id	sid	tid	token	lemma	pos
ejpam-493	1	1	6_xxx_dziok.dvi	6_xxx_dziok.dvi	NUM
ejpam-493	1	2	european	european	ADJ
ejpam-493	1	3	journal	journal	NOUN
ejpam-493	1	4	of	of	ADP
ejpam-493	1	5	pure	pure	ADJ
ejpam-493	1	6	and	and	CCONJ
ejpam-493	1	7	applied	apply	VERB
ejpam-493	1	8	mathematics	mathematic	NOUN
ejpam-493	1	9	vol	vol	NOUN
ejpam-493	1	10	.	.	PROPN
ejpam-493	2	1	2	2	NUM
ejpam-493	2	2	,	,	PUNCT
ejpam-493	2	3	no	no	INTJ
ejpam-493	2	4	.	.	NOUN
ejpam-493	2	5	4	4	NUM
ejpam-493	2	6	,	,	PUNCT
ejpam-493	2	7	2009	2009	NUM
ejpam-493	2	8	,	,	PUNCT
ejpam-493	2	9	(	(	PUNCT
ejpam-493	2	10	544	544	NUM
ejpam-493	2	11	-	-	SYM
ejpam-493	2	12	553	553	NUM
ejpam-493	2	13	)	)	PUNCT
ejpam-493	2	14	issn	issn	PROPN
ejpam-493	2	15	1307	1307	NUM
ejpam-493	2	16	-	-	SYM
ejpam-493	2	17	5543	5543	NUM
ejpam-493	2	18	–	–	PUNCT
ejpam-493	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-493	2	20	inclusion	inclusion	NOUN
ejpam-493	2	21	and	and	CCONJ
ejpam-493	2	22	neighborhood	neighborhood	NOUN
ejpam-493	2	23	properties	property	NOUN
ejpam-493	2	24	of	of	ADP
ejpam-493	2	25	certain	certain	ADJ
ejpam-493	2	26	subclasses	subclass	NOUN
ejpam-493	2	27	of	of	ADP
ejpam-493	2	28	analytic	analytic	ADJ
ejpam-493	2	29	and	and	CCONJ
ejpam-493	2	30	multivalent	multivalent	NOUN
ejpam-493	2	31	functions	function	NOUN
ejpam-493	2	32	m.	m.	NOUN
ejpam-493	3	1	k.	k.	PROPN
ejpam-493	3	2	aouf1	aouf1	PROPN
ejpam-493	4	1	and	and	CCONJ
ejpam-493	4	2	j.	j.	PROPN
ejpam-493	4	3	dziok2∗	dziok2∗	PROPN
ejpam-493	4	4	1	1	NUM
ejpam-493	4	5	department	department	NOUN
ejpam-493	4	6	of	of	ADP
ejpam-493	4	7	mathematics	mathematic	NOUN
ejpam-493	4	8	,	,	PUNCT
ejpam-493	4	9	faculty	faculty	NOUN
ejpam-493	4	10	of	of	ADP
ejpam-493	4	11	science	science	NOUN
ejpam-493	4	12	,	,	PUNCT
ejpam-493	4	13	mansoura	mansoura	PROPN
ejpam-493	4	14	university	university	NOUN
ejpam-493	4	15	,	,	PUNCT
ejpam-493	4	16	mansoura	mansoura	NOUN
ejpam-493	4	17	35516	35516	NUM
ejpam-493	4	18	,	,	PUNCT
ejpam-493	4	19	egypt	egypt	PROPN
ejpam-493	4	20	2	2	NUM
ejpam-493	4	21	institute	institute	PROPN
ejpam-493	4	22	of	of	ADP
ejpam-493	4	23	mathematics	mathematics	PROPN
ejpam-493	4	24	,	,	PUNCT
ejpam-493	4	25	university	university	NOUN
ejpam-493	4	26	of	of	ADP
ejpam-493	4	27	rzeszow	rzeszow	NOUN
ejpam-493	4	28	,	,	PUNCT
ejpam-493	4	29	ul	ul	INTJ
ejpam-493	4	30	.	.	PUNCT
ejpam-493	5	1	rejtana	rejtana	PROPN
ejpam-493	5	2	16a	16a	NOUN
ejpam-493	5	3	,	,	PUNCT
ejpam-493	5	4	pl-35	pl-35	ADV
ejpam-493	5	5	-	-	SYM
ejpam-493	5	6	310	310	NUM
ejpam-493	5	7	rzeszow	rzeszow	NOUN
ejpam-493	5	8	,	,	PUNCT
ejpam-493	5	9	poland	poland	PROPN
ejpam-493	5	10	abstract	abstract	NOUN
ejpam-493	5	11	.	.	PUNCT
ejpam-493	6	1	in	in	ADP
ejpam-493	6	2	the	the	DET
ejpam-493	6	3	paper	paper	NOUN
ejpam-493	6	4	we	we	PRON
ejpam-493	6	5	introduce	introduce	VERB
ejpam-493	6	6	and	and	CCONJ
ejpam-493	6	7	investigate	investigate	VERB
ejpam-493	6	8	two	two	NUM
ejpam-493	6	9	new	new	ADJ
ejpam-493	6	10	subclasses	subclass	NOUN
ejpam-493	6	11	of	of	ADP
ejpam-493	6	12	multivalently	multivalently	ADJ
ejpam-493	6	13	analytic	analytic	ADJ
ejpam-493	6	14	functions	function	NOUN
ejpam-493	6	15	defined	define	VERB
ejpam-493	6	16	by	by	ADP
ejpam-493	6	17	dziok	dziok	NOUN
ejpam-493	6	18	-	-	PUNCT
ejpam-493	6	19	srivastava	srivastava	PROPN
ejpam-493	6	20	operator	operator	NOUN
ejpam-493	6	21	.	.	PUNCT
ejpam-493	7	1	in	in	ADP
ejpam-493	7	2	this	this	DET
ejpam-493	7	3	paper	paper	NOUN
ejpam-493	7	4	we	we	PRON
ejpam-493	7	5	obtain	obtain	VERB
ejpam-493	7	6	the	the	DET
ejpam-493	7	7	coefficient	coefficient	NOUN
ejpam-493	7	8	estimates	estimate	NOUN
ejpam-493	7	9	and	and	CCONJ
ejpam-493	7	10	the	the	DET
ejpam-493	7	11	consequent	consequent	ADJ
ejpam-493	7	12	inclusion	inclusion	NOUN
ejpam-493	7	13	relationships	relationship	NOUN
ejpam-493	7	14	involving	involve	VERB
ejpam-493	7	15	the	the	DET
ejpam-493	7	16	neighborhoods	neighborhood	NOUN
ejpam-493	7	17	of	of	ADP
ejpam-493	7	18	the	the	DET
ejpam-493	7	19	analytic	analytic	ADJ
ejpam-493	7	20	functions	function	NOUN
ejpam-493	7	21	.	.	PUNCT
ejpam-493	8	1	2000	2000	NUM
ejpam-493	8	2	mathematics	mathematic	NOUN
ejpam-493	8	3	subject	subject	NOUN
ejpam-493	8	4	classifications	classification	NOUN
ejpam-493	8	5	:	:	PUNCT
ejpam-493	8	6	30c45	30c45	NUM
ejpam-493	8	7	,	,	PUNCT
ejpam-493	8	8	25a33	25a33	NUM
ejpam-493	8	9	.	.	PUNCT
ejpam-493	9	1	key	key	ADJ
ejpam-493	9	2	words	word	NOUN
ejpam-493	9	3	and	and	CCONJ
ejpam-493	9	4	phrases	phrase	NOUN
ejpam-493	9	5	:	:	PUNCT
ejpam-493	9	6	analytic	analytic	ADJ
ejpam-493	9	7	functions	function	NOUN
ejpam-493	9	8	,	,	PUNCT
ejpam-493	9	9	p	p	ADJ
ejpam-493	9	10	-	-	PUNCT
ejpam-493	9	11	valent	valent	NOUN
ejpam-493	9	12	functions	function	NOUN
ejpam-493	9	13	,	,	PUNCT
ejpam-493	9	14	the	the	DET
ejpam-493	9	15	,	,	PUNCT
ejpam-493	9	16	dziok	dziok	NOUN
ejpam-493	9	17	-	-	PUNCT
ejpam-493	9	18	srivastava	srivastava	PROPN
ejpam-493	9	19	operator	operator	NOUN
ejpam-493	9	20	,	,	PUNCT
ejpam-493	9	21	neighborhood	neighborhood	NOUN
ejpam-493	9	22	.	.	PUNCT
ejpam-493	10	1	∗corresponding	∗corresponde	VERB
ejpam-493	10	2	author	author	NOUN
ejpam-493	10	3	.	.	PUNCT
ejpam-493	11	1	email	email	NOUN
ejpam-493	11	2	addresses	address	NOUN
ejpam-493	11	3	:	:	PUNCT
ejpam-493	11	4	mkaouf127	mkaouf127	PROPN
ejpam-493	11	5	�	�	PROPN
ejpam-493	11	6	yahoo	yahoo	PROPN
ejpam-493	11	7	.	.	PUNCT
ejpam-493	12	1	om	om	PROPN
ejpam-493	12	2	(	(	PUNCT
ejpam-493	12	3	m.	m.	PROPN
ejpam-493	12	4	aouf	aouf	PROPN
ejpam-493	12	5	)	)	PUNCT
ejpam-493	12	6	,	,	PUNCT
ejpam-493	12	7	jdziok�univ.rzeszow.pl	jdziok�univ.rzeszow.pl	PROPN
ejpam-493	12	8	(	(	PUNCT
ejpam-493	12	9	j.	j.	PROPN
ejpam-493	12	10	dziok	dziok	PROPN
ejpam-493	12	11	)	)	PUNCT
ejpam-493	12	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-493	13	1	544	544	NUM
ejpam-493	13	2	c	c	X
ejpam-493	13	3	©	©	PROPN
ejpam-493	13	4	2009	2009	NUM
ejpam-493	13	5	ejpam	ejpam	NOUN
ejpam-493	13	6	all	all	DET
ejpam-493	13	7	rights	right	NOUN
ejpam-493	13	8	reserved	reserve	VERB
ejpam-493	13	9	.	.	PUNCT
ejpam-493	14	1	m.	m.	PROPN
ejpam-493	14	2	aouf	aouf	PROPN
ejpam-493	14	3	and	and	CCONJ
ejpam-493	14	4	j.	j.	PROPN
ejpam-493	14	5	dziok	dziok	PROPN
ejpam-493	14	6	/	/	PUNCT
ejpam-493	14	7	eur	eur	PROPN
ejpam-493	14	8	.	.	PUNCT
ejpam-493	15	1	j.	j.	PROPN
ejpam-493	15	2	pure	pure	PROPN
ejpam-493	15	3	appl	appl	PROPN
ejpam-493	15	4	.	.	PROPN
ejpam-493	15	5	math	math	PROPN
ejpam-493	15	6	,	,	PUNCT
ejpam-493	15	7	2	2	NUM
ejpam-493	15	8	(	(	PUNCT
ejpam-493	15	9	2009	2009	NUM
ejpam-493	15	10	)	)	PUNCT
ejpam-493	15	11	,	,	PUNCT
ejpam-493	15	12	(	(	PUNCT
ejpam-493	15	13	544	544	NUM
ejpam-493	15	14	-	-	SYM
ejpam-493	15	15	553	553	NUM
ejpam-493	15	16	)	)	PUNCT
ejpam-493	15	17	545	545	NUM
ejpam-493	15	18	1	1	NUM
ejpam-493	15	19	.	.	PUNCT
ejpam-493	16	1	introduction	introduction	NOUN
ejpam-493	16	2	let	let	VERB
ejpam-493	16	3	ap(n	ap(n	PUNCT
ejpam-493	16	4	)	)	PUNCT
ejpam-493	16	5	denote	denote	VERB
ejpam-493	16	6	the	the	DET
ejpam-493	16	7	class	class	NOUN
ejpam-493	16	8	of	of	ADP
ejpam-493	16	9	functions	function	NOUN
ejpam-493	16	10	of	of	ADP
ejpam-493	16	11	the	the	DET
ejpam-493	16	12	form	form	NOUN
ejpam-493	16	13	:	:	PUNCT
ejpam-493	16	14	f	f	PROPN
ejpam-493	16	15	(	(	PUNCT
ejpam-493	16	16	z	z	NOUN
ejpam-493	16	17	)	)	PUNCT
ejpam-493	17	1	=	=	SYM
ejpam-493	17	2	zp	zp	PROPN
ejpam-493	17	3	+	+	CCONJ
ejpam-493	17	4	∞	∞	NUM
ejpam-493	17	5	∑	∑	PUNCT
ejpam-493	17	6	k	k	X
ejpam-493	17	7	=	=	PROPN
ejpam-493	17	8	n	n	NOUN
ejpam-493	17	9	akzk	akzk	NOUN
ejpam-493	17	10	(	(	PUNCT
ejpam-493	17	11	p	p	X
ejpam-493	17	12	,	,	PUNCT
ejpam-493	17	13	n	n	CCONJ
ejpam-493	17	14	∈	∈	PROPN
ejpam-493	17	15	n	n	NOUN
ejpam-493	17	16	=	=	SYM
ejpam-493	17	17	{	{	PUNCT
ejpam-493	17	18	1	1	NUM
ejpam-493	17	19	,	,	PUNCT
ejpam-493	17	20	2	2	NUM
ejpam-493	17	21	,	,	PUNCT
ejpam-493	17	22	....	....	PUNCT
ejpam-493	17	23	}	}	PUNCT
ejpam-493	17	24	,	,	PUNCT
ejpam-493	17	25	p	p	X
ejpam-493	17	26	<	<	X
ejpam-493	17	27	n	n	CCONJ
ejpam-493	17	28	)	)	PUNCT
ejpam-493	17	29	,	,	PUNCT
ejpam-493	17	30	(	(	PUNCT
ejpam-493	17	31	1	1	X
ejpam-493	17	32	)	)	PUNCT
ejpam-493	17	33	which	which	PRON
ejpam-493	17	34	are	be	AUX
ejpam-493	17	35	analytic	analytic	ADJ
ejpam-493	17	36	in	in	ADP
ejpam-493	17	37	the	the	DET
ejpam-493	17	38	open	open	ADJ
ejpam-493	17	39	unit	unit	NOUN
ejpam-493	17	40	disc	disc	VERB
ejpam-493	17	41	u	u	NOUN
ejpam-493	17	42	=	=	PUNCT
ejpam-493	17	43	{	{	PUNCT
ejpam-493	17	44	z	z	NOUN
ejpam-493	17	45	:	:	PUNCT
ejpam-493	17	46	|z|	|z|	NOUN
ejpam-493	17	47	<	<	X
ejpam-493	17	48	1	1	NUM
ejpam-493	17	49	}	}	PUNCT
ejpam-493	17	50	.	.	PUNCT
ejpam-493	18	1	if	if	SCONJ
ejpam-493	18	2	f	f	PROPN
ejpam-493	18	3	(	(	PUNCT
ejpam-493	18	4	z	z	NOUN
ejpam-493	18	5	)	)	PUNCT
ejpam-493	18	6	∈	∈	PROPN
ejpam-493	18	7	ap(n	ap(n	NOUN
ejpam-493	18	8	)	)	PUNCT
ejpam-493	18	9	is	be	AUX
ejpam-493	18	10	given	give	VERB
ejpam-493	18	11	by	by	ADP
ejpam-493	18	12	(	(	PUNCT
ejpam-493	18	13	1	1	NUM
ejpam-493	18	14	)	)	PUNCT
ejpam-493	18	15	and	and	CCONJ
ejpam-493	18	16	g(z	g(z	PROPN
ejpam-493	18	17	)	)	PUNCT
ejpam-493	18	18	∈	∈	PROPN
ejpam-493	18	19	ap(n	ap(n	NOUN
ejpam-493	18	20	)	)	PUNCT
ejpam-493	18	21	is	be	AUX
ejpam-493	18	22	given	give	VERB
ejpam-493	18	23	by	by	ADP
ejpam-493	18	24	g(z	g(z	PROPN
ejpam-493	18	25	)	)	PUNCT
ejpam-493	19	1	=	=	PUNCT
ejpam-493	19	2	zp	zp	PROPN
ejpam-493	20	1	+	+	CCONJ
ejpam-493	20	2	∞	∞	NUM
ejpam-493	20	3	∑	∑	PUNCT
ejpam-493	20	4	k	k	X
ejpam-493	20	5	=	=	NOUN
ejpam-493	20	6	n	n	ADV
ejpam-493	20	7	bkzk	bkzk	NOUN
ejpam-493	20	8	(	(	PUNCT
ejpam-493	20	9	z	z	NOUN
ejpam-493	20	10	∈	∈	PROPN
ejpam-493	20	11	u	u	NOUN
ejpam-493	20	12	)	)	PUNCT
ejpam-493	20	13	,	,	PUNCT
ejpam-493	20	14	then	then	ADV
ejpam-493	20	15	the	the	DET
ejpam-493	20	16	hadamard	hadamard	ADJ
ejpam-493	20	17	product	product	NOUN
ejpam-493	20	18	(	(	PUNCT
ejpam-493	20	19	or	or	CCONJ
ejpam-493	20	20	convolution	convolution	NOUN
ejpam-493	20	21	)	)	PUNCT
ejpam-493	20	22	(	(	PUNCT
ejpam-493	20	23	f	f	PROPN
ejpam-493	20	24	∗	∗	PROPN
ejpam-493	20	25	g)(z	g)(z	PROPN
ejpam-493	20	26	)	)	PUNCT
ejpam-493	20	27	of	of	ADP
ejpam-493	20	28	f	f	PROPN
ejpam-493	20	29	(	(	PUNCT
ejpam-493	20	30	z	z	NOUN
ejpam-493	20	31	)	)	PUNCT
ejpam-493	20	32	and	and	CCONJ
ejpam-493	20	33	g(z	g(z	PROPN
ejpam-493	20	34	)	)	PUNCT
ejpam-493	20	35	is	be	AUX
ejpam-493	20	36	defined	define	VERB
ejpam-493	20	37	by	by	ADP
ejpam-493	20	38	(	(	PUNCT
ejpam-493	20	39	f	f	PROPN
ejpam-493	20	40	∗	∗	PROPN
ejpam-493	20	41	g)(z	g)(z	PUNCT
ejpam-493	20	42	)	)	PUNCT
ejpam-493	21	1	=	=	SYM
ejpam-493	21	2	zp	zp	NOUN
ejpam-493	22	1	+	+	CCONJ
ejpam-493	22	2	∞	∞	NUM
ejpam-493	22	3	∑	∑	PUNCT
ejpam-493	22	4	k	k	X
ejpam-493	22	5	=	=	PROPN
ejpam-493	22	6	n	n	SYM
ejpam-493	22	7	ak	ak	PROPN
ejpam-493	22	8	bkzk	bkzk	NOUN
ejpam-493	22	9	.	.	PUNCT
ejpam-493	23	1	for	for	ADP
ejpam-493	23	2	complex	complex	ADJ
ejpam-493	23	3	parameters	parameter	NOUN
ejpam-493	23	4	α1	α1	PROPN
ejpam-493	23	5	...	...	PUNCT
ejpam-493	23	6	,αr	,αr	PUNCT
ejpam-493	23	7	and	and	CCONJ
ejpam-493	23	8	β1	β1	PROPN
ejpam-493	23	9	,	,	PUNCT
ejpam-493	23	10	....	....	PUNCT
ejpam-493	23	11	,	,	PUNCT
ejpam-493	23	12	βs	βs	X
ejpam-493	23	13	(	(	PUNCT
ejpam-493	23	14	β	β	X
ejpam-493	23	15	j	j	PROPN
ejpam-493	23	16	∈	∈	PROPN
ejpam-493	23	17	c\{0,−1,−2	c\{0,−1,−2	PROPN
ejpam-493	23	18	,	,	PUNCT
ejpam-493	23	19	...	...	PUNCT
ejpam-493	23	20	}	}	PUNCT
ejpam-493	23	21	;	;	PUNCT
ejpam-493	23	22	j	j	PROPN
ejpam-493	23	23	=	=	SYM
ejpam-493	23	24	1	1	NUM
ejpam-493	23	25	,	,	PUNCT
ejpam-493	23	26	...	...	PUNCT
ejpam-493	23	27	,	,	PUNCT
ejpam-493	23	28	s	s	X
ejpam-493	23	29	)	)	PUNCT
ejpam-493	23	30	,	,	PUNCT
ejpam-493	23	31	we	we	PRON
ejpam-493	23	32	define	define	VERB
ejpam-493	23	33	the	the	DET
ejpam-493	23	34	generalized	generalized	ADJ
ejpam-493	23	35	hypergeometric	hypergeometric	ADJ
ejpam-493	23	36	function	function	NOUN
ejpam-493	23	37	r	r	NOUN
ejpam-493	23	38	fs(α1	fs(α1	NOUN
ejpam-493	23	39	...	...	PUNCT
ejpam-493	23	40	,αr;β1	,αr;β1	NOUN
ejpam-493	23	41	,	,	PUNCT
ejpam-493	23	42	....	....	PUNCT
ejpam-493	23	43	,	,	PUNCT
ejpam-493	23	44	βs	βs	CCONJ
ejpam-493	23	45	;	;	PUNCT
ejpam-493	23	46	z	z	X
ejpam-493	23	47	)	)	PUNCT
ejpam-493	23	48	by	by	ADP
ejpam-493	23	49	r	r	NOUN
ejpam-493	23	50	fs(α1	fs(α1	NOUN
ejpam-493	23	51	...	...	PUNCT
ejpam-493	23	52	,αr;β1	,αr;β1	NOUN
ejpam-493	23	53	,	,	PUNCT
ejpam-493	23	54	....	....	PUNCT
ejpam-493	23	55	,	,	PUNCT
ejpam-493	23	56	βs	βs	CCONJ
ejpam-493	23	57	;	;	PUNCT
ejpam-493	23	58	z	z	X
ejpam-493	23	59	)	)	PUNCT
ejpam-493	24	1	=	=	SYM
ejpam-493	24	2	∞	∞	PROPN
ejpam-493	24	3	∑	∑	PUNCT
ejpam-493	24	4	k=0	k=0	PROPN
ejpam-493	24	5	(	(	PUNCT
ejpam-493	24	6	α1)k	α1)k	ADV
ejpam-493	24	7	......	......	X
ejpam-493	24	8	(αr)k	(αr)k	PROPN
ejpam-493	24	9	(	(	PUNCT
ejpam-493	24	10	β1)k	β1)k	PROPN
ejpam-493	24	11	.......	.......	PUNCT
ejpam-493	24	12	(βs)k	(βs)k	X
ejpam-493	24	13	.	.	PUNCT
ejpam-493	25	1	zk	zk	PROPN
ejpam-493	26	1	k	k	X
ejpam-493	26	2	!	!	PUNCT
ejpam-493	27	1	(	(	PUNCT
ejpam-493	27	2	r	r	NOUN
ejpam-493	27	3	≤	≤	NUM
ejpam-493	27	4	s+	s+	PUNCT
ejpam-493	27	5	1	1	NUM
ejpam-493	27	6	;	;	PUNCT
ejpam-493	27	7	r	r	X
ejpam-493	27	8	,	,	PUNCT
ejpam-493	27	9	s	s	NOUN
ejpam-493	27	10	∈	∈	PROPN
ejpam-493	27	11	n0	n0	X
ejpam-493	27	12	=	=	SYM
ejpam-493	27	13	n	n	PRON
ejpam-493	27	14	∪	∪	X
ejpam-493	27	15	{	{	PUNCT
ejpam-493	27	16	0	0	NUM
ejpam-493	27	17	}	}	PUNCT
ejpam-493	27	18	;	;	PUNCT
ejpam-493	27	19	z	z	PROPN
ejpam-493	27	20	∈	∈	PROPN
ejpam-493	27	21	u	u	NOUN
ejpam-493	27	22	)	)	PUNCT
ejpam-493	27	23	,	,	PUNCT
ejpam-493	27	24	where	where	SCONJ
ejpam-493	27	25	(	(	PUNCT
ejpam-493	27	26	θ	θ	NOUN
ejpam-493	27	27	)	)	PUNCT
ejpam-493	28	1	k	k	PROPN
ejpam-493	28	2	is	be	AUX
ejpam-493	28	3	the	the	DET
ejpam-493	28	4	pochhammer	pochhammer	NOUN
ejpam-493	28	5	symbol	symbol	NOUN
ejpam-493	28	6	defined	define	VERB
ejpam-493	28	7	,	,	PUNCT
ejpam-493	28	8	in	in	ADP
ejpam-493	28	9	terms	term	NOUN
ejpam-493	28	10	of	of	ADP
ejpam-493	28	11	the	the	DET
ejpam-493	28	12	gamma	gamma	NOUN
ejpam-493	28	13	function	function	NOUN
ejpam-493	28	14	γ	γ	PROPN
ejpam-493	28	15	,	,	PUNCT
ejpam-493	28	16	by	by	ADP
ejpam-493	28	17	(	(	PUNCT
ejpam-493	28	18	θ	θ	NOUN
ejpam-493	28	19	)	)	PUNCT
ejpam-493	28	20	k	k	PROPN
ejpam-493	28	21	=	=	PUNCT
ejpam-493	29	1	γ(θ	γ(θ	PROPN
ejpam-493	29	2	+	+	CCONJ
ejpam-493	29	3	k	k	NOUN
ejpam-493	29	4	)	)	PUNCT
ejpam-493	29	5	γ(θ	γ(θ	PUNCT
ejpam-493	29	6	)	)	PUNCT
ejpam-493	30	1	=	=	PUNCT
ejpam-493	30	2			PROPN
ejpam-493	30	3			X
ejpam-493	30	4			NOUN
ejpam-493	30	5	1	1	NUM
ejpam-493	30	6	(	(	PUNCT
ejpam-493	30	7	k	k	NOUN
ejpam-493	30	8	=	=	SYM
ejpam-493	30	9	0	0	NUM
ejpam-493	30	10	)	)	PUNCT
ejpam-493	30	11	θ	θ	NOUN
ejpam-493	30	12	(	(	PUNCT
ejpam-493	30	13	θ	θ	X
ejpam-493	30	14	+	+	NOUN
ejpam-493	30	15	1)	1)	NUM
ejpam-493	30	16	....	....	PUNCT
ejpam-493	31	1	(θ	(θ	PUNCT
ejpam-493	31	2	+	+	X
ejpam-493	31	3	k−	k−	PROPN
ejpam-493	31	4	1	1	NUM
ejpam-493	31	5	)	)	PUNCT
ejpam-493	31	6	(	(	PUNCT
ejpam-493	31	7	k	k	PROPN
ejpam-493	31	8	∈	∈	PROPN
ejpam-493	31	9	n	n	CCONJ
ejpam-493	31	10	)	)	PUNCT
ejpam-493	31	11	.	.	PUNCT
ejpam-493	32	1	corresponding	correspond	VERB
ejpam-493	32	2	to	to	ADP
ejpam-493	32	3	a	a	DET
ejpam-493	32	4	function	function	NOUN
ejpam-493	32	5	hp(α1	hp(α1	NOUN
ejpam-493	32	6	,	,	PUNCT
ejpam-493	32	7	....	....	PUNCT
ejpam-493	32	8	,	,	PUNCT
ejpam-493	32	9	αr;β1	αr;β1	PROPN
ejpam-493	32	10	,	,	PUNCT
ejpam-493	32	11	....	....	PUNCT
ejpam-493	32	12	,	,	PUNCT
ejpam-493	32	13	βs	βs	AUX
ejpam-493	32	14	;	;	PUNCT
ejpam-493	32	15	z	z	AUX
ejpam-493	32	16	)	)	PUNCT
ejpam-493	32	17	defined	define	VERB
ejpam-493	32	18	by	by	ADP
ejpam-493	32	19	hp(α1	hp(α1	NOUN
ejpam-493	32	20	,	,	PUNCT
ejpam-493	32	21	....	....	PUNCT
ejpam-493	32	22	,	,	PUNCT
ejpam-493	32	23	αr;β1	αr;β1	PROPN
ejpam-493	32	24	,	,	PUNCT
ejpam-493	32	25	....	....	PUNCT
ejpam-493	32	26	,	,	PUNCT
ejpam-493	32	27	βs	βs	AUX
ejpam-493	32	28	;	;	PUNCT
ejpam-493	32	29	z	z	X
ejpam-493	32	30	)	)	PUNCT
ejpam-493	32	31	=	=	SYM
ejpam-493	32	32	zp	zp	NOUN
ejpam-493	32	33	r	r	NOUN
ejpam-493	32	34	fs(α1	fs(α1	NOUN
ejpam-493	32	35	,	,	PUNCT
ejpam-493	32	36	....	....	PUNCT
ejpam-493	32	37	,	,	PUNCT
ejpam-493	32	38	αr;β1	αr;β1	PROPN
ejpam-493	32	39	,	,	PUNCT
ejpam-493	32	40	....	....	PUNCT
ejpam-493	32	41	,	,	PUNCT
ejpam-493	32	42	βs	βs	AUX
ejpam-493	32	43	;	;	PUNCT
ejpam-493	32	44	z	z	X
ejpam-493	32	45	)	)	PUNCT
ejpam-493	32	46	,	,	PUNCT
ejpam-493	32	47	we	we	PRON
ejpam-493	32	48	consider	consider	VERB
ejpam-493	32	49	a	a	DET
ejpam-493	32	50	linear	linear	ADJ
ejpam-493	32	51	operator	operator	NOUN
ejpam-493	32	52	hp(α1	hp(α1	NOUN
ejpam-493	32	53	,	,	PUNCT
ejpam-493	32	54	....	....	PUNCT
ejpam-493	32	55	,	,	PUNCT
ejpam-493	32	56	αr;β1	αr;β1	PROPN
ejpam-493	32	57	,	,	PUNCT
ejpam-493	32	58	....	....	PUNCT
ejpam-493	32	59	,	,	PUNCT
ejpam-493	32	60	βs	βs	X
ejpam-493	32	61	)	)	PUNCT
ejpam-493	32	62	:	:	PUNCT
ejpam-493	32	63	ap(n)→	ap(n)→	PROPN
ejpam-493	32	64	ap(n	ap(n	PROPN
ejpam-493	32	65	)	)	PUNCT
ejpam-493	32	66	,	,	PUNCT
ejpam-493	32	67	defined	define	VERB
ejpam-493	32	68	by	by	ADP
ejpam-493	32	69	the	the	DET
ejpam-493	32	70	convolution	convolution	NOUN
ejpam-493	32	71	hp(α1	hp(α1	NOUN
ejpam-493	32	72	,	,	PUNCT
ejpam-493	32	73	....	....	PUNCT
ejpam-493	32	74	,	,	PUNCT
ejpam-493	32	75	αr;β1	αr;β1	PROPN
ejpam-493	32	76	,	,	PUNCT
ejpam-493	32	77	....	....	PUNCT
ejpam-493	32	78	,	,	PUNCT
ejpam-493	32	79	βs	βs	X
ejpam-493	32	80	)	)	PUNCT
ejpam-493	32	81	f	f	PROPN
ejpam-493	32	82	(	(	PUNCT
ejpam-493	32	83	z	z	NOUN
ejpam-493	32	84	)	)	PUNCT
ejpam-493	32	85	=	=	SYM
ejpam-493	32	86	hp(α1	hp(α1	NOUN
ejpam-493	32	87	,	,	PUNCT
ejpam-493	32	88	....	....	PUNCT
ejpam-493	32	89	,	,	PUNCT
ejpam-493	32	90	αr;β1	αr;β1	PROPN
ejpam-493	32	91	,	,	PUNCT
ejpam-493	32	92	....	....	PUNCT
ejpam-493	32	93	,	,	PUNCT
ejpam-493	32	94	βs	βs	CCONJ
ejpam-493	32	95	;	;	PUNCT
ejpam-493	32	96	z	z	X
ejpam-493	32	97	)	)	PUNCT
ejpam-493	32	98	∗	∗	PROPN
ejpam-493	32	99	f	f	PROPN
ejpam-493	32	100	(	(	PUNCT
ejpam-493	32	101	z	z	NOUN
ejpam-493	32	102	)	)	PUNCT
ejpam-493	32	103	.	.	PUNCT
ejpam-493	33	1	m.	m.	PROPN
ejpam-493	33	2	aouf	aouf	PROPN
ejpam-493	33	3	and	and	CCONJ
ejpam-493	33	4	j.	j.	PROPN
ejpam-493	33	5	dziok	dziok	PROPN
ejpam-493	33	6	/	/	PUNCT
ejpam-493	33	7	eur	eur	PROPN
ejpam-493	33	8	.	.	PUNCT
ejpam-493	34	1	j.	j.	PROPN
ejpam-493	34	2	pure	pure	PROPN
ejpam-493	34	3	appl	appl	PROPN
ejpam-493	34	4	.	.	PROPN
ejpam-493	34	5	math	math	PROPN
ejpam-493	34	6	,	,	PUNCT
ejpam-493	34	7	2	2	NUM
ejpam-493	34	8	(	(	PUNCT
ejpam-493	34	9	2009	2009	NUM
ejpam-493	34	10	)	)	PUNCT
ejpam-493	34	11	,	,	PUNCT
ejpam-493	34	12	(	(	PUNCT
ejpam-493	34	13	544	544	NUM
ejpam-493	34	14	-	-	SYM
ejpam-493	34	15	553	553	NUM
ejpam-493	34	16	)	)	PUNCT
ejpam-493	34	17	546	546	NUM
ejpam-493	34	18	we	we	PRON
ejpam-493	34	19	observe	observe	VERB
ejpam-493	34	20	that	that	SCONJ
ejpam-493	34	21	,	,	PUNCT
ejpam-493	34	22	for	for	ADP
ejpam-493	34	23	a	a	DET
ejpam-493	34	24	function	function	NOUN
ejpam-493	34	25	f	f	X
ejpam-493	34	26	(	(	PUNCT
ejpam-493	34	27	z	z	NOUN
ejpam-493	34	28	)	)	PUNCT
ejpam-493	34	29	of	of	ADP
ejpam-493	34	30	the	the	DET
ejpam-493	34	31	form	form	NOUN
ejpam-493	34	32	(	(	PUNCT
ejpam-493	34	33	1	1	NUM
ejpam-493	34	34	)	)	PUNCT
ejpam-493	34	35	,	,	PUNCT
ejpam-493	34	36	we	we	PRON
ejpam-493	34	37	have	have	AUX
ejpam-493	34	38	hp(α1	hp(α1	NOUN
ejpam-493	34	39	,	,	PUNCT
ejpam-493	34	40	....	....	PUNCT
ejpam-493	34	41	,	,	PUNCT
ejpam-493	34	42	αr;β1	αr;β1	PROPN
ejpam-493	34	43	,	,	PUNCT
ejpam-493	34	44	....	....	PUNCT
ejpam-493	34	45	,	,	PUNCT
ejpam-493	34	46	βs	βs	X
ejpam-493	34	47	)	)	PUNCT
ejpam-493	34	48	f	f	PROPN
ejpam-493	34	49	(	(	PUNCT
ejpam-493	34	50	z	z	NOUN
ejpam-493	34	51	)	)	PUNCT
ejpam-493	35	1	=	=	SYM
ejpam-493	35	2	zp	zp	PROPN
ejpam-493	36	1	+	+	CCONJ
ejpam-493	36	2	∞	∞	NUM
ejpam-493	36	3	∑	∑	PUNCT
ejpam-493	36	4	k	k	X
ejpam-493	36	5	=	=	NOUN
ejpam-493	36	6	n	n	PRON
ejpam-493	36	7	γkakzk	γkakzk	NOUN
ejpam-493	36	8	,	,	PUNCT
ejpam-493	36	9	where	where	SCONJ
ejpam-493	36	10	γk	γk	X
ejpam-493	36	11	=	=	SYM
ejpam-493	36	12	(	(	PUNCT
ejpam-493	36	13	α1)k−p	α1)k−p	NOUN
ejpam-493	36	14	......	......	NOUN
ejpam-493	36	15	(αr)k−p	(αr)k−p	NOUN
ejpam-493	36	16	(	(	PUNCT
ejpam-493	36	17	β1)k−p	β1)k−p	NOUN
ejpam-493	36	18	......	......	NOUN
ejpam-493	36	19	(βs)k−p	(βs)k−p	PROPN
ejpam-493	36	20	(	(	PUNCT
ejpam-493	36	21	k−	k−	NOUN
ejpam-493	36	22	p	p	NOUN
ejpam-493	36	23	)	)	PUNCT
ejpam-493	36	24	!	!	PUNCT
ejpam-493	36	25	.	.	PUNCT
ejpam-493	37	1	(	(	PUNCT
ejpam-493	37	2	2	2	X
ejpam-493	37	3	)	)	PUNCT
ejpam-493	37	4	for	for	ADP
ejpam-493	37	5	convenience	convenience	NOUN
ejpam-493	37	6	,	,	PUNCT
ejpam-493	37	7	we	we	PRON
ejpam-493	37	8	write	write	VERB
ejpam-493	38	1	h	h	NOUN
ejpam-493	38	2	p	p	NOUN
ejpam-493	38	3	r	r	NOUN
ejpam-493	38	4	,	,	PUNCT
ejpam-493	38	5	s	s	PART
ejpam-493	38	6	=	=	NOUN
ejpam-493	38	7	hp(α1	hp(α1	NOUN
ejpam-493	38	8	,	,	PUNCT
ejpam-493	38	9	.....	.....	PUNCT
ejpam-493	38	10	,	,	PUNCT
ejpam-493	38	11	αr;β1	αr;β1	PROPN
ejpam-493	38	12	,	,	PUNCT
ejpam-493	38	13	.....	.....	PUNCT
ejpam-493	38	14	βs	βs	NUM
ejpam-493	38	15	)	)	PUNCT
ejpam-493	38	16	.	.	PUNCT
ejpam-493	39	1	the	the	DET
ejpam-493	39	2	linear	linear	ADJ
ejpam-493	39	3	operator	operator	NOUN
ejpam-493	39	4	h	h	NOUN
ejpam-493	39	5	p	p	NOUN
ejpam-493	39	6	r	r	NOUN
ejpam-493	39	7	,	,	PUNCT
ejpam-493	39	8	s	s	VERB
ejpam-493	39	9	was	be	AUX
ejpam-493	39	10	introduced	introduce	VERB
ejpam-493	39	11	by	by	ADP
ejpam-493	39	12	dziok	dziok	NOUN
ejpam-493	39	13	and	and	CCONJ
ejpam-493	39	14	srivastava	srivastava	PROPN
ejpam-493	40	1	[	[	X
ejpam-493	40	2	1	1	NUM
ejpam-493	40	3	]	]	PUNCT
ejpam-493	40	4	.	.	PUNCT
ejpam-493	41	1	we	we	PRON
ejpam-493	41	2	denote	denote	VERB
ejpam-493	41	3	by	by	ADP
ejpam-493	41	4	tp(n	tp(n	NOUN
ejpam-493	41	5	)	)	PUNCT
ejpam-493	41	6	the	the	DET
ejpam-493	41	7	subclass	subclass	NOUN
ejpam-493	41	8	of	of	ADP
ejpam-493	41	9	ap(n	ap(n	NOUN
ejpam-493	41	10	)	)	PUNCT
ejpam-493	41	11	consisting	consist	VERB
ejpam-493	41	12	of	of	ADP
ejpam-493	41	13	functions	function	NOUN
ejpam-493	41	14	f	f	X
ejpam-493	41	15	(	(	PUNCT
ejpam-493	41	16	z	z	NOUN
ejpam-493	41	17	)	)	PUNCT
ejpam-493	41	18	of	of	ADP
ejpam-493	41	19	the	the	DET
ejpam-493	41	20	form	form	NOUN
ejpam-493	41	21	:	:	PUNCT
ejpam-493	41	22	f	f	PROPN
ejpam-493	41	23	(	(	PUNCT
ejpam-493	41	24	z	z	NOUN
ejpam-493	41	25	)	)	PUNCT
ejpam-493	42	1	=	=	SYM
ejpam-493	42	2	zp	zp	PROPN
ejpam-493	43	1	−	−	PROPN
ejpam-493	43	2	∞	∞	PROPN
ejpam-493	43	3	∑	∑	PROPN
ejpam-493	43	4	k	k	X
ejpam-493	43	5	=	=	PROPN
ejpam-493	43	6	n	n	NOUN
ejpam-493	43	7	akzk	akzk	NOUN
ejpam-493	43	8	(	(	PUNCT
ejpam-493	43	9	ak	ak	PROPN
ejpam-493	43	10	≥	≥	PROPN
ejpam-493	43	11	0	0	NUM
ejpam-493	43	12	)	)	PUNCT
ejpam-493	43	13	.	.	PUNCT
ejpam-493	44	1	(	(	PUNCT
ejpam-493	44	2	3	3	X
ejpam-493	44	3	)	)	PUNCT
ejpam-493	44	4	by	by	ADP
ejpam-493	44	5	using	use	VERB
ejpam-493	44	6	the	the	DET
ejpam-493	44	7	linear	linear	ADJ
ejpam-493	44	8	operator	operator	NOUN
ejpam-493	44	9	h	h	NOUN
ejpam-493	44	10	p	p	NOUN
ejpam-493	44	11	r	r	NOUN
ejpam-493	44	12	,	,	PUNCT
ejpam-493	44	13	s	s	AUX
ejpam-493	44	14	we	we	PRON
ejpam-493	44	15	introduce	introduce	VERB
ejpam-493	44	16	a	a	DET
ejpam-493	44	17	new	new	ADJ
ejpam-493	44	18	subclass	subclass	NOUN
ejpam-493	44	19	s(p	s(p	PROPN
ejpam-493	44	20	,	,	PUNCT
ejpam-493	44	21	n	n	CCONJ
ejpam-493	44	22	,	,	PUNCT
ejpam-493	44	23	q	q	X
ejpam-493	44	24	,	,	PUNCT
ejpam-493	44	25	λ	λ	PROPN
ejpam-493	44	26	,	,	PUNCT
ejpam-493	44	27	β	β	NOUN
ejpam-493	44	28	)	)	PUNCT
ejpam-493	44	29	of	of	ADP
ejpam-493	44	30	the	the	DET
ejpam-493	44	31	class	class	NOUN
ejpam-493	44	32	tp(n	tp(n	NOUN
ejpam-493	44	33	)	)	PUNCT
ejpam-493	44	34	,	,	PUNCT
ejpam-493	44	35	which	which	PRON
ejpam-493	44	36	consists	consist	VERB
ejpam-493	44	37	of	of	ADP
ejpam-493	44	38	functions	function	NOUN
ejpam-493	44	39	f	f	X
ejpam-493	44	40	(	(	PUNCT
ejpam-493	44	41	z	z	NOUN
ejpam-493	44	42	)	)	PUNCT
ejpam-493	44	43	∈	∈	PROPN
ejpam-493	44	44	tp(n	tp(n	NOUN
ejpam-493	44	45	)	)	PUNCT
ejpam-493	44	46	satisfying	satisfy	VERB
ejpam-493	44	47	the	the	DET
ejpam-493	44	48	inequality	inequality	NOUN
ejpam-493	44	49	:	:	PUNCT
ejpam-493	44	50	�	�	PROPN
ejpam-493	44	51	�	�	PROPN
ejpam-493	44	52	�	�	PROPN
ejpam-493	44	53	�	�	PROPN
ejpam-493	44	54	�	�	PROPN
ejpam-493	45	1	z(h	z(h	PROPN
ejpam-493	45	2	p	p	NOUN
ejpam-493	45	3	r	r	NOUN
ejpam-493	45	4	,	,	PUNCT
ejpam-493	45	5	s	s	NOUN
ejpam-493	45	6	f	f	NOUN
ejpam-493	45	7	)	)	PUNCT
ejpam-493	45	8	(	(	PUNCT
ejpam-493	45	9	1+q)(z	1+q)(z	NUM
ejpam-493	45	10	)	)	PUNCT
ejpam-493	46	1	+	+	CCONJ
ejpam-493	47	1	λz2(h	λz2(h	PROPN
ejpam-493	47	2	p	p	X
ejpam-493	48	1	r	r	NOUN
ejpam-493	48	2	,	,	PUNCT
ejpam-493	48	3	s	s	NOUN
ejpam-493	48	4	f	f	NOUN
ejpam-493	48	5	)	)	PUNCT
ejpam-493	48	6	(	(	PUNCT
ejpam-493	48	7	2+q)(z	2+q)(z	NUM
ejpam-493	48	8	)	)	PUNCT
ejpam-493	48	9	λz(h	λz(h	PUNCT
ejpam-493	48	10	p	p	X
ejpam-493	48	11	r	r	PROPN
ejpam-493	48	12	,	,	PUNCT
ejpam-493	48	13	s	s	NOUN
ejpam-493	48	14	f	f	NOUN
ejpam-493	48	15	)	)	PUNCT
ejpam-493	48	16	(	(	PUNCT
ejpam-493	48	17	1+q)(z	1+q)(z	NUM
ejpam-493	48	18	)	)	PUNCT
ejpam-493	49	1	+	+	CCONJ
ejpam-493	49	2	(	(	PUNCT
ejpam-493	49	3	1−λ)(h	1−λ)(h	NUM
ejpam-493	49	4	p	p	NOUN
ejpam-493	49	5	r	r	NOUN
ejpam-493	49	6	,	,	PUNCT
ejpam-493	49	7	s	s	NOUN
ejpam-493	49	8	f	f	NOUN
ejpam-493	49	9	)	)	PUNCT
ejpam-493	49	10	(	(	PUNCT
ejpam-493	49	11	q)(z	q)(z	NOUN
ejpam-493	49	12	)	)	PUNCT
ejpam-493	49	13	−	−	PROPN
ejpam-493	49	14	(	(	PUNCT
ejpam-493	49	15	p−	p−	NOUN
ejpam-493	49	16	q	q	NOUN
ejpam-493	49	17	)	)	PUNCT
ejpam-493	49	18	�	�	PROPN
ejpam-493	49	19	�	�	PROPN
ejpam-493	49	20	�	�	PROPN
ejpam-493	49	21	�	�	PROPN
ejpam-493	49	22	�	�	PROPN
ejpam-493	49	23	<	<	X
ejpam-493	49	24	β	β	X
ejpam-493	49	25	(	(	PUNCT
ejpam-493	49	26	4	4	NUM
ejpam-493	49	27	)	)	PUNCT
ejpam-493	49	28	(	(	PUNCT
ejpam-493	49	29	z	z	NOUN
ejpam-493	49	30	∈	∈	PROPN
ejpam-493	49	31	u	u	NOUN
ejpam-493	49	32	;	;	PUNCT
ejpam-493	49	33	p	p	PROPN
ejpam-493	49	34	∈	∈	PROPN
ejpam-493	49	35	n	n	NOUN
ejpam-493	49	36	;	;	PUNCT
ejpam-493	49	37	q	q	PROPN
ejpam-493	49	38	∈	∈	PROPN
ejpam-493	49	39	n0	n0	PROPN
ejpam-493	49	40	;	;	PUNCT
ejpam-493	49	41	q	q	X
ejpam-493	49	42	<	<	X
ejpam-493	49	43	k−	k−	PROPN
ejpam-493	49	44	1	1	NUM
ejpam-493	49	45	;	;	PUNCT
ejpam-493	49	46	k	k	X
ejpam-493	49	47	≥	≥	X
ejpam-493	49	48	n	n	CCONJ
ejpam-493	49	49	;	;	PUNCT
ejpam-493	49	50	0	0	NUM
ejpam-493	49	51	≤	≤	NUM
ejpam-493	49	52	λ≤	λ≤	VERB
ejpam-493	49	53	1;β	1;β	NUM
ejpam-493	49	54	>	>	PUNCT
ejpam-493	49	55	0	0	NUM
ejpam-493	49	56	)	)	PUNCT
ejpam-493	49	57	.	.	PUNCT
ejpam-493	50	1	also	also	ADV
ejpam-493	50	2	,	,	PUNCT
ejpam-493	50	3	let	let	VERB
ejpam-493	50	4	p(p	p(p	NOUN
ejpam-493	50	5	,	,	PUNCT
ejpam-493	50	6	n	n	CCONJ
ejpam-493	50	7	,	,	PUNCT
ejpam-493	50	8	q	q	X
ejpam-493	50	9	,	,	PUNCT
ejpam-493	50	10	λ	λ	PROPN
ejpam-493	50	11	,	,	PUNCT
ejpam-493	50	12	β	β	NOUN
ejpam-493	50	13	)	)	PUNCT
ejpam-493	50	14	denote	denote	VERB
ejpam-493	50	15	the	the	DET
ejpam-493	50	16	subclass	subclass	NOUN
ejpam-493	50	17	of	of	ADP
ejpam-493	50	18	tp(n	tp(n	NOUN
ejpam-493	50	19	)	)	PUNCT
ejpam-493	50	20	consisting	consist	VERB
ejpam-493	50	21	of	of	ADP
ejpam-493	50	22	functions	function	NOUN
ejpam-493	50	23	f	f	X
ejpam-493	50	24	(	(	PUNCT
ejpam-493	50	25	z)which	z)which	NOUN
ejpam-493	50	26	satisfy	satisfy	VERB
ejpam-493	50	27	the	the	DET
ejpam-493	50	28	inequality	inequality	NOUN
ejpam-493	50	29	:	:	PUNCT
ejpam-493	50	30	�	�	PROPN
ejpam-493	50	31	�	�	PROPN
ejpam-493	50	32	�	�	PROPN
ejpam-493	50	33	�	�	PROPN
ejpam-493	50	34	�	�	PROPN
ejpam-493	50	35	(	(	PUNCT
ejpam-493	50	36	1−λ	1−λ	NUM
ejpam-493	50	37	)	)	PUNCT
ejpam-493	50	38	(	(	PUNCT
ejpam-493	51	1	h	h	NOUN
ejpam-493	51	2	p	p	X
ejpam-493	51	3	r	r	NOUN
ejpam-493	51	4	,	,	PUNCT
ejpam-493	51	5	s	s	NOUN
ejpam-493	51	6	f	f	NOUN
ejpam-493	51	7	)	)	PUNCT
ejpam-493	51	8	(	(	PUNCT
ejpam-493	51	9	q)(z	q)(z	NOUN
ejpam-493	51	10	)	)	PUNCT
ejpam-493	51	11	zp−q	zp−q	PROPN
ejpam-493	52	1	+	+	PROPN
ejpam-493	52	2	λ	λ	X
ejpam-493	52	3	(	(	PUNCT
ejpam-493	52	4	h	h	NOUN
ejpam-493	53	1	p	p	X
ejpam-493	53	2	r	r	NOUN
ejpam-493	53	3	,	,	PUNCT
ejpam-493	53	4	s	s	NOUN
ejpam-493	53	5	f	f	NOUN
ejpam-493	53	6	)	)	PUNCT
ejpam-493	53	7	(	(	PUNCT
ejpam-493	53	8	1+q)(z	1+q)(z	NUM
ejpam-493	53	9	)	)	PUNCT
ejpam-493	53	10	(	(	PUNCT
ejpam-493	53	11	p−	p−	X
ejpam-493	53	12	q)zp−q−1	q)zp−q−1	NOUN
ejpam-493	53	13	−	−	NOUN
ejpam-493	53	14	(	(	PUNCT
ejpam-493	53	15	p−	p−	NOUN
ejpam-493	53	16	q+	q+	ADP
ejpam-493	53	17	1)q	1)q	NOUN
ejpam-493	53	18	�	�	PROPN
ejpam-493	53	19	�	�	PROPN
ejpam-493	53	20	�	�	PROPN
ejpam-493	53	21	�	�	PROPN
ejpam-493	53	22	�	�	PROPN
ejpam-493	53	23	<	<	X
ejpam-493	53	24	β	β	X
ejpam-493	53	25	(	(	PUNCT
ejpam-493	53	26	5	5	NUM
ejpam-493	53	27	)	)	PUNCT
ejpam-493	53	28	(	(	PUNCT
ejpam-493	53	29	z	z	NOUN
ejpam-493	53	30	∈	∈	PROPN
ejpam-493	53	31	u	u	NOUN
ejpam-493	53	32	;	;	PUNCT
ejpam-493	53	33	p	p	PROPN
ejpam-493	53	34	∈	∈	PROPN
ejpam-493	53	35	n	n	NOUN
ejpam-493	53	36	;	;	PUNCT
ejpam-493	53	37	q	q	PROPN
ejpam-493	53	38	∈	∈	PROPN
ejpam-493	53	39	n0	n0	PROPN
ejpam-493	53	40	;	;	PUNCT
ejpam-493	53	41	q	q	X
ejpam-493	53	42	<	<	X
ejpam-493	53	43	k−	k−	PROPN
ejpam-493	53	44	1	1	NUM
ejpam-493	53	45	;	;	PUNCT
ejpam-493	53	46	k	k	X
ejpam-493	53	47	≥	≥	NOUN
ejpam-493	53	48	n;λ	n;λ	CCONJ
ejpam-493	53	49	≥	≥	NOUN
ejpam-493	53	50	0;β	0;β	X
ejpam-493	53	51	>	>	X
ejpam-493	53	52	0	0	NUM
ejpam-493	53	53	)	)	PUNCT
ejpam-493	53	54	.	.	PUNCT
ejpam-493	54	1	now	now	ADV
ejpam-493	54	2	we	we	PRON
ejpam-493	54	3	define	define	VERB
ejpam-493	54	4	two	two	NUM
ejpam-493	54	5	classes	class	NOUN
ejpam-493	54	6	related	relate	VERB
ejpam-493	54	7	to	to	ADP
ejpam-493	54	8	the	the	DET
ejpam-493	54	9	classes	class	NOUN
ejpam-493	54	10	s(p	s(p	PROPN
ejpam-493	54	11	,	,	PUNCT
ejpam-493	54	12	n	n	CCONJ
ejpam-493	54	13	,	,	PUNCT
ejpam-493	54	14	q	q	X
ejpam-493	54	15	,	,	PUNCT
ejpam-493	54	16	λ	λ	PROPN
ejpam-493	54	17	,	,	PUNCT
ejpam-493	54	18	β	β	NOUN
ejpam-493	54	19	)	)	PUNCT
ejpam-493	54	20	and	and	CCONJ
ejpam-493	54	21	p(p	p(p	NOUN
ejpam-493	54	22	,	,	PUNCT
ejpam-493	54	23	n	n	CCONJ
ejpam-493	54	24	,	,	PUNCT
ejpam-493	54	25	q	q	X
ejpam-493	54	26	,	,	PUNCT
ejpam-493	54	27	λ	λ	PROPN
ejpam-493	54	28	,	,	PUNCT
ejpam-493	54	29	β	β	NOUN
ejpam-493	54	30	)	)	PUNCT
ejpam-493	54	31	.	.	PUNCT
ejpam-493	55	1	a	a	DET
ejpam-493	55	2	function	function	NOUN
ejpam-493	55	3	f	f	X
ejpam-493	55	4	(	(	PUNCT
ejpam-493	55	5	z	z	NOUN
ejpam-493	55	6	)	)	PUNCT
ejpam-493	55	7	∈	∈	PROPN
ejpam-493	55	8	tp(n	tp(n	NOUN
ejpam-493	55	9	)	)	PUNCT
ejpam-493	55	10	is	be	AUX
ejpam-493	55	11	said	say	VERB
ejpam-493	55	12	to	to	PART
ejpam-493	55	13	be	be	AUX
ejpam-493	55	14	in	in	ADP
ejpam-493	55	15	the	the	DET
ejpam-493	55	16	class	class	NOUN
ejpam-493	55	17	sγ(p	sγ(p	NOUN
ejpam-493	55	18	,	,	PUNCT
ejpam-493	55	19	n	n	CCONJ
ejpam-493	55	20	,	,	PUNCT
ejpam-493	55	21	q	q	X
ejpam-493	55	22	,	,	PUNCT
ejpam-493	55	23	λ	λ	PROPN
ejpam-493	55	24	,	,	PUNCT
ejpam-493	55	25	β	β	NOUN
ejpam-493	55	26	)	)	PUNCT
ejpam-493	55	27	if	if	SCONJ
ejpam-493	55	28	there	there	PRON
ejpam-493	55	29	exists	exist	VERB
ejpam-493	55	30	a	a	DET
ejpam-493	55	31	function	function	NOUN
ejpam-493	55	32	g(z	g(z	PROPN
ejpam-493	55	33	)	)	PUNCT
ejpam-493	55	34	∈	∈	PROPN
ejpam-493	55	35	s(p	s(p	PROPN
ejpam-493	55	36	,	,	PUNCT
ejpam-493	55	37	n	n	CCONJ
ejpam-493	55	38	,	,	PUNCT
ejpam-493	55	39	q	q	X
ejpam-493	55	40	,	,	PUNCT
ejpam-493	55	41	λ	λ	PROPN
ejpam-493	55	42	,	,	PUNCT
ejpam-493	55	43	β	β	NOUN
ejpam-493	55	44	)	)	PUNCT
ejpam-493	55	45	such	such	ADJ
ejpam-493	55	46	that	that	SCONJ
ejpam-493	55	47	�	�	PROPN
ejpam-493	55	48	�	�	PROPN
ejpam-493	55	49	�	�	PROPN
ejpam-493	55	50	�	�	PROPN
ejpam-493	55	51	f	f	PROPN
ejpam-493	55	52	(	(	PUNCT
ejpam-493	55	53	z	z	NOUN
ejpam-493	55	54	)	)	PUNCT
ejpam-493	55	55	g(z	g(z	ADJ
ejpam-493	55	56	)	)	PUNCT
ejpam-493	56	1	−	−	PROPN
ejpam-493	56	2	1	1	NUM
ejpam-493	56	3	�	�	PROPN
ejpam-493	56	4	�	�	PROPN
ejpam-493	56	5	�	�	PROPN
ejpam-493	56	6	�	�	PROPN
ejpam-493	56	7	<	<	X
ejpam-493	56	8	γ	γ	X
ejpam-493	56	9	(	(	PUNCT
ejpam-493	56	10	z	z	PROPN
ejpam-493	56	11	∈	∈	PROPN
ejpam-493	56	12	u	u	NOUN
ejpam-493	56	13	;	;	PUNCT
ejpam-493	56	14	γ	γ	X
ejpam-493	56	15	>	>	X
ejpam-493	56	16	0	0	NUM
ejpam-493	56	17	)	)	PUNCT
ejpam-493	56	18	.	.	PUNCT
ejpam-493	57	1	(	(	PUNCT
ejpam-493	57	2	6	6	X
ejpam-493	57	3	)	)	PUNCT
ejpam-493	57	4	m.	m.	NOUN
ejpam-493	57	5	aouf	aouf	PROPN
ejpam-493	57	6	and	and	CCONJ
ejpam-493	57	7	j.	j.	PROPN
ejpam-493	57	8	dziok	dziok	PROPN
ejpam-493	57	9	/	/	PUNCT
ejpam-493	57	10	eur	eur	PROPN
ejpam-493	57	11	.	.	PUNCT
ejpam-493	58	1	j.	j.	PROPN
ejpam-493	58	2	pure	pure	PROPN
ejpam-493	58	3	appl	appl	PROPN
ejpam-493	58	4	.	.	PROPN
ejpam-493	58	5	math	math	PROPN
ejpam-493	58	6	,	,	PUNCT
ejpam-493	58	7	2	2	NUM
ejpam-493	58	8	(	(	PUNCT
ejpam-493	58	9	2009	2009	NUM
ejpam-493	58	10	)	)	PUNCT
ejpam-493	58	11	,	,	PUNCT
ejpam-493	58	12	(	(	PUNCT
ejpam-493	58	13	544	544	NUM
ejpam-493	58	14	-	-	SYM
ejpam-493	58	15	553	553	NUM
ejpam-493	58	16	)	)	PUNCT
ejpam-493	58	17	547	547	NUM
ejpam-493	58	18	analogously	analogously	ADV
ejpam-493	58	19	,	,	PUNCT
ejpam-493	58	20	a	a	DET
ejpam-493	58	21	function	function	NOUN
ejpam-493	58	22	f	f	X
ejpam-493	58	23	(	(	PUNCT
ejpam-493	58	24	z	z	NOUN
ejpam-493	58	25	)	)	PUNCT
ejpam-493	58	26	∈	∈	PROPN
ejpam-493	58	27	tp(n	tp(n	NOUN
ejpam-493	58	28	)	)	PUNCT
ejpam-493	58	29	is	be	AUX
ejpam-493	58	30	said	say	VERB
ejpam-493	58	31	to	to	PART
ejpam-493	58	32	be	be	AUX
ejpam-493	58	33	in	in	ADP
ejpam-493	58	34	the	the	DET
ejpam-493	58	35	class	class	NOUN
ejpam-493	58	36	pγ(p	pγ(p	PROPN
ejpam-493	58	37	,	,	PUNCT
ejpam-493	58	38	n	n	CCONJ
ejpam-493	58	39	,	,	PUNCT
ejpam-493	58	40	q	q	X
ejpam-493	58	41	,	,	PUNCT
ejpam-493	58	42	λ	λ	PROPN
ejpam-493	58	43	,	,	PUNCT
ejpam-493	58	44	β	β	NOUN
ejpam-493	58	45	)	)	PUNCT
ejpam-493	58	46	if	if	SCONJ
ejpam-493	58	47	there	there	PRON
ejpam-493	58	48	exists	exist	VERB
ejpam-493	58	49	a	a	DET
ejpam-493	58	50	function	function	NOUN
ejpam-493	58	51	g(z	g(z	NOUN
ejpam-493	58	52	)	)	PUNCT
ejpam-493	58	53	∈	∈	NOUN
ejpam-493	58	54	p(p	p(p	NOUN
ejpam-493	58	55	,	,	PUNCT
ejpam-493	58	56	n	n	CCONJ
ejpam-493	58	57	,	,	PUNCT
ejpam-493	58	58	q	q	X
ejpam-493	58	59	,	,	PUNCT
ejpam-493	58	60	λ	λ	PROPN
ejpam-493	58	61	,	,	PUNCT
ejpam-493	58	62	β	β	NOUN
ejpam-493	58	63	)	)	PUNCT
ejpam-493	58	64	such	such	ADJ
ejpam-493	58	65	that	that	SCONJ
ejpam-493	58	66	the	the	DET
ejpam-493	58	67	inequality	inequality	NOUN
ejpam-493	58	68	(	(	PUNCT
ejpam-493	58	69	6	6	NUM
ejpam-493	58	70	)	)	PUNCT
ejpam-493	58	71	holds	hold	VERB
ejpam-493	58	72	true	true	ADJ
ejpam-493	58	73	.	.	PUNCT
ejpam-493	59	1	we	we	PRON
ejpam-493	59	2	note	note	VERB
ejpam-493	59	3	that	that	SCONJ
ejpam-493	59	4	for	for	ADP
ejpam-493	59	5	suitable	suitable	ADJ
ejpam-493	59	6	chosen	choose	VERB
ejpam-493	59	7	parameters	parameter	NOUN
ejpam-493	59	8	the	the	DET
ejpam-493	59	9	classes	class	NOUN
ejpam-493	59	10	were	be	AUX
ejpam-493	59	11	investigated	investigate	VERB
ejpam-493	59	12	by	by	ADP
ejpam-493	59	13	(	(	PUNCT
ejpam-493	59	14	among	among	ADP
ejpam-493	59	15	others	other	NOUN
ejpam-493	59	16	)	)	PUNCT
ejpam-493	59	17	srivastava	srivastava	PROPN
ejpam-493	59	18	et	et	PROPN
ejpam-493	59	19	al	al	PROPN
ejpam-493	59	20	.	.	PUNCT
ejpam-493	60	1	(	(	PUNCT
ejpam-493	60	2	[	[	X
ejpam-493	60	3	2	2	X
ejpam-493	60	4	]	]	PUNCT
ejpam-493	60	5	and	and	CCONJ
ejpam-493	60	6	[	[	X
ejpam-493	60	7	3	3	NUM
ejpam-493	60	8	]	]	NUM
ejpam-493	60	9	)	)	PUNCT
ejpam-493	60	10	.	.	PUNCT
ejpam-493	61	1	also	also	ADV
ejpam-493	61	2	,	,	PUNCT
ejpam-493	61	3	following	follow	VERB
ejpam-493	61	4	the	the	DET
ejpam-493	61	5	earlier	early	ADJ
ejpam-493	61	6	investigation	investigation	NOUN
ejpam-493	61	7	by	by	ADP
ejpam-493	61	8	goodman	goodman	PROPN
ejpam-493	61	9	[	[	X
ejpam-493	61	10	4	4	NUM
ejpam-493	61	11	]	]	PUNCT
ejpam-493	61	12	,	,	PUNCT
ejpam-493	61	13	ruscheweyh	ruscheweyh	VERB
ejpam-493	62	1	[	[	X
ejpam-493	62	2	5	5	NUM
ejpam-493	62	3	]	]	PUNCT
ejpam-493	62	4	,	,	PUNCT
ejpam-493	62	5	and	and	CCONJ
ejpam-493	62	6	others	other	NOUN
ejpam-493	62	7	we	we	PRON
ejpam-493	62	8	define	define	VERB
ejpam-493	62	9	the	the	DET
ejpam-493	62	10	(	(	PUNCT
ejpam-493	62	11	n	n	CCONJ
ejpam-493	62	12	,	,	PUNCT
ejpam-493	62	13	δ)−	δ)−	ADJ
ejpam-493	62	14	neighborhood	neighborhood	NOUN
ejpam-493	62	15	of	of	ADP
ejpam-493	62	16	a	a	DET
ejpam-493	62	17	function	function	NOUN
ejpam-493	62	18	f	f	NOUN
ejpam-493	62	19	(	(	PUNCT
ejpam-493	62	20	z	z	NOUN
ejpam-493	62	21	)	)	PUNCT
ejpam-493	62	22	of	of	ADP
ejpam-493	62	23	the	the	DET
ejpam-493	62	24	form	form	NOUN
ejpam-493	62	25	(	(	PUNCT
ejpam-493	62	26	3	3	NUM
ejpam-493	62	27	)	)	PUNCT
ejpam-493	62	28	by	by	ADP
ejpam-493	62	29	nn	nn	PROPN
ejpam-493	62	30	,	,	PUNCT
ejpam-493	62	31	δ	δ	PROPN
ejpam-493	62	32	(	(	PUNCT
ejpam-493	62	33	f	f	PROPN
ejpam-493	62	34	)	)	PUNCT
ejpam-493	62	35	=	=	SYM
ejpam-493	62	36	(	(	PUNCT
ejpam-493	62	37	g(z	g(z	PROPN
ejpam-493	62	38	)	)	PUNCT
ejpam-493	62	39	=	=	PUNCT
ejpam-493	62	40	zp	zp	PROPN
ejpam-493	62	41	−	−	PROPN
ejpam-493	62	42	∞	∞	PROPN
ejpam-493	62	43	∑	∑	PROPN
ejpam-493	62	44	k	k	X
ejpam-493	62	45	=	=	NOUN
ejpam-493	62	46	n	n	PRON
ejpam-493	62	47	bkzk	bkzk	NOUN
ejpam-493	62	48	∈	∈	NOUN
ejpam-493	62	49	tp(n	tp(n	NOUN
ejpam-493	62	50	)	)	PUNCT
ejpam-493	62	51	:	:	PUNCT
ejpam-493	63	1	∞	∞	NUM
ejpam-493	63	2	∑	∑	PUNCT
ejpam-493	63	3	k	k	X
ejpam-493	63	4	=	=	PROPN
ejpam-493	63	5	n	n	SYM
ejpam-493	63	6	k	k	PROPN
ejpam-493	63	7	�	�	PROPN
ejpam-493	63	8	�	�	PROPN
ejpam-493	63	9	ak	ak	PROPN
ejpam-493	63	10	−	−	PROPN
ejpam-493	63	11	bk	bk	PROPN
ejpam-493	63	12	�	�	PROPN
ejpam-493	63	13	�	�	PROPN
ejpam-493	63	14	≤	≤	PROPN
ejpam-493	63	15	δ	δ	PROPN
ejpam-493	63	16	)	)	PUNCT
ejpam-493	63	17	.	.	PUNCT
ejpam-493	64	1	(	(	PUNCT
ejpam-493	64	2	7	7	X
ejpam-493	64	3	)	)	PUNCT
ejpam-493	64	4	in	in	ADP
ejpam-493	64	5	particular	particular	ADJ
ejpam-493	64	6	,	,	PUNCT
ejpam-493	64	7	if	if	SCONJ
ejpam-493	64	8	h(z	h(z	NOUN
ejpam-493	64	9	)	)	PUNCT
ejpam-493	64	10	=	=	SYM
ejpam-493	64	11	zp	zp	X
ejpam-493	64	12	(	(	PUNCT
ejpam-493	64	13	p	p	NOUN
ejpam-493	64	14	∈	∈	PROPN
ejpam-493	64	15	n	n	CCONJ
ejpam-493	64	16	)	)	PUNCT
ejpam-493	64	17	,	,	PUNCT
ejpam-493	64	18	we	we	PRON
ejpam-493	64	19	immediately	immediately	ADV
ejpam-493	64	20	have	have	VERB
ejpam-493	64	21	nn	nn	PROPN
ejpam-493	64	22	,	,	PUNCT
ejpam-493	64	23	δ(h	δ(h	PROPN
ejpam-493	64	24	)	)	PUNCT
ejpam-493	64	25	=	=	SYM
ejpam-493	64	26	(	(	PUNCT
ejpam-493	64	27	g(z	g(z	PROPN
ejpam-493	64	28	)	)	PUNCT
ejpam-493	65	1	=	=	PUNCT
ejpam-493	65	2	zp	zp	PROPN
ejpam-493	65	3	−	−	PROPN
ejpam-493	65	4	∞	∞	PROPN
ejpam-493	65	5	∑	∑	PROPN
ejpam-493	65	6	k	k	X
ejpam-493	65	7	=	=	NOUN
ejpam-493	65	8	n	n	PRON
ejpam-493	65	9	bkzk	bkzk	NOUN
ejpam-493	65	10	∈	∈	NOUN
ejpam-493	65	11	tp(n	tp(n	NOUN
ejpam-493	65	12	)	)	PUNCT
ejpam-493	65	13	:	:	PUNCT
ejpam-493	66	1	∞	∞	NUM
ejpam-493	66	2	∑	∑	PUNCT
ejpam-493	66	3	k	k	X
ejpam-493	66	4	=	=	PROPN
ejpam-493	66	5	n	n	SYM
ejpam-493	66	6	k	k	PROPN
ejpam-493	66	7	�	�	PROPN
ejpam-493	66	8	�	�	PROPN
ejpam-493	66	9	bk	bk	PROPN
ejpam-493	66	10	�	�	PROPN
ejpam-493	66	11	�	�	PROPN
ejpam-493	66	12	≤	≤	PROPN
ejpam-493	66	13	δ	δ	PROPN
ejpam-493	66	14	)	)	PUNCT
ejpam-493	66	15	.	.	PUNCT
ejpam-493	67	1	(	(	PUNCT
ejpam-493	67	2	8)	8)	NUM
ejpam-493	67	3	the	the	DET
ejpam-493	67	4	neighborhoods	neighborhood	NOUN
ejpam-493	67	5	of	of	ADP
ejpam-493	67	6	function	function	NOUN
ejpam-493	67	7	was	be	AUX
ejpam-493	67	8	studied	study	VERB
ejpam-493	67	9	among	among	ADP
ejpam-493	67	10	others	other	NOUN
ejpam-493	67	11	by	by	ADP
ejpam-493	67	12	altintas	altintas	PROPN
ejpam-493	67	13	et	et	PROPN
ejpam-493	67	14	al	al	PROPN
ejpam-493	67	15	.	.	PUNCT
ejpam-493	68	1	(	(	PUNCT
ejpam-493	68	2	[	[	X
ejpam-493	68	3	6	6	NUM
ejpam-493	68	4	]	]	PUNCT
ejpam-493	68	5	,	,	PUNCT
ejpam-493	68	6	[	[	X
ejpam-493	68	7	7	7	X
ejpam-493	68	8	]	]	PUNCT
ejpam-493	68	9	and	and	CCONJ
ejpam-493	68	10	[	[	X
ejpam-493	68	11	8	8	NUM
ejpam-493	68	12	]	]	NUM
ejpam-493	68	13	)	)	PUNCT
ejpam-493	68	14	,	,	PUNCT
ejpam-493	68	15	srivastava	srivastava	PROPN
ejpam-493	68	16	et	et	PROPN
ejpam-493	68	17	al	al	PROPN
ejpam-493	68	18	.	.	PUNCT
ejpam-493	69	1	(	(	PUNCT
ejpam-493	69	2	[	[	X
ejpam-493	69	3	2	2	NUM
ejpam-493	69	4	]	]	PUNCT
ejpam-493	69	5	,	,	PUNCT
ejpam-493	69	6	[	[	X
ejpam-493	69	7	3	3	NUM
ejpam-493	69	8	]	]	PUNCT
ejpam-493	69	9	,	,	PUNCT
ejpam-493	70	1	[	[	X
ejpam-493	70	2	9]and	9]and	NUM
ejpam-493	70	3	[	[	X
ejpam-493	70	4	10	10	NUM
ejpam-493	70	5	]	]	PUNCT
ejpam-493	70	6	)	)	PUNCT
ejpam-493	70	7	and	and	CCONJ
ejpam-493	70	8	aouf	aouf	PROPN
ejpam-493	71	1	[	[	X
ejpam-493	71	2	11	11	NUM
ejpam-493	71	3	]	]	PUNCT
ejpam-493	71	4	(	(	PUNCT
ejpam-493	71	5	see	see	VERB
ejpam-493	71	6	also	also	ADV
ejpam-493	71	7	prajapart	prajapart	VERB
ejpam-493	71	8	and	and	CCONJ
ejpam-493	71	9	raina	raina	VERB
ejpam-493	72	1	[	[	X
ejpam-493	72	2	12	12	NUM
ejpam-493	72	3	]	]	PUNCT
ejpam-493	72	4	)	)	PUNCT
ejpam-493	72	5	.	.	PUNCT
ejpam-493	73	1	in	in	ADP
ejpam-493	73	2	this	this	DET
ejpam-493	73	3	paper	paper	NOUN
ejpam-493	73	4	we	we	PRON
ejpam-493	73	5	obtain	obtain	VERB
ejpam-493	73	6	the	the	DET
ejpam-493	73	7	coefficient	coefficient	NOUN
ejpam-493	73	8	estimates	estimate	NOUN
ejpam-493	73	9	and	and	CCONJ
ejpam-493	73	10	the	the	DET
ejpam-493	73	11	consequent	consequent	ADJ
ejpam-493	73	12	inclusion	inclusion	NOUN
ejpam-493	73	13	relationships	relationship	NOUN
ejpam-493	73	14	involving	involve	VERB
ejpam-493	73	15	the	the	DET
ejpam-493	73	16	neighborhoods	neighborhood	NOUN
ejpam-493	73	17	of	of	ADP
ejpam-493	73	18	some	some	DET
ejpam-493	73	19	analytic	analytic	ADJ
ejpam-493	73	20	functions	function	NOUN
ejpam-493	73	21	.	.	PUNCT
ejpam-493	74	1	2	2	X
ejpam-493	74	2	.	.	X
ejpam-493	74	3	coefficient	coefficient	NOUN
ejpam-493	74	4	estimates	estimate	NOUN
ejpam-493	74	5	in	in	ADP
ejpam-493	74	6	our	our	PRON
ejpam-493	74	7	investigation	investigation	NOUN
ejpam-493	74	8	of	of	ADP
ejpam-493	74	9	the	the	DET
ejpam-493	74	10	inclusion	inclusion	NOUN
ejpam-493	74	11	relations	relation	NOUN
ejpam-493	74	12	involving	involve	VERB
ejpam-493	74	13	nn	nn	PROPN
ejpam-493	74	14	,	,	PUNCT
ejpam-493	74	15	δ(h	δ(h	PROPN
ejpam-493	74	16	)	)	PUNCT
ejpam-493	74	17	,	,	PUNCT
ejpam-493	74	18	we	we	PRON
ejpam-493	74	19	shall	shall	AUX
ejpam-493	74	20	require	require	VERB
ejpam-493	74	21	theorems	theorem	NOUN
ejpam-493	74	22	1	1	NUM
ejpam-493	74	23	and	and	CCONJ
ejpam-493	74	24	2	2	NUM
ejpam-493	74	25	below	below	ADV
ejpam-493	74	26	.	.	PUNCT
ejpam-493	75	1	theorem	theorem	NOUN
ejpam-493	75	2	1	1	NUM
ejpam-493	75	3	.	.	PUNCT
ejpam-493	76	1	let	let	VERB
ejpam-493	76	2	the	the	DET
ejpam-493	76	3	function	function	NOUN
ejpam-493	76	4	f	f	PROPN
ejpam-493	76	5	(	(	PUNCT
ejpam-493	76	6	z	z	NOUN
ejpam-493	76	7	)	)	PUNCT
ejpam-493	76	8	∈	∈	PROPN
ejpam-493	76	9	tp(n	tp(n	NOUN
ejpam-493	76	10	)	)	PUNCT
ejpam-493	76	11	be	be	AUX
ejpam-493	76	12	defined	define	VERB
ejpam-493	76	13	by	by	ADP
ejpam-493	76	14	(	(	PUNCT
ejpam-493	76	15	3	3	NUM
ejpam-493	76	16	)	)	PUNCT
ejpam-493	76	17	.	.	PUNCT
ejpam-493	77	1	then	then	ADV
ejpam-493	77	2	f	f	X
ejpam-493	77	3	(	(	PUNCT
ejpam-493	77	4	z	z	NOUN
ejpam-493	77	5	)	)	PUNCT
ejpam-493	77	6	is	be	AUX
ejpam-493	77	7	in	in	ADP
ejpam-493	77	8	the	the	DET
ejpam-493	77	9	class	class	NOUN
ejpam-493	77	10	s(p	s(p	PROPN
ejpam-493	77	11	,	,	PUNCT
ejpam-493	77	12	n	n	CCONJ
ejpam-493	77	13	,	,	PUNCT
ejpam-493	77	14	q	q	X
ejpam-493	77	15	,	,	PUNCT
ejpam-493	77	16	λ	λ	PROPN
ejpam-493	77	17	,	,	PUNCT
ejpam-493	77	18	β	β	NOUN
ejpam-493	77	19	)	)	PUNCT
ejpam-493	77	20	if	if	SCONJ
ejpam-493	77	21	and	and	CCONJ
ejpam-493	77	22	only	only	ADV
ejpam-493	77	23	if	if	SCONJ
ejpam-493	77	24	∞	∞	PROPN
ejpam-493	77	25	∑	∑	PUNCT
ejpam-493	77	26	k	k	X
ejpam-493	77	27	=	=	PROPN
ejpam-493	77	28	n	n	X
ejpam-493	77	29	(	(	PUNCT
ejpam-493	77	30	k+	k+	X
ejpam-493	77	31	β	β	X
ejpam-493	77	32	−	−	NOUN
ejpam-493	77	33	p)ckak	p)ckak	NOUN
ejpam-493	77	34	≤	≤	NUM
ejpam-493	77	35	βcp	βcp	PRON
ejpam-493	77	36	,	,	PUNCT
ejpam-493	77	37	(	(	PUNCT
ejpam-493	77	38	9	9	X
ejpam-493	77	39	)	)	PUNCT
ejpam-493	77	40	m.	m.	NOUN
ejpam-493	77	41	aouf	aouf	PROPN
ejpam-493	77	42	and	and	CCONJ
ejpam-493	77	43	j.	j.	PROPN
ejpam-493	77	44	dziok	dziok	PROPN
ejpam-493	77	45	/	/	PUNCT
ejpam-493	77	46	eur	eur	PROPN
ejpam-493	77	47	.	.	PUNCT
ejpam-493	78	1	j.	j.	PROPN
ejpam-493	78	2	pure	pure	PROPN
ejpam-493	78	3	appl	appl	PROPN
ejpam-493	78	4	.	.	PROPN
ejpam-493	78	5	math	math	PROPN
ejpam-493	78	6	,	,	PUNCT
ejpam-493	78	7	2	2	NUM
ejpam-493	78	8	(	(	PUNCT
ejpam-493	78	9	2009	2009	NUM
ejpam-493	78	10	)	)	PUNCT
ejpam-493	78	11	,	,	PUNCT
ejpam-493	78	12	(	(	PUNCT
ejpam-493	78	13	544	544	NUM
ejpam-493	78	14	-	-	SYM
ejpam-493	78	15	553	553	NUM
ejpam-493	78	16	)	)	PUNCT
ejpam-493	78	17	548	548	NUM
ejpam-493	78	18	where	where	SCONJ
ejpam-493	78	19	ck	ck	ADV
ejpam-493	79	1	=	=	PUNCT
ejpam-493	80	1	[	[	X
ejpam-493	80	2	1+λ(k−	1+λ(k−	NUM
ejpam-493	80	3	q−	q−	PROPN
ejpam-493	80	4	1	1	NUM
ejpam-493	80	5	)	)	PUNCT
ejpam-493	80	6	]	]	PUNCT
ejpam-493	80	7	�	�	PROPN
ejpam-493	80	8	k−	k−	PROPN
ejpam-493	80	9	q+	q+	ADP
ejpam-493	80	10	1	1	NUM
ejpam-493	80	11	�	�	PROPN
ejpam-493	80	12	q	q	PROPN
ejpam-493	80	13	γk	γk	PROPN
ejpam-493	80	14	(	(	PUNCT
ejpam-493	80	15	10	10	NUM
ejpam-493	80	16	)	)	PUNCT
ejpam-493	80	17	and	and	CCONJ
ejpam-493	80	18	γk	γk	PROPN
ejpam-493	80	19	is	be	AUX
ejpam-493	80	20	given	give	VERB
ejpam-493	80	21	by	by	ADP
ejpam-493	80	22	(	(	PUNCT
ejpam-493	80	23	2	2	NUM
ejpam-493	80	24	)	)	PUNCT
ejpam-493	80	25	.	.	PUNCT
ejpam-493	81	1	proof	proof	NOUN
ejpam-493	81	2	.	.	PUNCT
ejpam-493	82	1	let	let	VERB
ejpam-493	82	2	a	a	DET
ejpam-493	82	3	function	function	NOUN
ejpam-493	82	4	f	f	X
ejpam-493	82	5	(	(	PUNCT
ejpam-493	82	6	z	z	NOUN
ejpam-493	82	7	)	)	PUNCT
ejpam-493	82	8	of	of	ADP
ejpam-493	82	9	the	the	DET
ejpam-493	82	10	form	form	NOUN
ejpam-493	82	11	(	(	PUNCT
ejpam-493	82	12	3	3	X
ejpam-493	82	13	)	)	PUNCT
ejpam-493	82	14	belong	belong	VERB
ejpam-493	82	15	to	to	ADP
ejpam-493	82	16	the	the	DET
ejpam-493	82	17	class	class	NOUN
ejpam-493	82	18	s(p	s(p	PROPN
ejpam-493	82	19	,	,	PUNCT
ejpam-493	82	20	n	n	CCONJ
ejpam-493	82	21	,	,	PUNCT
ejpam-493	82	22	q	q	X
ejpam-493	82	23	,	,	PUNCT
ejpam-493	82	24	λ	λ	PROPN
ejpam-493	82	25	,	,	PUNCT
ejpam-493	82	26	β	β	NOUN
ejpam-493	82	27	)	)	PUNCT
ejpam-493	82	28	.	.	PUNCT
ejpam-493	83	1	then	then	ADV
ejpam-493	83	2	,	,	PUNCT
ejpam-493	83	3	in	in	ADP
ejpam-493	83	4	view	view	NOUN
ejpam-493	83	5	of	of	ADP
ejpam-493	83	6	(	(	PUNCT
ejpam-493	83	7	3	3	NUM
ejpam-493	83	8	)	)	PUNCT
ejpam-493	83	9	and	and	CCONJ
ejpam-493	83	10	(	(	PUNCT
ejpam-493	83	11	4	4	NUM
ejpam-493	83	12	)	)	PUNCT
ejpam-493	83	13	,	,	PUNCT
ejpam-493	83	14	we	we	PRON
ejpam-493	83	15	obtain	obtain	VERB
ejpam-493	83	16	the	the	DET
ejpam-493	83	17	following	follow	VERB
ejpam-493	83	18	inequality	inequality	NOUN
ejpam-493	83	19	:	:	PUNCT
ejpam-493	83	20	re	re	X
ejpam-493	83	21	(	(	PUNCT
ejpam-493	83	22	z(h	z(h	PROPN
ejpam-493	83	23	p	p	NOUN
ejpam-493	83	24	r	r	PROPN
ejpam-493	83	25	,	,	PUNCT
ejpam-493	83	26	s	s	NOUN
ejpam-493	83	27	f	f	NOUN
ejpam-493	83	28	)	)	PUNCT
ejpam-493	83	29	(	(	PUNCT
ejpam-493	83	30	1+q)(z	1+q)(z	NUM
ejpam-493	83	31	)	)	PUNCT
ejpam-493	84	1	+	+	PROPN
ejpam-493	84	2	λz2(h	λz2(h	PROPN
ejpam-493	84	3	p	p	ADJ
ejpam-493	84	4	r	r	NOUN
ejpam-493	84	5	,	,	PUNCT
ejpam-493	84	6	s	s	NOUN
ejpam-493	84	7	f	f	NOUN
ejpam-493	84	8	)	)	PUNCT
ejpam-493	84	9	(	(	PUNCT
ejpam-493	84	10	2+q)(z	2+q)(z	NUM
ejpam-493	84	11	)	)	PUNCT
ejpam-493	84	12	λz(h	λz(h	PUNCT
ejpam-493	84	13	p	p	X
ejpam-493	84	14	r	r	PROPN
ejpam-493	84	15	,	,	PUNCT
ejpam-493	84	16	s	s	NOUN
ejpam-493	84	17	f	f	NOUN
ejpam-493	84	18	)	)	PUNCT
ejpam-493	84	19	(	(	PUNCT
ejpam-493	84	20	1+q)(z	1+q)(z	NUM
ejpam-493	84	21	)	)	PUNCT
ejpam-493	85	1	+	+	CCONJ
ejpam-493	85	2	(	(	PUNCT
ejpam-493	85	3	1−λ)(h	1−λ)(h	NUM
ejpam-493	85	4	p	p	NOUN
ejpam-493	85	5	r	r	NOUN
ejpam-493	85	6	,	,	PUNCT
ejpam-493	85	7	s	s	NOUN
ejpam-493	85	8	f	f	NOUN
ejpam-493	85	9	)	)	PUNCT
ejpam-493	85	10	(	(	PUNCT
ejpam-493	85	11	q)(z	q)(z	NOUN
ejpam-493	85	12	)	)	PUNCT
ejpam-493	85	13	−	−	PROPN
ejpam-493	85	14	(	(	PUNCT
ejpam-493	85	15	p−	p−	NOUN
ejpam-493	85	16	q	q	NOUN
ejpam-493	85	17	)	)	PUNCT
ejpam-493	85	18	)	)	PUNCT
ejpam-493	85	19	>	>	X
ejpam-493	86	1	−β	−β	PROPN
ejpam-493	86	2	(	(	PUNCT
ejpam-493	86	3	z	z	NOUN
ejpam-493	86	4	∈	∈	PROPN
ejpam-493	86	5	u	u	NOUN
ejpam-493	86	6	)	)	PUNCT
ejpam-493	86	7	,	,	PUNCT
ejpam-493	86	8	or	or	CCONJ
ejpam-493	86	9	,	,	PUNCT
ejpam-493	86	10	equivalently	equivalently	ADV
ejpam-493	86	11	,	,	PUNCT
ejpam-493	86	12	re	re	VERB
ejpam-493	86	13			NOUN
ejpam-493	86	14			X
ejpam-493	86	15			PRON
ejpam-493	86	16			ADJ
ejpam-493	86	17			NOUN
ejpam-493	86	18	−	−	PROPN
ejpam-493	86	19	∞	∞	PROPN
ejpam-493	86	20	∑	∑	PUNCT
ejpam-493	86	21	k	k	X
ejpam-493	86	22	=	=	PROPN
ejpam-493	86	23	n	n	SYM
ejpam-493	86	24	(	(	PUNCT
ejpam-493	86	25	k−	k−	NOUN
ejpam-493	86	26	p)ckakzk−p	p)ckakzk−p	NOUN
ejpam-493	86	27	cp	cp	INTJ
ejpam-493	86	28	−	−	PROPN
ejpam-493	86	29	∞	∞	PROPN
ejpam-493	86	30	∑	∑	PROPN
ejpam-493	86	31	k	k	X
ejpam-493	86	32	=	=	NOUN
ejpam-493	86	33	n	n	PRON
ejpam-493	86	34	ckakzk−p	ckakzk−p	NOUN
ejpam-493	86	35			PROPN
ejpam-493	86	36			PROPN
ejpam-493	87	1			PROPN
ejpam-493	87	2			ADJ
ejpam-493	87	3			NOUN
ejpam-493	87	4	>	>	X
ejpam-493	87	5	−β	−β	PROPN
ejpam-493	87	6	(	(	PUNCT
ejpam-493	87	7	z	z	NOUN
ejpam-493	87	8	∈	∈	PROPN
ejpam-493	87	9	u	u	NOUN
ejpam-493	87	10	)	)	PUNCT
ejpam-493	87	11	.	.	PUNCT
ejpam-493	88	1	setting	set	VERB
ejpam-493	88	2	z	z	NOUN
ejpam-493	88	3	=	=	SYM
ejpam-493	88	4	r	r	NOUN
ejpam-493	88	5	(	(	PUNCT
ejpam-493	88	6	0≤	0≤	NUM
ejpam-493	88	7	r	r	NOUN
ejpam-493	88	8	<	<	X
ejpam-493	88	9	1	1	NUM
ejpam-493	88	10	)	)	PUNCT
ejpam-493	88	11	we	we	PRON
ejpam-493	88	12	obtain	obtain	VERB
ejpam-493	88	13	∞	∞	PROPN
ejpam-493	88	14	∑	∑	PROPN
ejpam-493	88	15	k	k	X
ejpam-493	88	16	=	=	PROPN
ejpam-493	88	17	n	n	PRON
ejpam-493	88	18	(	(	PUNCT
ejpam-493	88	19	k−	k−	PROPN
ejpam-493	88	20	p)ckak	p)ckak	ADJ
ejpam-493	88	21	rk−p	rk−p	NOUN
ejpam-493	88	22	cp	cp	INTJ
ejpam-493	89	1	−	−	PROPN
ejpam-493	90	1	∞	∞	PROPN
ejpam-493	90	2	∑	∑	PROPN
ejpam-493	90	3	k	k	X
ejpam-493	90	4	=	=	NOUN
ejpam-493	90	5	n	n	PRON
ejpam-493	90	6	ckak	ckak	VERB
ejpam-493	90	7	rk−p	rk−p	NOUN
ejpam-493	90	8	<	<	X
ejpam-493	90	9	β	β	X
ejpam-493	90	10	(	(	PUNCT
ejpam-493	90	11	0≤	0≤	NUM
ejpam-493	90	12	r	r	NOUN
ejpam-493	90	13	<	<	X
ejpam-493	90	14	1	1	NUM
ejpam-493	90	15	)	)	PUNCT
ejpam-493	90	16	.	.	PUNCT
ejpam-493	91	1	we	we	PRON
ejpam-493	91	2	observe	observe	VERB
ejpam-493	91	3	that	that	SCONJ
ejpam-493	91	4	the	the	DET
ejpam-493	91	5	expression	expression	NOUN
ejpam-493	91	6	in	in	ADP
ejpam-493	91	7	the	the	DET
ejpam-493	91	8	denominator	denominator	NOUN
ejpam-493	91	9	of	of	ADP
ejpam-493	91	10	the	the	DET
ejpam-493	91	11	left	left	ADJ
ejpam-493	91	12	-	-	PUNCT
ejpam-493	91	13	hand	hand	NOUN
ejpam-493	91	14	side	side	NOUN
ejpam-493	91	15	of	of	ADP
ejpam-493	91	16	is	be	AUX
ejpam-493	91	17	positive	positive	ADJ
ejpam-493	91	18	for	for	ADP
ejpam-493	91	19	r	r	NOUN
ejpam-493	91	20	=	=	SYM
ejpam-493	91	21	0	0	NUM
ejpam-493	91	22	and	and	CCONJ
ejpam-493	91	23	also	also	ADV
ejpam-493	91	24	for	for	ADP
ejpam-493	91	25	0	0	NUM
ejpam-493	91	26	<	<	X
ejpam-493	91	27	r	r	X
ejpam-493	91	28	<	<	X
ejpam-493	91	29	1	1	NUM
ejpam-493	91	30	.	.	PUNCT
ejpam-493	92	1	thus	thus	ADV
ejpam-493	92	2	we	we	PRON
ejpam-493	92	3	have	have	VERB
ejpam-493	92	4	∞	∞	PROPN
ejpam-493	92	5	∑	∑	PROPN
ejpam-493	92	6	k	k	X
ejpam-493	92	7	=	=	PROPN
ejpam-493	92	8	n	n	X
ejpam-493	92	9	(	(	PUNCT
ejpam-493	92	10	k+	k+	X
ejpam-493	92	11	β	β	X
ejpam-493	92	12	−	−	NOUN
ejpam-493	92	13	p)ckak	p)ckak	ADJ
ejpam-493	92	14	rk−p	rk−p	NOUN
ejpam-493	92	15	≤	≤	PUNCT
ejpam-493	92	16	βcp	βcp	NOUN
ejpam-493	92	17	,	,	PUNCT
ejpam-493	92	18	and	and	CCONJ
ejpam-493	92	19	,	,	PUNCT
ejpam-493	92	20	by	by	ADP
ejpam-493	92	21	letting	let	VERB
ejpam-493	92	22	r	r	NOUN
ejpam-493	92	23	→	→	SYM
ejpam-493	92	24	1−	1−	NUM
ejpam-493	92	25	through	through	ADP
ejpam-493	92	26	real	real	ADJ
ejpam-493	92	27	values	value	NOUN
ejpam-493	92	28	,	,	PUNCT
ejpam-493	92	29	we	we	PRON
ejpam-493	92	30	obtain	obtain	VERB
ejpam-493	92	31	the	the	DET
ejpam-493	92	32	desired	desire	VERB
ejpam-493	92	33	assertion	assertion	NOUN
ejpam-493	92	34	of	of	ADP
ejpam-493	92	35	theorem	theorem	NOUN
ejpam-493	92	36	1	1	NUM
ejpam-493	92	37	.	.	PUNCT
ejpam-493	92	38	conversely	conversely	ADV
ejpam-493	92	39	,	,	PUNCT
ejpam-493	92	40	by	by	ADP
ejpam-493	92	41	applying	apply	VERB
ejpam-493	92	42	the	the	DET
ejpam-493	92	43	hypothesis	hypothesis	NOUN
ejpam-493	92	44	(	(	PUNCT
ejpam-493	92	45	9	9	NUM
ejpam-493	92	46	)	)	PUNCT
ejpam-493	92	47	and	and	CCONJ
ejpam-493	92	48	letting	let	VERB
ejpam-493	92	49	|z|	|z|	NOUN
ejpam-493	92	50	=	=	SYM
ejpam-493	92	51	1	1	NUM
ejpam-493	92	52	,	,	PUNCT
ejpam-493	92	53	we	we	PRON
ejpam-493	92	54	find	find	VERB
ejpam-493	92	55	from	from	ADP
ejpam-493	92	56	(	(	PUNCT
ejpam-493	92	57	3	3	NUM
ejpam-493	92	58	)	)	PUNCT
ejpam-493	92	59	that	that	PRON
ejpam-493	92	60	�	�	PROPN
ejpam-493	92	61	�	�	PROPN
ejpam-493	92	62	�	�	PROPN
ejpam-493	92	63	�	�	PROPN
ejpam-493	92	64	�	�	PROPN
ejpam-493	92	65	z(h	z(h	PROPN
ejpam-493	92	66	p	p	NOUN
ejpam-493	92	67	r	r	NOUN
ejpam-493	92	68	,	,	PUNCT
ejpam-493	92	69	s	s	NOUN
ejpam-493	92	70	f	f	NOUN
ejpam-493	92	71	)	)	PUNCT
ejpam-493	92	72	(	(	PUNCT
ejpam-493	92	73	1+q)(z	1+q)(z	NUM
ejpam-493	92	74	)	)	PUNCT
ejpam-493	93	1	+	+	PROPN
ejpam-493	93	2	λz2(h	λz2(h	PROPN
ejpam-493	93	3	p	p	ADJ
ejpam-493	93	4	r	r	NOUN
ejpam-493	93	5	,	,	PUNCT
ejpam-493	93	6	s	s	NOUN
ejpam-493	93	7	f	f	NOUN
ejpam-493	93	8	)	)	PUNCT
ejpam-493	93	9	(	(	PUNCT
ejpam-493	93	10	2+q)(z	2+q)(z	NUM
ejpam-493	93	11	)	)	PUNCT
ejpam-493	93	12	λz(h	λz(h	PUNCT
ejpam-493	93	13	p	p	X
ejpam-493	93	14	r	r	PROPN
ejpam-493	93	15	,	,	PUNCT
ejpam-493	93	16	s	s	NOUN
ejpam-493	93	17	f	f	NOUN
ejpam-493	93	18	)	)	PUNCT
ejpam-493	93	19	(	(	PUNCT
ejpam-493	93	20	1+q)(z	1+q)(z	NUM
ejpam-493	93	21	)	)	PUNCT
ejpam-493	94	1	+	+	CCONJ
ejpam-493	94	2	(	(	PUNCT
ejpam-493	94	3	1−λ)(h	1−λ)(h	NUM
ejpam-493	94	4	p	p	NOUN
ejpam-493	94	5	r	r	NOUN
ejpam-493	94	6	,	,	PUNCT
ejpam-493	94	7	s	s	NOUN
ejpam-493	94	8	f	f	NOUN
ejpam-493	94	9	)	)	PUNCT
ejpam-493	94	10	(	(	PUNCT
ejpam-493	94	11	q)(z	q)(z	NOUN
ejpam-493	94	12	)	)	PUNCT
ejpam-493	94	13	−	−	PROPN
ejpam-493	94	14	(	(	PUNCT
ejpam-493	94	15	p−	p−	NOUN
ejpam-493	94	16	q	q	NOUN
ejpam-493	94	17	)	)	PUNCT
ejpam-493	94	18	�	�	PROPN
ejpam-493	94	19	�	�	PROPN
ejpam-493	94	20	�	�	PROPN
ejpam-493	94	21	�	�	PROPN
ejpam-493	94	22	�	�	PROPN
ejpam-493	94	23	=	=	SYM
ejpam-493	94	24	�	�	PROPN
ejpam-493	94	25	�	�	PROPN
ejpam-493	94	26	�	�	PROPN
ejpam-493	94	27	�	�	PROPN
ejpam-493	94	28	�	�	PROPN
ejpam-493	94	29	�	�	PROPN
ejpam-493	94	30	�	�	PROPN
ejpam-493	94	31	�	�	PROPN
ejpam-493	94	32	�	�	PROPN
ejpam-493	94	33	∞	∞	PROPN
ejpam-493	94	34	∑	∑	PROPN
ejpam-493	94	35	k	k	X
ejpam-493	94	36	=	=	PROPN
ejpam-493	94	37	n	n	SYM
ejpam-493	94	38	(	(	PUNCT
ejpam-493	94	39	k−	k−	NOUN
ejpam-493	94	40	p)ckakzk−p	p)ckakzk−p	NOUN
ejpam-493	94	41	cp	cp	INTJ
ejpam-493	94	42	−	−	PROPN
ejpam-493	94	43	∞	∞	PROPN
ejpam-493	94	44	∑	∑	PROPN
ejpam-493	94	45	k	k	X
ejpam-493	94	46	=	=	PROPN
ejpam-493	94	47	n	n	PROPN
ejpam-493	94	48	ckakzk−p	ckakzk−p	PROPN
ejpam-493	94	49	�	�	PROPN
ejpam-493	94	50	�	�	PROPN
ejpam-493	94	51	�	�	PROPN
ejpam-493	94	52	�	�	PROPN
ejpam-493	94	53	�	�	PROPN
ejpam-493	94	54	�	�	PROPN
ejpam-493	94	55	�	�	PROPN
ejpam-493	94	56	�	�	PROPN
ejpam-493	94	57	�	�	PROPN
ejpam-493	94	58	m.	m.	PROPN
ejpam-493	94	59	aouf	aouf	PROPN
ejpam-493	94	60	and	and	CCONJ
ejpam-493	94	61	j.	j.	PROPN
ejpam-493	94	62	dziok	dziok	PROPN
ejpam-493	94	63	/	/	PUNCT
ejpam-493	94	64	eur	eur	PROPN
ejpam-493	94	65	.	.	PUNCT
ejpam-493	95	1	j.	j.	PROPN
ejpam-493	95	2	pure	pure	PROPN
ejpam-493	95	3	appl	appl	PROPN
ejpam-493	95	4	.	.	PROPN
ejpam-493	95	5	math	math	PROPN
ejpam-493	95	6	,	,	PUNCT
ejpam-493	95	7	2	2	NUM
ejpam-493	95	8	(	(	PUNCT
ejpam-493	95	9	2009	2009	NUM
ejpam-493	95	10	)	)	PUNCT
ejpam-493	95	11	,	,	PUNCT
ejpam-493	95	12	(	(	PUNCT
ejpam-493	95	13	544	544	NUM
ejpam-493	95	14	-	-	SYM
ejpam-493	95	15	553	553	NUM
ejpam-493	95	16	)	)	PUNCT
ejpam-493	95	17	549	549	NUM
ejpam-493	95	18	≤	≤	NUM
ejpam-493	95	19	∞	∞	NUM
ejpam-493	95	20	∑	∑	PUNCT
ejpam-493	95	21	k	k	X
ejpam-493	95	22	=	=	PROPN
ejpam-493	95	23	n	n	PRON
ejpam-493	95	24	(	(	PUNCT
ejpam-493	95	25	k−	k−	PROPN
ejpam-493	95	26	p)ckak	p)ckak	PUNCT
ejpam-493	96	1	cp	cp	INTJ
ejpam-493	96	2	−	−	PROPN
ejpam-493	96	3	∞	∞	PROPN
ejpam-493	96	4	∑	∑	PROPN
ejpam-493	96	5	k	k	X
ejpam-493	96	6	=	=	NOUN
ejpam-493	96	7	n	n	PRON
ejpam-493	96	8	ckak	ckak	VERB
ejpam-493	96	9	≤	≤	NUM
ejpam-493	96	10	β	β	NOUN
ejpam-493	96	11	cp	cp	NUM
ejpam-493	96	12	−	−	PROPN
ejpam-493	96	13	∞	∞	PROPN
ejpam-493	96	14	∑	∑	PROPN
ejpam-493	96	15	k	k	X
ejpam-493	96	16	=	=	NOUN
ejpam-493	96	17	n	n	PRON
ejpam-493	96	18	ckak	ckak	VERB
ejpam-493	96	19	cp	cp	INTJ
ejpam-493	96	20	−	−	PROPN
ejpam-493	96	21	∞	∞	PROPN
ejpam-493	96	22	∑	∑	PROPN
ejpam-493	96	23	k	k	X
ejpam-493	96	24	=	=	NOUN
ejpam-493	96	25	n	n	PRON
ejpam-493	96	26	ckak	ckak	NOUN
ejpam-493	96	27	=	=	SYM
ejpam-493	96	28	β	β	X
ejpam-493	96	29	.	.	PUNCT
ejpam-493	97	1	hence	hence	ADV
ejpam-493	97	2	,	,	PUNCT
ejpam-493	97	3	by	by	ADP
ejpam-493	97	4	the	the	DET
ejpam-493	97	5	maximum	maximum	ADJ
ejpam-493	97	6	modulus	modulus	NOUN
ejpam-493	97	7	theorem	theorem	NOUN
ejpam-493	97	8	,	,	PUNCT
ejpam-493	97	9	we	we	PRON
ejpam-493	97	10	have	have	VERB
ejpam-493	97	11	f	f	PROPN
ejpam-493	97	12	(	(	PUNCT
ejpam-493	97	13	z	z	NOUN
ejpam-493	97	14	)	)	PUNCT
ejpam-493	97	15	∈	∈	PROPN
ejpam-493	97	16	s(p	s(p	PROPN
ejpam-493	97	17	,	,	PUNCT
ejpam-493	97	18	n	n	CCONJ
ejpam-493	97	19	,	,	PUNCT
ejpam-493	97	20	q	q	X
ejpam-493	97	21	,	,	PUNCT
ejpam-493	97	22	λ	λ	PROPN
ejpam-493	97	23	,	,	PUNCT
ejpam-493	97	24	β	β	NOUN
ejpam-493	97	25	)	)	PUNCT
ejpam-493	97	26	,	,	PUNCT
ejpam-493	97	27	which	which	PRON
ejpam-493	97	28	evidently	evidently	ADV
ejpam-493	97	29	completes	complete	VERB
ejpam-493	97	30	the	the	DET
ejpam-493	97	31	proof	proof	NOUN
ejpam-493	97	32	of	of	ADP
ejpam-493	97	33	theorem	theorem	NOUN
ejpam-493	97	34	1	1	NUM
ejpam-493	97	35	.	.	PUNCT
ejpam-493	97	36	similarly	similarly	ADV
ejpam-493	97	37	,	,	PUNCT
ejpam-493	97	38	we	we	PRON
ejpam-493	97	39	can	can	AUX
ejpam-493	97	40	prove	prove	VERB
ejpam-493	97	41	the	the	DET
ejpam-493	97	42	following	follow	VERB
ejpam-493	97	43	theorem	theorem	VERB
ejpam-493	97	44	.	.	PUNCT
ejpam-493	97	45	theorem	theorem	NOUN
ejpam-493	97	46	2	2	NUM
ejpam-493	97	47	.	.	PUNCT
ejpam-493	98	1	let	let	VERB
ejpam-493	98	2	the	the	DET
ejpam-493	98	3	function	function	NOUN
ejpam-493	98	4	f	f	PROPN
ejpam-493	98	5	(	(	PUNCT
ejpam-493	98	6	z	z	NOUN
ejpam-493	98	7	)	)	PUNCT
ejpam-493	98	8	∈	∈	PROPN
ejpam-493	98	9	tp(n	tp(n	NOUN
ejpam-493	98	10	)	)	PUNCT
ejpam-493	98	11	be	be	AUX
ejpam-493	98	12	given	give	VERB
ejpam-493	98	13	by	by	ADP
ejpam-493	98	14	(	(	PUNCT
ejpam-493	98	15	3	3	NUM
ejpam-493	98	16	)	)	PUNCT
ejpam-493	98	17	.	.	PUNCT
ejpam-493	99	1	then	then	ADV
ejpam-493	99	2	f	f	PROPN
ejpam-493	99	3	(	(	PUNCT
ejpam-493	99	4	z	z	NOUN
ejpam-493	99	5	)	)	PUNCT
ejpam-493	99	6	∈	∈	PROPN
ejpam-493	99	7	p(p	p(p	NOUN
ejpam-493	99	8	,	,	PUNCT
ejpam-493	99	9	n	n	CCONJ
ejpam-493	99	10	,	,	PUNCT
ejpam-493	99	11	q	q	X
ejpam-493	99	12	,	,	PUNCT
ejpam-493	99	13	λ	λ	PROPN
ejpam-493	99	14	,	,	PUNCT
ejpam-493	99	15	β	β	NOUN
ejpam-493	99	16	)	)	PUNCT
ejpam-493	99	17	if	if	SCONJ
ejpam-493	99	18	and	and	CCONJ
ejpam-493	99	19	only	only	ADV
ejpam-493	99	20	if	if	SCONJ
ejpam-493	99	21	∞	∞	PROPN
ejpam-493	99	22	∑	∑	PUNCT
ejpam-493	99	23	k	k	PROPN
ejpam-493	99	24	=	=	PROPN
ejpam-493	99	25	n	n	PRON
ejpam-493	99	26	�	�	PROPN
ejpam-493	99	27	p−	p−	X
ejpam-493	99	28	q+λ	q+λ	PROPN
ejpam-493	99	29	�	�	PROPN
ejpam-493	99	30	k−	k−	PROPN
ejpam-493	99	31	p	p	PROPN
ejpam-493	99	32	�	�	PROPN
ejpam-493	99	33	�	�	PROPN
ejpam-493	99	34	(	(	PUNCT
ejpam-493	99	35	k−	k−	PROPN
ejpam-493	99	36	q+	q+	ADP
ejpam-493	99	37	1)qγkak	1)qγkak	NUM
ejpam-493	99	38	≤	≤	NOUN
ejpam-493	99	39	β	β	X
ejpam-493	99	40	�	�	PROPN
ejpam-493	99	41	p−	p−	PROPN
ejpam-493	99	42	q	q	PROPN
ejpam-493	99	43	�	�	PROPN
ejpam-493	99	44	.	.	PUNCT
ejpam-493	100	1	(	(	PUNCT
ejpam-493	100	2	11	11	NUM
ejpam-493	100	3	)	)	PUNCT
ejpam-493	100	4	where	where	SCONJ
ejpam-493	100	5	γk	γk	PROPN
ejpam-493	100	6	is	be	AUX
ejpam-493	100	7	given	give	VERB
ejpam-493	100	8	by	by	ADP
ejpam-493	100	9	(	(	PUNCT
ejpam-493	100	10	2	2	NUM
ejpam-493	100	11	)	)	PUNCT
ejpam-493	100	12	.	.	PUNCT
ejpam-493	101	1	using	use	VERB
ejpam-493	101	2	theorems	theorem	NOUN
ejpam-493	101	3	1	1	NUM
ejpam-493	101	4	and	and	CCONJ
ejpam-493	101	5	2	2	NUM
ejpam-493	101	6	we	we	PRON
ejpam-493	101	7	obtain	obtain	AUX
ejpam-493	101	8	following	follow	VERB
ejpam-493	101	9	two	two	NUM
ejpam-493	101	10	corollaries	corollary	NOUN
ejpam-493	101	11	.	.	PUNCT
ejpam-493	102	1	corollary	corollary	ADJ
ejpam-493	102	2	1	1	NUM
ejpam-493	102	3	.	.	PUNCT
ejpam-493	103	1	if	if	SCONJ
ejpam-493	103	2	the	the	DET
ejpam-493	103	3	function	function	NOUN
ejpam-493	103	4	f	f	X
ejpam-493	103	5	(	(	PUNCT
ejpam-493	103	6	z	z	NOUN
ejpam-493	103	7	)	)	PUNCT
ejpam-493	103	8	given	give	VERB
ejpam-493	103	9	by	by	ADP
ejpam-493	103	10	(	(	PUNCT
ejpam-493	103	11	3	3	NUM
ejpam-493	103	12	)	)	PUNCT
ejpam-493	103	13	belongs	belong	VERB
ejpam-493	103	14	to	to	ADP
ejpam-493	103	15	the	the	DET
ejpam-493	103	16	class	class	NOUN
ejpam-493	103	17	p(p	p(p	NOUN
ejpam-493	103	18	,	,	PUNCT
ejpam-493	103	19	n	n	CCONJ
ejpam-493	103	20	,	,	PUNCT
ejpam-493	103	21	q	q	X
ejpam-493	103	22	,	,	PUNCT
ejpam-493	103	23	λ	λ	PROPN
ejpam-493	103	24	,	,	PUNCT
ejpam-493	103	25	β	β	NOUN
ejpam-493	103	26	)	)	PUNCT
ejpam-493	103	27	,	,	PUNCT
ejpam-493	103	28	then	then	ADV
ejpam-493	103	29	ak	ak	PROPN
ejpam-493	103	30	≤	≤	ADJ
ejpam-493	103	31	βcp	βcp	PRON
ejpam-493	103	32	(	(	PUNCT
ejpam-493	103	33	k+	k+	NOUN
ejpam-493	103	34	β	β	X
ejpam-493	103	35	−	−	PROPN
ejpam-493	104	1	p)ck	p)ck	PROPN
ejpam-493	104	2	,	,	PUNCT
ejpam-493	104	3	(	(	PUNCT
ejpam-493	104	4	k	k	NOUN
ejpam-493	104	5	=	=	PUNCT
ejpam-493	104	6	n	n	CCONJ
ejpam-493	104	7	,	,	PUNCT
ejpam-493	104	8	n+	n+	ADP
ejpam-493	104	9	1	1	NUM
ejpam-493	104	10	,	,	PUNCT
ejpam-493	104	11	...	...	PUNCT
ejpam-493	104	12	)	)	PUNCT
ejpam-493	104	13	,	,	PUNCT
ejpam-493	104	14	where	where	SCONJ
ejpam-493	104	15	ck	ck	PROPN
ejpam-493	104	16	is	be	AUX
ejpam-493	104	17	given	give	VERB
ejpam-493	104	18	by	by	ADP
ejpam-493	104	19	(	(	PUNCT
ejpam-493	104	20	10	10	NUM
ejpam-493	104	21	)	)	PUNCT
ejpam-493	104	22	.	.	PUNCT
ejpam-493	105	1	the	the	DET
ejpam-493	105	2	result	result	NOUN
ejpam-493	105	3	is	be	AUX
ejpam-493	105	4	sharp	sharp	ADJ
ejpam-493	105	5	.	.	PUNCT
ejpam-493	106	1	corollary	corollary	ADJ
ejpam-493	106	2	2	2	NUM
ejpam-493	106	3	.	.	PUNCT
ejpam-493	107	1	if	if	SCONJ
ejpam-493	107	2	the	the	DET
ejpam-493	107	3	function	function	NOUN
ejpam-493	107	4	f	f	X
ejpam-493	107	5	(	(	PUNCT
ejpam-493	107	6	z	z	NOUN
ejpam-493	107	7	)	)	PUNCT
ejpam-493	107	8	given	give	VERB
ejpam-493	107	9	by	by	ADP
ejpam-493	107	10	(	(	PUNCT
ejpam-493	107	11	3	3	NUM
ejpam-493	107	12	)	)	PUNCT
ejpam-493	107	13	belongs	belong	VERB
ejpam-493	107	14	to	to	ADP
ejpam-493	107	15	the	the	DET
ejpam-493	107	16	class	class	NOUN
ejpam-493	107	17	s(p	s(p	PROPN
ejpam-493	107	18	,	,	PUNCT
ejpam-493	107	19	n	n	CCONJ
ejpam-493	107	20	,	,	PUNCT
ejpam-493	107	21	q	q	X
ejpam-493	107	22	,	,	PUNCT
ejpam-493	107	23	λ	λ	PROPN
ejpam-493	107	24	,	,	PUNCT
ejpam-493	107	25	β	β	NOUN
ejpam-493	107	26	)	)	PUNCT
ejpam-493	107	27	,	,	PUNCT
ejpam-493	107	28	then	then	ADV
ejpam-493	107	29	ak	ak	PROPN
ejpam-493	107	30	≤	≤	PROPN
ejpam-493	107	31	β	β	X
ejpam-493	107	32	�	�	PROPN
ejpam-493	107	33	p−	p−	PROPN
ejpam-493	107	34	q	q	PROPN
ejpam-493	107	35	�	�	PROPN
ejpam-493	107	36	�	�	PROPN
ejpam-493	107	37	p−	p−	PROPN
ejpam-493	107	38	q+λ	q+λ	PROPN
ejpam-493	107	39	�	�	PROPN
ejpam-493	107	40	k−	k−	PROPN
ejpam-493	107	41	p	p	PROPN
ejpam-493	107	42	�	�	PROPN
ejpam-493	107	43	�	�	PROPN
ejpam-493	107	44	(	(	PUNCT
ejpam-493	107	45	k−	k−	PROPN
ejpam-493	107	46	q+	q+	ADP
ejpam-493	107	47	1)qγk	1)qγk	NUM
ejpam-493	107	48	,	,	PUNCT
ejpam-493	107	49	(	(	PUNCT
ejpam-493	107	50	k	k	NOUN
ejpam-493	107	51	=	=	PUNCT
ejpam-493	107	52	n	n	CCONJ
ejpam-493	107	53	,	,	PUNCT
ejpam-493	107	54	n+	n+	ADP
ejpam-493	107	55	1	1	NUM
ejpam-493	107	56	,	,	PUNCT
ejpam-493	107	57	...	...	PUNCT
ejpam-493	107	58	)	)	PUNCT
ejpam-493	107	59	,	,	PUNCT
ejpam-493	107	60	where	where	SCONJ
ejpam-493	107	61	γk	γk	PROPN
ejpam-493	107	62	is	be	AUX
ejpam-493	107	63	given	give	VERB
ejpam-493	107	64	by	by	ADP
ejpam-493	107	65	(	(	PUNCT
ejpam-493	107	66	2	2	NUM
ejpam-493	107	67	)	)	PUNCT
ejpam-493	107	68	.	.	PUNCT
ejpam-493	108	1	the	the	DET
ejpam-493	108	2	result	result	NOUN
ejpam-493	108	3	is	be	AUX
ejpam-493	108	4	sharp	sharp	ADJ
ejpam-493	108	5	.	.	PUNCT
ejpam-493	109	1	3	3	X
ejpam-493	109	2	.	.	X
ejpam-493	109	3	neighborhoods	neighborhood	NOUN
ejpam-493	109	4	properties	property	NOUN
ejpam-493	109	5	our	our	PRON
ejpam-493	109	6	first	first	ADJ
ejpam-493	109	7	inclusion	inclusion	PROPN
ejpam-493	109	8	relation	relation	PROPN
ejpam-493	109	9	nn	nn	PROPN
ejpam-493	109	10	,	,	PUNCT
ejpam-493	109	11	δ(h	δ(h	PROPN
ejpam-493	109	12	)	)	PUNCT
ejpam-493	109	13	is	be	AUX
ejpam-493	109	14	given	give	VERB
ejpam-493	109	15	in	in	ADP
ejpam-493	109	16	the	the	DET
ejpam-493	109	17	following	follow	VERB
ejpam-493	109	18	theorem	theorem	PROPN
ejpam-493	109	19	.	.	PROPN
ejpam-493	109	20	m.	m.	PROPN
ejpam-493	109	21	aouf	aouf	PROPN
ejpam-493	109	22	and	and	CCONJ
ejpam-493	109	23	j.	j.	PROPN
ejpam-493	109	24	dziok	dziok	PROPN
ejpam-493	109	25	/	/	PUNCT
ejpam-493	109	26	eur	eur	PROPN
ejpam-493	109	27	.	.	PUNCT
ejpam-493	110	1	j.	j.	PROPN
ejpam-493	110	2	pure	pure	PROPN
ejpam-493	110	3	appl	appl	PROPN
ejpam-493	110	4	.	.	PROPN
ejpam-493	110	5	math	math	PROPN
ejpam-493	110	6	,	,	PUNCT
ejpam-493	110	7	2	2	NUM
ejpam-493	110	8	(	(	PUNCT
ejpam-493	110	9	2009	2009	NUM
ejpam-493	110	10	)	)	PUNCT
ejpam-493	110	11	,	,	PUNCT
ejpam-493	110	12	(	(	PUNCT
ejpam-493	110	13	544	544	NUM
ejpam-493	110	14	-	-	SYM
ejpam-493	110	15	553	553	NUM
ejpam-493	110	16	)	)	PUNCT
ejpam-493	110	17	550	550	NUM
ejpam-493	110	18	theorem	theorem	NOUN
ejpam-493	110	19	3	3	NUM
ejpam-493	110	20	.	.	PUNCT
ejpam-493	111	1	if	if	SCONJ
ejpam-493	111	2	cn	cn	PROPN
ejpam-493	111	3	≤	≤	X
ejpam-493	112	1	ck	ck	INTJ
ejpam-493	112	2	(	(	PUNCT
ejpam-493	112	3	k	k	NOUN
ejpam-493	112	4	=	=	PUNCT
ejpam-493	112	5	n	n	CCONJ
ejpam-493	112	6	,	,	PUNCT
ejpam-493	112	7	n+	n+	ADP
ejpam-493	112	8	1	1	NUM
ejpam-493	112	9	,	,	PUNCT
ejpam-493	112	10	...	...	PUNCT
ejpam-493	112	11	)	)	PUNCT
ejpam-493	112	12	,	,	PUNCT
ejpam-493	112	13	(	(	PUNCT
ejpam-493	112	14	12	12	NUM
ejpam-493	112	15	)	)	PUNCT
ejpam-493	112	16	then	then	ADV
ejpam-493	112	17	s(p	s(p	PROPN
ejpam-493	112	18	,	,	PUNCT
ejpam-493	112	19	n	n	CCONJ
ejpam-493	112	20	,	,	PUNCT
ejpam-493	112	21	q	q	X
ejpam-493	112	22	,	,	PUNCT
ejpam-493	112	23	λ	λ	PROPN
ejpam-493	112	24	,	,	PUNCT
ejpam-493	112	25	β	β	X
ejpam-493	112	26	)	)	PUNCT
ejpam-493	112	27	⊂	⊂	PROPN
ejpam-493	112	28	nn	nn	PROPN
ejpam-493	112	29	,	,	PUNCT
ejpam-493	112	30	δ(h	δ(h	PROPN
ejpam-493	112	31	)	)	PUNCT
ejpam-493	112	32	,	,	PUNCT
ejpam-493	112	33	(	(	PUNCT
ejpam-493	112	34	13	13	NUM
ejpam-493	112	35	)	)	PUNCT
ejpam-493	112	36	where	where	SCONJ
ejpam-493	112	37	ck	ck	PROPN
ejpam-493	112	38	is	be	AUX
ejpam-493	112	39	given	give	VERB
ejpam-493	112	40	by	by	ADP
ejpam-493	112	41	(	(	PUNCT
ejpam-493	112	42	10	10	NUM
ejpam-493	112	43	)	)	PUNCT
ejpam-493	112	44	and	and	CCONJ
ejpam-493	112	45	δ	δ	PROPN
ejpam-493	112	46	=	=	SYM
ejpam-493	112	47	nβcp	nβcp	NOUN
ejpam-493	112	48	(	(	PUNCT
ejpam-493	112	49	n+	n+	X
ejpam-493	112	50	β	β	X
ejpam-493	112	51	−	−	PROPN
ejpam-493	112	52	p)cn	p)cn	PROPN
ejpam-493	112	53	�	�	PROPN
ejpam-493	112	54	p	p	PROPN
ejpam-493	112	55	≥	≥	PROPN
ejpam-493	112	56	β	β	X
ejpam-493	112	57	�	�	PROPN
ejpam-493	112	58	.	.	PUNCT
ejpam-493	113	1	proof	proof	NOUN
ejpam-493	113	2	.	.	PUNCT
ejpam-493	114	1	let	let	VERB
ejpam-493	114	2	f	f	PROPN
ejpam-493	114	3	(	(	PUNCT
ejpam-493	114	4	z	z	NOUN
ejpam-493	114	5	)	)	PUNCT
ejpam-493	114	6	∈	∈	PROPN
ejpam-493	114	7	s(p	s(p	PROPN
ejpam-493	114	8	,	,	PUNCT
ejpam-493	114	9	n	n	CCONJ
ejpam-493	114	10	,	,	PUNCT
ejpam-493	114	11	q	q	X
ejpam-493	114	12	,	,	PUNCT
ejpam-493	114	13	λ	λ	PROPN
ejpam-493	114	14	,	,	PUNCT
ejpam-493	114	15	β	β	NOUN
ejpam-493	114	16	)	)	PUNCT
ejpam-493	114	17	.	.	PUNCT
ejpam-493	115	1	using	use	VERB
ejpam-493	115	2	theorem	theorem	NOUN
ejpam-493	115	3	1	1	NUM
ejpam-493	115	4	,	,	PUNCT
ejpam-493	115	5	by	by	ADP
ejpam-493	115	6	(	(	PUNCT
ejpam-493	115	7	12	12	NUM
ejpam-493	115	8	)	)	PUNCT
ejpam-493	115	9	,	,	PUNCT
ejpam-493	115	10	we	we	PRON
ejpam-493	115	11	have	have	VERB
ejpam-493	115	12	(	(	PUNCT
ejpam-493	115	13	n+	n+	X
ejpam-493	115	14	β	β	X
ejpam-493	115	15	−	−	PROPN
ejpam-493	116	1	p)cn	p)cn	PROPN
ejpam-493	116	2	∞	∞	PROPN
ejpam-493	116	3	∑	∑	PROPN
ejpam-493	116	4	k	k	X
ejpam-493	116	5	=	=	PROPN
ejpam-493	116	6	n	n	SYM
ejpam-493	116	7	ak	ak	NOUN
ejpam-493	116	8	≤	≤	NUM
ejpam-493	116	9	∞	∞	PROPN
ejpam-493	116	10	∑	∑	PUNCT
ejpam-493	116	11	k	k	X
ejpam-493	116	12	=	=	VERB
ejpam-493	116	13	n	n	X
ejpam-493	116	14	(	(	PUNCT
ejpam-493	116	15	k+	k+	X
ejpam-493	116	16	β	β	X
ejpam-493	116	17	−	−	NOUN
ejpam-493	116	18	p)ckak	p)ckak	NOUN
ejpam-493	116	19	≤	≤	NUM
ejpam-493	116	20	βcp	βcp	NOUN
ejpam-493	116	21	,	,	PUNCT
ejpam-493	116	22	which	which	PRON
ejpam-493	116	23	readily	readily	ADV
ejpam-493	116	24	yields	yield	VERB
ejpam-493	116	25	∞	∞	PROPN
ejpam-493	116	26	∑	∑	PROPN
ejpam-493	116	27	k	k	X
ejpam-493	116	28	=	=	PROPN
ejpam-493	116	29	n	n	PROPN
ejpam-493	116	30	ak	ak	PROPN
ejpam-493	116	31	≤	≤	ADJ
ejpam-493	116	32	βcp	βcp	PRON
ejpam-493	116	33	(	(	PUNCT
ejpam-493	116	34	n+	n+	NUM
ejpam-493	116	35	β	β	X
ejpam-493	116	36	−	−	PROPN
ejpam-493	116	37	p)cn	p)cn	PROPN
ejpam-493	116	38	.	.	PUNCT
ejpam-493	117	1	(	(	PUNCT
ejpam-493	117	2	14	14	X
ejpam-493	117	3	)	)	PUNCT
ejpam-493	117	4	making	make	VERB
ejpam-493	117	5	use	use	NOUN
ejpam-493	117	6	of	of	ADP
ejpam-493	117	7	(	(	PUNCT
ejpam-493	117	8	9	9	NUM
ejpam-493	117	9	)	)	PUNCT
ejpam-493	117	10	again	again	ADV
ejpam-493	117	11	,	,	PUNCT
ejpam-493	117	12	in	in	ADP
ejpam-493	117	13	conjunction	conjunction	NOUN
ejpam-493	117	14	with	with	ADP
ejpam-493	117	15	(	(	PUNCT
ejpam-493	117	16	12	12	NUM
ejpam-493	117	17	)	)	PUNCT
ejpam-493	117	18	and	and	CCONJ
ejpam-493	117	19	(	(	PUNCT
ejpam-493	117	20	14	14	NUM
ejpam-493	117	21	)	)	PUNCT
ejpam-493	117	22	,	,	PUNCT
ejpam-493	117	23	we	we	PRON
ejpam-493	117	24	get	get	VERB
ejpam-493	117	25	cn	cn	PROPN
ejpam-493	117	26	∞	∞	PROPN
ejpam-493	117	27	∑	∑	PROPN
ejpam-493	117	28	k	k	X
ejpam-493	117	29	=	=	PROPN
ejpam-493	117	30	n	n	PRON
ejpam-493	117	31	kak	kak	PROPN
ejpam-493	117	32	≤	≤	PROPN
ejpam-493	117	33	βcp	βcp	PROPN
ejpam-493	118	1	+	+	CCONJ
ejpam-493	118	2	(	(	PUNCT
ejpam-493	118	3	p−	p−	NOUN
ejpam-493	118	4	β)cn	β)cn	PROPN
ejpam-493	118	5	∞	∞	PROPN
ejpam-493	118	6	∑	∑	PUNCT
ejpam-493	118	7	k	k	X
ejpam-493	118	8	=	=	PROPN
ejpam-493	118	9	n	n	PROPN
ejpam-493	118	10	ak	ak	NOUN
ejpam-493	118	11	≤	≤	ADJ
ejpam-493	118	12	βcp	βcp	PRON
ejpam-493	119	1	+	+	CCONJ
ejpam-493	119	2	(	(	PUNCT
ejpam-493	119	3	p−	p−	NOUN
ejpam-493	119	4	β)βcp	β)βcp	NOUN
ejpam-493	119	5	n+	n+	NUM
ejpam-493	119	6	β	β	NOUN
ejpam-493	119	7	−	−	X
ejpam-493	120	1	p	p	NOUN
ejpam-493	120	2	=	=	PUNCT
ejpam-493	120	3	nβcp	nβcp	NOUN
ejpam-493	120	4	n+	n+	ADP
ejpam-493	120	5	β	β	NOUN
ejpam-493	120	6	−	−	NOUN
ejpam-493	120	7	p	p	NOUN
ejpam-493	120	8	hence	hence	ADV
ejpam-493	120	9	∞	∞	PROPN
ejpam-493	120	10	∑	∑	PROPN
ejpam-493	120	11	k	k	X
ejpam-493	120	12	=	=	PROPN
ejpam-493	120	13	n	n	PRON
ejpam-493	120	14	kak	kak	PROPN
ejpam-493	120	15	≤	≤	PROPN
ejpam-493	120	16	nβcp	nβcp	NOUN
ejpam-493	120	17	(	(	PUNCT
ejpam-493	120	18	n+	n+	NUM
ejpam-493	120	19	β	β	X
ejpam-493	120	20	−	−	PROPN
ejpam-493	120	21	p)cn	p)cn	PROPN
ejpam-493	120	22	=	=	SYM
ejpam-493	120	23	δ	δ	PROPN
ejpam-493	120	24	,	,	PUNCT
ejpam-493	120	25	which	which	PRON
ejpam-493	120	26	,	,	PUNCT
ejpam-493	120	27	by	by	ADP
ejpam-493	120	28	means	mean	NOUN
ejpam-493	120	29	of	of	ADP
ejpam-493	120	30	the	the	DET
ejpam-493	120	31	definition	definition	NOUN
ejpam-493	120	32	(	(	PUNCT
ejpam-493	120	33	8)	8)	NUM
ejpam-493	120	34	,	,	PUNCT
ejpam-493	120	35	establishes	establish	VERB
ejpam-493	120	36	the	the	DET
ejpam-493	120	37	inclusion	inclusion	NOUN
ejpam-493	120	38	relation	relation	NOUN
ejpam-493	120	39	(	(	PUNCT
ejpam-493	120	40	13	13	NUM
ejpam-493	120	41	)	)	PUNCT
ejpam-493	120	42	asserted	assert	VERB
ejpam-493	120	43	by	by	ADP
ejpam-493	120	44	theorem	theorem	NOUN
ejpam-493	120	45	1	1	NUM
ejpam-493	120	46	.	.	NOUN
ejpam-493	120	47	remark	remark	NOUN
ejpam-493	120	48	1	1	NUM
ejpam-493	120	49	.	.	PUNCT
ejpam-493	120	50	putting	put	VERB
ejpam-493	120	51	λ	λ	X
ejpam-493	120	52	=	=	PUNCT
ejpam-493	120	53	0,β	0,β	NOUN
ejpam-493	120	54	=	=	PUNCT
ejpam-493	120	55	|b|	|b|	PROPN
ejpam-493	120	56	,	,	PUNCT
ejpam-493	120	57	b	b	X
ejpam-493	120	58	∈	∈	PROPN
ejpam-493	120	59	c\{0	c\{0	NOUN
ejpam-493	120	60	}	}	PUNCT
ejpam-493	120	61	,	,	PUNCT
ejpam-493	120	62	replacing	replace	VERB
ejpam-493	120	63	n	n	ADV
ejpam-493	120	64	by	by	ADP
ejpam-493	120	65	n+	n+	ADP
ejpam-493	120	66	p	p	X
ejpam-493	120	67	(	(	PUNCT
ejpam-493	120	68	p	p	NOUN
ejpam-493	120	69	,	,	PUNCT
ejpam-493	120	70	n	n	PRON
ejpam-493	120	71	∈	∈	PROPN
ejpam-493	120	72	n	n	CCONJ
ejpam-493	120	73	)	)	PUNCT
ejpam-493	120	74	and	and	CCONJ
ejpam-493	120	75	taking	take	VERB
ejpam-493	120	76	r	r	NOUN
ejpam-493	120	77	=	=	SYM
ejpam-493	120	78	2	2	NUM
ejpam-493	120	79	;	;	PUNCT
ejpam-493	120	80	s	s	X
ejpam-493	120	81	=	=	SYM
ejpam-493	120	82	1;α1	1;α1	NUM
ejpam-493	120	83	=	=	PUNCT
ejpam-493	120	84	µ+	µ+	PUNCT
ejpam-493	120	85	p	p	X
ejpam-493	120	86	(	(	PUNCT
ejpam-493	120	87	µ	µ	X
ejpam-493	120	88	>	>	X
ejpam-493	120	89	−p	−p	NOUN
ejpam-493	120	90	;	;	PUNCT
ejpam-493	120	91	p	p	PRON
ejpam-493	120	92	∈	∈	NOUN
ejpam-493	120	93	n);α2	n);α2	ADP
ejpam-493	120	94	=	=	PUNCT
ejpam-493	120	95	β1	β1	NOUN
ejpam-493	120	96	=	=	SYM
ejpam-493	120	97	1	1	NUM
ejpam-493	120	98	in	in	ADP
ejpam-493	120	99	theorem	theorem	NOUN
ejpam-493	120	100	3	3	NUM
ejpam-493	120	101	,	,	PUNCT
ejpam-493	120	102	we	we	PRON
ejpam-493	120	103	obtain	obtain	VERB
ejpam-493	120	104	the	the	DET
ejpam-493	120	105	result	result	NOUN
ejpam-493	120	106	obtained	obtain	VERB
ejpam-493	120	107	by	by	ADP
ejpam-493	120	108	raina	raina	PROPN
ejpam-493	120	109	and	and	CCONJ
ejpam-493	120	110	srivastava	srivastava	PROPN
ejpam-493	121	1	[	[	X
ejpam-493	121	2	9	9	NUM
ejpam-493	121	3	]	]	PUNCT
ejpam-493	121	4	.	.	PUNCT
ejpam-493	122	1	in	in	ADP
ejpam-493	122	2	a	a	DET
ejpam-493	122	3	similar	similar	ADJ
ejpam-493	122	4	manner	manner	NOUN
ejpam-493	122	5	,	,	PUNCT
ejpam-493	122	6	by	by	ADP
ejpam-493	122	7	applying	apply	VERB
ejpam-493	122	8	the	the	DET
ejpam-493	122	9	assertion	assertion	NOUN
ejpam-493	122	10	(	(	PUNCT
ejpam-493	122	11	11	11	NUM
ejpam-493	122	12	)	)	PUNCT
ejpam-493	122	13	of	of	ADP
ejpam-493	122	14	theorem	theorem	ADJ
ejpam-493	122	15	2	2	NUM
ejpam-493	122	16	instead	instead	ADV
ejpam-493	122	17	of	of	ADP
ejpam-493	122	18	the	the	DET
ejpam-493	122	19	assertion	assertion	NOUN
ejpam-493	122	20	(	(	PUNCT
ejpam-493	122	21	9	9	NUM
ejpam-493	122	22	)	)	PUNCT
ejpam-493	122	23	of	of	ADP
ejpam-493	122	24	theorem	theorem	ADJ
ejpam-493	122	25	1	1	NUM
ejpam-493	122	26	to	to	ADP
ejpam-493	122	27	functions	function	NOUN
ejpam-493	122	28	in	in	ADP
ejpam-493	122	29	the	the	DET
ejpam-493	122	30	class	class	NOUN
ejpam-493	122	31	p(p	p(p	NOUN
ejpam-493	122	32	,	,	PUNCT
ejpam-493	122	33	n	n	CCONJ
ejpam-493	122	34	,	,	PUNCT
ejpam-493	122	35	q	q	X
ejpam-493	122	36	,	,	PUNCT
ejpam-493	122	37	λ	λ	PROPN
ejpam-493	122	38	,	,	PUNCT
ejpam-493	122	39	β	β	NOUN
ejpam-493	122	40	)	)	PUNCT
ejpam-493	122	41	we	we	PRON
ejpam-493	122	42	can	can	AUX
ejpam-493	122	43	prove	prove	VERB
ejpam-493	122	44	the	the	DET
ejpam-493	122	45	following	follow	VERB
ejpam-493	122	46	inclusion	inclusion	NOUN
ejpam-493	122	47	relationship	relationship	NOUN
ejpam-493	122	48	.	.	PUNCT
ejpam-493	123	1	m.	m.	PROPN
ejpam-493	123	2	aouf	aouf	PROPN
ejpam-493	123	3	and	and	CCONJ
ejpam-493	123	4	j.	j.	PROPN
ejpam-493	123	5	dziok	dziok	PROPN
ejpam-493	123	6	/	/	PUNCT
ejpam-493	123	7	eur	eur	PROPN
ejpam-493	123	8	.	.	PUNCT
ejpam-493	124	1	j.	j.	PROPN
ejpam-493	124	2	pure	pure	PROPN
ejpam-493	124	3	appl	appl	PROPN
ejpam-493	124	4	.	.	PROPN
ejpam-493	124	5	math	math	PROPN
ejpam-493	124	6	,	,	PUNCT
ejpam-493	124	7	2	2	NUM
ejpam-493	124	8	(	(	PUNCT
ejpam-493	124	9	2009	2009	NUM
ejpam-493	124	10	)	)	PUNCT
ejpam-493	124	11	,	,	PUNCT
ejpam-493	124	12	(	(	PUNCT
ejpam-493	124	13	544	544	NUM
ejpam-493	124	14	-	-	SYM
ejpam-493	124	15	553	553	NUM
ejpam-493	124	16	)	)	PUNCT
ejpam-493	124	17	551	551	NUM
ejpam-493	124	18	theorem	theorem	NOUN
ejpam-493	124	19	4	4	NUM
ejpam-493	124	20	.	.	PUNCT
ejpam-493	125	1	if	if	SCONJ
ejpam-493	125	2	(	(	PUNCT
ejpam-493	125	3	n−	n−	NOUN
ejpam-493	125	4	q+	q+	ADP
ejpam-493	125	5	1)qγn	1)qγn	NUM
ejpam-493	125	6	≤	≤	NOUN
ejpam-493	125	7	(	(	PUNCT
ejpam-493	125	8	k−	k−	PROPN
ejpam-493	125	9	q+	q+	ADP
ejpam-493	125	10	1)qγk	1)qγk	NUM
ejpam-493	125	11	(	(	PUNCT
ejpam-493	125	12	k	k	NOUN
ejpam-493	125	13	=	=	PUNCT
ejpam-493	125	14	n	n	CCONJ
ejpam-493	125	15	,	,	PUNCT
ejpam-493	125	16	n+	n+	ADP
ejpam-493	125	17	1	1	NUM
ejpam-493	125	18	,	,	PUNCT
ejpam-493	125	19	...	...	PUNCT
ejpam-493	125	20	)	)	PUNCT
ejpam-493	125	21	,	,	PUNCT
ejpam-493	125	22	(	(	PUNCT
ejpam-493	125	23	15	15	NUM
ejpam-493	125	24	)	)	PUNCT
ejpam-493	125	25	then	then	ADV
ejpam-493	125	26	p(p	p(p	NOUN
ejpam-493	125	27	,	,	PUNCT
ejpam-493	125	28	n	n	CCONJ
ejpam-493	125	29	,	,	PUNCT
ejpam-493	125	30	q	q	X
ejpam-493	125	31	,	,	PUNCT
ejpam-493	125	32	λ	λ	PROPN
ejpam-493	125	33	,	,	PUNCT
ejpam-493	125	34	β	β	X
ejpam-493	125	35	)	)	PUNCT
ejpam-493	125	36	⊂	⊂	PROPN
ejpam-493	125	37	nn	nn	PROPN
ejpam-493	125	38	,	,	PUNCT
ejpam-493	125	39	δ(h	δ(h	PROPN
ejpam-493	125	40	)	)	PUNCT
ejpam-493	125	41	,	,	PUNCT
ejpam-493	125	42	where	where	SCONJ
ejpam-493	125	43	δ	δ	PROPN
ejpam-493	125	44	=	=	SYM
ejpam-493	125	45	nβ	nβ	PROPN
ejpam-493	125	46	�	�	PROPN
ejpam-493	125	47	p−	p−	PROPN
ejpam-493	125	48	q	q	PROPN
ejpam-493	125	49	�	�	PROPN
ejpam-493	125	50	�	�	PROPN
ejpam-493	125	51	p−	p−	X
ejpam-493	125	52	q+λ	q+λ	PROPN
ejpam-493	125	53	�	�	PROPN
ejpam-493	125	54	n−	n−	PROPN
ejpam-493	125	55	p	p	PROPN
ejpam-493	125	56	�	�	PROPN
ejpam-493	125	57	�	�	PROPN
ejpam-493	125	58	(	(	PUNCT
ejpam-493	125	59	n−	n−	PROPN
ejpam-493	125	60	q+	q+	ADP
ejpam-493	125	61	1)qγn	1)qγn	NUM
ejpam-493	125	62	)	)	PUNCT
ejpam-493	125	63	(	(	PUNCT
ejpam-493	125	64	q+λp	q+λp	NOUN
ejpam-493	125	65	≥	≥	NOUN
ejpam-493	125	66	p	p	NOUN
ejpam-493	125	67	)	)	PUNCT
ejpam-493	125	68	.	.	PUNCT
ejpam-493	126	1	theorem	theorem	ADJ
ejpam-493	126	2	5	5	NUM
ejpam-493	126	3	.	.	PUNCT
ejpam-493	127	1	let	let	VERB
ejpam-493	127	2	g(z	g(z	ADJ
ejpam-493	127	3	)	)	PUNCT
ejpam-493	127	4	∈	∈	PROPN
ejpam-493	127	5	s(p	s(p	PROPN
ejpam-493	127	6	,	,	PUNCT
ejpam-493	127	7	n	n	CCONJ
ejpam-493	127	8	,	,	PUNCT
ejpam-493	127	9	q	q	X
ejpam-493	127	10	,	,	PUNCT
ejpam-493	127	11	λ	λ	PROPN
ejpam-493	127	12	,	,	PUNCT
ejpam-493	127	13	β	β	NOUN
ejpam-493	127	14	)	)	PUNCT
ejpam-493	127	15	.	.	PUNCT
ejpam-493	128	1	if	if	SCONJ
ejpam-493	128	2	ck	ck	PROPN
ejpam-493	128	3	given	give	VERB
ejpam-493	128	4	by	by	ADP
ejpam-493	128	5	(	(	PUNCT
ejpam-493	128	6	10	10	NUM
ejpam-493	128	7	)	)	PUNCT
ejpam-493	128	8	satisfies	satisfie	NOUN
ejpam-493	128	9	(	(	PUNCT
ejpam-493	128	10	12	12	NUM
ejpam-493	128	11	)	)	PUNCT
ejpam-493	128	12	and	and	CCONJ
ejpam-493	128	13	γ	γ	X
ejpam-493	128	14	>	>	X
ejpam-493	128	15	δ	δ	PROPN
ejpam-493	128	16	n	n	PROPN
ejpam-493	128	17	(	(	PUNCT
ejpam-493	128	18	n+	n+	X
ejpam-493	128	19	β	β	X
ejpam-493	128	20	−	−	PROPN
ejpam-493	129	1	p)cn	p)cn	PROPN
ejpam-493	129	2	(	(	PUNCT
ejpam-493	129	3	n+	n+	NOUN
ejpam-493	129	4	β	β	X
ejpam-493	129	5	−	−	PROPN
ejpam-493	129	6	p)cn	p)cn	PROPN
ejpam-493	129	7	−	−	PROPN
ejpam-493	129	8	βcp	βcp	PRON
ejpam-493	129	9	(	(	PUNCT
ejpam-493	129	10	δ	δ	X
ejpam-493	129	11	>	>	X
ejpam-493	129	12	0	0	NUM
ejpam-493	129	13	)	)	PUNCT
ejpam-493	129	14	,	,	PUNCT
ejpam-493	129	15	(	(	PUNCT
ejpam-493	129	16	16	16	NUM
ejpam-493	129	17	)	)	PUNCT
ejpam-493	129	18	then	then	ADV
ejpam-493	129	19	nn	nn	X
ejpam-493	129	20	,	,	PUNCT
ejpam-493	129	21	δ(g	δ(g	X
ejpam-493	129	22	)	)	PUNCT
ejpam-493	130	1	⊂	⊂	PROPN
ejpam-493	130	2	sγ(p	sγ(p	NOUN
ejpam-493	130	3	,	,	PUNCT
ejpam-493	130	4	n	n	CCONJ
ejpam-493	130	5	,	,	PUNCT
ejpam-493	130	6	q	q	X
ejpam-493	130	7	,	,	PUNCT
ejpam-493	130	8	λ	λ	PROPN
ejpam-493	130	9	,	,	PUNCT
ejpam-493	130	10	β	β	NOUN
ejpam-493	130	11	)	)	PUNCT
ejpam-493	130	12	.	.	PUNCT
ejpam-493	131	1	proof	proof	NOUN
ejpam-493	131	2	.	.	PUNCT
ejpam-493	132	1	suppose	suppose	VERB
ejpam-493	132	2	that	that	SCONJ
ejpam-493	132	3	f	f	PROPN
ejpam-493	132	4	(	(	PUNCT
ejpam-493	132	5	z	z	X
ejpam-493	132	6	)	)	PUNCT
ejpam-493	132	7	∈	∈	PROPN
ejpam-493	132	8	nn	nn	PROPN
ejpam-493	132	9	,	,	PUNCT
ejpam-493	132	10	δ(k	δ(k	NOUN
ejpam-493	132	11	)	)	PUNCT
ejpam-493	132	12	.	.	PUNCT
ejpam-493	133	1	we	we	PRON
ejpam-493	133	2	find	find	VERB
ejpam-493	133	3	from	from	ADP
ejpam-493	133	4	(	(	PUNCT
ejpam-493	133	5	8)	8)	NUM
ejpam-493	133	6	that	that	PRON
ejpam-493	133	7	∞	∞	PROPN
ejpam-493	133	8	∑	∑	PUNCT
ejpam-493	133	9	k	k	X
ejpam-493	133	10	=	=	PROPN
ejpam-493	133	11	n	n	SYM
ejpam-493	133	12	k	k	PROPN
ejpam-493	133	13	�	�	PROPN
ejpam-493	133	14	�	�	PROPN
ejpam-493	133	15	ak	ak	PROPN
ejpam-493	133	16	−	−	PROPN
ejpam-493	133	17	bk	bk	PROPN
ejpam-493	133	18	�	�	PROPN
ejpam-493	133	19	�	�	PROPN
ejpam-493	133	20	≤	≤	PROPN
ejpam-493	133	21	δ	δ	PROPN
ejpam-493	133	22	,	,	PUNCT
ejpam-493	133	23	which	which	PRON
ejpam-493	133	24	readily	readily	ADV
ejpam-493	133	25	implies	imply	VERB
ejpam-493	133	26	that	that	SCONJ
ejpam-493	133	27	∞	∞	PROPN
ejpam-493	133	28	∑	∑	PUNCT
ejpam-493	133	29	k	k	X
ejpam-493	133	30	=	=	PROPN
ejpam-493	133	31	n	n	PRON
ejpam-493	133	32	�	�	PROPN
ejpam-493	133	33	�	�	PROPN
ejpam-493	133	34	ak	ak	PROPN
ejpam-493	133	35	−	−	PROPN
ejpam-493	133	36	bk	bk	PROPN
ejpam-493	133	37	�	�	PROPN
ejpam-493	133	38	�	�	PROPN
ejpam-493	133	39	≤	≤	PROPN
ejpam-493	133	40	δ	δ	PROPN
ejpam-493	133	41	n	n	NOUN
ejpam-493	133	42	.	.	PUNCT
ejpam-493	134	1	next	next	ADV
ejpam-493	134	2	,	,	PUNCT
ejpam-493	134	3	since	since	SCONJ
ejpam-493	134	4	g(z	g(z	ADJ
ejpam-493	134	5	)	)	PUNCT
ejpam-493	134	6	∈	∈	PROPN
ejpam-493	134	7	s(p	s(p	PROPN
ejpam-493	134	8	,	,	PUNCT
ejpam-493	134	9	n	n	CCONJ
ejpam-493	134	10	,	,	PUNCT
ejpam-493	134	11	q	q	X
ejpam-493	134	12	,	,	PUNCT
ejpam-493	134	13	λ	λ	PROPN
ejpam-493	134	14	,	,	PUNCT
ejpam-493	134	15	β	β	NOUN
ejpam-493	134	16	)	)	PUNCT
ejpam-493	134	17	,	,	PUNCT
ejpam-493	134	18	we	we	PRON
ejpam-493	134	19	have	have	VERB
ejpam-493	134	20	[	[	X
ejpam-493	134	21	c.f	c.f	PROPN
ejpam-493	134	22	.	.	PROPN
ejpam-493	134	23	equation	equation	NOUN
ejpam-493	134	24	(	(	PUNCT
ejpam-493	134	25	14	14	NUM
ejpam-493	134	26	)	)	PUNCT
ejpam-493	134	27	]	]	PUNCT
ejpam-493	134	28	that	that	SCONJ
ejpam-493	134	29	∞	∞	PROPN
ejpam-493	134	30	∑	∑	PUNCT
ejpam-493	134	31	k	k	X
ejpam-493	134	32	=	=	PROPN
ejpam-493	134	33	n	n	ADV
ejpam-493	134	34	bk	bk	VERB
ejpam-493	134	35	≤	≤	ADJ
ejpam-493	134	36	βcp	βcp	PRON
ejpam-493	134	37	(	(	PUNCT
ejpam-493	134	38	n+	n+	NUM
ejpam-493	135	1	β	β	X
ejpam-493	135	2	−	−	PROPN
ejpam-493	135	3	p)cn	p)cn	PROPN
ejpam-493	135	4	,	,	PUNCT
ejpam-493	135	5	so	so	SCONJ
ejpam-493	135	6	that	that	SCONJ
ejpam-493	135	7	�	�	PROPN
ejpam-493	135	8	�	�	PROPN
ejpam-493	135	9	�	�	PROPN
ejpam-493	135	10	�	�	PROPN
ejpam-493	135	11	f	f	PROPN
ejpam-493	135	12	(	(	PUNCT
ejpam-493	135	13	z	z	NOUN
ejpam-493	135	14	)	)	PUNCT
ejpam-493	135	15	g(z	g(z	ADJ
ejpam-493	135	16	)	)	PUNCT
ejpam-493	135	17	−	−	PROPN
ejpam-493	135	18	1	1	NUM
ejpam-493	135	19	�	�	PROPN
ejpam-493	135	20	�	�	PROPN
ejpam-493	135	21	�	�	PROPN
ejpam-493	135	22	�	�	PROPN
ejpam-493	135	23	≤	≤	NUM
ejpam-493	135	24	∞	∞	PROPN
ejpam-493	135	25	∑	∑	PUNCT
ejpam-493	135	26	k	k	X
ejpam-493	135	27	=	=	PROPN
ejpam-493	135	28	n	n	PRON
ejpam-493	135	29	�	�	PROPN
ejpam-493	135	30	�	�	PROPN
ejpam-493	135	31	ak	ak	PROPN
ejpam-493	135	32	−	−	PROPN
ejpam-493	135	33	bk	bk	PROPN
ejpam-493	135	34	�	�	PROPN
ejpam-493	135	35	�	�	PROPN
ejpam-493	135	36	1−	1−	NUM
ejpam-493	135	37	∞	∞	NUM
ejpam-493	135	38	∑	∑	PROPN
ejpam-493	135	39	k	k	X
ejpam-493	135	40	=	=	PROPN
ejpam-493	135	41	n	n	PART
ejpam-493	135	42	bk	bk	VERB
ejpam-493	135	43	≤	≤	NUM
ejpam-493	135	44	δ	δ	PROPN
ejpam-493	135	45	n	n	PROPN
ejpam-493	135	46	(	(	PUNCT
ejpam-493	135	47	n+	n+	X
ejpam-493	135	48	β	β	X
ejpam-493	135	49	−	−	PROPN
ejpam-493	136	1	p)cn	p)cn	PROPN
ejpam-493	136	2	(	(	PUNCT
ejpam-493	136	3	n+	n+	NOUN
ejpam-493	136	4	β	β	X
ejpam-493	136	5	−	−	PROPN
ejpam-493	137	1	p)cn	p)cn	PROPN
ejpam-493	137	2	−	−	PROPN
ejpam-493	137	3	βcp	βcp	PRON
ejpam-493	137	4	thus	thus	ADV
ejpam-493	137	5	,	,	PUNCT
ejpam-493	137	6	by	by	ADP
ejpam-493	137	7	(	(	PUNCT
ejpam-493	137	8	16	16	NUM
ejpam-493	137	9	)	)	PUNCT
ejpam-493	137	10	we	we	PRON
ejpam-493	137	11	have	have	VERB
ejpam-493	137	12	.	.	PUNCT
ejpam-493	138	1	f	f	X
ejpam-493	138	2	(	(	PUNCT
ejpam-493	138	3	z	z	X
ejpam-493	138	4	)	)	PUNCT
ejpam-493	138	5	∈	∈	PROPN
ejpam-493	138	6	sγ(p	sγ(p	NOUN
ejpam-493	138	7	,	,	PUNCT
ejpam-493	138	8	n	n	CCONJ
ejpam-493	138	9	,	,	PUNCT
ejpam-493	138	10	q	q	X
ejpam-493	138	11	,	,	PUNCT
ejpam-493	138	12	λ	λ	PROPN
ejpam-493	138	13	,	,	PUNCT
ejpam-493	138	14	β	β	NOUN
ejpam-493	138	15	)	)	PUNCT
ejpam-493	138	16	.	.	PUNCT
ejpam-493	139	1	this	this	PRON
ejpam-493	139	2	evidently	evidently	ADV
ejpam-493	139	3	proves	prove	VERB
ejpam-493	139	4	theorem	theorem	ADJ
ejpam-493	139	5	5	5	NUM
ejpam-493	139	6	.	.	PUNCT
ejpam-493	140	1	the	the	DET
ejpam-493	140	2	proof	proof	NOUN
ejpam-493	140	3	of	of	ADP
ejpam-493	140	4	theorem	theorem	NOUN
ejpam-493	140	5	6	6	NUM
ejpam-493	140	6	below	below	ADV
ejpam-493	140	7	is	be	AUX
ejpam-493	140	8	similar	similar	ADJ
ejpam-493	140	9	to	to	ADP
ejpam-493	140	10	that	that	PRON
ejpam-493	140	11	of	of	ADP
ejpam-493	140	12	theorem	theorem	NOUN
ejpam-493	140	13	5	5	NUM
ejpam-493	140	14	above	above	ADP
ejpam-493	140	15	therefore	therefore	ADV
ejpam-493	140	16	,	,	PUNCT
ejpam-493	140	17	we	we	PRON
ejpam-493	140	18	omit	omit	VERB
ejpam-493	140	19	the	the	DET
ejpam-493	140	20	details	detail	NOUN
ejpam-493	140	21	involved	involve	VERB
ejpam-493	140	22	references	reference	NOUN
ejpam-493	140	23	552	552	NUM
ejpam-493	140	24	theorem	theorem	VERB
ejpam-493	140	25	6	6	NUM
ejpam-493	140	26	.	.	PUNCT
ejpam-493	141	1	let	let	VERB
ejpam-493	141	2	g(z	g(z	ADJ
ejpam-493	141	3	)	)	PUNCT
ejpam-493	141	4	∈	∈	PROPN
ejpam-493	141	5	p(p	p(p	NOUN
ejpam-493	141	6	,	,	PUNCT
ejpam-493	141	7	n	n	CCONJ
ejpam-493	141	8	,	,	PUNCT
ejpam-493	141	9	q	q	X
ejpam-493	141	10	,	,	PUNCT
ejpam-493	141	11	λ	λ	PROPN
ejpam-493	141	12	,	,	PUNCT
ejpam-493	141	13	β	β	NOUN
ejpam-493	141	14	)	)	PUNCT
ejpam-493	141	15	.	.	PUNCT
ejpam-493	142	1	if	if	SCONJ
ejpam-493	142	2	the	the	DET
ejpam-493	142	3	condition	condition	NOUN
ejpam-493	142	4	(	(	PUNCT
ejpam-493	142	5	15	15	NUM
ejpam-493	142	6	)	)	PUNCT
ejpam-493	142	7	holds	hold	VERB
ejpam-493	142	8	true	true	ADJ
ejpam-493	142	9	and	and	CCONJ
ejpam-493	142	10	γ	γ	X
ejpam-493	142	11	>	>	X
ejpam-493	142	12	δ	δ	PROPN
ejpam-493	142	13	n	n	CCONJ
ejpam-493	142	14	�	�	PROPN
ejpam-493	142	15	p−	p−	X
ejpam-493	142	16	q+λ	q+λ	PROPN
ejpam-493	142	17	�	�	PROPN
ejpam-493	142	18	n−	n−	PROPN
ejpam-493	142	19	p	p	PROPN
ejpam-493	142	20	�	�	PROPN
ejpam-493	142	21	�	�	PROPN
ejpam-493	142	22	(	(	PUNCT
ejpam-493	142	23	n−	n−	PROPN
ejpam-493	142	24	q+	q+	ADP
ejpam-493	142	25	1)qγk	1)qγk	NUM
ejpam-493	142	26	�	�	PROPN
ejpam-493	142	27	p−	p−	NOUN
ejpam-493	142	28	q+λ	q+λ	PROPN
ejpam-493	142	29	�	�	PROPN
ejpam-493	142	30	n−	n−	PROPN
ejpam-493	142	31	p	p	PROPN
ejpam-493	142	32	�	�	PROPN
ejpam-493	142	33	�	�	PROPN
ejpam-493	142	34	(	(	PUNCT
ejpam-493	142	35	n−	n−	PROPN
ejpam-493	142	36	q+	q+	ADP
ejpam-493	142	37	1)qγn−	1)qγn−	NUM
ejpam-493	142	38	β	β	NUM
ejpam-493	142	39	�	�	PROPN
ejpam-493	142	40	p−	p−	PROPN
ejpam-493	142	41	q	q	PROPN
ejpam-493	142	42	�	�	PROPN
ejpam-493	142	43	(	(	PUNCT
ejpam-493	142	44	δ	δ	PROPN
ejpam-493	142	45	>	>	X
ejpam-493	142	46	0	0	NUM
ejpam-493	142	47	)	)	PUNCT
ejpam-493	142	48	,	,	PUNCT
ejpam-493	142	49	then	then	ADV
ejpam-493	142	50	nn	nn	X
ejpam-493	142	51	,	,	PUNCT
ejpam-493	142	52	δ(g)⊂	δ(g)⊂	PROPN
ejpam-493	142	53	pγ(p	pγ(p	PROPN
ejpam-493	142	54	,	,	PUNCT
ejpam-493	142	55	n	n	CCONJ
ejpam-493	142	56	,	,	PUNCT
ejpam-493	142	57	q	q	X
ejpam-493	142	58	,	,	PUNCT
ejpam-493	142	59	λ	λ	PROPN
ejpam-493	142	60	,	,	PUNCT
ejpam-493	142	61	β	β	NOUN
ejpam-493	142	62	)	)	PUNCT
ejpam-493	142	63	.	.	PUNCT
ejpam-493	143	1	references	reference	NOUN
ejpam-493	143	2	[	[	X
ejpam-493	143	3	1	1	X
ejpam-493	143	4	]	]	PUNCT
ejpam-493	143	5	j.	j.	PROPN
ejpam-493	143	6	dziok	dziok	PROPN
ejpam-493	143	7	,	,	PUNCT
ejpam-493	143	8	h.m	h.m	PROPN
ejpam-493	143	9	.	.	PROPN
ejpam-493	143	10	srivastava	srivastava	PROPN
ejpam-493	143	11	,	,	PUNCT
ejpam-493	143	12	classes	class	NOUN
ejpam-493	143	13	of	of	ADP
ejpam-493	143	14	analytic	analytic	ADJ
ejpam-493	143	15	functions	function	NOUN
ejpam-493	143	16	associated	associate	VERB
ejpam-493	143	17	with	with	ADP
ejpam-493	143	18	the	the	DET
ejpam-493	143	19	generalized	generalize	VERB
ejpam-493	143	20	hypergeometric	hypergeometric	ADJ
ejpam-493	143	21	function	function	NOUN
ejpam-493	143	22	,	,	PUNCT
ejpam-493	143	23	appl	appl	PROPN
ejpam-493	143	24	.	.	PROPN
ejpam-493	143	25	math	math	PROPN
ejpam-493	143	26	.	.	PUNCT
ejpam-493	144	1	comput	comput	NOUN
ejpam-493	144	2	.	.	PUNCT
ejpam-493	145	1	103(1999	103(1999	NUM
ejpam-493	145	2	)	)	PUNCT
ejpam-493	145	3	,	,	PUNCT
ejpam-493	145	4	1	1	NUM
ejpam-493	145	5	-	-	SYM
ejpam-493	145	6	13	13	NUM
ejpam-493	145	7	.	.	PUNCT
ejpam-493	146	1	[	[	X
ejpam-493	146	2	2	2	X
ejpam-493	146	3	]	]	X
ejpam-493	146	4	g.	g.	NOUN
ejpam-493	146	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-493	146	6	,	,	PUNCT
ejpam-493	146	7	h.	h.	PROPN
ejpam-493	146	8	m.	m.	PROPN
ejpam-493	146	9	srivastava	srivastava	PROPN
ejpam-493	146	10	,	,	PUNCT
ejpam-493	146	11	neighborhoods	neighborhood	NOUN
ejpam-493	146	12	of	of	ADP
ejpam-493	146	13	certain	certain	ADJ
ejpam-493	146	14	classes	class	NOUN
ejpam-493	146	15	of	of	ADP
ejpam-493	146	16	analytic	analytic	ADJ
ejpam-493	146	17	functions	function	NOUN
ejpam-493	146	18	of	of	ADP
ejpam-493	146	19	complex	complex	ADJ
ejpam-493	146	20	order	order	NOUN
ejpam-493	146	21	,	,	PUNCT
ejpam-493	146	22	j.	j.	PROPN
ejpam-493	146	23	inequal	inequal	PROPN
ejpam-493	146	24	.	.	PUNCT
ejpam-493	147	1	pure	pure	ADJ
ejpam-493	147	2	appl	appl	PROPN
ejpam-493	147	3	.	.	PUNCT
ejpam-493	147	4	math	math	NOUN
ejpam-493	147	5	.	.	PUNCT
ejpam-493	148	1	5(2)(2004	5(2)(2004	NUM
ejpam-493	148	2	)	)	PUNCT
ejpam-493	148	3	,	,	PUNCT
ejpam-493	148	4	article	article	NOUN
ejpam-493	148	5	24	24	NUM
ejpam-493	148	6	,	,	PUNCT
ejpam-493	148	7	1	1	NUM
ejpam-493	148	8	-	-	SYM
ejpam-493	148	9	8	8	NUM
ejpam-493	148	10	(	(	PUNCT
ejpam-493	148	11	electronic	electronic	ADJ
ejpam-493	148	12	)	)	PUNCT
ejpam-493	148	13	.	.	PUNCT
ejpam-493	149	1	[	[	X
ejpam-493	149	2	3	3	X
ejpam-493	149	3	]	]	PUNCT
ejpam-493	149	4	j.	j.	PROPN
ejpam-493	149	5	k.	k.	PROPN
ejpam-493	149	6	prajapat	prajapat	PROPN
ejpam-493	149	7	,	,	PUNCT
ejpam-493	149	8	r.	r.	PROPN
ejpam-493	149	9	k.	k.	PROPN
ejpam-493	149	10	raina	raina	PROPN
ejpam-493	149	11	,	,	PUNCT
ejpam-493	149	12	h.	h.	PROPN
ejpam-493	149	13	m.	m.	PROPN
ejpam-493	149	14	srivastava	srivastava	PROPN
ejpam-493	149	15	,	,	PUNCT
ejpam-493	149	16	inclusion	inclusion	NOUN
ejpam-493	149	17	and	and	CCONJ
ejpam-493	149	18	neighborhood	neighborhood	NOUN
ejpam-493	149	19	properties	property	NOUN
ejpam-493	149	20	for	for	ADP
ejpam-493	149	21	certain	certain	ADJ
ejpam-493	149	22	classes	class	NOUN
ejpam-493	149	23	of	of	ADP
ejpam-493	149	24	multivalently	multivalently	ADJ
ejpam-493	149	25	analytic	analytic	ADJ
ejpam-493	149	26	functions	function	NOUN
ejpam-493	149	27	associated	associate	VERB
ejpam-493	149	28	with	with	ADP
ejpam-493	149	29	the	the	DET
ejpam-493	149	30	convolution	convolution	NOUN
ejpam-493	149	31	structure	structure	NOUN
ejpam-493	149	32	,	,	PUNCT
ejpam-493	149	33	j.	j.	PROPN
ejpam-493	149	34	inequal	inequal	PROPN
ejpam-493	149	35	.	.	PUNCT
ejpam-493	150	1	pure	pure	ADJ
ejpam-493	150	2	appl	appl	PROPN
ejpam-493	150	3	.	.	PUNCT
ejpam-493	151	1	math	math	NOUN
ejpam-493	151	2	.	.	PUNCT
ejpam-493	152	1	8(1)(2007	8(1)(2007	NUM
ejpam-493	152	2	)	)	PUNCT
ejpam-493	152	3	,	,	PUNCT
ejpam-493	152	4	article	article	NOUN
ejpam-493	152	5	7	7	NUM
ejpam-493	152	6	,	,	PUNCT
ejpam-493	152	7	1	1	NUM
ejpam-493	152	8	-	-	SYM
ejpam-493	152	9	8	8	NUM
ejpam-493	152	10	(	(	PUNCT
ejpam-493	152	11	electronic	electronic	ADJ
ejpam-493	152	12	)	)	PUNCT
ejpam-493	152	13	.	.	PUNCT
ejpam-493	153	1	[	[	X
ejpam-493	153	2	4	4	NUM
ejpam-493	153	3	]	]	PUNCT
ejpam-493	153	4	a.	a.	PROPN
ejpam-493	153	5	w.	w.	PROPN
ejpam-493	153	6	goodman	goodman	PROPN
ejpam-493	153	7	,	,	PUNCT
ejpam-493	153	8	univalent	univalent	ADJ
ejpam-493	153	9	functions	function	NOUN
ejpam-493	153	10	and	and	CCONJ
ejpam-493	153	11	nonanalytic	nonanalytic	ADJ
ejpam-493	153	12	curves	curve	NOUN
ejpam-493	153	13	,	,	PUNCT
ejpam-493	153	14	proc	proc	NOUN
ejpam-493	153	15	.	.	PUNCT
ejpam-493	154	1	amer	amer	PROPN
ejpam-493	154	2	.	.	PUNCT
ejpam-493	154	3	math	math	PROPN
ejpam-493	154	4	.	.	PUNCT
ejpam-493	155	1	soc	soc	PROPN
ejpam-493	155	2	.	.	PUNCT
ejpam-493	156	1	8(1957	8(1957	NUM
ejpam-493	156	2	)	)	PUNCT
ejpam-493	156	3	,	,	PUNCT
ejpam-493	156	4	598	598	NUM
ejpam-493	156	5	-	-	SYM
ejpam-493	156	6	601	601	NUM
ejpam-493	156	7	.	.	PUNCT
ejpam-493	157	1	[	[	X
ejpam-493	157	2	5	5	NUM
ejpam-493	157	3	]	]	SYM
ejpam-493	157	4	st	st	PROPN
ejpam-493	157	5	.	.	PROPN
ejpam-493	157	6	ruscheweyh	ruscheweyh	NOUN
ejpam-493	157	7	,	,	PUNCT
ejpam-493	157	8	neighborhoods	neighborhood	NOUN
ejpam-493	157	9	of	of	ADP
ejpam-493	157	10	univalent	univalent	ADJ
ejpam-493	157	11	functions	function	NOUN
ejpam-493	157	12	,	,	PUNCT
ejpam-493	157	13	proc	proc	NOUN
ejpam-493	157	14	.	.	PUNCT
ejpam-493	158	1	amer	amer	PROPN
ejpam-493	158	2	.	.	PUNCT
ejpam-493	158	3	math	math	PROPN
ejpam-493	158	4	.	.	PUNCT
ejpam-493	159	1	soc	soc	PROPN
ejpam-493	159	2	.	.	PUNCT
ejpam-493	160	1	8(1981	8(1981	NUM
ejpam-493	160	2	)	)	PUNCT
ejpam-493	160	3	,	,	PUNCT
ejpam-493	160	4	521	521	NUM
ejpam-493	160	5	-	-	SYM
ejpam-493	160	6	527	527	NUM
ejpam-493	160	7	.	.	PUNCT
ejpam-493	161	1	[	[	X
ejpam-493	161	2	6	6	NUM
ejpam-493	161	3	]	]	PUNCT
ejpam-493	161	4	o.	o.	PROPN
ejpam-493	161	5	altintas	altintas	PROPN
ejpam-493	161	6	,	,	PUNCT
ejpam-493	161	7	s.	s.	PROPN
ejpam-493	161	8	owa	owa	PROPN
ejpam-493	161	9	,	,	PUNCT
ejpam-493	161	10	neighborhoods	neighborhood	NOUN
ejpam-493	161	11	of	of	ADP
ejpam-493	161	12	certain	certain	ADJ
ejpam-493	161	13	analytic	analytic	ADJ
ejpam-493	161	14	functions	function	NOUN
ejpam-493	161	15	with	with	ADP
ejpam-493	161	16	negative	negative	ADJ
ejpam-493	161	17	coefficients	coefficient	NOUN
ejpam-493	161	18	,	,	PUNCT
ejpam-493	161	19	internat	internat	PROPN
ejpam-493	161	20	.	.	PUNCT
ejpam-493	162	1	j.	j.	PROPN
ejpam-493	162	2	math	math	PROPN
ejpam-493	162	3	.	.	PUNCT
ejpam-493	163	1	math	math	NOUN
ejpam-493	163	2	.	.	PUNCT
ejpam-493	164	1	sci	sci	PROPN
ejpam-493	164	2	.	.	PROPN
ejpam-493	164	3	19(1996	19(1996	NUM
ejpam-493	164	4	)	)	PUNCT
ejpam-493	164	5	,	,	PUNCT
ejpam-493	164	6	797	797	NUM
ejpam-493	164	7	-	-	SYM
ejpam-493	164	8	800	800	NUM
ejpam-493	164	9	.	.	PUNCT
ejpam-493	165	1	[	[	X
ejpam-493	165	2	7	7	X
ejpam-493	165	3	]	]	X
ejpam-493	165	4	o.	o.	PROPN
ejpam-493	165	5	altintas	altintas	PROPN
ejpam-493	165	6	,	,	PUNCT
ejpam-493	165	7	o.	o.	NOUN
ejpam-493	165	8	ozkan	ozkan	PROPN
ejpam-493	165	9	,	,	PUNCT
ejpam-493	165	10	h.	h.	PROPN
ejpam-493	165	11	m.	m.	PROPN
ejpam-493	165	12	srivastava	srivastava	PROPN
ejpam-493	165	13	,	,	PUNCT
ejpam-493	165	14	neighborhoods	neighborhood	NOUN
ejpam-493	165	15	of	of	ADP
ejpam-493	165	16	a	a	DET
ejpam-493	165	17	class	class	NOUN
ejpam-493	165	18	of	of	ADP
ejpam-493	165	19	analytic	analytic	ADJ
ejpam-493	165	20	functions	function	NOUN
ejpam-493	165	21	with	with	ADP
ejpam-493	165	22	negative	negative	ADJ
ejpam-493	165	23	coefficients	coefficient	NOUN
ejpam-493	165	24	,	,	PUNCT
ejpam-493	165	25	appl	appl	PROPN
ejpam-493	165	26	.	.	PROPN
ejpam-493	165	27	math	math	PROPN
ejpam-493	165	28	.	.	PUNCT
ejpam-493	166	1	letters	letter	NOUN
ejpam-493	166	2	13(2000	13(2000	NUM
ejpam-493	166	3	)	)	PUNCT
ejpam-493	166	4	,	,	PUNCT
ejpam-493	166	5	no.3	no.3	VERB
ejpam-493	166	6	,	,	PUNCT
ejpam-493	166	7	63	63	NUM
ejpam-493	166	8	-	-	SYM
ejpam-493	166	9	67	67	NUM
ejpam-493	166	10	.	.	PUNCT
ejpam-493	167	1	[	[	X
ejpam-493	167	2	8	8	NUM
ejpam-493	167	3	]	]	X
ejpam-493	167	4	o.	o.	PROPN
ejpam-493	167	5	altintas	altintas	PROPN
ejpam-493	167	6	,	,	PUNCT
ejpam-493	167	7	o.	o.	NOUN
ejpam-493	167	8	ozkan	ozkan	PROPN
ejpam-493	167	9	,	,	PUNCT
ejpam-493	167	10	h.	h.	PROPN
ejpam-493	167	11	m.	m.	PROPN
ejpam-493	167	12	srivastava	srivastava	PROPN
ejpam-493	167	13	,	,	PUNCT
ejpam-493	167	14	neighborhoods	neighborhood	NOUN
ejpam-493	167	15	of	of	ADP
ejpam-493	167	16	a	a	DET
ejpam-493	167	17	certain	certain	ADJ
ejpam-493	167	18	family	family	NOUN
ejpam-493	167	19	of	of	ADP
ejpam-493	167	20	multivalent	multivalent	NOUN
ejpam-493	167	21	functions	function	NOUN
ejpam-493	167	22	with	with	ADP
ejpam-493	167	23	negative	negative	ADJ
ejpam-493	167	24	coefficients	coefficient	NOUN
ejpam-493	167	25	,	,	PUNCT
ejpam-493	167	26	comput	comput	NOUN
ejpam-493	167	27	.	.	PUNCT
ejpam-493	168	1	math	math	NOUN
ejpam-493	168	2	.	.	PUNCT
ejpam-493	169	1	appl	appl	PROPN
ejpam-493	169	2	.	.	PUNCT
ejpam-493	170	1	47(2004	47(2004	X
ejpam-493	170	2	)	)	PUNCT
ejpam-493	170	3	,	,	PUNCT
ejpam-493	170	4	1667	1667	NUM
ejpam-493	170	5	-	-	SYM
ejpam-493	170	6	1672	1672	NUM
ejpam-493	170	7	.	.	PUNCT
ejpam-493	171	1	[	[	X
ejpam-493	171	2	9	9	NUM
ejpam-493	171	3	]	]	PUNCT
ejpam-493	171	4	r.	r.	PROPN
ejpam-493	171	5	k.	k.	PROPN
ejpam-493	171	6	raina	raina	PROPN
ejpam-493	171	7	,	,	PUNCT
ejpam-493	171	8	h.	h.	PROPN
ejpam-493	171	9	m.	m.	PROPN
ejpam-493	171	10	srivastava	srivastava	PROPN
ejpam-493	171	11	,	,	PUNCT
ejpam-493	171	12	inclusion	inclusion	NOUN
ejpam-493	171	13	and	and	CCONJ
ejpam-493	171	14	neighborhood	neighborhood	NOUN
ejpam-493	171	15	properties	property	NOUN
ejpam-493	171	16	of	of	ADP
ejpam-493	171	17	some	some	DET
ejpam-493	171	18	analytic	analytic	ADJ
ejpam-493	171	19	and	and	CCONJ
ejpam-493	171	20	multivalent	multivalent	NOUN
ejpam-493	171	21	functions	function	NOUN
ejpam-493	171	22	,	,	PUNCT
ejpam-493	171	23	j.	j.	PROPN
ejpam-493	171	24	inequal	inequal	PROPN
ejpam-493	171	25	.	.	PUNCT
ejpam-493	172	1	pure	pure	ADJ
ejpam-493	172	2	appl	appl	PROPN
ejpam-493	172	3	.	.	PUNCT
ejpam-493	172	4	math	math	NOUN
ejpam-493	172	5	.	.	PUNCT
ejpam-493	173	1	7(1	7(1	NUM
ejpam-493	173	2	)	)	PUNCT
ejpam-493	173	3	(	(	PUNCT
ejpam-493	173	4	2006	2006	NUM
ejpam-493	173	5	)	)	PUNCT
ejpam-493	173	6	,	,	PUNCT
ejpam-493	173	7	article	article	NOUN
ejpam-493	173	8	5	5	NUM
ejpam-493	173	9	,	,	PUNCT
ejpam-493	173	10	1	1	NUM
ejpam-493	173	11	-	-	SYM
ejpam-493	173	12	6	6	NUM
ejpam-493	173	13	(	(	PUNCT
ejpam-493	173	14	electronic	electronic	ADJ
ejpam-493	173	15	)	)	PUNCT
ejpam-493	173	16	.	.	PUNCT
ejpam-493	174	1	references	reference	NOUN
ejpam-493	174	2	553	553	NUM
ejpam-493	174	3	[	[	SYM
ejpam-493	174	4	10	10	NUM
ejpam-493	174	5	]	]	X
ejpam-493	174	6	h.	h.	PROPN
ejpam-493	174	7	m.	m.	PROPN
ejpam-493	174	8	srivastava	srivastava	PROPN
ejpam-493	174	9	,	,	PUNCT
ejpam-493	174	10	s.	s.	PROPN
ejpam-493	174	11	owa	owa	PROPN
ejpam-493	174	12	(	(	PUNCT
ejpam-493	174	13	eds	ed	NOUN
ejpam-493	174	14	.	.	PUNCT
ejpam-493	174	15	)	)	PUNCT
ejpam-493	174	16	,	,	PUNCT
ejpam-493	174	17	current	current	ADJ
ejpam-493	174	18	topics	topic	NOUN
ejpam-493	174	19	in	in	ADP
ejpam-493	174	20	analyic	analyic	ADJ
ejpam-493	174	21	function	function	NOUN
ejpam-493	174	22	theory	theory	NOUN
ejpam-493	174	23	,	,	PUNCT
ejpam-493	174	24	world	world	NOUN
ejpam-493	174	25	scientific	scientific	ADJ
ejpam-493	174	26	publishing	publishing	NOUN
ejpam-493	174	27	company	company	NOUN
ejpam-493	174	28	,	,	PUNCT
ejpam-493	174	29	singapore	singapore	PROPN
ejpam-493	174	30	,	,	PUNCT
ejpam-493	174	31	new	new	PROPN
ejpam-493	174	32	jersey	jersey	PROPN
ejpam-493	174	33	,	,	PUNCT
ejpam-493	174	34	london	london	PROPN
ejpam-493	174	35	and	and	CCONJ
ejpam-493	174	36	hong	hong	PROPN
ejpam-493	174	37	kong	kong	PROPN
ejpam-493	174	38	,	,	PUNCT
ejpam-493	174	39	1992	1992	NUM
ejpam-493	174	40	.	.	PUNCT
ejpam-493	175	1	[	[	X
ejpam-493	175	2	11	11	NUM
ejpam-493	175	3	]	]	PUNCT
ejpam-493	175	4	m.	m.	PROPN
ejpam-493	175	5	k.	k.	PROPN
ejpam-493	175	6	aouf	aouf	PROPN
ejpam-493	175	7	,	,	PUNCT
ejpam-493	175	8	neighborhoods	neighborhood	NOUN
ejpam-493	175	9	of	of	ADP
ejpam-493	175	10	certain	certain	ADJ
ejpam-493	175	11	classes	class	NOUN
ejpam-493	175	12	of	of	ADP
ejpam-493	175	13	analytic	analytic	ADJ
ejpam-493	175	14	functions	function	NOUN
ejpam-493	175	15	with	with	ADP
ejpam-493	175	16	negative	negative	ADJ
ejpam-493	175	17	coefficients	coefficient	NOUN
ejpam-493	175	18	,	,	PUNCT
ejpam-493	175	19	internat	internat	PROPN
ejpam-493	175	20	.	.	PUNCT
ejpam-493	176	1	j.	j.	PROPN
ejpam-493	176	2	math	math	PROPN
ejpam-493	176	3	.	.	PUNCT
ejpam-493	177	1	math	math	NOUN
ejpam-493	177	2	.	.	PUNCT
ejpam-493	178	1	sci	sci	PROPN
ejpam-493	178	2	.	.	PUNCT
ejpam-493	178	3	2006	2006	NUM
ejpam-493	178	4	,	,	PUNCT
ejpam-493	178	5	article	article	NOUN
ejpam-493	178	6	i	i	PROPN
ejpam-493	178	7	d	d	PROPN
ejpam-493	178	8	38258,1	38258,1	PROPN
ejpam-493	178	9	-	-	PUNCT
ejpam-493	178	10	6	6	NUM
ejpam-493	178	11	.	.	PUNCT
ejpam-493	179	1	[	[	X
ejpam-493	179	2	12	12	NUM
ejpam-493	179	3	]	]	PUNCT
ejpam-493	179	4	j.	j.	PROPN
ejpam-493	179	5	k.	k.	PROPN
ejpam-493	179	6	prajapat	prajapat	PROPN
ejpam-493	179	7	,	,	PUNCT
ejpam-493	179	8	r.	r.	PROPN
ejpam-493	179	9	k.	k.	PROPN
ejpam-493	179	10	raina	raina	PROPN
ejpam-493	179	11	,	,	PUNCT
ejpam-493	179	12	some	some	DET
ejpam-493	179	13	new	new	ADJ
ejpam-493	179	14	inclusion	inclusion	NOUN
ejpam-493	179	15	and	and	CCONJ
ejpam-493	179	16	neighborhood	neighborhood	NOUN
ejpam-493	179	17	properties	property	NOUN
ejpam-493	179	18	for	for	ADP
ejpam-493	179	19	certain	certain	ADJ
ejpam-493	179	20	multivalent	multivalent	NOUN
ejpam-493	179	21	function	function	NOUN
ejpam-493	179	22	class	class	NOUN
ejpam-493	179	23	associated	associate	VERB
ejpam-493	179	24	with	with	ADP
ejpam-493	179	25	the	the	DET
ejpam-493	179	26	convolution	convolution	NOUN
ejpam-493	179	27	structure	structure	NOUN
ejpam-493	179	28	,	,	PUNCT
ejpam-493	179	29	internat	internat	PROPN
ejpam-493	179	30	.	.	PUNCT
ejpam-493	180	1	j.	j.	PROPN
ejpam-493	180	2	math	math	PROPN
ejpam-493	180	3	.	.	PUNCT
ejpam-493	181	1	math	math	NOUN
ejpam-493	181	2	.	.	PUNCT
ejpam-493	182	1	sci	sci	PROPN
ejpam-493	182	2	.	.	PUNCT
ejpam-493	182	3	vol	vol	NOUN
ejpam-493	182	4	.	.	PROPN
ejpam-493	182	5	2008	2008	NUM
ejpam-493	182	6	,	,	PUNCT
ejpam-493	182	7	art	art	NOUN
ejpam-493	182	8	.	.	PUNCT
ejpam-493	183	1	i	i	PRON
ejpam-493	183	2	d	d	PROPN
ejpam-493	183	3	318582	318582	NUM
ejpam-493	183	4	,	,	PUNCT
ejpam-493	183	5	1	1	NUM
ejpam-493	183	6	-	-	SYM
ejpam-493	183	7	9	9	NUM
ejpam-493	183	8	.	.	PUNCT