id	sid	tid	token	lemma	pos
ejpam-597	1	1	3_597_aouf.dvi	3_597_aouf.dvi	NUM
ejpam-597	1	2	european	european	ADJ
ejpam-597	1	3	journal	journal	NOUN
ejpam-597	1	4	of	of	ADP
ejpam-597	1	5	pure	pure	ADJ
ejpam-597	1	6	and	and	CCONJ
ejpam-597	1	7	applied	apply	VERB
ejpam-597	1	8	mathematics	mathematic	NOUN
ejpam-597	1	9	vol	vol	NOUN
ejpam-597	1	10	.	.	PUNCT
ejpam-597	2	1	3	3	NUM
ejpam-597	2	2	,	,	PUNCT
ejpam-597	2	3	no	no	INTJ
ejpam-597	2	4	.	.	NOUN
ejpam-597	2	5	4	4	NUM
ejpam-597	2	6	,	,	PUNCT
ejpam-597	2	7	2010	2010	NUM
ejpam-597	2	8	,	,	PUNCT
ejpam-597	2	9	641	641	NUM
ejpam-597	2	10	-	-	SYM
ejpam-597	2	11	652	652	NUM
ejpam-597	2	12	issn	issn	PROPN
ejpam-597	2	13	1307	1307	NUM
ejpam-597	2	14	-	-	SYM
ejpam-597	2	15	5543	5543	NUM
ejpam-597	2	16	–	–	PUNCT
ejpam-597	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-597	3	1	some	some	DET
ejpam-597	3	2	sandwich	sandwich	NOUN
ejpam-597	3	3	theorems	theorem	VERB
ejpam-597	3	4	for	for	ADP
ejpam-597	3	5	certain	certain	ADJ
ejpam-597	3	6	analytic	analytic	ADJ
ejpam-597	3	7	functions	function	NOUN
ejpam-597	3	8	defined	define	VERB
ejpam-597	3	9	by	by	ADP
ejpam-597	3	10	convolution	convolution	NOUN
ejpam-597	3	11	m.	m.	PROPN
ejpam-597	3	12	k.	k.	PROPN
ejpam-597	3	13	aouf∗	aouf∗	PROPN
ejpam-597	3	14	and	and	CCONJ
ejpam-597	3	15	a.	a.	PROPN
ejpam-597	3	16	o.	o.	PROPN
ejpam-597	3	17	mostafa	mostafa	PROPN
ejpam-597	3	18	department	department	PROPN
ejpam-597	3	19	of	of	ADP
ejpam-597	3	20	mathematics	mathematics	PROPN
ejpam-597	3	21	,	,	PUNCT
ejpam-597	3	22	faculty	faculty	NOUN
ejpam-597	3	23	of	of	ADP
ejpam-597	3	24	science	science	NOUN
ejpam-597	3	25	,	,	PUNCT
ejpam-597	3	26	mansoura	mansoura	PROPN
ejpam-597	3	27	university	university	NOUN
ejpam-597	3	28	,	,	PUNCT
ejpam-597	3	29	mansoura	mansoura	PROPN
ejpam-597	3	30	35516	35516	NUM
ejpam-597	3	31	,	,	PUNCT
ejpam-597	3	32	egypt	egypt	PROPN
ejpam-597	3	33	abstract	abstract	PROPN
ejpam-597	3	34	.	.	PUNCT
ejpam-597	4	1	in	in	ADP
ejpam-597	4	2	this	this	DET
ejpam-597	4	3	paper	paper	NOUN
ejpam-597	4	4	,	,	PUNCT
ejpam-597	4	5	we	we	PRON
ejpam-597	4	6	obtain	obtain	VERB
ejpam-597	4	7	some	some	DET
ejpam-597	4	8	applications	application	NOUN
ejpam-597	4	9	of	of	ADP
ejpam-597	4	10	first	first	ADJ
ejpam-597	4	11	order	order	NOUN
ejpam-597	4	12	differential	differential	ADJ
ejpam-597	4	13	subordination	subordination	NOUN
ejpam-597	4	14	and	and	CCONJ
ejpam-597	4	15	superordination	superordination	NOUN
ejpam-597	4	16	results	result	NOUN
ejpam-597	4	17	for	for	ADP
ejpam-597	4	18	some	some	DET
ejpam-597	4	19	analytic	analytic	ADJ
ejpam-597	4	20	functions	function	NOUN
ejpam-597	4	21	defined	define	VERB
ejpam-597	4	22	by	by	ADP
ejpam-597	4	23	convolution	convolution	NOUN
ejpam-597	4	24	.	.	PUNCT
ejpam-597	5	1	2000	2000	NUM
ejpam-597	5	2	mathematics	mathematic	NOUN
ejpam-597	5	3	subject	subject	NOUN
ejpam-597	5	4	classifications	classification	NOUN
ejpam-597	5	5	:	:	PUNCT
ejpam-597	5	6	30c45	30c45	NUM
ejpam-597	5	7	key	key	ADJ
ejpam-597	5	8	words	word	NOUN
ejpam-597	5	9	and	and	CCONJ
ejpam-597	5	10	phrases	phrase	NOUN
ejpam-597	5	11	:	:	PUNCT
ejpam-597	5	12	analytic	analytic	ADJ
ejpam-597	5	13	functions	function	NOUN
ejpam-597	5	14	,	,	PUNCT
ejpam-597	5	15	differential	differential	ADJ
ejpam-597	5	16	subordination	subordination	NOUN
ejpam-597	5	17	,	,	PUNCT
ejpam-597	5	18	superordination	superordination	NOUN
ejpam-597	5	19	,	,	PUNCT
ejpam-597	5	20	sandwich	sandwich	NOUN
ejpam-597	5	21	theorems	theorem	NOUN
ejpam-597	5	22	,	,	PUNCT
ejpam-597	5	23	convolution	convolution	NOUN
ejpam-597	5	24	.	.	PUNCT
ejpam-597	6	1	1	1	X
ejpam-597	6	2	.	.	X
ejpam-597	6	3	introduction	introduction	NOUN
ejpam-597	6	4	let	let	VERB
ejpam-597	6	5	s	s	PRON
ejpam-597	6	6	denote	denote	VERB
ejpam-597	6	7	the	the	DET
ejpam-597	6	8	class	class	NOUN
ejpam-597	6	9	of	of	ADP
ejpam-597	6	10	functions	function	NOUN
ejpam-597	6	11	of	of	ADP
ejpam-597	6	12	the	the	DET
ejpam-597	6	13	form	form	NOUN
ejpam-597	6	14	:	:	PUNCT
ejpam-597	6	15	f	f	PROPN
ejpam-597	6	16	(	(	PUNCT
ejpam-597	6	17	z	z	NOUN
ejpam-597	6	18	)	)	PUNCT
ejpam-597	6	19	=	=	SYM
ejpam-597	7	1	z	z	NOUN
ejpam-597	8	1	+	+	NOUN
ejpam-597	8	2	∞∑	∞∑	DET
ejpam-597	8	3	k=2	k=2	PROPN
ejpam-597	8	4	akzk	akzk	NOUN
ejpam-597	8	5	,	,	PUNCT
ejpam-597	8	6	(	(	PUNCT
ejpam-597	8	7	1	1	X
ejpam-597	8	8	)	)	PUNCT
ejpam-597	8	9	which	which	PRON
ejpam-597	8	10	are	be	AUX
ejpam-597	8	11	analytic	analytic	ADJ
ejpam-597	8	12	and	and	CCONJ
ejpam-597	8	13	univalent	univalent	ADJ
ejpam-597	8	14	in	in	ADP
ejpam-597	8	15	the	the	DET
ejpam-597	8	16	open	open	ADJ
ejpam-597	8	17	unit	unit	NOUN
ejpam-597	8	18	disk	disk	NOUN
ejpam-597	8	19	u	u	NOUN
ejpam-597	8	20	=	=	PUNCT
ejpam-597	8	21	{	{	PUNCT
ejpam-597	8	22	z	z	NOUN
ejpam-597	8	23	:	:	PUNCT
ejpam-597	8	24	z	z	PROPN
ejpam-597	8	25	∈	∈	PROPN
ejpam-597	8	26	c	c	NOUN
ejpam-597	8	27	,	,	PUNCT
ejpam-597	8	28	|z|	|z|	VERB
ejpam-597	8	29	<	<	X
ejpam-597	8	30	1	1	NUM
ejpam-597	8	31	}	}	PUNCT
ejpam-597	8	32	.	.	PUNCT
ejpam-597	9	1	if	if	SCONJ
ejpam-597	9	2	f	f	PROPN
ejpam-597	9	3	and	and	CCONJ
ejpam-597	9	4	g	g	PROPN
ejpam-597	9	5	are	be	AUX
ejpam-597	9	6	analytic	analytic	ADJ
ejpam-597	9	7	functions	function	NOUN
ejpam-597	9	8	in	in	ADP
ejpam-597	9	9	u	u	PROPN
ejpam-597	9	10	,	,	PUNCT
ejpam-597	9	11	we	we	PRON
ejpam-597	9	12	say	say	VERB
ejpam-597	9	13	that	that	SCONJ
ejpam-597	9	14	f	f	PROPN
ejpam-597	9	15	is	be	AUX
ejpam-597	9	16	subordinate	subordinate	ADJ
ejpam-597	9	17	to	to	ADP
ejpam-597	9	18	g	g	NOUN
ejpam-597	9	19	,	,	PUNCT
ejpam-597	9	20	written	write	VERB
ejpam-597	9	21	f	f	PROPN
ejpam-597	9	22	≺	≺	VERB
ejpam-597	9	23	g	g	NOUN
ejpam-597	9	24	if	if	SCONJ
ejpam-597	9	25	there	there	PRON
ejpam-597	9	26	exists	exist	VERB
ejpam-597	9	27	a	a	DET
ejpam-597	9	28	schwarz	schwarz	PROPN
ejpam-597	9	29	function	function	PROPN
ejpam-597	9	30	w	w	PROPN
ejpam-597	9	31	,	,	PUNCT
ejpam-597	9	32	which	which	PRON
ejpam-597	9	33	(	(	PUNCT
ejpam-597	9	34	by	by	ADP
ejpam-597	9	35	definition	definition	NOUN
ejpam-597	9	36	)	)	PUNCT
ejpam-597	9	37	is	be	AUX
ejpam-597	9	38	analytic	analytic	ADJ
ejpam-597	9	39	in	in	ADP
ejpam-597	9	40	u	u	NOUN
ejpam-597	9	41	with	with	ADP
ejpam-597	9	42	w(0	w(0	PROPN
ejpam-597	9	43	)	)	PUNCT
ejpam-597	9	44	=	=	SYM
ejpam-597	9	45	0	0	NUM
ejpam-597	9	46	and	and	CCONJ
ejpam-597	9	47	|w(z)|	|w(z)|	VERB
ejpam-597	9	48	<	<	X
ejpam-597	9	49	1	1	NUM
ejpam-597	9	50	for	for	ADP
ejpam-597	9	51	all	all	DET
ejpam-597	9	52	z	z	NOUN
ejpam-597	9	53	∈	∈	PROPN
ejpam-597	9	54	u	u	NOUN
ejpam-597	9	55	,	,	PUNCT
ejpam-597	9	56	such	such	ADJ
ejpam-597	9	57	that	that	SCONJ
ejpam-597	9	58	f	f	PROPN
ejpam-597	9	59	(	(	PUNCT
ejpam-597	9	60	z	z	NOUN
ejpam-597	9	61	)	)	PUNCT
ejpam-597	9	62	=	=	PUNCT
ejpam-597	9	63	g(w(z	g(w(z	PROPN
ejpam-597	9	64	)	)	PUNCT
ejpam-597	9	65	)	)	PUNCT
ejpam-597	9	66	,	,	PUNCT
ejpam-597	9	67	z	z	PROPN
ejpam-597	9	68	∈	∈	PROPN
ejpam-597	9	69	u	u	NOUN
ejpam-597	9	70	.	.	PUNCT
ejpam-597	10	1	furthermore	furthermore	ADV
ejpam-597	10	2	,	,	PUNCT
ejpam-597	10	3	if	if	SCONJ
ejpam-597	10	4	the	the	DET
ejpam-597	10	5	function	function	NOUN
ejpam-597	10	6	g	g	PROPN
ejpam-597	10	7	is	be	AUX
ejpam-597	10	8	univalent	univalent	ADJ
ejpam-597	10	9	in	in	ADP
ejpam-597	10	10	u	u	PROPN
ejpam-597	10	11	,	,	PUNCT
ejpam-597	10	12	then	then	ADV
ejpam-597	10	13	we	we	PRON
ejpam-597	10	14	have	have	VERB
ejpam-597	10	15	the	the	DET
ejpam-597	10	16	following	following	ADJ
ejpam-597	10	17	equivalence	equivalence	NOUN
ejpam-597	10	18	:	:	PUNCT
ejpam-597	10	19	f	f	PROPN
ejpam-597	10	20	(	(	PUNCT
ejpam-597	10	21	z	z	NOUN
ejpam-597	10	22	)	)	PUNCT
ejpam-597	10	23	≺	≺	NOUN
ejpam-597	10	24	g(z	g(z	PROPN
ejpam-597	10	25	)	)	PUNCT
ejpam-597	10	26	(	(	PUNCT
ejpam-597	10	27	z	z	NOUN
ejpam-597	10	28	∈	∈	PROPN
ejpam-597	11	1	u)⇔	u)⇔	PROPN
ejpam-597	11	2	f	f	X
ejpam-597	11	3	(	(	PUNCT
ejpam-597	11	4	0	0	NUM
ejpam-597	11	5	)	)	PUNCT
ejpam-597	11	6	=	=	SYM
ejpam-597	11	7	g(0	g(0	PROPN
ejpam-597	11	8	)	)	PUNCT
ejpam-597	11	9	and	and	CCONJ
ejpam-597	11	10	f	f	PROPN
ejpam-597	11	11	(	(	PUNCT
ejpam-597	11	12	u)⊂	u)⊂	CCONJ
ejpam-597	11	13	g(u	g(u	NOUN
ejpam-597	11	14	)	)	PUNCT
ejpam-597	11	15	.	.	PUNCT
ejpam-597	12	1	let	let	VERB
ejpam-597	12	2	h(u	h(u	PROPN
ejpam-597	12	3	)	)	PUNCT
ejpam-597	12	4	denote	denote	VERB
ejpam-597	12	5	the	the	DET
ejpam-597	12	6	class	class	NOUN
ejpam-597	12	7	of	of	ADP
ejpam-597	12	8	analytic	analytic	ADJ
ejpam-597	12	9	functions	function	NOUN
ejpam-597	12	10	in	in	ADP
ejpam-597	12	11	u	u	NOUN
ejpam-597	12	12	and	and	CCONJ
ejpam-597	12	13	let	let	VERB
ejpam-597	12	14	h[a	h[a	NOUN
ejpam-597	12	15	,	,	PUNCT
ejpam-597	12	16	1	1	NUM
ejpam-597	12	17	]	]	PUNCT
ejpam-597	12	18	denote	denote	VERB
ejpam-597	12	19	the	the	DET
ejpam-597	12	20	subclass	subclass	NOUN
ejpam-597	12	21	of	of	ADP
ejpam-597	12	22	the	the	DET
ejpam-597	12	23	functions	function	NOUN
ejpam-597	12	24	f	f	PROPN
ejpam-597	12	25	∈	∈	PROPN
ejpam-597	12	26	h(u	h(u	PROPN
ejpam-597	12	27	)	)	PUNCT
ejpam-597	12	28	of	of	ADP
ejpam-597	12	29	the	the	DET
ejpam-597	12	30	form	form	NOUN
ejpam-597	12	31	:	:	PUNCT
ejpam-597	12	32	f	f	PROPN
ejpam-597	12	33	(	(	PUNCT
ejpam-597	12	34	z	z	NOUN
ejpam-597	12	35	)	)	PUNCT
ejpam-597	12	36	=	=	NOUN
ejpam-597	12	37	a+	a+	PUNCT
ejpam-597	12	38	a1z	a1z	PROPN
ejpam-597	12	39	+	+	CCONJ
ejpam-597	12	40	a2z2	a2z2	X
ejpam-597	12	41	+	+	PUNCT
ejpam-597	12	42	.	.	PUNCT
ejpam-597	12	43	.	.	PUNCT
ejpam-597	12	44	.	.	PUNCT
ejpam-597	13	1	(	(	PUNCT
ejpam-597	13	2	a	a	DET
ejpam-597	13	3	∈	∈	PROPN
ejpam-597	13	4	c	c	NOUN
ejpam-597	13	5	)	)	PUNCT
ejpam-597	13	6	.	.	PUNCT
ejpam-597	14	1	∗corresponding	∗corresponde	VERB
ejpam-597	14	2	author	author	NOUN
ejpam-597	14	3	.	.	PUNCT
ejpam-597	15	1	email	email	NOUN
ejpam-597	15	2	addresses	address	NOUN
ejpam-597	15	3	:	:	PUNCT
ejpam-597	15	4	mkaouf127	mkaouf127	PROPN
ejpam-597	15	5	�	�	PROPN
ejpam-597	15	6	yahoo	yahoo	PROPN
ejpam-597	15	7	.	.	PUNCT
ejpam-597	16	1	om	om	PROPN
ejpam-597	16	2	(	(	PUNCT
ejpam-597	16	3	m.	m.	PROPN
ejpam-597	16	4	aouf	aouf	PROPN
ejpam-597	16	5	)	)	PUNCT
ejpam-597	16	6	,	,	PUNCT
ejpam-597	16	7	adelaeg254	adelaeg254	PROPN
ejpam-597	16	8	�	�	PROPN
ejpam-597	16	9	yahoo	yahoo	PROPN
ejpam-597	16	10	.	.	PUNCT
ejpam-597	17	1	om	om	PROPN
ejpam-597	17	2	(	(	PUNCT
ejpam-597	17	3	a.	a.	PROPN
ejpam-597	17	4	mostafa	mostafa	PROPN
ejpam-597	17	5	)	)	PUNCT
ejpam-597	17	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-597	18	1	641	641	NUM
ejpam-597	18	2	c	c	NOUN
ejpam-597	18	3	©	©	PROPN
ejpam-597	18	4	2010	2010	NUM
ejpam-597	18	5	ejpam	ejpam	NOUN
ejpam-597	18	6	all	all	DET
ejpam-597	18	7	rights	right	NOUN
ejpam-597	18	8	reserved	reserve	VERB
ejpam-597	18	9	.	.	PUNCT
ejpam-597	19	1	m.	m.	PROPN
ejpam-597	19	2	aouf	aouf	PROPN
ejpam-597	19	3	and	and	CCONJ
ejpam-597	19	4	a.	a.	PROPN
ejpam-597	19	5	mostafa	mostafa	PROPN
ejpam-597	19	6	/	/	SYM
ejpam-597	19	7	eur	eur	PROPN
ejpam-597	19	8	.	.	PUNCT
ejpam-597	20	1	j.	j.	PROPN
ejpam-597	20	2	pure	pure	PROPN
ejpam-597	20	3	appl	appl	PROPN
ejpam-597	20	4	.	.	PROPN
ejpam-597	20	5	math	math	PROPN
ejpam-597	20	6	,	,	PUNCT
ejpam-597	20	7	3	3	NUM
ejpam-597	20	8	(	(	PUNCT
ejpam-597	20	9	2010	2010	NUM
ejpam-597	20	10	)	)	PUNCT
ejpam-597	20	11	,	,	PUNCT
ejpam-597	20	12	641	641	NUM
ejpam-597	20	13	-	-	SYM
ejpam-597	20	14	652	652	NUM
ejpam-597	20	15	642	642	NUM
ejpam-597	20	16	supposing	suppose	VERB
ejpam-597	20	17	that	that	SCONJ
ejpam-597	20	18	h	h	NOUN
ejpam-597	20	19	and	and	CCONJ
ejpam-597	20	20	g	g	PROPN
ejpam-597	20	21	are	be	AUX
ejpam-597	20	22	two	two	NUM
ejpam-597	20	23	analytic	analytic	ADJ
ejpam-597	20	24	functions	function	NOUN
ejpam-597	20	25	in	in	ADP
ejpam-597	20	26	u	u	NOUN
ejpam-597	20	27	,	,	PUNCT
ejpam-597	20	28	let	let	VERB
ejpam-597	20	29	ϕ(r	ϕ(r	PROPN
ejpam-597	20	30	,	,	PUNCT
ejpam-597	20	31	s	s	PROPN
ejpam-597	20	32	,	,	PUNCT
ejpam-597	20	33	t	t	PROPN
ejpam-597	20	34	;	;	PUNCT
ejpam-597	20	35	z	z	X
ejpam-597	20	36	)	)	PUNCT
ejpam-597	20	37	:	:	PUNCT
ejpam-597	21	1	c3	c3	PROPN
ejpam-597	21	2	×u→	×u→	PROPN
ejpam-597	21	3	c	c	PROPN
ejpam-597	21	4	.	.	PUNCT
ejpam-597	22	1	if	if	SCONJ
ejpam-597	22	2	h	h	NOUN
ejpam-597	22	3	and	and	CCONJ
ejpam-597	22	4	ϕ(h(z	ϕ(h(z	PROPN
ejpam-597	22	5	)	)	PUNCT
ejpam-597	22	6	,	,	PUNCT
ejpam-597	22	7	zh′(z	zh′(z	PROPN
ejpam-597	22	8	)	)	PUNCT
ejpam-597	22	9	,	,	PUNCT
ejpam-597	22	10	z2h	z2h	PUNCT
ejpam-597	22	11	′′	′′	PROPN
ejpam-597	22	12	(	(	PUNCT
ejpam-597	22	13	z	z	PROPN
ejpam-597	22	14	)	)	PUNCT
ejpam-597	22	15	;	;	PUNCT
ejpam-597	22	16	z	z	X
ejpam-597	22	17	)	)	PUNCT
ejpam-597	22	18	are	be	AUX
ejpam-597	22	19	univalent	univalent	ADJ
ejpam-597	22	20	functions	function	NOUN
ejpam-597	22	21	in	in	ADP
ejpam-597	22	22	u	u	NOUN
ejpam-597	22	23	and	and	CCONJ
ejpam-597	22	24	if	if	SCONJ
ejpam-597	22	25	h	h	NOUN
ejpam-597	22	26	satisfies	satisfy	VERB
ejpam-597	22	27	the	the	DET
ejpam-597	22	28	secondorder	secondorder	ADJ
ejpam-597	22	29	superordination	superordination	NOUN
ejpam-597	22	30	g(z	g(z	PROPN
ejpam-597	22	31	)	)	PUNCT
ejpam-597	22	32	≺	≺	NOUN
ejpam-597	22	33	ϕ(h(z	ϕ(h(z	PROPN
ejpam-597	22	34	)	)	PUNCT
ejpam-597	22	35	,	,	PUNCT
ejpam-597	22	36	zh′(z	zh′(z	PROPN
ejpam-597	22	37	)	)	PUNCT
ejpam-597	22	38	,	,	PUNCT
ejpam-597	22	39	z2h	z2h	PUNCT
ejpam-597	22	40	′′	′′	PROPN
ejpam-597	22	41	(	(	PUNCT
ejpam-597	22	42	z	z	PROPN
ejpam-597	22	43	)	)	PUNCT
ejpam-597	22	44	;	;	PUNCT
ejpam-597	22	45	z	z	X
ejpam-597	22	46	)	)	PUNCT
ejpam-597	22	47	,	,	PUNCT
ejpam-597	22	48	(	(	PUNCT
ejpam-597	22	49	2	2	X
ejpam-597	22	50	)	)	PUNCT
ejpam-597	22	51	then	then	ADV
ejpam-597	22	52	g	g	PROPN
ejpam-597	22	53	is	be	AUX
ejpam-597	22	54	a	a	DET
ejpam-597	22	55	solution	solution	NOUN
ejpam-597	22	56	of	of	ADP
ejpam-597	22	57	the	the	DET
ejpam-597	22	58	differential	differential	ADJ
ejpam-597	22	59	superordination	superordination	NOUN
ejpam-597	22	60	(	(	PUNCT
ejpam-597	22	61	2	2	NUM
ejpam-597	22	62	)	)	PUNCT
ejpam-597	22	63	.	.	PUNCT
ejpam-597	23	1	a	a	DET
ejpam-597	23	2	function	function	NOUN
ejpam-597	23	3	g	g	PROPN
ejpam-597	23	4	∈	∈	PROPN
ejpam-597	23	5	h(u	h(u	PROPN
ejpam-597	23	6	)	)	PUNCT
ejpam-597	23	7	is	be	AUX
ejpam-597	23	8	called	call	VERB
ejpam-597	23	9	a	a	DET
ejpam-597	23	10	subordinant	subordinant	NOUN
ejpam-597	23	11	of	of	ADP
ejpam-597	23	12	(	(	PUNCT
ejpam-597	23	13	2	2	NUM
ejpam-597	23	14	)	)	PUNCT
ejpam-597	23	15	,	,	PUNCT
ejpam-597	23	16	if	if	SCONJ
ejpam-597	23	17	q(z	q(z	PROPN
ejpam-597	23	18	)	)	PUNCT
ejpam-597	23	19	≺	≺	NOUN
ejpam-597	23	20	h(z	h(z	NOUN
ejpam-597	23	21	)	)	PUNCT
ejpam-597	23	22	for	for	ADP
ejpam-597	23	23	all	all	DET
ejpam-597	23	24	the	the	DET
ejpam-597	23	25	functions	function	NOUN
ejpam-597	23	26	h	h	NOUN
ejpam-597	23	27	satisfying	satisfy	VERB
ejpam-597	23	28	(	(	PUNCT
ejpam-597	23	29	2	2	NUM
ejpam-597	23	30	)	)	PUNCT
ejpam-597	23	31	.	.	PUNCT
ejpam-597	24	1	a	a	DET
ejpam-597	24	2	univalent	univalent	ADJ
ejpam-597	24	3	subordinant	subordinant	NOUN
ejpam-597	24	4	eq	eq	NOUN
ejpam-597	24	5	that	that	PRON
ejpam-597	24	6	satisfies	satisfy	VERB
ejpam-597	24	7	q(z	q(z	PROPN
ejpam-597	24	8	)	)	PUNCT
ejpam-597	24	9	≺	≺	NOUN
ejpam-597	24	10	eq(z	eq(z	NUM
ejpam-597	24	11	)	)	PUNCT
ejpam-597	24	12	for	for	ADP
ejpam-597	24	13	all	all	PRON
ejpam-597	24	14	of	of	ADP
ejpam-597	24	15	the	the	DET
ejpam-597	24	16	subordinants	subordinant	NOUN
ejpam-597	24	17	q	q	PROPN
ejpam-597	24	18	of	of	ADP
ejpam-597	24	19	(	(	PUNCT
ejpam-597	24	20	2	2	NUM
ejpam-597	24	21	)	)	PUNCT
ejpam-597	24	22	,	,	PUNCT
ejpam-597	24	23	is	be	AUX
ejpam-597	24	24	said	say	VERB
ejpam-597	24	25	to	to	PART
ejpam-597	24	26	be	be	AUX
ejpam-597	24	27	the	the	DET
ejpam-597	24	28	best	good	ADJ
ejpam-597	24	29	subordinant	subordinant	NOUN
ejpam-597	24	30	.	.	PUNCT
ejpam-597	25	1	recently	recently	ADV
ejpam-597	25	2	,	,	PUNCT
ejpam-597	25	3	miller	miller	PROPN
ejpam-597	25	4	and	and	CCONJ
ejpam-597	25	5	mocanu	mocanu	NOUN
ejpam-597	25	6	[	[	X
ejpam-597	25	7	15	15	NUM
ejpam-597	25	8	]	]	PUNCT
ejpam-597	25	9	obtained	obtain	VERB
ejpam-597	25	10	sufficient	sufficient	ADJ
ejpam-597	25	11	conditions	condition	NOUN
ejpam-597	25	12	on	on	ADP
ejpam-597	25	13	the	the	DET
ejpam-597	25	14	functions	function	NOUN
ejpam-597	25	15	g	g	NOUN
ejpam-597	25	16	,	,	PUNCT
ejpam-597	25	17	q	q	NOUN
ejpam-597	25	18	and	and	CCONJ
ejpam-597	25	19	ϕ	ϕ	NOUN
ejpam-597	25	20	for	for	ADP
ejpam-597	25	21	which	which	PRON
ejpam-597	25	22	the	the	DET
ejpam-597	25	23	following	follow	VERB
ejpam-597	25	24	implication	implication	NOUN
ejpam-597	25	25	holds	hold	VERB
ejpam-597	25	26	:	:	PUNCT
ejpam-597	25	27	g(z	g(z	ADJ
ejpam-597	25	28	)	)	PUNCT
ejpam-597	25	29	≺	≺	NOUN
ejpam-597	25	30	ϕ(h(z	ϕ(h(z	PROPN
ejpam-597	25	31	)	)	PUNCT
ejpam-597	25	32	,	,	PUNCT
ejpam-597	25	33	zh′(z	zh′(z	PROPN
ejpam-597	25	34	)	)	PUNCT
ejpam-597	25	35	,	,	PUNCT
ejpam-597	25	36	z2h	z2h	PUNCT
ejpam-597	25	37	′′	′′	PROPN
ejpam-597	25	38	(	(	PUNCT
ejpam-597	25	39	z	z	PROPN
ejpam-597	25	40	)	)	PUNCT
ejpam-597	25	41	;	;	PUNCT
ejpam-597	25	42	z)⇒	z)⇒	PROPN
ejpam-597	25	43	q(z	q(z	PROPN
ejpam-597	25	44	)	)	PUNCT
ejpam-597	25	45	≺	≺	NOUN
ejpam-597	25	46	h(z	h(z	NOUN
ejpam-597	25	47	)	)	PUNCT
ejpam-597	25	48	.	.	PUNCT
ejpam-597	26	1	using	use	VERB
ejpam-597	26	2	the	the	DET
ejpam-597	26	3	results	result	NOUN
ejpam-597	26	4	of	of	ADP
ejpam-597	26	5	miller	miller	NOUN
ejpam-597	26	6	and	and	CCONJ
ejpam-597	26	7	mocanu	mocanu	NOUN
ejpam-597	27	1	[	[	X
ejpam-597	27	2	15	15	NUM
ejpam-597	27	3	]	]	PUNCT
ejpam-597	27	4	,	,	PUNCT
ejpam-597	27	5	bulboaca	bulboaca	NOUN
ejpam-597	27	6	[	[	X
ejpam-597	27	7	4	4	X
ejpam-597	27	8	]	]	PUNCT
ejpam-597	27	9	considered	consider	VERB
ejpam-597	27	10	certain	certain	ADJ
ejpam-597	27	11	classes	class	NOUN
ejpam-597	27	12	of	of	ADP
ejpam-597	27	13	first	first	ADJ
ejpam-597	27	14	order	order	NOUN
ejpam-597	27	15	differential	differential	NOUN
ejpam-597	27	16	superordinations	superordination	NOUN
ejpam-597	27	17	as	as	ADV
ejpam-597	27	18	well	well	ADV
ejpam-597	27	19	as	as	ADP
ejpam-597	27	20	superordination	superordination	NOUN
ejpam-597	27	21	-	-	PUNCT
ejpam-597	27	22	preserving	preserve	VERB
ejpam-597	27	23	integral	integral	ADJ
ejpam-597	27	24	operators	operator	NOUN
ejpam-597	27	25	[	[	X
ejpam-597	27	26	5	5	NUM
ejpam-597	27	27	]	]	PUNCT
ejpam-597	27	28	.	.	PUNCT
ejpam-597	28	1	ali	ali	PROPN
ejpam-597	28	2	et	et	PROPN
ejpam-597	28	3	al	al	PROPN
ejpam-597	28	4	.	.	PUNCT
ejpam-597	29	1	[	[	X
ejpam-597	29	2	1	1	NUM
ejpam-597	29	3	]	]	PUNCT
ejpam-597	29	4	,	,	PUNCT
ejpam-597	29	5	have	have	AUX
ejpam-597	29	6	used	use	VERB
ejpam-597	29	7	the	the	DET
ejpam-597	29	8	results	result	NOUN
ejpam-597	29	9	of	of	ADP
ejpam-597	29	10	bulboaca	bulboaca	NOUN
ejpam-597	29	11	[	[	X
ejpam-597	29	12	4	4	X
ejpam-597	29	13	]	]	PUNCT
ejpam-597	29	14	to	to	PART
ejpam-597	29	15	obtain	obtain	VERB
ejpam-597	29	16	sufficient	sufficient	ADJ
ejpam-597	29	17	conditions	condition	NOUN
ejpam-597	29	18	for	for	SCONJ
ejpam-597	29	19	normalized	normalize	VERB
ejpam-597	29	20	analytic	analytic	ADJ
ejpam-597	29	21	functions	function	NOUN
ejpam-597	29	22	to	to	PART
ejpam-597	29	23	satisfy	satisfy	VERB
ejpam-597	29	24	:	:	PUNCT
ejpam-597	29	25	q1(z	q1(z	NUM
ejpam-597	29	26	)	)	PUNCT
ejpam-597	29	27	≺	≺	NOUN
ejpam-597	29	28	z	z	X
ejpam-597	29	29	f	f	PROPN
ejpam-597	29	30	′(z	′(z	NOUN
ejpam-597	29	31	)	)	PUNCT
ejpam-597	29	32	f	f	PROPN
ejpam-597	29	33	(	(	PUNCT
ejpam-597	29	34	z	z	NOUN
ejpam-597	29	35	)	)	PUNCT
ejpam-597	29	36	≺	≺	NOUN
ejpam-597	29	37	q2(z	q2(z	NUM
ejpam-597	29	38	)	)	PUNCT
ejpam-597	29	39	,	,	PUNCT
ejpam-597	29	40	where	where	SCONJ
ejpam-597	29	41	q1	q1	PROPN
ejpam-597	29	42	and	and	CCONJ
ejpam-597	29	43	q2	q2	NOUN
ejpam-597	29	44	are	be	AUX
ejpam-597	29	45	given	give	VERB
ejpam-597	29	46	univalent	univalent	ADJ
ejpam-597	29	47	normalized	normalize	VERB
ejpam-597	29	48	functions	function	NOUN
ejpam-597	29	49	in	in	ADP
ejpam-597	29	50	u.	u.	PROPN
ejpam-597	29	51	very	very	ADV
ejpam-597	29	52	recently	recently	ADV
ejpam-597	29	53	,	,	PUNCT
ejpam-597	29	54	shanmugam	shanmugam	PROPN
ejpam-597	29	55	et	et	PROPN
ejpam-597	29	56	al	al	PROPN
ejpam-597	29	57	.	.	PUNCT
ejpam-597	30	1	[	[	X
ejpam-597	30	2	23	23	NUM
ejpam-597	30	3	]	]	PUNCT
ejpam-597	30	4	obtained	obtain	VERB
ejpam-597	30	5	sufficient	sufficient	ADJ
ejpam-597	30	6	conditions	condition	NOUN
ejpam-597	30	7	for	for	ADP
ejpam-597	30	8	a	a	DET
ejpam-597	30	9	normalized	normalize	VERB
ejpam-597	30	10	analytic	analytic	ADJ
ejpam-597	30	11	function	function	NOUN
ejpam-597	30	12	f	f	PROPN
ejpam-597	30	13	to	to	PART
ejpam-597	30	14	satisfy	satisfy	VERB
ejpam-597	30	15	q1(z)≺	q1(z)≺	PROPN
ejpam-597	31	1	f	f	X
ejpam-597	31	2	(	(	PUNCT
ejpam-597	31	3	z	z	NOUN
ejpam-597	31	4	)	)	PUNCT
ejpam-597	32	1	z	z	PROPN
ejpam-597	32	2	f	f	NOUN
ejpam-597	32	3	′(z	′(z	NOUN
ejpam-597	32	4	)	)	PUNCT
ejpam-597	32	5	≺	≺	NOUN
ejpam-597	32	6	q2(z	q2(z	NUM
ejpam-597	32	7	)	)	PUNCT
ejpam-597	32	8	and	and	CCONJ
ejpam-597	32	9	q1(z	q1(z	PROPN
ejpam-597	32	10	)	)	PUNCT
ejpam-597	32	11	≺	≺	NOUN
ejpam-597	32	12	z2	z2	PROPN
ejpam-597	32	13	f	f	PROPN
ejpam-597	32	14	′(z	′(z	NOUN
ejpam-597	32	15	)	)	PUNCT
ejpam-597	33	1	[	[	PUNCT
ejpam-597	33	2	f	f	X
ejpam-597	33	3	(	(	PUNCT
ejpam-597	33	4	z)]2	z)]2	PROPN
ejpam-597	33	5	≺	≺	NOUN
ejpam-597	33	6	q2(z	q2(z	NUM
ejpam-597	33	7	)	)	PUNCT
ejpam-597	33	8	,	,	PUNCT
ejpam-597	33	9	where	where	SCONJ
ejpam-597	33	10	q1	q1	PROPN
ejpam-597	33	11	and	and	CCONJ
ejpam-597	33	12	q2	q2	NOUN
ejpam-597	33	13	are	be	AUX
ejpam-597	33	14	given	give	VERB
ejpam-597	33	15	univalent	univalent	ADJ
ejpam-597	33	16	functions	function	NOUN
ejpam-597	33	17	in	in	ADP
ejpam-597	33	18	u	u	NOUN
ejpam-597	33	19	with	with	ADP
ejpam-597	33	20	q1(0	q1(0	PROPN
ejpam-597	33	21	)	)	PUNCT
ejpam-597	33	22	=	=	PUNCT
ejpam-597	33	23	q2(0	q2(0	PROPN
ejpam-597	33	24	)	)	PUNCT
ejpam-597	33	25	=	=	SYM
ejpam-597	34	1	1	1	X
ejpam-597	34	2	.	.	X
ejpam-597	34	3	for	for	ADP
ejpam-597	34	4	functions	function	NOUN
ejpam-597	34	5	f	f	NOUN
ejpam-597	34	6	given	give	VERB
ejpam-597	34	7	by	by	ADP
ejpam-597	34	8	(	(	PUNCT
ejpam-597	34	9	1	1	NUM
ejpam-597	34	10	)	)	PUNCT
ejpam-597	34	11	and	and	CCONJ
ejpam-597	34	12	g	g	PROPN
ejpam-597	34	13	∈	∈	NOUN
ejpam-597	34	14	s	s	AUX
ejpam-597	34	15	given	give	VERB
ejpam-597	34	16	by	by	ADP
ejpam-597	34	17	g(z	g(z	PROPN
ejpam-597	34	18	)	)	PUNCT
ejpam-597	34	19	=	=	SYM
ejpam-597	34	20	z+	z+	NUM
ejpam-597	34	21	∞∑	∞∑	NUM
ejpam-597	34	22	k=2	k=2	PROPN
ejpam-597	34	23	bkzk	bkzk	NOUN
ejpam-597	34	24	,	,	PUNCT
ejpam-597	34	25	the	the	DET
ejpam-597	34	26	hadamard	hadamard	ADJ
ejpam-597	34	27	product	product	NOUN
ejpam-597	34	28	(	(	PUNCT
ejpam-597	34	29	or	or	CCONJ
ejpam-597	34	30	convolution	convolution	NOUN
ejpam-597	34	31	)	)	PUNCT
ejpam-597	34	32	of	of	ADP
ejpam-597	34	33	f	f	PROPN
ejpam-597	34	34	and	and	CCONJ
ejpam-597	34	35	g	g	PROPN
ejpam-597	34	36	is	be	AUX
ejpam-597	34	37	defined	define	VERB
ejpam-597	34	38	by	by	ADP
ejpam-597	34	39	(	(	PUNCT
ejpam-597	34	40	f	f	PROPN
ejpam-597	34	41	∗	∗	PROPN
ejpam-597	34	42	g)(z	g)(z	PUNCT
ejpam-597	34	43	)	)	PUNCT
ejpam-597	34	44	=	=	SYM
ejpam-597	35	1	z	z	NOUN
ejpam-597	36	1	+	+	NOUN
ejpam-597	36	2	∞∑	∞∑	NUM
ejpam-597	36	3	k=2	k=2	PROPN
ejpam-597	36	4	ak	ak	PROPN
ejpam-597	36	5	bkzk	bkzk	NOUN
ejpam-597	36	6	=	=	PUNCT
ejpam-597	36	7	(	(	PUNCT
ejpam-597	36	8	g	g	PROPN
ejpam-597	36	9	∗	∗	X
ejpam-597	36	10	f	f	PROPN
ejpam-597	36	11	)	)	PUNCT
ejpam-597	36	12	(	(	PUNCT
ejpam-597	36	13	z	z	NOUN
ejpam-597	36	14	)	)	PUNCT
ejpam-597	36	15	.	.	PUNCT
ejpam-597	37	1	(	(	PUNCT
ejpam-597	37	2	3	3	X
ejpam-597	37	3	)	)	PUNCT
ejpam-597	37	4	we	we	PRON
ejpam-597	37	5	observe	observe	VERB
ejpam-597	37	6	that	that	SCONJ
ejpam-597	37	7	for	for	ADP
ejpam-597	37	8	different	different	ADJ
ejpam-597	37	9	choices	choice	NOUN
ejpam-597	37	10	of	of	ADP
ejpam-597	37	11	the	the	DET
ejpam-597	37	12	function	function	NOUN
ejpam-597	37	13	g	g	NOUN
ejpam-597	37	14	,	,	PUNCT
ejpam-597	37	15	the	the	DET
ejpam-597	37	16	function	function	NOUN
ejpam-597	37	17	(	(	PUNCT
ejpam-597	37	18	f	f	PROPN
ejpam-597	37	19	∗	∗	PROPN
ejpam-597	37	20	g)(z	g)(z	PUNCT
ejpam-597	37	21	)	)	PUNCT
ejpam-597	37	22	reduces	reduce	VERB
ejpam-597	37	23	to	to	ADP
ejpam-597	37	24	several	several	ADJ
ejpam-597	37	25	interesting	interesting	ADJ
ejpam-597	37	26	operators	operator	NOUN
ejpam-597	37	27	.	.	PUNCT
ejpam-597	38	1	for	for	ADP
ejpam-597	38	2	example	example	NOUN
ejpam-597	38	3	,	,	PUNCT
ejpam-597	38	4	if	if	SCONJ
ejpam-597	38	5	g(z	g(z	ADJ
ejpam-597	38	6	)	)	PUNCT
ejpam-597	38	7	=	=	SYM
ejpam-597	39	1	z	z	NOUN
ejpam-597	40	1	+	+	NOUN
ejpam-597	40	2	∞∑	∞∑	NUM
ejpam-597	40	3	k=2	k=2	X
ejpam-597	40	4	(	(	PUNCT
ejpam-597	40	5	a)k−1	a)k−1	PROPN
ejpam-597	40	6	(	(	PUNCT
ejpam-597	40	7	c)k−1	c)k−1	PROPN
ejpam-597	40	8	zk	zk	PROPN
ejpam-597	40	9	(	(	PUNCT
ejpam-597	40	10	c	c	PROPN
ejpam-597	40	11	6=	6=	PROPN
ejpam-597	40	12	0,−1,−2	0,−1,−2	NUM
ejpam-597	40	13	,	,	PUNCT
ejpam-597	40	14	...	...	PUNCT
ejpam-597	40	15	;	;	PUNCT
ejpam-597	40	16	z	z	PROPN
ejpam-597	40	17	∈	∈	PROPN
ejpam-597	40	18	u	u	NOUN
ejpam-597	40	19	)	)	PUNCT
ejpam-597	40	20	,	,	PUNCT
ejpam-597	40	21	(	(	PUNCT
ejpam-597	40	22	4	4	X
ejpam-597	40	23	)	)	PUNCT
ejpam-597	40	24	m.	m.	NOUN
ejpam-597	40	25	aouf	aouf	PROPN
ejpam-597	40	26	and	and	CCONJ
ejpam-597	40	27	a.	a.	PROPN
ejpam-597	40	28	mostafa	mostafa	PROPN
ejpam-597	40	29	/	/	SYM
ejpam-597	40	30	eur	eur	PROPN
ejpam-597	40	31	.	.	PUNCT
ejpam-597	41	1	j.	j.	PROPN
ejpam-597	41	2	pure	pure	PROPN
ejpam-597	41	3	appl	appl	PROPN
ejpam-597	41	4	.	.	PROPN
ejpam-597	41	5	math	math	PROPN
ejpam-597	41	6	,	,	PUNCT
ejpam-597	41	7	3	3	NUM
ejpam-597	41	8	(	(	PUNCT
ejpam-597	41	9	2010	2010	NUM
ejpam-597	41	10	)	)	PUNCT
ejpam-597	41	11	,	,	PUNCT
ejpam-597	41	12	641	641	NUM
ejpam-597	41	13	-	-	SYM
ejpam-597	41	14	652	652	NUM
ejpam-597	41	15	643	643	NUM
ejpam-597	42	1	where	where	SCONJ
ejpam-597	42	2	(	(	PUNCT
ejpam-597	42	3	d)k	d)k	X
ejpam-597	42	4	=	=	SYM
ejpam-597	42	5	¨	¨	NOUN
ejpam-597	42	6	1	1	NUM
ejpam-597	42	7	(	(	PUNCT
ejpam-597	42	8	k	k	NOUN
ejpam-597	42	9	=	=	SYM
ejpam-597	42	10	0	0	NUM
ejpam-597	42	11	;	;	PUNCT
ejpam-597	42	12	d	d	PROPN
ejpam-597	42	13	∈	∈	PROPN
ejpam-597	42	14	c∗	c∗	PROPN
ejpam-597	42	15	=	=	SYM
ejpam-597	42	16	c\{0	c\{0	NOUN
ejpam-597	42	17	}	}	PUNCT
ejpam-597	42	18	)	)	PUNCT
ejpam-597	42	19	d(d	d(d	PROPN
ejpam-597	42	20	+	+	CCONJ
ejpam-597	42	21	1)	1)	NUM
ejpam-597	42	22	...	...	PUNCT
ejpam-597	42	23	(d	(d	PUNCT
ejpam-597	43	1	+	+	NUM
ejpam-597	43	2	k−	k−	NOUN
ejpam-597	43	3	1	1	NUM
ejpam-597	43	4	)	)	PUNCT
ejpam-597	43	5	(	(	PUNCT
ejpam-597	43	6	k	k	PROPN
ejpam-597	43	7	∈	∈	PROPN
ejpam-597	43	8	n	n	PROPN
ejpam-597	43	9	;	;	PUNCT
ejpam-597	43	10	d	d	X
ejpam-597	43	11	∈	∈	PROPN
ejpam-597	43	12	c	c	X
ejpam-597	43	13	)	)	PUNCT
ejpam-597	43	14	,	,	PUNCT
ejpam-597	43	15	we	we	PRON
ejpam-597	43	16	see	see	VERB
ejpam-597	43	17	that	that	PRON
ejpam-597	43	18	,	,	PUNCT
ejpam-597	43	19	(	(	PUNCT
ejpam-597	43	20	f	f	PROPN
ejpam-597	43	21	∗	∗	PROPN
ejpam-597	43	22	g)(z	g)(z	PUNCT
ejpam-597	43	23	)	)	PUNCT
ejpam-597	43	24	=	=	SYM
ejpam-597	44	1	l(a	l(a	PROPN
ejpam-597	44	2	,	,	PUNCT
ejpam-597	44	3	c	c	NOUN
ejpam-597	44	4	)	)	PUNCT
ejpam-597	44	5	f	f	NOUN
ejpam-597	44	6	(	(	PUNCT
ejpam-597	44	7	z	z	NOUN
ejpam-597	44	8	)	)	PUNCT
ejpam-597	44	9	and	and	CCONJ
ejpam-597	44	10	l(a	l(a	PROPN
ejpam-597	44	11	,	,	PUNCT
ejpam-597	44	12	c	c	NOUN
ejpam-597	44	13	)	)	PUNCT
ejpam-597	44	14	is	be	AUX
ejpam-597	44	15	the	the	DET
ejpam-597	44	16	carlson	carlson	PROPN
ejpam-597	44	17	-	-	PUNCT
ejpam-597	44	18	shaffer	shaffer	NOUN
ejpam-597	44	19	operator	operator	NOUN
ejpam-597	44	20	[	[	X
ejpam-597	44	21	6	6	NUM
ejpam-597	44	22	]	]	PUNCT
ejpam-597	44	23	.	.	PUNCT
ejpam-597	45	1	if	if	SCONJ
ejpam-597	45	2	g(z	g(z	ADJ
ejpam-597	45	3	)	)	PUNCT
ejpam-597	45	4	=	=	SYM
ejpam-597	46	1	z	z	NOUN
ejpam-597	47	1	+	+	NOUN
ejpam-597	48	1	∞∑	∞∑	PRON
ejpam-597	48	2	k=2	k=2	NOUN
ejpam-597	48	3	(	(	PUNCT
ejpam-597	48	4	α1)k−1	α1)k−1	NOUN
ejpam-597	48	5	...	...	PUNCT
ejpam-597	48	6	(αl)k−1	(αl)k−1	PROPN
ejpam-597	48	7	(	(	PUNCT
ejpam-597	48	8	β1)k−1	β1)k−1	NOUN
ejpam-597	48	9	...	...	PUNCT
ejpam-597	48	10	(βs)k−1(1)k−1	(βs)k−1(1)k−1	PROPN
ejpam-597	48	11	zk	zk	PROPN
ejpam-597	48	12	,	,	PUNCT
ejpam-597	48	13	(	(	PUNCT
ejpam-597	48	14	5	5	NUM
ejpam-597	48	15	)	)	PUNCT
ejpam-597	48	16	where	where	SCONJ
ejpam-597	48	17	,	,	PUNCT
ejpam-597	48	18	αi	αi	VERB
ejpam-597	48	19	>	>	X
ejpam-597	48	20	0	0	PUNCT
ejpam-597	49	1	(	(	PUNCT
ejpam-597	49	2	i	i	NOUN
ejpam-597	49	3	=	=	SYM
ejpam-597	49	4	1,2	1,2	NUM
ejpam-597	49	5	,	,	PUNCT
ejpam-597	49	6	...	...	PUNCT
ejpam-597	49	7	l);β	l);β	PROPN
ejpam-597	49	8	j	j	PROPN
ejpam-597	49	9	>	>	X
ejpam-597	49	10	0	0	PUNCT
ejpam-597	50	1	(	(	PUNCT
ejpam-597	50	2	j	j	PROPN
ejpam-597	50	3	=	=	SYM
ejpam-597	50	4	1,2	1,2	NUM
ejpam-597	50	5	,	,	PUNCT
ejpam-597	50	6	...	...	PUNCT
ejpam-597	50	7	s	s	X
ejpam-597	50	8	)	)	PUNCT
ejpam-597	50	9	,	,	PUNCT
ejpam-597	50	10	l	l	PROPN
ejpam-597	50	11	≤	≤	PROPN
ejpam-597	50	12	s	s	PART
ejpam-597	50	13	+	+	ADJ
ejpam-597	50	14	1	1	NUM
ejpam-597	50	15	,	,	PUNCT
ejpam-597	50	16	l	l	NOUN
ejpam-597	50	17	,	,	PUNCT
ejpam-597	50	18	s	s	PROPN
ejpam-597	50	19	∈	∈	PROPN
ejpam-597	50	20	n0	n0	X
ejpam-597	50	21	=	=	SYM
ejpam-597	50	22	n	n	PRON
ejpam-597	50	23	∪	∪	X
ejpam-597	50	24	{	{	PUNCT
ejpam-597	50	25	0	0	NUM
ejpam-597	50	26	}	}	PUNCT
ejpam-597	50	27	,	,	PUNCT
ejpam-597	50	28	where	where	SCONJ
ejpam-597	50	29	n	n	ADV
ejpam-597	50	30	=	=	SYM
ejpam-597	50	31	{	{	PUNCT
ejpam-597	50	32	1,2	1,2	NUM
ejpam-597	50	33	,	,	PUNCT
ejpam-597	50	34	...	...	PUNCT
ejpam-597	50	35	}	}	PUNCT
ejpam-597	50	36	,	,	PUNCT
ejpam-597	50	37	we	we	PRON
ejpam-597	50	38	see	see	VERB
ejpam-597	50	39	that	that	PRON
ejpam-597	50	40	,	,	PUNCT
ejpam-597	50	41	(	(	PUNCT
ejpam-597	50	42	f	f	PROPN
ejpam-597	50	43	∗	∗	PROPN
ejpam-597	50	44	g)(z	g)(z	PUNCT
ejpam-597	50	45	)	)	PUNCT
ejpam-597	50	46	=	=	SYM
ejpam-597	50	47	hl	hl	NOUN
ejpam-597	50	48	,	,	PUNCT
ejpam-597	50	49	s(α1	s(α1	NOUN
ejpam-597	50	50	)	)	PUNCT
ejpam-597	51	1	f	f	PROPN
ejpam-597	51	2	(	(	PUNCT
ejpam-597	51	3	z	z	NOUN
ejpam-597	51	4	)	)	PUNCT
ejpam-597	51	5	,	,	PUNCT
ejpam-597	51	6	where	where	SCONJ
ejpam-597	51	7	hl	hl	NOUN
ejpam-597	51	8	,	,	PUNCT
ejpam-597	51	9	s(α1	s(α1	NOUN
ejpam-597	51	10	)	)	PUNCT
ejpam-597	51	11	is	be	AUX
ejpam-597	51	12	the	the	DET
ejpam-597	51	13	dziok	dziok	NOUN
ejpam-597	51	14	-	-	PUNCT
ejpam-597	51	15	srivastava	srivastava	PROPN
ejpam-597	51	16	operator	operator	NOUN
ejpam-597	51	17	introduced	introduce	VERB
ejpam-597	51	18	and	and	CCONJ
ejpam-597	51	19	studied	study	VERB
ejpam-597	51	20	by	by	ADP
ejpam-597	51	21	dziok	dziok	NOUN
ejpam-597	51	22	and	and	CCONJ
ejpam-597	51	23	srivastava	srivastava	PROPN
ejpam-597	52	1	[	[	X
ejpam-597	52	2	9	9	NUM
ejpam-597	52	3	]	]	PUNCT
ejpam-597	52	4	(	(	PUNCT
ejpam-597	52	5	see	see	VERB
ejpam-597	52	6	also	also	ADV
ejpam-597	52	7	[	[	X
ejpam-597	52	8	10	10	NUM
ejpam-597	52	9	]	]	PUNCT
ejpam-597	52	10	and	and	CCONJ
ejpam-597	53	1	[	[	X
ejpam-597	53	2	11	11	NUM
ejpam-597	53	3	]	]	NUM
ejpam-597	53	4	)	)	PUNCT
ejpam-597	53	5	.	.	PUNCT
ejpam-597	54	1	the	the	DET
ejpam-597	54	2	operator	operator	NOUN
ejpam-597	54	3	hl	hl	NOUN
ejpam-597	54	4	,	,	PUNCT
ejpam-597	54	5	s(α1	s(α1	NOUN
ejpam-597	54	6	)	)	PUNCT
ejpam-597	54	7	,	,	PUNCT
ejpam-597	54	8	contains	contain	VERB
ejpam-597	54	9	in	in	ADP
ejpam-597	54	10	tern	tern	ADJ
ejpam-597	54	11	many	many	ADJ
ejpam-597	54	12	interesting	interesting	ADJ
ejpam-597	54	13	operators	operator	NOUN
ejpam-597	54	14	such	such	ADJ
ejpam-597	54	15	as	as	ADP
ejpam-597	54	16	,	,	PUNCT
ejpam-597	54	17	hohlov	hohlov	NOUN
ejpam-597	54	18	linear	linear	NOUN
ejpam-597	54	19	operator	operator	NOUN
ejpam-597	54	20	(	(	PUNCT
ejpam-597	54	21	see	see	VERB
ejpam-597	54	22	[	[	X
ejpam-597	54	23	12	12	NUM
ejpam-597	54	24	]	]	NUM
ejpam-597	54	25	)	)	PUNCT
ejpam-597	54	26	,	,	PUNCT
ejpam-597	54	27	the	the	DET
ejpam-597	54	28	carlson	carlson	PROPN
ejpam-597	54	29	-	-	PUNCT
ejpam-597	54	30	shaffer	shaffer	PROPN
ejpam-597	54	31	linear	linear	NOUN
ejpam-597	54	32	operator	operator	NOUN
ejpam-597	54	33	(	(	PUNCT
ejpam-597	54	34	see	see	VERB
ejpam-597	54	35	[	[	X
ejpam-597	54	36	6	6	NUM
ejpam-597	54	37	]	]	PUNCT
ejpam-597	54	38	and	and	CCONJ
ejpam-597	54	39	[	[	X
ejpam-597	54	40	21	21	NUM
ejpam-597	54	41	]	]	PUNCT
ejpam-597	54	42	)	)	PUNCT
ejpam-597	54	43	,	,	PUNCT
ejpam-597	54	44	the	the	DET
ejpam-597	54	45	ruscheweyh	ruscheweyh	NOUN
ejpam-597	54	46	derivative	derivative	ADJ
ejpam-597	54	47	operator	operator	NOUN
ejpam-597	54	48	(	(	PUNCT
ejpam-597	54	49	see	see	VERB
ejpam-597	54	50	[	[	X
ejpam-597	54	51	20	20	NUM
ejpam-597	54	52	]	]	NUM
ejpam-597	54	53	)	)	PUNCT
ejpam-597	54	54	,	,	PUNCT
ejpam-597	54	55	the	the	DET
ejpam-597	54	56	bernardi	bernardi	PROPN
ejpam-597	54	57	-	-	PUNCT
ejpam-597	54	58	libera	libera	NOUN
ejpam-597	54	59	-	-	PUNCT
ejpam-597	54	60	livingston	livingston	PROPN
ejpam-597	54	61	operator	operator	NOUN
ejpam-597	54	62	(	(	PUNCT
ejpam-597	54	63	see	see	VERB
ejpam-597	54	64	[	[	X
ejpam-597	54	65	13	13	NUM
ejpam-597	54	66	]	]	PUNCT
ejpam-597	54	67	)	)	PUNCT
ejpam-597	54	68	and	and	CCONJ
ejpam-597	54	69	owa	owa	PROPN
ejpam-597	54	70	-	-	PROPN
ejpam-597	54	71	srivastava	srivastava	PROPN
ejpam-597	54	72	fractional	fractional	ADJ
ejpam-597	54	73	derivative	derivative	ADJ
ejpam-597	54	74	operator	operator	NOUN
ejpam-597	54	75	(	(	PUNCT
ejpam-597	54	76	see	see	VERB
ejpam-597	54	77	[	[	X
ejpam-597	54	78	18	18	NUM
ejpam-597	54	79	]	]	NUM
ejpam-597	54	80	)	)	PUNCT
ejpam-597	54	81	.	.	PUNCT
ejpam-597	55	1	also	also	ADV
ejpam-597	55	2	,	,	PUNCT
ejpam-597	55	3	if	if	SCONJ
ejpam-597	55	4	g(z	g(z	ADJ
ejpam-597	55	5	)	)	PUNCT
ejpam-597	55	6	=	=	SYM
ejpam-597	56	1	z	z	NOUN
ejpam-597	57	1	+	+	NOUN
ejpam-597	57	2	∞∑	∞∑	NUM
ejpam-597	57	3	k=2	k=2	PROPN
ejpam-597	57	4	�	�	PROPN
ejpam-597	57	5	1	1	NUM
ejpam-597	57	6	+	+	NUM
ejpam-597	57	7	l	l	NOUN
ejpam-597	57	8	+	+	NOUN
ejpam-597	57	9	λ(k−	λ(k−	PROPN
ejpam-597	57	10	1	1	NUM
ejpam-597	57	11	)	)	PUNCT
ejpam-597	57	12	1	1	NUM
ejpam-597	57	13	+	+	NUM
ejpam-597	57	14	l	l	NOUN
ejpam-597	57	15	�	�	PROPN
ejpam-597	57	16	m	m	PROPN
ejpam-597	57	17	zk	zk	PROPN
ejpam-597	57	18	(	(	PUNCT
ejpam-597	57	19	λ¾	λ¾	PROPN
ejpam-597	57	20	0	0	NUM
ejpam-597	57	21	,	,	PUNCT
ejpam-597	57	22	l	l	PROPN
ejpam-597	57	23	¾	¾	PROPN
ejpam-597	57	24	0	0	NUM
ejpam-597	57	25	,	,	PUNCT
ejpam-597	57	26	m	m	PROPN
ejpam-597	57	27	∈	∈	NOUN
ejpam-597	57	28	n0	n0	NUM
ejpam-597	57	29	)	)	PUNCT
ejpam-597	57	30	,	,	PUNCT
ejpam-597	57	31	(	(	PUNCT
ejpam-597	57	32	6	6	X
ejpam-597	57	33	)	)	PUNCT
ejpam-597	57	34	we	we	PRON
ejpam-597	57	35	see	see	VERB
ejpam-597	57	36	that	that	SCONJ
ejpam-597	57	37	(	(	PUNCT
ejpam-597	57	38	f	f	PROPN
ejpam-597	57	39	∗	∗	PROPN
ejpam-597	57	40	g)(z	g)(z	PUNCT
ejpam-597	57	41	)	)	PUNCT
ejpam-597	57	42	=	=	SYM
ejpam-597	57	43	i(m	i(m	NOUN
ejpam-597	57	44	,	,	PUNCT
ejpam-597	57	45	λ	λ	NOUN
ejpam-597	57	46	,	,	PUNCT
ejpam-597	57	47	l	l	NOUN
ejpam-597	57	48	)	)	PUNCT
ejpam-597	57	49	f	f	NOUN
ejpam-597	57	50	(	(	PUNCT
ejpam-597	57	51	z	z	NOUN
ejpam-597	57	52	)	)	PUNCT
ejpam-597	57	53	,	,	PUNCT
ejpam-597	57	54	where	where	SCONJ
ejpam-597	57	55	i(m	i(m	NOUN
ejpam-597	57	56	,	,	PUNCT
ejpam-597	57	57	λ	λ	NOUN
ejpam-597	57	58	,	,	PUNCT
ejpam-597	57	59	l	l	NOUN
ejpam-597	57	60	)	)	PUNCT
ejpam-597	57	61	is	be	AUX
ejpam-597	57	62	the	the	DET
ejpam-597	57	63	generalized	generalize	VERB
ejpam-597	57	64	multiplier	multipli	ADJ
ejpam-597	57	65	transformation	transformation	NOUN
ejpam-597	57	66	which	which	PRON
ejpam-597	57	67	was	be	AUX
ejpam-597	57	68	introduced	introduce	VERB
ejpam-597	57	69	and	and	CCONJ
ejpam-597	57	70	studied	study	VERB
ejpam-597	57	71	by	by	ADP
ejpam-597	57	72	cătaş	cătaş	PROPN
ejpam-597	57	73	et	et	NOUN
ejpam-597	57	74	al	al	PROPN
ejpam-597	57	75	.	.	PUNCT
ejpam-597	58	1	[	[	X
ejpam-597	58	2	7	7	NUM
ejpam-597	58	3	]	]	PUNCT
ejpam-597	58	4	.	.	PUNCT
ejpam-597	59	1	the	the	DET
ejpam-597	59	2	operator	operator	NOUN
ejpam-597	59	3	i(m	i(m	NOUN
ejpam-597	59	4	,	,	PUNCT
ejpam-597	59	5	λ	λ	NOUN
ejpam-597	59	6	,	,	PUNCT
ejpam-597	59	7	l	l	NOUN
ejpam-597	59	8	)	)	PUNCT
ejpam-597	59	9	,	,	PUNCT
ejpam-597	59	10	contains	contain	VERB
ejpam-597	59	11	as	as	ADP
ejpam-597	59	12	special	special	ADJ
ejpam-597	59	13	cases	case	NOUN
ejpam-597	59	14	,	,	PUNCT
ejpam-597	59	15	the	the	DET
ejpam-597	59	16	multiplier	multipli	ADJ
ejpam-597	59	17	transformation	transformation	NOUN
ejpam-597	59	18	(	(	PUNCT
ejpam-597	59	19	see	see	VERB
ejpam-597	59	20	[	[	X
ejpam-597	59	21	8	8	NUM
ejpam-597	59	22	]	]	NUM
ejpam-597	59	23	)	)	PUNCT
ejpam-597	59	24	,	,	PUNCT
ejpam-597	59	25	the	the	DET
ejpam-597	59	26	generalized	generalize	VERB
ejpam-597	59	27	salăgeăn	salăgeăn	NOUN
ejpam-597	59	28	operator	operator	NOUN
ejpam-597	59	29	introduced	introduce	VERB
ejpam-597	59	30	and	and	CCONJ
ejpam-597	59	31	studied	study	VERB
ejpam-597	59	32	by	by	ADP
ejpam-597	59	33	al	al	PROPN
ejpam-597	59	34	-	-	PUNCT
ejpam-597	59	35	oboudi	oboudi	NOUN
ejpam-597	59	36	[	[	X
ejpam-597	59	37	2	2	X
ejpam-597	59	38	]	]	PUNCT
ejpam-597	59	39	which	which	PRON
ejpam-597	59	40	in	in	ADP
ejpam-597	59	41	tern	tern	ADJ
ejpam-597	59	42	contains	contain	VERB
ejpam-597	59	43	as	as	ADP
ejpam-597	59	44	special	special	ADJ
ejpam-597	59	45	case	case	NOUN
ejpam-597	59	46	the	the	DET
ejpam-597	59	47	salăgeăn	salăgeăn	NOUN
ejpam-597	59	48	operator	operator	NOUN
ejpam-597	59	49	(	(	PUNCT
ejpam-597	59	50	see	see	VERB
ejpam-597	59	51	[	[	X
ejpam-597	59	52	22	22	NUM
ejpam-597	59	53	]	]	PUNCT
ejpam-597	59	54	)	)	PUNCT
ejpam-597	59	55	.	.	PUNCT
ejpam-597	60	1	in	in	ADP
ejpam-597	60	2	[	[	X
ejpam-597	60	3	16	16	NUM
ejpam-597	60	4	]	]	PUNCT
ejpam-597	60	5	,	,	PUNCT
ejpam-597	60	6	mostafa	mostafa	PROPN
ejpam-597	60	7	et	et	PROPN
ejpam-597	60	8	al	al	PROPN
ejpam-597	60	9	.	.	PROPN
ejpam-597	60	10	obtained	obtain	VERB
ejpam-597	60	11	some	some	DET
ejpam-597	60	12	interesting	interesting	ADJ
ejpam-597	60	13	subordination	subordination	NOUN
ejpam-597	60	14	results	result	NOUN
ejpam-597	60	15	for	for	ADP
ejpam-597	60	16	the	the	DET
ejpam-597	60	17	function	function	NOUN
ejpam-597	60	18	�	�	PROPN
ejpam-597	60	19	(	(	PUNCT
ejpam-597	60	20	f	f	PROPN
ejpam-597	60	21	∗	∗	PROPN
ejpam-597	60	22	g)(z	g)(z	PROPN
ejpam-597	60	23	)	)	PUNCT
ejpam-597	60	24	z	z	PROPN
ejpam-597	60	25	�	�	PROPN
ejpam-597	60	26	α	α	PROPN
ejpam-597	60	27	(	(	PUNCT
ejpam-597	60	28	α	α	PROPN
ejpam-597	60	29	∈	∈	PROPN
ejpam-597	60	30	c∗	c∗	NOUN
ejpam-597	60	31	)	)	PUNCT
ejpam-597	60	32	.	.	PUNCT
ejpam-597	61	1	in	in	ADP
ejpam-597	61	2	this	this	DET
ejpam-597	61	3	paper	paper	NOUN
ejpam-597	61	4	,	,	PUNCT
ejpam-597	61	5	we	we	PRON
ejpam-597	61	6	get	get	VERB
ejpam-597	61	7	some	some	DET
ejpam-597	61	8	interesting	interesting	ADJ
ejpam-597	61	9	subordination	subordination	NOUN
ejpam-597	61	10	results	result	NOUN
ejpam-597	61	11	for	for	ADP
ejpam-597	61	12	the	the	DET
ejpam-597	61	13	function	function	NOUN
ejpam-597	61	14	�	�	PROPN
ejpam-597	61	15	z	z	PROPN
ejpam-597	61	16	(	(	PUNCT
ejpam-597	61	17	f	f	PROPN
ejpam-597	61	18	∗	∗	PROPN
ejpam-597	61	19	g)(z	g)(z	PUNCT
ejpam-597	61	20	)	)	PUNCT
ejpam-597	61	21	�	�	PROPN
ejpam-597	61	22	δ	δ	PROPN
ejpam-597	61	23	(	(	PUNCT
ejpam-597	61	24	δ	δ	PROPN
ejpam-597	61	25	∈	∈	PROPN
ejpam-597	61	26	c∗	c∗	PROPN
ejpam-597	61	27	)	)	PUNCT
ejpam-597	61	28	.	.	PUNCT
ejpam-597	62	1	2	2	X
ejpam-597	62	2	.	.	X
ejpam-597	62	3	definitions	definition	NOUN
ejpam-597	62	4	and	and	CCONJ
ejpam-597	62	5	preliminaries	preliminary	NOUN
ejpam-597	62	6	to	to	PART
ejpam-597	62	7	prove	prove	VERB
ejpam-597	62	8	our	our	PRON
ejpam-597	62	9	results	result	NOUN
ejpam-597	62	10	we	we	PRON
ejpam-597	62	11	shall	shall	AUX
ejpam-597	62	12	need	need	VERB
ejpam-597	62	13	the	the	DET
ejpam-597	62	14	following	follow	VERB
ejpam-597	62	15	definition	definition	NOUN
ejpam-597	62	16	and	and	CCONJ
ejpam-597	62	17	lemmas	lemmas	PROPN
ejpam-597	62	18	.	.	PUNCT
ejpam-597	63	1	definition	definition	NOUN
ejpam-597	63	2	1	1	NUM
ejpam-597	63	3	(	(	PUNCT
ejpam-597	63	4	[	[	X
ejpam-597	63	5	15	15	NUM
ejpam-597	63	6	]	]	NUM
ejpam-597	63	7	)	)	PUNCT
ejpam-597	63	8	.	.	PUNCT
ejpam-597	64	1	let	let	VERB
ejpam-597	64	2	q	q	PRON
ejpam-597	64	3	be	be	AUX
ejpam-597	64	4	the	the	DET
ejpam-597	64	5	set	set	NOUN
ejpam-597	64	6	of	of	ADP
ejpam-597	64	7	all	all	DET
ejpam-597	64	8	functions	function	NOUN
ejpam-597	64	9	f	f	PROPN
ejpam-597	65	1	that	that	PRON
ejpam-597	65	2	are	be	AUX
ejpam-597	65	3	analytic	analytic	ADJ
ejpam-597	65	4	and	and	CCONJ
ejpam-597	65	5	injective	injective	ADJ
ejpam-597	65	6	on	on	ADP
ejpam-597	65	7	u\e	u\e	PROPN
ejpam-597	65	8	(	(	PUNCT
ejpam-597	65	9	f	f	PROPN
ejpam-597	65	10	)	)	PUNCT
ejpam-597	65	11	,	,	PUNCT
ejpam-597	65	12	where	where	SCONJ
ejpam-597	65	13	e	e	X
ejpam-597	65	14	(	(	PUNCT
ejpam-597	65	15	f	f	X
ejpam-597	65	16	)	)	PUNCT
ejpam-597	65	17	=	=	PRON
ejpam-597	65	18	{	{	PUNCT
ejpam-597	65	19	ζ	ζ	NOUN
ejpam-597	65	20	∈	∈	PROPN
ejpam-597	65	21	∂u	∂u	NOUN
ejpam-597	65	22	:	:	PUNCT
ejpam-597	65	23	lim	lim	PROPN
ejpam-597	65	24	z→ζ	z→ζ	NUM
ejpam-597	65	25	f	f	X
ejpam-597	65	26	(	(	PUNCT
ejpam-597	65	27	z	z	NOUN
ejpam-597	65	28	)	)	PUNCT
ejpam-597	66	1	=	=	NOUN
ejpam-597	66	2	∞	∞	NOUN
ejpam-597	66	3	}	}	PUNCT
ejpam-597	66	4	,	,	PUNCT
ejpam-597	67	1	and	and	CCONJ
ejpam-597	67	2	are	be	AUX
ejpam-597	67	3	such	such	ADJ
ejpam-597	67	4	that	that	SCONJ
ejpam-597	67	5	f	f	PROPN
ejpam-597	67	6	′(ζ	′(ζ	NOUN
ejpam-597	67	7	)	)	PUNCT
ejpam-597	67	8	6=	6=	ADP
ejpam-597	67	9	0	0	NUM
ejpam-597	67	10	for	for	ADP
ejpam-597	67	11	ζ	ζ	NOUN
ejpam-597	67	12	∈	∈	NOUN
ejpam-597	67	13	∂u	∂u	PROPN
ejpam-597	67	14	\	\	NOUN
ejpam-597	68	1	e	e	X
ejpam-597	68	2	(	(	PUNCT
ejpam-597	68	3	f	f	PROPN
ejpam-597	68	4	)	)	PUNCT
ejpam-597	68	5	.	.	PUNCT
ejpam-597	69	1	lemma	lemma	PROPN
ejpam-597	69	2	1	1	NUM
ejpam-597	69	3	(	(	PUNCT
ejpam-597	69	4	[	[	X
ejpam-597	69	5	14	14	NUM
ejpam-597	69	6	]	]	NUM
ejpam-597	69	7	)	)	PUNCT
ejpam-597	69	8	.	.	PUNCT
ejpam-597	70	1	let	let	VERB
ejpam-597	70	2	q	q	PART
ejpam-597	70	3	be	be	AUX
ejpam-597	70	4	univalent	univalent	ADJ
ejpam-597	70	5	in	in	ADP
ejpam-597	70	6	the	the	DET
ejpam-597	70	7	unit	unit	NOUN
ejpam-597	70	8	disc	disc	VERB
ejpam-597	70	9	u	u	NOUN
ejpam-597	70	10	,	,	PUNCT
ejpam-597	70	11	and	and	CCONJ
ejpam-597	70	12	let	let	VERB
ejpam-597	70	13	θ	θ	PROPN
ejpam-597	70	14	and	and	CCONJ
ejpam-597	70	15	ϕ	ϕ	PROPN
ejpam-597	70	16	be	be	AUX
ejpam-597	70	17	analytic	analytic	ADJ
ejpam-597	70	18	in	in	ADP
ejpam-597	70	19	a	a	DET
ejpam-597	70	20	domain	domain	NOUN
ejpam-597	70	21	d	d	NOUN
ejpam-597	70	22	containing	contain	VERB
ejpam-597	70	23	q(u	q(u	PROPN
ejpam-597	70	24	)	)	PUNCT
ejpam-597	70	25	,	,	PUNCT
ejpam-597	70	26	with	with	ADP
ejpam-597	70	27	ϕ(w	ϕ(w	NOUN
ejpam-597	70	28	)	)	PUNCT
ejpam-597	70	29	6=	6=	ADP
ejpam-597	70	30	0	0	NUM
ejpam-597	71	1	when	when	SCONJ
ejpam-597	71	2	w	w	PROPN
ejpam-597	71	3	∈	∈	PROPN
ejpam-597	71	4	q(u	q(u	NOUN
ejpam-597	71	5	)	)	PUNCT
ejpam-597	71	6	.	.	PUNCT
ejpam-597	72	1	set	set	PROPN
ejpam-597	72	2	ψ(z	ψ(z	PROPN
ejpam-597	72	3	)	)	PUNCT
ejpam-597	72	4	=	=	SYM
ejpam-597	72	5	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-597	72	6	)	)	PUNCT
ejpam-597	72	7	)	)	PUNCT
ejpam-597	72	8	,	,	PUNCT
ejpam-597	72	9	h(z	h(z	NOUN
ejpam-597	72	10	)	)	PUNCT
ejpam-597	72	11	=	=	SYM
ejpam-597	72	12	θ(q(z	θ(q(z	PROPN
ejpam-597	72	13	)	)	PUNCT
ejpam-597	72	14	)	)	PUNCT
ejpam-597	73	1	+	+	ADP
ejpam-597	73	2	ψ(z	ψ(z	NOUN
ejpam-597	73	3	)	)	PUNCT
ejpam-597	73	4	and	and	CCONJ
ejpam-597	73	5	suppose	suppose	VERB
ejpam-597	73	6	that	that	SCONJ
ejpam-597	73	7	m.	m.	PROPN
ejpam-597	73	8	aouf	aouf	PROPN
ejpam-597	73	9	and	and	CCONJ
ejpam-597	73	10	a.	a.	PROPN
ejpam-597	73	11	mostafa	mostafa	PROPN
ejpam-597	73	12	/	/	SYM
ejpam-597	73	13	eur	eur	PROPN
ejpam-597	73	14	.	.	PUNCT
ejpam-597	74	1	j.	j.	PROPN
ejpam-597	74	2	pure	pure	PROPN
ejpam-597	74	3	appl	appl	PROPN
ejpam-597	74	4	.	.	PROPN
ejpam-597	74	5	math	math	PROPN
ejpam-597	74	6	,	,	PUNCT
ejpam-597	74	7	3	3	NUM
ejpam-597	74	8	(	(	PUNCT
ejpam-597	74	9	2010	2010	NUM
ejpam-597	74	10	)	)	PUNCT
ejpam-597	74	11	,	,	PUNCT
ejpam-597	74	12	641	641	NUM
ejpam-597	74	13	-	-	SYM
ejpam-597	74	14	652	652	NUM
ejpam-597	74	15	644	644	NUM
ejpam-597	74	16	(	(	PUNCT
ejpam-597	74	17	i	i	NOUN
ejpam-597	74	18	)	)	PUNCT
ejpam-597	74	19	ψ	ψ	NOUN
ejpam-597	74	20	is	be	AUX
ejpam-597	74	21	a	a	DET
ejpam-597	74	22	starlike	starlike	NOUN
ejpam-597	74	23	function	function	NOUN
ejpam-597	74	24	in	in	ADP
ejpam-597	74	25	u	u	PROPN
ejpam-597	74	26	,	,	PUNCT
ejpam-597	74	27	(	(	PUNCT
ejpam-597	74	28	ii	ii	NOUN
ejpam-597	74	29	)	)	PUNCT
ejpam-597	74	30	re	re	VERB
ejpam-597	74	31	zh′(z	zh′(z	PROPN
ejpam-597	74	32	)	)	PUNCT
ejpam-597	74	33	ψ(z	ψ(z	PROPN
ejpam-597	74	34	)	)	PUNCT
ejpam-597	74	35	>	>	X
ejpam-597	74	36	0	0	NUM
ejpam-597	74	37	,	,	PUNCT
ejpam-597	74	38	z	z	NOUN
ejpam-597	74	39	∈	∈	PROPN
ejpam-597	74	40	u.	u.	VERB
ejpam-597	74	41	if	if	SCONJ
ejpam-597	74	42	p	p	NOUN
ejpam-597	74	43	is	be	AUX
ejpam-597	74	44	analytic	analytic	ADJ
ejpam-597	74	45	in	in	ADP
ejpam-597	74	46	u	u	NOUN
ejpam-597	74	47	with	with	ADP
ejpam-597	74	48	p(0	p(0	PROPN
ejpam-597	74	49	)	)	PUNCT
ejpam-597	74	50	=	=	SYM
ejpam-597	74	51	q(0	q(0	PROPN
ejpam-597	74	52	)	)	PUNCT
ejpam-597	74	53	,	,	PUNCT
ejpam-597	75	1	p(u)⊆	p(u)⊆	PROPN
ejpam-597	75	2	d	d	PROPN
ejpam-597	75	3	and	and	CCONJ
ejpam-597	75	4	θ(p(z	θ(p(z	PROPN
ejpam-597	75	5	)	)	PUNCT
ejpam-597	75	6	)	)	PUNCT
ejpam-597	76	1	+	+	CCONJ
ejpam-597	76	2	zp′(z)ϕ(p(z	zp′(z)ϕ(p(z	NUM
ejpam-597	76	3	)	)	PUNCT
ejpam-597	76	4	)	)	PUNCT
ejpam-597	77	1	≺	≺	NOUN
ejpam-597	77	2	θ(q(z	θ(q(z	PROPN
ejpam-597	77	3	)	)	PUNCT
ejpam-597	77	4	)	)	PUNCT
ejpam-597	78	1	+	+	CCONJ
ejpam-597	78	2	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-597	78	3	)	)	PUNCT
ejpam-597	78	4	)	)	PUNCT
ejpam-597	79	1	,	,	PUNCT
ejpam-597	79	2	(	(	PUNCT
ejpam-597	79	3	7	7	X
ejpam-597	79	4	)	)	PUNCT
ejpam-597	79	5	then	then	ADV
ejpam-597	79	6	p(z	p(z	NOUN
ejpam-597	79	7	)	)	PUNCT
ejpam-597	79	8	≺	≺	NOUN
ejpam-597	79	9	q(z	q(z	PROPN
ejpam-597	79	10	)	)	PUNCT
ejpam-597	79	11	,	,	PUNCT
ejpam-597	79	12	and	and	CCONJ
ejpam-597	79	13	q	q	NOUN
ejpam-597	79	14	is	be	AUX
ejpam-597	79	15	the	the	DET
ejpam-597	79	16	best	good	ADJ
ejpam-597	79	17	dominant	dominant	NOUN
ejpam-597	79	18	of	of	ADP
ejpam-597	79	19	(	(	PUNCT
ejpam-597	79	20	7	7	NUM
ejpam-597	79	21	)	)	PUNCT
ejpam-597	79	22	.	.	PUNCT
ejpam-597	80	1	lemma	lemma	PROPN
ejpam-597	80	2	2	2	NUM
ejpam-597	80	3	(	(	PUNCT
ejpam-597	80	4	[	[	X
ejpam-597	80	5	23	23	NUM
ejpam-597	80	6	]	]	PUNCT
ejpam-597	80	7	)	)	PUNCT
ejpam-597	80	8	.	.	PUNCT
ejpam-597	81	1	let	let	VERB
ejpam-597	81	2	µ,γ	µ,γ	VERB
ejpam-597	81	3	∈	∈	PROPN
ejpam-597	81	4	c∗	c∗	NOUN
ejpam-597	81	5	,	,	PUNCT
ejpam-597	81	6	and	and	CCONJ
ejpam-597	81	7	let	let	VERB
ejpam-597	81	8	q	q	PUNCT
ejpam-597	81	9	be	be	AUX
ejpam-597	81	10	a	a	DET
ejpam-597	81	11	convex	convex	NOUN
ejpam-597	81	12	function	function	NOUN
ejpam-597	81	13	in	in	ADP
ejpam-597	81	14	u	u	NOUN
ejpam-597	81	15	with	with	ADP
ejpam-597	81	16	re	re	NOUN
ejpam-597	81	17	�	�	PROPN
ejpam-597	81	18	1	1	NUM
ejpam-597	81	19	+	+	NUM
ejpam-597	81	20	zq′′(z	zq′′(z	NOUN
ejpam-597	81	21	)	)	PUNCT
ejpam-597	81	22	q′(z	q′(z	ADP
ejpam-597	81	23	)	)	PUNCT
ejpam-597	81	24	+	+	NUM
ejpam-597	81	25	µ	µ	X
ejpam-597	81	26	γ	γ	X
ejpam-597	81	27	�	�	PROPN
ejpam-597	81	28	>	>	X
ejpam-597	81	29	0	0	NUM
ejpam-597	81	30	,	,	PUNCT
ejpam-597	81	31	z	z	NOUN
ejpam-597	81	32	∈	∈	PROPN
ejpam-597	81	33	u.	u.	VERB
ejpam-597	81	34	if	if	SCONJ
ejpam-597	81	35	p	p	NOUN
ejpam-597	81	36	is	be	AUX
ejpam-597	81	37	analytic	analytic	ADJ
ejpam-597	81	38	in	in	ADP
ejpam-597	81	39	u	u	NOUN
ejpam-597	81	40	and	and	CCONJ
ejpam-597	81	41	µp(z	µp(z	NUM
ejpam-597	81	42	)	)	PUNCT
ejpam-597	82	1	+	+	NUM
ejpam-597	82	2	γzp′(z	γzp′(z	NOUN
ejpam-597	82	3	)	)	PUNCT
ejpam-597	82	4	≺	≺	NOUN
ejpam-597	82	5	µq(z	µq(z	NUM
ejpam-597	82	6	)	)	PUNCT
ejpam-597	83	1	+	+	CCONJ
ejpam-597	83	2	γzq′(z	γzq′(z	NOUN
ejpam-597	83	3	)	)	PUNCT
ejpam-597	83	4	,	,	PUNCT
ejpam-597	83	5	(	(	PUNCT
ejpam-597	83	6	8)	8)	NOUN
ejpam-597	83	7	then	then	ADV
ejpam-597	83	8	p(z	p(z	NOUN
ejpam-597	83	9	)	)	PUNCT
ejpam-597	83	10	≺	≺	NOUN
ejpam-597	83	11	q(z	q(z	PROPN
ejpam-597	83	12	)	)	PUNCT
ejpam-597	83	13	,	,	PUNCT
ejpam-597	83	14	and	and	CCONJ
ejpam-597	83	15	q	q	NOUN
ejpam-597	83	16	is	be	AUX
ejpam-597	83	17	the	the	DET
ejpam-597	83	18	best	good	ADJ
ejpam-597	83	19	dominant	dominant	NOUN
ejpam-597	83	20	of	of	ADP
ejpam-597	83	21	(	(	PUNCT
ejpam-597	83	22	8)	8)	NUM
ejpam-597	83	23	.	.	PUNCT
ejpam-597	84	1	lemma	lemma	PROPN
ejpam-597	84	2	3	3	NUM
ejpam-597	84	3	(	(	PUNCT
ejpam-597	84	4	[	[	X
ejpam-597	84	5	5	5	NUM
ejpam-597	84	6	]	]	PUNCT
ejpam-597	84	7	)	)	PUNCT
ejpam-597	84	8	.	.	PUNCT
ejpam-597	85	1	let	let	VERB
ejpam-597	85	2	q	q	PART
ejpam-597	85	3	be	be	AUX
ejpam-597	85	4	convex	convex	ADJ
ejpam-597	85	5	univalent	univalent	ADJ
ejpam-597	85	6	function	function	NOUN
ejpam-597	85	7	in	in	ADP
ejpam-597	85	8	u	u	NOUN
ejpam-597	85	9	and	and	CCONJ
ejpam-597	85	10	let	let	VERB
ejpam-597	85	11	θ	θ	PROPN
ejpam-597	85	12	and	and	CCONJ
ejpam-597	85	13	ϕ	ϕ	PROPN
ejpam-597	85	14	be	be	AUX
ejpam-597	85	15	analytic	analytic	ADJ
ejpam-597	85	16	in	in	ADP
ejpam-597	85	17	a	a	DET
ejpam-597	85	18	domain	domain	NOUN
ejpam-597	85	19	d	d	NOUN
ejpam-597	85	20	containing	contain	VERB
ejpam-597	85	21	q(u	q(u	NOUN
ejpam-597	85	22	)	)	PUNCT
ejpam-597	85	23	.	.	PUNCT
ejpam-597	86	1	suppose	suppose	VERB
ejpam-597	86	2	that	that	SCONJ
ejpam-597	86	3	:	:	PUNCT
ejpam-597	86	4	(	(	PUNCT
ejpam-597	86	5	i	i	NOUN
ejpam-597	86	6	)	)	PUNCT
ejpam-597	86	7	re	re	VERB
ejpam-597	86	8	θ	θ	PROPN
ejpam-597	86	9	′(q(z	′(q(z	NOUN
ejpam-597	86	10	)	)	PUNCT
ejpam-597	86	11	)	)	PUNCT
ejpam-597	86	12	ϕ(q(z	ϕ(q(z	PROPN
ejpam-597	86	13	)	)	PUNCT
ejpam-597	86	14	)	)	PUNCT
ejpam-597	86	15	>	>	X
ejpam-597	86	16	0	0	NUM
ejpam-597	86	17	,	,	PUNCT
ejpam-597	86	18	z	z	PROPN
ejpam-597	86	19	∈	∈	PROPN
ejpam-597	86	20	u	u	PROPN
ejpam-597	86	21	,	,	PUNCT
ejpam-597	86	22	(	(	PUNCT
ejpam-597	86	23	ii	ii	NOUN
ejpam-597	86	24	)	)	PUNCT
ejpam-597	86	25	h(z	h(z	NOUN
ejpam-597	86	26	)	)	PUNCT
ejpam-597	86	27	=	=	SYM
ejpam-597	86	28	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-597	86	29	)	)	PUNCT
ejpam-597	86	30	)	)	PUNCT
ejpam-597	86	31	is	be	AUX
ejpam-597	86	32	starlike	starlike	NOUN
ejpam-597	86	33	in	in	ADP
ejpam-597	86	34	u.	u.	PROPN
ejpam-597	86	35	if	if	SCONJ
ejpam-597	86	36	p	p	PROPN
ejpam-597	86	37	∈	∈	PROPN
ejpam-597	86	38	h[q(0	h[q(0	PROPN
ejpam-597	86	39	)	)	PUNCT
ejpam-597	86	40	,	,	PUNCT
ejpam-597	86	41	1]∩q	1]∩q	NUM
ejpam-597	86	42	with	with	ADP
ejpam-597	86	43	p(u)⊂	p(u)⊂	PROPN
ejpam-597	86	44	d	d	NOUN
ejpam-597	86	45	,	,	PUNCT
ejpam-597	86	46	the	the	DET
ejpam-597	86	47	function	function	NOUN
ejpam-597	86	48	θ(p(z))+zp′(z)ϕ(p(z	θ(p(z))+zp′(z)ϕ(p(z	ADJ
ejpam-597	86	49	)	)	PUNCT
ejpam-597	86	50	)	)	PUNCT
ejpam-597	86	51	is	be	AUX
ejpam-597	86	52	univalent	univalent	ADJ
ejpam-597	86	53	in	in	ADP
ejpam-597	86	54	u	u	NOUN
ejpam-597	86	55	and	and	CCONJ
ejpam-597	86	56	θ(q(z	θ(q(z	PROPN
ejpam-597	86	57	)	)	PUNCT
ejpam-597	86	58	)	)	PUNCT
ejpam-597	87	1	+	+	CCONJ
ejpam-597	87	2	zq′(z)ϕ(q(z))≺	zq′(z)ϕ(q(z))≺	PROPN
ejpam-597	87	3	θ(p(z	θ(p(z	PROPN
ejpam-597	87	4	)	)	PUNCT
ejpam-597	87	5	)	)	PUNCT
ejpam-597	88	1	+	+	CCONJ
ejpam-597	88	2	zp′(z)ϕ(p(z	zp′(z)ϕ(p(z	NUM
ejpam-597	88	3	)	)	PUNCT
ejpam-597	88	4	)	)	PUNCT
ejpam-597	89	1	,	,	PUNCT
ejpam-597	89	2	(	(	PUNCT
ejpam-597	89	3	9	9	X
ejpam-597	89	4	)	)	PUNCT
ejpam-597	89	5	then	then	ADV
ejpam-597	89	6	q(z)≺	q(z)≺	INTJ
ejpam-597	89	7	p(z	p(z	PROPN
ejpam-597	89	8	)	)	PUNCT
ejpam-597	89	9	,	,	PUNCT
ejpam-597	89	10	and	and	CCONJ
ejpam-597	89	11	q	q	NOUN
ejpam-597	89	12	is	be	AUX
ejpam-597	89	13	the	the	DET
ejpam-597	89	14	best	good	ADJ
ejpam-597	89	15	subordinant	subordinant	NOUN
ejpam-597	89	16	of	of	ADP
ejpam-597	89	17	(	(	PUNCT
ejpam-597	89	18	9	9	NUM
ejpam-597	89	19	)	)	PUNCT
ejpam-597	89	20	.	.	PUNCT
ejpam-597	90	1	lemma	lemma	PROPN
ejpam-597	90	2	4	4	NUM
ejpam-597	90	3	(	(	PUNCT
ejpam-597	90	4	[	[	X
ejpam-597	90	5	19	19	NUM
ejpam-597	90	6	]	]	NUM
ejpam-597	90	7	)	)	PUNCT
ejpam-597	90	8	.	.	PUNCT
ejpam-597	91	1	the	the	DET
ejpam-597	91	2	function	function	NOUN
ejpam-597	91	3	q(z	q(z	PROPN
ejpam-597	91	4	)	)	PUNCT
ejpam-597	91	5	=	=	PUNCT
ejpam-597	91	6	(	(	PUNCT
ejpam-597	91	7	1−	1−	NUM
ejpam-597	91	8	z)−2ab	z)−2ab	NOUN
ejpam-597	91	9	is	be	AUX
ejpam-597	91	10	univalent	univalent	ADJ
ejpam-597	91	11	in	in	ADP
ejpam-597	91	12	u	u	NOUN
ejpam-597	91	13	if	if	SCONJ
ejpam-597	91	14	and	and	CCONJ
ejpam-597	91	15	only	only	ADV
ejpam-597	91	16	if	if	SCONJ
ejpam-597	91	17	|2ab−	|2ab−	PROPN
ejpam-597	91	18	1|	1|	NUM
ejpam-597	91	19	≤	≤	NOUN
ejpam-597	91	20	1	1	NUM
ejpam-597	91	21	or	or	CCONJ
ejpam-597	91	22	|2ab+	|2ab+	PROPN
ejpam-597	91	23	1|	1|	NUM
ejpam-597	91	24	≤	≤	NUM
ejpam-597	91	25	1	1	NUM
ejpam-597	91	26	.	.	X
ejpam-597	92	1	3	3	NUM
ejpam-597	92	2	.	.	X
ejpam-597	92	3	main	main	ADJ
ejpam-597	92	4	results	result	NOUN
ejpam-597	92	5	unless	unless	SCONJ
ejpam-597	92	6	otherwise	otherwise	ADV
ejpam-597	92	7	mentioned	mention	VERB
ejpam-597	92	8	,	,	PUNCT
ejpam-597	92	9	we	we	PRON
ejpam-597	92	10	assume	assume	VERB
ejpam-597	92	11	throughout	throughout	ADP
ejpam-597	92	12	this	this	DET
ejpam-597	92	13	paper	paper	NOUN
ejpam-597	92	14	that	that	SCONJ
ejpam-597	92	15	,	,	PUNCT
ejpam-597	92	16	δ	δ	PROPN
ejpam-597	92	17	,	,	PUNCT
ejpam-597	92	18	η	η	PROPN
ejpam-597	92	19	∈	∈	PROPN
ejpam-597	92	20	c∗	c∗	PROPN
ejpam-597	92	21	,	,	PUNCT
ejpam-597	92	22	z	z	PROPN
ejpam-597	92	23	∈	∈	PROPN
ejpam-597	92	24	u	u	NOUN
ejpam-597	92	25	and	and	CCONJ
ejpam-597	92	26	the	the	DET
ejpam-597	92	27	power	power	NOUN
ejpam-597	92	28	is	be	AUX
ejpam-597	92	29	the	the	DET
ejpam-597	92	30	principal	principal	ADJ
ejpam-597	92	31	one	one	NUM
ejpam-597	92	32	.	.	PUNCT
ejpam-597	93	1	theorem	theorem	NOUN
ejpam-597	93	2	1	1	NUM
ejpam-597	93	3	.	.	PUNCT
ejpam-597	94	1	let	let	VERB
ejpam-597	94	2	q	q	PART
ejpam-597	94	3	be	be	AUX
ejpam-597	94	4	univalent	univalent	ADJ
ejpam-597	94	5	in	in	ADP
ejpam-597	94	6	u	u	NOUN
ejpam-597	94	7	and	and	CCONJ
ejpam-597	94	8	satisfies	satisfie	NOUN
ejpam-597	94	9	re{1	re{1	VERB
ejpam-597	94	10	+	+	CCONJ
ejpam-597	94	11	zq′′(z	zq′′(z	NOUN
ejpam-597	94	12	)	)	PUNCT
ejpam-597	94	13	q′(z	q′(z	ADP
ejpam-597	94	14	)	)	PUNCT
ejpam-597	94	15	+	+	CCONJ
ejpam-597	94	16	δ	δ	PROPN
ejpam-597	94	17	η	η	PROPN
ejpam-597	94	18	}	}	PUNCT
ejpam-597	94	19	>	>	X
ejpam-597	94	20	0	0	X
ejpam-597	94	21	.	.	PUNCT
ejpam-597	95	1	(	(	PUNCT
ejpam-597	95	2	10	10	NUM
ejpam-597	95	3	)	)	PUNCT
ejpam-597	95	4	if	if	SCONJ
ejpam-597	95	5	f	f	PROPN
ejpam-597	95	6	,	,	PUNCT
ejpam-597	95	7	g	g	PROPN
ejpam-597	95	8	∈	∈	PROPN
ejpam-597	95	9	s	s	PART
ejpam-597	95	10	with	with	ADP
ejpam-597	95	11	(	(	PUNCT
ejpam-597	95	12	f	f	PROPN
ejpam-597	95	13	∗	∗	NOUN
ejpam-597	95	14	g)(z	g)(z	PUNCT
ejpam-597	95	15	)	)	PUNCT
ejpam-597	95	16	6=	6=	ADP
ejpam-597	95	17	0	0	NUM
ejpam-597	95	18	,	,	PUNCT
ejpam-597	95	19	z	z	NOUN
ejpam-597	95	20	∈	∈	NOUN
ejpam-597	95	21	u∗	u∗	NOUN
ejpam-597	95	22	=	=	SYM
ejpam-597	95	23	u\{0	u\{0	PROPN
ejpam-597	95	24	}	}	PUNCT
ejpam-597	95	25	satisfy	satisfy	VERB
ejpam-597	95	26	the	the	DET
ejpam-597	95	27	subordination	subordination	NOUN
ejpam-597	95	28	:	:	PUNCT
ejpam-597	95	29	χg(η	χg(η	NUM
ejpam-597	95	30	,	,	PUNCT
ejpam-597	95	31	δ	δ	PROPN
ejpam-597	95	32	,	,	PUNCT
ejpam-597	95	33	f	f	PROPN
ejpam-597	95	34	)	)	PUNCT
ejpam-597	95	35	≺	≺	NOUN
ejpam-597	95	36	q(z	q(z	PROPN
ejpam-597	95	37	)	)	PUNCT
ejpam-597	96	1	+	+	NUM
ejpam-597	96	2	η	η	PROPN
ejpam-597	96	3	δ	δ	PROPN
ejpam-597	96	4	zq′(z	zq′(z	PROPN
ejpam-597	96	5	)	)	PUNCT
ejpam-597	96	6	,	,	PUNCT
ejpam-597	96	7	(	(	PUNCT
ejpam-597	96	8	11	11	X
ejpam-597	96	9	)	)	PUNCT
ejpam-597	96	10	m.	m.	NOUN
ejpam-597	96	11	aouf	aouf	PROPN
ejpam-597	96	12	and	and	CCONJ
ejpam-597	96	13	a.	a.	PROPN
ejpam-597	96	14	mostafa	mostafa	PROPN
ejpam-597	96	15	/	/	SYM
ejpam-597	96	16	eur	eur	PROPN
ejpam-597	96	17	.	.	PUNCT
ejpam-597	97	1	j.	j.	PROPN
ejpam-597	97	2	pure	pure	PROPN
ejpam-597	97	3	appl	appl	PROPN
ejpam-597	97	4	.	.	PROPN
ejpam-597	97	5	math	math	PROPN
ejpam-597	97	6	,	,	PUNCT
ejpam-597	97	7	3	3	NUM
ejpam-597	97	8	(	(	PUNCT
ejpam-597	97	9	2010	2010	NUM
ejpam-597	97	10	)	)	PUNCT
ejpam-597	97	11	,	,	PUNCT
ejpam-597	97	12	641	641	NUM
ejpam-597	97	13	-	-	SYM
ejpam-597	97	14	652	652	NUM
ejpam-597	97	15	645	645	NUM
ejpam-597	97	16	where	where	SCONJ
ejpam-597	97	17	χg(η	χg(η	NUM
ejpam-597	97	18	,	,	PUNCT
ejpam-597	97	19	δ	δ	PROPN
ejpam-597	97	20	,	,	PUNCT
ejpam-597	97	21	f	f	PROPN
ejpam-597	97	22	)	)	PUNCT
ejpam-597	97	23	is	be	AUX
ejpam-597	97	24	given	give	VERB
ejpam-597	97	25	by	by	ADP
ejpam-597	97	26	χg(η	χg(η	NUM
ejpam-597	97	27	,	,	PUNCT
ejpam-597	97	28	δ	δ	PROPN
ejpam-597	97	29	,	,	PUNCT
ejpam-597	97	30	f	f	PROPN
ejpam-597	97	31	)	)	PUNCT
ejpam-597	98	1	=	=	SYM
ejpam-597	98	2	(	(	PUNCT
ejpam-597	98	3	1+η	1+η	PROPN
ejpam-597	98	4	)	)	PUNCT
ejpam-597	98	5	�	�	PROPN
ejpam-597	98	6	z	z	PROPN
ejpam-597	98	7	(	(	PUNCT
ejpam-597	98	8	f	f	PROPN
ejpam-597	98	9	∗	∗	PROPN
ejpam-597	98	10	g)(z	g)(z	PUNCT
ejpam-597	98	11	)	)	PUNCT
ejpam-597	98	12	�	�	PROPN
ejpam-597	98	13	δ	δ	PROPN
ejpam-597	98	14	−η	−η	PROPN
ejpam-597	98	15	z	z	PROPN
ejpam-597	98	16	�	�	PROPN
ejpam-597	98	17	(	(	PUNCT
ejpam-597	98	18	f	f	PROPN
ejpam-597	98	19	∗	∗	PROPN
ejpam-597	98	20	g)(z	g)(z	PUNCT
ejpam-597	98	21	)	)	PUNCT
ejpam-597	98	22	�	�	PROPN
ejpam-597	98	23	′	′	NUM
ejpam-597	98	24	(	(	PUNCT
ejpam-597	98	25	f	f	PROPN
ejpam-597	98	26	∗	∗	PROPN
ejpam-597	98	27	g)(z	g)(z	NOUN
ejpam-597	98	28	)	)	PUNCT
ejpam-597	98	29	�	�	PROPN
ejpam-597	98	30	z	z	PROPN
ejpam-597	98	31	(	(	PUNCT
ejpam-597	98	32	f	f	PROPN
ejpam-597	98	33	∗	∗	PROPN
ejpam-597	98	34	g)(z	g)(z	PUNCT
ejpam-597	98	35	)	)	PUNCT
ejpam-597	98	36	�	�	PROPN
ejpam-597	98	37	δ	δ	PROPN
ejpam-597	98	38	,	,	PUNCT
ejpam-597	98	39	(	(	PUNCT
ejpam-597	98	40	12	12	NUM
ejpam-597	98	41	)	)	PUNCT
ejpam-597	98	42	then	then	ADV
ejpam-597	98	43	(	(	PUNCT
ejpam-597	98	44	z	z	X
ejpam-597	98	45	(	(	PUNCT
ejpam-597	98	46	f	f	PROPN
ejpam-597	98	47	∗	∗	PROPN
ejpam-597	98	48	g)(z	g)(z	PUNCT
ejpam-597	98	49	)	)	PUNCT
ejpam-597	98	50	)	)	PUNCT
ejpam-597	99	1	δ	δ	PROPN
ejpam-597	99	2	≺	≺	NOUN
ejpam-597	99	3	q(z	q(z	PROPN
ejpam-597	99	4	)	)	PUNCT
ejpam-597	99	5	(	(	PUNCT
ejpam-597	99	6	13	13	NUM
ejpam-597	99	7	)	)	PUNCT
ejpam-597	99	8	and	and	CCONJ
ejpam-597	99	9	q	q	NOUN
ejpam-597	99	10	is	be	AUX
ejpam-597	99	11	the	the	DET
ejpam-597	99	12	best	good	ADJ
ejpam-597	99	13	dominant	dominant	ADJ
ejpam-597	99	14	.	.	PUNCT
ejpam-597	100	1	proof	proof	NOUN
ejpam-597	100	2	.	.	PUNCT
ejpam-597	101	1	define	define	VERB
ejpam-597	101	2	a	a	DET
ejpam-597	101	3	function	function	NOUN
ejpam-597	101	4	p	p	NOUN
ejpam-597	101	5	by	by	ADP
ejpam-597	101	6	p(z	p(z	NOUN
ejpam-597	101	7	)	)	PUNCT
ejpam-597	101	8	=	=	PRON
ejpam-597	102	1	(	(	PUNCT
ejpam-597	102	2	z	z	X
ejpam-597	102	3	(	(	PUNCT
ejpam-597	102	4	f	f	PROPN
ejpam-597	102	5	∗	∗	PROPN
ejpam-597	102	6	g)(z	g)(z	PUNCT
ejpam-597	102	7	)	)	PUNCT
ejpam-597	102	8	)	)	PUNCT
ejpam-597	102	9	δ	δ	PROPN
ejpam-597	102	10	.	.	PUNCT
ejpam-597	103	1	(	(	PUNCT
ejpam-597	103	2	14	14	NUM
ejpam-597	103	3	)	)	PUNCT
ejpam-597	103	4	then	then	ADV
ejpam-597	103	5	the	the	DET
ejpam-597	103	6	function	function	NOUN
ejpam-597	103	7	p	p	NOUN
ejpam-597	103	8	is	be	AUX
ejpam-597	103	9	analytic	analytic	ADJ
ejpam-597	103	10	in	in	ADP
ejpam-597	103	11	u	u	NOUN
ejpam-597	103	12	and	and	CCONJ
ejpam-597	103	13	p(0	p(0	PROPN
ejpam-597	103	14	)	)	PUNCT
ejpam-597	103	15	=	=	SYM
ejpam-597	104	1	1	1	X
ejpam-597	104	2	.	.	PUNCT
ejpam-597	104	3	therefore	therefore	ADV
ejpam-597	104	4	,	,	PUNCT
ejpam-597	104	5	by	by	ADP
ejpam-597	104	6	differentiating	differentiate	VERB
ejpam-597	104	7	(	(	PUNCT
ejpam-597	104	8	14	14	NUM
ejpam-597	104	9	)	)	PUNCT
ejpam-597	104	10	logarithmically	logarithmically	ADV
ejpam-597	104	11	with	with	ADP
ejpam-597	104	12	respect	respect	NOUN
ejpam-597	104	13	to	to	ADP
ejpam-597	104	14	z	z	NOUN
ejpam-597	104	15	,	,	PUNCT
ejpam-597	104	16	we	we	PRON
ejpam-597	104	17	have	have	AUX
ejpam-597	104	18	p(z	p(z	VERB
ejpam-597	104	19	)	)	PUNCT
ejpam-597	105	1	+	+	CCONJ
ejpam-597	105	2	η	η	PROPN
ejpam-597	105	3	δ	δ	PROPN
ejpam-597	105	4	zp′(z	zp′(z	PROPN
ejpam-597	105	5	)	)	PUNCT
ejpam-597	106	1	=	=	PRON
ejpam-597	107	1	(	(	PUNCT
ejpam-597	107	2	1+η	1+η	PROPN
ejpam-597	107	3	)	)	PUNCT
ejpam-597	107	4	�	�	PROPN
ejpam-597	107	5	z	z	PROPN
ejpam-597	108	1	(	(	PUNCT
ejpam-597	108	2	f	f	PROPN
ejpam-597	108	3	∗	∗	PROPN
ejpam-597	108	4	g)(z	g)(z	PUNCT
ejpam-597	108	5	)	)	PUNCT
ejpam-597	108	6	�	�	PROPN
ejpam-597	108	7	δ	δ	PROPN
ejpam-597	108	8	−η	−η	PROPN
ejpam-597	108	9	z	z	PROPN
ejpam-597	108	10	�	�	PROPN
ejpam-597	108	11	(	(	PUNCT
ejpam-597	108	12	f	f	PROPN
ejpam-597	108	13	∗	∗	PROPN
ejpam-597	108	14	g)(z	g)(z	PUNCT
ejpam-597	108	15	)	)	PUNCT
ejpam-597	108	16	�	�	PROPN
ejpam-597	108	17	′	′	NUM
ejpam-597	108	18	(	(	PUNCT
ejpam-597	108	19	f	f	PROPN
ejpam-597	108	20	∗	∗	PROPN
ejpam-597	108	21	g)(z	g)(z	NOUN
ejpam-597	108	22	)	)	PUNCT
ejpam-597	108	23	�	�	PROPN
ejpam-597	108	24	z	z	PROPN
ejpam-597	108	25	(	(	PUNCT
ejpam-597	108	26	f	f	PROPN
ejpam-597	108	27	∗	∗	PROPN
ejpam-597	108	28	g)(z	g)(z	PUNCT
ejpam-597	108	29	)	)	PUNCT
ejpam-597	108	30	�	�	PROPN
ejpam-597	108	31	δ	δ	PROPN
ejpam-597	108	32	.	.	PUNCT
ejpam-597	109	1	(	(	PUNCT
ejpam-597	109	2	15	15	X
ejpam-597	109	3	)	)	PUNCT
ejpam-597	109	4	using	use	VERB
ejpam-597	109	5	(	(	PUNCT
ejpam-597	109	6	11	11	NUM
ejpam-597	109	7	)	)	PUNCT
ejpam-597	109	8	and	and	CCONJ
ejpam-597	109	9	(	(	PUNCT
ejpam-597	109	10	15	15	NUM
ejpam-597	109	11	)	)	PUNCT
ejpam-597	109	12	,	,	PUNCT
ejpam-597	109	13	we	we	PRON
ejpam-597	109	14	have	have	AUX
ejpam-597	109	15	p(z	p(z	VERB
ejpam-597	109	16	)	)	PUNCT
ejpam-597	110	1	+	+	CCONJ
ejpam-597	110	2	η	η	PROPN
ejpam-597	110	3	δ	δ	PROPN
ejpam-597	110	4	zp′(z	zp′(z	PROPN
ejpam-597	110	5	)	)	PUNCT
ejpam-597	110	6	≺	≺	NOUN
ejpam-597	110	7	q(z	q(z	PROPN
ejpam-597	110	8	)	)	PUNCT
ejpam-597	110	9	+	+	NUM
ejpam-597	110	10	η	η	PROPN
ejpam-597	110	11	δ	δ	PROPN
ejpam-597	110	12	zq′(z	zq′(z	PROPN
ejpam-597	110	13	)	)	PUNCT
ejpam-597	110	14	.	.	PUNCT
ejpam-597	111	1	(	(	PUNCT
ejpam-597	111	2	16	16	NUM
ejpam-597	111	3	)	)	PUNCT
ejpam-597	111	4	hence	hence	ADV
ejpam-597	111	5	,	,	PUNCT
ejpam-597	111	6	the	the	DET
ejpam-597	111	7	assertion	assertion	NOUN
ejpam-597	111	8	(	(	PUNCT
ejpam-597	111	9	13	13	NUM
ejpam-597	111	10	)	)	PUNCT
ejpam-597	111	11	now	now	ADV
ejpam-597	111	12	follows	follow	VERB
ejpam-597	111	13	by	by	ADP
ejpam-597	111	14	using	use	VERB
ejpam-597	111	15	lemma	lemma	PROPN
ejpam-597	111	16	2	2	NUM
ejpam-597	111	17	with	with	ADP
ejpam-597	111	18	γ	γ	X
ejpam-597	111	19	=	=	SYM
ejpam-597	111	20	η	η	PROPN
ejpam-597	111	21	δ	δ	PROPN
ejpam-597	111	22	and	and	CCONJ
ejpam-597	111	23	µ	µ	X
ejpam-597	111	24	=	=	SYM
ejpam-597	111	25	1	1	X
ejpam-597	111	26	.	.	X
ejpam-597	111	27	putting	put	VERB
ejpam-597	111	28	q(z	q(z	PROPN
ejpam-597	111	29	)	)	PUNCT
ejpam-597	111	30	=	=	PUNCT
ejpam-597	112	1	(	(	PUNCT
ejpam-597	112	2	1	1	NUM
ejpam-597	112	3	+	+	NUM
ejpam-597	112	4	az)/(1	az)/(1	ADJ
ejpam-597	112	5	+	+	CCONJ
ejpam-597	112	6	bz	bz	X
ejpam-597	112	7	)	)	PUNCT
ejpam-597	112	8	(	(	PUNCT
ejpam-597	112	9	−1	−1	NOUN
ejpam-597	112	10	≤	≤	NUM
ejpam-597	112	11	b	b	NOUN
ejpam-597	112	12	<	<	X
ejpam-597	112	13	a	a	DET
ejpam-597	112	14	≤	≤	NUM
ejpam-597	112	15	1	1	NUM
ejpam-597	112	16	)	)	PUNCT
ejpam-597	112	17	in	in	ADP
ejpam-597	112	18	theorem	theorem	NOUN
ejpam-597	112	19	1	1	NUM
ejpam-597	112	20	,	,	PUNCT
ejpam-597	112	21	the	the	DET
ejpam-597	112	22	condition	condition	NOUN
ejpam-597	112	23	(	(	PUNCT
ejpam-597	112	24	10	10	NUM
ejpam-597	112	25	)	)	PUNCT
ejpam-597	112	26	becomes	become	VERB
ejpam-597	112	27	re	re	VERB
ejpam-597	112	28	�	�	PROPN
ejpam-597	112	29	1−	1−	NUM
ejpam-597	112	30	bz	bz	PROPN
ejpam-597	112	31	1	1	NUM
ejpam-597	112	32	+	+	CCONJ
ejpam-597	112	33	bz	bz	PROPN
ejpam-597	112	34	+	+	CCONJ
ejpam-597	112	35	δ	δ	PROPN
ejpam-597	112	36	η	η	PROPN
ejpam-597	112	37	�	�	PROPN
ejpam-597	112	38	>	>	X
ejpam-597	112	39	0	0	PROPN
ejpam-597	112	40	,	,	PUNCT
ejpam-597	112	41	z	z	PROPN
ejpam-597	112	42	∈	∈	PROPN
ejpam-597	112	43	u	u	NOUN
ejpam-597	112	44	.	.	PUNCT
ejpam-597	113	1	(	(	PUNCT
ejpam-597	113	2	17	17	NUM
ejpam-597	113	3	)	)	PUNCT
ejpam-597	113	4	it	it	PRON
ejpam-597	113	5	is	be	AUX
ejpam-597	113	6	easy	easy	ADJ
ejpam-597	113	7	to	to	PART
ejpam-597	113	8	check	check	VERB
ejpam-597	113	9	that	that	SCONJ
ejpam-597	113	10	the	the	DET
ejpam-597	113	11	function	function	NOUN
ejpam-597	113	12	φ(z	φ(z	PROPN
ejpam-597	113	13	)	)	PUNCT
ejpam-597	113	14	=	=	SYM
ejpam-597	114	1	1−ζ	1−ζ	NUM
ejpam-597	114	2	1+ζ	1+ζ	NUM
ejpam-597	114	3	,	,	PUNCT
ejpam-597	114	4	|ζ|	|ζ|	PROPN
ejpam-597	114	5	<	<	X
ejpam-597	114	6	|b|	|b|	PROPN
ejpam-597	114	7	≤	≤	ADV
ejpam-597	114	8	1	1	NUM
ejpam-597	114	9	,	,	PUNCT
ejpam-597	114	10	is	be	AUX
ejpam-597	114	11	convex	convex	ADJ
ejpam-597	114	12	in	in	ADP
ejpam-597	114	13	u	u	NOUN
ejpam-597	114	14	,	,	PUNCT
ejpam-597	114	15	and	and	CCONJ
ejpam-597	114	16	since	since	SCONJ
ejpam-597	114	17	φ(ζ	φ(ζ	NOUN
ejpam-597	114	18	)	)	PUNCT
ejpam-597	114	19	=	=	SYM
ejpam-597	114	20	φ(ζ	φ(ζ	NOUN
ejpam-597	114	21	)	)	PUNCT
ejpam-597	114	22	for	for	ADP
ejpam-597	114	23	all	all	DET
ejpam-597	114	24	|ζ|	|ζ|	NOUN
ejpam-597	114	25	<	<	X
ejpam-597	114	26	|b|	|b|	PROPN
ejpam-597	114	27	,	,	PUNCT
ejpam-597	114	28	it	it	PRON
ejpam-597	114	29	follows	follow	VERB
ejpam-597	114	30	that	that	SCONJ
ejpam-597	114	31	the	the	DET
ejpam-597	114	32	image	image	NOUN
ejpam-597	114	33	φ(u	φ(u	NOUN
ejpam-597	114	34	)	)	PUNCT
ejpam-597	114	35	is	be	AUX
ejpam-597	114	36	a	a	DET
ejpam-597	114	37	convex	convex	ADJ
ejpam-597	114	38	domain	domain	NOUN
ejpam-597	114	39	symmetric	symmetric	NOUN
ejpam-597	114	40	with	with	ADP
ejpam-597	114	41	respect	respect	NOUN
ejpam-597	114	42	to	to	ADP
ejpam-597	114	43	the	the	DET
ejpam-597	114	44	real	real	ADJ
ejpam-597	114	45	axis	axis	NOUN
ejpam-597	114	46	,	,	PUNCT
ejpam-597	114	47	hence	hence	ADV
ejpam-597	114	48	inf	inf	PROPN
ejpam-597	114	49	�	�	PROPN
ejpam-597	114	50	re	re	PROPN
ejpam-597	114	51	1−	1−	PROPN
ejpam-597	114	52	bz	bz	PROPN
ejpam-597	115	1	1	1	NUM
ejpam-597	115	2	+	+	CCONJ
ejpam-597	115	3	bz	bz	PROPN
ejpam-597	115	4	�	�	PROPN
ejpam-597	115	5	=	=	SYM
ejpam-597	115	6	1−	1−	NUM
ejpam-597	115	7	|b|	|b|	PROPN
ejpam-597	115	8	1	1	NUM
ejpam-597	115	9	+	+	NUM
ejpam-597	115	10	|b|	|b|	PROPN
ejpam-597	115	11	¾	¾	PROPN
ejpam-597	115	12	0	0	NUM
ejpam-597	115	13	.	.	PUNCT
ejpam-597	116	1	then	then	ADV
ejpam-597	116	2	,	,	PUNCT
ejpam-597	116	3	the	the	DET
ejpam-597	116	4	inequality	inequality	NOUN
ejpam-597	116	5	(	(	PUNCT
ejpam-597	116	6	17	17	NUM
ejpam-597	116	7	)	)	PUNCT
ejpam-597	116	8	is	be	AUX
ejpam-597	116	9	equivalent	equivalent	ADJ
ejpam-597	116	10	to	to	PART
ejpam-597	116	11	re	re	VERB
ejpam-597	116	12	η	η	PROPN
ejpam-597	116	13	δ	δ	PROPN
ejpam-597	116	14	¾	¾	PROPN
ejpam-597	116	15	|b|	|b|	VERB
ejpam-597	116	16	−	−	PROPN
ejpam-597	116	17	1	1	NUM
ejpam-597	116	18	1	1	NUM
ejpam-597	116	19	+	+	CCONJ
ejpam-597	116	20	|b|	|b|	PROPN
ejpam-597	116	21	,	,	PUNCT
ejpam-597	116	22	(	(	PUNCT
ejpam-597	116	23	18	18	NUM
ejpam-597	116	24	)	)	PUNCT
ejpam-597	116	25	hence	hence	ADV
ejpam-597	116	26	,	,	PUNCT
ejpam-597	116	27	we	we	PRON
ejpam-597	116	28	have	have	VERB
ejpam-597	116	29	the	the	DET
ejpam-597	116	30	following	follow	VERB
ejpam-597	116	31	corollary	corollary	NOUN
ejpam-597	116	32	.	.	PUNCT
ejpam-597	117	1	m.	m.	PROPN
ejpam-597	117	2	aouf	aouf	PROPN
ejpam-597	117	3	and	and	CCONJ
ejpam-597	117	4	a.	a.	PROPN
ejpam-597	117	5	mostafa	mostafa	PROPN
ejpam-597	117	6	/	/	SYM
ejpam-597	117	7	eur	eur	PROPN
ejpam-597	117	8	.	.	PUNCT
ejpam-597	118	1	j.	j.	PROPN
ejpam-597	118	2	pure	pure	PROPN
ejpam-597	118	3	appl	appl	PROPN
ejpam-597	118	4	.	.	PROPN
ejpam-597	118	5	math	math	PROPN
ejpam-597	118	6	,	,	PUNCT
ejpam-597	118	7	3	3	NUM
ejpam-597	118	8	(	(	PUNCT
ejpam-597	118	9	2010	2010	NUM
ejpam-597	118	10	)	)	PUNCT
ejpam-597	118	11	,	,	PUNCT
ejpam-597	118	12	641	641	NUM
ejpam-597	118	13	-	-	SYM
ejpam-597	118	14	652	652	NUM
ejpam-597	118	15	646	646	NUM
ejpam-597	118	16	corollary	corollary	ADJ
ejpam-597	118	17	1	1	NUM
ejpam-597	118	18	.	.	PUNCT
ejpam-597	119	1	let	let	AUX
ejpam-597	119	2	−1≤	−1≤	VERB
ejpam-597	119	3	b	b	ADP
ejpam-597	119	4	<	<	X
ejpam-597	119	5	a≤	a≤	DET
ejpam-597	119	6	1	1	NUM
ejpam-597	119	7	and	and	CCONJ
ejpam-597	119	8	(	(	PUNCT
ejpam-597	119	9	18	18	NUM
ejpam-597	119	10	)	)	PUNCT
ejpam-597	119	11	holds	hold	VERB
ejpam-597	119	12	.	.	PUNCT
ejpam-597	120	1	if	if	SCONJ
ejpam-597	120	2	f	f	PROPN
ejpam-597	120	3	(	(	PUNCT
ejpam-597	120	4	z	z	NOUN
ejpam-597	120	5	)	)	PUNCT
ejpam-597	120	6	∈	∈	PROPN
ejpam-597	120	7	s	s	PART
ejpam-597	120	8	with	with	ADP
ejpam-597	120	9	(	(	PUNCT
ejpam-597	120	10	f	f	PROPN
ejpam-597	120	11	∗	∗	NOUN
ejpam-597	120	12	g)(z	g)(z	PUNCT
ejpam-597	120	13	)	)	PUNCT
ejpam-597	120	14	6=	6=	ADP
ejpam-597	120	15	0	0	NUM
ejpam-597	120	16	,	,	PUNCT
ejpam-597	120	17	z	z	PROPN
ejpam-597	120	18	∈	∈	PROPN
ejpam-597	120	19	u∗	u∗	NOUN
ejpam-597	120	20	and	and	CCONJ
ejpam-597	120	21	χg(η	χg(η	NUM
ejpam-597	120	22	,	,	PUNCT
ejpam-597	120	23	δ	δ	PROPN
ejpam-597	120	24	,	,	PUNCT
ejpam-597	120	25	f	f	PROPN
ejpam-597	120	26	)	)	PUNCT
ejpam-597	120	27	≺	≺	NOUN
ejpam-597	120	28	1	1	NUM
ejpam-597	120	29	+	+	NUM
ejpam-597	120	30	az	az	PROPN
ejpam-597	120	31	1	1	NUM
ejpam-597	120	32	+	+	CCONJ
ejpam-597	120	33	bz	bz	PROPN
ejpam-597	120	34	+	+	CCONJ
ejpam-597	120	35	η	η	PROPN
ejpam-597	120	36	δ	δ	PROPN
ejpam-597	120	37	(	(	PUNCT
ejpam-597	120	38	a−	a−	PROPN
ejpam-597	120	39	b)z	b)z	X
ejpam-597	120	40	(	(	PUNCT
ejpam-597	120	41	1	1	NUM
ejpam-597	120	42	+	+	CCONJ
ejpam-597	120	43	bz)2	bz)2	NOUN
ejpam-597	120	44	,	,	PUNCT
ejpam-597	120	45	where	where	SCONJ
ejpam-597	120	46	χg(η	χg(η	NUM
ejpam-597	120	47	,	,	PUNCT
ejpam-597	120	48	δ	δ	PROPN
ejpam-597	120	49	,	,	PUNCT
ejpam-597	120	50	f	f	PROPN
ejpam-597	120	51	)	)	PUNCT
ejpam-597	120	52	is	be	AUX
ejpam-597	120	53	given	give	VERB
ejpam-597	120	54	by	by	ADP
ejpam-597	120	55	(	(	PUNCT
ejpam-597	120	56	12	12	NUM
ejpam-597	120	57	)	)	PUNCT
ejpam-597	120	58	,	,	PUNCT
ejpam-597	120	59	then	then	ADV
ejpam-597	120	60	�	�	PROPN
ejpam-597	120	61	z	z	PROPN
ejpam-597	120	62	(	(	PUNCT
ejpam-597	120	63	f	f	PROPN
ejpam-597	120	64	∗	∗	PROPN
ejpam-597	120	65	g)(z	g)(z	PUNCT
ejpam-597	120	66	)	)	PUNCT
ejpam-597	120	67	�	�	PROPN
ejpam-597	120	68	δ	δ	NOUN
ejpam-597	120	69	≺	≺	NOUN
ejpam-597	120	70	1	1	NUM
ejpam-597	120	71	+	+	NUM
ejpam-597	120	72	az	az	PROPN
ejpam-597	120	73	1	1	NUM
ejpam-597	120	74	+	+	CCONJ
ejpam-597	120	75	bz	bz	PROPN
ejpam-597	120	76	,	,	PUNCT
ejpam-597	120	77	and	and	CCONJ
ejpam-597	120	78	1+az	1+az	NUM
ejpam-597	120	79	1+bz	1+bz	NUM
ejpam-597	120	80	is	be	AUX
ejpam-597	120	81	the	the	DET
ejpam-597	120	82	best	good	ADJ
ejpam-597	120	83	dominant	dominant	NOUN
ejpam-597	120	84	.	.	PUNCT
ejpam-597	121	1	putting	put	VERB
ejpam-597	121	2	g(z	g(z	PROPN
ejpam-597	121	3	)	)	PUNCT
ejpam-597	122	1	=	=	SYM
ejpam-597	122	2	z(1−	z(1−	PROPN
ejpam-597	122	3	z)−1	z)−1	NUM
ejpam-597	122	4	and	and	CCONJ
ejpam-597	122	5	g(z	g(z	PROPN
ejpam-597	122	6	)	)	PUNCT
ejpam-597	123	1	=	=	SYM
ejpam-597	123	2	z(1−	z(1−	PROPN
ejpam-597	123	3	z)−2	z)−2	NOUN
ejpam-597	123	4	,	,	PUNCT
ejpam-597	123	5	respectively	respectively	ADV
ejpam-597	123	6	,	,	PUNCT
ejpam-597	123	7	in	in	ADP
ejpam-597	123	8	theorem	theorem	NOUN
ejpam-597	123	9	1	1	NUM
ejpam-597	123	10	,	,	PUNCT
ejpam-597	123	11	we	we	PRON
ejpam-597	123	12	have	have	VERB
ejpam-597	123	13	the	the	DET
ejpam-597	123	14	result	result	NOUN
ejpam-597	123	15	obtained	obtain	VERB
ejpam-597	123	16	by	by	ADP
ejpam-597	123	17	shanmugam	shanmugam	PROPN
ejpam-597	123	18	et	et	PROPN
ejpam-597	123	19	al	al	PROPN
ejpam-597	123	20	.	.	PUNCT
ejpam-597	124	1	[	[	X
ejpam-597	124	2	24	24	NUM
ejpam-597	124	3	,	,	PUNCT
ejpam-597	124	4	corollaries	corollary	NOUN
ejpam-597	124	5	3.2	3.2	NUM
ejpam-597	124	6	and	and	CCONJ
ejpam-597	124	7	3.3	3.3	NUM
ejpam-597	124	8	,	,	PUNCT
ejpam-597	124	9	respectively	respectively	ADV
ejpam-597	124	10	]	]	PUNCT
ejpam-597	124	11	.	.	PUNCT
ejpam-597	125	1	taking	take	VERB
ejpam-597	125	2	g(z	g(z	PROPN
ejpam-597	125	3	)	)	PUNCT
ejpam-597	125	4	of	of	ADP
ejpam-597	125	5	the	the	DET
ejpam-597	125	6	form	form	NOUN
ejpam-597	125	7	(	(	PUNCT
ejpam-597	125	8	5	5	NUM
ejpam-597	125	9	)	)	PUNCT
ejpam-597	125	10	,	,	PUNCT
ejpam-597	125	11	and	and	CCONJ
ejpam-597	125	12	using	use	VERB
ejpam-597	125	13	the	the	DET
ejpam-597	125	14	identity	identity	NOUN
ejpam-597	125	15	(	(	PUNCT
ejpam-597	125	16	see	see	VERB
ejpam-597	125	17	[	[	X
ejpam-597	125	18	9	9	NUM
ejpam-597	125	19	]	]	SYM
ejpam-597	125	20	)	)	PUNCT
ejpam-597	125	21	z	z	PROPN
ejpam-597	125	22	�	�	PROPN
ejpam-597	125	23	hl	hl	PROPN
ejpam-597	125	24	,	,	PUNCT
ejpam-597	125	25	s(α1	s(α1	NOUN
ejpam-597	125	26	)	)	PUNCT
ejpam-597	126	1	f	f	PROPN
ejpam-597	126	2	(	(	PUNCT
ejpam-597	126	3	z	z	NOUN
ejpam-597	126	4	)	)	PUNCT
ejpam-597	126	5	�	�	PROPN
ejpam-597	126	6	′	′	NUM
ejpam-597	126	7	=	=	SYM
ejpam-597	126	8	α1hl	α1hl	NOUN
ejpam-597	126	9	,	,	PUNCT
ejpam-597	126	10	s(α1	s(α1	NOUN
ejpam-597	126	11	+	+	CCONJ
ejpam-597	126	12	1	1	X
ejpam-597	126	13	)	)	PUNCT
ejpam-597	126	14	f	f	NOUN
ejpam-597	126	15	(	(	PUNCT
ejpam-597	126	16	z)−	z)−	X
ejpam-597	126	17	(	(	PUNCT
ejpam-597	126	18	α1−	α1−	PROPN
ejpam-597	126	19	1)hl	1)hl	NUM
ejpam-597	126	20	,	,	PUNCT
ejpam-597	126	21	s(α1	s(α1	NOUN
ejpam-597	126	22	)	)	PUNCT
ejpam-597	127	1	f	f	PROPN
ejpam-597	127	2	(	(	PUNCT
ejpam-597	127	3	z	z	NOUN
ejpam-597	127	4	)	)	PUNCT
ejpam-597	127	5	,	,	PUNCT
ejpam-597	127	6	(	(	PUNCT
ejpam-597	127	7	19	19	NUM
ejpam-597	127	8	)	)	PUNCT
ejpam-597	127	9	then	then	ADV
ejpam-597	127	10	we	we	PRON
ejpam-597	127	11	have	have	VERB
ejpam-597	127	12	the	the	DET
ejpam-597	127	13	following	follow	VERB
ejpam-597	127	14	corollary	corollary	NOUN
ejpam-597	127	15	.	.	PUNCT
ejpam-597	128	1	corollary	corollary	ADJ
ejpam-597	128	2	2	2	NUM
ejpam-597	128	3	.	.	PUNCT
ejpam-597	129	1	let	let	VERB
ejpam-597	129	2	q	q	PART
ejpam-597	129	3	be	be	AUX
ejpam-597	129	4	univalent	univalent	ADJ
ejpam-597	129	5	in	in	ADP
ejpam-597	129	6	u	u	NOUN
ejpam-597	129	7	and	and	CCONJ
ejpam-597	129	8	satisfies	satisfie	NOUN
ejpam-597	129	9	(	(	PUNCT
ejpam-597	129	10	10	10	NUM
ejpam-597	129	11	)	)	PUNCT
ejpam-597	129	12	.	.	PUNCT
ejpam-597	130	1	if	if	SCONJ
ejpam-597	130	2	f	f	PROPN
ejpam-597	130	3	∈	∈	PROPN
ejpam-597	130	4	s	s	VERB
ejpam-597	130	5	with	with	ADP
ejpam-597	130	6	hl	hl	NOUN
ejpam-597	130	7	,	,	PUNCT
ejpam-597	130	8	s(α1	s(α1	NOUN
ejpam-597	130	9	)	)	PUNCT
ejpam-597	130	10	f	f	PROPN
ejpam-597	130	11	(	(	PUNCT
ejpam-597	130	12	z	z	NOUN
ejpam-597	130	13	)	)	PUNCT
ejpam-597	130	14	6=	6=	ADP
ejpam-597	130	15	0	0	NUM
ejpam-597	130	16	,	,	PUNCT
ejpam-597	130	17	z	z	PROPN
ejpam-597	130	18	∈	∈	NOUN
ejpam-597	130	19	u∗	u∗	ADJ
ejpam-597	130	20	,	,	PUNCT
ejpam-597	130	21	and	and	CCONJ
ejpam-597	130	22	satisfies	satisfy	VERB
ejpam-597	130	23	the	the	DET
ejpam-597	130	24	subordination	subordination	NOUN
ejpam-597	130	25	χ1(α1,η	χ1(α1,η	NOUN
ejpam-597	130	26	,	,	PUNCT
ejpam-597	130	27	δ	δ	PROPN
ejpam-597	130	28	,	,	PUNCT
ejpam-597	130	29	f	f	PROPN
ejpam-597	130	30	)	)	PUNCT
ejpam-597	130	31	≺	≺	NOUN
ejpam-597	130	32	q(z	q(z	PROPN
ejpam-597	130	33	)	)	PUNCT
ejpam-597	130	34	+	+	NUM
ejpam-597	130	35	η	η	PROPN
ejpam-597	130	36	δ	δ	PROPN
ejpam-597	130	37	zq′(z	zq′(z	PROPN
ejpam-597	130	38	)	)	PUNCT
ejpam-597	130	39	,	,	PUNCT
ejpam-597	130	40	where	where	SCONJ
ejpam-597	130	41	χ1(α1,η	χ1(α1,η	NOUN
ejpam-597	130	42	,	,	PUNCT
ejpam-597	130	43	δ	δ	PROPN
ejpam-597	130	44	,	,	PUNCT
ejpam-597	130	45	f	f	PROPN
ejpam-597	130	46	)	)	PUNCT
ejpam-597	130	47	is	be	AUX
ejpam-597	130	48	given	give	VERB
ejpam-597	130	49	by	by	ADP
ejpam-597	130	50	χ1(α1,η	χ1(α1,η	PROPN
ejpam-597	130	51	,	,	PUNCT
ejpam-597	130	52	δ	δ	PROPN
ejpam-597	130	53	,	,	PUNCT
ejpam-597	130	54	f	f	PROPN
ejpam-597	130	55	)	)	PUNCT
ejpam-597	131	1	=	=	PUNCT
ejpam-597	131	2	(	(	PUNCT
ejpam-597	131	3	1+α1η	1+α1η	NUM
ejpam-597	131	4	)	)	PUNCT
ejpam-597	131	5	�	�	PROPN
ejpam-597	131	6	z	z	PROPN
ejpam-597	131	7	hl	hl	NOUN
ejpam-597	131	8	,	,	PUNCT
ejpam-597	131	9	s(α1	s(α1	NOUN
ejpam-597	131	10	)	)	PUNCT
ejpam-597	132	1	f	f	PROPN
ejpam-597	132	2	(	(	PUNCT
ejpam-597	132	3	z	z	NOUN
ejpam-597	132	4	)	)	PUNCT
ejpam-597	132	5	�	�	PROPN
ejpam-597	132	6	δ	δ	PROPN
ejpam-597	132	7	−α1η	−α1η	NUM
ejpam-597	132	8	hl	hl	NOUN
ejpam-597	132	9	,	,	PUNCT
ejpam-597	132	10	s(α1	s(α1	NOUN
ejpam-597	132	11	+	+	CCONJ
ejpam-597	132	12	1	1	X
ejpam-597	132	13	)	)	PUNCT
ejpam-597	132	14	f	f	NOUN
ejpam-597	132	15	(	(	PUNCT
ejpam-597	132	16	z	z	NOUN
ejpam-597	132	17	)	)	PUNCT
ejpam-597	132	18	hl	hl	NOUN
ejpam-597	132	19	,	,	PUNCT
ejpam-597	132	20	s(α1	s(α1	NOUN
ejpam-597	132	21	)	)	PUNCT
ejpam-597	133	1	f	f	PROPN
ejpam-597	133	2	(	(	PUNCT
ejpam-597	133	3	z	z	NOUN
ejpam-597	133	4	)	)	PUNCT
ejpam-597	133	5	�	�	PROPN
ejpam-597	133	6	z	z	PROPN
ejpam-597	133	7	hl	hl	NOUN
ejpam-597	133	8	,	,	PUNCT
ejpam-597	133	9	s(α1	s(α1	NOUN
ejpam-597	133	10	)	)	PUNCT
ejpam-597	134	1	f	f	PROPN
ejpam-597	134	2	(	(	PUNCT
ejpam-597	134	3	z	z	NOUN
ejpam-597	134	4	)	)	PUNCT
ejpam-597	134	5	�	�	PROPN
ejpam-597	134	6	δ	δ	PROPN
ejpam-597	134	7	,	,	PUNCT
ejpam-597	134	8	(	(	PUNCT
ejpam-597	134	9	20	20	NUM
ejpam-597	134	10	)	)	PUNCT
ejpam-597	134	11	then	then	ADV
ejpam-597	134	12	�	�	PROPN
ejpam-597	134	13	z	z	PROPN
ejpam-597	134	14	hl	hl	NOUN
ejpam-597	134	15	,	,	PUNCT
ejpam-597	134	16	s(α1	s(α1	NOUN
ejpam-597	134	17	)	)	PUNCT
ejpam-597	135	1	f	f	PROPN
ejpam-597	135	2	(	(	PUNCT
ejpam-597	135	3	z	z	NOUN
ejpam-597	135	4	)	)	PUNCT
ejpam-597	135	5	�	�	PROPN
ejpam-597	135	6	δ	δ	PROPN
ejpam-597	135	7	≺	≺	NOUN
ejpam-597	135	8	q(z	q(z	PROPN
ejpam-597	135	9	)	)	PUNCT
ejpam-597	135	10	and	and	CCONJ
ejpam-597	135	11	q	q	NOUN
ejpam-597	135	12	is	be	AUX
ejpam-597	135	13	the	the	DET
ejpam-597	135	14	best	good	ADJ
ejpam-597	135	15	dominant	dominant	NOUN
ejpam-597	135	16	.	.	PUNCT
ejpam-597	136	1	letting	let	VERB
ejpam-597	136	2	g	g	NOUN
ejpam-597	136	3	be	be	AUX
ejpam-597	136	4	of	of	ADP
ejpam-597	136	5	the	the	DET
ejpam-597	136	6	form	form	NOUN
ejpam-597	136	7	(	(	PUNCT
ejpam-597	136	8	6	6	NUM
ejpam-597	136	9	)	)	PUNCT
ejpam-597	136	10	,	,	PUNCT
ejpam-597	136	11	and	and	CCONJ
ejpam-597	136	12	using	use	VERB
ejpam-597	136	13	the	the	DET
ejpam-597	136	14	identity	identity	NOUN
ejpam-597	136	15	(	(	PUNCT
ejpam-597	136	16	see	see	VERB
ejpam-597	136	17	[	[	X
ejpam-597	136	18	7	7	NUM
ejpam-597	136	19	]	]	PUNCT
ejpam-597	136	20	)	)	PUNCT
ejpam-597	137	1	λz	λz	PRON
ejpam-597	137	2	�	�	PROPN
ejpam-597	137	3	im(λ	im(λ	NOUN
ejpam-597	137	4	,	,	PUNCT
ejpam-597	137	5	l	l	NOUN
ejpam-597	137	6	)	)	PUNCT
ejpam-597	137	7	f	f	NOUN
ejpam-597	137	8	(	(	PUNCT
ejpam-597	137	9	z	z	NOUN
ejpam-597	137	10	)	)	PUNCT
ejpam-597	137	11	�	�	PROPN
ejpam-597	137	12	′	′	NOUN
ejpam-597	137	13	=	=	SYM
ejpam-597	137	14	(	(	PUNCT
ejpam-597	137	15	l	l	NOUN
ejpam-597	137	16	+	+	X
ejpam-597	137	17	1)im+1(λ	1)im+1(λ	NOUN
ejpam-597	137	18	,	,	PUNCT
ejpam-597	137	19	l	l	NOUN
ejpam-597	137	20	)	)	PUNCT
ejpam-597	137	21	f	f	NOUN
ejpam-597	137	22	(	(	PUNCT
ejpam-597	137	23	z)−	z)−	X
ejpam-597	137	24	(	(	PUNCT
ejpam-597	137	25	1	1	NUM
ejpam-597	137	26	+	+	NUM
ejpam-597	137	27	l	l	NOUN
ejpam-597	137	28	−λ)im(λ	−λ)im(λ	NOUN
ejpam-597	137	29	,	,	PUNCT
ejpam-597	137	30	l	l	NOUN
ejpam-597	137	31	)	)	PUNCT
ejpam-597	137	32	f	f	NOUN
ejpam-597	137	33	(	(	PUNCT
ejpam-597	137	34	z	z	NOUN
ejpam-597	137	35	)	)	PUNCT
ejpam-597	137	36	(	(	PUNCT
ejpam-597	137	37	λ	λ	X
ejpam-597	137	38	>	>	X
ejpam-597	137	39	0	0	NUM
ejpam-597	137	40	;	;	PUNCT
ejpam-597	137	41	l	l	PROPN
ejpam-597	137	42	¾	¾	PROPN
ejpam-597	137	43	0	0	NUM
ejpam-597	137	44	;	;	PUNCT
ejpam-597	137	45	m	m	PROPN
ejpam-597	137	46	∈	∈	PROPN
ejpam-597	137	47	n0	n0	NUM
ejpam-597	137	48	)	)	PUNCT
ejpam-597	137	49	,	,	PUNCT
ejpam-597	137	50	(	(	PUNCT
ejpam-597	137	51	21	21	NUM
ejpam-597	137	52	)	)	PUNCT
ejpam-597	137	53	then	then	ADV
ejpam-597	137	54	we	we	PRON
ejpam-597	137	55	have	have	VERB
ejpam-597	137	56	the	the	DET
ejpam-597	137	57	following	follow	VERB
ejpam-597	137	58	corollary	corollary	NOUN
ejpam-597	137	59	.	.	PUNCT
ejpam-597	138	1	corollary	corollary	ADJ
ejpam-597	138	2	3	3	X
ejpam-597	138	3	.	.	PUNCT
ejpam-597	139	1	let	let	VERB
ejpam-597	139	2	q	q	PART
ejpam-597	139	3	be	be	AUX
ejpam-597	139	4	univalent	univalent	ADJ
ejpam-597	139	5	in	in	ADP
ejpam-597	139	6	u	u	NOUN
ejpam-597	139	7	and	and	CCONJ
ejpam-597	139	8	satisfies	satisfie	NOUN
ejpam-597	139	9	(	(	PUNCT
ejpam-597	139	10	10	10	NUM
ejpam-597	139	11	)	)	PUNCT
ejpam-597	139	12	,	,	PUNCT
ejpam-597	139	13	λ	λ	X
ejpam-597	139	14	>	>	X
ejpam-597	139	15	0	0	PROPN
ejpam-597	139	16	,	,	PUNCT
ejpam-597	139	17	l	l	PROPN
ejpam-597	139	18	¾	¾	PROPN
ejpam-597	139	19	0	0	NUM
ejpam-597	139	20	and	and	CCONJ
ejpam-597	139	21	m	m	PROPN
ejpam-597	139	22	∈	∈	PROPN
ejpam-597	139	23	n0	n0	PROPN
ejpam-597	139	24	.	.	PUNCT
ejpam-597	140	1	if	if	SCONJ
ejpam-597	140	2	f	f	PROPN
ejpam-597	140	3	∈	∈	PROPN
ejpam-597	140	4	s	s	VERB
ejpam-597	140	5	with	with	ADP
ejpam-597	140	6	im(λ	im(λ	NOUN
ejpam-597	140	7	,	,	PUNCT
ejpam-597	140	8	l	l	NOUN
ejpam-597	140	9	)	)	PUNCT
ejpam-597	140	10	f	f	NOUN
ejpam-597	140	11	(	(	PUNCT
ejpam-597	140	12	z	z	NOUN
ejpam-597	140	13	)	)	PUNCT
ejpam-597	140	14	6=	6=	ADP
ejpam-597	140	15	0	0	NUM
ejpam-597	140	16	,	,	PUNCT
ejpam-597	140	17	z	z	PROPN
ejpam-597	140	18	∈	∈	NOUN
ejpam-597	140	19	u∗	u∗	ADJ
ejpam-597	140	20	,	,	PUNCT
ejpam-597	140	21	and	and	CCONJ
ejpam-597	140	22	satisfies	satisfy	VERB
ejpam-597	140	23	the	the	DET
ejpam-597	140	24	subordination	subordination	NOUN
ejpam-597	140	25	χ2(l	χ2(l	NOUN
ejpam-597	140	26	,	,	PUNCT
ejpam-597	140	27	m	m	PROPN
ejpam-597	140	28	,	,	PUNCT
ejpam-597	140	29	λ	λ	PROPN
ejpam-597	140	30	,	,	PUNCT
ejpam-597	140	31	η	η	PROPN
ejpam-597	140	32	,	,	PUNCT
ejpam-597	140	33	δ	δ	PROPN
ejpam-597	140	34	,	,	PUNCT
ejpam-597	140	35	f	f	PROPN
ejpam-597	140	36	)	)	PUNCT
ejpam-597	140	37	≺	≺	NOUN
ejpam-597	140	38	q(z	q(z	PROPN
ejpam-597	140	39	)	)	PUNCT
ejpam-597	140	40	+	+	NUM
ejpam-597	140	41	η	η	PROPN
ejpam-597	140	42	δ	δ	PROPN
ejpam-597	140	43	zq′(z	zq′(z	PROPN
ejpam-597	140	44	)	)	PUNCT
ejpam-597	140	45	,	,	PUNCT
ejpam-597	140	46	m.	m.	NOUN
ejpam-597	140	47	aouf	aouf	PROPN
ejpam-597	140	48	and	and	CCONJ
ejpam-597	140	49	a.	a.	PROPN
ejpam-597	140	50	mostafa	mostafa	PROPN
ejpam-597	140	51	/	/	SYM
ejpam-597	140	52	eur	eur	PROPN
ejpam-597	140	53	.	.	PUNCT
ejpam-597	141	1	j.	j.	PROPN
ejpam-597	141	2	pure	pure	PROPN
ejpam-597	141	3	appl	appl	PROPN
ejpam-597	141	4	.	.	PROPN
ejpam-597	141	5	math	math	PROPN
ejpam-597	141	6	,	,	PUNCT
ejpam-597	141	7	3	3	NUM
ejpam-597	141	8	(	(	PUNCT
ejpam-597	141	9	2010	2010	NUM
ejpam-597	141	10	)	)	PUNCT
ejpam-597	141	11	,	,	PUNCT
ejpam-597	141	12	641	641	NUM
ejpam-597	141	13	-	-	SYM
ejpam-597	141	14	652	652	NUM
ejpam-597	141	15	647	647	NUM
ejpam-597	141	16	where	where	SCONJ
ejpam-597	141	17	χ2(l	χ2(l	NOUN
ejpam-597	141	18	,	,	PUNCT
ejpam-597	141	19	m	m	PROPN
ejpam-597	141	20	,	,	PUNCT
ejpam-597	141	21	λ	λ	PROPN
ejpam-597	141	22	,	,	PUNCT
ejpam-597	141	23	η	η	PROPN
ejpam-597	141	24	,	,	PUNCT
ejpam-597	141	25	δ	δ	PROPN
ejpam-597	141	26	,	,	PUNCT
ejpam-597	141	27	f	f	PROPN
ejpam-597	141	28	)	)	PUNCT
ejpam-597	141	29	is	be	AUX
ejpam-597	141	30	given	give	VERB
ejpam-597	141	31	by	by	ADP
ejpam-597	141	32	χ2(l	χ2(l	NOUN
ejpam-597	141	33	,	,	PUNCT
ejpam-597	141	34	m	m	PROPN
ejpam-597	141	35	,	,	PUNCT
ejpam-597	141	36	λ	λ	PROPN
ejpam-597	141	37	,	,	PUNCT
ejpam-597	141	38	η	η	PROPN
ejpam-597	141	39	,	,	PUNCT
ejpam-597	141	40	δ	δ	PROPN
ejpam-597	141	41	,	,	PUNCT
ejpam-597	141	42	f	f	PROPN
ejpam-597	141	43	)	)	PUNCT
ejpam-597	141	44	=	=	PUNCT
ejpam-597	142	1	(	(	PUNCT
ejpam-597	142	2	1	1	NUM
ejpam-597	142	3	+	+	CCONJ
ejpam-597	142	4	η(l	η(l	PROPN
ejpam-597	142	5	+	+	CCONJ
ejpam-597	142	6	1	1	X
ejpam-597	142	7	)	)	PUNCT
ejpam-597	142	8	λ	λ	PROPN
ejpam-597	142	9	)	)	PUNCT
ejpam-597	142	10	�	�	PROPN
ejpam-597	142	11	z	z	PROPN
ejpam-597	142	12	i	i	PROPN
ejpam-597	142	13	m(λ	m(λ	PROPN
ejpam-597	142	14	,	,	PUNCT
ejpam-597	142	15	l	l	NOUN
ejpam-597	142	16	)	)	PUNCT
ejpam-597	142	17	f	f	NOUN
ejpam-597	142	18	(	(	PUNCT
ejpam-597	142	19	z	z	NOUN
ejpam-597	142	20	)	)	PUNCT
ejpam-597	142	21	�	�	PROPN
ejpam-597	142	22	δ	δ	PROPN
ejpam-597	142	23	−	−	PROPN
ejpam-597	142	24	η(l	η(l	PROPN
ejpam-597	142	25	+	+	CCONJ
ejpam-597	142	26	1	1	X
ejpam-597	142	27	)	)	PUNCT
ejpam-597	142	28	λ	λ	PROPN
ejpam-597	142	29	i	i	PRON
ejpam-597	142	30	m+1(λ	m+1(λ	PROPN
ejpam-597	142	31	,	,	PUNCT
ejpam-597	142	32	l	l	NOUN
ejpam-597	142	33	)	)	PUNCT
ejpam-597	142	34	f	f	NOUN
ejpam-597	142	35	(	(	PUNCT
ejpam-597	142	36	z	z	NOUN
ejpam-597	142	37	)	)	PUNCT
ejpam-597	142	38	i	i	PRON
ejpam-597	142	39	m(λ	m(λ	PROPN
ejpam-597	142	40	,	,	PUNCT
ejpam-597	142	41	l	l	NOUN
ejpam-597	142	42	)	)	PUNCT
ejpam-597	142	43	f	f	NOUN
ejpam-597	142	44	(	(	PUNCT
ejpam-597	142	45	z	z	NOUN
ejpam-597	142	46	)	)	PUNCT
ejpam-597	142	47	�	�	PROPN
ejpam-597	142	48	z	z	PROPN
ejpam-597	143	1	i	i	PROPN
ejpam-597	143	2	m(λ	m(λ	PROPN
ejpam-597	143	3	,	,	PUNCT
ejpam-597	143	4	l	l	NOUN
ejpam-597	143	5	)	)	PUNCT
ejpam-597	143	6	f	f	NOUN
ejpam-597	143	7	(	(	PUNCT
ejpam-597	143	8	z	z	NOUN
ejpam-597	143	9	)	)	PUNCT
ejpam-597	143	10	�	�	PROPN
ejpam-597	143	11	δ	δ	PROPN
ejpam-597	143	12	,	,	PUNCT
ejpam-597	143	13	(	(	PUNCT
ejpam-597	143	14	22	22	NUM
ejpam-597	143	15	)	)	PUNCT
ejpam-597	143	16	then	then	ADV
ejpam-597	143	17	�	�	PROPN
ejpam-597	143	18	z	z	PROPN
ejpam-597	143	19	im(λ	im(λ	PROPN
ejpam-597	143	20	,	,	PUNCT
ejpam-597	143	21	l	l	NOUN
ejpam-597	143	22	)	)	PUNCT
ejpam-597	143	23	f	f	NOUN
ejpam-597	143	24	(	(	PUNCT
ejpam-597	143	25	z	z	NOUN
ejpam-597	143	26	)	)	PUNCT
ejpam-597	143	27	�	�	PROPN
ejpam-597	143	28	δ	δ	PROPN
ejpam-597	143	29	≺	≺	NOUN
ejpam-597	143	30	q(z	q(z	PROPN
ejpam-597	143	31	)	)	PUNCT
ejpam-597	143	32	and	and	CCONJ
ejpam-597	143	33	q	q	NOUN
ejpam-597	143	34	is	be	AUX
ejpam-597	143	35	the	the	DET
ejpam-597	143	36	best	good	ADJ
ejpam-597	143	37	dominant	dominant	ADJ
ejpam-597	143	38	.	.	PUNCT
ejpam-597	144	1	theorem	theorem	NOUN
ejpam-597	144	2	2	2	NUM
ejpam-597	144	3	.	.	PUNCT
ejpam-597	145	1	let	let	VERB
ejpam-597	145	2	γ	γ	PROPN
ejpam-597	145	3	∈	∈	PROPN
ejpam-597	145	4	c∗	c∗	NOUN
ejpam-597	145	5	and	and	CCONJ
ejpam-597	145	6	let	let	VERB
ejpam-597	145	7	q	q	PUNCT
ejpam-597	145	8	be	be	AUX
ejpam-597	145	9	univalent	univalent	ADJ
ejpam-597	145	10	in	in	ADP
ejpam-597	145	11	u	u	NOUN
ejpam-597	145	12	with	with	ADP
ejpam-597	145	13	q(0	q(0	PROPN
ejpam-597	145	14	)	)	PUNCT
ejpam-597	145	15	=	=	SYM
ejpam-597	145	16	1,q(z	1,q(z	NUM
ejpam-597	145	17	)	)	PUNCT
ejpam-597	145	18	6=	6=	ADP
ejpam-597	145	19	0	0	NUM
ejpam-597	145	20	,	,	PUNCT
ejpam-597	145	21	z	z	PROPN
ejpam-597	145	22	∈	∈	PROPN
ejpam-597	145	23	u	u	NOUN
ejpam-597	145	24	and	and	CCONJ
ejpam-597	145	25	satisfies	satisfy	VERB
ejpam-597	145	26	the	the	DET
ejpam-597	145	27	condition	condition	NOUN
ejpam-597	145	28	:	:	PUNCT
ejpam-597	145	29	re	re	ADP
ejpam-597	145	30	¨	¨	X
ejpam-597	145	31	1	1	NUM
ejpam-597	145	32	+	+	NUM
ejpam-597	145	33	zq′′(z	zq′′(z	NOUN
ejpam-597	145	34	)	)	PUNCT
ejpam-597	145	35	q′(z	q′(z	PROPN
ejpam-597	145	36	)	)	PUNCT
ejpam-597	145	37	−	−	PROPN
ejpam-597	145	38	zq′(z	zq′(z	SYM
ejpam-597	145	39	)	)	PUNCT
ejpam-597	145	40	q(z	q(z	PROPN
ejpam-597	145	41	)	)	PUNCT
ejpam-597	145	42	«	«	PUNCT
ejpam-597	145	43	>	>	PUNCT
ejpam-597	145	44	0	0	NUM
ejpam-597	145	45	,	,	PUNCT
ejpam-597	145	46	z	z	PROPN
ejpam-597	145	47	∈	∈	PROPN
ejpam-597	145	48	u	u	NOUN
ejpam-597	145	49	.	.	PUNCT
ejpam-597	146	1	(	(	PUNCT
ejpam-597	146	2	23	23	NUM
ejpam-597	146	3	)	)	PUNCT
ejpam-597	146	4	if	if	SCONJ
ejpam-597	146	5	f	f	PROPN
ejpam-597	146	6	,	,	PUNCT
ejpam-597	146	7	g	g	PROPN
ejpam-597	146	8	∈	∈	PROPN
ejpam-597	146	9	s	s	PART
ejpam-597	146	10	with	with	ADP
ejpam-597	146	11	(	(	PUNCT
ejpam-597	146	12	f	f	PROPN
ejpam-597	146	13	∗	∗	NOUN
ejpam-597	146	14	g)(z	g)(z	PUNCT
ejpam-597	146	15	)	)	PUNCT
ejpam-597	146	16	6=	6=	ADP
ejpam-597	146	17	0	0	NUM
ejpam-597	146	18	,	,	PUNCT
ejpam-597	146	19	z	z	PROPN
ejpam-597	146	20	∈	∈	NOUN
ejpam-597	146	21	u∗	u∗	NOUN
ejpam-597	146	22	and	and	CCONJ
ejpam-597	146	23	satisfies	satisfy	VERB
ejpam-597	146	24	the	the	DET
ejpam-597	146	25	subordination	subordination	NOUN
ejpam-597	146	26	:	:	PUNCT
ejpam-597	146	27	1	1	NUM
ejpam-597	146	28	+	+	NUM
ejpam-597	146	29	γδ	γδ	ADP
ejpam-597	146	30	�	�	PROPN
ejpam-597	146	31	1−	1−	NUM
ejpam-597	146	32	z	z	PROPN
ejpam-597	146	33	(	(	PUNCT
ejpam-597	146	34	f	f	PROPN
ejpam-597	146	35	∗	∗	NOUN
ejpam-597	146	36	g)′(z	g)′(z	NOUN
ejpam-597	146	37	)	)	PUNCT
ejpam-597	147	1	(	(	PUNCT
ejpam-597	147	2	f	f	PROPN
ejpam-597	147	3	∗	∗	PROPN
ejpam-597	147	4	g)(z	g)(z	PUNCT
ejpam-597	147	5	)	)	PUNCT
ejpam-597	147	6	�	�	PROPN
ejpam-597	147	7	≺	≺	NOUN
ejpam-597	147	8	1	1	NUM
ejpam-597	147	9	+	+	NUM
ejpam-597	147	10	γ	γ	PROPN
ejpam-597	147	11	zq′(z	zq′(z	PROPN
ejpam-597	147	12	)	)	PUNCT
ejpam-597	147	13	q(z	q(z	PROPN
ejpam-597	147	14	)	)	PUNCT
ejpam-597	147	15	.	.	PUNCT
ejpam-597	148	1	(	(	PUNCT
ejpam-597	148	2	24	24	NUM
ejpam-597	148	3	)	)	PUNCT
ejpam-597	148	4	then	then	ADV
ejpam-597	148	5	,	,	PUNCT
ejpam-597	148	6	�	�	PROPN
ejpam-597	148	7	z	z	PROPN
ejpam-597	148	8	(	(	PUNCT
ejpam-597	148	9	f	f	PROPN
ejpam-597	148	10	∗	∗	PROPN
ejpam-597	148	11	g)(z	g)(z	PUNCT
ejpam-597	148	12	)	)	PUNCT
ejpam-597	148	13	�	�	PROPN
ejpam-597	148	14	δ	δ	PROPN
ejpam-597	148	15	≺	≺	NOUN
ejpam-597	148	16	q(z	q(z	PROPN
ejpam-597	148	17	)	)	PUNCT
ejpam-597	148	18	,	,	PUNCT
ejpam-597	148	19	and	and	CCONJ
ejpam-597	148	20	q	q	NOUN
ejpam-597	148	21	is	be	AUX
ejpam-597	148	22	the	the	DET
ejpam-597	148	23	best	good	ADJ
ejpam-597	148	24	dominant	dominant	NOUN
ejpam-597	148	25	of	of	ADP
ejpam-597	148	26	(	(	PUNCT
ejpam-597	148	27	24	24	NUM
ejpam-597	148	28	)	)	PUNCT
ejpam-597	148	29	.	.	PUNCT
ejpam-597	149	1	proof	proof	NOUN
ejpam-597	149	2	.	.	PUNCT
ejpam-597	150	1	let	let	VERB
ejpam-597	150	2	a	a	DET
ejpam-597	150	3	function	function	NOUN
ejpam-597	150	4	p	p	NOUN
ejpam-597	150	5	defined	define	VERB
ejpam-597	150	6	by	by	ADP
ejpam-597	150	7	(	(	PUNCT
ejpam-597	150	8	14	14	NUM
ejpam-597	150	9	)	)	PUNCT
ejpam-597	150	10	,	,	PUNCT
ejpam-597	150	11	then	then	ADV
ejpam-597	150	12	the	the	DET
ejpam-597	150	13	function	function	NOUN
ejpam-597	150	14	p	p	NOUN
ejpam-597	150	15	is	be	AUX
ejpam-597	150	16	analytic	analytic	ADJ
ejpam-597	150	17	in	in	ADP
ejpam-597	150	18	u	u	NOUN
ejpam-597	150	19	and	and	CCONJ
ejpam-597	150	20	p(0	p(0	PROPN
ejpam-597	150	21	)	)	PUNCT
ejpam-597	150	22	=	=	SYM
ejpam-597	151	1	1	1	X
ejpam-597	151	2	.	.	PUNCT
ejpam-597	151	3	therefore	therefore	ADV
ejpam-597	151	4	,	,	PUNCT
ejpam-597	151	5	by	by	ADP
ejpam-597	151	6	differentiating	differentiate	VERB
ejpam-597	151	7	(	(	PUNCT
ejpam-597	151	8	14	14	NUM
ejpam-597	151	9	)	)	PUNCT
ejpam-597	151	10	logarithmically	logarithmically	ADV
ejpam-597	151	11	with	with	ADP
ejpam-597	151	12	respect	respect	NOUN
ejpam-597	151	13	to	to	ADP
ejpam-597	151	14	z	z	NOUN
ejpam-597	151	15	,	,	PUNCT
ejpam-597	151	16	we	we	PRON
ejpam-597	151	17	have	have	VERB
ejpam-597	151	18	zp′(z	zp′(z	NOUN
ejpam-597	151	19	)	)	PUNCT
ejpam-597	152	1	p(z	p(z	NOUN
ejpam-597	152	2	)	)	PUNCT
ejpam-597	152	3	=	=	SYM
ejpam-597	152	4	δ	δ	PROPN
ejpam-597	152	5	�	�	PROPN
ejpam-597	152	6	1−	1−	NUM
ejpam-597	152	7	z	z	PROPN
ejpam-597	152	8	(	(	PUNCT
ejpam-597	152	9	f	f	PROPN
ejpam-597	152	10	∗	∗	NOUN
ejpam-597	152	11	g)′(z	g)′(z	NOUN
ejpam-597	152	12	)	)	PUNCT
ejpam-597	152	13	(	(	PUNCT
ejpam-597	152	14	f	f	PROPN
ejpam-597	152	15	∗	∗	PROPN
ejpam-597	152	16	g)(z	g)(z	PUNCT
ejpam-597	152	17	)	)	PUNCT
ejpam-597	152	18	�	�	PROPN
ejpam-597	152	19	.	.	PUNCT
ejpam-597	153	1	using	use	VERB
ejpam-597	153	2	the	the	DET
ejpam-597	153	3	above	above	ADJ
ejpam-597	153	4	relation	relation	NOUN
ejpam-597	153	5	in	in	ADP
ejpam-597	153	6	(	(	PUNCT
ejpam-597	153	7	24	24	NUM
ejpam-597	153	8	)	)	PUNCT
ejpam-597	153	9	,	,	PUNCT
ejpam-597	153	10	we	we	PRON
ejpam-597	153	11	have	have	VERB
ejpam-597	153	12	1	1	NUM
ejpam-597	153	13	+	+	NUM
ejpam-597	153	14	γ	γ	PROPN
ejpam-597	153	15	zp′(z	zp′(z	NOUN
ejpam-597	153	16	)	)	PUNCT
ejpam-597	153	17	p(z	p(z	NOUN
ejpam-597	153	18	)	)	PUNCT
ejpam-597	153	19	≺	≺	NOUN
ejpam-597	154	1	1	1	NUM
ejpam-597	154	2	+	+	NUM
ejpam-597	154	3	γ	γ	PROPN
ejpam-597	154	4	zq′(z	zq′(z	PROPN
ejpam-597	154	5	)	)	PUNCT
ejpam-597	154	6	q(z	q(z	PROPN
ejpam-597	154	7	)	)	PUNCT
ejpam-597	154	8	.	.	PUNCT
ejpam-597	155	1	taking	take	VERB
ejpam-597	155	2	θ(w	θ(w	ADV
ejpam-597	155	3	)	)	PUNCT
ejpam-597	155	4	=	=	SYM
ejpam-597	155	5	1	1	NUM
ejpam-597	155	6	and	and	CCONJ
ejpam-597	155	7	ϕ(w	ϕ(w	PROPN
ejpam-597	155	8	)	)	PUNCT
ejpam-597	155	9	=	=	PUNCT
ejpam-597	155	10	γ	γ	X
ejpam-597	155	11	/	/	SYM
ejpam-597	155	12	w	w	PROPN
ejpam-597	155	13	,	,	PUNCT
ejpam-597	155	14	then	then	ADV
ejpam-597	155	15	ϕ	ϕ	PROPN
ejpam-597	155	16	and	and	CCONJ
ejpam-597	155	17	θ	θ	PROPN
ejpam-597	155	18	are	be	AUX
ejpam-597	155	19	analytic	analytic	ADJ
ejpam-597	155	20	in	in	ADP
ejpam-597	155	21	c∗.	c∗.	NOUN
ejpam-597	155	22	simple	simple	ADJ
ejpam-597	155	23	computations	computation	NOUN
ejpam-597	155	24	show	show	VERB
ejpam-597	155	25	that	that	SCONJ
ejpam-597	155	26	ψ(z	ψ(z	PROPN
ejpam-597	155	27	)	)	PUNCT
ejpam-597	155	28	=	=	SYM
ejpam-597	155	29	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-597	155	30	)	)	PUNCT
ejpam-597	155	31	)	)	PUNCT
ejpam-597	156	1	=	=	SYM
ejpam-597	156	2	γ	γ	X
ejpam-597	156	3	zq′(z	zq′(z	PROPN
ejpam-597	156	4	)	)	PUNCT
ejpam-597	156	5	q(z	q(z	PROPN
ejpam-597	156	6	)	)	PUNCT
ejpam-597	156	7	,	,	PUNCT
ejpam-597	156	8	h(z	h(z	NOUN
ejpam-597	156	9	)	)	PUNCT
ejpam-597	156	10	=	=	SYM
ejpam-597	156	11	θ(q(z	θ(q(z	PROPN
ejpam-597	156	12	)	)	PUNCT
ejpam-597	156	13	)	)	PUNCT
ejpam-597	157	1	+	+	ADP
ejpam-597	157	2	ψ(z	ψ(z	NOUN
ejpam-597	157	3	)	)	PUNCT
ejpam-597	157	4	=	=	SYM
ejpam-597	158	1	1	1	NUM
ejpam-597	158	2	+	+	NUM
ejpam-597	158	3	γ	γ	PROPN
ejpam-597	158	4	zq′(z	zq′(z	PROPN
ejpam-597	158	5	)	)	PUNCT
ejpam-597	158	6	q(z	q(z	PROPN
ejpam-597	158	7	)	)	PUNCT
ejpam-597	158	8	,	,	PUNCT
ejpam-597	158	9	and	and	CCONJ
ejpam-597	158	10	it	it	PRON
ejpam-597	158	11	is	be	AUX
ejpam-597	158	12	easily	easily	ADV
ejpam-597	158	13	to	to	PART
ejpam-597	158	14	see	see	VERB
ejpam-597	158	15	that	that	SCONJ
ejpam-597	158	16	the	the	DET
ejpam-597	158	17	conditions	condition	NOUN
ejpam-597	158	18	of	of	ADP
ejpam-597	158	19	lemma	lemma	PROPN
ejpam-597	158	20	1	1	NUM
ejpam-597	158	21	are	be	AUX
ejpam-597	158	22	satisfied	satisfied	ADJ
ejpam-597	158	23	whenever	whenever	SCONJ
ejpam-597	158	24	(	(	PUNCT
ejpam-597	158	25	23	23	NUM
ejpam-597	158	26	)	)	PUNCT
ejpam-597	158	27	holds	hold	VERB
ejpam-597	158	28	.	.	PUNCT
ejpam-597	159	1	then	then	ADV
ejpam-597	159	2	,	,	PUNCT
ejpam-597	159	3	applying	apply	VERB
ejpam-597	159	4	lemma	lemma	PROPN
ejpam-597	159	5	1	1	NUM
ejpam-597	159	6	,	,	PUNCT
ejpam-597	159	7	the	the	DET
ejpam-597	159	8	proof	proof	NOUN
ejpam-597	159	9	of	of	ADP
ejpam-597	159	10	theorem	theorem	ADJ
ejpam-597	159	11	2	2	NUM
ejpam-597	159	12	is	be	AUX
ejpam-597	159	13	completed	complete	VERB
ejpam-597	159	14	.	.	PUNCT
ejpam-597	160	1	putting	put	VERB
ejpam-597	160	2	q(z	q(z	PROPN
ejpam-597	160	3	)	)	PUNCT
ejpam-597	160	4	=	=	PUNCT
ejpam-597	161	1	(	(	PUNCT
ejpam-597	161	2	1	1	NUM
ejpam-597	161	3	+	+	NUM
ejpam-597	161	4	az)/(1	az)/(1	ADJ
ejpam-597	161	5	+	+	CCONJ
ejpam-597	161	6	bz	bz	X
ejpam-597	161	7	)	)	PUNCT
ejpam-597	161	8	(	(	PUNCT
ejpam-597	161	9	−1≤	−1≤	PROPN
ejpam-597	161	10	b	b	ADP
ejpam-597	161	11	<	<	X
ejpam-597	161	12	a≤	a≤	ADP
ejpam-597	161	13	1	1	NUM
ejpam-597	161	14	)	)	PUNCT
ejpam-597	161	15	in	in	ADP
ejpam-597	161	16	theorem	theorem	NOUN
ejpam-597	161	17	2	2	NUM
ejpam-597	161	18	,	,	PUNCT
ejpam-597	161	19	it	it	PRON
ejpam-597	161	20	is	be	AUX
ejpam-597	161	21	easy	easy	ADJ
ejpam-597	161	22	to	to	PART
ejpam-597	161	23	check	check	VERB
ejpam-597	161	24	that	that	SCONJ
ejpam-597	161	25	the	the	DET
ejpam-597	161	26	condition	condition	NOUN
ejpam-597	161	27	(	(	PUNCT
ejpam-597	161	28	23	23	NUM
ejpam-597	161	29	)	)	PUNCT
ejpam-597	161	30	holds	hold	VERB
ejpam-597	161	31	whenever	whenever	SCONJ
ejpam-597	161	32	−1≤	−1≤	PROPN
ejpam-597	161	33	b	b	ADP
ejpam-597	161	34	<	<	X
ejpam-597	161	35	a≤	a≤	DET
ejpam-597	161	36	1	1	NUM
ejpam-597	161	37	,	,	PUNCT
ejpam-597	161	38	hence	hence	ADV
ejpam-597	161	39	we	we	PRON
ejpam-597	161	40	obtain	obtain	VERB
ejpam-597	161	41	:	:	PUNCT
ejpam-597	162	1	m.	m.	NOUN
ejpam-597	162	2	aouf	aouf	PROPN
ejpam-597	162	3	and	and	CCONJ
ejpam-597	162	4	a.	a.	PROPN
ejpam-597	162	5	mostafa	mostafa	PROPN
ejpam-597	162	6	/	/	SYM
ejpam-597	162	7	eur	eur	PROPN
ejpam-597	162	8	.	.	PUNCT
ejpam-597	163	1	j.	j.	PROPN
ejpam-597	163	2	pure	pure	PROPN
ejpam-597	163	3	appl	appl	PROPN
ejpam-597	163	4	.	.	PROPN
ejpam-597	163	5	math	math	PROPN
ejpam-597	163	6	,	,	PUNCT
ejpam-597	163	7	3	3	NUM
ejpam-597	163	8	(	(	PUNCT
ejpam-597	163	9	2010	2010	NUM
ejpam-597	163	10	)	)	PUNCT
ejpam-597	163	11	,	,	PUNCT
ejpam-597	163	12	641	641	NUM
ejpam-597	163	13	-	-	SYM
ejpam-597	163	14	652	652	NUM
ejpam-597	163	15	648	648	NUM
ejpam-597	163	16	corollary	corollary	ADJ
ejpam-597	163	17	4	4	NUM
ejpam-597	163	18	.	.	PUNCT
ejpam-597	164	1	let	let	VERB
ejpam-597	164	2	−1≤	−1≤	VERB
ejpam-597	164	3	b	b	ADP
ejpam-597	164	4	<	<	X
ejpam-597	164	5	a≤	a≤	X
ejpam-597	164	6	1	1	NUM
ejpam-597	164	7	let	let	VERB
ejpam-597	164	8	f	f	NOUN
ejpam-597	164	9	,	,	PUNCT
ejpam-597	164	10	g	g	PROPN
ejpam-597	164	11	∈	∈	PROPN
ejpam-597	164	12	s	s	PART
ejpam-597	164	13	with	with	ADP
ejpam-597	164	14	(	(	PUNCT
ejpam-597	164	15	f	f	PROPN
ejpam-597	164	16	∗	∗	NOUN
ejpam-597	164	17	g)(z	g)(z	PUNCT
ejpam-597	164	18	)	)	PUNCT
ejpam-597	164	19	6=	6=	ADP
ejpam-597	164	20	0	0	NUM
ejpam-597	164	21	,	,	PUNCT
ejpam-597	164	22	z	z	PROPN
ejpam-597	164	23	∈	∈	PROPN
ejpam-597	164	24	u∗	u∗	PROPN
ejpam-597	164	25	,	,	PUNCT
ejpam-597	164	26	suppose	suppose	VERB
ejpam-597	164	27	that	that	SCONJ
ejpam-597	164	28	1	1	NUM
ejpam-597	164	29	+	+	NUM
ejpam-597	164	30	γδ	γδ	ADP
ejpam-597	164	31	�	�	PROPN
ejpam-597	164	32	1−	1−	NUM
ejpam-597	164	33	z	z	PROPN
ejpam-597	164	34	(	(	PUNCT
ejpam-597	164	35	f	f	PROPN
ejpam-597	164	36	∗	∗	NOUN
ejpam-597	164	37	g)′(z	g)′(z	NOUN
ejpam-597	164	38	)	)	PUNCT
ejpam-597	164	39	(	(	PUNCT
ejpam-597	164	40	f	f	PROPN
ejpam-597	164	41	∗	∗	PROPN
ejpam-597	164	42	g)(z	g)(z	PUNCT
ejpam-597	164	43	)	)	PUNCT
ejpam-597	164	44	�	�	PROPN
ejpam-597	164	45	≺	≺	VERB
ejpam-597	164	46	1	1	NUM
ejpam-597	164	47	+	+	NUM
ejpam-597	164	48	γ(a−	γ(a−	NOUN
ejpam-597	164	49	b)z	b)z	X
ejpam-597	164	50	(	(	PUNCT
ejpam-597	164	51	1	1	NUM
ejpam-597	164	52	+	+	NOUN
ejpam-597	164	53	az)(1	az)(1	NUM
ejpam-597	164	54	+	+	X
ejpam-597	164	55	bz	bz	X
ejpam-597	164	56	)	)	PUNCT
ejpam-597	164	57	.	.	PUNCT
ejpam-597	165	1	then	then	ADV
ejpam-597	165	2	,	,	PUNCT
ejpam-597	165	3	�	�	PROPN
ejpam-597	165	4	z	z	PROPN
ejpam-597	165	5	(	(	PUNCT
ejpam-597	165	6	f	f	PROPN
ejpam-597	165	7	∗	∗	PROPN
ejpam-597	165	8	g)(z	g)(z	PUNCT
ejpam-597	165	9	)	)	PUNCT
ejpam-597	165	10	�	�	PROPN
ejpam-597	165	11	δ	δ	NOUN
ejpam-597	165	12	≺	≺	NOUN
ejpam-597	165	13	1	1	NUM
ejpam-597	165	14	+	+	NUM
ejpam-597	165	15	az	az	PROPN
ejpam-597	165	16	1	1	NUM
ejpam-597	165	17	+	+	CCONJ
ejpam-597	165	18	bz	bz	PROPN
ejpam-597	165	19	,	,	PUNCT
ejpam-597	165	20	and	and	CCONJ
ejpam-597	165	21	(	(	PUNCT
ejpam-597	165	22	1	1	NUM
ejpam-597	165	23	+	+	NUM
ejpam-597	165	24	az)/(1	az)/(1	ADJ
ejpam-597	165	25	+	+	CCONJ
ejpam-597	165	26	bz	bz	X
ejpam-597	165	27	)	)	PUNCT
ejpam-597	165	28	is	be	AUX
ejpam-597	165	29	the	the	DET
ejpam-597	165	30	best	good	ADJ
ejpam-597	165	31	dominant	dominant	NOUN
ejpam-597	165	32	.	.	PUNCT
ejpam-597	166	1	taking	take	VERB
ejpam-597	166	2	γ	γ	NOUN
ejpam-597	166	3	=	=	SYM
ejpam-597	166	4	−1	−1	NOUN
ejpam-597	166	5	ab	ab	PROPN
ejpam-597	166	6	(	(	PUNCT
ejpam-597	166	7	a	a	PROPN
ejpam-597	166	8	,	,	PUNCT
ejpam-597	166	9	b	b	PROPN
ejpam-597	166	10	∈	∈	PROPN
ejpam-597	166	11	c∗),δ	c∗),δ	NOUN
ejpam-597	166	12	=	=	PUNCT
ejpam-597	166	13	a	a	PRON
ejpam-597	166	14	and	and	CCONJ
ejpam-597	166	15	q(z	q(z	PROPN
ejpam-597	166	16	)	)	PUNCT
ejpam-597	166	17	=	=	PUNCT
ejpam-597	166	18	(	(	PUNCT
ejpam-597	166	19	1−	1−	NUM
ejpam-597	166	20	z)−2ab	z)−2ab	X
ejpam-597	166	21	in	in	ADP
ejpam-597	166	22	theorem	theorem	NOUN
ejpam-597	166	23	2	2	NUM
ejpam-597	166	24	,	,	PUNCT
ejpam-597	166	25	then	then	ADV
ejpam-597	166	26	combining	combine	VERB
ejpam-597	166	27	this	this	PRON
ejpam-597	166	28	together	together	ADV
ejpam-597	166	29	with	with	ADP
ejpam-597	166	30	lemma	lemma	PROPN
ejpam-597	166	31	4	4	NUM
ejpam-597	166	32	,	,	PUNCT
ejpam-597	166	33	we	we	PRON
ejpam-597	166	34	obtain	obtain	VERB
ejpam-597	166	35	the	the	DET
ejpam-597	166	36	following	follow	VERB
ejpam-597	166	37	corollary	corollary	NOUN
ejpam-597	166	38	.	.	PUNCT
ejpam-597	167	1	corollary	corollary	ADJ
ejpam-597	167	2	5	5	NUM
ejpam-597	167	3	.	.	PUNCT
ejpam-597	168	1	let	let	VERB
ejpam-597	168	2	a	a	DET
ejpam-597	168	3	,	,	PUNCT
ejpam-597	168	4	b	b	PROPN
ejpam-597	168	5	∈	∈	PROPN
ejpam-597	168	6	c∗	c∗	NOUN
ejpam-597	168	7	such	such	ADJ
ejpam-597	168	8	that	that	SCONJ
ejpam-597	168	9	|2ab−	|2ab−	PRON
ejpam-597	169	1	1|	1|	NUM
ejpam-597	169	2	≤	≤	NUM
ejpam-597	169	3	1	1	NUM
ejpam-597	169	4	or	or	CCONJ
ejpam-597	169	5	|2ab+	|2ab+	PROPN
ejpam-597	169	6	1|	1|	NUM
ejpam-597	169	7	≤	≤	NUM
ejpam-597	169	8	1	1	NUM
ejpam-597	169	9	.	.	PUNCT
ejpam-597	170	1	let	let	VERB
ejpam-597	170	2	f	f	PROPN
ejpam-597	170	3	∈	∈	PROPN
ejpam-597	170	4	s	s	PART
ejpam-597	170	5	and	and	CCONJ
ejpam-597	170	6	suppose	suppose	VERB
ejpam-597	170	7	that	that	SCONJ
ejpam-597	170	8	(	(	PUNCT
ejpam-597	170	9	f	f	NOUN
ejpam-597	170	10	∗g)(z	∗g)(z	NOUN
ejpam-597	170	11	)	)	PUNCT
ejpam-597	170	12	z	z	NOUN
ejpam-597	170	13	6=	6=	ADP
ejpam-597	170	14	0	0	NUM
ejpam-597	170	15	for	for	ADP
ejpam-597	170	16	all	all	DET
ejpam-597	170	17	z	z	NOUN
ejpam-597	170	18	∈	∈	PROPN
ejpam-597	170	19	u∗.	u∗.	PROPN
ejpam-597	170	20	if	if	SCONJ
ejpam-597	170	21	1	1	NUM
ejpam-597	170	22	+	+	SYM
ejpam-597	170	23	1	1	NUM
ejpam-597	170	24	b	b	PROPN
ejpam-597	170	25	�	�	PROPN
ejpam-597	170	26	z	z	PROPN
ejpam-597	170	27	(	(	PUNCT
ejpam-597	170	28	f	f	PROPN
ejpam-597	170	29	∗	∗	NOUN
ejpam-597	170	30	g)′(z	g)′(z	NOUN
ejpam-597	170	31	)	)	PUNCT
ejpam-597	170	32	(	(	PUNCT
ejpam-597	170	33	f	f	PROPN
ejpam-597	170	34	∗	∗	PROPN
ejpam-597	170	35	g)(z	g)(z	PUNCT
ejpam-597	170	36	)	)	PUNCT
ejpam-597	170	37	−	−	PROPN
ejpam-597	170	38	1	1	NUM
ejpam-597	170	39	�	�	PROPN
ejpam-597	170	40	≺	≺	NOUN
ejpam-597	170	41	1	1	NUM
ejpam-597	170	42	+	+	NUM
ejpam-597	170	43	z	z	NOUN
ejpam-597	170	44	1−	1−	NUM
ejpam-597	170	45	z	z	NOUN
ejpam-597	170	46	,	,	PUNCT
ejpam-597	170	47	then	then	ADV
ejpam-597	170	48	�	�	PROPN
ejpam-597	170	49	z	z	PROPN
ejpam-597	171	1	(	(	PUNCT
ejpam-597	171	2	f	f	PROPN
ejpam-597	171	3	∗	∗	PROPN
ejpam-597	171	4	g)(z	g)(z	PUNCT
ejpam-597	171	5	)	)	PUNCT
ejpam-597	171	6	�	�	PROPN
ejpam-597	171	7	a	a	DET
ejpam-597	171	8	≺	≺	NOUN
ejpam-597	171	9	(	(	PUNCT
ejpam-597	171	10	1−	1−	NUM
ejpam-597	171	11	z)−2ab	z)−2ab	X
ejpam-597	171	12	,	,	PUNCT
ejpam-597	171	13	and	and	CCONJ
ejpam-597	171	14	(	(	PUNCT
ejpam-597	171	15	1−	1−	NUM
ejpam-597	171	16	z)−2ab	z)−2ab	NOUN
ejpam-597	171	17	is	be	AUX
ejpam-597	171	18	the	the	DET
ejpam-597	171	19	best	good	ADJ
ejpam-597	171	20	dominant	dominant	ADJ
ejpam-597	171	21	.	.	PUNCT
ejpam-597	172	1	remark	remark	PROPN
ejpam-597	172	2	1	1	NUM
ejpam-597	172	3	.	.	PUNCT
ejpam-597	173	1	(	(	PUNCT
ejpam-597	173	2	i	i	NOUN
ejpam-597	173	3	)	)	PUNCT
ejpam-597	173	4	taking	take	VERB
ejpam-597	173	5	g(z	g(z	NOUN
ejpam-597	173	6	)	)	PUNCT
ejpam-597	173	7	=	=	PUNCT
ejpam-597	174	1	z	z	PROPN
ejpam-597	174	2	1−z	1−z	PROPN
ejpam-597	174	3	in	in	ADP
ejpam-597	174	4	corollary	corollary	ADJ
ejpam-597	174	5	5	5	NUM
ejpam-597	174	6	,	,	PUNCT
ejpam-597	174	7	we	we	PRON
ejpam-597	174	8	obtain	obtain	VERB
ejpam-597	174	9	the	the	DET
ejpam-597	174	10	result	result	NOUN
ejpam-597	174	11	due	due	ADP
ejpam-597	174	12	to	to	PART
ejpam-597	174	13	obradovíc	obradovíc	VERB
ejpam-597	174	14	et	et	NOUN
ejpam-597	174	15	al	al	PROPN
ejpam-597	174	16	.	.	PUNCT
ejpam-597	175	1	[	[	X
ejpam-597	175	2	17	17	NUM
ejpam-597	175	3	,	,	PUNCT
ejpam-597	175	4	theorem	theorem	VERB
ejpam-597	175	5	1	1	NUM
ejpam-597	175	6	]	]	PUNCT
ejpam-597	175	7	;	;	PUNCT
ejpam-597	175	8	(	(	PUNCT
ejpam-597	175	9	ii	ii	NOUN
ejpam-597	175	10	)	)	PUNCT
ejpam-597	175	11	taking	take	VERB
ejpam-597	175	12	g(z	g(z	NOUN
ejpam-597	175	13	)	)	PUNCT
ejpam-597	175	14	=	=	PUNCT
ejpam-597	176	1	z	z	PROPN
ejpam-597	176	2	1−z	1−z	NUM
ejpam-597	176	3	and	and	CCONJ
ejpam-597	176	4	a	a	DET
ejpam-597	176	5	=	=	NOUN
ejpam-597	176	6	1	1	NUM
ejpam-597	176	7	in	in	ADP
ejpam-597	176	8	corollary	corollary	ADJ
ejpam-597	176	9	5	5	NUM
ejpam-597	176	10	,	,	PUNCT
ejpam-597	176	11	we	we	PRON
ejpam-597	176	12	obtain	obtain	VERB
ejpam-597	176	13	the	the	DET
ejpam-597	176	14	recent	recent	ADJ
ejpam-597	176	15	result	result	NOUN
ejpam-597	176	16	of	of	ADP
ejpam-597	176	17	srivastava	srivastava	PROPN
ejpam-597	176	18	and	and	CCONJ
ejpam-597	176	19	lashin	lashin	VERB
ejpam-597	177	1	[	[	X
ejpam-597	177	2	25	25	NUM
ejpam-597	177	3	,	,	PUNCT
ejpam-597	177	4	theorem	theorem	VERB
ejpam-597	177	5	3	3	NUM
ejpam-597	177	6	]	]	PUNCT
ejpam-597	177	7	;	;	PUNCT
ejpam-597	177	8	(	(	PUNCT
ejpam-597	177	9	iii	iii	X
ejpam-597	177	10	)	)	PUNCT
ejpam-597	177	11	taking	take	VERB
ejpam-597	177	12	g(z	g(z	NOUN
ejpam-597	177	13	)	)	PUNCT
ejpam-597	177	14	=	=	PUNCT
ejpam-597	178	1	z	z	PROPN
ejpam-597	178	2	1−z	1−z	NUM
ejpam-597	178	3	,	,	PUNCT
ejpam-597	178	4	γ	γ	NOUN
ejpam-597	178	5	=	=	SYM
ejpam-597	178	6	eiλ	eiλ	NOUN
ejpam-597	178	7	ab	ab	PROPN
ejpam-597	178	8	cosλ	cosλ	PROPN
ejpam-597	178	9	(	(	PUNCT
ejpam-597	178	10	a	a	PRON
ejpam-597	178	11	,	,	PUNCT
ejpam-597	178	12	b	b	PROPN
ejpam-597	178	13	∈	∈	PROPN
ejpam-597	178	14	c∗	c∗	NOUN
ejpam-597	178	15	;	;	PUNCT
ejpam-597	178	16	|λ|	|λ|	X
ejpam-597	178	17	<	<	X
ejpam-597	178	18	π	π	PROPN
ejpam-597	178	19	2	2	NUM
ejpam-597	178	20	)	)	PUNCT
ejpam-597	178	21	,	,	PUNCT
ejpam-597	178	22	α	α	X
ejpam-597	178	23	=	=	PUNCT
ejpam-597	178	24	a	a	PRON
ejpam-597	178	25	and	and	CCONJ
ejpam-597	178	26	q(z	q(z	PROPN
ejpam-597	178	27	)	)	PUNCT
ejpam-597	178	28	=	=	PUNCT
ejpam-597	178	29	(	(	PUNCT
ejpam-597	178	30	1−	1−	NUM
ejpam-597	178	31	z)−2ab	z)−2ab	X
ejpam-597	178	32	cosλe−iλ	cosλe−iλ	NOUN
ejpam-597	178	33	in	in	ADP
ejpam-597	178	34	corollary	corollary	ADJ
ejpam-597	178	35	5	5	NUM
ejpam-597	178	36	,	,	PUNCT
ejpam-597	178	37	we	we	PRON
ejpam-597	178	38	obtain	obtain	VERB
ejpam-597	178	39	the	the	DET
ejpam-597	178	40	result	result	NOUN
ejpam-597	178	41	due	due	ADP
ejpam-597	178	42	to	to	ADP
ejpam-597	178	43	aouf	aouf	PROPN
ejpam-597	178	44	et	et	PROPN
ejpam-597	178	45	al	al	PROPN
ejpam-597	178	46	.	.	PUNCT
ejpam-597	179	1	[	[	X
ejpam-597	179	2	3	3	NUM
ejpam-597	179	3	,	,	PUNCT
ejpam-597	179	4	theorem	theorem	VERB
ejpam-597	179	5	1	1	NUM
ejpam-597	179	6	]	]	PUNCT
ejpam-597	179	7	.	.	PUNCT
ejpam-597	180	1	theorem	theorem	NOUN
ejpam-597	180	2	3	3	X
ejpam-597	180	3	.	.	PUNCT
ejpam-597	181	1	let	let	VERB
ejpam-597	181	2	q	q	PART
ejpam-597	181	3	be	be	AUX
ejpam-597	181	4	convex	convex	ADJ
ejpam-597	181	5	univalent	univalent	ADJ
ejpam-597	181	6	in	in	ADP
ejpam-597	181	7	u	u	PROPN
ejpam-597	181	8	,	,	PUNCT
ejpam-597	181	9	δ	δ	PROPN
ejpam-597	181	10	,	,	PUNCT
ejpam-597	181	11	η	η	PROPN
ejpam-597	181	12	∈	∈	PROPN
ejpam-597	181	13	c∗	c∗	PROPN
ejpam-597	181	14	and	and	CCONJ
ejpam-597	181	15	satisfies	satisfie	NOUN
ejpam-597	181	16	re	re	VERB
ejpam-597	181	17	{	{	PUNCT
ejpam-597	181	18	δ	δ	PROPN
ejpam-597	181	19	η	η	PROPN
ejpam-597	181	20	}	}	PUNCT
ejpam-597	181	21	>	>	X
ejpam-597	181	22	0	0	X
ejpam-597	181	23	.	.	PUNCT
ejpam-597	182	1	(	(	PUNCT
ejpam-597	182	2	25	25	NUM
ejpam-597	182	3	)	)	PUNCT
ejpam-597	182	4	let	let	VERB
ejpam-597	182	5	f	f	PRON
ejpam-597	182	6	,	,	PUNCT
ejpam-597	182	7	g	g	PROPN
ejpam-597	182	8	∈	∈	PROPN
ejpam-597	182	9	s	s	PART
ejpam-597	182	10	,	,	PUNCT
ejpam-597	182	11	(	(	PUNCT
ejpam-597	182	12	f	f	PROPN
ejpam-597	182	13	∗	∗	NOUN
ejpam-597	182	14	g)(z	g)(z	PUNCT
ejpam-597	182	15	)	)	PUNCT
ejpam-597	182	16	6=	6=	ADP
ejpam-597	182	17	0	0	NUM
ejpam-597	182	18	,	,	PUNCT
ejpam-597	182	19	z	z	PROPN
ejpam-597	182	20	∈	∈	PROPN
ejpam-597	182	21	u∗	u∗	PROPN
ejpam-597	182	22	,	,	PUNCT
ejpam-597	182	23	suppose	suppose	VERB
ejpam-597	182	24	that	that	SCONJ
ejpam-597	182	25	�	�	PROPN
ejpam-597	182	26	z	z	PROPN
ejpam-597	182	27	(	(	PUNCT
ejpam-597	182	28	f	f	PROPN
ejpam-597	182	29	∗	∗	PROPN
ejpam-597	182	30	g)(z	g)(z	PUNCT
ejpam-597	182	31	)	)	PUNCT
ejpam-597	182	32	�	�	PROPN
ejpam-597	182	33	δ	δ	PROPN
ejpam-597	182	34	∩	∩	PROPN
ejpam-597	182	35	h[q(0	h[q(0	PROPN
ejpam-597	182	36	)	)	PUNCT
ejpam-597	182	37	,	,	PUNCT
ejpam-597	182	38	1	1	X
ejpam-597	182	39	]	]	X
ejpam-597	182	40	∈	∈	PROPN
ejpam-597	182	41	q	q	NOUN
ejpam-597	183	1	and	and	CCONJ
ejpam-597	183	2	that	that	SCONJ
ejpam-597	183	3	χg(α	χg(α	NOUN
ejpam-597	183	4	,	,	PUNCT
ejpam-597	183	5	η	η	NOUN
ejpam-597	183	6	;	;	PUNCT
ejpam-597	183	7	f	f	X
ejpam-597	183	8	)	)	PUNCT
ejpam-597	183	9	is	be	AUX
ejpam-597	183	10	univalent	univalent	ADJ
ejpam-597	183	11	in	in	ADP
ejpam-597	183	12	u	u	NOUN
ejpam-597	183	13	,	,	PUNCT
ejpam-597	183	14	where	where	SCONJ
ejpam-597	183	15	χg(δ	χg(δ	NOUN
ejpam-597	183	16	,	,	PUNCT
ejpam-597	183	17	η	η	PROPN
ejpam-597	183	18	;	;	PUNCT
ejpam-597	183	19	f	f	X
ejpam-597	183	20	)	)	PUNCT
ejpam-597	183	21	is	be	AUX
ejpam-597	183	22	given	give	VERB
ejpam-597	183	23	by	by	ADP
ejpam-597	183	24	(	(	PUNCT
ejpam-597	183	25	12	12	NUM
ejpam-597	183	26	)	)	PUNCT
ejpam-597	183	27	.	.	PUNCT
ejpam-597	184	1	then	then	ADV
ejpam-597	184	2	q(z	q(z	PROPN
ejpam-597	184	3	)	)	PUNCT
ejpam-597	184	4	+	+	NUM
ejpam-597	184	5	η	η	PROPN
ejpam-597	184	6	δ	δ	PROPN
ejpam-597	184	7	zq′(z)≺	zq′(z)≺	PROPN
ejpam-597	184	8	χg(δ	χg(δ	PROPN
ejpam-597	184	9	,	,	PUNCT
ejpam-597	184	10	η	η	PROPN
ejpam-597	184	11	;	;	PUNCT
ejpam-597	184	12	f	f	X
ejpam-597	184	13	)	)	PUNCT
ejpam-597	184	14	(	(	PUNCT
ejpam-597	184	15	z	z	NOUN
ejpam-597	184	16	)	)	PUNCT
ejpam-597	184	17	,	,	PUNCT
ejpam-597	184	18	(	(	PUNCT
ejpam-597	184	19	26	26	NUM
ejpam-597	184	20	)	)	PUNCT
ejpam-597	184	21	implies	imply	VERB
ejpam-597	184	22	q(z	q(z	PROPN
ejpam-597	184	23	)	)	PUNCT
ejpam-597	184	24	≺	≺	NOUN
ejpam-597	184	25	�	�	PROPN
ejpam-597	184	26	z	z	PROPN
ejpam-597	184	27	(	(	PUNCT
ejpam-597	184	28	f	f	PROPN
ejpam-597	184	29	∗	∗	PROPN
ejpam-597	184	30	g)(z	g)(z	PUNCT
ejpam-597	184	31	)	)	PUNCT
ejpam-597	184	32	�	�	PROPN
ejpam-597	184	33	δ	δ	PROPN
ejpam-597	184	34	,	,	PUNCT
ejpam-597	184	35	and	and	CCONJ
ejpam-597	184	36	q	q	NOUN
ejpam-597	184	37	is	be	AUX
ejpam-597	184	38	the	the	DET
ejpam-597	184	39	best	good	ADJ
ejpam-597	184	40	subordinant	subordinant	NOUN
ejpam-597	184	41	of	of	ADP
ejpam-597	184	42	(	(	PUNCT
ejpam-597	184	43	26	26	NUM
ejpam-597	184	44	)	)	PUNCT
ejpam-597	184	45	.	.	PUNCT
ejpam-597	185	1	m.	m.	PROPN
ejpam-597	185	2	aouf	aouf	PROPN
ejpam-597	185	3	and	and	CCONJ
ejpam-597	185	4	a.	a.	PROPN
ejpam-597	185	5	mostafa	mostafa	PROPN
ejpam-597	185	6	/	/	SYM
ejpam-597	185	7	eur	eur	PROPN
ejpam-597	185	8	.	.	PUNCT
ejpam-597	186	1	j.	j.	PROPN
ejpam-597	186	2	pure	pure	PROPN
ejpam-597	186	3	appl	appl	PROPN
ejpam-597	186	4	.	.	PROPN
ejpam-597	186	5	math	math	PROPN
ejpam-597	186	6	,	,	PUNCT
ejpam-597	186	7	3	3	NUM
ejpam-597	186	8	(	(	PUNCT
ejpam-597	186	9	2010	2010	NUM
ejpam-597	186	10	)	)	PUNCT
ejpam-597	186	11	,	,	PUNCT
ejpam-597	186	12	641	641	NUM
ejpam-597	186	13	-	-	SYM
ejpam-597	186	14	652	652	NUM
ejpam-597	186	15	649	649	NUM
ejpam-597	186	16	proof	proof	NOUN
ejpam-597	186	17	.	.	PUNCT
ejpam-597	187	1	define	define	VERB
ejpam-597	187	2	a	a	DET
ejpam-597	187	3	function	function	NOUN
ejpam-597	187	4	p	p	NOUN
ejpam-597	187	5	defined	define	VERB
ejpam-597	187	6	by	by	ADP
ejpam-597	187	7	(	(	PUNCT
ejpam-597	187	8	14	14	NUM
ejpam-597	187	9	)	)	PUNCT
ejpam-597	187	10	.	.	PUNCT
ejpam-597	188	1	then	then	ADV
ejpam-597	188	2	simple	simple	ADJ
ejpam-597	188	3	computations	computation	NOUN
ejpam-597	188	4	show	show	VERB
ejpam-597	188	5	that	that	SCONJ
ejpam-597	188	6	p(z	p(z	NOUN
ejpam-597	188	7	)	)	PUNCT
ejpam-597	189	1	+	+	CCONJ
ejpam-597	189	2	η	η	PROPN
ejpam-597	189	3	δ	δ	PROPN
ejpam-597	189	4	zp′(z	zp′(z	PROPN
ejpam-597	189	5	)	)	PUNCT
ejpam-597	189	6	=	=	SYM
ejpam-597	190	1	χg(δ	χg(δ	PROPN
ejpam-597	190	2	,	,	PUNCT
ejpam-597	190	3	η	η	PROPN
ejpam-597	190	4	,	,	PUNCT
ejpam-597	190	5	f	f	PROPN
ejpam-597	190	6	)	)	PUNCT
ejpam-597	190	7	.	.	PUNCT
ejpam-597	191	1	putting	put	VERB
ejpam-597	191	2	θ(w	θ(w	ADV
ejpam-597	191	3	)	)	PUNCT
ejpam-597	191	4	=	=	SYM
ejpam-597	191	5	w	w	PROPN
ejpam-597	191	6	and	and	CCONJ
ejpam-597	191	7	ϕ(w	ϕ(w	PROPN
ejpam-597	191	8	)	)	PUNCT
ejpam-597	191	9	=	=	SYM
ejpam-597	191	10	η	η	PROPN
ejpam-597	191	11	/	/	SYM
ejpam-597	191	12	δ	δ	PROPN
ejpam-597	191	13	,	,	PUNCT
ejpam-597	191	14	then	then	ADV
ejpam-597	191	15	θ	θ	PROPN
ejpam-597	191	16	and	and	CCONJ
ejpam-597	191	17	ϕ	ϕ	PROPN
ejpam-597	191	18	are	be	AUX
ejpam-597	191	19	analytic	analytic	ADJ
ejpam-597	191	20	in	in	ADP
ejpam-597	191	21	c	c	PROPN
ejpam-597	191	22	,	,	PUNCT
ejpam-597	191	23	and	and	CCONJ
ejpam-597	191	24	re	re	VERB
ejpam-597	191	25	θ	θ	PROPN
ejpam-597	191	26	′(q(z	′(q(z	NOUN
ejpam-597	191	27	)	)	PUNCT
ejpam-597	191	28	)	)	PUNCT
ejpam-597	192	1	ϕ(q(z	ϕ(q(z	PROPN
ejpam-597	192	2	)	)	PUNCT
ejpam-597	192	3	)	)	PUNCT
ejpam-597	193	1	=	=	SYM
ejpam-597	193	2	re	re	VERB
ejpam-597	193	3	δ	δ	PROPN
ejpam-597	193	4	η	η	PROPN
ejpam-597	193	5	q′(z	q′(z	PROPN
ejpam-597	193	6	)	)	PUNCT
ejpam-597	193	7	>	>	X
ejpam-597	193	8	0	0	PUNCT
ejpam-597	194	1	(	(	PUNCT
ejpam-597	194	2	z	z	NOUN
ejpam-597	194	3	∈	∈	PROPN
ejpam-597	194	4	u	u	NOUN
ejpam-597	194	5	)	)	PUNCT
ejpam-597	194	6	.	.	PUNCT
ejpam-597	195	1	since	since	SCONJ
ejpam-597	195	2	q	q	PROPN
ejpam-597	195	3	is	be	AUX
ejpam-597	195	4	a	a	DET
ejpam-597	195	5	convex	convex	NOUN
ejpam-597	195	6	function	function	NOUN
ejpam-597	195	7	,	,	PUNCT
ejpam-597	195	8	it	it	PRON
ejpam-597	195	9	follows	follow	VERB
ejpam-597	195	10	that	that	SCONJ
ejpam-597	195	11	h(z	h(z	NOUN
ejpam-597	195	12	)	)	PUNCT
ejpam-597	195	13	=	=	SYM
ejpam-597	195	14	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-597	195	15	)	)	PUNCT
ejpam-597	195	16	)	)	PUNCT
ejpam-597	196	1	=	=	PRON
ejpam-597	196	2	ηzq′(z	ηzq′(z	NOUN
ejpam-597	196	3	)	)	PUNCT
ejpam-597	196	4	δ	δ	PROPN
ejpam-597	196	5	is	be	AUX
ejpam-597	196	6	starlike	starlike	NOUN
ejpam-597	196	7	in	in	ADP
ejpam-597	196	8	u	u	PROPN
ejpam-597	196	9	.	.	PUNCT
ejpam-597	197	1	then	then	ADV
ejpam-597	197	2	by	by	ADP
ejpam-597	197	3	applying	apply	VERB
ejpam-597	197	4	lemma	lemma	PROPN
ejpam-597	197	5	3	3	NUM
ejpam-597	197	6	,	,	PUNCT
ejpam-597	197	7	the	the	DET
ejpam-597	197	8	proof	proof	NOUN
ejpam-597	197	9	is	be	AUX
ejpam-597	197	10	completed	complete	VERB
ejpam-597	197	11	.	.	PUNCT
ejpam-597	198	1	letting	let	VERB
ejpam-597	198	2	g	g	NOUN
ejpam-597	198	3	be	be	AUX
ejpam-597	198	4	of	of	ADP
ejpam-597	198	5	the	the	DET
ejpam-597	198	6	form	form	NOUN
ejpam-597	198	7	(	(	PUNCT
ejpam-597	198	8	5	5	NUM
ejpam-597	198	9	)	)	PUNCT
ejpam-597	198	10	in	in	ADP
ejpam-597	198	11	theorem	theorem	NOUN
ejpam-597	198	12	3	3	NUM
ejpam-597	198	13	and	and	CCONJ
ejpam-597	198	14	using	use	VERB
ejpam-597	198	15	the	the	DET
ejpam-597	198	16	identity	identity	NOUN
ejpam-597	198	17	(	(	PUNCT
ejpam-597	198	18	19	19	NUM
ejpam-597	198	19	)	)	PUNCT
ejpam-597	198	20	,	,	PUNCT
ejpam-597	198	21	we	we	PRON
ejpam-597	198	22	get	get	VERB
ejpam-597	198	23	the	the	DET
ejpam-597	198	24	following	following	ADJ
ejpam-597	198	25	result	result	NOUN
ejpam-597	198	26	obtained	obtain	VERB
ejpam-597	198	27	the	the	DET
ejpam-597	198	28	following	following	ADJ
ejpam-597	198	29	result	result	NOUN
ejpam-597	198	30	:	:	PUNCT
ejpam-597	199	1	corollary	corollary	ADJ
ejpam-597	199	2	6	6	NUM
ejpam-597	199	3	.	.	PUNCT
ejpam-597	200	1	let	let	VERB
ejpam-597	200	2	q	q	NOUN
ejpam-597	200	3	be	be	AUX
ejpam-597	200	4	convex	convex	ADJ
ejpam-597	200	5	in	in	ADP
ejpam-597	200	6	u	u	NOUN
ejpam-597	200	7	,	,	PUNCT
ejpam-597	200	8	and	and	CCONJ
ejpam-597	200	9	suppose	suppose	VERB
ejpam-597	200	10	that	that	SCONJ
ejpam-597	200	11	δ	δ	PROPN
ejpam-597	200	12	,	,	PUNCT
ejpam-597	200	13	η	η	PROPN
ejpam-597	200	14	∈	∈	PROPN
ejpam-597	200	15	c∗	c∗	PROPN
ejpam-597	200	16	satisfies	satisfy	VERB
ejpam-597	200	17	the	the	DET
ejpam-597	200	18	condition	condition	NOUN
ejpam-597	200	19	(	(	PUNCT
ejpam-597	200	20	25	25	NUM
ejpam-597	200	21	)	)	PUNCT
ejpam-597	200	22	.	.	PUNCT
ejpam-597	201	1	for	for	ADP
ejpam-597	201	2	all	all	DET
ejpam-597	201	3	functions	function	NOUN
ejpam-597	201	4	f	f	PROPN
ejpam-597	201	5	∈	∈	NOUN
ejpam-597	201	6	s	s	PART
ejpam-597	201	7	with	with	ADP
ejpam-597	201	8	hl	hl	NOUN
ejpam-597	201	9	,	,	PUNCT
ejpam-597	201	10	s(α1	s(α1	NOUN
ejpam-597	201	11	)	)	PUNCT
ejpam-597	202	1	f	f	PROPN
ejpam-597	202	2	(	(	PUNCT
ejpam-597	202	3	z	z	NOUN
ejpam-597	202	4	)	)	PUNCT
ejpam-597	202	5	6=	6=	ADP
ejpam-597	202	6	0	0	NUM
ejpam-597	202	7	,	,	PUNCT
ejpam-597	202	8	z	z	PROPN
ejpam-597	202	9	∈	∈	PROPN
ejpam-597	202	10	u∗	u∗	PROPN
ejpam-597	202	11	,	,	PUNCT
ejpam-597	202	12	suppose	suppose	VERB
ejpam-597	202	13	that	that	SCONJ
ejpam-597	202	14	�	�	PROPN
ejpam-597	202	15	z	z	PROPN
ejpam-597	202	16	hl	hl	PROPN
ejpam-597	202	17	,	,	PUNCT
ejpam-597	202	18	s(α1	s(α1	NOUN
ejpam-597	202	19	)	)	PUNCT
ejpam-597	203	1	f	f	PROPN
ejpam-597	203	2	(	(	PUNCT
ejpam-597	203	3	z	z	NOUN
ejpam-597	203	4	)	)	PUNCT
ejpam-597	203	5	�	�	PROPN
ejpam-597	203	6	α	α	PROPN
ejpam-597	203	7	∈	∈	PROPN
ejpam-597	203	8	h[q(0	h[q(0	PROPN
ejpam-597	203	9	)	)	PUNCT
ejpam-597	203	10	,	,	PUNCT
ejpam-597	203	11	1]∩q	1]∩q	NUM
ejpam-597	203	12	,	,	PUNCT
ejpam-597	203	13	and	and	CCONJ
ejpam-597	203	14	that	that	SCONJ
ejpam-597	203	15	χ1(α1;δ	χ1(α1;δ	NOUN
ejpam-597	203	16	,	,	PUNCT
ejpam-597	203	17	η	η	PROPN
ejpam-597	203	18	;	;	PUNCT
ejpam-597	203	19	f	f	X
ejpam-597	203	20	)	)	PUNCT
ejpam-597	203	21	is	be	AUX
ejpam-597	203	22	univalent	univalent	ADJ
ejpam-597	203	23	in	in	ADP
ejpam-597	203	24	u	u	NOUN
ejpam-597	203	25	,	,	PUNCT
ejpam-597	203	26	where	where	SCONJ
ejpam-597	203	27	χ1(α1;δ	χ1(α1;δ	NOUN
ejpam-597	203	28	,	,	PUNCT
ejpam-597	203	29	η	η	PROPN
ejpam-597	203	30	;	;	PUNCT
ejpam-597	203	31	f	f	X
ejpam-597	203	32	)	)	PUNCT
ejpam-597	203	33	is	be	AUX
ejpam-597	203	34	given	give	VERB
ejpam-597	203	35	by	by	ADP
ejpam-597	203	36	(	(	PUNCT
ejpam-597	203	37	20	20	NUM
ejpam-597	203	38	)	)	PUNCT
ejpam-597	203	39	.	.	PUNCT
ejpam-597	204	1	then	then	ADV
ejpam-597	204	2	,	,	PUNCT
ejpam-597	204	3	q(z	q(z	PROPN
ejpam-597	204	4	)	)	PUNCT
ejpam-597	204	5	+	+	CCONJ
ejpam-597	204	6	η	η	PROPN
ejpam-597	204	7	δ	δ	PROPN
ejpam-597	204	8	zq′(z	zq′(z	PROPN
ejpam-597	204	9	)	)	PUNCT
ejpam-597	204	10	≺	≺	NOUN
ejpam-597	204	11	χ1(α1;δ	χ1(α1;δ	PROPN
ejpam-597	204	12	,	,	PUNCT
ejpam-597	204	13	η	η	PROPN
ejpam-597	204	14	;	;	PUNCT
ejpam-597	204	15	f	f	X
ejpam-597	204	16	)	)	PUNCT
ejpam-597	204	17	(	(	PUNCT
ejpam-597	204	18	z	z	NOUN
ejpam-597	204	19	)	)	PUNCT
ejpam-597	204	20	,	,	PUNCT
ejpam-597	204	21	(	(	PUNCT
ejpam-597	204	22	27	27	NUM
ejpam-597	204	23	)	)	PUNCT
ejpam-597	204	24	implies	imply	VERB
ejpam-597	204	25	q(z	q(z	PROPN
ejpam-597	204	26	)	)	PUNCT
ejpam-597	204	27	≺	≺	NOUN
ejpam-597	204	28	�	�	PROPN
ejpam-597	204	29	z	z	PROPN
ejpam-597	204	30	hl	hl	PROPN
ejpam-597	204	31	,	,	PUNCT
ejpam-597	204	32	s(α1	s(α1	NOUN
ejpam-597	204	33	)	)	PUNCT
ejpam-597	205	1	f	f	PROPN
ejpam-597	205	2	(	(	PUNCT
ejpam-597	205	3	z	z	NOUN
ejpam-597	205	4	)	)	PUNCT
ejpam-597	205	5	�	�	PROPN
ejpam-597	205	6	δ	δ	PROPN
ejpam-597	205	7	,	,	PUNCT
ejpam-597	205	8	and	and	CCONJ
ejpam-597	205	9	q	q	NOUN
ejpam-597	205	10	is	be	AUX
ejpam-597	205	11	the	the	DET
ejpam-597	205	12	best	good	ADJ
ejpam-597	205	13	subordinant	subordinant	NOUN
ejpam-597	205	14	of	of	ADP
ejpam-597	205	15	(	(	PUNCT
ejpam-597	205	16	27	27	NUM
ejpam-597	205	17	)	)	PUNCT
ejpam-597	205	18	.	.	PUNCT
ejpam-597	206	1	letting	let	VERB
ejpam-597	206	2	g	g	NOUN
ejpam-597	206	3	be	be	AUX
ejpam-597	206	4	of	of	ADP
ejpam-597	206	5	the	the	DET
ejpam-597	206	6	form	form	NOUN
ejpam-597	206	7	(	(	PUNCT
ejpam-597	206	8	6	6	NUM
ejpam-597	206	9	)	)	PUNCT
ejpam-597	206	10	in	in	ADP
ejpam-597	206	11	theorem	theorem	NOUN
ejpam-597	206	12	3	3	NUM
ejpam-597	206	13	and	and	CCONJ
ejpam-597	206	14	using	use	VERB
ejpam-597	206	15	the	the	DET
ejpam-597	206	16	identity	identity	NOUN
ejpam-597	206	17	(	(	PUNCT
ejpam-597	206	18	21	21	NUM
ejpam-597	206	19	)	)	PUNCT
ejpam-597	206	20	,	,	PUNCT
ejpam-597	206	21	we	we	PRON
ejpam-597	206	22	have	have	AUX
ejpam-597	206	23	:	:	PUNCT
ejpam-597	206	24	corollary	corollary	ADJ
ejpam-597	206	25	7	7	X
ejpam-597	206	26	.	.	PUNCT
ejpam-597	207	1	let	let	VERB
ejpam-597	207	2	q	q	NOUN
ejpam-597	207	3	be	be	AUX
ejpam-597	207	4	convex	convex	ADJ
ejpam-597	207	5	in	in	ADP
ejpam-597	207	6	u	u	NOUN
ejpam-597	207	7	,	,	PUNCT
ejpam-597	207	8	and	and	CCONJ
ejpam-597	207	9	suppose	suppose	VERB
ejpam-597	207	10	that	that	SCONJ
ejpam-597	207	11	α	α	X
ejpam-597	207	12	,	,	PUNCT
ejpam-597	207	13	η	η	PROPN
ejpam-597	207	14	∈	∈	PROPN
ejpam-597	207	15	c∗	c∗	PROPN
ejpam-597	207	16	satisfies	satisfy	VERB
ejpam-597	207	17	the	the	DET
ejpam-597	207	18	condition	condition	NOUN
ejpam-597	207	19	(	(	PUNCT
ejpam-597	207	20	25	25	NUM
ejpam-597	207	21	)	)	PUNCT
ejpam-597	207	22	.	.	PUNCT
ejpam-597	208	1	for	for	ADP
ejpam-597	208	2	all	all	DET
ejpam-597	208	3	functions	function	NOUN
ejpam-597	208	4	f	f	PROPN
ejpam-597	208	5	∈	∈	NOUN
ejpam-597	208	6	s	s	PART
ejpam-597	208	7	with	with	ADP
ejpam-597	208	8	i(m	i(m	NOUN
ejpam-597	208	9	,	,	PUNCT
ejpam-597	208	10	λ	λ	NOUN
ejpam-597	208	11	,	,	PUNCT
ejpam-597	208	12	l	l	NOUN
ejpam-597	208	13	)	)	PUNCT
ejpam-597	209	1	f	f	NOUN
ejpam-597	209	2	(	(	PUNCT
ejpam-597	209	3	z	z	NOUN
ejpam-597	209	4	)	)	PUNCT
ejpam-597	209	5	6=	6=	ADP
ejpam-597	209	6	0	0	NUM
ejpam-597	209	7	,	,	PUNCT
ejpam-597	209	8	z	z	PROPN
ejpam-597	209	9	∈	∈	PROPN
ejpam-597	209	10	u∗	u∗	VERB
ejpam-597	209	11	�	�	PROPN
ejpam-597	209	12	λ	λ	PROPN
ejpam-597	209	13	>	>	X
ejpam-597	209	14	0	0	PROPN
ejpam-597	209	15	,	,	PUNCT
ejpam-597	209	16	l	l	X
ejpam-597	209	17	≥	≥	NOUN
ejpam-597	209	18	0	0	NUM
ejpam-597	209	19	,	,	PUNCT
ejpam-597	209	20	m	m	PROPN
ejpam-597	209	21	∈	∈	PROPN
ejpam-597	209	22	n0	n0	PROPN
ejpam-597	209	23	�	�	PROPN
ejpam-597	209	24	,	,	PUNCT
ejpam-597	209	25	suppose	suppose	VERB
ejpam-597	209	26	that	that	SCONJ
ejpam-597	209	27	�	�	PROPN
ejpam-597	209	28	z	z	NOUN
ejpam-597	209	29	i(m	i(m	NOUN
ejpam-597	209	30	,	,	PUNCT
ejpam-597	209	31	λ	λ	NOUN
ejpam-597	209	32	,	,	PUNCT
ejpam-597	209	33	l	l	NOUN
ejpam-597	209	34	)	)	PUNCT
ejpam-597	209	35	f	f	NOUN
ejpam-597	209	36	(	(	PUNCT
ejpam-597	209	37	z	z	NOUN
ejpam-597	209	38	)	)	PUNCT
ejpam-597	209	39	�	�	PROPN
ejpam-597	209	40	δ	δ	PROPN
ejpam-597	209	41	∈	∈	PROPN
ejpam-597	209	42	h[q(0	h[q(0	PROPN
ejpam-597	209	43	)	)	PUNCT
ejpam-597	209	44	,	,	PUNCT
ejpam-597	209	45	1]∩q	1]∩q	NUM
ejpam-597	209	46	,	,	PUNCT
ejpam-597	209	47	and	and	CCONJ
ejpam-597	209	48	that	that	SCONJ
ejpam-597	209	49	χ2(m	χ2(m	PROPN
ejpam-597	209	50	,	,	PUNCT
ejpam-597	209	51	λ	λ	PROPN
ejpam-597	209	52	,	,	PUNCT
ejpam-597	209	53	l;δ	l;δ	PROPN
ejpam-597	209	54	,	,	PUNCT
ejpam-597	209	55	η	η	PROPN
ejpam-597	209	56	;	;	PUNCT
ejpam-597	209	57	f	f	X
ejpam-597	209	58	)	)	PUNCT
ejpam-597	209	59	is	be	AUX
ejpam-597	209	60	univalent	univalent	ADJ
ejpam-597	209	61	in	in	ADP
ejpam-597	209	62	u	u	NOUN
ejpam-597	209	63	,	,	PUNCT
ejpam-597	209	64	where	where	SCONJ
ejpam-597	209	65	χ2(m	χ2(m	PROPN
ejpam-597	209	66	,	,	PUNCT
ejpam-597	209	67	λ	λ	PROPN
ejpam-597	209	68	,	,	PUNCT
ejpam-597	209	69	l;δ	l;δ	PROPN
ejpam-597	209	70	,	,	PUNCT
ejpam-597	209	71	η	η	PROPN
ejpam-597	209	72	;	;	PUNCT
ejpam-597	209	73	f	f	X
ejpam-597	209	74	)	)	PUNCT
ejpam-597	209	75	is	be	AUX
ejpam-597	209	76	given	give	VERB
ejpam-597	209	77	by	by	ADP
ejpam-597	209	78	(	(	PUNCT
ejpam-597	209	79	22	22	NUM
ejpam-597	209	80	)	)	PUNCT
ejpam-597	209	81	.	.	PUNCT
ejpam-597	210	1	then	then	ADV
ejpam-597	210	2	,	,	PUNCT
ejpam-597	210	3	q(z	q(z	PROPN
ejpam-597	210	4	)	)	PUNCT
ejpam-597	210	5	+	+	NUM
ejpam-597	210	6	η	η	PROPN
ejpam-597	210	7	α	α	PROPN
ejpam-597	210	8	zq′(z	zq′(z	PROPN
ejpam-597	210	9	)	)	PUNCT
ejpam-597	210	10	≺	≺	VERB
ejpam-597	210	11	χ2(m	χ2(m	SYM
ejpam-597	210	12	,	,	PUNCT
ejpam-597	210	13	λ	λ	PROPN
ejpam-597	210	14	,	,	PUNCT
ejpam-597	210	15	l;α	l;α	NUM
ejpam-597	210	16	,	,	PUNCT
ejpam-597	210	17	η	η	PROPN
ejpam-597	210	18	;	;	PUNCT
ejpam-597	210	19	f	f	X
ejpam-597	210	20	)	)	PUNCT
ejpam-597	210	21	(	(	PUNCT
ejpam-597	210	22	z	z	NOUN
ejpam-597	210	23	)	)	PUNCT
ejpam-597	210	24	,	,	PUNCT
ejpam-597	210	25	(	(	PUNCT
ejpam-597	210	26	28	28	NUM
ejpam-597	210	27	)	)	PUNCT
ejpam-597	210	28	implies	imply	VERB
ejpam-597	210	29	q(z)≺	q(z)≺	PROPN
ejpam-597	210	30	�	�	PROPN
ejpam-597	210	31	z	z	NOUN
ejpam-597	210	32	i(m	i(m	PROPN
ejpam-597	210	33	,	,	PUNCT
ejpam-597	210	34	λ	λ	NOUN
ejpam-597	210	35	,	,	PUNCT
ejpam-597	210	36	l	l	NOUN
ejpam-597	210	37	)	)	PUNCT
ejpam-597	210	38	f	f	NOUN
ejpam-597	210	39	(	(	PUNCT
ejpam-597	210	40	z	z	NOUN
ejpam-597	210	41	)	)	PUNCT
ejpam-597	210	42	�	�	PROPN
ejpam-597	210	43	α	α	NOUN
ejpam-597	210	44	,	,	PUNCT
ejpam-597	210	45	and	and	CCONJ
ejpam-597	210	46	q	q	NOUN
ejpam-597	210	47	is	be	AUX
ejpam-597	210	48	the	the	DET
ejpam-597	210	49	best	good	ADJ
ejpam-597	210	50	subordinant	subordinant	NOUN
ejpam-597	210	51	of	of	ADP
ejpam-597	210	52	(	(	PUNCT
ejpam-597	210	53	28	28	NUM
ejpam-597	210	54	)	)	PUNCT
ejpam-597	210	55	.	.	PUNCT
ejpam-597	211	1	combining	combine	VERB
ejpam-597	211	2	theorem	theorem	ADJ
ejpam-597	211	3	1	1	NUM
ejpam-597	211	4	and	and	CCONJ
ejpam-597	211	5	theorem	theorem	VERB
ejpam-597	211	6	3	3	NUM
ejpam-597	211	7	,	,	PUNCT
ejpam-597	211	8	we	we	PRON
ejpam-597	211	9	deduce	deduce	VERB
ejpam-597	211	10	the	the	DET
ejpam-597	211	11	following	follow	VERB
ejpam-597	211	12	sandwich	sandwich	NOUN
ejpam-597	211	13	theorem	theorem	NOUN
ejpam-597	211	14	:	:	PUNCT
ejpam-597	211	15	m.	m.	PROPN
ejpam-597	211	16	aouf	aouf	PROPN
ejpam-597	211	17	and	and	CCONJ
ejpam-597	211	18	a.	a.	PROPN
ejpam-597	211	19	mostafa	mostafa	PROPN
ejpam-597	211	20	/	/	SYM
ejpam-597	211	21	eur	eur	PROPN
ejpam-597	211	22	.	.	PUNCT
ejpam-597	212	1	j.	j.	PROPN
ejpam-597	212	2	pure	pure	PROPN
ejpam-597	212	3	appl	appl	PROPN
ejpam-597	212	4	.	.	PROPN
ejpam-597	212	5	math	math	PROPN
ejpam-597	212	6	,	,	PUNCT
ejpam-597	212	7	3	3	NUM
ejpam-597	212	8	(	(	PUNCT
ejpam-597	212	9	2010	2010	NUM
ejpam-597	212	10	)	)	PUNCT
ejpam-597	212	11	,	,	PUNCT
ejpam-597	212	12	641	641	NUM
ejpam-597	212	13	-	-	SYM
ejpam-597	212	14	652	652	NUM
ejpam-597	212	15	650	650	NUM
ejpam-597	212	16	theorem	theorem	NOUN
ejpam-597	212	17	4	4	NUM
ejpam-597	212	18	.	.	PUNCT
ejpam-597	213	1	let	let	AUX
ejpam-597	213	2	q1	q1	PROPN
ejpam-597	213	3	and	and	CCONJ
ejpam-597	213	4	q2	q2	NOUN
ejpam-597	213	5	be	be	VERB
ejpam-597	213	6	convex	convex	NOUN
ejpam-597	213	7	functions	function	NOUN
ejpam-597	213	8	in	in	ADP
ejpam-597	213	9	u.	u.	PROPN
ejpam-597	213	10	suppose	suppose	VERB
ejpam-597	213	11	that	that	SCONJ
ejpam-597	213	12	δ	δ	PROPN
ejpam-597	213	13	,	,	PUNCT
ejpam-597	213	14	η	η	PROPN
ejpam-597	213	15	∈	∈	PROPN
ejpam-597	213	16	c∗	c∗	ADJ
ejpam-597	213	17	satisfies	satisfie	NOUN
ejpam-597	213	18	(	(	PUNCT
ejpam-597	213	19	25	25	NUM
ejpam-597	213	20	)	)	PUNCT
ejpam-597	213	21	and	and	CCONJ
ejpam-597	213	22	q2	q2	NOUN
ejpam-597	213	23	satisfies	satisfie	NOUN
ejpam-597	213	24	(	(	PUNCT
ejpam-597	213	25	10	10	NUM
ejpam-597	213	26	)	)	PUNCT
ejpam-597	213	27	.	.	PUNCT
ejpam-597	214	1	let	let	VERB
ejpam-597	214	2	f	f	NOUN
ejpam-597	214	3	,	,	PUNCT
ejpam-597	214	4	g	g	PROPN
ejpam-597	214	5	∈	∈	PROPN
ejpam-597	214	6	s	s	PART
ejpam-597	214	7	,	,	PUNCT
ejpam-597	214	8	with	with	ADP
ejpam-597	214	9	(	(	PUNCT
ejpam-597	214	10	f	f	PROPN
ejpam-597	214	11	∗	∗	NOUN
ejpam-597	214	12	g)(z	g)(z	PUNCT
ejpam-597	214	13	)	)	PUNCT
ejpam-597	214	14	6=	6=	ADP
ejpam-597	214	15	0	0	NUM
ejpam-597	214	16	,	,	PUNCT
ejpam-597	214	17	z	z	PROPN
ejpam-597	214	18	∈	∈	PROPN
ejpam-597	214	19	u∗	u∗	PROPN
ejpam-597	214	20	,	,	PUNCT
ejpam-597	214	21	suppose	suppose	VERB
ejpam-597	214	22	that	that	SCONJ
ejpam-597	214	23	�	�	PROPN
ejpam-597	214	24	z	z	PROPN
ejpam-597	214	25	(	(	PUNCT
ejpam-597	214	26	f	f	PROPN
ejpam-597	214	27	∗	∗	PROPN
ejpam-597	214	28	g)(z	g)(z	PUNCT
ejpam-597	214	29	)	)	PUNCT
ejpam-597	214	30	�	�	PROPN
ejpam-597	214	31	δ	δ	PROPN
ejpam-597	214	32	∈	∈	PROPN
ejpam-597	214	33	h[q(0	h[q(0	PROPN
ejpam-597	214	34	)	)	PUNCT
ejpam-597	214	35	,	,	PUNCT
ejpam-597	214	36	1]∩q	1]∩q	NUM
ejpam-597	214	37	,	,	PUNCT
ejpam-597	214	38	and	and	CCONJ
ejpam-597	214	39	that	that	SCONJ
ejpam-597	214	40	χg(δ	χg(δ	PROPN
ejpam-597	214	41	,	,	PUNCT
ejpam-597	214	42	η	η	PROPN
ejpam-597	214	43	;	;	PUNCT
ejpam-597	214	44	f	f	X
ejpam-597	214	45	)	)	PUNCT
ejpam-597	214	46	is	be	AUX
ejpam-597	214	47	univalent	univalent	ADJ
ejpam-597	214	48	in	in	ADP
ejpam-597	214	49	u	u	NOUN
ejpam-597	214	50	,	,	PUNCT
ejpam-597	214	51	where	where	SCONJ
ejpam-597	214	52	χg(δ	χg(δ	NOUN
ejpam-597	214	53	,	,	PUNCT
ejpam-597	214	54	η	η	PROPN
ejpam-597	214	55	;	;	PUNCT
ejpam-597	214	56	f	f	X
ejpam-597	214	57	)	)	PUNCT
ejpam-597	214	58	is	be	AUX
ejpam-597	214	59	given	give	VERB
ejpam-597	214	60	by	by	ADP
ejpam-597	214	61	(	(	PUNCT
ejpam-597	214	62	12	12	NUM
ejpam-597	214	63	)	)	PUNCT
ejpam-597	214	64	.	.	PUNCT
ejpam-597	215	1	then	then	ADV
ejpam-597	215	2	,	,	PUNCT
ejpam-597	215	3	q1(z	q1(z	PROPN
ejpam-597	215	4	)	)	PUNCT
ejpam-597	215	5	+	+	CCONJ
ejpam-597	215	6	η	η	PROPN
ejpam-597	215	7	δ	δ	PROPN
ejpam-597	215	8	zq′1(z	zq′1(z	PROPN
ejpam-597	215	9	)	)	PUNCT
ejpam-597	215	10	≺	≺	NOUN
ejpam-597	215	11	χg(δ	χg(δ	NUM
ejpam-597	215	12	,	,	PUNCT
ejpam-597	215	13	η	η	PROPN
ejpam-597	215	14	;	;	PUNCT
ejpam-597	215	15	f	f	X
ejpam-597	215	16	)	)	PUNCT
ejpam-597	215	17	(	(	PUNCT
ejpam-597	215	18	z)≺	z)≺	PROPN
ejpam-597	215	19	q2(z	q2(z	VERB
ejpam-597	215	20	)	)	PUNCT
ejpam-597	215	21	+	+	NUM
ejpam-597	215	22	η	η	PROPN
ejpam-597	215	23	δ	δ	PROPN
ejpam-597	215	24	zq′2(z	zq′2(z	NOUN
ejpam-597	215	25	)	)	PUNCT
ejpam-597	215	26	,	,	PUNCT
ejpam-597	215	27	(	(	PUNCT
ejpam-597	215	28	29	29	NUM
ejpam-597	215	29	)	)	PUNCT
ejpam-597	215	30	implies	imply	VERB
ejpam-597	215	31	q1(z	q1(z	NUM
ejpam-597	215	32	)	)	PUNCT
ejpam-597	215	33	≺	≺	NOUN
ejpam-597	215	34	�	�	PROPN
ejpam-597	215	35	z	z	PROPN
ejpam-597	215	36	(	(	PUNCT
ejpam-597	215	37	f	f	PROPN
ejpam-597	215	38	∗	∗	PROPN
ejpam-597	215	39	g)(z	g)(z	PUNCT
ejpam-597	215	40	)	)	PUNCT
ejpam-597	215	41	�	�	PROPN
ejpam-597	215	42	δ	δ	PROPN
ejpam-597	215	43	≺	≺	NOUN
ejpam-597	215	44	q2(z	q2(z	NOUN
ejpam-597	215	45	)	)	PUNCT
ejpam-597	215	46	,	,	PUNCT
ejpam-597	215	47	and	and	CCONJ
ejpam-597	215	48	q1	q1	PROPN
ejpam-597	215	49	and	and	CCONJ
ejpam-597	215	50	q2	q2	NOUN
ejpam-597	215	51	are	be	AUX
ejpam-597	215	52	respectively	respectively	ADV
ejpam-597	215	53	,	,	PUNCT
ejpam-597	215	54	the	the	DET
ejpam-597	215	55	best	good	ADJ
ejpam-597	215	56	subordinant	subordinant	NOUN
ejpam-597	215	57	and	and	CCONJ
ejpam-597	215	58	the	the	DET
ejpam-597	215	59	best	good	ADJ
ejpam-597	215	60	dominant	dominant	NOUN
ejpam-597	215	61	.	.	PUNCT
ejpam-597	216	1	combining	combine	VERB
ejpam-597	216	2	corollary	corollary	ADJ
ejpam-597	216	3	2	2	NUM
ejpam-597	216	4	and	and	CCONJ
ejpam-597	216	5	corollary	corollary	ADJ
ejpam-597	216	6	6	6	NUM
ejpam-597	216	7	,	,	PUNCT
ejpam-597	216	8	we	we	PRON
ejpam-597	216	9	get	get	VERB
ejpam-597	216	10	the	the	DET
ejpam-597	216	11	sandwich	sandwich	NOUN
ejpam-597	216	12	result	result	NOUN
ejpam-597	216	13	:	:	PUNCT
ejpam-597	216	14	corollary	corollary	ADJ
ejpam-597	216	15	8	8	NUM
ejpam-597	216	16	.	.	PUNCT
ejpam-597	217	1	let	let	AUX
ejpam-597	217	2	q1	q1	PROPN
ejpam-597	217	3	and	and	CCONJ
ejpam-597	217	4	q2	q2	NOUN
ejpam-597	217	5	be	be	VERB
ejpam-597	217	6	convex	convex	NOUN
ejpam-597	217	7	functions	function	NOUN
ejpam-597	217	8	in	in	ADP
ejpam-597	217	9	u.	u.	PROPN
ejpam-597	217	10	suppose	suppose	VERB
ejpam-597	217	11	that	that	SCONJ
ejpam-597	217	12	δ	δ	PROPN
ejpam-597	217	13	,	,	PUNCT
ejpam-597	217	14	η	η	PROPN
ejpam-597	217	15	∈	∈	PROPN
ejpam-597	217	16	c∗	c∗	ADJ
ejpam-597	217	17	satisfies	satisfie	NOUN
ejpam-597	217	18	(	(	PUNCT
ejpam-597	217	19	25	25	NUM
ejpam-597	217	20	)	)	PUNCT
ejpam-597	217	21	and	and	CCONJ
ejpam-597	217	22	q2	q2	NOUN
ejpam-597	217	23	satisfies	satisfie	NOUN
ejpam-597	217	24	(	(	PUNCT
ejpam-597	217	25	10	10	NUM
ejpam-597	217	26	)	)	PUNCT
ejpam-597	217	27	.	.	PUNCT
ejpam-597	218	1	let	let	VERB
ejpam-597	218	2	f	f	PROPN
ejpam-597	218	3	∈	∈	PROPN
ejpam-597	218	4	s	s	PART
ejpam-597	218	5	,	,	PUNCT
ejpam-597	218	6	with	with	ADP
ejpam-597	218	7	hl	hl	NOUN
ejpam-597	218	8	,	,	PUNCT
ejpam-597	218	9	s(α1	s(α1	NOUN
ejpam-597	218	10	)	)	PUNCT
ejpam-597	219	1	f	f	PROPN
ejpam-597	219	2	(	(	PUNCT
ejpam-597	219	3	z	z	NOUN
ejpam-597	219	4	)	)	PUNCT
ejpam-597	219	5	6=	6=	ADP
ejpam-597	219	6	0	0	NUM
ejpam-597	219	7	,	,	PUNCT
ejpam-597	219	8	z	z	PROPN
ejpam-597	219	9	∈	∈	PROPN
ejpam-597	219	10	u∗	u∗	PROPN
ejpam-597	219	11	,	,	PUNCT
ejpam-597	219	12	suppose	suppose	VERB
ejpam-597	219	13	that	that	SCONJ
ejpam-597	219	14	�	�	PROPN
ejpam-597	219	15	z	z	PROPN
ejpam-597	219	16	hl	hl	PROPN
ejpam-597	219	17	,	,	PUNCT
ejpam-597	219	18	s(α1	s(α1	NOUN
ejpam-597	219	19	)	)	PUNCT
ejpam-597	220	1	f	f	PROPN
ejpam-597	220	2	(	(	PUNCT
ejpam-597	220	3	z	z	NOUN
ejpam-597	220	4	)	)	PUNCT
ejpam-597	220	5	�	�	PROPN
ejpam-597	220	6	δ	δ	PROPN
ejpam-597	220	7	∈	∈	PROPN
ejpam-597	220	8	h[q(0	h[q(0	PROPN
ejpam-597	220	9	)	)	PUNCT
ejpam-597	220	10	,	,	PUNCT
ejpam-597	220	11	1]∩q	1]∩q	NUM
ejpam-597	220	12	,	,	PUNCT
ejpam-597	220	13	and	and	CCONJ
ejpam-597	220	14	that	that	SCONJ
ejpam-597	220	15	χ1(α1;δ	χ1(α1;δ	NOUN
ejpam-597	220	16	,	,	PUNCT
ejpam-597	220	17	η	η	PROPN
ejpam-597	220	18	;	;	PUNCT
ejpam-597	220	19	f	f	X
ejpam-597	220	20	)	)	PUNCT
ejpam-597	220	21	is	be	AUX
ejpam-597	220	22	univalent	univalent	ADJ
ejpam-597	220	23	in	in	ADP
ejpam-597	220	24	u	u	NOUN
ejpam-597	220	25	,	,	PUNCT
ejpam-597	220	26	where	where	SCONJ
ejpam-597	220	27	χ1(α1;δ	χ1(α1;δ	NOUN
ejpam-597	220	28	,	,	PUNCT
ejpam-597	220	29	η	η	PROPN
ejpam-597	220	30	;	;	PUNCT
ejpam-597	220	31	f	f	X
ejpam-597	220	32	)	)	PUNCT
ejpam-597	220	33	is	be	AUX
ejpam-597	220	34	given	give	VERB
ejpam-597	220	35	by	by	ADP
ejpam-597	220	36	(	(	PUNCT
ejpam-597	220	37	20	20	NUM
ejpam-597	220	38	)	)	PUNCT
ejpam-597	220	39	.	.	PUNCT
ejpam-597	221	1	then	then	ADV
ejpam-597	221	2	,	,	PUNCT
ejpam-597	221	3	q1(z	q1(z	PROPN
ejpam-597	221	4	)	)	PUNCT
ejpam-597	221	5	+	+	CCONJ
ejpam-597	221	6	η	η	PROPN
ejpam-597	221	7	δ	δ	PROPN
ejpam-597	221	8	zq′1(z	zq′1(z	PROPN
ejpam-597	221	9	)	)	PUNCT
ejpam-597	221	10	≺	≺	NOUN
ejpam-597	221	11	χ1(α1;δ	χ1(α1;δ	PROPN
ejpam-597	221	12	,	,	PUNCT
ejpam-597	221	13	η	η	PROPN
ejpam-597	221	14	;	;	PUNCT
ejpam-597	221	15	f	f	PROPN
ejpam-597	221	16	)	)	PUNCT
ejpam-597	221	17	≺	≺	NOUN
ejpam-597	221	18	q2(z	q2(z	NUM
ejpam-597	221	19	)	)	PUNCT
ejpam-597	221	20	+	+	NUM
ejpam-597	221	21	η	η	PROPN
ejpam-597	221	22	δ	δ	PROPN
ejpam-597	221	23	zq′2(z	zq′2(z	NOUN
ejpam-597	221	24	)	)	PUNCT
ejpam-597	221	25	,	,	PUNCT
ejpam-597	221	26	implies	imply	VERB
ejpam-597	221	27	q1(z	q1(z	NUM
ejpam-597	221	28	)	)	PUNCT
ejpam-597	221	29	≺	≺	NOUN
ejpam-597	221	30	�	�	PROPN
ejpam-597	221	31	z	z	PROPN
ejpam-597	221	32	hl	hl	PROPN
ejpam-597	221	33	,	,	PUNCT
ejpam-597	221	34	s(α1	s(α1	NOUN
ejpam-597	221	35	)	)	PUNCT
ejpam-597	222	1	f	f	PROPN
ejpam-597	222	2	(	(	PUNCT
ejpam-597	222	3	z	z	NOUN
ejpam-597	222	4	)	)	PUNCT
ejpam-597	222	5	�	�	PROPN
ejpam-597	222	6	δ	δ	PROPN
ejpam-597	222	7	≺	≺	NOUN
ejpam-597	222	8	q2(z	q2(z	NOUN
ejpam-597	222	9	)	)	PUNCT
ejpam-597	222	10	,	,	PUNCT
ejpam-597	222	11	and	and	CCONJ
ejpam-597	222	12	q1	q1	PROPN
ejpam-597	222	13	and	and	CCONJ
ejpam-597	222	14	q2	q2	NOUN
ejpam-597	222	15	are	be	AUX
ejpam-597	222	16	respectively	respectively	ADV
ejpam-597	222	17	,	,	PUNCT
ejpam-597	222	18	the	the	DET
ejpam-597	222	19	best	good	ADJ
ejpam-597	222	20	subordinant	subordinant	NOUN
ejpam-597	222	21	and	and	CCONJ
ejpam-597	222	22	the	the	DET
ejpam-597	222	23	best	good	ADJ
ejpam-597	222	24	dominant	dominant	NOUN
ejpam-597	222	25	.	.	PUNCT
ejpam-597	223	1	combining	combine	VERB
ejpam-597	223	2	corollary	corollary	ADJ
ejpam-597	223	3	3	3	NUM
ejpam-597	223	4	and	and	CCONJ
ejpam-597	223	5	corollary	corollary	ADJ
ejpam-597	223	6	7	7	NUM
ejpam-597	223	7	,	,	PUNCT
ejpam-597	223	8	we	we	PRON
ejpam-597	223	9	get	get	VERB
ejpam-597	223	10	the	the	DET
ejpam-597	223	11	sandwich	sandwich	NOUN
ejpam-597	223	12	result	result	NOUN
ejpam-597	223	13	:	:	PUNCT
ejpam-597	223	14	corollary	corollary	ADJ
ejpam-597	223	15	9	9	NUM
ejpam-597	223	16	.	.	PUNCT
ejpam-597	224	1	let	let	AUX
ejpam-597	224	2	q1	q1	PROPN
ejpam-597	224	3	and	and	CCONJ
ejpam-597	224	4	q2	q2	NOUN
ejpam-597	224	5	be	be	VERB
ejpam-597	224	6	convex	convex	NOUN
ejpam-597	224	7	functions	function	NOUN
ejpam-597	224	8	in	in	ADP
ejpam-597	224	9	u.	u.	PROPN
ejpam-597	224	10	suppose	suppose	VERB
ejpam-597	224	11	that	that	SCONJ
ejpam-597	224	12	δ	δ	PROPN
ejpam-597	224	13	,	,	PUNCT
ejpam-597	224	14	η	η	PROPN
ejpam-597	224	15	∈	∈	PROPN
ejpam-597	224	16	c∗	c∗	ADJ
ejpam-597	224	17	satisfies	satisfie	NOUN
ejpam-597	224	18	(	(	PUNCT
ejpam-597	224	19	25	25	NUM
ejpam-597	224	20	)	)	PUNCT
ejpam-597	224	21	and	and	CCONJ
ejpam-597	224	22	q2	q2	NOUN
ejpam-597	224	23	satisfies	satisfie	NOUN
ejpam-597	224	24	(	(	PUNCT
ejpam-597	224	25	10	10	NUM
ejpam-597	224	26	)	)	PUNCT
ejpam-597	224	27	.	.	PUNCT
ejpam-597	225	1	let	let	VERB
ejpam-597	225	2	f	f	PROPN
ejpam-597	225	3	∈	∈	PROPN
ejpam-597	225	4	s	s	PART
ejpam-597	225	5	,	,	PUNCT
ejpam-597	225	6	with	with	ADP
ejpam-597	225	7	i(m	i(m	NOUN
ejpam-597	225	8	,	,	PUNCT
ejpam-597	225	9	λ	λ	NOUN
ejpam-597	225	10	,	,	PUNCT
ejpam-597	225	11	l	l	NOUN
ejpam-597	225	12	)	)	PUNCT
ejpam-597	226	1	f	f	NOUN
ejpam-597	226	2	(	(	PUNCT
ejpam-597	226	3	z	z	NOUN
ejpam-597	226	4	)	)	PUNCT
ejpam-597	226	5	6=	6=	ADP
ejpam-597	226	6	0	0	NUM
ejpam-597	226	7	,	,	PUNCT
ejpam-597	226	8	z	z	PROPN
ejpam-597	226	9	∈	∈	PROPN
ejpam-597	226	10	u∗	u∗	PROPN
ejpam-597	226	11	,	,	PUNCT
ejpam-597	226	12	suppose	suppose	VERB
ejpam-597	226	13	that	that	SCONJ
ejpam-597	226	14	�	�	PROPN
ejpam-597	226	15	z	z	NOUN
ejpam-597	226	16	i(m	i(m	NOUN
ejpam-597	226	17	,	,	PUNCT
ejpam-597	226	18	λ	λ	NOUN
ejpam-597	226	19	,	,	PUNCT
ejpam-597	226	20	l	l	NOUN
ejpam-597	226	21	)	)	PUNCT
ejpam-597	226	22	f	f	NOUN
ejpam-597	226	23	(	(	PUNCT
ejpam-597	226	24	z	z	NOUN
ejpam-597	226	25	)	)	PUNCT
ejpam-597	226	26	�	�	PROPN
ejpam-597	226	27	δ	δ	PROPN
ejpam-597	226	28	∈	∈	PROPN
ejpam-597	226	29	h[q(0	h[q(0	PROPN
ejpam-597	226	30	)	)	PUNCT
ejpam-597	226	31	,	,	PUNCT
ejpam-597	226	32	1]∩q	1]∩q	NUM
ejpam-597	226	33	,	,	PUNCT
ejpam-597	226	34	and	and	CCONJ
ejpam-597	226	35	that	that	SCONJ
ejpam-597	226	36	χ2(m	χ2(m	PROPN
ejpam-597	226	37	,	,	PUNCT
ejpam-597	226	38	λ	λ	PROPN
ejpam-597	226	39	,	,	PUNCT
ejpam-597	226	40	l;α	l;α	NUM
ejpam-597	226	41	,	,	PUNCT
ejpam-597	226	42	η	η	PROPN
ejpam-597	226	43	;	;	PUNCT
ejpam-597	226	44	f	f	X
ejpam-597	226	45	)	)	PUNCT
ejpam-597	226	46	is	be	AUX
ejpam-597	226	47	univalent	univalent	ADJ
ejpam-597	226	48	in	in	ADP
ejpam-597	226	49	u	u	NOUN
ejpam-597	226	50	,	,	PUNCT
ejpam-597	226	51	where	where	SCONJ
ejpam-597	226	52	χ2(m	χ2(m	PROPN
ejpam-597	226	53	,	,	PUNCT
ejpam-597	226	54	λ	λ	PROPN
ejpam-597	226	55	,	,	PUNCT
ejpam-597	226	56	l;α	l;α	NUM
ejpam-597	226	57	,	,	PUNCT
ejpam-597	226	58	η	η	PROPN
ejpam-597	226	59	;	;	PUNCT
ejpam-597	226	60	f	f	X
ejpam-597	226	61	)	)	PUNCT
ejpam-597	226	62	is	be	AUX
ejpam-597	226	63	given	give	VERB
ejpam-597	226	64	by	by	ADP
ejpam-597	226	65	(	(	PUNCT
ejpam-597	226	66	22	22	NUM
ejpam-597	226	67	)	)	PUNCT
ejpam-597	226	68	.	.	PUNCT
ejpam-597	227	1	then	then	ADV
ejpam-597	227	2	,	,	PUNCT
ejpam-597	227	3	q1(z	q1(z	PROPN
ejpam-597	227	4	)	)	PUNCT
ejpam-597	227	5	+	+	CCONJ
ejpam-597	227	6	η	η	PROPN
ejpam-597	227	7	δ	δ	PROPN
ejpam-597	227	8	zq′1(z	zq′1(z	PROPN
ejpam-597	227	9	)	)	PUNCT
ejpam-597	227	10	≺	≺	NOUN
ejpam-597	227	11	χ2(m	χ2(m	SYM
ejpam-597	227	12	,	,	PUNCT
ejpam-597	227	13	λ	λ	PROPN
ejpam-597	227	14	,	,	PUNCT
ejpam-597	227	15	l;α	l;α	NUM
ejpam-597	227	16	,	,	PUNCT
ejpam-597	227	17	η	η	PROPN
ejpam-597	227	18	;	;	PUNCT
ejpam-597	227	19	f	f	X
ejpam-597	227	20	)	)	PUNCT
ejpam-597	227	21	(	(	PUNCT
ejpam-597	227	22	z)≺	z)≺	PROPN
ejpam-597	227	23	q2(z	q2(z	VERB
ejpam-597	227	24	)	)	PUNCT
ejpam-597	227	25	+	+	NUM
ejpam-597	227	26	η	η	PROPN
ejpam-597	227	27	δ	δ	PROPN
ejpam-597	227	28	zq′2(z	zq′2(z	NOUN
ejpam-597	227	29	)	)	PUNCT
ejpam-597	227	30	,	,	PUNCT
ejpam-597	227	31	implies	imply	VERB
ejpam-597	227	32	q1(z	q1(z	NUM
ejpam-597	227	33	)	)	PUNCT
ejpam-597	227	34	≺	≺	NOUN
ejpam-597	227	35	�	�	PROPN
ejpam-597	227	36	z	z	NOUN
ejpam-597	227	37	i(m	i(m	NOUN
ejpam-597	227	38	,	,	PUNCT
ejpam-597	227	39	λ	λ	NOUN
ejpam-597	227	40	,	,	PUNCT
ejpam-597	227	41	l	l	NOUN
ejpam-597	227	42	)	)	PUNCT
ejpam-597	227	43	f	f	NOUN
ejpam-597	227	44	(	(	PUNCT
ejpam-597	227	45	z	z	NOUN
ejpam-597	227	46	)	)	PUNCT
ejpam-597	227	47	�	�	PROPN
ejpam-597	227	48	δ	δ	PROPN
ejpam-597	227	49	≺	≺	NOUN
ejpam-597	227	50	q2(z	q2(z	NOUN
ejpam-597	227	51	)	)	PUNCT
ejpam-597	227	52	,	,	PUNCT
ejpam-597	227	53	and	and	CCONJ
ejpam-597	227	54	q1	q1	PROPN
ejpam-597	227	55	and	and	CCONJ
ejpam-597	227	56	q2	q2	NOUN
ejpam-597	227	57	are	be	AUX
ejpam-597	227	58	respectively	respectively	ADV
ejpam-597	227	59	,	,	PUNCT
ejpam-597	227	60	the	the	DET
ejpam-597	227	61	best	good	ADJ
ejpam-597	227	62	subordinant	subordinant	NOUN
ejpam-597	227	63	and	and	CCONJ
ejpam-597	227	64	the	the	DET
ejpam-597	227	65	best	good	ADJ
ejpam-597	227	66	dominant	dominant	ADJ
ejpam-597	227	67	.	.	PUNCT
ejpam-597	228	1	remark	remark	PROPN
ejpam-597	228	2	2	2	NUM
ejpam-597	228	3	.	.	PUNCT
ejpam-597	229	1	taking	take	VERB
ejpam-597	229	2	g	g	NOUN
ejpam-597	229	3	in	in	ADP
ejpam-597	229	4	the	the	DET
ejpam-597	229	5	form	form	NOUN
ejpam-597	229	6	(	(	PUNCT
ejpam-597	229	7	4	4	NUM
ejpam-597	229	8	)	)	PUNCT
ejpam-597	229	9	in	in	ADP
ejpam-597	229	10	theorems	theorem	NOUN
ejpam-597	229	11	1	1	NUM
ejpam-597	229	12	,	,	PUNCT
ejpam-597	229	13	3	3	NUM
ejpam-597	229	14	and	and	CCONJ
ejpam-597	229	15	4	4	NUM
ejpam-597	229	16	,	,	PUNCT
ejpam-597	229	17	respectively	respectively	ADV
ejpam-597	229	18	,	,	PUNCT
ejpam-597	229	19	we	we	PRON
ejpam-597	229	20	obtain	obtain	VERB
ejpam-597	229	21	the	the	DET
ejpam-597	229	22	results	result	NOUN
ejpam-597	229	23	obtained	obtain	VERB
ejpam-597	229	24	by	by	ADP
ejpam-597	229	25	shanmugam	shanmugam	PROPN
ejpam-597	229	26	et	et	PROPN
ejpam-597	229	27	al	al	PROPN
ejpam-597	229	28	.	.	PUNCT
ejpam-597	230	1	[	[	PUNCT
ejpam-597	230	2	24	24	NUM
ejpam-597	230	3	,	,	PUNCT
ejpam-597	230	4	theorems	theorem	NOUN
ejpam-597	230	5	,	,	PUNCT
ejpam-597	230	6	3.1	3.1	NUM
ejpam-597	230	7	,	,	PUNCT
ejpam-597	230	8	4.1	4.1	NUM
ejpam-597	230	9	and	and	CCONJ
ejpam-597	230	10	5.1	5.1	NUM
ejpam-597	230	11	,	,	PUNCT
ejpam-597	230	12	respectively	respectively	ADV
ejpam-597	230	13	]	]	PUNCT
ejpam-597	230	14	.	.	PUNCT
ejpam-597	231	1	specializing	specialize	VERB
ejpam-597	231	2	the	the	DET
ejpam-597	231	3	parameters	parameter	NOUN
ejpam-597	231	4	α	α	X
ejpam-597	231	5	j	j	PROPN
ejpam-597	231	6	(	(	PUNCT
ejpam-597	231	7	j	j	PROPN
ejpam-597	231	8	=	=	SYM
ejpam-597	231	9	1,2	1,2	NUM
ejpam-597	231	10	,	,	PUNCT
ejpam-597	231	11	...	...	PUNCT
ejpam-597	231	12	,	,	PUNCT
ejpam-597	231	13	s	s	PART
ejpam-597	231	14	+	+	ADJ
ejpam-597	231	15	1	1	NUM
ejpam-597	231	16	)	)	PUNCT
ejpam-597	231	17	,	,	PUNCT
ejpam-597	231	18	β	β	PROPN
ejpam-597	231	19	j	j	PROPN
ejpam-597	231	20	(	(	PUNCT
ejpam-597	231	21	j	j	PROPN
ejpam-597	231	22	=	=	SYM
ejpam-597	231	23	1,2	1,2	NUM
ejpam-597	231	24	,	,	PUNCT
ejpam-597	231	25	...	...	PUNCT
ejpam-597	231	26	,	,	PUNCT
ejpam-597	231	27	s	s	X
ejpam-597	231	28	)	)	PUNCT
ejpam-597	231	29	,	,	PUNCT
ejpam-597	231	30	λ	λ	X
ejpam-597	231	31	,	,	PUNCT
ejpam-597	231	32	l	l	PROPN
ejpam-597	231	33	and	and	CCONJ
ejpam-597	231	34	m	m	PROPN
ejpam-597	231	35	,	,	PUNCT
ejpam-597	231	36	in	in	ADP
ejpam-597	231	37	corollaries	corollary	NOUN
ejpam-597	231	38	8	8	NUM
ejpam-597	231	39	and	and	CCONJ
ejpam-597	231	40	9	9	NUM
ejpam-597	231	41	,	,	PUNCT
ejpam-597	231	42	we	we	PRON
ejpam-597	231	43	obtain	obtain	VERB
ejpam-597	231	44	the	the	DET
ejpam-597	231	45	sandwich	sandwich	NOUN
ejpam-597	231	46	results	result	NOUN
ejpam-597	231	47	for	for	ADP
ejpam-597	231	48	the	the	DET
ejpam-597	231	49	corresponding	correspond	VERB
ejpam-597	231	50	operators	operator	NOUN
ejpam-597	231	51	.	.	PUNCT
ejpam-597	232	1	references	reference	NOUN
ejpam-597	232	2	651	651	NUM
ejpam-597	232	3	references	reference	NOUN
ejpam-597	232	4	[	[	X
ejpam-597	232	5	1	1	NUM
ejpam-597	232	6	]	]	PUNCT
ejpam-597	232	7	r.	r.	PROPN
ejpam-597	232	8	m.	m.	PROPN
ejpam-597	232	9	ali	ali	PROPN
ejpam-597	232	10	,	,	PUNCT
ejpam-597	232	11	v.	v.	ADP
ejpam-597	232	12	ravichandran	ravichandran	NOUN
ejpam-597	232	13	and	and	CCONJ
ejpam-597	232	14	k.	k.	PROPN
ejpam-597	232	15	g.	g.	PROPN
ejpam-597	232	16	subramanian	subramanian	PROPN
ejpam-597	232	17	,	,	PUNCT
ejpam-597	232	18	differential	differential	ADJ
ejpam-597	232	19	sandwich	sandwich	NOUN
ejpam-597	232	20	theorems	theorem	NOUN
ejpam-597	232	21	for	for	ADP
ejpam-597	232	22	certain	certain	ADJ
ejpam-597	232	23	analytic	analytic	ADJ
ejpam-597	232	24	functions	function	NOUN
ejpam-597	232	25	,	,	PUNCT
ejpam-597	232	26	far	far	PROPN
ejpam-597	232	27	east	east	PROPN
ejpam-597	232	28	j.	j.	PROPN
ejpam-597	232	29	math	math	PROPN
ejpam-597	232	30	.	.	PUNCT
ejpam-597	233	1	sci	sci	PROPN
ejpam-597	233	2	.	.	PROPN
ejpam-597	234	1	15	15	NUM
ejpam-597	234	2	,	,	PUNCT
ejpam-597	234	3	no	no	INTJ
ejpam-597	234	4	.	.	NOUN
ejpam-597	234	5	1	1	NUM
ejpam-597	234	6	,	,	PUNCT
ejpam-597	234	7	87	87	NUM
ejpam-597	234	8	-	-	SYM
ejpam-597	234	9	94	94	NUM
ejpam-597	234	10	.	.	PUNCT
ejpam-597	235	1	2004	2004	NUM
ejpam-597	235	2	.	.	PUNCT
ejpam-597	236	1	[	[	X
ejpam-597	236	2	2	2	NUM
ejpam-597	236	3	]	]	PUNCT
ejpam-597	236	4	f.	f.	PROPN
ejpam-597	236	5	m.	m.	PROPN
ejpam-597	236	6	al	al	PROPN
ejpam-597	236	7	-	-	PUNCT
ejpam-597	236	8	oboudi	oboudi	NOUN
ejpam-597	236	9	,	,	PUNCT
ejpam-597	236	10	on	on	ADP
ejpam-597	236	11	univalent	univalent	ADJ
ejpam-597	236	12	functions	function	NOUN
ejpam-597	236	13	defined	define	VERB
ejpam-597	236	14	by	by	ADP
ejpam-597	236	15	a	a	DET
ejpam-597	236	16	generalized	generalized	ADJ
ejpam-597	236	17	sălăgean	sălăgean	ADJ
ejpam-597	236	18	operator	operator	NOUN
ejpam-597	236	19	,	,	PUNCT
ejpam-597	236	20	internat	internat	PROPN
ejpam-597	236	21	.	.	PUNCT
ejpam-597	237	1	j.	j.	PROPN
ejpam-597	237	2	math	math	PROPN
ejpam-597	237	3	.	.	PUNCT
ejpam-597	238	1	math	math	NOUN
ejpam-597	238	2	.	.	PUNCT
ejpam-597	239	1	sci	sci	PROPN
ejpam-597	239	2	.	.	PROPN
ejpam-597	239	3	,	,	PUNCT
ejpam-597	239	4	27	27	NUM
ejpam-597	239	5	,	,	PUNCT
ejpam-597	239	6	1429	1429	NUM
ejpam-597	239	7	-	-	SYM
ejpam-597	239	8	1436	1436	NUM
ejpam-597	239	9	.	.	PUNCT
ejpam-597	240	1	2004	2004	NUM
ejpam-597	240	2	.	.	PUNCT
ejpam-597	241	1	[	[	X
ejpam-597	241	2	3	3	X
ejpam-597	241	3	]	]	PUNCT
ejpam-597	241	4	m.	m.	PROPN
ejpam-597	241	5	k.	k.	PROPN
ejpam-597	241	6	aouf	aouf	PROPN
ejpam-597	241	7	,	,	PUNCT
ejpam-597	241	8	f.	f.	PROPN
ejpam-597	241	9	m.	m.	PROPN
ejpam-597	241	10	al	al	PROPN
ejpam-597	241	11	-	-	PUNCT
ejpam-597	241	12	oboudi	oboudi	ADJ
ejpam-597	241	13	and	and	CCONJ
ejpam-597	241	14	m.	m.	NOUN
ejpam-597	241	15	m.	m.	PROPN
ejpam-597	241	16	haidan	haidan	PROPN
ejpam-597	241	17	,	,	PUNCT
ejpam-597	241	18	on	on	ADP
ejpam-597	241	19	some	some	DET
ejpam-597	241	20	results	result	NOUN
ejpam-597	241	21	for	for	ADP
ejpam-597	241	22	λ−spirallike	λ−spirallike	X
ejpam-597	241	23	and	and	CCONJ
ejpam-597	241	24	λ−robertson	λ−robertson	NUM
ejpam-597	241	25	functions	function	NOUN
ejpam-597	241	26	of	of	ADP
ejpam-597	241	27	complex	complex	ADJ
ejpam-597	241	28	order	order	NOUN
ejpam-597	241	29	,	,	PUNCT
ejpam-597	241	30	publ	publ	PROPN
ejpam-597	241	31	.	.	PUNCT
ejpam-597	242	1	institute	institute	PROPN
ejpam-597	242	2	math	math	PROPN
ejpam-597	242	3	.	.	PUNCT
ejpam-597	243	1	belgrade	belgrade	PROPN
ejpam-597	243	2	,	,	PUNCT
ejpam-597	243	3	77	77	NUM
ejpam-597	243	4	,	,	PUNCT
ejpam-597	243	5	no	no	INTJ
ejpam-597	243	6	.	.	NOUN
ejpam-597	243	7	91	91	NUM
ejpam-597	243	8	,	,	PUNCT
ejpam-597	243	9	93	93	NUM
ejpam-597	243	10	-	-	SYM
ejpam-597	243	11	98	98	NUM
ejpam-597	243	12	.	.	PUNCT
ejpam-597	243	13	2005	2005	NUM
ejpam-597	243	14	.	.	PUNCT
ejpam-597	244	1	[	[	X
ejpam-597	244	2	4	4	X
ejpam-597	244	3	]	]	X
ejpam-597	244	4	t.	t.	NOUN
ejpam-597	244	5	bulboacă	bulboacă	NOUN
ejpam-597	244	6	,	,	PUNCT
ejpam-597	244	7	a	a	DET
ejpam-597	244	8	class	class	NOUN
ejpam-597	244	9	of	of	ADP
ejpam-597	244	10	superordination	superordination	NOUN
ejpam-597	244	11	-	-	PUNCT
ejpam-597	244	12	preserving	preserve	VERB
ejpam-597	244	13	integral	integral	ADJ
ejpam-597	244	14	operators	operator	NOUN
ejpam-597	244	15	,	,	PUNCT
ejpam-597	244	16	indag	indag	PROPN
ejpam-597	244	17	.	.	PUNCT
ejpam-597	244	18	math	math	NOUN
ejpam-597	244	19	.	.	PUNCT
ejpam-597	245	1	(	(	PUNCT
ejpam-597	245	2	n.	n.	PROPN
ejpam-597	245	3	s.	s.	PROPN
ejpam-597	245	4	)	)	PUNCT
ejpam-597	245	5	.	.	PUNCT
ejpam-597	246	1	13	13	NUM
ejpam-597	246	2	,	,	PUNCT
ejpam-597	246	3	no	no	INTJ
ejpam-597	246	4	.	.	NOUN
ejpam-597	246	5	3	3	NUM
ejpam-597	246	6	,	,	PUNCT
ejpam-597	246	7	301	301	NUM
ejpam-597	246	8	-	-	SYM
ejpam-597	246	9	311	311	NUM
ejpam-597	246	10	.	.	PUNCT
ejpam-597	246	11	2002	2002	NUM
ejpam-597	246	12	.	.	PUNCT
ejpam-597	247	1	[	[	X
ejpam-597	247	2	5	5	X
ejpam-597	247	3	]	]	PUNCT
ejpam-597	247	4	t.	t.	NOUN
ejpam-597	247	5	bulboacă	bulboacă	NOUN
ejpam-597	247	6	,	,	PUNCT
ejpam-597	247	7	classes	class	NOUN
ejpam-597	247	8	of	of	ADP
ejpam-597	247	9	first	first	ADJ
ejpam-597	247	10	order	order	NOUN
ejpam-597	247	11	differential	differential	ADJ
ejpam-597	247	12	superordinations	superordination	NOUN
ejpam-597	247	13	,	,	PUNCT
ejpam-597	247	14	demonstratio	demonstratio	PROPN
ejpam-597	247	15	math	math	PROPN
ejpam-597	247	16	.	.	PUNCT
ejpam-597	248	1	35	35	NUM
ejpam-597	248	2	,	,	PUNCT
ejpam-597	248	3	no	no	INTJ
ejpam-597	248	4	.	.	NOUN
ejpam-597	248	5	2	2	NUM
ejpam-597	248	6	,	,	PUNCT
ejpam-597	248	7	287	287	NUM
ejpam-597	248	8	-	-	SYM
ejpam-597	248	9	292	292	NUM
ejpam-597	248	10	.	.	PUNCT
ejpam-597	249	1	2002	2002	NUM
ejpam-597	249	2	.	.	PUNCT
ejpam-597	250	1	[	[	X
ejpam-597	250	2	6	6	NUM
ejpam-597	250	3	]	]	PUNCT
ejpam-597	250	4	b.	b.	PROPN
ejpam-597	250	5	c.	c.	PROPN
ejpam-597	250	6	carlson	carlson	PROPN
ejpam-597	250	7	and	and	CCONJ
ejpam-597	250	8	d.	d.	PROPN
ejpam-597	250	9	b.	b.	PROPN
ejpam-597	250	10	shaffer	shaffer	PROPN
ejpam-597	250	11	,	,	PUNCT
ejpam-597	250	12	starlike	starlike	NOUN
ejpam-597	250	13	and	and	CCONJ
ejpam-597	250	14	prestarlike	prestarlike	ADJ
ejpam-597	250	15	hypergeometric	hypergeometric	ADJ
ejpam-597	250	16	functions	function	NOUN
ejpam-597	250	17	,	,	PUNCT
ejpam-597	250	18	siam	siam	PROPN
ejpam-597	250	19	j.	j.	PROPN
ejpam-597	250	20	math	math	PROPN
ejpam-597	250	21	.	.	PUNCT
ejpam-597	251	1	anal	anal	PROPN
ejpam-597	251	2	.	.	PROPN
ejpam-597	251	3	,	,	PUNCT
ejpam-597	251	4	15	15	NUM
ejpam-597	251	5	,	,	PUNCT
ejpam-597	251	6	737	737	NUM
ejpam-597	251	7	-	-	SYM
ejpam-597	251	8	745	745	NUM
ejpam-597	251	9	.	.	NOUN
ejpam-597	251	10	1984	1984	NUM
ejpam-597	251	11	.	.	PUNCT
ejpam-597	252	1	[	[	X
ejpam-597	252	2	7	7	NUM
ejpam-597	252	3	]	]	PUNCT
ejpam-597	252	4	a.	a.	NOUN
ejpam-597	252	5	cătaş	cătaş	PROPN
ejpam-597	252	6	,	,	PUNCT
ejpam-597	252	7	g.	g.	PROPN
ejpam-597	252	8	i.	i.	PROPN
ejpam-597	252	9	oros	oros	PROPN
ejpam-597	252	10	and	and	CCONJ
ejpam-597	252	11	g.	g.	PROPN
ejpam-597	252	12	oros	oros	PROPN
ejpam-597	252	13	,	,	PUNCT
ejpam-597	252	14	differential	differential	ADJ
ejpam-597	252	15	subordinations	subordination	NOUN
ejpam-597	252	16	associated	associate	VERB
ejpam-597	252	17	with	with	ADP
ejpam-597	252	18	multiplier	multipli	ADJ
ejpam-597	252	19	transformations	transformation	NOUN
ejpam-597	252	20	,	,	PUNCT
ejpam-597	252	21	abstract	abstract	ADJ
ejpam-597	252	22	appl	appl	NOUN
ejpam-597	252	23	.	.	PUNCT
ejpam-597	253	1	anal	anal	PROPN
ejpam-597	253	2	.	.	PROPN
ejpam-597	253	3	,	,	PUNCT
ejpam-597	253	4	2008	2008	NUM
ejpam-597	253	5	,	,	PUNCT
ejpam-597	253	6	i	i	PROPN
ejpam-597	253	7	d	d	PROPN
ejpam-597	253	8	845724	845724	NUM
ejpam-597	253	9	,	,	PUNCT
ejpam-597	253	10	1	1	NUM
ejpam-597	253	11	-	-	SYM
ejpam-597	253	12	11	11	NUM
ejpam-597	253	13	.	.	PUNCT
ejpam-597	253	14	2008	2008	NUM
ejpam-597	253	15	.	.	PUNCT
ejpam-597	254	1	[	[	X
ejpam-597	254	2	8	8	NUM
ejpam-597	254	3	]	]	X
ejpam-597	254	4	n.	n.	PROPN
ejpam-597	254	5	e.	e.	PROPN
ejpam-597	254	6	cho	cho	PROPN
ejpam-597	254	7	and	and	CCONJ
ejpam-597	254	8	t.	t.	PROPN
ejpam-597	254	9	g.	g.	PROPN
ejpam-597	254	10	kim	kim	PROPN
ejpam-597	254	11	,	,	PUNCT
ejpam-597	254	12	multiplier	multipli	ADJ
ejpam-597	254	13	transformations	transformation	NOUN
ejpam-597	254	14	and	and	CCONJ
ejpam-597	254	15	strongly	strongly	ADV
ejpam-597	254	16	close	close	ADV
ejpam-597	254	17	-	-	PUNCT
ejpam-597	254	18	to	to	ADP
ejpam-597	254	19	-	-	PUNCT
ejpam-597	254	20	convex	convex	NOUN
ejpam-597	254	21	functions	function	NOUN
ejpam-597	254	22	,	,	PUNCT
ejpam-597	254	23	bull	bull	NOUN
ejpam-597	254	24	.	.	PUNCT
ejpam-597	255	1	korean	korean	ADJ
ejpam-597	255	2	math	math	PROPN
ejpam-597	255	3	.	.	PUNCT
ejpam-597	256	1	soc	soc	PROPN
ejpam-597	256	2	.	.	PUNCT
ejpam-597	256	3	,	,	PUNCT
ejpam-597	256	4	40	40	NUM
ejpam-597	256	5	,	,	PUNCT
ejpam-597	256	6	no	no	INTJ
ejpam-597	256	7	.	.	NOUN
ejpam-597	256	8	3	3	NUM
ejpam-597	256	9	,	,	PUNCT
ejpam-597	256	10	399	399	NUM
ejpam-597	256	11	-	-	SYM
ejpam-597	256	12	410	410	NUM
ejpam-597	256	13	.	.	PUNCT
ejpam-597	256	14	2003	2003	NUM
ejpam-597	256	15	.	.	PUNCT
ejpam-597	257	1	[	[	X
ejpam-597	257	2	9	9	X
ejpam-597	257	3	]	]	PUNCT
ejpam-597	257	4	j.	j.	PROPN
ejpam-597	257	5	dziok	dziok	PROPN
ejpam-597	257	6	and	and	CCONJ
ejpam-597	257	7	h.	h.	PROPN
ejpam-597	257	8	m.	m.	PROPN
ejpam-597	257	9	srivastava	srivastava	PROPN
ejpam-597	257	10	,	,	PUNCT
ejpam-597	257	11	classes	class	NOUN
ejpam-597	257	12	of	of	ADP
ejpam-597	257	13	analytic	analytic	ADJ
ejpam-597	257	14	functions	function	NOUN
ejpam-597	257	15	associated	associate	VERB
ejpam-597	257	16	with	with	ADP
ejpam-597	257	17	the	the	DET
ejpam-597	257	18	generalized	generalize	VERB
ejpam-597	257	19	hypergeometric	hypergeometric	ADJ
ejpam-597	257	20	function	function	NOUN
ejpam-597	257	21	,	,	PUNCT
ejpam-597	257	22	appl	appl	PROPN
ejpam-597	257	23	.	.	PROPN
ejpam-597	257	24	math	math	PROPN
ejpam-597	257	25	.	.	PUNCT
ejpam-597	258	1	comput	comput	NOUN
ejpam-597	258	2	.	.	PUNCT
ejpam-597	259	1	103	103	NUM
ejpam-597	259	2	,	,	PUNCT
ejpam-597	259	3	1	1	NUM
ejpam-597	259	4	-	-	SYM
ejpam-597	259	5	13	13	NUM
ejpam-597	259	6	.	.	PUNCT
ejpam-597	259	7	1999	1999	NUM
ejpam-597	259	8	.	.	PUNCT
ejpam-597	260	1	[	[	X
ejpam-597	260	2	10	10	NUM
ejpam-597	260	3	]	]	X
ejpam-597	260	4	j.	j.	PROPN
ejpam-597	260	5	dziok	dziok	PROPN
ejpam-597	260	6	and	and	CCONJ
ejpam-597	260	7	h.	h.	PROPN
ejpam-597	260	8	m.	m.	PROPN
ejpam-597	260	9	srivastava	srivastava	PROPN
ejpam-597	260	10	,	,	PUNCT
ejpam-597	260	11	some	some	DET
ejpam-597	260	12	subclasses	subclass	NOUN
ejpam-597	260	13	of	of	ADP
ejpam-597	260	14	analytic	analytic	ADJ
ejpam-597	260	15	functions	function	NOUN
ejpam-597	260	16	with	with	ADP
ejpam-597	260	17	fixed	fix	VERB
ejpam-597	260	18	argument	argument	NOUN
ejpam-597	260	19	of	of	ADP
ejpam-597	260	20	coefficients	coefficient	NOUN
ejpam-597	260	21	associated	associate	VERB
ejpam-597	260	22	with	with	ADP
ejpam-597	260	23	the	the	DET
ejpam-597	260	24	generalized	generalize	VERB
ejpam-597	260	25	hypergeometric	hypergeometric	ADJ
ejpam-597	260	26	function	function	NOUN
ejpam-597	260	27	,	,	PUNCT
ejpam-597	260	28	adv	adv	PROPN
ejpam-597	260	29	.	.	PUNCT
ejpam-597	260	30	stud	stud	PROPN
ejpam-597	260	31	.	.	PUNCT
ejpam-597	261	1	contemp	contemp	NOUN
ejpam-597	261	2	.	.	PUNCT
ejpam-597	262	1	math	math	NOUN
ejpam-597	262	2	.	.	PUNCT
ejpam-597	262	3	,	,	PUNCT
ejpam-597	262	4	5	5	NUM
ejpam-597	262	5	,	,	PUNCT
ejpam-597	262	6	115	115	NUM
ejpam-597	262	7	-	-	SYM
ejpam-597	262	8	125	125	NUM
ejpam-597	262	9	.	.	PUNCT
ejpam-597	262	10	2002	2002	NUM
ejpam-597	262	11	.	.	PUNCT
ejpam-597	263	1	[	[	X
ejpam-597	263	2	11	11	NUM
ejpam-597	263	3	]	]	PUNCT
ejpam-597	263	4	j.	j.	PROPN
ejpam-597	263	5	dziok	dziok	PROPN
ejpam-597	263	6	and	and	CCONJ
ejpam-597	263	7	h.	h.	PROPN
ejpam-597	263	8	m.	m.	PROPN
ejpam-597	263	9	srivastava	srivastava	PROPN
ejpam-597	263	10	,	,	PUNCT
ejpam-597	263	11	certain	certain	ADJ
ejpam-597	263	12	subclasses	subclass	NOUN
ejpam-597	263	13	of	of	ADP
ejpam-597	263	14	analytic	analytic	ADJ
ejpam-597	263	15	functions	function	NOUN
ejpam-597	263	16	associated	associate	VERB
ejpam-597	263	17	with	with	ADP
ejpam-597	263	18	the	the	DET
ejpam-597	263	19	generalized	generalize	VERB
ejpam-597	263	20	hypergeometric	hypergeometric	ADJ
ejpam-597	263	21	function	function	NOUN
ejpam-597	263	22	,	,	PUNCT
ejpam-597	263	23	integral	integral	ADJ
ejpam-597	263	24	transform	transform	NOUN
ejpam-597	263	25	.	.	PUNCT
ejpam-597	264	1	spec	spec	PROPN
ejpam-597	264	2	.	.	PUNCT
ejpam-597	265	1	funct	funct	PROPN
ejpam-597	265	2	.	.	PUNCT
ejpam-597	266	1	,	,	PUNCT
ejpam-597	266	2	14	14	NUM
ejpam-597	266	3	,	,	PUNCT
ejpam-597	266	4	7	7	NUM
ejpam-597	266	5	-	-	SYM
ejpam-597	266	6	18	18	NUM
ejpam-597	266	7	.	.	PUNCT
ejpam-597	267	1	2003	2003	NUM
ejpam-597	267	2	.	.	PUNCT
ejpam-597	268	1	[	[	X
ejpam-597	268	2	12	12	NUM
ejpam-597	268	3	]	]	X
ejpam-597	268	4	yu	yu	PROPN
ejpam-597	268	5	.	.	PUNCT
ejpam-597	268	6	e.	e.	PROPN
ejpam-597	268	7	hohlov	hohlov	PROPN
ejpam-597	268	8	,	,	PUNCT
ejpam-597	268	9	operators	operator	NOUN
ejpam-597	268	10	and	and	CCONJ
ejpam-597	268	11	operations	operation	NOUN
ejpam-597	268	12	in	in	ADP
ejpam-597	268	13	the	the	DET
ejpam-597	268	14	univalent	univalent	ADJ
ejpam-597	268	15	functions	function	NOUN
ejpam-597	268	16	,	,	PUNCT
ejpam-597	268	17	izv	izv	PROPN
ejpam-597	268	18	.	.	PUNCT
ejpam-597	269	1	vysŝh	vysŝh	PROPN
ejpam-597	269	2	.	.	PUNCT
ejpam-597	269	3	učebn	učebn	PROPN
ejpam-597	269	4	.	.	PUNCT
ejpam-597	270	1	zaved	zave	VERB
ejpam-597	270	2	.	.	PUNCT
ejpam-597	271	1	mat	mat	PROPN
ejpam-597	271	2	.	.	PROPN
ejpam-597	271	3	,	,	PUNCT
ejpam-597	271	4	10	10	NUM
ejpam-597	271	5	,	,	PUNCT
ejpam-597	271	6	83	83	NUM
ejpam-597	271	7	-	-	SYM
ejpam-597	271	8	89	89	NUM
ejpam-597	271	9	(	(	PUNCT
ejpam-597	271	10	in	in	ADP
ejpam-597	271	11	russian	russian	NOUN
ejpam-597	271	12	)	)	PUNCT
ejpam-597	271	13	.	.	PUNCT
ejpam-597	272	1	1978	1978	NUM
ejpam-597	272	2	.	.	PUNCT
ejpam-597	273	1	[	[	X
ejpam-597	273	2	13	13	NUM
ejpam-597	273	3	]	]	PUNCT
ejpam-597	273	4	r.	r.	PROPN
ejpam-597	273	5	j.	j.	PROPN
ejpam-597	273	6	libera	libera	PROPN
ejpam-597	273	7	,	,	PUNCT
ejpam-597	273	8	some	some	DET
ejpam-597	273	9	classes	class	NOUN
ejpam-597	273	10	of	of	ADP
ejpam-597	273	11	regular	regular	ADJ
ejpam-597	273	12	univalent	univalent	ADJ
ejpam-597	273	13	functions	function	NOUN
ejpam-597	273	14	,	,	PUNCT
ejpam-597	273	15	proc	proc	NOUN
ejpam-597	273	16	.	.	PUNCT
ejpam-597	274	1	amer	amer	PROPN
ejpam-597	274	2	.	.	PUNCT
ejpam-597	274	3	math	math	PROPN
ejpam-597	274	4	.	.	PUNCT
ejpam-597	275	1	soc	soc	PROPN
ejpam-597	275	2	.	.	PUNCT
ejpam-597	275	3	,	,	PUNCT
ejpam-597	275	4	16	16	NUM
ejpam-597	275	5	,	,	PUNCT
ejpam-597	275	6	755	755	NUM
ejpam-597	275	7	-	-	SYM
ejpam-597	275	8	658	658	NUM
ejpam-597	275	9	.	.	PUNCT
ejpam-597	276	1	1965	1965	NUM
ejpam-597	276	2	.	.	PUNCT
ejpam-597	277	1	[	[	X
ejpam-597	277	2	14	14	NUM
ejpam-597	277	3	]	]	PUNCT
ejpam-597	277	4	s.	s.	PROPN
ejpam-597	277	5	s.	s.	PROPN
ejpam-597	277	6	miller	miller	PROPN
ejpam-597	277	7	and	and	CCONJ
ejpam-597	277	8	p.	p.	PROPN
ejpam-597	277	9	t.	t.	PROPN
ejpam-597	277	10	mocanu	mocanu	PROPN
ejpam-597	277	11	,	,	PUNCT
ejpam-597	277	12	differential	differential	ADJ
ejpam-597	277	13	subordinations	subordination	NOUN
ejpam-597	277	14	and	and	CCONJ
ejpam-597	277	15	univalent	univalent	ADJ
ejpam-597	277	16	functions	function	NOUN
ejpam-597	277	17	,	,	PUNCT
ejpam-597	277	18	michigan	michigan	PROPN
ejpam-597	277	19	math	math	PROPN
ejpam-597	277	20	.	.	PUNCT
ejpam-597	278	1	j.	j.	PROPN
ejpam-597	278	2	,	,	PUNCT
ejpam-597	278	3	28	28	NUM
ejpam-597	278	4	,	,	PUNCT
ejpam-597	278	5	no	no	INTJ
ejpam-597	278	6	.	.	NOUN
ejpam-597	278	7	2	2	NUM
ejpam-597	278	8	,	,	PUNCT
ejpam-597	278	9	157	157	NUM
ejpam-597	278	10	-	-	SYM
ejpam-597	278	11	171	171	NUM
ejpam-597	278	12	.	.	PUNCT
ejpam-597	278	13	1981	1981	NUM
ejpam-597	278	14	.	.	PUNCT
ejpam-597	279	1	[	[	X
ejpam-597	279	2	15	15	NUM
ejpam-597	279	3	]	]	X
ejpam-597	279	4	s.	s.	PROPN
ejpam-597	279	5	s.	s.	PROPN
ejpam-597	279	6	miller	miller	PROPN
ejpam-597	279	7	and	and	CCONJ
ejpam-597	279	8	p.	p.	PROPN
ejpam-597	279	9	t.	t.	PROPN
ejpam-597	279	10	mocanu	mocanu	PROPN
ejpam-597	279	11	,	,	PUNCT
ejpam-597	279	12	subordinates	subordinate	NOUN
ejpam-597	279	13	of	of	ADP
ejpam-597	279	14	differential	differential	ADJ
ejpam-597	279	15	superordinations	superordination	NOUN
ejpam-597	279	16	,	,	PUNCT
ejpam-597	279	17	complex	complex	ADJ
ejpam-597	279	18	variables	variable	NOUN
ejpam-597	279	19	,	,	PUNCT
ejpam-597	279	20	48	48	NUM
ejpam-597	279	21	,	,	PUNCT
ejpam-597	279	22	no	no	INTJ
ejpam-597	279	23	.	.	NOUN
ejpam-597	279	24	10	10	NUM
ejpam-597	279	25	,	,	PUNCT
ejpam-597	279	26	815	815	NUM
ejpam-597	279	27	-	-	SYM
ejpam-597	279	28	826	826	NUM
ejpam-597	279	29	.	.	PUNCT
ejpam-597	279	30	2003	2003	NUM
ejpam-597	279	31	.	.	PUNCT
ejpam-597	280	1	references	reference	NOUN
ejpam-597	280	2	652	652	NUM
ejpam-597	280	3	[	[	X
ejpam-597	280	4	16	16	NUM
ejpam-597	280	5	]	]	PUNCT
ejpam-597	280	6	a.	a.	PROPN
ejpam-597	280	7	o.	o.	PROPN
ejpam-597	280	8	mostafa	mostafa	PROPN
ejpam-597	280	9	,	,	PUNCT
ejpam-597	280	10	t.	t.	PROPN
ejpam-597	280	11	bulboaca	bulboaca	NOUN
ejpam-597	280	12	and	and	CCONJ
ejpam-597	280	13	m.	m.	PROPN
ejpam-597	280	14	k.	k.	PROPN
ejpam-597	280	15	aouf	aouf	PROPN
ejpam-597	280	16	,	,	PUNCT
ejpam-597	280	17	sandawich	sandawich	PROPN
ejpam-597	280	18	theorems	theorem	VERB
ejpam-597	280	19	for	for	ADP
ejpam-597	280	20	some	some	DET
ejpam-597	280	21	analytic	analytic	ADJ
ejpam-597	280	22	functions	function	NOUN
ejpam-597	280	23	defined	define	VERB
ejpam-597	280	24	by	by	ADP
ejpam-597	280	25	convolution	convolution	NOUN
ejpam-597	280	26	,	,	PUNCT
ejpam-597	280	27	europ	europ	PROPN
ejpam-597	280	28	.	.	PUNCT
ejpam-597	281	1	j.	j.	PROPN
ejpam-597	281	2	pure	pure	PROPN
ejpam-597	281	3	appl	appl	PROPN
ejpam-597	281	4	.	.	PUNCT
ejpam-597	281	5	math	math	PROPN
ejpam-597	281	6	.	.	PUNCT
ejpam-597	281	7	,	,	PUNCT
ejpam-597	281	8	3	3	NUM
ejpam-597	281	9	,	,	PUNCT
ejpam-597	281	10	no.1	no.1	NUM
ejpam-597	281	11	,	,	PUNCT
ejpam-597	281	12	1	1	NUM
ejpam-597	281	13	-	-	SYM
ejpam-597	281	14	12	12	NUM
ejpam-597	281	15	.	.	PUNCT
ejpam-597	282	1	2010	2010	NUM
ejpam-597	282	2	.	.	PUNCT
ejpam-597	283	1	[	[	X
ejpam-597	283	2	17	17	NUM
ejpam-597	283	3	]	]	PUNCT
ejpam-597	283	4	m.	m.	NOUN
ejpam-597	283	5	obradović	obradović	NOUN
ejpam-597	283	6	,	,	PUNCT
ejpam-597	283	7	m.	m.	PROPN
ejpam-597	283	8	k.	k.	PROPN
ejpam-597	283	9	aouf	aouf	PROPN
ejpam-597	283	10	and	and	CCONJ
ejpam-597	283	11	s.	s.	PROPN
ejpam-597	283	12	owa	owa	PROPN
ejpam-597	283	13	,	,	PUNCT
ejpam-597	283	14	on	on	ADP
ejpam-597	283	15	some	some	DET
ejpam-597	283	16	results	result	NOUN
ejpam-597	283	17	for	for	ADP
ejpam-597	283	18	starlike	starlike	NOUN
ejpam-597	283	19	functions	function	NOUN
ejpam-597	283	20	of	of	ADP
ejpam-597	283	21	complex	complex	ADJ
ejpam-597	283	22	order	order	NOUN
ejpam-597	283	23	,	,	PUNCT
ejpam-597	283	24	publ	publ	PROPN
ejpam-597	283	25	.	.	PUNCT
ejpam-597	284	1	institute	institute	PROPN
ejpam-597	284	2	math	math	PROPN
ejpam-597	284	3	.	.	PUNCT
ejpam-597	285	1	belgrade	belgrade	PROPN
ejpam-597	285	2	,	,	PUNCT
ejpam-597	285	3	46	46	NUM
ejpam-597	285	4	(	(	PUNCT
ejpam-597	285	5	60	60	NUM
ejpam-597	285	6	)	)	PUNCT
ejpam-597	285	7	,	,	PUNCT
ejpam-597	285	8	79	79	NUM
ejpam-597	285	9	-	-	SYM
ejpam-597	285	10	85	85	NUM
ejpam-597	285	11	.	.	NUM
ejpam-597	285	12	1989	1989	NUM
ejpam-597	285	13	.	.	PUNCT
ejpam-597	286	1	[	[	X
ejpam-597	286	2	18	18	NUM
ejpam-597	286	3	]	]	X
ejpam-597	286	4	s.	s.	PROPN
ejpam-597	286	5	owa	owa	PROPN
ejpam-597	286	6	and	and	CCONJ
ejpam-597	286	7	h.	h.	PROPN
ejpam-597	286	8	m.	m.	PROPN
ejpam-597	286	9	srivastava	srivastava	PROPN
ejpam-597	286	10	,	,	PUNCT
ejpam-597	286	11	univalent	univalent	ADJ
ejpam-597	286	12	and	and	CCONJ
ejpam-597	286	13	starlike	starlike	ADJ
ejpam-597	286	14	generalized	generalize	VERB
ejpam-597	286	15	hypergeometric	hypergeometric	ADJ
ejpam-597	286	16	functions	function	NOUN
ejpam-597	286	17	,	,	PUNCT
ejpam-597	286	18	canad	canad	PROPN
ejpam-597	286	19	.	.	PUNCT
ejpam-597	287	1	j.	j.	PROPN
ejpam-597	287	2	math	math	PROPN
ejpam-597	287	3	.	.	PROPN
ejpam-597	288	1	39	39	NUM
ejpam-597	288	2	,	,	PUNCT
ejpam-597	288	3	1057	1057	NUM
ejpam-597	288	4	-	-	SYM
ejpam-597	288	5	1077	1077	NUM
ejpam-597	288	6	.	.	PUNCT
ejpam-597	289	1	1987	1987	NUM
ejpam-597	289	2	.	.	PUNCT
ejpam-597	290	1	[	[	X
ejpam-597	290	2	19	19	NUM
ejpam-597	290	3	]	]	X
ejpam-597	290	4	w.	w.	PROPN
ejpam-597	290	5	c.	c.	PROPN
ejpam-597	290	6	royster	royster	PROPN
ejpam-597	290	7	,	,	PUNCT
ejpam-597	290	8	on	on	ADP
ejpam-597	290	9	the	the	DET
ejpam-597	290	10	univalence	univalence	NOUN
ejpam-597	290	11	of	of	ADP
ejpam-597	290	12	a	a	DET
ejpam-597	290	13	certain	certain	ADJ
ejpam-597	290	14	integral	integral	ADJ
ejpam-597	290	15	,	,	PUNCT
ejpam-597	290	16	michigan	michigan	PROPN
ejpam-597	290	17	math	math	PROPN
ejpam-597	290	18	.	.	PUNCT
ejpam-597	291	1	j.	j.	PROPN
ejpam-597	291	2	,	,	PUNCT
ejpam-597	291	3	12	12	NUM
ejpam-597	291	4	,	,	PUNCT
ejpam-597	291	5	385	385	NUM
ejpam-597	291	6	-	-	SYM
ejpam-597	291	7	387	387	NUM
ejpam-597	291	8	.	.	NOUN
ejpam-597	291	9	1965	1965	NUM
ejpam-597	291	10	.	.	PUNCT
ejpam-597	292	1	[	[	X
ejpam-597	292	2	20	20	NUM
ejpam-597	292	3	]	]	SYM
ejpam-597	292	4	st	st	PROPN
ejpam-597	292	5	.	.	PROPN
ejpam-597	292	6	ruscheweyh	ruscheweyh	PROPN
ejpam-597	292	7	,	,	PUNCT
ejpam-597	292	8	new	new	ADJ
ejpam-597	292	9	criteria	criterion	NOUN
ejpam-597	292	10	for	for	ADP
ejpam-597	292	11	univalent	univalent	ADJ
ejpam-597	292	12	functions	function	NOUN
ejpam-597	292	13	,	,	PUNCT
ejpam-597	292	14	proc	proc	NOUN
ejpam-597	292	15	.	.	PUNCT
ejpam-597	293	1	amer	amer	PROPN
ejpam-597	293	2	.	.	PUNCT
ejpam-597	293	3	math	math	PROPN
ejpam-597	293	4	.	.	PUNCT
ejpam-597	294	1	sco	sco	PROPN
ejpam-597	294	2	.	.	PROPN
ejpam-597	294	3	,	,	PUNCT
ejpam-597	294	4	49	49	NUM
ejpam-597	294	5	,	,	PUNCT
ejpam-597	294	6	109115	109115	NUM
ejpam-597	294	7	.	.	PUNCT
ejpam-597	295	1	1975	1975	NUM
ejpam-597	295	2	.	.	PUNCT
ejpam-597	296	1	[	[	X
ejpam-597	296	2	21	21	NUM
ejpam-597	296	3	]	]	X
ejpam-597	296	4	h.	h.	PROPN
ejpam-597	296	5	saitoh	saitoh	PROPN
ejpam-597	296	6	,	,	PUNCT
ejpam-597	296	7	a	a	DET
ejpam-597	296	8	linear	linear	ADJ
ejpam-597	296	9	operator	operator	NOUN
ejpam-597	296	10	ana	ana	VERB
ejpam-597	296	11	its	its	PRON
ejpam-597	296	12	applications	application	NOUN
ejpam-597	296	13	of	of	ADP
ejpam-597	296	14	fiest	fiest	NOUN
ejpam-597	296	15	order	order	NOUN
ejpam-597	296	16	differential	differential	ADJ
ejpam-597	296	17	subordinations	subordination	NOUN
ejpam-597	296	18	,	,	PUNCT
ejpam-597	296	19	math	math	NOUN
ejpam-597	296	20	.	.	PUNCT
ejpam-597	297	1	japon	japon	PROPN
ejpam-597	297	2	.	.	PROPN
ejpam-597	298	1	44	44	NUM
ejpam-597	298	2	,	,	PUNCT
ejpam-597	298	3	31	31	NUM
ejpam-597	298	4	-	-	SYM
ejpam-597	298	5	38	38	NUM
ejpam-597	298	6	.	.	PUNCT
ejpam-597	299	1	1996	1996	NUM
ejpam-597	299	2	.	.	PUNCT
ejpam-597	300	1	[	[	X
ejpam-597	300	2	22	22	NUM
ejpam-597	300	3	]	]	X
ejpam-597	300	4	g.	g.	PROPN
ejpam-597	300	5	s.	s.	PROPN
ejpam-597	300	6	sălăgean	sălăgean	PROPN
ejpam-597	300	7	,	,	PUNCT
ejpam-597	300	8	subclasses	subclass	NOUN
ejpam-597	300	9	of	of	ADP
ejpam-597	300	10	univalent	univalent	ADJ
ejpam-597	300	11	functions	function	NOUN
ejpam-597	300	12	,	,	PUNCT
ejpam-597	300	13	lecture	lecture	NOUN
ejpam-597	300	14	notes	note	NOUN
ejpam-597	300	15	in	in	ADP
ejpam-597	300	16	math	math	NOUN
ejpam-597	300	17	.	.	PUNCT
ejpam-597	301	1	(	(	PUNCT
ejpam-597	301	2	springerverlag	springerverlag	NOUN
ejpam-597	301	3	)	)	PUNCT
ejpam-597	301	4	1013	1013	NUM
ejpam-597	301	5	,	,	PUNCT
ejpam-597	301	6	362	362	NUM
ejpam-597	301	7	372	372	NUM
ejpam-597	301	8	.	.	PUNCT
ejpam-597	301	9	1983	1983	NUM
ejpam-597	302	1	[	[	X
ejpam-597	302	2	23	23	NUM
ejpam-597	302	3	]	]	PUNCT
ejpam-597	302	4	t.	t.	PROPN
ejpam-597	302	5	n.	n.	PROPN
ejpam-597	302	6	shanmugam	shanmugam	PROPN
ejpam-597	302	7	,	,	PUNCT
ejpam-597	302	8	v.	v.	ADP
ejpam-597	302	9	ravichandran	ravichandran	NOUN
ejpam-597	302	10	and	and	CCONJ
ejpam-597	302	11	s.	s.	PROPN
ejpam-597	302	12	sivasubramanian	sivasubramanian	PROPN
ejpam-597	302	13	,	,	PUNCT
ejpam-597	302	14	differantial	differantial	ADJ
ejpam-597	302	15	sandwich	sandwich	NOUN
ejpam-597	302	16	theorems	theorem	NOUN
ejpam-597	302	17	for	for	ADP
ejpam-597	302	18	some	some	DET
ejpam-597	302	19	subclasses	subclass	NOUN
ejpam-597	302	20	of	of	ADP
ejpam-597	302	21	analytic	analytic	ADJ
ejpam-597	302	22	functions	function	NOUN
ejpam-597	302	23	,	,	PUNCT
ejpam-597	302	24	j.	j.	PROPN
ejpam-597	302	25	austr	austr	PROPN
ejpam-597	302	26	.	.	PUNCT
ejpam-597	303	1	math	math	PROPN
ejpam-597	303	2	.	.	PUNCT
ejpam-597	304	1	anal	anal	PROPN
ejpam-597	304	2	.	.	PUNCT
ejpam-597	304	3	appl	appl	PROPN
ejpam-597	304	4	.	.	PROPN
ejpam-597	304	5	,	,	PUNCT
ejpam-597	304	6	3	3	X
ejpam-597	304	7	,	,	PUNCT
ejpam-597	304	8	no	no	INTJ
ejpam-597	304	9	.	.	NOUN
ejpam-597	304	10	1	1	NUM
ejpam-597	304	11	,	,	PUNCT
ejpam-597	304	12	art	art	NOUN
ejpam-597	304	13	.	.	PUNCT
ejpam-597	305	1	8	8	NUM
ejpam-597	305	2	,	,	PUNCT
ejpam-597	305	3	1	1	NUM
ejpam-597	305	4	-	-	SYM
ejpam-597	305	5	11	11	NUM
ejpam-597	305	6	.	.	PUNCT
ejpam-597	306	1	2006	2006	NUM
ejpam-597	306	2	.	.	PUNCT
ejpam-597	307	1	[	[	X
ejpam-597	307	2	24	24	NUM
ejpam-597	307	3	]	]	PUNCT
ejpam-597	307	4	t.	t.	PROPN
ejpam-597	307	5	n.	n.	PROPN
ejpam-597	307	6	shanmugam	shanmugam	PROPN
ejpam-597	307	7	,	,	PUNCT
ejpam-597	307	8	s.	s.	PROPN
ejpam-597	307	9	srikandan	srikandan	PROPN
ejpam-597	307	10	,	,	PUNCT
ejpam-597	307	11	b.	b.	PROPN
ejpam-597	307	12	a.	a.	PROPN
ejpam-597	307	13	frasin	frasin	PROPN
ejpam-597	307	14	and	and	CCONJ
ejpam-597	307	15	s.	s.	PROPN
ejpam-597	307	16	kavitha	kavitha	PROPN
ejpam-597	307	17	,	,	PUNCT
ejpam-597	307	18	on	on	ADP
ejpam-597	307	19	sandwich	sandwich	NOUN
ejpam-597	307	20	theorems	theorem	NOUN
ejpam-597	307	21	for	for	ADP
ejpam-597	307	22	certain	certain	ADJ
ejpam-597	307	23	subclasses	subclass	NOUN
ejpam-597	307	24	of	of	ADP
ejpam-597	307	25	analytic	analytic	ADJ
ejpam-597	307	26	functions	function	NOUN
ejpam-597	307	27	involving	involve	VERB
ejpam-597	307	28	carlson	carlson	PROPN
ejpam-597	307	29	-	-	PUNCT
ejpam-597	307	30	shaffer	shaffer	NOUN
ejpam-597	307	31	operator	operator	NOUN
ejpam-597	307	32	,	,	PUNCT
ejpam-597	307	33	j.	j.	PROPN
ejpam-597	307	34	korean	korean	PROPN
ejpam-597	307	35	math	math	PROPN
ejpam-597	307	36	.	.	PUNCT
ejpam-597	308	1	soc	soc	PROPN
ejpam-597	308	2	.	.	PROPN
ejpam-597	308	3	,	,	PUNCT
ejpam-597	308	4	45	45	NUM
ejpam-597	308	5	,	,	PUNCT
ejpam-597	308	6	no	no	INTJ
ejpam-597	308	7	.	.	NOUN
ejpam-597	308	8	3	3	NUM
ejpam-597	308	9	,	,	PUNCT
ejpam-597	308	10	611	611	NUM
ejpam-597	308	11	-	-	SYM
ejpam-597	308	12	620	620	NUM
ejpam-597	308	13	.	.	PUNCT
ejpam-597	308	14	2008	2008	NUM
ejpam-597	308	15	.	.	PUNCT
ejpam-597	309	1	[	[	X
ejpam-597	309	2	25	25	NUM
ejpam-597	309	3	]	]	X
ejpam-597	309	4	h.	h.	PROPN
ejpam-597	309	5	m.	m.	PROPN
ejpam-597	309	6	srivastava	srivastava	PROPN
ejpam-597	309	7	and	and	CCONJ
ejpam-597	309	8	a.	a.	PROPN
ejpam-597	309	9	y.	y.	PROPN
ejpam-597	309	10	lashin	lashin	PROPN
ejpam-597	309	11	,	,	PUNCT
ejpam-597	309	12	some	some	DET
ejpam-597	309	13	applications	application	NOUN
ejpam-597	309	14	of	of	ADP
ejpam-597	309	15	the	the	DET
ejpam-597	309	16	briot	briot	NOUN
ejpam-597	309	17	-	-	PUNCT
ejpam-597	309	18	bouquet	bouquet	NOUN
ejpam-597	309	19	differential	differential	NOUN
ejpam-597	309	20	subordination	subordination	NOUN
ejpam-597	309	21	,	,	PUNCT
ejpam-597	309	22	j.	j.	PROPN
ejpam-597	309	23	inequal	inequal	PROPN
ejpam-597	309	24	.	.	PUNCT
ejpam-597	310	1	pure	pure	ADJ
ejpam-597	310	2	appl.math	appl.math	PROPN
ejpam-597	310	3	.	.	PROPN
ejpam-597	310	4	,	,	PUNCT
ejpam-597	310	5	6	6	NUM
ejpam-597	310	6	(	(	PUNCT
ejpam-597	310	7	2	2	NUM
ejpam-597	310	8	)	)	PUNCT
ejpam-597	310	9	,	,	PUNCT
ejpam-597	310	10	art	art	NOUN
ejpam-597	310	11	.	.	PUNCT
ejpam-597	311	1	41	41	NUM
ejpam-597	311	2	,	,	PUNCT
ejpam-597	311	3	1	1	NUM
ejpam-597	311	4	-	-	SYM
ejpam-597	311	5	7	7	NUM
ejpam-597	311	6	.	.	NUM
ejpam-597	311	7	2005	2005	NUM
ejpam-597	311	8	.	.	PUNCT