id	sid	tid	token	lemma	pos
ejpam-520	1	1	9_520_murugus.dvi	9_520_murugus.dvi	NUM
ejpam-520	1	2	european	european	ADJ
ejpam-520	1	3	journal	journal	NOUN
ejpam-520	1	4	of	of	ADP
ejpam-520	1	5	pure	pure	ADJ
ejpam-520	1	6	and	and	CCONJ
ejpam-520	1	7	applied	apply	VERB
ejpam-520	1	8	mathematics	mathematic	NOUN
ejpam-520	1	9	vol	vol	NOUN
ejpam-520	1	10	.	.	PROPN
ejpam-520	1	11	4	4	NUM
ejpam-520	1	12	,	,	PUNCT
ejpam-520	1	13	no	no	INTJ
ejpam-520	1	14	.	.	NOUN
ejpam-520	1	15	1	1	NUM
ejpam-520	1	16	,	,	PUNCT
ejpam-520	1	17	2011	2011	NUM
ejpam-520	1	18	,	,	PUNCT
ejpam-520	1	19	76	76	NUM
ejpam-520	1	20	-	-	SYM
ejpam-520	1	21	82	82	NUM
ejpam-520	1	22	issn	issn	PROPN
ejpam-520	1	23	1307	1307	NUM
ejpam-520	1	24	-	-	SYM
ejpam-520	1	25	5543	5543	NUM
ejpam-520	1	26	–	–	PUNCT
ejpam-520	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-520	1	28	on	on	ADP
ejpam-520	1	29	certain	certain	ADJ
ejpam-520	1	30	sufficient	sufficient	ADJ
ejpam-520	1	31	conditions	condition	NOUN
ejpam-520	1	32	for	for	ADP
ejpam-520	1	33	analytic	analytic	ADJ
ejpam-520	1	34	univalent	univalent	ADJ
ejpam-520	1	35	functions	function	NOUN
ejpam-520	1	36	g.	g.	PROPN
ejpam-520	1	37	murugusundaramoorthy1,∗and	murugusundaramoorthy1,∗and	PROPN
ejpam-520	1	38	n.	n.	PROPN
ejpam-520	1	39	magesh2	magesh2	PROPN
ejpam-520	1	40	1	1	NUM
ejpam-520	1	41	school	school	NOUN
ejpam-520	1	42	of	of	ADP
ejpam-520	1	43	advanced	advanced	ADJ
ejpam-520	1	44	sciences	science	NOUN
ejpam-520	1	45	,	,	PUNCT
ejpam-520	1	46	vit	vit	NOUN
ejpam-520	1	47	university	university	NOUN
ejpam-520	1	48	,	,	PUNCT
ejpam-520	1	49	vellore	vellore	NOUN
ejpam-520	1	50	632014	632014	NUM
ejpam-520	1	51	,	,	PUNCT
ejpam-520	1	52	tamilnadu	tamilnadu	NOUN
ejpam-520	1	53	,	,	PUNCT
ejpam-520	1	54	india	india	PROPN
ejpam-520	1	55	.	.	PROPN
ejpam-520	1	56	2	2	NUM
ejpam-520	1	57	department	department	NOUN
ejpam-520	1	58	of	of	ADP
ejpam-520	1	59	mathematics	mathematic	NOUN
ejpam-520	1	60	,	,	PUNCT
ejpam-520	1	61	government	government	NOUN
ejpam-520	1	62	arts	art	NOUN
ejpam-520	1	63	college(men	college(men	PROPN
ejpam-520	1	64	)	)	PUNCT
ejpam-520	1	65	,	,	PUNCT
ejpam-520	1	66	krishnagiri-635001	krishnagiri-635001	ADJ
ejpam-520	1	67	,	,	PUNCT
ejpam-520	1	68	tamilnadu	tamilnadu	ADJ
ejpam-520	1	69	,	,	PUNCT
ejpam-520	1	70	india	india	PROPN
ejpam-520	1	71	.	.	PUNCT
ejpam-520	2	1	abstract	abstract	PROPN
ejpam-520	2	2	.	.	PUNCT
ejpam-520	3	1	in	in	ADP
ejpam-520	3	2	this	this	DET
ejpam-520	3	3	paper	paper	NOUN
ejpam-520	3	4	,	,	PUNCT
ejpam-520	3	5	we	we	PRON
ejpam-520	3	6	introduce	introduce	VERB
ejpam-520	3	7	a	a	DET
ejpam-520	3	8	new	new	ADJ
ejpam-520	3	9	class	class	NOUN
ejpam-520	3	10	bl	bl	INTJ
ejpam-520	3	11	m	m	PROPN
ejpam-520	3	12	(	(	PUNCT
ejpam-520	3	13	α	α	PROPN
ejpam-520	3	14	,	,	PUNCT
ejpam-520	3	15	δ	δ	PROPN
ejpam-520	3	16	)	)	PUNCT
ejpam-520	3	17	of	of	ADP
ejpam-520	3	18	functions	function	NOUN
ejpam-520	3	19	which	which	PRON
ejpam-520	3	20	is	be	AUX
ejpam-520	3	21	defined	define	VERB
ejpam-520	3	22	by	by	ADP
ejpam-520	3	23	hypergeometric	hypergeometric	ADJ
ejpam-520	3	24	function	function	NOUN
ejpam-520	3	25	and	and	CCONJ
ejpam-520	3	26	obtain	obtain	VERB
ejpam-520	3	27	its	its	PRON
ejpam-520	3	28	relations	relation	NOUN
ejpam-520	3	29	with	with	ADP
ejpam-520	3	30	some	some	DET
ejpam-520	3	31	well	well	ADV
ejpam-520	3	32	-	-	PUNCT
ejpam-520	3	33	known	know	VERB
ejpam-520	3	34	subclasses	subclass	NOUN
ejpam-520	3	35	of	of	ADP
ejpam-520	3	36	analytic	analytic	ADJ
ejpam-520	3	37	univalent	univalent	ADJ
ejpam-520	3	38	functions	function	NOUN
ejpam-520	3	39	.	.	PUNCT
ejpam-520	4	1	furthermore	furthermore	ADV
ejpam-520	4	2	,	,	PUNCT
ejpam-520	4	3	as	as	ADP
ejpam-520	4	4	a	a	DET
ejpam-520	4	5	special	special	ADJ
ejpam-520	4	6	case	case	NOUN
ejpam-520	4	7	,	,	PUNCT
ejpam-520	4	8	we	we	PRON
ejpam-520	4	9	show	show	VERB
ejpam-520	4	10	that	that	SCONJ
ejpam-520	4	11	convex	convex	NOUN
ejpam-520	4	12	functions	function	NOUN
ejpam-520	4	13	of	of	ADP
ejpam-520	4	14	order	order	NOUN
ejpam-520	4	15	1/2	1/2	NUM
ejpam-520	4	16	are	be	AUX
ejpam-520	4	17	also	also	ADV
ejpam-520	4	18	members	member	NOUN
ejpam-520	4	19	of	of	ADP
ejpam-520	4	20	the	the	DET
ejpam-520	4	21	family	family	NOUN
ejpam-520	4	22	bl	bl	INTJ
ejpam-520	4	23	m	m	PROPN
ejpam-520	4	24	(	(	PUNCT
ejpam-520	4	25	α	α	PROPN
ejpam-520	4	26	,	,	PUNCT
ejpam-520	4	27	δ	δ	PROPN
ejpam-520	4	28	)	)	PUNCT
ejpam-520	4	29	.	.	PUNCT
ejpam-520	5	1	2000	2000	NUM
ejpam-520	5	2	mathematics	mathematic	NOUN
ejpam-520	5	3	subject	subject	NOUN
ejpam-520	5	4	classifications	classification	NOUN
ejpam-520	5	5	:	:	PUNCT
ejpam-520	5	6	30c45	30c45	NUM
ejpam-520	5	7	key	key	ADJ
ejpam-520	5	8	words	word	NOUN
ejpam-520	5	9	and	and	CCONJ
ejpam-520	5	10	phrases	phrase	NOUN
ejpam-520	5	11	:	:	PUNCT
ejpam-520	5	12	univalent	univalent	ADJ
ejpam-520	5	13	functions	function	NOUN
ejpam-520	5	14	,	,	PUNCT
ejpam-520	5	15	starlike	starlike	NOUN
ejpam-520	5	16	functions	function	NOUN
ejpam-520	5	17	,	,	PUNCT
ejpam-520	5	18	convex	convex	NOUN
ejpam-520	5	19	functions	function	NOUN
ejpam-520	5	20	,	,	PUNCT
ejpam-520	5	21	hadamard	hadamard	ADJ
ejpam-520	5	22	product	product	NOUN
ejpam-520	5	23	,	,	PUNCT
ejpam-520	5	24	generalized	generalize	VERB
ejpam-520	5	25	hypergeometric	hypergeometric	ADJ
ejpam-520	5	26	functions	function	NOUN
ejpam-520	5	27	.	.	PUNCT
ejpam-520	6	1	1	1	X
ejpam-520	6	2	.	.	X
ejpam-520	6	3	introduction	introduction	NOUN
ejpam-520	6	4	leta	leta	PROPN
ejpam-520	6	5	denote	denote	VERB
ejpam-520	6	6	the	the	DET
ejpam-520	6	7	class	class	NOUN
ejpam-520	6	8	of	of	ADP
ejpam-520	6	9	functions	function	NOUN
ejpam-520	6	10	of	of	ADP
ejpam-520	6	11	the	the	DET
ejpam-520	6	12	form	form	NOUN
ejpam-520	6	13	f	f	X
ejpam-520	6	14	(	(	PUNCT
ejpam-520	6	15	z	z	NOUN
ejpam-520	6	16	)	)	PUNCT
ejpam-520	6	17	=	=	SYM
ejpam-520	7	1	z	z	NOUN
ejpam-520	8	1	+	+	NUM
ejpam-520	8	2	∞	∞	NUM
ejpam-520	8	3	∑	∑	PUNCT
ejpam-520	8	4	n=2	n=2	PRON
ejpam-520	8	5	anzn	anzn	NOUN
ejpam-520	8	6	(	(	PUNCT
ejpam-520	8	7	1	1	NUM
ejpam-520	8	8	)	)	PUNCT
ejpam-520	8	9	which	which	PRON
ejpam-520	8	10	are	be	AUX
ejpam-520	8	11	analytic	analytic	ADJ
ejpam-520	8	12	and	and	CCONJ
ejpam-520	8	13	univalent	univalent	ADJ
ejpam-520	8	14	in	in	ADP
ejpam-520	8	15	the	the	DET
ejpam-520	8	16	open	open	ADJ
ejpam-520	8	17	disc	disc	NOUN
ejpam-520	8	18	u	u	NOUN
ejpam-520	8	19	=	=	PUNCT
ejpam-520	8	20	{	{	PUNCT
ejpam-520	8	21	z	z	NOUN
ejpam-520	8	22	:	:	PUNCT
ejpam-520	8	23	|z|	|z|	NOUN
ejpam-520	8	24	<	<	X
ejpam-520	8	25	1	1	NUM
ejpam-520	8	26	}	}	PUNCT
ejpam-520	8	27	and	and	CCONJ
ejpam-520	8	28	normalized	normalize	VERB
ejpam-520	8	29	by	by	ADP
ejpam-520	8	30	f	f	PROPN
ejpam-520	8	31	(	(	PUNCT
ejpam-520	8	32	0	0	NUM
ejpam-520	8	33	)	)	PUNCT
ejpam-520	8	34	=	=	SYM
ejpam-520	8	35	0	0	PUNCT
ejpam-520	9	1	=	=	SYM
ejpam-520	9	2	f	f	X
ejpam-520	10	1	′(0)−	′(0)−	NOUN
ejpam-520	10	2	1	1	X
ejpam-520	10	3	.	.	X
ejpam-520	11	1	we	we	PRON
ejpam-520	11	2	denote	denote	VERB
ejpam-520	11	3	by	by	ADP
ejpam-520	11	4	s∗(α	s∗(α	NOUN
ejpam-520	11	5	)	)	PUNCT
ejpam-520	11	6	and	and	CCONJ
ejpam-520	11	7	k(α	k(α	PROPN
ejpam-520	11	8	)	)	PUNCT
ejpam-520	11	9	the	the	DET
ejpam-520	11	10	subclasses	subclass	NOUN
ejpam-520	11	11	of	of	ADP
ejpam-520	11	12	a	a	DET
ejpam-520	11	13	consisting	consisting	NOUN
ejpam-520	11	14	of	of	ADP
ejpam-520	11	15	all	all	DET
ejpam-520	11	16	functions	function	NOUN
ejpam-520	11	17	which	which	PRON
ejpam-520	11	18	are	be	AUX
ejpam-520	11	19	,	,	PUNCT
ejpam-520	11	20	respectively	respectively	ADV
ejpam-520	11	21	starlike	starlike	NOUN
ejpam-520	11	22	and	and	CCONJ
ejpam-520	11	23	convex	convex	NOUN
ejpam-520	11	24	of	of	ADP
ejpam-520	11	25	order	order	NOUN
ejpam-520	11	26	α	α	NOUN
ejpam-520	11	27	.	.	PUNCT
ejpam-520	12	1	thus	thus	ADV
ejpam-520	12	2	,	,	PUNCT
ejpam-520	12	3	s∗(α	s∗(α	PRON
ejpam-520	12	4	)	)	PUNCT
ejpam-520	12	5	=	=	SYM
ejpam-520	12	6	�	�	PROPN
ejpam-520	12	7	f	f	PROPN
ejpam-520	12	8	∈a	∈a	PROPN
ejpam-520	12	9	:	:	PUNCT
ejpam-520	12	10	re	re	X
ejpam-520	12	11	�	�	PROPN
ejpam-520	12	12	z	z	PROPN
ejpam-520	12	13	f	f	PROPN
ejpam-520	12	14	′(z	′(z	NOUN
ejpam-520	12	15	)	)	PUNCT
ejpam-520	12	16	f	f	PROPN
ejpam-520	12	17	(	(	PUNCT
ejpam-520	12	18	z	z	NOUN
ejpam-520	12	19	)	)	PUNCT
ejpam-520	12	20	�	�	PROPN
ejpam-520	12	21	>	>	X
ejpam-520	12	22	α	α	PROPN
ejpam-520	12	23	,	,	PUNCT
ejpam-520	12	24	0≤	0≤	ADJ
ejpam-520	12	25	α	α	NOUN
ejpam-520	12	26	<	<	X
ejpam-520	12	27	1	1	NUM
ejpam-520	12	28	,	,	PUNCT
ejpam-520	12	29	z	z	PROPN
ejpam-520	12	30	∈	∈	PROPN
ejpam-520	12	31	u	u	PROPN
ejpam-520	12	32	�	�	PROPN
ejpam-520	12	33	and	and	CCONJ
ejpam-520	12	34	k(α	k(α	PROPN
ejpam-520	12	35	)	)	PUNCT
ejpam-520	12	36	=	=	SYM
ejpam-520	12	37	�	�	PROPN
ejpam-520	12	38	f	f	PROPN
ejpam-520	12	39	∈	∈	PROPN
ejpam-520	13	1	a	a	DET
ejpam-520	13	2	:	:	PUNCT
ejpam-520	13	3	re	re	PUNCT
ejpam-520	13	4	�	�	PROPN
ejpam-520	13	5	1	1	NUM
ejpam-520	13	6	+	+	PROPN
ejpam-520	13	7	z	z	PROPN
ejpam-520	13	8	f	f	NOUN
ejpam-520	13	9	′′(z	′′(z	PROPN
ejpam-520	13	10	)	)	PUNCT
ejpam-520	13	11	f	f	PROPN
ejpam-520	13	12	′(z	′(z	NOUN
ejpam-520	13	13	)	)	PUNCT
ejpam-520	13	14	�	�	PROPN
ejpam-520	13	15	>	>	X
ejpam-520	13	16	α	α	PROPN
ejpam-520	13	17	,	,	PUNCT
ejpam-520	13	18	0≤	0≤	ADJ
ejpam-520	13	19	α	α	NOUN
ejpam-520	13	20	<	<	X
ejpam-520	13	21	1	1	NUM
ejpam-520	13	22	,	,	PUNCT
ejpam-520	13	23	z	z	PROPN
ejpam-520	13	24	∈	∈	PROPN
ejpam-520	13	25	u	u	PROPN
ejpam-520	13	26	�	�	PROPN
ejpam-520	13	27	.	.	PUNCT
ejpam-520	14	1	∗corresponding	∗corresponde	VERB
ejpam-520	14	2	author	author	NOUN
ejpam-520	14	3	.	.	PUNCT
ejpam-520	15	1	email	email	NOUN
ejpam-520	15	2	addresses	address	NOUN
ejpam-520	15	3	:	:	PUNCT
ejpam-520	15	4	gmsmoorthy	gmsmoorthy	PROPN
ejpam-520	15	5	�	�	PROPN
ejpam-520	15	6	yahoo	yahoo	PROPN
ejpam-520	15	7	.	.	PUNCT
ejpam-520	16	1	om	om	PROPN
ejpam-520	16	2	(	(	PUNCT
ejpam-520	16	3	g.	g.	PROPN
ejpam-520	16	4	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-520	16	5	)	)	PUNCT
ejpam-520	16	6	,	,	PUNCT
ejpam-520	16	7	nmagi_2000	nmagi_2000	PROPN
ejpam-520	16	8	�	�	PROPN
ejpam-520	16	9	yahoo	yahoo	PROPN
ejpam-520	16	10	.	.	PUNCT
ejpam-520	17	1	o.in	o.in	PROPN
ejpam-520	17	2	(	(	PUNCT
ejpam-520	17	3	n.magesh	n.magesh	ADJ
ejpam-520	17	4	)	)	PUNCT
ejpam-520	17	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-520	18	1	76	76	NUM
ejpam-520	19	1	c	c	X
ejpam-520	19	2	©	©	PROPN
ejpam-520	19	3	2010	2010	NUM
ejpam-520	19	4	ejpam	ejpam	NOUN
ejpam-520	19	5	all	all	DET
ejpam-520	19	6	rights	right	NOUN
ejpam-520	19	7	reserved	reserve	VERB
ejpam-520	19	8	.	.	PUNCT
ejpam-520	20	1	g.	g.	PROPN
ejpam-520	20	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-520	20	3	and	and	CCONJ
ejpam-520	20	4	n.	n.	PROPN
ejpam-520	20	5	magesh	magesh	PROPN
ejpam-520	20	6	/	/	SYM
ejpam-520	20	7	eur	eur	PROPN
ejpam-520	20	8	.	.	PUNCT
ejpam-520	21	1	j.	j.	PROPN
ejpam-520	21	2	pure	pure	PROPN
ejpam-520	21	3	appl	appl	PROPN
ejpam-520	21	4	.	.	PROPN
ejpam-520	21	5	math	math	PROPN
ejpam-520	21	6	,	,	PUNCT
ejpam-520	21	7	4	4	NUM
ejpam-520	21	8	(	(	PUNCT
ejpam-520	21	9	2011	2011	NUM
ejpam-520	21	10	)	)	PUNCT
ejpam-520	21	11	,	,	PUNCT
ejpam-520	21	12	76	76	NUM
ejpam-520	21	13	-	-	SYM
ejpam-520	21	14	82	82	NUM
ejpam-520	21	15	77	77	NUM
ejpam-520	21	16	we	we	PRON
ejpam-520	21	17	notice	notice	VERB
ejpam-520	22	1	that	that	SCONJ
ejpam-520	22	2	k(α)⊂	k(α)⊂	PROPN
ejpam-520	22	3	s∗(α)⊂a	s∗(α)⊂a	ADV
ejpam-520	22	4	.	.	PUNCT
ejpam-520	23	1	further	far	ADV
ejpam-520	23	2	,	,	PUNCT
ejpam-520	23	3	r(α	r(α	PROPN
ejpam-520	23	4	)	)	PUNCT
ejpam-520	23	5	=	=	SYM
ejpam-520	23	6	�	�	PROPN
ejpam-520	23	7	f	f	PROPN
ejpam-520	23	8	∈	∈	PROPN
ejpam-520	23	9	a	a	DET
ejpam-520	23	10	:	:	PUNCT
ejpam-520	23	11	re	re	PUNCT
ejpam-520	23	12	�	�	PROPN
ejpam-520	23	13	f	f	PROPN
ejpam-520	23	14	′(z	′(z	NOUN
ejpam-520	23	15	)	)	PUNCT
ejpam-520	23	16	�	�	PROPN
ejpam-520	23	17	>	>	X
ejpam-520	23	18	α	α	PROPN
ejpam-520	23	19	,	,	PUNCT
ejpam-520	23	20	0≤	0≤	ADJ
ejpam-520	23	21	α	α	NOUN
ejpam-520	23	22	<	<	X
ejpam-520	23	23	1	1	NUM
ejpam-520	23	24	,	,	PUNCT
ejpam-520	23	25	z	z	PROPN
ejpam-520	23	26	∈	∈	PROPN
ejpam-520	23	27	u	u	NOUN
ejpam-520	23	28	.	.	PUNCT
ejpam-520	24	1	if	if	SCONJ
ejpam-520	24	2	f	f	PROPN
ejpam-520	24	3	and	and	CCONJ
ejpam-520	24	4	g	g	PROPN
ejpam-520	24	5	are	be	AUX
ejpam-520	24	6	analytic	analytic	ADJ
ejpam-520	24	7	functions	function	NOUN
ejpam-520	24	8	in	in	ADP
ejpam-520	24	9	u	u	PROPN
ejpam-520	24	10	,	,	PUNCT
ejpam-520	24	11	we	we	PRON
ejpam-520	24	12	say	say	VERB
ejpam-520	24	13	that	that	SCONJ
ejpam-520	24	14	f	f	PROPN
ejpam-520	24	15	is	be	AUX
ejpam-520	24	16	subordinate	subordinate	ADJ
ejpam-520	24	17	to	to	ADP
ejpam-520	24	18	g	g	NOUN
ejpam-520	24	19	,	,	PUNCT
ejpam-520	24	20	written	write	VERB
ejpam-520	24	21	f	f	PROPN
ejpam-520	24	22	≺	≺	VERB
ejpam-520	24	23	g	g	NOUN
ejpam-520	24	24	,	,	PUNCT
ejpam-520	24	25	if	if	SCONJ
ejpam-520	24	26	there	there	PRON
ejpam-520	24	27	is	be	VERB
ejpam-520	24	28	a	a	DET
ejpam-520	24	29	function	function	NOUN
ejpam-520	24	30	w	w	ADP
ejpam-520	24	31	analytic	analytic	ADJ
ejpam-520	24	32	in	in	ADP
ejpam-520	24	33	u	u	PROPN
ejpam-520	24	34	,	,	PUNCT
ejpam-520	24	35	with	with	ADP
ejpam-520	24	36	w(0	w(0	PROPN
ejpam-520	24	37	)	)	PUNCT
ejpam-520	24	38	=	=	SYM
ejpam-520	25	1	0	0	NUM
ejpam-520	25	2	,	,	PUNCT
ejpam-520	25	3	|w(z)|	|w(z)|	VERB
ejpam-520	25	4	<	<	X
ejpam-520	25	5	1	1	NUM
ejpam-520	25	6	,	,	PUNCT
ejpam-520	25	7	for	for	ADP
ejpam-520	25	8	all	all	DET
ejpam-520	25	9	z	z	NOUN
ejpam-520	25	10	∈	∈	NOUN
ejpam-520	25	11	u	u	NOUN
ejpam-520	25	12	such	such	ADJ
ejpam-520	25	13	that	that	SCONJ
ejpam-520	25	14	f	f	PROPN
ejpam-520	25	15	(	(	PUNCT
ejpam-520	25	16	z	z	NOUN
ejpam-520	25	17	)	)	PUNCT
ejpam-520	25	18	=	=	PUNCT
ejpam-520	25	19	g(w(z	g(w(z	PROPN
ejpam-520	25	20	)	)	PUNCT
ejpam-520	25	21	)	)	PUNCT
ejpam-520	25	22	for	for	ADP
ejpam-520	25	23	all	all	DET
ejpam-520	25	24	z	z	NOUN
ejpam-520	25	25	∈	∈	PROPN
ejpam-520	25	26	u	u	NOUN
ejpam-520	25	27	.	.	PUNCT
ejpam-520	26	1	if	if	SCONJ
ejpam-520	26	2	g	g	PROPN
ejpam-520	26	3	is	be	AUX
ejpam-520	26	4	univalent	univalent	ADJ
ejpam-520	26	5	,	,	PUNCT
ejpam-520	26	6	then	then	ADV
ejpam-520	26	7	f	f	PROPN
ejpam-520	26	8	≺	≺	VERB
ejpam-520	26	9	g	g	PROPN
ejpam-520	26	10	if	if	SCONJ
ejpam-520	26	11	and	and	CCONJ
ejpam-520	26	12	only	only	ADV
ejpam-520	26	13	if	if	SCONJ
ejpam-520	26	14	f	f	PROPN
ejpam-520	26	15	(	(	PUNCT
ejpam-520	26	16	0	0	NUM
ejpam-520	26	17	)	)	PUNCT
ejpam-520	26	18	=	=	SYM
ejpam-520	26	19	g(0	g(0	PROPN
ejpam-520	26	20	)	)	PUNCT
ejpam-520	26	21	and	and	CCONJ
ejpam-520	26	22	f	f	PROPN
ejpam-520	26	23	(	(	PUNCT
ejpam-520	26	24	u)⊆	u)⊆	PROPN
ejpam-520	26	25	g(u	g(u	PROPN
ejpam-520	26	26	)	)	PUNCT
ejpam-520	26	27	.	.	PUNCT
ejpam-520	27	1	for	for	ADP
ejpam-520	27	2	functionsφ	functionsφ	PROPN
ejpam-520	27	3	∈a	∈a	VERB
ejpam-520	27	4	given	give	VERB
ejpam-520	27	5	by	by	ADP
ejpam-520	27	6	φ(z	φ(z	PROPN
ejpam-520	27	7	)	)	PUNCT
ejpam-520	27	8	=	=	PUNCT
ejpam-520	27	9	z+	z+	NUM
ejpam-520	27	10	∞	∞	PROPN
ejpam-520	27	11	∑	∑	PUNCT
ejpam-520	27	12	n=2	n=2	PRON
ejpam-520	27	13	φnzn	φnzn	PROPN
ejpam-520	27	14	andψ	andψ	VERB
ejpam-520	27	15	∈a	∈a	VERB
ejpam-520	27	16	given	give	VERB
ejpam-520	27	17	byψ(z	byψ(z	PROPN
ejpam-520	27	18	)	)	PUNCT
ejpam-520	27	19	=	=	PUNCT
ejpam-520	28	1	z+	z+	NUM
ejpam-520	28	2	∞	∞	PROPN
ejpam-520	28	3	∑	∑	PUNCT
ejpam-520	28	4	n=2	n=2	PRON
ejpam-520	28	5	ψnzn	ψnzn	VERB
ejpam-520	28	6	,	,	PUNCT
ejpam-520	28	7	we	we	PRON
ejpam-520	28	8	define	define	VERB
ejpam-520	28	9	the	the	DET
ejpam-520	28	10	hadamard	hadamard	ADJ
ejpam-520	28	11	product	product	NOUN
ejpam-520	28	12	(	(	PUNCT
ejpam-520	28	13	or	or	CCONJ
ejpam-520	28	14	convolution	convolution	NOUN
ejpam-520	28	15	)	)	PUNCT
ejpam-520	28	16	of	of	ADP
ejpam-520	28	17	φ	φ	PROPN
ejpam-520	28	18	and	and	CCONJ
ejpam-520	28	19	ψ	ψ	X
ejpam-520	28	20	by	by	ADP
ejpam-520	28	21	(	(	PUNCT
ejpam-520	28	22	φ	φ	NOUN
ejpam-520	28	23	∗ψ)(z	∗ψ)(z	NOUN
ejpam-520	28	24	)	)	PUNCT
ejpam-520	28	25	=	=	SYM
ejpam-520	28	26	z	z	NOUN
ejpam-520	29	1	+	+	NUM
ejpam-520	29	2	∞	∞	NUM
ejpam-520	29	3	∑	∑	PROPN
ejpam-520	29	4	n=2	n=2	PART
ejpam-520	29	5	φnψnzn	φnψnzn	NOUN
ejpam-520	29	6	,	,	PUNCT
ejpam-520	29	7	z	z	PROPN
ejpam-520	29	8	∈	∈	PROPN
ejpam-520	29	9	u	u	NOUN
ejpam-520	29	10	.	.	PUNCT
ejpam-520	30	1	(	(	PUNCT
ejpam-520	30	2	2	2	X
ejpam-520	30	3	)	)	PUNCT
ejpam-520	30	4	for	for	ADP
ejpam-520	30	5	complex	complex	ADJ
ejpam-520	30	6	parameters	parameter	NOUN
ejpam-520	30	7	α1	α1	PROPN
ejpam-520	30	8	,	,	PUNCT
ejpam-520	30	9	.	.	PUNCT
ejpam-520	30	10	.	.	PUNCT
ejpam-520	30	11	.	.	PUNCT
ejpam-520	31	1	,	,	PUNCT
ejpam-520	31	2	αl	αl	ADP
ejpam-520	31	3	and	and	CCONJ
ejpam-520	31	4	β1	β1	PROPN
ejpam-520	31	5	,	,	PUNCT
ejpam-520	31	6	.	.	PUNCT
ejpam-520	31	7	.	.	PUNCT
ejpam-520	32	1	.	.	PUNCT
ejpam-520	33	1	,	,	PUNCT
ejpam-520	33	2	βm	βm	VERB
ejpam-520	33	3	(	(	PUNCT
ejpam-520	33	4	β	β	X
ejpam-520	33	5	j	j	PROPN
ejpam-520	33	6	6=	6=	PROPN
ejpam-520	33	7	0,−1	0,−1	PROPN
ejpam-520	33	8	,	,	PUNCT
ejpam-520	33	9	.	.	PUNCT
ejpam-520	33	10	.	.	PUNCT
ejpam-520	33	11	.	.	PUNCT
ejpam-520	34	1	;	;	PUNCT
ejpam-520	34	2	j	j	PROPN
ejpam-520	34	3	=	=	SYM
ejpam-520	34	4	1,2	1,2	NUM
ejpam-520	34	5	,	,	PUNCT
ejpam-520	34	6	.	.	PUNCT
ejpam-520	34	7	.	.	PUNCT
ejpam-520	35	1	.	.	PUNCT
ejpam-520	36	1	,	,	PUNCT
ejpam-520	36	2	m	m	X
ejpam-520	36	3	)	)	PUNCT
ejpam-520	36	4	the	the	DET
ejpam-520	36	5	generalized	generalize	VERB
ejpam-520	36	6	hypergeometric	hypergeometric	ADJ
ejpam-520	36	7	function	function	NOUN
ejpam-520	36	8	l	l	NOUN
ejpam-520	36	9	fm(z	fm(z	NOUN
ejpam-520	36	10	)	)	PUNCT
ejpam-520	36	11	is	be	AUX
ejpam-520	36	12	defined	define	VERB
ejpam-520	36	13	by	by	ADP
ejpam-520	36	14	l	l	NOUN
ejpam-520	36	15	fm(z	fm(z	NOUN
ejpam-520	36	16	)	)	PUNCT
ejpam-520	36	17	≡	≡	PROPN
ejpam-520	36	18	l	l	NOUN
ejpam-520	36	19	fm(α1	fm(α1	NOUN
ejpam-520	36	20	,	,	PUNCT
ejpam-520	36	21	.	.	PUNCT
ejpam-520	36	22	.	.	PUNCT
ejpam-520	36	23	.αl	.αl	PUNCT
ejpam-520	37	1	;	;	PUNCT
ejpam-520	37	2	β1	β1	PROPN
ejpam-520	37	3	,	,	PUNCT
ejpam-520	37	4	.	.	PUNCT
ejpam-520	37	5	.	.	PUNCT
ejpam-520	37	6	.	.	PUNCT
ejpam-520	38	1	,	,	PUNCT
ejpam-520	38	2	βm	βm	VERB
ejpam-520	38	3	;	;	PUNCT
ejpam-520	38	4	z	z	X
ejpam-520	38	5	)	)	PUNCT
ejpam-520	38	6	:	:	PUNCT
ejpam-520	39	1	=	=	SYM
ejpam-520	39	2	∞	∞	NUM
ejpam-520	39	3	∑	∑	SYM
ejpam-520	39	4	n=0	n=0	NUM
ejpam-520	39	5	(	(	PUNCT
ejpam-520	39	6	α1)n	α1)n	NOUN
ejpam-520	39	7	.	.	PUNCT
ejpam-520	39	8	.	.	PUNCT
ejpam-520	39	9	.	.	PUNCT
ejpam-520	40	1	(	(	PUNCT
ejpam-520	40	2	αl)n	αl)n	NOUN
ejpam-520	40	3	(	(	PUNCT
ejpam-520	40	4	β1)n	β1)n	NOUN
ejpam-520	40	5	.	.	PUNCT
ejpam-520	40	6	.	.	PUNCT
ejpam-520	40	7	.	.	PUNCT
ejpam-520	41	1	(	(	PUNCT
ejpam-520	41	2	βm)n	βm)n	ADP
ejpam-520	41	3	zn	zn	PROPN
ejpam-520	41	4	n	n	CCONJ
ejpam-520	41	5	!	!	PUNCT
ejpam-520	42	1	(	(	PUNCT
ejpam-520	42	2	3	3	X
ejpam-520	42	3	)	)	PUNCT
ejpam-520	42	4	(	(	PUNCT
ejpam-520	42	5	l	l	NOUN
ejpam-520	42	6	≤	≤	NUM
ejpam-520	42	7	m+	m+	NUM
ejpam-520	42	8	1	1	NUM
ejpam-520	42	9	;	;	PUNCT
ejpam-520	42	10	l	l	NOUN
ejpam-520	42	11	,	,	PUNCT
ejpam-520	42	12	m	m	PROPN
ejpam-520	42	13	∈	∈	NOUN
ejpam-520	42	14	n0	n0	NOUN
ejpam-520	42	15	:	:	PUNCT
ejpam-520	42	16	=	=	NOUN
ejpam-520	42	17	n	n	CCONJ
ejpam-520	42	18	∪	∪	X
ejpam-520	42	19	{	{	PUNCT
ejpam-520	42	20	0	0	NUM
ejpam-520	42	21	}	}	PUNCT
ejpam-520	42	22	;	;	PUNCT
ejpam-520	42	23	z	z	PROPN
ejpam-520	42	24	∈	∈	PROPN
ejpam-520	42	25	u	u	NOUN
ejpam-520	42	26	)	)	PUNCT
ejpam-520	42	27	where	where	SCONJ
ejpam-520	42	28	n	n	PRON
ejpam-520	42	29	denotes	denote	VERB
ejpam-520	42	30	the	the	DET
ejpam-520	42	31	set	set	NOUN
ejpam-520	42	32	of	of	ADP
ejpam-520	42	33	all	all	DET
ejpam-520	42	34	positive	positive	ADJ
ejpam-520	42	35	integers	integer	NOUN
ejpam-520	42	36	and	and	CCONJ
ejpam-520	42	37	(	(	PUNCT
ejpam-520	42	38	α)n	α)n	ADJ
ejpam-520	42	39	is	be	AUX
ejpam-520	42	40	the	the	DET
ejpam-520	42	41	pochhammer	pochhammer	NOUN
ejpam-520	42	42	symbol	symbol	NOUN
ejpam-520	42	43	defined	define	VERB
ejpam-520	42	44	by	by	ADP
ejpam-520	42	45	(	(	PUNCT
ejpam-520	42	46	α)n	α)n	ADJ
ejpam-520	42	47	=	=	SYM
ejpam-520	42	48	¨	¨	NOUN
ejpam-520	42	49	1	1	NUM
ejpam-520	42	50	,	,	PUNCT
ejpam-520	42	51	n=	n=	ADJ
ejpam-520	42	52	0	0	PUNCT
ejpam-520	42	53	α(α+	α(α+	NUM
ejpam-520	42	54	1)(α+	1)(α+	NUM
ejpam-520	42	55	2	2	NUM
ejpam-520	42	56	)	)	PUNCT
ejpam-520	42	57	.	.	PUNCT
ejpam-520	42	58	.	.	PUNCT
ejpam-520	42	59	.	.	PUNCT
ejpam-520	43	1	(	(	PUNCT
ejpam-520	43	2	α+	α+	X
ejpam-520	43	3	n−	n−	NOUN
ejpam-520	43	4	1	1	NUM
ejpam-520	43	5	)	)	PUNCT
ejpam-520	43	6	,	,	PUNCT
ejpam-520	43	7	n	n	PROPN
ejpam-520	43	8	∈	∈	PROPN
ejpam-520	43	9	n	n	NOUN
ejpam-520	43	10	.	.	PUNCT
ejpam-520	44	1	(	(	PUNCT
ejpam-520	44	2	4	4	X
ejpam-520	44	3	)	)	PUNCT
ejpam-520	44	4	let	let	VERB
ejpam-520	44	5	h(α1	h(α1	NOUN
ejpam-520	44	6	,	,	PUNCT
ejpam-520	44	7	.	.	PUNCT
ejpam-520	44	8	.	.	PUNCT
ejpam-520	44	9	.αl	.αl	PUNCT
ejpam-520	45	1	;	;	PUNCT
ejpam-520	45	2	β1	β1	PROPN
ejpam-520	45	3	,	,	PUNCT
ejpam-520	45	4	.	.	PUNCT
ejpam-520	45	5	.	.	PUNCT
ejpam-520	45	6	.	.	PUNCT
ejpam-520	46	1	,	,	PUNCT
ejpam-520	46	2	βm	βm	VERB
ejpam-520	46	3	)	)	PUNCT
ejpam-520	46	4	:	:	PUNCT
ejpam-520	46	5	a	a	DET
ejpam-520	46	6	→a	→a	PUNCT
ejpam-520	46	7	be	be	AUX
ejpam-520	46	8	a	a	DET
ejpam-520	46	9	linear	linear	ADJ
ejpam-520	46	10	operator	operator	NOUN
ejpam-520	46	11	defined	define	VERB
ejpam-520	46	12	by	by	ADP
ejpam-520	46	13	[	[	X
ejpam-520	46	14	(	(	PUNCT
ejpam-520	46	15	h(α1	h(α1	NOUN
ejpam-520	46	16	,	,	PUNCT
ejpam-520	46	17	.	.	PUNCT
ejpam-520	46	18	.	.	PUNCT
ejpam-520	46	19	.αl	.αl	PUNCT
ejpam-520	47	1	;	;	PUNCT
ejpam-520	47	2	β1	β1	PROPN
ejpam-520	47	3	,	,	PUNCT
ejpam-520	47	4	.	.	PUNCT
ejpam-520	47	5	.	.	PUNCT
ejpam-520	47	6	.	.	PUNCT
ejpam-520	48	1	,	,	PUNCT
ejpam-520	48	2	βm	βm	VERB
ejpam-520	48	3	)	)	PUNCT
ejpam-520	48	4	)	)	PUNCT
ejpam-520	49	1	(	(	PUNCT
ejpam-520	49	2	f	f	PROPN
ejpam-520	49	3	)	)	PUNCT
ejpam-520	49	4	]	]	X
ejpam-520	49	5	(	(	PUNCT
ejpam-520	49	6	z	z	NOUN
ejpam-520	49	7	)	)	PUNCT
ejpam-520	49	8	:	:	PUNCT
ejpam-520	50	1	=	=	PUNCT
ejpam-520	50	2	z	z	SYM
ejpam-520	50	3	l	l	NOUN
ejpam-520	50	4	fm(α1,α2	fm(α1,α2	PROPN
ejpam-520	50	5	,	,	PUNCT
ejpam-520	50	6	.	.	PUNCT
ejpam-520	50	7	.	.	PUNCT
ejpam-520	50	8	.αl	.αl	PUNCT
ejpam-520	51	1	;	;	PUNCT
ejpam-520	51	2	β1,β2	β1,β2	PROPN
ejpam-520	51	3	.	.	PUNCT
ejpam-520	51	4	.	.	PUNCT
ejpam-520	52	1	.	.	PUNCT
ejpam-520	53	1	,	,	PUNCT
ejpam-520	53	2	βm	βm	VERB
ejpam-520	53	3	;	;	PUNCT
ejpam-520	53	4	z	z	X
ejpam-520	53	5	)	)	PUNCT
ejpam-520	53	6	∗	∗	NOUN
ejpam-520	53	7	f	f	PROPN
ejpam-520	53	8	(	(	PUNCT
ejpam-520	53	9	z	z	NOUN
ejpam-520	53	10	)	)	PUNCT
ejpam-520	53	11	=	=	SYM
ejpam-520	54	1	z	z	NOUN
ejpam-520	55	1	+	+	NUM
ejpam-520	55	2	∞	∞	NUM
ejpam-520	55	3	∑	∑	PUNCT
ejpam-520	55	4	n=2	n=2	PRON
ejpam-520	55	5	γn	γn	ADP
ejpam-520	55	6	anzn	anzn	NOUN
ejpam-520	55	7	(	(	PUNCT
ejpam-520	55	8	5	5	NUM
ejpam-520	55	9	)	)	PUNCT
ejpam-520	55	10	where	where	SCONJ
ejpam-520	55	11	γn	γn	AUX
ejpam-520	55	12	=	=	SYM
ejpam-520	55	13	(	(	PUNCT
ejpam-520	55	14	α1)n−1	α1)n−1	ADP
ejpam-520	55	15	.	.	PUNCT
ejpam-520	55	16	.	.	PUNCT
ejpam-520	55	17	.	.	PUNCT
ejpam-520	56	1	(	(	PUNCT
ejpam-520	56	2	αl)n−1	αl)n−1	PROPN
ejpam-520	56	3	(	(	PUNCT
ejpam-520	56	4	n−	n−	NOUN
ejpam-520	56	5	1)!(β1)n−1	1)!(β1)n−1	PROPN
ejpam-520	56	6	.	.	PUNCT
ejpam-520	56	7	.	.	PUNCT
ejpam-520	56	8	.	.	PUNCT
ejpam-520	57	1	(	(	PUNCT
ejpam-520	57	2	βm)n−1	βm)n−1	PUNCT
ejpam-520	57	3	.	.	PUNCT
ejpam-520	58	1	(	(	PUNCT
ejpam-520	58	2	6	6	NUM
ejpam-520	58	3	)	)	PUNCT
ejpam-520	58	4	for	for	ADP
ejpam-520	58	5	notational	notational	ADJ
ejpam-520	58	6	simplicity	simplicity	NOUN
ejpam-520	58	7	,	,	PUNCT
ejpam-520	58	8	we	we	PRON
ejpam-520	58	9	can	can	AUX
ejpam-520	58	10	use	use	VERB
ejpam-520	58	11	a	a	DET
ejpam-520	58	12	shorter	short	ADJ
ejpam-520	58	13	notation	notation	NOUN
ejpam-520	58	14	h	h	NOUN
ejpam-520	58	15	l	l	NOUN
ejpam-520	58	16	m[α1	m[α1	X
ejpam-520	58	17	]	]	X
ejpam-520	58	18	for	for	ADP
ejpam-520	58	19	h(α1	h(α1	NOUN
ejpam-520	58	20	,	,	PUNCT
ejpam-520	58	21	.	.	PUNCT
ejpam-520	58	22	.	.	PUNCT
ejpam-520	58	23	.αl	.αl	PUNCT
ejpam-520	59	1	;	;	PUNCT
ejpam-520	59	2	β1	β1	PROPN
ejpam-520	59	3	,	,	PUNCT
ejpam-520	59	4	.	.	PUNCT
ejpam-520	59	5	.	.	PUNCT
ejpam-520	59	6	.	.	PUNCT
ejpam-520	60	1	,	,	PUNCT
ejpam-520	60	2	βm	βm	VERB
ejpam-520	60	3	)	)	PUNCT
ejpam-520	60	4	in	in	ADP
ejpam-520	60	5	the	the	DET
ejpam-520	60	6	sequel	sequel	NOUN
ejpam-520	60	7	.	.	PUNCT
ejpam-520	61	1	the	the	DET
ejpam-520	61	2	linear	linear	PROPN
ejpam-520	61	3	operator	operator	NOUN
ejpam-520	61	4	h	h	NOUN
ejpam-520	61	5	l	l	NOUN
ejpam-520	61	6	m[α1	m[α1	X
ejpam-520	61	7	]	]	X
ejpam-520	61	8	is	be	AUX
ejpam-520	61	9	called	call	VERB
ejpam-520	61	10	dziok	dziok	NOUN
ejpam-520	61	11	-	-	PUNCT
ejpam-520	61	12	srivastava	srivastava	PROPN
ejpam-520	61	13	operator	operator	NOUN
ejpam-520	61	14	(	(	PUNCT
ejpam-520	61	15	see	see	VERB
ejpam-520	61	16	[	[	X
ejpam-520	61	17	3	3	NUM
ejpam-520	61	18	]	]	NUM
ejpam-520	61	19	)	)	PUNCT
ejpam-520	61	20	,	,	PUNCT
ejpam-520	61	21	includes	include	VERB
ejpam-520	61	22	(	(	PUNCT
ejpam-520	61	23	as	as	ADP
ejpam-520	61	24	its	its	PRON
ejpam-520	61	25	special	special	ADJ
ejpam-520	61	26	cases	case	NOUN
ejpam-520	61	27	)	)	PUNCT
ejpam-520	61	28	various	various	ADJ
ejpam-520	61	29	other	other	ADJ
ejpam-520	61	30	linear	linear	PROPN
ejpam-520	61	31	operators	operator	NOUN
ejpam-520	61	32	introduced	introduce	VERB
ejpam-520	61	33	and	and	CCONJ
ejpam-520	61	34	studied	study	VERB
ejpam-520	61	35	by	by	ADP
ejpam-520	61	36	bernardi	bernardi	PROPN
ejpam-520	62	1	[	[	X
ejpam-520	62	2	1	1	NUM
ejpam-520	62	3	]	]	PUNCT
ejpam-520	62	4	,	,	PUNCT
ejpam-520	62	5	carlson	carlson	PROPN
ejpam-520	62	6	and	and	CCONJ
ejpam-520	62	7	shaffer	shaffer	VERB
ejpam-520	62	8	[	[	X
ejpam-520	62	9	2	2	NUM
ejpam-520	62	10	]	]	PUNCT
ejpam-520	62	11	,	,	PUNCT
ejpam-520	62	12	libera	libera	NOUN
ejpam-520	62	13	[	[	X
ejpam-520	62	14	6	6	NUM
ejpam-520	62	15	]	]	PUNCT
ejpam-520	62	16	,	,	PUNCT
ejpam-520	62	17	livingston	livingston	PROPN
ejpam-520	63	1	[	[	X
ejpam-520	63	2	7	7	NUM
ejpam-520	63	3	]	]	PUNCT
ejpam-520	63	4	,	,	PUNCT
ejpam-520	63	5	ruscheweyh	ruscheweyh	VERB
ejpam-520	64	1	[	[	X
ejpam-520	64	2	8	8	NUM
ejpam-520	64	3	]	]	PUNCT
ejpam-520	64	4	and	and	CCONJ
ejpam-520	64	5	srivastava	srivastava	PROPN
ejpam-520	64	6	-	-	PUNCT
ejpam-520	64	7	owa	owa	PROPN
ejpam-520	65	1	[	[	X
ejpam-520	65	2	9	9	NUM
ejpam-520	65	3	]	]	PUNCT
ejpam-520	65	4	.	.	PUNCT
ejpam-520	66	1	for	for	ADP
ejpam-520	66	2	0≤	0≤	NUM
ejpam-520	66	3	α	α	NOUN
ejpam-520	66	4	<	<	X
ejpam-520	66	5	1	1	NUM
ejpam-520	66	6	and	and	CCONJ
ejpam-520	66	7	δ	δ	PROPN
ejpam-520	66	8	≥	≥	NUM
ejpam-520	66	9	0	0	NUM
ejpam-520	66	10	,	,	PUNCT
ejpam-520	66	11	let	let	VERB
ejpam-520	66	12	bl	bl	PROPN
ejpam-520	66	13	m(α	m(α	PROPN
ejpam-520	66	14	,	,	PUNCT
ejpam-520	66	15	δ	δ	PROPN
ejpam-520	66	16	)	)	PUNCT
ejpam-520	66	17	consisting	consist	VERB
ejpam-520	66	18	of	of	ADP
ejpam-520	66	19	functions	function	NOUN
ejpam-520	66	20	of	of	ADP
ejpam-520	66	21	the	the	DET
ejpam-520	66	22	form	form	NOUN
ejpam-520	66	23	(	(	PUNCT
ejpam-520	66	24	1	1	NUM
ejpam-520	66	25	)	)	PUNCT
ejpam-520	66	26	and	and	CCONJ
ejpam-520	66	27	satisfying	satisfy	VERB
ejpam-520	66	28	the	the	DET
ejpam-520	66	29	condition	condition	NOUN
ejpam-520	66	30	�	�	PROPN
ejpam-520	66	31	�	�	PROPN
ejpam-520	66	32	�	�	PROPN
ejpam-520	66	33	�	�	PROPN
ejpam-520	66	34	�	�	PROPN
ejpam-520	66	35	h	h	NOUN
ejpam-520	66	36	l	l	NOUN
ejpam-520	66	37	m[α1	m[α1	NOUN
ejpam-520	67	1	+	+	NOUN
ejpam-520	67	2	1	1	X
ejpam-520	67	3	]	]	SYM
ejpam-520	67	4	f	f	X
ejpam-520	67	5	(	(	PUNCT
ejpam-520	67	6	z	z	NOUN
ejpam-520	67	7	)	)	PUNCT
ejpam-520	67	8	z	z	NOUN
ejpam-520	67	9	�	�	PROPN
ejpam-520	67	10	z	z	NOUN
ejpam-520	67	11	h	h	NOUN
ejpam-520	68	1	l	l	NOUN
ejpam-520	68	2	m[α1	m[α1	X
ejpam-520	68	3	]	]	X
ejpam-520	68	4	f	f	X
ejpam-520	68	5	(	(	PUNCT
ejpam-520	68	6	z	z	NOUN
ejpam-520	68	7	)	)	PUNCT
ejpam-520	68	8	�	�	PROPN
ejpam-520	68	9	δ	δ	PROPN
ejpam-520	68	10	−	−	PROPN
ejpam-520	68	11	1	1	NUM
ejpam-520	68	12	�	�	PROPN
ejpam-520	68	13	�	�	PROPN
ejpam-520	68	14	�	�	PROPN
ejpam-520	68	15	�	�	PROPN
ejpam-520	68	16	�	�	PROPN
ejpam-520	68	17	<	<	X
ejpam-520	68	18	1−α	1−α	NUM
ejpam-520	68	19	,	,	PUNCT
ejpam-520	68	20	z	z	PROPN
ejpam-520	68	21	∈	∈	PROPN
ejpam-520	68	22	u	u	NOUN
ejpam-520	68	23	.	.	PUNCT
ejpam-520	69	1	(	(	PUNCT
ejpam-520	69	2	7	7	X
ejpam-520	69	3	)	)	PUNCT
ejpam-520	69	4	g.	g.	NOUN
ejpam-520	69	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-520	69	6	and	and	CCONJ
ejpam-520	69	7	n.	n.	PROPN
ejpam-520	69	8	magesh	magesh	PROPN
ejpam-520	69	9	/	/	SYM
ejpam-520	69	10	eur	eur	PROPN
ejpam-520	69	11	.	.	PUNCT
ejpam-520	70	1	j.	j.	PROPN
ejpam-520	70	2	pure	pure	PROPN
ejpam-520	70	3	appl	appl	PROPN
ejpam-520	70	4	.	.	PROPN
ejpam-520	70	5	math	math	PROPN
ejpam-520	70	6	,	,	PUNCT
ejpam-520	70	7	4	4	NUM
ejpam-520	70	8	(	(	PUNCT
ejpam-520	70	9	2011	2011	NUM
ejpam-520	70	10	)	)	PUNCT
ejpam-520	70	11	,	,	PUNCT
ejpam-520	70	12	76	76	NUM
ejpam-520	70	13	-	-	SYM
ejpam-520	70	14	82	82	NUM
ejpam-520	70	15	78	78	NUM
ejpam-520	70	16	the	the	DET
ejpam-520	70	17	class	class	NOUN
ejpam-520	70	18	bl	bl	PROPN
ejpam-520	70	19	m(α	m(α	PROPN
ejpam-520	70	20	,	,	PUNCT
ejpam-520	70	21	δ	δ	PROPN
ejpam-520	70	22	)	)	PUNCT
ejpam-520	70	23	is	be	AUX
ejpam-520	70	24	a	a	DET
ejpam-520	70	25	unified	unified	ADJ
ejpam-520	70	26	class	class	NOUN
ejpam-520	70	27	of	of	ADP
ejpam-520	70	28	analytic	analytic	ADJ
ejpam-520	70	29	functions	function	NOUN
ejpam-520	70	30	which	which	PRON
ejpam-520	70	31	includes	include	VERB
ejpam-520	70	32	various	various	ADJ
ejpam-520	70	33	new	new	ADJ
ejpam-520	70	34	subclasses	subclass	NOUN
ejpam-520	70	35	of	of	ADP
ejpam-520	70	36	analytic	analytic	ADJ
ejpam-520	70	37	univalent	univalent	ADJ
ejpam-520	70	38	functions	function	NOUN
ejpam-520	70	39	.	.	PUNCT
ejpam-520	71	1	we	we	PRON
ejpam-520	71	2	observe	observe	VERB
ejpam-520	71	3	that	that	DET
ejpam-520	71	4	example	example	NOUN
ejpam-520	72	1	1	1	X
ejpam-520	72	2	.	.	PUNCT
ejpam-520	73	1	if	if	SCONJ
ejpam-520	73	2	l	l	NOUN
ejpam-520	73	3	=	=	SYM
ejpam-520	73	4	2	2	NUM
ejpam-520	73	5	and	and	CCONJ
ejpam-520	73	6	m=	m=	X
ejpam-520	73	7	1	1	NUM
ejpam-520	73	8	with	with	ADP
ejpam-520	73	9	α1	α1	PROPN
ejpam-520	73	10	=	=	SYM
ejpam-520	73	11	1	1	NUM
ejpam-520	73	12	,	,	PUNCT
ejpam-520	73	13	α2	α2	NOUN
ejpam-520	73	14	=	=	SYM
ejpam-520	73	15	1	1	NUM
ejpam-520	73	16	,	,	PUNCT
ejpam-520	73	17	β1	β1	PROPN
ejpam-520	73	18	=	=	SYM
ejpam-520	73	19	1	1	NUM
ejpam-520	73	20	then	then	ADV
ejpam-520	73	21	b2	b2	NOUN
ejpam-520	73	22	1(α	1(α	NUM
ejpam-520	73	23	,	,	PUNCT
ejpam-520	73	24	δ	δ	PROPN
ejpam-520	73	25	)	)	PUNCT
ejpam-520	73	26	:	:	PUNCT
ejpam-520	74	1	=	=	SYM
ejpam-520	74	2	(	(	PUNCT
ejpam-520	74	3	f	f	PROPN
ejpam-520	74	4	∈a	∈a	PROPN
ejpam-520	74	5	:	:	PUNCT
ejpam-520	74	6	�	�	PROPN
ejpam-520	74	7	�	�	PROPN
ejpam-520	74	8	�	�	PROPN
ejpam-520	74	9	�	�	PROPN
ejpam-520	74	10	�	�	PROPN
ejpam-520	74	11	f	f	PROPN
ejpam-520	74	12	′(z	′(z	NOUN
ejpam-520	74	13	)	)	PUNCT
ejpam-520	74	14	�	�	PROPN
ejpam-520	74	15	z	z	PROPN
ejpam-520	74	16	f	f	PROPN
ejpam-520	74	17	(	(	PUNCT
ejpam-520	74	18	z	z	NOUN
ejpam-520	74	19	)	)	PUNCT
ejpam-520	74	20	�	�	PROPN
ejpam-520	74	21	δ	δ	PROPN
ejpam-520	74	22	−	−	PROPN
ejpam-520	74	23	1	1	NUM
ejpam-520	74	24	�	�	PROPN
ejpam-520	74	25	�	�	PROPN
ejpam-520	74	26	�	�	PROPN
ejpam-520	74	27	�	�	PROPN
ejpam-520	74	28	�	�	PROPN
ejpam-520	74	29	<	<	X
ejpam-520	74	30	1−α	1−α	NUM
ejpam-520	74	31	,	,	PUNCT
ejpam-520	74	32	δ	δ	PROPN
ejpam-520	74	33	≥	≥	NOUN
ejpam-520	74	34	0	0	NUM
ejpam-520	74	35	,	,	PUNCT
ejpam-520	74	36	0≤	0≤	NUM
ejpam-520	74	37	α	α	NOUN
ejpam-520	74	38	<	<	X
ejpam-520	74	39	1	1	NUM
ejpam-520	74	40	,	,	PUNCT
ejpam-520	74	41	z	z	PROPN
ejpam-520	74	42	∈	∈	PROPN
ejpam-520	74	43	u	u	PROPN
ejpam-520	74	44	.	.	PUNCT
ejpam-520	74	45	)	)	PUNCT
ejpam-520	75	1	the	the	DET
ejpam-520	75	2	class	class	NOUN
ejpam-520	75	3	b2	b2	NOUN
ejpam-520	75	4	1(α	1(α	NUM
ejpam-520	75	5	,	,	PUNCT
ejpam-520	75	6	δ	δ	PROPN
ejpam-520	75	7	)	)	PUNCT
ejpam-520	75	8	has	have	AUX
ejpam-520	75	9	been	be	AUX
ejpam-520	75	10	studied	study	VERB
ejpam-520	75	11	by	by	ADP
ejpam-520	75	12	frasin	frasin	NOUN
ejpam-520	75	13	and	and	CCONJ
ejpam-520	75	14	jahangiri	jahangiri	ADV
ejpam-520	75	15	[	[	X
ejpam-520	75	16	5	5	NUM
ejpam-520	75	17	]	]	PUNCT
ejpam-520	75	18	.	.	PUNCT
ejpam-520	76	1	further	further	ADJ
ejpam-520	76	2	b2	b2	NOUN
ejpam-520	76	3	1(α	1(α	NUM
ejpam-520	76	4	,	,	PUNCT
ejpam-520	76	5	2	2	NUM
ejpam-520	76	6	)	)	PUNCT
ejpam-520	76	7	has	have	AUX
ejpam-520	76	8	been	be	AUX
ejpam-520	76	9	studied	study	VERB
ejpam-520	76	10	by	by	ADP
ejpam-520	76	11	frasin	frasin	NOUN
ejpam-520	76	12	and	and	CCONJ
ejpam-520	76	13	darus	darus	NOUN
ejpam-520	76	14	[	[	X
ejpam-520	76	15	4	4	NUM
ejpam-520	76	16	]	]	PUNCT
ejpam-520	76	17	.	.	PUNCT
ejpam-520	77	1	also	also	ADV
ejpam-520	77	2	we	we	PRON
ejpam-520	77	3	note	note	VERB
ejpam-520	77	4	that	that	DET
ejpam-520	77	5	b2	b2	NOUN
ejpam-520	77	6	1(α	1(α	NUM
ejpam-520	77	7	,	,	PUNCT
ejpam-520	77	8	1)≡	1)≡	NUM
ejpam-520	77	9	s∗(α	s∗(α	NOUN
ejpam-520	77	10	)	)	PUNCT
ejpam-520	77	11	and	and	CCONJ
ejpam-520	77	12	b2	b2	NOUN
ejpam-520	77	13	1(α	1(α	NUM
ejpam-520	77	14	,	,	PUNCT
ejpam-520	77	15	0)≡	0)≡	PROPN
ejpam-520	77	16	r(α	r(α	PROPN
ejpam-520	77	17	)	)	PUNCT
ejpam-520	77	18	.	.	PUNCT
ejpam-520	78	1	example	example	NOUN
ejpam-520	79	1	2	2	NUM
ejpam-520	79	2	.	.	PUNCT
ejpam-520	80	1	if	if	SCONJ
ejpam-520	80	2	l	l	NOUN
ejpam-520	80	3	=	=	SYM
ejpam-520	80	4	2	2	NUM
ejpam-520	80	5	and	and	CCONJ
ejpam-520	80	6	m=	m=	X
ejpam-520	80	7	1	1	NUM
ejpam-520	80	8	with	with	ADP
ejpam-520	80	9	α1	α1	PROPN
ejpam-520	80	10	=	=	SYM
ejpam-520	80	11	η+	η+	X
ejpam-520	80	12	1	1	NUM
ejpam-520	80	13	(	(	PUNCT
ejpam-520	80	14	η	η	X
ejpam-520	80	15	>	>	X
ejpam-520	80	16	−1	−1	NOUN
ejpam-520	80	17	)	)	PUNCT
ejpam-520	80	18	,	,	PUNCT
ejpam-520	80	19	α2	α2	PROPN
ejpam-520	80	20	=	=	SYM
ejpam-520	80	21	1	1	NUM
ejpam-520	80	22	,	,	PUNCT
ejpam-520	80	23	β1	β1	PROPN
ejpam-520	80	24	=	=	SYM
ejpam-520	80	25	1	1	NUM
ejpam-520	80	26	,	,	PUNCT
ejpam-520	80	27	then	then	ADV
ejpam-520	80	28	b(η	b(η	PROPN
ejpam-520	80	29	,	,	PUNCT
ejpam-520	80	30	α	α	NOUN
ejpam-520	80	31	,	,	PUNCT
ejpam-520	80	32	δ	δ	PROPN
ejpam-520	80	33	)	)	PUNCT
ejpam-520	81	1	:	:	PUNCT
ejpam-520	81	2	=	=	SYM
ejpam-520	81	3	(	(	PUNCT
ejpam-520	81	4	f	f	PROPN
ejpam-520	81	5	∈a	∈a	PROPN
ejpam-520	81	6	:	:	PUNCT
ejpam-520	81	7	�	�	PROPN
ejpam-520	81	8	�	�	PROPN
ejpam-520	81	9	�	�	PROPN
ejpam-520	81	10	�	�	PROPN
ejpam-520	81	11	�	�	PROPN
ejpam-520	81	12	dη+1	dη+1	PROPN
ejpam-520	81	13	f	f	PROPN
ejpam-520	81	14	(	(	PUNCT
ejpam-520	81	15	z	z	NOUN
ejpam-520	81	16	)	)	PUNCT
ejpam-520	82	1	z	z	NOUN
ejpam-520	82	2	�	�	PROPN
ejpam-520	82	3	z	z	PROPN
ejpam-520	82	4	dη	dη	NOUN
ejpam-520	82	5	f	f	PROPN
ejpam-520	82	6	(	(	PUNCT
ejpam-520	82	7	z	z	NOUN
ejpam-520	82	8	)	)	PUNCT
ejpam-520	82	9	�	�	PROPN
ejpam-520	82	10	δ	δ	PROPN
ejpam-520	82	11	−	−	PROPN
ejpam-520	82	12	1	1	NUM
ejpam-520	82	13	�	�	PROPN
ejpam-520	82	14	�	�	PROPN
ejpam-520	82	15	�	�	PROPN
ejpam-520	82	16	�	�	PROPN
ejpam-520	82	17	�	�	PROPN
ejpam-520	82	18	<	<	X
ejpam-520	82	19	1−α	1−α	PROPN
ejpam-520	82	20	,	,	PUNCT
ejpam-520	82	21	η	η	PROPN
ejpam-520	82	22	>	>	X
ejpam-520	82	23	−1	−1	PROPN
ejpam-520	82	24	,	,	PUNCT
ejpam-520	82	25	δ	δ	PROPN
ejpam-520	82	26	≥	≥	NOUN
ejpam-520	82	27	0	0	NUM
ejpam-520	82	28	,	,	PUNCT
ejpam-520	82	29	0≤	0≤	NUM
ejpam-520	82	30	α	α	NOUN
ejpam-520	82	31	<	<	X
ejpam-520	82	32	1	1	NUM
ejpam-520	82	33	,	,	PUNCT
ejpam-520	82	34	z	z	PROPN
ejpam-520	82	35	∈	∈	PROPN
ejpam-520	82	36	u	u	NOUN
ejpam-520	82	37	.	.	PUNCT
ejpam-520	82	38	)	)	PUNCT
ejpam-520	82	39	,	,	PUNCT
ejpam-520	82	40	where	where	SCONJ
ejpam-520	82	41	dη	dη	ADP
ejpam-520	82	42	f	f	X
ejpam-520	82	43	(	(	PUNCT
ejpam-520	82	44	z	z	NOUN
ejpam-520	82	45	)	)	PUNCT
ejpam-520	82	46	is	be	AUX
ejpam-520	82	47	called	call	VERB
ejpam-520	82	48	ruscheweyh	ruscheweyh	NOUN
ejpam-520	82	49	derivative	derivative	ADJ
ejpam-520	82	50	operator	operator	NOUN
ejpam-520	83	1	[	[	X
ejpam-520	83	2	8	8	NUM
ejpam-520	83	3	]	]	PUNCT
ejpam-520	83	4	defined	define	VERB
ejpam-520	83	5	by	by	ADP
ejpam-520	83	6	dη	dη	X
ejpam-520	83	7	f	f	PROPN
ejpam-520	83	8	(	(	PUNCT
ejpam-520	83	9	z	z	NOUN
ejpam-520	83	10	)	)	PUNCT
ejpam-520	83	11	:	:	PUNCT
ejpam-520	83	12	=	=	SYM
ejpam-520	83	13	z	z	X
ejpam-520	83	14	(	(	PUNCT
ejpam-520	83	15	1−	1−	NUM
ejpam-520	83	16	z)η+1	z)η+1	PROPN
ejpam-520	83	17	∗	∗	NOUN
ejpam-520	83	18	f	f	PROPN
ejpam-520	83	19	(	(	PUNCT
ejpam-520	83	20	z	z	NOUN
ejpam-520	83	21	)	)	PUNCT
ejpam-520	83	22	≡	≡	PROPN
ejpam-520	83	23	h2	h2	PROPN
ejpam-520	83	24	1(η+	1(η+	NUM
ejpam-520	83	25	1,1	1,1	NUM
ejpam-520	83	26	;	;	PUNCT
ejpam-520	83	27	1	1	X
ejpam-520	83	28	)	)	PUNCT
ejpam-520	83	29	f	f	NOUN
ejpam-520	83	30	(	(	PUNCT
ejpam-520	83	31	z	z	NOUN
ejpam-520	83	32	)	)	PUNCT
ejpam-520	83	33	.	.	PUNCT
ejpam-520	84	1	also	also	ADV
ejpam-520	84	2	we	we	PRON
ejpam-520	84	3	observe	observe	VERB
ejpam-520	84	4	that	that	SCONJ
ejpam-520	84	5	b(0,α	b(0,α	ADJ
ejpam-520	84	6	,	,	PUNCT
ejpam-520	84	7	1	1	NUM
ejpam-520	84	8	)	)	PUNCT
ejpam-520	84	9	≡	≡	PROPN
ejpam-520	84	10	k(α	k(α	PROPN
ejpam-520	84	11	)	)	PUNCT
ejpam-520	84	12	.	.	PUNCT
ejpam-520	85	1	example	example	NOUN
ejpam-520	86	1	3	3	X
ejpam-520	86	2	.	.	PUNCT
ejpam-520	87	1	if	if	SCONJ
ejpam-520	87	2	l	l	NOUN
ejpam-520	87	3	=	=	SYM
ejpam-520	87	4	2	2	NUM
ejpam-520	87	5	and	and	CCONJ
ejpam-520	87	6	m=	m=	X
ejpam-520	87	7	1	1	NUM
ejpam-520	87	8	with	with	ADP
ejpam-520	87	9	α1	α1	PROPN
ejpam-520	87	10	=	=	SYM
ejpam-520	87	11	µ+	µ+	X
ejpam-520	87	12	1(µ	1(µ	NUM
ejpam-520	87	13	>	>	PUNCT
ejpam-520	87	14	−1	−1	NOUN
ejpam-520	87	15	)	)	PUNCT
ejpam-520	87	16	,	,	PUNCT
ejpam-520	87	17	α2	α2	PROPN
ejpam-520	87	18	=	=	SYM
ejpam-520	87	19	1	1	NUM
ejpam-520	87	20	,	,	PUNCT
ejpam-520	87	21	β1	β1	PROPN
ejpam-520	87	22	=	=	PUNCT
ejpam-520	87	23	µ+	µ+	X
ejpam-520	87	24	2	2	NUM
ejpam-520	87	25	,	,	PUNCT
ejpam-520	87	26	then	then	ADV
ejpam-520	87	27	b(µ,α	b(µ,α	NOUN
ejpam-520	87	28	,	,	PUNCT
ejpam-520	87	29	δ	δ	PROPN
ejpam-520	87	30	)	)	PUNCT
ejpam-520	88	1	:	:	PUNCT
ejpam-520	88	2	=	=	SYM
ejpam-520	88	3	(	(	PUNCT
ejpam-520	88	4	f	f	PROPN
ejpam-520	88	5	∈a	∈a	PROPN
ejpam-520	88	6	:	:	PUNCT
ejpam-520	88	7	�	�	PROPN
ejpam-520	88	8	�	�	PROPN
ejpam-520	88	9	�	�	PROPN
ejpam-520	88	10	�	�	PROPN
ejpam-520	88	11	�	�	PROPN
ejpam-520	88	12	jµ+1	jµ+1	PROPN
ejpam-520	88	13	f	f	PROPN
ejpam-520	88	14	(	(	PUNCT
ejpam-520	88	15	z	z	NOUN
ejpam-520	88	16	)	)	PUNCT
ejpam-520	89	1	z	z	NOUN
ejpam-520	89	2	�	�	PROPN
ejpam-520	89	3	z	z	PROPN
ejpam-520	89	4	jµ	jµ	PROPN
ejpam-520	90	1	f	f	X
ejpam-520	90	2	(	(	PUNCT
ejpam-520	90	3	z	z	NOUN
ejpam-520	90	4	)	)	PUNCT
ejpam-520	90	5	�	�	PROPN
ejpam-520	90	6	δ	δ	PROPN
ejpam-520	90	7	−	−	PROPN
ejpam-520	90	8	1	1	NUM
ejpam-520	90	9	�	�	PROPN
ejpam-520	90	10	�	�	PROPN
ejpam-520	90	11	�	�	PROPN
ejpam-520	90	12	�	�	PROPN
ejpam-520	90	13	�	�	PROPN
ejpam-520	90	14	<	<	X
ejpam-520	90	15	1−α	1−α	NUM
ejpam-520	90	16	,	,	PUNCT
ejpam-520	90	17	µ	µ	X
ejpam-520	90	18	>	>	X
ejpam-520	90	19	−1	−1	NOUN
ejpam-520	90	20	,	,	PUNCT
ejpam-520	90	21	δ	δ	PROPN
ejpam-520	90	22	≥	≥	NOUN
ejpam-520	90	23	0	0	NUM
ejpam-520	90	24	,	,	PUNCT
ejpam-520	90	25	0≤	0≤	NUM
ejpam-520	90	26	α	α	NOUN
ejpam-520	90	27	<	<	X
ejpam-520	90	28	1	1	NUM
ejpam-520	90	29	,	,	PUNCT
ejpam-520	90	30	z	z	PROPN
ejpam-520	90	31	∈	∈	PROPN
ejpam-520	90	32	u	u	PROPN
ejpam-520	90	33	)	)	PUNCT
ejpam-520	90	34	,	,	PUNCT
ejpam-520	90	35	where	where	SCONJ
ejpam-520	90	36	jµ	jµ	PROPN
ejpam-520	90	37	is	be	AUX
ejpam-520	90	38	a	a	DET
ejpam-520	90	39	bernardi	bernardi	PROPN
ejpam-520	90	40	operator	operator	NOUN
ejpam-520	91	1	[	[	X
ejpam-520	91	2	1	1	X
ejpam-520	91	3	]	]	PUNCT
ejpam-520	91	4	defined	define	VERB
ejpam-520	91	5	by	by	ADP
ejpam-520	91	6	jµ	jµ	PROPN
ejpam-520	91	7	f	f	PROPN
ejpam-520	91	8	(	(	PUNCT
ejpam-520	91	9	z	z	NOUN
ejpam-520	91	10	)	)	PUNCT
ejpam-520	91	11	:	:	PUNCT
ejpam-520	91	12	=	=	SYM
ejpam-520	91	13	µ+	µ+	PUNCT
ejpam-520	91	14	1	1	NUM
ejpam-520	91	15	zµ	zµ	NOUN
ejpam-520	91	16	∫	∫	PROPN
ejpam-520	91	17	z	z	PROPN
ejpam-520	91	18	0	0	NUM
ejpam-520	92	1	tµ−1	tµ−1	VERB
ejpam-520	92	2	f	f	PROPN
ejpam-520	92	3	(	(	PUNCT
ejpam-520	92	4	t)d	t)d	PROPN
ejpam-520	92	5	t	t	PROPN
ejpam-520	92	6	≡	≡	PROPN
ejpam-520	92	7	h2	h2	PROPN
ejpam-520	92	8	1(µ+	1(µ+	NUM
ejpam-520	93	1	1,1;µ+	1,1;µ+	NUM
ejpam-520	93	2	2	2	NUM
ejpam-520	93	3	)	)	PUNCT
ejpam-520	93	4	f	f	NOUN
ejpam-520	93	5	(	(	PUNCT
ejpam-520	93	6	z	z	NOUN
ejpam-520	93	7	)	)	PUNCT
ejpam-520	93	8	.	.	PUNCT
ejpam-520	94	1	note	note	VERB
ejpam-520	94	2	that	that	SCONJ
ejpam-520	94	3	the	the	DET
ejpam-520	94	4	operator	operator	NOUN
ejpam-520	94	5	j1	j1	PROPN
ejpam-520	94	6	was	be	AUX
ejpam-520	94	7	studied	study	VERB
ejpam-520	94	8	earlier	early	ADV
ejpam-520	94	9	by	by	ADP
ejpam-520	94	10	libera	libera	NOUN
ejpam-520	95	1	[	[	X
ejpam-520	95	2	6	6	NUM
ejpam-520	95	3	]	]	PUNCT
ejpam-520	95	4	and	and	CCONJ
ejpam-520	95	5	livingston	livingston	PROPN
ejpam-520	96	1	[	[	X
ejpam-520	96	2	7	7	NUM
ejpam-520	96	3	]	]	PUNCT
ejpam-520	96	4	.	.	PUNCT
ejpam-520	97	1	example	example	NOUN
ejpam-520	98	1	4	4	NUM
ejpam-520	98	2	.	.	PUNCT
ejpam-520	99	1	if	if	SCONJ
ejpam-520	99	2	l	l	NOUN
ejpam-520	99	3	=	=	SYM
ejpam-520	99	4	2	2	NUM
ejpam-520	99	5	and	and	CCONJ
ejpam-520	99	6	m=	m=	X
ejpam-520	99	7	1	1	NUM
ejpam-520	99	8	with	with	ADP
ejpam-520	99	9	α1	α1	PROPN
ejpam-520	99	10	=	=	PUNCT
ejpam-520	99	11	a	a	X
ejpam-520	99	12	(	(	PUNCT
ejpam-520	99	13	a	a	DET
ejpam-520	99	14	>	>	X
ejpam-520	99	15	0	0	NUM
ejpam-520	99	16	)	)	PUNCT
ejpam-520	99	17	,	,	PUNCT
ejpam-520	100	1	α2	α2	PROPN
ejpam-520	100	2	=	=	SYM
ejpam-520	100	3	1	1	NUM
ejpam-520	100	4	,	,	PUNCT
ejpam-520	100	5	β1	β1	PROPN
ejpam-520	100	6	=	=	PUNCT
ejpam-520	100	7	c	c	X
ejpam-520	100	8	(	(	PUNCT
ejpam-520	100	9	c	c	NOUN
ejpam-520	100	10	>	>	X
ejpam-520	100	11	0	0	NUM
ejpam-520	100	12	)	)	PUNCT
ejpam-520	100	13	,	,	PUNCT
ejpam-520	100	14	then	then	ADV
ejpam-520	100	15	b(a	b(a	NOUN
ejpam-520	100	16	,	,	PUNCT
ejpam-520	100	17	c	c	X
ejpam-520	100	18	,	,	PUNCT
ejpam-520	100	19	α	α	NOUN
ejpam-520	100	20	,	,	PUNCT
ejpam-520	100	21	δ	δ	PROPN
ejpam-520	100	22	)	)	PUNCT
ejpam-520	100	23	:	:	PUNCT
ejpam-520	101	1	=	=	SYM
ejpam-520	101	2	(	(	PUNCT
ejpam-520	101	3	f	f	PROPN
ejpam-520	101	4	∈a	∈a	PROPN
ejpam-520	101	5	:	:	PUNCT
ejpam-520	101	6	�	�	PROPN
ejpam-520	101	7	�	�	PROPN
ejpam-520	101	8	�	�	PROPN
ejpam-520	101	9	�	�	PROPN
ejpam-520	101	10	�	�	PROPN
ejpam-520	101	11	l(a+	l(a+	PROPN
ejpam-520	101	12	1	1	NUM
ejpam-520	101	13	,	,	PUNCT
ejpam-520	101	14	c	c	NOUN
ejpam-520	101	15	)	)	PUNCT
ejpam-520	101	16	f	f	NOUN
ejpam-520	102	1	(	(	PUNCT
ejpam-520	102	2	z	z	NOUN
ejpam-520	102	3	)	)	PUNCT
ejpam-520	102	4	z	z	NOUN
ejpam-520	102	5	�	�	PROPN
ejpam-520	102	6	z	z	PROPN
ejpam-520	102	7	l(a	l(a	PROPN
ejpam-520	102	8	,	,	PUNCT
ejpam-520	102	9	c	c	NOUN
ejpam-520	102	10	)	)	PUNCT
ejpam-520	102	11	f	f	NOUN
ejpam-520	102	12	(	(	PUNCT
ejpam-520	102	13	z	z	NOUN
ejpam-520	102	14	)	)	PUNCT
ejpam-520	102	15	�	�	PROPN
ejpam-520	102	16	δ	δ	PROPN
ejpam-520	102	17	−	−	PROPN
ejpam-520	102	18	1	1	NUM
ejpam-520	102	19	�	�	PROPN
ejpam-520	102	20	�	�	PROPN
ejpam-520	102	21	�	�	PROPN
ejpam-520	102	22	�	�	PROPN
ejpam-520	102	23	�	�	PROPN
ejpam-520	102	24	<	<	X
ejpam-520	102	25	1−α	1−α	NUM
ejpam-520	102	26	,	,	PUNCT
ejpam-520	102	27	δ	δ	PROPN
ejpam-520	102	28	≥	≥	NOUN
ejpam-520	102	29	0	0	NUM
ejpam-520	102	30	,	,	PUNCT
ejpam-520	102	31	0≤	0≤	NUM
ejpam-520	102	32	α	α	NOUN
ejpam-520	102	33	<	<	X
ejpam-520	102	34	1	1	NUM
ejpam-520	102	35	,	,	PUNCT
ejpam-520	102	36	z	z	PROPN
ejpam-520	102	37	∈	∈	PROPN
ejpam-520	102	38	u	u	PROPN
ejpam-520	102	39	)	)	PUNCT
ejpam-520	102	40	,	,	PUNCT
ejpam-520	102	41	where	where	SCONJ
ejpam-520	102	42	l(a	l(a	PROPN
ejpam-520	102	43	,	,	PUNCT
ejpam-520	102	44	c	c	NOUN
ejpam-520	102	45	)	)	PUNCT
ejpam-520	102	46	is	be	AUX
ejpam-520	102	47	a	a	DET
ejpam-520	102	48	well	well	ADV
ejpam-520	102	49	-	-	PUNCT
ejpam-520	102	50	known	know	VERB
ejpam-520	102	51	carlson	carlson	NOUN
ejpam-520	102	52	-	-	PUNCT
ejpam-520	102	53	shaffer	shaffer	PROPN
ejpam-520	102	54	linear	linear	NOUN
ejpam-520	102	55	operator	operator	NOUN
ejpam-520	103	1	[	[	X
ejpam-520	103	2	2	2	NUM
ejpam-520	103	3	]	]	PUNCT
ejpam-520	103	4	defined	define	VERB
ejpam-520	103	5	by	by	ADP
ejpam-520	103	6	l(a	l(a	PROPN
ejpam-520	103	7	,	,	PUNCT
ejpam-520	103	8	c	c	NOUN
ejpam-520	103	9	)	)	PUNCT
ejpam-520	103	10	f	f	NOUN
ejpam-520	103	11	(	(	PUNCT
ejpam-520	103	12	z	z	NOUN
ejpam-520	103	13	)	)	PUNCT
ejpam-520	103	14	:	:	PUNCT
ejpam-520	104	1	=	=	SYM
ejpam-520	104	2	∞	∞	NUM
ejpam-520	104	3	∑	∑	PUNCT
ejpam-520	104	4	k=0	k=0	X
ejpam-520	104	5	(	(	PUNCT
ejpam-520	104	6	a)k	a)k	ADJ
ejpam-520	104	7	(	(	PUNCT
ejpam-520	104	8	c)k	c)k	X
ejpam-520	104	9	zk+1	zk+1	NUM
ejpam-520	104	10	!	!	PUNCT
ejpam-520	105	1	∗	∗	NOUN
ejpam-520	105	2	f	f	PROPN
ejpam-520	105	3	(	(	PUNCT
ejpam-520	105	4	z	z	NOUN
ejpam-520	105	5	)	)	PUNCT
ejpam-520	105	6	≡	≡	PROPN
ejpam-520	105	7	h2	h2	PROPN
ejpam-520	105	8	1(a	1(a	NUM
ejpam-520	105	9	,	,	PUNCT
ejpam-520	105	10	1	1	NUM
ejpam-520	105	11	;	;	PUNCT
ejpam-520	105	12	c	c	X
ejpam-520	105	13	)	)	PUNCT
ejpam-520	105	14	f	f	NOUN
ejpam-520	105	15	(	(	PUNCT
ejpam-520	105	16	z	z	NOUN
ejpam-520	105	17	)	)	PUNCT
ejpam-520	105	18	.	.	PUNCT
ejpam-520	106	1	the	the	DET
ejpam-520	106	2	object	object	NOUN
ejpam-520	106	3	of	of	ADP
ejpam-520	106	4	the	the	DET
ejpam-520	106	5	present	present	ADJ
ejpam-520	106	6	paper	paper	NOUN
ejpam-520	106	7	is	be	AUX
ejpam-520	106	8	to	to	PART
ejpam-520	106	9	investigate	investigate	VERB
ejpam-520	106	10	the	the	DET
ejpam-520	106	11	sufficient	sufficient	ADJ
ejpam-520	106	12	condition	condition	NOUN
ejpam-520	106	13	for	for	SCONJ
ejpam-520	106	14	functions	function	NOUN
ejpam-520	106	15	to	to	PART
ejpam-520	106	16	be	be	AUX
ejpam-520	106	17	in	in	ADP
ejpam-520	106	18	the	the	DET
ejpam-520	106	19	class	class	NOUN
ejpam-520	106	20	bl	bl	PROPN
ejpam-520	106	21	m(α	m(α	PROPN
ejpam-520	106	22	,	,	PUNCT
ejpam-520	106	23	δ	δ	PROPN
ejpam-520	106	24	)	)	PUNCT
ejpam-520	106	25	.	.	PUNCT
ejpam-520	107	1	furthermore	furthermore	ADV
ejpam-520	107	2	,	,	PUNCT
ejpam-520	107	3	as	as	ADP
ejpam-520	107	4	a	a	DET
ejpam-520	107	5	special	special	ADJ
ejpam-520	107	6	case	case	NOUN
ejpam-520	107	7	,	,	PUNCT
ejpam-520	107	8	we	we	PRON
ejpam-520	107	9	show	show	VERB
ejpam-520	107	10	that	that	SCONJ
ejpam-520	107	11	convex	convex	NOUN
ejpam-520	107	12	functions	function	NOUN
ejpam-520	107	13	of	of	ADP
ejpam-520	107	14	order	order	NOUN
ejpam-520	107	15	1/2	1/2	NUM
ejpam-520	107	16	are	be	AUX
ejpam-520	107	17	also	also	ADV
ejpam-520	107	18	members	member	NOUN
ejpam-520	107	19	of	of	ADP
ejpam-520	107	20	the	the	DET
ejpam-520	107	21	family	family	NOUN
ejpam-520	107	22	bl	bl	PROPN
ejpam-520	107	23	m(α	m(α	PROPN
ejpam-520	107	24	,	,	PUNCT
ejpam-520	107	25	δ	δ	PROPN
ejpam-520	107	26	)	)	PUNCT
ejpam-520	107	27	.	.	PUNCT
ejpam-520	108	1	g.	g.	PROPN
ejpam-520	108	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-520	108	3	and	and	CCONJ
ejpam-520	108	4	n.	n.	PROPN
ejpam-520	108	5	magesh	magesh	PROPN
ejpam-520	108	6	/	/	SYM
ejpam-520	108	7	eur	eur	PROPN
ejpam-520	108	8	.	.	PUNCT
ejpam-520	109	1	j.	j.	PROPN
ejpam-520	109	2	pure	pure	PROPN
ejpam-520	109	3	appl	appl	PROPN
ejpam-520	109	4	.	.	PROPN
ejpam-520	109	5	math	math	PROPN
ejpam-520	109	6	,	,	PUNCT
ejpam-520	109	7	4	4	NUM
ejpam-520	109	8	(	(	PUNCT
ejpam-520	109	9	2011	2011	NUM
ejpam-520	109	10	)	)	PUNCT
ejpam-520	109	11	,	,	PUNCT
ejpam-520	109	12	76	76	NUM
ejpam-520	109	13	-	-	SYM
ejpam-520	109	14	82	82	NUM
ejpam-520	109	15	79	79	NUM
ejpam-520	109	16	2	2	NUM
ejpam-520	109	17	.	.	PUNCT
ejpam-520	109	18	main	main	ADJ
ejpam-520	109	19	results	result	NOUN
ejpam-520	109	20	to	to	PART
ejpam-520	109	21	prove	prove	VERB
ejpam-520	109	22	our	our	PRON
ejpam-520	109	23	results	result	NOUN
ejpam-520	109	24	we	we	PRON
ejpam-520	109	25	need	need	VERB
ejpam-520	109	26	the	the	DET
ejpam-520	109	27	following	follow	VERB
ejpam-520	109	28	lemma	lemma	PROPN
ejpam-520	109	29	.	.	PUNCT
ejpam-520	110	1	lemma	lemma	PROPN
ejpam-520	110	2	1	1	NUM
ejpam-520	110	3	.	.	PUNCT
ejpam-520	111	1	[	[	X
ejpam-520	111	2	5	5	X
ejpam-520	111	3	]	]	PUNCT
ejpam-520	111	4	let	let	VERB
ejpam-520	111	5	p	p	PRON
ejpam-520	111	6	be	be	AUX
ejpam-520	111	7	analytic	analytic	ADJ
ejpam-520	111	8	in	in	ADP
ejpam-520	111	9	u	u	NOUN
ejpam-520	111	10	with	with	ADP
ejpam-520	111	11	p(0	p(0	PROPN
ejpam-520	111	12	)	)	PUNCT
ejpam-520	111	13	=	=	SYM
ejpam-520	111	14	1	1	NUM
ejpam-520	111	15	and	and	CCONJ
ejpam-520	111	16	suppose	suppose	VERB
ejpam-520	111	17	that	that	SCONJ
ejpam-520	111	18	re	re	VERB
ejpam-520	111	19	�	�	PROPN
ejpam-520	111	20	1	1	NUM
ejpam-520	111	21	+	+	NUM
ejpam-520	111	22	zp′(z	zp′(z	NOUN
ejpam-520	111	23	)	)	PUNCT
ejpam-520	111	24	p(z	p(z	NOUN
ejpam-520	111	25	)	)	PUNCT
ejpam-520	111	26	�	�	PROPN
ejpam-520	111	27	>	>	X
ejpam-520	111	28	3α−	3α−	PROPN
ejpam-520	111	29	1	1	NUM
ejpam-520	111	30	2α	2α	NOUN
ejpam-520	111	31	.	.	PUNCT
ejpam-520	112	1	(	(	PUNCT
ejpam-520	112	2	8)	8)	NUM
ejpam-520	112	3	then	then	ADV
ejpam-520	112	4	re	re	VERB
ejpam-520	112	5	{	{	PUNCT
ejpam-520	112	6	p(z	p(z	NOUN
ejpam-520	112	7	)	)	PUNCT
ejpam-520	112	8	}	}	PUNCT
ejpam-520	112	9	>	>	X
ejpam-520	112	10	α	α	PROPN
ejpam-520	112	11	for	for	ADP
ejpam-520	112	12	z	z	PROPN
ejpam-520	112	13	∈	∈	PROPN
ejpam-520	112	14	u	u	NOUN
ejpam-520	112	15	and	and	CCONJ
ejpam-520	112	16	1	1	NUM
ejpam-520	112	17	2	2	NUM
ejpam-520	112	18	≤	≤	NUM
ejpam-520	113	1	α	α	NOUN
ejpam-520	113	2	<	<	X
ejpam-520	113	3	1	1	NUM
ejpam-520	113	4	.	.	PUNCT
ejpam-520	113	5	using	use	VERB
ejpam-520	113	6	lemma	lemma	PROPN
ejpam-520	113	7	1	1	NUM
ejpam-520	113	8	,	,	PUNCT
ejpam-520	113	9	we	we	PRON
ejpam-520	113	10	first	first	ADV
ejpam-520	113	11	prove	prove	VERB
ejpam-520	113	12	the	the	DET
ejpam-520	113	13	following	follow	VERB
ejpam-520	113	14	theorem	theorem	VERB
ejpam-520	113	15	.	.	PUNCT
ejpam-520	113	16	theorem	theorem	NOUN
ejpam-520	113	17	1	1	NUM
ejpam-520	113	18	.	.	PUNCT
ejpam-520	114	1	let	let	VERB
ejpam-520	114	2	f	f	PROPN
ejpam-520	114	3	(	(	PUNCT
ejpam-520	114	4	z	z	NOUN
ejpam-520	114	5	)	)	PUNCT
ejpam-520	114	6	be	be	AUX
ejpam-520	114	7	the	the	DET
ejpam-520	114	8	functions	function	NOUN
ejpam-520	114	9	of	of	ADP
ejpam-520	114	10	the	the	DET
ejpam-520	114	11	form	form	NOUN
ejpam-520	114	12	(	(	PUNCT
ejpam-520	114	13	1	1	NUM
ejpam-520	114	14	)	)	PUNCT
ejpam-520	114	15	,	,	PUNCT
ejpam-520	115	1	δ	δ	PROPN
ejpam-520	115	2	≥	≥	NOUN
ejpam-520	115	3	0	0	NUM
ejpam-520	115	4	and	and	CCONJ
ejpam-520	115	5	1	1	NUM
ejpam-520	115	6	2	2	NUM
ejpam-520	115	7	≤	≤	NUM
ejpam-520	115	8	α	α	NOUN
ejpam-520	115	9	<	<	X
ejpam-520	115	10	1	1	NUM
ejpam-520	115	11	.	.	PUNCT
ejpam-520	116	1	if	if	SCONJ
ejpam-520	116	2	(	(	PUNCT
ejpam-520	116	3	α1	α1	PROPN
ejpam-520	116	4	+	+	CCONJ
ejpam-520	116	5	1	1	NUM
ejpam-520	116	6	)	)	PUNCT
ejpam-520	116	7	h	h	NOUN
ejpam-520	116	8	l	l	NOUN
ejpam-520	116	9	m[α1	m[α1	NOUN
ejpam-520	117	1	+	+	NOUN
ejpam-520	117	2	2	2	X
ejpam-520	117	3	]	]	SYM
ejpam-520	117	4	f	f	X
ejpam-520	117	5	(	(	PUNCT
ejpam-520	117	6	z	z	NOUN
ejpam-520	117	7	)	)	PUNCT
ejpam-520	117	8	h	h	NOUN
ejpam-520	117	9	l	l	NOUN
ejpam-520	117	10	m[α1	m[α1	NOUN
ejpam-520	118	1	+	+	NOUN
ejpam-520	118	2	1	1	X
ejpam-520	118	3	]	]	SYM
ejpam-520	118	4	f	f	X
ejpam-520	118	5	(	(	PUNCT
ejpam-520	118	6	z	z	NOUN
ejpam-520	118	7	)	)	PUNCT
ejpam-520	118	8	−δα1	−δα1	NOUN
ejpam-520	118	9	h	h	NOUN
ejpam-520	118	10	l	l	NOUN
ejpam-520	118	11	m[α1	m[α1	NOUN
ejpam-520	119	1	+	+	NOUN
ejpam-520	119	2	1	1	X
ejpam-520	119	3	]	]	SYM
ejpam-520	119	4	f	f	X
ejpam-520	119	5	(	(	PUNCT
ejpam-520	119	6	z	z	NOUN
ejpam-520	119	7	)	)	PUNCT
ejpam-520	119	8	h	h	NOUN
ejpam-520	120	1	l	l	NOUN
ejpam-520	120	2	m[α1	m[α1	X
ejpam-520	120	3	]	]	X
ejpam-520	120	4	f	f	X
ejpam-520	120	5	(	(	PUNCT
ejpam-520	120	6	z	z	NOUN
ejpam-520	120	7	)	)	PUNCT
ejpam-520	121	1	+	+	NOUN
ejpam-520	121	2	α1(δ−	α1(δ−	NUM
ejpam-520	121	3	1)≺	1)≺	NUM
ejpam-520	121	4	1	1	NUM
ejpam-520	121	5	+	+	NUM
ejpam-520	121	6	βz	βz	NUM
ejpam-520	121	7	,	,	PUNCT
ejpam-520	121	8	(	(	PUNCT
ejpam-520	121	9	9	9	X
ejpam-520	121	10	)	)	PUNCT
ejpam-520	122	1	where	where	SCONJ
ejpam-520	122	2	β	β	X
ejpam-520	122	3	=	=	SYM
ejpam-520	122	4	3α−1	3α−1	NUM
ejpam-520	122	5	2α	2α	NOUN
ejpam-520	122	6	,	,	PUNCT
ejpam-520	122	7	then	then	ADV
ejpam-520	122	8	f	f	X
ejpam-520	122	9	(	(	PUNCT
ejpam-520	122	10	z	z	NOUN
ejpam-520	122	11	)	)	PUNCT
ejpam-520	122	12	∈	∈	PROPN
ejpam-520	122	13	bl	bl	PROPN
ejpam-520	122	14	m(α	m(α	PROPN
ejpam-520	122	15	,	,	PUNCT
ejpam-520	122	16	δ	δ	PROPN
ejpam-520	122	17	)	)	PUNCT
ejpam-520	122	18	.	.	PUNCT
ejpam-520	123	1	proof	proof	NOUN
ejpam-520	123	2	.	.	PUNCT
ejpam-520	124	1	define	define	VERB
ejpam-520	124	2	the	the	DET
ejpam-520	124	3	function	function	NOUN
ejpam-520	124	4	p(z	p(z	NOUN
ejpam-520	124	5	)	)	PUNCT
ejpam-520	124	6	by	by	ADP
ejpam-520	124	7	p(z	p(z	NOUN
ejpam-520	124	8	)	)	PUNCT
ejpam-520	124	9	:	:	PUNCT
ejpam-520	125	1	=	=	PUNCT
ejpam-520	125	2	h	h	NOUN
ejpam-520	126	1	l	l	NOUN
ejpam-520	126	2	m[α1	m[α1	X
ejpam-520	127	1	+	+	NOUN
ejpam-520	127	2	1	1	X
ejpam-520	127	3	]	]	SYM
ejpam-520	127	4	f	f	X
ejpam-520	127	5	(	(	PUNCT
ejpam-520	127	6	z	z	NOUN
ejpam-520	127	7	)	)	PUNCT
ejpam-520	127	8	z	z	NOUN
ejpam-520	127	9	�	�	PROPN
ejpam-520	127	10	z	z	NOUN
ejpam-520	127	11	h	h	NOUN
ejpam-520	128	1	l	l	NOUN
ejpam-520	128	2	m[α1	m[α1	X
ejpam-520	128	3	]	]	X
ejpam-520	128	4	f	f	X
ejpam-520	128	5	(	(	PUNCT
ejpam-520	128	6	z	z	NOUN
ejpam-520	128	7	)	)	PUNCT
ejpam-520	128	8	�	�	PROPN
ejpam-520	128	9	δ	δ	PROPN
ejpam-520	128	10	(	(	PUNCT
ejpam-520	128	11	10	10	NUM
ejpam-520	128	12	)	)	PUNCT
ejpam-520	128	13	then	then	ADV
ejpam-520	128	14	the	the	DET
ejpam-520	128	15	function	function	NOUN
ejpam-520	128	16	p(z	p(z	NOUN
ejpam-520	128	17	)	)	PUNCT
ejpam-520	128	18	is	be	AUX
ejpam-520	128	19	analytic	analytic	ADJ
ejpam-520	128	20	in	in	ADP
ejpam-520	128	21	u	u	NOUN
ejpam-520	128	22	and	and	CCONJ
ejpam-520	128	23	p(0	p(0	PROPN
ejpam-520	128	24	)	)	PUNCT
ejpam-520	128	25	=	=	SYM
ejpam-520	129	1	1	1	X
ejpam-520	129	2	.	.	PUNCT
ejpam-520	129	3	therefore	therefore	ADV
ejpam-520	129	4	,	,	PUNCT
ejpam-520	129	5	differentiating	differentiate	VERB
ejpam-520	129	6	(	(	PUNCT
ejpam-520	129	7	10	10	NUM
ejpam-520	129	8	)	)	PUNCT
ejpam-520	129	9	logarithmically	logarithmically	ADV
ejpam-520	129	10	and	and	CCONJ
ejpam-520	129	11	the	the	DET
ejpam-520	129	12	simple	simple	ADJ
ejpam-520	129	13	computation	computation	NOUN
ejpam-520	129	14	yields	yield	VERB
ejpam-520	129	15	zp′(z	zp′(z	NOUN
ejpam-520	129	16	)	)	PUNCT
ejpam-520	129	17	p(z	p(z	NOUN
ejpam-520	129	18	)	)	PUNCT
ejpam-520	129	19	=	=	SYM
ejpam-520	129	20	(	(	PUNCT
ejpam-520	129	21	α1	α1	PROPN
ejpam-520	129	22	+	+	CCONJ
ejpam-520	129	23	1	1	NUM
ejpam-520	129	24	)	)	PUNCT
ejpam-520	129	25	h	h	NOUN
ejpam-520	129	26	l	l	NOUN
ejpam-520	129	27	m[α1	m[α1	NOUN
ejpam-520	130	1	+	+	NOUN
ejpam-520	130	2	2	2	X
ejpam-520	130	3	]	]	SYM
ejpam-520	130	4	f	f	X
ejpam-520	130	5	(	(	PUNCT
ejpam-520	130	6	z	z	NOUN
ejpam-520	130	7	)	)	PUNCT
ejpam-520	130	8	h	h	NOUN
ejpam-520	130	9	l	l	NOUN
ejpam-520	130	10	m[α1	m[α1	NOUN
ejpam-520	131	1	+	+	NOUN
ejpam-520	131	2	1	1	X
ejpam-520	131	3	]	]	SYM
ejpam-520	131	4	f	f	X
ejpam-520	131	5	(	(	PUNCT
ejpam-520	131	6	z	z	NOUN
ejpam-520	131	7	)	)	PUNCT
ejpam-520	131	8	−	−	ADP
ejpam-520	131	9	δα1	δα1	ADJ
ejpam-520	131	10	h	h	NOUN
ejpam-520	131	11	l	l	NOUN
ejpam-520	131	12	m[α1	m[α1	NOUN
ejpam-520	132	1	+	+	NOUN
ejpam-520	132	2	1	1	X
ejpam-520	132	3	]	]	SYM
ejpam-520	132	4	f	f	X
ejpam-520	132	5	(	(	PUNCT
ejpam-520	132	6	z	z	NOUN
ejpam-520	132	7	)	)	PUNCT
ejpam-520	132	8	h	h	NOUN
ejpam-520	132	9	l	l	NOUN
ejpam-520	132	10	m[α1	m[α1	X
ejpam-520	132	11	]	]	X
ejpam-520	132	12	f	f	X
ejpam-520	132	13	(	(	PUNCT
ejpam-520	132	14	z	z	NOUN
ejpam-520	132	15	)	)	PUNCT
ejpam-520	133	1	+	+	NOUN
ejpam-520	133	2	α1(δ−	α1(δ−	NOUN
ejpam-520	133	3	1)−	1)−	NUM
ejpam-520	133	4	1	1	NUM
ejpam-520	133	5	.	.	PUNCT
ejpam-520	133	6	by	by	ADP
ejpam-520	133	7	the	the	DET
ejpam-520	133	8	hypothesis	hypothesis	NOUN
ejpam-520	133	9	of	of	ADP
ejpam-520	133	10	the	the	DET
ejpam-520	133	11	theorem	theorem	NOUN
ejpam-520	133	12	,	,	PUNCT
ejpam-520	133	13	we	we	PRON
ejpam-520	133	14	have	have	AUX
ejpam-520	133	15	re	re	VERB
ejpam-520	133	16	�	�	PROPN
ejpam-520	133	17	1	1	NUM
ejpam-520	133	18	+	+	NUM
ejpam-520	133	19	zp′(z	zp′(z	NOUN
ejpam-520	133	20	)	)	PUNCT
ejpam-520	133	21	p(z	p(z	NOUN
ejpam-520	133	22	)	)	PUNCT
ejpam-520	133	23	�	�	PROPN
ejpam-520	133	24	>	>	X
ejpam-520	134	1	3α−	3α−	PROPN
ejpam-520	134	2	1	1	NUM
ejpam-520	134	3	2α	2α	NOUN
ejpam-520	134	4	.	.	PUNCT
ejpam-520	135	1	hence	hence	ADV
ejpam-520	135	2	by	by	ADP
ejpam-520	135	3	lemma	lemma	PROPN
ejpam-520	135	4	1	1	NUM
ejpam-520	135	5	,	,	PUNCT
ejpam-520	135	6	we	we	PRON
ejpam-520	135	7	have	have	AUX
ejpam-520	135	8	re	re	VERB
ejpam-520	135	9	(	(	PUNCT
ejpam-520	135	10	h	h	NOUN
ejpam-520	135	11	l	l	X
ejpam-520	135	12	m[α1	m[α1	X
ejpam-520	136	1	+	+	NOUN
ejpam-520	136	2	1	1	X
ejpam-520	136	3	]	]	SYM
ejpam-520	136	4	f	f	X
ejpam-520	136	5	(	(	PUNCT
ejpam-520	136	6	z	z	NOUN
ejpam-520	136	7	)	)	PUNCT
ejpam-520	136	8	z	z	NOUN
ejpam-520	136	9	�	�	PROPN
ejpam-520	136	10	z	z	NOUN
ejpam-520	136	11	h	h	NOUN
ejpam-520	137	1	l	l	NOUN
ejpam-520	137	2	m[α1	m[α1	X
ejpam-520	137	3	]	]	X
ejpam-520	137	4	f	f	X
ejpam-520	137	5	(	(	PUNCT
ejpam-520	137	6	z	z	NOUN
ejpam-520	137	7	)	)	PUNCT
ejpam-520	137	8	�	�	PROPN
ejpam-520	137	9	δ	δ	PROPN
ejpam-520	137	10	)	)	PUNCT
ejpam-520	137	11	>	>	X
ejpam-520	138	1	α	α	X
ejpam-520	138	2	,	,	PUNCT
ejpam-520	138	3	z	z	PROPN
ejpam-520	138	4	∈	∈	PROPN
ejpam-520	138	5	u	u	NOUN
ejpam-520	138	6	.	.	PUNCT
ejpam-520	139	1	therefore	therefore	ADV
ejpam-520	139	2	in	in	ADP
ejpam-520	139	3	view	view	NOUN
ejpam-520	139	4	of	of	ADP
ejpam-520	139	5	definition	definition	NOUN
ejpam-520	139	6	f	f	X
ejpam-520	139	7	(	(	PUNCT
ejpam-520	139	8	z	z	NOUN
ejpam-520	139	9	)	)	PUNCT
ejpam-520	139	10	∈	∈	PROPN
ejpam-520	139	11	bl	bl	PROPN
ejpam-520	139	12	m(α	m(α	PROPN
ejpam-520	139	13	,	,	PUNCT
ejpam-520	139	14	δ	δ	PROPN
ejpam-520	139	15	)	)	PUNCT
ejpam-520	139	16	.	.	PUNCT
ejpam-520	140	1	for	for	ADP
ejpam-520	140	2	l	l	NOUN
ejpam-520	140	3	=	=	SYM
ejpam-520	140	4	2	2	NUM
ejpam-520	140	5	and	and	CCONJ
ejpam-520	140	6	m	m	VERB
ejpam-520	140	7	=	=	NOUN
ejpam-520	140	8	1	1	NUM
ejpam-520	140	9	with	with	ADP
ejpam-520	140	10	α1	α1	PROPN
ejpam-520	140	11	=	=	PUNCT
ejpam-520	140	12	a	a	X
ejpam-520	140	13	(	(	PUNCT
ejpam-520	140	14	a	a	DET
ejpam-520	140	15	>	>	X
ejpam-520	140	16	0	0	NUM
ejpam-520	140	17	)	)	PUNCT
ejpam-520	140	18	,	,	PUNCT
ejpam-520	140	19	α2	α2	PROPN
ejpam-520	140	20	=	=	SYM
ejpam-520	140	21	1	1	NUM
ejpam-520	140	22	,	,	PUNCT
ejpam-520	140	23	β1	β1	PROPN
ejpam-520	140	24	=	=	PUNCT
ejpam-520	140	25	c	c	X
ejpam-520	140	26	(	(	PUNCT
ejpam-520	140	27	c	c	NOUN
ejpam-520	140	28	>	>	X
ejpam-520	140	29	0	0	NUM
ejpam-520	140	30	)	)	PUNCT
ejpam-520	140	31	,	,	PUNCT
ejpam-520	140	32	we	we	PRON
ejpam-520	140	33	obtain	obtain	VERB
ejpam-520	140	34	the	the	DET
ejpam-520	140	35	following	follow	VERB
ejpam-520	140	36	corollary	corollary	NOUN
ejpam-520	140	37	.	.	PUNCT
ejpam-520	141	1	g.	g.	PROPN
ejpam-520	141	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-520	141	3	and	and	CCONJ
ejpam-520	141	4	n.	n.	PROPN
ejpam-520	141	5	magesh	magesh	PROPN
ejpam-520	141	6	/	/	SYM
ejpam-520	141	7	eur	eur	PROPN
ejpam-520	141	8	.	.	PUNCT
ejpam-520	142	1	j.	j.	PROPN
ejpam-520	142	2	pure	pure	PROPN
ejpam-520	142	3	appl	appl	PROPN
ejpam-520	142	4	.	.	PROPN
ejpam-520	142	5	math	math	PROPN
ejpam-520	142	6	,	,	PUNCT
ejpam-520	142	7	4	4	NUM
ejpam-520	142	8	(	(	PUNCT
ejpam-520	142	9	2011	2011	NUM
ejpam-520	142	10	)	)	PUNCT
ejpam-520	142	11	,	,	PUNCT
ejpam-520	142	12	76	76	NUM
ejpam-520	142	13	-	-	SYM
ejpam-520	142	14	82	82	NUM
ejpam-520	142	15	80	80	NUM
ejpam-520	142	16	corollary	corollary	ADJ
ejpam-520	142	17	1	1	NUM
ejpam-520	142	18	.	.	PUNCT
ejpam-520	143	1	let	let	VERB
ejpam-520	143	2	1	1	NUM
ejpam-520	143	3	2	2	NUM
ejpam-520	143	4	≤	≤	NUM
ejpam-520	143	5	α	α	PRON
ejpam-520	143	6	<	<	X
ejpam-520	143	7	1	1	NUM
ejpam-520	143	8	.	.	PUNCT
ejpam-520	144	1	if	if	SCONJ
ejpam-520	144	2	f	f	PROPN
ejpam-520	144	3	∈a	∈a	VERB
ejpam-520	144	4	and	and	CCONJ
ejpam-520	144	5	re	re	ADJ
ejpam-520	144	6	�	�	PROPN
ejpam-520	144	7	(	(	PUNCT
ejpam-520	144	8	a+	a+	X
ejpam-520	144	9	1	1	NUM
ejpam-520	144	10	)	)	PUNCT
ejpam-520	144	11	l[a+	l[a+	ADJ
ejpam-520	144	12	2	2	NUM
ejpam-520	144	13	,	,	PUNCT
ejpam-520	144	14	c	c	NOUN
ejpam-520	144	15	]	]	X
ejpam-520	144	16	f	f	X
ejpam-520	144	17	(	(	PUNCT
ejpam-520	144	18	z	z	NOUN
ejpam-520	144	19	)	)	PUNCT
ejpam-520	144	20	l[a+	l[a+	NOUN
ejpam-520	144	21	1	1	NUM
ejpam-520	144	22	,	,	PUNCT
ejpam-520	144	23	c	c	NOUN
ejpam-520	144	24	]	]	X
ejpam-520	144	25	f	f	X
ejpam-520	145	1	(	(	PUNCT
ejpam-520	145	2	z	z	NOUN
ejpam-520	145	3	)	)	PUNCT
ejpam-520	145	4	−	−	PROPN
ejpam-520	145	5	δa	δa	ADP
ejpam-520	145	6	l[a+	l[a+	ADJ
ejpam-520	145	7	1	1	NUM
ejpam-520	145	8	,	,	PUNCT
ejpam-520	145	9	c	c	NOUN
ejpam-520	145	10	]	]	X
ejpam-520	145	11	f	f	X
ejpam-520	145	12	(	(	PUNCT
ejpam-520	145	13	z	z	NOUN
ejpam-520	145	14	)	)	PUNCT
ejpam-520	145	15	l[a	l[a	NOUN
ejpam-520	146	1	,	,	PUNCT
ejpam-520	146	2	c	c	X
ejpam-520	146	3	]	]	X
ejpam-520	146	4	f	f	X
ejpam-520	146	5	(	(	PUNCT
ejpam-520	146	6	z	z	NOUN
ejpam-520	146	7	)	)	PUNCT
ejpam-520	147	1	+	+	CCONJ
ejpam-520	147	2	a(δ−	a(δ−	NOUN
ejpam-520	147	3	1	1	NUM
ejpam-520	147	4	)	)	PUNCT
ejpam-520	147	5	�	�	X
ejpam-520	147	6	>	>	X
ejpam-520	148	1	3α−	3α−	PROPN
ejpam-520	148	2	1	1	NUM
ejpam-520	148	3	2α	2α	NOUN
ejpam-520	148	4	,	,	PUNCT
ejpam-520	148	5	z	z	PROPN
ejpam-520	148	6	∈	∈	PROPN
ejpam-520	148	7	u	u	NOUN
ejpam-520	148	8	,	,	PUNCT
ejpam-520	148	9	then	then	ADV
ejpam-520	148	10	re	re	VERB
ejpam-520	148	11	¨	¨	PROPN
ejpam-520	148	12	l[a+	l[a+	PROPN
ejpam-520	148	13	1	1	NUM
ejpam-520	148	14	,	,	PUNCT
ejpam-520	148	15	c	c	NOUN
ejpam-520	148	16	]	]	X
ejpam-520	148	17	f	f	X
ejpam-520	148	18	(	(	PUNCT
ejpam-520	148	19	z	z	NOUN
ejpam-520	148	20	)	)	PUNCT
ejpam-520	148	21	z	z	NOUN
ejpam-520	148	22	�	�	PROPN
ejpam-520	148	23	z	z	PROPN
ejpam-520	148	24	l[a	l[a	NOUN
ejpam-520	148	25	,	,	PUNCT
ejpam-520	148	26	c	c	X
ejpam-520	148	27	]	]	X
ejpam-520	148	28	f	f	X
ejpam-520	148	29	(	(	PUNCT
ejpam-520	148	30	z	z	NOUN
ejpam-520	148	31	)	)	PUNCT
ejpam-520	148	32	�	�	PROPN
ejpam-520	148	33	δ	δ	NOUN
ejpam-520	148	34	«	«	PUNCT
ejpam-520	148	35	>	>	PUNCT
ejpam-520	148	36	α	α	PROPN
ejpam-520	148	37	,	,	PUNCT
ejpam-520	148	38	z	z	PROPN
ejpam-520	148	39	∈	∈	PROPN
ejpam-520	148	40	u	u	NOUN
ejpam-520	148	41	.	.	PUNCT
ejpam-520	149	1	therefore	therefore	ADV
ejpam-520	149	2	f	f	X
ejpam-520	149	3	(	(	PUNCT
ejpam-520	149	4	z	z	NOUN
ejpam-520	149	5	)	)	PUNCT
ejpam-520	149	6	∈	∈	PROPN
ejpam-520	149	7	b(a	b(a	NOUN
ejpam-520	149	8	,	,	PUNCT
ejpam-520	149	9	c	c	X
ejpam-520	149	10	,	,	PUNCT
ejpam-520	149	11	α	α	NOUN
ejpam-520	149	12	,	,	PUNCT
ejpam-520	149	13	δ	δ	PROPN
ejpam-520	149	14	)	)	PUNCT
ejpam-520	149	15	.	.	PUNCT
ejpam-520	150	1	taking	take	VERB
ejpam-520	150	2	l	l	NOUN
ejpam-520	150	3	=	=	SYM
ejpam-520	150	4	2	2	NUM
ejpam-520	150	5	and	and	CCONJ
ejpam-520	150	6	m	m	VERB
ejpam-520	150	7	=	=	NOUN
ejpam-520	150	8	1	1	NUM
ejpam-520	150	9	with	with	ADP
ejpam-520	150	10	α1	α1	PROPN
ejpam-520	150	11	=	=	SYM
ejpam-520	150	12	µ+	µ+	X
ejpam-520	150	13	1(µ	1(µ	NUM
ejpam-520	150	14	>	>	PUNCT
ejpam-520	150	15	−1	−1	NOUN
ejpam-520	150	16	)	)	PUNCT
ejpam-520	150	17	,	,	PUNCT
ejpam-520	150	18	α2	α2	PROPN
ejpam-520	150	19	=	=	SYM
ejpam-520	150	20	1	1	NUM
ejpam-520	150	21	,	,	PUNCT
ejpam-520	150	22	β1	β1	PROPN
ejpam-520	150	23	=	=	PUNCT
ejpam-520	150	24	µ+	µ+	X
ejpam-520	150	25	2	2	NUM
ejpam-520	150	26	,	,	PUNCT
ejpam-520	150	27	we	we	PRON
ejpam-520	150	28	get	get	VERB
ejpam-520	150	29	corollary	corollary	ADJ
ejpam-520	150	30	2	2	NUM
ejpam-520	150	31	.	.	PUNCT
ejpam-520	151	1	let	let	VERB
ejpam-520	151	2	1	1	NUM
ejpam-520	151	3	2	2	NUM
ejpam-520	151	4	≤	≤	NUM
ejpam-520	151	5	α	α	PRON
ejpam-520	151	6	<	<	X
ejpam-520	151	7	1	1	NUM
ejpam-520	151	8	.	.	PUNCT
ejpam-520	152	1	if	if	SCONJ
ejpam-520	152	2	f	f	PROPN
ejpam-520	152	3	∈a	∈a	VERB
ejpam-520	152	4	and	and	CCONJ
ejpam-520	152	5	re	re	ADJ
ejpam-520	152	6	¨	¨	X
ejpam-520	152	7	(	(	PUNCT
ejpam-520	152	8	µ+	µ+	X
ejpam-520	152	9	2	2	NUM
ejpam-520	152	10	)	)	PUNCT
ejpam-520	152	11	jµ+2	jµ+2	PROPN
ejpam-520	152	12	f	f	PROPN
ejpam-520	152	13	(	(	PUNCT
ejpam-520	152	14	z	z	NOUN
ejpam-520	152	15	)	)	PUNCT
ejpam-520	152	16	jµ+1	jµ+1	NOUN
ejpam-520	152	17	f	f	PROPN
ejpam-520	152	18	(	(	PUNCT
ejpam-520	152	19	z	z	NOUN
ejpam-520	152	20	)	)	PUNCT
ejpam-520	152	21	−	−	PROPN
ejpam-520	152	22	δ(µ+	δ(µ+	NOUN
ejpam-520	152	23	1	1	NUM
ejpam-520	152	24	)	)	PUNCT
ejpam-520	152	25	jµ+1	jµ+1	NOUN
ejpam-520	152	26	f	f	PROPN
ejpam-520	152	27	(	(	PUNCT
ejpam-520	152	28	z	z	NOUN
ejpam-520	152	29	)	)	PUNCT
ejpam-520	152	30	jµ	jµ	PROPN
ejpam-520	152	31	f	f	X
ejpam-520	152	32	(	(	PUNCT
ejpam-520	152	33	z	z	NOUN
ejpam-520	152	34	)	)	PUNCT
ejpam-520	152	35	+	+	CCONJ
ejpam-520	152	36	(	(	PUNCT
ejpam-520	152	37	µ+	µ+	PROPN
ejpam-520	152	38	1)(δ−	1)(δ−	NUM
ejpam-520	152	39	1	1	NUM
ejpam-520	152	40	)	)	PUNCT
ejpam-520	152	41	«	«	PUNCT
ejpam-520	152	42	>	>	PUNCT
ejpam-520	152	43	3α−	3α−	NUM
ejpam-520	152	44	1	1	NUM
ejpam-520	152	45	2α	2α	NOUN
ejpam-520	152	46	,	,	PUNCT
ejpam-520	152	47	z	z	PROPN
ejpam-520	152	48	∈	∈	PROPN
ejpam-520	152	49	u	u	NOUN
ejpam-520	152	50	,	,	PUNCT
ejpam-520	152	51	then	then	ADV
ejpam-520	152	52	re	re	VERB
ejpam-520	152	53	(	(	PUNCT
ejpam-520	152	54	jµ+1	jµ+1	NOUN
ejpam-520	152	55	f	f	PROPN
ejpam-520	152	56	(	(	PUNCT
ejpam-520	152	57	z	z	NOUN
ejpam-520	152	58	)	)	PUNCT
ejpam-520	152	59	z	z	NOUN
ejpam-520	152	60	�	�	PROPN
ejpam-520	152	61	z	z	PROPN
ejpam-520	152	62	jµ	jµ	PROPN
ejpam-520	152	63	f	f	X
ejpam-520	152	64	(	(	PUNCT
ejpam-520	152	65	z	z	NOUN
ejpam-520	152	66	)	)	PUNCT
ejpam-520	152	67	�	�	PROPN
ejpam-520	152	68	δ	δ	PROPN
ejpam-520	152	69	)	)	PUNCT
ejpam-520	152	70	>	>	X
ejpam-520	153	1	α	α	X
ejpam-520	153	2	,	,	PUNCT
ejpam-520	153	3	z	z	PROPN
ejpam-520	153	4	∈	∈	PROPN
ejpam-520	153	5	u	u	NOUN
ejpam-520	153	6	.	.	PUNCT
ejpam-520	154	1	therefore	therefore	ADV
ejpam-520	154	2	f	f	X
ejpam-520	154	3	(	(	PUNCT
ejpam-520	154	4	z	z	NOUN
ejpam-520	154	5	)	)	PUNCT
ejpam-520	154	6	∈	∈	PROPN
ejpam-520	154	7	b(µ,α	b(µ,α	NOUN
ejpam-520	154	8	,	,	PUNCT
ejpam-520	154	9	δ	δ	PROPN
ejpam-520	154	10	)	)	PUNCT
ejpam-520	154	11	.	.	PUNCT
ejpam-520	155	1	choosing	choose	VERB
ejpam-520	155	2	l	l	NOUN
ejpam-520	155	3	=	=	SYM
ejpam-520	155	4	2	2	NUM
ejpam-520	155	5	and	and	CCONJ
ejpam-520	155	6	m=	m=	X
ejpam-520	155	7	1	1	NUM
ejpam-520	155	8	with	with	ADP
ejpam-520	155	9	α1	α1	PROPN
ejpam-520	155	10	=	=	SYM
ejpam-520	155	11	η+	η+	X
ejpam-520	155	12	1	1	NUM
ejpam-520	155	13	(	(	PUNCT
ejpam-520	155	14	η	η	X
ejpam-520	155	15	>	>	X
ejpam-520	155	16	−1	−1	NOUN
ejpam-520	155	17	)	)	PUNCT
ejpam-520	155	18	,	,	PUNCT
ejpam-520	155	19	α2	α2	PROPN
ejpam-520	155	20	=	=	SYM
ejpam-520	155	21	1	1	NUM
ejpam-520	155	22	,	,	PUNCT
ejpam-520	155	23	β1	β1	PROPN
ejpam-520	155	24	=	=	SYM
ejpam-520	155	25	1	1	NUM
ejpam-520	155	26	,	,	PUNCT
ejpam-520	155	27	we	we	PRON
ejpam-520	155	28	have	have	VERB
ejpam-520	155	29	corollary	corollary	ADJ
ejpam-520	155	30	3	3	NUM
ejpam-520	155	31	.	.	PUNCT
ejpam-520	156	1	let	let	VERB
ejpam-520	156	2	1	1	NUM
ejpam-520	156	3	2	2	NUM
ejpam-520	156	4	≤	≤	NUM
ejpam-520	156	5	α	α	PRON
ejpam-520	156	6	<	<	X
ejpam-520	156	7	1	1	NUM
ejpam-520	156	8	.	.	PUNCT
ejpam-520	157	1	if	if	SCONJ
ejpam-520	157	2	f	f	PROPN
ejpam-520	157	3	∈a	∈a	VERB
ejpam-520	157	4	and	and	CCONJ
ejpam-520	157	5	re	re	ADJ
ejpam-520	157	6	¨	¨	X
ejpam-520	157	7	(	(	PUNCT
ejpam-520	157	8	η+	η+	NOUN
ejpam-520	157	9	2	2	NUM
ejpam-520	157	10	)	)	PUNCT
ejpam-520	157	11	dη+2	dη+2	PROPN
ejpam-520	157	12	f	f	NOUN
ejpam-520	157	13	(	(	PUNCT
ejpam-520	157	14	z	z	NOUN
ejpam-520	157	15	)	)	PUNCT
ejpam-520	157	16	dη+1	dη+1	PROPN
ejpam-520	158	1	f	f	PROPN
ejpam-520	158	2	(	(	PUNCT
ejpam-520	158	3	z	z	NOUN
ejpam-520	158	4	)	)	PUNCT
ejpam-520	158	5	−	−	PROPN
ejpam-520	158	6	δ(η+	δ(η+	NUM
ejpam-520	158	7	1	1	NUM
ejpam-520	158	8	)	)	PUNCT
ejpam-520	158	9	dη+1	dη+1	PROPN
ejpam-520	159	1	f	f	PROPN
ejpam-520	159	2	(	(	PUNCT
ejpam-520	159	3	z	z	NOUN
ejpam-520	159	4	)	)	PUNCT
ejpam-520	159	5	dη	dη	ADP
ejpam-520	159	6	f	f	PROPN
ejpam-520	159	7	(	(	PUNCT
ejpam-520	159	8	z	z	NOUN
ejpam-520	159	9	)	)	PUNCT
ejpam-520	160	1	+	+	CCONJ
ejpam-520	160	2	(	(	PUNCT
ejpam-520	160	3	η+	η+	NOUN
ejpam-520	160	4	1)(δ−	1)(δ−	NUM
ejpam-520	160	5	1	1	NUM
ejpam-520	160	6	)	)	PUNCT
ejpam-520	160	7	«	«	PUNCT
ejpam-520	160	8	>	>	PUNCT
ejpam-520	161	1	3α−	3α−	NUM
ejpam-520	161	2	1	1	NUM
ejpam-520	161	3	2α	2α	NOUN
ejpam-520	161	4	,	,	PUNCT
ejpam-520	161	5	z	z	PROPN
ejpam-520	161	6	∈	∈	PROPN
ejpam-520	161	7	u	u	NOUN
ejpam-520	161	8	,	,	PUNCT
ejpam-520	161	9	then	then	ADV
ejpam-520	161	10	re	re	ADJ
ejpam-520	161	11	¨	¨	PROPN
ejpam-520	161	12	dη+1	dη+1	PROPN
ejpam-520	161	13	f	f	PROPN
ejpam-520	161	14	(	(	PUNCT
ejpam-520	161	15	z	z	NOUN
ejpam-520	161	16	)	)	PUNCT
ejpam-520	161	17	z	z	NOUN
ejpam-520	161	18	�	�	PROPN
ejpam-520	161	19	z	z	PROPN
ejpam-520	161	20	dη	dη	NOUN
ejpam-520	161	21	f	f	PROPN
ejpam-520	161	22	(	(	PUNCT
ejpam-520	161	23	z	z	NOUN
ejpam-520	161	24	)	)	PUNCT
ejpam-520	161	25	�	�	PROPN
ejpam-520	161	26	δ	δ	NOUN
ejpam-520	161	27	«	«	PUNCT
ejpam-520	161	28	>	>	PUNCT
ejpam-520	161	29	α	α	PROPN
ejpam-520	161	30	,	,	PUNCT
ejpam-520	161	31	z	z	PROPN
ejpam-520	161	32	∈	∈	PROPN
ejpam-520	161	33	u	u	NOUN
ejpam-520	161	34	.	.	PUNCT
ejpam-520	162	1	therefore	therefore	ADV
ejpam-520	162	2	f	f	X
ejpam-520	162	3	(	(	PUNCT
ejpam-520	162	4	z	z	NOUN
ejpam-520	162	5	)	)	PUNCT
ejpam-520	162	6	∈	∈	PROPN
ejpam-520	162	7	b(η	b(η	PROPN
ejpam-520	162	8	,	,	PUNCT
ejpam-520	162	9	α	α	NOUN
ejpam-520	162	10	,	,	PUNCT
ejpam-520	162	11	δ	δ	PROPN
ejpam-520	162	12	)	)	PUNCT
ejpam-520	162	13	.	.	PUNCT
ejpam-520	163	1	choosing	choose	VERB
ejpam-520	163	2	l	l	NOUN
ejpam-520	163	3	=	=	SYM
ejpam-520	163	4	2	2	NUM
ejpam-520	163	5	and	and	CCONJ
ejpam-520	163	6	m=	m=	X
ejpam-520	163	7	1	1	NUM
ejpam-520	163	8	with	with	ADP
ejpam-520	163	9	α1	α1	PROPN
ejpam-520	163	10	=	=	SYM
ejpam-520	163	11	1	1	NUM
ejpam-520	163	12	,	,	PUNCT
ejpam-520	163	13	α2	α2	NOUN
ejpam-520	163	14	=	=	SYM
ejpam-520	163	15	1	1	NUM
ejpam-520	163	16	and	and	CCONJ
ejpam-520	163	17	β1	β1	PROPN
ejpam-520	163	18	=	=	SYM
ejpam-520	163	19	1	1	NUM
ejpam-520	163	20	,	,	PUNCT
ejpam-520	163	21	we	we	PRON
ejpam-520	163	22	have	have	VERB
ejpam-520	163	23	corollary	corollary	ADJ
ejpam-520	163	24	4	4	NUM
ejpam-520	163	25	.	.	PUNCT
ejpam-520	164	1	[	[	X
ejpam-520	164	2	5	5	X
ejpam-520	164	3	]	]	PUNCT
ejpam-520	164	4	if	if	SCONJ
ejpam-520	164	5	f	f	PROPN
ejpam-520	164	6	∈a	∈a	VERB
ejpam-520	164	7	and	and	CCONJ
ejpam-520	164	8	re	re	ADJ
ejpam-520	164	9	�	�	PROPN
ejpam-520	164	10	1	1	NUM
ejpam-520	164	11	+	+	PROPN
ejpam-520	164	12	z	z	PROPN
ejpam-520	164	13	f	f	NOUN
ejpam-520	164	14	′′(z	′′(z	PROPN
ejpam-520	164	15	)	)	PUNCT
ejpam-520	164	16	f	f	PROPN
ejpam-520	164	17	′(z	′(z	NOUN
ejpam-520	164	18	)	)	PUNCT
ejpam-520	164	19	+	+	CCONJ
ejpam-520	164	20	δ	δ	PROPN
ejpam-520	164	21	�	�	PROPN
ejpam-520	164	22	1−	1−	NUM
ejpam-520	164	23	z	z	NOUN
ejpam-520	164	24	f	f	NOUN
ejpam-520	164	25	′(z	′(z	NOUN
ejpam-520	164	26	)	)	PUNCT
ejpam-520	164	27	f	f	PROPN
ejpam-520	164	28	(	(	PUNCT
ejpam-520	164	29	z	z	NOUN
ejpam-520	164	30	)	)	PUNCT
ejpam-520	164	31	�	�	PROPN
ejpam-520	164	32	�	�	PROPN
ejpam-520	164	33	>	>	SYM
ejpam-520	164	34	3α−	3α−	PROPN
ejpam-520	164	35	1	1	NUM
ejpam-520	164	36	2α	2α	NOUN
ejpam-520	164	37	,	,	PUNCT
ejpam-520	164	38	z	z	PROPN
ejpam-520	164	39	∈	∈	PROPN
ejpam-520	164	40	u	u	NOUN
ejpam-520	164	41	,	,	PUNCT
ejpam-520	164	42	then	then	ADV
ejpam-520	164	43	re	re	ADP
ejpam-520	164	44	¨	¨	PROPN
ejpam-520	164	45	f	f	PROPN
ejpam-520	164	46	′(z	′(z	NOUN
ejpam-520	164	47	)	)	PUNCT
ejpam-520	164	48	�	�	PROPN
ejpam-520	164	49	z	z	PROPN
ejpam-520	164	50	f	f	PROPN
ejpam-520	164	51	(	(	PUNCT
ejpam-520	164	52	z	z	NOUN
ejpam-520	164	53	)	)	PUNCT
ejpam-520	164	54	�	�	PROPN
ejpam-520	164	55	δ	δ	NOUN
ejpam-520	164	56	«	«	PUNCT
ejpam-520	164	57	>	>	PUNCT
ejpam-520	164	58	α	α	PROPN
ejpam-520	164	59	,	,	PUNCT
ejpam-520	164	60	z	z	PROPN
ejpam-520	164	61	∈	∈	PROPN
ejpam-520	164	62	u	u	NOUN
ejpam-520	164	63	.	.	PUNCT
ejpam-520	165	1	therefore	therefore	ADV
ejpam-520	165	2	f	f	X
ejpam-520	165	3	(	(	PUNCT
ejpam-520	165	4	z	z	NOUN
ejpam-520	165	5	)	)	PUNCT
ejpam-520	165	6	∈	∈	PROPN
ejpam-520	165	7	b2	b2	NOUN
ejpam-520	165	8	1(α	1(α	NUM
ejpam-520	165	9	,	,	PUNCT
ejpam-520	165	10	δ	δ	PROPN
ejpam-520	165	11	)	)	PUNCT
ejpam-520	165	12	.	.	PUNCT
ejpam-520	166	1	g.	g.	PROPN
ejpam-520	166	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-520	166	3	and	and	CCONJ
ejpam-520	166	4	n.	n.	PROPN
ejpam-520	166	5	magesh	magesh	PROPN
ejpam-520	166	6	/	/	SYM
ejpam-520	166	7	eur	eur	PROPN
ejpam-520	166	8	.	.	PUNCT
ejpam-520	167	1	j.	j.	PROPN
ejpam-520	167	2	pure	pure	PROPN
ejpam-520	167	3	appl	appl	PROPN
ejpam-520	167	4	.	.	PROPN
ejpam-520	167	5	math	math	PROPN
ejpam-520	167	6	,	,	PUNCT
ejpam-520	167	7	4	4	NUM
ejpam-520	167	8	(	(	PUNCT
ejpam-520	167	9	2011	2011	NUM
ejpam-520	167	10	)	)	PUNCT
ejpam-520	167	11	,	,	PUNCT
ejpam-520	167	12	76	76	NUM
ejpam-520	167	13	-	-	SYM
ejpam-520	167	14	82	82	NUM
ejpam-520	167	15	81	81	NUM
ejpam-520	167	16	choosing	choose	VERB
ejpam-520	167	17	l	l	NOUN
ejpam-520	167	18	=	=	SYM
ejpam-520	167	19	2	2	NUM
ejpam-520	167	20	and	and	CCONJ
ejpam-520	167	21	m=	m=	X
ejpam-520	167	22	1	1	NUM
ejpam-520	167	23	with	with	ADP
ejpam-520	167	24	α1	α1	PROPN
ejpam-520	167	25	=	=	SYM
ejpam-520	167	26	2	2	NUM
ejpam-520	167	27	,	,	PUNCT
ejpam-520	167	28	α2	α2	NOUN
ejpam-520	167	29	=	=	SYM
ejpam-520	167	30	1	1	NUM
ejpam-520	167	31	,	,	PUNCT
ejpam-520	167	32	β1	β1	PROPN
ejpam-520	167	33	=	=	SYM
ejpam-520	167	34	1	1	NUM
ejpam-520	167	35	,	,	PUNCT
ejpam-520	167	36	δ	δ	PROPN
ejpam-520	167	37	=	=	SYM
ejpam-520	167	38	1	1	NUM
ejpam-520	167	39	and	and	CCONJ
ejpam-520	167	40	α	α	NOUN
ejpam-520	167	41	=	=	SYM
ejpam-520	167	42	1	1	NUM
ejpam-520	167	43	2	2	NUM
ejpam-520	168	1	we	we	PRON
ejpam-520	168	2	have	have	VERB
ejpam-520	168	3	corollary	corollary	ADJ
ejpam-520	168	4	5	5	NUM
ejpam-520	168	5	.	.	PUNCT
ejpam-520	169	1	if	if	SCONJ
ejpam-520	169	2	f	f	PROPN
ejpam-520	169	3	∈a	∈a	VERB
ejpam-520	169	4	and	and	CCONJ
ejpam-520	169	5	re	re	ADJ
ejpam-520	169	6	¨	¨	PROPN
ejpam-520	169	7	z2	z2	PROPN
ejpam-520	169	8	f	f	PROPN
ejpam-520	169	9	′′′+	′′′+	NOUN
ejpam-520	170	1	6z	6z	PROPN
ejpam-520	170	2	f	f	PROPN
ejpam-520	170	3	′′(z	′′(z	PROPN
ejpam-520	170	4	)	)	PUNCT
ejpam-520	171	1	+	+	CCONJ
ejpam-520	171	2	6	6	NUM
ejpam-520	171	3	f	f	NOUN
ejpam-520	171	4	′(z	′(z	NOUN
ejpam-520	171	5	)	)	PUNCT
ejpam-520	171	6	2	2	NUM
ejpam-520	171	7	f	f	NOUN
ejpam-520	171	8	′(z	′(z	NOUN
ejpam-520	171	9	)	)	PUNCT
ejpam-520	172	1	+	+	CCONJ
ejpam-520	172	2	z	z	NOUN
ejpam-520	172	3	f	f	X
ejpam-520	173	1	′′	′′	PROPN
ejpam-520	173	2	−	−	PROPN
ejpam-520	173	3	z	z	PROPN
ejpam-520	173	4	f	f	PROPN
ejpam-520	173	5	′′(z	′′(z	PROPN
ejpam-520	173	6	)	)	PUNCT
ejpam-520	173	7	f	f	PROPN
ejpam-520	173	8	′(z	′(z	NOUN
ejpam-520	173	9	)	)	PUNCT
ejpam-520	173	10	«	«	PUNCT
ejpam-520	173	11	>	>	X
ejpam-520	173	12	3	3	NUM
ejpam-520	173	13	2	2	NUM
ejpam-520	173	14	,	,	PUNCT
ejpam-520	173	15	z	z	PROPN
ejpam-520	173	16	∈	∈	PROPN
ejpam-520	173	17	u	u	NOUN
ejpam-520	173	18	,	,	PUNCT
ejpam-520	173	19	then	then	ADV
ejpam-520	173	20	re	re	VERB
ejpam-520	173	21	�	�	PROPN
ejpam-520	173	22	1	1	NUM
ejpam-520	173	23	+	+	PROPN
ejpam-520	173	24	z	z	PROPN
ejpam-520	173	25	f	f	NOUN
ejpam-520	173	26	′′(z	′′(z	PROPN
ejpam-520	173	27	)	)	PUNCT
ejpam-520	173	28	f	f	PROPN
ejpam-520	173	29	′(z	′(z	NOUN
ejpam-520	173	30	)	)	PUNCT
ejpam-520	173	31	�	�	PROPN
ejpam-520	173	32	>	>	X
ejpam-520	173	33	0	0	PROPN
ejpam-520	173	34	,	,	PUNCT
ejpam-520	173	35	z	z	PROPN
ejpam-520	173	36	∈	∈	PROPN
ejpam-520	173	37	u	u	NOUN
ejpam-520	173	38	.	.	PUNCT
ejpam-520	174	1	that	that	PRON
ejpam-520	174	2	is	be	AUX
ejpam-520	174	3	,	,	PUNCT
ejpam-520	174	4	f	f	PROPN
ejpam-520	174	5	(	(	PUNCT
ejpam-520	174	6	z	z	NOUN
ejpam-520	174	7	)	)	PUNCT
ejpam-520	174	8	∈	∈	PROPN
ejpam-520	175	1	k	k	X
ejpam-520	175	2	.	.	PUNCT
ejpam-520	176	1	choosing	choose	VERB
ejpam-520	176	2	l	l	NOUN
ejpam-520	176	3	=	=	SYM
ejpam-520	176	4	2	2	NUM
ejpam-520	176	5	and	and	CCONJ
ejpam-520	176	6	m=	m=	X
ejpam-520	176	7	1	1	NUM
ejpam-520	176	8	with	with	ADP
ejpam-520	176	9	α1	α1	PROPN
ejpam-520	176	10	=	=	SYM
ejpam-520	176	11	2	2	NUM
ejpam-520	176	12	,	,	PUNCT
ejpam-520	176	13	α2	α2	NOUN
ejpam-520	176	14	=	=	SYM
ejpam-520	176	15	1	1	NUM
ejpam-520	176	16	,	,	PUNCT
ejpam-520	176	17	β1	β1	PROPN
ejpam-520	176	18	=	=	SYM
ejpam-520	176	19	1	1	NUM
ejpam-520	176	20	,	,	PUNCT
ejpam-520	176	21	δ	δ	X
ejpam-520	176	22	=	=	SYM
ejpam-520	176	23	0	0	NUM
ejpam-520	176	24	and	and	CCONJ
ejpam-520	176	25	α	α	NOUN
ejpam-520	176	26	=	=	NOUN
ejpam-520	176	27	1	1	NUM
ejpam-520	176	28	2	2	NUM
ejpam-520	176	29	we	we	PRON
ejpam-520	176	30	have	have	VERB
ejpam-520	176	31	corollary	corollary	ADJ
ejpam-520	176	32	6	6	NUM
ejpam-520	176	33	.	.	PUNCT
ejpam-520	177	1	if	if	SCONJ
ejpam-520	177	2	f	f	PROPN
ejpam-520	177	3	∈a	∈a	VERB
ejpam-520	177	4	and	and	CCONJ
ejpam-520	177	5	re	re	ADJ
ejpam-520	177	6	¨	¨	PROPN
ejpam-520	177	7	z2	z2	PROPN
ejpam-520	177	8	f	f	PROPN
ejpam-520	177	9	′′′+	′′′+	PROPN
ejpam-520	178	1	4z	4z	X
ejpam-520	178	2	f	f	PROPN
ejpam-520	178	3	′′(z	′′(z	PROPN
ejpam-520	178	4	)	)	PUNCT
ejpam-520	179	1	+	+	CCONJ
ejpam-520	179	2	2	2	NUM
ejpam-520	179	3	f	f	NOUN
ejpam-520	179	4	′(z	′(z	NOUN
ejpam-520	179	5	)	)	PUNCT
ejpam-520	179	6	2	2	NUM
ejpam-520	179	7	f	f	NOUN
ejpam-520	179	8	′(z	′(z	NOUN
ejpam-520	179	9	)	)	PUNCT
ejpam-520	180	1	+	+	CCONJ
ejpam-520	180	2	z	z	NOUN
ejpam-520	180	3	f	f	X
ejpam-520	181	1	′′	′′	PROPN
ejpam-520	181	2	«	«	PUNCT
ejpam-520	181	3	>	>	PROPN
ejpam-520	181	4	1	1	NUM
ejpam-520	181	5	2	2	NUM
ejpam-520	181	6	,	,	PUNCT
ejpam-520	181	7	z	z	PROPN
ejpam-520	181	8	∈	∈	PROPN
ejpam-520	181	9	u	u	NOUN
ejpam-520	181	10	,	,	PUNCT
ejpam-520	181	11	then	then	ADV
ejpam-520	181	12	re	re	VERB
ejpam-520	181	13	�	�	PROPN
ejpam-520	181	14	f	f	PROPN
ejpam-520	181	15	′(z	′(z	ADV
ejpam-520	181	16	)	)	PUNCT
ejpam-520	182	1	+	+	CCONJ
ejpam-520	182	2	z	z	NOUN
ejpam-520	182	3	f	f	NOUN
ejpam-520	182	4	′′(z	′′(z	PROPN
ejpam-520	182	5	)	)	PUNCT
ejpam-520	182	6	2	2	NUM
ejpam-520	182	7	�	�	X
ejpam-520	182	8	>	>	X
ejpam-520	182	9	1	1	NUM
ejpam-520	182	10	2	2	NUM
ejpam-520	182	11	,	,	PUNCT
ejpam-520	182	12	z	z	NOUN
ejpam-520	182	13	∈	∈	PROPN
ejpam-520	182	14	u	u	NOUN
ejpam-520	182	15	.	.	PUNCT
ejpam-520	183	1	choosing	choose	VERB
ejpam-520	183	2	l	l	NOUN
ejpam-520	183	3	=	=	SYM
ejpam-520	183	4	2	2	NUM
ejpam-520	183	5	and	and	CCONJ
ejpam-520	183	6	m=	m=	X
ejpam-520	183	7	1	1	NUM
ejpam-520	183	8	with	with	ADP
ejpam-520	183	9	α1	α1	PROPN
ejpam-520	183	10	=	=	SYM
ejpam-520	183	11	1	1	NUM
ejpam-520	183	12	,	,	PUNCT
ejpam-520	183	13	α2	α2	NOUN
ejpam-520	183	14	=	=	SYM
ejpam-520	183	15	1	1	NUM
ejpam-520	183	16	,	,	PUNCT
ejpam-520	183	17	β1	β1	PROPN
ejpam-520	183	18	=	=	SYM
ejpam-520	183	19	1	1	NUM
ejpam-520	183	20	,	,	PUNCT
ejpam-520	183	21	δ	δ	PROPN
ejpam-520	183	22	=	=	SYM
ejpam-520	183	23	1	1	NUM
ejpam-520	183	24	and	and	CCONJ
ejpam-520	183	25	α	α	NOUN
ejpam-520	183	26	=	=	SYM
ejpam-520	183	27	1	1	NUM
ejpam-520	183	28	2	2	NUM
ejpam-520	183	29	we	we	PRON
ejpam-520	183	30	have	have	VERB
ejpam-520	183	31	corollary	corollary	ADJ
ejpam-520	183	32	7	7	NUM
ejpam-520	183	33	.	.	PUNCT
ejpam-520	184	1	if	if	SCONJ
ejpam-520	184	2	f	f	PROPN
ejpam-520	184	3	∈a	∈a	VERB
ejpam-520	184	4	and	and	CCONJ
ejpam-520	184	5	re	re	ADJ
ejpam-520	184	6	�	�	PROPN
ejpam-520	184	7	z	z	PROPN
ejpam-520	184	8	f	f	PROPN
ejpam-520	184	9	′′(z	′′(z	PROPN
ejpam-520	184	10	)	)	PUNCT
ejpam-520	184	11	f	f	PROPN
ejpam-520	184	12	′(z	′(z	NOUN
ejpam-520	184	13	)	)	PUNCT
ejpam-520	184	14	−	−	PROPN
ejpam-520	185	1	z	z	NOUN
ejpam-520	185	2	f	f	PROPN
ejpam-520	185	3	′(z	′(z	NOUN
ejpam-520	185	4	)	)	PUNCT
ejpam-520	185	5	f	f	PROPN
ejpam-520	185	6	(	(	PUNCT
ejpam-520	185	7	z	z	NOUN
ejpam-520	185	8	)	)	PUNCT
ejpam-520	185	9	�	�	PROPN
ejpam-520	185	10	>	>	X
ejpam-520	185	11	−3	−3	PROPN
ejpam-520	185	12	2	2	NUM
ejpam-520	185	13	,	,	PUNCT
ejpam-520	185	14	z	z	PROPN
ejpam-520	185	15	∈	∈	PROPN
ejpam-520	185	16	u	u	NOUN
ejpam-520	185	17	,	,	PUNCT
ejpam-520	185	18	then	then	ADV
ejpam-520	185	19	re	re	VERB
ejpam-520	185	20	�	�	PROPN
ejpam-520	185	21	z	z	PROPN
ejpam-520	185	22	f	f	PROPN
ejpam-520	185	23	′(z	′(z	NOUN
ejpam-520	185	24	)	)	PUNCT
ejpam-520	185	25	f	f	PROPN
ejpam-520	185	26	(	(	PUNCT
ejpam-520	185	27	z	z	NOUN
ejpam-520	185	28	)	)	PUNCT
ejpam-520	185	29	�	�	PROPN
ejpam-520	185	30	>	>	X
ejpam-520	185	31	1	1	NUM
ejpam-520	185	32	2	2	NUM
ejpam-520	185	33	,	,	PUNCT
ejpam-520	185	34	z	z	NOUN
ejpam-520	185	35	∈	∈	PROPN
ejpam-520	185	36	u	u	NOUN
ejpam-520	185	37	.	.	PUNCT
ejpam-520	186	1	that	that	PRON
ejpam-520	186	2	is	be	AUX
ejpam-520	186	3	,	,	PUNCT
ejpam-520	186	4	f	f	PROPN
ejpam-520	186	5	(	(	PUNCT
ejpam-520	186	6	z	z	NOUN
ejpam-520	186	7	)	)	PUNCT
ejpam-520	186	8	is	be	AUX
ejpam-520	186	9	starlike	starlike	NOUN
ejpam-520	186	10	of	of	ADP
ejpam-520	186	11	order	order	NOUN
ejpam-520	186	12	1/2	1/2	NUM
ejpam-520	186	13	.	.	PUNCT
ejpam-520	187	1	choosing	choose	VERB
ejpam-520	187	2	l	l	NOUN
ejpam-520	187	3	=	=	SYM
ejpam-520	187	4	2	2	NUM
ejpam-520	187	5	and	and	CCONJ
ejpam-520	187	6	m=	m=	X
ejpam-520	187	7	1	1	NUM
ejpam-520	187	8	with	with	ADP
ejpam-520	187	9	α1	α1	PROPN
ejpam-520	187	10	=	=	SYM
ejpam-520	187	11	1	1	NUM
ejpam-520	187	12	,	,	PUNCT
ejpam-520	187	13	α2	α2	NOUN
ejpam-520	187	14	=	=	SYM
ejpam-520	187	15	1	1	NUM
ejpam-520	187	16	,	,	PUNCT
ejpam-520	187	17	β1	β1	PROPN
ejpam-520	187	18	=	=	SYM
ejpam-520	187	19	1	1	NUM
ejpam-520	187	20	,	,	PUNCT
ejpam-520	187	21	δ	δ	X
ejpam-520	187	22	=	=	SYM
ejpam-520	187	23	0	0	NUM
ejpam-520	187	24	and	and	CCONJ
ejpam-520	187	25	α	α	NOUN
ejpam-520	187	26	=	=	NOUN
ejpam-520	187	27	1	1	NUM
ejpam-520	187	28	2	2	NUM
ejpam-520	187	29	we	we	PRON
ejpam-520	187	30	have	have	VERB
ejpam-520	187	31	corollary	corollary	ADJ
ejpam-520	187	32	8	8	NUM
ejpam-520	187	33	.	.	PUNCT
ejpam-520	188	1	if	if	SCONJ
ejpam-520	188	2	f	f	PROPN
ejpam-520	188	3	∈a	∈a	VERB
ejpam-520	188	4	and	and	CCONJ
ejpam-520	188	5	re	re	ADJ
ejpam-520	188	6	�	�	PROPN
ejpam-520	188	7	1	1	NUM
ejpam-520	188	8	+	+	PROPN
ejpam-520	188	9	z	z	PROPN
ejpam-520	188	10	f	f	NOUN
ejpam-520	188	11	′′(z	′′(z	PROPN
ejpam-520	188	12	)	)	PUNCT
ejpam-520	188	13	f	f	PROPN
ejpam-520	188	14	′(z	′(z	NOUN
ejpam-520	188	15	)	)	PUNCT
ejpam-520	188	16	�	�	PROPN
ejpam-520	188	17	>	>	X
ejpam-520	188	18	1	1	NUM
ejpam-520	188	19	2	2	NUM
ejpam-520	188	20	,	,	PUNCT
ejpam-520	188	21	z	z	PROPN
ejpam-520	188	22	∈	∈	PROPN
ejpam-520	188	23	u	u	NOUN
ejpam-520	188	24	then	then	ADV
ejpam-520	188	25	re	re	VERB
ejpam-520	188	26	�	�	PROPN
ejpam-520	188	27	f	f	PROPN
ejpam-520	188	28	′(z	′(z	PROPN
ejpam-520	188	29	)	)	PUNCT
ejpam-520	188	30	>	>	X
ejpam-520	188	31	1	1	NUM
ejpam-520	188	32	2	2	NUM
ejpam-520	188	33	,	,	PUNCT
ejpam-520	188	34	z	z	NOUN
ejpam-520	188	35	∈	∈	PROPN
ejpam-520	188	36	u	u	NOUN
ejpam-520	188	37	.	.	PUNCT
ejpam-520	189	1	that	that	PRON
ejpam-520	189	2	is	be	AUX
ejpam-520	189	3	f	f	PROPN
ejpam-520	189	4	(	(	PUNCT
ejpam-520	189	5	z	z	NOUN
ejpam-520	189	6	)	)	PUNCT
ejpam-520	189	7	∈	∈	PROPN
ejpam-520	189	8	b(0,1/2	b(0,1/2	PROPN
ejpam-520	189	9	)	)	PUNCT
ejpam-520	189	10	=	=	PUNCT
ejpam-520	189	11	r1/2	r1/2	PROPN
ejpam-520	189	12	.	.	PUNCT
ejpam-520	190	1	acknowledgements	acknowledgement	VERB
ejpam-520	190	2	the	the	DET
ejpam-520	190	3	authors	author	NOUN
ejpam-520	190	4	would	would	AUX
ejpam-520	190	5	like	like	VERB
ejpam-520	190	6	to	to	PART
ejpam-520	190	7	thank	thank	VERB
ejpam-520	190	8	the	the	DET
ejpam-520	190	9	referee(s	referee(s	NOUN
ejpam-520	190	10	)	)	PUNCT
ejpam-520	190	11	for	for	ADP
ejpam-520	190	12	their	their	PRON
ejpam-520	190	13	insightful	insightful	ADJ
ejpam-520	190	14	comments	comment	NOUN
ejpam-520	190	15	and	and	CCONJ
ejpam-520	190	16	suggestions	suggestion	NOUN
ejpam-520	190	17	.	.	PUNCT
ejpam-520	191	1	references	reference	NOUN
ejpam-520	191	2	82	82	NUM
ejpam-520	191	3	references	reference	NOUN
ejpam-520	191	4	[	[	X
ejpam-520	191	5	1	1	X
ejpam-520	191	6	]	]	PUNCT
ejpam-520	191	7	s.	s.	PROPN
ejpam-520	191	8	d.	d.	PROPN
ejpam-520	191	9	bernardi	bernardi	PROPN
ejpam-520	191	10	.	.	PUNCT
ejpam-520	192	1	convex	convex	PROPN
ejpam-520	192	2	and	and	CCONJ
ejpam-520	192	3	starlike	starlike	NOUN
ejpam-520	192	4	univalent	univalent	ADJ
ejpam-520	192	5	functions	function	NOUN
ejpam-520	192	6	.	.	PUNCT
ejpam-520	193	1	trans	trans	PROPN
ejpam-520	193	2	.	.	PUNCT
ejpam-520	194	1	amer	amer	PROPN
ejpam-520	194	2	.	.	PUNCT
ejpam-520	194	3	math	math	PROPN
ejpam-520	194	4	.	.	PUNCT
ejpam-520	195	1	soc	soc	PROPN
ejpam-520	195	2	.	.	PUNCT
ejpam-520	195	3	,	,	PUNCT
ejpam-520	195	4	135:429	135:429	NOUN
ejpam-520	195	5	–	–	PUNCT
ejpam-520	195	6	ű446	ű446	NOUN
ejpam-520	195	7	,	,	PUNCT
ejpam-520	195	8	1969	1969	NUM
ejpam-520	195	9	.	.	PUNCT
ejpam-520	196	1	[	[	X
ejpam-520	196	2	2	2	NUM
ejpam-520	196	3	]	]	X
ejpam-520	196	4	b.	b.	PROPN
ejpam-520	196	5	c.	c.	PROPN
ejpam-520	196	6	carlson	carlson	PROPN
ejpam-520	196	7	and	and	CCONJ
ejpam-520	196	8	s.	s.	PROPN
ejpam-520	196	9	b.	b.	PROPN
ejpam-520	196	10	shaffer	shaffer	PROPN
ejpam-520	196	11	.	.	PUNCT
ejpam-520	197	1	starlike	starlike	NOUN
ejpam-520	197	2	and	and	CCONJ
ejpam-520	197	3	prestarlike	prestarlike	ADJ
ejpam-520	197	4	hypergeometric	hypergeometric	ADJ
ejpam-520	197	5	functions	function	NOUN
ejpam-520	197	6	.	.	PUNCT
ejpam-520	198	1	siam	siam	PROPN
ejpam-520	198	2	j.	j.	PROPN
ejpam-520	198	3	math	math	PROPN
ejpam-520	198	4	.	.	PUNCT
ejpam-520	199	1	anal	anal	PROPN
ejpam-520	199	2	.	.	PROPN
ejpam-520	199	3	,	,	PUNCT
ejpam-520	199	4	15:737	15:737	NUM
ejpam-520	199	5	–	–	PUNCT
ejpam-520	199	6	ű745	ű745	NUM
ejpam-520	199	7	,	,	PUNCT
ejpam-520	199	8	1984	1984	NUM
ejpam-520	199	9	.	.	PUNCT
ejpam-520	200	1	[	[	X
ejpam-520	200	2	3	3	X
ejpam-520	200	3	]	]	X
ejpam-520	200	4	j.	j.	PROPN
ejpam-520	200	5	dziok	dziok	PROPN
ejpam-520	200	6	and	and	CCONJ
ejpam-520	200	7	h.	h.	PROPN
ejpam-520	200	8	m.	m.	PROPN
ejpam-520	200	9	srivastava	srivastava	PROPN
ejpam-520	200	10	.	.	PUNCT
ejpam-520	201	1	certain	certain	ADJ
ejpam-520	201	2	subclasses	subclass	NOUN
ejpam-520	201	3	of	of	ADP
ejpam-520	201	4	analytic	analytic	ADJ
ejpam-520	201	5	functions	function	NOUN
ejpam-520	201	6	associated	associate	VERB
ejpam-520	201	7	with	with	ADP
ejpam-520	201	8	the	the	DET
ejpam-520	201	9	generalized	generalize	VERB
ejpam-520	201	10	hypergeometric	hypergeometric	ADJ
ejpam-520	201	11	function	function	NOUN
ejpam-520	201	12	.	.	PUNCT
ejpam-520	202	1	intergral	intergral	ADJ
ejpam-520	202	2	transform	transform	VERB
ejpam-520	202	3	spec	spec	PROPN
ejpam-520	202	4	.	.	PUNCT
ejpam-520	203	1	funct	funct	PROPN
ejpam-520	203	2	.	.	PUNCT
ejpam-520	203	3	,	,	PUNCT
ejpam-520	203	4	14:7	14:7	NUM
ejpam-520	203	5	–	–	PUNCT
ejpam-520	203	6	ű18	ű18	ADJ
ejpam-520	203	7	,	,	PUNCT
ejpam-520	203	8	2003	2003	NUM
ejpam-520	203	9	.	.	PUNCT
ejpam-520	204	1	[	[	X
ejpam-520	204	2	4	4	NUM
ejpam-520	204	3	]	]	X
ejpam-520	204	4	b.a	b.a	PROPN
ejpam-520	204	5	.	.	PROPN
ejpam-520	204	6	frasin	frasin	PROPN
ejpam-520	204	7	and	and	CCONJ
ejpam-520	204	8	m.	m.	NOUN
ejpam-520	204	9	darus	darus	NOUN
ejpam-520	204	10	.	.	PUNCT
ejpam-520	205	1	on	on	ADP
ejpam-520	205	2	certain	certain	ADJ
ejpam-520	205	3	analytic	analytic	ADJ
ejpam-520	205	4	univalent	univalent	ADJ
ejpam-520	205	5	functions	function	NOUN
ejpam-520	205	6	.	.	PUNCT
ejpam-520	206	1	internat	internat	PROPN
ejpam-520	206	2	.	.	PUNCT
ejpam-520	207	1	j.	j.	PROPN
ejpam-520	207	2	math	math	PROPN
ejpam-520	207	3	.	.	PUNCT
ejpam-520	208	1	and	and	CCONJ
ejpam-520	208	2	math	math	NOUN
ejpam-520	208	3	.	.	PUNCT
ejpam-520	209	1	sci	sci	PROPN
ejpam-520	209	2	.	.	PROPN
ejpam-520	209	3	,	,	PUNCT
ejpam-520	210	1	25(5):305	25(5):305	NOUN
ejpam-520	210	2	–	–	PUNCT
ejpam-520	210	3	ű310	ű310	NUM
ejpam-520	210	4	,	,	PUNCT
ejpam-520	210	5	2001	2001	NUM
ejpam-520	210	6	.	.	PUNCT
ejpam-520	211	1	[	[	X
ejpam-520	211	2	5	5	NUM
ejpam-520	211	3	]	]	X
ejpam-520	211	4	b.a	b.a	PROPN
ejpam-520	211	5	.	.	PROPN
ejpam-520	211	6	frasin	frasin	PROPN
ejpam-520	211	7	and	and	CCONJ
ejpam-520	211	8	jay	jay	PROPN
ejpam-520	211	9	m.	m.	NOUN
ejpam-520	211	10	jahangiri	jahangiri	PROPN
ejpam-520	211	11	.	.	PUNCT
ejpam-520	212	1	a	a	DET
ejpam-520	212	2	new	new	ADJ
ejpam-520	212	3	and	and	CCONJ
ejpam-520	212	4	comprehensive	comprehensive	ADJ
ejpam-520	212	5	class	class	NOUN
ejpam-520	212	6	of	of	ADP
ejpam-520	212	7	analytic	analytic	ADJ
ejpam-520	212	8	functions	function	NOUN
ejpam-520	212	9	.	.	PUNCT
ejpam-520	213	1	analele	analele	PROPN
ejpam-520	213	2	univ	univ	PROPN
ejpam-520	213	3	.	.	PUNCT
ejpam-520	213	4	oradea	oradea	PROPN
ejpam-520	213	5	,	,	PUNCT
ejpam-520	213	6	xv:61ű–64	xv:61ű–64	PROPN
ejpam-520	213	7	,	,	PUNCT
ejpam-520	213	8	2008	2008	NUM
ejpam-520	213	9	.	.	PUNCT
ejpam-520	214	1	[	[	X
ejpam-520	214	2	6	6	NUM
ejpam-520	214	3	]	]	PUNCT
ejpam-520	214	4	r.	r.	PROPN
ejpam-520	214	5	j.	j.	PROPN
ejpam-520	214	6	libera	libera	PROPN
ejpam-520	214	7	.	.	PUNCT
ejpam-520	215	1	some	some	DET
ejpam-520	215	2	classes	class	NOUN
ejpam-520	215	3	of	of	ADP
ejpam-520	215	4	regular	regular	ADJ
ejpam-520	215	5	univalent	univalent	ADJ
ejpam-520	215	6	functions	function	NOUN
ejpam-520	215	7	.	.	PUNCT
ejpam-520	216	1	proc	proc	NOUN
ejpam-520	216	2	.	.	PUNCT
ejpam-520	217	1	amer	amer	PROPN
ejpam-520	217	2	.	.	PUNCT
ejpam-520	217	3	math	math	PROPN
ejpam-520	217	4	.	.	PUNCT
ejpam-520	218	1	soc	soc	PROPN
ejpam-520	218	2	.	.	PUNCT
ejpam-520	218	3	,	,	PUNCT
ejpam-520	218	4	16:755	16:755	NUM
ejpam-520	218	5	–	–	PUNCT
ejpam-520	218	6	758	758	NUM
ejpam-520	218	7	,	,	PUNCT
ejpam-520	218	8	1965	1965	NUM
ejpam-520	218	9	.	.	PUNCT
ejpam-520	219	1	[	[	X
ejpam-520	219	2	7	7	NUM
ejpam-520	219	3	]	]	PUNCT
ejpam-520	219	4	a.	a.	PROPN
ejpam-520	219	5	e.	e.	PROPN
ejpam-520	219	6	livingston	livingston	PROPN
ejpam-520	219	7	.	.	PUNCT
ejpam-520	220	1	on	on	ADP
ejpam-520	220	2	the	the	DET
ejpam-520	220	3	radius	radius	NOUN
ejpam-520	220	4	of	of	ADP
ejpam-520	220	5	univalence	univalence	NOUN
ejpam-520	220	6	of	of	ADP
ejpam-520	220	7	certain	certain	ADJ
ejpam-520	220	8	analytic	analytic	ADJ
ejpam-520	220	9	functions	function	NOUN
ejpam-520	220	10	.	.	PUNCT
ejpam-520	221	1	proc	proc	NOUN
ejpam-520	221	2	.	.	PUNCT
ejpam-520	222	1	amer	amer	PROPN
ejpam-520	222	2	.	.	PUNCT
ejpam-520	222	3	math	math	PROPN
ejpam-520	222	4	.	.	PUNCT
ejpam-520	223	1	soc	soc	PROPN
ejpam-520	223	2	.	.	PUNCT
ejpam-520	223	3	,	,	PUNCT
ejpam-520	223	4	17:352–357	17:352–357	NUM
ejpam-520	223	5	,	,	PUNCT
ejpam-520	223	6	1966	1966	NUM
ejpam-520	223	7	.	.	PUNCT
ejpam-520	224	1	[	[	X
ejpam-520	224	2	8	8	NUM
ejpam-520	224	3	]	]	X
ejpam-520	224	4	st	st	PROPN
ejpam-520	224	5	.	.	PROPN
ejpam-520	224	6	ruscheweyh	ruscheweyh	PROPN
ejpam-520	224	7	.	.	PUNCT
ejpam-520	225	1	new	new	ADJ
ejpam-520	225	2	criteria	criterion	NOUN
ejpam-520	225	3	for	for	ADP
ejpam-520	225	4	univalent	univalent	ADJ
ejpam-520	225	5	functions	function	NOUN
ejpam-520	225	6	.	.	PUNCT
ejpam-520	226	1	proc	proc	NOUN
ejpam-520	226	2	.	.	PUNCT
ejpam-520	227	1	amer	amer	PROPN
ejpam-520	227	2	.	.	PUNCT
ejpam-520	227	3	math	math	PROPN
ejpam-520	227	4	.	.	PUNCT
ejpam-520	228	1	soc	soc	PROPN
ejpam-520	228	2	.	.	PUNCT
ejpam-520	228	3	,	,	PUNCT
ejpam-520	228	4	49:109–115	49:109–115	PROPN
ejpam-520	228	5	,	,	PUNCT
ejpam-520	228	6	1975	1975	NUM
ejpam-520	228	7	.	.	PUNCT
ejpam-520	229	1	[	[	X
ejpam-520	229	2	9	9	NUM
ejpam-520	229	3	]	]	X
ejpam-520	229	4	h.	h.	PROPN
ejpam-520	229	5	m.	m.	PROPN
ejpam-520	229	6	srivastava	srivastava	PROPN
ejpam-520	229	7	and	and	CCONJ
ejpam-520	229	8	s.	s.	PROPN
ejpam-520	229	9	owa	owa	PROPN
ejpam-520	229	10	.	.	PUNCT
ejpam-520	230	1	some	some	DET
ejpam-520	230	2	characterization	characterization	NOUN
ejpam-520	230	3	and	and	CCONJ
ejpam-520	230	4	distortion	distortion	NOUN
ejpam-520	230	5	theorems	theorem	NOUN
ejpam-520	230	6	involving	involve	VERB
ejpam-520	230	7	fractional	fractional	ADJ
ejpam-520	230	8	calculus	calculus	NOUN
ejpam-520	230	9	,	,	PUNCT
ejpam-520	230	10	generalized	generalized	ADJ
ejpam-520	230	11	hypergeometric	hypergeometric	ADJ
ejpam-520	230	12	functions	function	NOUN
ejpam-520	230	13	,	,	PUNCT
ejpam-520	230	14	hadamard	hadamard	ADJ
ejpam-520	230	15	products	product	NOUN
ejpam-520	230	16	,	,	PUNCT
ejpam-520	230	17	linear	linear	PROPN
ejpam-520	230	18	operators	operator	NOUN
ejpam-520	230	19	and	and	CCONJ
ejpam-520	230	20	certain	certain	ADJ
ejpam-520	230	21	subclasses	subclass	NOUN
ejpam-520	230	22	of	of	ADP
ejpam-520	230	23	analytic	analytic	ADJ
ejpam-520	230	24	functions	function	NOUN
ejpam-520	230	25	.	.	PUNCT
ejpam-520	231	1	nagoya	nagoya	PROPN
ejpam-520	231	2	math	math	PROPN
ejpam-520	231	3	.	.	PUNCT
ejpam-520	232	1	j.	j.	PROPN
ejpam-520	232	2	,	,	PUNCT
ejpam-520	232	3	106:1–28	106:1–28	PRON
ejpam-520	232	4	,	,	PUNCT
ejpam-520	232	5	1987	1987	NUM
ejpam-520	232	6	.	.	PUNCT