id	sid	tid	token	lemma	pos
ejpam-1174	1	1	8_xxx_waggas.dvi	8_xxx_waggas.dvi	NUM
ejpam-1174	1	2	european	european	ADJ
ejpam-1174	1	3	journal	journal	PROPN
ejpam-1174	1	4	of	of	ADP
ejpam-1174	1	5	pure	pure	ADJ
ejpam-1174	1	6	and	and	CCONJ
ejpam-1174	1	7	applied	apply	VERB
ejpam-1174	1	8	mathematics	mathematic	NOUN
ejpam-1174	1	9	vol	vol	NOUN
ejpam-1174	1	10	.	.	PROPN
ejpam-1174	2	1	4	4	NUM
ejpam-1174	2	2	,	,	PUNCT
ejpam-1174	2	3	no	no	INTJ
ejpam-1174	2	4	.	.	NOUN
ejpam-1174	2	5	2	2	NUM
ejpam-1174	2	6	,	,	PUNCT
ejpam-1174	2	7	2011	2011	NUM
ejpam-1174	2	8	,	,	PUNCT
ejpam-1174	2	9	162	162	NUM
ejpam-1174	2	10	-	-	SYM
ejpam-1174	2	11	173	173	NUM
ejpam-1174	2	12	issn	issn	PROPN
ejpam-1174	2	13	1307	1307	NUM
ejpam-1174	2	14	-	-	SYM
ejpam-1174	2	15	5543	5543	NUM
ejpam-1174	2	16	–	–	PUNCT
ejpam-1174	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1174	2	18	fractional	fractional	ADJ
ejpam-1174	2	19	calculus	calculus	NOUN
ejpam-1174	2	20	of	of	ADP
ejpam-1174	2	21	a	a	DET
ejpam-1174	2	22	class	class	NOUN
ejpam-1174	2	23	of	of	ADP
ejpam-1174	2	24	univalent	univalent	ADJ
ejpam-1174	2	25	functions	function	NOUN
ejpam-1174	2	26	with	with	ADP
ejpam-1174	2	27	negative	negative	ADJ
ejpam-1174	2	28	coefficients	coefficient	NOUN
ejpam-1174	2	29	defined	define	VERB
ejpam-1174	2	30	by	by	ADP
ejpam-1174	2	31	hadamard	hadamard	ADJ
ejpam-1174	2	32	product	product	NOUN
ejpam-1174	2	33	with	with	ADP
ejpam-1174	2	34	rafid	rafid	ADJ
ejpam-1174	2	35	-operator	-operator	ADJ
ejpam-1174	2	36	waggas	waggas	NOUN
ejpam-1174	2	37	galib	galib	PROPN
ejpam-1174	2	38	atshan∗	atshan∗	NOUN
ejpam-1174	2	39	,	,	PUNCT
ejpam-1174	2	40	rafid	rafid	ADJ
ejpam-1174	2	41	habib	habib	PROPN
ejpam-1174	2	42	buti	buti	PROPN
ejpam-1174	2	43	department	department	PROPN
ejpam-1174	2	44	of	of	ADP
ejpam-1174	2	45	mathematics	mathematics	PROPN
ejpam-1174	2	46	,	,	PUNCT
ejpam-1174	2	47	college	college	NOUN
ejpam-1174	2	48	of	of	ADP
ejpam-1174	2	49	computer	computer	NOUN
ejpam-1174	2	50	science	science	NOUN
ejpam-1174	2	51	and	and	CCONJ
ejpam-1174	2	52	mathematics	mathematic	NOUN
ejpam-1174	2	53	,	,	PUNCT
ejpam-1174	2	54	university	university	PROPN
ejpam-1174	2	55	of	of	ADP
ejpam-1174	2	56	al	al	PROPN
ejpam-1174	2	57	-	-	PUNCT
ejpam-1174	2	58	qadisiya	qadisiya	PROPN
ejpam-1174	2	59	,	,	PUNCT
ejpam-1174	2	60	diwaniya	diwaniya	PROPN
ejpam-1174	2	61	,	,	PUNCT
ejpam-1174	2	62	iraq	iraq	PROPN
ejpam-1174	2	63	abstract	abstract	NOUN
ejpam-1174	2	64	.	.	PUNCT
ejpam-1174	3	1	in	in	ADP
ejpam-1174	3	2	our	our	PRON
ejpam-1174	3	3	paper	paper	NOUN
ejpam-1174	3	4	,	,	PUNCT
ejpam-1174	3	5	we	we	PRON
ejpam-1174	3	6	study	study	VERB
ejpam-1174	3	7	a	a	DET
ejpam-1174	3	8	class	class	NOUN
ejpam-1174	3	9	wr	wr	NOUN
ejpam-1174	3	10	(	(	PUNCT
ejpam-1174	3	11	λ	λ	PROPN
ejpam-1174	3	12	,	,	PUNCT
ejpam-1174	3	13	β	β	X
ejpam-1174	3	14	,	,	PUNCT
ejpam-1174	3	15	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	3	16	)	)	PUNCT
ejpam-1174	3	17	,	,	PUNCT
ejpam-1174	3	18	which	which	PRON
ejpam-1174	3	19	consists	consist	VERB
ejpam-1174	3	20	of	of	ADP
ejpam-1174	3	21	analytic	analytic	ADJ
ejpam-1174	3	22	and	and	CCONJ
ejpam-1174	3	23	univalent	univalent	ADJ
ejpam-1174	3	24	functions	function	NOUN
ejpam-1174	3	25	with	with	ADP
ejpam-1174	3	26	negative	negative	ADJ
ejpam-1174	3	27	coefficients	coefficient	NOUN
ejpam-1174	3	28	in	in	ADP
ejpam-1174	3	29	the	the	DET
ejpam-1174	3	30	open	open	ADJ
ejpam-1174	3	31	unit	unit	NOUN
ejpam-1174	3	32	disk	disk	NOUN
ejpam-1174	3	33	u	u	NOUN
ejpam-1174	3	34	=	=	PUNCT
ejpam-1174	3	35	{	{	PUNCT
ejpam-1174	3	36	z	z	PROPN
ejpam-1174	3	37	∈	∈	PROPN
ejpam-1174	3	38	c	c	NOUN
ejpam-1174	3	39	:	:	PUNCT
ejpam-1174	3	40	|z|	|z|	VERB
ejpam-1174	3	41	<	<	X
ejpam-1174	3	42	1	1	NUM
ejpam-1174	3	43	}	}	PUNCT
ejpam-1174	3	44	defined	define	VERB
ejpam-1174	3	45	by	by	ADP
ejpam-1174	3	46	hadamard	hadamard	ADJ
ejpam-1174	3	47	product	product	NOUN
ejpam-1174	3	48	(	(	PUNCT
ejpam-1174	3	49	or	or	CCONJ
ejpam-1174	3	50	convolution	convolution	NOUN
ejpam-1174	3	51	)	)	PUNCT
ejpam-1174	3	52	with	with	ADP
ejpam-1174	3	53	rafid	rafid	ADJ
ejpam-1174	3	54	operator	operator	NOUN
ejpam-1174	3	55	,	,	PUNCT
ejpam-1174	3	56	we	we	PRON
ejpam-1174	3	57	obtain	obtain	VERB
ejpam-1174	3	58	coefficient	coefficient	NOUN
ejpam-1174	3	59	bounds	bound	NOUN
ejpam-1174	3	60	and	and	CCONJ
ejpam-1174	3	61	extreme	extreme	ADJ
ejpam-1174	3	62	points	point	NOUN
ejpam-1174	3	63	for	for	ADP
ejpam-1174	3	64	this	this	DET
ejpam-1174	3	65	class	class	NOUN
ejpam-1174	3	66	.	.	PUNCT
ejpam-1174	4	1	also	also	ADV
ejpam-1174	4	2	distortion	distortion	NOUN
ejpam-1174	4	3	theorem	theorem	ADJ
ejpam-1174	4	4	using	use	VERB
ejpam-1174	4	5	fractional	fractional	ADJ
ejpam-1174	4	6	calculus	calculus	NOUN
ejpam-1174	4	7	techniques	technique	NOUN
ejpam-1174	4	8	and	and	CCONJ
ejpam-1174	4	9	some	some	DET
ejpam-1174	4	10	results	result	NOUN
ejpam-1174	4	11	for	for	ADP
ejpam-1174	4	12	this	this	DET
ejpam-1174	4	13	class	class	NOUN
ejpam-1174	4	14	are	be	AUX
ejpam-1174	4	15	obtained	obtain	VERB
ejpam-1174	4	16	.	.	PUNCT
ejpam-1174	5	1	2000	2000	NUM
ejpam-1174	5	2	mathematics	mathematic	NOUN
ejpam-1174	5	3	subject	subject	NOUN
ejpam-1174	5	4	classifications	classification	NOUN
ejpam-1174	5	5	:	:	PUNCT
ejpam-1174	5	6	30c45	30c45	NUM
ejpam-1174	5	7	key	key	ADJ
ejpam-1174	5	8	words	word	NOUN
ejpam-1174	5	9	and	and	CCONJ
ejpam-1174	5	10	phrases	phrase	NOUN
ejpam-1174	5	11	:	:	PUNCT
ejpam-1174	5	12	univalent	univalent	ADJ
ejpam-1174	5	13	function	function	NOUN
ejpam-1174	5	14	,	,	PUNCT
ejpam-1174	5	15	fractional	fractional	ADJ
ejpam-1174	5	16	calculus	calculus	NOUN
ejpam-1174	5	17	,	,	PUNCT
ejpam-1174	5	18	hadamard	hadamard	ADJ
ejpam-1174	5	19	product	product	NOUN
ejpam-1174	5	20	,	,	PUNCT
ejpam-1174	5	21	distortion	distortion	NOUN
ejpam-1174	5	22	theorem	theorem	VERB
ejpam-1174	5	23	,	,	PUNCT
ejpam-1174	5	24	rafid	rafid	ADJ
ejpam-1174	5	25	-	-	PUNCT
ejpam-1174	5	26	operator	operator	NOUN
ejpam-1174	5	27	,	,	PUNCT
ejpam-1174	5	28	extreme	extreme	ADJ
ejpam-1174	5	29	point	point	NOUN
ejpam-1174	5	30	.	.	PUNCT
ejpam-1174	6	1	1	1	X
ejpam-1174	6	2	.	.	X
ejpam-1174	6	3	introduction	introduction	NOUN
ejpam-1174	6	4	let	let	VERB
ejpam-1174	6	5	r	r	NOUN
ejpam-1174	6	6	denote	denote	VERB
ejpam-1174	6	7	the	the	DET
ejpam-1174	6	8	class	class	NOUN
ejpam-1174	6	9	of	of	ADP
ejpam-1174	6	10	functions	function	NOUN
ejpam-1174	6	11	of	of	ADP
ejpam-1174	6	12	the	the	DET
ejpam-1174	6	13	form	form	NOUN
ejpam-1174	6	14	:	:	PUNCT
ejpam-1174	6	15	f	f	PROPN
ejpam-1174	6	16	(	(	PUNCT
ejpam-1174	6	17	z	z	NOUN
ejpam-1174	6	18	)	)	PUNCT
ejpam-1174	6	19	=	=	PUNCT
ejpam-1174	7	1	z	z	NOUN
ejpam-1174	7	2	−	−	NOUN
ejpam-1174	7	3	∞	∞	PROPN
ejpam-1174	7	4	∑	∑	PROPN
ejpam-1174	7	5	n=2	n=2	PART
ejpam-1174	7	6	anzn	anzn	NOUN
ejpam-1174	7	7	,	,	PUNCT
ejpam-1174	7	8	(	(	PUNCT
ejpam-1174	7	9	an	an	DET
ejpam-1174	7	10	≥	≥	NOUN
ejpam-1174	7	11	0	0	NUM
ejpam-1174	7	12	,	,	PUNCT
ejpam-1174	7	13	n	n	PRON
ejpam-1174	7	14	∈	∈	NOUN
ejpam-1174	7	15	in	in	ADP
ejpam-1174	7	16	=	=	PUNCT
ejpam-1174	7	17	{	{	PUNCT
ejpam-1174	7	18	1,2,3	1,2,3	NUM
ejpam-1174	7	19	,	,	PUNCT
ejpam-1174	7	20	·	·	PUNCT
ejpam-1174	7	21	·	·	PUNCT
ejpam-1174	7	22	·	·	PUNCT
ejpam-1174	7	23	}	}	PUNCT
ejpam-1174	7	24	)	)	PUNCT
ejpam-1174	7	25	(	(	PUNCT
ejpam-1174	7	26	1	1	X
ejpam-1174	7	27	)	)	PUNCT
ejpam-1174	7	28	which	which	PRON
ejpam-1174	7	29	are	be	AUX
ejpam-1174	7	30	analytic	analytic	ADJ
ejpam-1174	7	31	and	and	CCONJ
ejpam-1174	7	32	univalent	univalent	ADJ
ejpam-1174	7	33	in	in	ADP
ejpam-1174	7	34	the	the	DET
ejpam-1174	7	35	unit	unit	NOUN
ejpam-1174	7	36	disk	disk	NOUN
ejpam-1174	7	37	u	u	NOUN
ejpam-1174	7	38	=	=	PUNCT
ejpam-1174	7	39	{	{	PUNCT
ejpam-1174	7	40	z	z	PROPN
ejpam-1174	7	41	∈	∈	PROPN
ejpam-1174	7	42	c	c	NOUN
ejpam-1174	7	43	:	:	PUNCT
ejpam-1174	7	44	|z|	|z|	NOUN
ejpam-1174	7	45	<	<	X
ejpam-1174	7	46	1	1	NUM
ejpam-1174	7	47	}	}	PUNCT
ejpam-1174	7	48	.	.	PUNCT
ejpam-1174	8	1	if	if	SCONJ
ejpam-1174	8	2	f	f	PROPN
ejpam-1174	8	3	∈	∈	PROPN
ejpam-1174	8	4	r	r	NOUN
ejpam-1174	8	5	is	be	AUX
ejpam-1174	8	6	given	give	VERB
ejpam-1174	8	7	by	by	ADP
ejpam-1174	8	8	(	(	PUNCT
ejpam-1174	8	9	1	1	NUM
ejpam-1174	8	10	)	)	PUNCT
ejpam-1174	8	11	and	and	CCONJ
ejpam-1174	8	12	g	g	PROPN
ejpam-1174	8	13	∈	∈	NOUN
ejpam-1174	8	14	r	r	NOUN
ejpam-1174	8	15	given	give	VERB
ejpam-1174	8	16	by	by	ADP
ejpam-1174	8	17	g(z	g(z	PROPN
ejpam-1174	8	18	)	)	PUNCT
ejpam-1174	8	19	=	=	PUNCT
ejpam-1174	9	1	z	z	NOUN
ejpam-1174	10	1	−	−	NOUN
ejpam-1174	10	2	∞	∞	PROPN
ejpam-1174	10	3	∑	∑	PROPN
ejpam-1174	10	4	n=2	n=2	PART
ejpam-1174	10	5	bnzn	bnzn	NOUN
ejpam-1174	10	6	,	,	PUNCT
ejpam-1174	10	7	bn	bn	X
ejpam-1174	10	8	≥	≥	NOUN
ejpam-1174	10	9	0	0	NUM
ejpam-1174	10	10	then	then	ADV
ejpam-1174	10	11	the	the	DET
ejpam-1174	10	12	hadamard	hadamard	ADJ
ejpam-1174	10	13	product	product	NOUN
ejpam-1174	10	14	(	(	PUNCT
ejpam-1174	10	15	or	or	CCONJ
ejpam-1174	10	16	convolution	convolution	NOUN
ejpam-1174	10	17	)	)	PUNCT
ejpam-1174	10	18	f	f	PROPN
ejpam-1174	10	19	∗	∗	NOUN
ejpam-1174	10	20	g	g	NOUN
ejpam-1174	10	21	of	of	ADP
ejpam-1174	10	22	f	f	PROPN
ejpam-1174	10	23	and	and	CCONJ
ejpam-1174	10	24	g	g	PROPN
ejpam-1174	10	25	is	be	AUX
ejpam-1174	10	26	defined	define	VERB
ejpam-1174	10	27	by	by	ADP
ejpam-1174	10	28	f	f	PROPN
ejpam-1174	10	29	∗	∗	NOUN
ejpam-1174	10	30	g(z	g(z	PROPN
ejpam-1174	10	31	)	)	PUNCT
ejpam-1174	11	1	=	=	PUNCT
ejpam-1174	11	2	z	z	NOUN
ejpam-1174	12	1	−	−	NOUN
ejpam-1174	12	2	∞	∞	NUM
ejpam-1174	12	3	∑	∑	PROPN
ejpam-1174	12	4	n=2	n=2	X
ejpam-1174	12	5	an	an	DET
ejpam-1174	12	6	bnzn	bnzn	NOUN
ejpam-1174	12	7	=	=	PUNCT
ejpam-1174	12	8	(	(	PUNCT
ejpam-1174	12	9	g	g	PROPN
ejpam-1174	12	10	∗	∗	X
ejpam-1174	12	11	f	f	PROPN
ejpam-1174	12	12	)	)	PUNCT
ejpam-1174	12	13	(	(	PUNCT
ejpam-1174	12	14	z	z	NOUN
ejpam-1174	12	15	)	)	PUNCT
ejpam-1174	12	16	.	.	PUNCT
ejpam-1174	13	1	(	(	PUNCT
ejpam-1174	13	2	2	2	X
ejpam-1174	13	3	)	)	PUNCT
ejpam-1174	13	4	∗corresponding	∗corresponde	VERB
ejpam-1174	13	5	author	author	NOUN
ejpam-1174	13	6	.	.	PUNCT
ejpam-1174	14	1	email	email	NOUN
ejpam-1174	14	2	addresses	address	NOUN
ejpam-1174	14	3	:	:	PUNCT
ejpam-1174	14	4	waggashnd	waggashnd	PROPN
ejpam-1174	14	5	�	�	PROPN
ejpam-1174	14	6	yahoo	yahoo	PROPN
ejpam-1174	14	7	.	.	PUNCT
ejpam-1174	14	8	om	om	PROPN
ejpam-1174	14	9	(	(	PUNCT
ejpam-1174	14	10	w.	w.	PROPN
ejpam-1174	14	11	atshan	atshan	PROPN
ejpam-1174	14	12	)	)	PUNCT
ejpam-1174	14	13	,	,	PUNCT
ejpam-1174	14	14	rafidhb	rafidhb	PROPN
ejpam-1174	14	15	�	�	PROPN
ejpam-1174	14	16	yahoo	yahoo	PROPN
ejpam-1174	14	17	.	.	PUNCT
ejpam-1174	15	1	om	om	PROPN
ejpam-1174	15	2	(	(	PUNCT
ejpam-1174	15	3	r.	r.	PROPN
ejpam-1174	15	4	buti	buti	PROPN
ejpam-1174	15	5	)	)	PUNCT
ejpam-1174	15	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1174	16	1	162	162	NUM
ejpam-1174	16	2	c	c	X
ejpam-1174	16	3	©	©	NOUN
ejpam-1174	16	4	2011	2011	NUM
ejpam-1174	16	5	ejpam	ejpam	VERB
ejpam-1174	16	6	all	all	DET
ejpam-1174	16	7	rights	right	NOUN
ejpam-1174	16	8	reserved	reserve	VERB
ejpam-1174	16	9	.	.	PUNCT
ejpam-1174	17	1	w.	w.	PROPN
ejpam-1174	17	2	atshan	atshan	PROPN
ejpam-1174	17	3	,	,	PUNCT
ejpam-1174	17	4	r.	r.	PROPN
ejpam-1174	17	5	buti	buti	PROPN
ejpam-1174	17	6	/	/	SYM
ejpam-1174	17	7	eur	eur	PROPN
ejpam-1174	17	8	.	.	PUNCT
ejpam-1174	18	1	j.	j.	PROPN
ejpam-1174	18	2	pure	pure	PROPN
ejpam-1174	18	3	appl	appl	PROPN
ejpam-1174	18	4	.	.	PROPN
ejpam-1174	18	5	math	math	PROPN
ejpam-1174	18	6	,	,	PUNCT
ejpam-1174	18	7	4	4	NUM
ejpam-1174	18	8	(	(	PUNCT
ejpam-1174	18	9	2011	2011	NUM
ejpam-1174	18	10	)	)	PUNCT
ejpam-1174	18	11	,	,	PUNCT
ejpam-1174	18	12	162	162	NUM
ejpam-1174	18	13	-	-	SYM
ejpam-1174	18	14	173	173	NUM
ejpam-1174	18	15	163	163	NUM
ejpam-1174	18	16	lemma	lemma	PROPN
ejpam-1174	18	17	1	1	NUM
ejpam-1174	18	18	.	.	PUNCT
ejpam-1174	18	19	the	the	DET
ejpam-1174	18	20	rafid	rafid	ADJ
ejpam-1174	18	21	-operator	-operator	NOUN
ejpam-1174	18	22	of	of	ADP
ejpam-1174	18	23	f	f	PROPN
ejpam-1174	18	24	∈	∈	PROPN
ejpam-1174	18	25	r	r	NOUN
ejpam-1174	18	26	for	for	ADP
ejpam-1174	18	27	0	0	NUM
ejpam-1174	18	28	≤	≤	NOUN
ejpam-1174	18	29	µ	µ	X
ejpam-1174	18	30	<	<	X
ejpam-1174	18	31	1	1	NUM
ejpam-1174	18	32	,	,	PUNCT
ejpam-1174	18	33	0≤	0≤	NUM
ejpam-1174	18	34	θ	θ	NOUN
ejpam-1174	18	35	≤	≤	NOUN
ejpam-1174	18	36	1	1	NUM
ejpam-1174	18	37	is	be	AUX
ejpam-1174	18	38	denoted	denote	VERB
ejpam-1174	18	39	by	by	ADP
ejpam-1174	18	40	rθµ	rθµ	NOUN
ejpam-1174	18	41	and	and	CCONJ
ejpam-1174	18	42	defined	define	VERB
ejpam-1174	18	43	as	as	ADP
ejpam-1174	18	44	following	follow	VERB
ejpam-1174	18	45	:	:	PUNCT
ejpam-1174	18	46	rθµ	rθµ	PROPN
ejpam-1174	18	47	(	(	PUNCT
ejpam-1174	18	48	f	f	X
ejpam-1174	18	49	(	(	PUNCT
ejpam-1174	18	50	z	z	NOUN
ejpam-1174	18	51	)	)	PUNCT
ejpam-1174	18	52	)	)	PUNCT
ejpam-1174	19	1	=	=	SYM
ejpam-1174	19	2	1	1	NUM
ejpam-1174	19	3	(	(	PUNCT
ejpam-1174	19	4	1−µ)1+θγ(θ	1−µ)1+θγ(θ	NUM
ejpam-1174	19	5	+	+	NOUN
ejpam-1174	19	6	1	1	X
ejpam-1174	19	7	)	)	PUNCT
ejpam-1174	19	8	∫	∫	PROPN
ejpam-1174	20	1	∞	∞	PROPN
ejpam-1174	20	2	0	0	NUM
ejpam-1174	21	1	tθ−1e	tθ−1e	NUM
ejpam-1174	22	1	−	−	PROPN
ejpam-1174	22	2	�	�	PROPN
ejpam-1174	22	3	t	t	PROPN
ejpam-1174	22	4	1−µ	1−µ	NUM
ejpam-1174	22	5	�	�	PROPN
ejpam-1174	22	6	f	f	X
ejpam-1174	22	7	(	(	PUNCT
ejpam-1174	22	8	zt)d	zt)d	PROPN
ejpam-1174	22	9	t	t	NOUN
ejpam-1174	22	10	=	=	PUNCT
ejpam-1174	22	11	z	z	NOUN
ejpam-1174	22	12	−	−	NOUN
ejpam-1174	23	1	∞	∞	PROPN
ejpam-1174	23	2	∑	∑	PROPN
ejpam-1174	23	3	n=2	n=2	X
ejpam-1174	23	4	k(n,µ,θ)anzn	k(n,µ,θ)anzn	NOUN
ejpam-1174	23	5	,	,	PUNCT
ejpam-1174	23	6	(	(	PUNCT
ejpam-1174	23	7	3	3	X
ejpam-1174	23	8	)	)	PUNCT
ejpam-1174	23	9	where	where	SCONJ
ejpam-1174	23	10	k(n,µ,θ	k(n,µ,θ	NOUN
ejpam-1174	23	11	)	)	PUNCT
ejpam-1174	23	12	=	=	PUNCT
ejpam-1174	23	13	(	(	PUNCT
ejpam-1174	23	14	1−µ)n−1γ(θ+n	1−µ)n−1γ(θ+n	NUM
ejpam-1174	23	15	)	)	PUNCT
ejpam-1174	23	16	γ(θ+1	γ(θ+1	PROPN
ejpam-1174	23	17	)	)	PUNCT
ejpam-1174	23	18	.	.	PUNCT
ejpam-1174	24	1	proof	proof	NOUN
ejpam-1174	24	2	.	.	PUNCT
ejpam-1174	25	1	rθµ	rθµ	PROPN
ejpam-1174	25	2	(	(	PUNCT
ejpam-1174	25	3	f	f	PROPN
ejpam-1174	25	4	(	(	PUNCT
ejpam-1174	25	5	z	z	NOUN
ejpam-1174	25	6	)	)	PUNCT
ejpam-1174	25	7	)	)	PUNCT
ejpam-1174	26	1	=	=	SYM
ejpam-1174	26	2	1	1	NUM
ejpam-1174	26	3	(	(	PUNCT
ejpam-1174	26	4	1−µ)1+θγ(θ	1−µ)1+θγ(θ	NUM
ejpam-1174	26	5	+	+	NOUN
ejpam-1174	26	6	1	1	X
ejpam-1174	26	7	)	)	PUNCT
ejpam-1174	26	8	∫	∫	PROPN
ejpam-1174	27	1	∞	∞	PROPN
ejpam-1174	27	2	0	0	NUM
ejpam-1174	28	1	tθ−1e	tθ−1e	NUM
ejpam-1174	29	1	−	−	PROPN
ejpam-1174	29	2	�	�	PROPN
ejpam-1174	29	3	t	t	PROPN
ejpam-1174	29	4	1−µ	1−µ	NUM
ejpam-1174	29	5	�	�	PROPN
ejpam-1174	29	6	f	f	X
ejpam-1174	29	7	(	(	PUNCT
ejpam-1174	29	8	zt)d	zt)d	PROPN
ejpam-1174	29	9	t	t	NOUN
ejpam-1174	29	10	=	=	SYM
ejpam-1174	29	11	1	1	NUM
ejpam-1174	29	12	(	(	PUNCT
ejpam-1174	29	13	1−µ)1+θγ(θ	1−µ)1+θγ(θ	NUM
ejpam-1174	29	14	+	+	NOUN
ejpam-1174	29	15	1	1	X
ejpam-1174	29	16	)	)	PUNCT
ejpam-1174	29	17	∫	∫	PROPN
ejpam-1174	30	1	∞	∞	PROPN
ejpam-1174	30	2	0	0	NUM
ejpam-1174	31	1	tθ−1e	tθ−1e	NUM
ejpam-1174	31	2	−	−	PROPN
ejpam-1174	31	3	�	�	PROPN
ejpam-1174	31	4	t	t	PROPN
ejpam-1174	31	5	1−µ	1−µ	NUM
ejpam-1174	31	6	�	�	PROPN
ejpam-1174	31	7			VERB
ejpam-1174	31	8	zt	zt	NOUN
ejpam-1174	31	9	−	−	NOUN
ejpam-1174	31	10	∞	∞	PROPN
ejpam-1174	31	11	∑	∑	PROPN
ejpam-1174	31	12	n=2	n=2	ADV
ejpam-1174	31	13	an(zt)n	an(zt)n	ADP
ejpam-1174	31	14			PROPN
ejpam-1174	31	15			PROPN
ejpam-1174	31	16	d	d	NOUN
ejpam-1174	31	17	t	t	NOUN
ejpam-1174	31	18	=	=	SYM
ejpam-1174	31	19	1	1	NUM
ejpam-1174	31	20	(	(	PUNCT
ejpam-1174	31	21	1−µ)1+θγ(θ	1−µ)1+θγ(θ	NUM
ejpam-1174	31	22	+	+	NOUN
ejpam-1174	31	23	1	1	X
ejpam-1174	31	24	)	)	PUNCT
ejpam-1174	31	25			NOUN
ejpam-1174	31	26	z	z	ADV
ejpam-1174	31	27	∫	∫	PROPN
ejpam-1174	31	28	∞	∞	NUM
ejpam-1174	31	29	0	0	NUM
ejpam-1174	32	1	tθ	tθ	PROPN
ejpam-1174	32	2	e	e	PROPN
ejpam-1174	32	3	−	−	PROPN
ejpam-1174	32	4	�	�	PROPN
ejpam-1174	32	5	t	t	PROPN
ejpam-1174	32	6	1−µ	1−µ	NUM
ejpam-1174	32	7	�	�	PROPN
ejpam-1174	33	1	d	d	NOUN
ejpam-1174	33	2	t	t	PROPN
ejpam-1174	33	3	−	−	PROPN
ejpam-1174	33	4	∞	∞	PROPN
ejpam-1174	33	5	∑	∑	ADP
ejpam-1174	33	6	n=2	n=2	PRON
ejpam-1174	33	7	anzn	anzn	NOUN
ejpam-1174	33	8	∫	∫	PROPN
ejpam-1174	33	9	∞	∞	PROPN
ejpam-1174	33	10	0	0	NUM
ejpam-1174	34	1	tθ−1+ne	tθ−1+ne	NUM
ejpam-1174	35	1	−	−	PROPN
ejpam-1174	35	2	�	�	PROPN
ejpam-1174	35	3	t	t	PROPN
ejpam-1174	35	4	1−µ	1−µ	NUM
ejpam-1174	35	5	�	�	PROPN
ejpam-1174	35	6	d	d	ADP
ejpam-1174	35	7	t	t	PROPN
ejpam-1174	35	8			PROPN
ejpam-1174	35	9			AUX
ejpam-1174	35	10	let	let	VERB
ejpam-1174	35	11	x	x	SYM
ejpam-1174	35	12	=	=	SYM
ejpam-1174	35	13	t	t	PROPN
ejpam-1174	35	14	1−µ	1−µ	NOUN
ejpam-1174	35	15	,	,	PUNCT
ejpam-1174	35	16	then	then	ADV
ejpam-1174	35	17	if	if	SCONJ
ejpam-1174	35	18	t	t	PROPN
ejpam-1174	35	19	=	=	SYM
ejpam-1174	35	20	0	0	NUM
ejpam-1174	35	21	,	,	PUNCT
ejpam-1174	35	22	we	we	PRON
ejpam-1174	35	23	get	get	VERB
ejpam-1174	35	24	x	x	X
ejpam-1174	35	25	=	=	SYM
ejpam-1174	35	26	0	0	NUM
ejpam-1174	35	27	,	,	PUNCT
ejpam-1174	35	28	t	t	NOUN
ejpam-1174	35	29	=	=	SYM
ejpam-1174	35	30	∞	∞	PROPN
ejpam-1174	35	31	,	,	PUNCT
ejpam-1174	35	32	we	we	PRON
ejpam-1174	35	33	get	get	VERB
ejpam-1174	35	34	x	x	X
ejpam-1174	35	35	=	=	SYM
ejpam-1174	35	36	∞	∞	PROPN
ejpam-1174	35	37	and	and	CCONJ
ejpam-1174	35	38	t	t	NOUN
ejpam-1174	35	39	=	=	SYM
ejpam-1174	35	40	(	(	PUNCT
ejpam-1174	35	41	1−	1−	NUM
ejpam-1174	35	42	µ)x	µ)x	SYM
ejpam-1174	35	43	,	,	PUNCT
ejpam-1174	35	44	then	then	ADV
ejpam-1174	35	45	d	d	X
ejpam-1174	35	46	t	t	PROPN
ejpam-1174	35	47	=	=	SYM
ejpam-1174	35	48	(	(	PUNCT
ejpam-1174	35	49	1−µ)d	1−µ)d	NUM
ejpam-1174	35	50	x	x	INTJ
ejpam-1174	35	51	.	.	PUNCT
ejpam-1174	36	1	thus	thus	ADV
ejpam-1174	36	2	rθµ	rθµ	VERB
ejpam-1174	36	3	(	(	PUNCT
ejpam-1174	36	4	f	f	PROPN
ejpam-1174	36	5	(	(	PUNCT
ejpam-1174	36	6	z	z	NOUN
ejpam-1174	36	7	)	)	PUNCT
ejpam-1174	36	8	)	)	PUNCT
ejpam-1174	37	1	=	=	SYM
ejpam-1174	37	2	1	1	NUM
ejpam-1174	37	3	(	(	PUNCT
ejpam-1174	37	4	1−µ)1+θγ(θ	1−µ)1+θγ(θ	NUM
ejpam-1174	37	5	+	+	NOUN
ejpam-1174	37	6	1	1	X
ejpam-1174	37	7	)	)	PUNCT
ejpam-1174	37	8	�	�	PROPN
ejpam-1174	37	9	z	z	PROPN
ejpam-1174	37	10	∫	∫	PROPN
ejpam-1174	37	11	∞	∞	NUM
ejpam-1174	37	12	0	0	NUM
ejpam-1174	38	1	(	(	PUNCT
ejpam-1174	38	2	1−µ)1+θ	1−µ)1+θ	NUM
ejpam-1174	38	3	e−x	e−x	PROPN
ejpam-1174	38	4	xθd	xθd	PROPN
ejpam-1174	38	5	x	x	PUNCT
ejpam-1174	38	6	−	−	PROPN
ejpam-1174	38	7	∞	∞	NUM
ejpam-1174	38	8	∑	∑	ADP
ejpam-1174	38	9	n=2	n=2	PRON
ejpam-1174	38	10	anzn	anzn	NOUN
ejpam-1174	38	11	∫	∫	PROPN
ejpam-1174	38	12	∞	∞	PROPN
ejpam-1174	38	13	0	0	NUM
ejpam-1174	39	1	(	(	PUNCT
ejpam-1174	39	2	1−µ)θ+ne−x	1−µ)θ+ne−x	NUM
ejpam-1174	39	3	xθ−1+nd	xθ−1+nd	PUNCT
ejpam-1174	39	4	x	x	SYM
ejpam-1174	39	5			PROPN
ejpam-1174	39	6			PROPN
ejpam-1174	39	7	=	=	SYM
ejpam-1174	39	8	1	1	NUM
ejpam-1174	39	9	(	(	PUNCT
ejpam-1174	39	10	1−µ)1+θγ(θ	1−µ)1+θγ(θ	NUM
ejpam-1174	39	11	+	+	NOUN
ejpam-1174	39	12	1	1	X
ejpam-1174	39	13	)	)	PUNCT
ejpam-1174	39	14			NOUN
ejpam-1174	39	15	z(1−µ)1+θγ(θ	z(1−µ)1+θγ(θ	PROPN
ejpam-1174	40	1	+	+	PROPN
ejpam-1174	41	1	1)−	1)−	NUM
ejpam-1174	41	2	∞	∞	NUM
ejpam-1174	41	3	∑	∑	PUNCT
ejpam-1174	41	4	n=2	n=2	ADV
ejpam-1174	41	5	anzn(1−µ)θ+nγ(θ	anzn(1−µ)θ+nγ(θ	PROPN
ejpam-1174	41	6	+	+	CCONJ
ejpam-1174	41	7	n	n	CCONJ
ejpam-1174	41	8	)	)	PUNCT
ejpam-1174	41	9			PROPN
ejpam-1174	42	1			PROPN
ejpam-1174	42	2	=	=	SYM
ejpam-1174	42	3	z	z	NOUN
ejpam-1174	42	4	−	−	NOUN
ejpam-1174	42	5	∞	∞	PROPN
ejpam-1174	42	6	∑	∑	PROPN
ejpam-1174	42	7	n=2	n=2	X
ejpam-1174	42	8	(	(	PUNCT
ejpam-1174	42	9	1−µ)n−1γ(θ	1−µ)n−1γ(θ	NUM
ejpam-1174	42	10	+	+	NUM
ejpam-1174	42	11	n	n	CCONJ
ejpam-1174	42	12	)	)	PUNCT
ejpam-1174	42	13	γ(θ	γ(θ	VERB
ejpam-1174	43	1	+	+	CCONJ
ejpam-1174	43	2	1	1	X
ejpam-1174	43	3	)	)	PUNCT
ejpam-1174	43	4	anzn	anzn	NOUN
ejpam-1174	43	5	=	=	SYM
ejpam-1174	43	6	z	z	NOUN
ejpam-1174	44	1	−	−	NOUN
ejpam-1174	44	2	∞	∞	PROPN
ejpam-1174	44	3	∑	∑	PROPN
ejpam-1174	44	4	n=2	n=2	ADV
ejpam-1174	44	5	k(n,µ,θ)anzn	k(n,µ,θ)anzn	NOUN
ejpam-1174	44	6	.	.	PUNCT
ejpam-1174	45	1	definition	definition	NOUN
ejpam-1174	45	2	1	1	NUM
ejpam-1174	45	3	.	.	PUNCT
ejpam-1174	46	1	a	a	DET
ejpam-1174	46	2	function	function	NOUN
ejpam-1174	46	3	f	f	X
ejpam-1174	46	4	(	(	PUNCT
ejpam-1174	46	5	z	z	NOUN
ejpam-1174	46	6	)	)	PUNCT
ejpam-1174	46	7	∈	∈	PROPN
ejpam-1174	46	8	r	r	NOUN
ejpam-1174	46	9	,	,	PUNCT
ejpam-1174	46	10	z	z	PROPN
ejpam-1174	46	11	∈	∈	NOUN
ejpam-1174	46	12	u	u	NOUN
ejpam-1174	46	13	is	be	AUX
ejpam-1174	46	14	said	say	VERB
ejpam-1174	46	15	to	to	PART
ejpam-1174	46	16	be	be	AUX
ejpam-1174	46	17	in	in	ADP
ejpam-1174	46	18	the	the	DET
ejpam-1174	46	19	class	class	NOUN
ejpam-1174	46	20	wr(λ	wr(λ	ADP
ejpam-1174	46	21	,	,	PUNCT
ejpam-1174	46	22	β	β	X
ejpam-1174	46	23	,	,	PUNCT
ejpam-1174	46	24	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	46	25	)	)	PUNCT
ejpam-1174	46	26	if	if	SCONJ
ejpam-1174	46	27	and	and	CCONJ
ejpam-1174	46	28	only	only	ADV
ejpam-1174	46	29	if	if	SCONJ
ejpam-1174	46	30	satisfies	satisfy	VERB
ejpam-1174	46	31	the	the	DET
ejpam-1174	46	32	inequality	inequality	NOUN
ejpam-1174	46	33	:	:	PUNCT
ejpam-1174	46	34	re	re	X
ejpam-1174	46	35	(	(	PUNCT
ejpam-1174	46	36	z(rθµ	z(rθµ	X
ejpam-1174	46	37	(	(	PUNCT
ejpam-1174	46	38	(	(	PUNCT
ejpam-1174	46	39	f	f	NOUN
ejpam-1174	46	40	∗	∗	X
ejpam-1174	46	41	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	46	42	(	(	PUNCT
ejpam-1174	46	43	(	(	PUNCT
ejpam-1174	46	44	f	f	PROPN
ejpam-1174	46	45	∗	∗	X
ejpam-1174	46	46	g)(z)))′′	g)(z)))′′	X
ejpam-1174	46	47	(	(	PUNCT
ejpam-1174	46	48	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	46	49	(	(	PUNCT
ejpam-1174	46	50	(	(	PUNCT
ejpam-1174	46	51	f	f	PROPN
ejpam-1174	46	52	∗	∗	NOUN
ejpam-1174	46	53	g)(z	g)(z	PUNCT
ejpam-1174	46	54	)	)	PUNCT
ejpam-1174	46	55	)	)	PUNCT
ejpam-1174	47	1	+	+	X
ejpam-1174	47	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	47	3	(	(	PUNCT
ejpam-1174	47	4	(	(	PUNCT
ejpam-1174	47	5	f	f	PROPN
ejpam-1174	47	6	∗	∗	X
ejpam-1174	47	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	47	8	)	)	PUNCT
ejpam-1174	47	9	w.	w.	PROPN
ejpam-1174	47	10	atshan	atshan	PROPN
ejpam-1174	47	11	,	,	PUNCT
ejpam-1174	47	12	r.	r.	PROPN
ejpam-1174	47	13	buti	buti	PROPN
ejpam-1174	47	14	/	/	SYM
ejpam-1174	47	15	eur	eur	PROPN
ejpam-1174	47	16	.	.	PUNCT
ejpam-1174	48	1	j.	j.	PROPN
ejpam-1174	48	2	pure	pure	PROPN
ejpam-1174	48	3	appl	appl	PROPN
ejpam-1174	48	4	.	.	PROPN
ejpam-1174	48	5	math	math	PROPN
ejpam-1174	48	6	,	,	PUNCT
ejpam-1174	48	7	4	4	NUM
ejpam-1174	48	8	(	(	PUNCT
ejpam-1174	48	9	2011	2011	NUM
ejpam-1174	48	10	)	)	PUNCT
ejpam-1174	48	11	,	,	PUNCT
ejpam-1174	48	12	162	162	NUM
ejpam-1174	48	13	-	-	SYM
ejpam-1174	48	14	173	173	NUM
ejpam-1174	48	15	164	164	NUM
ejpam-1174	48	16	≥	≥	NOUN
ejpam-1174	48	17	β	β	X
ejpam-1174	48	18	�	�	PROPN
ejpam-1174	48	19	�	�	PROPN
ejpam-1174	48	20	�	�	PROPN
ejpam-1174	48	21	�	�	PROPN
ejpam-1174	48	22	�	�	PROPN
ejpam-1174	48	23	z(rθµ	z(rθµ	PROPN
ejpam-1174	48	24	(	(	PUNCT
ejpam-1174	48	25	(	(	PUNCT
ejpam-1174	48	26	f	f	NOUN
ejpam-1174	48	27	∗	∗	X
ejpam-1174	48	28	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	48	29	(	(	PUNCT
ejpam-1174	48	30	(	(	PUNCT
ejpam-1174	48	31	f	f	PROPN
ejpam-1174	48	32	∗	∗	X
ejpam-1174	48	33	g)(z)))′′	g)(z)))′′	X
ejpam-1174	48	34	(	(	PUNCT
ejpam-1174	48	35	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	48	36	(	(	PUNCT
ejpam-1174	48	37	(	(	PUNCT
ejpam-1174	48	38	f	f	PROPN
ejpam-1174	48	39	∗	∗	NOUN
ejpam-1174	48	40	g)(z	g)(z	PUNCT
ejpam-1174	48	41	)	)	PUNCT
ejpam-1174	48	42	)	)	PUNCT
ejpam-1174	49	1	+	+	X
ejpam-1174	50	1	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	50	2	(	(	PUNCT
ejpam-1174	50	3	(	(	PUNCT
ejpam-1174	50	4	f	f	PROPN
ejpam-1174	50	5	∗	∗	VERB
ejpam-1174	50	6	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	50	7	−	−	PROPN
ejpam-1174	50	8	1	1	NUM
ejpam-1174	50	9	�	�	PROPN
ejpam-1174	50	10	�	�	PROPN
ejpam-1174	50	11	�	�	PROPN
ejpam-1174	50	12	�	�	PROPN
ejpam-1174	50	13	�	�	PROPN
ejpam-1174	50	14	+	+	PROPN
ejpam-1174	50	15	α	α	PROPN
ejpam-1174	50	16	,	,	PUNCT
ejpam-1174	50	17	(	(	PUNCT
ejpam-1174	50	18	4	4	X
ejpam-1174	50	19	)	)	PUNCT
ejpam-1174	50	20	where	where	SCONJ
ejpam-1174	50	21	0≤	0≤	DET
ejpam-1174	50	22	α	α	X
ejpam-1174	50	23	<	<	X
ejpam-1174	50	24	1	1	NUM
ejpam-1174	50	25	,	,	PUNCT
ejpam-1174	50	26	0≤	0≤	NUM
ejpam-1174	50	27	λ≤	λ≤	VERB
ejpam-1174	50	28	1	1	NUM
ejpam-1174	50	29	,	,	PUNCT
ejpam-1174	50	30	β	β	X
ejpam-1174	50	31	≥	≥	NOUN
ejpam-1174	50	32	0	0	NUM
ejpam-1174	50	33	,	,	PUNCT
ejpam-1174	50	34	z	z	PROPN
ejpam-1174	50	35	∈	∈	PROPN
ejpam-1174	50	36	u	u	NOUN
ejpam-1174	50	37	,	,	PUNCT
ejpam-1174	50	38	0≤	0≤	NUM
ejpam-1174	50	39	µ	µ	X
ejpam-1174	50	40	<	<	X
ejpam-1174	50	41	1	1	NUM
ejpam-1174	50	42	,	,	PUNCT
ejpam-1174	50	43	0≤	0≤	NUM
ejpam-1174	50	44	θ	θ	NOUN
ejpam-1174	50	45	≤	≤	NUM
ejpam-1174	50	46	1	1	NUM
ejpam-1174	50	47	and	and	CCONJ
ejpam-1174	50	48	g(z	g(z	ADJ
ejpam-1174	50	49	)	)	PUNCT
ejpam-1174	50	50	∈	∈	PROPN
ejpam-1174	50	51	r	r	NOUN
ejpam-1174	50	52	given	give	VERB
ejpam-1174	50	53	by	by	ADP
ejpam-1174	50	54	g(z	g(z	PROPN
ejpam-1174	50	55	)	)	PUNCT
ejpam-1174	50	56	=	=	PUNCT
ejpam-1174	51	1	z	z	NOUN
ejpam-1174	52	1	−	−	NOUN
ejpam-1174	52	2	∞	∞	PROPN
ejpam-1174	52	3	∑	∑	PROPN
ejpam-1174	52	4	n=2	n=2	PART
ejpam-1174	52	5	bnzn	bnzn	NOUN
ejpam-1174	52	6	,	,	PUNCT
ejpam-1174	52	7	bn	bn	X
ejpam-1174	52	8	≥	≥	NOUN
ejpam-1174	52	9	0	0	NUM
ejpam-1174	52	10	.	.	PUNCT
ejpam-1174	53	1	lemma	lemma	PROPN
ejpam-1174	53	2	2	2	NUM
ejpam-1174	53	3	.	.	PUNCT
ejpam-1174	54	1	[	[	X
ejpam-1174	54	2	1	1	X
ejpam-1174	54	3	]	]	PUNCT
ejpam-1174	54	4	let	let	VERB
ejpam-1174	54	5	w	w	NOUN
ejpam-1174	54	6	=	=	PUNCT
ejpam-1174	54	7	u+	u+	NUM
ejpam-1174	54	8	iv	iv	NUM
ejpam-1174	54	9	.	.	PUNCT
ejpam-1174	55	1	then	then	ADV
ejpam-1174	55	2	re	re	VERB
ejpam-1174	55	3	w	w	PROPN
ejpam-1174	55	4	≥	≥	PROPN
ejpam-1174	55	5	σ	σ	NOUN
ejpam-1174	55	6	if	if	SCONJ
ejpam-1174	55	7	and	and	CCONJ
ejpam-1174	55	8	only	only	ADV
ejpam-1174	55	9	if	if	SCONJ
ejpam-1174	55	10	|w	|w	ADJ
ejpam-1174	55	11	−	−	PROPN
ejpam-1174	55	12	(	(	PUNCT
ejpam-1174	55	13	1+σ)|	1+σ)|	NUM
ejpam-1174	55	14	≤	≤	NUM
ejpam-1174	55	15	|w	|w	NOUN
ejpam-1174	55	16	+	+	X
ejpam-1174	55	17	(	(	PUNCT
ejpam-1174	55	18	1−σ)|	1−σ)|	NUM
ejpam-1174	55	19	.	.	PUNCT
ejpam-1174	56	1	lemma	lemma	PROPN
ejpam-1174	56	2	3	3	X
ejpam-1174	56	3	.	.	PUNCT
ejpam-1174	57	1	[	[	X
ejpam-1174	57	2	1	1	X
ejpam-1174	57	3	]	]	PUNCT
ejpam-1174	57	4	let	let	VERB
ejpam-1174	57	5	w	w	NOUN
ejpam-1174	57	6	=	=	PRON
ejpam-1174	57	7	u+	u+	NUM
ejpam-1174	57	8	iv	iv	NUM
ejpam-1174	57	9	and	and	CCONJ
ejpam-1174	57	10	σ	σ	PROPN
ejpam-1174	57	11	,	,	PUNCT
ejpam-1174	57	12	γ	γ	NOUN
ejpam-1174	57	13	are	be	AUX
ejpam-1174	57	14	real	real	ADJ
ejpam-1174	57	15	numbers	number	NOUN
ejpam-1174	57	16	.	.	PUNCT
ejpam-1174	58	1	then	then	ADV
ejpam-1174	58	2	re	re	VERB
ejpam-1174	58	3	w	w	PROPN
ejpam-1174	58	4	>	>	X
ejpam-1174	58	5	σ|w−1|+γ	σ|w−1|+γ	PROPN
ejpam-1174	58	6	if	if	SCONJ
ejpam-1174	58	7	and	and	CCONJ
ejpam-1174	58	8	only	only	ADV
ejpam-1174	58	9	if	if	SCONJ
ejpam-1174	58	10	re	re	X
ejpam-1174	58	11	{	{	PUNCT
ejpam-1174	58	12	w(1+σeiφ)−σeiφ	w(1+σeiφ)−σeiφ	PROPN
ejpam-1174	58	13	}	}	PUNCT
ejpam-1174	58	14	>	>	X
ejpam-1174	58	15	γ	γ	X
ejpam-1174	58	16	.	.	PUNCT
ejpam-1174	58	17	we	we	PRON
ejpam-1174	58	18	aim	aim	VERB
ejpam-1174	58	19	to	to	PART
ejpam-1174	58	20	study	study	VERB
ejpam-1174	58	21	the	the	DET
ejpam-1174	58	22	coefficient	coefficient	NOUN
ejpam-1174	58	23	bounds	bound	NOUN
ejpam-1174	58	24	,	,	PUNCT
ejpam-1174	58	25	extreme	extreme	ADJ
ejpam-1174	58	26	points	point	NOUN
ejpam-1174	58	27	,	,	PUNCT
ejpam-1174	58	28	application	application	NOUN
ejpam-1174	58	29	of	of	ADP
ejpam-1174	58	30	fractional	fractional	ADJ
ejpam-1174	58	31	calculus	calculus	NOUN
ejpam-1174	58	32	and	and	CCONJ
ejpam-1174	58	33	hadamard	hadamard	ADJ
ejpam-1174	58	34	product	product	NOUN
ejpam-1174	58	35	of	of	ADP
ejpam-1174	58	36	the	the	DET
ejpam-1174	58	37	class	class	NOUN
ejpam-1174	58	38	wr(λ	wr(λ	ADP
ejpam-1174	58	39	,	,	PUNCT
ejpam-1174	58	40	β	β	X
ejpam-1174	58	41	,	,	PUNCT
ejpam-1174	58	42	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	58	43	)	)	PUNCT
ejpam-1174	58	44	.	.	PUNCT
ejpam-1174	59	1	2	2	X
ejpam-1174	59	2	.	.	X
ejpam-1174	59	3	coefficient	coefficient	NOUN
ejpam-1174	59	4	bounds	bound	NOUN
ejpam-1174	59	5	and	and	CCONJ
ejpam-1174	59	6	extreme	extreme	ADJ
ejpam-1174	59	7	points	point	NOUN
ejpam-1174	59	8	we	we	PRON
ejpam-1174	59	9	obtain	obtain	VERB
ejpam-1174	59	10	here	here	ADV
ejpam-1174	59	11	a	a	DET
ejpam-1174	59	12	necessary	necessary	ADJ
ejpam-1174	59	13	and	and	CCONJ
ejpam-1174	59	14	sufficient	sufficient	ADJ
ejpam-1174	59	15	condition	condition	NOUN
ejpam-1174	59	16	and	and	CCONJ
ejpam-1174	59	17	extreme	extreme	ADJ
ejpam-1174	59	18	points	point	NOUN
ejpam-1174	59	19	for	for	ADP
ejpam-1174	59	20	the	the	DET
ejpam-1174	59	21	functions	function	NOUN
ejpam-1174	59	22	f	f	X
ejpam-1174	59	23	(	(	PUNCT
ejpam-1174	59	24	z	z	NOUN
ejpam-1174	59	25	)	)	PUNCT
ejpam-1174	59	26	in	in	ADP
ejpam-1174	59	27	the	the	DET
ejpam-1174	59	28	class	class	NOUN
ejpam-1174	59	29	wr(λ	wr(λ	ADP
ejpam-1174	59	30	,	,	PUNCT
ejpam-1174	59	31	β	β	X
ejpam-1174	59	32	,	,	PUNCT
ejpam-1174	59	33	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	59	34	)	)	PUNCT
ejpam-1174	59	35	.	.	PUNCT
ejpam-1174	60	1	theorem	theorem	NOUN
ejpam-1174	60	2	1	1	NUM
ejpam-1174	60	3	.	.	PUNCT
ejpam-1174	61	1	the	the	DET
ejpam-1174	61	2	function	function	NOUN
ejpam-1174	61	3	f	f	PROPN
ejpam-1174	61	4	(	(	PUNCT
ejpam-1174	61	5	z	z	NOUN
ejpam-1174	61	6	)	)	PUNCT
ejpam-1174	61	7	defined	define	VERB
ejpam-1174	61	8	by	by	ADP
ejpam-1174	61	9	(	(	PUNCT
ejpam-1174	61	10	1	1	X
ejpam-1174	61	11	)	)	PUNCT
ejpam-1174	61	12	is	be	AUX
ejpam-1174	61	13	in	in	ADP
ejpam-1174	61	14	the	the	DET
ejpam-1174	61	15	class	class	NOUN
ejpam-1174	61	16	wr(λ	wr(λ	ADP
ejpam-1174	61	17	,	,	PUNCT
ejpam-1174	61	18	β	β	X
ejpam-1174	61	19	,	,	PUNCT
ejpam-1174	61	20	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	61	21	)	)	PUNCT
ejpam-1174	62	1	if	if	SCONJ
ejpam-1174	62	2	and	and	CCONJ
ejpam-1174	62	3	only	only	ADV
ejpam-1174	62	4	if	if	SCONJ
ejpam-1174	62	5	∞	∞	PROPN
ejpam-1174	62	6	∑	∑	ADV
ejpam-1174	62	7	n=2	n=2	X
ejpam-1174	62	8	(	(	PUNCT
ejpam-1174	62	9	1−λ+	1−λ+	NUM
ejpam-1174	62	10	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	62	11	+	+	PROPN
ejpam-1174	62	12	β)−	β)−	PROPN
ejpam-1174	62	13	(	(	PUNCT
ejpam-1174	62	14	β	β	X
ejpam-1174	62	15	+	+	NOUN
ejpam-1174	62	16	α)]k(n,µ,θ)an	α)]k(n,µ,θ)an	PROPN
ejpam-1174	62	17	bn	bn	NOUN
ejpam-1174	62	18	≤	≤	NUM
ejpam-1174	62	19	1−α	1−α	NUM
ejpam-1174	62	20	,	,	PUNCT
ejpam-1174	62	21	(	(	PUNCT
ejpam-1174	62	22	5	5	NUM
ejpam-1174	62	23	)	)	PUNCT
ejpam-1174	62	24	where	where	SCONJ
ejpam-1174	62	25	0≤	0≤	DET
ejpam-1174	62	26	α	α	X
ejpam-1174	62	27	<	<	X
ejpam-1174	62	28	1	1	NUM
ejpam-1174	62	29	,	,	PUNCT
ejpam-1174	62	30	β	β	X
ejpam-1174	62	31	≥	≥	NOUN
ejpam-1174	62	32	0	0	NUM
ejpam-1174	62	33	,	,	PUNCT
ejpam-1174	62	34	0≤	0≤	NUM
ejpam-1174	62	35	λ≤	λ≤	VERB
ejpam-1174	62	36	1	1	NUM
ejpam-1174	62	37	,	,	PUNCT
ejpam-1174	62	38	0≤	0≤	NUM
ejpam-1174	62	39	µ	µ	X
ejpam-1174	62	40	<	<	X
ejpam-1174	62	41	1	1	NUM
ejpam-1174	62	42	and	and	CCONJ
ejpam-1174	62	43	0≤	0≤	NUM
ejpam-1174	62	44	θ	θ	NOUN
ejpam-1174	62	45	≤	≤	NUM
ejpam-1174	62	46	1	1	NUM
ejpam-1174	62	47	.	.	PUNCT
ejpam-1174	63	1	proof	proof	NOUN
ejpam-1174	63	2	.	.	PUNCT
ejpam-1174	64	1	by	by	ADP
ejpam-1174	64	2	definition	definition	NOUN
ejpam-1174	64	3	1	1	NUM
ejpam-1174	64	4	,	,	PUNCT
ejpam-1174	64	5	we	we	PRON
ejpam-1174	64	6	get	get	VERB
ejpam-1174	64	7	re	re	ADP
ejpam-1174	64	8	(	(	PUNCT
ejpam-1174	64	9	z(rθµ	z(rθµ	X
ejpam-1174	64	10	(	(	PUNCT
ejpam-1174	64	11	(	(	PUNCT
ejpam-1174	64	12	f	f	NOUN
ejpam-1174	64	13	∗	∗	X
ejpam-1174	64	14	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	64	15	(	(	PUNCT
ejpam-1174	64	16	(	(	PUNCT
ejpam-1174	64	17	f	f	PROPN
ejpam-1174	64	18	∗	∗	X
ejpam-1174	64	19	g)(z)))′′	g)(z)))′′	X
ejpam-1174	64	20	(	(	PUNCT
ejpam-1174	64	21	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	64	22	(	(	PUNCT
ejpam-1174	64	23	(	(	PUNCT
ejpam-1174	64	24	f	f	PROPN
ejpam-1174	64	25	∗	∗	NOUN
ejpam-1174	64	26	g)(z	g)(z	PUNCT
ejpam-1174	64	27	)	)	PUNCT
ejpam-1174	64	28	)	)	PUNCT
ejpam-1174	65	1	+	+	X
ejpam-1174	65	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	65	3	(	(	PUNCT
ejpam-1174	65	4	(	(	PUNCT
ejpam-1174	65	5	f	f	PROPN
ejpam-1174	65	6	∗	∗	X
ejpam-1174	65	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	65	8	)	)	PUNCT
ejpam-1174	65	9	≥	≥	PROPN
ejpam-1174	65	10	β	β	X
ejpam-1174	65	11	�	�	PROPN
ejpam-1174	65	12	�	�	PROPN
ejpam-1174	65	13	�	�	PROPN
ejpam-1174	65	14	�	�	PROPN
ejpam-1174	65	15	�	�	PROPN
ejpam-1174	65	16	z(rθµ	z(rθµ	PROPN
ejpam-1174	65	17	(	(	PUNCT
ejpam-1174	65	18	(	(	PUNCT
ejpam-1174	65	19	f	f	NOUN
ejpam-1174	65	20	∗	∗	X
ejpam-1174	65	21	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	65	22	(	(	PUNCT
ejpam-1174	65	23	(	(	PUNCT
ejpam-1174	65	24	f	f	PROPN
ejpam-1174	65	25	∗	∗	X
ejpam-1174	65	26	g)(z)))′′	g)(z)))′′	X
ejpam-1174	65	27	(	(	PUNCT
ejpam-1174	65	28	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	65	29	(	(	PUNCT
ejpam-1174	65	30	(	(	PUNCT
ejpam-1174	65	31	f	f	PROPN
ejpam-1174	65	32	∗	∗	NOUN
ejpam-1174	65	33	g)(z	g)(z	PUNCT
ejpam-1174	65	34	)	)	PUNCT
ejpam-1174	65	35	)	)	PUNCT
ejpam-1174	66	1	+	+	X
ejpam-1174	66	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	66	3	(	(	PUNCT
ejpam-1174	66	4	(	(	PUNCT
ejpam-1174	66	5	f	f	PROPN
ejpam-1174	66	6	∗	∗	VERB
ejpam-1174	66	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	66	8	−	−	PROPN
ejpam-1174	66	9	1	1	NUM
ejpam-1174	66	10	�	�	PROPN
ejpam-1174	66	11	�	�	PROPN
ejpam-1174	66	12	�	�	PROPN
ejpam-1174	66	13	�	�	PROPN
ejpam-1174	66	14	�	�	PROPN
ejpam-1174	66	15	+	+	PROPN
ejpam-1174	66	16	α	α	X
ejpam-1174	66	17	.	.	PUNCT
ejpam-1174	67	1	then	then	ADV
ejpam-1174	67	2	by	by	ADP
ejpam-1174	67	3	lemma	lemma	PROPN
ejpam-1174	67	4	3	3	NUM
ejpam-1174	67	5	,	,	PUNCT
ejpam-1174	67	6	we	we	PRON
ejpam-1174	67	7	have	have	AUX
ejpam-1174	67	8	re	re	VERB
ejpam-1174	67	9	(	(	PUNCT
ejpam-1174	67	10	z(rθµ	z(rθµ	X
ejpam-1174	67	11	(	(	PUNCT
ejpam-1174	67	12	(	(	PUNCT
ejpam-1174	67	13	f	f	NOUN
ejpam-1174	67	14	∗	∗	X
ejpam-1174	67	15	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	67	16	(	(	PUNCT
ejpam-1174	67	17	(	(	PUNCT
ejpam-1174	67	18	f	f	PROPN
ejpam-1174	67	19	∗	∗	X
ejpam-1174	67	20	g)(z)))′′	g)(z)))′′	X
ejpam-1174	67	21	(	(	PUNCT
ejpam-1174	67	22	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	67	23	(	(	PUNCT
ejpam-1174	67	24	(	(	PUNCT
ejpam-1174	67	25	f	f	PROPN
ejpam-1174	67	26	∗	∗	NOUN
ejpam-1174	67	27	g)(z	g)(z	PUNCT
ejpam-1174	67	28	)	)	PUNCT
ejpam-1174	67	29	)	)	PUNCT
ejpam-1174	68	1	+	+	X
ejpam-1174	68	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	68	3	(	(	PUNCT
ejpam-1174	68	4	(	(	PUNCT
ejpam-1174	68	5	f	f	PROPN
ejpam-1174	68	6	∗	∗	X
ejpam-1174	68	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	68	8	(	(	PUNCT
ejpam-1174	68	9	1	1	NUM
ejpam-1174	68	10	+	+	NUM
ejpam-1174	68	11	βeiφ)−βeiφ	βeiφ)−βeiφ	NUM
ejpam-1174	68	12	)	)	PUNCT
ejpam-1174	68	13	≥	≥	PROPN
ejpam-1174	68	14	α	α	NOUN
ejpam-1174	68	15	,	,	PUNCT
ejpam-1174	68	16	−π	−π	PROPN
ejpam-1174	68	17	<	<	X
ejpam-1174	68	18	φ	φ	PROPN
ejpam-1174	68	19	≤	≤	PROPN
ejpam-1174	68	20	π	π	PROPN
ejpam-1174	68	21	,	,	PUNCT
ejpam-1174	68	22	or	or	CCONJ
ejpam-1174	68	23	equivalently	equivalently	ADV
ejpam-1174	68	24	,	,	PUNCT
ejpam-1174	68	25	re	re	ADP
ejpam-1174	68	26	(	(	PUNCT
ejpam-1174	68	27	(	(	PUNCT
ejpam-1174	68	28	z(rθµ	z(rθµ	X
ejpam-1174	68	29	(	(	PUNCT
ejpam-1174	68	30	(	(	PUNCT
ejpam-1174	68	31	f	f	NOUN
ejpam-1174	68	32	∗	∗	X
ejpam-1174	68	33	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	68	34	(	(	PUNCT
ejpam-1174	68	35	(	(	PUNCT
ejpam-1174	68	36	f	f	PROPN
ejpam-1174	68	37	∗	∗	NOUN
ejpam-1174	68	38	g)(z)))′′)(1	g)(z)))′′)(1	NOUN
ejpam-1174	68	39	+	+	CCONJ
ejpam-1174	68	40	βeiφ	βeiφ	NOUN
ejpam-1174	68	41	)	)	PUNCT
ejpam-1174	68	42	(	(	PUNCT
ejpam-1174	68	43	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	68	44	(	(	PUNCT
ejpam-1174	68	45	(	(	PUNCT
ejpam-1174	68	46	f	f	PROPN
ejpam-1174	68	47	∗	∗	NOUN
ejpam-1174	68	48	g)(z	g)(z	PUNCT
ejpam-1174	68	49	)	)	PUNCT
ejpam-1174	68	50	)	)	PUNCT
ejpam-1174	69	1	+	+	X
ejpam-1174	69	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	69	3	(	(	PUNCT
ejpam-1174	69	4	(	(	PUNCT
ejpam-1174	69	5	f	f	PROPN
ejpam-1174	69	6	∗	∗	NOUN
ejpam-1174	69	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	69	8	w.	w.	PROPN
ejpam-1174	69	9	atshan	atshan	PROPN
ejpam-1174	69	10	,	,	PUNCT
ejpam-1174	69	11	r.	r.	PROPN
ejpam-1174	69	12	buti	buti	PROPN
ejpam-1174	69	13	/	/	SYM
ejpam-1174	69	14	eur	eur	PROPN
ejpam-1174	69	15	.	.	PUNCT
ejpam-1174	70	1	j.	j.	PROPN
ejpam-1174	70	2	pure	pure	PROPN
ejpam-1174	70	3	appl	appl	PROPN
ejpam-1174	70	4	.	.	PROPN
ejpam-1174	70	5	math	math	PROPN
ejpam-1174	70	6	,	,	PUNCT
ejpam-1174	70	7	4	4	NUM
ejpam-1174	70	8	(	(	PUNCT
ejpam-1174	70	9	2011	2011	NUM
ejpam-1174	70	10	)	)	PUNCT
ejpam-1174	70	11	,	,	PUNCT
ejpam-1174	70	12	162	162	NUM
ejpam-1174	70	13	-	-	SYM
ejpam-1174	70	14	173	173	NUM
ejpam-1174	70	15	165	165	NUM
ejpam-1174	70	16	−	−	PROPN
ejpam-1174	70	17	βeiφ((1−λ)(rθµ	βeiφ((1−λ)(rθµ	PROPN
ejpam-1174	70	18	(	(	PUNCT
ejpam-1174	70	19	(	(	PUNCT
ejpam-1174	70	20	f	f	PROPN
ejpam-1174	70	21	∗	∗	NOUN
ejpam-1174	70	22	g)(z	g)(z	PUNCT
ejpam-1174	70	23	)	)	PUNCT
ejpam-1174	70	24	)	)	PUNCT
ejpam-1174	71	1	+	+	X
ejpam-1174	71	2	λz2(rθµ	λz2(rθµ	PROPN
ejpam-1174	71	3	(	(	PUNCT
ejpam-1174	71	4	(	(	PUNCT
ejpam-1174	71	5	f	f	PROPN
ejpam-1174	71	6	∗	∗	NOUN
ejpam-1174	71	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	71	8	)	)	PUNCT
ejpam-1174	71	9	)	)	PUNCT
ejpam-1174	71	10	(	(	PUNCT
ejpam-1174	71	11	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	71	12	(	(	PUNCT
ejpam-1174	71	13	(	(	PUNCT
ejpam-1174	71	14	f	f	PROPN
ejpam-1174	71	15	∗	∗	NOUN
ejpam-1174	71	16	g)(z	g)(z	PUNCT
ejpam-1174	71	17	)	)	PUNCT
ejpam-1174	71	18	)	)	PUNCT
ejpam-1174	72	1	+	+	X
ejpam-1174	72	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	72	3	(	(	PUNCT
ejpam-1174	72	4	(	(	PUNCT
ejpam-1174	72	5	f	f	PROPN
ejpam-1174	72	6	∗	∗	X
ejpam-1174	72	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	72	8	)	)	PUNCT
ejpam-1174	72	9	≥	≥	PROPN
ejpam-1174	72	10	α	α	X
ejpam-1174	72	11	.	.	PUNCT
ejpam-1174	73	1	(	(	PUNCT
ejpam-1174	73	2	6	6	X
ejpam-1174	73	3	)	)	PUNCT
ejpam-1174	73	4	let	let	VERB
ejpam-1174	73	5	f(z	f(z	NOUN
ejpam-1174	73	6	)	)	PUNCT
ejpam-1174	74	1	=	=	PUNCT
ejpam-1174	75	1	[	[	X
ejpam-1174	75	2	z(rθµ	z(rθµ	X
ejpam-1174	75	3	(	(	PUNCT
ejpam-1174	75	4	(	(	PUNCT
ejpam-1174	75	5	f	f	NOUN
ejpam-1174	75	6	∗	∗	X
ejpam-1174	75	7	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	75	8	(	(	PUNCT
ejpam-1174	75	9	(	(	PUNCT
ejpam-1174	75	10	f	f	PROPN
ejpam-1174	75	11	∗	∗	X
ejpam-1174	75	12	g)(z)))′′](1	g)(z)))′′](1	PROPN
ejpam-1174	75	13	+	+	PROPN
ejpam-1174	75	14	βeiφ	βeiφ	NOUN
ejpam-1174	75	15	)	)	PUNCT
ejpam-1174	75	16	−βeiφ[(1−λ)(rθµ	−βeiφ[(1−λ)(rθµ	VERB
ejpam-1174	75	17	(	(	PUNCT
ejpam-1174	75	18	(	(	PUNCT
ejpam-1174	75	19	f	f	PROPN
ejpam-1174	75	20	∗	∗	NOUN
ejpam-1174	75	21	g)(z	g)(z	PUNCT
ejpam-1174	75	22	)	)	PUNCT
ejpam-1174	75	23	)	)	PUNCT
ejpam-1174	75	24	)	)	PUNCT
ejpam-1174	76	1	+	+	X
ejpam-1174	76	2	λz(rθm	λz(rθm	X
ejpam-1174	76	3	(	(	PUNCT
ejpam-1174	76	4	(	(	PUNCT
ejpam-1174	76	5	f	f	PROPN
ejpam-1174	76	6	∗	∗	NOUN
ejpam-1174	76	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	76	8	]	]	PUNCT
ejpam-1174	76	9	,	,	PUNCT
ejpam-1174	76	10	and	and	CCONJ
ejpam-1174	76	11	e(z	e(z	PROPN
ejpam-1174	76	12	)	)	PUNCT
ejpam-1174	76	13	=	=	PRON
ejpam-1174	76	14	(	(	PUNCT
ejpam-1174	76	15	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	76	16	(	(	PUNCT
ejpam-1174	76	17	(	(	PUNCT
ejpam-1174	76	18	f	f	PROPN
ejpam-1174	76	19	∗	∗	NOUN
ejpam-1174	76	20	g)(z	g)(z	PUNCT
ejpam-1174	76	21	)	)	PUNCT
ejpam-1174	76	22	)	)	PUNCT
ejpam-1174	77	1	+	+	X
ejpam-1174	77	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	77	3	(	(	PUNCT
ejpam-1174	77	4	(	(	PUNCT
ejpam-1174	77	5	f	f	NOUN
ejpam-1174	77	6	∗	∗	NOUN
ejpam-1174	77	7	g)(z)))′.	g)(z)))′.	NOUN
ejpam-1174	77	8	by	by	ADP
ejpam-1174	77	9	lemma	lemma	PROPN
ejpam-1174	77	10	2	2	NUM
ejpam-1174	77	11	,	,	PUNCT
ejpam-1174	77	12	(	(	PUNCT
ejpam-1174	77	13	6	6	NUM
ejpam-1174	77	14	)	)	PUNCT
ejpam-1174	77	15	is	be	AUX
ejpam-1174	77	16	equivalent	equivalent	ADJ
ejpam-1174	77	17	to	to	ADP
ejpam-1174	77	18	|f(z	|f(z	PROPN
ejpam-1174	77	19	)	)	PUNCT
ejpam-1174	78	1	+	+	CCONJ
ejpam-1174	78	2	(	(	PUNCT
ejpam-1174	78	3	1−α)e(z)|	1−α)e(z)|	NUM
ejpam-1174	78	4	≥	≥	NOUN
ejpam-1174	78	5	|f(z)−	|f(z)−	NOUN
ejpam-1174	78	6	(	(	PUNCT
ejpam-1174	78	7	1+α)e(z)|	1+α)e(z)|	NUM
ejpam-1174	78	8	for	for	ADP
ejpam-1174	78	9	0≤	0≤	ADJ
ejpam-1174	78	10	α	α	NOUN
ejpam-1174	78	11	<	<	X
ejpam-1174	78	12	1	1	NUM
ejpam-1174	78	13	.	.	PUNCT
ejpam-1174	78	14	but	but	CCONJ
ejpam-1174	78	15	|f(z	|f(z	ADJ
ejpam-1174	78	16	)	)	PUNCT
ejpam-1174	78	17	+	+	CCONJ
ejpam-1174	78	18	(	(	PUNCT
ejpam-1174	78	19	1−α)e(z)|	1−α)e(z)|	NUM
ejpam-1174	78	20	=	=	SYM
ejpam-1174	78	21	�	�	PROPN
ejpam-1174	78	22	�	�	PROPN
ejpam-1174	78	23	�	�	PROPN
ejpam-1174	78	24	�	�	PROPN
ejpam-1174	78	25	�	�	PROPN
ejpam-1174	78	26			VERB
ejpam-1174	78	27	z	z	ADV
ejpam-1174	78	28	−	−	PROPN
ejpam-1174	78	29	∞	∞	PROPN
ejpam-1174	78	30	∑	∑	PUNCT
ejpam-1174	78	31	n=2	n=2	ADV
ejpam-1174	78	32	k(n,µ,θ)an	k(n,µ,θ)an	NOUN
ejpam-1174	78	33	bnzn	bnzn	NOUN
ejpam-1174	78	34	−λ	−λ	PROPN
ejpam-1174	78	35	∞	∞	PROPN
ejpam-1174	78	36	∑	∑	PUNCT
ejpam-1174	78	37	n=2	n=2	PRON
ejpam-1174	78	38	n(n−	n(n−	VERB
ejpam-1174	78	39	1)k(n,µ,θ)an	1)k(n,µ,θ)an	NUM
ejpam-1174	78	40	bnzn	bnzn	NOUN
ejpam-1174	78	41			PROPN
ejpam-1174	78	42			PROPN
ejpam-1174	78	43	(	(	PUNCT
ejpam-1174	78	44	1	1	NUM
ejpam-1174	78	45	+	+	NUM
ejpam-1174	78	46	βeiφ	βeiφ	NOUN
ejpam-1174	78	47	)	)	PUNCT
ejpam-1174	79	1	−βeiφ	−βeiφ	PROPN
ejpam-1174	79	2			PROPN
ejpam-1174	79	3	(1−λ)(z	(1−λ)(z	PROPN
ejpam-1174	79	4	−	−	NUM
ejpam-1174	79	5	∞	∞	PROPN
ejpam-1174	79	6	∑	∑	PUNCT
ejpam-1174	79	7	n=2	n=2	PART
ejpam-1174	79	8	k(n,µ,θ)an	k(n,µ,θ)an	NOUN
ejpam-1174	79	9	bnzn	bnzn	NOUN
ejpam-1174	79	10	)	)	PUNCT
ejpam-1174	80	1	+	+	PUNCT
ejpam-1174	80	2	λz−λ	λz−λ	VERB
ejpam-1174	80	3	∞	∞	PROPN
ejpam-1174	80	4	∑	∑	ADP
ejpam-1174	80	5	n=2	n=2	PRON
ejpam-1174	80	6	nk(n,µ,θ)an	nk(n,µ,θ)an	PROPN
ejpam-1174	80	7	bnzn	bnzn	NOUN
ejpam-1174	80	8			PROPN
ejpam-1174	80	9			VERB
ejpam-1174	80	10	+	+	ADJ
ejpam-1174	80	11	(	(	PUNCT
ejpam-1174	80	12	1−α	1−α	NUM
ejpam-1174	80	13	)	)	PUNCT
ejpam-1174	80	14			VERB
ejpam-1174	80	15	z	z	NOUN
ejpam-1174	80	16	−	−	PROPN
ejpam-1174	80	17	∞	∞	PROPN
ejpam-1174	80	18	∑	∑	PROPN
ejpam-1174	80	19	n=2	n=2	X
ejpam-1174	80	20	(	(	PUNCT
ejpam-1174	80	21	1−λ+	1−λ+	NUM
ejpam-1174	80	22	nλ)k(n,µ,θ)anbnzn	nλ)k(n,µ,θ)anbnzn	PUNCT
ejpam-1174	80	23			PROPN
ejpam-1174	80	24			PROPN
ejpam-1174	80	25	�	�	PROPN
ejpam-1174	80	26	�	�	PROPN
ejpam-1174	80	27	�	�	PROPN
ejpam-1174	80	28	�	�	PROPN
ejpam-1174	80	29	�	�	PROPN
ejpam-1174	80	30	=	=	SYM
ejpam-1174	80	31	�	�	PROPN
ejpam-1174	80	32	�	�	PROPN
ejpam-1174	80	33	�	�	PROPN
ejpam-1174	80	34	�	�	PROPN
ejpam-1174	80	35	�	�	PROPN
ejpam-1174	80	36	(	(	PUNCT
ejpam-1174	80	37	2−α)z	2−α)z	NUM
ejpam-1174	80	38	−	−	NUM
ejpam-1174	80	39	∞	∞	NUM
ejpam-1174	80	40	∑	∑	PROPN
ejpam-1174	80	41	n=2	n=2	PRON
ejpam-1174	80	42	[	[	X
ejpam-1174	80	43	(	(	PUNCT
ejpam-1174	80	44	n+λn(n−	n+λn(n−	PROPN
ejpam-1174	80	45	1))+	1))+	NUM
ejpam-1174	80	46	(	(	PUNCT
ejpam-1174	80	47	1−α)(1−λ+	1−α)(1−λ+	NUM
ejpam-1174	80	48	nλ)]k(n,µ,θ)anbnzn	nλ)]k(n,µ,θ)anbnzn	ADP
ejpam-1174	80	49	−βeiφ	−βeiφ	NUM
ejpam-1174	80	50	∞	∞	PROPN
ejpam-1174	80	51	∑	∑	PUNCT
ejpam-1174	80	52	n=2	n=2	X
ejpam-1174	80	53	[	[	X
ejpam-1174	80	54	n+λn(n−	n+λn(n−	PROPN
ejpam-1174	80	55	1)−	1)−	PROPN
ejpam-1174	80	56	(	(	PUNCT
ejpam-1174	80	57	1−λ+	1−λ+	NUM
ejpam-1174	80	58	nλ)]k(n,µ,θ)anbnzn	nλ)]k(n,µ,θ)anbnzn	ADP
ejpam-1174	80	59	�	�	PROPN
ejpam-1174	80	60	�	�	PROPN
ejpam-1174	80	61	�	�	PROPN
ejpam-1174	80	62	�	�	PROPN
ejpam-1174	80	63	�	�	PROPN
ejpam-1174	80	64	≥	≥	NUM
ejpam-1174	80	65	(	(	PUNCT
ejpam-1174	80	66	2−α)|z|	2−α)|z|	NOUN
ejpam-1174	80	67	−	−	NOUN
ejpam-1174	80	68	∞	∞	NUM
ejpam-1174	80	69	∑	∑	PROPN
ejpam-1174	80	70	n=2	n=2	PRON
ejpam-1174	80	71	[	[	X
ejpam-1174	80	72	(	(	PUNCT
ejpam-1174	80	73	n+λn(n−	n+λn(n−	ADJ
ejpam-1174	80	74	1	1	NUM
ejpam-1174	80	75	)	)	PUNCT
ejpam-1174	80	76	)	)	PUNCT
ejpam-1174	81	1	+	+	CCONJ
ejpam-1174	81	2	(	(	PUNCT
ejpam-1174	81	3	1−α)(1−λ+λn)]k(n,µ,θ)an	1−α)(1−λ+λn)]k(n,µ,θ)an	NUM
ejpam-1174	81	4	bn|z|	bn|z|	NOUN
ejpam-1174	81	5	n	n	PROPN
ejpam-1174	81	6	−β	−β	NOUN
ejpam-1174	81	7	∞	∞	PROPN
ejpam-1174	81	8	∑	∑	PUNCT
ejpam-1174	81	9	n=2	n=2	X
ejpam-1174	82	1	[	[	X
ejpam-1174	82	2	n+λn(n−	n+λn(n−	PROPN
ejpam-1174	82	3	2)−	2)−	NUM
ejpam-1174	82	4	1+λ]k(n,µ,θ)an	1+λ]k(n,µ,θ)an	NUM
ejpam-1174	82	5	bn|z|	bn|z|	NOUN
ejpam-1174	82	6	n.	n.	VERB
ejpam-1174	82	7	also	also	ADV
ejpam-1174	82	8	|f(z)−	|f(z)−	NUM
ejpam-1174	82	9	(	(	PUNCT
ejpam-1174	82	10	1+α)e(z)|	1+α)e(z)|	NUM
ejpam-1174	82	11	=	=	SYM
ejpam-1174	82	12	�	�	PROPN
ejpam-1174	82	13	�	�	PROPN
ejpam-1174	82	14	�	�	PROPN
ejpam-1174	82	15	�	�	PROPN
ejpam-1174	82	16	�	�	PROPN
ejpam-1174	82	17			VERB
ejpam-1174	82	18	z	z	ADV
ejpam-1174	82	19	−	−	PROPN
ejpam-1174	82	20	∞	∞	PROPN
ejpam-1174	82	21	∑	∑	PUNCT
ejpam-1174	82	22	n=2	n=2	PRON
ejpam-1174	82	23	nk(n,µ,θ)an	nk(n,µ,θ)an	PROPN
ejpam-1174	82	24	bnzn	bnzn	NOUN
ejpam-1174	82	25	−λ	−λ	PROPN
ejpam-1174	82	26	∞	∞	PROPN
ejpam-1174	82	27	∑	∑	PUNCT
ejpam-1174	82	28	n=2	n=2	PRON
ejpam-1174	82	29	n(n−	n(n−	VERB
ejpam-1174	82	30	1)k(n,µ,θ)anbnzn	1)k(n,µ,θ)anbnzn	NUM
ejpam-1174	82	31			PROPN
ejpam-1174	82	32			VERB
ejpam-1174	82	33	(	(	PUNCT
ejpam-1174	82	34	1	1	NUM
ejpam-1174	82	35	+	+	NUM
ejpam-1174	82	36	βeiφ	βeiφ	NOUN
ejpam-1174	82	37	)	)	PUNCT
ejpam-1174	82	38	w.	w.	PROPN
ejpam-1174	82	39	atshan	atshan	PROPN
ejpam-1174	82	40	,	,	PUNCT
ejpam-1174	82	41	r.	r.	PROPN
ejpam-1174	82	42	buti	buti	PROPN
ejpam-1174	82	43	/	/	SYM
ejpam-1174	82	44	eur	eur	PROPN
ejpam-1174	82	45	.	.	PUNCT
ejpam-1174	83	1	j.	j.	PROPN
ejpam-1174	83	2	pure	pure	PROPN
ejpam-1174	83	3	appl	appl	PROPN
ejpam-1174	83	4	.	.	PROPN
ejpam-1174	83	5	math	math	PROPN
ejpam-1174	83	6	,	,	PUNCT
ejpam-1174	83	7	4	4	NUM
ejpam-1174	83	8	(	(	PUNCT
ejpam-1174	83	9	2011	2011	NUM
ejpam-1174	83	10	)	)	PUNCT
ejpam-1174	83	11	,	,	PUNCT
ejpam-1174	83	12	162	162	NUM
ejpam-1174	83	13	-	-	SYM
ejpam-1174	83	14	173	173	NUM
ejpam-1174	83	15	166	166	NUM
ejpam-1174	83	16	−βeiφ	−βeiφ	NOUN
ejpam-1174	83	17			PROPN
ejpam-1174	83	18	z	z	ADV
ejpam-1174	83	19	−	−	PROPN
ejpam-1174	83	20	(	(	PUNCT
ejpam-1174	83	21	1−λ	1−λ	NUM
ejpam-1174	83	22	)	)	PUNCT
ejpam-1174	83	23	∞	∞	NOUN
ejpam-1174	83	24	∑	∑	PUNCT
ejpam-1174	83	25	n=2	n=2	PRON
ejpam-1174	83	26	k(n,µ,θ)an	k(n,µ,θ)an	NOUN
ejpam-1174	83	27	bnzn	bnzn	NOUN
ejpam-1174	83	28	−λ	−λ	PROPN
ejpam-1174	83	29	∞	∞	PROPN
ejpam-1174	83	30	∑	∑	PUNCT
ejpam-1174	83	31	n=2	n=2	PRON
ejpam-1174	83	32	nk(n,µ,θ)an	nk(n,µ,θ)an	PROPN
ejpam-1174	83	33	bnzn	bnzn	NOUN
ejpam-1174	83	34			PROPN
ejpam-1174	83	35			PROPN
ejpam-1174	83	36	−(1+α	−(1+α	PROPN
ejpam-1174	83	37	)	)	PUNCT
ejpam-1174	83	38			VERB
ejpam-1174	83	39	z	z	ADV
ejpam-1174	83	40	−	−	PROPN
ejpam-1174	83	41	∞	∞	PROPN
ejpam-1174	83	42	∑	∑	PROPN
ejpam-1174	83	43	n=2	n=2	X
ejpam-1174	83	44	(	(	PUNCT
ejpam-1174	83	45	1−λ+	1−λ+	NUM
ejpam-1174	83	46	nλ)k(n,µ,θ)an	nλ)k(n,µ,θ)an	ADV
ejpam-1174	83	47	bnzn	bnzn	NOUN
ejpam-1174	83	48			PROPN
ejpam-1174	83	49			PROPN
ejpam-1174	83	50	�	�	PROPN
ejpam-1174	83	51	�	�	PROPN
ejpam-1174	83	52	�	�	PROPN
ejpam-1174	83	53	�	�	PROPN
ejpam-1174	83	54	�	�	PROPN
ejpam-1174	83	55	=	=	SYM
ejpam-1174	83	56	�	�	PROPN
ejpam-1174	83	57	�	�	PROPN
ejpam-1174	83	58	�	�	PROPN
ejpam-1174	83	59	�	�	PROPN
ejpam-1174	83	60	�	�	PROPN
ejpam-1174	83	61	−az	−az	PROPN
ejpam-1174	83	62	−	−	PROPN
ejpam-1174	83	63	∞	∞	PROPN
ejpam-1174	83	64	∑	∑	PROPN
ejpam-1174	83	65	n=2	n=2	PRON
ejpam-1174	83	66	[	[	X
ejpam-1174	83	67	(	(	PUNCT
ejpam-1174	83	68	n+λn(n−	n+λn(n−	PROPN
ejpam-1174	83	69	1))−	1))−	NUM
ejpam-1174	83	70	(	(	PUNCT
ejpam-1174	83	71	1+α)(1−λ+	1+α)(1−λ+	NUM
ejpam-1174	83	72	nλ)]k(n,µ,θ)anbnzn	nλ)]k(n,µ,θ)anbnzn	ADP
ejpam-1174	83	73	−βeiφ	−βeiφ	NUM
ejpam-1174	83	74	∞	∞	PROPN
ejpam-1174	83	75	∑	∑	PUNCT
ejpam-1174	83	76	n=2	n=2	X
ejpam-1174	83	77	[	[	NOUN
ejpam-1174	83	78	n+	n+	PRON
ejpam-1174	83	79	nλ(n−	nλ(n−	PROPN
ejpam-1174	83	80	1)−	1)−	PROPN
ejpam-1174	83	81	(	(	PUNCT
ejpam-1174	83	82	1−λ+	1−λ+	NUM
ejpam-1174	83	83	nλ)]k(n,µ,θ)an	nλ)]k(n,µ,θ)an	PROPN
ejpam-1174	83	84	bnzn	bnzn	PROPN
ejpam-1174	83	85	�	�	PROPN
ejpam-1174	83	86	�	�	PROPN
ejpam-1174	83	87	�	�	PROPN
ejpam-1174	83	88	�	�	PROPN
ejpam-1174	83	89	�	�	PROPN
ejpam-1174	83	90	≤	≤	PROPN
ejpam-1174	83	91	α|z|+	α|z|+	PROPN
ejpam-1174	83	92	∞	∞	PROPN
ejpam-1174	83	93	∑	∑	PUNCT
ejpam-1174	83	94	n=2	n=2	PRON
ejpam-1174	83	95	[	[	X
ejpam-1174	83	96	(	(	PUNCT
ejpam-1174	83	97	n+	n+	NUM
ejpam-1174	83	98	nλ(n−	nλ(n−	ADP
ejpam-1174	83	99	1))−	1))−	NUM
ejpam-1174	83	100	(	(	PUNCT
ejpam-1174	83	101	1+α)(1−λ+	1+α)(1−λ+	NUM
ejpam-1174	83	102	nλ)]k(n,µ,θ)anbn|z|	nλ)]k(n,µ,θ)anbn|z|	NOUN
ejpam-1174	83	103	n	n	PROPN
ejpam-1174	83	104	+	+	NOUN
ejpam-1174	83	105	β	β	X
ejpam-1174	83	106	∞	∞	NUM
ejpam-1174	83	107	∑	∑	SYM
ejpam-1174	83	108	n=2	n=2	X
ejpam-1174	83	109	[	[	NOUN
ejpam-1174	83	110	n+	n+	PRON
ejpam-1174	83	111	nλ(n−	nλ(n−	PROPN
ejpam-1174	83	112	1)−	1)−	PROPN
ejpam-1174	83	113	(	(	PUNCT
ejpam-1174	83	114	1−λ+	1−λ+	NUM
ejpam-1174	83	115	nλ)]k(n,µ,θ)an	nλ)]k(n,µ,θ)an	PROPN
ejpam-1174	83	116	bn|z|	bn|z|	VERB
ejpam-1174	83	117	n	n	PRON
ejpam-1174	83	118	and	and	CCONJ
ejpam-1174	83	119	so	so	ADV
ejpam-1174	83	120	|f(z	|f(z	ADJ
ejpam-1174	83	121	)	)	PUNCT
ejpam-1174	84	1	+	+	CCONJ
ejpam-1174	84	2	(	(	PUNCT
ejpam-1174	84	3	1−α)e(z)|	1−α)e(z)|	NUM
ejpam-1174	84	4	−	−	NOUN
ejpam-1174	84	5	|f(z)−	|f(z)−	NUM
ejpam-1174	84	6	(	(	PUNCT
ejpam-1174	84	7	1+α)e(z)|	1+α)e(z)|	NUM
ejpam-1174	84	8	≥	≥	NUM
ejpam-1174	84	9	2(1−α)|z|	2(1−α)|z|	NUM
ejpam-1174	84	10	−	−	NOUN
ejpam-1174	84	11	∞	∞	NUM
ejpam-1174	84	12	∑	∑	PROPN
ejpam-1174	84	13	n=2	n=2	PRON
ejpam-1174	84	14	[	[	X
ejpam-1174	84	15	(	(	PUNCT
ejpam-1174	84	16	2n+	2n+	NUM
ejpam-1174	84	17	2nλ(n−	2nλ(n−	NUM
ejpam-1174	84	18	1))−	1))−	NUM
ejpam-1174	84	19	2α(1−λ+	2α(1−λ+	NUM
ejpam-1174	84	20	nλ)−	nλ)−	ADP
ejpam-1174	84	21	β(2n+	β(2n+	NOUN
ejpam-1174	84	22	2nλ(n−	2nλ(n−	NUM
ejpam-1174	84	23	1	1	NUM
ejpam-1174	84	24	)	)	PUNCT
ejpam-1174	84	25	−2(1−λ+	−2(1−λ+	PROPN
ejpam-1174	84	26	nλ))]k(n,µ,θ)an	nλ))]k(n,µ,θ)an	PROPN
ejpam-1174	84	27	bn|z|	bn|z|	VERB
ejpam-1174	84	28	n	n	PRON
ejpam-1174	84	29	≥	≥	NOUN
ejpam-1174	84	30	0	0	NUM
ejpam-1174	84	31	or	or	CCONJ
ejpam-1174	84	32	∞	∞	NUM
ejpam-1174	84	33	∑	∑	PUNCT
ejpam-1174	84	34	n=2	n=2	PRON
ejpam-1174	84	35	[	[	X
ejpam-1174	84	36	n(1	n(1	NOUN
ejpam-1174	84	37	+	+	NOUN
ejpam-1174	84	38	β	β	NOUN
ejpam-1174	84	39	)	)	PUNCT
ejpam-1174	85	1	+	+	CCONJ
ejpam-1174	85	2	nλ(n−	nλ(n−	PROPN
ejpam-1174	85	3	1)(1+β)−	1)(1+β)−	NUM
ejpam-1174	85	4	(	(	PUNCT
ejpam-1174	85	5	1−λ+	1−λ+	NUM
ejpam-1174	85	6	nλ)(α+	nλ)(α+	PROPN
ejpam-1174	85	7	β)]k(n,µ,θ)an	β)]k(n,µ,θ)an	PROPN
ejpam-1174	85	8	bn	bn	ADJ
ejpam-1174	85	9	≤	≤	NOUN
ejpam-1174	85	10	1−α	1−α	NUM
ejpam-1174	85	11	.	.	PUNCT
ejpam-1174	86	1	this	this	PRON
ejpam-1174	86	2	is	be	AUX
ejpam-1174	86	3	equivalent	equivalent	ADJ
ejpam-1174	86	4	to	to	ADP
ejpam-1174	86	5	∞	∞	PROPN
ejpam-1174	86	6	∑	∑	X
ejpam-1174	86	7	n=2	n=2	X
ejpam-1174	86	8	(	(	PUNCT
ejpam-1174	86	9	1−λ+	1−λ+	NUM
ejpam-1174	86	10	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	86	11	+	+	PROPN
ejpam-1174	86	12	β)−	β)−	PROPN
ejpam-1174	86	13	(	(	PUNCT
ejpam-1174	86	14	β	β	X
ejpam-1174	86	15	+	+	NOUN
ejpam-1174	86	16	α)]k(n,µ,θ)an	α)]k(n,µ,θ)an	PROPN
ejpam-1174	86	17	bn	bn	NOUN
ejpam-1174	86	18	≤	≤	NUM
ejpam-1174	86	19	1−α	1−α	NUM
ejpam-1174	86	20	.	.	PUNCT
ejpam-1174	87	1	conversely	conversely	ADV
ejpam-1174	87	2	,	,	PUNCT
ejpam-1174	87	3	suppose	suppose	VERB
ejpam-1174	87	4	that	that	SCONJ
ejpam-1174	87	5	(	(	PUNCT
ejpam-1174	87	6	5	5	X
ejpam-1174	87	7	)	)	PUNCT
ejpam-1174	87	8	holds	hold	VERB
ejpam-1174	87	9	.	.	PUNCT
ejpam-1174	88	1	then	then	ADV
ejpam-1174	88	2	we	we	PRON
ejpam-1174	88	3	must	must	AUX
ejpam-1174	88	4	show	show	VERB
ejpam-1174	88	5	re	re	ADP
ejpam-1174	88	6	(	(	PUNCT
ejpam-1174	88	7	(	(	PUNCT
ejpam-1174	88	8	z(rθµ	z(rθµ	X
ejpam-1174	88	9	(	(	PUNCT
ejpam-1174	88	10	(	(	PUNCT
ejpam-1174	88	11	f	f	NOUN
ejpam-1174	88	12	∗	∗	X
ejpam-1174	88	13	g)(z)))′+λz2(rθµ	g)(z)))′+λz2(rθµ	PROPN
ejpam-1174	88	14	(	(	PUNCT
ejpam-1174	88	15	(	(	PUNCT
ejpam-1174	88	16	f	f	PROPN
ejpam-1174	88	17	∗	∗	NOUN
ejpam-1174	88	18	g)(z)))′′)(1	g)(z)))′′)(1	NOUN
ejpam-1174	88	19	+	+	CCONJ
ejpam-1174	88	20	βeiφ	βeiφ	NOUN
ejpam-1174	88	21	)	)	PUNCT
ejpam-1174	88	22	(	(	PUNCT
ejpam-1174	88	23	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	88	24	(	(	PUNCT
ejpam-1174	88	25	(	(	PUNCT
ejpam-1174	88	26	f	f	PROPN
ejpam-1174	88	27	∗	∗	NOUN
ejpam-1174	88	28	g)(z	g)(z	PUNCT
ejpam-1174	88	29	)	)	PUNCT
ejpam-1174	88	30	)	)	PUNCT
ejpam-1174	89	1	+	+	X
ejpam-1174	89	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	89	3	(	(	PUNCT
ejpam-1174	89	4	(	(	PUNCT
ejpam-1174	89	5	f	f	PROPN
ejpam-1174	89	6	∗	∗	X
ejpam-1174	89	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	89	8	−	−	PROPN
ejpam-1174	89	9	βeiφ((1−λ)(rθµ	βeiφ((1−λ)(rθµ	PROPN
ejpam-1174	89	10	(	(	PUNCT
ejpam-1174	89	11	(	(	PUNCT
ejpam-1174	89	12	f	f	PROPN
ejpam-1174	89	13	∗	∗	NOUN
ejpam-1174	89	14	g)(z	g)(z	PUNCT
ejpam-1174	89	15	)	)	PUNCT
ejpam-1174	89	16	)	)	PUNCT
ejpam-1174	90	1	+	+	X
ejpam-1174	90	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	90	3	(	(	PUNCT
ejpam-1174	90	4	(	(	PUNCT
ejpam-1174	90	5	f	f	PROPN
ejpam-1174	90	6	∗	∗	NOUN
ejpam-1174	90	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	90	8	)	)	PUNCT
ejpam-1174	90	9	)	)	PUNCT
ejpam-1174	90	10	(	(	PUNCT
ejpam-1174	90	11	1−λ)rθµ	1−λ)rθµ	NUM
ejpam-1174	90	12	(	(	PUNCT
ejpam-1174	90	13	(	(	PUNCT
ejpam-1174	90	14	f	f	PROPN
ejpam-1174	90	15	∗	∗	NOUN
ejpam-1174	90	16	g)(z	g)(z	PUNCT
ejpam-1174	90	17	)	)	PUNCT
ejpam-1174	90	18	)	)	PUNCT
ejpam-1174	91	1	+	+	X
ejpam-1174	91	2	λz(rθµ	λz(rθµ	PROPN
ejpam-1174	91	3	(	(	PUNCT
ejpam-1174	91	4	(	(	PUNCT
ejpam-1174	91	5	f	f	PROPN
ejpam-1174	91	6	∗	∗	X
ejpam-1174	91	7	g)(z)))′	g)(z)))′	PROPN
ejpam-1174	91	8	)	)	PUNCT
ejpam-1174	91	9	≥	≥	PROPN
ejpam-1174	91	10	α	α	X
ejpam-1174	91	11	.	.	PUNCT
ejpam-1174	92	1	w.	w.	PROPN
ejpam-1174	92	2	atshan	atshan	PROPN
ejpam-1174	92	3	,	,	PUNCT
ejpam-1174	92	4	r.	r.	PROPN
ejpam-1174	92	5	buti	buti	PROPN
ejpam-1174	92	6	/	/	SYM
ejpam-1174	92	7	eur	eur	PROPN
ejpam-1174	92	8	.	.	PUNCT
ejpam-1174	93	1	j.	j.	PROPN
ejpam-1174	93	2	pure	pure	PROPN
ejpam-1174	93	3	appl	appl	PROPN
ejpam-1174	93	4	.	.	PROPN
ejpam-1174	93	5	math	math	PROPN
ejpam-1174	93	6	,	,	PUNCT
ejpam-1174	93	7	4	4	NUM
ejpam-1174	93	8	(	(	PUNCT
ejpam-1174	93	9	2011	2011	NUM
ejpam-1174	93	10	)	)	PUNCT
ejpam-1174	93	11	,	,	PUNCT
ejpam-1174	93	12	162	162	NUM
ejpam-1174	93	13	-	-	SYM
ejpam-1174	93	14	173	173	NUM
ejpam-1174	93	15	167	167	NUM
ejpam-1174	93	16	upon	upon	SCONJ
ejpam-1174	93	17	choosing	choose	VERB
ejpam-1174	93	18	the	the	DET
ejpam-1174	93	19	values	value	NOUN
ejpam-1174	93	20	of	of	ADP
ejpam-1174	93	21	z	z	NOUN
ejpam-1174	93	22	on	on	ADP
ejpam-1174	93	23	the	the	DET
ejpam-1174	93	24	positive	positive	ADJ
ejpam-1174	93	25	real	real	ADJ
ejpam-1174	93	26	axis	axis	NOUN
ejpam-1174	93	27	where	where	SCONJ
ejpam-1174	93	28	0	0	NUM
ejpam-1174	93	29	≤	≤	NOUN
ejpam-1174	93	30	z	z	NOUN
ejpam-1174	94	1	=	=	PUNCT
ejpam-1174	94	2	r	r	NOUN
ejpam-1174	94	3	<	<	X
ejpam-1174	94	4	1	1	NUM
ejpam-1174	94	5	,	,	PUNCT
ejpam-1174	94	6	the	the	DET
ejpam-1174	94	7	above	above	ADJ
ejpam-1174	94	8	inequality	inequality	NOUN
ejpam-1174	94	9	reduces	reduce	VERB
ejpam-1174	94	10	to	to	PART
ejpam-1174	94	11	re	re	VERB
ejpam-1174	94	12			PROPN
ejpam-1174	94	13			VERB
ejpam-1174	94	14			PRON
ejpam-1174	94	15			ADJ
ejpam-1174	94	16			PROPN
ejpam-1174	94	17	(	(	PUNCT
ejpam-1174	94	18	1−α)−	1−α)−	NUM
ejpam-1174	94	19	∞	∞	PROPN
ejpam-1174	94	20	∑	∑	PUNCT
ejpam-1174	94	21	n=2	n=2	X
ejpam-1174	94	22	[	[	X
ejpam-1174	94	23	n(1	n(1	NOUN
ejpam-1174	94	24	+	+	NOUN
ejpam-1174	94	25	βeiφ)(1−λ+λn)−	βeiφ)(1−λ+λn)−	PUNCT
ejpam-1174	94	26	(	(	PUNCT
ejpam-1174	94	27	α+	α+	X
ejpam-1174	94	28	βeiφ)(1−λ+	βeiφ)(1−λ+	X
ejpam-1174	94	29	nλ)]k(n,µ,θ)an	nλ)]k(n,µ,θ)an	PROPN
ejpam-1174	94	30	bnrn−1	bnrn−1	PROPN
ejpam-1174	94	31	1−	1−	NUM
ejpam-1174	94	32	∞	∞	NUM
ejpam-1174	94	33	∑	∑	PUNCT
ejpam-1174	94	34	n=2	n=2	X
ejpam-1174	94	35	(	(	PUNCT
ejpam-1174	94	36	1−λ+	1−λ+	NUM
ejpam-1174	94	37	nλ)k(n,µ,θ)an	nλ)k(n,µ,θ)an	NOUN
ejpam-1174	94	38	bnrn−1	bnrn−1	PROPN
ejpam-1174	94	39			PROPN
ejpam-1174	94	40			PROPN
ejpam-1174	95	1			PROPN
ejpam-1174	95	2			ADJ
ejpam-1174	95	3			NOUN
ejpam-1174	95	4	≥	≥	NOUN
ejpam-1174	95	5	0	0	NUM
ejpam-1174	95	6	.	.	PUNCT
ejpam-1174	96	1	since	since	SCONJ
ejpam-1174	96	2	re(−eiφ)≥	re(−eiφ)≥	VERB
ejpam-1174	96	3	−|eiφ	−|eiφ	PUNCT
ejpam-1174	96	4	|	|	NOUN
ejpam-1174	96	5	=	=	SYM
ejpam-1174	96	6	−1	−1	NOUN
ejpam-1174	96	7	,	,	PUNCT
ejpam-1174	96	8	the	the	DET
ejpam-1174	96	9	above	above	ADJ
ejpam-1174	96	10	inequality	inequality	NOUN
ejpam-1174	96	11	reduces	reduce	VERB
ejpam-1174	96	12	to	to	PART
ejpam-1174	96	13	re	re	VERB
ejpam-1174	96	14			PROPN
ejpam-1174	96	15			VERB
ejpam-1174	96	16			PRON
ejpam-1174	96	17			ADJ
ejpam-1174	96	18			PROPN
ejpam-1174	96	19	(	(	PUNCT
ejpam-1174	96	20	1−α)−	1−α)−	NUM
ejpam-1174	96	21	∞	∞	PROPN
ejpam-1174	96	22	∑	∑	PUNCT
ejpam-1174	96	23	n=2	n=2	X
ejpam-1174	97	1	[	[	X
ejpam-1174	97	2	n(1	n(1	NOUN
ejpam-1174	97	3	+	+	NOUN
ejpam-1174	97	4	β)(1−λ+λn)−	β)(1−λ+λn)−	X
ejpam-1174	97	5	(	(	PUNCT
ejpam-1174	97	6	α+	α+	X
ejpam-1174	97	7	β)(1−λ+	β)(1−λ+	X
ejpam-1174	97	8	nλ)]k(n,µ,θ)anbnrn−1	nλ)]k(n,µ,θ)anbnrn−1	PROPN
ejpam-1174	97	9	1−	1−	NUM
ejpam-1174	97	10	∞	∞	NUM
ejpam-1174	97	11	∑	∑	PUNCT
ejpam-1174	97	12	n=2	n=2	X
ejpam-1174	97	13	(	(	PUNCT
ejpam-1174	97	14	1−λ+	1−λ+	NUM
ejpam-1174	97	15	nλ)k(n,µ,θ)anbnrn−1	nλ)k(n,µ,θ)anbnrn−1	PROPN
ejpam-1174	97	16			PROPN
ejpam-1174	97	17			PROPN
ejpam-1174	97	18			PROPN
ejpam-1174	97	19			ADJ
ejpam-1174	97	20			NOUN
ejpam-1174	97	21	≥	≥	NOUN
ejpam-1174	97	22	0	0	NUM
ejpam-1174	97	23	.	.	PUNCT
ejpam-1174	98	1	letting	let	VERB
ejpam-1174	98	2	r	r	NOUN
ejpam-1174	98	3	→	→	SYM
ejpam-1174	98	4	1−	1−	NUM
ejpam-1174	98	5	,	,	PUNCT
ejpam-1174	98	6	we	we	PRON
ejpam-1174	98	7	get	get	AUX
ejpam-1174	98	8	desired	desire	VERB
ejpam-1174	98	9	conclusion	conclusion	NOUN
ejpam-1174	98	10	.	.	PUNCT
ejpam-1174	99	1	corollary	corollary	ADJ
ejpam-1174	99	2	1	1	NUM
ejpam-1174	99	3	.	.	PUNCT
ejpam-1174	100	1	let	let	VERB
ejpam-1174	100	2	f	f	PROPN
ejpam-1174	100	3	(	(	PUNCT
ejpam-1174	100	4	z	z	NOUN
ejpam-1174	100	5	)	)	PUNCT
ejpam-1174	100	6	∈wr(λ	∈wr(λ	PROPN
ejpam-1174	100	7	,	,	PUNCT
ejpam-1174	100	8	β	β	X
ejpam-1174	100	9	,	,	PUNCT
ejpam-1174	100	10	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	100	11	)	)	PUNCT
ejpam-1174	100	12	.	.	PUNCT
ejpam-1174	101	1	then	then	ADV
ejpam-1174	101	2	an	an	DET
ejpam-1174	101	3	≤	≤	ADJ
ejpam-1174	101	4	1−α	1−α	NUM
ejpam-1174	101	5	(	(	PUNCT
ejpam-1174	101	6	1−λ+	1−λ+	NUM
ejpam-1174	101	7	nλ)(n(1	nλ)(n(1	X
ejpam-1174	101	8	+	+	X
ejpam-1174	101	9	β)−	β)−	PROPN
ejpam-1174	101	10	(	(	PUNCT
ejpam-1174	101	11	β	β	X
ejpam-1174	101	12	+	+	NOUN
ejpam-1174	101	13	α))k(n,µ,θ)bn	α))k(n,µ,θ)bn	PROPN
ejpam-1174	101	14	,	,	PUNCT
ejpam-1174	101	15	where	where	SCONJ
ejpam-1174	101	16	0≤	0≤	ADP
ejpam-1174	101	17	α	α	NOUN
ejpam-1174	101	18	<	<	X
ejpam-1174	101	19	1	1	NUM
ejpam-1174	101	20	,	,	PUNCT
ejpam-1174	101	21	β	β	X
ejpam-1174	101	22	≥	≥	NOUN
ejpam-1174	101	23	0	0	NUM
ejpam-1174	101	24	,	,	PUNCT
ejpam-1174	101	25	0≤	0≤	NUM
ejpam-1174	101	26	λ≤	λ≤	VERB
ejpam-1174	101	27	1	1	NUM
ejpam-1174	101	28	,	,	PUNCT
ejpam-1174	101	29	0≤	0≤	NUM
ejpam-1174	101	30	µ	µ	X
ejpam-1174	101	31	<	<	X
ejpam-1174	101	32	1	1	NUM
ejpam-1174	101	33	,	,	PUNCT
ejpam-1174	101	34	0≤	0≤	NUM
ejpam-1174	101	35	θ	θ	NOUN
ejpam-1174	101	36	≤	≤	NUM
ejpam-1174	101	37	1	1	NUM
ejpam-1174	101	38	.	.	PUNCT
ejpam-1174	101	39	theorem	theorem	NOUN
ejpam-1174	101	40	2	2	NUM
ejpam-1174	101	41	.	.	PUNCT
ejpam-1174	102	1	let	let	VERB
ejpam-1174	102	2	f1(z	f1(z	VERB
ejpam-1174	102	3	)	)	PUNCT
ejpam-1174	102	4	=	=	SYM
ejpam-1174	102	5	z	z	NOUN
ejpam-1174	102	6	and	and	CCONJ
ejpam-1174	102	7	fn(z	fn(z	NUM
ejpam-1174	102	8	)	)	PUNCT
ejpam-1174	103	1	=	=	SYM
ejpam-1174	103	2	z	z	NOUN
ejpam-1174	104	1	−	−	PROPN
ejpam-1174	104	2	1−α	1−α	NUM
ejpam-1174	104	3	(	(	PUNCT
ejpam-1174	104	4	1−λ+	1−λ+	NUM
ejpam-1174	104	5	nλ)(n(1	nλ)(n(1	X
ejpam-1174	104	6	+	+	X
ejpam-1174	104	7	β)−	β)−	PROPN
ejpam-1174	104	8	(	(	PUNCT
ejpam-1174	104	9	β	β	X
ejpam-1174	104	10	+	+	NOUN
ejpam-1174	104	11	α))k(n,µ,θ)bn	α))k(n,µ,θ)bn	X
ejpam-1174	104	12	zn	zn	PROPN
ejpam-1174	104	13	,	,	PUNCT
ejpam-1174	104	14	where	where	SCONJ
ejpam-1174	104	15	n≥	n≥	PROPN
ejpam-1174	104	16	2	2	NUM
ejpam-1174	104	17	,	,	PUNCT
ejpam-1174	104	18	n	n	PRON
ejpam-1174	104	19	∈	∈	NOUN
ejpam-1174	104	20	in	in	ADV
ejpam-1174	104	21	,	,	PUNCT
ejpam-1174	104	22	0≤	0≤	NUM
ejpam-1174	104	23	α	α	NOUN
ejpam-1174	104	24	<	<	X
ejpam-1174	104	25	1	1	NUM
ejpam-1174	104	26	,	,	PUNCT
ejpam-1174	104	27	β	β	X
ejpam-1174	104	28	≥	≥	NOUN
ejpam-1174	104	29	0	0	NUM
ejpam-1174	104	30	,	,	PUNCT
ejpam-1174	104	31	0≤	0≤	NUM
ejpam-1174	104	32	λ≤	λ≤	VERB
ejpam-1174	104	33	1	1	NUM
ejpam-1174	104	34	,	,	PUNCT
ejpam-1174	104	35	0≤	0≤	NUM
ejpam-1174	104	36	µ	µ	X
ejpam-1174	104	37	<	<	X
ejpam-1174	104	38	1	1	NUM
ejpam-1174	104	39	and	and	CCONJ
ejpam-1174	104	40	0≤	0≤	NUM
ejpam-1174	104	41	θ	θ	NOUN
ejpam-1174	104	42	≤	≤	NUM
ejpam-1174	104	43	1	1	NUM
ejpam-1174	104	44	.	.	PUNCT
ejpam-1174	105	1	then	then	ADV
ejpam-1174	105	2	f	f	X
ejpam-1174	105	3	(	(	PUNCT
ejpam-1174	105	4	z	z	NOUN
ejpam-1174	105	5	)	)	PUNCT
ejpam-1174	105	6	is	be	AUX
ejpam-1174	105	7	in	in	ADP
ejpam-1174	105	8	the	the	DET
ejpam-1174	105	9	class	class	NOUN
ejpam-1174	105	10	wr(λ	wr(λ	ADP
ejpam-1174	105	11	,	,	PUNCT
ejpam-1174	105	12	β	β	X
ejpam-1174	105	13	,	,	PUNCT
ejpam-1174	105	14	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	105	15	)	)	PUNCT
ejpam-1174	106	1	if	if	SCONJ
ejpam-1174	106	2	and	and	CCONJ
ejpam-1174	106	3	only	only	ADV
ejpam-1174	106	4	if	if	SCONJ
ejpam-1174	106	5	it	it	PRON
ejpam-1174	106	6	can	can	AUX
ejpam-1174	106	7	be	be	AUX
ejpam-1174	106	8	expressed	express	VERB
ejpam-1174	106	9	in	in	ADP
ejpam-1174	106	10	the	the	DET
ejpam-1174	106	11	form	form	NOUN
ejpam-1174	106	12	f	f	X
ejpam-1174	106	13	(	(	PUNCT
ejpam-1174	106	14	z	z	NOUN
ejpam-1174	106	15	)	)	PUNCT
ejpam-1174	106	16	=	=	SYM
ejpam-1174	107	1	∞	∞	NUM
ejpam-1174	107	2	∑	∑	PUNCT
ejpam-1174	107	3	n=1	n=1	PROPN
ejpam-1174	107	4	σn	σn	NOUN
ejpam-1174	107	5	fn(z	fn(z	NUM
ejpam-1174	107	6	)	)	PUNCT
ejpam-1174	107	7	,	,	PUNCT
ejpam-1174	107	8	where	where	SCONJ
ejpam-1174	107	9	σn	σn	PRON
ejpam-1174	107	10	≥	≥	NOUN
ejpam-1174	107	11	0	0	NUM
ejpam-1174	107	12	and	and	CCONJ
ejpam-1174	107	13	∞	∞	NUM
ejpam-1174	107	14	∑	∑	PROPN
ejpam-1174	107	15	n=1	n=1	PROPN
ejpam-1174	107	16	σn	σn	NOUN
ejpam-1174	107	17	=	=	SYM
ejpam-1174	107	18	1	1	NUM
ejpam-1174	107	19	or	or	CCONJ
ejpam-1174	107	20	1=	1=	NUM
ejpam-1174	107	21	σ1	σ1	NOUN
ejpam-1174	107	22	+	+	CCONJ
ejpam-1174	107	23	∞	∞	PROPN
ejpam-1174	107	24	∑	∑	PROPN
ejpam-1174	107	25	n=2	n=2	ADV
ejpam-1174	107	26	σn	σn	NOUN
ejpam-1174	107	27	.	.	PUNCT
ejpam-1174	107	28	proof	proof	NOUN
ejpam-1174	107	29	.	.	PUNCT
ejpam-1174	108	1	let	let	VERB
ejpam-1174	108	2	f	f	PROPN
ejpam-1174	108	3	(	(	PUNCT
ejpam-1174	108	4	z	z	NOUN
ejpam-1174	108	5	)	)	PUNCT
ejpam-1174	108	6	=	=	SYM
ejpam-1174	109	1	∞	∞	NUM
ejpam-1174	109	2	∑	∑	PUNCT
ejpam-1174	109	3	n=1	n=1	PROPN
ejpam-1174	109	4	σn	σn	NOUN
ejpam-1174	109	5	fn(z	fn(z	NUM
ejpam-1174	109	6	)	)	PUNCT
ejpam-1174	109	7	,	,	PUNCT
ejpam-1174	109	8	where	where	SCONJ
ejpam-1174	109	9	σn	σn	PRON
ejpam-1174	109	10	≥	≥	NOUN
ejpam-1174	109	11	0	0	NUM
ejpam-1174	109	12	and	and	CCONJ
ejpam-1174	109	13	∞	∞	NUM
ejpam-1174	109	14	∑	∑	PROPN
ejpam-1174	109	15	n=1	n=1	PROPN
ejpam-1174	109	16	σn	σn	NOUN
ejpam-1174	109	17	=	=	SYM
ejpam-1174	109	18	1	1	NUM
ejpam-1174	109	19	.	.	PUNCT
ejpam-1174	110	1	then	then	ADV
ejpam-1174	110	2	f	f	X
ejpam-1174	110	3	(	(	PUNCT
ejpam-1174	110	4	z	z	NOUN
ejpam-1174	110	5	)	)	PUNCT
ejpam-1174	110	6	=	=	PUNCT
ejpam-1174	110	7	z	z	NOUN
ejpam-1174	111	1	−	−	NOUN
ejpam-1174	111	2	∞	∞	NUM
ejpam-1174	111	3	∑	∑	PROPN
ejpam-1174	111	4	n=2	n=2	X
ejpam-1174	111	5	1−α	1−α	NUM
ejpam-1174	111	6	(	(	PUNCT
ejpam-1174	111	7	1−λ+	1−λ+	NUM
ejpam-1174	111	8	nλ)(n(1	nλ)(n(1	X
ejpam-1174	111	9	+	+	X
ejpam-1174	111	10	β)−	β)−	PROPN
ejpam-1174	111	11	(	(	PUNCT
ejpam-1174	111	12	β	β	X
ejpam-1174	111	13	+	+	NOUN
ejpam-1174	111	14	α))k(n,µ,θ)bn	α))k(n,µ,θ)bn	PROPN
ejpam-1174	111	15	σnzn	σnzn	NOUN
ejpam-1174	111	16	,	,	PUNCT
ejpam-1174	111	17	and	and	CCONJ
ejpam-1174	111	18	we	we	PRON
ejpam-1174	111	19	get	get	VERB
ejpam-1174	111	20	∞	∞	PROPN
ejpam-1174	111	21	∑	∑	PUNCT
ejpam-1174	111	22	n=2	n=2	X
ejpam-1174	111	23	�	�	PROPN
ejpam-1174	111	24	(	(	PUNCT
ejpam-1174	111	25	1−λ+	1−λ+	NUM
ejpam-1174	111	26	nλ)(n(1	nλ)(n(1	X
ejpam-1174	111	27	+	+	X
ejpam-1174	111	28	β)−	β)−	PROPN
ejpam-1174	111	29	(	(	PUNCT
ejpam-1174	111	30	β	β	X
ejpam-1174	111	31	+	+	NOUN
ejpam-1174	111	32	α))k(n,µ,θ)bn	α))k(n,µ,θ)bn	ADJ
ejpam-1174	111	33	1−α	1−α	NUM
ejpam-1174	111	34	�	�	PROPN
ejpam-1174	111	35	×	×	PROPN
ejpam-1174	111	36	w.	w.	PROPN
ejpam-1174	111	37	atshan	atshan	PROPN
ejpam-1174	111	38	,	,	PUNCT
ejpam-1174	111	39	r.	r.	PROPN
ejpam-1174	111	40	buti	buti	PROPN
ejpam-1174	111	41	/	/	SYM
ejpam-1174	111	42	eur	eur	PROPN
ejpam-1174	111	43	.	.	PUNCT
ejpam-1174	112	1	j.	j.	PROPN
ejpam-1174	112	2	pure	pure	PROPN
ejpam-1174	112	3	appl	appl	PROPN
ejpam-1174	112	4	.	.	PROPN
ejpam-1174	112	5	math	math	PROPN
ejpam-1174	112	6	,	,	PUNCT
ejpam-1174	112	7	4	4	NUM
ejpam-1174	112	8	(	(	PUNCT
ejpam-1174	112	9	2011	2011	NUM
ejpam-1174	112	10	)	)	PUNCT
ejpam-1174	112	11	,	,	PUNCT
ejpam-1174	112	12	162	162	NUM
ejpam-1174	112	13	-	-	SYM
ejpam-1174	112	14	173	173	NUM
ejpam-1174	112	15	168	168	NUM
ejpam-1174	112	16	�	�	PROPN
ejpam-1174	112	17	σn	σn	ADP
ejpam-1174	112	18	1−α	1−α	NUM
ejpam-1174	112	19	(	(	PUNCT
ejpam-1174	112	20	1−λ+	1−λ+	NUM
ejpam-1174	112	21	nλ)(n(1+β)−	nλ)(n(1+β)−	NOUN
ejpam-1174	112	22	(	(	PUNCT
ejpam-1174	112	23	β	β	X
ejpam-1174	112	24	+	+	ADJ
ejpam-1174	112	25	α))k(n,µ,θ)bn	α))k(n,µ,θ)bn	PROPN
ejpam-1174	112	26	�	�	PROPN
ejpam-1174	112	27	=	=	SYM
ejpam-1174	112	28	∞	∞	PROPN
ejpam-1174	112	29	∑	∑	PUNCT
ejpam-1174	112	30	n=2	n=2	ADV
ejpam-1174	112	31	σn	σn	NOUN
ejpam-1174	112	32	=	=	SYM
ejpam-1174	112	33	1−σ1	1−σ1	NUM
ejpam-1174	112	34	≤	≤	NUM
ejpam-1174	112	35	1	1	NUM
ejpam-1174	112	36	(	(	PUNCT
ejpam-1174	112	37	by	by	ADP
ejpam-1174	112	38	theorem	theorem	NOUN
ejpam-1174	112	39	1	1	NUM
ejpam-1174	112	40	)	)	PUNCT
ejpam-1174	112	41	.	.	PUNCT
ejpam-1174	113	1	by	by	ADP
ejpam-1174	113	2	virtue	virtue	NOUN
ejpam-1174	113	3	of	of	ADP
ejpam-1174	113	4	theorem	theorem	NOUN
ejpam-1174	113	5	1	1	NUM
ejpam-1174	113	6	,	,	PUNCT
ejpam-1174	113	7	we	we	PRON
ejpam-1174	113	8	can	can	AUX
ejpam-1174	113	9	show	show	VERB
ejpam-1174	113	10	that	that	SCONJ
ejpam-1174	113	11	f	f	PROPN
ejpam-1174	113	12	(	(	PUNCT
ejpam-1174	113	13	z	z	NOUN
ejpam-1174	113	14	)	)	PUNCT
ejpam-1174	113	15	∈wr(λ	∈wr(λ	PROPN
ejpam-1174	113	16	,	,	PUNCT
ejpam-1174	113	17	β	β	X
ejpam-1174	113	18	,	,	PUNCT
ejpam-1174	113	19	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	113	20	)	)	PUNCT
ejpam-1174	113	21	.	.	PUNCT
ejpam-1174	114	1	conversely	conversely	ADV
ejpam-1174	114	2	,	,	PUNCT
ejpam-1174	114	3	assume	assume	VERB
ejpam-1174	114	4	that	that	SCONJ
ejpam-1174	114	5	f	f	PROPN
ejpam-1174	114	6	(	(	PUNCT
ejpam-1174	114	7	z	z	NOUN
ejpam-1174	114	8	)	)	PUNCT
ejpam-1174	114	9	of	of	ADP
ejpam-1174	114	10	the	the	DET
ejpam-1174	114	11	form	form	NOUN
ejpam-1174	114	12	(	(	PUNCT
ejpam-1174	114	13	1	1	X
ejpam-1174	114	14	)	)	PUNCT
ejpam-1174	114	15	belongs	belong	VERB
ejpam-1174	114	16	to	to	PART
ejpam-1174	114	17	wr(λ	wr(λ	ADP
ejpam-1174	114	18	,	,	PUNCT
ejpam-1174	114	19	β	β	X
ejpam-1174	114	20	,	,	PUNCT
ejpam-1174	114	21	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	114	22	)	)	PUNCT
ejpam-1174	114	23	.	.	PUNCT
ejpam-1174	115	1	then	then	ADV
ejpam-1174	115	2	an	an	DET
ejpam-1174	115	3	≤	≤	ADJ
ejpam-1174	115	4	1−α	1−α	NUM
ejpam-1174	115	5	(	(	PUNCT
ejpam-1174	115	6	1−λ+	1−λ+	NUM
ejpam-1174	115	7	nλ)(n(1	nλ)(n(1	X
ejpam-1174	115	8	+	+	X
ejpam-1174	115	9	β)−	β)−	PROPN
ejpam-1174	115	10	(	(	PUNCT
ejpam-1174	115	11	β	β	X
ejpam-1174	115	12	+	+	NOUN
ejpam-1174	115	13	α))k(n,µ,θ)bn	α))k(n,µ,θ)bn	NOUN
ejpam-1174	115	14	,	,	PUNCT
ejpam-1174	115	15	n	n	X
ejpam-1174	115	16	∈	∈	NOUN
ejpam-1174	115	17	in	in	ADV
ejpam-1174	115	18	,	,	PUNCT
ejpam-1174	115	19	n≥	n≥	PROPN
ejpam-1174	115	20	2	2	NUM
ejpam-1174	115	21	.	.	X
ejpam-1174	115	22	setting	set	VERB
ejpam-1174	115	23	σn	σn	NOUN
ejpam-1174	115	24	=	=	SYM
ejpam-1174	115	25	(	(	PUNCT
ejpam-1174	115	26	1−λ+	1−λ+	NUM
ejpam-1174	115	27	nλ)(n(1	nλ)(n(1	X
ejpam-1174	115	28	+	+	X
ejpam-1174	115	29	β)−	β)−	PROPN
ejpam-1174	115	30	(	(	PUNCT
ejpam-1174	115	31	β	β	X
ejpam-1174	115	32	+	+	NOUN
ejpam-1174	115	33	α))k(n,µ,θ)an	α))k(n,µ,θ)an	NOUN
ejpam-1174	115	34	bn	bn	PROPN
ejpam-1174	115	35	1−α	1−α	NUM
ejpam-1174	115	36	and	and	CCONJ
ejpam-1174	115	37	σ1	σ1	PROPN
ejpam-1174	115	38	=	=	SYM
ejpam-1174	115	39	1−	1−	NUM
ejpam-1174	115	40	∞	∞	NUM
ejpam-1174	115	41	∑	∑	PROPN
ejpam-1174	115	42	n=2	n=2	X
ejpam-1174	115	43	σn	σn	NOUN
ejpam-1174	115	44	,	,	PUNCT
ejpam-1174	115	45	we	we	PRON
ejpam-1174	115	46	obtain	obtain	VERB
ejpam-1174	115	47	f	f	X
ejpam-1174	115	48	(	(	PUNCT
ejpam-1174	115	49	z	z	NOUN
ejpam-1174	115	50	)	)	PUNCT
ejpam-1174	115	51	=	=	SYM
ejpam-1174	116	1	∞	∞	NUM
ejpam-1174	116	2	∑	∑	PUNCT
ejpam-1174	116	3	n=1	n=1	PROPN
ejpam-1174	116	4	σn	σn	NOUN
ejpam-1174	116	5	fn(z	fn(z	NUM
ejpam-1174	116	6	)	)	PUNCT
ejpam-1174	116	7	=	=	SYM
ejpam-1174	116	8	σ1	σ1	NOUN
ejpam-1174	116	9	f1	f1	NOUN
ejpam-1174	116	10	(	(	PUNCT
ejpam-1174	116	11	)	)	PUNCT
ejpam-1174	117	1	+	+	CCONJ
ejpam-1174	117	2	∞	∞	NUM
ejpam-1174	117	3	∑	∑	PUNCT
ejpam-1174	117	4	n=2	n=2	ADV
ejpam-1174	117	5	σn	σn	NOUN
ejpam-1174	117	6	fn(z	fn(z	NUM
ejpam-1174	117	7	)	)	PUNCT
ejpam-1174	117	8	.	.	PUNCT
ejpam-1174	118	1	this	this	PRON
ejpam-1174	118	2	completes	complete	VERB
ejpam-1174	118	3	the	the	DET
ejpam-1174	118	4	proof	proof	NOUN
ejpam-1174	118	5	.	.	PUNCT
ejpam-1174	119	1	3	3	X
ejpam-1174	119	2	.	.	X
ejpam-1174	119	3	application	application	NOUN
ejpam-1174	119	4	of	of	ADP
ejpam-1174	119	5	the	the	DET
ejpam-1174	119	6	fractional	fractional	ADJ
ejpam-1174	119	7	calculus	calculus	NOUN
ejpam-1174	119	8	various	various	ADJ
ejpam-1174	119	9	operators	operator	NOUN
ejpam-1174	119	10	of	of	ADP
ejpam-1174	119	11	fractional	fractional	ADJ
ejpam-1174	119	12	calculus	calculus	NOUN
ejpam-1174	119	13	(	(	PUNCT
ejpam-1174	119	14	that	that	PRON
ejpam-1174	119	15	is	is	ADV
ejpam-1174	119	16	,	,	PUNCT
ejpam-1174	119	17	fractional	fractional	ADJ
ejpam-1174	119	18	derivative	derivative	ADJ
ejpam-1174	119	19	and	and	CCONJ
ejpam-1174	119	20	fractional	fractional	ADJ
ejpam-1174	119	21	integral	integral	ADJ
ejpam-1174	119	22	)	)	PUNCT
ejpam-1174	119	23	have	have	AUX
ejpam-1174	119	24	been	be	AUX
ejpam-1174	119	25	rather	rather	ADV
ejpam-1174	119	26	extensively	extensively	ADV
ejpam-1174	119	27	studied	study	VERB
ejpam-1174	119	28	by	by	ADP
ejpam-1174	119	29	many	many	ADJ
ejpam-1174	119	30	researcher	researcher	NOUN
ejpam-1174	119	31	(	(	PUNCT
ejpam-1174	119	32	c.f	c.f	PROPN
ejpam-1174	119	33	.	.	PUNCT
ejpam-1174	120	1	[	[	X
ejpam-1174	120	2	3	3	NUM
ejpam-1174	120	3	-	-	SYM
ejpam-1174	120	4	5	5	NUM
ejpam-1174	120	5	]	]	PUNCT
ejpam-1174	120	6	)	)	PUNCT
ejpam-1174	120	7	.	.	PUNCT
ejpam-1174	121	1	however	however	ADV
ejpam-1174	121	2	,	,	PUNCT
ejpam-1174	121	3	we	we	PRON
ejpam-1174	121	4	try	try	VERB
ejpam-1174	121	5	to	to	PART
ejpam-1174	121	6	restrict	restrict	VERB
ejpam-1174	121	7	ourselves	ourselves	PRON
ejpam-1174	121	8	to	to	ADP
ejpam-1174	121	9	the	the	DET
ejpam-1174	121	10	following	follow	VERB
ejpam-1174	121	11	definitions	definition	NOUN
ejpam-1174	121	12	given	give	VERB
ejpam-1174	121	13	by	by	ADP
ejpam-1174	121	14	owa	owa	PROPN
ejpam-1174	121	15	[	[	X
ejpam-1174	121	16	2	2	NUM
ejpam-1174	121	17	]	]	PUNCT
ejpam-1174	121	18	for	for	ADP
ejpam-1174	121	19	convenience	convenience	NOUN
ejpam-1174	121	20	.	.	PUNCT
ejpam-1174	122	1	definition	definition	NOUN
ejpam-1174	122	2	2	2	NUM
ejpam-1174	122	3	(	(	PUNCT
ejpam-1174	122	4	fractional	fractional	ADJ
ejpam-1174	122	5	integral	integral	ADJ
ejpam-1174	122	6	operator	operator	NOUN
ejpam-1174	122	7	)	)	PUNCT
ejpam-1174	122	8	.	.	PUNCT
ejpam-1174	123	1	the	the	DET
ejpam-1174	123	2	fractional	fractional	ADJ
ejpam-1174	123	3	integral	integral	NOUN
ejpam-1174	123	4	of	of	ADP
ejpam-1174	123	5	order	order	NOUN
ejpam-1174	123	6	δ	δ	PROPN
ejpam-1174	123	7	is	be	AUX
ejpam-1174	123	8	defined	define	VERB
ejpam-1174	123	9	,	,	PUNCT
ejpam-1174	123	10	for	for	ADP
ejpam-1174	123	11	a	a	DET
ejpam-1174	123	12	function	function	NOUN
ejpam-1174	123	13	f	f	X
ejpam-1174	123	14	(	(	PUNCT
ejpam-1174	123	15	z	z	NOUN
ejpam-1174	123	16	)	)	PUNCT
ejpam-1174	123	17	,	,	PUNCT
ejpam-1174	123	18	by	by	ADP
ejpam-1174	123	19	d−δz	d−δz	NOUN
ejpam-1174	123	20	f	f	PROPN
ejpam-1174	123	21	(	(	PUNCT
ejpam-1174	123	22	z	z	NOUN
ejpam-1174	123	23	)	)	PUNCT
ejpam-1174	123	24	=	=	SYM
ejpam-1174	123	25	1	1	NUM
ejpam-1174	123	26	γ(δ	γ(δ	PROPN
ejpam-1174	123	27	)	)	PUNCT
ejpam-1174	124	1	∫	∫	PROPN
ejpam-1174	124	2	z	z	NOUN
ejpam-1174	124	3	0	0	NUM
ejpam-1174	125	1	f	f	PROPN
ejpam-1174	125	2	(	(	PUNCT
ejpam-1174	125	3	t	t	PROPN
ejpam-1174	125	4	)	)	PUNCT
ejpam-1174	125	5	(	(	PUNCT
ejpam-1174	125	6	z−	z−	PROPN
ejpam-1174	125	7	t)1−δ	t)1−δ	PROPN
ejpam-1174	126	1	d	d	X
ejpam-1174	126	2	t	t	PROPN
ejpam-1174	126	3	(	(	PUNCT
ejpam-1174	126	4	δ	δ	PROPN
ejpam-1174	126	5	>	>	X
ejpam-1174	126	6	0	0	NUM
ejpam-1174	126	7	)	)	PUNCT
ejpam-1174	126	8	,	,	PUNCT
ejpam-1174	126	9	(	(	PUNCT
ejpam-1174	126	10	7	7	X
ejpam-1174	126	11	)	)	PUNCT
ejpam-1174	126	12	where	where	SCONJ
ejpam-1174	126	13	f	f	PROPN
ejpam-1174	126	14	(	(	PUNCT
ejpam-1174	126	15	z	z	NOUN
ejpam-1174	126	16	)	)	PUNCT
ejpam-1174	126	17	is	be	AUX
ejpam-1174	126	18	an	an	DET
ejpam-1174	126	19	analytic	analytic	ADJ
ejpam-1174	126	20	function	function	NOUN
ejpam-1174	126	21	in	in	ADP
ejpam-1174	126	22	a	a	DET
ejpam-1174	126	23	simply	simply	ADV
ejpam-1174	126	24	connected	connected	ADJ
ejpam-1174	126	25	region	region	NOUN
ejpam-1174	126	26	of	of	ADP
ejpam-1174	126	27	the	the	DET
ejpam-1174	126	28	z	z	NOUN
ejpam-1174	126	29	-	-	NOUN
ejpam-1174	126	30	plane	plane	NOUN
ejpam-1174	126	31	containing	contain	VERB
ejpam-1174	126	32	the	the	DET
ejpam-1174	126	33	origin	origin	NOUN
ejpam-1174	126	34	,	,	PUNCT
ejpam-1174	126	35	and	and	CCONJ
ejpam-1174	126	36	the	the	DET
ejpam-1174	126	37	multiplicity	multiplicity	NOUN
ejpam-1174	126	38	of	of	ADP
ejpam-1174	126	39	(	(	PUNCT
ejpam-1174	126	40	z	z	NOUN
ejpam-1174	126	41	−	−	PROPN
ejpam-1174	126	42	t)δ−1	t)δ−1	PROPN
ejpam-1174	126	43	is	be	AUX
ejpam-1174	126	44	removed	remove	VERB
ejpam-1174	126	45	by	by	ADP
ejpam-1174	126	46	requiring	require	VERB
ejpam-1174	126	47	log(z	log(z	NOUN
ejpam-1174	126	48	−	−	PROPN
ejpam-1174	126	49	t	t	NOUN
ejpam-1174	126	50	)	)	PUNCT
ejpam-1174	126	51	to	to	PART
ejpam-1174	126	52	be	be	AUX
ejpam-1174	126	53	real	real	ADJ
ejpam-1174	126	54	,	,	PUNCT
ejpam-1174	126	55	when	when	SCONJ
ejpam-1174	126	56	(	(	PUNCT
ejpam-1174	126	57	z	z	NOUN
ejpam-1174	126	58	−	−	PROPN
ejpam-1174	126	59	t	t	PROPN
ejpam-1174	126	60	)	)	PUNCT
ejpam-1174	126	61	>	>	X
ejpam-1174	126	62	0	0	X
ejpam-1174	126	63	.	.	PUNCT
ejpam-1174	127	1	definition	definition	NOUN
ejpam-1174	127	2	3	3	NUM
ejpam-1174	127	3	(	(	PUNCT
ejpam-1174	127	4	fractional	fractional	ADJ
ejpam-1174	127	5	derivative	derivative	ADJ
ejpam-1174	127	6	operator	operator	NOUN
ejpam-1174	127	7	)	)	PUNCT
ejpam-1174	127	8	.	.	PUNCT
ejpam-1174	128	1	the	the	DET
ejpam-1174	128	2	fractional	fractional	ADJ
ejpam-1174	128	3	derivative	derivative	NOUN
ejpam-1174	128	4	of	of	ADP
ejpam-1174	128	5	order	order	NOUN
ejpam-1174	128	6	δ	δ	PROPN
ejpam-1174	128	7	is	be	AUX
ejpam-1174	128	8	defined	define	VERB
ejpam-1174	128	9	,	,	PUNCT
ejpam-1174	128	10	for	for	ADP
ejpam-1174	128	11	a	a	DET
ejpam-1174	128	12	function	function	NOUN
ejpam-1174	128	13	f	f	X
ejpam-1174	128	14	(	(	PUNCT
ejpam-1174	128	15	z	z	NOUN
ejpam-1174	128	16	)	)	PUNCT
ejpam-1174	128	17	by	by	ADP
ejpam-1174	128	18	dδz	dδz	PROPN
ejpam-1174	128	19	f	f	PROPN
ejpam-1174	128	20	(	(	PUNCT
ejpam-1174	128	21	z	z	NOUN
ejpam-1174	128	22	)	)	PUNCT
ejpam-1174	128	23	=	=	SYM
ejpam-1174	128	24	1	1	NUM
ejpam-1174	128	25	γ(1−	γ(1−	PROPN
ejpam-1174	128	26	δ	δ	PROPN
ejpam-1174	128	27	)	)	PUNCT
ejpam-1174	129	1	d	d	PROPN
ejpam-1174	129	2	dz	dz	PROPN
ejpam-1174	129	3	∫	∫	PROPN
ejpam-1174	129	4	z	z	PROPN
ejpam-1174	129	5	0	0	NUM
ejpam-1174	130	1	f	f	PROPN
ejpam-1174	130	2	(	(	PUNCT
ejpam-1174	130	3	t	t	PROPN
ejpam-1174	130	4	)	)	PUNCT
ejpam-1174	130	5	(	(	PUNCT
ejpam-1174	130	6	z	z	NOUN
ejpam-1174	130	7	−	−	NOUN
ejpam-1174	130	8	t)δ	t)δ	PUNCT
ejpam-1174	130	9	d	d	NOUN
ejpam-1174	130	10	t	t	NOUN
ejpam-1174	130	11	‘	'	PUNCT
ejpam-1174	130	12	(	(	PUNCT
ejpam-1174	130	13	0≤	0≤	NUM
ejpam-1174	130	14	δ	δ	NOUN
ejpam-1174	130	15	<	<	X
ejpam-1174	130	16	1	1	NUM
ejpam-1174	130	17	)	)	PUNCT
ejpam-1174	130	18	,	,	PUNCT
ejpam-1174	130	19	(	(	PUNCT
ejpam-1174	130	20	8)	8)	NUM
ejpam-1174	130	21	where	where	SCONJ
ejpam-1174	130	22	f	f	PROPN
ejpam-1174	130	23	(	(	PUNCT
ejpam-1174	130	24	z	z	NOUN
ejpam-1174	130	25	)	)	PUNCT
ejpam-1174	130	26	is	be	AUX
ejpam-1174	130	27	as	as	ADP
ejpam-1174	130	28	in	in	ADP
ejpam-1174	130	29	definition	definition	NOUN
ejpam-1174	130	30	2	2	NUM
ejpam-1174	130	31	.	.	PUNCT
ejpam-1174	130	32	w.	w.	PROPN
ejpam-1174	130	33	atshan	atshan	PROPN
ejpam-1174	130	34	,	,	PUNCT
ejpam-1174	130	35	r.	r.	PROPN
ejpam-1174	130	36	buti	buti	PROPN
ejpam-1174	130	37	/	/	SYM
ejpam-1174	130	38	eur	eur	PROPN
ejpam-1174	130	39	.	.	PUNCT
ejpam-1174	131	1	j.	j.	PROPN
ejpam-1174	131	2	pure	pure	PROPN
ejpam-1174	131	3	appl	appl	PROPN
ejpam-1174	131	4	.	.	PROPN
ejpam-1174	131	5	math	math	PROPN
ejpam-1174	131	6	,	,	PUNCT
ejpam-1174	131	7	4	4	NUM
ejpam-1174	131	8	(	(	PUNCT
ejpam-1174	131	9	2011	2011	NUM
ejpam-1174	131	10	)	)	PUNCT
ejpam-1174	131	11	,	,	PUNCT
ejpam-1174	131	12	162	162	NUM
ejpam-1174	131	13	-	-	SYM
ejpam-1174	131	14	173	173	NUM
ejpam-1174	131	15	169	169	NUM
ejpam-1174	131	16	definition	definition	NOUN
ejpam-1174	131	17	4	4	NUM
ejpam-1174	131	18	(	(	PUNCT
ejpam-1174	131	19	under	under	ADP
ejpam-1174	131	20	the	the	DET
ejpam-1174	131	21	condition	condition	NOUN
ejpam-1174	131	22	of	of	ADP
ejpam-1174	131	23	definition	definition	NOUN
ejpam-1174	131	24	3	3	NUM
ejpam-1174	131	25	)	)	PUNCT
ejpam-1174	131	26	.	.	PUNCT
ejpam-1174	132	1	the	the	DET
ejpam-1174	132	2	fractional	fractional	ADJ
ejpam-1174	132	3	derivative	derivative	NOUN
ejpam-1174	132	4	of	of	ADP
ejpam-1174	132	5	order	order	NOUN
ejpam-1174	132	6	k+	k+	PUNCT
ejpam-1174	132	7	δ	δ	PROPN
ejpam-1174	132	8	(	(	PUNCT
ejpam-1174	132	9	k	k	NOUN
ejpam-1174	132	10	=	=	SYM
ejpam-1174	132	11	0,1,2	0,1,2	NOUN
ejpam-1174	132	12	,	,	PUNCT
ejpam-1174	132	13	·	·	PUNCT
ejpam-1174	132	14	·	·	PUNCT
ejpam-1174	132	15	·	·	PUNCT
ejpam-1174	132	16	)	)	PUNCT
ejpam-1174	132	17	is	be	AUX
ejpam-1174	132	18	defined	define	VERB
ejpam-1174	132	19	by	by	ADP
ejpam-1174	132	20	dk+δ	dk+δ	PROPN
ejpam-1174	132	21	z	z	NOUN
ejpam-1174	132	22	f	f	NOUN
ejpam-1174	132	23	(	(	PUNCT
ejpam-1174	132	24	z	z	NOUN
ejpam-1174	132	25	)	)	PUNCT
ejpam-1174	132	26	=	=	NOUN
ejpam-1174	133	1	dk	dk	PROPN
ejpam-1174	133	2	dzk	dzk	PROPN
ejpam-1174	133	3	dδz	dδz	PROPN
ejpam-1174	133	4	f	f	PROPN
ejpam-1174	133	5	(	(	PUNCT
ejpam-1174	133	6	z	z	NOUN
ejpam-1174	133	7	)	)	PUNCT
ejpam-1174	133	8	,	,	PUNCT
ejpam-1174	133	9	(	(	PUNCT
ejpam-1174	133	10	0≤	0≤	NUM
ejpam-1174	133	11	δ	δ	X
ejpam-1174	133	12	<	<	X
ejpam-1174	133	13	1	1	NUM
ejpam-1174	133	14	)	)	PUNCT
ejpam-1174	133	15	.	.	PUNCT
ejpam-1174	134	1	(	(	PUNCT
ejpam-1174	134	2	9	9	NUM
ejpam-1174	134	3	)	)	PUNCT
ejpam-1174	134	4	from	from	ADP
ejpam-1174	134	5	definition	definition	NOUN
ejpam-1174	134	6	2	2	NUM
ejpam-1174	134	7	and	and	CCONJ
ejpam-1174	134	8	3	3	NUM
ejpam-1174	134	9	by	by	ADP
ejpam-1174	134	10	applying	apply	VERB
ejpam-1174	134	11	a	a	DET
ejpam-1174	134	12	simple	simple	ADJ
ejpam-1174	134	13	calculation	calculation	NOUN
ejpam-1174	134	14	we	we	PRON
ejpam-1174	134	15	get	get	VERB
ejpam-1174	134	16	d−δz	d−δz	NOUN
ejpam-1174	134	17	f	f	PROPN
ejpam-1174	134	18	(	(	PUNCT
ejpam-1174	134	19	z	z	NOUN
ejpam-1174	134	20	)	)	PUNCT
ejpam-1174	134	21	=	=	SYM
ejpam-1174	134	22	1	1	NUM
ejpam-1174	134	23	γ(2	γ(2	PROPN
ejpam-1174	134	24	+	+	CCONJ
ejpam-1174	134	25	δ	δ	PROPN
ejpam-1174	134	26	)	)	PUNCT
ejpam-1174	134	27	zδ+1	zδ+1	NUM
ejpam-1174	134	28	−	−	NOUN
ejpam-1174	135	1	∞	∞	PROPN
ejpam-1174	135	2	∑	∑	PROPN
ejpam-1174	135	3	n=2	n=2	X
ejpam-1174	135	4	γ(n+	γ(n+	NUM
ejpam-1174	135	5	1	1	NUM
ejpam-1174	135	6	)	)	PUNCT
ejpam-1174	135	7	γ(n+	γ(n+	PRON
ejpam-1174	135	8	1	1	NUM
ejpam-1174	135	9	+	+	NUM
ejpam-1174	135	10	δ	δ	PROPN
ejpam-1174	135	11	)	)	PUNCT
ejpam-1174	135	12	anzn+δ	anzn+δ	PROPN
ejpam-1174	135	13	,	,	PUNCT
ejpam-1174	135	14	(	(	PUNCT
ejpam-1174	135	15	10	10	NUM
ejpam-1174	135	16	)	)	PUNCT
ejpam-1174	135	17	dδz	dδz	NOUN
ejpam-1174	135	18	f	f	PROPN
ejpam-1174	135	19	(	(	PUNCT
ejpam-1174	135	20	z	z	NOUN
ejpam-1174	135	21	)	)	PUNCT
ejpam-1174	135	22	=	=	SYM
ejpam-1174	135	23	1	1	NUM
ejpam-1174	135	24	γ(2−	γ(2−	PROPN
ejpam-1174	135	25	δ	δ	PROPN
ejpam-1174	135	26	)	)	PUNCT
ejpam-1174	135	27	z1−δ	z1−δ	PROPN
ejpam-1174	135	28	−	−	NUM
ejpam-1174	136	1	∞	∞	PROPN
ejpam-1174	136	2	∑	∑	PROPN
ejpam-1174	136	3	n=2	n=2	X
ejpam-1174	136	4	γ(n+	γ(n+	NUM
ejpam-1174	136	5	1	1	NUM
ejpam-1174	136	6	)	)	PUNCT
ejpam-1174	136	7	γ(n+	γ(n+	NOUN
ejpam-1174	136	8	1−	1−	NUM
ejpam-1174	136	9	δ	δ	PROPN
ejpam-1174	136	10	)	)	PUNCT
ejpam-1174	136	11	anzn−δ	anzn−δ	PROPN
ejpam-1174	136	12	.	.	PUNCT
ejpam-1174	137	1	(	(	PUNCT
ejpam-1174	137	2	11	11	NUM
ejpam-1174	137	3	)	)	PUNCT
ejpam-1174	137	4	now	now	ADV
ejpam-1174	137	5	making	make	VERB
ejpam-1174	137	6	use	use	NOUN
ejpam-1174	137	7	of	of	ADP
ejpam-1174	137	8	above	above	ADV
ejpam-1174	137	9	(	(	PUNCT
ejpam-1174	137	10	10	10	NUM
ejpam-1174	137	11	)	)	PUNCT
ejpam-1174	137	12	,	,	PUNCT
ejpam-1174	137	13	(	(	PUNCT
ejpam-1174	137	14	11	11	NUM
ejpam-1174	137	15	)	)	PUNCT
ejpam-1174	137	16	,	,	PUNCT
ejpam-1174	137	17	we	we	PRON
ejpam-1174	137	18	state	state	VERB
ejpam-1174	137	19	and	and	CCONJ
ejpam-1174	137	20	prove	prove	VERB
ejpam-1174	137	21	the	the	DET
ejpam-1174	137	22	theorems	theorem	NOUN
ejpam-1174	137	23	:	:	PUNCT
ejpam-1174	137	24	theorem	theorem	NOUN
ejpam-1174	137	25	3	3	X
ejpam-1174	137	26	.	.	PUNCT
ejpam-1174	138	1	let	let	VERB
ejpam-1174	138	2	f	f	PROPN
ejpam-1174	138	3	(	(	PUNCT
ejpam-1174	138	4	z	z	NOUN
ejpam-1174	138	5	)	)	PUNCT
ejpam-1174	138	6	∈wr(λ	∈wr(λ	PROPN
ejpam-1174	138	7	,	,	PUNCT
ejpam-1174	138	8	β	β	X
ejpam-1174	138	9	,	,	PUNCT
ejpam-1174	138	10	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	138	11	)	)	PUNCT
ejpam-1174	138	12	.	.	PUNCT
ejpam-1174	139	1	then	then	ADV
ejpam-1174	139	2	|d−δz	|d−δz	NOUN
ejpam-1174	139	3	f	f	PROPN
ejpam-1174	139	4	(	(	PUNCT
ejpam-1174	139	5	z)|	z)|	ADP
ejpam-1174	139	6	≤	≤	PROPN
ejpam-1174	139	7	1	1	NUM
ejpam-1174	139	8	γ(2	γ(2	PROPN
ejpam-1174	139	9	+	+	CCONJ
ejpam-1174	139	10	δ	δ	PROPN
ejpam-1174	139	11	)	)	PUNCT
ejpam-1174	139	12	|z|δ+1	|z|δ+1	PROPN
ejpam-1174	139	13	�	�	PROPN
ejpam-1174	139	14	1	1	NUM
ejpam-1174	139	15	+	+	NUM
ejpam-1174	139	16	2(1−α	2(1−α	NUM
ejpam-1174	139	17	)	)	PUNCT
ejpam-1174	139	18	(	(	PUNCT
ejpam-1174	139	19	2	2	NUM
ejpam-1174	139	20	+	+	NUM
ejpam-1174	139	21	δ)(1+λ)(2	δ)(1+λ)(2	NOUN
ejpam-1174	139	22	+	+	X
ejpam-1174	139	23	β	β	X
ejpam-1174	139	24	−α)(θ	−α)(θ	NOUN
ejpam-1174	139	25	+	+	CCONJ
ejpam-1174	139	26	1)b2	1)b2	NUM
ejpam-1174	139	27	|z|	|z|	NOUN
ejpam-1174	139	28	�	�	PROPN
ejpam-1174	139	29	,	,	PUNCT
ejpam-1174	139	30	(	(	PUNCT
ejpam-1174	139	31	12	12	NUM
ejpam-1174	139	32	)	)	PUNCT
ejpam-1174	139	33	and	and	CCONJ
ejpam-1174	139	34	|d−δz	|d−δz	PROPN
ejpam-1174	139	35	f	f	PROPN
ejpam-1174	139	36	(	(	PUNCT
ejpam-1174	139	37	z)|	z)|	INTJ
ejpam-1174	139	38	≥	≥	NUM
ejpam-1174	139	39	1	1	NUM
ejpam-1174	139	40	γ(2	γ(2	PROPN
ejpam-1174	139	41	+	+	CCONJ
ejpam-1174	139	42	δ	δ	PROPN
ejpam-1174	139	43	)	)	PUNCT
ejpam-1174	139	44	|z|δ+1	|z|δ+1	PROPN
ejpam-1174	139	45	�	�	PROPN
ejpam-1174	139	46	1−	1−	NUM
ejpam-1174	139	47	2(1−α	2(1−α	NUM
ejpam-1174	139	48	)	)	PUNCT
ejpam-1174	139	49	(	(	PUNCT
ejpam-1174	139	50	2	2	NUM
ejpam-1174	139	51	+	+	NUM
ejpam-1174	139	52	δ)(1+λ)(2	δ)(1+λ)(2	NOUN
ejpam-1174	139	53	+	+	X
ejpam-1174	139	54	β	β	X
ejpam-1174	139	55	−α)(θ	−α)(θ	NOUN
ejpam-1174	139	56	+	+	CCONJ
ejpam-1174	139	57	1)b2	1)b2	NUM
ejpam-1174	139	58	|z|	|z|	NOUN
ejpam-1174	139	59	�	�	PROPN
ejpam-1174	139	60	,	,	PUNCT
ejpam-1174	139	61	(	(	PUNCT
ejpam-1174	139	62	13	13	NUM
ejpam-1174	139	63	)	)	PUNCT
ejpam-1174	139	64	the	the	DET
ejpam-1174	139	65	inequalities	inequality	NOUN
ejpam-1174	139	66	in	in	ADP
ejpam-1174	139	67	(	(	PUNCT
ejpam-1174	139	68	12	12	NUM
ejpam-1174	139	69	)	)	PUNCT
ejpam-1174	139	70	and	and	CCONJ
ejpam-1174	139	71	(	(	PUNCT
ejpam-1174	139	72	13	13	NUM
ejpam-1174	139	73	)	)	PUNCT
ejpam-1174	139	74	are	be	AUX
ejpam-1174	139	75	attained	attain	VERB
ejpam-1174	139	76	for	for	ADP
ejpam-1174	139	77	the	the	DET
ejpam-1174	139	78	function	function	NOUN
ejpam-1174	139	79	given	give	VERB
ejpam-1174	139	80	by	by	ADP
ejpam-1174	139	81	f	f	PROPN
ejpam-1174	139	82	(	(	PUNCT
ejpam-1174	139	83	z	z	NOUN
ejpam-1174	139	84	)	)	PUNCT
ejpam-1174	139	85	=	=	PUNCT
ejpam-1174	140	1	z	z	NOUN
ejpam-1174	141	1	−	−	PROPN
ejpam-1174	141	2	1−α	1−α	NUM
ejpam-1174	141	3	(	(	PUNCT
ejpam-1174	141	4	1+λ)(2	1+λ)(2	NUM
ejpam-1174	141	5	+	+	ADJ
ejpam-1174	141	6	β	β	X
ejpam-1174	141	7	−α)(θ	−α)(θ	NOUN
ejpam-1174	141	8	+	+	CCONJ
ejpam-1174	141	9	1)b2	1)b2	PROPN
ejpam-1174	141	10	z2	z2	NOUN
ejpam-1174	141	11	(	(	PUNCT
ejpam-1174	141	12	14	14	NUM
ejpam-1174	141	13	)	)	PUNCT
ejpam-1174	141	14	proof	proof	NOUN
ejpam-1174	141	15	.	.	PUNCT
ejpam-1174	142	1	by	by	ADP
ejpam-1174	142	2	using	use	VERB
ejpam-1174	142	3	theorem	theorem	NOUN
ejpam-1174	142	4	1	1	NUM
ejpam-1174	142	5	,	,	PUNCT
ejpam-1174	142	6	we	we	PRON
ejpam-1174	142	7	have	have	VERB
ejpam-1174	142	8	∞	∞	PROPN
ejpam-1174	142	9	∑	∑	PROPN
ejpam-1174	142	10	n=2	n=2	X
ejpam-1174	142	11	an	an	DET
ejpam-1174	142	12	≤	≤	NUM
ejpam-1174	142	13	1−α	1−α	NUM
ejpam-1174	142	14	(	(	PUNCT
ejpam-1174	142	15	1+λ)(2	1+λ)(2	NUM
ejpam-1174	142	16	+	+	ADJ
ejpam-1174	142	17	β	β	X
ejpam-1174	142	18	−α)(θ	−α)(θ	NOUN
ejpam-1174	143	1	+	+	CCONJ
ejpam-1174	143	2	1)b2	1)b2	NUM
ejpam-1174	143	3	.	.	PUNCT
ejpam-1174	144	1	(	(	PUNCT
ejpam-1174	144	2	15	15	NUM
ejpam-1174	144	3	)	)	PUNCT
ejpam-1174	144	4	by	by	ADP
ejpam-1174	144	5	(	(	PUNCT
ejpam-1174	144	6	10	10	NUM
ejpam-1174	144	7	)	)	PUNCT
ejpam-1174	144	8	,	,	PUNCT
ejpam-1174	144	9	we	we	PRON
ejpam-1174	144	10	have	have	VERB
ejpam-1174	144	11	γ(2	γ(2	PROPN
ejpam-1174	144	12	+	+	CCONJ
ejpam-1174	144	13	δ)z−δd−δz	δ)z−δd−δz	NOUN
ejpam-1174	144	14	f	f	X
ejpam-1174	144	15	(	(	PUNCT
ejpam-1174	144	16	z	z	NOUN
ejpam-1174	144	17	)	)	PUNCT
ejpam-1174	144	18	=	=	PUNCT
ejpam-1174	145	1	z	z	NOUN
ejpam-1174	146	1	−	−	NOUN
ejpam-1174	146	2	∞	∞	NUM
ejpam-1174	146	3	∑	∑	PROPN
ejpam-1174	146	4	n=2	n=2	X
ejpam-1174	146	5	ℓ(n	ℓ(n	PROPN
ejpam-1174	146	6	,	,	PUNCT
ejpam-1174	146	7	δ)anzn	δ)anzn	PROPN
ejpam-1174	146	8	,	,	PUNCT
ejpam-1174	146	9	(	(	PUNCT
ejpam-1174	146	10	16	16	NUM
ejpam-1174	146	11	)	)	PUNCT
ejpam-1174	146	12	such	such	ADJ
ejpam-1174	146	13	that	that	SCONJ
ejpam-1174	146	14	ℓ(n	ℓ(n	PROPN
ejpam-1174	146	15	,	,	PUNCT
ejpam-1174	146	16	δ	δ	PROPN
ejpam-1174	146	17	)	)	PUNCT
ejpam-1174	147	1	=	=	SYM
ejpam-1174	147	2	γ(n+	γ(n+	NUM
ejpam-1174	148	1	1)γ(2	1)γ(2	NOUN
ejpam-1174	148	2	+	+	NUM
ejpam-1174	148	3	δ	δ	PROPN
ejpam-1174	148	4	)	)	PUNCT
ejpam-1174	148	5	γ(n+	γ(n+	X
ejpam-1174	149	1	1	1	NUM
ejpam-1174	149	2	+	+	NUM
ejpam-1174	149	3	δ	δ	PROPN
ejpam-1174	149	4	)	)	PUNCT
ejpam-1174	149	5	,	,	PUNCT
ejpam-1174	150	1	n≥	n≥	PROPN
ejpam-1174	150	2	2	2	X
ejpam-1174	150	3	.	.	X
ejpam-1174	151	1	we	we	PRON
ejpam-1174	151	2	know	know	VERB
ejpam-1174	151	3	that	that	SCONJ
ejpam-1174	151	4	ℓ(n	ℓ(n	PROPN
ejpam-1174	151	5	,	,	PUNCT
ejpam-1174	151	6	δ	δ	PROPN
ejpam-1174	151	7	)	)	PUNCT
ejpam-1174	151	8	is	be	AUX
ejpam-1174	151	9	a	a	DET
ejpam-1174	151	10	decreasing	decrease	VERB
ejpam-1174	151	11	function	function	NOUN
ejpam-1174	151	12	of	of	ADP
ejpam-1174	151	13	n	n	NUM
ejpam-1174	151	14	and	and	CCONJ
ejpam-1174	151	15	0	0	NUM
ejpam-1174	151	16	<	<	X
ejpam-1174	151	17	ℓ(n	ℓ(n	PROPN
ejpam-1174	151	18	,	,	PUNCT
ejpam-1174	151	19	δ)≤	δ)≤	NOUN
ejpam-1174	151	20	ℓ(2,δ	ℓ(2,δ	NUM
ejpam-1174	151	21	)	)	PUNCT
ejpam-1174	151	22	=	=	SYM
ejpam-1174	151	23	2	2	NUM
ejpam-1174	151	24	2+δ	2+δ	NUM
ejpam-1174	151	25	.	.	PUNCT
ejpam-1174	152	1	w.	w.	PROPN
ejpam-1174	152	2	atshan	atshan	PROPN
ejpam-1174	152	3	,	,	PUNCT
ejpam-1174	152	4	r.	r.	PROPN
ejpam-1174	152	5	buti	buti	PROPN
ejpam-1174	152	6	/	/	SYM
ejpam-1174	152	7	eur	eur	PROPN
ejpam-1174	152	8	.	.	PUNCT
ejpam-1174	153	1	j.	j.	PROPN
ejpam-1174	153	2	pure	pure	PROPN
ejpam-1174	153	3	appl	appl	PROPN
ejpam-1174	153	4	.	.	PROPN
ejpam-1174	153	5	math	math	PROPN
ejpam-1174	153	6	,	,	PUNCT
ejpam-1174	153	7	4	4	NUM
ejpam-1174	153	8	(	(	PUNCT
ejpam-1174	153	9	2011	2011	NUM
ejpam-1174	153	10	)	)	PUNCT
ejpam-1174	153	11	,	,	PUNCT
ejpam-1174	153	12	162	162	NUM
ejpam-1174	153	13	-	-	SYM
ejpam-1174	153	14	173	173	NUM
ejpam-1174	153	15	170	170	NUM
ejpam-1174	153	16	using	use	VERB
ejpam-1174	153	17	(	(	PUNCT
ejpam-1174	153	18	15	15	NUM
ejpam-1174	153	19	)	)	PUNCT
ejpam-1174	153	20	and	and	CCONJ
ejpam-1174	153	21	(	(	PUNCT
ejpam-1174	153	22	16	16	NUM
ejpam-1174	153	23	)	)	PUNCT
ejpam-1174	153	24	,	,	PUNCT
ejpam-1174	153	25	we	we	PRON
ejpam-1174	153	26	have	have	VERB
ejpam-1174	153	27	|γ(2	|γ(2	NUM
ejpam-1174	153	28	+	+	VERB
ejpam-1174	153	29	δ)z−δd−δz	δ)z−δd−δz	NOUN
ejpam-1174	153	30	f	f	NOUN
ejpam-1174	153	31	(	(	PUNCT
ejpam-1174	153	32	z)|	z)|	ADP
ejpam-1174	153	33	≤	≤	PROPN
ejpam-1174	153	34	|z|+	|z|+	NOUN
ejpam-1174	153	35	ℓ(2,δ)|z|2	ℓ(2,δ)|z|2	NUM
ejpam-1174	153	36	∞	∞	NUM
ejpam-1174	153	37	∑	∑	PUNCT
ejpam-1174	153	38	n=2	n=2	X
ejpam-1174	153	39	an	an	DET
ejpam-1174	153	40	≤	≤	ADJ
ejpam-1174	153	41	|z|+	|z|+	NOUN
ejpam-1174	153	42	2(1−α	2(1−α	NUM
ejpam-1174	153	43	)	)	PUNCT
ejpam-1174	153	44	(	(	PUNCT
ejpam-1174	153	45	2+δ)(1+λ)(2+β	2+δ)(1+λ)(2+β	NUM
ejpam-1174	153	46	−α)(θ	−α)(θ	PROPN
ejpam-1174	153	47	+	+	CCONJ
ejpam-1174	153	48	1)b2	1)b2	NUM
ejpam-1174	153	49	|z|2	|z|2	NOUN
ejpam-1174	153	50	,	,	PUNCT
ejpam-1174	153	51	which	which	PRON
ejpam-1174	153	52	gives	give	VERB
ejpam-1174	153	53	(	(	PUNCT
ejpam-1174	153	54	12	12	NUM
ejpam-1174	153	55	)	)	PUNCT
ejpam-1174	153	56	;	;	PUNCT
ejpam-1174	153	57	we	we	PRON
ejpam-1174	153	58	also	also	ADV
ejpam-1174	153	59	have	have	VERB
ejpam-1174	153	60	|γ(2	|γ(2	NUM
ejpam-1174	153	61	+	+	VERB
ejpam-1174	153	62	δ)z−δd−δz	δ)z−δd−δz	NOUN
ejpam-1174	153	63	f	f	NOUN
ejpam-1174	153	64	(	(	PUNCT
ejpam-1174	153	65	z)|	z)|	INTJ
ejpam-1174	153	66	≥	≥	NOUN
ejpam-1174	153	67	|z|	|z|	VERB
ejpam-1174	153	68	−	−	PROPN
ejpam-1174	153	69	ℓ(2,δ)|z|2	ℓ(2,δ)|z|2	NUM
ejpam-1174	153	70	∞	∞	PROPN
ejpam-1174	153	71	∑	∑	PUNCT
ejpam-1174	153	72	n=2	n=2	X
ejpam-1174	153	73	an	an	DET
ejpam-1174	153	74	≥	≥	NOUN
ejpam-1174	153	75	|z|	|z|	VERB
ejpam-1174	153	76	−	−	NOUN
ejpam-1174	153	77	2(1−α	2(1−α	NUM
ejpam-1174	153	78	)	)	PUNCT
ejpam-1174	153	79	(	(	PUNCT
ejpam-1174	153	80	2+δ)(1+λ)(2+β	2+δ)(1+λ)(2+β	NUM
ejpam-1174	153	81	−α)(θ	−α)(θ	PROPN
ejpam-1174	153	82	+	+	CCONJ
ejpam-1174	153	83	1)b2	1)b2	NUM
ejpam-1174	153	84	|z|2	|z|2	NOUN
ejpam-1174	153	85	,	,	PUNCT
ejpam-1174	153	86	which	which	PRON
ejpam-1174	153	87	gives	give	VERB
ejpam-1174	153	88	(	(	PUNCT
ejpam-1174	153	89	13	13	NUM
ejpam-1174	153	90	)	)	PUNCT
ejpam-1174	153	91	.	.	PUNCT
ejpam-1174	154	1	theorem	theorem	ADJ
ejpam-1174	154	2	4	4	NUM
ejpam-1174	154	3	.	.	PUNCT
ejpam-1174	155	1	let	let	VERB
ejpam-1174	155	2	f	f	PROPN
ejpam-1174	155	3	(	(	PUNCT
ejpam-1174	155	4	z	z	NOUN
ejpam-1174	155	5	)	)	PUNCT
ejpam-1174	155	6	∈wr(λ	∈wr(λ	PROPN
ejpam-1174	155	7	,	,	PUNCT
ejpam-1174	155	8	β	β	X
ejpam-1174	155	9	,	,	PUNCT
ejpam-1174	155	10	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	155	11	)	)	PUNCT
ejpam-1174	155	12	.	.	PUNCT
ejpam-1174	156	1	then	then	ADV
ejpam-1174	156	2	|dδz	|dδz	ADP
ejpam-1174	156	3	f	f	X
ejpam-1174	156	4	(	(	PUNCT
ejpam-1174	156	5	z)|	z)|	ADP
ejpam-1174	156	6	≤	≤	PROPN
ejpam-1174	156	7	|z|1−δ	|z|1−δ	PROPN
ejpam-1174	156	8	γ(2−	γ(2−	PROPN
ejpam-1174	156	9	δ	δ	PROPN
ejpam-1174	156	10	)	)	PUNCT
ejpam-1174	156	11	�	�	PROPN
ejpam-1174	156	12	1	1	NUM
ejpam-1174	156	13	+	+	NUM
ejpam-1174	156	14	2(1−α	2(1−α	NUM
ejpam-1174	156	15	)	)	PUNCT
ejpam-1174	156	16	(	(	PUNCT
ejpam-1174	156	17	2−δ)(1+λ)(2+β	2−δ)(1+λ)(2+β	NUM
ejpam-1174	156	18	−α)(θ	−α)(θ	PROPN
ejpam-1174	156	19	+	+	CCONJ
ejpam-1174	156	20	1)b2	1)b2	NUM
ejpam-1174	156	21	|z|	|z|	NOUN
ejpam-1174	156	22	�	�	PROPN
ejpam-1174	156	23	,	,	PUNCT
ejpam-1174	156	24	(	(	PUNCT
ejpam-1174	156	25	17	17	NUM
ejpam-1174	156	26	)	)	PUNCT
ejpam-1174	156	27	and	and	CCONJ
ejpam-1174	156	28	|dδz	|dδz	PROPN
ejpam-1174	156	29	f	f	X
ejpam-1174	156	30	(	(	PUNCT
ejpam-1174	156	31	z)|	z)|	INTJ
ejpam-1174	156	32	≥	≥	PRON
ejpam-1174	156	33	|z|1−δ	|z|1−δ	PROPN
ejpam-1174	156	34	γ(2−	γ(2−	PROPN
ejpam-1174	156	35	δ	δ	PROPN
ejpam-1174	156	36	)	)	PUNCT
ejpam-1174	156	37	�	�	PROPN
ejpam-1174	156	38	1−	1−	NUM
ejpam-1174	156	39	2(1−α	2(1−α	NUM
ejpam-1174	156	40	)	)	PUNCT
ejpam-1174	156	41	(	(	PUNCT
ejpam-1174	156	42	2−δ)(1+λ)(2+β	2−δ)(1+λ)(2+β	NUM
ejpam-1174	156	43	−α)(θ	−α)(θ	PROPN
ejpam-1174	156	44	+	+	CCONJ
ejpam-1174	156	45	1)b2	1)b2	NUM
ejpam-1174	156	46	|z|	|z|	NOUN
ejpam-1174	156	47	�	�	PROPN
ejpam-1174	156	48	.	.	PUNCT
ejpam-1174	157	1	(	(	PUNCT
ejpam-1174	157	2	18	18	NUM
ejpam-1174	157	3	)	)	PUNCT
ejpam-1174	157	4	the	the	DET
ejpam-1174	157	5	inequalities	inequality	NOUN
ejpam-1174	157	6	(	(	PUNCT
ejpam-1174	157	7	17	17	NUM
ejpam-1174	157	8	)	)	PUNCT
ejpam-1174	157	9	and	and	CCONJ
ejpam-1174	157	10	(	(	PUNCT
ejpam-1174	157	11	18	18	NUM
ejpam-1174	157	12	)	)	PUNCT
ejpam-1174	157	13	are	be	AUX
ejpam-1174	157	14	attained	attain	VERB
ejpam-1174	157	15	for	for	ADP
ejpam-1174	157	16	the	the	DET
ejpam-1174	157	17	function	function	NOUN
ejpam-1174	157	18	f	f	PROPN
ejpam-1174	157	19	(	(	PUNCT
ejpam-1174	157	20	z	z	NOUN
ejpam-1174	157	21	)	)	PUNCT
ejpam-1174	157	22	given	give	VERB
ejpam-1174	157	23	by	by	ADP
ejpam-1174	157	24	(	(	PUNCT
ejpam-1174	157	25	14	14	NUM
ejpam-1174	157	26	)	)	PUNCT
ejpam-1174	157	27	.	.	PUNCT
ejpam-1174	158	1	proof	proof	NOUN
ejpam-1174	158	2	.	.	PUNCT
ejpam-1174	159	1	by	by	ADP
ejpam-1174	159	2	(	(	PUNCT
ejpam-1174	159	3	11	11	NUM
ejpam-1174	159	4	)	)	PUNCT
ejpam-1174	159	5	,	,	PUNCT
ejpam-1174	159	6	we	we	PRON
ejpam-1174	159	7	have	have	VERB
ejpam-1174	159	8	γ(2−	γ(2−	PROPN
ejpam-1174	159	9	δ)zδdδz	δ)zδdδz	ADJ
ejpam-1174	159	10	f	f	X
ejpam-1174	159	11	(	(	PUNCT
ejpam-1174	159	12	z	z	NOUN
ejpam-1174	159	13	)	)	PUNCT
ejpam-1174	159	14	=	=	PUNCT
ejpam-1174	160	1	z	z	NOUN
ejpam-1174	161	1	−	−	NOUN
ejpam-1174	161	2	∞	∞	NUM
ejpam-1174	161	3	∑	∑	PROPN
ejpam-1174	161	4	n=2	n=2	X
ejpam-1174	161	5	γ(n+	γ(n+	NUM
ejpam-1174	161	6	1)γ(2−	1)γ(2−	PROPN
ejpam-1174	161	7	δ	δ	NOUN
ejpam-1174	161	8	)	)	PUNCT
ejpam-1174	161	9	γ(n+	γ(n+	X
ejpam-1174	161	10	1−	1−	NUM
ejpam-1174	161	11	δ	δ	PROPN
ejpam-1174	161	12	)	)	PUNCT
ejpam-1174	161	13	anzn	anzn	NOUN
ejpam-1174	161	14	=	=	SYM
ejpam-1174	161	15	z	z	NOUN
ejpam-1174	162	1	−	−	NOUN
ejpam-1174	162	2	∞	∞	PROPN
ejpam-1174	162	3	∑	∑	PROPN
ejpam-1174	162	4	n=2	n=2	ADV
ejpam-1174	162	5	φ(n	φ(n	NOUN
ejpam-1174	162	6	,	,	PUNCT
ejpam-1174	162	7	δ)anzn	δ)anzn	NOUN
ejpam-1174	162	8	,	,	PUNCT
ejpam-1174	162	9	where	where	SCONJ
ejpam-1174	162	10	φ(n	φ(n	PROPN
ejpam-1174	162	11	,	,	PUNCT
ejpam-1174	162	12	δ	δ	NOUN
ejpam-1174	162	13	)	)	PUNCT
ejpam-1174	162	14	=	=	SYM
ejpam-1174	162	15	γ(n+1)γ(2−δ	γ(n+1)γ(2−δ	PROPN
ejpam-1174	162	16	)	)	PUNCT
ejpam-1174	162	17	γ(n+1−δ	γ(n+1−δ	PUNCT
ejpam-1174	162	18	)	)	PUNCT
ejpam-1174	162	19	.	.	PUNCT
ejpam-1174	163	1	for	for	ADP
ejpam-1174	163	2	n≥	n≥	PROPN
ejpam-1174	163	3	2,φ(n	2,φ(n	NUM
ejpam-1174	163	4	,	,	PUNCT
ejpam-1174	163	5	δ	δ	PROPN
ejpam-1174	163	6	)	)	PUNCT
ejpam-1174	163	7	is	be	AUX
ejpam-1174	163	8	a	a	DET
ejpam-1174	163	9	decreasing	decrease	VERB
ejpam-1174	163	10	function	function	NOUN
ejpam-1174	163	11	of	of	ADP
ejpam-1174	163	12	n	n	CCONJ
ejpam-1174	163	13	,	,	PUNCT
ejpam-1174	163	14	then	then	ADV
ejpam-1174	163	15	φ(n	φ(n	NOUN
ejpam-1174	163	16	,	,	PUNCT
ejpam-1174	163	17	δ)≤	δ)≤	NOUN
ejpam-1174	163	18	φ(2,δ	φ(2,δ	NUM
ejpam-1174	163	19	)	)	PUNCT
ejpam-1174	164	1	=	=	PUNCT
ejpam-1174	164	2	γ(3)γ(2−	γ(3)γ(2−	PROPN
ejpam-1174	164	3	δ	δ	PROPN
ejpam-1174	164	4	)	)	PUNCT
ejpam-1174	164	5	γ(3−	γ(3−	ADP
ejpam-1174	164	6	δ	δ	PROPN
ejpam-1174	164	7	)	)	PUNCT
ejpam-1174	165	1	=	=	PROPN
ejpam-1174	165	2	2γ(2)γ(2−	2γ(2)γ(2−	PROPN
ejpam-1174	165	3	δ	δ	PROPN
ejpam-1174	165	4	)	)	PUNCT
ejpam-1174	165	5	(	(	PUNCT
ejpam-1174	165	6	2−	2−	NUM
ejpam-1174	165	7	δ)γ(2−	δ)γ(2−	PROPN
ejpam-1174	165	8	δ	δ	PROPN
ejpam-1174	165	9	)	)	PUNCT
ejpam-1174	165	10	=	=	SYM
ejpam-1174	166	1	2	2	NUM
ejpam-1174	166	2	2−	2−	NUM
ejpam-1174	166	3	δ	δ	NOUN
ejpam-1174	166	4	.	.	PUNCT
ejpam-1174	167	1	also	also	ADV
ejpam-1174	167	2	by	by	ADP
ejpam-1174	167	3	using	use	VERB
ejpam-1174	167	4	(	(	PUNCT
ejpam-1174	167	5	15	15	NUM
ejpam-1174	167	6	)	)	PUNCT
ejpam-1174	167	7	,	,	PUNCT
ejpam-1174	167	8	we	we	PRON
ejpam-1174	167	9	have	have	VERB
ejpam-1174	167	10	|γ(2−	|γ(2−	PROPN
ejpam-1174	167	11	δ)zδdδz	δ)zδdδz	ADJ
ejpam-1174	167	12	f	f	X
ejpam-1174	167	13	(	(	PUNCT
ejpam-1174	167	14	z)|	z)|	ADP
ejpam-1174	167	15	≤	≤	NUM
ejpam-1174	167	16	|z|+φ(2,δ)|z|2	|z|+φ(2,δ)|z|2	VERB
ejpam-1174	168	1	∞	∞	PROPN
ejpam-1174	168	2	∑	∑	PUNCT
ejpam-1174	168	3	n=2	n=2	X
ejpam-1174	168	4	an	an	DET
ejpam-1174	168	5	≤	≤	ADJ
ejpam-1174	168	6	|z|+	|z|+	NOUN
ejpam-1174	168	7	2(1−α	2(1−α	NUM
ejpam-1174	168	8	)	)	PUNCT
ejpam-1174	168	9	(	(	PUNCT
ejpam-1174	168	10	2−	2−	NUM
ejpam-1174	168	11	δ)(1+λ)(2−	δ)(1+λ)(2−	NOUN
ejpam-1174	168	12	β	β	X
ejpam-1174	168	13	+	+	PROPN
ejpam-1174	168	14	α)(θ	α)(θ	PROPN
ejpam-1174	168	15	+	+	CCONJ
ejpam-1174	168	16	1)b2	1)b2	NUM
ejpam-1174	168	17	|z|2	|z|2	PROPN
ejpam-1174	168	18	.	.	PUNCT
ejpam-1174	169	1	w.	w.	PROPN
ejpam-1174	169	2	atshan	atshan	PROPN
ejpam-1174	169	3	,	,	PUNCT
ejpam-1174	169	4	r.	r.	PROPN
ejpam-1174	169	5	buti	buti	PROPN
ejpam-1174	169	6	/	/	SYM
ejpam-1174	169	7	eur	eur	PROPN
ejpam-1174	169	8	.	.	PUNCT
ejpam-1174	170	1	j.	j.	PROPN
ejpam-1174	170	2	pure	pure	PROPN
ejpam-1174	170	3	appl	appl	PROPN
ejpam-1174	170	4	.	.	PROPN
ejpam-1174	170	5	math	math	PROPN
ejpam-1174	170	6	,	,	PUNCT
ejpam-1174	170	7	4	4	NUM
ejpam-1174	170	8	(	(	PUNCT
ejpam-1174	170	9	2011	2011	NUM
ejpam-1174	170	10	)	)	PUNCT
ejpam-1174	170	11	,	,	PUNCT
ejpam-1174	170	12	162	162	NUM
ejpam-1174	170	13	-	-	SYM
ejpam-1174	170	14	173	173	NUM
ejpam-1174	170	15	171	171	NUM
ejpam-1174	170	16	then	then	ADV
ejpam-1174	170	17	|dδz	|dδz	PROPN
ejpam-1174	170	18	f	f	X
ejpam-1174	170	19	(	(	PUNCT
ejpam-1174	170	20	z)|	z)|	ADP
ejpam-1174	170	21	≤	≤	PROPN
ejpam-1174	170	22	|z|1−δ	|z|1−δ	PROPN
ejpam-1174	170	23	γ(2−	γ(2−	PROPN
ejpam-1174	170	24	δ	δ	PROPN
ejpam-1174	170	25	)	)	PUNCT
ejpam-1174	170	26	�	�	PROPN
ejpam-1174	170	27	1	1	NUM
ejpam-1174	170	28	+	+	NUM
ejpam-1174	170	29	2(1−α	2(1−α	NUM
ejpam-1174	170	30	)	)	PUNCT
ejpam-1174	170	31	(	(	PUNCT
ejpam-1174	170	32	2−δ)(1+λ)(2−β	2−δ)(1+λ)(2−β	NUM
ejpam-1174	171	1	+	+	PRON
ejpam-1174	171	2	α)(θ	α)(θ	VERB
ejpam-1174	171	3	+	+	CCONJ
ejpam-1174	171	4	1)b2	1)b2	NUM
ejpam-1174	171	5	|z|	|z|	NOUN
ejpam-1174	171	6	�	�	PROPN
ejpam-1174	171	7	,	,	PUNCT
ejpam-1174	171	8	and	and	CCONJ
ejpam-1174	171	9	by	by	ADP
ejpam-1174	171	10	the	the	DET
ejpam-1174	171	11	same	same	ADJ
ejpam-1174	171	12	way	way	NOUN
ejpam-1174	171	13	,	,	PUNCT
ejpam-1174	171	14	we	we	PRON
ejpam-1174	171	15	obtain	obtain	VERB
ejpam-1174	171	16	|dδz	|dδz	ADJ
ejpam-1174	171	17	f	f	PROPN
ejpam-1174	171	18	(	(	PUNCT
ejpam-1174	171	19	z)|	z)|	INTJ
ejpam-1174	171	20	≥	≥	PRON
ejpam-1174	171	21	|z|1−δ	|z|1−δ	PROPN
ejpam-1174	171	22	γ(2−	γ(2−	PROPN
ejpam-1174	171	23	δ	δ	PROPN
ejpam-1174	171	24	)	)	PUNCT
ejpam-1174	171	25	�	�	PROPN
ejpam-1174	171	26	1−	1−	NUM
ejpam-1174	171	27	2(1−α	2(1−α	NUM
ejpam-1174	171	28	)	)	PUNCT
ejpam-1174	171	29	(	(	PUNCT
ejpam-1174	171	30	2−δ)(1+λ)(2−β	2−δ)(1+λ)(2−β	NUM
ejpam-1174	172	1	+	+	PRON
ejpam-1174	172	2	α)(θ	α)(θ	VERB
ejpam-1174	172	3	+	+	CCONJ
ejpam-1174	172	4	1)b2	1)b2	NUM
ejpam-1174	172	5	|z|	|z|	NOUN
ejpam-1174	172	6	�	�	PROPN
ejpam-1174	172	7	.	.	PUNCT
ejpam-1174	173	1	corollary	corollary	ADJ
ejpam-1174	173	2	2	2	NUM
ejpam-1174	173	3	.	.	PUNCT
ejpam-1174	174	1	for	for	ADP
ejpam-1174	174	2	every	every	DET
ejpam-1174	174	3	f	f	PROPN
ejpam-1174	174	4	∈wr(λ	∈wr(λ	PROPN
ejpam-1174	174	5	,	,	PUNCT
ejpam-1174	174	6	β	β	PROPN
ejpam-1174	174	7	,	,	PUNCT
ejpam-1174	174	8	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	174	9	)	)	PUNCT
ejpam-1174	174	10	,	,	PUNCT
ejpam-1174	174	11	we	we	PRON
ejpam-1174	174	12	have	have	VERB
ejpam-1174	174	13	|z|2	|z|2	PROPN
ejpam-1174	174	14	2	2	NUM
ejpam-1174	174	15	�	�	PROPN
ejpam-1174	174	16	1−	1−	NUM
ejpam-1174	174	17	2(1−α	2(1−α	NUM
ejpam-1174	174	18	)	)	PUNCT
ejpam-1174	174	19	3(1+λ)(2−	3(1+λ)(2−	PROPN
ejpam-1174	174	20	β	β	X
ejpam-1174	174	21	+	+	PROPN
ejpam-1174	174	22	α)(θ	α)(θ	PROPN
ejpam-1174	174	23	+	+	CCONJ
ejpam-1174	175	1	1)b2	1)b2	NUM
ejpam-1174	175	2	|z|	|z|	NOUN
ejpam-1174	175	3	�	�	PROPN
ejpam-1174	175	4	(	(	PUNCT
ejpam-1174	175	5	19	19	NUM
ejpam-1174	175	6	)	)	PUNCT
ejpam-1174	175	7	≤	≤	NUM
ejpam-1174	175	8	�	�	PROPN
ejpam-1174	175	9	�	�	PROPN
ejpam-1174	175	10	�	�	PROPN
ejpam-1174	175	11	�	�	PROPN
ejpam-1174	175	12	�	�	PROPN
ejpam-1174	175	13	∫	∫	PROPN
ejpam-1174	175	14	z	z	PROPN
ejpam-1174	175	15	0	0	NUM
ejpam-1174	175	16	f	f	PROPN
ejpam-1174	175	17	(	(	PUNCT
ejpam-1174	175	18	t)d	t)d	PROPN
ejpam-1174	175	19	t	t	PROPN
ejpam-1174	175	20	�	�	PROPN
ejpam-1174	175	21	�	�	PROPN
ejpam-1174	175	22	�	�	PROPN
ejpam-1174	175	23	�	�	PROPN
ejpam-1174	175	24	�	�	PROPN
ejpam-1174	175	25	≤	≤	PROPN
ejpam-1174	175	26	|z|2	|z|2	PROPN
ejpam-1174	175	27	2	2	NUM
ejpam-1174	175	28	�	�	PROPN
ejpam-1174	175	29	1	1	NUM
ejpam-1174	175	30	+	+	NUM
ejpam-1174	175	31	2(1−α	2(1−α	NUM
ejpam-1174	175	32	)	)	PUNCT
ejpam-1174	175	33	3(1+λ)(2−	3(1+λ)(2−	NUM
ejpam-1174	175	34	β	β	X
ejpam-1174	175	35	+	+	PROPN
ejpam-1174	175	36	α)(θ	α)(θ	PROPN
ejpam-1174	175	37	+	+	CCONJ
ejpam-1174	175	38	1)b2	1)b2	NUM
ejpam-1174	175	39	|z|	|z|	NOUN
ejpam-1174	175	40	�	�	PROPN
ejpam-1174	175	41	,	,	PUNCT
ejpam-1174	175	42	(	(	PUNCT
ejpam-1174	175	43	20	20	NUM
ejpam-1174	175	44	)	)	PUNCT
ejpam-1174	175	45	and	and	CCONJ
ejpam-1174	175	46	|z|	|z|	VERB
ejpam-1174	175	47	�	�	PROPN
ejpam-1174	175	48	1−	1−	NUM
ejpam-1174	175	49	(	(	PUNCT
ejpam-1174	175	50	1−α	1−α	NUM
ejpam-1174	175	51	)	)	PUNCT
ejpam-1174	175	52	(	(	PUNCT
ejpam-1174	175	53	1+λ)(2−	1+λ)(2−	NUM
ejpam-1174	175	54	β	β	X
ejpam-1174	175	55	+	+	PROPN
ejpam-1174	175	56	α)(θ	α)(θ	PROPN
ejpam-1174	175	57	+	+	CCONJ
ejpam-1174	175	58	1)b2	1)b2	NUM
ejpam-1174	175	59	|z|	|z|	NOUN
ejpam-1174	175	60	�	�	PROPN
ejpam-1174	175	61	≤	≤	PROPN
ejpam-1174	176	1	|	|	ADV
ejpam-1174	176	2	f	f	PROPN
ejpam-1174	176	3	(	(	PUNCT
ejpam-1174	176	4	z)|	z)|	INTJ
ejpam-1174	176	5	(	(	PUNCT
ejpam-1174	176	6	21	21	NUM
ejpam-1174	176	7	)	)	PUNCT
ejpam-1174	176	8	≤	≤	NUM
ejpam-1174	176	9	|z|	|z|	VERB
ejpam-1174	176	10	�	�	PROPN
ejpam-1174	176	11	1	1	NUM
ejpam-1174	176	12	+	+	CCONJ
ejpam-1174	176	13	(	(	PUNCT
ejpam-1174	176	14	1−α	1−α	NUM
ejpam-1174	176	15	)	)	PUNCT
ejpam-1174	176	16	(	(	PUNCT
ejpam-1174	176	17	1+λ)(2−	1+λ)(2−	NUM
ejpam-1174	176	18	β	β	X
ejpam-1174	176	19	+	+	PROPN
ejpam-1174	176	20	α)(θ	α)(θ	PROPN
ejpam-1174	176	21	+	+	CCONJ
ejpam-1174	176	22	1)b2	1)b2	NUM
ejpam-1174	176	23	|z|	|z|	NOUN
ejpam-1174	176	24	�	�	PROPN
ejpam-1174	176	25	,	,	PUNCT
ejpam-1174	176	26	(	(	PUNCT
ejpam-1174	176	27	22	22	X
ejpam-1174	176	28	)	)	PUNCT
ejpam-1174	176	29	proof	proof	NOUN
ejpam-1174	176	30	.	.	PUNCT
ejpam-1174	177	1	(	(	PUNCT
ejpam-1174	177	2	i	i	NOUN
ejpam-1174	177	3	)	)	PUNCT
ejpam-1174	177	4	by	by	ADP
ejpam-1174	177	5	definition	definition	NOUN
ejpam-1174	177	6	2	2	NUM
ejpam-1174	177	7	and	and	CCONJ
ejpam-1174	177	8	theorem	theorem	VERB
ejpam-1174	177	9	3	3	NUM
ejpam-1174	177	10	for	for	ADP
ejpam-1174	177	11	δ	δ	NOUN
ejpam-1174	177	12	=	=	SYM
ejpam-1174	177	13	1	1	NUM
ejpam-1174	177	14	we	we	PRON
ejpam-1174	177	15	have	have	VERB
ejpam-1174	177	16	d−1	d−1	PROPN
ejpam-1174	177	17	z	z	PROPN
ejpam-1174	177	18	f	f	PROPN
ejpam-1174	177	19	(	(	PUNCT
ejpam-1174	177	20	z	z	NOUN
ejpam-1174	177	21	)	)	PUNCT
ejpam-1174	177	22	=	=	SYM
ejpam-1174	178	1	∫	∫	PROPN
ejpam-1174	178	2	z	z	NOUN
ejpam-1174	178	3	0	0	NUM
ejpam-1174	178	4	f	f	PROPN
ejpam-1174	178	5	(	(	PUNCT
ejpam-1174	178	6	t)d	t)d	PROPN
ejpam-1174	178	7	t	t	PROPN
ejpam-1174	178	8	,	,	PUNCT
ejpam-1174	178	9	the	the	DET
ejpam-1174	178	10	result	result	NOUN
ejpam-1174	178	11	is	be	AUX
ejpam-1174	178	12	true	true	ADJ
ejpam-1174	178	13	.	.	PUNCT
ejpam-1174	179	1	(	(	PUNCT
ejpam-1174	179	2	ii	ii	NOUN
ejpam-1174	179	3	)	)	PUNCT
ejpam-1174	179	4	by	by	ADP
ejpam-1174	179	5	definition	definition	NOUN
ejpam-1174	179	6	3	3	NUM
ejpam-1174	179	7	and	and	CCONJ
ejpam-1174	179	8	theorem	theorem	VERB
ejpam-1174	179	9	4	4	NUM
ejpam-1174	179	10	for	for	ADP
ejpam-1174	179	11	δ	δ	PROPN
ejpam-1174	179	12	=	=	SYM
ejpam-1174	179	13	0	0	PROPN
ejpam-1174	179	14	,	,	PUNCT
ejpam-1174	179	15	we	we	PRON
ejpam-1174	179	16	have	have	VERB
ejpam-1174	179	17	d0	d0	NOUN
ejpam-1174	179	18	z	z	PROPN
ejpam-1174	179	19	f	f	X
ejpam-1174	179	20	(	(	PUNCT
ejpam-1174	179	21	z	z	NOUN
ejpam-1174	179	22	)	)	PUNCT
ejpam-1174	179	23	=	=	PUNCT
ejpam-1174	180	1	d	d	X
ejpam-1174	180	2	dz	dz	PROPN
ejpam-1174	180	3	∫	∫	PROPN
ejpam-1174	180	4	z	z	PROPN
ejpam-1174	180	5	0	0	NUM
ejpam-1174	180	6	f	f	PROPN
ejpam-1174	180	7	(	(	PUNCT
ejpam-1174	180	8	t)d	t)d	PROPN
ejpam-1174	180	9	t	t	X
ejpam-1174	180	10	=	=	SYM
ejpam-1174	180	11	f	f	PROPN
ejpam-1174	180	12	(	(	PUNCT
ejpam-1174	180	13	z	z	NOUN
ejpam-1174	180	14	)	)	PUNCT
ejpam-1174	180	15	,	,	PUNCT
ejpam-1174	180	16	the	the	DET
ejpam-1174	180	17	result	result	NOUN
ejpam-1174	180	18	is	be	AUX
ejpam-1174	180	19	true	true	ADJ
ejpam-1174	180	20	.	.	PUNCT
ejpam-1174	181	1	corollary	corollary	ADJ
ejpam-1174	181	2	3	3	NUM
ejpam-1174	181	3	.	.	PUNCT
ejpam-1174	181	4	d−δz	d−δz	NOUN
ejpam-1174	182	1	f	f	PROPN
ejpam-1174	182	2	(	(	PUNCT
ejpam-1174	182	3	z	z	NOUN
ejpam-1174	182	4	)	)	PUNCT
ejpam-1174	182	5	and	and	CCONJ
ejpam-1174	182	6	dδz	dδz	PROPN
ejpam-1174	182	7	f	f	PROPN
ejpam-1174	182	8	(	(	PUNCT
ejpam-1174	182	9	z	z	NOUN
ejpam-1174	182	10	)	)	PUNCT
ejpam-1174	182	11	are	be	AUX
ejpam-1174	182	12	included	include	VERB
ejpam-1174	182	13	in	in	ADP
ejpam-1174	182	14	the	the	DET
ejpam-1174	182	15	disk	disk	NOUN
ejpam-1174	182	16	with	with	ADP
ejpam-1174	182	17	center	center	NOUN
ejpam-1174	182	18	at	at	ADP
ejpam-1174	182	19	the	the	DET
ejpam-1174	182	20	origin	origin	NOUN
ejpam-1174	182	21	and	and	CCONJ
ejpam-1174	182	22	radii	radii	VERB
ejpam-1174	182	23	1	1	NUM
ejpam-1174	182	24	γ(2	γ(2	PROPN
ejpam-1174	182	25	+	+	CCONJ
ejpam-1174	182	26	δ	δ	PROPN
ejpam-1174	182	27	)	)	PUNCT
ejpam-1174	182	28	�	�	PROPN
ejpam-1174	182	29	1	1	NUM
ejpam-1174	182	30	+	+	NUM
ejpam-1174	182	31	2(1−α	2(1−α	NUM
ejpam-1174	182	32	)	)	PUNCT
ejpam-1174	182	33	(	(	PUNCT
ejpam-1174	182	34	2	2	NUM
ejpam-1174	182	35	+	+	X
ejpam-1174	182	36	δ)(1+λ)(2−	δ)(1+λ)(2−	NOUN
ejpam-1174	182	37	β	β	X
ejpam-1174	183	1	+	+	PROPN
ejpam-1174	183	2	α)(θ	α)(θ	PROPN
ejpam-1174	183	3	+	+	CCONJ
ejpam-1174	183	4	1)b2	1)b2	NUM
ejpam-1174	183	5	�	�	PROPN
ejpam-1174	183	6	,	,	PUNCT
ejpam-1174	183	7	and	and	CCONJ
ejpam-1174	183	8	1	1	NUM
ejpam-1174	183	9	γ(2−	γ(2−	PROPN
ejpam-1174	183	10	δ	δ	PROPN
ejpam-1174	183	11	)	)	PUNCT
ejpam-1174	183	12	�	�	PROPN
ejpam-1174	183	13	1	1	NUM
ejpam-1174	183	14	+	+	NUM
ejpam-1174	183	15	2(1−α	2(1−α	NUM
ejpam-1174	183	16	)	)	PUNCT
ejpam-1174	183	17	(	(	PUNCT
ejpam-1174	183	18	2−	2−	NUM
ejpam-1174	183	19	δ)(1+λ)(2−	δ)(1+λ)(2−	NOUN
ejpam-1174	183	20	β	β	X
ejpam-1174	183	21	+	+	PROPN
ejpam-1174	183	22	α)(θ	α)(θ	PROPN
ejpam-1174	183	23	+	+	CCONJ
ejpam-1174	183	24	1)b2	1)b2	NUM
ejpam-1174	183	25	�	�	PROPN
ejpam-1174	183	26	.	.	PUNCT
ejpam-1174	184	1	w.	w.	PROPN
ejpam-1174	184	2	atshan	atshan	PROPN
ejpam-1174	184	3	,	,	PUNCT
ejpam-1174	184	4	r.	r.	PROPN
ejpam-1174	184	5	buti	buti	PROPN
ejpam-1174	184	6	/	/	SYM
ejpam-1174	184	7	eur	eur	PROPN
ejpam-1174	184	8	.	.	PUNCT
ejpam-1174	185	1	j.	j.	PROPN
ejpam-1174	185	2	pure	pure	PROPN
ejpam-1174	185	3	appl	appl	PROPN
ejpam-1174	185	4	.	.	PROPN
ejpam-1174	185	5	math	math	PROPN
ejpam-1174	185	6	,	,	PUNCT
ejpam-1174	185	7	4	4	NUM
ejpam-1174	185	8	(	(	PUNCT
ejpam-1174	185	9	2011	2011	NUM
ejpam-1174	185	10	)	)	PUNCT
ejpam-1174	185	11	,	,	PUNCT
ejpam-1174	185	12	162	162	NUM
ejpam-1174	185	13	-	-	SYM
ejpam-1174	185	14	173	173	NUM
ejpam-1174	185	15	172	172	NUM
ejpam-1174	185	16	4	4	NUM
ejpam-1174	185	17	.	.	PUNCT
ejpam-1174	185	18	hadamard	hadamard	ADJ
ejpam-1174	185	19	product	product	NOUN
ejpam-1174	185	20	theorem	theorem	VERB
ejpam-1174	185	21	5	5	NUM
ejpam-1174	185	22	.	.	PUNCT
ejpam-1174	186	1	let	let	VERB
ejpam-1174	186	2	f	f	PROPN
ejpam-1174	186	3	(	(	PUNCT
ejpam-1174	186	4	z	z	NOUN
ejpam-1174	186	5	)	)	PUNCT
ejpam-1174	186	6	=	=	PUNCT
ejpam-1174	187	1	z	z	NOUN
ejpam-1174	187	2	−	−	NOUN
ejpam-1174	187	3	∞	∞	PROPN
ejpam-1174	187	4	∑	∑	PROPN
ejpam-1174	187	5	n=2	n=2	PART
ejpam-1174	187	6	anzn	anzn	NOUN
ejpam-1174	187	7	,	,	PUNCT
ejpam-1174	187	8	g(z	g(z	PROPN
ejpam-1174	187	9	)	)	PUNCT
ejpam-1174	187	10	=	=	PUNCT
ejpam-1174	188	1	z	z	NOUN
ejpam-1174	188	2	−	−	NOUN
ejpam-1174	188	3	∞	∞	PROPN
ejpam-1174	188	4	∑	∑	ADP
ejpam-1174	188	5	n=2	n=2	PRON
ejpam-1174	188	6	bnzn	bnzn	NOUN
ejpam-1174	188	7	belong	belong	VERB
ejpam-1174	188	8	to	to	ADP
ejpam-1174	188	9	wr(λ	wr(λ	PROPN
ejpam-1174	188	10	,	,	PUNCT
ejpam-1174	188	11	β	β	X
ejpam-1174	188	12	,	,	PUNCT
ejpam-1174	188	13	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	188	14	)	)	PUNCT
ejpam-1174	188	15	.	.	PUNCT
ejpam-1174	189	1	then	then	ADV
ejpam-1174	189	2	the	the	DET
ejpam-1174	189	3	hadamard	hadamard	ADJ
ejpam-1174	189	4	product	product	NOUN
ejpam-1174	189	5	of	of	ADP
ejpam-1174	189	6	f	f	PROPN
ejpam-1174	189	7	and	and	CCONJ
ejpam-1174	189	8	g	g	PROPN
ejpam-1174	189	9	given	give	VERB
ejpam-1174	189	10	by	by	ADP
ejpam-1174	189	11	(	(	PUNCT
ejpam-1174	189	12	f	f	PROPN
ejpam-1174	189	13	∗	∗	PROPN
ejpam-1174	189	14	g)(z	g)(z	PUNCT
ejpam-1174	189	15	)	)	PUNCT
ejpam-1174	189	16	=	=	SYM
ejpam-1174	190	1	z	z	NOUN
ejpam-1174	191	1	−	−	NOUN
ejpam-1174	191	2	∞	∞	NUM
ejpam-1174	191	3	∑	∑	PROPN
ejpam-1174	191	4	n=2	n=2	PRON
ejpam-1174	191	5	an	an	DET
ejpam-1174	191	6	bnzn	bnzn	NOUN
ejpam-1174	191	7	belongs	belong	VERB
ejpam-1174	191	8	to	to	PART
ejpam-1174	191	9	wr(λ	wr(λ	ADP
ejpam-1174	191	10	,	,	PUNCT
ejpam-1174	191	11	β	β	X
ejpam-1174	191	12	,	,	PUNCT
ejpam-1174	191	13	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	191	14	)	)	PUNCT
ejpam-1174	191	15	.	.	PUNCT
ejpam-1174	192	1	proof	proof	NOUN
ejpam-1174	192	2	.	.	PUNCT
ejpam-1174	193	1	since	since	SCONJ
ejpam-1174	193	2	f	f	PROPN
ejpam-1174	193	3	and	and	CCONJ
ejpam-1174	193	4	g	g	PROPN
ejpam-1174	193	5	∈wr(λ	∈wr(λ	PROPN
ejpam-1174	193	6	,	,	PUNCT
ejpam-1174	193	7	β	β	PROPN
ejpam-1174	193	8	,	,	PUNCT
ejpam-1174	193	9	α,µ,θ	α,µ,θ	PROPN
ejpam-1174	193	10	)	)	PUNCT
ejpam-1174	193	11	,	,	PUNCT
ejpam-1174	193	12	we	we	PRON
ejpam-1174	193	13	have	have	VERB
ejpam-1174	193	14	∞	∞	PROPN
ejpam-1174	193	15	∑	∑	PUNCT
ejpam-1174	193	16	n=2	n=2	X
ejpam-1174	193	17	�	�	PROPN
ejpam-1174	193	18	(	(	PUNCT
ejpam-1174	193	19	1−λ+	1−λ+	NUM
ejpam-1174	193	20	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	193	21	+	+	CCONJ
ejpam-1174	193	22	β)−	β)−	PROPN
ejpam-1174	193	23	(	(	PUNCT
ejpam-1174	193	24	α+β)]k(n,µ,θ)bn	α+β)]k(n,µ,θ)bn	PROPN
ejpam-1174	193	25	1−α	1−α	NUM
ejpam-1174	193	26	�	�	PROPN
ejpam-1174	193	27	an	an	DET
ejpam-1174	193	28	≤	≤	NUM
ejpam-1174	193	29	1	1	NUM
ejpam-1174	193	30	and	and	CCONJ
ejpam-1174	193	31	∞	∞	NUM
ejpam-1174	193	32	∑	∑	CCONJ
ejpam-1174	193	33	n=2	n=2	X
ejpam-1174	193	34	�	�	PROPN
ejpam-1174	193	35	(	(	PUNCT
ejpam-1174	193	36	1−λ+	1−λ+	NUM
ejpam-1174	193	37	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	193	38	+	+	PROPN
ejpam-1174	193	39	β)−	β)−	PROPN
ejpam-1174	193	40	(	(	PUNCT
ejpam-1174	193	41	α+β)]k(n,µ,θ)an	α+β)]k(n,µ,θ)an	NUM
ejpam-1174	193	42	1−α	1−α	NUM
ejpam-1174	193	43	�	�	PROPN
ejpam-1174	193	44	bn	bn	NOUN
ejpam-1174	193	45	≤	≤	NUM
ejpam-1174	193	46	1	1	NUM
ejpam-1174	193	47	and	and	CCONJ
ejpam-1174	193	48	by	by	ADP
ejpam-1174	193	49	applying	apply	VERB
ejpam-1174	193	50	the	the	DET
ejpam-1174	193	51	cauchyschwarz	cauchyschwarz	PROPN
ejpam-1174	193	52	inequality	inequality	NOUN
ejpam-1174	193	53	,	,	PUNCT
ejpam-1174	193	54	we	we	PRON
ejpam-1174	193	55	have	have	AUX
ejpam-1174	193	56	∞	∞	PROPN
ejpam-1174	193	57	∑	∑	PUNCT
ejpam-1174	193	58	n=2	n=2	PRON
ejpam-1174	193	59			NOUN
ejpam-1174	193	60			NOUN
ejpam-1174	193	61	(	(	PUNCT
ejpam-1174	193	62	1−λ+	1−λ+	NUM
ejpam-1174	193	63	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	193	64	+	+	PROPN
ejpam-1174	193	65	β)−	β)−	ADJ
ejpam-1174	193	66	(	(	PUNCT
ejpam-1174	193	67	α+	α+	X
ejpam-1174	193	68	β)]k(n,µ,θ	β)]k(n,µ,θ	NOUN
ejpam-1174	193	69	)	)	PUNCT
ejpam-1174	193	70	p	p	NOUN
ejpam-1174	193	71	an	an	DET
ejpam-1174	193	72	bn	bn	ADJ
ejpam-1174	193	73	1−α	1−α	NUM
ejpam-1174	194	1			PROPN
ejpam-1174	194	2			PROPN
ejpam-1174	194	3	p	p	NOUN
ejpam-1174	194	4	an	an	DET
ejpam-1174	194	5	bn	bn	NOUN
ejpam-1174	194	6	≤	≤	NUM
ejpam-1174	194	7	∞	∞	PROPN
ejpam-1174	194	8	∑	∑	PUNCT
ejpam-1174	194	9	n=2	n=2	X
ejpam-1174	194	10	�	�	PROPN
ejpam-1174	194	11	(	(	PUNCT
ejpam-1174	194	12	1−λ+	1−λ+	NUM
ejpam-1174	194	13	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	194	14	+	+	CCONJ
ejpam-1174	194	15	β)−	β)−	PROPN
ejpam-1174	194	16	(	(	PUNCT
ejpam-1174	194	17	α+β)]k(n,µ,θ)bn	α+β)]k(n,µ,θ)bn	PROPN
ejpam-1174	194	18	1−α	1−α	NUM
ejpam-1174	194	19	�	�	PROPN
ejpam-1174	194	20	an	an	DET
ejpam-1174	194	21	!	!	NOUN
ejpam-1174	194	22	1/2	1/2	NUM
ejpam-1174	194	23	×	×	NOUN
ejpam-1174	194	24	∞	∞	PROPN
ejpam-1174	194	25	∑	∑	PROPN
ejpam-1174	194	26	n=2	n=2	X
ejpam-1174	194	27	�	�	PROPN
ejpam-1174	194	28	(	(	PUNCT
ejpam-1174	194	29	1−λ+	1−λ+	NUM
ejpam-1174	194	30	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	194	31	+	+	PROPN
ejpam-1174	194	32	β)−	β)−	ADJ
ejpam-1174	194	33	(	(	PUNCT
ejpam-1174	194	34	α+	α+	X
ejpam-1174	194	35	β)]k(n,µ,θ)an	β)]k(n,µ,θ)an	PROPN
ejpam-1174	194	36	1−α	1−α	NUM
ejpam-1174	194	37	�	�	PROPN
ejpam-1174	194	38	bn	bn	NOUN
ejpam-1174	194	39	!	!	NUM
ejpam-1174	194	40	1/2	1/2	NUM
ejpam-1174	194	41	.	.	PUNCT
ejpam-1174	195	1	however	however	ADV
ejpam-1174	195	2	,	,	PUNCT
ejpam-1174	195	3	we	we	PRON
ejpam-1174	195	4	obtain	obtain	VERB
ejpam-1174	195	5	∞	∞	PROPN
ejpam-1174	195	6	∑	∑	PUNCT
ejpam-1174	195	7	n=2	n=2	ADV
ejpam-1174	195	8			NOUN
ejpam-1174	195	9			NOUN
ejpam-1174	195	10	(	(	PUNCT
ejpam-1174	195	11	1−λ+	1−λ+	NUM
ejpam-1174	195	12	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	195	13	+	+	PROPN
ejpam-1174	195	14	β)−	β)−	ADJ
ejpam-1174	195	15	(	(	PUNCT
ejpam-1174	195	16	α+	α+	X
ejpam-1174	195	17	β)]k(n,µ,θ	β)]k(n,µ,θ	NOUN
ejpam-1174	195	18	)	)	PUNCT
ejpam-1174	195	19	p	p	NOUN
ejpam-1174	195	20	an	an	DET
ejpam-1174	195	21	bn	bn	ADJ
ejpam-1174	195	22	1−α	1−α	NUM
ejpam-1174	196	1			PROPN
ejpam-1174	196	2			PROPN
ejpam-1174	196	3	p	p	NOUN
ejpam-1174	196	4	an	an	DET
ejpam-1174	196	5	bn	bn	NOUN
ejpam-1174	196	6	≤	≤	NUM
ejpam-1174	196	7	1	1	NUM
ejpam-1174	196	8	.	.	PUNCT
ejpam-1174	197	1	now	now	ADV
ejpam-1174	197	2	,	,	PUNCT
ejpam-1174	197	3	we	we	PRON
ejpam-1174	197	4	want	want	VERB
ejpam-1174	197	5	to	to	PART
ejpam-1174	197	6	prove	prove	VERB
ejpam-1174	197	7	∞	∞	PROPN
ejpam-1174	197	8	∑	∑	ADV
ejpam-1174	197	9	n=2	n=2	X
ejpam-1174	197	10	�	�	PROPN
ejpam-1174	197	11	(	(	PUNCT
ejpam-1174	197	12	1−λ+	1−λ+	NUM
ejpam-1174	197	13	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	197	14	+	+	PROPN
ejpam-1174	197	15	β)−	β)−	ADJ
ejpam-1174	197	16	(	(	PUNCT
ejpam-1174	197	17	α+	α+	X
ejpam-1174	197	18	β)]k(n,µ,θ	β)]k(n,µ,θ	NOUN
ejpam-1174	197	19	)	)	PUNCT
ejpam-1174	197	20	1−α	1−α	NUM
ejpam-1174	197	21	�	�	PROPN
ejpam-1174	197	22	an	an	DET
ejpam-1174	197	23	bn	bn	NOUN
ejpam-1174	197	24	≤	≤	NUM
ejpam-1174	197	25	1	1	NUM
ejpam-1174	197	26	.	.	PUNCT
ejpam-1174	198	1	since	since	SCONJ
ejpam-1174	198	2	∞	∞	PROPN
ejpam-1174	198	3	∑	∑	CCONJ
ejpam-1174	198	4	n=2	n=2	X
ejpam-1174	198	5	�	�	PROPN
ejpam-1174	198	6	(	(	PUNCT
ejpam-1174	198	7	1−λ+	1−λ+	NUM
ejpam-1174	198	8	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	198	9	+	+	PROPN
ejpam-1174	198	10	β)−	β)−	ADJ
ejpam-1174	198	11	(	(	PUNCT
ejpam-1174	198	12	α+	α+	X
ejpam-1174	198	13	β)]k(n,µ,θ	β)]k(n,µ,θ	NOUN
ejpam-1174	198	14	)	)	PUNCT
ejpam-1174	198	15	1−α	1−α	NUM
ejpam-1174	198	16	�	�	PROPN
ejpam-1174	198	17	an	an	DET
ejpam-1174	198	18	bn	bn	NOUN
ejpam-1174	198	19	=	=	SYM
ejpam-1174	198	20	∞	∞	PROPN
ejpam-1174	198	21	∑	∑	PUNCT
ejpam-1174	198	22	n=2	n=2	PRON
ejpam-1174	198	23			PROPN
ejpam-1174	198	24			NOUN
ejpam-1174	198	25	(	(	PUNCT
ejpam-1174	198	26	1−λ+	1−λ+	NUM
ejpam-1174	198	27	nλ)[n(1	nλ)[n(1	PRON
ejpam-1174	198	28	+	+	PROPN
ejpam-1174	198	29	β)−	β)−	ADJ
ejpam-1174	198	30	(	(	PUNCT
ejpam-1174	198	31	α+	α+	X
ejpam-1174	198	32	β)]k(n,µ,θ	β)]k(n,µ,θ	NOUN
ejpam-1174	198	33	)	)	PUNCT
ejpam-1174	198	34	p	p	NOUN
ejpam-1174	198	35	an	an	DET
ejpam-1174	198	36	bn	bn	ADJ
ejpam-1174	198	37	1−α	1−α	NUM
ejpam-1174	199	1			PROPN
ejpam-1174	199	2			PROPN
ejpam-1174	199	3	p	p	NOUN
ejpam-1174	199	4	an	an	DET
ejpam-1174	199	5	bn	bn	NOUN
ejpam-1174	199	6	.	.	PUNCT
ejpam-1174	200	1	hence	hence	ADV
ejpam-1174	200	2	,	,	PUNCT
ejpam-1174	200	3	we	we	PRON
ejpam-1174	200	4	get	get	VERB
ejpam-1174	200	5	the	the	DET
ejpam-1174	200	6	required	require	VERB
ejpam-1174	200	7	result	result	NOUN
ejpam-1174	200	8	.	.	PUNCT
ejpam-1174	201	1	references	reference	NOUN
ejpam-1174	201	2	173	173	NUM
ejpam-1174	201	3	references	reference	NOUN
ejpam-1174	201	4	[	[	X
ejpam-1174	201	5	1	1	NUM
ejpam-1174	201	6	]	]	PUNCT
ejpam-1174	201	7	e.	e.	PROPN
ejpam-1174	201	8	s.	s.	PROPN
ejpam-1174	201	9	aqlan	aqlan	PROPN
ejpam-1174	201	10	,	,	PUNCT
ejpam-1174	201	11	some	some	DET
ejpam-1174	201	12	problems	problem	NOUN
ejpam-1174	201	13	connected	connect	VERB
ejpam-1174	201	14	with	with	ADP
ejpam-1174	201	15	geometric	geometric	ADJ
ejpam-1174	201	16	function	function	NOUN
ejpam-1174	201	17	theory	theory	NOUN
ejpam-1174	201	18	,	,	PUNCT
ejpam-1174	201	19	ph.d	ph.d	PROPN
ejpam-1174	201	20	.	.	PUNCT
ejpam-1174	202	1	thesis	thesis	NOUN
ejpam-1174	202	2	,	,	PUNCT
ejpam-1174	202	3	pune	pune	PROPN
ejpam-1174	202	4	university	university	NOUN
ejpam-1174	202	5	,	,	PUNCT
ejpam-1174	202	6	pune	pune	NOUN
ejpam-1174	202	7	(	(	PUNCT
ejpam-1174	202	8	unpublished	unpublished	ADJ
ejpam-1174	202	9	)	)	PUNCT
ejpam-1174	202	10	,	,	PUNCT
ejpam-1174	202	11	(	(	PUNCT
ejpam-1174	202	12	2004	2004	NUM
ejpam-1174	202	13	)	)	PUNCT
ejpam-1174	202	14	.	.	PUNCT
ejpam-1174	203	1	[	[	X
ejpam-1174	203	2	2	2	X
ejpam-1174	203	3	]	]	PUNCT
ejpam-1174	203	4	s.	s.	PROPN
ejpam-1174	203	5	owa	owa	PROPN
ejpam-1174	203	6	,	,	PUNCT
ejpam-1174	203	7	on	on	ADP
ejpam-1174	203	8	the	the	DET
ejpam-1174	203	9	distortion	distortion	NOUN
ejpam-1174	203	10	theorems	theorem	NOUN
ejpam-1174	203	11	,	,	PUNCT
ejpam-1174	203	12	kyungpook	kyungpook	NOUN
ejpam-1174	203	13	math	math	NOUN
ejpam-1174	203	14	.	.	PUNCT
ejpam-1174	204	1	j.	j.	PROPN
ejpam-1174	204	2	,	,	PUNCT
ejpam-1174	204	3	18	18	NUM
ejpam-1174	204	4	:	:	SYM
ejpam-1174	204	5	53	53	NUM
ejpam-1174	204	6	-	-	SYM
ejpam-1174	204	7	59	59	NUM
ejpam-1174	204	8	,	,	PUNCT
ejpam-1174	204	9	1978	1978	NUM
ejpam-1174	204	10	.	.	PUNCT
ejpam-1174	205	1	[	[	X
ejpam-1174	205	2	3	3	X
ejpam-1174	205	3	]	]	X
ejpam-1174	205	4	h.	h.	PROPN
ejpam-1174	205	5	m.	m.	PROPN
ejpam-1174	205	6	srivastava	srivastava	PROPN
ejpam-1174	205	7	and	and	CCONJ
ejpam-1174	205	8	r.	r.	PROPN
ejpam-1174	205	9	g.	g.	PROPN
ejpam-1174	205	10	buschman	buschman	PROPN
ejpam-1174	205	11	,	,	PUNCT
ejpam-1174	205	12	convolution	convolution	NOUN
ejpam-1174	205	13	integral	integral	ADJ
ejpam-1174	205	14	equation	equation	NOUN
ejpam-1174	205	15	with	with	ADP
ejpam-1174	205	16	special	special	ADJ
ejpam-1174	205	17	function	function	NOUN
ejpam-1174	205	18	kernels	kernel	NOUN
ejpam-1174	205	19	,	,	PUNCT
ejpam-1174	205	20	john	john	PROPN
ejpam-1174	205	21	wiley	wiley	PROPN
ejpam-1174	205	22	and	and	CCONJ
ejpam-1174	205	23	sons	son	NOUN
ejpam-1174	205	24	,	,	PUNCT
ejpam-1174	205	25	new	new	PROPN
ejpam-1174	205	26	york	york	PROPN
ejpam-1174	205	27	,	,	PUNCT
ejpam-1174	205	28	london	london	PROPN
ejpam-1174	205	29	,	,	PUNCT
ejpam-1174	205	30	sydney	sydney	PROPN
ejpam-1174	205	31	and	and	CCONJ
ejpam-1174	205	32	toronto	toronto	PROPN
ejpam-1174	205	33	,	,	PUNCT
ejpam-1174	205	34	1977	1977	NUM
ejpam-1174	205	35	.	.	PUNCT
ejpam-1174	206	1	[	[	X
ejpam-1174	206	2	4	4	X
ejpam-1174	206	3	]	]	X
ejpam-1174	206	4	h.	h.	PROPN
ejpam-1174	206	5	m.	m.	PROPN
ejpam-1174	206	6	srivastava	srivastava	PROPN
ejpam-1174	206	7	and	and	CCONJ
ejpam-1174	206	8	s.	s.	PROPN
ejpam-1174	206	9	owa	owa	PROPN
ejpam-1174	206	10	,	,	PUNCT
ejpam-1174	206	11	an	an	DET
ejpam-1174	206	12	application	application	NOUN
ejpam-1174	206	13	of	of	ADP
ejpam-1174	206	14	the	the	DET
ejpam-1174	206	15	fractional	fractional	ADJ
ejpam-1174	206	16	derivative	derivative	ADJ
ejpam-1174	206	17	,	,	PUNCT
ejpam-1174	206	18	math	math	NOUN
ejpam-1174	206	19	.	.	PUNCT
ejpam-1174	207	1	japon	japon	PROPN
ejpam-1174	207	2	,	,	PUNCT
ejpam-1174	207	3	29:384	29:384	NUM
ejpam-1174	207	4	-	-	SYM
ejpam-1174	207	5	389	389	NUM
ejpam-1174	207	6	,	,	PUNCT
ejpam-1174	207	7	1984	1984	NUM
ejpam-1174	207	8	.	.	PUNCT
ejpam-1174	208	1	[	[	X
ejpam-1174	208	2	5	5	X
ejpam-1174	208	3	]	]	PUNCT
ejpam-1174	208	4	h.	h.	PROPN
ejpam-1174	208	5	m.	m.	PROPN
ejpam-1174	208	6	srivastava	srivastava	PROPN
ejpam-1174	208	7	and	and	CCONJ
ejpam-1174	208	8	s.	s.	PROPN
ejpam-1174	208	9	owa	owa	PROPN
ejpam-1174	208	10	,	,	PUNCT
ejpam-1174	208	11	(	(	PUNCT
ejpam-1174	208	12	editors	editor	NOUN
ejpam-1174	208	13	)	)	PUNCT
ejpam-1174	208	14	,	,	PUNCT
ejpam-1174	208	15	univalent	univalent	ADJ
ejpam-1174	208	16	functions	function	NOUN
ejpam-1174	208	17	,	,	PUNCT
ejpam-1174	208	18	fractional	fractional	ADJ
ejpam-1174	208	19	calculus	calculus	NOUN
ejpam-1174	208	20	and	and	CCONJ
ejpam-1174	208	21	their	their	PRON
ejpam-1174	208	22	applications	application	NOUN
ejpam-1174	208	23	,	,	PUNCT
ejpam-1174	208	24	halsted	halsted	ADJ
ejpam-1174	208	25	press	press	NOUN
ejpam-1174	208	26	(	(	PUNCT
ejpam-1174	208	27	ellis	ellis	PROPN
ejpam-1174	208	28	harwood	harwood	PROPN
ejpam-1174	208	29	limited	limit	VERB
ejpam-1174	208	30	,	,	PUNCT
ejpam-1174	208	31	chichester	chichester	PROPN
ejpam-1174	208	32	)	)	PUNCT
ejpam-1174	208	33	,	,	PUNCT
ejpam-1174	208	34	john	john	PROPN
ejpam-1174	208	35	wiley	wiley	PROPN
ejpam-1174	208	36	and	and	CCONJ
ejpam-1174	208	37	sons	son	NOUN
ejpam-1174	208	38	,	,	PUNCT
ejpam-1174	208	39	new	new	PROPN
ejpam-1174	208	40	york	york	PROPN
ejpam-1174	208	41	,	,	PUNCT
ejpam-1174	208	42	chichester	chichester	PROPN
ejpam-1174	208	43	,	,	PUNCT
ejpam-1174	208	44	brisbane	brisbane	NOUN
ejpam-1174	208	45	and	and	CCONJ
ejpam-1174	208	46	toronto	toronto	PROPN
ejpam-1174	208	47	,	,	PUNCT
ejpam-1174	208	48	1989	1989	NUM
ejpam-1174	208	49	.	.	PUNCT