id	sid	tid	token	lemma	pos
ejpam-2546	1	1	european	european	PROPN
ejpam-2546	1	2	journal	journal	PROPN
ejpam-2546	1	3	of	of	ADP
ejpam-2546	1	4	pure	pure	ADJ
ejpam-2546	1	5	and	and	CCONJ
ejpam-2546	1	6	applied	apply	VERB
ejpam-2546	1	7	mathematics	mathematic	NOUN
ejpam-2546	1	8	vol	vol	NOUN
ejpam-2546	1	9	.	.	PROPN
ejpam-2546	2	1	10	10	NUM
ejpam-2546	2	2	,	,	PUNCT
ejpam-2546	2	3	no	no	INTJ
ejpam-2546	2	4	.	.	NOUN
ejpam-2546	2	5	4	4	NUM
ejpam-2546	2	6	,	,	PUNCT
ejpam-2546	2	7	2017	2017	NUM
ejpam-2546	2	8	,	,	PUNCT
ejpam-2546	2	9	638	638	NUM
ejpam-2546	2	10	-	-	SYM
ejpam-2546	2	11	644	644	NUM
ejpam-2546	2	12	issn	issn	PROPN
ejpam-2546	2	13	1307	1307	NUM
ejpam-2546	2	14	-	-	SYM
ejpam-2546	2	15	5543	5543	NUM
ejpam-2546	2	16	–	–	PUNCT
ejpam-2546	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2546	2	18	published	publish	VERB
ejpam-2546	2	19	by	by	ADP
ejpam-2546	2	20	new	new	PROPN
ejpam-2546	2	21	york	york	PROPN
ejpam-2546	2	22	business	business	PROPN
ejpam-2546	2	23	global	global	ADJ
ejpam-2546	2	24	coefficient	coefficient	NOUN
ejpam-2546	2	25	estimates	estimate	NOUN
ejpam-2546	2	26	for	for	ADP
ejpam-2546	2	27	the	the	DET
ejpam-2546	2	28	generalized	generalized	ADJ
ejpam-2546	2	29	subclass	subclass	NOUN
ejpam-2546	2	30	of	of	ADP
ejpam-2546	2	31	analytic	analytic	ADJ
ejpam-2546	2	32	and	and	CCONJ
ejpam-2546	2	33	bi	bi	ADJ
ejpam-2546	2	34	-	-	ADJ
ejpam-2546	2	35	univalent	univalent	ADJ
ejpam-2546	2	36	functions	function	NOUN
ejpam-2546	2	37	haigen	haigen	PROPN
ejpam-2546	2	38	xiao1	xiao1	PROPN
ejpam-2546	2	39	,	,	PUNCT
ejpam-2546	2	40	qinghua	qinghua	PROPN
ejpam-2546	2	41	xu2,∗	xu2,∗	PROPN
ejpam-2546	2	42	1	1	NUM
ejpam-2546	2	43	the	the	DET
ejpam-2546	2	44	binjiang	binjiang	PROPN
ejpam-2546	2	45	campus	campus	PROPN
ejpam-2546	2	46	of	of	ADP
ejpam-2546	2	47	the	the	DET
ejpam-2546	2	48	high	high	ADJ
ejpam-2546	2	49	school	school	NOUN
ejpam-2546	2	50	attached	attach	VERB
ejpam-2546	2	51	to	to	ADP
ejpam-2546	2	52	jiangxi	jiangxi	PROPN
ejpam-2546	2	53	normal	normal	PROPN
ejpam-2546	2	54	university	university	PROPN
ejpam-2546	2	55	,	,	PUNCT
ejpam-2546	2	56	china	china	PROPN
ejpam-2546	2	57	2	2	NUM
ejpam-2546	2	58	school	school	NOUN
ejpam-2546	2	59	of	of	ADP
ejpam-2546	2	60	science	science	NOUN
ejpam-2546	2	61	,	,	PUNCT
ejpam-2546	2	62	zhejiang	zhejiang	PROPN
ejpam-2546	2	63	university	university	PROPN
ejpam-2546	2	64	of	of	ADP
ejpam-2546	2	65	science	science	NOUN
ejpam-2546	2	66	and	and	CCONJ
ejpam-2546	2	67	technology	technology	NOUN
ejpam-2546	2	68	,	,	PUNCT
ejpam-2546	2	69	china	china	PROPN
ejpam-2546	2	70	abstract	abstract	NOUN
ejpam-2546	2	71	.	.	PUNCT
ejpam-2546	3	1	in	in	ADP
ejpam-2546	3	2	this	this	DET
ejpam-2546	3	3	paper	paper	NOUN
ejpam-2546	3	4	,	,	PUNCT
ejpam-2546	3	5	we	we	PRON
ejpam-2546	3	6	introduce	introduce	VERB
ejpam-2546	3	7	and	and	CCONJ
ejpam-2546	3	8	investigate	investigate	VERB
ejpam-2546	3	9	an	an	DET
ejpam-2546	3	10	interesting	interesting	ADJ
ejpam-2546	3	11	subclass	subclass	NOUN
ejpam-2546	3	12	bh	bh	NOUN
ejpam-2546	3	13	,	,	PUNCT
ejpam-2546	3	14	pς	pς	ADP
ejpam-2546	3	15	(	(	PUNCT
ejpam-2546	3	16	λ	λ	X
ejpam-2546	3	17	)	)	PUNCT
ejpam-2546	3	18	of	of	ADP
ejpam-2546	3	19	analytic	analytic	ADJ
ejpam-2546	3	20	and	and	CCONJ
ejpam-2546	3	21	bi	bi	ADJ
ejpam-2546	3	22	-	-	ADJ
ejpam-2546	3	23	univalent	univalent	ADJ
ejpam-2546	3	24	functions	function	NOUN
ejpam-2546	3	25	in	in	ADP
ejpam-2546	3	26	the	the	DET
ejpam-2546	3	27	open	open	ADJ
ejpam-2546	3	28	unit	unit	NOUN
ejpam-2546	3	29	disk	disk	NOUN
ejpam-2546	3	30	u.	u.	NOUN
ejpam-2546	3	31	for	for	ADP
ejpam-2546	3	32	functions	function	NOUN
ejpam-2546	3	33	belonging	belong	VERB
ejpam-2546	3	34	to	to	ADP
ejpam-2546	3	35	the	the	DET
ejpam-2546	3	36	class	class	NOUN
ejpam-2546	3	37	bh	bh	NOUN
ejpam-2546	3	38	,	,	PUNCT
ejpam-2546	3	39	pς	pς	ADP
ejpam-2546	3	40	(	(	PUNCT
ejpam-2546	3	41	λ	λ	X
ejpam-2546	3	42	)	)	PUNCT
ejpam-2546	3	43	,	,	PUNCT
ejpam-2546	3	44	obtain	obtain	VERB
ejpam-2546	3	45	estimates	estimate	NOUN
ejpam-2546	3	46	on	on	ADP
ejpam-2546	3	47	the	the	DET
ejpam-2546	3	48	first	first	ADJ
ejpam-2546	3	49	two	two	NUM
ejpam-2546	3	50	coefficients	coefficient	NOUN
ejpam-2546	3	51	|a2|	|a2|	NOUN
ejpam-2546	3	52	and	and	CCONJ
ejpam-2546	3	53	|a3|	|a3|	NOUN
ejpam-2546	3	54	.	.	PUNCT
ejpam-2546	4	1	the	the	DET
ejpam-2546	4	2	results	result	NOUN
ejpam-2546	4	3	presented	present	VERB
ejpam-2546	4	4	in	in	ADP
ejpam-2546	4	5	this	this	DET
ejpam-2546	4	6	paper	paper	NOUN
ejpam-2546	4	7	generalize	generalize	VERB
ejpam-2546	4	8	and	and	CCONJ
ejpam-2546	4	9	improve	improve	VERB
ejpam-2546	4	10	some	some	DET
ejpam-2546	4	11	recent	recent	ADJ
ejpam-2546	4	12	works	work	NOUN
ejpam-2546	4	13	of	of	ADP
ejpam-2546	4	14	frasin	frasin	NOUN
ejpam-2546	4	15	et	et	PROPN
ejpam-2546	4	16	al	al	PROPN
ejpam-2546	4	17	.	.	PUNCT
ejpam-2546	5	1	[	[	X
ejpam-2546	5	2	b.a.frasin	b.a.frasin	NOUN
ejpam-2546	5	3	,	,	PUNCT
ejpam-2546	5	4	m.k.aouf	m.k.aouf	PROPN
ejpam-2546	5	5	,	,	PUNCT
ejpam-2546	5	6	new	new	ADJ
ejpam-2546	5	7	subclasses	subclass	NOUN
ejpam-2546	5	8	of	of	ADP
ejpam-2546	5	9	bi	bi	ADJ
ejpam-2546	5	10	-	-	ADJ
ejpam-2546	5	11	univalent	univalent	ADJ
ejpam-2546	5	12	functions	function	NOUN
ejpam-2546	5	13	,	,	PUNCT
ejpam-2546	5	14	appl	appl	PROPN
ejpam-2546	5	15	.	.	PROPN
ejpam-2546	5	16	math	math	PROPN
ejpam-2546	5	17	.	.	PUNCT
ejpam-2546	6	1	lett	lett	PROPN
ejpam-2546	6	2	.	.	PUNCT
ejpam-2546	7	1	24:1569	24:1569	PROPN
ejpam-2546	7	2	-	-	SYM
ejpam-2546	7	3	1573	1573	NUM
ejpam-2546	7	4	,	,	PUNCT
ejpam-2546	7	5	2011	2011	NUM
ejpam-2546	7	6	]	]	PUNCT
ejpam-2546	7	7	and	and	CCONJ
ejpam-2546	7	8	srivastava	srivastava	PROPN
ejpam-2546	7	9	et	et	PROPN
ejpam-2546	7	10	al	al	PROPN
ejpam-2546	7	11	.	.	PUNCT
ejpam-2546	8	1	[	[	X
ejpam-2546	8	2	qing	qe	VERB
ejpam-2546	8	3	-	-	PUNCT
ejpam-2546	8	4	hua	hua	PROPN
ejpam-2546	8	5	xu	xu	PROPN
ejpam-2546	8	6	,	,	PUNCT
ejpam-2546	8	7	ying	ying	PROPN
ejpam-2546	8	8	-	-	PUNCT
ejpam-2546	8	9	chun	chun	PROPN
ejpam-2546	8	10	gui	gui	PROPN
ejpam-2546	8	11	,	,	PUNCT
ejpam-2546	8	12	h.m.srivastava	h.m.srivastava	PROPN
ejpam-2546	8	13	,	,	PUNCT
ejpam-2546	8	14	coefficient	coefficient	NOUN
ejpam-2546	8	15	estimates	estimate	NOUN
ejpam-2546	8	16	for	for	ADP
ejpam-2546	8	17	a	a	DET
ejpam-2546	8	18	certain	certain	ADJ
ejpam-2546	8	19	subclass	subclass	NOUN
ejpam-2546	8	20	of	of	ADP
ejpam-2546	8	21	analytic	analytic	ADJ
ejpam-2546	8	22	and	and	CCONJ
ejpam-2546	8	23	bi	bi	ADJ
ejpam-2546	8	24	-	-	ADJ
ejpam-2546	8	25	univalent	univalent	ADJ
ejpam-2546	8	26	functions	function	NOUN
ejpam-2546	8	27	,	,	PUNCT
ejpam-2546	8	28	appl	appl	PROPN
ejpam-2546	8	29	.	.	PROPN
ejpam-2546	8	30	math	math	PROPN
ejpam-2546	8	31	.	.	PUNCT
ejpam-2546	9	1	lett	lett	PROPN
ejpam-2546	9	2	.	.	PUNCT
ejpam-2546	10	1	25	25	NUM
ejpam-2546	10	2	:	:	PUNCT
ejpam-2546	10	3	990	990	NUM
ejpam-2546	10	4	-	-	SYM
ejpam-2546	10	5	994	994	NUM
ejpam-2546	10	6	,	,	PUNCT
ejpam-2546	10	7	2012	2012	NUM
ejpam-2546	10	8	]	]	PUNCT
ejpam-2546	10	9	.	.	PUNCT
ejpam-2546	11	1	2010	2010	NUM
ejpam-2546	11	2	mathematics	mathematic	NOUN
ejpam-2546	11	3	subject	subject	NOUN
ejpam-2546	11	4	classifications	classification	NOUN
ejpam-2546	11	5	:	:	PUNCT
ejpam-2546	11	6	30c45	30c45	NUM
ejpam-2546	11	7	key	key	ADJ
ejpam-2546	11	8	words	word	NOUN
ejpam-2546	11	9	and	and	CCONJ
ejpam-2546	11	10	phrases	phrase	NOUN
ejpam-2546	11	11	:	:	PUNCT
ejpam-2546	11	12	univalent	univalent	ADJ
ejpam-2546	11	13	functions	function	NOUN
ejpam-2546	11	14	,	,	PUNCT
ejpam-2546	11	15	bi	bi	ADJ
ejpam-2546	11	16	-	-	ADJ
ejpam-2546	11	17	univalent	univalent	ADJ
ejpam-2546	11	18	functions	function	NOUN
ejpam-2546	11	19	,	,	PUNCT
ejpam-2546	11	20	coefficient	coefficient	NOUN
ejpam-2546	11	21	bounds	bound	VERB
ejpam-2546	11	22	1	1	NUM
ejpam-2546	11	23	.	.	PUNCT
ejpam-2546	12	1	introduction	introduction	NOUN
ejpam-2546	12	2	and	and	CCONJ
ejpam-2546	12	3	definitions	definition	NOUN
ejpam-2546	12	4	let	let	VERB
ejpam-2546	12	5	a	a	DET
ejpam-2546	12	6	denote	denote	NOUN
ejpam-2546	12	7	the	the	DET
ejpam-2546	12	8	class	class	NOUN
ejpam-2546	12	9	of	of	ADP
ejpam-2546	12	10	functions	function	NOUN
ejpam-2546	12	11	of	of	ADP
ejpam-2546	12	12	the	the	DET
ejpam-2546	12	13	form	form	NOUN
ejpam-2546	12	14	f(z	f(z	NOUN
ejpam-2546	12	15	)	)	PUNCT
ejpam-2546	13	1	=	=	SYM
ejpam-2546	13	2	z	z	NOUN
ejpam-2546	14	1	+	+	NOUN
ejpam-2546	14	2	∞∑	∞∑	NUM
ejpam-2546	14	3	n=2	n=2	ADV
ejpam-2546	14	4	anz	anz	NOUN
ejpam-2546	14	5	n	n	CCONJ
ejpam-2546	14	6	,	,	PUNCT
ejpam-2546	14	7	(	(	PUNCT
ejpam-2546	14	8	1	1	X
ejpam-2546	14	9	)	)	PUNCT
ejpam-2546	14	10	which	which	PRON
ejpam-2546	14	11	are	be	AUX
ejpam-2546	14	12	analytic	analytic	ADJ
ejpam-2546	14	13	in	in	ADP
ejpam-2546	14	14	the	the	DET
ejpam-2546	14	15	open	open	ADJ
ejpam-2546	14	16	unit	unit	NOUN
ejpam-2546	14	17	disk	disk	NOUN
ejpam-2546	14	18	u	u	NOUN
ejpam-2546	14	19	=	=	PUNCT
ejpam-2546	14	20	{	{	PUNCT
ejpam-2546	14	21	z	z	PROPN
ejpam-2546	14	22	∈	∈	PROPN
ejpam-2546	14	23	c	c	NOUN
ejpam-2546	14	24	:	:	PUNCT
ejpam-2546	14	25	|z|	|z|	NOUN
ejpam-2546	14	26	<	<	X
ejpam-2546	14	27	1	1	NUM
ejpam-2546	14	28	}	}	PUNCT
ejpam-2546	14	29	.	.	PUNCT
ejpam-2546	15	1	we	we	PRON
ejpam-2546	15	2	denote	denote	VERB
ejpam-2546	15	3	by	by	ADP
ejpam-2546	15	4	s	s	PRON
ejpam-2546	15	5	the	the	DET
ejpam-2546	15	6	subclass	subclass	NOUN
ejpam-2546	15	7	of	of	ADP
ejpam-2546	15	8	the	the	DET
ejpam-2546	15	9	analytic	analytic	ADJ
ejpam-2546	15	10	function	function	NOUN
ejpam-2546	15	11	class	class	NOUN
ejpam-2546	15	12	a	a	DET
ejpam-2546	15	13	consisting	consisting	NOUN
ejpam-2546	15	14	of	of	ADP
ejpam-2546	15	15	all	all	DET
ejpam-2546	15	16	functions	function	NOUN
ejpam-2546	15	17	in	in	ADP
ejpam-2546	15	18	a	a	PRON
ejpam-2546	15	19	which	which	PRON
ejpam-2546	15	20	are	be	AUX
ejpam-2546	15	21	also	also	ADV
ejpam-2546	15	22	univalent	univalent	ADJ
ejpam-2546	15	23	in	in	ADP
ejpam-2546	15	24	u.	u.	PROPN
ejpam-2546	15	25	it	it	PRON
ejpam-2546	15	26	is	be	AUX
ejpam-2546	15	27	well	well	ADV
ejpam-2546	15	28	known	know	VERB
ejpam-2546	15	29	that	that	SCONJ
ejpam-2546	15	30	every	every	DET
ejpam-2546	15	31	function	function	NOUN
ejpam-2546	15	32	f	f	PROPN
ejpam-2546	15	33	∈	∈	PROPN
ejpam-2546	16	1	s	s	PART
ejpam-2546	16	2	has	have	VERB
ejpam-2546	16	3	an	an	DET
ejpam-2546	16	4	inverse	inverse	NOUN
ejpam-2546	16	5	f−1	f−1	PROPN
ejpam-2546	16	6	,	,	PUNCT
ejpam-2546	16	7	defined	define	VERB
ejpam-2546	16	8	by	by	ADP
ejpam-2546	16	9	f−1(f(z	f−1(f(z	NOUN
ejpam-2546	16	10	)	)	PUNCT
ejpam-2546	16	11	)	)	PUNCT
ejpam-2546	17	1	=	=	PUNCT
ejpam-2546	17	2	z	z	NOUN
ejpam-2546	17	3	(	(	PUNCT
ejpam-2546	17	4	z	z	NOUN
ejpam-2546	17	5	∈	∈	PROPN
ejpam-2546	17	6	u	u	NOUN
ejpam-2546	17	7	)	)	PUNCT
ejpam-2546	17	8	∗corresponding	∗corresponde	VERB
ejpam-2546	17	9	author	author	NOUN
ejpam-2546	17	10	.	.	PUNCT
ejpam-2546	18	1	email	email	NOUN
ejpam-2546	18	2	addresses	address	NOUN
ejpam-2546	18	3	:	:	PUNCT
ejpam-2546	18	4	haigen2008@sina.com	haigen2008@sina.com	X
ejpam-2546	18	5	(	(	PUNCT
ejpam-2546	18	6	h.g	h.g	PROPN
ejpam-2546	18	7	xiao	xiao	PROPN
ejpam-2546	18	8	)	)	PUNCT
ejpam-2546	18	9	,	,	PUNCT
ejpam-2546	18	10	xuqh@mail.ustc.edu.cn	xuqh@mail.ustc.edu.cn	PROPN
ejpam-2546	18	11	(	(	PUNCT
ejpam-2546	18	12	q.h.xu	q.h.xu	ADJ
ejpam-2546	18	13	)	)	PUNCT
ejpam-2546	18	14	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2546	19	1	638	638	NUM
ejpam-2546	19	2	c	c	X
ejpam-2546	19	3	©	©	PROPN
ejpam-2546	19	4	2017	2017	NUM
ejpam-2546	19	5	ejpam	ejpam	VERB
ejpam-2546	19	6	all	all	DET
ejpam-2546	19	7	rights	right	NOUN
ejpam-2546	19	8	reserved	reserve	VERB
ejpam-2546	19	9	.	.	PUNCT
ejpam-2546	20	1	h.g	h.g	PROPN
ejpam-2546	20	2	xiao	xiao	PROPN
ejpam-2546	20	3	,	,	PUNCT
ejpam-2546	20	4	q.h.xu	q.h.xu	ADV
ejpam-2546	20	5	/	/	SYM
ejpam-2546	20	6	eur	eur	NOUN
ejpam-2546	20	7	.	.	PUNCT
ejpam-2546	21	1	j.	j.	PROPN
ejpam-2546	21	2	pure	pure	PROPN
ejpam-2546	21	3	appl	appl	PROPN
ejpam-2546	21	4	.	.	PROPN
ejpam-2546	21	5	math	math	PROPN
ejpam-2546	21	6	,	,	PUNCT
ejpam-2546	21	7	10	10	NUM
ejpam-2546	21	8	(	(	PUNCT
ejpam-2546	21	9	4	4	NUM
ejpam-2546	21	10	)	)	PUNCT
ejpam-2546	21	11	(	(	PUNCT
ejpam-2546	21	12	2017	2017	NUM
ejpam-2546	21	13	)	)	PUNCT
ejpam-2546	21	14	,	,	PUNCT
ejpam-2546	21	15	638	638	NUM
ejpam-2546	21	16	-	-	SYM
ejpam-2546	21	17	644	644	NUM
ejpam-2546	21	18	639	639	NUM
ejpam-2546	21	19	and	and	CCONJ
ejpam-2546	21	20	f−1(f(w	f−1(f(w	PROPN
ejpam-2546	21	21	)	)	PUNCT
ejpam-2546	21	22	)	)	PUNCT
ejpam-2546	22	1	=	=	SYM
ejpam-2546	23	1	w	w	X
ejpam-2546	23	2	(	(	PUNCT
ejpam-2546	23	3	|w|	|w|	VERB
ejpam-2546	23	4	<	<	X
ejpam-2546	23	5	r0(f	r0(f	PROPN
ejpam-2546	23	6	)	)	PUNCT
ejpam-2546	23	7	;	;	PUNCT
ejpam-2546	23	8	r0(f	r0(f	X
ejpam-2546	23	9	)	)	PUNCT
ejpam-2546	23	10	≥	≥	NOUN
ejpam-2546	23	11	1	1	NUM
ejpam-2546	23	12	4	4	NUM
ejpam-2546	23	13	)	)	PUNCT
ejpam-2546	23	14	.	.	PUNCT
ejpam-2546	24	1	in	in	ADP
ejpam-2546	24	2	fact	fact	NOUN
ejpam-2546	24	3	,	,	PUNCT
ejpam-2546	24	4	the	the	DET
ejpam-2546	24	5	inverse	inverse	NOUN
ejpam-2546	24	6	function	function	NOUN
ejpam-2546	24	7	f−1	f−1	PROPN
ejpam-2546	24	8	is	be	AUX
ejpam-2546	24	9	given	give	VERB
ejpam-2546	24	10	by	by	ADP
ejpam-2546	24	11	f−1(w	f−1(w	PROPN
ejpam-2546	24	12	)	)	PUNCT
ejpam-2546	24	13	=	=	PUNCT
ejpam-2546	25	1	w	w	PROPN
ejpam-2546	25	2	−	−	NOUN
ejpam-2546	25	3	a2w	a2w	PROPN
ejpam-2546	25	4	2	2	NUM
ejpam-2546	25	5	+	+	CCONJ
ejpam-2546	25	6	(	(	PUNCT
ejpam-2546	25	7	2a2	2a2	NUM
ejpam-2546	25	8	2	2	NUM
ejpam-2546	25	9	−	−	NOUN
ejpam-2546	25	10	a3)w3	a3)w3	NOUN
ejpam-2546	25	11	−	−	PROPN
ejpam-2546	26	1	(	(	PUNCT
ejpam-2546	26	2	5a3	5a3	NUM
ejpam-2546	26	3	2	2	NUM
ejpam-2546	26	4	−	−	NOUN
ejpam-2546	26	5	5a2a3	5a2a3	PROPN
ejpam-2546	27	1	+	+	CCONJ
ejpam-2546	27	2	a4)w4	a4)w4	X
ejpam-2546	27	3	+	+	X
ejpam-2546	27	4	·	·	PUNCT
ejpam-2546	27	5	·	·	PUNCT
ejpam-2546	27	6	·	·	PUNCT
ejpam-2546	27	7	.	.	PUNCT
ejpam-2546	28	1	a	a	DET
ejpam-2546	28	2	function	function	NOUN
ejpam-2546	28	3	f	f	PROPN
ejpam-2546	28	4	∈	∈	PROPN
ejpam-2546	28	5	a	a	PRON
ejpam-2546	28	6	is	be	AUX
ejpam-2546	28	7	said	say	VERB
ejpam-2546	28	8	to	to	PART
ejpam-2546	28	9	be	be	AUX
ejpam-2546	28	10	bi	bi	ADJ
ejpam-2546	28	11	-	-	ADJ
ejpam-2546	28	12	univalent	univalent	ADJ
ejpam-2546	28	13	in	in	ADP
ejpam-2546	28	14	u	u	PRON
ejpam-2546	28	15	if	if	SCONJ
ejpam-2546	28	16	both	both	DET
ejpam-2546	28	17	f(z	f(z	NOUN
ejpam-2546	28	18	)	)	PUNCT
ejpam-2546	28	19	and	and	CCONJ
ejpam-2546	28	20	f−1(z	f−1(z	PROPN
ejpam-2546	28	21	)	)	PUNCT
ejpam-2546	28	22	are	be	AUX
ejpam-2546	28	23	univalent	univalent	ADJ
ejpam-2546	28	24	in	in	ADP
ejpam-2546	28	25	u.	u.	NOUN
ejpam-2546	28	26	let	let	VERB
ejpam-2546	28	27	σ	σ	NOUN
ejpam-2546	28	28	denote	denote	VERB
ejpam-2546	28	29	the	the	DET
ejpam-2546	28	30	class	class	NOUN
ejpam-2546	28	31	of	of	ADP
ejpam-2546	28	32	bi	bi	ADJ
ejpam-2546	28	33	-	-	ADJ
ejpam-2546	28	34	univalent	univalent	ADJ
ejpam-2546	28	35	functions	function	NOUN
ejpam-2546	28	36	in	in	ADP
ejpam-2546	28	37	u	u	NOUN
ejpam-2546	28	38	given	give	VERB
ejpam-2546	28	39	(	(	PUNCT
ejpam-2546	28	40	1	1	NUM
ejpam-2546	28	41	)	)	PUNCT
ejpam-2546	28	42	.	.	PUNCT
ejpam-2546	29	1	the	the	DET
ejpam-2546	29	2	coefficient	coefficient	NOUN
ejpam-2546	29	3	bounds	bound	VERB
ejpam-2546	29	4	for	for	ADP
ejpam-2546	29	5	the	the	DET
ejpam-2546	29	6	class	class	NOUN
ejpam-2546	29	7	σ	σ	PROPN
ejpam-2546	29	8	have	have	AUX
ejpam-2546	29	9	been	be	AUX
ejpam-2546	29	10	studied	study	VERB
ejpam-2546	29	11	by	by	ADP
ejpam-2546	29	12	lewin	lewin	PROPN
ejpam-2546	30	1	[	[	X
ejpam-2546	30	2	1	1	NUM
ejpam-2546	30	3	]	]	PUNCT
ejpam-2546	30	4	,	,	PUNCT
ejpam-2546	30	5	brannan	brannan	PROPN
ejpam-2546	30	6	and	and	CCONJ
ejpam-2546	30	7	clunie	clunie	NOUN
ejpam-2546	31	1	[	[	X
ejpam-2546	31	2	2	2	NUM
ejpam-2546	31	3	]	]	PUNCT
ejpam-2546	31	4	,	,	PUNCT
ejpam-2546	31	5	netanyahu	netanyahu	PROPN
ejpam-2546	31	6	[	[	X
ejpam-2546	31	7	3	3	NUM
ejpam-2546	31	8	]	]	PUNCT
ejpam-2546	31	9	.	.	PUNCT
ejpam-2546	32	1	the	the	DET
ejpam-2546	32	2	coefficient	coefficient	NOUN
ejpam-2546	32	3	estimate	estimate	NOUN
ejpam-2546	32	4	problem	problem	NOUN
ejpam-2546	32	5	for	for	ADP
ejpam-2546	32	6	|an|	|an|	NOUN
ejpam-2546	32	7	(	(	PUNCT
ejpam-2546	32	8	n	n	NOUN
ejpam-2546	32	9	∈	∈	PROPN
ejpam-2546	32	10	n	n	CCONJ
ejpam-2546	32	11	\	\	NOUN
ejpam-2546	32	12	{	{	PUNCT
ejpam-2546	32	13	1	1	NUM
ejpam-2546	32	14	,	,	PUNCT
ejpam-2546	32	15	2	2	NUM
ejpam-2546	32	16	}	}	PUNCT
ejpam-2546	32	17	;	;	PUNCT
ejpam-2546	32	18	n	n	CCONJ
ejpam-2546	32	19	:	:	PUNCT
ejpam-2546	32	20	=	=	SYM
ejpam-2546	32	21	{	{	PUNCT
ejpam-2546	32	22	1	1	NUM
ejpam-2546	32	23	,	,	PUNCT
ejpam-2546	32	24	2	2	NUM
ejpam-2546	32	25	,	,	PUNCT
ejpam-2546	32	26	3	3	NUM
ejpam-2546	32	27	,	,	PUNCT
ejpam-2546	32	28	·	·	PUNCT
ejpam-2546	32	29	·	·	PUNCT
ejpam-2546	32	30	·	·	PUNCT
ejpam-2546	32	31	}	}	PUNCT
ejpam-2546	32	32	)	)	PUNCT
ejpam-2546	32	33	is	be	AUX
ejpam-2546	32	34	presumably	presumably	ADV
ejpam-2546	32	35	still	still	ADV
ejpam-2546	32	36	an	an	DET
ejpam-2546	32	37	open	open	ADJ
ejpam-2546	32	38	problem	problem	NOUN
ejpam-2546	32	39	.	.	PUNCT
ejpam-2546	33	1	in	in	ADP
ejpam-2546	33	2	[	[	X
ejpam-2546	33	3	4](see	4](see	NUM
ejpam-2546	33	4	[	[	X
ejpam-2546	33	5	5	5	NUM
ejpam-2546	33	6	,	,	PUNCT
ejpam-2546	33	7	6	6	NUM
ejpam-2546	33	8	,	,	PUNCT
ejpam-2546	33	9	7	7	NUM
ejpam-2546	33	10	]	]	NUM
ejpam-2546	33	11	)	)	PUNCT
ejpam-2546	33	12	,	,	PUNCT
ejpam-2546	33	13	certain	certain	ADJ
ejpam-2546	33	14	subclasses	subclass	NOUN
ejpam-2546	33	15	of	of	ADP
ejpam-2546	33	16	the	the	DET
ejpam-2546	33	17	bi	bi	ADJ
ejpam-2546	33	18	-	-	ADJ
ejpam-2546	33	19	univalent	univalent	ADJ
ejpam-2546	33	20	function	function	NOUN
ejpam-2546	33	21	class	class	NOUN
ejpam-2546	33	22	σ	σ	PROPN
ejpam-2546	33	23	were	be	AUX
ejpam-2546	33	24	introduced	introduce	VERB
ejpam-2546	33	25	,	,	PUNCT
ejpam-2546	33	26	and	and	CCONJ
ejpam-2546	33	27	non	non	ADJ
ejpam-2546	33	28	-	-	ADJ
ejpam-2546	33	29	sharp	sharp	ADJ
ejpam-2546	33	30	estimates	estimate	NOUN
ejpam-2546	33	31	on	on	ADP
ejpam-2546	33	32	the	the	DET
ejpam-2546	33	33	first	first	ADJ
ejpam-2546	33	34	two	two	NUM
ejpam-2546	33	35	coefficients	coefficient	NOUN
ejpam-2546	33	36	|a2|	|a2|	NOUN
ejpam-2546	33	37	and	and	CCONJ
ejpam-2546	33	38	|a3|	|a3|	PROPN
ejpam-2546	33	39	were	be	AUX
ejpam-2546	33	40	found	find	VERB
ejpam-2546	33	41	.	.	PUNCT
ejpam-2546	34	1	recently	recently	ADV
ejpam-2546	34	2	,	,	PUNCT
ejpam-2546	34	3	frasin	frasin	NOUN
ejpam-2546	34	4	et	et	PROPN
ejpam-2546	34	5	al.[8	al.[8	PROPN
ejpam-2546	34	6	]	]	PUNCT
ejpam-2546	34	7	introduced	introduce	VERB
ejpam-2546	34	8	the	the	DET
ejpam-2546	34	9	following	follow	VERB
ejpam-2546	34	10	subclasses	subclass	NOUN
ejpam-2546	34	11	of	of	ADP
ejpam-2546	34	12	the	the	DET
ejpam-2546	34	13	bi	bi	ADJ
ejpam-2546	34	14	-	-	ADJ
ejpam-2546	34	15	univalent	univalent	ADJ
ejpam-2546	34	16	function	function	NOUN
ejpam-2546	34	17	class	class	NOUN
ejpam-2546	34	18	σ	σ	PROPN
ejpam-2546	34	19	and	and	CCONJ
ejpam-2546	34	20	obtained	obtain	VERB
ejpam-2546	34	21	non	non	ADJ
ejpam-2546	34	22	-	-	ADJ
ejpam-2546	34	23	sharp	sharp	ADJ
ejpam-2546	34	24	estimates	estimate	NOUN
ejpam-2546	34	25	on	on	ADP
ejpam-2546	34	26	the	the	DET
ejpam-2546	34	27	first	first	ADJ
ejpam-2546	34	28	two	two	NUM
ejpam-2546	34	29	coefficients	coefficient	NOUN
ejpam-2546	34	30	|a2|	|a2|	NOUN
ejpam-2546	34	31	and	and	CCONJ
ejpam-2546	34	32	|a3|	|a3|	NOUN
ejpam-2546	34	33	.	.	PUNCT
ejpam-2546	35	1	definition	definition	NOUN
ejpam-2546	35	2	1(see	1(see	NUM
ejpam-2546	36	1	[	[	X
ejpam-2546	36	2	8	8	NUM
ejpam-2546	36	3	]	]	NUM
ejpam-2546	36	4	)	)	PUNCT
ejpam-2546	36	5	.	.	PUNCT
ejpam-2546	37	1	a	a	DET
ejpam-2546	37	2	function	function	NOUN
ejpam-2546	37	3	f(z	f(z	PROPN
ejpam-2546	37	4	)	)	PUNCT
ejpam-2546	37	5	given	give	VERB
ejpam-2546	37	6	by	by	ADP
ejpam-2546	37	7	(	(	PUNCT
ejpam-2546	37	8	1	1	NUM
ejpam-2546	37	9	)	)	PUNCT
ejpam-2546	37	10	is	be	AUX
ejpam-2546	37	11	said	say	VERB
ejpam-2546	37	12	to	to	PART
ejpam-2546	37	13	be	be	AUX
ejpam-2546	37	14	in	in	ADP
ejpam-2546	37	15	the	the	DET
ejpam-2546	37	16	class	class	NOUN
ejpam-2546	37	17	bς(α	bς(α	NOUN
ejpam-2546	37	18	,	,	PUNCT
ejpam-2546	37	19	λ	λ	NOUN
ejpam-2546	37	20	)	)	PUNCT
ejpam-2546	37	21	if	if	SCONJ
ejpam-2546	37	22	the	the	DET
ejpam-2546	37	23	following	follow	VERB
ejpam-2546	37	24	conditions	condition	NOUN
ejpam-2546	37	25	are	be	AUX
ejpam-2546	37	26	satisfied	satisfied	ADJ
ejpam-2546	37	27	:	:	PUNCT
ejpam-2546	37	28	f	f	PROPN
ejpam-2546	37	29	∈	∈	PROPN
ejpam-2546	37	30	σ	σ	PROPN
ejpam-2546	37	31	and	and	CCONJ
ejpam-2546	37	32	∣∣∣∣arg	∣∣∣∣arg	PROPN
ejpam-2546	37	33	(	(	PUNCT
ejpam-2546	37	34	(	(	PUNCT
ejpam-2546	37	35	1−	1−	NUM
ejpam-2546	37	36	λ	λ	NOUN
ejpam-2546	37	37	)	)	PUNCT
ejpam-2546	37	38	f(z	f(z	PROPN
ejpam-2546	37	39	)	)	PUNCT
ejpam-2546	37	40	z	z	NOUN
ejpam-2546	38	1	+	+	CCONJ
ejpam-2546	38	2	λf	λf	PROPN
ejpam-2546	38	3	′(z	′(z	NOUN
ejpam-2546	38	4	)	)	PUNCT
ejpam-2546	38	5	)	)	PUNCT
ejpam-2546	39	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-2546	39	2	≤	≤	NUM
ejpam-2546	39	3	απ	απ	ADP
ejpam-2546	39	4	2	2	NUM
ejpam-2546	39	5	(	(	PUNCT
ejpam-2546	39	6	z	z	NOUN
ejpam-2546	39	7	∈	∈	PROPN
ejpam-2546	39	8	u	u	NOUN
ejpam-2546	39	9	;	;	PUNCT
ejpam-2546	39	10	0	0	NUM
ejpam-2546	39	11	<	<	X
ejpam-2546	39	12	α	α	PROPN
ejpam-2546	39	13	≤	≤	NUM
ejpam-2546	39	14	1	1	NUM
ejpam-2546	39	15	;	;	PUNCT
ejpam-2546	39	16	λ	λ	X
ejpam-2546	39	17	≥	≥	NOUN
ejpam-2546	39	18	1	1	NUM
ejpam-2546	39	19	)	)	PUNCT
ejpam-2546	39	20	and	and	CCONJ
ejpam-2546	39	21	∣∣∣∣arg	∣∣∣∣arg	PROPN
ejpam-2546	39	22	(	(	PUNCT
ejpam-2546	39	23	(	(	PUNCT
ejpam-2546	39	24	1−	1−	NUM
ejpam-2546	39	25	λ	λ	NOUN
ejpam-2546	39	26	)	)	PUNCT
ejpam-2546	39	27	g(w	g(w	PROPN
ejpam-2546	39	28	)	)	PUNCT
ejpam-2546	39	29	w	w	PROPN
ejpam-2546	40	1	+	+	CCONJ
ejpam-2546	40	2	λg′(w	λg′(w	PROPN
ejpam-2546	40	3	)	)	PUNCT
ejpam-2546	40	4	)	)	PUNCT
ejpam-2546	41	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-2546	41	2	≤	≤	NOUN
ejpam-2546	41	3	απ	απ	ADP
ejpam-2546	41	4	2	2	NUM
ejpam-2546	41	5	(	(	PUNCT
ejpam-2546	41	6	w	w	PROPN
ejpam-2546	41	7	∈	∈	PROPN
ejpam-2546	41	8	u	u	NOUN
ejpam-2546	41	9	;	;	PUNCT
ejpam-2546	41	10	0	0	NUM
ejpam-2546	41	11	<	<	X
ejpam-2546	41	12	α	α	PROPN
ejpam-2546	41	13	≤	≤	NUM
ejpam-2546	41	14	1	1	NUM
ejpam-2546	41	15	;	;	PUNCT
ejpam-2546	41	16	λ	λ	X
ejpam-2546	41	17	≥	≥	NOUN
ejpam-2546	41	18	1	1	NUM
ejpam-2546	41	19	)	)	PUNCT
ejpam-2546	41	20	,	,	PUNCT
ejpam-2546	41	21	g(w	g(w	PROPN
ejpam-2546	41	22	)	)	PUNCT
ejpam-2546	41	23	=	=	PUNCT
ejpam-2546	42	1	w	w	PROPN
ejpam-2546	42	2	−	−	NOUN
ejpam-2546	42	3	a2w	a2w	PROPN
ejpam-2546	42	4	2	2	NUM
ejpam-2546	42	5	+	+	CCONJ
ejpam-2546	42	6	(	(	PUNCT
ejpam-2546	42	7	2a2	2a2	NUM
ejpam-2546	42	8	2	2	NUM
ejpam-2546	42	9	−	−	NOUN
ejpam-2546	42	10	a3)w3	a3)w3	NOUN
ejpam-2546	42	11	−	−	PROPN
ejpam-2546	43	1	(	(	PUNCT
ejpam-2546	43	2	5a3	5a3	NUM
ejpam-2546	43	3	2	2	NUM
ejpam-2546	43	4	−	−	NOUN
ejpam-2546	43	5	5a2a3	5a2a3	PROPN
ejpam-2546	44	1	+	+	CCONJ
ejpam-2546	44	2	a4)w4	a4)w4	X
ejpam-2546	44	3	+	+	X
ejpam-2546	44	4	·	·	PUNCT
ejpam-2546	44	5	·	·	PUNCT
ejpam-2546	44	6	·	·	PUNCT
ejpam-2546	44	7	.	.	PUNCT
ejpam-2546	45	1	(	(	PUNCT
ejpam-2546	45	2	2	2	X
ejpam-2546	45	3	)	)	PUNCT
ejpam-2546	45	4	theorem	theorem	VERB
ejpam-2546	45	5	1(see	1(see	NUM
ejpam-2546	46	1	[	[	X
ejpam-2546	46	2	8	8	NUM
ejpam-2546	46	3	]	]	NUM
ejpam-2546	46	4	)	)	PUNCT
ejpam-2546	46	5	.	.	PUNCT
ejpam-2546	47	1	let	let	VERB
ejpam-2546	47	2	f(z	f(z	NOUN
ejpam-2546	47	3	)	)	PUNCT
ejpam-2546	47	4	given	give	VERB
ejpam-2546	47	5	by	by	ADP
ejpam-2546	47	6	(	(	PUNCT
ejpam-2546	47	7	1	1	X
ejpam-2546	47	8	)	)	PUNCT
ejpam-2546	47	9	be	be	AUX
ejpam-2546	47	10	in	in	ADP
ejpam-2546	47	11	the	the	DET
ejpam-2546	47	12	function	function	NOUN
ejpam-2546	47	13	class	class	NOUN
ejpam-2546	47	14	bς(α	bς(α	PROPN
ejpam-2546	47	15	,	,	PUNCT
ejpam-2546	47	16	λ	λ	NOUN
ejpam-2546	47	17	)	)	PUNCT
ejpam-2546	47	18	.	.	PUNCT
ejpam-2546	48	1	then	then	ADV
ejpam-2546	48	2	|a2|	|a2|	VERB
ejpam-2546	48	3	≤	≤	ADJ
ejpam-2546	48	4	2α√	2α√	NUM
ejpam-2546	48	5	(	(	PUNCT
ejpam-2546	48	6	λ+	λ+	PUNCT
ejpam-2546	48	7	1)2	1)2	NUM
ejpam-2546	49	1	+	+	NUM
ejpam-2546	49	2	α(1	α(1	PROPN
ejpam-2546	50	1	+	+	CCONJ
ejpam-2546	50	2	2λ−	2λ−	NUM
ejpam-2546	50	3	λ2	λ2	NOUN
ejpam-2546	50	4	)	)	PUNCT
ejpam-2546	50	5	and	and	CCONJ
ejpam-2546	50	6	|a3|	|a3|	VERB
ejpam-2546	50	7	≤	≤	NUM
ejpam-2546	50	8	4α2	4α2	NUM
ejpam-2546	50	9	(	(	PUNCT
ejpam-2546	50	10	λ+	λ+	PUNCT
ejpam-2546	50	11	1)2	1)2	NUM
ejpam-2546	50	12	+	+	NUM
ejpam-2546	50	13	2α	2α	NOUN
ejpam-2546	50	14	2λ+	2λ+	NUM
ejpam-2546	50	15	1	1	NUM
ejpam-2546	50	16	.	.	PUNCT
ejpam-2546	51	1	definition	definition	NOUN
ejpam-2546	51	2	2(see	2(see	NUM
ejpam-2546	52	1	[	[	X
ejpam-2546	52	2	8	8	NUM
ejpam-2546	52	3	]	]	NUM
ejpam-2546	52	4	)	)	PUNCT
ejpam-2546	52	5	.	.	PUNCT
ejpam-2546	53	1	a	a	DET
ejpam-2546	53	2	function	function	NOUN
ejpam-2546	53	3	f(z	f(z	PROPN
ejpam-2546	53	4	)	)	PUNCT
ejpam-2546	53	5	given	give	VERB
ejpam-2546	53	6	by	by	ADP
ejpam-2546	53	7	(	(	PUNCT
ejpam-2546	53	8	1	1	NUM
ejpam-2546	53	9	)	)	PUNCT
ejpam-2546	53	10	is	be	AUX
ejpam-2546	53	11	said	say	VERB
ejpam-2546	53	12	to	to	PART
ejpam-2546	53	13	be	be	AUX
ejpam-2546	53	14	in	in	ADP
ejpam-2546	53	15	the	the	DET
ejpam-2546	53	16	class	class	NOUN
ejpam-2546	53	17	bς(β	bς(β	NOUN
ejpam-2546	53	18	,	,	PUNCT
ejpam-2546	53	19	λ	λ	PROPN
ejpam-2546	53	20	)	)	PUNCT
ejpam-2546	53	21	if	if	SCONJ
ejpam-2546	53	22	the	the	DET
ejpam-2546	53	23	following	follow	VERB
ejpam-2546	53	24	conditions	condition	NOUN
ejpam-2546	53	25	are	be	AUX
ejpam-2546	53	26	satisfied	satisfied	ADJ
ejpam-2546	53	27	:	:	PUNCT
ejpam-2546	53	28	f	f	PROPN
ejpam-2546	53	29	∈	∈	PROPN
ejpam-2546	53	30	σ	σ	PROPN
ejpam-2546	53	31	and	and	CCONJ
ejpam-2546	53	32	<	<	X
ejpam-2546	53	33	(	(	PUNCT
ejpam-2546	53	34	(	(	PUNCT
ejpam-2546	53	35	1−	1−	NUM
ejpam-2546	53	36	λ	λ	NOUN
ejpam-2546	53	37	)	)	PUNCT
ejpam-2546	53	38	f(z	f(z	PROPN
ejpam-2546	53	39	)	)	PUNCT
ejpam-2546	53	40	z	z	NOUN
ejpam-2546	54	1	+	+	CCONJ
ejpam-2546	54	2	λf	λf	PROPN
ejpam-2546	54	3	′(z	′(z	NOUN
ejpam-2546	54	4	)	)	PUNCT
ejpam-2546	54	5	)	)	PUNCT
ejpam-2546	55	1	>	>	X
ejpam-2546	55	2	β	β	X
ejpam-2546	55	3	(	(	PUNCT
ejpam-2546	55	4	z	z	PROPN
ejpam-2546	55	5	∈	∈	PROPN
ejpam-2546	55	6	u	u	NOUN
ejpam-2546	55	7	;	;	PUNCT
ejpam-2546	55	8	0	0	NUM
ejpam-2546	55	9	≤	≤	NUM
ejpam-2546	55	10	β	β	X
ejpam-2546	55	11	<	<	X
ejpam-2546	55	12	1;λ	1;λ	NUM
ejpam-2546	55	13	≥	≥	NOUN
ejpam-2546	55	14	1	1	NUM
ejpam-2546	55	15	)	)	PUNCT
ejpam-2546	55	16	and	and	CCONJ
ejpam-2546	55	17	<	<	X
ejpam-2546	55	18	(	(	PUNCT
ejpam-2546	55	19	(	(	PUNCT
ejpam-2546	55	20	1−	1−	NUM
ejpam-2546	55	21	λ	λ	NOUN
ejpam-2546	55	22	)	)	PUNCT
ejpam-2546	55	23	g(w	g(w	PROPN
ejpam-2546	55	24	)	)	PUNCT
ejpam-2546	55	25	z	z	PROPN
ejpam-2546	55	26	+	+	CCONJ
ejpam-2546	55	27	λg′(w	λg′(w	PROPN
ejpam-2546	55	28	)	)	PUNCT
ejpam-2546	55	29	)	)	PUNCT
ejpam-2546	55	30	>	>	PUNCT
ejpam-2546	56	1	β	β	X
ejpam-2546	56	2	(	(	PUNCT
ejpam-2546	56	3	w	w	PROPN
ejpam-2546	56	4	∈	∈	PROPN
ejpam-2546	56	5	u	u	NOUN
ejpam-2546	56	6	;	;	PUNCT
ejpam-2546	56	7	0	0	NUM
ejpam-2546	56	8	≤	≤	NUM
ejpam-2546	56	9	β	β	X
ejpam-2546	56	10	<	<	X
ejpam-2546	56	11	1	1	NUM
ejpam-2546	56	12	;	;	PUNCT
ejpam-2546	56	13	λ	λ	X
ejpam-2546	56	14	≥	≥	NOUN
ejpam-2546	56	15	1	1	NUM
ejpam-2546	56	16	)	)	PUNCT
ejpam-2546	56	17	,	,	PUNCT
ejpam-2546	56	18	h.g	h.g	PROPN
ejpam-2546	56	19	xiao	xiao	PROPN
ejpam-2546	56	20	,	,	PUNCT
ejpam-2546	56	21	q.h.xu	q.h.xu	ADV
ejpam-2546	56	22	/	/	SYM
ejpam-2546	56	23	eur	eur	NOUN
ejpam-2546	56	24	.	.	PUNCT
ejpam-2546	57	1	j.	j.	PROPN
ejpam-2546	57	2	pure	pure	PROPN
ejpam-2546	57	3	appl	appl	PROPN
ejpam-2546	57	4	.	.	PROPN
ejpam-2546	57	5	math	math	PROPN
ejpam-2546	57	6	,	,	PUNCT
ejpam-2546	57	7	10	10	NUM
ejpam-2546	57	8	(	(	PUNCT
ejpam-2546	57	9	4	4	NUM
ejpam-2546	57	10	)	)	PUNCT
ejpam-2546	57	11	(	(	PUNCT
ejpam-2546	57	12	2017	2017	NUM
ejpam-2546	57	13	)	)	PUNCT
ejpam-2546	57	14	,	,	PUNCT
ejpam-2546	57	15	638	638	NUM
ejpam-2546	57	16	-	-	SYM
ejpam-2546	57	17	644	644	NUM
ejpam-2546	57	18	640	640	NUM
ejpam-2546	57	19	where	where	SCONJ
ejpam-2546	57	20	the	the	DET
ejpam-2546	57	21	function	function	NOUN
ejpam-2546	57	22	g	g	NOUN
ejpam-2546	57	23	is	be	AUX
ejpam-2546	57	24	defined	define	VERB
ejpam-2546	57	25	by	by	ADP
ejpam-2546	57	26	(	(	PUNCT
ejpam-2546	57	27	2	2	NUM
ejpam-2546	57	28	)	)	PUNCT
ejpam-2546	57	29	.	.	PUNCT
ejpam-2546	58	1	theorem	theorem	VERB
ejpam-2546	58	2	2(see	2(see	NUM
ejpam-2546	59	1	[	[	X
ejpam-2546	59	2	8	8	NUM
ejpam-2546	59	3	]	]	PUNCT
ejpam-2546	59	4	)	)	PUNCT
ejpam-2546	59	5	.	.	PUNCT
ejpam-2546	60	1	let	let	VERB
ejpam-2546	60	2	f(z	f(z	NOUN
ejpam-2546	60	3	)	)	PUNCT
ejpam-2546	60	4	given	give	VERB
ejpam-2546	60	5	by	by	ADP
ejpam-2546	60	6	(	(	PUNCT
ejpam-2546	60	7	1	1	X
ejpam-2546	60	8	)	)	PUNCT
ejpam-2546	60	9	be	be	AUX
ejpam-2546	60	10	in	in	ADP
ejpam-2546	60	11	the	the	DET
ejpam-2546	60	12	function	function	NOUN
ejpam-2546	60	13	class	class	NOUN
ejpam-2546	60	14	bς(β	bς(β	NOUN
ejpam-2546	60	15	,	,	PUNCT
ejpam-2546	60	16	λ	λ	PROPN
ejpam-2546	60	17	)	)	PUNCT
ejpam-2546	60	18	.	.	PUNCT
ejpam-2546	61	1	then	then	ADV
ejpam-2546	61	2	|a2|	|a2|	VERB
ejpam-2546	61	3	≤	≤	ADJ
ejpam-2546	61	4	√	√	ADP
ejpam-2546	61	5	2(1−	2(1−	NUM
ejpam-2546	61	6	β	β	SYM
ejpam-2546	61	7	)	)	PUNCT
ejpam-2546	61	8	2λ+	2λ+	NUM
ejpam-2546	61	9	1	1	NUM
ejpam-2546	61	10	and	and	CCONJ
ejpam-2546	61	11	|a3|	|a3|	VERB
ejpam-2546	61	12	≤	≤	ADJ
ejpam-2546	61	13	4(1−	4(1−	NUM
ejpam-2546	61	14	β)2	β)2	X
ejpam-2546	61	15	(	(	PUNCT
ejpam-2546	61	16	λ+	λ+	PUNCT
ejpam-2546	61	17	1)2	1)2	NUM
ejpam-2546	61	18	+	+	NUM
ejpam-2546	61	19	2(1−	2(1−	NUM
ejpam-2546	61	20	β	β	X
ejpam-2546	61	21	)	)	PUNCT
ejpam-2546	61	22	2λ+	2λ+	NUM
ejpam-2546	61	23	1	1	NUM
ejpam-2546	61	24	.	.	PUNCT
ejpam-2546	62	1	here	here	ADV
ejpam-2546	62	2	,	,	PUNCT
ejpam-2546	62	3	in	in	ADP
ejpam-2546	62	4	our	our	PRON
ejpam-2546	62	5	present	present	ADJ
ejpam-2546	62	6	sequel	sequel	NOUN
ejpam-2546	62	7	to	to	ADP
ejpam-2546	62	8	some	some	PRON
ejpam-2546	62	9	of	of	ADP
ejpam-2546	62	10	the	the	DET
ejpam-2546	62	11	aforecited	aforecite	VERB
ejpam-2546	62	12	works	work	NOUN
ejpam-2546	62	13	(	(	PUNCT
ejpam-2546	62	14	especially	especially	ADV
ejpam-2546	62	15	[	[	X
ejpam-2546	62	16	7	7	NUM
ejpam-2546	62	17	,	,	PUNCT
ejpam-2546	62	18	8	8	NUM
ejpam-2546	62	19	]	]	NUM
ejpam-2546	62	20	)	)	PUNCT
ejpam-2546	62	21	,	,	PUNCT
ejpam-2546	62	22	we	we	PRON
ejpam-2546	62	23	introduce	introduce	VERB
ejpam-2546	62	24	the	the	DET
ejpam-2546	62	25	following	following	ADJ
ejpam-2546	62	26	subclass	subclass	NOUN
ejpam-2546	62	27	of	of	ADP
ejpam-2546	62	28	analytic	analytic	ADJ
ejpam-2546	62	29	functions	function	NOUN
ejpam-2546	62	30	.	.	PUNCT
ejpam-2546	63	1	definition	definition	NOUN
ejpam-2546	63	2	3	3	NUM
ejpam-2546	63	3	.	.	PUNCT
ejpam-2546	64	1	let	let	VERB
ejpam-2546	64	2	h	h	NOUN
ejpam-2546	64	3	,	,	PUNCT
ejpam-2546	64	4	p	p	X
ejpam-2546	64	5	:	:	PUNCT
ejpam-2546	64	6	u→	u→	PROPN
ejpam-2546	64	7	c	c	AUX
ejpam-2546	64	8	be	be	AUX
ejpam-2546	64	9	functions	function	NOUN
ejpam-2546	64	10	such	such	ADJ
ejpam-2546	64	11	that	that	DET
ejpam-2546	64	12	min{<(h(z	min{<(h(z	NOUN
ejpam-2546	64	13	)	)	PUNCT
ejpam-2546	64	14	)	)	PUNCT
ejpam-2546	64	15	,	,	PUNCT
ejpam-2546	64	16	<	<	X
ejpam-2546	64	17	(	(	PUNCT
ejpam-2546	64	18	p(z	p(z	NOUN
ejpam-2546	64	19	)	)	PUNCT
ejpam-2546	64	20	)	)	PUNCT
ejpam-2546	64	21	}	}	PUNCT
ejpam-2546	65	1	>	>	X
ejpam-2546	65	2	0	0	NUM
ejpam-2546	65	3	,	,	PUNCT
ejpam-2546	65	4	(	(	PUNCT
ejpam-2546	65	5	z	z	NOUN
ejpam-2546	65	6	∈	∈	PROPN
ejpam-2546	65	7	u	u	NOUN
ejpam-2546	65	8	)	)	PUNCT
ejpam-2546	65	9	and	and	CCONJ
ejpam-2546	65	10	h(0	h(0	PROPN
ejpam-2546	65	11	)	)	PUNCT
ejpam-2546	65	12	=	=	SYM
ejpam-2546	66	1	p(0	p(0	PROPN
ejpam-2546	66	2	)	)	PUNCT
ejpam-2546	66	3	=	=	SYM
ejpam-2546	66	4	1	1	NUM
ejpam-2546	66	5	,	,	PUNCT
ejpam-2546	66	6	also	also	ADV
ejpam-2546	66	7	let	let	VERB
ejpam-2546	66	8	f	f	PRON
ejpam-2546	66	9	be	be	AUX
ejpam-2546	66	10	an	an	DET
ejpam-2546	66	11	analytic	analytic	ADJ
ejpam-2546	66	12	function	function	NOUN
ejpam-2546	66	13	in	in	ADP
ejpam-2546	66	14	u	u	NOUN
ejpam-2546	66	15	defined	define	VERB
ejpam-2546	66	16	by	by	ADP
ejpam-2546	66	17	(	(	PUNCT
ejpam-2546	66	18	1	1	NUM
ejpam-2546	66	19	)	)	PUNCT
ejpam-2546	66	20	.	.	PUNCT
ejpam-2546	67	1	we	we	PRON
ejpam-2546	67	2	say	say	VERB
ejpam-2546	67	3	that	that	SCONJ
ejpam-2546	67	4	f	f	PROPN
ejpam-2546	67	5	∈	∈	PROPN
ejpam-2546	67	6	bh	bh	PROPN
ejpam-2546	67	7	,	,	PUNCT
ejpam-2546	67	8	pς	pς	ADP
ejpam-2546	67	9	(	(	PUNCT
ejpam-2546	67	10	λ	λ	X
ejpam-2546	67	11	)	)	PUNCT
ejpam-2546	67	12	if	if	SCONJ
ejpam-2546	67	13	the	the	DET
ejpam-2546	67	14	following	follow	VERB
ejpam-2546	67	15	conditions	condition	NOUN
ejpam-2546	67	16	are	be	AUX
ejpam-2546	67	17	satisfied	satisfied	ADJ
ejpam-2546	67	18	:	:	PUNCT
ejpam-2546	67	19	f	f	PROPN
ejpam-2546	67	20	∈	∈	PROPN
ejpam-2546	67	21	σ	σ	PROPN
ejpam-2546	67	22	and	and	CCONJ
ejpam-2546	67	23	(	(	PUNCT
ejpam-2546	67	24	1−	1−	NUM
ejpam-2546	67	25	λ	λ	NOUN
ejpam-2546	67	26	)	)	PUNCT
ejpam-2546	67	27	f(z	f(z	PROPN
ejpam-2546	67	28	)	)	PUNCT
ejpam-2546	67	29	z	z	NOUN
ejpam-2546	68	1	+	+	CCONJ
ejpam-2546	68	2	λf	λf	PROPN
ejpam-2546	68	3	′(z	′(z	NOUN
ejpam-2546	68	4	)	)	PUNCT
ejpam-2546	68	5	∈	∈	PROPN
ejpam-2546	68	6	h(u	h(u	PROPN
ejpam-2546	68	7	)	)	PUNCT
ejpam-2546	68	8	(	(	PUNCT
ejpam-2546	68	9	z	z	NOUN
ejpam-2546	68	10	∈	∈	PROPN
ejpam-2546	68	11	u	u	NOUN
ejpam-2546	68	12	;	;	PUNCT
ejpam-2546	68	13	λ	λ	X
ejpam-2546	68	14	≥	≥	NOUN
ejpam-2546	68	15	1	1	NUM
ejpam-2546	68	16	)	)	PUNCT
ejpam-2546	68	17	(	(	PUNCT
ejpam-2546	68	18	3	3	X
ejpam-2546	68	19	)	)	PUNCT
ejpam-2546	68	20	and	and	CCONJ
ejpam-2546	68	21	(	(	PUNCT
ejpam-2546	68	22	1−	1−	NUM
ejpam-2546	68	23	λ	λ	NOUN
ejpam-2546	68	24	)	)	PUNCT
ejpam-2546	68	25	g(w	g(w	PROPN
ejpam-2546	68	26	)	)	PUNCT
ejpam-2546	68	27	w	w	PROPN
ejpam-2546	69	1	+	+	CCONJ
ejpam-2546	69	2	λg′(w	λg′(w	PROPN
ejpam-2546	69	3	)	)	PUNCT
ejpam-2546	69	4	∈	∈	PROPN
ejpam-2546	69	5	p(u	p(u	NOUN
ejpam-2546	69	6	)	)	PUNCT
ejpam-2546	69	7	(	(	PUNCT
ejpam-2546	69	8	w	w	PROPN
ejpam-2546	69	9	∈	∈	PROPN
ejpam-2546	69	10	u	u	NOUN
ejpam-2546	69	11	;	;	PUNCT
ejpam-2546	69	12	λ	λ	X
ejpam-2546	69	13	≥	≥	NOUN
ejpam-2546	69	14	1	1	NUM
ejpam-2546	69	15	)	)	PUNCT
ejpam-2546	69	16	,	,	PUNCT
ejpam-2546	69	17	(	(	PUNCT
ejpam-2546	69	18	4	4	X
ejpam-2546	69	19	)	)	PUNCT
ejpam-2546	69	20	where	where	SCONJ
ejpam-2546	69	21	the	the	DET
ejpam-2546	69	22	function	function	NOUN
ejpam-2546	69	23	g	g	NOUN
ejpam-2546	69	24	is	be	AUX
ejpam-2546	69	25	given	give	VERB
ejpam-2546	69	26	by	by	ADP
ejpam-2546	69	27	(	(	PUNCT
ejpam-2546	69	28	2	2	NUM
ejpam-2546	69	29	)	)	PUNCT
ejpam-2546	69	30	.	.	PUNCT
ejpam-2546	70	1	we	we	PRON
ejpam-2546	70	2	note	note	VERB
ejpam-2546	70	3	that	that	SCONJ
ejpam-2546	70	4	for	for	ADP
ejpam-2546	70	5	λ	λ	PROPN
ejpam-2546	70	6	=	=	SYM
ejpam-2546	70	7	1	1	NUM
ejpam-2546	70	8	,	,	PUNCT
ejpam-2546	70	9	the	the	DET
ejpam-2546	70	10	class	class	NOUN
ejpam-2546	70	11	bh	bh	NOUN
ejpam-2546	70	12	,	,	PUNCT
ejpam-2546	70	13	pς	pς	ADP
ejpam-2546	70	14	(	(	PUNCT
ejpam-2546	70	15	λ	λ	NOUN
ejpam-2546	70	16	)	)	PUNCT
ejpam-2546	70	17	reduces	reduce	VERB
ejpam-2546	70	18	to	to	ADP
ejpam-2546	70	19	the	the	DET
ejpam-2546	70	20	class	class	NOUN
ejpam-2546	70	21	hh	hh	PROPN
ejpam-2546	70	22	,	,	PUNCT
ejpam-2546	70	23	pς	pς	AUX
ejpam-2546	70	24	introduced	introduce	VERB
ejpam-2546	70	25	and	and	CCONJ
ejpam-2546	70	26	studied	study	VERB
ejpam-2546	70	27	by	by	ADP
ejpam-2546	70	28	xu	xu	PROPN
ejpam-2546	70	29	et	et	PROPN
ejpam-2546	70	30	al.[7	al.[7	PROPN
ejpam-2546	70	31	]	]	PUNCT
ejpam-2546	70	32	.	.	PUNCT
ejpam-2546	71	1	remark	remark	PROPN
ejpam-2546	71	2	1	1	NUM
ejpam-2546	71	3	.	.	PUNCT
ejpam-2546	72	1	there	there	PRON
ejpam-2546	72	2	are	be	VERB
ejpam-2546	72	3	many	many	ADJ
ejpam-2546	72	4	choices	choice	NOUN
ejpam-2546	72	5	of	of	ADP
ejpam-2546	72	6	the	the	DET
ejpam-2546	72	7	functions	function	NOUN
ejpam-2546	72	8	h	h	NOUN
ejpam-2546	72	9	and	and	CCONJ
ejpam-2546	72	10	p	p	NOUN
ejpam-2546	72	11	which	which	PRON
ejpam-2546	72	12	would	would	AUX
ejpam-2546	72	13	provide	provide	VERB
ejpam-2546	72	14	interesting	interesting	ADJ
ejpam-2546	72	15	subclasses	subclass	NOUN
ejpam-2546	72	16	of	of	ADP
ejpam-2546	72	17	analytic	analytic	ADJ
ejpam-2546	72	18	functions	function	NOUN
ejpam-2546	72	19	.	.	PUNCT
ejpam-2546	73	1	for	for	ADP
ejpam-2546	73	2	example	example	NOUN
ejpam-2546	73	3	,	,	PUNCT
ejpam-2546	73	4	if	if	SCONJ
ejpam-2546	73	5	we	we	PRON
ejpam-2546	73	6	let	let	VERB
ejpam-2546	73	7	h(z	h(z	NOUN
ejpam-2546	73	8	)	)	PUNCT
ejpam-2546	73	9	=	=	PUNCT
ejpam-2546	74	1	p(z	p(z	NOUN
ejpam-2546	74	2	)	)	PUNCT
ejpam-2546	74	3	=	=	PUNCT
ejpam-2546	75	1	(	(	PUNCT
ejpam-2546	75	2	1	1	NUM
ejpam-2546	75	3	+	+	CCONJ
ejpam-2546	75	4	z	z	NOUN
ejpam-2546	75	5	1−	1−	NUM
ejpam-2546	75	6	z	z	NOUN
ejpam-2546	75	7	)	)	PUNCT
ejpam-2546	75	8	α	α	NOUN
ejpam-2546	75	9	(	(	PUNCT
ejpam-2546	75	10	z	z	NOUN
ejpam-2546	75	11	∈	∈	PROPN
ejpam-2546	75	12	u	u	NOUN
ejpam-2546	75	13	;	;	PUNCT
ejpam-2546	75	14	0	0	NUM
ejpam-2546	75	15	<	<	X
ejpam-2546	75	16	α	α	PROPN
ejpam-2546	75	17	≤	≤	NUM
ejpam-2546	75	18	1	1	NUM
ejpam-2546	75	19	)	)	PUNCT
ejpam-2546	75	20	or	or	CCONJ
ejpam-2546	75	21	h(z	h(z	NOUN
ejpam-2546	75	22	)	)	PUNCT
ejpam-2546	75	23	=	=	PUNCT
ejpam-2546	76	1	p(z	p(z	NOUN
ejpam-2546	76	2	)	)	PUNCT
ejpam-2546	76	3	=	=	SYM
ejpam-2546	77	1	1	1	NUM
ejpam-2546	77	2	+	+	CCONJ
ejpam-2546	77	3	(	(	PUNCT
ejpam-2546	77	4	1−	1−	NUM
ejpam-2546	77	5	2β)z	2β)z	NUM
ejpam-2546	77	6	1−	1−	NUM
ejpam-2546	78	1	z	z	NOUN
ejpam-2546	78	2	(	(	PUNCT
ejpam-2546	78	3	z	z	NOUN
ejpam-2546	78	4	∈	∈	PROPN
ejpam-2546	78	5	u	u	NOUN
ejpam-2546	78	6	;	;	PUNCT
ejpam-2546	78	7	0	0	NUM
ejpam-2546	78	8	≤	≤	NUM
ejpam-2546	78	9	β	β	X
ejpam-2546	78	10	<	<	X
ejpam-2546	78	11	1	1	NUM
ejpam-2546	78	12	)	)	PUNCT
ejpam-2546	78	13	,	,	PUNCT
ejpam-2546	78	14	it	it	PRON
ejpam-2546	78	15	is	be	AUX
ejpam-2546	78	16	easy	easy	ADJ
ejpam-2546	78	17	to	to	PART
ejpam-2546	78	18	verify	verify	VERB
ejpam-2546	78	19	that	that	SCONJ
ejpam-2546	78	20	h(z	h(z	NOUN
ejpam-2546	78	21	)	)	PUNCT
ejpam-2546	78	22	and	and	CCONJ
ejpam-2546	78	23	p(z	p(z	NOUN
ejpam-2546	78	24	)	)	PUNCT
ejpam-2546	78	25	satisfy	satisfy	VERB
ejpam-2546	78	26	the	the	DET
ejpam-2546	78	27	hypotheses	hypothesis	NOUN
ejpam-2546	78	28	of	of	ADP
ejpam-2546	78	29	definition	definition	NOUN
ejpam-2546	78	30	3	3	NUM
ejpam-2546	78	31	.	.	PUNCT
ejpam-2546	79	1	if	if	SCONJ
ejpam-2546	79	2	f	f	PROPN
ejpam-2546	79	3	∈	∈	PROPN
ejpam-2546	79	4	bh	bh	PROPN
ejpam-2546	79	5	,	,	PUNCT
ejpam-2546	79	6	pς	pς	ADP
ejpam-2546	79	7	(	(	PUNCT
ejpam-2546	79	8	λ	λ	NOUN
ejpam-2546	79	9	)	)	PUNCT
ejpam-2546	79	10	,	,	PUNCT
ejpam-2546	79	11	then	then	ADV
ejpam-2546	79	12	f	f	PROPN
ejpam-2546	79	13	∈	∈	PROPN
ejpam-2546	79	14	σ	σ	PROPN
ejpam-2546	79	15	and	and	CCONJ
ejpam-2546	79	16	∣∣∣∣arg	∣∣∣∣arg	PROPN
ejpam-2546	79	17	(	(	PUNCT
ejpam-2546	79	18	(	(	PUNCT
ejpam-2546	79	19	1−	1−	NUM
ejpam-2546	79	20	λ	λ	NOUN
ejpam-2546	79	21	)	)	PUNCT
ejpam-2546	79	22	f(z	f(z	PROPN
ejpam-2546	79	23	)	)	PUNCT
ejpam-2546	79	24	z	z	NOUN
ejpam-2546	80	1	+	+	CCONJ
ejpam-2546	80	2	λf	λf	PROPN
ejpam-2546	80	3	′(z	′(z	NOUN
ejpam-2546	80	4	)	)	PUNCT
ejpam-2546	80	5	)	)	PUNCT
ejpam-2546	81	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-2546	81	2	≤	≤	NUM
ejpam-2546	81	3	απ	απ	ADP
ejpam-2546	81	4	2	2	NUM
ejpam-2546	81	5	(	(	PUNCT
ejpam-2546	81	6	z	z	NOUN
ejpam-2546	81	7	∈	∈	PROPN
ejpam-2546	81	8	u	u	NOUN
ejpam-2546	81	9	;	;	PUNCT
ejpam-2546	81	10	0	0	NUM
ejpam-2546	81	11	<	<	X
ejpam-2546	81	12	α	α	PROPN
ejpam-2546	81	13	≤	≤	NUM
ejpam-2546	81	14	1	1	NUM
ejpam-2546	81	15	;	;	PUNCT
ejpam-2546	81	16	λ	λ	X
ejpam-2546	81	17	≥	≥	NOUN
ejpam-2546	81	18	1	1	NUM
ejpam-2546	81	19	)	)	PUNCT
ejpam-2546	81	20	h.g	h.g	PROPN
ejpam-2546	81	21	xiao	xiao	PROPN
ejpam-2546	81	22	,	,	PUNCT
ejpam-2546	81	23	q.h.xu	q.h.xu	ADV
ejpam-2546	81	24	/	/	SYM
ejpam-2546	81	25	eur	eur	NOUN
ejpam-2546	81	26	.	.	PUNCT
ejpam-2546	82	1	j.	j.	PROPN
ejpam-2546	82	2	pure	pure	PROPN
ejpam-2546	82	3	appl	appl	PROPN
ejpam-2546	82	4	.	.	PROPN
ejpam-2546	82	5	math	math	PROPN
ejpam-2546	82	6	,	,	PUNCT
ejpam-2546	82	7	10	10	NUM
ejpam-2546	82	8	(	(	PUNCT
ejpam-2546	82	9	4	4	NUM
ejpam-2546	82	10	)	)	PUNCT
ejpam-2546	82	11	(	(	PUNCT
ejpam-2546	82	12	2017	2017	NUM
ejpam-2546	82	13	)	)	PUNCT
ejpam-2546	82	14	,	,	PUNCT
ejpam-2546	82	15	638	638	NUM
ejpam-2546	82	16	-	-	SYM
ejpam-2546	82	17	644	644	NUM
ejpam-2546	82	18	641	641	NUM
ejpam-2546	82	19	and	and	CCONJ
ejpam-2546	82	20	∣∣∣∣arg	∣∣∣∣arg	PROPN
ejpam-2546	82	21	(	(	PUNCT
ejpam-2546	82	22	(	(	PUNCT
ejpam-2546	82	23	1−	1−	NUM
ejpam-2546	82	24	λ	λ	NOUN
ejpam-2546	82	25	)	)	PUNCT
ejpam-2546	82	26	g(w	g(w	PROPN
ejpam-2546	82	27	)	)	PUNCT
ejpam-2546	82	28	w	w	PROPN
ejpam-2546	83	1	+	+	CCONJ
ejpam-2546	83	2	λg′(w	λg′(w	PROPN
ejpam-2546	83	3	)	)	PUNCT
ejpam-2546	83	4	)	)	PUNCT
ejpam-2546	84	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-2546	84	2	≤	≤	NOUN
ejpam-2546	84	3	απ	απ	ADP
ejpam-2546	84	4	2	2	NUM
ejpam-2546	84	5	(	(	PUNCT
ejpam-2546	84	6	w	w	PROPN
ejpam-2546	84	7	∈	∈	PROPN
ejpam-2546	84	8	u	u	NOUN
ejpam-2546	84	9	;	;	PUNCT
ejpam-2546	84	10	0	0	NUM
ejpam-2546	84	11	<	<	X
ejpam-2546	84	12	α	α	PROPN
ejpam-2546	84	13	≤	≤	NUM
ejpam-2546	84	14	1	1	NUM
ejpam-2546	84	15	;	;	PUNCT
ejpam-2546	84	16	λ	λ	X
ejpam-2546	84	17	≥	≥	NOUN
ejpam-2546	84	18	1	1	NUM
ejpam-2546	84	19	)	)	PUNCT
ejpam-2546	84	20	,	,	PUNCT
ejpam-2546	84	21	or	or	CCONJ
ejpam-2546	84	22	f	f	PROPN
ejpam-2546	84	23	∈	∈	PROPN
ejpam-2546	84	24	σ	σ	PROPN
ejpam-2546	84	25	and	and	CCONJ
ejpam-2546	84	26	<	<	X
ejpam-2546	84	27	(	(	PUNCT
ejpam-2546	84	28	(	(	PUNCT
ejpam-2546	84	29	1−	1−	NUM
ejpam-2546	84	30	λ	λ	NOUN
ejpam-2546	84	31	)	)	PUNCT
ejpam-2546	84	32	f(z	f(z	PROPN
ejpam-2546	84	33	)	)	PUNCT
ejpam-2546	84	34	z	z	NOUN
ejpam-2546	85	1	+	+	CCONJ
ejpam-2546	85	2	λf	λf	PROPN
ejpam-2546	85	3	′(z	′(z	NOUN
ejpam-2546	85	4	)	)	PUNCT
ejpam-2546	85	5	)	)	PUNCT
ejpam-2546	86	1	>	>	X
ejpam-2546	86	2	β	β	X
ejpam-2546	86	3	(	(	PUNCT
ejpam-2546	86	4	z	z	PROPN
ejpam-2546	86	5	∈	∈	PROPN
ejpam-2546	86	6	u	u	NOUN
ejpam-2546	86	7	;	;	PUNCT
ejpam-2546	86	8	0	0	NUM
ejpam-2546	86	9	≤	≤	NUM
ejpam-2546	86	10	β	β	X
ejpam-2546	86	11	<	<	X
ejpam-2546	86	12	1	1	NUM
ejpam-2546	86	13	)	)	PUNCT
ejpam-2546	86	14	and	and	CCONJ
ejpam-2546	86	15	<	<	X
ejpam-2546	86	16	(	(	PUNCT
ejpam-2546	86	17	(	(	PUNCT
ejpam-2546	86	18	1−	1−	NUM
ejpam-2546	86	19	λ	λ	NOUN
ejpam-2546	86	20	)	)	PUNCT
ejpam-2546	86	21	g(w	g(w	PROPN
ejpam-2546	86	22	)	)	PUNCT
ejpam-2546	86	23	w	w	PROPN
ejpam-2546	86	24	+	+	CCONJ
ejpam-2546	86	25	λg′(w	λg′(w	PROPN
ejpam-2546	86	26	)	)	PUNCT
ejpam-2546	86	27	)	)	PUNCT
ejpam-2546	86	28	>	>	PUNCT
ejpam-2546	87	1	β	β	X
ejpam-2546	87	2	(	(	PUNCT
ejpam-2546	87	3	w	w	PROPN
ejpam-2546	87	4	∈	∈	PROPN
ejpam-2546	87	5	u	u	NOUN
ejpam-2546	87	6	;	;	PUNCT
ejpam-2546	87	7	0	0	NUM
ejpam-2546	87	8	≤	≤	NUM
ejpam-2546	88	1	β	β	X
ejpam-2546	88	2	<	<	X
ejpam-2546	88	3	1	1	NUM
ejpam-2546	88	4	;	;	PUNCT
ejpam-2546	88	5	0	0	NUM
ejpam-2546	88	6	≤	≤	NUM
ejpam-2546	88	7	β	β	X
ejpam-2546	88	8	<	<	X
ejpam-2546	88	9	1	1	NUM
ejpam-2546	88	10	)	)	PUNCT
ejpam-2546	88	11	,	,	PUNCT
ejpam-2546	88	12	where	where	SCONJ
ejpam-2546	88	13	the	the	DET
ejpam-2546	88	14	function	function	NOUN
ejpam-2546	88	15	g	g	NOUN
ejpam-2546	88	16	is	be	AUX
ejpam-2546	88	17	given	give	VERB
ejpam-2546	88	18	by	by	ADP
ejpam-2546	88	19	(	(	PUNCT
ejpam-2546	88	20	2	2	NUM
ejpam-2546	88	21	)	)	PUNCT
ejpam-2546	88	22	.	.	PUNCT
ejpam-2546	89	1	this	this	PRON
ejpam-2546	89	2	means	mean	VERB
ejpam-2546	89	3	that	that	SCONJ
ejpam-2546	89	4	f	f	PROPN
ejpam-2546	89	5	∈	∈	PROPN
ejpam-2546	89	6	bς(α	bς(α	PROPN
ejpam-2546	89	7	,	,	PUNCT
ejpam-2546	89	8	λ	λ	NOUN
ejpam-2546	89	9	)	)	PUNCT
ejpam-2546	89	10	or	or	CCONJ
ejpam-2546	89	11	f	f	PROPN
ejpam-2546	89	12	∈	∈	PROPN
ejpam-2546	89	13	bς(β	bς(β	NUM
ejpam-2546	89	14	,	,	PUNCT
ejpam-2546	89	15	λ	λ	PROPN
ejpam-2546	89	16	)	)	PUNCT
ejpam-2546	89	17	.	.	PUNCT
ejpam-2546	90	1	in	in	ADP
ejpam-2546	90	2	this	this	DET
ejpam-2546	90	3	paper	paper	NOUN
ejpam-2546	90	4	,	,	PUNCT
ejpam-2546	90	5	stimulated	stimulate	VERB
ejpam-2546	90	6	by	by	ADP
ejpam-2546	90	7	[	[	X
ejpam-2546	90	8	7	7	NUM
ejpam-2546	90	9	,	,	PUNCT
ejpam-2546	90	10	8	8	NUM
ejpam-2546	90	11	]	]	PUNCT
ejpam-2546	90	12	,	,	PUNCT
ejpam-2546	90	13	we	we	PRON
ejpam-2546	90	14	introduce	introduce	VERB
ejpam-2546	90	15	the	the	DET
ejpam-2546	90	16	following	following	ADJ
ejpam-2546	90	17	subclass	subclass	NOUN
ejpam-2546	90	18	of	of	ADP
ejpam-2546	90	19	the	the	DET
ejpam-2546	90	20	biunivalent	biunivalent	NOUN
ejpam-2546	90	21	function	function	NOUN
ejpam-2546	90	22	class	class	NOUN
ejpam-2546	90	23	σ	σ	PROPN
ejpam-2546	90	24	and	and	CCONJ
ejpam-2546	90	25	obtain	obtain	VERB
ejpam-2546	90	26	estimates	estimate	NOUN
ejpam-2546	90	27	on	on	ADP
ejpam-2546	90	28	the	the	DET
ejpam-2546	90	29	first	first	ADJ
ejpam-2546	90	30	two	two	NUM
ejpam-2546	90	31	coefficients	coefficient	NOUN
ejpam-2546	90	32	|a2|	|a2|	NOUN
ejpam-2546	90	33	and	and	CCONJ
ejpam-2546	90	34	|a3|	|a3|	NOUN
ejpam-2546	90	35	.	.	PUNCT
ejpam-2546	91	1	our	our	PRON
ejpam-2546	91	2	results	result	NOUN
ejpam-2546	91	3	would	would	AUX
ejpam-2546	91	4	generalize	generalize	VERB
ejpam-2546	91	5	and	and	CCONJ
ejpam-2546	91	6	improve	improve	VERB
ejpam-2546	91	7	the	the	DET
ejpam-2546	91	8	related	relate	VERB
ejpam-2546	91	9	works	work	NOUN
ejpam-2546	91	10	of	of	ADP
ejpam-2546	91	11	frasin	frasin	NOUN
ejpam-2546	91	12	et	et	PROPN
ejpam-2546	91	13	al.[8	al.[8	PROPN
ejpam-2546	91	14	]	]	PUNCT
ejpam-2546	91	15	and	and	CCONJ
ejpam-2546	91	16	xu	xu	INTJ
ejpam-2546	91	17	et	et	NOUN
ejpam-2546	91	18	al.[7	al.[7	PROPN
ejpam-2546	91	19	]	]	PUNCT
ejpam-2546	91	20	.	.	PUNCT
ejpam-2546	92	1	2	2	X
ejpam-2546	92	2	.	.	X
ejpam-2546	92	3	main	main	ADJ
ejpam-2546	92	4	results	result	NOUN
ejpam-2546	92	5	and	and	CCONJ
ejpam-2546	92	6	their	their	PRON
ejpam-2546	92	7	proofs	proof	NOUN
ejpam-2546	92	8	in	in	ADP
ejpam-2546	92	9	this	this	DET
ejpam-2546	92	10	section	section	NOUN
ejpam-2546	92	11	,	,	PUNCT
ejpam-2546	92	12	we	we	PRON
ejpam-2546	92	13	state	state	VERB
ejpam-2546	92	14	and	and	CCONJ
ejpam-2546	92	15	prove	prove	VERB
ejpam-2546	92	16	our	our	PRON
ejpam-2546	92	17	results	result	NOUN
ejpam-2546	92	18	involving	involve	VERB
ejpam-2546	92	19	the	the	DET
ejpam-2546	92	20	bi	bi	ADJ
ejpam-2546	92	21	-	-	ADJ
ejpam-2546	92	22	univalent	univalent	ADJ
ejpam-2546	92	23	function	function	NOUN
ejpam-2546	92	24	class	class	NOUN
ejpam-2546	92	25	bh	bh	NOUN
ejpam-2546	92	26	,	,	PUNCT
ejpam-2546	92	27	pς	pς	ADP
ejpam-2546	92	28	(	(	PUNCT
ejpam-2546	92	29	λ	λ	X
ejpam-2546	92	30	)	)	PUNCT
ejpam-2546	92	31	given	give	VERB
ejpam-2546	92	32	by	by	ADP
ejpam-2546	92	33	definition	definition	NOUN
ejpam-2546	92	34	3	3	NUM
ejpam-2546	92	35	.	.	PUNCT
ejpam-2546	92	36	theorem	theorem	NOUN
ejpam-2546	92	37	3	3	X
ejpam-2546	92	38	.	.	PUNCT
ejpam-2546	93	1	let	let	VERB
ejpam-2546	93	2	f(z	f(z	NOUN
ejpam-2546	93	3	)	)	PUNCT
ejpam-2546	93	4	given	give	VERB
ejpam-2546	93	5	by	by	ADP
ejpam-2546	93	6	(	(	PUNCT
ejpam-2546	93	7	1	1	X
ejpam-2546	93	8	)	)	PUNCT
ejpam-2546	93	9	be	be	AUX
ejpam-2546	93	10	in	in	ADP
ejpam-2546	93	11	the	the	DET
ejpam-2546	93	12	function	function	NOUN
ejpam-2546	93	13	class	class	NOUN
ejpam-2546	93	14	f	f	PROPN
ejpam-2546	93	15	∈	∈	PROPN
ejpam-2546	93	16	bh	bh	NOUN
ejpam-2546	93	17	,	,	PUNCT
ejpam-2546	93	18	pς	pς	ADP
ejpam-2546	93	19	(	(	PUNCT
ejpam-2546	93	20	λ	λ	NOUN
ejpam-2546	93	21	)	)	PUNCT
ejpam-2546	93	22	.	.	PUNCT
ejpam-2546	94	1	then	then	ADV
ejpam-2546	94	2	|a2|	|a2|	VERB
ejpam-2546	94	3	≤	≤	ADJ
ejpam-2546	94	4	√	√	ADP
ejpam-2546	94	5	|h′′(0)|+	|h′′(0)|+	PROPN
ejpam-2546	94	6	|p′′(0)|	|p′′(0)|	NOUN
ejpam-2546	94	7	4(1	4(1	NUM
ejpam-2546	94	8	+	+	CCONJ
ejpam-2546	94	9	2λ	2λ	NUM
ejpam-2546	94	10	)	)	PUNCT
ejpam-2546	94	11	and	and	CCONJ
ejpam-2546	94	12	|a3|	|a3|	VERB
ejpam-2546	94	13	≤	≤	PROPN
ejpam-2546	94	14	|h′′(0)|	|h′′(0)|	PROPN
ejpam-2546	94	15	2(1	2(1	NUM
ejpam-2546	94	16	+	+	CCONJ
ejpam-2546	94	17	2λ	2λ	NUM
ejpam-2546	94	18	)	)	PUNCT
ejpam-2546	94	19	.	.	PUNCT
ejpam-2546	95	1	(	(	PUNCT
ejpam-2546	95	2	5	5	X
ejpam-2546	95	3	)	)	PUNCT
ejpam-2546	95	4	proof	proof	NOUN
ejpam-2546	95	5	.	.	PUNCT
ejpam-2546	96	1	it	it	PRON
ejpam-2546	96	2	follows	follow	VERB
ejpam-2546	96	3	from	from	ADP
ejpam-2546	96	4	(	(	PUNCT
ejpam-2546	96	5	3	3	NUM
ejpam-2546	96	6	)	)	PUNCT
ejpam-2546	96	7	and	and	CCONJ
ejpam-2546	96	8	(	(	PUNCT
ejpam-2546	96	9	4	4	X
ejpam-2546	96	10	)	)	PUNCT
ejpam-2546	96	11	that	that	SCONJ
ejpam-2546	96	12	(	(	PUNCT
ejpam-2546	96	13	1−	1−	NUM
ejpam-2546	96	14	λ	λ	NOUN
ejpam-2546	96	15	)	)	PUNCT
ejpam-2546	96	16	f(z	f(z	PROPN
ejpam-2546	96	17	)	)	PUNCT
ejpam-2546	96	18	z	z	NOUN
ejpam-2546	97	1	+	+	CCONJ
ejpam-2546	97	2	λf	λf	NOUN
ejpam-2546	97	3	′(z	′(z	NOUN
ejpam-2546	97	4	)	)	PUNCT
ejpam-2546	97	5	=	=	SYM
ejpam-2546	97	6	h(z	h(z	NOUN
ejpam-2546	97	7	)	)	PUNCT
ejpam-2546	97	8	(	(	PUNCT
ejpam-2546	97	9	z	z	NOUN
ejpam-2546	97	10	∈	∈	PROPN
ejpam-2546	97	11	u	u	NOUN
ejpam-2546	97	12	)	)	PUNCT
ejpam-2546	97	13	(	(	PUNCT
ejpam-2546	97	14	6	6	NUM
ejpam-2546	97	15	)	)	PUNCT
ejpam-2546	97	16	and	and	CCONJ
ejpam-2546	97	17	(	(	PUNCT
ejpam-2546	97	18	1−	1−	NUM
ejpam-2546	97	19	λ	λ	NOUN
ejpam-2546	97	20	)	)	PUNCT
ejpam-2546	97	21	g(w	g(w	PROPN
ejpam-2546	97	22	)	)	PUNCT
ejpam-2546	97	23	w	w	PROPN
ejpam-2546	98	1	+	+	CCONJ
ejpam-2546	98	2	λg′(w	λg′(w	PROPN
ejpam-2546	98	3	)	)	PUNCT
ejpam-2546	98	4	=	=	SYM
ejpam-2546	98	5	p(w	p(w	PROPN
ejpam-2546	98	6	)	)	PUNCT
ejpam-2546	98	7	(	(	PUNCT
ejpam-2546	98	8	w	w	PROPN
ejpam-2546	98	9	∈	∈	PROPN
ejpam-2546	98	10	u	u	NOUN
ejpam-2546	98	11	)	)	PUNCT
ejpam-2546	98	12	,	,	PUNCT
ejpam-2546	98	13	(	(	PUNCT
ejpam-2546	98	14	7	7	X
ejpam-2546	98	15	)	)	PUNCT
ejpam-2546	98	16	where	where	SCONJ
ejpam-2546	98	17	h	h	NOUN
ejpam-2546	98	18	and	and	CCONJ
ejpam-2546	98	19	p	p	NOUN
ejpam-2546	98	20	satisfy	satisfy	VERB
ejpam-2546	98	21	the	the	DET
ejpam-2546	98	22	conditions	condition	NOUN
ejpam-2546	98	23	of	of	ADP
ejpam-2546	98	24	definition	definition	NOUN
ejpam-2546	98	25	3	3	NUM
ejpam-2546	98	26	,	,	PUNCT
ejpam-2546	98	27	furthermore	furthermore	ADV
ejpam-2546	98	28	,	,	PUNCT
ejpam-2546	98	29	the	the	DET
ejpam-2546	98	30	functions	function	NOUN
ejpam-2546	98	31	h(z	h(z	NOUN
ejpam-2546	98	32	)	)	PUNCT
ejpam-2546	98	33	and	and	CCONJ
ejpam-2546	98	34	p(w	p(w	PROPN
ejpam-2546	98	35	)	)	PUNCT
ejpam-2546	98	36	have	have	VERB
ejpam-2546	98	37	the	the	DET
ejpam-2546	98	38	following	follow	VERB
ejpam-2546	98	39	series	series	NOUN
ejpam-2546	98	40	expansions	expansion	NOUN
ejpam-2546	98	41	:	:	PUNCT
ejpam-2546	98	42	h(z	h(z	NOUN
ejpam-2546	98	43	)	)	PUNCT
ejpam-2546	98	44	=	=	SYM
ejpam-2546	99	1	1	1	NUM
ejpam-2546	99	2	+	+	NUM
ejpam-2546	99	3	h1z	h1z	NOUN
ejpam-2546	99	4	+	+	CCONJ
ejpam-2546	99	5	h2z	h2z	NUM
ejpam-2546	99	6	2	2	NUM
ejpam-2546	99	7	+	+	NUM
ejpam-2546	99	8	·	·	PUNCT
ejpam-2546	99	9	·	·	PUNCT
ejpam-2546	99	10	·	·	PUNCT
ejpam-2546	100	1	h.g	h.g	PROPN
ejpam-2546	100	2	xiao	xiao	PROPN
ejpam-2546	100	3	,	,	PUNCT
ejpam-2546	100	4	q.h.xu	q.h.xu	ADV
ejpam-2546	100	5	/	/	SYM
ejpam-2546	100	6	eur	eur	NOUN
ejpam-2546	100	7	.	.	PUNCT
ejpam-2546	101	1	j.	j.	PROPN
ejpam-2546	101	2	pure	pure	PROPN
ejpam-2546	101	3	appl	appl	PROPN
ejpam-2546	101	4	.	.	PROPN
ejpam-2546	101	5	math	math	PROPN
ejpam-2546	101	6	,	,	PUNCT
ejpam-2546	101	7	10	10	NUM
ejpam-2546	101	8	(	(	PUNCT
ejpam-2546	101	9	4	4	NUM
ejpam-2546	101	10	)	)	PUNCT
ejpam-2546	101	11	(	(	PUNCT
ejpam-2546	101	12	2017	2017	NUM
ejpam-2546	101	13	)	)	PUNCT
ejpam-2546	101	14	,	,	PUNCT
ejpam-2546	101	15	638	638	NUM
ejpam-2546	101	16	-	-	SYM
ejpam-2546	101	17	644	644	NUM
ejpam-2546	101	18	642	642	NUM
ejpam-2546	101	19	and	and	CCONJ
ejpam-2546	101	20	p(w	p(w	PROPN
ejpam-2546	101	21	)	)	PUNCT
ejpam-2546	101	22	=	=	PUNCT
ejpam-2546	102	1	1	1	NUM
ejpam-2546	102	2	+	+	CCONJ
ejpam-2546	102	3	p1w	p1w	PROPN
ejpam-2546	102	4	+	+	CCONJ
ejpam-2546	102	5	p2w	p2w	NOUN
ejpam-2546	102	6	2	2	NUM
ejpam-2546	102	7	+	+	CCONJ
ejpam-2546	102	8	·	·	PUNCT
ejpam-2546	102	9	·	·	PUNCT
ejpam-2546	102	10	·	·	PUNCT
ejpam-2546	102	11	,	,	PUNCT
ejpam-2546	102	12	respectively	respectively	ADV
ejpam-2546	102	13	.	.	PUNCT
ejpam-2546	103	1	now	now	ADV
ejpam-2546	103	2	,	,	PUNCT
ejpam-2546	103	3	equating	equate	VERB
ejpam-2546	103	4	the	the	DET
ejpam-2546	103	5	coefficients	coefficient	NOUN
ejpam-2546	103	6	in	in	ADP
ejpam-2546	103	7	(	(	PUNCT
ejpam-2546	103	8	6	6	NUM
ejpam-2546	103	9	)	)	PUNCT
ejpam-2546	103	10	and	and	CCONJ
ejpam-2546	103	11	(	(	PUNCT
ejpam-2546	103	12	7	7	NUM
ejpam-2546	103	13	)	)	PUNCT
ejpam-2546	103	14	,	,	PUNCT
ejpam-2546	103	15	we	we	PRON
ejpam-2546	103	16	get	get	VERB
ejpam-2546	103	17	(	(	PUNCT
ejpam-2546	103	18	1	1	NUM
ejpam-2546	103	19	+	+	CCONJ
ejpam-2546	103	20	λ)a2	λ)a2	NOUN
ejpam-2546	103	21	=	=	PUNCT
ejpam-2546	103	22	h1	h1	PROPN
ejpam-2546	103	23	,	,	PUNCT
ejpam-2546	103	24	(	(	PUNCT
ejpam-2546	103	25	8)	8)	NUM
ejpam-2546	103	26	(	(	PUNCT
ejpam-2546	103	27	1	1	NUM
ejpam-2546	103	28	+	+	NUM
ejpam-2546	103	29	2λ)a3	2λ)a3	NUM
ejpam-2546	103	30	=	=	SYM
ejpam-2546	103	31	h2	h2	NOUN
ejpam-2546	103	32	,	,	PUNCT
ejpam-2546	103	33	(	(	PUNCT
ejpam-2546	103	34	9	9	NUM
ejpam-2546	103	35	)	)	PUNCT
ejpam-2546	103	36	−(1	−(1	NOUN
ejpam-2546	104	1	+	+	CCONJ
ejpam-2546	104	2	λ)a2	λ)a2	X
ejpam-2546	104	3	=	=	SYM
ejpam-2546	104	4	p1	p1	NOUN
ejpam-2546	104	5	(	(	PUNCT
ejpam-2546	104	6	10	10	NUM
ejpam-2546	104	7	)	)	PUNCT
ejpam-2546	104	8	and	and	CCONJ
ejpam-2546	104	9	(	(	PUNCT
ejpam-2546	104	10	1	1	NUM
ejpam-2546	104	11	+	+	NUM
ejpam-2546	104	12	2λ)(2a2	2λ)(2a2	NUM
ejpam-2546	104	13	2	2	NUM
ejpam-2546	104	14	−	−	NOUN
ejpam-2546	104	15	a3	a3	NOUN
ejpam-2546	104	16	)	)	PUNCT
ejpam-2546	104	17	=	=	SYM
ejpam-2546	104	18	p2	p2	X
ejpam-2546	104	19	.	.	PUNCT
ejpam-2546	105	1	(	(	PUNCT
ejpam-2546	105	2	11	11	NUM
ejpam-2546	105	3	)	)	PUNCT
ejpam-2546	105	4	from	from	ADP
ejpam-2546	105	5	(	(	PUNCT
ejpam-2546	105	6	8)	8)	NUM
ejpam-2546	105	7	and	and	CCONJ
ejpam-2546	105	8	(	(	PUNCT
ejpam-2546	105	9	10	10	NUM
ejpam-2546	105	10	)	)	PUNCT
ejpam-2546	105	11	,	,	PUNCT
ejpam-2546	105	12	we	we	PRON
ejpam-2546	105	13	get	get	VERB
ejpam-2546	105	14	h1	h1	ADJ
ejpam-2546	105	15	=	=	SYM
ejpam-2546	105	16	−p1	−p1	X
ejpam-2546	106	1	2(1	2(1	NUM
ejpam-2546	106	2	+	+	CCONJ
ejpam-2546	106	3	λ)2a2	λ)2a2	PROPN
ejpam-2546	106	4	2	2	NUM
ejpam-2546	106	5	=	=	SYM
ejpam-2546	106	6	h2	h2	NOUN
ejpam-2546	106	7	1	1	NUM
ejpam-2546	106	8	+	+	NUM
ejpam-2546	106	9	p2	p2	PROPN
ejpam-2546	106	10	1	1	NUM
ejpam-2546	106	11	.	.	PUNCT
ejpam-2546	107	1	(	(	PUNCT
ejpam-2546	107	2	12	12	NUM
ejpam-2546	107	3	)	)	PUNCT
ejpam-2546	107	4	also	also	ADV
ejpam-2546	107	5	,	,	PUNCT
ejpam-2546	107	6	from	from	ADP
ejpam-2546	107	7	(	(	PUNCT
ejpam-2546	107	8	9	9	NUM
ejpam-2546	107	9	)	)	PUNCT
ejpam-2546	107	10	and	and	CCONJ
ejpam-2546	107	11	(	(	PUNCT
ejpam-2546	107	12	11	11	NUM
ejpam-2546	107	13	)	)	PUNCT
ejpam-2546	107	14	,	,	PUNCT
ejpam-2546	107	15	we	we	PRON
ejpam-2546	107	16	find	find	VERB
ejpam-2546	107	17	that	that	PRON
ejpam-2546	107	18	2(1	2(1	NUM
ejpam-2546	107	19	+	+	CCONJ
ejpam-2546	107	20	2λ)a2	2λ)a2	NUM
ejpam-2546	107	21	2	2	NUM
ejpam-2546	107	22	=	=	SYM
ejpam-2546	107	23	h2	h2	NOUN
ejpam-2546	107	24	+	+	CCONJ
ejpam-2546	107	25	p2	p2	NOUN
ejpam-2546	107	26	,	,	PUNCT
ejpam-2546	107	27	(	(	PUNCT
ejpam-2546	107	28	13	13	NUM
ejpam-2546	107	29	)	)	PUNCT
ejpam-2546	107	30	which	which	PRON
ejpam-2546	107	31	gives	give	VERB
ejpam-2546	107	32	us	we	PRON
ejpam-2546	107	33	the	the	DET
ejpam-2546	107	34	desired	desire	VERB
ejpam-2546	107	35	estimate	estimate	NOUN
ejpam-2546	107	36	on	on	ADP
ejpam-2546	107	37	|a2|	|a2|	NOUN
ejpam-2546	107	38	as	as	SCONJ
ejpam-2546	107	39	asserted	assert	VERB
ejpam-2546	107	40	in	in	ADP
ejpam-2546	107	41	(	(	PUNCT
ejpam-2546	107	42	5	5	NUM
ejpam-2546	107	43	)	)	PUNCT
ejpam-2546	107	44	.	.	PUNCT
ejpam-2546	108	1	next	next	ADV
ejpam-2546	108	2	,	,	PUNCT
ejpam-2546	108	3	in	in	ADP
ejpam-2546	108	4	order	order	NOUN
ejpam-2546	108	5	to	to	PART
ejpam-2546	108	6	find	find	VERB
ejpam-2546	108	7	the	the	DET
ejpam-2546	108	8	bound	bind	VERB
ejpam-2546	108	9	on	on	ADP
ejpam-2546	108	10	|a3|	|a3|	NOUN
ejpam-2546	108	11	,	,	PUNCT
ejpam-2546	108	12	by	by	ADP
ejpam-2546	108	13	subtracting	subtract	VERB
ejpam-2546	108	14	(	(	PUNCT
ejpam-2546	108	15	11	11	NUM
ejpam-2546	108	16	)	)	PUNCT
ejpam-2546	108	17	from	from	ADP
ejpam-2546	108	18	(	(	PUNCT
ejpam-2546	108	19	9	9	NUM
ejpam-2546	108	20	)	)	PUNCT
ejpam-2546	108	21	,	,	PUNCT
ejpam-2546	108	22	we	we	PRON
ejpam-2546	108	23	get	get	VERB
ejpam-2546	108	24	2(1	2(1	NUM
ejpam-2546	108	25	+	+	CCONJ
ejpam-2546	108	26	2λ)a3	2λ)a3	NUM
ejpam-2546	108	27	−	−	NOUN
ejpam-2546	108	28	2(1	2(1	NUM
ejpam-2546	109	1	+	+	CCONJ
ejpam-2546	109	2	2λ)a2	2λ)a2	NUM
ejpam-2546	109	3	2	2	NUM
ejpam-2546	109	4	=	=	SYM
ejpam-2546	109	5	h2	h2	NOUN
ejpam-2546	109	6	−	−	PROPN
ejpam-2546	109	7	p2	p2	NOUN
ejpam-2546	109	8	.	.	PUNCT
ejpam-2546	110	1	(	(	PUNCT
ejpam-2546	110	2	14	14	NUM
ejpam-2546	110	3	)	)	PUNCT
ejpam-2546	110	4	upon	upon	SCONJ
ejpam-2546	110	5	substituting	substitute	VERB
ejpam-2546	110	6	the	the	DET
ejpam-2546	110	7	value	value	NOUN
ejpam-2546	110	8	of	of	ADP
ejpam-2546	110	9	a2	a2	PROPN
ejpam-2546	110	10	2	2	NUM
ejpam-2546	110	11	from	from	ADP
ejpam-2546	110	12	(	(	PUNCT
ejpam-2546	110	13	13)into	13)into	NUM
ejpam-2546	110	14	(	(	PUNCT
ejpam-2546	110	15	14	14	NUM
ejpam-2546	110	16	)	)	PUNCT
ejpam-2546	110	17	,	,	PUNCT
ejpam-2546	110	18	it	it	PRON
ejpam-2546	110	19	follows	follow	VERB
ejpam-2546	110	20	that	that	DET
ejpam-2546	110	21	a3	a3	NOUN
ejpam-2546	110	22	=	=	SYM
ejpam-2546	110	23	h2	h2	NOUN
ejpam-2546	110	24	1	1	NUM
ejpam-2546	110	25	+	+	CCONJ
ejpam-2546	110	26	2λ	2λ	NUM
ejpam-2546	110	27	,	,	PUNCT
ejpam-2546	110	28	(	(	PUNCT
ejpam-2546	110	29	15	15	NUM
ejpam-2546	110	30	)	)	PUNCT
ejpam-2546	110	31	as	as	SCONJ
ejpam-2546	110	32	claimed	claim	VERB
ejpam-2546	110	33	.	.	PUNCT
ejpam-2546	111	1	this	this	PRON
ejpam-2546	111	2	completes	complete	VERB
ejpam-2546	111	3	the	the	DET
ejpam-2546	111	4	proof	proof	NOUN
ejpam-2546	111	5	of	of	ADP
ejpam-2546	111	6	theorem	theorem	NOUN
ejpam-2546	111	7	1	1	NUM
ejpam-2546	111	8	.	.	NOUN
ejpam-2546	111	9	3	3	NUM
ejpam-2546	111	10	.	.	NOUN
ejpam-2546	111	11	corollaries	corollary	NOUN
ejpam-2546	111	12	and	and	CCONJ
ejpam-2546	111	13	consequences	consequence	NOUN
ejpam-2546	111	14	in	in	ADP
ejpam-2546	111	15	view	view	NOUN
ejpam-2546	111	16	of	of	ADP
ejpam-2546	111	17	remark	remark	NOUN
ejpam-2546	111	18	1	1	NUM
ejpam-2546	111	19	,	,	PUNCT
ejpam-2546	111	20	if	if	SCONJ
ejpam-2546	111	21	we	we	PRON
ejpam-2546	111	22	set	set	VERB
ejpam-2546	111	23	h(z	h(z	NOUN
ejpam-2546	111	24	)	)	PUNCT
ejpam-2546	111	25	=	=	PUNCT
ejpam-2546	112	1	p(z	p(z	NOUN
ejpam-2546	112	2	)	)	PUNCT
ejpam-2546	112	3	=	=	PUNCT
ejpam-2546	113	1	(	(	PUNCT
ejpam-2546	113	2	1	1	NUM
ejpam-2546	113	3	+	+	CCONJ
ejpam-2546	113	4	z	z	NOUN
ejpam-2546	113	5	1−	1−	NUM
ejpam-2546	113	6	z	z	NOUN
ejpam-2546	113	7	)	)	PUNCT
ejpam-2546	113	8	α	α	NOUN
ejpam-2546	113	9	(	(	PUNCT
ejpam-2546	113	10	z	z	NOUN
ejpam-2546	113	11	∈	∈	PROPN
ejpam-2546	113	12	u	u	NOUN
ejpam-2546	113	13	;	;	PUNCT
ejpam-2546	113	14	0	0	NUM
ejpam-2546	113	15	<	<	X
ejpam-2546	113	16	α	α	PROPN
ejpam-2546	113	17	≤	≤	NUM
ejpam-2546	113	18	1	1	NUM
ejpam-2546	113	19	)	)	PUNCT
ejpam-2546	113	20	and	and	CCONJ
ejpam-2546	113	21	h(z	h(z	NOUN
ejpam-2546	113	22	)	)	PUNCT
ejpam-2546	113	23	=	=	PUNCT
ejpam-2546	114	1	p(z	p(z	NOUN
ejpam-2546	114	2	)	)	PUNCT
ejpam-2546	114	3	=	=	SYM
ejpam-2546	115	1	1	1	NUM
ejpam-2546	115	2	+	+	CCONJ
ejpam-2546	115	3	(	(	PUNCT
ejpam-2546	115	4	1−	1−	NUM
ejpam-2546	115	5	2β)z	2β)z	NUM
ejpam-2546	115	6	1−	1−	NUM
ejpam-2546	116	1	z	z	NOUN
ejpam-2546	116	2	(	(	PUNCT
ejpam-2546	116	3	z	z	NOUN
ejpam-2546	116	4	∈	∈	PROPN
ejpam-2546	116	5	u	u	NOUN
ejpam-2546	116	6	;	;	PUNCT
ejpam-2546	116	7	0	0	NUM
ejpam-2546	116	8	≤	≤	NUM
ejpam-2546	116	9	β	β	X
ejpam-2546	116	10	<	<	X
ejpam-2546	116	11	1	1	NUM
ejpam-2546	116	12	)	)	PUNCT
ejpam-2546	116	13	references	reference	NOUN
ejpam-2546	116	14	643	643	NUM
ejpam-2546	116	15	in	in	ADP
ejpam-2546	116	16	theorem	theorem	ADJ
ejpam-2546	116	17	3	3	NUM
ejpam-2546	116	18	,	,	PUNCT
ejpam-2546	116	19	respectively	respectively	ADV
ejpam-2546	116	20	,	,	PUNCT
ejpam-2546	116	21	we	we	PRON
ejpam-2546	116	22	can	can	AUX
ejpam-2546	116	23	readily	readily	ADV
ejpam-2546	116	24	deduce	deduce	VERB
ejpam-2546	116	25	the	the	DET
ejpam-2546	116	26	following	follow	VERB
ejpam-2546	116	27	two	two	NUM
ejpam-2546	116	28	corollaries	corollary	NOUN
ejpam-2546	116	29	,	,	PUNCT
ejpam-2546	116	30	which	which	PRON
ejpam-2546	116	31	we	we	PRON
ejpam-2546	116	32	merely	merely	ADV
ejpam-2546	116	33	state	state	VERB
ejpam-2546	116	34	here	here	ADV
ejpam-2546	116	35	without	without	ADP
ejpam-2546	116	36	proof	proof	NOUN
ejpam-2546	116	37	.	.	PUNCT
ejpam-2546	117	1	corollary	corollary	ADJ
ejpam-2546	117	2	1	1	NUM
ejpam-2546	117	3	.	.	PUNCT
ejpam-2546	118	1	let	let	VERB
ejpam-2546	118	2	f(z	f(z	NOUN
ejpam-2546	118	3	)	)	PUNCT
ejpam-2546	118	4	given	give	VERB
ejpam-2546	118	5	by	by	ADP
ejpam-2546	118	6	(	(	PUNCT
ejpam-2546	118	7	1	1	X
ejpam-2546	118	8	)	)	PUNCT
ejpam-2546	118	9	be	be	AUX
ejpam-2546	118	10	in	in	ADP
ejpam-2546	118	11	the	the	DET
ejpam-2546	118	12	bi	bi	ADJ
ejpam-2546	118	13	-	-	ADJ
ejpam-2546	118	14	univalent	univalent	ADJ
ejpam-2546	118	15	function	function	NOUN
ejpam-2546	118	16	class	class	NOUN
ejpam-2546	118	17	bς(α	bς(α	PROPN
ejpam-2546	118	18	,	,	PUNCT
ejpam-2546	118	19	λ	λ	NOUN
ejpam-2546	118	20	)	)	PUNCT
ejpam-2546	118	21	.	.	PUNCT
ejpam-2546	119	1	then	then	ADV
ejpam-2546	119	2	|a2|	|a2|	VERB
ejpam-2546	119	3	≤	≤	NUM
ejpam-2546	119	4	√	√	ADP
ejpam-2546	119	5	2	2	NUM
ejpam-2546	119	6	2λ+	2λ+	NUM
ejpam-2546	119	7	1	1	NUM
ejpam-2546	119	8	α	α	NOUN
ejpam-2546	119	9	and	and	CCONJ
ejpam-2546	119	10	|a3|	|a3|	VERB
ejpam-2546	119	11	≤	≤	ADJ
ejpam-2546	119	12	2α2	2α2	NUM
ejpam-2546	119	13	2λ+	2λ+	NUM
ejpam-2546	119	14	1	1	NUM
ejpam-2546	119	15	.	.	PUNCT
ejpam-2546	120	1	(	(	PUNCT
ejpam-2546	120	2	16	16	NUM
ejpam-2546	120	3	)	)	PUNCT
ejpam-2546	120	4	remark	remark	NOUN
ejpam-2546	120	5	2	2	NUM
ejpam-2546	120	6	.	.	PUNCT
ejpam-2546	121	1	it	it	PRON
ejpam-2546	121	2	is	be	AUX
ejpam-2546	121	3	easy	easy	ADJ
ejpam-2546	121	4	to	to	PART
ejpam-2546	121	5	prove	prove	VERB
ejpam-2546	121	6	that√	that√	NOUN
ejpam-2546	121	7	2	2	NUM
ejpam-2546	121	8	1	1	NUM
ejpam-2546	121	9	+	+	NUM
ejpam-2546	121	10	2λ	2λ	NUM
ejpam-2546	121	11	α	α	PROPN
ejpam-2546	121	12	≤	≤	NUM
ejpam-2546	121	13	2α√	2α√	NUM
ejpam-2546	121	14	(	(	PUNCT
ejpam-2546	121	15	λ+	λ+	PUNCT
ejpam-2546	121	16	1)2	1)2	NUM
ejpam-2546	121	17	+	+	NUM
ejpam-2546	122	1	α(1	α(1	PROPN
ejpam-2546	123	1	+	+	CCONJ
ejpam-2546	124	1	2λ−	2λ−	NUM
ejpam-2546	124	2	λ2	λ2	NOUN
ejpam-2546	124	3	)	)	PUNCT
ejpam-2546	124	4	(	(	PUNCT
ejpam-2546	124	5	0	0	NUM
ejpam-2546	124	6	<	<	X
ejpam-2546	124	7	α	α	PROPN
ejpam-2546	124	8	≤	≤	NUM
ejpam-2546	124	9	1	1	NUM
ejpam-2546	124	10	;	;	PUNCT
ejpam-2546	124	11	λ	λ	X
ejpam-2546	124	12	≥	≥	NOUN
ejpam-2546	124	13	1	1	NUM
ejpam-2546	124	14	)	)	PUNCT
ejpam-2546	124	15	and	and	CCONJ
ejpam-2546	124	16	2α2	2α2	NUM
ejpam-2546	124	17	1	1	NUM
ejpam-2546	124	18	+	+	NUM
ejpam-2546	124	19	2λ	2λ	NUM
ejpam-2546	124	20	≤	≤	NUM
ejpam-2546	124	21	4α2	4α2	NUM
ejpam-2546	124	22	(	(	PUNCT
ejpam-2546	124	23	λ+	λ+	PUNCT
ejpam-2546	124	24	1)2	1)2	NUM
ejpam-2546	124	25	+	+	NUM
ejpam-2546	124	26	2α	2α	NOUN
ejpam-2546	124	27	2λ+	2λ+	NUM
ejpam-2546	124	28	1	1	NUM
ejpam-2546	124	29	(	(	PUNCT
ejpam-2546	124	30	0	0	NUM
ejpam-2546	124	31	<	<	X
ejpam-2546	124	32	α	α	PROPN
ejpam-2546	124	33	≤	≤	NUM
ejpam-2546	124	34	1	1	NUM
ejpam-2546	124	35	;	;	PUNCT
ejpam-2546	124	36	λ	λ	X
ejpam-2546	124	37	≥	≥	NOUN
ejpam-2546	124	38	1	1	NUM
ejpam-2546	124	39	)	)	PUNCT
ejpam-2546	124	40	,	,	PUNCT
ejpam-2546	124	41	which	which	PRON
ejpam-2546	124	42	,	,	PUNCT
ejpam-2546	124	43	in	in	ADP
ejpam-2546	124	44	conjunction	conjunction	NOUN
ejpam-2546	124	45	with	with	ADP
ejpam-2546	124	46	corollary	corollary	ADJ
ejpam-2546	124	47	1	1	NUM
ejpam-2546	124	48	,	,	PUNCT
ejpam-2546	124	49	would	would	AUX
ejpam-2546	124	50	obviously	obviously	ADV
ejpam-2546	124	51	yield	yield	VERB
ejpam-2546	124	52	an	an	DET
ejpam-2546	124	53	improvement	improvement	NOUN
ejpam-2546	124	54	of	of	ADP
ejpam-2546	124	55	theorem	theorem	ADJ
ejpam-2546	124	56	1	1	NUM
ejpam-2546	124	57	.	.	PUNCT
ejpam-2546	124	58	corollary	corollary	ADJ
ejpam-2546	124	59	2	2	NUM
ejpam-2546	124	60	.	.	PUNCT
ejpam-2546	125	1	let	let	VERB
ejpam-2546	125	2	f(z	f(z	NOUN
ejpam-2546	125	3	)	)	PUNCT
ejpam-2546	125	4	given	give	VERB
ejpam-2546	125	5	by	by	ADP
ejpam-2546	125	6	(	(	PUNCT
ejpam-2546	125	7	1	1	X
ejpam-2546	125	8	)	)	PUNCT
ejpam-2546	125	9	be	be	AUX
ejpam-2546	125	10	in	in	ADP
ejpam-2546	125	11	the	the	DET
ejpam-2546	125	12	bi	bi	ADJ
ejpam-2546	125	13	-	-	ADJ
ejpam-2546	125	14	univalent	univalent	ADJ
ejpam-2546	125	15	function	function	NOUN
ejpam-2546	125	16	class	class	NOUN
ejpam-2546	125	17	bς(β	bς(β	NOUN
ejpam-2546	125	18	,	,	PUNCT
ejpam-2546	125	19	λ	λ	PROPN
ejpam-2546	125	20	)	)	PUNCT
ejpam-2546	125	21	.	.	PUNCT
ejpam-2546	126	1	then	then	ADV
ejpam-2546	126	2	|a2|	|a2|	VERB
ejpam-2546	126	3	≤	≤	ADJ
ejpam-2546	126	4	√	√	ADP
ejpam-2546	126	5	2(1−	2(1−	NUM
ejpam-2546	126	6	β	β	SYM
ejpam-2546	126	7	)	)	PUNCT
ejpam-2546	126	8	2λ+	2λ+	NUM
ejpam-2546	126	9	1	1	NUM
ejpam-2546	126	10	and	and	CCONJ
ejpam-2546	126	11	|a3|	|a3|	VERB
ejpam-2546	126	12	≤	≤	ADJ
ejpam-2546	126	13	2(1−	2(1−	NUM
ejpam-2546	126	14	β	β	X
ejpam-2546	126	15	)	)	PUNCT
ejpam-2546	126	16	2λ+	2λ+	NUM
ejpam-2546	126	17	1	1	NUM
ejpam-2546	126	18	.	.	PUNCT
ejpam-2546	127	1	(	(	PUNCT
ejpam-2546	127	2	17	17	NUM
ejpam-2546	127	3	)	)	PUNCT
ejpam-2546	127	4	remark	remark	NOUN
ejpam-2546	127	5	3	3	NUM
ejpam-2546	127	6	.	.	PUNCT
ejpam-2546	128	1	it	it	PRON
ejpam-2546	128	2	is	be	AUX
ejpam-2546	128	3	obvious	obvious	ADJ
ejpam-2546	128	4	that	that	SCONJ
ejpam-2546	128	5	2(1−	2(1−	NUM
ejpam-2546	128	6	β	β	X
ejpam-2546	128	7	)	)	PUNCT
ejpam-2546	128	8	2λ+	2λ+	NUM
ejpam-2546	128	9	1	1	NUM
ejpam-2546	128	10	≤	≤	NOUN
ejpam-2546	128	11	4(1−	4(1−	NUM
ejpam-2546	128	12	β)2	β)2	X
ejpam-2546	128	13	(	(	PUNCT
ejpam-2546	128	14	λ+	λ+	PUNCT
ejpam-2546	128	15	1)2	1)2	NUM
ejpam-2546	128	16	+	+	NUM
ejpam-2546	128	17	2(1−	2(1−	NUM
ejpam-2546	128	18	β	β	X
ejpam-2546	128	19	)	)	PUNCT
ejpam-2546	128	20	2λ+	2λ+	NUM
ejpam-2546	128	21	1	1	NUM
ejpam-2546	128	22	(	(	PUNCT
ejpam-2546	128	23	0	0	NUM
ejpam-2546	128	24	≤	≤	NOUN
ejpam-2546	128	25	β	β	X
ejpam-2546	128	26	<	<	X
ejpam-2546	128	27	1	1	NUM
ejpam-2546	128	28	;	;	PUNCT
ejpam-2546	128	29	λ	λ	X
ejpam-2546	128	30	≥	≥	NOUN
ejpam-2546	128	31	1	1	NUM
ejpam-2546	128	32	)	)	PUNCT
ejpam-2546	128	33	,	,	PUNCT
ejpam-2546	128	34	which	which	PRON
ejpam-2546	128	35	,	,	PUNCT
ejpam-2546	128	36	in	in	ADP
ejpam-2546	128	37	conjunction	conjunction	NOUN
ejpam-2546	128	38	with	with	ADP
ejpam-2546	128	39	corollary	corollary	ADJ
ejpam-2546	128	40	2	2	NUM
ejpam-2546	128	41	,	,	PUNCT
ejpam-2546	128	42	would	would	AUX
ejpam-2546	128	43	lead	lead	VERB
ejpam-2546	128	44	us	we	PRON
ejpam-2546	128	45	to	to	ADP
ejpam-2546	128	46	an	an	DET
ejpam-2546	128	47	improvement	improvement	NOUN
ejpam-2546	128	48	of	of	ADP
ejpam-2546	128	49	theorem	theorem	NOUN
ejpam-2546	128	50	2	2	NUM
ejpam-2546	128	51	.	.	PUNCT
ejpam-2546	128	52	setting	set	VERB
ejpam-2546	128	53	λ	λ	NOUN
ejpam-2546	128	54	=	=	SYM
ejpam-2546	128	55	1	1	NUM
ejpam-2546	128	56	in	in	ADP
ejpam-2546	128	57	theorem	theorem	NOUN
ejpam-2546	128	58	3	3	NUM
ejpam-2546	128	59	,	,	PUNCT
ejpam-2546	128	60	we	we	PRON
ejpam-2546	128	61	get	get	VERB
ejpam-2546	128	62	the	the	DET
ejpam-2546	128	63	following	follow	VERB
ejpam-2546	128	64	estimate	estimate	NOUN
ejpam-2546	128	65	,	,	PUNCT
ejpam-2546	128	66	which	which	PRON
ejpam-2546	128	67	was	be	AUX
ejpam-2546	128	68	obtained	obtain	VERB
ejpam-2546	128	69	by	by	ADP
ejpam-2546	128	70	xu	xu	PROPN
ejpam-2546	128	71	et	et	PROPN
ejpam-2546	128	72	al	al	PROPN
ejpam-2546	128	73	.	.	PUNCT
ejpam-2546	129	1	[	[	X
ejpam-2546	129	2	7	7	NUM
ejpam-2546	129	3	]	]	PUNCT
ejpam-2546	129	4	.	.	PUNCT
ejpam-2546	130	1	corollary	corollary	ADJ
ejpam-2546	130	2	3	3	NUM
ejpam-2546	130	3	(	(	PUNCT
ejpam-2546	130	4	see	see	VERB
ejpam-2546	130	5	[	[	X
ejpam-2546	130	6	7	7	NUM
ejpam-2546	130	7	]	]	NUM
ejpam-2546	130	8	)	)	PUNCT
ejpam-2546	130	9	.	.	PUNCT
ejpam-2546	131	1	let	let	VERB
ejpam-2546	131	2	f(z	f(z	NOUN
ejpam-2546	131	3	)	)	PUNCT
ejpam-2546	131	4	given	give	VERB
ejpam-2546	131	5	by	by	ADP
ejpam-2546	131	6	(	(	PUNCT
ejpam-2546	131	7	1	1	X
ejpam-2546	131	8	)	)	PUNCT
ejpam-2546	131	9	be	be	AUX
ejpam-2546	131	10	in	in	ADP
ejpam-2546	131	11	the	the	DET
ejpam-2546	131	12	bi	bi	ADJ
ejpam-2546	131	13	-	-	ADJ
ejpam-2546	131	14	univalent	univalent	ADJ
ejpam-2546	131	15	function	function	NOUN
ejpam-2546	131	16	class	class	NOUN
ejpam-2546	131	17	hh	hh	PROPN
ejpam-2546	131	18	,	,	PUNCT
ejpam-2546	131	19	pς	pς	ADV
ejpam-2546	131	20	.	.	PUNCT
ejpam-2546	132	1	then	then	ADV
ejpam-2546	132	2	|a2|	|a2|	VERB
ejpam-2546	132	3	≤	≤	ADJ
ejpam-2546	132	4	√	√	ADP
ejpam-2546	132	5	|h′′(0)|+	|h′′(0)|+	NOUN
ejpam-2546	132	6	|p′′(0)|	|p′′(0)|	NOUN
ejpam-2546	132	7	12	12	NUM
ejpam-2546	132	8	and	and	CCONJ
ejpam-2546	132	9	|a3|	|a3|	VERB
ejpam-2546	132	10	≤	≤	PUNCT
ejpam-2546	132	11	|h′′(0)|	|h′′(0)|	PROPN
ejpam-2546	132	12	6	6	NUM
ejpam-2546	132	13	.	.	PUNCT
ejpam-2546	133	1	(	(	PUNCT
ejpam-2546	133	2	18	18	NUM
ejpam-2546	133	3	)	)	PUNCT
ejpam-2546	133	4	references	reference	NOUN
ejpam-2546	133	5	[	[	X
ejpam-2546	133	6	1	1	NUM
ejpam-2546	133	7	]	]	X
ejpam-2546	133	8	m.lewin	m.lewin	NOUN
ejpam-2546	133	9	,	,	PUNCT
ejpam-2546	133	10	on	on	ADP
ejpam-2546	133	11	a	a	DET
ejpam-2546	133	12	coefficient	coefficient	NOUN
ejpam-2546	133	13	problem	problem	NOUN
ejpam-2546	133	14	for	for	ADP
ejpam-2546	133	15	bi	bi	ADJ
ejpam-2546	133	16	-	-	ADJ
ejpam-2546	133	17	univalent	univalent	ADJ
ejpam-2546	133	18	functions	function	NOUN
ejpam-2546	133	19	.	.	PUNCT
ejpam-2546	134	1	proc	proc	NOUN
ejpam-2546	134	2	.	.	PUNCT
ejpam-2546	135	1	amer	amer	PROPN
ejpam-2546	135	2	.	.	PUNCT
ejpam-2546	135	3	math	math	PROPN
ejpam-2546	135	4	.	.	PUNCT
ejpam-2546	136	1	soc	soc	PROPN
ejpam-2546	136	2	.	.	PUNCT
ejpam-2546	137	1	18	18	NUM
ejpam-2546	137	2	:	:	SYM
ejpam-2546	137	3	63	63	NUM
ejpam-2546	137	4	-	-	SYM
ejpam-2546	137	5	68	68	NUM
ejpam-2546	137	6	,	,	PUNCT
ejpam-2546	137	7	1967	1967	NUM
ejpam-2546	137	8	.	.	PUNCT
ejpam-2546	138	1	[	[	X
ejpam-2546	138	2	2	2	NUM
ejpam-2546	138	3	]	]	X
ejpam-2546	138	4	d.a	d.a	PROPN
ejpam-2546	138	5	.	.	PROPN
ejpam-2546	138	6	brannan	brannan	PROPN
ejpam-2546	138	7	,	,	PUNCT
ejpam-2546	138	8	j.g	j.g	PROPN
ejpam-2546	138	9	.	.	PROPN
ejpam-2546	138	10	clunie	clunie	PROPN
ejpam-2546	138	11	(	(	PUNCT
ejpam-2546	138	12	eds	ed	NOUN
ejpam-2546	138	13	.	.	PUNCT
ejpam-2546	138	14	)	)	PUNCT
ejpam-2546	138	15	,	,	PUNCT
ejpam-2546	138	16	aspects	aspect	NOUN
ejpam-2546	138	17	of	of	ADP
ejpam-2546	138	18	contemporary	contemporary	ADJ
ejpam-2546	138	19	complex	complex	ADJ
ejpam-2546	138	20	analysis	analysis	NOUN
ejpam-2546	138	21	(	(	PUNCT
ejpam-2546	138	22	proceedings	proceeding	NOUN
ejpam-2546	138	23	of	of	ADP
ejpam-2546	138	24	the	the	DET
ejpam-2546	138	25	nato	nato	PROPN
ejpam-2546	138	26	advanced	advanced	ADJ
ejpam-2546	138	27	study	study	PROPN
ejpam-2546	138	28	institute	institute	NOUN
ejpam-2546	138	29	held	hold	VERB
ejpam-2546	138	30	at	at	ADP
ejpam-2546	138	31	the	the	DET
ejpam-2546	138	32	university	university	PROPN
ejpam-2546	138	33	of	of	ADP
ejpam-2546	138	34	durham	durham	PROPN
ejpam-2546	138	35	,	,	PUNCT
ejpam-2546	138	36	durham	durham	PROPN
ejpam-2546	138	37	;	;	PUNCT
ejpam-2546	138	38	july	july	PROPN
ejpam-2546	138	39	1	1	NUM
ejpam-2546	138	40	-	-	SYM
ejpam-2546	138	41	20	20	NUM
ejpam-2546	138	42	,	,	PUNCT
ejpam-2546	138	43	1979	1979	NUM
ejpam-2546	138	44	)	)	PUNCT
ejpam-2546	138	45	,	,	PUNCT
ejpam-2546	138	46	academic	academic	ADJ
ejpam-2546	138	47	press	press	NOUN
ejpam-2546	138	48	,	,	PUNCT
ejpam-2546	138	49	new	new	PROPN
ejpam-2546	138	50	york	york	PROPN
ejpam-2546	138	51	and	and	CCONJ
ejpam-2546	138	52	london	london	PROPN
ejpam-2546	138	53	,	,	PUNCT
ejpam-2546	138	54	1980	1980	NUM
ejpam-2546	138	55	.	.	PUNCT
ejpam-2546	139	1	references	reference	NOUN
ejpam-2546	139	2	644	644	NUM
ejpam-2546	139	3	[	[	X
ejpam-2546	139	4	3	3	NUM
ejpam-2546	139	5	]	]	X
ejpam-2546	139	6	e.	e.	PROPN
ejpam-2546	139	7	netanyahu	netanyahu	PROPN
ejpam-2546	139	8	,	,	PUNCT
ejpam-2546	139	9	the	the	DET
ejpam-2546	139	10	minimal	minimal	ADJ
ejpam-2546	139	11	distance	distance	NOUN
ejpam-2546	139	12	of	of	ADP
ejpam-2546	139	13	the	the	DET
ejpam-2546	139	14	image	image	NOUN
ejpam-2546	139	15	boundary	boundary	ADJ
ejpam-2546	139	16	from	from	ADP
ejpam-2546	139	17	the	the	DET
ejpam-2546	139	18	origin	origin	NOUN
ejpam-2546	139	19	and	and	CCONJ
ejpam-2546	139	20	the	the	DET
ejpam-2546	139	21	second	second	ADJ
ejpam-2546	139	22	coefficient	coefficient	NOUN
ejpam-2546	139	23	of	of	ADP
ejpam-2546	139	24	a	a	DET
ejpam-2546	139	25	univalent	univalent	ADJ
ejpam-2546	139	26	function	function	NOUN
ejpam-2546	139	27	in	in	ADP
ejpam-2546	139	28	|z|	|z|	NOUN
ejpam-2546	139	29	<	<	X
ejpam-2546	139	30	1	1	NUM
ejpam-2546	139	31	.	.	PUNCT
ejpam-2546	139	32	arch	arch	NOUN
ejpam-2546	139	33	.	.	PUNCT
ejpam-2546	140	1	rational	rational	ADJ
ejpam-2546	140	2	mech	mech	NOUN
ejpam-2546	140	3	.	.	PUNCT
ejpam-2546	141	1	anal	anal	ADJ
ejpam-2546	141	2	.	.	PUNCT
ejpam-2546	142	1	32	32	NUM
ejpam-2546	142	2	:	:	PUNCT
ejpam-2546	142	3	100	100	NUM
ejpam-2546	142	4	-	-	SYM
ejpam-2546	142	5	112	112	NUM
ejpam-2546	142	6	,	,	PUNCT
ejpam-2546	142	7	1969	1969	NUM
ejpam-2546	142	8	.	.	PUNCT
ejpam-2546	143	1	[	[	X
ejpam-2546	143	2	4	4	NUM
ejpam-2546	143	3	]	]	X
ejpam-2546	143	4	d.a	d.a	PROPN
ejpam-2546	143	5	.	.	PROPN
ejpam-2546	143	6	brannan	brannan	PROPN
ejpam-2546	143	7	,	,	PUNCT
ejpam-2546	143	8	t.s	t.s	PROPN
ejpam-2546	143	9	.	.	PROPN
ejpam-2546	143	10	taha	taha	PROPN
ejpam-2546	143	11	,	,	PUNCT
ejpam-2546	143	12	on	on	ADP
ejpam-2546	143	13	some	some	DET
ejpam-2546	143	14	classes	class	NOUN
ejpam-2546	143	15	of	of	ADP
ejpam-2546	143	16	bi	bi	ADJ
ejpam-2546	143	17	-	-	ADJ
ejpam-2546	143	18	univalent	univalent	ADJ
ejpam-2546	143	19	functions	function	NOUN
ejpam-2546	143	20	,	,	PUNCT
ejpam-2546	143	21	in	in	ADP
ejpam-2546	143	22	:	:	PUNCT
ejpam-2546	143	23	s.m	s.m	PROPN
ejpam-2546	143	24	.	.	PROPN
ejpam-2546	143	25	mazhar	mazhar	PROPN
ejpam-2546	143	26	,	,	PUNCT
ejpam-2546	143	27	a.	a.	PROPN
ejpam-2546	143	28	hamoui	hamoui	PROPN
ejpam-2546	143	29	,	,	PUNCT
ejpam-2546	143	30	n.s	n.s	PROPN
ejpam-2546	143	31	.	.	PROPN
ejpam-2546	143	32	faour	faour	PROPN
ejpam-2546	143	33	(	(	PUNCT
ejpam-2546	143	34	eds	ed	NOUN
ejpam-2546	143	35	.	.	PUNCT
ejpam-2546	143	36	)	)	PUNCT
ejpam-2546	143	37	,	,	PUNCT
ejpam-2546	143	38	mathematical	mathematical	ADJ
ejpam-2546	143	39	analysis	analysis	NOUN
ejpam-2546	143	40	and	and	CCONJ
ejpam-2546	143	41	its	its	PRON
ejpam-2546	143	42	applications	application	NOUN
ejpam-2546	143	43	,	,	PUNCT
ejpam-2546	143	44	kuwait	kuwait	PROPN
ejpam-2546	143	45	;	;	PUNCT
ejpam-2546	143	46	february	february	PROPN
ejpam-2546	143	47	18	18	NUM
ejpam-2546	143	48	-	-	SYM
ejpam-2546	143	49	21	21	NUM
ejpam-2546	143	50	,	,	PUNCT
ejpam-2546	143	51	1985	1985	NUM
ejpam-2546	143	52	,	,	PUNCT
ejpam-2546	143	53	in	in	ADP
ejpam-2546	143	54	:	:	PUNCT
ejpam-2546	143	55	kfas	kfas	PROPN
ejpam-2546	143	56	proceedings	proceeding	NOUN
ejpam-2546	143	57	series	series	PROPN
ejpam-2546	143	58	,	,	PUNCT
ejpam-2546	143	59	vol	vol	NOUN
ejpam-2546	143	60	.	.	PROPN
ejpam-2546	144	1	3	3	NUM
ejpam-2546	144	2	,	,	PUNCT
ejpam-2546	145	1	pergamon	pergamon	NOUN
ejpam-2546	145	2	press	press	PROPN
ejpam-2546	145	3	(	(	PUNCT
ejpam-2546	145	4	elsevier	elsevier	PROPN
ejpam-2546	145	5	science	science	PROPN
ejpam-2546	145	6	limited	limit	VERB
ejpam-2546	145	7	)	)	PUNCT
ejpam-2546	145	8	,	,	PUNCT
ejpam-2546	145	9	oxford	oxford	PROPN
ejpam-2546	145	10	,	,	PUNCT
ejpam-2546	145	11	1988	1988	NUM
ejpam-2546	145	12	,	,	PUNCT
ejpam-2546	145	13	pp	pp	ADV
ejpam-2546	145	14	.	.	PUNCT
ejpam-2546	146	1	53	53	NUM
ejpam-2546	146	2	-	-	SYM
ejpam-2546	146	3	60	60	NUM
ejpam-2546	146	4	;	;	PUNCT
ejpam-2546	146	5	see	see	VERB
ejpam-2546	146	6	also	also	ADV
ejpam-2546	146	7	studia	studia	PROPN
ejpam-2546	146	8	univ	univ	PROPN
ejpam-2546	146	9	.	.	PUNCT
ejpam-2546	147	1	babeş-bolyai	babeş-bolyai	PROPN
ejpam-2546	147	2	math	math	NOUN
ejpam-2546	147	3	.	.	PUNCT
ejpam-2546	148	1	31	31	NUM
ejpam-2546	148	2	(	(	PUNCT
ejpam-2546	148	3	2	2	NUM
ejpam-2546	148	4	):	):	PUNCT
ejpam-2546	148	5	70	70	NUM
ejpam-2546	148	6	-	-	SYM
ejpam-2546	148	7	77	77	NUM
ejpam-2546	148	8	,	,	PUNCT
ejpam-2546	148	9	1986	1986	NUM
ejpam-2546	148	10	.	.	PUNCT
ejpam-2546	149	1	[	[	X
ejpam-2546	149	2	5	5	NUM
ejpam-2546	149	3	]	]	X
ejpam-2546	149	4	t.s	t.s	PROPN
ejpam-2546	149	5	.	.	PROPN
ejpam-2546	149	6	taha	taha	PROPN
ejpam-2546	149	7	,	,	PUNCT
ejpam-2546	149	8	topics	topic	NOUN
ejpam-2546	149	9	in	in	ADP
ejpam-2546	149	10	univalent	univalent	ADJ
ejpam-2546	149	11	function	function	NOUN
ejpam-2546	149	12	theory	theory	NOUN
ejpam-2546	149	13	,	,	PUNCT
ejpam-2546	149	14	ph.d	ph.d	PROPN
ejpam-2546	149	15	.	.	PUNCT
ejpam-2546	150	1	thesis	thesis	NOUN
ejpam-2546	150	2	,	,	PUNCT
ejpam-2546	150	3	university	university	PROPN
ejpam-2546	150	4	of	of	ADP
ejpam-2546	150	5	london	london	PROPN
ejpam-2546	150	6	,	,	PUNCT
ejpam-2546	150	7	1981	1981	NUM
ejpam-2546	150	8	.	.	PUNCT
ejpam-2546	151	1	[	[	X
ejpam-2546	151	2	6	6	NUM
ejpam-2546	151	3	]	]	X
ejpam-2546	151	4	h.m	h.m	PROPN
ejpam-2546	151	5	.	.	PROPN
ejpam-2546	151	6	srivastava	srivastava	PROPN
ejpam-2546	151	7	,	,	PUNCT
ejpam-2546	151	8	a.k	a.k	PROPN
ejpam-2546	151	9	.	.	PROPN
ejpam-2546	151	10	mishra	mishra	PROPN
ejpam-2546	151	11	,	,	PUNCT
ejpam-2546	151	12	p.gochhayat	p.gochhayat	INTJ
ejpam-2546	151	13	,	,	PUNCT
ejpam-2546	151	14	certain	certain	ADJ
ejpam-2546	151	15	subclasses	subclass	NOUN
ejpam-2546	151	16	of	of	ADP
ejpam-2546	151	17	analytic	analytic	ADJ
ejpam-2546	151	18	and	and	CCONJ
ejpam-2546	151	19	biunivalent	biunivalent	NOUN
ejpam-2546	151	20	functions	function	NOUN
ejpam-2546	151	21	.	.	PUNCT
ejpam-2546	152	1	appl	appl	PROPN
ejpam-2546	152	2	.	.	PROPN
ejpam-2546	152	3	math	math	PROPN
ejpam-2546	152	4	.	.	PUNCT
ejpam-2546	153	1	lett	lett	PROPN
ejpam-2546	153	2	.	.	PUNCT
ejpam-2546	154	1	23	23	NUM
ejpam-2546	154	2	:	:	PUNCT
ejpam-2546	154	3	1188	1188	NUM
ejpam-2546	154	4	-	-	SYM
ejpam-2546	154	5	1192	1192	NUM
ejpam-2546	154	6	,	,	PUNCT
ejpam-2546	154	7	2010	2010	NUM
ejpam-2546	154	8	.	.	PUNCT
ejpam-2546	155	1	[	[	X
ejpam-2546	155	2	7	7	X
ejpam-2546	155	3	]	]	X
ejpam-2546	155	4	qing	qing	NOUN
ejpam-2546	155	5	-	-	PUNCT
ejpam-2546	155	6	hua	hua	PROPN
ejpam-2546	155	7	xu	xu	PROPN
ejpam-2546	155	8	,	,	PUNCT
ejpam-2546	155	9	ying	ying	PROPN
ejpam-2546	155	10	-	-	PUNCT
ejpam-2546	155	11	chun	chun	PROPN
ejpam-2546	155	12	gui	gui	PROPN
ejpam-2546	155	13	,	,	PUNCT
ejpam-2546	155	14	h.m.srivastava	h.m.srivastava	PROPN
ejpam-2546	155	15	,	,	PUNCT
ejpam-2546	155	16	coefficient	coefficient	NOUN
ejpam-2546	155	17	estimates	estimate	NOUN
ejpam-2546	155	18	for	for	ADP
ejpam-2546	155	19	a	a	DET
ejpam-2546	155	20	certain	certain	ADJ
ejpam-2546	155	21	subclass	subclass	NOUN
ejpam-2546	155	22	of	of	ADP
ejpam-2546	155	23	analytic	analytic	ADJ
ejpam-2546	155	24	and	and	CCONJ
ejpam-2546	155	25	bi	bi	ADJ
ejpam-2546	155	26	-	-	ADJ
ejpam-2546	155	27	univalent	univalent	ADJ
ejpam-2546	155	28	functions	function	NOUN
ejpam-2546	155	29	.	.	PUNCT
ejpam-2546	156	1	appl	appl	PROPN
ejpam-2546	156	2	.	.	PROPN
ejpam-2546	156	3	math	math	PROPN
ejpam-2546	156	4	.	.	PUNCT
ejpam-2546	157	1	lett	lett	PROPN
ejpam-2546	157	2	.	.	PUNCT
ejpam-2546	158	1	25(6	25(6	NUM
ejpam-2546	158	2	):	):	PUNCT
ejpam-2546	158	3	990	990	NUM
ejpam-2546	158	4	-	-	SYM
ejpam-2546	158	5	994	994	NUM
ejpam-2546	158	6	,	,	PUNCT
ejpam-2546	158	7	2012	2012	NUM
ejpam-2546	158	8	.	.	PUNCT
ejpam-2546	159	1	[	[	X
ejpam-2546	159	2	8	8	NUM
ejpam-2546	159	3	]	]	X
ejpam-2546	159	4	b.a.frasin	b.a.frasin	NOUN
ejpam-2546	159	5	,	,	PUNCT
ejpam-2546	159	6	m.k.aouf	m.k.aouf	PROPN
ejpam-2546	159	7	,	,	PUNCT
ejpam-2546	159	8	new	new	ADJ
ejpam-2546	159	9	subclasses	subclass	NOUN
ejpam-2546	159	10	of	of	ADP
ejpam-2546	159	11	bi	bi	ADJ
ejpam-2546	159	12	-	-	ADJ
ejpam-2546	159	13	univalent	univalent	ADJ
ejpam-2546	159	14	functions	function	NOUN
ejpam-2546	159	15	.	.	PUNCT
ejpam-2546	160	1	appl	appl	PROPN
ejpam-2546	160	2	.	.	PROPN
ejpam-2546	160	3	math	math	PROPN
ejpam-2546	160	4	.	.	PUNCT
ejpam-2546	161	1	lett	lett	PROPN
ejpam-2546	161	2	.	.	PUNCT
ejpam-2546	162	1	24	24	NUM
ejpam-2546	162	2	:	:	SYM
ejpam-2546	162	3	1569	1569	NUM
ejpam-2546	162	4	-	-	SYM
ejpam-2546	162	5	1573	1573	NUM
ejpam-2546	162	6	,	,	PUNCT
ejpam-2546	162	7	2011	2011	NUM
ejpam-2546	162	8	.	.	PUNCT