id	sid	tid	token	lemma	pos
ejpam-1074	1	1	european	european	PROPN
ejpam-1074	1	2	journal	journal	PROPN
ejpam-1074	1	3	of	of	ADP
ejpam-1074	1	4	pure	pure	ADJ
ejpam-1074	1	5	and	and	CCONJ
ejpam-1074	1	6	applied	apply	VERB
ejpam-1074	1	7	mathematics	mathematic	NOUN
ejpam-1074	1	8	vol	vol	NOUN
ejpam-1074	1	9	.	.	PROPN
ejpam-1074	2	1	6	6	NUM
ejpam-1074	2	2	,	,	PUNCT
ejpam-1074	2	3	no	no	INTJ
ejpam-1074	2	4	.	.	NOUN
ejpam-1074	2	5	4	4	NUM
ejpam-1074	2	6	,	,	PUNCT
ejpam-1074	2	7	2013	2013	NUM
ejpam-1074	2	8	,	,	PUNCT
ejpam-1074	2	9	387	387	NUM
ejpam-1074	2	10	-	-	SYM
ejpam-1074	2	11	399	399	NUM
ejpam-1074	2	12	issn	issn	PROPN
ejpam-1074	2	13	1307	1307	NUM
ejpam-1074	2	14	-	-	SYM
ejpam-1074	2	15	5543	5543	NUM
ejpam-1074	2	16	–	–	PUNCT
ejpam-1074	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1074	2	18	argument	argument	NOUN
ejpam-1074	2	19	estimates	estimate	NOUN
ejpam-1074	2	20	of	of	ADP
ejpam-1074	2	21	certain	certain	ADJ
ejpam-1074	2	22	meromorphically	meromorphically	ADV
ejpam-1074	2	23	p	p	ADJ
ejpam-1074	2	24	-	-	PUNCT
ejpam-1074	2	25	valent	valent	NOUN
ejpam-1074	2	26	functions	function	NOUN
ejpam-1074	2	27	defined	define	VERB
ejpam-1074	2	28	by	by	ADP
ejpam-1074	2	29	a	a	DET
ejpam-1074	2	30	linear	linear	ADJ
ejpam-1074	2	31	operator	operator	NOUN
ejpam-1074	2	32	a.	a.	NOUN
ejpam-1074	2	33	o.	o.	PROPN
ejpam-1074	2	34	mostafa	mostafa	PROPN
ejpam-1074	2	35	and	and	CCONJ
ejpam-1074	2	36	m.k.aouf∗	m.k.aouf∗	PROPN
ejpam-1074	2	37	department	department	PROPN
ejpam-1074	2	38	of	of	ADP
ejpam-1074	2	39	mathematics	mathematic	NOUN
ejpam-1074	2	40	,	,	PUNCT
ejpam-1074	2	41	faculty	faculty	NOUN
ejpam-1074	2	42	of	of	ADP
ejpam-1074	2	43	science	science	PROPN
ejpam-1074	2	44	mansoura	mansoura	PROPN
ejpam-1074	2	45	university	university	PROPN
ejpam-1074	2	46	,	,	PUNCT
ejpam-1074	2	47	mansoura	mansoura	PROPN
ejpam-1074	2	48	35516	35516	NUM
ejpam-1074	2	49	,	,	PUNCT
ejpam-1074	2	50	egypt	egypt	PROPN
ejpam-1074	2	51	abstract	abstract	PROPN
ejpam-1074	2	52	.	.	PUNCT
ejpam-1074	3	1	making	make	VERB
ejpam-1074	3	2	use	use	NOUN
ejpam-1074	3	3	of	of	ADP
ejpam-1074	3	4	the	the	DET
ejpam-1074	3	5	linear	linear	ADJ
ejpam-1074	3	6	operator	operator	NOUN
ejpam-1074	3	7	dm	dm	PROPN
ejpam-1074	3	8	λ	λ	PROPN
ejpam-1074	3	9	,	,	PUNCT
ejpam-1074	3	10	p	p	PRON
ejpam-1074	3	11	,	,	PUNCT
ejpam-1074	3	12	we	we	PRON
ejpam-1074	3	13	obtain	obtain	VERB
ejpam-1074	3	14	some	some	DET
ejpam-1074	3	15	argument	argument	NOUN
ejpam-1074	3	16	properties	property	NOUN
ejpam-1074	3	17	of	of	ADP
ejpam-1074	3	18	meromorphically	meromorphically	ADV
ejpam-1074	3	19	p−valent	p−valent	NOUN
ejpam-1074	3	20	functions	function	NOUN
ejpam-1074	3	21	.	.	PUNCT
ejpam-1074	4	1	also	also	ADV
ejpam-1074	4	2	,	,	PUNCT
ejpam-1074	4	3	we	we	PRON
ejpam-1074	4	4	derive	derive	VERB
ejpam-1074	4	5	the	the	DET
ejpam-1074	4	6	integral	integral	ADJ
ejpam-1074	4	7	preserving	preserve	VERB
ejpam-1074	4	8	properties	property	NOUN
ejpam-1074	4	9	in	in	ADP
ejpam-1074	4	10	a	a	DET
ejpam-1074	4	11	sector	sector	NOUN
ejpam-1074	4	12	.	.	PUNCT
ejpam-1074	5	1	2010	2010	NUM
ejpam-1074	5	2	mathematics	mathematic	NOUN
ejpam-1074	5	3	subject	subject	NOUN
ejpam-1074	5	4	classifications	classification	NOUN
ejpam-1074	5	5	:	:	PUNCT
ejpam-1074	5	6	30c45	30c45	NUM
ejpam-1074	5	7	key	key	ADJ
ejpam-1074	5	8	words	word	NOUN
ejpam-1074	5	9	and	and	CCONJ
ejpam-1074	5	10	phrases	phrase	NOUN
ejpam-1074	5	11	:	:	PUNCT
ejpam-1074	5	12	meromorphic	meromorphic	ADJ
ejpam-1074	5	13	function	function	NOUN
ejpam-1074	5	14	,	,	PUNCT
ejpam-1074	5	15	p−valent	p−valent	NOUN
ejpam-1074	5	16	functions	function	NOUN
ejpam-1074	5	17	,	,	PUNCT
ejpam-1074	5	18	linear	linear	ADJ
ejpam-1074	5	19	operator	operator	NOUN
ejpam-1074	5	20	1	1	NUM
ejpam-1074	5	21	.	.	PUNCT
ejpam-1074	5	22	introduction	introduction	NOUN
ejpam-1074	5	23	for	for	ADP
ejpam-1074	5	24	any	any	DET
ejpam-1074	5	25	integer	integer	NOUN
ejpam-1074	5	26	n>−p	n>−p	NOUN
ejpam-1074	5	27	,	,	PUNCT
ejpam-1074	5	28	let	let	VERB
ejpam-1074	5	29	σp	σp	NOUN
ejpam-1074	5	30	,	,	PUNCT
ejpam-1074	5	31	n	n	PRON
ejpam-1074	5	32	denote	denote	VERB
ejpam-1074	5	33	the	the	DET
ejpam-1074	5	34	class	class	NOUN
ejpam-1074	5	35	of	of	ADP
ejpam-1074	5	36	all	all	DET
ejpam-1074	5	37	meromorphic	meromorphic	ADJ
ejpam-1074	5	38	functions	function	NOUN
ejpam-1074	5	39	of	of	ADP
ejpam-1074	5	40	the	the	DET
ejpam-1074	5	41	form	form	NOUN
ejpam-1074	5	42	:	:	PUNCT
ejpam-1074	5	43	f	f	PROPN
ejpam-1074	5	44	(	(	PUNCT
ejpam-1074	5	45	z	z	NOUN
ejpam-1074	5	46	)	)	PUNCT
ejpam-1074	5	47	=	=	PUNCT
ejpam-1074	6	1	z−p	z−p	NOUN
ejpam-1074	6	2	+	+	CCONJ
ejpam-1074	7	1	∞	∞	NUM
ejpam-1074	7	2	∑	∑	PROPN
ejpam-1074	7	3	k	k	X
ejpam-1074	7	4	=	=	PROPN
ejpam-1074	7	5	n	n	NOUN
ejpam-1074	7	6	akzk	akzk	NOUN
ejpam-1074	7	7	(	(	PUNCT
ejpam-1074	7	8	p	p	PROPN
ejpam-1074	7	9	∈	∈	PROPN
ejpam-1074	7	10	n=	n=	ADJ
ejpam-1074	7	11	{	{	PUNCT
ejpam-1074	7	12	1,2	1,2	NUM
ejpam-1074	7	13	,	,	PUNCT
ejpam-1074	7	14	.	.	PUNCT
ejpam-1074	7	15	.	.	PUNCT
ejpam-1074	7	16	.	.	PUNCT
ejpam-1074	8	1	}	}	PUNCT
ejpam-1074	8	2	)	)	PUNCT
ejpam-1074	8	3	,	,	PUNCT
ejpam-1074	8	4	(	(	PUNCT
ejpam-1074	8	5	1	1	X
ejpam-1074	8	6	)	)	PUNCT
ejpam-1074	8	7	which	which	PRON
ejpam-1074	8	8	are	be	AUX
ejpam-1074	8	9	analytic	analytic	ADJ
ejpam-1074	8	10	and	and	CCONJ
ejpam-1074	8	11	p−valent	p−valent	NOUN
ejpam-1074	8	12	in	in	ADP
ejpam-1074	8	13	the	the	DET
ejpam-1074	8	14	punctured	punctured	ADJ
ejpam-1074	8	15	unit	unit	NOUN
ejpam-1074	8	16	disk	disk	NOUN
ejpam-1074	8	17	u∗	u∗	NOUN
ejpam-1074	8	18	=	=	SYM
ejpam-1074	8	19	{	{	PUNCT
ejpam-1074	8	20	z	z	NOUN
ejpam-1074	8	21	:	:	PUNCT
ejpam-1074	9	1	z	z	X
ejpam-1074	9	2	∈	∈	PROPN
ejpam-1074	9	3	c	c	X
ejpam-1074	9	4	,	,	PUNCT
ejpam-1074	9	5	0	0	NUM
ejpam-1074	9	6	<	<	X
ejpam-1074	9	7	|z|	|z|	PROPN
ejpam-1074	9	8	<	<	X
ejpam-1074	9	9	1}=	1}=	NUM
ejpam-1074	9	10	u\{0	u\{0	NOUN
ejpam-1074	9	11	}	}	PUNCT
ejpam-1074	9	12	.	.	PUNCT
ejpam-1074	10	1	let	let	VERB
ejpam-1074	10	2	f	f	PRON
ejpam-1074	10	3	,	,	PUNCT
ejpam-1074	10	4	g	g	PROPN
ejpam-1074	10	5	be	be	AUX
ejpam-1074	10	6	analytic	analytic	ADJ
ejpam-1074	10	7	functions	function	NOUN
ejpam-1074	10	8	in	in	ADP
ejpam-1074	10	9	u	u	PROPN
ejpam-1074	10	10	.	.	PUNCT
ejpam-1074	11	1	then	then	ADV
ejpam-1074	11	2	we	we	PRON
ejpam-1074	11	3	say	say	VERB
ejpam-1074	11	4	that	that	SCONJ
ejpam-1074	11	5	f	f	PROPN
ejpam-1074	11	6	is	be	AUX
ejpam-1074	11	7	subordinate	subordinate	ADJ
ejpam-1074	11	8	to	to	ADP
ejpam-1074	11	9	g	g	NOUN
ejpam-1074	11	10	,	,	PUNCT
ejpam-1074	11	11	written	write	VERB
ejpam-1074	11	12	f	f	PROPN
ejpam-1074	11	13	≺	≺	VERB
ejpam-1074	11	14	g	g	NOUN
ejpam-1074	11	15	if	if	SCONJ
ejpam-1074	11	16	there	there	PRON
ejpam-1074	11	17	exists	exist	VERB
ejpam-1074	11	18	an	an	DET
ejpam-1074	11	19	analytic	analytic	ADJ
ejpam-1074	11	20	function	function	NOUN
ejpam-1074	11	21	w(z	w(z	NOUN
ejpam-1074	11	22	)	)	PUNCT
ejpam-1074	11	23	in	in	ADP
ejpam-1074	11	24	u	u	PRON
ejpam-1074	11	25	such	such	ADJ
ejpam-1074	11	26	that	that	SCONJ
ejpam-1074	11	27	|w(z)|	|w(z)|	VERB
ejpam-1074	11	28	<	<	X
ejpam-1074	11	29	1	1	NUM
ejpam-1074	11	30	(	(	PUNCT
ejpam-1074	11	31	z	z	NOUN
ejpam-1074	11	32	∈	∈	PROPN
ejpam-1074	11	33	u	u	NOUN
ejpam-1074	11	34	)	)	PUNCT
ejpam-1074	11	35	and	and	CCONJ
ejpam-1074	11	36	f	f	PROPN
ejpam-1074	11	37	(	(	PUNCT
ejpam-1074	11	38	z	z	NOUN
ejpam-1074	11	39	)	)	PUNCT
ejpam-1074	11	40	=	=	PUNCT
ejpam-1074	11	41	g(w(z	g(w(z	PROPN
ejpam-1074	11	42	)	)	PUNCT
ejpam-1074	11	43	)	)	PUNCT
ejpam-1074	11	44	.	.	PUNCT
ejpam-1074	12	1	for	for	ADP
ejpam-1074	12	2	this	this	DET
ejpam-1074	12	3	subordination	subordination	NOUN
ejpam-1074	12	4	,	,	PUNCT
ejpam-1074	12	5	the	the	DET
ejpam-1074	12	6	symbol	symbol	NOUN
ejpam-1074	12	7	f	f	X
ejpam-1074	12	8	(	(	PUNCT
ejpam-1074	12	9	z	z	NOUN
ejpam-1074	12	10	)	)	PUNCT
ejpam-1074	12	11	≺	≺	NOUN
ejpam-1074	12	12	g(z	g(z	PROPN
ejpam-1074	12	13	)	)	PUNCT
ejpam-1074	12	14	is	be	AUX
ejpam-1074	12	15	used	use	VERB
ejpam-1074	12	16	.	.	PUNCT
ejpam-1074	13	1	in	in	ADP
ejpam-1074	13	2	the	the	DET
ejpam-1074	13	3	case	case	NOUN
ejpam-1074	13	4	g(z	g(z	PROPN
ejpam-1074	13	5	)	)	PUNCT
ejpam-1074	13	6	is	be	AUX
ejpam-1074	13	7	univalent	univalent	ADJ
ejpam-1074	13	8	in	in	ADP
ejpam-1074	13	9	u	u	PROPN
ejpam-1074	13	10	,	,	PUNCT
ejpam-1074	13	11	the	the	DET
ejpam-1074	13	12	subordination	subordination	NOUN
ejpam-1074	13	13	f	f	X
ejpam-1074	13	14	(	(	PUNCT
ejpam-1074	13	15	z	z	NOUN
ejpam-1074	13	16	)	)	PUNCT
ejpam-1074	13	17	≺	≺	NOUN
ejpam-1074	13	18	g(z	g(z	PROPN
ejpam-1074	13	19	)	)	PUNCT
ejpam-1074	13	20	is	be	AUX
ejpam-1074	13	21	equivalent	equivalent	ADJ
ejpam-1074	13	22	to	to	ADP
ejpam-1074	13	23	g(0	g(0	VERB
ejpam-1074	13	24	)	)	PUNCT
ejpam-1074	14	1	=	=	SYM
ejpam-1074	14	2	f	f	PROPN
ejpam-1074	14	3	(	(	PUNCT
ejpam-1074	14	4	0	0	NUM
ejpam-1074	14	5	)	)	PUNCT
ejpam-1074	14	6	and	and	CCONJ
ejpam-1074	14	7	f	f	PROPN
ejpam-1074	14	8	(	(	PUNCT
ejpam-1074	14	9	u	u	NOUN
ejpam-1074	14	10	)	)	PUNCT
ejpam-1074	14	11	⊂	⊂	PROPN
ejpam-1074	14	12	g(u	g(u	PROPN
ejpam-1074	14	13	)	)	PUNCT
ejpam-1074	14	14	.	.	PUNCT
ejpam-1074	15	1	for	for	ADP
ejpam-1074	15	2	functions	function	NOUN
ejpam-1074	15	3	f	f	X
ejpam-1074	15	4	(	(	PUNCT
ejpam-1074	15	5	z	z	NOUN
ejpam-1074	15	6	)	)	PUNCT
ejpam-1074	15	7	∈	∈	PROPN
ejpam-1074	15	8	σp	σp	PROPN
ejpam-1074	15	9	,	,	PUNCT
ejpam-1074	15	10	n	n	CCONJ
ejpam-1074	15	11	given	give	VERB
ejpam-1074	15	12	by	by	ADP
ejpam-1074	15	13	(	(	PUNCT
ejpam-1074	15	14	1	1	NUM
ejpam-1074	15	15	)	)	PUNCT
ejpam-1074	15	16	and	and	CCONJ
ejpam-1074	15	17	g(z	g(z	PROPN
ejpam-1074	15	18	)	)	PUNCT
ejpam-1074	15	19	∈	∈	PROPN
ejpam-1074	15	20	σp	σp	PROPN
ejpam-1074	15	21	,	,	PUNCT
ejpam-1074	15	22	n	n	CCONJ
ejpam-1074	15	23	given	give	VERB
ejpam-1074	15	24	by	by	ADP
ejpam-1074	15	25	g(z	g(z	PROPN
ejpam-1074	15	26	)	)	PUNCT
ejpam-1074	15	27	=	=	PUNCT
ejpam-1074	15	28	z−p	z−p	NOUN
ejpam-1074	15	29	+	+	CCONJ
ejpam-1074	15	30	∞	∞	NUM
ejpam-1074	15	31	∑	∑	PROPN
ejpam-1074	15	32	k	k	X
ejpam-1074	15	33	=	=	NOUN
ejpam-1074	15	34	n	n	PRON
ejpam-1074	15	35	bkzk	bkzk	VERB
ejpam-1074	15	36	,	,	PUNCT
ejpam-1074	15	37	(	(	PUNCT
ejpam-1074	15	38	2	2	X
ejpam-1074	15	39	)	)	PUNCT
ejpam-1074	15	40	∗corresponding	∗corresponde	VERB
ejpam-1074	15	41	author	author	NOUN
ejpam-1074	15	42	.	.	PUNCT
ejpam-1074	16	1	email	email	NOUN
ejpam-1074	16	2	addresses	address	NOUN
ejpam-1074	16	3	:	:	PUNCT
ejpam-1074	16	4	adelaeg254@yahoo.com	adelaeg254@yahoo.com	X
ejpam-1074	16	5	(	(	PUNCT
ejpam-1074	16	6	a.	a.	PROPN
ejpam-1074	16	7	mostafa	mostafa	PROPN
ejpam-1074	16	8	)	)	PUNCT
ejpam-1074	16	9	,	,	PUNCT
ejpam-1074	16	10	mkaouf127@yahoo.com	mkaouf127@yahoo.com	X
ejpam-1074	16	11	(	(	PUNCT
ejpam-1074	16	12	m.	m.	PROPN
ejpam-1074	16	13	aouf	aouf	PROPN
ejpam-1074	16	14	)	)	PUNCT
ejpam-1074	16	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1074	17	1	387	387	NUM
ejpam-1074	17	2	c	c	X
ejpam-1074	17	3	©	©	PROPN
ejpam-1074	17	4	2013	2013	NUM
ejpam-1074	17	5	ejpam	ejpam	NOUN
ejpam-1074	17	6	all	all	DET
ejpam-1074	17	7	rights	right	NOUN
ejpam-1074	17	8	reserved	reserve	VERB
ejpam-1074	17	9	.	.	PUNCT
ejpam-1074	18	1	a.	a.	PROPN
ejpam-1074	18	2	mostafa	mostafa	PROPN
ejpam-1074	18	3	and	and	CCONJ
ejpam-1074	18	4	m.	m.	PROPN
ejpam-1074	18	5	aouf	aouf	PROPN
ejpam-1074	18	6	/	/	SYM
ejpam-1074	18	7	eur	eur	PROPN
ejpam-1074	18	8	.	.	PUNCT
ejpam-1074	19	1	j.	j.	PROPN
ejpam-1074	19	2	pure	pure	PROPN
ejpam-1074	19	3	appl	appl	PROPN
ejpam-1074	19	4	.	.	PROPN
ejpam-1074	19	5	math	math	PROPN
ejpam-1074	19	6	,	,	PUNCT
ejpam-1074	19	7	6	6	NUM
ejpam-1074	19	8	(	(	PUNCT
ejpam-1074	19	9	2013	2013	NUM
ejpam-1074	19	10	)	)	PUNCT
ejpam-1074	19	11	,	,	PUNCT
ejpam-1074	19	12	387	387	NUM
ejpam-1074	19	13	-	-	SYM
ejpam-1074	19	14	399	399	NUM
ejpam-1074	19	15	388	388	NUM
ejpam-1074	19	16	we	we	PRON
ejpam-1074	19	17	define	define	VERB
ejpam-1074	19	18	the	the	DET
ejpam-1074	19	19	hadamard	hadamard	ADJ
ejpam-1074	19	20	product	product	NOUN
ejpam-1074	19	21	(	(	PUNCT
ejpam-1074	19	22	or	or	CCONJ
ejpam-1074	19	23	convolution	convolution	NOUN
ejpam-1074	19	24	)	)	PUNCT
ejpam-1074	19	25	of	of	ADP
ejpam-1074	19	26	f	f	PROPN
ejpam-1074	19	27	and	and	CCONJ
ejpam-1074	19	28	g	g	PROPN
ejpam-1074	19	29	as	as	ADP
ejpam-1074	19	30	(	(	PUNCT
ejpam-1074	19	31	f	f	PROPN
ejpam-1074	19	32	∗	∗	PROPN
ejpam-1074	19	33	g)(z	g)(z	PUNCT
ejpam-1074	19	34	)	)	PUNCT
ejpam-1074	19	35	=	=	PUNCT
ejpam-1074	19	36	z−p	z−p	NOUN
ejpam-1074	19	37	+	+	CCONJ
ejpam-1074	19	38	∞	∞	NUM
ejpam-1074	19	39	∑	∑	PROPN
ejpam-1074	19	40	k	k	X
ejpam-1074	19	41	=	=	PROPN
ejpam-1074	19	42	n	n	SYM
ejpam-1074	19	43	ak	ak	PROPN
ejpam-1074	19	44	bkzk	bkzk	NOUN
ejpam-1074	19	45	=	=	PUNCT
ejpam-1074	19	46	(	(	PUNCT
ejpam-1074	19	47	g	g	PROPN
ejpam-1074	19	48	∗	∗	X
ejpam-1074	19	49	f	f	PROPN
ejpam-1074	19	50	)	)	PUNCT
ejpam-1074	19	51	(	(	PUNCT
ejpam-1074	19	52	z	z	NOUN
ejpam-1074	19	53	)	)	PUNCT
ejpam-1074	19	54	,	,	PUNCT
ejpam-1074	19	55	(	(	PUNCT
ejpam-1074	19	56	3	3	X
ejpam-1074	19	57	)	)	PUNCT
ejpam-1074	19	58	following	follow	VERB
ejpam-1074	19	59	the	the	DET
ejpam-1074	19	60	recent	recent	ADJ
ejpam-1074	19	61	works	work	NOUN
ejpam-1074	19	62	of	of	ADP
ejpam-1074	19	63	aouf	aouf	PROPN
ejpam-1074	19	64	and	and	CCONJ
ejpam-1074	19	65	hossen	hossen	NOUN
ejpam-1074	19	66	[	[	X
ejpam-1074	19	67	4	4	NUM
ejpam-1074	19	68	]	]	PUNCT
ejpam-1074	19	69	,	,	PUNCT
ejpam-1074	19	70	liu	liu	PROPN
ejpam-1074	19	71	and	and	CCONJ
ejpam-1074	19	72	srivastava	srivastava	PROPN
ejpam-1074	20	1	[	[	X
ejpam-1074	20	2	7	7	NUM
ejpam-1074	20	3	]	]	PUNCT
ejpam-1074	20	4	and	and	CCONJ
ejpam-1074	20	5	srivastava	srivastava	PROPN
ejpam-1074	20	6	and	and	CCONJ
ejpam-1074	20	7	patel	patel	PROPN
ejpam-1074	21	1	[	[	X
ejpam-1074	21	2	11	11	NUM
ejpam-1074	21	3	]	]	PUNCT
ejpam-1074	21	4	,	,	PUNCT
ejpam-1074	21	5	for	for	ADP
ejpam-1074	21	6	a	a	DET
ejpam-1074	21	7	function	function	NOUN
ejpam-1074	21	8	f	f	X
ejpam-1074	21	9	(	(	PUNCT
ejpam-1074	21	10	z	z	NOUN
ejpam-1074	21	11	)	)	PUNCT
ejpam-1074	21	12	∈	∈	PROPN
ejpam-1074	21	13	σp	σp	PROPN
ejpam-1074	21	14	,	,	PUNCT
ejpam-1074	21	15	n	n	CCONJ
ejpam-1074	21	16	given	give	VERB
ejpam-1074	21	17	by	by	ADP
ejpam-1074	21	18	(	(	PUNCT
ejpam-1074	21	19	1	1	NUM
ejpam-1074	21	20	)	)	PUNCT
ejpam-1074	21	21	,	,	PUNCT
ejpam-1074	21	22	we	we	PRON
ejpam-1074	21	23	now	now	ADV
ejpam-1074	21	24	define	define	VERB
ejpam-1074	21	25	a	a	DET
ejpam-1074	21	26	linear	linear	ADJ
ejpam-1074	21	27	operator	operator	NOUN
ejpam-1074	21	28	dm	dm	PROPN
ejpam-1074	21	29	λ	λ	PROPN
ejpam-1074	21	30	,	,	PUNCT
ejpam-1074	21	31	p	p	X
ejpam-1074	21	32	(	(	PUNCT
ejpam-1074	21	33	λ≥	λ≥	PROPN
ejpam-1074	21	34	0	0	NUM
ejpam-1074	21	35	,	,	PUNCT
ejpam-1074	21	36	p	p	PROPN
ejpam-1074	21	37	∈	∈	PROPN
ejpam-1074	21	38	n	n	CCONJ
ejpam-1074	21	39	,	,	PUNCT
ejpam-1074	21	40	m	m	PROPN
ejpam-1074	21	41	∈	∈	PROPN
ejpam-1074	21	42	n0	n0	X
ejpam-1074	21	43	=	=	SYM
ejpam-1074	21	44	n∪	n∪	PROPN
ejpam-1074	21	45	{	{	PUNCT
ejpam-1074	21	46	0	0	NUM
ejpam-1074	21	47	}	}	PUNCT
ejpam-1074	21	48	)	)	PUNCT
ejpam-1074	21	49	by	by	ADP
ejpam-1074	21	50	d0	d0	PROPN
ejpam-1074	21	51	λ	λ	PROPN
ejpam-1074	21	52	,	,	PUNCT
ejpam-1074	21	53	p	p	PROPN
ejpam-1074	21	54	f	f	X
ejpam-1074	21	55	(	(	PUNCT
ejpam-1074	21	56	z	z	NOUN
ejpam-1074	21	57	)	)	PUNCT
ejpam-1074	22	1	=	=	SYM
ejpam-1074	22	2	f	f	X
ejpam-1074	22	3	(	(	PUNCT
ejpam-1074	22	4	z	z	NOUN
ejpam-1074	22	5	)	)	PUNCT
ejpam-1074	22	6	d1	d1	PROPN
ejpam-1074	22	7	λ	λ	PROPN
ejpam-1074	22	8	,	,	PUNCT
ejpam-1074	22	9	p	p	PROPN
ejpam-1074	22	10	f	f	X
ejpam-1074	22	11	(	(	PUNCT
ejpam-1074	22	12	z	z	NOUN
ejpam-1074	22	13	)	)	PUNCT
ejpam-1074	23	1	=	=	NOUN
ejpam-1074	23	2	dλ	dλ	NOUN
ejpam-1074	23	3	,	,	PUNCT
ejpam-1074	23	4	p	p	NOUN
ejpam-1074	23	5	f	f	X
ejpam-1074	23	6	(	(	PUNCT
ejpam-1074	23	7	z	z	NOUN
ejpam-1074	23	8	)	)	PUNCT
ejpam-1074	23	9	=	=	SYM
ejpam-1074	23	10	(	(	PUNCT
ejpam-1074	23	11	1−λ	1−λ	NUM
ejpam-1074	23	12	)	)	PUNCT
ejpam-1074	23	13	f	f	NOUN
ejpam-1074	23	14	(	(	PUNCT
ejpam-1074	23	15	z	z	X
ejpam-1074	23	16	)	)	PUNCT
ejpam-1074	23	17	λ	λ	PROPN
ejpam-1074	23	18	zp	zp	X
ejpam-1074	23	19	(	(	PUNCT
ejpam-1074	23	20	z	z	NOUN
ejpam-1074	23	21	p+1	p+1	NOUN
ejpam-1074	23	22	f	f	X
ejpam-1074	23	23	(	(	PUNCT
ejpam-1074	23	24	z))′	z))′	X
ejpam-1074	23	25	=	=	NOUN
ejpam-1074	23	26	z−p	z−p	X
ejpam-1074	23	27	+	+	X
ejpam-1074	23	28	∞	∞	NUM
ejpam-1074	23	29	∑	∑	PUNCT
ejpam-1074	23	30	k	k	X
ejpam-1074	23	31	=	=	PROPN
ejpam-1074	23	32	n	n	PRON
ejpam-1074	23	33	[	[	X
ejpam-1074	23	34	1+λ(k+	1+λ(k+	NUM
ejpam-1074	23	35	p)]akzk	p)]akzk	PROPN
ejpam-1074	23	36	,	,	PUNCT
ejpam-1074	23	37	d2	d2	PROPN
ejpam-1074	23	38	λ	λ	PROPN
ejpam-1074	23	39	,	,	PUNCT
ejpam-1074	23	40	p	p	PROPN
ejpam-1074	23	41	f	f	X
ejpam-1074	23	42	(	(	PUNCT
ejpam-1074	23	43	z	z	NOUN
ejpam-1074	23	44	)	)	PUNCT
ejpam-1074	23	45	=	=	NOUN
ejpam-1074	23	46	dλ	dλ	NOUN
ejpam-1074	23	47	,	,	PUNCT
ejpam-1074	23	48	p(dλ	p(dλ	PROPN
ejpam-1074	23	49	,	,	PUNCT
ejpam-1074	23	50	p	p	PROPN
ejpam-1074	23	51	f	f	X
ejpam-1074	23	52	(	(	PUNCT
ejpam-1074	23	53	z	z	NOUN
ejpam-1074	23	54	)	)	PUNCT
ejpam-1074	23	55	)	)	PUNCT
ejpam-1074	24	1	=	=	PUNCT
ejpam-1074	24	2	z−p	z−p	NOUN
ejpam-1074	24	3	+	+	CCONJ
ejpam-1074	24	4	∞	∞	NUM
ejpam-1074	24	5	∑	∑	PROPN
ejpam-1074	24	6	k	k	X
ejpam-1074	24	7	=	=	PROPN
ejpam-1074	24	8	n	n	PRON
ejpam-1074	25	1	[	[	X
ejpam-1074	25	2	1+λ(k+	1+λ(k+	X
ejpam-1074	25	3	p)]2akzk	p)]2akzk	NOUN
ejpam-1074	25	4	and	and	CCONJ
ejpam-1074	25	5	(	(	PUNCT
ejpam-1074	25	6	in	in	ADP
ejpam-1074	25	7	general	general	ADJ
ejpam-1074	25	8	)	)	PUNCT
ejpam-1074	25	9	dm	dm	PROPN
ejpam-1074	25	10	λ	λ	PROPN
ejpam-1074	25	11	,	,	PUNCT
ejpam-1074	25	12	p	p	PROPN
ejpam-1074	25	13	f	f	X
ejpam-1074	25	14	(	(	PUNCT
ejpam-1074	25	15	z	z	NOUN
ejpam-1074	25	16	)	)	PUNCT
ejpam-1074	25	17	=	=	SYM
ejpam-1074	25	18	dλ	dλ	NOUN
ejpam-1074	25	19	,	,	PUNCT
ejpam-1074	25	20	p(d	p(d	PROPN
ejpam-1074	25	21	m−1	m−1	PROPN
ejpam-1074	25	22	λ	λ	PROPN
ejpam-1074	25	23	,	,	PUNCT
ejpam-1074	25	24	p	p	PROPN
ejpam-1074	25	25	f	f	X
ejpam-1074	25	26	(	(	PUNCT
ejpam-1074	25	27	z	z	NOUN
ejpam-1074	25	28	)	)	PUNCT
ejpam-1074	25	29	)	)	PUNCT
ejpam-1074	26	1	=	=	PUNCT
ejpam-1074	26	2	z−p	z−p	NOUN
ejpam-1074	26	3	+	+	CCONJ
ejpam-1074	26	4	∞	∞	NUM
ejpam-1074	26	5	∑	∑	PROPN
ejpam-1074	26	6	k	k	X
ejpam-1074	26	7	=	=	PROPN
ejpam-1074	26	8	n	n	PRON
ejpam-1074	26	9	[	[	X
ejpam-1074	26	10	1+λ(k+	1+λ(k+	NUM
ejpam-1074	26	11	p)]makzk	p)]makzk	ADJ
ejpam-1074	26	12	,	,	PUNCT
ejpam-1074	26	13	λ≥	λ≥	ADP
ejpam-1074	26	14	0	0	NUM
ejpam-1074	26	15	.	.	PUNCT
ejpam-1074	27	1	(	(	PUNCT
ejpam-1074	27	2	4	4	NUM
ejpam-1074	27	3	)	)	PUNCT
ejpam-1074	27	4	also	also	ADV
ejpam-1074	27	5	,	,	PUNCT
ejpam-1074	27	6	we	we	PRON
ejpam-1074	27	7	can	can	AUX
ejpam-1074	27	8	write	write	VERB
ejpam-1074	27	9	dm	dm	PROPN
ejpam-1074	27	10	λ	λ	PROPN
ejpam-1074	27	11	,	,	PUNCT
ejpam-1074	27	12	p	p	PROPN
ejpam-1074	27	13	f	f	X
ejpam-1074	27	14	(	(	PUNCT
ejpam-1074	27	15	z	z	NOUN
ejpam-1074	27	16	)	)	PUNCT
ejpam-1074	27	17	as	as	SCONJ
ejpam-1074	27	18	follows	follow	VERB
ejpam-1074	27	19	dm	dm	PROPN
ejpam-1074	27	20	λ	λ	PROPN
ejpam-1074	27	21	,	,	PUNCT
ejpam-1074	27	22	p	p	PROPN
ejpam-1074	27	23	f	f	X
ejpam-1074	27	24	(	(	PUNCT
ejpam-1074	27	25	z	z	NOUN
ejpam-1074	27	26	)	)	PUNCT
ejpam-1074	27	27	=	=	PUNCT
ejpam-1074	28	1	z−p	z−p	NOUN
ejpam-1074	28	2	+	+	CCONJ
ejpam-1074	29	1	∞	∞	NUM
ejpam-1074	29	2	∑	∑	PROPN
ejpam-1074	29	3	k	k	X
ejpam-1074	29	4	=	=	PROPN
ejpam-1074	29	5	n	n	PRON
ejpam-1074	29	6	[	[	X
ejpam-1074	29	7	1+λ(k+	1+λ(k+	X
ejpam-1074	29	8	p)]mzk	p)]mzk	ADV
ejpam-1074	29	9	!	!	PUNCT
ejpam-1074	30	1	(	(	PUNCT
ejpam-1074	30	2	z	z	X
ejpam-1074	30	3	)	)	PUNCT
ejpam-1074	30	4	=(	=(	NOUN
ejpam-1074	30	5	f	f	PROPN
ejpam-1074	30	6	∗φm	∗φm	PROPN
ejpam-1074	30	7	λ	λ	PROPN
ejpam-1074	30	8	,	,	PUNCT
ejpam-1074	30	9	p)(z	p)(z	NOUN
ejpam-1074	30	10	)	)	PUNCT
ejpam-1074	30	11	,	,	PUNCT
ejpam-1074	30	12	(	(	PUNCT
ejpam-1074	30	13	5	5	X
ejpam-1074	30	14	)	)	PUNCT
ejpam-1074	31	1	where	where	SCONJ
ejpam-1074	31	2	φm	φm	VERB
ejpam-1074	31	3	λ	λ	X
ejpam-1074	31	4	,	,	PUNCT
ejpam-1074	31	5	p(z	p(z	NOUN
ejpam-1074	31	6	)	)	PUNCT
ejpam-1074	31	7	=	=	PUNCT
ejpam-1074	31	8	z−p	z−p	NOUN
ejpam-1074	31	9	+	+	CCONJ
ejpam-1074	31	10	∞	∞	NUM
ejpam-1074	31	11	∑	∑	PROPN
ejpam-1074	31	12	k	k	X
ejpam-1074	31	13	=	=	PROPN
ejpam-1074	31	14	n	n	PRON
ejpam-1074	31	15	[	[	X
ejpam-1074	31	16	1+λ(k+	1+λ(k+	X
ejpam-1074	31	17	p)]mzk	p)]mzk	NOUN
ejpam-1074	31	18	.	.	PUNCT
ejpam-1074	32	1	it	it	PRON
ejpam-1074	32	2	is	be	AUX
ejpam-1074	32	3	easily	easily	ADV
ejpam-1074	32	4	verified	verify	VERB
ejpam-1074	32	5	from	from	ADP
ejpam-1074	32	6	(	(	PUNCT
ejpam-1074	32	7	4	4	NUM
ejpam-1074	32	8	)	)	PUNCT
ejpam-1074	32	9	that	that	SCONJ
ejpam-1074	32	10	λz(dm	λz(dm	PROPN
ejpam-1074	32	11	λ	λ	PROPN
ejpam-1074	32	12	,	,	PUNCT
ejpam-1074	32	13	p	p	PROPN
ejpam-1074	32	14	f	f	X
ejpam-1074	32	15	(	(	PUNCT
ejpam-1074	32	16	z))′	z))′	PROPN
ejpam-1074	32	17	=	=	SYM
ejpam-1074	32	18	dm+1	dm+1	PROPN
ejpam-1074	32	19	λ	λ	NOUN
ejpam-1074	32	20	,	,	PUNCT
ejpam-1074	32	21	p	p	PROPN
ejpam-1074	32	22	f	f	X
ejpam-1074	32	23	(	(	PUNCT
ejpam-1074	32	24	z)−	z)−	PROPN
ejpam-1074	32	25	(	(	PUNCT
ejpam-1074	32	26	1+λp)dm	1+λp)dm	NUM
ejpam-1074	32	27	λ	λ	PROPN
ejpam-1074	32	28	,	,	PUNCT
ejpam-1074	32	29	p	p	PROPN
ejpam-1074	32	30	f	f	X
ejpam-1074	32	31	(	(	PUNCT
ejpam-1074	32	32	z	z	NOUN
ejpam-1074	32	33	)	)	PUNCT
ejpam-1074	32	34	,	,	PUNCT
ejpam-1074	32	35	λ	λ	X
ejpam-1074	32	36	>	>	X
ejpam-1074	32	37	0	0	NUM
ejpam-1074	32	38	.	.	PUNCT
ejpam-1074	33	1	(	(	PUNCT
ejpam-1074	33	2	6	6	NUM
ejpam-1074	33	3	)	)	PUNCT
ejpam-1074	33	4	the	the	DET
ejpam-1074	33	5	operator	operator	NOUN
ejpam-1074	33	6	dm	dm	PROPN
ejpam-1074	33	7	λ	λ	PROPN
ejpam-1074	33	8	,	,	PUNCT
ejpam-1074	33	9	p	p	PROPN
ejpam-1074	33	10	was	be	AUX
ejpam-1074	33	11	introduced	introduce	VERB
ejpam-1074	33	12	by	by	ADP
ejpam-1074	33	13	aouf	aouf	PROPN
ejpam-1074	34	1	[	[	X
ejpam-1074	34	2	3	3	NUM
ejpam-1074	34	3	]	]	PUNCT
ejpam-1074	34	4	.	.	PUNCT
ejpam-1074	35	1	for	for	ADP
ejpam-1074	35	2	a	a	DET
ejpam-1074	35	3	function	function	NOUN
ejpam-1074	35	4	f	f	X
ejpam-1074	35	5	(	(	PUNCT
ejpam-1074	35	6	z	z	NOUN
ejpam-1074	35	7	)	)	PUNCT
ejpam-1074	35	8	∈	∈	PROPN
ejpam-1074	35	9	σp	σp	PROPN
ejpam-1074	35	10	,	,	PUNCT
ejpam-1074	35	11	n	n	PROPN
ejpam-1074	35	12	and	and	CCONJ
ejpam-1074	35	13	υ	υ	ADJ
ejpam-1074	35	14	>	>	X
ejpam-1074	35	15	0	0	PROPN
ejpam-1074	35	16	,	,	PUNCT
ejpam-1074	35	17	the	the	DET
ejpam-1074	35	18	integral	integral	ADJ
ejpam-1074	35	19	operator	operator	NOUN
ejpam-1074	35	20	fυ	fυ	NOUN
ejpam-1074	35	21	,	,	PUNCT
ejpam-1074	35	22	p	p	X
ejpam-1074	35	23	(	(	PUNCT
ejpam-1074	35	24	f	f	PROPN
ejpam-1074	35	25	)	)	PUNCT
ejpam-1074	35	26	(	(	PUNCT
ejpam-1074	35	27	z	z	NOUN
ejpam-1074	35	28	)	)	PUNCT
ejpam-1074	35	29	:	:	PUNCT
ejpam-1074	35	30	σp	σp	PROPN
ejpam-1074	35	31	,	,	PUNCT
ejpam-1074	35	32	n	n	PROPN
ejpam-1074	35	33	→	→	SYM
ejpam-1074	35	34	σp	σp	PROPN
ejpam-1074	35	35	,	,	PUNCT
ejpam-1074	35	36	n	n	X
ejpam-1074	35	37	is	be	AUX
ejpam-1074	35	38	defined	define	VERB
ejpam-1074	35	39	by	by	ADP
ejpam-1074	35	40	fυ	fυ	ADV
ejpam-1074	35	41	,	,	PUNCT
ejpam-1074	35	42	p	p	X
ejpam-1074	35	43	(	(	PUNCT
ejpam-1074	35	44	f	f	PROPN
ejpam-1074	35	45	)	)	PUNCT
ejpam-1074	35	46	(	(	PUNCT
ejpam-1074	35	47	z	z	NOUN
ejpam-1074	35	48	)	)	PUNCT
ejpam-1074	35	49	=	=	SYM
ejpam-1074	35	50	υ	υ	PROPN
ejpam-1074	35	51	zυ+p	zυ+p	PROPN
ejpam-1074	35	52	z	z	NOUN
ejpam-1074	35	53	∫	∫	PROPN
ejpam-1074	35	54	0	0	PUNCT
ejpam-1074	36	1	tυ+p−1	tυ+p−1	NOUN
ejpam-1074	36	2	f	f	PROPN
ejpam-1074	36	3	(	(	PUNCT
ejpam-1074	36	4	t)d	t)d	PROPN
ejpam-1074	36	5	t	t	PROPN
ejpam-1074	36	6	a.	a.	PROPN
ejpam-1074	36	7	mostafa	mostafa	PROPN
ejpam-1074	36	8	and	and	CCONJ
ejpam-1074	36	9	m.	m.	PROPN
ejpam-1074	36	10	aouf	aouf	PROPN
ejpam-1074	36	11	/	/	SYM
ejpam-1074	36	12	eur	eur	PROPN
ejpam-1074	36	13	.	.	PUNCT
ejpam-1074	37	1	j.	j.	PROPN
ejpam-1074	37	2	pure	pure	PROPN
ejpam-1074	37	3	appl	appl	PROPN
ejpam-1074	37	4	.	.	PROPN
ejpam-1074	37	5	math	math	PROPN
ejpam-1074	37	6	,	,	PUNCT
ejpam-1074	37	7	6	6	NUM
ejpam-1074	37	8	(	(	PUNCT
ejpam-1074	37	9	2013	2013	NUM
ejpam-1074	37	10	)	)	PUNCT
ejpam-1074	37	11	,	,	PUNCT
ejpam-1074	37	12	387	387	NUM
ejpam-1074	37	13	-	-	SYM
ejpam-1074	37	14	399	399	NUM
ejpam-1074	37	15	389	389	NUM
ejpam-1074	37	16	=	=	NOUN
ejpam-1074	37	17	z−p	z−p	X
ejpam-1074	37	18	+	+	X
ejpam-1074	38	1	∞	∞	NUM
ejpam-1074	38	2	∑	∑	PROPN
ejpam-1074	38	3	k	k	X
ejpam-1074	38	4	=	=	PROPN
ejpam-1074	38	5	n	n	PRON
ejpam-1074	38	6	�	�	PROPN
ejpam-1074	38	7	υ	υ	PROPN
ejpam-1074	38	8	υ+	υ+	PROPN
ejpam-1074	38	9	p+	p+	PROPN
ejpam-1074	38	10	k	k	PROPN
ejpam-1074	38	11	�	�	PROPN
ejpam-1074	38	12	akzk	akzk	PROPN
ejpam-1074	38	13	=	=	PUNCT
ejpam-1074	38	14	z−p	z−p	PROPN
ejpam-1074	38	15	+	+	CCONJ
ejpam-1074	38	16	∞	∞	NUM
ejpam-1074	38	17	∑	∑	PROPN
ejpam-1074	38	18	k	k	X
ejpam-1074	38	19	=	=	PROPN
ejpam-1074	38	20	n	n	PRON
ejpam-1074	38	21	�	�	PROPN
ejpam-1074	38	22	υ	υ	PROPN
ejpam-1074	38	23	υ+	υ+	PROPN
ejpam-1074	38	24	p+	p+	PROPN
ejpam-1074	38	25	k	k	PROPN
ejpam-1074	38	26	�	�	PROPN
ejpam-1074	38	27	zk	zk	PROPN
ejpam-1074	38	28	!	!	PUNCT
ejpam-1074	39	1	∗	∗	NOUN
ejpam-1074	39	2	f	f	PROPN
ejpam-1074	39	3	(	(	PUNCT
ejpam-1074	39	4	z	z	NOUN
ejpam-1074	39	5	)	)	PUNCT
ejpam-1074	39	6	υ	υ	NOUN
ejpam-1074	39	7	>	>	X
ejpam-1074	39	8	0	0	NUM
ejpam-1074	39	9	;	;	PUNCT
ejpam-1074	39	10	z	z	PROPN
ejpam-1074	39	11	∈	∈	PROPN
ejpam-1074	39	12	u∗.	u∗.	PROPN
ejpam-1074	39	13	(	(	PUNCT
ejpam-1074	39	14	7	7	X
ejpam-1074	39	15	)	)	PUNCT
ejpam-1074	39	16	it	it	PRON
ejpam-1074	39	17	follows	follow	VERB
ejpam-1074	39	18	from	from	ADP
ejpam-1074	39	19	(	(	PUNCT
ejpam-1074	39	20	7	7	NUM
ejpam-1074	39	21	)	)	PUNCT
ejpam-1074	39	22	that	that	SCONJ
ejpam-1074	39	23	z(dm	z(dm	PROPN
ejpam-1074	39	24	λ	λ	PROPN
ejpam-1074	39	25	,	,	PUNCT
ejpam-1074	39	26	pfυ	pfυ	NOUN
ejpam-1074	39	27	,	,	PUNCT
ejpam-1074	39	28	p	p	X
ejpam-1074	39	29	(	(	PUNCT
ejpam-1074	39	30	f	f	PROPN
ejpam-1074	39	31	)	)	PUNCT
ejpam-1074	39	32	(	(	PUNCT
ejpam-1074	39	33	z	z	NOUN
ejpam-1074	39	34	)	)	PUNCT
ejpam-1074	39	35	)	)	PUNCT
ejpam-1074	39	36	′	′	NUM
ejpam-1074	39	37	=	=	SYM
ejpam-1074	39	38	υdm	υdm	PROPN
ejpam-1074	39	39	λ	λ	PROPN
ejpam-1074	39	40	,	,	PUNCT
ejpam-1074	39	41	p	p	PROPN
ejpam-1074	39	42	f	f	X
ejpam-1074	39	43	(	(	PUNCT
ejpam-1074	39	44	z)−	z)−	PROPN
ejpam-1074	39	45	(	(	PUNCT
ejpam-1074	39	46	υ+λp)dm	υ+λp)dm	PROPN
ejpam-1074	39	47	λ	λ	PROPN
ejpam-1074	39	48	,	,	PUNCT
ejpam-1074	39	49	pfυ	pfυ	NOUN
ejpam-1074	39	50	,	,	PUNCT
ejpam-1074	39	51	p	p	X
ejpam-1074	39	52	(	(	PUNCT
ejpam-1074	39	53	f	f	PROPN
ejpam-1074	39	54	)	)	PUNCT
ejpam-1074	39	55	(	(	PUNCT
ejpam-1074	39	56	z	z	NOUN
ejpam-1074	39	57	)	)	PUNCT
ejpam-1074	39	58	.	.	PUNCT
ejpam-1074	40	1	(	(	PUNCT
ejpam-1074	40	2	8)	8)	NUM
ejpam-1074	40	3	the	the	DET
ejpam-1074	40	4	operator	operator	NOUN
ejpam-1074	40	5	fυ	fυ	AUX
ejpam-1074	40	6	,	,	PUNCT
ejpam-1074	40	7	p	p	X
ejpam-1074	40	8	(	(	PUNCT
ejpam-1074	40	9	f	f	PROPN
ejpam-1074	40	10	)	)	PUNCT
ejpam-1074	40	11	(	(	PUNCT
ejpam-1074	40	12	z	z	NOUN
ejpam-1074	40	13	)	)	PUNCT
ejpam-1074	40	14	was	be	AUX
ejpam-1074	40	15	investigated	investigate	VERB
ejpam-1074	40	16	by	by	ADP
ejpam-1074	40	17	many	many	ADJ
ejpam-1074	40	18	authors	author	NOUN
ejpam-1074	40	19	(	(	PUNCT
ejpam-1074	40	20	see	see	VERB
ejpam-1074	40	21	for	for	ADP
ejpam-1074	40	22	example	example	NOUN
ejpam-1074	40	23	[	[	X
ejpam-1074	40	24	1	1	NUM
ejpam-1074	40	25	,	,	PUNCT
ejpam-1074	40	26	12	12	NUM
ejpam-1074	40	27	,	,	PUNCT
ejpam-1074	40	28	13	13	NUM
ejpam-1074	40	29	]	]	PUNCT
ejpam-1074	40	30	)	)	PUNCT
ejpam-1074	40	31	.	.	PUNCT
ejpam-1074	41	1	let	let	VERB
ejpam-1074	41	2	σ∗p	σ∗p	ADJ
ejpam-1074	41	3	,	,	PUNCT
ejpam-1074	41	4	n[λ	n[λ	X
ejpam-1074	41	5	,	,	PUNCT
ejpam-1074	41	6	m	m	PROPN
ejpam-1074	41	7	,	,	PUNCT
ejpam-1074	41	8	a	a	PRON
ejpam-1074	41	9	,	,	PUNCT
ejpam-1074	41	10	b	b	AUX
ejpam-1074	41	11	]	]	PUNCT
ejpam-1074	41	12	be	be	AUX
ejpam-1074	41	13	the	the	DET
ejpam-1074	41	14	class	class	NOUN
ejpam-1074	41	15	of	of	ADP
ejpam-1074	41	16	functions	function	NOUN
ejpam-1074	41	17	f	f	X
ejpam-1074	41	18	(	(	PUNCT
ejpam-1074	41	19	z	z	NOUN
ejpam-1074	41	20	)	)	PUNCT
ejpam-1074	41	21	∈	∈	PROPN
ejpam-1074	41	22	σp	σp	PROPN
ejpam-1074	41	23	,	,	PUNCT
ejpam-1074	41	24	n	n	CCONJ
ejpam-1074	41	25	defined	define	VERB
ejpam-1074	41	26	by	by	ADP
ejpam-1074	41	27	σ∗p	σ∗p	NOUN
ejpam-1074	41	28	,	,	PUNCT
ejpam-1074	41	29	n[λ	n[λ	X
ejpam-1074	41	30	,	,	PUNCT
ejpam-1074	41	31	m	m	PROPN
ejpam-1074	41	32	,	,	PUNCT
ejpam-1074	41	33	a	a	PRON
ejpam-1074	41	34	,	,	PUNCT
ejpam-1074	41	35	b	b	NOUN
ejpam-1074	41	36	]	]	X
ejpam-1074	41	37	=	=	SYM
ejpam-1074	41	38	(	(	PUNCT
ejpam-1074	41	39	f	f	X
ejpam-1074	41	40	(	(	PUNCT
ejpam-1074	41	41	z	z	NOUN
ejpam-1074	41	42	)	)	PUNCT
ejpam-1074	41	43	∈	∈	PROPN
ejpam-1074	41	44	σp	σp	PROPN
ejpam-1074	41	45	,	,	PUNCT
ejpam-1074	41	46	n	n	PROPN
ejpam-1074	41	47	:	:	PUNCT
ejpam-1074	41	48	−	−	PROPN
ejpam-1074	41	49	z(dm	z(dm	PROPN
ejpam-1074	41	50	λ	λ	PROPN
ejpam-1074	41	51	,	,	PUNCT
ejpam-1074	41	52	p	p	PROPN
ejpam-1074	41	53	f	f	X
ejpam-1074	41	54	(	(	PUNCT
ejpam-1074	41	55	z))′	z))′	PROPN
ejpam-1074	41	56	dm	dm	PROPN
ejpam-1074	41	57	λ	λ	PROPN
ejpam-1074	41	58	,	,	PUNCT
ejpam-1074	41	59	p	p	PROPN
ejpam-1074	41	60	f	f	X
ejpam-1074	41	61	(	(	PUNCT
ejpam-1074	41	62	z	z	NOUN
ejpam-1074	41	63	)	)	PUNCT
ejpam-1074	41	64	≺	≺	NOUN
ejpam-1074	41	65	p	p	X
ejpam-1074	41	66	1	1	NUM
ejpam-1074	41	67	+	+	NUM
ejpam-1074	41	68	az	az	PROPN
ejpam-1074	41	69	1	1	NUM
ejpam-1074	41	70	+	+	CCONJ
ejpam-1074	41	71	bz	bz	PROPN
ejpam-1074	41	72	,	,	PUNCT
ejpam-1074	41	73	(	(	PUNCT
ejpam-1074	41	74	9	9	X
ejpam-1074	41	75	)	)	PUNCT
ejpam-1074	41	76	−1≤	−1≤	NOUN
ejpam-1074	41	77	b	b	NOUN
ejpam-1074	41	78	<	<	X
ejpam-1074	41	79	a≤	a≤	PRON
ejpam-1074	41	80	1	1	NUM
ejpam-1074	41	81	;	;	PUNCT
ejpam-1074	41	82	λ	λ	X
ejpam-1074	41	83	>	>	X
ejpam-1074	41	84	0	0	NUM
ejpam-1074	41	85	;	;	PUNCT
ejpam-1074	41	86	p	p	PROPN
ejpam-1074	41	87	∈	∈	PROPN
ejpam-1074	41	88	n	n	CCONJ
ejpam-1074	41	89	;	;	PUNCT
ejpam-1074	41	90	n>−p	n>−p	X
ejpam-1074	41	91	;	;	PUNCT
ejpam-1074	41	92	m	m	PROPN
ejpam-1074	41	93	∈	∈	PROPN
ejpam-1074	41	94	n0	n0	NUM
ejpam-1074	41	95	;	;	PUNCT
ejpam-1074	41	96	z	z	PROPN
ejpam-1074	41	97	∈	∈	PROPN
ejpam-1074	41	98	u∗	u∗	INTJ
ejpam-1074	41	99	.	.	PUNCT
ejpam-1074	42	1	we	we	PRON
ejpam-1074	42	2	note	note	VERB
ejpam-1074	42	3	that	that	SCONJ
ejpam-1074	42	4	(	(	PUNCT
ejpam-1074	42	5	i	i	NOUN
ejpam-1074	42	6	)	)	PUNCT
ejpam-1074	42	7	for	for	ADP
ejpam-1074	42	8	m	m	PROPN
ejpam-1074	42	9	=	=	SYM
ejpam-1074	42	10	0	0	NUM
ejpam-1074	42	11	,	,	PUNCT
ejpam-1074	42	12	we	we	PRON
ejpam-1074	42	13	have	have	VERB
ejpam-1074	42	14	σ∗p	σ∗p	ADJ
ejpam-1074	42	15	,	,	PUNCT
ejpam-1074	42	16	n[λ	n[λ	ADV
ejpam-1074	42	17	,	,	PUNCT
ejpam-1074	42	18	0	0	NUM
ejpam-1074	42	19	;	;	PUNCT
ejpam-1074	42	20	1,−1	1,−1	NUM
ejpam-1074	42	21	]	]	X
ejpam-1074	42	22	=	=	PUNCT
ejpam-1074	42	23	σ∗p	σ∗p	PROPN
ejpam-1074	42	24	,	,	PUNCT
ejpam-1074	42	25	n	n	CCONJ
ejpam-1074	42	26	,	,	PUNCT
ejpam-1074	42	27	the	the	DET
ejpam-1074	42	28	well	well	ADV
ejpam-1074	42	29	-	-	PUNCT
ejpam-1074	42	30	known	know	VERB
ejpam-1074	42	31	class	class	NOUN
ejpam-1074	42	32	of	of	ADP
ejpam-1074	42	33	meromorphically	meromorphically	ADV
ejpam-1074	42	34	p−valent	p−valent	NOUN
ejpam-1074	42	35	starlike	starlike	NOUN
ejpam-1074	42	36	functions	function	NOUN
ejpam-1074	42	37	;	;	PUNCT
ejpam-1074	42	38	(	(	PUNCT
ejpam-1074	42	39	ii	ii	NOUN
ejpam-1074	42	40	)	)	PUNCT
ejpam-1074	42	41	for	for	ADP
ejpam-1074	42	42	m=	m=	X
ejpam-1074	42	43	0	0	NUM
ejpam-1074	42	44	,	,	PUNCT
ejpam-1074	42	45	a=	a=	PROPN
ejpam-1074	42	46	1−	1−	NUM
ejpam-1074	42	47	2α	2α	NOUN
ejpam-1074	42	48	p	p	NOUN
ejpam-1074	42	49	,	,	PUNCT
ejpam-1074	42	50	0≤	0≤	NUM
ejpam-1074	42	51	α	α	NOUN
ejpam-1074	42	52	<	<	X
ejpam-1074	42	53	p	p	NOUN
ejpam-1074	42	54	and	and	CCONJ
ejpam-1074	42	55	b	b	NOUN
ejpam-1074	42	56	=	=	NOUN
ejpam-1074	42	57	−1	−1	NOUN
ejpam-1074	42	58	,	,	PUNCT
ejpam-1074	42	59	we	we	PRON
ejpam-1074	42	60	have	have	VERB
ejpam-1074	42	61	σ∗p	σ∗p	ADJ
ejpam-1074	42	62	,	,	PUNCT
ejpam-1074	42	63	n[λ	n[λ	ADV
ejpam-1074	42	64	,	,	PUNCT
ejpam-1074	42	65	0	0	NUM
ejpam-1074	42	66	;	;	PUNCT
ejpam-1074	42	67	1,−1	1,−1	NUM
ejpam-1074	42	68	]	]	X
ejpam-1074	42	69	=	=	PUNCT
ejpam-1074	42	70	σ∗p	σ∗p	ADJ
ejpam-1074	42	71	,	,	PUNCT
ejpam-1074	42	72	n[α	n[α	NOUN
ejpam-1074	42	73	]	]	X
ejpam-1074	42	74	,	,	PUNCT
ejpam-1074	42	75	the	the	DET
ejpam-1074	42	76	well	well	ADV
ejpam-1074	42	77	-	-	PUNCT
ejpam-1074	42	78	known	know	VERB
ejpam-1074	42	79	class	class	NOUN
ejpam-1074	42	80	of	of	ADP
ejpam-1074	42	81	meromorphically	meromorphically	ADV
ejpam-1074	42	82	p−valent	p−valent	NOUN
ejpam-1074	42	83	starlike	starlike	NOUN
ejpam-1074	42	84	functions	function	NOUN
ejpam-1074	42	85	of	of	ADP
ejpam-1074	42	86	order	order	NOUN
ejpam-1074	42	87	α	α	PROPN
ejpam-1074	42	88	(	(	PUNCT
ejpam-1074	42	89	see	see	VERB
ejpam-1074	42	90	[	[	X
ejpam-1074	42	91	2	2	NUM
ejpam-1074	42	92	]	]	NUM
ejpam-1074	42	93	)	)	PUNCT
ejpam-1074	42	94	;	;	PUNCT
ejpam-1074	42	95	(	(	PUNCT
ejpam-1074	42	96	iii	iii	NOUN
ejpam-1074	42	97	)	)	PUNCT
ejpam-1074	42	98	for	for	ADP
ejpam-1074	42	99	λ=	λ=	ADJ
ejpam-1074	42	100	1	1	NUM
ejpam-1074	42	101	and	and	CCONJ
ejpam-1074	42	102	n=	n=	ADJ
ejpam-1074	42	103	0	0	NUM
ejpam-1074	42	104	,	,	PUNCT
ejpam-1074	42	105	the	the	DET
ejpam-1074	42	106	class	class	NOUN
ejpam-1074	42	107	σ∗p	σ∗p	PROPN
ejpam-1074	42	108	,	,	PUNCT
ejpam-1074	42	109	n[1	n[1	PROPN
ejpam-1074	42	110	,	,	PUNCT
ejpam-1074	42	111	m	m	PROPN
ejpam-1074	42	112	;	;	PUNCT
ejpam-1074	42	113	a	a	DET
ejpam-1074	42	114	,	,	PUNCT
ejpam-1074	42	115	b	b	NOUN
ejpam-1074	42	116	]	]	PUNCT
ejpam-1074	42	117	reduces	reduce	VERB
ejpam-1074	42	118	to	to	ADP
ejpam-1074	42	119	the	the	DET
ejpam-1074	42	120	class	class	NOUN
ejpam-1074	42	121	σ∗p	σ∗p	PROPN
ejpam-1074	42	122	,	,	PUNCT
ejpam-1074	42	123	n[m	n[m	PROPN
ejpam-1074	42	124	,	,	PUNCT
ejpam-1074	42	125	a	a	DET
ejpam-1074	42	126	,	,	PUNCT
ejpam-1074	42	127	b	b	NOUN
ejpam-1074	42	128	]	]	X
ejpam-1074	42	129	=	=	SYM
ejpam-1074	42	130	(	(	PUNCT
ejpam-1074	42	131	f	f	X
ejpam-1074	42	132	(	(	PUNCT
ejpam-1074	42	133	z	z	NOUN
ejpam-1074	42	134	)	)	PUNCT
ejpam-1074	42	135	∈	∈	PROPN
ejpam-1074	42	136	σp	σp	PROPN
ejpam-1074	42	137	,	,	PUNCT
ejpam-1074	42	138	n	n	PROPN
ejpam-1074	42	139	:	:	PUNCT
ejpam-1074	42	140	−	−	PROPN
ejpam-1074	42	141	z(dm	z(dm	PROPN
ejpam-1074	42	142	p	p	NOUN
ejpam-1074	42	143	f	f	X
ejpam-1074	42	144	(	(	PUNCT
ejpam-1074	42	145	z))′	z))′	PROPN
ejpam-1074	42	146	dm	dm	X
ejpam-1074	42	147	p	p	X
ejpam-1074	42	148	f	f	X
ejpam-1074	42	149	(	(	PUNCT
ejpam-1074	42	150	z	z	NOUN
ejpam-1074	42	151	)	)	PUNCT
ejpam-1074	42	152	≺	≺	NOUN
ejpam-1074	42	153	p	p	X
ejpam-1074	42	154	1	1	NUM
ejpam-1074	42	155	+	+	NUM
ejpam-1074	42	156	az	az	PROPN
ejpam-1074	42	157	1	1	NUM
ejpam-1074	42	158	+	+	CCONJ
ejpam-1074	42	159	bz	bz	PROPN
ejpam-1074	42	160	,	,	PUNCT
ejpam-1074	42	161	−1≤	−1≤	PROPN
ejpam-1074	42	162	b	b	ADP
ejpam-1074	42	163	<	<	X
ejpam-1074	42	164	a≤	a≤	PRON
ejpam-1074	42	165	1	1	NUM
ejpam-1074	42	166	;	;	PUNCT
ejpam-1074	42	167	p	p	PROPN
ejpam-1074	42	168	∈	∈	PROPN
ejpam-1074	42	169	n	n	CCONJ
ejpam-1074	42	170	;	;	PUNCT
ejpam-1074	42	171	n>−p	n>−p	X
ejpam-1074	42	172	;	;	PUNCT
ejpam-1074	42	173	m	m	PROPN
ejpam-1074	42	174	∈	∈	PROPN
ejpam-1074	42	175	n0	n0	NUM
ejpam-1074	42	176	;	;	PUNCT
ejpam-1074	42	177	z	z	PROPN
ejpam-1074	42	178	∈	∈	PROPN
ejpam-1074	42	179	u∗	u∗	NOUN
ejpam-1074	42	180	.	.	PUNCT
ejpam-1074	43	1	where	where	SCONJ
ejpam-1074	43	2	the	the	DET
ejpam-1074	43	3	operator	operator	NOUN
ejpam-1074	43	4	dm	dm	PROPN
ejpam-1074	43	5	p	p	PROPN
ejpam-1074	43	6	was	be	AUX
ejpam-1074	43	7	introduced	introduce	VERB
ejpam-1074	43	8	by	by	ADP
ejpam-1074	43	9	aouf	aouf	PROPN
ejpam-1074	43	10	and	and	CCONJ
ejpam-1074	43	11	hossen	hossen	NOUN
ejpam-1074	43	12	[	[	X
ejpam-1074	43	13	4	4	NUM
ejpam-1074	43	14	]	]	PUNCT
ejpam-1074	43	15	.	.	PUNCT
ejpam-1074	44	1	from	from	ADP
ejpam-1074	44	2	(	(	PUNCT
ejpam-1074	44	3	9	9	NUM
ejpam-1074	44	4	)	)	PUNCT
ejpam-1074	44	5	and	and	CCONJ
ejpam-1074	44	6	by	by	ADP
ejpam-1074	44	7	using	use	VERB
ejpam-1074	44	8	the	the	DET
ejpam-1074	44	9	result	result	NOUN
ejpam-1074	44	10	of	of	ADP
ejpam-1074	44	11	silverman	silverman	NOUN
ejpam-1074	44	12	and	and	CCONJ
ejpam-1074	44	13	silvia	silvia	PROPN
ejpam-1074	44	14	[	[	X
ejpam-1074	44	15	10	10	NUM
ejpam-1074	44	16	]	]	PUNCT
ejpam-1074	44	17	,	,	PUNCT
ejpam-1074	44	18	we	we	PRON
ejpam-1074	44	19	observe	observe	VERB
ejpam-1074	44	20	that	that	SCONJ
ejpam-1074	44	21	a	a	DET
ejpam-1074	44	22	function	function	NOUN
ejpam-1074	44	23	f	f	X
ejpam-1074	44	24	(	(	PUNCT
ejpam-1074	44	25	z	z	NOUN
ejpam-1074	44	26	)	)	PUNCT
ejpam-1074	44	27	is	be	AUX
ejpam-1074	44	28	in	in	ADP
ejpam-1074	44	29	the	the	DET
ejpam-1074	44	30	class	class	NOUN
ejpam-1074	44	31	σ∗p	σ∗p	PROPN
ejpam-1074	44	32	,	,	PUNCT
ejpam-1074	44	33	n[λ	n[λ	X
ejpam-1074	44	34	,	,	PUNCT
ejpam-1074	44	35	m	m	PROPN
ejpam-1074	44	36	,	,	PUNCT
ejpam-1074	44	37	a	a	PRON
ejpam-1074	44	38	,	,	PUNCT
ejpam-1074	44	39	b	b	NOUN
ejpam-1074	44	40	]	]	X
ejpam-1074	44	41	(	(	PUNCT
ejpam-1074	44	42	−1	−1	NOUN
ejpam-1074	44	43	<	<	X
ejpam-1074	44	44	b	b	X
ejpam-1074	44	45	<	<	X
ejpam-1074	44	46	a≤	a≤	ADP
ejpam-1074	44	47	1;λ	1;λ	PROPN
ejpam-1074	44	48	>	>	X
ejpam-1074	44	49	0	0	NUM
ejpam-1074	44	50	;	;	PUNCT
ejpam-1074	44	51	p	p	PROPN
ejpam-1074	44	52	∈	∈	PROPN
ejpam-1074	44	53	n	n	CCONJ
ejpam-1074	44	54	;	;	PUNCT
ejpam-1074	44	55	m	m	PROPN
ejpam-1074	44	56	∈	∈	PROPN
ejpam-1074	44	57	n0	n0	NUM
ejpam-1074	44	58	)	)	PUNCT
ejpam-1074	45	1	if	if	SCONJ
ejpam-1074	45	2	and	and	CCONJ
ejpam-1074	45	3	only	only	ADV
ejpam-1074	45	4	if	if	SCONJ
ejpam-1074	45	5	�	�	PROPN
ejpam-1074	45	6	�	�	PROPN
ejpam-1074	45	7	�	�	PROPN
ejpam-1074	45	8	�	�	PROPN
ejpam-1074	45	9	�	�	PROPN
ejpam-1074	45	10	z(dm	z(dm	PROPN
ejpam-1074	45	11	λ	λ	PROPN
ejpam-1074	45	12	,	,	PUNCT
ejpam-1074	45	13	p	p	PROPN
ejpam-1074	45	14	f	f	X
ejpam-1074	45	15	(	(	PUNCT
ejpam-1074	45	16	z))′	z))′	PROPN
ejpam-1074	45	17	dm	dm	PROPN
ejpam-1074	45	18	λ	λ	PROPN
ejpam-1074	45	19	,	,	PUNCT
ejpam-1074	45	20	p	p	PROPN
ejpam-1074	45	21	f	f	X
ejpam-1074	45	22	(	(	PUNCT
ejpam-1074	45	23	z	z	NOUN
ejpam-1074	45	24	)	)	PUNCT
ejpam-1074	45	25	+	+	CCONJ
ejpam-1074	45	26	p(1−	p(1−	PROPN
ejpam-1074	45	27	ab	ab	PROPN
ejpam-1074	45	28	)	)	PUNCT
ejpam-1074	45	29	1−	1−	NUM
ejpam-1074	45	30	b2	b2	PROPN
ejpam-1074	45	31	�	�	PROPN
ejpam-1074	45	32	�	�	PROPN
ejpam-1074	45	33	�	�	PROPN
ejpam-1074	45	34	�	�	PROPN
ejpam-1074	45	35	�	�	PROPN
ejpam-1074	45	36	<	<	X
ejpam-1074	45	37	p(a−	p(a−	PROPN
ejpam-1074	45	38	b	b	PROPN
ejpam-1074	45	39	)	)	PUNCT
ejpam-1074	45	40	1−	1−	NUM
ejpam-1074	45	41	b2	b2	NOUN
ejpam-1074	45	42	z	z	PROPN
ejpam-1074	45	43	∈	∈	PROPN
ejpam-1074	45	44	u∗	u∗	NOUN
ejpam-1074	45	45	(	(	PUNCT
ejpam-1074	45	46	10	10	NUM
ejpam-1074	45	47	)	)	PUNCT
ejpam-1074	45	48	the	the	DET
ejpam-1074	45	49	object	object	NOUN
ejpam-1074	45	50	of	of	ADP
ejpam-1074	45	51	the	the	DET
ejpam-1074	45	52	present	present	ADJ
ejpam-1074	45	53	paper	paper	NOUN
ejpam-1074	45	54	is	be	AUX
ejpam-1074	45	55	to	to	PART
ejpam-1074	45	56	give	give	VERB
ejpam-1074	45	57	some	some	DET
ejpam-1074	45	58	argument	argument	NOUN
ejpam-1074	45	59	properties	property	NOUN
ejpam-1074	45	60	of	of	ADP
ejpam-1074	45	61	meromorphically	meromorphically	ADV
ejpam-1074	45	62	functions	function	NOUN
ejpam-1074	45	63	belonging	belong	VERB
ejpam-1074	45	64	to	to	ADP
ejpam-1074	45	65	σp	σp	PROPN
ejpam-1074	45	66	,	,	PUNCT
ejpam-1074	45	67	n	n	PROPN
ejpam-1074	45	68	and	and	CCONJ
ejpam-1074	45	69	the	the	DET
ejpam-1074	45	70	integral	integral	ADJ
ejpam-1074	45	71	preserving	preserve	VERB
ejpam-1074	45	72	properties	property	NOUN
ejpam-1074	45	73	in	in	ADP
ejpam-1074	45	74	connection	connection	NOUN
ejpam-1074	45	75	with	with	ADP
ejpam-1074	45	76	the	the	DET
ejpam-1074	45	77	operator	operator	NOUN
ejpam-1074	45	78	dm	dm	PROPN
ejpam-1074	45	79	λ	λ	PROPN
ejpam-1074	45	80	,	,	PUNCT
ejpam-1074	45	81	p	p	NOUN
ejpam-1074	45	82	defined	define	VERB
ejpam-1074	45	83	by	by	ADP
ejpam-1074	45	84	(	(	PUNCT
ejpam-1074	45	85	4	4	NUM
ejpam-1074	45	86	)	)	PUNCT
ejpam-1074	45	87	.	.	PUNCT
ejpam-1074	46	1	a.	a.	PROPN
ejpam-1074	46	2	mostafa	mostafa	PROPN
ejpam-1074	46	3	and	and	CCONJ
ejpam-1074	46	4	m.	m.	PROPN
ejpam-1074	46	5	aouf	aouf	PROPN
ejpam-1074	46	6	/	/	SYM
ejpam-1074	46	7	eur	eur	PROPN
ejpam-1074	46	8	.	.	PUNCT
ejpam-1074	47	1	j.	j.	PROPN
ejpam-1074	47	2	pure	pure	PROPN
ejpam-1074	47	3	appl	appl	PROPN
ejpam-1074	47	4	.	.	PROPN
ejpam-1074	47	5	math	math	PROPN
ejpam-1074	47	6	,	,	PUNCT
ejpam-1074	47	7	6	6	NUM
ejpam-1074	47	8	(	(	PUNCT
ejpam-1074	47	9	2013	2013	NUM
ejpam-1074	47	10	)	)	PUNCT
ejpam-1074	47	11	,	,	PUNCT
ejpam-1074	47	12	387	387	NUM
ejpam-1074	47	13	-	-	SYM
ejpam-1074	47	14	399	399	NUM
ejpam-1074	47	15	390	390	NUM
ejpam-1074	47	16	2	2	NUM
ejpam-1074	47	17	.	.	PUNCT
ejpam-1074	47	18	main	main	ADJ
ejpam-1074	47	19	results	result	NOUN
ejpam-1074	47	20	unless	unless	SCONJ
ejpam-1074	47	21	otherwise	otherwise	ADV
ejpam-1074	47	22	mentioned	mention	VERB
ejpam-1074	47	23	,	,	PUNCT
ejpam-1074	47	24	we	we	PRON
ejpam-1074	47	25	shall	shall	AUX
ejpam-1074	47	26	assume	assume	VERB
ejpam-1074	47	27	in	in	ADP
ejpam-1074	47	28	the	the	DET
ejpam-1074	47	29	reminder	reminder	NOUN
ejpam-1074	47	30	of	of	ADP
ejpam-1074	47	31	this	this	DET
ejpam-1074	47	32	paper	paper	NOUN
ejpam-1074	47	33	that	that	PRON
ejpam-1074	47	34	λ	λ	X
ejpam-1074	47	35	>	>	X
ejpam-1074	47	36	0	0	PROPN
ejpam-1074	47	37	,	,	PUNCT
ejpam-1074	47	38	n>−p	n>−p	PROPN
ejpam-1074	47	39	,	,	PUNCT
ejpam-1074	47	40	p	p	PROPN
ejpam-1074	47	41	∈	∈	PROPN
ejpam-1074	47	42	n	n	NOUN
ejpam-1074	47	43	and	and	CCONJ
ejpam-1074	47	44	m	m	PROPN
ejpam-1074	47	45	∈	∈	PROPN
ejpam-1074	47	46	n0	n0	PROPN
ejpam-1074	47	47	.	.	PUNCT
ejpam-1074	48	1	in	in	ADP
ejpam-1074	48	2	order	order	NOUN
ejpam-1074	48	3	to	to	PART
ejpam-1074	48	4	prove	prove	VERB
ejpam-1074	48	5	our	our	PRON
ejpam-1074	48	6	main	main	ADJ
ejpam-1074	48	7	results	result	NOUN
ejpam-1074	48	8	,	,	PUNCT
ejpam-1074	48	9	we	we	PRON
ejpam-1074	48	10	need	need	VERB
ejpam-1074	48	11	the	the	DET
ejpam-1074	48	12	following	follow	VERB
ejpam-1074	48	13	lemmas	lemmas	NOUN
ejpam-1074	48	14	.	.	PUNCT
ejpam-1074	49	1	lemma	lemma	PROPN
ejpam-1074	49	2	1	1	NUM
ejpam-1074	49	3	.	.	PUNCT
ejpam-1074	50	1	[	[	X
ejpam-1074	50	2	5	5	NUM
ejpam-1074	50	3	]	]	PUNCT
ejpam-1074	50	4	let	let	VERB
ejpam-1074	50	5	h(z	h(z	NOUN
ejpam-1074	50	6	)	)	PUNCT
ejpam-1074	50	7	be	be	VERB
ejpam-1074	50	8	convex	convex	ADJ
ejpam-1074	50	9	(	(	PUNCT
ejpam-1074	50	10	univalent	univalent	ADJ
ejpam-1074	50	11	)	)	PUNCT
ejpam-1074	50	12	in	in	ADP
ejpam-1074	50	13	u	u	NOUN
ejpam-1074	50	14	with	with	ADP
ejpam-1074	50	15	h(0	h(0	PROPN
ejpam-1074	50	16	)	)	PUNCT
ejpam-1074	50	17	=	=	SYM
ejpam-1074	50	18	1	1	NUM
ejpam-1074	50	19	and	and	CCONJ
ejpam-1074	50	20	ℜ{βh(z	ℜ{βh(z	PRON
ejpam-1074	50	21	)	)	PUNCT
ejpam-1074	51	1	+	+	CCONJ
ejpam-1074	51	2	γ	γ	X
ejpam-1074	51	3	}	}	PUNCT
ejpam-1074	51	4	>	>	X
ejpam-1074	51	5	0	0	PUNCT
ejpam-1074	52	1	(	(	PUNCT
ejpam-1074	52	2	β	β	X
ejpam-1074	52	3	,	,	PUNCT
ejpam-1074	52	4	γ	γ	PROPN
ejpam-1074	52	5	∈	∈	PROPN
ejpam-1074	52	6	c	c	X
ejpam-1074	52	7	)	)	PUNCT
ejpam-1074	52	8	.	.	PUNCT
ejpam-1074	53	1	if	if	SCONJ
ejpam-1074	53	2	q(z	q(z	PROPN
ejpam-1074	53	3	)	)	PUNCT
ejpam-1074	53	4	is	be	AUX
ejpam-1074	53	5	analytic	analytic	ADJ
ejpam-1074	53	6	in	in	ADP
ejpam-1074	53	7	u	u	NOUN
ejpam-1074	53	8	with	with	ADP
ejpam-1074	53	9	q(0	q(0	PROPN
ejpam-1074	53	10	)	)	PUNCT
ejpam-1074	53	11	=	=	SYM
ejpam-1074	53	12	1	1	NUM
ejpam-1074	53	13	,	,	PUNCT
ejpam-1074	53	14	then	then	ADV
ejpam-1074	53	15	q(z	q(z	PROPN
ejpam-1074	53	16	)	)	PUNCT
ejpam-1074	54	1	+	+	NUM
ejpam-1074	54	2	zq′(z	zq′(z	NOUN
ejpam-1074	54	3	)	)	PUNCT
ejpam-1074	54	4	βq(z	βq(z	PUNCT
ejpam-1074	54	5	)	)	PUNCT
ejpam-1074	55	1	+	+	CCONJ
ejpam-1074	55	2	γ	γ	PROPN
ejpam-1074	55	3	≺	≺	NOUN
ejpam-1074	55	4	h(z	h(z	NOUN
ejpam-1074	55	5	)	)	PUNCT
ejpam-1074	55	6	,	,	PUNCT
ejpam-1074	55	7	implies	imply	VERB
ejpam-1074	55	8	q(z)≺	q(z)≺	ADP
ejpam-1074	55	9	h(z	h(z	NOUN
ejpam-1074	55	10	)	)	PUNCT
ejpam-1074	55	11	.	.	PUNCT
ejpam-1074	56	1	lemma	lemma	PROPN
ejpam-1074	56	2	2	2	NUM
ejpam-1074	56	3	.	.	PUNCT
ejpam-1074	57	1	[	[	X
ejpam-1074	57	2	8	8	NUM
ejpam-1074	57	3	]	]	PUNCT
ejpam-1074	57	4	let	let	VERB
ejpam-1074	57	5	h(z	h(z	NOUN
ejpam-1074	57	6	)	)	PUNCT
ejpam-1074	57	7	be	be	VERB
ejpam-1074	57	8	convex	convex	ADJ
ejpam-1074	57	9	(	(	PUNCT
ejpam-1074	57	10	univalent	univalent	ADJ
ejpam-1074	57	11	)	)	PUNCT
ejpam-1074	57	12	in	in	ADP
ejpam-1074	57	13	u	u	NOUN
ejpam-1074	57	14	and	and	CCONJ
ejpam-1074	57	15	ψ(z	ψ(z	PROPN
ejpam-1074	57	16	)	)	PUNCT
ejpam-1074	57	17	be	be	AUX
ejpam-1074	57	18	analytic	analytic	ADJ
ejpam-1074	57	19	in	in	ADP
ejpam-1074	57	20	in	in	ADP
ejpam-1074	57	21	u	u	NOUN
ejpam-1074	57	22	with	with	ADP
ejpam-1074	57	23	ℜ{ψ(z	ℜ{ψ(z	NOUN
ejpam-1074	57	24	)	)	PUNCT
ejpam-1074	57	25	}	}	PUNCT
ejpam-1074	57	26	≥	≥	NOUN
ejpam-1074	57	27	0	0	NUM
ejpam-1074	57	28	.	.	PUNCT
ejpam-1074	58	1	if	if	SCONJ
ejpam-1074	58	2	q(z	q(z	PROPN
ejpam-1074	58	3	)	)	PUNCT
ejpam-1074	58	4	is	be	AUX
ejpam-1074	58	5	analytic	analytic	ADJ
ejpam-1074	58	6	in	in	ADP
ejpam-1074	58	7	u	u	NOUN
ejpam-1074	58	8	and	and	CCONJ
ejpam-1074	58	9	q(0	q(0	PROPN
ejpam-1074	58	10	)	)	PUNCT
ejpam-1074	59	1	=	=	SYM
ejpam-1074	59	2	h(0	h(0	PROPN
ejpam-1074	59	3	)	)	PUNCT
ejpam-1074	59	4	,	,	PUNCT
ejpam-1074	59	5	then	then	ADV
ejpam-1074	59	6	q(z	q(z	PROPN
ejpam-1074	59	7	)	)	PUNCT
ejpam-1074	59	8	+	+	NOUN
ejpam-1074	59	9	ψ(z)zq′(z)≺	ψ(z)zq′(z)≺	PUNCT
ejpam-1074	59	10	h(z	h(z	NOUN
ejpam-1074	59	11	)	)	PUNCT
ejpam-1074	59	12	,	,	PUNCT
ejpam-1074	59	13	implies	imply	VERB
ejpam-1074	59	14	q(z)≺	q(z)≺	ADP
ejpam-1074	59	15	h(z	h(z	NOUN
ejpam-1074	59	16	)	)	PUNCT
ejpam-1074	59	17	.	.	PUNCT
ejpam-1074	60	1	lemma	lemma	PROPN
ejpam-1074	60	2	3	3	X
ejpam-1074	60	3	.	.	PUNCT
ejpam-1074	61	1	[	[	X
ejpam-1074	61	2	9	9	NUM
ejpam-1074	61	3	]	]	PUNCT
ejpam-1074	61	4	let	let	VERB
ejpam-1074	61	5	q(z	q(z	PROPN
ejpam-1074	61	6	)	)	PUNCT
ejpam-1074	61	7	be	be	AUX
ejpam-1074	61	8	analytic	analytic	ADJ
ejpam-1074	61	9	in	in	ADP
ejpam-1074	61	10	u	u	NOUN
ejpam-1074	61	11	,	,	PUNCT
ejpam-1074	61	12	with	with	ADP
ejpam-1074	61	13	q(0	q(0	PROPN
ejpam-1074	61	14	)	)	PUNCT
ejpam-1074	61	15	=	=	SYM
ejpam-1074	61	16	1	1	NUM
ejpam-1074	61	17	and	and	CCONJ
ejpam-1074	61	18	q(z	q(z	PROPN
ejpam-1074	61	19	)	)	PUNCT
ejpam-1074	61	20	6=	6=	ADP
ejpam-1074	61	21	0	0	NUM
ejpam-1074	61	22	,	,	PUNCT
ejpam-1074	61	23	(	(	PUNCT
ejpam-1074	61	24	z	z	NOUN
ejpam-1074	61	25	∈	∈	PROPN
ejpam-1074	61	26	u	u	NOUN
ejpam-1074	61	27	)	)	PUNCT
ejpam-1074	61	28	.	.	PUNCT
ejpam-1074	62	1	suppose	suppose	VERB
ejpam-1074	62	2	that	that	SCONJ
ejpam-1074	62	3	there	there	PRON
ejpam-1074	62	4	exists	exist	VERB
ejpam-1074	62	5	a	a	DET
ejpam-1074	62	6	point	point	NOUN
ejpam-1074	62	7	z0	z0	PROPN
ejpam-1074	62	8	∈	∈	PROPN
ejpam-1074	62	9	u	u	NOUN
ejpam-1074	62	10	,	,	PUNCT
ejpam-1074	62	11	such	such	ADJ
ejpam-1074	62	12	that	that	SCONJ
ejpam-1074	62	13	|ar	|ar	DET
ejpam-1074	62	14	gq(z)|	gq(z)|	X
ejpam-1074	62	15	<	<	X
ejpam-1074	62	16	π	π	PROPN
ejpam-1074	62	17	2	2	NUM
ejpam-1074	62	18	α	α	NOUN
ejpam-1074	62	19	for	for	ADP
ejpam-1074	62	20	|z|	|z|	NOUN
ejpam-1074	62	21	<	<	X
ejpam-1074	62	22	|z0|	|z0|	NOUN
ejpam-1074	62	23	(	(	PUNCT
ejpam-1074	62	24	11	11	NUM
ejpam-1074	62	25	)	)	PUNCT
ejpam-1074	62	26	and	and	CCONJ
ejpam-1074	62	27	|ar	|ar	X
ejpam-1074	62	28	gq(z0)|	gq(z0)|	PROPN
ejpam-1074	62	29	<	<	X
ejpam-1074	62	30	π	π	PROPN
ejpam-1074	62	31	2	2	NUM
ejpam-1074	62	32	α	α	NOUN
ejpam-1074	62	33	0	0	NUM
ejpam-1074	62	34	<	<	X
ejpam-1074	62	35	α≤	α≤	PROPN
ejpam-1074	62	36	1	1	NUM
ejpam-1074	62	37	.	.	PUNCT
ejpam-1074	63	1	(	(	PUNCT
ejpam-1074	63	2	12	12	NUM
ejpam-1074	63	3	)	)	PUNCT
ejpam-1074	63	4	then	then	ADV
ejpam-1074	63	5	,	,	PUNCT
ejpam-1074	63	6	we	we	PRON
ejpam-1074	63	7	have	have	VERB
ejpam-1074	63	8	z0q′(z0	z0q′(z0	NUM
ejpam-1074	63	9	)	)	PUNCT
ejpam-1074	63	10	q(z0	q(z0	NOUN
ejpam-1074	63	11	)	)	PUNCT
ejpam-1074	63	12	=	=	SYM
ejpam-1074	63	13	ikα	ikα	ADJ
ejpam-1074	63	14	,	,	PUNCT
ejpam-1074	63	15	(	(	PUNCT
ejpam-1074	63	16	13	13	NUM
ejpam-1074	63	17	)	)	PUNCT
ejpam-1074	63	18	where	where	SCONJ
ejpam-1074	63	19	k	k	PROPN
ejpam-1074	63	20	≥	≥	VERB
ejpam-1074	63	21	1	1	NUM
ejpam-1074	63	22	2	2	NUM
ejpam-1074	63	23	(	(	PUNCT
ejpam-1074	63	24	α+	α+	NOUN
ejpam-1074	63	25	1	1	NUM
ejpam-1074	63	26	α	α	NOUN
ejpam-1074	63	27	)	)	PUNCT
ejpam-1074	63	28	when	when	SCONJ
ejpam-1074	63	29	ar	ar	NOUN
ejpam-1074	63	30	gq(z0	gq(z0	NOUN
ejpam-1074	63	31	)	)	PUNCT
ejpam-1074	63	32	=	=	PUNCT
ejpam-1074	64	1	π	π	NOUN
ejpam-1074	64	2	2	2	NUM
ejpam-1074	64	3	α	α	NOUN
ejpam-1074	64	4	,	,	PUNCT
ejpam-1074	64	5	(	(	PUNCT
ejpam-1074	64	6	14	14	NUM
ejpam-1074	64	7	)	)	PUNCT
ejpam-1074	64	8	k	k	NOUN
ejpam-1074	64	9	≥−	≥−	PROPN
ejpam-1074	64	10	1	1	NUM
ejpam-1074	64	11	2	2	NUM
ejpam-1074	64	12	(	(	PUNCT
ejpam-1074	64	13	α+	α+	NOUN
ejpam-1074	64	14	1	1	NUM
ejpam-1074	64	15	α	α	NOUN
ejpam-1074	64	16	)	)	PUNCT
ejpam-1074	64	17	when	when	SCONJ
ejpam-1074	64	18	ar	ar	NOUN
ejpam-1074	64	19	gq(z0	gq(z0	NOUN
ejpam-1074	64	20	)	)	PUNCT
ejpam-1074	65	1	=	=	NOUN
ejpam-1074	65	2	−	−	PROPN
ejpam-1074	65	3	π	π	PROPN
ejpam-1074	65	4	2	2	NUM
ejpam-1074	65	5	α	α	NOUN
ejpam-1074	65	6	,	,	PUNCT
ejpam-1074	65	7	(	(	PUNCT
ejpam-1074	65	8	15	15	NUM
ejpam-1074	65	9	)	)	PUNCT
ejpam-1074	65	10	and	and	CCONJ
ejpam-1074	65	11	q(z0	q(z0	NOUN
ejpam-1074	65	12	)	)	PUNCT
ejpam-1074	65	13	1	1	NUM
ejpam-1074	65	14	α	α	NOUN
ejpam-1074	65	15	=	=	NOUN
ejpam-1074	65	16	±iα	±iα	PROPN
ejpam-1074	65	17	,	,	PUNCT
ejpam-1074	65	18	α	α	X
ejpam-1074	65	19	>	>	X
ejpam-1074	65	20	0	0	NUM
ejpam-1074	65	21	.	.	PUNCT
ejpam-1074	66	1	(	(	PUNCT
ejpam-1074	66	2	16	16	NUM
ejpam-1074	66	3	)	)	PUNCT
ejpam-1074	66	4	at	at	ADP
ejpam-1074	66	5	first	first	ADV
ejpam-1074	66	6	,	,	PUNCT
ejpam-1074	66	7	with	with	ADP
ejpam-1074	66	8	the	the	DET
ejpam-1074	66	9	help	help	NOUN
ejpam-1074	66	10	of	of	ADP
ejpam-1074	66	11	lemma	lemma	PROPN
ejpam-1074	66	12	1	1	NUM
ejpam-1074	66	13	,	,	PUNCT
ejpam-1074	66	14	we	we	PRON
ejpam-1074	66	15	obtain	obtain	VERB
ejpam-1074	66	16	the	the	DET
ejpam-1074	66	17	following	follow	VERB
ejpam-1074	66	18	result	result	NOUN
ejpam-1074	66	19	:	:	PUNCT
ejpam-1074	66	20	a.	a.	PROPN
ejpam-1074	66	21	mostafa	mostafa	PROPN
ejpam-1074	66	22	and	and	CCONJ
ejpam-1074	66	23	m.	m.	PROPN
ejpam-1074	66	24	aouf	aouf	PROPN
ejpam-1074	66	25	/	/	SYM
ejpam-1074	66	26	eur	eur	PROPN
ejpam-1074	66	27	.	.	PUNCT
ejpam-1074	67	1	j.	j.	PROPN
ejpam-1074	67	2	pure	pure	PROPN
ejpam-1074	67	3	appl	appl	PROPN
ejpam-1074	67	4	.	.	PROPN
ejpam-1074	67	5	math	math	PROPN
ejpam-1074	67	6	,	,	PUNCT
ejpam-1074	67	7	6	6	NUM
ejpam-1074	67	8	(	(	PUNCT
ejpam-1074	67	9	2013	2013	NUM
ejpam-1074	67	10	)	)	PUNCT
ejpam-1074	67	11	,	,	PUNCT
ejpam-1074	67	12	387	387	NUM
ejpam-1074	67	13	-	-	SYM
ejpam-1074	67	14	399	399	NUM
ejpam-1074	67	15	391	391	NUM
ejpam-1074	67	16	theorem	theorem	NOUN
ejpam-1074	67	17	1	1	NUM
ejpam-1074	67	18	.	.	PUNCT
ejpam-1074	68	1	let	let	VERB
ejpam-1074	68	2	h	h	NOUN
ejpam-1074	68	3	be	be	AUX
ejpam-1074	68	4	convex	convex	ADJ
ejpam-1074	68	5	univalent	univalent	ADJ
ejpam-1074	68	6	in	in	ADP
ejpam-1074	68	7	u	u	NOUN
ejpam-1074	68	8	with	with	ADP
ejpam-1074	68	9	h(0	h(0	PROPN
ejpam-1074	68	10	)	)	PUNCT
ejpam-1074	68	11	=	=	SYM
ejpam-1074	68	12	1	1	NUM
ejpam-1074	68	13	and	and	CCONJ
ejpam-1074	68	14	ℜ{h	ℜ{h	NOUN
ejpam-1074	68	15	}	}	PUNCT
ejpam-1074	68	16	be	be	AUX
ejpam-1074	68	17	bounded	bound	VERB
ejpam-1074	68	18	in	in	ADP
ejpam-1074	68	19	u.	u.	PROPN
ejpam-1074	68	20	if	if	SCONJ
ejpam-1074	68	21	f	f	PROPN
ejpam-1074	68	22	(	(	PUNCT
ejpam-1074	68	23	z	z	NOUN
ejpam-1074	68	24	)	)	PUNCT
ejpam-1074	68	25	∈	∈	PROPN
ejpam-1074	68	26	σp	σp	PROPN
ejpam-1074	68	27	,	,	PUNCT
ejpam-1074	68	28	n	n	PRON
ejpam-1074	68	29	satisfies	satisfy	VERB
ejpam-1074	68	30	the	the	DET
ejpam-1074	68	31	condition	condition	NOUN
ejpam-1074	68	32	:	:	PUNCT
ejpam-1074	68	33	−	−	PROPN
ejpam-1074	68	34	z(dm+1	z(dm+1	PROPN
ejpam-1074	68	35	λ	λ	PROPN
ejpam-1074	68	36	,	,	PUNCT
ejpam-1074	68	37	p	p	PROPN
ejpam-1074	68	38	f	f	X
ejpam-1074	68	39	(	(	PUNCT
ejpam-1074	68	40	z))′	z))′	X
ejpam-1074	68	41	pdm+1	pdm+1	PROPN
ejpam-1074	68	42	λ	λ	PROPN
ejpam-1074	68	43	,	,	PUNCT
ejpam-1074	68	44	p	p	PROPN
ejpam-1074	68	45	f	f	X
ejpam-1074	68	46	(	(	PUNCT
ejpam-1074	68	47	z	z	NOUN
ejpam-1074	68	48	)	)	PUNCT
ejpam-1074	68	49	≺	≺	NOUN
ejpam-1074	68	50	h(z	h(z	NOUN
ejpam-1074	68	51	)	)	PUNCT
ejpam-1074	68	52	then	then	ADV
ejpam-1074	68	53	−	−	PROPN
ejpam-1074	68	54	z(dm	z(dm	PROPN
ejpam-1074	68	55	λ	λ	PROPN
ejpam-1074	68	56	,	,	PUNCT
ejpam-1074	68	57	p	p	PROPN
ejpam-1074	68	58	f	f	X
ejpam-1074	68	59	(	(	PUNCT
ejpam-1074	68	60	z))′	z))′	PROPN
ejpam-1074	68	61	pdm	pdm	PROPN
ejpam-1074	68	62	λ	λ	PROPN
ejpam-1074	68	63	,	,	PUNCT
ejpam-1074	68	64	p	p	PROPN
ejpam-1074	68	65	f	f	X
ejpam-1074	68	66	(	(	PUNCT
ejpam-1074	68	67	z	z	NOUN
ejpam-1074	68	68	)	)	PUNCT
ejpam-1074	68	69	≺	≺	NOUN
ejpam-1074	68	70	h(z	h(z	NOUN
ejpam-1074	68	71	)	)	PUNCT
ejpam-1074	68	72	for	for	ADP
ejpam-1074	68	73	max	max	PROPN
ejpam-1074	68	74	z∈u	z∈u	PROPN
ejpam-1074	68	75	ℜh(z	ℜh(z	PROPN
ejpam-1074	68	76	)	)	PUNCT
ejpam-1074	68	77	<	<	X
ejpam-1074	68	78	�	�	PROPN
ejpam-1074	68	79	1+λp	1+λp	NUM
ejpam-1074	68	80	λp	λp	DET
ejpam-1074	68	81	�	�	PROPN
ejpam-1074	68	82	(	(	PUNCT
ejpam-1074	68	83	provided	provide	VERB
ejpam-1074	68	84	dm	dm	PROPN
ejpam-1074	68	85	λ	λ	PROPN
ejpam-1074	68	86	,	,	PUNCT
ejpam-1074	68	87	p	p	PROPN
ejpam-1074	68	88	f	f	X
ejpam-1074	68	89	(	(	PUNCT
ejpam-1074	68	90	z	z	NOUN
ejpam-1074	68	91	)	)	PUNCT
ejpam-1074	68	92	6=	6=	ADP
ejpam-1074	68	93	0	0	NUM
ejpam-1074	68	94	,	,	PUNCT
ejpam-1074	68	95	z	z	PROPN
ejpam-1074	68	96	∈	∈	NOUN
ejpam-1074	68	97	u∗	u∗	PROPN
ejpam-1074	68	98	)	)	PUNCT
ejpam-1074	68	99	.	.	PUNCT
ejpam-1074	69	1	proof	proof	NOUN
ejpam-1074	69	2	.	.	PUNCT
ejpam-1074	70	1	let	let	VERB
ejpam-1074	70	2	q(z	q(z	NUM
ejpam-1074	70	3	)	)	PUNCT
ejpam-1074	70	4	=	=	NOUN
ejpam-1074	70	5	−	−	PROPN
ejpam-1074	70	6	z(dm	z(dm	PROPN
ejpam-1074	70	7	λ	λ	PROPN
ejpam-1074	70	8	,	,	PUNCT
ejpam-1074	70	9	p	p	PROPN
ejpam-1074	70	10	f	f	X
ejpam-1074	70	11	(	(	PUNCT
ejpam-1074	70	12	z))′	z))′	PROPN
ejpam-1074	70	13	pdm	pdm	PROPN
ejpam-1074	70	14	λ	λ	PROPN
ejpam-1074	70	15	,	,	PUNCT
ejpam-1074	70	16	p	p	PROPN
ejpam-1074	70	17	f	f	X
ejpam-1074	70	18	(	(	PUNCT
ejpam-1074	70	19	z	z	NOUN
ejpam-1074	70	20	)	)	PUNCT
ejpam-1074	70	21	.	.	PUNCT
ejpam-1074	71	1	by	by	ADP
ejpam-1074	71	2	using	use	VERB
ejpam-1074	71	3	(	(	PUNCT
ejpam-1074	71	4	6	6	NUM
ejpam-1074	71	5	)	)	PUNCT
ejpam-1074	71	6	,	,	PUNCT
ejpam-1074	71	7	we	we	PRON
ejpam-1074	71	8	have	have	VERB
ejpam-1074	71	9	q(z)−	q(z)−	PROPN
ejpam-1074	71	10	�	�	PROPN
ejpam-1074	71	11	1+λp	1+λp	NUM
ejpam-1074	71	12	λp	λp	PRON
ejpam-1074	71	13	�	�	PROPN
ejpam-1074	71	14	=	=	SYM
ejpam-1074	71	15	−	−	PROPN
ejpam-1074	71	16	dm+1	dm+1	PROPN
ejpam-1074	71	17	λ	λ	PROPN
ejpam-1074	71	18	,	,	PUNCT
ejpam-1074	71	19	p	p	PROPN
ejpam-1074	71	20	f	f	X
ejpam-1074	71	21	(	(	PUNCT
ejpam-1074	71	22	z	z	NOUN
ejpam-1074	71	23	)	)	PUNCT
ejpam-1074	71	24	λpdm	λpdm	PROPN
ejpam-1074	71	25	λ	λ	PROPN
ejpam-1074	71	26	,	,	PUNCT
ejpam-1074	71	27	p	p	PROPN
ejpam-1074	71	28	f	f	X
ejpam-1074	71	29	(	(	PUNCT
ejpam-1074	71	30	z	z	NOUN
ejpam-1074	71	31	)	)	PUNCT
ejpam-1074	71	32	.	.	PUNCT
ejpam-1074	72	1	(	(	PUNCT
ejpam-1074	72	2	17	17	NUM
ejpam-1074	72	3	)	)	PUNCT
ejpam-1074	72	4	using	use	VERB
ejpam-1074	72	5	logarithmic	logarithmic	ADJ
ejpam-1074	72	6	differentiation	differentiation	NOUN
ejpam-1074	72	7	in	in	ADP
ejpam-1074	72	8	both	both	DET
ejpam-1074	72	9	sides	side	NOUN
ejpam-1074	72	10	of	of	ADP
ejpam-1074	72	11	(	(	PUNCT
ejpam-1074	72	12	17	17	NUM
ejpam-1074	72	13	)	)	PUNCT
ejpam-1074	72	14	with	with	ADP
ejpam-1074	72	15	respect	respect	NOUN
ejpam-1074	72	16	to	to	ADP
ejpam-1074	72	17	z	z	NOUN
ejpam-1074	72	18	and	and	CCONJ
ejpam-1074	72	19	multiplying	multiply	VERB
ejpam-1074	72	20	by	by	ADP
ejpam-1074	72	21	z	z	PROPN
ejpam-1074	72	22	,	,	PUNCT
ejpam-1074	72	23	we	we	PRON
ejpam-1074	72	24	get	get	VERB
ejpam-1074	72	25	zq′(z	zq′(z	NOUN
ejpam-1074	72	26	)	)	PUNCT
ejpam-1074	72	27	−pq(z	−pq(z	NOUN
ejpam-1074	72	28	)	)	PUNCT
ejpam-1074	73	1	+	+	NUM
ejpam-1074	73	2	1+λp	1+λp	NUM
ejpam-1074	73	3	λ	λ	X
ejpam-1074	73	4	+	+	X
ejpam-1074	73	5	q(z	q(z	PROPN
ejpam-1074	73	6	)	)	PUNCT
ejpam-1074	73	7	=	=	NOUN
ejpam-1074	73	8	−−	−−	NOUN
ejpam-1074	73	9	dm+1	dm+1	X
ejpam-1074	73	10	λ	λ	NOUN
ejpam-1074	73	11	,	,	PUNCT
ejpam-1074	73	12	p	p	PROPN
ejpam-1074	73	13	f	f	X
ejpam-1074	73	14	(	(	PUNCT
ejpam-1074	73	15	z	z	NOUN
ejpam-1074	73	16	)	)	PUNCT
ejpam-1074	73	17	pdm	pdm	PROPN
ejpam-1074	73	18	λ	λ	PROPN
ejpam-1074	73	19	,	,	PUNCT
ejpam-1074	73	20	p	p	PROPN
ejpam-1074	73	21	f	f	X
ejpam-1074	73	22	(	(	PUNCT
ejpam-1074	73	23	z	z	NOUN
ejpam-1074	73	24	)	)	PUNCT
ejpam-1074	73	25	≺	≺	NOUN
ejpam-1074	73	26	h(z	h(z	NOUN
ejpam-1074	73	27	)	)	PUNCT
ejpam-1074	73	28	from	from	ADP
ejpam-1074	73	29	lemma	lemma	PROPN
ejpam-1074	73	30	1	1	NUM
ejpam-1074	73	31	,	,	PUNCT
ejpam-1074	73	32	it	it	PRON
ejpam-1074	73	33	follows	follow	VERB
ejpam-1074	73	34	that	that	SCONJ
ejpam-1074	73	35	q(z)≺	q(z)≺	ADP
ejpam-1074	73	36	h(z	h(z	NOUN
ejpam-1074	73	37	)	)	PUNCT
ejpam-1074	73	38	for	for	ADP
ejpam-1074	73	39	ℜ	ℜ	ADV
ejpam-1074	73	40	n	n	PRON
ejpam-1074	73	41	−h(z	−h(z	NOUN
ejpam-1074	73	42	)	)	PUNCT
ejpam-1074	74	1	+	+	NOUN
ejpam-1074	75	1	1+λp	1+λp	NUM
ejpam-1074	75	2	λp	λp	X
ejpam-1074	75	3	o	o	X
ejpam-1074	75	4	>	>	X
ejpam-1074	75	5	0	0	PROPN
ejpam-1074	75	6	,	,	PUNCT
ejpam-1074	75	7	z	z	PROPN
ejpam-1074	75	8	∈	∈	PROPN
ejpam-1074	75	9	u∗	u∗	PROPN
ejpam-1074	75	10	,	,	PUNCT
ejpam-1074	75	11	which	which	PRON
ejpam-1074	75	12	means	mean	VERB
ejpam-1074	75	13	−	−	PROPN
ejpam-1074	75	14	z(dm	z(dm	PROPN
ejpam-1074	75	15	λ	λ	PROPN
ejpam-1074	75	16	,	,	PUNCT
ejpam-1074	75	17	p	p	PROPN
ejpam-1074	75	18	f	f	X
ejpam-1074	75	19	(	(	PUNCT
ejpam-1074	75	20	z))′	z))′	PROPN
ejpam-1074	75	21	pdm	pdm	PROPN
ejpam-1074	75	22	λ	λ	PROPN
ejpam-1074	75	23	,	,	PUNCT
ejpam-1074	75	24	p	p	PROPN
ejpam-1074	75	25	f	f	X
ejpam-1074	75	26	(	(	PUNCT
ejpam-1074	75	27	z	z	NOUN
ejpam-1074	75	28	)	)	PUNCT
ejpam-1074	75	29	≺	≺	NOUN
ejpam-1074	75	30	h(z	h(z	NOUN
ejpam-1074	75	31	)	)	PUNCT
ejpam-1074	75	32	for	for	ADP
ejpam-1074	75	33	max	max	PROPN
ejpam-1074	75	34	z∈u	z∈u	PROPN
ejpam-1074	75	35	ℜh(z	ℜh(z	PROPN
ejpam-1074	75	36	)	)	PUNCT
ejpam-1074	75	37	<	<	X
ejpam-1074	76	1	1+λp	1+λp	X
ejpam-1074	76	2	λp	λp	X
ejpam-1074	76	3	.	.	PUNCT
ejpam-1074	77	1	using	use	VERB
ejpam-1074	77	2	lemmas	lemmas	PROPN
ejpam-1074	77	3	1	1	NUM
ejpam-1074	77	4	and	and	CCONJ
ejpam-1074	77	5	2	2	NUM
ejpam-1074	77	6	and	and	CCONJ
ejpam-1074	77	7	theorem	theorem	VERB
ejpam-1074	77	8	1	1	NUM
ejpam-1074	77	9	,	,	PUNCT
ejpam-1074	77	10	we	we	PRON
ejpam-1074	77	11	now	now	ADV
ejpam-1074	77	12	derive	derive	VERB
ejpam-1074	77	13	:	:	PUNCT
ejpam-1074	77	14	theorem	theorem	NOUN
ejpam-1074	77	15	2	2	X
ejpam-1074	77	16	.	.	PUNCT
ejpam-1074	78	1	let	let	VERB
ejpam-1074	78	2	f	f	PROPN
ejpam-1074	78	3	(	(	PUNCT
ejpam-1074	78	4	z	z	NOUN
ejpam-1074	78	5	)	)	PUNCT
ejpam-1074	78	6	∈	∈	PROPN
ejpam-1074	78	7	σp	σp	PROPN
ejpam-1074	78	8	,	,	PUNCT
ejpam-1074	78	9	n	n	CCONJ
ejpam-1074	78	10	,	,	PUNCT
ejpam-1074	78	11	1	1	NUM
ejpam-1074	78	12	λ	λ	PROPN
ejpam-1074	78	13	≥	≥	NOUN
ejpam-1074	78	14	p(a−b	p(a−b	PROPN
ejpam-1074	78	15	)	)	PUNCT
ejpam-1074	78	16	1+b	1+b	NUM
ejpam-1074	78	17	,	,	PUNCT
ejpam-1074	78	18	where	where	SCONJ
ejpam-1074	78	19	−1	−1	NOUN
ejpam-1074	78	20	<	<	X
ejpam-1074	78	21	b	b	X
ejpam-1074	78	22	<	<	X
ejpam-1074	78	23	a≤	a≤	DET
ejpam-1074	78	24	1	1	NUM
ejpam-1074	78	25	.	.	PUNCT
ejpam-1074	79	1	if	if	SCONJ
ejpam-1074	79	2	�	�	PROPN
ejpam-1074	79	3	�	�	PROPN
ejpam-1074	79	4	�	�	PROPN
ejpam-1074	79	5	�	�	PROPN
ejpam-1074	79	6	�	�	PROPN
ejpam-1074	79	7	arg	arg	VERB
ejpam-1074	79	8	−	−	PROPN
ejpam-1074	79	9	z(dm+1	z(dm+1	PROPN
ejpam-1074	79	10	λ	λ	PROPN
ejpam-1074	79	11	,	,	PUNCT
ejpam-1074	79	12	p	p	PROPN
ejpam-1074	79	13	f	f	X
ejpam-1074	79	14	(	(	PUNCT
ejpam-1074	79	15	z))′	z))′	X
ejpam-1074	79	16	pdm+1	pdm+1	PROPN
ejpam-1074	79	17	λ	λ	PROPN
ejpam-1074	79	18	,	,	PUNCT
ejpam-1074	79	19	p	p	NOUN
ejpam-1074	79	20	g(z	g(z	PROPN
ejpam-1074	79	21	)	)	PUNCT
ejpam-1074	79	22	−	−	PROPN
ejpam-1074	79	23	γ	γ	X
ejpam-1074	79	24	!	!	PUNCT
ejpam-1074	79	25	�	�	PROPN
ejpam-1074	79	26	�	�	PROPN
ejpam-1074	79	27	�	�	PROPN
ejpam-1074	79	28	�	�	PROPN
ejpam-1074	79	29	�	�	PROPN
ejpam-1074	79	30	<	<	X
ejpam-1074	79	31	π	π	PROPN
ejpam-1074	79	32	2	2	NUM
ejpam-1074	79	33	δ	δ	PROPN
ejpam-1074	79	34	,	,	PUNCT
ejpam-1074	79	35	0≤	0≤	PUNCT
ejpam-1074	79	36	γ	γ	X
ejpam-1074	79	37	<	<	X
ejpam-1074	79	38	p	p	X
ejpam-1074	79	39	;	;	PUNCT
ejpam-1074	79	40	0	0	NUM
ejpam-1074	79	41	<	<	X
ejpam-1074	79	42	δ	δ	X
ejpam-1074	79	43	<	<	X
ejpam-1074	79	44	1	1	NUM
ejpam-1074	79	45	for	for	ADP
ejpam-1074	79	46	some	some	DET
ejpam-1074	79	47	g(z	g(z	PROPN
ejpam-1074	79	48	)	)	PUNCT
ejpam-1074	79	49	∈	∈	PROPN
ejpam-1074	79	50	σ∗p	σ∗p	NOUN
ejpam-1074	79	51	,	,	PUNCT
ejpam-1074	79	52	n[λ	n[λ	X
ejpam-1074	79	53	,	,	PUNCT
ejpam-1074	79	54	m+	m+	NOUN
ejpam-1074	79	55	1	1	NUM
ejpam-1074	79	56	;	;	PUNCT
ejpam-1074	79	57	a	a	DET
ejpam-1074	79	58	,	,	PUNCT
ejpam-1074	79	59	b	b	NOUN
ejpam-1074	79	60	]	]	X
ejpam-1074	79	61	then	then	ADV
ejpam-1074	79	62	�	�	PROPN
ejpam-1074	79	63	�	�	PROPN
ejpam-1074	79	64	�	�	PROPN
ejpam-1074	79	65	�	�	PROPN
ejpam-1074	79	66	�	�	PROPN
ejpam-1074	79	67	arg	arg	NOUN
ejpam-1074	79	68	−	−	PROPN
ejpam-1074	79	69	z(dm	z(dm	PROPN
ejpam-1074	79	70	λ	λ	PROPN
ejpam-1074	79	71	,	,	PUNCT
ejpam-1074	79	72	p	p	PROPN
ejpam-1074	79	73	f	f	X
ejpam-1074	79	74	(	(	PUNCT
ejpam-1074	79	75	z))′	z))′	PROPN
ejpam-1074	79	76	pdm	pdm	PROPN
ejpam-1074	79	77	λ	λ	PROPN
ejpam-1074	79	78	,	,	PUNCT
ejpam-1074	79	79	p	p	NOUN
ejpam-1074	79	80	g(z	g(z	PROPN
ejpam-1074	79	81	)	)	PUNCT
ejpam-1074	79	82	−	−	PROPN
ejpam-1074	79	83	γ	γ	X
ejpam-1074	79	84	!	!	PUNCT
ejpam-1074	79	85	�	�	PROPN
ejpam-1074	79	86	�	�	PROPN
ejpam-1074	79	87	�	�	PROPN
ejpam-1074	79	88	�	�	PROPN
ejpam-1074	79	89	�	�	PROPN
ejpam-1074	79	90	<	<	X
ejpam-1074	79	91	π	π	PROPN
ejpam-1074	79	92	2	2	NUM
ejpam-1074	79	93	α	α	NOUN
ejpam-1074	79	94	,	,	PUNCT
ejpam-1074	79	95	0	0	PUNCT
ejpam-1074	79	96	<	<	X
ejpam-1074	79	97	α≤	α≤	PROPN
ejpam-1074	79	98	1	1	NUM
ejpam-1074	79	99	a.	a.	NOUN
ejpam-1074	79	100	mostafa	mostafa	PROPN
ejpam-1074	79	101	and	and	CCONJ
ejpam-1074	79	102	m.	m.	PROPN
ejpam-1074	79	103	aouf	aouf	PROPN
ejpam-1074	79	104	/	/	SYM
ejpam-1074	79	105	eur	eur	PROPN
ejpam-1074	79	106	.	.	PUNCT
ejpam-1074	80	1	j.	j.	PROPN
ejpam-1074	80	2	pure	pure	PROPN
ejpam-1074	80	3	appl	appl	PROPN
ejpam-1074	80	4	.	.	PROPN
ejpam-1074	80	5	math	math	PROPN
ejpam-1074	80	6	,	,	PUNCT
ejpam-1074	80	7	6	6	NUM
ejpam-1074	80	8	(	(	PUNCT
ejpam-1074	80	9	2013	2013	NUM
ejpam-1074	80	10	)	)	PUNCT
ejpam-1074	80	11	,	,	PUNCT
ejpam-1074	80	12	387	387	NUM
ejpam-1074	80	13	-	-	SYM
ejpam-1074	80	14	399	399	NUM
ejpam-1074	80	15	392	392	NUM
ejpam-1074	80	16	is	be	AUX
ejpam-1074	80	17	the	the	DET
ejpam-1074	80	18	solution	solution	NOUN
ejpam-1074	80	19	of	of	ADP
ejpam-1074	80	20	the	the	DET
ejpam-1074	80	21	equation	equation	NOUN
ejpam-1074	80	22	δ	δ	NOUN
ejpam-1074	80	23	=	=	PUNCT
ejpam-1074	81	1	α+	α+	PUNCT
ejpam-1074	82	1	2	2	NUM
ejpam-1074	82	2	π	π	NOUN
ejpam-1074	82	3	tan−1	tan−1	PROPN
ejpam-1074	82	4			PROPN
ejpam-1074	82	5			NOUN
ejpam-1074	82	6			NOUN
ejpam-1074	82	7	α	α	DET
ejpam-1074	82	8	sin	sin	NOUN
ejpam-1074	82	9	π	π	PROPN
ejpam-1074	82	10	2	2	NUM
ejpam-1074	83	1	[	[	X
ejpam-1074	83	2	1−	1−	NUM
ejpam-1074	83	3	t(a	t(a	NOUN
ejpam-1074	83	4	,	,	PUNCT
ejpam-1074	83	5	b	b	NOUN
ejpam-1074	83	6	)	)	PUNCT
ejpam-1074	83	7	]	]	PUNCT
ejpam-1074	83	8	(	(	PUNCT
ejpam-1074	83	9	1−b)+λp(a−b	1−b)+λp(a−b	NUM
ejpam-1074	83	10	)	)	PUNCT
ejpam-1074	83	11	λ(1−b	λ(1−b	ADJ
ejpam-1074	83	12	)	)	PUNCT
ejpam-1074	84	1	+	+	NOUN
ejpam-1074	84	2	α	α	NOUN
ejpam-1074	84	3	cos	cos	X
ejpam-1074	84	4	π	π	PROPN
ejpam-1074	84	5	2	2	NUM
ejpam-1074	84	6	[	[	X
ejpam-1074	84	7	1−	1−	NUM
ejpam-1074	84	8	t(a	t(a	NOUN
ejpam-1074	84	9	,	,	PUNCT
ejpam-1074	84	10	b	b	NOUN
ejpam-1074	84	11	)	)	PUNCT
ejpam-1074	84	12	]	]	PUNCT
ejpam-1074	85	1			PROPN
ejpam-1074	85	2			NOUN
ejpam-1074	85	3			VERB
ejpam-1074	86	1	,	,	PUNCT
ejpam-1074	86	2	(	(	PUNCT
ejpam-1074	86	3	18	18	NUM
ejpam-1074	86	4	)	)	PUNCT
ejpam-1074	86	5	when	when	SCONJ
ejpam-1074	86	6	t(a	t(a	NOUN
ejpam-1074	86	7	,	,	PUNCT
ejpam-1074	86	8	b	b	NOUN
ejpam-1074	86	9	)	)	PUNCT
ejpam-1074	86	10	=	=	SYM
ejpam-1074	86	11	2	2	NUM
ejpam-1074	86	12	π	π	X
ejpam-1074	86	13	sin−1	sin−1	PROPN
ejpam-1074	86	14	�	�	PROPN
ejpam-1074	86	15	λp(a−	λp(a−	SYM
ejpam-1074	86	16	b	b	NOUN
ejpam-1074	86	17	)	)	PUNCT
ejpam-1074	86	18	(	(	PUNCT
ejpam-1074	86	19	1+λp)(1−	1+λp)(1−	NUM
ejpam-1074	86	20	b2)−λp(1−	b2)−λp(1−	PROPN
ejpam-1074	86	21	ab	ab	PROPN
ejpam-1074	86	22	)	)	PUNCT
ejpam-1074	86	23	�	�	PROPN
ejpam-1074	86	24	.	.	PUNCT
ejpam-1074	87	1	(	(	PUNCT
ejpam-1074	87	2	19	19	NUM
ejpam-1074	87	3	)	)	PUNCT
ejpam-1074	87	4	proof	proof	NOUN
ejpam-1074	87	5	.	.	PUNCT
ejpam-1074	88	1	let	let	VERB
ejpam-1074	88	2	q(z	q(z	NUM
ejpam-1074	88	3	)	)	PUNCT
ejpam-1074	88	4	=	=	SYM
ejpam-1074	88	5	1	1	NUM
ejpam-1074	88	6	p−	p−	NOUN
ejpam-1074	88	7	γ	γ	X
ejpam-1074	88	8	−	−	PROPN
ejpam-1074	88	9	z(dm	z(dm	PROPN
ejpam-1074	88	10	λ	λ	PROPN
ejpam-1074	88	11	,	,	PUNCT
ejpam-1074	88	12	p	p	PROPN
ejpam-1074	88	13	f	f	X
ejpam-1074	88	14	(	(	PUNCT
ejpam-1074	88	15	z))′	z))′	PROPN
ejpam-1074	88	16	pdm	pdm	PROPN
ejpam-1074	88	17	λ	λ	PROPN
ejpam-1074	88	18	,	,	PUNCT
ejpam-1074	88	19	p	p	NOUN
ejpam-1074	88	20	g(z	g(z	PROPN
ejpam-1074	88	21	)	)	PUNCT
ejpam-1074	88	22	−	−	PROPN
ejpam-1074	88	23	γ	γ	X
ejpam-1074	88	24	!	!	PUNCT
ejpam-1074	88	25	.	.	PUNCT
ejpam-1074	89	1	using	use	VERB
ejpam-1074	89	2	the	the	DET
ejpam-1074	89	3	identity	identity	NOUN
ejpam-1074	89	4	(	(	PUNCT
ejpam-1074	89	5	6	6	NUM
ejpam-1074	89	6	)	)	PUNCT
ejpam-1074	89	7	,	,	PUNCT
ejpam-1074	89	8	we	we	PRON
ejpam-1074	89	9	have	have	VERB
ejpam-1074	89	10	(	(	PUNCT
ejpam-1074	89	11	p−	p−	NOUN
ejpam-1074	89	12	γ)zq′(z)dm	γ)zq′(z)dm	NOUN
ejpam-1074	89	13	λ	λ	PROPN
ejpam-1074	89	14	,	,	PUNCT
ejpam-1074	89	15	p	p	NOUN
ejpam-1074	89	16	g(z	g(z	NOUN
ejpam-1074	89	17	)	)	PUNCT
ejpam-1074	90	1	+	+	CCONJ
ejpam-1074	90	2	(	(	PUNCT
ejpam-1074	90	3	p−	p−	INTJ
ejpam-1074	90	4	γ)q(z)z(dm	γ)q(z)z(dm	PROPN
ejpam-1074	90	5	λ	λ	PROPN
ejpam-1074	90	6	,	,	PUNCT
ejpam-1074	90	7	p	p	PROPN
ejpam-1074	90	8	f	f	X
ejpam-1074	90	9	(	(	PUNCT
ejpam-1074	90	10	z))′+	z))′+	NUM
ejpam-1074	90	11	γz(dm	γz(dm	PROPN
ejpam-1074	90	12	λ	λ	PROPN
ejpam-1074	90	13	,	,	PUNCT
ejpam-1074	90	14	p	p	X
ejpam-1074	90	15	g(z))′	g(z))′	NOUN
ejpam-1074	90	16	=	=	PUNCT
ejpam-1074	91	1	1+λp	1+λp	NUM
ejpam-1074	91	2	λ	λ	NOUN
ejpam-1074	91	3	z(dm	z(dm	PROPN
ejpam-1074	91	4	λ	λ	PROPN
ejpam-1074	91	5	,	,	PUNCT
ejpam-1074	91	6	p	p	PROPN
ejpam-1074	91	7	f	f	X
ejpam-1074	91	8	(	(	PUNCT
ejpam-1074	91	9	z))′−	z))′−	NUM
ejpam-1074	91	10	1	1	NUM
ejpam-1074	91	11	λ	λ	PROPN
ejpam-1074	91	12	z(dm+1	z(dm+1	PROPN
ejpam-1074	91	13	λ	λ	PROPN
ejpam-1074	91	14	,	,	PUNCT
ejpam-1074	91	15	p	p	PROPN
ejpam-1074	91	16	f	f	X
ejpam-1074	91	17	(	(	PUNCT
ejpam-1074	91	18	z))′.	z))′.	PROPN
ejpam-1074	91	19	(	(	PUNCT
ejpam-1074	91	20	20	20	NUM
ejpam-1074	91	21	)	)	PUNCT
ejpam-1074	91	22	simplifying	simplifying	NOUN
ejpam-1074	91	23	(	(	PUNCT
ejpam-1074	91	24	20	20	NUM
ejpam-1074	91	25	)	)	PUNCT
ejpam-1074	91	26	,	,	PUNCT
ejpam-1074	91	27	we	we	PRON
ejpam-1074	91	28	obtain	obtain	VERB
ejpam-1074	91	29	q(z	q(z	PROPN
ejpam-1074	91	30	)	)	PUNCT
ejpam-1074	91	31	+	+	NUM
ejpam-1074	91	32	zq′(z	zq′(z	PROPN
ejpam-1074	91	33	)	)	PUNCT
ejpam-1074	91	34	−r(z	−r(z	NOUN
ejpam-1074	91	35	)	)	PUNCT
ejpam-1074	92	1	+	+	NOUN
ejpam-1074	93	1	1+λp	1+λp	NUM
ejpam-1074	93	2	λ	λ	NOUN
ejpam-1074	93	3	=	=	NOUN
ejpam-1074	93	4	−	−	PROPN
ejpam-1074	93	5	1	1	NUM
ejpam-1074	93	6	p−	p−	NOUN
ejpam-1074	93	7	γ	γ	X
ejpam-1074	93	8	z(dm+1	z(dm+1	PROPN
ejpam-1074	93	9	λ	λ	PROPN
ejpam-1074	93	10	,	,	PUNCT
ejpam-1074	93	11	p	p	PROPN
ejpam-1074	93	12	f	f	X
ejpam-1074	93	13	(	(	PUNCT
ejpam-1074	93	14	z))′	z))′	X
ejpam-1074	93	15	dm+1	dm+1	PROPN
ejpam-1074	93	16	λ	λ	PROPN
ejpam-1074	93	17	,	,	PUNCT
ejpam-1074	93	18	p	p	NOUN
ejpam-1074	93	19	g(z	g(z	NOUN
ejpam-1074	93	20	)	)	PUNCT
ejpam-1074	93	21	+	+	CCONJ
ejpam-1074	93	22	γ	γ	X
ejpam-1074	93	23	!	!	PUNCT
ejpam-1074	93	24	,	,	PUNCT
ejpam-1074	93	25	(	(	PUNCT
ejpam-1074	93	26	21	21	NUM
ejpam-1074	93	27	)	)	PUNCT
ejpam-1074	93	28	where	where	SCONJ
ejpam-1074	93	29	r(z	r(z	NOUN
ejpam-1074	93	30	)	)	PUNCT
ejpam-1074	94	1	=	=	SYM
ejpam-1074	94	2	−	−	PROPN
ejpam-1074	94	3	z(dm	z(dm	PROPN
ejpam-1074	94	4	λ	λ	PROPN
ejpam-1074	94	5	,	,	PUNCT
ejpam-1074	94	6	p	p	NOUN
ejpam-1074	94	7	g(z))′	g(z))′	X
ejpam-1074	94	8	dm	dm	PROPN
ejpam-1074	94	9	λ	λ	PROPN
ejpam-1074	94	10	,	,	PUNCT
ejpam-1074	94	11	p	p	NOUN
ejpam-1074	94	12	g(z	g(z	NOUN
ejpam-1074	94	13	)	)	PUNCT
ejpam-1074	94	14	.	.	PUNCT
ejpam-1074	95	1	since	since	SCONJ
ejpam-1074	95	2	g(z	g(z	ADJ
ejpam-1074	95	3	)	)	PUNCT
ejpam-1074	95	4	∈	∈	PROPN
ejpam-1074	95	5	σ∗p	σ∗p	NOUN
ejpam-1074	95	6	,	,	PUNCT
ejpam-1074	95	7	n[λ	n[λ	X
ejpam-1074	95	8	,	,	PUNCT
ejpam-1074	95	9	m	m	PROPN
ejpam-1074	95	10	,	,	PUNCT
ejpam-1074	95	11	a	a	DET
ejpam-1074	95	12	,	,	PUNCT
ejpam-1074	95	13	b	b	NOUN
ejpam-1074	95	14	]	]	X
ejpam-1074	95	15	,	,	PUNCT
ejpam-1074	95	16	from	from	ADP
ejpam-1074	95	17	theorem	theorem	NOUN
ejpam-1074	95	18	1	1	NUM
ejpam-1074	95	19	,	,	PUNCT
ejpam-1074	95	20	we	we	PRON
ejpam-1074	95	21	have	have	VERB
ejpam-1074	95	22	r(z)≺	r(z)≺	NOUN
ejpam-1074	95	23	p	p	NOUN
ejpam-1074	95	24	1	1	NUM
ejpam-1074	95	25	+	+	NUM
ejpam-1074	95	26	az	az	PROPN
ejpam-1074	95	27	1	1	NUM
ejpam-1074	95	28	+	+	CCONJ
ejpam-1074	95	29	bz	bz	PROPN
ejpam-1074	95	30	,	,	PUNCT
ejpam-1074	95	31	using	use	VERB
ejpam-1074	95	32	(	(	PUNCT
ejpam-1074	95	33	10	10	NUM
ejpam-1074	95	34	)	)	PUNCT
ejpam-1074	95	35	,	,	PUNCT
ejpam-1074	95	36	we	we	PRON
ejpam-1074	95	37	have	have	VERB
ejpam-1074	95	38	−r(z	−r(z	NOUN
ejpam-1074	95	39	)	)	PUNCT
ejpam-1074	96	1	+	+	CCONJ
ejpam-1074	96	2	1+λp	1+λp	NUM
ejpam-1074	96	3	λ	λ	NOUN
ejpam-1074	96	4	=	=	SYM
ejpam-1074	96	5	ρei	ρei	NOUN
ejpam-1074	96	6	π	π	PROPN
ejpam-1074	96	7	2	2	NUM
ejpam-1074	96	8	φ	φ	NUM
ejpam-1074	96	9	where	where	SCONJ
ejpam-1074	96	10	(	(	PUNCT
ejpam-1074	96	11	1	1	NUM
ejpam-1074	96	12	+	+	NUM
ejpam-1074	96	13	b)−λp(a−	b)−λp(a−	PROPN
ejpam-1074	96	14	b	b	X
ejpam-1074	96	15	)	)	PUNCT
ejpam-1074	97	1	λ(1	λ(1	PROPN
ejpam-1074	97	2	+	+	NUM
ejpam-1074	97	3	b	b	NOUN
ejpam-1074	97	4	)	)	PUNCT
ejpam-1074	97	5	<	<	X
ejpam-1074	98	1	ρ	ρ	X
ejpam-1074	98	2	<	<	X
ejpam-1074	98	3	(	(	PUNCT
ejpam-1074	98	4	1−	1−	NUM
ejpam-1074	98	5	b	b	NOUN
ejpam-1074	98	6	)	)	PUNCT
ejpam-1074	98	7	+	+	PROPN
ejpam-1074	98	8	λp(a−	λp(a−	X
ejpam-1074	98	9	b	b	X
ejpam-1074	98	10	)	)	PUNCT
ejpam-1074	98	11	λ(1	λ(1	PROPN
ejpam-1074	98	12	+	+	NOUN
ejpam-1074	98	13	b	b	NOUN
ejpam-1074	98	14	)	)	PUNCT
ejpam-1074	98	15	and	and	CCONJ
ejpam-1074	98	16	−t(a	−t(a	NOUN
ejpam-1074	98	17	,	,	PUNCT
ejpam-1074	98	18	b	b	X
ejpam-1074	98	19	)	)	PUNCT
ejpam-1074	98	20	<	<	X
ejpam-1074	98	21	φ	φ	X
ejpam-1074	98	22	<	<	X
ejpam-1074	98	23	t(a	t(a	PROPN
ejpam-1074	98	24	,	,	PUNCT
ejpam-1074	98	25	b	b	NOUN
ejpam-1074	98	26	)	)	PUNCT
ejpam-1074	98	27	,	,	PUNCT
ejpam-1074	98	28	where	where	SCONJ
ejpam-1074	98	29	t(a	t(a	NOUN
ejpam-1074	98	30	,	,	PUNCT
ejpam-1074	98	31	b	b	NOUN
ejpam-1074	98	32	)	)	PUNCT
ejpam-1074	98	33	is	be	AUX
ejpam-1074	98	34	given	give	VERB
ejpam-1074	98	35	by	by	ADP
ejpam-1074	98	36	(	(	PUNCT
ejpam-1074	98	37	19	19	NUM
ejpam-1074	98	38	)	)	PUNCT
ejpam-1074	98	39	.	.	PUNCT
ejpam-1074	99	1	let	let	VERB
ejpam-1074	99	2	h	h	PRON
ejpam-1074	99	3	be	be	AUX
ejpam-1074	99	4	a	a	DET
ejpam-1074	99	5	function	function	NOUN
ejpam-1074	99	6	which	which	PRON
ejpam-1074	99	7	maps	map	VERB
ejpam-1074	99	8	u	u	NOUN
ejpam-1074	99	9	onto	onto	ADP
ejpam-1074	99	10	the	the	DET
ejpam-1074	99	11	angular	angular	ADJ
ejpam-1074	99	12	domain	domain	NOUN
ejpam-1074	99	13	{	{	PUNCT
ejpam-1074	99	14	w	w	NOUN
ejpam-1074	99	15	:	:	PUNCT
ejpam-1074	99	16	|arg	|arg	NOUN
ejpam-1074	99	17	w|	w|	PROPN
ejpam-1074	99	18	<	<	X
ejpam-1074	99	19	π	π	PROPN
ejpam-1074	99	20	2	2	NUM
ejpam-1074	99	21	δ	δ	PROPN
ejpam-1074	99	22	}	}	PUNCT
ejpam-1074	99	23	with	with	ADP
ejpam-1074	99	24	h(0	h(0	PROPN
ejpam-1074	99	25	)	)	PUNCT
ejpam-1074	99	26	=	=	SYM
ejpam-1074	100	1	1	1	X
ejpam-1074	100	2	.	.	X
ejpam-1074	100	3	applying	apply	VERB
ejpam-1074	100	4	lemma	lemma	PROPN
ejpam-1074	100	5	2	2	NUM
ejpam-1074	100	6	for	for	ADP
ejpam-1074	100	7	this	this	DET
ejpam-1074	100	8	h	h	NOUN
ejpam-1074	100	9	with	with	ADP
ejpam-1074	100	10	ψ(z	ψ(z	NOUN
ejpam-1074	100	11	)	)	PUNCT
ejpam-1074	100	12	=	=	SYM
ejpam-1074	100	13	1	1	NUM
ejpam-1074	100	14	−r(z)+	−r(z)+	PROPN
ejpam-1074	100	15	1+λp	1+λp	PROPN
ejpam-1074	101	1	λ	λ	INTJ
ejpam-1074	102	1	we	we	PRON
ejpam-1074	102	2	see	see	VERB
ejpam-1074	102	3	that	that	PRON
ejpam-1074	102	4	ℜ{q(z	ℜ{q(z	VERB
ejpam-1074	102	5	)	)	PUNCT
ejpam-1074	102	6	}	}	PUNCT
ejpam-1074	102	7	>	>	X
ejpam-1074	102	8	0	0	PUNCT
ejpam-1074	103	1	in	in	ADP
ejpam-1074	103	2	u	u	NOUN
ejpam-1074	103	3	and	and	CCONJ
ejpam-1074	103	4	hence	hence	ADV
ejpam-1074	103	5	q(z	q(z	PROPN
ejpam-1074	103	6	)	)	PUNCT
ejpam-1074	103	7	6=	6=	ADP
ejpam-1074	103	8	0	0	NUM
ejpam-1074	103	9	in	in	ADP
ejpam-1074	103	10	u	u	NOUN
ejpam-1074	103	11	.	.	PUNCT
ejpam-1074	104	1	if	if	SCONJ
ejpam-1074	104	2	there	there	PRON
ejpam-1074	104	3	exists	exist	VERB
ejpam-1074	104	4	a	a	DET
ejpam-1074	104	5	point	point	NOUN
ejpam-1074	104	6	z0	z0	PROPN
ejpam-1074	104	7	∈	∈	PROPN
ejpam-1074	104	8	u	u	NOUN
ejpam-1074	104	9	such	such	ADJ
ejpam-1074	104	10	that	that	SCONJ
ejpam-1074	104	11	the	the	DET
ejpam-1074	104	12	conditions	condition	NOUN
ejpam-1074	104	13	(	(	PUNCT
ejpam-1074	104	14	11	11	NUM
ejpam-1074	104	15	)	)	PUNCT
ejpam-1074	104	16	and	and	CCONJ
ejpam-1074	104	17	a.	a.	PROPN
ejpam-1074	104	18	mostafa	mostafa	PROPN
ejpam-1074	104	19	and	and	CCONJ
ejpam-1074	104	20	m.	m.	PROPN
ejpam-1074	104	21	aouf	aouf	PROPN
ejpam-1074	104	22	/	/	SYM
ejpam-1074	104	23	eur	eur	PROPN
ejpam-1074	104	24	.	.	PUNCT
ejpam-1074	105	1	j.	j.	PROPN
ejpam-1074	105	2	pure	pure	PROPN
ejpam-1074	105	3	appl	appl	PROPN
ejpam-1074	105	4	.	.	PROPN
ejpam-1074	105	5	math	math	PROPN
ejpam-1074	105	6	,	,	PUNCT
ejpam-1074	105	7	6	6	NUM
ejpam-1074	105	8	(	(	PUNCT
ejpam-1074	105	9	2013	2013	NUM
ejpam-1074	105	10	)	)	PUNCT
ejpam-1074	105	11	,	,	PUNCT
ejpam-1074	105	12	387	387	NUM
ejpam-1074	105	13	-	-	SYM
ejpam-1074	105	14	399	399	NUM
ejpam-1074	105	15	393	393	NUM
ejpam-1074	105	16	(	(	PUNCT
ejpam-1074	105	17	12	12	NUM
ejpam-1074	105	18	)	)	PUNCT
ejpam-1074	105	19	are	be	AUX
ejpam-1074	105	20	satisfied	satisfied	ADJ
ejpam-1074	105	21	,	,	PUNCT
ejpam-1074	105	22	then	then	ADV
ejpam-1074	105	23	by	by	ADP
ejpam-1074	105	24	using	use	VERB
ejpam-1074	105	25	lemma	lemma	PROPN
ejpam-1074	105	26	3	3	NUM
ejpam-1074	105	27	,	,	PUNCT
ejpam-1074	105	28	we	we	PRON
ejpam-1074	105	29	have	have	VERB
ejpam-1074	105	30	(	(	PUNCT
ejpam-1074	105	31	13	13	NUM
ejpam-1074	105	32	)	)	PUNCT
ejpam-1074	105	33	under	under	ADP
ejpam-1074	105	34	the	the	DET
ejpam-1074	105	35	restrictions	restriction	NOUN
ejpam-1074	105	36	(	(	PUNCT
ejpam-1074	105	37	14	14	NUM
ejpam-1074	105	38	)	)	PUNCT
ejpam-1074	105	39	,	,	PUNCT
ejpam-1074	105	40	(	(	PUNCT
ejpam-1074	105	41	15	15	NUM
ejpam-1074	105	42	)	)	PUNCT
ejpam-1074	105	43	and	and	CCONJ
ejpam-1074	105	44	(	(	PUNCT
ejpam-1074	105	45	16	16	NUM
ejpam-1074	105	46	)	)	PUNCT
ejpam-1074	105	47	.	.	PUNCT
ejpam-1074	106	1	at	at	ADP
ejpam-1074	106	2	first	first	ADV
ejpam-1074	106	3	,	,	PUNCT
ejpam-1074	106	4	suppose	suppose	VERB
ejpam-1074	106	5	that	that	SCONJ
ejpam-1074	106	6	q(z0	q(z0	NOUN
ejpam-1074	106	7	)	)	PUNCT
ejpam-1074	106	8	1	1	NUM
ejpam-1074	106	9	α	α	NOUN
ejpam-1074	106	10	=	=	PUNCT
ejpam-1074	106	11	ia(a	ia(a	X
ejpam-1074	106	12	>	>	X
ejpam-1074	106	13	0	0	NUM
ejpam-1074	106	14	)	)	PUNCT
ejpam-1074	106	15	.	.	PUNCT
ejpam-1074	107	1	then	then	ADV
ejpam-1074	107	2	we	we	PRON
ejpam-1074	107	3	obtain	obtain	VERB
ejpam-1074	107	4	arg	arg	NOUN
ejpam-1074	107	5			NOUN
ejpam-1074	107	6	−	−	SYM
ejpam-1074	107	7	1	1	NUM
ejpam-1074	107	8	p−	p−	NOUN
ejpam-1074	107	9	γ	γ	X
ejpam-1074	107	10	z(dm+1	z(dm+1	PROPN
ejpam-1074	107	11	λ	λ	PROPN
ejpam-1074	107	12	,	,	PUNCT
ejpam-1074	107	13	p	p	PROPN
ejpam-1074	107	14	f	f	X
ejpam-1074	107	15	(	(	PUNCT
ejpam-1074	107	16	z0))′	z0))′	X
ejpam-1074	107	17	dm+1	dm+1	PROPN
ejpam-1074	107	18	λ	λ	NOUN
ejpam-1074	107	19	,	,	PUNCT
ejpam-1074	107	20	p	p	NOUN
ejpam-1074	107	21	g(z0	g(z0	NOUN
ejpam-1074	107	22	)	)	PUNCT
ejpam-1074	107	23	+	+	CCONJ
ejpam-1074	107	24	γ	γ	X
ejpam-1074	107	25	!	!	PUNCT
ejpam-1074	108	1			PROPN
ejpam-1074	108	2			NUM
ejpam-1074	108	3	=	=	NOUN
ejpam-1074	108	4	arg	arg	NOUN
ejpam-1074	108	5			NOUN
ejpam-1074	108	6	q(z0	q(z0	ADV
ejpam-1074	108	7	)	)	PUNCT
ejpam-1074	108	8	+	+	CCONJ
ejpam-1074	108	9	z0q′(z0	z0q′(z0	X
ejpam-1074	108	10	)	)	PUNCT
ejpam-1074	108	11	−r(z0	−r(z0	NOUN
ejpam-1074	108	12	)	)	PUNCT
ejpam-1074	109	1	+	+	NOUN
ejpam-1074	110	1	1+λp	1+λp	NUM
ejpam-1074	110	2	λ	λ	INTJ
ejpam-1074	110	3			INTJ
ejpam-1074	110	4			PUNCT
ejpam-1074	111	1	=	=	PUNCT
ejpam-1074	111	2	π	π	SYM
ejpam-1074	111	3	2	2	NUM
ejpam-1074	111	4	α+	α+	DET
ejpam-1074	111	5	arg	arg	NOUN
ejpam-1074	111	6	�	�	PROPN
ejpam-1074	111	7	1	1	NUM
ejpam-1074	111	8	+	+	NUM
ejpam-1074	111	9	ikα	ikα	PROPN
ejpam-1074	111	10	�	�	PROPN
ejpam-1074	111	11	ρei	ρei	NOUN
ejpam-1074	111	12	π	π	PROPN
ejpam-1074	111	13	2	2	NUM
ejpam-1074	111	14	φ	φ	PROPN
ejpam-1074	111	15	�	�	PROPN
ejpam-1074	111	16	−1	−1	NOUN
ejpam-1074	111	17	�	�	PROPN
ejpam-1074	111	18	=	=	PUNCT
ejpam-1074	111	19	π	π	PROPN
ejpam-1074	111	20	2	2	X
ejpam-1074	111	21	α+	α+	DET
ejpam-1074	111	22	tan−1	tan−1	PROPN
ejpam-1074	111	23	�	�	PROPN
ejpam-1074	111	24	αk	αk	NOUN
ejpam-1074	111	25	sin	sin	NOUN
ejpam-1074	111	26	π	π	PROPN
ejpam-1074	111	27	2	2	NUM
ejpam-1074	111	28	[	[	X
ejpam-1074	111	29	1−φ	1−φ	NUM
ejpam-1074	111	30	]	]	X
ejpam-1074	111	31	ρ+αk	ρ+αk	NOUN
ejpam-1074	111	32	cos	cos	PROPN
ejpam-1074	111	33	π	π	PROPN
ejpam-1074	111	34	2	2	NUM
ejpam-1074	111	35	[	[	X
ejpam-1074	111	36	1−φ	1−φ	NUM
ejpam-1074	111	37	]	]	X
ejpam-1074	111	38	�	�	PROPN
ejpam-1074	111	39	,	,	PUNCT
ejpam-1074	111	40	≥	≥	PROPN
ejpam-1074	111	41	π	π	PROPN
ejpam-1074	111	42	2	2	NUM
ejpam-1074	111	43	α+	α+	DET
ejpam-1074	111	44	tan−1	tan−1	PROPN
ejpam-1074	111	45			NOUN
ejpam-1074	111	46			NOUN
ejpam-1074	111	47			NOUN
ejpam-1074	111	48	α	α	DET
ejpam-1074	111	49	sin	sin	NOUN
ejpam-1074	111	50	π	π	PROPN
ejpam-1074	111	51	2	2	NUM
ejpam-1074	112	1	[	[	X
ejpam-1074	112	2	1−	1−	NUM
ejpam-1074	112	3	t(a	t(a	NOUN
ejpam-1074	112	4	,	,	PUNCT
ejpam-1074	112	5	b	b	NOUN
ejpam-1074	112	6	)	)	PUNCT
ejpam-1074	112	7	]	]	PUNCT
ejpam-1074	112	8	(	(	PUNCT
ejpam-1074	112	9	1−b)+λp(a−b	1−b)+λp(a−b	NUM
ejpam-1074	112	10	)	)	PUNCT
ejpam-1074	112	11	λ(1−b	λ(1−b	ADJ
ejpam-1074	112	12	)	)	PUNCT
ejpam-1074	113	1	+	+	NOUN
ejpam-1074	113	2	α	α	NOUN
ejpam-1074	113	3	cos	cos	X
ejpam-1074	113	4	π	π	PROPN
ejpam-1074	113	5	2	2	NUM
ejpam-1074	113	6	[	[	X
ejpam-1074	113	7	1−	1−	NUM
ejpam-1074	113	8	t(a	t(a	NOUN
ejpam-1074	113	9	,	,	PUNCT
ejpam-1074	113	10	b	b	NOUN
ejpam-1074	113	11	)	)	PUNCT
ejpam-1074	113	12	]	]	PUNCT
ejpam-1074	113	13			PROPN
ejpam-1074	113	14			VERB
ejpam-1074	113	15			PUNCT
ejpam-1074	114	1	−	−	PROPN
ejpam-1074	114	2	π	π	PROPN
ejpam-1074	114	3	2	2	NUM
ejpam-1074	114	4	δ	δ	PROPN
ejpam-1074	114	5	,	,	PUNCT
ejpam-1074	114	6	where	where	SCONJ
ejpam-1074	114	7	δ	δ	PROPN
ejpam-1074	114	8	and	and	CCONJ
ejpam-1074	114	9	t(a	t(a	PROPN
ejpam-1074	114	10	,	,	PUNCT
ejpam-1074	114	11	b	b	NOUN
ejpam-1074	114	12	)	)	PUNCT
ejpam-1074	114	13	are	be	AUX
ejpam-1074	114	14	given	give	VERB
ejpam-1074	114	15	by	by	ADP
ejpam-1074	114	16	(	(	PUNCT
ejpam-1074	114	17	18	18	NUM
ejpam-1074	114	18	)	)	PUNCT
ejpam-1074	114	19	and	and	CCONJ
ejpam-1074	114	20	(	(	PUNCT
ejpam-1074	114	21	19	19	NUM
ejpam-1074	114	22	)	)	PUNCT
ejpam-1074	114	23	,	,	PUNCT
ejpam-1074	114	24	respectively	respectively	ADV
ejpam-1074	114	25	.	.	PUNCT
ejpam-1074	115	1	this	this	PRON
ejpam-1074	115	2	is	be	AUX
ejpam-1074	115	3	a	a	DET
ejpam-1074	115	4	contradiction	contradiction	NOUN
ejpam-1074	115	5	to	to	ADP
ejpam-1074	115	6	the	the	DET
ejpam-1074	115	7	assumption	assumption	NOUN
ejpam-1074	115	8	of	of	ADP
ejpam-1074	115	9	our	our	PRON
ejpam-1074	115	10	theorem	theorem	NOUN
ejpam-1074	115	11	.	.	PUNCT
ejpam-1074	116	1	next	next	ADV
ejpam-1074	116	2	,	,	PUNCT
ejpam-1074	116	3	suppose	suppose	VERB
ejpam-1074	116	4	that	that	SCONJ
ejpam-1074	116	5	q(z0	q(z0	NOUN
ejpam-1074	116	6	)	)	PUNCT
ejpam-1074	116	7	1	1	NUM
ejpam-1074	116	8	α	α	NOUN
ejpam-1074	116	9	=	=	SYM
ejpam-1074	116	10	−ia(a	−ia(a	PROPN
ejpam-1074	116	11	>	>	X
ejpam-1074	116	12	0	0	NUM
ejpam-1074	116	13	)	)	PUNCT
ejpam-1074	116	14	.	.	PUNCT
ejpam-1074	117	1	applying	apply	VERB
ejpam-1074	117	2	the	the	DET
ejpam-1074	117	3	same	same	ADJ
ejpam-1074	117	4	method	method	NOUN
ejpam-1074	117	5	as	as	ADP
ejpam-1074	117	6	the	the	DET
ejpam-1074	117	7	above	above	NOUN
ejpam-1074	117	8	,	,	PUNCT
ejpam-1074	117	9	we	we	PRON
ejpam-1074	117	10	have	have	VERB
ejpam-1074	117	11	arg	arg	NOUN
ejpam-1074	117	12			PROPN
ejpam-1074	117	13	−	−	SYM
ejpam-1074	117	14	1	1	NUM
ejpam-1074	117	15	p−	p−	NOUN
ejpam-1074	117	16	γ	γ	X
ejpam-1074	117	17	z0(d	z0(d	PROPN
ejpam-1074	117	18	m+1	m+1	NUM
ejpam-1074	117	19	λ	λ	PROPN
ejpam-1074	117	20	,	,	PUNCT
ejpam-1074	117	21	p	p	NOUN
ejpam-1074	117	22	f	f	X
ejpam-1074	117	23	(	(	PUNCT
ejpam-1074	117	24	z0))′	z0))′	X
ejpam-1074	117	25	dm+1	dm+1	PROPN
ejpam-1074	117	26	λ	λ	NOUN
ejpam-1074	117	27	,	,	PUNCT
ejpam-1074	117	28	p	p	NOUN
ejpam-1074	117	29	g(z0	g(z0	NOUN
ejpam-1074	117	30	)	)	PUNCT
ejpam-1074	117	31	+	+	CCONJ
ejpam-1074	117	32	γ	γ	X
ejpam-1074	117	33	!	!	PUNCT
ejpam-1074	118	1			PROPN
ejpam-1074	118	2			PROPN
ejpam-1074	118	3	≤−	≤−	NOUN
ejpam-1074	118	4	π	π	NOUN
ejpam-1074	118	5	2	2	NUM
ejpam-1074	118	6	α−	α−	ADP
ejpam-1074	118	7	tan−1	tan−1	PROPN
ejpam-1074	118	8			NOUN
ejpam-1074	118	9			NOUN
ejpam-1074	118	10			NOUN
ejpam-1074	118	11	α	α	DET
ejpam-1074	118	12	sin	sin	NOUN
ejpam-1074	118	13	π	π	PROPN
ejpam-1074	118	14	2	2	NUM
ejpam-1074	119	1	[	[	X
ejpam-1074	119	2	1−	1−	NUM
ejpam-1074	119	3	t(a	t(a	NOUN
ejpam-1074	119	4	,	,	PUNCT
ejpam-1074	119	5	b	b	NOUN
ejpam-1074	119	6	)	)	PUNCT
ejpam-1074	119	7	]	]	PUNCT
ejpam-1074	119	8	(	(	PUNCT
ejpam-1074	119	9	1−b)+λp(a−b	1−b)+λp(a−b	NUM
ejpam-1074	119	10	)	)	PUNCT
ejpam-1074	119	11	λ(1−b	λ(1−b	ADJ
ejpam-1074	119	12	)	)	PUNCT
ejpam-1074	120	1	+	+	NOUN
ejpam-1074	120	2	α	α	NOUN
ejpam-1074	120	3	cos	cos	X
ejpam-1074	120	4	π	π	PROPN
ejpam-1074	120	5	2	2	NUM
ejpam-1074	120	6	[	[	X
ejpam-1074	120	7	1−	1−	NUM
ejpam-1074	120	8	t(a	t(a	NOUN
ejpam-1074	120	9	,	,	PUNCT
ejpam-1074	120	10	b	b	NOUN
ejpam-1074	120	11	)	)	PUNCT
ejpam-1074	120	12	]	]	PUNCT
ejpam-1074	120	13			PROPN
ejpam-1074	120	14			VERB
ejpam-1074	120	15			PUNCT
ejpam-1074	121	1	=	=	PRON
ejpam-1074	121	2	−	−	PROPN
ejpam-1074	121	3	π	π	PROPN
ejpam-1074	121	4	2	2	NUM
ejpam-1074	121	5	δ	δ	PROPN
ejpam-1074	121	6	,	,	PUNCT
ejpam-1074	121	7	where	where	SCONJ
ejpam-1074	121	8	δ	δ	PROPN
ejpam-1074	121	9	and	and	CCONJ
ejpam-1074	121	10	t(a	t(a	NOUN
ejpam-1074	121	11	;	;	PUNCT
ejpam-1074	121	12	b	b	X
ejpam-1074	121	13	)	)	PUNCT
ejpam-1074	121	14	are	be	AUX
ejpam-1074	121	15	given	give	VERB
ejpam-1074	121	16	by	by	ADP
ejpam-1074	121	17	(	(	PUNCT
ejpam-1074	121	18	18	18	NUM
ejpam-1074	121	19	)	)	PUNCT
ejpam-1074	121	20	and	and	CCONJ
ejpam-1074	121	21	(	(	PUNCT
ejpam-1074	121	22	19	19	NUM
ejpam-1074	121	23	)	)	PUNCT
ejpam-1074	121	24	,	,	PUNCT
ejpam-1074	121	25	respectively	respectively	ADV
ejpam-1074	121	26	,	,	PUNCT
ejpam-1074	121	27	which	which	PRON
ejpam-1074	121	28	contradicts	contradict	VERB
ejpam-1074	121	29	the	the	DET
ejpam-1074	121	30	assumption	assumption	NOUN
ejpam-1074	121	31	.	.	PUNCT
ejpam-1074	122	1	therefore	therefore	ADV
ejpam-1074	122	2	we	we	PRON
ejpam-1074	122	3	complete	complete	VERB
ejpam-1074	122	4	the	the	DET
ejpam-1074	122	5	proof	proof	NOUN
ejpam-1074	122	6	of	of	ADP
ejpam-1074	122	7	our	our	PRON
ejpam-1074	122	8	theorem	theorem	NOUN
ejpam-1074	122	9	.	.	PUNCT
ejpam-1074	123	1	taking	take	VERB
ejpam-1074	123	2	a=	a=	ADV
ejpam-1074	123	3	1	1	NUM
ejpam-1074	123	4	,	,	PUNCT
ejpam-1074	123	5	b	b	X
ejpam-1074	123	6	=	=	SYM
ejpam-1074	123	7	0	0	NUM
ejpam-1074	123	8	and	and	CCONJ
ejpam-1074	123	9	δ	δ	PROPN
ejpam-1074	123	10	=	=	NOUN
ejpam-1074	123	11	1	1	NUM
ejpam-1074	123	12	in	in	ADP
ejpam-1074	123	13	theorem	theorem	NOUN
ejpam-1074	123	14	2	2	NUM
ejpam-1074	123	15	,	,	PUNCT
ejpam-1074	123	16	we	we	PRON
ejpam-1074	123	17	have	have	VERB
ejpam-1074	123	18	the	the	DET
ejpam-1074	123	19	following	follow	VERB
ejpam-1074	123	20	corollary	corollary	NOUN
ejpam-1074	123	21	.	.	PUNCT
ejpam-1074	124	1	corollary	corollary	ADJ
ejpam-1074	124	2	1	1	NUM
ejpam-1074	124	3	.	.	PUNCT
ejpam-1074	125	1	let	let	VERB
ejpam-1074	125	2	f	f	PROPN
ejpam-1074	125	3	(	(	PUNCT
ejpam-1074	125	4	z	z	NOUN
ejpam-1074	125	5	)	)	PUNCT
ejpam-1074	125	6	∈	∈	PROPN
ejpam-1074	125	7	σp	σp	PROPN
ejpam-1074	125	8	,	,	PUNCT
ejpam-1074	125	9	n.	n.	NOUN
ejpam-1074	125	10	if	if	SCONJ
ejpam-1074	125	11	−ℜ	−ℜ	PROPN
ejpam-1074	125	12	(	(	PUNCT
ejpam-1074	125	13	z(dm+1	z(dm+1	PROPN
ejpam-1074	125	14	λ	λ	PROPN
ejpam-1074	125	15	,	,	PUNCT
ejpam-1074	125	16	p	p	PROPN
ejpam-1074	125	17	f	f	X
ejpam-1074	125	18	(	(	PUNCT
ejpam-1074	125	19	z))′	z))′	X
ejpam-1074	125	20	dm+1	dm+1	PROPN
ejpam-1074	125	21	λ	λ	PROPN
ejpam-1074	125	22	,	,	PUNCT
ejpam-1074	125	23	p	p	NOUN
ejpam-1074	125	24	g(z	g(z	NOUN
ejpam-1074	125	25	)	)	PUNCT
ejpam-1074	125	26	)	)	PUNCT
ejpam-1074	125	27	>	>	X
ejpam-1074	126	1	γ	γ	X
ejpam-1074	126	2	0≤	0≤	NUM
ejpam-1074	126	3	γ	γ	X
ejpam-1074	126	4	<	<	X
ejpam-1074	126	5	p	p	PROPN
ejpam-1074	126	6	a.	a.	PROPN
ejpam-1074	126	7	mostafa	mostafa	PROPN
ejpam-1074	126	8	and	and	CCONJ
ejpam-1074	126	9	m.	m.	PROPN
ejpam-1074	126	10	aouf	aouf	PROPN
ejpam-1074	126	11	/	/	SYM
ejpam-1074	126	12	eur	eur	PROPN
ejpam-1074	126	13	.	.	PUNCT
ejpam-1074	127	1	j.	j.	PROPN
ejpam-1074	127	2	pure	pure	PROPN
ejpam-1074	127	3	appl	appl	PROPN
ejpam-1074	127	4	.	.	PROPN
ejpam-1074	127	5	math	math	PROPN
ejpam-1074	127	6	,	,	PUNCT
ejpam-1074	127	7	6	6	NUM
ejpam-1074	127	8	(	(	PUNCT
ejpam-1074	127	9	2013	2013	NUM
ejpam-1074	127	10	)	)	PUNCT
ejpam-1074	127	11	,	,	PUNCT
ejpam-1074	127	12	387	387	NUM
ejpam-1074	127	13	-	-	SYM
ejpam-1074	127	14	399	399	NUM
ejpam-1074	127	15	394	394	NUM
ejpam-1074	127	16	for	for	ADP
ejpam-1074	127	17	some	some	DET
ejpam-1074	127	18	g(z	g(z	PROPN
ejpam-1074	127	19	)	)	PUNCT
ejpam-1074	127	20	∈	∈	PROPN
ejpam-1074	127	21	σ∗p	σ∗p	PROPN
ejpam-1074	127	22	,	,	PUNCT
ejpam-1074	128	1	n	n	CCONJ
ejpam-1074	128	2	satisfying	satisfy	VERB
ejpam-1074	128	3	the	the	DET
ejpam-1074	128	4	condition	condition	NOUN
ejpam-1074	128	5	�	�	PROPN
ejpam-1074	128	6	�	�	PROPN
ejpam-1074	128	7	�	�	PROPN
ejpam-1074	128	8	�	�	PROPN
ejpam-1074	128	9	�	�	PROPN
ejpam-1074	128	10	z(dm+1	z(dm+1	PROPN
ejpam-1074	128	11	λ	λ	PROPN
ejpam-1074	128	12	,	,	PUNCT
ejpam-1074	128	13	p	p	X
ejpam-1074	128	14	g(z))′	g(z))′	NOUN
ejpam-1074	128	15	dm+1	dm+1	PROPN
ejpam-1074	128	16	λ	λ	NOUN
ejpam-1074	128	17	,	,	PUNCT
ejpam-1074	128	18	p	p	NOUN
ejpam-1074	128	19	g(z	g(z	NOUN
ejpam-1074	128	20	)	)	PUNCT
ejpam-1074	129	1	+	+	CCONJ
ejpam-1074	130	1	p	p	PROPN
ejpam-1074	130	2	�	�	PROPN
ejpam-1074	130	3	�	�	PROPN
ejpam-1074	130	4	�	�	PROPN
ejpam-1074	130	5	�	�	PROPN
ejpam-1074	130	6	�	�	PROPN
ejpam-1074	130	7	<	<	X
ejpam-1074	130	8	p	p	X
ejpam-1074	130	9	then	then	ADV
ejpam-1074	130	10	−ℜ	−ℜ	PROPN
ejpam-1074	130	11	(	(	PUNCT
ejpam-1074	130	12	z(dm	z(dm	PROPN
ejpam-1074	130	13	λ	λ	PROPN
ejpam-1074	130	14	,	,	PUNCT
ejpam-1074	130	15	p	p	PROPN
ejpam-1074	130	16	f	f	X
ejpam-1074	130	17	(	(	PUNCT
ejpam-1074	130	18	z))′	z))′	PROPN
ejpam-1074	130	19	dm	dm	PROPN
ejpam-1074	130	20	λ	λ	PROPN
ejpam-1074	130	21	,	,	PUNCT
ejpam-1074	130	22	p	p	NOUN
ejpam-1074	130	23	g(z	g(z	PROPN
ejpam-1074	130	24	)	)	PUNCT
ejpam-1074	130	25	)	)	PUNCT
ejpam-1074	131	1	>	>	X
ejpam-1074	132	1	γ	γ	X
ejpam-1074	132	2	0≤	0≤	NUM
ejpam-1074	132	3	γ	γ	X
ejpam-1074	132	4	<	<	X
ejpam-1074	132	5	p.	p.	NOUN
ejpam-1074	132	6	taking	take	VERB
ejpam-1074	132	7	a=	a=	PROPN
ejpam-1074	132	8	1	1	NUM
ejpam-1074	132	9	,	,	PUNCT
ejpam-1074	132	10	b	b	NOUN
ejpam-1074	132	11	=	=	SYM
ejpam-1074	132	12	0	0	NUM
ejpam-1074	132	13	and	and	CCONJ
ejpam-1074	132	14	g(z	g(z	ADJ
ejpam-1074	132	15	)	)	PUNCT
ejpam-1074	132	16	=	=	SYM
ejpam-1074	132	17	1	1	NUM
ejpam-1074	132	18	zp	zp	PROPN
ejpam-1074	132	19	in	in	ADP
ejpam-1074	132	20	theorem	theorem	NOUN
ejpam-1074	132	21	2	2	NUM
ejpam-1074	132	22	,	,	PUNCT
ejpam-1074	132	23	we	we	PRON
ejpam-1074	132	24	have	have	VERB
ejpam-1074	132	25	the	the	DET
ejpam-1074	132	26	following	follow	VERB
ejpam-1074	132	27	corollary	corollary	NOUN
ejpam-1074	132	28	.	.	PUNCT
ejpam-1074	133	1	corollary	corollary	ADJ
ejpam-1074	133	2	2	2	NUM
ejpam-1074	133	3	.	.	PUNCT
ejpam-1074	134	1	let	let	VERB
ejpam-1074	134	2	f	f	PROPN
ejpam-1074	134	3	(	(	PUNCT
ejpam-1074	134	4	z	z	NOUN
ejpam-1074	134	5	)	)	PUNCT
ejpam-1074	134	6	∈	∈	PROPN
ejpam-1074	134	7	σp	σp	PROPN
ejpam-1074	134	8	,	,	PUNCT
ejpam-1074	134	9	n	n	CCONJ
ejpam-1074	134	10	,	,	PUNCT
ejpam-1074	134	11	if	if	SCONJ
ejpam-1074	134	12	�	�	PROPN
ejpam-1074	134	13	�	�	PROPN
ejpam-1074	134	14	�	�	PROPN
ejpam-1074	134	15	arg	arg	NOUN
ejpam-1074	134	16	�	�	PROPN
ejpam-1074	134	17	−	−	PROPN
ejpam-1074	134	18	zp+1(dm+1	zp+1(dm+1	PROPN
ejpam-1074	134	19	λ	λ	PROPN
ejpam-1074	134	20	,	,	PUNCT
ejpam-1074	134	21	p	p	PROPN
ejpam-1074	134	22	f	f	X
ejpam-1074	134	23	(	(	PUNCT
ejpam-1074	134	24	z))′−	z))′−	PROPN
ejpam-1074	134	25	γ	γ	PROPN
ejpam-1074	134	26	�	�	PROPN
ejpam-1074	134	27	�	�	PROPN
ejpam-1074	134	28	�	�	PROPN
ejpam-1074	134	29	�	�	PROPN
ejpam-1074	134	30	<	<	X
ejpam-1074	134	31	π	π	PROPN
ejpam-1074	134	32	2	2	NUM
ejpam-1074	134	33	δ	δ	PROPN
ejpam-1074	134	34	,	,	PUNCT
ejpam-1074	134	35	0≤	0≤	PUNCT
ejpam-1074	134	36	γ	γ	X
ejpam-1074	134	37	<	<	X
ejpam-1074	134	38	p	p	X
ejpam-1074	134	39	;	;	PUNCT
ejpam-1074	134	40	0	0	NUM
ejpam-1074	134	41	<	<	X
ejpam-1074	134	42	δ	δ	PROPN
ejpam-1074	134	43	≤	≤	ADV
ejpam-1074	134	44	1	1	NUM
ejpam-1074	134	45	then	then	ADV
ejpam-1074	134	46	�	�	PROPN
ejpam-1074	134	47	�	�	PROPN
ejpam-1074	134	48	�	�	PROPN
ejpam-1074	134	49	arg	arg	NOUN
ejpam-1074	134	50	�	�	PROPN
ejpam-1074	135	1	−	−	PROPN
ejpam-1074	135	2	zp+1(dm	zp+1(dm	PROPN
ejpam-1074	135	3	λ	λ	PROPN
ejpam-1074	135	4	,	,	PUNCT
ejpam-1074	135	5	p	p	PROPN
ejpam-1074	135	6	f	f	X
ejpam-1074	135	7	(	(	PUNCT
ejpam-1074	135	8	z))′−	z))′−	PROPN
ejpam-1074	135	9	γ	γ	PROPN
ejpam-1074	135	10	�	�	PROPN
ejpam-1074	135	11	�	�	PROPN
ejpam-1074	135	12	�	�	PROPN
ejpam-1074	135	13	�	�	PROPN
ejpam-1074	135	14	<	<	X
ejpam-1074	135	15	π	π	PROPN
ejpam-1074	135	16	2	2	NUM
ejpam-1074	135	17	α	α	NOUN
ejpam-1074	135	18	,	,	PUNCT
ejpam-1074	135	19	0	0	PUNCT
ejpam-1074	135	20	<	<	X
ejpam-1074	135	21	α≤	α≤	PROPN
ejpam-1074	135	22	1	1	NUM
ejpam-1074	135	23	.	.	PUNCT
ejpam-1074	136	1	taking	take	VERB
ejpam-1074	136	2	m=	m=	PRON
ejpam-1074	136	3	0	0	NUM
ejpam-1074	137	1	and	and	CCONJ
ejpam-1074	137	2	δ	δ	X
ejpam-1074	137	3	=	=	NOUN
ejpam-1074	137	4	1	1	NUM
ejpam-1074	137	5	in	in	ADP
ejpam-1074	137	6	corollary	corollary	ADJ
ejpam-1074	137	7	2	2	NUM
ejpam-1074	137	8	,	,	PUNCT
ejpam-1074	137	9	we	we	PRON
ejpam-1074	137	10	have	have	AUX
ejpam-1074	137	11	the	the	DET
ejpam-1074	137	12	following	follow	VERB
ejpam-1074	137	13	corollary	corollary	NOUN
ejpam-1074	137	14	.	.	PUNCT
ejpam-1074	138	1	corollary	corollary	ADJ
ejpam-1074	138	2	3	3	X
ejpam-1074	138	3	.	.	PUNCT
ejpam-1074	139	1	let	let	VERB
ejpam-1074	139	2	f	f	PROPN
ejpam-1074	139	3	(	(	PUNCT
ejpam-1074	139	4	z	z	NOUN
ejpam-1074	139	5	)	)	PUNCT
ejpam-1074	139	6	∈	∈	PROPN
ejpam-1074	139	7	σp	σp	PROPN
ejpam-1074	139	8	,	,	PUNCT
ejpam-1074	139	9	n	n	CCONJ
ejpam-1074	139	10	,	,	PUNCT
ejpam-1074	139	11	if	if	SCONJ
ejpam-1074	139	12	−ℜ	−ℜ	PROPN
ejpam-1074	139	13	¦	¦	PROPN
ejpam-1074	139	14	zp+1[λz	zp+1[λz	PROPN
ejpam-1074	139	15	f	f	PROPN
ejpam-1074	139	16	′′(z	′′(z	PROPN
ejpam-1074	139	17	)	)	PUNCT
ejpam-1074	140	1	+	+	CCONJ
ejpam-1074	140	2	(	(	PUNCT
ejpam-1074	140	3	1+λ+λp	1+λ+λp	NUM
ejpam-1074	140	4	)	)	PUNCT
ejpam-1074	140	5	f	f	PROPN
ejpam-1074	140	6	′(z	′(z	NOUN
ejpam-1074	140	7	)	)	PUNCT
ejpam-1074	140	8	]	]	PUNCT
ejpam-1074	141	1	©	©	PROPN
ejpam-1074	141	2	>	>	X
ejpam-1074	141	3	γ	γ	PROPN
ejpam-1074	141	4	,	,	PUNCT
ejpam-1074	141	5	0≤	0≤	NUM
ejpam-1074	141	6	γ	γ	X
ejpam-1074	141	7	<	<	X
ejpam-1074	141	8	p	p	X
ejpam-1074	141	9	,	,	PUNCT
ejpam-1074	141	10	then	then	ADV
ejpam-1074	141	11	−ℜ	−ℜ	PROPN
ejpam-1074	141	12	¦	¦	PROPN
ejpam-1074	141	13	zp+1	zp+1	NUM
ejpam-1074	141	14	f	f	PROPN
ejpam-1074	141	15	′(z	′(z	NOUN
ejpam-1074	141	16	)	)	PUNCT
ejpam-1074	141	17	©	©	PROPN
ejpam-1074	141	18	>	>	X
ejpam-1074	141	19	γ	γ	PROPN
ejpam-1074	141	20	.	.	PROPN
ejpam-1074	141	21	remark	remark	PROPN
ejpam-1074	141	22	1	1	NUM
ejpam-1074	141	23	.	.	PUNCT
ejpam-1074	141	24	taking	take	VERB
ejpam-1074	141	25	λ	λ	X
ejpam-1074	141	26	=	=	PUNCT
ejpam-1074	141	27	p	p	NOUN
ejpam-1074	141	28	=	=	NOUN
ejpam-1074	141	29	1	1	NUM
ejpam-1074	141	30	in	in	ADP
ejpam-1074	141	31	corollary	corollary	ADJ
ejpam-1074	141	32	3	3	NUM
ejpam-1074	141	33	,	,	PUNCT
ejpam-1074	141	34	we	we	PRON
ejpam-1074	141	35	obtain	obtain	VERB
ejpam-1074	141	36	the	the	DET
ejpam-1074	141	37	result	result	NOUN
ejpam-1074	141	38	obtained	obtain	VERB
ejpam-1074	141	39	by	by	ADP
ejpam-1074	141	40	lashin	lashin	NOUN
ejpam-1074	141	41	[	[	X
ejpam-1074	141	42	6	6	NUM
ejpam-1074	141	43	,	,	PUNCT
ejpam-1074	141	44	corollary	corollary	ADJ
ejpam-1074	141	45	2.5	2.5	NUM
ejpam-1074	141	46	with	with	ADP
ejpam-1074	141	47	p	p	NOUN
ejpam-1074	141	48	=	=	NOUN
ejpam-1074	141	49	1	1	NUM
ejpam-1074	141	50	]	]	PUNCT
ejpam-1074	141	51	by	by	ADP
ejpam-1074	141	52	the	the	DET
ejpam-1074	141	53	same	same	ADJ
ejpam-1074	141	54	technique	technique	NOUN
ejpam-1074	141	55	as	as	ADP
ejpam-1074	141	56	in	in	ADP
ejpam-1074	141	57	the	the	DET
ejpam-1074	141	58	proof	proof	NOUN
ejpam-1074	141	59	of	of	ADP
ejpam-1074	141	60	theorem	theorem	NOUN
ejpam-1074	141	61	2	2	NUM
ejpam-1074	141	62	,	,	PUNCT
ejpam-1074	141	63	we	we	PRON
ejpam-1074	141	64	obtain	obtain	VERB
ejpam-1074	141	65	theorem	theorem	ADJ
ejpam-1074	141	66	3	3	X
ejpam-1074	141	67	.	.	PUNCT
ejpam-1074	142	1	let	let	VERB
ejpam-1074	142	2	f	f	PROPN
ejpam-1074	142	3	(	(	PUNCT
ejpam-1074	142	4	z	z	NOUN
ejpam-1074	142	5	)	)	PUNCT
ejpam-1074	142	6	∈	∈	PROPN
ejpam-1074	142	7	σp	σp	PROPN
ejpam-1074	142	8	,	,	PUNCT
ejpam-1074	142	9	n.	n.	PROPN
ejpam-1074	142	10	choose	choose	VERB
ejpam-1074	142	11	λ	λ	NOUN
ejpam-1074	142	12	such	such	ADJ
ejpam-1074	142	13	that	that	SCONJ
ejpam-1074	142	14	1	1	NUM
ejpam-1074	142	15	λ	λ	PROPN
ejpam-1074	142	16	≥	≥	NOUN
ejpam-1074	142	17	p(a−b	p(a−b	PROPN
ejpam-1074	142	18	)	)	PUNCT
ejpam-1074	142	19	1+b	1+b	NUM
ejpam-1074	142	20	,	,	PUNCT
ejpam-1074	142	21	where	where	SCONJ
ejpam-1074	142	22	−1	−1	NOUN
ejpam-1074	142	23	<	<	X
ejpam-1074	142	24	b	b	X
ejpam-1074	142	25	<	<	X
ejpam-1074	142	26	a≤	a≤	DET
ejpam-1074	142	27	1	1	NUM
ejpam-1074	142	28	.	.	PUNCT
ejpam-1074	143	1	if	if	SCONJ
ejpam-1074	143	2	�	�	PROPN
ejpam-1074	143	3	�	�	PROPN
ejpam-1074	143	4	�	�	PROPN
ejpam-1074	143	5	�	�	PROPN
ejpam-1074	143	6	�	�	PROPN
ejpam-1074	143	7	arg	arg	NOUN
ejpam-1074	143	8	(	(	PUNCT
ejpam-1074	143	9	z(dm+1	z(dm+1	PROPN
ejpam-1074	143	10	λ	λ	PROPN
ejpam-1074	143	11	,	,	PUNCT
ejpam-1074	143	12	p	p	PROPN
ejpam-1074	143	13	f	f	X
ejpam-1074	143	14	(	(	PUNCT
ejpam-1074	143	15	z))′	z))′	X
ejpam-1074	143	16	dm+1	dm+1	PROPN
ejpam-1074	143	17	λ	λ	PROPN
ejpam-1074	143	18	,	,	PUNCT
ejpam-1074	143	19	p	p	NOUN
ejpam-1074	143	20	g(z	g(z	PROPN
ejpam-1074	143	21	)	)	PUNCT
ejpam-1074	143	22	+	+	CCONJ
ejpam-1074	143	23	γ	γ	X
ejpam-1074	143	24	)	)	PUNCT
ejpam-1074	143	25	�	�	PROPN
ejpam-1074	143	26	�	�	PROPN
ejpam-1074	143	27	�	�	PROPN
ejpam-1074	143	28	�	�	PROPN
ejpam-1074	143	29	�	�	PROPN
ejpam-1074	143	30	<	<	X
ejpam-1074	143	31	π	π	PROPN
ejpam-1074	143	32	2	2	NUM
ejpam-1074	143	33	δ	δ	PROPN
ejpam-1074	143	34	,	,	PUNCT
ejpam-1074	143	35	γ	γ	X
ejpam-1074	143	36	>	>	X
ejpam-1074	143	37	p	p	X
ejpam-1074	143	38	;	;	PUNCT
ejpam-1074	143	39	0	0	NUM
ejpam-1074	143	40	<	<	X
ejpam-1074	143	41	δ	δ	X
ejpam-1074	143	42	<	<	X
ejpam-1074	143	43	1	1	NUM
ejpam-1074	143	44	for	for	ADP
ejpam-1074	143	45	some	some	DET
ejpam-1074	143	46	g(z	g(z	PROPN
ejpam-1074	143	47	)	)	PUNCT
ejpam-1074	143	48	∈	∈	PROPN
ejpam-1074	143	49	σ∗p	σ∗p	NOUN
ejpam-1074	143	50	,	,	PUNCT
ejpam-1074	143	51	n[λ	n[λ	X
ejpam-1074	143	52	,	,	PUNCT
ejpam-1074	143	53	m+	m+	NOUN
ejpam-1074	143	54	1	1	NUM
ejpam-1074	143	55	;	;	PUNCT
ejpam-1074	143	56	a	a	DET
ejpam-1074	143	57	,	,	PUNCT
ejpam-1074	143	58	b	b	NOUN
ejpam-1074	143	59	]	]	X
ejpam-1074	143	60	,	,	PUNCT
ejpam-1074	143	61	then	then	ADV
ejpam-1074	143	62	�	�	PROPN
ejpam-1074	143	63	�	�	PROPN
ejpam-1074	143	64	�	�	PROPN
ejpam-1074	143	65	�	�	PROPN
ejpam-1074	143	66	�	�	PROPN
ejpam-1074	143	67	arg	arg	NOUN
ejpam-1074	143	68	(	(	PUNCT
ejpam-1074	143	69	z(dm	z(dm	PROPN
ejpam-1074	143	70	λ	λ	PROPN
ejpam-1074	143	71	,	,	PUNCT
ejpam-1074	143	72	p	p	PROPN
ejpam-1074	143	73	f	f	X
ejpam-1074	143	74	(	(	PUNCT
ejpam-1074	143	75	z))′	z))′	PROPN
ejpam-1074	143	76	dm	dm	PROPN
ejpam-1074	143	77	λ	λ	PROPN
ejpam-1074	143	78	,	,	PUNCT
ejpam-1074	143	79	p	p	NOUN
ejpam-1074	143	80	g(z	g(z	PROPN
ejpam-1074	143	81	)	)	PUNCT
ejpam-1074	143	82	+	+	CCONJ
ejpam-1074	143	83	γ	γ	X
ejpam-1074	143	84	)	)	PUNCT
ejpam-1074	143	85	�	�	PROPN
ejpam-1074	143	86	�	�	PROPN
ejpam-1074	143	87	�	�	PROPN
ejpam-1074	143	88	�	�	PROPN
ejpam-1074	143	89	�	�	PROPN
ejpam-1074	143	90	<	<	X
ejpam-1074	143	91	π	π	PROPN
ejpam-1074	143	92	2	2	NUM
ejpam-1074	143	93	α	α	NOUN
ejpam-1074	143	94	,	,	PUNCT
ejpam-1074	143	95	0	0	PUNCT
ejpam-1074	143	96	<	<	X
ejpam-1074	143	97	α≤	α≤	PROPN
ejpam-1074	143	98	1	1	NUM
ejpam-1074	143	99	is	be	AUX
ejpam-1074	143	100	the	the	DET
ejpam-1074	143	101	solution	solution	NOUN
ejpam-1074	143	102	of	of	ADP
ejpam-1074	143	103	the	the	DET
ejpam-1074	143	104	equation	equation	NOUN
ejpam-1074	143	105	(	(	PUNCT
ejpam-1074	143	106	18	18	NUM
ejpam-1074	143	107	)	)	PUNCT
ejpam-1074	143	108	.	.	PUNCT
ejpam-1074	144	1	a.	a.	PROPN
ejpam-1074	144	2	mostafa	mostafa	PROPN
ejpam-1074	144	3	and	and	CCONJ
ejpam-1074	144	4	m.	m.	PROPN
ejpam-1074	144	5	aouf	aouf	PROPN
ejpam-1074	144	6	/	/	SYM
ejpam-1074	144	7	eur	eur	PROPN
ejpam-1074	144	8	.	.	PUNCT
ejpam-1074	145	1	j.	j.	PROPN
ejpam-1074	145	2	pure	pure	PROPN
ejpam-1074	145	3	appl	appl	PROPN
ejpam-1074	145	4	.	.	PROPN
ejpam-1074	145	5	math	math	PROPN
ejpam-1074	145	6	,	,	PUNCT
ejpam-1074	145	7	6	6	NUM
ejpam-1074	145	8	(	(	PUNCT
ejpam-1074	145	9	2013	2013	NUM
ejpam-1074	145	10	)	)	PUNCT
ejpam-1074	145	11	,	,	PUNCT
ejpam-1074	145	12	387	387	NUM
ejpam-1074	145	13	-	-	SYM
ejpam-1074	145	14	399	399	NUM
ejpam-1074	145	15	395	395	NUM
ejpam-1074	145	16	theorem	theorem	NOUN
ejpam-1074	145	17	4	4	NUM
ejpam-1074	145	18	.	.	PUNCT
ejpam-1074	146	1	let	let	VERB
ejpam-1074	146	2	h	h	NOUN
ejpam-1074	146	3	be	be	AUX
ejpam-1074	146	4	convex	convex	ADJ
ejpam-1074	146	5	univalent	univalent	ADJ
ejpam-1074	146	6	in	in	ADP
ejpam-1074	146	7	u	u	NOUN
ejpam-1074	146	8	with	with	ADP
ejpam-1074	146	9	h(0	h(0	PROPN
ejpam-1074	146	10	)	)	PUNCT
ejpam-1074	146	11	=	=	SYM
ejpam-1074	146	12	1	1	NUM
ejpam-1074	146	13	and	and	CCONJ
ejpam-1074	146	14	ℜh	ℜh	PROPN
ejpam-1074	146	15	be	be	AUX
ejpam-1074	146	16	bounded	bound	VERB
ejpam-1074	146	17	in	in	ADP
ejpam-1074	146	18	u.	u.	NOUN
ejpam-1074	146	19	let	let	VERB
ejpam-1074	146	20	fυ	fυ	AUX
ejpam-1074	146	21	,	,	PUNCT
ejpam-1074	146	22	p	p	X
ejpam-1074	146	23	(	(	PUNCT
ejpam-1074	146	24	f	f	PROPN
ejpam-1074	146	25	)	)	PUNCT
ejpam-1074	146	26	(	(	PUNCT
ejpam-1074	146	27	z	z	X
ejpam-1074	146	28	)	)	PUNCT
ejpam-1074	146	29	be	be	AUX
ejpam-1074	146	30	the	the	DET
ejpam-1074	146	31	integral	integral	ADJ
ejpam-1074	146	32	operator	operator	NOUN
ejpam-1074	146	33	defined	define	VERB
ejpam-1074	146	34	by	by	ADP
ejpam-1074	146	35	(	(	PUNCT
ejpam-1074	146	36	7	7	NUM
ejpam-1074	146	37	)	)	PUNCT
ejpam-1074	146	38	.	.	PUNCT
ejpam-1074	147	1	if	if	SCONJ
ejpam-1074	147	2	f	f	PROPN
ejpam-1074	147	3	(	(	PUNCT
ejpam-1074	147	4	z	z	NOUN
ejpam-1074	147	5	)	)	PUNCT
ejpam-1074	147	6	∈	∈	PROPN
ejpam-1074	147	7	σp	σp	PROPN
ejpam-1074	147	8	,	,	PUNCT
ejpam-1074	147	9	n	n	PRON
ejpam-1074	147	10	satisfies	satisfy	VERB
ejpam-1074	147	11	the	the	DET
ejpam-1074	147	12	condition	condition	NOUN
ejpam-1074	147	13	−	−	PROPN
ejpam-1074	147	14	z(dm	z(dm	PROPN
ejpam-1074	147	15	λ	λ	PROPN
ejpam-1074	147	16	,	,	PUNCT
ejpam-1074	147	17	p	p	PROPN
ejpam-1074	147	18	f	f	X
ejpam-1074	147	19	(	(	PUNCT
ejpam-1074	147	20	z))′	z))′	PROPN
ejpam-1074	147	21	pdm	pdm	PROPN
ejpam-1074	147	22	λ	λ	PROPN
ejpam-1074	147	23	,	,	PUNCT
ejpam-1074	147	24	p	p	PROPN
ejpam-1074	147	25	f	f	X
ejpam-1074	147	26	(	(	PUNCT
ejpam-1074	147	27	z	z	NOUN
ejpam-1074	147	28	)	)	PUNCT
ejpam-1074	147	29	≺	≺	NOUN
ejpam-1074	147	30	h(z	h(z	NOUN
ejpam-1074	147	31	)	)	PUNCT
ejpam-1074	147	32	then	then	ADV
ejpam-1074	147	33	−	−	PROPN
ejpam-1074	147	34	z(dm	z(dm	PROPN
ejpam-1074	147	35	λ	λ	PROPN
ejpam-1074	147	36	,	,	PUNCT
ejpam-1074	147	37	pfυ	pfυ	NOUN
ejpam-1074	147	38	,	,	PUNCT
ejpam-1074	147	39	p	p	X
ejpam-1074	147	40	(	(	PUNCT
ejpam-1074	147	41	f	f	PROPN
ejpam-1074	147	42	)	)	PUNCT
ejpam-1074	147	43	(	(	PUNCT
ejpam-1074	147	44	z))′	z))′	X
ejpam-1074	147	45	pdm	pdm	PROPN
ejpam-1074	147	46	λ	λ	PROPN
ejpam-1074	147	47	,	,	PUNCT
ejpam-1074	147	48	pfυ	pfυ	NOUN
ejpam-1074	147	49	,	,	PUNCT
ejpam-1074	147	50	p	p	X
ejpam-1074	147	51	(	(	PUNCT
ejpam-1074	147	52	f	f	PROPN
ejpam-1074	147	53	)	)	PUNCT
ejpam-1074	147	54	(	(	PUNCT
ejpam-1074	147	55	z	z	NOUN
ejpam-1074	147	56	)	)	PUNCT
ejpam-1074	147	57	≺	≺	NOUN
ejpam-1074	147	58	h(z	h(z	NOUN
ejpam-1074	147	59	)	)	PUNCT
ejpam-1074	147	60	for	for	ADP
ejpam-1074	147	61	max	max	PROPN
ejpam-1074	147	62	z∈u	z∈u	PROPN
ejpam-1074	147	63	ℜh(z	ℜh(z	PROPN
ejpam-1074	147	64	)	)	PUNCT
ejpam-1074	147	65	<	<	X
ejpam-1074	147	66	υ+p	υ+p	X
ejpam-1074	147	67	p	p	X
ejpam-1074	147	68	(	(	PUNCT
ejpam-1074	147	69	provided	provide	VERB
ejpam-1074	147	70	dm	dm	PROPN
ejpam-1074	147	71	λ	λ	PROPN
ejpam-1074	147	72	,	,	PUNCT
ejpam-1074	147	73	pfυ	pfυ	NOUN
ejpam-1074	147	74	,	,	PUNCT
ejpam-1074	147	75	p	p	X
ejpam-1074	147	76	(	(	PUNCT
ejpam-1074	147	77	f	f	PROPN
ejpam-1074	147	78	)	)	PUNCT
ejpam-1074	147	79	(	(	PUNCT
ejpam-1074	147	80	z	z	NOUN
ejpam-1074	147	81	)	)	PUNCT
ejpam-1074	147	82	6=	6=	ADP
ejpam-1074	147	83	0	0	NUM
ejpam-1074	147	84	in	in	ADP
ejpam-1074	147	85	u∗	u∗	PROPN
ejpam-1074	147	86	)	)	PUNCT
ejpam-1074	147	87	.	.	PUNCT
ejpam-1074	148	1	proof	proof	NOUN
ejpam-1074	148	2	.	.	PUNCT
ejpam-1074	149	1	let	let	VERB
ejpam-1074	149	2	q(z	q(z	NUM
ejpam-1074	149	3	)	)	PUNCT
ejpam-1074	149	4	=	=	NOUN
ejpam-1074	149	5	−	−	PROPN
ejpam-1074	149	6	z(dm	z(dm	PROPN
ejpam-1074	149	7	λ	λ	PROPN
ejpam-1074	149	8	,	,	PUNCT
ejpam-1074	149	9	pfυ	pfυ	NOUN
ejpam-1074	149	10	,	,	PUNCT
ejpam-1074	149	11	p	p	X
ejpam-1074	149	12	(	(	PUNCT
ejpam-1074	149	13	f	f	PROPN
ejpam-1074	149	14	)	)	PUNCT
ejpam-1074	149	15	(	(	PUNCT
ejpam-1074	149	16	z))′	z))′	X
ejpam-1074	149	17	pdm	pdm	PROPN
ejpam-1074	149	18	λ	λ	PROPN
ejpam-1074	149	19	,	,	PUNCT
ejpam-1074	149	20	pfυ	pfυ	NOUN
ejpam-1074	149	21	,	,	PUNCT
ejpam-1074	149	22	p	p	X
ejpam-1074	149	23	(	(	PUNCT
ejpam-1074	149	24	f	f	PROPN
ejpam-1074	149	25	)	)	PUNCT
ejpam-1074	149	26	(	(	PUNCT
ejpam-1074	149	27	z	z	NOUN
ejpam-1074	149	28	)	)	PUNCT
ejpam-1074	149	29	.	.	PUNCT
ejpam-1074	150	1	then	then	ADV
ejpam-1074	150	2	,	,	PUNCT
ejpam-1074	150	3	by	by	ADP
ejpam-1074	150	4	using	use	VERB
ejpam-1074	150	5	(	(	PUNCT
ejpam-1074	150	6	8)	8)	NUM
ejpam-1074	150	7	,	,	PUNCT
ejpam-1074	150	8	we	we	PRON
ejpam-1074	150	9	have	have	VERB
ejpam-1074	150	10	pq(z)−	pq(z)−	NOUN
ejpam-1074	150	11	(	(	PUNCT
ejpam-1074	150	12	υ+	υ+	X
ejpam-1074	150	13	p	p	X
ejpam-1074	150	14	)	)	PUNCT
ejpam-1074	150	15	=	=	NOUN
ejpam-1074	150	16	−υ	−υ	NOUN
ejpam-1074	150	17	dm	dm	PROPN
ejpam-1074	150	18	λ	λ	PROPN
ejpam-1074	150	19	,	,	PUNCT
ejpam-1074	150	20	p	p	PROPN
ejpam-1074	150	21	f	f	X
ejpam-1074	150	22	(	(	PUNCT
ejpam-1074	150	23	z	z	NOUN
ejpam-1074	150	24	)	)	PUNCT
ejpam-1074	150	25	dm	dm	PROPN
ejpam-1074	150	26	λ	λ	PROPN
ejpam-1074	150	27	,	,	PUNCT
ejpam-1074	150	28	pfυ	pfυ	NOUN
ejpam-1074	150	29	,	,	PUNCT
ejpam-1074	150	30	p	p	X
ejpam-1074	150	31	(	(	PUNCT
ejpam-1074	150	32	f	f	PROPN
ejpam-1074	150	33	)	)	PUNCT
ejpam-1074	150	34	(	(	PUNCT
ejpam-1074	150	35	z	z	NOUN
ejpam-1074	150	36	)	)	PUNCT
ejpam-1074	150	37	.	.	PUNCT
ejpam-1074	151	1	(	(	PUNCT
ejpam-1074	151	2	22	22	X
ejpam-1074	151	3	)	)	PUNCT
ejpam-1074	151	4	taking	take	VERB
ejpam-1074	151	5	logarithmic	logarithmic	ADJ
ejpam-1074	151	6	derivatives	derivative	NOUN
ejpam-1074	151	7	in	in	ADP
ejpam-1074	151	8	both	both	DET
ejpam-1074	151	9	sides	side	NOUN
ejpam-1074	151	10	of	of	ADP
ejpam-1074	151	11	(	(	PUNCT
ejpam-1074	151	12	22	22	NUM
ejpam-1074	151	13	)	)	PUNCT
ejpam-1074	151	14	with	with	ADP
ejpam-1074	151	15	respect	respect	NOUN
ejpam-1074	151	16	to	to	ADP
ejpam-1074	151	17	z	z	NOUN
ejpam-1074	151	18	and	and	CCONJ
ejpam-1074	151	19	multiplying	multiply	VERB
ejpam-1074	151	20	by	by	ADP
ejpam-1074	151	21	z	z	PROPN
ejpam-1074	151	22	,	,	PUNCT
ejpam-1074	151	23	we	we	PRON
ejpam-1074	151	24	get	get	VERB
ejpam-1074	151	25	q(z	q(z	PROPN
ejpam-1074	151	26	)	)	PUNCT
ejpam-1074	152	1	+	+	NUM
ejpam-1074	152	2	zq′(z	zq′(z	NOUN
ejpam-1074	152	3	)	)	PUNCT
ejpam-1074	152	4	−pq(z	−pq(z	NOUN
ejpam-1074	152	5	)	)	PUNCT
ejpam-1074	153	1	+	+	CCONJ
ejpam-1074	153	2	(	(	PUNCT
ejpam-1074	153	3	υ+	υ+	X
ejpam-1074	153	4	p	p	X
ejpam-1074	153	5	)	)	PUNCT
ejpam-1074	153	6	=	=	NOUN
ejpam-1074	153	7	−	−	PROPN
ejpam-1074	153	8	z(dm	z(dm	PROPN
ejpam-1074	153	9	λ	λ	PROPN
ejpam-1074	153	10	,	,	PUNCT
ejpam-1074	153	11	p	p	PROPN
ejpam-1074	153	12	f	f	X
ejpam-1074	153	13	(	(	PUNCT
ejpam-1074	153	14	z))′	z))′	PROPN
ejpam-1074	153	15	pdm	pdm	PROPN
ejpam-1074	153	16	λ	λ	PROPN
ejpam-1074	153	17	,	,	PUNCT
ejpam-1074	153	18	p	p	PROPN
ejpam-1074	153	19	f	f	X
ejpam-1074	153	20	(	(	PUNCT
ejpam-1074	153	21	z	z	NOUN
ejpam-1074	153	22	)	)	PUNCT
ejpam-1074	153	23	≺	≺	NOUN
ejpam-1074	153	24	h(z	h(z	NOUN
ejpam-1074	153	25	)	)	PUNCT
ejpam-1074	153	26	.	.	PUNCT
ejpam-1074	154	1	therefore	therefore	ADV
ejpam-1074	154	2	,	,	PUNCT
ejpam-1074	154	3	by	by	ADP
ejpam-1074	154	4	using	use	VERB
ejpam-1074	154	5	lemma	lemma	PROPN
ejpam-1074	154	6	1	1	NUM
ejpam-1074	154	7	,	,	PUNCT
ejpam-1074	154	8	we	we	PRON
ejpam-1074	154	9	have	have	VERB
ejpam-1074	154	10	−	−	PROPN
ejpam-1074	154	11	z(dm	z(dm	PROPN
ejpam-1074	154	12	λ	λ	PROPN
ejpam-1074	154	13	,	,	PUNCT
ejpam-1074	154	14	pfυ	pfυ	NOUN
ejpam-1074	154	15	,	,	PUNCT
ejpam-1074	154	16	p	p	X
ejpam-1074	154	17	(	(	PUNCT
ejpam-1074	154	18	f	f	PROPN
ejpam-1074	154	19	)	)	PUNCT
ejpam-1074	154	20	(	(	PUNCT
ejpam-1074	154	21	z))′	z))′	X
ejpam-1074	154	22	pdm	pdm	PROPN
ejpam-1074	154	23	λ	λ	PROPN
ejpam-1074	154	24	,	,	PUNCT
ejpam-1074	154	25	pfυ	pfυ	NOUN
ejpam-1074	154	26	,	,	PUNCT
ejpam-1074	154	27	p	p	X
ejpam-1074	154	28	(	(	PUNCT
ejpam-1074	154	29	f	f	PROPN
ejpam-1074	154	30	)	)	PUNCT
ejpam-1074	154	31	(	(	PUNCT
ejpam-1074	154	32	z	z	NOUN
ejpam-1074	154	33	)	)	PUNCT
ejpam-1074	154	34	.	.	PUNCT
ejpam-1074	155	1	for	for	ADP
ejpam-1074	155	2	max	max	PROPN
ejpam-1074	155	3	z∈u	z∈u	PROPN
ejpam-1074	155	4	ℜh(z	ℜh(z	PROPN
ejpam-1074	155	5	)	)	PUNCT
ejpam-1074	155	6	<	<	X
ejpam-1074	155	7	υ+p	υ+p	X
ejpam-1074	155	8	p	p	X
ejpam-1074	155	9	(	(	PUNCT
ejpam-1074	155	10	provided	provide	VERB
ejpam-1074	155	11	dm	dm	PROPN
ejpam-1074	155	12	λ	λ	PROPN
ejpam-1074	155	13	,	,	PUNCT
ejpam-1074	155	14	pfυ	pfυ	NOUN
ejpam-1074	155	15	,	,	PUNCT
ejpam-1074	155	16	p	p	X
ejpam-1074	155	17	(	(	PUNCT
ejpam-1074	155	18	f	f	PROPN
ejpam-1074	155	19	)	)	PUNCT
ejpam-1074	155	20	(	(	PUNCT
ejpam-1074	155	21	z	z	NOUN
ejpam-1074	155	22	)	)	PUNCT
ejpam-1074	155	23	6=	6=	ADP
ejpam-1074	155	24	0	0	NUM
ejpam-1074	155	25	in	in	ADP
ejpam-1074	155	26	u∗	u∗	PROPN
ejpam-1074	155	27	)	)	PUNCT
ejpam-1074	155	28	.	.	PUNCT
ejpam-1074	156	1	this	this	PRON
ejpam-1074	156	2	completes	complete	VERB
ejpam-1074	156	3	the	the	DET
ejpam-1074	156	4	proof	proof	NOUN
ejpam-1074	156	5	of	of	ADP
ejpam-1074	156	6	theorem	theorem	ADJ
ejpam-1074	156	7	4	4	NUM
ejpam-1074	156	8	.	.	PUNCT
ejpam-1074	156	9	theorem	theorem	NOUN
ejpam-1074	156	10	5	5	NUM
ejpam-1074	156	11	.	.	PUNCT
ejpam-1074	157	1	let	let	VERB
ejpam-1074	157	2	f	f	PROPN
ejpam-1074	157	3	(	(	PUNCT
ejpam-1074	157	4	z	z	NOUN
ejpam-1074	157	5	)	)	PUNCT
ejpam-1074	157	6	∈	∈	PROPN
ejpam-1074	157	7	σp	σp	PROPN
ejpam-1074	157	8	,	,	PUNCT
ejpam-1074	157	9	n	n	PROPN
ejpam-1074	157	10	and	and	CCONJ
ejpam-1074	157	11	choose	choose	VERB
ejpam-1074	157	12	a	a	DET
ejpam-1074	157	13	positive	positive	ADJ
ejpam-1074	157	14	number	number	NOUN
ejpam-1074	157	15	υ	υ	ADP
ejpam-1074	157	16	such	such	ADJ
ejpam-1074	157	17	that	that	SCONJ
ejpam-1074	157	18	υ	υ	PROPN
ejpam-1074	157	19	≥	≥	NOUN
ejpam-1074	158	1	p	p	NOUN
ejpam-1074	158	2	a−b	a−b	PROPN
ejpam-1074	158	3	1+b	1+b	NUM
ejpam-1074	158	4	,	,	PUNCT
ejpam-1074	158	5	where	where	SCONJ
ejpam-1074	158	6	−1	−1	NOUN
ejpam-1074	158	7	<	<	X
ejpam-1074	158	8	b	b	X
ejpam-1074	158	9	<	<	X
ejpam-1074	158	10	a≤	a≤	DET
ejpam-1074	158	11	1	1	NUM
ejpam-1074	158	12	.	.	PUNCT
ejpam-1074	159	1	if	if	SCONJ
ejpam-1074	159	2	�	�	PROPN
ejpam-1074	159	3	�	�	PROPN
ejpam-1074	159	4	�	�	PROPN
ejpam-1074	159	5	�	�	PROPN
ejpam-1074	159	6	�	�	PROPN
ejpam-1074	159	7	arg	arg	NOUN
ejpam-1074	159	8	(	(	PUNCT
ejpam-1074	159	9	−	−	PROPN
ejpam-1074	159	10	z(dm	z(dm	PROPN
ejpam-1074	159	11	λ	λ	PROPN
ejpam-1074	159	12	,	,	PUNCT
ejpam-1074	159	13	p	p	PROPN
ejpam-1074	159	14	f	f	X
ejpam-1074	159	15	(	(	PUNCT
ejpam-1074	159	16	z))′	z))′	PROPN
ejpam-1074	159	17	pdm	pdm	PROPN
ejpam-1074	159	18	λ	λ	PROPN
ejpam-1074	159	19	,	,	PUNCT
ejpam-1074	159	20	p	p	NOUN
ejpam-1074	159	21	g(z	g(z	PROPN
ejpam-1074	159	22	)	)	PUNCT
ejpam-1074	159	23	−	−	PROPN
ejpam-1074	159	24	γ	γ	PROPN
ejpam-1074	159	25	)	)	PUNCT
ejpam-1074	159	26	�	�	PROPN
ejpam-1074	159	27	�	�	PROPN
ejpam-1074	159	28	�	�	PROPN
ejpam-1074	159	29	�	�	PROPN
ejpam-1074	159	30	�	�	PROPN
ejpam-1074	159	31	<	<	X
ejpam-1074	159	32	π	π	PROPN
ejpam-1074	159	33	2	2	NUM
ejpam-1074	159	34	δ	δ	PROPN
ejpam-1074	159	35	,	,	PUNCT
ejpam-1074	159	36	0≤	0≤	PUNCT
ejpam-1074	159	37	γ	γ	X
ejpam-1074	159	38	<	<	X
ejpam-1074	159	39	p	p	X
ejpam-1074	159	40	;	;	PUNCT
ejpam-1074	159	41	0	0	NUM
ejpam-1074	159	42	<	<	X
ejpam-1074	159	43	δ	δ	PROPN
ejpam-1074	159	44	≤	≤	ADV
ejpam-1074	159	45	1	1	NUM
ejpam-1074	159	46	,	,	PUNCT
ejpam-1074	159	47	for	for	ADP
ejpam-1074	159	48	some	some	DET
ejpam-1074	159	49	g(z	g(z	PROPN
ejpam-1074	159	50	)	)	PUNCT
ejpam-1074	159	51	∈	∈	PROPN
ejpam-1074	159	52	σ∗p	σ∗p	NOUN
ejpam-1074	159	53	,	,	PUNCT
ejpam-1074	159	54	n[λ	n[λ	X
ejpam-1074	159	55	,	,	PUNCT
ejpam-1074	159	56	m	m	PRON
ejpam-1074	159	57	;	;	PUNCT
ejpam-1074	159	58	a	a	DET
ejpam-1074	159	59	,	,	PUNCT
ejpam-1074	159	60	b	b	NOUN
ejpam-1074	159	61	]	]	X
ejpam-1074	159	62	then	then	ADV
ejpam-1074	159	63	�	�	PROPN
ejpam-1074	159	64	�	�	PROPN
ejpam-1074	159	65	�	�	PROPN
ejpam-1074	159	66	�	�	PROPN
ejpam-1074	159	67	�	�	PROPN
ejpam-1074	159	68	arg	arg	NOUN
ejpam-1074	159	69	−	−	PROPN
ejpam-1074	159	70	z(dm	z(dm	PROPN
ejpam-1074	159	71	λ	λ	PROPN
ejpam-1074	159	72	,	,	PUNCT
ejpam-1074	159	73	pfυ	pfυ	NOUN
ejpam-1074	159	74	,	,	PUNCT
ejpam-1074	159	75	p	p	X
ejpam-1074	159	76	(	(	PUNCT
ejpam-1074	159	77	f	f	PROPN
ejpam-1074	159	78	)	)	PUNCT
ejpam-1074	159	79	(	(	PUNCT
ejpam-1074	159	80	z))′	z))′	X
ejpam-1074	159	81	pdm	pdm	PROPN
ejpam-1074	159	82	λ	λ	PROPN
ejpam-1074	159	83	,	,	PUNCT
ejpam-1074	159	84	pgυ	pgυ	PROPN
ejpam-1074	159	85	,	,	PUNCT
ejpam-1074	159	86	p	p	X
ejpam-1074	159	87	(	(	PUNCT
ejpam-1074	159	88	f	f	PROPN
ejpam-1074	159	89	)	)	PUNCT
ejpam-1074	159	90	(	(	PUNCT
ejpam-1074	159	91	z	z	NOUN
ejpam-1074	159	92	)	)	PUNCT
ejpam-1074	159	93	−	−	PROPN
ejpam-1074	159	94	γ	γ	X
ejpam-1074	159	95	!	!	PUNCT
ejpam-1074	159	96	�	�	PROPN
ejpam-1074	159	97	�	�	PROPN
ejpam-1074	159	98	�	�	PROPN
ejpam-1074	159	99	�	�	PROPN
ejpam-1074	159	100	�	�	PROPN
ejpam-1074	159	101	<	<	X
ejpam-1074	159	102	π	π	PROPN
ejpam-1074	159	103	2	2	NUM
ejpam-1074	159	104	α	α	NOUN
ejpam-1074	159	105	,	,	PUNCT
ejpam-1074	159	106	0	0	PUNCT
ejpam-1074	159	107	<	<	X
ejpam-1074	159	108	α≤	α≤	PROPN
ejpam-1074	159	109	1	1	NUM
ejpam-1074	159	110	a.	a.	NOUN
ejpam-1074	159	111	mostafa	mostafa	PROPN
ejpam-1074	159	112	and	and	CCONJ
ejpam-1074	159	113	m.	m.	PROPN
ejpam-1074	159	114	aouf	aouf	PROPN
ejpam-1074	159	115	/	/	SYM
ejpam-1074	159	116	eur	eur	PROPN
ejpam-1074	159	117	.	.	PUNCT
ejpam-1074	160	1	j.	j.	PROPN
ejpam-1074	160	2	pure	pure	PROPN
ejpam-1074	160	3	appl	appl	PROPN
ejpam-1074	160	4	.	.	PROPN
ejpam-1074	160	5	math	math	PROPN
ejpam-1074	160	6	,	,	PUNCT
ejpam-1074	160	7	6	6	NUM
ejpam-1074	160	8	(	(	PUNCT
ejpam-1074	160	9	2013	2013	NUM
ejpam-1074	160	10	)	)	PUNCT
ejpam-1074	160	11	,	,	PUNCT
ejpam-1074	160	12	387	387	NUM
ejpam-1074	160	13	-	-	SYM
ejpam-1074	160	14	399	399	NUM
ejpam-1074	160	15	396	396	NUM
ejpam-1074	160	16	where	where	SCONJ
ejpam-1074	160	17	fυ	fυ	NOUN
ejpam-1074	160	18	,	,	PUNCT
ejpam-1074	160	19	p	p	X
ejpam-1074	160	20	(	(	PUNCT
ejpam-1074	160	21	f	f	PROPN
ejpam-1074	160	22	)	)	PUNCT
ejpam-1074	160	23	(	(	PUNCT
ejpam-1074	160	24	z	z	NOUN
ejpam-1074	160	25	)	)	PUNCT
ejpam-1074	160	26	is	be	AUX
ejpam-1074	160	27	the	the	DET
ejpam-1074	160	28	integral	integral	ADJ
ejpam-1074	160	29	operator	operator	NOUN
ejpam-1074	160	30	given	give	VERB
ejpam-1074	160	31	by	by	ADP
ejpam-1074	160	32	(	(	PUNCT
ejpam-1074	160	33	7	7	NUM
ejpam-1074	160	34	)	)	PUNCT
ejpam-1074	160	35	,	,	PUNCT
ejpam-1074	160	36	gυ	gυ	PROPN
ejpam-1074	160	37	,	,	PUNCT
ejpam-1074	160	38	p	p	X
ejpam-1074	160	39	(	(	PUNCT
ejpam-1074	160	40	f	f	PROPN
ejpam-1074	160	41	)	)	PUNCT
ejpam-1074	160	42	(	(	PUNCT
ejpam-1074	160	43	z	z	NOUN
ejpam-1074	160	44	)	)	PUNCT
ejpam-1074	160	45	=	=	SYM
ejpam-1074	161	1	υ	υ	PROPN
ejpam-1074	161	2	zυ+p	zυ+p	PROPN
ejpam-1074	161	3	z	z	NOUN
ejpam-1074	161	4	∫	∫	PROPN
ejpam-1074	161	5	0	0	PUNCT
ejpam-1074	162	1	tυ+p−1	tυ+p−1	NOUN
ejpam-1074	162	2	g(t)d	g(t)d	PROPN
ejpam-1074	162	3	t	t	PROPN
ejpam-1074	162	4	υ	υ	X
ejpam-1074	162	5	>	>	X
ejpam-1074	162	6	0	0	NUM
ejpam-1074	162	7	;	;	PUNCT
ejpam-1074	162	8	(	(	PUNCT
ejpam-1074	162	9	23	23	NUM
ejpam-1074	162	10	)	)	PUNCT
ejpam-1074	162	11	is	be	AUX
ejpam-1074	162	12	the	the	DET
ejpam-1074	162	13	solution	solution	NOUN
ejpam-1074	162	14	of	of	ADP
ejpam-1074	162	15	the	the	DET
ejpam-1074	162	16	equation	equation	NOUN
ejpam-1074	162	17	δ	δ	NOUN
ejpam-1074	162	18	=	=	PUNCT
ejpam-1074	163	1	α+	α+	PUNCT
ejpam-1074	164	1	2	2	NUM
ejpam-1074	164	2	π	π	NOUN
ejpam-1074	164	3	tan−1	tan−1	PROPN
ejpam-1074	164	4			PROPN
ejpam-1074	164	5			NOUN
ejpam-1074	164	6			NOUN
ejpam-1074	164	7	α	α	DET
ejpam-1074	164	8	sin	sin	NOUN
ejpam-1074	164	9	π	π	PROPN
ejpam-1074	164	10	2	2	NUM
ejpam-1074	165	1	[	[	X
ejpam-1074	165	2	1−	1−	NUM
ejpam-1074	165	3	t(a	t(a	NOUN
ejpam-1074	165	4	,	,	PUNCT
ejpam-1074	165	5	b	b	NOUN
ejpam-1074	165	6	,	,	PUNCT
ejpam-1074	165	7	υ	υ	NOUN
ejpam-1074	165	8	)	)	PUNCT
ejpam-1074	165	9	]	]	PUNCT
ejpam-1074	165	10	(	(	PUNCT
ejpam-1074	165	11	υ+p)(1−b)+p(a−b	υ+p)(1−b)+p(a−b	NOUN
ejpam-1074	165	12	)	)	PUNCT
ejpam-1074	166	1	1−b	1−b	NUM
ejpam-1074	167	1	+	+	NOUN
ejpam-1074	167	2	α	α	NOUN
ejpam-1074	167	3	cos	cos	X
ejpam-1074	167	4	π	π	PROPN
ejpam-1074	167	5	2	2	NUM
ejpam-1074	167	6	[	[	X
ejpam-1074	167	7	1−	1−	NUM
ejpam-1074	167	8	t(a	t(a	NOUN
ejpam-1074	167	9	,	,	PUNCT
ejpam-1074	167	10	b	b	NOUN
ejpam-1074	167	11	,	,	PUNCT
ejpam-1074	167	12	υ	υ	NOUN
ejpam-1074	167	13	)	)	PUNCT
ejpam-1074	167	14	]	]	PUNCT
ejpam-1074	168	1			PROPN
ejpam-1074	168	2			NOUN
ejpam-1074	168	3			PUNCT
ejpam-1074	169	1	,	,	PUNCT
ejpam-1074	169	2	(	(	PUNCT
ejpam-1074	169	3	24	24	NUM
ejpam-1074	169	4	)	)	PUNCT
ejpam-1074	169	5	when	when	SCONJ
ejpam-1074	169	6	t(a	t(a	NOUN
ejpam-1074	169	7	,	,	PUNCT
ejpam-1074	169	8	b	b	NOUN
ejpam-1074	169	9	,	,	PUNCT
ejpam-1074	169	10	ν	ν	NOUN
ejpam-1074	169	11	)	)	PUNCT
ejpam-1074	169	12	=	=	SYM
ejpam-1074	169	13	2	2	NUM
ejpam-1074	169	14	π	π	X
ejpam-1074	169	15	sin−1	sin−1	PROPN
ejpam-1074	169	16	�	�	PROPN
ejpam-1074	169	17	p(a−	p(a−	PROPN
ejpam-1074	169	18	b	b	PROPN
ejpam-1074	169	19	)	)	PUNCT
ejpam-1074	169	20	(	(	PUNCT
ejpam-1074	169	21	υ+	υ+	X
ejpam-1074	169	22	p)(1−	p)(1−	PROPN
ejpam-1074	169	23	b2)−	b2)−	PROPN
ejpam-1074	169	24	p(1−	p(1−	PROPN
ejpam-1074	169	25	ab	ab	PROPN
ejpam-1074	169	26	)	)	PUNCT
ejpam-1074	169	27	�	�	PROPN
ejpam-1074	169	28	.	.	PUNCT
ejpam-1074	170	1	(	(	PUNCT
ejpam-1074	170	2	25	25	NUM
ejpam-1074	170	3	)	)	PUNCT
ejpam-1074	170	4	proof	proof	NOUN
ejpam-1074	170	5	.	.	PUNCT
ejpam-1074	171	1	let	let	VERB
ejpam-1074	171	2	q(z	q(z	NUM
ejpam-1074	171	3	)	)	PUNCT
ejpam-1074	171	4	=	=	NOUN
ejpam-1074	171	5	−	−	NOUN
ejpam-1074	171	6	1	1	NUM
ejpam-1074	171	7	p−	p−	NOUN
ejpam-1074	171	8	γ	γ	X
ejpam-1074	171	9	z(dm	z(dm	PROPN
ejpam-1074	171	10	λ	λ	PROPN
ejpam-1074	171	11	,	,	PUNCT
ejpam-1074	171	12	pfυ	pfυ	NOUN
ejpam-1074	171	13	,	,	PUNCT
ejpam-1074	171	14	p	p	X
ejpam-1074	171	15	(	(	PUNCT
ejpam-1074	171	16	f	f	PROPN
ejpam-1074	171	17	)	)	PUNCT
ejpam-1074	171	18	(	(	PUNCT
ejpam-1074	171	19	z))′	z))′	X
ejpam-1074	171	20	pdm	pdm	PROPN
ejpam-1074	171	21	λ	λ	PROPN
ejpam-1074	171	22	,	,	PUNCT
ejpam-1074	171	23	pgυ	pgυ	NOUN
ejpam-1074	171	24	,	,	PUNCT
ejpam-1074	171	25	p(g)(z	p(g)(z	NOUN
ejpam-1074	171	26	)	)	PUNCT
ejpam-1074	171	27	+	+	CCONJ
ejpam-1074	171	28	γ	γ	X
ejpam-1074	171	29	!	!	PUNCT
ejpam-1074	171	30	.	.	PUNCT
ejpam-1074	172	1	since	since	SCONJ
ejpam-1074	172	2	g(z	g(z	ADJ
ejpam-1074	172	3	)	)	PUNCT
ejpam-1074	172	4	∈	∈	PROPN
ejpam-1074	172	5	σ∗p	σ∗p	NOUN
ejpam-1074	172	6	,	,	PUNCT
ejpam-1074	172	7	n[λ	n[λ	X
ejpam-1074	172	8	,	,	PUNCT
ejpam-1074	172	9	m	m	PROPN
ejpam-1074	172	10	,	,	PUNCT
ejpam-1074	172	11	a	a	DET
ejpam-1074	172	12	,	,	PUNCT
ejpam-1074	172	13	b	b	NOUN
ejpam-1074	172	14	]	]	X
ejpam-1074	172	15	,	,	PUNCT
ejpam-1074	172	16	from	from	ADP
ejpam-1074	172	17	theorem	theorem	ADJ
ejpam-1074	172	18	4	4	NUM
ejpam-1074	172	19	,	,	PUNCT
ejpam-1074	172	20	gυ	gυ	ADJ
ejpam-1074	172	21	,	,	PUNCT
ejpam-1074	172	22	p(g)(z	p(g)(z	NOUN
ejpam-1074	172	23	)	)	PUNCT
ejpam-1074	172	24	∈	∈	NOUN
ejpam-1074	172	25	σ∗p	σ∗p	NOUN
ejpam-1074	172	26	,	,	PUNCT
ejpam-1074	172	27	n[λ	n[λ	X
ejpam-1074	172	28	,	,	PUNCT
ejpam-1074	172	29	m	m	PROPN
ejpam-1074	172	30	,	,	PUNCT
ejpam-1074	172	31	a	a	DET
ejpam-1074	172	32	,	,	PUNCT
ejpam-1074	172	33	b	b	NOUN
ejpam-1074	172	34	]	]	PUNCT
ejpam-1074	172	35	.	.	PUNCT
ejpam-1074	173	1	using	use	VERB
ejpam-1074	173	2	the	the	DET
ejpam-1074	173	3	identity	identity	NOUN
ejpam-1074	173	4	(	(	PUNCT
ejpam-1074	173	5	8)	8)	NUM
ejpam-1074	173	6	,	,	PUNCT
ejpam-1074	173	7	we	we	PRON
ejpam-1074	173	8	have	have	VERB
ejpam-1074	173	9	(	(	PUNCT
ejpam-1074	173	10	p−	p−	NOUN
ejpam-1074	173	11	γ)q(z)dm	γ)q(z)dm	NOUN
ejpam-1074	173	12	λ	λ	PROPN
ejpam-1074	173	13	,	,	PUNCT
ejpam-1074	173	14	pgυ	pgυ	NOUN
ejpam-1074	173	15	,	,	PUNCT
ejpam-1074	173	16	p(g)(z)−	p(g)(z)−	X
ejpam-1074	173	17	(	(	PUNCT
ejpam-1074	173	18	υ+	υ+	X
ejpam-1074	174	1	p)dm	p)dm	PROPN
ejpam-1074	174	2	λ	λ	PROPN
ejpam-1074	174	3	,	,	PUNCT
ejpam-1074	174	4	pfυ	pfυ	NOUN
ejpam-1074	174	5	,	,	PUNCT
ejpam-1074	174	6	p	p	X
ejpam-1074	174	7	(	(	PUNCT
ejpam-1074	174	8	f	f	PROPN
ejpam-1074	174	9	)	)	PUNCT
ejpam-1074	174	10	(	(	PUNCT
ejpam-1074	174	11	z	z	X
ejpam-1074	174	12	)	)	PUNCT
ejpam-1074	174	13	=	=	NOUN
ejpam-1074	174	14	−υdm	−υdm	NOUN
ejpam-1074	174	15	λ	λ	NOUN
ejpam-1074	174	16	,	,	PUNCT
ejpam-1074	174	17	p	p	PROPN
ejpam-1074	174	18	f	f	X
ejpam-1074	174	19	(	(	PUNCT
ejpam-1074	174	20	z)−	z)−	PROPN
ejpam-1074	174	21	γdm	γdm	PROPN
ejpam-1074	174	22	λ	λ	PROPN
ejpam-1074	174	23	,	,	PUNCT
ejpam-1074	174	24	pgυ	pgυ	NOUN
ejpam-1074	174	25	,	,	PUNCT
ejpam-1074	174	26	p(g)(z	p(g)(z	NOUN
ejpam-1074	174	27	)	)	PUNCT
ejpam-1074	174	28	.	.	PUNCT
ejpam-1074	175	1	then	then	ADV
ejpam-1074	175	2	,	,	PUNCT
ejpam-1074	175	3	by	by	ADP
ejpam-1074	175	4	a	a	DET
ejpam-1074	175	5	simple	simple	ADJ
ejpam-1074	175	6	calculation	calculation	NOUN
ejpam-1074	175	7	,	,	PUNCT
ejpam-1074	175	8	we	we	PRON
ejpam-1074	175	9	have	have	VERB
ejpam-1074	175	10	(	(	PUNCT
ejpam-1074	175	11	p−	p−	NOUN
ejpam-1074	175	12	γ){zq′(z	γ){zq′(z	NOUN
ejpam-1074	175	13	)	)	PUNCT
ejpam-1074	176	1	+	+	CCONJ
ejpam-1074	176	2	q(z)[−r(z	q(z)[−r(z	PROPN
ejpam-1074	176	3	)	)	PUNCT
ejpam-1074	177	1	+	+	ADP
ejpam-1074	177	2	υ+	υ+	X
ejpam-1074	177	3	p]}+	p]}+	PROPN
ejpam-1074	177	4	γ[−r(z	γ[−r(z	PROPN
ejpam-1074	177	5	)	)	PUNCT
ejpam-1074	178	1	+	+	NOUN
ejpam-1074	178	2	υ+	υ+	X
ejpam-1074	178	3	p	p	X
ejpam-1074	178	4	]	]	X
ejpam-1074	178	5	=	=	VERB
ejpam-1074	178	6	−υ	−υ	ADJ
ejpam-1074	178	7	υz(dm	υz(dm	PROPN
ejpam-1074	178	8	λ	λ	PROPN
ejpam-1074	178	9	,	,	PUNCT
ejpam-1074	178	10	p	p	PROPN
ejpam-1074	178	11	f	f	X
ejpam-1074	178	12	(	(	PUNCT
ejpam-1074	178	13	z))′	z))′	PROPN
ejpam-1074	178	14	dm	dm	PROPN
ejpam-1074	178	15	λ	λ	PROPN
ejpam-1074	178	16	,	,	PUNCT
ejpam-1074	178	17	pgυ	pgυ	NOUN
ejpam-1074	178	18	,	,	PUNCT
ejpam-1074	178	19	p(g)(z	p(g)(z	NOUN
ejpam-1074	178	20	)	)	PUNCT
ejpam-1074	178	21	where	where	SCONJ
ejpam-1074	178	22	r(z	r(z	NOUN
ejpam-1074	178	23	)	)	PUNCT
ejpam-1074	178	24	=	=	PUNCT
ejpam-1074	178	25	z(dm	z(dm	PROPN
ejpam-1074	178	26	λ	λ	PROPN
ejpam-1074	178	27	,	,	PUNCT
ejpam-1074	178	28	pfυ	pfυ	NOUN
ejpam-1074	178	29	,	,	PUNCT
ejpam-1074	178	30	p	p	X
ejpam-1074	178	31	(	(	PUNCT
ejpam-1074	178	32	f	f	PROPN
ejpam-1074	178	33	)	)	PUNCT
ejpam-1074	178	34	(	(	PUNCT
ejpam-1074	178	35	z))′	z))′	PROPN
ejpam-1074	178	36	dm	dm	PROPN
ejpam-1074	178	37	λ	λ	PROPN
ejpam-1074	178	38	,	,	PUNCT
ejpam-1074	178	39	pgυ	pgυ	NOUN
ejpam-1074	178	40	,	,	PUNCT
ejpam-1074	178	41	p(g)(z	p(g)(z	NOUN
ejpam-1074	178	42	)	)	PUNCT
ejpam-1074	178	43	.	.	PUNCT
ejpam-1074	179	1	hence	hence	ADV
ejpam-1074	179	2	,	,	PUNCT
ejpam-1074	179	3	we	we	PRON
ejpam-1074	179	4	have	have	VERB
ejpam-1074	179	5	q(z	q(z	PROPN
ejpam-1074	179	6	)	)	PUNCT
ejpam-1074	179	7	+	+	NUM
ejpam-1074	179	8	zq′(z	zq′(z	PROPN
ejpam-1074	179	9	)	)	PUNCT
ejpam-1074	179	10	−r(z	−r(z	NOUN
ejpam-1074	179	11	)	)	PUNCT
ejpam-1074	180	1	+	+	NOUN
ejpam-1074	180	2	υ+	υ+	X
ejpam-1074	180	3	p	p	X
ejpam-1074	180	4	=	=	NOUN
ejpam-1074	180	5	−	−	PROPN
ejpam-1074	180	6	1	1	NUM
ejpam-1074	180	7	p−	p−	NOUN
ejpam-1074	180	8	γ	γ	X
ejpam-1074	180	9	z(dm	z(dm	PROPN
ejpam-1074	180	10	λ	λ	PROPN
ejpam-1074	180	11	,	,	PUNCT
ejpam-1074	180	12	p	p	PROPN
ejpam-1074	180	13	f	f	X
ejpam-1074	180	14	(	(	PUNCT
ejpam-1074	180	15	z))′	z))′	PROPN
ejpam-1074	180	16	dm	dm	PROPN
ejpam-1074	180	17	λ	λ	PROPN
ejpam-1074	180	18	,	,	PUNCT
ejpam-1074	180	19	p	p	NOUN
ejpam-1074	180	20	g(z	g(z	NOUN
ejpam-1074	180	21	)	)	PUNCT
ejpam-1074	180	22	+	+	CCONJ
ejpam-1074	180	23	γ	γ	X
ejpam-1074	180	24	!	!	PUNCT
ejpam-1074	180	25	.	.	PUNCT
ejpam-1074	181	1	(	(	PUNCT
ejpam-1074	181	2	26	26	NUM
ejpam-1074	181	3	)	)	PUNCT
ejpam-1074	181	4	the	the	DET
ejpam-1074	181	5	remaining	remain	VERB
ejpam-1074	181	6	part	part	NOUN
ejpam-1074	181	7	of	of	ADP
ejpam-1074	181	8	the	the	DET
ejpam-1074	181	9	proof	proof	NOUN
ejpam-1074	181	10	is	be	AUX
ejpam-1074	181	11	similar	similar	ADJ
ejpam-1074	181	12	to	to	ADP
ejpam-1074	181	13	that	that	PRON
ejpam-1074	181	14	of	of	ADP
ejpam-1074	181	15	theorem	theorem	ADJ
ejpam-1074	181	16	2	2	NUM
ejpam-1074	181	17	and	and	CCONJ
ejpam-1074	181	18	so	so	ADV
ejpam-1074	181	19	,	,	PUNCT
ejpam-1074	181	20	we	we	PRON
ejpam-1074	181	21	omit	omit	VERB
ejpam-1074	181	22	it	it	PRON
ejpam-1074	181	23	.	.	PUNCT
ejpam-1074	182	1	taking	take	VERB
ejpam-1074	182	2	m=	m=	X
ejpam-1074	182	3	0	0	NUM
ejpam-1074	182	4	in	in	ADP
ejpam-1074	182	5	theorem	theorem	NOUN
ejpam-1074	182	6	5	5	NUM
ejpam-1074	182	7	,	,	PUNCT
ejpam-1074	182	8	we	we	PRON
ejpam-1074	182	9	obtain	obtain	VERB
ejpam-1074	182	10	the	the	DET
ejpam-1074	182	11	result	result	NOUN
ejpam-1074	182	12	obtained	obtain	VERB
ejpam-1074	182	13	by	by	ADP
ejpam-1074	182	14	lashin	lashin	NOUN
ejpam-1074	182	15	[	[	X
ejpam-1074	182	16	6	6	NUM
ejpam-1074	182	17	,	,	PUNCT
ejpam-1074	182	18	corollary	corollary	ADJ
ejpam-1074	182	19	2.3	2.3	NUM
ejpam-1074	182	20	]	]	PUNCT
ejpam-1074	182	21	.	.	PUNCT
ejpam-1074	183	1	taking	take	VERB
ejpam-1074	183	2	m=	m=	X
ejpam-1074	183	3	0	0	NUM
ejpam-1074	183	4	,	,	PUNCT
ejpam-1074	183	5	a=	a=	PROPN
ejpam-1074	183	6	1	1	NUM
ejpam-1074	183	7	,	,	PUNCT
ejpam-1074	183	8	b	b	X
ejpam-1074	183	9	=	=	SYM
ejpam-1074	183	10	0	0	NUM
ejpam-1074	183	11	and	and	CCONJ
ejpam-1074	183	12	δ	δ	PROPN
ejpam-1074	183	13	=	=	NOUN
ejpam-1074	183	14	1	1	NUM
ejpam-1074	183	15	in	in	ADP
ejpam-1074	183	16	theorem	theorem	NOUN
ejpam-1074	183	17	5	5	NUM
ejpam-1074	183	18	,	,	PUNCT
ejpam-1074	183	19	we	we	PRON
ejpam-1074	183	20	obtain	obtain	VERB
ejpam-1074	183	21	the	the	DET
ejpam-1074	183	22	following	follow	VERB
ejpam-1074	183	23	result	result	NOUN
ejpam-1074	183	24	.	.	PUNCT
ejpam-1074	184	1	a.	a.	PROPN
ejpam-1074	184	2	mostafa	mostafa	PROPN
ejpam-1074	184	3	and	and	CCONJ
ejpam-1074	184	4	m.	m.	PROPN
ejpam-1074	184	5	aouf	aouf	PROPN
ejpam-1074	184	6	/	/	SYM
ejpam-1074	184	7	eur	eur	PROPN
ejpam-1074	184	8	.	.	PUNCT
ejpam-1074	185	1	j.	j.	PROPN
ejpam-1074	185	2	pure	pure	PROPN
ejpam-1074	185	3	appl	appl	PROPN
ejpam-1074	185	4	.	.	PROPN
ejpam-1074	185	5	math	math	PROPN
ejpam-1074	185	6	,	,	PUNCT
ejpam-1074	185	7	6	6	NUM
ejpam-1074	185	8	(	(	PUNCT
ejpam-1074	185	9	2013	2013	NUM
ejpam-1074	185	10	)	)	PUNCT
ejpam-1074	185	11	,	,	PUNCT
ejpam-1074	185	12	387	387	NUM
ejpam-1074	185	13	-	-	SYM
ejpam-1074	185	14	399	399	NUM
ejpam-1074	185	15	397	397	NUM
ejpam-1074	185	16	corollary	corollary	ADJ
ejpam-1074	185	17	4	4	NUM
ejpam-1074	185	18	.	.	PUNCT
ejpam-1074	186	1	let	let	VERB
ejpam-1074	186	2	υ	υ	PRON
ejpam-1074	186	3	>	>	X
ejpam-1074	186	4	0	0	PUNCT
ejpam-1074	187	1	and	and	CCONJ
ejpam-1074	187	2	f	f	PROPN
ejpam-1074	187	3	(	(	PUNCT
ejpam-1074	187	4	z	z	NOUN
ejpam-1074	187	5	)	)	PUNCT
ejpam-1074	187	6	∈	∈	PROPN
ejpam-1074	187	7	σp	σp	PROPN
ejpam-1074	187	8	,	,	PUNCT
ejpam-1074	187	9	n.	n.	NOUN
ejpam-1074	187	10	if	if	SCONJ
ejpam-1074	187	11	−ℜ	−ℜ	PROPN
ejpam-1074	187	12	¨	¨	NOUN
ejpam-1074	187	13	z	z	NOUN
ejpam-1074	187	14	f	f	PROPN
ejpam-1074	187	15	′(z	′(z	NOUN
ejpam-1074	187	16	)	)	PUNCT
ejpam-1074	187	17	g(z	g(z	PROPN
ejpam-1074	187	18	)	)	PUNCT
ejpam-1074	187	19	«	«	PUNCT
ejpam-1074	187	20	>	>	X
ejpam-1074	187	21	γ	γ	X
ejpam-1074	187	22	0≤	0≤	NUM
ejpam-1074	187	23	γ	γ	X
ejpam-1074	187	24	<	<	X
ejpam-1074	187	25	p	p	NOUN
ejpam-1074	187	26	for	for	ADP
ejpam-1074	187	27	some	some	DET
ejpam-1074	187	28	g(z	g(z	PROPN
ejpam-1074	187	29	)	)	PUNCT
ejpam-1074	187	30	∈	∈	PROPN
ejpam-1074	187	31	σp	σp	PROPN
ejpam-1074	187	32	,	,	PUNCT
ejpam-1074	187	33	n	n	CCONJ
ejpam-1074	187	34	satisfying	satisfy	VERB
ejpam-1074	187	35	the	the	DET
ejpam-1074	187	36	condition	condition	NOUN
ejpam-1074	187	37	�	�	PROPN
ejpam-1074	187	38	�	�	PROPN
ejpam-1074	187	39	�	�	PROPN
ejpam-1074	187	40	�	�	PROPN
ejpam-1074	187	41	zg	zg	PROPN
ejpam-1074	187	42	′(z	′(z	NOUN
ejpam-1074	187	43	)	)	PUNCT
ejpam-1074	187	44	g(z	g(z	ADJ
ejpam-1074	187	45	)	)	PUNCT
ejpam-1074	188	1	+	+	CCONJ
ejpam-1074	189	1	p	p	PROPN
ejpam-1074	189	2	�	�	PROPN
ejpam-1074	189	3	�	�	PROPN
ejpam-1074	189	4	�	�	PROPN
ejpam-1074	189	5	�	�	PROPN
ejpam-1074	189	6	<	<	X
ejpam-1074	189	7	p	p	X
ejpam-1074	189	8	then	then	ADV
ejpam-1074	189	9	−ℜ	−ℜ	PROPN
ejpam-1074	189	10	(	(	PUNCT
ejpam-1074	189	11	zf	zf	PROPN
ejpam-1074	189	12	′υ	′υ	PROPN
ejpam-1074	189	13	,	,	PUNCT
ejpam-1074	189	14	p	p	X
ejpam-1074	189	15	(	(	PUNCT
ejpam-1074	189	16	f	f	PROPN
ejpam-1074	189	17	)	)	PUNCT
ejpam-1074	189	18	(	(	PUNCT
ejpam-1074	189	19	z	z	X
ejpam-1074	189	20	)	)	PUNCT
ejpam-1074	189	21	gυ	gυ	PROPN
ejpam-1074	189	22	,	,	PUNCT
ejpam-1074	189	23	p(g)(z	p(g)(z	NOUN
ejpam-1074	189	24	)	)	PUNCT
ejpam-1074	189	25	)	)	PUNCT
ejpam-1074	190	1	>	>	X
ejpam-1074	190	2	γ	γ	X
ejpam-1074	190	3	0≤	0≤	NUM
ejpam-1074	190	4	γ	γ	X
ejpam-1074	190	5	<	<	X
ejpam-1074	190	6	p.	p.	NOUN
ejpam-1074	190	7	where	where	SCONJ
ejpam-1074	190	8	fυ	fυ	AUX
ejpam-1074	190	9	,	,	PUNCT
ejpam-1074	190	10	p	p	X
ejpam-1074	190	11	(	(	PUNCT
ejpam-1074	190	12	f	f	PROPN
ejpam-1074	190	13	)	)	PUNCT
ejpam-1074	190	14	(	(	PUNCT
ejpam-1074	190	15	z	z	NOUN
ejpam-1074	190	16	)	)	PUNCT
ejpam-1074	190	17	and	and	CCONJ
ejpam-1074	190	18	gυ	gυ	ADJ
ejpam-1074	190	19	,	,	PUNCT
ejpam-1074	190	20	p(g)(z	p(g)(z	NOUN
ejpam-1074	190	21	)	)	PUNCT
ejpam-1074	190	22	are	be	AUX
ejpam-1074	190	23	given	give	VERB
ejpam-1074	190	24	by	by	ADP
ejpam-1074	190	25	(	(	PUNCT
ejpam-1074	190	26	7	7	NUM
ejpam-1074	190	27	)	)	PUNCT
ejpam-1074	190	28	and	and	CCONJ
ejpam-1074	190	29	(	(	PUNCT
ejpam-1074	190	30	23	23	NUM
ejpam-1074	190	31	)	)	PUNCT
ejpam-1074	190	32	,	,	PUNCT
ejpam-1074	190	33	respectively	respectively	ADV
ejpam-1074	190	34	.	.	PUNCT
ejpam-1074	191	1	taking	take	VERB
ejpam-1074	191	2	m=	m=	X
ejpam-1074	191	3	0	0	NUM
ejpam-1074	192	1	b→	b→	ADV
ejpam-1074	192	2	a	a	DET
ejpam-1074	192	3	and	and	CCONJ
ejpam-1074	192	4	g(z	g(z	ADJ
ejpam-1074	192	5	)	)	PUNCT
ejpam-1074	192	6	=	=	SYM
ejpam-1074	192	7	1	1	NUM
ejpam-1074	192	8	zp	zp	PROPN
ejpam-1074	192	9	in	in	ADP
ejpam-1074	192	10	theorem	theorem	NOUN
ejpam-1074	192	11	5	5	NUM
ejpam-1074	192	12	,	,	PUNCT
ejpam-1074	192	13	we	we	PRON
ejpam-1074	192	14	have	have	VERB
ejpam-1074	192	15	the	the	DET
ejpam-1074	192	16	following	follow	VERB
ejpam-1074	192	17	corollary	corollary	NOUN
ejpam-1074	192	18	.	.	PUNCT
ejpam-1074	193	1	corollary	corollary	ADJ
ejpam-1074	193	2	5	5	NUM
ejpam-1074	193	3	.	.	PUNCT
ejpam-1074	194	1	let	let	VERB
ejpam-1074	194	2	υ	υ	PRON
ejpam-1074	194	3	>	>	X
ejpam-1074	194	4	0	0	PUNCT
ejpam-1074	195	1	and	and	CCONJ
ejpam-1074	195	2	f	f	PROPN
ejpam-1074	195	3	(	(	PUNCT
ejpam-1074	195	4	z	z	NOUN
ejpam-1074	195	5	)	)	PUNCT
ejpam-1074	195	6	∈	∈	PROPN
ejpam-1074	195	7	σp	σp	PROPN
ejpam-1074	195	8	,	,	PUNCT
ejpam-1074	195	9	n.	n.	NOUN
ejpam-1074	195	10	if	if	SCONJ
ejpam-1074	195	11	|arg(−zp+1	|arg(−zp+1	NOUN
ejpam-1074	195	12	f	f	X
ejpam-1074	196	1	′(z)−	′(z)−	PROPN
ejpam-1074	196	2	γ)|	γ)|	NOUN
ejpam-1074	196	3	<	<	X
ejpam-1074	196	4	π	π	PROPN
ejpam-1074	196	5	2	2	NUM
ejpam-1074	196	6	δ	δ	PROPN
ejpam-1074	196	7	,	,	PUNCT
ejpam-1074	196	8	0≤	0≤	PUNCT
ejpam-1074	196	9	γ	γ	X
ejpam-1074	196	10	<	<	X
ejpam-1074	196	11	p	p	X
ejpam-1074	196	12	;	;	PUNCT
ejpam-1074	196	13	0	0	NUM
ejpam-1074	196	14	<	<	X
ejpam-1074	196	15	δ	δ	PROPN
ejpam-1074	196	16	≤	≤	ADV
ejpam-1074	196	17	1	1	NUM
ejpam-1074	196	18	,	,	PUNCT
ejpam-1074	196	19	then	then	ADV
ejpam-1074	196	20	|arg(−zp+1f	|arg(−zp+1f	ADP
ejpam-1074	196	21	′υ	′υ	NOUN
ejpam-1074	196	22	,	,	PUNCT
ejpam-1074	196	23	p	p	X
ejpam-1074	196	24	(	(	PUNCT
ejpam-1074	196	25	f	f	PROPN
ejpam-1074	196	26	)	)	PUNCT
ejpam-1074	196	27	(	(	PUNCT
ejpam-1074	196	28	z)−	z)−	PROPN
ejpam-1074	196	29	γ)|	γ)|	NOUN
ejpam-1074	196	30	<	<	X
ejpam-1074	196	31	π	π	PROPN
ejpam-1074	196	32	2	2	NUM
ejpam-1074	196	33	α	α	NOUN
ejpam-1074	196	34	,	,	PUNCT
ejpam-1074	196	35	where	where	SCONJ
ejpam-1074	196	36	fυ	fυ	NOUN
ejpam-1074	196	37	,	,	PUNCT
ejpam-1074	196	38	p	p	X
ejpam-1074	196	39	(	(	PUNCT
ejpam-1074	196	40	f	f	PROPN
ejpam-1074	196	41	)	)	PUNCT
ejpam-1074	196	42	(	(	PUNCT
ejpam-1074	196	43	z	z	NOUN
ejpam-1074	196	44	)	)	PUNCT
ejpam-1074	196	45	is	be	AUX
ejpam-1074	196	46	given	give	VERB
ejpam-1074	196	47	by	by	ADP
ejpam-1074	196	48	(	(	PUNCT
ejpam-1074	196	49	7	7	NUM
ejpam-1074	196	50	)	)	PUNCT
ejpam-1074	196	51	and	and	CCONJ
ejpam-1074	196	52	0	0	NUM
ejpam-1074	196	53	<	<	X
ejpam-1074	196	54	α≤	α≤	PROPN
ejpam-1074	196	55	1	1	NUM
ejpam-1074	196	56	is	be	AUX
ejpam-1074	196	57	the	the	DET
ejpam-1074	196	58	solution	solution	NOUN
ejpam-1074	196	59	of	of	ADP
ejpam-1074	196	60	the	the	DET
ejpam-1074	196	61	equation	equation	NOUN
ejpam-1074	196	62	δ	δ	NOUN
ejpam-1074	196	63	=	=	PUNCT
ejpam-1074	196	64	α+	α+	PUNCT
ejpam-1074	196	65	2	2	NUM
ejpam-1074	196	66	π	π	PROPN
ejpam-1074	196	67	tan−1	tan−1	PROPN
ejpam-1074	196	68	�	�	PROPN
ejpam-1074	196	69	α	α	PROPN
ejpam-1074	196	70	υ+	υ+	X
ejpam-1074	196	71	p	p	PROPN
ejpam-1074	196	72	�	�	PROPN
ejpam-1074	196	73	.	.	PUNCT
ejpam-1074	197	1	by	by	ADP
ejpam-1074	197	2	using	use	VERB
ejpam-1074	197	3	the	the	DET
ejpam-1074	197	4	same	same	ADJ
ejpam-1074	197	5	argument	argument	NOUN
ejpam-1074	197	6	used	use	VERB
ejpam-1074	197	7	in	in	ADP
ejpam-1074	197	8	proving	prove	VERB
ejpam-1074	197	9	theorem	theorem	ADJ
ejpam-1074	197	10	5	5	NUM
ejpam-1074	197	11	,	,	PUNCT
ejpam-1074	197	12	we	we	PRON
ejpam-1074	197	13	have	have	AUX
ejpam-1074	197	14	theorem	theorem	VERB
ejpam-1074	197	15	6	6	NUM
ejpam-1074	197	16	.	.	PUNCT
ejpam-1074	198	1	let	let	VERB
ejpam-1074	198	2	f	f	PROPN
ejpam-1074	198	3	(	(	PUNCT
ejpam-1074	198	4	z	z	NOUN
ejpam-1074	198	5	)	)	PUNCT
ejpam-1074	198	6	∈	∈	PROPN
ejpam-1074	198	7	σp	σp	PROPN
ejpam-1074	198	8	,	,	PUNCT
ejpam-1074	198	9	n	n	PROPN
ejpam-1074	198	10	and	and	CCONJ
ejpam-1074	198	11	choose	choose	VERB
ejpam-1074	198	12	a	a	DET
ejpam-1074	198	13	positive	positive	ADJ
ejpam-1074	198	14	number	number	NOUN
ejpam-1074	198	15	υ	υ	ADP
ejpam-1074	198	16	such	such	ADJ
ejpam-1074	198	17	that	that	SCONJ
ejpam-1074	198	18	υ≥	υ≥	PROPN
ejpam-1074	198	19	1+a	1+a	NUM
ejpam-1074	198	20	1+b	1+b	NUM
ejpam-1074	198	21	−	−	NOUN
ejpam-1074	199	1	p	p	X
ejpam-1074	199	2	,	,	PUNCT
ejpam-1074	199	3	where	where	SCONJ
ejpam-1074	199	4	−1	−1	NOUN
ejpam-1074	199	5	<	<	X
ejpam-1074	199	6	b	b	X
ejpam-1074	199	7	<	<	X
ejpam-1074	199	8	a≤	a≤	DET
ejpam-1074	199	9	1	1	NUM
ejpam-1074	199	10	.	.	PUNCT
ejpam-1074	200	1	if	if	SCONJ
ejpam-1074	200	2	�	�	PROPN
ejpam-1074	200	3	�	�	PROPN
ejpam-1074	200	4	�	�	PROPN
ejpam-1074	200	5	�	�	PROPN
ejpam-1074	200	6	�	�	PROPN
ejpam-1074	200	7	arg	arg	NOUN
ejpam-1074	200	8	(	(	PUNCT
ejpam-1074	200	9	z(dm	z(dm	PROPN
ejpam-1074	200	10	λ	λ	PROPN
ejpam-1074	200	11	,	,	PUNCT
ejpam-1074	200	12	p	p	PROPN
ejpam-1074	200	13	f	f	X
ejpam-1074	200	14	(	(	PUNCT
ejpam-1074	200	15	z))′	z))′	PROPN
ejpam-1074	200	16	dm	dm	PROPN
ejpam-1074	200	17	λ	λ	PROPN
ejpam-1074	200	18	,	,	PUNCT
ejpam-1074	200	19	p	p	NOUN
ejpam-1074	200	20	g(z	g(z	PROPN
ejpam-1074	200	21	)	)	PUNCT
ejpam-1074	200	22	+	+	CCONJ
ejpam-1074	200	23	γ	γ	X
ejpam-1074	200	24	)	)	PUNCT
ejpam-1074	200	25	�	�	PROPN
ejpam-1074	200	26	�	�	PROPN
ejpam-1074	200	27	�	�	PROPN
ejpam-1074	200	28	�	�	PROPN
ejpam-1074	200	29	�	�	PROPN
ejpam-1074	200	30	<	<	X
ejpam-1074	200	31	π	π	PROPN
ejpam-1074	200	32	2	2	NUM
ejpam-1074	200	33	δ	δ	PROPN
ejpam-1074	200	34	,	,	PUNCT
ejpam-1074	200	35	γ	γ	X
ejpam-1074	200	36	>	>	X
ejpam-1074	200	37	p	p	X
ejpam-1074	200	38	;	;	PUNCT
ejpam-1074	200	39	0	0	NUM
ejpam-1074	200	40	<	<	X
ejpam-1074	200	41	δ	δ	PROPN
ejpam-1074	200	42	≤	≤	ADV
ejpam-1074	200	43	1	1	NUM
ejpam-1074	200	44	,	,	PUNCT
ejpam-1074	200	45	for	for	ADP
ejpam-1074	200	46	some	some	DET
ejpam-1074	200	47	g(z	g(z	PROPN
ejpam-1074	200	48	)	)	PUNCT
ejpam-1074	200	49	∈	∈	PROPN
ejpam-1074	200	50	σ∗p	σ∗p	NOUN
ejpam-1074	200	51	,	,	PUNCT
ejpam-1074	200	52	n[λ	n[λ	X
ejpam-1074	200	53	,	,	PUNCT
ejpam-1074	200	54	m	m	PRON
ejpam-1074	200	55	;	;	PUNCT
ejpam-1074	200	56	a	a	DET
ejpam-1074	200	57	,	,	PUNCT
ejpam-1074	200	58	b	b	NOUN
ejpam-1074	200	59	]	]	X
ejpam-1074	200	60	then	then	ADV
ejpam-1074	200	61	�	�	PROPN
ejpam-1074	200	62	�	�	PROPN
ejpam-1074	200	63	�	�	PROPN
ejpam-1074	200	64	�	�	PROPN
ejpam-1074	200	65	�	�	PROPN
ejpam-1074	200	66	arg	arg	VERB
ejpam-1074	200	67	z(dm	z(dm	PROPN
ejpam-1074	200	68	λ	λ	PROPN
ejpam-1074	200	69	,	,	PUNCT
ejpam-1074	200	70	pfυ	pfυ	NOUN
ejpam-1074	200	71	,	,	PUNCT
ejpam-1074	200	72	p	p	X
ejpam-1074	200	73	(	(	PUNCT
ejpam-1074	200	74	f	f	PROPN
ejpam-1074	200	75	)	)	PUNCT
ejpam-1074	200	76	(	(	PUNCT
ejpam-1074	200	77	z))′	z))′	PROPN
ejpam-1074	200	78	dm	dm	PROPN
ejpam-1074	200	79	λ	λ	PROPN
ejpam-1074	200	80	,	,	PUNCT
ejpam-1074	200	81	pgυ	pgυ	NOUN
ejpam-1074	200	82	,	,	PUNCT
ejpam-1074	200	83	p(g)(z	p(g)(z	NOUN
ejpam-1074	200	84	)	)	PUNCT
ejpam-1074	200	85	+	+	CCONJ
ejpam-1074	200	86	γ	γ	X
ejpam-1074	200	87	!	!	PUNCT
ejpam-1074	200	88	�	�	PROPN
ejpam-1074	200	89	�	�	PROPN
ejpam-1074	200	90	�	�	PROPN
ejpam-1074	200	91	�	�	PROPN
ejpam-1074	200	92	�	�	PROPN
ejpam-1074	200	93	<	<	X
ejpam-1074	200	94	π	π	PROPN
ejpam-1074	200	95	2	2	NUM
ejpam-1074	200	96	α	α	NOUN
ejpam-1074	200	97	,	,	PUNCT
ejpam-1074	200	98	0	0	PUNCT
ejpam-1074	200	99	<	<	X
ejpam-1074	200	100	α≤	α≤	PROPN
ejpam-1074	200	101	1	1	NUM
ejpam-1074	200	102	where	where	SCONJ
ejpam-1074	200	103	fυ	fυ	AUX
ejpam-1074	200	104	,	,	PUNCT
ejpam-1074	200	105	p	p	X
ejpam-1074	200	106	(	(	PUNCT
ejpam-1074	200	107	f	f	PROPN
ejpam-1074	200	108	)	)	PUNCT
ejpam-1074	200	109	(	(	PUNCT
ejpam-1074	200	110	z	z	NOUN
ejpam-1074	200	111	)	)	PUNCT
ejpam-1074	200	112	and	and	CCONJ
ejpam-1074	200	113	gυ	gυ	ADJ
ejpam-1074	200	114	,	,	PUNCT
ejpam-1074	200	115	p(g)(z	p(g)(z	NOUN
ejpam-1074	200	116	)	)	PUNCT
ejpam-1074	200	117	are	be	AUX
ejpam-1074	200	118	given	give	VERB
ejpam-1074	200	119	(	(	PUNCT
ejpam-1074	200	120	7	7	NUM
ejpam-1074	200	121	)	)	PUNCT
ejpam-1074	200	122	and	and	CCONJ
ejpam-1074	200	123	(	(	PUNCT
ejpam-1074	200	124	23	23	NUM
ejpam-1074	200	125	)	)	PUNCT
ejpam-1074	200	126	,	,	PUNCT
ejpam-1074	200	127	respectively	respectively	ADV
ejpam-1074	200	128	,	,	PUNCT
ejpam-1074	200	129	and	and	CCONJ
ejpam-1074	200	130	α(0	α(0	NOUN
ejpam-1074	200	131	<	<	X
ejpam-1074	200	132	α	α	PROPN
ejpam-1074	200	133	≤	≤	NUM
ejpam-1074	200	134	1	1	NUM
ejpam-1074	200	135	)	)	PUNCT
ejpam-1074	200	136	is	be	AUX
ejpam-1074	200	137	the	the	DET
ejpam-1074	200	138	solution	solution	NOUN
ejpam-1074	200	139	of	of	ADP
ejpam-1074	200	140	the	the	DET
ejpam-1074	200	141	equation	equation	NOUN
ejpam-1074	200	142	(	(	PUNCT
ejpam-1074	200	143	24	24	NUM
ejpam-1074	200	144	)	)	PUNCT
ejpam-1074	200	145	.	.	PUNCT
ejpam-1074	201	1	references	reference	NOUN
ejpam-1074	201	2	398	398	NUM
ejpam-1074	201	3	finally	finally	ADV
ejpam-1074	201	4	,	,	PUNCT
ejpam-1074	201	5	we	we	PRON
ejpam-1074	201	6	derive	derive	VERB
ejpam-1074	201	7	theorem	theorem	VERB
ejpam-1074	201	8	7	7	NUM
ejpam-1074	201	9	.	.	PUNCT
ejpam-1074	202	1	let	let	VERB
ejpam-1074	202	2	f	f	PROPN
ejpam-1074	202	3	(	(	PUNCT
ejpam-1074	202	4	z	z	NOUN
ejpam-1074	202	5	)	)	PUNCT
ejpam-1074	202	6	∈	∈	PROPN
ejpam-1074	202	7	σp	σp	PROPN
ejpam-1074	202	8	,	,	PUNCT
ejpam-1074	202	9	n	n	PROPN
ejpam-1074	202	10	and	and	CCONJ
ejpam-1074	202	11	choose	choose	VERB
ejpam-1074	202	12	λ	λ	NOUN
ejpam-1074	202	13	such	such	ADJ
ejpam-1074	202	14	that	that	SCONJ
ejpam-1074	202	15	1	1	NUM
ejpam-1074	202	16	λ	λ	PROPN
ejpam-1074	202	17	≥	≥	NOUN
ejpam-1074	202	18	p(a−b	p(a−b	PROPN
ejpam-1074	202	19	)	)	PUNCT
ejpam-1074	202	20	1+b	1+b	NUM
ejpam-1074	202	21	,	,	PUNCT
ejpam-1074	202	22	where	where	SCONJ
ejpam-1074	202	23	−1	−1	NOUN
ejpam-1074	202	24	<	<	X
ejpam-1074	202	25	b	b	X
ejpam-1074	202	26	<	<	X
ejpam-1074	202	27	a≤	a≤	DET
ejpam-1074	202	28	1	1	NUM
ejpam-1074	202	29	.	.	PUNCT
ejpam-1074	203	1	if	if	SCONJ
ejpam-1074	203	2	�	�	PROPN
ejpam-1074	203	3	�	�	PROPN
ejpam-1074	203	4	�	�	PROPN
ejpam-1074	203	5	�	�	PROPN
ejpam-1074	203	6	�	�	PROPN
ejpam-1074	203	7	arg	arg	NOUN
ejpam-1074	203	8	(	(	PUNCT
ejpam-1074	203	9	−	−	PROPN
ejpam-1074	203	10	z(dm	z(dm	PROPN
ejpam-1074	203	11	λ	λ	PROPN
ejpam-1074	203	12	,	,	PUNCT
ejpam-1074	203	13	p	p	PROPN
ejpam-1074	203	14	f	f	X
ejpam-1074	203	15	(	(	PUNCT
ejpam-1074	203	16	z))′	z))′	PROPN
ejpam-1074	203	17	dm	dm	PROPN
ejpam-1074	203	18	λ	λ	PROPN
ejpam-1074	203	19	,	,	PUNCT
ejpam-1074	203	20	p	p	NOUN
ejpam-1074	203	21	g(z	g(z	PROPN
ejpam-1074	203	22	)	)	PUNCT
ejpam-1074	203	23	−	−	PROPN
ejpam-1074	203	24	γ	γ	PROPN
ejpam-1074	203	25	)	)	PUNCT
ejpam-1074	203	26	�	�	PROPN
ejpam-1074	203	27	�	�	PROPN
ejpam-1074	203	28	�	�	PROPN
ejpam-1074	203	29	�	�	PROPN
ejpam-1074	203	30	�	�	PROPN
ejpam-1074	203	31	<	<	X
ejpam-1074	203	32	π	π	PROPN
ejpam-1074	203	33	2	2	NUM
ejpam-1074	203	34	δ	δ	PROPN
ejpam-1074	203	35	,	,	PUNCT
ejpam-1074	203	36	0≤	0≤	PUNCT
ejpam-1074	203	37	γ	γ	X
ejpam-1074	203	38	<	<	X
ejpam-1074	203	39	p	p	X
ejpam-1074	203	40	;	;	PUNCT
ejpam-1074	203	41	0	0	NUM
ejpam-1074	203	42	<	<	X
ejpam-1074	203	43	δ	δ	PROPN
ejpam-1074	203	44	≤	≤	ADV
ejpam-1074	203	45	1	1	NUM
ejpam-1074	203	46	,	,	PUNCT
ejpam-1074	203	47	for	for	ADP
ejpam-1074	203	48	some	some	DET
ejpam-1074	203	49	g(z	g(z	PROPN
ejpam-1074	203	50	)	)	PUNCT
ejpam-1074	203	51	∈	∈	PROPN
ejpam-1074	203	52	σ∗p	σ∗p	NOUN
ejpam-1074	203	53	,	,	PUNCT
ejpam-1074	203	54	n[λ	n[λ	X
ejpam-1074	203	55	,	,	PUNCT
ejpam-1074	203	56	m	m	PRON
ejpam-1074	203	57	;	;	PUNCT
ejpam-1074	203	58	a	a	DET
ejpam-1074	203	59	,	,	PUNCT
ejpam-1074	203	60	b	b	NOUN
ejpam-1074	203	61	]	]	X
ejpam-1074	203	62	then	then	ADV
ejpam-1074	203	63	�	�	PROPN
ejpam-1074	203	64	�	�	PROPN
ejpam-1074	203	65	�	�	PROPN
ejpam-1074	203	66	�	�	PROPN
ejpam-1074	203	67	�	�	PROPN
ejpam-1074	203	68	arg	arg	VERB
ejpam-1074	203	69	−	−	PROPN
ejpam-1074	203	70	z(dm+1	z(dm+1	PROPN
ejpam-1074	203	71	λ	λ	PROPN
ejpam-1074	203	72	,	,	PUNCT
ejpam-1074	203	73	p	p	NOUN
ejpam-1074	203	74	fυ	fυ	NOUN
ejpam-1074	203	75	,	,	PUNCT
ejpam-1074	203	76	p	p	X
ejpam-1074	203	77	(	(	PUNCT
ejpam-1074	203	78	f	f	PROPN
ejpam-1074	203	79	)	)	PUNCT
ejpam-1074	203	80	(	(	PUNCT
ejpam-1074	203	81	z))′	z))′	X
ejpam-1074	203	82	dm+1	dm+1	PROPN
ejpam-1074	203	83	λ	λ	PROPN
ejpam-1074	203	84	,	,	PUNCT
ejpam-1074	203	85	p	p	PROPN
ejpam-1074	203	86	gυ	gυ	PROPN
ejpam-1074	203	87	,	,	PUNCT
ejpam-1074	203	88	p(g)(z	p(g)(z	NOUN
ejpam-1074	203	89	)	)	PUNCT
ejpam-1074	203	90	−	−	PROPN
ejpam-1074	203	91	γ	γ	X
ejpam-1074	203	92	!	!	PUNCT
ejpam-1074	203	93	�	�	PROPN
ejpam-1074	203	94	�	�	PROPN
ejpam-1074	203	95	�	�	PROPN
ejpam-1074	203	96	�	�	PROPN
ejpam-1074	203	97	�	�	PROPN
ejpam-1074	203	98	<	<	X
ejpam-1074	203	99	π	π	PROPN
ejpam-1074	203	100	2	2	NUM
ejpam-1074	203	101	δ	δ	PROPN
ejpam-1074	203	102	,	,	PUNCT
ejpam-1074	203	103	where	where	SCONJ
ejpam-1074	203	104	fυ	fυ	X
ejpam-1074	203	105	,	,	PUNCT
ejpam-1074	203	106	p	p	X
ejpam-1074	203	107	(	(	PUNCT
ejpam-1074	203	108	f	f	PROPN
ejpam-1074	203	109	)	)	PUNCT
ejpam-1074	203	110	(	(	PUNCT
ejpam-1074	203	111	z	z	NOUN
ejpam-1074	203	112	)	)	PUNCT
ejpam-1074	203	113	and	and	CCONJ
ejpam-1074	203	114	gυ	gυ	ADJ
ejpam-1074	203	115	,	,	PUNCT
ejpam-1074	203	116	p(g)(z	p(g)(z	NOUN
ejpam-1074	203	117	)	)	PUNCT
ejpam-1074	203	118	are	be	AUX
ejpam-1074	203	119	given	give	VERB
ejpam-1074	203	120	(	(	PUNCT
ejpam-1074	203	121	7	7	NUM
ejpam-1074	203	122	)	)	PUNCT
ejpam-1074	203	123	and	and	CCONJ
ejpam-1074	203	124	(	(	PUNCT
ejpam-1074	203	125	23	23	NUM
ejpam-1074	203	126	)	)	PUNCT
ejpam-1074	203	127	,	,	PUNCT
ejpam-1074	203	128	respectively	respectively	ADV
ejpam-1074	203	129	with	with	ADP
ejpam-1074	203	130	υ=	υ=	NOUN
ejpam-1074	203	131	1	1	NUM
ejpam-1074	203	132	λ	λ	NOUN
ejpam-1074	203	133	.	.	PUNCT
ejpam-1074	204	1	proof	proof	NOUN
ejpam-1074	204	2	.	.	PUNCT
ejpam-1074	205	1	from	from	ADP
ejpam-1074	205	2	(	(	PUNCT
ejpam-1074	205	3	6	6	NUM
ejpam-1074	205	4	)	)	PUNCT
ejpam-1074	205	5	and	and	CCONJ
ejpam-1074	205	6	(	(	PUNCT
ejpam-1074	205	7	8)	8)	NUM
ejpam-1074	205	8	,	,	PUNCT
ejpam-1074	205	9	with	with	ADP
ejpam-1074	205	10	υ=	υ=	NOUN
ejpam-1074	205	11	1	1	NUM
ejpam-1074	205	12	λ	λ	NOUN
ejpam-1074	205	13	,	,	PUNCT
ejpam-1074	205	14	we	we	PRON
ejpam-1074	205	15	have	have	VERB
ejpam-1074	205	16	dm	dm	PROPN
ejpam-1074	205	17	λ	λ	PROPN
ejpam-1074	205	18	,	,	PUNCT
ejpam-1074	205	19	p	p	PROPN
ejpam-1074	205	20	f	f	X
ejpam-1074	205	21	(	(	PUNCT
ejpam-1074	205	22	z	z	NOUN
ejpam-1074	205	23	)	)	PUNCT
ejpam-1074	205	24	=	=	SYM
ejpam-1074	206	1	dm+1	dm+1	PUNCT
ejpam-1074	206	2	λ	λ	NOUN
ejpam-1074	206	3	,	,	PUNCT
ejpam-1074	206	4	p	p	NOUN
ejpam-1074	206	5	fυ	fυ	NOUN
ejpam-1074	206	6	,	,	PUNCT
ejpam-1074	206	7	p	p	X
ejpam-1074	206	8	(	(	PUNCT
ejpam-1074	206	9	f	f	PROPN
ejpam-1074	206	10	)	)	PUNCT
ejpam-1074	206	11	(	(	PUNCT
ejpam-1074	206	12	z	z	NOUN
ejpam-1074	206	13	)	)	PUNCT
ejpam-1074	206	14	.	.	PUNCT
ejpam-1074	207	1	therefore	therefore	ADV
ejpam-1074	207	2	z(dm	z(dm	PROPN
ejpam-1074	207	3	λ	λ	PROPN
ejpam-1074	207	4	,	,	PUNCT
ejpam-1074	207	5	p	p	PROPN
ejpam-1074	207	6	f	f	X
ejpam-1074	207	7	(	(	PUNCT
ejpam-1074	207	8	z))′	z))′	PROPN
ejpam-1074	207	9	dm	dm	PROPN
ejpam-1074	207	10	λ	λ	PROPN
ejpam-1074	207	11	,	,	PUNCT
ejpam-1074	207	12	p	p	NOUN
ejpam-1074	207	13	g(z	g(z	NOUN
ejpam-1074	207	14	)	)	PUNCT
ejpam-1074	207	15	=	=	PUNCT
ejpam-1074	207	16	z(dm+1	z(dm+1	NUM
ejpam-1074	207	17	λ	λ	PROPN
ejpam-1074	207	18	,	,	PUNCT
ejpam-1074	207	19	p	p	NOUN
ejpam-1074	207	20	fυ	fυ	NOUN
ejpam-1074	207	21	,	,	PUNCT
ejpam-1074	207	22	p	p	X
ejpam-1074	207	23	(	(	PUNCT
ejpam-1074	207	24	f	f	PROPN
ejpam-1074	207	25	)	)	PUNCT
ejpam-1074	207	26	(	(	PUNCT
ejpam-1074	207	27	z))′	z))′	X
ejpam-1074	207	28	dm+1	dm+1	PROPN
ejpam-1074	207	29	λ	λ	PROPN
ejpam-1074	207	30	,	,	PUNCT
ejpam-1074	207	31	p	p	PROPN
ejpam-1074	207	32	gυ	gυ	PROPN
ejpam-1074	207	33	,	,	PUNCT
ejpam-1074	207	34	p(g)(z	p(g)(z	NOUN
ejpam-1074	207	35	)	)	PUNCT
ejpam-1074	207	36	and	and	CCONJ
ejpam-1074	207	37	the	the	DET
ejpam-1074	207	38	theorem	theorem	NOUN
ejpam-1074	207	39	follows	follow	VERB
ejpam-1074	207	40	.	.	PUNCT
ejpam-1074	208	1	remark	remark	PROPN
ejpam-1074	208	2	2	2	NUM
ejpam-1074	208	3	.	.	PUNCT
ejpam-1074	209	1	putting	put	VERB
ejpam-1074	209	2	λ=	λ=	ADJ
ejpam-1074	209	3	1	1	NUM
ejpam-1074	209	4	and	and	CCONJ
ejpam-1074	209	5	n=	n=	ADJ
ejpam-1074	209	6	0	0	NUM
ejpam-1074	210	1	in	in	ADP
ejpam-1074	210	2	the	the	DET
ejpam-1074	210	3	above	above	ADJ
ejpam-1074	210	4	results	result	NOUN
ejpam-1074	210	5	,	,	PUNCT
ejpam-1074	210	6	we	we	PRON
ejpam-1074	210	7	obtain	obtain	VERB
ejpam-1074	210	8	the	the	DET
ejpam-1074	210	9	results	result	NOUN
ejpam-1074	210	10	corresponding	correspond	VERB
ejpam-1074	210	11	to	to	ADP
ejpam-1074	210	12	the	the	DET
ejpam-1074	210	13	class	class	NOUN
ejpam-1074	210	14	σ∗p[m	σ∗p[m	NUM
ejpam-1074	210	15	;	;	PUNCT
ejpam-1074	210	16	a	a	DET
ejpam-1074	210	17	,	,	PUNCT
ejpam-1074	210	18	b	b	NOUN
ejpam-1074	210	19	]	]	X
ejpam-1074	210	20	defined	define	VERB
ejpam-1074	210	21	in	in	ADP
ejpam-1074	210	22	the	the	DET
ejpam-1074	210	23	introduction	introduction	NOUN
ejpam-1074	210	24	.	.	PUNCT
ejpam-1074	211	1	acknowledgements	acknowledgement	NOUN
ejpam-1074	211	2	the	the	DET
ejpam-1074	211	3	authors	author	NOUN
ejpam-1074	211	4	would	would	AUX
ejpam-1074	211	5	like	like	VERB
ejpam-1074	211	6	to	to	PART
ejpam-1074	211	7	thank	thank	VERB
ejpam-1074	211	8	the	the	DET
ejpam-1074	211	9	referee(s	referee(s	NOUN
ejpam-1074	211	10	)	)	PUNCT
ejpam-1074	211	11	for	for	ADP
ejpam-1074	211	12	their	their	PRON
ejpam-1074	211	13	insightful	insightful	ADJ
ejpam-1074	211	14	comments	comment	NOUN
ejpam-1074	211	15	and	and	CCONJ
ejpam-1074	211	16	suggestions	suggestion	NOUN
ejpam-1074	211	17	.	.	PUNCT
ejpam-1074	212	1	references	reference	NOUN
ejpam-1074	212	2	[	[	X
ejpam-1074	212	3	1	1	X
ejpam-1074	212	4	]	]	X
ejpam-1074	212	5	m.k	m.k	PROPN
ejpam-1074	212	6	.	.	PROPN
ejpam-1074	212	7	aouf	aouf	PROPN
ejpam-1074	212	8	.	.	PUNCT
ejpam-1074	213	1	new	new	ADJ
ejpam-1074	213	2	criteria	criterion	NOUN
ejpam-1074	213	3	for	for	ADP
ejpam-1074	213	4	multivalent	multivalent	ADJ
ejpam-1074	213	5	meromorphic	meromorphic	PROPN
ejpam-1074	213	6	starlike	starlike	NOUN
ejpam-1074	213	7	functions	function	NOUN
ejpam-1074	213	8	of	of	ADP
ejpam-1074	213	9	order	order	NOUN
ejpam-1074	213	10	alpha	alpha	NOUN
ejpam-1074	213	11	.	.	PUNCT
ejpam-1074	214	1	procceding	procceding	NOUN
ejpam-1074	214	2	of	of	ADP
ejpam-1074	214	3	the	the	DET
ejpam-1074	214	4	japan	japan	PROPN
ejpam-1074	214	5	academy	academy	PROPN
ejpam-1074	214	6	,	,	PUNCT
ejpam-1074	214	7	series	series	PROPN
ejpam-1074	214	8	a	a	PRON
ejpam-1074	214	9	,	,	PUNCT
ejpam-1074	214	10	mathematical	mathematical	ADJ
ejpam-1074	214	11	science	science	NOUN
ejpam-1074	214	12	,	,	PUNCT
ejpam-1074	214	13	69(3):66–70	69(3):66–70	NUM
ejpam-1074	214	14	,	,	PUNCT
ejpam-1074	214	15	1993	1993	NUM
ejpam-1074	214	16	.	.	PUNCT
ejpam-1074	215	1	[	[	X
ejpam-1074	215	2	2	2	NUM
ejpam-1074	215	3	]	]	X
ejpam-1074	215	4	m.k	m.k	PROPN
ejpam-1074	215	5	.	.	PROPN
ejpam-1074	215	6	aouf	aouf	PROPN
ejpam-1074	215	7	.	.	PUNCT
ejpam-1074	216	1	certain	certain	ADJ
ejpam-1074	216	2	classes	class	NOUN
ejpam-1074	216	3	of	of	ADP
ejpam-1074	216	4	meromorphic	meromorphic	ADJ
ejpam-1074	216	5	multivalent	multivalent	NOUN
ejpam-1074	216	6	functions	function	NOUN
ejpam-1074	216	7	with	with	ADP
ejpam-1074	216	8	positive	positive	ADJ
ejpam-1074	216	9	coefficients	coefficient	NOUN
ejpam-1074	216	10	.	.	PUNCT
ejpam-1074	217	1	mathematical	mathematical	ADJ
ejpam-1074	217	2	computer	computer	NOUN
ejpam-1074	217	3	modelling	modelling	NOUN
ejpam-1074	217	4	,	,	PUNCT
ejpam-1074	217	5	47(3	47(3	NUM
ejpam-1074	217	6	-	-	PUNCT
ejpam-1074	217	7	4):328–340	4):328–340	NUM
ejpam-1074	217	8	,	,	PUNCT
ejpam-1074	217	9	2008	2008	NUM
ejpam-1074	217	10	.	.	PUNCT
ejpam-1074	218	1	[	[	X
ejpam-1074	218	2	3	3	X
ejpam-1074	218	3	]	]	X
ejpam-1074	218	4	m.k	m.k	PROPN
ejpam-1074	218	5	.	.	PROPN
ejpam-1074	218	6	aouf	aouf	PROPN
ejpam-1074	218	7	.	.	PUNCT
ejpam-1074	219	1	on	on	ADP
ejpam-1074	219	2	certain	certain	ADJ
ejpam-1074	219	3	subclass	subclass	NOUN
ejpam-1074	219	4	of	of	ADP
ejpam-1074	219	5	meromorphic	meromorphic	ADJ
ejpam-1074	219	6	p	p	PROPN
ejpam-1074	219	7	-	-	PUNCT
ejpam-1074	219	8	valent	valent	NOUN
ejpam-1074	219	9	functions	function	NOUN
ejpam-1074	219	10	with	with	ADP
ejpam-1074	219	11	negative	negative	ADJ
ejpam-1074	219	12	coefficients	coefficient	NOUN
ejpam-1074	219	13	.	.	PUNCT
ejpam-1074	220	1	general	general	ADJ
ejpam-1074	220	2	mathematics	mathematic	NOUN
ejpam-1074	220	3	,	,	PUNCT
ejpam-1074	220	4	18(2):71–84	18(2):71–84	NUM
ejpam-1074	220	5	,	,	PUNCT
ejpam-1074	220	6	2010	2010	NUM
ejpam-1074	220	7	.	.	PUNCT
ejpam-1074	221	1	[	[	X
ejpam-1074	221	2	4	4	X
ejpam-1074	221	3	]	]	X
ejpam-1074	221	4	m.k	m.k	PROPN
ejpam-1074	221	5	.	.	PROPN
ejpam-1074	221	6	aouf	aouf	PROPN
ejpam-1074	221	7	and	and	CCONJ
ejpam-1074	221	8	h.m	h.m	PROPN
ejpam-1074	221	9	.	.	PROPN
ejpam-1074	221	10	hossen	hossen	PROPN
ejpam-1074	221	11	.	.	PUNCT
ejpam-1074	222	1	new	new	ADJ
ejpam-1074	222	2	criteria	criterion	NOUN
ejpam-1074	222	3	for	for	ADP
ejpam-1074	222	4	meromorphic	meromorphic	ADJ
ejpam-1074	222	5	p	p	PROPN
ejpam-1074	222	6	-	-	PUNCT
ejpam-1074	222	7	valent	valent	NOUN
ejpam-1074	222	8	starlike	starlike	NOUN
ejpam-1074	222	9	functions	function	NOUN
ejpam-1074	222	10	.	.	PUNCT
ejpam-1074	223	1	tsukuba	tsukuba	PROPN
ejpam-1074	223	2	journal	journal	PROPN
ejpam-1074	223	3	of	of	ADP
ejpam-1074	223	4	mathematics	mathematic	NOUN
ejpam-1074	223	5	,	,	PUNCT
ejpam-1074	223	6	17(2):481–486	17(2):481–486	NUM
ejpam-1074	223	7	,	,	PUNCT
ejpam-1074	223	8	1993	1993	NUM
ejpam-1074	223	9	.	.	PUNCT
ejpam-1074	224	1	[	[	X
ejpam-1074	224	2	5	5	NUM
ejpam-1074	224	3	]	]	PUNCT
ejpam-1074	224	4	p.	p.	NOUN
ejpam-1074	224	5	eenigenberg	eenigenberg	PROPN
ejpam-1074	224	6	,	,	PUNCT
ejpam-1074	224	7	s.s	s.s	PROPN
ejpam-1074	224	8	.	.	PROPN
ejpam-1074	224	9	miller	miller	PROPN
ejpam-1074	224	10	,	,	PUNCT
ejpam-1074	224	11	p.t	p.t	PROPN
ejpam-1074	224	12	.	.	PROPN
ejpam-1074	224	13	mocanu	mocanu	PROPN
ejpam-1074	224	14	,	,	PUNCT
ejpam-1074	224	15	and	and	CCONJ
ejpam-1074	224	16	m.o	m.o	PROPN
ejpam-1074	224	17	.	.	PROPN
ejpam-1074	224	18	reade	reade	PROPN
ejpam-1074	224	19	.	.	PUNCT
ejpam-1074	225	1	on	on	ADP
ejpam-1074	225	2	a	a	DET
ejpam-1074	225	3	briot	briot	ADJ
ejpam-1074	225	4	-	-	PUNCT
ejpam-1074	225	5	bouquet	bouquet	NOUN
ejpam-1074	225	6	differential	differential	NOUN
ejpam-1074	225	7	subordination	subordination	NOUN
ejpam-1074	225	8	.	.	PUNCT
ejpam-1074	226	1	general	general	ADJ
ejpam-1074	226	2	inequality	inequality	PROPN
ejpam-1074	226	3	,	,	PUNCT
ejpam-1074	226	4	3:339–348	3:339–348	NUM
ejpam-1074	226	5	,	,	PUNCT
ejpam-1074	226	6	1983	1983	NUM
ejpam-1074	226	7	.	.	PUNCT
ejpam-1074	227	1	references	reference	NOUN
ejpam-1074	227	2	399	399	NUM
ejpam-1074	227	3	[	[	X
ejpam-1074	227	4	6	6	NUM
ejpam-1074	227	5	]	]	X
ejpam-1074	227	6	a.y	a.y	PROPN
ejpam-1074	227	7	.	.	PROPN
ejpam-1074	227	8	lashin	lashin	PROPN
ejpam-1074	227	9	.	.	PUNCT
ejpam-1074	228	1	argument	argument	NOUN
ejpam-1074	228	2	estimates	estimate	NOUN
ejpam-1074	228	3	of	of	ADP
ejpam-1074	228	4	certain	certain	ADJ
ejpam-1074	228	5	meromorphically	meromorphically	ADV
ejpam-1074	228	6	p	p	ADJ
ejpam-1074	228	7	-	-	PUNCT
ejpam-1074	228	8	valent	valent	NOUN
ejpam-1074	228	9	functions	function	NOUN
ejpam-1074	228	10	.	.	PUNCT
ejpam-1074	229	1	soochow	soochow	PROPN
ejpam-1074	229	2	journal	journal	PROPN
ejpam-1074	229	3	of	of	ADP
ejpam-1074	229	4	mathematics	mathematic	NOUN
ejpam-1074	229	5	,	,	PUNCT
ejpam-1074	229	6	33(4):803–812	33(4):803–812	PROPN
ejpam-1074	229	7	,	,	PUNCT
ejpam-1074	229	8	2007	2007	NUM
ejpam-1074	229	9	.	.	PUNCT
ejpam-1074	230	1	[	[	X
ejpam-1074	230	2	7	7	NUM
ejpam-1074	230	3	]	]	X
ejpam-1074	230	4	j	j	PROPN
ejpam-1074	230	5	-	-	PUNCT
ejpam-1074	230	6	l.	l.	PROPN
ejpam-1074	230	7	liu	liu	PROPN
ejpam-1074	230	8	and	and	CCONJ
ejpam-1074	230	9	h.m	h.m	PROPN
ejpam-1074	230	10	.	.	PROPN
ejpam-1074	230	11	srivastava	srivastava	PROPN
ejpam-1074	230	12	.	.	PUNCT
ejpam-1074	231	1	classes	class	NOUN
ejpam-1074	231	2	of	of	ADP
ejpam-1074	231	3	meromorphically	meromorphically	ADV
ejpam-1074	231	4	multivalent	multivalent	NOUN
ejpam-1074	231	5	functions	function	NOUN
ejpam-1074	231	6	associated	associate	VERB
ejpam-1074	231	7	with	with	ADP
ejpam-1074	231	8	the	the	DET
ejpam-1074	231	9	generalized	generalize	VERB
ejpam-1074	231	10	hypergeometric	hypergeometric	ADJ
ejpam-1074	231	11	function	function	NOUN
ejpam-1074	231	12	.	.	PUNCT
ejpam-1074	232	1	mathematical	mathematical	ADJ
ejpam-1074	232	2	computer	computer	NOUN
ejpam-1074	232	3	modelling	modelling	NOUN
ejpam-1074	232	4	,	,	PUNCT
ejpam-1074	232	5	39(1):21–34	39(1):21–34	NUM
ejpam-1074	232	6	,	,	PUNCT
ejpam-1074	232	7	2004	2004	NUM
ejpam-1074	232	8	.	.	PUNCT
ejpam-1074	233	1	[	[	X
ejpam-1074	233	2	8	8	NUM
ejpam-1074	233	3	]	]	X
ejpam-1074	233	4	s.s	s.s	PROPN
ejpam-1074	233	5	.	.	PROPN
ejpam-1074	233	6	miller	miller	PROPN
ejpam-1074	233	7	and	and	CCONJ
ejpam-1074	233	8	p.t	p.t	PROPN
ejpam-1074	233	9	.	.	PROPN
ejpam-1074	233	10	mocanu	mocanu	PROPN
ejpam-1074	233	11	.	.	PUNCT
ejpam-1074	234	1	differential	differential	ADJ
ejpam-1074	234	2	subordinations	subordination	NOUN
ejpam-1074	234	3	and	and	CCONJ
ejpam-1074	234	4	univalent	univalent	ADJ
ejpam-1074	234	5	functions	function	NOUN
ejpam-1074	234	6	.	.	PUNCT
ejpam-1074	235	1	michigan	michigan	PROPN
ejpam-1074	235	2	mathematical	mathematical	PROPN
ejpam-1074	235	3	journal	journal	PROPN
ejpam-1074	235	4	,	,	PUNCT
ejpam-1074	235	5	28(2):157–172	28(2):157–172	NUM
ejpam-1074	235	6	,	,	PUNCT
ejpam-1074	235	7	1981	1981	NUM
ejpam-1074	235	8	.	.	PUNCT
ejpam-1074	236	1	[	[	X
ejpam-1074	236	2	9	9	NUM
ejpam-1074	236	3	]	]	PUNCT
ejpam-1074	236	4	m.	m.	NOUN
ejpam-1074	236	5	nunokawa	nunokawa	NOUN
ejpam-1074	236	6	.	.	PUNCT
ejpam-1074	237	1	on	on	ADP
ejpam-1074	237	2	the	the	DET
ejpam-1074	237	3	order	order	NOUN
ejpam-1074	237	4	of	of	ADP
ejpam-1074	237	5	strongly	strongly	ADV
ejpam-1074	237	6	starlikeness	starlikeness	NOUN
ejpam-1074	237	7	of	of	ADP
ejpam-1074	237	8	strongly	strongly	ADV
ejpam-1074	237	9	convex	convex	ADJ
ejpam-1074	237	10	functions	function	NOUN
ejpam-1074	237	11	.	.	PUNCT
ejpam-1074	238	1	procceding	procceding	NOUN
ejpam-1074	238	2	of	of	ADP
ejpam-1074	238	3	the	the	DET
ejpam-1074	238	4	japan	japan	PROPN
ejpam-1074	238	5	academy	academy	PROPN
ejpam-1074	238	6	,	,	PUNCT
ejpam-1074	238	7	series	series	PROPN
ejpam-1074	238	8	a	a	PRON
ejpam-1074	238	9	,	,	PUNCT
ejpam-1074	238	10	mathematical	mathematical	ADJ
ejpam-1074	238	11	science	science	NOUN
ejpam-1074	238	12	,	,	PUNCT
ejpam-1074	238	13	69(7):234–237	69(7):234–237	PROPN
ejpam-1074	238	14	,	,	PUNCT
ejpam-1074	238	15	1993	1993	NUM
ejpam-1074	238	16	.	.	PUNCT
ejpam-1074	239	1	[	[	X
ejpam-1074	239	2	10	10	NUM
ejpam-1074	239	3	]	]	X
ejpam-1074	239	4	h.	h.	PROPN
ejpam-1074	239	5	silverman	silverman	PROPN
ejpam-1074	239	6	and	and	CCONJ
ejpam-1074	239	7	e.m	e.m	PROPN
ejpam-1074	239	8	.	.	PROPN
ejpam-1074	239	9	silvia	silvia	PROPN
ejpam-1074	239	10	.	.	PUNCT
ejpam-1074	240	1	subclasses	subclass	NOUN
ejpam-1074	240	2	of	of	ADP
ejpam-1074	240	3	starlike	starlike	NOUN
ejpam-1074	240	4	functions	function	NOUN
ejpam-1074	240	5	subordinate	subordinate	VERB
ejpam-1074	240	6	to	to	ADP
ejpam-1074	240	7	convex	convex	NOUN
ejpam-1074	240	8	functions	function	NOUN
ejpam-1074	240	9	.	.	PUNCT
ejpam-1074	241	1	canadian	canadian	ADJ
ejpam-1074	241	2	journal	journal	PROPN
ejpam-1074	241	3	of	of	ADP
ejpam-1074	241	4	mathematics	mathematic	NOUN
ejpam-1074	241	5	,	,	PUNCT
ejpam-1074	241	6	37(1):48–61	37(1):48–61	NUM
ejpam-1074	241	7	,	,	PUNCT
ejpam-1074	241	8	1985	1985	NUM
ejpam-1074	241	9	.	.	PUNCT
ejpam-1074	242	1	[	[	X
ejpam-1074	242	2	11	11	NUM
ejpam-1074	242	3	]	]	X
ejpam-1074	242	4	h.m	h.m	PROPN
ejpam-1074	242	5	.	.	PROPN
ejpam-1074	242	6	srivastava	srivastava	PROPN
ejpam-1074	242	7	and	and	CCONJ
ejpam-1074	242	8	j.	j.	PROPN
ejpam-1074	242	9	patel	patel	PROPN
ejpam-1074	242	10	.	.	PUNCT
ejpam-1074	243	1	applications	application	NOUN
ejpam-1074	243	2	of	of	ADP
ejpam-1074	243	3	differential	differential	ADJ
ejpam-1074	243	4	subordination	subordination	NOUN
ejpam-1074	243	5	to	to	ADP
ejpam-1074	243	6	certain	certain	ADJ
ejpam-1074	243	7	subclasses	subclass	NOUN
ejpam-1074	243	8	of	of	ADP
ejpam-1074	243	9	meromorphically	meromorphically	ADV
ejpam-1074	243	10	multivalent	multivalent	NOUN
ejpam-1074	243	11	functions	function	NOUN
ejpam-1074	243	12	.	.	PUNCT
ejpam-1074	244	1	journal	journal	PROPN
ejpam-1074	244	2	inequality	inequality	NOUN
ejpam-1074	244	3	of	of	ADP
ejpam-1074	244	4	pure	pure	ADJ
ejpam-1074	244	5	and	and	CCONJ
ejpam-1074	244	6	applied	applied	ADJ
ejpam-1074	244	7	mathematics	mathematic	NOUN
ejpam-1074	244	8	,	,	PUNCT
ejpam-1074	244	9	6(3):article	6(3):article	NOUN
ejpam-1074	244	10	88	88	NUM
ejpam-1074	244	11	,	,	PUNCT
ejpam-1074	244	12	pp	pp	ADJ
ejpam-1074	244	13	.	.	PUNCT
ejpam-1074	244	14	15	15	NUM
ejpam-1074	244	15	,	,	PUNCT
ejpam-1074	244	16	2005	2005	NUM
ejpam-1074	244	17	.	.	PUNCT
ejpam-1074	245	1	(	(	PUNCT
ejpam-1074	245	2	electronic	electronic	ADJ
ejpam-1074	245	3	)	)	PUNCT
ejpam-1074	245	4	.	.	PUNCT
ejpam-1074	246	1	[	[	X
ejpam-1074	246	2	12	12	NUM
ejpam-1074	246	3	]	]	X
ejpam-1074	246	4	b.a	b.a	PROPN
ejpam-1074	246	5	.	.	PROPN
ejpam-1074	246	6	uralegaddi	uralegaddi	PROPN
ejpam-1074	246	7	and	and	CCONJ
ejpam-1074	246	8	c.	c.	PROPN
ejpam-1074	246	9	somanatha	somanatha	PROPN
ejpam-1074	246	10	.	.	PUNCT
ejpam-1074	247	1	certain	certain	ADJ
ejpam-1074	247	2	classes	class	NOUN
ejpam-1074	247	3	of	of	ADP
ejpam-1074	247	4	meromorphic	meromorphic	ADJ
ejpam-1074	247	5	multivalent	multivalent	NOUN
ejpam-1074	247	6	functions	function	NOUN
ejpam-1074	247	7	.	.	PUNCT
ejpam-1074	248	1	tamkang	tamkang	PROPN
ejpam-1074	248	2	journal	journal	PROPN
ejpam-1074	248	3	of	of	ADP
ejpam-1074	248	4	mathematics	mathematic	NOUN
ejpam-1074	248	5	,	,	PUNCT
ejpam-1074	248	6	23(3):223–231	23(3):223–231	PROPN
ejpam-1074	248	7	,	,	PUNCT
ejpam-1074	248	8	1992	1992	NUM
ejpam-1074	248	9	.	.	PUNCT
ejpam-1074	249	1	[	[	X
ejpam-1074	249	2	13	13	NUM
ejpam-1074	249	3	]	]	X
ejpam-1074	249	4	d.	d.	PROPN
ejpam-1074	249	5	yang	yang	PROPN
ejpam-1074	249	6	.	.	PUNCT
ejpam-1074	250	1	on	on	ADP
ejpam-1074	250	2	a	a	DET
ejpam-1074	250	3	class	class	NOUN
ejpam-1074	250	4	of	of	ADP
ejpam-1074	250	5	meromorphic	meromorphic	ADJ
ejpam-1074	250	6	starlike	starlike	NOUN
ejpam-1074	250	7	multivalent	multivalent	NOUN
ejpam-1074	250	8	functions	function	NOUN
ejpam-1074	250	9	.	.	PUNCT
ejpam-1074	251	1	bulletin	bulletin	PROPN
ejpam-1074	251	2	institute	institute	PROPN
ejpam-1074	251	3	of	of	ADP
ejpam-1074	251	4	mathematics	mathematics	PROPN
ejpam-1074	251	5	academia	academia	PROPN
ejpam-1074	251	6	sinica	sinica	PROPN
ejpam-1074	251	7	,	,	PUNCT
ejpam-1074	251	8	24(2):151–157	24(2):151–157	PROPN
ejpam-1074	251	9	,	,	PUNCT
ejpam-1074	251	10	1996	1996	NUM
ejpam-1074	251	11	.	.	PUNCT