id	sid	tid	token	lemma	pos
ejpam-1374	1	1	7_xxx_aouf.dvi	7_xxx_aouf.dvi	NUM
ejpam-1374	1	2	european	european	ADJ
ejpam-1374	1	3	journal	journal	PROPN
ejpam-1374	1	4	of	of	ADP
ejpam-1374	1	5	pure	pure	ADJ
ejpam-1374	1	6	and	and	CCONJ
ejpam-1374	1	7	applied	apply	VERB
ejpam-1374	1	8	mathematics	mathematic	NOUN
ejpam-1374	1	9	vol	vol	NOUN
ejpam-1374	1	10	.	.	PROPN
ejpam-1374	1	11	4	4	NUM
ejpam-1374	1	12	,	,	PUNCT
ejpam-1374	1	13	no	no	INTJ
ejpam-1374	1	14	.	.	NOUN
ejpam-1374	1	15	4	4	NUM
ejpam-1374	1	16	,	,	PUNCT
ejpam-1374	1	17	2011	2011	NUM
ejpam-1374	1	18	,	,	PUNCT
ejpam-1374	1	19	435	435	NUM
ejpam-1374	1	20	-	-	SYM
ejpam-1374	1	21	447	447	NUM
ejpam-1374	1	22	issn	issn	PROPN
ejpam-1374	1	23	1307	1307	NUM
ejpam-1374	1	24	-	-	SYM
ejpam-1374	1	25	5543	5543	NUM
ejpam-1374	1	26	–	–	PUNCT
ejpam-1374	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1374	1	28	on	on	ADP
ejpam-1374	1	29	certain	certain	ADJ
ejpam-1374	1	30	subclasses	subclass	NOUN
ejpam-1374	1	31	of	of	ADP
ejpam-1374	1	32	meromorphically	meromorphically	ADV
ejpam-1374	1	33	p	p	ADJ
ejpam-1374	1	34	-	-	PUNCT
ejpam-1374	1	35	valent	valent	NOUN
ejpam-1374	1	36	functions	function	NOUN
ejpam-1374	1	37	associated	associate	VERB
ejpam-1374	1	38	with	with	ADP
ejpam-1374	1	39	integral	integral	ADJ
ejpam-1374	1	40	operators	operator	NOUN
ejpam-1374	1	41	m.	m.	PROPN
ejpam-1374	1	42	k.	k.	PROPN
ejpam-1374	1	43	aouf∗	aouf∗	PROPN
ejpam-1374	1	44	,	,	PUNCT
ejpam-1374	1	45	a.	a.	NOUN
ejpam-1374	1	46	shamandy	shamandy	NOUN
ejpam-1374	1	47	,	,	PUNCT
ejpam-1374	1	48	a.	a.	PROPN
ejpam-1374	1	49	o.	o.	PROPN
ejpam-1374	1	50	mostafa	mostafa	PROPN
ejpam-1374	1	51	and	and	CCONJ
ejpam-1374	1	52	f.	f.	PROPN
ejpam-1374	1	53	z.	z.	PROPN
ejpam-1374	1	54	el	el	PROPN
ejpam-1374	1	55	-	-	PUNCT
ejpam-1374	1	56	emam	emam	PROPN
ejpam-1374	1	57	faculty	faculty	NOUN
ejpam-1374	1	58	of	of	ADP
ejpam-1374	1	59	science	science	PROPN
ejpam-1374	1	60	mansoura	mansoura	PROPN
ejpam-1374	1	61	university	university	PROPN
ejpam-1374	1	62	mansoura	mansoura	NOUN
ejpam-1374	1	63	,	,	PUNCT
ejpam-1374	1	64	35516	35516	NUM
ejpam-1374	1	65	,	,	PUNCT
ejpam-1374	1	66	egypt	egypt	PROPN
ejpam-1374	1	67	abstract	abstract	PROPN
ejpam-1374	1	68	.	.	PUNCT
ejpam-1374	2	1	the	the	DET
ejpam-1374	2	2	object	object	NOUN
ejpam-1374	2	3	of	of	ADP
ejpam-1374	2	4	the	the	DET
ejpam-1374	2	5	present	present	ADJ
ejpam-1374	2	6	paper	paper	NOUN
ejpam-1374	2	7	is	be	AUX
ejpam-1374	2	8	to	to	PART
ejpam-1374	2	9	introduce	introduce	VERB
ejpam-1374	2	10	and	and	CCONJ
ejpam-1374	2	11	study	study	VERB
ejpam-1374	2	12	new	new	ADJ
ejpam-1374	2	13	classes	class	NOUN
ejpam-1374	2	14	of	of	ADP
ejpam-1374	2	15	meromorphically	meromorphically	ADV
ejpam-1374	2	16	p	p	ADJ
ejpam-1374	2	17	-	-	PUNCT
ejpam-1374	2	18	valent	valent	NOUN
ejpam-1374	2	19	functions	function	NOUN
ejpam-1374	2	20	associated	associate	VERB
ejpam-1374	2	21	with	with	ADP
ejpam-1374	2	22	the	the	DET
ejpam-1374	2	23	integral	integral	ADJ
ejpam-1374	2	24	operators	operator	NOUN
ejpam-1374	2	25	pα	pα	VERB
ejpam-1374	2	26	β	β	PROPN
ejpam-1374	2	27	,	,	PUNCT
ejpam-1374	2	28	p	p	PROPN
ejpam-1374	2	29	and	and	CCONJ
ejpam-1374	2	30	qα	qα	PROPN
ejpam-1374	2	31	β	β	PROPN
ejpam-1374	2	32	,	,	PUNCT
ejpam-1374	2	33	p	p	X
ejpam-1374	2	34	.	.	PUNCT
ejpam-1374	3	1	key	key	ADJ
ejpam-1374	3	2	words	word	NOUN
ejpam-1374	3	3	and	and	CCONJ
ejpam-1374	3	4	phrases	phrase	NOUN
ejpam-1374	3	5	:	:	PUNCT
ejpam-1374	3	6	meromorphic	meromorphic	ADJ
ejpam-1374	3	7	functions	function	NOUN
ejpam-1374	3	8	;	;	PUNCT
ejpam-1374	3	9	hadamard	hadamard	ADJ
ejpam-1374	3	10	product	product	NOUN
ejpam-1374	3	11	;	;	PUNCT
ejpam-1374	3	12	p	p	X
ejpam-1374	3	13	-	-	PUNCT
ejpam-1374	3	14	valent	valent	NOUN
ejpam-1374	3	15	functions	function	NOUN
ejpam-1374	3	16	;	;	PUNCT
ejpam-1374	3	17	differential	differential	ADJ
ejpam-1374	3	18	subordination	subordination	NOUN
ejpam-1374	3	19	;	;	PUNCT
ejpam-1374	3	20	integral	integral	ADJ
ejpam-1374	3	21	operators	operator	NOUN
ejpam-1374	3	22	.	.	PUNCT
ejpam-1374	4	1	1	1	X
ejpam-1374	4	2	.	.	X
ejpam-1374	4	3	introduction	introduction	NOUN
ejpam-1374	4	4	for	for	ADP
ejpam-1374	4	5	any	any	DET
ejpam-1374	4	6	integer	integer	NOUN
ejpam-1374	4	7	m	m	PROPN
ejpam-1374	4	8	>	>	X
ejpam-1374	4	9	−p	−p	NOUN
ejpam-1374	4	10	,	,	PUNCT
ejpam-1374	4	11	let	let	VERB
ejpam-1374	4	12	∑	∑	PROPN
ejpam-1374	4	13	p	p	X
ejpam-1374	4	14	,	,	PUNCT
ejpam-1374	4	15	m	m	VERB
ejpam-1374	4	16	denote	denote	VERB
ejpam-1374	4	17	the	the	DET
ejpam-1374	4	18	class	class	NOUN
ejpam-1374	4	19	of	of	ADP
ejpam-1374	4	20	functions	function	NOUN
ejpam-1374	4	21	of	of	ADP
ejpam-1374	4	22	the	the	DET
ejpam-1374	4	23	form	form	NOUN
ejpam-1374	5	1	f	f	X
ejpam-1374	5	2	(	(	PUNCT
ejpam-1374	5	3	z	z	NOUN
ejpam-1374	5	4	)	)	PUNCT
ejpam-1374	5	5	=	=	SYM
ejpam-1374	5	6	1	1	NUM
ejpam-1374	5	7	zp	zp	NOUN
ejpam-1374	5	8	+	+	CCONJ
ejpam-1374	5	9	∞	∞	NUM
ejpam-1374	5	10	∑	∑	PUNCT
ejpam-1374	5	11	k	k	X
ejpam-1374	5	12	=	=	PROPN
ejpam-1374	5	13	m	m	NOUN
ejpam-1374	5	14	akzk(p	akzk(p	NOUN
ejpam-1374	5	15	∈	∈	PROPN
ejpam-1374	5	16	n	n	NOUN
ejpam-1374	5	17	=	=	PUNCT
ejpam-1374	5	18	{	{	PUNCT
ejpam-1374	5	19	1,2,3	1,2,3	NUM
ejpam-1374	5	20	,	,	PUNCT
ejpam-1374	5	21	.	.	PUNCT
ejpam-1374	5	22	.	.	PUNCT
ejpam-1374	5	23	.	.	PUNCT
ejpam-1374	5	24	}	}	PUNCT
ejpam-1374	5	25	)	)	PUNCT
ejpam-1374	5	26	,	,	PUNCT
ejpam-1374	5	27	(	(	PUNCT
ejpam-1374	5	28	1	1	X
ejpam-1374	5	29	)	)	PUNCT
ejpam-1374	5	30	which	which	PRON
ejpam-1374	5	31	are	be	AUX
ejpam-1374	5	32	analytic	analytic	ADJ
ejpam-1374	5	33	and	and	CCONJ
ejpam-1374	5	34	p−valent	p−valent	NOUN
ejpam-1374	5	35	in	in	ADP
ejpam-1374	5	36	the	the	DET
ejpam-1374	5	37	punctured	punctured	ADJ
ejpam-1374	5	38	unit	unit	NOUN
ejpam-1374	5	39	disk	disk	NOUN
ejpam-1374	5	40	u∗	u∗	NOUN
ejpam-1374	5	41	=	=	SYM
ejpam-1374	5	42	{	{	PUNCT
ejpam-1374	5	43	z	z	NOUN
ejpam-1374	5	44	:	:	PUNCT
ejpam-1374	5	45	z	z	PROPN
ejpam-1374	5	46	∈	∈	PROPN
ejpam-1374	5	47	c	c	NOUN
ejpam-1374	5	48	and	and	CCONJ
ejpam-1374	5	49	0	0	NUM
ejpam-1374	5	50	<	<	X
ejpam-1374	5	51	|z|	|z|	PROPN
ejpam-1374	5	52	<	<	X
ejpam-1374	5	53	1}=	1}=	NUM
ejpam-1374	5	54	u\{0	u\{0	PROPN
ejpam-1374	5	55	}	}	PUNCT
ejpam-1374	5	56	.	.	PUNCT
ejpam-1374	6	1	for	for	ADP
ejpam-1374	6	2	convenience	convenience	NOUN
ejpam-1374	6	3	,	,	PUNCT
ejpam-1374	6	4	we	we	PRON
ejpam-1374	6	5	write	write	VERB
ejpam-1374	6	6	∑	∑	PUNCT
ejpam-1374	6	7	p,1−p	p,1−p	NOUN
ejpam-1374	6	8	=	=	PUNCT
ejpam-1374	6	9	∑	∑	PUNCT
ejpam-1374	6	10	p	p	X
ejpam-1374	6	11	.	.	PUNCT
ejpam-1374	7	1	if	if	SCONJ
ejpam-1374	7	2	f	f	PROPN
ejpam-1374	7	3	(	(	PUNCT
ejpam-1374	7	4	z	z	NOUN
ejpam-1374	7	5	)	)	PUNCT
ejpam-1374	7	6	and	and	CCONJ
ejpam-1374	7	7	g(z	g(z	PROPN
ejpam-1374	7	8	)	)	PUNCT
ejpam-1374	7	9	are	be	AUX
ejpam-1374	7	10	analytic	analytic	ADJ
ejpam-1374	7	11	in	in	ADP
ejpam-1374	7	12	u	u	PROPN
ejpam-1374	7	13	,	,	PUNCT
ejpam-1374	7	14	we	we	PRON
ejpam-1374	7	15	say	say	VERB
ejpam-1374	7	16	that	that	SCONJ
ejpam-1374	7	17	f	f	PROPN
ejpam-1374	7	18	(	(	PUNCT
ejpam-1374	7	19	z	z	NOUN
ejpam-1374	7	20	)	)	PUNCT
ejpam-1374	7	21	is	be	AUX
ejpam-1374	7	22	subordinate	subordinate	ADJ
ejpam-1374	7	23	to	to	ADP
ejpam-1374	7	24	g(z	g(z	PROPN
ejpam-1374	7	25	)	)	PUNCT
ejpam-1374	7	26	,	,	PUNCT
ejpam-1374	7	27	written	write	VERB
ejpam-1374	7	28	f	f	PROPN
ejpam-1374	7	29	≺	≺	NOUN
ejpam-1374	7	30	g	g	PROPN
ejpam-1374	7	31	or	or	CCONJ
ejpam-1374	7	32	f	f	PROPN
ejpam-1374	7	33	(	(	PUNCT
ejpam-1374	7	34	z	z	NOUN
ejpam-1374	7	35	)	)	PUNCT
ejpam-1374	7	36	≺	≺	NOUN
ejpam-1374	7	37	g(z	g(z	PROPN
ejpam-1374	7	38	)	)	PUNCT
ejpam-1374	7	39	(	(	PUNCT
ejpam-1374	7	40	z	z	NOUN
ejpam-1374	7	41	∈	∈	PROPN
ejpam-1374	7	42	u	u	NOUN
ejpam-1374	7	43	)	)	PUNCT
ejpam-1374	7	44	,	,	PUNCT
ejpam-1374	7	45	if	if	SCONJ
ejpam-1374	7	46	there	there	PRON
ejpam-1374	7	47	exists	exist	VERB
ejpam-1374	7	48	a	a	DET
ejpam-1374	7	49	schwarz	schwarz	NOUN
ejpam-1374	7	50	function	function	NOUN
ejpam-1374	7	51	w(z	w(z	PROPN
ejpam-1374	7	52	)	)	PUNCT
ejpam-1374	7	53	in	in	ADP
ejpam-1374	7	54	u	u	NOUN
ejpam-1374	7	55	with	with	ADP
ejpam-1374	7	56	w(0	w(0	PROPN
ejpam-1374	7	57	)	)	PUNCT
ejpam-1374	7	58	=	=	SYM
ejpam-1374	7	59	0	0	NUM
ejpam-1374	7	60	and	and	CCONJ
ejpam-1374	7	61	|w(z)|	|w(z)|	VERB
ejpam-1374	7	62	<	<	X
ejpam-1374	7	63	1	1	NUM
ejpam-1374	7	64	(	(	PUNCT
ejpam-1374	7	65	z	z	NOUN
ejpam-1374	7	66	∈	∈	PROPN
ejpam-1374	7	67	u	u	NOUN
ejpam-1374	7	68	)	)	PUNCT
ejpam-1374	7	69	,	,	PUNCT
ejpam-1374	7	70	such	such	ADJ
ejpam-1374	7	71	that	that	SCONJ
ejpam-1374	7	72	f	f	PROPN
ejpam-1374	7	73	(	(	PUNCT
ejpam-1374	7	74	z	z	NOUN
ejpam-1374	7	75	)	)	PUNCT
ejpam-1374	7	76	=	=	PUNCT
ejpam-1374	7	77	g(w(z	g(w(z	PROPN
ejpam-1374	7	78	)	)	PUNCT
ejpam-1374	7	79	)	)	PUNCT
ejpam-1374	7	80	,	,	PUNCT
ejpam-1374	7	81	(	(	PUNCT
ejpam-1374	7	82	z	z	NOUN
ejpam-1374	7	83	∈	∈	PROPN
ejpam-1374	7	84	u	u	NOUN
ejpam-1374	7	85	)	)	PUNCT
ejpam-1374	7	86	.	.	PUNCT
ejpam-1374	8	1	if	if	SCONJ
ejpam-1374	8	2	g(z	g(z	PROPN
ejpam-1374	8	3	)	)	PUNCT
ejpam-1374	8	4	is	be	AUX
ejpam-1374	8	5	univalent	univalent	ADJ
ejpam-1374	8	6	in	in	ADP
ejpam-1374	8	7	u	u	PROPN
ejpam-1374	8	8	,	,	PUNCT
ejpam-1374	8	9	then	then	ADV
ejpam-1374	8	10	the	the	DET
ejpam-1374	8	11	following	following	ADJ
ejpam-1374	8	12	equivalence	equivalence	NOUN
ejpam-1374	8	13	,	,	PUNCT
ejpam-1374	8	14	(	(	PUNCT
ejpam-1374	8	15	cf	cf	NOUN
ejpam-1374	8	16	.	.	NOUN
ejpam-1374	8	17	,	,	PUNCT
ejpam-1374	8	18	e.g.	e.g.	ADV
ejpam-1374	8	19	,[3	,[3	PUNCT
ejpam-1374	8	20	]	]	PUNCT
ejpam-1374	8	21	and	and	CCONJ
ejpam-1374	9	1	[	[	X
ejpam-1374	9	2	7	7	NUM
ejpam-1374	9	3	]	]	SYM
ejpam-1374	9	4	):	):	PUNCT
ejpam-1374	9	5	f	f	PROPN
ejpam-1374	9	6	(	(	PUNCT
ejpam-1374	9	7	z	z	NOUN
ejpam-1374	9	8	)	)	PUNCT
ejpam-1374	9	9	≺	≺	NOUN
ejpam-1374	9	10	g(z	g(z	PROPN
ejpam-1374	9	11	)	)	PUNCT
ejpam-1374	9	12	(	(	PUNCT
ejpam-1374	9	13	z	z	NOUN
ejpam-1374	9	14	∈	∈	PROPN
ejpam-1374	10	1	u)⇔	u)⇔	PROPN
ejpam-1374	10	2	f	f	X
ejpam-1374	10	3	(	(	PUNCT
ejpam-1374	10	4	0	0	NUM
ejpam-1374	10	5	)	)	PUNCT
ejpam-1374	10	6	=	=	SYM
ejpam-1374	10	7	g(0	g(0	PROPN
ejpam-1374	10	8	)	)	PUNCT
ejpam-1374	10	9	and	and	CCONJ
ejpam-1374	10	10	f	f	PROPN
ejpam-1374	10	11	(	(	PUNCT
ejpam-1374	10	12	u)⊂	u)⊂	CCONJ
ejpam-1374	10	13	g(u	g(u	NOUN
ejpam-1374	10	14	)	)	PUNCT
ejpam-1374	10	15	.	.	PUNCT
ejpam-1374	11	1	for	for	ADP
ejpam-1374	11	2	functions	function	NOUN
ejpam-1374	11	3	f	f	X
ejpam-1374	11	4	(	(	PUNCT
ejpam-1374	11	5	z	z	NOUN
ejpam-1374	11	6	)	)	PUNCT
ejpam-1374	11	7	∈∑p	∈∑p	NOUN
ejpam-1374	11	8	,	,	PUNCT
ejpam-1374	11	9	m	m	AUX
ejpam-1374	11	10	given	give	VERB
ejpam-1374	11	11	by	by	ADP
ejpam-1374	11	12	(	(	PUNCT
ejpam-1374	11	13	1	1	NUM
ejpam-1374	11	14	)	)	PUNCT
ejpam-1374	11	15	and	and	CCONJ
ejpam-1374	11	16	g(z	g(z	PROPN
ejpam-1374	11	17	)	)	PUNCT
ejpam-1374	11	18	∈∑p	∈∑p	NOUN
ejpam-1374	11	19	,	,	PUNCT
ejpam-1374	11	20	m	m	AUX
ejpam-1374	11	21	defined	define	VERB
ejpam-1374	11	22	by	by	ADP
ejpam-1374	11	23	g(z	g(z	PROPN
ejpam-1374	11	24	)	)	PUNCT
ejpam-1374	11	25	=	=	SYM
ejpam-1374	11	26	1	1	NUM
ejpam-1374	11	27	zp	zp	NOUN
ejpam-1374	11	28	+	+	CCONJ
ejpam-1374	11	29	∞	∞	NUM
ejpam-1374	11	30	∑	∑	PUNCT
ejpam-1374	11	31	k	k	X
ejpam-1374	11	32	=	=	NOUN
ejpam-1374	11	33	m	m	VERB
ejpam-1374	11	34	bkzk	bkzk	NOUN
ejpam-1374	11	35	(	(	PUNCT
ejpam-1374	11	36	m	m	NOUN
ejpam-1374	11	37	>	>	X
ejpam-1374	11	38	−p	−p	NOUN
ejpam-1374	11	39	,	,	PUNCT
ejpam-1374	11	40	p	p	PROPN
ejpam-1374	11	41	∈	∈	PROPN
ejpam-1374	11	42	n	n	CCONJ
ejpam-1374	11	43	)	)	PUNCT
ejpam-1374	11	44	,	,	PUNCT
ejpam-1374	11	45	(	(	PUNCT
ejpam-1374	11	46	2	2	X
ejpam-1374	11	47	)	)	PUNCT
ejpam-1374	11	48	∗corresponding	∗corresponde	VERB
ejpam-1374	11	49	author	author	NOUN
ejpam-1374	11	50	.	.	PUNCT
ejpam-1374	12	1	email	email	NOUN
ejpam-1374	12	2	addresses	address	NOUN
ejpam-1374	12	3	:	:	PUNCT
ejpam-1374	12	4	mkaouf127	mkaouf127	PROPN
ejpam-1374	12	5	�	�	PROPN
ejpam-1374	12	6	yahoo	yahoo	PROPN
ejpam-1374	12	7	.	.	PUNCT
ejpam-1374	13	1	om	om	PROPN
ejpam-1374	13	2	(	(	PUNCT
ejpam-1374	13	3	m.	m.	PROPN
ejpam-1374	13	4	aouf	aouf	PROPN
ejpam-1374	13	5	)	)	PUNCT
ejpam-1374	13	6	,	,	PUNCT
ejpam-1374	13	7	shamandy16	shamandy16	NOUN
ejpam-1374	13	8	�	�	NOUN
ejpam-1374	13	9	hotmail	hotmail	NOUN
ejpam-1374	13	10	.	.	PUNCT
ejpam-1374	14	1	om	om	PROPN
ejpam-1374	14	2	(	(	PUNCT
ejpam-1374	14	3	a.	a.	PROPN
ejpam-1374	14	4	shamandy),adelaeg254	shamandy),adelaeg254	PROPN
ejpam-1374	14	5	�	�	PROPN
ejpam-1374	14	6	yahoo	yahoo	PROPN
ejpam-1374	14	7	.	.	PUNCT
ejpam-1374	15	1	om	om	PROPN
ejpam-1374	15	2	(	(	PUNCT
ejpam-1374	15	3	a.	a.	PROPN
ejpam-1374	15	4	mostafa	mostafa	PROPN
ejpam-1374	15	5	)	)	PUNCT
ejpam-1374	15	6	,	,	PUNCT
ejpam-1374	15	7	fatma_elemam	fatma_elemam	PROPN
ejpam-1374	15	8	�	�	NOUN
ejpam-1374	15	9	yahoo	yahoo	PROPN
ejpam-1374	15	10	.	.	PUNCT
ejpam-1374	16	1	om	om	PROPN
ejpam-1374	16	2	(	(	PUNCT
ejpam-1374	16	3	f.	f.	PROPN
ejpam-1374	16	4	el	el	PROPN
ejpam-1374	16	5	-	-	PUNCT
ejpam-1374	16	6	emam	emam	PROPN
ejpam-1374	16	7	)	)	PUNCT
ejpam-1374	16	8	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1374	17	1	435	435	NUM
ejpam-1374	17	2	c	c	X
ejpam-1374	17	3	©	©	NOUN
ejpam-1374	17	4	2011	2011	NUM
ejpam-1374	17	5	ejpam	ejpam	NOUN
ejpam-1374	17	6	all	all	DET
ejpam-1374	17	7	rights	right	NOUN
ejpam-1374	17	8	reserved	reserve	VERB
ejpam-1374	17	9	.	.	PUNCT
ejpam-1374	18	1	m.	m.	PROPN
ejpam-1374	18	2	aouf	aouf	PROPN
ejpam-1374	18	3	,	,	PUNCT
ejpam-1374	18	4	a.	a.	NOUN
ejpam-1374	18	5	shamandy	shamandy	NOUN
ejpam-1374	18	6	,	,	PUNCT
ejpam-1374	18	7	a.	a.	PROPN
ejpam-1374	18	8	mostafa	mostafa	PROPN
ejpam-1374	18	9	,	,	PUNCT
ejpam-1374	18	10	f.	f.	PROPN
ejpam-1374	18	11	el	el	PROPN
ejpam-1374	18	12	-	-	PUNCT
ejpam-1374	18	13	emam	emam	PROPN
ejpam-1374	18	14	/	/	SYM
ejpam-1374	18	15	eur	eur	PROPN
ejpam-1374	18	16	.	.	PUNCT
ejpam-1374	19	1	j.	j.	PROPN
ejpam-1374	19	2	pure	pure	PROPN
ejpam-1374	19	3	appl	appl	PROPN
ejpam-1374	19	4	.	.	PROPN
ejpam-1374	19	5	math	math	PROPN
ejpam-1374	19	6	,	,	PUNCT
ejpam-1374	19	7	4	4	NUM
ejpam-1374	19	8	(	(	PUNCT
ejpam-1374	19	9	2011	2011	NUM
ejpam-1374	19	10	)	)	PUNCT
ejpam-1374	19	11	,	,	PUNCT
ejpam-1374	19	12	435	435	NUM
ejpam-1374	19	13	-	-	SYM
ejpam-1374	19	14	447	447	NUM
ejpam-1374	19	15	436	436	NUM
ejpam-1374	19	16	the	the	DET
ejpam-1374	19	17	hadamard	hadamard	ADJ
ejpam-1374	19	18	product	product	NOUN
ejpam-1374	19	19	(	(	PUNCT
ejpam-1374	19	20	or	or	CCONJ
ejpam-1374	19	21	convolution	convolution	NOUN
ejpam-1374	19	22	)	)	PUNCT
ejpam-1374	19	23	of	of	ADP
ejpam-1374	19	24	f	f	PROPN
ejpam-1374	19	25	(	(	PUNCT
ejpam-1374	19	26	z	z	NOUN
ejpam-1374	19	27	)	)	PUNCT
ejpam-1374	19	28	and	and	CCONJ
ejpam-1374	19	29	g(z	g(z	PROPN
ejpam-1374	19	30	)	)	PUNCT
ejpam-1374	19	31	is	be	AUX
ejpam-1374	19	32	given	give	VERB
ejpam-1374	19	33	by	by	ADP
ejpam-1374	19	34	(	(	PUNCT
ejpam-1374	19	35	f	f	PROPN
ejpam-1374	19	36	∗	∗	PROPN
ejpam-1374	19	37	g)(z	g)(z	PUNCT
ejpam-1374	19	38	)	)	PUNCT
ejpam-1374	19	39	=	=	SYM
ejpam-1374	19	40	1	1	NUM
ejpam-1374	19	41	zp	zp	NOUN
ejpam-1374	19	42	+	+	CCONJ
ejpam-1374	19	43	∞	∞	NUM
ejpam-1374	19	44	∑	∑	PUNCT
ejpam-1374	19	45	k	k	X
ejpam-1374	19	46	=	=	PROPN
ejpam-1374	19	47	m	m	PROPN
ejpam-1374	19	48	ak	ak	NOUN
ejpam-1374	19	49	bkzk	bkzk	NOUN
ejpam-1374	19	50	=	=	PUNCT
ejpam-1374	19	51	(	(	PUNCT
ejpam-1374	19	52	g	g	PROPN
ejpam-1374	19	53	∗	∗	X
ejpam-1374	19	54	f	f	PROPN
ejpam-1374	19	55	)	)	PUNCT
ejpam-1374	19	56	(	(	PUNCT
ejpam-1374	19	57	z	z	NOUN
ejpam-1374	19	58	)	)	PUNCT
ejpam-1374	19	59	.	.	PUNCT
ejpam-1374	20	1	(	(	PUNCT
ejpam-1374	20	2	3	3	X
ejpam-1374	20	3	)	)	PUNCT
ejpam-1374	20	4	we	we	PRON
ejpam-1374	20	5	now	now	ADV
ejpam-1374	20	6	define	define	VERB
ejpam-1374	20	7	the	the	DET
ejpam-1374	20	8	integral	integral	ADJ
ejpam-1374	20	9	operators	operator	NOUN
ejpam-1374	20	10	pα	pα	VERB
ejpam-1374	20	11	β	β	PROPN
ejpam-1374	20	12	,	,	PUNCT
ejpam-1374	20	13	p	p	X
ejpam-1374	20	14	,	,	PUNCT
ejpam-1374	20	15	qα	qα	PROPN
ejpam-1374	20	16	β	β	PROPN
ejpam-1374	20	17	,	,	PUNCT
ejpam-1374	20	18	p	p	X
ejpam-1374	20	19	:	:	PUNCT
ejpam-1374	20	20	∑	∑	PROPN
ejpam-1374	20	21	p	p	X
ejpam-1374	20	22	,	,	PUNCT
ejpam-1374	20	23	m→	m→	NOUN
ejpam-1374	20	24	∑	∑	NOUN
ejpam-1374	20	25	p	p	X
ejpam-1374	20	26	,	,	PUNCT
ejpam-1374	20	27	m	m	VERB
ejpam-1374	20	28	as	as	SCONJ
ejpam-1374	20	29	follows	follow	VERB
ejpam-1374	20	30	:	:	PUNCT
ejpam-1374	20	31	pαβ	pαβ	NOUN
ejpam-1374	20	32	,	,	PUNCT
ejpam-1374	20	33	p	p	PROPN
ejpam-1374	20	34	f	f	X
ejpam-1374	20	35	(	(	PUNCT
ejpam-1374	20	36	z	z	NOUN
ejpam-1374	20	37	)	)	PUNCT
ejpam-1374	20	38	=	=	SYM
ejpam-1374	20	39	βα	βα	PROPN
ejpam-1374	20	40	γ(α	γ(α	PROPN
ejpam-1374	20	41	)	)	PUNCT
ejpam-1374	20	42	1	1	NUM
ejpam-1374	20	43	zβ+p	zβ+p	NUM
ejpam-1374	20	44	z	z	SYM
ejpam-1374	20	45	∫	∫	PROPN
ejpam-1374	20	46	0	0	PROPN
ejpam-1374	20	47	tβ+p−1	tβ+p−1	PROPN
ejpam-1374	20	48	�	�	PROPN
ejpam-1374	20	49	log	log	PROPN
ejpam-1374	20	50	z	z	PROPN
ejpam-1374	20	51	t	t	PROPN
ejpam-1374	20	52	�	�	PROPN
ejpam-1374	20	53	α−1	α−1	PROPN
ejpam-1374	20	54	f	f	PROPN
ejpam-1374	20	55	(	(	PUNCT
ejpam-1374	20	56	t)d	t)d	PROPN
ejpam-1374	20	57	t	t	X
ejpam-1374	20	58	=	=	SYM
ejpam-1374	20	59	1	1	NUM
ejpam-1374	20	60	zp	zp	NOUN
ejpam-1374	20	61	+	+	CCONJ
ejpam-1374	20	62	∞	∞	NUM
ejpam-1374	20	63	∑	∑	PUNCT
ejpam-1374	20	64	k	k	X
ejpam-1374	20	65	=	=	PROPN
ejpam-1374	20	66	m	m	PROPN
ejpam-1374	20	67	�	�	PROPN
ejpam-1374	20	68	β	β	X
ejpam-1374	20	69	k+	k+	X
ejpam-1374	20	70	β	β	PROPN
ejpam-1374	21	1	+	+	CCONJ
ejpam-1374	21	2	p	p	PROPN
ejpam-1374	21	3	�	�	PROPN
ejpam-1374	21	4	α	α	NOUN
ejpam-1374	21	5	akzk	akzk	NOUN
ejpam-1374	21	6	=	=	SYM
ejpam-1374	21	7	1	1	NUM
ejpam-1374	21	8	zp	zp	NOUN
ejpam-1374	21	9	+	+	CCONJ
ejpam-1374	21	10	∞	∞	NUM
ejpam-1374	21	11	∑	∑	PUNCT
ejpam-1374	21	12	k	k	X
ejpam-1374	21	13	=	=	PROPN
ejpam-1374	21	14	m	m	PROPN
ejpam-1374	21	15	�	�	PROPN
ejpam-1374	21	16	β	β	X
ejpam-1374	21	17	k+	k+	X
ejpam-1374	21	18	β	β	PROPN
ejpam-1374	21	19	+	+	CCONJ
ejpam-1374	21	20	p	p	PROPN
ejpam-1374	21	21	�	�	PROPN
ejpam-1374	21	22	α	α	NOUN
ejpam-1374	21	23	zk	zk	PROPN
ejpam-1374	21	24	!	!	PUNCT
ejpam-1374	22	1	∗	∗	NOUN
ejpam-1374	22	2	f	f	PROPN
ejpam-1374	22	3	(	(	PUNCT
ejpam-1374	22	4	z	z	NOUN
ejpam-1374	22	5	)	)	PUNCT
ejpam-1374	22	6	(	(	PUNCT
ejpam-1374	22	7	4	4	NUM
ejpam-1374	22	8	)	)	PUNCT
ejpam-1374	22	9	(	(	PUNCT
ejpam-1374	22	10	α	α	X
ejpam-1374	22	11	,	,	PUNCT
ejpam-1374	22	12	β	β	X
ejpam-1374	22	13	>	>	X
ejpam-1374	22	14	0	0	NUM
ejpam-1374	22	15	;	;	PUNCT
ejpam-1374	22	16	p	p	PROPN
ejpam-1374	22	17	∈	∈	PROPN
ejpam-1374	22	18	n	n	CCONJ
ejpam-1374	22	19	;	;	PUNCT
ejpam-1374	22	20	f	f	PROPN
ejpam-1374	22	21	∈∑p	∈∑p	PROPN
ejpam-1374	22	22	,	,	PUNCT
ejpam-1374	22	23	m	m	NOUN
ejpam-1374	22	24	)	)	PUNCT
ejpam-1374	22	25	,	,	PUNCT
ejpam-1374	22	26	and	and	CCONJ
ejpam-1374	22	27	p0	p0	PROPN
ejpam-1374	22	28	β	β	PROPN
ejpam-1374	22	29	,	,	PUNCT
ejpam-1374	22	30	p	p	PROPN
ejpam-1374	22	31	f	f	X
ejpam-1374	22	32	(	(	PUNCT
ejpam-1374	22	33	z	z	NOUN
ejpam-1374	22	34	)	)	PUNCT
ejpam-1374	22	35	=	=	SYM
ejpam-1374	23	1	p0	p0	NOUN
ejpam-1374	23	2	f	f	X
ejpam-1374	23	3	(	(	PUNCT
ejpam-1374	23	4	z	z	NOUN
ejpam-1374	23	5	)	)	PUNCT
ejpam-1374	23	6	=	=	SYM
ejpam-1374	24	1	f	f	X
ejpam-1374	24	2	(	(	PUNCT
ejpam-1374	24	3	z	z	NOUN
ejpam-1374	24	4	)	)	PUNCT
ejpam-1374	24	5	(	(	PUNCT
ejpam-1374	24	6	α=	α=	NOUN
ejpam-1374	24	7	0;β	0;β	NOUN
ejpam-1374	24	8	>	>	X
ejpam-1374	24	9	0	0	NUM
ejpam-1374	24	10	)	)	PUNCT
ejpam-1374	24	11	,	,	PUNCT
ejpam-1374	24	12	qαβ	qαβ	INTJ
ejpam-1374	24	13	,	,	PUNCT
ejpam-1374	24	14	p	p	NOUN
ejpam-1374	24	15	f	f	X
ejpam-1374	24	16	(	(	PUNCT
ejpam-1374	24	17	z	z	NOUN
ejpam-1374	24	18	)	)	PUNCT
ejpam-1374	24	19	=	=	PUNCT
ejpam-1374	25	1	γ(β	γ(β	PROPN
ejpam-1374	25	2	+	+	NOUN
ejpam-1374	25	3	α	α	NOUN
ejpam-1374	25	4	)	)	PUNCT
ejpam-1374	25	5	γ(β)γ(α	γ(β)γ(α	ADJ
ejpam-1374	25	6	)	)	PUNCT
ejpam-1374	25	7	1	1	NUM
ejpam-1374	25	8	zβ+p	zβ+p	NUM
ejpam-1374	25	9	z	z	SYM
ejpam-1374	25	10	∫	∫	PROPN
ejpam-1374	25	11	0	0	PROPN
ejpam-1374	25	12	tβ+p−1	tβ+p−1	PROPN
ejpam-1374	25	13	�	�	PROPN
ejpam-1374	25	14	1−	1−	NUM
ejpam-1374	25	15	t	t	PROPN
ejpam-1374	25	16	z	z	PROPN
ejpam-1374	25	17	�	�	PROPN
ejpam-1374	25	18	α−1	α−1	PROPN
ejpam-1374	25	19	f	f	PROPN
ejpam-1374	25	20	(	(	PUNCT
ejpam-1374	25	21	t)d	t)d	PROPN
ejpam-1374	25	22	t	t	X
ejpam-1374	25	23	=	=	SYM
ejpam-1374	25	24	1	1	NUM
ejpam-1374	25	25	zp	zp	NOUN
ejpam-1374	25	26	+	+	CCONJ
ejpam-1374	25	27	γ(β	γ(β	PROPN
ejpam-1374	25	28	+	+	ADJ
ejpam-1374	25	29	α	α	NOUN
ejpam-1374	25	30	)	)	PUNCT
ejpam-1374	25	31	γ(β	γ(β	PROPN
ejpam-1374	25	32	)	)	PUNCT
ejpam-1374	25	33	∞	∞	PROPN
ejpam-1374	25	34	∑	∑	PUNCT
ejpam-1374	25	35	k	k	X
ejpam-1374	25	36	=	=	NOUN
ejpam-1374	25	37	m	m	NOUN
ejpam-1374	25	38	γ(k+	γ(k+	NOUN
ejpam-1374	25	39	β	β	X
ejpam-1374	25	40	+	+	X
ejpam-1374	25	41	p	p	X
ejpam-1374	25	42	)	)	PUNCT
ejpam-1374	25	43	γ(k+	γ(k+	NOUN
ejpam-1374	25	44	β	β	X
ejpam-1374	26	1	+	+	NOUN
ejpam-1374	26	2	α+	α+	X
ejpam-1374	26	3	p	p	X
ejpam-1374	26	4	)	)	PUNCT
ejpam-1374	26	5	ak	ak	PROPN
ejpam-1374	26	6	zk	zk	PROPN
ejpam-1374	26	7	=	=	SYM
ejpam-1374	26	8	1	1	NUM
ejpam-1374	26	9	zp	zp	NOUN
ejpam-1374	26	10	+	+	CCONJ
ejpam-1374	26	11	γ(β	γ(β	PROPN
ejpam-1374	26	12	+	+	ADJ
ejpam-1374	26	13	α	α	NOUN
ejpam-1374	26	14	)	)	PUNCT
ejpam-1374	26	15	γ(β	γ(β	PROPN
ejpam-1374	26	16	)	)	PUNCT
ejpam-1374	26	17	∞	∞	PROPN
ejpam-1374	26	18	∑	∑	PUNCT
ejpam-1374	26	19	k	k	X
ejpam-1374	26	20	=	=	NOUN
ejpam-1374	26	21	m	m	NOUN
ejpam-1374	26	22	γ(k+	γ(k+	NOUN
ejpam-1374	26	23	β	β	X
ejpam-1374	26	24	+	+	X
ejpam-1374	26	25	p	p	X
ejpam-1374	26	26	)	)	PUNCT
ejpam-1374	26	27	γ(k+	γ(k+	NOUN
ejpam-1374	26	28	β	β	X
ejpam-1374	27	1	+	+	NOUN
ejpam-1374	27	2	α+	α+	X
ejpam-1374	27	3	p	p	X
ejpam-1374	27	4	)	)	PUNCT
ejpam-1374	27	5	zk	zk	PROPN
ejpam-1374	27	6	!	!	PUNCT
ejpam-1374	28	1	∗	∗	NOUN
ejpam-1374	28	2	f	f	PROPN
ejpam-1374	28	3	(	(	PUNCT
ejpam-1374	28	4	z	z	NOUN
ejpam-1374	28	5	)	)	PUNCT
ejpam-1374	28	6	(	(	PUNCT
ejpam-1374	28	7	5	5	NUM
ejpam-1374	28	8	)	)	PUNCT
ejpam-1374	28	9	(	(	PUNCT
ejpam-1374	28	10	α	α	X
ejpam-1374	28	11	>	>	X
ejpam-1374	28	12	0;β	0;β	X
ejpam-1374	28	13	>	>	PUNCT
ejpam-1374	28	14	−1	−1	NOUN
ejpam-1374	28	15	;	;	PUNCT
ejpam-1374	28	16	p	p	PROPN
ejpam-1374	28	17	∈	∈	PROPN
ejpam-1374	28	18	n	n	CCONJ
ejpam-1374	28	19	;	;	PUNCT
ejpam-1374	28	20	f	f	PROPN
ejpam-1374	28	21	∈∑p	∈∑p	PROPN
ejpam-1374	28	22	,	,	PUNCT
ejpam-1374	28	23	m	m	NOUN
ejpam-1374	28	24	)	)	PUNCT
ejpam-1374	28	25	,	,	PUNCT
ejpam-1374	28	26	and	and	CCONJ
ejpam-1374	28	27	q0	q0	PROPN
ejpam-1374	28	28	β	β	X
ejpam-1374	28	29	,	,	PUNCT
ejpam-1374	28	30	p	p	PROPN
ejpam-1374	28	31	f	f	X
ejpam-1374	28	32	(	(	PUNCT
ejpam-1374	28	33	z	z	NOUN
ejpam-1374	28	34	)	)	PUNCT
ejpam-1374	28	35	=	=	SYM
ejpam-1374	29	1	q0	q0	PROPN
ejpam-1374	29	2	f	f	X
ejpam-1374	29	3	(	(	PUNCT
ejpam-1374	29	4	z	z	NOUN
ejpam-1374	29	5	)	)	PUNCT
ejpam-1374	29	6	=	=	SYM
ejpam-1374	30	1	f	f	X
ejpam-1374	30	2	(	(	PUNCT
ejpam-1374	30	3	z	z	NOUN
ejpam-1374	30	4	)	)	PUNCT
ejpam-1374	30	5	(	(	PUNCT
ejpam-1374	30	6	α=	α=	NOUN
ejpam-1374	30	7	0;β	0;β	NOUN
ejpam-1374	30	8	>	>	X
ejpam-1374	30	9	−1	−1	NOUN
ejpam-1374	30	10	)	)	PUNCT
ejpam-1374	30	11	,	,	PUNCT
ejpam-1374	30	12	jβ	jβ	PROPN
ejpam-1374	30	13	,	,	PUNCT
ejpam-1374	30	14	p	p	PROPN
ejpam-1374	30	15	f	f	X
ejpam-1374	30	16	(	(	PUNCT
ejpam-1374	30	17	z	z	NOUN
ejpam-1374	30	18	)	)	PUNCT
ejpam-1374	30	19	=	=	PUNCT
ejpam-1374	31	1	β	β	X
ejpam-1374	31	2	zβ+p	zβ+p	PROPN
ejpam-1374	31	3	z	z	SYM
ejpam-1374	31	4	∫	∫	PROPN
ejpam-1374	31	5	0	0	PROPN
ejpam-1374	32	1	tβ+p−1	tβ+p−1	PROPN
ejpam-1374	32	2	f	f	PROPN
ejpam-1374	32	3	(	(	PUNCT
ejpam-1374	32	4	t)d	t)d	PROPN
ejpam-1374	32	5	t	t	X
ejpam-1374	32	6	=	=	SYM
ejpam-1374	32	7	1	1	NUM
ejpam-1374	32	8	zp	zp	NOUN
ejpam-1374	32	9	+	+	CCONJ
ejpam-1374	32	10	∞	∞	NUM
ejpam-1374	32	11	∑	∑	PUNCT
ejpam-1374	32	12	k	k	X
ejpam-1374	32	13	=	=	PROPN
ejpam-1374	32	14	m	m	NOUN
ejpam-1374	32	15	β	β	X
ejpam-1374	32	16	k+	k+	NOUN
ejpam-1374	32	17	β	β	PROPN
ejpam-1374	33	1	+	+	X
ejpam-1374	33	2	p	p	PROPN
ejpam-1374	33	3	ak	ak	PROPN
ejpam-1374	33	4	zk	zk	X
ejpam-1374	33	5	=	=	SYM
ejpam-1374	33	6	1	1	NUM
ejpam-1374	33	7	zp	zp	NOUN
ejpam-1374	33	8	+	+	CCONJ
ejpam-1374	33	9	∞	∞	NUM
ejpam-1374	33	10	∑	∑	PUNCT
ejpam-1374	33	11	k	k	X
ejpam-1374	33	12	=	=	PROPN
ejpam-1374	33	13	m	m	NOUN
ejpam-1374	33	14	β	β	X
ejpam-1374	33	15	k+	k+	NOUN
ejpam-1374	33	16	β	β	PROPN
ejpam-1374	34	1	+	+	X
ejpam-1374	34	2	p	p	X
ejpam-1374	34	3	zk	zk	PROPN
ejpam-1374	34	4	!	!	PUNCT
ejpam-1374	35	1	∗	∗	NOUN
ejpam-1374	35	2	f	f	PROPN
ejpam-1374	35	3	(	(	PUNCT
ejpam-1374	35	4	z	z	NOUN
ejpam-1374	35	5	)	)	PUNCT
ejpam-1374	35	6	(	(	PUNCT
ejpam-1374	35	7	6	6	NUM
ejpam-1374	35	8	)	)	PUNCT
ejpam-1374	35	9	(	(	PUNCT
ejpam-1374	35	10	7	7	X
ejpam-1374	35	11	)	)	PUNCT
ejpam-1374	35	12	where	where	SCONJ
ejpam-1374	35	13	γ(α	γ(α	NOUN
ejpam-1374	35	14	)	)	PUNCT
ejpam-1374	35	15	is	be	AUX
ejpam-1374	35	16	the	the	DET
ejpam-1374	35	17	familiar	familiar	ADJ
ejpam-1374	35	18	gamma	gamma	NOUN
ejpam-1374	35	19	function	function	NOUN
ejpam-1374	35	20	.	.	PUNCT
ejpam-1374	36	1	we	we	PRON
ejpam-1374	36	2	write	write	VERB
ejpam-1374	36	3	pα1,p	pα1,p	PROPN
ejpam-1374	36	4	f	f	PROPN
ejpam-1374	36	5	(	(	PUNCT
ejpam-1374	36	6	z	z	NOUN
ejpam-1374	36	7	)	)	PUNCT
ejpam-1374	37	1	=	=	SYM
ejpam-1374	37	2	pαp	pαp	NOUN
ejpam-1374	37	3	f	f	PROPN
ejpam-1374	37	4	(	(	PUNCT
ejpam-1374	37	5	z	z	NOUN
ejpam-1374	37	6	)	)	PUNCT
ejpam-1374	37	7	and	and	CCONJ
ejpam-1374	37	8	pα	pα	VERB
ejpam-1374	37	9	β	β	X
ejpam-1374	37	10	,	,	PUNCT
ejpam-1374	37	11	1	1	NUM
ejpam-1374	37	12	f	f	X
ejpam-1374	37	13	(	(	PUNCT
ejpam-1374	37	14	z	z	NOUN
ejpam-1374	37	15	)	)	PUNCT
ejpam-1374	37	16	=	=	VERB
ejpam-1374	37	17	pα	pα	NOUN
ejpam-1374	37	18	β	β	X
ejpam-1374	37	19	f	f	X
ejpam-1374	37	20	(	(	PUNCT
ejpam-1374	37	21	z	z	NOUN
ejpam-1374	37	22	)	)	PUNCT
ejpam-1374	37	23	,	,	PUNCT
ejpam-1374	37	24	where	where	SCONJ
ejpam-1374	37	25	pαp	pαp	PROPN
ejpam-1374	37	26	f	f	X
ejpam-1374	37	27	(	(	PUNCT
ejpam-1374	37	28	z),qα	z),qα	X
ejpam-1374	37	29	β	β	X
ejpam-1374	37	30	,	,	PUNCT
ejpam-1374	37	31	p	p	X
ejpam-1374	37	32	:	:	PUNCT
ejpam-1374	37	33	∑	∑	INTJ
ejpam-1374	37	34	p,0	p,0	PROPN
ejpam-1374	37	35	→	→	PUNCT
ejpam-1374	37	36	∑	∑	VERB
ejpam-1374	37	37	p,0	p,0	PROPN
ejpam-1374	37	38	were	be	AUX
ejpam-1374	37	39	investigated	investigate	VERB
ejpam-1374	37	40	by	by	ADP
ejpam-1374	37	41	aqlan	aqlan	PROPN
ejpam-1374	37	42	et	et	PROPN
ejpam-1374	37	43	al	al	PROPN
ejpam-1374	37	44	.	.	PUNCT
ejpam-1374	38	1	[	[	X
ejpam-1374	38	2	2	2	NUM
ejpam-1374	38	3	]	]	PUNCT
ejpam-1374	38	4	,	,	PUNCT
ejpam-1374	38	5	pα	pα	INTJ
ejpam-1374	38	6	β	β	X
ejpam-1374	38	7	f	f	X
ejpam-1374	38	8	(	(	PUNCT
ejpam-1374	38	9	z	z	NOUN
ejpam-1374	38	10	)	)	PUNCT
ejpam-1374	38	11	:	:	PUNCT
ejpam-1374	39	1	∑	∑	PUNCT
ejpam-1374	39	2	1,1→	1,1→	X
ejpam-1374	39	3	∑	∑	SYM
ejpam-1374	39	4	1,1	1,1	NUM
ejpam-1374	39	5	was	be	AUX
ejpam-1374	39	6	investigated	investigate	VERB
ejpam-1374	39	7	by	by	ADP
ejpam-1374	39	8	lashin	lashin	NOUN
ejpam-1374	40	1	[	[	X
ejpam-1374	40	2	6]andjβ	6]andjβ	NOUN
ejpam-1374	40	3	,	,	PUNCT
ejpam-1374	40	4	p	p	X
ejpam-1374	40	5	:	:	PUNCT
ejpam-1374	40	6	∑	∑	PROPN
ejpam-1374	40	7	p	p	X
ejpam-1374	40	8	,	,	PUNCT
ejpam-1374	40	9	m→	m→	NOUN
ejpam-1374	40	10	∑	∑	NOUN
ejpam-1374	40	11	p	p	X
ejpam-1374	40	12	,	,	PUNCT
ejpam-1374	40	13	m	m	AUX
ejpam-1374	40	14	was	be	AUX
ejpam-1374	40	15	investigated	investigate	VERB
ejpam-1374	40	16	m.	m.	NOUN
ejpam-1374	40	17	aouf	aouf	PROPN
ejpam-1374	40	18	,	,	PUNCT
ejpam-1374	40	19	a.	a.	NOUN
ejpam-1374	40	20	shamandy	shamandy	NOUN
ejpam-1374	40	21	,	,	PUNCT
ejpam-1374	40	22	a.	a.	PROPN
ejpam-1374	40	23	mostafa	mostafa	PROPN
ejpam-1374	40	24	,	,	PUNCT
ejpam-1374	40	25	f.	f.	PROPN
ejpam-1374	40	26	el	el	PROPN
ejpam-1374	40	27	-	-	PUNCT
ejpam-1374	40	28	emam	emam	PROPN
ejpam-1374	40	29	/	/	SYM
ejpam-1374	40	30	eur	eur	PROPN
ejpam-1374	40	31	.	.	PUNCT
ejpam-1374	41	1	j.	j.	PROPN
ejpam-1374	41	2	pure	pure	PROPN
ejpam-1374	41	3	appl	appl	PROPN
ejpam-1374	41	4	.	.	PROPN
ejpam-1374	41	5	math	math	PROPN
ejpam-1374	41	6	,	,	PUNCT
ejpam-1374	41	7	4	4	NUM
ejpam-1374	41	8	(	(	PUNCT
ejpam-1374	41	9	2011	2011	NUM
ejpam-1374	41	10	)	)	PUNCT
ejpam-1374	41	11	,	,	PUNCT
ejpam-1374	41	12	435	435	NUM
ejpam-1374	41	13	-	-	SYM
ejpam-1374	41	14	447	447	NUM
ejpam-1374	41	15	437	437	NUM
ejpam-1374	41	16	by	by	ADP
ejpam-1374	41	17	many	many	ADJ
ejpam-1374	41	18	authors	author	NOUN
ejpam-1374	41	19	(	(	PUNCT
ejpam-1374	41	20	see	see	VERB
ejpam-1374	41	21	for	for	ADP
ejpam-1374	41	22	example	example	NOUN
ejpam-1374	41	23	[	[	X
ejpam-1374	41	24	1	1	NUM
ejpam-1374	41	25	]	]	PUNCT
ejpam-1374	41	26	,	,	PUNCT
ejpam-1374	42	1	[	[	X
ejpam-1374	42	2	5	5	NUM
ejpam-1374	42	3	]	]	PUNCT
ejpam-1374	42	4	,	,	PUNCT
ejpam-1374	42	5	[	[	X
ejpam-1374	42	6	13	13	NUM
ejpam-1374	42	7	]	]	PUNCT
ejpam-1374	42	8	and	and	CCONJ
ejpam-1374	42	9	[	[	X
ejpam-1374	42	10	16	16	NUM
ejpam-1374	42	11	]	]	PUNCT
ejpam-1374	42	12	)	)	PUNCT
ejpam-1374	42	13	.	.	PUNCT
ejpam-1374	43	1	from	from	ADP
ejpam-1374	43	2	(	(	PUNCT
ejpam-1374	43	3	4	4	NUM
ejpam-1374	43	4	)	)	PUNCT
ejpam-1374	43	5	,	,	PUNCT
ejpam-1374	43	6	(	(	PUNCT
ejpam-1374	43	7	5	5	NUM
ejpam-1374	43	8	)	)	PUNCT
ejpam-1374	43	9	and	and	CCONJ
ejpam-1374	43	10	(	(	PUNCT
ejpam-1374	43	11	6	6	NUM
ejpam-1374	43	12	)	)	PUNCT
ejpam-1374	43	13	,	,	PUNCT
ejpam-1374	43	14	we	we	PRON
ejpam-1374	43	15	can	can	AUX
ejpam-1374	43	16	see	see	VERB
ejpam-1374	43	17	that	that	SCONJ
ejpam-1374	43	18	jβ	jβ	PROPN
ejpam-1374	43	19	,	,	PUNCT
ejpam-1374	43	20	p	p	PROPN
ejpam-1374	43	21	f	f	X
ejpam-1374	43	22	(	(	PUNCT
ejpam-1374	43	23	z	z	NOUN
ejpam-1374	43	24	)	)	PUNCT
ejpam-1374	43	25	=	=	SYM
ejpam-1374	44	1	p1	p1	PROPN
ejpam-1374	44	2	β	β	X
ejpam-1374	44	3	,	,	PUNCT
ejpam-1374	44	4	p	p	PROPN
ejpam-1374	44	5	f	f	X
ejpam-1374	44	6	(	(	PUNCT
ejpam-1374	44	7	z	z	NOUN
ejpam-1374	44	8	)	)	PUNCT
ejpam-1374	44	9	=	=	SYM
ejpam-1374	44	10	q1	q1	PROPN
ejpam-1374	44	11	β	β	NOUN
ejpam-1374	44	12	,	,	PUNCT
ejpam-1374	44	13	p	p	PROPN
ejpam-1374	44	14	f	f	X
ejpam-1374	44	15	(	(	PUNCT
ejpam-1374	44	16	z	z	NOUN
ejpam-1374	44	17	)	)	PUNCT
ejpam-1374	44	18	(	(	PUNCT
ejpam-1374	44	19	β	β	X
ejpam-1374	44	20	>	>	X
ejpam-1374	44	21	0	0	NUM
ejpam-1374	44	22	)	)	PUNCT
ejpam-1374	44	23	,	,	PUNCT
ejpam-1374	44	24	z	z	PROPN
ejpam-1374	44	25	�	�	PROPN
ejpam-1374	44	26	pαβ	pαβ	PROPN
ejpam-1374	44	27	,	,	PUNCT
ejpam-1374	44	28	p	p	PROPN
ejpam-1374	44	29	f	f	X
ejpam-1374	44	30	(	(	PUNCT
ejpam-1374	44	31	z	z	NOUN
ejpam-1374	44	32	)	)	PUNCT
ejpam-1374	44	33	�	�	NOUN
ejpam-1374	44	34	′	′	NOUN
ejpam-1374	44	35	=	=	PUNCT
ejpam-1374	45	1	βpα−1	βpα−1	NOUN
ejpam-1374	45	2	β	β	X
ejpam-1374	45	3	,	,	PUNCT
ejpam-1374	45	4	p	p	PROPN
ejpam-1374	45	5	f	f	X
ejpam-1374	45	6	(	(	PUNCT
ejpam-1374	45	7	z)−	z)−	PROPN
ejpam-1374	45	8	(	(	PUNCT
ejpam-1374	45	9	β	β	X
ejpam-1374	45	10	+	+	CCONJ
ejpam-1374	45	11	p)pαβ	p)pαβ	PROPN
ejpam-1374	45	12	,	,	PUNCT
ejpam-1374	45	13	p	p	NOUN
ejpam-1374	45	14	f	f	X
ejpam-1374	45	15	(	(	PUNCT
ejpam-1374	45	16	z	z	NOUN
ejpam-1374	45	17	)	)	PUNCT
ejpam-1374	45	18	(	(	PUNCT
ejpam-1374	45	19	α	α	PRON
ejpam-1374	45	20	≥	≥	NOUN
ejpam-1374	45	21	0;β	0;β	X
ejpam-1374	45	22	>	>	X
ejpam-1374	45	23	0	0	NUM
ejpam-1374	45	24	)	)	PUNCT
ejpam-1374	45	25	(	(	PUNCT
ejpam-1374	45	26	8)	8)	NUM
ejpam-1374	45	27	and	and	CCONJ
ejpam-1374	45	28	z	z	NOUN
ejpam-1374	45	29	�	�	PROPN
ejpam-1374	45	30	qαβ	qαβ	PROPN
ejpam-1374	45	31	,	,	PUNCT
ejpam-1374	45	32	p	p	NOUN
ejpam-1374	45	33	f	f	X
ejpam-1374	45	34	(	(	PUNCT
ejpam-1374	45	35	z	z	NOUN
ejpam-1374	45	36	)	)	PUNCT
ejpam-1374	45	37	�	�	PROPN
ejpam-1374	45	38	′	′	NOUN
ejpam-1374	45	39	=	=	SYM
ejpam-1374	45	40	(	(	PUNCT
ejpam-1374	45	41	β	β	X
ejpam-1374	46	1	+	+	PROPN
ejpam-1374	46	2	α−	α−	PROPN
ejpam-1374	46	3	1)qα−1	1)qα−1	NUM
ejpam-1374	46	4	β	β	NOUN
ejpam-1374	46	5	,	,	PUNCT
ejpam-1374	46	6	p	p	PROPN
ejpam-1374	46	7	f	f	X
ejpam-1374	46	8	(	(	PUNCT
ejpam-1374	46	9	z)−	z)−	PROPN
ejpam-1374	46	10	(	(	PUNCT
ejpam-1374	46	11	β	β	X
ejpam-1374	46	12	+	+	NOUN
ejpam-1374	46	13	α+	α+	X
ejpam-1374	46	14	p−	p−	NOUN
ejpam-1374	46	15	1)qαβ	1)qαβ	NUM
ejpam-1374	46	16	,	,	PUNCT
ejpam-1374	46	17	p	p	PROPN
ejpam-1374	46	18	f	f	X
ejpam-1374	46	19	(	(	PUNCT
ejpam-1374	46	20	z)(α	z)(α	NUM
ejpam-1374	46	21	≥	≥	NOUN
ejpam-1374	46	22	0;β	0;β	NOUN
ejpam-1374	46	23	>	>	X
ejpam-1374	46	24	−1	−1	NOUN
ejpam-1374	46	25	.	.	PUNCT
ejpam-1374	47	1	(	(	PUNCT
ejpam-1374	47	2	9	9	NUM
ejpam-1374	47	3	)	)	PUNCT
ejpam-1374	47	4	by	by	ADP
ejpam-1374	47	5	using	use	VERB
ejpam-1374	47	6	the	the	DET
ejpam-1374	47	7	integral	integral	ADJ
ejpam-1374	47	8	operators	operator	NOUN
ejpam-1374	47	9	pα	pα	VERB
ejpam-1374	47	10	β	β	PROPN
ejpam-1374	47	11	,	,	PUNCT
ejpam-1374	47	12	p	p	PROPN
ejpam-1374	47	13	f	f	X
ejpam-1374	47	14	(	(	PUNCT
ejpam-1374	47	15	z	z	NOUN
ejpam-1374	47	16	)	)	PUNCT
ejpam-1374	47	17	and	and	CCONJ
ejpam-1374	47	18	qα	qα	PROPN
ejpam-1374	47	19	β	β	PROPN
ejpam-1374	47	20	,	,	PUNCT
ejpam-1374	47	21	p	p	PROPN
ejpam-1374	47	22	f	f	X
ejpam-1374	47	23	(	(	PUNCT
ejpam-1374	47	24	z	z	NOUN
ejpam-1374	47	25	)	)	PUNCT
ejpam-1374	47	26	,	,	PUNCT
ejpam-1374	47	27	we	we	PRON
ejpam-1374	47	28	define	define	VERB
ejpam-1374	47	29	two	two	NUM
ejpam-1374	47	30	subclasses	subclass	NOUN
ejpam-1374	47	31	of	of	ADP
ejpam-1374	47	32	∑	∑	PROPN
ejpam-1374	47	33	p	p	X
ejpam-1374	47	34	,	,	PUNCT
ejpam-1374	47	35	m	m	VERB
ejpam-1374	47	36	as	as	SCONJ
ejpam-1374	47	37	follows	follow	VERB
ejpam-1374	47	38	:	:	PUNCT
ejpam-1374	47	39	definition	definition	NOUN
ejpam-1374	47	40	1	1	NUM
ejpam-1374	47	41	.	.	PUNCT
ejpam-1374	48	1	for	for	ADP
ejpam-1374	48	2	fixed	fix	VERB
ejpam-1374	48	3	parameters	parameter	NOUN
ejpam-1374	48	4	a	a	PRON
ejpam-1374	48	5	,	,	PUNCT
ejpam-1374	48	6	b	b	PROPN
ejpam-1374	48	7	(	(	PUNCT
ejpam-1374	48	8	−1≤	−1≤	ADJ
ejpam-1374	48	9	b	b	NOUN
ejpam-1374	48	10	<	<	X
ejpam-1374	48	11	a≤	a≤	ADP
ejpam-1374	48	12	1	1	NUM
ejpam-1374	48	13	)	)	PUNCT
ejpam-1374	48	14	,	,	PUNCT
ejpam-1374	48	15	a	a	DET
ejpam-1374	48	16	function	function	NOUN
ejpam-1374	48	17	f	f	X
ejpam-1374	48	18	(	(	PUNCT
ejpam-1374	48	19	z	z	NOUN
ejpam-1374	48	20	)	)	PUNCT
ejpam-1374	48	21	∈∑p	∈∑p	NOUN
ejpam-1374	48	22	,	,	PUNCT
ejpam-1374	48	23	m	m	VERB
ejpam-1374	48	24	is	be	AUX
ejpam-1374	48	25	said	say	VERB
ejpam-1374	48	26	to	to	PART
ejpam-1374	48	27	be	be	AUX
ejpam-1374	48	28	in	in	ADP
ejpam-1374	48	29	the	the	DET
ejpam-1374	48	30	class	class	NOUN
ejpam-1374	48	31	∑p	∑p	PROPN
ejpam-1374	48	32	p	p	X
ejpam-1374	48	33	,	,	PUNCT
ejpam-1374	48	34	m(β	m(β	PROPN
ejpam-1374	48	35	,	,	PUNCT
ejpam-1374	48	36	α	α	NOUN
ejpam-1374	48	37	,	,	PUNCT
ejpam-1374	48	38	λ	λ	PROPN
ejpam-1374	48	39	,	,	PUNCT
ejpam-1374	48	40	a	a	DET
ejpam-1374	48	41	,	,	PUNCT
ejpam-1374	48	42	b	b	NOUN
ejpam-1374	48	43	)	)	PUNCT
ejpam-1374	49	1	if	if	SCONJ
ejpam-1374	49	2	−zp+1	−zp+1	PROPN
ejpam-1374	49	3	p	p	PROPN
ejpam-1374	49	4	�	�	PROPN
ejpam-1374	49	5	(	(	PUNCT
ejpam-1374	49	6	1−λ	1−λ	NUM
ejpam-1374	49	7	)	)	PUNCT
ejpam-1374	49	8	�	�	PROPN
ejpam-1374	49	9	pαβ	pαβ	NOUN
ejpam-1374	49	10	,	,	PUNCT
ejpam-1374	49	11	p	p	PROPN
ejpam-1374	49	12	f	f	X
ejpam-1374	49	13	(	(	PUNCT
ejpam-1374	49	14	z	z	NOUN
ejpam-1374	49	15	)	)	PUNCT
ejpam-1374	49	16	�	�	PROPN
ejpam-1374	49	17	′	′	NUM
ejpam-1374	49	18	+	+	PROPN
ejpam-1374	49	19	λ	λ	PROPN
ejpam-1374	49	20	�	�	PROPN
ejpam-1374	49	21	pα−1	pα−1	PROPN
ejpam-1374	49	22	β	β	PROPN
ejpam-1374	49	23	,	,	PUNCT
ejpam-1374	49	24	p	p	PROPN
ejpam-1374	49	25	f	f	X
ejpam-1374	49	26	(	(	PUNCT
ejpam-1374	49	27	z	z	NOUN
ejpam-1374	49	28	)	)	PUNCT
ejpam-1374	49	29	�	�	PROPN
ejpam-1374	49	30	′	′	NUM
ejpam-1374	49	31	�	�	PROPN
ejpam-1374	49	32	≺	≺	NOUN
ejpam-1374	49	33	1	1	NUM
ejpam-1374	49	34	+	+	NUM
ejpam-1374	49	35	az	az	PROPN
ejpam-1374	49	36	1	1	NUM
ejpam-1374	49	37	+	+	CCONJ
ejpam-1374	49	38	bz	bz	PROPN
ejpam-1374	49	39	(	(	PUNCT
ejpam-1374	49	40	z	z	NOUN
ejpam-1374	49	41	∈	∈	PROPN
ejpam-1374	49	42	u	u	NOUN
ejpam-1374	49	43	)	)	PUNCT
ejpam-1374	49	44	,	,	PUNCT
ejpam-1374	49	45	(	(	PUNCT
ejpam-1374	49	46	10	10	NUM
ejpam-1374	49	47	)	)	PUNCT
ejpam-1374	49	48	where	where	SCONJ
ejpam-1374	49	49	α	α	PRON
ejpam-1374	49	50	≥	≥	NOUN
ejpam-1374	49	51	0	0	NUM
ejpam-1374	49	52	,	,	PUNCT
ejpam-1374	49	53	β	β	X
ejpam-1374	49	54	>	>	X
ejpam-1374	49	55	0	0	NUM
ejpam-1374	49	56	,	,	PUNCT
ejpam-1374	49	57	p	p	NOUN
ejpam-1374	49	58	∈	∈	PROPN
ejpam-1374	49	59	n	n	CCONJ
ejpam-1374	49	60	and	and	CCONJ
ejpam-1374	49	61	λ≥	λ≥	PROPN
ejpam-1374	49	62	0	0	NUM
ejpam-1374	49	63	.	.	PUNCT
ejpam-1374	49	64	definition	definition	NOUN
ejpam-1374	49	65	2	2	NUM
ejpam-1374	49	66	.	.	PUNCT
ejpam-1374	49	67	for	for	ADP
ejpam-1374	49	68	fixed	fix	VERB
ejpam-1374	49	69	parameters	parameter	NOUN
ejpam-1374	49	70	a	a	PRON
ejpam-1374	49	71	,	,	PUNCT
ejpam-1374	49	72	b	b	PROPN
ejpam-1374	49	73	(	(	PUNCT
ejpam-1374	49	74	−1≤	−1≤	ADJ
ejpam-1374	49	75	b	b	NOUN
ejpam-1374	49	76	<	<	X
ejpam-1374	49	77	a≤	a≤	ADP
ejpam-1374	49	78	1	1	NUM
ejpam-1374	49	79	)	)	PUNCT
ejpam-1374	49	80	,	,	PUNCT
ejpam-1374	49	81	a	a	DET
ejpam-1374	49	82	function	function	NOUN
ejpam-1374	49	83	f	f	X
ejpam-1374	49	84	(	(	PUNCT
ejpam-1374	49	85	z	z	NOUN
ejpam-1374	49	86	)	)	PUNCT
ejpam-1374	49	87	∈∑p	∈∑p	NOUN
ejpam-1374	49	88	,	,	PUNCT
ejpam-1374	49	89	m	m	VERB
ejpam-1374	49	90	is	be	AUX
ejpam-1374	49	91	said	say	VERB
ejpam-1374	49	92	to	to	PART
ejpam-1374	49	93	be	be	AUX
ejpam-1374	49	94	in	in	ADP
ejpam-1374	49	95	the	the	DET
ejpam-1374	49	96	class	class	NOUN
ejpam-1374	49	97	∑q	∑q	PROPN
ejpam-1374	49	98	p	p	NOUN
ejpam-1374	49	99	,	,	PUNCT
ejpam-1374	49	100	m(β	m(β	PROPN
ejpam-1374	49	101	,	,	PUNCT
ejpam-1374	49	102	α	α	NOUN
ejpam-1374	49	103	,	,	PUNCT
ejpam-1374	49	104	λ	λ	PROPN
ejpam-1374	49	105	,	,	PUNCT
ejpam-1374	49	106	a	a	DET
ejpam-1374	49	107	,	,	PUNCT
ejpam-1374	49	108	b	b	NOUN
ejpam-1374	49	109	)	)	PUNCT
ejpam-1374	50	1	if	if	SCONJ
ejpam-1374	50	2	−zp+1	−zp+1	PROPN
ejpam-1374	50	3	p	p	PROPN
ejpam-1374	50	4	�	�	PROPN
ejpam-1374	50	5	(	(	PUNCT
ejpam-1374	50	6	1−λ	1−λ	NUM
ejpam-1374	50	7	)	)	PUNCT
ejpam-1374	50	8	�	�	PROPN
ejpam-1374	50	9	qαβ	qαβ	PROPN
ejpam-1374	50	10	,	,	PUNCT
ejpam-1374	50	11	p	p	NOUN
ejpam-1374	50	12	f	f	X
ejpam-1374	50	13	(	(	PUNCT
ejpam-1374	50	14	z	z	NOUN
ejpam-1374	50	15	)	)	PUNCT
ejpam-1374	50	16	�	�	PROPN
ejpam-1374	50	17	′	′	NUM
ejpam-1374	51	1	+	+	ADP
ejpam-1374	51	2	λ	λ	PROPN
ejpam-1374	51	3	�	�	PROPN
ejpam-1374	51	4	qα−1	qα−1	PROPN
ejpam-1374	51	5	β	β	X
ejpam-1374	51	6	,	,	PUNCT
ejpam-1374	51	7	p	p	PROPN
ejpam-1374	51	8	f	f	X
ejpam-1374	51	9	(	(	PUNCT
ejpam-1374	51	10	z	z	NOUN
ejpam-1374	51	11	)	)	PUNCT
ejpam-1374	51	12	�	�	PROPN
ejpam-1374	51	13	′	′	NUM
ejpam-1374	51	14	�	�	PROPN
ejpam-1374	51	15	≺	≺	NOUN
ejpam-1374	51	16	1	1	NUM
ejpam-1374	51	17	+	+	NUM
ejpam-1374	51	18	az	az	PROPN
ejpam-1374	51	19	1	1	NUM
ejpam-1374	51	20	+	+	CCONJ
ejpam-1374	51	21	bz	bz	PROPN
ejpam-1374	51	22	(	(	PUNCT
ejpam-1374	51	23	z	z	NOUN
ejpam-1374	51	24	∈	∈	PROPN
ejpam-1374	51	25	u	u	NOUN
ejpam-1374	51	26	)	)	PUNCT
ejpam-1374	51	27	,	,	PUNCT
ejpam-1374	51	28	(	(	PUNCT
ejpam-1374	51	29	11	11	NUM
ejpam-1374	51	30	)	)	PUNCT
ejpam-1374	51	31	where	where	SCONJ
ejpam-1374	51	32	α	α	PRON
ejpam-1374	51	33	≥	≥	NOUN
ejpam-1374	51	34	0	0	NUM
ejpam-1374	51	35	,	,	PUNCT
ejpam-1374	51	36	β	β	X
ejpam-1374	51	37	>	>	X
ejpam-1374	51	38	−1	−1	NOUN
ejpam-1374	51	39	,	,	PUNCT
ejpam-1374	51	40	p	p	PROPN
ejpam-1374	51	41	∈	∈	PROPN
ejpam-1374	51	42	n	n	CCONJ
ejpam-1374	51	43	and	and	CCONJ
ejpam-1374	51	44	λ≥	λ≥	PROPN
ejpam-1374	51	45	0	0	NUM
ejpam-1374	51	46	.	.	PUNCT
ejpam-1374	52	1	we	we	PRON
ejpam-1374	52	2	note	note	VERB
ejpam-1374	52	3	that	that	SCONJ
ejpam-1374	52	4	∑p	∑p	PROPN
ejpam-1374	52	5	1,1(β	1,1(β	PROPN
ejpam-1374	52	6	,	,	PUNCT
ejpam-1374	52	7	α	α	NOUN
ejpam-1374	52	8	,	,	PUNCT
ejpam-1374	52	9	λ	λ	PROPN
ejpam-1374	52	10	,	,	PUNCT
ejpam-1374	52	11	a	a	DET
ejpam-1374	52	12	,	,	PUNCT
ejpam-1374	52	13	b	b	NOUN
ejpam-1374	52	14	)	)	PUNCT
ejpam-1374	52	15	=	=	PUNCT
ejpam-1374	53	1	∑p	∑p	ADJ
ejpam-1374	53	2	β	β	X
ejpam-1374	53	3	,	,	PUNCT
ejpam-1374	53	4	α(λ	α(λ	PROPN
ejpam-1374	53	5	,	,	PUNCT
ejpam-1374	53	6	a	a	DET
ejpam-1374	53	7	,	,	PUNCT
ejpam-1374	53	8	b	b	NOUN
ejpam-1374	53	9	)	)	PUNCT
ejpam-1374	53	10	and	and	CCONJ
ejpam-1374	53	11	∑q	∑q	PROPN
ejpam-1374	53	12	1,1(β	1,1(β	NUM
ejpam-1374	53	13	,	,	PUNCT
ejpam-1374	53	14	α	α	NOUN
ejpam-1374	53	15	,	,	PUNCT
ejpam-1374	53	16	λ	λ	PROPN
ejpam-1374	53	17	,	,	PUNCT
ejpam-1374	53	18	a	a	DET
ejpam-1374	53	19	,	,	PUNCT
ejpam-1374	53	20	b	b	NOUN
ejpam-1374	53	21	)	)	PUNCT
ejpam-1374	53	22	=	=	PUNCT
ejpam-1374	54	1	∑q	∑q	PROPN
ejpam-1374	54	2	β	β	X
ejpam-1374	54	3	,	,	PUNCT
ejpam-1374	54	4	α(λ	α(λ	PROPN
ejpam-1374	54	5	,	,	PUNCT
ejpam-1374	54	6	a	a	DET
ejpam-1374	54	7	,	,	PUNCT
ejpam-1374	54	8	b	b	NOUN
ejpam-1374	54	9	)	)	PUNCT
ejpam-1374	54	10	(	(	PUNCT
ejpam-1374	54	11	see	see	VERB
ejpam-1374	54	12	lashin	lashin	NOUN
ejpam-1374	54	13	[	[	X
ejpam-1374	54	14	6	6	NUM
ejpam-1374	54	15	]	]	PUNCT
ejpam-1374	54	16	)	)	PUNCT
ejpam-1374	54	17	.	.	PUNCT
ejpam-1374	55	1	in	in	ADP
ejpam-1374	55	2	this	this	DET
ejpam-1374	55	3	paper	paper	NOUN
ejpam-1374	55	4	,	,	PUNCT
ejpam-1374	55	5	we	we	PRON
ejpam-1374	55	6	obtain	obtain	VERB
ejpam-1374	55	7	some	some	DET
ejpam-1374	55	8	properties	property	NOUN
ejpam-1374	55	9	of	of	ADP
ejpam-1374	55	10	the	the	DET
ejpam-1374	55	11	classes	class	NOUN
ejpam-1374	55	12	∑p	∑p	ADJ
ejpam-1374	55	13	p	p	X
ejpam-1374	55	14	,	,	PUNCT
ejpam-1374	55	15	m(β	m(β	PROPN
ejpam-1374	55	16	,	,	PUNCT
ejpam-1374	55	17	α	α	NOUN
ejpam-1374	55	18	,	,	PUNCT
ejpam-1374	55	19	λ	λ	PROPN
ejpam-1374	55	20	,	,	PUNCT
ejpam-1374	55	21	a	a	DET
ejpam-1374	55	22	,	,	PUNCT
ejpam-1374	55	23	b	b	NOUN
ejpam-1374	55	24	)	)	PUNCT
ejpam-1374	55	25	and	and	CCONJ
ejpam-1374	55	26	∑q	∑q	PROPN
ejpam-1374	55	27	p	p	NOUN
ejpam-1374	55	28	,	,	PUNCT
ejpam-1374	55	29	m(β	m(β	PROPN
ejpam-1374	55	30	,	,	PUNCT
ejpam-1374	55	31	α	α	NOUN
ejpam-1374	55	32	,	,	PUNCT
ejpam-1374	55	33	λ	λ	PROPN
ejpam-1374	55	34	,	,	PUNCT
ejpam-1374	55	35	a	a	DET
ejpam-1374	55	36	,	,	PUNCT
ejpam-1374	55	37	b	b	NOUN
ejpam-1374	55	38	)	)	PUNCT
ejpam-1374	55	39	.	.	PUNCT
ejpam-1374	56	1	our	our	PRON
ejpam-1374	56	2	results	result	NOUN
ejpam-1374	56	3	generalize	generalize	VERB
ejpam-1374	56	4	the	the	DET
ejpam-1374	56	5	work	work	NOUN
ejpam-1374	56	6	of	of	ADP
ejpam-1374	56	7	lashin	lashin	NOUN
ejpam-1374	56	8	[	[	X
ejpam-1374	56	9	6	6	NUM
ejpam-1374	56	10	]	]	PUNCT
ejpam-1374	56	11	.	.	PUNCT
ejpam-1374	57	1	2	2	X
ejpam-1374	57	2	.	.	X
ejpam-1374	57	3	preliminaries	preliminary	NOUN
ejpam-1374	57	4	to	to	PART
ejpam-1374	57	5	derive	derive	VERB
ejpam-1374	57	6	our	our	PRON
ejpam-1374	57	7	main	main	ADJ
ejpam-1374	57	8	results	result	NOUN
ejpam-1374	57	9	,	,	PUNCT
ejpam-1374	57	10	we	we	PRON
ejpam-1374	57	11	shall	shall	AUX
ejpam-1374	57	12	need	need	VERB
ejpam-1374	57	13	the	the	DET
ejpam-1374	57	14	following	follow	VERB
ejpam-1374	57	15	lemmas	lemmas	NOUN
ejpam-1374	57	16	.	.	PUNCT
ejpam-1374	58	1	lemma	lemma	PROPN
ejpam-1374	58	2	1	1	NUM
ejpam-1374	58	3	(	(	PUNCT
ejpam-1374	58	4	[	[	X
ejpam-1374	58	5	4	4	X
ejpam-1374	58	6	]	]	PUNCT
ejpam-1374	58	7	see	see	VERB
ejpam-1374	58	8	also	also	ADV
ejpam-1374	58	9	[	[	X
ejpam-1374	58	10	7	7	NUM
ejpam-1374	58	11	]	]	NUM
ejpam-1374	58	12	)	)	PUNCT
ejpam-1374	58	13	.	.	PUNCT
ejpam-1374	59	1	let	let	VERB
ejpam-1374	59	2	the	the	DET
ejpam-1374	59	3	function	function	NOUN
ejpam-1374	59	4	h(z	h(z	NOUN
ejpam-1374	59	5	)	)	PUNCT
ejpam-1374	59	6	be	be	AUX
ejpam-1374	59	7	analytic	analytic	ADJ
ejpam-1374	59	8	and	and	CCONJ
ejpam-1374	59	9	convex	convex	ADJ
ejpam-1374	59	10	(	(	PUNCT
ejpam-1374	59	11	univalent	univalent	ADJ
ejpam-1374	59	12	)	)	PUNCT
ejpam-1374	59	13	in	in	ADP
ejpam-1374	59	14	u	u	NOUN
ejpam-1374	59	15	with	with	ADP
ejpam-1374	59	16	h(0	h(0	PROPN
ejpam-1374	59	17	)	)	PUNCT
ejpam-1374	59	18	=	=	SYM
ejpam-1374	59	19	1	1	NUM
ejpam-1374	59	20	and	and	CCONJ
ejpam-1374	59	21	φ(z	φ(z	PROPN
ejpam-1374	59	22	)	)	PUNCT
ejpam-1374	59	23	given	give	VERB
ejpam-1374	59	24	by	by	ADP
ejpam-1374	59	25	φ(z	φ(z	PROPN
ejpam-1374	59	26	)	)	PUNCT
ejpam-1374	59	27	=	=	SYM
ejpam-1374	60	1	1	1	NUM
ejpam-1374	60	2	+	+	NUM
ejpam-1374	60	3	cp+mzp+m	cp+mzp+m	NOUN
ejpam-1374	60	4	+	+	X
ejpam-1374	60	5	cp+m+1zp+m+1	cp+m+1zp+m+1	PROPN
ejpam-1374	60	6	+	+	X
ejpam-1374	60	7	.	.	PUNCT
ejpam-1374	60	8	.	.	PUNCT
ejpam-1374	60	9	.	.	PUNCT
ejpam-1374	60	10	.	.	PUNCT
ejpam-1374	61	1	(	(	PUNCT
ejpam-1374	61	2	12	12	NUM
ejpam-1374	61	3	)	)	PUNCT
ejpam-1374	61	4	if	if	SCONJ
ejpam-1374	61	5	φ(z	φ(z	PROPN
ejpam-1374	61	6	)	)	PUNCT
ejpam-1374	62	1	+	+	CCONJ
ejpam-1374	63	1	zφ	zφ	NUM
ejpam-1374	63	2	′	′	NUM
ejpam-1374	64	1	(	(	PUNCT
ejpam-1374	64	2	z	z	X
ejpam-1374	64	3	)	)	PUNCT
ejpam-1374	64	4	γ	γ	PROPN
ejpam-1374	64	5	≺	≺	NOUN
ejpam-1374	64	6	h(z	h(z	NOUN
ejpam-1374	64	7	)	)	PUNCT
ejpam-1374	64	8	(	(	PUNCT
ejpam-1374	64	9	re(γ)≥	re(γ)≥	PROPN
ejpam-1374	64	10	0,γ	0,γ	NUM
ejpam-1374	64	11	6=	6=	ADP
ejpam-1374	64	12	0	0	NUM
ejpam-1374	64	13	;	;	PUNCT
ejpam-1374	64	14	z	z	PROPN
ejpam-1374	64	15	∈	∈	PROPN
ejpam-1374	64	16	u	u	NOUN
ejpam-1374	64	17	)	)	PUNCT
ejpam-1374	64	18	,	,	PUNCT
ejpam-1374	64	19	(	(	PUNCT
ejpam-1374	64	20	13	13	X
ejpam-1374	64	21	)	)	PUNCT
ejpam-1374	64	22	m.	m.	NOUN
ejpam-1374	64	23	aouf	aouf	PROPN
ejpam-1374	64	24	,	,	PUNCT
ejpam-1374	64	25	a.	a.	NOUN
ejpam-1374	64	26	shamandy	shamandy	NOUN
ejpam-1374	64	27	,	,	PUNCT
ejpam-1374	64	28	a.	a.	PROPN
ejpam-1374	64	29	mostafa	mostafa	PROPN
ejpam-1374	64	30	,	,	PUNCT
ejpam-1374	64	31	f.	f.	PROPN
ejpam-1374	64	32	el	el	PROPN
ejpam-1374	64	33	-	-	PUNCT
ejpam-1374	64	34	emam	emam	PROPN
ejpam-1374	64	35	/	/	SYM
ejpam-1374	64	36	eur	eur	PROPN
ejpam-1374	64	37	.	.	PUNCT
ejpam-1374	65	1	j.	j.	PROPN
ejpam-1374	65	2	pure	pure	PROPN
ejpam-1374	65	3	appl	appl	PROPN
ejpam-1374	65	4	.	.	PROPN
ejpam-1374	65	5	math	math	PROPN
ejpam-1374	65	6	,	,	PUNCT
ejpam-1374	65	7	4	4	NUM
ejpam-1374	65	8	(	(	PUNCT
ejpam-1374	65	9	2011	2011	NUM
ejpam-1374	65	10	)	)	PUNCT
ejpam-1374	65	11	,	,	PUNCT
ejpam-1374	65	12	435	435	NUM
ejpam-1374	65	13	-	-	SYM
ejpam-1374	65	14	447	447	NUM
ejpam-1374	65	15	438	438	NUM
ejpam-1374	65	16	then	then	ADV
ejpam-1374	65	17	φ(z	φ(z	NOUN
ejpam-1374	65	18	)	)	PUNCT
ejpam-1374	65	19	≺ψ(z	≺ψ(z	NOUN
ejpam-1374	65	20	)	)	PUNCT
ejpam-1374	65	21	=	=	SYM
ejpam-1374	66	1	γ	γ	X
ejpam-1374	66	2	p+m	p+m	PROPN
ejpam-1374	66	3	z	z	PROPN
ejpam-1374	66	4	−	−	PROPN
ejpam-1374	66	5	γ	γ	X
ejpam-1374	66	6	p+m	p+m	PROPN
ejpam-1374	66	7	z	z	PROPN
ejpam-1374	66	8	∫	∫	PROPN
ejpam-1374	66	9	0	0	NUM
ejpam-1374	66	10	t	t	PROPN
ejpam-1374	66	11	γ	γ	X
ejpam-1374	66	12	p+m	p+m	X
ejpam-1374	66	13	−1	−1	NOUN
ejpam-1374	66	14	h(t)d	h(t)d	PROPN
ejpam-1374	66	15	t	t	PROPN
ejpam-1374	66	16	≺	≺	VERB
ejpam-1374	66	17	h(z	h(z	NOUN
ejpam-1374	66	18	)	)	PUNCT
ejpam-1374	66	19	(	(	PUNCT
ejpam-1374	66	20	z	z	NOUN
ejpam-1374	66	21	∈	∈	PROPN
ejpam-1374	66	22	u	u	NOUN
ejpam-1374	66	23	)	)	PUNCT
ejpam-1374	66	24	,	,	PUNCT
ejpam-1374	66	25	and	and	CCONJ
ejpam-1374	66	26	ψ(z	ψ(z	PROPN
ejpam-1374	66	27	)	)	PUNCT
ejpam-1374	66	28	is	be	AUX
ejpam-1374	66	29	the	the	DET
ejpam-1374	66	30	best	good	ADJ
ejpam-1374	66	31	dominant	dominant	NOUN
ejpam-1374	66	32	of	of	ADP
ejpam-1374	66	33	(	(	PUNCT
ejpam-1374	66	34	13	13	NUM
ejpam-1374	66	35	)	)	PUNCT
ejpam-1374	66	36	.	.	PUNCT
ejpam-1374	67	1	we	we	PRON
ejpam-1374	67	2	denote	denote	VERB
ejpam-1374	67	3	by	by	ADP
ejpam-1374	67	4	p(γ	p(γ	NOUN
ejpam-1374	67	5	)	)	PUNCT
ejpam-1374	67	6	the	the	DET
ejpam-1374	67	7	class	class	NOUN
ejpam-1374	67	8	of	of	ADP
ejpam-1374	67	9	functions	function	NOUN
ejpam-1374	67	10	ϕ(z	ϕ(z	NOUN
ejpam-1374	67	11	)	)	PUNCT
ejpam-1374	67	12	given	give	VERB
ejpam-1374	67	13	by	by	ADP
ejpam-1374	67	14	ϕ(z	ϕ(z	NOUN
ejpam-1374	67	15	)	)	PUNCT
ejpam-1374	67	16	=	=	SYM
ejpam-1374	68	1	1	1	NUM
ejpam-1374	68	2	+	+	CCONJ
ejpam-1374	68	3	b1z	b1z	X
ejpam-1374	68	4	+	+	CCONJ
ejpam-1374	68	5	b2z2	b2z2	X
ejpam-1374	68	6	+	+	X
ejpam-1374	68	7	.	.	PUNCT
ejpam-1374	68	8	.	.	PUNCT
ejpam-1374	68	9	.	.	PUNCT
ejpam-1374	69	1	,	,	PUNCT
ejpam-1374	69	2	(	(	PUNCT
ejpam-1374	69	3	14	14	NUM
ejpam-1374	69	4	)	)	PUNCT
ejpam-1374	69	5	which	which	PRON
ejpam-1374	69	6	are	be	AUX
ejpam-1374	69	7	analytic	analytic	ADJ
ejpam-1374	69	8	in	in	ADP
ejpam-1374	69	9	u	u	NOUN
ejpam-1374	69	10	and	and	CCONJ
ejpam-1374	69	11	satisfy	satisfy	VERB
ejpam-1374	69	12	the	the	DET
ejpam-1374	69	13	following	follow	VERB
ejpam-1374	69	14	inequality	inequality	NOUN
ejpam-1374	69	15	:	:	PUNCT
ejpam-1374	69	16	re(ϕ(z	re(ϕ(z	ADJ
ejpam-1374	69	17	)	)	PUNCT
ejpam-1374	69	18	)	)	PUNCT
ejpam-1374	69	19	>	>	X
ejpam-1374	69	20	γ(0≤	γ(0≤	PROPN
ejpam-1374	69	21	γ	γ	X
ejpam-1374	69	22	<	<	X
ejpam-1374	69	23	1	1	NUM
ejpam-1374	69	24	;	;	PUNCT
ejpam-1374	69	25	z	z	PROPN
ejpam-1374	69	26	∈	∈	PROPN
ejpam-1374	69	27	u	u	NOUN
ejpam-1374	69	28	)	)	PUNCT
ejpam-1374	69	29	.	.	PUNCT
ejpam-1374	70	1	lemma	lemma	PROPN
ejpam-1374	70	2	2	2	NUM
ejpam-1374	70	3	(	(	PUNCT
ejpam-1374	70	4	[	[	X
ejpam-1374	70	5	9	9	NUM
ejpam-1374	70	6	]	]	PUNCT
ejpam-1374	70	7	)	)	PUNCT
ejpam-1374	70	8	.	.	PUNCT
ejpam-1374	71	1	let	let	VERB
ejpam-1374	71	2	the	the	DET
ejpam-1374	71	3	function	function	NOUN
ejpam-1374	71	4	ϕ(z	ϕ(z	PROPN
ejpam-1374	71	5	)	)	PUNCT
ejpam-1374	71	6	,	,	PUNCT
ejpam-1374	71	7	given	give	VERB
ejpam-1374	71	8	by	by	ADP
ejpam-1374	71	9	(	(	PUNCT
ejpam-1374	71	10	14	14	NUM
ejpam-1374	71	11	)	)	PUNCT
ejpam-1374	71	12	be	be	AUX
ejpam-1374	71	13	in	in	ADP
ejpam-1374	71	14	the	the	DET
ejpam-1374	71	15	class	class	NOUN
ejpam-1374	71	16	p(γ	p(γ	NOUN
ejpam-1374	71	17	)	)	PUNCT
ejpam-1374	71	18	.	.	PUNCT
ejpam-1374	72	1	then	then	ADV
ejpam-1374	72	2	re(ϕ(z))≥	re(ϕ(z))≥	VERB
ejpam-1374	72	3	2γ−	2γ−	NUM
ejpam-1374	72	4	1	1	NUM
ejpam-1374	72	5	+	+	NUM
ejpam-1374	72	6	2(1−	2(1−	NUM
ejpam-1374	72	7	γ	γ	NOUN
ejpam-1374	72	8	)	)	PUNCT
ejpam-1374	72	9	1	1	NUM
ejpam-1374	72	10	+	+	NUM
ejpam-1374	72	11	|z|	|z|	NOUN
ejpam-1374	72	12	(	(	PUNCT
ejpam-1374	72	13	0≤	0≤	NUM
ejpam-1374	72	14	γ	γ	X
ejpam-1374	72	15	<	<	X
ejpam-1374	72	16	1	1	NUM
ejpam-1374	72	17	;	;	PUNCT
ejpam-1374	72	18	z	z	PROPN
ejpam-1374	72	19	∈	∈	PROPN
ejpam-1374	72	20	u	u	NOUN
ejpam-1374	72	21	)	)	PUNCT
ejpam-1374	72	22	.	.	PUNCT
ejpam-1374	73	1	lemma	lemma	PROPN
ejpam-1374	73	2	3	3	NUM
ejpam-1374	73	3	(	(	PUNCT
ejpam-1374	73	4	[	[	X
ejpam-1374	73	5	12	12	NUM
ejpam-1374	73	6	]	]	PUNCT
ejpam-1374	73	7	)	)	PUNCT
ejpam-1374	73	8	.	.	PUNCT
ejpam-1374	74	1	if	if	SCONJ
ejpam-1374	74	2	ϕ	ϕ	PROPN
ejpam-1374	74	3	j	j	PROPN
ejpam-1374	74	4	∈	∈	PROPN
ejpam-1374	74	5	p(γ	p(γ	PROPN
ejpam-1374	74	6	j	j	NOUN
ejpam-1374	74	7	)	)	PUNCT
ejpam-1374	74	8	(	(	PUNCT
ejpam-1374	74	9	0≤	0≤	NUM
ejpam-1374	74	10	γ	γ	X
ejpam-1374	74	11	j	j	X
ejpam-1374	74	12	<	<	X
ejpam-1374	74	13	1	1	NUM
ejpam-1374	74	14	;	;	PUNCT
ejpam-1374	74	15	j	j	PROPN
ejpam-1374	74	16	=	=	SYM
ejpam-1374	74	17	1,2	1,2	NUM
ejpam-1374	74	18	)	)	PUNCT
ejpam-1374	74	19	,	,	PUNCT
ejpam-1374	74	20	then	then	ADV
ejpam-1374	74	21	ϕ1	ϕ1	PROPN
ejpam-1374	74	22	∗ϕ2	∗ϕ2	PROPN
ejpam-1374	74	23	∈	∈	PROPN
ejpam-1374	74	24	p(γ3	p(γ3	PROPN
ejpam-1374	74	25	)	)	PUNCT
ejpam-1374	74	26	(	(	PUNCT
ejpam-1374	75	1	γ3	γ3	NOUN
ejpam-1374	75	2	=	=	SYM
ejpam-1374	75	3	1−	1−	NUM
ejpam-1374	75	4	2(1−	2(1−	X
ejpam-1374	75	5	γ1)(1−	γ1)(1−	ADJ
ejpam-1374	75	6	γ2	γ2	NOUN
ejpam-1374	75	7	)	)	PUNCT
ejpam-1374	75	8	.	.	PUNCT
ejpam-1374	76	1	the	the	DET
ejpam-1374	76	2	result	result	NOUN
ejpam-1374	76	3	is	be	AUX
ejpam-1374	76	4	the	the	DET
ejpam-1374	76	5	best	good	ADJ
ejpam-1374	76	6	possible	possible	ADJ
ejpam-1374	76	7	.	.	PUNCT
ejpam-1374	77	1	for	for	ADP
ejpam-1374	77	2	real	real	ADJ
ejpam-1374	77	3	or	or	CCONJ
ejpam-1374	77	4	complex	complex	ADJ
ejpam-1374	77	5	numbers	number	NOUN
ejpam-1374	77	6	a	a	DET
ejpam-1374	77	7	,	,	PUNCT
ejpam-1374	77	8	b	b	NOUN
ejpam-1374	77	9	and	and	CCONJ
ejpam-1374	77	10	c	c	PROPN
ejpam-1374	77	11	(	(	PUNCT
ejpam-1374	77	12	c	c	PROPN
ejpam-1374	77	13	6=	6=	NUM
ejpam-1374	77	14	0,−1,−2	0,−1,−2	NUM
ejpam-1374	77	15	,	,	PUNCT
ejpam-1374	77	16	.	.	PUNCT
ejpam-1374	77	17	.	.	PUNCT
ejpam-1374	78	1	.	.	PUNCT
ejpam-1374	78	2	)	)	PUNCT
ejpam-1374	78	3	,	,	PUNCT
ejpam-1374	78	4	the	the	DET
ejpam-1374	78	5	gauss	gauss	ADJ
ejpam-1374	78	6	hypergeometric	hypergeometric	ADJ
ejpam-1374	78	7	function	function	NOUN
ejpam-1374	78	8	2f1	2f1	NUM
ejpam-1374	78	9	is	be	AUX
ejpam-1374	78	10	defined	define	VERB
ejpam-1374	78	11	in	in	ADP
ejpam-1374	78	12	u	u	NOUN
ejpam-1374	78	13	by	by	ADP
ejpam-1374	78	14	2f1(a	2f1(a	NUM
ejpam-1374	78	15	,	,	PUNCT
ejpam-1374	78	16	b	b	NOUN
ejpam-1374	78	17	;	;	PUNCT
ejpam-1374	78	18	c	c	X
ejpam-1374	78	19	;	;	PUNCT
ejpam-1374	79	1	z	z	X
ejpam-1374	79	2	)	)	PUNCT
ejpam-1374	79	3	=	=	SYM
ejpam-1374	79	4	∞	∞	PROPN
ejpam-1374	79	5	∑	∑	PUNCT
ejpam-1374	79	6	k=0	k=0	X
ejpam-1374	79	7	(	(	PUNCT
ejpam-1374	79	8	a)k(b)k	a)k(b)k	PROPN
ejpam-1374	79	9	(	(	PUNCT
ejpam-1374	79	10	c)k	c)k	X
ejpam-1374	79	11	zk	zk	PROPN
ejpam-1374	80	1	k	k	X
ejpam-1374	80	2	!	!	PROPN
ejpam-1374	80	3	,	,	PUNCT
ejpam-1374	80	4	(	(	PUNCT
ejpam-1374	80	5	15	15	NUM
ejpam-1374	80	6	)	)	PUNCT
ejpam-1374	80	7	where	where	SCONJ
ejpam-1374	80	8	(	(	PUNCT
ejpam-1374	80	9	x)k	x)k	PROPN
ejpam-1374	80	10	denotes	denote	VERB
ejpam-1374	80	11	the	the	DET
ejpam-1374	80	12	pochhammer	pochhammer	NOUN
ejpam-1374	80	13	symbol	symbol	NOUN
ejpam-1374	80	14	given	give	VERB
ejpam-1374	80	15	by	by	ADP
ejpam-1374	80	16	(	(	PUNCT
ejpam-1374	80	17	x)k	x)k	NOUN
ejpam-1374	80	18	=	=	SYM
ejpam-1374	80	19	(	(	PUNCT
ejpam-1374	80	20	x(x	x(x	PROPN
ejpam-1374	81	1	+	+	CCONJ
ejpam-1374	81	2	1)(x	1)(x	NUM
ejpam-1374	81	3	+	+	CCONJ
ejpam-1374	81	4	2	2	NUM
ejpam-1374	81	5	)	)	PUNCT
ejpam-1374	81	6	.	.	PUNCT
ejpam-1374	82	1	.	.	PUNCT
ejpam-1374	82	2	.	.	PUNCT
ejpam-1374	83	1	(	(	PUNCT
ejpam-1374	83	2	x	x	X
ejpam-1374	83	3	+	+	NUM
ejpam-1374	83	4	k−	k−	NOUN
ejpam-1374	83	5	1	1	NUM
ejpam-1374	83	6	)	)	PUNCT
ejpam-1374	83	7	(	(	PUNCT
ejpam-1374	83	8	k	k	PROPN
ejpam-1374	83	9	∈	∈	PROPN
ejpam-1374	83	10	n	n	CCONJ
ejpam-1374	83	11	,	,	PUNCT
ejpam-1374	83	12	x	x	SYM
ejpam-1374	83	13	∈	∈	PROPN
ejpam-1374	83	14	c	c	X
ejpam-1374	83	15	)	)	PUNCT
ejpam-1374	83	16	1	1	NUM
ejpam-1374	83	17	(	(	PUNCT
ejpam-1374	83	18	k	k	NOUN
ejpam-1374	83	19	=	=	SYM
ejpam-1374	83	20	0	0	PROPN
ejpam-1374	83	21	,	,	PUNCT
ejpam-1374	83	22	x	x	X
ejpam-1374	83	23	∈	∈	PROPN
ejpam-1374	83	24	c\{0	c\{0	NOUN
ejpam-1374	83	25	}	}	PUNCT
ejpam-1374	83	26	)	)	PUNCT
ejpam-1374	83	27	.	.	PUNCT
ejpam-1374	84	1	we	we	PRON
ejpam-1374	84	2	note	note	VERB
ejpam-1374	84	3	that	that	SCONJ
ejpam-1374	84	4	the	the	DET
ejpam-1374	84	5	series	series	NOUN
ejpam-1374	84	6	defined	define	VERB
ejpam-1374	84	7	by	by	ADP
ejpam-1374	84	8	(	(	PUNCT
ejpam-1374	84	9	15	15	NUM
ejpam-1374	84	10	)	)	PUNCT
ejpam-1374	84	11	converges	converge	VERB
ejpam-1374	84	12	absolutely	absolutely	ADV
ejpam-1374	84	13	for	for	ADP
ejpam-1374	84	14	z	z	PROPN
ejpam-1374	84	15	∈	∈	PROPN
ejpam-1374	84	16	u	u	NOUN
ejpam-1374	84	17	and	and	CCONJ
ejpam-1374	84	18	hence	hence	ADV
ejpam-1374	84	19	represents	represent	VERB
ejpam-1374	84	20	an	an	DET
ejpam-1374	84	21	analytic	analytic	ADJ
ejpam-1374	84	22	function	function	NOUN
ejpam-1374	84	23	in	in	ADP
ejpam-1374	84	24	the	the	DET
ejpam-1374	84	25	open	open	ADJ
ejpam-1374	84	26	unit	unit	NOUN
ejpam-1374	84	27	disk	disk	NOUN
ejpam-1374	84	28	u	u	NOUN
ejpam-1374	84	29	(	(	PUNCT
ejpam-1374	84	30	see	see	VERB
ejpam-1374	84	31	[	[	X
ejpam-1374	84	32	14	14	NUM
ejpam-1374	84	33	]	]	NUM
ejpam-1374	84	34	)	)	PUNCT
ejpam-1374	84	35	.	.	PUNCT
ejpam-1374	85	1	lemma	lemma	PROPN
ejpam-1374	85	2	4	4	NUM
ejpam-1374	85	3	(	(	PUNCT
ejpam-1374	85	4	[	[	X
ejpam-1374	85	5	14	14	NUM
ejpam-1374	85	6	]	]	NUM
ejpam-1374	85	7	)	)	PUNCT
ejpam-1374	85	8	.	.	PUNCT
ejpam-1374	86	1	for	for	ADP
ejpam-1374	86	2	real	real	ADJ
ejpam-1374	86	3	or	or	CCONJ
ejpam-1374	86	4	complex	complex	ADJ
ejpam-1374	86	5	numbers	number	NOUN
ejpam-1374	86	6	a	a	DET
ejpam-1374	86	7	,	,	PUNCT
ejpam-1374	86	8	b	b	NOUN
ejpam-1374	86	9	and	and	CCONJ
ejpam-1374	86	10	c	c	PROPN
ejpam-1374	86	11	(	(	PUNCT
ejpam-1374	86	12	c	c	PROPN
ejpam-1374	86	13	6=	6=	NUM
ejpam-1374	86	14	0,−1,−2	0,−1,−2	NUM
ejpam-1374	86	15	,	,	PUNCT
ejpam-1374	86	16	.	.	PUNCT
ejpam-1374	86	17	.	.	PUNCT
ejpam-1374	87	1	.	.	PUNCT
ejpam-1374	87	2	)	)	PUNCT
ejpam-1374	88	1	,	,	PUNCT
ejpam-1374	88	2	1	1	NUM
ejpam-1374	88	3	∫	∫	NOUN
ejpam-1374	88	4	0	0	NUM
ejpam-1374	88	5	t	t	PROPN
ejpam-1374	88	6	b−1(1−	b−1(1−	PROPN
ejpam-1374	88	7	t)c−b−1(1−	t)c−b−1(1−	X
ejpam-1374	88	8	zt)−ad	zt)−ad	X
ejpam-1374	88	9	t	t	NOUN
ejpam-1374	88	10	=	=	PUNCT
ejpam-1374	88	11	γ(b)γ(c−	γ(b)γ(c−	PROPN
ejpam-1374	88	12	b	b	PROPN
ejpam-1374	88	13	)	)	PUNCT
ejpam-1374	88	14	γ(c	γ(c	NUM
ejpam-1374	88	15	)	)	PUNCT
ejpam-1374	88	16	2f1(a	2f1(a	NUM
ejpam-1374	88	17	,	,	PUNCT
ejpam-1374	88	18	b	b	X
ejpam-1374	88	19	;	;	PUNCT
ejpam-1374	88	20	c	c	X
ejpam-1374	88	21	;	;	PUNCT
ejpam-1374	88	22	z	z	X
ejpam-1374	88	23	)	)	PUNCT
ejpam-1374	88	24	(	(	PUNCT
ejpam-1374	88	25	re(c	re(c	NOUN
ejpam-1374	88	26	)	)	PUNCT
ejpam-1374	88	27	>	>	X
ejpam-1374	88	28	re(b	re(b	X
ejpam-1374	88	29	)	)	PUNCT
ejpam-1374	88	30	>	>	X
ejpam-1374	88	31	0	0	NUM
ejpam-1374	88	32	)	)	PUNCT
ejpam-1374	88	33	;	;	PUNCT
ejpam-1374	88	34	(	(	PUNCT
ejpam-1374	88	35	16	16	NUM
ejpam-1374	88	36	)	)	PUNCT
ejpam-1374	88	37	2f1(a	2f1(a	NUM
ejpam-1374	88	38	,	,	PUNCT
ejpam-1374	88	39	b	b	X
ejpam-1374	88	40	;	;	PUNCT
ejpam-1374	88	41	c	c	X
ejpam-1374	88	42	;	;	PUNCT
ejpam-1374	88	43	z	z	X
ejpam-1374	88	44	)	)	PUNCT
ejpam-1374	88	45	=	=	PUNCT
ejpam-1374	88	46	(	(	PUNCT
ejpam-1374	88	47	1−	1−	NUM
ejpam-1374	88	48	z)−a	z)−a	NUM
ejpam-1374	88	49	2f1(a	2f1(a	ADV
ejpam-1374	88	50	,	,	PUNCT
ejpam-1374	88	51	c	c	PROPN
ejpam-1374	88	52	−	−	PROPN
ejpam-1374	88	53	b	b	NOUN
ejpam-1374	88	54	;	;	PUNCT
ejpam-1374	88	55	c	c	X
ejpam-1374	88	56	;	;	PUNCT
ejpam-1374	88	57	z	z	NOUN
ejpam-1374	88	58	z	z	NOUN
ejpam-1374	89	1	−	−	NUM
ejpam-1374	89	2	1	1	NUM
ejpam-1374	89	3	)	)	PUNCT
ejpam-1374	89	4	;	;	PUNCT
ejpam-1374	89	5	(	(	PUNCT
ejpam-1374	89	6	17	17	NUM
ejpam-1374	89	7	)	)	PUNCT
ejpam-1374	89	8	2f1(a	2f1(a	NUM
ejpam-1374	89	9	,	,	PUNCT
ejpam-1374	89	10	b	b	NOUN
ejpam-1374	89	11	;	;	PUNCT
ejpam-1374	89	12	a+	a+	X
ejpam-1374	89	13	b+	b+	ADJ
ejpam-1374	89	14	1	1	NUM
ejpam-1374	89	15	2	2	NUM
ejpam-1374	89	16	;	;	PUNCT
ejpam-1374	89	17	1	1	NUM
ejpam-1374	89	18	2	2	NUM
ejpam-1374	89	19	)	)	PUNCT
ejpam-1374	90	1	=	=	NOUN
ejpam-1374	91	1	p	p	X
ejpam-1374	91	2	πγ	πγ	PROPN
ejpam-1374	91	3	(	(	PUNCT
ejpam-1374	91	4	a+b+1	a+b+1	NOUN
ejpam-1374	91	5	2	2	NUM
ejpam-1374	91	6	)	)	PUNCT
ejpam-1374	91	7	γ	γ	PROPN
ejpam-1374	91	8	(	(	PUNCT
ejpam-1374	91	9	a+1	a+1	PROPN
ejpam-1374	91	10	2	2	NUM
ejpam-1374	91	11	)	)	PUNCT
ejpam-1374	91	12	γ	γ	PROPN
ejpam-1374	91	13	(	(	PUNCT
ejpam-1374	91	14	b+1	b+1	NOUN
ejpam-1374	91	15	2	2	NUM
ejpam-1374	91	16	)	)	PUNCT
ejpam-1374	91	17	;	;	PUNCT
ejpam-1374	91	18	(	(	PUNCT
ejpam-1374	91	19	18	18	NUM
ejpam-1374	91	20	)	)	PUNCT
ejpam-1374	91	21	2f1(1,1	2f1(1,1	NUM
ejpam-1374	91	22	;	;	PUNCT
ejpam-1374	91	23	2	2	NUM
ejpam-1374	91	24	;	;	PUNCT
ejpam-1374	91	25	z	z	NOUN
ejpam-1374	91	26	z	z	NOUN
ejpam-1374	92	1	+	+	NOUN
ejpam-1374	92	2	1	1	X
ejpam-1374	92	3	)	)	PUNCT
ejpam-1374	92	4	=	=	SYM
ejpam-1374	92	5	z	z	NOUN
ejpam-1374	93	1	+	+	NOUN
ejpam-1374	93	2	1	1	NUM
ejpam-1374	93	3	z	z	NOUN
ejpam-1374	93	4	ln(1	ln(1	PROPN
ejpam-1374	93	5	+	+	NOUN
ejpam-1374	93	6	z	z	NOUN
ejpam-1374	93	7	)	)	PUNCT
ejpam-1374	93	8	(	(	PUNCT
ejpam-1374	93	9	z	z	NOUN
ejpam-1374	93	10	6=	6=	NUM
ejpam-1374	93	11	0	0	NUM
ejpam-1374	93	12	)	)	PUNCT
ejpam-1374	93	13	.	.	PUNCT
ejpam-1374	94	1	(	(	PUNCT
ejpam-1374	94	2	19	19	NUM
ejpam-1374	94	3	)	)	PUNCT
ejpam-1374	94	4	m.	m.	NOUN
ejpam-1374	94	5	aouf	aouf	PROPN
ejpam-1374	94	6	,	,	PUNCT
ejpam-1374	94	7	a.	a.	NOUN
ejpam-1374	94	8	shamandy	shamandy	NOUN
ejpam-1374	94	9	,	,	PUNCT
ejpam-1374	94	10	a.	a.	PROPN
ejpam-1374	94	11	mostafa	mostafa	PROPN
ejpam-1374	94	12	,	,	PUNCT
ejpam-1374	94	13	f.	f.	PROPN
ejpam-1374	94	14	el	el	PROPN
ejpam-1374	94	15	-	-	PUNCT
ejpam-1374	94	16	emam	emam	PROPN
ejpam-1374	94	17	/	/	SYM
ejpam-1374	94	18	eur	eur	PROPN
ejpam-1374	94	19	.	.	PUNCT
ejpam-1374	95	1	j.	j.	PROPN
ejpam-1374	95	2	pure	pure	PROPN
ejpam-1374	95	3	appl	appl	PROPN
ejpam-1374	95	4	.	.	PROPN
ejpam-1374	95	5	math	math	PROPN
ejpam-1374	95	6	,	,	PUNCT
ejpam-1374	95	7	4	4	NUM
ejpam-1374	95	8	(	(	PUNCT
ejpam-1374	95	9	2011	2011	NUM
ejpam-1374	95	10	)	)	PUNCT
ejpam-1374	95	11	,	,	PUNCT
ejpam-1374	95	12	435	435	NUM
ejpam-1374	95	13	-	-	SYM
ejpam-1374	95	14	447	447	NUM
ejpam-1374	95	15	439	439	NUM
ejpam-1374	95	16	3	3	NUM
ejpam-1374	95	17	.	.	PUNCT
ejpam-1374	95	18	main	main	ADJ
ejpam-1374	95	19	results	result	NOUN
ejpam-1374	95	20	unless	unless	SCONJ
ejpam-1374	95	21	otherwise	otherwise	ADV
ejpam-1374	95	22	mentioned	mention	VERB
ejpam-1374	95	23	,	,	PUNCT
ejpam-1374	95	24	we	we	PRON
ejpam-1374	95	25	assume	assume	VERB
ejpam-1374	95	26	throughout	throughout	ADP
ejpam-1374	95	27	this	this	DET
ejpam-1374	95	28	paper	paper	NOUN
ejpam-1374	95	29	that	that	PRON
ejpam-1374	95	30	m	m	VERB
ejpam-1374	95	31	>	>	X
ejpam-1374	95	32	−p	−p	NOUN
ejpam-1374	95	33	,	,	PUNCT
ejpam-1374	95	34	p	p	PROPN
ejpam-1374	95	35	∈	∈	PROPN
ejpam-1374	95	36	n	n	CCONJ
ejpam-1374	95	37	,	,	PUNCT
ejpam-1374	95	38	α	α	PRON
ejpam-1374	95	39	≥	≥	NOUN
ejpam-1374	95	40	0	0	NUM
ejpam-1374	95	41	,	,	PUNCT
ejpam-1374	95	42	λ	λ	X
ejpam-1374	95	43	>	>	X
ejpam-1374	95	44	0	0	PUNCT
ejpam-1374	96	1	and	and	CCONJ
ejpam-1374	96	2	−	−	PROPN
ejpam-1374	96	3	1≤	1≤	NUM
ejpam-1374	96	4	b	b	ADP
ejpam-1374	96	5	<	<	X
ejpam-1374	96	6	a≤	a≤	ADP
ejpam-1374	96	7	1	1	NUM
ejpam-1374	96	8	.	.	PUNCT
ejpam-1374	96	9	theorem	theorem	NOUN
ejpam-1374	96	10	1	1	NUM
ejpam-1374	96	11	.	.	PUNCT
ejpam-1374	97	1	if	if	SCONJ
ejpam-1374	97	2	f	f	PROPN
ejpam-1374	97	3	∈∑p	∈∑p	VERB
ejpam-1374	97	4	p	p	PRON
ejpam-1374	97	5	,	,	PUNCT
ejpam-1374	97	6	m(β	m(β	PROPN
ejpam-1374	97	7	,	,	PUNCT
ejpam-1374	97	8	α	α	NOUN
ejpam-1374	97	9	,	,	PUNCT
ejpam-1374	97	10	λ	λ	PROPN
ejpam-1374	97	11	,	,	PUNCT
ejpam-1374	97	12	a	a	DET
ejpam-1374	97	13	,	,	PUNCT
ejpam-1374	97	14	b	b	NOUN
ejpam-1374	97	15	)	)	PUNCT
ejpam-1374	97	16	(	(	PUNCT
ejpam-1374	97	17	β	β	X
ejpam-1374	97	18	>	>	X
ejpam-1374	97	19	0	0	NUM
ejpam-1374	97	20	)	)	PUNCT
ejpam-1374	97	21	,	,	PUNCT
ejpam-1374	97	22	then	then	ADV
ejpam-1374	97	23	−	−	PROPN
ejpam-1374	97	24	zp+1	zp+1	NUM
ejpam-1374	97	25	�	�	PROPN
ejpam-1374	97	26	pα	pα	PROPN
ejpam-1374	97	27	β	β	NOUN
ejpam-1374	97	28	,	,	PUNCT
ejpam-1374	97	29	p	p	PROPN
ejpam-1374	97	30	f	f	X
ejpam-1374	97	31	(	(	PUNCT
ejpam-1374	97	32	z	z	NOUN
ejpam-1374	97	33	)	)	PUNCT
ejpam-1374	97	34	�	�	PROPN
ejpam-1374	97	35	′	′	NOUN
ejpam-1374	97	36	p	p	NOUN
ejpam-1374	97	37	≺	≺	NOUN
ejpam-1374	97	38	q1(z	q1(z	NUM
ejpam-1374	97	39	)	)	PUNCT
ejpam-1374	97	40	≺	≺	NOUN
ejpam-1374	97	41	1+az	1+az	PUNCT
ejpam-1374	97	42	1	1	NUM
ejpam-1374	97	43	+	+	NUM
ejpam-1374	97	44	bz	bz	PROPN
ejpam-1374	97	45	(	(	PUNCT
ejpam-1374	97	46	z	z	NOUN
ejpam-1374	97	47	∈	∈	PROPN
ejpam-1374	97	48	u	u	NOUN
ejpam-1374	97	49	)	)	PUNCT
ejpam-1374	97	50	,	,	PUNCT
ejpam-1374	97	51	(	(	PUNCT
ejpam-1374	97	52	20	20	NUM
ejpam-1374	97	53	)	)	PUNCT
ejpam-1374	97	54	where	where	SCONJ
ejpam-1374	97	55	the	the	DET
ejpam-1374	97	56	function	function	NOUN
ejpam-1374	97	57	q1(z	q1(z	VERB
ejpam-1374	97	58	)	)	PUNCT
ejpam-1374	97	59	given	give	VERB
ejpam-1374	97	60	by	by	ADP
ejpam-1374	97	61	q1(z	q1(z	PROPN
ejpam-1374	97	62	)	)	PUNCT
ejpam-1374	97	63	=	=	PUNCT
ejpam-1374	97	64			PROPN
ejpam-1374	97	65			PROPN
ejpam-1374	97	66			NOUN
ejpam-1374	97	67	a	a	DET
ejpam-1374	97	68	b	b	NOUN
ejpam-1374	97	69	+	+	CCONJ
ejpam-1374	97	70	(	(	PUNCT
ejpam-1374	97	71	1−	1−	NUM
ejpam-1374	97	72	a	a	DET
ejpam-1374	97	73	b	b	NOUN
ejpam-1374	97	74	)	)	PUNCT
ejpam-1374	97	75	(	(	PUNCT
ejpam-1374	97	76	1	1	NUM
ejpam-1374	97	77	+	+	NUM
ejpam-1374	97	78	bz)−1	bz)−1	NOUN
ejpam-1374	97	79	2f1(1,1	2f1(1,1	NUM
ejpam-1374	97	80	;	;	PUNCT
ejpam-1374	97	81	β	β	X
ejpam-1374	97	82	λ(p+m	λ(p+m	NOUN
ejpam-1374	97	83	)	)	PUNCT
ejpam-1374	98	1	+	+	CCONJ
ejpam-1374	98	2	1	1	NUM
ejpam-1374	98	3	;	;	PUNCT
ejpam-1374	98	4	bz	bz	PROPN
ejpam-1374	98	5	bz+1	bz+1	PROPN
ejpam-1374	98	6	)	)	PUNCT
ejpam-1374	99	1	(	(	PUNCT
ejpam-1374	99	2	b	b	X
ejpam-1374	99	3	6=	6=	NUM
ejpam-1374	99	4	0	0	NUM
ejpam-1374	99	5	)	)	PUNCT
ejpam-1374	99	6	1	1	NUM
ejpam-1374	99	7	+	+	CCONJ
ejpam-1374	99	8	β	β	X
ejpam-1374	99	9	β+λ(p+m	β+λ(p+m	NOUN
ejpam-1374	99	10	)	)	PUNCT
ejpam-1374	99	11	az	az	PROPN
ejpam-1374	99	12	(	(	PUNCT
ejpam-1374	99	13	b	b	NOUN
ejpam-1374	99	14	=	=	NOUN
ejpam-1374	99	15	0	0	NUM
ejpam-1374	99	16	)	)	PUNCT
ejpam-1374	99	17	,	,	PUNCT
ejpam-1374	99	18	is	be	AUX
ejpam-1374	99	19	the	the	DET
ejpam-1374	99	20	best	good	ADJ
ejpam-1374	99	21	dominant	dominant	NOUN
ejpam-1374	99	22	of	of	ADP
ejpam-1374	99	23	(	(	PUNCT
ejpam-1374	99	24	20	20	NUM
ejpam-1374	99	25	)	)	PUNCT
ejpam-1374	99	26	.	.	PUNCT
ejpam-1374	100	1	furthermore	furthermore	ADV
ejpam-1374	100	2	,	,	PUNCT
ejpam-1374	100	3	re	re	AUX
ejpam-1374	100	4			VERB
ejpam-1374	100	5			NOUN
ejpam-1374	100	6			NOUN
ejpam-1374	100	7			NOUN
ejpam-1374	100	8	−	−	ADP
ejpam-1374	100	9	zp+1	zp+1	NUM
ejpam-1374	100	10	�	�	PROPN
ejpam-1374	100	11	pα	pα	PROPN
ejpam-1374	100	12	β	β	NOUN
ejpam-1374	100	13	,	,	PUNCT
ejpam-1374	100	14	p	p	PROPN
ejpam-1374	100	15	f	f	X
ejpam-1374	100	16	(	(	PUNCT
ejpam-1374	100	17	z	z	NOUN
ejpam-1374	100	18	)	)	PUNCT
ejpam-1374	100	19	�	�	PROPN
ejpam-1374	100	20	′	′	NUM
ejpam-1374	101	1	p	p	X
ejpam-1374	101	2			PROPN
ejpam-1374	101	3			NOUN
ejpam-1374	101	4			VERB
ejpam-1374	101	5			PUNCT
ejpam-1374	102	1	>	>	X
ejpam-1374	102	2	ρ	ρ	PROPN
ejpam-1374	102	3	(	(	PUNCT
ejpam-1374	102	4	z	z	NOUN
ejpam-1374	102	5	∈	∈	PROPN
ejpam-1374	102	6	u	u	NOUN
ejpam-1374	102	7	)	)	PUNCT
ejpam-1374	102	8	,	,	PUNCT
ejpam-1374	102	9	(	(	PUNCT
ejpam-1374	102	10	21	21	NUM
ejpam-1374	102	11	)	)	PUNCT
ejpam-1374	102	12	where	where	SCONJ
ejpam-1374	102	13	ρ(β	ρ(β	PROPN
ejpam-1374	102	14	,	,	PUNCT
ejpam-1374	102	15	p	p	X
ejpam-1374	102	16	,	,	PUNCT
ejpam-1374	102	17	λ	λ	PROPN
ejpam-1374	102	18	,	,	PUNCT
ejpam-1374	102	19	a	a	DET
ejpam-1374	102	20	,	,	PUNCT
ejpam-1374	102	21	b	b	NOUN
ejpam-1374	102	22	)	)	PUNCT
ejpam-1374	102	23	=	=	PUNCT
ejpam-1374	103	1			PROPN
ejpam-1374	103	2			VERB
ejpam-1374	103	3			NOUN
ejpam-1374	103	4	a	a	DET
ejpam-1374	103	5	b	b	NOUN
ejpam-1374	103	6	+	+	CCONJ
ejpam-1374	103	7	(	(	PUNCT
ejpam-1374	103	8	1−	1−	NUM
ejpam-1374	103	9	a	a	DET
ejpam-1374	103	10	b	b	NOUN
ejpam-1374	103	11	)	)	PUNCT
ejpam-1374	103	12	(	(	PUNCT
ejpam-1374	103	13	1−	1−	NUM
ejpam-1374	103	14	b)−1	b)−1	NOUN
ejpam-1374	103	15	2f1(1,1	2f1(1,1	NUM
ejpam-1374	103	16	;	;	PUNCT
ejpam-1374	103	17	β	β	X
ejpam-1374	103	18	λ(p+m	λ(p+m	NOUN
ejpam-1374	103	19	)	)	PUNCT
ejpam-1374	103	20	+	+	CCONJ
ejpam-1374	103	21	1	1	NUM
ejpam-1374	103	22	;	;	PUNCT
ejpam-1374	103	23	b	b	X
ejpam-1374	103	24	b−1	b−1	PROPN
ejpam-1374	103	25	)	)	PUNCT
ejpam-1374	103	26	(	(	PUNCT
ejpam-1374	103	27	b	b	X
ejpam-1374	103	28	6=	6=	NUM
ejpam-1374	103	29	0	0	NUM
ejpam-1374	103	30	)	)	PUNCT
ejpam-1374	103	31	1−	1−	NUM
ejpam-1374	103	32	β	β	X
ejpam-1374	103	33	β+λ(p+m	β+λ(p+m	NOUN
ejpam-1374	103	34	)	)	PUNCT
ejpam-1374	103	35	a	a	DET
ejpam-1374	103	36	(	(	PUNCT
ejpam-1374	103	37	b	b	NOUN
ejpam-1374	103	38	=	=	NOUN
ejpam-1374	103	39	0	0	NUM
ejpam-1374	103	40	)	)	PUNCT
ejpam-1374	103	41	.	.	PUNCT
ejpam-1374	104	1	the	the	DET
ejpam-1374	104	2	result	result	NOUN
ejpam-1374	104	3	is	be	AUX
ejpam-1374	104	4	the	the	DET
ejpam-1374	104	5	best	good	ADJ
ejpam-1374	104	6	possible	possible	ADJ
ejpam-1374	104	7	.	.	PUNCT
ejpam-1374	105	1	proof	proof	NOUN
ejpam-1374	105	2	.	.	PUNCT
ejpam-1374	106	1	setting	set	VERB
ejpam-1374	106	2	φ(z	φ(z	NOUN
ejpam-1374	106	3	)	)	PUNCT
ejpam-1374	106	4	=	=	SYM
ejpam-1374	107	1	−	−	PROPN
ejpam-1374	107	2	zp+1	zp+1	NUM
ejpam-1374	107	3	�	�	PROPN
ejpam-1374	107	4	pα	pα	PROPN
ejpam-1374	107	5	β	β	NOUN
ejpam-1374	107	6	,	,	PUNCT
ejpam-1374	107	7	p	p	PROPN
ejpam-1374	107	8	f	f	X
ejpam-1374	107	9	(	(	PUNCT
ejpam-1374	107	10	z	z	NOUN
ejpam-1374	107	11	)	)	PUNCT
ejpam-1374	107	12	�	�	PROPN
ejpam-1374	107	13	′	′	NOUN
ejpam-1374	107	14	p	p	NOUN
ejpam-1374	107	15	(	(	PUNCT
ejpam-1374	107	16	z	z	NOUN
ejpam-1374	107	17	∈	∈	PROPN
ejpam-1374	107	18	u	u	NOUN
ejpam-1374	107	19	)	)	PUNCT
ejpam-1374	107	20	.	.	PUNCT
ejpam-1374	108	1	(	(	PUNCT
ejpam-1374	108	2	22	22	NUM
ejpam-1374	108	3	)	)	PUNCT
ejpam-1374	108	4	then	then	ADV
ejpam-1374	108	5	the	the	DET
ejpam-1374	108	6	function	function	NOUN
ejpam-1374	108	7	φ(z	φ(z	PROPN
ejpam-1374	108	8	)	)	PUNCT
ejpam-1374	108	9	is	be	AUX
ejpam-1374	108	10	of	of	ADP
ejpam-1374	108	11	the	the	DET
ejpam-1374	108	12	form	form	NOUN
ejpam-1374	108	13	(	(	PUNCT
ejpam-1374	108	14	12	12	NUM
ejpam-1374	108	15	)	)	PUNCT
ejpam-1374	108	16	and	and	CCONJ
ejpam-1374	108	17	is	be	AUX
ejpam-1374	108	18	analytic	analytic	ADJ
ejpam-1374	108	19	in	in	ADP
ejpam-1374	108	20	u	u	PROPN
ejpam-1374	108	21	.	.	PUNCT
ejpam-1374	109	1	differentiating	differentiate	VERB
ejpam-1374	109	2	(	(	PUNCT
ejpam-1374	109	3	22	22	NUM
ejpam-1374	109	4	)	)	PUNCT
ejpam-1374	109	5	,	,	PUNCT
ejpam-1374	109	6	and	and	CCONJ
ejpam-1374	109	7	with	with	ADP
ejpam-1374	109	8	the	the	DET
ejpam-1374	109	9	aid	aid	NOUN
ejpam-1374	109	10	of	of	ADP
ejpam-1374	109	11	the	the	DET
ejpam-1374	109	12	identity	identity	NOUN
ejpam-1374	109	13	(	(	PUNCT
ejpam-1374	109	14	8)	8)	NUM
ejpam-1374	109	15	we	we	PRON
ejpam-1374	109	16	get	get	VERB
ejpam-1374	109	17	φ(z	φ(z	PROPN
ejpam-1374	109	18	)	)	PUNCT
ejpam-1374	110	1	+	+	CCONJ
ejpam-1374	110	2	λzφ	λzφ	ADJ
ejpam-1374	110	3	′	′	NUM
ejpam-1374	110	4	(	(	PUNCT
ejpam-1374	110	5	z	z	NOUN
ejpam-1374	110	6	)	)	PUNCT
ejpam-1374	110	7	β	β	X
ejpam-1374	110	8	=	=	SYM
ejpam-1374	110	9	−zp+1	−zp+1	PROPN
ejpam-1374	111	1	p	p	PROPN
ejpam-1374	111	2	�	�	PROPN
ejpam-1374	111	3	(	(	PUNCT
ejpam-1374	111	4	1−λ	1−λ	NUM
ejpam-1374	111	5	)	)	PUNCT
ejpam-1374	111	6	�	�	PROPN
ejpam-1374	111	7	pαβ	pαβ	NOUN
ejpam-1374	111	8	,	,	PUNCT
ejpam-1374	111	9	p	p	PROPN
ejpam-1374	111	10	f	f	X
ejpam-1374	111	11	(	(	PUNCT
ejpam-1374	111	12	z	z	NOUN
ejpam-1374	111	13	)	)	PUNCT
ejpam-1374	111	14	�	�	PROPN
ejpam-1374	111	15	′	′	NUM
ejpam-1374	112	1	+	+	PROPN
ejpam-1374	112	2	λ	λ	PROPN
ejpam-1374	112	3	�	�	PROPN
ejpam-1374	112	4	pα−1	pα−1	PROPN
ejpam-1374	112	5	β	β	PROPN
ejpam-1374	112	6	,	,	PUNCT
ejpam-1374	112	7	p	p	PROPN
ejpam-1374	112	8	f	f	X
ejpam-1374	112	9	(	(	PUNCT
ejpam-1374	112	10	z	z	NOUN
ejpam-1374	112	11	)	)	PUNCT
ejpam-1374	112	12	�	�	PROPN
ejpam-1374	112	13	′	′	NUM
ejpam-1374	112	14	�	�	PROPN
ejpam-1374	112	15	≺	≺	NOUN
ejpam-1374	112	16	1	1	NUM
ejpam-1374	112	17	+	+	NUM
ejpam-1374	112	18	az	az	PROPN
ejpam-1374	112	19	1	1	NUM
ejpam-1374	112	20	+	+	CCONJ
ejpam-1374	112	21	bz	bz	PROPN
ejpam-1374	112	22	(	(	PUNCT
ejpam-1374	112	23	z	z	NOUN
ejpam-1374	112	24	∈	∈	PROPN
ejpam-1374	112	25	u	u	NOUN
ejpam-1374	112	26	)	)	PUNCT
ejpam-1374	112	27	.	.	PUNCT
ejpam-1374	113	1	(	(	PUNCT
ejpam-1374	113	2	23	23	X
ejpam-1374	113	3	)	)	PUNCT
ejpam-1374	113	4	m.	m.	NOUN
ejpam-1374	113	5	aouf	aouf	PROPN
ejpam-1374	113	6	,	,	PUNCT
ejpam-1374	113	7	a.	a.	NOUN
ejpam-1374	113	8	shamandy	shamandy	NOUN
ejpam-1374	113	9	,	,	PUNCT
ejpam-1374	113	10	a.	a.	PROPN
ejpam-1374	113	11	mostafa	mostafa	PROPN
ejpam-1374	113	12	,	,	PUNCT
ejpam-1374	113	13	f.	f.	PROPN
ejpam-1374	113	14	el	el	PROPN
ejpam-1374	113	15	-	-	PUNCT
ejpam-1374	113	16	emam	emam	PROPN
ejpam-1374	113	17	/	/	SYM
ejpam-1374	113	18	eur	eur	PROPN
ejpam-1374	113	19	.	.	PUNCT
ejpam-1374	114	1	j.	j.	PROPN
ejpam-1374	114	2	pure	pure	PROPN
ejpam-1374	114	3	appl	appl	PROPN
ejpam-1374	114	4	.	.	PROPN
ejpam-1374	114	5	math	math	PROPN
ejpam-1374	114	6	,	,	PUNCT
ejpam-1374	114	7	4	4	NUM
ejpam-1374	114	8	(	(	PUNCT
ejpam-1374	114	9	2011	2011	NUM
ejpam-1374	114	10	)	)	PUNCT
ejpam-1374	114	11	,	,	PUNCT
ejpam-1374	114	12	435	435	NUM
ejpam-1374	114	13	-	-	SYM
ejpam-1374	114	14	447	447	NUM
ejpam-1374	114	15	440	440	NUM
ejpam-1374	114	16	now	now	ADV
ejpam-1374	114	17	,	,	PUNCT
ejpam-1374	114	18	by	by	ADP
ejpam-1374	114	19	using	use	VERB
ejpam-1374	114	20	lemma	lemma	PROPN
ejpam-1374	114	21	1	1	NUM
ejpam-1374	114	22	for	for	ADP
ejpam-1374	114	23	γ	γ	X
ejpam-1374	114	24	=	=	SYM
ejpam-1374	114	25	β	β	X
ejpam-1374	114	26	λ	λ	NOUN
ejpam-1374	114	27	,	,	PUNCT
ejpam-1374	114	28	we	we	PRON
ejpam-1374	114	29	deduce	deduce	VERB
ejpam-1374	114	30	that	that	DET
ejpam-1374	114	31	φ(z	φ(z	NOUN
ejpam-1374	114	32	)	)	PUNCT
ejpam-1374	114	33	≺	≺	NOUN
ejpam-1374	114	34	q1(z	q1(z	NUM
ejpam-1374	114	35	)	)	PUNCT
ejpam-1374	114	36	=	=	PUNCT
ejpam-1374	114	37	β	β	X
ejpam-1374	114	38	λ	λ	X
ejpam-1374	114	39	z	z	NOUN
ejpam-1374	114	40	−	−	NOUN
ejpam-1374	114	41	β	β	SYM
ejpam-1374	114	42	λ(p+m	λ(p+m	NOUN
ejpam-1374	114	43	)	)	PUNCT
ejpam-1374	114	44	z	z	NOUN
ejpam-1374	114	45	∫	∫	PROPN
ejpam-1374	114	46	0	0	NUM
ejpam-1374	115	1	t	t	PROPN
ejpam-1374	115	2	β	β	X
ejpam-1374	115	3	λ(p+m	λ(p+m	NOUN
ejpam-1374	115	4	)	)	PUNCT
ejpam-1374	115	5	−1	−1	NOUN
ejpam-1374	115	6	(	(	PUNCT
ejpam-1374	115	7	1+at	1+at	NUM
ejpam-1374	115	8	1	1	NUM
ejpam-1374	115	9	+	+	NUM
ejpam-1374	115	10	bt	bt	NOUN
ejpam-1374	115	11	)	)	PUNCT
ejpam-1374	115	12	d	d	NOUN
ejpam-1374	115	13	t	t	NOUN
ejpam-1374	115	14	=	=	PUNCT
ejpam-1374	115	15			PROPN
ejpam-1374	115	16			PROPN
ejpam-1374	115	17			NOUN
ejpam-1374	115	18	a	a	DET
ejpam-1374	115	19	b	b	NOUN
ejpam-1374	115	20	+	+	CCONJ
ejpam-1374	115	21	(	(	PUNCT
ejpam-1374	115	22	1−	1−	NUM
ejpam-1374	115	23	a	a	DET
ejpam-1374	115	24	b	b	NOUN
ejpam-1374	115	25	)	)	PUNCT
ejpam-1374	115	26	(	(	PUNCT
ejpam-1374	115	27	1	1	NUM
ejpam-1374	115	28	+	+	NUM
ejpam-1374	115	29	bz)−1	bz)−1	NOUN
ejpam-1374	115	30	2f1(1,1	2f1(1,1	NUM
ejpam-1374	115	31	;	;	PUNCT
ejpam-1374	115	32	β	β	X
ejpam-1374	115	33	λ(p+m	λ(p+m	NOUN
ejpam-1374	115	34	)	)	PUNCT
ejpam-1374	116	1	+	+	CCONJ
ejpam-1374	116	2	1	1	NUM
ejpam-1374	116	3	;	;	PUNCT
ejpam-1374	116	4	bz	bz	PROPN
ejpam-1374	116	5	bz+1	bz+1	PROPN
ejpam-1374	116	6	)	)	PUNCT
ejpam-1374	117	1	(	(	PUNCT
ejpam-1374	117	2	b	b	X
ejpam-1374	117	3	6=	6=	NUM
ejpam-1374	117	4	0	0	NUM
ejpam-1374	117	5	)	)	PUNCT
ejpam-1374	117	6	1	1	NUM
ejpam-1374	117	7	+	+	CCONJ
ejpam-1374	117	8	β	β	X
ejpam-1374	117	9	β+λ(p+m	β+λ(p+m	NOUN
ejpam-1374	117	10	)	)	PUNCT
ejpam-1374	117	11	az	az	PROPN
ejpam-1374	117	12	(	(	PUNCT
ejpam-1374	117	13	b	b	NOUN
ejpam-1374	117	14	=	=	NOUN
ejpam-1374	117	15	0	0	NUM
ejpam-1374	117	16	)	)	PUNCT
ejpam-1374	117	17	,	,	PUNCT
ejpam-1374	117	18	by	by	ADP
ejpam-1374	117	19	change	change	NOUN
ejpam-1374	117	20	of	of	ADP
ejpam-1374	117	21	variables	variable	NOUN
ejpam-1374	117	22	followed	follow	VERB
ejpam-1374	117	23	by	by	ADP
ejpam-1374	117	24	the	the	DET
ejpam-1374	117	25	use	use	NOUN
ejpam-1374	117	26	of	of	ADP
ejpam-1374	117	27	the	the	DET
ejpam-1374	117	28	identities	identity	NOUN
ejpam-1374	117	29	(	(	PUNCT
ejpam-1374	117	30	16	16	NUM
ejpam-1374	117	31	)	)	PUNCT
ejpam-1374	117	32	and	and	CCONJ
ejpam-1374	117	33	(	(	PUNCT
ejpam-1374	117	34	17	17	NUM
ejpam-1374	117	35	)	)	PUNCT
ejpam-1374	117	36	(	(	PUNCT
ejpam-1374	117	37	with	with	ADP
ejpam-1374	117	38	a	a	DET
ejpam-1374	117	39	=	=	SYM
ejpam-1374	117	40	1	1	NUM
ejpam-1374	117	41	,	,	PUNCT
ejpam-1374	117	42	b	b	NOUN
ejpam-1374	117	43	=	=	SYM
ejpam-1374	117	44	β	β	X
ejpam-1374	117	45	λ	λ	NOUN
ejpam-1374	117	46	andc	andc	NOUN
ejpam-1374	117	47	=	=	SYM
ejpam-1374	117	48	b+1	b+1	NOUN
ejpam-1374	117	49	)	)	PUNCT
ejpam-1374	117	50	.	.	PUNCT
ejpam-1374	118	1	this	this	PRON
ejpam-1374	118	2	proves	prove	VERB
ejpam-1374	118	3	the	the	DET
ejpam-1374	118	4	assertion	assertion	NOUN
ejpam-1374	118	5	(	(	PUNCT
ejpam-1374	118	6	20	20	NUM
ejpam-1374	118	7	)	)	PUNCT
ejpam-1374	118	8	of	of	ADP
ejpam-1374	118	9	theorem	theorem	NOUN
ejpam-1374	118	10	1	1	NUM
ejpam-1374	118	11	.	.	PUNCT
ejpam-1374	119	1	next	next	ADV
ejpam-1374	119	2	,	,	PUNCT
ejpam-1374	119	3	to	to	PART
ejpam-1374	119	4	prove	prove	VERB
ejpam-1374	119	5	the	the	DET
ejpam-1374	119	6	assertion	assertion	NOUN
ejpam-1374	119	7	(	(	PUNCT
ejpam-1374	119	8	21	21	NUM
ejpam-1374	119	9	)	)	PUNCT
ejpam-1374	119	10	of	of	ADP
ejpam-1374	119	11	theorem	theorem	NOUN
ejpam-1374	119	12	1	1	NUM
ejpam-1374	119	13	,	,	PUNCT
ejpam-1374	119	14	it	it	PRON
ejpam-1374	119	15	suffices	suffice	VERB
ejpam-1374	119	16	to	to	PART
ejpam-1374	119	17	show	show	VERB
ejpam-1374	119	18	that	that	DET
ejpam-1374	119	19	inf	inf	PROPN
ejpam-1374	119	20	|z|<1	|z|<1	X
ejpam-1374	119	21	{	{	PUNCT
ejpam-1374	119	22	re(q1(z))}=	re(q1(z))}=	PROPN
ejpam-1374	119	23	q1(−1	q1(−1	PROPN
ejpam-1374	119	24	)	)	PUNCT
ejpam-1374	119	25	.	.	PUNCT
ejpam-1374	120	1	(	(	PUNCT
ejpam-1374	120	2	24	24	NUM
ejpam-1374	120	3	)	)	PUNCT
ejpam-1374	120	4	indeed	indeed	ADV
ejpam-1374	120	5	,	,	PUNCT
ejpam-1374	120	6	for	for	ADP
ejpam-1374	120	7	|z|	|z|	NOUN
ejpam-1374	120	8	≤	≤	NUM
ejpam-1374	120	9	r	r	NOUN
ejpam-1374	120	10	<	<	X
ejpam-1374	120	11	1	1	NUM
ejpam-1374	120	12	,	,	PUNCT
ejpam-1374	120	13	re	re	VERB
ejpam-1374	120	14	(	(	PUNCT
ejpam-1374	120	15	1	1	NUM
ejpam-1374	120	16	+	+	NUM
ejpam-1374	120	17	az	az	PROPN
ejpam-1374	120	18	1	1	NUM
ejpam-1374	120	19	+	+	CCONJ
ejpam-1374	120	20	bz	bz	PROPN
ejpam-1374	120	21	)	)	PUNCT
ejpam-1374	120	22	≥	≥	NOUN
ejpam-1374	120	23	1−	1−	NUM
ejpam-1374	120	24	ar	ar	PROPN
ejpam-1374	120	25	1−	1−	NUM
ejpam-1374	120	26	br	br	NOUN
ejpam-1374	120	27	.	.	PUNCT
ejpam-1374	121	1	setting	set	VERB
ejpam-1374	121	2	g(s	g(s	NOUN
ejpam-1374	121	3	,	,	PUNCT
ejpam-1374	121	4	z	z	NOUN
ejpam-1374	121	5	)	)	PUNCT
ejpam-1374	121	6	=	=	SYM
ejpam-1374	122	1	1	1	NUM
ejpam-1374	122	2	+	+	NUM
ejpam-1374	122	3	asz	asz	NOUN
ejpam-1374	122	4	1	1	NUM
ejpam-1374	122	5	+	+	NOUN
ejpam-1374	122	6	bsz	bsz	NOUN
ejpam-1374	122	7	and	and	CCONJ
ejpam-1374	122	8	dµ(s	dµ(	NOUN
ejpam-1374	122	9	)	)	PUNCT
ejpam-1374	123	1	=	=	SYM
ejpam-1374	123	2	β	β	X
ejpam-1374	123	3	λ(p+m	λ(p+m	NOUN
ejpam-1374	123	4	)	)	PUNCT
ejpam-1374	123	5	s	s	PART
ejpam-1374	123	6	β	β	X
ejpam-1374	123	7	λ(p+m	λ(p+m	NOUN
ejpam-1374	123	8	)	)	PUNCT
ejpam-1374	123	9	−1	−1	NOUN
ejpam-1374	123	10	ds	ds	NOUN
ejpam-1374	123	11	(	(	PUNCT
ejpam-1374	123	12	0≤	0≤	NOUN
ejpam-1374	123	13	s	s	PART
ejpam-1374	123	14	≤	≤	NUM
ejpam-1374	123	15	1	1	NUM
ejpam-1374	123	16	)	)	PUNCT
ejpam-1374	123	17	,	,	PUNCT
ejpam-1374	123	18	which	which	PRON
ejpam-1374	123	19	is	be	AUX
ejpam-1374	123	20	a	a	DET
ejpam-1374	123	21	positive	positive	ADJ
ejpam-1374	123	22	measure	measure	NOUN
ejpam-1374	123	23	on	on	ADP
ejpam-1374	123	24	[	[	X
ejpam-1374	123	25	0,1	0,1	NUM
ejpam-1374	123	26	]	]	PUNCT
ejpam-1374	123	27	,	,	PUNCT
ejpam-1374	123	28	we	we	PRON
ejpam-1374	123	29	get	get	VERB
ejpam-1374	123	30	q1(z	q1(z	VERB
ejpam-1374	123	31	)	)	PUNCT
ejpam-1374	123	32	=	=	SYM
ejpam-1374	123	33	1	1	NUM
ejpam-1374	123	34	∫	∫	NOUN
ejpam-1374	123	35	0	0	NUM
ejpam-1374	123	36	g(s	g(s	PROPN
ejpam-1374	123	37	,	,	PUNCT
ejpam-1374	123	38	z)dµ(s	z)dµ(s	NUM
ejpam-1374	123	39	)	)	PUNCT
ejpam-1374	123	40	,	,	PUNCT
ejpam-1374	123	41	so	so	SCONJ
ejpam-1374	123	42	that	that	SCONJ
ejpam-1374	123	43	re(q1(z))≥	re(q1(z))≥	PROPN
ejpam-1374	123	44	1	1	NUM
ejpam-1374	123	45	∫	∫	NOUN
ejpam-1374	123	46	0	0	PROPN
ejpam-1374	123	47	1−	1−	NUM
ejpam-1374	123	48	asr	asr	PROPN
ejpam-1374	123	49	1−	1−	NUM
ejpam-1374	123	50	bsr	bsr	PROPN
ejpam-1374	123	51	dµ(s	dµ(	NOUN
ejpam-1374	123	52	)	)	PUNCT
ejpam-1374	123	53	=	=	SYM
ejpam-1374	123	54	q1(−r	q1(−r	NOUN
ejpam-1374	123	55	)	)	PUNCT
ejpam-1374	123	56	(	(	PUNCT
ejpam-1374	123	57	|z|	|z|	VERB
ejpam-1374	123	58	≤	≤	NUM
ejpam-1374	123	59	r	r	NOUN
ejpam-1374	123	60	<	<	X
ejpam-1374	123	61	1	1	NUM
ejpam-1374	123	62	)	)	PUNCT
ejpam-1374	123	63	.	.	PUNCT
ejpam-1374	124	1	letting	let	VERB
ejpam-1374	124	2	r	r	PRON
ejpam-1374	124	3	→	→	SYM
ejpam-1374	124	4	1−	1−	NUM
ejpam-1374	124	5	in	in	ADP
ejpam-1374	124	6	the	the	DET
ejpam-1374	124	7	above	above	ADJ
ejpam-1374	124	8	inequality	inequality	NOUN
ejpam-1374	124	9	,	,	PUNCT
ejpam-1374	124	10	we	we	PRON
ejpam-1374	124	11	obtain	obtain	VERB
ejpam-1374	124	12	the	the	DET
ejpam-1374	124	13	assertion	assertion	NOUN
ejpam-1374	124	14	(	(	PUNCT
ejpam-1374	124	15	24	24	NUM
ejpam-1374	124	16	)	)	PUNCT
ejpam-1374	124	17	.	.	PUNCT
ejpam-1374	125	1	the	the	DET
ejpam-1374	125	2	result	result	NOUN
ejpam-1374	125	3	in	in	ADP
ejpam-1374	125	4	(	(	PUNCT
ejpam-1374	125	5	21	21	NUM
ejpam-1374	125	6	)	)	PUNCT
ejpam-1374	125	7	is	be	AUX
ejpam-1374	125	8	best	well	ADV
ejpam-1374	125	9	possible	possible	ADJ
ejpam-1374	125	10	as	as	SCONJ
ejpam-1374	125	11	the	the	DET
ejpam-1374	125	12	function	function	NOUN
ejpam-1374	125	13	q1(z	q1(z	PROPN
ejpam-1374	125	14	)	)	PUNCT
ejpam-1374	125	15	is	be	AUX
ejpam-1374	125	16	the	the	DET
ejpam-1374	125	17	best	good	ADJ
ejpam-1374	125	18	dominant	dominant	NOUN
ejpam-1374	125	19	of	of	ADP
ejpam-1374	125	20	(	(	PUNCT
ejpam-1374	125	21	20	20	NUM
ejpam-1374	125	22	)	)	PUNCT
ejpam-1374	125	23	.	.	PUNCT
ejpam-1374	126	1	putting	put	VERB
ejpam-1374	126	2	λ=	λ=	ADJ
ejpam-1374	126	3	σ	σ	PROPN
ejpam-1374	126	4	1−σ(p+1	1−σ(p+1	NUM
ejpam-1374	126	5	)	)	PUNCT
ejpam-1374	126	6	β(0	β(0	PROPN
ejpam-1374	126	7	<	<	X
ejpam-1374	126	8	σ	σ	X
ejpam-1374	126	9	<	<	X
ejpam-1374	126	10	1	1	NUM
ejpam-1374	126	11	p+1	p+1	NOUN
ejpam-1374	126	12	;	;	PUNCT
ejpam-1374	126	13	β	β	X
ejpam-1374	126	14	>	>	X
ejpam-1374	126	15	0	0	NUM
ejpam-1374	126	16	)	)	PUNCT
ejpam-1374	126	17	in	in	ADP
ejpam-1374	126	18	theorem	theorem	NOUN
ejpam-1374	126	19	1	1	NUM
ejpam-1374	126	20	,	,	PUNCT
ejpam-1374	126	21	we	we	PRON
ejpam-1374	126	22	get	get	VERB
ejpam-1374	126	23	the	the	DET
ejpam-1374	126	24	following	follow	VERB
ejpam-1374	126	25	result	result	NOUN
ejpam-1374	126	26	.	.	PUNCT
ejpam-1374	127	1	corollary	corollary	ADJ
ejpam-1374	127	2	1	1	NUM
ejpam-1374	127	3	.	.	PUNCT
ejpam-1374	128	1	if	if	SCONJ
ejpam-1374	128	2	f	f	PROPN
ejpam-1374	128	3	(	(	PUNCT
ejpam-1374	128	4	z	z	NOUN
ejpam-1374	128	5	)	)	PUNCT
ejpam-1374	128	6	∈∑p	∈∑p	NOUN
ejpam-1374	128	7	,	,	PUNCT
ejpam-1374	128	8	m	m	VERB
ejpam-1374	128	9	satisfies	satisfie	NOUN
ejpam-1374	128	10	−zp+1	−zp+1	PROPN
ejpam-1374	128	11	[	[	PUNCT
ejpam-1374	128	12	�	�	PROPN
ejpam-1374	128	13	pα	pα	NOUN
ejpam-1374	128	14	β	β	NOUN
ejpam-1374	128	15	,	,	PUNCT
ejpam-1374	128	16	p	p	PROPN
ejpam-1374	128	17	f	f	X
ejpam-1374	128	18	(	(	PUNCT
ejpam-1374	128	19	z	z	NOUN
ejpam-1374	128	20	)	)	PUNCT
ejpam-1374	128	21	�	�	PROPN
ejpam-1374	128	22	′	′	NUM
ejpam-1374	129	1	+	+	NOUN
ejpam-1374	129	2	σz	σz	PROPN
ejpam-1374	129	3	�	�	PROPN
ejpam-1374	129	4	pα	pα	PROPN
ejpam-1374	129	5	β	β	NOUN
ejpam-1374	129	6	,	,	PUNCT
ejpam-1374	129	7	p	p	PROPN
ejpam-1374	129	8	f	f	X
ejpam-1374	129	9	(	(	PUNCT
ejpam-1374	129	10	z	z	NOUN
ejpam-1374	129	11	)	)	PUNCT
ejpam-1374	129	12	�	�	PROPN
ejpam-1374	130	1	′′	′′	PROPN
ejpam-1374	130	2	]	]	PUNCT
ejpam-1374	130	3	p[1−σ(p+	p[1−σ(p+	PROPN
ejpam-1374	130	4	1	1	NUM
ejpam-1374	130	5	)	)	PUNCT
ejpam-1374	130	6	]	]	PUNCT
ejpam-1374	130	7	≺	≺	NOUN
ejpam-1374	130	8	1	1	NUM
ejpam-1374	130	9	+	+	NUM
ejpam-1374	130	10	az	az	PROPN
ejpam-1374	130	11	1	1	NUM
ejpam-1374	130	12	+	+	CCONJ
ejpam-1374	130	13	bz	bz	PROPN
ejpam-1374	130	14	(	(	PUNCT
ejpam-1374	130	15	z	z	NOUN
ejpam-1374	130	16	∈	∈	PROPN
ejpam-1374	130	17	u	u	NOUN
ejpam-1374	130	18	)	)	PUNCT
ejpam-1374	130	19	,	,	PUNCT
ejpam-1374	130	20	then	then	ADV
ejpam-1374	130	21	−	−	PROPN
ejpam-1374	130	22	zp+1	zp+1	NUM
ejpam-1374	130	23	�	�	PROPN
ejpam-1374	130	24	pα	pα	PROPN
ejpam-1374	130	25	β	β	NOUN
ejpam-1374	130	26	,	,	PUNCT
ejpam-1374	130	27	p	p	PROPN
ejpam-1374	130	28	f	f	X
ejpam-1374	130	29	(	(	PUNCT
ejpam-1374	130	30	z	z	NOUN
ejpam-1374	130	31	)	)	PUNCT
ejpam-1374	130	32	�	�	PROPN
ejpam-1374	130	33	′	′	NUM
ejpam-1374	130	34	p	p	NOUN
ejpam-1374	130	35	≺	≺	NOUN
ejpam-1374	130	36	q2(z	q2(z	NOUN
ejpam-1374	130	37	)	)	PUNCT
ejpam-1374	130	38	≺	≺	NOUN
ejpam-1374	130	39	1+az	1+az	NUM
ejpam-1374	131	1	1	1	NUM
ejpam-1374	131	2	+	+	NUM
ejpam-1374	131	3	bz	bz	PROPN
ejpam-1374	131	4	(	(	PUNCT
ejpam-1374	131	5	z	z	NOUN
ejpam-1374	131	6	∈	∈	PROPN
ejpam-1374	131	7	u	u	NOUN
ejpam-1374	131	8	)	)	PUNCT
ejpam-1374	131	9	,	,	PUNCT
ejpam-1374	131	10	m.	m.	NOUN
ejpam-1374	131	11	aouf	aouf	PROPN
ejpam-1374	131	12	,	,	PUNCT
ejpam-1374	131	13	a.	a.	NOUN
ejpam-1374	131	14	shamandy	shamandy	NOUN
ejpam-1374	131	15	,	,	PUNCT
ejpam-1374	131	16	a.	a.	PROPN
ejpam-1374	131	17	mostafa	mostafa	PROPN
ejpam-1374	131	18	,	,	PUNCT
ejpam-1374	131	19	f.	f.	PROPN
ejpam-1374	131	20	el	el	PROPN
ejpam-1374	131	21	-	-	PUNCT
ejpam-1374	131	22	emam	emam	PROPN
ejpam-1374	131	23	/	/	SYM
ejpam-1374	131	24	eur	eur	PROPN
ejpam-1374	131	25	.	.	PUNCT
ejpam-1374	132	1	j.	j.	PROPN
ejpam-1374	132	2	pure	pure	PROPN
ejpam-1374	132	3	appl	appl	PROPN
ejpam-1374	132	4	.	.	PROPN
ejpam-1374	132	5	math	math	PROPN
ejpam-1374	132	6	,	,	PUNCT
ejpam-1374	132	7	4	4	NUM
ejpam-1374	132	8	(	(	PUNCT
ejpam-1374	132	9	2011	2011	NUM
ejpam-1374	132	10	)	)	PUNCT
ejpam-1374	132	11	,	,	PUNCT
ejpam-1374	132	12	435	435	NUM
ejpam-1374	132	13	-	-	SYM
ejpam-1374	132	14	447	447	NUM
ejpam-1374	132	15	441	441	NUM
ejpam-1374	132	16	where	where	SCONJ
ejpam-1374	132	17	the	the	DET
ejpam-1374	132	18	function	function	NOUN
ejpam-1374	132	19	q2(z	q2(z	NOUN
ejpam-1374	132	20	)	)	PUNCT
ejpam-1374	132	21	given	give	VERB
ejpam-1374	132	22	by	by	ADP
ejpam-1374	132	23	q2(z	q2(z	NOUN
ejpam-1374	132	24	)	)	PUNCT
ejpam-1374	132	25	=	=	PUNCT
ejpam-1374	133	1			PROPN
ejpam-1374	133	2			PROPN
ejpam-1374	133	3			NOUN
ejpam-1374	133	4	a	a	DET
ejpam-1374	133	5	b	b	NOUN
ejpam-1374	133	6	+	+	CCONJ
ejpam-1374	133	7	(	(	PUNCT
ejpam-1374	133	8	1−	1−	NUM
ejpam-1374	133	9	a	a	DET
ejpam-1374	133	10	b	b	NOUN
ejpam-1374	133	11	)	)	PUNCT
ejpam-1374	133	12	(	(	PUNCT
ejpam-1374	133	13	1	1	NUM
ejpam-1374	133	14	+	+	NUM
ejpam-1374	133	15	bz)−1	bz)−1	NOUN
ejpam-1374	133	16	2f1(1,1	2f1(1,1	NUM
ejpam-1374	133	17	;	;	PUNCT
ejpam-1374	133	18	1−σ(1−m	1−σ(1−m	NUM
ejpam-1374	133	19	)	)	PUNCT
ejpam-1374	133	20	σ(p+m	σ(p+m	NUM
ejpam-1374	133	21	)	)	PUNCT
ejpam-1374	133	22	;	;	PUNCT
ejpam-1374	133	23	bz	bz	PROPN
ejpam-1374	133	24	bz+1	bz+1	PROPN
ejpam-1374	133	25	)	)	PUNCT
ejpam-1374	133	26	(	(	PUNCT
ejpam-1374	133	27	b	b	X
ejpam-1374	133	28	6=	6=	NUM
ejpam-1374	133	29	0	0	NUM
ejpam-1374	133	30	)	)	PUNCT
ejpam-1374	133	31	1	1	NUM
ejpam-1374	133	32	+	+	NUM
ejpam-1374	133	33	1−σ(p+1	1−σ(p+1	NUM
ejpam-1374	133	34	)	)	PUNCT
ejpam-1374	133	35	1−σ(1−m	1−σ(1−m	NUM
ejpam-1374	133	36	)	)	PUNCT
ejpam-1374	133	37	az	az	PROPN
ejpam-1374	133	38	(	(	PUNCT
ejpam-1374	133	39	b	b	NOUN
ejpam-1374	133	40	=	=	NOUN
ejpam-1374	133	41	0	0	NUM
ejpam-1374	133	42	)	)	PUNCT
ejpam-1374	133	43	,	,	PUNCT
ejpam-1374	133	44	is	be	AUX
ejpam-1374	133	45	the	the	DET
ejpam-1374	133	46	best	good	ADJ
ejpam-1374	133	47	dominant	dominant	NOUN
ejpam-1374	133	48	of	of	ADP
ejpam-1374	133	49	(	(	PUNCT
ejpam-1374	133	50	20	20	NUM
ejpam-1374	133	51	)	)	PUNCT
ejpam-1374	133	52	.	.	PUNCT
ejpam-1374	134	1	furthermore	furthermore	ADV
ejpam-1374	134	2	,	,	PUNCT
ejpam-1374	134	3	re	re	AUX
ejpam-1374	134	4			VERB
ejpam-1374	134	5			NOUN
ejpam-1374	134	6			NOUN
ejpam-1374	134	7			NOUN
ejpam-1374	134	8	−	−	ADP
ejpam-1374	134	9	zp+1	zp+1	NUM
ejpam-1374	134	10	�	�	PROPN
ejpam-1374	134	11	pα	pα	PROPN
ejpam-1374	134	12	β	β	NOUN
ejpam-1374	134	13	,	,	PUNCT
ejpam-1374	134	14	p	p	PROPN
ejpam-1374	134	15	f	f	X
ejpam-1374	134	16	(	(	PUNCT
ejpam-1374	134	17	z	z	NOUN
ejpam-1374	134	18	)	)	PUNCT
ejpam-1374	134	19	�	�	PROPN
ejpam-1374	134	20	′	′	NUM
ejpam-1374	135	1	p	p	X
ejpam-1374	135	2			PROPN
ejpam-1374	135	3			NOUN
ejpam-1374	135	4			VERB
ejpam-1374	135	5			PUNCT
ejpam-1374	136	1	>	>	X
ejpam-1374	136	2	ρ	ρ	PROPN
ejpam-1374	136	3	(	(	PUNCT
ejpam-1374	136	4	p	p	PROPN
ejpam-1374	136	5	,	,	PUNCT
ejpam-1374	136	6	σ	σ	PROPN
ejpam-1374	136	7	,	,	PUNCT
ejpam-1374	136	8	a	a	DET
ejpam-1374	136	9	,	,	PUNCT
ejpam-1374	136	10	b	b	NOUN
ejpam-1374	136	11	)	)	PUNCT
ejpam-1374	136	12	(	(	PUNCT
ejpam-1374	136	13	z	z	NOUN
ejpam-1374	136	14	∈	∈	PROPN
ejpam-1374	136	15	u	u	NOUN
ejpam-1374	136	16	)	)	PUNCT
ejpam-1374	136	17	,	,	PUNCT
ejpam-1374	136	18	where	where	SCONJ
ejpam-1374	136	19	ρ(p	ρ(p	PROPN
ejpam-1374	136	20	,	,	PUNCT
ejpam-1374	136	21	σ	σ	PROPN
ejpam-1374	136	22	,	,	PUNCT
ejpam-1374	136	23	a	a	DET
ejpam-1374	136	24	,	,	PUNCT
ejpam-1374	136	25	b	b	NOUN
ejpam-1374	136	26	)	)	PUNCT
ejpam-1374	136	27	=	=	PUNCT
ejpam-1374	137	1			PROPN
ejpam-1374	137	2			VERB
ejpam-1374	137	3			NOUN
ejpam-1374	137	4	a	a	DET
ejpam-1374	137	5	b	b	NOUN
ejpam-1374	137	6	+	+	CCONJ
ejpam-1374	137	7	(	(	PUNCT
ejpam-1374	137	8	1−	1−	NUM
ejpam-1374	137	9	a	a	DET
ejpam-1374	137	10	b	b	NOUN
ejpam-1374	137	11	)	)	PUNCT
ejpam-1374	137	12	(	(	PUNCT
ejpam-1374	137	13	1−	1−	NUM
ejpam-1374	137	14	b)−1	b)−1	NOUN
ejpam-1374	137	15	2f1(1,1	2f1(1,1	NUM
ejpam-1374	137	16	;	;	PUNCT
ejpam-1374	137	17	1−σ(1−m	1−σ(1−m	NUM
ejpam-1374	137	18	)	)	PUNCT
ejpam-1374	137	19	σ(p+m	σ(p+m	NUM
ejpam-1374	137	20	)	)	PUNCT
ejpam-1374	137	21	;	;	PUNCT
ejpam-1374	137	22	b	b	X
ejpam-1374	137	23	b−1	b−1	PROPN
ejpam-1374	137	24	)	)	PUNCT
ejpam-1374	137	25	(	(	PUNCT
ejpam-1374	137	26	b	b	X
ejpam-1374	137	27	6=	6=	NUM
ejpam-1374	137	28	0	0	NUM
ejpam-1374	137	29	)	)	PUNCT
ejpam-1374	137	30	1−	1−	NUM
ejpam-1374	137	31	1−σ(p+1	1−σ(p+1	NUM
ejpam-1374	137	32	)	)	PUNCT
ejpam-1374	137	33	1−σ(1−m	1−σ(1−m	NUM
ejpam-1374	137	34	)	)	PUNCT
ejpam-1374	137	35	a	a	DET
ejpam-1374	137	36	(	(	PUNCT
ejpam-1374	137	37	b	b	NOUN
ejpam-1374	137	38	=	=	NOUN
ejpam-1374	137	39	0	0	NUM
ejpam-1374	137	40	)	)	PUNCT
ejpam-1374	137	41	.	.	PUNCT
ejpam-1374	138	1	the	the	DET
ejpam-1374	138	2	result	result	NOUN
ejpam-1374	138	3	is	be	AUX
ejpam-1374	138	4	the	the	DET
ejpam-1374	138	5	best	good	ADJ
ejpam-1374	138	6	possible	possible	ADJ
ejpam-1374	138	7	.	.	PUNCT
ejpam-1374	139	1	remark	remark	NOUN
ejpam-1374	139	2	1	1	NUM
ejpam-1374	139	3	.	.	PUNCT
ejpam-1374	140	1	for	for	ADP
ejpam-1374	140	2	m	m	PROPN
ejpam-1374	140	3	=	=	NOUN
ejpam-1374	140	4	α=	α=	NUM
ejpam-1374	140	5	0	0	NUM
ejpam-1374	140	6	and	and	CCONJ
ejpam-1374	140	7	p	p	X
ejpam-1374	140	8	=	=	ADJ
ejpam-1374	140	9	1	1	NUM
ejpam-1374	140	10	,	,	PUNCT
ejpam-1374	140	11	corollary	corollary	ADJ
ejpam-1374	140	12	1	1	NUM
ejpam-1374	140	13	reduces	reduce	VERB
ejpam-1374	140	14	to	to	ADP
ejpam-1374	140	15	the	the	DET
ejpam-1374	140	16	recent	recent	ADJ
ejpam-1374	140	17	result	result	NOUN
ejpam-1374	140	18	of	of	ADP
ejpam-1374	140	19	patel	patel	NOUN
ejpam-1374	140	20	and	and	CCONJ
ejpam-1374	140	21	sahoo	sahoo	PROPN
ejpam-1374	141	1	[	[	X
ejpam-1374	141	2	10	10	NUM
ejpam-1374	141	3	,	,	PUNCT
ejpam-1374	141	4	theorem	theorem	VERB
ejpam-1374	141	5	1	1	NUM
ejpam-1374	141	6	]	]	PUNCT
ejpam-1374	141	7	.	.	PUNCT
ejpam-1374	142	1	taking	take	VERB
ejpam-1374	142	2	a=	a=	ADV
ejpam-1374	142	3	1−	1−	NUM
ejpam-1374	142	4	2δ	2δ	NUM
ejpam-1374	142	5	p	p	X
ejpam-1374	142	6	(	(	PUNCT
ejpam-1374	142	7	0	0	NUM
ejpam-1374	142	8	≤	≤	NUM
ejpam-1374	142	9	δ	δ	X
ejpam-1374	142	10	<	<	X
ejpam-1374	142	11	p	p	X
ejpam-1374	142	12	)	)	PUNCT
ejpam-1374	142	13	,	,	PUNCT
ejpam-1374	142	14	b	b	X
ejpam-1374	142	15	=	=	SYM
ejpam-1374	142	16	−1	−1	NOUN
ejpam-1374	142	17	,	,	PUNCT
ejpam-1374	142	18	m	m	VERB
ejpam-1374	142	19	=	=	NOUN
ejpam-1374	142	20	2−	2−	NUM
ejpam-1374	142	21	p	p	NOUN
ejpam-1374	142	22	and	and	CCONJ
ejpam-1374	142	23	λ	λ	NOUN
ejpam-1374	142	24	=	=	VERB
ejpam-1374	142	25	β	β	X
ejpam-1374	142	26	(	(	PUNCT
ejpam-1374	142	27	β	β	X
ejpam-1374	142	28	>	>	X
ejpam-1374	142	29	0	0	NUM
ejpam-1374	142	30	)	)	PUNCT
ejpam-1374	142	31	in	in	ADP
ejpam-1374	142	32	theorem	theorem	NOUN
ejpam-1374	142	33	1	1	NUM
ejpam-1374	142	34	and	and	CCONJ
ejpam-1374	142	35	using	use	VERB
ejpam-1374	142	36	(	(	PUNCT
ejpam-1374	142	37	18	18	NUM
ejpam-1374	142	38	)	)	PUNCT
ejpam-1374	142	39	,	,	PUNCT
ejpam-1374	142	40	we	we	PRON
ejpam-1374	142	41	have	have	VERB
ejpam-1374	142	42	the	the	DET
ejpam-1374	142	43	following	follow	VERB
ejpam-1374	142	44	corollary	corollary	NOUN
ejpam-1374	142	45	.	.	PUNCT
ejpam-1374	143	1	corollary	corollary	ADJ
ejpam-1374	143	2	2	2	NUM
ejpam-1374	143	3	.	.	PUNCT
ejpam-1374	144	1	if	if	SCONJ
ejpam-1374	144	2	f	f	PROPN
ejpam-1374	144	3	(	(	PUNCT
ejpam-1374	144	4	z	z	NOUN
ejpam-1374	144	5	)	)	PUNCT
ejpam-1374	144	6	∈∑p,2−p	∈∑p,2−p	NOUN
ejpam-1374	144	7	satisfies	satisfy	VERB
ejpam-1374	144	8	the	the	DET
ejpam-1374	144	9	following	follow	VERB
ejpam-1374	144	10	inequality	inequality	NOUN
ejpam-1374	144	11	re{−zp+1[(p+	re{−zp+1[(p+	PROPN
ejpam-1374	144	12	2	2	NUM
ejpam-1374	144	13	)	)	PUNCT
ejpam-1374	144	14	�	�	PROPN
ejpam-1374	144	15	pαβ	pαβ	NOUN
ejpam-1374	144	16	,	,	PUNCT
ejpam-1374	144	17	p	p	PROPN
ejpam-1374	144	18	f	f	X
ejpam-1374	144	19	(	(	PUNCT
ejpam-1374	144	20	z	z	NOUN
ejpam-1374	144	21	)	)	PUNCT
ejpam-1374	144	22	�	�	PROPN
ejpam-1374	145	1	′	′	NOUN
ejpam-1374	146	1	+	+	CCONJ
ejpam-1374	146	2	z	z	NOUN
ejpam-1374	146	3	�	�	PROPN
ejpam-1374	146	4	pαβ	pαβ	NOUN
ejpam-1374	146	5	,	,	PUNCT
ejpam-1374	146	6	p	p	PROPN
ejpam-1374	146	7	f	f	X
ejpam-1374	146	8	(	(	PUNCT
ejpam-1374	146	9	z	z	NOUN
ejpam-1374	146	10	)	)	PUNCT
ejpam-1374	146	11	�	�	PROPN
ejpam-1374	147	1	′′	′′	NOUN
ejpam-1374	147	2	]	]	PUNCT
ejpam-1374	147	3	}	}	PUNCT
ejpam-1374	147	4	>	>	X
ejpam-1374	147	5	δ	δ	PROPN
ejpam-1374	147	6	(	(	PUNCT
ejpam-1374	147	7	0≤	0≤	ADJ
ejpam-1374	147	8	δ	δ	X
ejpam-1374	147	9	<	<	X
ejpam-1374	147	10	p	p	X
ejpam-1374	147	11	;	;	PUNCT
ejpam-1374	147	12	z	z	PROPN
ejpam-1374	147	13	∈	∈	PROPN
ejpam-1374	147	14	u	u	NOUN
ejpam-1374	147	15	)	)	PUNCT
ejpam-1374	147	16	,	,	PUNCT
ejpam-1374	147	17	then	then	ADV
ejpam-1374	147	18	re{−zp+1	re{−zp+1	VERB
ejpam-1374	147	19	�	�	PROPN
ejpam-1374	147	20	pαβ	pαβ	PROPN
ejpam-1374	147	21	,	,	PUNCT
ejpam-1374	147	22	p	p	PROPN
ejpam-1374	147	23	f	f	X
ejpam-1374	147	24	(	(	PUNCT
ejpam-1374	147	25	z	z	NOUN
ejpam-1374	147	26	)	)	PUNCT
ejpam-1374	147	27	�	�	PROPN
ejpam-1374	147	28	′	′	NOUN
ejpam-1374	147	29	}	}	PUNCT
ejpam-1374	147	30	>	>	X
ejpam-1374	147	31	δ+	δ+	PUNCT
ejpam-1374	147	32	(	(	PUNCT
ejpam-1374	147	33	p−	p−	NOUN
ejpam-1374	147	34	δ)(π	δ)(π	ADJ
ejpam-1374	147	35	2	2	NUM
ejpam-1374	147	36	−	−	NOUN
ejpam-1374	147	37	1	1	NUM
ejpam-1374	147	38	)	)	PUNCT
ejpam-1374	147	39	(	(	PUNCT
ejpam-1374	147	40	z	z	NOUN
ejpam-1374	147	41	∈	∈	PROPN
ejpam-1374	147	42	u	u	NOUN
ejpam-1374	147	43	)	)	PUNCT
ejpam-1374	147	44	.	.	PUNCT
ejpam-1374	148	1	the	the	DET
ejpam-1374	148	2	result	result	NOUN
ejpam-1374	148	3	is	be	AUX
ejpam-1374	148	4	the	the	DET
ejpam-1374	148	5	best	good	ADJ
ejpam-1374	148	6	possible	possible	ADJ
ejpam-1374	148	7	.	.	PUNCT
ejpam-1374	149	1	remark	remark	NOUN
ejpam-1374	149	2	2	2	NUM
ejpam-1374	149	3	.	.	PUNCT
ejpam-1374	149	4	for	for	ADP
ejpam-1374	149	5	α	α	NOUN
ejpam-1374	149	6	=	=	SYM
ejpam-1374	149	7	0	0	NUM
ejpam-1374	149	8	,	,	PUNCT
ejpam-1374	149	9	corollary	corollary	ADJ
ejpam-1374	149	10	2	2	NUM
ejpam-1374	149	11	reduces	reduce	VERB
ejpam-1374	149	12	to	to	ADP
ejpam-1374	149	13	the	the	DET
ejpam-1374	149	14	recent	recent	ADJ
ejpam-1374	149	15	result	result	NOUN
ejpam-1374	149	16	of	of	ADP
ejpam-1374	149	17	srivastava	srivastava	PROPN
ejpam-1374	149	18	and	and	CCONJ
ejpam-1374	149	19	patel	patel	PROPN
ejpam-1374	150	1	[	[	X
ejpam-1374	150	2	11	11	NUM
ejpam-1374	150	3	,	,	PUNCT
ejpam-1374	150	4	corollary	corollary	ADJ
ejpam-1374	150	5	2	2	NUM
ejpam-1374	150	6	]	]	PUNCT
ejpam-1374	150	7	.	.	PUNCT
ejpam-1374	151	1	taking	take	VERB
ejpam-1374	151	2	δ	δ	PROPN
ejpam-1374	151	3	=	=	PUNCT
ejpam-1374	151	4	−	−	PROPN
ejpam-1374	152	1	p(π−2	p(π−2	ADJ
ejpam-1374	152	2	)	)	PUNCT
ejpam-1374	153	1	4−π	4−π	NUM
ejpam-1374	153	2	in	in	ADP
ejpam-1374	153	3	corollary	corollary	ADJ
ejpam-1374	153	4	2	2	NUM
ejpam-1374	153	5	,	,	PUNCT
ejpam-1374	153	6	we	we	PRON
ejpam-1374	153	7	have	have	VERB
ejpam-1374	153	8	the	the	DET
ejpam-1374	153	9	following	follow	VERB
ejpam-1374	153	10	corollary	corollary	NOUN
ejpam-1374	153	11	.	.	PUNCT
ejpam-1374	154	1	corollary	corollary	ADJ
ejpam-1374	154	2	3	3	NUM
ejpam-1374	154	3	.	.	PUNCT
ejpam-1374	155	1	if	if	SCONJ
ejpam-1374	155	2	f	f	PROPN
ejpam-1374	155	3	(	(	PUNCT
ejpam-1374	155	4	z	z	NOUN
ejpam-1374	155	5	)	)	PUNCT
ejpam-1374	155	6	∈∑p,2−p	∈∑p,2−p	NOUN
ejpam-1374	155	7	satisfies	satisfy	VERB
ejpam-1374	155	8	the	the	DET
ejpam-1374	155	9	following	follow	VERB
ejpam-1374	155	10	inequality	inequality	NOUN
ejpam-1374	155	11	re{−zp+1[(p+	re{−zp+1[(p+	PROPN
ejpam-1374	155	12	2	2	NUM
ejpam-1374	155	13	)	)	PUNCT
ejpam-1374	155	14	�	�	PROPN
ejpam-1374	155	15	pαβ	pαβ	NOUN
ejpam-1374	155	16	,	,	PUNCT
ejpam-1374	155	17	p	p	PROPN
ejpam-1374	155	18	f	f	X
ejpam-1374	155	19	(	(	PUNCT
ejpam-1374	155	20	z	z	NOUN
ejpam-1374	155	21	)	)	PUNCT
ejpam-1374	155	22	�	�	PROPN
ejpam-1374	156	1	′	′	NOUN
ejpam-1374	157	1	+	+	CCONJ
ejpam-1374	157	2	z	z	NOUN
ejpam-1374	157	3	�	�	PROPN
ejpam-1374	157	4	pαβ	pαβ	NOUN
ejpam-1374	157	5	,	,	PUNCT
ejpam-1374	157	6	p	p	PROPN
ejpam-1374	157	7	f	f	X
ejpam-1374	157	8	(	(	PUNCT
ejpam-1374	157	9	z	z	NOUN
ejpam-1374	157	10	)	)	PUNCT
ejpam-1374	157	11	�	�	PROPN
ejpam-1374	158	1	′′	′′	NOUN
ejpam-1374	158	2	]	]	PUNCT
ejpam-1374	158	3	}	}	PUNCT
ejpam-1374	158	4	>	>	PUNCT
ejpam-1374	158	5	−	−	PUNCT
ejpam-1374	158	6	p(π−	p(π−	NOUN
ejpam-1374	158	7	2	2	NUM
ejpam-1374	158	8	)	)	PUNCT
ejpam-1374	158	9	4−π	4−π	NUM
ejpam-1374	159	1	(	(	PUNCT
ejpam-1374	159	2	z	z	NOUN
ejpam-1374	159	3	∈	∈	PROPN
ejpam-1374	159	4	u	u	NOUN
ejpam-1374	159	5	)	)	PUNCT
ejpam-1374	159	6	,	,	PUNCT
ejpam-1374	159	7	then	then	ADV
ejpam-1374	159	8	re{−zp+1	re{−zp+1	VERB
ejpam-1374	159	9	�	�	PROPN
ejpam-1374	159	10	pαβ	pαβ	PROPN
ejpam-1374	159	11	,	,	PUNCT
ejpam-1374	159	12	p	p	PROPN
ejpam-1374	159	13	f	f	X
ejpam-1374	159	14	(	(	PUNCT
ejpam-1374	159	15	z	z	NOUN
ejpam-1374	159	16	)	)	PUNCT
ejpam-1374	159	17	�	�	PROPN
ejpam-1374	159	18	′	′	NUM
ejpam-1374	159	19	}	}	PUNCT
ejpam-1374	159	20	>	>	X
ejpam-1374	159	21	0	0	PUNCT
ejpam-1374	160	1	(	(	PUNCT
ejpam-1374	160	2	z	z	NOUN
ejpam-1374	160	3	∈	∈	PROPN
ejpam-1374	160	4	u	u	NOUN
ejpam-1374	160	5	)	)	PUNCT
ejpam-1374	160	6	.	.	PUNCT
ejpam-1374	161	1	the	the	DET
ejpam-1374	161	2	result	result	NOUN
ejpam-1374	161	3	is	be	AUX
ejpam-1374	161	4	the	the	DET
ejpam-1374	161	5	best	good	ADJ
ejpam-1374	161	6	possible	possible	ADJ
ejpam-1374	161	7	.	.	PUNCT
ejpam-1374	162	1	m.	m.	PROPN
ejpam-1374	162	2	aouf	aouf	PROPN
ejpam-1374	162	3	,	,	PUNCT
ejpam-1374	162	4	a.	a.	NOUN
ejpam-1374	162	5	shamandy	shamandy	NOUN
ejpam-1374	162	6	,	,	PUNCT
ejpam-1374	162	7	a.	a.	PROPN
ejpam-1374	162	8	mostafa	mostafa	PROPN
ejpam-1374	162	9	,	,	PUNCT
ejpam-1374	162	10	f.	f.	PROPN
ejpam-1374	162	11	el	el	PROPN
ejpam-1374	162	12	-	-	PUNCT
ejpam-1374	162	13	emam	emam	PROPN
ejpam-1374	162	14	/	/	SYM
ejpam-1374	162	15	eur	eur	PROPN
ejpam-1374	162	16	.	.	PUNCT
ejpam-1374	163	1	j.	j.	PROPN
ejpam-1374	163	2	pure	pure	PROPN
ejpam-1374	163	3	appl	appl	PROPN
ejpam-1374	163	4	.	.	PROPN
ejpam-1374	163	5	math	math	PROPN
ejpam-1374	163	6	,	,	PUNCT
ejpam-1374	163	7	4	4	NUM
ejpam-1374	163	8	(	(	PUNCT
ejpam-1374	163	9	2011	2011	NUM
ejpam-1374	163	10	)	)	PUNCT
ejpam-1374	163	11	,	,	PUNCT
ejpam-1374	163	12	435	435	NUM
ejpam-1374	163	13	-	-	SYM
ejpam-1374	163	14	447	447	NUM
ejpam-1374	163	15	442	442	NUM
ejpam-1374	163	16	remark	remark	NOUN
ejpam-1374	163	17	3	3	NUM
ejpam-1374	163	18	.	.	PUNCT
ejpam-1374	164	1	for	for	ADP
ejpam-1374	164	2	α=	α=	NOUN
ejpam-1374	164	3	0	0	NUM
ejpam-1374	164	4	,	,	PUNCT
ejpam-1374	164	5	corollary	corollary	ADJ
ejpam-1374	164	6	3	3	NUM
ejpam-1374	164	7	reduces	reduce	VERB
ejpam-1374	164	8	to	to	ADP
ejpam-1374	164	9	the	the	DET
ejpam-1374	164	10	result	result	NOUN
ejpam-1374	164	11	of	of	ADP
ejpam-1374	164	12	pap	pap	NOUN
ejpam-1374	164	13	[	[	X
ejpam-1374	164	14	8	8	NUM
ejpam-1374	164	15	]	]	PUNCT
ejpam-1374	164	16	.	.	PUNCT
ejpam-1374	165	1	taking	take	VERB
ejpam-1374	165	2	a=	a=	ADV
ejpam-1374	165	3	1−	1−	NUM
ejpam-1374	165	4	2δ	2δ	NUM
ejpam-1374	165	5	p	p	X
ejpam-1374	165	6	(	(	PUNCT
ejpam-1374	165	7	0	0	NUM
ejpam-1374	165	8	≤	≤	NUM
ejpam-1374	165	9	δ	δ	X
ejpam-1374	165	10	<	<	X
ejpam-1374	165	11	p	p	X
ejpam-1374	165	12	)	)	PUNCT
ejpam-1374	165	13	,	,	PUNCT
ejpam-1374	165	14	b	b	X
ejpam-1374	165	15	=	=	SYM
ejpam-1374	165	16	−1	−1	NOUN
ejpam-1374	165	17	,	,	PUNCT
ejpam-1374	165	18	m	m	VERB
ejpam-1374	165	19	=	=	SYM
ejpam-1374	165	20	1−	1−	NUM
ejpam-1374	165	21	p	p	NOUN
ejpam-1374	165	22	andλ	andλ	NOUN
ejpam-1374	165	23	=	=	SYM
ejpam-1374	165	24	β	β	X
ejpam-1374	165	25	(	(	PUNCT
ejpam-1374	165	26	β	β	X
ejpam-1374	165	27	>	>	X
ejpam-1374	165	28	0	0	NUM
ejpam-1374	165	29	)	)	PUNCT
ejpam-1374	165	30	in	in	ADP
ejpam-1374	165	31	theorem	theorem	NOUN
ejpam-1374	165	32	1	1	NUM
ejpam-1374	165	33	and	and	CCONJ
ejpam-1374	165	34	using	use	VERB
ejpam-1374	165	35	(	(	PUNCT
ejpam-1374	165	36	19	19	NUM
ejpam-1374	165	37	)	)	PUNCT
ejpam-1374	165	38	,	,	PUNCT
ejpam-1374	165	39	we	we	PRON
ejpam-1374	165	40	have	have	VERB
ejpam-1374	165	41	the	the	DET
ejpam-1374	165	42	following	follow	VERB
ejpam-1374	165	43	corollary	corollary	NOUN
ejpam-1374	165	44	.	.	PUNCT
ejpam-1374	166	1	corollary	corollary	ADJ
ejpam-1374	166	2	4	4	NUM
ejpam-1374	166	3	.	.	PUNCT
ejpam-1374	167	1	if	if	SCONJ
ejpam-1374	167	2	f	f	PROPN
ejpam-1374	167	3	(	(	PUNCT
ejpam-1374	167	4	z	z	NOUN
ejpam-1374	167	5	)	)	PUNCT
ejpam-1374	167	6	∈∑p	∈∑p	NOUN
ejpam-1374	167	7	satisfies	satisfy	VERB
ejpam-1374	167	8	the	the	DET
ejpam-1374	167	9	following	follow	VERB
ejpam-1374	167	10	inequality	inequality	NOUN
ejpam-1374	167	11	re{−zp+1[(p+	re{−zp+1[(p+	PROPN
ejpam-1374	167	12	2	2	NUM
ejpam-1374	167	13	)	)	PUNCT
ejpam-1374	167	14	�	�	PROPN
ejpam-1374	167	15	pαβ	pαβ	NOUN
ejpam-1374	167	16	,	,	PUNCT
ejpam-1374	167	17	p	p	PROPN
ejpam-1374	167	18	f	f	X
ejpam-1374	167	19	(	(	PUNCT
ejpam-1374	167	20	z	z	NOUN
ejpam-1374	167	21	)	)	PUNCT
ejpam-1374	167	22	�	�	PROPN
ejpam-1374	167	23	′	′	NOUN
ejpam-1374	168	1	+	+	CCONJ
ejpam-1374	168	2	z	z	NOUN
ejpam-1374	168	3	�	�	PROPN
ejpam-1374	168	4	pαβ	pαβ	NOUN
ejpam-1374	168	5	,	,	PUNCT
ejpam-1374	168	6	p	p	PROPN
ejpam-1374	168	7	f	f	X
ejpam-1374	168	8	(	(	PUNCT
ejpam-1374	168	9	z	z	NOUN
ejpam-1374	168	10	)	)	PUNCT
ejpam-1374	168	11	�	�	PROPN
ejpam-1374	169	1	′′	′′	NOUN
ejpam-1374	169	2	]	]	PUNCT
ejpam-1374	169	3	}	}	PUNCT
ejpam-1374	169	4	>	>	X
ejpam-1374	169	5	δ	δ	PROPN
ejpam-1374	169	6	(	(	PUNCT
ejpam-1374	169	7	0≤	0≤	ADJ
ejpam-1374	169	8	δ	δ	X
ejpam-1374	169	9	<	<	X
ejpam-1374	169	10	p	p	X
ejpam-1374	169	11	;	;	PUNCT
ejpam-1374	169	12	z	z	PROPN
ejpam-1374	169	13	∈	∈	PROPN
ejpam-1374	169	14	u	u	NOUN
ejpam-1374	169	15	)	)	PUNCT
ejpam-1374	169	16	,	,	PUNCT
ejpam-1374	169	17	then	then	ADV
ejpam-1374	169	18	re{−zp+1	re{−zp+1	VERB
ejpam-1374	169	19	�	�	PROPN
ejpam-1374	169	20	pαβ	pαβ	PROPN
ejpam-1374	169	21	,	,	PUNCT
ejpam-1374	169	22	p	p	PROPN
ejpam-1374	169	23	f	f	X
ejpam-1374	169	24	(	(	PUNCT
ejpam-1374	169	25	z	z	NOUN
ejpam-1374	169	26	)	)	PUNCT
ejpam-1374	169	27	�	�	PROPN
ejpam-1374	169	28	′	′	NOUN
ejpam-1374	169	29	}	}	PUNCT
ejpam-1374	169	30	>	>	X
ejpam-1374	169	31	p+	p+	VERB
ejpam-1374	169	32	2(p−	2(p−	NUM
ejpam-1374	169	33	δ)(ln2−	δ)(ln2−	PROPN
ejpam-1374	169	34	1	1	NUM
ejpam-1374	169	35	)	)	PUNCT
ejpam-1374	169	36	(	(	PUNCT
ejpam-1374	169	37	z	z	NOUN
ejpam-1374	169	38	∈	∈	PROPN
ejpam-1374	169	39	u	u	NOUN
ejpam-1374	169	40	)	)	PUNCT
ejpam-1374	169	41	.	.	PUNCT
ejpam-1374	170	1	the	the	DET
ejpam-1374	170	2	result	result	NOUN
ejpam-1374	170	3	is	be	AUX
ejpam-1374	170	4	the	the	DET
ejpam-1374	170	5	best	well	ADV
ejpam-1374	170	6	possible	possible	ADJ
ejpam-1374	170	7	.	.	PUNCT
ejpam-1374	171	1	theorem	theorem	NOUN
ejpam-1374	171	2	2	2	NUM
ejpam-1374	171	3	.	.	PUNCT
ejpam-1374	172	1	if	if	SCONJ
ejpam-1374	172	2	f	f	PROPN
ejpam-1374	172	3	∈∑q	∈∑q	PROPN
ejpam-1374	172	4	p	p	PROPN
ejpam-1374	172	5	,	,	PUNCT
ejpam-1374	172	6	m(β	m(β	PROPN
ejpam-1374	172	7	,	,	PUNCT
ejpam-1374	172	8	α	α	NOUN
ejpam-1374	172	9	,	,	PUNCT
ejpam-1374	172	10	λ	λ	PROPN
ejpam-1374	172	11	,	,	PUNCT
ejpam-1374	172	12	a	a	DET
ejpam-1374	172	13	,	,	PUNCT
ejpam-1374	172	14	b	b	NOUN
ejpam-1374	172	15	)	)	PUNCT
ejpam-1374	172	16	(	(	PUNCT
ejpam-1374	172	17	β	β	X
ejpam-1374	172	18	>	>	X
ejpam-1374	172	19	−1	−1	NOUN
ejpam-1374	172	20	)	)	PUNCT
ejpam-1374	172	21	,	,	PUNCT
ejpam-1374	172	22	then	then	ADV
ejpam-1374	172	23	−	−	PROPN
ejpam-1374	172	24	zp+1	zp+1	NUM
ejpam-1374	172	25	�	�	PROPN
ejpam-1374	172	26	qα	qα	PROPN
ejpam-1374	172	27	β	β	PROPN
ejpam-1374	172	28	,	,	PUNCT
ejpam-1374	172	29	p	p	PROPN
ejpam-1374	172	30	f	f	X
ejpam-1374	172	31	(	(	PUNCT
ejpam-1374	172	32	z	z	NOUN
ejpam-1374	172	33	)	)	PUNCT
ejpam-1374	172	34	�	�	PROPN
ejpam-1374	172	35	′	′	NOUN
ejpam-1374	172	36	p	p	NOUN
ejpam-1374	172	37	≺	≺	NOUN
ejpam-1374	172	38	q3(z	q3(z	NOUN
ejpam-1374	172	39	)	)	PUNCT
ejpam-1374	172	40	≺	≺	NOUN
ejpam-1374	172	41	1	1	NUM
ejpam-1374	172	42	+	+	NUM
ejpam-1374	172	43	az	az	PROPN
ejpam-1374	172	44	1	1	NUM
ejpam-1374	172	45	+	+	CCONJ
ejpam-1374	172	46	bz	bz	PROPN
ejpam-1374	172	47	(	(	PUNCT
ejpam-1374	172	48	β	β	X
ejpam-1374	172	49	>	>	X
ejpam-1374	172	50	−1	−1	NOUN
ejpam-1374	172	51	;	;	PUNCT
ejpam-1374	172	52	z	z	PROPN
ejpam-1374	172	53	∈	∈	PROPN
ejpam-1374	172	54	u	u	NOUN
ejpam-1374	172	55	)	)	PUNCT
ejpam-1374	172	56	,	,	PUNCT
ejpam-1374	172	57	(	(	PUNCT
ejpam-1374	172	58	25	25	NUM
ejpam-1374	172	59	)	)	PUNCT
ejpam-1374	172	60	where	where	SCONJ
ejpam-1374	172	61	the	the	DET
ejpam-1374	172	62	function	function	NOUN
ejpam-1374	172	63	q3(z	q3(z	X
ejpam-1374	172	64	)	)	PUNCT
ejpam-1374	172	65	given	give	VERB
ejpam-1374	172	66	by	by	ADP
ejpam-1374	172	67	q3(z	q3(z	NOUN
ejpam-1374	172	68	)	)	PUNCT
ejpam-1374	172	69	=	=	PUNCT
ejpam-1374	172	70			PROPN
ejpam-1374	172	71			VERB
ejpam-1374	172	72			NOUN
ejpam-1374	172	73	a	a	DET
ejpam-1374	172	74	b	b	NOUN
ejpam-1374	172	75	+	+	CCONJ
ejpam-1374	172	76	(	(	PUNCT
ejpam-1374	172	77	1−	1−	NUM
ejpam-1374	172	78	a	a	DET
ejpam-1374	172	79	b	b	NOUN
ejpam-1374	172	80	)	)	PUNCT
ejpam-1374	172	81	(	(	PUNCT
ejpam-1374	172	82	1	1	NUM
ejpam-1374	172	83	+	+	NUM
ejpam-1374	172	84	bz)−1	bz)−1	NOUN
ejpam-1374	172	85	2f1(1,1	2f1(1,1	NUM
ejpam-1374	172	86	;	;	PUNCT
ejpam-1374	172	87	β+α−1	β+α−1	NUM
ejpam-1374	172	88	λ(p+m	λ(p+m	VERB
ejpam-1374	172	89	)	)	PUNCT
ejpam-1374	173	1	+	+	CCONJ
ejpam-1374	173	2	1	1	NUM
ejpam-1374	173	3	;	;	PUNCT
ejpam-1374	173	4	bz	bz	PROPN
ejpam-1374	173	5	bz+1	bz+1	PROPN
ejpam-1374	173	6	)	)	PUNCT
ejpam-1374	174	1	(	(	PUNCT
ejpam-1374	174	2	b	b	X
ejpam-1374	174	3	6=	6=	NUM
ejpam-1374	174	4	0	0	NUM
ejpam-1374	174	5	)	)	PUNCT
ejpam-1374	174	6	1	1	NUM
ejpam-1374	174	7	+	+	NUM
ejpam-1374	174	8	β+α−1	β+α−1	ADJ
ejpam-1374	174	9	β+α+λ(p+m)−1	β+α+λ(p+m)−1	PROPN
ejpam-1374	174	10	az	az	PROPN
ejpam-1374	174	11	(	(	PUNCT
ejpam-1374	174	12	b	b	NOUN
ejpam-1374	174	13	=	=	NOUN
ejpam-1374	174	14	0	0	NUM
ejpam-1374	174	15	)	)	PUNCT
ejpam-1374	174	16	,	,	PUNCT
ejpam-1374	174	17	is	be	AUX
ejpam-1374	174	18	the	the	DET
ejpam-1374	174	19	best	good	ADJ
ejpam-1374	174	20	dominant	dominant	NOUN
ejpam-1374	174	21	of	of	ADP
ejpam-1374	174	22	(	(	PUNCT
ejpam-1374	174	23	25	25	NUM
ejpam-1374	174	24	)	)	PUNCT
ejpam-1374	174	25	.	.	PUNCT
ejpam-1374	175	1	furthermore	furthermore	ADV
ejpam-1374	175	2	,	,	PUNCT
ejpam-1374	175	3	re	re	AUX
ejpam-1374	175	4			VERB
ejpam-1374	175	5			NOUN
ejpam-1374	175	6			NOUN
ejpam-1374	175	7			NOUN
ejpam-1374	175	8	−	−	ADP
ejpam-1374	175	9	zp+1	zp+1	NUM
ejpam-1374	175	10	�	�	PROPN
ejpam-1374	175	11	qα	qα	PROPN
ejpam-1374	175	12	β	β	PROPN
ejpam-1374	175	13	,	,	PUNCT
ejpam-1374	175	14	p	p	PROPN
ejpam-1374	175	15	f	f	X
ejpam-1374	175	16	(	(	PUNCT
ejpam-1374	175	17	z	z	NOUN
ejpam-1374	175	18	)	)	PUNCT
ejpam-1374	175	19	�	�	PROPN
ejpam-1374	175	20	′	′	NUM
ejpam-1374	175	21	p	p	X
ejpam-1374	175	22			PROPN
ejpam-1374	175	23			NOUN
ejpam-1374	175	24			VERB
ejpam-1374	175	25			PUNCT
ejpam-1374	175	26	>	>	X
ejpam-1374	175	27	η	η	PROPN
ejpam-1374	175	28	(	(	PUNCT
ejpam-1374	175	29	z	z	PROPN
ejpam-1374	175	30	∈	∈	PROPN
ejpam-1374	175	31	u	u	NOUN
ejpam-1374	175	32	)	)	PUNCT
ejpam-1374	175	33	,	,	PUNCT
ejpam-1374	175	34	(	(	PUNCT
ejpam-1374	175	35	26	26	NUM
ejpam-1374	175	36	)	)	PUNCT
ejpam-1374	175	37	where	where	SCONJ
ejpam-1374	175	38	η(β	η(β	PROPN
ejpam-1374	175	39	,	,	PUNCT
ejpam-1374	175	40	α	α	PROPN
ejpam-1374	175	41	,	,	PUNCT
ejpam-1374	175	42	p	p	X
ejpam-1374	175	43	,	,	PUNCT
ejpam-1374	175	44	λ	λ	PROPN
ejpam-1374	175	45	,	,	PUNCT
ejpam-1374	175	46	a	a	PRON
ejpam-1374	175	47	,	,	PUNCT
ejpam-1374	175	48	b	b	NOUN
ejpam-1374	175	49	)	)	PUNCT
ejpam-1374	175	50	=	=	PUNCT
ejpam-1374	176	1			PROPN
ejpam-1374	176	2			VERB
ejpam-1374	176	3			NOUN
ejpam-1374	176	4	a	a	DET
ejpam-1374	176	5	b	b	NOUN
ejpam-1374	176	6	+	+	CCONJ
ejpam-1374	176	7	(	(	PUNCT
ejpam-1374	176	8	1−	1−	NUM
ejpam-1374	176	9	a	a	DET
ejpam-1374	176	10	b	b	NOUN
ejpam-1374	176	11	)	)	PUNCT
ejpam-1374	176	12	(	(	PUNCT
ejpam-1374	176	13	1−	1−	NUM
ejpam-1374	176	14	b)−1	b)−1	NOUN
ejpam-1374	176	15	2f1(1,1	2f1(1,1	NUM
ejpam-1374	176	16	;	;	PUNCT
ejpam-1374	176	17	β+α−1	β+α−1	NUM
ejpam-1374	176	18	λ(p+m	λ(p+m	VERB
ejpam-1374	176	19	)	)	PUNCT
ejpam-1374	176	20	+	+	CCONJ
ejpam-1374	176	21	1	1	NUM
ejpam-1374	176	22	;	;	PUNCT
ejpam-1374	176	23	b	b	X
ejpam-1374	176	24	b−1	b−1	PROPN
ejpam-1374	176	25	)	)	PUNCT
ejpam-1374	176	26	(	(	PUNCT
ejpam-1374	176	27	b	b	X
ejpam-1374	176	28	6=	6=	NUM
ejpam-1374	176	29	0	0	NUM
ejpam-1374	176	30	)	)	PUNCT
ejpam-1374	176	31	1−	1−	NUM
ejpam-1374	177	1	β+α−1	β+α−1	NUM
ejpam-1374	177	2	β+α+λ(p+m)−1	β+α+λ(p+m)−1	PROPN
ejpam-1374	177	3	a	a	DET
ejpam-1374	177	4	(	(	PUNCT
ejpam-1374	177	5	b	b	NOUN
ejpam-1374	177	6	=	=	NOUN
ejpam-1374	177	7	0	0	NUM
ejpam-1374	177	8	)	)	PUNCT
ejpam-1374	177	9	.	.	PUNCT
ejpam-1374	178	1	the	the	DET
ejpam-1374	178	2	result	result	NOUN
ejpam-1374	178	3	is	be	AUX
ejpam-1374	178	4	the	the	DET
ejpam-1374	178	5	best	good	ADJ
ejpam-1374	178	6	possible	possible	ADJ
ejpam-1374	178	7	.	.	PUNCT
ejpam-1374	179	1	proof	proof	NOUN
ejpam-1374	179	2	.	.	PUNCT
ejpam-1374	180	1	setting	set	VERB
ejpam-1374	180	2	φ(z	φ(z	NOUN
ejpam-1374	180	3	)	)	PUNCT
ejpam-1374	180	4	=	=	SYM
ejpam-1374	181	1	−	−	PROPN
ejpam-1374	181	2	zp+1	zp+1	NUM
ejpam-1374	181	3	�	�	PROPN
ejpam-1374	181	4	qα	qα	PROPN
ejpam-1374	181	5	β	β	PROPN
ejpam-1374	181	6	,	,	PUNCT
ejpam-1374	181	7	p	p	PROPN
ejpam-1374	181	8	f	f	X
ejpam-1374	181	9	(	(	PUNCT
ejpam-1374	181	10	z	z	NOUN
ejpam-1374	181	11	)	)	PUNCT
ejpam-1374	181	12	�	�	PROPN
ejpam-1374	181	13	′	′	NOUN
ejpam-1374	181	14	p	p	NOUN
ejpam-1374	181	15	(	(	PUNCT
ejpam-1374	181	16	z	z	NOUN
ejpam-1374	181	17	∈	∈	PROPN
ejpam-1374	181	18	u	u	NOUN
ejpam-1374	181	19	)	)	PUNCT
ejpam-1374	181	20	.	.	PUNCT
ejpam-1374	182	1	(	(	PUNCT
ejpam-1374	182	2	27	27	NUM
ejpam-1374	182	3	)	)	PUNCT
ejpam-1374	182	4	m.	m.	NOUN
ejpam-1374	182	5	aouf	aouf	PROPN
ejpam-1374	182	6	,	,	PUNCT
ejpam-1374	182	7	a.	a.	NOUN
ejpam-1374	182	8	shamandy	shamandy	NOUN
ejpam-1374	182	9	,	,	PUNCT
ejpam-1374	182	10	a.	a.	PROPN
ejpam-1374	182	11	mostafa	mostafa	PROPN
ejpam-1374	182	12	,	,	PUNCT
ejpam-1374	182	13	f.	f.	PROPN
ejpam-1374	182	14	el	el	PROPN
ejpam-1374	182	15	-	-	PUNCT
ejpam-1374	182	16	emam	emam	PROPN
ejpam-1374	182	17	/	/	SYM
ejpam-1374	182	18	eur	eur	PROPN
ejpam-1374	182	19	.	.	PUNCT
ejpam-1374	183	1	j.	j.	PROPN
ejpam-1374	183	2	pure	pure	PROPN
ejpam-1374	183	3	appl	appl	PROPN
ejpam-1374	183	4	.	.	PROPN
ejpam-1374	183	5	math	math	PROPN
ejpam-1374	183	6	,	,	PUNCT
ejpam-1374	183	7	4	4	NUM
ejpam-1374	183	8	(	(	PUNCT
ejpam-1374	183	9	2011	2011	NUM
ejpam-1374	183	10	)	)	PUNCT
ejpam-1374	183	11	,	,	PUNCT
ejpam-1374	183	12	435	435	NUM
ejpam-1374	183	13	-	-	SYM
ejpam-1374	183	14	447	447	NUM
ejpam-1374	183	15	443	443	NUM
ejpam-1374	183	16	then	then	ADV
ejpam-1374	183	17	the	the	DET
ejpam-1374	183	18	function	function	NOUN
ejpam-1374	183	19	φ(z	φ(z	PROPN
ejpam-1374	183	20	)	)	PUNCT
ejpam-1374	183	21	is	be	AUX
ejpam-1374	183	22	of	of	ADP
ejpam-1374	183	23	the	the	DET
ejpam-1374	183	24	form	form	NOUN
ejpam-1374	183	25	(	(	PUNCT
ejpam-1374	183	26	12	12	NUM
ejpam-1374	183	27	)	)	PUNCT
ejpam-1374	183	28	and	and	CCONJ
ejpam-1374	183	29	is	be	AUX
ejpam-1374	183	30	analytic	analytic	ADJ
ejpam-1374	183	31	in	in	ADP
ejpam-1374	183	32	u	u	PROPN
ejpam-1374	183	33	.	.	PUNCT
ejpam-1374	184	1	differentiating	differentiate	VERB
ejpam-1374	184	2	(	(	PUNCT
ejpam-1374	184	3	27	27	NUM
ejpam-1374	184	4	)	)	PUNCT
ejpam-1374	184	5	,	,	PUNCT
ejpam-1374	184	6	and	and	CCONJ
ejpam-1374	184	7	with	with	ADP
ejpam-1374	184	8	the	the	DET
ejpam-1374	184	9	aid	aid	NOUN
ejpam-1374	184	10	of	of	ADP
ejpam-1374	184	11	the	the	DET
ejpam-1374	184	12	identity	identity	NOUN
ejpam-1374	184	13	(	(	PUNCT
ejpam-1374	184	14	9	9	NUM
ejpam-1374	184	15	)	)	PUNCT
ejpam-1374	184	16	we	we	PRON
ejpam-1374	184	17	get	get	VERB
ejpam-1374	184	18	φ(z	φ(z	PROPN
ejpam-1374	184	19	)	)	PUNCT
ejpam-1374	185	1	+	+	CCONJ
ejpam-1374	185	2	λzφ	λzφ	ADJ
ejpam-1374	185	3	′	′	NUM
ejpam-1374	185	4	(	(	PUNCT
ejpam-1374	185	5	z	z	NOUN
ejpam-1374	185	6	)	)	PUNCT
ejpam-1374	185	7	β	β	X
ejpam-1374	186	1	+	+	ADJ
ejpam-1374	186	2	α−	α−	PROPN
ejpam-1374	186	3	1	1	NUM
ejpam-1374	186	4	=	=	SYM
ejpam-1374	186	5	−zp+1	−zp+1	PROPN
ejpam-1374	186	6	p	p	PROPN
ejpam-1374	186	7	�	�	PROPN
ejpam-1374	186	8	(	(	PUNCT
ejpam-1374	186	9	1−λ	1−λ	NUM
ejpam-1374	186	10	)	)	PUNCT
ejpam-1374	186	11	�	�	PROPN
ejpam-1374	186	12	qαβ	qαβ	PROPN
ejpam-1374	186	13	,	,	PUNCT
ejpam-1374	186	14	p	p	NOUN
ejpam-1374	186	15	f	f	X
ejpam-1374	186	16	(	(	PUNCT
ejpam-1374	186	17	z	z	NOUN
ejpam-1374	186	18	)	)	PUNCT
ejpam-1374	186	19	�	�	PROPN
ejpam-1374	186	20	′	′	NUM
ejpam-1374	187	1	+	+	ADP
ejpam-1374	187	2	λ	λ	PROPN
ejpam-1374	187	3	�	�	PROPN
ejpam-1374	187	4	qα−1	qα−1	PROPN
ejpam-1374	187	5	β	β	X
ejpam-1374	187	6	,	,	PUNCT
ejpam-1374	187	7	p	p	PROPN
ejpam-1374	187	8	f	f	X
ejpam-1374	187	9	(	(	PUNCT
ejpam-1374	187	10	z	z	NOUN
ejpam-1374	187	11	)	)	PUNCT
ejpam-1374	187	12	�	�	PROPN
ejpam-1374	187	13	′	′	NUM
ejpam-1374	187	14	�	�	PROPN
ejpam-1374	187	15	≺	≺	NOUN
ejpam-1374	187	16	1	1	NUM
ejpam-1374	187	17	+	+	NUM
ejpam-1374	187	18	az	az	PROPN
ejpam-1374	187	19	1	1	NUM
ejpam-1374	187	20	+	+	CCONJ
ejpam-1374	187	21	bz	bz	PROPN
ejpam-1374	187	22	(	(	PUNCT
ejpam-1374	187	23	z	z	NOUN
ejpam-1374	187	24	∈	∈	PROPN
ejpam-1374	187	25	u	u	NOUN
ejpam-1374	187	26	)	)	PUNCT
ejpam-1374	187	27	.	.	PUNCT
ejpam-1374	188	1	(	(	PUNCT
ejpam-1374	188	2	28	28	NUM
ejpam-1374	188	3	)	)	PUNCT
ejpam-1374	188	4	now	now	ADV
ejpam-1374	188	5	,	,	PUNCT
ejpam-1374	188	6	by	by	ADP
ejpam-1374	188	7	using	use	VERB
ejpam-1374	188	8	lemma	lemma	PROPN
ejpam-1374	188	9	1	1	NUM
ejpam-1374	188	10	for	for	ADP
ejpam-1374	188	11	γ	γ	X
ejpam-1374	188	12	=	=	SYM
ejpam-1374	188	13	β+α−1	β+α−1	PROPN
ejpam-1374	188	14	λ	λ	PROPN
ejpam-1374	188	15	,	,	PUNCT
ejpam-1374	188	16	we	we	PRON
ejpam-1374	188	17	deduce	deduce	VERB
ejpam-1374	188	18	that	that	PRON
ejpam-1374	188	19	φ(z)≺	φ(z)≺	X
ejpam-1374	188	20	q(z	q(z	NUM
ejpam-1374	188	21	)	)	PUNCT
ejpam-1374	188	22	=	=	PUNCT
ejpam-1374	189	1	β	β	X
ejpam-1374	189	2	+	+	ADJ
ejpam-1374	189	3	α−	α−	ADP
ejpam-1374	189	4	1	1	NUM
ejpam-1374	189	5	λ(p+m	λ(p+m	NOUN
ejpam-1374	189	6	)	)	PUNCT
ejpam-1374	190	1	z	z	NOUN
ejpam-1374	190	2	−	−	PROPN
ejpam-1374	190	3	β+α−1	β+α−1	NOUN
ejpam-1374	190	4	λ(p+m	λ(p+m	NOUN
ejpam-1374	190	5	)	)	PUNCT
ejpam-1374	191	1	z	z	NOUN
ejpam-1374	191	2	∫	∫	PROPN
ejpam-1374	191	3	0	0	NUM
ejpam-1374	191	4	t	t	PROPN
ejpam-1374	191	5	β+α−1	β+α−1	PROPN
ejpam-1374	191	6	λ(p+m	λ(p+m	NOUN
ejpam-1374	191	7	)	)	PUNCT
ejpam-1374	191	8	−1	−1	NOUN
ejpam-1374	191	9	(	(	PUNCT
ejpam-1374	191	10	1	1	NUM
ejpam-1374	191	11	+	+	CCONJ
ejpam-1374	191	12	at	at	ADP
ejpam-1374	191	13	1	1	NUM
ejpam-1374	191	14	+	+	NOUN
ejpam-1374	191	15	bt	bt	NOUN
ejpam-1374	191	16	)	)	PUNCT
ejpam-1374	191	17	d	d	SYM
ejpam-1374	191	18	t	t	PROPN
ejpam-1374	191	19	,	,	PUNCT
ejpam-1374	191	20	and	and	CCONJ
ejpam-1374	191	21	the	the	DET
ejpam-1374	191	22	proof	proof	NOUN
ejpam-1374	191	23	is	be	AUX
ejpam-1374	191	24	completed	complete	VERB
ejpam-1374	191	25	similarly	similarly	ADV
ejpam-1374	191	26	to	to	PART
ejpam-1374	191	27	theorem	theorem	NOUN
ejpam-1374	191	28	1	1	NUM
ejpam-1374	191	29	.	.	PUNCT
ejpam-1374	191	30	replacing	replace	VERB
ejpam-1374	191	31	φ(z	φ(z	PROPN
ejpam-1374	191	32	)	)	PUNCT
ejpam-1374	191	33	by	by	ADP
ejpam-1374	191	34	zp	zp	PROPN
ejpam-1374	191	35	pα	pα	PROPN
ejpam-1374	191	36	β	β	PROPN
ejpam-1374	191	37	,	,	PUNCT
ejpam-1374	191	38	p	p	PROPN
ejpam-1374	191	39	f	f	X
ejpam-1374	191	40	(	(	PUNCT
ejpam-1374	191	41	z	z	NOUN
ejpam-1374	191	42	)	)	PUNCT
ejpam-1374	191	43	in	in	ADP
ejpam-1374	191	44	(	(	PUNCT
ejpam-1374	191	45	22	22	NUM
ejpam-1374	191	46	)	)	PUNCT
ejpam-1374	191	47	and	and	CCONJ
ejpam-1374	191	48	following	follow	VERB
ejpam-1374	191	49	the	the	DET
ejpam-1374	191	50	lines	line	NOUN
ejpam-1374	191	51	of	of	ADP
ejpam-1374	191	52	the	the	DET
ejpam-1374	191	53	proof	proof	NOUN
ejpam-1374	191	54	of	of	ADP
ejpam-1374	191	55	theorem	theorem	NOUN
ejpam-1374	191	56	1	1	NUM
ejpam-1374	191	57	,	,	PUNCT
ejpam-1374	191	58	we	we	PRON
ejpam-1374	191	59	can	can	AUX
ejpam-1374	191	60	prove	prove	VERB
ejpam-1374	191	61	the	the	DET
ejpam-1374	191	62	following	follow	VERB
ejpam-1374	191	63	result	result	NOUN
ejpam-1374	191	64	.	.	PUNCT
ejpam-1374	192	1	theorem	theorem	NOUN
ejpam-1374	192	2	3	3	NUM
ejpam-1374	192	3	.	.	PUNCT
ejpam-1374	193	1	if	if	SCONJ
ejpam-1374	193	2	f	f	PROPN
ejpam-1374	193	3	∈∑p	∈∑p	NOUN
ejpam-1374	193	4	,	,	PUNCT
ejpam-1374	193	5	m	m	VERB
ejpam-1374	193	6	satisfies	satisfie	NOUN
ejpam-1374	193	7	zp	zp	PROPN
ejpam-1374	193	8	n	n	PROPN
ejpam-1374	193	9	(	(	PUNCT
ejpam-1374	193	10	1−λ)pαβ	1−λ)pαβ	NUM
ejpam-1374	193	11	,	,	PUNCT
ejpam-1374	193	12	p	p	PROPN
ejpam-1374	193	13	f	f	X
ejpam-1374	193	14	(	(	PUNCT
ejpam-1374	193	15	z	z	NOUN
ejpam-1374	193	16	)	)	PUNCT
ejpam-1374	194	1	+	+	PROPN
ejpam-1374	194	2	λpα−1	λpα−1	PROPN
ejpam-1374	194	3	β	β	PROPN
ejpam-1374	194	4	,	,	PUNCT
ejpam-1374	194	5	p	p	PROPN
ejpam-1374	194	6	f	f	X
ejpam-1374	194	7	(	(	PUNCT
ejpam-1374	194	8	z	z	NOUN
ejpam-1374	194	9	)	)	PUNCT
ejpam-1374	194	10	o	o	NOUN
ejpam-1374	194	11	≺	≺	NOUN
ejpam-1374	194	12	1	1	NUM
ejpam-1374	194	13	+	+	NUM
ejpam-1374	194	14	az	az	PROPN
ejpam-1374	194	15	1	1	NUM
ejpam-1374	194	16	+	+	CCONJ
ejpam-1374	194	17	bz	bz	PROPN
ejpam-1374	194	18	(	(	PUNCT
ejpam-1374	194	19	β	β	X
ejpam-1374	194	20	>	>	X
ejpam-1374	194	21	0	0	NUM
ejpam-1374	194	22	;	;	PUNCT
ejpam-1374	194	23	z	z	PROPN
ejpam-1374	194	24	∈	∈	PROPN
ejpam-1374	194	25	u	u	NOUN
ejpam-1374	194	26	)	)	PUNCT
ejpam-1374	194	27	,	,	PUNCT
ejpam-1374	194	28	then	then	ADV
ejpam-1374	194	29	zppαβ	zppαβ	PROPN
ejpam-1374	194	30	,	,	PUNCT
ejpam-1374	194	31	p	p	PROPN
ejpam-1374	194	32	f	f	X
ejpam-1374	194	33	(	(	PUNCT
ejpam-1374	194	34	z	z	NOUN
ejpam-1374	194	35	)	)	PUNCT
ejpam-1374	194	36	≺	≺	NOUN
ejpam-1374	194	37	q1(z)≺	q1(z)≺	VERB
ejpam-1374	194	38	1	1	NUM
ejpam-1374	194	39	+	+	NUM
ejpam-1374	194	40	az	az	PROPN
ejpam-1374	194	41	1	1	NUM
ejpam-1374	194	42	+	+	CCONJ
ejpam-1374	194	43	bz	bz	PROPN
ejpam-1374	194	44	(	(	PUNCT
ejpam-1374	194	45	β	β	X
ejpam-1374	194	46	>	>	X
ejpam-1374	194	47	0	0	NUM
ejpam-1374	194	48	;	;	PUNCT
ejpam-1374	194	49	z	z	PROPN
ejpam-1374	194	50	∈	∈	PROPN
ejpam-1374	194	51	u	u	NOUN
ejpam-1374	194	52	)	)	PUNCT
ejpam-1374	194	53	,	,	PUNCT
ejpam-1374	194	54	and	and	CCONJ
ejpam-1374	194	55	re	re	VERB
ejpam-1374	194	56	�	�	PROPN
ejpam-1374	194	57	zppαβ	zppαβ	PROPN
ejpam-1374	194	58	,	,	PUNCT
ejpam-1374	194	59	p	p	PROPN
ejpam-1374	194	60	f	f	X
ejpam-1374	194	61	(	(	PUNCT
ejpam-1374	194	62	z	z	NOUN
ejpam-1374	194	63	)	)	PUNCT
ejpam-1374	194	64	�	�	PROPN
ejpam-1374	194	65	>	>	X
ejpam-1374	194	66	ρ	ρ	PROPN
ejpam-1374	194	67	(	(	PUNCT
ejpam-1374	194	68	β	β	X
ejpam-1374	194	69	>	>	X
ejpam-1374	194	70	0	0	NUM
ejpam-1374	194	71	;	;	PUNCT
ejpam-1374	194	72	z	z	PROPN
ejpam-1374	194	73	∈	∈	PROPN
ejpam-1374	194	74	u	u	NOUN
ejpam-1374	194	75	)	)	PUNCT
ejpam-1374	194	76	,	,	PUNCT
ejpam-1374	194	77	where	where	SCONJ
ejpam-1374	194	78	q1	q1	PROPN
ejpam-1374	194	79	and	and	CCONJ
ejpam-1374	194	80	ρ	ρ	PROPN
ejpam-1374	194	81	are	be	AUX
ejpam-1374	194	82	given	give	VERB
ejpam-1374	194	83	as	as	ADP
ejpam-1374	194	84	in	in	ADP
ejpam-1374	194	85	theorem	theorem	NOUN
ejpam-1374	194	86	1	1	NUM
ejpam-1374	194	87	.	.	PUNCT
ejpam-1374	195	1	the	the	DET
ejpam-1374	195	2	result	result	NOUN
ejpam-1374	195	3	is	be	AUX
ejpam-1374	195	4	the	the	DET
ejpam-1374	195	5	best	good	ADJ
ejpam-1374	195	6	possible	possible	ADJ
ejpam-1374	195	7	.	.	PUNCT
ejpam-1374	196	1	replacing	replace	VERB
ejpam-1374	196	2	φ(z	φ(z	PROPN
ejpam-1374	196	3	)	)	PUNCT
ejpam-1374	196	4	by	by	ADP
ejpam-1374	196	5	zpqα	zpqα	PROPN
ejpam-1374	196	6	β	β	PROPN
ejpam-1374	196	7	,	,	PUNCT
ejpam-1374	196	8	p	p	PROPN
ejpam-1374	196	9	f	f	X
ejpam-1374	196	10	(	(	PUNCT
ejpam-1374	196	11	z	z	NOUN
ejpam-1374	196	12	)	)	PUNCT
ejpam-1374	196	13	in	in	ADP
ejpam-1374	196	14	(	(	PUNCT
ejpam-1374	196	15	27	27	NUM
ejpam-1374	196	16	)	)	PUNCT
ejpam-1374	196	17	and	and	CCONJ
ejpam-1374	196	18	following	follow	VERB
ejpam-1374	196	19	the	the	DET
ejpam-1374	196	20	lines	line	NOUN
ejpam-1374	196	21	of	of	ADP
ejpam-1374	196	22	the	the	DET
ejpam-1374	196	23	proof	proof	NOUN
ejpam-1374	196	24	of	of	ADP
ejpam-1374	196	25	theorem	theorem	NOUN
ejpam-1374	196	26	2	2	NUM
ejpam-1374	196	27	,	,	PUNCT
ejpam-1374	196	28	we	we	PRON
ejpam-1374	196	29	can	can	AUX
ejpam-1374	196	30	prove	prove	VERB
ejpam-1374	196	31	the	the	DET
ejpam-1374	196	32	following	follow	VERB
ejpam-1374	196	33	result	result	NOUN
ejpam-1374	196	34	.	.	PUNCT
ejpam-1374	197	1	theorem	theorem	ADJ
ejpam-1374	197	2	4	4	NUM
ejpam-1374	197	3	.	.	PUNCT
ejpam-1374	198	1	if	if	SCONJ
ejpam-1374	198	2	f	f	PROPN
ejpam-1374	198	3	∈∑p	∈∑p	NOUN
ejpam-1374	198	4	,	,	PUNCT
ejpam-1374	198	5	m	m	VERB
ejpam-1374	198	6	satisfies	satisfie	NOUN
ejpam-1374	198	7	zp	zp	PROPN
ejpam-1374	198	8	n	n	PROPN
ejpam-1374	198	9	(	(	PUNCT
ejpam-1374	198	10	1−λ)qαβ	1−λ)qαβ	NUM
ejpam-1374	198	11	,	,	PUNCT
ejpam-1374	198	12	p	p	NOUN
ejpam-1374	198	13	f	f	X
ejpam-1374	198	14	(	(	PUNCT
ejpam-1374	198	15	z	z	NOUN
ejpam-1374	198	16	)	)	PUNCT
ejpam-1374	199	1	+	+	PROPN
ejpam-1374	199	2	λqα−1	λqα−1	PROPN
ejpam-1374	199	3	β	β	X
ejpam-1374	199	4	,	,	PUNCT
ejpam-1374	199	5	p	p	PROPN
ejpam-1374	199	6	f	f	X
ejpam-1374	199	7	(	(	PUNCT
ejpam-1374	199	8	z	z	NOUN
ejpam-1374	199	9	)	)	PUNCT
ejpam-1374	199	10	o	o	NOUN
ejpam-1374	199	11	≺	≺	NOUN
ejpam-1374	199	12	1	1	NUM
ejpam-1374	199	13	+	+	NUM
ejpam-1374	199	14	az	az	PROPN
ejpam-1374	199	15	1	1	NUM
ejpam-1374	199	16	+	+	CCONJ
ejpam-1374	199	17	bz	bz	PROPN
ejpam-1374	199	18	(	(	PUNCT
ejpam-1374	199	19	β	β	X
ejpam-1374	199	20	>	>	X
ejpam-1374	199	21	−1	−1	NOUN
ejpam-1374	199	22	;	;	PUNCT
ejpam-1374	199	23	z	z	PROPN
ejpam-1374	199	24	∈	∈	PROPN
ejpam-1374	199	25	u	u	NOUN
ejpam-1374	199	26	)	)	PUNCT
ejpam-1374	199	27	,	,	PUNCT
ejpam-1374	199	28	then	then	ADV
ejpam-1374	199	29	zpqαβ	zpqαβ	NOUN
ejpam-1374	199	30	,	,	PUNCT
ejpam-1374	199	31	p	p	PROPN
ejpam-1374	199	32	f	f	X
ejpam-1374	199	33	(	(	PUNCT
ejpam-1374	199	34	z	z	NOUN
ejpam-1374	199	35	)	)	PUNCT
ejpam-1374	199	36	≺	≺	NOUN
ejpam-1374	199	37	q3(z)≺	q3(z)≺	ADP
ejpam-1374	199	38	1	1	NUM
ejpam-1374	199	39	+	+	NUM
ejpam-1374	199	40	az	az	PROPN
ejpam-1374	199	41	1	1	NUM
ejpam-1374	199	42	+	+	CCONJ
ejpam-1374	199	43	bz	bz	PROPN
ejpam-1374	199	44	(	(	PUNCT
ejpam-1374	199	45	β	β	X
ejpam-1374	199	46	>	>	X
ejpam-1374	199	47	−1	−1	NOUN
ejpam-1374	199	48	;	;	PUNCT
ejpam-1374	199	49	z	z	PROPN
ejpam-1374	199	50	∈	∈	PROPN
ejpam-1374	199	51	u	u	NOUN
ejpam-1374	199	52	)	)	PUNCT
ejpam-1374	199	53	,	,	PUNCT
ejpam-1374	199	54	and	and	CCONJ
ejpam-1374	199	55	re	re	VERB
ejpam-1374	199	56	�	�	PROPN
ejpam-1374	199	57	zpqα	zpqα	PROPN
ejpam-1374	199	58	β	β	PROPN
ejpam-1374	199	59	,	,	PUNCT
ejpam-1374	199	60	p	p	PROPN
ejpam-1374	199	61	f	f	X
ejpam-1374	199	62	(	(	PUNCT
ejpam-1374	199	63	z	z	PROPN
ejpam-1374	199	64	)	)	PUNCT
ejpam-1374	199	65	�	�	PROPN
ejpam-1374	199	66	>	>	X
ejpam-1374	199	67	η	η	PROPN
ejpam-1374	199	68	(	(	PUNCT
ejpam-1374	199	69	β	β	X
ejpam-1374	199	70	>	>	X
ejpam-1374	199	71	−1	−1	NOUN
ejpam-1374	199	72	;	;	PUNCT
ejpam-1374	199	73	z	z	PROPN
ejpam-1374	199	74	∈	∈	PROPN
ejpam-1374	199	75	u	u	NOUN
ejpam-1374	199	76	)	)	PUNCT
ejpam-1374	199	77	,	,	PUNCT
ejpam-1374	199	78	where	where	SCONJ
ejpam-1374	199	79	q3	q3	PROPN
ejpam-1374	199	80	and	and	CCONJ
ejpam-1374	199	81	η	η	PROPN
ejpam-1374	199	82	are	be	AUX
ejpam-1374	199	83	given	give	VERB
ejpam-1374	199	84	as	as	ADP
ejpam-1374	199	85	in	in	ADP
ejpam-1374	199	86	theorem	theorem	NOUN
ejpam-1374	199	87	2	2	NUM
ejpam-1374	199	88	.	.	PUNCT
ejpam-1374	200	1	the	the	DET
ejpam-1374	200	2	result	result	NOUN
ejpam-1374	200	3	is	be	AUX
ejpam-1374	200	4	the	the	DET
ejpam-1374	200	5	best	good	ADJ
ejpam-1374	200	6	possible	possible	ADJ
ejpam-1374	200	7	.	.	PUNCT
ejpam-1374	201	1	m.	m.	PROPN
ejpam-1374	201	2	aouf	aouf	PROPN
ejpam-1374	201	3	,	,	PUNCT
ejpam-1374	201	4	a.	a.	NOUN
ejpam-1374	201	5	shamandy	shamandy	NOUN
ejpam-1374	201	6	,	,	PUNCT
ejpam-1374	201	7	a.	a.	PROPN
ejpam-1374	201	8	mostafa	mostafa	PROPN
ejpam-1374	201	9	,	,	PUNCT
ejpam-1374	201	10	f.	f.	PROPN
ejpam-1374	201	11	el	el	PROPN
ejpam-1374	201	12	-	-	PUNCT
ejpam-1374	201	13	emam	emam	PROPN
ejpam-1374	201	14	/	/	SYM
ejpam-1374	201	15	eur	eur	PROPN
ejpam-1374	201	16	.	.	PUNCT
ejpam-1374	202	1	j.	j.	PROPN
ejpam-1374	202	2	pure	pure	PROPN
ejpam-1374	202	3	appl	appl	PROPN
ejpam-1374	202	4	.	.	PROPN
ejpam-1374	202	5	math	math	PROPN
ejpam-1374	202	6	,	,	PUNCT
ejpam-1374	202	7	4	4	NUM
ejpam-1374	202	8	(	(	PUNCT
ejpam-1374	202	9	2011	2011	NUM
ejpam-1374	202	10	)	)	PUNCT
ejpam-1374	202	11	,	,	PUNCT
ejpam-1374	202	12	435	435	NUM
ejpam-1374	202	13	-	-	SYM
ejpam-1374	202	14	447	447	NUM
ejpam-1374	202	15	444	444	NUM
ejpam-1374	202	16	theorem	theorem	NOUN
ejpam-1374	202	17	5	5	NUM
ejpam-1374	202	18	.	.	PUNCT
ejpam-1374	203	1	let	let	VERB
ejpam-1374	203	2	−1	−1	NOUN
ejpam-1374	203	3	≤	≤	NUM
ejpam-1374	203	4	b	b	X
ejpam-1374	203	5	j	j	X
ejpam-1374	203	6	<	<	X
ejpam-1374	203	7	a	a	DET
ejpam-1374	203	8	j	j	PROPN
ejpam-1374	203	9	≤	≤	ADV
ejpam-1374	203	10	1	1	NUM
ejpam-1374	203	11	(	(	PUNCT
ejpam-1374	203	12	j	j	NOUN
ejpam-1374	203	13	=	=	SYM
ejpam-1374	203	14	1,2	1,2	NUM
ejpam-1374	203	15	)	)	PUNCT
ejpam-1374	203	16	and	and	CCONJ
ejpam-1374	203	17	β	β	X
ejpam-1374	203	18	>	>	X
ejpam-1374	204	1	0	0	X
ejpam-1374	204	2	.	.	PUNCT
ejpam-1374	205	1	if	if	SCONJ
ejpam-1374	205	2	each	each	PRON
ejpam-1374	205	3	of	of	ADP
ejpam-1374	205	4	the	the	DET
ejpam-1374	205	5	functions	function	NOUN
ejpam-1374	205	6	f	f	PROPN
ejpam-1374	205	7	j(z	j(z	PROPN
ejpam-1374	205	8	)	)	PUNCT
ejpam-1374	205	9	∈	∈	PROPN
ejpam-1374	205	10	∑	∑	ADP
ejpam-1374	205	11	p	p	NOUN
ejpam-1374	205	12	satisfies	satisfy	VERB
ejpam-1374	205	13	the	the	DET
ejpam-1374	205	14	following	follow	VERB
ejpam-1374	205	15	subordination	subordination	NOUN
ejpam-1374	205	16	condition	condition	NOUN
ejpam-1374	205	17	zp	zp	PROPN
ejpam-1374	205	18	n	n	PROPN
ejpam-1374	205	19	(	(	PUNCT
ejpam-1374	205	20	1−λ)pαβ	1−λ)pαβ	NUM
ejpam-1374	205	21	,	,	PUNCT
ejpam-1374	205	22	p	p	NOUN
ejpam-1374	205	23	f	f	PROPN
ejpam-1374	205	24	j(z	j(z	PROPN
ejpam-1374	205	25	)	)	PUNCT
ejpam-1374	206	1	+	+	PROPN
ejpam-1374	206	2	λpα−1	λpα−1	PROPN
ejpam-1374	206	3	β	β	PROPN
ejpam-1374	206	4	,	,	PUNCT
ejpam-1374	206	5	p	p	PROPN
ejpam-1374	206	6	f	f	PROPN
ejpam-1374	206	7	j(z	j(z	PROPN
ejpam-1374	206	8	)	)	PUNCT
ejpam-1374	206	9	o	o	NOUN
ejpam-1374	206	10	≺	≺	NOUN
ejpam-1374	206	11	1	1	NUM
ejpam-1374	206	12	+	+	NUM
ejpam-1374	206	13	a	a	DET
ejpam-1374	206	14	jz	jz	PROPN
ejpam-1374	206	15	1	1	NUM
ejpam-1374	206	16	+	+	SYM
ejpam-1374	206	17	b	b	PROPN
ejpam-1374	206	18	jz	jz	PROPN
ejpam-1374	206	19	(	(	PUNCT
ejpam-1374	206	20	j	j	PROPN
ejpam-1374	206	21	=	=	SYM
ejpam-1374	206	22	1,2	1,2	NUM
ejpam-1374	206	23	;	;	PUNCT
ejpam-1374	206	24	z	z	PROPN
ejpam-1374	206	25	∈	∈	PROPN
ejpam-1374	206	26	u	u	NOUN
ejpam-1374	206	27	)	)	PUNCT
ejpam-1374	206	28	.	.	PUNCT
ejpam-1374	207	1	(	(	PUNCT
ejpam-1374	207	2	29	29	NUM
ejpam-1374	207	3	)	)	PUNCT
ejpam-1374	207	4	then	then	ADV
ejpam-1374	207	5	zp	zp	PROPN
ejpam-1374	207	6	n	n	PROPN
ejpam-1374	207	7	(	(	PUNCT
ejpam-1374	207	8	1−λ)pαβ	1−λ)pαβ	NUM
ejpam-1374	207	9	,	,	PUNCT
ejpam-1374	207	10	ph(z	ph(z	PUNCT
ejpam-1374	207	11	)	)	PUNCT
ejpam-1374	208	1	+	+	PROPN
ejpam-1374	208	2	λpα−1	λpα−1	PROPN
ejpam-1374	208	3	β	β	PROPN
ejpam-1374	208	4	,	,	PUNCT
ejpam-1374	208	5	p	p	PROPN
ejpam-1374	208	6	h(z	h(z	PROPN
ejpam-1374	208	7	)	)	PUNCT
ejpam-1374	208	8	o	o	NOUN
ejpam-1374	208	9	≺	≺	NOUN
ejpam-1374	208	10	1	1	NUM
ejpam-1374	208	11	+	+	CCONJ
ejpam-1374	208	12	(	(	PUNCT
ejpam-1374	208	13	1−	1−	NUM
ejpam-1374	208	14	2γ	2γ	NUM
ejpam-1374	208	15	p	p	NOUN
ejpam-1374	208	16	)	)	PUNCT
ejpam-1374	208	17	z	z	NOUN
ejpam-1374	208	18	1−	1−	NUM
ejpam-1374	208	19	z	z	NOUN
ejpam-1374	208	20	(	(	PUNCT
ejpam-1374	208	21	z	z	NOUN
ejpam-1374	208	22	∈	∈	PROPN
ejpam-1374	208	23	u	u	NOUN
ejpam-1374	208	24	)	)	PUNCT
ejpam-1374	208	25	,	,	PUNCT
ejpam-1374	208	26	(	(	PUNCT
ejpam-1374	208	27	30	30	NUM
ejpam-1374	208	28	)	)	PUNCT
ejpam-1374	208	29	where	where	SCONJ
ejpam-1374	208	30	h(z	h(z	NOUN
ejpam-1374	208	31	)	)	PUNCT
ejpam-1374	208	32	=	=	SYM
ejpam-1374	209	1	pαβ	pαβ	NOUN
ejpam-1374	209	2	,	,	PUNCT
ejpam-1374	209	3	p	p	X
ejpam-1374	209	4	(	(	PUNCT
ejpam-1374	209	5	f1	f1	NOUN
ejpam-1374	209	6	∗	∗	NOUN
ejpam-1374	209	7	f2)(z	f2)(z	PROPN
ejpam-1374	209	8	)	)	PUNCT
ejpam-1374	209	9	(	(	PUNCT
ejpam-1374	209	10	31	31	NUM
ejpam-1374	209	11	)	)	PUNCT
ejpam-1374	209	12	and	and	CCONJ
ejpam-1374	209	13	γ=	γ=	PROPN
ejpam-1374	209	14	1−	1−	NUM
ejpam-1374	209	15	4(a1−	4(a1−	PROPN
ejpam-1374	209	16	b1)(a2−	b1)(a2−	PROPN
ejpam-1374	209	17	b2	b2	NOUN
ejpam-1374	209	18	)	)	PUNCT
ejpam-1374	209	19	(	(	PUNCT
ejpam-1374	209	20	1−	1−	NUM
ejpam-1374	209	21	b1)(1−	b1)(1−	PROPN
ejpam-1374	209	22	b2	b2	NOUN
ejpam-1374	209	23	)	)	PUNCT
ejpam-1374	210	1	[	[	X
ejpam-1374	210	2	1−	1−	NUM
ejpam-1374	210	3	1	1	NUM
ejpam-1374	210	4	2	2	NUM
ejpam-1374	210	5	2f1(1,1	2f1(1,1	NUM
ejpam-1374	210	6	;	;	PUNCT
ejpam-1374	210	7	β	β	X
ejpam-1374	210	8	λ	λ	X
ejpam-1374	210	9	+	+	PROPN
ejpam-1374	210	10	1	1	NUM
ejpam-1374	210	11	;	;	PUNCT
ejpam-1374	210	12	1	1	NUM
ejpam-1374	210	13	2	2	NUM
ejpam-1374	210	14	)	)	PUNCT
ejpam-1374	210	15	]	]	PUNCT
ejpam-1374	210	16	.	.	PUNCT
ejpam-1374	211	1	the	the	DET
ejpam-1374	211	2	result	result	NOUN
ejpam-1374	211	3	is	be	AUX
ejpam-1374	211	4	the	the	DET
ejpam-1374	211	5	best	good	ADJ
ejpam-1374	211	6	possible	possible	ADJ
ejpam-1374	211	7	when	when	SCONJ
ejpam-1374	211	8	b1	b1	NOUN
ejpam-1374	211	9	=	=	SYM
ejpam-1374	211	10	b2	b2	NOUN
ejpam-1374	211	11	=	=	SYM
ejpam-1374	211	12	−1	−1	NOUN
ejpam-1374	211	13	.	.	PUNCT
ejpam-1374	212	1	proof	proof	NOUN
ejpam-1374	212	2	.	.	PUNCT
ejpam-1374	213	1	suppose	suppose	VERB
ejpam-1374	213	2	that	that	SCONJ
ejpam-1374	213	3	each	each	PRON
ejpam-1374	213	4	of	of	ADP
ejpam-1374	213	5	the	the	DET
ejpam-1374	213	6	functions	function	NOUN
ejpam-1374	213	7	f	f	PROPN
ejpam-1374	213	8	j(z	j(z	PROPN
ejpam-1374	213	9	)	)	PUNCT
ejpam-1374	213	10	∈	∈	PROPN
ejpam-1374	213	11	∑	∑	PUNCT
ejpam-1374	213	12	p	p	X
ejpam-1374	213	13	(	(	PUNCT
ejpam-1374	213	14	j	j	PROPN
ejpam-1374	213	15	=	=	SYM
ejpam-1374	213	16	1,2	1,2	NUM
ejpam-1374	213	17	)	)	PUNCT
ejpam-1374	213	18	satisfies	satisfy	VERB
ejpam-1374	213	19	the	the	DET
ejpam-1374	213	20	condition	condition	NOUN
ejpam-1374	213	21	(	(	PUNCT
ejpam-1374	213	22	29	29	NUM
ejpam-1374	213	23	)	)	PUNCT
ejpam-1374	213	24	.	.	PUNCT
ejpam-1374	214	1	then	then	ADV
ejpam-1374	214	2	,	,	PUNCT
ejpam-1374	214	3	by	by	ADP
ejpam-1374	214	4	letting	let	VERB
ejpam-1374	214	5	ϕ	ϕ	NOUN
ejpam-1374	214	6	j(z	j(z	PROPN
ejpam-1374	214	7	)	)	PUNCT
ejpam-1374	214	8	=	=	SYM
ejpam-1374	214	9	zp{(1−λ)pαβ	zp{(1−λ)pαβ	PROPN
ejpam-1374	214	10	,	,	PUNCT
ejpam-1374	214	11	p	p	PROPN
ejpam-1374	214	12	�	�	PROPN
ejpam-1374	214	13	f	f	PROPN
ejpam-1374	214	14	j(z	j(z	PROPN
ejpam-1374	214	15	)	)	PUNCT
ejpam-1374	214	16	�	�	PROPN
ejpam-1374	215	1	+	+	PROPN
ejpam-1374	215	2	λpα−1	λpα−1	PROPN
ejpam-1374	215	3	β	β	PROPN
ejpam-1374	215	4	,	,	PUNCT
ejpam-1374	215	5	p	p	PROPN
ejpam-1374	215	6	�	�	PROPN
ejpam-1374	215	7	f	f	PROPN
ejpam-1374	215	8	j(z	j(z	PROPN
ejpam-1374	215	9	)	)	PUNCT
ejpam-1374	215	10	�	�	PROPN
ejpam-1374	215	11	}	}	PUNCT
ejpam-1374	215	12	(	(	PUNCT
ejpam-1374	215	13	j	j	NOUN
ejpam-1374	215	14	=	=	SYM
ejpam-1374	215	15	1,2	1,2	NUM
ejpam-1374	215	16	)	)	PUNCT
ejpam-1374	215	17	,	,	PUNCT
ejpam-1374	215	18	(	(	PUNCT
ejpam-1374	215	19	32	32	NUM
ejpam-1374	215	20	)	)	PUNCT
ejpam-1374	215	21	we	we	PRON
ejpam-1374	215	22	have	have	VERB
ejpam-1374	215	23	ϕ	ϕ	NOUN
ejpam-1374	215	24	j(z	j(z	PROPN
ejpam-1374	215	25	)	)	PUNCT
ejpam-1374	215	26	∈	∈	PROPN
ejpam-1374	215	27	p(γ	p(γ	NUM
ejpam-1374	215	28	j	j	NOUN
ejpam-1374	215	29	)	)	PUNCT
ejpam-1374	215	30	(	(	PUNCT
ejpam-1374	215	31	γ	γ	X
ejpam-1374	215	32	j	j	PROPN
ejpam-1374	215	33	=	=	SYM
ejpam-1374	215	34	1−	1−	PROPN
ejpam-1374	215	35	a	a	DET
ejpam-1374	215	36	j	j	PROPN
ejpam-1374	215	37	1−	1−	NUM
ejpam-1374	215	38	b	b	PROPN
ejpam-1374	215	39	j	j	PROPN
ejpam-1374	215	40	;	;	PUNCT
ejpam-1374	215	41	j	j	PROPN
ejpam-1374	215	42	=	=	SYM
ejpam-1374	215	43	1,2	1,2	NUM
ejpam-1374	215	44	)	)	PUNCT
ejpam-1374	215	45	.	.	PUNCT
ejpam-1374	216	1	making	make	VERB
ejpam-1374	216	2	use	use	NOUN
ejpam-1374	216	3	of	of	ADP
ejpam-1374	216	4	the	the	DET
ejpam-1374	216	5	identity	identity	NOUN
ejpam-1374	216	6	(	(	PUNCT
ejpam-1374	216	7	8)	8)	NUM
ejpam-1374	216	8	in	in	ADP
ejpam-1374	216	9	(	(	PUNCT
ejpam-1374	216	10	32	32	NUM
ejpam-1374	216	11	)	)	PUNCT
ejpam-1374	216	12	,	,	PUNCT
ejpam-1374	216	13	we	we	PRON
ejpam-1374	216	14	have	have	VERB
ejpam-1374	216	15	pαβ	pαβ	NOUN
ejpam-1374	216	16	,	,	PUNCT
ejpam-1374	216	17	p	p	PROPN
ejpam-1374	216	18	�	�	PROPN
ejpam-1374	216	19	f	f	PROPN
ejpam-1374	216	20	j(z	j(z	PROPN
ejpam-1374	216	21	)	)	PUNCT
ejpam-1374	216	22	�	�	PROPN
ejpam-1374	216	23	=	=	PUNCT
ejpam-1374	216	24	β	β	X
ejpam-1374	216	25	λ	λ	X
ejpam-1374	216	26	z−	z−	X
ejpam-1374	216	27	β	β	X
ejpam-1374	217	1	λ	λ	X
ejpam-1374	217	2	−p	−p	ADJ
ejpam-1374	217	3	z	z	PROPN
ejpam-1374	217	4	∫	∫	PROPN
ejpam-1374	217	5	0	0	NUM
ejpam-1374	218	1	t	t	PROPN
ejpam-1374	218	2	β	β	X
ejpam-1374	218	3	λ	λ	X
ejpam-1374	218	4	−1ϕ	−1ϕ	PROPN
ejpam-1374	218	5	j(t)d	j(t)d	PROPN
ejpam-1374	218	6	t	t	PROPN
ejpam-1374	218	7	(	(	PUNCT
ejpam-1374	218	8	j	j	PROPN
ejpam-1374	218	9	=	=	SYM
ejpam-1374	218	10	1,2	1,2	NUM
ejpam-1374	218	11	)	)	PUNCT
ejpam-1374	218	12	.	.	PUNCT
ejpam-1374	219	1	(	(	PUNCT
ejpam-1374	219	2	33	33	NUM
ejpam-1374	219	3	)	)	PUNCT
ejpam-1374	219	4	from	from	ADP
ejpam-1374	219	5	(	(	PUNCT
ejpam-1374	219	6	31	31	NUM
ejpam-1374	219	7	)	)	PUNCT
ejpam-1374	219	8	and	and	CCONJ
ejpam-1374	219	9	(	(	PUNCT
ejpam-1374	219	10	33	33	NUM
ejpam-1374	219	11	)	)	PUNCT
ejpam-1374	219	12	,	,	PUNCT
ejpam-1374	219	13	we	we	PRON
ejpam-1374	219	14	get	get	VERB
ejpam-1374	219	15	pαβ	pαβ	NOUN
ejpam-1374	219	16	,	,	PUNCT
ejpam-1374	219	17	ph(z	ph(z	X
ejpam-1374	219	18	)	)	PUNCT
ejpam-1374	219	19	=	=	SYM
ejpam-1374	220	1	�	�	PROPN
ejpam-1374	220	2	β	β	X
ejpam-1374	220	3	λ	λ	X
ejpam-1374	220	4	z−	z−	X
ejpam-1374	220	5	β	β	X
ejpam-1374	221	1	λ	λ	X
ejpam-1374	221	2	−p	−p	ADJ
ejpam-1374	221	3	z	z	PROPN
ejpam-1374	221	4	∫	∫	PROPN
ejpam-1374	221	5	0	0	NUM
ejpam-1374	222	1	t	t	PROPN
ejpam-1374	222	2	β	β	X
ejpam-1374	222	3	λ	λ	X
ejpam-1374	222	4	−1ϕ1(t)d	−1ϕ1(t)d	PROPN
ejpam-1374	222	5	t	t	PROPN
ejpam-1374	222	6	�	�	PROPN
ejpam-1374	222	7	∗	∗	PROPN
ejpam-1374	222	8	�	�	PROPN
ejpam-1374	222	9	β	β	X
ejpam-1374	222	10	λ	λ	X
ejpam-1374	222	11	z−	z−	X
ejpam-1374	222	12	β	β	X
ejpam-1374	223	1	λ	λ	X
ejpam-1374	223	2	−p	−p	ADJ
ejpam-1374	223	3	z	z	PROPN
ejpam-1374	223	4	∫	∫	PROPN
ejpam-1374	223	5	0	0	NUM
ejpam-1374	224	1	t	t	PROPN
ejpam-1374	224	2	β	β	X
ejpam-1374	224	3	λ	λ	X
ejpam-1374	224	4	−1ϕ2(t)d	−1ϕ2(t)d	PROPN
ejpam-1374	224	5	t	t	PROPN
ejpam-1374	224	6	�	�	PROPN
ejpam-1374	224	7	=	=	PUNCT
ejpam-1374	224	8	β	β	X
ejpam-1374	224	9	λ	λ	X
ejpam-1374	224	10	z−	z−	X
ejpam-1374	224	11	β	β	X
ejpam-1374	225	1	λ	λ	X
ejpam-1374	225	2	−p	−p	ADJ
ejpam-1374	225	3	z	z	PROPN
ejpam-1374	225	4	∫	∫	PROPN
ejpam-1374	225	5	0	0	NUM
ejpam-1374	226	1	t	t	PROPN
ejpam-1374	226	2	β	β	X
ejpam-1374	226	3	λ	λ	PROPN
ejpam-1374	226	4	−1ϕ0(t)d	−1ϕ0(t)d	PROPN
ejpam-1374	226	5	t	t	PROPN
ejpam-1374	226	6	(	(	PUNCT
ejpam-1374	226	7	34	34	NUM
ejpam-1374	226	8	)	)	PUNCT
ejpam-1374	226	9	where	where	SCONJ
ejpam-1374	226	10	ϕ0(z	ϕ0(z	NOUN
ejpam-1374	226	11	)	)	PUNCT
ejpam-1374	226	12	=	=	SYM
ejpam-1374	226	13	zp	zp	PROPN
ejpam-1374	226	14	n	n	PROPN
ejpam-1374	226	15	(	(	PUNCT
ejpam-1374	226	16	1−λ)pαβ	1−λ)pαβ	NUM
ejpam-1374	226	17	,	,	PUNCT
ejpam-1374	226	18	ph(z	ph(z	PUNCT
ejpam-1374	226	19	)	)	PUNCT
ejpam-1374	227	1	+	+	PROPN
ejpam-1374	227	2	λpα−1	λpα−1	PROPN
ejpam-1374	227	3	β	β	PROPN
ejpam-1374	227	4	,	,	PUNCT
ejpam-1374	227	5	p	p	PROPN
ejpam-1374	227	6	h(z	h(z	NOUN
ejpam-1374	227	7	)	)	PUNCT
ejpam-1374	227	8	o	o	NOUN
ejpam-1374	228	1	=	=	PUNCT
ejpam-1374	228	2	β	β	X
ejpam-1374	228	3	λ	λ	X
ejpam-1374	228	4	z−	z−	X
ejpam-1374	228	5	β	β	X
ejpam-1374	229	1	λ	λ	X
ejpam-1374	229	2	z	z	PROPN
ejpam-1374	229	3	∫	∫	PROPN
ejpam-1374	229	4	0	0	NUM
ejpam-1374	229	5	t	t	PROPN
ejpam-1374	229	6	β	β	X
ejpam-1374	229	7	λ	λ	X
ejpam-1374	229	8	−1	−1	NOUN
ejpam-1374	229	9	�	�	PROPN
ejpam-1374	229	10	ϕ1	ϕ1	PROPN
ejpam-1374	229	11	∗ϕ2	∗ϕ2	PROPN
ejpam-1374	229	12	�	�	PROPN
ejpam-1374	229	13	(	(	PUNCT
ejpam-1374	229	14	t)d	t)d	PROPN
ejpam-1374	229	15	t.	t.	NOUN
ejpam-1374	229	16	(	(	PUNCT
ejpam-1374	229	17	35	35	NUM
ejpam-1374	229	18	)	)	PUNCT
ejpam-1374	229	19	since	since	SCONJ
ejpam-1374	229	20	ϕ1(z	ϕ1(z	NOUN
ejpam-1374	229	21	)	)	PUNCT
ejpam-1374	229	22	∈	∈	PROPN
ejpam-1374	229	23	p(γ1	p(γ1	NOUN
ejpam-1374	229	24	)	)	PUNCT
ejpam-1374	229	25	and	and	CCONJ
ejpam-1374	229	26	ϕ2(z	ϕ2(z	NUM
ejpam-1374	229	27	)	)	PUNCT
ejpam-1374	229	28	∈	∈	PROPN
ejpam-1374	229	29	p(γ2	p(γ2	NOUN
ejpam-1374	229	30	)	)	PUNCT
ejpam-1374	229	31	,	,	PUNCT
ejpam-1374	229	32	it	it	PRON
ejpam-1374	229	33	follows	follow	VERB
ejpam-1374	229	34	from	from	ADP
ejpam-1374	229	35	lemma	lemma	PROPN
ejpam-1374	229	36	3	3	NUM
ejpam-1374	229	37	that	that	PRON
ejpam-1374	229	38	(	(	PUNCT
ejpam-1374	229	39	ϕ1	ϕ1	NOUN
ejpam-1374	229	40	∗ϕ2)(z	∗ϕ2)(z	NOUN
ejpam-1374	229	41	)	)	PUNCT
ejpam-1374	229	42	∈	∈	PROPN
ejpam-1374	229	43	p(γ3	p(γ3	PROPN
ejpam-1374	229	44	)	)	PUNCT
ejpam-1374	229	45	(	(	PUNCT
ejpam-1374	229	46	γ3	γ3	NOUN
ejpam-1374	229	47	=	=	SYM
ejpam-1374	229	48	1−	1−	NUM
ejpam-1374	229	49	2(1−	2(1−	X
ejpam-1374	229	50	γ1)(1−	γ1)(1−	ADJ
ejpam-1374	229	51	γ2	γ2	NOUN
ejpam-1374	229	52	)	)	PUNCT
ejpam-1374	229	53	)	)	PUNCT
ejpam-1374	229	54	.	.	PUNCT
ejpam-1374	230	1	(	(	PUNCT
ejpam-1374	230	2	36	36	NUM
ejpam-1374	230	3	)	)	PUNCT
ejpam-1374	230	4	m.	m.	NOUN
ejpam-1374	230	5	aouf	aouf	PROPN
ejpam-1374	230	6	,	,	PUNCT
ejpam-1374	230	7	a.	a.	NOUN
ejpam-1374	230	8	shamandy	shamandy	NOUN
ejpam-1374	230	9	,	,	PUNCT
ejpam-1374	230	10	a.	a.	PROPN
ejpam-1374	230	11	mostafa	mostafa	PROPN
ejpam-1374	230	12	,	,	PUNCT
ejpam-1374	230	13	f.	f.	PROPN
ejpam-1374	230	14	el	el	PROPN
ejpam-1374	230	15	-	-	PUNCT
ejpam-1374	230	16	emam	emam	PROPN
ejpam-1374	230	17	/	/	SYM
ejpam-1374	230	18	eur	eur	PROPN
ejpam-1374	230	19	.	.	PUNCT
ejpam-1374	231	1	j.	j.	PROPN
ejpam-1374	231	2	pure	pure	PROPN
ejpam-1374	231	3	appl	appl	PROPN
ejpam-1374	231	4	.	.	PROPN
ejpam-1374	231	5	math	math	PROPN
ejpam-1374	231	6	,	,	PUNCT
ejpam-1374	231	7	4	4	NUM
ejpam-1374	231	8	(	(	PUNCT
ejpam-1374	231	9	2011	2011	NUM
ejpam-1374	231	10	)	)	PUNCT
ejpam-1374	231	11	,	,	PUNCT
ejpam-1374	231	12	435	435	NUM
ejpam-1374	231	13	-	-	SYM
ejpam-1374	231	14	447	447	NUM
ejpam-1374	231	15	445	445	NUM
ejpam-1374	231	16	according	accord	VERB
ejpam-1374	231	17	to	to	ADP
ejpam-1374	231	18	lemma	lemma	PROPN
ejpam-1374	231	19	2	2	NUM
ejpam-1374	231	20	,	,	PUNCT
ejpam-1374	231	21	we	we	PRON
ejpam-1374	231	22	have	have	VERB
ejpam-1374	231	23	re{(ϕ1	re{(ϕ1	PROPN
ejpam-1374	231	24	∗ϕ2)(z)≥	∗ϕ2)(z)≥	NUM
ejpam-1374	231	25	2γ3	2γ3	NUM
ejpam-1374	231	26	−	−	NOUN
ejpam-1374	231	27	1	1	NUM
ejpam-1374	231	28	+	+	SYM
ejpam-1374	231	29	2(1−	2(1−	NUM
ejpam-1374	231	30	γ3	γ3	NOUN
ejpam-1374	231	31	)	)	PUNCT
ejpam-1374	231	32	1	1	NUM
ejpam-1374	231	33	+	+	NUM
ejpam-1374	231	34	|z|	|z|	NOUN
ejpam-1374	231	35	.	.	PUNCT
ejpam-1374	232	1	(	(	PUNCT
ejpam-1374	232	2	37	37	NUM
ejpam-1374	232	3	)	)	PUNCT
ejpam-1374	232	4	now	now	ADV
ejpam-1374	232	5	by	by	ADP
ejpam-1374	232	6	using	use	VERB
ejpam-1374	232	7	(	(	PUNCT
ejpam-1374	232	8	37	37	NUM
ejpam-1374	232	9	)	)	PUNCT
ejpam-1374	232	10	in	in	ADP
ejpam-1374	232	11	(	(	PUNCT
ejpam-1374	232	12	35	35	NUM
ejpam-1374	232	13	)	)	PUNCT
ejpam-1374	232	14	and	and	CCONJ
ejpam-1374	232	15	then	then	ADV
ejpam-1374	232	16	appealing	appeal	VERB
ejpam-1374	232	17	to	to	PART
ejpam-1374	232	18	lemma	lemma	PROPN
ejpam-1374	232	19	4	4	NUM
ejpam-1374	232	20	,	,	PUNCT
ejpam-1374	232	21	we	we	PRON
ejpam-1374	232	22	get	get	VERB
ejpam-1374	232	23	re{ϕo(z	re{ϕo(z	PROPN
ejpam-1374	232	24	)	)	PUNCT
ejpam-1374	232	25	}	}	PUNCT
ejpam-1374	233	1	=	=	PUNCT
ejpam-1374	233	2	β	β	X
ejpam-1374	233	3	λ	λ	NOUN
ejpam-1374	233	4	1	1	NUM
ejpam-1374	233	5	∫	∫	NOUN
ejpam-1374	233	6	0	0	NUM
ejpam-1374	234	1	u	u	NOUN
ejpam-1374	234	2	β	β	X
ejpam-1374	234	3	λ	λ	X
ejpam-1374	234	4	−1	−1	NOUN
ejpam-1374	234	5	re{(ϕ1	re{(ϕ1	ADJ
ejpam-1374	234	6	∗ϕ2)(uz)}du	∗ϕ2)(uz)}du	ADV
ejpam-1374	234	7	≥	≥	NOUN
ejpam-1374	234	8	β	β	X
ejpam-1374	234	9	λ	λ	X
ejpam-1374	234	10	1	1	NUM
ejpam-1374	234	11	∫	∫	NOUN
ejpam-1374	234	12	0	0	NUM
ejpam-1374	234	13	u	u	PROPN
ejpam-1374	234	14	β	β	X
ejpam-1374	234	15	λ	λ	X
ejpam-1374	234	16	−1(2γ3	−1(2γ3	NOUN
ejpam-1374	234	17	−	−	PROPN
ejpam-1374	234	18	1	1	NUM
ejpam-1374	234	19	+	+	SYM
ejpam-1374	234	20	2(1−	2(1−	NUM
ejpam-1374	234	21	γ3	γ3	NOUN
ejpam-1374	234	22	)	)	PUNCT
ejpam-1374	234	23	1	1	NUM
ejpam-1374	234	24	+	+	NUM
ejpam-1374	234	25	u	u	NOUN
ejpam-1374	234	26	|z|	|z|	NOUN
ejpam-1374	234	27	)	)	PUNCT
ejpam-1374	234	28	du	du	X
ejpam-1374	234	29	>	>	X
ejpam-1374	234	30	β	β	X
ejpam-1374	235	1	λ	λ	PROPN
ejpam-1374	235	2	1	1	NUM
ejpam-1374	235	3	∫	∫	NOUN
ejpam-1374	235	4	0	0	NUM
ejpam-1374	235	5	u	u	PROPN
ejpam-1374	235	6	β	β	X
ejpam-1374	235	7	λ	λ	X
ejpam-1374	235	8	−1(2γ3	−1(2γ3	NOUN
ejpam-1374	235	9	−	−	PROPN
ejpam-1374	235	10	1	1	NUM
ejpam-1374	235	11	+	+	SYM
ejpam-1374	235	12	2(1−	2(1−	NUM
ejpam-1374	235	13	γ3	γ3	NOUN
ejpam-1374	235	14	)	)	PUNCT
ejpam-1374	235	15	1	1	NUM
ejpam-1374	235	16	+	+	NUM
ejpam-1374	235	17	u	u	NOUN
ejpam-1374	235	18	)	)	PUNCT
ejpam-1374	235	19	du	du	PROPN
ejpam-1374	235	20	=	=	SYM
ejpam-1374	235	21	1−	1−	NUM
ejpam-1374	235	22	4(a1−	4(a1−	NUM
ejpam-1374	235	23	b1)(a2−	b1)(a2−	PROPN
ejpam-1374	235	24	b2	b2	NOUN
ejpam-1374	235	25	)	)	PUNCT
ejpam-1374	235	26	(	(	PUNCT
ejpam-1374	235	27	1−	1−	NUM
ejpam-1374	235	28	b1)(1−	b1)(1−	PROPN
ejpam-1374	235	29	b2	b2	NOUN
ejpam-1374	235	30	)	)	PUNCT
ejpam-1374	236	1	[	[	X
ejpam-1374	236	2	1−	1−	NUM
ejpam-1374	236	3	β	β	SYM
ejpam-1374	236	4	λ	λ	PROPN
ejpam-1374	236	5	1	1	NUM
ejpam-1374	236	6	∫	∫	NOUN
ejpam-1374	236	7	0	0	NUM
ejpam-1374	236	8	u	u	NOUN
ejpam-1374	236	9	β	β	X
ejpam-1374	236	10	λ	λ	X
ejpam-1374	236	11	−1(1	−1(1	X
ejpam-1374	236	12	+	+	CCONJ
ejpam-1374	236	13	u)−1du	u)−1du	ADJ
ejpam-1374	236	14	]	]	X
ejpam-1374	236	15	=	=	SYM
ejpam-1374	236	16	1−	1−	NUM
ejpam-1374	236	17	4(a1−	4(a1−	NUM
ejpam-1374	236	18	b1)(a2−	b1)(a2−	PROPN
ejpam-1374	236	19	b2	b2	NOUN
ejpam-1374	236	20	)	)	PUNCT
ejpam-1374	236	21	(	(	PUNCT
ejpam-1374	236	22	1−	1−	NUM
ejpam-1374	236	23	b1)(1−	b1)(1−	PROPN
ejpam-1374	236	24	b2	b2	NOUN
ejpam-1374	236	25	)	)	PUNCT
ejpam-1374	237	1	[	[	X
ejpam-1374	237	2	1−	1−	NUM
ejpam-1374	237	3	1	1	NUM
ejpam-1374	237	4	2	2	NUM
ejpam-1374	237	5	_	_	PUNCT
ejpam-1374	237	6	2f1(1,1	2f1(1,1	NUM
ejpam-1374	237	7	;	;	PUNCT
ejpam-1374	237	8	β	β	X
ejpam-1374	237	9	λ	λ	X
ejpam-1374	237	10	+	+	PROPN
ejpam-1374	237	11	1	1	NUM
ejpam-1374	237	12	;	;	PUNCT
ejpam-1374	237	13	1	1	NUM
ejpam-1374	237	14	2	2	NUM
ejpam-1374	237	15	)	)	PUNCT
ejpam-1374	237	16	]	]	PUNCT
ejpam-1374	238	1	=	=	PUNCT
ejpam-1374	238	2	γ	γ	X
ejpam-1374	238	3	(	(	PUNCT
ejpam-1374	238	4	z	z	PROPN
ejpam-1374	238	5	∈	∈	PROPN
ejpam-1374	238	6	u	u	NOUN
ejpam-1374	238	7	)	)	PUNCT
ejpam-1374	238	8	.	.	PUNCT
ejpam-1374	239	1	which	which	PRON
ejpam-1374	239	2	completes	complete	VERB
ejpam-1374	239	3	the	the	DET
ejpam-1374	239	4	proof	proof	NOUN
ejpam-1374	239	5	of	of	ADP
ejpam-1374	239	6	the	the	DET
ejpam-1374	239	7	assertion	assertion	NOUN
ejpam-1374	239	8	(	(	PUNCT
ejpam-1374	239	9	30	30	NUM
ejpam-1374	239	10	)	)	PUNCT
ejpam-1374	239	11	.	.	PUNCT
ejpam-1374	240	1	when	when	SCONJ
ejpam-1374	240	2	b1	b1	NOUN
ejpam-1374	240	3	=	=	SYM
ejpam-1374	240	4	b2	b2	NOUN
ejpam-1374	240	5	=	=	SYM
ejpam-1374	240	6	−1	−1	NOUN
ejpam-1374	240	7	,	,	PUNCT
ejpam-1374	240	8	we	we	PRON
ejpam-1374	240	9	consider	consider	VERB
ejpam-1374	240	10	the	the	DET
ejpam-1374	240	11	functions	function	NOUN
ejpam-1374	240	12	f	f	PROPN
ejpam-1374	240	13	j(z	j(z	PROPN
ejpam-1374	240	14	)	)	PUNCT
ejpam-1374	240	15	∈	∈	PROPN
ejpam-1374	240	16	∑	∑	PUNCT
ejpam-1374	240	17	p	p	X
ejpam-1374	240	18	(	(	PUNCT
ejpam-1374	240	19	j	j	NOUN
ejpam-1374	240	20	=	=	SYM
ejpam-1374	240	21	1,2	1,2	NUM
ejpam-1374	240	22	)	)	PUNCT
ejpam-1374	240	23	,	,	PUNCT
ejpam-1374	240	24	which	which	PRON
ejpam-1374	240	25	satisfy	satisfy	NOUN
ejpam-1374	240	26	(	(	PUNCT
ejpam-1374	240	27	29	29	NUM
ejpam-1374	240	28	)	)	PUNCT
ejpam-1374	240	29	and	and	CCONJ
ejpam-1374	240	30	pαβ	pαβ	NOUN
ejpam-1374	240	31	,	,	PUNCT
ejpam-1374	240	32	p	p	PROPN
ejpam-1374	240	33	�	�	PROPN
ejpam-1374	240	34	f	f	PROPN
ejpam-1374	240	35	j(z	j(z	PROPN
ejpam-1374	240	36	)	)	PUNCT
ejpam-1374	240	37	�	�	PROPN
ejpam-1374	240	38	=	=	PUNCT
ejpam-1374	240	39	β	β	X
ejpam-1374	240	40	λ	λ	X
ejpam-1374	240	41	z−	z−	X
ejpam-1374	240	42	β	β	X
ejpam-1374	241	1	λ	λ	X
ejpam-1374	241	2	−p	−p	ADJ
ejpam-1374	241	3	z	z	PROPN
ejpam-1374	241	4	∫	∫	PROPN
ejpam-1374	241	5	0	0	NUM
ejpam-1374	242	1	t	t	PROPN
ejpam-1374	242	2	β	β	X
ejpam-1374	242	3	λ	λ	X
ejpam-1374	242	4	−1	−1	NOUN
ejpam-1374	242	5	�	�	PROPN
ejpam-1374	242	6	1	1	NUM
ejpam-1374	242	7	+	+	ADP
ejpam-1374	242	8	a	a	DET
ejpam-1374	242	9	j	j	PROPN
ejpam-1374	242	10	t	t	PROPN
ejpam-1374	242	11	1−	1−	NUM
ejpam-1374	242	12	t	t	PROPN
ejpam-1374	242	13	�	�	PROPN
ejpam-1374	243	1	d	d	PROPN
ejpam-1374	243	2	t	t	PROPN
ejpam-1374	243	3	(	(	PUNCT
ejpam-1374	243	4	j	j	PROPN
ejpam-1374	243	5	=	=	SYM
ejpam-1374	243	6	1,2	1,2	NUM
ejpam-1374	243	7	)	)	PUNCT
ejpam-1374	243	8	,	,	PUNCT
ejpam-1374	243	9	for	for	ADP
ejpam-1374	243	10	which	which	PRON
ejpam-1374	243	11	we	we	PRON
ejpam-1374	243	12	have	have	VERB
ejpam-1374	243	13	ϕ	ϕ	NOUN
ejpam-1374	243	14	j(z	j(z	PROPN
ejpam-1374	243	15	)	)	PUNCT
ejpam-1374	243	16	=	=	PUNCT
ejpam-1374	244	1	1	1	NUM
ejpam-1374	244	2	+	+	NUM
ejpam-1374	244	3	a	a	DET
ejpam-1374	244	4	j	j	PROPN
ejpam-1374	244	5	t	t	PROPN
ejpam-1374	244	6	1−	1−	NUM
ejpam-1374	244	7	t	t	PROPN
ejpam-1374	244	8	(	(	PUNCT
ejpam-1374	244	9	j	j	PROPN
ejpam-1374	244	10	=	=	SYM
ejpam-1374	244	11	1,2	1,2	NUM
ejpam-1374	244	12	)	)	PUNCT
ejpam-1374	244	13	and	and	CCONJ
ejpam-1374	244	14	(	(	PUNCT
ejpam-1374	244	15	ϕ1	ϕ1	NOUN
ejpam-1374	244	16	∗ϕ2)(z	∗ϕ2)(z	PROPN
ejpam-1374	244	17	)	)	PUNCT
ejpam-1374	244	18	=	=	SYM
ejpam-1374	245	1	1	1	NUM
ejpam-1374	245	2	+	+	CCONJ
ejpam-1374	245	3	(	(	PUNCT
ejpam-1374	245	4	1+a1)(1	1+a1)(1	NUM
ejpam-1374	245	5	+	+	CCONJ
ejpam-1374	245	6	a2)z	a2)z	PROPN
ejpam-1374	245	7	1−	1−	NUM
ejpam-1374	245	8	z	z	NOUN
ejpam-1374	245	9	.	.	PUNCT
ejpam-1374	246	1	thus	thus	ADV
ejpam-1374	246	2	it	it	PRON
ejpam-1374	246	3	follows	follow	VERB
ejpam-1374	246	4	from	from	ADP
ejpam-1374	246	5	(	(	PUNCT
ejpam-1374	246	6	35	35	NUM
ejpam-1374	246	7	)	)	PUNCT
ejpam-1374	246	8	and	and	CCONJ
ejpam-1374	246	9	lemma	lemma	PROPN
ejpam-1374	246	10	4	4	NUM
ejpam-1374	246	11	that	that	PRON
ejpam-1374	246	12	ϕo(z	ϕo(z	PRON
ejpam-1374	246	13	)	)	PUNCT
ejpam-1374	246	14	=	=	PUNCT
ejpam-1374	247	1	β	β	X
ejpam-1374	247	2	λ	λ	PROPN
ejpam-1374	247	3	1	1	NUM
ejpam-1374	247	4	∫	∫	NOUN
ejpam-1374	247	5	0	0	NUM
ejpam-1374	247	6	u	u	PROPN
ejpam-1374	247	7	β	β	X
ejpam-1374	247	8	λ	λ	X
ejpam-1374	247	9	−1	−1	NOUN
ejpam-1374	247	10	�	�	PROPN
ejpam-1374	247	11	1−	1−	NUM
ejpam-1374	247	12	(	(	PUNCT
ejpam-1374	247	13	1	1	NUM
ejpam-1374	247	14	+	+	NUM
ejpam-1374	247	15	a1)(1	a1)(1	PROPN
ejpam-1374	247	16	+	+	SYM
ejpam-1374	247	17	a2	a2	NOUN
ejpam-1374	247	18	)	)	PUNCT
ejpam-1374	248	1	+	+	CCONJ
ejpam-1374	248	2	(	(	PUNCT
ejpam-1374	248	3	1	1	NUM
ejpam-1374	248	4	+	+	NUM
ejpam-1374	248	5	a1)(1	a1)(1	PROPN
ejpam-1374	248	6	+	+	SYM
ejpam-1374	248	7	a2	a2	NOUN
ejpam-1374	248	8	)	)	PUNCT
ejpam-1374	248	9	1−	1−	NUM
ejpam-1374	249	1	uz	uz	PROPN
ejpam-1374	249	2	�	�	PROPN
ejpam-1374	249	3	du	du	PROPN
ejpam-1374	249	4	=	=	SYM
ejpam-1374	249	5	1−	1−	NUM
ejpam-1374	249	6	(	(	PUNCT
ejpam-1374	249	7	1	1	NUM
ejpam-1374	249	8	+	+	NUM
ejpam-1374	249	9	a1)(1	a1)(1	PROPN
ejpam-1374	249	10	+	+	SYM
ejpam-1374	249	11	a2	a2	NOUN
ejpam-1374	249	12	)	)	PUNCT
ejpam-1374	250	1	+	+	CCONJ
ejpam-1374	250	2	(	(	PUNCT
ejpam-1374	250	3	1	1	NUM
ejpam-1374	250	4	+	+	NOUN
ejpam-1374	250	5	a1)(1	a1)(1	PROPN
ejpam-1374	250	6	+	+	ADJ
ejpam-1374	250	7	a2)(1−	a2)(1−	PROPN
ejpam-1374	250	8	z)−1	z)−1	NUM
ejpam-1374	250	9	2f1(1,1	2f1(1,1	NUM
ejpam-1374	250	10	;	;	PUNCT
ejpam-1374	250	11	β	β	X
ejpam-1374	250	12	λ	λ	X
ejpam-1374	250	13	+	+	PROPN
ejpam-1374	251	1	1	1	NUM
ejpam-1374	251	2	;	;	PUNCT
ejpam-1374	252	1	z	z	NOUN
ejpam-1374	252	2	z	z	NOUN
ejpam-1374	252	3	−	−	NOUN
ejpam-1374	252	4	1	1	NUM
ejpam-1374	252	5	)	)	PUNCT
ejpam-1374	252	6	→	→	SYM
ejpam-1374	252	7	1−	1−	NUM
ejpam-1374	252	8	(	(	PUNCT
ejpam-1374	252	9	1	1	NUM
ejpam-1374	252	10	+	+	NUM
ejpam-1374	252	11	a1)(1	a1)(1	PROPN
ejpam-1374	252	12	+	+	SYM
ejpam-1374	252	13	a2	a2	NOUN
ejpam-1374	252	14	)	)	PUNCT
ejpam-1374	252	15	+	+	CCONJ
ejpam-1374	252	16	1	1	NUM
ejpam-1374	252	17	2	2	NUM
ejpam-1374	252	18	(	(	PUNCT
ejpam-1374	252	19	1	1	NUM
ejpam-1374	252	20	+	+	NOUN
ejpam-1374	252	21	a1)(1	a1)(1	PROPN
ejpam-1374	252	22	+	+	NOUN
ejpam-1374	252	23	a2)_2f1(1,1	a2)_2f1(1,1	NOUN
ejpam-1374	252	24	;	;	PUNCT
ejpam-1374	252	25	β	β	X
ejpam-1374	252	26	λ	λ	X
ejpam-1374	252	27	+	+	NOUN
ejpam-1374	252	28	1	1	NUM
ejpam-1374	252	29	;	;	PUNCT
ejpam-1374	252	30	1	1	NUM
ejpam-1374	252	31	2	2	NUM
ejpam-1374	252	32	)	)	PUNCT
ejpam-1374	252	33	as	as	ADP
ejpam-1374	252	34	z→−1	z→−1	NOUN
ejpam-1374	252	35	,	,	PUNCT
ejpam-1374	252	36	which	which	PRON
ejpam-1374	252	37	evidently	evidently	ADV
ejpam-1374	252	38	completes	complete	VERB
ejpam-1374	252	39	the	the	DET
ejpam-1374	252	40	proof	proof	NOUN
ejpam-1374	252	41	of	of	ADP
ejpam-1374	252	42	theorem	theorem	NOUN
ejpam-1374	252	43	5	5	NUM
ejpam-1374	252	44	.	.	PUNCT
ejpam-1374	252	45	letting	let	VERB
ejpam-1374	252	46	a	a	DET
ejpam-1374	252	47	j	j	PROPN
ejpam-1374	252	48	=	=	SYM
ejpam-1374	252	49	1−	1−	NUM
ejpam-1374	252	50	2η	2η	NUM
ejpam-1374	253	1	j	j	PROPN
ejpam-1374	253	2	p	p	X
ejpam-1374	253	3	(	(	PUNCT
ejpam-1374	253	4	0≤	0≤	PROPN
ejpam-1374	253	5	η	η	PROPN
ejpam-1374	253	6	j	j	PROPN
ejpam-1374	253	7	<	<	X
ejpam-1374	253	8	p	p	X
ejpam-1374	253	9	)	)	PUNCT
ejpam-1374	253	10	,	,	PUNCT
ejpam-1374	253	11	b	b	X
ejpam-1374	253	12	j	j	PROPN
ejpam-1374	253	13	=	=	SYM
ejpam-1374	253	14	−1	−1	PROPN
ejpam-1374	253	15	(	(	PUNCT
ejpam-1374	253	16	j	j	NOUN
ejpam-1374	253	17	=	=	SYM
ejpam-1374	253	18	1,2	1,2	NUM
ejpam-1374	253	19	)	)	PUNCT
ejpam-1374	253	20	,	,	PUNCT
ejpam-1374	253	21	α	α	X
ejpam-1374	253	22	=	=	SYM
ejpam-1374	253	23	0	0	NUM
ejpam-1374	253	24	and	and	CCONJ
ejpam-1374	253	25	λ	λ	X
ejpam-1374	253	26	β	β	X
ejpam-1374	253	27	=	=	SYM
ejpam-1374	253	28	τ	τ	PROPN
ejpam-1374	253	29	,	,	PUNCT
ejpam-1374	253	30	in	in	ADP
ejpam-1374	253	31	theorem	theorem	NOUN
ejpam-1374	253	32	5	5	NUM
ejpam-1374	253	33	,	,	PUNCT
ejpam-1374	253	34	we	we	PRON
ejpam-1374	253	35	get	get	VERB
ejpam-1374	253	36	the	the	DET
ejpam-1374	253	37	following	follow	VERB
ejpam-1374	253	38	result	result	NOUN
ejpam-1374	253	39	.	.	PUNCT
ejpam-1374	254	1	references	reference	NOUN
ejpam-1374	254	2	446	446	NUM
ejpam-1374	254	3	corollary	corollary	ADJ
ejpam-1374	254	4	5	5	NUM
ejpam-1374	254	5	.	.	PUNCT
ejpam-1374	255	1	if	if	SCONJ
ejpam-1374	255	2	f	f	PROPN
ejpam-1374	255	3	∈∑p	∈∑p	VERB
ejpam-1374	255	4	satisfies	satisfy	VERB
ejpam-1374	255	5	re	re	ADP
ejpam-1374	255	6	zp	zp	PROPN
ejpam-1374	255	7	n	n	PROPN
ejpam-1374	255	8	(	(	PUNCT
ejpam-1374	255	9	1	1	NUM
ejpam-1374	255	10	+	+	NUM
ejpam-1374	255	11	pτ	pτ	NOUN
ejpam-1374	255	12	)	)	PUNCT
ejpam-1374	255	13	f	f	PROPN
ejpam-1374	255	14	j(z	j(z	PROPN
ejpam-1374	255	15	)	)	PUNCT
ejpam-1374	256	1	+	+	ADP
ejpam-1374	256	2	τz	τz	ADP
ejpam-1374	256	3	f	f	PROPN
ejpam-1374	256	4	′	′	NUM
ejpam-1374	256	5	j	j	PROPN
ejpam-1374	256	6	(	(	PUNCT
ejpam-1374	256	7	z	z	NOUN
ejpam-1374	256	8	)	)	PUNCT
ejpam-1374	256	9	o	o	NOUN
ejpam-1374	256	10	>	>	X
ejpam-1374	256	11	η	η	PROPN
ejpam-1374	256	12	j	j	PROPN
ejpam-1374	256	13	(	(	PUNCT
ejpam-1374	256	14	j	j	PROPN
ejpam-1374	256	15	=	=	SYM
ejpam-1374	256	16	1,2	1,2	NUM
ejpam-1374	256	17	;	;	PUNCT
ejpam-1374	256	18	z	z	PROPN
ejpam-1374	256	19	∈	∈	PROPN
ejpam-1374	256	20	u	u	NOUN
ejpam-1374	256	21	)	)	PUNCT
ejpam-1374	256	22	,	,	PUNCT
ejpam-1374	256	23	then	then	ADV
ejpam-1374	256	24	re	re	VERB
ejpam-1374	256	25	zp	zp	PROPN
ejpam-1374	256	26	n	n	PROPN
ejpam-1374	256	27	(	(	PUNCT
ejpam-1374	256	28	1	1	NUM
ejpam-1374	256	29	+	+	NUM
ejpam-1374	256	30	pτ	pτ	NOUN
ejpam-1374	256	31	)	)	PUNCT
ejpam-1374	256	32	(	(	PUNCT
ejpam-1374	256	33	f1	f1	NOUN
ejpam-1374	256	34	∗	∗	NOUN
ejpam-1374	256	35	f2)(z	f2)(z	PROPN
ejpam-1374	256	36	)	)	PUNCT
ejpam-1374	256	37	+	+	ADJ
ejpam-1374	256	38	τz	τz	ADP
ejpam-1374	256	39	�	�	PROPN
ejpam-1374	256	40	(	(	PUNCT
ejpam-1374	256	41	f1	f1	PROPN
ejpam-1374	256	42	∗	∗	NOUN
ejpam-1374	256	43	f2)(z	f2)(z	NOUN
ejpam-1374	256	44	)	)	PUNCT
ejpam-1374	256	45	�	�	PROPN
ejpam-1374	256	46	′o	′o	PROPN
ejpam-1374	256	47	>	>	X
ejpam-1374	256	48	γ	γ	X
ejpam-1374	256	49	,	,	PUNCT
ejpam-1374	256	50	where	where	SCONJ
ejpam-1374	256	51	γ=	γ=	PROPN
ejpam-1374	256	52	1−	1−	NUM
ejpam-1374	256	53	4(1−	4(1−	NUM
ejpam-1374	256	54	η1	η1	NOUN
ejpam-1374	256	55	p	p	NOUN
ejpam-1374	256	56	)	)	PUNCT
ejpam-1374	256	57	(	(	PUNCT
ejpam-1374	256	58	1−	1−	NUM
ejpam-1374	256	59	η2	η2	VERB
ejpam-1374	256	60	p	p	NOUN
ejpam-1374	256	61	)	)	PUNCT
ejpam-1374	257	1	[	[	X
ejpam-1374	257	2	1−	1−	NUM
ejpam-1374	257	3	1	1	NUM
ejpam-1374	257	4	2	2	NUM
ejpam-1374	257	5	_	_	PUNCT
ejpam-1374	257	6	2f1(1,1	2f1(1,1	NUM
ejpam-1374	257	7	;	;	PUNCT
ejpam-1374	257	8	1	1	NUM
ejpam-1374	257	9	τ	τ	X
ejpam-1374	257	10	+	+	NOUN
ejpam-1374	257	11	1	1	NUM
ejpam-1374	257	12	;	;	PUNCT
ejpam-1374	257	13	1	1	NUM
ejpam-1374	257	14	2	2	NUM
ejpam-1374	257	15	)	)	PUNCT
ejpam-1374	257	16	]	]	PUNCT
ejpam-1374	257	17	.	.	PUNCT
ejpam-1374	258	1	remark	remark	PROPN
ejpam-1374	258	2	4	4	NUM
ejpam-1374	258	3	.	.	PUNCT
ejpam-1374	259	1	for	for	ADP
ejpam-1374	259	2	p	p	NOUN
ejpam-1374	259	3	=	=	SYM
ejpam-1374	259	4	1	1	NUM
ejpam-1374	259	5	,	,	PUNCT
ejpam-1374	259	6	the	the	DET
ejpam-1374	259	7	result	result	NOUN
ejpam-1374	259	8	(	(	PUNCT
ejpam-1374	259	9	asserted	assert	VERB
ejpam-1374	259	10	by	by	ADP
ejpam-1374	259	11	corollary	corollary	ADJ
ejpam-1374	259	12	5	5	NUM
ejpam-1374	259	13	above	above	ADV
ejpam-1374	259	14	)	)	PUNCT
ejpam-1374	259	15	was	be	AUX
ejpam-1374	259	16	also	also	ADV
ejpam-1374	259	17	obtained	obtain	VERB
ejpam-1374	259	18	by	by	ADP
ejpam-1374	259	19	yang	yang	PROPN
ejpam-1374	260	1	[	[	X
ejpam-1374	260	2	15	15	NUM
ejpam-1374	260	3	]	]	PUNCT
ejpam-1374	260	4	.	.	PUNCT
ejpam-1374	261	1	theorem	theorem	ADJ
ejpam-1374	261	2	6	6	NUM
ejpam-1374	261	3	.	.	PUNCT
ejpam-1374	262	1	let	let	VERB
ejpam-1374	262	2	−1	−1	NOUN
ejpam-1374	262	3	≤	≤	NUM
ejpam-1374	262	4	b	b	X
ejpam-1374	262	5	j	j	X
ejpam-1374	262	6	<	<	X
ejpam-1374	262	7	a	a	DET
ejpam-1374	262	8	j	j	PROPN
ejpam-1374	262	9	≤	≤	ADV
ejpam-1374	262	10	1	1	NUM
ejpam-1374	262	11	(	(	PUNCT
ejpam-1374	262	12	j	j	NOUN
ejpam-1374	262	13	=	=	SYM
ejpam-1374	262	14	1,2	1,2	NUM
ejpam-1374	262	15	)	)	PUNCT
ejpam-1374	262	16	and	and	CCONJ
ejpam-1374	262	17	β	β	X
ejpam-1374	262	18	>	>	X
ejpam-1374	262	19	−1	−1	NOUN
ejpam-1374	262	20	.	.	PUNCT
ejpam-1374	263	1	if	if	SCONJ
ejpam-1374	263	2	each	each	PRON
ejpam-1374	263	3	of	of	ADP
ejpam-1374	263	4	the	the	DET
ejpam-1374	263	5	functions	function	NOUN
ejpam-1374	263	6	f	f	PROPN
ejpam-1374	263	7	j(z	j(z	PROPN
ejpam-1374	263	8	)	)	PUNCT
ejpam-1374	263	9	∈	∈	PROPN
ejpam-1374	263	10	∑	∑	ADP
ejpam-1374	263	11	p	p	NOUN
ejpam-1374	263	12	satisfies	satisfy	VERB
ejpam-1374	263	13	the	the	DET
ejpam-1374	263	14	following	follow	VERB
ejpam-1374	263	15	subordination	subordination	NOUN
ejpam-1374	263	16	condition	condition	NOUN
ejpam-1374	263	17	zp	zp	PROPN
ejpam-1374	263	18	n	n	PROPN
ejpam-1374	263	19	(	(	PUNCT
ejpam-1374	263	20	1−λ)qαβ	1−λ)qαβ	NUM
ejpam-1374	263	21	,	,	PUNCT
ejpam-1374	263	22	p	p	NOUN
ejpam-1374	263	23	f	f	PROPN
ejpam-1374	263	24	j(z	j(z	PROPN
ejpam-1374	263	25	)	)	PUNCT
ejpam-1374	264	1	+	+	PROPN
ejpam-1374	264	2	λqα−1	λqα−1	PROPN
ejpam-1374	264	3	β	β	X
ejpam-1374	264	4	,	,	PUNCT
ejpam-1374	264	5	p	p	PROPN
ejpam-1374	264	6	f	f	PROPN
ejpam-1374	264	7	j(z	j(z	PROPN
ejpam-1374	264	8	)	)	PUNCT
ejpam-1374	264	9	o	o	NOUN
ejpam-1374	264	10	≺	≺	NOUN
ejpam-1374	264	11	1	1	NUM
ejpam-1374	264	12	+	+	NUM
ejpam-1374	264	13	a	a	DET
ejpam-1374	264	14	jz	jz	PROPN
ejpam-1374	264	15	1	1	NUM
ejpam-1374	264	16	+	+	SYM
ejpam-1374	264	17	b	b	PROPN
ejpam-1374	264	18	jz	jz	PROPN
ejpam-1374	264	19	(	(	PUNCT
ejpam-1374	264	20	j	j	PROPN
ejpam-1374	264	21	=	=	SYM
ejpam-1374	264	22	1,2	1,2	NUM
ejpam-1374	264	23	;	;	PUNCT
ejpam-1374	264	24	z	z	PROPN
ejpam-1374	264	25	∈	∈	PROPN
ejpam-1374	264	26	u	u	NOUN
ejpam-1374	264	27	)	)	PUNCT
ejpam-1374	264	28	.	.	PUNCT
ejpam-1374	265	1	then	then	ADV
ejpam-1374	265	2	zp	zp	PROPN
ejpam-1374	265	3	n	n	PROPN
ejpam-1374	265	4	(	(	PUNCT
ejpam-1374	265	5	1−λ)qαβ	1−λ)qαβ	NUM
ejpam-1374	265	6	,	,	PUNCT
ejpam-1374	265	7	pe(z	pe(z	NOUN
ejpam-1374	265	8	)	)	PUNCT
ejpam-1374	266	1	+	+	PROPN
ejpam-1374	266	2	λqα−1	λqα−1	PROPN
ejpam-1374	266	3	β	β	SYM
ejpam-1374	266	4	,	,	PUNCT
ejpam-1374	266	5	p	p	PROPN
ejpam-1374	266	6	e(z	e(z	PROPN
ejpam-1374	266	7	)	)	PUNCT
ejpam-1374	266	8	o	o	NOUN
ejpam-1374	266	9	≺	≺	NOUN
ejpam-1374	266	10	1	1	NUM
ejpam-1374	266	11	+	+	CCONJ
ejpam-1374	266	12	(	(	PUNCT
ejpam-1374	266	13	1−	1−	NUM
ejpam-1374	266	14	2ξ	2ξ	NUM
ejpam-1374	266	15	p	p	NOUN
ejpam-1374	266	16	)	)	PUNCT
ejpam-1374	266	17	z	z	NOUN
ejpam-1374	266	18	1−	1−	NUM
ejpam-1374	266	19	z	z	NOUN
ejpam-1374	266	20	(	(	PUNCT
ejpam-1374	266	21	z	z	NOUN
ejpam-1374	266	22	∈	∈	PROPN
ejpam-1374	266	23	u	u	NOUN
ejpam-1374	266	24	)	)	PUNCT
ejpam-1374	266	25	,	,	PUNCT
ejpam-1374	266	26	where	where	SCONJ
ejpam-1374	266	27	e(z	e(z	NOUN
ejpam-1374	266	28	)	)	PUNCT
ejpam-1374	266	29	=	=	PUNCT
ejpam-1374	266	30	qαβ	qαβ	INTJ
ejpam-1374	266	31	,	,	PUNCT
ejpam-1374	266	32	p	p	X
ejpam-1374	266	33	(	(	PUNCT
ejpam-1374	266	34	f1	f1	NOUN
ejpam-1374	266	35	∗	∗	NOUN
ejpam-1374	266	36	f2)(z	f2)(z	PROPN
ejpam-1374	266	37	)	)	PUNCT
ejpam-1374	266	38	and	and	CCONJ
ejpam-1374	266	39	ξ=	ξ=	NOUN
ejpam-1374	266	40	1−	1−	NUM
ejpam-1374	266	41	4(a1−	4(a1−	NUM
ejpam-1374	266	42	b1)(a2−	b1)(a2−	PROPN
ejpam-1374	266	43	b2	b2	NOUN
ejpam-1374	266	44	)	)	PUNCT
ejpam-1374	266	45	(	(	PUNCT
ejpam-1374	266	46	1−	1−	NUM
ejpam-1374	266	47	b1)(1−	b1)(1−	PROPN
ejpam-1374	266	48	b2	b2	NOUN
ejpam-1374	266	49	)	)	PUNCT
ejpam-1374	267	1	[	[	X
ejpam-1374	267	2	1−	1−	NUM
ejpam-1374	267	3	1	1	NUM
ejpam-1374	267	4	2	2	NUM
ejpam-1374	267	5	_	_	PUNCT
ejpam-1374	267	6	2f1(1,1	2f1(1,1	NUM
ejpam-1374	267	7	;	;	PUNCT
ejpam-1374	267	8	β	β	X
ejpam-1374	267	9	+	+	ADJ
ejpam-1374	267	10	α−	α−	ADP
ejpam-1374	267	11	1	1	NUM
ejpam-1374	267	12	λ	λ	NOUN
ejpam-1374	267	13	+	+	NOUN
ejpam-1374	267	14	1	1	NUM
ejpam-1374	267	15	;	;	PUNCT
ejpam-1374	267	16	1	1	NUM
ejpam-1374	267	17	2	2	NUM
ejpam-1374	267	18	)	)	PUNCT
ejpam-1374	267	19	]	]	PUNCT
ejpam-1374	267	20	.	.	PUNCT
ejpam-1374	268	1	the	the	DET
ejpam-1374	268	2	result	result	NOUN
ejpam-1374	268	3	is	be	AUX
ejpam-1374	268	4	the	the	DET
ejpam-1374	268	5	best	good	ADJ
ejpam-1374	268	6	possible	possible	ADJ
ejpam-1374	268	7	when	when	SCONJ
ejpam-1374	268	8	b1	b1	NOUN
ejpam-1374	268	9	=	=	SYM
ejpam-1374	268	10	b2	b2	NOUN
ejpam-1374	268	11	=	=	SYM
ejpam-1374	268	12	−1	−1	NOUN
ejpam-1374	268	13	.	.	PUNCT
ejpam-1374	269	1	the	the	DET
ejpam-1374	269	2	proof	proof	NOUN
ejpam-1374	269	3	is	be	AUX
ejpam-1374	269	4	similar	similar	ADJ
ejpam-1374	269	5	to	to	ADP
ejpam-1374	269	6	theorem	theorem	VERB
ejpam-1374	269	7	5	5	NUM
ejpam-1374	269	8	.	.	PUNCT
ejpam-1374	269	9	references	reference	NOUN
ejpam-1374	269	10	[	[	X
ejpam-1374	269	11	1	1	NUM
ejpam-1374	269	12	]	]	PUNCT
ejpam-1374	269	13	m.	m.	NOUN
ejpam-1374	269	14	aouf	aouf	PROPN
ejpam-1374	269	15	,	,	PUNCT
ejpam-1374	269	16	new	new	ADJ
ejpam-1374	269	17	criteria	criterion	NOUN
ejpam-1374	269	18	for	for	ADP
ejpam-1374	269	19	multivalent	multivalent	ADJ
ejpam-1374	269	20	meromorphic	meromorphic	PROPN
ejpam-1374	269	21	starlike	starlike	NOUN
ejpam-1374	269	22	functions	function	NOUN
ejpam-1374	269	23	of	of	ADP
ejpam-1374	269	24	order	order	NOUN
ejpam-1374	269	25	alpha	alpha	NOUN
ejpam-1374	269	26	,	,	PUNCT
ejpam-1374	269	27	proc	proc	PROPN
ejpam-1374	269	28	.	.	PUNCT
ejpam-1374	270	1	japan	japan	PROPN
ejpam-1374	270	2	acad	acad	PROPN
ejpam-1374	270	3	.	.	PUNCT
ejpam-1374	271	1	ser	ser	PROPN
ejpam-1374	271	2	.	.	PUNCT
ejpam-1374	272	1	a	a	PRON
ejpam-1374	272	2	,	,	PUNCT
ejpam-1374	272	3	69	69	NUM
ejpam-1374	272	4	,	,	PUNCT
ejpam-1374	272	5	65	65	NUM
ejpam-1374	272	6	-	-	SYM
ejpam-1374	272	7	70	70	NUM
ejpam-1374	272	8	.	.	PUNCT
ejpam-1374	273	1	1993	1993	NUM
ejpam-1374	273	2	.	.	PUNCT
ejpam-1374	274	1	[	[	X
ejpam-1374	274	2	2	2	NUM
ejpam-1374	274	3	]	]	X
ejpam-1374	274	4	e.	e.	PROPN
ejpam-1374	274	5	aqlan	aqlan	PROPN
ejpam-1374	274	6	,	,	PUNCT
ejpam-1374	274	7	j.	j.	PROPN
ejpam-1374	274	8	jahangiri	jahangiri	PROPN
ejpam-1374	274	9	and	and	CCONJ
ejpam-1374	274	10	s.	s.	PROPN
ejpam-1374	274	11	kulkarni	kulkarni	PROPN
ejpam-1374	274	12	,	,	PUNCT
ejpam-1374	274	13	certain	certain	ADJ
ejpam-1374	274	14	integral	integral	ADJ
ejpam-1374	274	15	operators	operator	NOUN
ejpam-1374	274	16	applied	apply	VERB
ejpam-1374	274	17	to	to	ADP
ejpam-1374	274	18	meromorphic	meromorphic	ADJ
ejpam-1374	274	19	p	p	PROPN
ejpam-1374	274	20	-	-	PUNCT
ejpam-1374	274	21	valent	valent	NOUN
ejpam-1374	274	22	functions	function	NOUN
ejpam-1374	274	23	,	,	PUNCT
ejpam-1374	274	24	j.	j.	PROPN
ejpam-1374	274	25	nat	nat	PROPN
ejpam-1374	274	26	.	.	PUNCT
ejpam-1374	275	1	geom	geom	PROPN
ejpam-1374	275	2	.	.	PROPN
ejpam-1374	275	3	,	,	PUNCT
ejpam-1374	275	4	24	24	NUM
ejpam-1374	275	5	,	,	PUNCT
ejpam-1374	275	6	111	111	NUM
ejpam-1374	275	7	-	-	SYM
ejpam-1374	275	8	120	120	NUM
ejpam-1374	275	9	.	.	PUNCT
ejpam-1374	275	10	2003	2003	NUM
ejpam-1374	275	11	.	.	PUNCT
ejpam-1374	276	1	[	[	X
ejpam-1374	276	2	3	3	X
ejpam-1374	276	3	]	]	X
ejpam-1374	276	4	t.	t.	NOUN
ejpam-1374	276	5	bulboaca	bulboaca	NOUN
ejpam-1374	276	6	,	,	PUNCT
ejpam-1374	276	7	differential	differential	ADJ
ejpam-1374	276	8	subordinations	subordination	NOUN
ejpam-1374	276	9	and	and	CCONJ
ejpam-1374	276	10	superordinations	superordination	NOUN
ejpam-1374	276	11	,	,	PUNCT
ejpam-1374	276	12	recent	recent	ADJ
ejpam-1374	276	13	results	result	NOUN
ejpam-1374	276	14	,	,	PUNCT
ejpam-1374	276	15	house	house	NOUN
ejpam-1374	276	16	of	of	ADP
ejpam-1374	276	17	scientific	scientific	ADJ
ejpam-1374	276	18	book	book	NOUN
ejpam-1374	276	19	publ	publ	NOUN
ejpam-1374	276	20	.	.	PUNCT
ejpam-1374	276	21	,	,	PUNCT
ejpam-1374	276	22	cluj	cluj	NOUN
ejpam-1374	276	23	-	-	PUNCT
ejpam-1374	276	24	napoca	napoca	NOUN
ejpam-1374	276	25	,	,	PUNCT
ejpam-1374	276	26	2005	2005	NUM
ejpam-1374	276	27	.	.	PUNCT
ejpam-1374	277	1	[	[	X
ejpam-1374	277	2	4	4	X
ejpam-1374	277	3	]	]	X
ejpam-1374	277	4	d.	d.	PROPN
ejpam-1374	277	5	hallenbeck	hallenbeck	PROPN
ejpam-1374	277	6	and	and	CCONJ
ejpam-1374	277	7	st	st	PROPN
ejpam-1374	277	8	.	.	PROPN
ejpam-1374	277	9	ruscheweyh	ruscheweyh	PROPN
ejpam-1374	277	10	,	,	PUNCT
ejpam-1374	277	11	subordination	subordination	NOUN
ejpam-1374	277	12	by	by	ADP
ejpam-1374	277	13	convex	convex	NOUN
ejpam-1374	277	14	functions	function	NOUN
ejpam-1374	277	15	,	,	PUNCT
ejpam-1374	277	16	proc	proc	NOUN
ejpam-1374	277	17	.	.	PUNCT
ejpam-1374	278	1	amer	amer	PROPN
ejpam-1374	278	2	.	.	PUNCT
ejpam-1374	278	3	math	math	PROPN
ejpam-1374	278	4	.	.	PUNCT
ejpam-1374	279	1	soc	soc	PROPN
ejpam-1374	279	2	.	.	PUNCT
ejpam-1374	279	3	,	,	PUNCT
ejpam-1374	279	4	52	52	NUM
ejpam-1374	279	5	,	,	PUNCT
ejpam-1374	279	6	191	191	NUM
ejpam-1374	279	7	-	-	SYM
ejpam-1374	279	8	195	195	NUM
ejpam-1374	279	9	.	.	NOUN
ejpam-1374	279	10	1975	1975	NUM
ejpam-1374	279	11	.	.	PUNCT
ejpam-1374	280	1	references	reference	NOUN
ejpam-1374	280	2	447	447	NUM
ejpam-1374	281	1	[	[	X
ejpam-1374	281	2	5	5	NUM
ejpam-1374	281	3	]	]	PUNCT
ejpam-1374	281	4	v.	v.	CCONJ
ejpam-1374	281	5	kumar	kumar	PROPN
ejpam-1374	281	6	and	and	CCONJ
ejpam-1374	281	7	s.	s.	PROPN
ejpam-1374	281	8	shukla	shukla	PROPN
ejpam-1374	281	9	,	,	PUNCT
ejpam-1374	281	10	certain	certain	ADJ
ejpam-1374	281	11	integrals	integral	NOUN
ejpam-1374	281	12	for	for	ADP
ejpam-1374	281	13	classes	class	NOUN
ejpam-1374	281	14	of	of	ADP
ejpam-1374	281	15	p	p	NOUN
ejpam-1374	281	16	-	-	PUNCT
ejpam-1374	281	17	valent	valent	NOUN
ejpam-1374	281	18	meromorphic	meromorphic	ADJ
ejpam-1374	281	19	functions	function	NOUN
ejpam-1374	281	20	,	,	PUNCT
ejpam-1374	281	21	bull	bull	NOUN
ejpam-1374	281	22	.	.	PUNCT
ejpam-1374	282	1	austral	austral	PROPN
ejpam-1374	282	2	.	.	PUNCT
ejpam-1374	283	1	math	math	NOUN
ejpam-1374	283	2	.	.	PUNCT
ejpam-1374	284	1	soc	soc	PROPN
ejpam-1374	284	2	.	.	PUNCT
ejpam-1374	285	1	25	25	NUM
ejpam-1374	285	2	,	,	PUNCT
ejpam-1374	285	3	85–97	85–97	NUM
ejpam-1374	285	4	.	.	PUNCT
ejpam-1374	285	5	1982	1982	NUM
ejpam-1374	285	6	.	.	PUNCT
ejpam-1374	286	1	[	[	X
ejpam-1374	286	2	6	6	NUM
ejpam-1374	286	3	]	]	PUNCT
ejpam-1374	286	4	a.	a.	NOUN
ejpam-1374	286	5	lashin	lashin	PROPN
ejpam-1374	286	6	,	,	PUNCT
ejpam-1374	286	7	on	on	ADP
ejpam-1374	286	8	certain	certain	ADJ
ejpam-1374	286	9	subclasses	subclass	NOUN
ejpam-1374	286	10	of	of	ADP
ejpam-1374	286	11	meromorphic	meromorphic	ADJ
ejpam-1374	286	12	functions	function	NOUN
ejpam-1374	286	13	associated	associate	VERB
ejpam-1374	286	14	with	with	ADP
ejpam-1374	286	15	certain	certain	ADJ
ejpam-1374	286	16	integral	integral	ADJ
ejpam-1374	286	17	operators	operator	NOUN
ejpam-1374	286	18	,	,	PUNCT
ejpam-1374	286	19	comput	comput	NOUN
ejpam-1374	286	20	.	.	PUNCT
ejpam-1374	287	1	math	math	NOUN
ejpam-1374	287	2	.	.	PUNCT
ejpam-1374	288	1	appl	appl	PROPN
ejpam-1374	288	2	.	.	PUNCT
ejpam-1374	289	1	(	(	PUNCT
ejpam-1374	289	2	to	to	PART
ejpam-1374	289	3	appear	appear	VERB
ejpam-1374	289	4	)	)	PUNCT
ejpam-1374	289	5	.	.	PUNCT
ejpam-1374	290	1	[	[	X
ejpam-1374	290	2	7	7	X
ejpam-1374	290	3	]	]	X
ejpam-1374	290	4	s.	s.	PROPN
ejpam-1374	290	5	miller	miller	PROPN
ejpam-1374	290	6	and	and	CCONJ
ejpam-1374	290	7	p.	p.	PROPN
ejpam-1374	290	8	mocanu	mocanu	PROPN
ejpam-1374	290	9	,	,	PUNCT
ejpam-1374	290	10	differential	differential	ADJ
ejpam-1374	290	11	subordinations	subordination	NOUN
ejpam-1374	290	12	:	:	PUNCT
ejpam-1374	290	13	theory	theory	NOUN
ejpam-1374	290	14	and	and	CCONJ
ejpam-1374	290	15	applications	application	NOUN
ejpam-1374	290	16	,	,	PUNCT
ejpam-1374	290	17	series	series	NOUN
ejpam-1374	290	18	on	on	ADP
ejpam-1374	290	19	monographs	monograph	NOUN
ejpam-1374	290	20	and	and	CCONJ
ejpam-1374	290	21	textbooks	textbook	NOUN
ejpam-1374	290	22	in	in	ADP
ejpam-1374	290	23	pure	pure	ADJ
ejpam-1374	290	24	and	and	CCONJ
ejpam-1374	290	25	applied	applied	ADJ
ejpam-1374	290	26	mathematics	mathematic	NOUN
ejpam-1374	290	27	(	(	PUNCT
ejpam-1374	290	28	no	no	INTJ
ejpam-1374	290	29	.	.	PUNCT
ejpam-1374	290	30	225),marcel	225),marcel	NUM
ejpam-1374	290	31	dekker	dekker	NOUN
ejpam-1374	290	32	,	,	PUNCT
ejpam-1374	290	33	new	new	PROPN
ejpam-1374	290	34	york	york	PROPN
ejpam-1374	290	35	and	and	CCONJ
ejpam-1374	290	36	basel	basel	PROPN
ejpam-1374	290	37	,	,	PUNCT
ejpam-1374	290	38	2000	2000	NUM
ejpam-1374	290	39	.	.	PUNCT
ejpam-1374	291	1	[	[	X
ejpam-1374	291	2	8	8	NUM
ejpam-1374	291	3	]	]	X
ejpam-1374	291	4	m.	m.	NOUN
ejpam-1374	291	5	pap	pap	NOUN
ejpam-1374	291	6	,	,	PUNCT
ejpam-1374	291	7	on	on	ADP
ejpam-1374	291	8	certain	certain	ADJ
ejpam-1374	291	9	subclasses	subclass	NOUN
ejpam-1374	291	10	of	of	ADP
ejpam-1374	291	11	meromorphic	meromorphic	ADJ
ejpam-1374	291	12	m	m	NOUN
ejpam-1374	291	13	-	-	PUNCT
ejpam-1374	291	14	valent	valent	NOUN
ejpam-1374	291	15	close	close	NOUN
ejpam-1374	291	16	-	-	PUNCT
ejpam-1374	291	17	to	to	ADP
ejpam-1374	291	18	-	-	PUNCT
ejpam-1374	291	19	convex	convex	NOUN
ejpam-1374	291	20	functions	function	NOUN
ejpam-1374	291	21	,	,	PUNCT
ejpam-1374	291	22	pure	pure	ADJ
ejpam-1374	291	23	math	math	NOUN
ejpam-1374	291	24	.	.	PUNCT
ejpam-1374	292	1	appl	appl	PROPN
ejpam-1374	292	2	.	.	PROPN
ejpam-1374	292	3	,	,	PUNCT
ejpam-1374	292	4	9	9	NUM
ejpam-1374	292	5	,	,	PUNCT
ejpam-1374	292	6	155	155	NUM
ejpam-1374	292	7	-	-	SYM
ejpam-1374	292	8	163	163	NUM
ejpam-1374	292	9	.	.	PUNCT
ejpam-1374	293	1	1998	1998	NUM
ejpam-1374	293	2	.	.	PUNCT
ejpam-1374	294	1	[	[	X
ejpam-1374	294	2	9	9	NUM
ejpam-1374	294	3	]	]	X
ejpam-1374	294	4	d.	d.	PROPN
ejpam-1374	294	5	pashkouleva	pashkouleva	PROPN
ejpam-1374	294	6	,	,	PUNCT
ejpam-1374	294	7	the	the	DET
ejpam-1374	294	8	starlikeness	starlikeness	ADJ
ejpam-1374	294	9	and	and	CCONJ
ejpam-1374	294	10	spiral	spiral	ADJ
ejpam-1374	294	11	-	-	PUNCT
ejpam-1374	294	12	convexity	convexity	NOUN
ejpam-1374	294	13	of	of	ADP
ejpam-1374	294	14	analytic	analytic	ADJ
ejpam-1374	294	15	functions	function	NOUN
ejpam-1374	294	16	,	,	PUNCT
ejpam-1374	294	17	in	in	ADP
ejpam-1374	294	18	:	:	PUNCT
ejpam-1374	294	19	h.m	h.m	PROPN
ejpam-1374	294	20	.	.	PROPN
ejpam-1374	294	21	srivastava	srivastava	PROPN
ejpam-1374	294	22	and	and	CCONJ
ejpam-1374	294	23	s.owa	s.owa	PROPN
ejpam-1374	294	24	(	(	PUNCT
ejpam-1374	294	25	editors	editor	NOUN
ejpam-1374	294	26	)	)	PUNCT
ejpam-1374	294	27	,	,	PUNCT
ejpam-1374	294	28	current	current	ADJ
ejpam-1374	294	29	topics	topic	NOUN
ejpam-1374	294	30	in	in	ADP
ejpam-1374	294	31	analytic	analytic	ADJ
ejpam-1374	294	32	function	function	NOUN
ejpam-1374	294	33	theory	theory	NOUN
ejpam-1374	294	34	,	,	PUNCT
ejpam-1374	294	35	pp	pp	X
ejpam-1374	294	36	.	.	PUNCT
ejpam-1374	295	1	266273	266273	NUM
ejpam-1374	295	2	,	,	PUNCT
ejpam-1374	295	3	world	world	NOUN
ejpam-1374	295	4	scientific	scientific	ADJ
ejpam-1374	295	5	puplishing	puplishing	NOUN
ejpam-1374	295	6	company	company	NOUN
ejpam-1374	295	7	,	,	PUNCT
ejpam-1374	295	8	singapore	singapore	PROPN
ejpam-1374	295	9	,	,	PUNCT
ejpam-1374	295	10	new	new	PROPN
ejpam-1374	295	11	jersey	jersey	PROPN
ejpam-1374	295	12	,	,	PUNCT
ejpam-1374	295	13	london	london	PROPN
ejpam-1374	295	14	and	and	CCONJ
ejpam-1374	295	15	hong	hong	PROPN
ejpam-1374	295	16	kong	kong	PROPN
ejpam-1374	295	17	,	,	PUNCT
ejpam-1374	295	18	1992	1992	NUM
ejpam-1374	295	19	.	.	PUNCT
ejpam-1374	296	1	[	[	X
ejpam-1374	296	2	10	10	NUM
ejpam-1374	296	3	]	]	X
ejpam-1374	296	4	j.	j.	PROPN
ejpam-1374	296	5	patel	patel	PROPN
ejpam-1374	296	6	and	and	CCONJ
ejpam-1374	296	7	p.	p.	PROPN
ejpam-1374	296	8	sahoo	sahoo	PROPN
ejpam-1374	296	9	,	,	PUNCT
ejpam-1374	296	10	on	on	ADP
ejpam-1374	296	11	certain	certain	ADJ
ejpam-1374	296	12	subclass	subclass	NOUN
ejpam-1374	296	13	of	of	ADP
ejpam-1374	296	14	meromorphically	meromorphically	ADV
ejpam-1374	296	15	univalent	univalent	ADJ
ejpam-1374	296	16	functions	function	NOUN
ejpam-1374	296	17	,	,	PUNCT
ejpam-1374	296	18	kyungpook	kyungpook	NOUN
ejpam-1374	296	19	math	math	NOUN
ejpam-1374	296	20	.	.	PUNCT
ejpam-1374	297	1	j.	j.	PROPN
ejpam-1374	297	2	42	42	PROPN
ejpam-1374	297	3	,	,	PUNCT
ejpam-1374	297	4	121	121	NUM
ejpam-1374	297	5	-	-	SYM
ejpam-1374	297	6	132	132	NUM
ejpam-1374	297	7	.	.	PUNCT
ejpam-1374	297	8	2002	2002	NUM
ejpam-1374	297	9	.	.	PUNCT
ejpam-1374	298	1	[	[	X
ejpam-1374	298	2	11	11	NUM
ejpam-1374	298	3	]	]	X
ejpam-1374	298	4	h.	h.	PROPN
ejpam-1374	298	5	srivastava	srivastava	PROPN
ejpam-1374	298	6	and	and	CCONJ
ejpam-1374	298	7	j.	j.	PROPN
ejpam-1374	298	8	patel	patel	PROPN
ejpam-1374	298	9	,	,	PUNCT
ejpam-1374	298	10	applications	application	NOUN
ejpam-1374	298	11	of	of	ADP
ejpam-1374	298	12	differential	differential	ADJ
ejpam-1374	298	13	subordination	subordination	NOUN
ejpam-1374	298	14	to	to	ADP
ejpam-1374	298	15	certain	certain	ADJ
ejpam-1374	298	16	subclasses	subclass	NOUN
ejpam-1374	298	17	of	of	ADP
ejpam-1374	298	18	meromorphically	meromorphically	ADV
ejpam-1374	298	19	multivalent	multivalent	NOUN
ejpam-1374	298	20	functions	function	NOUN
ejpam-1374	298	21	,	,	PUNCT
ejpam-1374	298	22	j.	j.	PROPN
ejpam-1374	298	23	inequal	inequal	PROPN
ejpam-1374	298	24	.	.	PUNCT
ejpam-1374	299	1	pure	pure	ADJ
ejpam-1374	299	2	appl	appl	PROPN
ejpam-1374	299	3	.	.	PUNCT
ejpam-1374	299	4	math	math	NOUN
ejpam-1374	299	5	.	.	PUNCT
ejpam-1374	300	1	6	6	NUM
ejpam-1374	300	2	,	,	PUNCT
ejpam-1374	300	3	no	no	INTJ
ejpam-1374	300	4	.	.	NOUN
ejpam-1374	300	5	3	3	NUM
ejpam-1374	300	6	,	,	PUNCT
ejpam-1374	300	7	art	art	NOUN
ejpam-1374	300	8	.	.	PUNCT
ejpam-1374	301	1	88	88	NUM
ejpam-1374	301	2	,	,	PUNCT
ejpam-1374	301	3	1	1	NUM
ejpam-1374	301	4	-	-	SYM
ejpam-1374	301	5	15	15	NUM
ejpam-1374	301	6	.	.	PUNCT
ejpam-1374	302	1	2005	2005	NUM
ejpam-1374	302	2	.	.	PUNCT
ejpam-1374	303	1	[	[	X
ejpam-1374	303	2	12	12	NUM
ejpam-1374	303	3	]	]	PUNCT
ejpam-1374	303	4	j.	j.	PROPN
ejpam-1374	303	5	stankiewicz	stankiewicz	PROPN
ejpam-1374	303	6	and	and	CCONJ
ejpam-1374	303	7	z.	z.	PROPN
ejpam-1374	303	8	stankiewicz	stankiewicz	PROPN
ejpam-1374	303	9	,	,	PUNCT
ejpam-1374	303	10	some	some	DET
ejpam-1374	303	11	applications	application	NOUN
ejpam-1374	303	12	of	of	ADP
ejpam-1374	303	13	the	the	DET
ejpam-1374	303	14	hadamard	hadamard	ADJ
ejpam-1374	303	15	convolution	convolution	NOUN
ejpam-1374	303	16	in	in	ADP
ejpam-1374	303	17	the	the	DET
ejpam-1374	303	18	theory	theory	NOUN
ejpam-1374	303	19	of	of	ADP
ejpam-1374	303	20	functions	function	NOUN
ejpam-1374	303	21	,	,	PUNCT
ejpam-1374	303	22	ann	ann	PROPN
ejpam-1374	303	23	.	.	PROPN
ejpam-1374	303	24	univ	univ	PROPN
ejpam-1374	303	25	.	.	PUNCT
ejpam-1374	303	26	mariae	mariae	PROPN
ejpam-1374	303	27	curie	curie	PROPN
ejpam-1374	303	28	-	-	PUNCT
ejpam-1374	303	29	sklodowska	sklodowska	NOUN
ejpam-1374	303	30	sect	sect	NOUN
ejpam-1374	303	31	.	.	PUNCT
ejpam-1374	304	1	a	a	DET
ejpam-1374	304	2	,	,	PUNCT
ejpam-1374	304	3	40	40	NUM
ejpam-1374	304	4	,	,	PUNCT
ejpam-1374	304	5	251	251	NUM
ejpam-1374	304	6	-	-	SYM
ejpam-1374	304	7	265	265	NUM
ejpam-1374	304	8	.	.	PUNCT
ejpam-1374	305	1	1986	1986	NUM
ejpam-1374	305	2	.	.	PUNCT
ejpam-1374	306	1	[	[	X
ejpam-1374	306	2	13	13	NUM
ejpam-1374	306	3	]	]	X
ejpam-1374	306	4	b.	b.	PROPN
ejpam-1374	306	5	uralegaddi	uralegaddi	PROPN
ejpam-1374	306	6	and	and	CCONJ
ejpam-1374	306	7	c.	c.	PROPN
ejpam-1374	306	8	somanatha	somanatha	PROPN
ejpam-1374	306	9	,	,	PUNCT
ejpam-1374	306	10	certain	certain	ADJ
ejpam-1374	306	11	classes	class	NOUN
ejpam-1374	306	12	of	of	ADP
ejpam-1374	306	13	meromorphic	meromorphic	ADJ
ejpam-1374	306	14	multivalent	multivalent	NOUN
ejpam-1374	306	15	functions	function	NOUN
ejpam-1374	306	16	,	,	PUNCT
ejpam-1374	306	17	tamkang	tamkang	PROPN
ejpam-1374	306	18	j.	j.	PROPN
ejpam-1374	306	19	math	math	PROPN
ejpam-1374	306	20	.	.	PUNCT
ejpam-1374	307	1	23	23	NUM
ejpam-1374	307	2	,	,	PUNCT
ejpam-1374	307	3	223	223	NUM
ejpam-1374	307	4	-	-	SYM
ejpam-1374	307	5	231	231	NUM
ejpam-1374	307	6	.	.	PUNCT
ejpam-1374	308	1	1992	1992	NUM
ejpam-1374	308	2	.	.	PUNCT
ejpam-1374	309	1	[	[	X
ejpam-1374	309	2	14	14	NUM
ejpam-1374	309	3	]	]	X
ejpam-1374	309	4	e.	e.	PROPN
ejpam-1374	309	5	whittaker	whittaker	PROPN
ejpam-1374	309	6	and	and	CCONJ
ejpam-1374	309	7	g.	g.	PROPN
ejpam-1374	309	8	watson	watson	PROPN
ejpam-1374	309	9	,	,	PUNCT
ejpam-1374	309	10	a	a	DET
ejpam-1374	309	11	course	course	NOUN
ejpam-1374	309	12	on	on	ADP
ejpam-1374	309	13	modern	modern	ADJ
ejpam-1374	309	14	analysis	analysis	NOUN
ejpam-1374	309	15	:	:	PUNCT
ejpam-1374	309	16	an	an	DET
ejpam-1374	309	17	introduction	introduction	NOUN
ejpam-1374	309	18	to	to	ADP
ejpam-1374	309	19	the	the	DET
ejpam-1374	309	20	general	general	ADJ
ejpam-1374	309	21	theory	theory	NOUN
ejpam-1374	309	22	of	of	ADP
ejpam-1374	309	23	infinite	infinite	ADJ
ejpam-1374	309	24	processes	process	NOUN
ejpam-1374	309	25	and	and	CCONJ
ejpam-1374	309	26	of	of	ADP
ejpam-1374	309	27	analytic	analytic	ADJ
ejpam-1374	309	28	functions	function	NOUN
ejpam-1374	309	29	;	;	PUNCT
ejpam-1374	309	30	with	with	ADP
ejpam-1374	309	31	an	an	DET
ejpam-1374	309	32	account	account	NOUN
ejpam-1374	309	33	of	of	ADP
ejpam-1374	309	34	the	the	DET
ejpam-1374	309	35	principal	principal	ADJ
ejpam-1374	309	36	transcendental	transcendental	ADJ
ejpam-1374	309	37	functions	function	NOUN
ejpam-1374	309	38	,	,	PUNCT
ejpam-1374	309	39	fourth	fourth	ADJ
ejpam-1374	309	40	edition	edition	NOUN
ejpam-1374	309	41	(	(	PUNCT
ejpam-1374	309	42	reprinted	reprinted	PROPN
ejpam-1374	309	43	)	)	PUNCT
ejpam-1374	309	44	,	,	PUNCT
ejpam-1374	309	45	cambridge	cambridge	PROPN
ejpam-1374	309	46	university	university	PROPN
ejpam-1374	309	47	press	press	PROPN
ejpam-1374	309	48	,	,	PUNCT
ejpam-1374	309	49	cambridge	cambridge	PROPN
ejpam-1374	309	50	,	,	PUNCT
ejpam-1374	309	51	1927	1927	NUM
ejpam-1374	309	52	.	.	PUNCT
ejpam-1374	310	1	[	[	X
ejpam-1374	310	2	15	15	NUM
ejpam-1374	310	3	]	]	X
ejpam-1374	310	4	d.	d.	PROPN
ejpam-1374	310	5	yang	yang	PROPN
ejpam-1374	310	6	,	,	PUNCT
ejpam-1374	310	7	certain	certain	ADJ
ejpam-1374	310	8	convolution	convolution	NOUN
ejpam-1374	310	9	operators	operator	NOUN
ejpam-1374	310	10	for	for	ADP
ejpam-1374	310	11	meromorphic	meromorphic	ADJ
ejpam-1374	310	12	functions	function	NOUN
ejpam-1374	310	13	,	,	PUNCT
ejpam-1374	310	14	south	south	NOUN
ejpam-1374	310	15	.	.	PUNCT
ejpam-1374	311	1	asian	asian	ADJ
ejpam-1374	311	2	bull	bull	PROPN
ejpam-1374	311	3	.	.	PUNCT
ejpam-1374	312	1	math	math	NOUN
ejpam-1374	312	2	.	.	PUNCT
ejpam-1374	313	1	25	25	NUM
ejpam-1374	313	2	,	,	PUNCT
ejpam-1374	313	3	175	175	NUM
ejpam-1374	313	4	-	-	SYM
ejpam-1374	313	5	186	186	NUM
ejpam-1374	313	6	.	.	PUNCT
ejpam-1374	314	1	2001	2001	NUM
ejpam-1374	314	2	.	.	PUNCT
ejpam-1374	315	1	[	[	X
ejpam-1374	315	2	16	16	NUM
ejpam-1374	315	3	]	]	X
ejpam-1374	315	4	d.	d.	PROPN
ejpam-1374	315	5	yang	yang	PROPN
ejpam-1374	315	6	,	,	PUNCT
ejpam-1374	315	7	on	on	ADP
ejpam-1374	315	8	a	a	DET
ejpam-1374	315	9	class	class	NOUN
ejpam-1374	315	10	of	of	ADP
ejpam-1374	315	11	meromorphic	meromorphic	ADJ
ejpam-1374	315	12	starlike	starlike	NOUN
ejpam-1374	315	13	multivalent	multivalent	NOUN
ejpam-1374	315	14	functions	function	NOUN
ejpam-1374	315	15	,	,	PUNCT
ejpam-1374	316	1	bull	bull	NOUN
ejpam-1374	316	2	.	.	PUNCT
ejpam-1374	316	3	inst	inst	PROPN
ejpam-1374	316	4	.	.	PUNCT
ejpam-1374	317	1	math	math	NOUN
ejpam-1374	317	2	.	.	PUNCT
ejpam-1374	318	1	acad	acad	PROPN
ejpam-1374	318	2	.	.	PUNCT
ejpam-1374	319	1	sinica	sinica	PROPN
ejpam-1374	319	2	,	,	PUNCT
ejpam-1374	319	3	24	24	NUM
ejpam-1374	319	4	,	,	PUNCT
ejpam-1374	319	5	151	151	NUM
ejpam-1374	319	6	-	-	SYM
ejpam-1374	319	7	157	157	NUM
ejpam-1374	319	8	.	.	PUNCT
ejpam-1374	319	9	1996	1996	NUM
ejpam-1374	319	10	.	.	PUNCT