	NUM
ap-1392	111	75	284	284	NUM
ap-1392	111	76	729	729	NUM
ap-1392	111	77	15	15	NUM
ap-1392	111	78	0.675	0.675	NUM
ap-1392	111	79	978	978	NUM
ap-1392	111	80	240	240	NUM
ap-1392	111	81	067	067	NUM
ap-1392	111	82	284	284	NUM
ap-1392	111	83	728	728	NUM
ap-1392	111	84	99	99	NUM
ap-1392	111	85	16	16	NUM
ap-1392	111	86	0.675	0.675	NUM
ap-1392	111	87	978	978	NUM
ap-1392	111	88	240	240	NUM
ap-1392	111	89	067	067	NUM
ap-1392	111	90	284	284	NUM
ap-1392	111	91	729	729	NUM
ap-1392	111	92	00	00	NUM
ap-1392	111	93	17	17	NUM
ap-1392	111	94	0.675	0.675	NUM
ap-1392	111	95	978	978	NUM
ap-1392	111	96	240	240	NUM
ap-1392	111	97	067	067	NUM
ap-1392	111	98	284	284	NUM
ap-1392	111	99	729	729	NUM
ap-1392	111	100	00	00	NUM
ap-1392	111	101	table	table	NOUN
ap-1392	111	102	6	6	NUM
ap-1392	111	103	:	:	PUNCT
ap-1392	111	104	convergence	convergence	NOUN
ap-1392	111	105	of	of	ADP
ap-1392	111	106	the	the	DET
ap-1392	111	107	hankel	hankel	NOUN
ap-1392	111	108	sequences	sequence	NOUN
ap-1392	111	109	with	with	ADP
ap-1392	111	110	d	d	PROPN
ap-1392	111	111	=	=	SYM
ap-1392	111	112	4	4	NUM
ap-1392	111	113	for	for	ADP
ap-1392	111	114	the	the	DET
ap-1392	111	115	thomas	thomas	PROPN
ap-1392	111	116	-	-	PUNCT
ap-1392	111	117	fermi	fermi	NOUN
ap-1392	111	118	equation	equation	NOUN
ap-1392	111	119	d	d	NOUN
ap-1392	111	120	2f2	2f2	NUM
ap-1392	111	121	10	10	NUM
ap-1392	111	122	−1.588	−1.588	NOUN
ap-1392	111	123	070	070	NUM
ap-1392	111	124	9	9	NUM
ap-1392	111	125	11	11	NUM
ap-1392	111	126	−1.588	−1.588	NOUN
ap-1392	111	127	070	070	NUM
ap-1392	111	128	6	6	NUM
ap-1392	111	129	12	12	NUM
ap-1392	111	130	−1.588	−1.588	NOUN
ap-1392	111	131	071	071	NUM
ap-1392	111	132	03	03	NUM
ap-1392	111	133	13	13	NUM
ap-1392	111	134	−1.588	−1.588	NOUN
ap-1392	111	135	071	071	NUM
ap-1392	111	136	024	024	NUM
ap-1392	111	137	14	14	NUM
ap-1392	111	138	−1.588	−1.588	NOUN
ap-1392	111	139	071	071	NUM
ap-1392	111	140	022	022	NUM
ap-1392	111	141	7	7	NUM
ap-1392	111	142	15	15	NUM
ap-1392	111	143	−1.588	−1.588	NOUN
ap-1392	111	144	071	071	NUM
ap-1392	111	145	022	022	NUM
ap-1392	111	146	64	64	NUM
ap-1392	111	147	16	16	NUM
ap-1392	111	148	−1.588	−1.588	NOUN
ap-1392	111	149	071	071	NUM
ap-1392	111	150	022	022	NUM
ap-1392	111	151	609	609	NUM
ap-1392	111	152	17	17	NUM
ap-1392	111	153	−1.588	−1.588	NOUN
ap-1392	111	154	071	071	NUM
ap-1392	111	155	022	022	NUM
ap-1392	111	156	609	609	NUM
ap-1392	111	157	18	18	NUM
ap-1392	111	158	−1.588	−1.588	NOUN
ap-1392	111	159	071	071	NUM
ap-1392	111	160	022	022	NUM
ap-1392	111	161	611	611	NUM
ap-1392	111	162	6	6	NUM
ap-1392	111	163	19	19	NUM
ap-1392	111	164	−1.588	−1.588	NOUN
ap-1392	111	165	071	071	NUM
ap-1392	111	166	022	022	NUM
ap-1392	111	167	611	611	NUM
ap-1392	111	168	5	5	NUM
ap-1392	111	169	20	20	NUM
ap-1392	111	170	−1.588	−1.588	NOUN
ap-1392	111	171	071	071	NUM
ap-1392	111	172	022	022	NUM
ap-1392	111	173	611	611	NUM
ap-1392	111	174	39	39	NUM
ap-1392	111	175	21	21	NUM
ap-1392	111	176	−1.588	−1.588	NOUN
ap-1392	111	177	071	071	NUM
ap-1392	111	178	022	022	NUM
ap-1392	111	179	611	611	NUM
ap-1392	111	180	38	38	NUM
ap-1392	111	181	22	22	NUM
ap-1392	111	182	−1.588	−1.588	NOUN
ap-1392	111	183	071	071	NUM
ap-1392	111	184	022	022	NUM
ap-1392	111	185	611	611	NUM
ap-1392	111	186	37	37	NUM
ap-1392	111	187	23	23	NUM
ap-1392	111	188	−1.588	−1.588	NOUN
ap-1392	111	189	071	071	NUM
ap-1392	111	190	022	022	NUM
ap-1392	111	191	611	611	NUM
ap-1392	111	192	37	37	NUM
ap-1392	111	193	24	24	NUM
ap-1392	111	194	−1.588	−1.588	NOUN
ap-1392	111	195	071	071	NUM
ap-1392	111	196	022	022	NUM
ap-1392	111	197	611	611	NUM
ap-1392	111	198	375	375	NUM
ap-1392	111	199	6	6	NUM
ap-1392	111	200	25	25	NUM
ap-1392	111	201	−1.588	−1.588	NOUN
ap-1392	111	202	071	071	NUM
ap-1392	111	203	022	022	NUM
ap-1392	111	204	611	611	NUM
ap-1392	111	205	375	375	NUM
ap-1392	111	206	37	37	NUM
ap-1392	111	207	26	26	NUM
ap-1392	111	208	−1.588	−1.588	NOUN
ap-1392	111	209	071	071	NUM
ap-1392	111	210	022	022	NUM
ap-1392	111	211	611	611	NUM
ap-1392	111	212	375	375	NUM
ap-1392	111	213	32	32	NUM
ap-1392	111	214	27	27	NUM
ap-1392	111	215	−1.588	−1.588	NOUN
ap-1392	111	216	071	071	NUM
ap-1392	111	217	022	022	NUM
ap-1392	111	218	611	611	NUM
ap-1392	111	219	375	375	NUM
ap-1392	111	220	315	315	NUM
ap-1392	111	221	4	4	NUM
ap-1392	111	222	28	28	NUM
ap-1392	111	223	−1.588	−1.588	NOUN
ap-1392	111	224	071	071	NUM
ap-1392	111	225	022	022	NUM
ap-1392	111	226	611	611	NUM
ap-1392	111	227	375	375	NUM
ap-1392	111	228	315	315	NUM
ap-1392	111	229	2	2	NUM
ap-1392	111	230	29	29	NUM
ap-1392	111	231	−1.588	−1.588	NOUN
ap-1392	111	232	071	071	NUM
ap-1392	111	233	022	022	NUM
ap-1392	111	234	611	611	NUM
ap-1392	111	235	375	375	NUM
ap-1392	111	236	315	315	NUM
ap-1392	111	237	4	4	NUM
ap-1392	111	238	30	30	NUM
ap-1392	111	239	−1.588	−1.588	NOUN
ap-1392	111	240	071	071	NUM
ap-1392	111	241	022	022	NUM
ap-1392	111	242	611	611	NUM
ap-1392	111	243	375	375	NUM
ap-1392	111	244	313	313	NUM
ap-1392	111	245	7	7	NUM
ap-1392	111	246	on	on	ADP
ap-1392	111	247	the	the	DET
ap-1392	111	248	half	half	ADJ
ap-1392	111	249	line	line	NOUN
ap-1392	111	250	:	:	PUNCT
ap-1392	111	251	y′′(x)−x2y(x	y′′(x)−x2y(x	X
ap-1392	111	252	)	)	PUNCT
ap-1392	111	253	=	=	SYM
ap-1392	111	254	0	0	NUM
ap-1392	111	255	,	,	PUNCT
ap-1392	111	256	and	and	CCONJ
ap-1392	111	257	the	the	DET
ap-1392	111	258	problem	problem	NOUN
ap-1392	111	259	solved	solve	VERB
ap-1392	111	260	above	above	ADV
ap-1392	111	261	is	be	AUX
ap-1392	111	262	equivalent	equivalent	ADJ
ap-1392	111	263	to	to	ADP
ap-1392	111	264	finding	find	VERB
ap-1392	111	265	the	the	DET
ap-1392	111	266	logarithmic	logarithmic	ADJ
ap-1392	111	267	derivative	derivative	NOUN
ap-1392	111	268	at	at	ADP
ap-1392	111	269	origin	origin	NOUN
ap-1392	111	270	y′(0)/y(0	y′(0)/y(0	PROPN
ap-1392	111	271	)	)	PUNCT
ap-1392	111	272	so	so	SCONJ
ap-1392	111	273	that	that	SCONJ
ap-1392	111	274	y(x	y(x	NOUN
ap-1392	111	275	)	)	PUNCT
ap-1392	111	276	behaves	behave	VERB
ap-1392	111	277	as	as	ADP
ap-1392	111	278	exp(−x2/2	exp(−x2/2	ADJ
ap-1392	111	279	)	)	PUNCT
ap-1392	111	280	at	at	ADP
ap-1392	111	281	infinity	infinity	NOUN
ap-1392	111	282	.	.	PUNCT
ap-1392	112	1	obviously	obviously	ADV
ap-1392	112	2	,	,	PUNCT
ap-1392	112	3	any	any	DET
ap-1392	112	4	approach	approach	NOUN
ap-1392	112	5	for	for	ADP
ap-1392	112	6	linear	linear	PROPN
ap-1392	112	7	differential	differential	ADJ
ap-1392	112	8	equations	equation	NOUN
ap-1392	112	9	is	be	AUX
ap-1392	112	10	suitable	suitable	ADJ
ap-1392	112	11	for	for	ADP
ap-1392	112	12	this	this	DET
ap-1392	112	13	problem	problem	NOUN
ap-1392	112	14	.	.	PUNCT
ap-1392	113	1	finally	finally	ADV
ap-1392	113	2	,	,	PUNCT
ap-1392	113	3	we	we	PRON
ap-1392	113	4	consider	consider	VERB
ap-1392	113	5	two	two	NUM
ap-1392	113	6	examples	example	NOUN
ap-1392	113	7	discussed	discuss	VERB
ap-1392	113	8	by	by	ADP
ap-1392	113	9	bender	bender	PROPN
ap-1392	113	10	et	et	PROPN
ap-1392	113	11	al	al	PROPN
ap-1392	114	1	[	[	X
ap-1392	114	2	12	12	NUM
ap-1392	114	3	]	]	X
ap-1392	114	4	;	;	PUNCT
ap-1392	114	5	the	the	DET
ap-1392	114	6	first	first	ADJ
ap-1392	114	7	of	of	ADP
ap-1392	114	8	them	they	PRON
ap-1392	114	9	is	be	AUX
ap-1392	114	10	the	the	DET
ap-1392	114	11	instanton	instanton	PROPN
ap-1392	114	12	equation	equation	NOUN
ap-1392	114	13	f	f	PROPN
ap-1392	114	14	′′(x	′′(x	PROPN
ap-1392	114	15	)	)	PUNCT
ap-1392	114	16	+	+	CCONJ
ap-1392	114	17	f(x	f(x	PROPN
ap-1392	114	18	)	)	PUNCT
ap-1392	114	19	−	−	PROPN
ap-1392	115	1	f(x)3	f(x)3	PROPN
ap-1392	115	2	=	=	SYM
ap-1392	115	3	0	0	NUM
ap-1392	115	4	(	(	PUNCT
ap-1392	115	5	11	11	NUM
ap-1392	115	6	)	)	PUNCT
ap-1392	115	7	with	with	ADP
ap-1392	115	8	the	the	DET
ap-1392	115	9	boundary	boundary	ADJ
ap-1392	115	10	conditions	condition	NOUN
ap-1392	115	11	f(0	f(0	NOUN
ap-1392	115	12	)	)	PUNCT
ap-1392	115	13	=	=	SYM
ap-1392	115	14	0	0	NUM
ap-1392	115	15	,	,	PUNCT
ap-1392	115	16	f(∞	f(∞	NOUN
ap-1392	115	17	)	)	PUNCT
ap-1392	115	18	=	=	SYM
ap-1392	116	1	1	1	X
ap-1392	116	2	.	.	PUNCT
ap-1392	117	1	the	the	DET
ap-1392	117	2	solution	solution	NOUN
ap-1392	117	3	to	to	ADP
ap-1392	117	4	this	this	DET
ap-1392	117	5	equation	equation	NOUN
ap-1392	117	6	is	be	AUX
ap-1392	117	7	f(x	f(x	PROPN
ap-1392	117	8	)	)	PUNCT
ap-1392	118	1	=	=	SYM
ap-1392	118	2	tanh	tanh	PROPN
ap-1392	118	3	(	(	PUNCT
ap-1392	118	4	x/	x/	NOUN
ap-1392	118	5	√	√	NUM
ap-1392	118	6	2	2	NUM
ap-1392	118	7	)	)	PUNCT
ap-1392	118	8	.	.	PUNCT
ap-1392	119	1	the	the	DET
ap-1392	119	2	expansion	expansion	NOUN
ap-1392	119	3	of	of	ADP
ap-1392	119	4	f(x	f(x	PROPN
ap-1392	119	5	)	)	PUNCT
ap-1392	119	6	is	be	AUX
ap-1392	119	7	a	a	DET
ap-1392	119	8	particular	particular	ADJ
ap-1392	119	9	case	case	NOUN
ap-1392	119	10	of	of	ADP
ap-1392	119	11	equation	equation	NOUN
ap-1392	119	12	(	(	PUNCT
ap-1392	119	13	1	1	NUM
ap-1392	119	14	)	)	PUNCT
ap-1392	119	15	with	with	ADP
ap-1392	119	16	α	α	NOUN
ap-1392	119	17	=	=	SYM
ap-1392	119	18	1	1	NUM
ap-1392	119	19	and	and	CCONJ
ap-1392	119	20	β	β	X
ap-1392	119	21	=	=	SYM
ap-1392	119	22	2	2	NUM
ap-1392	119	23	;	;	PUNCT
ap-1392	119	24	its	its	PRON
ap-1392	119	25	first	first	ADJ
ap-1392	119	26	coefficients	coefficient	NOUN
ap-1392	119	27	being	be	AUX
ap-1392	119	28	f1	f1	NOUN
ap-1392	119	29	=	=	SYM
ap-1392	119	30	−f0	−f0	PROPN
ap-1392	119	31	6	6	NUM
ap-1392	119	32	,	,	PUNCT
ap-1392	119	33	f0	f0	PROPN
ap-1392	119	34	(	(	PUNCT
ap-1392	119	35	6f20	6f20	NOUN
ap-1392	119	36	+	+	CCONJ
ap-1392	119	37	1	1	NUM
ap-1392	119	38	)	)	PUNCT
ap-1392	119	39	120	120	NUM
ap-1392	119	40	,	,	PUNCT
ap-1392	119	41	f3	f3	PROPN
ap-1392	119	42	=	=	SYM
ap-1392	119	43	−	−	PROPN
ap-1392	119	44	f0	f0	PROPN
ap-1392	119	45	(	(	PUNCT
ap-1392	119	46	66f20	66f20	NOUN
ap-1392	119	47	+	+	CCONJ
ap-1392	119	48	1	1	NUM
ap-1392	119	49	)	)	PUNCT
ap-1392	119	50	5	5	NUM
ap-1392	119	51	040	040	NUM
ap-1392	119	52	,	,	PUNCT
ap-1392	119	53	.	.	PUNCT
ap-1392	119	54	.	.	PUNCT
ap-1392	120	1	.	.	PUNCT
ap-1392	121	1	,	,	PUNCT
ap-1392	121	2	(	(	PUNCT
ap-1392	121	3	12	12	NUM
ap-1392	121	4	)	)	PUNCT
ap-1392	121	5	where	where	SCONJ
ap-1392	121	6	f0	f0	PROPN
ap-1392	121	7	=	=	SYM
ap-1392	121	8	f	f	PROPN
ap-1392	121	9	′(0	′(0	PROPN
ap-1392	121	10	)	)	PUNCT
ap-1392	121	11	is	be	AUX
ap-1392	121	12	the	the	DET
ap-1392	121	13	unknown	unknown	ADJ
ap-1392	121	14	.	.	PUNCT
ap-1392	122	1	the	the	DET
ap-1392	122	2	hankel	hankel	NOUN
ap-1392	122	3	series	series	NOUN
ap-1392	122	4	with	with	ADP
ap-1392	122	5	d	d	PROPN
ap-1392	122	6	=	=	SYM
ap-1392	122	7	0	0	NUM
ap-1392	122	8	and	and	CCONJ
ap-1392	122	9	d	d	NOUN
ap-1392	122	10	=	=	SYM
ap-1392	122	11	1	1	NUM
ap-1392	122	12	converge	converge	VERB
ap-1392	122	13	rapidly	rapidly	ADV
ap-1392	122	14	giving	give	VERB
ap-1392	122	15	upper	upper	ADJ
ap-1392	122	16	and	and	CCONJ
ap-1392	122	17	lower	low	ADJ
ap-1392	122	18	bounds	bound	NOUN
ap-1392	122	19	,	,	PUNCT
ap-1392	122	20	respectively	respectively	ADV
ap-1392	122	21	,	,	PUNCT
ap-1392	122	22	to	to	ADP
ap-1392	122	23	the	the	DET
ap-1392	122	24	exact	exact	ADJ
ap-1392	122	25	result	result	NOUN
ap-1392	122	26	f0	f0	PROPN
ap-1392	122	27	=	=	SYM
ap-1392	122	28	1/	1/	NUM
ap-1392	122	29	√	√	NUM
ap-1392	122	30	2	2	NUM
ap-1392	122	31	.	.	PUNCT
ap-1392	123	1	the	the	DET
ap-1392	123	2	second	second	ADJ
ap-1392	123	3	example	example	NOUN
ap-1392	123	4	is	be	AUX
ap-1392	123	5	the	the	DET
ap-1392	123	6	well	well	ADV
ap-1392	123	7	known	know	VERB
ap-1392	123	8	blasius	blasius	ADJ
ap-1392	123	9	equation	equation	NOUN
ap-1392	123	10	[	[	X
ap-1392	123	11	12	12	NUM
ap-1392	123	12	]	]	SYM
ap-1392	123	13	2y′′′(x	2y′′′(x	NUM
ap-1392	123	14	)	)	PUNCT
ap-1392	123	15	+	+	NUM
ap-1392	123	16	y(x)y′′(x	y(x)y′′(x	NOUN
ap-1392	123	17	)	)	PUNCT
ap-1392	124	1	=	=	SYM
ap-1392	124	2	0	0	NUM
ap-1392	125	1	(	(	PUNCT
ap-1392	125	2	13	13	NUM
ap-1392	125	3	)	)	PUNCT
ap-1392	125	4	with	with	ADP
ap-1392	125	5	the	the	DET
ap-1392	125	6	boundary	boundary	ADJ
ap-1392	125	7	conditions	condition	NOUN
ap-1392	125	8	y(0	y(0	PROPN
ap-1392	125	9	)	)	PUNCT
ap-1392	125	10	=	=	SYM
ap-1392	125	11	y′(0	y′(0	NOUN
ap-1392	125	12	)	)	PUNCT
ap-1392	125	13	=	=	SYM
ap-1392	125	14	0	0	NUM
ap-1392	125	15	,	,	PUNCT
ap-1392	125	16	y′(∞	y′(∞	ADJ
ap-1392	125	17	)	)	PUNCT
ap-1392	125	18	=	=	SYM
ap-1392	126	1	1	1	X
ap-1392	126	2	.	.	PUNCT
ap-1392	126	3	the	the	DET
ap-1392	126	4	expansion	expansion	NOUN
ap-1392	126	5	of	of	ADP
ap-1392	126	6	the	the	DET
ap-1392	126	7	solution	solution	NOUN
ap-1392	126	8	in	in	ADP
ap-1392	126	9	a	a	DET
ap-1392	126	10	taylor	taylor	PROPN
ap-1392	126	11	series	series	NOUN
ap-1392	126	12	about	about	ADP
ap-1392	126	13	x	x	PUNCT
ap-1392	126	14	=	=	SYM
ap-1392	126	15	0	0	NUM
ap-1392	126	16	is	be	AUX
ap-1392	126	17	a	a	DET
ap-1392	126	18	particular	particular	ADJ
ap-1392	126	19	case	case	NOUN
ap-1392	126	20	of	of	ADP
ap-1392	126	21	equation	equation	NOUN
ap-1392	126	22	(	(	PUNCT
ap-1392	126	23	1	1	NUM
ap-1392	126	24	)	)	PUNCT
ap-1392	126	25	with	with	ADP
ap-1392	126	26	α	α	NOUN
ap-1392	126	27	=	=	SYM
ap-1392	126	28	2	2	NUM
ap-1392	126	29	and	and	CCONJ
ap-1392	126	30	β	β	X
ap-1392	126	31	=	=	SYM
ap-1392	126	32	3	3	NUM
ap-1392	126	33	;	;	PUNCT
ap-1392	126	34	its	its	PRON
ap-1392	126	35	first	first	ADJ
ap-1392	126	36	coefficients	coefficient	NOUN
ap-1392	126	37	are	be	AUX
ap-1392	126	38	f1	f1	NOUN
ap-1392	126	39	=	=	SYM
ap-1392	126	40	−f20	−f20	ADP
ap-1392	126	41	60	60	NUM
ap-1392	126	42	,	,	PUNCT
ap-1392	126	43	f2	f2	ADJ
ap-1392	126	44	=	=	SYM
ap-1392	126	45	11f30	11f30	NUM
ap-1392	126	46	20160	20160	NUM
ap-1392	126	47	,	,	PUNCT
ap-1392	126	48	.	.	PUNCT
ap-1392	126	49	.	.	PUNCT
ap-1392	126	50	.	.	PUNCT
ap-1392	127	1	(	(	PUNCT
ap-1392	127	2	14	14	NUM
ap-1392	127	3	)	)	PUNCT
ap-1392	127	4	since	since	SCONJ
ap-1392	127	5	,	,	PUNCT
ap-1392	127	6	in	in	ADP
ap-1392	127	7	general	general	ADJ
ap-1392	127	8	,	,	PUNCT
ap-1392	127	9	fj	fj	PROPN
ap-1392	127	10	∝	∝	PROPN
ap-1392	127	11	f	f	PROPN
ap-1392	128	1	j+1	j+1	ADV
ap-1392	128	2	0	0	NUM
ap-1392	128	3	,	,	PUNCT
ap-1392	128	4	then	then	ADV
ap-1392	128	5	the	the	DET
ap-1392	128	6	only	only	ADJ
ap-1392	128	7	root	root	NOUN
ap-1392	128	8	of	of	ADP
ap-1392	128	9	the	the	DET
ap-1392	128	10	hankel	hankel	NOUN
ap-1392	128	11	determinants	determinant	NOUN
ap-1392	128	12	is	be	AUX
ap-1392	128	13	f0	f0	PROPN
ap-1392	128	14	=	=	SYM
ap-1392	128	15	0	0	NUM
ap-1392	128	16	,	,	PUNCT
ap-1392	128	17	which	which	PRON
ap-1392	128	18	leads	lead	VERB
ap-1392	128	19	to	to	ADP
ap-1392	128	20	the	the	DET
ap-1392	128	21	trivial	trivial	ADJ
ap-1392	128	22	solution	solution	NOUN
ap-1392	128	23	y(x	y(x	NOUN
ap-1392	128	24	)	)	PUNCT
ap-1392	128	25	≡	≡	PROPN
ap-1392	128	26	0	0	NUM
ap-1392	128	27	.	.	PUNCT
ap-1392	129	1	we	we	PRON
ap-1392	129	2	thus	thus	ADV
ap-1392	129	3	see	see	VERB
ap-1392	129	4	another	another	DET
ap-1392	129	5	case	case	NOUN
ap-1392	129	6	where	where	SCONJ
ap-1392	129	7	the	the	DET
ap-1392	129	8	padé-hankel	padé-hankel	NOUN
ap-1392	129	9	method	method	NOUN
ap-1392	129	10	does	do	AUX
ap-1392	129	11	not	not	PART
ap-1392	129	12	apply	apply	VERB
ap-1392	129	13	.	.	PUNCT
ap-1392	130	1	4	4	NUM
ap-1392	130	2	conclusions	conclusion	NOUN
ap-1392	130	3	we	we	PRON
ap-1392	130	4	have	have	AUX
ap-1392	130	5	presented	present	VERB
ap-1392	130	6	a	a	DET
ap-1392	130	7	simple	simple	ADJ
ap-1392	130	8	method	method	NOUN
ap-1392	130	9	for	for	ADP
ap-1392	130	10	the	the	DET
ap-1392	130	11	treatment	treatment	NOUN
ap-1392	130	12	of	of	ADP
ap-1392	130	13	two	two	NUM
ap-1392	130	14	-	-	PUNCT
ap-1392	130	15	point	point	NOUN
ap-1392	130	16	boundary	boundary	ADJ
ap-1392	130	17	value	value	NOUN
ap-1392	130	18	problems	problem	NOUN
ap-1392	130	19	.	.	PUNCT
ap-1392	131	1	if	if	SCONJ
ap-1392	131	2	there	there	PRON
ap-1392	131	3	is	be	VERB
ap-1392	131	4	a	a	DET
ap-1392	131	5	suitable	suitable	ADJ
ap-1392	131	6	series	series	NOUN
ap-1392	131	7	for	for	ADP
ap-1392	131	8	the	the	DET
ap-1392	131	9	solution	solution	NOUN
ap-1392	131	10	about	about	ADP
ap-1392	131	11	one	one	NUM
ap-1392	131	12	point	point	NOUN
ap-1392	131	13	,	,	PUNCT
ap-1392	131	14	we	we	PRON
ap-1392	131	15	construct	construct	VERB
ap-1392	131	16	a	a	DET
ap-1392	131	17	hankel	hankel	NOUN
ap-1392	131	18	matrix	matrix	NOUN
ap-1392	131	19	with	with	ADP
ap-1392	131	20	the	the	DET
ap-1392	131	21	expansion	expansion	NOUN
ap-1392	131	22	coefficients	coefficient	NOUN
ap-1392	131	23	and	and	CCONJ
ap-1392	131	24	obtain	obtain	VERB
ap-1392	131	25	the	the	DET
ap-1392	131	26	physical	physical	ADJ
ap-1392	131	27	value	value	NOUN
ap-1392	131	28	of	of	ADP
ap-1392	131	29	the	the	DET
ap-1392	131	30	undetermined	undetermined	ADJ
ap-1392	131	31	coefficient	coefficient	NOUN
ap-1392	131	32	from	from	ADP
ap-1392	131	33	the	the	DET
ap-1392	131	34	roots	root	NOUN
ap-1392	131	35	of	of	ADP
ap-1392	131	36	a	a	DET
ap-1392	131	37	sequence	sequence	NOUN
ap-1392	131	38	of	of	ADP
ap-1392	131	39	determinants	determinant	NOUN
ap-1392	131	40	.	.	PUNCT
ap-1392	132	1	the	the	DET
ap-1392	132	2	value	value	NOUN
ap-1392	132	3	of	of	ADP
ap-1392	132	4	this	this	DET
ap-1392	132	5	coefficient	coefficient	NOUN
ap-1392	132	6	given	give	VERB
ap-1392	132	7	by	by	ADP
ap-1392	132	8	a	a	DET
ap-1392	132	9	convergent	convergent	NOUN
ap-1392	132	10	hankel	hankel	NOUN
ap-1392	132	11	sequence	sequence	NOUN
ap-1392	132	12	is	be	AUX
ap-1392	132	13	exactly	exactly	ADV
ap-1392	132	14	the	the	DET
ap-1392	132	15	one	one	NOUN
ap-1392	132	16	that	that	PRON
ap-1392	132	17	produces	produce	VERB
ap-1392	132	18	the	the	DET
ap-1392	132	19	correct	correct	ADJ
ap-1392	132	20	asymptotic	asymptotic	ADJ
ap-1392	132	21	behaviour	behaviour	NOUN
ap-1392	132	22	at	at	ADP
ap-1392	132	23	the	the	DET
ap-1392	132	24	other	other	ADJ
ap-1392	132	25	point	point	NOUN
ap-1392	132	26	.	.	PUNCT
ap-1392	133	1	we	we	PRON
ap-1392	133	2	can	can	AUX
ap-1392	133	3	not	not	PART
ap-1392	133	4	prove	prove	VERB
ap-1392	133	5	this	this	DET
ap-1392	133	6	assumption	assumption	NOUN
ap-1392	133	7	rigorously	rigorously	ADV
ap-1392	133	8	,	,	PUNCT
ap-1392	133	9	but	but	CCONJ
ap-1392	133	10	it	it	PRON
ap-1392	133	11	seems	seem	VERB
ap-1392	133	12	that	that	SCONJ
ap-1392	133	13	if	if	SCONJ
ap-1392	133	14	there	there	PRON
ap-1392	133	15	is	be	VERB
ap-1392	133	16	a	a	DET
ap-1392	133	17	convergent	convergent	NOUN
ap-1392	133	18	sequence	sequence	NOUN
ap-1392	133	19	,	,	PUNCT
ap-1392	133	20	it	it	PRON
ap-1392	133	21	yields	yield	VERB
ap-1392	133	22	the	the	DET
ap-1392	133	23	correct	correct	ADJ
ap-1392	133	24	answer	answer	NOUN
ap-1392	133	25	.	.	PUNCT
ap-1392	134	1	moreover	moreover	ADV
ap-1392	134	2	,	,	PUNCT
ap-1392	134	3	in	in	ADP
ap-1392	134	4	some	some	DET
ap-1392	134	5	cases	case	NOUN
ap-1392	134	6	the	the	DET
ap-1392	134	7	hankel	hankel	NOUN
ap-1392	134	8	sequences	sequence	NOUN
ap-1392	134	9	produce	produce	VERB
ap-1392	134	10	upper	upper	ADJ
ap-1392	134	11	and	and	CCONJ
ap-1392	134	12	lower	low	ADJ
ap-1392	134	13	bounds	bound	NOUN
ap-1392	134	14	bracketing	bracket	VERB
ap-1392	134	15	the	the	DET
ap-1392	134	16	exact	exact	ADJ
ap-1392	134	17	result	result	NOUN
ap-1392	134	18	tightly	tightly	ADV
ap-1392	134	19	.	.	PUNCT
ap-1392	135	1	12	12	NUM
ap-1392	135	2	acta	acta	PROPN
ap-1392	135	3	polytechnica	polytechnica	PROPN
ap-1392	135	4	vol	vol	NOUN
ap-1392	135	5	.	.	PUNCT
ap-1392	136	1	51	51	NUM
ap-1392	136	2	no	no	INTJ
ap-1392	136	3	.	.	PUNCT
ap-1392	137	1	4/2011	4/2011	NUM
ap-1392	138	1	the	the	DET
ap-1392	138	2	present	present	ADJ
ap-1392	138	3	padé-hankel	padé-hankel	NOUN
ap-1392	138	4	approach	approach	NOUN
ap-1392	138	5	is	be	AUX
ap-1392	138	6	not	not	PART
ap-1392	138	7	as	as	ADV
ap-1392	138	8	general	general	ADJ
ap-1392	138	9	as	as	ADP
ap-1392	138	10	the	the	DET
ap-1392	138	11	one	one	NOUN
ap-1392	138	12	proposed	propose	VERB
ap-1392	138	13	by	by	ADP
ap-1392	138	14	boisseau	boisseau	NOUN
ap-1392	138	15	et	et	PROPN
ap-1392	138	16	al	al	PROPN
ap-1392	139	1	[	[	X
ap-1392	139	2	10	10	NUM
ap-1392	139	3	]	]	PUNCT
ap-1392	139	4	,	,	PUNCT
ap-1392	139	5	as	as	SCONJ
ap-1392	139	6	we	we	PRON
ap-1392	139	7	have	have	AUX
ap-1392	139	8	already	already	ADV
ap-1392	139	9	seen	see	VERB
ap-1392	139	10	that	that	SCONJ
ap-1392	139	11	the	the	DET
ap-1392	139	12	former	former	NOUN
ap-1392	139	13	does	do	AUX
ap-1392	139	14	not	not	PART
ap-1392	139	15	apparently	apparently	ADV
ap-1392	139	16	apply	apply	VERB
ap-1392	139	17	to	to	ADP
ap-1392	139	18	the	the	DET
ap-1392	139	19	skyrmion	skyrmion	NOUN
ap-1392	139	20	problem	problem	NOUN
ap-1392	139	21	or	or	CCONJ
ap-1392	139	22	to	to	ADP
ap-1392	139	23	the	the	DET
ap-1392	139	24	blasius	blasius	ADJ
ap-1392	139	25	equation	equation	NOUN
ap-1392	139	26	[	[	X
ap-1392	139	27	12	12	NUM
ap-1392	139	28	]	]	PUNCT
ap-1392	139	29	.	.	PUNCT
ap-1392	140	1	however	however	ADV
ap-1392	140	2	,	,	PUNCT
ap-1392	140	3	our	our	PRON
ap-1392	140	4	procedure	procedure	NOUN
ap-1392	140	5	is	be	AUX
ap-1392	140	6	much	much	ADV
ap-1392	140	7	simpler	simple	ADJ
ap-1392	140	8	and	and	CCONJ
ap-1392	140	9	more	more	ADV
ap-1392	140	10	straightforward	straightforward	ADJ
ap-1392	140	11	and	and	CCONJ
ap-1392	140	12	may	may	AUX
ap-1392	140	13	be	be	AUX
ap-1392	140	14	a	a	DET
ap-1392	140	15	suitable	suitable	ADJ
ap-1392	140	16	alternative	alternative	NOUN
ap-1392	140	17	for	for	ADP
ap-1392	140	18	treating	treat	VERB
ap-1392	140	19	problems	problem	NOUN
ap-1392	140	20	of	of	ADP
ap-1392	140	21	this	this	DET
ap-1392	140	22	kind	kind	NOUN
ap-1392	140	23	.	.	PUNCT
ap-1392	141	1	besides	besides	SCONJ
ap-1392	141	2	,	,	PUNCT
ap-1392	141	3	if	if	SCONJ
ap-1392	141	4	our	our	PRON
ap-1392	141	5	approach	approach	NOUN
ap-1392	141	6	converges	converge	VERB
ap-1392	141	7	,	,	PUNCT
ap-1392	141	8	it	it	PRON
ap-1392	141	9	yields	yield	VERB
ap-1392	141	10	remarkably	remarkably	ADV
ap-1392	141	11	accurate	accurate	ADJ
ap-1392	141	12	results	result	NOUN
ap-1392	141	13	,	,	PUNCT
ap-1392	141	14	as	as	SCONJ
ap-1392	141	15	shown	show	VERB
ap-1392	141	16	in	in	ADP
ap-1392	141	17	the	the	DET
ap-1392	141	18	examples	example	NOUN
ap-1392	141	19	above	above	ADV
ap-1392	141	20	.	.	PUNCT
ap-1392	142	1	references	reference	NOUN
ap-1392	142	2	[	[	X
ap-1392	142	3	1	1	NUM
ap-1392	142	4	]	]	X
ap-1392	142	5	fernández	fernández	PROPN
ap-1392	142	6	,	,	PUNCT
ap-1392	142	7	f.	f.	PROPN
ap-1392	142	8	m.	m.	PROPN
ap-1392	142	9	,	,	PUNCT
ap-1392	142	10	ma	ma	PROPN
ap-1392	142	11	,	,	PUNCT
ap-1392	142	12	q.	q.	PROPN
ap-1392	142	13	,	,	PUNCT
ap-1392	142	14	tipping	tipping	NOUN
ap-1392	142	15	,	,	PUNCT
ap-1392	142	16	r.	r.	PROPN
ap-1392	142	17	h.	h.	PROPN
ap-1392	142	18	:	:	PUNCT
ap-1392	142	19	tight	tight	ADJ
ap-1392	142	20	upper	upper	ADJ
ap-1392	142	21	and	and	CCONJ
ap-1392	142	22	lower	low	ADJ
ap-1392	142	23	bounds	bound	NOUN
ap-1392	142	24	for	for	ADP
ap-1392	142	25	energy	energy	NOUN
ap-1392	142	26	eigenvalues	eigenvalue	NOUN
ap-1392	142	27	of	of	ADP
ap-1392	142	28	the	the	DET
ap-1392	142	29	schrödinger	schrödinger	NOUN
ap-1392	142	30	equation	equation	NOUN
ap-1392	142	31	.	.	PUNCT
ap-1392	143	1	phys	phy	NOUN
ap-1392	143	2	.	.	PUNCT
ap-1392	144	1	rev	rev	PROPN
ap-1392	144	2	.	.	PROPN
ap-1392	145	1	a	a	PRON
ap-1392	145	2	,	,	PUNCT
ap-1392	145	3	39	39	NUM
ap-1392	145	4	(	(	PUNCT
ap-1392	145	5	4	4	NUM
ap-1392	145	6	)	)	PUNCT
ap-1392	145	7	,	,	PUNCT
ap-1392	145	8	1989	1989	NUM
ap-1392	145	9	,	,	PUNCT
ap-1392	145	10	p.	p.	NOUN
ap-1392	145	11	1	1	NUM
ap-1392	145	12	605–1609	605–1609	NUM
ap-1392	145	13	.	.	PUNCT
ap-1392	146	1	[	[	X
ap-1392	146	2	2	2	NUM
ap-1392	146	3	]	]	SYM
ap-1392	146	4	fernández	fernández	PROPN
ap-1392	146	5	,	,	PUNCT
ap-1392	146	6	f.	f.	PROPN
ap-1392	146	7	m.	m.	PROPN
ap-1392	146	8	:	:	PUNCT
ap-1392	146	9	strong	strong	ADJ
ap-1392	146	10	coupling	couple	VERB
ap-1392	146	11	expansion	expansion	NOUN
ap-1392	146	12	for	for	ADP
ap-1392	146	13	anharmonic	anharmonic	ADJ
ap-1392	146	14	oscillators	oscillator	NOUN
ap-1392	146	15	and	and	CCONJ
ap-1392	146	16	perturbed	perturb	VERB
ap-1392	146	17	coulomb	coulomb	NOUN
ap-1392	146	18	potentials	potential	NOUN
ap-1392	146	19	.	.	PUNCT
ap-1392	147	1	phys	phy	NOUN
ap-1392	147	2	.	.	PUNCT
ap-1392	148	1	lett	lett	PROPN
ap-1392	148	2	.	.	PUNCT
ap-1392	149	1	a	a	DET
ap-1392	149	2	,	,	PUNCT
ap-1392	149	3	166	166	NUM
ap-1392	149	4	1992	1992	NUM
ap-1392	149	5	,	,	PUNCT
ap-1392	149	6	p.	p.	NOUN
ap-1392	149	7	173–176	173–176	NUM
ap-1392	149	8	.	.	PUNCT
ap-1392	150	1	[	[	X
ap-1392	150	2	3	3	NUM
ap-1392	150	3	]	]	X
ap-1392	150	4	fernández	fernández	PROPN
ap-1392	150	5	,	,	PUNCT
ap-1392	150	6	f.	f.	PROPN
ap-1392	150	7	m.	m.	PROPN
ap-1392	150	8	,	,	PUNCT
ap-1392	150	9	guardiola	guardiola	PROPN
ap-1392	150	10	,	,	PUNCT
ap-1392	150	11	r.	r.	PROPN
ap-1392	150	12	:	:	PUNCT
ap-1392	150	13	accurate	accurate	PROPN
ap-1392	150	14	eigenvalues	eigenvalue	NOUN
ap-1392	150	15	and	and	CCONJ
ap-1392	150	16	eigenfunctions	eigenfunction	NOUN
ap-1392	150	17	for	for	ADP
ap-1392	150	18	quantummechanical	quantummechanical	ADJ
ap-1392	150	19	anharmonic	anharmonic	ADJ
ap-1392	150	20	oscillators	oscillator	NOUN
ap-1392	150	21	.	.	PUNCT
ap-1392	151	1	j.	j.	PROPN
ap-1392	151	2	phys	phys	PROPN
ap-1392	151	3	.	.	PUNCT
ap-1392	152	1	a	a	DET
ap-1392	152	2	,	,	PUNCT
ap-1392	152	3	26	26	NUM
ap-1392	152	4	1993	1993	NUM
ap-1392	152	5	,	,	PUNCT
ap-1392	153	1	p.	p.	NOUN
ap-1392	153	2	7	7	NUM
ap-1392	153	3	169–7	169–7	NUM
ap-1392	153	4	180	180	NUM
ap-1392	153	5	.	.	PUNCT
ap-1392	154	1	[	[	X
ap-1392	154	2	4	4	NUM
ap-1392	154	3	]	]	X
ap-1392	154	4	fernández	fernández	PROPN
ap-1392	154	5	,	,	PUNCT
ap-1392	154	6	f.	f.	PROPN
ap-1392	154	7	m.	m.	PROPN
ap-1392	154	8	:	:	PUNCT
ap-1392	154	9	resonances	resonance	NOUN
ap-1392	154	10	for	for	ADP
ap-1392	154	11	a	a	DET
ap-1392	154	12	perturbed	perturb	VERB
ap-1392	154	13	coulomb	coulomb	NOUN
ap-1392	154	14	potential	potential	NOUN
ap-1392	154	15	.	.	PUNCT
ap-1392	155	1	phys	phy	NOUN
ap-1392	155	2	.	.	PUNCT
ap-1392	156	1	lett	lett	PROPN
ap-1392	156	2	.	.	PUNCT
ap-1392	157	1	a	a	DET
ap-1392	157	2	,	,	PUNCT
ap-1392	157	3	203	203	NUM
ap-1392	157	4	1995	1995	NUM
ap-1392	157	5	,	,	PUNCT
ap-1392	157	6	p.	p.	NOUN
ap-1392	157	7	275–278	275–278	NUM
ap-1392	157	8	.	.	PUNCT
ap-1392	158	1	[	[	X
ap-1392	158	2	5	5	NUM
ap-1392	158	3	]	]	SYM
ap-1392	158	4	fernández	fernández	PROPN
ap-1392	158	5	,	,	PUNCT
ap-1392	158	6	f.	f.	PROPN
ap-1392	158	7	m.	m.	PROPN
ap-1392	158	8	:	:	PUNCT
ap-1392	158	9	direct	direct	ADJ
ap-1392	158	10	calculation	calculation	NOUN
ap-1392	158	11	of	of	ADP
ap-1392	158	12	accurate	accurate	ADJ
ap-1392	158	13	siegert	siegert	PROPN
ap-1392	158	14	eigenvalues	eigenvalues	PROPN
ap-1392	158	15	.	.	PUNCT
ap-1392	159	1	j.	j.	PROPN
ap-1392	159	2	phys	phys	PROPN
ap-1392	159	3	.	.	PUNCT
ap-1392	160	1	a	a	DET
ap-1392	160	2	,	,	PUNCT
ap-1392	160	3	28	28	NUM
ap-1392	160	4	1995	1995	NUM
ap-1392	160	5	,	,	PUNCT
ap-1392	160	6	p.	p.	NOUN
ap-1392	160	7	4	4	NUM
ap-1392	160	8	043–4	043–4	NUM
ap-1392	160	9	051	051	NUM
ap-1392	160	10	.	.	PUNCT
ap-1392	161	1	[	[	X
ap-1392	161	2	6	6	NUM
ap-1392	161	3	]	]	SYM
ap-1392	161	4	fernández	fernández	PROPN
ap-1392	161	5	,	,	PUNCT
ap-1392	161	6	f.	f.	PROPN
ap-1392	161	7	m.	m.	PROPN
ap-1392	161	8	:	:	PUNCT
ap-1392	161	9	alternative	alternative	ADJ
ap-1392	161	10	treatment	treatment	NOUN
ap-1392	161	11	of	of	ADP
ap-1392	161	12	separable	separable	ADJ
ap-1392	161	13	quantum	quantum	ADJ
ap-1392	161	14	-	-	ADJ
ap-1392	161	15	mechanical	mechanical	ADJ
ap-1392	161	16	models	model	NOUN
ap-1392	161	17	:	:	PUNCT
ap-1392	161	18	the	the	DET
ap-1392	161	19	hydrogen	hydrogen	NOUN
ap-1392	161	20	molecular	molecular	ADJ
ap-1392	161	21	ion	ion	NOUN
ap-1392	161	22	.	.	PUNCT
ap-1392	162	1	j.	j.	PROPN
ap-1392	162	2	chem	chem	PROPN
ap-1392	162	3	.	.	PUNCT
ap-1392	163	1	phys	phy	NOUN
ap-1392	163	2	.	.	PUNCT
ap-1392	163	3	,	,	PUNCT
ap-1392	163	4	103	103	NUM
ap-1392	163	5	(	(	PUNCT
ap-1392	163	6	15	15	NUM
ap-1392	163	7	)	)	PUNCT
ap-1392	163	8	,	,	PUNCT
ap-1392	163	9	1995	1995	NUM
ap-1392	163	10	,	,	PUNCT
ap-1392	163	11	p.	p.	NOUN
ap-1392	163	12	6	6	NUM
ap-1392	163	13	581–6585	581–6585	NUM
ap-1392	163	14	.	.	PUNCT
ap-1392	164	1	[	[	X
ap-1392	164	2	7	7	NUM
ap-1392	164	3	]	]	SYM
ap-1392	164	4	fernández	fernández	PROPN
ap-1392	164	5	,	,	PUNCT
ap-1392	164	6	f.	f.	PROPN
ap-1392	164	7	m.	m.	PROPN
ap-1392	164	8	:	:	PUNCT
ap-1392	164	9	quantization	quantization	NOUN
ap-1392	164	10	condition	condition	NOUN
ap-1392	164	11	for	for	ADP
ap-1392	164	12	bound	bind	VERB
ap-1392	164	13	and	and	CCONJ
ap-1392	164	14	quasibound	quasibound	ADJ
ap-1392	164	15	states	state	NOUN
ap-1392	164	16	.	.	PUNCT
ap-1392	165	1	j.	j.	PROPN
ap-1392	165	2	phys	phys	PROPN
ap-1392	165	3	.	.	PUNCT
ap-1392	166	1	a	a	DET
ap-1392	166	2	,	,	PUNCT
ap-1392	166	3	29	29	NUM
ap-1392	166	4	1996	1996	NUM
ap-1392	166	5	,	,	PUNCT
ap-1392	167	1	p.	p.	NOUN
ap-1392	167	2	3	3	NUM
ap-1392	167	3	167–3	167–3	NUM
ap-1392	167	4	177	177	NUM
ap-1392	167	5	.	.	PUNCT
ap-1392	168	1	[	[	X
ap-1392	168	2	8	8	NUM
ap-1392	168	3	]	]	SYM
ap-1392	168	4	fernández	fernández	PROPN
ap-1392	168	5	,	,	PUNCT
ap-1392	168	6	f.	f.	PROPN
ap-1392	168	7	m.	m.	PROPN
ap-1392	168	8	:	:	PUNCT
ap-1392	168	9	direct	direct	ADJ
ap-1392	168	10	calculation	calculation	NOUN
ap-1392	168	11	of	of	ADP
ap-1392	168	12	stark	stark	ADJ
ap-1392	168	13	resonances	resonance	NOUN
ap-1392	168	14	in	in	ADP
ap-1392	168	15	hydrogen	hydrogen	NOUN
ap-1392	168	16	.	.	PUNCT
ap-1392	169	1	phys	phy	NOUN
ap-1392	169	2	.	.	PUNCT
ap-1392	170	1	rev	rev	PROPN
ap-1392	170	2	.	.	PROPN
ap-1392	171	1	a	a	PRON
ap-1392	171	2	,	,	PUNCT
ap-1392	171	3	54	54	NUM
ap-1392	171	4	(	(	PUNCT
ap-1392	171	5	2	2	NUM
ap-1392	171	6	)	)	PUNCT
ap-1392	171	7	,	,	PUNCT
ap-1392	171	8	1996	1996	NUM
ap-1392	171	9	,	,	PUNCT
ap-1392	171	10	p.	p.	NOUN
ap-1392	171	11	1	1	NUM
ap-1392	171	12	206–1	206–1	NUM
ap-1392	171	13	209	209	NUM
ap-1392	171	14	.	.	PUNCT
ap-1392	172	1	[	[	X
ap-1392	172	2	9	9	NUM
ap-1392	172	3	]	]	SYM
ap-1392	172	4	fernández	fernández	PROPN
ap-1392	172	5	,	,	PUNCT
ap-1392	172	6	f.	f.	PROPN
ap-1392	172	7	m.	m.	PROPN
ap-1392	172	8	:	:	PUNCT
ap-1392	172	9	tunnel	tunnel	VERB
ap-1392	172	10	resonances	resonance	NOUN
ap-1392	172	11	for	for	ADP
ap-1392	172	12	onedimensional	onedimensional	ADJ
ap-1392	172	13	barriers	barrier	NOUN
ap-1392	172	14	.	.	PUNCT
ap-1392	173	1	chem	chem	NOUN
ap-1392	173	2	.	.	PUNCT
ap-1392	174	1	phys	phy	NOUN
ap-1392	174	2	.	.	PUNCT
ap-1392	175	1	lett	lett	PROPN
ap-1392	175	2	,	,	PUNCT
ap-1392	175	3	281	281	NUM
ap-1392	175	4	1997	1997	NUM
ap-1392	175	5	,	,	PUNCT
ap-1392	175	6	p.	p.	NOUN
ap-1392	175	7	337–342	337–342	NUM
ap-1392	175	8	.	.	PUNCT
ap-1392	176	1	[	[	X
ap-1392	176	2	10	10	NUM
ap-1392	176	3	]	]	PUNCT
ap-1392	176	4	boisseau	boisseau	NOUN
ap-1392	176	5	,	,	PUNCT
ap-1392	176	6	b.	b.	PROPN
ap-1392	176	7	,	,	PUNCT
ap-1392	176	8	forgács	forgács	ADV
ap-1392	176	9	,	,	PUNCT
ap-1392	176	10	p.	p.	NOUN
ap-1392	176	11	,	,	PUNCT
ap-1392	176	12	giacomini	giacomini	PROPN
ap-1392	176	13	,	,	PUNCT
ap-1392	176	14	h.	h.	PROPN
ap-1392	176	15	:	:	PUNCT
ap-1392	176	16	an	an	DET
ap-1392	176	17	analytical	analytical	ADJ
ap-1392	176	18	approximation	approximation	NOUN
ap-1392	176	19	scheme	scheme	NOUN
ap-1392	176	20	to	to	ADP
ap-1392	176	21	two	two	NUM
ap-1392	176	22	-	-	PUNCT
ap-1392	176	23	point	point	NOUN
ap-1392	176	24	boundary	boundary	ADJ
ap-1392	176	25	value	value	NOUN
ap-1392	176	26	problems	problem	NOUN
ap-1392	176	27	of	of	ADP
ap-1392	176	28	ordinary	ordinary	ADJ
ap-1392	176	29	differential	differential	ADJ
ap-1392	176	30	equations	equation	NOUN
ap-1392	176	31	.	.	PUNCT
ap-1392	177	1	j.	j.	PROPN
ap-1392	177	2	phys	phys	PROPN
ap-1392	177	3	.	.	PUNCT
ap-1392	178	1	a	a	DET
ap-1392	178	2	,	,	PUNCT
ap-1392	178	3	40	40	NUM
ap-1392	178	4	2007	2007	NUM
ap-1392	178	5	,	,	PUNCT
ap-1392	178	6	p.	p.	NOUN
ap-1392	178	7	f215	f215	PROPN
ap-1392	178	8	–	–	PUNCT
ap-1392	178	9	f221	f221	PUNCT
ap-1392	178	10	.	.	PUNCT
ap-1392	179	1	[	[	X
ap-1392	179	2	11	11	NUM
ap-1392	179	3	]	]	X
ap-1392	179	4	bender	bender	NOUN
ap-1392	179	5	,	,	PUNCT
ap-1392	179	6	c.	c.	PROPN
ap-1392	179	7	m.	m.	PROPN
ap-1392	179	8	,	,	PUNCT
ap-1392	179	9	orszag	orszag	PROPN
ap-1392	179	10	,	,	PUNCT
ap-1392	179	11	s.	s.	PROPN
ap-1392	179	12	a.	a.	PROPN
ap-1392	179	13	:	:	PUNCT
ap-1392	179	14	advanced	advanced	ADJ
ap-1392	179	15	mathematical	mathematical	ADJ
ap-1392	179	16	methods	method	NOUN
ap-1392	179	17	for	for	ADP
ap-1392	179	18	scientists	scientist	NOUN
ap-1392	179	19	and	and	CCONJ
ap-1392	179	20	engineers	engineer	NOUN
ap-1392	179	21	,	,	PUNCT
ap-1392	179	22	new	new	PROPN
ap-1392	179	23	york	york	PROPN
ap-1392	179	24	,	,	PUNCT
ap-1392	179	25	mcgraw	mcgraw	PROPN
ap-1392	179	26	-	-	PUNCT
ap-1392	179	27	hill	hill	NOUN
ap-1392	179	28	,	,	PUNCT
ap-1392	179	29	1978	1978	NUM
ap-1392	179	30	.	.	PUNCT
ap-1392	180	1	[	[	X
ap-1392	180	2	12	12	NUM
ap-1392	180	3	]	]	X
ap-1392	180	4	bender	bender	NOUN
ap-1392	180	5	,	,	PUNCT
ap-1392	180	6	c.	c.	PROPN
ap-1392	180	7	m.	m.	NOUN
ap-1392	180	8	,	,	PUNCT
ap-1392	180	9	pelster	pelster	NOUN
ap-1392	180	10	,	,	PUNCT
ap-1392	180	11	a.	a.	NOUN
ap-1392	180	12	,	,	PUNCT
ap-1392	180	13	weissbach	weissbach	NOUN
ap-1392	180	14	,	,	PUNCT
ap-1392	180	15	f.	f.	PROPN
ap-1392	180	16	:	:	PUNCT
ap-1392	180	17	boundary	boundary	ADJ
ap-1392	180	18	-	-	PUNCT
ap-1392	180	19	layer	layer	NOUN
ap-1392	180	20	theory	theory	NOUN
ap-1392	180	21	,	,	PUNCT
ap-1392	180	22	strong	strong	ADJ
ap-1392	180	23	-	-	PUNCT
ap-1392	180	24	coupling	couple	VERB
ap-1392	180	25	series	series	NOUN
ap-1392	180	26	,	,	PUNCT
ap-1392	180	27	and	and	CCONJ
ap-1392	180	28	large	large	ADJ
ap-1392	180	29	-	-	PUNCT
ap-1392	180	30	order	order	NOUN
ap-1392	180	31	behavior	behavior	NOUN
ap-1392	180	32	.	.	PUNCT
ap-1392	181	1	j.	j.	PROPN
ap-1392	181	2	math	math	PROPN
ap-1392	181	3	.	.	PUNCT
ap-1392	182	1	phys	phy	NOUN
ap-1392	182	2	.	.	PUNCT
ap-1392	182	3	,	,	PUNCT
ap-1392	182	4	43	43	NUM
ap-1392	182	5	(	(	PUNCT
ap-1392	182	6	8)	8)	NUM
ap-1392	182	7	,	,	PUNCT
ap-1392	182	8	2002	2002	NUM
ap-1392	182	9	,	,	PUNCT
ap-1392	182	10	p.	p.	NOUN
ap-1392	182	11	4	4	NUM
ap-1392	182	12	202–4	202–4	NUM
ap-1392	182	13	220	220	NUM
ap-1392	182	14	.	.	PUNCT
ap-1392	182	15	paolo	paolo	PROPN
ap-1392	182	16	amore	amore	PROPN
ap-1392	183	1	e	e	PROPN
ap-1392	183	2	-	-	NOUN
ap-1392	183	3	mail	mail	NOUN
ap-1392	183	4	:	:	PUNCT
ap-1392	183	5	paolo@cgic.ucol.mx	paolo@cgic.ucol.mx	PROPN
ap-1392	183	6	facultad	facultad	PROPN
ap-1392	183	7	de	de	PROPN
ap-1392	183	8	ciencias	ciencias	PROPN
ap-1392	183	9	universidad	universidad	PROPN
ap-1392	183	10	de	de	PROPN
ap-1392	183	11	colima	colima	PROPN
ap-1392	183	12	bernal	bernal	PROPN
ap-1392	183	13	dı́az	dı́az	PROPN
ap-1392	183	14	del	del	PROPN
ap-1392	183	15	castillo	castillo	PROPN
ap-1392	183	16	340	340	NUM
ap-1392	183	17	,	,	PUNCT
ap-1392	183	18	colima	colima	PROPN
ap-1392	183	19	,	,	PUNCT
ap-1392	183	20	colima	colima	PROPN
ap-1392	183	21	,	,	PUNCT
ap-1392	183	22	mexico	mexico	PROPN
ap-1392	183	23	francisco	francisco	PROPN
ap-1392	183	24	m.	m.	NOUN
ap-1392	183	25	fernández	fernández	PROPN
ap-1392	183	26	e	e	NOUN
ap-1392	183	27	-	-	NOUN
ap-1392	183	28	mail	mail	NOUN
ap-1392	183	29	:	:	PUNCT
ap-1392	183	30	fernande@quimica.unlp.edu.ar	fernande@quimica.unlp.edu.ar	VERB
ap-1392	183	31	inifta	inifta	PROPN
ap-1392	183	32	(	(	PUNCT
ap-1392	183	33	conicet	conicet	PROPN
ap-1392	183	34	,	,	PUNCT
ap-1392	183	35	unlp	unlp	ADJ
ap-1392	183	36	)	)	PUNCT
ap-1392	183	37	,	,	PUNCT
ap-1392	183	38	diag	diag	NOUN
ap-1392	183	39	.	.	PROPN
ap-1392	184	1	113	113	NUM
ap-1392	184	2	y	y	NUM
ap-1392	184	3	64	64	NUM
ap-1392	184	4	s	s	NOUN
ap-1392	184	5	/	/	SYM
ap-1392	184	6	n	n	X
ap-1392	184	7	sucursal	sucursal	ADJ
ap-1392	184	8	4	4	NUM
ap-1392	184	9	,	,	PUNCT
ap-1392	184	10	casilla	casilla	X
ap-1392	184	11	de	de	X
ap-1392	184	12	correo	correo	PROPN
ap-1392	184	13	16	16	NUM
ap-1392	184	14	,	,	PUNCT
ap-1392	184	15	1900	1900	NUM
ap-1392	184	16	la	la	PROPN
ap-1392	184	17	plata	plata	PROPN
ap-1392	184	18	,	,	PUNCT
ap-1392	184	19	argentina	argentina	PROPN
ap-1392	184	20	13	13	NUM