id	sid	tid	token	lemma	pos
ejpam-1472	1	1	european	european	PROPN
ejpam-1472	1	2	journal	journal	PROPN
ejpam-1472	1	3	of	of	ADP
ejpam-1472	1	4	pure	pure	ADJ
ejpam-1472	1	5	and	and	CCONJ
ejpam-1472	1	6	applied	apply	VERB
ejpam-1472	1	7	mathematics	mathematic	NOUN
ejpam-1472	1	8	vol	vol	NOUN
ejpam-1472	1	9	.	.	PROPN
ejpam-1472	2	1	6	6	NUM
ejpam-1472	2	2	,	,	PUNCT
ejpam-1472	2	3	no	no	INTJ
ejpam-1472	2	4	.	.	NOUN
ejpam-1472	2	5	3	3	NUM
ejpam-1472	2	6	,	,	PUNCT
ejpam-1472	2	7	2013	2013	NUM
ejpam-1472	2	8	,	,	PUNCT
ejpam-1472	2	9	307	307	NUM
ejpam-1472	2	10	-	-	SYM
ejpam-1472	2	11	314	314	NUM
ejpam-1472	2	12	issn	issn	PROPN
ejpam-1472	2	13	1307	1307	NUM
ejpam-1472	2	14	-	-	SYM
ejpam-1472	2	15	5543	5543	NUM
ejpam-1472	2	16	–	–	PUNCT
ejpam-1472	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1472	3	1	some	some	DET
ejpam-1472	3	2	properties	property	NOUN
ejpam-1472	3	3	for	for	ADP
ejpam-1472	3	4	certain	certain	ADJ
ejpam-1472	3	5	general	general	ADJ
ejpam-1472	3	6	integral	integral	ADJ
ejpam-1472	3	7	operator	operator	NOUN
ejpam-1472	3	8	vasile	vasile	PROPN
ejpam-1472	3	9	marius	marius	PROPN
ejpam-1472	3	10	macarie1,∗	macarie1,∗	PROPN
ejpam-1472	3	11	,	,	PUNCT
ejpam-1472	3	12	daniel	daniel	PROPN
ejpam-1472	3	13	breaz	breaz	PROPN
ejpam-1472	3	14	2	2	NUM
ejpam-1472	3	15	1	1	NUM
ejpam-1472	3	16	department	department	NOUN
ejpam-1472	3	17	of	of	ADP
ejpam-1472	3	18	mathematics	mathematics	PROPN
ejpam-1472	3	19	and	and	CCONJ
ejpam-1472	3	20	computer	computer	NOUN
ejpam-1472	3	21	sciences	sciences	PROPN
ejpam-1472	3	22	,	,	PUNCT
ejpam-1472	3	23	university	university	NOUN
ejpam-1472	3	24	of	of	ADP
ejpam-1472	3	25	pitȩsti	pitȩsti	NOUN
ejpam-1472	3	26	,	,	PUNCT
ejpam-1472	3	27	pitȩsti	pitȩsti	NOUN
ejpam-1472	3	28	,	,	PUNCT
ejpam-1472	3	29	românia	românia	NOUN
ejpam-1472	3	30	2	2	NUM
ejpam-1472	3	31	department	department	NOUN
ejpam-1472	3	32	of	of	ADP
ejpam-1472	3	33	mathematics	mathematic	NOUN
ejpam-1472	3	34	,	,	PUNCT
ejpam-1472	3	35	"	"	PUNCT
ejpam-1472	3	36	1	1	NUM
ejpam-1472	3	37	decembrie	decembrie	NOUN
ejpam-1472	3	38	1918	1918	NUM
ejpam-1472	3	39	"	"	PUNCT
ejpam-1472	3	40	university	university	PROPN
ejpam-1472	3	41	of	of	ADP
ejpam-1472	3	42	alba	alba	PROPN
ejpam-1472	3	43	iulia	iulia	PROPN
ejpam-1472	3	44	,	,	PUNCT
ejpam-1472	3	45	alba	alba	PROPN
ejpam-1472	3	46	iulia	iulia	PROPN
ejpam-1472	3	47	,	,	PUNCT
ejpam-1472	3	48	românia	românia	PROPN
ejpam-1472	3	49	abstract	abstract	NOUN
ejpam-1472	3	50	.	.	PUNCT
ejpam-1472	4	1	in	in	ADP
ejpam-1472	4	2	this	this	DET
ejpam-1472	4	3	paper	paper	NOUN
ejpam-1472	4	4	we	we	PRON
ejpam-1472	4	5	consider	consider	VERB
ejpam-1472	4	6	some	some	DET
ejpam-1472	4	7	subclasses	subclass	NOUN
ejpam-1472	4	8	of	of	ADP
ejpam-1472	4	9	the	the	DET
ejpam-1472	4	10	class	class	NOUN
ejpam-1472	4	11	of	of	ADP
ejpam-1472	4	12	analytic	analytic	ADJ
ejpam-1472	4	13	functions	function	NOUN
ejpam-1472	4	14	defined	define	VERB
ejpam-1472	4	15	in	in	ADP
ejpam-1472	4	16	the	the	DET
ejpam-1472	4	17	open	open	ADJ
ejpam-1472	4	18	unit	unit	NOUN
ejpam-1472	4	19	disk	disk	NOUN
ejpam-1472	4	20	of	of	ADP
ejpam-1472	4	21	the	the	DET
ejpam-1472	4	22	complex	complex	ADJ
ejpam-1472	4	23	plane	plane	NOUN
ejpam-1472	4	24	and	and	CCONJ
ejpam-1472	4	25	we	we	PRON
ejpam-1472	4	26	study	study	VERB
ejpam-1472	4	27	some	some	DET
ejpam-1472	4	28	properties	property	NOUN
ejpam-1472	4	29	for	for	ADP
ejpam-1472	4	30	an	an	DET
ejpam-1472	4	31	integral	integral	ADJ
ejpam-1472	4	32	operator	operator	NOUN
ejpam-1472	4	33	on	on	ADP
ejpam-1472	4	34	these	these	DET
ejpam-1472	4	35	classes	class	NOUN
ejpam-1472	4	36	.	.	PUNCT
ejpam-1472	5	1	particular	particular	ADJ
ejpam-1472	5	2	results	result	NOUN
ejpam-1472	5	3	are	be	AUX
ejpam-1472	5	4	presented	present	VERB
ejpam-1472	5	5	.	.	PUNCT
ejpam-1472	6	1	2010	2010	NUM
ejpam-1472	6	2	mathematics	mathematic	NOUN
ejpam-1472	6	3	subject	subject	NOUN
ejpam-1472	6	4	classifications	classification	NOUN
ejpam-1472	6	5	:	:	PUNCT
ejpam-1472	6	6	30c45	30c45	NUM
ejpam-1472	6	7	key	key	ADJ
ejpam-1472	6	8	words	word	NOUN
ejpam-1472	6	9	and	and	CCONJ
ejpam-1472	6	10	phrases	phrase	NOUN
ejpam-1472	6	11	:	:	PUNCT
ejpam-1472	6	12	integral	integral	ADJ
ejpam-1472	6	13	operator	operator	NOUN
ejpam-1472	6	14	,	,	PUNCT
ejpam-1472	6	15	analytic	analytic	ADJ
ejpam-1472	6	16	function	function	NOUN
ejpam-1472	6	17	,	,	PUNCT
ejpam-1472	6	18	convex	convex	NOUN
ejpam-1472	6	19	function	function	NOUN
ejpam-1472	6	20	,	,	PUNCT
ejpam-1472	6	21	starlike	starlike	NOUN
ejpam-1472	6	22	function	function	NOUN
ejpam-1472	6	23	1	1	NUM
ejpam-1472	6	24	.	.	PUNCT
ejpam-1472	7	1	introduction	introduction	NOUN
ejpam-1472	7	2	leta	leta	PROPN
ejpam-1472	7	3	denote	denote	VERB
ejpam-1472	7	4	the	the	DET
ejpam-1472	7	5	class	class	NOUN
ejpam-1472	7	6	of	of	ADP
ejpam-1472	7	7	the	the	DET
ejpam-1472	7	8	functions	function	NOUN
ejpam-1472	7	9	f	f	PROPN
ejpam-1472	7	10	of	of	ADP
ejpam-1472	7	11	the	the	DET
ejpam-1472	7	12	form	form	NOUN
ejpam-1472	7	13	f	f	X
ejpam-1472	7	14	(	(	PUNCT
ejpam-1472	7	15	z	z	NOUN
ejpam-1472	7	16	)	)	PUNCT
ejpam-1472	7	17	=	=	SYM
ejpam-1472	7	18	z+	z+	NUM
ejpam-1472	7	19	∞	∞	NUM
ejpam-1472	7	20	∑	∑	PUNCT
ejpam-1472	7	21	n=2	n=2	PART
ejpam-1472	7	22	anzn	anzn	NOUN
ejpam-1472	7	23	which	which	PRON
ejpam-1472	7	24	are	be	AUX
ejpam-1472	7	25	analytic	analytic	ADJ
ejpam-1472	7	26	in	in	ADP
ejpam-1472	7	27	the	the	DET
ejpam-1472	7	28	open	open	ADJ
ejpam-1472	7	29	unit	unit	NOUN
ejpam-1472	7	30	disk	disk	NOUN
ejpam-1472	7	31	u	u	NOUN
ejpam-1472	7	32	=	=	PUNCT
ejpam-1472	7	33	{	{	PUNCT
ejpam-1472	7	34	z	z	PROPN
ejpam-1472	7	35	∈	∈	PROPN
ejpam-1472	7	36	c	c	NOUN
ejpam-1472	7	37	:	:	PUNCT
ejpam-1472	7	38	|z|	|z|	NOUN
ejpam-1472	7	39	<	<	X
ejpam-1472	7	40	1	1	NUM
ejpam-1472	7	41	}	}	PUNCT
ejpam-1472	7	42	.	.	PUNCT
ejpam-1472	8	1	we	we	PRON
ejpam-1472	8	2	also	also	ADV
ejpam-1472	8	3	denote	denote	VERB
ejpam-1472	8	4	by	by	ADP
ejpam-1472	8	5	s	s	PRON
ejpam-1472	8	6	the	the	DET
ejpam-1472	8	7	subclass	subclass	ADJ
ejpam-1472	8	8	ofa	ofa	NOUN
ejpam-1472	8	9	consisting	consist	VERB
ejpam-1472	8	10	of	of	ADP
ejpam-1472	8	11	functions	function	NOUN
ejpam-1472	8	12	which	which	PRON
ejpam-1472	8	13	are	be	AUX
ejpam-1472	8	14	univalent	univalent	ADJ
ejpam-1472	8	15	in	in	ADP
ejpam-1472	8	16	u	u	PROPN
ejpam-1472	8	17	.	.	PUNCT
ejpam-1472	9	1	a	a	DET
ejpam-1472	9	2	function	function	NOUN
ejpam-1472	9	3	f	f	PROPN
ejpam-1472	9	4	∈a	∈a	PROPN
ejpam-1472	9	5	is	be	AUX
ejpam-1472	9	6	said	say	VERB
ejpam-1472	9	7	to	to	PART
ejpam-1472	9	8	be	be	AUX
ejpam-1472	9	9	convex	convex	NOUN
ejpam-1472	9	10	of	of	ADP
ejpam-1472	9	11	order	order	NOUN
ejpam-1472	9	12	α	α	NOUN
ejpam-1472	9	13	,	,	PUNCT
ejpam-1472	9	14	0≤	0≤	ADJ
ejpam-1472	9	15	α	α	NOUN
ejpam-1472	9	16	<	<	X
ejpam-1472	9	17	1	1	NUM
ejpam-1472	9	18	if	if	SCONJ
ejpam-1472	9	19	it	it	PRON
ejpam-1472	9	20	satisfies	satisfy	VERB
ejpam-1472	9	21	the	the	DET
ejpam-1472	9	22	condition	condition	NOUN
ejpam-1472	9	23	re	re	ADP
ejpam-1472	9	24	�	�	PROPN
ejpam-1472	9	25	z	z	PROPN
ejpam-1472	9	26	f	f	PROPN
ejpam-1472	9	27	′′(z	′′(z	PROPN
ejpam-1472	9	28	)	)	PUNCT
ejpam-1472	9	29	f	f	PROPN
ejpam-1472	9	30	′(z	′(z	NOUN
ejpam-1472	9	31	)	)	PUNCT
ejpam-1472	10	1	+	+	CCONJ
ejpam-1472	10	2	1	1	NUM
ejpam-1472	10	3	�	�	PROPN
ejpam-1472	10	4	>	>	X
ejpam-1472	10	5	α	α	PROPN
ejpam-1472	10	6	,	,	PUNCT
ejpam-1472	10	7	(	(	PUNCT
ejpam-1472	10	8	z	z	NOUN
ejpam-1472	10	9	∈	∈	PROPN
ejpam-1472	10	10	u	u	NOUN
ejpam-1472	10	11	)	)	PUNCT
ejpam-1472	10	12	and	and	CCONJ
ejpam-1472	10	13	we	we	PRON
ejpam-1472	10	14	denote	denote	VERB
ejpam-1472	10	15	this	this	DET
ejpam-1472	10	16	class	class	NOUN
ejpam-1472	10	17	by	by	ADP
ejpam-1472	10	18	k(α	k(α	PROPN
ejpam-1472	10	19	)	)	PUNCT
ejpam-1472	10	20	.	.	PUNCT
ejpam-1472	11	1	a	a	DET
ejpam-1472	11	2	function	function	NOUN
ejpam-1472	11	3	f	f	PROPN
ejpam-1472	11	4	∈a	∈a	PROPN
ejpam-1472	11	5	is	be	AUX
ejpam-1472	11	6	said	say	VERB
ejpam-1472	11	7	to	to	PART
ejpam-1472	11	8	be	be	AUX
ejpam-1472	11	9	starlike	starlike	NOUN
ejpam-1472	11	10	of	of	ADP
ejpam-1472	11	11	order	order	NOUN
ejpam-1472	11	12	α	α	NOUN
ejpam-1472	11	13	,	,	PUNCT
ejpam-1472	11	14	0≤	0≤	ADJ
ejpam-1472	11	15	α≤	α≤	NOUN
ejpam-1472	11	16	1	1	NUM
ejpam-1472	11	17	if	if	SCONJ
ejpam-1472	11	18	it	it	PRON
ejpam-1472	11	19	satisfies	satisfy	VERB
ejpam-1472	11	20	the	the	DET
ejpam-1472	11	21	condition	condition	NOUN
ejpam-1472	11	22	re	re	ADP
ejpam-1472	11	23	�	�	PROPN
ejpam-1472	11	24	z	z	PROPN
ejpam-1472	11	25	f	f	PROPN
ejpam-1472	11	26	′(z	′(z	NOUN
ejpam-1472	11	27	)	)	PUNCT
ejpam-1472	11	28	f	f	PROPN
ejpam-1472	11	29	(	(	PUNCT
ejpam-1472	11	30	z	z	NOUN
ejpam-1472	11	31	)	)	PUNCT
ejpam-1472	11	32	�	�	PROPN
ejpam-1472	11	33	>	>	X
ejpam-1472	11	34	α	α	PROPN
ejpam-1472	11	35	,	,	PUNCT
ejpam-1472	11	36	(	(	PUNCT
ejpam-1472	11	37	z	z	NOUN
ejpam-1472	11	38	∈	∈	PROPN
ejpam-1472	11	39	u	u	NOUN
ejpam-1472	11	40	)	)	PUNCT
ejpam-1472	11	41	and	and	CCONJ
ejpam-1472	11	42	denote	denote	VERB
ejpam-1472	11	43	this	this	DET
ejpam-1472	11	44	class	class	NOUN
ejpam-1472	11	45	by	by	ADP
ejpam-1472	11	46	s∗(α	s∗(α	NOUN
ejpam-1472	11	47	)	)	PUNCT
ejpam-1472	11	48	.	.	PUNCT
ejpam-1472	12	1	∗corresponding	∗corresponde	VERB
ejpam-1472	12	2	author	author	NOUN
ejpam-1472	12	3	.	.	PUNCT
ejpam-1472	13	1	email	email	NOUN
ejpam-1472	13	2	addresses	address	NOUN
ejpam-1472	13	3	:	:	PUNCT
ejpam-1472	14	1	macariem@yahoo.com	macariem@yahoo.com	PROPN
ejpam-1472	14	2	(	(	PUNCT
ejpam-1472	14	3	v.	v.	ADP
ejpam-1472	14	4	macarie	macarie	NOUN
ejpam-1472	14	5	)	)	PUNCT
ejpam-1472	14	6	,	,	PUNCT
ejpam-1472	14	7	dbreaz@uab.ro	dbreaz@uab.ro	PROPN
ejpam-1472	14	8	(	(	PUNCT
ejpam-1472	14	9	d.	d.	NOUN
ejpam-1472	14	10	breaz	breaz	PROPN
ejpam-1472	14	11	)	)	PUNCT
ejpam-1472	14	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1472	15	1	307	307	NUM
ejpam-1472	15	2	c	c	X
ejpam-1472	15	3	©	©	PROPN
ejpam-1472	15	4	2013	2013	NUM
ejpam-1472	15	5	ejpam	ejpam	NOUN
ejpam-1472	15	6	all	all	DET
ejpam-1472	15	7	rights	right	NOUN
ejpam-1472	15	8	reserved	reserve	VERB
ejpam-1472	15	9	.	.	PUNCT
ejpam-1472	16	1	v.	v.	ADP
ejpam-1472	16	2	macarie	macarie	NOUN
ejpam-1472	16	3	,	,	PUNCT
ejpam-1472	16	4	d.	d.	PROPN
ejpam-1472	16	5	breaz	breaz	PROPN
ejpam-1472	16	6	/	/	SYM
ejpam-1472	16	7	eur	eur	PROPN
ejpam-1472	16	8	.	.	PUNCT
ejpam-1472	17	1	j.	j.	PROPN
ejpam-1472	17	2	pure	pure	PROPN
ejpam-1472	17	3	appl	appl	PROPN
ejpam-1472	17	4	.	.	PROPN
ejpam-1472	17	5	math	math	PROPN
ejpam-1472	17	6	,	,	PUNCT
ejpam-1472	17	7	6	6	NUM
ejpam-1472	17	8	(	(	PUNCT
ejpam-1472	17	9	2013	2013	NUM
ejpam-1472	17	10	)	)	PUNCT
ejpam-1472	17	11	,	,	PUNCT
ejpam-1472	17	12	307	307	NUM
ejpam-1472	17	13	-	-	SYM
ejpam-1472	17	14	314	314	NUM
ejpam-1472	17	15	308	308	NUM
ejpam-1472	17	16	let	let	VERB
ejpam-1472	17	17	n	n	PROPN
ejpam-1472	17	18	(	(	PUNCT
ejpam-1472	17	19	ρ	ρ	PROPN
ejpam-1472	17	20	)	)	PUNCT
ejpam-1472	17	21	be	be	VERB
ejpam-1472	17	22	the	the	DET
ejpam-1472	17	23	subclass	subclass	ADJ
ejpam-1472	17	24	ofa	ofa	NOUN
ejpam-1472	17	25	consisting	consist	VERB
ejpam-1472	17	26	of	of	ADP
ejpam-1472	17	27	the	the	DET
ejpam-1472	17	28	functions	function	NOUN
ejpam-1472	17	29	f	f	X
ejpam-1472	17	30	which	which	PRON
ejpam-1472	17	31	satisfy	satisfy	VERB
ejpam-1472	17	32	the	the	DET
ejpam-1472	17	33	inequality	inequality	NOUN
ejpam-1472	17	34	re	re	ADP
ejpam-1472	17	35	�	�	PROPN
ejpam-1472	17	36	1	1	NUM
ejpam-1472	17	37	+	+	PROPN
ejpam-1472	17	38	z	z	PROPN
ejpam-1472	17	39	f	f	NOUN
ejpam-1472	17	40	′′(z	′′(z	PROPN
ejpam-1472	17	41	)	)	PUNCT
ejpam-1472	17	42	f	f	PROPN
ejpam-1472	17	43	′(z	′(z	NOUN
ejpam-1472	17	44	)	)	PUNCT
ejpam-1472	17	45	�	�	PROPN
ejpam-1472	17	46	<	<	X
ejpam-1472	17	47	ρ	ρ	PROPN
ejpam-1472	17	48	,	,	PUNCT
ejpam-1472	17	49	ρ	ρ	PROPN
ejpam-1472	17	50	>	>	X
ejpam-1472	17	51	1	1	NUM
ejpam-1472	17	52	,	,	PUNCT
ejpam-1472	17	53	(	(	PUNCT
ejpam-1472	17	54	z	z	NOUN
ejpam-1472	17	55	∈	∈	PROPN
ejpam-1472	17	56	u	u	NOUN
ejpam-1472	17	57	)	)	PUNCT
ejpam-1472	17	58	.	.	PUNCT
ejpam-1472	18	1	this	this	DET
ejpam-1472	18	2	class	class	NOUN
ejpam-1472	18	3	was	be	AUX
ejpam-1472	18	4	studied	study	VERB
ejpam-1472	18	5	by	by	ADP
ejpam-1472	18	6	s.	s.	PROPN
ejpam-1472	18	7	owa	owa	PROPN
ejpam-1472	18	8	and	and	CCONJ
ejpam-1472	18	9	h.m	h.m	PROPN
ejpam-1472	18	10	.	.	PROPN
ejpam-1472	18	11	srivastava	srivastava	PROPN
ejpam-1472	18	12	in	in	ADP
ejpam-1472	18	13	[	[	X
ejpam-1472	18	14	5	5	NUM
ejpam-1472	18	15	]	]	PUNCT
ejpam-1472	18	16	.	.	PUNCT
ejpam-1472	19	1	a.	a.	PROPN
ejpam-1472	19	2	mohammed	mohammed	PROPN
ejpam-1472	19	3	et	et	PROPN
ejpam-1472	19	4	al	al	PROPN
ejpam-1472	19	5	.	.	PROPN
ejpam-1472	19	6	considered	consider	VERB
ejpam-1472	19	7	in	in	ADP
ejpam-1472	19	8	[	[	X
ejpam-1472	19	9	4	4	NUM
ejpam-1472	19	10	]	]	X
ejpam-1472	19	11	mt	mt	PROPN
ejpam-1472	19	12	(	(	PUNCT
ejpam-1472	19	13	µ,β	µ,β	PROPN
ejpam-1472	19	14	)	)	PUNCT
ejpam-1472	19	15	the	the	DET
ejpam-1472	19	16	subclass	subclass	NOUN
ejpam-1472	19	17	of	of	ADP
ejpam-1472	19	18	a	a	DET
ejpam-1472	19	19	consisting	consisting	NOUN
ejpam-1472	19	20	of	of	ADP
ejpam-1472	19	21	the	the	DET
ejpam-1472	19	22	functions	function	NOUN
ejpam-1472	19	23	f	f	X
ejpam-1472	19	24	which	which	PRON
ejpam-1472	19	25	satisfy	satisfy	VERB
ejpam-1472	19	26	the	the	DET
ejpam-1472	19	27	inequality	inequality	NOUN
ejpam-1472	19	28	�	�	PROPN
ejpam-1472	19	29	�	�	PROPN
ejpam-1472	19	30	�	�	PROPN
ejpam-1472	19	31	�	�	PROPN
ejpam-1472	19	32	z	z	PROPN
ejpam-1472	19	33	f	f	PROPN
ejpam-1472	19	34	′(z	′(z	NOUN
ejpam-1472	19	35	)	)	PUNCT
ejpam-1472	19	36	f	f	PROPN
ejpam-1472	19	37	(	(	PUNCT
ejpam-1472	19	38	z	z	NOUN
ejpam-1472	19	39	)	)	PUNCT
ejpam-1472	19	40	−	−	PROPN
ejpam-1472	19	41	1	1	NUM
ejpam-1472	19	42	�	�	PROPN
ejpam-1472	19	43	�	�	PROPN
ejpam-1472	19	44	�	�	PROPN
ejpam-1472	19	45	�	�	PROPN
ejpam-1472	19	46	<	<	X
ejpam-1472	19	47	β	β	X
ejpam-1472	19	48	�	�	PROPN
ejpam-1472	19	49	�	�	PROPN
ejpam-1472	19	50	�	�	PROPN
ejpam-1472	19	51	�	�	PROPN
ejpam-1472	19	52	µ	µ	PROPN
ejpam-1472	19	53	z	z	PROPN
ejpam-1472	19	54	f	f	PROPN
ejpam-1472	19	55	′(z	′(z	NOUN
ejpam-1472	20	1	)	)	PUNCT
ejpam-1472	20	2	f	f	PROPN
ejpam-1472	20	3	(	(	PUNCT
ejpam-1472	20	4	z	z	NOUN
ejpam-1472	20	5	)	)	PUNCT
ejpam-1472	20	6	+	+	CCONJ
ejpam-1472	20	7	1	1	NUM
ejpam-1472	20	8	�	�	PROPN
ejpam-1472	20	9	�	�	PROPN
ejpam-1472	20	10	�	�	PROPN
ejpam-1472	20	11	�	�	PROPN
ejpam-1472	20	12	,	,	PUNCT
ejpam-1472	20	13	0	0	PUNCT
ejpam-1472	20	14	<	<	X
ejpam-1472	20	15	β	β	X
ejpam-1472	20	16	≤	≤	NUM
ejpam-1472	20	17	1	1	NUM
ejpam-1472	20	18	,	,	PUNCT
ejpam-1472	20	19	0≤	0≤	NUM
ejpam-1472	20	20	µ	µ	X
ejpam-1472	20	21	<	<	X
ejpam-1472	20	22	1	1	NUM
ejpam-1472	20	23	,	,	PUNCT
ejpam-1472	20	24	(	(	PUNCT
ejpam-1472	20	25	z	z	NOUN
ejpam-1472	20	26	∈	∈	PROPN
ejpam-1472	20	27	u	u	NOUN
ejpam-1472	20	28	)	)	PUNCT
ejpam-1472	20	29	.	.	PUNCT
ejpam-1472	21	1	also	also	ADV
ejpam-1472	21	2	,	,	PUNCT
ejpam-1472	21	3	frasin	frasin	NOUN
ejpam-1472	21	4	and	and	CCONJ
ejpam-1472	21	5	jahangiri	jahangiri	PROPN
ejpam-1472	21	6	introduced	introduce	VERB
ejpam-1472	21	7	in	in	ADP
ejpam-1472	21	8	[	[	X
ejpam-1472	21	9	2	2	NUM
ejpam-1472	21	10	]	]	PUNCT
ejpam-1472	21	11	the	the	DET
ejpam-1472	21	12	family	family	NOUN
ejpam-1472	21	13	b(µ,α	b(µ,α	NOUN
ejpam-1472	21	14	)	)	PUNCT
ejpam-1472	21	15	,	,	PUNCT
ejpam-1472	21	16	µ	µ	X
ejpam-1472	21	17	≥	≥	NOUN
ejpam-1472	21	18	0	0	NUM
ejpam-1472	21	19	,	,	PUNCT
ejpam-1472	21	20	0	0	NUM
ejpam-1472	21	21	≤	≤	NUM
ejpam-1472	21	22	α	α	NOUN
ejpam-1472	21	23	≤	≤	NUM
ejpam-1472	21	24	1	1	NUM
ejpam-1472	21	25	,	,	PUNCT
ejpam-1472	21	26	consisting	consist	VERB
ejpam-1472	21	27	of	of	ADP
ejpam-1472	21	28	the	the	DET
ejpam-1472	21	29	functions	function	NOUN
ejpam-1472	21	30	f	f	X
ejpam-1472	21	31	which	which	PRON
ejpam-1472	21	32	satisfy	satisfy	VERB
ejpam-1472	21	33	the	the	DET
ejpam-1472	21	34	condition	condition	NOUN
ejpam-1472	21	35	�	�	PROPN
ejpam-1472	21	36	�	�	PROPN
ejpam-1472	21	37	�	�	PROPN
ejpam-1472	21	38	�	�	PROPN
ejpam-1472	21	39	f	f	PROPN
ejpam-1472	21	40	′(z	′(z	NOUN
ejpam-1472	21	41	)	)	PUNCT
ejpam-1472	21	42	�	�	PROPN
ejpam-1472	21	43	z	z	PROPN
ejpam-1472	21	44	f	f	PROPN
ejpam-1472	21	45	(	(	PUNCT
ejpam-1472	21	46	z	z	NOUN
ejpam-1472	21	47	)	)	PUNCT
ejpam-1472	21	48	�	�	PROPN
ejpam-1472	21	49	µ	µ	NOUN
ejpam-1472	21	50	−	−	PROPN
ejpam-1472	21	51	1	1	NUM
ejpam-1472	21	52	�	�	PROPN
ejpam-1472	21	53	�	�	PROPN
ejpam-1472	21	54	�	�	PROPN
ejpam-1472	21	55	�	�	PROPN
ejpam-1472	21	56	<	<	X
ejpam-1472	21	57	1−α	1−α	NUM
ejpam-1472	21	58	,	,	PUNCT
ejpam-1472	21	59	(	(	PUNCT
ejpam-1472	21	60	z	z	NOUN
ejpam-1472	21	61	∈	∈	PROPN
ejpam-1472	21	62	u	u	NOUN
ejpam-1472	21	63	)	)	PUNCT
ejpam-1472	21	64	.	.	PUNCT
ejpam-1472	22	1	this	this	DET
ejpam-1472	22	2	family	family	NOUN
ejpam-1472	22	3	is	be	AUX
ejpam-1472	22	4	a	a	DET
ejpam-1472	22	5	comprehensive	comprehensive	ADJ
ejpam-1472	22	6	class	class	NOUN
ejpam-1472	22	7	of	of	ADP
ejpam-1472	22	8	analytic	analytic	ADJ
ejpam-1472	22	9	functions	function	NOUN
ejpam-1472	22	10	that	that	PRON
ejpam-1472	22	11	includes	include	VERB
ejpam-1472	22	12	various	various	ADJ
ejpam-1472	22	13	classes	class	NOUN
ejpam-1472	22	14	of	of	ADP
ejpam-1472	22	15	analytic	analytic	ADJ
ejpam-1472	22	16	functions	function	NOUN
ejpam-1472	22	17	.	.	PUNCT
ejpam-1472	23	1	we	we	PRON
ejpam-1472	23	2	haveb(1,α)≡	haveb(1,α)≡	NOUN
ejpam-1472	23	3	s∗(α	s∗(α	PRON
ejpam-1472	23	4	)	)	PUNCT
ejpam-1472	23	5	andb(0,α)≡	andb(0,α)≡	PROPN
ejpam-1472	23	6	r(α	r(α	NOUN
ejpam-1472	23	7	)	)	PUNCT
ejpam-1472	23	8	.	.	PUNCT
ejpam-1472	24	1	let	let	AUX
ejpam-1472	24	2	β−sp(α	β−sp(α	PRON
ejpam-1472	24	3	)	)	PUNCT
ejpam-1472	24	4	be	be	AUX
ejpam-1472	24	5	the	the	DET
ejpam-1472	24	6	subclass	subclass	ADJ
ejpam-1472	24	7	ofa	ofa	NOUN
ejpam-1472	24	8	consisting	consist	VERB
ejpam-1472	24	9	of	of	ADP
ejpam-1472	24	10	the	the	DET
ejpam-1472	24	11	functions	function	NOUN
ejpam-1472	24	12	f	f	X
ejpam-1472	24	13	which	which	PRON
ejpam-1472	24	14	satisfy	satisfy	VERB
ejpam-1472	24	15	the	the	DET
ejpam-1472	24	16	inequality	inequality	NOUN
ejpam-1472	24	17	re	re	ADP
ejpam-1472	24	18	�	�	PROPN
ejpam-1472	24	19	z	z	PROPN
ejpam-1472	24	20	f	f	PROPN
ejpam-1472	24	21	′(z	′(z	NOUN
ejpam-1472	25	1	)	)	PUNCT
ejpam-1472	25	2	f	f	PROPN
ejpam-1472	25	3	(	(	PUNCT
ejpam-1472	25	4	z	z	NOUN
ejpam-1472	25	5	)	)	PUNCT
ejpam-1472	25	6	−α	−α	PROPN
ejpam-1472	25	7	�	�	PROPN
ejpam-1472	25	8	≥	≥	NUM
ejpam-1472	25	9	β	β	X
ejpam-1472	25	10	�	�	PROPN
ejpam-1472	25	11	�	�	PROPN
ejpam-1472	25	12	�	�	PROPN
ejpam-1472	25	13	�	�	PROPN
ejpam-1472	25	14	z	z	PROPN
ejpam-1472	25	15	f	f	PROPN
ejpam-1472	25	16	′(z	′(z	NOUN
ejpam-1472	25	17	)	)	PUNCT
ejpam-1472	25	18	f	f	PROPN
ejpam-1472	25	19	(	(	PUNCT
ejpam-1472	25	20	z	z	NOUN
ejpam-1472	25	21	)	)	PUNCT
ejpam-1472	25	22	−	−	PROPN
ejpam-1472	25	23	1	1	NUM
ejpam-1472	25	24	�	�	PROPN
ejpam-1472	25	25	�	�	PROPN
ejpam-1472	25	26	�	�	PROPN
ejpam-1472	25	27	�	�	PROPN
ejpam-1472	25	28	,	,	PUNCT
ejpam-1472	25	29	−1≤	−1≤	VERB
ejpam-1472	25	30	α≤	α≤	NOUN
ejpam-1472	25	31	1	1	NUM
ejpam-1472	25	32	,	,	PUNCT
ejpam-1472	25	33	β	β	X
ejpam-1472	25	34	>	>	X
ejpam-1472	25	35	0	0	NUM
ejpam-1472	25	36	,	,	PUNCT
ejpam-1472	25	37	(	(	PUNCT
ejpam-1472	25	38	z	z	NOUN
ejpam-1472	25	39	∈	∈	PROPN
ejpam-1472	25	40	u	u	NOUN
ejpam-1472	25	41	)	)	PUNCT
ejpam-1472	25	42	.	.	PUNCT
ejpam-1472	26	1	this	this	DET
ejpam-1472	26	2	class	class	NOUN
ejpam-1472	26	3	was	be	AUX
ejpam-1472	26	4	studied	study	VERB
ejpam-1472	26	5	by	by	ADP
ejpam-1472	26	6	m.	m.	NOUN
ejpam-1472	26	7	darus	darus	NOUN
ejpam-1472	26	8	in	in	ADP
ejpam-1472	26	9	[	[	X
ejpam-1472	26	10	1	1	NUM
ejpam-1472	26	11	]	]	PUNCT
ejpam-1472	26	12	.	.	PUNCT
ejpam-1472	27	1	a	a	DET
ejpam-1472	27	2	function	function	NOUN
ejpam-1472	27	3	f	f	PROPN
ejpam-1472	27	4	is	be	AUX
ejpam-1472	27	5	said	say	VERB
ejpam-1472	27	6	to	to	PART
ejpam-1472	27	7	be	be	AUX
ejpam-1472	27	8	in	in	ADP
ejpam-1472	27	9	the	the	DET
ejpam-1472	27	10	class	class	NOUN
ejpam-1472	27	11	kd(µ,α	kd(µ,α	NOUN
ejpam-1472	27	12	)	)	PUNCT
ejpam-1472	27	13	if	if	SCONJ
ejpam-1472	27	14	it	it	PRON
ejpam-1472	27	15	satisfies	satisfy	VERB
ejpam-1472	27	16	the	the	DET
ejpam-1472	27	17	inequality	inequality	NOUN
ejpam-1472	27	18	re	re	ADP
ejpam-1472	27	19	�	�	PROPN
ejpam-1472	27	20	z	z	PROPN
ejpam-1472	27	21	f	f	PROPN
ejpam-1472	27	22	′′(z	′′(z	PROPN
ejpam-1472	27	23	)	)	PUNCT
ejpam-1472	27	24	f	f	PROPN
ejpam-1472	27	25	′(z	′(z	NOUN
ejpam-1472	27	26	)	)	PUNCT
ejpam-1472	28	1	+	+	CCONJ
ejpam-1472	28	2	1	1	NUM
ejpam-1472	28	3	�	�	PROPN
ejpam-1472	28	4	≥	≥	PROPN
ejpam-1472	28	5	µ	µ	PROPN
ejpam-1472	28	6	�	�	PROPN
ejpam-1472	28	7	�	�	PROPN
ejpam-1472	28	8	�	�	PROPN
ejpam-1472	28	9	�	�	PROPN
ejpam-1472	28	10	z	z	PROPN
ejpam-1472	28	11	f	f	PROPN
ejpam-1472	28	12	′′(z	′′(z	PROPN
ejpam-1472	28	13	)	)	PUNCT
ejpam-1472	28	14	f	f	PROPN
ejpam-1472	28	15	′(z	′(z	NOUN
ejpam-1472	28	16	)	)	PUNCT
ejpam-1472	28	17	�	�	PROPN
ejpam-1472	28	18	�	�	PROPN
ejpam-1472	28	19	�	�	PROPN
ejpam-1472	28	20	�	�	PROPN
ejpam-1472	28	21	+	+	PROPN
ejpam-1472	28	22	α	α	PROPN
ejpam-1472	28	23	,	,	PUNCT
ejpam-1472	28	24	µ≥	µ≥	PROPN
ejpam-1472	28	25	0	0	NUM
ejpam-1472	28	26	,	,	PUNCT
ejpam-1472	28	27	0≤	0≤	NUM
ejpam-1472	28	28	α	α	NOUN
ejpam-1472	28	29	<	<	X
ejpam-1472	28	30	1	1	NUM
ejpam-1472	28	31	,	,	PUNCT
ejpam-1472	28	32	(	(	PUNCT
ejpam-1472	28	33	z	z	NOUN
ejpam-1472	28	34	∈	∈	PROPN
ejpam-1472	28	35	u	u	NOUN
ejpam-1472	28	36	)	)	PUNCT
ejpam-1472	28	37	.	.	PUNCT
ejpam-1472	29	1	this	this	DET
ejpam-1472	29	2	class	class	NOUN
ejpam-1472	29	3	was	be	AUX
ejpam-1472	29	4	studied	study	VERB
ejpam-1472	29	5	by	by	ADP
ejpam-1472	29	6	s.	s.	PROPN
ejpam-1472	29	7	shams	shams	PROPN
ejpam-1472	29	8	et	et	PROPN
ejpam-1472	29	9	al	al	PROPN
ejpam-1472	29	10	.	.	PUNCT
ejpam-1472	30	1	in	in	ADP
ejpam-1472	30	2	[	[	X
ejpam-1472	30	3	6	6	NUM
ejpam-1472	30	4	]	]	PUNCT
ejpam-1472	30	5	.	.	PUNCT
ejpam-1472	31	1	in	in	ADP
ejpam-1472	31	2	the	the	DET
ejpam-1472	31	3	present	present	ADJ
ejpam-1472	31	4	paper	paper	NOUN
ejpam-1472	31	5	we	we	PRON
ejpam-1472	31	6	study	study	VERB
ejpam-1472	31	7	some	some	DET
ejpam-1472	31	8	properties	property	NOUN
ejpam-1472	31	9	for	for	ADP
ejpam-1472	31	10	the	the	DET
ejpam-1472	31	11	integral	integral	ADJ
ejpam-1472	31	12	operator	operator	NOUN
ejpam-1472	31	13	gn	gn	PROPN
ejpam-1472	31	14	defined	define	VERB
ejpam-1472	31	15	by	by	ADP
ejpam-1472	31	16	gn(z	gn(z	NOUN
ejpam-1472	31	17	)	)	PUNCT
ejpam-1472	31	18	=	=	PUNCT
ejpam-1472	32	1	∫	∫	PROPN
ejpam-1472	32	2	z	z	NOUN
ejpam-1472	32	3	0	0	NUM
ejpam-1472	33	1	n	n	CCONJ
ejpam-1472	33	2	∏	∏	PROPN
ejpam-1472	33	3	i=1	i=1	PROPN
ejpam-1472	33	4	�	�	PROPN
ejpam-1472	33	5	fi(t	fi(t	NOUN
ejpam-1472	33	6	)	)	PUNCT
ejpam-1472	33	7	�	�	PROPN
ejpam-1472	33	8	γi−1	γi−1	NOUN
ejpam-1472	33	9	(	(	PUNCT
ejpam-1472	33	10	g	g	NOUN
ejpam-1472	33	11	′i(t	′i(t	NOUN
ejpam-1472	33	12	)	)	PUNCT
ejpam-1472	33	13	)	)	PUNCT
ejpam-1472	33	14	ηi	ηi	PROPN
ejpam-1472	33	15	dt	dt	X
ejpam-1472	33	16	(	(	PUNCT
ejpam-1472	33	17	1	1	NUM
ejpam-1472	33	18	)	)	PUNCT
ejpam-1472	33	19	on	on	ADP
ejpam-1472	33	20	the	the	DET
ejpam-1472	33	21	classes	class	NOUN
ejpam-1472	33	22	presented	present	VERB
ejpam-1472	33	23	above	above	ADV
ejpam-1472	33	24	.	.	PUNCT
ejpam-1472	34	1	in	in	ADP
ejpam-1472	34	2	order	order	NOUN
ejpam-1472	34	3	to	to	PART
ejpam-1472	34	4	prove	prove	VERB
ejpam-1472	34	5	our	our	PRON
ejpam-1472	34	6	main	main	ADJ
ejpam-1472	34	7	results	result	NOUN
ejpam-1472	34	8	we	we	PRON
ejpam-1472	34	9	need	need	VERB
ejpam-1472	34	10	the	the	DET
ejpam-1472	34	11	following	follow	VERB
ejpam-1472	34	12	lemma	lemma	PROPN
ejpam-1472	34	13	:	:	PUNCT
ejpam-1472	34	14	lemma	lemma	PROPN
ejpam-1472	34	15	1	1	NUM
ejpam-1472	34	16	(	(	PUNCT
ejpam-1472	34	17	general	general	ADJ
ejpam-1472	34	18	schwarz	schwarz	PROPN
ejpam-1472	34	19	lemma	lemma	PROPN
ejpam-1472	34	20	[	[	X
ejpam-1472	34	21	3	3	NUM
ejpam-1472	34	22	]	]	PUNCT
ejpam-1472	34	23	)	)	PUNCT
ejpam-1472	34	24	.	.	PUNCT
ejpam-1472	35	1	let	let	VERB
ejpam-1472	35	2	the	the	DET
ejpam-1472	35	3	function	function	NOUN
ejpam-1472	35	4	f	f	PROPN
ejpam-1472	35	5	be	be	AUX
ejpam-1472	35	6	regular	regular	ADJ
ejpam-1472	35	7	in	in	ADP
ejpam-1472	35	8	the	the	DET
ejpam-1472	35	9	disk	disk	NOUN
ejpam-1472	35	10	ur	ur	INTJ
ejpam-1472	35	11	=	=	PUNCT
ejpam-1472	35	12	{	{	PUNCT
ejpam-1472	35	13	z	z	NOUN
ejpam-1472	35	14	∈	∈	PROPN
ejpam-1472	35	15	c	c	NOUN
ejpam-1472	35	16	:	:	PUNCT
ejpam-1472	35	17	|z|	|z|	NOUN
ejpam-1472	35	18	<	<	X
ejpam-1472	35	19	r	r	NOUN
ejpam-1472	35	20	}	}	PUNCT
ejpam-1472	35	21	,	,	PUNCT
ejpam-1472	35	22	with	with	ADP
ejpam-1472	35	23	|	|	ADV
ejpam-1472	36	1	f	f	X
ejpam-1472	37	1	(	(	PUNCT
ejpam-1472	37	2	z)|	z)|	X
ejpam-1472	37	3	<	<	X
ejpam-1472	37	4	m	m	VERB
ejpam-1472	37	5	for	for	ADP
ejpam-1472	37	6	fixed	fix	VERB
ejpam-1472	37	7	m.	m.	NOUN
ejpam-1472	37	8	if	if	SCONJ
ejpam-1472	37	9	f	f	PROPN
ejpam-1472	37	10	has	have	VERB
ejpam-1472	37	11	one	one	NUM
ejpam-1472	37	12	zero	zero	NUM
ejpam-1472	37	13	with	with	ADP
ejpam-1472	37	14	multiplicity	multiplicity	NOUN
ejpam-1472	37	15	order	order	NOUN
ejpam-1472	37	16	bigger	big	ADJ
ejpam-1472	37	17	than	than	ADP
ejpam-1472	37	18	m	m	VERB
ejpam-1472	37	19	for	for	ADP
ejpam-1472	37	20	z	z	NOUN
ejpam-1472	37	21	=	=	SYM
ejpam-1472	37	22	0	0	NUM
ejpam-1472	37	23	,	,	PUNCT
ejpam-1472	37	24	then	then	ADV
ejpam-1472	37	25	|	|	ADV
ejpam-1472	37	26	f	f	X
ejpam-1472	37	27	(	(	PUNCT
ejpam-1472	37	28	z)|	z)|	ADP
ejpam-1472	37	29	≤	≤	NUM
ejpam-1472	37	30	m	m	VERB
ejpam-1472	37	31	rm	rm	NOUN
ejpam-1472	37	32	·	·	PUNCT
ejpam-1472	37	33	|z|	|z|	PROPN
ejpam-1472	37	34	m	m	VERB
ejpam-1472	37	35	(	(	PUNCT
ejpam-1472	37	36	z	z	NOUN
ejpam-1472	37	37	∈	∈	PROPN
ejpam-1472	37	38	ur	ur	NOUN
ejpam-1472	37	39	)	)	PUNCT
ejpam-1472	37	40	.	.	PUNCT
ejpam-1472	38	1	the	the	DET
ejpam-1472	38	2	equality	equality	NOUN
ejpam-1472	38	3	can	can	AUX
ejpam-1472	38	4	hold	hold	VERB
ejpam-1472	38	5	only	only	ADV
ejpam-1472	38	6	if	if	SCONJ
ejpam-1472	38	7	f	f	PROPN
ejpam-1472	38	8	(	(	PUNCT
ejpam-1472	38	9	z	z	NOUN
ejpam-1472	38	10	)	)	PUNCT
ejpam-1472	38	11	=	=	SYM
ejpam-1472	38	12	eiθ	eiθ	PROPN
ejpam-1472	38	13	·	·	PUNCT
ejpam-1472	38	14	m	m	VERB
ejpam-1472	38	15	rm	rm	NOUN
ejpam-1472	38	16	·	·	PUNCT
ejpam-1472	38	17	z	z	NOUN
ejpam-1472	38	18	m	m	PROPN
ejpam-1472	38	19	,	,	PUNCT
ejpam-1472	38	20	where	where	SCONJ
ejpam-1472	38	21	θ	θ	PROPN
ejpam-1472	38	22	is	be	AUX
ejpam-1472	38	23	constant	constant	ADJ
ejpam-1472	38	24	.	.	PUNCT
ejpam-1472	39	1	v.	v.	ADP
ejpam-1472	39	2	macarie	macarie	NOUN
ejpam-1472	39	3	,	,	PUNCT
ejpam-1472	39	4	d.	d.	PROPN
ejpam-1472	39	5	breaz	breaz	PROPN
ejpam-1472	39	6	/	/	SYM
ejpam-1472	39	7	eur	eur	PROPN
ejpam-1472	39	8	.	.	PUNCT
ejpam-1472	40	1	j.	j.	PROPN
ejpam-1472	40	2	pure	pure	PROPN
ejpam-1472	40	3	appl	appl	PROPN
ejpam-1472	40	4	.	.	PROPN
ejpam-1472	40	5	math	math	PROPN
ejpam-1472	40	6	,	,	PUNCT
ejpam-1472	40	7	6	6	NUM
ejpam-1472	40	8	(	(	PUNCT
ejpam-1472	40	9	2013	2013	NUM
ejpam-1472	40	10	)	)	PUNCT
ejpam-1472	40	11	,	,	PUNCT
ejpam-1472	40	12	307	307	NUM
ejpam-1472	40	13	-	-	SYM
ejpam-1472	40	14	314	314	NUM
ejpam-1472	40	15	309	309	NUM
ejpam-1472	40	16	2	2	NUM
ejpam-1472	40	17	.	.	PUNCT
ejpam-1472	40	18	main	main	ADJ
ejpam-1472	40	19	results	result	NOUN
ejpam-1472	40	20	theorem	theorem	VERB
ejpam-1472	40	21	1	1	NUM
ejpam-1472	40	22	.	.	PUNCT
ejpam-1472	41	1	let	let	VERB
ejpam-1472	41	2	γi	γi	INTJ
ejpam-1472	41	3	∈	∈	PROPN
ejpam-1472	41	4	r	r	NOUN
ejpam-1472	41	5	,	,	PUNCT
ejpam-1472	41	6	γi	γi	INTJ
ejpam-1472	41	7	>	>	X
ejpam-1472	41	8	1	1	NUM
ejpam-1472	41	9	,	,	PUNCT
ejpam-1472	41	10	ηi	ηi	PROPN
ejpam-1472	41	11	∈	∈	PROPN
ejpam-1472	41	12	r	r	PROPN
ejpam-1472	41	13	,	,	PUNCT
ejpam-1472	41	14	ηi	ηi	X
ejpam-1472	41	15	>	>	X
ejpam-1472	41	16	0	0	PUNCT
ejpam-1472	42	1	for	for	ADP
ejpam-1472	42	2	all	all	DET
ejpam-1472	42	3	i	i	PRON
ejpam-1472	42	4	=	=	NOUN
ejpam-1472	42	5	1	1	NUM
ejpam-1472	42	6	,	,	PUNCT
ejpam-1472	42	7	2	2	NUM
ejpam-1472	42	8	,	,	PUNCT
ejpam-1472	42	9	.	.	PUNCT
ejpam-1472	42	10	.	.	PUNCT
ejpam-1472	42	11	.	.	PUNCT
ejpam-1472	43	1	,	,	PUNCT
ejpam-1472	43	2	n	n	CCONJ
ejpam-1472	43	3	,	,	PUNCT
ejpam-1472	43	4	the	the	DET
ejpam-1472	43	5	functions	function	NOUN
ejpam-1472	43	6	fi	fi	NOUN
ejpam-1472	43	7	∈	∈	PROPN
ejpam-1472	43	8	mt	mt	PROPN
ejpam-1472	43	9	(	(	PUNCT
ejpam-1472	43	10	µi	µi	INTJ
ejpam-1472	43	11	,	,	PUNCT
ejpam-1472	43	12	βi	βi	PROPN
ejpam-1472	43	13	)	)	PUNCT
ejpam-1472	43	14	,	,	PUNCT
ejpam-1472	43	15	0	0	PUNCT
ejpam-1472	43	16	<	<	X
ejpam-1472	43	17	βi	βi	VERB
ejpam-1472	43	18	≤	≤	NUM
ejpam-1472	43	19	1	1	NUM
ejpam-1472	43	20	,	,	PUNCT
ejpam-1472	43	21	0	0	NUM
ejpam-1472	43	22	≤	≤	NUM
ejpam-1472	44	1	µi	µi	ADP
ejpam-1472	44	2	<	<	X
ejpam-1472	44	3	1	1	NUM
ejpam-1472	44	4	and	and	CCONJ
ejpam-1472	44	5	gi	gi	ADP
ejpam-1472	44	6	∈	∈	PROPN
ejpam-1472	44	7	a	a	PRON
ejpam-1472	44	8	for	for	ADP
ejpam-1472	44	9	all	all	DET
ejpam-1472	44	10	i	i	NOUN
ejpam-1472	44	11	=	=	SYM
ejpam-1472	44	12	1,2	1,2	NUM
ejpam-1472	44	13	,	,	PUNCT
ejpam-1472	44	14	.	.	PUNCT
ejpam-1472	44	15	.	.	PUNCT
ejpam-1472	45	1	.	.	PUNCT
ejpam-1472	46	1	,	,	PUNCT
ejpam-1472	46	2	n	n	CCONJ
ejpam-1472	46	3	satisfying	satisfy	VERB
ejpam-1472	46	4	the	the	DET
ejpam-1472	46	5	conditions	condition	NOUN
ejpam-1472	46	6	�	�	PROPN
ejpam-1472	46	7	�	�	PROPN
ejpam-1472	46	8	�	�	PROPN
ejpam-1472	46	9	�	�	PROPN
ejpam-1472	46	10	�	�	PROPN
ejpam-1472	46	11	f	f	PROPN
ejpam-1472	46	12	′i	′i	NOUN
ejpam-1472	46	13	(	(	PUNCT
ejpam-1472	46	14	z	z	NOUN
ejpam-1472	46	15	)	)	PUNCT
ejpam-1472	46	16	fi(z	fi(z	NOUN
ejpam-1472	46	17	)	)	PUNCT
ejpam-1472	46	18	�	�	PROPN
ejpam-1472	46	19	�	�	PROPN
ejpam-1472	46	20	�	�	PROPN
ejpam-1472	46	21	�	�	PROPN
ejpam-1472	46	22	�	�	PROPN
ejpam-1472	46	23	<	<	X
ejpam-1472	46	24	mi	mi	PROPN
ejpam-1472	46	25	,	,	PUNCT
ejpam-1472	46	26	(	(	PUNCT
ejpam-1472	46	27	mi	mi	X
ejpam-1472	46	28	≥	≥	PROPN
ejpam-1472	46	29	1	1	NUM
ejpam-1472	46	30	)	)	PUNCT
ejpam-1472	46	31	for	for	ADP
ejpam-1472	46	32	all	all	DET
ejpam-1472	46	33	i	i	NOUN
ejpam-1472	46	34	=	=	SYM
ejpam-1472	46	35	1,2	1,2	NUM
ejpam-1472	46	36	,	,	PUNCT
ejpam-1472	46	37	.	.	PUNCT
ejpam-1472	46	38	.	.	PUNCT
ejpam-1472	47	1	.	.	PUNCT
ejpam-1472	48	1	,	,	PUNCT
ejpam-1472	48	2	n	n	X
ejpam-1472	48	3	(	(	PUNCT
ejpam-1472	48	4	2	2	NUM
ejpam-1472	48	5	)	)	PUNCT
ejpam-1472	48	6	and	and	CCONJ
ejpam-1472	48	7	�	�	PROPN
ejpam-1472	48	8	�	�	PROPN
ejpam-1472	48	9	�	�	PROPN
ejpam-1472	48	10	�	�	PROPN
ejpam-1472	48	11	�	�	PROPN
ejpam-1472	48	12	g	g	PROPN
ejpam-1472	48	13	′′i	′′i	NOUN
ejpam-1472	48	14	(	(	PUNCT
ejpam-1472	48	15	z	z	NOUN
ejpam-1472	48	16	)	)	PUNCT
ejpam-1472	48	17	g	g	PROPN
ejpam-1472	48	18	′i(z	′i(z	PROPN
ejpam-1472	48	19	)	)	PUNCT
ejpam-1472	48	20	�	�	PROPN
ejpam-1472	48	21	�	�	PROPN
ejpam-1472	48	22	�	�	PROPN
ejpam-1472	48	23	�	�	PROPN
ejpam-1472	48	24	�	�	PROPN
ejpam-1472	48	25	<	<	X
ejpam-1472	48	26	ni	ni	PROPN
ejpam-1472	48	27	,	,	PUNCT
ejpam-1472	48	28	(	(	PUNCT
ejpam-1472	48	29	ni	ni	PROPN
ejpam-1472	48	30	≥	≥	PROPN
ejpam-1472	48	31	1	1	NUM
ejpam-1472	48	32	)	)	PUNCT
ejpam-1472	48	33	for	for	ADP
ejpam-1472	48	34	all	all	DET
ejpam-1472	48	35	i	i	PRON
ejpam-1472	48	36	=	=	NOUN
ejpam-1472	48	37	1	1	NUM
ejpam-1472	48	38	,	,	PUNCT
ejpam-1472	48	39	2	2	NUM
ejpam-1472	48	40	,	,	PUNCT
ejpam-1472	48	41	.	.	PUNCT
ejpam-1472	48	42	.	.	PUNCT
ejpam-1472	48	43	.	.	PUNCT
ejpam-1472	49	1	,	,	PUNCT
ejpam-1472	49	2	n.	n.	NOUN
ejpam-1472	49	3	(	(	PUNCT
ejpam-1472	49	4	3	3	NUM
ejpam-1472	49	5	)	)	PUNCT
ejpam-1472	49	6	then	then	ADV
ejpam-1472	49	7	the	the	DET
ejpam-1472	49	8	integral	integral	ADJ
ejpam-1472	49	9	operator	operator	NOUN
ejpam-1472	49	10	gn	gn	PROPN
ejpam-1472	49	11	defined	define	VERB
ejpam-1472	49	12	in	in	ADP
ejpam-1472	49	13	(	(	PUNCT
ejpam-1472	49	14	1	1	NUM
ejpam-1472	49	15	)	)	PUNCT
ejpam-1472	49	16	is	be	AUX
ejpam-1472	49	17	in	in	ADP
ejpam-1472	49	18	n	n	PROPN
ejpam-1472	49	19	(	(	PUNCT
ejpam-1472	49	20	ρ	ρ	PROPN
ejpam-1472	49	21	)	)	PUNCT
ejpam-1472	49	22	,	,	PUNCT
ejpam-1472	49	23	where	where	SCONJ
ejpam-1472	49	24	ρ	ρ	NOUN
ejpam-1472	49	25	=	=	SYM
ejpam-1472	49	26	1	1	NUM
ejpam-1472	49	27	+	+	NUM
ejpam-1472	49	28	n	n	CCONJ
ejpam-1472	49	29	∑	∑	ADP
ejpam-1472	49	30	i=1	i=1	PROPN
ejpam-1472	49	31	�	�	PROPN
ejpam-1472	49	32	(	(	PUNCT
ejpam-1472	49	33	γi	γi	INTJ
ejpam-1472	49	34	−	−	PROPN
ejpam-1472	49	35	1)(βiµi	1)(βiµi	PROPN
ejpam-1472	49	36	mi	mi	PROPN
ejpam-1472	49	37	+	+	CCONJ
ejpam-1472	49	38	βi	βi	PROPN
ejpam-1472	50	1	+	+	NUM
ejpam-1472	50	2	1	1	X
ejpam-1472	50	3	)	)	PUNCT
ejpam-1472	50	4	+	+	NOUN
ejpam-1472	50	5	ηini	ηini	NOUN
ejpam-1472	50	6	�	�	NOUN
ejpam-1472	50	7	proof	proof	NOUN
ejpam-1472	50	8	.	.	PUNCT
ejpam-1472	51	1	from	from	ADP
ejpam-1472	51	2	(	(	PUNCT
ejpam-1472	51	3	1	1	NUM
ejpam-1472	51	4	)	)	PUNCT
ejpam-1472	51	5	,	,	PUNCT
ejpam-1472	51	6	we	we	PRON
ejpam-1472	51	7	have	have	VERB
ejpam-1472	51	8	g′n(z	g′n(z	NOUN
ejpam-1472	51	9	)	)	PUNCT
ejpam-1472	52	1	=	=	SYM
ejpam-1472	52	2	n	n	CCONJ
ejpam-1472	52	3	∏	∏	PROPN
ejpam-1472	52	4	i=1	i=1	PROPN
ejpam-1472	52	5	�	�	PROPN
ejpam-1472	52	6	fi(z	fi(z	PART
ejpam-1472	52	7	)	)	PUNCT
ejpam-1472	52	8	�	�	PROPN
ejpam-1472	52	9	γi−1	γi−1	NOUN
ejpam-1472	52	10	(	(	PUNCT
ejpam-1472	52	11	g	g	PROPN
ejpam-1472	52	12	′i(z	′i(z	PROPN
ejpam-1472	52	13	)	)	PUNCT
ejpam-1472	52	14	)	)	PUNCT
ejpam-1472	52	15	ηi	ηi	NOUN
ejpam-1472	52	16	and	and	CCONJ
ejpam-1472	52	17	zg′′n	zg′′n	PROPN
ejpam-1472	52	18	(	(	PUNCT
ejpam-1472	52	19	z	z	NOUN
ejpam-1472	52	20	)	)	PUNCT
ejpam-1472	52	21	g′n(z	g′n(z	NOUN
ejpam-1472	52	22	)	)	PUNCT
ejpam-1472	52	23	=	=	SYM
ejpam-1472	53	1	n	n	PROPN
ejpam-1472	53	2	∑	∑	PROPN
ejpam-1472	53	3	i=1	i=1	PROPN
ejpam-1472	53	4	(	(	PUNCT
ejpam-1472	53	5	γi	γi	INTJ
ejpam-1472	53	6	−	−	PROPN
ejpam-1472	53	7	1	1	NUM
ejpam-1472	53	8	)	)	PUNCT
ejpam-1472	53	9	z	z	NOUN
ejpam-1472	53	10	f	f	NOUN
ejpam-1472	54	1	′i	′i	NOUN
ejpam-1472	54	2	(	(	PUNCT
ejpam-1472	54	3	z	z	NOUN
ejpam-1472	54	4	)	)	PUNCT
ejpam-1472	54	5	fi(z	fi(z	PROPN
ejpam-1472	54	6	)	)	PUNCT
ejpam-1472	55	1	+	+	CCONJ
ejpam-1472	55	2	n	n	CCONJ
ejpam-1472	55	3	∑	∑	ADP
ejpam-1472	55	4	i=1	i=1	PROPN
ejpam-1472	55	5	ηi	ηi	PROPN
ejpam-1472	55	6	zg	zg	PROPN
ejpam-1472	55	7	′′i	′′i	PROPN
ejpam-1472	55	8	(	(	PUNCT
ejpam-1472	55	9	z	z	NOUN
ejpam-1472	55	10	)	)	PUNCT
ejpam-1472	55	11	g	g	PROPN
ejpam-1472	55	12	′i(z	′i(z	PROPN
ejpam-1472	55	13	)	)	PUNCT
ejpam-1472	55	14	.	.	PUNCT
ejpam-1472	56	1	thus	thus	ADV
ejpam-1472	56	2	,	,	PUNCT
ejpam-1472	56	3	we	we	PRON
ejpam-1472	56	4	have	have	AUX
ejpam-1472	56	5	re	re	VERB
ejpam-1472	56	6	�	�	PROPN
ejpam-1472	56	7	zg′′n	zg′′n	X
ejpam-1472	56	8	(	(	PUNCT
ejpam-1472	56	9	z	z	NOUN
ejpam-1472	56	10	)	)	PUNCT
ejpam-1472	56	11	g′n(z	g′n(z	NOUN
ejpam-1472	56	12	)	)	PUNCT
ejpam-1472	57	1	+	+	CCONJ
ejpam-1472	57	2	1	1	NUM
ejpam-1472	57	3	�	�	NOUN
ejpam-1472	57	4	=	=	SYM
ejpam-1472	57	5	n	n	PROPN
ejpam-1472	57	6	∑	∑	PROPN
ejpam-1472	57	7	i=1	i=1	PROPN
ejpam-1472	57	8	(	(	PUNCT
ejpam-1472	57	9	γi	γi	INTJ
ejpam-1472	57	10	−	−	VERB
ejpam-1472	57	11	1)re	1)re	PROPN
ejpam-1472	57	12	�	�	PROPN
ejpam-1472	57	13	z	z	PROPN
ejpam-1472	57	14	f	f	PROPN
ejpam-1472	57	15	′i	′i	NOUN
ejpam-1472	57	16	(	(	PUNCT
ejpam-1472	57	17	z	z	NOUN
ejpam-1472	57	18	)	)	PUNCT
ejpam-1472	57	19	fi(z	fi(z	PROPN
ejpam-1472	57	20	)	)	PUNCT
ejpam-1472	57	21	�	�	PROPN
ejpam-1472	57	22	+	+	CCONJ
ejpam-1472	57	23	n	n	CCONJ
ejpam-1472	57	24	∑	∑	ADP
ejpam-1472	57	25	i=1	i=1	PROPN
ejpam-1472	57	26	ηire	ηire	PROPN
ejpam-1472	57	27	�	�	PROPN
ejpam-1472	57	28	zg	zg	PROPN
ejpam-1472	57	29	′′i	′′i	NOUN
ejpam-1472	57	30	(	(	PUNCT
ejpam-1472	57	31	z	z	NOUN
ejpam-1472	57	32	)	)	PUNCT
ejpam-1472	57	33	g	g	PROPN
ejpam-1472	57	34	′i(z	′i(z	PROPN
ejpam-1472	57	35	)	)	PUNCT
ejpam-1472	57	36	�	�	PROPN
ejpam-1472	57	37	+	+	CCONJ
ejpam-1472	57	38	1	1	X
ejpam-1472	57	39	.	.	PUNCT
ejpam-1472	57	40	since	since	SCONJ
ejpam-1472	57	41	re	re	ADP
ejpam-1472	57	42	w	w	PROPN
ejpam-1472	57	43	≤	≤	PROPN
ejpam-1472	57	44	|w|	|w|	PROPN
ejpam-1472	57	45	,	,	PUNCT
ejpam-1472	57	46	then	then	ADV
ejpam-1472	57	47	re	re	VERB
ejpam-1472	57	48	�	�	PROPN
ejpam-1472	57	49	zg′′n	zg′′n	X
ejpam-1472	57	50	(	(	PUNCT
ejpam-1472	57	51	z	z	NOUN
ejpam-1472	57	52	)	)	PUNCT
ejpam-1472	57	53	g′n(z	g′n(z	NOUN
ejpam-1472	57	54	)	)	PUNCT
ejpam-1472	58	1	+	+	CCONJ
ejpam-1472	58	2	1	1	NUM
ejpam-1472	58	3	�	�	PROPN
ejpam-1472	58	4	≤	≤	PROPN
ejpam-1472	58	5	n	n	CCONJ
ejpam-1472	58	6	∑	∑	PROPN
ejpam-1472	58	7	i=1	i=1	PROPN
ejpam-1472	58	8	(	(	PUNCT
ejpam-1472	58	9	γi	γi	INTJ
ejpam-1472	58	10	−	−	ADP
ejpam-1472	58	11	1	1	NUM
ejpam-1472	58	12	)	)	PUNCT
ejpam-1472	58	13	�	�	PROPN
ejpam-1472	58	14	�	�	PROPN
ejpam-1472	58	15	�	�	PROPN
ejpam-1472	58	16	�	�	PROPN
ejpam-1472	58	17	�	�	PROPN
ejpam-1472	58	18	z	z	PROPN
ejpam-1472	58	19	f	f	PROPN
ejpam-1472	59	1	′i	′i	NOUN
ejpam-1472	59	2	(	(	PUNCT
ejpam-1472	59	3	z	z	NOUN
ejpam-1472	59	4	)	)	PUNCT
ejpam-1472	59	5	fi(z	fi(z	NOUN
ejpam-1472	59	6	)	)	PUNCT
ejpam-1472	59	7	�	�	PROPN
ejpam-1472	59	8	�	�	PROPN
ejpam-1472	59	9	�	�	PROPN
ejpam-1472	59	10	�	�	PROPN
ejpam-1472	59	11	�	�	PROPN
ejpam-1472	59	12	+	+	CCONJ
ejpam-1472	59	13	n	n	CCONJ
ejpam-1472	59	14	∑	∑	ADP
ejpam-1472	59	15	i=1	i=1	PROPN
ejpam-1472	59	16	ηi	ηi	PROPN
ejpam-1472	59	17	�	�	PROPN
ejpam-1472	59	18	�	�	PROPN
ejpam-1472	59	19	�	�	PROPN
ejpam-1472	59	20	�	�	PROPN
ejpam-1472	59	21	�	�	PROPN
ejpam-1472	59	22	zg	zg	PROPN
ejpam-1472	59	23	′′i	′′i	NOUN
ejpam-1472	59	24	(	(	PUNCT
ejpam-1472	59	25	z	z	NOUN
ejpam-1472	59	26	)	)	PUNCT
ejpam-1472	59	27	g	g	PROPN
ejpam-1472	59	28	′i(z	′i(z	PROPN
ejpam-1472	59	29	)	)	PUNCT
ejpam-1472	59	30	�	�	PROPN
ejpam-1472	59	31	�	�	PROPN
ejpam-1472	59	32	�	�	PROPN
ejpam-1472	59	33	�	�	PROPN
ejpam-1472	59	34	�	�	PROPN
ejpam-1472	59	35	+	+	CCONJ
ejpam-1472	59	36	1	1	X
ejpam-1472	59	37	.	.	PUNCT
ejpam-1472	59	38	(	(	PUNCT
ejpam-1472	59	39	4	4	X
ejpam-1472	59	40	)	)	PUNCT
ejpam-1472	59	41	using	use	VERB
ejpam-1472	59	42	that	that	DET
ejpam-1472	59	43	fi	fi	NOUN
ejpam-1472	59	44	∈mt	∈mt	X
ejpam-1472	59	45	(	(	PUNCT
ejpam-1472	59	46	µi	µi	INTJ
ejpam-1472	59	47	,	,	PUNCT
ejpam-1472	59	48	βi	βi	PROPN
ejpam-1472	59	49	)	)	PUNCT
ejpam-1472	59	50	for	for	ADP
ejpam-1472	59	51	all	all	DET
ejpam-1472	59	52	i	i	PRON
ejpam-1472	59	53	=	=	NOUN
ejpam-1472	59	54	1	1	NUM
ejpam-1472	59	55	,	,	PUNCT
ejpam-1472	59	56	2	2	NUM
ejpam-1472	59	57	,	,	PUNCT
ejpam-1472	59	58	.	.	PUNCT
ejpam-1472	59	59	.	.	PUNCT
ejpam-1472	60	1	.	.	PUNCT
ejpam-1472	61	1	,	,	PUNCT
ejpam-1472	61	2	n	n	CCONJ
ejpam-1472	61	3	in	in	ADP
ejpam-1472	61	4	relation	relation	NOUN
ejpam-1472	61	5	(	(	PUNCT
ejpam-1472	61	6	4	4	NUM
ejpam-1472	61	7	)	)	PUNCT
ejpam-1472	61	8	,	,	PUNCT
ejpam-1472	61	9	we	we	PRON
ejpam-1472	61	10	obtain	obtain	VERB
ejpam-1472	61	11	re	re	ADP
ejpam-1472	61	12	�	�	PROPN
ejpam-1472	61	13	zg′′n	zg′′n	X
ejpam-1472	61	14	(	(	PUNCT
ejpam-1472	61	15	z	z	NOUN
ejpam-1472	61	16	)	)	PUNCT
ejpam-1472	61	17	g′n(z	g′n(z	NOUN
ejpam-1472	61	18	)	)	PUNCT
ejpam-1472	62	1	+	+	CCONJ
ejpam-1472	62	2	1	1	NUM
ejpam-1472	62	3	�	�	PROPN
ejpam-1472	62	4	≤	≤	PROPN
ejpam-1472	62	5	n	n	CCONJ
ejpam-1472	62	6	∑	∑	PROPN
ejpam-1472	62	7	i=1	i=1	PROPN
ejpam-1472	62	8	(	(	PUNCT
ejpam-1472	62	9	γi	γi	INTJ
ejpam-1472	62	10	−	−	ADP
ejpam-1472	62	11	1	1	NUM
ejpam-1472	62	12	)	)	PUNCT
ejpam-1472	62	13	�	�	PROPN
ejpam-1472	62	14	�	�	PROPN
ejpam-1472	62	15	�	�	PROPN
ejpam-1472	62	16	�	�	PROPN
ejpam-1472	62	17	�	�	PROPN
ejpam-1472	62	18	z	z	PROPN
ejpam-1472	62	19	f	f	PROPN
ejpam-1472	63	1	′i	′i	NOUN
ejpam-1472	63	2	(	(	PUNCT
ejpam-1472	63	3	z	z	NOUN
ejpam-1472	63	4	)	)	PUNCT
ejpam-1472	63	5	fi(z	fi(z	PROPN
ejpam-1472	63	6	)	)	PUNCT
ejpam-1472	63	7	−	−	PROPN
ejpam-1472	63	8	1	1	NUM
ejpam-1472	63	9	�	�	PROPN
ejpam-1472	63	10	�	�	PROPN
ejpam-1472	63	11	�	�	PROPN
ejpam-1472	63	12	�	�	PROPN
ejpam-1472	63	13	�	�	PROPN
ejpam-1472	63	14	+	+	CCONJ
ejpam-1472	63	15	1	1	NUM
ejpam-1472	63	16	!	!	PUNCT
ejpam-1472	64	1	+	+	CCONJ
ejpam-1472	64	2	n	n	CCONJ
ejpam-1472	64	3	∑	∑	ADP
ejpam-1472	64	4	i=1	i=1	PROPN
ejpam-1472	64	5	ηi	ηi	PROPN
ejpam-1472	64	6	�	�	PROPN
ejpam-1472	64	7	�	�	PROPN
ejpam-1472	64	8	�	�	PROPN
ejpam-1472	64	9	�	�	PROPN
ejpam-1472	64	10	�	�	PROPN
ejpam-1472	64	11	zg	zg	PROPN
ejpam-1472	64	12	′′i	′′i	NOUN
ejpam-1472	64	13	(	(	PUNCT
ejpam-1472	64	14	z	z	NOUN
ejpam-1472	64	15	)	)	PUNCT
ejpam-1472	64	16	g	g	PROPN
ejpam-1472	64	17	′i(z	′i(z	PROPN
ejpam-1472	64	18	)	)	PUNCT
ejpam-1472	64	19	�	�	PROPN
ejpam-1472	64	20	�	�	PROPN
ejpam-1472	64	21	�	�	PROPN
ejpam-1472	64	22	�	�	PROPN
ejpam-1472	64	23	�	�	PROPN
ejpam-1472	64	24	+	+	CCONJ
ejpam-1472	64	25	1	1	NUM
ejpam-1472	64	26	<	<	X
ejpam-1472	64	27	n	n	PROPN
ejpam-1472	64	28	∑	∑	PROPN
ejpam-1472	64	29	i=1	i=1	PROPN
ejpam-1472	64	30	(	(	PUNCT
ejpam-1472	64	31	γi	γi	INTJ
ejpam-1472	64	32	−	−	PROPN
ejpam-1472	64	33	1)βi	1)βi	PROPN
ejpam-1472	64	34	�	�	PROPN
ejpam-1472	64	35	�	�	PROPN
ejpam-1472	64	36	�	�	PROPN
ejpam-1472	64	37	�	�	PROPN
ejpam-1472	64	38	�	�	PROPN
ejpam-1472	65	1	µi	µi	PROPN
ejpam-1472	65	2	z	z	PROPN
ejpam-1472	65	3	f	f	PROPN
ejpam-1472	65	4	′i	′i	NOUN
ejpam-1472	65	5	(	(	PUNCT
ejpam-1472	65	6	z	z	NOUN
ejpam-1472	65	7	)	)	PUNCT
ejpam-1472	65	8	fi(z	fi(z	PROPN
ejpam-1472	65	9	)	)	PUNCT
ejpam-1472	66	1	+	+	CCONJ
ejpam-1472	66	2	1	1	NUM
ejpam-1472	66	3	�	�	PROPN
ejpam-1472	66	4	�	�	PROPN
ejpam-1472	66	5	�	�	PROPN
ejpam-1472	66	6	�	�	PROPN
ejpam-1472	66	7	�	�	PROPN
ejpam-1472	66	8	+	+	CCONJ
ejpam-1472	66	9	n	n	CCONJ
ejpam-1472	66	10	∑	∑	PROPN
ejpam-1472	66	11	i=1	i=1	PROPN
ejpam-1472	66	12	(	(	PUNCT
ejpam-1472	66	13	γi	γi	INTJ
ejpam-1472	66	14	−	−	PROPN
ejpam-1472	66	15	1	1	NUM
ejpam-1472	66	16	)	)	PUNCT
ejpam-1472	66	17	+	+	CCONJ
ejpam-1472	67	1	n	n	CCONJ
ejpam-1472	67	2	∑	∑	ADP
ejpam-1472	67	3	i=1	i=1	PROPN
ejpam-1472	67	4	ηi	ηi	PROPN
ejpam-1472	67	5	�	�	PROPN
ejpam-1472	67	6	�	�	PROPN
ejpam-1472	67	7	�	�	PROPN
ejpam-1472	67	8	�	�	PROPN
ejpam-1472	67	9	�	�	PROPN
ejpam-1472	67	10	zg	zg	PROPN
ejpam-1472	67	11	′′i	′′i	NOUN
ejpam-1472	67	12	(	(	PUNCT
ejpam-1472	67	13	z	z	NOUN
ejpam-1472	67	14	)	)	PUNCT
ejpam-1472	67	15	g	g	PROPN
ejpam-1472	67	16	′i(z	′i(z	PROPN
ejpam-1472	67	17	)	)	PUNCT
ejpam-1472	67	18	�	�	PROPN
ejpam-1472	67	19	�	�	PROPN
ejpam-1472	67	20	�	�	PROPN
ejpam-1472	67	21	�	�	PROPN
ejpam-1472	67	22	�	�	PROPN
ejpam-1472	67	23	+	+	CCONJ
ejpam-1472	67	24	1	1	NUM
ejpam-1472	67	25	v.	v.	ADP
ejpam-1472	67	26	macarie	macarie	NOUN
ejpam-1472	67	27	,	,	PUNCT
ejpam-1472	67	28	d.	d.	PROPN
ejpam-1472	67	29	breaz	breaz	PROPN
ejpam-1472	67	30	/	/	SYM
ejpam-1472	67	31	eur	eur	PROPN
ejpam-1472	67	32	.	.	PUNCT
ejpam-1472	68	1	j.	j.	PROPN
ejpam-1472	68	2	pure	pure	PROPN
ejpam-1472	68	3	appl	appl	PROPN
ejpam-1472	68	4	.	.	PROPN
ejpam-1472	68	5	math	math	PROPN
ejpam-1472	68	6	,	,	PUNCT
ejpam-1472	68	7	6	6	NUM
ejpam-1472	68	8	(	(	PUNCT
ejpam-1472	68	9	2013	2013	NUM
ejpam-1472	68	10	)	)	PUNCT
ejpam-1472	68	11	,	,	PUNCT
ejpam-1472	68	12	307	307	NUM
ejpam-1472	68	13	-	-	SYM
ejpam-1472	68	14	314	314	NUM
ejpam-1472	68	15	310	310	NUM
ejpam-1472	68	16	and	and	CCONJ
ejpam-1472	68	17	using	use	VERB
ejpam-1472	68	18	the	the	DET
ejpam-1472	68	19	hypothesis	hypothesis	NOUN
ejpam-1472	68	20	(	(	PUNCT
ejpam-1472	68	21	2	2	NUM
ejpam-1472	68	22	)	)	PUNCT
ejpam-1472	68	23	and	and	CCONJ
ejpam-1472	68	24	(	(	PUNCT
ejpam-1472	68	25	3	3	X
ejpam-1472	68	26	)	)	PUNCT
ejpam-1472	68	27	in	in	ADP
ejpam-1472	68	28	this	this	DET
ejpam-1472	68	29	last	last	ADJ
ejpam-1472	68	30	relation	relation	NOUN
ejpam-1472	68	31	we	we	PRON
ejpam-1472	68	32	have	have	VERB
ejpam-1472	68	33	re	re	VERB
ejpam-1472	68	34	�	�	PROPN
ejpam-1472	68	35	zg′′n	zg′′n	X
ejpam-1472	68	36	(	(	PUNCT
ejpam-1472	68	37	z	z	NOUN
ejpam-1472	68	38	)	)	PUNCT
ejpam-1472	68	39	g′n(z	g′n(z	NOUN
ejpam-1472	68	40	)	)	PUNCT
ejpam-1472	69	1	+	+	CCONJ
ejpam-1472	69	2	1	1	NUM
ejpam-1472	69	3	�	�	PROPN
ejpam-1472	69	4	<	<	X
ejpam-1472	69	5	n	n	PROPN
ejpam-1472	69	6	∑	∑	PROPN
ejpam-1472	69	7	i=1	i=1	PROPN
ejpam-1472	69	8	�	�	PROPN
ejpam-1472	69	9	(	(	PUNCT
ejpam-1472	69	10	γi	γi	INTJ
ejpam-1472	69	11	−	−	PROPN
ejpam-1472	69	12	1)(βiµi	1)(βiµi	PROPN
ejpam-1472	69	13	mi	mi	PROPN
ejpam-1472	70	1	+	+	CCONJ
ejpam-1472	70	2	βi	βi	PROPN
ejpam-1472	71	1	+	+	NUM
ejpam-1472	71	2	1	1	X
ejpam-1472	71	3	)	)	PUNCT
ejpam-1472	71	4	+	+	NOUN
ejpam-1472	71	5	ηini	ηini	NOUN
ejpam-1472	71	6	�	�	NOUN
ejpam-1472	71	7	+	+	CCONJ
ejpam-1472	71	8	1=	1=	NUM
ejpam-1472	71	9	ρ	ρ	NOUN
ejpam-1472	71	10	this	this	PRON
ejpam-1472	71	11	completes	complete	VERB
ejpam-1472	71	12	the	the	DET
ejpam-1472	71	13	proof	proof	NOUN
ejpam-1472	71	14	of	of	ADP
ejpam-1472	71	15	our	our	PRON
ejpam-1472	71	16	theorem	theorem	NOUN
ejpam-1472	71	17	.	.	PUNCT
ejpam-1472	71	18	letting	let	VERB
ejpam-1472	71	19	n	n	NOUN
ejpam-1472	71	20	=	=	SYM
ejpam-1472	71	21	1	1	NUM
ejpam-1472	71	22	,	,	PUNCT
ejpam-1472	71	23	γ1	γ1	NOUN
ejpam-1472	71	24	=	=	SYM
ejpam-1472	71	25	γ	γ	X
ejpam-1472	71	26	,	,	PUNCT
ejpam-1472	71	27	η1	η1	NOUN
ejpam-1472	71	28	=	=	SYM
ejpam-1472	71	29	η	η	PROPN
ejpam-1472	71	30	,	,	PUNCT
ejpam-1472	71	31	m1	m1	PROPN
ejpam-1472	71	32	=	=	SYM
ejpam-1472	71	33	m	m	PROPN
ejpam-1472	71	34	,	,	PUNCT
ejpam-1472	71	35	n1	n1	PROPN
ejpam-1472	71	36	=	=	SYM
ejpam-1472	71	37	n	n	CCONJ
ejpam-1472	71	38	,	,	PUNCT
ejpam-1472	71	39	µ1	µ1	PROPN
ejpam-1472	71	40	=	=	SYM
ejpam-1472	71	41	µ	µ	NOUN
ejpam-1472	71	42	,	,	PUNCT
ejpam-1472	71	43	β1	β1	PROPN
ejpam-1472	71	44	=	=	PUNCT
ejpam-1472	71	45	β	β	X
ejpam-1472	71	46	,	,	PUNCT
ejpam-1472	71	47	f1	f1	NOUN
ejpam-1472	71	48	=	=	SYM
ejpam-1472	71	49	f	f	PROPN
ejpam-1472	71	50	and	and	CCONJ
ejpam-1472	71	51	g1	g1	PROPN
ejpam-1472	71	52	=	=	PUNCT
ejpam-1472	71	53	g	g	PROPN
ejpam-1472	71	54	in	in	ADP
ejpam-1472	71	55	theorem	theorem	NOUN
ejpam-1472	71	56	1	1	NUM
ejpam-1472	71	57	,	,	PUNCT
ejpam-1472	71	58	we	we	PRON
ejpam-1472	71	59	have	have	VERB
ejpam-1472	71	60	corollary	corollary	ADJ
ejpam-1472	71	61	1	1	NUM
ejpam-1472	71	62	.	.	PUNCT
ejpam-1472	72	1	let	let	VERB
ejpam-1472	72	2	γ	γ	PROPN
ejpam-1472	72	3	∈	∈	PROPN
ejpam-1472	72	4	r	r	NOUN
ejpam-1472	72	5	,	,	PUNCT
ejpam-1472	72	6	γ	γ	X
ejpam-1472	72	7	>	>	X
ejpam-1472	72	8	1	1	NUM
ejpam-1472	72	9	,	,	PUNCT
ejpam-1472	72	10	η	η	PROPN
ejpam-1472	72	11	∈	∈	PROPN
ejpam-1472	72	12	r	r	PROPN
ejpam-1472	72	13	,	,	PUNCT
ejpam-1472	72	14	η	η	PROPN
ejpam-1472	72	15	>	>	X
ejpam-1472	72	16	0	0	PROPN
ejpam-1472	72	17	,	,	PUNCT
ejpam-1472	72	18	the	the	DET
ejpam-1472	72	19	functions	function	NOUN
ejpam-1472	72	20	f	f	PROPN
ejpam-1472	72	21	∈	∈	PROPN
ejpam-1472	72	22	mt	mt	PROPN
ejpam-1472	72	23	(	(	PUNCT
ejpam-1472	72	24	µ,β	µ,β	PROPN
ejpam-1472	72	25	)	)	PUNCT
ejpam-1472	72	26	,	,	PUNCT
ejpam-1472	72	27	0	0	PUNCT
ejpam-1472	72	28	<	<	X
ejpam-1472	72	29	β	β	X
ejpam-1472	72	30	≤	≤	NUM
ejpam-1472	72	31	1	1	NUM
ejpam-1472	72	32	,	,	PUNCT
ejpam-1472	72	33	0≤	0≤	NUM
ejpam-1472	72	34	µ	µ	X
ejpam-1472	72	35	<	<	X
ejpam-1472	72	36	1	1	NUM
ejpam-1472	72	37	and	and	CCONJ
ejpam-1472	72	38	g	g	NOUN
ejpam-1472	72	39	∈a	∈a	ADJ
ejpam-1472	72	40	satisfying	satisfy	VERB
ejpam-1472	72	41	the	the	DET
ejpam-1472	72	42	conditions	condition	NOUN
ejpam-1472	72	43	�	�	PROPN
ejpam-1472	72	44	�	�	PROPN
ejpam-1472	72	45	�	�	PROPN
ejpam-1472	72	46	�	�	PROPN
ejpam-1472	72	47	f	f	PROPN
ejpam-1472	72	48	′(z	′(z	NOUN
ejpam-1472	72	49	)	)	PUNCT
ejpam-1472	72	50	f	f	PROPN
ejpam-1472	72	51	(	(	PUNCT
ejpam-1472	72	52	z	z	NOUN
ejpam-1472	72	53	)	)	PUNCT
ejpam-1472	72	54	�	�	PROPN
ejpam-1472	72	55	�	�	PROPN
ejpam-1472	72	56	�	�	PROPN
ejpam-1472	72	57	�	�	PROPN
ejpam-1472	72	58	<	<	X
ejpam-1472	72	59	m	m	PROPN
ejpam-1472	72	60	,	,	PUNCT
ejpam-1472	72	61	(	(	PUNCT
ejpam-1472	72	62	m	m	NOUN
ejpam-1472	72	63	≥	≥	NOUN
ejpam-1472	72	64	1	1	NUM
ejpam-1472	72	65	)	)	PUNCT
ejpam-1472	72	66	and	and	CCONJ
ejpam-1472	72	67	�	�	PROPN
ejpam-1472	72	68	�	�	PROPN
ejpam-1472	72	69	�	�	PROPN
ejpam-1472	72	70	�	�	PROPN
ejpam-1472	72	71	g	g	PROPN
ejpam-1472	72	72	′′(z	′′(z	PROPN
ejpam-1472	72	73	)	)	PUNCT
ejpam-1472	72	74	g	g	NOUN
ejpam-1472	72	75	′(z	′(z	NOUN
ejpam-1472	72	76	)	)	PUNCT
ejpam-1472	72	77	�	�	PROPN
ejpam-1472	72	78	�	�	PROPN
ejpam-1472	72	79	�	�	PROPN
ejpam-1472	72	80	�	�	PROPN
ejpam-1472	72	81	<	<	X
ejpam-1472	72	82	n	n	PROPN
ejpam-1472	72	83	,	,	PUNCT
ejpam-1472	72	84	(	(	PUNCT
ejpam-1472	72	85	n	n	CCONJ
ejpam-1472	72	86	≥	≥	NOUN
ejpam-1472	72	87	1	1	NUM
ejpam-1472	72	88	)	)	PUNCT
ejpam-1472	72	89	.	.	PUNCT
ejpam-1472	73	1	then	then	ADV
ejpam-1472	73	2	the	the	DET
ejpam-1472	73	3	integral	integral	ADJ
ejpam-1472	73	4	operator	operator	NOUN
ejpam-1472	73	5	g1(z	g1(z	PROPN
ejpam-1472	73	6	)	)	PUNCT
ejpam-1472	73	7	=	=	SYM
ejpam-1472	73	8	∫	∫	PROPN
ejpam-1472	73	9	z	z	PROPN
ejpam-1472	73	10	0	0	NUM
ejpam-1472	73	11	�	�	PROPN
ejpam-1472	73	12	f	f	PROPN
ejpam-1472	73	13	(	(	PUNCT
ejpam-1472	73	14	t	t	PROPN
ejpam-1472	73	15	)	)	PUNCT
ejpam-1472	73	16	�	�	PROPN
ejpam-1472	73	17	γ−1	γ−1	PROPN
ejpam-1472	73	18	(	(	PUNCT
ejpam-1472	73	19	g	g	NOUN
ejpam-1472	73	20	′(t))ηdt	′(t))ηdt	PROPN
ejpam-1472	73	21	is	be	AUX
ejpam-1472	73	22	in	in	ADP
ejpam-1472	73	23	n	n	PROPN
ejpam-1472	73	24	(	(	PUNCT
ejpam-1472	73	25	ρ	ρ	PROPN
ejpam-1472	73	26	)	)	PUNCT
ejpam-1472	73	27	,	,	PUNCT
ejpam-1472	73	28	where	where	SCONJ
ejpam-1472	73	29	ρ	ρ	NOUN
ejpam-1472	73	30	=	=	PUNCT
ejpam-1472	73	31	(	(	PUNCT
ejpam-1472	73	32	γ−	γ−	NUM
ejpam-1472	73	33	1)(βµm	1)(βµm	PROPN
ejpam-1472	73	34	+	+	CCONJ
ejpam-1472	73	35	β	β	X
ejpam-1472	73	36	+	+	NOUN
ejpam-1472	73	37	1	1	X
ejpam-1472	73	38	)	)	PUNCT
ejpam-1472	73	39	+	+	VERB
ejpam-1472	73	40	ηn	ηn	ADJ
ejpam-1472	73	41	+	+	ADJ
ejpam-1472	73	42	1	1	X
ejpam-1472	73	43	.	.	X
ejpam-1472	73	44	letting	let	VERB
ejpam-1472	73	45	γ=	γ=	PROPN
ejpam-1472	73	46	2	2	NUM
ejpam-1472	73	47	,	,	PUNCT
ejpam-1472	73	48	η=	η=	NOUN
ejpam-1472	73	49	1	1	NUM
ejpam-1472	73	50	in	in	ADP
ejpam-1472	73	51	corollary	corollary	ADJ
ejpam-1472	73	52	1	1	NUM
ejpam-1472	73	53	,	,	PUNCT
ejpam-1472	73	54	we	we	PRON
ejpam-1472	73	55	have	have	VERB
ejpam-1472	73	56	corollary	corollary	ADJ
ejpam-1472	73	57	2	2	NUM
ejpam-1472	73	58	.	.	PUNCT
ejpam-1472	74	1	let	let	VERB
ejpam-1472	74	2	f	f	PRON
ejpam-1472	74	3	∈mt	∈mt	VERB
ejpam-1472	74	4	(	(	PUNCT
ejpam-1472	74	5	µ,β	µ,β	ADJ
ejpam-1472	74	6	)	)	PUNCT
ejpam-1472	74	7	,	,	PUNCT
ejpam-1472	74	8	0	0	NUM
ejpam-1472	74	9	<	<	X
ejpam-1472	74	10	β	β	X
ejpam-1472	74	11	≤	≤	NUM
ejpam-1472	74	12	1	1	NUM
ejpam-1472	74	13	,	,	PUNCT
ejpam-1472	74	14	0≤	0≤	NUM
ejpam-1472	74	15	µ	µ	X
ejpam-1472	74	16	<	<	X
ejpam-1472	74	17	1	1	NUM
ejpam-1472	74	18	and	and	CCONJ
ejpam-1472	74	19	g	g	NOUN
ejpam-1472	74	20	∈a	∈a	ADJ
ejpam-1472	74	21	satisfying	satisfy	VERB
ejpam-1472	74	22	the	the	DET
ejpam-1472	74	23	conditions	condition	NOUN
ejpam-1472	74	24	�	�	PROPN
ejpam-1472	74	25	�	�	PROPN
ejpam-1472	74	26	�	�	PROPN
ejpam-1472	74	27	�	�	PROPN
ejpam-1472	74	28	f	f	PROPN
ejpam-1472	74	29	′(z	′(z	NOUN
ejpam-1472	74	30	)	)	PUNCT
ejpam-1472	74	31	f	f	PROPN
ejpam-1472	74	32	(	(	PUNCT
ejpam-1472	74	33	z	z	NOUN
ejpam-1472	74	34	)	)	PUNCT
ejpam-1472	74	35	�	�	PROPN
ejpam-1472	74	36	�	�	PROPN
ejpam-1472	74	37	�	�	PROPN
ejpam-1472	74	38	�	�	PROPN
ejpam-1472	74	39	<	<	X
ejpam-1472	74	40	m	m	PROPN
ejpam-1472	74	41	,	,	PUNCT
ejpam-1472	74	42	(	(	PUNCT
ejpam-1472	74	43	m	m	NOUN
ejpam-1472	74	44	≥	≥	NOUN
ejpam-1472	74	45	1	1	NUM
ejpam-1472	74	46	)	)	PUNCT
ejpam-1472	74	47	and	and	CCONJ
ejpam-1472	74	48	�	�	PROPN
ejpam-1472	74	49	�	�	PROPN
ejpam-1472	74	50	�	�	PROPN
ejpam-1472	74	51	�	�	PROPN
ejpam-1472	74	52	g	g	PROPN
ejpam-1472	74	53	′′(z	′′(z	PROPN
ejpam-1472	74	54	)	)	PUNCT
ejpam-1472	74	55	g	g	NOUN
ejpam-1472	74	56	′(z	′(z	NOUN
ejpam-1472	74	57	)	)	PUNCT
ejpam-1472	74	58	�	�	PROPN
ejpam-1472	74	59	�	�	PROPN
ejpam-1472	74	60	�	�	PROPN
ejpam-1472	74	61	�	�	PROPN
ejpam-1472	74	62	<	<	X
ejpam-1472	74	63	n	n	PROPN
ejpam-1472	74	64	,	,	PUNCT
ejpam-1472	74	65	(	(	PUNCT
ejpam-1472	74	66	n	n	CCONJ
ejpam-1472	74	67	≥	≥	NOUN
ejpam-1472	74	68	1	1	NUM
ejpam-1472	74	69	)	)	PUNCT
ejpam-1472	74	70	.	.	PUNCT
ejpam-1472	75	1	then	then	ADV
ejpam-1472	75	2	the	the	DET
ejpam-1472	75	3	integral	integral	ADJ
ejpam-1472	75	4	operator	operator	NOUN
ejpam-1472	75	5	g(z	g(z	PROPN
ejpam-1472	75	6	)	)	PUNCT
ejpam-1472	75	7	=	=	SYM
ejpam-1472	76	1	∫	∫	PROPN
ejpam-1472	76	2	z	z	NOUN
ejpam-1472	76	3	0	0	NUM
ejpam-1472	77	1	f	f	X
ejpam-1472	77	2	(	(	PUNCT
ejpam-1472	77	3	t)g	t)g	ADJ
ejpam-1472	77	4	′(t)dt	′(t)dt	PROPN
ejpam-1472	77	5	is	be	AUX
ejpam-1472	77	6	in	in	ADP
ejpam-1472	77	7	n	n	PROPN
ejpam-1472	77	8	(	(	PUNCT
ejpam-1472	77	9	ρ	ρ	PROPN
ejpam-1472	77	10	)	)	PUNCT
ejpam-1472	77	11	,	,	PUNCT
ejpam-1472	77	12	where	where	SCONJ
ejpam-1472	77	13	ρ	ρ	NOUN
ejpam-1472	77	14	=	=	PUNCT
ejpam-1472	77	15	β(µm	β(µm	NOUN
ejpam-1472	77	16	+	+	ADP
ejpam-1472	77	17	1	1	X
ejpam-1472	77	18	)	)	PUNCT
ejpam-1472	77	19	+	+	NUM
ejpam-1472	77	20	n	n	PROPN
ejpam-1472	77	21	+	+	CCONJ
ejpam-1472	77	22	2	2	NUM
ejpam-1472	77	23	.	.	X
ejpam-1472	77	24	theorem	theorem	NOUN
ejpam-1472	77	25	2	2	NUM
ejpam-1472	77	26	.	.	PUNCT
ejpam-1472	78	1	let	let	VERB
ejpam-1472	78	2	γi	γi	INTJ
ejpam-1472	78	3	∈	∈	PROPN
ejpam-1472	78	4	r	r	NOUN
ejpam-1472	78	5	,	,	PUNCT
ejpam-1472	78	6	γi	γi	INTJ
ejpam-1472	78	7	>	>	X
ejpam-1472	78	8	1	1	NUM
ejpam-1472	78	9	,	,	PUNCT
ejpam-1472	78	10	ηi	ηi	PROPN
ejpam-1472	78	11	∈	∈	PROPN
ejpam-1472	78	12	r	r	PROPN
ejpam-1472	78	13	,	,	PUNCT
ejpam-1472	78	14	ηi	ηi	X
ejpam-1472	78	15	>	>	X
ejpam-1472	78	16	0	0	PUNCT
ejpam-1472	79	1	for	for	ADP
ejpam-1472	79	2	all	all	DET
ejpam-1472	79	3	i	i	PRON
ejpam-1472	79	4	=	=	NOUN
ejpam-1472	79	5	1	1	NUM
ejpam-1472	79	6	,	,	PUNCT
ejpam-1472	79	7	2	2	NUM
ejpam-1472	79	8	,	,	PUNCT
ejpam-1472	79	9	.	.	PUNCT
ejpam-1472	79	10	.	.	PUNCT
ejpam-1472	79	11	.	.	PUNCT
ejpam-1472	80	1	,	,	PUNCT
ejpam-1472	80	2	n	n	CCONJ
ejpam-1472	80	3	,	,	PUNCT
ejpam-1472	80	4	the	the	DET
ejpam-1472	80	5	functions	function	NOUN
ejpam-1472	80	6	fi	fi	NOUN
ejpam-1472	80	7	∈	∈	PROPN
ejpam-1472	80	8	b(µi	b(µi	PROPN
ejpam-1472	80	9	,	,	PUNCT
ejpam-1472	80	10	αi	αi	NOUN
ejpam-1472	80	11	)	)	PUNCT
ejpam-1472	80	12	,	,	PUNCT
ejpam-1472	80	13	µi	µi	ADP
ejpam-1472	80	14	≥	≥	NUM
ejpam-1472	80	15	0	0	NUM
ejpam-1472	80	16	,	,	PUNCT
ejpam-1472	80	17	0	0	NUM
ejpam-1472	80	18	≤	≤	NUM
ejpam-1472	80	19	αi	αi	VERB
ejpam-1472	80	20	<	<	X
ejpam-1472	80	21	1	1	NUM
ejpam-1472	80	22	satisfying	satisfy	VERB
ejpam-1472	80	23	the	the	DET
ejpam-1472	80	24	conditions	condition	NOUN
ejpam-1472	80	25	|	|	ADV
ejpam-1472	80	26	fi(z)|	fi(z)|	VERB
ejpam-1472	80	27	≤	≤	PROPN
ejpam-1472	80	28	mi	mi	PROPN
ejpam-1472	80	29	,	,	PUNCT
ejpam-1472	80	30	(	(	PUNCT
ejpam-1472	80	31	mi	mi	X
ejpam-1472	80	32	≥	≥	PROPN
ejpam-1472	80	33	1	1	NUM
ejpam-1472	80	34	)	)	PUNCT
ejpam-1472	80	35	and	and	CCONJ
ejpam-1472	80	36	gi	gi	ADP
ejpam-1472	80	37	∈	∈	PROPN
ejpam-1472	80	38	n	n	CCONJ
ejpam-1472	80	39	(	(	PUNCT
ejpam-1472	80	40	ρi	ρi	NOUN
ejpam-1472	80	41	)	)	PUNCT
ejpam-1472	80	42	,	,	PUNCT
ejpam-1472	80	43	ρi	ρi	X
ejpam-1472	80	44	>	>	X
ejpam-1472	80	45	1	1	NUM
ejpam-1472	80	46	for	for	ADP
ejpam-1472	80	47	all	all	DET
ejpam-1472	80	48	i	i	PRON
ejpam-1472	80	49	=	=	NOUN
ejpam-1472	80	50	1	1	NUM
ejpam-1472	80	51	,	,	PUNCT
ejpam-1472	80	52	2	2	NUM
ejpam-1472	80	53	,	,	PUNCT
ejpam-1472	80	54	.	.	PUNCT
ejpam-1472	80	55	.	.	PUNCT
ejpam-1472	81	1	.	.	PUNCT
ejpam-1472	82	1	,	,	PUNCT
ejpam-1472	82	2	n.	n.	NOUN
ejpam-1472	82	3	if	if	SCONJ
ejpam-1472	82	4	n	n	PROPN
ejpam-1472	82	5	∑	∑	PROPN
ejpam-1472	82	6	i=1	i=1	PROPN
ejpam-1472	82	7	h	h	PROPN
ejpam-1472	82	8	(	(	PUNCT
ejpam-1472	82	9	γi	γi	INTJ
ejpam-1472	82	10	−	−	PROPN
ejpam-1472	82	11	1)(2−αi)m	1)(2−αi)m	PROPN
ejpam-1472	83	1	µi−1	µi−1	PROPN
ejpam-1472	83	2	i	i	PROPN
ejpam-1472	83	3	+	+	PROPN
ejpam-1472	83	4	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	83	5	−	−	ADP
ejpam-1472	83	6	1	1	NUM
ejpam-1472	83	7	)	)	PUNCT
ejpam-1472	83	8	i	i	PRON
ejpam-1472	83	9	<	<	X
ejpam-1472	83	10	1	1	NUM
ejpam-1472	83	11	,	,	PUNCT
ejpam-1472	83	12	then	then	ADV
ejpam-1472	83	13	the	the	DET
ejpam-1472	83	14	integral	integral	ADJ
ejpam-1472	83	15	operator	operator	NOUN
ejpam-1472	83	16	gn	gn	PROPN
ejpam-1472	83	17	defined	define	VERB
ejpam-1472	83	18	in	in	ADP
ejpam-1472	83	19	(	(	PUNCT
ejpam-1472	83	20	1	1	NUM
ejpam-1472	83	21	)	)	PUNCT
ejpam-1472	83	22	is	be	AUX
ejpam-1472	83	23	in	in	ADP
ejpam-1472	83	24	k(δ	k(δ	PROPN
ejpam-1472	83	25	)	)	PUNCT
ejpam-1472	83	26	,	,	PUNCT
ejpam-1472	83	27	where	where	SCONJ
ejpam-1472	83	28	δ	δ	PROPN
ejpam-1472	83	29	=	=	SYM
ejpam-1472	83	30	1−	1−	NUM
ejpam-1472	83	31	n	n	CCONJ
ejpam-1472	83	32	∑	∑	PROPN
ejpam-1472	83	33	i=1	i=1	PROPN
ejpam-1472	83	34	h	h	PROPN
ejpam-1472	83	35	(	(	PUNCT
ejpam-1472	83	36	γi	γi	INTJ
ejpam-1472	83	37	−	−	PROPN
ejpam-1472	83	38	1)(2−αi)m	1)(2−αi)m	PROPN
ejpam-1472	83	39	µi−1	µi−1	PROPN
ejpam-1472	83	40	i	i	PROPN
ejpam-1472	83	41	+	+	PROPN
ejpam-1472	83	42	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	83	43	−	−	ADP
ejpam-1472	83	44	1	1	NUM
ejpam-1472	83	45	)	)	PUNCT
ejpam-1472	83	46	i	i	PRON
ejpam-1472	83	47	.	.	PUNCT
ejpam-1472	84	1	v.	v.	CCONJ
ejpam-1472	84	2	macarie	macarie	NOUN
ejpam-1472	84	3	,	,	PUNCT
ejpam-1472	84	4	d.	d.	PROPN
ejpam-1472	84	5	breaz	breaz	PROPN
ejpam-1472	84	6	/	/	SYM
ejpam-1472	84	7	eur	eur	PROPN
ejpam-1472	84	8	.	.	PUNCT
ejpam-1472	85	1	j.	j.	PROPN
ejpam-1472	85	2	pure	pure	PROPN
ejpam-1472	85	3	appl	appl	PROPN
ejpam-1472	85	4	.	.	PROPN
ejpam-1472	85	5	math	math	PROPN
ejpam-1472	85	6	,	,	PUNCT
ejpam-1472	85	7	6	6	NUM
ejpam-1472	85	8	(	(	PUNCT
ejpam-1472	85	9	2013	2013	NUM
ejpam-1472	85	10	)	)	PUNCT
ejpam-1472	85	11	,	,	PUNCT
ejpam-1472	85	12	307	307	NUM
ejpam-1472	85	13	-	-	SYM
ejpam-1472	85	14	314	314	NUM
ejpam-1472	85	15	311	311	NUM
ejpam-1472	85	16	proof	proof	NOUN
ejpam-1472	85	17	.	.	PUNCT
ejpam-1472	86	1	from	from	ADP
ejpam-1472	86	2	(	(	PUNCT
ejpam-1472	86	3	1	1	NUM
ejpam-1472	86	4	)	)	PUNCT
ejpam-1472	86	5	,	,	PUNCT
ejpam-1472	86	6	we	we	PRON
ejpam-1472	86	7	have	have	VERB
ejpam-1472	86	8	g′n(z	g′n(z	NOUN
ejpam-1472	86	9	)	)	PUNCT
ejpam-1472	87	1	=	=	SYM
ejpam-1472	87	2	n	n	CCONJ
ejpam-1472	87	3	∏	∏	PROPN
ejpam-1472	87	4	i=1	i=1	PROPN
ejpam-1472	87	5	�	�	PROPN
ejpam-1472	87	6	fi(z	fi(z	PART
ejpam-1472	87	7	)	)	PUNCT
ejpam-1472	87	8	�	�	PROPN
ejpam-1472	87	9	γi−1	γi−1	NOUN
ejpam-1472	87	10	(	(	PUNCT
ejpam-1472	87	11	g	g	PROPN
ejpam-1472	87	12	′i(z	′i(z	PROPN
ejpam-1472	87	13	)	)	PUNCT
ejpam-1472	87	14	)	)	PUNCT
ejpam-1472	87	15	ηi	ηi	NOUN
ejpam-1472	87	16	and	and	CCONJ
ejpam-1472	87	17	zg′′n	zg′′n	PROPN
ejpam-1472	87	18	(	(	PUNCT
ejpam-1472	87	19	z	z	NOUN
ejpam-1472	87	20	)	)	PUNCT
ejpam-1472	87	21	g′n(z	g′n(z	NOUN
ejpam-1472	87	22	)	)	PUNCT
ejpam-1472	87	23	=	=	SYM
ejpam-1472	88	1	n	n	PROPN
ejpam-1472	88	2	∑	∑	PROPN
ejpam-1472	88	3	i=1	i=1	PROPN
ejpam-1472	88	4	(	(	PUNCT
ejpam-1472	88	5	γi	γi	INTJ
ejpam-1472	88	6	−	−	PROPN
ejpam-1472	88	7	1	1	NUM
ejpam-1472	88	8	)	)	PUNCT
ejpam-1472	88	9	z	z	NOUN
ejpam-1472	88	10	f	f	NOUN
ejpam-1472	89	1	′i	′i	NOUN
ejpam-1472	89	2	(	(	PUNCT
ejpam-1472	89	3	z	z	NOUN
ejpam-1472	89	4	)	)	PUNCT
ejpam-1472	89	5	fi(z	fi(z	PROPN
ejpam-1472	89	6	)	)	PUNCT
ejpam-1472	90	1	+	+	CCONJ
ejpam-1472	90	2	n	n	CCONJ
ejpam-1472	90	3	∑	∑	ADP
ejpam-1472	90	4	i=1	i=1	PROPN
ejpam-1472	90	5	ηi	ηi	PROPN
ejpam-1472	90	6	zg	zg	PROPN
ejpam-1472	90	7	′′i	′′i	PROPN
ejpam-1472	90	8	(	(	PUNCT
ejpam-1472	90	9	z	z	NOUN
ejpam-1472	90	10	)	)	PUNCT
ejpam-1472	90	11	g	g	PROPN
ejpam-1472	90	12	′i(z	′i(z	PROPN
ejpam-1472	90	13	)	)	PUNCT
ejpam-1472	90	14	.	.	PUNCT
ejpam-1472	91	1	hence	hence	ADV
ejpam-1472	91	2	�	�	PROPN
ejpam-1472	91	3	�	�	PROPN
ejpam-1472	91	4	�	�	PROPN
ejpam-1472	91	5	�	�	PROPN
ejpam-1472	91	6	zg′′n	zg′′n	PROPN
ejpam-1472	91	7	(	(	PUNCT
ejpam-1472	91	8	z	z	NOUN
ejpam-1472	91	9	)	)	PUNCT
ejpam-1472	91	10	g′n(z	g′n(z	PROPN
ejpam-1472	91	11	)	)	PUNCT
ejpam-1472	91	12	�	�	PROPN
ejpam-1472	91	13	�	�	PROPN
ejpam-1472	91	14	�	�	PROPN
ejpam-1472	91	15	�	�	PROPN
ejpam-1472	91	16	≤	≤	PROPN
ejpam-1472	91	17	n	n	CCONJ
ejpam-1472	91	18	∑	∑	PROPN
ejpam-1472	91	19	i=1	i=1	PROPN
ejpam-1472	91	20	(	(	PUNCT
ejpam-1472	91	21	γi	γi	INTJ
ejpam-1472	91	22	−	−	ADP
ejpam-1472	91	23	1	1	NUM
ejpam-1472	91	24	)	)	PUNCT
ejpam-1472	91	25	�	�	PROPN
ejpam-1472	91	26	�	�	PROPN
ejpam-1472	91	27	�	�	PROPN
ejpam-1472	91	28	�	�	PROPN
ejpam-1472	91	29	�	�	PROPN
ejpam-1472	91	30	f	f	PROPN
ejpam-1472	91	31	′i	′i	NOUN
ejpam-1472	91	32	(	(	PUNCT
ejpam-1472	91	33	z	z	NOUN
ejpam-1472	91	34	)	)	PUNCT
ejpam-1472	91	35	�	�	PROPN
ejpam-1472	91	36	z	z	PROPN
ejpam-1472	91	37	fi(z	fi(z	ADV
ejpam-1472	91	38	)	)	PUNCT
ejpam-1472	91	39	�	�	PROPN
ejpam-1472	91	40	µi	µi	ADP
ejpam-1472	91	41	−	−	NUM
ejpam-1472	91	42	1	1	NUM
ejpam-1472	91	43	�	�	PROPN
ejpam-1472	91	44	�	�	PROPN
ejpam-1472	91	45	�	�	PROPN
ejpam-1472	91	46	�	�	PROPN
ejpam-1472	91	47	+	+	CCONJ
ejpam-1472	91	48	1	1	NUM
ejpam-1472	91	49	�	�	PROPN
ejpam-1472	91	50	�	�	PROPN
ejpam-1472	91	51	�	�	PROPN
ejpam-1472	91	52	�	�	PROPN
ejpam-1472	91	53	�	�	PROPN
ejpam-1472	91	54	fi(z	fi(z	PART
ejpam-1472	91	55	)	)	PUNCT
ejpam-1472	91	56	z	z	NOUN
ejpam-1472	91	57	�	�	PROPN
ejpam-1472	91	58	�	�	PROPN
ejpam-1472	91	59	�	�	PROPN
ejpam-1472	91	60	�	�	PROPN
ejpam-1472	91	61	µi−1	µi−1	PROPN
ejpam-1472	91	62	+	+	PROPN
ejpam-1472	91	63	n	n	PROPN
ejpam-1472	91	64	∑	∑	ADP
ejpam-1472	91	65	i=1	i=1	PROPN
ejpam-1472	91	66	ηi	ηi	PROPN
ejpam-1472	91	67	�	�	PROPN
ejpam-1472	91	68	�	�	PROPN
ejpam-1472	91	69	�	�	PROPN
ejpam-1472	91	70	�	�	PROPN
ejpam-1472	91	71	�	�	PROPN
ejpam-1472	91	72	zg	zg	PROPN
ejpam-1472	91	73	′′i	′′i	NOUN
ejpam-1472	91	74	(	(	PUNCT
ejpam-1472	91	75	z	z	NOUN
ejpam-1472	91	76	)	)	PUNCT
ejpam-1472	91	77	g	g	PROPN
ejpam-1472	91	78	′i(z	′i(z	PROPN
ejpam-1472	91	79	)	)	PUNCT
ejpam-1472	92	1	+	+	CCONJ
ejpam-1472	92	2	1	1	NUM
ejpam-1472	92	3	�	�	PROPN
ejpam-1472	92	4	�	�	PROPN
ejpam-1472	92	5	�	�	PROPN
ejpam-1472	92	6	�	�	PROPN
ejpam-1472	92	7	�	�	PROPN
ejpam-1472	92	8	−	−	PROPN
ejpam-1472	92	9	1	1	NUM
ejpam-1472	92	10	!	!	PUNCT
ejpam-1472	93	1	(	(	PUNCT
ejpam-1472	93	2	5	5	NUM
ejpam-1472	93	3	)	)	PUNCT
ejpam-1472	93	4	since	since	SCONJ
ejpam-1472	93	5	|	|	ADV
ejpam-1472	93	6	fi(z)|	fi(z)|	VERB
ejpam-1472	93	7	≤	≤	PROPN
ejpam-1472	93	8	mi	mi	PROPN
ejpam-1472	93	9	for	for	ADP
ejpam-1472	93	10	all	all	DET
ejpam-1472	93	11	i	i	PRON
ejpam-1472	93	12	=	=	NOUN
ejpam-1472	93	13	1	1	NUM
ejpam-1472	93	14	,	,	PUNCT
ejpam-1472	93	15	2	2	NUM
ejpam-1472	93	16	,	,	PUNCT
ejpam-1472	93	17	.	.	PUNCT
ejpam-1472	93	18	.	.	PUNCT
ejpam-1472	94	1	.	.	PUNCT
ejpam-1472	95	1	,	,	PUNCT
ejpam-1472	95	2	n	n	CCONJ
ejpam-1472	95	3	,	,	PUNCT
ejpam-1472	95	4	applying	apply	VERB
ejpam-1472	95	5	the	the	DET
ejpam-1472	95	6	general	general	ADJ
ejpam-1472	95	7	schwarz	schwarz	PROPN
ejpam-1472	95	8	lemma	lemma	PROPN
ejpam-1472	95	9	,	,	PUNCT
ejpam-1472	95	10	it	it	PRON
ejpam-1472	95	11	results	result	VERB
ejpam-1472	95	12	�	�	PROPN
ejpam-1472	95	13	�	�	PROPN
ejpam-1472	95	14	�	�	PROPN
ejpam-1472	95	15	�	�	PROPN
ejpam-1472	95	16	fi(z	fi(z	PART
ejpam-1472	95	17	)	)	PUNCT
ejpam-1472	95	18	z	z	NOUN
ejpam-1472	95	19	�	�	PROPN
ejpam-1472	95	20	�	�	PROPN
ejpam-1472	95	21	�	�	PROPN
ejpam-1472	95	22	�	�	PROPN
ejpam-1472	95	23	≤	≤	PROPN
ejpam-1472	95	24	mi	mi	PROPN
ejpam-1472	95	25	for	for	ADP
ejpam-1472	95	26	all	all	DET
ejpam-1472	95	27	i	i	NOUN
ejpam-1472	95	28	=	=	SYM
ejpam-1472	95	29	1,2	1,2	NUM
ejpam-1472	95	30	,	,	PUNCT
ejpam-1472	95	31	.	.	PUNCT
ejpam-1472	95	32	.	.	PUNCT
ejpam-1472	96	1	.	.	PUNCT
ejpam-1472	97	1	,	,	PUNCT
ejpam-1472	97	2	n.	n.	NOUN
ejpam-1472	97	3	(	(	PUNCT
ejpam-1472	97	4	6	6	NUM
ejpam-1472	97	5	)	)	PUNCT
ejpam-1472	97	6	from	from	ADP
ejpam-1472	97	7	(	(	PUNCT
ejpam-1472	97	8	5	5	NUM
ejpam-1472	97	9	)	)	PUNCT
ejpam-1472	97	10	and	and	CCONJ
ejpam-1472	97	11	(	(	PUNCT
ejpam-1472	97	12	6	6	NUM
ejpam-1472	97	13	)	)	PUNCT
ejpam-1472	97	14	,	,	PUNCT
ejpam-1472	97	15	using	use	VERB
ejpam-1472	97	16	that	that	DET
ejpam-1472	97	17	fi	fi	NOUN
ejpam-1472	97	18	∈b(µi	∈b(µi	PROPN
ejpam-1472	97	19	,	,	PUNCT
ejpam-1472	97	20	αi	αi	PROPN
ejpam-1472	97	21	)	)	PUNCT
ejpam-1472	97	22	and	and	CCONJ
ejpam-1472	97	23	gi	gi	ADP
ejpam-1472	97	24	∈	∈	PROPN
ejpam-1472	97	25	n	n	CCONJ
ejpam-1472	97	26	(	(	PUNCT
ejpam-1472	97	27	ρi	ρi	NOUN
ejpam-1472	97	28	)	)	PUNCT
ejpam-1472	97	29	for	for	ADP
ejpam-1472	97	30	all	all	DET
ejpam-1472	97	31	i	i	NOUN
ejpam-1472	97	32	=	=	SYM
ejpam-1472	97	33	1,2	1,2	NUM
ejpam-1472	97	34	,	,	PUNCT
ejpam-1472	97	35	.	.	PUNCT
ejpam-1472	97	36	.	.	PUNCT
ejpam-1472	97	37	.	.	PUNCT
ejpam-1472	98	1	,	,	PUNCT
ejpam-1472	98	2	n	n	CCONJ
ejpam-1472	98	3	,	,	PUNCT
ejpam-1472	98	4	we	we	PRON
ejpam-1472	98	5	obtain	obtain	VERB
ejpam-1472	98	6	�	�	PROPN
ejpam-1472	98	7	�	�	PROPN
ejpam-1472	98	8	�	�	PROPN
ejpam-1472	98	9	�	�	PROPN
ejpam-1472	98	10	zg′′n	zg′′n	PROPN
ejpam-1472	98	11	(	(	PUNCT
ejpam-1472	98	12	z	z	NOUN
ejpam-1472	98	13	)	)	PUNCT
ejpam-1472	98	14	g′n(z	g′n(z	PROPN
ejpam-1472	98	15	)	)	PUNCT
ejpam-1472	98	16	�	�	PROPN
ejpam-1472	98	17	�	�	PROPN
ejpam-1472	98	18	�	�	PROPN
ejpam-1472	98	19	�	�	PROPN
ejpam-1472	98	20	<	<	X
ejpam-1472	98	21	n	n	PROPN
ejpam-1472	98	22	∑	∑	PROPN
ejpam-1472	98	23	i=1	i=1	PROPN
ejpam-1472	98	24	h	h	PROPN
ejpam-1472	98	25	(	(	PUNCT
ejpam-1472	98	26	γi	γi	INTJ
ejpam-1472	98	27	−	−	PROPN
ejpam-1472	98	28	1)(2−αi)m	1)(2−αi)m	PROPN
ejpam-1472	99	1	µi−1	µi−1	PROPN
ejpam-1472	99	2	i	i	PROPN
ejpam-1472	99	3	+	+	PROPN
ejpam-1472	99	4	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	99	5	−	−	ADP
ejpam-1472	99	6	1	1	NUM
ejpam-1472	99	7	)	)	PUNCT
ejpam-1472	99	8	i	i	PRON
ejpam-1472	99	9	=	=	SYM
ejpam-1472	99	10	1−δ	1−δ	NUM
ejpam-1472	99	11	this	this	PRON
ejpam-1472	99	12	completes	complete	VERB
ejpam-1472	99	13	the	the	DET
ejpam-1472	99	14	proof	proof	NOUN
ejpam-1472	99	15	of	of	ADP
ejpam-1472	99	16	our	our	PRON
ejpam-1472	99	17	theorem	theorem	NOUN
ejpam-1472	99	18	.	.	PUNCT
ejpam-1472	100	1	letting	let	VERB
ejpam-1472	100	2	n	n	NOUN
ejpam-1472	100	3	=	=	SYM
ejpam-1472	100	4	1	1	NUM
ejpam-1472	100	5	,	,	PUNCT
ejpam-1472	100	6	γ1	γ1	NOUN
ejpam-1472	100	7	=	=	SYM
ejpam-1472	100	8	γ	γ	X
ejpam-1472	100	9	,	,	PUNCT
ejpam-1472	100	10	η1	η1	NOUN
ejpam-1472	100	11	=	=	SYM
ejpam-1472	100	12	η	η	PROPN
ejpam-1472	100	13	,	,	PUNCT
ejpam-1472	100	14	m1	m1	PROPN
ejpam-1472	100	15	=	=	SYM
ejpam-1472	100	16	m	m	PROPN
ejpam-1472	100	17	,	,	PUNCT
ejpam-1472	100	18	µ1	µ1	PROPN
ejpam-1472	100	19	=	=	SYM
ejpam-1472	100	20	µ	µ	NOUN
ejpam-1472	100	21	,	,	PUNCT
ejpam-1472	100	22	α1	α1	PROPN
ejpam-1472	100	23	=	=	SYM
ejpam-1472	100	24	α	α	PROPN
ejpam-1472	100	25	,	,	PUNCT
ejpam-1472	100	26	ρ1	ρ1	NOUN
ejpam-1472	100	27	=	=	SYM
ejpam-1472	100	28	ρ	ρ	PROPN
ejpam-1472	100	29	,	,	PUNCT
ejpam-1472	100	30	f1	f1	NOUN
ejpam-1472	100	31	=	=	SYM
ejpam-1472	100	32	f	f	PROPN
ejpam-1472	100	33	and	and	CCONJ
ejpam-1472	100	34	g1	g1	PROPN
ejpam-1472	100	35	=	=	PUNCT
ejpam-1472	100	36	g	g	PROPN
ejpam-1472	100	37	in	in	ADP
ejpam-1472	100	38	theorem	theorem	NOUN
ejpam-1472	100	39	2	2	NUM
ejpam-1472	100	40	,	,	PUNCT
ejpam-1472	100	41	we	we	PRON
ejpam-1472	100	42	have	have	VERB
ejpam-1472	100	43	corollary	corollary	ADJ
ejpam-1472	100	44	3	3	NUM
ejpam-1472	100	45	.	.	PUNCT
ejpam-1472	101	1	let	let	VERB
ejpam-1472	101	2	γ	γ	PROPN
ejpam-1472	101	3	∈	∈	PROPN
ejpam-1472	101	4	r	r	NOUN
ejpam-1472	101	5	,	,	PUNCT
ejpam-1472	101	6	γ	γ	X
ejpam-1472	101	7	>	>	X
ejpam-1472	101	8	1	1	NUM
ejpam-1472	101	9	,	,	PUNCT
ejpam-1472	101	10	η	η	PROPN
ejpam-1472	101	11	∈	∈	PROPN
ejpam-1472	101	12	r	r	PROPN
ejpam-1472	101	13	,	,	PUNCT
ejpam-1472	101	14	η	η	PROPN
ejpam-1472	101	15	>	>	X
ejpam-1472	101	16	0	0	PROPN
ejpam-1472	101	17	,	,	PUNCT
ejpam-1472	101	18	the	the	DET
ejpam-1472	101	19	functions	function	NOUN
ejpam-1472	101	20	f	f	PROPN
ejpam-1472	101	21	∈	∈	PROPN
ejpam-1472	101	22	b(µ,α	b(µ,α	NOUN
ejpam-1472	101	23	)	)	PUNCT
ejpam-1472	101	24	,	,	PUNCT
ejpam-1472	101	25	µ	µ	X
ejpam-1472	101	26	≥	≥	NOUN
ejpam-1472	101	27	0	0	NUM
ejpam-1472	101	28	,	,	PUNCT
ejpam-1472	101	29	0	0	NUM
ejpam-1472	101	30	≤	≤	NUM
ejpam-1472	101	31	α	α	NOUN
ejpam-1472	101	32	<	<	X
ejpam-1472	101	33	1	1	NUM
ejpam-1472	101	34	,	,	PUNCT
ejpam-1472	101	35	satisfying	satisfy	VERB
ejpam-1472	101	36	the	the	DET
ejpam-1472	101	37	condition	condition	NOUN
ejpam-1472	102	1	|	|	ADV
ejpam-1472	102	2	f	f	PROPN
ejpam-1472	102	3	(	(	PUNCT
ejpam-1472	102	4	z)|	z)|	ADP
ejpam-1472	102	5	≤	≤	PROPN
ejpam-1472	102	6	m	m	ADP
ejpam-1472	102	7	,	,	PUNCT
ejpam-1472	102	8	(	(	PUNCT
ejpam-1472	102	9	m	m	NOUN
ejpam-1472	102	10	≥	≥	NOUN
ejpam-1472	102	11	1	1	NUM
ejpam-1472	102	12	)	)	PUNCT
ejpam-1472	102	13	and	and	CCONJ
ejpam-1472	102	14	g	g	PROPN
ejpam-1472	102	15	∈	∈	PROPN
ejpam-1472	102	16	n	n	PROPN
ejpam-1472	102	17	(	(	PUNCT
ejpam-1472	102	18	ρ	ρ	PROPN
ejpam-1472	102	19	)	)	PUNCT
ejpam-1472	102	20	,	,	PUNCT
ejpam-1472	102	21	ρ	ρ	PROPN
ejpam-1472	102	22	>	>	X
ejpam-1472	102	23	1	1	NUM
ejpam-1472	102	24	.	.	PUNCT
ejpam-1472	103	1	if	if	SCONJ
ejpam-1472	103	2	(	(	PUNCT
ejpam-1472	103	3	γ−	γ−	NUM
ejpam-1472	103	4	1)(2−α)mµ−1+η(ρ−	1)(2−α)mµ−1+η(ρ−	NOUN
ejpam-1472	103	5	1	1	NUM
ejpam-1472	103	6	)	)	PUNCT
ejpam-1472	103	7	<	<	X
ejpam-1472	103	8	1	1	NUM
ejpam-1472	103	9	then	then	ADV
ejpam-1472	103	10	the	the	DET
ejpam-1472	103	11	integral	integral	ADJ
ejpam-1472	103	12	operator	operator	NOUN
ejpam-1472	103	13	g1(z	g1(z	PROPN
ejpam-1472	103	14	)	)	PUNCT
ejpam-1472	103	15	=	=	SYM
ejpam-1472	103	16	∫	∫	PROPN
ejpam-1472	103	17	z	z	PROPN
ejpam-1472	103	18	0	0	NUM
ejpam-1472	103	19	�	�	PROPN
ejpam-1472	103	20	f	f	PROPN
ejpam-1472	103	21	(	(	PUNCT
ejpam-1472	103	22	t	t	PROPN
ejpam-1472	103	23	)	)	PUNCT
ejpam-1472	103	24	�	�	PROPN
ejpam-1472	103	25	γ−1	γ−1	PROPN
ejpam-1472	103	26	(	(	PUNCT
ejpam-1472	103	27	g	g	NOUN
ejpam-1472	103	28	′(t))ηdt	′(t))ηdt	PROPN
ejpam-1472	103	29	is	be	AUX
ejpam-1472	103	30	in	in	ADP
ejpam-1472	103	31	k(δ	k(δ	PROPN
ejpam-1472	103	32	)	)	PUNCT
ejpam-1472	103	33	,	,	PUNCT
ejpam-1472	103	34	where	where	SCONJ
ejpam-1472	103	35	δ	δ	PROPN
ejpam-1472	103	36	=	=	SYM
ejpam-1472	103	37	1	1	NUM
ejpam-1472	103	38	+	+	CCONJ
ejpam-1472	103	39	(	(	PUNCT
ejpam-1472	103	40	γ−	γ−	NUM
ejpam-1472	103	41	1)(α−	1)(α−	NUM
ejpam-1472	103	42	2)mµ−1+η(1−ρ	2)mµ−1+η(1−ρ	NUM
ejpam-1472	103	43	)	)	PUNCT
ejpam-1472	103	44	.	.	PUNCT
ejpam-1472	104	1	letting	let	VERB
ejpam-1472	104	2	µi	µi	ADP
ejpam-1472	104	3	=	=	SYM
ejpam-1472	104	4	0	0	PROPN
ejpam-1472	104	5	and	and	CCONJ
ejpam-1472	104	6	mi	mi	PROPN
ejpam-1472	104	7	=	=	PROPN
ejpam-1472	104	8	m	m	PROPN
ejpam-1472	104	9	for	for	ADP
ejpam-1472	104	10	all	all	PRON
ejpam-1472	104	11	i	i	PRON
ejpam-1472	104	12	=	=	SYM
ejpam-1472	104	13	1,2	1,2	NUM
ejpam-1472	104	14	,	,	PUNCT
ejpam-1472	104	15	.	.	PUNCT
ejpam-1472	104	16	.	.	PUNCT
ejpam-1472	105	1	.	.	PUNCT
ejpam-1472	106	1	,	,	PUNCT
ejpam-1472	106	2	n	n	X
ejpam-1472	106	3	in	in	ADP
ejpam-1472	106	4	theorem	theorem	NOUN
ejpam-1472	106	5	2	2	NUM
ejpam-1472	106	6	,	,	PUNCT
ejpam-1472	106	7	we	we	PRON
ejpam-1472	106	8	have	have	VERB
ejpam-1472	106	9	v.	v.	CCONJ
ejpam-1472	106	10	macarie	macarie	NOUN
ejpam-1472	106	11	,	,	PUNCT
ejpam-1472	106	12	d.	d.	PROPN
ejpam-1472	106	13	breaz	breaz	PROPN
ejpam-1472	106	14	/	/	SYM
ejpam-1472	106	15	eur	eur	PROPN
ejpam-1472	106	16	.	.	PUNCT
ejpam-1472	107	1	j.	j.	PROPN
ejpam-1472	107	2	pure	pure	PROPN
ejpam-1472	107	3	appl	appl	PROPN
ejpam-1472	107	4	.	.	PROPN
ejpam-1472	107	5	math	math	PROPN
ejpam-1472	107	6	,	,	PUNCT
ejpam-1472	107	7	6	6	NUM
ejpam-1472	107	8	(	(	PUNCT
ejpam-1472	107	9	2013	2013	NUM
ejpam-1472	107	10	)	)	PUNCT
ejpam-1472	107	11	,	,	PUNCT
ejpam-1472	107	12	307	307	NUM
ejpam-1472	107	13	-	-	SYM
ejpam-1472	107	14	314	314	NUM
ejpam-1472	107	15	312	312	NUM
ejpam-1472	107	16	corollary	corollary	ADJ
ejpam-1472	107	17	4	4	NUM
ejpam-1472	107	18	.	.	PUNCT
ejpam-1472	108	1	let	let	VERB
ejpam-1472	108	2	γi	γi	INTJ
ejpam-1472	108	3	∈	∈	PROPN
ejpam-1472	108	4	r	r	NOUN
ejpam-1472	108	5	,	,	PUNCT
ejpam-1472	108	6	γi	γi	INTJ
ejpam-1472	108	7	>	>	X
ejpam-1472	108	8	1	1	NUM
ejpam-1472	108	9	,	,	PUNCT
ejpam-1472	108	10	ηi	ηi	PROPN
ejpam-1472	108	11	∈	∈	PROPN
ejpam-1472	108	12	r	r	PROPN
ejpam-1472	108	13	,	,	PUNCT
ejpam-1472	108	14	ηi	ηi	X
ejpam-1472	108	15	>	>	X
ejpam-1472	108	16	0	0	PUNCT
ejpam-1472	109	1	for	for	ADP
ejpam-1472	109	2	all	all	DET
ejpam-1472	109	3	i	i	PRON
ejpam-1472	109	4	=	=	NOUN
ejpam-1472	109	5	1	1	NUM
ejpam-1472	109	6	,	,	PUNCT
ejpam-1472	109	7	2	2	NUM
ejpam-1472	109	8	,	,	PUNCT
ejpam-1472	109	9	.	.	PUNCT
ejpam-1472	109	10	.	.	PUNCT
ejpam-1472	109	11	.	.	PUNCT
ejpam-1472	110	1	,	,	PUNCT
ejpam-1472	110	2	n	n	CCONJ
ejpam-1472	110	3	,	,	PUNCT
ejpam-1472	110	4	the	the	DET
ejpam-1472	110	5	functions	function	NOUN
ejpam-1472	110	6	fi	fi	NOUN
ejpam-1472	110	7	∈	∈	PROPN
ejpam-1472	110	8	r(αi	r(αi	NOUN
ejpam-1472	110	9	)	)	PUNCT
ejpam-1472	110	10	,	,	PUNCT
ejpam-1472	110	11	0	0	NUM
ejpam-1472	110	12	≤	≤	NUM
ejpam-1472	110	13	αi	αi	VERB
ejpam-1472	110	14	<	<	X
ejpam-1472	110	15	1	1	NUM
ejpam-1472	110	16	,	,	PUNCT
ejpam-1472	110	17	satisfying	satisfy	VERB
ejpam-1472	110	18	the	the	DET
ejpam-1472	110	19	conditions	condition	NOUN
ejpam-1472	110	20	|	|	ADV
ejpam-1472	110	21	fi(z)|	fi(z)|	VERB
ejpam-1472	110	22	≤	≤	PROPN
ejpam-1472	110	23	m	m	PROPN
ejpam-1472	110	24	,	,	PUNCT
ejpam-1472	110	25	(	(	PUNCT
ejpam-1472	110	26	m	m	NOUN
ejpam-1472	110	27	≥	≥	NOUN
ejpam-1472	110	28	1	1	NUM
ejpam-1472	110	29	)	)	PUNCT
ejpam-1472	110	30	and	and	CCONJ
ejpam-1472	110	31	gi	gi	ADP
ejpam-1472	110	32	∈	∈	PROPN
ejpam-1472	110	33	n	n	CCONJ
ejpam-1472	110	34	(	(	PUNCT
ejpam-1472	110	35	ρi	ρi	NOUN
ejpam-1472	110	36	)	)	PUNCT
ejpam-1472	110	37	,	,	PUNCT
ejpam-1472	110	38	ρi	ρi	X
ejpam-1472	110	39	>	>	X
ejpam-1472	110	40	1	1	NUM
ejpam-1472	110	41	for	for	ADP
ejpam-1472	110	42	all	all	DET
ejpam-1472	110	43	i	i	PRON
ejpam-1472	110	44	=	=	NOUN
ejpam-1472	110	45	1	1	NUM
ejpam-1472	110	46	,	,	PUNCT
ejpam-1472	110	47	2	2	NUM
ejpam-1472	110	48	,	,	PUNCT
ejpam-1472	110	49	.	.	PUNCT
ejpam-1472	110	50	.	.	PUNCT
ejpam-1472	111	1	.	.	PUNCT
ejpam-1472	112	1	,	,	PUNCT
ejpam-1472	112	2	n.	n.	NOUN
ejpam-1472	112	3	if	if	SCONJ
ejpam-1472	112	4	n	n	PROPN
ejpam-1472	112	5	∑	∑	PROPN
ejpam-1472	112	6	i=1	i=1	PROPN
ejpam-1472	112	7	�	�	PROPN
ejpam-1472	112	8	(	(	PUNCT
ejpam-1472	112	9	γi	γi	INTJ
ejpam-1472	112	10	−	−	PROPN
ejpam-1472	112	11	1)(2−αi	1)(2−αi	NUM
ejpam-1472	112	12	)	)	PUNCT
ejpam-1472	112	13	1	1	NUM
ejpam-1472	112	14	m	m	NOUN
ejpam-1472	112	15	+	+	ADJ
ejpam-1472	112	16	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	112	17	−	−	ADP
ejpam-1472	112	18	1	1	NUM
ejpam-1472	112	19	)	)	PUNCT
ejpam-1472	112	20	�	�	NOUN
ejpam-1472	112	21	<	<	X
ejpam-1472	112	22	1	1	NUM
ejpam-1472	112	23	then	then	ADV
ejpam-1472	112	24	the	the	DET
ejpam-1472	112	25	integral	integral	ADJ
ejpam-1472	112	26	operator	operator	NOUN
ejpam-1472	112	27	gn	gn	PROPN
ejpam-1472	112	28	defined	define	VERB
ejpam-1472	112	29	in	in	ADP
ejpam-1472	112	30	(	(	PUNCT
ejpam-1472	112	31	1	1	NUM
ejpam-1472	112	32	)	)	PUNCT
ejpam-1472	112	33	is	be	AUX
ejpam-1472	112	34	in	in	ADP
ejpam-1472	112	35	k(δ	k(δ	PROPN
ejpam-1472	112	36	)	)	PUNCT
ejpam-1472	112	37	,	,	PUNCT
ejpam-1472	112	38	where	where	SCONJ
ejpam-1472	112	39	δ	δ	PROPN
ejpam-1472	112	40	=	=	SYM
ejpam-1472	112	41	1−	1−	NUM
ejpam-1472	112	42	n	n	CCONJ
ejpam-1472	112	43	∑	∑	PUNCT
ejpam-1472	112	44	i=1	i=1	PROPN
ejpam-1472	112	45	�	�	PROPN
ejpam-1472	112	46	(	(	PUNCT
ejpam-1472	112	47	γi	γi	INTJ
ejpam-1472	112	48	−	−	PROPN
ejpam-1472	112	49	1)(2−αi	1)(2−αi	NUM
ejpam-1472	112	50	)	)	PUNCT
ejpam-1472	112	51	1	1	NUM
ejpam-1472	112	52	m	m	NOUN
ejpam-1472	112	53	+	+	ADJ
ejpam-1472	112	54	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	112	55	−	−	ADP
ejpam-1472	112	56	1	1	NUM
ejpam-1472	112	57	)	)	PUNCT
ejpam-1472	112	58	�	�	PROPN
ejpam-1472	112	59	.	.	PUNCT
ejpam-1472	113	1	letting	let	VERB
ejpam-1472	113	2	µi	µi	ADP
ejpam-1472	114	1	=	=	SYM
ejpam-1472	115	1	1	1	NUM
ejpam-1472	115	2	and	and	CCONJ
ejpam-1472	115	3	mi	mi	PROPN
ejpam-1472	116	1	=	=	PROPN
ejpam-1472	116	2	m	m	PROPN
ejpam-1472	116	3	for	for	ADP
ejpam-1472	116	4	all	all	PRON
ejpam-1472	116	5	i	i	PRON
ejpam-1472	117	1	=	=	NOUN
ejpam-1472	117	2	1	1	NUM
ejpam-1472	117	3	,	,	PUNCT
ejpam-1472	117	4	2	2	NUM
ejpam-1472	117	5	,	,	PUNCT
ejpam-1472	117	6	.	.	PUNCT
ejpam-1472	117	7	.	.	PUNCT
ejpam-1472	118	1	.	.	PUNCT
ejpam-1472	119	1	,	,	PUNCT
ejpam-1472	119	2	n	n	X
ejpam-1472	119	3	in	in	ADP
ejpam-1472	119	4	theorem	theorem	NOUN
ejpam-1472	119	5	2	2	NUM
ejpam-1472	119	6	,	,	PUNCT
ejpam-1472	119	7	we	we	PRON
ejpam-1472	119	8	have	have	VERB
ejpam-1472	119	9	corollary	corollary	ADJ
ejpam-1472	119	10	5	5	NUM
ejpam-1472	119	11	.	.	PUNCT
ejpam-1472	120	1	let	let	VERB
ejpam-1472	120	2	γi	γi	INTJ
ejpam-1472	120	3	∈	∈	PROPN
ejpam-1472	120	4	r	r	NOUN
ejpam-1472	120	5	,	,	PUNCT
ejpam-1472	120	6	γi	γi	INTJ
ejpam-1472	120	7	>	>	X
ejpam-1472	120	8	1	1	NUM
ejpam-1472	120	9	,	,	PUNCT
ejpam-1472	120	10	ηi	ηi	PROPN
ejpam-1472	120	11	∈	∈	PROPN
ejpam-1472	120	12	r	r	PROPN
ejpam-1472	120	13	,	,	PUNCT
ejpam-1472	120	14	ηi	ηi	X
ejpam-1472	120	15	>	>	X
ejpam-1472	120	16	0	0	PUNCT
ejpam-1472	121	1	for	for	ADP
ejpam-1472	121	2	all	all	DET
ejpam-1472	121	3	i	i	PRON
ejpam-1472	121	4	=	=	NOUN
ejpam-1472	121	5	1	1	NUM
ejpam-1472	121	6	,	,	PUNCT
ejpam-1472	121	7	2	2	NUM
ejpam-1472	121	8	,	,	PUNCT
ejpam-1472	121	9	.	.	PUNCT
ejpam-1472	121	10	.	.	PUNCT
ejpam-1472	121	11	.	.	PUNCT
ejpam-1472	122	1	,	,	PUNCT
ejpam-1472	122	2	n	n	CCONJ
ejpam-1472	122	3	,	,	PUNCT
ejpam-1472	122	4	the	the	DET
ejpam-1472	122	5	functions	function	NOUN
ejpam-1472	122	6	fi	fi	NOUN
ejpam-1472	122	7	∈	∈	PROPN
ejpam-1472	122	8	s∗(αi	s∗(αi	NOUN
ejpam-1472	122	9	)	)	PUNCT
ejpam-1472	122	10	,	,	PUNCT
ejpam-1472	122	11	0	0	NUM
ejpam-1472	122	12	≤	≤	NUM
ejpam-1472	122	13	αi	αi	VERB
ejpam-1472	122	14	<	<	X
ejpam-1472	122	15	1	1	NUM
ejpam-1472	122	16	,	,	PUNCT
ejpam-1472	122	17	satisfying	satisfy	VERB
ejpam-1472	122	18	the	the	DET
ejpam-1472	122	19	conditions	condition	NOUN
ejpam-1472	122	20	|	|	ADV
ejpam-1472	122	21	fi(z)|	fi(z)|	VERB
ejpam-1472	122	22	≤	≤	PROPN
ejpam-1472	122	23	m	m	PROPN
ejpam-1472	122	24	,	,	PUNCT
ejpam-1472	122	25	(	(	PUNCT
ejpam-1472	122	26	m	m	NOUN
ejpam-1472	122	27	≥	≥	NOUN
ejpam-1472	122	28	1	1	NUM
ejpam-1472	122	29	)	)	PUNCT
ejpam-1472	122	30	and	and	CCONJ
ejpam-1472	122	31	gi	gi	ADP
ejpam-1472	122	32	∈	∈	PROPN
ejpam-1472	122	33	n	n	CCONJ
ejpam-1472	122	34	(	(	PUNCT
ejpam-1472	122	35	ρi	ρi	NOUN
ejpam-1472	122	36	)	)	PUNCT
ejpam-1472	122	37	,	,	PUNCT
ejpam-1472	122	38	ρi	ρi	X
ejpam-1472	122	39	>	>	X
ejpam-1472	122	40	1	1	NUM
ejpam-1472	122	41	for	for	ADP
ejpam-1472	122	42	all	all	DET
ejpam-1472	122	43	i	i	NOUN
ejpam-1472	122	44	=	=	SYM
ejpam-1472	122	45	1,2	1,2	NUM
ejpam-1472	122	46	,	,	PUNCT
ejpam-1472	122	47	.	.	PUNCT
ejpam-1472	122	48	.	.	PUNCT
ejpam-1472	122	49	.	.	PUNCT
ejpam-1472	123	1	,	,	PUNCT
ejpam-1472	123	2	n.	n.	NOUN
ejpam-1472	123	3	if	if	SCONJ
ejpam-1472	123	4	n	n	PROPN
ejpam-1472	123	5	∑	∑	PROPN
ejpam-1472	123	6	i=1	i=1	PROPN
ejpam-1472	123	7	�	�	PROPN
ejpam-1472	123	8	(	(	PUNCT
ejpam-1472	123	9	γi	γi	INTJ
ejpam-1472	123	10	−	−	PROPN
ejpam-1472	123	11	1)(2−αi	1)(2−αi	NOUN
ejpam-1472	123	12	)	)	PUNCT
ejpam-1472	124	1	+	+	ADJ
ejpam-1472	124	2	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	124	3	−	−	ADP
ejpam-1472	124	4	1	1	NUM
ejpam-1472	124	5	)	)	PUNCT
ejpam-1472	124	6	�	�	NOUN
ejpam-1472	124	7	<	<	X
ejpam-1472	124	8	1	1	NUM
ejpam-1472	124	9	then	then	ADV
ejpam-1472	124	10	the	the	DET
ejpam-1472	124	11	integral	integral	ADJ
ejpam-1472	124	12	operator	operator	NOUN
ejpam-1472	124	13	gn	gn	PROPN
ejpam-1472	124	14	defined	define	VERB
ejpam-1472	124	15	in	in	ADP
ejpam-1472	124	16	(	(	PUNCT
ejpam-1472	124	17	1	1	NUM
ejpam-1472	124	18	)	)	PUNCT
ejpam-1472	124	19	is	be	AUX
ejpam-1472	124	20	in	in	ADP
ejpam-1472	124	21	k(δ	k(δ	PROPN
ejpam-1472	124	22	)	)	PUNCT
ejpam-1472	124	23	,	,	PUNCT
ejpam-1472	125	1	where	where	SCONJ
ejpam-1472	125	2	δ	δ	PROPN
ejpam-1472	125	3	=	=	SYM
ejpam-1472	125	4	1−	1−	NUM
ejpam-1472	125	5	n	n	CCONJ
ejpam-1472	125	6	∑	∑	PUNCT
ejpam-1472	125	7	i=1	i=1	PROPN
ejpam-1472	125	8	�	�	PROPN
ejpam-1472	125	9	(	(	PUNCT
ejpam-1472	125	10	γi	γi	INTJ
ejpam-1472	125	11	−	−	PROPN
ejpam-1472	125	12	1)(2−αi	1)(2−αi	NOUN
ejpam-1472	125	13	)	)	PUNCT
ejpam-1472	125	14	+	+	ADJ
ejpam-1472	125	15	ηi(ρi	ηi(ρi	ADJ
ejpam-1472	125	16	−	−	ADP
ejpam-1472	125	17	1	1	NUM
ejpam-1472	125	18	)	)	PUNCT
ejpam-1472	125	19	�	�	PROPN
ejpam-1472	125	20	.	.	PUNCT
ejpam-1472	126	1	theorem	theorem	NOUN
ejpam-1472	126	2	3	3	X
ejpam-1472	126	3	.	.	PUNCT
ejpam-1472	127	1	let	let	VERB
ejpam-1472	127	2	γi	γi	INTJ
ejpam-1472	127	3	∈	∈	PROPN
ejpam-1472	127	4	r	r	NOUN
ejpam-1472	127	5	,	,	PUNCT
ejpam-1472	127	6	γi	γi	INTJ
ejpam-1472	127	7	>	>	X
ejpam-1472	127	8	1	1	NUM
ejpam-1472	127	9	,	,	PUNCT
ejpam-1472	127	10	ηi	ηi	PROPN
ejpam-1472	127	11	∈	∈	PROPN
ejpam-1472	127	12	r	r	PROPN
ejpam-1472	127	13	,	,	PUNCT
ejpam-1472	127	14	ηi	ηi	X
ejpam-1472	127	15	>	>	X
ejpam-1472	127	16	0	0	PUNCT
ejpam-1472	128	1	for	for	ADP
ejpam-1472	128	2	all	all	DET
ejpam-1472	128	3	i	i	PRON
ejpam-1472	128	4	=	=	NOUN
ejpam-1472	128	5	1	1	NUM
ejpam-1472	128	6	,	,	PUNCT
ejpam-1472	128	7	2	2	NUM
ejpam-1472	128	8	,	,	PUNCT
ejpam-1472	128	9	.	.	PUNCT
ejpam-1472	128	10	.	.	PUNCT
ejpam-1472	128	11	.	.	PUNCT
ejpam-1472	129	1	,	,	PUNCT
ejpam-1472	129	2	n	n	CCONJ
ejpam-1472	129	3	,	,	PUNCT
ejpam-1472	129	4	the	the	DET
ejpam-1472	129	5	functions	function	NOUN
ejpam-1472	129	6	fi	fi	NOUN
ejpam-1472	129	7	∈	∈	PROPN
ejpam-1472	129	8	ρi	ρi	NOUN
ejpam-1472	129	9	−	−	PROPN
ejpam-1472	129	10	sp(εi	sp(εi	NOUN
ejpam-1472	129	11	)	)	PUNCT
ejpam-1472	129	12	,	,	PUNCT
ejpam-1472	129	13	−1	−1	NOUN
ejpam-1472	129	14	≤	≤	NUM
ejpam-1472	129	15	εi	εi	VERB
ejpam-1472	129	16	≤	≤	NUM
ejpam-1472	129	17	1	1	NUM
ejpam-1472	129	18	,	,	PUNCT
ejpam-1472	129	19	ρi	ρi	X
ejpam-1472	129	20	>	>	X
ejpam-1472	129	21	0	0	PUNCT
ejpam-1472	130	1	and	and	CCONJ
ejpam-1472	130	2	gi	gi	NOUN
ejpam-1472	130	3	∈	∈	PROPN
ejpam-1472	130	4	kd(µi	kd(µi	PROPN
ejpam-1472	130	5	,	,	PUNCT
ejpam-1472	130	6	αi	αi	NOUN
ejpam-1472	130	7	)	)	PUNCT
ejpam-1472	130	8	,	,	PUNCT
ejpam-1472	130	9	0	0	NUM
ejpam-1472	130	10	≤	≤	NUM
ejpam-1472	130	11	αi	αi	VERB
ejpam-1472	130	12	<	<	X
ejpam-1472	130	13	1	1	NUM
ejpam-1472	130	14	,	,	PUNCT
ejpam-1472	130	15	µi	µi	ADV
ejpam-1472	130	16	≥	≥	NOUN
ejpam-1472	130	17	0	0	NUM
ejpam-1472	130	18	for	for	ADP
ejpam-1472	130	19	all	all	DET
ejpam-1472	130	20	i	i	NOUN
ejpam-1472	130	21	=	=	SYM
ejpam-1472	130	22	1,2	1,2	NUM
ejpam-1472	130	23	,	,	PUNCT
ejpam-1472	130	24	.	.	PUNCT
ejpam-1472	130	25	.	.	PUNCT
ejpam-1472	130	26	.	.	PUNCT
ejpam-1472	131	1	,	,	PUNCT
ejpam-1472	131	2	n.	n.	NOUN
ejpam-1472	131	3	if	if	SCONJ
ejpam-1472	131	4	0	0	NUM
ejpam-1472	131	5	<	<	X
ejpam-1472	131	6	n	n	PRON
ejpam-1472	131	7	∑	∑	PROPN
ejpam-1472	131	8	i=1	i=1	PROPN
ejpam-1472	131	9	�	�	PROPN
ejpam-1472	131	10	(	(	PUNCT
ejpam-1472	131	11	1−	1−	NUM
ejpam-1472	131	12	γi)εi	γi)εi	SYM
ejpam-1472	132	1	+	+	NOUN
ejpam-1472	132	2	ηi(1−αi	ηi(1−αi	NOUN
ejpam-1472	132	3	)	)	PUNCT
ejpam-1472	132	4	�	�	PROPN
ejpam-1472	132	5	≤	≤	NOUN
ejpam-1472	132	6	1	1	NUM
ejpam-1472	132	7	then	then	ADV
ejpam-1472	132	8	the	the	DET
ejpam-1472	132	9	integral	integral	ADJ
ejpam-1472	132	10	operator	operator	NOUN
ejpam-1472	132	11	gn	gn	PROPN
ejpam-1472	132	12	defined	define	VERB
ejpam-1472	132	13	in	in	ADP
ejpam-1472	132	14	(	(	PUNCT
ejpam-1472	132	15	1	1	NUM
ejpam-1472	132	16	)	)	PUNCT
ejpam-1472	132	17	is	be	AUX
ejpam-1472	132	18	in	in	ADP
ejpam-1472	132	19	k(δ	k(δ	PROPN
ejpam-1472	132	20	)	)	PUNCT
ejpam-1472	132	21	,	,	PUNCT
ejpam-1472	132	22	where	where	SCONJ
ejpam-1472	132	23	δ	δ	PROPN
ejpam-1472	132	24	=	=	SYM
ejpam-1472	132	25	1	1	NUM
ejpam-1472	132	26	+	+	NUM
ejpam-1472	132	27	n	n	CCONJ
ejpam-1472	132	28	∑	∑	ADP
ejpam-1472	132	29	i=1	i=1	PROPN
ejpam-1472	132	30	�	�	PROPN
ejpam-1472	132	31	(	(	PUNCT
ejpam-1472	132	32	γi	γi	ADP
ejpam-1472	132	33	−	−	NUM
ejpam-1472	132	34	1)εi	1)εi	NUM
ejpam-1472	132	35	+	+	NOUN
ejpam-1472	132	36	ηi(αi	ηi(αi	NOUN
ejpam-1472	132	37	−	−	ADJ
ejpam-1472	132	38	1	1	X
ejpam-1472	132	39	)	)	PUNCT
ejpam-1472	132	40	�	�	PROPN
ejpam-1472	132	41	.	.	PUNCT
ejpam-1472	133	1	proof	proof	NOUN
ejpam-1472	133	2	.	.	PUNCT
ejpam-1472	134	1	following	follow	VERB
ejpam-1472	134	2	the	the	DET
ejpam-1472	134	3	same	same	ADJ
ejpam-1472	134	4	steps	step	NOUN
ejpam-1472	134	5	as	as	ADP
ejpam-1472	134	6	in	in	ADP
ejpam-1472	134	7	theorem	theorem	NOUN
ejpam-1472	134	8	1	1	NUM
ejpam-1472	134	9	,	,	PUNCT
ejpam-1472	134	10	we	we	PRON
ejpam-1472	134	11	obtain	obtain	VERB
ejpam-1472	134	12	that	that	DET
ejpam-1472	134	13	zg′′n	zg′′n	NOUN
ejpam-1472	134	14	(	(	PUNCT
ejpam-1472	134	15	z	z	NOUN
ejpam-1472	134	16	)	)	PUNCT
ejpam-1472	134	17	g′n(z	g′n(z	NOUN
ejpam-1472	134	18	)	)	PUNCT
ejpam-1472	134	19	=	=	SYM
ejpam-1472	135	1	n	n	PROPN
ejpam-1472	135	2	∑	∑	PROPN
ejpam-1472	135	3	i=1	i=1	PROPN
ejpam-1472	135	4	(	(	PUNCT
ejpam-1472	135	5	γi	γi	INTJ
ejpam-1472	135	6	−	−	PROPN
ejpam-1472	135	7	1	1	NUM
ejpam-1472	135	8	)	)	PUNCT
ejpam-1472	135	9	z	z	NOUN
ejpam-1472	135	10	f	f	NOUN
ejpam-1472	136	1	′i	′i	NOUN
ejpam-1472	136	2	(	(	PUNCT
ejpam-1472	136	3	z	z	NOUN
ejpam-1472	136	4	)	)	PUNCT
ejpam-1472	136	5	fi(z	fi(z	PROPN
ejpam-1472	136	6	)	)	PUNCT
ejpam-1472	137	1	+	+	CCONJ
ejpam-1472	137	2	n	n	CCONJ
ejpam-1472	137	3	∑	∑	ADP
ejpam-1472	137	4	i=1	i=1	PROPN
ejpam-1472	137	5	ηi	ηi	PROPN
ejpam-1472	137	6	zg	zg	PROPN
ejpam-1472	137	7	′′i	′′i	PROPN
ejpam-1472	137	8	(	(	PUNCT
ejpam-1472	137	9	z	z	NOUN
ejpam-1472	137	10	)	)	PUNCT
ejpam-1472	137	11	g	g	PROPN
ejpam-1472	137	12	′i(z	′i(z	PROPN
ejpam-1472	137	13	)	)	PUNCT
ejpam-1472	137	14	and	and	CCONJ
ejpam-1472	137	15	hence	hence	ADV
ejpam-1472	137	16	zg′′n	zg′′n	NOUN
ejpam-1472	137	17	(	(	PUNCT
ejpam-1472	137	18	z	z	NOUN
ejpam-1472	137	19	)	)	PUNCT
ejpam-1472	137	20	g′n(z	g′n(z	NOUN
ejpam-1472	137	21	)	)	PUNCT
ejpam-1472	138	1	+	+	CCONJ
ejpam-1472	138	2	1=	1=	NUM
ejpam-1472	138	3	n	n	CCONJ
ejpam-1472	138	4	∑	∑	PROPN
ejpam-1472	138	5	i=1	i=1	PROPN
ejpam-1472	138	6	�	�	PROPN
ejpam-1472	138	7	(	(	PUNCT
ejpam-1472	138	8	γi	γi	INTJ
ejpam-1472	138	9	−	−	ADP
ejpam-1472	138	10	1	1	X
ejpam-1472	138	11	)	)	PUNCT
ejpam-1472	138	12	�	�	PROPN
ejpam-1472	138	13	z	z	PROPN
ejpam-1472	138	14	f	f	PROPN
ejpam-1472	138	15	′i	′i	NOUN
ejpam-1472	138	16	(	(	PUNCT
ejpam-1472	138	17	z	z	NOUN
ejpam-1472	138	18	)	)	PUNCT
ejpam-1472	138	19	fi(z	fi(z	PROPN
ejpam-1472	138	20	)	)	PUNCT
ejpam-1472	138	21	−	−	PROPN
ejpam-1472	138	22	εi	εi	VERB
ejpam-1472	138	23	�	�	PROPN
ejpam-1472	138	24	+	+	CCONJ
ejpam-1472	138	25	(	(	PUNCT
ejpam-1472	138	26	γi	γi	INTJ
ejpam-1472	138	27	−	−	PROPN
ejpam-1472	138	28	1)εi	1)εi	PROPN
ejpam-1472	138	29	�	�	PROPN
ejpam-1472	138	30	+	+	CCONJ
ejpam-1472	138	31	n	n	CCONJ
ejpam-1472	138	32	∑	∑	ADP
ejpam-1472	138	33	i=1	i=1	PROPN
ejpam-1472	138	34	�	�	PROPN
ejpam-1472	138	35	ηi	ηi	PROPN
ejpam-1472	138	36	�	�	PROPN
ejpam-1472	138	37	zg	zg	PROPN
ejpam-1472	138	38	′′i	′′i	NOUN
ejpam-1472	138	39	(	(	PUNCT
ejpam-1472	138	40	z	z	NOUN
ejpam-1472	138	41	)	)	PUNCT
ejpam-1472	138	42	g	g	PROPN
ejpam-1472	138	43	′i(z	′i(z	PROPN
ejpam-1472	138	44	)	)	PUNCT
ejpam-1472	138	45	+	+	CCONJ
ejpam-1472	138	46	1	1	NUM
ejpam-1472	138	47	�	�	PROPN
ejpam-1472	138	48	−ηi	−ηi	SYM
ejpam-1472	138	49	�	�	PROPN
ejpam-1472	138	50	+	+	CCONJ
ejpam-1472	138	51	1	1	X
ejpam-1472	138	52	.	.	X
ejpam-1472	139	1	v.	v.	ADP
ejpam-1472	139	2	macarie	macarie	NOUN
ejpam-1472	139	3	,	,	PUNCT
ejpam-1472	139	4	d.	d.	PROPN
ejpam-1472	139	5	breaz	breaz	PROPN
ejpam-1472	139	6	/	/	SYM
ejpam-1472	139	7	eur	eur	PROPN
ejpam-1472	139	8	.	.	PUNCT
ejpam-1472	140	1	j.	j.	PROPN
ejpam-1472	140	2	pure	pure	PROPN
ejpam-1472	140	3	appl	appl	PROPN
ejpam-1472	140	4	.	.	PROPN
ejpam-1472	140	5	math	math	PROPN
ejpam-1472	140	6	,	,	PUNCT
ejpam-1472	140	7	6	6	NUM
ejpam-1472	140	8	(	(	PUNCT
ejpam-1472	140	9	2013	2013	NUM
ejpam-1472	140	10	)	)	PUNCT
ejpam-1472	140	11	,	,	PUNCT
ejpam-1472	140	12	307	307	NUM
ejpam-1472	140	13	-	-	SYM
ejpam-1472	140	14	314	314	NUM
ejpam-1472	140	15	313	313	NUM
ejpam-1472	140	16	we	we	PRON
ejpam-1472	140	17	calculate	calculate	VERB
ejpam-1472	140	18	the	the	DET
ejpam-1472	140	19	real	real	ADJ
ejpam-1472	140	20	part	part	NOUN
ejpam-1472	140	21	from	from	ADP
ejpam-1472	140	22	both	both	DET
ejpam-1472	140	23	terms	term	NOUN
ejpam-1472	140	24	of	of	ADP
ejpam-1472	140	25	the	the	DET
ejpam-1472	140	26	above	above	ADJ
ejpam-1472	140	27	expression	expression	NOUN
ejpam-1472	140	28	and	and	CCONJ
ejpam-1472	140	29	obtain	obtain	VERB
ejpam-1472	140	30	re	re	PRON
ejpam-1472	140	31	�	�	PROPN
ejpam-1472	140	32	zg′′n	zg′′n	X
ejpam-1472	140	33	(	(	PUNCT
ejpam-1472	140	34	z	z	NOUN
ejpam-1472	140	35	)	)	PUNCT
ejpam-1472	140	36	g′n(z	g′n(z	NOUN
ejpam-1472	140	37	)	)	PUNCT
ejpam-1472	141	1	+	+	CCONJ
ejpam-1472	141	2	1	1	NUM
ejpam-1472	141	3	�	�	NOUN
ejpam-1472	141	4	=	=	SYM
ejpam-1472	141	5	n	n	PROPN
ejpam-1472	141	6	∑	∑	PROPN
ejpam-1472	141	7	i=1	i=1	PROPN
ejpam-1472	141	8	(	(	PUNCT
ejpam-1472	141	9	γi	γi	INTJ
ejpam-1472	141	10	−	−	VERB
ejpam-1472	141	11	1)re	1)re	PROPN
ejpam-1472	141	12	�	�	PROPN
ejpam-1472	141	13	z	z	PROPN
ejpam-1472	141	14	f	f	PROPN
ejpam-1472	141	15	′i	′i	NOUN
ejpam-1472	141	16	(	(	PUNCT
ejpam-1472	141	17	z	z	NOUN
ejpam-1472	141	18	)	)	PUNCT
ejpam-1472	141	19	fi(z	fi(z	PROPN
ejpam-1472	141	20	)	)	PUNCT
ejpam-1472	141	21	−	−	PROPN
ejpam-1472	141	22	εi	εi	VERB
ejpam-1472	141	23	�	�	PROPN
ejpam-1472	141	24	+	+	CCONJ
ejpam-1472	141	25	n	n	CCONJ
ejpam-1472	141	26	∑	∑	PROPN
ejpam-1472	141	27	i=1	i=1	PROPN
ejpam-1472	141	28	(	(	PUNCT
ejpam-1472	141	29	γi	γi	INTJ
ejpam-1472	141	30	−	−	PROPN
ejpam-1472	141	31	1)εi	1)εi	PROPN
ejpam-1472	141	32	+	+	CCONJ
ejpam-1472	141	33	n	n	CCONJ
ejpam-1472	141	34	∑	∑	ADP
ejpam-1472	141	35	i=1	i=1	PROPN
ejpam-1472	141	36	ηire	ηire	PROPN
ejpam-1472	141	37	�	�	PROPN
ejpam-1472	141	38	zg	zg	PROPN
ejpam-1472	141	39	′′i	′′i	NOUN
ejpam-1472	141	40	(	(	PUNCT
ejpam-1472	141	41	z	z	NOUN
ejpam-1472	141	42	)	)	PUNCT
ejpam-1472	141	43	g	g	PROPN
ejpam-1472	141	44	′i(z	′i(z	PROPN
ejpam-1472	141	45	)	)	PUNCT
ejpam-1472	141	46	+	+	CCONJ
ejpam-1472	141	47	1	1	NUM
ejpam-1472	141	48	�	�	PROPN
ejpam-1472	141	49	−	−	NOUN
ejpam-1472	141	50	n	n	NOUN
ejpam-1472	141	51	∑	∑	ADV
ejpam-1472	141	52	i=1	i=1	PROPN
ejpam-1472	141	53	ηi	ηi	X
ejpam-1472	142	1	+	+	NOUN
ejpam-1472	142	2	1	1	X
ejpam-1472	142	3	.	.	PUNCT
ejpam-1472	142	4	(	(	PUNCT
ejpam-1472	142	5	7	7	NUM
ejpam-1472	142	6	)	)	PUNCT
ejpam-1472	142	7	from	from	ADP
ejpam-1472	142	8	(	(	PUNCT
ejpam-1472	142	9	7	7	NUM
ejpam-1472	142	10	)	)	PUNCT
ejpam-1472	142	11	,	,	PUNCT
ejpam-1472	142	12	using	use	VERB
ejpam-1472	142	13	that	that	DET
ejpam-1472	142	14	fi	fi	NOUN
ejpam-1472	142	15	∈	∈	PROPN
ejpam-1472	142	16	ρi	ρi	NOUN
ejpam-1472	142	17	−	−	PROPN
ejpam-1472	142	18	sp(εi	sp(εi	PROPN
ejpam-1472	142	19	)	)	PUNCT
ejpam-1472	142	20	and	and	CCONJ
ejpam-1472	142	21	gi	gi	NOUN
ejpam-1472	142	22	∈	∈	PROPN
ejpam-1472	142	23	kd(µi	kd(µi	PROPN
ejpam-1472	142	24	,	,	PUNCT
ejpam-1472	142	25	αi	αi	NOUN
ejpam-1472	142	26	)	)	PUNCT
ejpam-1472	142	27	for	for	ADP
ejpam-1472	142	28	all	all	DET
ejpam-1472	142	29	i	i	NOUN
ejpam-1472	142	30	=	=	SYM
ejpam-1472	142	31	1,2	1,2	NUM
ejpam-1472	142	32	,	,	PUNCT
ejpam-1472	142	33	.	.	PUNCT
ejpam-1472	142	34	.	.	PUNCT
ejpam-1472	143	1	.	.	PUNCT
ejpam-1472	144	1	,	,	PUNCT
ejpam-1472	144	2	n	n	CCONJ
ejpam-1472	144	3	,	,	PUNCT
ejpam-1472	144	4	we	we	PRON
ejpam-1472	144	5	have	have	AUX
ejpam-1472	144	6	re	re	VERB
ejpam-1472	144	7	�	�	PROPN
ejpam-1472	144	8	zg′′n	zg′′n	X
ejpam-1472	144	9	(	(	PUNCT
ejpam-1472	144	10	z	z	NOUN
ejpam-1472	144	11	)	)	PUNCT
ejpam-1472	144	12	g′n(z	g′n(z	NOUN
ejpam-1472	144	13	)	)	PUNCT
ejpam-1472	145	1	+	+	CCONJ
ejpam-1472	146	1	1	1	NUM
ejpam-1472	146	2	�	�	PROPN
ejpam-1472	146	3	≥	≥	PROPN
ejpam-1472	146	4	n	n	CCONJ
ejpam-1472	146	5	∑	∑	PROPN
ejpam-1472	146	6	i=1	i=1	PROPN
ejpam-1472	146	7	(	(	PUNCT
ejpam-1472	146	8	γi	γi	INTJ
ejpam-1472	146	9	−	−	PROPN
ejpam-1472	146	10	1)ρi	1)ρi	PROPN
ejpam-1472	146	11	�	�	PROPN
ejpam-1472	146	12	�	�	PROPN
ejpam-1472	146	13	�	�	PROPN
ejpam-1472	146	14	�	�	PROPN
ejpam-1472	146	15	�	�	PROPN
ejpam-1472	146	16	z	z	PROPN
ejpam-1472	146	17	f	f	PROPN
ejpam-1472	146	18	′i	′i	NOUN
ejpam-1472	146	19	(	(	PUNCT
ejpam-1472	146	20	z	z	NOUN
ejpam-1472	146	21	)	)	PUNCT
ejpam-1472	146	22	fi(z	fi(z	PROPN
ejpam-1472	146	23	)	)	PUNCT
ejpam-1472	146	24	−	−	PROPN
ejpam-1472	146	25	1	1	NUM
ejpam-1472	146	26	�	�	PROPN
ejpam-1472	146	27	�	�	PROPN
ejpam-1472	146	28	�	�	PROPN
ejpam-1472	146	29	�	�	PROPN
ejpam-1472	146	30	�	�	PROPN
ejpam-1472	146	31	+	+	CCONJ
ejpam-1472	146	32	n	n	CCONJ
ejpam-1472	146	33	∑	∑	PROPN
ejpam-1472	146	34	i=1	i=1	PROPN
ejpam-1472	146	35	(	(	PUNCT
ejpam-1472	146	36	γi	γi	INTJ
ejpam-1472	146	37	−	−	PROPN
ejpam-1472	146	38	1)εi	1)εi	PROPN
ejpam-1472	146	39	+	+	CCONJ
ejpam-1472	146	40	n	n	CCONJ
ejpam-1472	146	41	∑	∑	ADP
ejpam-1472	146	42	i=1	i=1	PROPN
ejpam-1472	146	43	ηi	ηi	PROPN
ejpam-1472	146	44	µi	µi	PROPN
ejpam-1472	146	45	�	�	PROPN
ejpam-1472	146	46	�	�	PROPN
ejpam-1472	146	47	�	�	PROPN
ejpam-1472	146	48	�	�	PROPN
ejpam-1472	146	49	�	�	PROPN
ejpam-1472	146	50	zg	zg	PROPN
ejpam-1472	146	51	′′i	′′i	NOUN
ejpam-1472	146	52	(	(	PUNCT
ejpam-1472	146	53	z	z	NOUN
ejpam-1472	146	54	)	)	PUNCT
ejpam-1472	146	55	g	g	PROPN
ejpam-1472	146	56	′i(z	′i(z	PROPN
ejpam-1472	146	57	)	)	PUNCT
ejpam-1472	146	58	�	�	PROPN
ejpam-1472	146	59	�	�	PROPN
ejpam-1472	146	60	�	�	PROPN
ejpam-1472	146	61	�	�	PROPN
ejpam-1472	146	62	�	�	PROPN
ejpam-1472	146	63	+	+	PROPN
ejpam-1472	146	64	αi	αi	X
ejpam-1472	146	65	!	!	PUNCT
ejpam-1472	147	1	−	−	PROPN
ejpam-1472	148	1	n	n	CCONJ
ejpam-1472	148	2	∑	∑	ADV
ejpam-1472	148	3	i=1	i=1	PROPN
ejpam-1472	148	4	ηi	ηi	X
ejpam-1472	149	1	+	+	NOUN
ejpam-1472	149	2	1	1	X
ejpam-1472	149	3	.	.	PUNCT
ejpam-1472	149	4	then	then	ADV
ejpam-1472	149	5	re	re	VERB
ejpam-1472	149	6	�	�	PROPN
ejpam-1472	149	7	zg′′n	zg′′n	X
ejpam-1472	149	8	(	(	PUNCT
ejpam-1472	149	9	z	z	NOUN
ejpam-1472	149	10	)	)	PUNCT
ejpam-1472	149	11	g′n(z	g′n(z	NOUN
ejpam-1472	149	12	)	)	PUNCT
ejpam-1472	150	1	+	+	CCONJ
ejpam-1472	151	1	1	1	NUM
ejpam-1472	151	2	�	�	PROPN
ejpam-1472	151	3	≥	≥	PROPN
ejpam-1472	151	4	n	n	CCONJ
ejpam-1472	151	5	∑	∑	PROPN
ejpam-1472	151	6	i=1	i=1	PROPN
ejpam-1472	151	7	(	(	PUNCT
ejpam-1472	151	8	γi	γi	INTJ
ejpam-1472	151	9	−	−	PROPN
ejpam-1472	151	10	1)ρi	1)ρi	PROPN
ejpam-1472	151	11	�	�	PROPN
ejpam-1472	151	12	�	�	PROPN
ejpam-1472	151	13	�	�	PROPN
ejpam-1472	151	14	�	�	PROPN
ejpam-1472	151	15	�	�	PROPN
ejpam-1472	151	16	z	z	PROPN
ejpam-1472	151	17	f	f	PROPN
ejpam-1472	151	18	′i	′i	NOUN
ejpam-1472	151	19	(	(	PUNCT
ejpam-1472	151	20	z	z	NOUN
ejpam-1472	151	21	)	)	PUNCT
ejpam-1472	151	22	fi(z	fi(z	PROPN
ejpam-1472	151	23	)	)	PUNCT
ejpam-1472	151	24	−	−	PROPN
ejpam-1472	151	25	1	1	NUM
ejpam-1472	151	26	�	�	PROPN
ejpam-1472	151	27	�	�	PROPN
ejpam-1472	151	28	�	�	PROPN
ejpam-1472	151	29	�	�	PROPN
ejpam-1472	151	30	�	�	PROPN
ejpam-1472	151	31	+	+	CCONJ
ejpam-1472	151	32	n	n	CCONJ
ejpam-1472	151	33	∑	∑	PROPN
ejpam-1472	151	34	i=1	i=1	PROPN
ejpam-1472	151	35	(	(	PUNCT
ejpam-1472	151	36	γi	γi	INTJ
ejpam-1472	151	37	−	−	PROPN
ejpam-1472	151	38	1)εi	1)εi	PROPN
ejpam-1472	151	39	+	+	CCONJ
ejpam-1472	151	40	n	n	CCONJ
ejpam-1472	151	41	∑	∑	ADP
ejpam-1472	151	42	i=1	i=1	PROPN
ejpam-1472	151	43	ηiµi	ηiµi	PROPN
ejpam-1472	151	44	�	�	PROPN
ejpam-1472	151	45	�	�	PROPN
ejpam-1472	151	46	�	�	PROPN
ejpam-1472	151	47	�	�	PROPN
ejpam-1472	151	48	�	�	PROPN
ejpam-1472	151	49	zg	zg	PROPN
ejpam-1472	151	50	′′i	′′i	NOUN
ejpam-1472	151	51	(	(	PUNCT
ejpam-1472	151	52	z	z	NOUN
ejpam-1472	151	53	)	)	PUNCT
ejpam-1472	151	54	g	g	PROPN
ejpam-1472	151	55	′i(z	′i(z	PROPN
ejpam-1472	151	56	)	)	PUNCT
ejpam-1472	151	57	�	�	PROPN
ejpam-1472	151	58	�	�	PROPN
ejpam-1472	151	59	�	�	PROPN
ejpam-1472	151	60	�	�	PROPN
ejpam-1472	151	61	�	�	PROPN
ejpam-1472	151	62	+	+	CCONJ
ejpam-1472	151	63	n	n	CCONJ
ejpam-1472	151	64	∑	∑	ADP
ejpam-1472	151	65	i=1	i=1	PROPN
ejpam-1472	151	66	ηi	ηi	PROPN
ejpam-1472	151	67	�	�	PROPN
ejpam-1472	151	68	αi	αi	PART
ejpam-1472	151	69	−	−	PROPN
ejpam-1472	151	70	1	1	NUM
ejpam-1472	151	71	�	�	PROPN
ejpam-1472	151	72	+	+	CCONJ
ejpam-1472	151	73	1	1	NUM
ejpam-1472	151	74	.	.	PUNCT
ejpam-1472	151	75	(	(	PUNCT
ejpam-1472	151	76	8)	8)	NUM
ejpam-1472	151	77	since	since	SCONJ
ejpam-1472	151	78	(	(	PUNCT
ejpam-1472	151	79	γi	γi	INTJ
ejpam-1472	151	80	−	−	PROPN
ejpam-1472	151	81	1)ρi	1)ρi	PROPN
ejpam-1472	151	82	�	�	PROPN
ejpam-1472	151	83	�	�	PROPN
ejpam-1472	151	84	�	�	PROPN
ejpam-1472	151	85	�	�	PROPN
ejpam-1472	151	86	�	�	PROPN
ejpam-1472	151	87	z	z	PROPN
ejpam-1472	151	88	f	f	PROPN
ejpam-1472	151	89	′i	′i	NOUN
ejpam-1472	151	90	(	(	PUNCT
ejpam-1472	151	91	z	z	NOUN
ejpam-1472	151	92	)	)	PUNCT
ejpam-1472	151	93	fi(z	fi(z	PROPN
ejpam-1472	151	94	)	)	PUNCT
ejpam-1472	151	95	−	−	PROPN
ejpam-1472	151	96	1	1	NUM
ejpam-1472	151	97	�	�	PROPN
ejpam-1472	151	98	�	�	PROPN
ejpam-1472	151	99	�	�	PROPN
ejpam-1472	151	100	�	�	PROPN
ejpam-1472	151	101	�	�	PROPN
ejpam-1472	151	102	>	>	SYM
ejpam-1472	151	103	0	0	NUM
ejpam-1472	152	1	and	and	CCONJ
ejpam-1472	152	2	ηiµi	ηiµi	PROPN
ejpam-1472	152	3	�	�	PROPN
ejpam-1472	152	4	�	�	PROPN
ejpam-1472	152	5	�	�	PROPN
ejpam-1472	152	6	�	�	PROPN
ejpam-1472	152	7	�	�	PROPN
ejpam-1472	152	8	zg	zg	PROPN
ejpam-1472	152	9	′′i	′′i	NOUN
ejpam-1472	152	10	(	(	PUNCT
ejpam-1472	152	11	z	z	NOUN
ejpam-1472	152	12	)	)	PUNCT
ejpam-1472	152	13	g	g	PROPN
ejpam-1472	152	14	′i(z	′i(z	PROPN
ejpam-1472	152	15	)	)	PUNCT
ejpam-1472	152	16	�	�	PROPN
ejpam-1472	152	17	�	�	PROPN
ejpam-1472	152	18	�	�	PROPN
ejpam-1472	152	19	�	�	PROPN
ejpam-1472	152	20	�	�	PROPN
ejpam-1472	152	21	≥	≥	PROPN
ejpam-1472	152	22	0	0	NUM
ejpam-1472	152	23	for	for	ADP
ejpam-1472	152	24	all	all	DET
ejpam-1472	152	25	i	i	NOUN
ejpam-1472	152	26	=	=	SYM
ejpam-1472	152	27	1,2	1,2	NUM
ejpam-1472	152	28	,	,	PUNCT
ejpam-1472	152	29	.	.	PUNCT
ejpam-1472	152	30	.	.	PUNCT
ejpam-1472	152	31	.	.	PUNCT
ejpam-1472	153	1	,	,	PUNCT
ejpam-1472	153	2	n	n	CCONJ
ejpam-1472	153	3	,	,	PUNCT
ejpam-1472	153	4	we	we	PRON
ejpam-1472	153	5	obtain	obtain	VERB
ejpam-1472	153	6	from	from	ADP
ejpam-1472	153	7	(	(	PUNCT
ejpam-1472	153	8	8)	8)	NUM
ejpam-1472	153	9	that	that	PRON
ejpam-1472	153	10	re	re	ADP
ejpam-1472	153	11	�	�	PROPN
ejpam-1472	153	12	zg′′n	zg′′n	X
ejpam-1472	153	13	(	(	PUNCT
ejpam-1472	153	14	z	z	NOUN
ejpam-1472	153	15	)	)	PUNCT
ejpam-1472	153	16	g′n(z	g′n(z	NOUN
ejpam-1472	153	17	)	)	PUNCT
ejpam-1472	154	1	+	+	CCONJ
ejpam-1472	154	2	1	1	NUM
ejpam-1472	154	3	�	�	PROPN
ejpam-1472	154	4	>	>	X
ejpam-1472	154	5	n	n	PROPN
ejpam-1472	154	6	∑	∑	PROPN
ejpam-1472	154	7	i=1	i=1	PROPN
ejpam-1472	154	8	�	�	PROPN
ejpam-1472	154	9	(	(	PUNCT
ejpam-1472	154	10	γi	γi	ADP
ejpam-1472	154	11	−	−	NUM
ejpam-1472	154	12	1)εi	1)εi	NUM
ejpam-1472	155	1	+	+	NOUN
ejpam-1472	155	2	ηi(αi	ηi(αi	NOUN
ejpam-1472	155	3	−	−	ADJ
ejpam-1472	155	4	1	1	X
ejpam-1472	155	5	)	)	PUNCT
ejpam-1472	155	6	�	�	NOUN
ejpam-1472	155	7	+	+	CCONJ
ejpam-1472	155	8	1=	1=	NUM
ejpam-1472	155	9	δ	δ	X
ejpam-1472	155	10	.	.	PUNCT
ejpam-1472	156	1	this	this	PRON
ejpam-1472	156	2	completes	complete	VERB
ejpam-1472	156	3	the	the	DET
ejpam-1472	156	4	proof	proof	NOUN
ejpam-1472	156	5	of	of	ADP
ejpam-1472	156	6	our	our	PRON
ejpam-1472	156	7	theorem	theorem	NOUN
ejpam-1472	156	8	.	.	PUNCT
ejpam-1472	157	1	letting	let	VERB
ejpam-1472	157	2	n	n	NOUN
ejpam-1472	157	3	=	=	SYM
ejpam-1472	157	4	1	1	NUM
ejpam-1472	157	5	,	,	PUNCT
ejpam-1472	157	6	γ1	γ1	NOUN
ejpam-1472	157	7	=	=	SYM
ejpam-1472	157	8	γ	γ	X
ejpam-1472	157	9	,	,	PUNCT
ejpam-1472	157	10	η1	η1	NOUN
ejpam-1472	157	11	=	=	SYM
ejpam-1472	157	12	η	η	PROPN
ejpam-1472	157	13	,	,	PUNCT
ejpam-1472	157	14	ρ1	ρ1	NOUN
ejpam-1472	157	15	=	=	SYM
ejpam-1472	157	16	ρ	ρ	PROPN
ejpam-1472	157	17	,	,	PUNCT
ejpam-1472	157	18	ε1	ε1	PROPN
ejpam-1472	157	19	=	=	SYM
ejpam-1472	157	20	ε	ε	PROPN
ejpam-1472	157	21	,	,	PUNCT
ejpam-1472	157	22	µ1	µ1	PROPN
ejpam-1472	157	23	=	=	SYM
ejpam-1472	157	24	µ	µ	NOUN
ejpam-1472	157	25	,	,	PUNCT
ejpam-1472	157	26	α1	α1	PROPN
ejpam-1472	157	27	=	=	SYM
ejpam-1472	157	28	α	α	PROPN
ejpam-1472	157	29	,	,	PUNCT
ejpam-1472	157	30	f1	f1	NOUN
ejpam-1472	157	31	=	=	SYM
ejpam-1472	157	32	f	f	PROPN
ejpam-1472	157	33	and	and	CCONJ
ejpam-1472	157	34	g1	g1	PROPN
ejpam-1472	157	35	=	=	PUNCT
ejpam-1472	157	36	g	g	PROPN
ejpam-1472	157	37	in	in	ADP
ejpam-1472	157	38	theorem	theorem	NOUN
ejpam-1472	157	39	3	3	NUM
ejpam-1472	157	40	,	,	PUNCT
ejpam-1472	157	41	we	we	PRON
ejpam-1472	157	42	have	have	VERB
ejpam-1472	157	43	corollary	corollary	ADJ
ejpam-1472	157	44	6	6	NUM
ejpam-1472	157	45	.	.	PUNCT
ejpam-1472	158	1	let	let	VERB
ejpam-1472	158	2	γ	γ	PROPN
ejpam-1472	158	3	∈	∈	PROPN
ejpam-1472	158	4	r	r	NOUN
ejpam-1472	158	5	,	,	PUNCT
ejpam-1472	158	6	γ	γ	X
ejpam-1472	158	7	>	>	X
ejpam-1472	158	8	1	1	NUM
ejpam-1472	158	9	,	,	PUNCT
ejpam-1472	158	10	η	η	PROPN
ejpam-1472	158	11	∈	∈	PROPN
ejpam-1472	158	12	r	r	PROPN
ejpam-1472	158	13	,	,	PUNCT
ejpam-1472	158	14	η	η	PROPN
ejpam-1472	158	15	>	>	X
ejpam-1472	158	16	0	0	PROPN
ejpam-1472	158	17	,	,	PUNCT
ejpam-1472	158	18	the	the	DET
ejpam-1472	158	19	functions	function	NOUN
ejpam-1472	158	20	f	f	PROPN
ejpam-1472	158	21	∈	∈	PROPN
ejpam-1472	158	22	ρ	ρ	PROPN
ejpam-1472	158	23	−	−	PROPN
ejpam-1472	158	24	sp(ε	sp(ε	NOUN
ejpam-1472	158	25	)	)	PUNCT
ejpam-1472	158	26	,	,	PUNCT
ejpam-1472	158	27	−1	−1	NOUN
ejpam-1472	158	28	≤	≤	PUNCT
ejpam-1472	158	29	ε	ε	PROPN
ejpam-1472	158	30	≤	≤	NUM
ejpam-1472	158	31	1	1	NUM
ejpam-1472	158	32	,	,	PUNCT
ejpam-1472	158	33	ρ	ρ	PROPN
ejpam-1472	158	34	>	>	X
ejpam-1472	158	35	0	0	NUM
ejpam-1472	158	36	and	and	CCONJ
ejpam-1472	158	37	g	g	PROPN
ejpam-1472	158	38	∈	∈	PROPN
ejpam-1472	158	39	kd(µ,α	kd(µ,α	NOUN
ejpam-1472	158	40	)	)	PUNCT
ejpam-1472	158	41	,	,	PUNCT
ejpam-1472	158	42	0≤	0≤	NUM
ejpam-1472	158	43	α	α	PRON
ejpam-1472	158	44	<	<	X
ejpam-1472	158	45	1	1	NUM
ejpam-1472	158	46	,	,	PUNCT
ejpam-1472	158	47	µ≥	µ≥	PROPN
ejpam-1472	158	48	0	0	NUM
ejpam-1472	158	49	.	.	PUNCT
ejpam-1472	159	1	if	if	SCONJ
ejpam-1472	159	2	0	0	NUM
ejpam-1472	159	3	<	<	X
ejpam-1472	159	4	(	(	PUNCT
ejpam-1472	159	5	1−	1−	NUM
ejpam-1472	159	6	γ)ε+η(1−α)≤	γ)ε+η(1−α)≤	SYM
ejpam-1472	159	7	1	1	NUM
ejpam-1472	159	8	then	then	ADV
ejpam-1472	159	9	the	the	DET
ejpam-1472	159	10	integral	integral	ADJ
ejpam-1472	159	11	operator	operator	NOUN
ejpam-1472	159	12	g1(z	g1(z	PROPN
ejpam-1472	159	13	)	)	PUNCT
ejpam-1472	159	14	=	=	SYM
ejpam-1472	159	15	∫	∫	PROPN
ejpam-1472	159	16	z	z	PROPN
ejpam-1472	159	17	0	0	NUM
ejpam-1472	159	18	�	�	PROPN
ejpam-1472	159	19	f	f	PROPN
ejpam-1472	159	20	(	(	PUNCT
ejpam-1472	159	21	t	t	PROPN
ejpam-1472	159	22	)	)	PUNCT
ejpam-1472	159	23	�	�	PROPN
ejpam-1472	160	1	γ−1	γ−1	PROPN
ejpam-1472	160	2	(	(	PUNCT
ejpam-1472	160	3	g	g	NOUN
ejpam-1472	160	4	′(t))ηdt	′(t))ηdt	PROPN
ejpam-1472	160	5	is	be	AUX
ejpam-1472	160	6	in	in	ADP
ejpam-1472	160	7	k(δ	k(δ	PROPN
ejpam-1472	160	8	)	)	PUNCT
ejpam-1472	160	9	,	,	PUNCT
ejpam-1472	160	10	where	where	SCONJ
ejpam-1472	160	11	δ	δ	PROPN
ejpam-1472	160	12	=	=	SYM
ejpam-1472	160	13	1	1	NUM
ejpam-1472	160	14	+	+	CCONJ
ejpam-1472	160	15	(	(	PUNCT
ejpam-1472	160	16	γ−	γ−	NUM
ejpam-1472	160	17	1)ε+η(α−	1)ε+η(α−	NOUN
ejpam-1472	160	18	1	1	NUM
ejpam-1472	160	19	)	)	PUNCT
ejpam-1472	160	20	.	.	PUNCT
ejpam-1472	161	1	letting	let	VERB
ejpam-1472	161	2	γ=	γ=	PROPN
ejpam-1472	161	3	2	2	NUM
ejpam-1472	161	4	and	and	CCONJ
ejpam-1472	161	5	η=	η=	ADJ
ejpam-1472	161	6	1	1	NUM
ejpam-1472	161	7	in	in	ADP
ejpam-1472	161	8	corollary	corollary	ADJ
ejpam-1472	161	9	6	6	NUM
ejpam-1472	161	10	,	,	PUNCT
ejpam-1472	161	11	we	we	PRON
ejpam-1472	161	12	have	have	VERB
ejpam-1472	161	13	references	reference	NOUN
ejpam-1472	161	14	314	314	NUM
ejpam-1472	161	15	corollary	corollary	ADJ
ejpam-1472	161	16	7	7	NUM
ejpam-1472	161	17	.	.	PUNCT
ejpam-1472	162	1	let	let	VERB
ejpam-1472	162	2	the	the	DET
ejpam-1472	162	3	functions	function	NOUN
ejpam-1472	162	4	f	f	PROPN
ejpam-1472	162	5	∈	∈	PROPN
ejpam-1472	162	6	ρ−sp(ε	ρ−sp(ε	NUM
ejpam-1472	162	7	)	)	PUNCT
ejpam-1472	162	8	,	,	PUNCT
ejpam-1472	162	9	−1≤	−1≤	PROPN
ejpam-1472	162	10	ε	ε	PROPN
ejpam-1472	162	11	≤	≤	NUM
ejpam-1472	162	12	1	1	NUM
ejpam-1472	162	13	,	,	PUNCT
ejpam-1472	162	14	ρ	ρ	PROPN
ejpam-1472	162	15	>	>	X
ejpam-1472	162	16	0	0	NUM
ejpam-1472	163	1	and	and	CCONJ
ejpam-1472	163	2	g	g	PROPN
ejpam-1472	163	3	∈	∈	PROPN
ejpam-1472	163	4	kd(µ,α	kd(µ,α	NOUN
ejpam-1472	163	5	)	)	PUNCT
ejpam-1472	163	6	,	,	PUNCT
ejpam-1472	163	7	0≤	0≤	NUM
ejpam-1472	163	8	α	α	PRON
ejpam-1472	163	9	<	<	X
ejpam-1472	163	10	1	1	NUM
ejpam-1472	163	11	,	,	PUNCT
ejpam-1472	163	12	µ≥	µ≥	PROPN
ejpam-1472	163	13	0	0	NUM
ejpam-1472	163	14	.	.	PUNCT
ejpam-1472	164	1	if	if	SCONJ
ejpam-1472	164	2	0	0	NUM
ejpam-1472	164	3	<	<	X
ejpam-1472	164	4	1−α−	1−α−	PROPN
ejpam-1472	164	5	ε	ε	PROPN
ejpam-1472	164	6	≤	≤	NUM
ejpam-1472	164	7	1	1	NUM
ejpam-1472	164	8	then	then	ADV
ejpam-1472	164	9	the	the	DET
ejpam-1472	164	10	integral	integral	ADJ
ejpam-1472	164	11	operator	operator	NOUN
ejpam-1472	164	12	g(z	g(z	PROPN
ejpam-1472	164	13	)	)	PUNCT
ejpam-1472	164	14	=	=	SYM
ejpam-1472	165	1	∫	∫	PROPN
ejpam-1472	165	2	z	z	NOUN
ejpam-1472	165	3	0	0	NUM
ejpam-1472	166	1	f	f	X
ejpam-1472	166	2	(	(	PUNCT
ejpam-1472	166	3	t)g	t)g	ADJ
ejpam-1472	166	4	′(t)dt	′(t)dt	PROPN
ejpam-1472	166	5	is	be	AUX
ejpam-1472	166	6	in	in	ADP
ejpam-1472	166	7	k(δ	k(δ	PROPN
ejpam-1472	166	8	)	)	PUNCT
ejpam-1472	166	9	,	,	PUNCT
ejpam-1472	166	10	where	where	SCONJ
ejpam-1472	166	11	δ	δ	PROPN
ejpam-1472	166	12	=	=	SYM
ejpam-1472	166	13	ε+α	ε+α	PROPN
ejpam-1472	166	14	.	.	PUNCT
ejpam-1472	167	1	references	reference	NOUN
ejpam-1472	167	2	[	[	X
ejpam-1472	167	3	1	1	NUM
ejpam-1472	167	4	]	]	PUNCT
ejpam-1472	167	5	m	m	VERB
ejpam-1472	167	6	darus	darus	NOUN
ejpam-1472	167	7	.	.	PUNCT
ejpam-1472	168	1	certain	certain	ADJ
ejpam-1472	168	2	class	class	NOUN
ejpam-1472	168	3	of	of	ADP
ejpam-1472	168	4	uniformly	uniformly	ADV
ejpam-1472	168	5	analytic	analytic	ADJ
ejpam-1472	168	6	functions	function	NOUN
ejpam-1472	168	7	.	.	PUNCT
ejpam-1472	169	1	acta	acta	PROPN
ejpam-1472	169	2	mathematica	mathematica	PROPN
ejpam-1472	169	3	academiae	academiae	PROPN
ejpam-1472	169	4	pedagogicae	pedagogicae	PROPN
ejpam-1472	169	5	nyregyhaziensis	nyregyhaziensis	NOUN
ejpam-1472	169	6	,	,	PUNCT
ejpam-1472	169	7	24:354	24:354	NUM
ejpam-1472	169	8	-	-	SYM
ejpam-1472	169	9	358	358	NUM
ejpam-1472	169	10	,	,	PUNCT
ejpam-1472	169	11	2008	2008	NUM
ejpam-1472	169	12	.	.	PUNCT
ejpam-1472	170	1	[	[	X
ejpam-1472	170	2	2	2	NUM
ejpam-1472	170	3	]	]	SYM
ejpam-1472	170	4	b	b	NOUN
ejpam-1472	170	5	a	a	DET
ejpam-1472	170	6	frasin	frasin	NOUN
ejpam-1472	170	7	and	and	CCONJ
ejpam-1472	170	8	j	j	PROPN
ejpam-1472	170	9	m	m	NOUN
ejpam-1472	170	10	jahangiri	jahangiri	ADV
ejpam-1472	170	11	.	.	PUNCT
ejpam-1472	171	1	a	a	DET
ejpam-1472	171	2	new	new	ADJ
ejpam-1472	171	3	and	and	CCONJ
ejpam-1472	171	4	comprehensive	comprehensive	ADJ
ejpam-1472	171	5	class	class	NOUN
ejpam-1472	171	6	of	of	ADP
ejpam-1472	171	7	analytic	analytic	ADJ
ejpam-1472	171	8	functions	function	NOUN
ejpam-1472	171	9	.	.	PUNCT
ejpam-1472	172	1	annals	annal	NOUN
ejpam-1472	172	2	of	of	ADP
ejpam-1472	172	3	oradea	oradea	PROPN
ejpam-1472	172	4	university	university	PROPN
ejpam-1472	172	5	-	-	PUNCT
ejpam-1472	172	6	mathematics	mathematics	NOUN
ejpam-1472	172	7	fascicola	fascicola	NOUN
ejpam-1472	172	8	,	,	PUNCT
ejpam-1472	172	9	xv:59	xv:59	PROPN
ejpam-1472	172	10	-	-	PUNCT
ejpam-1472	172	11	62	62	NUM
ejpam-1472	172	12	,	,	PUNCT
ejpam-1472	172	13	2008	2008	NUM
ejpam-1472	172	14	.	.	PUNCT
ejpam-1472	173	1	[	[	X
ejpam-1472	173	2	3	3	X
ejpam-1472	173	3	]	]	X
ejpam-1472	173	4	o	o	X
ejpam-1472	173	5	mayer	mayer	PROPN
ejpam-1472	173	6	.	.	PUNCT
ejpam-1472	174	1	the	the	DET
ejpam-1472	174	2	functions	function	NOUN
ejpam-1472	174	3	theory	theory	NOUN
ejpam-1472	174	4	of	of	ADP
ejpam-1472	174	5	one	one	NUM
ejpam-1472	174	6	variable	variable	ADJ
ejpam-1472	174	7	complex	complex	NOUN
ejpam-1472	174	8	.	.	PUNCT
ejpam-1472	175	1	bucuresti	bucuresti	PROPN
ejpam-1472	175	2	,	,	PUNCT
ejpam-1472	175	3	1981	1981	NUM
ejpam-1472	175	4	.	.	PUNCT
ejpam-1472	176	1	[	[	X
ejpam-1472	176	2	4	4	X
ejpam-1472	176	3	]	]	X
ejpam-1472	176	4	a	a	DET
ejpam-1472	176	5	mohammed	mohammed	PROPN
ejpam-1472	176	6	,	,	PUNCT
ejpam-1472	176	7	m	m	NOUN
ejpam-1472	176	8	darus	darus	NOUN
ejpam-1472	176	9	,	,	PUNCT
ejpam-1472	176	10	and	and	CCONJ
ejpam-1472	176	11	d	d	ADP
ejpam-1472	176	12	breaz	breaz	NOUN
ejpam-1472	176	13	,	,	PUNCT
ejpam-1472	176	14	some	some	DET
ejpam-1472	176	15	properties	property	NOUN
ejpam-1472	176	16	for	for	ADP
ejpam-1472	176	17	certain	certain	ADJ
ejpam-1472	176	18	integral	integral	ADJ
ejpam-1472	176	19	operators	operator	NOUN
ejpam-1472	176	20	.	.	PUNCT
ejpam-1472	177	1	acta	acta	PROPN
ejpam-1472	177	2	universitatis	universitatis	PROPN
ejpam-1472	177	3	apulensis	apulensis	NOUN
ejpam-1472	177	4	,	,	PUNCT
ejpam-1472	177	5	23:79	23:79	NUM
ejpam-1472	177	6	-	-	SYM
ejpam-1472	177	7	89	89	NUM
ejpam-1472	177	8	,	,	PUNCT
ejpam-1472	177	9	2010	2010	NUM
ejpam-1472	177	10	.	.	PUNCT
ejpam-1472	178	1	[	[	X
ejpam-1472	178	2	5	5	NUM
ejpam-1472	178	3	]	]	X
ejpam-1472	178	4	s	s	VERB
ejpam-1472	178	5	owa	owa	NOUN
ejpam-1472	178	6	and	and	CCONJ
ejpam-1472	178	7	h	h	NOUN
ejpam-1472	178	8	m	m	PROPN
ejpam-1472	178	9	srivastava	srivastava	PROPN
ejpam-1472	178	10	.	.	PUNCT
ejpam-1472	179	1	some	some	DET
ejpam-1472	179	2	generalized	generalized	ADJ
ejpam-1472	179	3	convolution	convolution	NOUN
ejpam-1472	179	4	properties	property	NOUN
ejpam-1472	179	5	associated	associate	VERB
ejpam-1472	179	6	with	with	ADP
ejpam-1472	179	7	certain	certain	ADJ
ejpam-1472	179	8	subclasses	subclass	NOUN
ejpam-1472	179	9	of	of	ADP
ejpam-1472	179	10	analytic	analytic	ADJ
ejpam-1472	179	11	functions	function	NOUN
ejpam-1472	179	12	.	.	PUNCT
ejpam-1472	180	1	journal	journal	PROPN
ejpam-1472	180	2	of	of	ADP
ejpam-1472	180	3	inequalities	inequality	NOUN
ejpam-1472	180	4	in	in	ADP
ejpam-1472	180	5	pure	pure	ADJ
ejpam-1472	180	6	and	and	CCONJ
ejpam-1472	180	7	applied	applied	ADJ
ejpam-1472	180	8	mathematics	mathematic	NOUN
ejpam-1472	180	9	,	,	PUNCT
ejpam-1472	180	10	3(3):42:1	3(3):42:1	PROPN
ejpam-1472	180	11	-	-	SYM
ejpam-1472	180	12	13	13	NUM
ejpam-1472	180	13	,	,	PUNCT
ejpam-1472	180	14	2003	2003	NUM
ejpam-1472	180	15	.	.	PUNCT
ejpam-1472	181	1	[	[	X
ejpam-1472	181	2	6	6	NUM
ejpam-1472	181	3	]	]	PUNCT
ejpam-1472	181	4	s	s	X
ejpam-1472	181	5	shams	sham	NOUN
ejpam-1472	181	6	,	,	PUNCT
ejpam-1472	181	7	s	s	NOUN
ejpam-1472	181	8	r	r	NOUN
ejpam-1472	181	9	kulkarni	kulkarni	NOUN
ejpam-1472	181	10	,	,	PUNCT
ejpam-1472	181	11	and	and	CCONJ
ejpam-1472	181	12	j	j	PROPN
ejpam-1472	181	13	m	m	VERB
ejpam-1472	181	14	jahangiri	jahangiri	ADV
ejpam-1472	181	15	.	.	PUNCT
ejpam-1472	182	1	classes	class	NOUN
ejpam-1472	182	2	of	of	ADP
ejpam-1472	182	3	uniformly	uniformly	ADJ
ejpam-1472	182	4	starlike	starlike	NOUN
ejpam-1472	182	5	and	and	CCONJ
ejpam-1472	182	6	convex	convex	NOUN
ejpam-1472	182	7	functions	function	NOUN
ejpam-1472	182	8	.	.	PUNCT
ejpam-1472	183	1	international	international	ADJ
ejpam-1472	183	2	journal	journal	PROPN
ejpam-1472	183	3	of	of	ADP
ejpam-1472	183	4	mathematics	mathematics	PROPN
ejpam-1472	183	5	and	and	CCONJ
ejpam-1472	183	6	mathematical	mathematical	ADJ
ejpam-1472	183	7	sciences	science	NOUN
ejpam-1472	183	8	,	,	PUNCT
ejpam-1472	183	9	55:2959	55:2959	NOUN
ejpam-1472	183	10	-	-	SYM
ejpam-1472	183	11	2961	2961	NUM
ejpam-1472	183	12	,	,	PUNCT
ejpam-1472	183	13	2004	2004	NUM
ejpam-1472	183	14	.	.	PUNCT