id	sid	tid	token	lemma	pos
ejpam-864	1	1	18_864_frasin.dvi	18_864_frasin.dvi	PROPN
ejpam-864	1	2	european	european	PROPN
ejpam-864	1	3	journal	journal	PROPN
ejpam-864	1	4	of	of	ADP
ejpam-864	1	5	pure	pure	ADJ
ejpam-864	1	6	and	and	CCONJ
ejpam-864	1	7	applied	apply	VERB
ejpam-864	1	8	mathematics	mathematic	NOUN
ejpam-864	1	9	vol	vol	NOUN
ejpam-864	1	10	.	.	PUNCT
ejpam-864	2	1	3	3	NUM
ejpam-864	2	2	,	,	PUNCT
ejpam-864	2	3	no	no	INTJ
ejpam-864	2	4	.	.	NOUN
ejpam-864	2	5	6	6	NUM
ejpam-864	2	6	,	,	PUNCT
ejpam-864	2	7	2010	2010	NUM
ejpam-864	2	8	,	,	PUNCT
ejpam-864	2	9	1141	1141	NUM
ejpam-864	2	10	-	-	SYM
ejpam-864	2	11	1149	1149	NUM
ejpam-864	2	12	issn	issn	PROPN
ejpam-864	2	13	1307	1307	NUM
ejpam-864	2	14	-	-	SYM
ejpam-864	2	15	5543	5543	NUM
ejpam-864	2	16	–	–	PUNCT
ejpam-864	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-864	2	18	special	special	ADJ
ejpam-864	2	19	issue	issue	NOUN
ejpam-864	2	20	on	on	ADP
ejpam-864	2	21	complex	complex	ADJ
ejpam-864	2	22	analysis	analysis	NOUN
ejpam-864	2	23	:	:	PUNCT
ejpam-864	2	24	theory	theory	NOUN
ejpam-864	2	25	and	and	CCONJ
ejpam-864	2	26	applications	application	NOUN
ejpam-864	2	27	dedicated	dedicate	VERB
ejpam-864	2	28	to	to	ADP
ejpam-864	2	29	professor	professor	PROPN
ejpam-864	2	30	hari	hari	PROPN
ejpam-864	2	31	m.	m.	PROPN
ejpam-864	2	32	srivastava	srivastava	PROPN
ejpam-864	2	33	,	,	PUNCT
ejpam-864	2	34	on	on	ADP
ejpam-864	2	35	the	the	DET
ejpam-864	2	36	occasion	occasion	NOUN
ejpam-864	2	37	of	of	ADP
ejpam-864	2	38	his	his	PRON
ejpam-864	2	39	70th	70th	ADJ
ejpam-864	2	40	birthday	birthday	NOUN
ejpam-864	2	41	certain	certain	ADJ
ejpam-864	2	42	sufficient	sufficient	ADJ
ejpam-864	2	43	conditions	condition	NOUN
ejpam-864	2	44	for	for	ADP
ejpam-864	2	45	univalence	univalence	NOUN
ejpam-864	2	46	of	of	ADP
ejpam-864	2	47	two	two	NUM
ejpam-864	2	48	integral	integral	ADJ
ejpam-864	2	49	operators	operator	NOUN
ejpam-864	2	50	b.a	b.a	PROPN
ejpam-864	2	51	.	.	PROPN
ejpam-864	2	52	frasin	frasin	PROPN
ejpam-864	2	53	faculty	faculty	NOUN
ejpam-864	2	54	of	of	ADP
ejpam-864	2	55	science	science	NOUN
ejpam-864	2	56	,	,	PUNCT
ejpam-864	2	57	department	department	NOUN
ejpam-864	2	58	of	of	ADP
ejpam-864	2	59	mathematics	mathematics	PROPN
ejpam-864	2	60	,	,	PUNCT
ejpam-864	2	61	al	al	PROPN
ejpam-864	2	62	al	al	PROPN
ejpam-864	2	63	-	-	PUNCT
ejpam-864	2	64	bayt	bayt	ADJ
ejpam-864	2	65	university	university	NOUN
ejpam-864	2	66	,	,	PUNCT
ejpam-864	2	67	p.o	p.o	PROPN
ejpam-864	2	68	.	.	PROPN
ejpam-864	2	69	box	box	PROPN
ejpam-864	2	70	:	:	PUNCT
ejpam-864	2	71	130095	130095	NUM
ejpam-864	2	72	mafraq	mafraq	NOUN
ejpam-864	2	73	,	,	PUNCT
ejpam-864	2	74	jordan	jordan	PROPN
ejpam-864	2	75	abstract	abstract	PROPN
ejpam-864	2	76	.	.	PUNCT
ejpam-864	3	1	in	in	ADP
ejpam-864	3	2	this	this	DET
ejpam-864	3	3	paper	paper	NOUN
ejpam-864	3	4	,	,	PUNCT
ejpam-864	3	5	we	we	PRON
ejpam-864	3	6	obtain	obtain	VERB
ejpam-864	3	7	new	new	ADJ
ejpam-864	3	8	sufficient	sufficient	ADJ
ejpam-864	3	9	conditions	condition	NOUN
ejpam-864	3	10	for	for	SCONJ
ejpam-864	3	11	two	two	NUM
ejpam-864	3	12	general	general	ADJ
ejpam-864	3	13	integral	integral	ADJ
ejpam-864	3	14	operators	operator	NOUN
ejpam-864	3	15	to	to	PART
ejpam-864	3	16	be	be	AUX
ejpam-864	3	17	univalent	univalent	ADJ
ejpam-864	3	18	in	in	ADP
ejpam-864	3	19	the	the	DET
ejpam-864	3	20	open	open	ADJ
ejpam-864	3	21	unit	unit	NOUN
ejpam-864	3	22	disc	disc	NOUN
ejpam-864	3	23	.	.	PUNCT
ejpam-864	4	1	a	a	DET
ejpam-864	4	2	number	number	NOUN
ejpam-864	4	3	of	of	ADP
ejpam-864	4	4	new	new	ADJ
ejpam-864	4	5	univalent	univalent	ADJ
ejpam-864	4	6	conditions	condition	NOUN
ejpam-864	4	7	would	would	AUX
ejpam-864	4	8	follow	follow	VERB
ejpam-864	4	9	upon	upon	SCONJ
ejpam-864	4	10	specializing	specialize	VERB
ejpam-864	4	11	the	the	DET
ejpam-864	4	12	parameters	parameter	NOUN
ejpam-864	4	13	involved	involve	VERB
ejpam-864	4	14	in	in	ADP
ejpam-864	4	15	our	our	PRON
ejpam-864	4	16	main	main	ADJ
ejpam-864	4	17	results	result	NOUN
ejpam-864	4	18	.	.	PUNCT
ejpam-864	5	1	2000	2000	NUM
ejpam-864	5	2	mathematics	mathematic	NOUN
ejpam-864	5	3	subject	subject	NOUN
ejpam-864	5	4	classifications	classification	NOUN
ejpam-864	5	5	:	:	PUNCT
ejpam-864	5	6	30c45	30c45	NUM
ejpam-864	5	7	key	key	ADJ
ejpam-864	5	8	words	word	NOUN
ejpam-864	5	9	and	and	CCONJ
ejpam-864	5	10	phrases	phrase	NOUN
ejpam-864	5	11	:	:	PUNCT
ejpam-864	5	12	analytic	analytic	ADJ
ejpam-864	5	13	and	and	CCONJ
ejpam-864	5	14	univalent	univalent	ADJ
ejpam-864	5	15	functions	function	NOUN
ejpam-864	5	16	,	,	PUNCT
ejpam-864	5	17	integral	integral	ADJ
ejpam-864	5	18	operators	operator	NOUN
ejpam-864	5	19	1	1	NUM
ejpam-864	5	20	.	.	PUNCT
ejpam-864	6	1	introduction	introduction	NOUN
ejpam-864	6	2	and	and	CCONJ
ejpam-864	6	3	definitions	definition	NOUN
ejpam-864	6	4	leta	leta	PROPN
ejpam-864	6	5	denote	denote	VERB
ejpam-864	6	6	the	the	DET
ejpam-864	6	7	class	class	NOUN
ejpam-864	6	8	of	of	ADP
ejpam-864	6	9	functions	function	NOUN
ejpam-864	6	10	of	of	ADP
ejpam-864	6	11	the	the	DET
ejpam-864	6	12	form	form	NOUN
ejpam-864	6	13	:	:	PUNCT
ejpam-864	6	14	f	f	X
ejpam-864	6	15	(	(	PUNCT
ejpam-864	6	16	z	z	NOUN
ejpam-864	6	17	)	)	PUNCT
ejpam-864	6	18	=	=	SYM
ejpam-864	7	1	z	z	NOUN
ejpam-864	8	1	+	+	NUM
ejpam-864	8	2	∞	∞	NUM
ejpam-864	8	3	∑	∑	PUNCT
ejpam-864	8	4	n=2	n=2	PART
ejpam-864	8	5	anzn	anzn	NOUN
ejpam-864	8	6	which	which	PRON
ejpam-864	8	7	are	be	AUX
ejpam-864	8	8	analytic	analytic	ADJ
ejpam-864	8	9	in	in	ADP
ejpam-864	8	10	the	the	DET
ejpam-864	8	11	open	open	ADJ
ejpam-864	8	12	unit	unit	NOUN
ejpam-864	8	13	disc	disc	VERB
ejpam-864	8	14	u	u	NOUN
ejpam-864	8	15	=	=	PUNCT
ejpam-864	8	16	{	{	PUNCT
ejpam-864	8	17	z	z	NOUN
ejpam-864	8	18	:	:	PUNCT
ejpam-864	8	19	|z|	|z|	NOUN
ejpam-864	8	20	<	<	X
ejpam-864	8	21	1	1	NUM
ejpam-864	8	22	}	}	PUNCT
ejpam-864	8	23	.	.	PUNCT
ejpam-864	9	1	further	far	ADV
ejpam-864	9	2	,	,	PUNCT
ejpam-864	9	3	by	by	ADP
ejpam-864	9	4	s	s	PRON
ejpam-864	9	5	we	we	PRON
ejpam-864	9	6	shall	shall	AUX
ejpam-864	9	7	denote	denote	VERB
ejpam-864	9	8	the	the	DET
ejpam-864	9	9	class	class	NOUN
ejpam-864	9	10	of	of	ADP
ejpam-864	9	11	all	all	DET
ejpam-864	9	12	functions	function	NOUN
ejpam-864	9	13	ina	ina	VERB
ejpam-864	9	14	which	which	PRON
ejpam-864	9	15	are	be	AUX
ejpam-864	9	16	univalent	univalent	ADJ
ejpam-864	9	17	in	in	ADP
ejpam-864	9	18	u	u	PROPN
ejpam-864	9	19	.	.	PUNCT
ejpam-864	10	1	in	in	ADP
ejpam-864	10	2	[	[	X
ejpam-864	10	3	10	10	NUM
ejpam-864	10	4	]	]	X
ejpam-864	10	5	ozaki	ozaki	PROPN
ejpam-864	10	6	and	and	CCONJ
ejpam-864	10	7	nunokawa	nunokawa	PROPN
ejpam-864	10	8	showed	show	VERB
ejpam-864	10	9	that	that	SCONJ
ejpam-864	10	10	if	if	SCONJ
ejpam-864	10	11	f	f	PROPN
ejpam-864	10	12	∈a	∈a	NUM
ejpam-864	10	13	and	and	CCONJ
ejpam-864	10	14	�	�	PROPN
ejpam-864	10	15	�	�	PROPN
ejpam-864	10	16	�	�	PROPN
ejpam-864	10	17	�	�	PROPN
ejpam-864	10	18	�	�	PROPN
ejpam-864	10	19	z2	z2	PROPN
ejpam-864	10	20	f	f	PROPN
ejpam-864	10	21	′(z	′(z	NOUN
ejpam-864	10	22	)	)	PUNCT
ejpam-864	10	23	f	f	PROPN
ejpam-864	10	24	2(z	2(z	NUM
ejpam-864	10	25	)	)	PUNCT
ejpam-864	11	1	−	−	PROPN
ejpam-864	11	2	1	1	NUM
ejpam-864	11	3	�	�	PROPN
ejpam-864	11	4	�	�	PROPN
ejpam-864	11	5	�	�	PROPN
ejpam-864	11	6	�	�	PROPN
ejpam-864	11	7	�	�	PROPN
ejpam-864	11	8	≤	≤	PROPN
ejpam-864	11	9	|z|2	|z|2	PROPN
ejpam-864	11	10	,	,	PUNCT
ejpam-864	11	11	for	for	ADP
ejpam-864	11	12	all	all	DET
ejpam-864	11	13	z	z	NOUN
ejpam-864	11	14	∈	∈	PROPN
ejpam-864	11	15	u	u	NOUN
ejpam-864	11	16	,	,	PUNCT
ejpam-864	11	17	(	(	PUNCT
ejpam-864	11	18	1	1	X
ejpam-864	11	19	)	)	PUNCT
ejpam-864	11	20	then	then	ADV
ejpam-864	11	21	the	the	DET
ejpam-864	11	22	function	function	NOUN
ejpam-864	11	23	f	f	PROPN
ejpam-864	11	24	is	be	AUX
ejpam-864	11	25	univalent	univalent	ADJ
ejpam-864	11	26	in	in	ADP
ejpam-864	11	27	u	u	PROPN
ejpam-864	11	28	.	.	PUNCT
ejpam-864	12	1	email	email	NOUN
ejpam-864	12	2	address	address	NOUN
ejpam-864	12	3	:	:	PUNCT
ejpam-864	12	4	bafrasin	bafrasin	PROPN
ejpam-864	12	5	�	�	PROPN
ejpam-864	12	6	yahoo	yahoo	PROPN
ejpam-864	12	7	.	.	PUNCT
ejpam-864	13	1	om	om	PROPN
ejpam-864	13	2	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-864	13	3	1141	1141	NUM
ejpam-864	14	1	c	c	X
ejpam-864	14	2	©	©	PROPN
ejpam-864	14	3	2010	2010	NUM
ejpam-864	14	4	ejpam	ejpam	NOUN
ejpam-864	14	5	all	all	DET
ejpam-864	14	6	rights	right	NOUN
ejpam-864	14	7	reserved	reserve	VERB
ejpam-864	14	8	.	.	PUNCT
ejpam-864	15	1	b.	b.	PROPN
ejpam-864	15	2	frasin	frasin	PROPN
ejpam-864	15	3	/	/	SYM
ejpam-864	15	4	eur	eur	PROPN
ejpam-864	15	5	.	.	PUNCT
ejpam-864	16	1	j.	j.	PROPN
ejpam-864	16	2	pure	pure	PROPN
ejpam-864	16	3	appl	appl	PROPN
ejpam-864	16	4	.	.	PROPN
ejpam-864	16	5	math	math	PROPN
ejpam-864	16	6	,	,	PUNCT
ejpam-864	16	7	3	3	NUM
ejpam-864	16	8	(	(	PUNCT
ejpam-864	16	9	2010	2010	NUM
ejpam-864	16	10	)	)	PUNCT
ejpam-864	16	11	,	,	PUNCT
ejpam-864	16	12	1141	1141	NUM
ejpam-864	16	13	-	-	SYM
ejpam-864	16	14	1149	1149	NUM
ejpam-864	16	15	1142	1142	NUM
ejpam-864	16	16	making	making	NOUN
ejpam-864	16	17	use	use	NOUN
ejpam-864	16	18	of	of	ADP
ejpam-864	16	19	the	the	DET
ejpam-864	16	20	univalence	univalence	NOUN
ejpam-864	16	21	criteria	criterion	NOUN
ejpam-864	16	22	(	(	PUNCT
ejpam-864	16	23	1	1	NUM
ejpam-864	16	24	)	)	PUNCT
ejpam-864	16	25	,	,	PUNCT
ejpam-864	16	26	several	several	ADJ
ejpam-864	16	27	authors	author	NOUN
ejpam-864	16	28	(	(	PUNCT
ejpam-864	16	29	e.g.	e.g.	ADV
ejpam-864	16	30	,	,	PUNCT
ejpam-864	16	31	see	see	VERB
ejpam-864	16	32	[	[	X
ejpam-864	16	33	1	1	NUM
ejpam-864	16	34	,	,	PUNCT
ejpam-864	16	35	3	3	NUM
ejpam-864	16	36	,	,	PUNCT
ejpam-864	16	37	4	4	NUM
ejpam-864	16	38	,	,	PUNCT
ejpam-864	16	39	6	6	NUM
ejpam-864	16	40	,	,	PUNCT
ejpam-864	16	41	8	8	NUM
ejpam-864	16	42	,	,	PUNCT
ejpam-864	16	43	14	14	NUM
ejpam-864	16	44	,	,	PUNCT
ejpam-864	16	45	16	16	NUM
ejpam-864	16	46	,	,	PUNCT
ejpam-864	16	47	17	17	NUM
ejpam-864	16	48	]	]	PUNCT
ejpam-864	16	49	)	)	PUNCT
ejpam-864	16	50	,	,	PUNCT
ejpam-864	16	51	obtained	obtain	VERB
ejpam-864	16	52	many	many	ADJ
ejpam-864	16	53	sufficient	sufficient	ADJ
ejpam-864	16	54	conditions	condition	NOUN
ejpam-864	16	55	for	for	ADP
ejpam-864	16	56	the	the	DET
ejpam-864	16	57	univalency	univalency	NOUN
ejpam-864	16	58	of	of	ADP
ejpam-864	16	59	the	the	DET
ejpam-864	16	60	integral	integral	ADJ
ejpam-864	16	61	operators	operator	NOUN
ejpam-864	16	62	fα1,α2,	fα1,α2,	VERB
ejpam-864	16	63	...	...	PUNCT
ejpam-864	16	64	,αn	,αn	PROPN
ejpam-864	16	65	,	,	PUNCT
ejpam-864	16	66	β(z	β(z	PROPN
ejpam-864	16	67	)	)	PUNCT
ejpam-864	16	68	=	=	PUNCT
ejpam-864	17	1			PROPN
ejpam-864	17	2			PROPN
ejpam-864	17	3			PROPN
ejpam-864	17	4	z	z	PROPN
ejpam-864	17	5	∫	∫	PROPN
ejpam-864	17	6	0	0	PUNCT
ejpam-864	17	7	β	β	X
ejpam-864	17	8	tβ−1	tβ−1	PROPN
ejpam-864	17	9	�	�	PROPN
ejpam-864	17	10	f1(t	f1(t	PROPN
ejpam-864	17	11	)	)	PUNCT
ejpam-864	17	12	t	t	PROPN
ejpam-864	17	13	�	�	PROPN
ejpam-864	17	14	1	1	NUM
ejpam-864	17	15	α1	α1	PROPN
ejpam-864	17	16	.	.	PUNCT
ejpam-864	17	17	.	.	PUNCT
ejpam-864	17	18	.	.	PUNCT
ejpam-864	18	1	�	�	PROPN
ejpam-864	18	2	fn(t	fn(t	PUNCT
ejpam-864	18	3	)	)	PUNCT
ejpam-864	18	4	t	t	PROPN
ejpam-864	18	5	�	�	PROPN
ejpam-864	18	6	1	1	NUM
ejpam-864	18	7	αn	αn	NOUN
ejpam-864	18	8	d	d	NOUN
ejpam-864	18	9	t	t	PROPN
ejpam-864	18	10			PROPN
ejpam-864	18	11			PROPN
ejpam-864	18	12			NOUN
ejpam-864	18	13	1	1	NUM
ejpam-864	18	14	β	β	X
ejpam-864	18	15	(	(	PUNCT
ejpam-864	18	16	2	2	NUM
ejpam-864	18	17	)	)	PUNCT
ejpam-864	18	18	and	and	CCONJ
ejpam-864	18	19	gn	gn	PROPN
ejpam-864	18	20	,	,	PUNCT
ejpam-864	18	21	β	β	X
ejpam-864	18	22	(	(	PUNCT
ejpam-864	18	23	z	z	NOUN
ejpam-864	18	24	)	)	PUNCT
ejpam-864	18	25	=	=	PUNCT
ejpam-864	19	1			PROPN
ejpam-864	19	2			PRON
ejpam-864	19	3			NOUN
ejpam-864	19	4	[	[	X
ejpam-864	19	5	n(β	n(β	PROPN
ejpam-864	19	6	−	−	NOUN
ejpam-864	19	7	1	1	NUM
ejpam-864	19	8	)	)	PUNCT
ejpam-864	19	9	+	+	CCONJ
ejpam-864	19	10	1	1	X
ejpam-864	19	11	]	]	PUNCT
ejpam-864	19	12	z	z	X
ejpam-864	19	13	∫	∫	PROPN
ejpam-864	19	14	0	0	PROPN
ejpam-864	19	15	�	�	PROPN
ejpam-864	19	16	f1(t	f1(t	PROPN
ejpam-864	19	17	)	)	PUNCT
ejpam-864	19	18	�	�	PROPN
ejpam-864	19	19	β−1	β−1	PUNCT
ejpam-864	19	20	.	.	PUNCT
ejpam-864	19	21	.	.	PUNCT
ejpam-864	19	22	.	.	PUNCT
ejpam-864	20	1	�	�	PROPN
ejpam-864	20	2	fn(t	fn(t	PUNCT
ejpam-864	20	3	)	)	PUNCT
ejpam-864	20	4	�	�	PROPN
ejpam-864	20	5	β−1	β−1	PROPN
ejpam-864	20	6	d	d	PROPN
ejpam-864	20	7	t	t	PROPN
ejpam-864	21	1			PROPN
ejpam-864	21	2			PROPN
ejpam-864	21	3			NOUN
ejpam-864	21	4	1	1	NUM
ejpam-864	21	5	n(β−1)+1	n(β−1)+1	NOUN
ejpam-864	21	6	(	(	PUNCT
ejpam-864	21	7	3	3	NUM
ejpam-864	21	8	)	)	PUNCT
ejpam-864	21	9	where	where	SCONJ
ejpam-864	21	10	the	the	DET
ejpam-864	21	11	functions	function	NOUN
ejpam-864	21	12	f1	f1	NOUN
ejpam-864	21	13	,	,	PUNCT
ejpam-864	21	14	f2	f2	PROPN
ejpam-864	21	15	,	,	PUNCT
ejpam-864	21	16	.	.	PUNCT
ejpam-864	21	17	.	.	PUNCT
ejpam-864	21	18	.	.	PUNCT
ejpam-864	22	1	,	,	PUNCT
ejpam-864	22	2	fn	fn	NOUN
ejpam-864	22	3	belong	belong	VERB
ejpam-864	22	4	to	to	ADP
ejpam-864	22	5	the	the	DET
ejpam-864	22	6	classa	classa	NOUN
ejpam-864	22	7	and	and	CCONJ
ejpam-864	22	8	the	the	DET
ejpam-864	22	9	parameters	parameter	NOUN
ejpam-864	22	10	α1,α2	α1,α2	PROPN
ejpam-864	22	11	,	,	PUNCT
ejpam-864	22	12	.	.	PUNCT
ejpam-864	22	13	.	.	PUNCT
ejpam-864	23	1	.	.	PUNCT
ejpam-864	24	1	,	,	PUNCT
ejpam-864	24	2	αn	αn	NOUN
ejpam-864	24	3	and	and	CCONJ
ejpam-864	24	4	β	β	X
ejpam-864	24	5	are	be	AUX
ejpam-864	24	6	complex	complex	ADJ
ejpam-864	24	7	numbers	number	NOUN
ejpam-864	24	8	such	such	ADJ
ejpam-864	24	9	that	that	SCONJ
ejpam-864	24	10	the	the	DET
ejpam-864	24	11	integrals	integral	NOUN
ejpam-864	24	12	in	in	ADP
ejpam-864	24	13	(	(	PUNCT
ejpam-864	24	14	2	2	NUM
ejpam-864	24	15	)	)	PUNCT
ejpam-864	24	16	and	and	CCONJ
ejpam-864	24	17	(	(	PUNCT
ejpam-864	24	18	3	3	X
ejpam-864	24	19	)	)	PUNCT
ejpam-864	24	20	exist	exist	VERB
ejpam-864	24	21	.	.	PUNCT
ejpam-864	25	1	here	here	ADV
ejpam-864	25	2	and	and	CCONJ
ejpam-864	25	3	throughout	throughout	ADP
ejpam-864	25	4	in	in	ADP
ejpam-864	25	5	the	the	DET
ejpam-864	25	6	sequel	sequel	NOUN
ejpam-864	25	7	every	every	DET
ejpam-864	25	8	many	many	ADV
ejpam-864	25	9	-	-	PUNCT
ejpam-864	25	10	valued	value	VERB
ejpam-864	25	11	function	function	NOUN
ejpam-864	25	12	is	be	AUX
ejpam-864	25	13	taken	take	VERB
ejpam-864	25	14	with	with	ADP
ejpam-864	25	15	the	the	DET
ejpam-864	25	16	principal	principal	ADJ
ejpam-864	25	17	branch	branch	NOUN
ejpam-864	25	18	.	.	PUNCT
ejpam-864	26	1	the	the	DET
ejpam-864	26	2	integral	integral	ADJ
ejpam-864	26	3	operator	operator	NOUN
ejpam-864	26	4	in	in	ADP
ejpam-864	26	5	(	(	PUNCT
ejpam-864	26	6	2	2	NUM
ejpam-864	26	7	)	)	PUNCT
ejpam-864	26	8	was	be	AUX
ejpam-864	26	9	introduced	introduce	VERB
ejpam-864	26	10	and	and	CCONJ
ejpam-864	26	11	studied	study	VERB
ejpam-864	26	12	by	by	ADP
ejpam-864	26	13	seenivasagan	seenivasagan	NOUN
ejpam-864	26	14	and	and	CCONJ
ejpam-864	26	15	breaz	breaz	VERB
ejpam-864	26	16	[	[	X
ejpam-864	26	17	15	15	NUM
ejpam-864	26	18	]	]	PUNCT
ejpam-864	26	19	,	,	PUNCT
ejpam-864	26	20	and	and	CCONJ
ejpam-864	26	21	the	the	DET
ejpam-864	26	22	integral	integral	ADJ
ejpam-864	26	23	operator	operator	NOUN
ejpam-864	26	24	in	in	ADP
ejpam-864	26	25	(	(	PUNCT
ejpam-864	26	26	3	3	X
ejpam-864	26	27	)	)	PUNCT
ejpam-864	26	28	was	be	AUX
ejpam-864	26	29	introduced	introduce	VERB
ejpam-864	26	30	and	and	CCONJ
ejpam-864	26	31	studied	study	VERB
ejpam-864	26	32	by	by	ADP
ejpam-864	26	33	breaz	breaz	NOUN
ejpam-864	26	34	and	and	CCONJ
ejpam-864	26	35	breaz	breaz	NOUN
ejpam-864	27	1	[	[	X
ejpam-864	27	2	2	2	NUM
ejpam-864	27	3	]	]	PUNCT
ejpam-864	27	4	.	.	PUNCT
ejpam-864	28	1	in	in	ADP
ejpam-864	28	2	this	this	DET
ejpam-864	28	3	paper	paper	NOUN
ejpam-864	28	4	we	we	PRON
ejpam-864	28	5	are	be	AUX
ejpam-864	28	6	mainly	mainly	ADV
ejpam-864	28	7	interested	interested	ADJ
ejpam-864	28	8	on	on	ADP
ejpam-864	28	9	some	some	DET
ejpam-864	28	10	integral	integral	ADJ
ejpam-864	28	11	operators	operator	NOUN
ejpam-864	28	12	of	of	ADP
ejpam-864	28	13	the	the	DET
ejpam-864	28	14	type	type	NOUN
ejpam-864	28	15	(	(	PUNCT
ejpam-864	28	16	2	2	NUM
ejpam-864	28	17	)	)	PUNCT
ejpam-864	28	18	and	and	CCONJ
ejpam-864	28	19	(	(	PUNCT
ejpam-864	28	20	3	3	NUM
ejpam-864	28	21	)	)	PUNCT
ejpam-864	28	22	.	.	PUNCT
ejpam-864	29	1	more	more	ADV
ejpam-864	29	2	precisely	precisely	ADV
ejpam-864	29	3	,	,	PUNCT
ejpam-864	29	4	we	we	PRON
ejpam-864	29	5	obtain	obtain	VERB
ejpam-864	29	6	new	new	ADJ
ejpam-864	29	7	sufficient	sufficient	ADJ
ejpam-864	29	8	conditions	condition	NOUN
ejpam-864	29	9	for	for	SCONJ
ejpam-864	29	10	this	this	DET
ejpam-864	29	11	operators	operator	NOUN
ejpam-864	29	12	to	to	PART
ejpam-864	29	13	be	be	AUX
ejpam-864	29	14	univalent	univalent	ADJ
ejpam-864	29	15	in	in	ADP
ejpam-864	29	16	the	the	DET
ejpam-864	29	17	open	open	ADJ
ejpam-864	29	18	unit	unit	NOUN
ejpam-864	29	19	disc	disc	VERB
ejpam-864	29	20	u	u	NOUN
ejpam-864	29	21	.	.	PUNCT
ejpam-864	30	1	in	in	ADP
ejpam-864	30	2	the	the	DET
ejpam-864	30	3	proofs	proof	NOUN
ejpam-864	30	4	of	of	ADP
ejpam-864	30	5	our	our	PRON
ejpam-864	30	6	main	main	ADJ
ejpam-864	30	7	results	result	NOUN
ejpam-864	30	8	we	we	PRON
ejpam-864	30	9	need	need	VERB
ejpam-864	30	10	the	the	DET
ejpam-864	30	11	following	follow	VERB
ejpam-864	30	12	univalence	univalence	NOUN
ejpam-864	30	13	criteria	criterion	NOUN
ejpam-864	30	14	.	.	PUNCT
ejpam-864	31	1	the	the	DET
ejpam-864	31	2	first	first	ADJ
ejpam-864	31	3	result	result	NOUN
ejpam-864	31	4	,	,	PUNCT
ejpam-864	31	5	i.e.	i.e.	X
ejpam-864	31	6	lemma	lemma	PROPN
ejpam-864	31	7	1	1	NUM
ejpam-864	31	8	is	be	AUX
ejpam-864	31	9	a	a	DET
ejpam-864	31	10	generalization	generalization	NOUN
ejpam-864	31	11	of	of	ADP
ejpam-864	31	12	ozaki	ozaki	PROPN
ejpam-864	31	13	nunokawa	nunokawa	PROPN
ejpam-864	31	14	’s	’s	PART
ejpam-864	31	15	criterion	criterion	NOUN
ejpam-864	31	16	(	(	PUNCT
ejpam-864	31	17	1	1	NUM
ejpam-864	31	18	)	)	PUNCT
ejpam-864	31	19	obtained	obtain	VERB
ejpam-864	31	20	by	by	ADP
ejpam-864	31	21	raducanu	raducanu	PROPN
ejpam-864	31	22	et	et	PROPN
ejpam-864	31	23	al	al	PROPN
ejpam-864	31	24	.	.	PUNCT
ejpam-864	32	1	[	[	X
ejpam-864	32	2	13	13	NUM
ejpam-864	32	3	]	]	PUNCT
ejpam-864	32	4	,	,	PUNCT
ejpam-864	32	5	while	while	SCONJ
ejpam-864	32	6	the	the	DET
ejpam-864	32	7	second	second	ADJ
ejpam-864	32	8	,	,	PUNCT
ejpam-864	32	9	i.e.	i.e.	X
ejpam-864	32	10	lemma	lemma	PROPN
ejpam-864	32	11	2	2	NUM
ejpam-864	32	12	is	be	AUX
ejpam-864	32	13	a	a	DET
ejpam-864	32	14	generalization	generalization	NOUN
ejpam-864	32	15	of	of	ADP
ejpam-864	32	16	ahlfors	ahlfor	NOUN
ejpam-864	32	17	’	'	PUNCT
ejpam-864	32	18	and	and	CCONJ
ejpam-864	32	19	becker	becker	PROPN
ejpam-864	32	20	’s	’s	PART
ejpam-864	32	21	univalence	univalence	NOUN
ejpam-864	32	22	criterion	criterion	NOUN
ejpam-864	32	23	[	[	X
ejpam-864	32	24	11	11	NUM
ejpam-864	32	25	]	]	PUNCT
ejpam-864	32	26	.	.	PUNCT
ejpam-864	33	1	finally	finally	ADV
ejpam-864	33	2	,	,	PUNCT
ejpam-864	33	3	we	we	PRON
ejpam-864	33	4	need	need	VERB
ejpam-864	33	5	the	the	DET
ejpam-864	33	6	well	well	ADV
ejpam-864	33	7	-	-	PUNCT
ejpam-864	33	8	known	know	VERB
ejpam-864	33	9	general	general	ADJ
ejpam-864	33	10	schwarz	schwarz	PROPN
ejpam-864	33	11	lemma	lemma	PROPN
ejpam-864	33	12	.	.	PUNCT
ejpam-864	34	1	lemma	lemma	PROPN
ejpam-864	34	2	1	1	NUM
ejpam-864	34	3	(	(	PUNCT
ejpam-864	34	4	[	[	X
ejpam-864	34	5	13	13	NUM
ejpam-864	34	6	]	]	NUM
ejpam-864	34	7	)	)	PUNCT
ejpam-864	34	8	.	.	PUNCT
ejpam-864	35	1	let	let	VERB
ejpam-864	35	2	f	f	PROPN
ejpam-864	35	3	∈	∈	PROPN
ejpam-864	35	4	a	a	PRON
ejpam-864	35	5	and	and	CCONJ
ejpam-864	35	6	m	m	VERB
ejpam-864	35	7	>	>	X
ejpam-864	35	8	0	0	NUM
ejpam-864	36	1	such	such	ADJ
ejpam-864	36	2	that	that	SCONJ
ejpam-864	36	3	�	�	PROPN
ejpam-864	36	4	�	�	PROPN
ejpam-864	36	5	�	�	PROPN
ejpam-864	36	6	�	�	PROPN
ejpam-864	36	7	�	�	PROPN
ejpam-864	36	8	�	�	PROPN
ejpam-864	36	9	z2	z2	PROPN
ejpam-864	36	10	f	f	PROPN
ejpam-864	36	11	′(z	′(z	NOUN
ejpam-864	36	12	)	)	PUNCT
ejpam-864	36	13	f	f	PROPN
ejpam-864	36	14	2(z	2(z	NUM
ejpam-864	36	15	)	)	PUNCT
ejpam-864	36	16	−	−	PROPN
ejpam-864	36	17	1	1	NUM
ejpam-864	36	18	�	�	PROPN
ejpam-864	36	19	−	−	NOUN
ejpam-864	36	20	m−	m−	PROPN
ejpam-864	36	21	1	1	NUM
ejpam-864	36	22	2	2	NUM
ejpam-864	36	23	|z|m+1	|z|m+1	PROPN
ejpam-864	36	24	�	�	PROPN
ejpam-864	36	25	�	�	PROPN
ejpam-864	36	26	�	�	PROPN
ejpam-864	36	27	�	�	PROPN
ejpam-864	36	28	�	�	PROPN
ejpam-864	36	29	≤	≤	PROPN
ejpam-864	36	30	m+	m+	NUM
ejpam-864	36	31	1	1	NUM
ejpam-864	36	32	2	2	NUM
ejpam-864	36	33	|z|m+1	|z|m+1	NOUN
ejpam-864	36	34	,	,	PUNCT
ejpam-864	36	35	(	(	PUNCT
ejpam-864	36	36	4	4	X
ejpam-864	36	37	)	)	PUNCT
ejpam-864	36	38	for	for	ADP
ejpam-864	36	39	all	all	DET
ejpam-864	36	40	z	z	NOUN
ejpam-864	36	41	∈	∈	PROPN
ejpam-864	36	42	u	u	NOUN
ejpam-864	36	43	.	.	PUNCT
ejpam-864	37	1	then	then	ADV
ejpam-864	37	2	the	the	DET
ejpam-864	37	3	function	function	NOUN
ejpam-864	37	4	f	f	PROPN
ejpam-864	37	5	is	be	AUX
ejpam-864	37	6	analytic	analytic	ADJ
ejpam-864	37	7	and	and	CCONJ
ejpam-864	37	8	univalent	univalent	ADJ
ejpam-864	37	9	in	in	ADP
ejpam-864	37	10	u	u	PROPN
ejpam-864	37	11	.	.	PUNCT
ejpam-864	38	1	lemma	lemma	PROPN
ejpam-864	38	2	2	2	NUM
ejpam-864	38	3	(	(	PUNCT
ejpam-864	38	4	[	[	X
ejpam-864	38	5	11	11	NUM
ejpam-864	38	6	]	]	NUM
ejpam-864	38	7	)	)	PUNCT
ejpam-864	38	8	.	.	PUNCT
ejpam-864	39	1	let	let	VERB
ejpam-864	39	2	β	β	X
ejpam-864	39	3	∈	∈	PROPN
ejpam-864	39	4	c	c	PROPN
ejpam-864	39	5	with	with	ADP
ejpam-864	39	6	re(β	re(β	NOUN
ejpam-864	39	7	)	)	PUNCT
ejpam-864	39	8	>	>	X
ejpam-864	39	9	0	0	NUM
ejpam-864	39	10	,	,	PUNCT
ejpam-864	39	11	c	c	PROPN
ejpam-864	39	12	∈	∈	PROPN
ejpam-864	39	13	c	c	PROPN
ejpam-864	39	14	with	with	ADP
ejpam-864	39	15	|c|	|c|	PROPN
ejpam-864	39	16	≤	≤	NUM
ejpam-864	39	17	1	1	NUM
ejpam-864	39	18	,	,	PUNCT
ejpam-864	39	19	c	c	NOUN
ejpam-864	39	20	6=	6=	ADP
ejpam-864	39	21	−1	−1	NOUN
ejpam-864	39	22	.	.	PUNCT
ejpam-864	40	1	if	if	SCONJ
ejpam-864	40	2	h	h	PROPN
ejpam-864	40	3	∈a	∈a	ADJ
ejpam-864	40	4	satisfies	satisfie	NOUN
ejpam-864	40	5	�	�	PROPN
ejpam-864	40	6	�	�	PROPN
ejpam-864	40	7	�	�	PROPN
ejpam-864	40	8	�	�	PROPN
ejpam-864	40	9	c	c	PROPN
ejpam-864	40	10	|z|2β	|z|2β	X
ejpam-864	41	1	+	+	CCONJ
ejpam-864	41	2	(	(	PUNCT
ejpam-864	41	3	1−	1−	NUM
ejpam-864	41	4	|z|2β	|z|2β	X
ejpam-864	41	5	)	)	PUNCT
ejpam-864	42	1	zh′′(z	zh′′(z	X
ejpam-864	42	2	)	)	PUNCT
ejpam-864	42	3	βh′(z	βh′(z	NOUN
ejpam-864	42	4	)	)	PUNCT
ejpam-864	42	5	�	�	PROPN
ejpam-864	42	6	�	�	PROPN
ejpam-864	42	7	�	�	PROPN
ejpam-864	42	8	�	�	PROPN
ejpam-864	42	9	≤	≤	PROPN
ejpam-864	42	10	1	1	NUM
ejpam-864	42	11	,	,	PUNCT
ejpam-864	42	12	for	for	ADP
ejpam-864	42	13	all	all	DET
ejpam-864	42	14	z	z	NOUN
ejpam-864	42	15	∈	∈	PROPN
ejpam-864	42	16	u	u	NOUN
ejpam-864	42	17	,	,	PUNCT
ejpam-864	42	18	then	then	ADV
ejpam-864	42	19	the	the	DET
ejpam-864	42	20	integral	integral	ADJ
ejpam-864	42	21	operator	operator	NOUN
ejpam-864	42	22	fβ	fβ	ADP
ejpam-864	42	23	(	(	PUNCT
ejpam-864	42	24	z	z	NOUN
ejpam-864	42	25	)	)	PUNCT
ejpam-864	42	26	=	=	PUNCT
ejpam-864	42	27			PROPN
ejpam-864	42	28			X
ejpam-864	42	29			PROPN
ejpam-864	42	30	β	β	PROPN
ejpam-864	42	31	z	z	PROPN
ejpam-864	42	32	∫	∫	PROPN
ejpam-864	42	33	0	0	PROPN
ejpam-864	43	1	tβ−1h′(t)d	tβ−1h′(t)d	PROPN
ejpam-864	43	2	t	t	PROPN
ejpam-864	43	3			PROPN
ejpam-864	43	4			PROPN
ejpam-864	43	5			NOUN
ejpam-864	43	6	1	1	NUM
ejpam-864	43	7	β	β	NOUN
ejpam-864	43	8	is	be	AUX
ejpam-864	43	9	analytic	analytic	ADJ
ejpam-864	43	10	and	and	CCONJ
ejpam-864	43	11	univalent	univalent	ADJ
ejpam-864	43	12	in	in	ADP
ejpam-864	43	13	u	u	PROPN
ejpam-864	43	14	.	.	PUNCT
ejpam-864	44	1	b.	b.	PROPN
ejpam-864	44	2	frasin	frasin	PROPN
ejpam-864	44	3	/	/	SYM
ejpam-864	44	4	eur	eur	PROPN
ejpam-864	44	5	.	.	PUNCT
ejpam-864	45	1	j.	j.	PROPN
ejpam-864	45	2	pure	pure	PROPN
ejpam-864	45	3	appl	appl	PROPN
ejpam-864	45	4	.	.	PROPN
ejpam-864	45	5	math	math	PROPN
ejpam-864	45	6	,	,	PUNCT
ejpam-864	45	7	3	3	NUM
ejpam-864	45	8	(	(	PUNCT
ejpam-864	45	9	2010	2010	NUM
ejpam-864	45	10	)	)	PUNCT
ejpam-864	45	11	,	,	PUNCT
ejpam-864	45	12	1141	1141	NUM
ejpam-864	45	13	-	-	SYM
ejpam-864	45	14	1149	1149	NUM
ejpam-864	45	15	1143	1143	NUM
ejpam-864	45	16	lemma	lemma	PROPN
ejpam-864	45	17	3	3	NUM
ejpam-864	45	18	(	(	PUNCT
ejpam-864	45	19	[	[	X
ejpam-864	45	20	9	9	NUM
ejpam-864	45	21	]	]	PUNCT
ejpam-864	45	22	)	)	PUNCT
ejpam-864	45	23	.	.	PUNCT
ejpam-864	46	1	let	let	VERB
ejpam-864	46	2	the	the	DET
ejpam-864	46	3	function	function	NOUN
ejpam-864	46	4	f	f	PROPN
ejpam-864	46	5	be	be	AUX
ejpam-864	46	6	regular	regular	ADJ
ejpam-864	46	7	in	in	ADP
ejpam-864	46	8	the	the	DET
ejpam-864	46	9	disk	disk	NOUN
ejpam-864	46	10	ur	ur	INTJ
ejpam-864	46	11	=	=	PUNCT
ejpam-864	46	12	{	{	PUNCT
ejpam-864	46	13	z	z	NOUN
ejpam-864	46	14	:	:	PUNCT
ejpam-864	46	15	|z|	|z|	NOUN
ejpam-864	46	16	<	<	X
ejpam-864	46	17	r	r	NOUN
ejpam-864	46	18	}	}	PUNCT
ejpam-864	46	19	,	,	PUNCT
ejpam-864	46	20	with	with	ADP
ejpam-864	46	21	�	�	PROPN
ejpam-864	46	22	�	�	PROPN
ejpam-864	46	23	f	f	PROPN
ejpam-864	46	24	(	(	PUNCT
ejpam-864	46	25	z	z	PROPN
ejpam-864	46	26	)	)	PUNCT
ejpam-864	46	27	�	�	PROPN
ejpam-864	46	28	�	�	PROPN
ejpam-864	46	29	<	<	X
ejpam-864	46	30	m	m	PROPN
ejpam-864	46	31	for	for	ADP
ejpam-864	46	32	fixed	fixed	ADJ
ejpam-864	46	33	m	m	NOUN
ejpam-864	46	34	.	.	PUNCT
ejpam-864	47	1	if	if	SCONJ
ejpam-864	47	2	f	f	PROPN
ejpam-864	47	3	(	(	PUNCT
ejpam-864	47	4	z	z	NOUN
ejpam-864	47	5	)	)	PUNCT
ejpam-864	47	6	has	have	VERB
ejpam-864	47	7	one	one	NUM
ejpam-864	47	8	zero	zero	NUM
ejpam-864	47	9	with	with	ADP
ejpam-864	47	10	multiplicity	multiplicity	NOUN
ejpam-864	47	11	order	order	NOUN
ejpam-864	47	12	bigger	big	ADJ
ejpam-864	47	13	than	than	ADP
ejpam-864	47	14	m	m	VERB
ejpam-864	47	15	for	for	ADP
ejpam-864	47	16	z	z	NOUN
ejpam-864	47	17	=	=	SYM
ejpam-864	47	18	0	0	NUM
ejpam-864	47	19	,	,	PUNCT
ejpam-864	47	20	then	then	ADV
ejpam-864	47	21	�	�	PROPN
ejpam-864	47	22	�	�	PROPN
ejpam-864	47	23	f	f	PROPN
ejpam-864	47	24	(	(	PUNCT
ejpam-864	47	25	z	z	PROPN
ejpam-864	47	26	)	)	PUNCT
ejpam-864	47	27	�	�	PROPN
ejpam-864	47	28	�	�	PROPN
ejpam-864	47	29	≤	≤	PROPN
ejpam-864	47	30	m	m	PROPN
ejpam-864	47	31	rm	rm	NOUN
ejpam-864	47	32	|z|m	|z|m	PROPN
ejpam-864	47	33	(	(	PUNCT
ejpam-864	47	34	z	z	NOUN
ejpam-864	47	35	∈	∈	PROPN
ejpam-864	47	36	ur	ur	NOUN
ejpam-864	47	37	)	)	PUNCT
ejpam-864	47	38	.	.	PUNCT
ejpam-864	48	1	the	the	DET
ejpam-864	48	2	equality	equality	NOUN
ejpam-864	48	3	can	can	AUX
ejpam-864	48	4	hold	hold	VERB
ejpam-864	48	5	only	only	ADV
ejpam-864	48	6	if	if	SCONJ
ejpam-864	48	7	f	f	PROPN
ejpam-864	48	8	(	(	PUNCT
ejpam-864	48	9	z	z	NOUN
ejpam-864	48	10	)	)	PUNCT
ejpam-864	49	1	=	=	SYM
ejpam-864	49	2	eiθ	eiθ	PROPN
ejpam-864	49	3	(	(	PUNCT
ejpam-864	49	4	m	m	PROPN
ejpam-864	49	5	/	/	SYM
ejpam-864	49	6	rm	rm	PROPN
ejpam-864	49	7	)	)	PUNCT
ejpam-864	49	8	zm	zm	PROPN
ejpam-864	49	9	where	where	SCONJ
ejpam-864	49	10	θ	θ	PROPN
ejpam-864	49	11	is	be	AUX
ejpam-864	49	12	constant	constant	ADJ
ejpam-864	49	13	.	.	PUNCT
ejpam-864	50	1	2	2	X
ejpam-864	50	2	.	.	X
ejpam-864	50	3	univalence	univalence	NOUN
ejpam-864	50	4	conditions	condition	NOUN
ejpam-864	50	5	for	for	ADP
ejpam-864	50	6	fα1,α2,	fα1,α2,	ADJ
ejpam-864	50	7	...	...	PUNCT
ejpam-864	50	8	,αn	,αn	PROPN
ejpam-864	50	9	,	,	PUNCT
ejpam-864	50	10	β(z	β(z	PROPN
ejpam-864	50	11	)	)	PUNCT
ejpam-864	50	12	we	we	PRON
ejpam-864	50	13	first	first	ADV
ejpam-864	50	14	prove	prove	VERB
ejpam-864	50	15	theorem	theorem	VERB
ejpam-864	50	16	1	1	X
ejpam-864	50	17	.	.	PUNCT
ejpam-864	51	1	let	let	VERB
ejpam-864	51	2	αi	αi	PRON
ejpam-864	51	3	∈	∈	PROPN
ejpam-864	51	4	c	c	X
ejpam-864	51	5	,	,	PUNCT
ejpam-864	51	6	mi	mi	PROPN
ejpam-864	51	7	≥	≥	PROPN
ejpam-864	51	8	1	1	NUM
ejpam-864	51	9	,	,	PUNCT
ejpam-864	51	10	mi	mi	X
ejpam-864	51	11	>	>	X
ejpam-864	51	12	0	0	PUNCT
ejpam-864	52	1	for	for	ADP
ejpam-864	52	2	all	all	DET
ejpam-864	52	3	i	i	PRON
ejpam-864	52	4	=	=	NOUN
ejpam-864	52	5	1	1	NUM
ejpam-864	52	6	,	,	PUNCT
ejpam-864	52	7	.	.	PUNCT
ejpam-864	52	8	.	.	PUNCT
ejpam-864	52	9	.	.	PUNCT
ejpam-864	53	1	,	,	PUNCT
ejpam-864	53	2	n	n	PROPN
ejpam-864	53	3	and	and	CCONJ
ejpam-864	53	4	β	β	X
ejpam-864	53	5	∈	∈	PROPN
ejpam-864	53	6	c	c	NOUN
ejpam-864	53	7	with	with	ADP
ejpam-864	53	8	re(β)≥	re(β)≥	NOUN
ejpam-864	53	9	n	n	PROPN
ejpam-864	53	10	∑	∑	PROPN
ejpam-864	53	11	i=1	i=1	PROPN
ejpam-864	53	12	(	(	PUNCT
ejpam-864	53	13	mi	mi	PROPN
ejpam-864	54	1	+	+	CCONJ
ejpam-864	54	2	1)mi	1)mi	NUM
ejpam-864	54	3	+	+	CCONJ
ejpam-864	54	4	1	1	NUM
ejpam-864	54	5	�	�	PROPN
ejpam-864	54	6	�	�	PROPN
ejpam-864	54	7	αi	αi	PROPN
ejpam-864	54	8	�	�	PROPN
ejpam-864	54	9	�	�	PROPN
ejpam-864	54	10	.	.	PUNCT
ejpam-864	55	1	(	(	PUNCT
ejpam-864	55	2	5	5	NUM
ejpam-864	55	3	)	)	PUNCT
ejpam-864	55	4	and	and	CCONJ
ejpam-864	55	5	let	let	VERB
ejpam-864	55	6	c	c	NOUN
ejpam-864	55	7	∈	∈	PROPN
ejpam-864	55	8	c	c	AUX
ejpam-864	55	9	be	be	AUX
ejpam-864	55	10	such	such	ADJ
ejpam-864	55	11	that	that	DET
ejpam-864	55	12	|c|	|c|	PROPN
ejpam-864	55	13	≤	≤	ADV
ejpam-864	56	1	1−	1−	NUM
ejpam-864	56	2	1	1	NUM
ejpam-864	56	3	re(β	re(β	NOUN
ejpam-864	56	4	)	)	PUNCT
ejpam-864	57	1	n	n	CCONJ
ejpam-864	57	2	∑	∑	PROPN
ejpam-864	57	3	i=1	i=1	PROPN
ejpam-864	57	4	(	(	PUNCT
ejpam-864	57	5	mi	mi	PROPN
ejpam-864	58	1	+	+	CCONJ
ejpam-864	58	2	1)mi	1)mi	NUM
ejpam-864	58	3	+	+	CCONJ
ejpam-864	58	4	1	1	NUM
ejpam-864	58	5	�	�	PROPN
ejpam-864	58	6	�	�	PROPN
ejpam-864	58	7	αi	αi	PROPN
ejpam-864	58	8	�	�	PROPN
ejpam-864	58	9	�	�	PROPN
ejpam-864	58	10	.	.	PUNCT
ejpam-864	59	1	(	(	PUNCT
ejpam-864	59	2	6	6	NUM
ejpam-864	59	3	)	)	PUNCT
ejpam-864	59	4	if	if	SCONJ
ejpam-864	59	5	fi	fi	NOUN
ejpam-864	59	6	∈a	∈a	X
ejpam-864	59	7	(	(	PUNCT
ejpam-864	59	8	i=1	i=1	PROPN
ejpam-864	59	9	,	,	PUNCT
ejpam-864	59	10	.	.	PUNCT
ejpam-864	59	11	.	.	PUNCT
ejpam-864	59	12	.	.	PUNCT
ejpam-864	60	1	,	,	PUNCT
ejpam-864	61	1	n	n	CCONJ
ejpam-864	61	2	)	)	PUNCT
ejpam-864	61	3	satisfies	satisfy	VERB
ejpam-864	61	4	the	the	DET
ejpam-864	61	5	inequality	inequality	NOUN
ejpam-864	61	6	(	(	PUNCT
ejpam-864	61	7	4	4	NUM
ejpam-864	61	8	)	)	PUNCT
ejpam-864	61	9	and	and	CCONJ
ejpam-864	61	10	�	�	PROPN
ejpam-864	61	11	�	�	PROPN
ejpam-864	61	12	fi(z	fi(z	PART
ejpam-864	61	13	)	)	PUNCT
ejpam-864	61	14	�	�	PROPN
ejpam-864	61	15	�	�	PROPN
ejpam-864	61	16	≤	≤	PROPN
ejpam-864	61	17	mi	mi	NOUN
ejpam-864	61	18	(	(	PUNCT
ejpam-864	61	19	z	z	PROPN
ejpam-864	61	20	∈	∈	PROPN
ejpam-864	61	21	u	u	NOUN
ejpam-864	61	22	,	,	PUNCT
ejpam-864	61	23	i	i	PRON
ejpam-864	61	24	=	=	NOUN
ejpam-864	61	25	1	1	NUM
ejpam-864	61	26	,	,	PUNCT
ejpam-864	61	27	.	.	PUNCT
ejpam-864	61	28	.	.	PUNCT
ejpam-864	62	1	.	.	PUNCT
ejpam-864	62	2	,	,	PUNCT
ejpam-864	63	1	n	n	CCONJ
ejpam-864	63	2	)	)	PUNCT
ejpam-864	64	1	,	,	PUNCT
ejpam-864	64	2	then	then	ADV
ejpam-864	64	3	the	the	DET
ejpam-864	64	4	integral	integral	ADJ
ejpam-864	64	5	operator	operator	NOUN
ejpam-864	64	6	fα1	fα1	NOUN
ejpam-864	64	7	,	,	PUNCT
ejpam-864	64	8	α2,	α2,	ADJ
ejpam-864	64	9	...	...	PUNCT
ejpam-864	64	10	,αn	,αn	NOUN
ejpam-864	64	11	,	,	PUNCT
ejpam-864	64	12	β(z	β(z	PROPN
ejpam-864	64	13	)	)	PUNCT
ejpam-864	64	14	defined	define	VERB
ejpam-864	64	15	by	by	ADP
ejpam-864	64	16	(	(	PUNCT
ejpam-864	64	17	2	2	X
ejpam-864	64	18	)	)	PUNCT
ejpam-864	64	19	is	be	AUX
ejpam-864	64	20	analytic	analytic	ADJ
ejpam-864	64	21	and	and	CCONJ
ejpam-864	64	22	univalent	univalent	ADJ
ejpam-864	64	23	in	in	ADP
ejpam-864	64	24	u	u	PROPN
ejpam-864	64	25	.	.	PUNCT
ejpam-864	65	1	proof	proof	NOUN
ejpam-864	65	2	.	.	PUNCT
ejpam-864	66	1	define	define	VERB
ejpam-864	66	2	h(z	h(z	NOUN
ejpam-864	66	3	)	)	PUNCT
ejpam-864	66	4	=	=	PUNCT
ejpam-864	66	5	z	z	NOUN
ejpam-864	66	6	∫	∫	PROPN
ejpam-864	66	7	0	0	NUM
ejpam-864	67	1	n	n	CCONJ
ejpam-864	67	2	∏	∏	PROPN
ejpam-864	67	3	i=1	i=1	PROPN
ejpam-864	67	4	�	�	PROPN
ejpam-864	67	5	fi(t	fi(t	NOUN
ejpam-864	67	6	)	)	PUNCT
ejpam-864	67	7	t	t	PROPN
ejpam-864	67	8	�	�	PROPN
ejpam-864	67	9	1	1	NUM
ejpam-864	67	10	αi	αi	NOUN
ejpam-864	67	11	d	d	NOUN
ejpam-864	67	12	t	t	NOUN
ejpam-864	68	1	we	we	PRON
ejpam-864	68	2	observe	observe	VERB
ejpam-864	68	3	that	that	SCONJ
ejpam-864	68	4	h(0	h(0	PROPN
ejpam-864	68	5	)	)	PUNCT
ejpam-864	68	6	=	=	SYM
ejpam-864	68	7	h′(0)−	h′(0)−	X
ejpam-864	68	8	1=	1=	X
ejpam-864	68	9	0	0	NUM
ejpam-864	68	10	.	.	PUNCT
ejpam-864	69	1	on	on	ADP
ejpam-864	69	2	the	the	DET
ejpam-864	69	3	other	other	ADJ
ejpam-864	69	4	hand	hand	NOUN
ejpam-864	69	5	,	,	PUNCT
ejpam-864	69	6	it	it	PRON
ejpam-864	69	7	is	be	AUX
ejpam-864	69	8	easy	easy	ADJ
ejpam-864	69	9	to	to	PART
ejpam-864	69	10	see	see	VERB
ejpam-864	69	11	that	that	PRON
ejpam-864	69	12	h′(z	h′(z	PUNCT
ejpam-864	69	13	)	)	PUNCT
ejpam-864	69	14	=	=	SYM
ejpam-864	70	1	n	n	CCONJ
ejpam-864	70	2	∏	∏	PROPN
ejpam-864	70	3	i=1	i=1	PROPN
ejpam-864	70	4	�	�	PROPN
ejpam-864	70	5	fi(z	fi(z	PART
ejpam-864	70	6	)	)	PUNCT
ejpam-864	70	7	z	z	NOUN
ejpam-864	70	8	�	�	PROPN
ejpam-864	70	9	1	1	NUM
ejpam-864	70	10	αi	αi	ADV
ejpam-864	70	11	.	.	PUNCT
ejpam-864	71	1	(	(	PUNCT
ejpam-864	71	2	7	7	X
ejpam-864	71	3	)	)	PUNCT
ejpam-864	71	4	now	now	ADV
ejpam-864	71	5	we	we	PRON
ejpam-864	71	6	differentiate	differentiate	VERB
ejpam-864	71	7	(	(	PUNCT
ejpam-864	71	8	7	7	NUM
ejpam-864	71	9	)	)	PUNCT
ejpam-864	71	10	logarithmically	logarithmically	ADV
ejpam-864	71	11	and	and	CCONJ
ejpam-864	71	12	multiply	multiply	ADV
ejpam-864	71	13	by	by	ADP
ejpam-864	71	14	z	z	NOUN
ejpam-864	71	15	on	on	ADP
ejpam-864	71	16	both	both	DET
ejpam-864	71	17	sides	side	NOUN
ejpam-864	71	18	,	,	PUNCT
ejpam-864	71	19	we	we	PRON
ejpam-864	71	20	obtain	obtain	VERB
ejpam-864	71	21	zh′′(z	zh′′(z	NOUN
ejpam-864	71	22	)	)	PUNCT
ejpam-864	71	23	h′(z	h′(z	ADV
ejpam-864	71	24	)	)	PUNCT
ejpam-864	71	25	=	=	SYM
ejpam-864	72	1	n	n	CCONJ
ejpam-864	72	2	∑	∑	PUNCT
ejpam-864	72	3	i=1	i=1	PROPN
ejpam-864	72	4	1	1	NUM
ejpam-864	72	5	αi	αi	ADJ
ejpam-864	72	6	�	�	PROPN
ejpam-864	72	7	z	z	PROPN
ejpam-864	72	8	fi	fi	NOUN
ejpam-864	72	9	′(z	′(z	NOUN
ejpam-864	72	10	)	)	PUNCT
ejpam-864	72	11	fi(z	fi(z	PROPN
ejpam-864	72	12	)	)	PUNCT
ejpam-864	73	1	−	−	PROPN
ejpam-864	73	2	1	1	NUM
ejpam-864	73	3	�	�	PROPN
ejpam-864	73	4	.	.	PUNCT
ejpam-864	74	1	(	(	PUNCT
ejpam-864	74	2	8)	8)	NUM
ejpam-864	74	3	b.	b.	PROPN
ejpam-864	74	4	frasin	frasin	PROPN
ejpam-864	74	5	/	/	SYM
ejpam-864	74	6	eur	eur	PROPN
ejpam-864	74	7	.	.	PUNCT
ejpam-864	75	1	j.	j.	PROPN
ejpam-864	75	2	pure	pure	PROPN
ejpam-864	75	3	appl	appl	PROPN
ejpam-864	75	4	.	.	PROPN
ejpam-864	75	5	math	math	PROPN
ejpam-864	75	6	,	,	PUNCT
ejpam-864	75	7	3	3	NUM
ejpam-864	75	8	(	(	PUNCT
ejpam-864	75	9	2010	2010	NUM
ejpam-864	75	10	)	)	PUNCT
ejpam-864	75	11	,	,	PUNCT
ejpam-864	75	12	1141	1141	NUM
ejpam-864	75	13	-	-	SYM
ejpam-864	75	14	1149	1149	NUM
ejpam-864	75	15	1144	1144	NUM
ejpam-864	75	16	since	since	SCONJ
ejpam-864	75	17	�	�	PROPN
ejpam-864	75	18	�	�	PROPN
ejpam-864	75	19	fi(z	fi(z	PART
ejpam-864	75	20	)	)	PUNCT
ejpam-864	75	21	�	�	PROPN
ejpam-864	75	22	�	�	PROPN
ejpam-864	75	23	≤	≤	PROPN
ejpam-864	75	24	mi	mi	PROPN
ejpam-864	75	25	(	(	PUNCT
ejpam-864	75	26	z	z	PROPN
ejpam-864	75	27	∈	∈	PROPN
ejpam-864	75	28	u	u	NOUN
ejpam-864	75	29	,	,	PUNCT
ejpam-864	75	30	i	i	PRON
ejpam-864	75	31	=	=	NOUN
ejpam-864	75	32	1	1	NUM
ejpam-864	75	33	,	,	PUNCT
ejpam-864	75	34	.	.	PUNCT
ejpam-864	75	35	.	.	PUNCT
ejpam-864	76	1	.	.	PUNCT
ejpam-864	76	2	,	,	PUNCT
ejpam-864	77	1	n	n	CCONJ
ejpam-864	77	2	)	)	PUNCT
ejpam-864	77	3	,	,	PUNCT
ejpam-864	77	4	then	then	ADV
ejpam-864	77	5	by	by	ADP
ejpam-864	77	6	the	the	DET
ejpam-864	77	7	general	general	ADJ
ejpam-864	77	8	schwarz	schwarz	PROPN
ejpam-864	77	9	lemma	lemma	PROPN
ejpam-864	77	10	,	,	PUNCT
ejpam-864	77	11	we	we	PRON
ejpam-864	77	12	obtain	obtain	VERB
ejpam-864	77	13	�	�	PROPN
ejpam-864	77	14	�	�	PROPN
ejpam-864	77	15	fi(z	fi(z	PART
ejpam-864	77	16	)	)	PUNCT
ejpam-864	77	17	�	�	PROPN
ejpam-864	77	18	�	�	PROPN
ejpam-864	77	19	≤	≤	PROPN
ejpam-864	77	20	mi	mi	NOUN
ejpam-864	77	21	|z|	|z|	NOUN
ejpam-864	77	22	for	for	ADP
ejpam-864	77	23	all	all	DET
ejpam-864	77	24	z	z	NOUN
ejpam-864	77	25	∈	∈	NOUN
ejpam-864	77	26	u	u	NOUN
ejpam-864	77	27	and	and	CCONJ
ejpam-864	77	28	i	i	NOUN
ejpam-864	77	29	=	=	NOUN
ejpam-864	77	30	1	1	NUM
ejpam-864	77	31	,	,	PUNCT
ejpam-864	77	32	.	.	PUNCT
ejpam-864	77	33	.	.	PUNCT
ejpam-864	78	1	.	.	PUNCT
ejpam-864	79	1	,	,	PUNCT
ejpam-864	79	2	n	n	CCONJ
ejpam-864	79	3	,	,	PUNCT
ejpam-864	79	4	we	we	PRON
ejpam-864	79	5	thus	thus	ADV
ejpam-864	79	6	from	from	ADP
ejpam-864	79	7	(	(	PUNCT
ejpam-864	79	8	4	4	NUM
ejpam-864	79	9	)	)	PUNCT
ejpam-864	79	10	and	and	CCONJ
ejpam-864	79	11	(	(	PUNCT
ejpam-864	79	12	8)	8)	NUM
ejpam-864	79	13	find	find	VERB
ejpam-864	79	14	that	that	SCONJ
ejpam-864	79	15	�	�	PROPN
ejpam-864	79	16	�	�	PROPN
ejpam-864	79	17	�	�	PROPN
ejpam-864	79	18	�	�	PROPN
ejpam-864	79	19	zh′′(z	zh′′(z	NUM
ejpam-864	79	20	)	)	PUNCT
ejpam-864	79	21	h′(z	h′(z	PROPN
ejpam-864	79	22	)	)	PUNCT
ejpam-864	79	23	�	�	PROPN
ejpam-864	79	24	�	�	PROPN
ejpam-864	79	25	�	�	PROPN
ejpam-864	79	26	�	�	PROPN
ejpam-864	79	27	≤	≤	PROPN
ejpam-864	80	1	n	n	CCONJ
ejpam-864	80	2	∑	∑	PROPN
ejpam-864	80	3	i=1	i=1	PROPN
ejpam-864	80	4	1	1	NUM
ejpam-864	80	5	�	�	PROPN
ejpam-864	80	6	�	�	PROPN
ejpam-864	80	7	αi	αi	PROPN
ejpam-864	80	8	�	�	PROPN
ejpam-864	80	9	�	�	PROPN
ejpam-864	80	10	�	�	PROPN
ejpam-864	80	11	�	�	PROPN
ejpam-864	80	12	�	�	PROPN
ejpam-864	80	13	�	�	PROPN
ejpam-864	80	14	�	�	PROPN
ejpam-864	80	15	z	z	PROPN
ejpam-864	80	16	fi	fi	NOUN
ejpam-864	80	17	′(z	′(z	NOUN
ejpam-864	80	18	)	)	PUNCT
ejpam-864	80	19	fi(z	fi(z	VERB
ejpam-864	80	20	)	)	PUNCT
ejpam-864	80	21	�	�	PROPN
ejpam-864	80	22	�	�	PROPN
ejpam-864	80	23	�	�	PROPN
ejpam-864	80	24	�	�	PROPN
ejpam-864	80	25	+	+	CCONJ
ejpam-864	80	26	1	1	NUM
ejpam-864	80	27	�	�	NOUN
ejpam-864	80	28	=	=	SYM
ejpam-864	80	29	n	n	CCONJ
ejpam-864	80	30	∑	∑	ADP
ejpam-864	80	31	i=1	i=1	PROPN
ejpam-864	80	32	1	1	NUM
ejpam-864	80	33	�	�	PROPN
ejpam-864	80	34	�	�	PROPN
ejpam-864	80	35	αi	αi	PROPN
ejpam-864	80	36	�	�	PROPN
ejpam-864	80	37	�	�	PROPN
ejpam-864	80	38	�	�	PROPN
ejpam-864	80	39	�	�	PROPN
ejpam-864	80	40	�	�	PROPN
ejpam-864	80	41	�	�	PROPN
ejpam-864	80	42	�	�	PROPN
ejpam-864	80	43	z2	z2	PROPN
ejpam-864	80	44	fi	fi	NOUN
ejpam-864	80	45	′(z	′(z	NOUN
ejpam-864	80	46	)	)	PUNCT
ejpam-864	80	47	[	[	PUNCT
ejpam-864	80	48	fi(z	fi(z	X
ejpam-864	80	49	)	)	PUNCT
ejpam-864	80	50	]	]	PUNCT
ejpam-864	80	51	2	2	NUM
ejpam-864	80	52	�	�	PROPN
ejpam-864	80	53	�	�	PROPN
ejpam-864	80	54	�	�	PROPN
ejpam-864	80	55	�	�	PROPN
ejpam-864	80	56	�	�	PROPN
ejpam-864	80	57	�	�	PROPN
ejpam-864	80	58	�	�	PROPN
ejpam-864	80	59	�	�	PROPN
ejpam-864	80	60	�	�	PROPN
ejpam-864	80	61	fi(z	fi(z	PART
ejpam-864	80	62	)	)	PUNCT
ejpam-864	80	63	z	z	NOUN
ejpam-864	80	64	�	�	PROPN
ejpam-864	80	65	�	�	PROPN
ejpam-864	80	66	�	�	PROPN
ejpam-864	80	67	�	�	PROPN
ejpam-864	80	68	+	+	CCONJ
ejpam-864	80	69	1	1	NUM
ejpam-864	80	70	!	!	PUNCT
ejpam-864	80	71	≤	≤	NUM
ejpam-864	81	1	n	n	CCONJ
ejpam-864	81	2	∑	∑	ADP
ejpam-864	81	3	i=1	i=1	PROPN
ejpam-864	81	4	1	1	NUM
ejpam-864	81	5	�	�	PROPN
ejpam-864	81	6	�	�	PROPN
ejpam-864	81	7	αi	αi	PROPN
ejpam-864	81	8	�	�	PROPN
ejpam-864	81	9	�	�	PROPN
ejpam-864	81	10	�	�	PROPN
ejpam-864	81	11	�	�	PROPN
ejpam-864	81	12	�	�	PROPN
ejpam-864	81	13	�	�	PROPN
ejpam-864	81	14	�	�	PROPN
ejpam-864	81	15	�	�	PROPN
ejpam-864	81	16	z2	z2	PROPN
ejpam-864	81	17	fi	fi	NOUN
ejpam-864	81	18	′(z	′(z	NOUN
ejpam-864	81	19	)	)	PUNCT
ejpam-864	81	20	[	[	PUNCT
ejpam-864	81	21	fi(z	fi(z	X
ejpam-864	81	22	)	)	PUNCT
ejpam-864	81	23	]	]	PUNCT
ejpam-864	81	24	2	2	NUM
ejpam-864	81	25	−	−	PROPN
ejpam-864	81	26	1	1	NUM
ejpam-864	81	27	�	�	PROPN
ejpam-864	81	28	−	−	PROPN
ejpam-864	81	29	mi	mi	NOUN
ejpam-864	81	30	−	−	PROPN
ejpam-864	81	31	1	1	NUM
ejpam-864	81	32	2	2	NUM
ejpam-864	81	33	|z|mi+1	|z|mi+1	ADP
ejpam-864	81	34	�	�	PROPN
ejpam-864	81	35	�	�	PROPN
ejpam-864	81	36	�	�	PROPN
ejpam-864	81	37	�	�	PROPN
ejpam-864	81	38	�	�	PROPN
ejpam-864	81	39	mi	mi	PROPN
ejpam-864	81	40	+	+	CCONJ
ejpam-864	81	41	�	�	PROPN
ejpam-864	81	42	1	1	NUM
ejpam-864	81	43	+	+	NUM
ejpam-864	81	44	mi	mi	NOUN
ejpam-864	81	45	−	−	PROPN
ejpam-864	81	46	1	1	NUM
ejpam-864	81	47	2	2	NUM
ejpam-864	81	48	|z|mi+1	|z|mi+1	ADP
ejpam-864	81	49	�	�	PROPN
ejpam-864	81	50	mi	mi	PROPN
ejpam-864	81	51	+	+	PROPN
ejpam-864	81	52	1	1	NUM
ejpam-864	81	53	!	!	PUNCT
ejpam-864	81	54	≤	≤	NUM
ejpam-864	82	1	n	n	CCONJ
ejpam-864	82	2	∑	∑	ADP
ejpam-864	82	3	i=1	i=1	PROPN
ejpam-864	82	4	1	1	NUM
ejpam-864	82	5	�	�	PROPN
ejpam-864	82	6	�	�	PROPN
ejpam-864	82	7	αi	αi	PROPN
ejpam-864	82	8	�	�	PROPN
ejpam-864	82	9	�	�	PROPN
ejpam-864	82	10	�	�	PROPN
ejpam-864	82	11	mi	mi	PROPN
ejpam-864	83	1	+	+	CCONJ
ejpam-864	83	2	1	1	NUM
ejpam-864	83	3	2	2	NUM
ejpam-864	83	4	|z|mi+1	|z|mi+1	NOUN
ejpam-864	83	5	mi	mi	PROPN
ejpam-864	83	6	+	+	CCONJ
ejpam-864	83	7	�	�	PROPN
ejpam-864	83	8	1	1	NUM
ejpam-864	83	9	+	+	NUM
ejpam-864	83	10	mi	mi	NOUN
ejpam-864	83	11	−	−	PROPN
ejpam-864	83	12	1	1	NUM
ejpam-864	83	13	2	2	NUM
ejpam-864	83	14	|z|mi+1	|z|mi+1	ADP
ejpam-864	83	15	�	�	PROPN
ejpam-864	83	16	mi	mi	PROPN
ejpam-864	83	17	+	+	CCONJ
ejpam-864	83	18	1	1	NUM
ejpam-864	83	19	�	�	PROPN
ejpam-864	83	20	≤	≤	PROPN
ejpam-864	83	21	n	n	CCONJ
ejpam-864	83	22	∑	∑	PROPN
ejpam-864	83	23	i=1	i=1	PROPN
ejpam-864	83	24	(	(	PUNCT
ejpam-864	83	25	mi	mi	PROPN
ejpam-864	83	26	+	+	CCONJ
ejpam-864	83	27	1)mi	1)mi	NUM
ejpam-864	83	28	+	+	CCONJ
ejpam-864	83	29	1	1	NUM
ejpam-864	83	30	�	�	PROPN
ejpam-864	83	31	�	�	PROPN
ejpam-864	83	32	αi	αi	PROPN
ejpam-864	83	33	�	�	PROPN
ejpam-864	83	34	�	�	PROPN
ejpam-864	83	35	therefore	therefore	ADV
ejpam-864	83	36	,	,	PUNCT
ejpam-864	83	37	we	we	PRON
ejpam-864	83	38	have	have	VERB
ejpam-864	83	39	�	�	PROPN
ejpam-864	83	40	�	�	PROPN
ejpam-864	83	41	�	�	PROPN
ejpam-864	83	42	�	�	PROPN
ejpam-864	83	43	c	c	PROPN
ejpam-864	83	44	|z|2β	|z|2β	X
ejpam-864	84	1	+	+	CCONJ
ejpam-864	84	2	(	(	PUNCT
ejpam-864	84	3	1−	1−	NUM
ejpam-864	84	4	|z|2β	|z|2β	NOUN
ejpam-864	84	5	)	)	PUNCT
ejpam-864	85	1	zh′′(z	zh′′(z	NUM
ejpam-864	85	2	)	)	PUNCT
ejpam-864	85	3	βh′(z	βh′(z	NOUN
ejpam-864	85	4	)	)	PUNCT
ejpam-864	85	5	�	�	PROPN
ejpam-864	85	6	�	�	PROPN
ejpam-864	85	7	�	�	PROPN
ejpam-864	85	8	�	�	PROPN
ejpam-864	85	9	≤	≤	PROPN
ejpam-864	85	10	|c|+	|c|+	NOUN
ejpam-864	85	11	1	1	NUM
ejpam-864	85	12	�	�	PROPN
ejpam-864	85	13	�	�	PROPN
ejpam-864	85	14	β	β	PROPN
ejpam-864	85	15	�	�	PROPN
ejpam-864	85	16	�	�	PROPN
ejpam-864	85	17	�	�	PROPN
ejpam-864	85	18	�	�	PROPN
ejpam-864	85	19	�	�	PROPN
ejpam-864	85	20	�	�	PROPN
ejpam-864	85	21	zh′′(z	zh′′(z	NUM
ejpam-864	85	22	)	)	PUNCT
ejpam-864	85	23	h′(z	h′(z	PROPN
ejpam-864	85	24	)	)	PUNCT
ejpam-864	85	25	�	�	PROPN
ejpam-864	85	26	�	�	PROPN
ejpam-864	85	27	�	�	PROPN
ejpam-864	85	28	�	�	PROPN
ejpam-864	85	29	≤	≤	PROPN
ejpam-864	85	30	|c|+	|c|+	NOUN
ejpam-864	85	31	1	1	NUM
ejpam-864	85	32	�	�	PROPN
ejpam-864	85	33	�	�	PROPN
ejpam-864	85	34	β	β	PROPN
ejpam-864	85	35	�	�	PROPN
ejpam-864	85	36	�	�	PROPN
ejpam-864	85	37	n	n	CCONJ
ejpam-864	85	38	∑	∑	PROPN
ejpam-864	85	39	i=1	i=1	PROPN
ejpam-864	85	40	(	(	PUNCT
ejpam-864	85	41	mi	mi	PROPN
ejpam-864	86	1	+	+	CCONJ
ejpam-864	86	2	1)mi	1)mi	NUM
ejpam-864	86	3	+	+	CCONJ
ejpam-864	86	4	1	1	NUM
ejpam-864	86	5	�	�	PROPN
ejpam-864	86	6	�	�	PROPN
ejpam-864	86	7	αi	αi	PART
ejpam-864	86	8	�	�	PROPN
ejpam-864	86	9	�	�	PROPN
ejpam-864	86	10	≤	≤	PROPN
ejpam-864	86	11	|c|+	|c|+	X
ejpam-864	86	12	1	1	NUM
ejpam-864	86	13	re(β	re(β	NOUN
ejpam-864	86	14	)	)	PUNCT
ejpam-864	86	15	n	n	CCONJ
ejpam-864	86	16	∑	∑	PROPN
ejpam-864	86	17	i=1	i=1	PROPN
ejpam-864	86	18	(	(	PUNCT
ejpam-864	86	19	mi	mi	PROPN
ejpam-864	86	20	+	+	CCONJ
ejpam-864	86	21	1)mi	1)mi	NUM
ejpam-864	86	22	+	+	CCONJ
ejpam-864	86	23	1	1	NUM
ejpam-864	86	24	�	�	PROPN
ejpam-864	86	25	�	�	PROPN
ejpam-864	86	26	αi	αi	PROPN
ejpam-864	86	27	�	�	PROPN
ejpam-864	86	28	�	�	PROPN
ejpam-864	86	29	,	,	PUNCT
ejpam-864	86	30	which	which	PRON
ejpam-864	86	31	,	,	PUNCT
ejpam-864	86	32	in	in	ADP
ejpam-864	86	33	the	the	DET
ejpam-864	86	34	light	light	NOUN
ejpam-864	86	35	of	of	ADP
ejpam-864	86	36	the	the	DET
ejpam-864	86	37	hypothesis	hypothesis	NOUN
ejpam-864	86	38	(	(	PUNCT
ejpam-864	86	39	6	6	NUM
ejpam-864	86	40	)	)	PUNCT
ejpam-864	86	41	,	,	PUNCT
ejpam-864	86	42	yields	yield	VERB
ejpam-864	86	43	�	�	PROPN
ejpam-864	86	44	�	�	PROPN
ejpam-864	86	45	�	�	PROPN
ejpam-864	86	46	�	�	PROPN
ejpam-864	86	47	c	c	PROPN
ejpam-864	86	48	|z|2β	|z|2β	X
ejpam-864	87	1	+	+	CCONJ
ejpam-864	87	2	(	(	PUNCT
ejpam-864	87	3	1−	1−	NUM
ejpam-864	87	4	|z|2β	|z|2β	X
ejpam-864	87	5	)	)	PUNCT
ejpam-864	88	1	zh′′(z	zh′′(z	X
ejpam-864	88	2	)	)	PUNCT
ejpam-864	88	3	βh′(z	βh′(z	NOUN
ejpam-864	88	4	)	)	PUNCT
ejpam-864	88	5	�	�	PROPN
ejpam-864	88	6	�	�	PROPN
ejpam-864	88	7	�	�	PROPN
ejpam-864	88	8	�	�	PROPN
ejpam-864	88	9	≤	≤	PROPN
ejpam-864	88	10	1	1	NUM
ejpam-864	88	11	.	.	PUNCT
ejpam-864	89	1	finally	finally	ADV
ejpam-864	89	2	,	,	PUNCT
ejpam-864	89	3	by	by	ADP
ejpam-864	89	4	applying	apply	VERB
ejpam-864	89	5	lemma	lemma	PROPN
ejpam-864	89	6	2	2	NUM
ejpam-864	89	7	,	,	PUNCT
ejpam-864	89	8	we	we	PRON
ejpam-864	89	9	conclude	conclude	VERB
ejpam-864	89	10	that	that	DET
ejpam-864	89	11	fα1	fα1	NOUN
ejpam-864	89	12	,	,	PUNCT
ejpam-864	89	13	α2,	α2,	ADJ
ejpam-864	89	14	...	...	PUNCT
ejpam-864	89	15	,αn	,αn	NOUN
ejpam-864	89	16	,	,	PUNCT
ejpam-864	90	1	β(z	β(z	PROPN
ejpam-864	90	2	)	)	PUNCT
ejpam-864	90	3	∈	∈	PROPN
ejpam-864	90	4	s	s	PART
ejpam-864	90	5	.	.	PUNCT
ejpam-864	91	1	letting	let	VERB
ejpam-864	91	2	m1	m1	PROPN
ejpam-864	92	1	=	=	SYM
ejpam-864	92	2	m2	m2	PROPN
ejpam-864	92	3	=	=	SYM
ejpam-864	92	4	·	·	PUNCT
ejpam-864	92	5	·	·	PUNCT
ejpam-864	92	6	·	·	PUNCT
ejpam-864	92	7	=	=	SYM
ejpam-864	92	8	mn	mn	PROPN
ejpam-864	92	9	=	=	SYM
ejpam-864	92	10	m	m	VERB
ejpam-864	92	11	in	in	ADP
ejpam-864	92	12	theorem	theorem	NOUN
ejpam-864	92	13	1	1	NUM
ejpam-864	92	14	,	,	PUNCT
ejpam-864	92	15	we	we	PRON
ejpam-864	92	16	have	have	VERB
ejpam-864	92	17	corollary	corollary	ADJ
ejpam-864	92	18	1	1	NUM
ejpam-864	92	19	.	.	PUNCT
ejpam-864	93	1	let	let	VERB
ejpam-864	93	2	αi	αi	PRON
ejpam-864	93	3	∈	∈	PROPN
ejpam-864	93	4	c	c	PROPN
ejpam-864	93	5	mi	mi	PROPN
ejpam-864	93	6	≥	≥	PROPN
ejpam-864	93	7	1	1	NUM
ejpam-864	93	8	for	for	ADP
ejpam-864	93	9	all	all	DET
ejpam-864	93	10	i	i	PRON
ejpam-864	93	11	=	=	NOUN
ejpam-864	93	12	1	1	NUM
ejpam-864	93	13	,	,	PUNCT
ejpam-864	93	14	.	.	PUNCT
ejpam-864	93	15	.	.	PUNCT
ejpam-864	94	1	.	.	PUNCT
ejpam-864	95	1	,	,	PUNCT
ejpam-864	95	2	n	n	CCONJ
ejpam-864	95	3	,	,	PUNCT
ejpam-864	95	4	m	m	VERB
ejpam-864	95	5	>	>	X
ejpam-864	95	6	0	0	PUNCT
ejpam-864	95	7	and	and	CCONJ
ejpam-864	95	8	β	β	X
ejpam-864	95	9	∈	∈	PROPN
ejpam-864	95	10	cwith	cwith	PROPN
ejpam-864	95	11	re(β)≥	re(β)≥	PROPN
ejpam-864	95	12	n	n	PROPN
ejpam-864	95	13	∑	∑	PROPN
ejpam-864	95	14	i=1	i=1	PROPN
ejpam-864	95	15	(	(	PUNCT
ejpam-864	95	16	m+	m+	NUM
ejpam-864	96	1	1)mi	1)mi	NUM
ejpam-864	96	2	+	+	CCONJ
ejpam-864	96	3	1	1	NUM
ejpam-864	96	4	�	�	PROPN
ejpam-864	96	5	�	�	PROPN
ejpam-864	96	6	αi	αi	PROPN
ejpam-864	96	7	�	�	PROPN
ejpam-864	96	8	�	�	PROPN
ejpam-864	96	9	.	.	PUNCT
ejpam-864	97	1	(	(	PUNCT
ejpam-864	97	2	9	9	NUM
ejpam-864	97	3	)	)	PUNCT
ejpam-864	97	4	and	and	CCONJ
ejpam-864	97	5	let	let	VERB
ejpam-864	97	6	c	c	NOUN
ejpam-864	97	7	∈	∈	PROPN
ejpam-864	97	8	c	c	AUX
ejpam-864	97	9	be	be	AUX
ejpam-864	97	10	such	such	ADJ
ejpam-864	97	11	that	that	DET
ejpam-864	97	12	|c|	|c|	PROPN
ejpam-864	97	13	≤	≤	PROPN
ejpam-864	97	14	1−	1−	NUM
ejpam-864	97	15	n	n	CCONJ
ejpam-864	97	16	∑	∑	PROPN
ejpam-864	97	17	i=1	i=1	PROPN
ejpam-864	97	18	(	(	PUNCT
ejpam-864	97	19	m+	m+	NUM
ejpam-864	98	1	1)mi	1)mi	NUM
ejpam-864	98	2	+	+	CCONJ
ejpam-864	98	3	1	1	NUM
ejpam-864	98	4	�	�	PROPN
ejpam-864	98	5	�	�	PROPN
ejpam-864	98	6	αi	αi	PROPN
ejpam-864	98	7	�	�	PROPN
ejpam-864	98	8	�	�	PROPN
ejpam-864	98	9	.	.	PUNCT
ejpam-864	99	1	(	(	PUNCT
ejpam-864	99	2	10	10	NUM
ejpam-864	99	3	)	)	PUNCT
ejpam-864	99	4	b.	b.	PROPN
ejpam-864	99	5	frasin	frasin	PROPN
ejpam-864	99	6	/	/	SYM
ejpam-864	99	7	eur	eur	PROPN
ejpam-864	99	8	.	.	PUNCT
ejpam-864	100	1	j.	j.	PROPN
ejpam-864	100	2	pure	pure	PROPN
ejpam-864	100	3	appl	appl	PROPN
ejpam-864	100	4	.	.	PROPN
ejpam-864	100	5	math	math	PROPN
ejpam-864	100	6	,	,	PUNCT
ejpam-864	100	7	3	3	NUM
ejpam-864	100	8	(	(	PUNCT
ejpam-864	100	9	2010	2010	NUM
ejpam-864	100	10	)	)	PUNCT
ejpam-864	100	11	,	,	PUNCT
ejpam-864	100	12	1141	1141	NUM
ejpam-864	100	13	-	-	SYM
ejpam-864	100	14	1149	1149	NUM
ejpam-864	100	15	1145	1145	NUM
ejpam-864	100	16	if	if	SCONJ
ejpam-864	100	17	fi	fi	NOUN
ejpam-864	100	18	∈a	∈a	NUM
ejpam-864	100	19	(	(	PUNCT
ejpam-864	100	20	i	i	NOUN
ejpam-864	100	21	=	=	NOUN
ejpam-864	100	22	1	1	NUM
ejpam-864	100	23	,	,	PUNCT
ejpam-864	100	24	.	.	PUNCT
ejpam-864	100	25	.	.	PUNCT
ejpam-864	101	1	.	.	PUNCT
ejpam-864	102	1	,	,	PUNCT
ejpam-864	103	1	n	n	CCONJ
ejpam-864	103	2	)	)	PUNCT
ejpam-864	103	3	satisfies	satisfy	VERB
ejpam-864	103	4	the	the	DET
ejpam-864	103	5	inequality	inequality	NOUN
ejpam-864	103	6	(	(	PUNCT
ejpam-864	103	7	4	4	NUM
ejpam-864	103	8	)	)	PUNCT
ejpam-864	103	9	and	and	CCONJ
ejpam-864	103	10	�	�	PROPN
ejpam-864	103	11	�	�	PROPN
ejpam-864	103	12	fi(z	fi(z	PART
ejpam-864	103	13	)	)	PUNCT
ejpam-864	103	14	�	�	PROPN
ejpam-864	103	15	�	�	PROPN
ejpam-864	103	16	≤	≤	PROPN
ejpam-864	103	17	mi	mi	NOUN
ejpam-864	103	18	(	(	PUNCT
ejpam-864	103	19	z	z	PROPN
ejpam-864	103	20	∈	∈	PROPN
ejpam-864	103	21	u	u	NOUN
ejpam-864	103	22	,	,	PUNCT
ejpam-864	103	23	i	i	PRON
ejpam-864	103	24	=	=	NOUN
ejpam-864	103	25	1	1	NUM
ejpam-864	103	26	,	,	PUNCT
ejpam-864	103	27	.	.	PUNCT
ejpam-864	103	28	.	.	PUNCT
ejpam-864	104	1	.	.	PUNCT
ejpam-864	104	2	,	,	PUNCT
ejpam-864	105	1	n	n	CCONJ
ejpam-864	105	2	)	)	PUNCT
ejpam-864	106	1	,	,	PUNCT
ejpam-864	106	2	then	then	ADV
ejpam-864	106	3	the	the	DET
ejpam-864	106	4	integral	integral	ADJ
ejpam-864	106	5	operator	operator	NOUN
ejpam-864	106	6	fα1	fα1	NOUN
ejpam-864	106	7	,	,	PUNCT
ejpam-864	106	8	α2,	α2,	ADJ
ejpam-864	106	9	...	...	PUNCT
ejpam-864	106	10	,αn	,αn	NOUN
ejpam-864	106	11	,	,	PUNCT
ejpam-864	106	12	β(z	β(z	PROPN
ejpam-864	106	13	)	)	PUNCT
ejpam-864	106	14	defined	define	VERB
ejpam-864	106	15	by	by	ADP
ejpam-864	106	16	(	(	PUNCT
ejpam-864	106	17	2	2	X
ejpam-864	106	18	)	)	PUNCT
ejpam-864	106	19	is	be	AUX
ejpam-864	106	20	analytic	analytic	ADJ
ejpam-864	106	21	and	and	CCONJ
ejpam-864	106	22	univalent	univalent	ADJ
ejpam-864	106	23	in	in	ADP
ejpam-864	106	24	u	u	PROPN
ejpam-864	106	25	.	.	PUNCT
ejpam-864	107	1	remark	remark	PROPN
ejpam-864	107	2	1	1	NUM
ejpam-864	107	3	.	.	PUNCT
ejpam-864	108	1	if	if	SCONJ
ejpam-864	108	2	we	we	PRON
ejpam-864	108	3	put	put	VERB
ejpam-864	108	4	m=	m=	X
ejpam-864	108	5	1	1	NUM
ejpam-864	108	6	in	in	ADP
ejpam-864	108	7	corollary	corollary	ADJ
ejpam-864	108	8	1	1	NUM
ejpam-864	108	9	,	,	PUNCT
ejpam-864	108	10	we	we	PRON
ejpam-864	108	11	obtain	obtain	AUX
ejpam-864	108	12	theorem	theorem	VERB
ejpam-864	108	13	2.1	2.1	NUM
ejpam-864	108	14	in	in	ADP
ejpam-864	108	15	[	[	X
ejpam-864	108	16	5	5	NUM
ejpam-864	108	17	]	]	PUNCT
ejpam-864	108	18	.	.	PUNCT
ejpam-864	109	1	letting	let	VERB
ejpam-864	109	2	α1	α1	PROPN
ejpam-864	109	3	=	=	SYM
ejpam-864	109	4	α2	α2	PROPN
ejpam-864	109	5	=	=	SYM
ejpam-864	109	6	·	·	PUNCT
ejpam-864	109	7	·	·	PUNCT
ejpam-864	109	8	·	·	PUNCT
ejpam-864	109	9	=	=	SYM
ejpam-864	109	10	αn	αn	NOUN
ejpam-864	109	11	=	=	SYM
ejpam-864	109	12	α	α	PROPN
ejpam-864	109	13	and	and	CCONJ
ejpam-864	109	14	m1	m1	PROPN
ejpam-864	109	15	=	=	SYM
ejpam-864	109	16	m2	m2	PROPN
ejpam-864	109	17	=	=	SYM
ejpam-864	109	18	·	·	PUNCT
ejpam-864	109	19	·	·	PUNCT
ejpam-864	109	20	·	·	PUNCT
ejpam-864	110	1	=	=	SYM
ejpam-864	110	2	mn	mn	PROPN
ejpam-864	110	3	=	=	PUNCT
ejpam-864	110	4	m	m	VERB
ejpam-864	110	5	in	in	ADP
ejpam-864	110	6	corollary	corollary	ADJ
ejpam-864	110	7	1	1	NUM
ejpam-864	110	8	,	,	PUNCT
ejpam-864	110	9	we	we	PRON
ejpam-864	110	10	have	have	VERB
ejpam-864	110	11	corollary	corollary	ADJ
ejpam-864	110	12	2	2	NUM
ejpam-864	110	13	.	.	PUNCT
ejpam-864	111	1	let	let	VERB
ejpam-864	111	2	α	α	PRON
ejpam-864	111	3	∈	∈	PROPN
ejpam-864	111	4	c	c	X
ejpam-864	111	5	,	,	PUNCT
ejpam-864	111	6	m	m	VERB
ejpam-864	111	7	≥	≥	NOUN
ejpam-864	111	8	1	1	NUM
ejpam-864	111	9	,	,	PUNCT
ejpam-864	111	10	m	m	VERB
ejpam-864	111	11	>	>	X
ejpam-864	111	12	0	0	PUNCT
ejpam-864	112	1	and	and	CCONJ
ejpam-864	112	2	β	β	X
ejpam-864	112	3	∈	∈	PROPN
ejpam-864	112	4	c	c	NOUN
ejpam-864	112	5	with	with	ADP
ejpam-864	112	6	re(β)≥	re(β)≥	NOUN
ejpam-864	112	7	n(m+	n(m+	NOUN
ejpam-864	112	8	1)m	1)m	NUM
ejpam-864	112	9	+	+	CCONJ
ejpam-864	112	10	n	n	CCONJ
ejpam-864	112	11	|α|	|α|	PROPN
ejpam-864	112	12	.	.	PUNCT
ejpam-864	113	1	(	(	PUNCT
ejpam-864	113	2	11	11	NUM
ejpam-864	113	3	)	)	PUNCT
ejpam-864	113	4	and	and	CCONJ
ejpam-864	113	5	let	let	VERB
ejpam-864	113	6	c	c	NOUN
ejpam-864	113	7	∈	∈	PROPN
ejpam-864	113	8	c	c	AUX
ejpam-864	113	9	be	be	AUX
ejpam-864	113	10	such	such	ADJ
ejpam-864	113	11	that	that	DET
ejpam-864	113	12	|c|	|c|	PROPN
ejpam-864	113	13	≤	≤	ADV
ejpam-864	113	14	1−	1−	NUM
ejpam-864	113	15	n(m+	n(m+	NUM
ejpam-864	113	16	1)m	1)m	NUM
ejpam-864	113	17	+	+	CCONJ
ejpam-864	113	18	n	n	PRON
ejpam-864	113	19	|α|re(β	|α|re(β	NOUN
ejpam-864	113	20	)	)	PUNCT
ejpam-864	113	21	.	.	PUNCT
ejpam-864	114	1	(	(	PUNCT
ejpam-864	114	2	12	12	NUM
ejpam-864	114	3	)	)	PUNCT
ejpam-864	114	4	if	if	SCONJ
ejpam-864	114	5	fi	fi	NOUN
ejpam-864	114	6	∈a	∈a	NUM
ejpam-864	114	7	(	(	PUNCT
ejpam-864	114	8	i	i	NOUN
ejpam-864	114	9	=	=	NOUN
ejpam-864	114	10	1	1	NUM
ejpam-864	114	11	,	,	PUNCT
ejpam-864	114	12	.	.	PUNCT
ejpam-864	114	13	.	.	PUNCT
ejpam-864	115	1	.	.	PUNCT
ejpam-864	116	1	,	,	PUNCT
ejpam-864	117	1	n	n	CCONJ
ejpam-864	117	2	)	)	PUNCT
ejpam-864	117	3	satisfies	satisfy	VERB
ejpam-864	117	4	the	the	DET
ejpam-864	117	5	inequality	inequality	NOUN
ejpam-864	117	6	(	(	PUNCT
ejpam-864	117	7	4	4	NUM
ejpam-864	117	8	)	)	PUNCT
ejpam-864	117	9	and	and	CCONJ
ejpam-864	117	10	�	�	PROPN
ejpam-864	117	11	�	�	PROPN
ejpam-864	117	12	fi(z	fi(z	PART
ejpam-864	117	13	)	)	PUNCT
ejpam-864	117	14	�	�	PROPN
ejpam-864	117	15	�	�	PROPN
ejpam-864	117	16	≤	≤	NUM
ejpam-864	117	17	m	m	VERB
ejpam-864	117	18	(	(	PUNCT
ejpam-864	117	19	z	z	NOUN
ejpam-864	117	20	∈	∈	PROPN
ejpam-864	117	21	u	u	NOUN
ejpam-864	117	22	,	,	PUNCT
ejpam-864	117	23	i	i	PRON
ejpam-864	117	24	=	=	NOUN
ejpam-864	117	25	1	1	NUM
ejpam-864	117	26	,	,	PUNCT
ejpam-864	117	27	.	.	PUNCT
ejpam-864	117	28	.	.	PUNCT
ejpam-864	118	1	.	.	PUNCT
ejpam-864	118	2	,	,	PUNCT
ejpam-864	119	1	n	n	CCONJ
ejpam-864	119	2	)	)	PUNCT
ejpam-864	120	1	,	,	PUNCT
ejpam-864	120	2	then	then	ADV
ejpam-864	120	3	the	the	DET
ejpam-864	120	4	integral	integral	ADJ
ejpam-864	120	5	operator	operator	NOUN
ejpam-864	120	6	fα	fα	ADP
ejpam-864	120	7	,	,	PUNCT
ejpam-864	120	8	β	β	X
ejpam-864	120	9	(	(	PUNCT
ejpam-864	120	10	z	z	NOUN
ejpam-864	120	11	)	)	PUNCT
ejpam-864	120	12	=	=	PUNCT
ejpam-864	121	1			PROPN
ejpam-864	121	2			PROPN
ejpam-864	121	3			PROPN
ejpam-864	121	4	z	z	PROPN
ejpam-864	121	5	∫	∫	PROPN
ejpam-864	121	6	0	0	PUNCT
ejpam-864	121	7	β	β	X
ejpam-864	121	8	tβ−1	tβ−1	PROPN
ejpam-864	121	9	n	n	CCONJ
ejpam-864	121	10	∏	∏	PROPN
ejpam-864	121	11	i=1	i=1	PROPN
ejpam-864	121	12	�	�	PROPN
ejpam-864	121	13	fi(t	fi(t	NOUN
ejpam-864	121	14	)	)	PUNCT
ejpam-864	121	15	t	t	PROPN
ejpam-864	121	16	�	�	PROPN
ejpam-864	121	17	1	1	NUM
ejpam-864	121	18	α	α	PROPN
ejpam-864	121	19	d	d	PROPN
ejpam-864	121	20	t	t	PROPN
ejpam-864	121	21			PROPN
ejpam-864	121	22			PROPN
ejpam-864	121	23			NOUN
ejpam-864	121	24	1	1	NUM
ejpam-864	121	25	β	β	NOUN
ejpam-864	121	26	is	be	AUX
ejpam-864	121	27	analytic	analytic	ADJ
ejpam-864	121	28	and	and	CCONJ
ejpam-864	121	29	univalent	univalent	ADJ
ejpam-864	121	30	in	in	ADP
ejpam-864	121	31	u	u	PROPN
ejpam-864	121	32	.	.	PUNCT
ejpam-864	122	1	letting	let	VERB
ejpam-864	122	2	n=	n=	ADJ
ejpam-864	122	3	1	1	NUM
ejpam-864	122	4	,	,	PUNCT
ejpam-864	122	5	α1	α1	PROPN
ejpam-864	122	6	=	=	SYM
ejpam-864	122	7	α	α	PROPN
ejpam-864	122	8	,	,	PUNCT
ejpam-864	122	9	m1	m1	PROPN
ejpam-864	122	10	=	=	SYM
ejpam-864	122	11	m	m	PROPN
ejpam-864	122	12	,	,	PUNCT
ejpam-864	122	13	m1	m1	PROPN
ejpam-864	122	14	=	=	PUNCT
ejpam-864	122	15	m	m	PROPN
ejpam-864	122	16	and	and	CCONJ
ejpam-864	122	17	f1	f1	NOUN
ejpam-864	122	18	=	=	SYM
ejpam-864	122	19	f	f	PROPN
ejpam-864	122	20	in	in	ADP
ejpam-864	122	21	theorem	theorem	NOUN
ejpam-864	122	22	1	1	NUM
ejpam-864	122	23	,	,	PUNCT
ejpam-864	122	24	we	we	PRON
ejpam-864	122	25	have	have	VERB
ejpam-864	122	26	corollary	corollary	ADJ
ejpam-864	122	27	3	3	NUM
ejpam-864	122	28	.	.	PUNCT
ejpam-864	123	1	let	let	VERB
ejpam-864	123	2	α	α	PRON
ejpam-864	123	3	∈	∈	PROPN
ejpam-864	123	4	c	c	X
ejpam-864	123	5	,	,	PUNCT
ejpam-864	123	6	m	m	VERB
ejpam-864	123	7	≥	≥	NOUN
ejpam-864	123	8	1	1	NUM
ejpam-864	123	9	,	,	PUNCT
ejpam-864	123	10	m	m	VERB
ejpam-864	123	11	>	>	X
ejpam-864	123	12	0	0	PUNCT
ejpam-864	124	1	and	and	CCONJ
ejpam-864	124	2	β	β	X
ejpam-864	124	3	∈	∈	PROPN
ejpam-864	124	4	c	c	NOUN
ejpam-864	124	5	with	with	ADP
ejpam-864	124	6	re(β)≥	re(β)≥	PROPN
ejpam-864	124	7	(	(	PUNCT
ejpam-864	124	8	m+	m+	NOUN
ejpam-864	124	9	1)m	1)m	NUM
ejpam-864	124	10	+	+	CCONJ
ejpam-864	124	11	1	1	NUM
ejpam-864	124	12	|α|	|α|	NOUN
ejpam-864	124	13	.	.	PUNCT
ejpam-864	125	1	(	(	PUNCT
ejpam-864	125	2	13	13	NUM
ejpam-864	125	3	)	)	PUNCT
ejpam-864	126	1	and	and	CCONJ
ejpam-864	126	2	let	let	VERB
ejpam-864	126	3	c	c	NOUN
ejpam-864	126	4	∈	∈	PROPN
ejpam-864	126	5	c	c	AUX
ejpam-864	126	6	be	be	AUX
ejpam-864	126	7	such	such	ADJ
ejpam-864	126	8	that	that	DET
ejpam-864	126	9	|c|	|c|	PROPN
ejpam-864	126	10	≤	≤	ADV
ejpam-864	126	11	1−	1−	NUM
ejpam-864	126	12	(	(	PUNCT
ejpam-864	126	13	m+	m+	NUM
ejpam-864	126	14	1)m	1)m	NUM
ejpam-864	126	15	+	+	CCONJ
ejpam-864	126	16	1	1	NUM
ejpam-864	126	17	|α|re(β	|α|re(β	NOUN
ejpam-864	126	18	)	)	PUNCT
ejpam-864	126	19	.	.	PUNCT
ejpam-864	127	1	(	(	PUNCT
ejpam-864	127	2	14	14	NUM
ejpam-864	127	3	)	)	PUNCT
ejpam-864	127	4	if	if	SCONJ
ejpam-864	127	5	f	f	PROPN
ejpam-864	127	6	∈	∈	PROPN
ejpam-864	127	7	a	a	DET
ejpam-864	127	8	satisfies	satisfie	NOUN
ejpam-864	127	9	the	the	DET
ejpam-864	127	10	inequality	inequality	NOUN
ejpam-864	127	11	(	(	PUNCT
ejpam-864	127	12	4	4	NUM
ejpam-864	127	13	)	)	PUNCT
ejpam-864	127	14	and	and	CCONJ
ejpam-864	127	15	�	�	PROPN
ejpam-864	127	16	�	�	PROPN
ejpam-864	127	17	f	f	PROPN
ejpam-864	127	18	(	(	PUNCT
ejpam-864	127	19	z	z	PROPN
ejpam-864	127	20	)	)	PUNCT
ejpam-864	127	21	�	�	PROPN
ejpam-864	127	22	�	�	PROPN
ejpam-864	127	23	≤	≤	NUM
ejpam-864	127	24	m	m	VERB
ejpam-864	127	25	(	(	PUNCT
ejpam-864	127	26	z	z	NOUN
ejpam-864	127	27	∈	∈	PROPN
ejpam-864	127	28	u	u	PROPN
ejpam-864	127	29	)	)	PUNCT
ejpam-864	127	30	,	,	PUNCT
ejpam-864	127	31	then	then	ADV
ejpam-864	127	32	the	the	DET
ejpam-864	127	33	integral	integral	ADJ
ejpam-864	127	34	operator	operator	NOUN
ejpam-864	127	35	fα	fα	ADP
ejpam-864	127	36	,	,	PUNCT
ejpam-864	127	37	β(z	β(z	PROPN
ejpam-864	127	38	)	)	PUNCT
ejpam-864	127	39	=	=	PUNCT
ejpam-864	128	1			PROPN
ejpam-864	128	2			PROPN
ejpam-864	128	3			PROPN
ejpam-864	128	4	z	z	PROPN
ejpam-864	128	5	∫	∫	PROPN
ejpam-864	128	6	0	0	PUNCT
ejpam-864	128	7	β	β	X
ejpam-864	128	8	tβ−1	tβ−1	PROPN
ejpam-864	128	9	�	�	PROPN
ejpam-864	128	10	f	f	PROPN
ejpam-864	128	11	(	(	PUNCT
ejpam-864	128	12	t	t	PROPN
ejpam-864	128	13	)	)	PUNCT
ejpam-864	128	14	t	t	PROPN
ejpam-864	128	15	�	�	PROPN
ejpam-864	128	16	1	1	NUM
ejpam-864	128	17	α	α	PROPN
ejpam-864	128	18	d	d	PROPN
ejpam-864	128	19	t	t	PROPN
ejpam-864	128	20			PROPN
ejpam-864	128	21			PROPN
ejpam-864	128	22			NOUN
ejpam-864	128	23	1	1	NUM
ejpam-864	128	24	β	β	NOUN
ejpam-864	128	25	defined	define	VERB
ejpam-864	128	26	by	by	ADP
ejpam-864	128	27	(	(	PUNCT
ejpam-864	128	28	2	2	X
ejpam-864	128	29	)	)	PUNCT
ejpam-864	128	30	is	be	AUX
ejpam-864	128	31	analytic	analytic	ADJ
ejpam-864	128	32	and	and	CCONJ
ejpam-864	128	33	univalent	univalent	ADJ
ejpam-864	128	34	in	in	ADP
ejpam-864	128	35	u	u	PROPN
ejpam-864	128	36	.	.	PUNCT
ejpam-864	129	1	b.	b.	PROPN
ejpam-864	129	2	frasin	frasin	PROPN
ejpam-864	129	3	/	/	SYM
ejpam-864	129	4	eur	eur	PROPN
ejpam-864	129	5	.	.	PUNCT
ejpam-864	130	1	j.	j.	PROPN
ejpam-864	130	2	pure	pure	PROPN
ejpam-864	130	3	appl	appl	PROPN
ejpam-864	130	4	.	.	PROPN
ejpam-864	130	5	math	math	PROPN
ejpam-864	130	6	,	,	PUNCT
ejpam-864	130	7	3	3	NUM
ejpam-864	130	8	(	(	PUNCT
ejpam-864	130	9	2010	2010	NUM
ejpam-864	130	10	)	)	PUNCT
ejpam-864	130	11	,	,	PUNCT
ejpam-864	130	12	1141	1141	NUM
ejpam-864	130	13	-	-	SYM
ejpam-864	130	14	1149	1149	NUM
ejpam-864	130	15	1146	1146	NUM
ejpam-864	130	16	3	3	NUM
ejpam-864	130	17	.	.	PUNCT
ejpam-864	131	1	univalence	univalence	NOUN
ejpam-864	131	2	conditions	condition	NOUN
ejpam-864	131	3	for	for	ADP
ejpam-864	131	4	gn	gn	PROPN
ejpam-864	131	5	,	,	PUNCT
ejpam-864	131	6	β(z	β(z	PROPN
ejpam-864	131	7	)	)	PUNCT
ejpam-864	132	1	next	next	ADV
ejpam-864	132	2	,	,	PUNCT
ejpam-864	132	3	we	we	PRON
ejpam-864	132	4	prove	prove	VERB
ejpam-864	132	5	theorem	theorem	ADJ
ejpam-864	132	6	2	2	X
ejpam-864	132	7	.	.	PUNCT
ejpam-864	133	1	let	let	VERB
ejpam-864	133	2	mi	mi	PROPN
ejpam-864	133	3	≥	≥	PROPN
ejpam-864	133	4	1	1	NUM
ejpam-864	133	5	,	,	PUNCT
ejpam-864	133	6	mi	mi	X
ejpam-864	133	7	>	>	X
ejpam-864	133	8	0	0	PUNCT
ejpam-864	133	9	for	for	ADP
ejpam-864	133	10	all	all	DET
ejpam-864	133	11	i	i	PRON
ejpam-864	133	12	=	=	NOUN
ejpam-864	133	13	1	1	NUM
ejpam-864	133	14	,	,	PUNCT
ejpam-864	133	15	.	.	PUNCT
ejpam-864	133	16	.	.	PUNCT
ejpam-864	134	1	.	.	PUNCT
ejpam-864	135	1	,	,	PUNCT
ejpam-864	135	2	n	n	PROPN
ejpam-864	135	3	and	and	CCONJ
ejpam-864	135	4	β	β	X
ejpam-864	135	5	≥	≥	NUM
ejpam-864	135	6	1	1	NUM
ejpam-864	135	7	with	with	ADP
ejpam-864	135	8	�	�	PROPN
ejpam-864	135	9	β	β	NOUN
ejpam-864	135	10	−	−	PROPN
ejpam-864	135	11	1	1	NUM
ejpam-864	135	12	β	β	X
ejpam-864	135	13	�	�	PROPN
ejpam-864	135	14	n	n	CCONJ
ejpam-864	135	15	∑	∑	PROPN
ejpam-864	135	16	i=1	i=1	PROPN
ejpam-864	136	1	[	[	X
ejpam-864	136	2	(	(	PUNCT
ejpam-864	136	3	mi	mi	NOUN
ejpam-864	136	4	+	+	CCONJ
ejpam-864	136	5	1)mi	1)mi	NUM
ejpam-864	137	1	+	+	CCONJ
ejpam-864	137	2	1]≤	1]≤	NUM
ejpam-864	137	3	1	1	NUM
ejpam-864	137	4	.	.	PUNCT
ejpam-864	138	1	(	(	PUNCT
ejpam-864	138	2	15	15	NUM
ejpam-864	138	3	)	)	PUNCT
ejpam-864	138	4	and	and	CCONJ
ejpam-864	138	5	let	let	VERB
ejpam-864	138	6	c	c	NOUN
ejpam-864	138	7	∈	∈	PROPN
ejpam-864	138	8	c	c	AUX
ejpam-864	138	9	be	be	AUX
ejpam-864	138	10	such	such	ADJ
ejpam-864	138	11	that	that	SCONJ
ejpam-864	138	12	|c|	|c|	PROPN
ejpam-864	138	13	≤	≤	ADV
ejpam-864	138	14	1	1	NUM
ejpam-864	138	15	+	+	NUM
ejpam-864	138	16	�	�	PROPN
ejpam-864	138	17	1−	1−	NUM
ejpam-864	138	18	β	β	X
ejpam-864	138	19	β	β	X
ejpam-864	138	20	�	�	PROPN
ejpam-864	138	21	n	n	CCONJ
ejpam-864	138	22	∑	∑	PROPN
ejpam-864	138	23	i=1	i=1	PROPN
ejpam-864	139	1	[	[	X
ejpam-864	139	2	(	(	PUNCT
ejpam-864	139	3	mi	mi	NOUN
ejpam-864	139	4	+	+	CCONJ
ejpam-864	139	5	1)mi	1)mi	NUM
ejpam-864	140	1	+	+	NUM
ejpam-864	140	2	1	1	NUM
ejpam-864	140	3	]	]	PUNCT
ejpam-864	140	4	.	.	PUNCT
ejpam-864	141	1	(	(	PUNCT
ejpam-864	141	2	16	16	NUM
ejpam-864	141	3	)	)	PUNCT
ejpam-864	141	4	if	if	SCONJ
ejpam-864	141	5	fi	fi	NOUN
ejpam-864	141	6	∈a	∈a	X
ejpam-864	141	7	(	(	PUNCT
ejpam-864	141	8	i=1	i=1	PROPN
ejpam-864	141	9	,	,	PUNCT
ejpam-864	141	10	.	.	PUNCT
ejpam-864	141	11	.	.	PUNCT
ejpam-864	141	12	.	.	PUNCT
ejpam-864	141	13	,	,	PUNCT
ejpam-864	141	14	n	n	CCONJ
ejpam-864	141	15	)	)	PUNCT
ejpam-864	141	16	satisfies	satisfy	VERB
ejpam-864	141	17	the	the	DET
ejpam-864	141	18	inequality	inequality	NOUN
ejpam-864	141	19	(	(	PUNCT
ejpam-864	141	20	4	4	NUM
ejpam-864	141	21	)	)	PUNCT
ejpam-864	141	22	and	and	CCONJ
ejpam-864	141	23	�	�	PROPN
ejpam-864	141	24	�	�	PROPN
ejpam-864	141	25	fi(z	fi(z	PART
ejpam-864	141	26	)	)	PUNCT
ejpam-864	141	27	�	�	PROPN
ejpam-864	141	28	�	�	PROPN
ejpam-864	141	29	≤	≤	PROPN
ejpam-864	141	30	mi	mi	NOUN
ejpam-864	141	31	(	(	PUNCT
ejpam-864	141	32	z	z	PROPN
ejpam-864	141	33	∈	∈	PROPN
ejpam-864	141	34	u	u	NOUN
ejpam-864	141	35	,	,	PUNCT
ejpam-864	141	36	i	i	PRON
ejpam-864	141	37	=	=	NOUN
ejpam-864	141	38	1	1	NUM
ejpam-864	141	39	,	,	PUNCT
ejpam-864	141	40	.	.	PUNCT
ejpam-864	141	41	.	.	PUNCT
ejpam-864	142	1	.	.	PUNCT
ejpam-864	142	2	,	,	PUNCT
ejpam-864	143	1	n	n	CCONJ
ejpam-864	143	2	)	)	PUNCT
ejpam-864	144	1	,	,	PUNCT
ejpam-864	144	2	then	then	ADV
ejpam-864	144	3	the	the	DET
ejpam-864	144	4	integral	integral	ADJ
ejpam-864	144	5	operator	operator	NOUN
ejpam-864	144	6	gn	gn	PROPN
ejpam-864	144	7	,	,	PUNCT
ejpam-864	144	8	β	β	X
ejpam-864	144	9	(	(	PUNCT
ejpam-864	144	10	z	z	NOUN
ejpam-864	144	11	)	)	PUNCT
ejpam-864	144	12	defined	define	VERB
ejpam-864	144	13	by	by	ADP
ejpam-864	144	14	(	(	PUNCT
ejpam-864	144	15	2	2	X
ejpam-864	144	16	)	)	PUNCT
ejpam-864	144	17	is	be	AUX
ejpam-864	144	18	analytic	analytic	ADJ
ejpam-864	144	19	and	and	CCONJ
ejpam-864	144	20	univalent	univalent	ADJ
ejpam-864	144	21	in	in	ADP
ejpam-864	144	22	u	u	PROPN
ejpam-864	144	23	.	.	PUNCT
ejpam-864	145	1	proof	proof	NOUN
ejpam-864	145	2	.	.	PUNCT
ejpam-864	146	1	setting	set	VERB
ejpam-864	146	2	h(z	h(z	NOUN
ejpam-864	146	3	)	)	PUNCT
ejpam-864	146	4	=	=	PUNCT
ejpam-864	146	5	z	z	NOUN
ejpam-864	146	6	∫	∫	PROPN
ejpam-864	146	7	0	0	NUM
ejpam-864	146	8	n	n	CCONJ
ejpam-864	146	9	∏	∏	PROPN
ejpam-864	146	10	i=1	i=1	PROPN
ejpam-864	146	11	�	�	PROPN
ejpam-864	146	12	fi(t	fi(t	PROPN
ejpam-864	146	13	)	)	PUNCT
ejpam-864	146	14	t	t	PROPN
ejpam-864	146	15	�	�	PROPN
ejpam-864	146	16	β−1	β−1	PROPN
ejpam-864	146	17	d	d	PROPN
ejpam-864	146	18	t	t	PROPN
ejpam-864	146	19	so	so	SCONJ
ejpam-864	146	20	that	that	SCONJ
ejpam-864	146	21	,	,	PUNCT
ejpam-864	146	22	h′(z	h′(z	PROPN
ejpam-864	146	23	)	)	PUNCT
ejpam-864	146	24	=	=	SYM
ejpam-864	147	1	n	n	CCONJ
ejpam-864	147	2	∏	∏	PROPN
ejpam-864	147	3	i=1	i=1	PROPN
ejpam-864	147	4	�	�	PROPN
ejpam-864	147	5	fi(z	fi(z	PART
ejpam-864	147	6	)	)	PUNCT
ejpam-864	147	7	z	z	PROPN
ejpam-864	147	8	�	�	PROPN
ejpam-864	147	9	β−1	β−1	PUNCT
ejpam-864	147	10	.	.	PUNCT
ejpam-864	148	1	(	(	PUNCT
ejpam-864	148	2	17	17	NUM
ejpam-864	148	3	)	)	PUNCT
ejpam-864	148	4	and	and	CCONJ
ejpam-864	148	5	h′′(z	h′′(z	ADV
ejpam-864	148	6	)	)	PUNCT
ejpam-864	148	7	=	=	PUNCT
ejpam-864	149	1	(	(	PUNCT
ejpam-864	149	2	β	β	NOUN
ejpam-864	149	3	−	−	NOUN
ejpam-864	149	4	1	1	NUM
ejpam-864	149	5	)	)	PUNCT
ejpam-864	149	6	.	.	PUNCT
ejpam-864	150	1	n	n	X
ejpam-864	150	2	∑	∑	PUNCT
ejpam-864	150	3	i=1	i=1	PROPN
ejpam-864	150	4	�	�	PROPN
ejpam-864	150	5	fi(z	fi(z	PART
ejpam-864	150	6	)	)	PUNCT
ejpam-864	150	7	z	z	PROPN
ejpam-864	150	8	�	�	PROPN
ejpam-864	150	9	β−2	β−2	PROPN
ejpam-864	150	10	�	�	PROPN
ejpam-864	150	11	z	z	PROPN
ejpam-864	150	12	fi	fi	NOUN
ejpam-864	151	1	−	−	PROPN
ejpam-864	151	2	fi	fi	NOUN
ejpam-864	151	3	z2	z2	PROPN
ejpam-864	151	4	�	�	PROPN
ejpam-864	151	5	.	.	PUNCT
ejpam-864	152	1	n	n	CCONJ
ejpam-864	152	2	∏	∏	PROPN
ejpam-864	152	3	k=1(k	k=1(k	NOUN
ejpam-864	152	4	6	6	NUM
ejpam-864	152	5	=	=	NOUN
ejpam-864	152	6	i	i	NOUN
ejpam-864	152	7	)	)	PUNCT
ejpam-864	152	8	�	�	PROPN
ejpam-864	152	9	fk(z	fk(z	NUM
ejpam-864	152	10	)	)	PUNCT
ejpam-864	152	11	z	z	PROPN
ejpam-864	152	12	�	�	PROPN
ejpam-864	152	13	β−1	β−1	PUNCT
ejpam-864	152	14	.	.	PUNCT
ejpam-864	153	1	(	(	PUNCT
ejpam-864	153	2	18	18	NUM
ejpam-864	153	3	)	)	PUNCT
ejpam-864	153	4	it	it	PRON
ejpam-864	153	5	follows	follow	VERB
ejpam-864	153	6	from	from	ADP
ejpam-864	153	7	(	(	PUNCT
ejpam-864	153	8	17	17	NUM
ejpam-864	153	9	)	)	PUNCT
ejpam-864	153	10	and	and	CCONJ
ejpam-864	153	11	(	(	PUNCT
ejpam-864	153	12	18	18	NUM
ejpam-864	153	13	)	)	PUNCT
ejpam-864	153	14	that	that	SCONJ
ejpam-864	153	15	zh′′(z	zh′′(z	NUM
ejpam-864	153	16	)	)	PUNCT
ejpam-864	153	17	h′(z	h′(z	PROPN
ejpam-864	153	18	)	)	PUNCT
ejpam-864	153	19	=	=	SYM
ejpam-864	154	1	n	n	CCONJ
ejpam-864	154	2	∑	∑	PROPN
ejpam-864	154	3	i=1	i=1	PROPN
ejpam-864	154	4	(	(	PUNCT
ejpam-864	154	5	β	β	NOUN
ejpam-864	154	6	−	−	NOUN
ejpam-864	154	7	1	1	NUM
ejpam-864	154	8	)	)	PUNCT
ejpam-864	154	9	�	�	PROPN
ejpam-864	154	10	z	z	PROPN
ejpam-864	154	11	fi	fi	NOUN
ejpam-864	154	12	′(z	′(z	NOUN
ejpam-864	154	13	)	)	PUNCT
ejpam-864	154	14	fi(z	fi(z	PROPN
ejpam-864	154	15	)	)	PUNCT
ejpam-864	154	16	−	−	PROPN
ejpam-864	154	17	1	1	NUM
ejpam-864	154	18	�	�	PROPN
ejpam-864	154	19	.	.	PUNCT
ejpam-864	155	1	(	(	PUNCT
ejpam-864	155	2	19	19	NUM
ejpam-864	155	3	)	)	PUNCT
ejpam-864	155	4	since	since	SCONJ
ejpam-864	155	5	�	�	PROPN
ejpam-864	155	6	�	�	PROPN
ejpam-864	155	7	fi(z	fi(z	PART
ejpam-864	155	8	)	)	PUNCT
ejpam-864	155	9	�	�	PROPN
ejpam-864	155	10	�	�	PROPN
ejpam-864	155	11	≤	≤	PROPN
ejpam-864	155	12	mi	mi	PROPN
ejpam-864	155	13	(	(	PUNCT
ejpam-864	155	14	z	z	PROPN
ejpam-864	155	15	∈	∈	PROPN
ejpam-864	155	16	u	u	NOUN
ejpam-864	155	17	,	,	PUNCT
ejpam-864	155	18	i	i	PRON
ejpam-864	155	19	=	=	NOUN
ejpam-864	155	20	1	1	NUM
ejpam-864	155	21	,	,	PUNCT
ejpam-864	155	22	.	.	PUNCT
ejpam-864	155	23	.	.	PUNCT
ejpam-864	156	1	.	.	PUNCT
ejpam-864	156	2	,	,	PUNCT
ejpam-864	157	1	n	n	CCONJ
ejpam-864	157	2	)	)	PUNCT
ejpam-864	157	3	,	,	PUNCT
ejpam-864	157	4	then	then	ADV
ejpam-864	157	5	by	by	ADP
ejpam-864	157	6	the	the	DET
ejpam-864	157	7	general	general	ADJ
ejpam-864	157	8	schwarz	schwarz	PROPN
ejpam-864	157	9	lemma	lemma	PROPN
ejpam-864	157	10	,	,	PUNCT
ejpam-864	157	11	we	we	PRON
ejpam-864	157	12	obtain	obtain	VERB
ejpam-864	157	13	�	�	PROPN
ejpam-864	157	14	�	�	PROPN
ejpam-864	157	15	fi(z	fi(z	PART
ejpam-864	157	16	)	)	PUNCT
ejpam-864	157	17	�	�	PROPN
ejpam-864	157	18	�	�	PROPN
ejpam-864	157	19	≤	≤	PROPN
ejpam-864	157	20	mi	mi	NOUN
ejpam-864	157	21	|z|	|z|	NOUN
ejpam-864	157	22	for	for	ADP
ejpam-864	157	23	all	all	DET
ejpam-864	157	24	z	z	NOUN
ejpam-864	157	25	∈	∈	NOUN
ejpam-864	157	26	u	u	NOUN
ejpam-864	157	27	and	and	CCONJ
ejpam-864	157	28	i	i	NOUN
ejpam-864	157	29	=	=	NOUN
ejpam-864	157	30	1	1	NUM
ejpam-864	157	31	,	,	PUNCT
ejpam-864	157	32	.	.	PUNCT
ejpam-864	157	33	.	.	PUNCT
ejpam-864	158	1	.	.	PUNCT
ejpam-864	159	1	,	,	PUNCT
ejpam-864	159	2	n	n	CCONJ
ejpam-864	159	3	,	,	PUNCT
ejpam-864	159	4	we	we	PRON
ejpam-864	159	5	thus	thus	ADV
ejpam-864	159	6	from	from	ADP
ejpam-864	159	7	(	(	PUNCT
ejpam-864	159	8	4	4	NUM
ejpam-864	159	9	)	)	PUNCT
ejpam-864	159	10	and	and	CCONJ
ejpam-864	159	11	(	(	PUNCT
ejpam-864	159	12	19	19	NUM
ejpam-864	159	13	)	)	PUNCT
ejpam-864	159	14	find	find	VERB
ejpam-864	159	15	that	that	SCONJ
ejpam-864	159	16	�	�	PROPN
ejpam-864	159	17	�	�	PROPN
ejpam-864	159	18	�	�	PROPN
ejpam-864	159	19	�	�	PROPN
ejpam-864	159	20	zh′′(z	zh′′(z	NUM
ejpam-864	159	21	)	)	PUNCT
ejpam-864	159	22	h′(z	h′(z	PROPN
ejpam-864	159	23	)	)	PUNCT
ejpam-864	159	24	�	�	PROPN
ejpam-864	159	25	�	�	PROPN
ejpam-864	159	26	�	�	PROPN
ejpam-864	159	27	�	�	PROPN
ejpam-864	159	28	≤	≤	PROPN
ejpam-864	159	29	n	n	CCONJ
ejpam-864	159	30	∑	∑	PROPN
ejpam-864	159	31	i=1	i=1	PROPN
ejpam-864	159	32	(	(	PUNCT
ejpam-864	159	33	β	β	NOUN
ejpam-864	159	34	−	−	NOUN
ejpam-864	159	35	1	1	NUM
ejpam-864	159	36	)	)	PUNCT
ejpam-864	159	37	�	�	PROPN
ejpam-864	159	38	�	�	PROPN
ejpam-864	159	39	�	�	PROPN
ejpam-864	159	40	�	�	PROPN
ejpam-864	159	41	�	�	PROPN
ejpam-864	159	42	z	z	PROPN
ejpam-864	159	43	fi	fi	NOUN
ejpam-864	159	44	′(z	′(z	NOUN
ejpam-864	159	45	)	)	PUNCT
ejpam-864	159	46	fi(z	fi(z	VERB
ejpam-864	159	47	)	)	PUNCT
ejpam-864	159	48	�	�	PROPN
ejpam-864	159	49	�	�	PROPN
ejpam-864	159	50	�	�	PROPN
ejpam-864	159	51	�	�	PROPN
ejpam-864	159	52	+	+	CCONJ
ejpam-864	159	53	1	1	NUM
ejpam-864	159	54	�	�	PROPN
ejpam-864	159	55	≤	≤	PROPN
ejpam-864	159	56	n	n	CCONJ
ejpam-864	159	57	∑	∑	PROPN
ejpam-864	159	58	i=1	i=1	PROPN
ejpam-864	159	59	(	(	PUNCT
ejpam-864	159	60	β	β	NOUN
ejpam-864	159	61	−	−	NOUN
ejpam-864	159	62	1	1	NUM
ejpam-864	159	63	)	)	PUNCT
ejpam-864	159	64	�	�	PROPN
ejpam-864	159	65	�	�	PROPN
ejpam-864	159	66	�	�	PROPN
ejpam-864	159	67	�	�	PROPN
ejpam-864	159	68	�	�	PROPN
ejpam-864	159	69	z2	z2	PROPN
ejpam-864	159	70	fi	fi	NOUN
ejpam-864	159	71	′(z	′(z	NOUN
ejpam-864	159	72	)	)	PUNCT
ejpam-864	159	73	[	[	PUNCT
ejpam-864	159	74	fi(z	fi(z	X
ejpam-864	159	75	)	)	PUNCT
ejpam-864	159	76	]	]	PUNCT
ejpam-864	159	77	2	2	NUM
ejpam-864	159	78	�	�	PROPN
ejpam-864	159	79	�	�	PROPN
ejpam-864	159	80	�	�	PROPN
ejpam-864	159	81	�	�	PROPN
ejpam-864	159	82	�	�	PROPN
ejpam-864	159	83	�	�	PROPN
ejpam-864	159	84	�	�	PROPN
ejpam-864	159	85	�	�	PROPN
ejpam-864	159	86	�	�	PROPN
ejpam-864	159	87	fi(z	fi(z	PART
ejpam-864	159	88	)	)	PUNCT
ejpam-864	159	89	z	z	NOUN
ejpam-864	159	90	�	�	PROPN
ejpam-864	159	91	�	�	PROPN
ejpam-864	159	92	�	�	PROPN
ejpam-864	159	93	�	�	PROPN
ejpam-864	160	1	+	+	CCONJ
ejpam-864	160	2	1	1	NUM
ejpam-864	160	3	!	!	PUNCT
ejpam-864	160	4	b.	b.	PROPN
ejpam-864	160	5	frasin	frasin	PROPN
ejpam-864	160	6	/	/	SYM
ejpam-864	160	7	eur	eur	PROPN
ejpam-864	160	8	.	.	PUNCT
ejpam-864	161	1	j.	j.	PROPN
ejpam-864	161	2	pure	pure	PROPN
ejpam-864	161	3	appl	appl	PROPN
ejpam-864	161	4	.	.	PROPN
ejpam-864	161	5	math	math	PROPN
ejpam-864	161	6	,	,	PUNCT
ejpam-864	161	7	3	3	NUM
ejpam-864	161	8	(	(	PUNCT
ejpam-864	161	9	2010	2010	NUM
ejpam-864	161	10	)	)	PUNCT
ejpam-864	161	11	,	,	PUNCT
ejpam-864	161	12	1141	1141	NUM
ejpam-864	161	13	-	-	SYM
ejpam-864	161	14	1149	1149	NUM
ejpam-864	161	15	1147	1147	NUM
ejpam-864	161	16	≤	≤	NOUN
ejpam-864	161	17	n	n	CCONJ
ejpam-864	161	18	∑	∑	PROPN
ejpam-864	161	19	i=1	i=1	PROPN
ejpam-864	161	20	(	(	PUNCT
ejpam-864	161	21	β	β	NOUN
ejpam-864	161	22	−	−	NOUN
ejpam-864	161	23	1	1	NUM
ejpam-864	161	24	)	)	PUNCT
ejpam-864	161	25	�	�	PROPN
ejpam-864	161	26	�	�	PROPN
ejpam-864	161	27	�	�	PROPN
ejpam-864	161	28	�	�	PROPN
ejpam-864	161	29	�	�	PROPN
ejpam-864	161	30	�	�	PROPN
ejpam-864	161	31	z2	z2	PROPN
ejpam-864	161	32	fi	fi	NOUN
ejpam-864	161	33	′(z	′(z	NOUN
ejpam-864	161	34	)	)	PUNCT
ejpam-864	161	35	[	[	PUNCT
ejpam-864	161	36	fi(z	fi(z	X
ejpam-864	161	37	)	)	PUNCT
ejpam-864	161	38	]	]	PUNCT
ejpam-864	161	39	2	2	NUM
ejpam-864	161	40	−	−	PROPN
ejpam-864	161	41	1	1	NUM
ejpam-864	161	42	�	�	PROPN
ejpam-864	161	43	−	−	PROPN
ejpam-864	161	44	mi	mi	NOUN
ejpam-864	161	45	−	−	PROPN
ejpam-864	161	46	1	1	NUM
ejpam-864	161	47	2	2	NUM
ejpam-864	161	48	|z|mi+1	|z|mi+1	ADP
ejpam-864	161	49	�	�	PROPN
ejpam-864	161	50	�	�	PROPN
ejpam-864	161	51	�	�	PROPN
ejpam-864	161	52	�	�	PROPN
ejpam-864	161	53	�	�	PROPN
ejpam-864	161	54	mi	mi	PROPN
ejpam-864	161	55	+	+	CCONJ
ejpam-864	161	56	�	�	PROPN
ejpam-864	161	57	1	1	NUM
ejpam-864	161	58	+	+	NUM
ejpam-864	161	59	mi	mi	NOUN
ejpam-864	161	60	−	−	PROPN
ejpam-864	161	61	1	1	NUM
ejpam-864	161	62	2	2	NUM
ejpam-864	161	63	|z|mi+1	|z|mi+1	ADP
ejpam-864	161	64	�	�	PROPN
ejpam-864	161	65	mi	mi	PROPN
ejpam-864	161	66	+	+	PROPN
ejpam-864	161	67	1	1	NUM
ejpam-864	161	68	!	!	PUNCT
ejpam-864	161	69	≤	≤	NUM
ejpam-864	162	1	n	n	CCONJ
ejpam-864	162	2	∑	∑	PROPN
ejpam-864	162	3	i=1	i=1	PROPN
ejpam-864	162	4	(	(	PUNCT
ejpam-864	162	5	β	β	NOUN
ejpam-864	162	6	−	−	NOUN
ejpam-864	162	7	1	1	X
ejpam-864	162	8	)	)	PUNCT
ejpam-864	162	9	�	�	PROPN
ejpam-864	162	10	mi	mi	PROPN
ejpam-864	163	1	+	+	CCONJ
ejpam-864	163	2	1	1	NUM
ejpam-864	163	3	2	2	NUM
ejpam-864	163	4	|z|mi+1	|z|mi+1	NOUN
ejpam-864	163	5	mi	mi	PROPN
ejpam-864	163	6	+	+	CCONJ
ejpam-864	163	7	�	�	PROPN
ejpam-864	163	8	1	1	NUM
ejpam-864	163	9	+	+	NUM
ejpam-864	163	10	mi	mi	NOUN
ejpam-864	163	11	−	−	PROPN
ejpam-864	163	12	1	1	NUM
ejpam-864	163	13	2	2	NUM
ejpam-864	163	14	|z|mi+1	|z|mi+1	ADP
ejpam-864	163	15	�	�	PROPN
ejpam-864	163	16	mi	mi	PROPN
ejpam-864	163	17	+	+	CCONJ
ejpam-864	163	18	1	1	NUM
ejpam-864	163	19	�	�	PROPN
ejpam-864	163	20	≤	≤	PROPN
ejpam-864	163	21	n	n	CCONJ
ejpam-864	163	22	∑	∑	PROPN
ejpam-864	163	23	i=1	i=1	PROPN
ejpam-864	163	24	(	(	PUNCT
ejpam-864	163	25	β	β	NOUN
ejpam-864	163	26	−	−	NUM
ejpam-864	163	27	1)[(mi	1)[(mi	NUM
ejpam-864	163	28	+	+	CCONJ
ejpam-864	164	1	1)mi	1)mi	NUM
ejpam-864	164	2	+	+	NUM
ejpam-864	164	3	1	1	NUM
ejpam-864	164	4	]	]	PUNCT
ejpam-864	164	5	.	.	PUNCT
ejpam-864	165	1	therefore	therefore	ADV
ejpam-864	165	2	,	,	PUNCT
ejpam-864	165	3	we	we	PRON
ejpam-864	165	4	have	have	VERB
ejpam-864	165	5	�	�	PROPN
ejpam-864	165	6	�	�	PROPN
ejpam-864	165	7	�	�	PROPN
ejpam-864	165	8	�	�	PROPN
ejpam-864	165	9	c	c	PROPN
ejpam-864	165	10	|z|2β	|z|2β	X
ejpam-864	166	1	+	+	CCONJ
ejpam-864	166	2	(	(	PUNCT
ejpam-864	166	3	1−	1−	NUM
ejpam-864	166	4	|z|2β	|z|2β	X
ejpam-864	166	5	)	)	PUNCT
ejpam-864	167	1	zh′′(z	zh′′(z	X
ejpam-864	167	2	)	)	PUNCT
ejpam-864	167	3	βh′(z	βh′(z	NOUN
ejpam-864	167	4	)	)	PUNCT
ejpam-864	167	5	�	�	PROPN
ejpam-864	167	6	�	�	PROPN
ejpam-864	167	7	�	�	PROPN
ejpam-864	167	8	�	�	PROPN
ejpam-864	167	9	≤	≤	PROPN
ejpam-864	167	10	|c|+	|c|+	ADP
ejpam-864	167	11	1	1	NUM
ejpam-864	167	12	β	β	X
ejpam-864	167	13	�	�	PROPN
ejpam-864	167	14	�	�	PROPN
ejpam-864	167	15	�	�	PROPN
ejpam-864	167	16	�	�	PROPN
ejpam-864	167	17	zh′′(z	zh′′(z	NUM
ejpam-864	167	18	)	)	PUNCT
ejpam-864	167	19	h′(z	h′(z	PROPN
ejpam-864	167	20	)	)	PUNCT
ejpam-864	167	21	�	�	PROPN
ejpam-864	167	22	�	�	PROPN
ejpam-864	167	23	�	�	PROPN
ejpam-864	167	24	�	�	PROPN
ejpam-864	167	25	≤	≤	PROPN
ejpam-864	167	26	|c|+	|c|+	NOUN
ejpam-864	167	27	�	�	PROPN
ejpam-864	167	28	β	β	NOUN
ejpam-864	167	29	−	−	PROPN
ejpam-864	167	30	1	1	NUM
ejpam-864	167	31	β	β	X
ejpam-864	167	32	�	�	PROPN
ejpam-864	167	33	n	n	CCONJ
ejpam-864	167	34	∑	∑	PROPN
ejpam-864	167	35	i=1	i=1	PROPN
ejpam-864	168	1	[	[	X
ejpam-864	168	2	(	(	PUNCT
ejpam-864	168	3	mi	mi	NOUN
ejpam-864	168	4	+	+	CCONJ
ejpam-864	168	5	1)mi	1)mi	NUM
ejpam-864	169	1	+	+	NUM
ejpam-864	169	2	1	1	NUM
ejpam-864	169	3	]	]	PUNCT
ejpam-864	169	4	,	,	PUNCT
ejpam-864	169	5	which	which	PRON
ejpam-864	169	6	,	,	PUNCT
ejpam-864	169	7	in	in	ADP
ejpam-864	169	8	the	the	DET
ejpam-864	169	9	light	light	NOUN
ejpam-864	169	10	of	of	ADP
ejpam-864	169	11	the	the	DET
ejpam-864	169	12	hypothesis	hypothesis	NOUN
ejpam-864	169	13	(	(	PUNCT
ejpam-864	169	14	16	16	NUM
ejpam-864	169	15	)	)	PUNCT
ejpam-864	169	16	,	,	PUNCT
ejpam-864	169	17	yields	yield	VERB
ejpam-864	169	18	�	�	PROPN
ejpam-864	169	19	�	�	PROPN
ejpam-864	169	20	�	�	PROPN
ejpam-864	169	21	�	�	PROPN
ejpam-864	169	22	c	c	PROPN
ejpam-864	169	23	|z|2β	|z|2β	X
ejpam-864	170	1	+	+	CCONJ
ejpam-864	170	2	(	(	PUNCT
ejpam-864	170	3	1−	1−	NUM
ejpam-864	170	4	|z|2β	|z|2β	X
ejpam-864	170	5	)	)	PUNCT
ejpam-864	171	1	zh′′(z	zh′′(z	X
ejpam-864	171	2	)	)	PUNCT
ejpam-864	171	3	βh′(z	βh′(z	NOUN
ejpam-864	171	4	)	)	PUNCT
ejpam-864	171	5	�	�	PROPN
ejpam-864	171	6	�	�	PROPN
ejpam-864	171	7	�	�	PROPN
ejpam-864	171	8	�	�	PROPN
ejpam-864	171	9	≤	≤	PROPN
ejpam-864	171	10	1	1	NUM
ejpam-864	171	11	.	.	PUNCT
ejpam-864	172	1	finally	finally	ADV
ejpam-864	172	2	,	,	PUNCT
ejpam-864	172	3	by	by	ADP
ejpam-864	172	4	applying	apply	VERB
ejpam-864	172	5	lemma	lemma	PROPN
ejpam-864	172	6	2	2	NUM
ejpam-864	172	7	,	,	PUNCT
ejpam-864	172	8	we	we	PRON
ejpam-864	172	9	conclude	conclude	VERB
ejpam-864	172	10	that	that	PRON
ejpam-864	172	11	gn	gn	PROPN
ejpam-864	172	12	,	,	PUNCT
ejpam-864	172	13	β(z	β(z	PROPN
ejpam-864	172	14	)	)	PUNCT
ejpam-864	172	15	∈	∈	PROPN
ejpam-864	172	16	s	s	PART
ejpam-864	172	17	.	.	PUNCT
ejpam-864	172	18	letting	let	VERB
ejpam-864	172	19	m1	m1	PROPN
ejpam-864	172	20	=	=	PROPN
ejpam-864	172	21	m2	m2	PROPN
ejpam-864	172	22	=	=	PROPN
ejpam-864	172	23	.	.	PUNCT
ejpam-864	172	24	.	.	PUNCT
ejpam-864	172	25	.	.	PUNCT
ejpam-864	173	1	=	=	PUNCT
ejpam-864	173	2	mn	mn	PROPN
ejpam-864	174	1	=	=	SYM
ejpam-864	175	1	m	m	PROPN
ejpam-864	175	2	and	and	CCONJ
ejpam-864	175	3	m1	m1	PROPN
ejpam-864	175	4	=	=	SYM
ejpam-864	175	5	m2	m2	PROPN
ejpam-864	175	6	=	=	PROPN
ejpam-864	175	7	.	.	PUNCT
ejpam-864	175	8	.	.	PUNCT
ejpam-864	175	9	.	.	PUNCT
ejpam-864	176	1	=	=	PUNCT
ejpam-864	176	2	mn	mn	PROPN
ejpam-864	177	1	=	=	SYM
ejpam-864	177	2	m	m	VERB
ejpam-864	177	3	in	in	ADP
ejpam-864	177	4	theorem	theorem	NOUN
ejpam-864	177	5	2	2	NUM
ejpam-864	177	6	,	,	PUNCT
ejpam-864	177	7	we	we	PRON
ejpam-864	177	8	have	have	VERB
ejpam-864	177	9	corollary	corollary	ADJ
ejpam-864	177	10	4	4	NUM
ejpam-864	177	11	.	.	PUNCT
ejpam-864	178	1	let	let	VERB
ejpam-864	178	2	m	m	PRON
ejpam-864	178	3	≥	≥	VERB
ejpam-864	178	4	1	1	NUM
ejpam-864	178	5	,	,	PUNCT
ejpam-864	178	6	m	m	VERB
ejpam-864	178	7	>	>	X
ejpam-864	178	8	0	0	PUNCT
ejpam-864	179	1	and	and	CCONJ
ejpam-864	179	2	β	β	X
ejpam-864	179	3	∈	∈	NOUN
ejpam-864	179	4	r	r	NOUN
ejpam-864	179	5	with	with	ADP
ejpam-864	179	6	β	β	X
ejpam-864	179	7	∈	∈	PROPN
ejpam-864	179	8	�	�	PROPN
ejpam-864	179	9	1	1	NUM
ejpam-864	179	10	,	,	PUNCT
ejpam-864	179	11	(	(	PUNCT
ejpam-864	179	12	(	(	PUNCT
ejpam-864	179	13	m+	m+	NUM
ejpam-864	179	14	1)m	1)m	NUM
ejpam-864	179	15	+	+	SYM
ejpam-864	179	16	1)n	1)n	NUM
ejpam-864	179	17	(	(	PUNCT
ejpam-864	179	18	(	(	PUNCT
ejpam-864	179	19	m+	m+	NOUN
ejpam-864	179	20	1)m	1)m	NUM
ejpam-864	180	1	+	+	CCONJ
ejpam-864	180	2	1)n−	1)n−	NUM
ejpam-864	180	3	1	1	NUM
ejpam-864	180	4	�	�	PROPN
ejpam-864	180	5	.	.	PUNCT
ejpam-864	181	1	(	(	PUNCT
ejpam-864	181	2	20	20	NUM
ejpam-864	181	3	)	)	PUNCT
ejpam-864	181	4	and	and	CCONJ
ejpam-864	181	5	let	let	VERB
ejpam-864	181	6	c	c	NOUN
ejpam-864	181	7	∈	∈	PROPN
ejpam-864	181	8	c	c	AUX
ejpam-864	181	9	be	be	AUX
ejpam-864	181	10	such	such	ADJ
ejpam-864	181	11	that	that	SCONJ
ejpam-864	181	12	|c|	|c|	PROPN
ejpam-864	181	13	≤	≤	ADV
ejpam-864	181	14	1	1	NUM
ejpam-864	181	15	+	+	NUM
ejpam-864	181	16	�	�	PROPN
ejpam-864	181	17	1−	1−	NUM
ejpam-864	181	18	β	β	X
ejpam-864	181	19	β	β	X
ejpam-864	181	20	�	�	PROPN
ejpam-864	181	21	(	(	PUNCT
ejpam-864	181	22	(	(	PUNCT
ejpam-864	181	23	m+	m+	NUM
ejpam-864	181	24	1)m	1)m	NUM
ejpam-864	181	25	+	+	X
ejpam-864	181	26	1)n	1)n	NUM
ejpam-864	181	27	.	.	PUNCT
ejpam-864	182	1	(	(	PUNCT
ejpam-864	182	2	21	21	NUM
ejpam-864	182	3	)	)	PUNCT
ejpam-864	182	4	if	if	SCONJ
ejpam-864	182	5	fi	fi	NOUN
ejpam-864	182	6	∈a	∈a	NUM
ejpam-864	182	7	(	(	PUNCT
ejpam-864	182	8	i	i	NOUN
ejpam-864	182	9	=	=	NOUN
ejpam-864	182	10	1	1	NUM
ejpam-864	182	11	,	,	PUNCT
ejpam-864	182	12	.	.	PUNCT
ejpam-864	182	13	.	.	PUNCT
ejpam-864	183	1	.	.	PUNCT
ejpam-864	184	1	,	,	PUNCT
ejpam-864	185	1	n	n	CCONJ
ejpam-864	185	2	)	)	PUNCT
ejpam-864	185	3	satisfies	satisfy	VERB
ejpam-864	185	4	the	the	DET
ejpam-864	185	5	inequality	inequality	NOUN
ejpam-864	185	6	(	(	PUNCT
ejpam-864	185	7	4	4	NUM
ejpam-864	185	8	)	)	PUNCT
ejpam-864	185	9	and	and	CCONJ
ejpam-864	185	10	�	�	PROPN
ejpam-864	185	11	�	�	PROPN
ejpam-864	185	12	fi(z	fi(z	PART
ejpam-864	185	13	)	)	PUNCT
ejpam-864	185	14	�	�	PROPN
ejpam-864	185	15	�	�	PROPN
ejpam-864	185	16	≤	≤	NUM
ejpam-864	185	17	m	m	VERB
ejpam-864	185	18	(	(	PUNCT
ejpam-864	185	19	z	z	NOUN
ejpam-864	185	20	∈	∈	PROPN
ejpam-864	185	21	u	u	PROPN
ejpam-864	185	22	)	)	PUNCT
ejpam-864	185	23	then	then	ADV
ejpam-864	185	24	the	the	DET
ejpam-864	185	25	integral	integral	ADJ
ejpam-864	185	26	operator	operator	NOUN
ejpam-864	185	27	gn	gn	PROPN
ejpam-864	185	28	,	,	PUNCT
ejpam-864	185	29	β	β	X
ejpam-864	185	30	(	(	PUNCT
ejpam-864	185	31	z	z	NOUN
ejpam-864	185	32	)	)	PUNCT
ejpam-864	185	33	defined	define	VERB
ejpam-864	185	34	by	by	ADP
ejpam-864	185	35	(	(	PUNCT
ejpam-864	185	36	2	2	X
ejpam-864	185	37	)	)	PUNCT
ejpam-864	185	38	is	be	AUX
ejpam-864	185	39	analytic	analytic	ADJ
ejpam-864	185	40	and	and	CCONJ
ejpam-864	185	41	univalent	univalent	ADJ
ejpam-864	185	42	in	in	ADP
ejpam-864	185	43	u	u	PROPN
ejpam-864	185	44	.	.	PUNCT
ejpam-864	186	1	remark	remark	PROPN
ejpam-864	186	2	2	2	NUM
ejpam-864	186	3	.	.	PUNCT
ejpam-864	187	1	if	if	SCONJ
ejpam-864	187	2	we	we	PRON
ejpam-864	187	3	put	put	VERB
ejpam-864	187	4	m=	m=	X
ejpam-864	187	5	1	1	NUM
ejpam-864	187	6	in	in	ADP
ejpam-864	187	7	corollary	corollary	ADJ
ejpam-864	187	8	4	4	NUM
ejpam-864	187	9	,	,	PUNCT
ejpam-864	187	10	we	we	PRON
ejpam-864	187	11	obtain	obtain	VERB
ejpam-864	187	12	theorem	theorem	ADJ
ejpam-864	187	13	4	4	NUM
ejpam-864	187	14	in	in	ADP
ejpam-864	187	15	[	[	X
ejpam-864	187	16	7	7	NUM
ejpam-864	187	17	]	]	PUNCT
ejpam-864	187	18	.	.	PUNCT
ejpam-864	188	1	if	if	SCONJ
ejpam-864	188	2	we	we	PRON
ejpam-864	188	3	put	put	VERB
ejpam-864	188	4	m	m	VERB
ejpam-864	188	5	=	=	ADJ
ejpam-864	188	6	m	m	NOUN
ejpam-864	188	7	=	=	SYM
ejpam-864	188	8	n	n	PROPN
ejpam-864	188	9	=	=	SYM
ejpam-864	188	10	1	1	NUM
ejpam-864	188	11	and	and	CCONJ
ejpam-864	188	12	f1	f1	NOUN
ejpam-864	188	13	=	=	SYM
ejpam-864	188	14	f	f	PROPN
ejpam-864	188	15	in	in	ADP
ejpam-864	188	16	corollary	corollary	ADJ
ejpam-864	188	17	4	4	NUM
ejpam-864	188	18	,	,	PUNCT
ejpam-864	188	19	we	we	PRON
ejpam-864	188	20	obtain	obtain	VERB
ejpam-864	188	21	the	the	DET
ejpam-864	188	22	following	follow	VERB
ejpam-864	188	23	interesting	interesting	ADJ
ejpam-864	188	24	result	result	NOUN
ejpam-864	188	25	obtained	obtain	VERB
ejpam-864	188	26	by	by	ADP
ejpam-864	188	27	pescar	pescar	NOUN
ejpam-864	188	28	[	[	X
ejpam-864	188	29	12	12	NUM
ejpam-864	188	30	]	]	PUNCT
ejpam-864	188	31	.	.	PUNCT
ejpam-864	189	1	references	reference	NOUN
ejpam-864	189	2	1148	1148	NUM
ejpam-864	189	3	corollary	corollary	NOUN
ejpam-864	189	4	5	5	NUM
ejpam-864	189	5	(	(	PUNCT
ejpam-864	189	6	[	[	X
ejpam-864	189	7	12	12	NUM
ejpam-864	189	8	]	]	PUNCT
ejpam-864	189	9	)	)	PUNCT
ejpam-864	189	10	.	.	PUNCT
ejpam-864	190	1	let	let	VERB
ejpam-864	190	2	β	β	X
ejpam-864	190	3	∈	∈	VERB
ejpam-864	190	4	r	r	NOUN
ejpam-864	190	5	with	with	ADP
ejpam-864	190	6	β	β	X
ejpam-864	190	7	∈	∈	PROPN
ejpam-864	190	8	�	�	PROPN
ejpam-864	190	9	1	1	NUM
ejpam-864	190	10	,	,	PUNCT
ejpam-864	190	11	3	3	NUM
ejpam-864	190	12	2	2	NUM
ejpam-864	190	13	�	�	PROPN
ejpam-864	190	14	.	.	PUNCT
ejpam-864	191	1	(	(	PUNCT
ejpam-864	191	2	22	22	NUM
ejpam-864	191	3	)	)	PUNCT
ejpam-864	191	4	and	and	CCONJ
ejpam-864	191	5	let	let	VERB
ejpam-864	191	6	c	c	NOUN
ejpam-864	191	7	∈	∈	PROPN
ejpam-864	191	8	c	c	AUX
ejpam-864	191	9	be	be	AUX
ejpam-864	191	10	such	such	ADJ
ejpam-864	191	11	that	that	SCONJ
ejpam-864	191	12	|c|	|c|	PROPN
ejpam-864	191	13	≤	≤	NOUN
ejpam-864	191	14	3−	3−	NUM
ejpam-864	191	15	2β	2β	NOUN
ejpam-864	192	1	β	β	X
ejpam-864	192	2	(	(	PUNCT
ejpam-864	192	3	c	c	NOUN
ejpam-864	192	4	6=	6=	NUM
ejpam-864	192	5	−1	−1	NOUN
ejpam-864	192	6	)	)	PUNCT
ejpam-864	192	7	.	.	PUNCT
ejpam-864	193	1	(	(	PUNCT
ejpam-864	193	2	23	23	NUM
ejpam-864	193	3	)	)	PUNCT
ejpam-864	193	4	if	if	SCONJ
ejpam-864	193	5	f	f	PROPN
ejpam-864	193	6	∈	∈	PROPN
ejpam-864	193	7	a	a	DET
ejpam-864	193	8	satisfies	satisfie	NOUN
ejpam-864	193	9	the	the	DET
ejpam-864	193	10	inequality	inequality	NOUN
ejpam-864	193	11	(	(	PUNCT
ejpam-864	193	12	4	4	NUM
ejpam-864	193	13	)	)	PUNCT
ejpam-864	193	14	and	and	CCONJ
ejpam-864	193	15	�	�	PROPN
ejpam-864	193	16	�	�	PROPN
ejpam-864	193	17	f	f	PROPN
ejpam-864	193	18	(	(	PUNCT
ejpam-864	193	19	z	z	PROPN
ejpam-864	193	20	)	)	PUNCT
ejpam-864	193	21	�	�	PROPN
ejpam-864	193	22	�	�	PROPN
ejpam-864	193	23	≤	≤	PROPN
ejpam-864	193	24	1	1	NUM
ejpam-864	193	25	(	(	PUNCT
ejpam-864	193	26	z	z	NOUN
ejpam-864	193	27	∈	∈	PROPN
ejpam-864	193	28	u	u	PROPN
ejpam-864	193	29	)	)	PUNCT
ejpam-864	193	30	then	then	ADV
ejpam-864	193	31	the	the	DET
ejpam-864	193	32	integral	integral	ADJ
ejpam-864	193	33	operator	operator	NOUN
ejpam-864	193	34	gβ	gβ	X
ejpam-864	193	35	(	(	PUNCT
ejpam-864	193	36	z	z	NOUN
ejpam-864	193	37	)	)	PUNCT
ejpam-864	193	38	defined	define	VERB
ejpam-864	193	39	by	by	ADP
ejpam-864	193	40	gβ(z	gβ(z	NOUN
ejpam-864	193	41	)	)	PUNCT
ejpam-864	193	42	=	=	SYM
ejpam-864	193	43			PROPN
ejpam-864	193	44			NOUN
ejpam-864	193	45			NOUN
ejpam-864	193	46			NOUN
ejpam-864	193	47	β	β	X
ejpam-864	193	48	z	z	PROPN
ejpam-864	193	49	∫	∫	PROPN
ejpam-864	193	50	0	0	NUM
ejpam-864	193	51	�	�	PROPN
ejpam-864	193	52	f	f	PROPN
ejpam-864	193	53	(	(	PUNCT
ejpam-864	193	54	t	t	PROPN
ejpam-864	193	55	)	)	PUNCT
ejpam-864	193	56	�	�	PROPN
ejpam-864	193	57	β−1	β−1	PROPN
ejpam-864	193	58	d	d	PROPN
ejpam-864	193	59	t	t	PROPN
ejpam-864	193	60			PROPN
ejpam-864	193	61			PROPN
ejpam-864	193	62			NOUN
ejpam-864	193	63			PUNCT
ejpam-864	194	1	1	1	NUM
ejpam-864	194	2	β	β	NOUN
ejpam-864	194	3	is	be	AUX
ejpam-864	194	4	analytic	analytic	ADJ
ejpam-864	194	5	and	and	CCONJ
ejpam-864	194	6	univalent	univalent	ADJ
ejpam-864	194	7	in	in	ADP
ejpam-864	194	8	u	u	PROPN
ejpam-864	194	9	.	.	PUNCT
ejpam-864	195	1	references	reference	NOUN
ejpam-864	195	2	[	[	X
ejpam-864	195	3	1	1	NUM
ejpam-864	195	4	]	]	PUNCT
ejpam-864	195	5	d.	d.	PROPN
ejpam-864	195	6	breaz	breaz	PROPN
ejpam-864	195	7	,	,	PUNCT
ejpam-864	195	8	univalence	univalence	NOUN
ejpam-864	195	9	properties	property	NOUN
ejpam-864	195	10	for	for	ADP
ejpam-864	195	11	a	a	DET
ejpam-864	195	12	general	general	ADJ
ejpam-864	195	13	integral	integral	ADJ
ejpam-864	195	14	operator	operator	NOUN
ejpam-864	195	15	,	,	PUNCT
ejpam-864	195	16	bull	bull	NOUN
ejpam-864	195	17	.	.	PUNCT
ejpam-864	196	1	korean	korean	PROPN
ejpam-864	196	2	math.soc	math.soc	PROPN
ejpam-864	196	3	.	.	PROPN
ejpam-864	196	4	46	46	NUM
ejpam-864	196	5	(	(	PUNCT
ejpam-864	196	6	3	3	NUM
ejpam-864	196	7	)	)	PUNCT
ejpam-864	196	8	,	,	PUNCT
ejpam-864	196	9	439	439	NUM
ejpam-864	196	10	-	-	SYM
ejpam-864	196	11	446	446	NUM
ejpam-864	196	12	.	.	PUNCT
ejpam-864	196	13	2009	2009	NUM
ejpam-864	196	14	.	.	PUNCT
ejpam-864	197	1	[	[	X
ejpam-864	197	2	2	2	X
ejpam-864	197	3	]	]	X
ejpam-864	197	4	d.	d.	PROPN
ejpam-864	197	5	breaz	breaz	PROPN
ejpam-864	197	6	and	and	CCONJ
ejpam-864	197	7	n.	n.	PROPN
ejpam-864	197	8	breaz	breaz	PROPN
ejpam-864	197	9	,	,	PUNCT
ejpam-864	197	10	univalence	univalence	NOUN
ejpam-864	197	11	of	of	ADP
ejpam-864	197	12	an	an	DET
ejpam-864	197	13	integral	integral	ADJ
ejpam-864	197	14	operator	operator	NOUN
ejpam-864	197	15	,	,	PUNCT
ejpam-864	197	16	mathematica	mathematica	PROPN
ejpam-864	197	17	(	(	PUNCT
ejpam-864	197	18	cluj	cluj	PROPN
ejpam-864	197	19	)	)	PUNCT
ejpam-864	197	20	47	47	NUM
ejpam-864	197	21	(	(	PUNCT
ejpam-864	197	22	70	70	NUM
ejpam-864	197	23	)	)	PUNCT
ejpam-864	197	24	,	,	PUNCT
ejpam-864	197	25	35	35	NUM
ejpam-864	197	26	-	-	SYM
ejpam-864	197	27	38	38	NUM
ejpam-864	197	28	.	.	PUNCT
ejpam-864	197	29	2005	2005	NUM
ejpam-864	197	30	.	.	PUNCT
ejpam-864	198	1	[	[	X
ejpam-864	198	2	3	3	X
ejpam-864	198	3	]	]	X
ejpam-864	198	4	d.	d.	PROPN
ejpam-864	198	5	breaz	breaz	PROPN
ejpam-864	198	6	and	and	CCONJ
ejpam-864	198	7	n.	n.	PROPN
ejpam-864	198	8	breaz	breaz	PROPN
ejpam-864	198	9	,	,	PUNCT
ejpam-864	198	10	sufficient	sufficient	ADJ
ejpam-864	198	11	univalence	univalence	NOUN
ejpam-864	198	12	conditions	condition	NOUN
ejpam-864	198	13	for	for	ADP
ejpam-864	198	14	analytic	analytic	ADJ
ejpam-864	198	15	functions	function	NOUN
ejpam-864	198	16	,	,	PUNCT
ejpam-864	198	17	j.	j.	PROPN
ejpam-864	198	18	ineq	ineq	PROPN
ejpam-864	198	19	.	.	PUNCT
ejpam-864	199	1	appl	appl	PROPN
ejpam-864	199	2	.	.	PROPN
ejpam-864	199	3	,	,	PUNCT
ejpam-864	199	4	volume	volume	NOUN
ejpam-864	199	5	7	7	NUM
ejpam-864	199	6	,	,	PUNCT
ejpam-864	199	7	article	article	NOUN
ejpam-864	199	8	i	i	PROPN
ejpam-864	199	9	d	d	PROPN
ejpam-864	199	10	86493	86493	NUM
ejpam-864	199	11	,	,	PUNCT
ejpam-864	199	12	5	5	NUM
ejpam-864	199	13	pages	page	NOUN
ejpam-864	199	14	.	.	PUNCT
ejpam-864	200	1	2007	2007	NUM
ejpam-864	200	2	.	.	PUNCT
ejpam-864	201	1	[	[	X
ejpam-864	201	2	4	4	X
ejpam-864	201	3	]	]	X
ejpam-864	201	4	d.	d.	PROPN
ejpam-864	201	5	breaz	breaz	PROPN
ejpam-864	201	6	and	and	CCONJ
ejpam-864	201	7	n.	n.	PROPN
ejpam-864	201	8	breaz	breaz	PROPN
ejpam-864	201	9	,	,	PUNCT
ejpam-864	201	10	an	an	DET
ejpam-864	201	11	integral	integral	ADJ
ejpam-864	201	12	univalent	univalent	ADJ
ejpam-864	201	13	operator	operator	NOUN
ejpam-864	201	14	,	,	PUNCT
ejpam-864	201	15	acta	acta	PROPN
ejpam-864	201	16	math	math	PROPN
ejpam-864	201	17	.	.	PUNCT
ejpam-864	202	1	univ	univ	PROPN
ejpam-864	202	2	.	.	PUNCT
ejpam-864	203	1	comenianac	comenianac	ADJ
ejpam-864	203	2	,	,	PUNCT
ejpam-864	203	3	vol	vol	NOUN
ejpam-864	203	4	.	.	PUNCT
ejpam-864	203	5	lxxvi	lxxvi	NOUN
ejpam-864	203	6	,	,	PUNCT
ejpam-864	203	7	2	2	NUM
ejpam-864	203	8	,	,	PUNCT
ejpam-864	203	9	137	137	NUM
ejpam-864	203	10	-	-	SYM
ejpam-864	203	11	142	142	NUM
ejpam-864	203	12	.	.	PUNCT
ejpam-864	204	1	2007	2007	NUM
ejpam-864	204	2	.	.	PUNCT
ejpam-864	205	1	[	[	X
ejpam-864	205	2	5	5	NUM
ejpam-864	205	3	]	]	X
ejpam-864	205	4	n.	n.	NOUN
ejpam-864	205	5	breaz	breaz	PROPN
ejpam-864	205	6	and	and	CCONJ
ejpam-864	205	7	d.	d.	PROPN
ejpam-864	205	8	breaz	breaz	PROPN
ejpam-864	205	9	,	,	PUNCT
ejpam-864	205	10	sufficient	sufficient	ADJ
ejpam-864	205	11	univalent	univalent	ADJ
ejpam-864	205	12	conditions	condition	NOUN
ejpam-864	205	13	for	for	ADP
ejpam-864	205	14	an	an	DET
ejpam-864	205	15	integral	integral	ADJ
ejpam-864	205	16	operator	operator	NOUN
ejpam-864	205	17	,	,	PUNCT
ejpam-864	205	18	proc	proc	NOUN
ejpam-864	205	19	.	.	PUNCT
ejpam-864	206	1	int	int	NOUN
ejpam-864	206	2	.	.	PUNCT
ejpam-864	207	1	symp	symp	PROPN
ejpam-864	207	2	.	.	PUNCT
ejpam-864	208	1	on	on	ADP
ejpam-864	208	2	new	new	ADJ
ejpam-864	208	3	development	development	NOUN
ejpam-864	208	4	of	of	ADP
ejpam-864	208	5	geometric	geometric	ADJ
ejpam-864	208	6	functions	function	NOUN
ejpam-864	208	7	theory	theory	NOUN
ejpam-864	208	8	and	and	CCONJ
ejpam-864	208	9	its	its	PRON
ejpam-864	208	10	applications	application	NOUN
ejpam-864	208	11	gfta	gfta	VERB
ejpam-864	208	12	,	,	PUNCT
ejpam-864	208	13	60	60	NUM
ejpam-864	208	14	-	-	SYM
ejpam-864	208	15	63	63	NUM
ejpam-864	208	16	.	.	PUNCT
ejpam-864	208	17	2008	2008	NUM
ejpam-864	208	18	.	.	PUNCT
ejpam-864	209	1	[	[	X
ejpam-864	209	2	6	6	NUM
ejpam-864	209	3	]	]	X
ejpam-864	209	4	d.	d.	PROPN
ejpam-864	209	5	breaz	breaz	PROPN
ejpam-864	209	6	and	and	CCONJ
ejpam-864	209	7	s.	s.	PROPN
ejpam-864	209	8	owa	owa	PROPN
ejpam-864	209	9	,	,	PUNCT
ejpam-864	209	10	some	some	DET
ejpam-864	209	11	extensions	extension	NOUN
ejpam-864	209	12	of	of	ADP
ejpam-864	209	13	univalent	univalent	ADJ
ejpam-864	209	14	conditions	condition	NOUN
ejpam-864	209	15	for	for	ADP
ejpam-864	209	16	certain	certain	ADJ
ejpam-864	209	17	integral	integral	ADJ
ejpam-864	209	18	operators	operator	NOUN
ejpam-864	209	19	,	,	PUNCT
ejpam-864	209	20	math	math	NOUN
ejpam-864	209	21	.	.	PUNCT
ejpam-864	210	1	ineq	ineq	PROPN
ejpam-864	210	2	.	.	PUNCT
ejpam-864	211	1	appl	appl	PROPN
ejpam-864	211	2	.	.	PROPN
ejpam-864	212	1	vol	vol	NOUN
ejpam-864	212	2	.	.	PROPN
ejpam-864	213	1	10	10	NUM
ejpam-864	213	2	,	,	PUNCT
ejpam-864	213	3	2	2	NUM
ejpam-864	213	4	,	,	PUNCT
ejpam-864	213	5	321	321	NUM
ejpam-864	213	6	-	-	SYM
ejpam-864	213	7	325	325	NUM
ejpam-864	213	8	.	.	PUNCT
ejpam-864	214	1	2007	2007	NUM
ejpam-864	214	2	.	.	PUNCT
ejpam-864	215	1	[	[	X
ejpam-864	215	2	7	7	X
ejpam-864	215	3	]	]	X
ejpam-864	215	4	d.	d.	PROPN
ejpam-864	215	5	breaz	breaz	PROPN
ejpam-864	215	6	,	,	PUNCT
ejpam-864	215	7	n.	n.	NOUN
ejpam-864	215	8	breaz	breaz	PROPN
ejpam-864	215	9	and	and	CCONJ
ejpam-864	215	10	h.	h.	PROPN
ejpam-864	215	11	m.	m.	PROPN
ejpam-864	215	12	srivastava	srivastava	PROPN
ejpam-864	215	13	,	,	PUNCT
ejpam-864	215	14	an	an	DET
ejpam-864	215	15	extension	extension	NOUN
ejpam-864	215	16	of	of	ADP
ejpam-864	215	17	the	the	DET
ejpam-864	215	18	univalent	univalent	ADJ
ejpam-864	215	19	condition	condition	NOUN
ejpam-864	215	20	for	for	ADP
ejpam-864	215	21	a	a	DET
ejpam-864	215	22	family	family	NOUN
ejpam-864	215	23	of	of	ADP
ejpam-864	215	24	integral	integral	ADJ
ejpam-864	215	25	operators	operator	NOUN
ejpam-864	215	26	,	,	PUNCT
ejpam-864	215	27	appl	appl	PROPN
ejpam-864	215	28	.	.	PROPN
ejpam-864	215	29	math	math	PROPN
ejpam-864	215	30	.	.	PUNCT
ejpam-864	216	1	lett	lett	PROPN
ejpam-864	216	2	.	.	PUNCT
ejpam-864	217	1	22	22	NUM
ejpam-864	217	2	(	(	PUNCT
ejpam-864	217	3	1	1	NUM
ejpam-864	217	4	)	)	PUNCT
ejpam-864	217	5	,	,	PUNCT
ejpam-864	217	6	41	41	NUM
ejpam-864	217	7	-	-	SYM
ejpam-864	217	8	44	44	NUM
ejpam-864	217	9	.	.	PUNCT
ejpam-864	217	10	2009	2009	NUM
ejpam-864	217	11	.	.	PUNCT
ejpam-864	218	1	[	[	X
ejpam-864	218	2	8	8	NUM
ejpam-864	218	3	]	]	PUNCT
ejpam-864	218	4	s.	s.	PROPN
ejpam-864	218	5	bulut	bulut	PROPN
ejpam-864	218	6	,	,	PUNCT
ejpam-864	218	7	univalence	univalence	NOUN
ejpam-864	218	8	condition	condition	NOUN
ejpam-864	218	9	for	for	ADP
ejpam-864	218	10	a	a	DET
ejpam-864	218	11	new	new	ADJ
ejpam-864	218	12	generalization	generalization	NOUN
ejpam-864	218	13	of	of	ADP
ejpam-864	218	14	the	the	DET
ejpam-864	218	15	family	family	NOUN
ejpam-864	218	16	of	of	ADP
ejpam-864	218	17	integral	integral	ADJ
ejpam-864	218	18	operators	operator	NOUN
ejpam-864	218	19	,	,	PUNCT
ejpam-864	218	20	acta	acta	PROPN
ejpam-864	218	21	universitatis	universitatis	PROPN
ejpam-864	218	22	apulensis	apulensis	NOUN
ejpam-864	218	23	,	,	PUNCT
ejpam-864	218	24	no	no	INTJ
ejpam-864	218	25	.	.	NOUN
ejpam-864	218	26	18	18	NUM
ejpam-864	218	27	,	,	PUNCT
ejpam-864	218	28	71	71	NUM
ejpam-864	218	29	-	-	SYM
ejpam-864	218	30	78	78	NUM
ejpam-864	218	31	.	.	PUNCT
ejpam-864	218	32	2009	2009	NUM
ejpam-864	218	33	.	.	PUNCT
ejpam-864	219	1	[	[	X
ejpam-864	219	2	9	9	NUM
ejpam-864	219	3	]	]	PUNCT
ejpam-864	219	4	z.	z.	PROPN
ejpam-864	219	5	nehari	nehari	PROPN
ejpam-864	219	6	,	,	PUNCT
ejpam-864	219	7	conformal	conformal	NOUN
ejpam-864	219	8	mapping	mapping	NOUN
ejpam-864	219	9	,	,	PUNCT
ejpam-864	219	10	mcgraw	mcgraw	PROPN
ejpam-864	219	11	-	-	PUNCT
ejpam-864	219	12	hill	hill	NOUN
ejpam-864	219	13	book	book	NOUN
ejpam-864	219	14	comp	comp	PROPN
ejpam-864	219	15	.	.	PUNCT
ejpam-864	219	16	,	,	PUNCT
ejpam-864	219	17	new	new	PROPN
ejpam-864	219	18	york	york	PROPN
ejpam-864	219	19	,	,	PUNCT
ejpam-864	219	20	1952	1952	NUM
ejpam-864	219	21	.	.	PUNCT
ejpam-864	220	1	references	reference	NOUN
ejpam-864	220	2	1149	1149	NUM
ejpam-864	220	3	[	[	X
ejpam-864	220	4	10	10	NUM
ejpam-864	220	5	]	]	X
ejpam-864	220	6	s.	s.	PROPN
ejpam-864	220	7	ozaki	ozaki	PROPN
ejpam-864	220	8	and	and	CCONJ
ejpam-864	220	9	m.	m.	PROPN
ejpam-864	220	10	nunokawa	nunokawa	PROPN
ejpam-864	220	11	,	,	PUNCT
ejpam-864	220	12	the	the	DET
ejpam-864	220	13	schwarzian	schwarzian	PROPN
ejpam-864	220	14	derivative	derivative	ADJ
ejpam-864	220	15	and	and	CCONJ
ejpam-864	220	16	univalent	univalent	ADJ
ejpam-864	220	17	functions	function	NOUN
ejpam-864	220	18	,	,	PUNCT
ejpam-864	220	19	proc	proc	NOUN
ejpam-864	220	20	.	.	PUNCT
ejpam-864	221	1	amer	amer	PROPN
ejpam-864	221	2	.	.	PUNCT
ejpam-864	221	3	math	math	PROPN
ejpam-864	221	4	.	.	PUNCT
ejpam-864	222	1	soc	soc	PROPN
ejpam-864	222	2	.	.	PUNCT
ejpam-864	223	1	33	33	NUM
ejpam-864	223	2	,	,	PUNCT
ejpam-864	223	3	392–394	392–394	NUM
ejpam-864	223	4	.	.	NOUN
ejpam-864	223	5	1972	1972	NUM
ejpam-864	223	6	.	.	PUNCT
ejpam-864	224	1	[	[	X
ejpam-864	224	2	11	11	NUM
ejpam-864	224	3	]	]	X
ejpam-864	224	4	v.	v.	CCONJ
ejpam-864	224	5	pescar	pescar	PROPN
ejpam-864	224	6	,	,	PUNCT
ejpam-864	224	7	a	a	DET
ejpam-864	224	8	new	new	ADJ
ejpam-864	224	9	generalization	generalization	NOUN
ejpam-864	224	10	of	of	ADP
ejpam-864	224	11	ahlfor	ahlfor	PROPN
ejpam-864	224	12	’s	’s	PART
ejpam-864	224	13	and	and	CCONJ
ejpam-864	224	14	becker	becker	PROPN
ejpam-864	224	15	’s	’s	PART
ejpam-864	224	16	criterion	criterion	NOUN
ejpam-864	224	17	of	of	ADP
ejpam-864	224	18	univalence	univalence	PROPN
ejpam-864	224	19	,	,	PUNCT
ejpam-864	224	20	bull	bull	NOUN
ejpam-864	224	21	.	.	PUNCT
ejpam-864	225	1	malaysian	malaysian	ADJ
ejpam-864	225	2	math	math	PROPN
ejpam-864	225	3	.	.	PUNCT
ejpam-864	226	1	soc	soc	PROPN
ejpam-864	226	2	.	.	PUNCT
ejpam-864	227	1	(	(	PUNCT
ejpam-864	227	2	second	second	ADJ
ejpam-864	227	3	series	series	NOUN
ejpam-864	227	4	)	)	PUNCT
ejpam-864	227	5	19	19	NUM
ejpam-864	227	6	,	,	PUNCT
ejpam-864	227	7	53	53	NUM
ejpam-864	227	8	-	-	SYM
ejpam-864	227	9	54	54	NUM
ejpam-864	227	10	.	.	PUNCT
ejpam-864	227	11	1996	1996	NUM
ejpam-864	227	12	.	.	PUNCT
ejpam-864	228	1	[	[	X
ejpam-864	228	2	12	12	NUM
ejpam-864	228	3	]	]	X
ejpam-864	228	4	v.	v.	X
ejpam-864	228	5	pescar	pescar	NOUN
ejpam-864	228	6	,	,	PUNCT
ejpam-864	228	7	on	on	ADP
ejpam-864	228	8	the	the	DET
ejpam-864	228	9	univalence	univalence	NOUN
ejpam-864	228	10	of	of	ADP
ejpam-864	228	11	two	two	NUM
ejpam-864	228	12	integral	integral	ADJ
ejpam-864	228	13	operators	operator	NOUN
ejpam-864	228	14	,	,	PUNCT
ejpam-864	228	15	j.	j.	PROPN
ejpam-864	228	16	indian	indian	PROPN
ejpam-864	228	17	acad	acad	PROPN
ejpam-864	228	18	.	.	PUNCT
ejpam-864	229	1	math	math	NOUN
ejpam-864	229	2	.	.	PUNCT
ejpam-864	230	1	27	27	NUM
ejpam-864	230	2	,	,	PUNCT
ejpam-864	230	3	239243	239243	NUM
ejpam-864	230	4	.	.	PUNCT
ejpam-864	231	1	2005	2005	NUM
ejpam-864	231	2	.	.	PUNCT
ejpam-864	232	1	[	[	X
ejpam-864	232	2	13	13	NUM
ejpam-864	232	3	]	]	X
ejpam-864	232	4	d.	d.	PROPN
ejpam-864	232	5	raducanu	raducanu	PROPN
ejpam-864	232	6	,	,	PUNCT
ejpam-864	232	7	i.	i.	PROPN
ejpam-864	232	8	radomir	radomir	PROPN
ejpam-864	232	9	,	,	PUNCT
ejpam-864	232	10	m.	m.	PROPN
ejpam-864	232	11	e.	e.	PROPN
ejpam-864	232	12	gageonea	gageonea	PROPN
ejpam-864	232	13	,	,	PUNCT
ejpam-864	232	14	n.	n.	PROPN
ejpam-864	232	15	r.	r.	PROPN
ejpam-864	232	16	pascu	pascu	PROPN
ejpam-864	232	17	,	,	PUNCT
ejpam-864	232	18	a	a	DET
ejpam-864	232	19	generalization	generalization	NOUN
ejpam-864	232	20	of	of	ADP
ejpam-864	232	21	ozaki	ozaki	PROPN
ejpam-864	232	22	–	–	PUNCT
ejpam-864	232	23	nunokawa	nunokawa	PROPN
ejpam-864	232	24	’s	’s	PART
ejpam-864	232	25	univalence	univalence	NOUN
ejpam-864	232	26	criterion	criterion	NOUN
ejpam-864	232	27	,	,	PUNCT
ejpam-864	232	28	j.	j.	PROPN
ejpam-864	232	29	inequal	inequal	PROPN
ejpam-864	232	30	.	.	PUNCT
ejpam-864	233	1	pure	pure	ADJ
ejpam-864	233	2	appl	appl	PROPN
ejpam-864	233	3	.	.	PUNCT
ejpam-864	234	1	math	math	PROPN
ejpam-864	234	2	,	,	PUNCT
ejpam-864	234	3	vol	vol	NOUN
ejpam-864	234	4	.	.	PUNCT
ejpam-864	235	1	[	[	X
ejpam-864	235	2	14	14	NUM
ejpam-864	235	3	]	]	X
ejpam-864	235	4	n.	n.	PROPN
ejpam-864	235	5	seenivasagan	seenivasagan	PROPN
ejpam-864	235	6	,	,	PUNCT
ejpam-864	235	7	sufficient	sufficient	ADJ
ejpam-864	235	8	conditions	condition	NOUN
ejpam-864	235	9	for	for	ADP
ejpam-864	235	10	univalence	univalence	NOUN
ejpam-864	235	11	,	,	PUNCT
ejpam-864	235	12	applied	apply	VERB
ejpam-864	235	13	math.e	math.e	NOUN
ejpam-864	235	14	-	-	PUNCT
ejpam-864	235	15	notes	note	NOUN
ejpam-864	235	16	,	,	PUNCT
ejpam-864	235	17	8	8	NUM
ejpam-864	235	18	,	,	PUNCT
ejpam-864	235	19	30	30	NUM
ejpam-864	235	20	-	-	SYM
ejpam-864	235	21	35	35	NUM
ejpam-864	235	22	.	.	PUNCT
ejpam-864	235	23	2008	2008	NUM
ejpam-864	235	24	.	.	PUNCT
ejpam-864	236	1	[	[	X
ejpam-864	236	2	15	15	NUM
ejpam-864	236	3	]	]	X
ejpam-864	236	4	n.	n.	NOUN
ejpam-864	236	5	seenivasagan	seenivasagan	PROPN
ejpam-864	236	6	and	and	CCONJ
ejpam-864	236	7	d.	d.	PROPN
ejpam-864	236	8	breaz	breaz	PROPN
ejpam-864	236	9	,	,	PUNCT
ejpam-864	236	10	certain	certain	ADJ
ejpam-864	236	11	sufficient	sufficient	ADJ
ejpam-864	236	12	conditions	condition	NOUN
ejpam-864	236	13	for	for	ADP
ejpam-864	236	14	univalence	univalence	NOUN
ejpam-864	236	15	,	,	PUNCT
ejpam-864	236	16	general	general	ADJ
ejpam-864	236	17	math.15	math.15	NOUN
ejpam-864	236	18	(	(	PUNCT
ejpam-864	236	19	4	4	NUM
ejpam-864	236	20	)	)	PUNCT
ejpam-864	236	21	,	,	PUNCT
ejpam-864	236	22	7	7	NUM
ejpam-864	236	23	-	-	SYM
ejpam-864	236	24	15	15	NUM
ejpam-864	236	25	.	.	PUNCT
ejpam-864	236	26	2007	2007	NUM
ejpam-864	236	27	.	.	PUNCT
ejpam-864	237	1	[	[	X
ejpam-864	237	2	16	16	NUM
ejpam-864	237	3	]	]	X
ejpam-864	237	4	c.	c.	PROPN
ejpam-864	237	5	selvaraj	selvaraj	PROPN
ejpam-864	237	6	and	and	CCONJ
ejpam-864	237	7	k.	k.	PROPN
ejpam-864	237	8	r.	r.	PROPN
ejpam-864	237	9	karthikeyan	karthikeyan	PROPN
ejpam-864	237	10	,	,	PUNCT
ejpam-864	237	11	sufficient	sufficient	ADJ
ejpam-864	237	12	conditions	condition	NOUN
ejpam-864	237	13	for	for	ADP
ejpam-864	237	14	univalence	univalence	NOUN
ejpam-864	237	15	of	of	ADP
ejpam-864	237	16	a	a	DET
ejpam-864	237	17	general	general	ADJ
ejpam-864	237	18	integral	integral	ADJ
ejpam-864	237	19	operator	operator	NOUN
ejpam-864	237	20	,	,	PUNCT
ejpam-864	237	21	acta	acta	PROPN
ejpam-864	237	22	universitatis	universitatis	PROPN
ejpam-864	237	23	apulensis	apulensis	NOUN
ejpam-864	237	24	,	,	PUNCT
ejpam-864	237	25	no	no	INTJ
ejpam-864	237	26	.	.	NOUN
ejpam-864	237	27	17	17	NUM
ejpam-864	237	28	,	,	PUNCT
ejpam-864	237	29	87	87	NUM
ejpam-864	237	30	-	-	SYM
ejpam-864	237	31	94	94	NUM
ejpam-864	237	32	.	.	PUNCT
ejpam-864	237	33	5	5	NUM
ejpam-864	237	34	,	,	PUNCT
ejpam-864	237	35	issue	issue	NOUN
ejpam-864	237	36	4	4	NUM
ejpam-864	237	37	,	,	PUNCT
ejpam-864	237	38	paper	paper	NOUN
ejpam-864	237	39	no	no	NOUN
ejpam-864	237	40	.	.	NOUN
ejpam-864	237	41	95	95	NUM
ejpam-864	237	42	(	(	PUNCT
ejpam-864	237	43	2004	2004	NUM
ejpam-864	237	44	)	)	PUNCT
ejpam-864	237	45	.	.	PUNCT
ejpam-864	238	1	[	[	X
ejpam-864	238	2	17	17	NUM
ejpam-864	238	3	]	]	X
ejpam-864	238	4	h.m	h.m	PROPN
ejpam-864	238	5	.	.	PROPN
ejpam-864	238	6	srivastava	srivastava	PROPN
ejpam-864	238	7	,	,	PUNCT
ejpam-864	238	8	e.	e.	PROPN
ejpam-864	238	9	deniz	deniz	PROPN
ejpam-864	238	10	and	and	CCONJ
ejpam-864	238	11	h.	h.	PROPN
ejpam-864	238	12	orhan	orhan	PROPN
ejpam-864	238	13	,	,	PUNCT
ejpam-864	238	14	some	some	DET
ejpam-864	238	15	general	general	ADJ
ejpam-864	238	16	univalence	univalence	NOUN
ejpam-864	238	17	criteria	criterion	NOUN
ejpam-864	238	18	for	for	ADP
ejpam-864	238	19	a	a	DET
ejpam-864	238	20	family	family	NOUN
ejpam-864	238	21	of	of	ADP
ejpam-864	238	22	integral	integral	ADJ
ejpam-864	238	23	operators	operator	NOUN
ejpam-864	238	24	,	,	PUNCT
ejpam-864	238	25	appl	appl	PROPN
ejpam-864	238	26	.	.	PROPN
ejpam-864	238	27	math	math	PROPN
ejpam-864	238	28	.	.	PUNCT
ejpam-864	239	1	comp	comp	PROPN
ejpam-864	239	2	.	.	PUNCT
ejpam-864	239	3	,	,	PUNCT
ejpam-864	239	4	215	215	NUM
ejpam-864	239	5	,	,	PUNCT
ejpam-864	239	6	3696	3696	NUM
ejpam-864	239	7	-	-	SYM
ejpam-864	239	8	3701	3701	NUM
ejpam-864	239	9	.	.	PUNCT
ejpam-864	240	1	2010	2010	NUM
ejpam-864	240	2	.	.	PUNCT