id	sid	tid	token	lemma	pos
ejpam-744	1	1	7_744_darus.dvi	7_744_darus.dvi	NUM
ejpam-744	1	2	european	european	ADJ
ejpam-744	1	3	journal	journal	NOUN
ejpam-744	1	4	of	of	ADP
ejpam-744	1	5	pure	pure	ADJ
ejpam-744	1	6	and	and	CCONJ
ejpam-744	1	7	applied	apply	VERB
ejpam-744	1	8	mathematics	mathematic	NOUN
ejpam-744	1	9	vol	vol	NOUN
ejpam-744	1	10	.	.	PROPN
ejpam-744	2	1	4	4	NUM
ejpam-744	2	2	,	,	PUNCT
ejpam-744	2	3	no	no	INTJ
ejpam-744	2	4	.	.	NOUN
ejpam-744	2	5	1	1	NUM
ejpam-744	2	6	,	,	PUNCT
ejpam-744	2	7	2011	2011	NUM
ejpam-744	2	8	,	,	PUNCT
ejpam-744	2	9	59	59	NUM
ejpam-744	2	10	-	-	SYM
ejpam-744	2	11	66	66	NUM
ejpam-744	2	12	issn	issn	PROPN
ejpam-744	2	13	1307	1307	NUM
ejpam-744	2	14	-	-	SYM
ejpam-744	2	15	5543	5543	NUM
ejpam-744	2	16	–	–	PUNCT
ejpam-744	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-744	2	18	on	on	ADP
ejpam-744	2	19	new	new	ADJ
ejpam-744	2	20	subclasses	subclass	NOUN
ejpam-744	2	21	of	of	ADP
ejpam-744	2	22	analytic	analytic	ADJ
ejpam-744	2	23	functions	function	NOUN
ejpam-744	2	24	involving	involve	VERB
ejpam-744	2	25	generalized	generalized	ADJ
ejpam-744	2	26	differential	differential	NOUN
ejpam-744	2	27	and	and	CCONJ
ejpam-744	2	28	integral	integral	ADJ
ejpam-744	2	29	operators	operator	NOUN
ejpam-744	2	30	maslina	maslina	PROPN
ejpam-744	2	31	darus,∗	darus,∗	PROPN
ejpam-744	2	32	,	,	PUNCT
ejpam-744	2	33	rabha	rabha	ADJ
ejpam-744	2	34	w.	w.	PROPN
ejpam-744	2	35	ibrahim	ibrahim	PROPN
ejpam-744	2	36	school	school	PROPN
ejpam-744	2	37	of	of	ADP
ejpam-744	2	38	mathematical	mathematical	ADJ
ejpam-744	2	39	sciences	science	NOUN
ejpam-744	2	40	,	,	PUNCT
ejpam-744	2	41	faculty	faculty	NOUN
ejpam-744	2	42	of	of	ADP
ejpam-744	2	43	science	science	NOUN
ejpam-744	2	44	and	and	CCONJ
ejpam-744	2	45	technology	technology	NOUN
ejpam-744	2	46	,	,	PUNCT
ejpam-744	2	47	universiti	universiti	PROPN
ejpam-744	2	48	kebangsaan	kebangsaan	PROPN
ejpam-744	2	49	malaysia	malaysia	PROPN
ejpam-744	2	50	,	,	PUNCT
ejpam-744	2	51	bangi	bangi	VERB
ejpam-744	2	52	43600	43600	NUM
ejpam-744	2	53	,	,	PUNCT
ejpam-744	2	54	selangor	selangor	PROPN
ejpam-744	2	55	darul	darul	PROPN
ejpam-744	2	56	ehsan	ehsan	PROPN
ejpam-744	2	57	,	,	PUNCT
ejpam-744	2	58	malaysia	malaysia	PROPN
ejpam-744	2	59	abstract	abstract	NOUN
ejpam-744	2	60	.	.	PUNCT
ejpam-744	3	1	we	we	PRON
ejpam-744	3	2	define	define	VERB
ejpam-744	3	3	a	a	DET
ejpam-744	3	4	generalized	generalized	ADJ
ejpam-744	3	5	differential	differential	NOUN
ejpam-744	3	6	and	and	CCONJ
ejpam-744	3	7	integral	integral	ADJ
ejpam-744	3	8	operators	operator	NOUN
ejpam-744	3	9	on	on	ADP
ejpam-744	3	10	the	the	DET
ejpam-744	3	11	class	class	NOUN
ejpam-744	3	12	a	a	PRON
ejpam-744	3	13	of	of	ADP
ejpam-744	3	14	analytic	analytic	ADJ
ejpam-744	3	15	functions	function	NOUN
ejpam-744	3	16	f	f	X
ejpam-744	3	17	(	(	PUNCT
ejpam-744	3	18	z	z	NOUN
ejpam-744	3	19	)	)	PUNCT
ejpam-744	3	20	=	=	SYM
ejpam-744	3	21	z	z	NOUN
ejpam-744	4	1	+	+	NUM
ejpam-744	4	2	∑∞	∑∞	X
ejpam-744	4	3	n=2	n=2	PRON
ejpam-744	4	4	anzn	anzn	NOUN
ejpam-744	4	5	in	in	ADP
ejpam-744	4	6	the	the	DET
ejpam-744	4	7	unit	unit	NOUN
ejpam-744	4	8	disk	disk	NOUN
ejpam-744	4	9	u	u	NOUN
ejpam-744	4	10	:	:	PUNCT
ejpam-744	4	11	=	=	SYM
ejpam-744	4	12	{	{	PUNCT
ejpam-744	4	13	z	z	NOUN
ejpam-744	4	14	∈	∈	PROPN
ejpam-744	4	15	c	c	NOUN
ejpam-744	4	16	:	:	PUNCT
ejpam-744	4	17	|z|	|z|	NOUN
ejpam-744	4	18	<	<	X
ejpam-744	4	19	1	1	NUM
ejpam-744	4	20	}	}	PUNCT
ejpam-744	4	21	involving	involve	VERB
ejpam-744	4	22	k−th	k−th	PROPN
ejpam-744	4	23	hadamard	hadamard	ADJ
ejpam-744	4	24	product	product	NOUN
ejpam-744	4	25	(	(	PUNCT
ejpam-744	4	26	convolution	convolution	NOUN
ejpam-744	4	27	)	)	PUNCT
ejpam-744	4	28	as	as	SCONJ
ejpam-744	4	29	follows	follow	VERB
ejpam-744	4	30	dk	dk	PROPN
ejpam-744	4	31	α	α	NOUN
ejpam-744	4	32	,	,	PUNCT
ejpam-744	4	33	λ	λ	X
ejpam-744	4	34	f	f	X
ejpam-744	4	35	(	(	PUNCT
ejpam-744	4	36	z	z	NOUN
ejpam-744	4	37	)	)	PUNCT
ejpam-744	4	38	=	=	SYM
ejpam-744	5	1	z	z	NOUN
ejpam-744	6	1	+	+	NOUN
ejpam-744	6	2	∞∑	∞∑	NUM
ejpam-744	6	3	n=2	n=2	PRON
ejpam-744	6	4	[	[	X
ejpam-744	6	5	(	(	PUNCT
ejpam-744	6	6	n−	n−	NOUN
ejpam-744	6	7	1)(λ−α	1)(λ−α	NUM
ejpam-744	6	8	)	)	PUNCT
ejpam-744	6	9	+	+	CCONJ
ejpam-744	7	1	n]kanzn	n]kanzn	PROPN
ejpam-744	7	2	,	,	PUNCT
ejpam-744	7	3	(	(	PUNCT
ejpam-744	7	4	z	z	NOUN
ejpam-744	7	5	∈	∈	PROPN
ejpam-744	7	6	u	u	NOUN
ejpam-744	7	7	)	)	PUNCT
ejpam-744	7	8	.	.	PUNCT
ejpam-744	8	1	these	these	DET
ejpam-744	8	2	operators	operator	NOUN
ejpam-744	8	3	are	be	AUX
ejpam-744	8	4	generalized	generalize	VERB
ejpam-744	8	5	for	for	ADP
ejpam-744	8	6	some	some	PRON
ejpam-744	8	7	of	of	ADP
ejpam-744	8	8	well	well	ADV
ejpam-744	8	9	known	know	VERB
ejpam-744	8	10	operators	operator	NOUN
ejpam-744	8	11	for	for	ADP
ejpam-744	8	12	example	example	NOUN
ejpam-744	8	13	sǎlǎgean	sǎlǎgean	ADJ
ejpam-744	8	14	operator	operator	NOUN
ejpam-744	8	15	.	.	PUNCT
ejpam-744	9	1	new	new	ADJ
ejpam-744	9	2	classes	class	NOUN
ejpam-744	9	3	containing	contain	VERB
ejpam-744	9	4	these	these	DET
ejpam-744	9	5	operators	operator	NOUN
ejpam-744	9	6	are	be	AUX
ejpam-744	9	7	investigated	investigate	VERB
ejpam-744	9	8	.	.	PUNCT
ejpam-744	10	1	characterization	characterization	NOUN
ejpam-744	10	2	and	and	CCONJ
ejpam-744	10	3	other	other	ADJ
ejpam-744	10	4	properties	property	NOUN
ejpam-744	10	5	of	of	ADP
ejpam-744	10	6	these	these	DET
ejpam-744	10	7	classes	class	NOUN
ejpam-744	10	8	are	be	AUX
ejpam-744	10	9	studied	study	VERB
ejpam-744	10	10	.	.	PUNCT
ejpam-744	11	1	2000	2000	NUM
ejpam-744	11	2	mathematics	mathematic	NOUN
ejpam-744	11	3	subject	subject	NOUN
ejpam-744	11	4	classifications	classification	NOUN
ejpam-744	11	5	:	:	PUNCT
ejpam-744	11	6	30c45	30c45	NUM
ejpam-744	11	7	key	key	ADJ
ejpam-744	11	8	words	word	NOUN
ejpam-744	11	9	and	and	CCONJ
ejpam-744	11	10	phrases	phrase	NOUN
ejpam-744	11	11	:	:	PUNCT
ejpam-744	11	12	hadamard	hadamard	ADJ
ejpam-744	11	13	product	product	NOUN
ejpam-744	11	14	;	;	PUNCT
ejpam-744	11	15	integral	integral	ADJ
ejpam-744	11	16	operator	operator	NOUN
ejpam-744	11	17	;	;	PUNCT
ejpam-744	11	18	differential	differential	NOUN
ejpam-744	11	19	operator	operator	NOUN
ejpam-744	11	20	;	;	PUNCT
ejpam-744	11	21	sǎlǎgean	sǎlǎgean	ADJ
ejpam-744	11	22	operator	operator	NOUN
ejpam-744	11	23	.	.	PUNCT
ejpam-744	12	1	1	1	X
ejpam-744	12	2	.	.	X
ejpam-744	12	3	introduction	introduction	NOUN
ejpam-744	12	4	and	and	CCONJ
ejpam-744	12	5	preliminaries	preliminary	NOUN
ejpam-744	12	6	let	let	VERB
ejpam-744	12	7	h	h	NOUN
ejpam-744	12	8	be	be	AUX
ejpam-744	12	9	the	the	DET
ejpam-744	12	10	class	class	NOUN
ejpam-744	12	11	of	of	ADP
ejpam-744	12	12	functions	function	NOUN
ejpam-744	12	13	analytic	analytic	ADJ
ejpam-744	12	14	in	in	ADP
ejpam-744	12	15	u	u	NOUN
ejpam-744	12	16	:	:	PUNCT
ejpam-744	12	17	=	=	SYM
ejpam-744	12	18	{	{	PUNCT
ejpam-744	12	19	z	z	NOUN
ejpam-744	12	20	∈	∈	PROPN
ejpam-744	12	21	c	c	NOUN
ejpam-744	12	22	:	:	PUNCT
ejpam-744	12	23	|z|	|z|	VERB
ejpam-744	12	24	<	<	X
ejpam-744	12	25	1	1	NUM
ejpam-744	12	26	}	}	PUNCT
ejpam-744	12	27	and	and	CCONJ
ejpam-744	12	28	h	h	X
ejpam-744	13	1	[	[	X
ejpam-744	13	2	a	a	X
ejpam-744	13	3	,	,	PUNCT
ejpam-744	13	4	n	n	CCONJ
ejpam-744	13	5	]	]	PUNCT
ejpam-744	13	6	be	be	AUX
ejpam-744	13	7	the	the	DET
ejpam-744	13	8	subclass	subclass	NOUN
ejpam-744	13	9	ofh	ofh	NOUN
ejpam-744	13	10	consisting	consisting	NOUN
ejpam-744	13	11	of	of	ADP
ejpam-744	13	12	functions	function	NOUN
ejpam-744	13	13	of	of	ADP
ejpam-744	13	14	the	the	DET
ejpam-744	13	15	form	form	NOUN
ejpam-744	13	16	f	f	X
ejpam-744	13	17	(	(	PUNCT
ejpam-744	13	18	z	z	NOUN
ejpam-744	13	19	)	)	PUNCT
ejpam-744	13	20	=	=	SYM
ejpam-744	13	21	a+	a+	PUNCT
ejpam-744	13	22	anzn	anzn	NOUN
ejpam-744	13	23	+	+	CCONJ
ejpam-744	13	24	an+1zn+1	an+1zn+1	ADJ
ejpam-744	13	25	+	+	PUNCT
ejpam-744	13	26	.	.	PUNCT
ejpam-744	13	27	.	.	PUNCT
ejpam-744	14	1	..	..	PUNCT
ejpam-744	15	1	leta	leta	PROPN
ejpam-744	15	2	be	be	VERB
ejpam-744	15	3	the	the	DET
ejpam-744	15	4	subclass	subclass	NOUN
ejpam-744	15	5	of	of	ADP
ejpam-744	15	6	h	h	NOUN
ejpam-744	15	7	consisting	consist	VERB
ejpam-744	15	8	of	of	ADP
ejpam-744	15	9	functions	function	NOUN
ejpam-744	15	10	of	of	ADP
ejpam-744	15	11	the	the	DET
ejpam-744	15	12	form	form	NOUN
ejpam-744	15	13	f	f	X
ejpam-744	15	14	(	(	PUNCT
ejpam-744	15	15	z	z	NOUN
ejpam-744	15	16	)	)	PUNCT
ejpam-744	15	17	=	=	SYM
ejpam-744	16	1	z	z	NOUN
ejpam-744	17	1	+	+	NOUN
ejpam-744	17	2	∞∑	∞∑	NUM
ejpam-744	17	3	n=2	n=2	X
ejpam-744	17	4	anzn	anzn	NOUN
ejpam-744	17	5	,	,	PUNCT
ejpam-744	17	6	(	(	PUNCT
ejpam-744	17	7	z	z	NOUN
ejpam-744	17	8	∈	∈	PROPN
ejpam-744	17	9	u	u	NOUN
ejpam-744	17	10	)	)	PUNCT
ejpam-744	17	11	.	.	PUNCT
ejpam-744	18	1	(	(	PUNCT
ejpam-744	18	2	1	1	X
ejpam-744	18	3	)	)	PUNCT
ejpam-744	18	4	given	give	VERB
ejpam-744	18	5	two	two	NUM
ejpam-744	18	6	functions	function	NOUN
ejpam-744	18	7	f	f	NOUN
ejpam-744	18	8	,	,	PUNCT
ejpam-744	18	9	g	g	PROPN
ejpam-744	18	10	∈a	∈a	PROPN
ejpam-744	18	11	,	,	PUNCT
ejpam-744	18	12	f	f	PROPN
ejpam-744	18	13	(	(	PUNCT
ejpam-744	18	14	z	z	NOUN
ejpam-744	18	15	)	)	PUNCT
ejpam-744	18	16	=	=	SYM
ejpam-744	19	1	z+	z+	NUM
ejpam-744	19	2	∑∞	∑∞	X
ejpam-744	19	3	n=2	n=2	X
ejpam-744	19	4	anzn	anzn	NOUN
ejpam-744	19	5	and	and	CCONJ
ejpam-744	19	6	g(z	g(z	ADJ
ejpam-744	19	7	)	)	PUNCT
ejpam-744	20	1	=	=	SYM
ejpam-744	20	2	z+	z+	NUM
ejpam-744	20	3	∑∞	∑∞	NOUN
ejpam-744	20	4	n=2	n=2	PRON
ejpam-744	20	5	bnzn	bnzn	VERB
ejpam-744	20	6	their	their	PRON
ejpam-744	20	7	convolution	convolution	NOUN
ejpam-744	20	8	or	or	CCONJ
ejpam-744	20	9	hadamard	hadamard	ADJ
ejpam-744	20	10	product	product	NOUN
ejpam-744	20	11	f	f	PROPN
ejpam-744	20	12	(	(	PUNCT
ejpam-744	20	13	z	z	NOUN
ejpam-744	20	14	)	)	PUNCT
ejpam-744	20	15	∗	∗	NOUN
ejpam-744	20	16	g(z	g(z	PROPN
ejpam-744	20	17	)	)	PUNCT
ejpam-744	20	18	is	be	AUX
ejpam-744	20	19	defined	define	VERB
ejpam-744	20	20	by	by	ADP
ejpam-744	20	21	f	f	PROPN
ejpam-744	20	22	(	(	PUNCT
ejpam-744	20	23	z	z	NOUN
ejpam-744	20	24	)	)	PUNCT
ejpam-744	20	25	∗	∗	NOUN
ejpam-744	20	26	g(z	g(z	ADJ
ejpam-744	20	27	)	)	PUNCT
ejpam-744	20	28	=	=	SYM
ejpam-744	21	1	z	z	NOUN
ejpam-744	22	1	+	+	NOUN
ejpam-744	22	2	∞∑	∞∑	NUM
ejpam-744	22	3	n=2	n=2	AUX
ejpam-744	22	4	an	an	DET
ejpam-744	22	5	bnzn	bnzn	NOUN
ejpam-744	22	6	,	,	PUNCT
ejpam-744	22	7	(	(	PUNCT
ejpam-744	22	8	z	z	NOUN
ejpam-744	22	9	∈	∈	PROPN
ejpam-744	22	10	u	u	NOUN
ejpam-744	22	11	)	)	PUNCT
ejpam-744	22	12	.	.	PUNCT
ejpam-744	23	1	∗corresponding	∗corresponde	VERB
ejpam-744	23	2	author	author	NOUN
ejpam-744	23	3	.	.	PUNCT
ejpam-744	24	1	email	email	NOUN
ejpam-744	24	2	addresses	address	NOUN
ejpam-744	24	3	:	:	PUNCT
ejpam-744	24	4	maslina�ukm.my	maslina�ukm.my	PROPN
ejpam-744	24	5	(	(	PUNCT
ejpam-744	24	6	m.	m.	NOUN
ejpam-744	24	7	darus	darus	PROPN
ejpam-744	24	8	)	)	PUNCT
ejpam-744	24	9	,	,	PUNCT
ejpam-744	24	10	rabhaibrahim	rabhaibrahim	PROPN
ejpam-744	24	11	�	�	PROPN
ejpam-744	24	12	yahoo	yahoo	PROPN
ejpam-744	25	1	.	.	PUNCT
ejpam-744	25	2	om	om	PROPN
ejpam-744	25	3	(	(	PUNCT
ejpam-744	25	4	r.	r.	PROPN
ejpam-744	25	5	ibrahim	ibrahim	PROPN
ejpam-744	25	6	)	)	PUNCT
ejpam-744	25	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-744	26	1	59	59	NUM
ejpam-744	26	2	c	c	X
ejpam-744	26	3	©	©	PROPN
ejpam-744	26	4	2010	2010	NUM
ejpam-744	26	5	ejpam	ejpam	NOUN
ejpam-744	26	6	all	all	DET
ejpam-744	26	7	rights	right	NOUN
ejpam-744	26	8	reserved	reserve	VERB
ejpam-744	26	9	.	.	PUNCT
ejpam-744	27	1	m.	m.	NOUN
ejpam-744	27	2	darus	darus	PROPN
ejpam-744	27	3	,	,	PUNCT
ejpam-744	27	4	r.	r.	PROPN
ejpam-744	27	5	ibrahim	ibrahim	PROPN
ejpam-744	27	6	/	/	PUNCT
ejpam-744	27	7	eur	eur	PROPN
ejpam-744	27	8	.	.	PUNCT
ejpam-744	28	1	j.	j.	PROPN
ejpam-744	28	2	pure	pure	PROPN
ejpam-744	28	3	appl	appl	PROPN
ejpam-744	28	4	.	.	PROPN
ejpam-744	28	5	math	math	PROPN
ejpam-744	28	6	,	,	PUNCT
ejpam-744	28	7	4	4	NUM
ejpam-744	28	8	(	(	PUNCT
ejpam-744	28	9	2011	2011	NUM
ejpam-744	28	10	)	)	PUNCT
ejpam-744	28	11	,	,	PUNCT
ejpam-744	28	12	59	59	NUM
ejpam-744	28	13	-	-	SYM
ejpam-744	28	14	66	66	NUM
ejpam-744	28	15	60	60	NUM
ejpam-744	28	16	and	and	CCONJ
ejpam-744	28	17	for	for	ADP
ejpam-744	28	18	several	several	ADJ
ejpam-744	28	19	functions	function	NOUN
ejpam-744	28	20	f1(z	f1(z	NOUN
ejpam-744	28	21	)	)	PUNCT
ejpam-744	28	22	,	,	PUNCT
ejpam-744	28	23	.	.	PUNCT
ejpam-744	28	24	.	.	PUNCT
ejpam-744	28	25	.	.	PUNCT
ejpam-744	29	1	,	,	PUNCT
ejpam-744	29	2	fm(z	fm(z	NOUN
ejpam-744	29	3	)	)	PUNCT
ejpam-744	29	4	∈a	∈a	NUM
ejpam-744	29	5	f1(z	f1(z	PROPN
ejpam-744	29	6	)	)	PUNCT
ejpam-744	29	7	∗	∗	NOUN
ejpam-744	29	8	.	.	PUNCT
ejpam-744	29	9	.	.	PUNCT
ejpam-744	29	10	.	.	PUNCT
ejpam-744	30	1	∗	∗	NOUN
ejpam-744	30	2	fm(z	fm(z	X
ejpam-744	30	3	)	)	PUNCT
ejpam-744	30	4	=	=	SYM
ejpam-744	30	5	z	z	NOUN
ejpam-744	31	1	+	+	NOUN
ejpam-744	31	2	∞∑	∞∑	NUM
ejpam-744	31	3	n=2	n=2	PRON
ejpam-744	31	4	(	(	PUNCT
ejpam-744	31	5	a1n	a1n	NOUN
ejpam-744	31	6	...	...	PUNCT
ejpam-744	31	7	amn)z	amn)z	PROPN
ejpam-744	31	8	n	n	CCONJ
ejpam-744	31	9	,	,	PUNCT
ejpam-744	31	10	(	(	PUNCT
ejpam-744	31	11	z	z	NOUN
ejpam-744	31	12	∈	∈	PROPN
ejpam-744	31	13	u	u	NOUN
ejpam-744	31	14	)	)	PUNCT
ejpam-744	31	15	.	.	PUNCT
ejpam-744	32	1	our	our	PRON
ejpam-744	32	2	aim	aim	NOUN
ejpam-744	32	3	is	be	AUX
ejpam-744	32	4	to	to	PART
ejpam-744	32	5	use	use	VERB
ejpam-744	32	6	the	the	DET
ejpam-744	32	7	hadamard	hadamard	ADJ
ejpam-744	32	8	product	product	NOUN
ejpam-744	32	9	of	of	ADP
ejpam-744	32	10	k−th	k−th	PROPN
ejpam-744	32	11	order	order	NOUN
ejpam-744	32	12	to	to	PART
ejpam-744	32	13	define	define	VERB
ejpam-744	32	14	generalized	generalized	ADJ
ejpam-744	32	15	differential	differential	NOUN
ejpam-744	32	16	and	and	CCONJ
ejpam-744	32	17	integral	integral	ADJ
ejpam-744	32	18	operators	operator	NOUN
ejpam-744	32	19	.	.	PUNCT
ejpam-744	33	1	for	for	ADP
ejpam-744	33	2	a	a	DET
ejpam-744	33	3	function	function	NOUN
ejpam-744	33	4	f	f	PROPN
ejpam-744	33	5	ina	ina	PROPN
ejpam-744	33	6	of	of	ADP
ejpam-744	33	7	the	the	DET
ejpam-744	33	8	form	form	NOUN
ejpam-744	33	9	(	(	PUNCT
ejpam-744	33	10	1	1	X
ejpam-744	33	11	)	)	PUNCT
ejpam-744	33	12	first	first	ADV
ejpam-744	33	13	,	,	PUNCT
ejpam-744	33	14	we	we	PRON
ejpam-744	33	15	define	define	VERB
ejpam-744	33	16	the	the	DET
ejpam-744	33	17	following	follow	VERB
ejpam-744	33	18	generalized	generalized	ADJ
ejpam-744	33	19	differential	differential	NOUN
ejpam-744	33	20	operator	operator	NOUN
ejpam-744	33	21	:	:	PUNCT
ejpam-744	33	22	d0	d0	PROPN
ejpam-744	33	23	f	f	PROPN
ejpam-744	33	24	(	(	PUNCT
ejpam-744	33	25	z	z	NOUN
ejpam-744	33	26	)	)	PUNCT
ejpam-744	34	1	=	=	SYM
ejpam-744	34	2	f	f	X
ejpam-744	34	3	(	(	PUNCT
ejpam-744	34	4	z	z	NOUN
ejpam-744	34	5	)	)	PUNCT
ejpam-744	34	6	=	=	SYM
ejpam-744	34	7	z	z	NOUN
ejpam-744	35	1	+	+	NOUN
ejpam-744	35	2	∞∑	∞∑	NUM
ejpam-744	35	3	n=2	n=2	X
ejpam-744	35	4	anzn	anzn	NOUN
ejpam-744	35	5	,	,	PUNCT
ejpam-744	35	6	d1	d1	PROPN
ejpam-744	35	7	α	α	NOUN
ejpam-744	35	8	,	,	PUNCT
ejpam-744	35	9	λ	λ	X
ejpam-744	35	10	f	f	X
ejpam-744	35	11	(	(	PUNCT
ejpam-744	35	12	z	z	NOUN
ejpam-744	35	13	)	)	PUNCT
ejpam-744	35	14	=	=	SYM
ejpam-744	35	15	(	(	PUNCT
ejpam-744	35	16	α−λ	α−λ	PROPN
ejpam-744	35	17	)	)	PUNCT
ejpam-744	35	18	f	f	NOUN
ejpam-744	35	19	(	(	PUNCT
ejpam-744	35	20	z	z	NOUN
ejpam-744	35	21	)	)	PUNCT
ejpam-744	36	1	+	+	CCONJ
ejpam-744	36	2	(	(	PUNCT
ejpam-744	36	3	λ−α+	λ−α+	PROPN
ejpam-744	36	4	1)z	1)z	PROPN
ejpam-744	36	5	f	f	PROPN
ejpam-744	36	6	′(z	′(z	ADV
ejpam-744	36	7	)	)	PUNCT
ejpam-744	36	8	=	=	SYM
ejpam-744	36	9	z	z	NOUN
ejpam-744	36	10	+	+	NOUN
ejpam-744	36	11	∞∑	∞∑	NUM
ejpam-744	36	12	n=2	n=2	PRON
ejpam-744	37	1	[	[	X
ejpam-744	37	2	(	(	PUNCT
ejpam-744	37	3	n−	n−	NOUN
ejpam-744	37	4	1)(λ−α	1)(λ−α	NUM
ejpam-744	37	5	)	)	PUNCT
ejpam-744	37	6	+	+	NUM
ejpam-744	37	7	n]anzn	n]anzn	NOUN
ejpam-744	37	8	,	,	PUNCT
ejpam-744	37	9	...	...	PUNCT
ejpam-744	38	1	dk	dk	PROPN
ejpam-744	38	2	α	α	NOUN
ejpam-744	38	3	,	,	PUNCT
ejpam-744	38	4	λ	λ	X
ejpam-744	38	5	f	f	X
ejpam-744	38	6	(	(	PUNCT
ejpam-744	38	7	z	z	NOUN
ejpam-744	38	8	)	)	PUNCT
ejpam-744	38	9	=	=	SYM
ejpam-744	38	10	d1	d1	PROPN
ejpam-744	38	11	α	α	NOUN
ejpam-744	38	12	,	,	PUNCT
ejpam-744	38	13	λ	λ	PROPN
ejpam-744	38	14	�	�	PROPN
ejpam-744	38	15	dk−1	dk−1	PROPN
ejpam-744	38	16	α	α	NOUN
ejpam-744	38	17	,	,	PUNCT
ejpam-744	38	18	λ	λ	PROPN
ejpam-744	38	19	,	,	PUNCT
ejpam-744	38	20	f	f	PROPN
ejpam-744	38	21	(	(	PUNCT
ejpam-744	38	22	z	z	NOUN
ejpam-744	38	23	)	)	PUNCT
ejpam-744	38	24	�	�	PROPN
ejpam-744	38	25	=	=	PUNCT
ejpam-744	38	26	z	z	NOUN
ejpam-744	38	27	+	+	NOUN
ejpam-744	38	28	∞∑	∞∑	NUM
ejpam-744	38	29	n=2	n=2	PRON
ejpam-744	38	30	[	[	X
ejpam-744	38	31	(	(	PUNCT
ejpam-744	38	32	n−	n−	NOUN
ejpam-744	38	33	1)(λ−α	1)(λ−α	NUM
ejpam-744	38	34	)	)	PUNCT
ejpam-744	38	35	+	+	CCONJ
ejpam-744	38	36	n]kanzn	n]kanzn	PROPN
ejpam-744	38	37	(	(	PUNCT
ejpam-744	38	38	2	2	NUM
ejpam-744	38	39	)	)	PUNCT
ejpam-744	38	40	for	for	ADP
ejpam-744	38	41	α	α	PRON
ejpam-744	38	42	≥	≥	PROPN
ejpam-744	38	43	0,λ	0,λ	NOUN
ejpam-744	38	44	≥	≥	X
ejpam-744	38	45	0	0	NUM
ejpam-744	38	46	and	and	CCONJ
ejpam-744	38	47	k	k	PROPN
ejpam-744	38	48	∈	∈	PROPN
ejpam-744	38	49	n0	n0	PROPN
ejpam-744	38	50	=	=	SYM
ejpam-744	38	51	n	n	PRON
ejpam-744	38	52	∪	∪	X
ejpam-744	38	53	{	{	PUNCT
ejpam-744	38	54	0	0	NUM
ejpam-744	38	55	}	}	PUNCT
ejpam-744	38	56	with	with	ADP
ejpam-744	38	57	dk	dk	PROPN
ejpam-744	38	58	α	α	NOUN
ejpam-744	38	59	,	,	PUNCT
ejpam-744	38	60	λ	λ	X
ejpam-744	38	61	f	f	X
ejpam-744	38	62	(	(	PUNCT
ejpam-744	38	63	0	0	NUM
ejpam-744	38	64	)	)	PUNCT
ejpam-744	38	65	=	=	SYM
ejpam-744	38	66	0	0	X
ejpam-744	38	67	.	.	X
ejpam-744	38	68	note	note	VERB
ejpam-744	38	69	that	that	SCONJ
ejpam-744	38	70	when	when	SCONJ
ejpam-744	38	71	α	α	PRON
ejpam-744	38	72	=	=	PUNCT
ejpam-744	38	73	λ	λ	X
ejpam-744	38	74	we	we	PRON
ejpam-744	38	75	get	get	VERB
ejpam-744	38	76	sǎlǎgean	sǎlǎgean	PROPN
ejpam-744	38	77	’s	’s	PART
ejpam-744	38	78	differential	differential	ADJ
ejpam-744	38	79	operator	operator	NOUN
ejpam-744	38	80	[	[	X
ejpam-744	38	81	see	see	VERB
ejpam-744	38	82	11	11	NUM
ejpam-744	38	83	]	]	PUNCT
ejpam-744	38	84	.	.	PUNCT
ejpam-744	39	1	let	let	VERB
ejpam-744	39	2	m	m	PROPN
ejpam-744	39	3	(	(	PUNCT
ejpam-744	39	4	µ	µ	NOUN
ejpam-744	39	5	)	)	PUNCT
ejpam-744	39	6	be	be	AUX
ejpam-744	39	7	the	the	DET
ejpam-744	39	8	subclass	subclass	NOUN
ejpam-744	39	9	of	of	ADP
ejpam-744	39	10	the	the	DET
ejpam-744	39	11	class	class	NOUN
ejpam-744	39	12	a	a	DET
ejpam-744	39	13	consisting	consisting	NOUN
ejpam-744	39	14	of	of	ADP
ejpam-744	39	15	functions	function	NOUN
ejpam-744	40	1	f	f	X
ejpam-744	40	2	(	(	PUNCT
ejpam-744	40	3	z	z	NOUN
ejpam-744	40	4	)	)	PUNCT
ejpam-744	40	5	which	which	PRON
ejpam-744	40	6	satisfy	satisfy	VERB
ejpam-744	40	7	the	the	DET
ejpam-744	40	8	inequality	inequality	NOUN
ejpam-744	40	9	ℜ	ℜ	PROPN
ejpam-744	40	10	{	{	PUNCT
ejpam-744	40	11	z	z	NOUN
ejpam-744	40	12	f	f	PROPN
ejpam-744	40	13	′(z	′(z	NOUN
ejpam-744	40	14	)	)	PUNCT
ejpam-744	40	15	f	f	PROPN
ejpam-744	40	16	(	(	PUNCT
ejpam-744	40	17	z	z	NOUN
ejpam-744	40	18	)	)	PUNCT
ejpam-744	40	19	}	}	PUNCT
ejpam-744	40	20	<	<	X
ejpam-744	40	21	µ	µ	X
ejpam-744	40	22	,	,	PUNCT
ejpam-744	40	23	(	(	PUNCT
ejpam-744	40	24	z	z	NOUN
ejpam-744	40	25	∈	∈	PROPN
ejpam-744	40	26	u	u	NOUN
ejpam-744	40	27	)	)	PUNCT
ejpam-744	40	28	for	for	ADP
ejpam-744	40	29	some	some	DET
ejpam-744	40	30	µ(µ	µ(µ	PROPN
ejpam-744	40	31	>	>	X
ejpam-744	40	32	1	1	NUM
ejpam-744	40	33	)	)	PUNCT
ejpam-744	40	34	.	.	PUNCT
ejpam-744	41	1	and	and	CCONJ
ejpam-744	41	2	let	let	VERB
ejpam-744	41	3	n	n	PROPN
ejpam-744	41	4	(	(	PUNCT
ejpam-744	41	5	µ	µ	NOUN
ejpam-744	41	6	)	)	PUNCT
ejpam-744	41	7	be	be	AUX
ejpam-744	41	8	the	the	DET
ejpam-744	41	9	subclass	subclass	NOUN
ejpam-744	41	10	of	of	ADP
ejpam-744	41	11	the	the	DET
ejpam-744	41	12	class	class	NOUN
ejpam-744	41	13	a	a	DET
ejpam-744	41	14	consisting	consisting	NOUN
ejpam-744	41	15	of	of	ADP
ejpam-744	41	16	functions	function	NOUN
ejpam-744	42	1	f	f	X
ejpam-744	42	2	(	(	PUNCT
ejpam-744	42	3	z	z	NOUN
ejpam-744	42	4	)	)	PUNCT
ejpam-744	42	5	which	which	PRON
ejpam-744	42	6	satisfy	satisfy	VERB
ejpam-744	42	7	the	the	DET
ejpam-744	42	8	inequality	inequality	NOUN
ejpam-744	42	9	ℜ	ℜ	PROPN
ejpam-744	42	10	{	{	PUNCT
ejpam-744	42	11	z	z	PROPN
ejpam-744	42	12	f	f	PROPN
ejpam-744	42	13	′′(z	′′(z	PROPN
ejpam-744	42	14	)	)	PUNCT
ejpam-744	42	15	f	f	PROPN
ejpam-744	42	16	′(z	′(z	NOUN
ejpam-744	42	17	)	)	PUNCT
ejpam-744	42	18	}	}	PUNCT
ejpam-744	42	19	<	<	X
ejpam-744	42	20	µ	µ	X
ejpam-744	42	21	,	,	PUNCT
ejpam-744	42	22	(	(	PUNCT
ejpam-744	42	23	z	z	NOUN
ejpam-744	42	24	∈	∈	PROPN
ejpam-744	42	25	u	u	NOUN
ejpam-744	42	26	)	)	PUNCT
ejpam-744	42	27	for	for	ADP
ejpam-744	42	28	some	some	DET
ejpam-744	42	29	µ(µ	µ(µ	PROPN
ejpam-744	42	30	>	>	X
ejpam-744	42	31	1	1	NUM
ejpam-744	42	32	)	)	PUNCT
ejpam-744	42	33	.	.	PUNCT
ejpam-744	43	1	then	then	ADV
ejpam-744	43	2	f	f	PROPN
ejpam-744	43	3	∈	∈	PROPN
ejpam-744	43	4	n	n	CCONJ
ejpam-744	43	5	(	(	PUNCT
ejpam-744	43	6	µ	µ	NOUN
ejpam-744	43	7	)	)	PUNCT
ejpam-744	43	8	if	if	SCONJ
ejpam-744	44	1	and	and	CCONJ
ejpam-744	44	2	only	only	ADV
ejpam-744	44	3	if	if	SCONJ
ejpam-744	44	4	z	z	NOUN
ejpam-744	44	5	f	f	NOUN
ejpam-744	45	1	′	′	NUM
ejpam-744	45	2	∈	∈	PROPN
ejpam-744	45	3	m	m	VERB
ejpam-744	45	4	(	(	PUNCT
ejpam-744	45	5	µ	µ	NOUN
ejpam-744	45	6	)	)	PUNCT
ejpam-744	45	7	.	.	PUNCT
ejpam-744	46	1	in	in	ADP
ejpam-744	46	2	this	this	DET
ejpam-744	46	3	paper	paper	NOUN
ejpam-744	46	4	we	we	PRON
ejpam-744	46	5	define	define	VERB
ejpam-744	46	6	and	and	CCONJ
ejpam-744	46	7	study	study	VERB
ejpam-744	46	8	the	the	DET
ejpam-744	46	9	following	follow	VERB
ejpam-744	46	10	subclasses	subclass	NOUN
ejpam-744	46	11	involving	involve	VERB
ejpam-744	46	12	the	the	DET
ejpam-744	46	13	generalized	generalize	VERB
ejpam-744	46	14	differential	differential	NOUN
ejpam-744	46	15	operator	operator	NOUN
ejpam-744	46	16	(	(	PUNCT
ejpam-744	46	17	2	2	NUM
ejpam-744	46	18	)	)	PUNCT
ejpam-744	46	19	.	.	PUNCT
ejpam-744	47	1	letm	letm	PROPN
ejpam-744	47	2	k	k	PROPN
ejpam-744	47	3	α	α	PROPN
ejpam-744	47	4	,	,	PUNCT
ejpam-744	47	5	λ	λ	PROPN
ejpam-744	47	6	(	(	PUNCT
ejpam-744	47	7	µ	µ	NOUN
ejpam-744	47	8	)	)	PUNCT
ejpam-744	47	9	be	be	AUX
ejpam-744	47	10	the	the	DET
ejpam-744	47	11	subclass	subclass	NOUN
ejpam-744	47	12	of	of	ADP
ejpam-744	47	13	the	the	DET
ejpam-744	47	14	classa	classa	NOUN
ejpam-744	47	15	consisting	consist	VERB
ejpam-744	47	16	of	of	ADP
ejpam-744	47	17	functions	function	NOUN
ejpam-744	47	18	f	f	X
ejpam-744	47	19	(	(	PUNCT
ejpam-744	47	20	z	z	NOUN
ejpam-744	47	21	)	)	PUNCT
ejpam-744	47	22	which	which	PRON
ejpam-744	47	23	satisfy	satisfy	VERB
ejpam-744	47	24	the	the	DET
ejpam-744	47	25	inequality	inequality	NOUN
ejpam-744	47	26	ℜ	ℜ	PROPN
ejpam-744	47	27	{	{	PUNCT
ejpam-744	47	28	z[dk	z[dk	PROPN
ejpam-744	47	29	α	α	PROPN
ejpam-744	47	30	,	,	PUNCT
ejpam-744	47	31	λ	λ	X
ejpam-744	47	32	f	f	X
ejpam-744	47	33	(	(	PUNCT
ejpam-744	47	34	z)]′	z)]′	NUM
ejpam-744	47	35	dk	dk	PROPN
ejpam-744	47	36	α	α	NOUN
ejpam-744	47	37	,	,	PUNCT
ejpam-744	47	38	λ	λ	X
ejpam-744	47	39	f	f	X
ejpam-744	47	40	(	(	PUNCT
ejpam-744	47	41	z	z	NOUN
ejpam-744	47	42	)	)	PUNCT
ejpam-744	47	43	}	}	PUNCT
ejpam-744	47	44	<	<	X
ejpam-744	47	45	µ	µ	X
ejpam-744	47	46	,	,	PUNCT
ejpam-744	47	47	(	(	PUNCT
ejpam-744	47	48	z	z	NOUN
ejpam-744	47	49	∈	∈	PROPN
ejpam-744	47	50	u	u	NOUN
ejpam-744	47	51	)	)	PUNCT
ejpam-744	47	52	m.	m.	NOUN
ejpam-744	47	53	darus	darus	NOUN
ejpam-744	47	54	,	,	PUNCT
ejpam-744	47	55	r.	r.	PROPN
ejpam-744	47	56	ibrahim	ibrahim	PROPN
ejpam-744	47	57	/	/	PUNCT
ejpam-744	47	58	eur	eur	PROPN
ejpam-744	47	59	.	.	PUNCT
ejpam-744	48	1	j.	j.	PROPN
ejpam-744	48	2	pure	pure	PROPN
ejpam-744	48	3	appl	appl	PROPN
ejpam-744	48	4	.	.	PROPN
ejpam-744	48	5	math	math	PROPN
ejpam-744	48	6	,	,	PUNCT
ejpam-744	48	7	4	4	NUM
ejpam-744	48	8	(	(	PUNCT
ejpam-744	48	9	2011	2011	NUM
ejpam-744	48	10	)	)	PUNCT
ejpam-744	48	11	,	,	PUNCT
ejpam-744	48	12	59	59	NUM
ejpam-744	48	13	-	-	SYM
ejpam-744	48	14	66	66	NUM
ejpam-744	48	15	61	61	NUM
ejpam-744	48	16	for	for	ADP
ejpam-744	48	17	some	some	DET
ejpam-744	48	18	µ(µ	µ(µ	PROPN
ejpam-744	48	19	>	>	X
ejpam-744	48	20	1	1	NUM
ejpam-744	48	21	)	)	PUNCT
ejpam-744	48	22	.	.	PUNCT
ejpam-744	49	1	and	and	CCONJ
ejpam-744	49	2	letn	letn	VERB
ejpam-744	49	3	k	k	PROPN
ejpam-744	49	4	α	α	PROPN
ejpam-744	49	5	,	,	PUNCT
ejpam-744	49	6	λ	λ	PROPN
ejpam-744	49	7	(	(	PUNCT
ejpam-744	49	8	µ	µ	NOUN
ejpam-744	49	9	)	)	PUNCT
ejpam-744	49	10	be	be	AUX
ejpam-744	49	11	the	the	DET
ejpam-744	49	12	subclass	subclass	NOUN
ejpam-744	49	13	of	of	ADP
ejpam-744	49	14	the	the	DET
ejpam-744	49	15	classa	classa	NOUN
ejpam-744	49	16	consisting	consist	VERB
ejpam-744	49	17	of	of	ADP
ejpam-744	49	18	functions	function	NOUN
ejpam-744	49	19	f	f	X
ejpam-744	49	20	(	(	PUNCT
ejpam-744	49	21	z	z	NOUN
ejpam-744	49	22	)	)	PUNCT
ejpam-744	49	23	which	which	PRON
ejpam-744	49	24	satisfy	satisfy	VERB
ejpam-744	49	25	the	the	DET
ejpam-744	49	26	inequality	inequality	NOUN
ejpam-744	49	27	ℜ	ℜ	PROPN
ejpam-744	49	28	{	{	PUNCT
ejpam-744	49	29	z[dk	z[dk	PROPN
ejpam-744	49	30	α	α	PROPN
ejpam-744	49	31	,	,	PUNCT
ejpam-744	49	32	λ	λ	X
ejpam-744	49	33	f	f	X
ejpam-744	49	34	(	(	PUNCT
ejpam-744	49	35	z)]′′	z)]′′	PROPN
ejpam-744	50	1	[	[	X
ejpam-744	50	2	dk	dk	PROPN
ejpam-744	50	3	α	α	PROPN
ejpam-744	50	4	,	,	PUNCT
ejpam-744	50	5	λ	λ	X
ejpam-744	50	6	f	f	X
ejpam-744	50	7	(	(	PUNCT
ejpam-744	50	8	z)]′	z)]′	NUM
ejpam-744	50	9	}	}	PUNCT
ejpam-744	50	10	<	<	X
ejpam-744	50	11	µ	µ	NUM
ejpam-744	50	12	,	,	PUNCT
ejpam-744	50	13	(	(	PUNCT
ejpam-744	50	14	z	z	NOUN
ejpam-744	50	15	∈	∈	PROPN
ejpam-744	50	16	u	u	NOUN
ejpam-744	50	17	)	)	PUNCT
ejpam-744	50	18	for	for	ADP
ejpam-744	50	19	some	some	DET
ejpam-744	50	20	µ(µ	µ(µ	PROPN
ejpam-744	50	21	>	>	X
ejpam-744	50	22	1	1	NUM
ejpam-744	50	23	)	)	PUNCT
ejpam-744	50	24	.	.	PUNCT
ejpam-744	51	1	then	then	ADV
ejpam-744	51	2	f	f	PROPN
ejpam-744	51	3	∈	∈	PROPN
ejpam-744	51	4	n	n	PROPN
ejpam-744	51	5	k	k	PROPN
ejpam-744	51	6	α	α	PROPN
ejpam-744	51	7	,	,	PUNCT
ejpam-744	51	8	λ	λ	PROPN
ejpam-744	51	9	(	(	PUNCT
ejpam-744	51	10	µ	µ	NOUN
ejpam-744	51	11	)	)	PUNCT
ejpam-744	51	12	if	if	SCONJ
ejpam-744	51	13	and	and	CCONJ
ejpam-744	51	14	only	only	ADV
ejpam-744	51	15	if	if	SCONJ
ejpam-744	51	16	z	z	NOUN
ejpam-744	51	17	f	f	NOUN
ejpam-744	51	18	′	′	NUM
ejpam-744	51	19	∈m	∈m	NOUN
ejpam-744	51	20	k	k	PROPN
ejpam-744	51	21	α	α	PROPN
ejpam-744	51	22	,	,	PUNCT
ejpam-744	51	23	λ	λ	PROPN
ejpam-744	51	24	(	(	PUNCT
ejpam-744	51	25	µ)(µ	µ)(µ	NOUN
ejpam-744	51	26	)	)	PUNCT
ejpam-744	51	27	.	.	PUNCT
ejpam-744	52	1	remark	remark	PROPN
ejpam-744	52	2	1	1	NUM
ejpam-744	52	3	.	.	PUNCT
ejpam-744	53	1	when	when	SCONJ
ejpam-744	53	2	k	k	PROPN
ejpam-744	53	3	=	=	SYM
ejpam-744	53	4	0	0	PROPN
ejpam-744	53	5	,	,	PUNCT
ejpam-744	53	6	then	then	ADV
ejpam-744	53	7	the	the	DET
ejpam-744	53	8	classes	class	NOUN
ejpam-744	53	9	m	m	VERB
ejpam-744	53	10	0	0	NUM
ejpam-744	53	11	α	α	NOUN
ejpam-744	53	12	,	,	PUNCT
ejpam-744	53	13	λ(µ)≡m	λ(µ)≡m	PROPN
ejpam-744	53	14	(	(	PUNCT
ejpam-744	53	15	µ	µ	NOUN
ejpam-744	53	16	)	)	PUNCT
ejpam-744	53	17	and	and	CCONJ
ejpam-744	53	18	n	n	ADV
ejpam-744	53	19	0	0	NUM
ejpam-744	54	1	α	α	NOUN
ejpam-744	54	2	,	,	PUNCT
ejpam-744	54	3	λ(µ)≡n	λ(µ)≡n	PROPN
ejpam-744	54	4	(	(	PUNCT
ejpam-744	54	5	µ	µ	NOUN
ejpam-744	54	6	)	)	PUNCT
ejpam-744	54	7	were	be	AUX
ejpam-744	54	8	introduced	introduce	VERB
ejpam-744	54	9	by	by	ADP
ejpam-744	54	10	(	(	PUNCT
ejpam-744	54	11	i	i	NOUN
ejpam-744	54	12	)	)	PUNCT
ejpam-744	54	13	for	for	ADP
ejpam-744	54	14	1	1	NUM
ejpam-744	54	15	<	<	X
ejpam-744	54	16	µ	µ	X
ejpam-744	54	17	≤	≤	NUM
ejpam-744	54	18	4	4	NUM
ejpam-744	54	19	3	3	NUM
ejpam-744	54	20	,	,	PUNCT
ejpam-744	54	21	k	k	PROPN
ejpam-744	54	22	=	=	SYM
ejpam-744	54	23	0	0	PROPN
ejpam-744	54	24	,	,	PUNCT
ejpam-744	54	25	uralegaddi	uralegaddi	NOUN
ejpam-744	54	26	et	et	PROPN
ejpam-744	54	27	al	al	PROPN
ejpam-744	54	28	.	.	PUNCT
ejpam-744	55	1	[	[	X
ejpam-744	55	2	13	13	NUM
ejpam-744	55	3	,	,	PUNCT
ejpam-744	55	4	12	12	NUM
ejpam-744	55	5	]	]	PUNCT
ejpam-744	55	6	.	.	PUNCT
ejpam-744	56	1	(	(	PUNCT
ejpam-744	56	2	ii	ii	NOUN
ejpam-744	56	3	)	)	PUNCT
ejpam-744	56	4	for	for	ADP
ejpam-744	56	5	µ	µ	PROPN
ejpam-744	56	6	>	>	SYM
ejpam-744	56	7	1	1	NUM
ejpam-744	56	8	,	,	PUNCT
ejpam-744	56	9	k	k	NOUN
ejpam-744	56	10	=	=	SYM
ejpam-744	56	11	0	0	NUM
ejpam-744	56	12	,	,	PUNCT
ejpam-744	56	13	owa	owa	PROPN
ejpam-744	56	14	and	and	CCONJ
ejpam-744	56	15	srivastava	srivastava	PROPN
ejpam-744	57	1	[	[	X
ejpam-744	57	2	9	9	NUM
ejpam-744	57	3	]	]	PUNCT
ejpam-744	57	4	and	and	CCONJ
ejpam-744	57	5	owa	owa	PROPN
ejpam-744	57	6	and	and	CCONJ
ejpam-744	57	7	nishiwaki	nishiwaki	ADJ
ejpam-744	58	1	[	[	X
ejpam-744	58	2	10	10	NUM
ejpam-744	58	3	]	]	PUNCT
ejpam-744	58	4	.	.	PUNCT
ejpam-744	59	1	(	(	PUNCT
ejpam-744	59	2	iii	iii	NOUN
ejpam-744	59	3	)	)	PUNCT
ejpam-744	59	4	for	for	ADP
ejpam-744	59	5	µ	µ	X
ejpam-744	59	6	>	>	SYM
ejpam-744	59	7	1	1	NUM
ejpam-744	59	8	,	,	PUNCT
ejpam-744	59	9	α=	α=	NOUN
ejpam-744	59	10	1	1	NUM
ejpam-744	59	11	bulut	bulut	NOUN
ejpam-744	59	12	[	[	X
ejpam-744	59	13	2	2	NUM
ejpam-744	59	14	]	]	PUNCT
ejpam-744	59	15	.	.	PUNCT
ejpam-744	60	1	2	2	X
ejpam-744	60	2	.	.	X
ejpam-744	60	3	coefficient	coefficient	NOUN
ejpam-744	60	4	estimates	estimate	NOUN
ejpam-744	60	5	.	.	PUNCT
ejpam-744	61	1	in	in	ADP
ejpam-744	61	2	this	this	DET
ejpam-744	61	3	section	section	NOUN
ejpam-744	61	4	we	we	PRON
ejpam-744	61	5	derive	derive	VERB
ejpam-744	61	6	sufficient	sufficient	ADJ
ejpam-744	61	7	conditions	condition	NOUN
ejpam-744	61	8	for	for	ADP
ejpam-744	61	9	f	f	PROPN
ejpam-744	61	10	(	(	PUNCT
ejpam-744	61	11	z	z	NOUN
ejpam-744	61	12	)	)	PUNCT
ejpam-744	61	13	to	to	PART
ejpam-744	61	14	belongs	belong	VERB
ejpam-744	61	15	to	to	ADP
ejpam-744	61	16	the	the	DET
ejpam-744	61	17	classesm	classesm	PROPN
ejpam-744	61	18	k	k	PROPN
ejpam-744	61	19	α	α	PROPN
ejpam-744	61	20	,	,	PUNCT
ejpam-744	61	21	λ	λ	PROPN
ejpam-744	61	22	(	(	PUNCT
ejpam-744	61	23	µ	µ	NOUN
ejpam-744	61	24	)	)	PUNCT
ejpam-744	61	25	and	and	CCONJ
ejpam-744	61	26	n	n	PROPN
ejpam-744	61	27	k	k	PROPN
ejpam-744	61	28	α	α	PROPN
ejpam-744	61	29	,	,	PUNCT
ejpam-744	61	30	λ	λ	PROPN
ejpam-744	61	31	(	(	PUNCT
ejpam-744	61	32	µ	µ	NOUN
ejpam-744	61	33	)	)	PUNCT
ejpam-744	61	34	,	,	PUNCT
ejpam-744	61	35	which	which	PRON
ejpam-744	61	36	are	be	AUX
ejpam-744	61	37	obtained	obtain	VERB
ejpam-744	61	38	by	by	ADP
ejpam-744	61	39	using	use	VERB
ejpam-744	61	40	coefficient	coefficient	NOUN
ejpam-744	61	41	inequalities	inequality	NOUN
ejpam-744	61	42	.	.	PUNCT
ejpam-744	62	1	theorem	theorem	NOUN
ejpam-744	62	2	1	1	NUM
ejpam-744	62	3	.	.	PUNCT
ejpam-744	63	1	if	if	SCONJ
ejpam-744	63	2	f	f	PROPN
ejpam-744	63	3	(	(	PUNCT
ejpam-744	63	4	z	z	NOUN
ejpam-744	63	5	)	)	PUNCT
ejpam-744	63	6	∈a	∈a	ADJ
ejpam-744	63	7	satisfies	satisfy	VERB
ejpam-744	63	8	the	the	DET
ejpam-744	63	9	inequality	inequality	NOUN
ejpam-744	63	10	∞∑	∞∑	NUM
ejpam-744	63	11	n=2	n=2	X
ejpam-744	63	12	|[(n−	|[(n−	PROPN
ejpam-744	63	13	1)(λ−α	1)(λ−α	NUM
ejpam-744	63	14	)	)	PUNCT
ejpam-744	64	1	+	+	CCONJ
ejpam-744	64	2	n]k|	n]k|	ADJ
ejpam-744	64	3	n	n	X
ejpam-744	64	4	(	(	PUNCT
ejpam-744	64	5	n−	n−	NOUN
ejpam-744	64	6	κ	κ	NOUN
ejpam-744	64	7	)	)	PUNCT
ejpam-744	64	8	+	+	CCONJ
ejpam-744	64	9	|n+κ−	|n+κ−	PROPN
ejpam-744	64	10	2µ|	2µ|	NUM
ejpam-744	64	11	o	o	NOUN
ejpam-744	64	12	|an|	|an|	NOUN
ejpam-744	64	13	≤	≤	NOUN
ejpam-744	64	14	2(µ−	2(µ−	NUM
ejpam-744	64	15	1	1	NUM
ejpam-744	64	16	)	)	PUNCT
ejpam-744	64	17	(	(	PUNCT
ejpam-744	64	18	3	3	X
ejpam-744	64	19	)	)	PUNCT
ejpam-744	64	20	for	for	ADP
ejpam-744	64	21	some	some	DET
ejpam-744	64	22	0≤	0≤	NUM
ejpam-744	64	23	κ≤	κ≤	PROPN
ejpam-744	64	24	1	1	NUM
ejpam-744	64	25	and	and	CCONJ
ejpam-744	64	26	µ	µ	X
ejpam-744	64	27	>	>	X
ejpam-744	64	28	1	1	NUM
ejpam-744	64	29	,	,	PUNCT
ejpam-744	64	30	then	then	ADV
ejpam-744	64	31	f	f	PROPN
ejpam-744	64	32	∈m	∈m	PROPN
ejpam-744	64	33	k	k	PROPN
ejpam-744	64	34	α	α	PROPN
ejpam-744	64	35	,	,	PUNCT
ejpam-744	64	36	λ	λ	PROPN
ejpam-744	64	37	(	(	PUNCT
ejpam-744	64	38	µ	µ	NOUN
ejpam-744	64	39	)	)	PUNCT
ejpam-744	64	40	.	.	PUNCT
ejpam-744	65	1	proof	proof	NOUN
ejpam-744	65	2	.	.	PUNCT
ejpam-744	66	1	assume	assume	VERB
ejpam-744	66	2	that	that	SCONJ
ejpam-744	66	3	the	the	DET
ejpam-744	66	4	inequality	inequality	NOUN
ejpam-744	66	5	(	(	PUNCT
ejpam-744	66	6	3	3	X
ejpam-744	66	7	)	)	PUNCT
ejpam-744	66	8	holds	hold	VERB
ejpam-744	66	9	.	.	PUNCT
ejpam-744	67	1	it	it	PRON
ejpam-744	67	2	suffices	suffice	VERB
ejpam-744	67	3	to	to	PART
ejpam-744	67	4	show	show	VERB
ejpam-744	67	5	that	that	SCONJ
ejpam-744	67	6	�	�	PROPN
ejpam-744	67	7	�	�	PROPN
ejpam-744	67	8	�	�	PROPN
ejpam-744	67	9	z[dk	z[dk	PROPN
ejpam-744	67	10	α	α	PROPN
ejpam-744	67	11	,	,	PUNCT
ejpam-744	67	12	λ	λ	X
ejpam-744	67	13	f	f	X
ejpam-744	67	14	(	(	PUNCT
ejpam-744	67	15	z)]′	z)]′	NUM
ejpam-744	67	16	dk	dk	PROPN
ejpam-744	67	17	α	α	NOUN
ejpam-744	67	18	,	,	PUNCT
ejpam-744	67	19	λ	λ	X
ejpam-744	67	20	f	f	X
ejpam-744	67	21	(	(	PUNCT
ejpam-744	67	22	z	z	NOUN
ejpam-744	67	23	)	)	PUNCT
ejpam-744	67	24	−	−	PROPN
ejpam-744	67	25	κ	κ	PROPN
ejpam-744	67	26	z[dk	z[dk	PROPN
ejpam-744	67	27	α	α	PROPN
ejpam-744	67	28	,	,	PUNCT
ejpam-744	67	29	λ	λ	X
ejpam-744	67	30	f	f	X
ejpam-744	67	31	(	(	PUNCT
ejpam-744	67	32	z)]′	z)]′	NUM
ejpam-744	67	33	dk	dk	PROPN
ejpam-744	67	34	α	α	NOUN
ejpam-744	67	35	,	,	PUNCT
ejpam-744	67	36	λ	λ	X
ejpam-744	67	37	f	f	X
ejpam-744	67	38	(	(	PUNCT
ejpam-744	67	39	z	z	NOUN
ejpam-744	67	40	)	)	PUNCT
ejpam-744	67	41	−	−	PROPN
ejpam-744	68	1	(	(	PUNCT
ejpam-744	68	2	2µ−	2µ−	NUM
ejpam-744	68	3	κ	κ	NOUN
ejpam-744	68	4	)	)	PUNCT
ejpam-744	68	5	�	�	PROPN
ejpam-744	68	6	�	�	PROPN
ejpam-744	68	7	�	�	PROPN
ejpam-744	68	8	<	<	X
ejpam-744	68	9	1	1	NUM
ejpam-744	68	10	,	,	PUNCT
ejpam-744	68	11	(	(	PUNCT
ejpam-744	68	12	z	z	NOUN
ejpam-744	68	13	∈	∈	PROPN
ejpam-744	68	14	u	u	NOUN
ejpam-744	68	15	)	)	PUNCT
ejpam-744	68	16	.	.	PUNCT
ejpam-744	69	1	we	we	PRON
ejpam-744	69	2	observe	observe	VERB
ejpam-744	69	3	�	�	PROPN
ejpam-744	69	4	�	�	PROPN
ejpam-744	69	5	�	�	PROPN
ejpam-744	69	6	z[dk	z[dk	PROPN
ejpam-744	69	7	α	α	PROPN
ejpam-744	69	8	,	,	PUNCT
ejpam-744	69	9	λ	λ	X
ejpam-744	69	10	f	f	X
ejpam-744	69	11	(	(	PUNCT
ejpam-744	69	12	z)]′	z)]′	NUM
ejpam-744	69	13	dk	dk	PROPN
ejpam-744	69	14	α	α	NOUN
ejpam-744	69	15	,	,	PUNCT
ejpam-744	69	16	λ	λ	X
ejpam-744	69	17	f	f	X
ejpam-744	69	18	(	(	PUNCT
ejpam-744	69	19	z	z	NOUN
ejpam-744	69	20	)	)	PUNCT
ejpam-744	69	21	−	−	PROPN
ejpam-744	69	22	κ	κ	PROPN
ejpam-744	69	23	z[dk	z[dk	PROPN
ejpam-744	69	24	α	α	PROPN
ejpam-744	69	25	,	,	PUNCT
ejpam-744	69	26	λ	λ	X
ejpam-744	69	27	f	f	X
ejpam-744	69	28	(	(	PUNCT
ejpam-744	69	29	z)]′	z)]′	NUM
ejpam-744	69	30	dk	dk	PROPN
ejpam-744	69	31	α	α	NOUN
ejpam-744	69	32	,	,	PUNCT
ejpam-744	69	33	λ	λ	X
ejpam-744	69	34	f	f	X
ejpam-744	69	35	(	(	PUNCT
ejpam-744	69	36	z	z	NOUN
ejpam-744	69	37	)	)	PUNCT
ejpam-744	69	38	−	−	PROPN
ejpam-744	70	1	(	(	PUNCT
ejpam-744	70	2	2µ−	2µ−	NUM
ejpam-744	70	3	κ	κ	NOUN
ejpam-744	70	4	)	)	PUNCT
ejpam-744	70	5	�	�	PROPN
ejpam-744	70	6	�	�	PROPN
ejpam-744	70	7	�	�	PROPN
ejpam-744	70	8	=	=	SYM
ejpam-744	70	9	�	�	PROPN
ejpam-744	70	10	�	�	PROPN
ejpam-744	70	11	�	�	PROPN
ejpam-744	70	12	1−	1−	NUM
ejpam-744	70	13	κ+	κ+	PROPN
ejpam-744	70	14	∑∞	∑∞	VERB
ejpam-744	70	15	n=2(n−	n=2(n−	PROPN
ejpam-744	70	16	κ)[(n−	κ)[(n−	VERB
ejpam-744	70	17	1)(λ−α	1)(λ−α	NUM
ejpam-744	70	18	)	)	PUNCT
ejpam-744	71	1	+	+	CCONJ
ejpam-744	71	2	n]kanzn−1	n]kanzn−1	PROPN
ejpam-744	71	3	1	1	NUM
ejpam-744	71	4	+	+	NUM
ejpam-744	71	5	κ−	κ−	NOUN
ejpam-744	71	6	2µ+	2µ+	NUM
ejpam-744	71	7	∑∞	∑∞	NOUN
ejpam-744	71	8	n=2(n+	n=2(n+	PROPN
ejpam-744	71	9	κ−	κ−	PROPN
ejpam-744	71	10	2µ)[(n−	2µ)[(n−	NUM
ejpam-744	71	11	1)(λ−α	1)(λ−α	NUM
ejpam-744	71	12	)	)	PUNCT
ejpam-744	72	1	+	+	CCONJ
ejpam-744	72	2	n]kanzn−1	n]kanzn−1	PROPN
ejpam-744	72	3	�	�	PROPN
ejpam-744	72	4	�	�	PROPN
ejpam-744	72	5	�	�	PROPN
ejpam-744	72	6	≤	≤	PROPN
ejpam-744	72	7	1−	1−	NUM
ejpam-744	72	8	κ+	κ+	PROPN
ejpam-744	72	9	∑∞	∑∞	NOUN
ejpam-744	72	10	n=2(n−	n=2(n−	PROPN
ejpam-744	72	11	κ)|[(n−	κ)|[(n−	PROPN
ejpam-744	72	12	1)(λ−α	1)(λ−α	NUM
ejpam-744	72	13	)	)	PUNCT
ejpam-744	73	1	+	+	CCONJ
ejpam-744	73	2	n]k||an||z|	n]k||an||z|	VERB
ejpam-744	73	3	n−1	n−1	PROPN
ejpam-744	73	4	2µ−	2µ−	NUM
ejpam-744	73	5	1−	1−	NUM
ejpam-744	73	6	κ−	κ−	PROPN
ejpam-744	73	7	∑∞	∑∞	NOUN
ejpam-744	73	8	n=2	n=2	X
ejpam-744	73	9	|(n+	|(n+	ADV
ejpam-744	73	10	κ−	κ−	X
ejpam-744	73	11	2µ)||[(n−	2µ)||[(n−	NUM
ejpam-744	73	12	1)(λ−α	1)(λ−α	NUM
ejpam-744	73	13	)	)	PUNCT
ejpam-744	73	14	+	+	CCONJ
ejpam-744	73	15	n]k||an||z|n−1	n]k||an||z|n−1	X
ejpam-744	73	16	<	<	X
ejpam-744	73	17	1−	1−	NUM
ejpam-744	73	18	κ+	κ+	PROPN
ejpam-744	73	19	∑∞	∑∞	NOUN
ejpam-744	73	20	n=2(n−	n=2(n−	PROPN
ejpam-744	73	21	κ)|[(n−	κ)|[(n−	PROPN
ejpam-744	73	22	1)(λ−α	1)(λ−α	NUM
ejpam-744	73	23	)	)	PUNCT
ejpam-744	74	1	+	+	NUM
ejpam-744	74	2	n]k||an|	n]k||an|	X
ejpam-744	75	1	2µ−	2µ−	NUM
ejpam-744	75	2	1−	1−	NUM
ejpam-744	75	3	κ−	κ−	PROPN
ejpam-744	75	4	∑∞	∑∞	NOUN
ejpam-744	75	5	n=2	n=2	X
ejpam-744	75	6	|(n+	|(n+	ADV
ejpam-744	75	7	κ−	κ−	X
ejpam-744	75	8	2µ)||[(n−	2µ)||[(n−	NUM
ejpam-744	75	9	1)(λ−α	1)(λ−α	NUM
ejpam-744	75	10	)	)	PUNCT
ejpam-744	76	1	+	+	PROPN
ejpam-744	77	1	n]k||an|	n]k||an|	PROPN
ejpam-744	77	2	.	.	PUNCT
ejpam-744	77	3	m.	m.	NOUN
ejpam-744	77	4	darus	darus	PROPN
ejpam-744	77	5	,	,	PUNCT
ejpam-744	77	6	r.	r.	PROPN
ejpam-744	77	7	ibrahim	ibrahim	PROPN
ejpam-744	77	8	/	/	PUNCT
ejpam-744	77	9	eur	eur	PROPN
ejpam-744	77	10	.	.	PUNCT
ejpam-744	78	1	j.	j.	PROPN
ejpam-744	78	2	pure	pure	PROPN
ejpam-744	78	3	appl	appl	PROPN
ejpam-744	78	4	.	.	PROPN
ejpam-744	78	5	math	math	PROPN
ejpam-744	78	6	,	,	PUNCT
ejpam-744	78	7	4	4	NUM
ejpam-744	78	8	(	(	PUNCT
ejpam-744	78	9	2011	2011	NUM
ejpam-744	78	10	)	)	PUNCT
ejpam-744	78	11	,	,	PUNCT
ejpam-744	78	12	59	59	NUM
ejpam-744	78	13	-	-	SYM
ejpam-744	78	14	66	66	NUM
ejpam-744	78	15	62	62	NUM
ejpam-744	78	16	the	the	DET
ejpam-744	78	17	last	last	ADJ
ejpam-744	78	18	expression	expression	NOUN
ejpam-744	78	19	is	be	AUX
ejpam-744	78	20	bounded	bound	VERB
ejpam-744	78	21	above	above	ADV
ejpam-744	78	22	by	by	ADP
ejpam-744	78	23	1	1	NUM
ejpam-744	78	24	if	if	SCONJ
ejpam-744	78	25	1−κ+	1−κ+	PRON
ejpam-744	78	26	∞∑	∞∑	NUM
ejpam-744	78	27	n=2	n=2	PRON
ejpam-744	78	28	(	(	PUNCT
ejpam-744	78	29	n−κ)|[(n−1)(λ−α)+n]k||an|	n−κ)|[(n−1)(λ−α)+n]k||an|	NOUN
ejpam-744	78	30	<	<	X
ejpam-744	78	31	2µ−1−κ−	2µ−1−κ−	NUM
ejpam-744	78	32	∞∑	∞∑	NUM
ejpam-744	78	33	n=2	n=2	PRON
ejpam-744	78	34	|(n+κ−2µ)||[(n−1)(λ−α)+n]k||an|	|(n+κ−2µ)||[(n−1)(λ−α)+n]k||an|	NOUN
ejpam-744	78	35	which	which	PRON
ejpam-744	78	36	is	be	AUX
ejpam-744	78	37	equivalent	equivalent	ADJ
ejpam-744	78	38	to	to	ADP
ejpam-744	78	39	assertion	assertion	NOUN
ejpam-744	78	40	(	(	PUNCT
ejpam-744	78	41	3	3	NUM
ejpam-744	78	42	)	)	PUNCT
ejpam-744	78	43	,	,	PUNCT
ejpam-744	78	44	hence	hence	ADV
ejpam-744	78	45	the	the	DET
ejpam-744	78	46	proof	proof	NOUN
ejpam-744	78	47	.	.	PUNCT
ejpam-744	79	1	when	when	SCONJ
ejpam-744	79	2	k	k	PROPN
ejpam-744	79	3	=	=	SYM
ejpam-744	79	4	0	0	PROPN
ejpam-744	79	5	,	,	PUNCT
ejpam-744	79	6	the	the	DET
ejpam-744	79	7	next	next	ADJ
ejpam-744	79	8	result	result	NOUN
ejpam-744	79	9	can	can	AUX
ejpam-744	79	10	found	find	VERB
ejpam-744	79	11	in	in	ADP
ejpam-744	79	12	[	[	X
ejpam-744	79	13	10	10	NUM
ejpam-744	79	14	]	]	PUNCT
ejpam-744	79	15	.	.	PUNCT
ejpam-744	80	1	corollary	corollary	ADJ
ejpam-744	80	2	1	1	NUM
ejpam-744	80	3	.	.	PUNCT
ejpam-744	81	1	if	if	SCONJ
ejpam-744	81	2	f	f	PROPN
ejpam-744	81	3	(	(	PUNCT
ejpam-744	81	4	z	z	NOUN
ejpam-744	81	5	)	)	PUNCT
ejpam-744	81	6	∈a	∈a	ADJ
ejpam-744	81	7	satisfies	satisfy	VERB
ejpam-744	81	8	the	the	DET
ejpam-744	81	9	inequality	inequality	NOUN
ejpam-744	81	10	∞∑	∞∑	NUM
ejpam-744	81	11	n=2	n=2	PRON
ejpam-744	81	12	n	n	PROPN
ejpam-744	81	13	(	(	PUNCT
ejpam-744	81	14	n−	n−	NOUN
ejpam-744	81	15	κ	κ	NOUN
ejpam-744	81	16	)	)	PUNCT
ejpam-744	81	17	+	+	CCONJ
ejpam-744	82	1	|n+	|n+	PROPN
ejpam-744	82	2	κ−	κ−	PROPN
ejpam-744	82	3	2µ|	2µ|	NUM
ejpam-744	82	4	o	o	NOUN
ejpam-744	82	5	|an|	|an|	NOUN
ejpam-744	82	6	≤	≤	NUM
ejpam-744	82	7	2(µ−	2(µ−	NUM
ejpam-744	82	8	1	1	NUM
ejpam-744	82	9	)	)	PUNCT
ejpam-744	82	10	(	(	PUNCT
ejpam-744	82	11	4	4	X
ejpam-744	82	12	)	)	PUNCT
ejpam-744	82	13	for	for	ADP
ejpam-744	82	14	some	some	DET
ejpam-744	82	15	0≤	0≤	NUM
ejpam-744	82	16	κ≤	κ≤	PROPN
ejpam-744	82	17	1	1	NUM
ejpam-744	82	18	and	and	CCONJ
ejpam-744	82	19	µ	µ	X
ejpam-744	82	20	>	>	X
ejpam-744	82	21	1	1	NUM
ejpam-744	82	22	,	,	PUNCT
ejpam-744	82	23	then	then	ADV
ejpam-744	82	24	f	f	PROPN
ejpam-744	82	25	∈m	∈m	NOUN
ejpam-744	82	26	0	0	NUM
ejpam-744	82	27	α	α	NOUN
ejpam-744	82	28	,	,	PUNCT
ejpam-744	82	29	λ	λ	X
ejpam-744	82	30	(	(	PUNCT
ejpam-744	82	31	µ)≡m	µ)≡m	X
ejpam-744	82	32	(	(	PUNCT
ejpam-744	82	33	µ	µ	NOUN
ejpam-744	82	34	)	)	PUNCT
ejpam-744	82	35	.	.	PUNCT
ejpam-744	83	1	when	when	SCONJ
ejpam-744	83	2	κ	κ	X
ejpam-744	83	3	=	=	SYM
ejpam-744	83	4	1	1	NUM
ejpam-744	83	5	,	,	PUNCT
ejpam-744	83	6	we	we	PRON
ejpam-744	83	7	obtain	obtain	VERB
ejpam-744	83	8	the	the	DET
ejpam-744	83	9	next	next	ADJ
ejpam-744	83	10	result	result	NOUN
ejpam-744	83	11	corollary	corollary	NOUN
ejpam-744	83	12	2	2	NUM
ejpam-744	83	13	.	.	PUNCT
ejpam-744	84	1	if	if	SCONJ
ejpam-744	84	2	f	f	PROPN
ejpam-744	84	3	(	(	PUNCT
ejpam-744	84	4	z	z	NOUN
ejpam-744	84	5	)	)	PUNCT
ejpam-744	84	6	∈a	∈a	ADJ
ejpam-744	84	7	satisfies	satisfy	VERB
ejpam-744	84	8	the	the	DET
ejpam-744	84	9	inequality	inequality	NOUN
ejpam-744	84	10	∞∑	∞∑	NUM
ejpam-744	84	11	n=2	n=2	PRON
ejpam-744	84	12	(	(	PUNCT
ejpam-744	84	13	n−µ)|[(n−	n−µ)|[(n−	NOUN
ejpam-744	84	14	1)(λ−α	1)(λ−α	NUM
ejpam-744	84	15	)	)	PUNCT
ejpam-744	85	1	+	+	NUM
ejpam-744	85	2	n]k||an|	n]k||an|	SYM
ejpam-744	85	3	≤	≤	NOUN
ejpam-744	85	4	µ−	µ−	PROPN
ejpam-744	85	5	1	1	NUM
ejpam-744	85	6	(	(	PUNCT
ejpam-744	85	7	5	5	NUM
ejpam-744	85	8	)	)	PUNCT
ejpam-744	85	9	for	for	ADP
ejpam-744	85	10	1	1	NUM
ejpam-744	85	11	<	<	X
ejpam-744	85	12	µ	µ	X
ejpam-744	85	13	≤	≤	NUM
ejpam-744	85	14	3	3	NUM
ejpam-744	85	15	2	2	NUM
ejpam-744	85	16	,	,	PUNCT
ejpam-744	85	17	then	then	ADV
ejpam-744	85	18	f	f	PROPN
ejpam-744	85	19	∈m	∈m	PROPN
ejpam-744	85	20	k	k	PROPN
ejpam-744	85	21	α	α	PROPN
ejpam-744	85	22	,	,	PUNCT
ejpam-744	85	23	λ	λ	PROPN
ejpam-744	85	24	(	(	PUNCT
ejpam-744	85	25	µ	µ	NOUN
ejpam-744	85	26	)	)	PUNCT
ejpam-744	85	27	.	.	PUNCT
ejpam-744	86	1	when	when	SCONJ
ejpam-744	86	2	k	k	PROPN
ejpam-744	86	3	=	=	PUNCT
ejpam-744	86	4	0,κ=	0,κ=	PROPN
ejpam-744	86	5	1	1	NUM
ejpam-744	87	1	the	the	DET
ejpam-744	87	2	next	next	ADJ
ejpam-744	87	3	result	result	NOUN
ejpam-744	87	4	can	can	AUX
ejpam-744	87	5	found	find	VERB
ejpam-744	87	6	in	in	ADP
ejpam-744	87	7	[	[	X
ejpam-744	87	8	10	10	NUM
ejpam-744	87	9	]	]	PUNCT
ejpam-744	87	10	.	.	PUNCT
ejpam-744	88	1	corollary	corollary	ADJ
ejpam-744	88	2	3	3	X
ejpam-744	88	3	.	.	PUNCT
ejpam-744	89	1	if	if	SCONJ
ejpam-744	89	2	f	f	PROPN
ejpam-744	89	3	(	(	PUNCT
ejpam-744	89	4	z	z	NOUN
ejpam-744	89	5	)	)	PUNCT
ejpam-744	89	6	∈a	∈a	ADJ
ejpam-744	89	7	satisfies	satisfy	VERB
ejpam-744	89	8	the	the	DET
ejpam-744	89	9	inequality	inequality	NOUN
ejpam-744	89	10	∞∑	∞∑	NUM
ejpam-744	89	11	n=2	n=2	PRON
ejpam-744	89	12	(	(	PUNCT
ejpam-744	89	13	n−µ)|an|	n−µ)|an|	NOUN
ejpam-744	89	14	≤	≤	NOUN
ejpam-744	89	15	µ−	µ−	PROPN
ejpam-744	89	16	1	1	NUM
ejpam-744	89	17	(	(	PUNCT
ejpam-744	89	18	6	6	NUM
ejpam-744	89	19	)	)	PUNCT
ejpam-744	89	20	for	for	ADP
ejpam-744	89	21	1	1	NUM
ejpam-744	89	22	<	<	X
ejpam-744	89	23	µ	µ	X
ejpam-744	89	24	≤	≤	NUM
ejpam-744	89	25	3	3	NUM
ejpam-744	89	26	2	2	NUM
ejpam-744	89	27	,	,	PUNCT
ejpam-744	89	28	then	then	ADV
ejpam-744	89	29	f	f	PROPN
ejpam-744	89	30	∈m	∈m	NOUN
ejpam-744	89	31	(	(	PUNCT
ejpam-744	89	32	µ	µ	NOUN
ejpam-744	89	33	)	)	PUNCT
ejpam-744	89	34	.	.	PUNCT
ejpam-744	90	1	theorem	theorem	NOUN
ejpam-744	90	2	2	2	NUM
ejpam-744	90	3	.	.	PUNCT
ejpam-744	91	1	if	if	SCONJ
ejpam-744	91	2	f	f	PROPN
ejpam-744	91	3	(	(	PUNCT
ejpam-744	91	4	z	z	NOUN
ejpam-744	91	5	)	)	PUNCT
ejpam-744	91	6	∈a	∈a	ADJ
ejpam-744	91	7	satisfies	satisfy	VERB
ejpam-744	91	8	the	the	DET
ejpam-744	91	9	inequality	inequality	NOUN
ejpam-744	91	10	∞∑	∞∑	NUM
ejpam-744	91	11	n=2	n=2	PRON
ejpam-744	91	12	n|[(n−	n|[(n−	NOUN
ejpam-744	91	13	1)(λ−α	1)(λ−α	NUM
ejpam-744	91	14	)	)	PUNCT
ejpam-744	92	1	+	+	CCONJ
ejpam-744	92	2	n]k|	n]k|	ADJ
ejpam-744	92	3	n	n	PRON
ejpam-744	92	4	n−	n−	NOUN
ejpam-744	92	5	κ+	κ+	VERB
ejpam-744	92	6	1	1	NUM
ejpam-744	92	7	+	+	NUM
ejpam-744	92	8	|n+	|n+	PROPN
ejpam-744	92	9	κ−	κ−	PROPN
ejpam-744	92	10	2µ|	2µ|	NUM
ejpam-744	92	11	o	o	NOUN
ejpam-744	92	12	|an|	|an|	NOUN
ejpam-744	92	13	≤	≤	NUM
ejpam-744	92	14	2(µ−	2(µ−	NUM
ejpam-744	92	15	1	1	NUM
ejpam-744	92	16	)	)	PUNCT
ejpam-744	92	17	(	(	PUNCT
ejpam-744	92	18	7	7	X
ejpam-744	92	19	)	)	PUNCT
ejpam-744	92	20	for	for	ADP
ejpam-744	92	21	some	some	DET
ejpam-744	92	22	0≤	0≤	NUM
ejpam-744	92	23	κ≤	κ≤	PROPN
ejpam-744	92	24	1	1	NUM
ejpam-744	92	25	and	and	CCONJ
ejpam-744	92	26	µ	µ	X
ejpam-744	92	27	>	>	X
ejpam-744	92	28	1	1	NUM
ejpam-744	92	29	,	,	PUNCT
ejpam-744	92	30	then	then	ADV
ejpam-744	92	31	f	f	PROPN
ejpam-744	92	32	∈	∈	PROPN
ejpam-744	92	33	n	n	PROPN
ejpam-744	92	34	k	k	PROPN
ejpam-744	92	35	α	α	PROPN
ejpam-744	92	36	,	,	PUNCT
ejpam-744	92	37	λ	λ	PROPN
ejpam-744	92	38	(	(	PUNCT
ejpam-744	92	39	µ	µ	NOUN
ejpam-744	92	40	)	)	PUNCT
ejpam-744	92	41	.	.	PUNCT
ejpam-744	93	1	when	when	SCONJ
ejpam-744	93	2	k	k	PROPN
ejpam-744	93	3	=	=	SYM
ejpam-744	93	4	0	0	PROPN
ejpam-744	93	5	,	,	PUNCT
ejpam-744	93	6	the	the	DET
ejpam-744	93	7	next	next	ADJ
ejpam-744	93	8	result	result	NOUN
ejpam-744	93	9	can	can	AUX
ejpam-744	93	10	be	be	AUX
ejpam-744	93	11	found	find	VERB
ejpam-744	93	12	in	in	ADP
ejpam-744	93	13	[	[	X
ejpam-744	93	14	10	10	NUM
ejpam-744	93	15	]	]	PUNCT
ejpam-744	93	16	.	.	PUNCT
ejpam-744	94	1	corollary	corollary	ADJ
ejpam-744	94	2	4	4	NUM
ejpam-744	94	3	.	.	PUNCT
ejpam-744	95	1	if	if	SCONJ
ejpam-744	95	2	f	f	PROPN
ejpam-744	95	3	(	(	PUNCT
ejpam-744	95	4	z	z	NOUN
ejpam-744	95	5	)	)	PUNCT
ejpam-744	95	6	∈a	∈a	ADJ
ejpam-744	95	7	satisfies	satisfy	VERB
ejpam-744	95	8	the	the	DET
ejpam-744	95	9	inequality	inequality	NOUN
ejpam-744	95	10	∞∑	∞∑	NUM
ejpam-744	95	11	n=2	n=2	PRON
ejpam-744	95	12	n	n	CCONJ
ejpam-744	95	13	n	n	PRON
ejpam-744	95	14	n−	n−	PROPN
ejpam-744	95	15	κ+	κ+	VERB
ejpam-744	95	16	1	1	NUM
ejpam-744	95	17	+	+	NUM
ejpam-744	95	18	|n+	|n+	PROPN
ejpam-744	96	1	κ−	κ−	PROPN
ejpam-744	96	2	2µ|	2µ|	NUM
ejpam-744	96	3	o	o	NOUN
ejpam-744	96	4	|an|	|an|	NOUN
ejpam-744	96	5	≤	≤	NUM
ejpam-744	96	6	2(µ−	2(µ−	NUM
ejpam-744	96	7	1	1	NUM
ejpam-744	96	8	)	)	PUNCT
ejpam-744	96	9	(	(	PUNCT
ejpam-744	96	10	8)	8)	NUM
ejpam-744	96	11	for	for	ADP
ejpam-744	96	12	some	some	DET
ejpam-744	96	13	0≤	0≤	NUM
ejpam-744	96	14	κ≤	κ≤	PROPN
ejpam-744	96	15	1	1	NUM
ejpam-744	96	16	and	and	CCONJ
ejpam-744	96	17	µ	µ	X
ejpam-744	96	18	>	>	X
ejpam-744	96	19	1	1	NUM
ejpam-744	96	20	,	,	PUNCT
ejpam-744	96	21	then	then	ADV
ejpam-744	96	22	f	f	PROPN
ejpam-744	96	23	∈	∈	PROPN
ejpam-744	96	24	n	n	ADP
ejpam-744	96	25	0	0	NUM
ejpam-744	96	26	α	α	NOUN
ejpam-744	96	27	,	,	PUNCT
ejpam-744	96	28	λ	λ	PROPN
ejpam-744	96	29	(	(	PUNCT
ejpam-744	96	30	µ)≡n	µ)≡n	X
ejpam-744	96	31	(	(	PUNCT
ejpam-744	96	32	µ	µ	NOUN
ejpam-744	96	33	)	)	PUNCT
ejpam-744	96	34	.	.	PUNCT
ejpam-744	97	1	m.	m.	NOUN
ejpam-744	97	2	darus	darus	PROPN
ejpam-744	97	3	,	,	PUNCT
ejpam-744	97	4	r.	r.	PROPN
ejpam-744	97	5	ibrahim	ibrahim	PROPN
ejpam-744	97	6	/	/	PUNCT
ejpam-744	97	7	eur	eur	PROPN
ejpam-744	97	8	.	.	PUNCT
ejpam-744	98	1	j.	j.	PROPN
ejpam-744	98	2	pure	pure	PROPN
ejpam-744	98	3	appl	appl	PROPN
ejpam-744	98	4	.	.	PROPN
ejpam-744	98	5	math	math	PROPN
ejpam-744	98	6	,	,	PUNCT
ejpam-744	98	7	4	4	NUM
ejpam-744	98	8	(	(	PUNCT
ejpam-744	98	9	2011	2011	NUM
ejpam-744	98	10	)	)	PUNCT
ejpam-744	98	11	,	,	PUNCT
ejpam-744	98	12	59	59	NUM
ejpam-744	98	13	-	-	SYM
ejpam-744	98	14	66	66	NUM
ejpam-744	98	15	63	63	NUM
ejpam-744	98	16	3	3	NUM
ejpam-744	98	17	.	.	PUNCT
ejpam-744	98	18	integral	integral	ADJ
ejpam-744	98	19	operator	operator	NOUN
ejpam-744	98	20	.	.	PUNCT
ejpam-744	99	1	analogous	analogous	ADJ
ejpam-744	99	2	to	to	ADP
ejpam-744	99	3	the	the	DET
ejpam-744	99	4	generalized	generalize	VERB
ejpam-744	99	5	differential	differential	NOUN
ejpam-744	99	6	operator	operator	NOUN
ejpam-744	99	7	(	(	PUNCT
ejpam-744	99	8	2	2	NUM
ejpam-744	99	9	)	)	PUNCT
ejpam-744	99	10	,	,	PUNCT
ejpam-744	99	11	we	we	PRON
ejpam-744	99	12	define	define	VERB
ejpam-744	99	13	and	and	CCONJ
ejpam-744	99	14	study	study	VERB
ejpam-744	99	15	a	a	DET
ejpam-744	99	16	new	new	ADJ
ejpam-744	99	17	integral	integral	ADJ
ejpam-744	99	18	operator	operator	NOUN
ejpam-744	99	19	ik	ik	PROPN
ejpam-744	99	20	α	α	PROPN
ejpam-744	99	21	,	,	PUNCT
ejpam-744	99	22	λ	λ	X
ejpam-744	99	23	:	:	PUNCT
ejpam-744	99	24	a	a	DET
ejpam-744	99	25	→a	→a	PROPN
ejpam-744	99	26	as	as	SCONJ
ejpam-744	99	27	follows	follow	VERB
ejpam-744	99	28	.	.	PUNCT
ejpam-744	100	1	let	let	VERB
ejpam-744	100	2	φ(z	φ(z	PROPN
ejpam-744	100	3	)	)	PUNCT
ejpam-744	100	4	:	:	PUNCT
ejpam-744	101	1	=	=	SYM
ejpam-744	101	2	(	(	PUNCT
ejpam-744	101	3	λ−α)z	λ−α)z	PROPN
ejpam-744	101	4	(	(	PUNCT
ejpam-744	101	5	1−	1−	NUM
ejpam-744	101	6	z)2	z)2	NOUN
ejpam-744	101	7	−	−	PROPN
ejpam-744	101	8	(	(	PUNCT
ejpam-744	101	9	λ−α)z	λ−α)z	NOUN
ejpam-744	101	10	1−	1−	NUM
ejpam-744	101	11	z	z	NOUN
ejpam-744	102	1	+	+	X
ejpam-744	102	2	z	z	X
ejpam-744	102	3	(	(	PUNCT
ejpam-744	102	4	1−	1−	NUM
ejpam-744	102	5	z)2	z)2	NOUN
ejpam-744	102	6	and	and	CCONJ
ejpam-744	102	7	f(z	f(z	PROPN
ejpam-744	102	8	)	)	PUNCT
ejpam-744	102	9	=	=	SYM
ejpam-744	102	10	φ(z	φ(z	NOUN
ejpam-744	102	11	)	)	PUNCT
ejpam-744	102	12	∗	∗	NOUN
ejpam-744	102	13	.	.	PUNCT
ejpam-744	102	14	.	.	PUNCT
ejpam-744	102	15	.	.	PUNCT
ejpam-744	103	1	∗φ(z	∗φ(z	PROPN
ejpam-744	103	2	)	)	PUNCT
ejpam-744	104	1	︸	︸	X
ejpam-744	104	2	︷︷	︷︷	NOUN
ejpam-744	104	3	︸	︸	X
ejpam-744	104	4	k−t	k−t	VERB
ejpam-744	104	5	imes	ime	NOUN
ejpam-744	104	6	=	=	PUNCT
ejpam-744	104	7	z	z	NOUN
ejpam-744	104	8	+	+	NOUN
ejpam-744	104	9	∞∑	∞∑	NUM
ejpam-744	104	10	n=2	n=2	PRON
ejpam-744	104	11	[	[	X
ejpam-744	104	12	(	(	PUNCT
ejpam-744	104	13	n−	n−	NOUN
ejpam-744	104	14	1)(λ−α	1)(λ−α	NUM
ejpam-744	104	15	)	)	PUNCT
ejpam-744	104	16	+	+	CCONJ
ejpam-744	104	17	n]kzn	n]kzn	NOUN
ejpam-744	104	18	now	now	ADV
ejpam-744	104	19	we	we	PRON
ejpam-744	104	20	define	define	VERB
ejpam-744	104	21	the	the	DET
ejpam-744	104	22	integral	integral	ADJ
ejpam-744	104	23	operator	operator	NOUN
ejpam-744	104	24	ik	ik	PROPN
ejpam-744	104	25	α	α	PROPN
ejpam-744	104	26	,	,	PUNCT
ejpam-744	104	27	λ	λ	PROPN
ejpam-744	104	28	such	such	ADJ
ejpam-744	104	29	that	that	SCONJ
ejpam-744	104	30	ik	ik	PROPN
ejpam-744	104	31	α	α	PROPN
ejpam-744	104	32	,	,	PUNCT
ejpam-744	104	33	λ	λ	X
ejpam-744	104	34	:	:	PUNCT
ejpam-744	104	35	=	=	PUNCT
ejpam-744	105	1	[	[	X
ejpam-744	105	2	f(z)]−1	f(z)]−1	X
ejpam-744	105	3	∗	∗	X
ejpam-744	105	4	f	f	X
ejpam-744	105	5	(	(	PUNCT
ejpam-744	105	6	z	z	NOUN
ejpam-744	105	7	)	)	PUNCT
ejpam-744	105	8	,	,	PUNCT
ejpam-744	105	9	(	(	PUNCT
ejpam-744	105	10	z	z	NOUN
ejpam-744	105	11	∈	∈	PROPN
ejpam-744	105	12	u	u	NOUN
ejpam-744	105	13	)	)	PUNCT
ejpam-744	105	14	where	where	SCONJ
ejpam-744	105	15	f	f	PROPN
ejpam-744	105	16	∈a	∈a	NUM
ejpam-744	105	17	and	and	CCONJ
ejpam-744	105	18	f(z	f(z	PROPN
ejpam-744	105	19	)	)	PUNCT
ejpam-744	105	20	∗	∗	NOUN
ejpam-744	106	1	[	[	X
ejpam-744	106	2	f(z)]−1	f(z)]−1	X
ejpam-744	106	3	=	=	X
ejpam-744	106	4	z	z	NOUN
ejpam-744	106	5	1−	1−	NUM
ejpam-744	106	6	z	z	NOUN
ejpam-744	106	7	=	=	SYM
ejpam-744	107	1	z	z	NOUN
ejpam-744	107	2	+	+	NOUN
ejpam-744	107	3	∞∑	∞∑	NUM
ejpam-744	107	4	n=2	n=2	X
ejpam-744	107	5	zn	zn	NOUN
ejpam-744	107	6	,	,	PUNCT
ejpam-744	107	7	(	(	PUNCT
ejpam-744	107	8	z	z	NOUN
ejpam-744	107	9	∈	∈	PROPN
ejpam-744	107	10	u	u	NOUN
ejpam-744	107	11	)	)	PUNCT
ejpam-744	107	12	.	.	PUNCT
ejpam-744	107	13	implies	imply	VERB
ejpam-744	108	1	[	[	X
ejpam-744	108	2	f(z)]−1	f(z)]−1	X
ejpam-744	108	3	=	=	X
ejpam-744	108	4	z	z	NOUN
ejpam-744	108	5	+	+	NOUN
ejpam-744	109	1	∞∑	∞∑	NUM
ejpam-744	109	2	n=2	n=2	ADV
ejpam-744	109	3	1	1	NUM
ejpam-744	109	4	[	[	X
ejpam-744	109	5	(	(	PUNCT
ejpam-744	109	6	n−	n−	NOUN
ejpam-744	109	7	1)(λ−α	1)(λ−α	NUM
ejpam-744	109	8	)	)	PUNCT
ejpam-744	109	9	+	+	NUM
ejpam-744	109	10	n]k	n]k	X
ejpam-744	109	11	zn	zn	NUM
ejpam-744	109	12	,	,	PUNCT
ejpam-744	109	13	(	(	PUNCT
ejpam-744	109	14	z	z	NOUN
ejpam-744	109	15	∈	∈	PROPN
ejpam-744	109	16	u	u	NOUN
ejpam-744	109	17	)	)	PUNCT
ejpam-744	109	18	thus	thus	ADV
ejpam-744	109	19	we	we	PRON
ejpam-744	109	20	have	have	VERB
ejpam-744	109	21	ik	ik	PROPN
ejpam-744	109	22	α	α	PROPN
ejpam-744	109	23	,	,	PUNCT
ejpam-744	109	24	λ	λ	PROPN
ejpam-744	109	25	f	f	X
ejpam-744	109	26	(	(	PUNCT
ejpam-744	109	27	z	z	NOUN
ejpam-744	109	28	)	)	PUNCT
ejpam-744	109	29	=	=	SYM
ejpam-744	110	1	z	z	NOUN
ejpam-744	111	1	+	+	NOUN
ejpam-744	111	2	∞∑	∞∑	NUM
ejpam-744	111	3	n=2	n=2	PRON
ejpam-744	111	4	an	an	DET
ejpam-744	111	5	[	[	X
ejpam-744	111	6	(	(	PUNCT
ejpam-744	111	7	n−	n−	NOUN
ejpam-744	111	8	1)(λ−α	1)(λ−α	NUM
ejpam-744	111	9	)	)	PUNCT
ejpam-744	111	10	+	+	NUM
ejpam-744	111	11	n]k	n]k	X
ejpam-744	111	12	zn	zn	NUM
ejpam-744	111	13	,	,	PUNCT
ejpam-744	111	14	(	(	PUNCT
ejpam-744	111	15	z	z	NOUN
ejpam-744	111	16	∈	∈	PROPN
ejpam-744	111	17	u	u	NOUN
ejpam-744	111	18	)	)	PUNCT
ejpam-744	111	19	.	.	PUNCT
ejpam-744	112	1	(	(	PUNCT
ejpam-744	112	2	9	9	X
ejpam-744	112	3	)	)	PUNCT
ejpam-744	112	4	remark	remark	NOUN
ejpam-744	112	5	2	2	NUM
ejpam-744	112	6	.	.	PUNCT
ejpam-744	112	7	note	note	VERB
ejpam-744	112	8	that	that	SCONJ
ejpam-744	112	9	when	when	SCONJ
ejpam-744	112	10	α=	α=	PROPN
ejpam-744	112	11	λ	λ	PROPN
ejpam-744	112	12	,	,	PUNCT
ejpam-744	112	13	the	the	DET
ejpam-744	112	14	integral	integral	ADJ
ejpam-744	112	15	operator	operator	NOUN
ejpam-744	112	16	(	(	PUNCT
ejpam-744	112	17	9	9	NUM
ejpam-744	112	18	)	)	PUNCT
ejpam-744	112	19	reduces	reduce	VERB
ejpam-744	112	20	to	to	ADP
ejpam-744	112	21	the	the	DET
ejpam-744	112	22	integral	integral	ADJ
ejpam-744	112	23	operator	operator	NOUN
ejpam-744	112	24	ik	ik	PROPN
ejpam-744	112	25	α	α	PROPN
ejpam-744	112	26	,	,	PUNCT
ejpam-744	112	27	α	α	PROPN
ejpam-744	112	28	f	f	X
ejpam-744	112	29	(	(	PUNCT
ejpam-744	112	30	z	z	NOUN
ejpam-744	112	31	)	)	PUNCT
ejpam-744	112	32	=	=	SYM
ejpam-744	113	1	z	z	NOUN
ejpam-744	114	1	+	+	NOUN
ejpam-744	114	2	∞∑	∞∑	NUM
ejpam-744	114	3	n=2	n=2	PRON
ejpam-744	114	4	an	an	DET
ejpam-744	114	5	nk	nk	PROPN
ejpam-744	114	6	zn	zn	PROPN
ejpam-744	114	7	,	,	PUNCT
ejpam-744	114	8	(	(	PUNCT
ejpam-744	114	9	z	z	NOUN
ejpam-744	114	10	∈	∈	PROPN
ejpam-744	114	11	u	u	NOUN
ejpam-744	114	12	)	)	PUNCT
ejpam-744	114	13	,	,	PUNCT
ejpam-744	114	14	which	which	PRON
ejpam-744	114	15	defined	define	VERB
ejpam-744	114	16	and	and	CCONJ
ejpam-744	114	17	studied	study	VERB
ejpam-744	114	18	by	by	ADP
ejpam-744	114	19	sǎlǎgean	sǎlǎgean	PROPN
ejpam-744	114	20	[	[	X
ejpam-744	114	21	see	see	VERB
ejpam-744	114	22	11	11	NUM
ejpam-744	114	23	]	]	PUNCT
ejpam-744	114	24	.	.	PUNCT
ejpam-744	115	1	lemma	lemma	PROPN
ejpam-744	115	2	1	1	X
ejpam-744	115	3	.	.	PUNCT
ejpam-744	116	1	let	let	VERB
ejpam-744	116	2	f	f	PROPN
ejpam-744	116	3	∈a	∈a	PROPN
ejpam-744	116	4	.	.	PUNCT
ejpam-744	117	1	then	then	ADV
ejpam-744	117	2	(	(	PUNCT
ejpam-744	117	3	i	i	NOUN
ejpam-744	117	4	)	)	PUNCT
ejpam-744	117	5	i0	i0	PROPN
ejpam-744	117	6	α	α	PROPN
ejpam-744	117	7	,	,	PUNCT
ejpam-744	117	8	λ	λ	X
ejpam-744	117	9	f	f	X
ejpam-744	117	10	(	(	PUNCT
ejpam-744	117	11	z	z	NOUN
ejpam-744	117	12	)	)	PUNCT
ejpam-744	117	13	=	=	SYM
ejpam-744	117	14	f	f	X
ejpam-744	117	15	(	(	PUNCT
ejpam-744	117	16	z	z	NOUN
ejpam-744	117	17	)	)	PUNCT
ejpam-744	117	18	,	,	PUNCT
ejpam-744	117	19	(	(	PUNCT
ejpam-744	117	20	ii	ii	NOUN
ejpam-744	117	21	)	)	PUNCT
ejpam-744	117	22	i1	i1	PROPN
ejpam-744	118	1	α	α	PROPN
ejpam-744	118	2	,	,	PUNCT
ejpam-744	118	3	α	α	PROPN
ejpam-744	118	4	f	f	X
ejpam-744	118	5	(	(	PUNCT
ejpam-744	118	6	z	z	NOUN
ejpam-744	118	7	)	)	PUNCT
ejpam-744	118	8	=	=	SYM
ejpam-744	119	1	∫	∫	PROPN
ejpam-744	119	2	z	z	NOUN
ejpam-744	119	3	0	0	NUM
ejpam-744	120	1	f	f	PROPN
ejpam-744	120	2	(	(	PUNCT
ejpam-744	120	3	t	t	PROPN
ejpam-744	120	4	)	)	PUNCT
ejpam-744	120	5	t	t	NOUN
ejpam-744	121	1	d	d	X
ejpam-744	121	2	t.	t.	NOUN
ejpam-744	121	3	proof	proof	NOUN
ejpam-744	121	4	.	.	PUNCT
ejpam-744	122	1	m.	m.	NOUN
ejpam-744	122	2	darus	darus	PROPN
ejpam-744	122	3	,	,	PUNCT
ejpam-744	122	4	r.	r.	PROPN
ejpam-744	122	5	ibrahim	ibrahim	PROPN
ejpam-744	122	6	/	/	PUNCT
ejpam-744	122	7	eur	eur	PROPN
ejpam-744	122	8	.	.	PUNCT
ejpam-744	123	1	j.	j.	PROPN
ejpam-744	123	2	pure	pure	PROPN
ejpam-744	123	3	appl	appl	PROPN
ejpam-744	123	4	.	.	PROPN
ejpam-744	123	5	math	math	PROPN
ejpam-744	123	6	,	,	PUNCT
ejpam-744	123	7	4	4	NUM
ejpam-744	123	8	(	(	PUNCT
ejpam-744	123	9	2011	2011	NUM
ejpam-744	123	10	)	)	PUNCT
ejpam-744	123	11	,	,	PUNCT
ejpam-744	123	12	59	59	NUM
ejpam-744	123	13	-	-	SYM
ejpam-744	123	14	66	66	NUM
ejpam-744	123	15	64	64	NUM
ejpam-744	123	16	(	(	PUNCT
ejpam-744	123	17	i	i	NOUN
ejpam-744	123	18	)	)	PUNCT
ejpam-744	123	19	i0	i0	PROPN
ejpam-744	123	20	α	α	PROPN
ejpam-744	123	21	,	,	PUNCT
ejpam-744	123	22	λ	λ	X
ejpam-744	123	23	f	f	X
ejpam-744	124	1	(	(	PUNCT
ejpam-744	124	2	z	z	NOUN
ejpam-744	124	3	)	)	PUNCT
ejpam-744	124	4	=	=	SYM
ejpam-744	125	1	z	z	NOUN
ejpam-744	125	2	+	+	NOUN
ejpam-744	126	1	∞∑	∞∑	NUM
ejpam-744	126	2	n=2	n=2	CCONJ
ejpam-744	126	3	anzn	anzn	NOUN
ejpam-744	126	4	=	=	SYM
ejpam-744	126	5	f	f	X
ejpam-744	126	6	(	(	PUNCT
ejpam-744	126	7	z	z	NOUN
ejpam-744	126	8	)	)	PUNCT
ejpam-744	126	9	,	,	PUNCT
ejpam-744	126	10	(	(	PUNCT
ejpam-744	126	11	ii	ii	NOUN
ejpam-744	126	12	)	)	PUNCT
ejpam-744	126	13	∫	∫	PROPN
ejpam-744	127	1	z	z	PROPN
ejpam-744	127	2	0	0	NUM
ejpam-744	128	1	f	f	PROPN
ejpam-744	128	2	(	(	PUNCT
ejpam-744	128	3	t	t	PROPN
ejpam-744	128	4	)	)	PUNCT
ejpam-744	128	5	t	t	PROPN
ejpam-744	128	6	d	d	X
ejpam-744	128	7	t	t	PROPN
ejpam-744	128	8	=	=	SYM
ejpam-744	128	9	∫	∫	PROPN
ejpam-744	128	10	z	z	NOUN
ejpam-744	128	11	0	0	PUNCT
ejpam-744	129	1	[	[	X
ejpam-744	129	2	1	1	NUM
ejpam-744	129	3	+	+	NUM
ejpam-744	129	4	∞∑	∞∑	NUM
ejpam-744	129	5	n=2	n=2	NUM
ejpam-744	129	6	antn−1]d	antn−1]d	PROPN
ejpam-744	129	7	t	t	NOUN
ejpam-744	129	8	=	=	SYM
ejpam-744	129	9	z	z	NOUN
ejpam-744	130	1	+	+	NOUN
ejpam-744	130	2	∞∑	∞∑	NUM
ejpam-744	130	3	n=2	n=2	PRON
ejpam-744	130	4	an	an	DET
ejpam-744	130	5	n	n	NOUN
ejpam-744	130	6	zn	zn	PROPN
ejpam-744	130	7	=	=	SYM
ejpam-744	130	8	i1	i1	PROPN
ejpam-744	130	9	α	α	PROPN
ejpam-744	130	10	,	,	PUNCT
ejpam-744	130	11	α	α	PROPN
ejpam-744	130	12	f	f	X
ejpam-744	130	13	(	(	PUNCT
ejpam-744	130	14	z	z	NOUN
ejpam-744	130	15	)	)	PUNCT
ejpam-744	130	16	.	.	PUNCT
ejpam-744	131	1	define	define	VERB
ejpam-744	131	2	the	the	DET
ejpam-744	131	3	subclasses	subclass	NOUN
ejpam-744	131	4	involving	involve	VERB
ejpam-744	131	5	the	the	DET
ejpam-744	131	6	generalized	generalized	ADJ
ejpam-744	131	7	integral	integral	ADJ
ejpam-744	131	8	operator	operator	NOUN
ejpam-744	131	9	(	(	PUNCT
ejpam-744	131	10	9	9	NUM
ejpam-744	131	11	)	)	PUNCT
ejpam-744	131	12	.	.	PUNCT
ejpam-744	132	1	let	let	VERB
ejpam-744	132	2	s	s	PRON
ejpam-744	132	3	k	k	PROPN
ejpam-744	132	4	α	α	PROPN
ejpam-744	132	5	,	,	PUNCT
ejpam-744	132	6	β	β	X
ejpam-744	132	7	,	,	PUNCT
ejpam-744	132	8	λ	λ	X
ejpam-744	132	9	(	(	PUNCT
ejpam-744	132	10	µ	µ	NOUN
ejpam-744	132	11	)	)	PUNCT
ejpam-744	132	12	be	be	AUX
ejpam-744	132	13	the	the	DET
ejpam-744	132	14	subclass	subclass	NOUN
ejpam-744	132	15	of	of	ADP
ejpam-744	132	16	the	the	DET
ejpam-744	132	17	classa	classa	NOUN
ejpam-744	132	18	consisting	consist	VERB
ejpam-744	132	19	of	of	ADP
ejpam-744	132	20	functions	function	NOUN
ejpam-744	133	1	f	f	X
ejpam-744	133	2	(	(	PUNCT
ejpam-744	133	3	z	z	NOUN
ejpam-744	133	4	)	)	PUNCT
ejpam-744	133	5	which	which	PRON
ejpam-744	133	6	satisfy	satisfy	VERB
ejpam-744	133	7	the	the	DET
ejpam-744	133	8	inequality	inequality	NOUN
ejpam-744	133	9	ℜ	ℜ	PROPN
ejpam-744	133	10	{	{	PUNCT
ejpam-744	133	11	z[ik	z[ik	PROPN
ejpam-744	133	12	α	α	NOUN
ejpam-744	133	13	,	,	PUNCT
ejpam-744	133	14	λ	λ	X
ejpam-744	133	15	f	f	X
ejpam-744	133	16	(	(	PUNCT
ejpam-744	133	17	z)]′	z)]′	NUM
ejpam-744	133	18	ik	ik	PROPN
ejpam-744	133	19	α	α	PROPN
ejpam-744	133	20	,	,	PUNCT
ejpam-744	133	21	λ	λ	PROPN
ejpam-744	133	22	f	f	X
ejpam-744	133	23	(	(	PUNCT
ejpam-744	133	24	z	z	NOUN
ejpam-744	133	25	)	)	PUNCT
ejpam-744	133	26	}	}	PUNCT
ejpam-744	133	27	<	<	X
ejpam-744	133	28	µ	µ	X
ejpam-744	133	29	,	,	PUNCT
ejpam-744	133	30	(	(	PUNCT
ejpam-744	133	31	z	z	NOUN
ejpam-744	133	32	∈	∈	PROPN
ejpam-744	133	33	u	u	NOUN
ejpam-744	133	34	)	)	PUNCT
ejpam-744	133	35	for	for	ADP
ejpam-744	133	36	some	some	DET
ejpam-744	133	37	µ(µ	µ(µ	PROPN
ejpam-744	133	38	>	>	X
ejpam-744	133	39	1	1	NUM
ejpam-744	133	40	)	)	PUNCT
ejpam-744	133	41	.	.	PUNCT
ejpam-744	134	1	it	it	PRON
ejpam-744	134	2	is	be	AUX
ejpam-744	134	3	clear	clear	ADJ
ejpam-744	134	4	that	that	SCONJ
ejpam-744	134	5	s	s	VERB
ejpam-744	134	6	0	0	NUM
ejpam-744	134	7	α	α	NOUN
ejpam-744	134	8	,	,	PUNCT
ejpam-744	134	9	λ	λ	X
ejpam-744	134	10	(	(	PUNCT
ejpam-744	134	11	µ)≡m	µ)≡m	X
ejpam-744	134	12	(	(	PUNCT
ejpam-744	134	13	µ	µ	NOUN
ejpam-744	134	14	)	)	PUNCT
ejpam-744	134	15	.	.	PUNCT
ejpam-744	135	1	and	and	CCONJ
ejpam-744	135	2	letk	letk	VERB
ejpam-744	135	3	k	k	PROPN
ejpam-744	135	4	α	α	PROPN
ejpam-744	135	5	,	,	PUNCT
ejpam-744	135	6	β	β	X
ejpam-744	135	7	,	,	PUNCT
ejpam-744	135	8	λ	λ	X
ejpam-744	135	9	(	(	PUNCT
ejpam-744	135	10	µ	µ	NOUN
ejpam-744	135	11	)	)	PUNCT
ejpam-744	135	12	be	be	AUX
ejpam-744	135	13	the	the	DET
ejpam-744	135	14	subclass	subclass	NOUN
ejpam-744	135	15	of	of	ADP
ejpam-744	135	16	the	the	DET
ejpam-744	135	17	classa	classa	NOUN
ejpam-744	135	18	consisting	consist	VERB
ejpam-744	135	19	of	of	ADP
ejpam-744	135	20	functions	function	NOUN
ejpam-744	136	1	f	f	X
ejpam-744	136	2	(	(	PUNCT
ejpam-744	136	3	z	z	NOUN
ejpam-744	136	4	)	)	PUNCT
ejpam-744	136	5	which	which	PRON
ejpam-744	136	6	satisfy	satisfy	VERB
ejpam-744	136	7	the	the	DET
ejpam-744	136	8	inequality	inequality	NOUN
ejpam-744	136	9	ℜ	ℜ	PROPN
ejpam-744	136	10	{	{	PUNCT
ejpam-744	136	11	z[ik	z[ik	PROPN
ejpam-744	136	12	α	α	NOUN
ejpam-744	136	13	,	,	PUNCT
ejpam-744	136	14	λ	λ	X
ejpam-744	136	15	f	f	X
ejpam-744	136	16	(	(	PUNCT
ejpam-744	136	17	z)]′′	z)]′′	PROPN
ejpam-744	136	18	[	[	X
ejpam-744	136	19	ik	ik	PROPN
ejpam-744	136	20	α	α	PROPN
ejpam-744	136	21	,	,	PUNCT
ejpam-744	136	22	λ	λ	X
ejpam-744	136	23	f	f	X
ejpam-744	136	24	(	(	PUNCT
ejpam-744	136	25	z)]′	z)]′	NUM
ejpam-744	136	26	}	}	PUNCT
ejpam-744	136	27	<	<	X
ejpam-744	136	28	µ	µ	NUM
ejpam-744	136	29	,	,	PUNCT
ejpam-744	136	30	(	(	PUNCT
ejpam-744	136	31	z	z	NOUN
ejpam-744	136	32	∈	∈	PROPN
ejpam-744	136	33	u	u	NOUN
ejpam-744	136	34	)	)	PUNCT
ejpam-744	136	35	for	for	ADP
ejpam-744	136	36	some	some	DET
ejpam-744	136	37	µ(µ	µ(µ	PROPN
ejpam-744	136	38	>	>	X
ejpam-744	136	39	1	1	NUM
ejpam-744	136	40	)	)	PUNCT
ejpam-744	136	41	.	.	PUNCT
ejpam-744	137	1	then	then	ADV
ejpam-744	137	2	f	f	PROPN
ejpam-744	137	3	∈k	∈k	PROPN
ejpam-744	137	4	k	k	PROPN
ejpam-744	137	5	α	α	PROPN
ejpam-744	137	6	,	,	PUNCT
ejpam-744	137	7	λ	λ	PROPN
ejpam-744	137	8	(	(	PUNCT
ejpam-744	137	9	µ	µ	NOUN
ejpam-744	137	10	)	)	PUNCT
ejpam-744	137	11	if	if	SCONJ
ejpam-744	137	12	and	and	CCONJ
ejpam-744	137	13	only	only	ADV
ejpam-744	137	14	if	if	SCONJ
ejpam-744	137	15	z	z	NOUN
ejpam-744	137	16	f	f	NOUN
ejpam-744	138	1	′	′	NUM
ejpam-744	138	2	∈	∈	PROPN
ejpam-744	138	3	s	s	PART
ejpam-744	138	4	k	k	NOUN
ejpam-744	138	5	α	α	PROPN
ejpam-744	138	6	,	,	PUNCT
ejpam-744	138	7	λ	λ	PROPN
ejpam-744	138	8	(	(	PUNCT
ejpam-744	138	9	µ)(µ	µ)(µ	NOUN
ejpam-744	138	10	)	)	PUNCT
ejpam-744	138	11	.	.	PUNCT
ejpam-744	139	1	also	also	ADV
ejpam-744	139	2	we	we	PRON
ejpam-744	139	3	have	have	VERB
ejpam-744	139	4	k	k	PROPN
ejpam-744	139	5	0	0	NUM
ejpam-744	139	6	α	α	NOUN
ejpam-744	139	7	,	,	PUNCT
ejpam-744	139	8	λ	λ	PROPN
ejpam-744	139	9	(	(	PUNCT
ejpam-744	139	10	µ)≡n	µ)≡n	X
ejpam-744	139	11	(	(	PUNCT
ejpam-744	139	12	µ	µ	NOUN
ejpam-744	139	13	)	)	PUNCT
ejpam-744	139	14	.	.	PUNCT
ejpam-744	140	1	in	in	ADP
ejpam-744	140	2	the	the	DET
ejpam-744	140	3	same	same	ADJ
ejpam-744	140	4	manner	manner	NOUN
ejpam-744	140	5	of	of	ADP
ejpam-744	140	6	theorem	theorem	ADJ
ejpam-744	140	7	1	1	NUM
ejpam-744	140	8	and	and	CCONJ
ejpam-744	140	9	theorem	theorem	VERB
ejpam-744	140	10	2	2	NUM
ejpam-744	140	11	,	,	PUNCT
ejpam-744	140	12	we	we	PRON
ejpam-744	140	13	have	have	VERB
ejpam-744	140	14	the	the	DET
ejpam-744	140	15	following	follow	VERB
ejpam-744	140	16	results	result	NOUN
ejpam-744	140	17	.	.	PUNCT
ejpam-744	141	1	theorem	theorem	NOUN
ejpam-744	141	2	3	3	NUM
ejpam-744	141	3	.	.	PUNCT
ejpam-744	142	1	if	if	SCONJ
ejpam-744	142	2	f	f	PROPN
ejpam-744	142	3	(	(	PUNCT
ejpam-744	142	4	z	z	NOUN
ejpam-744	142	5	)	)	PUNCT
ejpam-744	142	6	∈a	∈a	ADJ
ejpam-744	142	7	satisfies	satisfy	VERB
ejpam-744	142	8	the	the	DET
ejpam-744	142	9	inequality	inequality	NOUN
ejpam-744	142	10	∞∑	∞∑	NUM
ejpam-744	142	11	n=2	n=2	PRON
ejpam-744	142	12	n	n	PROPN
ejpam-744	142	13	(	(	PUNCT
ejpam-744	142	14	n−	n−	NOUN
ejpam-744	142	15	κ	κ	NOUN
ejpam-744	142	16	)	)	PUNCT
ejpam-744	142	17	+	+	CCONJ
ejpam-744	143	1	|n+	|n+	PROPN
ejpam-744	143	2	κ−	κ−	NOUN
ejpam-744	143	3	2µ|	2µ|	NUM
ejpam-744	143	4	o	o	NOUN
ejpam-744	143	5	|[(n−	|[(n−	PROPN
ejpam-744	143	6	1)(λ−α	1)(λ−α	NUM
ejpam-744	143	7	)	)	PUNCT
ejpam-744	144	1	+	+	CCONJ
ejpam-744	144	2	n]k|	n]k|	ADJ
ejpam-744	144	3	|an|	|an|	NOUN
ejpam-744	144	4	≤	≤	NOUN
ejpam-744	144	5	2(µ−	2(µ−	NUM
ejpam-744	144	6	1	1	NUM
ejpam-744	144	7	)	)	PUNCT
ejpam-744	144	8	(	(	PUNCT
ejpam-744	144	9	10	10	NUM
ejpam-744	144	10	)	)	PUNCT
ejpam-744	144	11	for	for	ADP
ejpam-744	144	12	some	some	DET
ejpam-744	144	13	0≤	0≤	NUM
ejpam-744	144	14	κ≤	κ≤	PROPN
ejpam-744	144	15	1	1	NUM
ejpam-744	144	16	and	and	CCONJ
ejpam-744	144	17	µ	µ	X
ejpam-744	144	18	>	>	X
ejpam-744	144	19	1	1	NUM
ejpam-744	144	20	,	,	PUNCT
ejpam-744	144	21	then	then	ADV
ejpam-744	144	22	f	f	PROPN
ejpam-744	144	23	∈	∈	PROPN
ejpam-744	144	24	s	s	PART
ejpam-744	144	25	k	k	X
ejpam-744	144	26	α	α	PROPN
ejpam-744	144	27	,	,	PUNCT
ejpam-744	144	28	λ	λ	PROPN
ejpam-744	144	29	(	(	PUNCT
ejpam-744	144	30	µ	µ	NOUN
ejpam-744	144	31	)	)	PUNCT
ejpam-744	144	32	.	.	PUNCT
ejpam-744	145	1	theorem	theorem	ADJ
ejpam-744	145	2	4	4	NUM
ejpam-744	145	3	.	.	PUNCT
ejpam-744	146	1	if	if	SCONJ
ejpam-744	146	2	f	f	PROPN
ejpam-744	146	3	(	(	PUNCT
ejpam-744	146	4	z	z	NOUN
ejpam-744	146	5	)	)	PUNCT
ejpam-744	146	6	∈a	∈a	ADJ
ejpam-744	146	7	satisfies	satisfy	VERB
ejpam-744	146	8	the	the	DET
ejpam-744	146	9	inequality	inequality	NOUN
ejpam-744	146	10	∞∑	∞∑	NUM
ejpam-744	146	11	n=2	n=2	PRON
ejpam-744	146	12	n	n	CCONJ
ejpam-744	146	13	n	n	PRON
ejpam-744	146	14	n−	n−	PROPN
ejpam-744	146	15	κ+	κ+	VERB
ejpam-744	146	16	1	1	NUM
ejpam-744	146	17	+	+	NUM
ejpam-744	146	18	|n+	|n+	PROPN
ejpam-744	146	19	κ−	κ−	PROPN
ejpam-744	147	1	2µ|	2µ|	NUM
ejpam-744	147	2	o	o	NOUN
ejpam-744	147	3	|[(n−	|[(n−	PROPN
ejpam-744	147	4	1)(λ−α	1)(λ−α	NUM
ejpam-744	147	5	)	)	PUNCT
ejpam-744	148	1	+	+	CCONJ
ejpam-744	148	2	n]k|	n]k|	ADJ
ejpam-744	148	3	|an|	|an|	NOUN
ejpam-744	148	4	≤	≤	NOUN
ejpam-744	148	5	2(µ−	2(µ−	NUM
ejpam-744	148	6	1	1	NUM
ejpam-744	148	7	)	)	PUNCT
ejpam-744	148	8	(	(	PUNCT
ejpam-744	148	9	11	11	NUM
ejpam-744	148	10	)	)	PUNCT
ejpam-744	148	11	for	for	ADP
ejpam-744	148	12	some	some	DET
ejpam-744	148	13	0≤	0≤	NUM
ejpam-744	148	14	κ≤	κ≤	PROPN
ejpam-744	148	15	1	1	NUM
ejpam-744	148	16	and	and	CCONJ
ejpam-744	148	17	µ	µ	X
ejpam-744	148	18	>	>	X
ejpam-744	148	19	1	1	NUM
ejpam-744	148	20	,	,	PUNCT
ejpam-744	148	21	then	then	ADV
ejpam-744	148	22	f	f	PROPN
ejpam-744	148	23	∈k	∈k	PROPN
ejpam-744	148	24	k	k	PROPN
ejpam-744	148	25	α	α	PROPN
ejpam-744	148	26	,	,	PUNCT
ejpam-744	148	27	λ	λ	PROPN
ejpam-744	148	28	(	(	PUNCT
ejpam-744	148	29	µ	µ	NOUN
ejpam-744	148	30	)	)	PUNCT
ejpam-744	148	31	.	.	PUNCT
ejpam-744	149	1	references	reference	NOUN
ejpam-744	149	2	65	65	NUM
ejpam-744	149	3	4	4	NUM
ejpam-744	149	4	.	.	PUNCT
ejpam-744	150	1	conclusion	conclusion	NOUN
ejpam-744	150	2	.	.	PUNCT
ejpam-744	151	1	this	this	DET
ejpam-744	151	2	work	work	NOUN
ejpam-744	151	3	is	be	AUX
ejpam-744	151	4	a	a	DET
ejpam-744	151	5	generalization	generalization	NOUN
ejpam-744	151	6	for	for	ADP
ejpam-744	151	7	well	well	ADV
ejpam-744	151	8	known	know	VERB
ejpam-744	151	9	differential	differential	NOUN
ejpam-744	151	10	and	and	CCONJ
ejpam-744	151	11	integral	integral	ADJ
ejpam-744	151	12	operators	operator	NOUN
ejpam-744	151	13	of	of	ADP
ejpam-744	151	14	univalent	univalent	ADJ
ejpam-744	151	15	functions	function	NOUN
ejpam-744	151	16	.	.	PUNCT
ejpam-744	152	1	moreover	moreover	ADV
ejpam-744	152	2	,	,	PUNCT
ejpam-744	152	3	the	the	DET
ejpam-744	152	4	classes	class	NOUN
ejpam-744	152	5	which	which	PRON
ejpam-744	152	6	are	be	AUX
ejpam-744	152	7	studied	study	VERB
ejpam-744	152	8	here	here	ADV
ejpam-744	152	9	also	also	ADV
ejpam-744	152	10	generalized	generalize	VERB
ejpam-744	152	11	the	the	DET
ejpam-744	152	12	ones	one	NOUN
ejpam-744	152	13	studied	study	VERB
ejpam-744	152	14	by	by	ADP
ejpam-744	152	15	different	different	ADJ
ejpam-744	152	16	authors	author	NOUN
ejpam-744	152	17	m	m	VERB
ejpam-744	152	18	0	0	NUM
ejpam-744	152	19	α	α	NOUN
ejpam-744	152	20	,	,	PUNCT
ejpam-744	152	21	λ(µ)≡	λ(µ)≡	PROPN
ejpam-744	152	22	s	s	PART
ejpam-744	152	23	0	0	NUM
ejpam-744	152	24	α	α	NOUN
ejpam-744	152	25	,	,	PUNCT
ejpam-744	152	26	λ(µ)≡m	λ(µ)≡m	PROPN
ejpam-744	152	27	(	(	PUNCT
ejpam-744	152	28	µ	µ	NOUN
ejpam-744	152	29	)	)	PUNCT
ejpam-744	152	30	and	and	CCONJ
ejpam-744	152	31	n	n	PRON
ejpam-744	152	32	0	0	NUM
ejpam-744	152	33	α	α	NOUN
ejpam-744	152	34	,	,	PUNCT
ejpam-744	152	35	λ(µ)≡k	λ(µ)≡k	PROPN
ejpam-744	152	36	0	0	NUM
ejpam-744	152	37	α	α	NOUN
ejpam-744	152	38	,	,	PUNCT
ejpam-744	152	39	λ(µ)≡n	λ(µ)≡n	PROPN
ejpam-744	152	40	(	(	PUNCT
ejpam-744	152	41	µ	µ	NOUN
ejpam-744	152	42	)	)	PUNCT
ejpam-744	152	43	.	.	PUNCT
ejpam-744	153	1	in	in	ADP
ejpam-744	153	2	fact	fact	NOUN
ejpam-744	153	3	,	,	PUNCT
ejpam-744	153	4	many	many	ADJ
ejpam-744	153	5	other	other	ADJ
ejpam-744	153	6	operators	operator	NOUN
ejpam-744	153	7	can	can	AUX
ejpam-744	153	8	be	be	AUX
ejpam-744	153	9	seen	see	VERB
ejpam-744	153	10	in	in	ADP
ejpam-744	153	11	[	[	X
ejpam-744	153	12	1,3	1,3	NUM
ejpam-744	153	13	-	-	PUNCT
ejpam-744	153	14	8,14	8,14	NUM
ejpam-744	153	15	]	]	PUNCT
ejpam-744	153	16	for	for	ADP
ejpam-744	153	17	different	different	ADJ
ejpam-744	153	18	problems	problem	NOUN
ejpam-744	153	19	.	.	PUNCT
ejpam-744	154	1	acknowledgements	acknowledgement	NOUN
ejpam-744	154	2	the	the	DET
ejpam-744	154	3	work	work	NOUN
ejpam-744	154	4	presented	present	VERB
ejpam-744	154	5	here	here	ADV
ejpam-744	154	6	was	be	AUX
ejpam-744	154	7	supported	support	VERB
ejpam-744	154	8	by	by	ADP
ejpam-744	154	9	ukm	ukm	PROPN
ejpam-744	154	10	-	-	PUNCT
ejpam-744	154	11	st-06	st-06	NOUN
ejpam-744	154	12	-	-	PUNCT
ejpam-744	154	13	frgs01072009	frgs01072009	NOUN
ejpam-744	154	14	.	.	PUNCT
ejpam-744	155	1	references	reference	NOUN
ejpam-744	155	2	[	[	X
ejpam-744	155	3	1	1	X
ejpam-744	155	4	]	]	X
ejpam-744	155	5	m.h	m.h	PROPN
ejpam-744	155	6	.	.	PROPN
ejpam-744	155	7	al	al	PROPN
ejpam-744	155	8	-	-	PUNCT
ejpam-744	155	9	abbadi	abbadi	NOUN
ejpam-744	155	10	and	and	CCONJ
ejpam-744	155	11	m.	m.	NOUN
ejpam-744	155	12	darus	darus	NOUN
ejpam-744	155	13	,	,	PUNCT
ejpam-744	155	14	differential	differential	ADJ
ejpam-744	155	15	subordination	subordination	NOUN
ejpam-744	155	16	defined	define	VERB
ejpam-744	155	17	by	by	ADP
ejpam-744	155	18	new	new	ADJ
ejpam-744	155	19	generalised	generalise	VERB
ejpam-744	155	20	derivative	derivative	ADJ
ejpam-744	155	21	operator	operator	NOUN
ejpam-744	155	22	for	for	ADP
ejpam-744	155	23	analytic	analytic	ADJ
ejpam-744	155	24	functions	function	NOUN
ejpam-744	155	25	,	,	PUNCT
ejpam-744	155	26	international	international	ADJ
ejpam-744	155	27	journal	journal	NOUN
ejpam-744	155	28	of	of	ADP
ejpam-744	155	29	mathematics	mathematics	PROPN
ejpam-744	155	30	and	and	CCONJ
ejpam-744	155	31	mathematical	mathematical	ADJ
ejpam-744	155	32	sciences	science	NOUN
ejpam-744	155	33	,	,	PUNCT
ejpam-744	155	34	article	article	NOUN
ejpam-744	155	35	i	i	PROPN
ejpam-744	155	36	d	d	PROPN
ejpam-744	155	37	369078	369078	NUM
ejpam-744	155	38	,	,	PUNCT
ejpam-744	155	39	15	15	NUM
ejpam-744	155	40	pages	page	NOUN
ejpam-744	155	41	.	.	PUNCT
ejpam-744	156	1	2010	2010	NUM
ejpam-744	156	2	.	.	PUNCT
ejpam-744	157	1	[	[	X
ejpam-744	157	2	2	2	X
ejpam-744	157	3	]	]	PUNCT
ejpam-744	157	4	s.	s.	PROPN
ejpam-744	157	5	bulut	bulut	PROPN
ejpam-744	157	6	,	,	PUNCT
ejpam-744	157	7	some	some	DET
ejpam-744	157	8	properties	property	NOUN
ejpam-744	157	9	for	for	ADP
ejpam-744	157	10	an	an	DET
ejpam-744	157	11	integral	integral	ADJ
ejpam-744	157	12	operator	operator	NOUN
ejpam-744	157	13	defined	define	VERB
ejpam-744	157	14	by	by	ADP
ejpam-744	157	15	al	al	PROPN
ejpam-744	157	16	-	-	PUNCT
ejpam-744	157	17	oboudi	oboudi	ADJ
ejpam-744	157	18	differential	differential	NOUN
ejpam-744	157	19	operator	operator	NOUN
ejpam-744	157	20	,	,	PUNCT
ejpam-744	157	21	j.	j.	PROPN
ejpam-744	157	22	ineq	ineq	PROPN
ejpam-744	157	23	.	.	PUNCT
ejpam-744	158	1	pure	pure	ADJ
ejpam-744	158	2	appl	appl	PROPN
ejpam-744	158	3	.	.	PUNCT
ejpam-744	158	4	math	math	PROPN
ejpam-744	158	5	.	.	PUNCT
ejpam-744	159	1	,	,	PUNCT
ejpam-744	159	2	vol	vol	NOUN
ejpam-744	159	3	9	9	NUM
ejpam-744	159	4	,	,	PUNCT
ejpam-744	159	5	art	art	NOUN
ejpam-744	159	6	.	.	PUNCT
ejpam-744	160	1	115	115	NUM
ejpam-744	160	2	,	,	PUNCT
ejpam-744	160	3	pp5	pp5	PROPN
ejpam-744	160	4	.	.	PUNCT
ejpam-744	160	5	2008	2008	NUM
ejpam-744	160	6	.	.	PUNCT
ejpam-744	161	1	[	[	X
ejpam-744	161	2	3	3	X
ejpam-744	161	3	]	]	SYM
ejpam-744	161	4	m.darus	m.darus	NOUN
ejpam-744	161	5	and	and	CCONJ
ejpam-744	161	6	k.al	k.al	PROPN
ejpam-744	161	7	-	-	PUNCT
ejpam-744	161	8	shaqsi	shaqsi	NOUN
ejpam-744	161	9	,	,	PUNCT
ejpam-744	161	10	on	on	ADP
ejpam-744	161	11	subordinations	subordination	NOUN
ejpam-744	161	12	for	for	ADP
ejpam-744	161	13	certain	certain	ADJ
ejpam-744	161	14	analytic	analytic	ADJ
ejpam-744	161	15	functions	function	NOUN
ejpam-744	161	16	associated	associate	VERB
ejpam-744	161	17	with	with	ADP
ejpam-744	161	18	generalized	generalized	ADJ
ejpam-744	161	19	integral	integral	ADJ
ejpam-744	161	20	operator	operator	NOUN
ejpam-744	161	21	.	.	PUNCT
ejpam-744	162	1	lobachevskii	lobachevskii	PROPN
ejpam-744	162	2	journal	journal	PROPN
ejpam-744	162	3	of	of	ADP
ejpam-744	162	4	mathematics	mathematic	NOUN
ejpam-744	162	5	,	,	PUNCT
ejpam-744	162	6	29	29	NUM
ejpam-744	162	7	(	(	PUNCT
ejpam-744	162	8	2	2	NUM
ejpam-744	162	9	)	)	PUNCT
ejpam-744	162	10	,	,	PUNCT
ejpam-744	162	11	90	90	NUM
ejpam-744	162	12	-	-	SYM
ejpam-744	162	13	97	97	NUM
ejpam-744	162	14	.	.	PUNCT
ejpam-744	162	15	2008	2008	NUM
ejpam-744	162	16	.	.	PUNCT
ejpam-744	163	1	[	[	X
ejpam-744	163	2	4	4	NUM
ejpam-744	163	3	]	]	PUNCT
ejpam-744	163	4	m.	m.	NOUN
ejpam-744	163	5	darus	darus	NOUN
ejpam-744	163	6	,	,	PUNCT
ejpam-744	163	7	r.	r.	PROPN
ejpam-744	163	8	w.	w.	PROPN
ejpam-744	163	9	ibrahim	ibrahim	PROPN
ejpam-744	163	10	,	,	PUNCT
ejpam-744	163	11	coefficient	coefficient	NOUN
ejpam-744	163	12	inequalities	inequality	NOUN
ejpam-744	163	13	for	for	ADP
ejpam-744	163	14	a	a	DET
ejpam-744	163	15	new	new	ADJ
ejpam-744	163	16	class	class	NOUN
ejpam-744	163	17	of	of	ADP
ejpam-744	163	18	univalent	univalent	ADJ
ejpam-744	163	19	functions	function	NOUN
ejpam-744	163	20	,	,	PUNCT
ejpam-744	163	21	lobachevskii	lobachevskii	ADJ
ejpam-744	163	22	journal	journal	NOUN
ejpam-744	163	23	of	of	ADP
ejpam-744	163	24	mathematics	mathematic	NOUN
ejpam-744	163	25	,	,	PUNCT
ejpam-744	163	26	29(4	29(4	NOUN
ejpam-744	163	27	)	)	PUNCT
ejpam-744	163	28	,	,	PUNCT
ejpam-744	163	29	221	221	NUM
ejpam-744	163	30	-	-	SYM
ejpam-744	163	31	229	229	NUM
ejpam-744	163	32	.	.	PUNCT
ejpam-744	163	33	2008	2008	NUM
ejpam-744	163	34	.	.	PUNCT
ejpam-744	164	1	[	[	X
ejpam-744	164	2	5	5	X
ejpam-744	164	3	]	]	PUNCT
ejpam-744	164	4	r.	r.	PROPN
ejpam-744	164	5	w.	w.	PROPN
ejpam-744	164	6	ibrahim	ibrahim	PROPN
ejpam-744	164	7	,	,	PUNCT
ejpam-744	164	8	m.	m.	NOUN
ejpam-744	164	9	darus	darus	NOUN
ejpam-744	164	10	,	,	PUNCT
ejpam-744	164	11	subordination	subordination	NOUN
ejpam-744	164	12	and	and	CCONJ
ejpam-744	164	13	superordination	superordination	NOUN
ejpam-744	164	14	for	for	ADP
ejpam-744	164	15	univalent	univalent	ADJ
ejpam-744	164	16	solutions	solution	NOUN
ejpam-744	164	17	for	for	ADP
ejpam-744	164	18	fractional	fractional	ADJ
ejpam-744	164	19	differential	differential	ADJ
ejpam-744	164	20	equations	equation	NOUN
ejpam-744	164	21	,	,	PUNCT
ejpam-744	164	22	j.	j.	PROPN
ejpam-744	164	23	math	math	PROPN
ejpam-744	164	24	.	.	PUNCT
ejpam-744	165	1	anal	anal	PROPN
ejpam-744	165	2	.	.	PUNCT
ejpam-744	165	3	appl	appl	PROPN
ejpam-744	165	4	.	.	PROPN
ejpam-744	165	5	,	,	PUNCT
ejpam-744	165	6	345	345	NUM
ejpam-744	165	7	,	,	PUNCT
ejpam-744	165	8	871	871	NUM
ejpam-744	165	9	-	-	SYM
ejpam-744	165	10	879	879	NUM
ejpam-744	165	11	.	.	PUNCT
ejpam-744	165	12	2008	2008	NUM
ejpam-744	165	13	.	.	PUNCT
ejpam-744	166	1	[	[	X
ejpam-744	166	2	6	6	NUM
ejpam-744	166	3	]	]	PUNCT
ejpam-744	166	4	r.	r.	PROPN
ejpam-744	166	5	w.	w.	PROPN
ejpam-744	166	6	ibrahim	ibrahim	PROPN
ejpam-744	166	7	,	,	PUNCT
ejpam-744	166	8	m.	m.	NOUN
ejpam-744	166	9	darus	darus	NOUN
ejpam-744	166	10	,	,	PUNCT
ejpam-744	166	11	on	on	ADP
ejpam-744	166	12	subordination	subordination	NOUN
ejpam-744	166	13	theorems	theorem	NOUN
ejpam-744	166	14	for	for	ADP
ejpam-744	166	15	new	new	ADJ
ejpam-744	166	16	classes	class	NOUN
ejpam-744	166	17	of	of	ADP
ejpam-744	166	18	normalize	normalize	VERB
ejpam-744	166	19	analytic	analytic	ADJ
ejpam-744	166	20	functions	function	NOUN
ejpam-744	166	21	,	,	PUNCT
ejpam-744	166	22	applied	apply	VERB
ejpam-744	166	23	mathematical	mathematical	ADJ
ejpam-744	166	24	sciences	science	NOUN
ejpam-744	166	25	,	,	PUNCT
ejpam-744	166	26	56(2	56(2	ADJ
ejpam-744	166	27	)	)	PUNCT
ejpam-744	166	28	,	,	PUNCT
ejpam-744	166	29	2785	2785	NUM
ejpam-744	166	30	2794	2794	NUM
ejpam-744	166	31	.	.	PUNCT
ejpam-744	166	32	2008	2008	NUM
ejpam-744	166	33	.	.	PUNCT
ejpam-744	167	1	[	[	X
ejpam-744	167	2	7	7	X
ejpam-744	167	3	]	]	X
ejpam-744	167	4	r.	r.	PROPN
ejpam-744	167	5	w.	w.	PROPN
ejpam-744	167	6	ibrahim	ibrahim	PROPN
ejpam-744	167	7	,	,	PUNCT
ejpam-744	167	8	m.	m.	NOUN
ejpam-744	167	9	darus	darus	NOUN
ejpam-744	167	10	,	,	PUNCT
ejpam-744	167	11	diferential	diferential	ADJ
ejpam-744	167	12	subordination	subordination	NOUN
ejpam-744	167	13	results	result	VERB
ejpam-744	167	14	for	for	ADP
ejpam-744	167	15	new	new	ADJ
ejpam-744	167	16	classes	class	NOUN
ejpam-744	167	17	of	of	ADP
ejpam-744	167	18	the	the	DET
ejpam-744	167	19	family	family	NOUN
ejpam-744	167	20	e	e	PROPN
ejpam-744	167	21	(	(	PUNCT
ejpam-744	167	22	φ	φ	PROPN
ejpam-744	167	23	,	,	PUNCT
ejpam-744	167	24	ψ	ψ	NOUN
ejpam-744	167	25	)	)	PUNCT
ejpam-744	167	26	,	,	PUNCT
ejpam-744	167	27	j.	j.	PROPN
ejpam-744	167	28	ineq	ineq	PROPN
ejpam-744	167	29	.	.	PUNCT
ejpam-744	168	1	pure	pure	ADJ
ejpam-744	168	2	and	and	CCONJ
ejpam-744	168	3	appl	appl	PROPN
ejpam-744	168	4	.	.	PROPN
ejpam-744	168	5	math	math	PROPN
ejpam-744	168	6	.	.	PUNCT
ejpam-744	169	1	,	,	PUNCT
ejpam-744	169	2	volume	volume	NOUN
ejpam-744	169	3	9	9	NUM
ejpam-744	169	4	,	,	PUNCT
ejpam-744	169	5	issue	issue	NOUN
ejpam-744	169	6	4	4	NUM
ejpam-744	169	7	,	,	PUNCT
ejpam-744	169	8	article	article	NOUN
ejpam-744	169	9	draft	draft	NOUN
ejpam-744	169	10	,	,	PUNCT
ejpam-744	169	11	9	9	NUM
ejpam-744	169	12	pp	pp	NOUN
ejpam-744	169	13	.	.	PUNCT
ejpam-744	170	1	2009	2009	NUM
ejpam-744	170	2	.	.	PUNCT
ejpam-744	171	1	[	[	X
ejpam-744	171	2	8	8	NUM
ejpam-744	171	3	]	]	X
ejpam-744	171	4	r.	r.	PROPN
ejpam-744	171	5	w.	w.	PROPN
ejpam-744	171	6	ibrahim	ibrahim	PROPN
ejpam-744	171	7	and	and	CCONJ
ejpam-744	171	8	m.	m.	NOUN
ejpam-744	171	9	darus	darus	NOUN
ejpam-744	171	10	,	,	PUNCT
ejpam-744	171	11	subordination	subordination	NOUN
ejpam-744	171	12	and	and	CCONJ
ejpam-744	171	13	superordination	superordination	NOUN
ejpam-744	171	14	for	for	ADP
ejpam-744	171	15	analytic	analytic	ADJ
ejpam-744	171	16	functions	function	NOUN
ejpam-744	171	17	involving	involve	VERB
ejpam-744	171	18	fractional	fractional	ADJ
ejpam-744	171	19	integral	integral	ADJ
ejpam-744	171	20	operator	operator	NOUN
ejpam-744	171	21	,	,	PUNCT
ejpam-744	171	22	complex	complex	ADJ
ejpam-744	171	23	variables	variable	NOUN
ejpam-744	171	24	and	and	CCONJ
ejpam-744	171	25	elliptic	elliptic	ADJ
ejpam-744	171	26	equations	equation	NOUN
ejpam-744	171	27	,	,	PUNCT
ejpam-744	171	28	53(11	53(11	NUM
ejpam-744	171	29	)	)	PUNCT
ejpam-744	171	30	,	,	PUNCT
ejpam-744	171	31	1021	1021	NUM
ejpam-744	171	32	-	-	SYM
ejpam-744	171	33	1031	1031	NUM
ejpam-744	171	34	.	.	PUNCT
ejpam-744	172	1	2008	2008	NUM
ejpam-744	172	2	.	.	PUNCT
ejpam-744	173	1	[	[	X
ejpam-744	173	2	9	9	NUM
ejpam-744	173	3	]	]	PUNCT
ejpam-744	173	4	s.	s.	PROPN
ejpam-744	173	5	owa	owa	PROPN
ejpam-744	173	6	,	,	PUNCT
ejpam-744	173	7	h.	h.	PROPN
ejpam-744	173	8	m.	m.	PROPN
ejpam-744	173	9	srivastava	srivastava	PROPN
ejpam-744	173	10	,	,	PUNCT
ejpam-744	173	11	some	some	DET
ejpam-744	173	12	generalized	generalized	ADJ
ejpam-744	173	13	convolution	convolution	NOUN
ejpam-744	173	14	properties	property	NOUN
ejpam-744	173	15	associated	associate	VERB
ejpam-744	173	16	with	with	ADP
ejpam-744	173	17	certain	certain	ADJ
ejpam-744	173	18	subclasses	subclass	NOUN
ejpam-744	173	19	of	of	ADP
ejpam-744	173	20	analytic	analytic	ADJ
ejpam-744	173	21	functions	function	NOUN
ejpam-744	173	22	,	,	PUNCT
ejpam-744	173	23	j.	j.	PROPN
ejpam-744	173	24	ineq	ineq	PROPN
ejpam-744	173	25	.	.	PUNCT
ejpam-744	174	1	pure	pure	ADJ
ejpam-744	174	2	appl	appl	PROPN
ejpam-744	174	3	.	.	PUNCT
ejpam-744	174	4	math	math	PROPN
ejpam-744	174	5	.	.	PUNCT
ejpam-744	174	6	,	,	PUNCT
ejpam-744	174	7	3(3	3(3	NUM
ejpam-744	174	8	)	)	PUNCT
ejpam-744	174	9	,	,	PUNCT
ejpam-744	174	10	article	article	NOUN
ejpam-744	174	11	42	42	NUM
ejpam-744	174	12	.	.	PUNCT
ejpam-744	174	13	2002	2002	NUM
ejpam-744	174	14	.	.	PUNCT
ejpam-744	175	1	references	reference	NOUN
ejpam-744	175	2	66	66	NUM
ejpam-744	176	1	[	[	X
ejpam-744	176	2	10	10	NUM
ejpam-744	176	3	]	]	PUNCT
ejpam-744	176	4	s.	s.	PROPN
ejpam-744	176	5	owa	owa	PROPN
ejpam-744	176	6	,	,	PUNCT
ejpam-744	176	7	j.	j.	PROPN
ejpam-744	176	8	nishiwaki	nishiwaki	PROPN
ejpam-744	176	9	,	,	PUNCT
ejpam-744	176	10	coefficent	coefficent	NOUN
ejpam-744	176	11	estimate	estimate	NOUN
ejpam-744	176	12	for	for	ADP
ejpam-744	176	13	certain	certain	ADJ
ejpam-744	176	14	classes	class	NOUN
ejpam-744	176	15	of	of	ADP
ejpam-744	176	16	analytic	analytic	ADJ
ejpam-744	176	17	functions	function	NOUN
ejpam-744	176	18	,	,	PUNCT
ejpam-744	176	19	j.	j.	PROPN
ejpam-744	176	20	ineq	ineq	PROPN
ejpam-744	176	21	.	.	PUNCT
ejpam-744	177	1	pure	pure	ADJ
ejpam-744	177	2	appl	appl	PROPN
ejpam-744	177	3	.	.	PUNCT
ejpam-744	177	4	math	math	PROPN
ejpam-744	177	5	.	.	PUNCT
ejpam-744	177	6	,	,	PUNCT
ejpam-744	177	7	3	3	X
ejpam-744	177	8	(	(	PUNCT
ejpam-744	177	9	5	5	NUM
ejpam-744	177	10	)	)	PUNCT
ejpam-744	177	11	,	,	PUNCT
ejpam-744	177	12	article	article	NOUN
ejpam-744	177	13	72	72	NUM
ejpam-744	177	14	.	.	PUNCT
ejpam-744	177	15	2002	2002	NUM
ejpam-744	177	16	.	.	PUNCT
ejpam-744	178	1	[	[	X
ejpam-744	178	2	11	11	NUM
ejpam-744	178	3	]	]	X
ejpam-744	178	4	g.	g.	PROPN
ejpam-744	178	5	s.	s.	PROPN
ejpam-744	178	6	sǎlǎgean	sǎlǎgean	PROPN
ejpam-744	178	7	,	,	PUNCT
ejpam-744	178	8	subclasses	subclass	NOUN
ejpam-744	178	9	of	of	ADP
ejpam-744	178	10	univalent	univalent	ADJ
ejpam-744	178	11	functions	function	NOUN
ejpam-744	178	12	,	,	PUNCT
ejpam-744	178	13	lecture	lecture	NOUN
ejpam-744	178	14	notes	note	NOUN
ejpam-744	178	15	in	in	ADP
ejpam-744	178	16	math	math	NOUN
ejpam-744	178	17	.	.	PUNCT
ejpam-744	178	18	,	,	PUNCT
ejpam-744	178	19	1013	1013	NUM
ejpam-744	178	20	,	,	PUNCT
ejpam-744	178	21	springer	springer	NOUN
ejpam-744	178	22	-	-	PUNCT
ejpam-744	178	23	verlag	verlag	PROPN
ejpam-744	178	24	,	,	PUNCT
ejpam-744	178	25	berlin	berlin	PROPN
ejpam-744	178	26	,	,	PUNCT
ejpam-744	178	27	362	362	NUM
ejpam-744	178	28	-	-	SYM
ejpam-744	178	29	372	372	NUM
ejpam-744	178	30	.	.	NOUN
ejpam-744	178	31	1983	1983	NUM
ejpam-744	178	32	.	.	PUNCT
ejpam-744	179	1	[	[	X
ejpam-744	179	2	12	12	NUM
ejpam-744	179	3	]	]	X
ejpam-744	179	4	b.	b.	PROPN
ejpam-744	179	5	a.	a.	PROPN
ejpam-744	179	6	uralegaddi	uralegaddi	PROPN
ejpam-744	179	7	,	,	PUNCT
ejpam-744	179	8	a.	a.	PROPN
ejpam-744	179	9	r.	r.	PROPN
ejpam-744	179	10	desai	desai	PROPN
ejpam-744	179	11	,	,	PUNCT
ejpam-744	179	12	convolutions	convolution	NOUN
ejpam-744	179	13	of	of	ADP
ejpam-744	179	14	univalent	univalent	ADJ
ejpam-744	179	15	functions	function	NOUN
ejpam-744	179	16	with	with	ADP
ejpam-744	179	17	positive	positive	ADJ
ejpam-744	179	18	coefficients	coefficient	NOUN
ejpam-744	179	19	,	,	PUNCT
ejpam-744	179	20	tamkang	tamkang	PROPN
ejpam-744	179	21	j.	j.	PROPN
ejpam-744	179	22	math	math	PROPN
ejpam-744	179	23	.	.	PUNCT
ejpam-744	179	24	,	,	PUNCT
ejpam-744	179	25	29	29	NUM
ejpam-744	179	26	,	,	PUNCT
ejpam-744	179	27	279	279	NUM
ejpam-744	179	28	-	-	SYM
ejpam-744	179	29	285	285	NUM
ejpam-744	179	30	,	,	PUNCT
ejpam-744	179	31	1998	1998	NUM
ejpam-744	179	32	.	.	PUNCT
ejpam-744	180	1	[	[	X
ejpam-744	180	2	13	13	NUM
ejpam-744	180	3	]	]	X
ejpam-744	180	4	b.	b.	PROPN
ejpam-744	180	5	a.	a.	PROPN
ejpam-744	180	6	uralegaddi	uralegaddi	PROPN
ejpam-744	180	7	,	,	PUNCT
ejpam-744	180	8	m.	m.	PROPN
ejpam-744	180	9	d.	d.	PROPN
ejpam-744	180	10	ganigi	ganigi	PROPN
ejpam-744	180	11	and	and	CCONJ
ejpam-744	180	12	s.	s.	PROPN
ejpam-744	180	13	m.	m.	PROPN
ejpam-744	180	14	sarangi	sarangi	PROPN
ejpam-744	180	15	,	,	PUNCT
ejpam-744	180	16	univalent	univalent	ADJ
ejpam-744	180	17	functions	function	NOUN
ejpam-744	180	18	with	with	ADP
ejpam-744	180	19	positive	positive	ADJ
ejpam-744	180	20	coefficients	coefficient	NOUN
ejpam-744	180	21	,	,	PUNCT
ejpam-744	180	22	tamkang	tamkang	PROPN
ejpam-744	180	23	j.	j.	PROPN
ejpam-744	180	24	math	math	PROPN
ejpam-744	180	25	.	.	PROPN
ejpam-744	181	1	,	,	PUNCT
ejpam-744	181	2	25	25	NUM
ejpam-744	181	3	,	,	PUNCT
ejpam-744	181	4	225	225	NUM
ejpam-744	181	5	-	-	SYM
ejpam-744	181	6	230	230	NUM
ejpam-744	181	7	.	.	PUNCT
ejpam-744	181	8	1994	1994	NUM
ejpam-744	181	9	.	.	PUNCT
ejpam-744	182	1	[	[	X
ejpam-744	182	2	14	14	NUM
ejpam-744	182	3	]	]	X
ejpam-744	182	4	ri	ri	PROPN
ejpam-744	182	5	-	-	PUNCT
ejpam-744	182	6	g.	g.	PROPN
ejpam-744	182	7	xiang	xiang	PROPN
ejpam-744	182	8	,	,	PUNCT
ejpam-744	182	9	z.-gang	z.-gang	PROPN
ejpam-744	182	10	wang	wang	PROPN
ejpam-744	182	11	and	and	CCONJ
ejpam-744	182	12	m.	m.	NOUN
ejpam-744	182	13	darus	darus	NOUN
ejpam-744	182	14	,	,	PUNCT
ejpam-744	182	15	a	a	DET
ejpam-744	182	16	family	family	NOUN
ejpam-744	182	17	of	of	ADP
ejpam-744	182	18	integral	integral	ADJ
ejpam-744	182	19	operators	operator	NOUN
ejpam-744	182	20	preserving	preserve	VERB
ejpam-744	182	21	subordination	subordination	NOUN
ejpam-744	182	22	and	and	CCONJ
ejpam-744	182	23	superordination	superordination	NOUN
ejpam-744	182	24	,	,	PUNCT
ejpam-744	182	25	bull	bull	NOUN
ejpam-744	182	26	.	.	PUNCT
ejpam-744	183	1	malays	malays	PROPN
ejpam-744	183	2	.	.	PUNCT
ejpam-744	184	1	math	math	NOUN
ejpam-744	184	2	.	.	PUNCT
ejpam-744	185	1	sci	sci	PROPN
ejpam-744	185	2	.	.	PROPN
ejpam-744	185	3	,	,	PUNCT
ejpam-744	185	4	(	(	PUNCT
ejpam-744	185	5	2	2	X
ejpam-744	185	6	)	)	PUNCT
ejpam-744	185	7	33(1	33(1	NUM
ejpam-744	185	8	)	)	PUNCT
ejpam-744	185	9	,	,	PUNCT
ejpam-744	185	10	121	121	NUM
ejpam-744	185	11	-	-	SYM
ejpam-744	185	12	131	131	NUM
ejpam-744	185	13	.	.	PUNCT
ejpam-744	185	14	2010	2010	NUM
ejpam-744	185	15	.	.	PUNCT