id	sid	tid	token	lemma	pos
ejpam-135	1	1	6_murugusundaramoorthy.dvi	6_murugusundaramoorthy.dvi	NUM
ejpam-135	1	2	european	european	ADJ
ejpam-135	1	3	journal	journal	NOUN
ejpam-135	1	4	of	of	ADP
ejpam-135	1	5	pure	pure	ADJ
ejpam-135	1	6	and	and	CCONJ
ejpam-135	1	7	applied	apply	VERB
ejpam-135	1	8	mathematics	mathematic	NOUN
ejpam-135	1	9	vol	vol	NOUN
ejpam-135	1	10	.	.	PROPN
ejpam-135	2	1	2	2	NUM
ejpam-135	2	2	,	,	PUNCT
ejpam-135	2	3	no	no	INTJ
ejpam-135	2	4	.	.	NOUN
ejpam-135	2	5	2	2	NUM
ejpam-135	2	6	,	,	PUNCT
ejpam-135	2	7	2009	2009	NUM
ejpam-135	2	8	,	,	PUNCT
ejpam-135	2	9	(	(	PUNCT
ejpam-135	2	10	239	239	NUM
ejpam-135	2	11	-	-	SYM
ejpam-135	2	12	249	249	NUM
ejpam-135	2	13	)	)	PUNCT
ejpam-135	2	14	issn	issn	PROPN
ejpam-135	2	15	1307	1307	NUM
ejpam-135	2	16	-	-	SYM
ejpam-135	2	17	5543	5543	NUM
ejpam-135	2	18	–	–	PUNCT
ejpam-135	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-135	2	20	subordination	subordination	NOUN
ejpam-135	2	21	results	result	VERB
ejpam-135	2	22	for	for	ADP
ejpam-135	2	23	spirallike	spirallike	ADJ
ejpam-135	2	24	functions	function	NOUN
ejpam-135	2	25	g.	g.	PROPN
ejpam-135	2	26	murugusundaramoorthy1∗	murugusundaramoorthy1∗	PROPN
ejpam-135	2	27	and	and	CCONJ
ejpam-135	2	28	n.	n.	NOUN
ejpam-135	2	29	magesh2	magesh2	NOUN
ejpam-135	2	30	1	1	NUM
ejpam-135	2	31	school	school	NOUN
ejpam-135	2	32	of	of	ADP
ejpam-135	2	33	science	science	NOUN
ejpam-135	2	34	and	and	CCONJ
ejpam-135	2	35	humanities	humanity	NOUN
ejpam-135	2	36	,	,	PUNCT
ejpam-135	2	37	vit	vit	PROPN
ejpam-135	2	38	university	university	NOUN
ejpam-135	2	39	,	,	PUNCT
ejpam-135	2	40	vellore	vellore	NOUN
ejpam-135	2	41	632014	632014	NUM
ejpam-135	2	42	,	,	PUNCT
ejpam-135	2	43	india	india	PROPN
ejpam-135	2	44	2	2	NUM
ejpam-135	2	45	department	department	NOUN
ejpam-135	2	46	of	of	ADP
ejpam-135	2	47	mathematics	mathematic	NOUN
ejpam-135	2	48	,	,	PUNCT
ejpam-135	2	49	adhiyamaan	adhiyamaan	PROPN
ejpam-135	2	50	college	college	PROPN
ejpam-135	2	51	of	of	ADP
ejpam-135	2	52	engineering	engineering	PROPN
ejpam-135	2	53	,	,	PUNCT
ejpam-135	2	54	hosur	hosur	PROPN
ejpam-135	2	55	635109	635109	NUM
ejpam-135	2	56	,	,	PUNCT
ejpam-135	2	57	india	india	PROPN
ejpam-135	2	58	abstract	abstract	NOUN
ejpam-135	2	59	.	.	PUNCT
ejpam-135	3	1	in	in	ADP
ejpam-135	3	2	this	this	DET
ejpam-135	3	3	paper	paper	NOUN
ejpam-135	3	4	,	,	PUNCT
ejpam-135	3	5	we	we	PRON
ejpam-135	3	6	introduce	introduce	VERB
ejpam-135	3	7	a	a	DET
ejpam-135	3	8	new	new	ADJ
ejpam-135	3	9	class	class	NOUN
ejpam-135	3	10	of	of	ADP
ejpam-135	3	11	functions	function	NOUN
ejpam-135	3	12	which	which	PRON
ejpam-135	3	13	is	be	AUX
ejpam-135	3	14	defined	define	VERB
ejpam-135	3	15	by	by	ADP
ejpam-135	3	16	dzioksrivastava	dzioksrivastava	NOUN
ejpam-135	3	17	operator	operator	NOUN
ejpam-135	3	18	and	and	CCONJ
ejpam-135	3	19	obtain	obtain	VERB
ejpam-135	3	20	the	the	DET
ejpam-135	3	21	subordination	subordination	NOUN
ejpam-135	3	22	results	result	NOUN
ejpam-135	3	23	for	for	ADP
ejpam-135	3	24	this	this	DET
ejpam-135	3	25	class	class	NOUN
ejpam-135	3	26	of	of	ADP
ejpam-135	3	27	functions	function	NOUN
ejpam-135	3	28	.	.	PUNCT
ejpam-135	4	1	some	some	DET
ejpam-135	4	2	known	known	ADJ
ejpam-135	4	3	and	and	CCONJ
ejpam-135	4	4	new	new	ADJ
ejpam-135	4	5	results	result	NOUN
ejpam-135	4	6	,	,	PUNCT
ejpam-135	4	7	which	which	PRON
ejpam-135	4	8	follow	follow	VERB
ejpam-135	4	9	as	as	ADP
ejpam-135	4	10	special	special	ADJ
ejpam-135	4	11	cases	case	NOUN
ejpam-135	4	12	of	of	ADP
ejpam-135	4	13	our	our	PRON
ejpam-135	4	14	results	result	NOUN
ejpam-135	4	15	,	,	PUNCT
ejpam-135	4	16	have	have	AUX
ejpam-135	4	17	also	also	ADV
ejpam-135	4	18	been	be	AUX
ejpam-135	4	19	mentioned	mention	VERB
ejpam-135	4	20	.	.	PUNCT
ejpam-135	5	1	ams	am	NOUN
ejpam-135	5	2	subject	subject	ADJ
ejpam-135	5	3	classifications	classification	NOUN
ejpam-135	5	4	:	:	PUNCT
ejpam-135	5	5	30c45	30c45	NUM
ejpam-135	5	6	key	key	ADJ
ejpam-135	5	7	words	word	NOUN
ejpam-135	5	8	:	:	PUNCT
ejpam-135	5	9	univalent	univalent	ADJ
ejpam-135	5	10	functions	function	NOUN
ejpam-135	5	11	,	,	PUNCT
ejpam-135	5	12	starlike	starlike	NOUN
ejpam-135	5	13	functions	function	NOUN
ejpam-135	5	14	,	,	PUNCT
ejpam-135	5	15	convex	convex	NOUN
ejpam-135	5	16	functions	function	NOUN
ejpam-135	5	17	,	,	PUNCT
ejpam-135	5	18	spirallike	spirallike	ADJ
ejpam-135	5	19	functions	function	NOUN
ejpam-135	5	20	,	,	PUNCT
ejpam-135	5	21	subordinating	subordinating	NOUN
ejpam-135	5	22	factor	factor	NOUN
ejpam-135	5	23	sequence	sequence	NOUN
ejpam-135	5	24	,	,	PUNCT
ejpam-135	5	25	hadamard	hadamard	ADJ
ejpam-135	5	26	product	product	NOUN
ejpam-135	5	27	,	,	PUNCT
ejpam-135	5	28	generalized	generalize	VERB
ejpam-135	5	29	hypergeometric	hypergeometric	ADJ
ejpam-135	5	30	functions	function	NOUN
ejpam-135	5	31	.	.	PUNCT
ejpam-135	6	1	1	1	X
ejpam-135	6	2	.	.	X
ejpam-135	6	3	introduction	introduction	NOUN
ejpam-135	6	4	let	let	VERB
ejpam-135	6	5	a	a	DET
ejpam-135	6	6	denote	denote	NOUN
ejpam-135	6	7	the	the	DET
ejpam-135	6	8	class	class	NOUN
ejpam-135	6	9	of	of	ADP
ejpam-135	6	10	functions	function	NOUN
ejpam-135	6	11	of	of	ADP
ejpam-135	6	12	the	the	DET
ejpam-135	6	13	form	form	NOUN
ejpam-135	6	14	f	f	X
ejpam-135	6	15	(	(	PUNCT
ejpam-135	6	16	z	z	NOUN
ejpam-135	6	17	)	)	PUNCT
ejpam-135	6	18	=	=	SYM
ejpam-135	6	19	z+	z+	NUM
ejpam-135	6	20	∞	∞	PROPN
ejpam-135	6	21	∑	∑	PUNCT
ejpam-135	6	22	n=2	n=2	PRON
ejpam-135	6	23	anzn	anzn	NOUN
ejpam-135	6	24	(	(	PUNCT
ejpam-135	6	25	1.1	1.1	NUM
ejpam-135	6	26	)	)	PUNCT
ejpam-135	6	27	∗corresponding	∗corresponde	VERB
ejpam-135	6	28	author	author	NOUN
ejpam-135	6	29	.	.	PUNCT
ejpam-135	7	1	email	email	NOUN
ejpam-135	7	2	addresses	address	NOUN
ejpam-135	7	3	:	:	PUNCT
ejpam-135	7	4	gmsmoorthy	gmsmoorthy	PROPN
ejpam-135	7	5	�	�	PROPN
ejpam-135	7	6	yahoo	yahoo	PROPN
ejpam-135	7	7	.	.	PUNCT
ejpam-135	8	1	om	om	PROPN
ejpam-135	8	2	(	(	PUNCT
ejpam-135	8	3	g.	g.	PROPN
ejpam-135	8	4	murugusundaramoorthy),nmagi_2000	murugusundaramoorthy),nmagi_2000	PROPN
ejpam-135	8	5	�	�	PROPN
ejpam-135	8	6	yahoo	yahoo	PROPN
ejpam-135	8	7	.	.	PUNCT
ejpam-135	9	1	o.in	o.in	PROPN
ejpam-135	9	2	(	(	PUNCT
ejpam-135	9	3	n.	n.	PROPN
ejpam-135	9	4	magesh	magesh	PROPN
ejpam-135	9	5	)	)	PUNCT
ejpam-135	9	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-135	10	1	239	239	NUM
ejpam-135	10	2	c	c	NOUN
ejpam-135	10	3	©	©	PROPN
ejpam-135	10	4	2009	2009	NUM
ejpam-135	10	5	ejpam	ejpam	NOUN
ejpam-135	10	6	all	all	DET
ejpam-135	10	7	rights	right	NOUN
ejpam-135	10	8	reserved	reserve	VERB
ejpam-135	10	9	.	.	PUNCT
ejpam-135	11	1	g.	g.	PROPN
ejpam-135	11	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-135	11	3	and	and	CCONJ
ejpam-135	11	4	n.	n.	PROPN
ejpam-135	11	5	magesh	magesh	PROPN
ejpam-135	11	6	/	/	SYM
ejpam-135	11	7	eur	eur	PROPN
ejpam-135	11	8	.	.	PUNCT
ejpam-135	12	1	j.	j.	PROPN
ejpam-135	12	2	pure	pure	PROPN
ejpam-135	12	3	appl	appl	PROPN
ejpam-135	12	4	.	.	PROPN
ejpam-135	12	5	math	math	PROPN
ejpam-135	12	6	,	,	PUNCT
ejpam-135	12	7	2	2	NUM
ejpam-135	12	8	(	(	PUNCT
ejpam-135	12	9	2009	2009	NUM
ejpam-135	12	10	)	)	PUNCT
ejpam-135	12	11	,	,	PUNCT
ejpam-135	12	12	(	(	PUNCT
ejpam-135	12	13	239	239	NUM
ejpam-135	12	14	-	-	SYM
ejpam-135	12	15	249	249	NUM
ejpam-135	12	16	)	)	PUNCT
ejpam-135	12	17	240	240	NUM
ejpam-135	12	18	which	which	PRON
ejpam-135	12	19	are	be	AUX
ejpam-135	12	20	analytic	analytic	ADJ
ejpam-135	12	21	and	and	CCONJ
ejpam-135	12	22	univalent	univalent	ADJ
ejpam-135	12	23	in	in	ADP
ejpam-135	12	24	the	the	DET
ejpam-135	12	25	open	open	ADJ
ejpam-135	12	26	disc	disc	NOUN
ejpam-135	12	27	u	u	NOUN
ejpam-135	12	28	=	=	PUNCT
ejpam-135	12	29	{	{	PUNCT
ejpam-135	12	30	z	z	NOUN
ejpam-135	12	31	:	:	PUNCT
ejpam-135	12	32	|z|	|z|	NOUN
ejpam-135	12	33	<	<	X
ejpam-135	12	34	1	1	NUM
ejpam-135	12	35	}	}	PUNCT
ejpam-135	12	36	.	.	PUNCT
ejpam-135	13	1	for	for	ADP
ejpam-135	13	2	functions	function	NOUN
ejpam-135	13	3	f	f	PROPN
ejpam-135	13	4	∈	∈	PROPN
ejpam-135	13	5	a	a	DET
ejpam-135	13	6	given	give	VERB
ejpam-135	13	7	by	by	ADP
ejpam-135	13	8	(	(	PUNCT
ejpam-135	13	9	1.1	1.1	NUM
ejpam-135	13	10	)	)	PUNCT
ejpam-135	13	11	and	and	CCONJ
ejpam-135	13	12	g	g	PROPN
ejpam-135	13	13	∈	∈	PROPN
ejpam-135	13	14	a	a	DET
ejpam-135	13	15	given	give	VERB
ejpam-135	13	16	by	by	ADP
ejpam-135	13	17	g(z	g(z	PROPN
ejpam-135	13	18	)	)	PUNCT
ejpam-135	13	19	=	=	PUNCT
ejpam-135	13	20	z+	z+	NUM
ejpam-135	13	21	∞	∞	PROPN
ejpam-135	13	22	∑	∑	PROPN
ejpam-135	13	23	n=2	n=2	PART
ejpam-135	13	24	bnzn	bnzn	NOUN
ejpam-135	13	25	,	,	PUNCT
ejpam-135	13	26	we	we	PRON
ejpam-135	13	27	define	define	VERB
ejpam-135	13	28	the	the	DET
ejpam-135	13	29	hadamard	hadamard	ADJ
ejpam-135	13	30	product	product	NOUN
ejpam-135	13	31	(	(	PUNCT
ejpam-135	13	32	or	or	CCONJ
ejpam-135	13	33	convolution	convolution	NOUN
ejpam-135	13	34	)	)	PUNCT
ejpam-135	13	35	of	of	ADP
ejpam-135	13	36	f	f	PROPN
ejpam-135	13	37	and	and	CCONJ
ejpam-135	13	38	g	g	PROPN
ejpam-135	13	39	by	by	ADP
ejpam-135	13	40	(	(	PUNCT
ejpam-135	13	41	f	f	PROPN
ejpam-135	13	42	∗	∗	PROPN
ejpam-135	13	43	g)(z	g)(z	PUNCT
ejpam-135	13	44	)	)	PUNCT
ejpam-135	13	45	=	=	SYM
ejpam-135	13	46	z	z	NOUN
ejpam-135	14	1	+	+	NUM
ejpam-135	14	2	∞	∞	NUM
ejpam-135	14	3	∑	∑	PROPN
ejpam-135	14	4	n=2	n=2	ADV
ejpam-135	14	5	anbnzn	anbnzn	NOUN
ejpam-135	14	6	,	,	PUNCT
ejpam-135	14	7	z	z	PROPN
ejpam-135	14	8	∈	∈	PROPN
ejpam-135	14	9	u	u	NOUN
ejpam-135	14	10	.	.	PUNCT
ejpam-135	15	1	(	(	PUNCT
ejpam-135	15	2	1.2	1.2	NUM
ejpam-135	15	3	)	)	PUNCT
ejpam-135	15	4	for	for	ADP
ejpam-135	15	5	complex	complex	ADJ
ejpam-135	15	6	parameters	parameter	NOUN
ejpam-135	15	7	α1	α1	PROPN
ejpam-135	15	8	,	,	PUNCT
ejpam-135	15	9	.	.	PUNCT
ejpam-135	15	10	.	.	PUNCT
ejpam-135	15	11	.	.	PUNCT
ejpam-135	16	1	,	,	PUNCT
ejpam-135	16	2	αl	αl	ADP
ejpam-135	16	3	and	and	CCONJ
ejpam-135	16	4	β1	β1	PROPN
ejpam-135	16	5	,	,	PUNCT
ejpam-135	16	6	.	.	PUNCT
ejpam-135	16	7	.	.	PUNCT
ejpam-135	17	1	.	.	PUNCT
ejpam-135	18	1	,	,	PUNCT
ejpam-135	18	2	βm	βm	VERB
ejpam-135	18	3	(	(	PUNCT
ejpam-135	18	4	β	β	X
ejpam-135	18	5	j	j	PROPN
ejpam-135	18	6	6=	6=	PROPN
ejpam-135	18	7	0,−1	0,−1	PROPN
ejpam-135	18	8	,	,	PUNCT
ejpam-135	18	9	.	.	PUNCT
ejpam-135	18	10	.	.	PUNCT
ejpam-135	18	11	.	.	PUNCT
ejpam-135	19	1	;	;	PUNCT
ejpam-135	19	2	j	j	PROPN
ejpam-135	19	3	=	=	SYM
ejpam-135	19	4	1	1	NUM
ejpam-135	19	5	,	,	PUNCT
ejpam-135	19	6	2	2	NUM
ejpam-135	19	7	,	,	PUNCT
ejpam-135	19	8	.	.	PUNCT
ejpam-135	19	9	.	.	PUNCT
ejpam-135	19	10	.	.	PUNCT
ejpam-135	20	1	,	,	PUNCT
ejpam-135	20	2	m	m	AUX
ejpam-135	20	3	)	)	PUNCT
ejpam-135	20	4	the	the	DET
ejpam-135	20	5	generalized	generalize	VERB
ejpam-135	20	6	hypergeometric	hypergeometric	ADJ
ejpam-135	20	7	function	function	NOUN
ejpam-135	20	8	l	l	NOUN
ejpam-135	20	9	fm(z	fm(z	NOUN
ejpam-135	20	10	)	)	PUNCT
ejpam-135	20	11	is	be	AUX
ejpam-135	20	12	defined	define	VERB
ejpam-135	20	13	by	by	ADP
ejpam-135	20	14	l	l	PROPN
ejpam-135	20	15	fm(z)≡	fm(z)≡	PROPN
ejpam-135	20	16	l	l	NOUN
ejpam-135	20	17	fm(α1	fm(α1	NOUN
ejpam-135	20	18	,	,	PUNCT
ejpam-135	20	19	.	.	PUNCT
ejpam-135	20	20	.	.	PUNCT
ejpam-135	21	1	.αl;β1	.αl;β1	PROPN
ejpam-135	21	2	,	,	PUNCT
ejpam-135	21	3	.	.	PUNCT
ejpam-135	21	4	.	.	PUNCT
ejpam-135	21	5	.	.	PUNCT
ejpam-135	22	1	,	,	PUNCT
ejpam-135	22	2	βm	βm	VERB
ejpam-135	22	3	;	;	PUNCT
ejpam-135	22	4	z	z	X
ejpam-135	22	5	)	)	PUNCT
ejpam-135	22	6	:	:	PUNCT
ejpam-135	23	1	=	=	SYM
ejpam-135	23	2	∞	∞	NUM
ejpam-135	23	3	∑	∑	SYM
ejpam-135	23	4	n=0	n=0	NUM
ejpam-135	23	5	(	(	PUNCT
ejpam-135	23	6	α1)n	α1)n	NOUN
ejpam-135	23	7	.	.	PUNCT
ejpam-135	23	8	.	.	PUNCT
ejpam-135	23	9	.	.	PUNCT
ejpam-135	24	1	(	(	PUNCT
ejpam-135	24	2	αl)n	αl)n	NOUN
ejpam-135	24	3	(	(	PUNCT
ejpam-135	24	4	β1)n	β1)n	NOUN
ejpam-135	24	5	.	.	PUNCT
ejpam-135	24	6	.	.	PUNCT
ejpam-135	24	7	.	.	PUNCT
ejpam-135	25	1	(	(	PUNCT
ejpam-135	25	2	βm)n	βm)n	ADP
ejpam-135	25	3	zn	zn	PROPN
ejpam-135	25	4	n	n	CCONJ
ejpam-135	25	5	!	!	PUNCT
ejpam-135	26	1	(	(	PUNCT
ejpam-135	26	2	1.3	1.3	NUM
ejpam-135	26	3	)	)	PUNCT
ejpam-135	26	4	(	(	PUNCT
ejpam-135	26	5	l	l	NOUN
ejpam-135	26	6	≤	≤	NUM
ejpam-135	26	7	m+	m+	NUM
ejpam-135	26	8	1	1	NUM
ejpam-135	26	9	;	;	PUNCT
ejpam-135	26	10	l	l	NOUN
ejpam-135	26	11	,	,	PUNCT
ejpam-135	26	12	m	m	PROPN
ejpam-135	26	13	∈	∈	NOUN
ejpam-135	26	14	n0	n0	NOUN
ejpam-135	26	15	:	:	PUNCT
ejpam-135	26	16	=	=	NOUN
ejpam-135	26	17	n	n	CCONJ
ejpam-135	26	18	∪	∪	X
ejpam-135	26	19	{	{	PUNCT
ejpam-135	26	20	0	0	NUM
ejpam-135	26	21	}	}	PUNCT
ejpam-135	26	22	;	;	PUNCT
ejpam-135	26	23	z	z	PROPN
ejpam-135	26	24	∈	∈	PROPN
ejpam-135	26	25	u	u	NOUN
ejpam-135	26	26	)	)	PUNCT
ejpam-135	26	27	where	where	SCONJ
ejpam-135	26	28	n	n	PRON
ejpam-135	26	29	denotes	denote	VERB
ejpam-135	26	30	the	the	DET
ejpam-135	26	31	set	set	NOUN
ejpam-135	26	32	of	of	ADP
ejpam-135	26	33	all	all	DET
ejpam-135	26	34	positive	positive	ADJ
ejpam-135	26	35	integers	integer	NOUN
ejpam-135	26	36	and	and	CCONJ
ejpam-135	26	37	(	(	PUNCT
ejpam-135	26	38	α)n	α)n	ADJ
ejpam-135	26	39	is	be	AUX
ejpam-135	26	40	the	the	DET
ejpam-135	26	41	pochhammer	pochhammer	NOUN
ejpam-135	26	42	symbol	symbol	NOUN
ejpam-135	26	43	defined	define	VERB
ejpam-135	26	44	by	by	ADP
ejpam-135	26	45	(	(	PUNCT
ejpam-135	26	46	α)n	α)n	ADJ
ejpam-135	26	47	=	=	PUNCT
ejpam-135	26	48			NOUN
ejpam-135	26	49			ADJ
ejpam-135	26	50			NOUN
ejpam-135	26	51	1	1	NUM
ejpam-135	26	52	,	,	PUNCT
ejpam-135	26	53	n	n	NOUN
ejpam-135	26	54	=	=	SYM
ejpam-135	26	55	0	0	NUM
ejpam-135	26	56	α(α+	α(α+	NUM
ejpam-135	26	57	1)(α+	1)(α+	NUM
ejpam-135	26	58	2	2	NUM
ejpam-135	26	59	)	)	PUNCT
ejpam-135	26	60	.	.	PUNCT
ejpam-135	26	61	.	.	PUNCT
ejpam-135	26	62	.	.	PUNCT
ejpam-135	27	1	(	(	PUNCT
ejpam-135	27	2	α+	α+	X
ejpam-135	27	3	n−	n−	NOUN
ejpam-135	27	4	1	1	NUM
ejpam-135	27	5	)	)	PUNCT
ejpam-135	27	6	,	,	PUNCT
ejpam-135	27	7	n	n	PROPN
ejpam-135	27	8	∈	∈	PROPN
ejpam-135	27	9	n	n	NOUN
ejpam-135	27	10	.	.	PUNCT
ejpam-135	28	1	(	(	PUNCT
ejpam-135	28	2	1.4	1.4	NUM
ejpam-135	28	3	)	)	PUNCT
ejpam-135	28	4	let	let	VERB
ejpam-135	28	5	h(α1	h(α1	NOUN
ejpam-135	28	6	,	,	PUNCT
ejpam-135	28	7	.	.	PUNCT
ejpam-135	28	8	.	.	PUNCT
ejpam-135	29	1	.αl;β1	.αl;β1	PROPN
ejpam-135	29	2	,	,	PUNCT
ejpam-135	29	3	.	.	PUNCT
ejpam-135	29	4	.	.	PUNCT
ejpam-135	29	5	.	.	PUNCT
ejpam-135	30	1	,	,	PUNCT
ejpam-135	30	2	βm	βm	VERB
ejpam-135	30	3	)	)	PUNCT
ejpam-135	30	4	:	:	PUNCT
ejpam-135	30	5	a→	a→	PUNCT
ejpam-135	30	6	a	a	DET
ejpam-135	30	7	be	be	AUX
ejpam-135	30	8	a	a	DET
ejpam-135	30	9	linear	linear	ADJ
ejpam-135	30	10	operator	operator	NOUN
ejpam-135	30	11	defined	define	VERB
ejpam-135	30	12	by	by	ADP
ejpam-135	30	13	[	[	X
ejpam-135	30	14	(	(	PUNCT
ejpam-135	30	15	h(α1	h(α1	NOUN
ejpam-135	30	16	,	,	PUNCT
ejpam-135	30	17	.	.	PUNCT
ejpam-135	30	18	.	.	PUNCT
ejpam-135	31	1	.αl;β1	.αl;β1	PROPN
ejpam-135	31	2	,	,	PUNCT
ejpam-135	31	3	.	.	PUNCT
ejpam-135	31	4	.	.	PUNCT
ejpam-135	31	5	.	.	PUNCT
ejpam-135	32	1	,	,	PUNCT
ejpam-135	32	2	βm	βm	VERB
ejpam-135	32	3	)	)	PUNCT
ejpam-135	32	4	)	)	PUNCT
ejpam-135	33	1	(	(	PUNCT
ejpam-135	33	2	f	f	PROPN
ejpam-135	33	3	)	)	PUNCT
ejpam-135	33	4	]	]	X
ejpam-135	33	5	(	(	PUNCT
ejpam-135	33	6	z	z	NOUN
ejpam-135	33	7	)	)	PUNCT
ejpam-135	33	8	:	:	PUNCT
ejpam-135	34	1	=	=	PUNCT
ejpam-135	34	2	z	z	SYM
ejpam-135	34	3	l	l	NOUN
ejpam-135	34	4	fm(α1,α2	fm(α1,α2	PROPN
ejpam-135	34	5	,	,	PUNCT
ejpam-135	34	6	.	.	PUNCT
ejpam-135	34	7	.	.	PUNCT
ejpam-135	35	1	.αl;β1,β2	.αl;β1,β2	INTJ
ejpam-135	35	2	.	.	PUNCT
ejpam-135	35	3	.	.	PUNCT
ejpam-135	35	4	.	.	PUNCT
ejpam-135	36	1	,	,	PUNCT
ejpam-135	36	2	βm	βm	VERB
ejpam-135	36	3	;	;	PUNCT
ejpam-135	36	4	z	z	X
ejpam-135	36	5	)	)	PUNCT
ejpam-135	36	6	∗	∗	NOUN
ejpam-135	36	7	f	f	PROPN
ejpam-135	36	8	(	(	PUNCT
ejpam-135	36	9	z	z	NOUN
ejpam-135	36	10	)	)	PUNCT
ejpam-135	36	11	=	=	SYM
ejpam-135	37	1	z	z	NOUN
ejpam-135	38	1	+	+	NUM
ejpam-135	38	2	∞	∞	NUM
ejpam-135	38	3	∑	∑	PUNCT
ejpam-135	38	4	n=2	n=2	PRON
ejpam-135	38	5	γn	γn	ADP
ejpam-135	38	6	anzn	anzn	NOUN
ejpam-135	38	7	(	(	PUNCT
ejpam-135	38	8	1.5	1.5	NUM
ejpam-135	38	9	)	)	PUNCT
ejpam-135	38	10	where	where	SCONJ
ejpam-135	38	11	γn	γn	AUX
ejpam-135	38	12	=	=	SYM
ejpam-135	38	13	(	(	PUNCT
ejpam-135	38	14	α1)n−1	α1)n−1	ADP
ejpam-135	38	15	.	.	PUNCT
ejpam-135	38	16	.	.	PUNCT
ejpam-135	38	17	.	.	PUNCT
ejpam-135	39	1	(	(	PUNCT
ejpam-135	39	2	αl)n−1	αl)n−1	PROPN
ejpam-135	39	3	(	(	PUNCT
ejpam-135	39	4	n−	n−	NOUN
ejpam-135	39	5	1)!(β1)n−1	1)!(β1)n−1	PROPN
ejpam-135	39	6	.	.	PUNCT
ejpam-135	39	7	.	.	PUNCT
ejpam-135	39	8	.	.	PUNCT
ejpam-135	40	1	(	(	PUNCT
ejpam-135	40	2	βm)n−1	βm)n−1	PROPN
ejpam-135	40	3	.	.	PUNCT
ejpam-135	41	1	(	(	PUNCT
ejpam-135	41	2	1.6	1.6	NUM
ejpam-135	41	3	)	)	PUNCT
ejpam-135	41	4	for	for	ADP
ejpam-135	41	5	notational	notational	ADJ
ejpam-135	41	6	simplicity	simplicity	NOUN
ejpam-135	41	7	,	,	PUNCT
ejpam-135	41	8	we	we	PRON
ejpam-135	41	9	can	can	AUX
ejpam-135	41	10	use	use	VERB
ejpam-135	41	11	a	a	DET
ejpam-135	41	12	shorter	short	ADJ
ejpam-135	41	13	notation	notation	NOUN
ejpam-135	41	14	h	h	NOUN
ejpam-135	41	15	l	l	NOUN
ejpam-135	41	16	m	m	VERB
ejpam-135	42	1	[	[	X
ejpam-135	42	2	α1,β1	α1,β1	X
ejpam-135	42	3	]	]	X
ejpam-135	42	4	for	for	ADP
ejpam-135	42	5	h(α1	h(α1	NOUN
ejpam-135	42	6	,	,	PUNCT
ejpam-135	42	7	.	.	PUNCT
ejpam-135	42	8	.	.	PUNCT
ejpam-135	43	1	.αl;β1	.αl;β1	PROPN
ejpam-135	43	2	,	,	PUNCT
ejpam-135	43	3	.	.	PUNCT
ejpam-135	43	4	.	.	PUNCT
ejpam-135	43	5	.	.	PUNCT
ejpam-135	44	1	,	,	PUNCT
ejpam-135	44	2	βm	βm	VERB
ejpam-135	44	3	)	)	PUNCT
ejpam-135	44	4	in	in	ADP
ejpam-135	44	5	the	the	DET
ejpam-135	44	6	sequel	sequel	NOUN
ejpam-135	44	7	.	.	PUNCT
ejpam-135	45	1	the	the	DET
ejpam-135	45	2	linear	linear	PROPN
ejpam-135	45	3	operator	operator	NOUN
ejpam-135	45	4	h	h	NOUN
ejpam-135	45	5	l	l	NOUN
ejpam-135	45	6	m	m	VERB
ejpam-135	46	1	[	[	X
ejpam-135	46	2	α1,β1	α1,β1	X
ejpam-135	46	3	]	]	PUNCT
ejpam-135	46	4	is	be	AUX
ejpam-135	46	5	called	call	VERB
ejpam-135	46	6	dziok	dziok	NOUN
ejpam-135	46	7	-	-	PUNCT
ejpam-135	46	8	srivastava	srivastava	PROPN
ejpam-135	46	9	operator	operator	NOUN
ejpam-135	46	10	(	(	PUNCT
ejpam-135	46	11	see	see	VERB
ejpam-135	46	12	[	[	X
ejpam-135	46	13	3	3	NUM
ejpam-135	46	14	]	]	NUM
ejpam-135	46	15	)	)	PUNCT
ejpam-135	46	16	,	,	PUNCT
ejpam-135	46	17	includes	include	VERB
ejpam-135	46	18	(	(	PUNCT
ejpam-135	46	19	as	as	ADP
ejpam-135	46	20	its	its	PRON
ejpam-135	46	21	special	special	ADJ
ejpam-135	46	22	cases	case	NOUN
ejpam-135	46	23	)	)	PUNCT
ejpam-135	46	24	various	various	ADJ
ejpam-135	46	25	other	other	ADJ
ejpam-135	46	26	g.	g.	PROPN
ejpam-135	46	27	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-135	46	28	and	and	CCONJ
ejpam-135	46	29	n.	n.	PROPN
ejpam-135	46	30	magesh	magesh	PROPN
ejpam-135	46	31	/	/	SYM
ejpam-135	46	32	eur	eur	PROPN
ejpam-135	46	33	.	.	PUNCT
ejpam-135	47	1	j.	j.	PROPN
ejpam-135	47	2	pure	pure	PROPN
ejpam-135	47	3	appl	appl	PROPN
ejpam-135	47	4	.	.	PROPN
ejpam-135	47	5	math	math	PROPN
ejpam-135	47	6	,	,	PUNCT
ejpam-135	47	7	2	2	NUM
ejpam-135	47	8	(	(	PUNCT
ejpam-135	47	9	2009	2009	NUM
ejpam-135	47	10	)	)	PUNCT
ejpam-135	47	11	,	,	PUNCT
ejpam-135	47	12	(	(	PUNCT
ejpam-135	47	13	239	239	NUM
ejpam-135	47	14	-	-	SYM
ejpam-135	47	15	249	249	NUM
ejpam-135	47	16	)	)	PUNCT
ejpam-135	47	17	241	241	NUM
ejpam-135	47	18	linear	linear	PROPN
ejpam-135	47	19	operators	operator	NOUN
ejpam-135	47	20	introduced	introduce	VERB
ejpam-135	47	21	and	and	CCONJ
ejpam-135	47	22	studied	study	VERB
ejpam-135	47	23	by	by	ADP
ejpam-135	47	24	bernardi	bernardi	PROPN
ejpam-135	48	1	[	[	X
ejpam-135	48	2	1	1	NUM
ejpam-135	48	3	]	]	PUNCT
ejpam-135	48	4	,	,	PUNCT
ejpam-135	48	5	carlson	carlson	PROPN
ejpam-135	48	6	and	and	CCONJ
ejpam-135	48	7	shaffer	shaffer	VERB
ejpam-135	48	8	[	[	X
ejpam-135	48	9	2	2	NUM
ejpam-135	48	10	]	]	PUNCT
ejpam-135	48	11	,	,	PUNCT
ejpam-135	48	12	libera	libera	NOUN
ejpam-135	48	13	[	[	X
ejpam-135	48	14	4	4	NUM
ejpam-135	48	15	]	]	PUNCT
ejpam-135	48	16	,	,	PUNCT
ejpam-135	48	17	livingston	livingston	PROPN
ejpam-135	49	1	[	[	X
ejpam-135	49	2	6	6	NUM
ejpam-135	49	3	]	]	PUNCT
ejpam-135	49	4	,	,	PUNCT
ejpam-135	49	5	ruscheweyh	ruscheweyh	VERB
ejpam-135	50	1	[	[	X
ejpam-135	50	2	7	7	NUM
ejpam-135	50	3	]	]	PUNCT
ejpam-135	50	4	and	and	CCONJ
ejpam-135	50	5	srivastava	srivastava	PROPN
ejpam-135	50	6	-	-	PUNCT
ejpam-135	50	7	owa	owa	PROPN
ejpam-135	51	1	[	[	X
ejpam-135	51	2	11	11	NUM
ejpam-135	51	3	]	]	PUNCT
ejpam-135	51	4	.	.	PUNCT
ejpam-135	52	1	for	for	ADP
ejpam-135	52	2	0	0	NUM
ejpam-135	52	3	≤	≤	NUM
ejpam-135	52	4	λ	λ	X
ejpam-135	52	5	<	<	X
ejpam-135	52	6	1	1	NUM
ejpam-135	52	7	,	,	PUNCT
ejpam-135	52	8	0	0	NUM
ejpam-135	52	9	≤	≤	NUM
ejpam-135	52	10	γ	γ	X
ejpam-135	52	11	<	<	X
ejpam-135	52	12	1	1	NUM
ejpam-135	52	13	and	and	CCONJ
ejpam-135	52	14	−π	−π	PRON
ejpam-135	52	15	2	2	NUM
ejpam-135	52	16	<	<	X
ejpam-135	52	17	η	η	X
ejpam-135	52	18	<	<	X
ejpam-135	52	19	π	π	PROPN
ejpam-135	52	20	2	2	NUM
ejpam-135	52	21	,	,	PUNCT
ejpam-135	52	22	we	we	PRON
ejpam-135	52	23	let	let	VERB
ejpam-135	52	24	rl	rl	PRON
ejpam-135	52	25	m	m	PROPN
ejpam-135	52	26	(	(	PUNCT
ejpam-135	52	27	η	η	PROPN
ejpam-135	52	28	,	,	PUNCT
ejpam-135	52	29	γ	γ	X
ejpam-135	52	30	,	,	PUNCT
ejpam-135	52	31	λ	λ	NOUN
ejpam-135	52	32	)	)	PUNCT
ejpam-135	52	33	be	be	VERB
ejpam-135	52	34	the	the	DET
ejpam-135	52	35	subclass	subclass	NOUN
ejpam-135	52	36	of	of	ADP
ejpam-135	52	37	a	a	DET
ejpam-135	52	38	consisting	consisting	NOUN
ejpam-135	52	39	of	of	ADP
ejpam-135	52	40	functions	function	NOUN
ejpam-135	52	41	of	of	ADP
ejpam-135	52	42	the	the	DET
ejpam-135	52	43	form	form	NOUN
ejpam-135	52	44	(	(	PUNCT
ejpam-135	52	45	1.1	1.1	NUM
ejpam-135	52	46	)	)	PUNCT
ejpam-135	52	47	and	and	CCONJ
ejpam-135	52	48	satisfying	satisfy	VERB
ejpam-135	52	49	the	the	DET
ejpam-135	52	50	analytic	analytic	ADJ
ejpam-135	52	51	criterion	criterion	NOUN
ejpam-135	52	52	re	re	ADP
ejpam-135	52	53	¨	¨	NOUN
ejpam-135	52	54	eiη	eiη	PROPN
ejpam-135	52	55	z(h	z(h	PROPN
ejpam-135	52	56	l	l	NOUN
ejpam-135	52	57	m	m	VERB
ejpam-135	53	1	[	[	X
ejpam-135	53	2	α1,β1	α1,β1	X
ejpam-135	53	3	]	]	X
ejpam-135	53	4	f	f	X
ejpam-135	53	5	(	(	PUNCT
ejpam-135	53	6	z	z	NOUN
ejpam-135	53	7	)	)	PUNCT
ejpam-135	53	8	)	)	PUNCT
ejpam-135	54	1	′	′	NUM
ejpam-135	55	1	(	(	PUNCT
ejpam-135	55	2	1−λ)h	1−λ)h	NUM
ejpam-135	55	3	l	l	NOUN
ejpam-135	55	4	m	m	VERB
ejpam-135	56	1	[	[	X
ejpam-135	56	2	α1,β1	α1,β1	X
ejpam-135	56	3	]	]	X
ejpam-135	56	4	f	f	X
ejpam-135	56	5	(	(	PUNCT
ejpam-135	56	6	z	z	NOUN
ejpam-135	56	7	)	)	PUNCT
ejpam-135	56	8	+	+	ADP
ejpam-135	56	9	λz(h	λz(h	X
ejpam-135	56	10	l	l	NOUN
ejpam-135	56	11	m	m	VERB
ejpam-135	56	12	[	[	X
ejpam-135	56	13	α1,β1	α1,β1	X
ejpam-135	56	14	]	]	X
ejpam-135	56	15	f	f	X
ejpam-135	56	16	(	(	PUNCT
ejpam-135	56	17	z	z	NOUN
ejpam-135	56	18	)	)	PUNCT
ejpam-135	56	19	)	)	PUNCT
ejpam-135	56	20	′	′	ADP
ejpam-135	56	21	«	«	PUNCT
ejpam-135	56	22	>	>	X
ejpam-135	56	23	γ	γ	X
ejpam-135	56	24	cosη	cosη	PROPN
ejpam-135	56	25	,	,	PUNCT
ejpam-135	56	26	z	z	PROPN
ejpam-135	56	27	∈	∈	PROPN
ejpam-135	56	28	u	u	NOUN
ejpam-135	56	29	,	,	PUNCT
ejpam-135	56	30	(	(	PUNCT
ejpam-135	56	31	1.7	1.7	NUM
ejpam-135	56	32	)	)	PUNCT
ejpam-135	57	1	where	where	SCONJ
ejpam-135	57	2	h	h	NOUN
ejpam-135	58	1	l	l	NOUN
ejpam-135	58	2	m	m	VERB
ejpam-135	59	1	[	[	X
ejpam-135	59	2	α1,β1	α1,β1	X
ejpam-135	59	3	]	]	X
ejpam-135	59	4	f	f	X
ejpam-135	59	5	(	(	PUNCT
ejpam-135	59	6	z	z	NOUN
ejpam-135	59	7	)	)	PUNCT
ejpam-135	59	8	is	be	AUX
ejpam-135	59	9	given	give	VERB
ejpam-135	59	10	by	by	ADP
ejpam-135	59	11	(	(	PUNCT
ejpam-135	59	12	1.5	1.5	NUM
ejpam-135	59	13	)	)	PUNCT
ejpam-135	59	14	.	.	PUNCT
ejpam-135	60	1	several	several	ADJ
ejpam-135	60	2	known	know	VERB
ejpam-135	60	3	and	and	CCONJ
ejpam-135	60	4	new	new	ADJ
ejpam-135	60	5	subclasses	subclass	NOUN
ejpam-135	60	6	can	can	AUX
ejpam-135	60	7	be	be	AUX
ejpam-135	60	8	obtained	obtain	VERB
ejpam-135	60	9	from	from	ADP
ejpam-135	60	10	the	the	DET
ejpam-135	60	11	class	class	NOUN
ejpam-135	60	12	rl	rl	NOUN
ejpam-135	60	13	m	m	PROPN
ejpam-135	60	14	(	(	PUNCT
ejpam-135	60	15	η	η	PROPN
ejpam-135	60	16	,	,	PUNCT
ejpam-135	60	17	γ	γ	X
ejpam-135	60	18	,	,	PUNCT
ejpam-135	60	19	λ	λ	NOUN
ejpam-135	60	20	)	)	PUNCT
ejpam-135	60	21	,	,	PUNCT
ejpam-135	60	22	by	by	ADP
ejpam-135	60	23	suitably	suitably	ADV
ejpam-135	60	24	specializing	specialize	VERB
ejpam-135	60	25	the	the	DET
ejpam-135	60	26	values	value	NOUN
ejpam-135	60	27	of	of	ADP
ejpam-135	60	28	l	l	PROPN
ejpam-135	60	29	,	,	PUNCT
ejpam-135	60	30	m	m	PROPN
ejpam-135	60	31	,	,	PUNCT
ejpam-135	60	32	α1,α2	α1,α2	PROPN
ejpam-135	60	33	,	,	PUNCT
ejpam-135	60	34	.	.	PUNCT
ejpam-135	60	35	.	.	PUNCT
ejpam-135	61	1	.	.	PUNCT
ejpam-135	62	1	,	,	PUNCT
ejpam-135	62	2	αl	αl	ADP
ejpam-135	62	3	,	,	PUNCT
ejpam-135	62	4	β1,β2	β1,β2	PROPN
ejpam-135	62	5	,	,	PUNCT
ejpam-135	62	6	.	.	PUNCT
ejpam-135	62	7	.	.	PUNCT
ejpam-135	62	8	.	.	PUNCT
ejpam-135	63	1	,	,	PUNCT
ejpam-135	63	2	βm	βm	VERB
ejpam-135	63	3	,	,	PUNCT
ejpam-135	63	4	λ	λ	PROPN
ejpam-135	63	5	,	,	PUNCT
ejpam-135	63	6	γ	γ	PROPN
ejpam-135	63	7	and	and	CCONJ
ejpam-135	63	8	η	η	PROPN
ejpam-135	63	9	.	.	PROPN
ejpam-135	64	1	we	we	PRON
ejpam-135	64	2	present	present	VERB
ejpam-135	64	3	below	below	ADP
ejpam-135	64	4	some	some	PRON
ejpam-135	64	5	of	of	ADP
ejpam-135	64	6	these	these	DET
ejpam-135	64	7	subclasses	subclass	NOUN
ejpam-135	64	8	of	of	ADP
ejpam-135	64	9	rl	rl	X
ejpam-135	64	10	m	m	PROPN
ejpam-135	64	11	(	(	PUNCT
ejpam-135	64	12	η	η	PROPN
ejpam-135	64	13	,	,	PUNCT
ejpam-135	64	14	γ	γ	X
ejpam-135	64	15	,	,	PUNCT
ejpam-135	64	16	λ	λ	NOUN
ejpam-135	64	17	)	)	PUNCT
ejpam-135	64	18	consisting	consist	VERB
ejpam-135	64	19	of	of	ADP
ejpam-135	64	20	functions	function	NOUN
ejpam-135	64	21	of	of	ADP
ejpam-135	64	22	the	the	DET
ejpam-135	64	23	form	form	NOUN
ejpam-135	64	24	(	(	PUNCT
ejpam-135	64	25	1.1	1.1	NUM
ejpam-135	64	26	)	)	PUNCT
ejpam-135	64	27	.	.	PUNCT
ejpam-135	65	1	we	we	PRON
ejpam-135	65	2	observe	observe	VERB
ejpam-135	65	3	that	that	DET
ejpam-135	65	4	example	example	NOUN
ejpam-135	65	5	1.1	1.1	NUM
ejpam-135	65	6	.	.	PUNCT
ejpam-135	66	1	if	if	SCONJ
ejpam-135	66	2	l	l	NOUN
ejpam-135	66	3	=	=	SYM
ejpam-135	66	4	2	2	NUM
ejpam-135	66	5	and	and	CCONJ
ejpam-135	66	6	m=	m=	X
ejpam-135	66	7	1	1	NUM
ejpam-135	66	8	with	with	ADP
ejpam-135	66	9	α1	α1	PROPN
ejpam-135	66	10	=	=	SYM
ejpam-135	66	11	1	1	NUM
ejpam-135	66	12	,	,	PUNCT
ejpam-135	66	13	α2	α2	NOUN
ejpam-135	66	14	=	=	SYM
ejpam-135	66	15	1	1	NUM
ejpam-135	66	16	,	,	PUNCT
ejpam-135	66	17	β1	β1	PROPN
ejpam-135	66	18	=	=	PUNCT
ejpam-135	66	19	1	1	NUM
ejpam-135	66	20	then	then	ADV
ejpam-135	66	21	r	r	NOUN
ejpam-135	66	22	2	2	NUM
ejpam-135	66	23	1	1	NUM
ejpam-135	66	24	(	(	PUNCT
ejpam-135	66	25	η	η	PROPN
ejpam-135	66	26	,	,	PUNCT
ejpam-135	66	27	γ	γ	X
ejpam-135	66	28	,	,	PUNCT
ejpam-135	66	29	λ	λ	NOUN
ejpam-135	66	30	)	)	PUNCT
ejpam-135	66	31	≡	≡	PROPN
ejpam-135	66	32	s(η	s(η	PROPN
ejpam-135	66	33	,	,	PUNCT
ejpam-135	66	34	γ	γ	X
ejpam-135	66	35	,	,	PUNCT
ejpam-135	66	36	λ	λ	NOUN
ejpam-135	66	37	)	)	PUNCT
ejpam-135	66	38	:	:	PUNCT
ejpam-135	66	39	=	=	SYM
ejpam-135	66	40	¨	¨	NOUN
ejpam-135	66	41	f	f	PROPN
ejpam-135	66	42	∈	∈	PROPN
ejpam-135	66	43	a	a	DET
ejpam-135	66	44	:	:	PUNCT
ejpam-135	66	45	re	re	X
ejpam-135	66	46	¨	¨	PROPN
ejpam-135	66	47	eiη	eiη	PROPN
ejpam-135	66	48	z	z	PROPN
ejpam-135	66	49	f	f	PROPN
ejpam-135	66	50	′(z	′(z	NOUN
ejpam-135	66	51	)	)	PUNCT
ejpam-135	66	52	(	(	PUNCT
ejpam-135	66	53	1−λ	1−λ	NUM
ejpam-135	66	54	)	)	PUNCT
ejpam-135	66	55	f	f	NOUN
ejpam-135	66	56	(	(	PUNCT
ejpam-135	66	57	z	z	NOUN
ejpam-135	66	58	)	)	PUNCT
ejpam-135	67	1	+	+	ADP
ejpam-135	67	2	λz	λz	X
ejpam-135	67	3	f	f	PROPN
ejpam-135	67	4	′(z	′(z	NOUN
ejpam-135	67	5	)	)	PUNCT
ejpam-135	67	6	«	«	PUNCT
ejpam-135	67	7	>	>	X
ejpam-135	67	8	γ	γ	X
ejpam-135	67	9	cosη	cosη	PROPN
ejpam-135	67	10	,	,	PUNCT
ejpam-135	67	11	|η|	|η|	PROPN
ejpam-135	67	12	<	<	X
ejpam-135	67	13	π	π	PROPN
ejpam-135	67	14	2	2	NUM
ejpam-135	67	15	,	,	PUNCT
ejpam-135	67	16	0≤	0≤	NUM
ejpam-135	67	17	γ	γ	X
ejpam-135	67	18	<	<	X
ejpam-135	67	19	1	1	NUM
ejpam-135	67	20	,	,	PUNCT
ejpam-135	67	21	z	z	PROPN
ejpam-135	67	22	∈	∈	PROPN
ejpam-135	67	23	u	u	NOUN
ejpam-135	67	24	«	«	PUNCT
ejpam-135	67	25	.	.	PUNCT
ejpam-135	68	1	also	also	ADV
ejpam-135	68	2	r2	r2	PROPN
ejpam-135	68	3	1	1	NUM
ejpam-135	68	4	(	(	PUNCT
ejpam-135	68	5	η	η	PROPN
ejpam-135	68	6	,	,	PUNCT
ejpam-135	68	7	γ	γ	PROPN
ejpam-135	68	8	,	,	PUNCT
ejpam-135	68	9	0)≡	0)≡	PROPN
ejpam-135	68	10	s(η	s(η	PROPN
ejpam-135	68	11	,	,	PUNCT
ejpam-135	68	12	γ	γ	NOUN
ejpam-135	68	13	)	)	PUNCT
ejpam-135	68	14	denotes	denote	VERB
ejpam-135	68	15	the	the	DET
ejpam-135	68	16	η−spirallike	η−spirallike	NOUN
ejpam-135	68	17	functions	function	NOUN
ejpam-135	68	18	of	of	ADP
ejpam-135	68	19	order	order	NOUN
ejpam-135	68	20	γ	γ	NOUN
ejpam-135	68	21	studied	study	VERB
ejpam-135	68	22	by	by	ADP
ejpam-135	68	23	libera	libera	NOUN
ejpam-135	69	1	[	[	X
ejpam-135	69	2	5	5	NUM
ejpam-135	69	3	]	]	PUNCT
ejpam-135	69	4	.	.	PUNCT
ejpam-135	70	1	further	further	ADJ
ejpam-135	70	2	r2	r2	PROPN
ejpam-135	70	3	1	1	NUM
ejpam-135	70	4	(	(	PUNCT
ejpam-135	70	5	η	η	PROPN
ejpam-135	70	6	,	,	PUNCT
ejpam-135	70	7	0	0	NUM
ejpam-135	70	8	,	,	PUNCT
ejpam-135	70	9	0	0	NUM
ejpam-135	70	10	)	)	PUNCT
ejpam-135	70	11	≡	≡	PROPN
ejpam-135	70	12	s(η	s(η	PROPN
ejpam-135	70	13	)	)	PUNCT
ejpam-135	70	14	,	,	PUNCT
ejpam-135	70	15	|η|	|η|	PROPN
ejpam-135	70	16	<	<	X
ejpam-135	70	17	π	π	PROPN
ejpam-135	70	18	2	2	NUM
ejpam-135	70	19	.	.	PUNCT
ejpam-135	71	1	spacek	spacek	PROPN
ejpam-135	72	1	[	[	X
ejpam-135	72	2	10	10	NUM
ejpam-135	72	3	]	]	PUNCT
ejpam-135	72	4	proved	prove	VERB
ejpam-135	72	5	that	that	SCONJ
ejpam-135	72	6	the	the	DET
ejpam-135	72	7	members	member	NOUN
ejpam-135	72	8	of	of	ADP
ejpam-135	72	9	s(η	s(η	PROPN
ejpam-135	72	10	)	)	PUNCT
ejpam-135	72	11	,	,	PUNCT
ejpam-135	72	12	known	know	VERB
ejpam-135	72	13	as	as	ADP
ejpam-135	72	14	η−spirallike	η−spirallike	ADP
ejpam-135	72	15	functions	function	NOUN
ejpam-135	72	16	,	,	PUNCT
ejpam-135	72	17	are	be	AUX
ejpam-135	72	18	univalent	univalent	ADJ
ejpam-135	72	19	in	in	ADP
ejpam-135	72	20	u.	u.	PROPN
ejpam-135	72	21	example	example	NOUN
ejpam-135	73	1	1.2	1.2	NUM
ejpam-135	73	2	.	.	PUNCT
ejpam-135	74	1	if	if	SCONJ
ejpam-135	74	2	l	l	NOUN
ejpam-135	74	3	=	=	SYM
ejpam-135	74	4	2	2	NUM
ejpam-135	74	5	and	and	CCONJ
ejpam-135	74	6	m=	m=	X
ejpam-135	74	7	1	1	NUM
ejpam-135	74	8	with	with	ADP
ejpam-135	74	9	α1	α1	PROPN
ejpam-135	74	10	=	=	SYM
ejpam-135	74	11	δ+	δ+	PUNCT
ejpam-135	74	12	1	1	NUM
ejpam-135	74	13	(	(	PUNCT
ejpam-135	74	14	δ	δ	NOUN
ejpam-135	74	15	>	>	X
ejpam-135	74	16	−1	−1	NOUN
ejpam-135	74	17	)	)	PUNCT
ejpam-135	74	18	,	,	PUNCT
ejpam-135	74	19	α2	α2	PROPN
ejpam-135	74	20	=	=	SYM
ejpam-135	74	21	1	1	NUM
ejpam-135	74	22	,	,	PUNCT
ejpam-135	74	23	β1	β1	PROPN
ejpam-135	74	24	=	=	SYM
ejpam-135	74	25	1	1	NUM
ejpam-135	74	26	,	,	PUNCT
ejpam-135	74	27	then	then	ADV
ejpam-135	74	28	r	r	NOUN
ejpam-135	74	29	2	2	NUM
ejpam-135	74	30	1	1	NUM
ejpam-135	74	31	(	(	PUNCT
ejpam-135	74	32	η	η	PROPN
ejpam-135	74	33	,	,	PUNCT
ejpam-135	74	34	γ	γ	PROPN
ejpam-135	74	35	,	,	PUNCT
ejpam-135	74	36	λ)≡	λ)≡	PROPN
ejpam-135	74	37	dδ(η	dδ(η	PROPN
ejpam-135	74	38	,	,	PUNCT
ejpam-135	74	39	γ	γ	X
ejpam-135	74	40	,	,	PUNCT
ejpam-135	74	41	λ	λ	NOUN
ejpam-135	74	42	)	)	PUNCT
ejpam-135	74	43	:	:	PUNCT
ejpam-135	74	44	=	=	SYM
ejpam-135	74	45	�	�	PROPN
ejpam-135	74	46	f	f	PROPN
ejpam-135	74	47	∈	∈	PROPN
ejpam-135	74	48	a	a	DET
ejpam-135	74	49	:	:	PUNCT
ejpam-135	74	50	re	re	X
ejpam-135	74	51	¨	¨	NOUN
ejpam-135	74	52	eiη	eiη	VERB
ejpam-135	74	53	z(dδ	z(dδ	NUM
ejpam-135	74	54	f	f	X
ejpam-135	74	55	(	(	PUNCT
ejpam-135	74	56	z))′	z))′	X
ejpam-135	74	57	(	(	PUNCT
ejpam-135	74	58	1−λ)dδ	1−λ)dδ	NUM
ejpam-135	74	59	f	f	X
ejpam-135	74	60	(	(	PUNCT
ejpam-135	74	61	z	z	NOUN
ejpam-135	74	62	)	)	PUNCT
ejpam-135	75	1	+	+	PROPN
ejpam-135	75	2	λz(dδ	λz(dδ	PROPN
ejpam-135	75	3	f	f	X
ejpam-135	75	4	(	(	PUNCT
ejpam-135	75	5	z))′	z))′	X
ejpam-135	75	6	«	«	PUNCT
ejpam-135	75	7	>	>	X
ejpam-135	75	8	γ	γ	PROPN
ejpam-135	75	9	cosη	cosη	PROPN
ejpam-135	75	10	,	,	PUNCT
ejpam-135	75	11	|η|	|η|	PROPN
ejpam-135	75	12	<	<	X
ejpam-135	75	13	π	π	PROPN
ejpam-135	75	14	2	2	NUM
ejpam-135	75	15	,	,	PUNCT
ejpam-135	75	16	0≤	0≤	NUM
ejpam-135	75	17	γ	γ	X
ejpam-135	75	18	<	<	X
ejpam-135	75	19	1	1	NUM
ejpam-135	75	20	,	,	PUNCT
ejpam-135	75	21	z	z	PROPN
ejpam-135	75	22	∈	∈	PROPN
ejpam-135	75	23	u	u	PROPN
ejpam-135	75	24	�	�	PROPN
ejpam-135	75	25	,	,	PUNCT
ejpam-135	75	26	where	where	SCONJ
ejpam-135	75	27	dδ	dδ	ADP
ejpam-135	75	28	f	f	PROPN
ejpam-135	75	29	(	(	PUNCT
ejpam-135	75	30	z	z	NOUN
ejpam-135	75	31	)	)	PUNCT
ejpam-135	75	32	is	be	AUX
ejpam-135	75	33	called	call	VERB
ejpam-135	75	34	ruscheweyh	ruscheweyh	NOUN
ejpam-135	75	35	derivative	derivative	ADJ
ejpam-135	75	36	operator	operator	NOUN
ejpam-135	75	37	[	[	X
ejpam-135	75	38	7	7	X
ejpam-135	75	39	]	]	PUNCT
ejpam-135	75	40	defined	define	VERB
ejpam-135	75	41	by	by	ADP
ejpam-135	75	42	dδ	dδ	ADP
ejpam-135	75	43	f	f	PROPN
ejpam-135	75	44	(	(	PUNCT
ejpam-135	75	45	z	z	NOUN
ejpam-135	75	46	)	)	PUNCT
ejpam-135	75	47	:	:	PUNCT
ejpam-135	75	48	=	=	SYM
ejpam-135	75	49	z	z	X
ejpam-135	75	50	(	(	PUNCT
ejpam-135	75	51	1−	1−	NUM
ejpam-135	75	52	z)δ+1	z)δ+1	PROPN
ejpam-135	75	53	∗	∗	PROPN
ejpam-135	75	54	f	f	PROPN
ejpam-135	75	55	(	(	PUNCT
ejpam-135	75	56	z)≡	z)≡	PROPN
ejpam-135	75	57	h2	h2	PROPN
ejpam-135	75	58	1	1	NUM
ejpam-135	75	59	(	(	PUNCT
ejpam-135	75	60	δ+	δ+	X
ejpam-135	75	61	1	1	NUM
ejpam-135	75	62	,	,	PUNCT
ejpam-135	75	63	1	1	NUM
ejpam-135	75	64	;	;	PUNCT
ejpam-135	75	65	1	1	X
ejpam-135	75	66	)	)	PUNCT
ejpam-135	75	67	f	f	NOUN
ejpam-135	75	68	(	(	PUNCT
ejpam-135	75	69	z	z	NOUN
ejpam-135	75	70	)	)	PUNCT
ejpam-135	75	71	.	.	PUNCT
ejpam-135	76	1	g.	g.	PROPN
ejpam-135	76	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-135	76	3	and	and	CCONJ
ejpam-135	76	4	n.	n.	PROPN
ejpam-135	76	5	magesh	magesh	PROPN
ejpam-135	76	6	/	/	SYM
ejpam-135	76	7	eur	eur	PROPN
ejpam-135	76	8	.	.	PUNCT
ejpam-135	77	1	j.	j.	PROPN
ejpam-135	77	2	pure	pure	PROPN
ejpam-135	77	3	appl	appl	PROPN
ejpam-135	77	4	.	.	PROPN
ejpam-135	77	5	math	math	PROPN
ejpam-135	77	6	,	,	PUNCT
ejpam-135	77	7	2	2	NUM
ejpam-135	77	8	(	(	PUNCT
ejpam-135	77	9	2009	2009	NUM
ejpam-135	77	10	)	)	PUNCT
ejpam-135	77	11	,	,	PUNCT
ejpam-135	77	12	(	(	PUNCT
ejpam-135	77	13	239	239	NUM
ejpam-135	77	14	-	-	SYM
ejpam-135	77	15	249	249	NUM
ejpam-135	77	16	)	)	PUNCT
ejpam-135	77	17	242	242	NUM
ejpam-135	77	18	example	example	NOUN
ejpam-135	77	19	1.3	1.3	NUM
ejpam-135	77	20	.	.	PUNCT
ejpam-135	78	1	if	if	SCONJ
ejpam-135	78	2	l	l	NOUN
ejpam-135	78	3	=	=	SYM
ejpam-135	78	4	2	2	NUM
ejpam-135	78	5	and	and	CCONJ
ejpam-135	78	6	m=	m=	X
ejpam-135	78	7	1	1	NUM
ejpam-135	78	8	with	with	ADP
ejpam-135	78	9	α1	α1	PROPN
ejpam-135	78	10	=	=	SYM
ejpam-135	78	11	µ+	µ+	X
ejpam-135	78	12	1(µ	1(µ	NUM
ejpam-135	78	13	>	>	PUNCT
ejpam-135	78	14	−1	−1	NOUN
ejpam-135	78	15	)	)	PUNCT
ejpam-135	78	16	,	,	PUNCT
ejpam-135	78	17	α2	α2	PROPN
ejpam-135	78	18	=	=	SYM
ejpam-135	78	19	1	1	NUM
ejpam-135	78	20	,	,	PUNCT
ejpam-135	78	21	β1	β1	PROPN
ejpam-135	78	22	=	=	PUNCT
ejpam-135	78	23	µ+	µ+	X
ejpam-135	78	24	2	2	NUM
ejpam-135	78	25	,	,	PUNCT
ejpam-135	78	26	then	then	ADV
ejpam-135	78	27	r	r	NOUN
ejpam-135	78	28	2	2	NUM
ejpam-135	78	29	1	1	NUM
ejpam-135	78	30	(	(	PUNCT
ejpam-135	78	31	η	η	PROPN
ejpam-135	78	32	,	,	PUNCT
ejpam-135	78	33	γ	γ	PROPN
ejpam-135	78	34	,	,	PUNCT
ejpam-135	78	35	λ)≡	λ)≡	PROPN
ejpam-135	78	36	bµ(η	bµ(η	PROPN
ejpam-135	78	37	,	,	PUNCT
ejpam-135	78	38	γ	γ	X
ejpam-135	78	39	,	,	PUNCT
ejpam-135	78	40	λ	λ	NOUN
ejpam-135	78	41	)	)	PUNCT
ejpam-135	78	42	:	:	PUNCT
ejpam-135	78	43	=	=	SYM
ejpam-135	78	44	¨	¨	NOUN
ejpam-135	78	45	f	f	PROPN
ejpam-135	78	46	∈	∈	PROPN
ejpam-135	78	47	a	a	DET
ejpam-135	78	48	:	:	PUNCT
ejpam-135	78	49	re	re	PUNCT
ejpam-135	78	50	�	�	PROPN
ejpam-135	78	51	eiη	eiη	VERB
ejpam-135	78	52	z(jµ	z(jµ	PROPN
ejpam-135	78	53	f	f	PROPN
ejpam-135	78	54	(	(	PUNCT
ejpam-135	78	55	z))′	z))′	X
ejpam-135	78	56	(	(	PUNCT
ejpam-135	78	57	1−λ)jµ	1−λ)jµ	NUM
ejpam-135	78	58	f	f	X
ejpam-135	78	59	(	(	PUNCT
ejpam-135	78	60	z	z	NOUN
ejpam-135	78	61	)	)	PUNCT
ejpam-135	79	1	+	+	PROPN
ejpam-135	79	2	λz(jµ	λz(jµ	PROPN
ejpam-135	79	3	f	f	X
ejpam-135	79	4	(	(	PUNCT
ejpam-135	79	5	z))′	z))′	X
ejpam-135	79	6	«	«	PUNCT
ejpam-135	79	7	>	>	X
ejpam-135	79	8	γ	γ	PROPN
ejpam-135	79	9	cosη	cosη	PROPN
ejpam-135	79	10	,	,	PUNCT
ejpam-135	79	11	|η|	|η|	PROPN
ejpam-135	79	12	<	<	X
ejpam-135	79	13	π	π	PROPN
ejpam-135	79	14	2	2	NUM
ejpam-135	79	15	,	,	PUNCT
ejpam-135	79	16	0	0	NUM
ejpam-135	79	17	≤	≤	NUM
ejpam-135	79	18	γ	γ	X
ejpam-135	79	19	<	<	X
ejpam-135	79	20	1	1	NUM
ejpam-135	79	21	,	,	PUNCT
ejpam-135	79	22	z	z	PROPN
ejpam-135	79	23	∈	∈	PROPN
ejpam-135	79	24	u	u	PROPN
ejpam-135	79	25	�	�	PROPN
ejpam-135	79	26	,	,	PUNCT
ejpam-135	79	27	where	where	SCONJ
ejpam-135	79	28	jµ	jµ	PROPN
ejpam-135	79	29	is	be	AUX
ejpam-135	79	30	a	a	DET
ejpam-135	79	31	bernardi	bernardi	PROPN
ejpam-135	79	32	operator	operator	NOUN
ejpam-135	79	33	[	[	X
ejpam-135	79	34	1	1	X
ejpam-135	79	35	]	]	PUNCT
ejpam-135	79	36	defined	define	VERB
ejpam-135	79	37	by	by	ADP
ejpam-135	79	38	jµ	jµ	PROPN
ejpam-135	79	39	f	f	PROPN
ejpam-135	79	40	(	(	PUNCT
ejpam-135	79	41	z	z	NOUN
ejpam-135	79	42	)	)	PUNCT
ejpam-135	79	43	:	:	PUNCT
ejpam-135	79	44	=	=	SYM
ejpam-135	79	45	µ+	µ+	PUNCT
ejpam-135	79	46	1	1	NUM
ejpam-135	79	47	zµ	zµ	NOUN
ejpam-135	79	48	∫	∫	PROPN
ejpam-135	79	49	z	z	PROPN
ejpam-135	79	50	0	0	NUM
ejpam-135	80	1	tµ−1	tµ−1	VERB
ejpam-135	80	2	f	f	PROPN
ejpam-135	80	3	(	(	PUNCT
ejpam-135	80	4	t)d	t)d	PROPN
ejpam-135	80	5	t	t	PROPN
ejpam-135	80	6	≡	≡	PROPN
ejpam-135	80	7	h2	h2	PROPN
ejpam-135	80	8	1	1	NUM
ejpam-135	80	9	(	(	PUNCT
ejpam-135	80	10	µ+	µ+	X
ejpam-135	80	11	1	1	NUM
ejpam-135	80	12	,	,	PUNCT
ejpam-135	80	13	1;µ+	1;µ+	NUM
ejpam-135	80	14	2	2	NUM
ejpam-135	80	15	)	)	PUNCT
ejpam-135	80	16	f	f	NOUN
ejpam-135	80	17	(	(	PUNCT
ejpam-135	80	18	z	z	NOUN
ejpam-135	80	19	)	)	PUNCT
ejpam-135	80	20	.	.	PUNCT
ejpam-135	81	1	note	note	VERB
ejpam-135	81	2	that	that	SCONJ
ejpam-135	81	3	the	the	DET
ejpam-135	81	4	operator	operator	NOUN
ejpam-135	81	5	j1	j1	PROPN
ejpam-135	81	6	was	be	AUX
ejpam-135	81	7	studied	study	VERB
ejpam-135	81	8	earlier	early	ADV
ejpam-135	81	9	by	by	ADP
ejpam-135	81	10	libera	libera	NOUN
ejpam-135	81	11	[	[	X
ejpam-135	81	12	4	4	X
ejpam-135	81	13	]	]	PUNCT
ejpam-135	81	14	and	and	CCONJ
ejpam-135	81	15	livingston	livingston	PROPN
ejpam-135	82	1	[	[	X
ejpam-135	82	2	6	6	NUM
ejpam-135	82	3	]	]	PUNCT
ejpam-135	82	4	.	.	PUNCT
ejpam-135	82	5	example	example	NOUN
ejpam-135	82	6	1.4	1.4	NUM
ejpam-135	82	7	.	.	PUNCT
ejpam-135	83	1	if	if	SCONJ
ejpam-135	83	2	l	l	NOUN
ejpam-135	83	3	=	=	SYM
ejpam-135	83	4	2	2	NUM
ejpam-135	83	5	and	and	CCONJ
ejpam-135	83	6	m=	m=	X
ejpam-135	83	7	1	1	NUM
ejpam-135	83	8	with	with	ADP
ejpam-135	83	9	α1	α1	PROPN
ejpam-135	83	10	=	=	PUNCT
ejpam-135	83	11	a	a	X
ejpam-135	83	12	(	(	PUNCT
ejpam-135	83	13	a	a	DET
ejpam-135	83	14	>	>	X
ejpam-135	83	15	0	0	NUM
ejpam-135	83	16	)	)	PUNCT
ejpam-135	83	17	,	,	PUNCT
ejpam-135	83	18	α2	α2	PROPN
ejpam-135	83	19	=	=	SYM
ejpam-135	83	20	1	1	NUM
ejpam-135	83	21	,	,	PUNCT
ejpam-135	83	22	β1	β1	PROPN
ejpam-135	83	23	=	=	PUNCT
ejpam-135	83	24	c	c	X
ejpam-135	83	25	(	(	PUNCT
ejpam-135	83	26	c	c	NOUN
ejpam-135	83	27	>	>	X
ejpam-135	83	28	0	0	NUM
ejpam-135	83	29	)	)	PUNCT
ejpam-135	83	30	,	,	PUNCT
ejpam-135	83	31	then	then	ADV
ejpam-135	83	32	r	r	NOUN
ejpam-135	83	33	2	2	NUM
ejpam-135	83	34	1(η	1(η	NUM
ejpam-135	83	35	,	,	PUNCT
ejpam-135	83	36	γ	γ	X
ejpam-135	83	37	,	,	PUNCT
ejpam-135	83	38	λ	λ	NOUN
ejpam-135	83	39	)	)	PUNCT
ejpam-135	83	40	≡	≡	PROPN
ejpam-135	83	41	la	la	PROPN
ejpam-135	83	42	c	c	PROPN
ejpam-135	83	43	(	(	PUNCT
ejpam-135	83	44	η	η	PROPN
ejpam-135	83	45	,	,	PUNCT
ejpam-135	83	46	γ	γ	X
ejpam-135	83	47	,	,	PUNCT
ejpam-135	83	48	λ	λ	NOUN
ejpam-135	83	49	)	)	PUNCT
ejpam-135	83	50	:	:	PUNCT
ejpam-135	83	51	=	=	SYM
ejpam-135	83	52	�	�	PROPN
ejpam-135	83	53	f	f	PROPN
ejpam-135	83	54	∈	∈	PROPN
ejpam-135	83	55	a	a	DET
ejpam-135	83	56	:	:	PUNCT
ejpam-135	83	57	re	re	X
ejpam-135	83	58	¨	¨	PROPN
ejpam-135	83	59	eiη	eiη	PROPN
ejpam-135	83	60	z(l(a	z(l(a	NUM
ejpam-135	83	61	,	,	PUNCT
ejpam-135	83	62	c	c	NOUN
ejpam-135	83	63	)	)	PUNCT
ejpam-135	83	64	f	f	PROPN
ejpam-135	83	65	(	(	PUNCT
ejpam-135	83	66	z))′	z))′	X
ejpam-135	83	67	(	(	PUNCT
ejpam-135	83	68	1−λ)l(a	1−λ)l(a	ADJ
ejpam-135	83	69	,	,	PUNCT
ejpam-135	83	70	c	c	NOUN
ejpam-135	83	71	)	)	PUNCT
ejpam-135	83	72	f	f	NOUN
ejpam-135	83	73	(	(	PUNCT
ejpam-135	83	74	z	z	NOUN
ejpam-135	83	75	)	)	PUNCT
ejpam-135	83	76	+	+	NOUN
ejpam-135	83	77	λz(l(a	λz(l(a	NOUN
ejpam-135	83	78	,	,	PUNCT
ejpam-135	83	79	c	c	NOUN
ejpam-135	83	80	)	)	PUNCT
ejpam-135	83	81	f	f	PROPN
ejpam-135	83	82	(	(	PUNCT
ejpam-135	83	83	z))′	z))′	X
ejpam-135	83	84	«	«	PUNCT
ejpam-135	83	85	>	>	X
ejpam-135	83	86	γ	γ	X
ejpam-135	83	87	cosη	cosη	PROPN
ejpam-135	83	88	,	,	PUNCT
ejpam-135	83	89	|η|	|η|	X
ejpam-135	83	90	<	<	X
ejpam-135	83	91	π	π	PROPN
ejpam-135	83	92	2	2	NUM
ejpam-135	83	93	,	,	PUNCT
ejpam-135	83	94	0≤	0≤	NUM
ejpam-135	83	95	γ	γ	X
ejpam-135	83	96	<	<	X
ejpam-135	83	97	1	1	NUM
ejpam-135	83	98	,	,	PUNCT
ejpam-135	83	99	z	z	PROPN
ejpam-135	83	100	∈	∈	PROPN
ejpam-135	83	101	u	u	PROPN
ejpam-135	83	102	�	�	PROPN
ejpam-135	83	103	,	,	PUNCT
ejpam-135	83	104	where	where	SCONJ
ejpam-135	83	105	l(a	l(a	PROPN
ejpam-135	83	106	,	,	PUNCT
ejpam-135	83	107	c	c	NOUN
ejpam-135	83	108	)	)	PUNCT
ejpam-135	83	109	is	be	AUX
ejpam-135	83	110	a	a	DET
ejpam-135	83	111	well	well	ADV
ejpam-135	83	112	-	-	PUNCT
ejpam-135	83	113	known	know	VERB
ejpam-135	83	114	carlson	carlson	NOUN
ejpam-135	83	115	-	-	PUNCT
ejpam-135	83	116	shaffer	shaffer	PROPN
ejpam-135	83	117	linear	linear	NOUN
ejpam-135	83	118	operator	operator	NOUN
ejpam-135	83	119	[	[	X
ejpam-135	83	120	2	2	NUM
ejpam-135	83	121	]	]	PUNCT
ejpam-135	83	122	defined	define	VERB
ejpam-135	83	123	by	by	ADP
ejpam-135	83	124	l(a	l(a	PROPN
ejpam-135	83	125	,	,	PUNCT
ejpam-135	83	126	c	c	NOUN
ejpam-135	83	127	)	)	PUNCT
ejpam-135	83	128	f	f	NOUN
ejpam-135	83	129	(	(	PUNCT
ejpam-135	83	130	z	z	NOUN
ejpam-135	83	131	)	)	PUNCT
ejpam-135	83	132	:	:	PUNCT
ejpam-135	84	1	=	=	SYM
ejpam-135	84	2	∞	∞	NUM
ejpam-135	84	3	∑	∑	PUNCT
ejpam-135	84	4	k=0	k=0	X
ejpam-135	84	5	(	(	PUNCT
ejpam-135	84	6	a)k	a)k	ADJ
ejpam-135	84	7	(	(	PUNCT
ejpam-135	84	8	c)k	c)k	X
ejpam-135	84	9	zk+1	zk+1	NUM
ejpam-135	84	10	!	!	PUNCT
ejpam-135	85	1	∗	∗	NOUN
ejpam-135	85	2	f	f	PROPN
ejpam-135	85	3	(	(	PUNCT
ejpam-135	85	4	z	z	NOUN
ejpam-135	85	5	)	)	PUNCT
ejpam-135	85	6	≡	≡	PROPN
ejpam-135	85	7	h2	h2	PROPN
ejpam-135	85	8	1(a	1(a	NUM
ejpam-135	85	9	,	,	PUNCT
ejpam-135	85	10	1	1	NUM
ejpam-135	85	11	;	;	PUNCT
ejpam-135	85	12	c	c	X
ejpam-135	85	13	)	)	PUNCT
ejpam-135	85	14	f	f	NOUN
ejpam-135	85	15	(	(	PUNCT
ejpam-135	85	16	z	z	NOUN
ejpam-135	85	17	)	)	PUNCT
ejpam-135	85	18	.	.	PUNCT
ejpam-135	86	1	the	the	DET
ejpam-135	86	2	object	object	NOUN
ejpam-135	86	3	of	of	ADP
ejpam-135	86	4	the	the	DET
ejpam-135	86	5	present	present	ADJ
ejpam-135	86	6	paper	paper	NOUN
ejpam-135	86	7	is	be	AUX
ejpam-135	86	8	to	to	PART
ejpam-135	86	9	investigate	investigate	VERB
ejpam-135	86	10	the	the	DET
ejpam-135	86	11	coefficient	coefficient	NOUN
ejpam-135	86	12	estimates	estimate	NOUN
ejpam-135	86	13	and	and	CCONJ
ejpam-135	86	14	subordination	subordination	NOUN
ejpam-135	86	15	properties	property	NOUN
ejpam-135	86	16	for	for	ADP
ejpam-135	86	17	the	the	DET
ejpam-135	86	18	class	class	NOUN
ejpam-135	86	19	of	of	ADP
ejpam-135	86	20	functions	function	NOUN
ejpam-135	86	21	rl	rl	ADP
ejpam-135	86	22	m	m	PROPN
ejpam-135	86	23	(	(	PUNCT
ejpam-135	86	24	η	η	PROPN
ejpam-135	86	25	,	,	PUNCT
ejpam-135	86	26	γ	γ	X
ejpam-135	86	27	,	,	PUNCT
ejpam-135	86	28	λ	λ	NOUN
ejpam-135	86	29	)	)	PUNCT
ejpam-135	86	30	.	.	PUNCT
ejpam-135	87	1	some	some	DET
ejpam-135	87	2	interesting	interesting	ADJ
ejpam-135	87	3	consequences	consequence	NOUN
ejpam-135	87	4	of	of	ADP
ejpam-135	87	5	the	the	DET
ejpam-135	87	6	results	result	NOUN
ejpam-135	87	7	are	be	AUX
ejpam-135	87	8	also	also	ADV
ejpam-135	87	9	pointed	point	VERB
ejpam-135	87	10	out	out	ADP
ejpam-135	87	11	.	.	PUNCT
ejpam-135	88	1	2	2	X
ejpam-135	88	2	.	.	X
ejpam-135	88	3	main	main	ADJ
ejpam-135	88	4	results	result	NOUN
ejpam-135	88	5	to	to	PART
ejpam-135	88	6	prove	prove	VERB
ejpam-135	88	7	our	our	PRON
ejpam-135	88	8	results	result	NOUN
ejpam-135	88	9	we	we	PRON
ejpam-135	88	10	need	need	VERB
ejpam-135	88	11	the	the	DET
ejpam-135	88	12	following	follow	VERB
ejpam-135	88	13	definitions	definition	NOUN
ejpam-135	88	14	and	and	CCONJ
ejpam-135	88	15	lemmas	lemma	NOUN
ejpam-135	88	16	.	.	PUNCT
ejpam-135	89	1	g.	g.	PROPN
ejpam-135	89	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-135	89	3	and	and	CCONJ
ejpam-135	89	4	n.	n.	PROPN
ejpam-135	89	5	magesh	magesh	PROPN
ejpam-135	89	6	/	/	SYM
ejpam-135	89	7	eur	eur	PROPN
ejpam-135	89	8	.	.	PUNCT
ejpam-135	90	1	j.	j.	PROPN
ejpam-135	90	2	pure	pure	PROPN
ejpam-135	90	3	appl	appl	PROPN
ejpam-135	90	4	.	.	PROPN
ejpam-135	90	5	math	math	PROPN
ejpam-135	90	6	,	,	PUNCT
ejpam-135	90	7	2	2	NUM
ejpam-135	90	8	(	(	PUNCT
ejpam-135	90	9	2009	2009	NUM
ejpam-135	90	10	)	)	PUNCT
ejpam-135	90	11	,	,	PUNCT
ejpam-135	90	12	(	(	PUNCT
ejpam-135	90	13	239	239	NUM
ejpam-135	90	14	-	-	SYM
ejpam-135	90	15	249	249	NUM
ejpam-135	90	16	)	)	PUNCT
ejpam-135	90	17	243	243	NUM
ejpam-135	90	18	definition	definition	NOUN
ejpam-135	90	19	2.1	2.1	NUM
ejpam-135	90	20	.	.	PUNCT
ejpam-135	91	1	for	for	ADP
ejpam-135	91	2	analytic	analytic	ADJ
ejpam-135	91	3	functions	function	NOUN
ejpam-135	91	4	g	g	NOUN
ejpam-135	91	5	and	and	CCONJ
ejpam-135	91	6	h	h	NOUN
ejpam-135	91	7	with	with	ADP
ejpam-135	91	8	g(0	g(0	NOUN
ejpam-135	91	9	)	)	PUNCT
ejpam-135	91	10	=	=	SYM
ejpam-135	91	11	h(0	h(0	PROPN
ejpam-135	91	12	)	)	PUNCT
ejpam-135	91	13	,	,	PUNCT
ejpam-135	91	14	g	g	PROPN
ejpam-135	91	15	is	be	AUX
ejpam-135	91	16	said	say	VERB
ejpam-135	91	17	to	to	PART
ejpam-135	91	18	be	be	AUX
ejpam-135	91	19	subordinate	subordinate	ADJ
ejpam-135	91	20	to	to	ADP
ejpam-135	91	21	h	h	NOUN
ejpam-135	91	22	,	,	PUNCT
ejpam-135	91	23	denoted	denote	VERB
ejpam-135	91	24	by	by	ADP
ejpam-135	91	25	g	g	PROPN
ejpam-135	91	26	≺	≺	NOUN
ejpam-135	91	27	h	h	NOUN
ejpam-135	91	28	,	,	PUNCT
ejpam-135	91	29	if	if	SCONJ
ejpam-135	91	30	there	there	PRON
ejpam-135	91	31	exists	exist	VERB
ejpam-135	91	32	an	an	DET
ejpam-135	91	33	analytic	analytic	ADJ
ejpam-135	91	34	function	function	NOUN
ejpam-135	91	35	w	w	ADP
ejpam-135	91	36	such	such	ADJ
ejpam-135	91	37	that	that	DET
ejpam-135	91	38	w(0	w(0	PROPN
ejpam-135	91	39	)	)	PUNCT
ejpam-135	92	1	=	=	SYM
ejpam-135	92	2	0	0	NUM
ejpam-135	92	3	,	,	PUNCT
ejpam-135	92	4	|w(z)|	|w(z)|	VERB
ejpam-135	92	5	<	<	X
ejpam-135	92	6	1	1	NUM
ejpam-135	92	7	and	and	CCONJ
ejpam-135	92	8	g(z	g(z	ADJ
ejpam-135	92	9	)	)	PUNCT
ejpam-135	92	10	=	=	SYM
ejpam-135	92	11	h(w(z	h(w(z	PROPN
ejpam-135	92	12	)	)	PUNCT
ejpam-135	92	13	)	)	PUNCT
ejpam-135	92	14	,	,	PUNCT
ejpam-135	92	15	for	for	ADP
ejpam-135	92	16	all	all	DET
ejpam-135	92	17	z	z	NOUN
ejpam-135	92	18	∈	∈	PROPN
ejpam-135	92	19	u	u	NOUN
ejpam-135	92	20	.	.	PUNCT
ejpam-135	93	1	definition	definition	NOUN
ejpam-135	93	2	2.2	2.2	NUM
ejpam-135	93	3	.	.	PUNCT
ejpam-135	94	1	a	a	DET
ejpam-135	94	2	sequence	sequence	NOUN
ejpam-135	94	3	{	{	PUNCT
ejpam-135	94	4	bn	bn	NOUN
ejpam-135	94	5	}	}	PUNCT
ejpam-135	94	6	∞	∞	NUM
ejpam-135	94	7	n=1	n=1	PROPN
ejpam-135	94	8	of	of	ADP
ejpam-135	94	9	complex	complex	ADJ
ejpam-135	94	10	numbers	number	NOUN
ejpam-135	94	11	is	be	AUX
ejpam-135	94	12	said	say	VERB
ejpam-135	94	13	to	to	PART
ejpam-135	94	14	be	be	AUX
ejpam-135	94	15	a	a	DET
ejpam-135	94	16	subordinating	subordinating	NOUN
ejpam-135	94	17	sequence	sequence	NOUN
ejpam-135	94	18	if	if	SCONJ
ejpam-135	94	19	,	,	PUNCT
ejpam-135	94	20	whenever	whenever	SCONJ
ejpam-135	94	21	f	f	PROPN
ejpam-135	94	22	(	(	PUNCT
ejpam-135	94	23	z	z	NOUN
ejpam-135	94	24	)	)	PUNCT
ejpam-135	94	25	=	=	SYM
ejpam-135	94	26	∞	∞	NUM
ejpam-135	94	27	∑	∑	PROPN
ejpam-135	94	28	n=1	n=1	PROPN
ejpam-135	94	29	anzn	anzn	NOUN
ejpam-135	94	30	,	,	PUNCT
ejpam-135	94	31	a1	a1	NOUN
ejpam-135	94	32	=	=	SYM
ejpam-135	94	33	1	1	NUM
ejpam-135	94	34	is	be	AUX
ejpam-135	94	35	regular	regular	ADJ
ejpam-135	94	36	,	,	PUNCT
ejpam-135	94	37	univalent	univalent	ADJ
ejpam-135	94	38	and	and	CCONJ
ejpam-135	94	39	convex	convex	NOUN
ejpam-135	94	40	in	in	ADP
ejpam-135	94	41	u	u	PROPN
ejpam-135	94	42	,	,	PUNCT
ejpam-135	94	43	we	we	PRON
ejpam-135	94	44	have	have	AUX
ejpam-135	94	45	∞	∞	PROPN
ejpam-135	94	46	∑	∑	PUNCT
ejpam-135	94	47	n=1	n=1	PROPN
ejpam-135	94	48	bnanzn	bnanzn	NOUN
ejpam-135	94	49	≺	≺	NOUN
ejpam-135	95	1	f	f	X
ejpam-135	95	2	(	(	PUNCT
ejpam-135	95	3	z	z	NOUN
ejpam-135	95	4	)	)	PUNCT
ejpam-135	95	5	,	,	PUNCT
ejpam-135	95	6	z	z	PROPN
ejpam-135	95	7	∈	∈	PROPN
ejpam-135	95	8	u	u	PROPN
ejpam-135	95	9	.	.	PUNCT
ejpam-135	96	1	(	(	PUNCT
ejpam-135	96	2	2.1	2.1	NUM
ejpam-135	96	3	)	)	PUNCT
ejpam-135	96	4	in	in	ADP
ejpam-135	96	5	1961	1961	NUM
ejpam-135	96	6	,	,	PUNCT
ejpam-135	96	7	wilf	wilf	PROPN
ejpam-135	97	1	[	[	X
ejpam-135	97	2	12	12	NUM
ejpam-135	97	3	]	]	PUNCT
ejpam-135	97	4	proved	prove	VERB
ejpam-135	97	5	the	the	DET
ejpam-135	97	6	following	follow	VERB
ejpam-135	97	7	subordinating	subordinating	NOUN
ejpam-135	97	8	factor	factor	NOUN
ejpam-135	97	9	sequence	sequence	NOUN
ejpam-135	97	10	.	.	PUNCT
ejpam-135	98	1	lemma	lemma	PROPN
ejpam-135	98	2	2.1	2.1	NUM
ejpam-135	98	3	.	.	PUNCT
ejpam-135	99	1	the	the	DET
ejpam-135	99	2	sequence	sequence	NOUN
ejpam-135	99	3	{	{	PUNCT
ejpam-135	99	4	bn	bn	NOUN
ejpam-135	99	5	}	}	PUNCT
ejpam-135	99	6	∞	∞	NUM
ejpam-135	99	7	n=1	n=1	PROPN
ejpam-135	99	8	is	be	AUX
ejpam-135	99	9	a	a	DET
ejpam-135	99	10	subordinating	subordinate	VERB
ejpam-135	99	11	factor	factor	NOUN
ejpam-135	99	12	sequence	sequence	NOUN
ejpam-135	99	13	if	if	SCONJ
ejpam-135	99	14	and	and	CCONJ
ejpam-135	99	15	only	only	ADV
ejpam-135	99	16	if	if	SCONJ
ejpam-135	99	17	re	re	X
ejpam-135	99	18	(	(	PUNCT
ejpam-135	99	19	1	1	NUM
ejpam-135	99	20	+	+	NUM
ejpam-135	99	21	2	2	NUM
ejpam-135	99	22	∞	∞	NUM
ejpam-135	99	23	∑	∑	PUNCT
ejpam-135	99	24	n=1	n=1	PROPN
ejpam-135	99	25	bnzn	bnzn	NOUN
ejpam-135	99	26	)	)	PUNCT
ejpam-135	99	27	>	>	X
ejpam-135	99	28	0	0	NUM
ejpam-135	99	29	,	,	PUNCT
ejpam-135	99	30	z	z	PROPN
ejpam-135	99	31	∈	∈	PROPN
ejpam-135	99	32	u	u	PROPN
ejpam-135	99	33	.	.	PUNCT
ejpam-135	100	1	(	(	PUNCT
ejpam-135	100	2	2.2	2.2	NUM
ejpam-135	100	3	)	)	PUNCT
ejpam-135	100	4	next	next	ADV
ejpam-135	100	5	we	we	PRON
ejpam-135	100	6	obtain	obtain	VERB
ejpam-135	100	7	the	the	DET
ejpam-135	100	8	coefficient	coefficient	NOUN
ejpam-135	100	9	inequality	inequality	NOUN
ejpam-135	100	10	theorem	theorem	VERB
ejpam-135	100	11	for	for	ADP
ejpam-135	100	12	the	the	DET
ejpam-135	100	13	class	class	NOUN
ejpam-135	100	14	rl	rl	VERB
ejpam-135	100	15	m	m	PROPN
ejpam-135	100	16	(	(	PUNCT
ejpam-135	100	17	η	η	PROPN
ejpam-135	100	18	,	,	PUNCT
ejpam-135	100	19	γ	γ	X
ejpam-135	100	20	,	,	PUNCT
ejpam-135	100	21	λ	λ	NOUN
ejpam-135	100	22	)	)	PUNCT
ejpam-135	100	23	.	.	PUNCT
ejpam-135	101	1	theorem	theorem	VERB
ejpam-135	101	2	2.1	2.1	NUM
ejpam-135	101	3	.	.	PUNCT
ejpam-135	102	1	a	a	DET
ejpam-135	102	2	function	function	NOUN
ejpam-135	102	3	f	f	X
ejpam-135	102	4	(	(	PUNCT
ejpam-135	102	5	z	z	NOUN
ejpam-135	102	6	)	)	PUNCT
ejpam-135	102	7	of	of	ADP
ejpam-135	102	8	the	the	DET
ejpam-135	102	9	form	form	NOUN
ejpam-135	102	10	(	(	PUNCT
ejpam-135	102	11	1.1	1.1	NUM
ejpam-135	102	12	)	)	PUNCT
ejpam-135	102	13	is	be	AUX
ejpam-135	102	14	in	in	ADP
ejpam-135	102	15	rl	rl	X
ejpam-135	102	16	m	m	PROPN
ejpam-135	102	17	(	(	PUNCT
ejpam-135	102	18	η	η	PROPN
ejpam-135	102	19	,	,	PUNCT
ejpam-135	102	20	γ	γ	X
ejpam-135	102	21	,	,	PUNCT
ejpam-135	102	22	λ	λ	NOUN
ejpam-135	102	23	)	)	PUNCT
ejpam-135	102	24	if	if	SCONJ
ejpam-135	102	25	∞	∞	PROPN
ejpam-135	102	26	∑	∑	PUNCT
ejpam-135	102	27	n=2	n=2	PRON
ejpam-135	102	28	[	[	X
ejpam-135	102	29	(	(	PUNCT
ejpam-135	102	30	1−λ)(n−	1−λ)(n−	PROPN
ejpam-135	102	31	1	1	NUM
ejpam-135	102	32	)	)	PUNCT
ejpam-135	102	33	secη+	secη+	PROPN
ejpam-135	102	34	(	(	PUNCT
ejpam-135	102	35	1−	1−	NUM
ejpam-135	102	36	γ)(1	γ)(1	NOUN
ejpam-135	102	37	+	+	CCONJ
ejpam-135	102	38	nλ−λ)]γn	nλ−λ)]γn	ADJ
ejpam-135	102	39	|an|	|an|	NOUN
ejpam-135	102	40	≤	≤	NOUN
ejpam-135	102	41	1−	1−	NUM
ejpam-135	102	42	γ	γ	X
ejpam-135	102	43	,	,	PUNCT
ejpam-135	102	44	(	(	PUNCT
ejpam-135	102	45	2.3	2.3	NUM
ejpam-135	102	46	)	)	PUNCT
ejpam-135	102	47	where	where	SCONJ
ejpam-135	102	48	|η|	|η|	NOUN
ejpam-135	102	49	<	<	X
ejpam-135	102	50	π	π	PROPN
ejpam-135	102	51	2	2	NUM
ejpam-135	102	52	,	,	PUNCT
ejpam-135	102	53	0≤	0≤	NUM
ejpam-135	102	54	λ	λ	X
ejpam-135	102	55	<	<	X
ejpam-135	102	56	1	1	NUM
ejpam-135	102	57	,	,	PUNCT
ejpam-135	102	58	0≤	0≤	NUM
ejpam-135	102	59	γ	γ	X
ejpam-135	102	60	<	<	X
ejpam-135	102	61	1	1	NUM
ejpam-135	102	62	and	and	CCONJ
ejpam-135	102	63	γn	γn	NOUN
ejpam-135	102	64	is	be	AUX
ejpam-135	102	65	given	give	VERB
ejpam-135	102	66	by	by	ADP
ejpam-135	102	67	(	(	PUNCT
ejpam-135	102	68	1.6	1.6	NUM
ejpam-135	102	69	)	)	PUNCT
ejpam-135	102	70	.	.	PUNCT
ejpam-135	103	1	proof	proof	NOUN
ejpam-135	103	2	.	.	PUNCT
ejpam-135	104	1	suppose	suppose	VERB
ejpam-135	104	2	the	the	DET
ejpam-135	104	3	inequality	inequality	NOUN
ejpam-135	104	4	(	(	PUNCT
ejpam-135	104	5	2.3	2.3	NUM
ejpam-135	104	6	)	)	PUNCT
ejpam-135	104	7	holds	hold	VERB
ejpam-135	104	8	true	true	ADJ
ejpam-135	104	9	.	.	PUNCT
ejpam-135	105	1	then	then	ADV
ejpam-135	105	2	we	we	PRON
ejpam-135	105	3	get	get	VERB
ejpam-135	105	4	,	,	PUNCT
ejpam-135	105	5	�	�	PROPN
ejpam-135	105	6	�	�	PROPN
ejpam-135	105	7	z(h	z(h	PROPN
ejpam-135	105	8	l	l	NOUN
ejpam-135	105	9	m	m	VERB
ejpam-135	106	1	[	[	X
ejpam-135	106	2	α1,β1	α1,β1	X
ejpam-135	106	3	]	]	X
ejpam-135	106	4	f	f	X
ejpam-135	106	5	(	(	PUNCT
ejpam-135	106	6	z	z	NOUN
ejpam-135	106	7	)	)	PUNCT
ejpam-135	106	8	)	)	PUNCT
ejpam-135	107	1	′−	′−	PUNCT
ejpam-135	108	1	[	[	X
ejpam-135	108	2	(	(	PUNCT
ejpam-135	108	3	1−λ)h	1−λ)h	NUM
ejpam-135	108	4	l	l	NOUN
ejpam-135	108	5	m	m	VERB
ejpam-135	108	6	[	[	X
ejpam-135	108	7	α1,β1	α1,β1	X
ejpam-135	108	8	]	]	X
ejpam-135	108	9	f	f	X
ejpam-135	108	10	(	(	PUNCT
ejpam-135	108	11	z	z	NOUN
ejpam-135	108	12	)	)	PUNCT
ejpam-135	108	13	+	+	ADP
ejpam-135	108	14	λz(h	λz(h	X
ejpam-135	108	15	l	l	NOUN
ejpam-135	108	16	m	m	VERB
ejpam-135	108	17	[	[	X
ejpam-135	108	18	α1,β1	α1,β1	X
ejpam-135	108	19	]	]	X
ejpam-135	108	20	f	f	X
ejpam-135	108	21	(	(	PUNCT
ejpam-135	108	22	z	z	NOUN
ejpam-135	108	23	)	)	PUNCT
ejpam-135	108	24	)	)	PUNCT
ejpam-135	109	1	′	′	NUM
ejpam-135	109	2	]	]	X
ejpam-135	109	3	�	�	PROPN
ejpam-135	109	4	�	�	PROPN
ejpam-135	109	5	−	−	PROPN
ejpam-135	109	6	(	(	PUNCT
ejpam-135	109	7	1−	1−	NUM
ejpam-135	109	8	γ	γ	NOUN
ejpam-135	109	9	)	)	PUNCT
ejpam-135	109	10	cosη	cosη	PROPN
ejpam-135	109	11	�	�	PROPN
ejpam-135	109	12	�	�	PROPN
ejpam-135	110	1	[	[	X
ejpam-135	110	2	(	(	PUNCT
ejpam-135	110	3	1−λ)h	1−λ)h	NUM
ejpam-135	110	4	l	l	NOUN
ejpam-135	110	5	m	m	VERB
ejpam-135	111	1	[	[	X
ejpam-135	111	2	α1,β1	α1,β1	X
ejpam-135	111	3	]	]	X
ejpam-135	111	4	f	f	X
ejpam-135	111	5	(	(	PUNCT
ejpam-135	111	6	z	z	NOUN
ejpam-135	111	7	)	)	PUNCT
ejpam-135	111	8	+	+	ADP
ejpam-135	111	9	λz(h	λz(h	X
ejpam-135	111	10	l	l	NOUN
ejpam-135	111	11	m	m	VERB
ejpam-135	111	12	[	[	X
ejpam-135	111	13	α1,β1	α1,β1	X
ejpam-135	111	14	]	]	X
ejpam-135	111	15	f	f	X
ejpam-135	111	16	(	(	PUNCT
ejpam-135	111	17	z	z	NOUN
ejpam-135	111	18	)	)	PUNCT
ejpam-135	111	19	)	)	PUNCT
ejpam-135	111	20	′	′	NUM
ejpam-135	111	21	]	]	X
ejpam-135	111	22	�	�	PROPN
ejpam-135	111	23	�	�	PROPN
ejpam-135	111	24	≤	≤	PROPN
ejpam-135	111	25	�	�	PROPN
ejpam-135	111	26	�	�	PROPN
ejpam-135	111	27	�	�	PROPN
ejpam-135	111	28	�	�	PROPN
ejpam-135	111	29	�	�	PROPN
ejpam-135	111	30	∞	∞	PROPN
ejpam-135	111	31	∑	∑	PROPN
ejpam-135	111	32	n=2	n=2	PRON
ejpam-135	111	33	[	[	X
ejpam-135	111	34	(	(	PUNCT
ejpam-135	111	35	n−	n−	NOUN
ejpam-135	111	36	1)(1−λ)anγnzn	1)(1−λ)anγnzn	NOUN
ejpam-135	111	37	]	]	X
ejpam-135	111	38	�	�	PROPN
ejpam-135	111	39	�	�	PROPN
ejpam-135	111	40	�	�	PROPN
ejpam-135	111	41	�	�	PROPN
ejpam-135	111	42	�	�	PROPN
ejpam-135	111	43	−	−	PROPN
ejpam-135	111	44	(	(	PUNCT
ejpam-135	111	45	1−	1−	NUM
ejpam-135	111	46	γ	γ	NOUN
ejpam-135	111	47	)	)	PUNCT
ejpam-135	111	48	cosη	cosη	PROPN
ejpam-135	111	49	�	�	PROPN
ejpam-135	111	50	�	�	PROPN
ejpam-135	111	51	�	�	PROPN
ejpam-135	111	52	�	�	PROPN
ejpam-135	111	53	�	�	PROPN
ejpam-135	111	54	z	z	PROPN
ejpam-135	112	1	+	+	CCONJ
ejpam-135	113	1	∞	∞	NUM
ejpam-135	113	2	∑	∑	PUNCT
ejpam-135	113	3	n=2	n=2	X
ejpam-135	113	4	(	(	PUNCT
ejpam-135	113	5	1	1	NUM
ejpam-135	113	6	+	+	NUM
ejpam-135	113	7	nλ−λ)anγnzn	nλ−λ)anγnzn	NOUN
ejpam-135	113	8	]	]	PUNCT
ejpam-135	113	9	�	�	PROPN
ejpam-135	113	10	�	�	PROPN
ejpam-135	113	11	�	�	PROPN
ejpam-135	113	12	�	�	PROPN
ejpam-135	113	13	�	�	PROPN
ejpam-135	113	14	≤	≤	PROPN
ejpam-135	113	15	∞	∞	PROPN
ejpam-135	113	16	∑	∑	PUNCT
ejpam-135	113	17	n=2	n=2	PRON
ejpam-135	113	18	(	(	PUNCT
ejpam-135	113	19	n−	n−	NOUN
ejpam-135	113	20	1)(1−λ)|an|γn|z|	1)(1−λ)|an|γn|z|	NOUN
ejpam-135	113	21	n−	n−	PROPN
ejpam-135	113	22	(	(	PUNCT
ejpam-135	113	23	1−	1−	NUM
ejpam-135	113	24	γ	γ	NOUN
ejpam-135	113	25	)	)	PUNCT
ejpam-135	113	26	cosη|z|+	cosη|z|+	NOUN
ejpam-135	113	27	∞	∞	NUM
ejpam-135	113	28	∑	∑	PROPN
ejpam-135	113	29	n=2	n=2	X
ejpam-135	113	30	(	(	PUNCT
ejpam-135	113	31	1−	1−	NUM
ejpam-135	113	32	γ	γ	NOUN
ejpam-135	113	33	)	)	PUNCT
ejpam-135	113	34	cosη(1	cosη(1	NOUN
ejpam-135	113	35	+	+	CCONJ
ejpam-135	113	36	nλ−	nλ−	NUM
ejpam-135	113	37	λ)|an|γn|z|	λ)|an|γn|z|	NOUN
ejpam-135	113	38	n	n	PRON
ejpam-135	113	39	g.	g.	NOUN
ejpam-135	113	40	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-135	113	41	and	and	CCONJ
ejpam-135	113	42	n.	n.	PROPN
ejpam-135	113	43	magesh	magesh	PROPN
ejpam-135	113	44	/	/	SYM
ejpam-135	113	45	eur	eur	PROPN
ejpam-135	113	46	.	.	PUNCT
ejpam-135	114	1	j.	j.	PROPN
ejpam-135	114	2	pure	pure	PROPN
ejpam-135	114	3	appl	appl	PROPN
ejpam-135	114	4	.	.	PROPN
ejpam-135	114	5	math	math	PROPN
ejpam-135	114	6	,	,	PUNCT
ejpam-135	114	7	2	2	NUM
ejpam-135	114	8	(	(	PUNCT
ejpam-135	114	9	2009	2009	NUM
ejpam-135	114	10	)	)	PUNCT
ejpam-135	114	11	,	,	PUNCT
ejpam-135	114	12	(	(	PUNCT
ejpam-135	114	13	239	239	NUM
ejpam-135	114	14	-	-	SYM
ejpam-135	114	15	249	249	NUM
ejpam-135	114	16	)	)	PUNCT
ejpam-135	114	17	244	244	NUM
ejpam-135	114	18	by	by	ADP
ejpam-135	114	19	taking	take	VERB
ejpam-135	114	20	z→	z→	PROPN
ejpam-135	114	21	1	1	NUM
ejpam-135	114	22	on	on	ADP
ejpam-135	114	23	the	the	DET
ejpam-135	114	24	real	real	ADJ
ejpam-135	114	25	axis	axis	NOUN
ejpam-135	114	26	we	we	PRON
ejpam-135	114	27	obtain	obtain	VERB
ejpam-135	114	28	≤	≤	NOUN
ejpam-135	114	29	∞	∞	NUM
ejpam-135	114	30	∑	∑	PUNCT
ejpam-135	114	31	n=2	n=2	PRON
ejpam-135	114	32	[	[	X
ejpam-135	114	33	(	(	PUNCT
ejpam-135	114	34	n−	n−	NOUN
ejpam-135	114	35	1)(1−λ	1)(1−λ	NUM
ejpam-135	114	36	)	)	PUNCT
ejpam-135	115	1	+	+	CCONJ
ejpam-135	115	2	(	(	PUNCT
ejpam-135	115	3	1−	1−	NUM
ejpam-135	115	4	γ	γ	NOUN
ejpam-135	115	5	)	)	PUNCT
ejpam-135	115	6	cosη(1	cosη(1	PROPN
ejpam-135	115	7	+	+	SYM
ejpam-135	115	8	nλ−λ)]|an|γn−	nλ−λ)]|an|γn−	NOUN
ejpam-135	115	9	(	(	PUNCT
ejpam-135	115	10	1−	1−	NUM
ejpam-135	115	11	γ	γ	NOUN
ejpam-135	115	12	)	)	PUNCT
ejpam-135	115	13	cosη	cosη	NOUN
ejpam-135	115	14	≤	≤	NUM
ejpam-135	115	15	0	0	NUM
ejpam-135	115	16	.	.	PUNCT
ejpam-135	116	1	this	this	PRON
ejpam-135	116	2	completes	complete	VERB
ejpam-135	116	3	the	the	DET
ejpam-135	116	4	proof	proof	NOUN
ejpam-135	116	5	of	of	ADP
ejpam-135	116	6	the	the	DET
ejpam-135	116	7	theorem	theorem	NOUN
ejpam-135	116	8	2.1	2.1	NUM
ejpam-135	116	9	.	.	PUNCT
ejpam-135	117	1	in	in	ADP
ejpam-135	117	2	the	the	DET
ejpam-135	117	3	view	view	NOUN
ejpam-135	117	4	of	of	ADP
ejpam-135	117	5	examples	example	NOUN
ejpam-135	117	6	1.1	1.1	NUM
ejpam-135	117	7	to	to	PART
ejpam-135	117	8	1.4	1.4	NUM
ejpam-135	117	9	,	,	PUNCT
ejpam-135	117	10	we	we	PRON
ejpam-135	117	11	state	state	VERB
ejpam-135	117	12	the	the	DET
ejpam-135	117	13	following	follow	VERB
ejpam-135	117	14	corollaries	corollary	NOUN
ejpam-135	117	15	.	.	PUNCT
ejpam-135	118	1	corollary	corollary	ADJ
ejpam-135	118	2	2.1	2.1	NUM
ejpam-135	118	3	.	.	PUNCT
ejpam-135	119	1	a	a	DET
ejpam-135	119	2	function	function	NOUN
ejpam-135	119	3	f	f	X
ejpam-135	119	4	(	(	PUNCT
ejpam-135	119	5	z	z	NOUN
ejpam-135	119	6	)	)	PUNCT
ejpam-135	119	7	of	of	ADP
ejpam-135	119	8	the	the	DET
ejpam-135	119	9	form	form	NOUN
ejpam-135	119	10	(	(	PUNCT
ejpam-135	119	11	1.1	1.1	NUM
ejpam-135	119	12	)	)	PUNCT
ejpam-135	119	13	is	be	AUX
ejpam-135	119	14	in	in	ADP
ejpam-135	119	15	s(η	s(η	PROPN
ejpam-135	119	16	,	,	PUNCT
ejpam-135	119	17	γ	γ	X
ejpam-135	119	18	,	,	PUNCT
ejpam-135	119	19	λ	λ	NOUN
ejpam-135	119	20	)	)	PUNCT
ejpam-135	119	21	if	if	SCONJ
ejpam-135	119	22	∞	∞	PROPN
ejpam-135	119	23	∑	∑	PUNCT
ejpam-135	119	24	n=2	n=2	PRON
ejpam-135	119	25	[	[	X
ejpam-135	119	26	(	(	PUNCT
ejpam-135	119	27	1−	1−	NUM
ejpam-135	119	28	λ)(n−	λ)(n−	VERB
ejpam-135	119	29	1	1	NUM
ejpam-135	119	30	)	)	PUNCT
ejpam-135	119	31	secη+	secη+	PROPN
ejpam-135	119	32	(	(	PUNCT
ejpam-135	119	33	1−	1−	NUM
ejpam-135	119	34	γ)(1	γ)(1	NOUN
ejpam-135	119	35	+	+	SYM
ejpam-135	119	36	nλ−λ	nλ−λ	NOUN
ejpam-135	119	37	)	)	PUNCT
ejpam-135	119	38	]	]	PUNCT
ejpam-135	120	1	|an|	|an|	NOUN
ejpam-135	120	2	≤	≤	NOUN
ejpam-135	120	3	1−	1−	NUM
ejpam-135	120	4	γ	γ	NOUN
ejpam-135	120	5	,	,	PUNCT
ejpam-135	120	6	where	where	SCONJ
ejpam-135	120	7	|η|	|η|	NOUN
ejpam-135	120	8	<	<	X
ejpam-135	120	9	π	π	PROPN
ejpam-135	120	10	2	2	NUM
ejpam-135	120	11	,	,	PUNCT
ejpam-135	120	12	0≤	0≤	NUM
ejpam-135	121	1	λ	λ	X
ejpam-135	121	2	<	<	X
ejpam-135	121	3	1	1	NUM
ejpam-135	121	4	and	and	CCONJ
ejpam-135	121	5	0≤	0≤	NUM
ejpam-135	121	6	γ	γ	X
ejpam-135	121	7	<	<	X
ejpam-135	121	8	1	1	NUM
ejpam-135	121	9	.	.	PUNCT
ejpam-135	121	10	remark	remark	NOUN
ejpam-135	121	11	2.1	2.1	NUM
ejpam-135	121	12	.	.	PUNCT
ejpam-135	122	1	we	we	PRON
ejpam-135	122	2	observe	observe	VERB
ejpam-135	122	3	that	that	DET
ejpam-135	122	4	corollary	corollary	ADJ
ejpam-135	122	5	2.1	2.1	NUM
ejpam-135	122	6	,	,	PUNCT
ejpam-135	122	7	yields	yield	VERB
ejpam-135	122	8	the	the	DET
ejpam-135	122	9	result	result	NOUN
ejpam-135	122	10	of	of	ADP
ejpam-135	122	11	silverman	silverman	NOUN
ejpam-135	122	12	[	[	X
ejpam-135	122	13	8	8	NUM
ejpam-135	122	14	]	]	PUNCT
ejpam-135	122	15	for	for	ADP
ejpam-135	122	16	the	the	DET
ejpam-135	122	17	special	special	ADJ
ejpam-135	122	18	values	value	NOUN
ejpam-135	122	19	of	of	ADP
ejpam-135	122	20	η	η	PROPN
ejpam-135	122	21	,	,	PUNCT
ejpam-135	122	22	λ	λ	PROPN
ejpam-135	122	23	and	and	CCONJ
ejpam-135	122	24	γ	γ	PROPN
ejpam-135	122	25	.	.	PROPN
ejpam-135	122	26	corollary	corollary	PROPN
ejpam-135	122	27	2.2	2.2	NUM
ejpam-135	122	28	.	.	PUNCT
ejpam-135	123	1	a	a	DET
ejpam-135	123	2	function	function	NOUN
ejpam-135	123	3	f	f	X
ejpam-135	123	4	(	(	PUNCT
ejpam-135	123	5	z	z	NOUN
ejpam-135	123	6	)	)	PUNCT
ejpam-135	123	7	of	of	ADP
ejpam-135	123	8	the	the	DET
ejpam-135	123	9	form	form	NOUN
ejpam-135	123	10	(	(	PUNCT
ejpam-135	123	11	1.1	1.1	NUM
ejpam-135	123	12	)	)	PUNCT
ejpam-135	123	13	is	be	AUX
ejpam-135	123	14	in	in	ADP
ejpam-135	123	15	dδ(η	dδ(η	PROPN
ejpam-135	123	16	,	,	PUNCT
ejpam-135	123	17	γ	γ	X
ejpam-135	123	18	,	,	PUNCT
ejpam-135	123	19	λ	λ	NOUN
ejpam-135	123	20	)	)	PUNCT
ejpam-135	123	21	if	if	SCONJ
ejpam-135	123	22	∞	∞	PROPN
ejpam-135	123	23	∑	∑	PUNCT
ejpam-135	123	24	n=2	n=2	PRON
ejpam-135	123	25	[	[	X
ejpam-135	123	26	(	(	PUNCT
ejpam-135	123	27	1−λ)(n−	1−λ)(n−	PROPN
ejpam-135	123	28	1	1	NUM
ejpam-135	123	29	)	)	PUNCT
ejpam-135	123	30	secη+	secη+	PROPN
ejpam-135	123	31	(	(	PUNCT
ejpam-135	123	32	1−	1−	NUM
ejpam-135	123	33	γ)(1	γ)(1	NOUN
ejpam-135	123	34	+	+	SYM
ejpam-135	123	35	nλ−λ	nλ−λ	NOUN
ejpam-135	123	36	)	)	PUNCT
ejpam-135	123	37	]	]	PUNCT
ejpam-135	124	1	(	(	PUNCT
ejpam-135	124	2	δ+	δ+	X
ejpam-135	124	3	1	1	NUM
ejpam-135	124	4	)	)	PUNCT
ejpam-135	124	5	.	.	PUNCT
ejpam-135	124	6	.	.	PUNCT
ejpam-135	124	7	.	.	PUNCT
ejpam-135	125	1	(	(	PUNCT
ejpam-135	125	2	δ+	δ+	PUNCT
ejpam-135	125	3	n−	n−	NOUN
ejpam-135	125	4	1	1	NUM
ejpam-135	125	5	)	)	PUNCT
ejpam-135	125	6	(	(	PUNCT
ejpam-135	125	7	n−	n−	NOUN
ejpam-135	125	8	1	1	NUM
ejpam-135	125	9	)	)	PUNCT
ejpam-135	125	10	!	!	PUNCT
ejpam-135	126	1	|an|	|an|	NOUN
ejpam-135	126	2	≤	≤	NOUN
ejpam-135	126	3	1−	1−	NUM
ejpam-135	126	4	γ	γ	NOUN
ejpam-135	126	5	,	,	PUNCT
ejpam-135	126	6	where	where	SCONJ
ejpam-135	126	7	|η|	|η|	NOUN
ejpam-135	126	8	<	<	X
ejpam-135	126	9	π	π	PROPN
ejpam-135	126	10	2	2	NUM
ejpam-135	126	11	,	,	PUNCT
ejpam-135	126	12	0≤	0≤	NUM
ejpam-135	127	1	λ	λ	X
ejpam-135	127	2	<	<	X
ejpam-135	127	3	1	1	NUM
ejpam-135	127	4	,	,	PUNCT
ejpam-135	127	5	0≤	0≤	NUM
ejpam-135	127	6	γ	γ	X
ejpam-135	127	7	<	<	X
ejpam-135	127	8	1	1	NUM
ejpam-135	127	9	and	and	CCONJ
ejpam-135	127	10	δ	δ	PROPN
ejpam-135	127	11	>	>	X
ejpam-135	127	12	−1	−1	NOUN
ejpam-135	127	13	.	.	PUNCT
ejpam-135	128	1	corollary	corollary	ADJ
ejpam-135	128	2	2.3	2.3	NUM
ejpam-135	128	3	.	.	PUNCT
ejpam-135	129	1	a	a	DET
ejpam-135	129	2	function	function	NOUN
ejpam-135	129	3	f	f	X
ejpam-135	129	4	(	(	PUNCT
ejpam-135	129	5	z	z	NOUN
ejpam-135	129	6	)	)	PUNCT
ejpam-135	129	7	of	of	ADP
ejpam-135	129	8	the	the	DET
ejpam-135	129	9	form	form	NOUN
ejpam-135	129	10	(	(	PUNCT
ejpam-135	129	11	1.1	1.1	NUM
ejpam-135	129	12	)	)	PUNCT
ejpam-135	129	13	is	be	AUX
ejpam-135	129	14	in	in	ADP
ejpam-135	129	15	bµ(η	bµ(η	NOUN
ejpam-135	129	16	,	,	PUNCT
ejpam-135	129	17	γ	γ	X
ejpam-135	129	18	,	,	PUNCT
ejpam-135	129	19	λ	λ	NOUN
ejpam-135	129	20	)	)	PUNCT
ejpam-135	129	21	if	if	SCONJ
ejpam-135	129	22	∞	∞	PROPN
ejpam-135	129	23	∑	∑	PUNCT
ejpam-135	129	24	n=2	n=2	PRON
ejpam-135	129	25	[	[	X
ejpam-135	129	26	(	(	PUNCT
ejpam-135	129	27	1−λ)(n−	1−λ)(n−	PROPN
ejpam-135	129	28	1	1	NUM
ejpam-135	129	29	)	)	PUNCT
ejpam-135	129	30	secη+	secη+	PROPN
ejpam-135	129	31	(	(	PUNCT
ejpam-135	129	32	1−	1−	NUM
ejpam-135	129	33	γ)(1	γ)(1	NOUN
ejpam-135	129	34	+	+	SYM
ejpam-135	129	35	nλ−λ	nλ−λ	NOUN
ejpam-135	129	36	)	)	PUNCT
ejpam-135	129	37	]	]	PUNCT
ejpam-135	129	38	�	�	PROPN
ejpam-135	130	1	µ+	µ+	PUNCT
ejpam-135	130	2	1	1	NUM
ejpam-135	130	3	µ+	µ+	X
ejpam-135	130	4	n	n	CCONJ
ejpam-135	130	5	�	�	PROPN
ejpam-135	130	6	|an|	|an|	NOUN
ejpam-135	130	7	≤	≤	NOUN
ejpam-135	130	8	1−	1−	NUM
ejpam-135	130	9	γ	γ	NOUN
ejpam-135	130	10	,	,	PUNCT
ejpam-135	130	11	where	where	SCONJ
ejpam-135	130	12	|η|	|η|	NOUN
ejpam-135	130	13	<	<	X
ejpam-135	130	14	π	π	PROPN
ejpam-135	130	15	2	2	NUM
ejpam-135	130	16	,	,	PUNCT
ejpam-135	130	17	0≤	0≤	NUM
ejpam-135	130	18	λ	λ	X
ejpam-135	130	19	<	<	X
ejpam-135	130	20	1	1	NUM
ejpam-135	130	21	,	,	PUNCT
ejpam-135	130	22	0≤	0≤	NUM
ejpam-135	130	23	γ	γ	X
ejpam-135	130	24	<	<	X
ejpam-135	130	25	1	1	NUM
ejpam-135	130	26	and	and	CCONJ
ejpam-135	130	27	µ	µ	NOUN
ejpam-135	130	28	>	>	X
ejpam-135	130	29	−1	−1	NOUN
ejpam-135	130	30	.	.	PUNCT
ejpam-135	131	1	corollary	corollary	ADJ
ejpam-135	131	2	2.4	2.4	NUM
ejpam-135	131	3	.	.	PUNCT
ejpam-135	132	1	a	a	DET
ejpam-135	132	2	function	function	NOUN
ejpam-135	132	3	f	f	X
ejpam-135	132	4	(	(	PUNCT
ejpam-135	132	5	z	z	NOUN
ejpam-135	132	6	)	)	PUNCT
ejpam-135	132	7	of	of	ADP
ejpam-135	132	8	the	the	DET
ejpam-135	132	9	form	form	NOUN
ejpam-135	132	10	(	(	PUNCT
ejpam-135	132	11	1.1	1.1	NUM
ejpam-135	132	12	)	)	PUNCT
ejpam-135	132	13	is	be	AUX
ejpam-135	132	14	in	in	ADP
ejpam-135	132	15	la	la	PROPN
ejpam-135	132	16	c	c	PROPN
ejpam-135	132	17	(	(	PUNCT
ejpam-135	132	18	η	η	PROPN
ejpam-135	132	19	,	,	PUNCT
ejpam-135	132	20	γ	γ	X
ejpam-135	132	21	,	,	PUNCT
ejpam-135	132	22	λ	λ	NOUN
ejpam-135	132	23	)	)	PUNCT
ejpam-135	132	24	if	if	SCONJ
ejpam-135	132	25	∞	∞	PROPN
ejpam-135	132	26	∑	∑	PUNCT
ejpam-135	132	27	n=2	n=2	PRON
ejpam-135	132	28	[	[	X
ejpam-135	132	29	(	(	PUNCT
ejpam-135	132	30	1−λ)(n−	1−λ)(n−	PROPN
ejpam-135	132	31	1	1	NUM
ejpam-135	132	32	)	)	PUNCT
ejpam-135	132	33	secη+	secη+	PROPN
ejpam-135	132	34	(	(	PUNCT
ejpam-135	132	35	1−	1−	NUM
ejpam-135	132	36	γ)(1	γ)(1	NOUN
ejpam-135	132	37	+	+	SYM
ejpam-135	132	38	nλ−λ	nλ−λ	NOUN
ejpam-135	132	39	)	)	PUNCT
ejpam-135	132	40	]	]	PUNCT
ejpam-135	132	41	(	(	PUNCT
ejpam-135	132	42	a)n−1	a)n−1	PROPN
ejpam-135	132	43	(	(	PUNCT
ejpam-135	132	44	c)n−1	c)n−1	NOUN
ejpam-135	132	45	|an|	|an|	VERB
ejpam-135	132	46	≤	≤	NOUN
ejpam-135	132	47	1−	1−	NUM
ejpam-135	132	48	γ	γ	NOUN
ejpam-135	132	49	,	,	PUNCT
ejpam-135	132	50	where	where	SCONJ
ejpam-135	132	51	|η|	|η|	NOUN
ejpam-135	132	52	<	<	X
ejpam-135	132	53	π	π	PROPN
ejpam-135	132	54	2	2	NUM
ejpam-135	132	55	,	,	PUNCT
ejpam-135	132	56	0≤	0≤	NUM
ejpam-135	133	1	λ	λ	X
ejpam-135	133	2	<	<	X
ejpam-135	133	3	1	1	NUM
ejpam-135	133	4	,	,	PUNCT
ejpam-135	133	5	0≤	0≤	NUM
ejpam-135	133	6	γ	γ	X
ejpam-135	133	7	<	<	X
ejpam-135	133	8	1	1	NUM
ejpam-135	133	9	and	and	CCONJ
ejpam-135	133	10	a	a	DET
ejpam-135	133	11	>	>	X
ejpam-135	133	12	0	0	NUM
ejpam-135	133	13	,	,	PUNCT
ejpam-135	133	14	c	c	NOUN
ejpam-135	133	15	>	>	X
ejpam-135	133	16	0	0	NUM
ejpam-135	133	17	.	.	PUNCT
ejpam-135	134	1	g.	g.	PROPN
ejpam-135	134	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-135	134	3	and	and	CCONJ
ejpam-135	134	4	n.	n.	PROPN
ejpam-135	134	5	magesh	magesh	PROPN
ejpam-135	134	6	/	/	SYM
ejpam-135	134	7	eur	eur	PROPN
ejpam-135	134	8	.	.	PUNCT
ejpam-135	135	1	j.	j.	PROPN
ejpam-135	135	2	pure	pure	PROPN
ejpam-135	135	3	appl	appl	PROPN
ejpam-135	135	4	.	.	PROPN
ejpam-135	135	5	math	math	PROPN
ejpam-135	135	6	,	,	PUNCT
ejpam-135	135	7	2	2	NUM
ejpam-135	135	8	(	(	PUNCT
ejpam-135	135	9	2009	2009	NUM
ejpam-135	135	10	)	)	PUNCT
ejpam-135	135	11	,	,	PUNCT
ejpam-135	135	12	(	(	PUNCT
ejpam-135	135	13	239	239	NUM
ejpam-135	135	14	-	-	SYM
ejpam-135	135	15	249	249	NUM
ejpam-135	135	16	)	)	PUNCT
ejpam-135	135	17	245	245	NUM
ejpam-135	135	18	next	next	ADV
ejpam-135	135	19	we	we	PRON
ejpam-135	135	20	obtain	obtain	VERB
ejpam-135	135	21	the	the	DET
ejpam-135	135	22	subordination	subordination	NOUN
ejpam-135	135	23	result	result	VERB
ejpam-135	135	24	for	for	ADP
ejpam-135	135	25	the	the	DET
ejpam-135	135	26	class	class	NOUN
ejpam-135	135	27	rl	rl	VERB
ejpam-135	135	28	m	m	PROPN
ejpam-135	135	29	(	(	PUNCT
ejpam-135	135	30	η	η	PROPN
ejpam-135	135	31	,	,	PUNCT
ejpam-135	135	32	γ	γ	X
ejpam-135	135	33	,	,	PUNCT
ejpam-135	135	34	λ	λ	NOUN
ejpam-135	135	35	)	)	PUNCT
ejpam-135	135	36	.	.	PUNCT
ejpam-135	136	1	theorem	theorem	VERB
ejpam-135	136	2	2.2	2.2	NUM
ejpam-135	136	3	.	.	PUNCT
ejpam-135	137	1	let	let	VERB
ejpam-135	137	2	f	f	PROPN
ejpam-135	137	3	∈	∈	PROPN
ejpam-135	137	4	rl	rl	PRON
ejpam-135	137	5	m	m	PROPN
ejpam-135	137	6	(	(	PUNCT
ejpam-135	137	7	η	η	PROPN
ejpam-135	137	8	,	,	PUNCT
ejpam-135	137	9	γ	γ	X
ejpam-135	137	10	,	,	PUNCT
ejpam-135	137	11	λ	λ	NOUN
ejpam-135	137	12	)	)	PUNCT
ejpam-135	137	13	and	and	CCONJ
ejpam-135	137	14	g(z	g(z	PROPN
ejpam-135	137	15	)	)	PUNCT
ejpam-135	137	16	be	be	VERB
ejpam-135	137	17	any	any	DET
ejpam-135	137	18	function	function	NOUN
ejpam-135	137	19	in	in	ADP
ejpam-135	137	20	the	the	DET
ejpam-135	137	21	usual	usual	ADJ
ejpam-135	137	22	class	class	NOUN
ejpam-135	137	23	of	of	ADP
ejpam-135	137	24	convex	convex	NOUN
ejpam-135	137	25	functions	function	NOUN
ejpam-135	137	26	c	c	NOUN
ejpam-135	137	27	,	,	PUNCT
ejpam-135	137	28	then	then	ADV
ejpam-135	137	29	(	(	PUNCT
ejpam-135	137	30	(	(	PUNCT
ejpam-135	137	31	1−λ	1−λ	NUM
ejpam-135	137	32	)	)	PUNCT
ejpam-135	137	33	secη+	secη+	X
ejpam-135	137	34	(	(	PUNCT
ejpam-135	137	35	1−	1−	NUM
ejpam-135	137	36	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	137	37	2[1−	2[1−	NOUN
ejpam-135	137	38	γ+	γ+	PUNCT
ejpam-135	137	39	(	(	PUNCT
ejpam-135	137	40	(	(	PUNCT
ejpam-135	137	41	1−λ	1−λ	NUM
ejpam-135	137	42	)	)	PUNCT
ejpam-135	137	43	secη+	secη+	X
ejpam-135	137	44	(	(	PUNCT
ejpam-135	137	45	1−	1−	NUM
ejpam-135	137	46	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	137	47	]	]	X
ejpam-135	137	48	(	(	PUNCT
ejpam-135	137	49	f	f	PROPN
ejpam-135	137	50	∗	∗	PROPN
ejpam-135	137	51	g)(z	g)(z	NOUN
ejpam-135	137	52	)	)	PUNCT
ejpam-135	137	53	≺	≺	NOUN
ejpam-135	137	54	g(z	g(z	PROPN
ejpam-135	137	55	)	)	PUNCT
ejpam-135	137	56	(	(	PUNCT
ejpam-135	137	57	2.4	2.4	NUM
ejpam-135	137	58	)	)	PUNCT
ejpam-135	137	59	where	where	SCONJ
ejpam-135	137	60	|η|	|η|	NOUN
ejpam-135	137	61	<	<	X
ejpam-135	137	62	π	π	PROPN
ejpam-135	137	63	2	2	NUM
ejpam-135	137	64	,	,	PUNCT
ejpam-135	137	65	0≤	0≤	NUM
ejpam-135	137	66	γ	γ	X
ejpam-135	137	67	<	<	X
ejpam-135	137	68	1	1	NUM
ejpam-135	137	69	;	;	PUNCT
ejpam-135	137	70	0	0	NUM
ejpam-135	137	71	≤	≤	NUM
ejpam-135	138	1	λ	λ	X
ejpam-135	138	2	<	<	X
ejpam-135	138	3	1	1	NUM
ejpam-135	138	4	,	,	PUNCT
ejpam-135	138	5	with	with	ADP
ejpam-135	138	6	γ2	γ2	NOUN
ejpam-135	138	7	=	=	SYM
ejpam-135	138	8	α1	α1	PROPN
ejpam-135	138	9	.	.	PUNCT
ejpam-135	138	10	.	.	PUNCT
ejpam-135	138	11	.αl	.αl	PUNCT
ejpam-135	139	1	β1	β1	NOUN
ejpam-135	139	2	.	.	PUNCT
ejpam-135	139	3	.	.	PUNCT
ejpam-135	139	4	.βm	.βm	PUNCT
ejpam-135	140	1	(	(	PUNCT
ejpam-135	140	2	2.5	2.5	NUM
ejpam-135	140	3	)	)	PUNCT
ejpam-135	140	4	and	and	CCONJ
ejpam-135	140	5	re	re	ADJ
ejpam-135	140	6	�	�	PROPN
ejpam-135	140	7	f	f	PROPN
ejpam-135	140	8	(	(	PUNCT
ejpam-135	140	9	z	z	PROPN
ejpam-135	140	10	)	)	PUNCT
ejpam-135	140	11	>	>	PUNCT
ejpam-135	140	12	−	−	PROPN
ejpam-135	141	1	[	[	X
ejpam-135	141	2	1−	1−	NUM
ejpam-135	141	3	γ+	γ+	PUNCT
ejpam-135	141	4	(	(	PUNCT
ejpam-135	141	5	(	(	PUNCT
ejpam-135	141	6	1−λ	1−λ	NUM
ejpam-135	141	7	)	)	PUNCT
ejpam-135	141	8	secη+	secη+	X
ejpam-135	141	9	(	(	PUNCT
ejpam-135	141	10	1−	1−	NUM
ejpam-135	141	11	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	141	12	]	]	X
ejpam-135	141	13	(	(	PUNCT
ejpam-135	141	14	(	(	PUNCT
ejpam-135	141	15	1−λ	1−λ	NUM
ejpam-135	141	16	)	)	PUNCT
ejpam-135	141	17	secη+	secη+	X
ejpam-135	141	18	(	(	PUNCT
ejpam-135	141	19	1−	1−	NUM
ejpam-135	141	20	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	141	21	,	,	PUNCT
ejpam-135	141	22	z	z	PROPN
ejpam-135	141	23	∈	∈	PROPN
ejpam-135	141	24	u	u	PROPN
ejpam-135	141	25	.	.	PUNCT
ejpam-135	141	26	(	(	PUNCT
ejpam-135	141	27	2.6	2.6	NUM
ejpam-135	141	28	)	)	PUNCT
ejpam-135	141	29	the	the	DET
ejpam-135	141	30	constant	constant	ADJ
ejpam-135	141	31	factor	factor	NOUN
ejpam-135	141	32	(	(	PUNCT
ejpam-135	141	33	(	(	PUNCT
ejpam-135	141	34	1−λ	1−λ	NUM
ejpam-135	141	35	)	)	PUNCT
ejpam-135	141	36	secη+(1−γ)(1+λ))γ2	secη+(1−γ)(1+λ))γ2	NOUN
ejpam-135	141	37	2[1−γ+((1−λ	2[1−γ+((1−λ	NUM
ejpam-135	141	38	)	)	PUNCT
ejpam-135	141	39	sec	sec	PROPN
ejpam-135	141	40	η+(1−γ)(1+λ))γ2	η+(1−γ)(1+λ))γ2	PROPN
ejpam-135	141	41	]	]	PUNCT
ejpam-135	141	42	in	in	ADP
ejpam-135	141	43	(	(	PUNCT
ejpam-135	141	44	2.4	2.4	NUM
ejpam-135	141	45	)	)	PUNCT
ejpam-135	141	46	can	can	AUX
ejpam-135	141	47	not	not	PART
ejpam-135	141	48	be	be	AUX
ejpam-135	141	49	replaced	replace	VERB
ejpam-135	141	50	by	by	ADP
ejpam-135	141	51	a	a	DET
ejpam-135	141	52	larger	large	ADJ
ejpam-135	141	53	number	number	NOUN
ejpam-135	141	54	.	.	PUNCT
ejpam-135	142	1	proof	proof	NOUN
ejpam-135	142	2	.	.	PUNCT
ejpam-135	143	1	let	let	VERB
ejpam-135	143	2	f	f	PROPN
ejpam-135	143	3	∈	∈	PROPN
ejpam-135	143	4	rl	rl	PRON
ejpam-135	143	5	m	m	PROPN
ejpam-135	143	6	(	(	PUNCT
ejpam-135	143	7	η	η	PROPN
ejpam-135	143	8	,	,	PUNCT
ejpam-135	143	9	γ	γ	X
ejpam-135	143	10	,	,	PUNCT
ejpam-135	143	11	λ	λ	NOUN
ejpam-135	143	12	)	)	PUNCT
ejpam-135	143	13	and	and	CCONJ
ejpam-135	143	14	suppose	suppose	VERB
ejpam-135	143	15	that	that	SCONJ
ejpam-135	143	16	g(z	g(z	ADJ
ejpam-135	143	17	)	)	PUNCT
ejpam-135	143	18	=	=	SYM
ejpam-135	144	1	z	z	NOUN
ejpam-135	145	1	+	+	NUM
ejpam-135	145	2	∞	∞	NUM
ejpam-135	145	3	∑	∑	PUNCT
ejpam-135	145	4	n=2	n=2	ADV
ejpam-135	145	5	cnzn	cnzn	NOUN
ejpam-135	145	6	∈	∈	PROPN
ejpam-135	145	7	c	c	NOUN
ejpam-135	145	8	.	.	PUNCT
ejpam-135	146	1	then	then	ADV
ejpam-135	146	2	(	(	PUNCT
ejpam-135	146	3	(	(	PUNCT
ejpam-135	146	4	1−	1−	NUM
ejpam-135	146	5	λ	λ	NOUN
ejpam-135	146	6	)	)	PUNCT
ejpam-135	146	7	secη+	secη+	PROPN
ejpam-135	146	8	(	(	PUNCT
ejpam-135	146	9	1−	1−	NUM
ejpam-135	146	10	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	146	11	2[1−	2[1−	NOUN
ejpam-135	146	12	γ+	γ+	PUNCT
ejpam-135	146	13	(	(	PUNCT
ejpam-135	146	14	(	(	PUNCT
ejpam-135	146	15	1−λ	1−λ	NUM
ejpam-135	146	16	)	)	PUNCT
ejpam-135	146	17	secη+	secη+	X
ejpam-135	146	18	(	(	PUNCT
ejpam-135	146	19	1−	1−	NUM
ejpam-135	146	20	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	146	21	]	]	X
ejpam-135	147	1	(	(	PUNCT
ejpam-135	147	2	f	f	PROPN
ejpam-135	147	3	∗	∗	PROPN
ejpam-135	147	4	g)(z	g)(z	PUNCT
ejpam-135	147	5	)	)	PUNCT
ejpam-135	147	6	=	=	SYM
ejpam-135	147	7	(	(	PUNCT
ejpam-135	147	8	(	(	PUNCT
ejpam-135	147	9	1−λ	1−λ	NUM
ejpam-135	147	10	)	)	PUNCT
ejpam-135	147	11	secη+	secη+	X
ejpam-135	147	12	(	(	PUNCT
ejpam-135	147	13	1−	1−	NUM
ejpam-135	147	14	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	147	15	2[1−	2[1−	NOUN
ejpam-135	147	16	γ+	γ+	PUNCT
ejpam-135	147	17	(	(	PUNCT
ejpam-135	147	18	(	(	PUNCT
ejpam-135	147	19	1−λ	1−λ	NUM
ejpam-135	147	20	)	)	PUNCT
ejpam-135	147	21	secη+	secη+	X
ejpam-135	147	22	(	(	PUNCT
ejpam-135	147	23	1−	1−	NUM
ejpam-135	147	24	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	147	25	]	]	X
ejpam-135	147	26	z+	z+	NUM
ejpam-135	147	27	∞	∞	PROPN
ejpam-135	147	28	∑	∑	PUNCT
ejpam-135	147	29	n=2	n=2	PRON
ejpam-135	147	30	cnanzn	cnanzn	NOUN
ejpam-135	147	31	!	!	PUNCT
ejpam-135	147	32	.	.	PUNCT
ejpam-135	148	1	(	(	PUNCT
ejpam-135	148	2	2.7	2.7	NUM
ejpam-135	148	3	)	)	PUNCT
ejpam-135	148	4	thus	thus	ADV
ejpam-135	148	5	,	,	PUNCT
ejpam-135	148	6	by	by	ADP
ejpam-135	148	7	definition	definition	NOUN
ejpam-135	148	8	2.2	2.2	NUM
ejpam-135	148	9	,	,	PUNCT
ejpam-135	148	10	the	the	DET
ejpam-135	148	11	subordination	subordination	NOUN
ejpam-135	148	12	result	result	VERB
ejpam-135	148	13	holds	hold	VERB
ejpam-135	148	14	true	true	ADJ
ejpam-135	148	15	if	if	SCONJ
ejpam-135	148	16	�	�	PROPN
ejpam-135	148	17	(	(	PUNCT
ejpam-135	148	18	(	(	PUNCT
ejpam-135	148	19	1−λ	1−λ	NUM
ejpam-135	148	20	)	)	PUNCT
ejpam-135	148	21	secη+	secη+	X
ejpam-135	148	22	(	(	PUNCT
ejpam-135	148	23	1−	1−	NUM
ejpam-135	148	24	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	148	25	2[1−	2[1−	NOUN
ejpam-135	148	26	γ+	γ+	PUNCT
ejpam-135	148	27	(	(	PUNCT
ejpam-135	148	28	(	(	PUNCT
ejpam-135	148	29	1−λ	1−λ	NUM
ejpam-135	148	30	)	)	PUNCT
ejpam-135	148	31	secη+	secη+	X
ejpam-135	148	32	(	(	PUNCT
ejpam-135	148	33	1−	1−	NUM
ejpam-135	148	34	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	148	35	]	]	X
ejpam-135	148	36	an	an	DET
ejpam-135	148	37	�	�	PROPN
ejpam-135	148	38	∞	∞	NUM
ejpam-135	148	39	n=1	n=1	PROPN
ejpam-135	148	40	is	be	AUX
ejpam-135	148	41	a	a	DET
ejpam-135	148	42	subordinating	subordinate	VERB
ejpam-135	148	43	factor	factor	NOUN
ejpam-135	148	44	sequence	sequence	NOUN
ejpam-135	148	45	,	,	PUNCT
ejpam-135	148	46	with	with	ADP
ejpam-135	148	47	a1	a1	NOUN
ejpam-135	148	48	=	=	SYM
ejpam-135	148	49	1	1	X
ejpam-135	148	50	.	.	PUNCT
ejpam-135	149	1	in	in	ADP
ejpam-135	149	2	view	view	NOUN
ejpam-135	149	3	of	of	ADP
ejpam-135	149	4	lemma	lemma	PROPN
ejpam-135	149	5	2.1	2.1	NUM
ejpam-135	149	6	,	,	PUNCT
ejpam-135	149	7	this	this	PRON
ejpam-135	149	8	is	be	AUX
ejpam-135	149	9	equivalent	equivalent	ADJ
ejpam-135	149	10	to	to	ADP
ejpam-135	149	11	the	the	DET
ejpam-135	149	12	following	follow	VERB
ejpam-135	149	13	inequality	inequality	NOUN
ejpam-135	149	14	re	re	ADP
ejpam-135	149	15	(	(	PUNCT
ejpam-135	149	16	1	1	NUM
ejpam-135	149	17	+	+	NUM
ejpam-135	149	18	∞	∞	NUM
ejpam-135	149	19	∑	∑	PUNCT
ejpam-135	149	20	n=1	n=1	PROPN
ejpam-135	149	21	(	(	PUNCT
ejpam-135	149	22	(	(	PUNCT
ejpam-135	149	23	1−λ	1−λ	NUM
ejpam-135	149	24	)	)	PUNCT
ejpam-135	149	25	secη+	secη+	X
ejpam-135	149	26	(	(	PUNCT
ejpam-135	149	27	1−	1−	NUM
ejpam-135	149	28	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	150	1	[	[	X
ejpam-135	150	2	1−	1−	NUM
ejpam-135	150	3	γ+	γ+	PUNCT
ejpam-135	150	4	(	(	PUNCT
ejpam-135	150	5	(	(	PUNCT
ejpam-135	150	6	1−λ	1−λ	NUM
ejpam-135	150	7	)	)	PUNCT
ejpam-135	150	8	secη+	secη+	X
ejpam-135	150	9	(	(	PUNCT
ejpam-135	150	10	1−	1−	NUM
ejpam-135	150	11	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	150	12	]	]	X
ejpam-135	150	13	anzn	anzn	NOUN
ejpam-135	150	14	)	)	PUNCT
ejpam-135	150	15	>	>	X
ejpam-135	150	16	0	0	NUM
ejpam-135	150	17	,	,	PUNCT
ejpam-135	150	18	z	z	PROPN
ejpam-135	150	19	∈	∈	PROPN
ejpam-135	150	20	u	u	NOUN
ejpam-135	150	21	.	.	PUNCT
ejpam-135	151	1	(	(	PUNCT
ejpam-135	151	2	2.8	2.8	NUM
ejpam-135	151	3	)	)	PUNCT
ejpam-135	151	4	g.	g.	PROPN
ejpam-135	151	5	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-135	151	6	and	and	CCONJ
ejpam-135	151	7	n.	n.	PROPN
ejpam-135	151	8	magesh	magesh	PROPN
ejpam-135	151	9	/	/	SYM
ejpam-135	151	10	eur	eur	PROPN
ejpam-135	151	11	.	.	PUNCT
ejpam-135	152	1	j.	j.	PROPN
ejpam-135	152	2	pure	pure	PROPN
ejpam-135	152	3	appl	appl	PROPN
ejpam-135	152	4	.	.	PROPN
ejpam-135	152	5	math	math	PROPN
ejpam-135	152	6	,	,	PUNCT
ejpam-135	152	7	2	2	NUM
ejpam-135	152	8	(	(	PUNCT
ejpam-135	152	9	2009	2009	NUM
ejpam-135	152	10	)	)	PUNCT
ejpam-135	152	11	,	,	PUNCT
ejpam-135	152	12	(	(	PUNCT
ejpam-135	152	13	239	239	NUM
ejpam-135	152	14	-	-	SYM
ejpam-135	152	15	249	249	NUM
ejpam-135	152	16	)	)	PUNCT
ejpam-135	152	17	246	246	NUM
ejpam-135	152	18	by	by	ADP
ejpam-135	152	19	noting	note	VERB
ejpam-135	152	20	the	the	DET
ejpam-135	152	21	fact	fact	NOUN
ejpam-135	152	22	that	that	SCONJ
ejpam-135	152	23	(	(	PUNCT
ejpam-135	152	24	(	(	PUNCT
ejpam-135	152	25	1−λ)(n−1	1−λ)(n−1	NUM
ejpam-135	152	26	)	)	PUNCT
ejpam-135	152	27	sec	sec	PROPN
ejpam-135	152	28	η+(1−γ)(1+nλ−λ))γn	η+(1−γ)(1+nλ−λ))γn	PROPN
ejpam-135	152	29	(	(	PUNCT
ejpam-135	152	30	1−γ	1−γ	NUM
ejpam-135	152	31	)	)	PUNCT
ejpam-135	152	32	is	be	AUX
ejpam-135	152	33	increasing	increase	VERB
ejpam-135	152	34	function	function	NOUN
ejpam-135	152	35	for	for	ADP
ejpam-135	152	36	n	n	X
ejpam-135	152	37	≥	≥	NOUN
ejpam-135	152	38	2	2	NUM
ejpam-135	152	39	and	and	CCONJ
ejpam-135	152	40	in	in	ADP
ejpam-135	152	41	particular	particular	ADJ
ejpam-135	152	42	(	(	PUNCT
ejpam-135	152	43	(	(	PUNCT
ejpam-135	152	44	1−λ	1−λ	NUM
ejpam-135	152	45	)	)	PUNCT
ejpam-135	152	46	secη+	secη+	X
ejpam-135	152	47	(	(	PUNCT
ejpam-135	152	48	1−	1−	NUM
ejpam-135	152	49	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	152	50	(	(	PUNCT
ejpam-135	152	51	1−	1−	NUM
ejpam-135	152	52	γ	γ	NOUN
ejpam-135	152	53	)	)	PUNCT
ejpam-135	152	54	≤	≤	NOUN
ejpam-135	152	55	(	(	PUNCT
ejpam-135	152	56	(	(	PUNCT
ejpam-135	152	57	1−λ)(n−	1−λ)(n−	PROPN
ejpam-135	152	58	1	1	NUM
ejpam-135	152	59	)	)	PUNCT
ejpam-135	152	60	secη+	secη+	PROPN
ejpam-135	152	61	(	(	PUNCT
ejpam-135	152	62	1−	1−	NUM
ejpam-135	152	63	γ)(1	γ)(1	NOUN
ejpam-135	152	64	+	+	SYM
ejpam-135	152	65	nλ−λ))γn	nλ−λ))γn	ADJ
ejpam-135	152	66	(	(	PUNCT
ejpam-135	152	67	1−	1−	NUM
ejpam-135	152	68	γ	γ	X
ejpam-135	152	69	)	)	PUNCT
ejpam-135	152	70	,	,	PUNCT
ejpam-135	152	71	n≥	n≥	PROPN
ejpam-135	152	72	2	2	NUM
ejpam-135	152	73	,	,	PUNCT
ejpam-135	152	74	|η|	|η|	PROPN
ejpam-135	152	75	<	<	X
ejpam-135	152	76	π	π	PROPN
ejpam-135	152	77	2	2	NUM
ejpam-135	152	78	,	,	PUNCT
ejpam-135	152	79	therefore	therefore	ADV
ejpam-135	152	80	,	,	PUNCT
ejpam-135	152	81	for	for	ADP
ejpam-135	152	82	|z|=	|z|=	NOUN
ejpam-135	152	83	r	r	NOUN
ejpam-135	152	84	<	<	X
ejpam-135	152	85	1	1	NUM
ejpam-135	152	86	,	,	PUNCT
ejpam-135	152	87	we	we	PRON
ejpam-135	152	88	have	have	AUX
ejpam-135	152	89	re	re	VERB
ejpam-135	152	90	(	(	PUNCT
ejpam-135	152	91	1	1	NUM
ejpam-135	152	92	+	+	NUM
ejpam-135	152	93	(	(	PUNCT
ejpam-135	152	94	(	(	PUNCT
ejpam-135	152	95	1−λ	1−λ	NUM
ejpam-135	152	96	)	)	PUNCT
ejpam-135	152	97	secη+	secη+	X
ejpam-135	152	98	(	(	PUNCT
ejpam-135	152	99	1−	1−	NUM
ejpam-135	152	100	γ)(1	γ)(1	NOUN
ejpam-135	152	101	+	+	CCONJ
ejpam-135	152	102	λ))γ2	λ))γ2	X
ejpam-135	153	1	[	[	X
ejpam-135	153	2	1−	1−	NUM
ejpam-135	153	3	γ+	γ+	PUNCT
ejpam-135	153	4	(	(	PUNCT
ejpam-135	153	5	(	(	PUNCT
ejpam-135	153	6	1−λ	1−λ	NUM
ejpam-135	153	7	)	)	PUNCT
ejpam-135	153	8	secη+	secη+	X
ejpam-135	153	9	(	(	PUNCT
ejpam-135	153	10	1−	1−	NUM
ejpam-135	153	11	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	153	12	]	]	X
ejpam-135	153	13	∞	∞	NUM
ejpam-135	153	14	∑	∑	PUNCT
ejpam-135	153	15	n=1	n=1	PROPN
ejpam-135	153	16	anzn	anzn	NOUN
ejpam-135	153	17	)	)	PUNCT
ejpam-135	153	18	=	=	SYM
ejpam-135	153	19	re	re	X
ejpam-135	153	20	�	�	PROPN
ejpam-135	153	21	1	1	NUM
ejpam-135	153	22	+	+	CCONJ
ejpam-135	153	23	(	(	PUNCT
ejpam-135	153	24	(	(	PUNCT
ejpam-135	153	25	1−λ	1−λ	NUM
ejpam-135	153	26	)	)	PUNCT
ejpam-135	153	27	secη+	secη+	X
ejpam-135	153	28	(	(	PUNCT
ejpam-135	153	29	1−	1−	NUM
ejpam-135	153	30	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	154	1	[	[	X
ejpam-135	154	2	1−	1−	NUM
ejpam-135	154	3	γ+	γ+	PUNCT
ejpam-135	154	4	(	(	PUNCT
ejpam-135	154	5	(	(	PUNCT
ejpam-135	154	6	1−λ	1−λ	NUM
ejpam-135	154	7	)	)	PUNCT
ejpam-135	154	8	secη+	secη+	X
ejpam-135	154	9	(	(	PUNCT
ejpam-135	154	10	1−	1−	NUM
ejpam-135	154	11	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	154	12	]	]	X
ejpam-135	154	13	z+	z+	NUM
ejpam-135	154	14	∞	∞	PROPN
ejpam-135	154	15	∑	∑	PUNCT
ejpam-135	154	16	n=2	n=2	X
ejpam-135	154	17	(	(	PUNCT
ejpam-135	154	18	(	(	PUNCT
ejpam-135	154	19	1−λ	1−λ	NUM
ejpam-135	154	20	)	)	PUNCT
ejpam-135	154	21	secη+	secη+	X
ejpam-135	154	22	(	(	PUNCT
ejpam-135	154	23	1−	1−	NUM
ejpam-135	154	24	γ)(1+λ))γ2anzn	γ)(1+λ))γ2anzn	NOUN
ejpam-135	155	1	[	[	X
ejpam-135	155	2	1−	1−	NUM
ejpam-135	155	3	γ+	γ+	PUNCT
ejpam-135	155	4	(	(	PUNCT
ejpam-135	155	5	(	(	PUNCT
ejpam-135	155	6	1−λ	1−λ	NUM
ejpam-135	155	7	)	)	PUNCT
ejpam-135	155	8	secη+	secη+	X
ejpam-135	155	9	(	(	PUNCT
ejpam-135	155	10	1−	1−	NUM
ejpam-135	155	11	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	155	12	]	]	X
ejpam-135	155	13	�	�	PROPN
ejpam-135	155	14	≥	≥	NUM
ejpam-135	155	15	1−	1−	NUM
ejpam-135	155	16	(	(	PUNCT
ejpam-135	155	17	(	(	PUNCT
ejpam-135	155	18	1−λ	1−λ	NUM
ejpam-135	155	19	)	)	PUNCT
ejpam-135	155	20	secη+	secη+	X
ejpam-135	155	21	(	(	PUNCT
ejpam-135	155	22	1−	1−	NUM
ejpam-135	155	23	γ)(1	γ)(1	NOUN
ejpam-135	155	24	+	+	CCONJ
ejpam-135	155	25	λ))γ2	λ))γ2	X
ejpam-135	155	26	[	[	X
ejpam-135	155	27	1−	1−	NUM
ejpam-135	155	28	γ+	γ+	PUNCT
ejpam-135	155	29	(	(	PUNCT
ejpam-135	155	30	(	(	PUNCT
ejpam-135	155	31	1−λ	1−λ	NUM
ejpam-135	155	32	)	)	PUNCT
ejpam-135	155	33	secη+	secη+	X
ejpam-135	155	34	(	(	PUNCT
ejpam-135	155	35	1−	1−	NUM
ejpam-135	155	36	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	155	37	]	]	X
ejpam-135	156	1	r	r	NOUN
ejpam-135	156	2	−	−	NUM
ejpam-135	156	3	1	1	NUM
ejpam-135	157	1	[	[	X
ejpam-135	157	2	1−	1−	NUM
ejpam-135	157	3	γ+	γ+	PUNCT
ejpam-135	157	4	(	(	PUNCT
ejpam-135	157	5	(	(	PUNCT
ejpam-135	157	6	1−λ	1−λ	NUM
ejpam-135	157	7	)	)	PUNCT
ejpam-135	157	8	secη+	secη+	X
ejpam-135	157	9	(	(	PUNCT
ejpam-135	157	10	1−	1−	NUM
ejpam-135	157	11	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	157	12	]	]	X
ejpam-135	157	13	×	×	NOUN
ejpam-135	157	14	∞	∞	PROPN
ejpam-135	157	15	∑	∑	PROPN
ejpam-135	157	16	n=2	n=2	X
ejpam-135	157	17	(	(	PUNCT
ejpam-135	157	18	(	(	PUNCT
ejpam-135	157	19	1−λ)(n−	1−λ)(n−	PROPN
ejpam-135	157	20	1	1	NUM
ejpam-135	157	21	)	)	PUNCT
ejpam-135	157	22	secη+	secη+	PROPN
ejpam-135	157	23	(	(	PUNCT
ejpam-135	157	24	1−	1−	NUM
ejpam-135	157	25	γ)(1	γ)(1	NOUN
ejpam-135	157	26	+	+	CCONJ
ejpam-135	157	27	nλ−λ))γn|an|r	nλ−λ))γn|an|r	PROPN
ejpam-135	157	28	n	n	PRON
ejpam-135	157	29	≥	≥	NOUN
ejpam-135	157	30	1−	1−	NUM
ejpam-135	157	31	(	(	PUNCT
ejpam-135	157	32	(	(	PUNCT
ejpam-135	157	33	1−λ	1−λ	NUM
ejpam-135	157	34	)	)	PUNCT
ejpam-135	157	35	secη+	secη+	X
ejpam-135	157	36	(	(	PUNCT
ejpam-135	157	37	1−	1−	NUM
ejpam-135	157	38	γ)(1	γ)(1	NOUN
ejpam-135	157	39	+	+	CCONJ
ejpam-135	157	40	λ))γ2	λ))γ2	X
ejpam-135	157	41	[	[	X
ejpam-135	157	42	1−	1−	NUM
ejpam-135	157	43	γ+	γ+	PUNCT
ejpam-135	157	44	(	(	PUNCT
ejpam-135	157	45	(	(	PUNCT
ejpam-135	157	46	1−λ	1−λ	NUM
ejpam-135	157	47	)	)	PUNCT
ejpam-135	157	48	secη+	secη+	X
ejpam-135	157	49	(	(	PUNCT
ejpam-135	157	50	1−	1−	NUM
ejpam-135	157	51	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	157	52	]	]	X
ejpam-135	157	53	r	r	NOUN
ejpam-135	157	54	−	−	PROPN
ejpam-135	157	55	1−	1−	NUM
ejpam-135	157	56	γ	γ	PROPN
ejpam-135	157	57	[	[	X
ejpam-135	157	58	1−	1−	NUM
ejpam-135	157	59	γ+	γ+	PUNCT
ejpam-135	157	60	(	(	PUNCT
ejpam-135	157	61	(	(	PUNCT
ejpam-135	157	62	1−λ	1−λ	NUM
ejpam-135	157	63	)	)	PUNCT
ejpam-135	157	64	secη+	secη+	X
ejpam-135	157	65	(	(	PUNCT
ejpam-135	157	66	1−	1−	NUM
ejpam-135	157	67	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	157	68	]	]	X
ejpam-135	157	69	r	r	NOUN
ejpam-135	157	70	>	>	X
ejpam-135	157	71	0	0	NUM
ejpam-135	157	72	,	,	PUNCT
ejpam-135	157	73	|z|=	|z|=	VERB
ejpam-135	157	74	r	r	NOUN
ejpam-135	157	75	<	<	X
ejpam-135	157	76	1	1	NUM
ejpam-135	157	77	,	,	PUNCT
ejpam-135	157	78	where	where	SCONJ
ejpam-135	157	79	we	we	PRON
ejpam-135	157	80	have	have	AUX
ejpam-135	157	81	also	also	ADV
ejpam-135	157	82	made	make	VERB
ejpam-135	157	83	use	use	NOUN
ejpam-135	157	84	of	of	ADP
ejpam-135	157	85	the	the	DET
ejpam-135	157	86	assertion	assertion	NOUN
ejpam-135	157	87	(	(	PUNCT
ejpam-135	157	88	2.3	2.3	NUM
ejpam-135	157	89	)	)	PUNCT
ejpam-135	157	90	of	of	ADP
ejpam-135	157	91	theorem	theorem	ADJ
ejpam-135	157	92	2.1	2.1	NUM
ejpam-135	157	93	.	.	PUNCT
ejpam-135	158	1	this	this	PRON
ejpam-135	158	2	evidently	evidently	ADV
ejpam-135	158	3	proves	prove	VERB
ejpam-135	158	4	the	the	DET
ejpam-135	158	5	inequality	inequality	NOUN
ejpam-135	158	6	(	(	PUNCT
ejpam-135	158	7	2.8	2.8	NUM
ejpam-135	158	8	)	)	PUNCT
ejpam-135	158	9	and	and	CCONJ
ejpam-135	158	10	hence	hence	ADV
ejpam-135	158	11	also	also	ADV
ejpam-135	158	12	the	the	DET
ejpam-135	158	13	subordination	subordination	NOUN
ejpam-135	158	14	result	result	NOUN
ejpam-135	158	15	(	(	PUNCT
ejpam-135	158	16	2.4	2.4	NUM
ejpam-135	158	17	)	)	PUNCT
ejpam-135	158	18	asserted	assert	VERB
ejpam-135	158	19	by	by	ADP
ejpam-135	158	20	theorem	theorem	NOUN
ejpam-135	158	21	2.2	2.2	NUM
ejpam-135	158	22	.	.	PUNCT
ejpam-135	159	1	the	the	DET
ejpam-135	159	2	inequality	inequality	NOUN
ejpam-135	159	3	(	(	PUNCT
ejpam-135	159	4	2.6	2.6	NUM
ejpam-135	159	5	)	)	PUNCT
ejpam-135	159	6	follows	follow	VERB
ejpam-135	159	7	from	from	ADP
ejpam-135	159	8	(	(	PUNCT
ejpam-135	159	9	2.4	2.4	NUM
ejpam-135	159	10	)	)	PUNCT
ejpam-135	159	11	by	by	ADP
ejpam-135	159	12	taking	take	VERB
ejpam-135	159	13	g(z	g(z	PROPN
ejpam-135	159	14	)	)	PUNCT
ejpam-135	160	1	=	=	PUNCT
ejpam-135	160	2	z	z	NOUN
ejpam-135	160	3	1−	1−	NUM
ejpam-135	160	4	z	z	NOUN
ejpam-135	160	5	=	=	SYM
ejpam-135	161	1	z	z	NOUN
ejpam-135	162	1	+	+	NUM
ejpam-135	162	2	∞	∞	NUM
ejpam-135	162	3	∑	∑	PUNCT
ejpam-135	162	4	n=2	n=2	ADV
ejpam-135	162	5	zn	zn	PROPN
ejpam-135	162	6	∈	∈	PROPN
ejpam-135	162	7	c	c	PROPN
ejpam-135	162	8	.	.	PUNCT
ejpam-135	163	1	g.	g.	PROPN
ejpam-135	163	2	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-135	163	3	and	and	CCONJ
ejpam-135	163	4	n.	n.	PROPN
ejpam-135	163	5	magesh	magesh	PROPN
ejpam-135	163	6	/	/	SYM
ejpam-135	163	7	eur	eur	PROPN
ejpam-135	163	8	.	.	PUNCT
ejpam-135	164	1	j.	j.	PROPN
ejpam-135	164	2	pure	pure	PROPN
ejpam-135	164	3	appl	appl	PROPN
ejpam-135	164	4	.	.	PROPN
ejpam-135	164	5	math	math	PROPN
ejpam-135	164	6	,	,	PUNCT
ejpam-135	164	7	2	2	NUM
ejpam-135	164	8	(	(	PUNCT
ejpam-135	164	9	2009	2009	NUM
ejpam-135	164	10	)	)	PUNCT
ejpam-135	164	11	,	,	PUNCT
ejpam-135	164	12	(	(	PUNCT
ejpam-135	164	13	239	239	NUM
ejpam-135	164	14	-	-	SYM
ejpam-135	164	15	249	249	NUM
ejpam-135	164	16	)	)	PUNCT
ejpam-135	164	17	247	247	NUM
ejpam-135	164	18	next	next	ADV
ejpam-135	164	19	we	we	PRON
ejpam-135	164	20	consider	consider	VERB
ejpam-135	164	21	the	the	DET
ejpam-135	164	22	function	function	NOUN
ejpam-135	164	23	f(z	f(z	PROPN
ejpam-135	164	24	)	)	PUNCT
ejpam-135	164	25	:	:	PUNCT
ejpam-135	165	1	=	=	PUNCT
ejpam-135	165	2	z	z	SYM
ejpam-135	165	3	−	−	PROPN
ejpam-135	165	4	1−	1−	NUM
ejpam-135	165	5	γ	γ	X
ejpam-135	165	6	(	(	PUNCT
ejpam-135	165	7	(	(	PUNCT
ejpam-135	165	8	1−λ	1−λ	NUM
ejpam-135	165	9	)	)	PUNCT
ejpam-135	165	10	secη+	secη+	X
ejpam-135	165	11	(	(	PUNCT
ejpam-135	165	12	1−	1−	NUM
ejpam-135	165	13	γ)(1+λ))γ2	γ)(1+λ))γ2	PROPN
ejpam-135	165	14	z2	z2	NOUN
ejpam-135	165	15	where	where	SCONJ
ejpam-135	165	16	|η|	|η|	NOUN
ejpam-135	165	17	<	<	X
ejpam-135	165	18	π	π	PROPN
ejpam-135	165	19	2	2	NUM
ejpam-135	165	20	,	,	PUNCT
ejpam-135	165	21	0	0	NUM
ejpam-135	165	22	≤	≤	NUM
ejpam-135	165	23	γ	γ	X
ejpam-135	165	24	<	<	X
ejpam-135	165	25	1	1	NUM
ejpam-135	165	26	,	,	PUNCT
ejpam-135	165	27	0	0	NUM
ejpam-135	165	28	≤	≤	NUM
ejpam-135	165	29	λ	λ	X
ejpam-135	165	30	<	<	X
ejpam-135	165	31	1	1	NUM
ejpam-135	165	32	and	and	CCONJ
ejpam-135	165	33	γ2	γ2	NOUN
ejpam-135	165	34	is	be	AUX
ejpam-135	165	35	given	give	VERB
ejpam-135	165	36	by	by	ADP
ejpam-135	165	37	(	(	PUNCT
ejpam-135	165	38	2.5	2.5	NUM
ejpam-135	165	39	)	)	PUNCT
ejpam-135	165	40	.	.	PUNCT
ejpam-135	166	1	clearly	clearly	ADV
ejpam-135	166	2	f	f	PROPN
ejpam-135	166	3	∈	∈	PROPN
ejpam-135	166	4	rl	rl	ADP
ejpam-135	166	5	m	m	PROPN
ejpam-135	166	6	(	(	PUNCT
ejpam-135	166	7	η	η	PROPN
ejpam-135	166	8	,	,	PUNCT
ejpam-135	166	9	γ	γ	X
ejpam-135	166	10	,	,	PUNCT
ejpam-135	166	11	λ	λ	NOUN
ejpam-135	166	12	)	)	PUNCT
ejpam-135	166	13	.	.	PUNCT
ejpam-135	167	1	for	for	ADP
ejpam-135	167	2	this	this	DET
ejpam-135	167	3	function	function	NOUN
ejpam-135	167	4	(	(	PUNCT
ejpam-135	167	5	2.4)becomes	2.4)becomes	NUM
ejpam-135	167	6	(	(	PUNCT
ejpam-135	167	7	(	(	PUNCT
ejpam-135	167	8	1−λ	1−λ	NUM
ejpam-135	167	9	)	)	PUNCT
ejpam-135	167	10	secη+	secη+	X
ejpam-135	167	11	(	(	PUNCT
ejpam-135	167	12	1−	1−	NUM
ejpam-135	167	13	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	167	14	2[1−	2[1−	NOUN
ejpam-135	167	15	γ+	γ+	PUNCT
ejpam-135	167	16	(	(	PUNCT
ejpam-135	167	17	(	(	PUNCT
ejpam-135	167	18	1−λ	1−λ	NUM
ejpam-135	167	19	)	)	PUNCT
ejpam-135	167	20	secη+	secη+	X
ejpam-135	167	21	(	(	PUNCT
ejpam-135	167	22	1−	1−	NUM
ejpam-135	167	23	γ)(1+λ))γ2	γ)(1+λ))γ2	NOUN
ejpam-135	167	24	]	]	PUNCT
ejpam-135	167	25	f(z)≺	f(z)≺	ADP
ejpam-135	167	26	z	z	PROPN
ejpam-135	167	27	1−	1−	NUM
ejpam-135	167	28	z	z	NOUN
ejpam-135	167	29	.	.	PUNCT
ejpam-135	168	1	it	it	PRON
ejpam-135	168	2	is	be	AUX
ejpam-135	168	3	easily	easily	ADV
ejpam-135	168	4	verified	verify	VERB
ejpam-135	168	5	that	that	SCONJ
ejpam-135	168	6	min	min	PROPN
ejpam-135	168	7	�	�	PROPN
ejpam-135	168	8	re	re	X
ejpam-135	168	9	�	�	PROPN
ejpam-135	168	10	(	(	PUNCT
ejpam-135	168	11	(	(	PUNCT
ejpam-135	168	12	1−λ	1−λ	NUM
ejpam-135	168	13	)	)	PUNCT
ejpam-135	168	14	secη+	secη+	X
ejpam-135	168	15	(	(	PUNCT
ejpam-135	168	16	1−	1−	NUM
ejpam-135	168	17	γ)(1	γ)(1	NOUN
ejpam-135	168	18	+	+	CCONJ
ejpam-135	168	19	λ))γ2	λ))γ2	NUM
ejpam-135	168	20	2[1−	2[1−	NOUN
ejpam-135	168	21	γ+	γ+	PUNCT
ejpam-135	168	22	(	(	PUNCT
ejpam-135	168	23	(	(	PUNCT
ejpam-135	168	24	1−λ	1−λ	NUM
ejpam-135	168	25	)	)	PUNCT
ejpam-135	168	26	secη+	secη+	X
ejpam-135	168	27	(	(	PUNCT
ejpam-135	168	28	1−	1−	NUM
ejpam-135	168	29	γ)(1+λ))γ2	γ)(1+λ))γ2	X
ejpam-135	168	30	]	]	X
ejpam-135	168	31	f(z	f(z	PROPN
ejpam-135	168	32	)	)	PUNCT
ejpam-135	168	33	�	�	PROPN
ejpam-135	168	34	�	�	PROPN
ejpam-135	168	35	=	=	SYM
ejpam-135	168	36	−	−	PROPN
ejpam-135	168	37	1	1	NUM
ejpam-135	168	38	2	2	NUM
ejpam-135	168	39	,	,	PUNCT
ejpam-135	168	40	z	z	NOUN
ejpam-135	168	41	∈	∈	PROPN
ejpam-135	168	42	u	u	NOUN
ejpam-135	168	43	.	.	PUNCT
ejpam-135	169	1	this	this	PRON
ejpam-135	169	2	shows	show	VERB
ejpam-135	169	3	that	that	SCONJ
ejpam-135	169	4	the	the	DET
ejpam-135	169	5	constant	constant	ADJ
ejpam-135	169	6	(	(	PUNCT
ejpam-135	169	7	(	(	PUNCT
ejpam-135	169	8	1−λ	1−λ	NUM
ejpam-135	169	9	)	)	PUNCT
ejpam-135	169	10	secη+(1−γ)(1+λ))γ2	secη+(1−γ)(1+λ))γ2	NOUN
ejpam-135	169	11	2[1−γ+((1−λ	2[1−γ+((1−λ	NUM
ejpam-135	169	12	)	)	PUNCT
ejpam-135	169	13	secη+(1−γ)(1+λ))γ2	secη+(1−γ)(1+λ))γ2	NOUN
ejpam-135	169	14	]	]	PUNCT
ejpam-135	169	15	can	can	AUX
ejpam-135	169	16	not	not	PART
ejpam-135	169	17	be	be	AUX
ejpam-135	169	18	replaced	replace	VERB
ejpam-135	169	19	by	by	ADP
ejpam-135	169	20	any	any	DET
ejpam-135	169	21	larger	large	ADJ
ejpam-135	169	22	one	one	NOUN
ejpam-135	169	23	.	.	PUNCT
ejpam-135	170	1	by	by	ADP
ejpam-135	170	2	taking	take	VERB
ejpam-135	170	3	different	different	ADJ
ejpam-135	170	4	choices	choice	NOUN
ejpam-135	170	5	of	of	ADP
ejpam-135	170	6	l	l	NOUN
ejpam-135	170	7	,	,	PUNCT
ejpam-135	170	8	m	m	PROPN
ejpam-135	170	9	,	,	PUNCT
ejpam-135	170	10	α1,α2	α1,α2	PROPN
ejpam-135	170	11	,	,	PUNCT
ejpam-135	170	12	.	.	PUNCT
ejpam-135	170	13	.	.	PUNCT
ejpam-135	170	14	.	.	PUNCT
ejpam-135	171	1	,	,	PUNCT
ejpam-135	171	2	αl	αl	ADP
ejpam-135	171	3	,	,	PUNCT
ejpam-135	171	4	β1,β2	β1,β2	PROPN
ejpam-135	171	5	,	,	PUNCT
ejpam-135	171	6	.	.	PUNCT
ejpam-135	171	7	.	.	PUNCT
ejpam-135	171	8	.	.	PUNCT
ejpam-135	172	1	,	,	PUNCT
ejpam-135	172	2	βm	βm	VERB
ejpam-135	172	3	,	,	PUNCT
ejpam-135	172	4	λ	λ	PROPN
ejpam-135	172	5	,	,	PUNCT
ejpam-135	172	6	γ	γ	PROPN
ejpam-135	172	7	and	and	CCONJ
ejpam-135	172	8	η	η	PROPN
ejpam-135	172	9	in	in	ADP
ejpam-135	172	10	the	the	DET
ejpam-135	172	11	above	above	ADJ
ejpam-135	172	12	theorem	theorem	NOUN
ejpam-135	172	13	and	and	CCONJ
ejpam-135	172	14	in	in	ADP
ejpam-135	172	15	view	view	NOUN
ejpam-135	172	16	of	of	ADP
ejpam-135	172	17	the	the	DET
ejpam-135	172	18	examples	example	NOUN
ejpam-135	172	19	1	1	NUM
ejpam-135	172	20	to	to	PART
ejpam-135	172	21	4	4	NUM
ejpam-135	172	22	in	in	ADP
ejpam-135	172	23	section	section	NOUN
ejpam-135	172	24	1	1	NUM
ejpam-135	172	25	,	,	PUNCT
ejpam-135	172	26	we	we	PRON
ejpam-135	172	27	state	state	VERB
ejpam-135	172	28	the	the	DET
ejpam-135	172	29	following	follow	VERB
ejpam-135	172	30	corollaries	corollary	NOUN
ejpam-135	172	31	for	for	ADP
ejpam-135	172	32	the	the	DET
ejpam-135	172	33	subclasses	subclass	NOUN
ejpam-135	172	34	defined	define	VERB
ejpam-135	172	35	in	in	ADP
ejpam-135	172	36	those	those	DET
ejpam-135	172	37	examples	example	NOUN
ejpam-135	172	38	.	.	PUNCT
ejpam-135	173	1	corollary	corollary	ADJ
ejpam-135	173	2	2.5	2.5	NUM
ejpam-135	173	3	.	.	PUNCT
ejpam-135	174	1	if	if	SCONJ
ejpam-135	174	2	f	f	PROPN
ejpam-135	174	3	∈	∈	PROPN
ejpam-135	174	4	s(η	s(η	PROPN
ejpam-135	174	5	,	,	PUNCT
ejpam-135	174	6	γ	γ	X
ejpam-135	174	7	,	,	PUNCT
ejpam-135	174	8	λ	λ	PROPN
ejpam-135	174	9	)	)	PUNCT
ejpam-135	174	10	,	,	PUNCT
ejpam-135	174	11	then	then	ADV
ejpam-135	174	12	(	(	PUNCT
ejpam-135	174	13	1−λ	1−λ	NUM
ejpam-135	174	14	)	)	PUNCT
ejpam-135	174	15	secη+	secη+	X
ejpam-135	174	16	(	(	PUNCT
ejpam-135	174	17	1−	1−	NUM
ejpam-135	174	18	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	174	19	)	)	PUNCT
ejpam-135	174	20	2[1−	2[1−	NOUN
ejpam-135	174	21	γ+	γ+	PUNCT
ejpam-135	174	22	(	(	PUNCT
ejpam-135	174	23	1−λ	1−λ	NUM
ejpam-135	174	24	)	)	PUNCT
ejpam-135	174	25	secη+	secη+	X
ejpam-135	174	26	(	(	PUNCT
ejpam-135	174	27	1−	1−	NUM
ejpam-135	174	28	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	174	29	)	)	PUNCT
ejpam-135	174	30	]	]	PUNCT
ejpam-135	174	31	(	(	PUNCT
ejpam-135	174	32	f	f	PROPN
ejpam-135	174	33	∗	∗	PROPN
ejpam-135	174	34	g)(z	g)(z	NOUN
ejpam-135	174	35	)	)	PUNCT
ejpam-135	174	36	≺	≺	NOUN
ejpam-135	174	37	g(z	g(z	PROPN
ejpam-135	174	38	)	)	PUNCT
ejpam-135	174	39	(	(	PUNCT
ejpam-135	174	40	2.9	2.9	NUM
ejpam-135	174	41	)	)	PUNCT
ejpam-135	174	42	where	where	SCONJ
ejpam-135	174	43	|η|	|η|	NOUN
ejpam-135	174	44	<	<	X
ejpam-135	174	45	π	π	PROPN
ejpam-135	174	46	2	2	NUM
ejpam-135	174	47	,	,	PUNCT
ejpam-135	174	48	0≤	0≤	NUM
ejpam-135	174	49	γ	γ	X
ejpam-135	174	50	<	<	X
ejpam-135	174	51	1	1	NUM
ejpam-135	174	52	;	;	PUNCT
ejpam-135	174	53	0	0	NUM
ejpam-135	174	54	≤	≤	NUM
ejpam-135	175	1	λ	λ	X
ejpam-135	175	2	<	<	X
ejpam-135	175	3	1	1	NUM
ejpam-135	175	4	,	,	PUNCT
ejpam-135	175	5	g	g	PROPN
ejpam-135	175	6	∈	∈	PROPN
ejpam-135	175	7	c	c	X
ejpam-135	175	8	and	and	CCONJ
ejpam-135	175	9	re	re	ADJ
ejpam-135	175	10	�	�	PROPN
ejpam-135	175	11	f	f	PROPN
ejpam-135	175	12	(	(	PUNCT
ejpam-135	175	13	z	z	PROPN
ejpam-135	175	14	)	)	PUNCT
ejpam-135	175	15	>	>	X
ejpam-135	175	16	−	−	PROPN
ejpam-135	176	1	[	[	X
ejpam-135	176	2	1−	1−	NUM
ejpam-135	176	3	γ+	γ+	PUNCT
ejpam-135	176	4	(	(	PUNCT
ejpam-135	176	5	1−λ	1−λ	NUM
ejpam-135	176	6	)	)	PUNCT
ejpam-135	176	7	secη+	secη+	X
ejpam-135	176	8	(	(	PUNCT
ejpam-135	176	9	1−	1−	NUM
ejpam-135	176	10	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	176	11	)	)	PUNCT
ejpam-135	176	12	]	]	PUNCT
ejpam-135	176	13	(	(	PUNCT
ejpam-135	176	14	1−λ	1−λ	NUM
ejpam-135	176	15	)	)	PUNCT
ejpam-135	177	1	secη+	secη+	X
ejpam-135	177	2	(	(	PUNCT
ejpam-135	177	3	1−	1−	NUM
ejpam-135	177	4	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	177	5	)	)	PUNCT
ejpam-135	177	6	,	,	PUNCT
ejpam-135	177	7	z	z	PROPN
ejpam-135	177	8	∈	∈	PROPN
ejpam-135	177	9	u	u	NOUN
ejpam-135	177	10	.	.	PUNCT
ejpam-135	178	1	the	the	DET
ejpam-135	178	2	constant	constant	ADJ
ejpam-135	178	3	factor	factor	NOUN
ejpam-135	178	4	(	(	PUNCT
ejpam-135	178	5	1−λ	1−λ	NUM
ejpam-135	178	6	)	)	PUNCT
ejpam-135	178	7	secη+(1−γ)(1+λ	secη+(1−γ)(1+λ	PROPN
ejpam-135	178	8	)	)	PUNCT
ejpam-135	178	9	2[1−γ+(1−λ	2[1−γ+(1−λ	NUM
ejpam-135	178	10	)	)	PUNCT
ejpam-135	178	11	secη+(1−γ)(1+λ	secη+(1−γ)(1+λ	PROPN
ejpam-135	178	12	)	)	PUNCT
ejpam-135	178	13	]	]	PUNCT
ejpam-135	178	14	in	in	ADP
ejpam-135	178	15	(	(	PUNCT
ejpam-135	178	16	2.9	2.9	NUM
ejpam-135	178	17	)	)	PUNCT
ejpam-135	178	18	can	can	AUX
ejpam-135	178	19	not	not	PART
ejpam-135	178	20	be	be	AUX
ejpam-135	178	21	replaced	replace	VERB
ejpam-135	178	22	by	by	ADP
ejpam-135	178	23	a	a	DET
ejpam-135	178	24	larger	large	ADJ
ejpam-135	178	25	one	one	NOUN
ejpam-135	178	26	.	.	PUNCT
ejpam-135	179	1	corollary	corollary	ADJ
ejpam-135	179	2	2.6	2.6	NUM
ejpam-135	179	3	.	.	PUNCT
ejpam-135	180	1	if	if	SCONJ
ejpam-135	180	2	f	f	PROPN
ejpam-135	180	3	∈	∈	PROPN
ejpam-135	180	4	dδ(η	dδ(η	PROPN
ejpam-135	180	5	,	,	PUNCT
ejpam-135	180	6	γ	γ	X
ejpam-135	180	7	,	,	PUNCT
ejpam-135	180	8	λ	λ	PROPN
ejpam-135	180	9	)	)	PUNCT
ejpam-135	180	10	,	,	PUNCT
ejpam-135	180	11	then	then	ADV
ejpam-135	180	12	(	(	PUNCT
ejpam-135	180	13	δ+	δ+	X
ejpam-135	180	14	1)[(1−λ	1)[(1−λ	PROPN
ejpam-135	180	15	)	)	PUNCT
ejpam-135	180	16	secη+	secη+	PROPN
ejpam-135	180	17	(	(	PUNCT
ejpam-135	180	18	1−	1−	NUM
ejpam-135	180	19	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	180	20	)	)	PUNCT
ejpam-135	180	21	]	]	PUNCT
ejpam-135	181	1	2[1−	2[1−	NOUN
ejpam-135	181	2	γ+	γ+	PUNCT
ejpam-135	181	3	(	(	PUNCT
ejpam-135	181	4	δ+	δ+	X
ejpam-135	181	5	1){(1−λ	1){(1−λ	NUM
ejpam-135	181	6	)	)	PUNCT
ejpam-135	181	7	secη+	secη+	PROPN
ejpam-135	181	8	(	(	PUNCT
ejpam-135	181	9	1−	1−	NUM
ejpam-135	181	10	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	181	11	)	)	PUNCT
ejpam-135	181	12	}	}	PUNCT
ejpam-135	181	13	]	]	PUNCT
ejpam-135	181	14	(	(	PUNCT
ejpam-135	181	15	f	f	PROPN
ejpam-135	181	16	∗	∗	PROPN
ejpam-135	181	17	g)(z	g)(z	NOUN
ejpam-135	181	18	)	)	PUNCT
ejpam-135	181	19	≺	≺	NOUN
ejpam-135	181	20	g(z	g(z	PROPN
ejpam-135	181	21	)	)	PUNCT
ejpam-135	181	22	,	,	PUNCT
ejpam-135	181	23	(	(	PUNCT
ejpam-135	181	24	2.10	2.10	NUM
ejpam-135	181	25	)	)	PUNCT
ejpam-135	181	26	g.	g.	PROPN
ejpam-135	181	27	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-135	181	28	and	and	CCONJ
ejpam-135	181	29	n.	n.	PROPN
ejpam-135	181	30	magesh	magesh	PROPN
ejpam-135	181	31	/	/	SYM
ejpam-135	181	32	eur	eur	PROPN
ejpam-135	181	33	.	.	PUNCT
ejpam-135	182	1	j.	j.	PROPN
ejpam-135	182	2	pure	pure	PROPN
ejpam-135	182	3	appl	appl	PROPN
ejpam-135	182	4	.	.	PROPN
ejpam-135	182	5	math	math	PROPN
ejpam-135	182	6	,	,	PUNCT
ejpam-135	182	7	2	2	NUM
ejpam-135	182	8	(	(	PUNCT
ejpam-135	182	9	2009	2009	NUM
ejpam-135	182	10	)	)	PUNCT
ejpam-135	182	11	,	,	PUNCT
ejpam-135	182	12	(	(	PUNCT
ejpam-135	182	13	239	239	NUM
ejpam-135	182	14	-	-	SYM
ejpam-135	182	15	249	249	NUM
ejpam-135	182	16	)	)	PUNCT
ejpam-135	182	17	248	248	NUM
ejpam-135	182	18	where	where	SCONJ
ejpam-135	182	19	|η|	|η|	NOUN
ejpam-135	182	20	<	<	X
ejpam-135	182	21	π	π	PROPN
ejpam-135	182	22	2	2	NUM
ejpam-135	182	23	,	,	PUNCT
ejpam-135	182	24	0≤	0≤	NUM
ejpam-135	182	25	γ	γ	X
ejpam-135	182	26	<	<	X
ejpam-135	182	27	1	1	NUM
ejpam-135	182	28	;	;	PUNCT
ejpam-135	182	29	0	0	NUM
ejpam-135	182	30	≤	≤	NUM
ejpam-135	183	1	λ	λ	X
ejpam-135	183	2	<	<	X
ejpam-135	183	3	1	1	NUM
ejpam-135	183	4	,	,	PUNCT
ejpam-135	183	5	δ	δ	PROPN
ejpam-135	183	6	>	>	X
ejpam-135	183	7	−1	−1	NOUN
ejpam-135	183	8	,	,	PUNCT
ejpam-135	183	9	g	g	PROPN
ejpam-135	183	10	∈	∈	PROPN
ejpam-135	183	11	c	c	X
ejpam-135	183	12	and	and	CCONJ
ejpam-135	183	13	re	re	ADJ
ejpam-135	183	14	�	�	PROPN
ejpam-135	183	15	f	f	PROPN
ejpam-135	183	16	(	(	PUNCT
ejpam-135	183	17	z	z	PROPN
ejpam-135	183	18	)	)	PUNCT
ejpam-135	183	19	>	>	PUNCT
ejpam-135	183	20	−	−	PROPN
ejpam-135	184	1	[	[	X
ejpam-135	184	2	1−	1−	NUM
ejpam-135	184	3	γ+	γ+	PUNCT
ejpam-135	184	4	(	(	PUNCT
ejpam-135	184	5	δ+	δ+	X
ejpam-135	184	6	1){(1−λ	1){(1−λ	NUM
ejpam-135	184	7	)	)	PUNCT
ejpam-135	184	8	secη+	secη+	PROPN
ejpam-135	184	9	(	(	PUNCT
ejpam-135	184	10	1−	1−	NUM
ejpam-135	184	11	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	184	12	)	)	PUNCT
ejpam-135	184	13	}	}	PUNCT
ejpam-135	184	14	]	]	PUNCT
ejpam-135	184	15	(	(	PUNCT
ejpam-135	184	16	δ+	δ+	X
ejpam-135	184	17	1)[(1−λ	1)[(1−λ	PROPN
ejpam-135	184	18	)	)	PUNCT
ejpam-135	184	19	secη+	secη+	PROPN
ejpam-135	184	20	(	(	PUNCT
ejpam-135	184	21	1−	1−	NUM
ejpam-135	184	22	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	184	23	)	)	PUNCT
ejpam-135	184	24	]	]	PUNCT
ejpam-135	184	25	,	,	PUNCT
ejpam-135	184	26	z	z	PROPN
ejpam-135	184	27	∈	∈	PROPN
ejpam-135	184	28	u	u	NOUN
ejpam-135	184	29	.	.	PUNCT
ejpam-135	185	1	the	the	DET
ejpam-135	185	2	constant	constant	ADJ
ejpam-135	185	3	factor	factor	NOUN
ejpam-135	185	4	(	(	PUNCT
ejpam-135	185	5	δ+1)[(1−λ	δ+1)[(1−λ	PROPN
ejpam-135	185	6	)	)	PUNCT
ejpam-135	185	7	sec	sec	PROPN
ejpam-135	185	8	η+(1−γ)(1+λ	η+(1−γ)(1+λ	PROPN
ejpam-135	185	9	)	)	PUNCT
ejpam-135	185	10	]	]	PUNCT
ejpam-135	185	11	2[1−γ+(δ+1){(1−λ	2[1−γ+(δ+1){(1−λ	NUM
ejpam-135	185	12	)	)	PUNCT
ejpam-135	185	13	sec	sec	PROPN
ejpam-135	185	14	η+(1−γ)(1+λ	η+(1−γ)(1+λ	PROPN
ejpam-135	185	15	)	)	PUNCT
ejpam-135	185	16	}	}	PUNCT
ejpam-135	185	17	]	]	PUNCT
ejpam-135	185	18	in	in	ADP
ejpam-135	185	19	(	(	PUNCT
ejpam-135	185	20	2.10	2.10	NUM
ejpam-135	185	21	)	)	PUNCT
ejpam-135	185	22	can	can	AUX
ejpam-135	185	23	not	not	PART
ejpam-135	185	24	be	be	AUX
ejpam-135	185	25	replaced	replace	VERB
ejpam-135	185	26	by	by	ADP
ejpam-135	185	27	a	a	DET
ejpam-135	185	28	larger	large	ADJ
ejpam-135	185	29	one	one	NOUN
ejpam-135	185	30	.	.	PUNCT
ejpam-135	186	1	corollary	corollary	ADJ
ejpam-135	186	2	2.7	2.7	NUM
ejpam-135	186	3	.	.	PUNCT
ejpam-135	187	1	if	if	SCONJ
ejpam-135	187	2	f	f	PROPN
ejpam-135	187	3	∈	∈	PROPN
ejpam-135	187	4	b∗	b∗	ADJ
ejpam-135	187	5	µ	µ	X
ejpam-135	187	6	(	(	PUNCT
ejpam-135	187	7	η	η	PROPN
ejpam-135	187	8	,	,	PUNCT
ejpam-135	187	9	γ	γ	X
ejpam-135	187	10	,	,	PUNCT
ejpam-135	187	11	λ	λ	PROPN
ejpam-135	187	12	)	)	PUNCT
ejpam-135	187	13	,	,	PUNCT
ejpam-135	187	14	then	then	ADV
ejpam-135	187	15	(	(	PUNCT
ejpam-135	187	16	µ+	µ+	X
ejpam-135	187	17	1)[(1−λ	1)[(1−λ	PROPN
ejpam-135	187	18	)	)	PUNCT
ejpam-135	187	19	secη+	secη+	PROPN
ejpam-135	187	20	(	(	PUNCT
ejpam-135	187	21	1−	1−	NUM
ejpam-135	187	22	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	187	23	)	)	PUNCT
ejpam-135	187	24	]	]	PUNCT
ejpam-135	188	1	2[(µ+	2[(µ+	NOUN
ejpam-135	188	2	2)(1−	2)(1−	NUM
ejpam-135	188	3	γ	γ	X
ejpam-135	188	4	)	)	PUNCT
ejpam-135	188	5	+	+	CCONJ
ejpam-135	188	6	(	(	PUNCT
ejpam-135	188	7	µ+	µ+	X
ejpam-135	188	8	1){(1−λ	1){(1−λ	NUM
ejpam-135	188	9	)	)	PUNCT
ejpam-135	188	10	secη+	secη+	PROPN
ejpam-135	188	11	(	(	PUNCT
ejpam-135	188	12	1−	1−	NUM
ejpam-135	188	13	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	188	14	)	)	PUNCT
ejpam-135	188	15	}	}	PUNCT
ejpam-135	188	16	]	]	PUNCT
ejpam-135	189	1	(	(	PUNCT
ejpam-135	189	2	f	f	PROPN
ejpam-135	189	3	∗	∗	PROPN
ejpam-135	189	4	g)(z	g)(z	NOUN
ejpam-135	189	5	)	)	PUNCT
ejpam-135	189	6	≺	≺	NOUN
ejpam-135	189	7	g(z	g(z	PROPN
ejpam-135	189	8	)	)	PUNCT
ejpam-135	189	9	,	,	PUNCT
ejpam-135	189	10	(	(	PUNCT
ejpam-135	189	11	2.11	2.11	NUM
ejpam-135	189	12	)	)	PUNCT
ejpam-135	189	13	where	where	SCONJ
ejpam-135	189	14	|η|	|η|	NOUN
ejpam-135	189	15	<	<	X
ejpam-135	189	16	π	π	PROPN
ejpam-135	189	17	2	2	NUM
ejpam-135	189	18	,	,	PUNCT
ejpam-135	189	19	0≤	0≤	NUM
ejpam-135	189	20	γ	γ	X
ejpam-135	189	21	<	<	X
ejpam-135	189	22	1	1	NUM
ejpam-135	189	23	;	;	PUNCT
ejpam-135	189	24	0	0	NUM
ejpam-135	189	25	≤	≤	NUM
ejpam-135	190	1	λ	λ	X
ejpam-135	190	2	<	<	X
ejpam-135	190	3	1	1	NUM
ejpam-135	190	4	,	,	PUNCT
ejpam-135	190	5	µ	µ	X
ejpam-135	190	6	>	>	X
ejpam-135	190	7	−1	−1	NOUN
ejpam-135	190	8	,	,	PUNCT
ejpam-135	190	9	g	g	PROPN
ejpam-135	190	10	∈	∈	PROPN
ejpam-135	190	11	c	c	X
ejpam-135	190	12	and	and	CCONJ
ejpam-135	190	13	re	re	ADJ
ejpam-135	190	14	�	�	PROPN
ejpam-135	190	15	f	f	PROPN
ejpam-135	190	16	(	(	PUNCT
ejpam-135	190	17	z	z	PROPN
ejpam-135	190	18	)	)	PUNCT
ejpam-135	190	19	>	>	PUNCT
ejpam-135	190	20	−	−	PROPN
ejpam-135	191	1	[	[	X
ejpam-135	191	2	(	(	PUNCT
ejpam-135	191	3	µ+	µ+	X
ejpam-135	191	4	2)(1−	2)(1−	NUM
ejpam-135	191	5	γ	γ	X
ejpam-135	191	6	)	)	PUNCT
ejpam-135	191	7	+	+	CCONJ
ejpam-135	191	8	(	(	PUNCT
ejpam-135	191	9	µ+	µ+	X
ejpam-135	191	10	1){(1−λ	1){(1−λ	NUM
ejpam-135	191	11	)	)	PUNCT
ejpam-135	191	12	secη+	secη+	PROPN
ejpam-135	191	13	(	(	PUNCT
ejpam-135	191	14	1−	1−	NUM
ejpam-135	191	15	γ)(1	γ)(1	NOUN
ejpam-135	191	16	+	+	SYM
ejpam-135	191	17	λ	λ	NOUN
ejpam-135	191	18	)	)	PUNCT
ejpam-135	191	19	}	}	PUNCT
ejpam-135	191	20	]	]	PUNCT
ejpam-135	191	21	(	(	PUNCT
ejpam-135	191	22	µ+	µ+	X
ejpam-135	191	23	1)[(1−λ	1)[(1−λ	PROPN
ejpam-135	191	24	)	)	PUNCT
ejpam-135	191	25	secη+	secη+	PROPN
ejpam-135	191	26	(	(	PUNCT
ejpam-135	191	27	1−	1−	NUM
ejpam-135	191	28	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	191	29	)	)	PUNCT
ejpam-135	191	30	]	]	PUNCT
ejpam-135	191	31	,	,	PUNCT
ejpam-135	191	32	z	z	PROPN
ejpam-135	191	33	∈	∈	PROPN
ejpam-135	191	34	u	u	NOUN
ejpam-135	191	35	.	.	PUNCT
ejpam-135	192	1	the	the	DET
ejpam-135	192	2	constant	constant	ADJ
ejpam-135	192	3	factor	factor	NOUN
ejpam-135	192	4	(	(	PUNCT
ejpam-135	192	5	µ+1)[(1−λ	µ+1)[(1−λ	PROPN
ejpam-135	192	6	)	)	PUNCT
ejpam-135	192	7	secη+(1−γ)(1+λ	secη+(1−γ)(1+λ	PROPN
ejpam-135	192	8	)	)	PUNCT
ejpam-135	192	9	]	]	PUNCT
ejpam-135	193	1	2[(µ+2)(1−γ)+(µ+1){(1−λ	2[(µ+2)(1−γ)+(µ+1){(1−λ	X
ejpam-135	193	2	)	)	PUNCT
ejpam-135	193	3	sec	sec	PROPN
ejpam-135	193	4	η+(1−γ)(1+λ	η+(1−γ)(1+λ	PROPN
ejpam-135	193	5	)	)	PUNCT
ejpam-135	193	6	}	}	PUNCT
ejpam-135	193	7	]	]	PUNCT
ejpam-135	193	8	in	in	ADP
ejpam-135	193	9	(	(	PUNCT
ejpam-135	193	10	2.11	2.11	NUM
ejpam-135	193	11	)	)	PUNCT
ejpam-135	193	12	can	can	AUX
ejpam-135	193	13	not	not	PART
ejpam-135	193	14	be	be	AUX
ejpam-135	193	15	replaced	replace	VERB
ejpam-135	193	16	by	by	ADP
ejpam-135	193	17	a	a	DET
ejpam-135	193	18	larger	large	ADJ
ejpam-135	193	19	one	one	NOUN
ejpam-135	193	20	.	.	PUNCT
ejpam-135	194	1	corollary	corollary	ADJ
ejpam-135	194	2	2.8	2.8	NUM
ejpam-135	194	3	.	.	PUNCT
ejpam-135	195	1	if	if	SCONJ
ejpam-135	195	2	f	f	PROPN
ejpam-135	195	3	∈	∈	PROPN
ejpam-135	195	4	l∗a	l∗a	PROPN
ejpam-135	195	5	c	c	X
ejpam-135	195	6	(	(	PUNCT
ejpam-135	195	7	η	η	PROPN
ejpam-135	195	8	,	,	PUNCT
ejpam-135	195	9	γ	γ	X
ejpam-135	195	10	,	,	PUNCT
ejpam-135	195	11	λ	λ	PROPN
ejpam-135	195	12	)	)	PUNCT
ejpam-135	195	13	,	,	PUNCT
ejpam-135	195	14	then	then	ADV
ejpam-135	195	15	a[(1−λ	a[(1−λ	NOUN
ejpam-135	195	16	)	)	PUNCT
ejpam-135	195	17	secη+	secη+	PROPN
ejpam-135	195	18	(	(	PUNCT
ejpam-135	195	19	1−	1−	NUM
ejpam-135	195	20	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	195	21	)	)	PUNCT
ejpam-135	195	22	]	]	PUNCT
ejpam-135	195	23	2[c(1−	2[c(1−	NUM
ejpam-135	195	24	γ	γ	X
ejpam-135	195	25	)	)	PUNCT
ejpam-135	195	26	+	+	NUM
ejpam-135	195	27	a{(1−λ	a{(1−λ	PROPN
ejpam-135	195	28	)	)	PUNCT
ejpam-135	195	29	secη+	secη+	PROPN
ejpam-135	195	30	(	(	PUNCT
ejpam-135	195	31	1−	1−	NUM
ejpam-135	195	32	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	195	33	)	)	PUNCT
ejpam-135	195	34	}	}	PUNCT
ejpam-135	195	35	]	]	PUNCT
ejpam-135	196	1	(	(	PUNCT
ejpam-135	196	2	f	f	PROPN
ejpam-135	196	3	∗	∗	PROPN
ejpam-135	196	4	g)(z	g)(z	NOUN
ejpam-135	196	5	)	)	PUNCT
ejpam-135	196	6	≺	≺	NOUN
ejpam-135	196	7	g(z	g(z	PROPN
ejpam-135	196	8	)	)	PUNCT
ejpam-135	196	9	,	,	PUNCT
ejpam-135	196	10	(	(	PUNCT
ejpam-135	196	11	2.12	2.12	NUM
ejpam-135	196	12	)	)	PUNCT
ejpam-135	196	13	where	where	SCONJ
ejpam-135	196	14	|η|	|η|	NOUN
ejpam-135	196	15	<	<	X
ejpam-135	196	16	π	π	PROPN
ejpam-135	196	17	2	2	NUM
ejpam-135	196	18	,	,	PUNCT
ejpam-135	196	19	0≤	0≤	NUM
ejpam-135	196	20	γ	γ	X
ejpam-135	196	21	<	<	X
ejpam-135	196	22	1	1	NUM
ejpam-135	196	23	;	;	PUNCT
ejpam-135	196	24	0	0	NUM
ejpam-135	196	25	≤	≤	NUM
ejpam-135	197	1	λ	λ	X
ejpam-135	197	2	<	<	X
ejpam-135	197	3	1	1	NUM
ejpam-135	197	4	,	,	PUNCT
ejpam-135	197	5	a	a	DET
ejpam-135	197	6	>	>	X
ejpam-135	197	7	0	0	NUM
ejpam-135	197	8	,	,	PUNCT
ejpam-135	197	9	c	c	NOUN
ejpam-135	197	10	>	>	X
ejpam-135	197	11	0	0	PROPN
ejpam-135	197	12	,	,	PUNCT
ejpam-135	197	13	g	g	PROPN
ejpam-135	197	14	∈	∈	PROPN
ejpam-135	197	15	c	c	PROPN
ejpam-135	197	16	and	and	CCONJ
ejpam-135	197	17	re	re	NOUN
ejpam-135	197	18	{	{	PUNCT
ejpam-135	197	19	f	f	PROPN
ejpam-135	197	20	(	(	PUNCT
ejpam-135	197	21	z	z	NOUN
ejpam-135	197	22	)	)	PUNCT
ejpam-135	197	23	}	}	PUNCT
ejpam-135	197	24	>	>	X
ejpam-135	197	25	−	−	PUNCT
ejpam-135	198	1	[	[	X
ejpam-135	198	2	c(1−	c(1−	X
ejpam-135	198	3	γ	γ	X
ejpam-135	198	4	)	)	PUNCT
ejpam-135	198	5	+	+	NUM
ejpam-135	198	6	a{(1−λ	a{(1−λ	PROPN
ejpam-135	198	7	)	)	PUNCT
ejpam-135	198	8	secη+	secη+	PROPN
ejpam-135	198	9	(	(	PUNCT
ejpam-135	198	10	1−	1−	NUM
ejpam-135	198	11	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	198	12	)	)	PUNCT
ejpam-135	198	13	}	}	PUNCT
ejpam-135	198	14	]	]	PUNCT
ejpam-135	198	15	a[(1−λ	a[(1−λ	NOUN
ejpam-135	198	16	)	)	PUNCT
ejpam-135	198	17	secη+	secη+	PROPN
ejpam-135	198	18	(	(	PUNCT
ejpam-135	198	19	1−	1−	NUM
ejpam-135	198	20	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	198	21	)	)	PUNCT
ejpam-135	198	22	]	]	PUNCT
ejpam-135	198	23	,	,	PUNCT
ejpam-135	198	24	z	z	PROPN
ejpam-135	198	25	∈	∈	PROPN
ejpam-135	198	26	u	u	NOUN
ejpam-135	198	27	.	.	PUNCT
ejpam-135	199	1	the	the	DET
ejpam-135	199	2	constant	constant	ADJ
ejpam-135	199	3	factor	factor	NOUN
ejpam-135	199	4	2[c(1−	2[c(1−	NUM
ejpam-135	199	5	γ	γ	NOUN
ejpam-135	199	6	)	)	PUNCT
ejpam-135	199	7	+	+	NUM
ejpam-135	199	8	a{(1−λ	a{(1−λ	PROPN
ejpam-135	199	9	)	)	PUNCT
ejpam-135	199	10	secη+	secη+	PROPN
ejpam-135	199	11	(	(	PUNCT
ejpam-135	199	12	1−	1−	NUM
ejpam-135	199	13	γ)(1+λ	γ)(1+λ	NUM
ejpam-135	199	14	)	)	PUNCT
ejpam-135	199	15	}	}	PUNCT
ejpam-135	199	16	]	]	PUNCT
ejpam-135	199	17	in	in	ADP
ejpam-135	199	18	(	(	PUNCT
ejpam-135	199	19	2.12	2.12	NUM
ejpam-135	199	20	)	)	PUNCT
ejpam-135	199	21	can	can	AUX
ejpam-135	199	22	not	not	PART
ejpam-135	199	23	be	be	AUX
ejpam-135	199	24	replaced	replace	VERB
ejpam-135	199	25	by	by	ADP
ejpam-135	199	26	a	a	DET
ejpam-135	199	27	larger	large	ADJ
ejpam-135	199	28	one	one	NUM
ejpam-135	199	29	.	.	PUNCT
ejpam-135	200	1	remark	remark	PROPN
ejpam-135	200	2	2.2	2.2	NUM
ejpam-135	200	3	.	.	PUNCT
ejpam-135	201	1	we	we	PRON
ejpam-135	201	2	observe	observe	VERB
ejpam-135	201	3	that	that	DET
ejpam-135	201	4	corollary	corollary	ADJ
ejpam-135	201	5	2.5	2.5	NUM
ejpam-135	201	6	,	,	PUNCT
ejpam-135	201	7	yields	yield	VERB
ejpam-135	201	8	the	the	DET
ejpam-135	201	9	results	result	NOUN
ejpam-135	201	10	obtained	obtain	VERB
ejpam-135	201	11	by	by	ADP
ejpam-135	201	12	singh	singh	PROPN
ejpam-135	202	1	[	[	X
ejpam-135	202	2	9	9	NUM
ejpam-135	202	3	]	]	PUNCT
ejpam-135	202	4	for	for	ADP
ejpam-135	202	5	the	the	DET
ejpam-135	202	6	special	special	ADJ
ejpam-135	202	7	values	value	NOUN
ejpam-135	202	8	of	of	ADP
ejpam-135	202	9	λ	λ	PROPN
ejpam-135	202	10	,	,	PUNCT
ejpam-135	202	11	γ	γ	PROPN
ejpam-135	202	12	and	and	CCONJ
ejpam-135	202	13	η	η	PROPN
ejpam-135	202	14	.	.	PROPN
ejpam-135	202	15	references	reference	NOUN
ejpam-135	202	16	249	249	NUM
ejpam-135	202	17	acknowledgements	acknowledgement	NOUN
ejpam-135	202	18	the	the	DET
ejpam-135	202	19	authors	author	NOUN
ejpam-135	202	20	would	would	AUX
ejpam-135	202	21	like	like	VERB
ejpam-135	202	22	to	to	PART
ejpam-135	202	23	thank	thank	VERB
ejpam-135	202	24	the	the	DET
ejpam-135	202	25	referee	referee	NOUN
ejpam-135	202	26	for	for	ADP
ejpam-135	202	27	his	his	PRON
ejpam-135	202	28	valuable	valuable	ADJ
ejpam-135	202	29	comments	comment	NOUN
ejpam-135	202	30	and	and	CCONJ
ejpam-135	202	31	suggestions	suggestion	NOUN
ejpam-135	202	32	.	.	PUNCT
ejpam-135	203	1	references	reference	NOUN
ejpam-135	203	2	[	[	X
ejpam-135	203	3	1	1	X
ejpam-135	203	4	]	]	PUNCT
ejpam-135	203	5	s.	s.	PROPN
ejpam-135	203	6	d.	d.	PROPN
ejpam-135	203	7	bernardi	bernardi	PROPN
ejpam-135	203	8	,	,	PUNCT
ejpam-135	203	9	convex	convex	NOUN
ejpam-135	203	10	and	and	CCONJ
ejpam-135	203	11	starlike	starlike	NOUN
ejpam-135	203	12	univalent	univalent	ADJ
ejpam-135	203	13	functions	function	NOUN
ejpam-135	203	14	,	,	PUNCT
ejpam-135	203	15	trans	trans	PROPN
ejpam-135	203	16	.	.	PROPN
ejpam-135	204	1	amer	amer	PROPN
ejpam-135	204	2	.	.	PUNCT
ejpam-135	204	3	math	math	PROPN
ejpam-135	204	4	.	.	PUNCT
ejpam-135	205	1	soc	soc	PROPN
ejpam-135	205	2	.	.	PROPN
ejpam-135	205	3	,	,	PUNCT
ejpam-135	205	4	135	135	NUM
ejpam-135	205	5	,	,	PUNCT
ejpam-135	205	6	429–446	429–446	NUM
ejpam-135	205	7	(	(	PUNCT
ejpam-135	205	8	1969	1969	NUM
ejpam-135	205	9	)	)	PUNCT
ejpam-135	205	10	.	.	PUNCT
ejpam-135	206	1	[	[	X
ejpam-135	206	2	2	2	NUM
ejpam-135	206	3	]	]	X
ejpam-135	206	4	b.	b.	PROPN
ejpam-135	206	5	c.	c.	PROPN
ejpam-135	206	6	carlson	carlson	PROPN
ejpam-135	206	7	and	and	CCONJ
ejpam-135	206	8	s.	s.	PROPN
ejpam-135	206	9	b.	b.	PROPN
ejpam-135	206	10	shaffer	shaffer	PROPN
ejpam-135	206	11	,	,	PUNCT
ejpam-135	206	12	starlike	starlike	NOUN
ejpam-135	206	13	and	and	CCONJ
ejpam-135	206	14	prestarlike	prestarlike	ADJ
ejpam-135	206	15	hypergeometric	hypergeometric	ADJ
ejpam-135	206	16	functions	function	NOUN
ejpam-135	206	17	,	,	PUNCT
ejpam-135	206	18	siam	siam	PROPN
ejpam-135	206	19	j.	j.	PROPN
ejpam-135	206	20	math	math	PROPN
ejpam-135	206	21	.	.	PUNCT
ejpam-135	207	1	anal	anal	PROPN
ejpam-135	207	2	.	.	PROPN
ejpam-135	207	3	,	,	PUNCT
ejpam-135	207	4	15	15	NUM
ejpam-135	207	5	,	,	PUNCT
ejpam-135	207	6	737–745	737–745	NUM
ejpam-135	207	7	(	(	PUNCT
ejpam-135	207	8	2002	2002	NUM
ejpam-135	207	9	)	)	PUNCT
ejpam-135	207	10	.	.	PUNCT
ejpam-135	208	1	[	[	X
ejpam-135	208	2	3	3	X
ejpam-135	208	3	]	]	X
ejpam-135	208	4	j.	j.	PROPN
ejpam-135	208	5	dziok	dziok	PROPN
ejpam-135	208	6	and	and	CCONJ
ejpam-135	208	7	h.	h.	PROPN
ejpam-135	208	8	m.	m.	PROPN
ejpam-135	208	9	srivastava	srivastava	PROPN
ejpam-135	208	10	,	,	PUNCT
ejpam-135	208	11	certain	certain	ADJ
ejpam-135	208	12	subclasses	subclass	NOUN
ejpam-135	208	13	of	of	ADP
ejpam-135	208	14	analytic	analytic	ADJ
ejpam-135	208	15	functions	function	NOUN
ejpam-135	208	16	associated	associate	VERB
ejpam-135	208	17	with	with	ADP
ejpam-135	208	18	the	the	DET
ejpam-135	208	19	generalized	generalize	VERB
ejpam-135	208	20	hypergeometric	hypergeometric	ADJ
ejpam-135	208	21	function	function	NOUN
ejpam-135	208	22	,	,	PUNCT
ejpam-135	208	23	intergral	intergral	ADJ
ejpam-135	208	24	transform	transform	VERB
ejpam-135	208	25	spec	spec	NOUN
ejpam-135	208	26	.	.	PUNCT
ejpam-135	209	1	funct	funct	PROPN
ejpam-135	209	2	.	.	PUNCT
ejpam-135	210	1	,	,	PUNCT
ejpam-135	210	2	14	14	NUM
ejpam-135	210	3	,	,	PUNCT
ejpam-135	210	4	7–18	7–18	NUM
ejpam-135	210	5	(	(	PUNCT
ejpam-135	210	6	2003	2003	NUM
ejpam-135	210	7	)	)	PUNCT
ejpam-135	210	8	.	.	PUNCT
ejpam-135	211	1	[	[	X
ejpam-135	211	2	4	4	X
ejpam-135	211	3	]	]	PUNCT
ejpam-135	211	4	r.	r.	PROPN
ejpam-135	211	5	j.	j.	PROPN
ejpam-135	211	6	libera	libera	PROPN
ejpam-135	211	7	,	,	PUNCT
ejpam-135	211	8	some	some	DET
ejpam-135	211	9	classes	class	NOUN
ejpam-135	211	10	of	of	ADP
ejpam-135	211	11	regular	regular	ADJ
ejpam-135	211	12	univalent	univalent	ADJ
ejpam-135	211	13	functions	function	NOUN
ejpam-135	211	14	,	,	PUNCT
ejpam-135	211	15	proc	proc	NOUN
ejpam-135	211	16	.	.	PUNCT
ejpam-135	212	1	amer	amer	PROPN
ejpam-135	212	2	.	.	PUNCT
ejpam-135	212	3	math	math	PROPN
ejpam-135	212	4	.	.	PUNCT
ejpam-135	213	1	soc	soc	PROPN
ejpam-135	213	2	.	.	PUNCT
ejpam-135	213	3	,	,	PUNCT
ejpam-135	213	4	16	16	NUM
ejpam-135	213	5	,	,	PUNCT
ejpam-135	213	6	755	755	NUM
ejpam-135	213	7	–	–	PUNCT
ejpam-135	213	8	758	758	NUM
ejpam-135	213	9	(	(	PUNCT
ejpam-135	213	10	1965	1965	NUM
ejpam-135	213	11	)	)	PUNCT
ejpam-135	213	12	.	.	PUNCT
ejpam-135	214	1	[	[	X
ejpam-135	214	2	5	5	X
ejpam-135	214	3	]	]	PUNCT
ejpam-135	214	4	r.	r.	PROPN
ejpam-135	214	5	j.	j.	PROPN
ejpam-135	214	6	libera	libera	PROPN
ejpam-135	214	7	,	,	PUNCT
ejpam-135	214	8	univalent	univalent	ADJ
ejpam-135	214	9	α−spiral	α−spiral	ADJ
ejpam-135	214	10	functions	function	NOUN
ejpam-135	214	11	,	,	PUNCT
ejpam-135	214	12	canad	canad	PROPN
ejpam-135	214	13	.	.	PUNCT
ejpam-135	215	1	j.	j.	PROPN
ejpam-135	215	2	math	math	PROPN
ejpam-135	215	3	.	.	PROPN
ejpam-135	215	4	,	,	PUNCT
ejpam-135	215	5	19	19	NUM
ejpam-135	215	6	,	,	PUNCT
ejpam-135	215	7	449–456	449–456	NUM
ejpam-135	215	8	(	(	PUNCT
ejpam-135	215	9	1967	1967	NUM
ejpam-135	215	10	)	)	PUNCT
ejpam-135	215	11	.	.	PUNCT
ejpam-135	216	1	[	[	X
ejpam-135	216	2	6	6	NUM
ejpam-135	216	3	]	]	PUNCT
ejpam-135	216	4	a.	a.	PROPN
ejpam-135	216	5	e.	e.	PROPN
ejpam-135	216	6	livingston	livingston	PROPN
ejpam-135	216	7	,	,	PUNCT
ejpam-135	216	8	on	on	ADP
ejpam-135	216	9	the	the	DET
ejpam-135	216	10	radius	radius	NOUN
ejpam-135	216	11	of	of	ADP
ejpam-135	216	12	univalence	univalence	NOUN
ejpam-135	216	13	of	of	ADP
ejpam-135	216	14	certain	certain	ADJ
ejpam-135	216	15	analytic	analytic	ADJ
ejpam-135	216	16	functions	function	NOUN
ejpam-135	216	17	,	,	PUNCT
ejpam-135	216	18	proc	proc	NOUN
ejpam-135	216	19	.	.	PUNCT
ejpam-135	217	1	amer	amer	PROPN
ejpam-135	217	2	.	.	PUNCT
ejpam-135	217	3	math	math	PROPN
ejpam-135	217	4	.	.	PUNCT
ejpam-135	218	1	soc	soc	PROPN
ejpam-135	218	2	.	.	PUNCT
ejpam-135	218	3	,	,	PUNCT
ejpam-135	218	4	17	17	NUM
ejpam-135	218	5	,	,	PUNCT
ejpam-135	218	6	352–357	352–357	NUM
ejpam-135	218	7	(	(	PUNCT
ejpam-135	218	8	1966	1966	NUM
ejpam-135	218	9	)	)	PUNCT
ejpam-135	218	10	.	.	PUNCT
ejpam-135	219	1	[	[	X
ejpam-135	219	2	7	7	NUM
ejpam-135	219	3	]	]	SYM
ejpam-135	219	4	st	st	PROPN
ejpam-135	219	5	.	.	PROPN
ejpam-135	219	6	ruscheweyh	ruscheweyh	PROPN
ejpam-135	219	7	,	,	PUNCT
ejpam-135	219	8	new	new	ADJ
ejpam-135	219	9	criteria	criterion	NOUN
ejpam-135	219	10	for	for	ADP
ejpam-135	219	11	univalent	univalent	ADJ
ejpam-135	219	12	functions	function	NOUN
ejpam-135	219	13	,	,	PUNCT
ejpam-135	219	14	proc	proc	NOUN
ejpam-135	219	15	.	.	PUNCT
ejpam-135	220	1	amer	amer	PROPN
ejpam-135	220	2	.	.	PUNCT
ejpam-135	220	3	math	math	PROPN
ejpam-135	220	4	.	.	PUNCT
ejpam-135	221	1	soc	soc	PROPN
ejpam-135	221	2	.	.	PUNCT
ejpam-135	221	3	,	,	PUNCT
ejpam-135	221	4	49	49	NUM
ejpam-135	221	5	,	,	PUNCT
ejpam-135	221	6	109	109	NUM
ejpam-135	221	7	–	–	PUNCT
ejpam-135	221	8	115	115	NUM
ejpam-135	221	9	(	(	PUNCT
ejpam-135	221	10	1975	1975	NUM
ejpam-135	221	11	)	)	PUNCT
ejpam-135	221	12	.	.	PUNCT
ejpam-135	222	1	[	[	X
ejpam-135	222	2	8	8	X
ejpam-135	222	3	]	]	X
ejpam-135	222	4	h.	h.	PROPN
ejpam-135	222	5	silverman	silverman	PROPN
ejpam-135	222	6	,	,	PUNCT
ejpam-135	222	7	sufficient	sufficient	ADJ
ejpam-135	222	8	conditions	condition	NOUN
ejpam-135	222	9	for	for	ADP
ejpam-135	222	10	spiral	spiral	ADJ
ejpam-135	222	11	-	-	PUNCT
ejpam-135	222	12	likeness	likeness	NOUN
ejpam-135	222	13	,	,	PUNCT
ejpam-135	222	14	inter	inter	PROPN
ejpam-135	222	15	.	.	PUNCT
ejpam-135	223	1	j.	j.	PROPN
ejpam-135	223	2	math	math	PROPN
ejpam-135	223	3	.	.	PUNCT
ejpam-135	224	1	sci	sci	PROPN
ejpam-135	224	2	.	.	PROPN
ejpam-135	225	1	,	,	PUNCT
ejpam-135	225	2	12	12	NUM
ejpam-135	225	3	,	,	PUNCT
ejpam-135	225	4	4	4	NUM
ejpam-135	225	5	:	:	SYM
ejpam-135	225	6	641	641	NUM
ejpam-135	225	7	–	–	PUNCT
ejpam-135	225	8	644	644	NUM
ejpam-135	225	9	(	(	PUNCT
ejpam-135	225	10	1989	1989	NUM
ejpam-135	225	11	)	)	PUNCT
ejpam-135	225	12	.	.	PUNCT
ejpam-135	226	1	[	[	X
ejpam-135	226	2	9	9	NUM
ejpam-135	226	3	]	]	PUNCT
ejpam-135	226	4	s.	s.	PROPN
ejpam-135	226	5	singh	singh	PROPN
ejpam-135	226	6	,	,	PUNCT
ejpam-135	226	7	a	a	DET
ejpam-135	226	8	subordination	subordination	NOUN
ejpam-135	226	9	theorem	theorem	VERB
ejpam-135	226	10	for	for	ADP
ejpam-135	226	11	spirallike	spirallike	ADJ
ejpam-135	226	12	functions	function	NOUN
ejpam-135	226	13	,	,	PUNCT
ejpam-135	226	14	internat	internat	PROPN
ejpam-135	226	15	.	.	PUNCT
ejpam-135	227	1	j.	j.	PROPN
ejpam-135	227	2	math	math	PROPN
ejpam-135	227	3	.	.	PUNCT
ejpam-135	228	1	and	and	CCONJ
ejpam-135	228	2	math	math	NOUN
ejpam-135	228	3	.	.	PUNCT
ejpam-135	229	1	sci	sci	PROPN
ejpam-135	229	2	.	.	PROPN
ejpam-135	229	3	,	,	PUNCT
ejpam-135	229	4	24	24	NUM
ejpam-135	229	5	,	,	PUNCT
ejpam-135	229	6	7	7	NUM
ejpam-135	229	7	:	:	PUNCT
ejpam-135	229	8	433–435	433–435	NUM
ejpam-135	229	9	(	(	PUNCT
ejpam-135	229	10	2000	2000	NUM
ejpam-135	229	11	)	)	PUNCT
ejpam-135	229	12	.	.	PUNCT
ejpam-135	230	1	[	[	X
ejpam-135	230	2	10	10	NUM
ejpam-135	230	3	]	]	PUNCT
ejpam-135	230	4	l.	l.	PROPN
ejpam-135	230	5	spacek	spacek	PROPN
ejpam-135	230	6	,	,	PUNCT
ejpam-135	230	7	contribution	contribution	NOUN
ejpam-135	230	8	à	à	PROPN
ejpam-135	230	9	la	la	PROPN
ejpam-135	230	10	theorie	theorie	PROPN
ejpam-135	230	11	des	des	PROPN
ejpam-135	230	12	fonctions	fonctions	PROPN
ejpam-135	230	13	univalents	univalents	PROPN
ejpam-135	230	14	,	,	PUNCT
ejpam-135	230	15	cas	cas	PROPN
ejpam-135	230	16	.	.	PROPN
ejpam-135	230	17	mat	mat	PROPN
ejpam-135	230	18	.	.	PUNCT
ejpam-135	230	19	fys	fys	PROPN
ejpam-135	230	20	.	.	PROPN
ejpam-135	230	21	,	,	PUNCT
ejpam-135	230	22	62	62	NUM
ejpam-135	230	23	,	,	PUNCT
ejpam-135	230	24	2	2	NUM
ejpam-135	230	25	:	:	SYM
ejpam-135	230	26	12	12	NUM
ejpam-135	230	27	–	–	PUNCT
ejpam-135	230	28	19	19	NUM
ejpam-135	230	29	(	(	PUNCT
ejpam-135	230	30	1932	1932	NUM
ejpam-135	230	31	)	)	PUNCT
ejpam-135	230	32	.	.	PUNCT
ejpam-135	231	1	[	[	X
ejpam-135	231	2	11	11	NUM
ejpam-135	231	3	]	]	X
ejpam-135	231	4	h.	h.	PROPN
ejpam-135	231	5	m.	m.	PROPN
ejpam-135	231	6	srivastava	srivastava	PROPN
ejpam-135	231	7	and	and	CCONJ
ejpam-135	231	8	s.	s.	PROPN
ejpam-135	231	9	owa	owa	PROPN
ejpam-135	231	10	,	,	PUNCT
ejpam-135	231	11	some	some	DET
ejpam-135	231	12	characterization	characterization	NOUN
ejpam-135	231	13	and	and	CCONJ
ejpam-135	231	14	distortion	distortion	NOUN
ejpam-135	231	15	theorems	theorem	NOUN
ejpam-135	231	16	involving	involve	VERB
ejpam-135	231	17	fractional	fractional	ADJ
ejpam-135	231	18	calculus	calculus	NOUN
ejpam-135	231	19	,	,	PUNCT
ejpam-135	231	20	generalized	generalized	ADJ
ejpam-135	231	21	hypergeometric	hypergeometric	ADJ
ejpam-135	231	22	functions	function	NOUN
ejpam-135	231	23	,	,	PUNCT
ejpam-135	231	24	hadamard	hadamard	ADJ
ejpam-135	231	25	products	product	NOUN
ejpam-135	231	26	,	,	PUNCT
ejpam-135	231	27	linear	linear	PROPN
ejpam-135	231	28	operators	operator	NOUN
ejpam-135	231	29	and	and	CCONJ
ejpam-135	231	30	certain	certain	ADJ
ejpam-135	231	31	subclasses	subclass	NOUN
ejpam-135	231	32	of	of	ADP
ejpam-135	231	33	analytic	analytic	ADJ
ejpam-135	231	34	functions	function	NOUN
ejpam-135	231	35	,	,	PUNCT
ejpam-135	231	36	nagoya	nagoya	PROPN
ejpam-135	231	37	math	math	PROPN
ejpam-135	231	38	.	.	PUNCT
ejpam-135	232	1	j.	j.	PROPN
ejpam-135	232	2	,	,	PUNCT
ejpam-135	232	3	106	106	NUM
ejpam-135	232	4	,	,	PUNCT
ejpam-135	232	5	1–28	1–28	PROPN
ejpam-135	232	6	(	(	PUNCT
ejpam-135	232	7	1987	1987	NUM
ejpam-135	232	8	)	)	PUNCT
ejpam-135	232	9	.	.	PUNCT
ejpam-135	233	1	[	[	X
ejpam-135	233	2	12	12	NUM
ejpam-135	233	3	]	]	PUNCT
ejpam-135	233	4	h.	h.	PROPN
ejpam-135	233	5	s.	s.	PROPN
ejpam-135	233	6	wilf	wilf	PROPN
ejpam-135	233	7	,	,	PUNCT
ejpam-135	233	8	subordinating	subordinating	NOUN
ejpam-135	233	9	factor	factor	NOUN
ejpam-135	233	10	sequence	sequence	NOUN
ejpam-135	233	11	for	for	ADP
ejpam-135	233	12	convex	convex	NOUN
ejpam-135	233	13	maps	map	NOUN
ejpam-135	233	14	of	of	ADP
ejpam-135	233	15	the	the	DET
ejpam-135	233	16	unit	unit	NOUN
ejpam-135	233	17	circle	circle	NOUN
ejpam-135	233	18	,	,	PUNCT
ejpam-135	233	19	proc	proc	PROPN
ejpam-135	233	20	.	.	PUNCT
ejpam-135	234	1	amer	amer	PROPN
ejpam-135	234	2	.	.	PUNCT
ejpam-135	234	3	math	math	PROPN
ejpam-135	234	4	.	.	PUNCT
ejpam-135	235	1	soc	soc	PROPN
ejpam-135	235	2	.	.	PUNCT
ejpam-135	235	3	,	,	PUNCT
ejpam-135	235	4	12	12	NUM
ejpam-135	235	5	,	,	PUNCT
ejpam-135	235	6	689–693	689–693	NUM
ejpam-135	235	7	(	(	PUNCT
ejpam-135	235	8	1961	1961	NUM
ejpam-135	235	9	)	)	PUNCT
ejpam-135	235	10	.	.	PUNCT