id	sid	tid	token	lemma	pos
ejpam-483	1	1	1_483_bulboaca.dvi	1_483_bulboaca.dvi	NUM
ejpam-483	1	2	european	european	ADJ
ejpam-483	1	3	journal	journal	NOUN
ejpam-483	1	4	of	of	ADP
ejpam-483	1	5	pure	pure	ADJ
ejpam-483	1	6	and	and	CCONJ
ejpam-483	1	7	applied	apply	VERB
ejpam-483	1	8	mathematics	mathematic	NOUN
ejpam-483	1	9	vol	vol	NOUN
ejpam-483	1	10	.	.	PUNCT
ejpam-483	2	1	3	3	NUM
ejpam-483	2	2	,	,	PUNCT
ejpam-483	2	3	no	no	INTJ
ejpam-483	2	4	.	.	NOUN
ejpam-483	2	5	1	1	NUM
ejpam-483	2	6	,	,	PUNCT
ejpam-483	2	7	2010	2010	NUM
ejpam-483	2	8	,	,	PUNCT
ejpam-483	2	9	1	1	NUM
ejpam-483	2	10	-	-	SYM
ejpam-483	2	11	12	12	NUM
ejpam-483	2	12	issn	issn	PROPN
ejpam-483	2	13	1307	1307	NUM
ejpam-483	2	14	-	-	SYM
ejpam-483	2	15	5543	5543	NUM
ejpam-483	2	16	–	–	PUNCT
ejpam-483	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-483	3	1	sandwich	sandwich	NOUN
ejpam-483	3	2	theorems	theorem	VERB
ejpam-483	3	3	for	for	ADP
ejpam-483	3	4	some	some	DET
ejpam-483	3	5	analytic	analytic	ADJ
ejpam-483	3	6	functions	function	NOUN
ejpam-483	3	7	defined	define	VERB
ejpam-483	3	8	by	by	ADP
ejpam-483	3	9	convolution	convolution	NOUN
ejpam-483	3	10	a.	a.	PROPN
ejpam-483	3	11	o.	o.	PROPN
ejpam-483	3	12	mostafa1	mostafa1	PROPN
ejpam-483	3	13	,	,	PUNCT
ejpam-483	3	14	t.	t.	PROPN
ejpam-483	3	15	bulboacă2∗	bulboacă2∗	ADJ
ejpam-483	3	16	,	,	PUNCT
ejpam-483	3	17	and	and	CCONJ
ejpam-483	3	18	m.	m.	NOUN
ejpam-483	3	19	k.	k.	PROPN
ejpam-483	4	1	aouf1	aouf1	PROPN
ejpam-483	5	1	1	1	NUM
ejpam-483	5	2	department	department	NOUN
ejpam-483	5	3	of	of	ADP
ejpam-483	5	4	mathematics	mathematic	NOUN
ejpam-483	5	5	,	,	PUNCT
ejpam-483	5	6	faculty	faculty	NOUN
ejpam-483	5	7	of	of	ADP
ejpam-483	5	8	science	science	NOUN
ejpam-483	5	9	,	,	PUNCT
ejpam-483	5	10	mansoura	mansoura	PROPN
ejpam-483	5	11	university	university	NOUN
ejpam-483	5	12	,	,	PUNCT
ejpam-483	5	13	mansoura	mansoura	NOUN
ejpam-483	5	14	35516	35516	NUM
ejpam-483	5	15	,	,	PUNCT
ejpam-483	5	16	egypt	egypt	PROPN
ejpam-483	5	17	2	2	NUM
ejpam-483	5	18	faculty	faculty	NOUN
ejpam-483	5	19	of	of	ADP
ejpam-483	5	20	mathematics	mathematic	NOUN
ejpam-483	5	21	and	and	CCONJ
ejpam-483	5	22	computer	computer	NOUN
ejpam-483	5	23	science	science	NOUN
ejpam-483	5	24	,	,	PUNCT
ejpam-483	5	25	babeş-bolyai	babeş-bolyai	PROPN
ejpam-483	5	26	university	university	PROPN
ejpam-483	5	27	,	,	PUNCT
ejpam-483	5	28	400084	400084	NUM
ejpam-483	5	29	cluj	cluj	NOUN
ejpam-483	5	30	-	-	PUNCT
ejpam-483	5	31	napoca	napoca	NOUN
ejpam-483	5	32	,	,	PUNCT
ejpam-483	5	33	romania	romania	PROPN
ejpam-483	5	34	abstract	abstract	NOUN
ejpam-483	5	35	.	.	PUNCT
ejpam-483	6	1	for	for	ADP
ejpam-483	6	2	certain	certain	ADJ
ejpam-483	6	3	analytic	analytic	ADJ
ejpam-483	6	4	functions	function	NOUN
ejpam-483	6	5	defined	define	VERB
ejpam-483	6	6	by	by	ADP
ejpam-483	6	7	convolution	convolution	NOUN
ejpam-483	6	8	products	product	NOUN
ejpam-483	6	9	,	,	PUNCT
ejpam-483	6	10	we	we	PRON
ejpam-483	6	11	obtain	obtain	VERB
ejpam-483	6	12	several	several	ADJ
ejpam-483	6	13	applications	application	NOUN
ejpam-483	6	14	of	of	ADP
ejpam-483	6	15	first	first	ADJ
ejpam-483	6	16	order	order	NOUN
ejpam-483	6	17	differential	differential	ADJ
ejpam-483	6	18	subordination	subordination	NOUN
ejpam-483	6	19	and	and	CCONJ
ejpam-483	6	20	superordination	superordination	NOUN
ejpam-483	6	21	,	,	PUNCT
ejpam-483	6	22	that	that	PRON
ejpam-483	6	23	generalize	generalize	VERB
ejpam-483	6	24	some	some	DET
ejpam-483	6	25	previous	previous	ADJ
ejpam-483	6	26	results	result	NOUN
ejpam-483	6	27	obtained	obtain	VERB
ejpam-483	6	28	by	by	ADP
ejpam-483	6	29	different	different	ADJ
ejpam-483	6	30	authors	author	NOUN
ejpam-483	6	31	.	.	PUNCT
ejpam-483	7	1	2000	2000	NUM
ejpam-483	7	2	mathematics	mathematic	NOUN
ejpam-483	7	3	subject	subject	NOUN
ejpam-483	7	4	classifications	classification	NOUN
ejpam-483	7	5	:	:	PUNCT
ejpam-483	7	6	30c80	30c80	NUM
ejpam-483	7	7	,	,	PUNCT
ejpam-483	7	8	30c45	30c45	NUM
ejpam-483	7	9	key	key	ADJ
ejpam-483	7	10	words	word	NOUN
ejpam-483	7	11	and	and	CCONJ
ejpam-483	7	12	phrases	phrase	NOUN
ejpam-483	7	13	:	:	PUNCT
ejpam-483	7	14	analytic	analytic	ADJ
ejpam-483	7	15	functions	function	NOUN
ejpam-483	7	16	,	,	PUNCT
ejpam-483	7	17	differential	differential	ADJ
ejpam-483	7	18	subordination	subordination	NOUN
ejpam-483	7	19	,	,	PUNCT
ejpam-483	7	20	differential	differential	ADJ
ejpam-483	7	21	superordination	superordination	NOUN
ejpam-483	7	22	,	,	PUNCT
ejpam-483	7	23	sandwich	sandwich	NOUN
ejpam-483	7	24	theorems	theorem	NOUN
ejpam-483	7	25	,	,	PUNCT
ejpam-483	7	26	convolution	convolution	NOUN
ejpam-483	7	27	product	product	NOUN
ejpam-483	7	28	.	.	PUNCT
ejpam-483	8	1	1	1	X
ejpam-483	8	2	.	.	X
ejpam-483	8	3	introduction	introduction	NOUN
ejpam-483	8	4	leta	leta	PROPN
ejpam-483	8	5	denote	denote	VERB
ejpam-483	8	6	the	the	DET
ejpam-483	8	7	class	class	NOUN
ejpam-483	8	8	of	of	ADP
ejpam-483	8	9	functions	function	NOUN
ejpam-483	8	10	of	of	ADP
ejpam-483	8	11	the	the	DET
ejpam-483	8	12	form	form	NOUN
ejpam-483	8	13	f	f	X
ejpam-483	8	14	(	(	PUNCT
ejpam-483	8	15	z	z	NOUN
ejpam-483	8	16	)	)	PUNCT
ejpam-483	8	17	=	=	SYM
ejpam-483	9	1	z	z	NOUN
ejpam-483	10	1	+	+	NOUN
ejpam-483	10	2	∞∑	∞∑	DET
ejpam-483	10	3	k=2	k=2	PROPN
ejpam-483	10	4	akzk	akzk	NOUN
ejpam-483	10	5	,	,	PUNCT
ejpam-483	10	6	(	(	PUNCT
ejpam-483	10	7	1	1	X
ejpam-483	10	8	)	)	PUNCT
ejpam-483	10	9	which	which	PRON
ejpam-483	10	10	are	be	AUX
ejpam-483	10	11	analytic	analytic	ADJ
ejpam-483	10	12	in	in	ADP
ejpam-483	10	13	the	the	DET
ejpam-483	10	14	unit	unit	NOUN
ejpam-483	10	15	disc	disc	VERB
ejpam-483	10	16	u	u	NOUN
ejpam-483	10	17	=	=	PUNCT
ejpam-483	10	18	{	{	PUNCT
ejpam-483	10	19	z	z	PROPN
ejpam-483	10	20	∈	∈	PROPN
ejpam-483	10	21	c	c	NOUN
ejpam-483	10	22	:	:	PUNCT
ejpam-483	10	23	|z|	|z|	NOUN
ejpam-483	10	24	<	<	X
ejpam-483	10	25	1	1	NUM
ejpam-483	10	26	}	}	PUNCT
ejpam-483	10	27	.	.	PUNCT
ejpam-483	11	1	if	if	SCONJ
ejpam-483	11	2	f	f	PROPN
ejpam-483	11	3	and	and	CCONJ
ejpam-483	11	4	g	g	PROPN
ejpam-483	11	5	are	be	AUX
ejpam-483	11	6	analytic	analytic	ADJ
ejpam-483	11	7	functions	function	NOUN
ejpam-483	11	8	in	in	ADP
ejpam-483	11	9	u	u	NOUN
ejpam-483	11	10	,	,	PUNCT
ejpam-483	11	11	we	we	PRON
ejpam-483	11	12	say	say	VERB
ejpam-483	11	13	that	that	SCONJ
ejpam-483	11	14	f	f	PROPN
ejpam-483	11	15	is	be	AUX
ejpam-483	11	16	subordinate	subordinate	ADJ
ejpam-483	11	17	to	to	ADP
ejpam-483	11	18	g	g	PROPN
ejpam-483	11	19	,	,	PUNCT
ejpam-483	12	1	written	write	VERB
ejpam-483	12	2	f	f	X
ejpam-483	12	3	(	(	PUNCT
ejpam-483	12	4	z)≺	z)≺	PROPN
ejpam-483	12	5	g(z	g(z	PROPN
ejpam-483	12	6	)	)	PUNCT
ejpam-483	12	7	,	,	PUNCT
ejpam-483	12	8	if	if	SCONJ
ejpam-483	12	9	there	there	PRON
ejpam-483	12	10	exists	exist	VERB
ejpam-483	12	11	a	a	DET
ejpam-483	12	12	schwarz	schwarz	PROPN
ejpam-483	12	13	function	function	PROPN
ejpam-483	12	14	w	w	PROPN
ejpam-483	12	15	,	,	PUNCT
ejpam-483	12	16	which	which	PRON
ejpam-483	12	17	(	(	PUNCT
ejpam-483	12	18	by	by	ADP
ejpam-483	12	19	definition	definition	NOUN
ejpam-483	12	20	)	)	PUNCT
ejpam-483	12	21	is	be	AUX
ejpam-483	12	22	analytic	analytic	ADJ
ejpam-483	12	23	in	in	ADP
ejpam-483	12	24	u	u	NOUN
ejpam-483	12	25	,	,	PUNCT
ejpam-483	12	26	with	with	ADP
ejpam-483	12	27	w(0	w(0	PROPN
ejpam-483	12	28	)	)	PUNCT
ejpam-483	12	29	=	=	SYM
ejpam-483	12	30	0	0	NUM
ejpam-483	12	31	,	,	PUNCT
ejpam-483	12	32	and	and	CCONJ
ejpam-483	12	33	|w(z)|	|w(z)|	VERB
ejpam-483	12	34	<	<	X
ejpam-483	12	35	1	1	NUM
ejpam-483	12	36	for	for	ADP
ejpam-483	12	37	all	all	DET
ejpam-483	12	38	z	z	NOUN
ejpam-483	12	39	∈	∈	PROPN
ejpam-483	12	40	u	u	NOUN
ejpam-483	12	41	,	,	PUNCT
ejpam-483	12	42	such	such	ADJ
ejpam-483	12	43	that	that	SCONJ
ejpam-483	12	44	f	f	PROPN
ejpam-483	12	45	(	(	PUNCT
ejpam-483	12	46	z	z	NOUN
ejpam-483	12	47	)	)	PUNCT
ejpam-483	12	48	=	=	PUNCT
ejpam-483	12	49	g(w(z	g(w(z	PROPN
ejpam-483	12	50	)	)	PUNCT
ejpam-483	12	51	)	)	PUNCT
ejpam-483	12	52	,	,	PUNCT
ejpam-483	12	53	z	z	PROPN
ejpam-483	12	54	∈	∈	PROPN
ejpam-483	12	55	u.	u.	VERB
ejpam-483	12	56	furthermore	furthermore	ADV
ejpam-483	12	57	,	,	PUNCT
ejpam-483	12	58	if	if	SCONJ
ejpam-483	12	59	the	the	DET
ejpam-483	12	60	function	function	NOUN
ejpam-483	12	61	g	g	PROPN
ejpam-483	12	62	is	be	AUX
ejpam-483	12	63	univalent	univalent	ADJ
ejpam-483	12	64	in	in	ADP
ejpam-483	12	65	u	u	NOUN
ejpam-483	12	66	,	,	PUNCT
ejpam-483	12	67	then	then	ADV
ejpam-483	12	68	we	we	PRON
ejpam-483	12	69	have	have	VERB
ejpam-483	12	70	the	the	DET
ejpam-483	12	71	equivalence	equivalence	NOUN
ejpam-483	12	72	f	f	PROPN
ejpam-483	12	73	(	(	PUNCT
ejpam-483	12	74	z	z	NOUN
ejpam-483	12	75	)	)	PUNCT
ejpam-483	12	76	≺	≺	NOUN
ejpam-483	13	1	g(z)⇔	g(z)⇔	PROPN
ejpam-483	13	2	f	f	PROPN
ejpam-483	13	3	(	(	PUNCT
ejpam-483	13	4	0	0	NUM
ejpam-483	13	5	)	)	PUNCT
ejpam-483	13	6	=	=	SYM
ejpam-483	13	7	g(0	g(0	PROPN
ejpam-483	13	8	)	)	PUNCT
ejpam-483	13	9	and	and	CCONJ
ejpam-483	13	10	f	f	PROPN
ejpam-483	13	11	(	(	PUNCT
ejpam-483	13	12	u)⊂	u)⊂	CCONJ
ejpam-483	13	13	g(u	g(u	NOUN
ejpam-483	13	14	)	)	PUNCT
ejpam-483	13	15	.	.	PUNCT
ejpam-483	14	1	let	let	VERB
ejpam-483	14	2	h(u	h(u	PROPN
ejpam-483	14	3	)	)	PUNCT
ejpam-483	14	4	denote	denote	VERB
ejpam-483	14	5	the	the	DET
ejpam-483	14	6	class	class	NOUN
ejpam-483	14	7	of	of	ADP
ejpam-483	14	8	analytic	analytic	ADJ
ejpam-483	14	9	functions	function	NOUN
ejpam-483	14	10	in	in	ADP
ejpam-483	14	11	u	u	NOUN
ejpam-483	14	12	,	,	PUNCT
ejpam-483	14	13	and	and	CCONJ
ejpam-483	14	14	let	let	VERB
ejpam-483	14	15	h[a	h[a	NOUN
ejpam-483	14	16	,	,	PUNCT
ejpam-483	14	17	n	n	CCONJ
ejpam-483	14	18	]	]	PUNCT
ejpam-483	14	19	denote	denote	VERB
ejpam-483	14	20	the	the	DET
ejpam-483	14	21	subclass	subclass	NOUN
ejpam-483	14	22	of	of	ADP
ejpam-483	14	23	the	the	DET
ejpam-483	14	24	functions	function	NOUN
ejpam-483	14	25	f	f	PROPN
ejpam-483	14	26	∈	∈	PROPN
ejpam-483	14	27	h(u	h(u	PROPN
ejpam-483	14	28	)	)	PUNCT
ejpam-483	14	29	of	of	ADP
ejpam-483	14	30	the	the	DET
ejpam-483	14	31	form	form	NOUN
ejpam-483	15	1	f	f	X
ejpam-483	15	2	(	(	PUNCT
ejpam-483	15	3	z	z	NOUN
ejpam-483	15	4	)	)	PUNCT
ejpam-483	15	5	=	=	SYM
ejpam-483	15	6	a+	a+	PUNCT
ejpam-483	15	7	anzn	anzn	NOUN
ejpam-483	15	8	+	+	CCONJ
ejpam-483	15	9	an+1zn+1	an+1zn+1	ADJ
ejpam-483	15	10	+	+	PUNCT
ejpam-483	15	11	.	.	PUNCT
ejpam-483	15	12	.	.	PUNCT
ejpam-483	15	13	.	.	PUNCT
ejpam-483	16	1	(	(	PUNCT
ejpam-483	16	2	a	a	DET
ejpam-483	16	3	∈	∈	PROPN
ejpam-483	16	4	c	c	NOUN
ejpam-483	16	5	,	,	PUNCT
ejpam-483	16	6	n	n	PROPN
ejpam-483	16	7	∈	∈	PROPN
ejpam-483	16	8	n	n	CCONJ
ejpam-483	16	9	)	)	PUNCT
ejpam-483	16	10	.	.	PUNCT
ejpam-483	17	1	∗corresponding	∗corresponde	VERB
ejpam-483	17	2	author	author	NOUN
ejpam-483	17	3	.	.	PUNCT
ejpam-483	18	1	email	email	NOUN
ejpam-483	18	2	addresses	address	NOUN
ejpam-483	18	3	:	:	PUNCT
ejpam-483	18	4	adelaeg254	adelaeg254	PROPN
ejpam-483	18	5	�	�	PROPN
ejpam-483	18	6	yahoo	yahoo	PROPN
ejpam-483	18	7	.	.	PUNCT
ejpam-483	18	8	om	om	PROPN
ejpam-483	18	9	(	(	PUNCT
ejpam-483	18	10	a.	a.	PROPN
ejpam-483	18	11	mostafa	mostafa	PROPN
ejpam-483	18	12	)	)	PUNCT
ejpam-483	18	13	,	,	PUNCT
ejpam-483	18	14	bulboa	bulboa	X
ejpam-483	18	15	a�math.ubb	a�math.ubb	PUNCT
ejpam-483	18	16	luj.ro	luj.ro	PROPN
ejpam-483	18	17	,	,	PUNCT
ejpam-483	18	18	(	(	PUNCT
ejpam-483	18	19	t.	t.	PROPN
ejpam-483	18	20	bulboacă),mkaouf127	bulboacă),mkaouf127	PROPN
ejpam-483	18	21	�	�	PROPN
ejpam-483	18	22	yahoo	yahoo	PROPN
ejpam-483	18	23	.	.	PUNCT
ejpam-483	19	1	om	om	PROPN
ejpam-483	19	2	,	,	PUNCT
ejpam-483	19	3	(	(	PUNCT
ejpam-483	19	4	m.	m.	PROPN
ejpam-483	19	5	aouf	aouf	PROPN
ejpam-483	19	6	)	)	PUNCT
ejpam-483	19	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-483	20	1	1	1	NUM
ejpam-483	20	2	c	c	X
ejpam-483	20	3	©	©	PROPN
ejpam-483	20	4	2009	2009	NUM
ejpam-483	20	5	ejpam	ejpam	NOUN
ejpam-483	20	6	all	all	DET
ejpam-483	20	7	rights	right	NOUN
ejpam-483	20	8	reserved	reserve	VERB
ejpam-483	20	9	.	.	PUNCT
ejpam-483	21	1	a.	a.	PROPN
ejpam-483	21	2	mostafa	mostafa	PROPN
ejpam-483	21	3	,	,	PUNCT
ejpam-483	21	4	t.	t.	PROPN
ejpam-483	21	5	bulboacă	bulboacă	NOUN
ejpam-483	21	6	,	,	PUNCT
ejpam-483	21	7	and	and	CCONJ
ejpam-483	21	8	m.	m.	PROPN
ejpam-483	21	9	aouf	aouf	PROPN
ejpam-483	21	10	/	/	SYM
ejpam-483	21	11	eur	eur	PROPN
ejpam-483	21	12	.	.	PUNCT
ejpam-483	22	1	j.	j.	PROPN
ejpam-483	22	2	pure	pure	PROPN
ejpam-483	22	3	appl	appl	PROPN
ejpam-483	22	4	.	.	PROPN
ejpam-483	22	5	math	math	PROPN
ejpam-483	22	6	,	,	PUNCT
ejpam-483	22	7	3	3	NUM
ejpam-483	22	8	(	(	PUNCT
ejpam-483	22	9	2010	2010	NUM
ejpam-483	22	10	)	)	PUNCT
ejpam-483	22	11	,	,	PUNCT
ejpam-483	22	12	1	1	NUM
ejpam-483	22	13	-	-	SYM
ejpam-483	22	14	12	12	NUM
ejpam-483	22	15	2	2	NUM
ejpam-483	22	16	supposing	suppose	VERB
ejpam-483	22	17	that	that	SCONJ
ejpam-483	22	18	h	h	NOUN
ejpam-483	22	19	and	and	CCONJ
ejpam-483	22	20	g	g	PROPN
ejpam-483	22	21	are	be	AUX
ejpam-483	22	22	two	two	NUM
ejpam-483	22	23	analytic	analytic	ADJ
ejpam-483	22	24	functions	function	NOUN
ejpam-483	22	25	in	in	ADP
ejpam-483	22	26	u	u	NOUN
ejpam-483	22	27	,	,	PUNCT
ejpam-483	22	28	let	let	VERB
ejpam-483	22	29	ϕ(r	ϕ(r	PROPN
ejpam-483	22	30	,	,	PUNCT
ejpam-483	22	31	s	s	PROPN
ejpam-483	22	32	,	,	PUNCT
ejpam-483	22	33	t	t	PROPN
ejpam-483	22	34	;	;	PUNCT
ejpam-483	22	35	z	z	X
ejpam-483	22	36	)	)	PUNCT
ejpam-483	22	37	:	:	PUNCT
ejpam-483	22	38	c3×u→	c3×u→	NUM
ejpam-483	22	39	c.	c.	NOUN
ejpam-483	22	40	if	if	SCONJ
ejpam-483	22	41	h	h	PROPN
ejpam-483	22	42	and	and	CCONJ
ejpam-483	22	43	ϕ(h(z	ϕ(h(z	PROPN
ejpam-483	22	44	)	)	PUNCT
ejpam-483	22	45	,	,	PUNCT
ejpam-483	22	46	zh′(z	zh′(z	PROPN
ejpam-483	22	47	)	)	PUNCT
ejpam-483	22	48	,	,	PUNCT
ejpam-483	22	49	z2h′′(z	z2h′′(z	NOUN
ejpam-483	22	50	)	)	PUNCT
ejpam-483	22	51	;	;	PUNCT
ejpam-483	22	52	z	z	X
ejpam-483	22	53	)	)	PUNCT
ejpam-483	22	54	are	be	AUX
ejpam-483	22	55	univalent	univalent	ADJ
ejpam-483	22	56	functions	function	NOUN
ejpam-483	22	57	in	in	ADP
ejpam-483	22	58	u	u	NOUN
ejpam-483	22	59	,	,	PUNCT
ejpam-483	22	60	and	and	CCONJ
ejpam-483	22	61	if	if	SCONJ
ejpam-483	22	62	h	h	NOUN
ejpam-483	22	63	satisfies	satisfy	VERB
ejpam-483	22	64	the	the	DET
ejpam-483	22	65	secondorder	secondorder	ADJ
ejpam-483	22	66	superordination	superordination	NOUN
ejpam-483	22	67	g(z	g(z	PROPN
ejpam-483	22	68	)	)	PUNCT
ejpam-483	22	69	≺	≺	NOUN
ejpam-483	22	70	ϕ	ϕ	PROPN
ejpam-483	22	71	�	�	PROPN
ejpam-483	22	72	h(z	h(z	PROPN
ejpam-483	22	73	)	)	PUNCT
ejpam-483	22	74	,	,	PUNCT
ejpam-483	22	75	zh′(z	zh′(z	PROPN
ejpam-483	22	76	)	)	PUNCT
ejpam-483	22	77	,	,	PUNCT
ejpam-483	22	78	z2h′′(z	z2h′′(z	NOUN
ejpam-483	22	79	)	)	PUNCT
ejpam-483	22	80	;	;	PUNCT
ejpam-483	22	81	z	z	PROPN
ejpam-483	22	82	�	�	PROPN
ejpam-483	22	83	,	,	PUNCT
ejpam-483	22	84	(	(	PUNCT
ejpam-483	22	85	2	2	X
ejpam-483	22	86	)	)	PUNCT
ejpam-483	22	87	a	a	DET
ejpam-483	22	88	function	function	NOUN
ejpam-483	22	89	q	q	PROPN
ejpam-483	22	90	∈	∈	PROPN
ejpam-483	22	91	h(u	h(u	PROPN
ejpam-483	22	92	)	)	PUNCT
ejpam-483	22	93	is	be	AUX
ejpam-483	22	94	called	call	VERB
ejpam-483	22	95	a	a	DET
ejpam-483	22	96	subordinant	subordinant	NOUN
ejpam-483	22	97	of	of	ADP
ejpam-483	22	98	(	(	PUNCT
ejpam-483	22	99	2	2	NUM
ejpam-483	22	100	)	)	PUNCT
ejpam-483	22	101	,	,	PUNCT
ejpam-483	22	102	if	if	SCONJ
ejpam-483	22	103	q(z	q(z	PROPN
ejpam-483	22	104	)	)	PUNCT
ejpam-483	22	105	≺	≺	NOUN
ejpam-483	22	106	h(z	h(z	NOUN
ejpam-483	22	107	)	)	PUNCT
ejpam-483	22	108	for	for	ADP
ejpam-483	22	109	all	all	DET
ejpam-483	22	110	the	the	DET
ejpam-483	22	111	functions	function	NOUN
ejpam-483	22	112	h	h	NOUN
ejpam-483	22	113	satisfying	satisfy	VERB
ejpam-483	22	114	(	(	PUNCT
ejpam-483	22	115	2	2	NUM
ejpam-483	22	116	)	)	PUNCT
ejpam-483	22	117	.	.	PUNCT
ejpam-483	23	1	a	a	DET
ejpam-483	23	2	univalent	univalent	ADJ
ejpam-483	23	3	subordinant	subordinant	NOUN
ejpam-483	23	4	eq	eq	NOUN
ejpam-483	23	5	that	that	PRON
ejpam-483	23	6	satisfies	satisfy	VERB
ejpam-483	23	7	q(z	q(z	PROPN
ejpam-483	23	8	)	)	PUNCT
ejpam-483	23	9	≺	≺	NOUN
ejpam-483	23	10	eq(z	eq(z	NUM
ejpam-483	23	11	)	)	PUNCT
ejpam-483	23	12	for	for	ADP
ejpam-483	23	13	all	all	PRON
ejpam-483	23	14	of	of	ADP
ejpam-483	23	15	the	the	DET
ejpam-483	23	16	subordinants	subordinant	NOUN
ejpam-483	23	17	q	q	PROPN
ejpam-483	23	18	of	of	ADP
ejpam-483	23	19	(	(	PUNCT
ejpam-483	23	20	2	2	NUM
ejpam-483	23	21	)	)	PUNCT
ejpam-483	23	22	,	,	PUNCT
ejpam-483	23	23	is	be	AUX
ejpam-483	23	24	said	say	VERB
ejpam-483	23	25	to	to	PART
ejpam-483	23	26	be	be	AUX
ejpam-483	23	27	the	the	DET
ejpam-483	23	28	best	good	ADJ
ejpam-483	23	29	subordinant	subordinant	NOUN
ejpam-483	23	30	.	.	PUNCT
ejpam-483	24	1	recently	recently	ADV
ejpam-483	24	2	,	,	PUNCT
ejpam-483	24	3	miller	miller	PROPN
ejpam-483	24	4	and	and	CCONJ
ejpam-483	24	5	mocanu	mocanu	NOUN
ejpam-483	24	6	[	[	X
ejpam-483	24	7	14	14	NUM
ejpam-483	24	8	]	]	PUNCT
ejpam-483	24	9	obtained	obtain	VERB
ejpam-483	24	10	sufficient	sufficient	ADJ
ejpam-483	24	11	conditions	condition	NOUN
ejpam-483	24	12	for	for	ADP
ejpam-483	24	13	the	the	DET
ejpam-483	24	14	functions	function	NOUN
ejpam-483	24	15	g	g	NOUN
ejpam-483	24	16	,	,	PUNCT
ejpam-483	24	17	h	h	NOUN
ejpam-483	24	18	and	and	CCONJ
ejpam-483	24	19	ϕ	ϕ	NOUN
ejpam-483	24	20	,	,	PUNCT
ejpam-483	24	21	such	such	ADJ
ejpam-483	24	22	that	that	SCONJ
ejpam-483	24	23	the	the	DET
ejpam-483	24	24	following	follow	VERB
ejpam-483	24	25	implication	implication	NOUN
ejpam-483	24	26	holds	hold	VERB
ejpam-483	24	27	:	:	PUNCT
ejpam-483	24	28	g(z)≺	g(z)≺	PROPN
ejpam-483	24	29	ϕ	ϕ	PROPN
ejpam-483	24	30	�	�	PROPN
ejpam-483	24	31	h(z	h(z	PROPN
ejpam-483	24	32	)	)	PUNCT
ejpam-483	24	33	,	,	PUNCT
ejpam-483	24	34	zh′(z	zh′(z	PROPN
ejpam-483	24	35	)	)	PUNCT
ejpam-483	24	36	,	,	PUNCT
ejpam-483	24	37	z2h′′(z	z2h′′(z	NOUN
ejpam-483	24	38	)	)	PUNCT
ejpam-483	24	39	;	;	PUNCT
ejpam-483	24	40	z	z	PROPN
ejpam-483	24	41	�	�	PROPN
ejpam-483	24	42	⇒	⇒	VERB
ejpam-483	24	43	g(z)≺	g(z)≺	PROPN
ejpam-483	24	44	h(z	h(z	NOUN
ejpam-483	24	45	)	)	PUNCT
ejpam-483	24	46	.	.	PUNCT
ejpam-483	25	1	using	use	VERB
ejpam-483	25	2	the	the	DET
ejpam-483	25	3	results	result	NOUN
ejpam-483	25	4	of	of	ADP
ejpam-483	25	5	[	[	X
ejpam-483	25	6	14	14	NUM
ejpam-483	25	7	]	]	PUNCT
ejpam-483	25	8	,	,	PUNCT
ejpam-483	25	9	[	[	X
ejpam-483	25	10	4	4	NUM
ejpam-483	25	11	]	]	PUNCT
ejpam-483	25	12	investigated	investigate	VERB
ejpam-483	25	13	certain	certain	ADJ
ejpam-483	25	14	classes	class	NOUN
ejpam-483	25	15	of	of	ADP
ejpam-483	25	16	first	first	ADJ
ejpam-483	25	17	order	order	NOUN
ejpam-483	25	18	differential	differential	ADJ
ejpam-483	25	19	superordinations	superordination	NOUN
ejpam-483	25	20	,	,	PUNCT
ejpam-483	25	21	as	as	ADV
ejpam-483	25	22	well	well	ADV
ejpam-483	25	23	as	as	ADP
ejpam-483	25	24	superordination	superordination	NOUN
ejpam-483	25	25	-	-	PUNCT
ejpam-483	25	26	preserving	preserve	VERB
ejpam-483	25	27	integral	integral	ADJ
ejpam-483	25	28	operators	operator	NOUN
ejpam-483	25	29	[	[	X
ejpam-483	25	30	5	5	NUM
ejpam-483	25	31	]	]	PUNCT
ejpam-483	25	32	.	.	PUNCT
ejpam-483	26	1	ali	ali	PROPN
ejpam-483	26	2	et	et	PROPN
ejpam-483	26	3	al	al	PROPN
ejpam-483	26	4	.	.	PUNCT
ejpam-483	27	1	[	[	X
ejpam-483	27	2	1	1	X
ejpam-483	27	3	]	]	PUNCT
ejpam-483	27	4	used	use	VERB
ejpam-483	27	5	the	the	DET
ejpam-483	27	6	results	result	NOUN
ejpam-483	27	7	of	of	ADP
ejpam-483	27	8	[	[	X
ejpam-483	27	9	4	4	X
ejpam-483	27	10	]	]	PUNCT
ejpam-483	27	11	to	to	PART
ejpam-483	27	12	obtain	obtain	VERB
ejpam-483	27	13	sufficient	sufficient	ADJ
ejpam-483	27	14	conditions	condition	NOUN
ejpam-483	27	15	for	for	ADP
ejpam-483	27	16	normalized	normalize	VERB
ejpam-483	27	17	analytic	analytic	ADJ
ejpam-483	27	18	functions	function	NOUN
ejpam-483	27	19	to	to	PART
ejpam-483	27	20	satisfy	satisfy	VERB
ejpam-483	27	21	q1(z	q1(z	NUM
ejpam-483	27	22	)	)	PUNCT
ejpam-483	27	23	≺	≺	NOUN
ejpam-483	27	24	z	z	X
ejpam-483	27	25	f	f	PROPN
ejpam-483	27	26	′(z	′(z	NOUN
ejpam-483	27	27	)	)	PUNCT
ejpam-483	27	28	f	f	PROPN
ejpam-483	27	29	(	(	PUNCT
ejpam-483	27	30	z	z	NOUN
ejpam-483	27	31	)	)	PUNCT
ejpam-483	27	32	≺	≺	NOUN
ejpam-483	27	33	q2(z	q2(z	NUM
ejpam-483	27	34	)	)	PUNCT
ejpam-483	27	35	,	,	PUNCT
ejpam-483	27	36	where	where	SCONJ
ejpam-483	27	37	q1	q1	PROPN
ejpam-483	27	38	and	and	CCONJ
ejpam-483	27	39	q2	q2	NOUN
ejpam-483	27	40	are	be	AUX
ejpam-483	27	41	given	give	VERB
ejpam-483	27	42	univalent	univalent	ADJ
ejpam-483	27	43	normalized	normalize	VERB
ejpam-483	27	44	functions	function	NOUN
ejpam-483	27	45	in	in	ADP
ejpam-483	27	46	u.	u.	PROPN
ejpam-483	27	47	very	very	ADV
ejpam-483	27	48	recently	recently	ADV
ejpam-483	27	49	,	,	PUNCT
ejpam-483	27	50	shanmugam	shanmugam	PROPN
ejpam-483	27	51	et	et	PROPN
ejpam-483	27	52	al	al	PROPN
ejpam-483	27	53	.	.	PUNCT
ejpam-483	28	1	[	[	X
ejpam-483	28	2	21	21	NUM
ejpam-483	28	3	]	]	PUNCT
ejpam-483	28	4	obtained	obtain	VERB
ejpam-483	28	5	sufficient	sufficient	ADJ
ejpam-483	28	6	conditions	condition	NOUN
ejpam-483	28	7	for	for	ADP
ejpam-483	28	8	a	a	DET
ejpam-483	28	9	normalized	normalize	VERB
ejpam-483	28	10	analytic	analytic	ADJ
ejpam-483	28	11	function	function	NOUN
ejpam-483	28	12	f	f	PROPN
ejpam-483	28	13	to	to	PART
ejpam-483	28	14	satisfy	satisfy	VERB
ejpam-483	28	15	q1(z	q1(z	NUM
ejpam-483	28	16	)	)	PUNCT
ejpam-483	28	17	≺	≺	NOUN
ejpam-483	28	18	f	f	X
ejpam-483	28	19	(	(	PUNCT
ejpam-483	28	20	z	z	NOUN
ejpam-483	28	21	)	)	PUNCT
ejpam-483	29	1	z	z	PROPN
ejpam-483	29	2	f	f	NOUN
ejpam-483	29	3	′(z	′(z	NOUN
ejpam-483	29	4	)	)	PUNCT
ejpam-483	29	5	≺	≺	NOUN
ejpam-483	29	6	q2(z	q2(z	NUM
ejpam-483	29	7	)	)	PUNCT
ejpam-483	29	8	and	and	CCONJ
ejpam-483	29	9	q1(z	q1(z	PROPN
ejpam-483	29	10	)	)	PUNCT
ejpam-483	29	11	≺	≺	NOUN
ejpam-483	29	12	z2	z2	PROPN
ejpam-483	29	13	f	f	PROPN
ejpam-483	29	14	′(z	′(z	NOUN
ejpam-483	29	15	)	)	PUNCT
ejpam-483	29	16	�	�	PROPN
ejpam-483	29	17	f	f	PROPN
ejpam-483	29	18	(	(	PUNCT
ejpam-483	29	19	z	z	NOUN
ejpam-483	29	20	)	)	PUNCT
ejpam-483	29	21	�	�	PROPN
ejpam-483	29	22	2	2	NUM
ejpam-483	29	23	≺	≺	NOUN
ejpam-483	29	24	q2(z	q2(z	NOUN
ejpam-483	29	25	)	)	PUNCT
ejpam-483	29	26	,	,	PUNCT
ejpam-483	29	27	where	where	SCONJ
ejpam-483	29	28	q1	q1	PROPN
ejpam-483	29	29	and	and	CCONJ
ejpam-483	29	30	q2	q2	NOUN
ejpam-483	29	31	are	be	AUX
ejpam-483	29	32	given	give	VERB
ejpam-483	29	33	univalent	univalent	ADJ
ejpam-483	29	34	functions	function	NOUN
ejpam-483	29	35	in	in	ADP
ejpam-483	29	36	u	u	NOUN
ejpam-483	29	37	,	,	PUNCT
ejpam-483	29	38	with	with	ADP
ejpam-483	29	39	q1(0	q1(0	PROPN
ejpam-483	29	40	)	)	PUNCT
ejpam-483	29	41	=	=	PUNCT
ejpam-483	29	42	q2(0	q2(0	PROPN
ejpam-483	29	43	)	)	PUNCT
ejpam-483	29	44	=	=	SYM
ejpam-483	30	1	1	1	X
ejpam-483	30	2	.	.	X
ejpam-483	30	3	for	for	ADP
ejpam-483	30	4	the	the	DET
ejpam-483	30	5	functions	function	NOUN
ejpam-483	30	6	f	f	NOUN
ejpam-483	30	7	given	give	VERB
ejpam-483	30	8	by	by	ADP
ejpam-483	30	9	(	(	PUNCT
ejpam-483	30	10	1	1	NUM
ejpam-483	30	11	)	)	PUNCT
ejpam-483	30	12	,	,	PUNCT
ejpam-483	30	13	and	and	CCONJ
ejpam-483	30	14	g	g	PROPN
ejpam-483	30	15	∈	∈	PROPN
ejpam-483	30	16	a	a	DET
ejpam-483	30	17	given	give	VERB
ejpam-483	30	18	by	by	ADP
ejpam-483	30	19	g(z	g(z	PROPN
ejpam-483	30	20	)	)	PUNCT
ejpam-483	30	21	=	=	SYM
ejpam-483	30	22	z	z	NOUN
ejpam-483	31	1	+	+	NOUN
ejpam-483	31	2	∞∑	∞∑	ADJ
ejpam-483	31	3	k=2	k=2	PROPN
ejpam-483	31	4	bkzk	bkzk	NOUN
ejpam-483	31	5	,	,	PUNCT
ejpam-483	31	6	the	the	DET
ejpam-483	31	7	hadamard	hadamard	NOUN
ejpam-483	31	8	(	(	PUNCT
ejpam-483	31	9	or	or	CCONJ
ejpam-483	31	10	convolution	convolution	NOUN
ejpam-483	31	11	)	)	PUNCT
ejpam-483	31	12	product	product	NOUN
ejpam-483	31	13	of	of	ADP
ejpam-483	31	14	f	f	PROPN
ejpam-483	31	15	and	and	CCONJ
ejpam-483	31	16	g	g	PROPN
ejpam-483	31	17	is	be	AUX
ejpam-483	31	18	defined	define	VERB
ejpam-483	31	19	by	by	ADP
ejpam-483	31	20	(	(	PUNCT
ejpam-483	31	21	f	f	PROPN
ejpam-483	31	22	∗	∗	PROPN
ejpam-483	31	23	g)(z	g)(z	PUNCT
ejpam-483	31	24	)	)	PUNCT
ejpam-483	31	25	=	=	SYM
ejpam-483	32	1	z	z	NOUN
ejpam-483	33	1	+	+	NOUN
ejpam-483	33	2	∞∑	∞∑	NUM
ejpam-483	33	3	k=2	k=2	PROPN
ejpam-483	33	4	ak	ak	PROPN
ejpam-483	33	5	bkzk	bkzk	NOUN
ejpam-483	33	6	,	,	PUNCT
ejpam-483	33	7	z	z	PROPN
ejpam-483	33	8	∈	∈	PROPN
ejpam-483	33	9	u.	u.	VERB
ejpam-483	33	10	in	in	ADP
ejpam-483	33	11	this	this	DET
ejpam-483	33	12	paper	paper	NOUN
ejpam-483	33	13	we	we	PRON
ejpam-483	33	14	obtained	obtain	VERB
ejpam-483	33	15	several	several	ADJ
ejpam-483	33	16	interesting	interesting	ADJ
ejpam-483	33	17	subordination	subordination	NOUN
ejpam-483	33	18	results	result	NOUN
ejpam-483	33	19	for	for	ADP
ejpam-483	33	20	the	the	DET
ejpam-483	33	21	function	function	NOUN
ejpam-483	33	22	�	�	PROPN
ejpam-483	33	23	(	(	PUNCT
ejpam-483	33	24	f	f	PROPN
ejpam-483	33	25	∗	∗	PROPN
ejpam-483	33	26	g)(z	g)(z	PROPN
ejpam-483	33	27	)	)	PUNCT
ejpam-483	33	28	z	z	PROPN
ejpam-483	33	29	�	�	PROPN
ejpam-483	33	30	α	α	PROPN
ejpam-483	33	31	,	,	PUNCT
ejpam-483	33	32	α	α	PROPN
ejpam-483	33	33	∈	∈	PROPN
ejpam-483	33	34	c∗	c∗	NOUN
ejpam-483	33	35	,	,	PUNCT
ejpam-483	33	36	that	that	PRON
ejpam-483	33	37	generalize	generalize	VERB
ejpam-483	33	38	some	some	DET
ejpam-483	33	39	previous	previous	ADJ
ejpam-483	33	40	results	result	NOUN
ejpam-483	33	41	obtained	obtain	VERB
ejpam-483	33	42	by	by	ADP
ejpam-483	33	43	different	different	ADJ
ejpam-483	33	44	authors	author	NOUN
ejpam-483	33	45	.	.	PUNCT
ejpam-483	34	1	remark	remark	PROPN
ejpam-483	34	2	1	1	NUM
ejpam-483	34	3	.	.	PUNCT
ejpam-483	35	1	(	(	PUNCT
ejpam-483	35	2	i	i	NOUN
ejpam-483	35	3	)	)	PUNCT
ejpam-483	35	4	for	for	ADP
ejpam-483	35	5	different	different	ADJ
ejpam-483	35	6	choices	choice	NOUN
ejpam-483	35	7	of	of	ADP
ejpam-483	35	8	the	the	DET
ejpam-483	35	9	function	function	NOUN
ejpam-483	35	10	g	g	NOUN
ejpam-483	35	11	,	,	PUNCT
ejpam-483	35	12	the	the	DET
ejpam-483	35	13	convolution	convolution	NOUN
ejpam-483	35	14	product	product	NOUN
ejpam-483	35	15	f	f	PROPN
ejpam-483	35	16	∗	∗	NOUN
ejpam-483	35	17	g	g	PROPN
ejpam-483	35	18	reduces	reduce	VERB
ejpam-483	35	19	to	to	ADP
ejpam-483	35	20	several	several	ADJ
ejpam-483	35	21	interesting	interesting	ADJ
ejpam-483	35	22	functions	function	NOUN
ejpam-483	35	23	.	.	PUNCT
ejpam-483	36	1	for	for	ADP
ejpam-483	36	2	example	example	NOUN
ejpam-483	36	3	,	,	PUNCT
ejpam-483	36	4	if	if	SCONJ
ejpam-483	36	5	g(z	g(z	ADJ
ejpam-483	36	6	)	)	PUNCT
ejpam-483	36	7	=	=	SYM
ejpam-483	37	1	z	z	NOUN
ejpam-483	38	1	+	+	NOUN
ejpam-483	39	1	∞∑	∞∑	NUM
ejpam-483	39	2	k=2	k=2	NOUN
ejpam-483	39	3	(	(	PUNCT
ejpam-483	39	4	α1)k−1	α1)k−1	PROPN
ejpam-483	39	5	·	·	PUNCT
ejpam-483	39	6	.	.	PUNCT
ejpam-483	39	7	.	.	PUNCT
ejpam-483	39	8	.	.	PUNCT
ejpam-483	39	9	·	·	PUNCT
ejpam-483	40	1	(	(	PUNCT
ejpam-483	40	2	αl)k−1	αl)k−1	NOUN
ejpam-483	40	3	(	(	PUNCT
ejpam-483	40	4	β1)k−1	β1)k−1	NOUN
ejpam-483	40	5	·	·	PUNCT
ejpam-483	40	6	.	.	PUNCT
ejpam-483	40	7	.	.	PUNCT
ejpam-483	40	8	.	.	PUNCT
ejpam-483	40	9	·	·	PUNCT
ejpam-483	40	10	(	(	PUNCT
ejpam-483	40	11	βs)k−1(1)k−1	βs)k−1(1)k−1	PUNCT
ejpam-483	40	12	zk	zk	PROPN
ejpam-483	40	13	,	,	PUNCT
ejpam-483	40	14	z	z	PROPN
ejpam-483	40	15	∈	∈	PROPN
ejpam-483	40	16	u	u	NOUN
ejpam-483	40	17	,	,	PUNCT
ejpam-483	40	18	(	(	PUNCT
ejpam-483	40	19	3	3	X
ejpam-483	40	20	)	)	PUNCT
ejpam-483	40	21	a.	a.	NOUN
ejpam-483	40	22	mostafa	mostafa	PROPN
ejpam-483	40	23	,	,	PUNCT
ejpam-483	40	24	t.	t.	PROPN
ejpam-483	40	25	bulboacă	bulboacă	NOUN
ejpam-483	40	26	,	,	PUNCT
ejpam-483	40	27	and	and	CCONJ
ejpam-483	40	28	m.	m.	PROPN
ejpam-483	40	29	aouf	aouf	PROPN
ejpam-483	40	30	/	/	SYM
ejpam-483	40	31	eur	eur	PROPN
ejpam-483	40	32	.	.	PUNCT
ejpam-483	41	1	j.	j.	PROPN
ejpam-483	41	2	pure	pure	PROPN
ejpam-483	41	3	appl	appl	PROPN
ejpam-483	41	4	.	.	PROPN
ejpam-483	41	5	math	math	PROPN
ejpam-483	41	6	,	,	PUNCT
ejpam-483	41	7	3	3	NUM
ejpam-483	41	8	(	(	PUNCT
ejpam-483	41	9	2010	2010	NUM
ejpam-483	41	10	)	)	PUNCT
ejpam-483	41	11	,	,	PUNCT
ejpam-483	41	12	1	1	NUM
ejpam-483	41	13	-	-	SYM
ejpam-483	41	14	12	12	NUM
ejpam-483	41	15	3	3	NUM
ejpam-483	41	16	where	where	SCONJ
ejpam-483	41	17	,	,	PUNCT
ejpam-483	41	18	αi	αi	VERB
ejpam-483	41	19	>	>	X
ejpam-483	41	20	0	0	PUNCT
ejpam-483	42	1	(	(	PUNCT
ejpam-483	42	2	i	i	NOUN
ejpam-483	42	3	=	=	SYM
ejpam-483	42	4	1,2	1,2	NUM
ejpam-483	42	5	,	,	PUNCT
ejpam-483	42	6	.	.	PUNCT
ejpam-483	42	7	.	.	PUNCT
ejpam-483	42	8	.	.	PUNCT
ejpam-483	43	1	l	l	X
ejpam-483	43	2	)	)	PUNCT
ejpam-483	43	3	,	,	PUNCT
ejpam-483	43	4	β	β	X
ejpam-483	43	5	j	j	X
ejpam-483	43	6	>	>	X
ejpam-483	43	7	0	0	PUNCT
ejpam-483	44	1	(	(	PUNCT
ejpam-483	44	2	j	j	PROPN
ejpam-483	44	3	=	=	SYM
ejpam-483	44	4	1,2	1,2	NUM
ejpam-483	44	5	,	,	PUNCT
ejpam-483	44	6	.	.	PUNCT
ejpam-483	44	7	.	.	PUNCT
ejpam-483	44	8	.	.	PUNCT
ejpam-483	45	1	s	s	X
ejpam-483	45	2	)	)	PUNCT
ejpam-483	45	3	,	,	PUNCT
ejpam-483	45	4	l	l	PROPN
ejpam-483	45	5	≤	≤	PROPN
ejpam-483	45	6	s	s	PART
ejpam-483	45	7	+	+	ADJ
ejpam-483	45	8	1	1	NUM
ejpam-483	45	9	,	,	PUNCT
ejpam-483	45	10	l	l	NOUN
ejpam-483	45	11	,	,	PUNCT
ejpam-483	45	12	s	s	PROPN
ejpam-483	45	13	∈	∈	PROPN
ejpam-483	45	14	n0	n0	X
ejpam-483	45	15	=	=	SYM
ejpam-483	45	16	n	n	PRON
ejpam-483	45	17	∪	∪	X
ejpam-483	45	18	{	{	PUNCT
ejpam-483	45	19	0	0	NUM
ejpam-483	45	20	}	}	PUNCT
ejpam-483	45	21	,	,	PUNCT
ejpam-483	45	22	where	where	SCONJ
ejpam-483	45	23	n	n	ADV
ejpam-483	45	24	=	=	SYM
ejpam-483	45	25	{	{	PUNCT
ejpam-483	45	26	1,2	1,2	NUM
ejpam-483	45	27	,	,	PUNCT
ejpam-483	45	28	.	.	PUNCT
ejpam-483	45	29	.	.	PUNCT
ejpam-483	45	30	.	.	PUNCT
ejpam-483	46	1	}	}	PUNCT
ejpam-483	46	2	,	,	PUNCT
ejpam-483	46	3	we	we	PRON
ejpam-483	46	4	see	see	VERB
ejpam-483	46	5	that	that	SCONJ
ejpam-483	46	6	f	f	PROPN
ejpam-483	46	7	∗	∗	VERB
ejpam-483	46	8	g	g	PROPN
ejpam-483	46	9	=	=	NOUN
ejpam-483	46	10	hl	hl	PROPN
ejpam-483	46	11	,	,	PUNCT
ejpam-483	46	12	s(α1	s(α1	NOUN
ejpam-483	46	13	)	)	PUNCT
ejpam-483	46	14	f	f	PROPN
ejpam-483	46	15	,	,	PUNCT
ejpam-483	46	16	where	where	SCONJ
ejpam-483	46	17	hl	hl	NOUN
ejpam-483	46	18	,	,	PUNCT
ejpam-483	46	19	s(α1	s(α1	NOUN
ejpam-483	46	20	)	)	PUNCT
ejpam-483	46	21	is	be	AUX
ejpam-483	46	22	the	the	DET
ejpam-483	46	23	dziok	dziok	NOUN
ejpam-483	46	24	-	-	PUNCT
ejpam-483	46	25	srivastava	srivastava	PROPN
ejpam-483	46	26	operator	operator	NOUN
ejpam-483	46	27	,	,	PUNCT
ejpam-483	46	28	introduced	introduce	VERB
ejpam-483	46	29	and	and	CCONJ
ejpam-483	46	30	studied	study	VERB
ejpam-483	46	31	in	in	ADP
ejpam-483	46	32	[	[	X
ejpam-483	46	33	8	8	NUM
ejpam-483	46	34	]	]	PUNCT
ejpam-483	46	35	(	(	PUNCT
ejpam-483	46	36	see	see	VERB
ejpam-483	46	37	also	also	ADV
ejpam-483	46	38	[	[	X
ejpam-483	46	39	9	9	NUM
ejpam-483	46	40	]	]	PUNCT
ejpam-483	46	41	,	,	PUNCT
ejpam-483	46	42	[	[	X
ejpam-483	46	43	10	10	NUM
ejpam-483	46	44	]	]	NUM
ejpam-483	46	45	)	)	PUNCT
ejpam-483	46	46	.	.	PUNCT
ejpam-483	47	1	the	the	DET
ejpam-483	47	2	operator	operator	NOUN
ejpam-483	47	3	hl	hl	NOUN
ejpam-483	47	4	,	,	PUNCT
ejpam-483	47	5	s(α1	s(α1	NOUN
ejpam-483	47	6	)	)	PUNCT
ejpam-483	47	7	,	,	PUNCT
ejpam-483	47	8	contains	contain	VERB
ejpam-483	47	9	many	many	ADJ
ejpam-483	47	10	interesting	interesting	ADJ
ejpam-483	47	11	operators	operator	NOUN
ejpam-483	47	12	,	,	PUNCT
ejpam-483	47	13	such	such	ADJ
ejpam-483	47	14	as	as	ADP
ejpam-483	47	15	hohlov	hohlov	NOUN
ejpam-483	47	16	linear	linear	NOUN
ejpam-483	47	17	operator	operator	NOUN
ejpam-483	47	18	(	(	PUNCT
ejpam-483	47	19	see	see	VERB
ejpam-483	47	20	[	[	X
ejpam-483	47	21	11	11	NUM
ejpam-483	47	22	]	]	PUNCT
ejpam-483	47	23	,	,	PUNCT
ejpam-483	47	24	[	[	X
ejpam-483	47	25	19	19	NUM
ejpam-483	47	26	]	]	NUM
ejpam-483	47	27	)	)	PUNCT
ejpam-483	47	28	,	,	PUNCT
ejpam-483	47	29	the	the	DET
ejpam-483	47	30	bernardi	bernardi	PROPN
ejpam-483	47	31	-	-	PUNCT
ejpam-483	47	32	libera	libera	NOUN
ejpam-483	47	33	-	-	PUNCT
ejpam-483	47	34	livingston	livingston	PROPN
ejpam-483	47	35	operator	operator	NOUN
ejpam-483	47	36	(	(	PUNCT
ejpam-483	47	37	see	see	VERB
ejpam-483	47	38	[	[	X
ejpam-483	47	39	12	12	NUM
ejpam-483	47	40	]	]	NUM
ejpam-483	47	41	)	)	PUNCT
ejpam-483	47	42	,	,	PUNCT
ejpam-483	47	43	and	and	CCONJ
ejpam-483	47	44	owa	owa	PROPN
ejpam-483	47	45	-	-	PROPN
ejpam-483	47	46	srivastava	srivastava	PROPN
ejpam-483	47	47	fractional	fractional	ADJ
ejpam-483	47	48	derivative	derivative	ADJ
ejpam-483	47	49	operator	operator	NOUN
ejpam-483	47	50	(	(	PUNCT
ejpam-483	47	51	see	see	VERB
ejpam-483	47	52	[	[	X
ejpam-483	47	53	17	17	NUM
ejpam-483	47	54	]	]	NUM
ejpam-483	47	55	)	)	PUNCT
ejpam-483	47	56	.	.	PUNCT
ejpam-483	48	1	(	(	PUNCT
ejpam-483	48	2	ii	ii	NOUN
ejpam-483	48	3	)	)	PUNCT
ejpam-483	48	4	also	also	ADV
ejpam-483	48	5	,	,	PUNCT
ejpam-483	48	6	if	if	SCONJ
ejpam-483	48	7	g(z	g(z	ADJ
ejpam-483	48	8	)	)	PUNCT
ejpam-483	48	9	=	=	SYM
ejpam-483	49	1	z	z	NOUN
ejpam-483	50	1	+	+	NOUN
ejpam-483	50	2	∞∑	∞∑	NUM
ejpam-483	50	3	k=2	k=2	PROPN
ejpam-483	50	4	�	�	PROPN
ejpam-483	50	5	1	1	NUM
ejpam-483	50	6	+	+	NUM
ejpam-483	50	7	l	l	NOUN
ejpam-483	50	8	+	+	NOUN
ejpam-483	50	9	λ(k−	λ(k−	PROPN
ejpam-483	50	10	1	1	NUM
ejpam-483	50	11	)	)	PUNCT
ejpam-483	50	12	1	1	NUM
ejpam-483	50	13	+	+	NUM
ejpam-483	50	14	l	l	NOUN
ejpam-483	50	15	�	�	PROPN
ejpam-483	50	16	m	m	PROPN
ejpam-483	50	17	zk	zk	PROPN
ejpam-483	50	18	,	,	PUNCT
ejpam-483	50	19	z	z	PROPN
ejpam-483	50	20	∈	∈	PROPN
ejpam-483	50	21	u	u	NOUN
ejpam-483	50	22	,	,	PUNCT
ejpam-483	50	23	(	(	PUNCT
ejpam-483	50	24	4	4	NUM
ejpam-483	50	25	)	)	PUNCT
ejpam-483	50	26	where	where	SCONJ
ejpam-483	50	27	λ	λ	PROPN
ejpam-483	50	28	≥	≥	NOUN
ejpam-483	50	29	0	0	NUM
ejpam-483	50	30	,	,	PUNCT
ejpam-483	50	31	l	l	X
ejpam-483	50	32	≥	≥	NOUN
ejpam-483	50	33	0	0	NUM
ejpam-483	50	34	,	,	PUNCT
ejpam-483	50	35	m	m	PROPN
ejpam-483	50	36	∈	∈	NOUN
ejpam-483	50	37	n0	n0	NUM
ejpam-483	50	38	,	,	PUNCT
ejpam-483	50	39	we	we	PRON
ejpam-483	50	40	see	see	VERB
ejpam-483	50	41	that	that	SCONJ
ejpam-483	50	42	f	f	PROPN
ejpam-483	50	43	∗	∗	VERB
ejpam-483	50	44	g	g	NOUN
ejpam-483	50	45	=	=	NOUN
ejpam-483	50	46	i(m	i(m	NOUN
ejpam-483	50	47	,	,	PUNCT
ejpam-483	50	48	λ	λ	NOUN
ejpam-483	50	49	,	,	PUNCT
ejpam-483	50	50	l	l	NOUN
ejpam-483	50	51	)	)	PUNCT
ejpam-483	50	52	f	f	NOUN
ejpam-483	50	53	,	,	PUNCT
ejpam-483	50	54	where	where	SCONJ
ejpam-483	50	55	i(m	i(m	NOUN
ejpam-483	50	56	,	,	PUNCT
ejpam-483	50	57	λ	λ	NOUN
ejpam-483	50	58	,	,	PUNCT
ejpam-483	50	59	l	l	NOUN
ejpam-483	50	60	)	)	PUNCT
ejpam-483	50	61	is	be	AUX
ejpam-483	50	62	the	the	DET
ejpam-483	50	63	generalized	generalize	VERB
ejpam-483	50	64	multiplier	multipli	ADJ
ejpam-483	50	65	transformation	transformation	NOUN
ejpam-483	50	66	introduced	introduce	VERB
ejpam-483	50	67	and	and	CCONJ
ejpam-483	50	68	studied	study	VERB
ejpam-483	50	69	by	by	ADP
ejpam-483	50	70	cătaş	cătaş	PROPN
ejpam-483	50	71	et	et	NOUN
ejpam-483	50	72	.	.	PUNCT
ejpam-483	51	1	al	al	PROPN
ejpam-483	51	2	.	.	PUNCT
ejpam-483	52	1	[	[	X
ejpam-483	52	2	6	6	NUM
ejpam-483	52	3	]	]	PUNCT
ejpam-483	52	4	.	.	PUNCT
ejpam-483	53	1	the	the	DET
ejpam-483	53	2	operator	operator	NOUN
ejpam-483	53	3	i(m	i(m	NOUN
ejpam-483	53	4	,	,	PUNCT
ejpam-483	53	5	λ	λ	NOUN
ejpam-483	53	6	,	,	PUNCT
ejpam-483	53	7	l	l	NOUN
ejpam-483	53	8	)	)	PUNCT
ejpam-483	53	9	contains	contain	VERB
ejpam-483	53	10	,	,	PUNCT
ejpam-483	53	11	as	as	ADP
ejpam-483	53	12	special	special	ADJ
ejpam-483	53	13	cases	case	NOUN
ejpam-483	53	14	,	,	PUNCT
ejpam-483	53	15	the	the	DET
ejpam-483	53	16	multiplier	multipli	ADJ
ejpam-483	53	17	transformation	transformation	NOUN
ejpam-483	53	18	(	(	PUNCT
ejpam-483	53	19	see	see	VERB
ejpam-483	53	20	[	[	X
ejpam-483	53	21	7	7	NUM
ejpam-483	53	22	]	]	NUM
ejpam-483	53	23	)	)	PUNCT
ejpam-483	53	24	,	,	PUNCT
ejpam-483	53	25	the	the	DET
ejpam-483	53	26	generalized	generalized	ADJ
ejpam-483	53	27	sălăgean	sălăgean	ADJ
ejpam-483	53	28	operator	operator	NOUN
ejpam-483	53	29	introduced	introduce	VERB
ejpam-483	53	30	and	and	CCONJ
ejpam-483	53	31	studied	study	VERB
ejpam-483	53	32	by	by	ADP
ejpam-483	53	33	al	al	PROPN
ejpam-483	53	34	-	-	PUNCT
ejpam-483	53	35	oboudi	oboudi	NOUN
ejpam-483	54	1	[	[	X
ejpam-483	54	2	2	2	NUM
ejpam-483	54	3	]	]	PUNCT
ejpam-483	54	4	(	(	PUNCT
ejpam-483	54	5	see	see	VERB
ejpam-483	54	6	also	also	ADV
ejpam-483	54	7	[	[	X
ejpam-483	54	8	20	20	NUM
ejpam-483	54	9	]	]	NUM
ejpam-483	54	10	)	)	PUNCT
ejpam-483	54	11	.	.	PUNCT
ejpam-483	55	1	2	2	X
ejpam-483	55	2	.	.	X
ejpam-483	55	3	definitions	definition	NOUN
ejpam-483	55	4	and	and	CCONJ
ejpam-483	55	5	preliminaries	preliminary	NOUN
ejpam-483	55	6	to	to	PART
ejpam-483	55	7	prove	prove	VERB
ejpam-483	55	8	our	our	PRON
ejpam-483	55	9	results	result	NOUN
ejpam-483	55	10	we	we	PRON
ejpam-483	55	11	shall	shall	AUX
ejpam-483	55	12	need	need	VERB
ejpam-483	55	13	the	the	DET
ejpam-483	55	14	following	follow	VERB
ejpam-483	55	15	definition	definition	NOUN
ejpam-483	55	16	and	and	CCONJ
ejpam-483	55	17	lemmas	lemmas	PROPN
ejpam-483	55	18	.	.	PUNCT
ejpam-483	56	1	lemma	lemma	PROPN
ejpam-483	56	2	1	1	NUM
ejpam-483	56	3	.	.	PUNCT
ejpam-483	57	1	[	[	X
ejpam-483	57	2	13	13	NUM
ejpam-483	57	3	]	]	PUNCT
ejpam-483	57	4	let	let	VERB
ejpam-483	57	5	q	q	PUNCT
ejpam-483	57	6	be	be	AUX
ejpam-483	57	7	univalent	univalent	ADJ
ejpam-483	57	8	in	in	ADP
ejpam-483	57	9	the	the	DET
ejpam-483	57	10	unit	unit	NOUN
ejpam-483	57	11	disc	disc	VERB
ejpam-483	57	12	u	u	NOUN
ejpam-483	57	13	and	and	CCONJ
ejpam-483	57	14	let	let	VERB
ejpam-483	57	15	θ	θ	PROPN
ejpam-483	57	16	and	and	CCONJ
ejpam-483	57	17	ϕ	ϕ	PROPN
ejpam-483	57	18	be	be	AUX
ejpam-483	57	19	analytic	analytic	ADJ
ejpam-483	57	20	in	in	ADP
ejpam-483	57	21	a	a	DET
ejpam-483	57	22	domain	domain	NOUN
ejpam-483	57	23	d	d	NOUN
ejpam-483	57	24	containing	contain	VERB
ejpam-483	57	25	q(u	q(u	PROPN
ejpam-483	57	26	)	)	PUNCT
ejpam-483	57	27	,	,	PUNCT
ejpam-483	57	28	with	with	ADP
ejpam-483	57	29	ϕ(w	ϕ(w	NOUN
ejpam-483	57	30	)	)	PUNCT
ejpam-483	57	31	6=	6=	ADP
ejpam-483	57	32	0	0	NUM
ejpam-483	57	33	when	when	SCONJ
ejpam-483	57	34	w	w	PROPN
ejpam-483	57	35	∈	∈	PROPN
ejpam-483	57	36	q(u	q(u	NOUN
ejpam-483	57	37	)	)	PUNCT
ejpam-483	57	38	.	.	PUNCT
ejpam-483	58	1	set	set	VERB
ejpam-483	58	2	q(z	q(z	PROPN
ejpam-483	58	3	)	)	PUNCT
ejpam-483	58	4	=	=	SYM
ejpam-483	58	5	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-483	58	6	)	)	PUNCT
ejpam-483	58	7	)	)	PUNCT
ejpam-483	58	8	,	,	PUNCT
ejpam-483	58	9	h(z	h(z	NOUN
ejpam-483	58	10	)	)	PUNCT
ejpam-483	58	11	=	=	SYM
ejpam-483	58	12	θ(q(z	θ(q(z	PROPN
ejpam-483	58	13	)	)	PUNCT
ejpam-483	58	14	)	)	PUNCT
ejpam-483	59	1	+	+	CCONJ
ejpam-483	60	1	q(z	q(z	PROPN
ejpam-483	60	2	)	)	PUNCT
ejpam-483	60	3	and	and	CCONJ
ejpam-483	60	4	suppose	suppose	VERB
ejpam-483	60	5	that	that	SCONJ
ejpam-483	60	6	(	(	PUNCT
ejpam-483	60	7	i	i	NOUN
ejpam-483	60	8	)	)	PUNCT
ejpam-483	60	9	q	q	X
ejpam-483	60	10	is	be	AUX
ejpam-483	60	11	a	a	DET
ejpam-483	60	12	starlike	starlike	NOUN
ejpam-483	60	13	function	function	NOUN
ejpam-483	60	14	in	in	ADP
ejpam-483	60	15	u	u	PROPN
ejpam-483	60	16	,	,	PUNCT
ejpam-483	60	17	(	(	PUNCT
ejpam-483	60	18	ii	ii	NOUN
ejpam-483	60	19	)	)	PUNCT
ejpam-483	60	20	re	re	VERB
ejpam-483	60	21	zh′(z	zh′(z	PROPN
ejpam-483	60	22	)	)	PUNCT
ejpam-483	61	1	q(z	q(z	PROPN
ejpam-483	61	2	)	)	PUNCT
ejpam-483	61	3	>	>	X
ejpam-483	62	1	0	0	NUM
ejpam-483	62	2	,	,	PUNCT
ejpam-483	62	3	z	z	NOUN
ejpam-483	62	4	∈	∈	PROPN
ejpam-483	62	5	u.	u.	VERB
ejpam-483	62	6	if	if	SCONJ
ejpam-483	62	7	p	p	NOUN
ejpam-483	62	8	is	be	AUX
ejpam-483	62	9	analytic	analytic	ADJ
ejpam-483	62	10	in	in	ADP
ejpam-483	62	11	u	u	NOUN
ejpam-483	62	12	,	,	PUNCT
ejpam-483	62	13	with	with	ADP
ejpam-483	62	14	p(0	p(0	NOUN
ejpam-483	62	15	)	)	PUNCT
ejpam-483	62	16	=	=	SYM
ejpam-483	62	17	q(0	q(0	PROPN
ejpam-483	62	18	)	)	PUNCT
ejpam-483	62	19	,	,	PUNCT
ejpam-483	62	20	p(u)⊂	p(u)⊂	NOUN
ejpam-483	62	21	d	d	NOUN
ejpam-483	62	22	and	and	CCONJ
ejpam-483	62	23	θ(p(z	θ(p(z	NOUN
ejpam-483	62	24	)	)	PUNCT
ejpam-483	62	25	)	)	PUNCT
ejpam-483	63	1	+	+	CCONJ
ejpam-483	63	2	zp′(z)ϕ(p(z	zp′(z)ϕ(p(z	NUM
ejpam-483	63	3	)	)	PUNCT
ejpam-483	63	4	)	)	PUNCT
ejpam-483	64	1	≺	≺	NOUN
ejpam-483	64	2	θ(q(z	θ(q(z	PROPN
ejpam-483	64	3	)	)	PUNCT
ejpam-483	64	4	)	)	PUNCT
ejpam-483	65	1	+	+	CCONJ
ejpam-483	65	2	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-483	65	3	)	)	PUNCT
ejpam-483	65	4	)	)	PUNCT
ejpam-483	66	1	,	,	PUNCT
ejpam-483	66	2	(	(	PUNCT
ejpam-483	66	3	5	5	NUM
ejpam-483	66	4	)	)	PUNCT
ejpam-483	66	5	then	then	ADV
ejpam-483	66	6	p(z	p(z	NOUN
ejpam-483	66	7	)	)	PUNCT
ejpam-483	66	8	≺	≺	NOUN
ejpam-483	66	9	q(z	q(z	PROPN
ejpam-483	66	10	)	)	PUNCT
ejpam-483	66	11	,	,	PUNCT
ejpam-483	66	12	and	and	CCONJ
ejpam-483	66	13	q	q	NOUN
ejpam-483	66	14	is	be	AUX
ejpam-483	66	15	the	the	DET
ejpam-483	66	16	best	good	ADJ
ejpam-483	66	17	dominant	dominant	NOUN
ejpam-483	66	18	of	of	ADP
ejpam-483	66	19	(	(	PUNCT
ejpam-483	66	20	5	5	NUM
ejpam-483	66	21	)	)	PUNCT
ejpam-483	66	22	.	.	PUNCT
ejpam-483	67	1	lemma	lemma	PROPN
ejpam-483	67	2	2	2	NUM
ejpam-483	67	3	.	.	PUNCT
ejpam-483	68	1	[	[	X
ejpam-483	68	2	21	21	NUM
ejpam-483	68	3	]	]	X
ejpam-483	68	4	let	let	VERB
ejpam-483	68	5	µ	µ	X
ejpam-483	68	6	∈	∈	PROPN
ejpam-483	68	7	c	c	X
ejpam-483	68	8	,	,	PUNCT
ejpam-483	68	9	γ	γ	PROPN
ejpam-483	68	10	∈	∈	PROPN
ejpam-483	68	11	c∗	c∗	PROPN
ejpam-483	68	12	=	=	PUNCT
ejpam-483	68	13	c	c	NOUN
ejpam-483	68	14	\	\	PROPN
ejpam-483	68	15	{	{	PUNCT
ejpam-483	68	16	0	0	NUM
ejpam-483	68	17	}	}	PUNCT
ejpam-483	68	18	and	and	CCONJ
ejpam-483	68	19	let	let	VERB
ejpam-483	68	20	q	q	PUNCT
ejpam-483	68	21	be	be	AUX
ejpam-483	68	22	a	a	DET
ejpam-483	68	23	convex	convex	NOUN
ejpam-483	68	24	function	function	NOUN
ejpam-483	68	25	in	in	ADP
ejpam-483	68	26	u	u	NOUN
ejpam-483	68	27	,	,	PUNCT
ejpam-483	68	28	with	with	ADP
ejpam-483	68	29	re	re	ADJ
ejpam-483	68	30	�	�	PROPN
ejpam-483	68	31	1	1	NUM
ejpam-483	68	32	+	+	NUM
ejpam-483	68	33	zq′′(z	zq′′(z	NOUN
ejpam-483	68	34	)	)	PUNCT
ejpam-483	68	35	q′(z	q′(z	ADP
ejpam-483	68	36	)	)	PUNCT
ejpam-483	68	37	+	+	NUM
ejpam-483	68	38	µ	µ	X
ejpam-483	68	39	γ	γ	X
ejpam-483	68	40	�	�	PROPN
ejpam-483	68	41	>	>	X
ejpam-483	68	42	0	0	PROPN
ejpam-483	68	43	,	,	PUNCT
ejpam-483	68	44	z	z	NOUN
ejpam-483	68	45	∈	∈	PROPN
ejpam-483	68	46	u.	u.	VERB
ejpam-483	68	47	if	if	SCONJ
ejpam-483	68	48	p	p	NOUN
ejpam-483	68	49	is	be	AUX
ejpam-483	68	50	analytic	analytic	ADJ
ejpam-483	68	51	in	in	ADP
ejpam-483	68	52	u	u	NOUN
ejpam-483	68	53	and	and	CCONJ
ejpam-483	68	54	µp(z	µp(z	NUM
ejpam-483	68	55	)	)	PUNCT
ejpam-483	69	1	+	+	NUM
ejpam-483	69	2	γzp′(z	γzp′(z	NOUN
ejpam-483	69	3	)	)	PUNCT
ejpam-483	69	4	≺	≺	NOUN
ejpam-483	69	5	µq(z	µq(z	NUM
ejpam-483	69	6	)	)	PUNCT
ejpam-483	70	1	+	+	CCONJ
ejpam-483	70	2	γzq′(z	γzq′(z	NOUN
ejpam-483	70	3	)	)	PUNCT
ejpam-483	70	4	,	,	PUNCT
ejpam-483	70	5	(	(	PUNCT
ejpam-483	70	6	6	6	NUM
ejpam-483	70	7	)	)	PUNCT
ejpam-483	70	8	then	then	ADV
ejpam-483	70	9	p(z	p(z	NOUN
ejpam-483	70	10	)	)	PUNCT
ejpam-483	70	11	≺	≺	NOUN
ejpam-483	70	12	q(z	q(z	PROPN
ejpam-483	70	13	)	)	PUNCT
ejpam-483	70	14	,	,	PUNCT
ejpam-483	70	15	and	and	CCONJ
ejpam-483	70	16	q	q	NOUN
ejpam-483	70	17	is	be	AUX
ejpam-483	70	18	the	the	DET
ejpam-483	70	19	best	good	ADJ
ejpam-483	70	20	dominant	dominant	NOUN
ejpam-483	70	21	of	of	ADP
ejpam-483	70	22	(	(	PUNCT
ejpam-483	70	23	6	6	NUM
ejpam-483	70	24	)	)	PUNCT
ejpam-483	70	25	.	.	PUNCT
ejpam-483	71	1	a.	a.	PROPN
ejpam-483	71	2	mostafa	mostafa	PROPN
ejpam-483	71	3	,	,	PUNCT
ejpam-483	71	4	t.	t.	PROPN
ejpam-483	71	5	bulboacă	bulboacă	NOUN
ejpam-483	71	6	,	,	PUNCT
ejpam-483	71	7	and	and	CCONJ
ejpam-483	71	8	m.	m.	PROPN
ejpam-483	71	9	aouf	aouf	PROPN
ejpam-483	71	10	/	/	SYM
ejpam-483	71	11	eur	eur	PROPN
ejpam-483	71	12	.	.	PUNCT
ejpam-483	72	1	j.	j.	PROPN
ejpam-483	72	2	pure	pure	PROPN
ejpam-483	72	3	appl	appl	PROPN
ejpam-483	72	4	.	.	PROPN
ejpam-483	72	5	math	math	PROPN
ejpam-483	72	6	,	,	PUNCT
ejpam-483	72	7	3	3	NUM
ejpam-483	72	8	(	(	PUNCT
ejpam-483	72	9	2010	2010	NUM
ejpam-483	72	10	)	)	PUNCT
ejpam-483	72	11	,	,	PUNCT
ejpam-483	72	12	1	1	NUM
ejpam-483	72	13	-	-	SYM
ejpam-483	72	14	12	12	NUM
ejpam-483	72	15	4	4	NUM
ejpam-483	72	16	definition	definition	NOUN
ejpam-483	72	17	1	1	NUM
ejpam-483	72	18	.	.	PUNCT
ejpam-483	73	1	[	[	X
ejpam-483	73	2	14	14	NUM
ejpam-483	73	3	]	]	PUNCT
ejpam-483	73	4	letq	letq	NOUN
ejpam-483	73	5	be	be	VERB
ejpam-483	73	6	the	the	DET
ejpam-483	73	7	set	set	NOUN
ejpam-483	73	8	of	of	ADP
ejpam-483	73	9	all	all	DET
ejpam-483	73	10	functions	function	NOUN
ejpam-483	73	11	f	f	PROPN
ejpam-483	73	12	that	that	PRON
ejpam-483	73	13	are	be	AUX
ejpam-483	73	14	analytic	analytic	ADJ
ejpam-483	73	15	and	and	CCONJ
ejpam-483	73	16	injective	injective	ADJ
ejpam-483	73	17	on	on	ADP
ejpam-483	73	18	u\	u\	PROPN
ejpam-483	73	19	e	e	PROPN
ejpam-483	73	20	(	(	PUNCT
ejpam-483	73	21	f	f	PROPN
ejpam-483	73	22	)	)	PUNCT
ejpam-483	73	23	,	,	PUNCT
ejpam-483	73	24	where	where	SCONJ
ejpam-483	73	25	e	e	X
ejpam-483	73	26	(	(	PUNCT
ejpam-483	73	27	f	f	X
ejpam-483	73	28	)	)	PUNCT
ejpam-483	73	29	=	=	SYM
ejpam-483	73	30	�	�	PROPN
ejpam-483	73	31	ζ	ζ	NOUN
ejpam-483	73	32	∈	∈	PROPN
ejpam-483	73	33	∂u	∂u	PROPN
ejpam-483	73	34	:	:	PUNCT
ejpam-483	73	35	lim	lim	PROPN
ejpam-483	73	36	z→ζ	z→ζ	NUM
ejpam-483	73	37	f	f	X
ejpam-483	73	38	(	(	PUNCT
ejpam-483	73	39	z	z	NOUN
ejpam-483	73	40	)	)	PUNCT
ejpam-483	74	1	=	=	NOUN
ejpam-483	74	2	∞	∞	PROPN
ejpam-483	74	3	�	�	PROPN
ejpam-483	74	4	,	,	PUNCT
ejpam-483	74	5	and	and	CCONJ
ejpam-483	74	6	are	be	AUX
ejpam-483	74	7	such	such	ADJ
ejpam-483	74	8	that	that	SCONJ
ejpam-483	74	9	f	f	PROPN
ejpam-483	74	10	′(ζ	′(ζ	NOUN
ejpam-483	74	11	)	)	PUNCT
ejpam-483	74	12	6=	6=	ADP
ejpam-483	74	13	0	0	NUM
ejpam-483	74	14	for	for	ADP
ejpam-483	74	15	ζ	ζ	NOUN
ejpam-483	74	16	∈	∈	NOUN
ejpam-483	74	17	∂u	∂u	PROPN
ejpam-483	74	18	\	\	NOUN
ejpam-483	75	1	e	e	X
ejpam-483	75	2	(	(	PUNCT
ejpam-483	75	3	f	f	PROPN
ejpam-483	75	4	)	)	PUNCT
ejpam-483	75	5	.	.	PUNCT
ejpam-483	76	1	lemma	lemma	PROPN
ejpam-483	76	2	3	3	X
ejpam-483	76	3	.	.	PUNCT
ejpam-483	77	1	[	[	X
ejpam-483	77	2	5	5	X
ejpam-483	77	3	]	]	PUNCT
ejpam-483	77	4	let	let	VERB
ejpam-483	77	5	q	q	PUNCT
ejpam-483	77	6	be	be	AUX
ejpam-483	77	7	univalent	univalent	ADJ
ejpam-483	77	8	in	in	ADP
ejpam-483	77	9	the	the	DET
ejpam-483	77	10	unit	unit	NOUN
ejpam-483	77	11	disc	disc	VERB
ejpam-483	77	12	u	u	NOUN
ejpam-483	77	13	and	and	CCONJ
ejpam-483	77	14	let	let	VERB
ejpam-483	77	15	θ	θ	PROPN
ejpam-483	77	16	and	and	CCONJ
ejpam-483	77	17	ϕ	ϕ	PROPN
ejpam-483	77	18	be	be	AUX
ejpam-483	77	19	analytic	analytic	ADJ
ejpam-483	77	20	in	in	ADP
ejpam-483	77	21	a	a	DET
ejpam-483	77	22	domain	domain	NOUN
ejpam-483	77	23	d	d	NOUN
ejpam-483	77	24	containing	contain	VERB
ejpam-483	77	25	q(u	q(u	NOUN
ejpam-483	77	26	)	)	PUNCT
ejpam-483	77	27	.	.	PUNCT
ejpam-483	78	1	suppose	suppose	VERB
ejpam-483	78	2	that	that	SCONJ
ejpam-483	78	3	(	(	PUNCT
ejpam-483	78	4	i	i	NOUN
ejpam-483	78	5	)	)	PUNCT
ejpam-483	78	6	re	re	VERB
ejpam-483	78	7	θ	θ	PROPN
ejpam-483	78	8	′(q(z	′(q(z	NOUN
ejpam-483	78	9	)	)	PUNCT
ejpam-483	78	10	)	)	PUNCT
ejpam-483	78	11	ϕ(q(z	ϕ(q(z	PROPN
ejpam-483	78	12	)	)	PUNCT
ejpam-483	78	13	)	)	PUNCT
ejpam-483	79	1	>	>	X
ejpam-483	79	2	0	0	NUM
ejpam-483	79	3	,	,	PUNCT
ejpam-483	79	4	z	z	PROPN
ejpam-483	79	5	∈	∈	PROPN
ejpam-483	79	6	u	u	PROPN
ejpam-483	79	7	,	,	PUNCT
ejpam-483	79	8	(	(	PUNCT
ejpam-483	79	9	ii	ii	NOUN
ejpam-483	79	10	)	)	PUNCT
ejpam-483	79	11	h(z	h(z	NOUN
ejpam-483	79	12	)	)	PUNCT
ejpam-483	79	13	=	=	SYM
ejpam-483	79	14	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-483	79	15	)	)	PUNCT
ejpam-483	79	16	)	)	PUNCT
ejpam-483	79	17	is	be	AUX
ejpam-483	79	18	starlike	starlike	NOUN
ejpam-483	79	19	in	in	ADP
ejpam-483	79	20	u.	u.	PROPN
ejpam-483	79	21	if	if	SCONJ
ejpam-483	79	22	p	p	PROPN
ejpam-483	79	23	∈	∈	PROPN
ejpam-483	79	24	h[q(0	h[q(0	PROPN
ejpam-483	79	25	)	)	PUNCT
ejpam-483	79	26	,	,	PUNCT
ejpam-483	79	27	1]∩q	1]∩q	NUM
ejpam-483	79	28	,	,	PUNCT
ejpam-483	79	29	with	with	ADP
ejpam-483	79	30	p(u	p(u	NOUN
ejpam-483	79	31	)	)	PUNCT
ejpam-483	80	1	⊂	⊂	PROPN
ejpam-483	81	1	d	d	X
ejpam-483	81	2	,	,	PUNCT
ejpam-483	81	3	the	the	DET
ejpam-483	81	4	function	function	NOUN
ejpam-483	81	5	θ(p(z	θ(p(z	PROPN
ejpam-483	81	6	)	)	PUNCT
ejpam-483	81	7	)	)	PUNCT
ejpam-483	82	1	+	+	CCONJ
ejpam-483	82	2	zp′(z)ϕ(p(z	zp′(z)ϕ(p(z	NUM
ejpam-483	82	3	)	)	PUNCT
ejpam-483	82	4	)	)	PUNCT
ejpam-483	83	1	is	be	AUX
ejpam-483	83	2	univalent	univalent	ADJ
ejpam-483	83	3	in	in	ADP
ejpam-483	83	4	u	u	NOUN
ejpam-483	83	5	and	and	CCONJ
ejpam-483	83	6	θ(q(z	θ(q(z	PROPN
ejpam-483	83	7	)	)	PUNCT
ejpam-483	83	8	)	)	PUNCT
ejpam-483	84	1	+	+	CCONJ
ejpam-483	84	2	zq′(z)ϕ(q(z))≺	zq′(z)ϕ(q(z))≺	PROPN
ejpam-483	84	3	θ(p(z	θ(p(z	PROPN
ejpam-483	84	4	)	)	PUNCT
ejpam-483	84	5	)	)	PUNCT
ejpam-483	85	1	+	+	CCONJ
ejpam-483	85	2	zp′(z)ϕ(p(z	zp′(z)ϕ(p(z	NUM
ejpam-483	85	3	)	)	PUNCT
ejpam-483	85	4	)	)	PUNCT
ejpam-483	86	1	,	,	PUNCT
ejpam-483	86	2	(	(	PUNCT
ejpam-483	86	3	7	7	X
ejpam-483	86	4	)	)	PUNCT
ejpam-483	86	5	then	then	ADV
ejpam-483	86	6	q(z)≺	q(z)≺	INTJ
ejpam-483	86	7	p(z	p(z	PROPN
ejpam-483	86	8	)	)	PUNCT
ejpam-483	86	9	,	,	PUNCT
ejpam-483	86	10	and	and	CCONJ
ejpam-483	86	11	q	q	NOUN
ejpam-483	86	12	is	be	AUX
ejpam-483	86	13	the	the	DET
ejpam-483	86	14	best	good	ADJ
ejpam-483	86	15	subordinant	subordinant	NOUN
ejpam-483	86	16	of	of	ADP
ejpam-483	86	17	(	(	PUNCT
ejpam-483	86	18	7	7	NUM
ejpam-483	86	19	)	)	PUNCT
ejpam-483	86	20	.	.	PUNCT
ejpam-483	87	1	lemma	lemma	PROPN
ejpam-483	87	2	4	4	NUM
ejpam-483	87	3	.	.	PUNCT
ejpam-483	88	1	[	[	X
ejpam-483	88	2	18	18	NUM
ejpam-483	88	3	]	]	PUNCT
ejpam-483	88	4	the	the	DET
ejpam-483	88	5	function	function	NOUN
ejpam-483	88	6	q(z	q(z	PROPN
ejpam-483	88	7	)	)	PUNCT
ejpam-483	88	8	=	=	PUNCT
ejpam-483	88	9	(	(	PUNCT
ejpam-483	88	10	1−	1−	NUM
ejpam-483	88	11	z)−2ab	z)−2ab	NOUN
ejpam-483	88	12	is	be	AUX
ejpam-483	88	13	univalent	univalent	ADJ
ejpam-483	88	14	in	in	ADP
ejpam-483	88	15	u	u	NOUN
ejpam-483	88	16	if	if	SCONJ
ejpam-483	88	17	and	and	CCONJ
ejpam-483	88	18	only	only	ADV
ejpam-483	88	19	if	if	SCONJ
ejpam-483	88	20	|2ab−	|2ab−	PROPN
ejpam-483	88	21	1|	1|	NUM
ejpam-483	88	22	≤	≤	NOUN
ejpam-483	88	23	1	1	NUM
ejpam-483	88	24	or	or	CCONJ
ejpam-483	88	25	|2ab+	|2ab+	PROPN
ejpam-483	88	26	1|	1|	NUM
ejpam-483	88	27	≤	≤	NUM
ejpam-483	88	28	1	1	NUM
ejpam-483	88	29	.	.	X
ejpam-483	88	30	3	3	X
ejpam-483	88	31	.	.	X
ejpam-483	88	32	main	main	ADJ
ejpam-483	88	33	results	result	NOUN
ejpam-483	88	34	theorem	theorem	VERB
ejpam-483	88	35	1	1	X
ejpam-483	88	36	.	.	PUNCT
ejpam-483	89	1	let	let	VERB
ejpam-483	89	2	q	q	NOUN
ejpam-483	89	3	be	be	AUX
ejpam-483	89	4	convex	convex	ADJ
ejpam-483	89	5	in	in	ADP
ejpam-483	89	6	u	u	NOUN
ejpam-483	89	7	,	,	PUNCT
ejpam-483	89	8	and	and	CCONJ
ejpam-483	89	9	let	let	VERB
ejpam-483	89	10	α	α	NUM
ejpam-483	89	11	,	,	PUNCT
ejpam-483	89	12	η	η	PROPN
ejpam-483	89	13	∈	∈	PROPN
ejpam-483	89	14	c∗	c∗	PROPN
ejpam-483	89	15	such	such	ADJ
ejpam-483	89	16	that	that	PRON
ejpam-483	89	17	re	re	VERB
ejpam-483	89	18	�	�	PROPN
ejpam-483	89	19	1	1	NUM
ejpam-483	89	20	+	+	NUM
ejpam-483	89	21	zq′′(z	zq′′(z	NOUN
ejpam-483	89	22	)	)	PUNCT
ejpam-483	89	23	q′(z	q′(z	ADP
ejpam-483	89	24	)	)	PUNCT
ejpam-483	90	1	+	+	CCONJ
ejpam-483	90	2	α	α	PROPN
ejpam-483	90	3	η	η	PROPN
ejpam-483	90	4	�	�	PROPN
ejpam-483	90	5	>	>	X
ejpam-483	90	6	0	0	PROPN
ejpam-483	90	7	,	,	PUNCT
ejpam-483	90	8	z	z	PROPN
ejpam-483	90	9	∈	∈	PROPN
ejpam-483	90	10	u.	u.	NOUN
ejpam-483	90	11	(	(	PUNCT
ejpam-483	90	12	8)	8)	NUM
ejpam-483	90	13	let	let	VERB
ejpam-483	90	14	g	g	PROPN
ejpam-483	90	15	∈	∈	PROPN
ejpam-483	90	16	a	a	PRON
ejpam-483	90	17	,	,	PUNCT
ejpam-483	90	18	and	and	CCONJ
ejpam-483	90	19	for	for	ADP
ejpam-483	90	20	all	all	DET
ejpam-483	90	21	functions	function	NOUN
ejpam-483	90	22	f	f	PROPN
ejpam-483	90	23	∈a	∈a	VERB
ejpam-483	90	24	with	with	ADP
ejpam-483	90	25	(	(	PUNCT
ejpam-483	90	26	f	f	PROPN
ejpam-483	90	27	∗	∗	NOUN
ejpam-483	90	28	g)(z	g)(z	PUNCT
ejpam-483	90	29	)	)	PUNCT
ejpam-483	90	30	6=	6=	ADP
ejpam-483	90	31	0	0	NUM
ejpam-483	90	32	,	,	PUNCT
ejpam-483	90	33	z	z	PROPN
ejpam-483	90	34	∈	∈	PROPN
ejpam-483	90	35	u̇=	u̇=	NOUN
ejpam-483	90	36	u	u	NOUN
ejpam-483	90	37	\	\	PUNCT
ejpam-483	90	38	{	{	PUNCT
ejpam-483	90	39	0	0	NUM
ejpam-483	90	40	}	}	PUNCT
ejpam-483	90	41	,	,	PUNCT
ejpam-483	90	42	set	set	VERB
ejpam-483	90	43	χg(α	χg(α	X
ejpam-483	90	44	,	,	PUNCT
ejpam-483	90	45	η	η	NOUN
ejpam-483	90	46	;	;	PUNCT
ejpam-483	90	47	f	f	X
ejpam-483	90	48	)	)	PUNCT
ejpam-483	90	49	(	(	PUNCT
ejpam-483	90	50	z	z	X
ejpam-483	90	51	)	)	PUNCT
ejpam-483	90	52	=	=	SYM
ejpam-483	90	53	(	(	PUNCT
ejpam-483	90	54	1−η	1−η	NUM
ejpam-483	90	55	)	)	PUNCT
ejpam-483	90	56	�	�	PROPN
ejpam-483	90	57	(	(	PUNCT
ejpam-483	90	58	f	f	PROPN
ejpam-483	90	59	∗	∗	PROPN
ejpam-483	90	60	g)(z	g)(z	PROPN
ejpam-483	90	61	)	)	PUNCT
ejpam-483	90	62	z	z	PROPN
ejpam-483	90	63	�	�	PROPN
ejpam-483	90	64	α	α	PROPN
ejpam-483	90	65	+	+	PROPN
ejpam-483	90	66	η	η	PROPN
ejpam-483	90	67	z	z	PROPN
ejpam-483	90	68	(	(	PUNCT
ejpam-483	90	69	f	f	PROPN
ejpam-483	90	70	∗	∗	NOUN
ejpam-483	90	71	g)′(z	g)′(z	NOUN
ejpam-483	90	72	)	)	PUNCT
ejpam-483	91	1	(	(	PUNCT
ejpam-483	91	2	f	f	PROPN
ejpam-483	91	3	∗	∗	PROPN
ejpam-483	91	4	g)(z	g)(z	PUNCT
ejpam-483	91	5	)	)	PUNCT
ejpam-483	91	6	�	�	PROPN
ejpam-483	91	7	(	(	PUNCT
ejpam-483	91	8	f	f	PROPN
ejpam-483	91	9	∗	∗	PROPN
ejpam-483	91	10	g)(z	g)(z	PROPN
ejpam-483	91	11	)	)	PUNCT
ejpam-483	91	12	z	z	PROPN
ejpam-483	91	13	�	�	PROPN
ejpam-483	91	14	α	α	NOUN
ejpam-483	91	15	.	.	PUNCT
ejpam-483	92	1	(	(	PUNCT
ejpam-483	92	2	9	9	NUM
ejpam-483	92	3	)	)	PUNCT
ejpam-483	92	4	then	then	ADV
ejpam-483	92	5	,	,	PUNCT
ejpam-483	92	6	χg(α	χg(α	X
ejpam-483	92	7	,	,	PUNCT
ejpam-483	92	8	η	η	NOUN
ejpam-483	92	9	;	;	PUNCT
ejpam-483	92	10	f	f	PROPN
ejpam-483	92	11	)	)	PUNCT
ejpam-483	92	12	≺	≺	NOUN
ejpam-483	92	13	q(z	q(z	PROPN
ejpam-483	92	14	)	)	PUNCT
ejpam-483	92	15	+	+	NUM
ejpam-483	92	16	η	η	PROPN
ejpam-483	92	17	α	α	PROPN
ejpam-483	92	18	zq′(z	zq′(z	PROPN
ejpam-483	92	19	)	)	PUNCT
ejpam-483	92	20	(	(	PUNCT
ejpam-483	92	21	10	10	NUM
ejpam-483	92	22	)	)	PUNCT
ejpam-483	92	23	implies	imply	VERB
ejpam-483	92	24	�	�	PROPN
ejpam-483	92	25	(	(	PUNCT
ejpam-483	92	26	f	f	PROPN
ejpam-483	92	27	∗	∗	PROPN
ejpam-483	92	28	g)(z	g)(z	PROPN
ejpam-483	92	29	)	)	PUNCT
ejpam-483	92	30	z	z	PROPN
ejpam-483	92	31	�	�	PROPN
ejpam-483	92	32	α	α	NOUN
ejpam-483	92	33	≺	≺	NOUN
ejpam-483	92	34	q(z	q(z	PROPN
ejpam-483	92	35	)	)	PUNCT
ejpam-483	92	36	,	,	PUNCT
ejpam-483	92	37	and	and	CCONJ
ejpam-483	92	38	q	q	NOUN
ejpam-483	92	39	is	be	AUX
ejpam-483	92	40	the	the	DET
ejpam-483	92	41	best	good	ADJ
ejpam-483	92	42	dominant	dominant	NOUN
ejpam-483	92	43	of	of	ADP
ejpam-483	92	44	(	(	PUNCT
ejpam-483	92	45	10	10	NUM
ejpam-483	92	46	)	)	PUNCT
ejpam-483	92	47	.	.	PUNCT
ejpam-483	93	1	(	(	PUNCT
ejpam-483	93	2	all	all	DET
ejpam-483	93	3	the	the	DET
ejpam-483	93	4	powers	power	NOUN
ejpam-483	93	5	are	be	AUX
ejpam-483	93	6	the	the	DET
ejpam-483	93	7	principal	principal	ADJ
ejpam-483	93	8	ones	one	NOUN
ejpam-483	93	9	)	)	PUNCT
ejpam-483	93	10	a.	a.	PROPN
ejpam-483	93	11	mostafa	mostafa	PROPN
ejpam-483	93	12	,	,	PUNCT
ejpam-483	93	13	t.	t.	PROPN
ejpam-483	93	14	bulboacă	bulboacă	NOUN
ejpam-483	93	15	,	,	PUNCT
ejpam-483	93	16	and	and	CCONJ
ejpam-483	93	17	m.	m.	PROPN
ejpam-483	93	18	aouf	aouf	PROPN
ejpam-483	93	19	/	/	SYM
ejpam-483	93	20	eur	eur	PROPN
ejpam-483	93	21	.	.	PUNCT
ejpam-483	94	1	j.	j.	PROPN
ejpam-483	94	2	pure	pure	PROPN
ejpam-483	94	3	appl	appl	PROPN
ejpam-483	94	4	.	.	PROPN
ejpam-483	94	5	math	math	PROPN
ejpam-483	94	6	,	,	PUNCT
ejpam-483	94	7	3	3	NUM
ejpam-483	94	8	(	(	PUNCT
ejpam-483	94	9	2010	2010	NUM
ejpam-483	94	10	)	)	PUNCT
ejpam-483	94	11	,	,	PUNCT
ejpam-483	94	12	1	1	NUM
ejpam-483	94	13	-	-	SYM
ejpam-483	94	14	12	12	NUM
ejpam-483	94	15	5	5	NUM
ejpam-483	94	16	proof	proof	NOUN
ejpam-483	94	17	.	.	PUNCT
ejpam-483	95	1	if	if	SCONJ
ejpam-483	95	2	we	we	PRON
ejpam-483	95	3	define	define	VERB
ejpam-483	95	4	the	the	DET
ejpam-483	95	5	function	function	NOUN
ejpam-483	95	6	ψ	ψ	X
ejpam-483	95	7	by	by	ADP
ejpam-483	95	8	ψ(z	ψ(z	PROPN
ejpam-483	95	9	)	)	PUNCT
ejpam-483	95	10	=	=	SYM
ejpam-483	95	11	�	�	PROPN
ejpam-483	95	12	(	(	PUNCT
ejpam-483	95	13	f	f	PROPN
ejpam-483	95	14	∗	∗	PROPN
ejpam-483	95	15	g)(z	g)(z	PROPN
ejpam-483	95	16	)	)	PUNCT
ejpam-483	95	17	z	z	PROPN
ejpam-483	95	18	�	�	PROPN
ejpam-483	95	19	α	α	NOUN
ejpam-483	95	20	,	,	PUNCT
ejpam-483	95	21	z	z	PROPN
ejpam-483	95	22	∈	∈	PROPN
ejpam-483	95	23	u	u	NOUN
ejpam-483	95	24	,	,	PUNCT
ejpam-483	95	25	(	(	PUNCT
ejpam-483	95	26	11	11	NUM
ejpam-483	95	27	)	)	PUNCT
ejpam-483	95	28	then	then	ADV
ejpam-483	95	29	ψ	ψ	X
ejpam-483	95	30	is	be	AUX
ejpam-483	95	31	analytic	analytic	ADJ
ejpam-483	95	32	in	in	ADP
ejpam-483	95	33	u	u	NOUN
ejpam-483	95	34	and	and	CCONJ
ejpam-483	95	35	ψ(0	ψ(0	PROPN
ejpam-483	95	36	)	)	PUNCT
ejpam-483	95	37	=	=	SYM
ejpam-483	96	1	1	1	X
ejpam-483	96	2	.	.	PUNCT
ejpam-483	96	3	therefore	therefore	ADV
ejpam-483	96	4	,	,	PUNCT
ejpam-483	96	5	by	by	ADP
ejpam-483	96	6	differentiating	differentiate	VERB
ejpam-483	96	7	(	(	PUNCT
ejpam-483	96	8	11	11	NUM
ejpam-483	96	9	)	)	PUNCT
ejpam-483	96	10	logarithmically	logarithmically	ADV
ejpam-483	96	11	with	with	ADP
ejpam-483	96	12	respect	respect	NOUN
ejpam-483	96	13	to	to	ADP
ejpam-483	96	14	z	z	NOUN
ejpam-483	96	15	,	,	PUNCT
ejpam-483	96	16	we	we	PRON
ejpam-483	96	17	have	have	VERB
ejpam-483	96	18	ψ(z	ψ(z	NOUN
ejpam-483	96	19	)	)	PUNCT
ejpam-483	96	20	+	+	CCONJ
ejpam-483	96	21	η	η	PROPN
ejpam-483	96	22	α	α	PROPN
ejpam-483	96	23	zψ′(z	zψ′(z	PROPN
ejpam-483	96	24	)	)	PUNCT
ejpam-483	96	25	=	=	PUNCT
ejpam-483	96	26	(	(	PUNCT
ejpam-483	96	27	1−η	1−η	NUM
ejpam-483	96	28	)	)	PUNCT
ejpam-483	96	29	�	�	PROPN
ejpam-483	96	30	(	(	PUNCT
ejpam-483	96	31	f	f	PROPN
ejpam-483	96	32	∗	∗	PROPN
ejpam-483	96	33	g)(z	g)(z	PROPN
ejpam-483	96	34	)	)	PUNCT
ejpam-483	97	1	z	z	PROPN
ejpam-483	97	2	�	�	PROPN
ejpam-483	97	3	α	α	PROPN
ejpam-483	97	4	+	+	PROPN
ejpam-483	97	5	η	η	PROPN
ejpam-483	97	6	z	z	PROPN
ejpam-483	97	7	(	(	PUNCT
ejpam-483	97	8	f	f	PROPN
ejpam-483	97	9	∗	∗	NOUN
ejpam-483	97	10	g)′(z	g)′(z	NOUN
ejpam-483	97	11	)	)	PUNCT
ejpam-483	98	1	(	(	PUNCT
ejpam-483	98	2	f	f	PROPN
ejpam-483	98	3	∗	∗	PROPN
ejpam-483	98	4	g)(z	g)(z	PUNCT
ejpam-483	98	5	)	)	PUNCT
ejpam-483	98	6	�	�	PROPN
ejpam-483	98	7	(	(	PUNCT
ejpam-483	98	8	f	f	PROPN
ejpam-483	98	9	∗	∗	PROPN
ejpam-483	98	10	g)(z	g)(z	PROPN
ejpam-483	98	11	)	)	PUNCT
ejpam-483	98	12	z	z	PROPN
ejpam-483	98	13	�	�	PROPN
ejpam-483	98	14	α	α	PROPN
ejpam-483	98	15	.	.	PUNCT
ejpam-483	99	1	from	from	ADP
ejpam-483	99	2	the	the	DET
ejpam-483	99	3	assumption	assumption	NOUN
ejpam-483	99	4	(	(	PUNCT
ejpam-483	99	5	10	10	NUM
ejpam-483	99	6	)	)	PUNCT
ejpam-483	99	7	and	and	CCONJ
ejpam-483	99	8	the	the	DET
ejpam-483	99	9	above	above	ADJ
ejpam-483	99	10	relation	relation	NOUN
ejpam-483	99	11	we	we	PRON
ejpam-483	99	12	deduce	deduce	VERB
ejpam-483	99	13	ψ(z	ψ(z	PROPN
ejpam-483	99	14	)	)	PUNCT
ejpam-483	99	15	+	+	CCONJ
ejpam-483	99	16	η	η	PROPN
ejpam-483	99	17	α	α	PROPN
ejpam-483	99	18	zψ′(z)≺	zψ′(z)≺	PROPN
ejpam-483	99	19	q(z	q(z	PROPN
ejpam-483	99	20	)	)	PUNCT
ejpam-483	99	21	+	+	NUM
ejpam-483	99	22	η	η	PROPN
ejpam-483	99	23	α	α	PROPN
ejpam-483	99	24	zq′(z	zq′(z	PROPN
ejpam-483	99	25	)	)	PUNCT
ejpam-483	99	26	,	,	PUNCT
ejpam-483	99	27	hence	hence	ADV
ejpam-483	99	28	,	,	PUNCT
ejpam-483	99	29	the	the	DET
ejpam-483	99	30	assertion	assertion	NOUN
ejpam-483	99	31	of	of	ADP
ejpam-483	99	32	our	our	PRON
ejpam-483	99	33	theorem	theorem	NOUN
ejpam-483	99	34	follows	follow	VERB
ejpam-483	99	35	by	by	ADP
ejpam-483	99	36	using	use	VERB
ejpam-483	99	37	lemma	lemma	PROPN
ejpam-483	99	38	2	2	NUM
ejpam-483	99	39	with	with	ADP
ejpam-483	99	40	µ	µ	NOUN
ejpam-483	99	41	=	=	SYM
ejpam-483	99	42	1	1	NUM
ejpam-483	99	43	and	and	CCONJ
ejpam-483	99	44	γ=	γ=	PROPN
ejpam-483	99	45	η	η	PROPN
ejpam-483	99	46	/	/	SYM
ejpam-483	99	47	α	α	PROPN
ejpam-483	99	48	.	.	PUNCT
ejpam-483	100	1	taking	take	VERB
ejpam-483	100	2	q(z	q(z	PROPN
ejpam-483	100	3	)	)	PUNCT
ejpam-483	100	4	=	=	PUNCT
ejpam-483	100	5	(	(	PUNCT
ejpam-483	100	6	1+az)/(1+bz	1+az)/(1+bz	NUM
ejpam-483	100	7	)	)	PUNCT
ejpam-483	100	8	(	(	PUNCT
ejpam-483	100	9	−1≤	−1≤	VERB
ejpam-483	100	10	b	b	ADP
ejpam-483	100	11	<	<	X
ejpam-483	100	12	a≤	a≤	ADP
ejpam-483	100	13	1	1	NUM
ejpam-483	100	14	)	)	PUNCT
ejpam-483	100	15	in	in	ADP
ejpam-483	100	16	theorem	theorem	NOUN
ejpam-483	100	17	1	1	NUM
ejpam-483	100	18	,	,	PUNCT
ejpam-483	100	19	the	the	DET
ejpam-483	100	20	condition	condition	NOUN
ejpam-483	100	21	(	(	PUNCT
ejpam-483	100	22	8)	8)	NUM
ejpam-483	100	23	becomes	become	VERB
ejpam-483	100	24	re	re	VERB
ejpam-483	100	25	�	�	PROPN
ejpam-483	100	26	1−	1−	NUM
ejpam-483	100	27	bz	bz	PROPN
ejpam-483	100	28	1	1	NUM
ejpam-483	100	29	+	+	CCONJ
ejpam-483	100	30	bz	bz	PROPN
ejpam-483	101	1	+	+	CCONJ
ejpam-483	101	2	η	η	PROPN
ejpam-483	101	3	α	α	PROPN
ejpam-483	101	4	�	�	PROPN
ejpam-483	101	5	>	>	X
ejpam-483	101	6	0	0	PROPN
ejpam-483	101	7	,	,	PUNCT
ejpam-483	101	8	z	z	PROPN
ejpam-483	101	9	∈	∈	PROPN
ejpam-483	101	10	u.	u.	NOUN
ejpam-483	101	11	(	(	PUNCT
ejpam-483	101	12	12	12	NUM
ejpam-483	101	13	)	)	PUNCT
ejpam-483	101	14	it	it	PRON
ejpam-483	101	15	is	be	AUX
ejpam-483	101	16	easy	easy	ADJ
ejpam-483	101	17	to	to	PART
ejpam-483	101	18	check	check	VERB
ejpam-483	101	19	that	that	SCONJ
ejpam-483	101	20	the	the	DET
ejpam-483	101	21	function	function	NOUN
ejpam-483	101	22	φ(z	φ(z	PROPN
ejpam-483	101	23	)	)	PUNCT
ejpam-483	101	24	=	=	PUNCT
ejpam-483	101	25	(	(	PUNCT
ejpam-483	101	26	1−	1−	NUM
ejpam-483	101	27	ζ)/(1	ζ)/(1	NUM
ejpam-483	101	28	+	+	CCONJ
ejpam-483	101	29	ζ	ζ	NOUN
ejpam-483	101	30	)	)	PUNCT
ejpam-483	101	31	,	,	PUNCT
ejpam-483	101	32	|ζ|	|ζ|	PROPN
ejpam-483	101	33	<	<	X
ejpam-483	101	34	|b|	|b|	PROPN
ejpam-483	101	35	≤	≤	ADV
ejpam-483	101	36	1	1	NUM
ejpam-483	101	37	,	,	PUNCT
ejpam-483	101	38	is	be	AUX
ejpam-483	101	39	convex	convex	ADJ
ejpam-483	101	40	in	in	ADP
ejpam-483	101	41	u	u	NOUN
ejpam-483	101	42	,	,	PUNCT
ejpam-483	101	43	and	and	CCONJ
ejpam-483	101	44	since	since	SCONJ
ejpam-483	101	45	φ(ζ	φ(ζ	NOUN
ejpam-483	101	46	)	)	PUNCT
ejpam-483	101	47	=	=	SYM
ejpam-483	101	48	φ(ζ	φ(ζ	NOUN
ejpam-483	101	49	)	)	PUNCT
ejpam-483	101	50	for	for	ADP
ejpam-483	101	51	all	all	DET
ejpam-483	101	52	|ζ|	|ζ|	NOUN
ejpam-483	101	53	<	<	X
ejpam-483	101	54	|b|	|b|	PROPN
ejpam-483	101	55	,	,	PUNCT
ejpam-483	101	56	it	it	PRON
ejpam-483	101	57	follows	follow	VERB
ejpam-483	101	58	that	that	SCONJ
ejpam-483	101	59	the	the	DET
ejpam-483	101	60	image	image	NOUN
ejpam-483	101	61	φ(u	φ(u	NOUN
ejpam-483	101	62	)	)	PUNCT
ejpam-483	101	63	is	be	AUX
ejpam-483	101	64	a	a	DET
ejpam-483	101	65	convex	convex	ADJ
ejpam-483	101	66	domain	domain	NOUN
ejpam-483	101	67	symmetric	symmetric	NOUN
ejpam-483	101	68	with	with	ADP
ejpam-483	101	69	respect	respect	NOUN
ejpam-483	101	70	to	to	ADP
ejpam-483	101	71	the	the	DET
ejpam-483	101	72	real	real	ADJ
ejpam-483	101	73	axis	axis	NOUN
ejpam-483	101	74	,	,	PUNCT
ejpam-483	101	75	hence	hence	ADV
ejpam-483	101	76	inf	inf	PROPN
ejpam-483	101	77	�	�	PROPN
ejpam-483	101	78	re	re	PROPN
ejpam-483	101	79	1−	1−	PROPN
ejpam-483	101	80	bz	bz	PROPN
ejpam-483	101	81	1	1	NUM
ejpam-483	101	82	+	+	CCONJ
ejpam-483	101	83	bz	bz	X
ejpam-483	101	84	:	:	PUNCT
ejpam-483	101	85	z	z	PROPN
ejpam-483	101	86	∈	∈	PROPN
ejpam-483	101	87	u	u	PROPN
ejpam-483	101	88	�	�	PROPN
ejpam-483	101	89	=	=	SYM
ejpam-483	101	90	1−	1−	NUM
ejpam-483	101	91	|b|	|b|	PROPN
ejpam-483	101	92	1	1	NUM
ejpam-483	101	93	+	+	CCONJ
ejpam-483	101	94	|b|	|b|	PROPN
ejpam-483	101	95	≥	≥	NUM
ejpam-483	101	96	0	0	NUM
ejpam-483	101	97	.	.	PUNCT
ejpam-483	102	1	then	then	ADV
ejpam-483	102	2	,	,	PUNCT
ejpam-483	102	3	the	the	DET
ejpam-483	102	4	inequality	inequality	NOUN
ejpam-483	102	5	(	(	PUNCT
ejpam-483	102	6	12	12	NUM
ejpam-483	102	7	)	)	PUNCT
ejpam-483	102	8	is	be	AUX
ejpam-483	102	9	equivalent	equivalent	ADJ
ejpam-483	102	10	to	to	PART
ejpam-483	102	11	re	re	VERB
ejpam-483	102	12	α	α	PROPN
ejpam-483	102	13	η	η	PROPN
ejpam-483	102	14	≥	≥	PROPN
ejpam-483	102	15	|b|	|b|	PROPN
ejpam-483	102	16	−	−	PROPN
ejpam-483	102	17	1	1	NUM
ejpam-483	102	18	1	1	NUM
ejpam-483	102	19	+	+	CCONJ
ejpam-483	102	20	|b|	|b|	PROPN
ejpam-483	102	21	,	,	PUNCT
ejpam-483	102	22	(	(	PUNCT
ejpam-483	102	23	13	13	NUM
ejpam-483	102	24	)	)	PUNCT
ejpam-483	102	25	hence	hence	ADV
ejpam-483	102	26	,	,	PUNCT
ejpam-483	102	27	we	we	PRON
ejpam-483	102	28	have	have	VERB
ejpam-483	102	29	the	the	DET
ejpam-483	102	30	following	follow	VERB
ejpam-483	102	31	corollary	corollary	ADJ
ejpam-483	102	32	:	:	PUNCT
ejpam-483	102	33	corollary	corollary	ADJ
ejpam-483	102	34	1	1	NUM
ejpam-483	102	35	.	.	PUNCT
ejpam-483	103	1	let	let	VERB
ejpam-483	103	2	−1	−1	NOUN
ejpam-483	103	3	≤	≤	NUM
ejpam-483	103	4	b	b	ADP
ejpam-483	103	5	<	<	X
ejpam-483	103	6	a≤	a≤	DET
ejpam-483	103	7	1	1	NUM
ejpam-483	103	8	,	,	PUNCT
ejpam-483	103	9	let	let	VERB
ejpam-483	103	10	α	α	PRON
ejpam-483	103	11	,	,	PUNCT
ejpam-483	103	12	η	η	PROPN
ejpam-483	103	13	∈	∈	PROPN
ejpam-483	103	14	c∗	c∗	NOUN
ejpam-483	103	15	,	,	PUNCT
ejpam-483	103	16	and	and	CCONJ
ejpam-483	103	17	suppose	suppose	VERB
ejpam-483	103	18	that	that	SCONJ
ejpam-483	103	19	the	the	DET
ejpam-483	103	20	condition	condition	NOUN
ejpam-483	103	21	(	(	PUNCT
ejpam-483	103	22	13	13	NUM
ejpam-483	103	23	)	)	PUNCT
ejpam-483	103	24	holds	hold	VERB
ejpam-483	103	25	.	.	PUNCT
ejpam-483	104	1	let	let	VERB
ejpam-483	104	2	g	g	PROPN
ejpam-483	104	3	∈	∈	PROPN
ejpam-483	104	4	a	a	PRON
ejpam-483	104	5	,	,	PUNCT
ejpam-483	104	6	and	and	CCONJ
ejpam-483	104	7	for	for	ADP
ejpam-483	104	8	all	all	DET
ejpam-483	104	9	functions	function	NOUN
ejpam-483	104	10	f	f	PROPN
ejpam-483	104	11	∈a	∈a	VERB
ejpam-483	104	12	with	with	ADP
ejpam-483	104	13	(	(	PUNCT
ejpam-483	104	14	f	f	PROPN
ejpam-483	104	15	∗	∗	NOUN
ejpam-483	104	16	g)(z	g)(z	PUNCT
ejpam-483	104	17	)	)	PUNCT
ejpam-483	104	18	6=	6=	ADP
ejpam-483	104	19	0	0	NUM
ejpam-483	104	20	,	,	PUNCT
ejpam-483	104	21	z	z	PROPN
ejpam-483	104	22	∈	∈	PROPN
ejpam-483	104	23	u̇	u̇	PROPN
ejpam-483	104	24	,	,	PUNCT
ejpam-483	104	25	suppose	suppose	VERB
ejpam-483	104	26	that	that	SCONJ
ejpam-483	104	27	χg(α	χg(α	NOUN
ejpam-483	104	28	,	,	PUNCT
ejpam-483	104	29	η	η	NOUN
ejpam-483	104	30	;	;	PUNCT
ejpam-483	104	31	f	f	PROPN
ejpam-483	104	32	)	)	PUNCT
ejpam-483	104	33	≺	≺	NOUN
ejpam-483	104	34	1	1	NUM
ejpam-483	104	35	+	+	NUM
ejpam-483	104	36	az	az	PROPN
ejpam-483	104	37	1	1	NUM
ejpam-483	104	38	+	+	CCONJ
ejpam-483	104	39	bz	bz	PROPN
ejpam-483	104	40	+	+	CCONJ
ejpam-483	104	41	η	η	PROPN
ejpam-483	104	42	α	α	PROPN
ejpam-483	104	43	(	(	PUNCT
ejpam-483	104	44	a−	a−	PROPN
ejpam-483	104	45	b)z	b)z	X
ejpam-483	104	46	(	(	PUNCT
ejpam-483	104	47	1	1	NUM
ejpam-483	104	48	+	+	CCONJ
ejpam-483	104	49	bz)2	bz)2	NOUN
ejpam-483	104	50	,	,	PUNCT
ejpam-483	104	51	(	(	PUNCT
ejpam-483	104	52	14	14	NUM
ejpam-483	104	53	)	)	PUNCT
ejpam-483	104	54	where	where	SCONJ
ejpam-483	104	55	χg(α	χg(α	X
ejpam-483	104	56	,	,	PUNCT
ejpam-483	104	57	η	η	NOUN
ejpam-483	104	58	;	;	PUNCT
ejpam-483	104	59	f	f	X
ejpam-483	104	60	)	)	PUNCT
ejpam-483	104	61	is	be	AUX
ejpam-483	104	62	given	give	VERB
ejpam-483	104	63	by	by	ADP
ejpam-483	104	64	(	(	PUNCT
ejpam-483	104	65	9	9	NUM
ejpam-483	104	66	)	)	PUNCT
ejpam-483	104	67	.	.	PUNCT
ejpam-483	105	1	then	then	ADV
ejpam-483	105	2	�	�	PROPN
ejpam-483	105	3	(	(	PUNCT
ejpam-483	105	4	f	f	PROPN
ejpam-483	105	5	∗	∗	PROPN
ejpam-483	105	6	g)(z	g)(z	PROPN
ejpam-483	105	7	)	)	PUNCT
ejpam-483	105	8	z	z	PROPN
ejpam-483	105	9	�	�	PROPN
ejpam-483	105	10	α	α	NOUN
ejpam-483	105	11	≺	≺	NOUN
ejpam-483	105	12	1	1	NUM
ejpam-483	105	13	+	+	NUM
ejpam-483	105	14	az	az	PROPN
ejpam-483	105	15	1	1	NUM
ejpam-483	105	16	+	+	CCONJ
ejpam-483	105	17	bz	bz	PROPN
ejpam-483	105	18	,	,	PUNCT
ejpam-483	105	19	and	and	CCONJ
ejpam-483	105	20	(	(	PUNCT
ejpam-483	105	21	1	1	NUM
ejpam-483	105	22	+	+	NUM
ejpam-483	105	23	az)/(1	az)/(1	ADJ
ejpam-483	105	24	+	+	CCONJ
ejpam-483	105	25	bz	bz	X
ejpam-483	105	26	)	)	PUNCT
ejpam-483	105	27	is	be	AUX
ejpam-483	105	28	the	the	DET
ejpam-483	105	29	best	good	ADJ
ejpam-483	105	30	dominant	dominant	NOUN
ejpam-483	105	31	of	of	ADP
ejpam-483	105	32	(	(	PUNCT
ejpam-483	105	33	14	14	NUM
ejpam-483	105	34	)	)	PUNCT
ejpam-483	105	35	.	.	PUNCT
ejpam-483	106	1	(	(	PUNCT
ejpam-483	106	2	all	all	DET
ejpam-483	106	3	the	the	DET
ejpam-483	106	4	powers	power	NOUN
ejpam-483	106	5	are	be	AUX
ejpam-483	106	6	the	the	DET
ejpam-483	106	7	principal	principal	ADJ
ejpam-483	106	8	ones	one	NOUN
ejpam-483	106	9	)	)	PUNCT
ejpam-483	106	10	a.	a.	PROPN
ejpam-483	106	11	mostafa	mostafa	PROPN
ejpam-483	106	12	,	,	PUNCT
ejpam-483	106	13	t.	t.	PROPN
ejpam-483	106	14	bulboacă	bulboacă	NOUN
ejpam-483	106	15	,	,	PUNCT
ejpam-483	106	16	and	and	CCONJ
ejpam-483	106	17	m.	m.	PROPN
ejpam-483	106	18	aouf	aouf	PROPN
ejpam-483	106	19	/	/	SYM
ejpam-483	106	20	eur	eur	PROPN
ejpam-483	106	21	.	.	PUNCT
ejpam-483	107	1	j.	j.	PROPN
ejpam-483	107	2	pure	pure	PROPN
ejpam-483	107	3	appl	appl	PROPN
ejpam-483	107	4	.	.	PROPN
ejpam-483	107	5	math	math	PROPN
ejpam-483	107	6	,	,	PUNCT
ejpam-483	107	7	3	3	NUM
ejpam-483	107	8	(	(	PUNCT
ejpam-483	107	9	2010	2010	NUM
ejpam-483	107	10	)	)	PUNCT
ejpam-483	107	11	,	,	PUNCT
ejpam-483	107	12	1	1	NUM
ejpam-483	107	13	-	-	SYM
ejpam-483	107	14	12	12	NUM
ejpam-483	107	15	6	6	NUM
ejpam-483	107	16	letting	let	VERB
ejpam-483	107	17	g	g	NOUN
ejpam-483	107	18	be	be	AUX
ejpam-483	107	19	of	of	ADP
ejpam-483	107	20	the	the	DET
ejpam-483	107	21	form	form	NOUN
ejpam-483	107	22	(	(	PUNCT
ejpam-483	107	23	3	3	NUM
ejpam-483	107	24	)	)	PUNCT
ejpam-483	107	25	,	,	PUNCT
ejpam-483	107	26	and	and	CCONJ
ejpam-483	107	27	using	use	VERB
ejpam-483	107	28	the	the	DET
ejpam-483	107	29	identity	identity	NOUN
ejpam-483	107	30	[	[	X
ejpam-483	107	31	8	8	NUM
ejpam-483	107	32	]	]	SYM
ejpam-483	107	33	z	z	PROPN
ejpam-483	107	34	�	�	PROPN
ejpam-483	107	35	hl	hl	PROPN
ejpam-483	107	36	,	,	PUNCT
ejpam-483	107	37	s(α1	s(α1	NOUN
ejpam-483	107	38	)	)	PUNCT
ejpam-483	108	1	f	f	PROPN
ejpam-483	108	2	(	(	PUNCT
ejpam-483	108	3	z	z	NOUN
ejpam-483	108	4	)	)	PUNCT
ejpam-483	108	5	�	�	PROPN
ejpam-483	108	6	′	′	NUM
ejpam-483	108	7	=	=	SYM
ejpam-483	108	8	α1hl	α1hl	NOUN
ejpam-483	108	9	,	,	PUNCT
ejpam-483	108	10	s(α1	s(α1	NOUN
ejpam-483	108	11	+	+	CCONJ
ejpam-483	108	12	1	1	X
ejpam-483	108	13	)	)	PUNCT
ejpam-483	108	14	f	f	NOUN
ejpam-483	108	15	(	(	PUNCT
ejpam-483	108	16	z)−	z)−	X
ejpam-483	108	17	(	(	PUNCT
ejpam-483	108	18	α1−	α1−	PROPN
ejpam-483	108	19	1)hl	1)hl	NUM
ejpam-483	108	20	,	,	PUNCT
ejpam-483	108	21	s(α1	s(α1	NOUN
ejpam-483	108	22	)	)	PUNCT
ejpam-483	109	1	f	f	PROPN
ejpam-483	109	2	(	(	PUNCT
ejpam-483	109	3	z	z	NOUN
ejpam-483	109	4	)	)	PUNCT
ejpam-483	109	5	,	,	PUNCT
ejpam-483	109	6	(	(	PUNCT
ejpam-483	109	7	15	15	X
ejpam-483	109	8	)	)	PUNCT
ejpam-483	109	9	we	we	PRON
ejpam-483	109	10	obtain	obtain	VERB
ejpam-483	109	11	the	the	DET
ejpam-483	109	12	next	next	ADJ
ejpam-483	109	13	result	result	NOUN
ejpam-483	109	14	:	:	PUNCT
ejpam-483	109	15	corollary	corollary	ADJ
ejpam-483	109	16	2	2	X
ejpam-483	109	17	.	.	PUNCT
ejpam-483	110	1	let	let	VERB
ejpam-483	110	2	q	q	NOUN
ejpam-483	110	3	be	be	AUX
ejpam-483	110	4	convex	convex	ADJ
ejpam-483	110	5	in	in	ADP
ejpam-483	110	6	u	u	NOUN
ejpam-483	110	7	,	,	PUNCT
ejpam-483	110	8	let	let	VERB
ejpam-483	110	9	α	α	PRON
ejpam-483	110	10	,	,	PUNCT
ejpam-483	110	11	η	η	PROPN
ejpam-483	110	12	∈	∈	PROPN
ejpam-483	110	13	c∗	c∗	NOUN
ejpam-483	110	14	,	,	PUNCT
ejpam-483	110	15	and	and	CCONJ
ejpam-483	110	16	suppose	suppose	VERB
ejpam-483	110	17	that	that	SCONJ
ejpam-483	110	18	q	q	NOUN
ejpam-483	110	19	satisfies	satisfy	VERB
ejpam-483	110	20	the	the	DET
ejpam-483	110	21	condition	condition	NOUN
ejpam-483	110	22	(	(	PUNCT
ejpam-483	110	23	8)	8)	NUM
ejpam-483	110	24	.	.	PUNCT
ejpam-483	111	1	for	for	ADP
ejpam-483	111	2	all	all	DET
ejpam-483	111	3	functions	function	NOUN
ejpam-483	111	4	f	f	PROPN
ejpam-483	111	5	∈	∈	PROPN
ejpam-483	111	6	a	a	PRON
ejpam-483	111	7	with	with	ADP
ejpam-483	111	8	hl	hl	NOUN
ejpam-483	111	9	,	,	PUNCT
ejpam-483	111	10	s(α1	s(α1	NOUN
ejpam-483	111	11	)	)	PUNCT
ejpam-483	111	12	f	f	PROPN
ejpam-483	111	13	(	(	PUNCT
ejpam-483	111	14	z)(z	z)(z	NUM
ejpam-483	111	15	)	)	PUNCT
ejpam-483	111	16	6=	6=	ADP
ejpam-483	111	17	0	0	NUM
ejpam-483	111	18	,	,	PUNCT
ejpam-483	111	19	z	z	PROPN
ejpam-483	111	20	∈	∈	PROPN
ejpam-483	111	21	u̇	u̇	PROPN
ejpam-483	111	22	,	,	PUNCT
ejpam-483	111	23	set	set	VERB
ejpam-483	111	24	χ1(α1;α	χ1(α1;α	PROPN
ejpam-483	111	25	,	,	PUNCT
ejpam-483	111	26	η	η	PROPN
ejpam-483	111	27	;	;	PUNCT
ejpam-483	111	28	f	f	X
ejpam-483	111	29	)	)	PUNCT
ejpam-483	111	30	(	(	PUNCT
ejpam-483	111	31	z	z	NOUN
ejpam-483	111	32	)	)	PUNCT
ejpam-483	111	33	=	=	SYM
ejpam-483	111	34	(	(	PUNCT
ejpam-483	111	35	1−ηα1	1−ηα1	NUM
ejpam-483	111	36	)	)	PUNCT
ejpam-483	111	37	�	�	PROPN
ejpam-483	111	38	hl	hl	NOUN
ejpam-483	111	39	,	,	PUNCT
ejpam-483	111	40	s(α1	s(α1	NOUN
ejpam-483	111	41	)	)	PUNCT
ejpam-483	112	1	f	f	PROPN
ejpam-483	112	2	(	(	PUNCT
ejpam-483	112	3	z	z	NOUN
ejpam-483	112	4	)	)	PUNCT
ejpam-483	112	5	z	z	NOUN
ejpam-483	112	6	�	�	PROPN
ejpam-483	112	7	α	α	PROPN
ejpam-483	112	8	+	+	CCONJ
ejpam-483	112	9	η	η	NOUN
ejpam-483	112	10	α1hl	α1hl	PUNCT
ejpam-483	112	11	,	,	PUNCT
ejpam-483	112	12	s(α1	s(α1	NOUN
ejpam-483	112	13	+	+	CCONJ
ejpam-483	112	14	1	1	X
ejpam-483	112	15	)	)	PUNCT
ejpam-483	112	16	f	f	NOUN
ejpam-483	112	17	(	(	PUNCT
ejpam-483	112	18	z	z	NOUN
ejpam-483	112	19	)	)	PUNCT
ejpam-483	112	20	hl	hl	NOUN
ejpam-483	112	21	,	,	PUNCT
ejpam-483	112	22	s(α1	s(α1	NOUN
ejpam-483	112	23	)	)	PUNCT
ejpam-483	113	1	f	f	PROPN
ejpam-483	113	2	(	(	PUNCT
ejpam-483	113	3	z	z	NOUN
ejpam-483	113	4	)	)	PUNCT
ejpam-483	113	5	�	�	PROPN
ejpam-483	113	6	hl	hl	NOUN
ejpam-483	113	7	,	,	PUNCT
ejpam-483	113	8	s(α1	s(α1	NOUN
ejpam-483	113	9	)	)	PUNCT
ejpam-483	114	1	f	f	PROPN
ejpam-483	114	2	(	(	PUNCT
ejpam-483	114	3	z	z	NOUN
ejpam-483	114	4	)	)	PUNCT
ejpam-483	114	5	z	z	PROPN
ejpam-483	114	6	�	�	PROPN
ejpam-483	114	7	α	α	NOUN
ejpam-483	114	8	.	.	PUNCT
ejpam-483	115	1	(	(	PUNCT
ejpam-483	115	2	16	16	NUM
ejpam-483	115	3	)	)	PUNCT
ejpam-483	115	4	then	then	ADV
ejpam-483	115	5	,	,	PUNCT
ejpam-483	115	6	χ1(α1;α	χ1(α1;α	PROPN
ejpam-483	115	7	,	,	PUNCT
ejpam-483	115	8	η	η	PROPN
ejpam-483	115	9	;	;	PUNCT
ejpam-483	115	10	f	f	X
ejpam-483	115	11	)	)	PUNCT
ejpam-483	115	12	(	(	PUNCT
ejpam-483	115	13	z)≺	z)≺	PROPN
ejpam-483	115	14	q(z	q(z	PROPN
ejpam-483	115	15	)	)	PUNCT
ejpam-483	115	16	+	+	NUM
ejpam-483	115	17	η	η	PROPN
ejpam-483	115	18	α	α	PROPN
ejpam-483	115	19	zq′(z	zq′(z	PROPN
ejpam-483	115	20	)	)	PUNCT
ejpam-483	115	21	,	,	PUNCT
ejpam-483	115	22	(	(	PUNCT
ejpam-483	115	23	17	17	NUM
ejpam-483	115	24	)	)	PUNCT
ejpam-483	115	25	implies	imply	VERB
ejpam-483	115	26	�	�	PROPN
ejpam-483	115	27	hl	hl	PROPN
ejpam-483	115	28	,	,	PUNCT
ejpam-483	115	29	s(α1	s(α1	NOUN
ejpam-483	115	30	)	)	PUNCT
ejpam-483	116	1	f	f	PROPN
ejpam-483	116	2	(	(	PUNCT
ejpam-483	116	3	z	z	NOUN
ejpam-483	116	4	)	)	PUNCT
ejpam-483	116	5	z	z	PROPN
ejpam-483	116	6	�	�	PROPN
ejpam-483	116	7	α	α	NOUN
ejpam-483	116	8	≺	≺	NOUN
ejpam-483	116	9	q(z	q(z	PROPN
ejpam-483	116	10	)	)	PUNCT
ejpam-483	116	11	,	,	PUNCT
ejpam-483	116	12	and	and	CCONJ
ejpam-483	116	13	q	q	NOUN
ejpam-483	116	14	is	be	AUX
ejpam-483	116	15	the	the	DET
ejpam-483	116	16	best	good	ADJ
ejpam-483	116	17	dominant	dominant	NOUN
ejpam-483	116	18	of	of	ADP
ejpam-483	116	19	(	(	PUNCT
ejpam-483	116	20	17	17	NUM
ejpam-483	116	21	)	)	PUNCT
ejpam-483	116	22	.	.	PUNCT
ejpam-483	117	1	(	(	PUNCT
ejpam-483	117	2	all	all	DET
ejpam-483	117	3	the	the	DET
ejpam-483	117	4	powers	power	NOUN
ejpam-483	117	5	are	be	AUX
ejpam-483	117	6	the	the	DET
ejpam-483	117	7	principal	principal	ADJ
ejpam-483	117	8	ones	one	NOUN
ejpam-483	117	9	)	)	PUNCT
ejpam-483	117	10	remark	remark	NOUN
ejpam-483	117	11	2	2	NUM
ejpam-483	117	12	.	.	PUNCT
ejpam-483	118	1	the	the	DET
ejpam-483	118	2	corollary	corollary	ADJ
ejpam-483	118	3	2	2	NUM
ejpam-483	118	4	was	be	AUX
ejpam-483	118	5	also	also	ADV
ejpam-483	118	6	obtained	obtain	VERB
ejpam-483	118	7	by	by	ADP
ejpam-483	118	8	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-483	118	9	and	and	CCONJ
ejpam-483	118	10	magesh	magesh	ADJ
ejpam-483	118	11	[	[	X
ejpam-483	118	12	15	15	NUM
ejpam-483	118	13	,	,	PUNCT
ejpam-483	118	14	theorem	theorem	VERB
ejpam-483	118	15	3.1	3.1	NUM
ejpam-483	118	16	]	]	PUNCT
ejpam-483	118	17	.	.	PUNCT
ejpam-483	119	1	letting	let	VERB
ejpam-483	119	2	g	g	NOUN
ejpam-483	119	3	be	be	AUX
ejpam-483	119	4	of	of	ADP
ejpam-483	119	5	the	the	DET
ejpam-483	119	6	form	form	NOUN
ejpam-483	119	7	(	(	PUNCT
ejpam-483	119	8	4	4	NUM
ejpam-483	119	9	)	)	PUNCT
ejpam-483	119	10	,	,	PUNCT
ejpam-483	119	11	and	and	CCONJ
ejpam-483	119	12	using	use	VERB
ejpam-483	119	13	the	the	DET
ejpam-483	119	14	identity	identity	NOUN
ejpam-483	119	15	[	[	X
ejpam-483	119	16	6	6	NUM
ejpam-483	119	17	]	]	PUNCT
ejpam-483	119	18	λz	λz	PRON
ejpam-483	119	19	�	�	PROPN
ejpam-483	119	20	i(m	i(m	PROPN
ejpam-483	119	21	,	,	PUNCT
ejpam-483	119	22	λ	λ	NOUN
ejpam-483	119	23	,	,	PUNCT
ejpam-483	119	24	l	l	NOUN
ejpam-483	119	25	)	)	PUNCT
ejpam-483	119	26	f	f	NOUN
ejpam-483	119	27	(	(	PUNCT
ejpam-483	119	28	z	z	NOUN
ejpam-483	119	29	)	)	PUNCT
ejpam-483	119	30	�	�	PROPN
ejpam-483	119	31	′	′	NOUN
ejpam-483	119	32	=	=	SYM
ejpam-483	120	1	(	(	PUNCT
ejpam-483	120	2	l	l	NOUN
ejpam-483	120	3	+	+	NOUN
ejpam-483	120	4	1	1	X
ejpam-483	120	5	)	)	PUNCT
ejpam-483	120	6	i(m+	i(m+	NOUN
ejpam-483	120	7	1,λ	1,λ	NUM
ejpam-483	120	8	,	,	PUNCT
ejpam-483	120	9	l	l	NOUN
ejpam-483	120	10	)	)	PUNCT
ejpam-483	120	11	f	f	NOUN
ejpam-483	120	12	(	(	PUNCT
ejpam-483	120	13	z)−	z)−	X
ejpam-483	120	14	(	(	PUNCT
ejpam-483	120	15	1	1	NUM
ejpam-483	120	16	+	+	NUM
ejpam-483	120	17	l	l	NOUN
ejpam-483	120	18	−λ	−λ	NOUN
ejpam-483	120	19	)	)	PUNCT
ejpam-483	120	20	i(m	i(m	NOUN
ejpam-483	120	21	,	,	PUNCT
ejpam-483	120	22	λ	λ	NOUN
ejpam-483	120	23	,	,	PUNCT
ejpam-483	120	24	l	l	NOUN
ejpam-483	120	25	)	)	PUNCT
ejpam-483	120	26	f	f	NOUN
ejpam-483	120	27	(	(	PUNCT
ejpam-483	120	28	z	z	NOUN
ejpam-483	120	29	)	)	PUNCT
ejpam-483	120	30	,	,	PUNCT
ejpam-483	120	31	(	(	PUNCT
ejpam-483	120	32	18	18	NUM
ejpam-483	120	33	)	)	PUNCT
ejpam-483	120	34	where	where	SCONJ
ejpam-483	120	35	λ	λ	X
ejpam-483	120	36	>	>	X
ejpam-483	120	37	0	0	PROPN
ejpam-483	120	38	,	,	PUNCT
ejpam-483	120	39	l	l	X
ejpam-483	120	40	≥	≥	NOUN
ejpam-483	120	41	0	0	NUM
ejpam-483	120	42	,	,	PUNCT
ejpam-483	120	43	m	m	PROPN
ejpam-483	120	44	∈	∈	NOUN
ejpam-483	120	45	n0	n0	NUM
ejpam-483	120	46	,	,	PUNCT
ejpam-483	120	47	we	we	PRON
ejpam-483	120	48	deduce	deduce	VERB
ejpam-483	120	49	:	:	PUNCT
ejpam-483	120	50	corollary	corollary	ADJ
ejpam-483	120	51	3	3	X
ejpam-483	120	52	.	.	PUNCT
ejpam-483	121	1	let	let	VERB
ejpam-483	121	2	q	q	NOUN
ejpam-483	121	3	be	be	AUX
ejpam-483	121	4	convex	convex	ADJ
ejpam-483	121	5	in	in	ADP
ejpam-483	121	6	u	u	NOUN
ejpam-483	121	7	,	,	PUNCT
ejpam-483	121	8	let	let	VERB
ejpam-483	121	9	α	α	PRON
ejpam-483	121	10	,	,	PUNCT
ejpam-483	121	11	η	η	PROPN
ejpam-483	121	12	∈	∈	PROPN
ejpam-483	121	13	c∗	c∗	NOUN
ejpam-483	121	14	,	,	PUNCT
ejpam-483	121	15	and	and	CCONJ
ejpam-483	121	16	suppose	suppose	VERB
ejpam-483	121	17	that	that	SCONJ
ejpam-483	121	18	q	q	NOUN
ejpam-483	121	19	satisfies	satisfy	VERB
ejpam-483	121	20	the	the	DET
ejpam-483	121	21	condition	condition	NOUN
ejpam-483	121	22	(	(	PUNCT
ejpam-483	121	23	8)	8)	NUM
ejpam-483	121	24	.	.	PUNCT
ejpam-483	122	1	for	for	ADP
ejpam-483	122	2	all	all	DET
ejpam-483	122	3	functions	function	NOUN
ejpam-483	122	4	f	f	PROPN
ejpam-483	122	5	∈	∈	PROPN
ejpam-483	122	6	a	a	PRON
ejpam-483	122	7	with	with	ADP
ejpam-483	122	8	i(m	i(m	NOUN
ejpam-483	122	9	,	,	PUNCT
ejpam-483	122	10	λ	λ	NOUN
ejpam-483	122	11	,	,	PUNCT
ejpam-483	122	12	l	l	NOUN
ejpam-483	122	13	)	)	PUNCT
ejpam-483	122	14	f	f	PROPN
ejpam-483	122	15	(	(	PUNCT
ejpam-483	122	16	z)(z	z)(z	NUM
ejpam-483	122	17	)	)	PUNCT
ejpam-483	122	18	6=	6=	ADP
ejpam-483	122	19	0	0	NUM
ejpam-483	122	20	,	,	PUNCT
ejpam-483	122	21	z	z	PROPN
ejpam-483	122	22	∈	∈	PROPN
ejpam-483	122	23	u̇	u̇	PROPN
ejpam-483	122	24	�	�	PROPN
ejpam-483	122	25	λ	λ	PROPN
ejpam-483	122	26	>	>	X
ejpam-483	122	27	0	0	PROPN
ejpam-483	122	28	,	,	PUNCT
ejpam-483	122	29	l	l	X
ejpam-483	122	30	≥	≥	NOUN
ejpam-483	122	31	0	0	NUM
ejpam-483	122	32	,	,	PUNCT
ejpam-483	122	33	m	m	PROPN
ejpam-483	122	34	∈	∈	PROPN
ejpam-483	122	35	n0	n0	PROPN
ejpam-483	122	36	�	�	PROPN
ejpam-483	122	37	,	,	PUNCT
ejpam-483	122	38	set	set	VERB
ejpam-483	122	39	χ2(m	χ2(m	PRON
ejpam-483	122	40	,	,	PUNCT
ejpam-483	122	41	λ	λ	PROPN
ejpam-483	122	42	,	,	PUNCT
ejpam-483	122	43	l;α	l;α	NUM
ejpam-483	122	44	,	,	PUNCT
ejpam-483	122	45	η	η	PROPN
ejpam-483	122	46	;	;	PUNCT
ejpam-483	122	47	f	f	X
ejpam-483	122	48	)	)	PUNCT
ejpam-483	122	49	(	(	PUNCT
ejpam-483	122	50	z	z	NOUN
ejpam-483	122	51	)	)	PUNCT
ejpam-483	122	52	=	=	SYM
ejpam-483	122	53	�	�	PROPN
ejpam-483	122	54	1−	1−	NUM
ejpam-483	122	55	η(l	η(l	PROPN
ejpam-483	122	56	+	+	CCONJ
ejpam-483	122	57	1	1	X
ejpam-483	122	58	)	)	PUNCT
ejpam-483	122	59	λ	λ	PROPN
ejpam-483	122	60	�	�	PROPN
ejpam-483	122	61	�	�	PROPN
ejpam-483	122	62	i(m	i(m	NOUN
ejpam-483	122	63	,	,	PUNCT
ejpam-483	122	64	λ	λ	NOUN
ejpam-483	122	65	,	,	PUNCT
ejpam-483	122	66	l	l	NOUN
ejpam-483	122	67	)	)	PUNCT
ejpam-483	122	68	f	f	NOUN
ejpam-483	122	69	(	(	PUNCT
ejpam-483	122	70	z	z	NOUN
ejpam-483	122	71	)	)	PUNCT
ejpam-483	122	72	z	z	NOUN
ejpam-483	122	73	�	�	PROPN
ejpam-483	122	74	α	α	PROPN
ejpam-483	122	75	+	+	CCONJ
ejpam-483	122	76	η(l	η(l	PROPN
ejpam-483	122	77	+	+	CCONJ
ejpam-483	122	78	1	1	X
ejpam-483	122	79	)	)	PUNCT
ejpam-483	122	80	λ	λ	NOUN
ejpam-483	122	81	i(m+	i(m+	NUM
ejpam-483	122	82	1,λ	1,λ	NUM
ejpam-483	122	83	,	,	PUNCT
ejpam-483	122	84	l	l	NOUN
ejpam-483	122	85	)	)	PUNCT
ejpam-483	122	86	f	f	NOUN
ejpam-483	122	87	(	(	PUNCT
ejpam-483	122	88	z	z	NOUN
ejpam-483	122	89	)	)	PUNCT
ejpam-483	122	90	i(m	i(m	NOUN
ejpam-483	122	91	,	,	PUNCT
ejpam-483	122	92	λ	λ	NOUN
ejpam-483	122	93	,	,	PUNCT
ejpam-483	122	94	l	l	NOUN
ejpam-483	122	95	)	)	PUNCT
ejpam-483	122	96	f	f	NOUN
ejpam-483	122	97	(	(	PUNCT
ejpam-483	122	98	z	z	NOUN
ejpam-483	122	99	)	)	PUNCT
ejpam-483	122	100	�	�	PROPN
ejpam-483	122	101	i(m	i(m	NOUN
ejpam-483	122	102	,	,	PUNCT
ejpam-483	122	103	λ	λ	NOUN
ejpam-483	122	104	,	,	PUNCT
ejpam-483	122	105	l	l	NOUN
ejpam-483	122	106	)	)	PUNCT
ejpam-483	123	1	f	f	NOUN
ejpam-483	123	2	(	(	PUNCT
ejpam-483	123	3	z	z	NOUN
ejpam-483	123	4	)	)	PUNCT
ejpam-483	123	5	z	z	PROPN
ejpam-483	123	6	�	�	PROPN
ejpam-483	123	7	α	α	PROPN
ejpam-483	123	8	,	,	PUNCT
ejpam-483	123	9	(	(	PUNCT
ejpam-483	123	10	19	19	NUM
ejpam-483	123	11	)	)	PUNCT
ejpam-483	123	12	then	then	ADV
ejpam-483	123	13	,	,	PUNCT
ejpam-483	123	14	χ2(m	χ2(m	PROPN
ejpam-483	123	15	,	,	PUNCT
ejpam-483	123	16	λ	λ	PROPN
ejpam-483	123	17	,	,	PUNCT
ejpam-483	123	18	l;α	l;α	NUM
ejpam-483	123	19	,	,	PUNCT
ejpam-483	123	20	η	η	PROPN
ejpam-483	123	21	;	;	PUNCT
ejpam-483	123	22	f	f	X
ejpam-483	123	23	)	)	PUNCT
ejpam-483	123	24	(	(	PUNCT
ejpam-483	123	25	z)≺	z)≺	PROPN
ejpam-483	123	26	q(z	q(z	PROPN
ejpam-483	123	27	)	)	PUNCT
ejpam-483	124	1	+	+	NUM
ejpam-483	124	2	η	η	PROPN
ejpam-483	124	3	α	α	PROPN
ejpam-483	124	4	zq′(z	zq′(z	PROPN
ejpam-483	124	5	)	)	PUNCT
ejpam-483	124	6	,	,	PUNCT
ejpam-483	124	7	(	(	PUNCT
ejpam-483	124	8	20	20	NUM
ejpam-483	124	9	)	)	PUNCT
ejpam-483	124	10	implies	imply	VERB
ejpam-483	124	11	�	�	PROPN
ejpam-483	124	12	i(m	i(m	NOUN
ejpam-483	124	13	,	,	PUNCT
ejpam-483	124	14	λ	λ	NOUN
ejpam-483	124	15	,	,	PUNCT
ejpam-483	124	16	l	l	NOUN
ejpam-483	124	17	)	)	PUNCT
ejpam-483	124	18	f	f	NOUN
ejpam-483	124	19	(	(	PUNCT
ejpam-483	124	20	z	z	NOUN
ejpam-483	124	21	)	)	PUNCT
ejpam-483	124	22	z	z	PROPN
ejpam-483	124	23	�	�	PROPN
ejpam-483	124	24	α	α	NOUN
ejpam-483	124	25	≺	≺	NOUN
ejpam-483	124	26	q(z	q(z	PROPN
ejpam-483	124	27	)	)	PUNCT
ejpam-483	124	28	,	,	PUNCT
ejpam-483	124	29	and	and	CCONJ
ejpam-483	124	30	q	q	NOUN
ejpam-483	124	31	is	be	AUX
ejpam-483	124	32	the	the	DET
ejpam-483	124	33	best	good	ADJ
ejpam-483	124	34	dominant	dominant	NOUN
ejpam-483	124	35	of	of	ADP
ejpam-483	124	36	(	(	PUNCT
ejpam-483	124	37	20	20	NUM
ejpam-483	124	38	)	)	PUNCT
ejpam-483	124	39	.	.	PUNCT
ejpam-483	125	1	(	(	PUNCT
ejpam-483	125	2	all	all	DET
ejpam-483	125	3	the	the	DET
ejpam-483	125	4	powers	power	NOUN
ejpam-483	125	5	are	be	AUX
ejpam-483	125	6	the	the	DET
ejpam-483	125	7	principal	principal	ADJ
ejpam-483	125	8	ones	one	NOUN
ejpam-483	125	9	)	)	PUNCT
ejpam-483	125	10	a.	a.	PROPN
ejpam-483	125	11	mostafa	mostafa	PROPN
ejpam-483	125	12	,	,	PUNCT
ejpam-483	125	13	t.	t.	PROPN
ejpam-483	125	14	bulboacă	bulboacă	NOUN
ejpam-483	125	15	,	,	PUNCT
ejpam-483	125	16	and	and	CCONJ
ejpam-483	125	17	m.	m.	PROPN
ejpam-483	125	18	aouf	aouf	PROPN
ejpam-483	125	19	/	/	SYM
ejpam-483	125	20	eur	eur	PROPN
ejpam-483	125	21	.	.	PUNCT
ejpam-483	126	1	j.	j.	PROPN
ejpam-483	126	2	pure	pure	PROPN
ejpam-483	126	3	appl	appl	PROPN
ejpam-483	126	4	.	.	PROPN
ejpam-483	126	5	math	math	PROPN
ejpam-483	126	6	,	,	PUNCT
ejpam-483	126	7	3	3	NUM
ejpam-483	126	8	(	(	PUNCT
ejpam-483	126	9	2010	2010	NUM
ejpam-483	126	10	)	)	PUNCT
ejpam-483	126	11	,	,	PUNCT
ejpam-483	126	12	1	1	NUM
ejpam-483	126	13	-	-	SYM
ejpam-483	126	14	12	12	NUM
ejpam-483	126	15	7	7	NUM
ejpam-483	126	16	theorem	theorem	NOUN
ejpam-483	126	17	2	2	NUM
ejpam-483	126	18	.	.	PUNCT
ejpam-483	127	1	let	let	VERB
ejpam-483	127	2	α	α	PRON
ejpam-483	127	3	,	,	PUNCT
ejpam-483	127	4	γ	γ	PROPN
ejpam-483	127	5	∈	∈	PROPN
ejpam-483	127	6	c∗	c∗	NOUN
ejpam-483	127	7	,	,	PUNCT
ejpam-483	127	8	and	and	CCONJ
ejpam-483	127	9	let	let	VERB
ejpam-483	127	10	q	q	PART
ejpam-483	127	11	be	be	AUX
ejpam-483	127	12	univalent	univalent	ADJ
ejpam-483	127	13	in	in	ADP
ejpam-483	127	14	u	u	NOUN
ejpam-483	127	15	,	,	PUNCT
ejpam-483	127	16	with	with	ADP
ejpam-483	127	17	q(0	q(0	PROPN
ejpam-483	127	18	)	)	PUNCT
ejpam-483	127	19	=	=	SYM
ejpam-483	127	20	1	1	NUM
ejpam-483	127	21	and	and	CCONJ
ejpam-483	127	22	q(z	q(z	PROPN
ejpam-483	127	23	)	)	PUNCT
ejpam-483	127	24	6=	6=	ADP
ejpam-483	127	25	0	0	NUM
ejpam-483	127	26	for	for	ADP
ejpam-483	127	27	all	all	DET
ejpam-483	127	28	z	z	NOUN
ejpam-483	127	29	∈	∈	PROPN
ejpam-483	127	30	u	u	NOUN
ejpam-483	127	31	,	,	PUNCT
ejpam-483	127	32	such	such	ADJ
ejpam-483	127	33	that	that	SCONJ
ejpam-483	127	34	q	q	ADJ
ejpam-483	127	35	satisfies	satisfie	NOUN
ejpam-483	127	36	re	re	VERB
ejpam-483	127	37	�	�	PROPN
ejpam-483	127	38	1	1	NUM
ejpam-483	127	39	+	+	NUM
ejpam-483	127	40	zq′′(z	zq′′(z	NOUN
ejpam-483	127	41	)	)	PUNCT
ejpam-483	127	42	q′(z	q′(z	PROPN
ejpam-483	127	43	)	)	PUNCT
ejpam-483	127	44	−	−	PROPN
ejpam-483	127	45	zq′(z	zq′(z	SYM
ejpam-483	127	46	)	)	PUNCT
ejpam-483	127	47	q(z	q(z	PROPN
ejpam-483	127	48	)	)	PUNCT
ejpam-483	127	49	�	�	PROPN
ejpam-483	127	50	>	>	X
ejpam-483	127	51	0	0	PROPN
ejpam-483	127	52	,	,	PUNCT
ejpam-483	127	53	z	z	PROPN
ejpam-483	127	54	∈	∈	PROPN
ejpam-483	127	55	u.	u.	NOUN
ejpam-483	127	56	(	(	PUNCT
ejpam-483	127	57	21	21	NUM
ejpam-483	127	58	)	)	PUNCT
ejpam-483	127	59	let	let	VERB
ejpam-483	127	60	g	g	PROPN
ejpam-483	127	61	∈	∈	PROPN
ejpam-483	127	62	a	a	PRON
ejpam-483	127	63	,	,	PUNCT
ejpam-483	127	64	and	and	CCONJ
ejpam-483	127	65	for	for	ADP
ejpam-483	127	66	all	all	DET
ejpam-483	127	67	functions	function	NOUN
ejpam-483	127	68	f	f	PROPN
ejpam-483	127	69	∈a	∈a	VERB
ejpam-483	127	70	with	with	ADP
ejpam-483	127	71	(	(	PUNCT
ejpam-483	127	72	f	f	PROPN
ejpam-483	127	73	∗	∗	NOUN
ejpam-483	127	74	g)(z	g)(z	PUNCT
ejpam-483	127	75	)	)	PUNCT
ejpam-483	127	76	6=	6=	ADP
ejpam-483	127	77	0	0	NUM
ejpam-483	127	78	,	,	PUNCT
ejpam-483	127	79	z	z	PROPN
ejpam-483	127	80	∈	∈	PROPN
ejpam-483	127	81	u̇	u̇	PROPN
ejpam-483	127	82	,	,	PUNCT
ejpam-483	127	83	suppose	suppose	VERB
ejpam-483	127	84	that	that	SCONJ
ejpam-483	127	85	1	1	NUM
ejpam-483	127	86	+	+	CCONJ
ejpam-483	127	87	γα	γα	ADP
ejpam-483	127	88	�	�	PROPN
ejpam-483	127	89	z	z	PROPN
ejpam-483	127	90	(	(	PUNCT
ejpam-483	127	91	f	f	PROPN
ejpam-483	127	92	∗	∗	NOUN
ejpam-483	127	93	g)′(z	g)′(z	NOUN
ejpam-483	127	94	)	)	PUNCT
ejpam-483	127	95	(	(	PUNCT
ejpam-483	127	96	f	f	PROPN
ejpam-483	127	97	∗	∗	PROPN
ejpam-483	127	98	g)(z	g)(z	PUNCT
ejpam-483	127	99	)	)	PUNCT
ejpam-483	127	100	−	−	PROPN
ejpam-483	127	101	1	1	NUM
ejpam-483	127	102	�	�	PROPN
ejpam-483	127	103	≺	≺	NOUN
ejpam-483	127	104	1	1	NUM
ejpam-483	127	105	+	+	NUM
ejpam-483	127	106	γ	γ	PROPN
ejpam-483	127	107	zq′(z	zq′(z	PROPN
ejpam-483	127	108	)	)	PUNCT
ejpam-483	127	109	q(z	q(z	PROPN
ejpam-483	127	110	)	)	PUNCT
ejpam-483	127	111	.	.	PUNCT
ejpam-483	128	1	(	(	PUNCT
ejpam-483	128	2	22	22	NUM
ejpam-483	128	3	)	)	PUNCT
ejpam-483	128	4	then	then	ADV
ejpam-483	128	5	,	,	PUNCT
ejpam-483	128	6	�	�	PROPN
ejpam-483	128	7	(	(	PUNCT
ejpam-483	128	8	f	f	PROPN
ejpam-483	128	9	∗	∗	PROPN
ejpam-483	128	10	g)(z	g)(z	PROPN
ejpam-483	128	11	)	)	PUNCT
ejpam-483	128	12	z	z	PROPN
ejpam-483	128	13	�	�	PROPN
ejpam-483	128	14	α	α	NOUN
ejpam-483	128	15	≺	≺	NOUN
ejpam-483	128	16	q(z	q(z	PROPN
ejpam-483	128	17	)	)	PUNCT
ejpam-483	128	18	,	,	PUNCT
ejpam-483	128	19	and	and	CCONJ
ejpam-483	128	20	q	q	NOUN
ejpam-483	128	21	is	be	AUX
ejpam-483	128	22	the	the	DET
ejpam-483	128	23	best	good	ADJ
ejpam-483	128	24	dominant	dominant	NOUN
ejpam-483	128	25	of	of	ADP
ejpam-483	128	26	(	(	PUNCT
ejpam-483	128	27	22	22	NUM
ejpam-483	128	28	)	)	PUNCT
ejpam-483	128	29	.	.	PUNCT
ejpam-483	129	1	(	(	PUNCT
ejpam-483	129	2	the	the	DET
ejpam-483	129	3	power	power	NOUN
ejpam-483	129	4	is	be	AUX
ejpam-483	129	5	the	the	DET
ejpam-483	129	6	principal	principal	ADJ
ejpam-483	129	7	one	one	NUM
ejpam-483	129	8	)	)	PUNCT
ejpam-483	129	9	proof	proof	NOUN
ejpam-483	129	10	.	.	PUNCT
ejpam-483	130	1	if	if	SCONJ
ejpam-483	130	2	we	we	PRON
ejpam-483	130	3	define	define	VERB
ejpam-483	130	4	the	the	DET
ejpam-483	130	5	function	function	NOUN
ejpam-483	130	6	φ	φ	PROPN
ejpam-483	130	7	by	by	ADP
ejpam-483	130	8	φ(z	φ(z	PROPN
ejpam-483	130	9	)	)	PUNCT
ejpam-483	130	10	=	=	SYM
ejpam-483	130	11	�	�	PROPN
ejpam-483	130	12	(	(	PUNCT
ejpam-483	130	13	f	f	PROPN
ejpam-483	130	14	∗	∗	PROPN
ejpam-483	130	15	g)(z	g)(z	PROPN
ejpam-483	130	16	)	)	PUNCT
ejpam-483	130	17	z	z	PROPN
ejpam-483	130	18	�	�	PROPN
ejpam-483	130	19	α	α	PROPN
ejpam-483	130	20	,	,	PUNCT
ejpam-483	130	21	(	(	PUNCT
ejpam-483	130	22	23	23	NUM
ejpam-483	130	23	)	)	PUNCT
ejpam-483	130	24	then	then	ADV
ejpam-483	130	25	φ	φ	PROPN
ejpam-483	130	26	is	be	AUX
ejpam-483	130	27	analytic	analytic	ADJ
ejpam-483	130	28	in	in	ADP
ejpam-483	130	29	u	u	NOUN
ejpam-483	130	30	and	and	CCONJ
ejpam-483	130	31	φ(0	φ(0	ADJ
ejpam-483	130	32	)	)	PUNCT
ejpam-483	130	33	=	=	SYM
ejpam-483	130	34	1	1	X
ejpam-483	130	35	.	.	X
ejpam-483	130	36	differentiating	differentiate	VERB
ejpam-483	130	37	(	(	PUNCT
ejpam-483	130	38	23	23	NUM
ejpam-483	130	39	)	)	PUNCT
ejpam-483	130	40	logarithmically	logarithmically	ADV
ejpam-483	130	41	with	with	ADP
ejpam-483	130	42	respect	respect	NOUN
ejpam-483	130	43	to	to	ADP
ejpam-483	130	44	z	z	NOUN
ejpam-483	130	45	,	,	PUNCT
ejpam-483	130	46	we	we	PRON
ejpam-483	130	47	get	get	VERB
ejpam-483	130	48	zφ′(z	zφ′(z	NOUN
ejpam-483	130	49	)	)	PUNCT
ejpam-483	130	50	φ(z	φ(z	PROPN
ejpam-483	130	51	)	)	PUNCT
ejpam-483	131	1	=	=	PUNCT
ejpam-483	131	2	α	α	PRON
ejpam-483	131	3	�	�	PROPN
ejpam-483	132	1	z	z	PROPN
ejpam-483	132	2	(	(	PUNCT
ejpam-483	132	3	f	f	PROPN
ejpam-483	132	4	∗	∗	NOUN
ejpam-483	132	5	g)′(z	g)′(z	NOUN
ejpam-483	132	6	)	)	PUNCT
ejpam-483	132	7	(	(	PUNCT
ejpam-483	132	8	f	f	PROPN
ejpam-483	132	9	∗	∗	PROPN
ejpam-483	132	10	g)(z	g)(z	PUNCT
ejpam-483	132	11	)	)	PUNCT
ejpam-483	132	12	−	−	PROPN
ejpam-483	132	13	1	1	NUM
ejpam-483	132	14	�	�	PROPN
ejpam-483	132	15	.	.	PUNCT
ejpam-483	133	1	using	use	VERB
ejpam-483	133	2	the	the	DET
ejpam-483	133	3	above	above	ADJ
ejpam-483	133	4	relation	relation	NOUN
ejpam-483	133	5	in	in	ADP
ejpam-483	133	6	(	(	PUNCT
ejpam-483	133	7	22	22	NUM
ejpam-483	133	8	)	)	PUNCT
ejpam-483	133	9	,	,	PUNCT
ejpam-483	133	10	we	we	PRON
ejpam-483	133	11	have	have	VERB
ejpam-483	133	12	1	1	NUM
ejpam-483	133	13	+	+	NUM
ejpam-483	133	14	γ	γ	PROPN
ejpam-483	133	15	zφ′(z	zφ′(z	NOUN
ejpam-483	133	16	)	)	PUNCT
ejpam-483	133	17	φ(z	φ(z	PROPN
ejpam-483	133	18	)	)	PUNCT
ejpam-483	133	19	≺	≺	NOUN
ejpam-483	134	1	1	1	NUM
ejpam-483	134	2	+	+	NUM
ejpam-483	134	3	γ	γ	PROPN
ejpam-483	134	4	zq′(z	zq′(z	PROPN
ejpam-483	134	5	)	)	PUNCT
ejpam-483	134	6	q(z	q(z	PROPN
ejpam-483	134	7	)	)	PUNCT
ejpam-483	134	8	.	.	PUNCT
ejpam-483	135	1	setting	set	VERB
ejpam-483	135	2	θ(w	θ(w	NOUN
ejpam-483	135	3	)	)	PUNCT
ejpam-483	135	4	=	=	SYM
ejpam-483	135	5	1	1	NUM
ejpam-483	135	6	and	and	CCONJ
ejpam-483	135	7	ϕ(w	ϕ(w	PROPN
ejpam-483	135	8	)	)	PUNCT
ejpam-483	135	9	=	=	PUNCT
ejpam-483	135	10	γ	γ	X
ejpam-483	135	11	/	/	SYM
ejpam-483	135	12	w	w	PROPN
ejpam-483	135	13	,	,	PUNCT
ejpam-483	135	14	then	then	ADV
ejpam-483	135	15	ϕ	ϕ	PROPN
ejpam-483	135	16	and	and	CCONJ
ejpam-483	135	17	θ	θ	PROPN
ejpam-483	135	18	are	be	AUX
ejpam-483	135	19	analytic	analytic	ADJ
ejpam-483	135	20	in	in	ADP
ejpam-483	135	21	c∗.	c∗.	NOUN
ejpam-483	135	22	a	a	DET
ejpam-483	135	23	simple	simple	ADJ
ejpam-483	135	24	computation	computation	NOUN
ejpam-483	135	25	shows	show	VERB
ejpam-483	135	26	that	that	SCONJ
ejpam-483	135	27	q(z	q(z	PROPN
ejpam-483	135	28	)	)	PUNCT
ejpam-483	135	29	=	=	SYM
ejpam-483	135	30	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-483	135	31	)	)	PUNCT
ejpam-483	135	32	)	)	PUNCT
ejpam-483	136	1	=	=	SYM
ejpam-483	136	2	γ	γ	X
ejpam-483	136	3	zq′(z	zq′(z	PROPN
ejpam-483	136	4	)	)	PUNCT
ejpam-483	136	5	q(z	q(z	PROPN
ejpam-483	136	6	)	)	PUNCT
ejpam-483	136	7	,	,	PUNCT
ejpam-483	136	8	h(z	h(z	NOUN
ejpam-483	136	9	)	)	PUNCT
ejpam-483	136	10	=	=	SYM
ejpam-483	136	11	θ(q(z	θ(q(z	PROPN
ejpam-483	136	12	)	)	PUNCT
ejpam-483	136	13	)	)	PUNCT
ejpam-483	137	1	+	+	VERB
ejpam-483	137	2	q(z	q(z	X
ejpam-483	137	3	)	)	PUNCT
ejpam-483	137	4	=	=	SYM
ejpam-483	138	1	1	1	NUM
ejpam-483	138	2	+	+	NUM
ejpam-483	138	3	γ	γ	PROPN
ejpam-483	138	4	zq′(z	zq′(z	PROPN
ejpam-483	138	5	)	)	PUNCT
ejpam-483	138	6	q(z	q(z	PROPN
ejpam-483	138	7	)	)	PUNCT
ejpam-483	138	8	,	,	PUNCT
ejpam-483	138	9	and	and	CCONJ
ejpam-483	138	10	it	it	PRON
ejpam-483	138	11	is	be	AUX
ejpam-483	138	12	easily	easily	ADV
ejpam-483	138	13	to	to	PART
ejpam-483	138	14	see	see	VERB
ejpam-483	138	15	that	that	SCONJ
ejpam-483	138	16	the	the	DET
ejpam-483	138	17	conditions	condition	NOUN
ejpam-483	138	18	of	of	ADP
ejpam-483	138	19	lemma	lemma	PROPN
ejpam-483	138	20	1	1	NUM
ejpam-483	138	21	are	be	AUX
ejpam-483	138	22	satisfied	satisfied	ADJ
ejpam-483	138	23	whenever	whenever	SCONJ
ejpam-483	138	24	(	(	PUNCT
ejpam-483	138	25	21	21	NUM
ejpam-483	138	26	)	)	PUNCT
ejpam-483	138	27	holds	hold	VERB
ejpam-483	138	28	.	.	PUNCT
ejpam-483	139	1	then	then	ADV
ejpam-483	139	2	,	,	PUNCT
ejpam-483	139	3	by	by	ADP
ejpam-483	139	4	applying	apply	VERB
ejpam-483	139	5	lemma	lemma	PROPN
ejpam-483	139	6	1	1	NUM
ejpam-483	139	7	,	,	PUNCT
ejpam-483	139	8	our	our	PRON
ejpam-483	139	9	conclusion	conclusion	NOUN
ejpam-483	139	10	follows	follow	VERB
ejpam-483	139	11	.	.	PUNCT
ejpam-483	140	1	putting	put	VERB
ejpam-483	140	2	q(z	q(z	PROPN
ejpam-483	140	3	)	)	PUNCT
ejpam-483	140	4	=	=	PUNCT
ejpam-483	141	1	(	(	PUNCT
ejpam-483	141	2	1	1	NUM
ejpam-483	141	3	+	+	NUM
ejpam-483	141	4	az)/(1	az)/(1	ADJ
ejpam-483	141	5	+	+	CCONJ
ejpam-483	141	6	bz	bz	X
ejpam-483	141	7	)	)	PUNCT
ejpam-483	141	8	(	(	PUNCT
ejpam-483	141	9	−1≤	−1≤	PROPN
ejpam-483	141	10	b	b	ADP
ejpam-483	141	11	<	<	X
ejpam-483	141	12	a≤	a≤	ADP
ejpam-483	141	13	1	1	NUM
ejpam-483	141	14	)	)	PUNCT
ejpam-483	141	15	in	in	ADP
ejpam-483	141	16	theorem	theorem	NOUN
ejpam-483	141	17	2	2	NUM
ejpam-483	141	18	,	,	PUNCT
ejpam-483	141	19	it	it	PRON
ejpam-483	141	20	is	be	AUX
ejpam-483	141	21	easy	easy	ADJ
ejpam-483	141	22	to	to	PART
ejpam-483	141	23	check	check	VERB
ejpam-483	141	24	that	that	SCONJ
ejpam-483	141	25	the	the	DET
ejpam-483	141	26	condition	condition	NOUN
ejpam-483	141	27	(	(	PUNCT
ejpam-483	141	28	21	21	NUM
ejpam-483	141	29	)	)	PUNCT
ejpam-483	141	30	holds	hold	VERB
ejpam-483	141	31	whenever	whenever	SCONJ
ejpam-483	141	32	−1≤	−1≤	PROPN
ejpam-483	141	33	b	b	ADP
ejpam-483	141	34	<	<	X
ejpam-483	141	35	a≤	a≤	DET
ejpam-483	141	36	1	1	NUM
ejpam-483	141	37	,	,	PUNCT
ejpam-483	141	38	hence	hence	ADV
ejpam-483	141	39	we	we	PRON
ejpam-483	141	40	obtain	obtain	VERB
ejpam-483	141	41	:	:	PUNCT
ejpam-483	142	1	a.	a.	PROPN
ejpam-483	142	2	mostafa	mostafa	PROPN
ejpam-483	142	3	,	,	PUNCT
ejpam-483	142	4	t.	t.	PROPN
ejpam-483	142	5	bulboacă	bulboacă	NOUN
ejpam-483	142	6	,	,	PUNCT
ejpam-483	142	7	and	and	CCONJ
ejpam-483	142	8	m.	m.	PROPN
ejpam-483	142	9	aouf	aouf	PROPN
ejpam-483	142	10	/	/	SYM
ejpam-483	142	11	eur	eur	PROPN
ejpam-483	142	12	.	.	PUNCT
ejpam-483	143	1	j.	j.	PROPN
ejpam-483	143	2	pure	pure	PROPN
ejpam-483	143	3	appl	appl	PROPN
ejpam-483	143	4	.	.	PROPN
ejpam-483	143	5	math	math	PROPN
ejpam-483	143	6	,	,	PUNCT
ejpam-483	143	7	3	3	NUM
ejpam-483	143	8	(	(	PUNCT
ejpam-483	143	9	2010	2010	NUM
ejpam-483	143	10	)	)	PUNCT
ejpam-483	143	11	,	,	PUNCT
ejpam-483	143	12	1	1	NUM
ejpam-483	143	13	-	-	SYM
ejpam-483	143	14	12	12	NUM
ejpam-483	143	15	8	8	NUM
ejpam-483	143	16	corollary	corollary	ADJ
ejpam-483	143	17	4	4	NUM
ejpam-483	143	18	.	.	PUNCT
ejpam-483	144	1	let	let	AUX
ejpam-483	144	2	−1≤	−1≤	VERB
ejpam-483	144	3	b	b	ADP
ejpam-483	144	4	<	<	X
ejpam-483	144	5	a≤	a≤	PRON
ejpam-483	144	6	1	1	NUM
ejpam-483	144	7	.	.	PUNCT
ejpam-483	145	1	let	let	VERB
ejpam-483	145	2	g	g	PROPN
ejpam-483	145	3	∈	∈	PROPN
ejpam-483	145	4	a	a	PRON
ejpam-483	145	5	,	,	PUNCT
ejpam-483	145	6	and	and	CCONJ
ejpam-483	145	7	for	for	ADP
ejpam-483	145	8	all	all	DET
ejpam-483	145	9	functions	function	NOUN
ejpam-483	145	10	f	f	PROPN
ejpam-483	145	11	∈	∈	PROPN
ejpam-483	145	12	a	a	DET
ejpam-483	145	13	with	with	ADP
ejpam-483	145	14	(	(	PUNCT
ejpam-483	145	15	f	f	PROPN
ejpam-483	145	16	∗	∗	NOUN
ejpam-483	145	17	g)(z	g)(z	PUNCT
ejpam-483	145	18	)	)	PUNCT
ejpam-483	145	19	6=	6=	ADP
ejpam-483	145	20	0	0	NUM
ejpam-483	145	21	,	,	PUNCT
ejpam-483	145	22	z	z	PROPN
ejpam-483	145	23	∈	∈	PROPN
ejpam-483	145	24	u̇	u̇	PROPN
ejpam-483	145	25	,	,	PUNCT
ejpam-483	145	26	suppose	suppose	VERB
ejpam-483	145	27	that	that	SCONJ
ejpam-483	145	28	1+α	1+α	NUM
ejpam-483	145	29	�	�	PROPN
ejpam-483	145	30	z	z	PROPN
ejpam-483	145	31	(	(	PUNCT
ejpam-483	145	32	f	f	PROPN
ejpam-483	145	33	∗	∗	NOUN
ejpam-483	145	34	g)′(z	g)′(z	NOUN
ejpam-483	145	35	)	)	PUNCT
ejpam-483	145	36	(	(	PUNCT
ejpam-483	145	37	f	f	PROPN
ejpam-483	145	38	∗	∗	PROPN
ejpam-483	145	39	g)(z	g)(z	PUNCT
ejpam-483	145	40	)	)	PUNCT
ejpam-483	145	41	−	−	PROPN
ejpam-483	145	42	1	1	NUM
ejpam-483	145	43	�	�	PROPN
ejpam-483	145	44	≺	≺	NOUN
ejpam-483	145	45	1	1	NUM
ejpam-483	145	46	+	+	CCONJ
ejpam-483	145	47	(	(	PUNCT
ejpam-483	145	48	a−	a−	PROPN
ejpam-483	145	49	b)z	b)z	X
ejpam-483	145	50	(	(	PUNCT
ejpam-483	145	51	1	1	NUM
ejpam-483	145	52	+	+	NOUN
ejpam-483	145	53	az)(1	az)(1	NUM
ejpam-483	145	54	+	+	X
ejpam-483	145	55	bz	bz	X
ejpam-483	145	56	)	)	PUNCT
ejpam-483	145	57	.	.	PUNCT
ejpam-483	146	1	(	(	PUNCT
ejpam-483	146	2	24	24	NUM
ejpam-483	146	3	)	)	PUNCT
ejpam-483	146	4	then	then	ADV
ejpam-483	146	5	,	,	PUNCT
ejpam-483	146	6	�	�	PROPN
ejpam-483	146	7	(	(	PUNCT
ejpam-483	146	8	f	f	PROPN
ejpam-483	146	9	∗	∗	PROPN
ejpam-483	146	10	g)(z	g)(z	PROPN
ejpam-483	146	11	)	)	PUNCT
ejpam-483	146	12	z	z	PROPN
ejpam-483	146	13	�	�	PROPN
ejpam-483	146	14	α	α	NOUN
ejpam-483	146	15	≺	≺	NOUN
ejpam-483	146	16	1	1	NUM
ejpam-483	146	17	+	+	NUM
ejpam-483	146	18	az	az	PROPN
ejpam-483	146	19	1	1	NUM
ejpam-483	146	20	+	+	CCONJ
ejpam-483	146	21	bz	bz	PROPN
ejpam-483	146	22	,	,	PUNCT
ejpam-483	146	23	and	and	CCONJ
ejpam-483	146	24	(	(	PUNCT
ejpam-483	146	25	1	1	NUM
ejpam-483	146	26	+	+	NUM
ejpam-483	146	27	az)/(1	az)/(1	ADJ
ejpam-483	146	28	+	+	CCONJ
ejpam-483	146	29	bz	bz	X
ejpam-483	146	30	)	)	PUNCT
ejpam-483	146	31	is	be	AUX
ejpam-483	146	32	the	the	DET
ejpam-483	146	33	best	good	ADJ
ejpam-483	146	34	dominant	dominant	NOUN
ejpam-483	146	35	of	of	ADP
ejpam-483	146	36	(	(	PUNCT
ejpam-483	146	37	24	24	NUM
ejpam-483	146	38	)	)	PUNCT
ejpam-483	146	39	.	.	PUNCT
ejpam-483	147	1	(	(	PUNCT
ejpam-483	147	2	the	the	DET
ejpam-483	147	3	power	power	NOUN
ejpam-483	147	4	is	be	AUX
ejpam-483	147	5	the	the	DET
ejpam-483	147	6	principal	principal	ADJ
ejpam-483	147	7	one	one	NOUN
ejpam-483	147	8	)	)	PUNCT
ejpam-483	147	9	putting	put	VERB
ejpam-483	147	10	q(z	q(z	PROPN
ejpam-483	147	11	)	)	PUNCT
ejpam-483	147	12	=	=	PUNCT
ejpam-483	148	1	(	(	PUNCT
ejpam-483	148	2	1	1	NUM
ejpam-483	148	3	+	+	NUM
ejpam-483	148	4	bz)α(a−b)/b	bz)α(a−b)/b	PROPN
ejpam-483	148	5	(	(	PUNCT
ejpam-483	148	6	−1≤	−1≤	PROPN
ejpam-483	148	7	b	b	NOUN
ejpam-483	148	8	<	<	X
ejpam-483	148	9	a≤	a≤	ADP
ejpam-483	148	10	1	1	NUM
ejpam-483	148	11	,	,	PUNCT
ejpam-483	148	12	b	b	PROPN
ejpam-483	148	13	6=	6=	NUM
ejpam-483	148	14	0	0	NUM
ejpam-483	148	15	)	)	PUNCT
ejpam-483	148	16	and	and	CCONJ
ejpam-483	148	17	γ	γ	X
ejpam-483	148	18	=	=	SYM
ejpam-483	148	19	1	1	NUM
ejpam-483	148	20	in	in	ADP
ejpam-483	148	21	theorem	theorem	NOUN
ejpam-483	148	22	2	2	NUM
ejpam-483	148	23	,	,	PUNCT
ejpam-483	148	24	and	and	CCONJ
ejpam-483	148	25	according	accord	VERB
ejpam-483	148	26	to	to	ADP
ejpam-483	148	27	lemma	lemma	PROPN
ejpam-483	148	28	4	4	NUM
ejpam-483	148	29	,	,	PUNCT
ejpam-483	148	30	we	we	PRON
ejpam-483	148	31	have	have	VERB
ejpam-483	148	32	the	the	DET
ejpam-483	148	33	following	follow	VERB
ejpam-483	148	34	result	result	NOUN
ejpam-483	148	35	:	:	PUNCT
ejpam-483	148	36	corollary	corollary	ADJ
ejpam-483	148	37	5	5	X
ejpam-483	148	38	.	.	PUNCT
ejpam-483	149	1	let	let	AUX
ejpam-483	149	2	−1≤	−1≤	VERB
ejpam-483	149	3	b	b	ADP
ejpam-483	149	4	<	<	X
ejpam-483	149	5	a≤	a≤	PRON
ejpam-483	149	6	1	1	NUM
ejpam-483	149	7	,	,	PUNCT
ejpam-483	149	8	with	with	ADP
ejpam-483	149	9	b	b	PROPN
ejpam-483	149	10	6=	6=	NUM
ejpam-483	149	11	0	0	NUM
ejpam-483	149	12	,	,	PUNCT
ejpam-483	149	13	such	such	ADJ
ejpam-483	149	14	that	that	SCONJ
ejpam-483	149	15	�	�	PROPN
ejpam-483	149	16	�	�	PROPN
ejpam-483	149	17	�	�	PROPN
ejpam-483	149	18	�	�	PROPN
ejpam-483	149	19	α(a−	α(a−	SYM
ejpam-483	149	20	b	b	NOUN
ejpam-483	149	21	)	)	PUNCT
ejpam-483	149	22	b	b	NOUN
ejpam-483	149	23	−	−	PROPN
ejpam-483	149	24	1	1	NUM
ejpam-483	149	25	�	�	PROPN
ejpam-483	149	26	�	�	PROPN
ejpam-483	149	27	�	�	PROPN
ejpam-483	149	28	�	�	PROPN
ejpam-483	149	29	≤	≤	NUM
ejpam-483	149	30	1	1	NUM
ejpam-483	149	31	or	or	CCONJ
ejpam-483	149	32	�	�	PROPN
ejpam-483	149	33	�	�	PROPN
ejpam-483	149	34	�	�	PROPN
ejpam-483	149	35	�	�	PROPN
ejpam-483	149	36	α(a−	α(a−	SYM
ejpam-483	149	37	b	b	NOUN
ejpam-483	149	38	)	)	PUNCT
ejpam-483	149	39	b	b	NOUN
ejpam-483	149	40	+	+	CCONJ
ejpam-483	149	41	1	1	NUM
ejpam-483	149	42	�	�	PROPN
ejpam-483	149	43	�	�	PROPN
ejpam-483	149	44	�	�	PROPN
ejpam-483	149	45	�	�	NOUN
ejpam-483	149	46	≤	≤	NOUN
ejpam-483	149	47	1	1	NUM
ejpam-483	149	48	.	.	PUNCT
ejpam-483	150	1	let	let	VERB
ejpam-483	150	2	g	g	PROPN
ejpam-483	150	3	∈	∈	PROPN
ejpam-483	150	4	a	a	PRON
ejpam-483	150	5	,	,	PUNCT
ejpam-483	150	6	and	and	CCONJ
ejpam-483	150	7	for	for	ADP
ejpam-483	150	8	all	all	DET
ejpam-483	150	9	functions	function	NOUN
ejpam-483	150	10	f	f	PROPN
ejpam-483	150	11	∈a	∈a	VERB
ejpam-483	150	12	with	with	ADP
ejpam-483	150	13	(	(	PUNCT
ejpam-483	150	14	f	f	PROPN
ejpam-483	150	15	∗	∗	NOUN
ejpam-483	150	16	g)(z	g)(z	PUNCT
ejpam-483	150	17	)	)	PUNCT
ejpam-483	150	18	6=	6=	ADP
ejpam-483	150	19	0	0	NUM
ejpam-483	150	20	,	,	PUNCT
ejpam-483	150	21	z	z	PROPN
ejpam-483	150	22	∈	∈	PROPN
ejpam-483	150	23	u̇	u̇	PROPN
ejpam-483	150	24	,	,	PUNCT
ejpam-483	150	25	suppose	suppose	VERB
ejpam-483	150	26	that	that	SCONJ
ejpam-483	150	27	1+α	1+α	NUM
ejpam-483	150	28	�	�	PROPN
ejpam-483	150	29	z	z	PROPN
ejpam-483	150	30	(	(	PUNCT
ejpam-483	150	31	f	f	PROPN
ejpam-483	150	32	∗	∗	NOUN
ejpam-483	150	33	g)′(z	g)′(z	NOUN
ejpam-483	150	34	)	)	PUNCT
ejpam-483	150	35	(	(	PUNCT
ejpam-483	150	36	f	f	PROPN
ejpam-483	150	37	∗	∗	PROPN
ejpam-483	150	38	g)(z	g)(z	PUNCT
ejpam-483	150	39	)	)	PUNCT
ejpam-483	150	40	−	−	PROPN
ejpam-483	150	41	1	1	NUM
ejpam-483	150	42	�	�	PROPN
ejpam-483	150	43	≺	≺	NOUN
ejpam-483	150	44	1	1	NUM
ejpam-483	150	45	+	+	CCONJ
ejpam-483	150	46	[	[	X
ejpam-483	150	47	b+α(a−	b+α(a−	PROPN
ejpam-483	150	48	b	b	PROPN
ejpam-483	150	49	)	)	PUNCT
ejpam-483	150	50	]	]	PUNCT
ejpam-483	151	1	z	z	NOUN
ejpam-483	151	2	1	1	NUM
ejpam-483	151	3	+	+	CCONJ
ejpam-483	151	4	bz	bz	PROPN
ejpam-483	151	5	.	.	PUNCT
ejpam-483	152	1	(	(	PUNCT
ejpam-483	152	2	25	25	NUM
ejpam-483	152	3	)	)	PUNCT
ejpam-483	152	4	then	then	ADV
ejpam-483	152	5	,	,	PUNCT
ejpam-483	152	6	�	�	PROPN
ejpam-483	152	7	(	(	PUNCT
ejpam-483	152	8	f	f	PROPN
ejpam-483	152	9	∗	∗	PROPN
ejpam-483	152	10	g)(z	g)(z	PROPN
ejpam-483	152	11	)	)	PUNCT
ejpam-483	152	12	z	z	PROPN
ejpam-483	152	13	�	�	PROPN
ejpam-483	152	14	α	α	NOUN
ejpam-483	152	15	≺	≺	NOUN
ejpam-483	152	16	(	(	PUNCT
ejpam-483	152	17	1	1	NUM
ejpam-483	152	18	+	+	NUM
ejpam-483	152	19	bz)α(a−b)/b	bz)α(a−b)/b	NOUN
ejpam-483	152	20	,	,	PUNCT
ejpam-483	152	21	and	and	CCONJ
ejpam-483	152	22	(	(	PUNCT
ejpam-483	152	23	1	1	NUM
ejpam-483	152	24	+	+	NUM
ejpam-483	152	25	bz)α(a−b)/b	bz)α(a−b)/b	PROPN
ejpam-483	152	26	is	be	AUX
ejpam-483	152	27	the	the	DET
ejpam-483	152	28	best	good	ADJ
ejpam-483	152	29	dominant	dominant	NOUN
ejpam-483	152	30	of	of	ADP
ejpam-483	152	31	(	(	PUNCT
ejpam-483	152	32	25	25	NUM
ejpam-483	152	33	)	)	PUNCT
ejpam-483	152	34	.	.	PUNCT
ejpam-483	153	1	(	(	PUNCT
ejpam-483	153	2	the	the	DET
ejpam-483	153	3	power	power	NOUN
ejpam-483	153	4	is	be	AUX
ejpam-483	153	5	the	the	DET
ejpam-483	153	6	principal	principal	ADJ
ejpam-483	153	7	one	one	NOUN
ejpam-483	153	8	)	)	PUNCT
ejpam-483	153	9	taking	take	VERB
ejpam-483	153	10	γ	γ	X
ejpam-483	153	11	=	=	SYM
ejpam-483	153	12	1	1	NUM
ejpam-483	153	13	/	/	SYM
ejpam-483	153	14	ab	ab	PROPN
ejpam-483	153	15	,	,	PUNCT
ejpam-483	153	16	(	(	PUNCT
ejpam-483	153	17	a	a	PRON
ejpam-483	153	18	,	,	PUNCT
ejpam-483	153	19	b	b	PROPN
ejpam-483	153	20	∈	∈	PROPN
ejpam-483	153	21	c∗	c∗	NOUN
ejpam-483	153	22	)	)	PUNCT
ejpam-483	153	23	,	,	PUNCT
ejpam-483	153	24	α	α	X
ejpam-483	153	25	=	=	PUNCT
ejpam-483	153	26	a	a	PRON
ejpam-483	153	27	and	and	CCONJ
ejpam-483	153	28	q(z	q(z	PROPN
ejpam-483	153	29	)	)	PUNCT
ejpam-483	153	30	=	=	PUNCT
ejpam-483	153	31	(	(	PUNCT
ejpam-483	153	32	1−	1−	NUM
ejpam-483	153	33	z)−2ab	z)−2ab	X
ejpam-483	153	34	in	in	ADP
ejpam-483	153	35	theorem	theorem	NOUN
ejpam-483	153	36	2	2	NUM
ejpam-483	153	37	and	and	CCONJ
ejpam-483	153	38	combining	combine	VERB
ejpam-483	153	39	this	this	PRON
ejpam-483	153	40	together	together	ADV
ejpam-483	153	41	with	with	ADP
ejpam-483	153	42	lemma	lemma	PROPN
ejpam-483	153	43	4	4	NUM
ejpam-483	153	44	,	,	PUNCT
ejpam-483	153	45	we	we	PRON
ejpam-483	153	46	obtain	obtain	VERB
ejpam-483	153	47	the	the	DET
ejpam-483	153	48	next	next	ADJ
ejpam-483	153	49	corollary	corollary	NOUN
ejpam-483	153	50	:	:	PUNCT
ejpam-483	153	51	corollary	corollary	ADJ
ejpam-483	153	52	6	6	NUM
ejpam-483	153	53	.	.	PUNCT
ejpam-483	154	1	let	let	VERB
ejpam-483	154	2	a	a	DET
ejpam-483	154	3	,	,	PUNCT
ejpam-483	154	4	b	b	PROPN
ejpam-483	154	5	∈	∈	PROPN
ejpam-483	154	6	c∗	c∗	NOUN
ejpam-483	154	7	such	such	ADJ
ejpam-483	154	8	that	that	SCONJ
ejpam-483	154	9	|2ab−	|2ab−	PRON
ejpam-483	155	1	1|	1|	NUM
ejpam-483	155	2	≤	≤	NUM
ejpam-483	155	3	1	1	NUM
ejpam-483	155	4	or	or	CCONJ
ejpam-483	155	5	|2ab+	|2ab+	PROPN
ejpam-483	155	6	1|	1|	NUM
ejpam-483	155	7	≤	≤	NUM
ejpam-483	155	8	1	1	NUM
ejpam-483	155	9	.	.	PUNCT
ejpam-483	156	1	let	let	VERB
ejpam-483	156	2	g	g	PROPN
ejpam-483	156	3	∈	∈	PROPN
ejpam-483	156	4	a	a	PRON
ejpam-483	156	5	,	,	PUNCT
ejpam-483	156	6	and	and	CCONJ
ejpam-483	156	7	for	for	ADP
ejpam-483	156	8	all	all	DET
ejpam-483	156	9	functions	function	NOUN
ejpam-483	156	10	f	f	PROPN
ejpam-483	156	11	∈a	∈a	VERB
ejpam-483	156	12	with	with	ADP
ejpam-483	156	13	(	(	PUNCT
ejpam-483	156	14	f	f	PROPN
ejpam-483	156	15	∗	∗	NOUN
ejpam-483	156	16	g)(z	g)(z	PUNCT
ejpam-483	156	17	)	)	PUNCT
ejpam-483	156	18	6=	6=	ADP
ejpam-483	156	19	0	0	NUM
ejpam-483	156	20	,	,	PUNCT
ejpam-483	156	21	z	z	PROPN
ejpam-483	156	22	∈	∈	PROPN
ejpam-483	156	23	u̇	u̇	PROPN
ejpam-483	156	24	,	,	PUNCT
ejpam-483	156	25	suppose	suppose	VERB
ejpam-483	156	26	that	that	SCONJ
ejpam-483	156	27	1	1	NUM
ejpam-483	156	28	+	+	SYM
ejpam-483	156	29	1	1	NUM
ejpam-483	156	30	b	b	PROPN
ejpam-483	156	31	�	�	PROPN
ejpam-483	156	32	z	z	PROPN
ejpam-483	156	33	(	(	PUNCT
ejpam-483	156	34	f	f	PROPN
ejpam-483	156	35	∗	∗	NOUN
ejpam-483	156	36	g)′(z	g)′(z	NOUN
ejpam-483	156	37	)	)	PUNCT
ejpam-483	156	38	(	(	PUNCT
ejpam-483	156	39	f	f	PROPN
ejpam-483	156	40	∗	∗	PROPN
ejpam-483	156	41	g)(z	g)(z	PUNCT
ejpam-483	156	42	)	)	PUNCT
ejpam-483	156	43	−	−	PROPN
ejpam-483	156	44	1	1	NUM
ejpam-483	156	45	�	�	PROPN
ejpam-483	156	46	≺	≺	NOUN
ejpam-483	156	47	1	1	NUM
ejpam-483	156	48	+	+	NUM
ejpam-483	156	49	z	z	NOUN
ejpam-483	156	50	1−	1−	NUM
ejpam-483	156	51	z	z	NOUN
ejpam-483	156	52	.	.	PUNCT
ejpam-483	157	1	(	(	PUNCT
ejpam-483	157	2	26	26	NUM
ejpam-483	157	3	)	)	PUNCT
ejpam-483	157	4	then	then	ADV
ejpam-483	157	5	,	,	PUNCT
ejpam-483	157	6	�	�	PROPN
ejpam-483	157	7	(	(	PUNCT
ejpam-483	157	8	f	f	PROPN
ejpam-483	157	9	∗	∗	PROPN
ejpam-483	157	10	g)(z	g)(z	PROPN
ejpam-483	157	11	)	)	PUNCT
ejpam-483	157	12	z	z	PROPN
ejpam-483	157	13	�	�	PROPN
ejpam-483	157	14	a	a	DET
ejpam-483	157	15	≺	≺	NOUN
ejpam-483	157	16	(	(	PUNCT
ejpam-483	157	17	1−	1−	NUM
ejpam-483	157	18	z)−2ab	z)−2ab	X
ejpam-483	157	19	,	,	PUNCT
ejpam-483	157	20	and	and	CCONJ
ejpam-483	157	21	(	(	PUNCT
ejpam-483	157	22	1−	1−	NUM
ejpam-483	157	23	z)−2ab	z)−2ab	NOUN
ejpam-483	157	24	is	be	AUX
ejpam-483	157	25	the	the	DET
ejpam-483	157	26	best	good	ADJ
ejpam-483	157	27	dominant	dominant	NOUN
ejpam-483	157	28	of	of	ADP
ejpam-483	157	29	(	(	PUNCT
ejpam-483	157	30	26	26	NUM
ejpam-483	157	31	)	)	PUNCT
ejpam-483	157	32	.	.	PUNCT
ejpam-483	158	1	(	(	PUNCT
ejpam-483	158	2	the	the	DET
ejpam-483	158	3	power	power	NOUN
ejpam-483	158	4	is	be	AUX
ejpam-483	158	5	the	the	DET
ejpam-483	158	6	principal	principal	ADJ
ejpam-483	158	7	one	one	NUM
ejpam-483	158	8	)	)	PUNCT
ejpam-483	158	9	a.	a.	PROPN
ejpam-483	158	10	mostafa	mostafa	PROPN
ejpam-483	158	11	,	,	PUNCT
ejpam-483	158	12	t.	t.	PROPN
ejpam-483	158	13	bulboacă	bulboacă	NOUN
ejpam-483	158	14	,	,	PUNCT
ejpam-483	158	15	and	and	CCONJ
ejpam-483	158	16	m.	m.	PROPN
ejpam-483	158	17	aouf	aouf	PROPN
ejpam-483	158	18	/	/	SYM
ejpam-483	158	19	eur	eur	PROPN
ejpam-483	158	20	.	.	PUNCT
ejpam-483	159	1	j.	j.	PROPN
ejpam-483	159	2	pure	pure	PROPN
ejpam-483	159	3	appl	appl	PROPN
ejpam-483	159	4	.	.	PROPN
ejpam-483	159	5	math	math	PROPN
ejpam-483	159	6	,	,	PUNCT
ejpam-483	159	7	3	3	NUM
ejpam-483	159	8	(	(	PUNCT
ejpam-483	159	9	2010	2010	NUM
ejpam-483	159	10	)	)	PUNCT
ejpam-483	159	11	,	,	PUNCT
ejpam-483	159	12	1	1	NUM
ejpam-483	159	13	-	-	SYM
ejpam-483	159	14	12	12	NUM
ejpam-483	159	15	9	9	NUM
ejpam-483	159	16	remark	remark	NOUN
ejpam-483	159	17	3	3	NUM
ejpam-483	159	18	.	.	PUNCT
ejpam-483	160	1	(	(	PUNCT
ejpam-483	160	2	i	i	NOUN
ejpam-483	160	3	)	)	PUNCT
ejpam-483	160	4	taking	take	VERB
ejpam-483	160	5	g(z	g(z	NOUN
ejpam-483	160	6	)	)	PUNCT
ejpam-483	160	7	=	=	SYM
ejpam-483	160	8	z/(1−	z/(1−	PROPN
ejpam-483	160	9	z	z	NOUN
ejpam-483	160	10	)	)	PUNCT
ejpam-483	160	11	in	in	ADP
ejpam-483	160	12	corollary	corollary	ADJ
ejpam-483	160	13	6	6	NUM
ejpam-483	160	14	,	,	PUNCT
ejpam-483	160	15	we	we	PRON
ejpam-483	160	16	obtain	obtain	VERB
ejpam-483	160	17	the	the	DET
ejpam-483	160	18	result	result	NOUN
ejpam-483	160	19	of	of	ADP
ejpam-483	160	20	obradovíc	obradovíc	PROPN
ejpam-483	160	21	et	et	NOUN
ejpam-483	160	22	al	al	PROPN
ejpam-483	160	23	.	.	PUNCT
ejpam-483	161	1	[	[	X
ejpam-483	161	2	16	16	NUM
ejpam-483	161	3	,	,	PUNCT
ejpam-483	161	4	theorem	theorem	VERB
ejpam-483	161	5	1	1	NUM
ejpam-483	161	6	]	]	PUNCT
ejpam-483	161	7	.	.	PUNCT
ejpam-483	162	1	(	(	PUNCT
ejpam-483	162	2	ii	ii	NOUN
ejpam-483	162	3	)	)	PUNCT
ejpam-483	162	4	for	for	ADP
ejpam-483	162	5	g(z	g(z	PROPN
ejpam-483	162	6	)	)	PUNCT
ejpam-483	163	1	=	=	SYM
ejpam-483	163	2	z/(1−	z/(1−	PROPN
ejpam-483	163	3	z	z	NOUN
ejpam-483	163	4	)	)	PUNCT
ejpam-483	163	5	and	and	CCONJ
ejpam-483	163	6	a	a	DET
ejpam-483	163	7	=	=	SYM
ejpam-483	163	8	1	1	NUM
ejpam-483	163	9	,	,	PUNCT
ejpam-483	163	10	corollary	corollary	ADJ
ejpam-483	163	11	6	6	NUM
ejpam-483	163	12	reduces	reduce	VERB
ejpam-483	163	13	to	to	ADP
ejpam-483	163	14	the	the	DET
ejpam-483	163	15	recent	recent	ADJ
ejpam-483	163	16	result	result	NOUN
ejpam-483	163	17	of	of	ADP
ejpam-483	163	18	srivastava	srivastava	PROPN
ejpam-483	163	19	and	and	CCONJ
ejpam-483	163	20	lashin	lashin	ADJ
ejpam-483	164	1	[	[	X
ejpam-483	164	2	22	22	NUM
ejpam-483	164	3	,	,	PUNCT
ejpam-483	164	4	theorem	theorem	VERB
ejpam-483	164	5	3	3	NUM
ejpam-483	164	6	]	]	PUNCT
ejpam-483	164	7	.	.	PUNCT
ejpam-483	165	1	(	(	PUNCT
ejpam-483	165	2	iii	iii	X
ejpam-483	165	3	)	)	PUNCT
ejpam-483	165	4	the	the	DET
ejpam-483	165	5	special	special	ADJ
ejpam-483	165	6	case	case	NOUN
ejpam-483	165	7	of	of	ADP
ejpam-483	165	8	corollary	corollary	ADJ
ejpam-483	165	9	6	6	NUM
ejpam-483	165	10	,	,	PUNCT
ejpam-483	165	11	when	when	SCONJ
ejpam-483	165	12	g(z	g(z	ADJ
ejpam-483	165	13	)	)	PUNCT
ejpam-483	165	14	=	=	SYM
ejpam-483	165	15	z/(1−z	z/(1−z	PROPN
ejpam-483	165	16	)	)	PUNCT
ejpam-483	165	17	,	,	PUNCT
ejpam-483	165	18	γ=	γ=	PROPN
ejpam-483	165	19	eiλ/(ab	eiλ/(ab	PROPN
ejpam-483	165	20	cosλ	cosλ	PROPN
ejpam-483	165	21	)	)	PUNCT
ejpam-483	165	22	(	(	PUNCT
ejpam-483	165	23	a	a	PRON
ejpam-483	165	24	,	,	PUNCT
ejpam-483	165	25	b	b	PROPN
ejpam-483	165	26	∈	∈	PROPN
ejpam-483	165	27	c∗	c∗	NOUN
ejpam-483	165	28	,	,	PUNCT
ejpam-483	165	29	|λ|	|λ|	X
ejpam-483	165	30	<	<	X
ejpam-483	165	31	π/2	π/2	NUM
ejpam-483	165	32	)	)	PUNCT
ejpam-483	165	33	,	,	PUNCT
ejpam-483	165	34	and	and	CCONJ
ejpam-483	165	35	q(z	q(z	PROPN
ejpam-483	165	36	)	)	PUNCT
ejpam-483	165	37	=	=	PUNCT
ejpam-483	165	38	(	(	PUNCT
ejpam-483	165	39	1−	1−	NUM
ejpam-483	165	40	z)−2ab	z)−2ab	X
ejpam-483	165	41	cosλe−iλ	cosλe−iλ	NOUN
ejpam-483	165	42	,	,	PUNCT
ejpam-483	165	43	is	be	AUX
ejpam-483	165	44	due	due	ADJ
ejpam-483	165	45	to	to	ADP
ejpam-483	165	46	aouf	aouf	PROPN
ejpam-483	165	47	et	et	PROPN
ejpam-483	165	48	al	al	PROPN
ejpam-483	165	49	.	.	PUNCT
ejpam-483	166	1	[	[	X
ejpam-483	166	2	3	3	NUM
ejpam-483	166	3	,	,	PUNCT
ejpam-483	166	4	theorem	theorem	VERB
ejpam-483	166	5	1	1	NUM
ejpam-483	166	6	]	]	PUNCT
ejpam-483	166	7	.	.	PUNCT
ejpam-483	167	1	theorem	theorem	NOUN
ejpam-483	167	2	3	3	X
ejpam-483	167	3	.	.	PUNCT
ejpam-483	168	1	let	let	VERB
ejpam-483	168	2	q	q	NOUN
ejpam-483	168	3	be	be	AUX
ejpam-483	168	4	convex	convex	ADJ
ejpam-483	168	5	in	in	ADP
ejpam-483	168	6	u	u	NOUN
ejpam-483	168	7	,	,	PUNCT
ejpam-483	168	8	and	and	CCONJ
ejpam-483	168	9	let	let	VERB
ejpam-483	168	10	α	α	NUM
ejpam-483	168	11	,	,	PUNCT
ejpam-483	168	12	η	η	PROPN
ejpam-483	168	13	∈	∈	PROPN
ejpam-483	168	14	c∗	c∗	PROPN
ejpam-483	168	15	with	with	ADP
ejpam-483	168	16	re	re	PROPN
ejpam-483	168	17	α	α	PROPN
ejpam-483	168	18	η	η	PROPN
ejpam-483	168	19	>	>	X
ejpam-483	168	20	0	0	PROPN
ejpam-483	168	21	.	.	PUNCT
ejpam-483	169	1	(	(	PUNCT
ejpam-483	169	2	27	27	NUM
ejpam-483	169	3	)	)	PUNCT
ejpam-483	169	4	let	let	VERB
ejpam-483	169	5	g	g	PROPN
ejpam-483	169	6	∈	∈	PROPN
ejpam-483	169	7	a	a	PRON
ejpam-483	169	8	,	,	PUNCT
ejpam-483	169	9	and	and	CCONJ
ejpam-483	169	10	for	for	ADP
ejpam-483	169	11	all	all	DET
ejpam-483	169	12	functions	function	NOUN
ejpam-483	169	13	f	f	PROPN
ejpam-483	169	14	∈	∈	PROPN
ejpam-483	169	15	a	a	DET
ejpam-483	169	16	with	with	ADP
ejpam-483	169	17	(	(	PUNCT
ejpam-483	169	18	f	f	PROPN
ejpam-483	169	19	∗	∗	NOUN
ejpam-483	169	20	g)(z	g)(z	PUNCT
ejpam-483	169	21	)	)	PUNCT
ejpam-483	169	22	6=	6=	ADP
ejpam-483	169	23	0	0	NUM
ejpam-483	169	24	,	,	PUNCT
ejpam-483	169	25	z	z	PROPN
ejpam-483	169	26	∈	∈	PROPN
ejpam-483	169	27	u̇	u̇	PROPN
ejpam-483	169	28	,	,	PUNCT
ejpam-483	169	29	suppose	suppose	VERB
ejpam-483	169	30	that	that	SCONJ
ejpam-483	169	31	�	�	PROPN
ejpam-483	169	32	(	(	PUNCT
ejpam-483	169	33	f	f	PROPN
ejpam-483	169	34	∗	∗	PROPN
ejpam-483	169	35	g)(z	g)(z	PROPN
ejpam-483	169	36	)	)	PUNCT
ejpam-483	169	37	z	z	PROPN
ejpam-483	169	38	�	�	PROPN
ejpam-483	169	39	α	α	PROPN
ejpam-483	169	40	∈	∈	PROPN
ejpam-483	169	41	h[q(0	h[q(0	PROPN
ejpam-483	169	42	)	)	PUNCT
ejpam-483	169	43	,	,	PUNCT
ejpam-483	169	44	1	1	X
ejpam-483	169	45	]	]	PUNCT
ejpam-483	169	46	∩	∩	ADJ
ejpam-483	169	47	q	q	NOUN
ejpam-483	169	48	,	,	PUNCT
ejpam-483	169	49	and	and	CCONJ
ejpam-483	169	50	that	that	SCONJ
ejpam-483	169	51	χg(α	χg(α	NOUN
ejpam-483	169	52	,	,	PUNCT
ejpam-483	169	53	η	η	NOUN
ejpam-483	169	54	;	;	PUNCT
ejpam-483	169	55	f	f	X
ejpam-483	169	56	)	)	PUNCT
ejpam-483	169	57	is	be	AUX
ejpam-483	169	58	univalent	univalent	ADJ
ejpam-483	169	59	in	in	ADP
ejpam-483	169	60	u	u	NOUN
ejpam-483	169	61	,	,	PUNCT
ejpam-483	169	62	where	where	SCONJ
ejpam-483	169	63	χg(α	χg(α	X
ejpam-483	169	64	,	,	PUNCT
ejpam-483	169	65	η	η	NOUN
ejpam-483	169	66	;	;	PUNCT
ejpam-483	169	67	f	f	X
ejpam-483	169	68	)	)	PUNCT
ejpam-483	169	69	is	be	AUX
ejpam-483	169	70	given	give	VERB
ejpam-483	169	71	by	by	ADP
ejpam-483	169	72	(	(	PUNCT
ejpam-483	169	73	9	9	NUM
ejpam-483	169	74	)	)	PUNCT
ejpam-483	169	75	.	.	PUNCT
ejpam-483	170	1	then	then	ADV
ejpam-483	170	2	,	,	PUNCT
ejpam-483	170	3	q(z	q(z	PROPN
ejpam-483	170	4	)	)	PUNCT
ejpam-483	170	5	+	+	CCONJ
ejpam-483	170	6	η	η	PROPN
ejpam-483	170	7	α	α	PROPN
ejpam-483	170	8	zq′(z)≺	zq′(z)≺	PROPN
ejpam-483	170	9	χg(α	χg(α	X
ejpam-483	170	10	,	,	PUNCT
ejpam-483	170	11	η	η	NOUN
ejpam-483	170	12	;	;	PUNCT
ejpam-483	170	13	f	f	X
ejpam-483	170	14	)	)	PUNCT
ejpam-483	170	15	(	(	PUNCT
ejpam-483	170	16	z	z	NOUN
ejpam-483	170	17	)	)	PUNCT
ejpam-483	170	18	,	,	PUNCT
ejpam-483	170	19	(	(	PUNCT
ejpam-483	170	20	28	28	NUM
ejpam-483	170	21	)	)	PUNCT
ejpam-483	170	22	implies	imply	VERB
ejpam-483	170	23	q(z	q(z	PROPN
ejpam-483	170	24	)	)	PUNCT
ejpam-483	170	25	≺	≺	NOUN
ejpam-483	170	26	�	�	PROPN
ejpam-483	170	27	(	(	PUNCT
ejpam-483	170	28	f	f	PROPN
ejpam-483	170	29	∗	∗	PROPN
ejpam-483	170	30	g)(z	g)(z	PROPN
ejpam-483	170	31	)	)	PUNCT
ejpam-483	170	32	z	z	PROPN
ejpam-483	170	33	�	�	PROPN
ejpam-483	170	34	α	α	NOUN
ejpam-483	170	35	,	,	PUNCT
ejpam-483	170	36	and	and	CCONJ
ejpam-483	170	37	q	q	NOUN
ejpam-483	170	38	is	be	AUX
ejpam-483	170	39	the	the	DET
ejpam-483	170	40	best	good	ADJ
ejpam-483	170	41	subordinant	subordinant	NOUN
ejpam-483	170	42	of	of	ADP
ejpam-483	170	43	(	(	PUNCT
ejpam-483	170	44	28	28	NUM
ejpam-483	170	45	)	)	PUNCT
ejpam-483	170	46	.	.	PUNCT
ejpam-483	171	1	(	(	PUNCT
ejpam-483	171	2	all	all	DET
ejpam-483	171	3	the	the	DET
ejpam-483	171	4	powers	power	NOUN
ejpam-483	171	5	are	be	AUX
ejpam-483	171	6	the	the	DET
ejpam-483	171	7	principal	principal	ADJ
ejpam-483	171	8	ones	one	NOUN
ejpam-483	171	9	)	)	PUNCT
ejpam-483	171	10	proof	proof	NOUN
ejpam-483	171	11	.	.	PUNCT
ejpam-483	172	1	if	if	SCONJ
ejpam-483	172	2	we	we	PRON
ejpam-483	172	3	let	let	VERB
ejpam-483	172	4	the	the	DET
ejpam-483	172	5	function	function	NOUN
ejpam-483	172	6	ψ	ψ	PART
ejpam-483	172	7	be	be	AUX
ejpam-483	172	8	given	give	VERB
ejpam-483	172	9	by	by	ADP
ejpam-483	172	10	(	(	PUNCT
ejpam-483	172	11	11	11	NUM
ejpam-483	172	12	)	)	PUNCT
ejpam-483	172	13	,	,	PUNCT
ejpam-483	172	14	a	a	DET
ejpam-483	172	15	simple	simple	ADJ
ejpam-483	172	16	computation	computation	NOUN
ejpam-483	172	17	shows	show	VERB
ejpam-483	172	18	that	that	SCONJ
ejpam-483	172	19	ψ(z	ψ(z	PROPN
ejpam-483	172	20	)	)	PUNCT
ejpam-483	172	21	+	+	CCONJ
ejpam-483	172	22	η	η	PROPN
ejpam-483	172	23	α	α	PROPN
ejpam-483	172	24	zψ′(z	zψ′(z	PROPN
ejpam-483	172	25	)	)	PUNCT
ejpam-483	172	26	=	=	SYM
ejpam-483	172	27	χg(α	χg(α	NOUN
ejpam-483	172	28	,	,	PUNCT
ejpam-483	172	29	η	η	NOUN
ejpam-483	172	30	;	;	PUNCT
ejpam-483	172	31	f	f	X
ejpam-483	172	32	)	)	PUNCT
ejpam-483	172	33	(	(	PUNCT
ejpam-483	172	34	z	z	NOUN
ejpam-483	172	35	)	)	PUNCT
ejpam-483	172	36	.	.	PUNCT
ejpam-483	173	1	setting	set	VERB
ejpam-483	173	2	θ(w	θ(w	NOUN
ejpam-483	173	3	)	)	PUNCT
ejpam-483	173	4	=	=	SYM
ejpam-483	173	5	w	w	PROPN
ejpam-483	173	6	and	and	CCONJ
ejpam-483	173	7	ϕ(w	ϕ(w	PROPN
ejpam-483	173	8	)	)	PUNCT
ejpam-483	173	9	=	=	SYM
ejpam-483	173	10	η	η	PROPN
ejpam-483	173	11	/	/	SYM
ejpam-483	173	12	α	α	PROPN
ejpam-483	173	13	,	,	PUNCT
ejpam-483	173	14	then	then	ADV
ejpam-483	173	15	θ	θ	PROPN
ejpam-483	173	16	and	and	CCONJ
ejpam-483	173	17	ϕ	ϕ	PROPN
ejpam-483	173	18	are	be	AUX
ejpam-483	173	19	analytic	analytic	ADJ
ejpam-483	173	20	in	in	ADP
ejpam-483	173	21	c	c	NOUN
ejpam-483	173	22	,	,	PUNCT
ejpam-483	173	23	and	and	CCONJ
ejpam-483	173	24	from	from	ADP
ejpam-483	173	25	(	(	PUNCT
ejpam-483	173	26	27	27	NUM
ejpam-483	173	27	)	)	PUNCT
ejpam-483	173	28	we	we	PRON
ejpam-483	173	29	have	have	AUX
ejpam-483	173	30	re	re	VERB
ejpam-483	173	31	θ	θ	PROPN
ejpam-483	173	32	′(q(z	′(q(z	NOUN
ejpam-483	173	33	)	)	PUNCT
ejpam-483	173	34	)	)	PUNCT
ejpam-483	174	1	ϕ(q(z	ϕ(q(z	PROPN
ejpam-483	174	2	)	)	PUNCT
ejpam-483	174	3	)	)	PUNCT
ejpam-483	175	1	=	=	PUNCT
ejpam-483	175	2	re	re	PRON
ejpam-483	175	3	α	α	PROPN
ejpam-483	175	4	η	η	PROPN
ejpam-483	175	5	>	>	X
ejpam-483	175	6	0	0	PROPN
ejpam-483	175	7	,	,	PUNCT
ejpam-483	175	8	z	z	PROPN
ejpam-483	175	9	∈	∈	PROPN
ejpam-483	175	10	u.	u.	NOUN
ejpam-483	175	11	since	since	SCONJ
ejpam-483	175	12	q	q	PROPN
ejpam-483	175	13	is	be	AUX
ejpam-483	175	14	a	a	DET
ejpam-483	175	15	convex	convex	NOUN
ejpam-483	175	16	function	function	NOUN
ejpam-483	175	17	,	,	PUNCT
ejpam-483	175	18	it	it	PRON
ejpam-483	175	19	follows	follow	VERB
ejpam-483	175	20	that	that	SCONJ
ejpam-483	175	21	h(z	h(z	NOUN
ejpam-483	175	22	)	)	PUNCT
ejpam-483	175	23	=	=	SYM
ejpam-483	175	24	zq′(z)ϕ(q(z	zq′(z)ϕ(q(z	NUM
ejpam-483	175	25	)	)	PUNCT
ejpam-483	175	26	)	)	PUNCT
ejpam-483	176	1	=	=	SYM
ejpam-483	176	2	�	�	PROPN
ejpam-483	176	3	ηzq′(z	ηzq′(z	VERB
ejpam-483	176	4	)	)	PUNCT
ejpam-483	176	5	�	�	PROPN
ejpam-483	176	6	/α	/α	PUNCT
ejpam-483	176	7	is	be	AUX
ejpam-483	176	8	starlike	starlike	NOUN
ejpam-483	176	9	in	in	ADP
ejpam-483	176	10	u	u	NOUN
ejpam-483	176	11	,	,	PUNCT
ejpam-483	176	12	and	and	CCONJ
ejpam-483	176	13	using	use	VERB
ejpam-483	176	14	lemma	lemma	PROPN
ejpam-483	176	15	3	3	NUM
ejpam-483	176	16	we	we	PRON
ejpam-483	176	17	obtain	obtain	VERB
ejpam-483	176	18	our	our	PRON
ejpam-483	176	19	result	result	NOUN
ejpam-483	176	20	.	.	PUNCT
ejpam-483	177	1	letting	let	VERB
ejpam-483	177	2	g	g	NOUN
ejpam-483	177	3	be	be	AUX
ejpam-483	177	4	of	of	ADP
ejpam-483	177	5	the	the	DET
ejpam-483	177	6	form	form	NOUN
ejpam-483	177	7	(	(	PUNCT
ejpam-483	177	8	3	3	NUM
ejpam-483	177	9	)	)	PUNCT
ejpam-483	177	10	in	in	ADP
ejpam-483	177	11	theorem	theorem	NOUN
ejpam-483	177	12	3	3	NUM
ejpam-483	177	13	and	and	CCONJ
ejpam-483	177	14	using	use	VERB
ejpam-483	177	15	the	the	DET
ejpam-483	177	16	identity	identity	NOUN
ejpam-483	177	17	(	(	PUNCT
ejpam-483	177	18	15	15	NUM
ejpam-483	177	19	)	)	PUNCT
ejpam-483	177	20	,	,	PUNCT
ejpam-483	177	21	we	we	PRON
ejpam-483	177	22	get	get	VERB
ejpam-483	177	23	the	the	DET
ejpam-483	177	24	following	following	ADJ
ejpam-483	177	25	result	result	NOUN
ejpam-483	177	26	obtained	obtain	VERB
ejpam-483	177	27	by	by	ADP
ejpam-483	177	28	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-483	177	29	and	and	CCONJ
ejpam-483	177	30	magesh	magesh	ADJ
ejpam-483	177	31	[	[	X
ejpam-483	177	32	15	15	NUM
ejpam-483	177	33	,	,	PUNCT
ejpam-483	177	34	theorem	theorem	VERB
ejpam-483	177	35	3.9	3.9	NUM
ejpam-483	177	36	]	]	PUNCT
ejpam-483	177	37	:	:	PUNCT
ejpam-483	177	38	corollary	corollary	ADJ
ejpam-483	177	39	7	7	X
ejpam-483	177	40	.	.	PUNCT
ejpam-483	178	1	let	let	VERB
ejpam-483	178	2	q	q	NOUN
ejpam-483	178	3	be	be	AUX
ejpam-483	178	4	convex	convex	ADJ
ejpam-483	178	5	in	in	ADP
ejpam-483	178	6	u	u	NOUN
ejpam-483	178	7	,	,	PUNCT
ejpam-483	178	8	and	and	CCONJ
ejpam-483	178	9	suppose	suppose	VERB
ejpam-483	178	10	that	that	SCONJ
ejpam-483	178	11	α	α	X
ejpam-483	178	12	,	,	PUNCT
ejpam-483	178	13	η	η	PROPN
ejpam-483	178	14	∈	∈	PROPN
ejpam-483	178	15	c∗	c∗	PROPN
ejpam-483	178	16	satisfies	satisfy	VERB
ejpam-483	178	17	the	the	DET
ejpam-483	178	18	condition	condition	NOUN
ejpam-483	178	19	(	(	PUNCT
ejpam-483	178	20	27	27	NUM
ejpam-483	178	21	)	)	PUNCT
ejpam-483	178	22	.	.	PUNCT
ejpam-483	179	1	for	for	ADP
ejpam-483	179	2	all	all	DET
ejpam-483	179	3	functions	function	NOUN
ejpam-483	179	4	f	f	PROPN
ejpam-483	179	5	∈	∈	PROPN
ejpam-483	179	6	a	a	PRON
ejpam-483	179	7	with	with	ADP
ejpam-483	179	8	hl	hl	NOUN
ejpam-483	179	9	,	,	PUNCT
ejpam-483	179	10	s(α1	s(α1	NOUN
ejpam-483	179	11	)	)	PUNCT
ejpam-483	179	12	f	f	PROPN
ejpam-483	179	13	(	(	PUNCT
ejpam-483	179	14	z)(z	z)(z	NUM
ejpam-483	179	15	)	)	PUNCT
ejpam-483	179	16	6=	6=	ADP
ejpam-483	179	17	0	0	NUM
ejpam-483	179	18	,	,	PUNCT
ejpam-483	179	19	z	z	PROPN
ejpam-483	179	20	∈	∈	PROPN
ejpam-483	179	21	u̇	u̇	PROPN
ejpam-483	179	22	,	,	PUNCT
ejpam-483	179	23	suppose	suppose	VERB
ejpam-483	179	24	that	that	SCONJ
ejpam-483	179	25	�	�	PROPN
ejpam-483	179	26	hl	hl	NOUN
ejpam-483	179	27	,	,	PUNCT
ejpam-483	179	28	s(α1	s(α1	NOUN
ejpam-483	179	29	)	)	PUNCT
ejpam-483	179	30	f	f	PROPN
ejpam-483	179	31	(	(	PUNCT
ejpam-483	179	32	z)(z	z)(z	NUM
ejpam-483	179	33	)	)	PUNCT
ejpam-483	179	34	z	z	NOUN
ejpam-483	179	35	�	�	PROPN
ejpam-483	179	36	α	α	PROPN
ejpam-483	179	37	∈	∈	PROPN
ejpam-483	179	38	h[q(0	h[q(0	PROPN
ejpam-483	179	39	)	)	PUNCT
ejpam-483	179	40	,	,	PUNCT
ejpam-483	179	41	1	1	X
ejpam-483	179	42	]	]	PUNCT
ejpam-483	179	43	∩	∩	ADJ
ejpam-483	179	44	q	q	NOUN
ejpam-483	179	45	,	,	PUNCT
ejpam-483	179	46	and	and	CCONJ
ejpam-483	179	47	that	that	SCONJ
ejpam-483	179	48	χ1(α1;α	χ1(α1;α	PROPN
ejpam-483	179	49	,	,	PUNCT
ejpam-483	179	50	η	η	PROPN
ejpam-483	179	51	;	;	PUNCT
ejpam-483	179	52	f	f	X
ejpam-483	179	53	)	)	PUNCT
ejpam-483	179	54	is	be	AUX
ejpam-483	179	55	univalent	univalent	ADJ
ejpam-483	179	56	in	in	ADP
ejpam-483	179	57	u	u	NOUN
ejpam-483	179	58	,	,	PUNCT
ejpam-483	179	59	where	where	SCONJ
ejpam-483	179	60	χ1(α1;α	χ1(α1;α	PROPN
ejpam-483	179	61	,	,	PUNCT
ejpam-483	179	62	η	η	PROPN
ejpam-483	179	63	;	;	PUNCT
ejpam-483	179	64	f	f	X
ejpam-483	179	65	)	)	PUNCT
ejpam-483	179	66	is	be	AUX
ejpam-483	179	67	given	give	VERB
ejpam-483	179	68	by	by	ADP
ejpam-483	179	69	(	(	PUNCT
ejpam-483	179	70	16	16	NUM
ejpam-483	179	71	)	)	PUNCT
ejpam-483	179	72	.	.	PUNCT
ejpam-483	180	1	then	then	ADV
ejpam-483	180	2	,	,	PUNCT
ejpam-483	180	3	q(z	q(z	PROPN
ejpam-483	180	4	)	)	PUNCT
ejpam-483	180	5	+	+	NUM
ejpam-483	180	6	η	η	PROPN
ejpam-483	180	7	α	α	PROPN
ejpam-483	180	8	zq′(z)≺	zq′(z)≺	PROPN
ejpam-483	180	9	χ1(α1;α	χ1(α1;α	PROPN
ejpam-483	180	10	,	,	PUNCT
ejpam-483	180	11	η	η	PROPN
ejpam-483	180	12	;	;	PUNCT
ejpam-483	180	13	f	f	X
ejpam-483	180	14	)	)	PUNCT
ejpam-483	180	15	(	(	PUNCT
ejpam-483	180	16	z	z	NOUN
ejpam-483	180	17	)	)	PUNCT
ejpam-483	180	18	,	,	PUNCT
ejpam-483	180	19	(	(	PUNCT
ejpam-483	180	20	29	29	NUM
ejpam-483	180	21	)	)	PUNCT
ejpam-483	180	22	a.	a.	PROPN
ejpam-483	180	23	mostafa	mostafa	PROPN
ejpam-483	180	24	,	,	PUNCT
ejpam-483	180	25	t.	t.	PROPN
ejpam-483	180	26	bulboacă	bulboacă	NOUN
ejpam-483	180	27	,	,	PUNCT
ejpam-483	180	28	and	and	CCONJ
ejpam-483	180	29	m.	m.	PROPN
ejpam-483	180	30	aouf	aouf	PROPN
ejpam-483	180	31	/	/	SYM
ejpam-483	180	32	eur	eur	PROPN
ejpam-483	180	33	.	.	PUNCT
ejpam-483	181	1	j.	j.	PROPN
ejpam-483	181	2	pure	pure	PROPN
ejpam-483	181	3	appl	appl	PROPN
ejpam-483	181	4	.	.	PROPN
ejpam-483	181	5	math	math	PROPN
ejpam-483	181	6	,	,	PUNCT
ejpam-483	181	7	3	3	NUM
ejpam-483	181	8	(	(	PUNCT
ejpam-483	181	9	2010	2010	NUM
ejpam-483	181	10	)	)	PUNCT
ejpam-483	181	11	,	,	PUNCT
ejpam-483	181	12	1	1	NUM
ejpam-483	181	13	-	-	SYM
ejpam-483	181	14	12	12	NUM
ejpam-483	181	15	10	10	NUM
ejpam-483	181	16	implies	imply	VERB
ejpam-483	181	17	q(z	q(z	PROPN
ejpam-483	181	18	)	)	PUNCT
ejpam-483	181	19	≺	≺	NOUN
ejpam-483	181	20	�	�	PROPN
ejpam-483	181	21	hl	hl	NOUN
ejpam-483	181	22	,	,	PUNCT
ejpam-483	181	23	s(α1	s(α1	NOUN
ejpam-483	181	24	)	)	PUNCT
ejpam-483	182	1	f	f	PROPN
ejpam-483	183	1	(	(	PUNCT
ejpam-483	183	2	z	z	NOUN
ejpam-483	183	3	)	)	PUNCT
ejpam-483	183	4	z	z	PROPN
ejpam-483	183	5	�	�	PROPN
ejpam-483	183	6	α	α	NOUN
ejpam-483	183	7	,	,	PUNCT
ejpam-483	183	8	and	and	CCONJ
ejpam-483	183	9	q	q	NOUN
ejpam-483	183	10	is	be	AUX
ejpam-483	183	11	the	the	DET
ejpam-483	183	12	best	good	ADJ
ejpam-483	183	13	subordinant	subordinant	NOUN
ejpam-483	183	14	of	of	ADP
ejpam-483	183	15	(	(	PUNCT
ejpam-483	183	16	29	29	NUM
ejpam-483	183	17	)	)	PUNCT
ejpam-483	183	18	.	.	PUNCT
ejpam-483	184	1	(	(	PUNCT
ejpam-483	184	2	all	all	DET
ejpam-483	184	3	the	the	DET
ejpam-483	184	4	powers	power	NOUN
ejpam-483	184	5	are	be	AUX
ejpam-483	184	6	the	the	DET
ejpam-483	184	7	principal	principal	ADJ
ejpam-483	184	8	ones	one	NOUN
ejpam-483	184	9	)	)	PUNCT
ejpam-483	184	10	letting	let	VERB
ejpam-483	184	11	g	g	NOUN
ejpam-483	184	12	be	be	AUX
ejpam-483	184	13	of	of	ADP
ejpam-483	184	14	the	the	DET
ejpam-483	184	15	form	form	NOUN
ejpam-483	184	16	(	(	PUNCT
ejpam-483	184	17	4	4	NUM
ejpam-483	184	18	)	)	PUNCT
ejpam-483	184	19	in	in	ADP
ejpam-483	184	20	theorem	theorem	NOUN
ejpam-483	184	21	3	3	NUM
ejpam-483	184	22	and	and	CCONJ
ejpam-483	184	23	using	use	VERB
ejpam-483	184	24	the	the	DET
ejpam-483	184	25	identity	identity	NOUN
ejpam-483	184	26	(	(	PUNCT
ejpam-483	184	27	19	19	NUM
ejpam-483	184	28	)	)	PUNCT
ejpam-483	184	29	,	,	PUNCT
ejpam-483	184	30	we	we	PRON
ejpam-483	184	31	have	have	VERB
ejpam-483	184	32	:	:	PUNCT
ejpam-483	184	33	corollary	corollary	ADJ
ejpam-483	184	34	8	8	NUM
ejpam-483	184	35	.	.	PUNCT
ejpam-483	185	1	let	let	VERB
ejpam-483	185	2	q	q	NOUN
ejpam-483	185	3	be	be	AUX
ejpam-483	185	4	convex	convex	ADJ
ejpam-483	185	5	in	in	ADP
ejpam-483	185	6	u	u	NOUN
ejpam-483	185	7	,	,	PUNCT
ejpam-483	185	8	and	and	CCONJ
ejpam-483	185	9	suppose	suppose	VERB
ejpam-483	185	10	that	that	SCONJ
ejpam-483	185	11	α	α	X
ejpam-483	185	12	,	,	PUNCT
ejpam-483	185	13	η	η	PROPN
ejpam-483	185	14	∈	∈	PROPN
ejpam-483	185	15	c∗	c∗	PROPN
ejpam-483	185	16	satisfies	satisfy	VERB
ejpam-483	185	17	the	the	DET
ejpam-483	185	18	condition	condition	NOUN
ejpam-483	185	19	(	(	PUNCT
ejpam-483	185	20	27	27	NUM
ejpam-483	185	21	)	)	PUNCT
ejpam-483	185	22	.	.	PUNCT
ejpam-483	186	1	for	for	ADP
ejpam-483	186	2	all	all	DET
ejpam-483	186	3	functions	function	NOUN
ejpam-483	186	4	f	f	PROPN
ejpam-483	186	5	∈	∈	PROPN
ejpam-483	186	6	a	a	PRON
ejpam-483	186	7	with	with	ADP
ejpam-483	186	8	i(m	i(m	NOUN
ejpam-483	186	9	,	,	PUNCT
ejpam-483	186	10	λ	λ	NOUN
ejpam-483	186	11	,	,	PUNCT
ejpam-483	186	12	l	l	NOUN
ejpam-483	186	13	)	)	PUNCT
ejpam-483	186	14	f	f	NOUN
ejpam-483	186	15	(	(	PUNCT
ejpam-483	186	16	z	z	NOUN
ejpam-483	186	17	)	)	PUNCT
ejpam-483	186	18	6=	6=	ADP
ejpam-483	186	19	0	0	NUM
ejpam-483	186	20	,	,	PUNCT
ejpam-483	186	21	z	z	PROPN
ejpam-483	186	22	∈	∈	PROPN
ejpam-483	186	23	u̇	u̇	PROPN
ejpam-483	186	24	�	�	PROPN
ejpam-483	186	25	λ	λ	PROPN
ejpam-483	186	26	>	>	X
ejpam-483	186	27	0	0	PROPN
ejpam-483	186	28	,	,	PUNCT
ejpam-483	186	29	l	l	X
ejpam-483	186	30	≥	≥	NOUN
ejpam-483	186	31	0	0	NUM
ejpam-483	186	32	,	,	PUNCT
ejpam-483	186	33	m	m	PROPN
ejpam-483	186	34	∈	∈	PROPN
ejpam-483	186	35	n0	n0	PROPN
ejpam-483	186	36	�	�	PROPN
ejpam-483	186	37	,	,	PUNCT
ejpam-483	186	38	suppose	suppose	VERB
ejpam-483	186	39	that	that	SCONJ
ejpam-483	186	40	�	�	PROPN
ejpam-483	186	41	i(m	i(m	NOUN
ejpam-483	186	42	,	,	PUNCT
ejpam-483	186	43	λ	λ	NOUN
ejpam-483	186	44	,	,	PUNCT
ejpam-483	186	45	l	l	NOUN
ejpam-483	186	46	)	)	PUNCT
ejpam-483	186	47	f	f	NOUN
ejpam-483	186	48	(	(	PUNCT
ejpam-483	186	49	z	z	NOUN
ejpam-483	186	50	)	)	PUNCT
ejpam-483	186	51	z	z	NOUN
ejpam-483	186	52	�	�	PROPN
ejpam-483	186	53	α	α	PROPN
ejpam-483	186	54	∈	∈	PROPN
ejpam-483	186	55	h[q(0	h[q(0	PROPN
ejpam-483	186	56	)	)	PUNCT
ejpam-483	186	57	,	,	PUNCT
ejpam-483	186	58	1	1	X
ejpam-483	186	59	]	]	PUNCT
ejpam-483	186	60	∩	∩	ADJ
ejpam-483	186	61	q	q	X
ejpam-483	186	62	,	,	PUNCT
ejpam-483	186	63	and	and	CCONJ
ejpam-483	186	64	that	that	SCONJ
ejpam-483	186	65	χ2(m	χ2(m	PROPN
ejpam-483	186	66	,	,	PUNCT
ejpam-483	186	67	λ	λ	PROPN
ejpam-483	186	68	,	,	PUNCT
ejpam-483	186	69	l;α	l;α	NUM
ejpam-483	186	70	,	,	PUNCT
ejpam-483	186	71	η	η	PROPN
ejpam-483	186	72	;	;	PUNCT
ejpam-483	186	73	f	f	X
ejpam-483	186	74	)	)	PUNCT
ejpam-483	186	75	is	be	AUX
ejpam-483	186	76	univalent	univalent	ADJ
ejpam-483	186	77	in	in	ADP
ejpam-483	186	78	u	u	NOUN
ejpam-483	186	79	,	,	PUNCT
ejpam-483	186	80	where	where	SCONJ
ejpam-483	186	81	χ2(m	χ2(m	PROPN
ejpam-483	186	82	,	,	PUNCT
ejpam-483	186	83	λ	λ	PROPN
ejpam-483	186	84	,	,	PUNCT
ejpam-483	186	85	l;α	l;α	NUM
ejpam-483	186	86	,	,	PUNCT
ejpam-483	186	87	η	η	PROPN
ejpam-483	186	88	;	;	PUNCT
ejpam-483	186	89	f	f	X
ejpam-483	186	90	)	)	PUNCT
ejpam-483	186	91	is	be	AUX
ejpam-483	186	92	given	give	VERB
ejpam-483	186	93	by	by	ADP
ejpam-483	186	94	(	(	PUNCT
ejpam-483	186	95	19	19	NUM
ejpam-483	186	96	)	)	PUNCT
ejpam-483	186	97	.	.	PUNCT
ejpam-483	187	1	then	then	ADV
ejpam-483	187	2	,	,	PUNCT
ejpam-483	187	3	q(z	q(z	PROPN
ejpam-483	187	4	)	)	PUNCT
ejpam-483	187	5	+	+	NUM
ejpam-483	187	6	η	η	PROPN
ejpam-483	187	7	α	α	PROPN
ejpam-483	187	8	zq′(z	zq′(z	PROPN
ejpam-483	187	9	)	)	PUNCT
ejpam-483	187	10	≺	≺	VERB
ejpam-483	187	11	χ2(m	χ2(m	SYM
ejpam-483	187	12	,	,	PUNCT
ejpam-483	187	13	λ	λ	PROPN
ejpam-483	187	14	,	,	PUNCT
ejpam-483	187	15	l;α	l;α	NUM
ejpam-483	187	16	,	,	PUNCT
ejpam-483	187	17	η	η	PROPN
ejpam-483	187	18	;	;	PUNCT
ejpam-483	187	19	f	f	X
ejpam-483	187	20	)	)	PUNCT
ejpam-483	187	21	(	(	PUNCT
ejpam-483	187	22	z	z	NOUN
ejpam-483	187	23	)	)	PUNCT
ejpam-483	187	24	,	,	PUNCT
ejpam-483	187	25	(	(	PUNCT
ejpam-483	187	26	30	30	NUM
ejpam-483	187	27	)	)	PUNCT
ejpam-483	187	28	implies	imply	VERB
ejpam-483	187	29	q(z)≺	q(z)≺	PROPN
ejpam-483	187	30	�	�	PROPN
ejpam-483	187	31	i(m	i(m	PROPN
ejpam-483	187	32	,	,	PUNCT
ejpam-483	187	33	λ	λ	NOUN
ejpam-483	187	34	,	,	PUNCT
ejpam-483	187	35	l	l	NOUN
ejpam-483	187	36	)	)	PUNCT
ejpam-483	187	37	f	f	NOUN
ejpam-483	187	38	(	(	PUNCT
ejpam-483	187	39	z	z	NOUN
ejpam-483	187	40	)	)	PUNCT
ejpam-483	187	41	z	z	PROPN
ejpam-483	187	42	�	�	PROPN
ejpam-483	187	43	α	α	NOUN
ejpam-483	187	44	,	,	PUNCT
ejpam-483	187	45	and	and	CCONJ
ejpam-483	187	46	q	q	NOUN
ejpam-483	187	47	is	be	AUX
ejpam-483	187	48	the	the	DET
ejpam-483	187	49	best	good	ADJ
ejpam-483	187	50	subordinant	subordinant	NOUN
ejpam-483	187	51	of	of	ADP
ejpam-483	187	52	(	(	PUNCT
ejpam-483	187	53	30	30	NUM
ejpam-483	187	54	)	)	PUNCT
ejpam-483	187	55	.	.	PUNCT
ejpam-483	188	1	(	(	PUNCT
ejpam-483	188	2	all	all	DET
ejpam-483	188	3	the	the	DET
ejpam-483	188	4	powers	power	NOUN
ejpam-483	188	5	are	be	AUX
ejpam-483	188	6	the	the	DET
ejpam-483	188	7	principal	principal	ADJ
ejpam-483	188	8	ones	one	NOUN
ejpam-483	188	9	)	)	PUNCT
ejpam-483	188	10	combining	combine	VERB
ejpam-483	188	11	theorem	theorem	ADJ
ejpam-483	188	12	1	1	NUM
ejpam-483	188	13	and	and	CCONJ
ejpam-483	188	14	theorem	theorem	VERB
ejpam-483	188	15	3	3	NUM
ejpam-483	188	16	,	,	PUNCT
ejpam-483	188	17	we	we	PRON
ejpam-483	188	18	deduce	deduce	VERB
ejpam-483	188	19	the	the	DET
ejpam-483	188	20	following	follow	VERB
ejpam-483	188	21	sandwich	sandwich	NOUN
ejpam-483	188	22	theorem	theorem	NOUN
ejpam-483	188	23	:	:	PUNCT
ejpam-483	188	24	theorem	theorem	NOUN
ejpam-483	188	25	4	4	NUM
ejpam-483	188	26	.	.	PUNCT
ejpam-483	189	1	let	let	AUX
ejpam-483	189	2	q1	q1	PROPN
ejpam-483	189	3	and	and	CCONJ
ejpam-483	189	4	q2	q2	NOUN
ejpam-483	189	5	be	be	VERB
ejpam-483	189	6	convex	convex	NOUN
ejpam-483	189	7	functions	function	NOUN
ejpam-483	189	8	in	in	ADP
ejpam-483	189	9	u.	u.	PROPN
ejpam-483	189	10	suppose	suppose	VERB
ejpam-483	189	11	that	that	SCONJ
ejpam-483	189	12	α	α	X
ejpam-483	189	13	,	,	PUNCT
ejpam-483	189	14	η	η	PROPN
ejpam-483	189	15	∈	∈	PROPN
ejpam-483	189	16	c∗	c∗	ADJ
ejpam-483	189	17	satisfies	satisfie	NOUN
ejpam-483	189	18	(	(	PUNCT
ejpam-483	189	19	27	27	NUM
ejpam-483	189	20	)	)	PUNCT
ejpam-483	189	21	and	and	CCONJ
ejpam-483	189	22	q2	q2	NOUN
ejpam-483	189	23	satisfies	satisfie	NOUN
ejpam-483	189	24	(	(	PUNCT
ejpam-483	189	25	8)	8)	NUM
ejpam-483	189	26	.	.	PUNCT
ejpam-483	190	1	let	let	VERB
ejpam-483	190	2	g	g	PROPN
ejpam-483	190	3	∈	∈	PROPN
ejpam-483	190	4	a	a	PRON
ejpam-483	190	5	,	,	PUNCT
ejpam-483	190	6	and	and	CCONJ
ejpam-483	190	7	for	for	ADP
ejpam-483	190	8	all	all	DET
ejpam-483	190	9	functions	function	NOUN
ejpam-483	190	10	f	f	PROPN
ejpam-483	190	11	∈	∈	PROPN
ejpam-483	190	12	a	a	DET
ejpam-483	190	13	with	with	ADP
ejpam-483	190	14	(	(	PUNCT
ejpam-483	190	15	f	f	PROPN
ejpam-483	190	16	∗	∗	NOUN
ejpam-483	190	17	g)(z	g)(z	PUNCT
ejpam-483	190	18	)	)	PUNCT
ejpam-483	190	19	6=	6=	ADP
ejpam-483	190	20	0	0	NUM
ejpam-483	190	21	,	,	PUNCT
ejpam-483	190	22	z	z	PROPN
ejpam-483	190	23	∈	∈	PROPN
ejpam-483	190	24	u̇	u̇	PROPN
ejpam-483	190	25	,	,	PUNCT
ejpam-483	190	26	suppose	suppose	VERB
ejpam-483	190	27	that	that	SCONJ
ejpam-483	190	28	�	�	PROPN
ejpam-483	190	29	(	(	PUNCT
ejpam-483	190	30	f	f	PROPN
ejpam-483	190	31	∗	∗	PROPN
ejpam-483	190	32	g)(z	g)(z	PROPN
ejpam-483	190	33	)	)	PUNCT
ejpam-483	190	34	z	z	PROPN
ejpam-483	190	35	�	�	PROPN
ejpam-483	190	36	α	α	PROPN
ejpam-483	190	37	∈	∈	PROPN
ejpam-483	190	38	h[q(0	h[q(0	PROPN
ejpam-483	190	39	)	)	PUNCT
ejpam-483	190	40	,	,	PUNCT
ejpam-483	190	41	1	1	X
ejpam-483	190	42	]	]	PUNCT
ejpam-483	190	43	∩	∩	ADJ
ejpam-483	190	44	q	q	NOUN
ejpam-483	190	45	,	,	PUNCT
ejpam-483	190	46	and	and	CCONJ
ejpam-483	190	47	that	that	SCONJ
ejpam-483	190	48	χg(α	χg(α	NOUN
ejpam-483	190	49	,	,	PUNCT
ejpam-483	190	50	η	η	NOUN
ejpam-483	190	51	;	;	PUNCT
ejpam-483	190	52	f	f	X
ejpam-483	190	53	)	)	PUNCT
ejpam-483	190	54	is	be	AUX
ejpam-483	190	55	univalent	univalent	ADJ
ejpam-483	190	56	in	in	ADP
ejpam-483	190	57	u	u	NOUN
ejpam-483	190	58	,	,	PUNCT
ejpam-483	190	59	where	where	SCONJ
ejpam-483	190	60	χg(α	χg(α	X
ejpam-483	190	61	,	,	PUNCT
ejpam-483	190	62	η	η	NOUN
ejpam-483	190	63	;	;	PUNCT
ejpam-483	190	64	f	f	X
ejpam-483	190	65	)	)	PUNCT
ejpam-483	190	66	is	be	AUX
ejpam-483	190	67	given	give	VERB
ejpam-483	190	68	by	by	ADP
ejpam-483	190	69	(	(	PUNCT
ejpam-483	190	70	9	9	NUM
ejpam-483	190	71	)	)	PUNCT
ejpam-483	190	72	.	.	PUNCT
ejpam-483	191	1	then	then	ADV
ejpam-483	191	2	,	,	PUNCT
ejpam-483	191	3	q1(z	q1(z	PROPN
ejpam-483	191	4	)	)	PUNCT
ejpam-483	191	5	+	+	NUM
ejpam-483	191	6	η	η	PROPN
ejpam-483	191	7	α	α	PROPN
ejpam-483	191	8	zq′1(z)≺	zq′1(z)≺	PROPN
ejpam-483	191	9	χg(α	χg(α	X
ejpam-483	191	10	,	,	PUNCT
ejpam-483	191	11	η	η	NOUN
ejpam-483	191	12	;	;	PUNCT
ejpam-483	191	13	f	f	X
ejpam-483	191	14	)	)	PUNCT
ejpam-483	191	15	(	(	PUNCT
ejpam-483	191	16	z)≺	z)≺	PROPN
ejpam-483	191	17	q2(z	q2(z	VERB
ejpam-483	191	18	)	)	PUNCT
ejpam-483	191	19	+	+	NUM
ejpam-483	191	20	η	η	PROPN
ejpam-483	191	21	α	α	PRON
ejpam-483	191	22	zq′2(z	zq′2(z	NOUN
ejpam-483	191	23	)	)	PUNCT
ejpam-483	191	24	,	,	PUNCT
ejpam-483	191	25	(	(	PUNCT
ejpam-483	191	26	31	31	NUM
ejpam-483	191	27	)	)	PUNCT
ejpam-483	191	28	implies	imply	VERB
ejpam-483	191	29	q1(z	q1(z	NUM
ejpam-483	191	30	)	)	PUNCT
ejpam-483	191	31	≺	≺	NOUN
ejpam-483	191	32	�	�	PROPN
ejpam-483	191	33	(	(	PUNCT
ejpam-483	191	34	f	f	PROPN
ejpam-483	191	35	∗	∗	PROPN
ejpam-483	191	36	g)(z	g)(z	PROPN
ejpam-483	191	37	)	)	PUNCT
ejpam-483	191	38	z	z	PROPN
ejpam-483	191	39	�	�	PROPN
ejpam-483	191	40	α	α	NOUN
ejpam-483	191	41	≺	≺	NOUN
ejpam-483	191	42	q2(z	q2(z	NOUN
ejpam-483	191	43	)	)	PUNCT
ejpam-483	191	44	,	,	PUNCT
ejpam-483	191	45	and	and	CCONJ
ejpam-483	191	46	,	,	PUNCT
ejpam-483	191	47	moreover	moreover	ADV
ejpam-483	191	48	,	,	PUNCT
ejpam-483	191	49	q1	q1	PROPN
ejpam-483	191	50	and	and	CCONJ
ejpam-483	191	51	q2	q2	NOUN
ejpam-483	191	52	are	be	AUX
ejpam-483	191	53	respectively	respectively	ADV
ejpam-483	191	54	,	,	PUNCT
ejpam-483	191	55	the	the	DET
ejpam-483	191	56	best	good	ADJ
ejpam-483	191	57	subordinant	subordinant	NOUN
ejpam-483	191	58	and	and	CCONJ
ejpam-483	191	59	the	the	DET
ejpam-483	191	60	best	good	ADJ
ejpam-483	191	61	dominant	dominant	NOUN
ejpam-483	191	62	of	of	ADP
ejpam-483	191	63	(	(	PUNCT
ejpam-483	191	64	31	31	NUM
ejpam-483	191	65	)	)	PUNCT
ejpam-483	191	66	.	.	PUNCT
ejpam-483	192	1	(	(	PUNCT
ejpam-483	192	2	all	all	DET
ejpam-483	192	3	the	the	DET
ejpam-483	192	4	powers	power	NOUN
ejpam-483	192	5	are	be	AUX
ejpam-483	192	6	the	the	DET
ejpam-483	192	7	principal	principal	ADJ
ejpam-483	192	8	ones	one	NOUN
ejpam-483	192	9	)	)	PUNCT
ejpam-483	192	10	remark	remark	VERB
ejpam-483	192	11	4	4	NUM
ejpam-483	192	12	.	.	PUNCT
ejpam-483	192	13	combining	combine	VERB
ejpam-483	192	14	corollary	corollary	ADJ
ejpam-483	192	15	2	2	NUM
ejpam-483	192	16	and	and	CCONJ
ejpam-483	192	17	corollary	corollary	ADJ
ejpam-483	192	18	7	7	NUM
ejpam-483	192	19	,	,	PUNCT
ejpam-483	192	20	we	we	PRON
ejpam-483	192	21	get	get	VERB
ejpam-483	192	22	the	the	DET
ejpam-483	192	23	sandwich	sandwich	NOUN
ejpam-483	192	24	result	result	NOUN
ejpam-483	192	25	obtained	obtain	VERB
ejpam-483	192	26	by	by	ADP
ejpam-483	192	27	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-483	192	28	and	and	CCONJ
ejpam-483	192	29	magesh	magesh	ADJ
ejpam-483	192	30	[	[	X
ejpam-483	192	31	15	15	NUM
ejpam-483	192	32	,	,	PUNCT
ejpam-483	192	33	theorem	theorem	VERB
ejpam-483	192	34	3.10	3.10	NUM
ejpam-483	192	35	]	]	PUNCT
ejpam-483	192	36	.	.	PUNCT
ejpam-483	193	1	from	from	ADP
ejpam-483	193	2	corollary	corollary	ADJ
ejpam-483	193	3	3	3	NUM
ejpam-483	193	4	and	and	CCONJ
ejpam-483	193	5	corollary	corollary	ADJ
ejpam-483	193	6	8	8	NUM
ejpam-483	193	7	,	,	PUNCT
ejpam-483	193	8	we	we	PRON
ejpam-483	193	9	get	get	VERB
ejpam-483	193	10	the	the	DET
ejpam-483	193	11	next	next	ADJ
ejpam-483	193	12	sandwich	sandwich	NOUN
ejpam-483	193	13	theorem	theorem	NOUN
ejpam-483	193	14	:	:	PUNCT
ejpam-483	193	15	references	reference	NOUN
ejpam-483	193	16	11	11	NUM
ejpam-483	193	17	theorem	theorem	NOUN
ejpam-483	193	18	5	5	NUM
ejpam-483	193	19	.	.	PUNCT
ejpam-483	194	1	let	let	AUX
ejpam-483	194	2	q1	q1	PROPN
ejpam-483	194	3	and	and	CCONJ
ejpam-483	194	4	q2	q2	NOUN
ejpam-483	194	5	be	be	VERB
ejpam-483	194	6	convex	convex	NOUN
ejpam-483	194	7	functions	function	NOUN
ejpam-483	194	8	in	in	ADP
ejpam-483	194	9	u.	u.	PROPN
ejpam-483	194	10	suppose	suppose	VERB
ejpam-483	194	11	that	that	SCONJ
ejpam-483	194	12	α	α	X
ejpam-483	194	13	,	,	PUNCT
ejpam-483	194	14	η	η	PROPN
ejpam-483	194	15	∈	∈	PROPN
ejpam-483	194	16	c∗	c∗	ADJ
ejpam-483	194	17	satisfies	satisfie	NOUN
ejpam-483	194	18	(	(	PUNCT
ejpam-483	194	19	27	27	NUM
ejpam-483	194	20	)	)	PUNCT
ejpam-483	194	21	and	and	CCONJ
ejpam-483	194	22	q2	q2	NOUN
ejpam-483	194	23	satisfies	satisfie	NOUN
ejpam-483	194	24	(	(	PUNCT
ejpam-483	194	25	8)	8)	NUM
ejpam-483	194	26	.	.	PUNCT
ejpam-483	194	27	for	for	ADP
ejpam-483	194	28	all	all	DET
ejpam-483	194	29	functions	function	NOUN
ejpam-483	194	30	f	f	PROPN
ejpam-483	194	31	∈	∈	PROPN
ejpam-483	194	32	a	a	PRON
ejpam-483	194	33	with	with	ADP
ejpam-483	194	34	i(m	i(m	NOUN
ejpam-483	194	35	,	,	PUNCT
ejpam-483	194	36	λ	λ	NOUN
ejpam-483	194	37	,	,	PUNCT
ejpam-483	194	38	l	l	NOUN
ejpam-483	194	39	)	)	PUNCT
ejpam-483	194	40	f	f	NOUN
ejpam-483	194	41	(	(	PUNCT
ejpam-483	194	42	z	z	NOUN
ejpam-483	194	43	)	)	PUNCT
ejpam-483	194	44	6=	6=	ADP
ejpam-483	194	45	0	0	NUM
ejpam-483	194	46	,	,	PUNCT
ejpam-483	194	47	z	z	PROPN
ejpam-483	194	48	∈	∈	PROPN
ejpam-483	194	49	u̇	u̇	PROPN
ejpam-483	194	50	�	�	PROPN
ejpam-483	194	51	λ	λ	PROPN
ejpam-483	194	52	>	>	X
ejpam-483	194	53	0	0	PROPN
ejpam-483	194	54	,	,	PUNCT
ejpam-483	194	55	l	l	X
ejpam-483	194	56	≥	≥	NOUN
ejpam-483	194	57	0	0	NUM
ejpam-483	194	58	,	,	PUNCT
ejpam-483	194	59	m	m	PROPN
ejpam-483	194	60	∈	∈	PROPN
ejpam-483	194	61	n0	n0	PROPN
ejpam-483	194	62	�	�	PROPN
ejpam-483	194	63	,	,	PUNCT
ejpam-483	194	64	suppose	suppose	VERB
ejpam-483	194	65	that	that	SCONJ
ejpam-483	194	66	�	�	PROPN
ejpam-483	194	67	i(m	i(m	NOUN
ejpam-483	194	68	,	,	PUNCT
ejpam-483	194	69	λ	λ	NOUN
ejpam-483	194	70	,	,	PUNCT
ejpam-483	194	71	l	l	NOUN
ejpam-483	194	72	)	)	PUNCT
ejpam-483	194	73	f	f	NOUN
ejpam-483	194	74	(	(	PUNCT
ejpam-483	194	75	z	z	NOUN
ejpam-483	194	76	)	)	PUNCT
ejpam-483	194	77	z	z	NOUN
ejpam-483	194	78	�	�	PROPN
ejpam-483	194	79	α	α	PROPN
ejpam-483	194	80	∈	∈	PROPN
ejpam-483	194	81	h[q(0	h[q(0	PROPN
ejpam-483	194	82	)	)	PUNCT
ejpam-483	194	83	,	,	PUNCT
ejpam-483	194	84	1	1	X
ejpam-483	194	85	]	]	PUNCT
ejpam-483	194	86	∩q	∩q	NOUN
ejpam-483	194	87	,	,	PUNCT
ejpam-483	194	88	and	and	CCONJ
ejpam-483	194	89	that	that	SCONJ
ejpam-483	194	90	χ2(m	χ2(m	PROPN
ejpam-483	194	91	,	,	PUNCT
ejpam-483	194	92	λ	λ	PROPN
ejpam-483	194	93	,	,	PUNCT
ejpam-483	194	94	l;α	l;α	NUM
ejpam-483	194	95	,	,	PUNCT
ejpam-483	194	96	η	η	PROPN
ejpam-483	194	97	;	;	PUNCT
ejpam-483	194	98	f	f	X
ejpam-483	194	99	)	)	PUNCT
ejpam-483	194	100	is	be	AUX
ejpam-483	194	101	univalent	univalent	ADJ
ejpam-483	194	102	in	in	ADP
ejpam-483	194	103	u	u	NOUN
ejpam-483	194	104	,	,	PUNCT
ejpam-483	194	105	where	where	SCONJ
ejpam-483	194	106	χ2(m	χ2(m	PROPN
ejpam-483	194	107	,	,	PUNCT
ejpam-483	194	108	λ	λ	PROPN
ejpam-483	194	109	,	,	PUNCT
ejpam-483	194	110	l;α	l;α	NUM
ejpam-483	194	111	,	,	PUNCT
ejpam-483	194	112	η	η	PROPN
ejpam-483	194	113	;	;	PUNCT
ejpam-483	194	114	f	f	X
ejpam-483	194	115	)	)	PUNCT
ejpam-483	194	116	is	be	AUX
ejpam-483	194	117	given	give	VERB
ejpam-483	194	118	by	by	ADP
ejpam-483	194	119	(	(	PUNCT
ejpam-483	194	120	19	19	NUM
ejpam-483	194	121	)	)	PUNCT
ejpam-483	194	122	.	.	PUNCT
ejpam-483	195	1	then	then	ADV
ejpam-483	195	2	,	,	PUNCT
ejpam-483	195	3	q1(z	q1(z	PROPN
ejpam-483	195	4	)	)	PUNCT
ejpam-483	195	5	+	+	NUM
ejpam-483	195	6	η	η	PROPN
ejpam-483	195	7	α	α	PROPN
ejpam-483	195	8	zq′1(z	zq′1(z	NOUN
ejpam-483	195	9	)	)	PUNCT
ejpam-483	195	10	≺	≺	NOUN
ejpam-483	195	11	χ2(m	χ2(m	SYM
ejpam-483	195	12	,	,	PUNCT
ejpam-483	195	13	λ	λ	PROPN
ejpam-483	195	14	,	,	PUNCT
ejpam-483	195	15	l;α	l;α	NUM
ejpam-483	195	16	,	,	PUNCT
ejpam-483	195	17	η	η	PROPN
ejpam-483	195	18	;	;	PUNCT
ejpam-483	195	19	f	f	X
ejpam-483	195	20	)	)	PUNCT
ejpam-483	195	21	(	(	PUNCT
ejpam-483	195	22	z)≺	z)≺	PROPN
ejpam-483	195	23	q2(z	q2(z	VERB
ejpam-483	195	24	)	)	PUNCT
ejpam-483	195	25	+	+	NUM
ejpam-483	195	26	η	η	PROPN
ejpam-483	195	27	α	α	PRON
ejpam-483	195	28	zq′2(z	zq′2(z	NOUN
ejpam-483	195	29	)	)	PUNCT
ejpam-483	195	30	,	,	PUNCT
ejpam-483	195	31	(	(	PUNCT
ejpam-483	195	32	32	32	NUM
ejpam-483	195	33	)	)	PUNCT
ejpam-483	195	34	implies	imply	VERB
ejpam-483	195	35	q1(z)≺	q1(z)≺	PROPN
ejpam-483	195	36	�	�	PROPN
ejpam-483	195	37	i(m	i(m	PROPN
ejpam-483	195	38	,	,	PUNCT
ejpam-483	195	39	λ	λ	NOUN
ejpam-483	195	40	,	,	PUNCT
ejpam-483	195	41	l	l	NOUN
ejpam-483	195	42	)	)	PUNCT
ejpam-483	195	43	f	f	NOUN
ejpam-483	195	44	(	(	PUNCT
ejpam-483	195	45	z	z	NOUN
ejpam-483	195	46	)	)	PUNCT
ejpam-483	195	47	z	z	NOUN
ejpam-483	195	48	�	�	PROPN
ejpam-483	195	49	α	α	NOUN
ejpam-483	195	50	≺	≺	NOUN
ejpam-483	195	51	q2(z	q2(z	NOUN
ejpam-483	195	52	)	)	PUNCT
ejpam-483	195	53	,	,	PUNCT
ejpam-483	195	54	and	and	CCONJ
ejpam-483	195	55	,	,	PUNCT
ejpam-483	195	56	moreover	moreover	ADV
ejpam-483	195	57	,	,	PUNCT
ejpam-483	195	58	q1	q1	PROPN
ejpam-483	195	59	and	and	CCONJ
ejpam-483	195	60	q2	q2	NOUN
ejpam-483	195	61	are	be	AUX
ejpam-483	195	62	respectively	respectively	ADV
ejpam-483	195	63	,	,	PUNCT
ejpam-483	195	64	the	the	DET
ejpam-483	195	65	best	good	ADJ
ejpam-483	195	66	subordinant	subordinant	NOUN
ejpam-483	195	67	and	and	CCONJ
ejpam-483	195	68	the	the	DET
ejpam-483	195	69	best	good	ADJ
ejpam-483	195	70	dominant	dominant	NOUN
ejpam-483	195	71	of	of	ADP
ejpam-483	195	72	(	(	PUNCT
ejpam-483	195	73	32	32	NUM
ejpam-483	195	74	)	)	PUNCT
ejpam-483	195	75	.	.	PUNCT
ejpam-483	196	1	(	(	PUNCT
ejpam-483	196	2	all	all	DET
ejpam-483	196	3	the	the	DET
ejpam-483	196	4	powers	power	NOUN
ejpam-483	196	5	are	be	AUX
ejpam-483	196	6	the	the	DET
ejpam-483	196	7	principal	principal	ADJ
ejpam-483	196	8	ones	one	NOUN
ejpam-483	196	9	)	)	PUNCT
ejpam-483	196	10	references	reference	NOUN
ejpam-483	196	11	[	[	X
ejpam-483	196	12	1	1	NUM
ejpam-483	196	13	]	]	PUNCT
ejpam-483	196	14	r.	r.	PROPN
ejpam-483	196	15	m.	m.	PROPN
ejpam-483	196	16	ali	ali	PROPN
ejpam-483	196	17	,	,	PUNCT
ejpam-483	196	18	v.	v.	ADP
ejpam-483	196	19	ravichandran	ravichandran	NOUN
ejpam-483	196	20	and	and	CCONJ
ejpam-483	196	21	k.	k.	PROPN
ejpam-483	196	22	g.	g.	PROPN
ejpam-483	196	23	subramanian	subramanian	PROPN
ejpam-483	196	24	,	,	PUNCT
ejpam-483	196	25	differential	differential	ADJ
ejpam-483	196	26	sandwich	sandwich	NOUN
ejpam-483	196	27	theorems	theorem	NOUN
ejpam-483	196	28	for	for	ADP
ejpam-483	196	29	certain	certain	ADJ
ejpam-483	196	30	analytic	analytic	ADJ
ejpam-483	196	31	functions	function	NOUN
ejpam-483	196	32	,	,	PUNCT
ejpam-483	196	33	far	far	PROPN
ejpam-483	196	34	east	east	PROPN
ejpam-483	196	35	j.	j.	PROPN
ejpam-483	196	36	math	math	PROPN
ejpam-483	196	37	.	.	PUNCT
ejpam-483	197	1	sci	sci	PROPN
ejpam-483	197	2	.	.	PROPN
ejpam-483	197	3	,	,	PUNCT
ejpam-483	197	4	15(2004	15(2004	NUM
ejpam-483	197	5	)	)	PUNCT
ejpam-483	197	6	,	,	PUNCT
ejpam-483	197	7	no	no	INTJ
ejpam-483	197	8	.	.	NOUN
ejpam-483	197	9	1	1	NUM
ejpam-483	197	10	,	,	PUNCT
ejpam-483	197	11	87–94	87–94	NUM
ejpam-483	197	12	.	.	PUNCT
ejpam-483	198	1	[	[	X
ejpam-483	198	2	2	2	NUM
ejpam-483	198	3	]	]	PUNCT
ejpam-483	198	4	f.	f.	PROPN
ejpam-483	198	5	al	al	PROPN
ejpam-483	198	6	-	-	PUNCT
ejpam-483	198	7	oboudi	oboudi	NOUN
ejpam-483	198	8	,	,	PUNCT
ejpam-483	198	9	on	on	ADP
ejpam-483	198	10	univalent	univalent	ADJ
ejpam-483	198	11	functions	function	NOUN
ejpam-483	198	12	defined	define	VERB
ejpam-483	198	13	by	by	ADP
ejpam-483	198	14	a	a	DET
ejpam-483	198	15	generalized	generalized	ADJ
ejpam-483	198	16	sălăgean	sălăgean	ADJ
ejpam-483	198	17	operator	operator	NOUN
ejpam-483	198	18	,	,	PUNCT
ejpam-483	198	19	internat	internat	PROPN
ejpam-483	198	20	.	.	PUNCT
ejpam-483	199	1	j.	j.	PROPN
ejpam-483	199	2	math	math	PROPN
ejpam-483	199	3	.	.	PUNCT
ejpam-483	200	1	math	math	NOUN
ejpam-483	200	2	.	.	PUNCT
ejpam-483	201	1	sci	sci	PROPN
ejpam-483	201	2	.	.	PROPN
ejpam-483	201	3	,	,	PUNCT
ejpam-483	201	4	27(2004	27(2004	NUM
ejpam-483	201	5	)	)	PUNCT
ejpam-483	201	6	,	,	PUNCT
ejpam-483	201	7	1429–1436	1429–1436	NUM
ejpam-483	201	8	.	.	PUNCT
ejpam-483	202	1	[	[	X
ejpam-483	202	2	3	3	NUM
ejpam-483	202	3	]	]	PUNCT
ejpam-483	202	4	m.	m.	PROPN
ejpam-483	202	5	k.	k.	PROPN
ejpam-483	202	6	aouf	aouf	PROPN
ejpam-483	202	7	,	,	PUNCT
ejpam-483	202	8	f.	f.	PROPN
ejpam-483	202	9	m.	m.	PROPN
ejpam-483	202	10	al	al	PROPN
ejpam-483	202	11	-	-	PUNCT
ejpam-483	202	12	oboudi	oboudi	ADJ
ejpam-483	202	13	and	and	CCONJ
ejpam-483	202	14	m.	m.	NOUN
ejpam-483	202	15	m.	m.	PROPN
ejpam-483	202	16	haidan	haidan	PROPN
ejpam-483	202	17	,	,	PUNCT
ejpam-483	202	18	on	on	ADP
ejpam-483	202	19	some	some	DET
ejpam-483	202	20	results	result	NOUN
ejpam-483	202	21	for	for	ADP
ejpam-483	202	22	λ	λ	NOUN
ejpam-483	202	23	-	-	ADJ
ejpam-483	202	24	spirallike	spirallike	ADJ
ejpam-483	202	25	and	and	CCONJ
ejpam-483	202	26	λrobertson	λrobertson	NOUN
ejpam-483	202	27	functions	function	NOUN
ejpam-483	202	28	of	of	ADP
ejpam-483	202	29	complex	complex	ADJ
ejpam-483	202	30	order	order	NOUN
ejpam-483	202	31	,	,	PUNCT
ejpam-483	202	32	publ	publ	PROPN
ejpam-483	202	33	.	.	PUNCT
ejpam-483	203	1	institute	institute	PROPN
ejpam-483	203	2	math	math	PROPN
ejpam-483	203	3	.	.	PUNCT
ejpam-483	204	1	belgrade	belgrade	PROPN
ejpam-483	204	2	,	,	PUNCT
ejpam-483	204	3	77(2005	77(2005	NUM
ejpam-483	204	4	)	)	PUNCT
ejpam-483	204	5	,	,	PUNCT
ejpam-483	204	6	no	no	INTJ
ejpam-483	204	7	.	.	NOUN
ejpam-483	204	8	91	91	NUM
ejpam-483	204	9	,	,	PUNCT
ejpam-483	204	10	93–98	93–98	NUM
ejpam-483	204	11	.	.	PUNCT
ejpam-483	205	1	[	[	X
ejpam-483	205	2	4	4	X
ejpam-483	205	3	]	]	X
ejpam-483	205	4	t.	t.	NOUN
ejpam-483	205	5	bulboacă	bulboacă	NOUN
ejpam-483	205	6	,	,	PUNCT
ejpam-483	205	7	a	a	DET
ejpam-483	205	8	class	class	NOUN
ejpam-483	205	9	of	of	ADP
ejpam-483	205	10	superordination	superordination	NOUN
ejpam-483	205	11	-	-	PUNCT
ejpam-483	205	12	preserving	preserve	VERB
ejpam-483	205	13	integral	integral	ADJ
ejpam-483	205	14	operators	operator	NOUN
ejpam-483	205	15	,	,	PUNCT
ejpam-483	205	16	indag	indag	PROPN
ejpam-483	205	17	.	.	PUNCT
ejpam-483	205	18	math	math	NOUN
ejpam-483	205	19	.	.	PUNCT
ejpam-483	206	1	(	(	PUNCT
ejpam-483	206	2	n.	n.	PROPN
ejpam-483	206	3	s.	s.	PROPN
ejpam-483	206	4	)	)	PUNCT
ejpam-483	206	5	,	,	PUNCT
ejpam-483	206	6	13(2002	13(2002	NUM
ejpam-483	206	7	)	)	PUNCT
ejpam-483	206	8	,	,	PUNCT
ejpam-483	206	9	no	no	INTJ
ejpam-483	206	10	.	.	NOUN
ejpam-483	206	11	3	3	NUM
ejpam-483	206	12	,	,	PUNCT
ejpam-483	206	13	301–311	301–311	NUM
ejpam-483	206	14	.	.	PUNCT
ejpam-483	207	1	[	[	X
ejpam-483	207	2	5	5	X
ejpam-483	207	3	]	]	PUNCT
ejpam-483	207	4	t.	t.	NOUN
ejpam-483	207	5	bulboacă	bulboacă	NOUN
ejpam-483	207	6	,	,	PUNCT
ejpam-483	207	7	classes	class	NOUN
ejpam-483	207	8	of	of	ADP
ejpam-483	207	9	first	first	ADJ
ejpam-483	207	10	order	order	NOUN
ejpam-483	207	11	differential	differential	ADJ
ejpam-483	207	12	superordinations	superordination	NOUN
ejpam-483	207	13	,	,	PUNCT
ejpam-483	207	14	demonstratio	demonstratio	PROPN
ejpam-483	207	15	math	math	PROPN
ejpam-483	207	16	.	.	PUNCT
ejpam-483	208	1	35(2002	35(2002	NUM
ejpam-483	208	2	)	)	PUNCT
ejpam-483	208	3	,	,	PUNCT
ejpam-483	209	1	no	no	INTJ
ejpam-483	209	2	.	.	NOUN
ejpam-483	209	3	2	2	NUM
ejpam-483	209	4	,	,	PUNCT
ejpam-483	209	5	287–292	287–292	NUM
ejpam-483	209	6	.	.	PUNCT
ejpam-483	210	1	[	[	X
ejpam-483	210	2	6	6	NUM
ejpam-483	210	3	]	]	PUNCT
ejpam-483	210	4	a.	a.	NOUN
ejpam-483	210	5	cătaş	cătaş	PROPN
ejpam-483	210	6	,	,	PUNCT
ejpam-483	210	7	g.	g.	PROPN
ejpam-483	210	8	i.	i.	PROPN
ejpam-483	210	9	oros	oros	PROPN
ejpam-483	210	10	and	and	CCONJ
ejpam-483	210	11	g.	g.	PROPN
ejpam-483	210	12	oros	oros	PROPN
ejpam-483	210	13	,	,	PUNCT
ejpam-483	210	14	differential	differential	ADJ
ejpam-483	210	15	subordinations	subordination	NOUN
ejpam-483	210	16	associated	associate	VERB
ejpam-483	210	17	with	with	ADP
ejpam-483	210	18	multiplier	multipli	ADJ
ejpam-483	210	19	transformations	transformation	NOUN
ejpam-483	210	20	,	,	PUNCT
ejpam-483	210	21	abstract	abstract	ADJ
ejpam-483	210	22	appl	appl	NOUN
ejpam-483	210	23	.	.	PUNCT
ejpam-483	211	1	anal	anal	PROPN
ejpam-483	211	2	.	.	PROPN
ejpam-483	211	3	,	,	PUNCT
ejpam-483	211	4	2008	2008	NUM
ejpam-483	211	5	(	(	PUNCT
ejpam-483	211	6	2008	2008	NUM
ejpam-483	211	7	)	)	PUNCT
ejpam-483	211	8	,	,	PUNCT
ejpam-483	211	9	i	i	PROPN
ejpam-483	211	10	d	d	PROPN
ejpam-483	211	11	845724	845724	NUM
ejpam-483	211	12	,	,	PUNCT
ejpam-483	211	13	1–11	1–11	PROPN
ejpam-483	211	14	.	.	PUNCT
ejpam-483	212	1	[	[	X
ejpam-483	212	2	7	7	X
ejpam-483	212	3	]	]	X
ejpam-483	212	4	n.	n.	PROPN
ejpam-483	212	5	e.	e.	PROPN
ejpam-483	212	6	cho	cho	PROPN
ejpam-483	212	7	and	and	CCONJ
ejpam-483	212	8	t.	t.	PROPN
ejpam-483	212	9	g.	g.	PROPN
ejpam-483	212	10	kim	kim	PROPN
ejpam-483	212	11	,	,	PUNCT
ejpam-483	212	12	multiplier	multipli	ADJ
ejpam-483	212	13	transformations	transformation	NOUN
ejpam-483	212	14	and	and	CCONJ
ejpam-483	212	15	strongly	strongly	ADV
ejpam-483	212	16	close	close	ADV
ejpam-483	212	17	-	-	PUNCT
ejpam-483	212	18	to	to	ADP
ejpam-483	212	19	-	-	PUNCT
ejpam-483	212	20	convex	convex	NOUN
ejpam-483	212	21	functions	function	NOUN
ejpam-483	212	22	,	,	PUNCT
ejpam-483	212	23	bull	bull	NOUN
ejpam-483	212	24	.	.	PUNCT
ejpam-483	213	1	korean	korean	ADJ
ejpam-483	213	2	math	math	PROPN
ejpam-483	213	3	.	.	PUNCT
ejpam-483	214	1	soc	soc	PROPN
ejpam-483	214	2	.	.	PUNCT
ejpam-483	214	3	,	,	PUNCT
ejpam-483	214	4	40(2003	40(2003	NOUN
ejpam-483	214	5	)	)	PUNCT
ejpam-483	214	6	,	,	PUNCT
ejpam-483	214	7	no	no	INTJ
ejpam-483	214	8	.	.	NOUN
ejpam-483	214	9	3	3	NUM
ejpam-483	214	10	,	,	PUNCT
ejpam-483	214	11	399–410	399–410	NUM
ejpam-483	214	12	.	.	PUNCT
ejpam-483	215	1	[	[	X
ejpam-483	215	2	8	8	X
ejpam-483	215	3	]	]	X
ejpam-483	215	4	j.	j.	PROPN
ejpam-483	215	5	dziok	dziok	PROPN
ejpam-483	215	6	and	and	CCONJ
ejpam-483	215	7	h.	h.	PROPN
ejpam-483	215	8	m.	m.	PROPN
ejpam-483	215	9	srivastava	srivastava	PROPN
ejpam-483	215	10	,	,	PUNCT
ejpam-483	215	11	classes	class	NOUN
ejpam-483	215	12	of	of	ADP
ejpam-483	215	13	analytic	analytic	ADJ
ejpam-483	215	14	functions	function	NOUN
ejpam-483	215	15	associated	associate	VERB
ejpam-483	215	16	with	with	ADP
ejpam-483	215	17	the	the	DET
ejpam-483	215	18	generalized	generalize	VERB
ejpam-483	215	19	hypergeometric	hypergeometric	ADJ
ejpam-483	215	20	function	function	NOUN
ejpam-483	215	21	,	,	PUNCT
ejpam-483	215	22	appl	appl	PROPN
ejpam-483	215	23	.	.	PROPN
ejpam-483	215	24	math	math	PROPN
ejpam-483	215	25	.	.	PUNCT
ejpam-483	216	1	comput	comput	NOUN
ejpam-483	216	2	.	.	PUNCT
ejpam-483	216	3	,	,	PUNCT
ejpam-483	216	4	103(1999	103(1999	NUM
ejpam-483	216	5	)	)	PUNCT
ejpam-483	216	6	,	,	PUNCT
ejpam-483	216	7	1–13	1–13	NOUN
ejpam-483	216	8	.	.	PUNCT
ejpam-483	217	1	[	[	X
ejpam-483	217	2	9	9	NUM
ejpam-483	217	3	]	]	PUNCT
ejpam-483	217	4	j.	j.	PROPN
ejpam-483	217	5	dziok	dziok	PROPN
ejpam-483	217	6	and	and	CCONJ
ejpam-483	217	7	h.	h.	PROPN
ejpam-483	217	8	m.	m.	PROPN
ejpam-483	217	9	srivastava	srivastava	PROPN
ejpam-483	217	10	,	,	PUNCT
ejpam-483	217	11	some	some	DET
ejpam-483	217	12	subclasses	subclass	NOUN
ejpam-483	217	13	of	of	ADP
ejpam-483	217	14	analytic	analytic	ADJ
ejpam-483	217	15	functions	function	NOUN
ejpam-483	217	16	with	with	ADP
ejpam-483	217	17	fixed	fix	VERB
ejpam-483	217	18	argument	argument	NOUN
ejpam-483	217	19	of	of	ADP
ejpam-483	217	20	coefficients	coefficient	NOUN
ejpam-483	217	21	associated	associate	VERB
ejpam-483	217	22	with	with	ADP
ejpam-483	217	23	the	the	DET
ejpam-483	217	24	generalized	generalize	VERB
ejpam-483	217	25	hypergeometric	hypergeometric	ADJ
ejpam-483	217	26	function	function	NOUN
ejpam-483	217	27	,	,	PUNCT
ejpam-483	217	28	adv	adv	PROPN
ejpam-483	217	29	.	.	PUNCT
ejpam-483	217	30	stud	stud	PROPN
ejpam-483	217	31	.	.	PUNCT
ejpam-483	218	1	contemp	contemp	NOUN
ejpam-483	218	2	.	.	PUNCT
ejpam-483	219	1	math	math	NOUN
ejpam-483	219	2	.	.	PUNCT
ejpam-483	219	3	,	,	PUNCT
ejpam-483	219	4	5(2002	5(2002	NUM
ejpam-483	219	5	)	)	PUNCT
ejpam-483	219	6	,	,	PUNCT
ejpam-483	219	7	115–125	115–125	NUM
ejpam-483	219	8	.	.	PUNCT
ejpam-483	220	1	references	reference	NOUN
ejpam-483	220	2	12	12	NUM
ejpam-483	220	3	[	[	X
ejpam-483	220	4	10	10	NUM
ejpam-483	220	5	]	]	PUNCT
ejpam-483	220	6	j.	j.	PROPN
ejpam-483	220	7	dziok	dziok	PROPN
ejpam-483	220	8	and	and	CCONJ
ejpam-483	220	9	h.	h.	PROPN
ejpam-483	220	10	m.	m.	PROPN
ejpam-483	220	11	srivastava	srivastava	PROPN
ejpam-483	220	12	,	,	PUNCT
ejpam-483	220	13	certain	certain	ADJ
ejpam-483	220	14	subclasses	subclass	NOUN
ejpam-483	220	15	of	of	ADP
ejpam-483	220	16	analytic	analytic	ADJ
ejpam-483	220	17	functions	function	NOUN
ejpam-483	220	18	associated	associate	VERB
ejpam-483	220	19	with	with	ADP
ejpam-483	220	20	the	the	DET
ejpam-483	220	21	generalized	generalize	VERB
ejpam-483	220	22	hypergeometric	hypergeometric	ADJ
ejpam-483	220	23	function	function	NOUN
ejpam-483	220	24	,	,	PUNCT
ejpam-483	220	25	integral	integral	ADJ
ejpam-483	220	26	transform	transform	NOUN
ejpam-483	220	27	.	.	PUNCT
ejpam-483	221	1	spec	spec	PROPN
ejpam-483	221	2	.	.	PUNCT
ejpam-483	222	1	funct	funct	PROPN
ejpam-483	222	2	.	.	PUNCT
ejpam-483	222	3	,	,	PUNCT
ejpam-483	222	4	14(2003	14(2003	NUM
ejpam-483	222	5	)	)	PUNCT
ejpam-483	222	6	,	,	PUNCT
ejpam-483	222	7	7–18	7–18	NOUN
ejpam-483	222	8	.	.	PUNCT
ejpam-483	223	1	[	[	X
ejpam-483	223	2	11	11	NUM
ejpam-483	223	3	]	]	X
ejpam-483	223	4	yu	yu	PROPN
ejpam-483	223	5	.	.	PUNCT
ejpam-483	223	6	e.	e.	PROPN
ejpam-483	223	7	hohlov	hohlov	PROPN
ejpam-483	223	8	,	,	PUNCT
ejpam-483	223	9	operators	operator	NOUN
ejpam-483	223	10	and	and	CCONJ
ejpam-483	223	11	operations	operation	NOUN
ejpam-483	223	12	in	in	ADP
ejpam-483	223	13	the	the	DET
ejpam-483	223	14	univalent	univalent	ADJ
ejpam-483	223	15	functions	function	NOUN
ejpam-483	223	16	,	,	PUNCT
ejpam-483	223	17	izv	izv	PROPN
ejpam-483	223	18	.	.	PUNCT
ejpam-483	223	19	vysh	vysh	PROPN
ejpam-483	223	20	.	.	PUNCT
ejpam-483	224	1	ucebn	ucebn	PROPN
ejpam-483	224	2	.	.	PUNCT
ejpam-483	225	1	zaved	zave	VERB
ejpam-483	225	2	.	.	PUNCT
ejpam-483	226	1	mat	mat	PROPN
ejpam-483	226	2	.	.	PROPN
ejpam-483	226	3	,	,	PUNCT
ejpam-483	226	4	10(1978	10(1978	NUM
ejpam-483	226	5	)	)	PUNCT
ejpam-483	226	6	,	,	PUNCT
ejpam-483	226	7	83–89	83–89	NUM
ejpam-483	226	8	(	(	PUNCT
ejpam-483	226	9	in	in	ADP
ejpam-483	226	10	russian	russian	NOUN
ejpam-483	226	11	)	)	PUNCT
ejpam-483	226	12	.	.	PUNCT
ejpam-483	227	1	[	[	X
ejpam-483	227	2	12	12	NUM
ejpam-483	227	3	]	]	PUNCT
ejpam-483	227	4	r.	r.	PROPN
ejpam-483	227	5	j.	j.	PROPN
ejpam-483	227	6	libera	libera	PROPN
ejpam-483	227	7	,	,	PUNCT
ejpam-483	227	8	some	some	DET
ejpam-483	227	9	classes	class	NOUN
ejpam-483	227	10	of	of	ADP
ejpam-483	227	11	regular	regular	ADJ
ejpam-483	227	12	univalent	univalent	ADJ
ejpam-483	227	13	functions	function	NOUN
ejpam-483	227	14	,	,	PUNCT
ejpam-483	227	15	proc	proc	NOUN
ejpam-483	227	16	.	.	PUNCT
ejpam-483	228	1	amer	amer	PROPN
ejpam-483	228	2	.	.	PUNCT
ejpam-483	228	3	math	math	PROPN
ejpam-483	228	4	.	.	PUNCT
ejpam-483	229	1	soc	soc	PROPN
ejpam-483	229	2	.	.	PUNCT
ejpam-483	229	3	,	,	PUNCT
ejpam-483	229	4	16(1965	16(1965	NUM
ejpam-483	229	5	)	)	PUNCT
ejpam-483	229	6	,	,	PUNCT
ejpam-483	229	7	755–658	755–658	NUM
ejpam-483	229	8	.	.	PUNCT
ejpam-483	230	1	[	[	X
ejpam-483	230	2	13	13	NUM
ejpam-483	230	3	]	]	PUNCT
ejpam-483	230	4	s.	s.	PROPN
ejpam-483	230	5	s.	s.	PROPN
ejpam-483	230	6	miller	miller	PROPN
ejpam-483	230	7	and	and	CCONJ
ejpam-483	230	8	p.	p.	PROPN
ejpam-483	230	9	t.	t.	PROPN
ejpam-483	230	10	mocanu	mocanu	PROPN
ejpam-483	230	11	,	,	PUNCT
ejpam-483	230	12	on	on	ADP
ejpam-483	230	13	some	some	DET
ejpam-483	230	14	classes	class	NOUN
ejpam-483	230	15	of	of	ADP
ejpam-483	230	16	first	first	ADJ
ejpam-483	230	17	-	-	PUNCT
ejpam-483	230	18	order	order	NOUN
ejpam-483	230	19	differential	differential	ADJ
ejpam-483	230	20	subordinations	subordination	NOUN
ejpam-483	230	21	,	,	PUNCT
ejpam-483	230	22	michig	michig	PROPN
ejpam-483	230	23	.	.	PROPN
ejpam-483	230	24	math	math	PROPN
ejpam-483	230	25	.	.	PUNCT
ejpam-483	231	1	j.	j.	PROPN
ejpam-483	231	2	,	,	PUNCT
ejpam-483	231	3	32(1985	32(1985	NUM
ejpam-483	231	4	)	)	PUNCT
ejpam-483	231	5	,	,	PUNCT
ejpam-483	231	6	185–195	185–195	NUM
ejpam-483	231	7	[	[	SYM
ejpam-483	231	8	14	14	NUM
ejpam-483	231	9	]	]	PUNCT
ejpam-483	231	10	s.	s.	PROPN
ejpam-483	231	11	s.	s.	PROPN
ejpam-483	231	12	miller	miller	PROPN
ejpam-483	231	13	and	and	CCONJ
ejpam-483	231	14	p.	p.	PROPN
ejpam-483	231	15	t.	t.	PROPN
ejpam-483	231	16	mocanu	mocanu	PROPN
ejpam-483	231	17	,	,	PUNCT
ejpam-483	231	18	subordinants	subordinant	NOUN
ejpam-483	231	19	of	of	ADP
ejpam-483	231	20	differential	differential	ADJ
ejpam-483	231	21	superordinations	superordination	NOUN
ejpam-483	231	22	,	,	PUNCT
ejpam-483	231	23	complex	complex	ADJ
ejpam-483	231	24	variables	variable	NOUN
ejpam-483	231	25	,	,	PUNCT
ejpam-483	231	26	48(2003	48(2003	NUM
ejpam-483	231	27	)	)	PUNCT
ejpam-483	231	28	,	,	PUNCT
ejpam-483	231	29	no	no	INTJ
ejpam-483	231	30	.	.	NOUN
ejpam-483	231	31	10	10	NUM
ejpam-483	231	32	,	,	PUNCT
ejpam-483	231	33	815–826	815–826	NUM
ejpam-483	231	34	.	.	PUNCT
ejpam-483	232	1	[	[	X
ejpam-483	232	2	15	15	NUM
ejpam-483	232	3	]	]	X
ejpam-483	232	4	g.	g.	PROPN
ejpam-483	232	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-483	232	6	and	and	CCONJ
ejpam-483	232	7	n.	n.	PROPN
ejpam-483	232	8	magesh	magesh	PROPN
ejpam-483	232	9	,	,	PUNCT
ejpam-483	232	10	differential	differential	ADJ
ejpam-483	232	11	subordinations	subordination	NOUN
ejpam-483	232	12	and	and	CCONJ
ejpam-483	232	13	superordinations	superordination	NOUN
ejpam-483	232	14	for	for	ADP
ejpam-483	232	15	analytic	analytic	ADJ
ejpam-483	232	16	functions	function	NOUN
ejpam-483	232	17	defined	define	VERB
ejpam-483	232	18	by	by	ADP
ejpam-483	232	19	the	the	DET
ejpam-483	232	20	dziok	dziok	NOUN
ejpam-483	232	21	-	-	PUNCT
ejpam-483	232	22	srivastava	srivastava	PROPN
ejpam-483	232	23	linear	linear	PROPN
ejpam-483	232	24	operator	operator	NOUN
ejpam-483	232	25	,	,	PUNCT
ejpam-483	232	26	j.	j.	PROPN
ejpam-483	232	27	inequal	inequal	PROPN
ejpam-483	232	28	.	.	PUNCT
ejpam-483	233	1	pure	pure	ADJ
ejpam-483	233	2	appl	appl	PROPN
ejpam-483	233	3	.	.	PUNCT
ejpam-483	233	4	math	math	PROPN
ejpam-483	233	5	.	.	PUNCT
ejpam-483	233	6	,	,	PUNCT
ejpam-483	233	7	7(4)(2006	7(4)(2006	NUM
ejpam-483	233	8	)	)	PUNCT
ejpam-483	233	9	,	,	PUNCT
ejpam-483	233	10	art	art	NOUN
ejpam-483	233	11	.	.	PUNCT
ejpam-483	234	1	152	152	NUM
ejpam-483	234	2	,	,	PUNCT
ejpam-483	234	3	1–9	1–9	NOUN
ejpam-483	234	4	.	.	PUNCT
ejpam-483	235	1	[	[	X
ejpam-483	235	2	16	16	NUM
ejpam-483	235	3	]	]	PUNCT
ejpam-483	235	4	m.	m.	NOUN
ejpam-483	235	5	obradović	obradović	NOUN
ejpam-483	235	6	,	,	PUNCT
ejpam-483	235	7	m.	m.	PROPN
ejpam-483	235	8	k.	k.	PROPN
ejpam-483	235	9	aouf	aouf	PROPN
ejpam-483	235	10	and	and	CCONJ
ejpam-483	235	11	s.	s.	PROPN
ejpam-483	235	12	owa	owa	PROPN
ejpam-483	235	13	,	,	PUNCT
ejpam-483	235	14	on	on	ADP
ejpam-483	235	15	some	some	DET
ejpam-483	235	16	results	result	NOUN
ejpam-483	235	17	for	for	ADP
ejpam-483	235	18	starlike	starlike	NOUN
ejpam-483	235	19	functions	function	NOUN
ejpam-483	235	20	of	of	ADP
ejpam-483	235	21	complex	complex	ADJ
ejpam-483	235	22	order	order	NOUN
ejpam-483	235	23	,	,	PUNCT
ejpam-483	235	24	publ	publ	PROPN
ejpam-483	235	25	.	.	PUNCT
ejpam-483	236	1	institute	institute	PROPN
ejpam-483	236	2	math	math	PROPN
ejpam-483	236	3	.	.	PUNCT
ejpam-483	237	1	belgrade	belgrade	PROPN
ejpam-483	237	2	,	,	PUNCT
ejpam-483	237	3	46(60)(1989	46(60)(1989	NUM
ejpam-483	237	4	)	)	PUNCT
ejpam-483	237	5	,	,	PUNCT
ejpam-483	237	6	79–85	79–85	NUM
ejpam-483	237	7	.	.	PUNCT
ejpam-483	238	1	[	[	X
ejpam-483	238	2	17	17	NUM
ejpam-483	238	3	]	]	PUNCT
ejpam-483	238	4	s.	s.	PROPN
ejpam-483	238	5	owa	owa	PROPN
ejpam-483	238	6	and	and	CCONJ
ejpam-483	238	7	h.	h.	PROPN
ejpam-483	238	8	m.	m.	PROPN
ejpam-483	238	9	srivastava	srivastava	PROPN
ejpam-483	238	10	,	,	PUNCT
ejpam-483	238	11	univalent	univalent	ADJ
ejpam-483	238	12	and	and	CCONJ
ejpam-483	238	13	starlike	starlike	ADJ
ejpam-483	238	14	generalized	generalize	VERB
ejpam-483	238	15	hypergeometric	hypergeometric	ADJ
ejpam-483	238	16	functions	function	NOUN
ejpam-483	238	17	,	,	PUNCT
ejpam-483	238	18	canad	canad	PROPN
ejpam-483	238	19	.	.	PUNCT
ejpam-483	239	1	j.	j.	PROPN
ejpam-483	239	2	math	math	PROPN
ejpam-483	239	3	.	.	PUNCT
ejpam-483	239	4	,	,	PUNCT
ejpam-483	239	5	39(1987	39(1987	NUM
ejpam-483	239	6	)	)	PUNCT
ejpam-483	239	7	,	,	PUNCT
ejpam-483	239	8	1057–1077	1057–1077	NUM
ejpam-483	239	9	.	.	PUNCT
ejpam-483	240	1	[	[	X
ejpam-483	240	2	18	18	NUM
ejpam-483	240	3	]	]	X
ejpam-483	240	4	w.	w.	PROPN
ejpam-483	240	5	c.	c.	PROPN
ejpam-483	240	6	royster	royster	PROPN
ejpam-483	240	7	,	,	PUNCT
ejpam-483	240	8	on	on	ADP
ejpam-483	240	9	the	the	DET
ejpam-483	240	10	univalence	univalence	NOUN
ejpam-483	240	11	of	of	ADP
ejpam-483	240	12	a	a	DET
ejpam-483	240	13	certain	certain	ADJ
ejpam-483	240	14	integral	integral	ADJ
ejpam-483	240	15	,	,	PUNCT
ejpam-483	240	16	michigan	michigan	PROPN
ejpam-483	240	17	math	math	PROPN
ejpam-483	240	18	.	.	PUNCT
ejpam-483	241	1	j.	j.	PROPN
ejpam-483	241	2	,	,	PUNCT
ejpam-483	241	3	12(1965	12(1965	NUM
ejpam-483	241	4	)	)	PUNCT
ejpam-483	241	5	,	,	PUNCT
ejpam-483	241	6	385	385	NUM
ejpam-483	241	7	–	–	PUNCT
ejpam-483	241	8	387	387	NUM
ejpam-483	241	9	.	.	PUNCT
ejpam-483	242	1	[	[	X
ejpam-483	242	2	19	19	NUM
ejpam-483	242	3	]	]	SYM
ejpam-483	242	4	st	st	PROPN
ejpam-483	242	5	.	.	PROPN
ejpam-483	242	6	ruscheweyh	ruscheweyh	PROPN
ejpam-483	242	7	,	,	PUNCT
ejpam-483	242	8	new	new	ADJ
ejpam-483	242	9	criteria	criterion	NOUN
ejpam-483	242	10	for	for	ADP
ejpam-483	242	11	univalent	univalent	ADJ
ejpam-483	242	12	functions	function	NOUN
ejpam-483	242	13	,	,	PUNCT
ejpam-483	242	14	proc	proc	NOUN
ejpam-483	242	15	.	.	PUNCT
ejpam-483	243	1	amer	amer	PROPN
ejpam-483	243	2	.	.	PUNCT
ejpam-483	243	3	math	math	PROPN
ejpam-483	243	4	.	.	PUNCT
ejpam-483	244	1	soc	soc	PROPN
ejpam-483	244	2	.	.	PUNCT
ejpam-483	244	3	,	,	PUNCT
ejpam-483	244	4	49(1975	49(1975	NUM
ejpam-483	244	5	)	)	PUNCT
ejpam-483	244	6	,	,	PUNCT
ejpam-483	244	7	109–115	109–115	NUM
ejpam-483	244	8	.	.	PUNCT
ejpam-483	245	1	[	[	X
ejpam-483	245	2	20	20	NUM
ejpam-483	245	3	]	]	X
ejpam-483	245	4	g.	g.	PROPN
ejpam-483	245	5	s.	s.	PROPN
ejpam-483	245	6	sălăgean	sălăgean	PROPN
ejpam-483	245	7	,	,	PUNCT
ejpam-483	245	8	subclasses	subclass	NOUN
ejpam-483	245	9	of	of	ADP
ejpam-483	245	10	univalent	univalent	ADJ
ejpam-483	245	11	functions	function	NOUN
ejpam-483	245	12	,	,	PUNCT
ejpam-483	245	13	lecture	lecture	NOUN
ejpam-483	245	14	notes	note	NOUN
ejpam-483	245	15	in	in	ADP
ejpam-483	245	16	math	math	NOUN
ejpam-483	245	17	.	.	PUNCT
ejpam-483	246	1	(	(	PUNCT
ejpam-483	246	2	springerverlag	springerverlag	NOUN
ejpam-483	246	3	)	)	PUNCT
ejpam-483	246	4	1013	1013	NUM
ejpam-483	246	5	,	,	PUNCT
ejpam-483	246	6	(	(	PUNCT
ejpam-483	246	7	1983	1983	NUM
ejpam-483	246	8	)	)	PUNCT
ejpam-483	246	9	,	,	PUNCT
ejpam-483	246	10	362–372	362–372	NUM
ejpam-483	246	11	.	.	PUNCT
ejpam-483	247	1	[	[	X
ejpam-483	247	2	21	21	NUM
ejpam-483	247	3	]	]	PUNCT
ejpam-483	247	4	t.	t.	PROPN
ejpam-483	247	5	n.	n.	PROPN
ejpam-483	247	6	shanmugam	shanmugam	PROPN
ejpam-483	247	7	,	,	PUNCT
ejpam-483	247	8	v.	v.	ADP
ejpam-483	247	9	ravichandran	ravichandran	NOUN
ejpam-483	247	10	and	and	CCONJ
ejpam-483	247	11	s.	s.	PROPN
ejpam-483	247	12	sivasubramanian	sivasubramanian	PROPN
ejpam-483	247	13	,	,	PUNCT
ejpam-483	247	14	differantial	differantial	ADJ
ejpam-483	247	15	sandwich	sandwich	NOUN
ejpam-483	247	16	theorems	theorem	NOUN
ejpam-483	247	17	for	for	ADP
ejpam-483	247	18	some	some	DET
ejpam-483	247	19	subclasses	subclass	NOUN
ejpam-483	247	20	of	of	ADP
ejpam-483	247	21	analytic	analytic	ADJ
ejpam-483	247	22	functions	function	NOUN
ejpam-483	247	23	,	,	PUNCT
ejpam-483	247	24	j.	j.	PROPN
ejpam-483	247	25	austr	austr	PROPN
ejpam-483	247	26	.	.	PUNCT
ejpam-483	248	1	math	math	PROPN
ejpam-483	248	2	.	.	PUNCT
ejpam-483	249	1	anal	anal	PROPN
ejpam-483	249	2	.	.	PUNCT
ejpam-483	249	3	appl	appl	PROPN
ejpam-483	249	4	.	.	PROPN
ejpam-483	249	5	,	,	PUNCT
ejpam-483	249	6	3(1)(2006	3(1)(2006	NUM
ejpam-483	249	7	)	)	PUNCT
ejpam-483	249	8	,	,	PUNCT
ejpam-483	249	9	art	art	NOUN
ejpam-483	249	10	.	.	PUNCT
ejpam-483	250	1	8	8	NUM
ejpam-483	250	2	,	,	PUNCT
ejpam-483	250	3	1–11	1–11	NOUN
ejpam-483	250	4	.	.	PUNCT
ejpam-483	251	1	[	[	X
ejpam-483	251	2	22	22	NUM
ejpam-483	251	3	]	]	X
ejpam-483	251	4	h.	h.	PROPN
ejpam-483	251	5	m.	m.	PROPN
ejpam-483	251	6	srivastava	srivastava	PROPN
ejpam-483	251	7	and	and	CCONJ
ejpam-483	251	8	a.	a.	PROPN
ejpam-483	251	9	y.	y.	PROPN
ejpam-483	251	10	lashin	lashin	PROPN
ejpam-483	251	11	,	,	PUNCT
ejpam-483	251	12	some	some	DET
ejpam-483	251	13	applications	application	NOUN
ejpam-483	251	14	of	of	ADP
ejpam-483	251	15	the	the	DET
ejpam-483	251	16	briot	briot	NOUN
ejpam-483	251	17	-	-	PUNCT
ejpam-483	251	18	bouquet	bouquet	NOUN
ejpam-483	251	19	differential	differential	NOUN
ejpam-483	251	20	subordination	subordination	NOUN
ejpam-483	251	21	,	,	PUNCT
ejpam-483	251	22	j.	j.	PROPN
ejpam-483	251	23	inequal	inequal	PROPN
ejpam-483	251	24	.	.	PUNCT
ejpam-483	252	1	pure	pure	ADJ
ejpam-483	252	2	appl	appl	PROPN
ejpam-483	252	3	.	.	PUNCT
ejpam-483	252	4	math	math	PROPN
ejpam-483	252	5	.	.	PUNCT
ejpam-483	252	6	,	,	PUNCT
ejpam-483	252	7	6(2)(2005	6(2)(2005	NUM
ejpam-483	252	8	)	)	PUNCT
ejpam-483	252	9	,	,	PUNCT
ejpam-483	252	10	art	art	NOUN
ejpam-483	252	11	.	.	PUNCT
ejpam-483	253	1	41	41	NUM
ejpam-483	253	2	,	,	PUNCT
ejpam-483	253	3	1–7	1–7	X
ejpam-483	253	4	.	.	PUNCT