id	sid	tid	token	lemma	pos
ejpam-2118	1	1	european	european	PROPN
ejpam-2118	1	2	journal	journal	PROPN
ejpam-2118	1	3	of	of	ADP
ejpam-2118	1	4	pure	pure	ADJ
ejpam-2118	1	5	and	and	CCONJ
ejpam-2118	1	6	applied	apply	VERB
ejpam-2118	1	7	mathematics	mathematic	NOUN
ejpam-2118	1	8	vol	vol	NOUN
ejpam-2118	1	9	.	.	PUNCT
ejpam-2118	2	1	7	7	NUM
ejpam-2118	2	2	,	,	PUNCT
ejpam-2118	2	3	no	no	INTJ
ejpam-2118	2	4	.	.	NOUN
ejpam-2118	2	5	4	4	NUM
ejpam-2118	2	6	,	,	PUNCT
ejpam-2118	2	7	2014	2014	NUM
ejpam-2118	2	8	,	,	PUNCT
ejpam-2118	2	9	419	419	NUM
ejpam-2118	2	10	-	-	SYM
ejpam-2118	2	11	428	428	NUM
ejpam-2118	2	12	issn	issn	PROPN
ejpam-2118	2	13	1307	1307	NUM
ejpam-2118	2	14	-	-	SYM
ejpam-2118	2	15	5543	5543	NUM
ejpam-2118	2	16	–	–	PUNCT
ejpam-2118	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2118	2	18	some	some	DET
ejpam-2118	2	19	approximation	approximation	NOUN
ejpam-2118	2	20	properties	property	NOUN
ejpam-2118	2	21	of	of	ADP
ejpam-2118	2	22	szasz	szasz	NOUN
ejpam-2118	2	23	-	-	PUNCT
ejpam-2118	2	24	mirakyan	mirakyan	NOUN
ejpam-2118	2	25	-	-	PUNCT
ejpam-2118	2	26	bernstein	bernstein	PROPN
ejpam-2118	2	27	operators	operators	PROPN
ejpam-2118	2	28	tuncay	tuncay	PROPN
ejpam-2118	2	29	tunç1	tunç1	PROPN
ejpam-2118	2	30	,	,	PUNCT
ejpam-2118	2	31	ersin	ersin	PROPN
ejpam-2118	2	32	şimşek	şimşek	NOUN
ejpam-2118	2	33	2,∗	2,∗	NUM
ejpam-2118	2	34	1	1	NUM
ejpam-2118	2	35	department	department	NOUN
ejpam-2118	2	36	of	of	ADP
ejpam-2118	2	37	mathematics	mathematics	PROPN
ejpam-2118	2	38	,	,	PUNCT
ejpam-2118	2	39	mersin	mersin	PROPN
ejpam-2118	2	40	university	university	PROPN
ejpam-2118	2	41	,	,	PUNCT
ejpam-2118	2	42	mersin	mersin	PROPN
ejpam-2118	2	43	,	,	PUNCT
ejpam-2118	2	44	turkey	turkey	PROPN
ejpam-2118	2	45	2	2	NUM
ejpam-2118	2	46	mersin	mersin	PROPN
ejpam-2118	2	47	university	university	PROPN
ejpam-2118	2	48	graduate	graduate	NOUN
ejpam-2118	2	49	school	school	NOUN
ejpam-2118	2	50	of	of	ADP
ejpam-2118	2	51	natural	natural	ADJ
ejpam-2118	2	52	and	and	CCONJ
ejpam-2118	2	53	applied	apply	VERB
ejpam-2118	2	54	sciences	sciences	PROPN
ejpam-2118	2	55	department	department	PROPN
ejpam-2118	2	56	of	of	ADP
ejpam-2118	2	57	mathematics	mathematics	PROPN
ejpam-2118	2	58	,	,	PUNCT
ejpam-2118	2	59	mersin	mersin	PROPN
ejpam-2118	2	60	,	,	PUNCT
ejpam-2118	2	61	turkey	turkey	NOUN
ejpam-2118	2	62	abstract	abstract	NOUN
ejpam-2118	2	63	.	.	PUNCT
ejpam-2118	3	1	in	in	ADP
ejpam-2118	3	2	this	this	DET
ejpam-2118	3	3	study	study	NOUN
ejpam-2118	3	4	,	,	PUNCT
ejpam-2118	3	5	we	we	PRON
ejpam-2118	3	6	have	have	AUX
ejpam-2118	3	7	constructed	construct	VERB
ejpam-2118	3	8	a	a	DET
ejpam-2118	3	9	new	new	ADJ
ejpam-2118	3	10	sequence	sequence	NOUN
ejpam-2118	3	11	of	of	ADP
ejpam-2118	3	12	positive	positive	ADJ
ejpam-2118	3	13	linear	linear	NOUN
ejpam-2118	3	14	operators	operator	NOUN
ejpam-2118	3	15	by	by	ADP
ejpam-2118	3	16	using	use	VERB
ejpam-2118	3	17	szaszmirakyan	szaszmirakyan	PROPN
ejpam-2118	3	18	and	and	CCONJ
ejpam-2118	3	19	bernstein	bernstein	PROPN
ejpam-2118	3	20	operators	operators	PROPN
ejpam-2118	3	21	on	on	ADP
ejpam-2118	3	22	space	space	NOUN
ejpam-2118	3	23	of	of	ADP
ejpam-2118	3	24	continuous	continuous	ADJ
ejpam-2118	3	25	functions	function	NOUN
ejpam-2118	3	26	on	on	ADP
ejpam-2118	3	27	the	the	DET
ejpam-2118	3	28	unit	unit	NOUN
ejpam-2118	3	29	compact	compact	ADJ
ejpam-2118	3	30	interval	interval	NOUN
ejpam-2118	3	31	.	.	PUNCT
ejpam-2118	4	1	we	we	PRON
ejpam-2118	4	2	also	also	ADV
ejpam-2118	4	3	find	find	VERB
ejpam-2118	4	4	order	order	NOUN
ejpam-2118	4	5	of	of	ADP
ejpam-2118	4	6	this	this	DET
ejpam-2118	4	7	approximation	approximation	NOUN
ejpam-2118	4	8	by	by	ADP
ejpam-2118	4	9	using	use	VERB
ejpam-2118	4	10	modulus	modulus	NOUN
ejpam-2118	4	11	of	of	ADP
ejpam-2118	4	12	continuity	continuity	NOUN
ejpam-2118	4	13	and	and	CCONJ
ejpam-2118	4	14	give	give	VERB
ejpam-2118	4	15	the	the	DET
ejpam-2118	4	16	voronovskaya	voronovskaya	NOUN
ejpam-2118	4	17	-	-	PUNCT
ejpam-2118	4	18	type	type	NOUN
ejpam-2118	4	19	theorem	theorem	NOUN
ejpam-2118	4	20	.	.	PROPN
ejpam-2118	4	21	2010	2010	NUM
ejpam-2118	4	22	mathematics	mathematic	NOUN
ejpam-2118	4	23	subject	subject	NOUN
ejpam-2118	4	24	classifications	classification	NOUN
ejpam-2118	4	25	:	:	PUNCT
ejpam-2118	4	26	41a25	41a25	NUM
ejpam-2118	4	27	,	,	PUNCT
ejpam-2118	4	28	41a36	41a36	NUM
ejpam-2118	4	29	,	,	PUNCT
ejpam-2118	4	30	26a48	26a48	NUM
ejpam-2118	4	31	key	key	ADJ
ejpam-2118	4	32	words	word	NOUN
ejpam-2118	4	33	and	and	CCONJ
ejpam-2118	4	34	phrases	phrase	NOUN
ejpam-2118	4	35	:	:	PUNCT
ejpam-2118	4	36	positive	positive	ADJ
ejpam-2118	4	37	linear	linear	PROPN
ejpam-2118	4	38	operators	operator	NOUN
ejpam-2118	4	39	,	,	PUNCT
ejpam-2118	4	40	korovkin	korovkin	PROPN
ejpam-2118	4	41	’s	’s	PART
ejpam-2118	4	42	theorem	theorem	PROPN
ejpam-2118	4	43	,	,	PUNCT
ejpam-2118	4	44	szasz	szasz	NOUN
ejpam-2118	4	45	-	-	PUNCT
ejpam-2118	4	46	mirakyan	mirakyan	ADJ
ejpam-2118	4	47	operators	operator	NOUN
ejpam-2118	4	48	,	,	PUNCT
ejpam-2118	4	49	bernstein	bernstein	PROPN
ejpam-2118	4	50	operators	operators	PROPN
ejpam-2118	4	51	1	1	X
ejpam-2118	4	52	.	.	PUNCT
ejpam-2118	5	1	introduction	introduction	NOUN
ejpam-2118	5	2	letn	letn	NOUN
ejpam-2118	5	3	denotes	denote	VERB
ejpam-2118	5	4	the	the	DET
ejpam-2118	5	5	set	set	NOUN
ejpam-2118	5	6	of	of	ADP
ejpam-2118	5	7	natural	natural	ADJ
ejpam-2118	5	8	numbers	number	NOUN
ejpam-2118	5	9	and	and	CCONJ
ejpam-2118	5	10	letn0	letn0	NOUN
ejpam-2118	5	11	=	=	NOUN
ejpam-2118	5	12	n∪{0	n∪{0	NOUN
ejpam-2118	5	13	}	}	PUNCT
ejpam-2118	5	14	.	.	PUNCT
ejpam-2118	6	1	let	let	VERB
ejpam-2118	6	2	f	f	PRON
ejpam-2118	6	3	be	be	AUX
ejpam-2118	6	4	real	real	ADV
ejpam-2118	6	5	-	-	PUNCT
ejpam-2118	6	6	valued	value	VERB
ejpam-2118	6	7	function	function	NOUN
ejpam-2118	6	8	defined	define	VERB
ejpam-2118	6	9	on	on	ADP
ejpam-2118	6	10	the	the	DET
ejpam-2118	6	11	closed	closed	ADJ
ejpam-2118	6	12	interval	interval	NOUN
ejpam-2118	6	13	[	[	X
ejpam-2118	6	14	0,1	0,1	NUM
ejpam-2118	6	15	]	]	PUNCT
ejpam-2118	6	16	.	.	PUNCT
ejpam-2118	7	1	the	the	DET
ejpam-2118	7	2	n	n	CCONJ
ejpam-2118	7	3	-	-	PUNCT
ejpam-2118	7	4	th	th	X
ejpam-2118	7	5	bernstein	bernstein	NOUN
ejpam-2118	7	6	operator	operator	NOUN
ejpam-2118	7	7	of	of	ADP
ejpam-2118	7	8	f	f	PROPN
ejpam-2118	7	9	,	,	PUNCT
ejpam-2118	7	10	bn	bn	PROPN
ejpam-2118	7	11	(	(	PUNCT
ejpam-2118	7	12	f	f	PROPN
ejpam-2118	7	13	)	)	PUNCT
ejpam-2118	7	14	is	be	AUX
ejpam-2118	7	15	defined	define	VERB
ejpam-2118	7	16	as	as	ADP
ejpam-2118	7	17	bn	bn	PROPN
ejpam-2118	7	18	�	�	PROPN
ejpam-2118	7	19	f	f	PROPN
ejpam-2118	7	20	;	;	PUNCT
ejpam-2118	7	21	x	x	X
ejpam-2118	7	22	�	�	PROPN
ejpam-2118	7	23	=	=	SYM
ejpam-2118	7	24	n	n	PROPN
ejpam-2118	7	25	∑	∑	ADP
ejpam-2118	7	26	k=0	k=0	PROPN
ejpam-2118	7	27	pn	pn	PROPN
ejpam-2118	7	28	,	,	PUNCT
ejpam-2118	7	29	k	k	PROPN
ejpam-2118	7	30	(	(	PUNCT
ejpam-2118	7	31	x	x	X
ejpam-2118	7	32	)	)	PUNCT
ejpam-2118	7	33	f	f	PROPN
ejpam-2118	7	34	�	�	PROPN
ejpam-2118	7	35	k	k	PROPN
ejpam-2118	7	36	n	n	PRON
ejpam-2118	7	37	�	�	PROPN
ejpam-2118	7	38	,	,	PUNCT
ejpam-2118	7	39	x	x	SYM
ejpam-2118	7	40	∈	∈	PROPN
ejpam-2118	8	1	[	[	X
ejpam-2118	8	2	0,1	0,1	NUM
ejpam-2118	8	3	]	]	PUNCT
ejpam-2118	8	4	,	,	PUNCT
ejpam-2118	8	5	n	n	PROPN
ejpam-2118	8	6	∈	∈	PROPN
ejpam-2118	8	7	n	n	CCONJ
ejpam-2118	8	8	(	(	PUNCT
ejpam-2118	8	9	1	1	NUM
ejpam-2118	8	10	)	)	PUNCT
ejpam-2118	8	11	where	where	SCONJ
ejpam-2118	8	12	pn	pn	PROPN
ejpam-2118	8	13	,	,	PUNCT
ejpam-2118	8	14	k	k	PROPN
ejpam-2118	8	15	(	(	PUNCT
ejpam-2118	8	16	x	x	X
ejpam-2118	8	17	)	)	PUNCT
ejpam-2118	8	18	=	=	SYM
ejpam-2118	8	19	�	�	PROPN
ejpam-2118	8	20	n	n	CCONJ
ejpam-2118	8	21	k	k	PROPN
ejpam-2118	8	22	�	�	PROPN
ejpam-2118	8	23	xk(1−	xk(1−	PROPN
ejpam-2118	8	24	x)n−k	x)n−k	PROPN
ejpam-2118	8	25	,	,	PUNCT
ejpam-2118	8	26	0≤	0≤	PUNCT
ejpam-2118	8	27	k	k	X
ejpam-2118	8	28	≤	≤	PROPN
ejpam-2118	8	29	n.	n.	NOUN
ejpam-2118	8	30	the	the	DET
ejpam-2118	8	31	bernstein	bernstein	PROPN
ejpam-2118	8	32	polynomials	polynomials	PROPN
ejpam-2118	8	33	bn	bn	PROPN
ejpam-2118	8	34	(	(	PUNCT
ejpam-2118	8	35	f	f	PROPN
ejpam-2118	8	36	)	)	PUNCT
ejpam-2118	8	37	was	be	AUX
ejpam-2118	8	38	introduced	introduce	VERB
ejpam-2118	8	39	to	to	PART
ejpam-2118	8	40	prove	prove	VERB
ejpam-2118	8	41	the	the	DET
ejpam-2118	8	42	weierstrass	weierstrass	NOUN
ejpam-2118	8	43	approximation	approximation	NOUN
ejpam-2118	8	44	theorem	theorem	VERB
ejpam-2118	8	45	by	by	ADP
ejpam-2118	8	46	s.	s.	PROPN
ejpam-2118	8	47	n.	n.	PROPN
ejpam-2118	8	48	bernstein	bernstein	PROPN
ejpam-2118	9	1	[	[	X
ejpam-2118	9	2	2	2	NUM
ejpam-2118	9	3	]	]	PUNCT
ejpam-2118	9	4	in	in	ADP
ejpam-2118	9	5	1912	1912	NUM
ejpam-2118	9	6	.	.	PUNCT
ejpam-2118	10	1	they	they	PRON
ejpam-2118	10	2	have	have	AUX
ejpam-2118	10	3	been	be	AUX
ejpam-2118	10	4	studied	study	VERB
ejpam-2118	10	5	intensively	intensively	ADV
ejpam-2118	10	6	and	and	CCONJ
ejpam-2118	10	7	their	their	PRON
ejpam-2118	10	8	connection	connection	NOUN
ejpam-2118	10	9	with	with	ADP
ejpam-2118	10	10	different	different	ADJ
ejpam-2118	10	11	branches	branch	NOUN
ejpam-2118	10	12	of	of	ADP
ejpam-2118	10	13	analysis	analysis	NOUN
ejpam-2118	10	14	,	,	PUNCT
ejpam-2118	10	15	such	such	ADJ
ejpam-2118	10	16	as	as	ADP
ejpam-2118	10	17	convex	convex	NOUN
ejpam-2118	10	18	and	and	CCONJ
ejpam-2118	10	19	numerical	numerical	ADJ
ejpam-2118	10	20	analysis	analysis	NOUN
ejpam-2118	10	21	,	,	PUNCT
ejpam-2118	10	22	total	total	ADJ
ejpam-2118	10	23	positivity	positivity	NOUN
ejpam-2118	10	24	and	and	CCONJ
ejpam-2118	10	25	the	the	DET
ejpam-2118	10	26	theory	theory	NOUN
ejpam-2118	10	27	of	of	ADP
ejpam-2118	10	28	monotone	monotone	ADJ
ejpam-2118	10	29	operators	operator	NOUN
ejpam-2118	10	30	have	have	AUX
ejpam-2118	10	31	been	be	AUX
ejpam-2118	10	32	investigated	investigate	VERB
ejpam-2118	10	33	.	.	PUNCT
ejpam-2118	11	1	basic	basic	ADJ
ejpam-2118	11	2	facts	fact	NOUN
ejpam-2118	11	3	on	on	ADP
ejpam-2118	11	4	bernstein	bernstein	PROPN
ejpam-2118	11	5	polynomials	polynomial	NOUN
ejpam-2118	11	6	and	and	CCONJ
ejpam-2118	11	7	their	their	PRON
ejpam-2118	11	8	generalizations	generalization	NOUN
ejpam-2118	11	9	can	can	AUX
ejpam-2118	11	10	be	be	AUX
ejpam-2118	11	11	found	find	VERB
ejpam-2118	11	12	in	in	ADP
ejpam-2118	11	13	[	[	X
ejpam-2118	11	14	5	5	NUM
ejpam-2118	11	15	,	,	PUNCT
ejpam-2118	11	16	7	7	NUM
ejpam-2118	11	17	,	,	PUNCT
ejpam-2118	11	18	9	9	NUM
ejpam-2118	11	19	,	,	PUNCT
ejpam-2118	11	20	10	10	NUM
ejpam-2118	11	21	,	,	PUNCT
ejpam-2118	11	22	12	12	NUM
ejpam-2118	11	23	,	,	PUNCT
ejpam-2118	11	24	14	14	NUM
ejpam-2118	11	25	]	]	PUNCT
ejpam-2118	11	26	and	and	CCONJ
ejpam-2118	11	27	references	reference	NOUN
ejpam-2118	11	28	therein	therein	ADV
ejpam-2118	11	29	.	.	PUNCT
ejpam-2118	12	1	∗corresponding	∗corresponde	VERB
ejpam-2118	12	2	author	author	NOUN
ejpam-2118	12	3	.	.	PUNCT
ejpam-2118	13	1	email	email	NOUN
ejpam-2118	13	2	addresses	address	NOUN
ejpam-2118	13	3	:	:	PUNCT
ejpam-2118	13	4	ttunc77@hotmail.com	ttunc77@hotmail.com	X
ejpam-2118	13	5	(	(	PUNCT
ejpam-2118	13	6	t.	t.	PROPN
ejpam-2118	13	7	tunç	tunç	PROPN
ejpam-2118	13	8	)	)	PUNCT
ejpam-2118	13	9	,	,	PUNCT
ejpam-2118	13	10	simsek.ersin@gmail.com	simsek.ersin@gmail.com	X
ejpam-2118	13	11	(	(	PUNCT
ejpam-2118	13	12	e.	e.	PROPN
ejpam-2118	13	13	şimçek	şimçek	PROPN
ejpam-2118	13	14	)	)	PUNCT
ejpam-2118	13	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2118	14	1	419	419	NUM
ejpam-2118	15	1	c	c	X
ejpam-2118	15	2	©	©	NOUN
ejpam-2118	15	3	2014	2014	NUM
ejpam-2118	15	4	ejpam	ejpam	NOUN
ejpam-2118	15	5	all	all	DET
ejpam-2118	15	6	rights	right	NOUN
ejpam-2118	15	7	reserved	reserve	VERB
ejpam-2118	15	8	.	.	PUNCT
ejpam-2118	16	1	t.	t.	PROPN
ejpam-2118	16	2	tunç	tunç	PROPN
ejpam-2118	16	3	,	,	PUNCT
ejpam-2118	16	4	e.	e.	PROPN
ejpam-2118	16	5	şimşek	şimşek	PROPN
ejpam-2118	16	6	/	/	SYM
ejpam-2118	16	7	eur	eur	PROPN
ejpam-2118	16	8	.	.	PUNCT
ejpam-2118	17	1	j.	j.	PROPN
ejpam-2118	17	2	pure	pure	PROPN
ejpam-2118	17	3	appl	appl	PROPN
ejpam-2118	17	4	.	.	PROPN
ejpam-2118	17	5	math	math	PROPN
ejpam-2118	17	6	,	,	PUNCT
ejpam-2118	17	7	7	7	NUM
ejpam-2118	17	8	(	(	PUNCT
ejpam-2118	17	9	2014	2014	NUM
ejpam-2118	17	10	)	)	PUNCT
ejpam-2118	17	11	,	,	PUNCT
ejpam-2118	17	12	419	419	NUM
ejpam-2118	17	13	-	-	SYM
ejpam-2118	17	14	428	428	NUM
ejpam-2118	17	15	420	420	NUM
ejpam-2118	17	16	for	for	ADP
ejpam-2118	17	17	the	the	DET
ejpam-2118	17	18	function	function	NOUN
ejpam-2118	17	19	f	f	PROPN
ejpam-2118	17	20	which	which	PRON
ejpam-2118	17	21	is	be	AUX
ejpam-2118	17	22	continuous	continuous	ADJ
ejpam-2118	17	23	on	on	ADP
ejpam-2118	17	24	[	[	X
ejpam-2118	17	25	0,∞	0,∞	NOUN
ejpam-2118	17	26	)	)	PUNCT
ejpam-2118	17	27	,	,	PUNCT
ejpam-2118	17	28	the	the	DET
ejpam-2118	17	29	szasz	szasz	NOUN
ejpam-2118	17	30	-	-	PUNCT
ejpam-2118	17	31	mirakyan	mirakyan	ADJ
ejpam-2118	17	32	operators	operator	NOUN
ejpam-2118	17	33	which	which	PRON
ejpam-2118	17	34	are	be	AUX
ejpam-2118	17	35	introduced	introduce	VERB
ejpam-2118	17	36	by	by	ADP
ejpam-2118	17	37	g.	g.	PROPN
ejpam-2118	17	38	m.	m.	PROPN
ejpam-2118	17	39	mirakyan	mirakyan	PROPN
ejpam-2118	18	1	[	[	X
ejpam-2118	18	2	8	8	NUM
ejpam-2118	18	3	]	]	PUNCT
ejpam-2118	18	4	in	in	ADP
ejpam-2118	18	5	1941	1941	NUM
ejpam-2118	18	6	and	and	CCONJ
ejpam-2118	18	7	then	then	ADV
ejpam-2118	18	8	,	,	PUNCT
ejpam-2118	18	9	are	be	AUX
ejpam-2118	18	10	investigated	investigate	VERB
ejpam-2118	18	11	by	by	ADP
ejpam-2118	18	12	j.	j.	PROPN
ejpam-2118	18	13	favard	favard	PROPN
ejpam-2118	19	1	[	[	X
ejpam-2118	19	2	4	4	X
ejpam-2118	19	3	]	]	PUNCT
ejpam-2118	19	4	and	and	CCONJ
ejpam-2118	19	5	o.	o.	NOUN
ejpam-2118	19	6	szasz	szasz	VERB
ejpam-2118	20	1	[	[	X
ejpam-2118	20	2	15	15	NUM
ejpam-2118	20	3	]	]	PUNCT
ejpam-2118	20	4	,	,	PUNCT
ejpam-2118	20	5	are	be	AUX
ejpam-2118	20	6	defined	define	VERB
ejpam-2118	20	7	as	as	ADP
ejpam-2118	20	8	sn	sn	PROPN
ejpam-2118	20	9	(	(	PUNCT
ejpam-2118	20	10	f	f	PROPN
ejpam-2118	20	11	;	;	PUNCT
ejpam-2118	20	12	x	x	X
ejpam-2118	20	13	)	)	PUNCT
ejpam-2118	21	1	=	=	SYM
ejpam-2118	21	2	∞	∞	NUM
ejpam-2118	21	3	∑	∑	PROPN
ejpam-2118	21	4	m=0	m=0	PROPN
ejpam-2118	21	5	qn	qn	PROPN
ejpam-2118	21	6	,	,	PUNCT
ejpam-2118	21	7	m(x	m(x	PROPN
ejpam-2118	21	8	)	)	PUNCT
ejpam-2118	21	9	f	f	PROPN
ejpam-2118	21	10	�	�	PROPN
ejpam-2118	21	11	m	m	PROPN
ejpam-2118	21	12	n	n	PRON
ejpam-2118	21	13	�	�	NOUN
ejpam-2118	21	14	,	,	PUNCT
ejpam-2118	21	15	x	x	SYM
ejpam-2118	21	16	∈	∈	PROPN
ejpam-2118	22	1	[	[	X
ejpam-2118	22	2	0,∞	0,∞	NOUN
ejpam-2118	22	3	)	)	PUNCT
ejpam-2118	22	4	,	,	PUNCT
ejpam-2118	22	5	n	n	PROPN
ejpam-2118	22	6	∈	∈	PROPN
ejpam-2118	22	7	n	n	CCONJ
ejpam-2118	23	1	where	where	SCONJ
ejpam-2118	23	2	qn	qn	NOUN
ejpam-2118	23	3	,	,	PUNCT
ejpam-2118	23	4	m(x	m(x	PROPN
ejpam-2118	23	5	)	)	PUNCT
ejpam-2118	24	1	=	=	SYM
ejpam-2118	24	2	e−nx	e−nx	NOUN
ejpam-2118	24	3	(	(	PUNCT
ejpam-2118	24	4	nx)m	nx)m	NOUN
ejpam-2118	24	5	m	m	PROPN
ejpam-2118	24	6	!	!	PUNCT
ejpam-2118	24	7	,	,	PUNCT
ejpam-2118	24	8	m	m	PROPN
ejpam-2118	24	9	∈	∈	PROPN
ejpam-2118	24	10	n0	n0	PROPN
ejpam-2118	24	11	.	.	PUNCT
ejpam-2118	25	1	(	(	PUNCT
ejpam-2118	25	2	2	2	NUM
ejpam-2118	25	3	)	)	PUNCT
ejpam-2118	25	4	2	2	NUM
ejpam-2118	25	5	.	.	PUNCT
ejpam-2118	26	1	construction	construction	NOUN
ejpam-2118	26	2	of	of	ADP
ejpam-2118	26	3	the	the	DET
ejpam-2118	26	4	generating	generate	VERB
ejpam-2118	26	5	operators	operator	NOUN
ejpam-2118	26	6	let	let	VERB
ejpam-2118	26	7	i	i	PRON
ejpam-2118	26	8	is	be	AUX
ejpam-2118	26	9	a	a	DET
ejpam-2118	26	10	fixed	fix	VERB
ejpam-2118	26	11	interval	interval	NOUN
ejpam-2118	26	12	(	(	PUNCT
ejpam-2118	26	13	bounded	bound	VERB
ejpam-2118	26	14	or	or	CCONJ
ejpam-2118	26	15	not	not	PART
ejpam-2118	26	16	)	)	PUNCT
ejpam-2118	26	17	in	in	ADP
ejpam-2118	26	18	r	r	NOUN
ejpam-2118	26	19	and	and	CCONJ
ejpam-2118	26	20	$	$	SYM
ejpam-2118	26	21	m	m	VERB
ejpam-2118	26	22	be	be	VERB
ejpam-2118	26	23	a	a	DET
ejpam-2118	26	24	sequence	sequence	NOUN
ejpam-2118	26	25	of	of	ADP
ejpam-2118	26	26	density	density	NOUN
ejpam-2118	26	27	functions	function	NOUN
ejpam-2118	26	28	on	on	ADP
ejpam-2118	26	29	the	the	DET
ejpam-2118	26	30	interval	interval	NOUN
ejpam-2118	27	1	i	i	PRON
ejpam-2118	27	2	,	,	PUNCT
ejpam-2118	27	3	that	that	ADV
ejpam-2118	27	4	is	is	ADV
ejpam-2118	27	5	,	,	PUNCT
ejpam-2118	27	6	the	the	DET
ejpam-2118	27	7	functions	function	NOUN
ejpam-2118	27	8	$	$	SYM
ejpam-2118	27	9	m	m	VERB
ejpam-2118	27	10	have	have	VERB
ejpam-2118	27	11	the	the	DET
ejpam-2118	27	12	following	follow	VERB
ejpam-2118	27	13	properties	property	NOUN
ejpam-2118	27	14	:	:	PUNCT
ejpam-2118	27	15	i.	i.	NOUN
ejpam-2118	27	16	$	$	SYM
ejpam-2118	27	17	m	m	PROPN
ejpam-2118	27	18	non	non	ADJ
ejpam-2118	27	19	-	-	ADJ
ejpam-2118	27	20	negative	negative	ADJ
ejpam-2118	27	21	for	for	ADP
ejpam-2118	27	22	all	all	DET
ejpam-2118	27	23	x	x	SYM
ejpam-2118	27	24	∈	∈	PROPN
ejpam-2118	27	25	i	i	PRON
ejpam-2118	27	26	and	and	CCONJ
ejpam-2118	27	27	m	m	PROPN
ejpam-2118	27	28	∈	∈	PROPN
ejpam-2118	27	29	n0	n0	PROPN
ejpam-2118	27	30	ii	ii	PROPN
ejpam-2118	27	31	.	.	PUNCT
ejpam-2118	28	1	∑∞	∑∞	PROPN
ejpam-2118	28	2	m=0$m(x	m=0$m(x	PROPN
ejpam-2118	28	3	)	)	PUNCT
ejpam-2118	28	4	=	=	SYM
ejpam-2118	28	5	1	1	NUM
ejpam-2118	28	6	for	for	ADP
ejpam-2118	28	7	all	all	DET
ejpam-2118	28	8	x	x	SYM
ejpam-2118	28	9	∈	∈	NOUN
ejpam-2118	28	10	i	i	PRON
ejpam-2118	28	11	let	let	VERB
ejpam-2118	28	12	(	(	PUNCT
ejpam-2118	28	13	ln	ln	ADJ
ejpam-2118	28	14	)	)	PUNCT
ejpam-2118	28	15	be	be	AUX
ejpam-2118	28	16	a	a	DET
ejpam-2118	28	17	sequence	sequence	NOUN
ejpam-2118	28	18	of	of	ADP
ejpam-2118	28	19	positive	positive	ADJ
ejpam-2118	28	20	linear	linear	NOUN
ejpam-2118	28	21	operators	operator	NOUN
ejpam-2118	28	22	defined	define	VERB
ejpam-2118	28	23	on	on	ADP
ejpam-2118	28	24	the	the	DET
ejpam-2118	28	25	set	set	NOUN
ejpam-2118	28	26	of	of	ADP
ejpam-2118	28	27	the	the	DET
ejpam-2118	28	28	continuous	continuous	ADJ
ejpam-2118	28	29	functions	function	NOUN
ejpam-2118	28	30	on	on	ADP
ejpam-2118	28	31	the	the	DET
ejpam-2118	28	32	interval	interval	NOUN
ejpam-2118	28	33	i	i	PRON
ejpam-2118	28	34	,	,	PUNCT
ejpam-2118	28	35	say	say	VERB
ejpam-2118	28	36	c(i	c(i	NOUN
ejpam-2118	28	37	)	)	PUNCT
ejpam-2118	28	38	.	.	PUNCT
ejpam-2118	29	1	now	now	ADV
ejpam-2118	29	2	we	we	PRON
ejpam-2118	29	3	define	define	VERB
ejpam-2118	29	4	the	the	DET
ejpam-2118	29	5	generating	generate	VERB
ejpam-2118	29	6	operators	operator	NOUN
ejpam-2118	29	7	gn	gn	INTJ
ejpam-2118	29	8	on	on	ADP
ejpam-2118	29	9	c(i	c(i	NOUN
ejpam-2118	29	10	)	)	PUNCT
ejpam-2118	29	11	.	.	PUNCT
ejpam-2118	30	1	for	for	ADP
ejpam-2118	30	2	every	every	DET
ejpam-2118	30	3	n	n	PRON
ejpam-2118	30	4	∈	∈	PROPN
ejpam-2118	30	5	n	n	CCONJ
ejpam-2118	30	6	,	,	PUNCT
ejpam-2118	30	7	x	x	SYM
ejpam-2118	30	8	∈	∈	PROPN
ejpam-2118	30	9	i	i	PRON
ejpam-2118	30	10	and	and	CCONJ
ejpam-2118	30	11	f	f	PROPN
ejpam-2118	30	12	∈	∈	PROPN
ejpam-2118	30	13	c(i	c(i	PROPN
ejpam-2118	30	14	)	)	PUNCT
ejpam-2118	31	1	gn	gn	PROPN
ejpam-2118	31	2	(	(	PUNCT
ejpam-2118	31	3	f	f	PROPN
ejpam-2118	31	4	;	;	PUNCT
ejpam-2118	31	5	x	x	X
ejpam-2118	31	6	)	)	PUNCT
ejpam-2118	32	1	=	=	SYM
ejpam-2118	32	2	∞	∞	NUM
ejpam-2118	32	3	∑	∑	PUNCT
ejpam-2118	32	4	m=0	m=0	PROPN
ejpam-2118	32	5	$	$	SYM
ejpam-2118	32	6	m(nx)lϕn	m(nx)lϕn	NOUN
ejpam-2118	32	7	,	,	PUNCT
ejpam-2118	32	8	m	m	VERB
ejpam-2118	32	9	(	(	PUNCT
ejpam-2118	32	10	f	f	X
ejpam-2118	32	11	;	;	PUNCT
ejpam-2118	32	12	x	x	X
ejpam-2118	32	13	)	)	PUNCT
ejpam-2118	32	14	m	m	VERB
ejpam-2118	32	15	∈	∈	NOUN
ejpam-2118	32	16	n0	n0	PROPN
ejpam-2118	32	17	,	,	PUNCT
ejpam-2118	32	18	(	(	PUNCT
ejpam-2118	32	19	3	3	X
ejpam-2118	32	20	)	)	PUNCT
ejpam-2118	32	21	where	where	SCONJ
ejpam-2118	32	22	$	$	SYM
ejpam-2118	32	23	m	m	NOUN
ejpam-2118	32	24	are	be	AUX
ejpam-2118	32	25	density	density	NOUN
ejpam-2118	32	26	functions	function	NOUN
ejpam-2118	32	27	on	on	ADP
ejpam-2118	32	28	i	i	PRON
ejpam-2118	32	29	and	and	CCONJ
ejpam-2118	32	30	ϕn	ϕn	INTJ
ejpam-2118	32	31	,	,	PUNCT
ejpam-2118	32	32	m	m	VERB
ejpam-2118	32	33	:	:	PUNCT
ejpam-2118	32	34	=	=	SYM
ejpam-2118	32	35	ϕ(n	ϕ(n	X
ejpam-2118	32	36	,	,	PUNCT
ejpam-2118	32	37	m	m	NOUN
ejpam-2118	32	38	)	)	PUNCT
ejpam-2118	33	1	=	=	VERB
ejpam-2118	33	2	αnβm	αnβm	NOUN
ejpam-2118	33	3	where	where	SCONJ
ejpam-2118	33	4	(	(	PUNCT
ejpam-2118	33	5	αn	αn	NOUN
ejpam-2118	33	6	)	)	PUNCT
ejpam-2118	33	7	is	be	AUX
ejpam-2118	33	8	a	a	DET
ejpam-2118	33	9	nondecreasing	nondecreasing	ADJ
ejpam-2118	33	10	and	and	CCONJ
ejpam-2118	33	11	(	(	PUNCT
ejpam-2118	33	12	βm	βm	VERB
ejpam-2118	33	13	)	)	PUNCT
ejpam-2118	33	14	is	be	AUX
ejpam-2118	33	15	a	a	DET
ejpam-2118	33	16	strictly	strictly	ADV
ejpam-2118	33	17	increasing	increase	VERB
ejpam-2118	33	18	natural	natural	ADJ
ejpam-2118	33	19	sequence	sequence	NOUN
ejpam-2118	33	20	.	.	PUNCT
ejpam-2118	34	1	it	it	PRON
ejpam-2118	34	2	is	be	AUX
ejpam-2118	34	3	easy	easy	ADJ
ejpam-2118	34	4	to	to	PART
ejpam-2118	34	5	check	check	VERB
ejpam-2118	34	6	that	that	SCONJ
ejpam-2118	34	7	the	the	DET
ejpam-2118	34	8	operators	operator	NOUN
ejpam-2118	34	9	gn	gn	PROPN
ejpam-2118	34	10	are	be	AUX
ejpam-2118	34	11	positive	positive	ADJ
ejpam-2118	34	12	and	and	CCONJ
ejpam-2118	34	13	linear	linear	ADJ
ejpam-2118	34	14	on	on	ADP
ejpam-2118	34	15	c(i	c(i	NOUN
ejpam-2118	34	16	)	)	PUNCT
ejpam-2118	34	17	.	.	PUNCT
ejpam-2118	35	1	taking	take	VERB
ejpam-2118	35	2	i	i	PRON
ejpam-2118	35	3	=	=	PUNCT
ejpam-2118	36	1	[	[	X
ejpam-2118	36	2	0,1	0,1	NUM
ejpam-2118	36	3	]	]	PUNCT
ejpam-2118	36	4	,	,	PUNCT
ejpam-2118	36	5	βm	βm	ADP
ejpam-2118	36	6	=	=	PUNCT
ejpam-2118	36	7	m+	m+	NUM
ejpam-2118	36	8	1	1	NUM
ejpam-2118	36	9	,	,	PUNCT
ejpam-2118	36	10	$	$	SYM
ejpam-2118	36	11	m	m	NOUN
ejpam-2118	36	12	=	=	NOUN
ejpam-2118	36	13	qn	qn	PROPN
ejpam-2118	36	14	,	,	PUNCT
ejpam-2118	36	15	m	m	PROPN
ejpam-2118	36	16	and	and	CCONJ
ejpam-2118	36	17	lϕn	lϕn	NOUN
ejpam-2118	36	18	,	,	PUNCT
ejpam-2118	36	19	m	m	NOUN
ejpam-2118	36	20	=	=	ADJ
ejpam-2118	36	21	bϕn	bϕn	NOUN
ejpam-2118	36	22	,	,	PUNCT
ejpam-2118	36	23	m	m	VERB
ejpam-2118	36	24	where	where	SCONJ
ejpam-2118	36	25	bϕ	bϕ	ADP
ejpam-2118	36	26	and	and	CCONJ
ejpam-2118	36	27	qn	qn	INTJ
ejpam-2118	36	28	,	,	PUNCT
ejpam-2118	36	29	m	m	AUX
ejpam-2118	36	30	defined	define	VERB
ejpam-2118	36	31	in	in	ADP
ejpam-2118	36	32	(	(	PUNCT
ejpam-2118	36	33	1	1	NUM
ejpam-2118	36	34	)	)	PUNCT
ejpam-2118	36	35	and	and	CCONJ
ejpam-2118	36	36	(	(	PUNCT
ejpam-2118	36	37	2	2	X
ejpam-2118	36	38	)	)	PUNCT
ejpam-2118	36	39	respectively	respectively	ADV
ejpam-2118	36	40	,	,	PUNCT
ejpam-2118	36	41	we	we	PRON
ejpam-2118	36	42	can	can	AUX
ejpam-2118	36	43	rewrite	rewrite	VERB
ejpam-2118	36	44	(	(	PUNCT
ejpam-2118	36	45	3	3	NUM
ejpam-2118	36	46	)	)	PUNCT
ejpam-2118	36	47	as	as	ADP
ejpam-2118	36	48	en	en	PROPN
ejpam-2118	36	49	�	�	PROPN
ejpam-2118	36	50	f	f	PROPN
ejpam-2118	36	51	;	;	PUNCT
ejpam-2118	36	52	x	x	X
ejpam-2118	36	53	�	�	PROPN
ejpam-2118	36	54	=	=	PUNCT
ejpam-2118	37	1	∞	∞	PROPN
ejpam-2118	37	2	∑	∑	PROPN
ejpam-2118	37	3	m=1	m=1	PROPN
ejpam-2118	37	4	e−nx(nx)m−1	e−nx(nx)m−1	PROPN
ejpam-2118	37	5	(	(	PUNCT
ejpam-2118	37	6	m−	m−	PROPN
ejpam-2118	37	7	1	1	NUM
ejpam-2118	37	8	)	)	PUNCT
ejpam-2118	37	9	!	!	PUNCT
ejpam-2118	38	1	mαn	mαn	ADJ
ejpam-2118	38	2	∑	∑	PUNCT
ejpam-2118	38	3	k=0	k=0	PROPN
ejpam-2118	38	4	�	�	PROPN
ejpam-2118	38	5	mαn	mαn	PROPN
ejpam-2118	38	6	k	k	PROPN
ejpam-2118	38	7	�	�	PROPN
ejpam-2118	39	1	xk(1−	xk(1−	PROPN
ejpam-2118	39	2	x)mαn−k	x)mαn−k	PROPN
ejpam-2118	40	1	f	f	PROPN
ejpam-2118	40	2	�	�	PROPN
ejpam-2118	40	3	k	k	PROPN
ejpam-2118	40	4	mαn	mαn	PROPN
ejpam-2118	40	5	�	�	PROPN
ejpam-2118	40	6	.	.	PUNCT
ejpam-2118	41	1	(	(	PUNCT
ejpam-2118	41	2	4	4	X
ejpam-2118	41	3	)	)	PUNCT
ejpam-2118	41	4	the	the	DET
ejpam-2118	41	5	operators	operator	NOUN
ejpam-2118	41	6	en	en	ADV
ejpam-2118	41	7	defined	define	VERB
ejpam-2118	41	8	in	in	ADP
ejpam-2118	41	9	(	(	PUNCT
ejpam-2118	41	10	4	4	NUM
ejpam-2118	41	11	)	)	PUNCT
ejpam-2118	41	12	is	be	AUX
ejpam-2118	41	13	called	call	VERB
ejpam-2118	41	14	the	the	DET
ejpam-2118	41	15	szasz	szasz	NOUN
ejpam-2118	41	16	-	-	PUNCT
ejpam-2118	41	17	mirakyan	mirakyan	NOUN
ejpam-2118	41	18	-	-	PUNCT
ejpam-2118	41	19	bernstein	bernstein	PROPN
ejpam-2118	41	20	(	(	PUNCT
ejpam-2118	41	21	smb	smb	PROPN
ejpam-2118	41	22	)	)	PUNCT
ejpam-2118	41	23	operators	operator	NOUN
ejpam-2118	41	24	.	.	PUNCT
ejpam-2118	42	1	in	in	ADP
ejpam-2118	42	2	this	this	DET
ejpam-2118	42	3	study	study	NOUN
ejpam-2118	42	4	,	,	PUNCT
ejpam-2118	42	5	we	we	PRON
ejpam-2118	42	6	investigate	investigate	VERB
ejpam-2118	42	7	some	some	DET
ejpam-2118	42	8	approximation	approximation	NOUN
ejpam-2118	42	9	properties	property	NOUN
ejpam-2118	42	10	of	of	ADP
ejpam-2118	42	11	these	these	DET
ejpam-2118	42	12	operators	operator	NOUN
ejpam-2118	42	13	and	and	CCONJ
ejpam-2118	42	14	find	find	VERB
ejpam-2118	42	15	voronovskyatype	voronovskyatype	NOUN
ejpam-2118	42	16	theorem	theorem	NOUN
ejpam-2118	42	17	and	and	CCONJ
ejpam-2118	42	18	the	the	DET
ejpam-2118	42	19	order	order	NOUN
ejpam-2118	42	20	of	of	ADP
ejpam-2118	42	21	this	this	DET
ejpam-2118	42	22	approximation	approximation	NOUN
ejpam-2118	42	23	by	by	ADP
ejpam-2118	42	24	using	use	VERB
ejpam-2118	42	25	modulus	modulus	NOUN
ejpam-2118	42	26	of	of	ADP
ejpam-2118	42	27	continuity	continuity	NOUN
ejpam-2118	42	28	.	.	PUNCT
ejpam-2118	43	1	3	3	X
ejpam-2118	43	2	.	.	X
ejpam-2118	44	1	some	some	DET
ejpam-2118	44	2	notations	notation	NOUN
ejpam-2118	44	3	and	and	CCONJ
ejpam-2118	44	4	auxiliary	auxiliary	ADJ
ejpam-2118	44	5	facts	fact	NOUN
ejpam-2118	44	6	in	in	ADP
ejpam-2118	44	7	this	this	DET
ejpam-2118	44	8	section	section	NOUN
ejpam-2118	44	9	we	we	PRON
ejpam-2118	44	10	will	will	AUX
ejpam-2118	44	11	give	give	VERB
ejpam-2118	44	12	some	some	DET
ejpam-2118	44	13	basic	basic	ADJ
ejpam-2118	44	14	definitions	definition	NOUN
ejpam-2118	44	15	,	,	PUNCT
ejpam-2118	44	16	theorems	theorem	NOUN
ejpam-2118	44	17	and	and	CCONJ
ejpam-2118	44	18	some	some	DET
ejpam-2118	44	19	elementary	elementary	ADJ
ejpam-2118	44	20	properties	property	NOUN
ejpam-2118	44	21	concerning	concern	VERB
ejpam-2118	44	22	space	space	NOUN
ejpam-2118	44	23	of	of	ADP
ejpam-2118	44	24	functions	function	NOUN
ejpam-2118	44	25	and	and	CCONJ
ejpam-2118	44	26	moduli	modulus	NOUN
ejpam-2118	44	27	of	of	ADP
ejpam-2118	44	28	smoothness	smoothness	NOUN
ejpam-2118	44	29	of	of	ADP
ejpam-2118	44	30	first	first	ADJ
ejpam-2118	44	31	and	and	CCONJ
ejpam-2118	44	32	second	second	ADJ
ejpam-2118	44	33	order	order	NOUN
ejpam-2118	44	34	.	.	PUNCT
ejpam-2118	45	1	for	for	SCONJ
ejpam-2118	45	2	more	more	ADJ
ejpam-2118	45	3	information	information	NOUN
ejpam-2118	45	4	see	see	VERB
ejpam-2118	45	5	[	[	X
ejpam-2118	45	6	1	1	X
ejpam-2118	45	7	]	]	PUNCT
ejpam-2118	45	8	or	or	CCONJ
ejpam-2118	45	9	[	[	X
ejpam-2118	45	10	11	11	NUM
ejpam-2118	45	11	]	]	PUNCT
ejpam-2118	45	12	.	.	PUNCT
ejpam-2118	46	1	t.	t.	PROPN
ejpam-2118	46	2	tunç	tunç	PROPN
ejpam-2118	46	3	,	,	PUNCT
ejpam-2118	46	4	e.	e.	PROPN
ejpam-2118	46	5	şimşek	şimşek	PROPN
ejpam-2118	46	6	/	/	SYM
ejpam-2118	46	7	eur	eur	PROPN
ejpam-2118	46	8	.	.	PUNCT
ejpam-2118	47	1	j.	j.	PROPN
ejpam-2118	47	2	pure	pure	PROPN
ejpam-2118	47	3	appl	appl	PROPN
ejpam-2118	47	4	.	.	PROPN
ejpam-2118	47	5	math	math	PROPN
ejpam-2118	47	6	,	,	PUNCT
ejpam-2118	47	7	7	7	NUM
ejpam-2118	47	8	(	(	PUNCT
ejpam-2118	47	9	2014	2014	NUM
ejpam-2118	47	10	)	)	PUNCT
ejpam-2118	47	11	,	,	PUNCT
ejpam-2118	47	12	419	419	NUM
ejpam-2118	47	13	-	-	SYM
ejpam-2118	47	14	428	428	NUM
ejpam-2118	47	15	421	421	NUM
ejpam-2118	47	16	1	1	NUM
ejpam-2118	47	17	.	.	PUNCT
ejpam-2118	48	1	let	let	VERB
ejpam-2118	48	2	c[0	c[0	PROPN
ejpam-2118	48	3	,	,	PUNCT
ejpam-2118	48	4	1	1	NUM
ejpam-2118	48	5	]	]	PUNCT
ejpam-2118	48	6	be	be	AUX
ejpam-2118	48	7	the	the	DET
ejpam-2118	48	8	space	space	NOUN
ejpam-2118	48	9	of	of	ADP
ejpam-2118	48	10	real	real	ADV
ejpam-2118	48	11	-	-	PUNCT
ejpam-2118	48	12	valued	value	VERB
ejpam-2118	48	13	continuous	continuous	ADJ
ejpam-2118	48	14	function	function	NOUN
ejpam-2118	48	15	on	on	ADP
ejpam-2118	48	16	[	[	X
ejpam-2118	48	17	0	0	NUM
ejpam-2118	48	18	,	,	PUNCT
ejpam-2118	48	19	1	1	NUM
ejpam-2118	48	20	]	]	PUNCT
ejpam-2118	48	21	equipped	equip	VERB
ejpam-2118	48	22	with	with	ADP
ejpam-2118	48	23	the	the	DET
ejpam-2118	48	24	uniform	uniform	ADJ
ejpam-2118	48	25	norm	norm	NOUN
ejpam-2118	48	26	:	:	PUNCT
ejpam-2118	48	27	‖	‖	PROPN
ejpam-2118	48	28	f	f	PROPN
ejpam-2118	48	29	‖	‖	PROPN
ejpam-2118	48	30	:	:	PUNCT
ejpam-2118	49	1	=	=	NUM
ejpam-2118	49	2	max{|	max{|	NOUN
ejpam-2118	49	3	f	f	X
ejpam-2118	49	4	(	(	PUNCT
ejpam-2118	49	5	x)|	x)|	NOUN
ejpam-2118	49	6	:	:	PUNCT
ejpam-2118	49	7	x	x	PUNCT
ejpam-2118	49	8	∈	∈	PROPN
ejpam-2118	50	1	[	[	X
ejpam-2118	50	2	0,1	0,1	NUM
ejpam-2118	50	3	]	]	PUNCT
ejpam-2118	50	4	}	}	PUNCT
ejpam-2118	50	5	and	and	CCONJ
ejpam-2118	50	6	c	c	ADP
ejpam-2118	50	7	r[0,1	r[0,1	NOUN
ejpam-2118	50	8	]	]	PUNCT
ejpam-2118	50	9	,	,	PUNCT
ejpam-2118	50	10	r	r	PROPN
ejpam-2118	50	11	∈	∈	PROPN
ejpam-2118	50	12	n0	n0	PROPN
ejpam-2118	50	13	,	,	PUNCT
ejpam-2118	50	14	be	be	AUX
ejpam-2118	50	15	the	the	DET
ejpam-2118	50	16	set	set	NOUN
ejpam-2118	50	17	all	all	DET
ejpam-2118	50	18	r	r	NOUN
ejpam-2118	50	19	-	-	PUNCT
ejpam-2118	50	20	times	time	NOUN
ejpam-2118	50	21	continuously	continuously	ADV
ejpam-2118	50	22	differentiable	differentiable	ADJ
ejpam-2118	50	23	functions	function	NOUN
ejpam-2118	50	24	f	f	PROPN
ejpam-2118	50	25	∈	∈	PROPN
ejpam-2118	50	26	c[0,1	c[0,1	NOUN
ejpam-2118	50	27	]	]	X
ejpam-2118	50	28	.	.	PUNCT
ejpam-2118	51	1	2	2	X
ejpam-2118	51	2	.	.	X
ejpam-2118	51	3	for	for	ADP
ejpam-2118	51	4	the	the	DET
ejpam-2118	51	5	real	real	ADV
ejpam-2118	51	6	-	-	PUNCT
ejpam-2118	51	7	valued	value	VERB
ejpam-2118	51	8	function	function	NOUN
ejpam-2118	51	9	f	f	PROPN
ejpam-2118	51	10	defined	define	VERB
ejpam-2118	51	11	on	on	ADP
ejpam-2118	51	12	[	[	X
ejpam-2118	51	13	0,1	0,1	NUM
ejpam-2118	51	14	]	]	PUNCT
ejpam-2118	51	15	and	and	CCONJ
ejpam-2118	51	16	δ	δ	PROPN
ejpam-2118	51	17	≥	≥	NUM
ejpam-2118	51	18	0	0	NUM
ejpam-2118	51	19	,	,	PUNCT
ejpam-2118	51	20	the	the	DET
ejpam-2118	51	21	modulus	modulus	NOUN
ejpam-2118	51	22	of	of	ADP
ejpam-2118	51	23	continuity	continuity	NOUN
ejpam-2118	51	24	ω	ω	PROPN
ejpam-2118	51	25	(	(	PUNCT
ejpam-2118	51	26	f	f	PROPN
ejpam-2118	51	27	,	,	PUNCT
ejpam-2118	51	28	δ	δ	PROPN
ejpam-2118	51	29	)	)	PUNCT
ejpam-2118	51	30	and	and	CCONJ
ejpam-2118	51	31	the	the	DET
ejpam-2118	51	32	second	second	ADJ
ejpam-2118	51	33	modulus	modulus	NOUN
ejpam-2118	51	34	of	of	ADP
ejpam-2118	51	35	smoothness	smoothness	ADJ
ejpam-2118	51	36	ω2	ω2	PROPN
ejpam-2118	51	37	(	(	PUNCT
ejpam-2118	51	38	f	f	PROPN
ejpam-2118	51	39	,	,	PUNCT
ejpam-2118	51	40	δ	δ	PROPN
ejpam-2118	51	41	)	)	PUNCT
ejpam-2118	51	42	of	of	ADP
ejpam-2118	51	43	f	f	PROPN
ejpam-2118	51	44	are	be	AUX
ejpam-2118	51	45	defined	define	VERB
ejpam-2118	51	46	by	by	ADP
ejpam-2118	51	47	ω	ω	PROPN
ejpam-2118	51	48	(	(	PUNCT
ejpam-2118	51	49	f	f	PROPN
ejpam-2118	51	50	,	,	PUNCT
ejpam-2118	51	51	δ	δ	PROPN
ejpam-2118	51	52	)	)	PUNCT
ejpam-2118	51	53	:	:	PUNCT
ejpam-2118	52	1	=	=	SYM
ejpam-2118	52	2	sup	sup	X
ejpam-2118	52	3	|x−y|≤δ	|x−y|≤δ	VERB
ejpam-2118	52	4	{	{	PUNCT
ejpam-2118	52	5	|	|	NOUN
ejpam-2118	52	6	f	f	X
ejpam-2118	52	7	(	(	PUNCT
ejpam-2118	52	8	x)−	x)−	PROPN
ejpam-2118	52	9	f	f	PROPN
ejpam-2118	52	10	(	(	PUNCT
ejpam-2118	52	11	y)|	y)|	PROPN
ejpam-2118	52	12	}	}	PUNCT
ejpam-2118	52	13	,	,	PUNCT
ejpam-2118	52	14	ω2	ω2	PROPN
ejpam-2118	52	15	(	(	PUNCT
ejpam-2118	52	16	f	f	PROPN
ejpam-2118	52	17	,	,	PUNCT
ejpam-2118	52	18	δ	δ	PROPN
ejpam-2118	52	19	)	)	PUNCT
ejpam-2118	52	20	:	:	PUNCT
ejpam-2118	53	1	=	=	SYM
ejpam-2118	53	2	sup	sup	NOUN
ejpam-2118	53	3	0≤h≤δ	0≤h≤δ	NUM
ejpam-2118	53	4	sup	sup	NOUN
ejpam-2118	53	5	0≤x≤1−2h	0≤x≤1−2h	NUM
ejpam-2118	53	6	{	{	PUNCT
ejpam-2118	53	7	|	|	NOUN
ejpam-2118	53	8	f	f	X
ejpam-2118	53	9	(	(	PUNCT
ejpam-2118	53	10	x	x	PROPN
ejpam-2118	54	1	+	+	CCONJ
ejpam-2118	54	2	2h)−	2h)−	NUM
ejpam-2118	54	3	2	2	NUM
ejpam-2118	54	4	f	f	NOUN
ejpam-2118	54	5	(	(	PUNCT
ejpam-2118	54	6	x	x	PROPN
ejpam-2118	54	7	+	+	NUM
ejpam-2118	54	8	h	h	NOUN
ejpam-2118	54	9	)	)	PUNCT
ejpam-2118	55	1	+	+	NUM
ejpam-2118	55	2	f	f	X
ejpam-2118	55	3	(	(	PUNCT
ejpam-2118	55	4	x)|	x)|	PROPN
ejpam-2118	55	5	}	}	PUNCT
ejpam-2118	55	6	,	,	PUNCT
ejpam-2118	55	7	respectively	respectively	ADV
ejpam-2118	55	8	.	.	PUNCT
ejpam-2118	56	1	it	it	PRON
ejpam-2118	56	2	is	be	AUX
ejpam-2118	56	3	known	know	VERB
ejpam-2118	56	4	that	that	SCONJ
ejpam-2118	56	5	,	,	PUNCT
ejpam-2118	56	6	for	for	ADP
ejpam-2118	56	7	a	a	DET
ejpam-2118	56	8	function	function	NOUN
ejpam-2118	56	9	f	f	PROPN
ejpam-2118	56	10	∈	∈	PROPN
ejpam-2118	56	11	c[0	c[0	PROPN
ejpam-2118	56	12	,	,	PUNCT
ejpam-2118	56	13	1	1	NUM
ejpam-2118	56	14	]	]	PUNCT
ejpam-2118	56	15	,	,	PUNCT
ejpam-2118	56	16	we	we	PRON
ejpam-2118	56	17	have	have	VERB
ejpam-2118	56	18	limδ→0ω	limδ→0ω	NOUN
ejpam-2118	56	19	(	(	PUNCT
ejpam-2118	56	20	f	f	PROPN
ejpam-2118	56	21	,	,	PUNCT
ejpam-2118	56	22	δ	δ	PROPN
ejpam-2118	56	23	)	)	PUNCT
ejpam-2118	56	24	=	=	SYM
ejpam-2118	56	25	0	0	PUNCT
ejpam-2118	57	1	and	and	CCONJ
ejpam-2118	57	2	,	,	PUNCT
ejpam-2118	57	3	for	for	ADP
ejpam-2118	57	4	any	any	DET
ejpam-2118	57	5	δ	δ	PROPN
ejpam-2118	57	6	>	>	X
ejpam-2118	57	7	0	0	PROPN
ejpam-2118	57	8	,	,	PUNCT
ejpam-2118	57	9	�	�	PROPN
ejpam-2118	57	10	�	�	PROPN
ejpam-2118	57	11	f	f	PROPN
ejpam-2118	57	12	(	(	PUNCT
ejpam-2118	57	13	t)−	t)−	PROPN
ejpam-2118	57	14	f	f	X
ejpam-2118	57	15	(	(	PUNCT
ejpam-2118	57	16	x	x	X
ejpam-2118	57	17	)	)	PUNCT
ejpam-2118	57	18	�	�	PROPN
ejpam-2118	57	19	�	�	PROPN
ejpam-2118	57	20	≤ω	≤ω	PROPN
ejpam-2118	57	21	(	(	PUNCT
ejpam-2118	57	22	f	f	PROPN
ejpam-2118	57	23	,	,	PUNCT
ejpam-2118	57	24	δ	δ	PROPN
ejpam-2118	57	25	)	)	PUNCT
ejpam-2118	57	26	�	�	PROPN
ejpam-2118	57	27	|t	|t	VERB
ejpam-2118	57	28	−	−	PROPN
ejpam-2118	58	1	x	x	INTJ
ejpam-2118	59	1	|	|	ADV
ejpam-2118	59	2	δ	δ	X
ejpam-2118	59	3	+	+	CCONJ
ejpam-2118	59	4	1	1	NUM
ejpam-2118	59	5	�	�	PROPN
ejpam-2118	59	6	(	(	PUNCT
ejpam-2118	59	7	5	5	NUM
ejpam-2118	59	8	)	)	PUNCT
ejpam-2118	59	9	3	3	NUM
ejpam-2118	59	10	.	.	PUNCT
ejpam-2118	60	1	as	as	ADP
ejpam-2118	60	2	usual	usual	ADJ
ejpam-2118	60	3	,	,	PUNCT
ejpam-2118	60	4	a	a	DET
ejpam-2118	60	5	function	function	NOUN
ejpam-2118	60	6	f	f	PROPN
ejpam-2118	60	7	∈	∈	PROPN
ejpam-2118	60	8	lipmµ	lipmµ	NOUN
ejpam-2118	60	9	,	,	PUNCT
ejpam-2118	60	10	(	(	PUNCT
ejpam-2118	60	11	m	m	VERB
ejpam-2118	60	12	>	>	X
ejpam-2118	60	13	0	0	NUM
ejpam-2118	60	14	and	and	CCONJ
ejpam-2118	60	15	0	0	NUM
ejpam-2118	60	16	<	<	X
ejpam-2118	60	17	µ≤	µ≤	PROPN
ejpam-2118	60	18	1	1	NUM
ejpam-2118	60	19	)	)	PUNCT
ejpam-2118	60	20	,	,	PUNCT
ejpam-2118	60	21	if	if	SCONJ
ejpam-2118	60	22	the	the	DET
ejpam-2118	60	23	inequality	inequality	NOUN
ejpam-2118	60	24	�	�	PROPN
ejpam-2118	60	25	�	�	PROPN
ejpam-2118	60	26	f	f	PROPN
ejpam-2118	60	27	(	(	PUNCT
ejpam-2118	60	28	t)−	t)−	PROPN
ejpam-2118	60	29	f	f	X
ejpam-2118	60	30	(	(	PUNCT
ejpam-2118	60	31	x	x	X
ejpam-2118	60	32	)	)	PUNCT
ejpam-2118	60	33	�	�	PROPN
ejpam-2118	60	34	�	�	PROPN
ejpam-2118	60	35	≤	≤	PROPN
ejpam-2118	60	36	m	m	VERB
ejpam-2118	60	37	|t	|t	VERB
ejpam-2118	61	1	−	−	NOUN
ejpam-2118	61	2	x	x	SYM
ejpam-2118	61	3	|µ	|µ	X
ejpam-2118	61	4	(	(	PUNCT
ejpam-2118	61	5	6	6	NUM
ejpam-2118	61	6	)	)	PUNCT
ejpam-2118	61	7	holds	hold	VERB
ejpam-2118	61	8	for	for	ADP
ejpam-2118	61	9	all	all	DET
ejpam-2118	61	10	t	t	PROPN
ejpam-2118	61	11	,	,	PUNCT
ejpam-2118	61	12	x	x	X
ejpam-2118	61	13	∈	∈	PROPN
ejpam-2118	62	1	[	[	X
ejpam-2118	62	2	0,1	0,1	NUM
ejpam-2118	62	3	]	]	SYM
ejpam-2118	62	4	4	4	X
ejpam-2118	62	5	.	.	PUNCT
ejpam-2118	62	6	let	let	VERB
ejpam-2118	62	7	ei	ei	PART
ejpam-2118	62	8	denote	denote	VERB
ejpam-2118	62	9	the	the	DET
ejpam-2118	62	10	test	test	NOUN
ejpam-2118	62	11	functions	function	NOUN
ejpam-2118	62	12	defined	define	VERB
ejpam-2118	62	13	by	by	ADP
ejpam-2118	62	14	ei(t	ei(t	NOUN
ejpam-2118	62	15	)	)	PUNCT
ejpam-2118	63	1	=	=	SYM
ejpam-2118	64	1	t	t	NOUN
ejpam-2118	65	1	i	i	PRON
ejpam-2118	65	2	,	,	PUNCT
ejpam-2118	66	1	t	t	PROPN
ejpam-2118	66	2	∈	∈	PROPN
ejpam-2118	66	3	r	r	X
ejpam-2118	66	4	,	,	PUNCT
ejpam-2118	66	5	i	i	NOUN
ejpam-2118	66	6	=	=	NOUN
ejpam-2118	66	7	0,1	0,1	NUM
ejpam-2118	66	8	,	,	PUNCT
ejpam-2118	66	9	2	2	NUM
ejpam-2118	66	10	,	,	PUNCT
ejpam-2118	66	11	.	.	PUNCT
ejpam-2118	66	12	.	.	PUNCT
ejpam-2118	67	1	..	..	PUNCT
ejpam-2118	67	2	theorem	theorem	VERB
ejpam-2118	67	3	1	1	NUM
ejpam-2118	67	4	(	(	PUNCT
ejpam-2118	67	5	korovkin	korovkin	NOUN
ejpam-2118	67	6	[	[	X
ejpam-2118	67	7	6	6	NUM
ejpam-2118	67	8	]	]	PUNCT
ejpam-2118	67	9	)	)	PUNCT
ejpam-2118	67	10	.	.	PUNCT
ejpam-2118	68	1	let	let	VERB
ejpam-2118	68	2	ln	ln	ADJ
ejpam-2118	68	3	:	:	PUNCT
ejpam-2118	68	4	c[a	c[a	NUM
ejpam-2118	68	5	,	,	PUNCT
ejpam-2118	68	6	b]→	b]→	X
ejpam-2118	68	7	c[a	c[a	PROPN
ejpam-2118	68	8	,	,	PUNCT
ejpam-2118	68	9	b	b	AUX
ejpam-2118	68	10	]	]	PUNCT
ejpam-2118	68	11	be	be	AUX
ejpam-2118	68	12	a	a	DET
ejpam-2118	68	13	sequence	sequence	NOUN
ejpam-2118	68	14	of	of	ADP
ejpam-2118	68	15	positive	positive	ADJ
ejpam-2118	68	16	linear	linear	NOUN
ejpam-2118	68	17	operators	operator	NOUN
ejpam-2118	68	18	.	.	PUNCT
ejpam-2118	69	1	if	if	SCONJ
ejpam-2118	69	2	lim	lim	PROPN
ejpam-2118	69	3	n→∞	n→∞	X
ejpam-2118	69	4	ln(ei	ln(ei	NOUN
ejpam-2118	69	5	;	;	PUNCT
ejpam-2118	69	6	x	x	X
ejpam-2118	69	7	)	)	PUNCT
ejpam-2118	69	8	=	=	SYM
ejpam-2118	69	9	ei(x	ei(x	NOUN
ejpam-2118	69	10	)	)	PUNCT
ejpam-2118	69	11	,	,	PUNCT
ejpam-2118	69	12	i	i	NOUN
ejpam-2118	69	13	=	=	NOUN
ejpam-2118	69	14	0,1	0,1	NUM
ejpam-2118	69	15	,	,	PUNCT
ejpam-2118	69	16	2	2	NUM
ejpam-2118	69	17	,	,	PUNCT
ejpam-2118	69	18	uniformly	uniformly	ADV
ejpam-2118	69	19	on	on	ADP
ejpam-2118	69	20	[	[	X
ejpam-2118	69	21	a	a	X
ejpam-2118	69	22	,	,	PUNCT
ejpam-2118	69	23	b	b	NOUN
ejpam-2118	69	24	]	]	X
ejpam-2118	69	25	,	,	PUNCT
ejpam-2118	69	26	then	then	ADV
ejpam-2118	69	27	lim	lim	PROPN
ejpam-2118	69	28	n→∞	n→∞	NUM
ejpam-2118	70	1	ln	ln	PROPN
ejpam-2118	70	2	(	(	PUNCT
ejpam-2118	70	3	f	f	NOUN
ejpam-2118	70	4	;	;	PUNCT
ejpam-2118	70	5	x	x	X
ejpam-2118	70	6	)	)	PUNCT
ejpam-2118	70	7	=	=	SYM
ejpam-2118	70	8	f	f	PROPN
ejpam-2118	70	9	(	(	PUNCT
ejpam-2118	70	10	x	x	NOUN
ejpam-2118	70	11	)	)	PUNCT
ejpam-2118	70	12	.	.	PUNCT
ejpam-2118	71	1	uniformly	uniformly	ADV
ejpam-2118	71	2	on	on	ADP
ejpam-2118	71	3	[	[	X
ejpam-2118	71	4	a	a	X
ejpam-2118	71	5	,	,	PUNCT
ejpam-2118	71	6	b	b	NOUN
ejpam-2118	71	7	]	]	X
ejpam-2118	71	8	,	,	PUNCT
ejpam-2118	71	9	for	for	ADP
ejpam-2118	71	10	every	every	DET
ejpam-2118	71	11	continuous	continuous	ADJ
ejpam-2118	71	12	function	function	NOUN
ejpam-2118	71	13	f	f	PROPN
ejpam-2118	71	14	defined	define	VERB
ejpam-2118	71	15	on	on	ADP
ejpam-2118	71	16	[	[	X
ejpam-2118	71	17	a	a	X
ejpam-2118	71	18	,	,	PUNCT
ejpam-2118	71	19	b	b	NOUN
ejpam-2118	71	20	]	]	X
ejpam-2118	71	21	.	.	PUNCT
ejpam-2118	72	1	4	4	X
ejpam-2118	72	2	.	.	X
ejpam-2118	72	3	approximation	approximation	NOUN
ejpam-2118	72	4	properties	property	NOUN
ejpam-2118	72	5	of	of	ADP
ejpam-2118	72	6	en	en	X
ejpam-2118	72	7	in	in	ADP
ejpam-2118	72	8	this	this	DET
ejpam-2118	72	9	section	section	NOUN
ejpam-2118	72	10	we	we	PRON
ejpam-2118	72	11	give	give	VERB
ejpam-2118	72	12	some	some	DET
ejpam-2118	72	13	classical	classical	ADJ
ejpam-2118	72	14	approximation	approximation	NOUN
ejpam-2118	72	15	properties	property	NOUN
ejpam-2118	72	16	of	of	ADP
ejpam-2118	72	17	the	the	DET
ejpam-2118	72	18	operators	operator	NOUN
ejpam-2118	72	19	en	en	X
ejpam-2118	72	20	.	.	PUNCT
ejpam-2118	73	1	by	by	ADP
ejpam-2118	73	2	simple	simple	ADJ
ejpam-2118	73	3	calculations	calculation	NOUN
ejpam-2118	73	4	,	,	PUNCT
ejpam-2118	73	5	we	we	PRON
ejpam-2118	73	6	get	get	VERB
ejpam-2118	73	7	the	the	DET
ejpam-2118	73	8	following	follow	VERB
ejpam-2118	73	9	lemmas	lemmas	PROPN
ejpam-2118	73	10	.	.	PUNCT
ejpam-2118	74	1	lemma	lemma	PROPN
ejpam-2118	74	2	1	1	NUM
ejpam-2118	74	3	.	.	PUNCT
ejpam-2118	75	1	for	for	ADP
ejpam-2118	75	2	x	x	PROPN
ejpam-2118	75	3	∈	∈	PROPN
ejpam-2118	75	4	[	[	X
ejpam-2118	75	5	0	0	NUM
ejpam-2118	75	6	,	,	PUNCT
ejpam-2118	75	7	1	1	NUM
ejpam-2118	75	8	]	]	PUNCT
ejpam-2118	75	9	and	and	CCONJ
ejpam-2118	75	10	n	n	PRON
ejpam-2118	75	11	∈	∈	PROPN
ejpam-2118	75	12	n	n	CCONJ
ejpam-2118	75	13	,	,	PUNCT
ejpam-2118	75	14	we	we	PRON
ejpam-2118	75	15	have	have	VERB
ejpam-2118	75	16	en(e0	en(e0	NOUN
ejpam-2118	75	17	;	;	PUNCT
ejpam-2118	75	18	x	x	X
ejpam-2118	75	19	)	)	PUNCT
ejpam-2118	75	20	=	=	SYM
ejpam-2118	75	21	1	1	NUM
ejpam-2118	75	22	;	;	PUNCT
ejpam-2118	75	23	en(e1	en(e1	NUM
ejpam-2118	75	24	;	;	PUNCT
ejpam-2118	75	25	x	x	X
ejpam-2118	75	26	)	)	PUNCT
ejpam-2118	76	1	=	=	SYM
ejpam-2118	76	2	x	x	X
ejpam-2118	76	3	;	;	PUNCT
ejpam-2118	76	4	en(e2	en(e2	NOUN
ejpam-2118	76	5	;	;	PUNCT
ejpam-2118	76	6	x	x	X
ejpam-2118	76	7	)	)	PUNCT
ejpam-2118	77	1	=	=	SYM
ejpam-2118	77	2	x2	x2	NOUN
ejpam-2118	77	3	+	+	X
ejpam-2118	77	4	(	(	PUNCT
ejpam-2118	77	5	1−	1−	NUM
ejpam-2118	77	6	x)(1−	x)(1−	PROPN
ejpam-2118	77	7	e−nx	e−nx	PROPN
ejpam-2118	77	8	)	)	PUNCT
ejpam-2118	77	9	nαn	nαn	NOUN
ejpam-2118	77	10	;	;	PUNCT
ejpam-2118	77	11	t.	t.	PROPN
ejpam-2118	77	12	tunç	tunç	PROPN
ejpam-2118	77	13	,	,	PUNCT
ejpam-2118	77	14	e.	e.	PROPN
ejpam-2118	77	15	şimşek	şimşek	PROPN
ejpam-2118	77	16	/	/	SYM
ejpam-2118	77	17	eur	eur	PROPN
ejpam-2118	77	18	.	.	PUNCT
ejpam-2118	78	1	j.	j.	PROPN
ejpam-2118	78	2	pure	pure	PROPN
ejpam-2118	78	3	appl	appl	PROPN
ejpam-2118	78	4	.	.	PROPN
ejpam-2118	78	5	math	math	PROPN
ejpam-2118	78	6	,	,	PUNCT
ejpam-2118	78	7	7	7	NUM
ejpam-2118	78	8	(	(	PUNCT
ejpam-2118	78	9	2014	2014	NUM
ejpam-2118	78	10	)	)	PUNCT
ejpam-2118	78	11	,	,	PUNCT
ejpam-2118	78	12	419	419	NUM
ejpam-2118	78	13	-	-	SYM
ejpam-2118	78	14	428	428	NUM
ejpam-2118	78	15	422	422	NUM
ejpam-2118	78	16	en(e3	en(e3	ADJ
ejpam-2118	78	17	;	;	PUNCT
ejpam-2118	78	18	x	x	X
ejpam-2118	78	19	)	)	PUNCT
ejpam-2118	79	1	=	=	SYM
ejpam-2118	79	2	x3	x3	NOUN
ejpam-2118	79	3	+	+	CCONJ
ejpam-2118	79	4	3x	3x	NUM
ejpam-2118	79	5	(	(	PUNCT
ejpam-2118	79	6	1−	1−	NUM
ejpam-2118	79	7	x	x	NOUN
ejpam-2118	79	8	)	)	PUNCT
ejpam-2118	79	9	�	�	PROPN
ejpam-2118	79	10	1−	1−	NUM
ejpam-2118	79	11	e−nx	e−nx	PROPN
ejpam-2118	79	12	�	�	PROPN
ejpam-2118	79	13	nαn	nαn	PROPN
ejpam-2118	79	14	+	+	CCONJ
ejpam-2118	79	15	(	(	PUNCT
ejpam-2118	79	16	1−	1−	NUM
ejpam-2118	79	17	x	x	NOUN
ejpam-2118	79	18	)	)	PUNCT
ejpam-2118	79	19	(	(	PUNCT
ejpam-2118	79	20	1−	1−	NUM
ejpam-2118	79	21	2x	2x	NUM
ejpam-2118	79	22	)	)	PUNCT
ejpam-2118	79	23	nα2	nα2	PROPN
ejpam-2118	79	24	n	n	CCONJ
ejpam-2118	79	25	∞	∞	PROPN
ejpam-2118	79	26	∑	∑	PROPN
ejpam-2118	79	27	m=1	m=1	PROPN
ejpam-2118	79	28	e−nx(nx)m	e−nx(nx)m	PROPN
ejpam-2118	79	29	m.m	m.m	PROPN
ejpam-2118	79	30	!	!	PROPN
ejpam-2118	79	31	;	;	PUNCT
ejpam-2118	79	32	en(e4	en(e4	NOUN
ejpam-2118	79	33	;	;	PUNCT
ejpam-2118	79	34	x	x	X
ejpam-2118	79	35	)	)	PUNCT
ejpam-2118	79	36	=	=	SYM
ejpam-2118	79	37	x4	x4	PROPN
ejpam-2118	79	38	+	+	CCONJ
ejpam-2118	79	39	6x2	6x2	NUM
ejpam-2118	79	40	(	(	PUNCT
ejpam-2118	79	41	1−	1−	NUM
ejpam-2118	79	42	x	x	NOUN
ejpam-2118	79	43	)	)	PUNCT
ejpam-2118	79	44	�	�	PROPN
ejpam-2118	79	45	1−	1−	NUM
ejpam-2118	79	46	e−nx	e−nx	PROPN
ejpam-2118	79	47	�	�	PROPN
ejpam-2118	79	48	nαn	nαn	PROPN
ejpam-2118	80	1	+	+	CCONJ
ejpam-2118	80	2	x	x	SYM
ejpam-2118	80	3	(	(	PUNCT
ejpam-2118	80	4	1−	1−	NUM
ejpam-2118	80	5	x	x	NOUN
ejpam-2118	80	6	)	)	PUNCT
ejpam-2118	80	7	(	(	PUNCT
ejpam-2118	80	8	7−	7−	NUM
ejpam-2118	80	9	11x	11x	NOUN
ejpam-2118	80	10	)	)	PUNCT
ejpam-2118	80	11	nα2	nα2	PROPN
ejpam-2118	80	12	n	n	CCONJ
ejpam-2118	80	13	∞	∞	PROPN
ejpam-2118	80	14	∑	∑	PROPN
ejpam-2118	80	15	m=1	m=1	PROPN
ejpam-2118	80	16	e−nx(nx)m	e−nx(nx)m	PROPN
ejpam-2118	80	17	m.m	m.m	PROPN
ejpam-2118	80	18	!	!	PROPN
ejpam-2118	81	1	+	+	CCONJ
ejpam-2118	81	2	(	(	PUNCT
ejpam-2118	81	3	1−	1−	NUM
ejpam-2118	81	4	x	x	NOUN
ejpam-2118	81	5	)	)	PUNCT
ejpam-2118	81	6	�	�	PROPN
ejpam-2118	81	7	6x2	6x2	NUM
ejpam-2118	81	8	−	−	NOUN
ejpam-2118	81	9	6x	6x	NOUN
ejpam-2118	81	10	+	+	CCONJ
ejpam-2118	81	11	1	1	NUM
ejpam-2118	81	12	�	�	PROPN
ejpam-2118	81	13	nα3	nα3	ADP
ejpam-2118	81	14	n	n	NUM
ejpam-2118	81	15	∞	∞	NUM
ejpam-2118	81	16	∑	∑	PROPN
ejpam-2118	81	17	m=1	m=1	PROPN
ejpam-2118	81	18	e−nx(nx)m	e−nx(nx)m	DET
ejpam-2118	81	19	m2	m2	PROPN
ejpam-2118	81	20	m	m	PROPN
ejpam-2118	81	21	!	!	PUNCT
ejpam-2118	81	22	.	.	PUNCT
ejpam-2118	82	1	lemma	lemma	PROPN
ejpam-2118	82	2	2	2	NUM
ejpam-2118	82	3	.	.	PUNCT
ejpam-2118	83	1	for	for	ADP
ejpam-2118	83	2	x	x	PROPN
ejpam-2118	83	3	∈	∈	PROPN
ejpam-2118	83	4	[	[	X
ejpam-2118	83	5	0,1	0,1	NUM
ejpam-2118	83	6	]	]	PUNCT
ejpam-2118	83	7	and	and	CCONJ
ejpam-2118	83	8	n	n	PRON
ejpam-2118	83	9	∈	∈	PROPN
ejpam-2118	83	10	n	n	CCONJ
ejpam-2118	83	11	,	,	PUNCT
ejpam-2118	83	12	the	the	DET
ejpam-2118	83	13	following	follow	VERB
ejpam-2118	83	14	holds	hold	VERB
ejpam-2118	83	15	:	:	PUNCT
ejpam-2118	83	16	en(e1	en(e1	NOUN
ejpam-2118	83	17	−	−	PROPN
ejpam-2118	84	1	x	x	SYM
ejpam-2118	84	2	;	;	PUNCT
ejpam-2118	84	3	x	x	X
ejpam-2118	84	4	)	)	PUNCT
ejpam-2118	84	5	=	=	SYM
ejpam-2118	84	6	0	0	NUM
ejpam-2118	84	7	,	,	PUNCT
ejpam-2118	84	8	en((e1	en((e1	PUNCT
ejpam-2118	85	1	−	−	NOUN
ejpam-2118	85	2	x)2	x)2	NOUN
ejpam-2118	85	3	;	;	PUNCT
ejpam-2118	85	4	x	x	X
ejpam-2118	85	5	)	)	PUNCT
ejpam-2118	85	6	=	=	SYM
ejpam-2118	86	1	(	(	PUNCT
ejpam-2118	86	2	1−	1−	NUM
ejpam-2118	86	3	x)(1−	x)(1−	PROPN
ejpam-2118	86	4	e−nx	e−nx	PROPN
ejpam-2118	86	5	)	)	PUNCT
ejpam-2118	86	6	nαn	nαn	NOUN
ejpam-2118	86	7	,	,	PUNCT
ejpam-2118	86	8	en((e1	en((e1	NOUN
ejpam-2118	87	1	−	−	NOUN
ejpam-2118	87	2	x)3	x)3	PROPN
ejpam-2118	87	3	;	;	PUNCT
ejpam-2118	87	4	x	x	X
ejpam-2118	87	5	)	)	PUNCT
ejpam-2118	87	6	=	=	SYM
ejpam-2118	87	7	(	(	PUNCT
ejpam-2118	87	8	1−	1−	NUM
ejpam-2118	87	9	x)(1−	x)(1−	PROPN
ejpam-2118	87	10	2x	2x	NUM
ejpam-2118	87	11	)	)	PUNCT
ejpam-2118	87	12	nα2	nα2	PROPN
ejpam-2118	87	13	n	n	CCONJ
ejpam-2118	87	14	∞	∞	PROPN
ejpam-2118	87	15	∑	∑	PROPN
ejpam-2118	87	16	m=1	m=1	PROPN
ejpam-2118	87	17	e−nx(nx)m	e−nx(nx)m	PROPN
ejpam-2118	87	18	m.m	m.m	PROPN
ejpam-2118	87	19	!	!	PROPN
ejpam-2118	87	20	,	,	PUNCT
ejpam-2118	87	21	en((e1	en((e1	PUNCT
ejpam-2118	88	1	−	−	PROPN
ejpam-2118	88	2	x)4	x)4	VERB
ejpam-2118	88	3	;	;	PUNCT
ejpam-2118	88	4	x	x	X
ejpam-2118	88	5	)	)	PUNCT
ejpam-2118	88	6	=	=	SYM
ejpam-2118	88	7	3x(1−	3x(1−	NUM
ejpam-2118	88	8	x)2	x)2	VERB
ejpam-2118	88	9	nα2	nα2	PROPN
ejpam-2118	88	10	n	n	CCONJ
ejpam-2118	88	11	∞	∞	PROPN
ejpam-2118	88	12	∑	∑	PROPN
ejpam-2118	88	13	m=1	m=1	PROPN
ejpam-2118	88	14	e−nx(nx)m	e−nx(nx)m	PROPN
ejpam-2118	88	15	m.m	m.m	PROPN
ejpam-2118	88	16	!	!	PROPN
ejpam-2118	89	1	+	+	CCONJ
ejpam-2118	89	2	(	(	PUNCT
ejpam-2118	89	3	1−	1−	NUM
ejpam-2118	89	4	x)(6x2	x)(6x2	NUM
ejpam-2118	89	5	−	−	PROPN
ejpam-2118	90	1	6x	6x	NOUN
ejpam-2118	91	1	+	+	NOUN
ejpam-2118	91	2	1	1	X
ejpam-2118	91	3	)	)	PUNCT
ejpam-2118	91	4	nα3	nα3	ADJ
ejpam-2118	91	5	n	n	ADV
ejpam-2118	91	6	∞	∞	NUM
ejpam-2118	91	7	∑	∑	PROPN
ejpam-2118	91	8	m=1	m=1	PROPN
ejpam-2118	91	9	e−nx(nx)m	e−nx(nx)m	DET
ejpam-2118	91	10	m2	m2	PROPN
ejpam-2118	91	11	m	m	PROPN
ejpam-2118	91	12	!	!	PUNCT
ejpam-2118	91	13	.	.	PUNCT
ejpam-2118	92	1	lemma	lemma	PROPN
ejpam-2118	92	2	3	3	X
ejpam-2118	92	3	.	.	PUNCT
ejpam-2118	93	1	for	for	ADP
ejpam-2118	93	2	all	all	DET
ejpam-2118	93	3	j	j	PROPN
ejpam-2118	93	4	∈	∈	PROPN
ejpam-2118	93	5	n0	n0	PROPN
ejpam-2118	93	6	,	,	PUNCT
ejpam-2118	93	7	we	we	PRON
ejpam-2118	93	8	have	have	VERB
ejpam-2118	93	9	∞	∞	PROPN
ejpam-2118	93	10	∑	∑	PROPN
ejpam-2118	93	11	m=1	m=1	PROPN
ejpam-2118	93	12	e−x	e−x	PROPN
ejpam-2118	93	13	xm	xm	PROPN
ejpam-2118	93	14	m	m	PROPN
ejpam-2118	93	15	jm	jm	PROPN
ejpam-2118	93	16	!	!	PROPN
ejpam-2118	93	17	≤	≤	PROPN
ejpam-2118	93	18	�	�	PROPN
ejpam-2118	93	19	j	j	PROPN
ejpam-2118	93	20	+	+	CCONJ
ejpam-2118	93	21	1	1	NUM
ejpam-2118	93	22	�	�	PROPN
ejpam-2118	93	23	!	!	PUNCT
ejpam-2118	94	1	x	x	X
ejpam-2118	95	1	j	j	NOUN
ejpam-2118	95	2	,	,	PUNCT
ejpam-2118	95	3	x	x	PUNCT
ejpam-2118	95	4	∈	∈	PROPN
ejpam-2118	95	5	(	(	PUNCT
ejpam-2118	95	6	0,∞	0,∞	NOUN
ejpam-2118	95	7	)	)	PUNCT
ejpam-2118	95	8	.	.	PUNCT
ejpam-2118	96	1	lemma	lemma	PROPN
ejpam-2118	96	2	4	4	NUM
ejpam-2118	96	3	.	.	PUNCT
ejpam-2118	97	1	for	for	ADP
ejpam-2118	97	2	all	all	DET
ejpam-2118	97	3	n	n	PRON
ejpam-2118	97	4	∈	∈	PROPN
ejpam-2118	97	5	n	n	CCONJ
ejpam-2118	97	6	,	,	PUNCT
ejpam-2118	97	7	we	we	PRON
ejpam-2118	97	8	have	have	VERB
ejpam-2118	97	9	en	en	ADP
ejpam-2118	97	10	�	�	PROPN
ejpam-2118	97	11	�	�	PROPN
ejpam-2118	97	12	e1	e1	PROPN
ejpam-2118	97	13	−	−	NOUN
ejpam-2118	97	14	x	x	SYM
ejpam-2118	97	15	�	�	PROPN
ejpam-2118	97	16	4	4	NUM
ejpam-2118	97	17	;	;	PUNCT
ejpam-2118	97	18	x	x	PART
ejpam-2118	97	19	�	�	PROPN
ejpam-2118	97	20	≤	≤	PROPN
ejpam-2118	97	21	cn	cn	PROPN
ejpam-2118	97	22	(	(	PUNCT
ejpam-2118	97	23	x	x	NOUN
ejpam-2118	97	24	)	)	PUNCT
ejpam-2118	97	25	�	�	PROPN
ejpam-2118	97	26	1	1	NUM
ejpam-2118	97	27	nαn	nαn	PROPN
ejpam-2118	97	28	�	�	PROPN
ejpam-2118	97	29	2	2	NUM
ejpam-2118	97	30	,	,	PUNCT
ejpam-2118	97	31	x	x	X
ejpam-2118	97	32	∈	∈	PROPN
ejpam-2118	97	33	(	(	PUNCT
ejpam-2118	97	34	0,1	0,1	NOUN
ejpam-2118	97	35	]	]	PUNCT
ejpam-2118	97	36	where	where	SCONJ
ejpam-2118	97	37	limn→∞	limn→∞	PROPN
ejpam-2118	97	38	cn(x	cn(x	X
ejpam-2118	97	39	)	)	PUNCT
ejpam-2118	97	40	=	=	SYM
ejpam-2118	97	41	6	6	X
ejpam-2118	97	42	.	.	PUNCT
ejpam-2118	98	1	proof	proof	NOUN
ejpam-2118	98	2	.	.	PUNCT
ejpam-2118	99	1	for	for	ADP
ejpam-2118	99	2	x	x	PROPN
ejpam-2118	99	3	∈	∈	PROPN
ejpam-2118	99	4	(	(	PUNCT
ejpam-2118	99	5	0,1	0,1	NOUN
ejpam-2118	99	6	]	]	PUNCT
ejpam-2118	99	7	.	.	PUNCT
ejpam-2118	100	1	by	by	ADP
ejpam-2118	100	2	lemma	lemma	PROPN
ejpam-2118	100	3	2	2	PROPN
ejpam-2118	100	4	and	and	CCONJ
ejpam-2118	100	5	lemma	lemma	PROPN
ejpam-2118	100	6	3	3	NUM
ejpam-2118	100	7	,	,	PUNCT
ejpam-2118	100	8	it	it	PRON
ejpam-2118	100	9	results	result	VERB
ejpam-2118	100	10	that	that	SCONJ
ejpam-2118	100	11	en	en	PROPN
ejpam-2118	100	12	�	�	PROPN
ejpam-2118	100	13	�	�	PROPN
ejpam-2118	100	14	e1	e1	PROPN
ejpam-2118	100	15	−	−	NOUN
ejpam-2118	100	16	x	x	SYM
ejpam-2118	100	17	�	�	PROPN
ejpam-2118	100	18	4	4	NUM
ejpam-2118	100	19	;	;	PUNCT
ejpam-2118	100	20	x	x	PART
ejpam-2118	100	21	�	�	PROPN
ejpam-2118	100	22	≤	≤	NUM
ejpam-2118	100	23	3x(1−	3x(1−	NUM
ejpam-2118	100	24	x)2	x)2	VERB
ejpam-2118	100	25	nα2	nα2	NOUN
ejpam-2118	100	26	n	n	PRON
ejpam-2118	100	27	2	2	NUM
ejpam-2118	100	28	!	!	NUM
ejpam-2118	100	29	nx	nx	PROPN
ejpam-2118	101	1	+	+	CCONJ
ejpam-2118	101	2	(	(	PUNCT
ejpam-2118	101	3	1−	1−	NUM
ejpam-2118	101	4	x	x	NOUN
ejpam-2118	101	5	)	)	PUNCT
ejpam-2118	101	6	�	�	PROPN
ejpam-2118	101	7	6x2	6x2	NUM
ejpam-2118	101	8	−	−	NOUN
ejpam-2118	101	9	6x	6x	NOUN
ejpam-2118	101	10	+	+	CCONJ
ejpam-2118	101	11	1	1	NUM
ejpam-2118	101	12	�	�	PROPN
ejpam-2118	101	13	nα3	nα3	PROPN
ejpam-2118	101	14	n	n	PROPN
ejpam-2118	101	15	3	3	NUM
ejpam-2118	101	16	!	!	PUNCT
ejpam-2118	102	1	n2	n2	PROPN
ejpam-2118	102	2	x2	x2	PROPN
ejpam-2118	102	3	≤	≤	PROPN
ejpam-2118	102	4	�	�	PROPN
ejpam-2118	102	5	1	1	NUM
ejpam-2118	102	6	nαn	nαn	PROPN
ejpam-2118	102	7	�	�	PROPN
ejpam-2118	102	8	2	2	NUM
ejpam-2118	102	9	�	�	PROPN
ejpam-2118	102	10	6	6	NUM
ejpam-2118	102	11	+	+	NUM
ejpam-2118	102	12	6x2	6x2	NUM
ejpam-2118	102	13	−	−	NOUN
ejpam-2118	102	14	6x	6x	NOUN
ejpam-2118	102	15	+	+	NOUN
ejpam-2118	102	16	1	1	NUM
ejpam-2118	102	17	x2nαn	x2nαn	NUM
ejpam-2118	102	18	�	�	PROPN
ejpam-2118	102	19	=	=	SYM
ejpam-2118	102	20	�	�	PROPN
ejpam-2118	102	21	1	1	NUM
ejpam-2118	102	22	nαn	nαn	PROPN
ejpam-2118	102	23	�	�	PROPN
ejpam-2118	102	24	2	2	NUM
ejpam-2118	102	25	cn	cn	PROPN
ejpam-2118	102	26	(	(	PUNCT
ejpam-2118	102	27	x	x	NOUN
ejpam-2118	102	28	)	)	PUNCT
ejpam-2118	102	29	theorem	theorem	NOUN
ejpam-2118	102	30	2	2	NUM
ejpam-2118	102	31	.	.	PUNCT
ejpam-2118	103	1	if	if	SCONJ
ejpam-2118	103	2	f	f	PROPN
ejpam-2118	103	3	∈	∈	PROPN
ejpam-2118	103	4	c[0	c[0	PROPN
ejpam-2118	103	5	,	,	PUNCT
ejpam-2118	103	6	1	1	NUM
ejpam-2118	103	7	]	]	PUNCT
ejpam-2118	103	8	,	,	PUNCT
ejpam-2118	103	9	then	then	ADV
ejpam-2118	103	10	the	the	DET
ejpam-2118	103	11	sequence	sequence	NOUN
ejpam-2118	103	12	of	of	ADP
ejpam-2118	103	13	positive	positive	ADJ
ejpam-2118	103	14	linear	linear	PROPN
ejpam-2118	103	15	operators	operator	NOUN
ejpam-2118	103	16	�	�	PROPN
ejpam-2118	103	17	en	en	ADP
ejpam-2118	103	18	converges	converge	VERB
ejpam-2118	103	19	uniformly	uniformly	ADV
ejpam-2118	103	20	to	to	ADP
ejpam-2118	103	21	f	f	PROPN
ejpam-2118	103	22	on	on	ADP
ejpam-2118	103	23	[	[	X
ejpam-2118	103	24	0	0	NUM
ejpam-2118	103	25	,	,	PUNCT
ejpam-2118	103	26	1	1	NUM
ejpam-2118	103	27	]	]	PUNCT
ejpam-2118	103	28	.	.	PUNCT
ejpam-2118	104	1	t.	t.	PROPN
ejpam-2118	104	2	tunç	tunç	PROPN
ejpam-2118	104	3	,	,	PUNCT
ejpam-2118	104	4	e.	e.	PROPN
ejpam-2118	104	5	şimşek	şimşek	PROPN
ejpam-2118	104	6	/	/	SYM
ejpam-2118	104	7	eur	eur	PROPN
ejpam-2118	104	8	.	.	PUNCT
ejpam-2118	105	1	j.	j.	PROPN
ejpam-2118	105	2	pure	pure	PROPN
ejpam-2118	105	3	appl	appl	PROPN
ejpam-2118	105	4	.	.	PROPN
ejpam-2118	105	5	math	math	PROPN
ejpam-2118	105	6	,	,	PUNCT
ejpam-2118	105	7	7	7	NUM
ejpam-2118	105	8	(	(	PUNCT
ejpam-2118	105	9	2014	2014	NUM
ejpam-2118	105	10	)	)	PUNCT
ejpam-2118	105	11	,	,	PUNCT
ejpam-2118	105	12	419	419	NUM
ejpam-2118	105	13	-	-	SYM
ejpam-2118	105	14	428	428	NUM
ejpam-2118	105	15	423	423	NUM
ejpam-2118	105	16	proof	proof	NOUN
ejpam-2118	105	17	.	.	PUNCT
ejpam-2118	106	1	from	from	ADP
ejpam-2118	106	2	lemma	lemma	PROPN
ejpam-2118	106	3	1	1	NUM
ejpam-2118	106	4	,	,	PUNCT
ejpam-2118	106	5	we	we	PRON
ejpam-2118	106	6	get	get	VERB
ejpam-2118	106	7	en	en	ADP
ejpam-2118	106	8	�	�	X
ejpam-2118	106	9	ei	ei	X
ejpam-2118	106	10	�	�	PROPN
ejpam-2118	106	11	[	[	X
ejpam-2118	106	12	0,1	0,1	NUM
ejpam-2118	106	13	]	]	X
ejpam-2118	106	14	⇒	⇒	NOUN
ejpam-2118	106	15	ei	ei	X
ejpam-2118	106	16	i	i	NOUN
ejpam-2118	106	17	=	=	NOUN
ejpam-2118	106	18	0	0	NUM
ejpam-2118	106	19	,	,	PUNCT
ejpam-2118	106	20	1,2	1,2	NUM
ejpam-2118	106	21	n→∞.	n→∞.	PUNCT
ejpam-2118	106	22	then	then	ADV
ejpam-2118	106	23	,	,	PUNCT
ejpam-2118	106	24	using	use	VERB
ejpam-2118	106	25	korovkin	korovkin	PROPN
ejpam-2118	106	26	’s	’s	PART
ejpam-2118	106	27	theorem	theorem	PROPN
ejpam-2118	106	28	,	,	PUNCT
ejpam-2118	106	29	we	we	PRON
ejpam-2118	106	30	can	can	AUX
ejpam-2118	106	31	conclude	conclude	VERB
ejpam-2118	106	32	that	that	SCONJ
ejpam-2118	106	33	en	en	PROPN
ejpam-2118	106	34	�	�	PROPN
ejpam-2118	106	35	f	f	PROPN
ejpam-2118	106	36	�	�	PROPN
ejpam-2118	107	1	[	[	X
ejpam-2118	107	2	0,1	0,1	NUM
ejpam-2118	107	3	]	]	PUNCT
ejpam-2118	107	4	⇒	⇒	PROPN
ejpam-2118	107	5	f	f	PROPN
ejpam-2118	107	6	,	,	PUNCT
ejpam-2118	107	7	n→∞.	n→∞.	PROPN
ejpam-2118	107	8	where	where	SCONJ
ejpam-2118	107	9	,	,	PUNCT
ejpam-2118	107	10	the	the	DET
ejpam-2118	107	11	symbol	symbol	NOUN
ejpam-2118	107	12	[	[	X
ejpam-2118	107	13	0,1	0,1	NUM
ejpam-2118	107	14	]	]	PUNCT
ejpam-2118	107	15	⇒	⇒	PROPN
ejpam-2118	107	16	shows	show	VERB
ejpam-2118	107	17	the	the	DET
ejpam-2118	107	18	uniform	uniform	ADJ
ejpam-2118	107	19	convergence	convergence	NOUN
ejpam-2118	107	20	on	on	ADP
ejpam-2118	107	21	[	[	X
ejpam-2118	107	22	0,1	0,1	NUM
ejpam-2118	107	23	]	]	PUNCT
ejpam-2118	107	24	.	.	PUNCT
ejpam-2118	108	1	5	5	X
ejpam-2118	108	2	.	.	X
ejpam-2118	108	3	voronovskaya	voronovskaya	NOUN
ejpam-2118	108	4	-	-	PUNCT
ejpam-2118	108	5	type	type	NOUN
ejpam-2118	108	6	theorem	theorem	NOUN
ejpam-2118	108	7	the	the	DET
ejpam-2118	108	8	voronovskaya	voronovskaya	NOUN
ejpam-2118	108	9	theorem	theorem	NOUN
ejpam-2118	108	10	for	for	ADP
ejpam-2118	108	11	the	the	DET
ejpam-2118	108	12	bernstein	bernstein	PROPN
ejpam-2118	108	13	operators	operators	PROPN
ejpam-2118	108	14	is	be	AUX
ejpam-2118	108	15	given	give	VERB
ejpam-2118	108	16	in	in	ADP
ejpam-2118	108	17	[	[	X
ejpam-2118	108	18	7	7	NUM
ejpam-2118	108	19	]	]	PUNCT
ejpam-2118	108	20	or	or	CCONJ
ejpam-2118	108	21	[	[	X
ejpam-2118	108	22	6	6	NUM
ejpam-2118	108	23	]	]	PUNCT
ejpam-2118	108	24	.	.	PUNCT
ejpam-2118	109	1	also	also	ADV
ejpam-2118	109	2	,	,	PUNCT
ejpam-2118	109	3	for	for	ADP
ejpam-2118	109	4	the	the	DET
ejpam-2118	109	5	sequence	sequence	NOUN
ejpam-2118	109	6	of	of	ADP
ejpam-2118	109	7	positive	positive	ADJ
ejpam-2118	109	8	linear	linear	NOUN
ejpam-2118	109	9	operators	operator	NOUN
ejpam-2118	109	10	can	can	AUX
ejpam-2118	109	11	be	be	AUX
ejpam-2118	109	12	found	find	VERB
ejpam-2118	109	13	in	in	ADP
ejpam-2118	109	14	[	[	X
ejpam-2118	109	15	3	3	NUM
ejpam-2118	109	16	,	,	PUNCT
ejpam-2118	109	17	13	13	NUM
ejpam-2118	109	18	]	]	PUNCT
ejpam-2118	109	19	.	.	PUNCT
ejpam-2118	110	1	theorem	theorem	NOUN
ejpam-2118	110	2	3	3	X
ejpam-2118	110	3	.	.	PUNCT
ejpam-2118	111	1	if	if	SCONJ
ejpam-2118	111	2	f	f	PROPN
ejpam-2118	111	3	∈	∈	PROPN
ejpam-2118	111	4	c2[0	c2[0	PROPN
ejpam-2118	111	5	,	,	PUNCT
ejpam-2118	111	6	1	1	NUM
ejpam-2118	111	7	]	]	PUNCT
ejpam-2118	111	8	,	,	PUNCT
ejpam-2118	111	9	then	then	ADV
ejpam-2118	111	10	lim	lim	PROPN
ejpam-2118	111	11	n→∞	n→∞	NUM
ejpam-2118	111	12	n.αn	n.αn	PROPN
ejpam-2118	111	13	�	�	PROPN
ejpam-2118	111	14	en	en	X
ejpam-2118	111	15	�	�	PROPN
ejpam-2118	111	16	f	f	PROPN
ejpam-2118	111	17	;	;	PUNCT
ejpam-2118	111	18	x	x	PART
ejpam-2118	111	19	�	�	PROPN
ejpam-2118	111	20	−	−	PROPN
ejpam-2118	111	21	f	f	PROPN
ejpam-2118	111	22	(	(	PUNCT
ejpam-2118	111	23	x	x	NOUN
ejpam-2118	111	24	)	)	PUNCT
ejpam-2118	111	25	�	�	PROPN
ejpam-2118	111	26	=	=	NOUN
ejpam-2118	111	27	1	1	NUM
ejpam-2118	111	28	2	2	NUM
ejpam-2118	111	29	(	(	PUNCT
ejpam-2118	111	30	1−	1−	NUM
ejpam-2118	111	31	x	x	NOUN
ejpam-2118	111	32	)	)	PUNCT
ejpam-2118	111	33	f	f	PROPN
ejpam-2118	112	1	′′	′′	PROPN
ejpam-2118	112	2	(	(	PUNCT
ejpam-2118	112	3	x	x	X
ejpam-2118	112	4	)	)	PUNCT
ejpam-2118	112	5	for	for	ADP
ejpam-2118	112	6	every	every	DET
ejpam-2118	112	7	fixed	fix	VERB
ejpam-2118	112	8	x	x	SYM
ejpam-2118	112	9	∈	∈	PROPN
ejpam-2118	112	10	[	[	X
ejpam-2118	112	11	0,1	0,1	NUM
ejpam-2118	112	12	]	]	PUNCT
ejpam-2118	112	13	.	.	PUNCT
ejpam-2118	113	1	proof	proof	NOUN
ejpam-2118	113	2	.	.	PUNCT
ejpam-2118	114	1	we	we	PRON
ejpam-2118	114	2	use	use	VERB
ejpam-2118	114	3	the	the	DET
ejpam-2118	114	4	taylor	taylor	NOUN
ejpam-2118	114	5	formula	formula	NOUN
ejpam-2118	114	6	for	for	ADP
ejpam-2118	114	7	a	a	DET
ejpam-2118	114	8	fixed	fix	VERB
ejpam-2118	114	9	point	point	NOUN
ejpam-2118	114	10	x0	x0	PROPN
ejpam-2118	114	11	∈	∈	PROPN
ejpam-2118	115	1	[	[	X
ejpam-2118	115	2	0	0	NUM
ejpam-2118	115	3	,	,	PUNCT
ejpam-2118	115	4	1	1	NUM
ejpam-2118	115	5	]	]	PUNCT
ejpam-2118	115	6	.	.	PUNCT
ejpam-2118	116	1	for	for	ADP
ejpam-2118	116	2	all	all	DET
ejpam-2118	116	3	t	t	NOUN
ejpam-2118	116	4	∈	∈	PROPN
ejpam-2118	117	1	[	[	X
ejpam-2118	117	2	0	0	NUM
ejpam-2118	117	3	,	,	PUNCT
ejpam-2118	117	4	1	1	NUM
ejpam-2118	117	5	]	]	PUNCT
ejpam-2118	117	6	,	,	PUNCT
ejpam-2118	117	7	we	we	PRON
ejpam-2118	117	8	have	have	VERB
ejpam-2118	117	9	f	f	PROPN
ejpam-2118	117	10	(	(	PUNCT
ejpam-2118	117	11	t	t	PROPN
ejpam-2118	117	12	)	)	PUNCT
ejpam-2118	117	13	=	=	SYM
ejpam-2118	117	14	f	f	PROPN
ejpam-2118	117	15	�	�	PROPN
ejpam-2118	117	16	x0	x0	PROPN
ejpam-2118	117	17	�	�	PROPN
ejpam-2118	118	1	+	+	CCONJ
ejpam-2118	118	2	f	f	PROPN
ejpam-2118	118	3	′	′	NUM
ejpam-2118	118	4	�	�	PROPN
ejpam-2118	118	5	x0	x0	PROPN
ejpam-2118	118	6	�	�	PROPN
ejpam-2118	118	7	�	�	PROPN
ejpam-2118	118	8	t	t	PROPN
ejpam-2118	118	9	−	−	PROPN
ejpam-2118	118	10	x0	x0	PROPN
ejpam-2118	118	11	�	�	PROPN
ejpam-2118	119	1	+	+	CCONJ
ejpam-2118	119	2	1	1	NUM
ejpam-2118	119	3	2	2	NUM
ejpam-2118	119	4	f	f	NOUN
ejpam-2118	119	5	′′	′′	PROPN
ejpam-2118	119	6	�	�	PROPN
ejpam-2118	119	7	x0	x0	PROPN
ejpam-2118	119	8	�	�	PROPN
ejpam-2118	119	9	�	�	PROPN
ejpam-2118	119	10	t	t	PROPN
ejpam-2118	119	11	−	−	PROPN
ejpam-2118	119	12	x0	x0	PROPN
ejpam-2118	119	13	�	�	PROPN
ejpam-2118	119	14	2	2	NUM
ejpam-2118	119	15	+	+	CCONJ
ejpam-2118	119	16	g	g	PROPN
ejpam-2118	119	17	�	�	PROPN
ejpam-2118	119	18	t	t	PROPN
ejpam-2118	119	19	;	;	PUNCT
ejpam-2118	119	20	x0	x0	PROPN
ejpam-2118	119	21	�	�	PROPN
ejpam-2118	119	22	�	�	PROPN
ejpam-2118	119	23	t	t	PROPN
ejpam-2118	119	24	−	−	PROPN
ejpam-2118	120	1	x0	x0	PROPN
ejpam-2118	120	2	�	�	PROPN
ejpam-2118	120	3	2	2	NUM
ejpam-2118	120	4	where	where	SCONJ
ejpam-2118	120	5	g(t	g(t	PROPN
ejpam-2118	120	6	;	;	PUNCT
ejpam-2118	120	7	x0	x0	PROPN
ejpam-2118	120	8	)	)	PUNCT
ejpam-2118	120	9	is	be	AUX
ejpam-2118	120	10	the	the	DET
ejpam-2118	120	11	peano	peano	NOUN
ejpam-2118	120	12	form	form	NOUN
ejpam-2118	120	13	of	of	ADP
ejpam-2118	120	14	the	the	DET
ejpam-2118	120	15	remainder	remainder	NOUN
ejpam-2118	120	16	,	,	PUNCT
ejpam-2118	120	17	g	g	PROPN
ejpam-2118	120	18	(	(	PUNCT
ejpam-2118	120	19	.	.	PUNCT
ejpam-2118	120	20	;	;	PUNCT
ejpam-2118	120	21	x0	x0	PROPN
ejpam-2118	120	22	)	)	PUNCT
ejpam-2118	120	23	∈	∈	PROPN
ejpam-2118	120	24	c2[0,1	c2[0,1	NOUN
ejpam-2118	120	25	]	]	PUNCT
ejpam-2118	120	26	and	and	CCONJ
ejpam-2118	120	27	lim	lim	PROPN
ejpam-2118	120	28	t→x0	t→x0	PROPN
ejpam-2118	120	29	g(t	g(t	PROPN
ejpam-2118	120	30	;	;	PUNCT
ejpam-2118	120	31	x0	x0	NUM
ejpam-2118	120	32	)	)	PUNCT
ejpam-2118	120	33	=	=	SYM
ejpam-2118	120	34	0	0	X
ejpam-2118	120	35	.	.	PUNCT
ejpam-2118	121	1	because	because	SCONJ
ejpam-2118	121	2	en(e0	en(e0	NOUN
ejpam-2118	121	3	;	;	PUNCT
ejpam-2118	121	4	x	x	X
ejpam-2118	121	5	)	)	PUNCT
ejpam-2118	121	6	=	=	SYM
ejpam-2118	121	7	1	1	NUM
ejpam-2118	121	8	,	,	PUNCT
ejpam-2118	121	9	then	then	ADV
ejpam-2118	121	10	en	en	PROPN
ejpam-2118	121	11	�	�	PROPN
ejpam-2118	121	12	f	f	PROPN
ejpam-2118	121	13	;	;	PUNCT
ejpam-2118	121	14	x0	x0	PROPN
ejpam-2118	121	15	�	�	PROPN
ejpam-2118	121	16	−	−	PROPN
ejpam-2118	121	17	f	f	PROPN
ejpam-2118	121	18	�	�	PROPN
ejpam-2118	121	19	x0	x0	PROPN
ejpam-2118	121	20	�	�	PROPN
ejpam-2118	122	1	=	=	SYM
ejpam-2118	122	2	f	f	PROPN
ejpam-2118	122	3	′	′	NUM
ejpam-2118	122	4	�	�	PROPN
ejpam-2118	122	5	x0	x0	PROPN
ejpam-2118	122	6	�	�	PROPN
ejpam-2118	122	7	en	en	ADP
ejpam-2118	122	8	�	�	PROPN
ejpam-2118	122	9	�	�	PROPN
ejpam-2118	122	10	e1	e1	PROPN
ejpam-2118	122	11	−	−	PROPN
ejpam-2118	122	12	x0	x0	PROPN
ejpam-2118	122	13	�	�	PROPN
ejpam-2118	122	14	;	;	PUNCT
ejpam-2118	122	15	x0	x0	PROPN
ejpam-2118	122	16	�	�	PROPN
ejpam-2118	123	1	+	+	CCONJ
ejpam-2118	123	2	1	1	NUM
ejpam-2118	123	3	2	2	NUM
ejpam-2118	123	4	f	f	NOUN
ejpam-2118	123	5	′′	′′	PROPN
ejpam-2118	123	6	�	�	PROPN
ejpam-2118	123	7	x0	x0	PROPN
ejpam-2118	123	8	�	�	PROPN
ejpam-2118	123	9	en	en	ADP
ejpam-2118	123	10	�	�	PROPN
ejpam-2118	123	11	�	�	PROPN
ejpam-2118	123	12	e1	e1	PROPN
ejpam-2118	123	13	−	−	PROPN
ejpam-2118	123	14	x0	x0	PROPN
ejpam-2118	123	15	�	�	PROPN
ejpam-2118	123	16	2	2	NUM
ejpam-2118	123	17	;	;	PUNCT
ejpam-2118	123	18	x0	x0	PROPN
ejpam-2118	123	19	�	�	PROPN
ejpam-2118	123	20	+	+	CCONJ
ejpam-2118	123	21	en	en	PROPN
ejpam-2118	123	22	�	�	PROPN
ejpam-2118	123	23	g	g	PROPN
ejpam-2118	123	24	�	�	PROPN
ejpam-2118	123	25	·	·	PUNCT
ejpam-2118	123	26	,	,	PUNCT
ejpam-2118	123	27	x0	x0	PROPN
ejpam-2118	123	28	�	�	PROPN
ejpam-2118	123	29	·	·	PUNCT
ejpam-2118	123	30	�	�	PROPN
ejpam-2118	123	31	e1	e1	PROPN
ejpam-2118	123	32	−	−	PROPN
ejpam-2118	123	33	x0	x0	PROPN
ejpam-2118	123	34	�	�	PROPN
ejpam-2118	123	35	2	2	NUM
ejpam-2118	123	36	;	;	PUNCT
ejpam-2118	123	37	x0	x0	PROPN
ejpam-2118	123	38	�	�	PROPN
ejpam-2118	123	39	by	by	ADP
ejpam-2118	123	40	cauchy	cauchy	PROPN
ejpam-2118	123	41	-	-	PUNCT
ejpam-2118	123	42	schwartz	schwartz	PROPN
ejpam-2118	123	43	’s	’s	PART
ejpam-2118	123	44	inequality	inequality	NOUN
ejpam-2118	123	45	,	,	PUNCT
ejpam-2118	123	46	we	we	PRON
ejpam-2118	123	47	have	have	VERB
ejpam-2118	123	48	nαnen	nαnen	PROPN
ejpam-2118	123	49	�	�	PROPN
ejpam-2118	123	50	g	g	PROPN
ejpam-2118	123	51	�	�	PROPN
ejpam-2118	123	52	·	·	PUNCT
ejpam-2118	123	53	,	,	PUNCT
ejpam-2118	123	54	x0	x0	PROPN
ejpam-2118	123	55	�	�	PROPN
ejpam-2118	123	56	�	�	PROPN
ejpam-2118	123	57	e1	e1	PROPN
ejpam-2118	123	58	−	−	PROPN
ejpam-2118	123	59	x0	x0	PROPN
ejpam-2118	123	60	�	�	PROPN
ejpam-2118	123	61	2	2	NUM
ejpam-2118	123	62	;	;	PUNCT
ejpam-2118	123	63	x0	x0	PROPN
ejpam-2118	123	64	�	�	PROPN
ejpam-2118	123	65	≤	≤	NUM
ejpam-2118	123	66	�	�	PROPN
ejpam-2118	123	67	n2α2	n2α2	PROPN
ejpam-2118	123	68	nen	nen	PROPN
ejpam-2118	123	69	�	�	PROPN
ejpam-2118	123	70	�	�	PROPN
ejpam-2118	123	71	e1	e1	PROPN
ejpam-2118	123	72	−	−	PROPN
ejpam-2118	123	73	x0	x0	PROPN
ejpam-2118	123	74	�	�	PROPN
ejpam-2118	123	75	4	4	NUM
ejpam-2118	123	76	;	;	PUNCT
ejpam-2118	123	77	x0	x0	PROPN
ejpam-2118	123	78	�	�	PROPN
ejpam-2118	123	79	�	�	PROPN
ejpam-2118	123	80	1/2	1/2	NUM
ejpam-2118	123	81	·	·	PUNCT
ejpam-2118	123	82	�	�	PROPN
ejpam-2118	123	83	en	en	ADP
ejpam-2118	123	84	�	�	PROPN
ejpam-2118	123	85	g2	g2	PROPN
ejpam-2118	123	86	�	�	PROPN
ejpam-2118	123	87	·	·	PUNCT
ejpam-2118	123	88	,	,	PUNCT
ejpam-2118	123	89	x0	x0	PROPN
ejpam-2118	123	90	�	�	PROPN
ejpam-2118	123	91	;	;	PUNCT
ejpam-2118	123	92	x0	x0	PROPN
ejpam-2118	123	93	�	�	PROPN
ejpam-2118	123	94	�	�	PROPN
ejpam-2118	123	95	1/2	1/2	NUM
ejpam-2118	123	96	the	the	DET
ejpam-2118	123	97	function	function	NOUN
ejpam-2118	123	98	ϕ(t	ϕ(t	PROPN
ejpam-2118	123	99	;	;	PUNCT
ejpam-2118	123	100	x0	x0	NUM
ejpam-2118	123	101	)	)	PUNCT
ejpam-2118	123	102	=	=	SYM
ejpam-2118	124	1	g2(t	g2(t	PROPN
ejpam-2118	124	2	;	;	PUNCT
ejpam-2118	124	3	x0	x0	PROPN
ejpam-2118	124	4	)	)	PUNCT
ejpam-2118	124	5	,	,	PUNCT
ejpam-2118	124	6	t	t	PROPN
ejpam-2118	124	7	≥	≥	NUM
ejpam-2118	124	8	0	0	NUM
ejpam-2118	124	9	,	,	PUNCT
ejpam-2118	124	10	satisfies	satisfy	VERB
ejpam-2118	124	11	the	the	DET
ejpam-2118	124	12	conditions	condition	NOUN
ejpam-2118	124	13	of	of	ADP
ejpam-2118	124	14	teorem	teorem	ADJ
ejpam-2118	124	15	2	2	NUM
ejpam-2118	124	16	;	;	PUNCT
ejpam-2118	124	17	therefore	therefore	ADV
ejpam-2118	124	18	lim	lim	PROPN
ejpam-2118	124	19	n→∞	n→∞	X
ejpam-2118	124	20	en(g	en(g	NUM
ejpam-2118	124	21	2(t	2(t	NUM
ejpam-2118	124	22	;	;	PUNCT
ejpam-2118	124	23	x0	x0	PROPN
ejpam-2118	124	24	)	)	PUNCT
ejpam-2118	124	25	;	;	PUNCT
ejpam-2118	124	26	x0	x0	PROPN
ejpam-2118	124	27	)	)	PUNCT
ejpam-2118	125	1	=	=	SYM
ejpam-2118	125	2	0	0	NUM
ejpam-2118	126	1	t.	t.	PROPN
ejpam-2118	126	2	tunç	tunç	PROPN
ejpam-2118	126	3	,	,	PUNCT
ejpam-2118	126	4	e.	e.	PROPN
ejpam-2118	126	5	şimşek	şimşek	PROPN
ejpam-2118	126	6	/	/	SYM
ejpam-2118	126	7	eur	eur	PROPN
ejpam-2118	126	8	.	.	PUNCT
ejpam-2118	127	1	j.	j.	PROPN
ejpam-2118	127	2	pure	pure	PROPN
ejpam-2118	127	3	appl	appl	PROPN
ejpam-2118	127	4	.	.	PROPN
ejpam-2118	127	5	math	math	PROPN
ejpam-2118	127	6	,	,	PUNCT
ejpam-2118	127	7	7	7	NUM
ejpam-2118	127	8	(	(	PUNCT
ejpam-2118	127	9	2014	2014	NUM
ejpam-2118	127	10	)	)	PUNCT
ejpam-2118	127	11	,	,	PUNCT
ejpam-2118	127	12	419	419	NUM
ejpam-2118	127	13	-	-	SYM
ejpam-2118	127	14	428	428	NUM
ejpam-2118	127	15	424	424	NUM
ejpam-2118	127	16	moreover	moreover	ADV
ejpam-2118	127	17	,	,	PUNCT
ejpam-2118	127	18	by	by	ADP
ejpam-2118	127	19	lemma	lemma	PROPN
ejpam-2118	127	20	4	4	NUM
ejpam-2118	127	21	,	,	PUNCT
ejpam-2118	127	22	we	we	PRON
ejpam-2118	127	23	have	have	VERB
ejpam-2118	127	24	nαnen	nαnen	PROPN
ejpam-2118	127	25	�	�	PROPN
ejpam-2118	127	26	g	g	PROPN
ejpam-2118	127	27	�	�	PROPN
ejpam-2118	127	28	·	·	PUNCT
ejpam-2118	127	29	,	,	PUNCT
ejpam-2118	127	30	x0	x0	PROPN
ejpam-2118	127	31	�	�	PROPN
ejpam-2118	127	32	�	�	PROPN
ejpam-2118	127	33	e1	e1	PROPN
ejpam-2118	127	34	−	−	PROPN
ejpam-2118	127	35	x0	x0	PROPN
ejpam-2118	127	36	�	�	PROPN
ejpam-2118	127	37	2	2	NUM
ejpam-2118	127	38	;	;	PUNCT
ejpam-2118	127	39	x0	x0	PROPN
ejpam-2118	127	40	�	�	PROPN
ejpam-2118	127	41	≤	≤	NUM
ejpam-2118	127	42	�	�	PROPN
ejpam-2118	127	43	n2α2	n2α2	PROPN
ejpam-2118	127	44	n	n	PRON
ejpam-2118	127	45	�	�	PROPN
ejpam-2118	127	46	cn	cn	PROPN
ejpam-2118	127	47	�	�	PROPN
ejpam-2118	127	48	x0	x0	PROPN
ejpam-2118	127	49	�	�	PROPN
ejpam-2118	127	50	�	�	PROPN
ejpam-2118	127	51	1	1	NUM
ejpam-2118	127	52	nαn	nαn	PROPN
ejpam-2118	127	53	�	�	PROPN
ejpam-2118	127	54	2	2	NUM
ejpam-2118	127	55	�	�	PROPN
ejpam-2118	127	56	�	�	NOUN
ejpam-2118	127	57	1/2	1/2	NUM
ejpam-2118	127	58	·	·	PUNCT
ejpam-2118	127	59	�	�	PROPN
ejpam-2118	127	60	en	en	ADP
ejpam-2118	127	61	�	�	PROPN
ejpam-2118	127	62	�	�	PROPN
ejpam-2118	127	63	g2	g2	PROPN
ejpam-2118	127	64	�	�	PROPN
ejpam-2118	127	65	·	·	PUNCT
ejpam-2118	127	66	,	,	PUNCT
ejpam-2118	127	67	x0	x0	PROPN
ejpam-2118	127	68	�	�	PROPN
ejpam-2118	127	69	�	�	PROPN
ejpam-2118	127	70	;	;	PUNCT
ejpam-2118	127	71	x0	x0	PROPN
ejpam-2118	127	72	�	�	PROPN
ejpam-2118	127	73	�	�	PROPN
ejpam-2118	127	74	1/2	1/2	NUM
ejpam-2118	127	75	it	it	PRON
ejpam-2118	127	76	results	result	VERB
ejpam-2118	127	77	that	that	SCONJ
ejpam-2118	127	78	limn→∞	limn→∞	PROPN
ejpam-2118	127	79	nαnen	nαnen	PROPN
ejpam-2118	127	80	�	�	PROPN
ejpam-2118	127	81	g	g	PROPN
ejpam-2118	127	82	�	�	PROPN
ejpam-2118	127	83	·	·	PUNCT
ejpam-2118	127	84	,	,	PUNCT
ejpam-2118	127	85	x0	x0	PROPN
ejpam-2118	127	86	�	�	PROPN
ejpam-2118	127	87	�	�	PROPN
ejpam-2118	127	88	e1	e1	PROPN
ejpam-2118	127	89	−	−	PROPN
ejpam-2118	127	90	x0	x0	PROPN
ejpam-2118	127	91	�	�	PROPN
ejpam-2118	127	92	2	2	NUM
ejpam-2118	127	93	;	;	PUNCT
ejpam-2118	127	94	x0	x0	PROPN
ejpam-2118	127	95	�	�	PROPN
ejpam-2118	127	96	=	=	PUNCT
ejpam-2118	127	97	0	0	PROPN
ejpam-2118	127	98	.	.	PUNCT
ejpam-2118	128	1	by	by	ADP
ejpam-2118	128	2	the	the	DET
ejpam-2118	128	3	above	above	ADJ
ejpam-2118	128	4	results	result	NOUN
ejpam-2118	128	5	and	and	CCONJ
ejpam-2118	128	6	by	by	ADP
ejpam-2118	128	7	lemma	lemma	PROPN
ejpam-2118	128	8	2	2	NUM
ejpam-2118	128	9	,	,	PUNCT
ejpam-2118	128	10	we	we	PRON
ejpam-2118	128	11	obtain	obtain	VERB
ejpam-2118	128	12	lim	lim	PROPN
ejpam-2118	128	13	n→∞	n→∞	PRON
ejpam-2118	129	1	n.αn	n.αn	PROPN
ejpam-2118	129	2	�	�	PROPN
ejpam-2118	129	3	en	en	X
ejpam-2118	129	4	�	�	PROPN
ejpam-2118	129	5	f	f	PROPN
ejpam-2118	129	6	;	;	PUNCT
ejpam-2118	129	7	x0	x0	PROPN
ejpam-2118	129	8	�	�	PROPN
ejpam-2118	130	1	−	−	PROPN
ejpam-2118	130	2	f	f	PROPN
ejpam-2118	130	3	�	�	PROPN
ejpam-2118	130	4	x0	x0	PROPN
ejpam-2118	130	5	�	�	PROPN
ejpam-2118	130	6	�	�	PROPN
ejpam-2118	130	7	=	=	SYM
ejpam-2118	130	8	1	1	NUM
ejpam-2118	130	9	2	2	NUM
ejpam-2118	130	10	�	�	PROPN
ejpam-2118	130	11	1−	1−	NUM
ejpam-2118	130	12	x0	x0	PROPN
ejpam-2118	130	13	�	�	PROPN
ejpam-2118	130	14	f	f	PROPN
ejpam-2118	131	1	′′	′′	PROPN
ejpam-2118	131	2	�	�	PROPN
ejpam-2118	131	3	x0	x0	PROPN
ejpam-2118	131	4	�	�	PROPN
ejpam-2118	131	5	.	.	PUNCT
ejpam-2118	132	1	6	6	X
ejpam-2118	132	2	.	.	X
ejpam-2118	132	3	rates	rate	NOUN
ejpam-2118	132	4	of	of	ADP
ejpam-2118	132	5	convergence	convergence	NOUN
ejpam-2118	132	6	in	in	ADP
ejpam-2118	132	7	this	this	DET
ejpam-2118	132	8	section	section	NOUN
ejpam-2118	132	9	we	we	PRON
ejpam-2118	132	10	shall	shall	AUX
ejpam-2118	132	11	give	give	VERB
ejpam-2118	132	12	error	error	NOUN
ejpam-2118	132	13	estimates	estimate	NOUN
ejpam-2118	132	14	,	,	PUNCT
ejpam-2118	132	15	the	the	PRON
ejpam-2118	132	16	for	for	ADP
ejpam-2118	132	17	f	f	PROPN
ejpam-2118	132	18	∈	∈	PROPN
ejpam-2118	132	19	c[0,1	c[0,1	NOUN
ejpam-2118	132	20	]	]	PUNCT
ejpam-2118	132	21	and	and	CCONJ
ejpam-2118	132	22	f	f	PROPN
ejpam-2118	132	23	∈	∈	PROPN
ejpam-2118	132	24	c1[0,1	c1[0,1	PROPN
ejpam-2118	132	25	]	]	PUNCT
ejpam-2118	132	26	.	.	PUNCT
ejpam-2118	133	1	theorem	theorem	NOUN
ejpam-2118	133	2	4	4	NUM
ejpam-2118	133	3	.	.	PUNCT
ejpam-2118	134	1	if	if	SCONJ
ejpam-2118	134	2	f	f	PROPN
ejpam-2118	134	3	∈	∈	PROPN
ejpam-2118	134	4	c[0,1	c[0,1	NOUN
ejpam-2118	134	5	]	]	PUNCT
ejpam-2118	134	6	,	,	PUNCT
ejpam-2118	134	7	then	then	ADV
ejpam-2118	134	8	en	en	PROPN
ejpam-2118	134	9	�	�	PROPN
ejpam-2118	134	10	f	f	PROPN
ejpam-2118	134	11	�	�	PROPN
ejpam-2118	134	12	−	−	PROPN
ejpam-2118	134	13	f	f	PROPN
ejpam-2118	134	14	≤	≤	NUM
ejpam-2118	134	15	2ω	2ω	PROPN
ejpam-2118	134	16	�	�	PROPN
ejpam-2118	134	17	f	f	PROPN
ejpam-2118	134	18	;	;	PUNCT
ejpam-2118	134	19	1	1	NUM
ejpam-2118	134	20	p	p	NOUN
ejpam-2118	134	21	nαn	nαn	PROPN
ejpam-2118	134	22	�	�	PROPN
ejpam-2118	134	23	.	.	PUNCT
ejpam-2118	135	1	(	(	PUNCT
ejpam-2118	135	2	7	7	X
ejpam-2118	135	3	)	)	PUNCT
ejpam-2118	135	4	proof	proof	NOUN
ejpam-2118	135	5	.	.	PUNCT
ejpam-2118	136	1	let	let	VERB
ejpam-2118	136	2	f	f	PRON
ejpam-2118	136	3	∈	∈	PROPN
ejpam-2118	136	4	c[0,1	c[0,1	NOUN
ejpam-2118	136	5	]	]	PUNCT
ejpam-2118	136	6	.	.	PUNCT
ejpam-2118	137	1	by	by	ADP
ejpam-2118	137	2	linearity	linearity	NOUN
ejpam-2118	137	3	and	and	CCONJ
ejpam-2118	137	4	positivity	positivity	NOUN
ejpam-2118	137	5	of	of	ADP
ejpam-2118	137	6	the	the	DET
ejpam-2118	137	7	operators	operator	NOUN
ejpam-2118	137	8	en	en	INTJ
ejpam-2118	137	9	we	we	PRON
ejpam-2118	137	10	get	get	VERB
ejpam-2118	137	11	,	,	PUNCT
ejpam-2118	137	12	for	for	ADP
ejpam-2118	137	13	all	all	PRON
ejpam-2118	137	14	n	n	PRON
ejpam-2118	137	15	∈	∈	NOUN
ejpam-2118	137	16	n	n	NOUN
ejpam-2118	137	17	and	and	CCONJ
ejpam-2118	137	18	x	x	PUNCT
ejpam-2118	137	19	∈	∈	PROPN
ejpam-2118	138	1	[	[	X
ejpam-2118	138	2	0,1	0,1	NUM
ejpam-2118	138	3	]	]	PUNCT
ejpam-2118	138	4	,	,	PUNCT
ejpam-2118	138	5	that	that	SCONJ
ejpam-2118	138	6	�	�	PROPN
ejpam-2118	138	7	�	�	PROPN
ejpam-2118	138	8	en	en	PROPN
ejpam-2118	138	9	�	�	PROPN
ejpam-2118	138	10	f	f	PROPN
ejpam-2118	138	11	;	;	PUNCT
ejpam-2118	138	12	x	x	PART
ejpam-2118	138	13	�	�	PROPN
ejpam-2118	138	14	−	−	PROPN
ejpam-2118	138	15	f	f	PROPN
ejpam-2118	138	16	(	(	PUNCT
ejpam-2118	138	17	x	x	NOUN
ejpam-2118	138	18	)	)	PUNCT
ejpam-2118	138	19	�	�	PROPN
ejpam-2118	138	20	�	�	PROPN
ejpam-2118	138	21	≤	≤	PROPN
ejpam-2118	138	22	en	en	ADP
ejpam-2118	138	23	�	�	PROPN
ejpam-2118	138	24	�	�	PROPN
ejpam-2118	138	25	�	�	PROPN
ejpam-2118	138	26	f	f	PROPN
ejpam-2118	138	27	−	−	PROPN
ejpam-2118	138	28	f	f	PROPN
ejpam-2118	138	29	(	(	PUNCT
ejpam-2118	138	30	x	x	NOUN
ejpam-2118	138	31	)	)	PUNCT
ejpam-2118	138	32	�	�	PROPN
ejpam-2118	138	33	�	�	PROPN
ejpam-2118	138	34	;	;	PUNCT
ejpam-2118	138	35	x	x	X
ejpam-2118	138	36	�	�	PROPN
ejpam-2118	138	37	.	.	PUNCT
ejpam-2118	139	1	(	(	PUNCT
ejpam-2118	139	2	8)	8)	NUM
ejpam-2118	139	3	now	now	ADV
ejpam-2118	139	4	using	use	VERB
ejpam-2118	139	5	(	(	PUNCT
ejpam-2118	139	6	5	5	NUM
ejpam-2118	139	7	)	)	PUNCT
ejpam-2118	139	8	in	in	ADP
ejpam-2118	139	9	inequality	inequality	NOUN
ejpam-2118	139	10	(	(	PUNCT
ejpam-2118	139	11	8)	8)	NUM
ejpam-2118	139	12	we	we	PRON
ejpam-2118	139	13	have	have	VERB
ejpam-2118	139	14	,	,	PUNCT
ejpam-2118	139	15	for	for	ADP
ejpam-2118	139	16	any	any	DET
ejpam-2118	139	17	δ	δ	PROPN
ejpam-2118	139	18	>	>	X
ejpam-2118	139	19	0	0	PROPN
ejpam-2118	139	20	,	,	PUNCT
ejpam-2118	139	21	that	that	SCONJ
ejpam-2118	139	22	�	�	PROPN
ejpam-2118	139	23	�	�	PROPN
ejpam-2118	139	24	en	en	PROPN
ejpam-2118	139	25	�	�	PROPN
ejpam-2118	139	26	f	f	PROPN
ejpam-2118	139	27	;	;	PUNCT
ejpam-2118	139	28	x	x	PART
ejpam-2118	139	29	�	�	PROPN
ejpam-2118	139	30	−	−	PROPN
ejpam-2118	139	31	f	f	PROPN
ejpam-2118	139	32	(	(	PUNCT
ejpam-2118	139	33	x	x	NOUN
ejpam-2118	139	34	)	)	PUNCT
ejpam-2118	139	35	�	�	PROPN
ejpam-2118	139	36	�	�	PROPN
ejpam-2118	139	37	≤	≤	PROPN
ejpam-2118	139	38	�	�	NOUN
ejpam-2118	139	39	1	1	NUM
ejpam-2118	139	40	+	+	SYM
ejpam-2118	139	41	1	1	NUM
ejpam-2118	139	42	δ	δ	PROPN
ejpam-2118	139	43	en	en	PROPN
ejpam-2118	139	44	�	�	PROPN
ejpam-2118	139	45	�	�	PROPN
ejpam-2118	139	46	�	�	PROPN
ejpam-2118	139	47	e1	e1	PROPN
ejpam-2118	139	48	−	−	NOUN
ejpam-2118	139	49	x	x	SYM
ejpam-2118	139	50	�	�	PROPN
ejpam-2118	139	51	�	�	PROPN
ejpam-2118	139	52	;	;	PUNCT
ejpam-2118	139	53	x	x	X
ejpam-2118	139	54	�	�	PROPN
ejpam-2118	139	55	�	�	PROPN
ejpam-2118	139	56	ω	ω	NUM
ejpam-2118	139	57	�	�	PROPN
ejpam-2118	139	58	f	f	PROPN
ejpam-2118	139	59	;	;	PUNCT
ejpam-2118	139	60	δ	δ	PROPN
ejpam-2118	139	61	�	�	PROPN
ejpam-2118	139	62	(	(	PUNCT
ejpam-2118	139	63	9	9	X
ejpam-2118	139	64	)	)	PUNCT
ejpam-2118	139	65	applying	apply	VERB
ejpam-2118	139	66	the	the	DET
ejpam-2118	139	67	cauchy	cauchy	NOUN
ejpam-2118	139	68	-	-	PUNCT
ejpam-2118	139	69	schwartz	schwartz	PROPN
ejpam-2118	139	70	inequality	inequality	NOUN
ejpam-2118	139	71	for	for	ADP
ejpam-2118	139	72	positive	positive	ADJ
ejpam-2118	139	73	linear	linear	PROPN
ejpam-2118	139	74	operators	operator	NOUN
ejpam-2118	139	75	it	it	PRON
ejpam-2118	139	76	follows	follow	VERB
ejpam-2118	139	77	from	from	ADP
ejpam-2118	139	78	(	(	PUNCT
ejpam-2118	139	79	9	9	NUM
ejpam-2118	139	80	)	)	PUNCT
ejpam-2118	139	81	that	that	PRON
ejpam-2118	139	82	�	�	PROPN
ejpam-2118	139	83	�	�	PROPN
ejpam-2118	139	84	en	en	PROPN
ejpam-2118	139	85	�	�	PROPN
ejpam-2118	139	86	f	f	PROPN
ejpam-2118	139	87	;	;	PUNCT
ejpam-2118	139	88	x	x	PART
ejpam-2118	139	89	�	�	PROPN
ejpam-2118	139	90	−	−	PROPN
ejpam-2118	139	91	f	f	PROPN
ejpam-2118	139	92	(	(	PUNCT
ejpam-2118	139	93	x	x	NOUN
ejpam-2118	139	94	)	)	PUNCT
ejpam-2118	139	95	�	�	PROPN
ejpam-2118	139	96	�	�	PROPN
ejpam-2118	139	97	≤	≤	PROPN
ejpam-2118	139	98	�	�	NOUN
ejpam-2118	139	99	1	1	NUM
ejpam-2118	139	100	+	+	SYM
ejpam-2118	139	101	1	1	NUM
ejpam-2118	139	102	δ	δ	NOUN
ejpam-2118	139	103	r	r	NOUN
ejpam-2118	139	104	en	en	X
ejpam-2118	139	105	�	�	PROPN
ejpam-2118	139	106	�	�	PROPN
ejpam-2118	139	107	e1	e1	PROPN
ejpam-2118	139	108	−	−	NOUN
ejpam-2118	139	109	x	x	SYM
ejpam-2118	139	110	�	�	PROPN
ejpam-2118	139	111	2	2	NUM
ejpam-2118	139	112	;	;	PUNCT
ejpam-2118	139	113	x	x	PART
ejpam-2118	139	114	�	�	PROPN
ejpam-2118	139	115	�	�	PROPN
ejpam-2118	139	116	ω	ω	NUM
ejpam-2118	139	117	�	�	PROPN
ejpam-2118	139	118	f	f	PROPN
ejpam-2118	139	119	;	;	PUNCT
ejpam-2118	139	120	δ	δ	PROPN
ejpam-2118	139	121	�	�	PROPN
ejpam-2118	139	122	using	use	VERB
ejpam-2118	139	123	lemma	lemma	PROPN
ejpam-2118	139	124	1	1	NUM
ejpam-2118	139	125	in	in	ADP
ejpam-2118	139	126	the	the	DET
ejpam-2118	139	127	last	last	ADJ
ejpam-2118	139	128	inequality	inequality	NOUN
ejpam-2118	139	129	,	,	PUNCT
ejpam-2118	139	130	we	we	PRON
ejpam-2118	139	131	can	can	AUX
ejpam-2118	139	132	write	write	VERB
ejpam-2118	139	133	�	�	PROPN
ejpam-2118	139	134	�	�	PROPN
ejpam-2118	139	135	en	en	PROPN
ejpam-2118	139	136	�	�	PROPN
ejpam-2118	139	137	f	f	PROPN
ejpam-2118	139	138	;	;	PUNCT
ejpam-2118	139	139	x	x	PART
ejpam-2118	139	140	�	�	PROPN
ejpam-2118	139	141	−	−	PROPN
ejpam-2118	139	142	f	f	PROPN
ejpam-2118	139	143	(	(	PUNCT
ejpam-2118	139	144	x	x	NOUN
ejpam-2118	139	145	)	)	PUNCT
ejpam-2118	139	146	�	�	PROPN
ejpam-2118	139	147	�	�	PROPN
ejpam-2118	139	148	≤	≤	PROPN
ejpam-2118	139	149			NOUN
ejpam-2118	139	150	1	1	PROPN
ejpam-2118	139	151	+	+	ADJ
ejpam-2118	139	152	1	1	NUM
ejpam-2118	139	153	δ	δ	PROPN
ejpam-2118	139	154	�	�	PROPN
ejpam-2118	139	155	(	(	PUNCT
ejpam-2118	139	156	1−	1−	NUM
ejpam-2118	139	157	x	x	NOUN
ejpam-2118	139	158	)	)	PUNCT
ejpam-2118	139	159	�	�	PROPN
ejpam-2118	139	160	1−	1−	NUM
ejpam-2118	139	161	e−nx	e−nx	PROPN
ejpam-2118	139	162	�	�	PROPN
ejpam-2118	139	163	nαn	nαn	PROPN
ejpam-2118	139	164	�	�	PROPN
ejpam-2118	139	165	1/2	1/2	NUM
ejpam-2118	139	166			PUNCT
ejpam-2118	140	1	ω	ω	PROPN
ejpam-2118	140	2	�	�	PROPN
ejpam-2118	140	3	f	f	PROPN
ejpam-2118	140	4	;	;	PUNCT
ejpam-2118	140	5	δ	δ	PROPN
ejpam-2118	140	6	�	�	PROPN
ejpam-2118	140	7	≤	≤	PROPN
ejpam-2118	140	8	1	1	NUM
ejpam-2118	140	9	+	+	SYM
ejpam-2118	140	10	1	1	NUM
ejpam-2118	140	11	δ	δ	PROPN
ejpam-2118	140	12	�	�	PROPN
ejpam-2118	140	13	1	1	NUM
ejpam-2118	140	14	nαn	nαn	PROPN
ejpam-2118	140	15	�	�	PROPN
ejpam-2118	140	16	1/2	1/2	NUM
ejpam-2118	140	17	!	!	PUNCT
ejpam-2118	141	1	ω	ω	NUM
ejpam-2118	141	2	�	�	PROPN
ejpam-2118	141	3	f	f	PROPN
ejpam-2118	141	4	;	;	PUNCT
ejpam-2118	141	5	δ	δ	PROPN
ejpam-2118	141	6	�	�	PROPN
ejpam-2118	141	7	.	.	PUNCT
ejpam-2118	142	1	choosing	choose	VERB
ejpam-2118	142	2	δn	δn	ADJ
ejpam-2118	142	3	=	=	SYM
ejpam-2118	142	4	�	�	PROPN
ejpam-2118	142	5	1	1	NUM
ejpam-2118	142	6	nαn	nαn	PROPN
ejpam-2118	142	7	�	�	PROPN
ejpam-2118	142	8	1/2	1/2	NUM
ejpam-2118	142	9	,	,	PUNCT
ejpam-2118	142	10	we	we	PRON
ejpam-2118	142	11	have	have	VERB
ejpam-2118	142	12	the	the	DET
ejpam-2118	142	13	inequality	inequality	NOUN
ejpam-2118	142	14	�	�	PROPN
ejpam-2118	142	15	�	�	PROPN
ejpam-2118	142	16	en	en	PROPN
ejpam-2118	142	17	�	�	PROPN
ejpam-2118	142	18	f	f	PROPN
ejpam-2118	142	19	;	;	PUNCT
ejpam-2118	142	20	x	x	PART
ejpam-2118	142	21	�	�	PROPN
ejpam-2118	142	22	−	−	PROPN
ejpam-2118	142	23	f	f	PROPN
ejpam-2118	142	24	(	(	PUNCT
ejpam-2118	142	25	x	x	NOUN
ejpam-2118	142	26	)	)	PUNCT
ejpam-2118	142	27	�	�	PROPN
ejpam-2118	142	28	�	�	PROPN
ejpam-2118	142	29	≤	≤	PROPN
ejpam-2118	142	30	2ω	2ω	NUM
ejpam-2118	142	31	�	�	PROPN
ejpam-2118	142	32	f	f	PROPN
ejpam-2118	142	33	;	;	PUNCT
ejpam-2118	142	34	1	1	NUM
ejpam-2118	142	35	p	p	NOUN
ejpam-2118	142	36	nαn	nαn	PROPN
ejpam-2118	142	37	�	�	PROPN
ejpam-2118	142	38	.	.	PUNCT
ejpam-2118	143	1	t.	t.	PROPN
ejpam-2118	143	2	tunç	tunç	PROPN
ejpam-2118	143	3	,	,	PUNCT
ejpam-2118	143	4	e.	e.	PROPN
ejpam-2118	143	5	şimşek	şimşek	PROPN
ejpam-2118	143	6	/	/	SYM
ejpam-2118	143	7	eur	eur	PROPN
ejpam-2118	143	8	.	.	PUNCT
ejpam-2118	144	1	j.	j.	PROPN
ejpam-2118	144	2	pure	pure	PROPN
ejpam-2118	144	3	appl	appl	PROPN
ejpam-2118	144	4	.	.	PROPN
ejpam-2118	144	5	math	math	PROPN
ejpam-2118	144	6	,	,	PUNCT
ejpam-2118	144	7	7	7	NUM
ejpam-2118	144	8	(	(	PUNCT
ejpam-2118	144	9	2014	2014	NUM
ejpam-2118	144	10	)	)	PUNCT
ejpam-2118	144	11	,	,	PUNCT
ejpam-2118	144	12	419	419	NUM
ejpam-2118	144	13	-	-	SYM
ejpam-2118	144	14	428	428	NUM
ejpam-2118	144	15	425	425	NUM
ejpam-2118	144	16	theorem	theorem	NOUN
ejpam-2118	144	17	5	5	NUM
ejpam-2118	144	18	.	.	PUNCT
ejpam-2118	145	1	for	for	ADP
ejpam-2118	145	2	all	all	DET
ejpam-2118	145	3	f	f	PROPN
ejpam-2118	145	4	∈	∈	PROPN
ejpam-2118	145	5	lipmµ	lipmµ	NOUN
ejpam-2118	145	6	and	and	CCONJ
ejpam-2118	145	7	x	x	PUNCT
ejpam-2118	145	8	∈	∈	PROPN
ejpam-2118	146	1	[	[	X
ejpam-2118	146	2	0	0	NUM
ejpam-2118	146	3	,	,	PUNCT
ejpam-2118	146	4	1	1	NUM
ejpam-2118	146	5	]	]	PUNCT
ejpam-2118	146	6	,	,	PUNCT
ejpam-2118	146	7	we	we	PRON
ejpam-2118	146	8	have	have	VERB
ejpam-2118	146	9	en	en	ADP
ejpam-2118	146	10	�	�	PROPN
ejpam-2118	146	11	f	f	PROPN
ejpam-2118	146	12	�	�	PROPN
ejpam-2118	147	1	−	−	PROPN
ejpam-2118	147	2	f	f	PROPN
ejpam-2118	147	3	≤	≤	NUM
ejpam-2118	147	4	m	m	VERB
ejpam-2118	147	5	�	�	PROPN
ejpam-2118	147	6	1	1	NUM
ejpam-2118	147	7	nαn	nαn	PROPN
ejpam-2118	147	8	�	�	NOUN
ejpam-2118	147	9	µ/2	µ/2	PUNCT
ejpam-2118	147	10	.	.	PUNCT
ejpam-2118	148	1	proof	proof	NOUN
ejpam-2118	148	2	.	.	PUNCT
ejpam-2118	149	1	applying	apply	VERB
ejpam-2118	149	2	en	en	ADV
ejpam-2118	149	3	to	to	ADP
ejpam-2118	149	4	the	the	DET
ejpam-2118	149	5	inequality	inequality	NOUN
ejpam-2118	149	6	(	(	PUNCT
ejpam-2118	149	7	6	6	NUM
ejpam-2118	149	8	)	)	PUNCT
ejpam-2118	149	9	,	,	PUNCT
ejpam-2118	149	10	we	we	PRON
ejpam-2118	149	11	have	have	VERB
ejpam-2118	149	12	�	�	PROPN
ejpam-2118	149	13	�	�	PROPN
ejpam-2118	149	14	en	en	PROPN
ejpam-2118	149	15	�	�	PROPN
ejpam-2118	149	16	f	f	PROPN
ejpam-2118	149	17	;	;	PUNCT
ejpam-2118	149	18	x	x	PART
ejpam-2118	149	19	�	�	PROPN
ejpam-2118	149	20	−	−	PROPN
ejpam-2118	149	21	f	f	PROPN
ejpam-2118	149	22	(	(	PUNCT
ejpam-2118	149	23	x	x	NOUN
ejpam-2118	149	24	)	)	PUNCT
ejpam-2118	149	25	�	�	PROPN
ejpam-2118	149	26	�	�	PROPN
ejpam-2118	149	27	≤	≤	PROPN
ejpam-2118	149	28	en	en	ADP
ejpam-2118	149	29	�	�	PROPN
ejpam-2118	149	30	�	�	PROPN
ejpam-2118	149	31	�	�	PROPN
ejpam-2118	150	1	f	f	PROPN
ejpam-2118	151	1	−	−	PROPN
ejpam-2118	151	2	f	f	PROPN
ejpam-2118	151	3	(	(	PUNCT
ejpam-2118	151	4	x	x	NOUN
ejpam-2118	151	5	)	)	PUNCT
ejpam-2118	151	6	�	�	PROPN
ejpam-2118	151	7	�	�	PROPN
ejpam-2118	151	8	;	;	PUNCT
ejpam-2118	151	9	x	x	X
ejpam-2118	151	10	�	�	PROPN
ejpam-2118	151	11	≤	≤	NUM
ejpam-2118	151	12	m	m	VERB
ejpam-2118	151	13	en	en	ADP
ejpam-2118	151	14	�	�	PROPN
ejpam-2118	151	15	�	�	PROPN
ejpam-2118	151	16	�	�	PROPN
ejpam-2118	151	17	e1	e1	PROPN
ejpam-2118	151	18	−	−	NOUN
ejpam-2118	151	19	x	x	SYM
ejpam-2118	151	20	�	�	PROPN
ejpam-2118	151	21	�	�	PROPN
ejpam-2118	151	22	µ	µ	PROPN
ejpam-2118	151	23	;	;	PUNCT
ejpam-2118	151	24	x	x	X
ejpam-2118	151	25	�	�	PROPN
ejpam-2118	151	26	if	if	SCONJ
ejpam-2118	151	27	we	we	PRON
ejpam-2118	151	28	consider	consider	VERB
ejpam-2118	151	29	the	the	DET
ejpam-2118	151	30	hölder	hölder	NOUN
ejpam-2118	151	31	inequality	inequality	NOUN
ejpam-2118	151	32	with	with	ADP
ejpam-2118	151	33	p	p	NOUN
ejpam-2118	151	34	=	=	SYM
ejpam-2118	151	35	2	2	NUM
ejpam-2118	151	36	µ	µ	NOUN
ejpam-2118	151	37	,	,	PUNCT
ejpam-2118	151	38	q	q	NOUN
ejpam-2118	151	39	=	=	SYM
ejpam-2118	151	40	2	2	NUM
ejpam-2118	151	41	2−µ	2−µ	NUM
ejpam-2118	151	42	and	and	CCONJ
ejpam-2118	151	43	by	by	ADP
ejpam-2118	151	44	lemma	lemma	PROPN
ejpam-2118	151	45	2	2	NUM
ejpam-2118	151	46	for	for	ADP
ejpam-2118	151	47	the	the	DET
ejpam-2118	151	48	last	last	ADJ
ejpam-2118	151	49	inequality	inequality	NOUN
ejpam-2118	151	50	,	,	PUNCT
ejpam-2118	151	51	we	we	PRON
ejpam-2118	151	52	get	get	VERB
ejpam-2118	151	53	�	�	PROPN
ejpam-2118	151	54	�	�	PROPN
ejpam-2118	151	55	en	en	PROPN
ejpam-2118	151	56	�	�	PROPN
ejpam-2118	151	57	f	f	PROPN
ejpam-2118	151	58	;	;	PUNCT
ejpam-2118	151	59	x	x	PART
ejpam-2118	151	60	�	�	PROPN
ejpam-2118	151	61	−	−	PROPN
ejpam-2118	151	62	f	f	PROPN
ejpam-2118	151	63	(	(	PUNCT
ejpam-2118	151	64	x	x	NOUN
ejpam-2118	151	65	)	)	PUNCT
ejpam-2118	151	66	�	�	PROPN
ejpam-2118	151	67	�	�	PROPN
ejpam-2118	151	68	≤m	≤m	PROPN
ejpam-2118	151	69	�	�	PROPN
ejpam-2118	151	70	en	en	ADP
ejpam-2118	151	71	�	�	PROPN
ejpam-2118	151	72	�	�	PROPN
ejpam-2118	151	73	e1	e1	PROPN
ejpam-2118	151	74	−	−	NOUN
ejpam-2118	151	75	x	x	SYM
ejpam-2118	151	76	�	�	PROPN
ejpam-2118	151	77	2	2	NUM
ejpam-2118	151	78	;	;	PUNCT
ejpam-2118	151	79	x	x	PART
ejpam-2118	151	80	�	�	PROPN
ejpam-2118	151	81	�	�	NOUN
ejpam-2118	151	82	µ/2	µ/2	NUM
ejpam-2118	151	83	=	=	SYM
ejpam-2118	151	84	m	m	PROPN
ejpam-2118	151	85	�	�	PROPN
ejpam-2118	151	86	(	(	PUNCT
ejpam-2118	151	87	1−	1−	NUM
ejpam-2118	151	88	x	x	NOUN
ejpam-2118	151	89	)	)	PUNCT
ejpam-2118	151	90	�	�	PROPN
ejpam-2118	151	91	1−	1−	NUM
ejpam-2118	151	92	e−nx	e−nx	PROPN
ejpam-2118	151	93	�	�	PROPN
ejpam-2118	151	94	nαn	nαn	PROPN
ejpam-2118	151	95	�	�	PROPN
ejpam-2118	151	96	µ/2	µ/2	PUNCT
ejpam-2118	151	97	≤m	≤m	PROPN
ejpam-2118	151	98	�	�	PROPN
ejpam-2118	151	99	1	1	NUM
ejpam-2118	151	100	nαn	nαn	PROPN
ejpam-2118	151	101	�	�	NOUN
ejpam-2118	151	102	µ/2	µ/2	PUNCT
ejpam-2118	151	103	.	.	PUNCT
ejpam-2118	152	1	theorem	theorem	VERB
ejpam-2118	152	2	6	6	NUM
ejpam-2118	152	3	.	.	PUNCT
ejpam-2118	153	1	if	if	SCONJ
ejpam-2118	153	2	f	f	PROPN
ejpam-2118	153	3	∈	∈	PROPN
ejpam-2118	153	4	c1	c1	NOUN
ejpam-2118	153	5	[	[	X
ejpam-2118	153	6	0	0	NUM
ejpam-2118	153	7	,	,	PUNCT
ejpam-2118	153	8	1	1	NUM
ejpam-2118	153	9	]	]	PUNCT
ejpam-2118	153	10	,	,	PUNCT
ejpam-2118	153	11	then	then	ADV
ejpam-2118	153	12	en	en	PROPN
ejpam-2118	153	13	�	�	PROPN
ejpam-2118	153	14	f	f	PROPN
ejpam-2118	153	15	�	�	PROPN
ejpam-2118	154	1	−	−	PROPN
ejpam-2118	154	2	f	f	PROPN
ejpam-2118	154	3	≤	≤	ADV
ejpam-2118	154	4	2	2	NUM
ejpam-2118	154	5	p	p	NOUN
ejpam-2118	154	6	nαn	nαn	PROPN
ejpam-2118	154	7	ω	ω	X
ejpam-2118	154	8	�	�	PROPN
ejpam-2118	154	9	f	f	PROPN
ejpam-2118	154	10	′	′	NOUN
ejpam-2118	154	11	;	;	PUNCT
ejpam-2118	154	12	1	1	NUM
ejpam-2118	154	13	p	p	NOUN
ejpam-2118	154	14	nαn	nαn	PROPN
ejpam-2118	154	15	�	�	PROPN
ejpam-2118	154	16	.	.	PUNCT
ejpam-2118	155	1	proof	proof	NOUN
ejpam-2118	155	2	.	.	PUNCT
ejpam-2118	156	1	by	by	ADP
ejpam-2118	156	2	the	the	DET
ejpam-2118	156	3	mean	mean	ADJ
ejpam-2118	156	4	value	value	NOUN
ejpam-2118	156	5	theorem	theorem	VERB
ejpam-2118	156	6	,	,	PUNCT
ejpam-2118	156	7	there	there	PRON
ejpam-2118	156	8	exists	exist	VERB
ejpam-2118	156	9	ξ	ξ	PROPN
ejpam-2118	156	10	∈	∈	PROPN
ejpam-2118	156	11	(	(	PUNCT
ejpam-2118	156	12	t	t	PROPN
ejpam-2118	156	13	;	;	PUNCT
ejpam-2118	156	14	x	x	X
ejpam-2118	156	15	):	):	PUNCT
ejpam-2118	156	16	f	f	X
ejpam-2118	156	17	(	(	PUNCT
ejpam-2118	156	18	t)−	t)−	PROPN
ejpam-2118	156	19	f	f	X
ejpam-2118	156	20	(	(	PUNCT
ejpam-2118	156	21	x	x	X
ejpam-2118	156	22	)	)	PUNCT
ejpam-2118	156	23	=	=	SYM
ejpam-2118	156	24	(	(	PUNCT
ejpam-2118	156	25	t	t	PROPN
ejpam-2118	156	26	−	−	NUM
ejpam-2118	156	27	x	x	SYM
ejpam-2118	156	28	)	)	PUNCT
ejpam-2118	156	29	f	f	NOUN
ejpam-2118	156	30	′	′	NUM
ejpam-2118	156	31	(	(	PUNCT
ejpam-2118	156	32	ξ	ξ	NOUN
ejpam-2118	156	33	)	)	PUNCT
ejpam-2118	156	34	.	.	PUNCT
ejpam-2118	157	1	as	as	SCONJ
ejpam-2118	157	2	the	the	DET
ejpam-2118	157	3	operators	operator	NOUN
ejpam-2118	157	4	en	en	X
ejpam-2118	157	5	are	be	AUX
ejpam-2118	157	6	linear	linear	ADJ
ejpam-2118	157	7	and	and	CCONJ
ejpam-2118	157	8	positive	positive	ADJ
ejpam-2118	157	9	and	and	CCONJ
ejpam-2118	157	10	on	on	ADP
ejpam-2118	157	11	the	the	DET
ejpam-2118	157	12	fact	fact	NOUN
ejpam-2118	157	13	that	that	SCONJ
ejpam-2118	157	14	lemma	lemma	PROPN
ejpam-2118	157	15	2	2	NUM
ejpam-2118	157	16	it	it	PRON
ejpam-2118	157	17	follows	follow	VERB
ejpam-2118	157	18	immediately	immediately	ADV
ejpam-2118	157	19	the	the	DET
ejpam-2118	157	20	equality	equality	NOUN
ejpam-2118	157	21	en	en	ADP
ejpam-2118	157	22	�	�	PROPN
ejpam-2118	157	23	f	f	PROPN
ejpam-2118	157	24	;	;	PUNCT
ejpam-2118	157	25	x	x	PART
ejpam-2118	157	26	�	�	PROPN
ejpam-2118	158	1	−	−	PROPN
ejpam-2118	158	2	f	f	PROPN
ejpam-2118	158	3	(	(	PUNCT
ejpam-2118	158	4	x	x	X
ejpam-2118	158	5	)	)	PUNCT
ejpam-2118	158	6	=	=	SYM
ejpam-2118	158	7	en	en	X
ejpam-2118	158	8	�	�	PROPN
ejpam-2118	158	9	�	�	PROPN
ejpam-2118	158	10	e1	e1	PROPN
ejpam-2118	158	11	−	−	NOUN
ejpam-2118	158	12	x	x	SYM
ejpam-2118	158	13	�	�	PROPN
ejpam-2118	158	14	f	f	PROPN
ejpam-2118	158	15	′	′	PROPN
ejpam-2118	158	16	�	�	PROPN
ejpam-2118	158	17	ξt	ξt	PROPN
ejpam-2118	158	18	,	,	PUNCT
ejpam-2118	158	19	x	x	X
ejpam-2118	158	20	�	�	PROPN
ejpam-2118	158	21	;	;	PUNCT
ejpam-2118	158	22	x	x	X
ejpam-2118	158	23	�	�	PROPN
ejpam-2118	158	24	=	=	SYM
ejpam-2118	158	25	en	en	PROPN
ejpam-2118	158	26	�	�	PROPN
ejpam-2118	158	27	�	�	PROPN
ejpam-2118	158	28	e1	e1	PROPN
ejpam-2118	158	29	−	−	NOUN
ejpam-2118	158	30	x	x	SYM
ejpam-2118	158	31	�	�	PROPN
ejpam-2118	158	32	�	�	PROPN
ejpam-2118	158	33	f	f	PROPN
ejpam-2118	158	34	′	′	NUM
ejpam-2118	158	35	�	�	PROPN
ejpam-2118	158	36	ξt	ξt	PROPN
ejpam-2118	158	37	,	,	PUNCT
ejpam-2118	158	38	x	x	X
ejpam-2118	158	39	�	�	PROPN
ejpam-2118	159	1	−	−	PROPN
ejpam-2118	159	2	f	f	NOUN
ejpam-2118	159	3	′	′	NUM
ejpam-2118	159	4	(	(	PUNCT
ejpam-2118	159	5	x	x	X
ejpam-2118	159	6	)	)	PUNCT
ejpam-2118	159	7	�	�	PROPN
ejpam-2118	159	8	;	;	PUNCT
ejpam-2118	159	9	x	x	X
ejpam-2118	159	10	�	�	PROPN
ejpam-2118	159	11	where	where	SCONJ
ejpam-2118	159	12	ξt	ξt	NOUN
ejpam-2118	159	13	,	,	PUNCT
ejpam-2118	159	14	x	x	SYM
ejpam-2118	159	15	∈	∈	PROPN
ejpam-2118	159	16	(	(	PUNCT
ejpam-2118	159	17	min	min	PROPN
ejpam-2118	159	18	{	{	PUNCT
ejpam-2118	159	19	t	t	PROPN
ejpam-2118	159	20	,	,	PUNCT
ejpam-2118	159	21	x	x	NOUN
ejpam-2118	159	22	}	}	PUNCT
ejpam-2118	159	23	,	,	PUNCT
ejpam-2118	159	24	max	max	PROPN
ejpam-2118	159	25	{	{	PUNCT
ejpam-2118	159	26	t	t	PROPN
ejpam-2118	159	27	,	,	PUNCT
ejpam-2118	159	28	x	x	NOUN
ejpam-2118	159	29	}	}	PUNCT
ejpam-2118	159	30	)	)	PUNCT
ejpam-2118	159	31	.	.	PUNCT
ejpam-2118	160	1	using	use	VERB
ejpam-2118	160	2	the	the	DET
ejpam-2118	160	3	property	property	NOUN
ejpam-2118	160	4	of	of	ADP
ejpam-2118	160	5	modulus	modulus	NOUN
ejpam-2118	160	6	of	of	ADP
ejpam-2118	160	7	continuity	continuity	NOUN
ejpam-2118	160	8	,	,	PUNCT
ejpam-2118	160	9	we	we	PRON
ejpam-2118	160	10	get	get	VERB
ejpam-2118	160	11	�	�	PROPN
ejpam-2118	160	12	�	�	PROPN
ejpam-2118	160	13	f	f	PROPN
ejpam-2118	160	14	′	′	NUM
ejpam-2118	160	15	�	�	PROPN
ejpam-2118	160	16	ξx	ξx	PROPN
ejpam-2118	160	17	(	(	PUNCT
ejpam-2118	160	18	t	t	PROPN
ejpam-2118	160	19	)	)	PUNCT
ejpam-2118	160	20	�	�	PROPN
ejpam-2118	161	1	−	−	PROPN
ejpam-2118	161	2	f	f	NOUN
ejpam-2118	161	3	′	′	NUM
ejpam-2118	161	4	(	(	PUNCT
ejpam-2118	161	5	x	x	X
ejpam-2118	161	6	)	)	PUNCT
ejpam-2118	161	7	�	�	PROPN
ejpam-2118	161	8	�	�	PROPN
ejpam-2118	161	9	≤ω	≤ω	PROPN
ejpam-2118	161	10	�	�	PROPN
ejpam-2118	161	11	f	f	PROPN
ejpam-2118	161	12	′	′	PROPN
ejpam-2118	161	13	;	;	PUNCT
ejpam-2118	161	14	�	�	PROPN
ejpam-2118	161	15	�	�	PROPN
ejpam-2118	161	16	ξx	ξx	PROPN
ejpam-2118	161	17	(	(	PUNCT
ejpam-2118	161	18	t)−	t)−	PROPN
ejpam-2118	161	19	x	x	SYM
ejpam-2118	161	20	�	�	PROPN
ejpam-2118	161	21	�	�	PROPN
ejpam-2118	161	22	�	�	PROPN
ejpam-2118	162	1	≤ω	≤ω	PROPN
ejpam-2118	162	2	�	�	PROPN
ejpam-2118	162	3	f	f	PROPN
ejpam-2118	162	4	′;δ	′;δ	PROPN
ejpam-2118	162	5	�	�	PROPN
ejpam-2118	162	6	�	�	PROPN
ejpam-2118	162	7	1	1	NUM
ejpam-2118	162	8	+	+	SYM
ejpam-2118	162	9	1	1	NUM
ejpam-2118	162	10	δ	δ	PROPN
ejpam-2118	162	11	�	�	PROPN
ejpam-2118	162	12	�	�	PROPN
ejpam-2118	162	13	ξx	ξx	PROPN
ejpam-2118	162	14	(	(	PUNCT
ejpam-2118	162	15	t)−	t)−	PROPN
ejpam-2118	162	16	x	x	SYM
ejpam-2118	162	17	�	�	PROPN
ejpam-2118	162	18	�	�	PROPN
ejpam-2118	162	19	�	�	PROPN
ejpam-2118	163	1	≤ω	≤ω	PROPN
ejpam-2118	163	2	�	�	PROPN
ejpam-2118	163	3	f	f	PROPN
ejpam-2118	163	4	′;δ	′;δ	PROPN
ejpam-2118	163	5	�	�	PROPN
ejpam-2118	163	6	�	�	PROPN
ejpam-2118	163	7	1	1	NUM
ejpam-2118	163	8	+	+	SYM
ejpam-2118	163	9	1	1	NUM
ejpam-2118	163	10	δ	δ	NOUN
ejpam-2118	163	11	|t	|t	VERB
ejpam-2118	163	12	−	−	PROPN
ejpam-2118	164	1	x	x	SYM
ejpam-2118	164	2	|	|	ADV
ejpam-2118	164	3	�	�	PROPN
ejpam-2118	164	4	.	.	PUNCT
ejpam-2118	165	1	consequently	consequently	ADV
ejpam-2118	165	2	,	,	PUNCT
ejpam-2118	165	3	�	�	PROPN
ejpam-2118	165	4	�	�	PROPN
ejpam-2118	165	5	en	en	PROPN
ejpam-2118	165	6	�	�	PROPN
ejpam-2118	165	7	f	f	PROPN
ejpam-2118	165	8	;	;	PUNCT
ejpam-2118	165	9	x	x	PART
ejpam-2118	165	10	�	�	PROPN
ejpam-2118	166	1	−	−	PROPN
ejpam-2118	166	2	f	f	PROPN
ejpam-2118	166	3	(	(	PUNCT
ejpam-2118	166	4	x	x	NOUN
ejpam-2118	166	5	)	)	PUNCT
ejpam-2118	166	6	�	�	PROPN
ejpam-2118	166	7	�	�	PROPN
ejpam-2118	166	8	≤ω	≤ω	PROPN
ejpam-2118	166	9	�	�	PROPN
ejpam-2118	166	10	f	f	PROPN
ejpam-2118	166	11	′;δ	′;δ	PROPN
ejpam-2118	166	12	�	�	PROPN
ejpam-2118	166	13	en	en	ADP
ejpam-2118	166	14	�	�	PROPN
ejpam-2118	166	15	�	�	PROPN
ejpam-2118	166	16	�	�	PROPN
ejpam-2118	166	17	e1	e1	PROPN
ejpam-2118	166	18	−	−	NOUN
ejpam-2118	166	19	x	x	SYM
ejpam-2118	166	20	�	�	PROPN
ejpam-2118	166	21	�	�	PROPN
ejpam-2118	166	22	�	�	PROPN
ejpam-2118	166	23	1	1	NUM
ejpam-2118	166	24	+	+	SYM
ejpam-2118	166	25	1	1	NUM
ejpam-2118	166	26	δ	δ	PROPN
ejpam-2118	166	27	�	�	PROPN
ejpam-2118	166	28	�	�	PROPN
ejpam-2118	166	29	e1	e1	PROPN
ejpam-2118	166	30	−	−	NOUN
ejpam-2118	166	31	x	x	SYM
ejpam-2118	166	32	�	�	PROPN
ejpam-2118	166	33	�	�	PROPN
ejpam-2118	166	34	�	�	PROPN
ejpam-2118	166	35	;	;	PUNCT
ejpam-2118	166	36	x	x	PART
ejpam-2118	166	37	�	�	PROPN
ejpam-2118	166	38	=	=	SYM
ejpam-2118	166	39	ω	ω	PROPN
ejpam-2118	166	40	�	�	PROPN
ejpam-2118	166	41	f	f	PROPN
ejpam-2118	166	42	′;δ	′;δ	PROPN
ejpam-2118	166	43	�	�	PROPN
ejpam-2118	166	44	en	en	ADP
ejpam-2118	166	45	�	�	PROPN
ejpam-2118	166	46	�	�	PROPN
ejpam-2118	166	47	�	�	PROPN
ejpam-2118	166	48	e1	e1	PROPN
ejpam-2118	166	49	−	−	NOUN
ejpam-2118	166	50	x	x	SYM
ejpam-2118	166	51	�	�	PROPN
ejpam-2118	166	52	�	�	PROPN
ejpam-2118	166	53	+	+	NOUN
ejpam-2118	166	54	1	1	NUM
ejpam-2118	166	55	δ	δ	PROPN
ejpam-2118	166	56	�	�	PROPN
ejpam-2118	166	57	e1	e1	PROPN
ejpam-2118	166	58	−	−	NOUN
ejpam-2118	166	59	x	x	SYM
ejpam-2118	166	60	�	�	PROPN
ejpam-2118	166	61	2	2	NUM
ejpam-2118	166	62	;	;	PUNCT
ejpam-2118	166	63	x	x	PART
ejpam-2118	166	64	�	�	PROPN
ejpam-2118	166	65	t.	t.	PROPN
ejpam-2118	166	66	tunç	tunç	PROPN
ejpam-2118	166	67	,	,	PUNCT
ejpam-2118	166	68	e.	e.	PROPN
ejpam-2118	166	69	şimşek	şimşek	PROPN
ejpam-2118	166	70	/	/	SYM
ejpam-2118	166	71	eur	eur	PROPN
ejpam-2118	166	72	.	.	PUNCT
ejpam-2118	167	1	j.	j.	PROPN
ejpam-2118	167	2	pure	pure	PROPN
ejpam-2118	167	3	appl	appl	PROPN
ejpam-2118	167	4	.	.	PROPN
ejpam-2118	167	5	math	math	PROPN
ejpam-2118	167	6	,	,	PUNCT
ejpam-2118	167	7	7	7	NUM
ejpam-2118	167	8	(	(	PUNCT
ejpam-2118	167	9	2014	2014	NUM
ejpam-2118	167	10	)	)	PUNCT
ejpam-2118	167	11	,	,	PUNCT
ejpam-2118	167	12	419	419	NUM
ejpam-2118	167	13	-	-	SYM
ejpam-2118	167	14	428	428	NUM
ejpam-2118	167	15	426	426	NUM
ejpam-2118	167	16	=	=	NUM
ejpam-2118	167	17	ω	ω	PROPN
ejpam-2118	167	18	�	�	PROPN
ejpam-2118	167	19	f	f	PROPN
ejpam-2118	167	20	′;δ	′;δ	PROPN
ejpam-2118	167	21	�	�	PROPN
ejpam-2118	167	22	�	�	PROPN
ejpam-2118	167	23	en	en	ADP
ejpam-2118	167	24	�	�	PROPN
ejpam-2118	167	25	�	�	PROPN
ejpam-2118	167	26	�	�	PROPN
ejpam-2118	167	27	e1	e1	PROPN
ejpam-2118	167	28	−	−	NOUN
ejpam-2118	167	29	x	x	SYM
ejpam-2118	167	30	�	�	PROPN
ejpam-2118	167	31	�	�	PROPN
ejpam-2118	167	32	;	;	PUNCT
ejpam-2118	167	33	x	x	X
ejpam-2118	167	34	�	�	PROPN
ejpam-2118	167	35	+	+	CCONJ
ejpam-2118	167	36	1	1	NUM
ejpam-2118	167	37	δ	δ	PROPN
ejpam-2118	167	38	en	en	X
ejpam-2118	167	39	�	�	PROPN
ejpam-2118	167	40	�	�	PROPN
ejpam-2118	167	41	e1	e1	PROPN
ejpam-2118	167	42	−	−	NOUN
ejpam-2118	167	43	x	x	SYM
ejpam-2118	167	44	�	�	PROPN
ejpam-2118	167	45	2	2	NUM
ejpam-2118	167	46	;	;	PUNCT
ejpam-2118	167	47	x	x	PART
ejpam-2118	167	48	�	�	PROPN
ejpam-2118	167	49	�	�	PROPN
ejpam-2118	167	50	using	use	VERB
ejpam-2118	167	51	the	the	DET
ejpam-2118	167	52	cauchy	cauchy	PROPN
ejpam-2118	167	53	-	-	PUNCT
ejpam-2118	167	54	schwartz	schwartz	PROPN
ejpam-2118	167	55	inequality	inequality	NOUN
ejpam-2118	167	56	and	and	CCONJ
ejpam-2118	167	57	lemma	lemma	PROPN
ejpam-2118	167	58	2	2	NUM
ejpam-2118	167	59	for	for	ADP
ejpam-2118	167	60	the	the	DET
ejpam-2118	167	61	last	last	ADJ
ejpam-2118	167	62	inequality	inequality	NOUN
ejpam-2118	167	63	,	,	PUNCT
ejpam-2118	167	64	we	we	PRON
ejpam-2118	167	65	have	have	AUX
ejpam-2118	167	66	�	�	PROPN
ejpam-2118	167	67	�	�	PROPN
ejpam-2118	167	68	en	en	PROPN
ejpam-2118	167	69	�	�	PROPN
ejpam-2118	167	70	f	f	PROPN
ejpam-2118	167	71	;	;	PUNCT
ejpam-2118	167	72	x	x	PART
ejpam-2118	167	73	�	�	PROPN
ejpam-2118	168	1	−	−	PROPN
ejpam-2118	168	2	f	f	PROPN
ejpam-2118	168	3	(	(	PUNCT
ejpam-2118	168	4	x	x	NOUN
ejpam-2118	168	5	)	)	PUNCT
ejpam-2118	168	6	�	�	PROPN
ejpam-2118	168	7	�	�	PROPN
ejpam-2118	168	8	≤ω	≤ω	PROPN
ejpam-2118	168	9	�	�	PROPN
ejpam-2118	168	10	f	f	PROPN
ejpam-2118	168	11	′;δ	′;δ	PROPN
ejpam-2118	168	12	�	�	PROPN
ejpam-2118	168	13	�	�	PROPN
ejpam-2118	168	14	r	r	PROPN
ejpam-2118	168	15	en	en	PROPN
ejpam-2118	168	16	�	�	PROPN
ejpam-2118	168	17	�	�	PROPN
ejpam-2118	168	18	e1	e1	PROPN
ejpam-2118	168	19	−	−	NOUN
ejpam-2118	168	20	x	x	SYM
ejpam-2118	168	21	�	�	PROPN
ejpam-2118	168	22	2	2	NUM
ejpam-2118	168	23	;	;	PUNCT
ejpam-2118	168	24	x	x	PART
ejpam-2118	168	25	�	�	PROPN
ejpam-2118	168	26	+	+	CCONJ
ejpam-2118	168	27	1	1	NUM
ejpam-2118	168	28	δ	δ	PROPN
ejpam-2118	168	29	en	en	X
ejpam-2118	168	30	�	�	PROPN
ejpam-2118	168	31	�	�	PROPN
ejpam-2118	168	32	e1	e1	PROPN
ejpam-2118	168	33	−	−	NOUN
ejpam-2118	168	34	x	x	SYM
ejpam-2118	168	35	�	�	PROPN
ejpam-2118	168	36	2	2	NUM
ejpam-2118	168	37	;	;	PUNCT
ejpam-2118	168	38	x	x	PART
ejpam-2118	168	39	�	�	PROPN
ejpam-2118	168	40	�	�	PROPN
ejpam-2118	168	41	=	=	PROPN
ejpam-2118	168	42	ω	ω	PROPN
ejpam-2118	168	43	�	�	PROPN
ejpam-2118	168	44	f	f	PROPN
ejpam-2118	168	45	′;δ	′;δ	PROPN
ejpam-2118	168	46	�	�	PROPN
ejpam-2118	168	47	�	�	PROPN
ejpam-2118	168	48	√	√	NUM
ejpam-2118	168	49	√(1−	√(1−	PROPN
ejpam-2118	168	50	x	x	X
ejpam-2118	168	51	)	)	PUNCT
ejpam-2118	168	52	(	(	PUNCT
ejpam-2118	168	53	1−	1−	NUM
ejpam-2118	168	54	e−nx	e−nx	PROPN
ejpam-2118	168	55	)	)	PUNCT
ejpam-2118	168	56	nαn	nαn	NOUN
ejpam-2118	169	1	+	+	CCONJ
ejpam-2118	169	2	1	1	NUM
ejpam-2118	169	3	δ	δ	PROPN
ejpam-2118	169	4	(	(	PUNCT
ejpam-2118	169	5	1−	1−	NUM
ejpam-2118	169	6	x	x	SYM
ejpam-2118	169	7	)	)	PUNCT
ejpam-2118	169	8	�	�	PROPN
ejpam-2118	169	9	1−	1−	NUM
ejpam-2118	169	10	e−nx	e−nx	PROPN
ejpam-2118	169	11	�	�	PROPN
ejpam-2118	169	12	nαn	nαn	PROPN
ejpam-2118	169	13	�	�	PROPN
ejpam-2118	169	14	≤ω	≤ω	PROPN
ejpam-2118	169	15	�	�	PROPN
ejpam-2118	170	1	f	f	PROPN
ejpam-2118	170	2	′;δ	′;δ	PROPN
ejpam-2118	170	3	�	�	PROPN
ejpam-2118	170	4	�	�	PROPN
ejpam-2118	170	5	1	1	NUM
ejpam-2118	170	6	p	p	PROPN
ejpam-2118	170	7	nαn	nαn	NOUN
ejpam-2118	170	8	+	+	CCONJ
ejpam-2118	170	9	1	1	NUM
ejpam-2118	170	10	δ	δ	PROPN
ejpam-2118	170	11	1	1	NUM
ejpam-2118	170	12	nαn	nαn	PROPN
ejpam-2118	170	13	�	�	PROPN
ejpam-2118	170	14	choosing	choose	VERB
ejpam-2118	170	15	δn	δn	NOUN
ejpam-2118	170	16	=	=	SYM
ejpam-2118	170	17	�	�	PROPN
ejpam-2118	170	18	1	1	NUM
ejpam-2118	170	19	nαn	nαn	PROPN
ejpam-2118	170	20	�	�	PROPN
ejpam-2118	170	21	1/2	1/2	NUM
ejpam-2118	170	22	,	,	PUNCT
ejpam-2118	170	23	we	we	PRON
ejpam-2118	170	24	have	have	VERB
ejpam-2118	170	25	the	the	DET
ejpam-2118	170	26	inequality	inequality	NOUN
ejpam-2118	170	27	|en	|en	ADP
ejpam-2118	170	28	�	�	PROPN
ejpam-2118	170	29	f	f	PROPN
ejpam-2118	170	30	;	;	PUNCT
ejpam-2118	170	31	x	x	PART
ejpam-2118	170	32	�	�	PROPN
ejpam-2118	170	33	−	−	PROPN
ejpam-2118	170	34	f	f	PROPN
ejpam-2118	170	35	(	(	PUNCT
ejpam-2118	170	36	x)|	x)|	PROPN
ejpam-2118	170	37	≤	≤	ADJ
ejpam-2118	170	38	2	2	NUM
ejpam-2118	170	39	p	p	NOUN
ejpam-2118	170	40	nαn	nαn	PROPN
ejpam-2118	170	41	ω	ω	X
ejpam-2118	170	42	�	�	PROPN
ejpam-2118	170	43	f	f	PROPN
ejpam-2118	170	44	′	′	NOUN
ejpam-2118	170	45	;	;	PUNCT
ejpam-2118	170	46	1	1	NUM
ejpam-2118	170	47	p	p	NOUN
ejpam-2118	170	48	nαn	nαn	PROPN
ejpam-2118	170	49	�	�	PROPN
ejpam-2118	170	50	.	.	PUNCT
ejpam-2118	171	1	theorem	theorem	VERB
ejpam-2118	171	2	7	7	NUM
ejpam-2118	171	3	.	.	PUNCT
ejpam-2118	172	1	if	if	SCONJ
ejpam-2118	172	2	f	f	PROPN
ejpam-2118	172	3	∈	∈	PROPN
ejpam-2118	172	4	c2[0	c2[0	PROPN
ejpam-2118	172	5	,	,	PUNCT
ejpam-2118	172	6	1	1	NUM
ejpam-2118	172	7	]	]	PUNCT
ejpam-2118	172	8	,	,	PUNCT
ejpam-2118	172	9	then	then	ADV
ejpam-2118	172	10	for	for	ADP
ejpam-2118	172	11	all	all	DET
ejpam-2118	172	12	n	n	PRON
ejpam-2118	172	13	∈	∈	PRON
ejpam-2118	172	14	n	n	CCONJ
ejpam-2118	172	15	the	the	DET
ejpam-2118	172	16	following	follow	VERB
ejpam-2118	172	17	inequality	inequality	NOUN
ejpam-2118	172	18	holds	hold	VERB
ejpam-2118	172	19	:	:	PUNCT
ejpam-2118	172	20	|en	|en	X
ejpam-2118	172	21	(	(	PUNCT
ejpam-2118	172	22	f	f	X
ejpam-2118	172	23	;	;	PUNCT
ejpam-2118	172	24	x)−	x)−	PROPN
ejpam-2118	172	25	f	f	PROPN
ejpam-2118	172	26	(	(	PUNCT
ejpam-2118	172	27	x)|	x)|	PROPN
ejpam-2118	172	28	≤	≤	PROPN
ejpam-2118	172	29	f	f	X
ejpam-2118	173	1	′′	′′	PROPN
ejpam-2118	173	2	2nαn	2nαn	PROPN
ejpam-2118	173	3	.	.	PUNCT
ejpam-2118	174	1	(	(	PUNCT
ejpam-2118	174	2	10	10	NUM
ejpam-2118	174	3	)	)	PUNCT
ejpam-2118	174	4	proof	proof	NOUN
ejpam-2118	174	5	.	.	PUNCT
ejpam-2118	175	1	using	use	VERB
ejpam-2118	175	2	the	the	DET
ejpam-2118	175	3	taylor	taylor	PROPN
ejpam-2118	175	4	formula	formula	NOUN
ejpam-2118	175	5	,	,	PUNCT
ejpam-2118	175	6	we	we	PRON
ejpam-2118	175	7	write	write	VERB
ejpam-2118	175	8	f	f	PROPN
ejpam-2118	175	9	(	(	PUNCT
ejpam-2118	175	10	t	t	PROPN
ejpam-2118	175	11	)	)	PUNCT
ejpam-2118	176	1	=	=	SYM
ejpam-2118	176	2	f	f	PROPN
ejpam-2118	176	3	(	(	PUNCT
ejpam-2118	176	4	x	x	X
ejpam-2118	176	5	)	)	PUNCT
ejpam-2118	177	1	+	+	NUM
ejpam-2118	177	2	f	f	NOUN
ejpam-2118	177	3	′	′	NUM
ejpam-2118	177	4	(	(	PUNCT
ejpam-2118	177	5	x	x	X
ejpam-2118	177	6	)	)	PUNCT
ejpam-2118	177	7	(	(	PUNCT
ejpam-2118	177	8	t	t	PROPN
ejpam-2118	177	9	−	−	NOUN
ejpam-2118	177	10	x	x	NOUN
ejpam-2118	177	11	)	)	PUNCT
ejpam-2118	178	1	+	+	CCONJ
ejpam-2118	178	2	r	r	NOUN
ejpam-2118	178	3	f	f	X
ejpam-2118	178	4	,	,	PUNCT
ejpam-2118	178	5	x	x	PROPN
ejpam-2118	178	6	(	(	PUNCT
ejpam-2118	178	7	t	t	NOUN
ejpam-2118	178	8	)	)	PUNCT
ejpam-2118	178	9	(	(	PUNCT
ejpam-2118	178	10	11	11	NUM
ejpam-2118	178	11	)	)	PUNCT
ejpam-2118	178	12	where	where	SCONJ
ejpam-2118	178	13	r	r	NOUN
ejpam-2118	178	14	f	f	X
ejpam-2118	178	15	,	,	PUNCT
ejpam-2118	178	16	x	x	PROPN
ejpam-2118	178	17	(	(	PUNCT
ejpam-2118	178	18	t	t	NOUN
ejpam-2118	178	19	)	)	PUNCT
ejpam-2118	178	20	=	=	SYM
ejpam-2118	179	1	t	t	PROPN
ejpam-2118	179	2	∫	∫	PROPN
ejpam-2118	179	3	x	x	X
ejpam-2118	179	4	(	(	PUNCT
ejpam-2118	179	5	t	t	PROPN
ejpam-2118	179	6	−	−	PROPN
ejpam-2118	179	7	v	v	NOUN
ejpam-2118	179	8	)	)	PUNCT
ejpam-2118	179	9	f	f	PROPN
ejpam-2118	179	10	′′(v	′′(v	PROPN
ejpam-2118	179	11	)	)	PUNCT
ejpam-2118	179	12	dv	dv	PROPN
ejpam-2118	179	13	.	.	PUNCT
ejpam-2118	180	1	by	by	ADP
ejpam-2118	180	2	the	the	DET
ejpam-2118	180	3	mean	mean	ADJ
ejpam-2118	180	4	value	value	NOUN
ejpam-2118	180	5	theorem	theorem	VERB
ejpam-2118	180	6	that	that	SCONJ
ejpam-2118	180	7	there	there	PRON
ejpam-2118	180	8	exist	exist	VERB
ejpam-2118	180	9	ξt	ξt	NOUN
ejpam-2118	180	10	,	,	PUNCT
ejpam-2118	180	11	x	x	SYM
ejpam-2118	180	12	∈	∈	PROPN
ejpam-2118	180	13	(	(	PUNCT
ejpam-2118	180	14	min	min	NOUN
ejpam-2118	180	15	{	{	PUNCT
ejpam-2118	180	16	x	x	PROPN
ejpam-2118	180	17	,	,	PUNCT
ejpam-2118	180	18	t	t	PROPN
ejpam-2118	180	19	}	}	PUNCT
ejpam-2118	180	20	,	,	PUNCT
ejpam-2118	180	21	max	max	PROPN
ejpam-2118	180	22	{	{	PUNCT
ejpam-2118	180	23	x	x	PROPN
ejpam-2118	180	24	,	,	PUNCT
ejpam-2118	180	25	t	t	PROPN
ejpam-2118	180	26	}	}	PUNCT
ejpam-2118	180	27	)	)	PUNCT
ejpam-2118	180	28	,	,	PUNCT
ejpam-2118	180	29	which	which	PRON
ejpam-2118	180	30	satisfies	satisfy	VERB
ejpam-2118	180	31	r	r	NOUN
ejpam-2118	180	32	f	f	PROPN
ejpam-2118	180	33	,	,	PUNCT
ejpam-2118	180	34	x	x	PROPN
ejpam-2118	180	35	(	(	PUNCT
ejpam-2118	180	36	t	t	NOUN
ejpam-2118	180	37	)	)	PUNCT
ejpam-2118	180	38	=	=	SYM
ejpam-2118	181	1	f	f	X
ejpam-2118	181	2	′′	′′	PROPN
ejpam-2118	181	3	�	�	PROPN
ejpam-2118	181	4	ξt	ξt	PROPN
ejpam-2118	181	5	,	,	PUNCT
ejpam-2118	181	6	x	x	X
ejpam-2118	181	7	�	�	PROPN
ejpam-2118	181	8	2	2	NUM
ejpam-2118	181	9	(	(	PUNCT
ejpam-2118	181	10	t	t	NOUN
ejpam-2118	181	11	−	−	PROPN
ejpam-2118	181	12	x)2	x)2	PROPN
ejpam-2118	181	13	.	.	PUNCT
ejpam-2118	182	1	we	we	PRON
ejpam-2118	182	2	can	can	AUX
ejpam-2118	182	3	rewrite	rewrite	VERB
ejpam-2118	182	4	(	(	PUNCT
ejpam-2118	182	5	11	11	NUM
ejpam-2118	182	6	)	)	PUNCT
ejpam-2118	182	7	as	as	ADP
ejpam-2118	182	8	f	f	PROPN
ejpam-2118	182	9	(	(	PUNCT
ejpam-2118	182	10	t	t	PROPN
ejpam-2118	182	11	)	)	PUNCT
ejpam-2118	182	12	=	=	SYM
ejpam-2118	183	1	f	f	PROPN
ejpam-2118	183	2	(	(	PUNCT
ejpam-2118	183	3	x	x	X
ejpam-2118	183	4	)	)	PUNCT
ejpam-2118	184	1	+	+	NUM
ejpam-2118	184	2	f	f	NOUN
ejpam-2118	184	3	′	′	NUM
ejpam-2118	184	4	(	(	PUNCT
ejpam-2118	184	5	x	x	X
ejpam-2118	184	6	)	)	PUNCT
ejpam-2118	184	7	(	(	PUNCT
ejpam-2118	184	8	t	t	PROPN
ejpam-2118	184	9	−	−	NOUN
ejpam-2118	184	10	x	x	NOUN
ejpam-2118	184	11	)	)	PUNCT
ejpam-2118	185	1	+	+	CCONJ
ejpam-2118	185	2	f	f	X
ejpam-2118	185	3	′′	′′	PROPN
ejpam-2118	185	4	�	�	PROPN
ejpam-2118	185	5	ξt	ξt	PROPN
ejpam-2118	185	6	,	,	PUNCT
ejpam-2118	185	7	x	x	X
ejpam-2118	185	8	�	�	PROPN
ejpam-2118	185	9	2	2	NUM
ejpam-2118	185	10	(	(	PUNCT
ejpam-2118	185	11	t	t	NOUN
ejpam-2118	185	12	−	−	PROPN
ejpam-2118	185	13	x)2	x)2	NOUN
ejpam-2118	185	14	(	(	PUNCT
ejpam-2118	185	15	12	12	NUM
ejpam-2118	185	16	)	)	PUNCT
ejpam-2118	185	17	applying	apply	VERB
ejpam-2118	185	18	en	en	ADV
ejpam-2118	185	19	to	to	ADP
ejpam-2118	185	20	the	the	DET
ejpam-2118	185	21	formula	formula	NOUN
ejpam-2118	185	22	(	(	PUNCT
ejpam-2118	185	23	12	12	NUM
ejpam-2118	185	24	)	)	PUNCT
ejpam-2118	185	25	,	,	PUNCT
ejpam-2118	185	26	by	by	ADP
ejpam-2118	185	27	lemma	lemma	PROPN
ejpam-2118	185	28	2	2	NUM
ejpam-2118	185	29	,	,	PUNCT
ejpam-2118	185	30	we	we	PRON
ejpam-2118	185	31	have	have	VERB
ejpam-2118	185	32	�	�	PROPN
ejpam-2118	185	33	�	�	PROPN
ejpam-2118	185	34	en	en	PROPN
ejpam-2118	185	35	�	�	PROPN
ejpam-2118	185	36	f	f	PROPN
ejpam-2118	185	37	;	;	PUNCT
ejpam-2118	185	38	x	x	PART
ejpam-2118	185	39	�	�	PROPN
ejpam-2118	185	40	−	−	PROPN
ejpam-2118	185	41	f	f	PROPN
ejpam-2118	185	42	(	(	PUNCT
ejpam-2118	185	43	x	x	NOUN
ejpam-2118	185	44	)	)	PUNCT
ejpam-2118	185	45	�	�	PROPN
ejpam-2118	185	46	�	�	PROPN
ejpam-2118	185	47	≤en	≤en	PROPN
ejpam-2118	185	48	�	�	PROPN
ejpam-2118	185	49	�	�	PROPN
ejpam-2118	185	50	�	�	PROPN
ejpam-2118	185	51	�	�	PROPN
ejpam-2118	185	52	�	�	PROPN
ejpam-2118	185	53	f	f	PROPN
ejpam-2118	186	1	′′	′′	PROPN
ejpam-2118	186	2	�	�	PROPN
ejpam-2118	186	3	ξt	ξt	PROPN
ejpam-2118	186	4	,	,	PUNCT
ejpam-2118	186	5	x	x	PROPN
ejpam-2118	186	6	�	�	PROPN
ejpam-2118	186	7	2	2	NUM
ejpam-2118	186	8	�	�	PROPN
ejpam-2118	186	9	�	�	PROPN
ejpam-2118	186	10	�	�	PROPN
ejpam-2118	186	11	�	�	PROPN
ejpam-2118	186	12	�	�	PROPN
ejpam-2118	186	13	(	(	PUNCT
ejpam-2118	186	14	e1	e1	PROPN
ejpam-2118	186	15	−	−	NOUN
ejpam-2118	186	16	x)2	x)2	NOUN
ejpam-2118	186	17	;	;	PUNCT
ejpam-2118	186	18	x	x	X
ejpam-2118	186	19	!	!	PUNCT
ejpam-2118	186	20	≤	≤	NUM
ejpam-2118	187	1	f	f	X
ejpam-2118	187	2	′′	′′	PROPN
ejpam-2118	187	3	2	2	NUM
ejpam-2118	187	4	en	en	X
ejpam-2118	187	5	�	�	PROPN
ejpam-2118	187	6	(	(	PUNCT
ejpam-2118	187	7	e1	e1	PROPN
ejpam-2118	187	8	−	−	NOUN
ejpam-2118	187	9	x)2	x)2	NOUN
ejpam-2118	187	10	;	;	PUNCT
ejpam-2118	187	11	x	x	X
ejpam-2118	187	12	�	�	PROPN
ejpam-2118	187	13	t.	t.	PROPN
ejpam-2118	187	14	tunç	tunç	PROPN
ejpam-2118	187	15	,	,	PUNCT
ejpam-2118	187	16	e.	e.	PROPN
ejpam-2118	187	17	şimşek	şimşek	PROPN
ejpam-2118	187	18	/	/	SYM
ejpam-2118	187	19	eur	eur	PROPN
ejpam-2118	187	20	.	.	PUNCT
ejpam-2118	188	1	j.	j.	PROPN
ejpam-2118	188	2	pure	pure	PROPN
ejpam-2118	188	3	appl	appl	PROPN
ejpam-2118	188	4	.	.	PROPN
ejpam-2118	188	5	math	math	PROPN
ejpam-2118	188	6	,	,	PUNCT
ejpam-2118	188	7	7	7	NUM
ejpam-2118	188	8	(	(	PUNCT
ejpam-2118	188	9	2014	2014	NUM
ejpam-2118	188	10	)	)	PUNCT
ejpam-2118	188	11	,	,	PUNCT
ejpam-2118	188	12	419	419	NUM
ejpam-2118	188	13	-	-	SYM
ejpam-2118	188	14	428	428	NUM
ejpam-2118	188	15	427	427	NUM
ejpam-2118	188	16	=	=	SYM
ejpam-2118	188	17	f	f	X
ejpam-2118	188	18	′′	′′	PROPN
ejpam-2118	188	19	2	2	NUM
ejpam-2118	188	20	(	(	PUNCT
ejpam-2118	188	21	1−	1−	NUM
ejpam-2118	188	22	x	x	SYM
ejpam-2118	188	23	)	)	PUNCT
ejpam-2118	188	24	�	�	PROPN
ejpam-2118	188	25	1−	1−	NUM
ejpam-2118	188	26	e−nx	e−nx	PROPN
ejpam-2118	188	27	�	�	PROPN
ejpam-2118	188	28	nαn	nαn	PROPN
ejpam-2118	188	29	≤	≤	PROPN
ejpam-2118	188	30	f	f	PROPN
ejpam-2118	189	1	′′	′′	PROPN
ejpam-2118	189	2	2nαn	2nαn	PROPN
ejpam-2118	189	3	.	.	PUNCT
ejpam-2118	190	1	theorem	theorem	VERB
ejpam-2118	190	2	8	8	NUM
ejpam-2118	190	3	.	.	PUNCT
ejpam-2118	191	1	if	if	SCONJ
ejpam-2118	191	2	f	f	PROPN
ejpam-2118	191	3	∈	∈	PROPN
ejpam-2118	191	4	c[0,1	c[0,1	NOUN
ejpam-2118	191	5	]	]	X
ejpam-2118	191	6	,	,	PUNCT
ejpam-2118	191	7	then	then	ADV
ejpam-2118	191	8	for	for	ADP
ejpam-2118	191	9	all	all	DET
ejpam-2118	191	10	n	n	PRON
ejpam-2118	191	11	∈	∈	PRON
ejpam-2118	191	12	n	n	CCONJ
ejpam-2118	191	13	the	the	DET
ejpam-2118	191	14	following	follow	VERB
ejpam-2118	191	15	inequality	inequality	NOUN
ejpam-2118	191	16	holds	hold	VERB
ejpam-2118	191	17	:	:	PUNCT
ejpam-2118	192	1	‖en	‖en	PROPN
ejpam-2118	192	2	(	(	PUNCT
ejpam-2118	192	3	f	f	NOUN
ejpam-2118	192	4	)	)	PUNCT
ejpam-2118	192	5	−	−	PROPN
ejpam-2118	193	1	f	f	PROPN
ejpam-2118	193	2	‖	‖	PROPN
ejpam-2118	193	3	≤	≤	PROPN
ejpam-2118	193	4	3ω2	3ω2	NUM
ejpam-2118	193	5	�	�	PROPN
ejpam-2118	193	6	f	f	PROPN
ejpam-2118	193	7	;	;	PUNCT
ejpam-2118	193	8	1	1	NUM
ejpam-2118	193	9	p	p	NOUN
ejpam-2118	193	10	nαn	nαn	PROPN
ejpam-2118	193	11	�	�	PROPN
ejpam-2118	193	12	.	.	PUNCT
ejpam-2118	194	1	proof	proof	NOUN
ejpam-2118	194	2	.	.	PUNCT
ejpam-2118	195	1	let	let	VERB
ejpam-2118	195	2	x	x	PUNCT
ejpam-2118	195	3	∈	∈	VERB
ejpam-2118	196	1	[	[	X
ejpam-2118	196	2	0,1	0,1	NUM
ejpam-2118	196	3	]	]	PUNCT
ejpam-2118	196	4	.	.	PUNCT
ejpam-2118	197	1	for	for	ADP
ejpam-2118	197	2	0	0	NUM
ejpam-2118	197	3	<	<	X
ejpam-2118	197	4	h≤	h≤	PRON
ejpam-2118	197	5	1	1	NUM
ejpam-2118	197	6	2	2	NUM
ejpam-2118	197	7	min	min	NOUN
ejpam-2118	197	8	{	{	PUNCT
ejpam-2118	197	9	x	x	NOUN
ejpam-2118	197	10	,	,	PUNCT
ejpam-2118	197	11	1−	1−	NUM
ejpam-2118	197	12	x	x	X
ejpam-2118	197	13	}	}	PUNCT
ejpam-2118	197	14	we	we	PRON
ejpam-2118	197	15	define	define	VERB
ejpam-2118	197	16	gh	gh	PROPN
ejpam-2118	197	17	(	(	PUNCT
ejpam-2118	197	18	x	x	NOUN
ejpam-2118	197	19	)	)	PUNCT
ejpam-2118	197	20	=	=	SYM
ejpam-2118	197	21	1	1	NUM
ejpam-2118	197	22	h2	h2	NOUN
ejpam-2118	197	23	h/2	h/2	X
ejpam-2118	197	24	∫	∫	PROPN
ejpam-2118	197	25	−h/2	−h/2	PROPN
ejpam-2118	197	26	h/2	h/2	PROPN
ejpam-2118	197	27	∫	∫	PROPN
ejpam-2118	197	28	−h/2	−h/2	PROPN
ejpam-2118	197	29	�	�	PROPN
ejpam-2118	197	30	2	2	NUM
ejpam-2118	197	31	f	f	PROPN
ejpam-2118	197	32	�	�	PROPN
ejpam-2118	197	33	x	x	PUNCT
ejpam-2118	198	1	+	+	NUM
ejpam-2118	198	2	t1	t1	NOUN
ejpam-2118	198	3	+	+	CCONJ
ejpam-2118	198	4	t2	t2	PROPN
ejpam-2118	198	5	�	�	PROPN
ejpam-2118	198	6	−	−	PROPN
ejpam-2118	198	7	f	f	PROPN
ejpam-2118	198	8	�	�	PROPN
ejpam-2118	198	9	x	x	SYM
ejpam-2118	198	10	+	+	NUM
ejpam-2118	198	11	2t1	2t1	NUM
ejpam-2118	198	12	+	+	CCONJ
ejpam-2118	198	13	2t2	2t2	NUM
ejpam-2118	198	14	�	�	PROPN
ejpam-2118	198	15	d	d	NUM
ejpam-2118	198	16	t1d	t1d	PROPN
ejpam-2118	198	17	t2	t2	PROPN
ejpam-2118	198	18	.	.	PUNCT
ejpam-2118	199	1	consequently	consequently	ADV
ejpam-2118	199	2	�	�	PROPN
ejpam-2118	199	3	�	�	PROPN
ejpam-2118	199	4	g	g	PROPN
ejpam-2118	199	5	′′	′′	PROPN
ejpam-2118	199	6	(	(	PUNCT
ejpam-2118	199	7	x	x	X
ejpam-2118	199	8	)	)	PUNCT
ejpam-2118	199	9	�	�	PROPN
ejpam-2118	199	10	�	�	PROPN
ejpam-2118	199	11	=	=	SYM
ejpam-2118	199	12	�	�	PROPN
ejpam-2118	199	13	�	�	PROPN
ejpam-2118	199	14	�	�	PROPN
ejpam-2118	199	15	f	f	PROPN
ejpam-2118	199	16	(	(	PUNCT
ejpam-2118	199	17	x	x	PROPN
ejpam-2118	200	1	+	+	CCONJ
ejpam-2118	200	2	2h)−	2h)−	NUM
ejpam-2118	200	3	2	2	NUM
ejpam-2118	200	4	f	f	NOUN
ejpam-2118	200	5	(	(	PUNCT
ejpam-2118	200	6	x	x	PROPN
ejpam-2118	200	7	+	+	NUM
ejpam-2118	200	8	h	h	NOUN
ejpam-2118	200	9	)	)	PUNCT
ejpam-2118	201	1	+	+	NUM
ejpam-2118	201	2	f	f	X
ejpam-2118	201	3	(	(	PUNCT
ejpam-2118	201	4	x	x	X
ejpam-2118	201	5	)	)	PUNCT
ejpam-2118	201	6	+	+	CCONJ
ejpam-2118	201	7	�	�	PROPN
ejpam-2118	201	8	f	f	PROPN
ejpam-2118	201	9	(	(	PUNCT
ejpam-2118	201	10	x	x	PROPN
ejpam-2118	201	11	−	−	NOUN
ejpam-2118	202	1	2h)−	2h)−	NUM
ejpam-2118	202	2	2	2	NUM
ejpam-2118	202	3	f	f	NOUN
ejpam-2118	202	4	(	(	PUNCT
ejpam-2118	202	5	x	x	NOUN
ejpam-2118	202	6	−	−	PROPN
ejpam-2118	202	7	h	h	NOUN
ejpam-2118	202	8	)	)	PUNCT
ejpam-2118	203	1	+	+	NUM
ejpam-2118	203	2	f	f	X
ejpam-2118	203	3	(	(	PUNCT
ejpam-2118	203	4	x	x	X
ejpam-2118	203	5	)	)	PUNCT
ejpam-2118	203	6	�	�	PROPN
ejpam-2118	203	7	�	�	PROPN
ejpam-2118	203	8	≤	≤	ADV
ejpam-2118	203	9	2	2	NUM
ejpam-2118	203	10	δ2	δ2	VERB
ejpam-2118	203	11	ω2	ω2	ADJ
ejpam-2118	203	12	�	�	PROPN
ejpam-2118	203	13	f	f	PROPN
ejpam-2118	203	14	;	;	PUNCT
ejpam-2118	203	15	δ	δ	PROPN
ejpam-2118	203	16	�	�	PROPN
ejpam-2118	203	17	also	also	ADV
ejpam-2118	203	18	�	�	PROPN
ejpam-2118	203	19	�	�	PROPN
ejpam-2118	203	20	�	�	PROPN
ejpam-2118	203	21	∫	∫	PROPN
ejpam-2118	203	22	a	a	DET
ejpam-2118	203	23	−a	−a	ADJ
ejpam-2118	203	24	h	h	NOUN
ejpam-2118	203	25	(	(	PUNCT
ejpam-2118	203	26	t	t	PROPN
ejpam-2118	203	27	)	)	PUNCT
ejpam-2118	203	28	d	d	PROPN
ejpam-2118	203	29	t	t	PROPN
ejpam-2118	203	30	�	�	PROPN
ejpam-2118	203	31	�	�	PROPN
ejpam-2118	203	32	�	�	PROPN
ejpam-2118	203	33	≤	≤	NOUN
ejpam-2118	203	34	2a	2a	NUM
ejpam-2118	203	35	sup	sup	NOUN
ejpam-2118	203	36	u∈[−a	u∈[−a	PROPN
ejpam-2118	203	37	,	,	PUNCT
ejpam-2118	203	38	a	a	DET
ejpam-2118	203	39	]	]	X
ejpam-2118	203	40	|h	|h	X
ejpam-2118	203	41	(	(	PUNCT
ejpam-2118	203	42	u)|	u)|	NOUN
ejpam-2118	203	43	.	.	PUNCT
ejpam-2118	204	1	therefore	therefore	ADV
ejpam-2118	204	2	�	�	PROPN
ejpam-2118	204	3	�	�	PROPN
ejpam-2118	204	4	f	f	PROPN
ejpam-2118	204	5	(	(	PUNCT
ejpam-2118	204	6	x)−	x)−	PROPN
ejpam-2118	204	7	gh	gh	PROPN
ejpam-2118	204	8	(	(	PUNCT
ejpam-2118	204	9	x	x	PROPN
ejpam-2118	204	10	)	)	PUNCT
ejpam-2118	204	11	�	�	PROPN
ejpam-2118	204	12	�	�	PROPN
ejpam-2118	204	13	=	=	SYM
ejpam-2118	204	14	�	�	PROPN
ejpam-2118	204	15	�	�	PROPN
ejpam-2118	204	16	�	�	PROPN
ejpam-2118	204	17	�	�	PROPN
ejpam-2118	204	18	�	�	PROPN
ejpam-2118	204	19	�	�	PROPN
ejpam-2118	204	20	�	�	PROPN
ejpam-2118	204	21	1	1	NUM
ejpam-2118	204	22	h2	h2	PROPN
ejpam-2118	204	23	h/2	h/2	X
ejpam-2118	204	24	∫	∫	PROPN
ejpam-2118	204	25	−h/2	−h/2	PROPN
ejpam-2118	204	26	h/2	h/2	PROPN
ejpam-2118	204	27	∫	∫	PROPN
ejpam-2118	204	28	−h/2	−h/2	PROPN
ejpam-2118	204	29	�	�	PROPN
ejpam-2118	204	30	f	f	PROPN
ejpam-2118	204	31	�	�	PROPN
ejpam-2118	204	32	x	x	SYM
ejpam-2118	204	33	+	+	NUM
ejpam-2118	204	34	2t1	2t1	NUM
ejpam-2118	204	35	+	+	CCONJ
ejpam-2118	204	36	2t2	2t2	NUM
ejpam-2118	204	37	�	�	NOUN
ejpam-2118	204	38	−	−	NOUN
ejpam-2118	204	39	2	2	NUM
ejpam-2118	204	40	f	f	PROPN
ejpam-2118	204	41	�	�	PROPN
ejpam-2118	204	42	x	x	PUNCT
ejpam-2118	204	43	+	+	NUM
ejpam-2118	204	44	t1	t1	NOUN
ejpam-2118	204	45	+	+	CCONJ
ejpam-2118	204	46	t2	t2	PROPN
ejpam-2118	204	47	�	�	PROPN
ejpam-2118	204	48	+	+	NUM
ejpam-2118	204	49	f	f	X
ejpam-2118	204	50	(	(	PUNCT
ejpam-2118	204	51	x	x	X
ejpam-2118	204	52	)	)	PUNCT
ejpam-2118	205	1	d	d	X
ejpam-2118	206	1	t1d	t1d	PROPN
ejpam-2118	206	2	t2	t2	PROPN
ejpam-2118	206	3	�	�	PROPN
ejpam-2118	206	4	�	�	PROPN
ejpam-2118	206	5	�	�	PROPN
ejpam-2118	206	6	�	�	PROPN
ejpam-2118	206	7	�	�	PROPN
ejpam-2118	206	8	�	�	PROPN
ejpam-2118	206	9	�	�	PROPN
ejpam-2118	206	10	=	=	SYM
ejpam-2118	206	11	1	1	NUM
ejpam-2118	206	12	h2	h2	NOUN
ejpam-2118	206	13	h/2	h/2	X
ejpam-2118	206	14	∫	∫	PROPN
ejpam-2118	206	15	−h/2	−h/2	PROPN
ejpam-2118	206	16	h/2	h/2	PROPN
ejpam-2118	206	17	∫	∫	PROPN
ejpam-2118	206	18	−h/2	−h/2	PROPN
ejpam-2118	206	19	�	�	PROPN
ejpam-2118	206	20	�	�	PROPN
ejpam-2118	206	21	f	f	PROPN
ejpam-2118	206	22	�	�	PROPN
ejpam-2118	206	23	x	x	SYM
ejpam-2118	206	24	+	+	NUM
ejpam-2118	206	25	2t1	2t1	NUM
ejpam-2118	206	26	+	+	CCONJ
ejpam-2118	206	27	2t2	2t2	NUM
ejpam-2118	206	28	�	�	NOUN
ejpam-2118	206	29	−	−	NOUN
ejpam-2118	206	30	2	2	NUM
ejpam-2118	206	31	f	f	PROPN
ejpam-2118	206	32	�	�	PROPN
ejpam-2118	206	33	x	x	PUNCT
ejpam-2118	206	34	+	+	NUM
ejpam-2118	206	35	t1	t1	NOUN
ejpam-2118	206	36	+	+	CCONJ
ejpam-2118	206	37	t2	t2	PROPN
ejpam-2118	206	38	�	�	PROPN
ejpam-2118	207	1	+	+	NUM
ejpam-2118	207	2	f	f	X
ejpam-2118	207	3	(	(	PUNCT
ejpam-2118	207	4	x	x	NOUN
ejpam-2118	207	5	)	)	PUNCT
ejpam-2118	207	6	�	�	PROPN
ejpam-2118	207	7	�	�	PROPN
ejpam-2118	207	8	d	d	PROPN
ejpam-2118	207	9	t1d	t1d	PROPN
ejpam-2118	207	10	t2	t2	PROPN
ejpam-2118	207	11	≤ω2	≤ω2	PROPN
ejpam-2118	207	12	�	�	PROPN
ejpam-2118	207	13	f	f	PROPN
ejpam-2118	207	14	;	;	PUNCT
ejpam-2118	207	15	δ	δ	PROPN
ejpam-2118	207	16	�	�	PROPN
ejpam-2118	207	17	.	.	PUNCT
ejpam-2118	208	1	using	use	VERB
ejpam-2118	208	2	these	these	DET
ejpam-2118	208	3	inequalities	inequality	NOUN
ejpam-2118	208	4	and	and	CCONJ
ejpam-2118	208	5	(	(	PUNCT
ejpam-2118	208	6	10	10	NUM
ejpam-2118	208	7	)	)	PUNCT
ejpam-2118	208	8	we	we	PRON
ejpam-2118	208	9	have	have	VERB
ejpam-2118	208	10	en	en	ADP
ejpam-2118	208	11	�	�	PROPN
ejpam-2118	208	12	f	f	PROPN
ejpam-2118	208	13	�	�	PROPN
ejpam-2118	209	1	−	−	PROPN
ejpam-2118	209	2	f	f	PROPN
ejpam-2118	209	3	≤	≤	PROPN
ejpam-2118	209	4	en	en	ADP
ejpam-2118	209	5	�	�	PROPN
ejpam-2118	209	6	f	f	PROPN
ejpam-2118	209	7	−	−	PROPN
ejpam-2118	209	8	gh	gh	PROPN
ejpam-2118	209	9	�	�	PROPN
ejpam-2118	209	10	+	+	CCONJ
ejpam-2118	209	11	en	en	PROPN
ejpam-2118	209	12	�	�	PROPN
ejpam-2118	209	13	gh	gh	PROPN
ejpam-2118	209	14	�	�	PROPN
ejpam-2118	209	15	−	−	PROPN
ejpam-2118	210	1	gh	gh	PROPN
ejpam-2118	210	2	+	+	PROPN
ejpam-2118	210	3	f	f	PROPN
ejpam-2118	210	4	−	−	PROPN
ejpam-2118	210	5	gh	gh	PROPN
ejpam-2118	210	6	≤	≤	PROPN
ejpam-2118	210	7	en	en	ADP
ejpam-2118	210	8	f	f	PROPN
ejpam-2118	210	9	−	−	PROPN
ejpam-2118	210	10	gh	gh	PROPN
ejpam-2118	210	11	+	+	PROPN
ejpam-2118	210	12	en	en	PROPN
ejpam-2118	210	13	�	�	PROPN
ejpam-2118	210	14	gh	gh	PROPN
ejpam-2118	210	15	�	�	PROPN
ejpam-2118	210	16	−	−	PROPN
ejpam-2118	211	1	gh	gh	PROPN
ejpam-2118	211	2	+	+	PROPN
ejpam-2118	211	3	f	f	PROPN
ejpam-2118	211	4	−	−	PROPN
ejpam-2118	211	5	gh	gh	PROPN
ejpam-2118	211	6	=	=	PROPN
ejpam-2118	211	7	2	2	PROPN
ejpam-2118	211	8	f	f	NOUN
ejpam-2118	211	9	−	−	PROPN
ejpam-2118	211	10	gh	gh	PROPN
ejpam-2118	211	11	+	+	PROPN
ejpam-2118	211	12	en	en	PROPN
ejpam-2118	211	13	�	�	PROPN
ejpam-2118	211	14	gh	gh	PROPN
ejpam-2118	211	15	�	�	PROPN
ejpam-2118	211	16	−	−	PROPN
ejpam-2118	211	17	gh	gh	PROPN
ejpam-2118	211	18	≤	≤	PROPN
ejpam-2118	211	19	2ω2	2ω2	NUM
ejpam-2118	211	20	�	�	PROPN
ejpam-2118	211	21	f	f	PROPN
ejpam-2118	211	22	;	;	PUNCT
ejpam-2118	211	23	δ	δ	PROPN
ejpam-2118	211	24	�	�	PROPN
ejpam-2118	211	25	+	+	CCONJ
ejpam-2118	211	26	‖g	‖g	PROPN
ejpam-2118	211	27	′′h	′′h	NOUN
ejpam-2118	211	28	‖	‖	VERB
ejpam-2118	211	29	2nαn	2nαn	NOUN
ejpam-2118	211	30	≤2ω2	≤2ω2	X
ejpam-2118	211	31	�	�	PROPN
ejpam-2118	211	32	f	f	PROPN
ejpam-2118	211	33	;	;	PUNCT
ejpam-2118	211	34	δ	δ	PROPN
ejpam-2118	211	35	�	�	PROPN
ejpam-2118	211	36	+	+	CCONJ
ejpam-2118	211	37	1	1	NUM
ejpam-2118	211	38	2nαn	2nαn	NUM
ejpam-2118	211	39	2	2	NUM
ejpam-2118	211	40	δ2	δ2	VERB
ejpam-2118	211	41	ω2	ω2	ADJ
ejpam-2118	211	42	�	�	PROPN
ejpam-2118	211	43	f	f	PROPN
ejpam-2118	211	44	;	;	PUNCT
ejpam-2118	211	45	δ	δ	PROPN
ejpam-2118	211	46	�	�	PROPN
ejpam-2118	211	47	=	=	SYM
ejpam-2118	211	48	ω2	ω2	PROPN
ejpam-2118	211	49	�	�	PROPN
ejpam-2118	211	50	f	f	PROPN
ejpam-2118	211	51	;	;	PUNCT
ejpam-2118	211	52	δ	δ	PROPN
ejpam-2118	211	53	�	�	PROPN
ejpam-2118	211	54	�	�	PROPN
ejpam-2118	211	55	2	2	NUM
ejpam-2118	211	56	+	+	NUM
ejpam-2118	211	57	1	1	NUM
ejpam-2118	211	58	nαnδ2	nαnδ2	NOUN
ejpam-2118	211	59	�	�	NOUN
ejpam-2118	211	60	choosing	choose	VERB
ejpam-2118	211	61	δn	δn	NOUN
ejpam-2118	211	62	=	=	SYM
ejpam-2118	211	63	�	�	PROPN
ejpam-2118	211	64	1	1	NUM
ejpam-2118	211	65	nαn	nαn	PROPN
ejpam-2118	211	66	�	�	PROPN
ejpam-2118	211	67	1/2	1/2	NUM
ejpam-2118	211	68	we	we	PRON
ejpam-2118	211	69	get	get	VERB
ejpam-2118	211	70	the	the	DET
ejpam-2118	211	71	desired	desire	VERB
ejpam-2118	211	72	estimate	estimate	NOUN
ejpam-2118	211	73	.	.	PUNCT
ejpam-2118	212	1	references	reference	NOUN
ejpam-2118	212	2	428	428	NUM
ejpam-2118	212	3	references	reference	NOUN
ejpam-2118	212	4	[	[	X
ejpam-2118	212	5	1	1	NUM
ejpam-2118	212	6	]	]	X
ejpam-2118	212	7	f	f	PROPN
ejpam-2118	212	8	altomare	altomare	PROPN
ejpam-2118	212	9	and	and	CCONJ
ejpam-2118	212	10	m	m	AUX
ejpam-2118	212	11	campiti	campiti	NOUN
ejpam-2118	212	12	.	.	PUNCT
ejpam-2118	213	1	korovkin	korovkin	NOUN
ejpam-2118	213	2	-	-	PUNCT
ejpam-2118	213	3	type	type	NOUN
ejpam-2118	213	4	approximation	approximation	NOUN
ejpam-2118	213	5	theory	theory	NOUN
ejpam-2118	213	6	and	and	CCONJ
ejpam-2118	213	7	its	its	PRON
ejpam-2118	213	8	applications	application	NOUN
ejpam-2118	213	9	.	.	PUNCT
ejpam-2118	214	1	gruyter	gruyter	NOUN
ejpam-2118	214	2	studies	study	NOUN
ejpam-2118	214	3	in	in	ADP
ejpam-2118	214	4	mathematics	mathematics	PROPN
ejpam-2118	214	5	,	,	PUNCT
ejpam-2118	214	6	berlin	berlin	PROPN
ejpam-2118	214	7	,	,	PUNCT
ejpam-2118	214	8	1994	1994	NUM
ejpam-2118	214	9	.	.	PUNCT
ejpam-2118	215	1	[	[	X
ejpam-2118	215	2	2	2	NUM
ejpam-2118	215	3	]	]	SYM
ejpam-2118	215	4	s	s	X
ejpam-2118	215	5	n	n	PRON
ejpam-2118	215	6	bernstein	bernstein	PROPN
ejpam-2118	215	7	.	.	PUNCT
ejpam-2118	216	1	demonstration	demonstration	NOUN
ejpam-2118	216	2	du	du	PROPN
ejpam-2118	216	3	theoreme	theoreme	PROPN
ejpam-2118	216	4	de	de	PROPN
ejpam-2118	216	5	weierstrass	weierstrass	PROPN
ejpam-2118	216	6	fondee	fondee	PROPN
ejpam-2118	216	7	sur	sur	PROPN
ejpam-2118	216	8	le	le	X
ejpam-2118	216	9	calcul	calcul	PROPN
ejpam-2118	216	10	de	de	PROPN
ejpam-2118	216	11	probabilites	probabilites	PROPN
ejpam-2118	216	12	.	.	PUNCT
ejpam-2118	217	1	communications	communication	NOUN
ejpam-2118	217	2	of	of	ADP
ejpam-2118	217	3	the	the	DET
ejpam-2118	217	4	kharkov	kharkov	PROPN
ejpam-2118	217	5	mathematical	mathematical	PROPN
ejpam-2118	217	6	society	society	NOUN
ejpam-2118	217	7	,	,	PUNCT
ejpam-2118	217	8	13(2):1–2	13(2):1–2	PROPN
ejpam-2118	217	9	,	,	PUNCT
ejpam-2118	217	10	1912	1912	NUM
ejpam-2118	217	11	.	.	PUNCT
ejpam-2118	218	1	[	[	X
ejpam-2118	218	2	3	3	X
ejpam-2118	218	3	]	]	PUNCT
ejpam-2118	218	4	a	a	DET
ejpam-2118	218	5	ciupa	ciupa	NOUN
ejpam-2118	218	6	.	.	PUNCT
ejpam-2118	219	1	a	a	DET
ejpam-2118	219	2	voronovskayatype	voronovskayatype	NOUN
ejpam-2118	219	3	theorem	theorem	NOUN
ejpam-2118	219	4	for	for	ADP
ejpam-2118	219	5	a	a	DET
ejpam-2118	219	6	positive	positive	ADJ
ejpam-2118	219	7	linear	linear	NOUN
ejpam-2118	219	8	operators	operator	NOUN
ejpam-2118	219	9	.	.	PUNCT
ejpam-2118	220	1	international	international	ADJ
ejpam-2118	220	2	journal	journal	PROPN
ejpam-2118	220	3	of	of	ADP
ejpam-2118	220	4	mathematics	mathematics	PROPN
ejpam-2118	220	5	and	and	CCONJ
ejpam-2118	220	6	mathematical	mathematical	ADJ
ejpam-2118	220	7	sciences	science	NOUN
ejpam-2118	220	8	,	,	PUNCT
ejpam-2118	220	9	2006(id	2006(id	NUM
ejpam-2118	220	10	42368):1–7	42368):1–7	NUM
ejpam-2118	220	11	,	,	PUNCT
ejpam-2118	220	12	2006	2006	NUM
ejpam-2118	220	13	.	.	PUNCT
ejpam-2118	221	1	[	[	X
ejpam-2118	221	2	4	4	NUM
ejpam-2118	221	3	]	]	X
ejpam-2118	221	4	j	j	PROPN
ejpam-2118	221	5	favard	favard	PROPN
ejpam-2118	221	6	.	.	PUNCT
ejpam-2118	222	1	sur	sur	PROPN
ejpam-2118	222	2	les	les	PROPN
ejpam-2118	222	3	multiplicateurs	multiplicateur	NOUN
ejpam-2118	222	4	d’interpolation	d’interpolation	NOUN
ejpam-2118	222	5	.	.	PUNCT
ejpam-2118	223	1	journal	journal	PROPN
ejpam-2118	223	2	de	de	PROPN
ejpam-2118	223	3	mathématiques	mathématiques	PROPN
ejpam-2118	223	4	pures	pure	NOUN
ejpam-2118	223	5	et	et	PROPN
ejpam-2118	223	6	appliquées	appliquées	PROPN
ejpam-2118	223	7	,	,	PUNCT
ejpam-2118	223	8	23(9):219–247	23(9):219–247	PROPN
ejpam-2118	223	9	,	,	PUNCT
ejpam-2118	223	10	1944	1944	NUM
ejpam-2118	223	11	.	.	PUNCT
ejpam-2118	224	1	[	[	X
ejpam-2118	224	2	5	5	NUM
ejpam-2118	224	3	]	]	PUNCT
ejpam-2118	224	4	a	a	DET
ejpam-2118	224	5	aral	aral	PROPN
ejpam-2118	224	6	-	-	PUNCT
ejpam-2118	224	7	v	v	NOUN
ejpam-2118	224	8	gupta	gupta	NOUN
ejpam-2118	224	9	and	and	CCONJ
ejpam-2118	224	10	r	r	NOUN
ejpam-2118	224	11	p	p	PROPN
ejpam-2118	224	12	agarwal	agarwal	PROPN
ejpam-2118	224	13	.	.	PUNCT
ejpam-2118	225	1	applications	application	NOUN
ejpam-2118	225	2	of	of	ADP
ejpam-2118	225	3	q	q	NOUN
ejpam-2118	225	4	-	-	NOUN
ejpam-2118	225	5	calculus	calculus	NOUN
ejpam-2118	225	6	in	in	ADP
ejpam-2118	225	7	operator	operator	NOUN
ejpam-2118	225	8	theory	theory	NOUN
ejpam-2118	225	9	.	.	PUNCT
ejpam-2118	226	1	springer	springer	NOUN
ejpam-2118	226	2	,	,	PUNCT
ejpam-2118	226	3	berlin	berlin	PROPN
ejpam-2118	226	4	,	,	PUNCT
ejpam-2118	226	5	2013	2013	NUM
ejpam-2118	226	6	.	.	PUNCT
ejpam-2118	227	1	[	[	X
ejpam-2118	227	2	6	6	NUM
ejpam-2118	227	3	]	]	PUNCT
ejpam-2118	227	4	p	p	X
ejpam-2118	227	5	p	p	PROPN
ejpam-2118	227	6	korovkin	korovkin	NOUN
ejpam-2118	227	7	.	.	PUNCT
ejpam-2118	228	1	linear	linear	PROPN
ejpam-2118	228	2	operators	operator	NOUN
ejpam-2118	228	3	and	and	CCONJ
ejpam-2118	228	4	approximation	approximation	NOUN
ejpam-2118	228	5	theory	theory	NOUN
ejpam-2118	228	6	.	.	PUNCT
ejpam-2118	229	1	hindustan	hindustan	PROPN
ejpam-2118	229	2	publishing	publishing	PROPN
ejpam-2118	229	3	corporation	corporation	PROPN
ejpam-2118	229	4	,	,	PUNCT
ejpam-2118	229	5	delhi	delhi	PROPN
ejpam-2118	229	6	,	,	PUNCT
ejpam-2118	229	7	1960	1960	NUM
ejpam-2118	229	8	.	.	PUNCT
ejpam-2118	230	1	[	[	X
ejpam-2118	230	2	7	7	X
ejpam-2118	230	3	]	]	X
ejpam-2118	230	4	g	g	PROPN
ejpam-2118	230	5	g	g	PROPN
ejpam-2118	230	6	lorentz	lorentz	PROPN
ejpam-2118	230	7	.	.	PUNCT
ejpam-2118	231	1	bernstein	bernstein	PROPN
ejpam-2118	231	2	polynomials	polynomials	PROPN
ejpam-2118	231	3	.	.	PUNCT
ejpam-2118	232	1	chelsea	chelsea	PROPN
ejpam-2118	232	2	publishing	publishing	PROPN
ejpam-2118	232	3	company	company	NOUN
ejpam-2118	232	4	,	,	PUNCT
ejpam-2118	232	5	new	new	PROPN
ejpam-2118	232	6	york	york	PROPN
ejpam-2118	232	7	,	,	PUNCT
ejpam-2118	232	8	1986	1986	NUM
ejpam-2118	232	9	.	.	PUNCT
ejpam-2118	233	1	[	[	X
ejpam-2118	233	2	8	8	NUM
ejpam-2118	233	3	]	]	X
ejpam-2118	233	4	g	g	PROPN
ejpam-2118	233	5	m	m	PROPN
ejpam-2118	233	6	mirakyan	mirakyan	NOUN
ejpam-2118	233	7	.	.	PUNCT
ejpam-2118	234	1	approximation	approximation	NOUN
ejpam-2118	234	2	of	of	ADP
ejpam-2118	234	3	continuous	continuous	ADJ
ejpam-2118	234	4	functions	function	NOUN
ejpam-2118	234	5	with	with	ADP
ejpam-2118	234	6	the	the	DET
ejpam-2118	234	7	aid	aid	NOUN
ejpam-2118	234	8	of	of	ADP
ejpam-2118	234	9	polynomials	polynomial	NOUN
ejpam-2118	234	10	of	of	ADP
ejpam-2118	234	11	the	the	DET
ejpam-2118	234	12	form	form	NOUN
ejpam-2118	234	13	e−nx	e−nx	NOUN
ejpam-2118	234	14	∑mn	∑mn	NOUN
ejpam-2118	235	1	k=0	k=0	PROPN
ejpam-2118	235	2	ck	ck	PROPN
ejpam-2118	235	3	,	,	PUNCT
ejpam-2118	235	4	n	n	X
ejpam-2118	235	5	xk	xk	PROPN
ejpam-2118	235	6	.	.	PROPN
ejpam-2118	235	7	comptes	compte	VERB
ejpam-2118	235	8	rendus	rendus	PROPN
ejpam-2118	235	9	de	de	PROPN
ejpam-2118	235	10	l’académie	l’académie	PROPN
ejpam-2118	235	11	des	des	PROPN
ejpam-2118	235	12	sciences	sciences	PROPN
ejpam-2118	235	13	de	de	X
ejpam-2118	235	14	l’urss	l’urss	PROPN
ejpam-2118	235	15	,	,	PUNCT
ejpam-2118	235	16	31(2):201	31(2):201	NUM
ejpam-2118	235	17	–	–	PUNCT
ejpam-2118	235	18	205	205	NUM
ejpam-2118	235	19	,	,	PUNCT
ejpam-2118	235	20	1941	1941	NUM
ejpam-2118	235	21	.	.	PUNCT
ejpam-2118	236	1	[	[	X
ejpam-2118	236	2	9	9	NUM
ejpam-2118	236	3	]	]	X
ejpam-2118	236	4	g	g	PROPN
ejpam-2118	236	5	nowak	nowak	PROPN
ejpam-2118	236	6	and	and	CCONJ
ejpam-2118	236	7	v	v	ADP
ejpam-2118	236	8	gupta	gupta	PROPN
ejpam-2118	236	9	.	.	PUNCT
ejpam-2118	237	1	the	the	DET
ejpam-2118	237	2	rate	rate	NOUN
ejpam-2118	237	3	of	of	ADP
ejpam-2118	237	4	pointwise	pointwise	NOUN
ejpam-2118	237	5	approximation	approximation	NOUN
ejpam-2118	237	6	of	of	ADP
ejpam-2118	237	7	positive	positive	ADJ
ejpam-2118	237	8	linear	linear	PROPN
ejpam-2118	237	9	operators	operator	NOUN
ejpam-2118	237	10	based	base	VERB
ejpam-2118	237	11	on	on	ADP
ejpam-2118	237	12	q	q	NOUN
ejpam-2118	237	13	-	-	PUNCT
ejpam-2118	237	14	integer	integer	NOUN
ejpam-2118	237	15	.	.	PUNCT
ejpam-2118	238	1	ukrainian	ukrainian	ADJ
ejpam-2118	238	2	mathematical	mathematical	ADJ
ejpam-2118	238	3	journal	journal	NOUN
ejpam-2118	238	4	,	,	PUNCT
ejpam-2118	238	5	63(3):350–360	63(3):350–360	PROPN
ejpam-2118	238	6	,	,	PUNCT
ejpam-2118	238	7	2011	2011	NUM
ejpam-2118	238	8	.	.	PUNCT
ejpam-2118	239	1	[	[	X
ejpam-2118	239	2	10	10	NUM
ejpam-2118	239	3	]	]	SYM
ejpam-2118	239	4	s	s	VERB
ejpam-2118	239	5	ostrovska	ostrovska	NOUN
ejpam-2118	239	6	.	.	PUNCT
ejpam-2118	240	1	on	on	ADP
ejpam-2118	240	2	the	the	DET
ejpam-2118	240	3	limit	limit	NOUN
ejpam-2118	240	4	q	q	NOUN
ejpam-2118	240	5	-	-	PUNCT
ejpam-2118	240	6	bernstein	bernstein	PROPN
ejpam-2118	240	7	operators	operators	PROPN
ejpam-2118	240	8	.	.	PUNCT
ejpam-2118	241	1	mathematica	mathematica	PROPN
ejpam-2118	241	2	balkanica	balkanica	PROPN
ejpam-2118	241	3	,	,	PUNCT
ejpam-2118	241	4	18(1	18(1	PROPN
ejpam-2118	241	5	-	-	PUNCT
ejpam-2118	241	6	2):165	2):165	NUM
ejpam-2118	241	7	–	–	PUNCT
ejpam-2118	241	8	172	172	NUM
ejpam-2118	241	9	,	,	PUNCT
ejpam-2118	241	10	2004	2004	NUM
ejpam-2118	241	11	.	.	PUNCT
ejpam-2118	242	1	[	[	X
ejpam-2118	242	2	11	11	NUM
ejpam-2118	242	3	]	]	X
ejpam-2118	242	4	r	r	NOUN
ejpam-2118	242	5	paltanea	paltanea	NOUN
ejpam-2118	242	6	.	.	PUNCT
ejpam-2118	243	1	approximation	approximation	NOUN
ejpam-2118	243	2	theory	theory	NOUN
ejpam-2118	243	3	using	use	VERB
ejpam-2118	243	4	positive	positive	ADJ
ejpam-2118	243	5	linear	linear	PROPN
ejpam-2118	243	6	operators	operator	NOUN
ejpam-2118	243	7	.	.	PUNCT
ejpam-2118	244	1	birkhauser	birkhauser	PROPN
ejpam-2118	244	2	,	,	PUNCT
ejpam-2118	244	3	boston	boston	PROPN
ejpam-2118	244	4	,	,	PUNCT
ejpam-2118	244	5	2004	2004	NUM
ejpam-2118	244	6	.	.	PUNCT
ejpam-2118	245	1	[	[	X
ejpam-2118	245	2	12	12	NUM
ejpam-2118	245	3	]	]	X
ejpam-2118	245	4	g	g	PROPN
ejpam-2118	245	5	m	m	PROPN
ejpam-2118	245	6	phillips	phillips	PROPN
ejpam-2118	245	7	.	.	PUNCT
ejpam-2118	246	1	bernstein	bernstein	PROPN
ejpam-2118	246	2	polynomials	polynomials	PROPN
ejpam-2118	246	3	based	base	VERB
ejpam-2118	246	4	on	on	ADP
ejpam-2118	246	5	the	the	DET
ejpam-2118	246	6	q	q	NOUN
ejpam-2118	246	7	-	-	PUNCT
ejpam-2118	246	8	integers	integer	NOUN
ejpam-2118	246	9	.	.	PUNCT
ejpam-2118	247	1	annals	annal	NOUN
ejpam-2118	247	2	of	of	ADP
ejpam-2118	247	3	numerical	numerical	ADJ
ejpam-2118	247	4	mathematics	mathematic	NOUN
ejpam-2118	247	5	,	,	PUNCT
ejpam-2118	247	6	4(1	4(1	NOUN
ejpam-2118	247	7	-	-	SYM
ejpam-2118	247	8	4	4	NUM
ejpam-2118	247	9	)	)	PUNCT
ejpam-2118	247	10	,	,	PUNCT
ejpam-2118	247	11	1997	1997	NUM
ejpam-2118	247	12	.	.	PUNCT
ejpam-2118	248	1	[	[	X
ejpam-2118	248	2	13	13	NUM
ejpam-2118	248	3	]	]	SYM
ejpam-2118	248	4	l	l	NOUN
ejpam-2118	248	5	rempulska	rempulska	NOUN
ejpam-2118	248	6	and	and	CCONJ
ejpam-2118	248	7	m	m	NOUN
ejpam-2118	248	8	skorupka	skorupka	NOUN
ejpam-2118	248	9	.	.	PUNCT
ejpam-2118	249	1	the	the	DET
ejpam-2118	249	2	voronovskaya	voronovskaya	NOUN
ejpam-2118	249	3	theorem	theorem	VERB
ejpam-2118	249	4	for	for	ADP
ejpam-2118	249	5	some	some	DET
ejpam-2118	249	6	operators	operator	NOUN
ejpam-2118	249	7	of	of	ADP
ejpam-2118	249	8	the	the	DET
ejpam-2118	249	9	szasz	szasz	NOUN
ejpam-2118	249	10	-	-	PUNCT
ejpam-2118	249	11	mirakyan	mirakyan	ADJ
ejpam-2118	249	12	type	type	NOUN
ejpam-2118	249	13	.	.	PUNCT
ejpam-2118	250	1	le	le	PROPN
ejpam-2118	250	2	matematiche	matematiche	PROPN
ejpam-2118	250	3	,	,	PUNCT
ejpam-2118	250	4	l(2):251–261	l(2):251–261	NOUN
ejpam-2118	250	5	,	,	PUNCT
ejpam-2118	250	6	1995	1995	NUM
ejpam-2118	250	7	.	.	PUNCT
ejpam-2118	251	1	[	[	X
ejpam-2118	251	2	14	14	NUM
ejpam-2118	251	3	]	]	X
ejpam-2118	251	4	d	d	PROPN
ejpam-2118	251	5	d	d	PROPN
ejpam-2118	251	6	stancu	stancu	PROPN
ejpam-2118	251	7	.	.	PUNCT
ejpam-2118	252	1	approximation	approximation	NOUN
ejpam-2118	252	2	of	of	ADP
ejpam-2118	252	3	functions	function	NOUN
ejpam-2118	252	4	by	by	ADP
ejpam-2118	252	5	a	a	DET
ejpam-2118	252	6	new	new	ADJ
ejpam-2118	252	7	class	class	NOUN
ejpam-2118	252	8	of	of	ADP
ejpam-2118	252	9	linear	linear	ADJ
ejpam-2118	252	10	polynomial	polynomial	ADJ
ejpam-2118	252	11	operator	operator	NOUN
ejpam-2118	252	12	.	.	PUNCT
ejpam-2118	253	1	revue	revue	PROPN
ejpam-2118	253	2	roumaine	roumaine	NOUN
ejpam-2118	253	3	de	de	X
ejpam-2118	253	4	mathématiques	mathématique	NOUN
ejpam-2118	253	5	pures	pure	NOUN
ejpam-2118	253	6	et	et	PROPN
ejpam-2118	253	7	appliquées	appliquées	PROPN
ejpam-2118	253	8	,	,	PUNCT
ejpam-2118	253	9	13(8):1173–1194	13(8):1173–1194	NUM
ejpam-2118	253	10	,	,	PUNCT
ejpam-2118	253	11	1968	1968	NUM
ejpam-2118	253	12	.	.	PUNCT
ejpam-2118	254	1	[	[	X
ejpam-2118	254	2	15	15	NUM
ejpam-2118	254	3	]	]	X
ejpam-2118	254	4	o	o	X
ejpam-2118	254	5	szasz	szasz	NOUN
ejpam-2118	254	6	.	.	PUNCT
ejpam-2118	255	1	generalizations	generalization	NOUN
ejpam-2118	255	2	of	of	ADP
ejpam-2118	255	3	s.	s.	PROPN
ejpam-2118	255	4	bernstein	bernstein	PROPN
ejpam-2118	255	5	’s	’s	PART
ejpam-2118	255	6	polynomials	polynomial	NOUN
ejpam-2118	255	7	to	to	ADP
ejpam-2118	255	8	the	the	DET
ejpam-2118	255	9	infinite	infinite	ADJ
ejpam-2118	255	10	interval	interval	NOUN
ejpam-2118	255	11	.	.	PUNCT
ejpam-2118	256	1	journal	journal	PROPN
ejpam-2118	256	2	of	of	ADP
ejpam-2118	256	3	research	research	NOUN
ejpam-2118	256	4	of	of	ADP
ejpam-2118	256	5	the	the	DET
ejpam-2118	256	6	national	national	PROPN
ejpam-2118	256	7	bureau	bureau	PROPN
ejpam-2118	256	8	of	of	ADP
ejpam-2118	256	9	standards	standard	NOUN
ejpam-2118	256	10	,	,	PUNCT
ejpam-2118	256	11	45(3):239–245	45(3):239–245	PROPN
ejpam-2118	256	12	,	,	PUNCT
ejpam-2118	256	13	1950	1950	NUM
ejpam-2118	256	14	.	.	PUNCT