id	sid	tid	token	lemma	pos
ejpam-2402	1	1	compile	compile	NOUN
ejpam-2402	1	2	/	/	SYM
ejpam-2402	1	3	output.dvi	output.dvi	NOUN
ejpam-2402	1	4	european	european	ADJ
ejpam-2402	1	5	journal	journal	NOUN
ejpam-2402	1	6	of	of	ADP
ejpam-2402	1	7	pure	pure	ADJ
ejpam-2402	1	8	and	and	CCONJ
ejpam-2402	1	9	applied	apply	VERB
ejpam-2402	1	10	mathematics	mathematic	NOUN
ejpam-2402	1	11	vol	vol	NOUN
ejpam-2402	1	12	.	.	PROPN
ejpam-2402	2	1	9	9	NUM
ejpam-2402	2	2	,	,	PUNCT
ejpam-2402	2	3	no	no	INTJ
ejpam-2402	2	4	.	.	NOUN
ejpam-2402	2	5	3	3	NUM
ejpam-2402	2	6	,	,	PUNCT
ejpam-2402	2	7	2016	2016	NUM
ejpam-2402	2	8	,	,	PUNCT
ejpam-2402	2	9	322	322	NUM
ejpam-2402	2	10	-	-	SYM
ejpam-2402	2	11	332	332	NUM
ejpam-2402	2	12	issn	issn	PROPN
ejpam-2402	2	13	1307	1307	NUM
ejpam-2402	2	14	-	-	SYM
ejpam-2402	2	15	5543	5543	NUM
ejpam-2402	2	16	–	–	PUNCT
ejpam-2402	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2402	3	1	the	the	DET
ejpam-2402	3	2	exact	exact	ADJ
ejpam-2402	3	3	order	order	NOUN
ejpam-2402	3	4	of	of	ADP
ejpam-2402	3	5	approximation	approximation	NOUN
ejpam-2402	3	6	for	for	ADP
ejpam-2402	3	7	bivariate	bivariate	ADJ
ejpam-2402	3	8	complex	complex	ADJ
ejpam-2402	3	9	bernsteinschurer	bernsteinschurer	ADJ
ejpam-2402	3	10	polynomials	polynomial	NOUN
ejpam-2402	3	11	nurhayat	nurhayat	ADJ
ejpam-2402	3	12	i̇spir	i̇spir	PROPN
ejpam-2402	3	13	,	,	PUNCT
ejpam-2402	3	14	şule	şule	PROPN
ejpam-2402	3	15	yüksel	yüksel	PROPN
ejpam-2402	3	16	güngör∗	güngör∗	PROPN
ejpam-2402	3	17	department	department	PROPN
ejpam-2402	3	18	of	of	ADP
ejpam-2402	3	19	mathematics	mathematic	NOUN
ejpam-2402	3	20	,	,	PUNCT
ejpam-2402	3	21	faculty	faculty	NOUN
ejpam-2402	3	22	of	of	ADP
ejpam-2402	3	23	science	science	NOUN
ejpam-2402	3	24	,	,	PUNCT
ejpam-2402	3	25	gazi	gazi	PROPN
ejpam-2402	3	26	university	university	PROPN
ejpam-2402	3	27	,	,	PUNCT
ejpam-2402	3	28	ankara	ankara	PROPN
ejpam-2402	3	29	,	,	PUNCT
ejpam-2402	3	30	turkey	turkey	PROPN
ejpam-2402	3	31	abstract	abstract	NOUN
ejpam-2402	3	32	.	.	PUNCT
ejpam-2402	4	1	in	in	ADP
ejpam-2402	4	2	this	this	DET
ejpam-2402	4	3	paper	paper	NOUN
ejpam-2402	4	4	we	we	PRON
ejpam-2402	4	5	study	study	VERB
ejpam-2402	4	6	the	the	DET
ejpam-2402	4	7	approximation	approximation	NOUN
ejpam-2402	4	8	properties	property	NOUN
ejpam-2402	4	9	of	of	ADP
ejpam-2402	4	10	the	the	DET
ejpam-2402	4	11	tensor	tensor	NOUN
ejpam-2402	4	12	product	product	NOUN
ejpam-2402	4	13	kind	kind	ADV
ejpam-2402	4	14	bivariate	bivariate	ADJ
ejpam-2402	4	15	complex	complex	ADJ
ejpam-2402	4	16	bernstein	bernstein	NOUN
ejpam-2402	4	17	-	-	PUNCT
ejpam-2402	4	18	schurer	schurer	NOUN
ejpam-2402	4	19	polynomials	polynomial	NOUN
ejpam-2402	4	20	.	.	PUNCT
ejpam-2402	5	1	we	we	PRON
ejpam-2402	5	2	obtain	obtain	VERB
ejpam-2402	5	3	the	the	DET
ejpam-2402	5	4	order	order	NOUN
ejpam-2402	5	5	of	of	ADP
ejpam-2402	5	6	simultaneous	simultaneous	ADJ
ejpam-2402	5	7	approximation	approximation	NOUN
ejpam-2402	5	8	and	and	CCONJ
ejpam-2402	5	9	voronovskaja	voronovskaja	NOUN
ejpam-2402	5	10	-	-	PUNCT
ejpam-2402	5	11	type	type	NOUN
ejpam-2402	5	12	results	result	NOUN
ejpam-2402	5	13	with	with	ADP
ejpam-2402	5	14	quantitative	quantitative	ADJ
ejpam-2402	5	15	estimate	estimate	NOUN
ejpam-2402	5	16	for	for	ADP
ejpam-2402	5	17	bivariate	bivariate	ADJ
ejpam-2402	5	18	complex	complex	ADJ
ejpam-2402	5	19	bernstein	bernstein	NOUN
ejpam-2402	5	20	-	-	PUNCT
ejpam-2402	5	21	schurer	schurer	NOUN
ejpam-2402	5	22	polynomials	polynomial	NOUN
ejpam-2402	5	23	attached	attach	VERB
ejpam-2402	5	24	to	to	ADP
ejpam-2402	5	25	analytic	analytic	ADJ
ejpam-2402	5	26	functions	function	NOUN
ejpam-2402	5	27	on	on	ADP
ejpam-2402	5	28	compact	compact	ADJ
ejpam-2402	5	29	polydisks	polydisk	NOUN
ejpam-2402	5	30	.	.	PUNCT
ejpam-2402	6	1	2010	2010	NUM
ejpam-2402	6	2	mathematics	mathematic	NOUN
ejpam-2402	6	3	subject	subject	NOUN
ejpam-2402	6	4	classifications	classification	NOUN
ejpam-2402	6	5	:	:	PUNCT
ejpam-2402	6	6	30e10	30e10	NUM
ejpam-2402	6	7	,	,	PUNCT
ejpam-2402	6	8	41a25	41a25	NUM
ejpam-2402	6	9	,	,	PUNCT
ejpam-2402	6	10	41a28	41a28	NUM
ejpam-2402	6	11	.	.	PUNCT
ejpam-2402	7	1	key	key	ADJ
ejpam-2402	7	2	words	word	NOUN
ejpam-2402	7	3	and	and	CCONJ
ejpam-2402	7	4	phrases	phrase	NOUN
ejpam-2402	7	5	:	:	PUNCT
ejpam-2402	7	6	bivariate	bivariate	ADJ
ejpam-2402	7	7	complex	complex	ADJ
ejpam-2402	7	8	polynomials	polynomial	NOUN
ejpam-2402	7	9	,	,	PUNCT
ejpam-2402	7	10	berstein	berstein	ADJ
ejpam-2402	7	11	-	-	PUNCT
ejpam-2402	7	12	schurer	schurer	NOUN
ejpam-2402	7	13	polynomials	polynomial	NOUN
ejpam-2402	7	14	,	,	PUNCT
ejpam-2402	7	15	rate	rate	NOUN
ejpam-2402	7	16	of	of	ADP
ejpam-2402	7	17	convergence	convergence	NOUN
ejpam-2402	7	18	,	,	PUNCT
ejpam-2402	7	19	voronovskaja	voronovskaja	PROPN
ejpam-2402	7	20	’s	’s	PART
ejpam-2402	7	21	theorem	theorem	ADJ
ejpam-2402	7	22	,	,	PUNCT
ejpam-2402	7	23	exact	exact	ADJ
ejpam-2402	7	24	order	order	NOUN
ejpam-2402	7	25	of	of	ADP
ejpam-2402	7	26	approximation	approximation	NOUN
ejpam-2402	7	27	.	.	PUNCT
ejpam-2402	8	1	1	1	X
ejpam-2402	8	2	.	.	X
ejpam-2402	8	3	introduction	introduction	NOUN
ejpam-2402	8	4	the	the	DET
ejpam-2402	8	5	bernstein	bernstein	PROPN
ejpam-2402	8	6	polynomial	polynomial	PROPN
ejpam-2402	8	7	attached	attach	VERB
ejpam-2402	8	8	to	to	ADP
ejpam-2402	8	9	f	f	PROPN
ejpam-2402	8	10	:	:	PUNCT
ejpam-2402	9	1	[	[	X
ejpam-2402	9	2	0,1]→	0,1]→	X
ejpam-2402	9	3	r	r	NOUN
ejpam-2402	9	4	was	be	AUX
ejpam-2402	9	5	introduced	introduce	VERB
ejpam-2402	9	6	by	by	ADP
ejpam-2402	9	7	bernstein	bernstein	PROPN
ejpam-2402	9	8	to	to	PART
ejpam-2402	9	9	give	give	VERB
ejpam-2402	9	10	a	a	DET
ejpam-2402	9	11	proof	proof	NOUN
ejpam-2402	9	12	of	of	ADP
ejpam-2402	9	13	the	the	DET
ejpam-2402	9	14	weierstrass	weierstrass	NOUN
ejpam-2402	9	15	theorem	theorem	NOUN
ejpam-2402	9	16	.	.	PUNCT
ejpam-2402	10	1	if	if	SCONJ
ejpam-2402	10	2	f	f	PROPN
ejpam-2402	10	3	is	be	AUX
ejpam-2402	10	4	continuous	continuous	ADJ
ejpam-2402	10	5	on	on	ADP
ejpam-2402	10	6	[	[	X
ejpam-2402	10	7	0,1	0,1	NUM
ejpam-2402	10	8	]	]	PUNCT
ejpam-2402	10	9	then	then	ADV
ejpam-2402	10	10	limn	limn	PROPN
ejpam-2402	10	11	bn	bn	PROPN
ejpam-2402	10	12	(	(	PUNCT
ejpam-2402	10	13	f	f	PROPN
ejpam-2402	10	14	)	)	PUNCT
ejpam-2402	10	15	(	(	PUNCT
ejpam-2402	10	16	x	x	X
ejpam-2402	10	17	)	)	PUNCT
ejpam-2402	10	18	=	=	SYM
ejpam-2402	10	19	f	f	PROPN
ejpam-2402	10	20	(	(	PUNCT
ejpam-2402	10	21	x	x	NOUN
ejpam-2402	10	22	)	)	PUNCT
ejpam-2402	10	23	where	where	SCONJ
ejpam-2402	10	24	bn	bn	X
ejpam-2402	10	25	(	(	PUNCT
ejpam-2402	10	26	f	f	PROPN
ejpam-2402	10	27	)	)	PUNCT
ejpam-2402	10	28	(	(	PUNCT
ejpam-2402	10	29	x	x	X
ejpam-2402	10	30	)	)	PUNCT
ejpam-2402	11	1	=	=	SYM
ejpam-2402	11	2	∑n	∑n	PROPN
ejpam-2402	11	3	k=0	k=0	PROPN
ejpam-2402	11	4	�	�	PROPN
ejpam-2402	11	5	n	n	CCONJ
ejpam-2402	11	6	k	k	PROPN
ejpam-2402	11	7	�	�	PROPN
ejpam-2402	11	8	xk	xk	PROPN
ejpam-2402	11	9	(	(	PUNCT
ejpam-2402	11	10	1−	1−	NUM
ejpam-2402	11	11	x)n−k	x)n−k	PROPN
ejpam-2402	11	12	f	f	PROPN
ejpam-2402	11	13	�	�	PROPN
ejpam-2402	11	14	k	k	PROPN
ejpam-2402	11	15	n	n	PROPN
ejpam-2402	11	16	�	�	PROPN
ejpam-2402	11	17	,	,	PUNCT
ejpam-2402	11	18	x	x	SYM
ejpam-2402	11	19	∈	∈	PROPN
ejpam-2402	12	1	[	[	X
ejpam-2402	12	2	0,1	0,1	NUM
ejpam-2402	12	3	]	]	PUNCT
ejpam-2402	12	4	.	.	PUNCT
ejpam-2402	13	1	if	if	SCONJ
ejpam-2402	13	2	f	f	PROPN
ejpam-2402	13	3	:	:	PUNCT
ejpam-2402	13	4	g→	g→	PROPN
ejpam-2402	13	5	c	c	PROPN
ejpam-2402	13	6	is	be	AUX
ejpam-2402	13	7	an	an	DET
ejpam-2402	13	8	analytic	analytic	ADJ
ejpam-2402	13	9	function	function	NOUN
ejpam-2402	13	10	in	in	ADP
ejpam-2402	13	11	the	the	DET
ejpam-2402	13	12	open	open	ADJ
ejpam-2402	13	13	set	set	NOUN
ejpam-2402	13	14	g	g	PROPN
ejpam-2402	13	15	⊂	⊂	PROPN
ejpam-2402	13	16	c	c	X
ejpam-2402	13	17	,	,	PUNCT
ejpam-2402	13	18	with	with	ADP
ejpam-2402	13	19	d1	d1	PROPN
ejpam-2402	13	20	⊂	⊂	X
ejpam-2402	13	21	g	g	PROPN
ejpam-2402	13	22	(	(	PUNCT
ejpam-2402	13	23	where	where	SCONJ
ejpam-2402	13	24	d1	d1	PROPN
ejpam-2402	13	25	=	=	PUNCT
ejpam-2402	13	26	{	{	PUNCT
ejpam-2402	13	27	z	z	NOUN
ejpam-2402	13	28	∈	∈	PROPN
ejpam-2402	13	29	c	c	NOUN
ejpam-2402	13	30	:	:	PUNCT
ejpam-2402	13	31	|z|	|z|	VERB
ejpam-2402	13	32	<	<	X
ejpam-2402	13	33	1	1	NUM
ejpam-2402	13	34	}	}	PUNCT
ejpam-2402	13	35	)	)	PUNCT
ejpam-2402	13	36	,	,	PUNCT
ejpam-2402	13	37	then	then	ADV
ejpam-2402	13	38	s.	s.	PROPN
ejpam-2402	13	39	n.	n.	PROPN
ejpam-2402	13	40	bernstein	bernstein	PROPN
ejpam-2402	14	1	[	[	X
ejpam-2402	14	2	6	6	NUM
ejpam-2402	14	3	]	]	PUNCT
ejpam-2402	14	4	proved	prove	VERB
ejpam-2402	14	5	that	that	SCONJ
ejpam-2402	14	6	the	the	DET
ejpam-2402	14	7	complex	complex	ADJ
ejpam-2402	14	8	bernstein	bernstein	PROPN
ejpam-2402	14	9	polynomials	polynomial	NOUN
ejpam-2402	14	10	defined	define	VERB
ejpam-2402	14	11	by	by	ADP
ejpam-2402	14	12	bn	bn	PROPN
ejpam-2402	14	13	(	(	PUNCT
ejpam-2402	14	14	f	f	PROPN
ejpam-2402	14	15	)	)	PUNCT
ejpam-2402	14	16	(	(	PUNCT
ejpam-2402	14	17	z	z	NOUN
ejpam-2402	14	18	)	)	PUNCT
ejpam-2402	14	19	=	=	SYM
ejpam-2402	14	20	n	n	PROPN
ejpam-2402	14	21	∑	∑	ADP
ejpam-2402	14	22	k=0	k=0	PROPN
ejpam-2402	14	23	�	�	PROPN
ejpam-2402	14	24	n	n	CCONJ
ejpam-2402	14	25	k	k	PROPN
ejpam-2402	14	26	�	�	PROPN
ejpam-2402	14	27	zk	zk	PROPN
ejpam-2402	14	28	(	(	PUNCT
ejpam-2402	14	29	1−	1−	NUM
ejpam-2402	14	30	z)n−k	z)n−k	NUM
ejpam-2402	14	31	f	f	PROPN
ejpam-2402	14	32	�	�	PROPN
ejpam-2402	14	33	k	k	PROPN
ejpam-2402	14	34	n	n	CCONJ
ejpam-2402	14	35	�	�	PROPN
ejpam-2402	14	36	uniformly	uniformly	ADV
ejpam-2402	14	37	converge	converge	VERB
ejpam-2402	14	38	to	to	ADP
ejpam-2402	14	39	f	f	PROPN
ejpam-2402	14	40	in	in	ADP
ejpam-2402	14	41	d1	d1	PROPN
ejpam-2402	14	42	.	.	PUNCT
ejpam-2402	15	1	but	but	CCONJ
ejpam-2402	15	2	bernstein	bernstein	PROPN
ejpam-2402	15	3	obtained	obtain	VERB
ejpam-2402	15	4	this	this	DET
ejpam-2402	15	5	convergence	convergence	NOUN
ejpam-2402	15	6	result	result	NOUN
ejpam-2402	15	7	without	without	ADP
ejpam-2402	15	8	any	any	DET
ejpam-2402	15	9	quantitative	quantitative	ADJ
ejpam-2402	15	10	estimate	estimate	NOUN
ejpam-2402	15	11	.	.	PUNCT
ejpam-2402	16	1	recently	recently	ADV
ejpam-2402	16	2	,	,	PUNCT
ejpam-2402	16	3	voronovskajatype	voronovskajatype	NOUN
ejpam-2402	16	4	results	result	VERB
ejpam-2402	16	5	with	with	ADP
ejpam-2402	16	6	quantitative	quantitative	ADJ
ejpam-2402	16	7	estimates	estimate	NOUN
ejpam-2402	16	8	for	for	ADP
ejpam-2402	16	9	the	the	DET
ejpam-2402	16	10	complex	complex	ADJ
ejpam-2402	16	11	bernstein	bernstein	PROPN
ejpam-2402	16	12	,	,	PUNCT
ejpam-2402	16	13	complex	complex	ADJ
ejpam-2402	16	14	q	q	NOUN
ejpam-2402	16	15	-	-	PUNCT
ejpam-2402	16	16	bernstein	bernstein	NOUN
ejpam-2402	16	17	,	,	PUNCT
ejpam-2402	16	18	complex	complex	ADJ
ejpam-2402	16	19	bernsteinkantorovich	bernsteinkantorovich	ADJ
ejpam-2402	16	20	,	,	PUNCT
ejpam-2402	16	21	complex	complex	ADJ
ejpam-2402	16	22	kantorovich	kantorovich	PROPN
ejpam-2402	16	23	stancu	stancu	PROPN
ejpam-2402	16	24	polynomials	polynomial	NOUN
ejpam-2402	16	25	attached	attach	VERB
ejpam-2402	16	26	to	to	ADP
ejpam-2402	16	27	analytic	analytic	ADJ
ejpam-2402	16	28	functions	function	NOUN
ejpam-2402	16	29	on	on	ADP
ejpam-2402	16	30	compact	compact	ADJ
ejpam-2402	16	31	disks	disk	NOUN
ejpam-2402	16	32	and	and	CCONJ
ejpam-2402	16	33	the	the	DET
ejpam-2402	16	34	exact	exact	ADJ
ejpam-2402	16	35	order	order	NOUN
ejpam-2402	16	36	of	of	ADP
ejpam-2402	16	37	simultaneous	simultaneous	ADJ
ejpam-2402	16	38	approximation	approximation	NOUN
ejpam-2402	16	39	by	by	ADP
ejpam-2402	16	40	these	these	DET
ejpam-2402	16	41	complex	complex	ADJ
ejpam-2402	16	42	operators	operator	NOUN
ejpam-2402	16	43	were	be	AUX
ejpam-2402	16	44	obtained	obtain	VERB
ejpam-2402	16	45	by	by	ADP
ejpam-2402	16	46	s.	s.	PROPN
ejpam-2402	16	47	g.	g.	PROPN
ejpam-2402	16	48	gal	gal	PROPN
ejpam-2402	17	1	[	[	X
ejpam-2402	17	2	5	5	NUM
ejpam-2402	17	3	]	]	PUNCT
ejpam-2402	17	4	.	.	PUNCT
ejpam-2402	18	1	∗corresponding	∗corresponde	VERB
ejpam-2402	18	2	author	author	NOUN
ejpam-2402	18	3	.	.	PUNCT
ejpam-2402	19	1	email	email	NOUN
ejpam-2402	19	2	addresses	address	NOUN
ejpam-2402	19	3	:	:	PUNCT
ejpam-2402	19	4	nispir@gazi.edu.tr	nispir@gazi.edu.tr	ADV
ejpam-2402	19	5	(	(	PUNCT
ejpam-2402	19	6	n.	n.	NOUN
ejpam-2402	19	7	i̇spir	i̇spir	PROPN
ejpam-2402	19	8	)	)	PUNCT
ejpam-2402	19	9	,	,	PUNCT
ejpam-2402	19	10	sulegungor@gazi.edu.tr	sulegungor@gazi.edu.tr	NOUN
ejpam-2402	19	11	(	(	PUNCT
ejpam-2402	19	12	ş.	ş.	X
ejpam-2402	19	13	güngör	güngör	NOUN
ejpam-2402	19	14	)	)	PUNCT
ejpam-2402	19	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2402	20	1	322	322	NUM
ejpam-2402	20	2	c	c	NOUN
ejpam-2402	20	3	©	©	PROPN
ejpam-2402	20	4	2016	2016	NUM
ejpam-2402	20	5	ejpam	ejpam	VERB
ejpam-2402	20	6	all	all	DET
ejpam-2402	20	7	rights	right	NOUN
ejpam-2402	20	8	reserved	reserve	VERB
ejpam-2402	20	9	.	.	PUNCT
ejpam-2402	21	1	n.	n.	PROPN
ejpam-2402	21	2	i̇spir	i̇spir	PROPN
ejpam-2402	21	3	,	,	PUNCT
ejpam-2402	21	4	ş.	ş.	PROPN
ejpam-2402	21	5	güngör	güngör	PROPN
ejpam-2402	21	6	/	/	SYM
ejpam-2402	21	7	eur	eur	PROPN
ejpam-2402	21	8	.	.	PUNCT
ejpam-2402	22	1	j.	j.	PROPN
ejpam-2402	22	2	pure	pure	PROPN
ejpam-2402	22	3	appl	appl	PROPN
ejpam-2402	22	4	.	.	PROPN
ejpam-2402	22	5	math	math	PROPN
ejpam-2402	22	6	,	,	PUNCT
ejpam-2402	22	7	9	9	NUM
ejpam-2402	22	8	(	(	PUNCT
ejpam-2402	22	9	2016	2016	NUM
ejpam-2402	22	10	)	)	PUNCT
ejpam-2402	22	11	,	,	PUNCT
ejpam-2402	22	12	322	322	NUM
ejpam-2402	22	13	-	-	SYM
ejpam-2402	22	14	332	332	NUM
ejpam-2402	22	15	323	323	NUM
ejpam-2402	22	16	the	the	DET
ejpam-2402	22	17	complex	complex	ADJ
ejpam-2402	22	18	bernstein	bernstein	PROPN
ejpam-2402	22	19	-	-	PUNCT
ejpam-2402	22	20	schurer	schurer	NOUN
ejpam-2402	22	21	polynomials	polynomial	NOUN
ejpam-2402	22	22	(	(	PUNCT
ejpam-2402	22	23	introduced	introduce	VERB
ejpam-2402	22	24	and	and	CCONJ
ejpam-2402	22	25	studied	study	VERB
ejpam-2402	22	26	in	in	ADP
ejpam-2402	22	27	the	the	DET
ejpam-2402	22	28	case	case	NOUN
ejpam-2402	22	29	of	of	ADP
ejpam-2402	22	30	real	real	ADJ
ejpam-2402	22	31	variable	variable	NOUN
ejpam-2402	22	32	in	in	ADP
ejpam-2402	22	33	[	[	X
ejpam-2402	22	34	7	7	NUM
ejpam-2402	22	35	]	]	PUNCT
ejpam-2402	22	36	)	)	PUNCT
ejpam-2402	22	37	are	be	AUX
ejpam-2402	22	38	defined	define	VERB
ejpam-2402	22	39	for	for	ADP
ejpam-2402	22	40	any	any	DET
ejpam-2402	22	41	fixed	fix	VERB
ejpam-2402	22	42	p	p	NOUN
ejpam-2402	22	43	=	=	NOUN
ejpam-2402	22	44	0,1,2	0,1,2	NUM
ejpam-2402	22	45	,	,	PUNCT
ejpam-2402	22	46	.	.	PUNCT
ejpam-2402	22	47	.	.	PUNCT
ejpam-2402	22	48	.	.	PUNCT
ejpam-2402	23	1	by	by	ADP
ejpam-2402	23	2	bn	bn	ADP
ejpam-2402	23	3	,	,	PUNCT
ejpam-2402	23	4	p	p	X
ejpam-2402	23	5	(	(	PUNCT
ejpam-2402	23	6	f	f	PROPN
ejpam-2402	23	7	)	)	PUNCT
ejpam-2402	23	8	(	(	PUNCT
ejpam-2402	23	9	z	z	NOUN
ejpam-2402	23	10	)	)	PUNCT
ejpam-2402	23	11	=	=	SYM
ejpam-2402	23	12	n+p	n+p	PUNCT
ejpam-2402	23	13	∑	∑	ADP
ejpam-2402	23	14	k=0	k=0	PROPN
ejpam-2402	23	15	�	�	PROPN
ejpam-2402	23	16	n+	n+	ADP
ejpam-2402	23	17	p	p	PROPN
ejpam-2402	23	18	k	k	PROPN
ejpam-2402	23	19	�	�	PROPN
ejpam-2402	23	20	zk(1−	zk(1−	PROPN
ejpam-2402	23	21	z)n+p−k	z)n+p−k	X
ejpam-2402	24	1	f	f	X
ejpam-2402	24	2	(	(	PUNCT
ejpam-2402	24	3	k	k	NOUN
ejpam-2402	24	4	/	/	SYM
ejpam-2402	24	5	n	n	CCONJ
ejpam-2402	24	6	)	)	PUNCT
ejpam-2402	24	7	,	,	PUNCT
ejpam-2402	24	8	z	z	PROPN
ejpam-2402	24	9	∈	∈	PROPN
ejpam-2402	24	10	c.	c.	NOUN
ejpam-2402	24	11	the	the	DET
ejpam-2402	24	12	approximation	approximation	NOUN
ejpam-2402	24	13	properties	property	NOUN
ejpam-2402	24	14	of	of	ADP
ejpam-2402	24	15	these	these	DET
ejpam-2402	24	16	polynomials	polynomial	NOUN
ejpam-2402	24	17	are	be	AUX
ejpam-2402	24	18	investigated	investigate	VERB
ejpam-2402	24	19	and	and	CCONJ
ejpam-2402	24	20	the	the	DET
ejpam-2402	24	21	exact	exact	ADJ
ejpam-2402	24	22	order	order	NOUN
ejpam-2402	24	23	of	of	ADP
ejpam-2402	24	24	approximation	approximation	NOUN
ejpam-2402	24	25	with	with	ADP
ejpam-2402	24	26	quantitative	quantitative	ADJ
ejpam-2402	24	27	estimates	estimate	NOUN
ejpam-2402	24	28	were	be	AUX
ejpam-2402	24	29	gave	give	VERB
ejpam-2402	24	30	in	in	ADP
ejpam-2402	24	31	[	[	X
ejpam-2402	24	32	1	1	NUM
ejpam-2402	24	33	]	]	PUNCT
ejpam-2402	24	34	.	.	PUNCT
ejpam-2402	25	1	it	it	PRON
ejpam-2402	25	2	is	be	AUX
ejpam-2402	25	3	clear	clear	ADJ
ejpam-2402	25	4	that	that	SCONJ
ejpam-2402	25	5	for	for	ADP
ejpam-2402	25	6	p	p	NOUN
ejpam-2402	25	7	=	=	NOUN
ejpam-2402	25	8	0	0	NUM
ejpam-2402	25	9	these	these	DET
ejpam-2402	25	10	polynomials	polynomial	NOUN
ejpam-2402	25	11	become	become	VERB
ejpam-2402	25	12	the	the	DET
ejpam-2402	25	13	classical	classical	ADJ
ejpam-2402	25	14	complex	complex	ADJ
ejpam-2402	25	15	bernstein	bernstein	NOUN
ejpam-2402	25	16	polynomials	polynomial	NOUN
ejpam-2402	25	17	studied	study	VERB
ejpam-2402	25	18	in	in	ADP
ejpam-2402	25	19	[	[	X
ejpam-2402	25	20	5	5	NUM
ejpam-2402	25	21	]	]	PUNCT
ejpam-2402	25	22	.	.	PUNCT
ejpam-2402	26	1	in	in	ADP
ejpam-2402	26	2	real	real	ADJ
ejpam-2402	26	3	case	case	NOUN
ejpam-2402	26	4	the	the	DET
ejpam-2402	26	5	approximation	approximation	NOUN
ejpam-2402	26	6	properties	property	NOUN
ejpam-2402	26	7	of	of	ADP
ejpam-2402	26	8	bivariate	bivariate	ADJ
ejpam-2402	26	9	berstein	berstein	ADJ
ejpam-2402	26	10	-	-	PUNCT
ejpam-2402	26	11	schurer	schurer	NOUN
ejpam-2402	26	12	polynomials	polynomial	NOUN
ejpam-2402	26	13	is	be	AUX
ejpam-2402	26	14	studied	study	VERB
ejpam-2402	26	15	by	by	ADP
ejpam-2402	26	16	d.	d.	PROPN
ejpam-2402	26	17	barbasu	barbasu	PROPN
ejpam-2402	27	1	[	[	X
ejpam-2402	27	2	2–4	2–4	NUM
ejpam-2402	27	3	]	]	X
ejpam-2402	27	4	.	.	PUNCT
ejpam-2402	28	1	in	in	ADP
ejpam-2402	28	2	this	this	DET
ejpam-2402	28	3	note	note	NOUN
ejpam-2402	28	4	we	we	PRON
ejpam-2402	28	5	would	would	AUX
ejpam-2402	28	6	like	like	VERB
ejpam-2402	28	7	to	to	PART
ejpam-2402	28	8	extend	extend	VERB
ejpam-2402	28	9	the	the	DET
ejpam-2402	28	10	approximation	approximation	NOUN
ejpam-2402	28	11	results	result	NOUN
ejpam-2402	28	12	from	from	ADP
ejpam-2402	28	13	the	the	DET
ejpam-2402	28	14	univariate	univariate	ADJ
ejpam-2402	28	15	case	case	NOUN
ejpam-2402	28	16	,	,	PUNCT
ejpam-2402	28	17	obtained	obtain	VERB
ejpam-2402	28	18	for	for	ADP
ejpam-2402	28	19	the	the	DET
ejpam-2402	28	20	complex	complex	ADJ
ejpam-2402	28	21	bernstein	bernstein	PROPN
ejpam-2402	28	22	-	-	PUNCT
ejpam-2402	28	23	schurer	schurer	NOUN
ejpam-2402	28	24	polynomials	polynomial	NOUN
ejpam-2402	28	25	,	,	PUNCT
ejpam-2402	28	26	to	to	ADP
ejpam-2402	28	27	the	the	DET
ejpam-2402	28	28	bivariate	bivariate	ADJ
ejpam-2402	28	29	case	case	NOUN
ejpam-2402	28	30	.	.	PUNCT
ejpam-2402	29	1	first	first	ADV
ejpam-2402	29	2	we	we	PRON
ejpam-2402	29	3	present	present	VERB
ejpam-2402	29	4	a	a	DET
ejpam-2402	29	5	few	few	ADJ
ejpam-2402	29	6	concepts	concept	NOUN
ejpam-2402	29	7	in	in	ADP
ejpam-2402	29	8	the	the	DET
ejpam-2402	29	9	bivariate	bivariate	ADJ
ejpam-2402	29	10	case	case	NOUN
ejpam-2402	29	11	which	which	PRON
ejpam-2402	29	12	are	be	AUX
ejpam-2402	29	13	natural	natural	ADJ
ejpam-2402	29	14	extensions	extension	NOUN
ejpam-2402	29	15	of	of	ADP
ejpam-2402	29	16	the	the	DET
ejpam-2402	29	17	usual	usual	ADJ
ejpam-2402	29	18	concepts	concept	NOUN
ejpam-2402	29	19	in	in	ADP
ejpam-2402	29	20	the	the	DET
ejpam-2402	29	21	univariate	univariate	ADJ
ejpam-2402	29	22	case	case	NOUN
ejpam-2402	29	23	.	.	PUNCT
ejpam-2402	30	1	let	let	VERB
ejpam-2402	30	2	dr	dr	PROPN
ejpam-2402	30	3	j	j	PROPN
ejpam-2402	30	4	:	:	PUNCT
ejpam-2402	31	1	=	=	SYM
ejpam-2402	31	2	�	�	PROPN
ejpam-2402	31	3	z	z	PROPN
ejpam-2402	31	4	j	j	PROPN
ejpam-2402	31	5	∈	∈	PROPN
ejpam-2402	31	6	c	c	PROPN
ejpam-2402	31	7	:	:	PUNCT
ejpam-2402	31	8	�	�	PROPN
ejpam-2402	31	9	�	�	PROPN
ejpam-2402	31	10	z	z	PROPN
ejpam-2402	31	11	j	j	PROPN
ejpam-2402	31	12	�	�	PROPN
ejpam-2402	31	13	�	�	PROPN
ejpam-2402	31	14	<	<	X
ejpam-2402	31	15	r	r	PROPN
ejpam-2402	31	16	j	j	PROPN
ejpam-2402	31	17	,	,	PUNCT
ejpam-2402	31	18	j	j	PROPN
ejpam-2402	32	1	=	=	SYM
ejpam-2402	32	2	1,2	1,2	NUM
ejpam-2402	32	3	and	and	CCONJ
ejpam-2402	32	4	p(0	p(0	NOUN
ejpam-2402	32	5	;	;	PUNCT
ejpam-2402	32	6	r	r	X
ejpam-2402	32	7	)	)	PUNCT
ejpam-2402	32	8	=	=	SYM
ejpam-2402	33	1	dr1	dr1	PROPN
ejpam-2402	33	2	×	×	PROPN
ejpam-2402	33	3	dr2	dr2	PROPN
ejpam-2402	33	4	denotes	denote	VERB
ejpam-2402	33	5	an	an	DET
ejpam-2402	33	6	open	open	ADJ
ejpam-2402	33	7	polydisk	polydisk	NOUN
ejpam-2402	33	8	(	(	PUNCT
ejpam-2402	33	9	of	of	ADP
ejpam-2402	33	10	center	center	NOUN
ejpam-2402	33	11	0	0	PUNCT
ejpam-2402	33	12	and	and	CCONJ
ejpam-2402	33	13	radius	radius	NOUN
ejpam-2402	33	14	r	r	NOUN
ejpam-2402	33	15	)	)	PUNCT
ejpam-2402	33	16	where	where	SCONJ
ejpam-2402	33	17	r	r	NOUN
ejpam-2402	33	18	=	=	SYM
ejpam-2402	33	19	(	(	PUNCT
ejpam-2402	33	20	r1,r2	r1,r2	PROPN
ejpam-2402	33	21	)	)	PUNCT
ejpam-2402	33	22	and	and	CCONJ
ejpam-2402	33	23	�	�	PROPN
ejpam-2402	33	24	�	�	PROPN
ejpam-2402	33	25	z1	z1	PROPN
ejpam-2402	33	26	�	�	PROPN
ejpam-2402	33	27	�	�	PROPN
ejpam-2402	33	28	≤	≤	PROPN
ejpam-2402	33	29	r1	r1	NOUN
ejpam-2402	33	30	,	,	PUNCT
ejpam-2402	33	31	�	�	PROPN
ejpam-2402	33	32	�	�	PROPN
ejpam-2402	33	33	z2	z2	PROPN
ejpam-2402	33	34	�	�	PROPN
ejpam-2402	33	35	�	�	PROPN
ejpam-2402	33	36	≤	≤	NOUN
ejpam-2402	33	37	r2	r2	NOUN
ejpam-2402	33	38	,	,	PUNCT
ejpam-2402	33	39	r1	r1	PROPN
ejpam-2402	33	40	<	<	X
ejpam-2402	33	41	r1	r1	PROPN
ejpam-2402	33	42	with	with	ADP
ejpam-2402	33	43	r2	r2	PROPN
ejpam-2402	33	44	<	<	X
ejpam-2402	33	45	r2	r2	PROPN
ejpam-2402	33	46	.	.	PUNCT
ejpam-2402	34	1	let	let	AUX
ejpam-2402	34	2	also	also	ADV
ejpam-2402	34	3	pr	pr	VERB
ejpam-2402	34	4	:	:	PUNCT
ejpam-2402	35	1	=	=	SYM
ejpam-2402	35	2	p	p	X
ejpam-2402	35	3	(	(	PUNCT
ejpam-2402	35	4	0,r	0,r	NUM
ejpam-2402	35	5	)	)	PUNCT
ejpam-2402	35	6	=	=	SYM
ejpam-2402	35	7	�	�	PROPN
ejpam-2402	35	8	�	�	PROPN
ejpam-2402	35	9	z1	z1	PROPN
ejpam-2402	35	10	,	,	PUNCT
ejpam-2402	35	11	z2	z2	PROPN
ejpam-2402	35	12	�	�	PROPN
ejpam-2402	35	13	∈	∈	PROPN
ejpam-2402	35	14	c2	c2	PROPN
ejpam-2402	35	15	:	:	PUNCT
ejpam-2402	35	16	�	�	PROPN
ejpam-2402	35	17	�	�	PROPN
ejpam-2402	35	18	z	z	PROPN
ejpam-2402	35	19	j	j	PROPN
ejpam-2402	35	20	�	�	PROPN
ejpam-2402	35	21	�	�	PROPN
ejpam-2402	35	22	≤	≤	PROPN
ejpam-2402	35	23	r	r	NOUN
ejpam-2402	35	24	j	j	PROPN
ejpam-2402	35	25	,	,	PUNCT
ejpam-2402	35	26	j	j	PROPN
ejpam-2402	35	27	=	=	SYM
ejpam-2402	35	28	1,2	1,2	NUM
ejpam-2402	35	29	denotes	denote	VERB
ejpam-2402	35	30	the	the	DET
ejpam-2402	35	31	closed	closed	ADJ
ejpam-2402	35	32	polydisk	polydisk	NOUN
ejpam-2402	35	33	.	.	PUNCT
ejpam-2402	36	1	for	for	ADP
ejpam-2402	36	2	f	f	PROPN
ejpam-2402	36	3	(	(	PUNCT
ejpam-2402	36	4	z1	z1	PROPN
ejpam-2402	36	5	,	,	PUNCT
ejpam-2402	36	6	z2	z2	PROPN
ejpam-2402	36	7	)	)	PUNCT
ejpam-2402	36	8	is	be	AUX
ejpam-2402	36	9	an	an	DET
ejpam-2402	36	10	analytic	analytic	ADJ
ejpam-2402	36	11	function	function	NOUN
ejpam-2402	36	12	of	of	ADP
ejpam-2402	36	13	two	two	NUM
ejpam-2402	36	14	complex	complex	ADJ
ejpam-2402	36	15	variables	variable	NOUN
ejpam-2402	36	16	(	(	PUNCT
ejpam-2402	36	17	z1	z1	PROPN
ejpam-2402	36	18	,	,	PUNCT
ejpam-2402	36	19	z2	z2	PROPN
ejpam-2402	36	20	)	)	PUNCT
ejpam-2402	36	21	in	in	ADP
ejpam-2402	36	22	the	the	DET
ejpam-2402	36	23	polydisk	polydisk	NOUN
ejpam-2402	36	24	p(0	p(0	PROPN
ejpam-2402	36	25	;	;	PUNCT
ejpam-2402	36	26	r	r	X
ejpam-2402	36	27	)	)	PUNCT
ejpam-2402	36	28	we	we	PRON
ejpam-2402	36	29	can	can	AUX
ejpam-2402	36	30	define	define	VERB
ejpam-2402	36	31	the	the	DET
ejpam-2402	36	32	tensor	tensor	NOUN
ejpam-2402	36	33	product	product	NOUN
ejpam-2402	36	34	kind	kind	NOUN
ejpam-2402	36	35	bernstein	bernstein	PROPN
ejpam-2402	36	36	-	-	PUNCT
ejpam-2402	36	37	schurer	schurer	NOUN
ejpam-2402	36	38	polynomials	polynomial	NOUN
ejpam-2402	36	39	as	as	SCONJ
ejpam-2402	36	40	follows	follow	VERB
ejpam-2402	36	41	bn	bn	PROPN
ejpam-2402	36	42	,	,	PUNCT
ejpam-2402	36	43	m	m	PROPN
ejpam-2402	36	44	,	,	PUNCT
ejpam-2402	36	45	p	p	X
ejpam-2402	36	46	,	,	PUNCT
ejpam-2402	36	47	q	q	X
ejpam-2402	36	48	(	(	PUNCT
ejpam-2402	36	49	f	f	PROPN
ejpam-2402	36	50	)	)	PUNCT
ejpam-2402	36	51	�	�	PROPN
ejpam-2402	36	52	z1	z1	PROPN
ejpam-2402	36	53	,	,	PUNCT
ejpam-2402	36	54	z2	z2	PROPN
ejpam-2402	36	55	�	�	PROPN
ejpam-2402	36	56	=	=	PUNCT
ejpam-2402	36	57	n+p	n+p	PUNCT
ejpam-2402	36	58	∑	∑	SYM
ejpam-2402	36	59	k=0	k=0	PROPN
ejpam-2402	36	60	m+q	m+q	NUM
ejpam-2402	36	61	∑	∑	PUNCT
ejpam-2402	36	62	j=0	j=0	PROPN
ejpam-2402	36	63	bn	bn	PROPN
ejpam-2402	36	64	,	,	PUNCT
ejpam-2402	36	65	k	k	PROPN
ejpam-2402	36	66	�	�	PROPN
ejpam-2402	36	67	z1	z1	PROPN
ejpam-2402	36	68	�	�	PROPN
ejpam-2402	36	69	bm	bm	PROPN
ejpam-2402	36	70	,	,	PUNCT
ejpam-2402	36	71	j	j	PROPN
ejpam-2402	36	72	�	�	PROPN
ejpam-2402	36	73	z2	z2	PROPN
ejpam-2402	36	74	�	�	PROPN
ejpam-2402	36	75	f	f	PROPN
ejpam-2402	36	76	�	�	PROPN
ejpam-2402	36	77	k	k	PROPN
ejpam-2402	36	78	/	/	SYM
ejpam-2402	36	79	n	n	CCONJ
ejpam-2402	36	80	,	,	PUNCT
ejpam-2402	36	81	j	j	PROPN
ejpam-2402	36	82	/	/	SYM
ejpam-2402	36	83	m	m	VERB
ejpam-2402	36	84	�	�	PROPN
ejpam-2402	36	85	(	(	PUNCT
ejpam-2402	36	86	1	1	NUM
ejpam-2402	36	87	)	)	PUNCT
ejpam-2402	36	88	where	where	SCONJ
ejpam-2402	36	89	bn	bn	X
ejpam-2402	36	90	,	,	PUNCT
ejpam-2402	36	91	k	k	PROPN
ejpam-2402	36	92	�	�	PROPN
ejpam-2402	36	93	z1	z1	PROPN
ejpam-2402	36	94	�	�	PROPN
ejpam-2402	36	95	=	=	SYM
ejpam-2402	36	96	�	�	PROPN
ejpam-2402	36	97	n+p	n+p	PRON
ejpam-2402	36	98	k	k	PROPN
ejpam-2402	36	99	�	�	PROPN
ejpam-2402	36	100	zk	zk	PROPN
ejpam-2402	36	101	1(1−	1(1−	PROPN
ejpam-2402	36	102	z1	z1	PROPN
ejpam-2402	36	103	)	)	PUNCT
ejpam-2402	37	1	n+p−k	n+p−k	PROPN
ejpam-2402	37	2	,	,	PUNCT
ejpam-2402	37	3	bm	bm	PROPN
ejpam-2402	37	4	,	,	PUNCT
ejpam-2402	37	5	j	j	PROPN
ejpam-2402	37	6	�	�	PROPN
ejpam-2402	37	7	z2	z2	PROPN
ejpam-2402	37	8	�	�	PROPN
ejpam-2402	37	9	=	=	SYM
ejpam-2402	37	10	�	�	PROPN
ejpam-2402	37	11	m+q	m+q	NUM
ejpam-2402	37	12	j	j	PROPN
ejpam-2402	37	13	�	�	PROPN
ejpam-2402	37	14	z	z	PROPN
ejpam-2402	37	15	j	j	PROPN
ejpam-2402	37	16	2	2	NUM
ejpam-2402	37	17	(	(	PUNCT
ejpam-2402	37	18	1−	1−	NUM
ejpam-2402	37	19	z2	z2	NUM
ejpam-2402	37	20	)	)	PUNCT
ejpam-2402	37	21	m+q−	m+q−	NOUN
ejpam-2402	37	22	j	j	PROPN
ejpam-2402	37	23	,	,	PUNCT
ejpam-2402	37	24	n	n	CCONJ
ejpam-2402	37	25	,	,	PUNCT
ejpam-2402	37	26	m	m	VERB
ejpam-2402	37	27	∈	∈	PROPN
ejpam-2402	37	28	n	n	NOUN
ejpam-2402	37	29	and	and	CCONJ
ejpam-2402	37	30	p	p	X
ejpam-2402	37	31	,	,	PUNCT
ejpam-2402	37	32	q	q	PROPN
ejpam-2402	37	33	∈	∈	PROPN
ejpam-2402	37	34	n∪	n∪	PROPN
ejpam-2402	37	35	{	{	PUNCT
ejpam-2402	37	36	0	0	NUM
ejpam-2402	37	37	}	}	PUNCT
ejpam-2402	37	38	.	.	PUNCT
ejpam-2402	38	1	the	the	DET
ejpam-2402	38	2	goal	goal	NOUN
ejpam-2402	38	3	of	of	ADP
ejpam-2402	38	4	this	this	DET
ejpam-2402	38	5	paper	paper	NOUN
ejpam-2402	38	6	is	be	AUX
ejpam-2402	38	7	to	to	PART
ejpam-2402	38	8	obtain	obtain	VERB
ejpam-2402	38	9	the	the	DET
ejpam-2402	38	10	exact	exact	ADJ
ejpam-2402	38	11	order	order	NOUN
ejpam-2402	38	12	of	of	ADP
ejpam-2402	38	13	approximation	approximation	NOUN
ejpam-2402	38	14	for	for	ADP
ejpam-2402	38	15	the	the	DET
ejpam-2402	38	16	polynomials	polynomial	NOUN
ejpam-2402	38	17	given	give	VERB
ejpam-2402	38	18	by	by	ADP
ejpam-2402	38	19	(	(	PUNCT
ejpam-2402	38	20	1	1	NUM
ejpam-2402	38	21	)	)	PUNCT
ejpam-2402	38	22	on	on	ADP
ejpam-2402	38	23	compact	compact	ADJ
ejpam-2402	38	24	polydisks	polydisk	NOUN
ejpam-2402	38	25	.	.	PUNCT
ejpam-2402	39	1	first	first	ADV
ejpam-2402	39	2	we	we	PRON
ejpam-2402	39	3	give	give	VERB
ejpam-2402	39	4	the	the	DET
ejpam-2402	39	5	order	order	NOUN
ejpam-2402	39	6	of	of	ADP
ejpam-2402	39	7	approximation	approximation	NOUN
ejpam-2402	39	8	and	and	CCONJ
ejpam-2402	39	9	the	the	DET
ejpam-2402	39	10	voronovskajatype	voronovskajatype	NOUN
ejpam-2402	39	11	theorems	theorem	VERB
ejpam-2402	39	12	with	with	ADP
ejpam-2402	39	13	quantitative	quantitative	ADJ
ejpam-2402	39	14	estimate	estimate	NOUN
ejpam-2402	39	15	for	for	ADP
ejpam-2402	39	16	the	the	DET
ejpam-2402	39	17	polynomials	polynomial	NOUN
ejpam-2402	39	18	bn	bn	NOUN
ejpam-2402	39	19	,	,	PUNCT
ejpam-2402	39	20	m	m	VERB
ejpam-2402	39	21	�	�	PROPN
ejpam-2402	39	22	f	f	PROPN
ejpam-2402	39	23	�	�	PROPN
ejpam-2402	39	24	(	(	PUNCT
ejpam-2402	39	25	z	z	NOUN
ejpam-2402	39	26	)	)	PUNCT
ejpam-2402	39	27	defined	define	VERB
ejpam-2402	39	28	by	by	ADP
ejpam-2402	39	29	(	(	PUNCT
ejpam-2402	39	30	1	1	NUM
ejpam-2402	39	31	)	)	PUNCT
ejpam-2402	39	32	.	.	PUNCT
ejpam-2402	40	1	these	these	DET
ejpam-2402	40	2	results	result	NOUN
ejpam-2402	40	3	allow	allow	VERB
ejpam-2402	40	4	us	we	PRON
ejpam-2402	40	5	to	to	PART
ejpam-2402	40	6	obtain	obtain	VERB
ejpam-2402	40	7	the	the	DET
ejpam-2402	40	8	exact	exact	ADJ
ejpam-2402	40	9	order	order	NOUN
ejpam-2402	40	10	in	in	ADP
ejpam-2402	40	11	approximation	approximation	NOUN
ejpam-2402	40	12	by	by	ADP
ejpam-2402	40	13	the	the	DET
ejpam-2402	40	14	polynomials	polynomial	NOUN
ejpam-2402	40	15	bn	bn	NOUN
ejpam-2402	40	16	,	,	PUNCT
ejpam-2402	40	17	m	m	VERB
ejpam-2402	40	18	�	�	PROPN
ejpam-2402	40	19	f	f	PROPN
ejpam-2402	40	20	�	�	PROPN
ejpam-2402	40	21	(	(	PUNCT
ejpam-2402	40	22	z	z	NOUN
ejpam-2402	40	23	)	)	PUNCT
ejpam-2402	40	24	.	.	PUNCT
ejpam-2402	41	1	2	2	X
ejpam-2402	41	2	.	.	X
ejpam-2402	41	3	the	the	DET
ejpam-2402	41	4	convergence	convergence	NOUN
ejpam-2402	41	5	results	result	VERB
ejpam-2402	41	6	with	with	ADP
ejpam-2402	41	7	quantitative	quantitative	ADJ
ejpam-2402	41	8	estimates	estimate	NOUN
ejpam-2402	41	9	theorem	theorem	VERB
ejpam-2402	41	10	1	1	NUM
ejpam-2402	41	11	.	.	X
ejpam-2402	41	12	for	for	ADP
ejpam-2402	41	13	fixed	fix	VERB
ejpam-2402	41	14	p	p	NOUN
ejpam-2402	41	15	,	,	PUNCT
ejpam-2402	41	16	q	q	PROPN
ejpam-2402	41	17	∈	∈	PROPN
ejpam-2402	41	18	n∪{0	n∪{0	NOUN
ejpam-2402	41	19	}	}	PUNCT
ejpam-2402	41	20	and	and	CCONJ
ejpam-2402	41	21	r1	r1	PROPN
ejpam-2402	41	22	>	>	PROPN
ejpam-2402	41	23	p+1	p+1	PROPN
ejpam-2402	41	24	,	,	PUNCT
ejpam-2402	41	25	r2	r2	PROPN
ejpam-2402	41	26	>	>	PUNCT
ejpam-2402	42	1	q+1	q+1	NUM
ejpam-2402	42	2	suppose	suppose	VERB
ejpam-2402	42	3	that	that	SCONJ
ejpam-2402	42	4	f	f	PROPN
ejpam-2402	42	5	:	:	PUNCT
ejpam-2402	42	6	p(0	p(0	ADJ
ejpam-2402	42	7	;	;	PUNCT
ejpam-2402	42	8	r)→	r)→	NOUN
ejpam-2402	42	9	c	c	NOUN
ejpam-2402	42	10	is	be	AUX
ejpam-2402	42	11	analytic	analytic	ADJ
ejpam-2402	42	12	in	in	ADP
ejpam-2402	42	13	p(0	p(0	PROPN
ejpam-2402	42	14	;	;	PUNCT
ejpam-2402	42	15	r	r	X
ejpam-2402	42	16	)	)	PUNCT
ejpam-2402	42	17	=	=	SYM
ejpam-2402	43	1	dr1	dr1	PROPN
ejpam-2402	43	2	×	×	PROPN
ejpam-2402	43	3	dr2	dr2	PROPN
ejpam-2402	43	4	,	,	PUNCT
ejpam-2402	43	5	that	that	ADV
ejpam-2402	43	6	is	is	ADV
ejpam-2402	43	7	f	f	PROPN
ejpam-2402	43	8	(	(	PUNCT
ejpam-2402	43	9	z1	z1	PROPN
ejpam-2402	43	10	,	,	PUNCT
ejpam-2402	43	11	z2	z2	NUM
ejpam-2402	43	12	)	)	PUNCT
ejpam-2402	43	13	=	=	NOUN
ejpam-2402	43	14	∑∞	∑∞	NOUN
ejpam-2402	43	15	k=0	k=0	PROPN
ejpam-2402	43	16	∑∞	∑∞	NOUN
ejpam-2402	43	17	j=0	j=0	PROPN
ejpam-2402	43	18	ck	ck	PROPN
ejpam-2402	43	19	,	,	PUNCT
ejpam-2402	43	20	jz	jz	PROPN
ejpam-2402	43	21	k	k	PROPN
ejpam-2402	43	22	1z	1z	PROPN
ejpam-2402	43	23	j	j	PROPN
ejpam-2402	43	24	2	2	NUM
ejpam-2402	43	25	for	for	ADP
ejpam-2402	43	26	all	all	DET
ejpam-2402	43	27	(	(	PUNCT
ejpam-2402	43	28	z1,z2	z1,z2	PROPN
ejpam-2402	43	29	)	)	PUNCT
ejpam-2402	43	30	∈	∈	PROPN
ejpam-2402	43	31	p(0	p(0	NOUN
ejpam-2402	43	32	;	;	PUNCT
ejpam-2402	43	33	r	r	X
ejpam-2402	43	34	)	)	PUNCT
ejpam-2402	43	35	,	,	PUNCT
ejpam-2402	43	36	r=	r=	PROPN
ejpam-2402	43	37	(	(	PUNCT
ejpam-2402	43	38	r1	r1	PROPN
ejpam-2402	43	39	;	;	PUNCT
ejpam-2402	43	40	r2	r2	PROPN
ejpam-2402	43	41	)	)	PUNCT
ejpam-2402	43	42	.	.	PUNCT
ejpam-2402	44	1	then	then	ADV
ejpam-2402	44	2	we	we	PRON
ejpam-2402	44	3	have	have	VERB
ejpam-2402	44	4	(	(	PUNCT
ejpam-2402	44	5	i	i	NOUN
ejpam-2402	44	6	)	)	PUNCT
ejpam-2402	44	7	for	for	ADP
ejpam-2402	44	8	all	all	DET
ejpam-2402	44	9	�	�	PROPN
ejpam-2402	44	10	�	�	PROPN
ejpam-2402	44	11	z1	z1	PROPN
ejpam-2402	44	12	�	�	PROPN
ejpam-2402	44	13	�	�	PROPN
ejpam-2402	44	14	≤	≤	PROPN
ejpam-2402	44	15	r1	r1	NOUN
ejpam-2402	44	16	,	,	PUNCT
ejpam-2402	44	17	�	�	PROPN
ejpam-2402	44	18	�	�	PROPN
ejpam-2402	44	19	z2	z2	PROPN
ejpam-2402	44	20	�	�	PROPN
ejpam-2402	44	21	�	�	PROPN
ejpam-2402	44	22	≤	≤	PROPN
ejpam-2402	44	23	r2	r2	NOUN
ejpam-2402	44	24	with	with	ADP
ejpam-2402	44	25	1	1	NUM
ejpam-2402	44	26	<	<	X
ejpam-2402	44	27	r1	r1	PROPN
ejpam-2402	44	28	,	,	PUNCT
ejpam-2402	44	29	(	(	PUNCT
ejpam-2402	44	30	p+1)r1	p+1)r1	PROPN
ejpam-2402	44	31	<	<	X
ejpam-2402	44	32	r1	r1	PROPN
ejpam-2402	44	33	,	,	PUNCT
ejpam-2402	44	34	1	1	NUM
ejpam-2402	44	35	<	<	X
ejpam-2402	44	36	r2	r2	NOUN
ejpam-2402	44	37	,	,	PUNCT
ejpam-2402	44	38	(	(	PUNCT
ejpam-2402	44	39	q+1)r2	q+1)r2	NOUN
ejpam-2402	44	40	<	<	X
ejpam-2402	44	41	r2	r2	PROPN
ejpam-2402	44	42	and	and	CCONJ
ejpam-2402	44	43	n	n	CCONJ
ejpam-2402	44	44	,	,	PUNCT
ejpam-2402	44	45	m	m	VERB
ejpam-2402	44	46	∈	∈	PROPN
ejpam-2402	44	47	n	n	PRON
ejpam-2402	44	48	�	�	PROPN
ejpam-2402	44	49	�	�	PROPN
ejpam-2402	44	50	bn	bn	PROPN
ejpam-2402	44	51	,	,	PUNCT
ejpam-2402	44	52	m	m	PROPN
ejpam-2402	44	53	,	,	PUNCT
ejpam-2402	44	54	p	p	X
ejpam-2402	44	55	,	,	PUNCT
ejpam-2402	44	56	q	q	X
ejpam-2402	44	57	(	(	PUNCT
ejpam-2402	44	58	f	f	PROPN
ejpam-2402	44	59	)	)	PUNCT
ejpam-2402	44	60	�	�	PROPN
ejpam-2402	44	61	z1	z1	PROPN
ejpam-2402	44	62	,	,	PUNCT
ejpam-2402	44	63	z2	z2	PROPN
ejpam-2402	44	64	�	�	PROPN
ejpam-2402	45	1	−	−	PROPN
ejpam-2402	45	2	f	f	PROPN
ejpam-2402	45	3	(	(	PUNCT
ejpam-2402	45	4	z1	z1	PROPN
ejpam-2402	45	5	;	;	PUNCT
ejpam-2402	45	6	z2	z2	NUM
ejpam-2402	45	7	)	)	PUNCT
ejpam-2402	45	8	�	�	PROPN
ejpam-2402	45	9	�	�	PROPN
ejpam-2402	45	10	≤	≤	PROPN
ejpam-2402	45	11	m	m	VERB
ejpam-2402	45	12	p	p	NOUN
ejpam-2402	45	13	,	,	PUNCT
ejpam-2402	45	14	q	q	ADJ
ejpam-2402	45	15	r1,r2,n	r1,r2,n	PROPN
ejpam-2402	45	16	,	,	PUNCT
ejpam-2402	45	17	m	m	VERB
ejpam-2402	45	18	(	(	PUNCT
ejpam-2402	45	19	f	f	PROPN
ejpam-2402	45	20	)	)	PUNCT
ejpam-2402	45	21	n.	n.	PROPN
ejpam-2402	45	22	i̇spir	i̇spir	PROPN
ejpam-2402	45	23	,	,	PUNCT
ejpam-2402	45	24	ş.	ş.	ADP
ejpam-2402	45	25	güngör	güngör	PROPN
ejpam-2402	45	26	/	/	SYM
ejpam-2402	45	27	eur	eur	PROPN
ejpam-2402	45	28	.	.	PUNCT
ejpam-2402	46	1	j.	j.	PROPN
ejpam-2402	46	2	pure	pure	PROPN
ejpam-2402	46	3	appl	appl	PROPN
ejpam-2402	46	4	.	.	PROPN
ejpam-2402	46	5	math	math	PROPN
ejpam-2402	46	6	,	,	PUNCT
ejpam-2402	46	7	9	9	NUM
ejpam-2402	46	8	(	(	PUNCT
ejpam-2402	46	9	2016	2016	NUM
ejpam-2402	46	10	)	)	PUNCT
ejpam-2402	46	11	,	,	PUNCT
ejpam-2402	46	12	322	322	NUM
ejpam-2402	46	13	-	-	SYM
ejpam-2402	46	14	332	332	NUM
ejpam-2402	46	15	324	324	NUM
ejpam-2402	46	16	where	where	SCONJ
ejpam-2402	46	17	m	m	VERB
ejpam-2402	46	18	p	p	NOUN
ejpam-2402	46	19	,	,	PUNCT
ejpam-2402	46	20	q	q	ADJ
ejpam-2402	46	21	r1,r2,n	r1,r2,n	PROPN
ejpam-2402	46	22	,	,	PUNCT
ejpam-2402	46	23	m	m	VERB
ejpam-2402	46	24	(	(	PUNCT
ejpam-2402	46	25	f	f	X
ejpam-2402	46	26	)	)	PUNCT
ejpam-2402	47	1	=	=	SYM
ejpam-2402	47	2	∞	∞	NUM
ejpam-2402	47	3	∑	∑	PUNCT
ejpam-2402	47	4	k=1	k=1	PROPN
ejpam-2402	47	5	∞	∞	NUM
ejpam-2402	47	6	∑	∑	PROPN
ejpam-2402	47	7	j=1	j=1	PROPN
ejpam-2402	47	8	�	�	PROPN
ejpam-2402	47	9	�	�	PROPN
ejpam-2402	47	10	ck	ck	PROPN
ejpam-2402	47	11	,	,	PUNCT
ejpam-2402	47	12	j	j	PROPN
ejpam-2402	47	13	�	�	PROPN
ejpam-2402	47	14	�	�	PROPN
ejpam-2402	47	15	r	r	PROPN
ejpam-2402	47	16	j	j	PROPN
ejpam-2402	47	17	2	2	NUM
ejpam-2402	47	18	�	�	NOUN
ejpam-2402	47	19	3k	3k	X
ejpam-2402	47	20	(	(	PUNCT
ejpam-2402	47	21	k−	k−	NOUN
ejpam-2402	47	22	1	1	NUM
ejpam-2402	47	23	)	)	PUNCT
ejpam-2402	47	24	�	�	PROPN
ejpam-2402	47	25	n+	n+	ADP
ejpam-2402	47	26	p	p	PROPN
ejpam-2402	47	27	�	�	PROPN
ejpam-2402	47	28	�	�	PROPN
ejpam-2402	47	29	�	�	PROPN
ejpam-2402	47	30	p+	p+	PART
ejpam-2402	47	31	1	1	NUM
ejpam-2402	47	32	�	�	PROPN
ejpam-2402	47	33	r1	r1	PROPN
ejpam-2402	47	34	�	�	PROPN
ejpam-2402	47	35	k	k	PROPN
ejpam-2402	47	36	+	+	PROPN
ejpam-2402	47	37	1	1	NUM
ejpam-2402	47	38	n	n	PRON
ejpam-2402	47	39	�	�	PROPN
ejpam-2402	47	40	�	�	PROPN
ejpam-2402	47	41	p+	p+	PART
ejpam-2402	47	42	1	1	NUM
ejpam-2402	47	43	�	�	PROPN
ejpam-2402	47	44	r1	r1	PROPN
ejpam-2402	47	45	�	�	PROPN
ejpam-2402	47	46	k	k	PROPN
ejpam-2402	47	47	−	−	PROPN
ejpam-2402	47	48	rk	rk	NOUN
ejpam-2402	47	49	1	1	NUM
ejpam-2402	47	50	n	n	PRON
ejpam-2402	47	51	�	�	PROPN
ejpam-2402	47	52	+	+	CCONJ
ejpam-2402	47	53	∞	∞	NUM
ejpam-2402	47	54	∑	∑	PUNCT
ejpam-2402	47	55	k=1	k=1	PROPN
ejpam-2402	47	56	∞	∞	NUM
ejpam-2402	47	57	∑	∑	PROPN
ejpam-2402	47	58	j=1	j=1	PROPN
ejpam-2402	47	59	�	�	PROPN
ejpam-2402	47	60	�	�	PROPN
ejpam-2402	47	61	ck	ck	PROPN
ejpam-2402	47	62	,	,	PUNCT
ejpam-2402	47	63	j	j	PROPN
ejpam-2402	47	64	�	�	PROPN
ejpam-2402	47	65	�	�	PROPN
ejpam-2402	47	66	rk	rk	NOUN
ejpam-2402	47	67	1	1	NUM
ejpam-2402	47	68			PROPN
ejpam-2402	47	69			NUM
ejpam-2402	47	70	3	3	NUM
ejpam-2402	47	71	j	j	PROPN
ejpam-2402	47	72	�	�	PROPN
ejpam-2402	48	1	j	j	PROPN
ejpam-2402	49	1	−	−	PROPN
ejpam-2402	49	2	1	1	NUM
ejpam-2402	49	3	�	�	PROPN
ejpam-2402	49	4	�	�	PROPN
ejpam-2402	49	5	m+	m+	NUM
ejpam-2402	49	6	q	q	PROPN
ejpam-2402	49	7	�	�	PROPN
ejpam-2402	49	8	�	�	PROPN
ejpam-2402	49	9	�	�	PROPN
ejpam-2402	49	10	q+	q+	ADP
ejpam-2402	49	11	1	1	NUM
ejpam-2402	49	12	�	�	PROPN
ejpam-2402	49	13	r2	r2	PROPN
ejpam-2402	49	14	�	�	PROPN
ejpam-2402	49	15	j	j	PROPN
ejpam-2402	49	16	+	+	CCONJ
ejpam-2402	49	17	1	1	NUM
ejpam-2402	49	18	m	m	PROPN
ejpam-2402	49	19	�	�	NOUN
ejpam-2402	49	20	�	�	PROPN
ejpam-2402	49	21	q+	q+	ADP
ejpam-2402	49	22	1	1	NUM
ejpam-2402	49	23	�	�	PROPN
ejpam-2402	49	24	r2	r2	PROPN
ejpam-2402	49	25	�	�	PROPN
ejpam-2402	50	1	j	j	PROPN
ejpam-2402	50	2	−	−	PROPN
ejpam-2402	50	3	r	r	NOUN
ejpam-2402	50	4	j	j	PROPN
ejpam-2402	50	5	2	2	NUM
ejpam-2402	50	6	m	m	NOUN
ejpam-2402	50	7			PROPN
ejpam-2402	50	8			PROPN
ejpam-2402	50	9	and	and	CCONJ
ejpam-2402	50	10	m	m	NOUN
ejpam-2402	50	11	p	p	NOUN
ejpam-2402	50	12	,	,	PUNCT
ejpam-2402	50	13	q	q	ADJ
ejpam-2402	50	14	r1,r2,n	r1,r2,n	PROPN
ejpam-2402	50	15	,	,	PUNCT
ejpam-2402	50	16	m	m	VERB
ejpam-2402	50	17	(	(	PUNCT
ejpam-2402	50	18	f	f	X
ejpam-2402	50	19	)	)	PUNCT
ejpam-2402	50	20	<	<	X
ejpam-2402	50	21	∞.	∞.	PROPN
ejpam-2402	50	22	(	(	PUNCT
ejpam-2402	50	23	ii	ii	NOUN
ejpam-2402	50	24	)	)	PUNCT
ejpam-2402	50	25	let	let	VERB
ejpam-2402	50	26	k1	k1	NOUN
ejpam-2402	50	27	,	,	PUNCT
ejpam-2402	50	28	k2	k2	PROPN
ejpam-2402	50	29	∈	∈	PROPN
ejpam-2402	51	1	n	n	AUX
ejpam-2402	51	2	be	be	VERB
ejpam-2402	51	3	with	with	ADP
ejpam-2402	51	4	k1	k1	NOUN
ejpam-2402	51	5	+	+	CCONJ
ejpam-2402	51	6	k2	k2	ADJ
ejpam-2402	51	7	≥	≥	NOUN
ejpam-2402	51	8	1	1	NUM
ejpam-2402	51	9	,	,	PUNCT
ejpam-2402	51	10	1≤	1≤	NOUN
ejpam-2402	51	11	r1	r1	PROPN
ejpam-2402	51	12	<	<	X
ejpam-2402	51	13	r∗1	r∗1	PROPN
ejpam-2402	51	14	≤	≤	PROPN
ejpam-2402	51	15	(	(	PUNCT
ejpam-2402	51	16	1	1	NUM
ejpam-2402	51	17	+	+	NUM
ejpam-2402	51	18	p)r1	p)r1	PROPN
ejpam-2402	51	19	<	<	X
ejpam-2402	51	20	r1	r1	PROPN
ejpam-2402	51	21	,	,	PUNCT
ejpam-2402	51	22	1≤	1≤	NUM
ejpam-2402	51	23	r2	r2	PROPN
ejpam-2402	51	24	<	<	X
ejpam-2402	51	25	r∗2	r∗2	ADJ
ejpam-2402	51	26	≤	≤	X
ejpam-2402	51	27	(	(	PUNCT
ejpam-2402	51	28	1+q)r2	1+q)r2	NUM
ejpam-2402	51	29	<	<	X
ejpam-2402	51	30	r2	r2	PROPN
ejpam-2402	51	31	.	.	PUNCT
ejpam-2402	52	1	then	then	ADV
ejpam-2402	52	2	for	for	ADP
ejpam-2402	52	3	all	all	DET
ejpam-2402	52	4	�	�	PROPN
ejpam-2402	52	5	�	�	PROPN
ejpam-2402	52	6	z1	z1	PROPN
ejpam-2402	52	7	�	�	PROPN
ejpam-2402	52	8	�	�	PROPN
ejpam-2402	52	9	≤	≤	PROPN
ejpam-2402	52	10	r1	r1	NOUN
ejpam-2402	52	11	,	,	PUNCT
ejpam-2402	52	12	�	�	PROPN
ejpam-2402	52	13	�	�	PROPN
ejpam-2402	52	14	z2	z2	PROPN
ejpam-2402	52	15	�	�	PROPN
ejpam-2402	52	16	�	�	PROPN
ejpam-2402	52	17	≤	≤	NOUN
ejpam-2402	52	18	r2	r2	NOUN
ejpam-2402	52	19	and	and	CCONJ
ejpam-2402	52	20	n	n	CCONJ
ejpam-2402	52	21	,	,	PUNCT
ejpam-2402	52	22	m	m	VERB
ejpam-2402	52	23	∈	∈	PROPN
ejpam-2402	52	24	n	n	CCONJ
ejpam-2402	52	25	,	,	PUNCT
ejpam-2402	52	26	p	p	X
ejpam-2402	52	27	,	,	PUNCT
ejpam-2402	52	28	q	q	PROPN
ejpam-2402	52	29	∈	∈	PROPN
ejpam-2402	52	30	n∪{0	n∪{0	NOUN
ejpam-2402	52	31	}	}	PUNCT
ejpam-2402	52	32	we	we	PRON
ejpam-2402	52	33	have	have	VERB
ejpam-2402	52	34	�	�	PROPN
ejpam-2402	52	35	�	�	PROPN
ejpam-2402	52	36	�	�	PROPN
ejpam-2402	52	37	�	�	PROPN
ejpam-2402	52	38	�	�	PROPN
ejpam-2402	52	39	∂	∂	NUM
ejpam-2402	52	40	k1+k2	k1+k2	PROPN
ejpam-2402	52	41	bn	bn	PROPN
ejpam-2402	52	42	,	,	PUNCT
ejpam-2402	52	43	m	m	PROPN
ejpam-2402	52	44	,	,	PUNCT
ejpam-2402	52	45	p	p	X
ejpam-2402	52	46	,	,	PUNCT
ejpam-2402	52	47	q	q	X
ejpam-2402	52	48	(	(	PUNCT
ejpam-2402	52	49	f	f	PROPN
ejpam-2402	52	50	)	)	PUNCT
ejpam-2402	52	51	∂	∂	PUNCT
ejpam-2402	53	1	k1z1∂	k1z1∂	PROPN
ejpam-2402	53	2	k2z2	k2z2	PROPN
ejpam-2402	53	3	�	�	PROPN
ejpam-2402	53	4	z1	z1	PROPN
ejpam-2402	53	5	,	,	PUNCT
ejpam-2402	53	6	z2	z2	PROPN
ejpam-2402	53	7	�	�	PROPN
ejpam-2402	53	8	−	−	PROPN
ejpam-2402	53	9	∂	∂	NOUN
ejpam-2402	53	10	k1+k2	k1+k2	PROPN
ejpam-2402	53	11	f	f	PROPN
ejpam-2402	53	12	∂	∂	NOUN
ejpam-2402	53	13	k1z1∂	k1z1∂	PROPN
ejpam-2402	53	14	k2z2	k2z2	PROPN
ejpam-2402	53	15	�	�	PROPN
ejpam-2402	53	16	z1	z1	PROPN
ejpam-2402	53	17	,	,	PUNCT
ejpam-2402	53	18	z2	z2	PROPN
ejpam-2402	53	19	�	�	PROPN
ejpam-2402	53	20	�	�	PROPN
ejpam-2402	53	21	�	�	PROPN
ejpam-2402	53	22	�	�	PROPN
ejpam-2402	53	23	�	�	PROPN
ejpam-2402	53	24	�	�	PROPN
ejpam-2402	53	25	≤	≤	PROPN
ejpam-2402	53	26	m	m	VERB
ejpam-2402	53	27	p	p	NOUN
ejpam-2402	53	28	,	,	PUNCT
ejpam-2402	53	29	q	q	PROPN
ejpam-2402	53	30	r∗	r∗	PROPN
ejpam-2402	53	31	1	1	NUM
ejpam-2402	53	32	,	,	PUNCT
ejpam-2402	53	33	r∗	r∗	VERB
ejpam-2402	53	34	2,n	2,n	NOUN
ejpam-2402	53	35	,	,	PUNCT
ejpam-2402	53	36	m	m	PROPN
ejpam-2402	53	37	(	(	PUNCT
ejpam-2402	53	38	f	f	PROPN
ejpam-2402	53	39	)	)	PUNCT
ejpam-2402	53	40	.	.	PUNCT
ejpam-2402	54	1	k1	k1	PROPN
ejpam-2402	54	2	!	!	PUNCT
ejpam-2402	55	1	�	�	PROPN
ejpam-2402	55	2	r∗	r∗	VERB
ejpam-2402	55	3	1	1	NUM
ejpam-2402	55	4	−	−	PROPN
ejpam-2402	55	5	r1	r1	PROPN
ejpam-2402	55	6	�	�	PROPN
ejpam-2402	55	7	k1	k1	PROPN
ejpam-2402	55	8	+	+	PROPN
ejpam-2402	55	9	1	1	NUM
ejpam-2402	55	10	k2	k2	NOUN
ejpam-2402	55	11	!	!	PUNCT
ejpam-2402	56	1	�	�	PROPN
ejpam-2402	56	2	r∗	r∗	VERB
ejpam-2402	56	3	2	2	NUM
ejpam-2402	56	4	−	−	PROPN
ejpam-2402	56	5	r2	r2	PROPN
ejpam-2402	56	6	�	�	PROPN
ejpam-2402	56	7	k2	k2	PROPN
ejpam-2402	56	8	+	+	PROPN
ejpam-2402	56	9	1	1	NUM
ejpam-2402	56	10	where	where	SCONJ
ejpam-2402	56	11	m	m	VERB
ejpam-2402	56	12	p	p	NOUN
ejpam-2402	56	13	,	,	PUNCT
ejpam-2402	56	14	q	q	PROPN
ejpam-2402	56	15	r∗	r∗	PROPN
ejpam-2402	56	16	1	1	NUM
ejpam-2402	56	17	,	,	PUNCT
ejpam-2402	56	18	r∗	r∗	VERB
ejpam-2402	56	19	2,n	2,n	NOUN
ejpam-2402	56	20	,	,	PUNCT
ejpam-2402	56	21	m	m	PROPN
ejpam-2402	56	22	(	(	PUNCT
ejpam-2402	56	23	f	f	PROPN
ejpam-2402	56	24	)	)	PUNCT
ejpam-2402	56	25	is	be	AUX
ejpam-2402	56	26	given	give	VERB
ejpam-2402	56	27	as	as	ADP
ejpam-2402	56	28	at	at	ADP
ejpam-2402	56	29	the	the	DET
ejpam-2402	56	30	above	above	ADJ
ejpam-2402	56	31	point	point	NOUN
ejpam-2402	56	32	(	(	PUNCT
ejpam-2402	56	33	i	i	NOUN
ejpam-2402	56	34	)	)	PUNCT
ejpam-2402	56	35	.	.	PUNCT
ejpam-2402	57	1	proof	proof	NOUN
ejpam-2402	57	2	.	.	PUNCT
ejpam-2402	58	1	(	(	PUNCT
ejpam-2402	58	2	i	i	NOUN
ejpam-2402	58	3	)	)	PUNCT
ejpam-2402	58	4	denote	denote	VERB
ejpam-2402	58	5	ek	ek	PROPN
ejpam-2402	58	6	,	,	PUNCT
ejpam-2402	58	7	j(z1	j(z1	NOUN
ejpam-2402	58	8	,	,	PUNCT
ejpam-2402	58	9	z2	z2	PROPN
ejpam-2402	58	10	)	)	PUNCT
ejpam-2402	58	11	=	=	SYM
ejpam-2402	58	12	ek(z1)e	ek(z1)e	PUNCT
ejpam-2402	58	13	j(z2	j(z2	PROPN
ejpam-2402	58	14	)	)	PUNCT
ejpam-2402	58	15	where	where	SCONJ
ejpam-2402	58	16	ek(u	ek(u	PUNCT
ejpam-2402	58	17	)	)	PUNCT
ejpam-2402	58	18	=	=	SYM
ejpam-2402	58	19	uk	uk	PROPN
ejpam-2402	58	20	.	.	PROPN
ejpam-2402	59	1	since	since	SCONJ
ejpam-2402	59	2	f	f	PROPN
ejpam-2402	59	3	(	(	PUNCT
ejpam-2402	59	4	z1	z1	PROPN
ejpam-2402	59	5	,	,	PUNCT
ejpam-2402	59	6	z2	z2	NUM
ejpam-2402	59	7	)	)	PUNCT
ejpam-2402	59	8	=	=	NOUN
ejpam-2402	59	9	∑∞	∑∞	NOUN
ejpam-2402	59	10	k=0	k=0	PROPN
ejpam-2402	59	11	∑∞	∑∞	NOUN
ejpam-2402	59	12	j=0	j=0	PROPN
ejpam-2402	59	13	ck	ck	PROPN
ejpam-2402	59	14	,	,	PUNCT
ejpam-2402	59	15	jek	jek	PROPN
ejpam-2402	59	16	,	,	PUNCT
ejpam-2402	59	17	j(z1	j(z1	NOUN
ejpam-2402	59	18	,	,	PUNCT
ejpam-2402	59	19	z2	z2	PROPN
ejpam-2402	59	20	)	)	PUNCT
ejpam-2402	59	21	and	and	CCONJ
ejpam-2402	59	22	by	by	ADP
ejpam-2402	59	23	the	the	DET
ejpam-2402	59	24	definition	definition	NOUN
ejpam-2402	59	25	of	of	ADP
ejpam-2402	59	26	the	the	DET
ejpam-2402	59	27	operator	operator	NOUN
ejpam-2402	59	28	(	(	PUNCT
ejpam-2402	59	29	1	1	X
ejpam-2402	59	30	)	)	PUNCT
ejpam-2402	59	31	we	we	PRON
ejpam-2402	59	32	get	get	VERB
ejpam-2402	59	33	�	�	PROPN
ejpam-2402	59	34	�	�	PROPN
ejpam-2402	59	35	bn	bn	PROPN
ejpam-2402	59	36	,	,	PUNCT
ejpam-2402	59	37	m	m	PROPN
ejpam-2402	59	38	,	,	PUNCT
ejpam-2402	59	39	p	p	X
ejpam-2402	59	40	,	,	PUNCT
ejpam-2402	59	41	q	q	X
ejpam-2402	59	42	(	(	PUNCT
ejpam-2402	59	43	f	f	PROPN
ejpam-2402	59	44	)	)	PUNCT
ejpam-2402	59	45	�	�	PROPN
ejpam-2402	59	46	z1	z1	PROPN
ejpam-2402	59	47	,	,	PUNCT
ejpam-2402	59	48	z2	z2	PROPN
ejpam-2402	59	49	�	�	PROPN
ejpam-2402	60	1	−	−	PROPN
ejpam-2402	60	2	f	f	PROPN
ejpam-2402	60	3	(	(	PUNCT
ejpam-2402	60	4	z1	z1	PROPN
ejpam-2402	60	5	,	,	PUNCT
ejpam-2402	60	6	z2	z2	PROPN
ejpam-2402	60	7	)	)	PUNCT
ejpam-2402	60	8	�	�	PROPN
ejpam-2402	60	9	�	�	PROPN
ejpam-2402	60	10	≤	≤	NUM
ejpam-2402	60	11	∞	∞	NUM
ejpam-2402	60	12	∑	∑	PUNCT
ejpam-2402	60	13	k=0	k=0	PROPN
ejpam-2402	60	14	∞	∞	PROPN
ejpam-2402	60	15	∑	∑	PUNCT
ejpam-2402	60	16	j=0	j=0	PROPN
ejpam-2402	60	17	�	�	PROPN
ejpam-2402	60	18	�	�	PROPN
ejpam-2402	60	19	ck	ck	PROPN
ejpam-2402	60	20	,	,	PUNCT
ejpam-2402	60	21	j	j	PROPN
ejpam-2402	60	22	�	�	PROPN
ejpam-2402	60	23	�	�	PROPN
ejpam-2402	60	24	�	�	PROPN
ejpam-2402	60	25	�	�	PROPN
ejpam-2402	60	26	bn	bn	PROPN
ejpam-2402	60	27	,	,	PUNCT
ejpam-2402	60	28	m	m	PROPN
ejpam-2402	60	29	,	,	PUNCT
ejpam-2402	60	30	p	p	X
ejpam-2402	60	31	,	,	PUNCT
ejpam-2402	60	32	q(ek	q(ek	X
ejpam-2402	60	33	,	,	PUNCT
ejpam-2402	60	34	j	j	PROPN
ejpam-2402	60	35	)	)	PUNCT
ejpam-2402	60	36	�	�	PROPN
ejpam-2402	60	37	z1	z1	PROPN
ejpam-2402	60	38	,	,	PUNCT
ejpam-2402	60	39	z2	z2	PROPN
ejpam-2402	60	40	�	�	PROPN
ejpam-2402	60	41	−	−	PROPN
ejpam-2402	60	42	ek	ek	PROPN
ejpam-2402	60	43	,	,	PUNCT
ejpam-2402	60	44	j(z1	j(z1	NOUN
ejpam-2402	60	45	,	,	PUNCT
ejpam-2402	60	46	z2	z2	PROPN
ejpam-2402	60	47	)	)	PUNCT
ejpam-2402	60	48	�	�	PROPN
ejpam-2402	60	49	�	�	PROPN
ejpam-2402	60	50	.	.	PUNCT
ejpam-2402	61	1	by	by	ADP
ejpam-2402	61	2	the	the	DET
ejpam-2402	61	3	simple	simple	ADJ
ejpam-2402	61	4	calculation	calculation	NOUN
ejpam-2402	61	5	we	we	PRON
ejpam-2402	61	6	can	can	AUX
ejpam-2402	61	7	write	write	VERB
ejpam-2402	61	8	�	�	PROPN
ejpam-2402	61	9	�	�	PROPN
ejpam-2402	61	10	bn	bn	PROPN
ejpam-2402	61	11	,	,	PUNCT
ejpam-2402	61	12	m	m	PROPN
ejpam-2402	61	13	,	,	PUNCT
ejpam-2402	61	14	p	p	X
ejpam-2402	61	15	,	,	PUNCT
ejpam-2402	61	16	q(ek	q(ek	X
ejpam-2402	61	17	,	,	PUNCT
ejpam-2402	61	18	j	j	PROPN
ejpam-2402	61	19	)	)	PUNCT
ejpam-2402	61	20	�	�	PROPN
ejpam-2402	61	21	z1	z1	PROPN
ejpam-2402	61	22	,	,	PUNCT
ejpam-2402	61	23	z2	z2	PROPN
ejpam-2402	61	24	�	�	PROPN
ejpam-2402	61	25	−	−	PROPN
ejpam-2402	61	26	ek	ek	PROPN
ejpam-2402	61	27	,	,	PUNCT
ejpam-2402	61	28	j(z1	j(z1	NOUN
ejpam-2402	61	29	,	,	PUNCT
ejpam-2402	61	30	z2	z2	PROPN
ejpam-2402	61	31	)	)	PUNCT
ejpam-2402	61	32	�	�	PROPN
ejpam-2402	61	33	�	�	PROPN
ejpam-2402	61	34	=	=	SYM
ejpam-2402	61	35	�	�	PROPN
ejpam-2402	61	36	�	�	PROPN
ejpam-2402	61	37	�	�	PROPN
ejpam-2402	61	38	bn	bn	PROPN
ejpam-2402	61	39	,	,	PUNCT
ejpam-2402	61	40	p(ek)(z1).bm	p(ek)(z1).bm	NOUN
ejpam-2402	61	41	,	,	PUNCT
ejpam-2402	61	42	q(e	q(e	PROPN
ejpam-2402	61	43	j)(z2)−	j)(z2)−	NOUN
ejpam-2402	61	44	zk	zk	PROPN
ejpam-2402	61	45	1z	1z	PROPN
ejpam-2402	61	46	j	j	PROPN
ejpam-2402	61	47	2	2	NUM
ejpam-2402	61	48	�	�	PROPN
ejpam-2402	61	49	�	�	PROPN
ejpam-2402	61	50	�	�	PROPN
ejpam-2402	61	51	≤	≤	PROPN
ejpam-2402	61	52	�	�	PROPN
ejpam-2402	61	53	�	�	PROPN
ejpam-2402	61	54	�	�	PROPN
ejpam-2402	61	55	z	z	PROPN
ejpam-2402	61	56	j	j	PROPN
ejpam-2402	61	57	2	2	NUM
ejpam-2402	61	58	�	�	PROPN
ejpam-2402	61	59	�	�	PROPN
ejpam-2402	61	60	�	�	PROPN
ejpam-2402	61	61	�	�	PROPN
ejpam-2402	61	62	�	�	PROPN
ejpam-2402	61	63	bn	bn	PROPN
ejpam-2402	61	64	,	,	PUNCT
ejpam-2402	61	65	p(ek)(z1)−	p(ek)(z1)−	ADJ
ejpam-2402	61	66	zk	zk	PROPN
ejpam-2402	61	67	1	1	NUM
ejpam-2402	61	68	�	�	PROPN
ejpam-2402	61	69	�	�	PROPN
ejpam-2402	61	70	+	+	PROPN
ejpam-2402	61	71	�	�	PROPN
ejpam-2402	61	72	�	�	PROPN
ejpam-2402	61	73	bn	bn	PROPN
ejpam-2402	61	74	,	,	PUNCT
ejpam-2402	61	75	p(ek)(z1	p(ek)(z1	ADJ
ejpam-2402	61	76	)	)	PUNCT
ejpam-2402	61	77	�	�	PROPN
ejpam-2402	61	78	�	�	PROPN
ejpam-2402	61	79	�	�	PROPN
ejpam-2402	61	80	�	�	PROPN
ejpam-2402	61	81	�	�	PROPN
ejpam-2402	61	82	bm	bm	PROPN
ejpam-2402	61	83	,	,	PUNCT
ejpam-2402	61	84	q(e	q(e	PROPN
ejpam-2402	61	85	j)(z2)−	j)(z2)−	PROPN
ejpam-2402	61	86	z	z	PROPN
ejpam-2402	61	87	j	j	PROPN
ejpam-2402	61	88	2	2	NUM
ejpam-2402	61	89	�	�	PROPN
ejpam-2402	61	90	�	�	PROPN
ejpam-2402	61	91	�	�	PROPN
ejpam-2402	61	92	≤r	≤r	PROPN
ejpam-2402	61	93	j	j	PROPN
ejpam-2402	61	94	2	2	NUM
ejpam-2402	61	95	a+	a+	PRON
ejpam-2402	61	96	�	�	PROPN
ejpam-2402	61	97	�	�	PROPN
ejpam-2402	61	98	bn	bn	PROPN
ejpam-2402	61	99	,	,	PUNCT
ejpam-2402	61	100	p(ek)(z1	p(ek)(z1	ADJ
ejpam-2402	61	101	)	)	PUNCT
ejpam-2402	61	102	�	�	PROPN
ejpam-2402	61	103	�	�	PROPN
ejpam-2402	61	104	b	b	PROPN
ejpam-2402	61	105	,	,	PUNCT
ejpam-2402	61	106	(	(	PUNCT
ejpam-2402	61	107	2	2	X
ejpam-2402	61	108	)	)	PUNCT
ejpam-2402	61	109	say	say	INTJ
ejpam-2402	61	110	.	.	PUNCT
ejpam-2402	62	1	by	by	ADP
ejpam-2402	62	2	the	the	DET
ejpam-2402	62	3	stirling	stirling	NOUN
ejpam-2402	62	4	numbers	number	NOUN
ejpam-2402	62	5	of	of	ADP
ejpam-2402	62	6	second	second	ADJ
ejpam-2402	62	7	kind	kind	NOUN
ejpam-2402	62	8	s	s	PROPN
ejpam-2402	62	9	�	�	PROPN
ejpam-2402	62	10	k	k	PROPN
ejpam-2402	62	11	,	,	PUNCT
ejpam-2402	62	12	j	j	PROPN
ejpam-2402	62	13	�	�	PROPN
ejpam-2402	62	14	,	,	PUNCT
ejpam-2402	62	15	we	we	PRON
ejpam-2402	62	16	can	can	AUX
ejpam-2402	62	17	write	write	VERB
ejpam-2402	62	18	bn	bn	ADJ
ejpam-2402	62	19	,	,	PUNCT
ejpam-2402	62	20	p(ek)(z1	p(ek)(z1	NOUN
ejpam-2402	62	21	)	)	PUNCT
ejpam-2402	62	22	=	=	SYM
ejpam-2402	63	1	k	k	X
ejpam-2402	63	2	∑	∑	PUNCT
ejpam-2402	63	3	j=1	j=1	PROPN
ejpam-2402	63	4	s	s	PROPN
ejpam-2402	63	5	�	�	PROPN
ejpam-2402	63	6	k	k	PROPN
ejpam-2402	63	7	,	,	PUNCT
ejpam-2402	63	8	j	j	PROPN
ejpam-2402	63	9	�	�	PROPN
ejpam-2402	63	10	�	�	PROPN
ejpam-2402	63	11	n+	n+	ADP
ejpam-2402	63	12	p	p	PROPN
ejpam-2402	63	13	�	�	PROPN
ejpam-2402	63	14	.	.	PUNCT
ejpam-2402	63	15	.	.	PUNCT
ejpam-2402	63	16	.	.	PUNCT
ejpam-2402	64	1	�	�	PROPN
ejpam-2402	64	2	n+	n+	PUNCT
ejpam-2402	64	3	p−	p−	PROPN
ejpam-2402	64	4	�	�	PROPN
ejpam-2402	64	5	j	j	PROPN
ejpam-2402	64	6	−	−	PROPN
ejpam-2402	64	7	1	1	NUM
ejpam-2402	64	8	�	�	PROPN
ejpam-2402	64	9	�	�	PROPN
ejpam-2402	64	10	�	�	PROPN
ejpam-2402	64	11	n+	n+	ADP
ejpam-2402	64	12	p	p	PROPN
ejpam-2402	64	13	�	�	PROPN
ejpam-2402	64	14	j	j	PROPN
ejpam-2402	64	15	z	z	PROPN
ejpam-2402	64	16	j	j	PROPN
ejpam-2402	64	17	(	(	PUNCT
ejpam-2402	64	18	for	for	ADP
ejpam-2402	64	19	complex	complex	ADJ
ejpam-2402	64	20	bernstein	bernstein	PROPN
ejpam-2402	64	21	polynomials	polynomial	NOUN
ejpam-2402	64	22	in	in	ADP
ejpam-2402	64	23	one	one	NUM
ejpam-2402	64	24	variable	variable	NOUN
ejpam-2402	64	25	see	see	VERB
ejpam-2402	64	26	[	[	X
ejpam-2402	64	27	5	5	NUM
ejpam-2402	64	28	,	,	PUNCT
ejpam-2402	64	29	page	page	NOUN
ejpam-2402	64	30	27	27	NUM
ejpam-2402	64	31	]	]	PUNCT
ejpam-2402	64	32	)	)	PUNCT
ejpam-2402	64	33	.	.	PUNCT
ejpam-2402	65	1	since	since	SCONJ
ejpam-2402	65	2	s	s	PROPN
ejpam-2402	65	3	�	�	PROPN
ejpam-2402	65	4	k	k	PROPN
ejpam-2402	65	5	,	,	PUNCT
ejpam-2402	65	6	j	j	PROPN
ejpam-2402	65	7	�	�	PROPN
ejpam-2402	65	8	¾	¾	PROPN
ejpam-2402	65	9	0	0	NUM
ejpam-2402	65	10	,	,	PUNCT
ejpam-2402	65	11	for	for	ADP
ejpam-2402	65	12	all	all	DET
ejpam-2402	65	13	n	n	NOUN
ejpam-2402	65	14	,	,	PUNCT
ejpam-2402	65	15	k	k	PROPN
ejpam-2402	65	16	∈	∈	PROPN
ejpam-2402	65	17	n	n	CCONJ
ejpam-2402	65	18	,	,	PUNCT
ejpam-2402	65	19	p	p	PROPN
ejpam-2402	65	20	∈	∈	PROPN
ejpam-2402	65	21	n∪	n∪	X
ejpam-2402	65	22	{	{	PUNCT
ejpam-2402	65	23	0	0	NUM
ejpam-2402	65	24	}	}	PUNCT
ejpam-2402	65	25	and	and	CCONJ
ejpam-2402	65	26	∑k	∑k	PROPN
ejpam-2402	65	27	j=1	j=1	PROPN
ejpam-2402	65	28	s	s	PROPN
ejpam-2402	65	29	�	�	PROPN
ejpam-2402	65	30	k	k	PROPN
ejpam-2402	65	31	,	,	PUNCT
ejpam-2402	65	32	j	j	PROPN
ejpam-2402	65	33	�	�	PROPN
ejpam-2402	65	34	�	�	PROPN
ejpam-2402	65	35	n+	n+	ADP
ejpam-2402	65	36	p	p	PROPN
ejpam-2402	65	37	�	�	PROPN
ejpam-2402	65	38	.	.	PUNCT
ejpam-2402	65	39	.	.	PUNCT
ejpam-2402	65	40	.	.	PUNCT
ejpam-2402	66	1	�	�	PROPN
ejpam-2402	66	2	n+	n+	PUNCT
ejpam-2402	66	3	p−	p−	PROPN
ejpam-2402	66	4	�	�	PROPN
ejpam-2402	66	5	j	j	PROPN
ejpam-2402	66	6	−	−	PROPN
ejpam-2402	66	7	1	1	NUM
ejpam-2402	66	8	�	�	PROPN
ejpam-2402	66	9	�	�	PROPN
ejpam-2402	66	10	=	=	SYM
ejpam-2402	66	11	�	�	PROPN
ejpam-2402	66	12	n+	n+	ADP
ejpam-2402	66	13	p	p	PROPN
ejpam-2402	66	14	�	�	PROPN
ejpam-2402	66	15	k	k	PROPN
ejpam-2402	66	16	it	it	PRON
ejpam-2402	66	17	follows	follow	VERB
ejpam-2402	66	18	�	�	PROPN
ejpam-2402	66	19	�	�	PROPN
ejpam-2402	66	20	bn	bn	PROPN
ejpam-2402	66	21	,	,	PUNCT
ejpam-2402	66	22	p(ek)(z1	p(ek)(z1	ADJ
ejpam-2402	66	23	)	)	PUNCT
ejpam-2402	66	24	�	�	PROPN
ejpam-2402	66	25	�	�	PROPN
ejpam-2402	66	26	¶	¶	PROPN
ejpam-2402	66	27	k	k	PROPN
ejpam-2402	67	1	∑	∑	PUNCT
ejpam-2402	67	2	j=1	j=1	PROPN
ejpam-2402	67	3	s	s	PROPN
ejpam-2402	67	4	�	�	PROPN
ejpam-2402	67	5	k	k	PROPN
ejpam-2402	67	6	,	,	PUNCT
ejpam-2402	67	7	j	j	PROPN
ejpam-2402	67	8	�	�	PROPN
ejpam-2402	67	9	�	�	PROPN
ejpam-2402	67	10	n+	n+	ADP
ejpam-2402	67	11	p	p	PROPN
ejpam-2402	67	12	�	�	PROPN
ejpam-2402	67	13	.	.	PUNCT
ejpam-2402	67	14	.	.	PUNCT
ejpam-2402	67	15	.	.	PUNCT
ejpam-2402	68	1	�	�	PROPN
ejpam-2402	68	2	n+	n+	PUNCT
ejpam-2402	68	3	p−	p−	PROPN
ejpam-2402	68	4	�	�	PROPN
ejpam-2402	68	5	j	j	PROPN
ejpam-2402	68	6	−	−	PROPN
ejpam-2402	68	7	1	1	NUM
ejpam-2402	68	8	�	�	PROPN
ejpam-2402	68	9	�	�	PROPN
ejpam-2402	68	10	�	�	PROPN
ejpam-2402	68	11	n+	n+	ADP
ejpam-2402	68	12	p	p	PROPN
ejpam-2402	68	13	�	�	PROPN
ejpam-2402	68	14	k	k	PROPN
ejpam-2402	68	15	r	r	PROPN
ejpam-2402	68	16	j	j	PROPN
ejpam-2402	68	17	¶	¶	INTJ
ejpam-2402	68	18	rk	rk	PROPN
ejpam-2402	68	19	n.	n.	PROPN
ejpam-2402	68	20	i̇spir	i̇spir	PROPN
ejpam-2402	68	21	,	,	PUNCT
ejpam-2402	68	22	ş.	ş.	ADP
ejpam-2402	68	23	güngör	güngör	PROPN
ejpam-2402	68	24	/	/	SYM
ejpam-2402	68	25	eur	eur	PROPN
ejpam-2402	68	26	.	.	PUNCT
ejpam-2402	69	1	j.	j.	PROPN
ejpam-2402	69	2	pure	pure	PROPN
ejpam-2402	69	3	appl	appl	PROPN
ejpam-2402	69	4	.	.	PROPN
ejpam-2402	69	5	math	math	PROPN
ejpam-2402	69	6	,	,	PUNCT
ejpam-2402	69	7	9	9	NUM
ejpam-2402	69	8	(	(	PUNCT
ejpam-2402	69	9	2016	2016	NUM
ejpam-2402	69	10	)	)	PUNCT
ejpam-2402	69	11	,	,	PUNCT
ejpam-2402	69	12	322	322	NUM
ejpam-2402	69	13	-	-	SYM
ejpam-2402	69	14	332	332	NUM
ejpam-2402	69	15	325	325	NUM
ejpam-2402	69	16	for	for	ADP
ejpam-2402	69	17	all	all	DET
ejpam-2402	69	18	�	�	PROPN
ejpam-2402	69	19	�	�	PROPN
ejpam-2402	69	20	z1	z1	PROPN
ejpam-2402	69	21	�	�	PROPN
ejpam-2402	69	22	�	�	PROPN
ejpam-2402	69	23	≤	≤	PROPN
ejpam-2402	69	24	r1	r1	NOUN
ejpam-2402	69	25	,	,	PUNCT
ejpam-2402	69	26	with	with	ADP
ejpam-2402	69	27	1	1	NUM
ejpam-2402	69	28	<	<	X
ejpam-2402	69	29	r1	r1	PROPN
ejpam-2402	69	30	,	,	PUNCT
ejpam-2402	69	31	(	(	PUNCT
ejpam-2402	69	32	p+1)r1	p+1)r1	PROPN
ejpam-2402	69	33	<	<	X
ejpam-2402	69	34	r1	r1	PROPN
ejpam-2402	69	35	.	.	PUNCT
ejpam-2402	70	1	to	to	PART
ejpam-2402	70	2	estimate	estimate	VERB
ejpam-2402	70	3	a	a	PRON
ejpam-2402	70	4	and	and	CCONJ
ejpam-2402	70	5	b	b	NOUN
ejpam-2402	70	6	for	for	ADP
ejpam-2402	70	7	fixed	fixed	ADJ
ejpam-2402	70	8	n	n	CCONJ
ejpam-2402	70	9	,	,	PUNCT
ejpam-2402	70	10	m	m	PROPN
ejpam-2402	70	11	∈	∈	PROPN
ejpam-2402	70	12	n	n	CCONJ
ejpam-2402	70	13	,	,	PUNCT
ejpam-2402	70	14	we	we	PRON
ejpam-2402	70	15	should	should	AUX
ejpam-2402	70	16	consider	consider	VERB
ejpam-2402	70	17	two	two	NUM
ejpam-2402	70	18	possible	possible	ADJ
ejpam-2402	70	19	cases	case	NOUN
ejpam-2402	70	20	:	:	PUNCT
ejpam-2402	70	21	(	(	PUNCT
ejpam-2402	70	22	1	1	X
ejpam-2402	70	23	)	)	PUNCT
ejpam-2402	70	24	0≤	0≤	NUM
ejpam-2402	71	1	k	k	NOUN
ejpam-2402	71	2	≤	≤	PROPN
ejpam-2402	71	3	n+	n+	PUNCT
ejpam-2402	72	1	p	p	X
ejpam-2402	72	2	,	,	PUNCT
ejpam-2402	72	3	0≤	0≤	NUM
ejpam-2402	73	1	j	j	PROPN
ejpam-2402	73	2	≤	≤	NUM
ejpam-2402	73	3	m+	m+	NUM
ejpam-2402	73	4	q	q	NOUN
ejpam-2402	73	5	and	and	CCONJ
ejpam-2402	73	6	(	(	PUNCT
ejpam-2402	73	7	2	2	NUM
ejpam-2402	73	8	)	)	PUNCT
ejpam-2402	73	9	k	k	NOUN
ejpam-2402	73	10	>	>	X
ejpam-2402	73	11	n+	n+	X
ejpam-2402	74	1	p	p	X
ejpam-2402	74	2	,	,	PUNCT
ejpam-2402	74	3	j	j	PROPN
ejpam-2402	74	4	>	>	X
ejpam-2402	74	5	m+	m+	NUM
ejpam-2402	74	6	q.	q.	NOUN
ejpam-2402	75	1	we	we	PRON
ejpam-2402	75	2	start	start	VERB
ejpam-2402	75	3	with	with	ADP
ejpam-2402	75	4	case	case	NOUN
ejpam-2402	75	5	(	(	PUNCT
ejpam-2402	75	6	1	1	NUM
ejpam-2402	75	7	)	)	PUNCT
ejpam-2402	75	8	.	.	PUNCT
ejpam-2402	76	1	if	if	SCONJ
ejpam-2402	76	2	k	k	PROPN
ejpam-2402	76	3	=	=	SYM
ejpam-2402	76	4	0	0	PROPN
ejpam-2402	76	5	,	,	PUNCT
ejpam-2402	76	6	j	j	X
ejpam-2402	77	1	=	=	PUNCT
ejpam-2402	77	2	0	0	PUNCT
ejpam-2402	78	1	then	then	ADV
ejpam-2402	78	2	obviously	obviously	ADV
ejpam-2402	78	3	we	we	PRON
ejpam-2402	78	4	get	get	VERB
ejpam-2402	78	5	�	�	PROPN
ejpam-2402	78	6	�	�	PROPN
ejpam-2402	78	7	bn	bn	PROPN
ejpam-2402	78	8	,	,	PUNCT
ejpam-2402	78	9	p(ek)(z1)−	p(ek)(z1)−	ADJ
ejpam-2402	78	10	(	(	PUNCT
ejpam-2402	78	11	ek)(z1	ek)(z1	ADJ
ejpam-2402	78	12	)	)	PUNCT
ejpam-2402	78	13	�	�	PROPN
ejpam-2402	78	14	�	�	PROPN
ejpam-2402	78	15	=	=	SYM
ejpam-2402	78	16	0	0	NUM
ejpam-2402	78	17	and	and	CCONJ
ejpam-2402	78	18	�	�	PROPN
ejpam-2402	78	19	�	�	PROPN
ejpam-2402	78	20	bm	bm	PROPN
ejpam-2402	78	21	,	,	PUNCT
ejpam-2402	78	22	q(e	q(e	PROPN
ejpam-2402	78	23	j)(z2)−	j)(z2)−	PROPN
ejpam-2402	78	24	(	(	PUNCT
ejpam-2402	78	25	e	e	PROPN
ejpam-2402	78	26	j)(z2	j)(z2	PROPN
ejpam-2402	78	27	)	)	PUNCT
ejpam-2402	78	28	�	�	PROPN
ejpam-2402	78	29	�	�	PROPN
ejpam-2402	78	30	=	=	PROPN
ejpam-2402	78	31	0	0	NUM
ejpam-2402	78	32	.	.	PUNCT
ejpam-2402	79	1	therefore	therefore	ADV
ejpam-2402	79	2	,	,	PUNCT
ejpam-2402	79	3	let	let	VERB
ejpam-2402	79	4	us	we	PRON
ejpam-2402	79	5	suppose	suppose	VERB
ejpam-2402	79	6	that	that	SCONJ
ejpam-2402	79	7	1≤	1≤	NUM
ejpam-2402	79	8	k	k	PROPN
ejpam-2402	79	9	≤	≤	PROPN
ejpam-2402	79	10	n+	n+	PUNCT
ejpam-2402	80	1	p	p	X
ejpam-2402	80	2	,	,	PUNCT
ejpam-2402	80	3	1	1	NUM
ejpam-2402	80	4	≤	≤	NUM
ejpam-2402	80	5	j	j	PROPN
ejpam-2402	80	6	≤	≤	NUM
ejpam-2402	80	7	m+	m+	NUM
ejpam-2402	80	8	q.	q.	NOUN
ejpam-2402	80	9	denoting	denote	VERB
ejpam-2402	80	10	by	by	ADP
ejpam-2402	80	11	∆k	∆k	PROPN
ejpam-2402	80	12	the	the	DET
ejpam-2402	80	13	finite	finite	ADJ
ejpam-2402	80	14	difference	difference	NOUN
ejpam-2402	80	15	of	of	ADP
ejpam-2402	80	16	order	order	NOUN
ejpam-2402	80	17	k	k	NOUN
ejpam-2402	80	18	,	,	PUNCT
ejpam-2402	80	19	as	as	ADP
ejpam-2402	80	20	in	in	ADP
ejpam-2402	80	21	the	the	DET
ejpam-2402	80	22	case	case	NOUN
ejpam-2402	80	23	of	of	ADP
ejpam-2402	80	24	the	the	DET
ejpam-2402	80	25	classical	classical	ADJ
ejpam-2402	80	26	bernstein	bernstein	PROPN
ejpam-2402	80	27	polynomials	polynomial	NOUN
ejpam-2402	80	28	we	we	PRON
ejpam-2402	80	29	easily	easily	ADV
ejpam-2402	80	30	can	can	AUX
ejpam-2402	80	31	write	write	VERB
ejpam-2402	80	32	the	the	DET
ejpam-2402	80	33	representation	representation	NOUN
ejpam-2402	80	34	formulas	formula	NOUN
ejpam-2402	80	35	bn	bn	ADP
ejpam-2402	80	36	,	,	PUNCT
ejpam-2402	80	37	p	p	X
ejpam-2402	80	38	(	(	PUNCT
ejpam-2402	80	39	f	f	PROPN
ejpam-2402	80	40	)	)	PUNCT
ejpam-2402	80	41	(	(	PUNCT
ejpam-2402	80	42	z1	z1	PROPN
ejpam-2402	80	43	)	)	PUNCT
ejpam-2402	80	44	=	=	SYM
ejpam-2402	80	45	n+p	n+p	PUNCT
ejpam-2402	80	46	∑	∑	PUNCT
ejpam-2402	80	47	v=0	v=0	VERB
ejpam-2402	80	48	∆v	∆v	PROPN
ejpam-2402	80	49	1	1	NUM
ejpam-2402	80	50	/	/	SYM
ejpam-2402	80	51	n	n	PRON
ejpam-2402	80	52	f	f	PROPN
ejpam-2402	80	53	(	(	PUNCT
ejpam-2402	80	54	0)ev(z1	0)ev(z1	PROPN
ejpam-2402	80	55	)	)	PUNCT
ejpam-2402	80	56	,	,	PUNCT
ejpam-2402	80	57	bm	bm	PROPN
ejpam-2402	80	58	,	,	PUNCT
ejpam-2402	80	59	q	q	PROPN
ejpam-2402	80	60	(	(	PUNCT
ejpam-2402	80	61	f	f	NOUN
ejpam-2402	80	62	)	)	PUNCT
ejpam-2402	80	63	(	(	PUNCT
ejpam-2402	80	64	z2	z2	NUM
ejpam-2402	80	65	)	)	PUNCT
ejpam-2402	80	66	=	=	SYM
ejpam-2402	80	67	m+q	m+q	NOUN
ejpam-2402	80	68	∑	∑	PUNCT
ejpam-2402	80	69	w=0	w=0	PROPN
ejpam-2402	80	70	∆w	∆w	PROPN
ejpam-2402	80	71	1	1	NUM
ejpam-2402	80	72	/	/	SYM
ejpam-2402	80	73	m	m	PROPN
ejpam-2402	80	74	f	f	PROPN
ejpam-2402	80	75	(	(	PUNCT
ejpam-2402	80	76	0)ew(z2	0)ew(z2	PROPN
ejpam-2402	80	77	)	)	PUNCT
ejpam-2402	80	78	.	.	PUNCT
ejpam-2402	81	1	for	for	ADP
ejpam-2402	81	2	simplicity	simplicity	NOUN
ejpam-2402	81	3	,	,	PUNCT
ejpam-2402	81	4	we	we	PRON
ejpam-2402	81	5	use	use	VERB
ejpam-2402	81	6	the	the	DET
ejpam-2402	81	7	following	follow	VERB
ejpam-2402	81	8	notations	notation	NOUN
ejpam-2402	81	9	c	c	PROPN
ejpam-2402	81	10	p	p	NOUN
ejpam-2402	81	11	n	n	CCONJ
ejpam-2402	81	12	,	,	PUNCT
ejpam-2402	81	13	v	v	NOUN
ejpam-2402	81	14	,	,	PUNCT
ejpam-2402	81	15	k	k	PROPN
ejpam-2402	81	16	=	=	SYM
ejpam-2402	81	17	�	�	PROPN
ejpam-2402	81	18	n+	n+	ADP
ejpam-2402	81	19	p	p	PROPN
ejpam-2402	81	20	v	v	ADP
ejpam-2402	81	21	�	�	PROPN
ejpam-2402	81	22	∆v	∆v	PROPN
ejpam-2402	81	23	1	1	NUM
ejpam-2402	81	24	/	/	SYM
ejpam-2402	81	25	n	n	PRON
ejpam-2402	81	26	ek(0	ek(0	NOUN
ejpam-2402	81	27	)	)	PUNCT
ejpam-2402	81	28	=	=	SYM
ejpam-2402	81	29	�	�	PROPN
ejpam-2402	81	30	n+	n+	ADP
ejpam-2402	81	31	p	p	PROPN
ejpam-2402	81	32	v	v	NUM
ejpam-2402	81	33	�	�	PROPN
ejpam-2402	81	34	�	�	PROPN
ejpam-2402	81	35	0	0	NUM
ejpam-2402	81	36	,	,	PUNCT
ejpam-2402	81	37	1	1	NUM
ejpam-2402	81	38	n	n	NOUN
ejpam-2402	81	39	.	.	PUNCT
ejpam-2402	81	40	.	.	PUNCT
ejpam-2402	82	1	.	.	PUNCT
ejpam-2402	83	1	,	,	PUNCT
ejpam-2402	83	2	j	j	PROPN
ejpam-2402	83	3	n	n	PROPN
ejpam-2402	83	4	;	;	PUNCT
ejpam-2402	83	5	ek	ek	PROPN
ejpam-2402	83	6	�	�	PROPN
ejpam-2402	84	1	v!/nv	v!/nv	PROPN
ejpam-2402	84	2	,	,	PUNCT
ejpam-2402	84	3	c	c	PROPN
ejpam-2402	84	4	q	q	PROPN
ejpam-2402	84	5	n	n	CCONJ
ejpam-2402	84	6	,	,	PUNCT
ejpam-2402	84	7	w	w	PROPN
ejpam-2402	84	8	,	,	PUNCT
ejpam-2402	84	9	j	j	PROPN
ejpam-2402	84	10	=	=	SYM
ejpam-2402	84	11	�	�	PROPN
ejpam-2402	84	12	m+	m+	NUM
ejpam-2402	84	13	q	q	PROPN
ejpam-2402	84	14	w	w	PROPN
ejpam-2402	84	15	�	�	PROPN
ejpam-2402	84	16	∆w	∆w	PROPN
ejpam-2402	84	17	1	1	NUM
ejpam-2402	84	18	/	/	SYM
ejpam-2402	84	19	m	m	PROPN
ejpam-2402	84	20	e	e	NOUN
ejpam-2402	84	21	j(0	j(0	PROPN
ejpam-2402	84	22	)	)	PUNCT
ejpam-2402	84	23	=	=	SYM
ejpam-2402	84	24	�	�	PROPN
ejpam-2402	85	1	m+	m+	NUM
ejpam-2402	85	2	q	q	PROPN
ejpam-2402	85	3	w	w	PROPN
ejpam-2402	85	4	�	�	PROPN
ejpam-2402	85	5	�	�	PROPN
ejpam-2402	85	6	0	0	NUM
ejpam-2402	85	7	,	,	PUNCT
ejpam-2402	85	8	1	1	NUM
ejpam-2402	85	9	m	m	NOUN
ejpam-2402	85	10	,	,	PUNCT
ejpam-2402	85	11	.	.	PUNCT
ejpam-2402	85	12	.	.	PUNCT
ejpam-2402	86	1	.	.	PUNCT
ejpam-2402	87	1	,	,	PUNCT
ejpam-2402	87	2	j	j	PROPN
ejpam-2402	87	3	m	m	VERB
ejpam-2402	87	4	;	;	PUNCT
ejpam-2402	87	5	e	e	PROPN
ejpam-2402	87	6	j	j	PROPN
ejpam-2402	87	7	�	�	PROPN
ejpam-2402	87	8	w!/mw	w!/mw	PROPN
ejpam-2402	87	9	.	.	PUNCT
ejpam-2402	88	1	since	since	SCONJ
ejpam-2402	88	2	ek	ek	PROPN
ejpam-2402	88	3	,	,	PUNCT
ejpam-2402	88	4	e	e	PROPN
ejpam-2402	88	5	j	j	PROPN
ejpam-2402	88	6	are	be	AUX
ejpam-2402	88	7	convex	convex	NOUN
ejpam-2402	88	8	of	of	ADP
ejpam-2402	88	9	any	any	DET
ejpam-2402	88	10	order	order	NOUN
ejpam-2402	88	11	,	,	PUNCT
ejpam-2402	88	12	it	it	PRON
ejpam-2402	88	13	follows	follow	VERB
ejpam-2402	88	14	that	that	SCONJ
ejpam-2402	88	15	all	all	PRON
ejpam-2402	88	16	c	c	NOUN
ejpam-2402	88	17	p	p	NOUN
ejpam-2402	88	18	n	n	CCONJ
ejpam-2402	88	19	,	,	PUNCT
ejpam-2402	88	20	v	v	NOUN
ejpam-2402	88	21	,	,	PUNCT
ejpam-2402	88	22	k	k	PROPN
ejpam-2402	88	23	≥	≥	PROPN
ejpam-2402	88	24	0	0	NUM
ejpam-2402	88	25	,	,	PUNCT
ejpam-2402	88	26	c	c	PROPN
ejpam-2402	88	27	q	q	PROPN
ejpam-2402	88	28	n	n	CCONJ
ejpam-2402	88	29	,	,	PUNCT
ejpam-2402	88	30	w	w	PROPN
ejpam-2402	88	31	,	,	PUNCT
ejpam-2402	88	32	j	j	PROPN
ejpam-2402	88	33	≥	≥	NUM
ejpam-2402	88	34	0	0	NUM
ejpam-2402	88	35	and	and	CCONJ
ejpam-2402	88	36	taking	take	VERB
ejpam-2402	88	37	into	into	ADP
ejpam-2402	88	38	account	account	NOUN
ejpam-2402	88	39	that	that	SCONJ
ejpam-2402	88	40	bn	bn	X
ejpam-2402	88	41	,	,	PUNCT
ejpam-2402	88	42	p	p	X
ejpam-2402	88	43	(	(	PUNCT
ejpam-2402	88	44	f	f	PROPN
ejpam-2402	88	45	)	)	PUNCT
ejpam-2402	88	46	(	(	PUNCT
ejpam-2402	88	47	1	1	X
ejpam-2402	88	48	)	)	PUNCT
ejpam-2402	88	49	=	=	SYM
ejpam-2402	88	50	f	f	X
ejpam-2402	88	51	�	�	PROPN
ejpam-2402	88	52	(	(	PUNCT
ejpam-2402	88	53	n+	n+	NUM
ejpam-2402	89	1	p)/p	p)/p	PROPN
ejpam-2402	89	2	�	�	PROPN
ejpam-2402	89	3	,	,	PUNCT
ejpam-2402	89	4	bm	bm	PROPN
ejpam-2402	89	5	,	,	PUNCT
ejpam-2402	89	6	q	q	PROPN
ejpam-2402	89	7	(	(	PUNCT
ejpam-2402	89	8	f	f	NOUN
ejpam-2402	89	9	)	)	PUNCT
ejpam-2402	89	10	(	(	PUNCT
ejpam-2402	89	11	1	1	X
ejpam-2402	89	12	)	)	PUNCT
ejpam-2402	89	13	=	=	SYM
ejpam-2402	89	14	f	f	PROPN
ejpam-2402	89	15	�	�	PROPN
ejpam-2402	89	16	�	�	PROPN
ejpam-2402	89	17	m+	m+	NUM
ejpam-2402	89	18	q	q	PROPN
ejpam-2402	89	19	�	�	PROPN
ejpam-2402	89	20	/m	/m	PUNCT
ejpam-2402	89	21	�	�	PROPN
ejpam-2402	89	22	we	we	PRON
ejpam-2402	89	23	get	get	VERB
ejpam-2402	89	24	n+p	n+p	PUNCT
ejpam-2402	89	25	∑	∑	PUNCT
ejpam-2402	89	26	v=0	v=0	VERB
ejpam-2402	89	27	c	c	PROPN
ejpam-2402	89	28	p	p	PROPN
ejpam-2402	89	29	n	n	CCONJ
ejpam-2402	89	30	,	,	PUNCT
ejpam-2402	89	31	v	v	NOUN
ejpam-2402	89	32	,	,	PUNCT
ejpam-2402	89	33	k	k	PROPN
ejpam-2402	89	34	=	=	SYM
ejpam-2402	89	35	bn	bn	PROPN
ejpam-2402	89	36	,	,	PUNCT
ejpam-2402	89	37	p(e1)(1	p(e1)(1	NOUN
ejpam-2402	89	38	)	)	PUNCT
ejpam-2402	89	39	=	=	SYM
ejpam-2402	89	40	�	�	PROPN
ejpam-2402	89	41	n+	n+	NUM
ejpam-2402	89	42	p	p	PROPN
ejpam-2402	89	43	n	n	PROPN
ejpam-2402	89	44	�	�	PROPN
ejpam-2402	89	45	k	k	PROPN
ejpam-2402	89	46	,	,	PUNCT
ejpam-2402	89	47	m+q	m+q	VERB
ejpam-2402	89	48	∑	∑	PUNCT
ejpam-2402	89	49	w=0	w=0	PROPN
ejpam-2402	89	50	c	c	PROPN
ejpam-2402	89	51	q	q	PROPN
ejpam-2402	89	52	n	n	CCONJ
ejpam-2402	89	53	,	,	PUNCT
ejpam-2402	89	54	w	w	PROPN
ejpam-2402	89	55	,	,	PUNCT
ejpam-2402	89	56	j	j	PROPN
ejpam-2402	89	57	=	=	SYM
ejpam-2402	89	58	bn	bn	PROPN
ejpam-2402	89	59	,	,	PUNCT
ejpam-2402	89	60	p(e2)(1	p(e2)(1	PROPN
ejpam-2402	89	61	)	)	PUNCT
ejpam-2402	89	62	=	=	SYM
ejpam-2402	89	63	�	�	PROPN
ejpam-2402	89	64	m+	m+	NUM
ejpam-2402	89	65	q	q	PROPN
ejpam-2402	89	66	m	m	PROPN
ejpam-2402	89	67	�	�	PROPN
ejpam-2402	89	68	j	j	PROPN
ejpam-2402	89	69	.	.	PUNCT
ejpam-2402	90	1	(	(	PUNCT
ejpam-2402	90	2	3	3	X
ejpam-2402	90	3	)	)	PUNCT
ejpam-2402	90	4	using	use	VERB
ejpam-2402	90	5	the	the	DET
ejpam-2402	90	6	result	result	NOUN
ejpam-2402	90	7	in	in	ADP
ejpam-2402	90	8	the	the	DET
ejpam-2402	90	9	proof	proof	NOUN
ejpam-2402	90	10	of	of	ADP
ejpam-2402	90	11	theorem	theorem	ADJ
ejpam-2402	90	12	2.1	2.1	NUM
ejpam-2402	90	13	in	in	ADP
ejpam-2402	90	14	[	[	X
ejpam-2402	90	15	1	1	NUM
ejpam-2402	90	16	]	]	PUNCT
ejpam-2402	90	17	for	for	ADP
ejpam-2402	90	18	any	any	DET
ejpam-2402	90	19	�	�	PROPN
ejpam-2402	90	20	�	�	PROPN
ejpam-2402	90	21	z1	z1	PROPN
ejpam-2402	90	22	�	�	PROPN
ejpam-2402	90	23	�	�	PROPN
ejpam-2402	90	24	≤	≤	PROPN
ejpam-2402	90	25	r1	r1	NOUN
ejpam-2402	90	26	,	,	PUNCT
ejpam-2402	90	27	�	�	PROPN
ejpam-2402	90	28	�	�	PROPN
ejpam-2402	90	29	z2	z2	PROPN
ejpam-2402	90	30	�	�	PROPN
ejpam-2402	90	31	�	�	PROPN
ejpam-2402	90	32	≤	≤	PROPN
ejpam-2402	90	33	r2	r2	NOUN
ejpam-2402	90	34	with	with	ADP
ejpam-2402	90	35	1≤	1≤	PROPN
ejpam-2402	90	36	r1	r1	PROPN
ejpam-2402	90	37	≤	≤	NUM
ejpam-2402	90	38	(	(	PUNCT
ejpam-2402	90	39	p+	p+	NOUN
ejpam-2402	90	40	1)r1	1)r1	NUM
ejpam-2402	90	41	<	<	X
ejpam-2402	90	42	r1	r1	PROPN
ejpam-2402	90	43	,	,	PUNCT
ejpam-2402	90	44	1≤	1≤	NUM
ejpam-2402	90	45	r2	r2	PROPN
ejpam-2402	90	46	≤	≤	NUM
ejpam-2402	90	47	(	(	PUNCT
ejpam-2402	90	48	q+	q+	ADP
ejpam-2402	90	49	1)r2	1)r2	VERB
ejpam-2402	90	50	<	<	X
ejpam-2402	90	51	r2	r2	NOUN
ejpam-2402	90	52	,	,	PUNCT
ejpam-2402	90	53	directly	directly	ADV
ejpam-2402	90	54	we	we	PRON
ejpam-2402	90	55	can	can	AUX
ejpam-2402	90	56	write	write	VERB
ejpam-2402	90	57	a=	a=	PROPN
ejpam-2402	90	58	�	�	PROPN
ejpam-2402	90	59	�	�	PROPN
ejpam-2402	90	60	�	�	PROPN
ejpam-2402	90	61	bm	bm	PROPN
ejpam-2402	90	62	,	,	PUNCT
ejpam-2402	90	63	q(e	q(e	PROPN
ejpam-2402	90	64	j)(z2)−	j)(z2)−	PROPN
ejpam-2402	90	65	z	z	PROPN
ejpam-2402	90	66	j	j	PROPN
ejpam-2402	90	67	2	2	NUM
ejpam-2402	90	68	�	�	PROPN
ejpam-2402	90	69	�	�	PROPN
ejpam-2402	90	70	�	�	PROPN
ejpam-2402	90	71	≤	≤	PROPN
ejpam-2402	91	1	j	j	PROPN
ejpam-2402	91	2	�	�	PROPN
ejpam-2402	91	3	j	j	PROPN
ejpam-2402	91	4	−	−	PROPN
ejpam-2402	91	5	1	1	NUM
ejpam-2402	91	6	�	�	PROPN
ejpam-2402	91	7	�	�	PROPN
ejpam-2402	91	8	m+	m+	NUM
ejpam-2402	91	9	q	q	PROPN
ejpam-2402	91	10	�	�	PROPN
ejpam-2402	91	11	�	�	PROPN
ejpam-2402	91	12	�	�	PROPN
ejpam-2402	91	13	q+	q+	ADP
ejpam-2402	91	14	1	1	NUM
ejpam-2402	91	15	�	�	PROPN
ejpam-2402	91	16	r2	r2	PROPN
ejpam-2402	91	17	�	�	PROPN
ejpam-2402	91	18	j	j	PROPN
ejpam-2402	91	19	+	+	CCONJ
ejpam-2402	91	20	1	1	NUM
ejpam-2402	91	21	m	m	PROPN
ejpam-2402	91	22	�	�	NOUN
ejpam-2402	91	23	�	�	PROPN
ejpam-2402	91	24	q+	q+	ADP
ejpam-2402	91	25	1	1	NUM
ejpam-2402	91	26	�	�	PROPN
ejpam-2402	91	27	r2	r2	PROPN
ejpam-2402	91	28	�	�	PROPN
ejpam-2402	91	29	j	j	PROPN
ejpam-2402	92	1	−	−	PROPN
ejpam-2402	92	2	r	r	NOUN
ejpam-2402	92	3	j	j	PROPN
ejpam-2402	92	4	2	2	NUM
ejpam-2402	92	5	m	m	NOUN
ejpam-2402	92	6	and	and	CCONJ
ejpam-2402	92	7	b	b	X
ejpam-2402	92	8	=	=	SYM
ejpam-2402	92	9	�	�	PROPN
ejpam-2402	92	10	�	�	PROPN
ejpam-2402	92	11	bn	bn	PROPN
ejpam-2402	92	12	,	,	PUNCT
ejpam-2402	92	13	p(ek)(z1)−	p(ek)(z1)−	ADJ
ejpam-2402	92	14	ek(z1	ek(z1	NOUN
ejpam-2402	92	15	)	)	PUNCT
ejpam-2402	92	16	�	�	PROPN
ejpam-2402	92	17	�	�	PROPN
ejpam-2402	92	18	≤	≤	PROPN
ejpam-2402	92	19	k	k	PROPN
ejpam-2402	92	20	(	(	PUNCT
ejpam-2402	92	21	k−	k−	PROPN
ejpam-2402	92	22	1	1	NUM
ejpam-2402	92	23	)	)	PUNCT
ejpam-2402	92	24	�	�	PROPN
ejpam-2402	92	25	n+	n+	ADP
ejpam-2402	92	26	p	p	PROPN
ejpam-2402	92	27	�	�	PROPN
ejpam-2402	92	28	�	�	PROPN
ejpam-2402	92	29	�	�	PROPN
ejpam-2402	92	30	p+	p+	PART
ejpam-2402	92	31	1	1	NUM
ejpam-2402	92	32	�	�	PROPN
ejpam-2402	92	33	r1	r1	PROPN
ejpam-2402	92	34	�	�	PROPN
ejpam-2402	92	35	k	k	PROPN
ejpam-2402	92	36	+	+	PROPN
ejpam-2402	92	37	1	1	NUM
ejpam-2402	92	38	n	n	PRON
ejpam-2402	92	39	�	�	PROPN
ejpam-2402	92	40	�	�	PROPN
ejpam-2402	92	41	p+	p+	PART
ejpam-2402	92	42	1	1	NUM
ejpam-2402	92	43	�	�	PROPN
ejpam-2402	92	44	r1	r1	PROPN
ejpam-2402	92	45	�	�	PROPN
ejpam-2402	92	46	k	k	PROPN
ejpam-2402	92	47	−	−	PROPN
ejpam-2402	92	48	rk	rk	NOUN
ejpam-2402	92	49	1	1	NUM
ejpam-2402	92	50	n	n	NOUN
ejpam-2402	92	51	.	.	PUNCT
ejpam-2402	93	1	we	we	PRON
ejpam-2402	93	2	now	now	ADV
ejpam-2402	93	3	consider	consider	VERB
ejpam-2402	93	4	second	second	ADJ
ejpam-2402	93	5	case	case	NOUN
ejpam-2402	93	6	.	.	PUNCT
ejpam-2402	94	1	for	for	ADP
ejpam-2402	94	2	k	k	PROPN
ejpam-2402	94	3	>	>	X
ejpam-2402	94	4	n+	n+	PROPN
ejpam-2402	94	5	p	p	X
ejpam-2402	94	6	,	,	PUNCT
ejpam-2402	94	7	�	�	PROPN
ejpam-2402	94	8	�	�	PROPN
ejpam-2402	94	9	z1	z1	PROPN
ejpam-2402	94	10	�	�	PROPN
ejpam-2402	94	11	�	�	PROPN
ejpam-2402	94	12	≤	≤	PROPN
ejpam-2402	94	13	r1	r1	NOUN
ejpam-2402	94	14	with	with	ADP
ejpam-2402	94	15	1	1	NUM
ejpam-2402	94	16	≤	≤	NOUN
ejpam-2402	94	17	r1	r1	NOUN
ejpam-2402	94	18	≤	≤	NOUN
ejpam-2402	94	19	(	(	PUNCT
ejpam-2402	94	20	p	p	NOUN
ejpam-2402	94	21	+	+	NOUN
ejpam-2402	94	22	1)r1	1)r1	NUM
ejpam-2402	94	23	<	<	X
ejpam-2402	94	24	r1	r1	PROPN
ejpam-2402	94	25	and	and	CCONJ
ejpam-2402	94	26	for	for	ADP
ejpam-2402	94	27	j	j	PROPN
ejpam-2402	94	28	>	>	X
ejpam-2402	94	29	m+	m+	NUM
ejpam-2402	94	30	q	q	NOUN
ejpam-2402	94	31	,	,	PUNCT
ejpam-2402	94	32	�	�	PROPN
ejpam-2402	94	33	�	�	PROPN
ejpam-2402	94	34	z2	z2	PROPN
ejpam-2402	94	35	�	�	PROPN
ejpam-2402	94	36	�	�	PROPN
ejpam-2402	94	37	≤	≤	PROPN
ejpam-2402	94	38	r2	r2	NOUN
ejpam-2402	94	39	with	with	ADP
ejpam-2402	94	40	1≤	1≤	NUM
ejpam-2402	94	41	r2	r2	PROPN
ejpam-2402	94	42	≤	≤	NUM
ejpam-2402	94	43	(	(	PUNCT
ejpam-2402	94	44	q+	q+	ADP
ejpam-2402	94	45	1)r2	1)r2	VERB
ejpam-2402	94	46	<	<	X
ejpam-2402	94	47	r2	r2	NOUN
ejpam-2402	94	48	,	,	PUNCT
ejpam-2402	94	49	and	and	CCONJ
ejpam-2402	94	50	considering	consider	VERB
ejpam-2402	94	51	(	(	PUNCT
ejpam-2402	94	52	3	3	X
ejpam-2402	94	53	)	)	PUNCT
ejpam-2402	94	54	we	we	PRON
ejpam-2402	94	55	get	get	VERB
ejpam-2402	94	56	b	b	NOUN
ejpam-2402	94	57	=	=	SYM
ejpam-2402	94	58	�	�	PROPN
ejpam-2402	94	59	�	�	PROPN
ejpam-2402	94	60	bn	bn	PROPN
ejpam-2402	94	61	,	,	PUNCT
ejpam-2402	94	62	p(ek)(z1)−	p(ek)(z1)−	ADJ
ejpam-2402	94	63	ek(z1	ek(z1	NOUN
ejpam-2402	94	64	)	)	PUNCT
ejpam-2402	94	65	�	�	PROPN
ejpam-2402	94	66	�	�	PROPN
ejpam-2402	94	67	≤	≤	PROPN
ejpam-2402	94	68	�	�	PROPN
ejpam-2402	94	69	�	�	PROPN
ejpam-2402	94	70	bn	bn	PROPN
ejpam-2402	94	71	,	,	PUNCT
ejpam-2402	94	72	p(ek)(z1	p(ek)(z1	ADJ
ejpam-2402	94	73	)	)	PUNCT
ejpam-2402	94	74	�	�	PROPN
ejpam-2402	94	75	�	�	PROPN
ejpam-2402	94	76	+	+	NOUN
ejpam-2402	94	77	rk	rk	NOUN
ejpam-2402	94	78	1	1	NUM
ejpam-2402	94	79	≤	≤	PROPN
ejpam-2402	94	80	�	�	PROPN
ejpam-2402	94	81	n+	n+	ADP
ejpam-2402	95	1	p	p	PROPN
ejpam-2402	95	2	n	n	PROPN
ejpam-2402	95	3	�	�	PROPN
ejpam-2402	95	4	k	k	NOUN
ejpam-2402	95	5	r	r	NOUN
ejpam-2402	95	6	n+p	n+p	NUM
ejpam-2402	95	7	1	1	NUM
ejpam-2402	95	8	+	+	NUM
ejpam-2402	95	9	rk	rk	VERB
ejpam-2402	95	10	1	1	NUM
ejpam-2402	95	11	≤	≤	NUM
ejpam-2402	95	12	2	2	NUM
ejpam-2402	95	13	�	�	PROPN
ejpam-2402	95	14	�	�	PROPN
ejpam-2402	95	15	p+	p+	PART
ejpam-2402	95	16	1	1	NUM
ejpam-2402	95	17	�	�	PROPN
ejpam-2402	95	18	r1	r1	PROPN
ejpam-2402	95	19	�	�	PROPN
ejpam-2402	95	20	k	k	PROPN
ejpam-2402	95	21	≤	≤	ADV
ejpam-2402	95	22	2	2	NUM
ejpam-2402	95	23	(	(	PUNCT
ejpam-2402	95	24	k−	k−	NOUN
ejpam-2402	95	25	1	1	NUM
ejpam-2402	95	26	)	)	PUNCT
ejpam-2402	96	1	n+	n+	PUNCT
ejpam-2402	96	2	p	p	PROPN
ejpam-2402	96	3	�	�	PROPN
ejpam-2402	96	4	�	�	PROPN
ejpam-2402	96	5	p+	p+	PART
ejpam-2402	96	6	1	1	NUM
ejpam-2402	96	7	�	�	PROPN
ejpam-2402	96	8	r1	r1	PROPN
ejpam-2402	96	9	�	�	PROPN
ejpam-2402	96	10	k	k	PROPN
ejpam-2402	96	11	,	,	PUNCT
ejpam-2402	96	12	and	and	CCONJ
ejpam-2402	96	13	in	in	ADP
ejpam-2402	96	14	similar	similar	ADJ
ejpam-2402	96	15	way	way	NOUN
ejpam-2402	96	16	,	,	PUNCT
ejpam-2402	96	17	a=	a=	PROPN
ejpam-2402	96	18	�	�	PROPN
ejpam-2402	96	19	�	�	PROPN
ejpam-2402	96	20	bm	bm	PROPN
ejpam-2402	96	21	,	,	PUNCT
ejpam-2402	96	22	q(e	q(e	PROPN
ejpam-2402	96	23	j)(z2)−	j)(z2)−	PROPN
ejpam-2402	96	24	(	(	PUNCT
ejpam-2402	96	25	e	e	PROPN
ejpam-2402	96	26	j)(z2	j)(z2	PROPN
ejpam-2402	96	27	)	)	PUNCT
ejpam-2402	96	28	�	�	PROPN
ejpam-2402	96	29	�	�	PROPN
ejpam-2402	96	30	≤	≤	PROPN
ejpam-2402	96	31	2	2	NUM
ejpam-2402	96	32	(	(	PUNCT
ejpam-2402	96	33	j−1	j−1	PROPN
ejpam-2402	96	34	)	)	PUNCT
ejpam-2402	96	35	m+q	m+q	NUM
ejpam-2402	96	36	�	�	PROPN
ejpam-2402	96	37	�	�	PROPN
ejpam-2402	96	38	q+	q+	ADP
ejpam-2402	96	39	1	1	NUM
ejpam-2402	96	40	�	�	PROPN
ejpam-2402	96	41	r2	r2	PROPN
ejpam-2402	96	42	�	�	PROPN
ejpam-2402	96	43	j	j	PROPN
ejpam-2402	96	44	.	.	PUNCT
ejpam-2402	97	1	n.	n.	PROPN
ejpam-2402	97	2	i̇spir	i̇spir	PROPN
ejpam-2402	97	3	,	,	PUNCT
ejpam-2402	97	4	ş.	ş.	PROPN
ejpam-2402	97	5	güngör	güngör	PROPN
ejpam-2402	97	6	/	/	SYM
ejpam-2402	97	7	eur	eur	PROPN
ejpam-2402	97	8	.	.	PUNCT
ejpam-2402	98	1	j.	j.	PROPN
ejpam-2402	98	2	pure	pure	PROPN
ejpam-2402	98	3	appl	appl	PROPN
ejpam-2402	98	4	.	.	PROPN
ejpam-2402	98	5	math	math	PROPN
ejpam-2402	98	6	,	,	PUNCT
ejpam-2402	98	7	9	9	NUM
ejpam-2402	98	8	(	(	PUNCT
ejpam-2402	98	9	2016	2016	NUM
ejpam-2402	98	10	)	)	PUNCT
ejpam-2402	98	11	,	,	PUNCT
ejpam-2402	98	12	322	322	NUM
ejpam-2402	98	13	-	-	SYM
ejpam-2402	98	14	332	332	NUM
ejpam-2402	98	15	326	326	NUM
ejpam-2402	98	16	combining	combine	VERB
ejpam-2402	98	17	all	all	PRON
ejpam-2402	98	18	of	of	ADP
ejpam-2402	98	19	the	the	DET
ejpam-2402	98	20	results	result	NOUN
ejpam-2402	98	21	obtained	obtain	VERB
ejpam-2402	98	22	for	for	ADP
ejpam-2402	98	23	a	a	PRON
ejpam-2402	98	24	and	and	CCONJ
ejpam-2402	98	25	b	b	NOUN
ejpam-2402	98	26	,	,	PUNCT
ejpam-2402	98	27	we	we	PRON
ejpam-2402	98	28	have	have	VERB
ejpam-2402	98	29	the	the	DET
ejpam-2402	98	30	desired	desire	VERB
ejpam-2402	98	31	inequality	inequality	NOUN
ejpam-2402	98	32	.	.	PUNCT
ejpam-2402	99	1	(	(	PUNCT
ejpam-2402	99	2	ii	ii	NOUN
ejpam-2402	99	3	)	)	PUNCT
ejpam-2402	99	4	now	now	ADV
ejpam-2402	99	5	we	we	PRON
ejpam-2402	99	6	give	give	VERB
ejpam-2402	99	7	the	the	DET
ejpam-2402	99	8	rate	rate	NOUN
ejpam-2402	99	9	of	of	ADP
ejpam-2402	99	10	convergence	convergence	NOUN
ejpam-2402	99	11	in	in	ADP
ejpam-2402	99	12	simultaneous	simultaneous	ADJ
ejpam-2402	99	13	approximation	approximation	NOUN
ejpam-2402	99	14	.	.	PUNCT
ejpam-2402	100	1	let	let	VERB
ejpam-2402	101	1	1	1	NUM
ejpam-2402	101	2	≤	≤	NOUN
ejpam-2402	101	3	r1	r1	PROPN
ejpam-2402	101	4	<	<	X
ejpam-2402	101	5	r∗1	r∗1	PROPN
ejpam-2402	101	6	<	<	X
ejpam-2402	101	7	r1	r1	PROPN
ejpam-2402	101	8	2	2	NUM
ejpam-2402	101	9	,	,	PUNCT
ejpam-2402	101	10	1	1	NUM
ejpam-2402	101	11	≤	≤	NUM
ejpam-2402	101	12	r2	r2	PROPN
ejpam-2402	101	13	<	<	X
ejpam-2402	101	14	r∗2	r∗2	ADJ
ejpam-2402	101	15	<	<	X
ejpam-2402	101	16	r2	r2	PROPN
ejpam-2402	101	17	2	2	NUM
ejpam-2402	101	18	and	and	CCONJ
ejpam-2402	101	19	γ1	γ1	PROPN
ejpam-2402	101	20	=	=	SYM
ejpam-2402	101	21	�	�	PROPN
ejpam-2402	101	22	�	�	PROPN
ejpam-2402	101	23	u1	u1	PROPN
ejpam-2402	101	24	−	−	PROPN
ejpam-2402	101	25	z1	z1	PROPN
ejpam-2402	101	26	�	�	PROPN
ejpam-2402	101	27	�	�	PROPN
ejpam-2402	101	28	=	=	SYM
ejpam-2402	101	29	r∗1	r∗1	PROPN
ejpam-2402	101	30	,	,	PUNCT
ejpam-2402	101	31	γ2	γ2	PROPN
ejpam-2402	101	32	=	=	SYM
ejpam-2402	101	33	�	�	PROPN
ejpam-2402	101	34	�	�	PROPN
ejpam-2402	101	35	u2	u2	PROPN
ejpam-2402	101	36	−	−	PROPN
ejpam-2402	101	37	z2	z2	PROPN
ejpam-2402	101	38	�	�	PROPN
ejpam-2402	101	39	�	�	PROPN
ejpam-2402	101	40	=	=	PUNCT
ejpam-2402	101	41	r∗2	r∗2	ADJ
ejpam-2402	101	42	.	.	PUNCT
ejpam-2402	102	1	by	by	ADP
ejpam-2402	102	2	the	the	DET
ejpam-2402	102	3	cauchy	cauchy	PROPN
ejpam-2402	102	4	’s	’s	PART
ejpam-2402	102	5	formula	formula	NOUN
ejpam-2402	102	6	∂	∂	NUM
ejpam-2402	102	7	k1+k2	k1+k2	PROPN
ejpam-2402	102	8	bn	bn	PROPN
ejpam-2402	102	9	,	,	PUNCT
ejpam-2402	102	10	m	m	PROPN
ejpam-2402	102	11	,	,	PUNCT
ejpam-2402	102	12	p	p	X
ejpam-2402	102	13	,	,	PUNCT
ejpam-2402	102	14	q	q	X
ejpam-2402	102	15	(	(	PUNCT
ejpam-2402	102	16	f	f	PROPN
ejpam-2402	102	17	)	)	PUNCT
ejpam-2402	102	18	∂	∂	PUNCT
ejpam-2402	102	19	k1z1∂	k1z1∂	PROPN
ejpam-2402	102	20	k2z2	k2z2	PROPN
ejpam-2402	102	21	�	�	PROPN
ejpam-2402	102	22	z1	z1	PROPN
ejpam-2402	102	23	,	,	PUNCT
ejpam-2402	102	24	z2	z2	PROPN
ejpam-2402	102	25	�	�	PROPN
ejpam-2402	102	26	−	−	PROPN
ejpam-2402	102	27	∂	∂	NOUN
ejpam-2402	102	28	k1+k2	k1+k2	PROPN
ejpam-2402	102	29	f	f	PROPN
ejpam-2402	102	30	∂	∂	NOUN
ejpam-2402	102	31	k1z1∂	k1z1∂	PROPN
ejpam-2402	102	32	k2z2	k2z2	PROPN
ejpam-2402	102	33	�	�	PROPN
ejpam-2402	102	34	z1	z1	PROPN
ejpam-2402	102	35	,	,	PUNCT
ejpam-2402	102	36	z2	z2	PROPN
ejpam-2402	102	37	�	�	PROPN
ejpam-2402	102	38	=	=	SYM
ejpam-2402	102	39	k1!k2	k1!k2	PROPN
ejpam-2402	102	40	!	!	PUNCT
ejpam-2402	103	1	(	(	PUNCT
ejpam-2402	103	2	2πi)2	2πi)2	NUM
ejpam-2402	103	3	∫	∫	NOUN
ejpam-2402	103	4	γ2	γ2	PROPN
ejpam-2402	103	5	∫	∫	PROPN
ejpam-2402	103	6	γ1	γ1	PROPN
ejpam-2402	103	7	�	�	PROPN
ejpam-2402	103	8	bn	bn	PROPN
ejpam-2402	103	9	,	,	PUNCT
ejpam-2402	103	10	m	m	PROPN
ejpam-2402	103	11	,	,	PUNCT
ejpam-2402	103	12	p	p	X
ejpam-2402	103	13	,	,	PUNCT
ejpam-2402	103	14	q(u1,u2)−	q(u1,u2)−	PROPN
ejpam-2402	103	15	f	f	X
ejpam-2402	103	16	(	(	PUNCT
ejpam-2402	103	17	u1,u2	u1,u2	PROPN
ejpam-2402	103	18	)	)	PUNCT
ejpam-2402	103	19	�	�	PROPN
ejpam-2402	103	20	du1du2	du1du2	PROPN
ejpam-2402	103	21	�	�	PROPN
ejpam-2402	103	22	u1	u1	PROPN
ejpam-2402	103	23	−	−	PROPN
ejpam-2402	103	24	z1	z1	PROPN
ejpam-2402	103	25	�	�	PROPN
ejpam-2402	103	26	k1	k1	PROPN
ejpam-2402	103	27	+	+	PROPN
ejpam-2402	103	28	1	1	NUM
ejpam-2402	103	29	�	�	PROPN
ejpam-2402	103	30	u2	u2	PROPN
ejpam-2402	103	31	−	−	PROPN
ejpam-2402	103	32	z2	z2	PROPN
ejpam-2402	103	33	�	�	PROPN
ejpam-2402	103	34	k2	k2	PROPN
ejpam-2402	103	35	+	+	PROPN
ejpam-2402	103	36	1	1	NUM
ejpam-2402	103	37	passing	pass	VERB
ejpam-2402	103	38	to	to	ADP
ejpam-2402	103	39	absolute	absolute	ADJ
ejpam-2402	103	40	value	value	NOUN
ejpam-2402	103	41	with	with	ADP
ejpam-2402	103	42	�	�	PROPN
ejpam-2402	103	43	�	�	PROPN
ejpam-2402	103	44	z1	z1	PROPN
ejpam-2402	103	45	�	�	PROPN
ejpam-2402	103	46	�	�	PROPN
ejpam-2402	103	47	≤	≤	PROPN
ejpam-2402	103	48	r1	r1	NOUN
ejpam-2402	103	49	,	,	PUNCT
ejpam-2402	103	50	�	�	PROPN
ejpam-2402	103	51	�	�	PROPN
ejpam-2402	103	52	z2	z2	PROPN
ejpam-2402	103	53	�	�	PROPN
ejpam-2402	103	54	�	�	PROPN
ejpam-2402	103	55	≤	≤	NOUN
ejpam-2402	103	56	r2	r2	NOUN
ejpam-2402	103	57	and	and	CCONJ
ejpam-2402	103	58	taking	take	VERB
ejpam-2402	103	59	into	into	ADP
ejpam-2402	103	60	account	account	NOUN
ejpam-2402	103	61	that	that	SCONJ
ejpam-2402	103	62	�	�	PROPN
ejpam-2402	103	63	�	�	PROPN
ejpam-2402	103	64	u1	u1	PROPN
ejpam-2402	103	65	−	−	PROPN
ejpam-2402	103	66	z1	z1	PROPN
ejpam-2402	103	67	�	�	PROPN
ejpam-2402	103	68	�	�	PROPN
ejpam-2402	103	69	≥	≥	PROPN
ejpam-2402	103	70	r∗1	r∗1	PROPN
ejpam-2402	103	71	−	−	PROPN
ejpam-2402	103	72	r1	r1	PROPN
ejpam-2402	103	73	,	,	PUNCT
ejpam-2402	103	74	�	�	PROPN
ejpam-2402	103	75	�	�	PROPN
ejpam-2402	103	76	u2	u2	PROPN
ejpam-2402	103	77	−	−	PROPN
ejpam-2402	103	78	z2	z2	PROPN
ejpam-2402	103	79	�	�	PROPN
ejpam-2402	103	80	�	�	PROPN
ejpam-2402	103	81	≥	≥	NOUN
ejpam-2402	103	82	r∗2	r∗2	ADJ
ejpam-2402	103	83	−	−	PROPN
ejpam-2402	103	84	r2	r2	PROPN
ejpam-2402	103	85	,	,	PUNCT
ejpam-2402	103	86	by	by	ADP
ejpam-2402	103	87	applying	apply	VERB
ejpam-2402	103	88	the	the	DET
ejpam-2402	103	89	estimate	estimate	NOUN
ejpam-2402	103	90	in	in	ADP
ejpam-2402	103	91	(	(	PUNCT
ejpam-2402	103	92	i	i	NOUN
ejpam-2402	103	93	)	)	PUNCT
ejpam-2402	103	94	we	we	PRON
ejpam-2402	103	95	easily	easily	ADV
ejpam-2402	103	96	obtain	obtain	VERB
ejpam-2402	103	97	�	�	PROPN
ejpam-2402	103	98	�	�	PROPN
ejpam-2402	103	99	�	�	PROPN
ejpam-2402	103	100	�	�	PROPN
ejpam-2402	103	101	�	�	PROPN
ejpam-2402	103	102	∂	∂	NUM
ejpam-2402	103	103	k1+k2	k1+k2	PROPN
ejpam-2402	103	104	bn	bn	PROPN
ejpam-2402	103	105	,	,	PUNCT
ejpam-2402	103	106	m	m	PROPN
ejpam-2402	103	107	,	,	PUNCT
ejpam-2402	103	108	p	p	X
ejpam-2402	103	109	,	,	PUNCT
ejpam-2402	103	110	q	q	X
ejpam-2402	103	111	(	(	PUNCT
ejpam-2402	103	112	f	f	PROPN
ejpam-2402	103	113	)	)	PUNCT
ejpam-2402	103	114	∂	∂	PUNCT
ejpam-2402	104	1	k1z1∂	k1z1∂	PROPN
ejpam-2402	104	2	k2z2	k2z2	PROPN
ejpam-2402	104	3	�	�	PROPN
ejpam-2402	104	4	z1	z1	PROPN
ejpam-2402	104	5	,	,	PUNCT
ejpam-2402	104	6	z2	z2	PROPN
ejpam-2402	104	7	�	�	PROPN
ejpam-2402	104	8	−	−	PROPN
ejpam-2402	104	9	∂	∂	NOUN
ejpam-2402	104	10	k1+k2	k1+k2	PROPN
ejpam-2402	104	11	f	f	PROPN
ejpam-2402	104	12	∂	∂	NOUN
ejpam-2402	104	13	k1z1∂	k1z1∂	PROPN
ejpam-2402	104	14	k2z2	k2z2	PROPN
ejpam-2402	104	15	�	�	PROPN
ejpam-2402	104	16	z1	z1	PROPN
ejpam-2402	104	17	,	,	PUNCT
ejpam-2402	104	18	z2	z2	PROPN
ejpam-2402	104	19	�	�	PROPN
ejpam-2402	104	20	�	�	PROPN
ejpam-2402	104	21	�	�	PROPN
ejpam-2402	104	22	�	�	PROPN
ejpam-2402	104	23	�	�	PROPN
ejpam-2402	104	24	�	�	PROPN
ejpam-2402	104	25	≤	≤	PROPN
ejpam-2402	104	26	m	m	VERB
ejpam-2402	104	27	p	p	NOUN
ejpam-2402	104	28	,	,	PUNCT
ejpam-2402	104	29	q	q	PROPN
ejpam-2402	104	30	r∗	r∗	PROPN
ejpam-2402	104	31	1	1	NUM
ejpam-2402	104	32	,	,	PUNCT
ejpam-2402	104	33	r∗	r∗	VERB
ejpam-2402	104	34	2,n	2,n	NOUN
ejpam-2402	104	35	,	,	PUNCT
ejpam-2402	104	36	m	m	PROPN
ejpam-2402	104	37	(	(	PUNCT
ejpam-2402	104	38	f	f	PROPN
ejpam-2402	104	39	)	)	PUNCT
ejpam-2402	104	40	.	.	PUNCT
ejpam-2402	105	1	k1	k1	PROPN
ejpam-2402	105	2	!	!	PUNCT
ejpam-2402	106	1	�	�	PROPN
ejpam-2402	106	2	r∗	r∗	VERB
ejpam-2402	106	3	1	1	NUM
ejpam-2402	106	4	−	−	PROPN
ejpam-2402	106	5	r1	r1	PROPN
ejpam-2402	106	6	�	�	PROPN
ejpam-2402	106	7	k1	k1	PROPN
ejpam-2402	106	8	+	+	PROPN
ejpam-2402	106	9	1	1	NUM
ejpam-2402	106	10	k2	k2	NOUN
ejpam-2402	106	11	!	!	PUNCT
ejpam-2402	107	1	�	�	PROPN
ejpam-2402	107	2	r∗	r∗	VERB
ejpam-2402	107	3	2	2	NUM
ejpam-2402	107	4	−	−	PROPN
ejpam-2402	107	5	r2	r2	PROPN
ejpam-2402	107	6	�	�	PROPN
ejpam-2402	107	7	k2	k2	PROPN
ejpam-2402	107	8	+	+	PROPN
ejpam-2402	107	9	1	1	NUM
ejpam-2402	107	10	which	which	PRON
ejpam-2402	107	11	proves	prove	VERB
ejpam-2402	107	12	the	the	DET
ejpam-2402	107	13	theorem	theorem	NOUN
ejpam-2402	107	14	.	.	PUNCT
ejpam-2402	108	1	in	in	ADP
ejpam-2402	108	2	what	what	PRON
ejpam-2402	108	3	follows	follow	VERB
ejpam-2402	108	4	a	a	DET
ejpam-2402	108	5	voronovskaja	voronovskaja	NOUN
ejpam-2402	108	6	’s	’s	PART
ejpam-2402	108	7	result	result	NOUN
ejpam-2402	108	8	for	for	ADP
ejpam-2402	108	9	bn	bn	PROPN
ejpam-2402	108	10	,	,	PUNCT
ejpam-2402	108	11	m	m	PROPN
ejpam-2402	108	12	,	,	PUNCT
ejpam-2402	108	13	p	p	X
ejpam-2402	108	14	,	,	PUNCT
ejpam-2402	108	15	q	q	X
ejpam-2402	108	16	(	(	PUNCT
ejpam-2402	108	17	f	f	PROPN
ejpam-2402	108	18	)	)	PUNCT
ejpam-2402	108	19	is	be	AUX
ejpam-2402	108	20	presented	present	VERB
ejpam-2402	108	21	.	.	PUNCT
ejpam-2402	109	1	it	it	PRON
ejpam-2402	109	2	will	will	AUX
ejpam-2402	109	3	be	be	AUX
ejpam-2402	109	4	the	the	DET
ejpam-2402	109	5	product	product	NOUN
ejpam-2402	109	6	of	of	ADP
ejpam-2402	109	7	the	the	DET
ejpam-2402	109	8	parametric	parametric	ADJ
ejpam-2402	109	9	extensions	extension	NOUN
ejpam-2402	109	10	generated	generate	VERB
ejpam-2402	109	11	by	by	ADP
ejpam-2402	109	12	the	the	DET
ejpam-2402	109	13	voronovskaja	voronovskaja	PROPN
ejpam-2402	109	14	’s	’s	PART
ejpam-2402	109	15	formula	formula	NOUN
ejpam-2402	109	16	in	in	ADP
ejpam-2402	109	17	univariate	univariate	ADJ
ejpam-2402	109	18	case	case	NOUN
ejpam-2402	109	19	in	in	ADP
ejpam-2402	109	20	theorem	theorem	NOUN
ejpam-2402	109	21	2.2	2.2	NUM
ejpam-2402	109	22	in	in	ADP
ejpam-2402	109	23	[	[	X
ejpam-2402	109	24	1	1	NUM
ejpam-2402	109	25	]	]	PUNCT
ejpam-2402	109	26	.	.	PUNCT
ejpam-2402	110	1	indeed	indeed	ADV
ejpam-2402	110	2	,	,	PUNCT
ejpam-2402	110	3	for	for	ADP
ejpam-2402	110	4	f	f	PROPN
ejpam-2402	110	5	(	(	PUNCT
ejpam-2402	110	6	z1	z1	PROPN
ejpam-2402	110	7	,	,	PUNCT
ejpam-2402	110	8	z2	z2	PROPN
ejpam-2402	110	9	)	)	PUNCT
ejpam-2402	110	10	defining	define	VERB
ejpam-2402	110	11	the	the	DET
ejpam-2402	110	12	parametric	parametric	ADJ
ejpam-2402	110	13	extensions	extension	NOUN
ejpam-2402	110	14	of	of	ADP
ejpam-2402	110	15	the	the	DET
ejpam-2402	110	16	voronovskaja	voronovskaja	NOUN
ejpam-2402	110	17	’s	’s	PART
ejpam-2402	110	18	formula	formula	NOUN
ejpam-2402	110	19	by	by	ADP
ejpam-2402	110	20	z1	z1	PROPN
ejpam-2402	110	21	ln	ln	PROPN
ejpam-2402	110	22	(	(	PUNCT
ejpam-2402	110	23	f	f	PROPN
ejpam-2402	110	24	)	)	PUNCT
ejpam-2402	110	25	(	(	PUNCT
ejpam-2402	110	26	z1	z1	PROPN
ejpam-2402	110	27	,	,	PUNCT
ejpam-2402	110	28	z2	z2	PROPN
ejpam-2402	110	29	)	)	PUNCT
ejpam-2402	110	30	:	:	PUNCT
ejpam-2402	110	31	=	=	NOUN
ejpam-2402	110	32	bn	bn	PROPN
ejpam-2402	110	33	,	,	PUNCT
ejpam-2402	110	34	p	p	PROPN
ejpam-2402	110	35	�	�	PROPN
ejpam-2402	110	36	f	f	PROPN
ejpam-2402	110	37	(	(	PUNCT
ejpam-2402	110	38	.	.	PUNCT
ejpam-2402	110	39	,	,	PUNCT
ejpam-2402	110	40	z2	z2	PROPN
ejpam-2402	110	41	)	)	PUNCT
ejpam-2402	110	42	�	�	PROPN
ejpam-2402	110	43	(	(	PUNCT
ejpam-2402	110	44	z1)−	z1)−	PROPN
ejpam-2402	110	45	f	f	PROPN
ejpam-2402	110	46	(	(	PUNCT
ejpam-2402	110	47	z1	z1	PROPN
ejpam-2402	110	48	,	,	PUNCT
ejpam-2402	110	49	z2)−	z2)−	PROPN
ejpam-2402	110	50	p	p	NOUN
ejpam-2402	110	51	n	n	X
ejpam-2402	110	52	z1	z1	PROPN
ejpam-2402	110	53	∂	∂	NUM
ejpam-2402	110	54	f	f	PROPN
ejpam-2402	110	55	∂	∂	NUM
ejpam-2402	110	56	z1	z1	PROPN
ejpam-2402	110	57	�	�	PROPN
ejpam-2402	110	58	z1	z1	PROPN
ejpam-2402	110	59	,	,	PUNCT
ejpam-2402	110	60	z2	z2	PROPN
ejpam-2402	110	61	�	�	PROPN
ejpam-2402	110	62	−	−	PROPN
ejpam-2402	110	63	z1(1−	z1(1−	X
ejpam-2402	110	64	z1	z1	PROPN
ejpam-2402	110	65	)	)	PUNCT
ejpam-2402	110	66	2n	2n	NUM
ejpam-2402	110	67	∂	∂	NUM
ejpam-2402	110	68	2	2	NUM
ejpam-2402	110	69	f	f	NOUN
ejpam-2402	110	70	∂	∂	NOUN
ejpam-2402	110	71	z2	z2	PROPN
ejpam-2402	110	72	1	1	NUM
ejpam-2402	110	73	(	(	PUNCT
ejpam-2402	110	74	z1	z1	PROPN
ejpam-2402	110	75	,	,	PUNCT
ejpam-2402	110	76	z2	z2	PROPN
ejpam-2402	110	77	)	)	PUNCT
ejpam-2402	110	78	,	,	PUNCT
ejpam-2402	110	79	z2	z2	PROPN
ejpam-2402	110	80	lm	lm	PROPN
ejpam-2402	110	81	(	(	PUNCT
ejpam-2402	110	82	f	f	PROPN
ejpam-2402	110	83	)	)	PUNCT
ejpam-2402	110	84	(	(	PUNCT
ejpam-2402	110	85	z1	z1	PROPN
ejpam-2402	110	86	,	,	PUNCT
ejpam-2402	110	87	z2	z2	PROPN
ejpam-2402	110	88	)	)	PUNCT
ejpam-2402	110	89	:	:	PUNCT
ejpam-2402	110	90	=	=	SYM
ejpam-2402	110	91	bm	bm	PROPN
ejpam-2402	110	92	,	,	PUNCT
ejpam-2402	110	93	q	q	PROPN
ejpam-2402	110	94	�	�	PROPN
ejpam-2402	110	95	f	f	PROPN
ejpam-2402	110	96	(	(	PUNCT
ejpam-2402	110	97	z1	z1	PROPN
ejpam-2402	110	98	,	,	PUNCT
ejpam-2402	110	99	.	.	PUNCT
ejpam-2402	110	100	)	)	PUNCT
ejpam-2402	110	101	�	�	PROPN
ejpam-2402	110	102	(	(	PUNCT
ejpam-2402	110	103	z2)−	z2)−	PROPN
ejpam-2402	110	104	f	f	X
ejpam-2402	110	105	(	(	PUNCT
ejpam-2402	110	106	z1	z1	PROPN
ejpam-2402	110	107	,	,	PUNCT
ejpam-2402	110	108	z2)−	z2)−	PRON
ejpam-2402	110	109	q	q	PROPN
ejpam-2402	110	110	m	m	PROPN
ejpam-2402	110	111	z2	z2	PROPN
ejpam-2402	110	112	∂	∂	NUM
ejpam-2402	110	113	f	f	PROPN
ejpam-2402	110	114	∂	∂	PROPN
ejpam-2402	110	115	z2	z2	PROPN
ejpam-2402	110	116	�	�	PROPN
ejpam-2402	110	117	z1	z1	PROPN
ejpam-2402	110	118	,	,	PUNCT
ejpam-2402	110	119	z2	z2	PROPN
ejpam-2402	110	120	�	�	PROPN
ejpam-2402	110	121	−	−	PROPN
ejpam-2402	110	122	z2(1−	z2(1−	PROPN
ejpam-2402	110	123	z2	z2	PROPN
ejpam-2402	110	124	)	)	PUNCT
ejpam-2402	110	125	2	2	NUM
ejpam-2402	110	126	m	m	NOUN
ejpam-2402	110	127	∂	∂	NUM
ejpam-2402	110	128	2	2	NUM
ejpam-2402	110	129	f	f	NOUN
ejpam-2402	110	130	∂	∂	NOUN
ejpam-2402	110	131	z2	z2	PROPN
ejpam-2402	110	132	2	2	NUM
ejpam-2402	110	133	(	(	PUNCT
ejpam-2402	110	134	z1	z1	PROPN
ejpam-2402	110	135	,	,	PUNCT
ejpam-2402	110	136	z2	z2	PROPN
ejpam-2402	110	137	)	)	PUNCT
ejpam-2402	110	138	,	,	PUNCT
ejpam-2402	110	139	their	their	PRON
ejpam-2402	110	140	product	product	NOUN
ejpam-2402	110	141	(	(	PUNCT
ejpam-2402	110	142	composition	composition	NOUN
ejpam-2402	110	143	)	)	PUNCT
ejpam-2402	110	144	gives	give	VERB
ejpam-2402	110	145	z2	z2	PROPN
ejpam-2402	110	146	lm	lm	PROPN
ejpam-2402	110	147	(	(	PUNCT
ejpam-2402	110	148	f	f	PROPN
ejpam-2402	110	149	)	)	PUNCT
ejpam-2402	110	150	(	(	PUNCT
ejpam-2402	110	151	z1	z1	PROPN
ejpam-2402	110	152	,	,	PUNCT
ejpam-2402	110	153	z2)oz1	z2)oz1	X
ejpam-2402	110	154	ln	ln	X
ejpam-2402	110	155	(	(	PUNCT
ejpam-2402	110	156	f	f	PROPN
ejpam-2402	110	157	)	)	PUNCT
ejpam-2402	110	158	(	(	PUNCT
ejpam-2402	110	159	z1	z1	PROPN
ejpam-2402	110	160	,	,	PUNCT
ejpam-2402	110	161	z2	z2	PROPN
ejpam-2402	110	162	)	)	PUNCT
ejpam-2402	110	163	=	=	SYM
ejpam-2402	110	164	bm	bm	PROPN
ejpam-2402	110	165	,	,	PUNCT
ejpam-2402	110	166	q	q	PROPN
ejpam-2402	110	167	�	�	PROPN
ejpam-2402	110	168	bn	bn	PROPN
ejpam-2402	110	169	,	,	PUNCT
ejpam-2402	110	170	p	p	PROPN
ejpam-2402	110	171	�	�	PROPN
ejpam-2402	110	172	f	f	PROPN
ejpam-2402	110	173	(	(	PUNCT
ejpam-2402	110	174	.	.	PUNCT
ejpam-2402	110	175	,	,	PUNCT
ejpam-2402	110	176	.	.	PUNCT
ejpam-2402	110	177	)	)	PUNCT
ejpam-2402	111	1	�	�	PROPN
ejpam-2402	111	2	(	(	PUNCT
ejpam-2402	111	3	z1)−	z1)−	PROPN
ejpam-2402	111	4	f	f	PROPN
ejpam-2402	111	5	(	(	PUNCT
ejpam-2402	111	6	z1	z1	PROPN
ejpam-2402	111	7	,	,	PUNCT
ejpam-2402	111	8	.)−	.)−	PROPN
ejpam-2402	111	9	p	p	PROPN
ejpam-2402	111	10	n	n	X
ejpam-2402	111	11	z1	z1	PROPN
ejpam-2402	111	12	∂	∂	NUM
ejpam-2402	111	13	f	f	PROPN
ejpam-2402	111	14	∂	∂	NUM
ejpam-2402	111	15	z1	z1	PROPN
ejpam-2402	111	16	�	�	PROPN
ejpam-2402	111	17	z1	z1	PROPN
ejpam-2402	111	18	,	,	PUNCT
ejpam-2402	111	19	.	.	PUNCT
ejpam-2402	112	1	�	�	PROPN
ejpam-2402	112	2	−	−	PROPN
ejpam-2402	112	3	z1(1−	z1(1−	X
ejpam-2402	112	4	z1	z1	PROPN
ejpam-2402	112	5	)	)	PUNCT
ejpam-2402	112	6	2n	2n	NUM
ejpam-2402	112	7	∂	∂	NUM
ejpam-2402	112	8	2	2	NUM
ejpam-2402	112	9	f	f	NOUN
ejpam-2402	112	10	∂	∂	NOUN
ejpam-2402	112	11	z2	z2	PROPN
ejpam-2402	112	12	1	1	NUM
ejpam-2402	112	13	(	(	PUNCT
ejpam-2402	112	14	z1	z1	PROPN
ejpam-2402	112	15	,	,	PUNCT
ejpam-2402	112	16	.	.	PUNCT
ejpam-2402	112	17	)	)	PUNCT
ejpam-2402	112	18	�	�	PROPN
ejpam-2402	112	19	�	�	PROPN
ejpam-2402	112	20	z2	z2	PROPN
ejpam-2402	112	21	�	�	PROPN
ejpam-2402	112	22	−	−	PROPN
ejpam-2402	112	23	�	�	PROPN
ejpam-2402	112	24	bn	bn	PROPN
ejpam-2402	112	25	,	,	PUNCT
ejpam-2402	112	26	p	p	PROPN
ejpam-2402	112	27	�	�	PROPN
ejpam-2402	112	28	f	f	PROPN
ejpam-2402	112	29	(	(	PUNCT
ejpam-2402	112	30	.	.	PUNCT
ejpam-2402	112	31	,	,	PUNCT
ejpam-2402	112	32	z2	z2	PROPN
ejpam-2402	112	33	)	)	PUNCT
ejpam-2402	112	34	�	�	PROPN
ejpam-2402	112	35	(	(	PUNCT
ejpam-2402	112	36	z1)−	z1)−	PROPN
ejpam-2402	112	37	f	f	PROPN
ejpam-2402	112	38	(	(	PUNCT
ejpam-2402	112	39	z1	z1	PROPN
ejpam-2402	112	40	,	,	PUNCT
ejpam-2402	112	41	z2)−	z2)−	PROPN
ejpam-2402	112	42	p	p	NOUN
ejpam-2402	112	43	n	n	X
ejpam-2402	112	44	z1	z1	PROPN
ejpam-2402	112	45	∂	∂	NUM
ejpam-2402	112	46	f	f	PROPN
ejpam-2402	112	47	∂	∂	NUM
ejpam-2402	112	48	z1	z1	PROPN
ejpam-2402	112	49	�	�	PROPN
ejpam-2402	112	50	z1	z1	PROPN
ejpam-2402	112	51	,	,	PUNCT
ejpam-2402	112	52	z2	z2	PROPN
ejpam-2402	112	53	�	�	PROPN
ejpam-2402	112	54	−	−	PROPN
ejpam-2402	112	55	z1(1−	z1(1−	X
ejpam-2402	112	56	z1	z1	PROPN
ejpam-2402	112	57	)	)	PUNCT
ejpam-2402	112	58	2n	2n	NUM
ejpam-2402	112	59	∂	∂	NUM
ejpam-2402	112	60	2	2	NUM
ejpam-2402	112	61	f	f	NOUN
ejpam-2402	112	62	∂	∂	NOUN
ejpam-2402	112	63	z2	z2	PROPN
ejpam-2402	112	64	1	1	NUM
ejpam-2402	112	65	(	(	PUNCT
ejpam-2402	112	66	z1	z1	PROPN
ejpam-2402	112	67	,	,	PUNCT
ejpam-2402	112	68	z2	z2	PROPN
ejpam-2402	112	69	)	)	PUNCT
ejpam-2402	112	70	�	�	PROPN
ejpam-2402	112	71	−	−	PROPN
ejpam-2402	112	72	q	q	PROPN
ejpam-2402	112	73	m	m	PROPN
ejpam-2402	112	74	z2	z2	PROPN
ejpam-2402	112	75	�	�	PROPN
ejpam-2402	112	76	bn	bn	PROPN
ejpam-2402	112	77	,	,	PUNCT
ejpam-2402	112	78	p	p	PROPN
ejpam-2402	112	79	�	�	PROPN
ejpam-2402	112	80	∂	∂	PROPN
ejpam-2402	112	81	f	f	PROPN
ejpam-2402	112	82	∂	∂	PROPN
ejpam-2402	112	83	z2	z2	PROPN
ejpam-2402	112	84	(	(	PUNCT
ejpam-2402	112	85	.	.	NUM
ejpam-2402	112	86	,	,	PUNCT
ejpam-2402	112	87	z2	z2	PROPN
ejpam-2402	112	88	)	)	PUNCT
ejpam-2402	112	89	�	�	PROPN
ejpam-2402	112	90	(	(	PUNCT
ejpam-2402	112	91	z1)−	z1)−	PROPN
ejpam-2402	112	92	∂	∂	PROPN
ejpam-2402	112	93	f	f	PROPN
ejpam-2402	112	94	∂	∂	PROPN
ejpam-2402	112	95	z2	z2	PROPN
ejpam-2402	112	96	(	(	PUNCT
ejpam-2402	112	97	z1	z1	PROPN
ejpam-2402	112	98	,	,	PUNCT
ejpam-2402	112	99	z2	z2	NUM
ejpam-2402	112	100	)	)	PUNCT
ejpam-2402	112	101	−	−	PROPN
ejpam-2402	112	102	p	p	NOUN
ejpam-2402	112	103	n	n	X
ejpam-2402	112	104	z1	z1	PROPN
ejpam-2402	112	105	∂	∂	NUM
ejpam-2402	112	106	f	f	PROPN
ejpam-2402	112	107	∂	∂	NUM
ejpam-2402	112	108	z1	z1	PROPN
ejpam-2402	112	109	�	�	PROPN
ejpam-2402	112	110	∂	∂	PROPN
ejpam-2402	112	111	f	f	PROPN
ejpam-2402	112	112	∂	∂	PROPN
ejpam-2402	112	113	z2	z2	PROPN
ejpam-2402	112	114	�	�	PROPN
ejpam-2402	112	115	�	�	PROPN
ejpam-2402	112	116	z1	z1	PROPN
ejpam-2402	112	117	,	,	PUNCT
ejpam-2402	112	118	z2	z2	PROPN
ejpam-2402	112	119	�	�	PROPN
ejpam-2402	112	120	−	−	PROPN
ejpam-2402	112	121	z1(1−	z1(1−	X
ejpam-2402	112	122	z1	z1	PROPN
ejpam-2402	112	123	)	)	PUNCT
ejpam-2402	112	124	2n	2n	NUM
ejpam-2402	112	125	∂	∂	NUM
ejpam-2402	112	126	2	2	NUM
ejpam-2402	112	127	f	f	NOUN
ejpam-2402	112	128	∂	∂	NOUN
ejpam-2402	112	129	z2	z2	PROPN
ejpam-2402	112	130	1	1	NUM
ejpam-2402	112	131	�	�	PROPN
ejpam-2402	112	132	∂	∂	PROPN
ejpam-2402	112	133	f	f	PROPN
ejpam-2402	112	134	∂	∂	PROPN
ejpam-2402	112	135	z2	z2	PROPN
ejpam-2402	112	136	�	�	PROPN
ejpam-2402	112	137	�	�	PROPN
ejpam-2402	112	138	z1	z1	PROPN
ejpam-2402	112	139	,	,	PUNCT
ejpam-2402	112	140	z2	z2	PROPN
ejpam-2402	112	141	�	�	PROPN
ejpam-2402	112	142	�	�	PROPN
ejpam-2402	112	143	−	−	PROPN
ejpam-2402	112	144	z2(1−	z2(1−	PROPN
ejpam-2402	112	145	z2	z2	PROPN
ejpam-2402	112	146	)	)	PUNCT
ejpam-2402	112	147	2	2	NUM
ejpam-2402	112	148	m	m	NOUN
ejpam-2402	112	149	.	.	PUNCT
ejpam-2402	113	1	�	�	PROPN
ejpam-2402	113	2	bn	bn	PROPN
ejpam-2402	113	3	,	,	PUNCT
ejpam-2402	113	4	p	p	PROPN
ejpam-2402	113	5	�	�	PROPN
ejpam-2402	113	6	∂	∂	NUM
ejpam-2402	113	7	2	2	NUM
ejpam-2402	113	8	f	f	NOUN
ejpam-2402	113	9	∂	∂	NOUN
ejpam-2402	113	10	z2	z2	NOUN
ejpam-2402	113	11	2	2	NUM
ejpam-2402	113	12	(	(	PUNCT
ejpam-2402	113	13	.	.	PUNCT
ejpam-2402	113	14	,	,	PUNCT
ejpam-2402	113	15	z2	z2	PROPN
ejpam-2402	113	16	)	)	PUNCT
ejpam-2402	113	17	�	�	PROPN
ejpam-2402	113	18	(	(	PUNCT
ejpam-2402	113	19	z1)−	z1)−	PROPN
ejpam-2402	113	20	∂	∂	NUM
ejpam-2402	113	21	2	2	NUM
ejpam-2402	113	22	f	f	NOUN
ejpam-2402	113	23	∂	∂	NOUN
ejpam-2402	113	24	z2	z2	PROPN
ejpam-2402	113	25	2	2	NUM
ejpam-2402	113	26	(	(	PUNCT
ejpam-2402	113	27	z1	z1	NOUN
ejpam-2402	113	28	,	,	PUNCT
ejpam-2402	113	29	z2)−	z2)−	PROPN
ejpam-2402	113	30	−	−	PROPN
ejpam-2402	113	31	p	p	NOUN
ejpam-2402	113	32	n	n	X
ejpam-2402	113	33	z1	z1	PROPN
ejpam-2402	113	34	∂	∂	NUM
ejpam-2402	113	35	f	f	PROPN
ejpam-2402	113	36	∂	∂	NUM
ejpam-2402	113	37	z1	z1	PROPN
ejpam-2402	113	38	�	�	PROPN
ejpam-2402	113	39	∂	∂	NUM
ejpam-2402	113	40	2	2	NUM
ejpam-2402	113	41	f	f	PROPN
ejpam-2402	113	42	∂	∂	NOUN
ejpam-2402	113	43	z2	z2	PROPN
ejpam-2402	113	44	2	2	NUM
ejpam-2402	113	45	�	�	PROPN
ejpam-2402	113	46	�	�	PROPN
ejpam-2402	113	47	z1	z1	PROPN
ejpam-2402	113	48	,	,	PUNCT
ejpam-2402	113	49	z2	z2	PROPN
ejpam-2402	113	50	�	�	PROPN
ejpam-2402	113	51	−	−	PROPN
ejpam-2402	113	52	z1(1−	z1(1−	X
ejpam-2402	113	53	z1	z1	PROPN
ejpam-2402	113	54	)	)	PUNCT
ejpam-2402	113	55	2n	2n	NUM
ejpam-2402	113	56	∂	∂	NUM
ejpam-2402	113	57	2	2	NUM
ejpam-2402	113	58	∂	∂	NUM
ejpam-2402	113	59	z2	z2	NUM
ejpam-2402	113	60	1	1	NUM
ejpam-2402	113	61	�	�	PROPN
ejpam-2402	113	62	∂	∂	NUM
ejpam-2402	113	63	2	2	NUM
ejpam-2402	113	64	f	f	PROPN
ejpam-2402	113	65	∂	∂	NOUN
ejpam-2402	113	66	z2	z2	PROPN
ejpam-2402	113	67	2	2	NUM
ejpam-2402	113	68	�	�	PROPN
ejpam-2402	113	69	(	(	PUNCT
ejpam-2402	113	70	z1	z1	PROPN
ejpam-2402	113	71	,	,	PUNCT
ejpam-2402	113	72	z2	z2	PROPN
ejpam-2402	113	73	)	)	PUNCT
ejpam-2402	113	74	�	�	PROPN
ejpam-2402	113	75	n.	n.	PROPN
ejpam-2402	113	76	i̇spir	i̇spir	PROPN
ejpam-2402	113	77	,	,	PUNCT
ejpam-2402	113	78	ş.	ş.	ADP
ejpam-2402	113	79	güngör	güngör	PROPN
ejpam-2402	113	80	/	/	SYM
ejpam-2402	113	81	eur	eur	PROPN
ejpam-2402	113	82	.	.	PUNCT
ejpam-2402	114	1	j.	j.	PROPN
ejpam-2402	114	2	pure	pure	PROPN
ejpam-2402	114	3	appl	appl	PROPN
ejpam-2402	114	4	.	.	PROPN
ejpam-2402	114	5	math	math	PROPN
ejpam-2402	114	6	,	,	PUNCT
ejpam-2402	114	7	9	9	NUM
ejpam-2402	114	8	(	(	PUNCT
ejpam-2402	114	9	2016	2016	NUM
ejpam-2402	114	10	)	)	PUNCT
ejpam-2402	114	11	,	,	PUNCT
ejpam-2402	114	12	322	322	NUM
ejpam-2402	114	13	-	-	SYM
ejpam-2402	114	14	332	332	NUM
ejpam-2402	114	15	327	327	NUM
ejpam-2402	114	16	:	:	PUNCT
ejpam-2402	114	17	=	=	VERB
ejpam-2402	114	18	e1	e1	PROPN
ejpam-2402	114	19	−	−	PROPN
ejpam-2402	114	20	e2	e2	PROPN
ejpam-2402	114	21	−	−	PROPN
ejpam-2402	114	22	e3	e3	NOUN
ejpam-2402	114	23	−	−	PROPN
ejpam-2402	114	24	e4	e4	PROPN
ejpam-2402	114	25	.	.	PUNCT
ejpam-2402	115	1	after	after	ADP
ejpam-2402	115	2	simple	simple	ADJ
ejpam-2402	115	3	calculation	calculation	NOUN
ejpam-2402	115	4	,	,	PUNCT
ejpam-2402	115	5	we	we	PRON
ejpam-2402	115	6	can	can	AUX
ejpam-2402	115	7	write	write	VERB
ejpam-2402	115	8	z2	z2	PROPN
ejpam-2402	115	9	lm	lm	PROPN
ejpam-2402	115	10	(	(	PUNCT
ejpam-2402	115	11	f	f	PROPN
ejpam-2402	115	12	)	)	PUNCT
ejpam-2402	115	13	(	(	PUNCT
ejpam-2402	115	14	z1	z1	PROPN
ejpam-2402	115	15	,	,	PUNCT
ejpam-2402	115	16	z2)oz1	z2)oz1	X
ejpam-2402	115	17	ln	ln	X
ejpam-2402	115	18	(	(	PUNCT
ejpam-2402	115	19	f	f	PROPN
ejpam-2402	115	20	)	)	PUNCT
ejpam-2402	115	21	(	(	PUNCT
ejpam-2402	115	22	z1	z1	PROPN
ejpam-2402	115	23	,	,	PUNCT
ejpam-2402	115	24	z2	z2	PROPN
ejpam-2402	115	25	)	)	PUNCT
ejpam-2402	115	26	=	=	SYM
ejpam-2402	115	27	bn	bn	PROPN
ejpam-2402	115	28	,	,	PUNCT
ejpam-2402	115	29	m	m	PROPN
ejpam-2402	115	30	,	,	PUNCT
ejpam-2402	115	31	p	p	X
ejpam-2402	115	32	,	,	PUNCT
ejpam-2402	115	33	q	q	PROPN
ejpam-2402	115	34	�	�	PROPN
ejpam-2402	115	35	f	f	PROPN
ejpam-2402	115	36	�	�	PROPN
ejpam-2402	115	37	�	�	PROPN
ejpam-2402	115	38	z1	z1	PROPN
ejpam-2402	115	39	,	,	PUNCT
ejpam-2402	115	40	z2	z2	PROPN
ejpam-2402	115	41	�	�	PROPN
ejpam-2402	115	42	−	−	PROPN
ejpam-2402	115	43	bm	bm	PROPN
ejpam-2402	115	44	,	,	PUNCT
ejpam-2402	115	45	q	q	PROPN
ejpam-2402	115	46	�	�	PROPN
ejpam-2402	115	47	f	f	PROPN
ejpam-2402	115	48	�	�	PROPN
ejpam-2402	115	49	z1	z1	PROPN
ejpam-2402	115	50	,	,	PUNCT
ejpam-2402	115	51	.	.	PUNCT
ejpam-2402	116	1	�	�	PROPN
ejpam-2402	116	2	�	�	PROPN
ejpam-2402	116	3	�	�	PROPN
ejpam-2402	116	4	z2	z2	PROPN
ejpam-2402	116	5	�	�	PROPN
ejpam-2402	116	6	−	−	PROPN
ejpam-2402	116	7	p	p	PROPN
ejpam-2402	116	8	n	n	PROPN
ejpam-2402	116	9	z1.bm	z1.bm	NOUN
ejpam-2402	116	10	,	,	PUNCT
ejpam-2402	116	11	q	q	PROPN
ejpam-2402	116	12	�	�	PROPN
ejpam-2402	116	13	∂	∂	PROPN
ejpam-2402	116	14	f	f	PROPN
ejpam-2402	116	15	∂	∂	NUM
ejpam-2402	116	16	z1	z1	PROPN
ejpam-2402	116	17	�	�	PROPN
ejpam-2402	116	18	z1	z1	PROPN
ejpam-2402	116	19	,	,	PUNCT
ejpam-2402	116	20	.	.	PUNCT
ejpam-2402	117	1	�	�	PROPN
ejpam-2402	117	2	�	�	PROPN
ejpam-2402	117	3	�	�	PROPN
ejpam-2402	117	4	z2	z2	PROPN
ejpam-2402	117	5	�	�	PROPN
ejpam-2402	117	6	−	−	PROPN
ejpam-2402	117	7	z1(1−	z1(1−	X
ejpam-2402	117	8	z1	z1	PROPN
ejpam-2402	117	9	)	)	PUNCT
ejpam-2402	117	10	2n	2n	NUM
ejpam-2402	117	11	.bm	.bm	PUNCT
ejpam-2402	117	12	,	,	PUNCT
ejpam-2402	117	13	q	q	PROPN
ejpam-2402	117	14	�	�	PROPN
ejpam-2402	117	15	∂	∂	NUM
ejpam-2402	117	16	2	2	NUM
ejpam-2402	117	17	f	f	NOUN
ejpam-2402	117	18	∂	∂	NOUN
ejpam-2402	117	19	z2	z2	PROPN
ejpam-2402	117	20	1	1	NUM
ejpam-2402	117	21	(	(	PUNCT
ejpam-2402	117	22	z1	z1	PROPN
ejpam-2402	117	23	,	,	PUNCT
ejpam-2402	117	24	.	.	PUNCT
ejpam-2402	117	25	)	)	PUNCT
ejpam-2402	118	1	�	�	PROPN
ejpam-2402	118	2	(	(	PUNCT
ejpam-2402	118	3	z2	z2	PROPN
ejpam-2402	118	4	)	)	PUNCT
ejpam-2402	118	5	−	−	PROPN
ejpam-2402	119	1	bn	bn	ADP
ejpam-2402	119	2	,	,	PUNCT
ejpam-2402	119	3	p	p	PROPN
ejpam-2402	119	4	�	�	PROPN
ejpam-2402	119	5	f	f	PROPN
ejpam-2402	119	6	(	(	PUNCT
ejpam-2402	119	7	.	.	PUNCT
ejpam-2402	119	8	,	,	PUNCT
ejpam-2402	119	9	z2	z2	PROPN
ejpam-2402	119	10	)	)	PUNCT
ejpam-2402	119	11	�	�	PROPN
ejpam-2402	119	12	(	(	PUNCT
ejpam-2402	119	13	z1)−	z1)−	PROPN
ejpam-2402	119	14	f	f	PROPN
ejpam-2402	119	15	(	(	PUNCT
ejpam-2402	119	16	z1	z1	PROPN
ejpam-2402	119	17	,	,	PUNCT
ejpam-2402	119	18	z2)−	z2)−	PROPN
ejpam-2402	119	19	p	p	NOUN
ejpam-2402	119	20	n	n	X
ejpam-2402	119	21	z1	z1	PROPN
ejpam-2402	119	22	∂	∂	NUM
ejpam-2402	119	23	f	f	PROPN
ejpam-2402	119	24	∂	∂	NUM
ejpam-2402	119	25	z1	z1	PROPN
ejpam-2402	119	26	�	�	PROPN
ejpam-2402	119	27	z1	z1	PROPN
ejpam-2402	119	28	,	,	PUNCT
ejpam-2402	119	29	z2	z2	PROPN
ejpam-2402	119	30	�	�	PROPN
ejpam-2402	119	31	−	−	PROPN
ejpam-2402	119	32	z1(1−	z1(1−	X
ejpam-2402	119	33	z1	z1	PROPN
ejpam-2402	119	34	)	)	PUNCT
ejpam-2402	119	35	2n	2n	NUM
ejpam-2402	119	36	∂	∂	NUM
ejpam-2402	119	37	2	2	NUM
ejpam-2402	119	38	f	f	NOUN
ejpam-2402	119	39	∂	∂	NOUN
ejpam-2402	119	40	z2	z2	PROPN
ejpam-2402	119	41	1	1	NUM
ejpam-2402	119	42	(	(	PUNCT
ejpam-2402	119	43	z1	z1	PROPN
ejpam-2402	119	44	,	,	PUNCT
ejpam-2402	119	45	z2	z2	NUM
ejpam-2402	119	46	)	)	PUNCT
ejpam-2402	119	47	−	−	PROPN
ejpam-2402	119	48	q	q	PROPN
ejpam-2402	119	49	m	m	PROPN
ejpam-2402	119	50	z2	z2	PROPN
ejpam-2402	119	51	bn	bn	PROPN
ejpam-2402	119	52	,	,	PUNCT
ejpam-2402	119	53	p	p	PROPN
ejpam-2402	119	54	�	�	PROPN
ejpam-2402	119	55	∂	∂	PROPN
ejpam-2402	119	56	f	f	PROPN
ejpam-2402	119	57	∂	∂	PROPN
ejpam-2402	119	58	z2	z2	PROPN
ejpam-2402	119	59	(	(	PUNCT
ejpam-2402	119	60	.	.	NUM
ejpam-2402	119	61	,	,	PUNCT
ejpam-2402	119	62	z2	z2	PROPN
ejpam-2402	119	63	)	)	PUNCT
ejpam-2402	119	64	�	�	PROPN
ejpam-2402	119	65	(	(	PUNCT
ejpam-2402	119	66	z1	z1	PROPN
ejpam-2402	119	67	)	)	PUNCT
ejpam-2402	119	68	+	+	NUM
ejpam-2402	119	69	q	q	PROPN
ejpam-2402	119	70	m	m	PROPN
ejpam-2402	119	71	z2	z2	PROPN
ejpam-2402	119	72	∂	∂	NUM
ejpam-2402	119	73	f	f	PROPN
ejpam-2402	119	74	∂	∂	PROPN
ejpam-2402	119	75	z2	z2	PROPN
ejpam-2402	119	76	(	(	PUNCT
ejpam-2402	119	77	z1	z1	PROPN
ejpam-2402	119	78	,	,	PUNCT
ejpam-2402	119	79	z2	z2	PROPN
ejpam-2402	119	80	)	)	PUNCT
ejpam-2402	119	81	+	+	CCONJ
ejpam-2402	119	82	p	p	X
ejpam-2402	119	83	n	n	PRON
ejpam-2402	119	84	z1	z1	ADJ
ejpam-2402	119	85	q	q	PROPN
ejpam-2402	119	86	m	m	PROPN
ejpam-2402	119	87	z2	z2	NOUN
ejpam-2402	119	88	∂	∂	NUM
ejpam-2402	119	89	2	2	NUM
ejpam-2402	119	90	f	f	PROPN
ejpam-2402	119	91	∂	∂	NOUN
ejpam-2402	119	92	z1∂	z1∂	PROPN
ejpam-2402	119	93	z2	z2	PROPN
ejpam-2402	119	94	�	�	PROPN
ejpam-2402	119	95	z1	z1	PROPN
ejpam-2402	119	96	,	,	PUNCT
ejpam-2402	119	97	z2	z2	PROPN
ejpam-2402	119	98	�	�	PROPN
ejpam-2402	119	99	+	+	CCONJ
ejpam-2402	119	100	q	q	PROPN
ejpam-2402	119	101	m	m	PROPN
ejpam-2402	119	102	z2	z2	PROPN
ejpam-2402	119	103	z1(1−	z1(1−	X
ejpam-2402	119	104	z1	z1	PROPN
ejpam-2402	119	105	)	)	PUNCT
ejpam-2402	119	106	2n	2n	NUM
ejpam-2402	119	107	∂	∂	NUM
ejpam-2402	119	108	2	2	NUM
ejpam-2402	119	109	f	f	NOUN
ejpam-2402	119	110	∂	∂	NOUN
ejpam-2402	119	111	z2	z2	PROPN
ejpam-2402	119	112	1	1	NUM
ejpam-2402	119	113	�	�	PROPN
ejpam-2402	119	114	∂	∂	PROPN
ejpam-2402	119	115	f	f	PROPN
ejpam-2402	119	116	∂	∂	PROPN
ejpam-2402	119	117	z2	z2	PROPN
ejpam-2402	119	118	�	�	PROPN
ejpam-2402	119	119	�	�	PROPN
ejpam-2402	119	120	z1	z1	PROPN
ejpam-2402	119	121	,	,	PUNCT
ejpam-2402	119	122	z2	z2	PROPN
ejpam-2402	119	123	�	�	PROPN
ejpam-2402	119	124	−	−	PROPN
ejpam-2402	119	125	z2(1−	z2(1−	PROPN
ejpam-2402	119	126	z2	z2	PROPN
ejpam-2402	119	127	)	)	PUNCT
ejpam-2402	119	128	2	2	NUM
ejpam-2402	119	129	m	m	NOUN
ejpam-2402	119	130	.bn	.bn	NUM
ejpam-2402	119	131	,	,	PUNCT
ejpam-2402	119	132	p	p	PROPN
ejpam-2402	119	133	�	�	PROPN
ejpam-2402	119	134	∂	∂	NUM
ejpam-2402	119	135	2	2	NUM
ejpam-2402	119	136	f	f	NOUN
ejpam-2402	119	137	∂	∂	NOUN
ejpam-2402	119	138	z2	z2	NOUN
ejpam-2402	119	139	2	2	NUM
ejpam-2402	119	140	(	(	PUNCT
ejpam-2402	119	141	.	.	PUNCT
ejpam-2402	119	142	,	,	PUNCT
ejpam-2402	119	143	z2	z2	PROPN
ejpam-2402	119	144	)	)	PUNCT
ejpam-2402	119	145	�	�	PROPN
ejpam-2402	119	146	(	(	PUNCT
ejpam-2402	119	147	z1	z1	PROPN
ejpam-2402	119	148	)	)	PUNCT
ejpam-2402	119	149	+	+	NUM
ejpam-2402	119	150	z2(1−	z2(1−	NOUN
ejpam-2402	119	151	z2	z2	NOUN
ejpam-2402	119	152	)	)	PUNCT
ejpam-2402	119	153	2	2	NUM
ejpam-2402	119	154	m	m	NOUN
ejpam-2402	119	155	∂	∂	NUM
ejpam-2402	119	156	2	2	NUM
ejpam-2402	119	157	f	f	NOUN
ejpam-2402	119	158	∂	∂	NOUN
ejpam-2402	119	159	z2	z2	PROPN
ejpam-2402	119	160	2	2	NUM
ejpam-2402	119	161	(	(	PUNCT
ejpam-2402	119	162	z1	z1	PROPN
ejpam-2402	119	163	,	,	PUNCT
ejpam-2402	119	164	z2	z2	PROPN
ejpam-2402	119	165	)	)	PUNCT
ejpam-2402	119	166	+	+	NUM
ejpam-2402	119	167	z2(1−	z2(1−	NOUN
ejpam-2402	119	168	z2	z2	NOUN
ejpam-2402	119	169	)	)	PUNCT
ejpam-2402	119	170	2	2	NUM
ejpam-2402	119	171	m	m	NOUN
ejpam-2402	119	172	p	p	NOUN
ejpam-2402	119	173	n	n	X
ejpam-2402	119	174	z1	z1	PROPN
ejpam-2402	119	175	∂	∂	NUM
ejpam-2402	119	176	f	f	PROPN
ejpam-2402	119	177	∂	∂	NUM
ejpam-2402	119	178	z1	z1	PROPN
ejpam-2402	119	179	�	�	PROPN
ejpam-2402	119	180	∂	∂	NUM
ejpam-2402	119	181	2	2	NUM
ejpam-2402	119	182	f	f	PROPN
ejpam-2402	119	183	∂	∂	NOUN
ejpam-2402	119	184	z2	z2	PROPN
ejpam-2402	119	185	2	2	NUM
ejpam-2402	119	186	�	�	PROPN
ejpam-2402	119	187	�	�	PROPN
ejpam-2402	119	188	z1	z1	PROPN
ejpam-2402	119	189	,	,	PUNCT
ejpam-2402	119	190	z2	z2	PROPN
ejpam-2402	119	191	�	�	PROPN
ejpam-2402	119	192	+	+	CCONJ
ejpam-2402	119	193	z1(1−	z1(1−	X
ejpam-2402	119	194	z1	z1	PROPN
ejpam-2402	119	195	)	)	PUNCT
ejpam-2402	119	196	2n	2n	NUM
ejpam-2402	119	197	z2(1−	z2(1−	NOUN
ejpam-2402	119	198	z2	z2	PROPN
ejpam-2402	119	199	)	)	PUNCT
ejpam-2402	119	200	2	2	NUM
ejpam-2402	119	201	m	m	NOUN
ejpam-2402	119	202	∂	∂	NUM
ejpam-2402	119	203	4	4	NUM
ejpam-2402	119	204	f	f	NOUN
ejpam-2402	119	205	∂	∂	NUM
ejpam-2402	119	206	z2	z2	PROPN
ejpam-2402	119	207	1	1	NUM
ejpam-2402	119	208	∂	∂	NUM
ejpam-2402	119	209	z2	z2	NOUN
ejpam-2402	119	210	2	2	NUM
ejpam-2402	119	211	(	(	PUNCT
ejpam-2402	119	212	z1	z1	PROPN
ejpam-2402	119	213	,	,	PUNCT
ejpam-2402	119	214	z2	z2	PROPN
ejpam-2402	119	215	)	)	PUNCT
ejpam-2402	119	216	from	from	ADP
ejpam-2402	119	217	which	which	PRON
ejpam-2402	119	218	immediately	immediately	ADV
ejpam-2402	119	219	can	can	AUX
ejpam-2402	119	220	be	be	AUX
ejpam-2402	119	221	derived	derive	VERB
ejpam-2402	119	222	the	the	DET
ejpam-2402	119	223	commutativity	commutativity	NOUN
ejpam-2402	119	224	property	property	NOUN
ejpam-2402	119	225	z2	z2	NOUN
ejpam-2402	120	1	lm	lm	PROPN
ejpam-2402	120	2	(	(	PUNCT
ejpam-2402	120	3	f	f	PROPN
ejpam-2402	120	4	)	)	PUNCT
ejpam-2402	120	5	(	(	PUNCT
ejpam-2402	120	6	z1	z1	PROPN
ejpam-2402	120	7	,	,	PUNCT
ejpam-2402	120	8	z2)oz1	z2)oz1	X
ejpam-2402	120	9	ln	ln	X
ejpam-2402	120	10	(	(	PUNCT
ejpam-2402	120	11	f	f	PROPN
ejpam-2402	120	12	)	)	PUNCT
ejpam-2402	120	13	(	(	PUNCT
ejpam-2402	120	14	z1	z1	PROPN
ejpam-2402	120	15	,	,	PUNCT
ejpam-2402	120	16	z2	z2	NUM
ejpam-2402	120	17	)	)	PUNCT
ejpam-2402	120	18	=	=	NOUN
ejpam-2402	120	19	z1	z1	VERB
ejpam-2402	120	20	ln	ln	ADJ
ejpam-2402	120	21	(	(	PUNCT
ejpam-2402	120	22	f	f	PROPN
ejpam-2402	120	23	)	)	PUNCT
ejpam-2402	120	24	(	(	PUNCT
ejpam-2402	120	25	z1	z1	PROPN
ejpam-2402	120	26	,	,	PUNCT
ejpam-2402	120	27	z2)oz2	z2)oz2	X
ejpam-2402	120	28	lm	lm	PROPN
ejpam-2402	120	29	(	(	PUNCT
ejpam-2402	120	30	f	f	PROPN
ejpam-2402	120	31	)	)	PUNCT
ejpam-2402	120	32	(	(	PUNCT
ejpam-2402	120	33	z1	z1	PROPN
ejpam-2402	120	34	,	,	PUNCT
ejpam-2402	120	35	z2	z2	PROPN
ejpam-2402	120	36	)	)	PUNCT
ejpam-2402	120	37	.	.	PUNCT
ejpam-2402	121	1	now	now	ADV
ejpam-2402	121	2	we	we	PRON
ejpam-2402	121	3	can	can	AUX
ejpam-2402	121	4	give	give	VERB
ejpam-2402	121	5	the	the	DET
ejpam-2402	121	6	voronovskajatype	voronovskajatype	NOUN
ejpam-2402	121	7	theorem	theorem	VERB
ejpam-2402	121	8	.	.	PUNCT
ejpam-2402	121	9	theorem	theorem	NOUN
ejpam-2402	121	10	2	2	NUM
ejpam-2402	121	11	.	.	X
ejpam-2402	121	12	for	for	ADP
ejpam-2402	121	13	fixed	fix	VERB
ejpam-2402	121	14	p	p	NOUN
ejpam-2402	121	15	,	,	PUNCT
ejpam-2402	121	16	q	q	PROPN
ejpam-2402	121	17	∈	∈	PROPN
ejpam-2402	121	18	n∪	n∪	PROPN
ejpam-2402	121	19	{	{	PUNCT
ejpam-2402	121	20	0	0	NUM
ejpam-2402	121	21	}	}	PUNCT
ejpam-2402	121	22	and	and	CCONJ
ejpam-2402	121	23	r1	r1	PROPN
ejpam-2402	121	24	>	>	X
ejpam-2402	121	25	p+	p+	PROPN
ejpam-2402	121	26	1	1	NUM
ejpam-2402	121	27	,	,	PUNCT
ejpam-2402	121	28	r2	r2	PROPN
ejpam-2402	121	29	>	>	PUNCT
ejpam-2402	121	30	q+	q+	PUNCT
ejpam-2402	121	31	1	1	NUM
ejpam-2402	121	32	suppose	suppose	VERB
ejpam-2402	121	33	that	that	SCONJ
ejpam-2402	121	34	f	f	PROPN
ejpam-2402	121	35	:	:	PUNCT
ejpam-2402	121	36	p(0	p(0	ADJ
ejpam-2402	121	37	;	;	PUNCT
ejpam-2402	121	38	r)→	r)→	NOUN
ejpam-2402	121	39	c	c	NOUN
ejpam-2402	121	40	is	be	AUX
ejpam-2402	121	41	analytic	analytic	ADJ
ejpam-2402	121	42	in	in	ADP
ejpam-2402	121	43	p(0	p(0	PROPN
ejpam-2402	121	44	;	;	PUNCT
ejpam-2402	121	45	r	r	X
ejpam-2402	121	46	)	)	PUNCT
ejpam-2402	121	47	=	=	SYM
ejpam-2402	121	48	dr1	dr1	PROPN
ejpam-2402	121	49	×	×	PROPN
ejpam-2402	121	50	dr2	dr2	PROPN
ejpam-2402	121	51	,	,	PUNCT
ejpam-2402	121	52	that	that	ADV
ejpam-2402	121	53	is	is	ADV
ejpam-2402	121	54	f	f	PROPN
ejpam-2402	121	55	(	(	PUNCT
ejpam-2402	121	56	z1	z1	PROPN
ejpam-2402	121	57	;	;	PUNCT
ejpam-2402	121	58	z2	z2	NUM
ejpam-2402	121	59	)	)	PUNCT
ejpam-2402	121	60	=	=	NOUN
ejpam-2402	121	61	∑∞	∑∞	NOUN
ejpam-2402	122	1	k=0	k=0	PROPN
ejpam-2402	122	2	∑∞	∑∞	NOUN
ejpam-2402	122	3	j=0	j=0	PROPN
ejpam-2402	122	4	ck	ck	PROPN
ejpam-2402	122	5	,	,	PUNCT
ejpam-2402	122	6	jz	jz	PROPN
ejpam-2402	122	7	k	k	PROPN
ejpam-2402	122	8	1z	1z	PROPN
ejpam-2402	122	9	j	j	PROPN
ejpam-2402	122	10	2	2	NUM
ejpam-2402	122	11	for	for	ADP
ejpam-2402	122	12	all	all	DET
ejpam-2402	122	13	�	�	PROPN
ejpam-2402	122	14	z1,z2	z1,z2	PROPN
ejpam-2402	122	15	�	�	PROPN
ejpam-2402	122	16	∈	∈	PROPN
ejpam-2402	122	17	p(0	p(0	PROPN
ejpam-2402	122	18	;	;	PUNCT
ejpam-2402	122	19	r	r	X
ejpam-2402	122	20	)	)	PUNCT
ejpam-2402	122	21	,	,	PUNCT
ejpam-2402	122	22	r	r	NOUN
ejpam-2402	122	23	=	=	SYM
ejpam-2402	122	24	(	(	PUNCT
ejpam-2402	122	25	r1,r2	r1,r2	PROPN
ejpam-2402	122	26	)	)	PUNCT
ejpam-2402	122	27	.	.	PUNCT
ejpam-2402	123	1	for	for	ADP
ejpam-2402	123	2	all	all	DET
ejpam-2402	123	3	�	�	PROPN
ejpam-2402	123	4	�	�	PROPN
ejpam-2402	123	5	z1	z1	PROPN
ejpam-2402	123	6	�	�	PROPN
ejpam-2402	123	7	�	�	PROPN
ejpam-2402	123	8	≤	≤	PROPN
ejpam-2402	123	9	r1	r1	PROPN
ejpam-2402	123	10	,	,	PUNCT
ejpam-2402	123	11	�	�	PROPN
ejpam-2402	123	12	�	�	PROPN
ejpam-2402	123	13	z2	z2	PROPN
ejpam-2402	123	14	�	�	PROPN
ejpam-2402	123	15	�	�	PROPN
ejpam-2402	123	16	≤	≤	NUM
ejpam-2402	123	17	r2	r2	PROPN
ejpam-2402	123	18	with	with	ADP
ejpam-2402	123	19	1	1	NUM
ejpam-2402	123	20	<	<	X
ejpam-2402	123	21	r1	r1	PROPN
ejpam-2402	123	22	,	,	PUNCT
ejpam-2402	123	23	(	(	PUNCT
ejpam-2402	123	24	p	p	X
ejpam-2402	123	25	+	+	NOUN
ejpam-2402	123	26	1)r1	1)r1	NUM
ejpam-2402	123	27	<	<	X
ejpam-2402	123	28	r1	r1	PROPN
ejpam-2402	123	29	,	,	PUNCT
ejpam-2402	123	30	1	1	NUM
ejpam-2402	123	31	<	<	X
ejpam-2402	123	32	r2	r2	PROPN
ejpam-2402	123	33	,	,	PUNCT
ejpam-2402	123	34	(	(	PUNCT
ejpam-2402	123	35	q+	q+	ADP
ejpam-2402	123	36	1)r2	1)r2	NOUN
ejpam-2402	123	37	<	<	X
ejpam-2402	123	38	r2	r2	PROPN
ejpam-2402	123	39	and	and	CCONJ
ejpam-2402	123	40	n	n	CCONJ
ejpam-2402	123	41	,	,	PUNCT
ejpam-2402	123	42	m	m	VERB
ejpam-2402	123	43	∈	∈	NOUN
ejpam-2402	123	44	n	n	CCONJ
ejpam-2402	123	45	we	we	PRON
ejpam-2402	123	46	have	have	VERB
ejpam-2402	123	47	�	�	PROPN
ejpam-2402	123	48	�	�	PROPN
ejpam-2402	123	49	z2	z2	PROPN
ejpam-2402	123	50	lm	lm	PROPN
ejpam-2402	123	51	(	(	PUNCT
ejpam-2402	123	52	f	f	PROPN
ejpam-2402	123	53	)	)	PUNCT
ejpam-2402	123	54	(	(	PUNCT
ejpam-2402	123	55	z1	z1	PROPN
ejpam-2402	123	56	,	,	PUNCT
ejpam-2402	123	57	z2)oz1	z2)oz1	X
ejpam-2402	123	58	ln	ln	X
ejpam-2402	123	59	(	(	PUNCT
ejpam-2402	123	60	f	f	PROPN
ejpam-2402	123	61	)	)	PUNCT
ejpam-2402	123	62	(	(	PUNCT
ejpam-2402	123	63	z1	z1	PROPN
ejpam-2402	123	64	,	,	PUNCT
ejpam-2402	123	65	z2	z2	PROPN
ejpam-2402	123	66	)	)	PUNCT
ejpam-2402	123	67	�	�	PROPN
ejpam-2402	123	68	�	�	PROPN
ejpam-2402	123	69	≤	≤	PROPN
ejpam-2402	123	70	m	m	VERB
ejpam-2402	123	71	p	p	NOUN
ejpam-2402	123	72	,	,	PUNCT
ejpam-2402	123	73	q	q	X
ejpam-2402	123	74	r1,r2	r1,r2	PROPN
ejpam-2402	123	75	(	(	PUNCT
ejpam-2402	123	76	f	f	PROPN
ejpam-2402	123	77	)	)	PUNCT
ejpam-2402	123	78	�	�	PROPN
ejpam-2402	123	79	1	1	NUM
ejpam-2402	123	80	n2	n2	NOUN
ejpam-2402	123	81	+	+	CCONJ
ejpam-2402	123	82	1	1	NUM
ejpam-2402	123	83	m2	m2	PROPN
ejpam-2402	123	84	�	�	PROPN
ejpam-2402	123	85	,	,	PUNCT
ejpam-2402	123	86	where	where	SCONJ
ejpam-2402	123	87	m	m	VERB
ejpam-2402	123	88	p	p	NOUN
ejpam-2402	123	89	,	,	PUNCT
ejpam-2402	123	90	q	q	X
ejpam-2402	123	91	r1,r2	r1,r2	PROPN
ejpam-2402	123	92	(	(	PUNCT
ejpam-2402	123	93	f	f	X
ejpam-2402	123	94	)	)	PUNCT
ejpam-2402	124	1	=	=	NOUN
ejpam-2402	124	2	max	max	X
ejpam-2402	124	3	(	(	PUNCT
ejpam-2402	124	4	∞	∞	PROPN
ejpam-2402	124	5	∑	∑	PROPN
ejpam-2402	124	6	k=2	k=2	PROPN
ejpam-2402	124	7	∞	∞	PROPN
ejpam-2402	124	8	∑	∑	PUNCT
ejpam-2402	124	9	j=0	j=0	PROPN
ejpam-2402	124	10	ck	ck	PROPN
ejpam-2402	124	11	,	,	PUNCT
ejpam-2402	124	12	j	j	PROPN
ejpam-2402	124	13	�	�	PROPN
ejpam-2402	124	14	�	�	PROPN
ejpam-2402	124	15	q+	q+	ADP
ejpam-2402	124	16	1	1	NUM
ejpam-2402	124	17	�	�	PROPN
ejpam-2402	124	18	r2	r2	PROPN
ejpam-2402	124	19	�	�	PROPN
ejpam-2402	124	20	j	j	PROPN
ejpam-2402	125	1	dk	dk	PROPN
ejpam-2402	125	2	,	,	PUNCT
ejpam-2402	125	3	p	p	NOUN
ejpam-2402	125	4	,	,	PUNCT
ejpam-2402	125	5	r1	r1	NOUN
ejpam-2402	125	6	,	,	PUNCT
ejpam-2402	125	7	∞	∞	PROPN
ejpam-2402	125	8	∑	∑	PUNCT
ejpam-2402	125	9	k=1	k=1	PROPN
ejpam-2402	125	10	∞	∞	NUM
ejpam-2402	125	11	∑	∑	PROPN
ejpam-2402	125	12	j=1	j=1	PROPN
ejpam-2402	125	13	�	�	PROPN
ejpam-2402	125	14	�	�	PROPN
ejpam-2402	125	15	ck	ck	PROPN
ejpam-2402	125	16	,	,	PUNCT
ejpam-2402	125	17	j	j	PROPN
ejpam-2402	125	18	�	�	PROPN
ejpam-2402	125	19	�	�	PROPN
ejpam-2402	125	20	j	j	PROPN
ejpam-2402	125	21	�	�	PROPN
ejpam-2402	125	22	�	�	PROPN
ejpam-2402	125	23	q+	q+	ADP
ejpam-2402	125	24	1	1	NUM
ejpam-2402	125	25	�	�	PROPN
ejpam-2402	125	26	r2	r2	PROPN
ejpam-2402	125	27	�	�	PROPN
ejpam-2402	125	28	j−1	j−1	PROPN
ejpam-2402	125	29	dk	dk	PROPN
ejpam-2402	125	30	,	,	PUNCT
ejpam-2402	125	31	p	p	NOUN
ejpam-2402	125	32	,	,	PUNCT
ejpam-2402	125	33	r1	r1	NOUN
ejpam-2402	125	34	,	,	PUNCT
ejpam-2402	125	35	∞	∞	PROPN
ejpam-2402	125	36	∑	∑	PROPN
ejpam-2402	125	37	k=2	k=2	PROPN
ejpam-2402	125	38	∞	∞	PROPN
ejpam-2402	125	39	∑	∑	PROPN
ejpam-2402	125	40	j=2	j=2	PROPN
ejpam-2402	125	41	ck	ck	PROPN
ejpam-2402	125	42	,	,	PUNCT
ejpam-2402	125	43	j	j	PROPN
ejpam-2402	125	44	j	j	PROPN
ejpam-2402	125	45	(	(	PUNCT
ejpam-2402	125	46	j	j	PROPN
ejpam-2402	125	47	−	−	PROPN
ejpam-2402	125	48	1	1	NUM
ejpam-2402	125	49	)	)	PUNCT
ejpam-2402	125	50	�	�	PROPN
ejpam-2402	125	51	�	�	PROPN
ejpam-2402	125	52	q+	q+	ADP
ejpam-2402	125	53	1	1	NUM
ejpam-2402	125	54	�	�	PROPN
ejpam-2402	125	55	r2	r2	PROPN
ejpam-2402	125	56	�	�	PROPN
ejpam-2402	125	57	j−2	j−2	PROPN
ejpam-2402	125	58	dk	dk	PROPN
ejpam-2402	125	59	,	,	PUNCT
ejpam-2402	125	60	p	p	NOUN
ejpam-2402	125	61	,	,	PUNCT
ejpam-2402	125	62	r1	r1	PROPN
ejpam-2402	125	63	)	)	PUNCT
ejpam-2402	125	64	,	,	PUNCT
ejpam-2402	125	65	dk	dk	PROPN
ejpam-2402	125	66	,	,	PUNCT
ejpam-2402	125	67	p	p	NOUN
ejpam-2402	125	68	,	,	PUNCT
ejpam-2402	125	69	r1	r1	NOUN
ejpam-2402	125	70	=	=	SYM
ejpam-2402	125	71	(	(	PUNCT
ejpam-2402	125	72	k−	k−	PROPN
ejpam-2402	125	73	1)ak	1)ak	PROPN
ejpam-2402	125	74	�	�	PROPN
ejpam-2402	125	75	�	�	PROPN
ejpam-2402	125	76	p+	p+	PART
ejpam-2402	125	77	1	1	NUM
ejpam-2402	125	78	�	�	PROPN
ejpam-2402	125	79	r1	r1	PROPN
ejpam-2402	125	80	�	�	PROPN
ejpam-2402	125	81	k−1	k−1	PROPN
ejpam-2402	125	82	+	+	CCONJ
ejpam-2402	125	83	ck	ck	PROPN
ejpam-2402	125	84	,	,	PUNCT
ejpam-2402	125	85	p	p	PROPN
ejpam-2402	125	86	�	�	PROPN
ejpam-2402	125	87	�	�	PROPN
ejpam-2402	125	88	p+	p+	PART
ejpam-2402	125	89	1	1	NUM
ejpam-2402	125	90	�	�	PROPN
ejpam-2402	125	91	r1	r1	PROPN
ejpam-2402	125	92	�	�	PROPN
ejpam-2402	125	93	k−2	k−2	PROPN
ejpam-2402	125	94	,	,	PUNCT
ejpam-2402	125	95	ak	ak	PROPN
ejpam-2402	125	96	=	=	SYM
ejpam-2402	125	97	(	(	PUNCT
ejpam-2402	125	98	k−	k−	PROPN
ejpam-2402	125	99	1	1	NUM
ejpam-2402	125	100	)	)	PUNCT
ejpam-2402	126	1	[	[	X
ejpam-2402	126	2	4	4	NUM
ejpam-2402	126	3	(	(	PUNCT
ejpam-2402	126	4	k−	k−	NOUN
ejpam-2402	126	5	1	1	NUM
ejpam-2402	126	6	)	)	PUNCT
ejpam-2402	126	7	(	(	PUNCT
ejpam-2402	126	8	k−	k−	NOUN
ejpam-2402	126	9	2	2	NUM
ejpam-2402	126	10	)	)	PUNCT
ejpam-2402	126	11	+	+	CCONJ
ejpam-2402	126	12	2	2	X
ejpam-2402	126	13	]	]	PUNCT
ejpam-2402	126	14	and	and	CCONJ
ejpam-2402	126	15	ck	ck	PRON
ejpam-2402	126	16	,	,	PUNCT
ejpam-2402	126	17	p	p	NOUN
ejpam-2402	126	18	=	=	SYM
ejpam-2402	126	19	(	(	PUNCT
ejpam-2402	126	20	k−	k−	NOUN
ejpam-2402	126	21	1	1	NUM
ejpam-2402	126	22	)	)	PUNCT
ejpam-2402	126	23	�	�	PROPN
ejpam-2402	126	24	p	p	NOUN
ejpam-2402	126	25	(	(	PUNCT
ejpam-2402	126	26	5k−	5k−	PROPN
ejpam-2402	126	27	4	4	NUM
ejpam-2402	126	28	)	)	PUNCT
ejpam-2402	126	29	+	+	CCONJ
ejpam-2402	126	30	p2	p2	PROPN
ejpam-2402	126	31	+	+	CCONJ
ejpam-2402	126	32	k	k	X
ejpam-2402	126	33	(	(	PUNCT
ejpam-2402	126	34	4k−	4k−	PROPN
ejpam-2402	126	35	7	7	NUM
ejpam-2402	126	36	)	)	PUNCT
ejpam-2402	126	37	�	�	PROPN
ejpam-2402	126	38	.	.	PUNCT
ejpam-2402	127	1	n.	n.	PROPN
ejpam-2402	127	2	i̇spir	i̇spir	PROPN
ejpam-2402	127	3	,	,	PUNCT
ejpam-2402	127	4	ş.	ş.	PROPN
ejpam-2402	127	5	güngör	güngör	PROPN
ejpam-2402	127	6	/	/	SYM
ejpam-2402	127	7	eur	eur	PROPN
ejpam-2402	127	8	.	.	PUNCT
ejpam-2402	128	1	j.	j.	PROPN
ejpam-2402	128	2	pure	pure	PROPN
ejpam-2402	128	3	appl	appl	PROPN
ejpam-2402	128	4	.	.	PROPN
ejpam-2402	128	5	math	math	PROPN
ejpam-2402	128	6	,	,	PUNCT
ejpam-2402	128	7	9	9	NUM
ejpam-2402	128	8	(	(	PUNCT
ejpam-2402	128	9	2016	2016	NUM
ejpam-2402	128	10	)	)	PUNCT
ejpam-2402	128	11	,	,	PUNCT
ejpam-2402	128	12	322	322	NUM
ejpam-2402	128	13	-	-	SYM
ejpam-2402	128	14	332	332	NUM
ejpam-2402	128	15	328	328	NUM
ejpam-2402	128	16	proof	proof	NOUN
ejpam-2402	128	17	.	.	PUNCT
ejpam-2402	129	1	since	since	SCONJ
ejpam-2402	129	2	f	f	PROPN
ejpam-2402	129	3	(	(	PUNCT
ejpam-2402	129	4	z1	z1	PROPN
ejpam-2402	129	5	;	;	PUNCT
ejpam-2402	129	6	z2	z2	NUM
ejpam-2402	129	7	)	)	PUNCT
ejpam-2402	129	8	=	=	NOUN
ejpam-2402	129	9	∑∞	∑∞	NOUN
ejpam-2402	129	10	k=0	k=0	PROPN
ejpam-2402	130	1	∑∞	∑∞	NOUN
ejpam-2402	130	2	j=0	j=0	PROPN
ejpam-2402	130	3	ck	ck	PROPN
ejpam-2402	130	4	,	,	PUNCT
ejpam-2402	130	5	jz	jz	PROPN
ejpam-2402	130	6	k	k	PROPN
ejpam-2402	130	7	1z	1z	PROPN
ejpam-2402	130	8	j	j	PROPN
ejpam-2402	130	9	2	2	NUM
ejpam-2402	130	10	for	for	ADP
ejpam-2402	130	11	all	all	DET
ejpam-2402	130	12	�	�	PROPN
ejpam-2402	130	13	z1,z2	z1,z2	PROPN
ejpam-2402	130	14	�	�	PROPN
ejpam-2402	130	15	∈	∈	PROPN
ejpam-2402	130	16	p(0	p(0	PROPN
ejpam-2402	130	17	;	;	PUNCT
ejpam-2402	130	18	r	r	X
ejpam-2402	130	19	)	)	PUNCT
ejpam-2402	130	20	,	,	PUNCT
ejpam-2402	130	21	we	we	PRON
ejpam-2402	130	22	can	can	AUX
ejpam-2402	130	23	write	write	VERB
ejpam-2402	130	24	f	f	PROPN
ejpam-2402	130	25	(	(	PUNCT
ejpam-2402	130	26	z1	z1	PROPN
ejpam-2402	130	27	;	;	PUNCT
ejpam-2402	130	28	z2	z2	NUM
ejpam-2402	130	29	)	)	PUNCT
ejpam-2402	130	30	=	=	NOUN
ejpam-2402	131	1	∑∞	∑∞	NOUN
ejpam-2402	131	2	k=0	k=0	PROPN
ejpam-2402	131	3	fk(z2)z	fk(z2)z	VERB
ejpam-2402	131	4	k	k	PROPN
ejpam-2402	131	5	1	1	NUM
ejpam-2402	131	6	with	with	ADP
ejpam-2402	131	7	fk(z2	fk(z2	NOUN
ejpam-2402	131	8	)	)	PUNCT
ejpam-2402	131	9	=	=	PUNCT
ejpam-2402	132	1	∑∞	∑∞	NOUN
ejpam-2402	132	2	j=0	j=0	PROPN
ejpam-2402	132	3	ck	ck	PROPN
ejpam-2402	132	4	,	,	PUNCT
ejpam-2402	132	5	jz	jz	PROPN
ejpam-2402	132	6	j	j	PROPN
ejpam-2402	132	7	2	2	NUM
ejpam-2402	132	8	.	.	PUNCT
ejpam-2402	133	1	it	it	PRON
ejpam-2402	133	2	follows	follow	VERB
ejpam-2402	133	3	∂	∂	PROPN
ejpam-2402	133	4	f	f	PROPN
ejpam-2402	133	5	∂	∂	NOUN
ejpam-2402	133	6	z1	z1	PROPN
ejpam-2402	133	7	(	(	PUNCT
ejpam-2402	133	8	z1	z1	PROPN
ejpam-2402	133	9	,	,	PUNCT
ejpam-2402	133	10	z2	z2	NUM
ejpam-2402	133	11	)	)	PUNCT
ejpam-2402	133	12	=	=	PUNCT
ejpam-2402	134	1	∑∞	∑∞	NOUN
ejpam-2402	134	2	k=1	k=1	X
ejpam-2402	134	3	fk	fk	VERB
ejpam-2402	134	4	�	�	PROPN
ejpam-2402	134	5	z2	z2	PROPN
ejpam-2402	134	6	�	�	PROPN
ejpam-2402	134	7	kzk−1	kzk−1	PROPN
ejpam-2402	134	8	1	1	NUM
ejpam-2402	134	9	,	,	PUNCT
ejpam-2402	134	10	∂	∂	NUM
ejpam-2402	134	11	2	2	NUM
ejpam-2402	134	12	f	f	NOUN
ejpam-2402	134	13	∂	∂	NOUN
ejpam-2402	134	14	z2	z2	PROPN
ejpam-2402	134	15	1	1	NUM
ejpam-2402	134	16	(	(	PUNCT
ejpam-2402	134	17	z1	z1	PROPN
ejpam-2402	134	18	,	,	PUNCT
ejpam-2402	134	19	z2	z2	NUM
ejpam-2402	134	20	)	)	PUNCT
ejpam-2402	134	21	=	=	NOUN
ejpam-2402	134	22	∑∞	∑∞	NOUN
ejpam-2402	135	1	k=2	k=2	PROPN
ejpam-2402	135	2	fk	fk	INTJ
ejpam-2402	135	3	�	�	PROPN
ejpam-2402	135	4	z2	z2	PROPN
ejpam-2402	135	5	�	�	PROPN
ejpam-2402	135	6	k	k	PROPN
ejpam-2402	135	7	(	(	PUNCT
ejpam-2402	135	8	k−	k−	PROPN
ejpam-2402	135	9	1	1	NUM
ejpam-2402	135	10	)	)	PUNCT
ejpam-2402	135	11	zk−2	zk−2	PROPN
ejpam-2402	135	12	1	1	NUM
ejpam-2402	135	13	and	and	CCONJ
ejpam-2402	135	14	∂	∂	NUM
ejpam-2402	135	15	2	2	NUM
ejpam-2402	135	16	f	f	PROPN
ejpam-2402	135	17	∂	∂	NOUN
ejpam-2402	135	18	z2	z2	PROPN
ejpam-2402	135	19	2	2	NUM
ejpam-2402	135	20	(	(	PUNCT
ejpam-2402	135	21	z1	z1	PROPN
ejpam-2402	135	22	,	,	PUNCT
ejpam-2402	135	23	z2	z2	NUM
ejpam-2402	135	24	)	)	PUNCT
ejpam-2402	135	25	=	=	NOUN
ejpam-2402	135	26	∑∞	∑∞	NOUN
ejpam-2402	135	27	k=0	k=0	PROPN
ejpam-2402	135	28	∂	∂	NUM
ejpam-2402	135	29	2	2	NUM
ejpam-2402	135	30	∂	∂	NUM
ejpam-2402	135	31	z2	z2	NUM
ejpam-2402	135	32	2	2	NUM
ejpam-2402	135	33	fk	fk	INTJ
ejpam-2402	135	34	�	�	PROPN
ejpam-2402	135	35	z2	z2	PROPN
ejpam-2402	135	36	�	�	PROPN
ejpam-2402	135	37	zk	zk	PROPN
ejpam-2402	135	38	1	1	NUM
ejpam-2402	135	39	where	where	SCONJ
ejpam-2402	135	40	∂	∂	NUM
ejpam-2402	135	41	2	2	NUM
ejpam-2402	135	42	∂	∂	NUM
ejpam-2402	135	43	z2	z2	NUM
ejpam-2402	135	44	2	2	NUM
ejpam-2402	135	45	fk	fk	INTJ
ejpam-2402	135	46	�	�	PROPN
ejpam-2402	135	47	z2	z2	PROPN
ejpam-2402	135	48	�	�	PROPN
ejpam-2402	135	49	=	=	SYM
ejpam-2402	135	50	∑∞	∑∞	NOUN
ejpam-2402	135	51	j=2	j=2	X
ejpam-2402	136	1	ck	ck	INTJ
ejpam-2402	136	2	,	,	PUNCT
ejpam-2402	136	3	j	j	PROPN
ejpam-2402	136	4	j	j	PROPN
ejpam-2402	136	5	(	(	PUNCT
ejpam-2402	136	6	j	j	PROPN
ejpam-2402	136	7	−	−	PROPN
ejpam-2402	136	8	1)z	1)z	PROPN
ejpam-2402	136	9	j−2	j−2	PROPN
ejpam-2402	136	10	2	2	NUM
ejpam-2402	136	11	.	.	PUNCT
ejpam-2402	137	1	hence	hence	ADV
ejpam-2402	137	2	bn	bn	PROPN
ejpam-2402	137	3	,	,	PUNCT
ejpam-2402	137	4	p	p	PROPN
ejpam-2402	137	5	�	�	PROPN
ejpam-2402	137	6	f	f	PROPN
ejpam-2402	137	7	(	(	PUNCT
ejpam-2402	137	8	.	.	PUNCT
ejpam-2402	137	9	,	,	PUNCT
ejpam-2402	137	10	z2	z2	PROPN
ejpam-2402	137	11	)	)	PUNCT
ejpam-2402	137	12	�	�	PROPN
ejpam-2402	137	13	(	(	PUNCT
ejpam-2402	137	14	z1	z1	PROPN
ejpam-2402	137	15	)	)	PUNCT
ejpam-2402	137	16	=	=	NOUN
ejpam-2402	137	17	∑∞	∑∞	NOUN
ejpam-2402	137	18	k=0	k=0	PROPN
ejpam-2402	137	19	fk	fk	VERB
ejpam-2402	137	20	�	�	PROPN
ejpam-2402	137	21	z2	z2	PROPN
ejpam-2402	137	22	�	�	PROPN
ejpam-2402	137	23	bn	bn	PROPN
ejpam-2402	137	24	,	,	PUNCT
ejpam-2402	137	25	p	p	PROPN
ejpam-2402	137	26	�	�	PROPN
ejpam-2402	137	27	ek	ek	PROPN
ejpam-2402	137	28	1	1	NUM
ejpam-2402	137	29	�	�	PROPN
ejpam-2402	137	30	�	�	PROPN
ejpam-2402	137	31	z1	z1	PROPN
ejpam-2402	137	32	�	�	PROPN
ejpam-2402	137	33	and	and	CCONJ
ejpam-2402	137	34	bn	bn	NOUN
ejpam-2402	137	35	,	,	PUNCT
ejpam-2402	137	36	p	p	PROPN
ejpam-2402	137	37	�	�	PROPN
ejpam-2402	137	38	f	f	PROPN
ejpam-2402	137	39	(	(	PUNCT
ejpam-2402	137	40	.	.	PUNCT
ejpam-2402	137	41	,	,	PUNCT
ejpam-2402	137	42	z2	z2	PROPN
ejpam-2402	137	43	)	)	PUNCT
ejpam-2402	137	44	�	�	PROPN
ejpam-2402	137	45	(	(	PUNCT
ejpam-2402	137	46	z1)−	z1)−	PROPN
ejpam-2402	137	47	f	f	PROPN
ejpam-2402	137	48	(	(	PUNCT
ejpam-2402	137	49	z1	z1	PROPN
ejpam-2402	137	50	,	,	PUNCT
ejpam-2402	137	51	z2)−	z2)−	PROPN
ejpam-2402	137	52	p	p	NOUN
ejpam-2402	137	53	n	n	X
ejpam-2402	137	54	z1	z1	PROPN
ejpam-2402	137	55	∂	∂	NUM
ejpam-2402	137	56	f	f	PROPN
ejpam-2402	137	57	∂	∂	NUM
ejpam-2402	137	58	z1	z1	PROPN
ejpam-2402	137	59	�	�	PROPN
ejpam-2402	137	60	z1	z1	PROPN
ejpam-2402	137	61	,	,	PUNCT
ejpam-2402	137	62	z2	z2	PROPN
ejpam-2402	137	63	�	�	PROPN
ejpam-2402	137	64	−	−	PROPN
ejpam-2402	137	65	z1(1−	z1(1−	X
ejpam-2402	137	66	z1	z1	PROPN
ejpam-2402	137	67	)	)	PUNCT
ejpam-2402	137	68	2n	2n	NUM
ejpam-2402	137	69	∂	∂	NUM
ejpam-2402	137	70	2	2	NUM
ejpam-2402	137	71	f	f	NOUN
ejpam-2402	137	72	∂	∂	NOUN
ejpam-2402	137	73	z2	z2	PROPN
ejpam-2402	137	74	1	1	NUM
ejpam-2402	137	75	(	(	PUNCT
ejpam-2402	137	76	z1	z1	PROPN
ejpam-2402	137	77	,	,	PUNCT
ejpam-2402	137	78	z2	z2	NUM
ejpam-2402	137	79	)	)	PUNCT
ejpam-2402	137	80	=	=	SYM
ejpam-2402	138	1	∞	∞	NUM
ejpam-2402	138	2	∑	∑	PROPN
ejpam-2402	138	3	k=2	k=2	PROPN
ejpam-2402	138	4	fk	fk	INTJ
ejpam-2402	138	5	�	�	PROPN
ejpam-2402	138	6	z2	z2	PROPN
ejpam-2402	138	7	�	�	PROPN
ejpam-2402	138	8	�	�	PROPN
ejpam-2402	138	9	bn	bn	PROPN
ejpam-2402	138	10	,	,	PUNCT
ejpam-2402	138	11	p	p	PROPN
ejpam-2402	138	12	�	�	PROPN
ejpam-2402	138	13	ek	ek	PROPN
ejpam-2402	138	14	1	1	NUM
ejpam-2402	138	15	�	�	PROPN
ejpam-2402	138	16	�	�	PROPN
ejpam-2402	138	17	z1	z1	PROPN
ejpam-2402	138	18	�	�	PROPN
ejpam-2402	138	19	−	−	PROPN
ejpam-2402	138	20	�	�	PROPN
ejpam-2402	138	21	ek	ek	NOUN
ejpam-2402	138	22	1	1	NUM
ejpam-2402	138	23	�	�	PROPN
ejpam-2402	138	24	�	�	PROPN
ejpam-2402	138	25	z1	z1	PROPN
ejpam-2402	138	26	�	�	PROPN
ejpam-2402	139	1	−	−	PROPN
ejpam-2402	139	2	p	p	PROPN
ejpam-2402	139	3	n	n	NOUN
ejpam-2402	139	4	kzk	kzk	VERB
ejpam-2402	139	5	1	1	NUM
ejpam-2402	139	6	−	−	PROPN
ejpam-2402	139	7	zk−1	zk−1	NOUN
ejpam-2402	139	8	1	1	NUM
ejpam-2402	139	9	(	(	PUNCT
ejpam-2402	139	10	1−	1−	NUM
ejpam-2402	139	11	z1)k	z1)k	X
ejpam-2402	139	12	(	(	PUNCT
ejpam-2402	139	13	k−	k−	PROPN
ejpam-2402	139	14	1	1	NUM
ejpam-2402	139	15	)	)	PUNCT
ejpam-2402	139	16	2n	2n	NUM
ejpam-2402	139	17	�	�	PROPN
ejpam-2402	139	18	.	.	PUNCT
ejpam-2402	140	1	applying	apply	VERB
ejpam-2402	140	2	bm	bm	PROPN
ejpam-2402	140	3	,	,	PUNCT
ejpam-2402	140	4	q	q	NOUN
ejpam-2402	140	5	to	to	ADP
ejpam-2402	140	6	the	the	DET
ejpam-2402	140	7	last	last	ADJ
ejpam-2402	140	8	expression	expression	NOUN
ejpam-2402	140	9	with	with	ADP
ejpam-2402	140	10	respect	respect	NOUN
ejpam-2402	140	11	to	to	ADP
ejpam-2402	140	12	z2	z2	PROPN
ejpam-2402	140	13	,	,	PUNCT
ejpam-2402	140	14	we	we	PRON
ejpam-2402	140	15	obtain	obtain	VERB
ejpam-2402	140	16	e1	e1	NOUN
ejpam-2402	140	17	=	=	SYM
ejpam-2402	140	18	∞	∞	NUM
ejpam-2402	140	19	∑	∑	PROPN
ejpam-2402	140	20	k=2	k=2	PROPN
ejpam-2402	140	21	bm	bm	PROPN
ejpam-2402	140	22	,	,	PUNCT
ejpam-2402	140	23	q	q	PROPN
ejpam-2402	140	24	�	�	PROPN
ejpam-2402	140	25	fk	fk	INTJ
ejpam-2402	140	26	�	�	PROPN
ejpam-2402	140	27	�	�	PROPN
ejpam-2402	140	28	z2	z2	PROPN
ejpam-2402	140	29	�	�	PROPN
ejpam-2402	140	30	�	�	PROPN
ejpam-2402	140	31	bn	bn	PROPN
ejpam-2402	140	32	,	,	PUNCT
ejpam-2402	140	33	p	p	PROPN
ejpam-2402	140	34	�	�	PROPN
ejpam-2402	140	35	ek	ek	PROPN
ejpam-2402	140	36	1	1	NUM
ejpam-2402	140	37	�	�	PROPN
ejpam-2402	140	38	�	�	PROPN
ejpam-2402	140	39	z1	z1	PROPN
ejpam-2402	140	40	�	�	PROPN
ejpam-2402	140	41	−	−	PROPN
ejpam-2402	140	42	�	�	PROPN
ejpam-2402	140	43	ek	ek	NOUN
ejpam-2402	140	44	1	1	NUM
ejpam-2402	140	45	�	�	PROPN
ejpam-2402	140	46	�	�	PROPN
ejpam-2402	140	47	z1	z1	PROPN
ejpam-2402	140	48	�	�	PROPN
ejpam-2402	140	49	−	−	PROPN
ejpam-2402	140	50	p	p	PROPN
ejpam-2402	140	51	n	n	NOUN
ejpam-2402	140	52	kzk	kzk	VERB
ejpam-2402	140	53	1	1	NUM
ejpam-2402	140	54	−	−	PROPN
ejpam-2402	140	55	zk−1	zk−1	NOUN
ejpam-2402	140	56	1	1	NUM
ejpam-2402	140	57	(	(	PUNCT
ejpam-2402	140	58	1−	1−	NUM
ejpam-2402	140	59	z1)k	z1)k	X
ejpam-2402	140	60	(	(	PUNCT
ejpam-2402	140	61	k−	k−	PROPN
ejpam-2402	140	62	1	1	NUM
ejpam-2402	140	63	)	)	PUNCT
ejpam-2402	140	64	2n	2n	NUM
ejpam-2402	140	65	�	�	PROPN
ejpam-2402	140	66	=	=	SYM
ejpam-2402	141	1	∞	∞	PROPN
ejpam-2402	141	2	∑	∑	PROPN
ejpam-2402	141	3	k=2	k=2	PROPN
ejpam-2402	141	4	∞	∞	PROPN
ejpam-2402	141	5	∑	∑	PUNCT
ejpam-2402	141	6	j=0	j=0	PROPN
ejpam-2402	141	7	ck	ck	PROPN
ejpam-2402	141	8	,	,	PUNCT
ejpam-2402	141	9	jbm	jbm	PROPN
ejpam-2402	141	10	,	,	PUNCT
ejpam-2402	141	11	q	q	PROPN
ejpam-2402	141	12	�	�	PROPN
ejpam-2402	141	13	e	e	PROPN
ejpam-2402	141	14	j	j	PROPN
ejpam-2402	141	15	1	1	NUM
ejpam-2402	141	16	�	�	PROPN
ejpam-2402	141	17	�	�	PROPN
ejpam-2402	141	18	z2	z2	PROPN
ejpam-2402	141	19	�	�	PROPN
ejpam-2402	141	20	!	!	PUNCT
ejpam-2402	141	21	�	�	PROPN
ejpam-2402	142	1	bn	bn	PROPN
ejpam-2402	142	2	,	,	PUNCT
ejpam-2402	142	3	p	p	PROPN
ejpam-2402	142	4	�	�	PROPN
ejpam-2402	142	5	ek	ek	PROPN
ejpam-2402	142	6	1	1	NUM
ejpam-2402	142	7	�	�	PROPN
ejpam-2402	142	8	�	�	PROPN
ejpam-2402	142	9	z1	z1	PROPN
ejpam-2402	142	10	�	�	PROPN
ejpam-2402	142	11	−	−	PROPN
ejpam-2402	142	12	�	�	PROPN
ejpam-2402	142	13	ek	ek	NOUN
ejpam-2402	142	14	1	1	NUM
ejpam-2402	142	15	�	�	PROPN
ejpam-2402	142	16	�	�	PROPN
ejpam-2402	142	17	z1	z1	PROPN
ejpam-2402	142	18	�	�	PROPN
ejpam-2402	143	1	−	−	PROPN
ejpam-2402	143	2	p	p	PROPN
ejpam-2402	143	3	n	n	NOUN
ejpam-2402	143	4	kzk	kzk	VERB
ejpam-2402	143	5	1	1	NUM
ejpam-2402	143	6	−	−	PROPN
ejpam-2402	143	7	zk−1	zk−1	NOUN
ejpam-2402	143	8	1	1	NUM
ejpam-2402	143	9	(	(	PUNCT
ejpam-2402	143	10	1−	1−	NUM
ejpam-2402	143	11	z1)k	z1)k	X
ejpam-2402	143	12	(	(	PUNCT
ejpam-2402	143	13	k−	k−	PROPN
ejpam-2402	143	14	1	1	NUM
ejpam-2402	143	15	)	)	PUNCT
ejpam-2402	143	16	2n	2n	NUM
ejpam-2402	143	17	�	�	PROPN
ejpam-2402	143	18	.	.	PUNCT
ejpam-2402	144	1	passing	pass	VERB
ejpam-2402	144	2	now	now	ADV
ejpam-2402	144	3	to	to	ADP
ejpam-2402	144	4	absolute	absolute	ADJ
ejpam-2402	144	5	value	value	NOUN
ejpam-2402	144	6	with	with	ADP
ejpam-2402	144	7	�	�	PROPN
ejpam-2402	144	8	�	�	PROPN
ejpam-2402	144	9	z1	z1	PROPN
ejpam-2402	144	10	�	�	PROPN
ejpam-2402	144	11	�	�	PROPN
ejpam-2402	144	12	≤	≤	PROPN
ejpam-2402	144	13	r1	r1	PROPN
ejpam-2402	144	14	,	,	PUNCT
ejpam-2402	144	15	�	�	PROPN
ejpam-2402	144	16	�	�	PROPN
ejpam-2402	144	17	z2	z2	PROPN
ejpam-2402	144	18	�	�	PROPN
ejpam-2402	144	19	�	�	PROPN
ejpam-2402	144	20	≤	≤	NUM
ejpam-2402	144	21	r2	r2	PROPN
ejpam-2402	144	22	and	and	CCONJ
ejpam-2402	144	23	considering	consider	VERB
ejpam-2402	144	24	the	the	DET
ejpam-2402	144	25	estimates	estimate	NOUN
ejpam-2402	144	26	in	in	ADP
ejpam-2402	144	27	the	the	DET
ejpam-2402	144	28	proof	proof	NOUN
ejpam-2402	144	29	of	of	ADP
ejpam-2402	144	30	theorem	theorem	ADJ
ejpam-2402	144	31	2.1	2.1	NUM
ejpam-2402	144	32	and	and	CCONJ
ejpam-2402	144	33	theorem	theorem	VERB
ejpam-2402	144	34	2.2	2.2	NUM
ejpam-2402	144	35	in	in	ADP
ejpam-2402	144	36	[	[	X
ejpam-2402	144	37	1	1	NUM
ejpam-2402	144	38	]	]	PUNCT
ejpam-2402	144	39	,	,	PUNCT
ejpam-2402	144	40	we	we	PRON
ejpam-2402	144	41	can	can	AUX
ejpam-2402	144	42	write	write	VERB
ejpam-2402	144	43	�	�	PROPN
ejpam-2402	144	44	�	�	PROPN
ejpam-2402	144	45	e1	e1	PROPN
ejpam-2402	144	46	�	�	PROPN
ejpam-2402	144	47	�	�	PROPN
ejpam-2402	144	48	≤	≤	NUM
ejpam-2402	144	49	∞	∞	NUM
ejpam-2402	144	50	∑	∑	PROPN
ejpam-2402	144	51	k=2	k=2	PROPN
ejpam-2402	144	52	∞	∞	PROPN
ejpam-2402	144	53	∑	∑	PUNCT
ejpam-2402	144	54	j=0	j=0	PROPN
ejpam-2402	144	55	�	�	PROPN
ejpam-2402	144	56	�	�	PROPN
ejpam-2402	144	57	ck	ck	PROPN
ejpam-2402	144	58	,	,	PUNCT
ejpam-2402	144	59	j	j	PROPN
ejpam-2402	144	60	�	�	PROPN
ejpam-2402	144	61	�	�	PROPN
ejpam-2402	144	62	�	�	PROPN
ejpam-2402	144	63	�	�	PROPN
ejpam-2402	144	64	1	1	NUM
ejpam-2402	144	65	+	+	NUM
ejpam-2402	144	66	q	q	ADJ
ejpam-2402	144	67	�	�	PROPN
ejpam-2402	144	68	r2	r2	PROPN
ejpam-2402	144	69	�	�	PROPN
ejpam-2402	144	70	j	j	PROPN
ejpam-2402	144	71			PROPN
ejpam-2402	144	72			NUM
ejpam-2402	144	73	(	(	PUNCT
ejpam-2402	144	74	k−	k−	PROPN
ejpam-2402	144	75	1)ak	1)ak	PROPN
ejpam-2402	144	76	�	�	PROPN
ejpam-2402	144	77	�	�	PROPN
ejpam-2402	144	78	p+	p+	PART
ejpam-2402	144	79	1	1	NUM
ejpam-2402	144	80	�	�	PROPN
ejpam-2402	144	81	r1	r1	PROPN
ejpam-2402	144	82	�	�	PROPN
ejpam-2402	144	83	k−1	k−1	PROPN
ejpam-2402	144	84	+	+	CCONJ
ejpam-2402	144	85	ck	ck	PROPN
ejpam-2402	144	86	,	,	PUNCT
ejpam-2402	144	87	p	p	PROPN
ejpam-2402	144	88	�	�	PROPN
ejpam-2402	144	89	�	�	PROPN
ejpam-2402	144	90	p+	p+	PART
ejpam-2402	144	91	1	1	NUM
ejpam-2402	144	92	�	�	PROPN
ejpam-2402	144	93	r1	r1	PROPN
ejpam-2402	144	94	�	�	PROPN
ejpam-2402	144	95	k−2	k−2	PROPN
ejpam-2402	144	96	n2	n2	NOUN
ejpam-2402	144	97			PROPN
ejpam-2402	144	98			PROPN
ejpam-2402	144	99	where	where	SCONJ
ejpam-2402	144	100	ak	ak	PROPN
ejpam-2402	144	101	=	=	SYM
ejpam-2402	144	102	(	(	PUNCT
ejpam-2402	144	103	k−	k−	PROPN
ejpam-2402	144	104	1	1	NUM
ejpam-2402	144	105	)	)	PUNCT
ejpam-2402	145	1	[	[	X
ejpam-2402	145	2	4	4	NUM
ejpam-2402	145	3	(	(	PUNCT
ejpam-2402	145	4	k−	k−	NOUN
ejpam-2402	145	5	1	1	NUM
ejpam-2402	145	6	)	)	PUNCT
ejpam-2402	145	7	(	(	PUNCT
ejpam-2402	145	8	k−	k−	NOUN
ejpam-2402	145	9	2	2	NUM
ejpam-2402	145	10	)	)	PUNCT
ejpam-2402	145	11	+	+	CCONJ
ejpam-2402	145	12	2	2	X
ejpam-2402	145	13	]	]	PUNCT
ejpam-2402	145	14	and	and	CCONJ
ejpam-2402	145	15	ck	ck	PRON
ejpam-2402	145	16	,	,	PUNCT
ejpam-2402	145	17	p	p	NOUN
ejpam-2402	145	18	=	=	SYM
ejpam-2402	145	19	(	(	PUNCT
ejpam-2402	145	20	k−	k−	NOUN
ejpam-2402	145	21	1	1	NUM
ejpam-2402	145	22	)	)	PUNCT
ejpam-2402	145	23	�	�	PROPN
ejpam-2402	145	24	p	p	NOUN
ejpam-2402	145	25	(	(	PUNCT
ejpam-2402	145	26	5k−	5k−	PROPN
ejpam-2402	145	27	4	4	NUM
ejpam-2402	145	28	)	)	PUNCT
ejpam-2402	145	29	+	+	CCONJ
ejpam-2402	145	30	p2	p2	PROPN
ejpam-2402	145	31	+	+	CCONJ
ejpam-2402	145	32	k	k	X
ejpam-2402	145	33	(	(	PUNCT
ejpam-2402	145	34	4k−	4k−	PROPN
ejpam-2402	145	35	7	7	NUM
ejpam-2402	145	36	)	)	PUNCT
ejpam-2402	145	37	�	�	PROPN
ejpam-2402	145	38	.	.	PUNCT
ejpam-2402	146	1	similarly	similarly	ADV
ejpam-2402	146	2	,	,	PUNCT
ejpam-2402	146	3	�	�	PROPN
ejpam-2402	146	4	�	�	PROPN
ejpam-2402	146	5	e2	e2	PROPN
ejpam-2402	146	6	�	�	PROPN
ejpam-2402	146	7	�	�	PROPN
ejpam-2402	146	8	≤	≤	NUM
ejpam-2402	146	9	∞	∞	NUM
ejpam-2402	146	10	∑	∑	PROPN
ejpam-2402	146	11	k=2	k=2	PROPN
ejpam-2402	146	12	�	�	PROPN
ejpam-2402	146	13	�	�	PROPN
ejpam-2402	146	14	fk	fk	INTJ
ejpam-2402	146	15	�	�	PROPN
ejpam-2402	146	16	z2	z2	PROPN
ejpam-2402	146	17	�	�	PROPN
ejpam-2402	146	18	�	�	PROPN
ejpam-2402	146	19	�	�	PROPN
ejpam-2402	146	20			PROPN
ejpam-2402	146	21			NOUN
ejpam-2402	146	22	(	(	PUNCT
ejpam-2402	146	23	k−	k−	PROPN
ejpam-2402	146	24	1)ak	1)ak	PROPN
ejpam-2402	146	25	�	�	PROPN
ejpam-2402	146	26	�	�	PROPN
ejpam-2402	146	27	p+	p+	PART
ejpam-2402	146	28	1	1	NUM
ejpam-2402	146	29	�	�	PROPN
ejpam-2402	146	30	r1	r1	PROPN
ejpam-2402	146	31	�	�	PROPN
ejpam-2402	146	32	k−1	k−1	PROPN
ejpam-2402	146	33	+	+	CCONJ
ejpam-2402	146	34	ck	ck	PROPN
ejpam-2402	146	35	,	,	PUNCT
ejpam-2402	146	36	p	p	PROPN
ejpam-2402	146	37	�	�	PROPN
ejpam-2402	146	38	�	�	PROPN
ejpam-2402	146	39	p+	p+	PART
ejpam-2402	146	40	1	1	NUM
ejpam-2402	146	41	�	�	PROPN
ejpam-2402	146	42	r1	r1	PROPN
ejpam-2402	146	43	�	�	PROPN
ejpam-2402	146	44	k−2	k−2	PROPN
ejpam-2402	146	45	n2	n2	NOUN
ejpam-2402	146	46			PROPN
ejpam-2402	146	47			PROPN
ejpam-2402	146	48	≤	≤	NOUN
ejpam-2402	146	49	∞	∞	NUM
ejpam-2402	146	50	∑	∑	PROPN
ejpam-2402	146	51	k=2	k=2	PROPN
ejpam-2402	146	52	∞	∞	PROPN
ejpam-2402	146	53	∑	∑	PUNCT
ejpam-2402	146	54	j=0	j=0	PROPN
ejpam-2402	146	55	�	�	PROPN
ejpam-2402	146	56	�	�	PROPN
ejpam-2402	146	57	ck	ck	PROPN
ejpam-2402	146	58	,	,	PUNCT
ejpam-2402	146	59	j	j	PROPN
ejpam-2402	146	60	�	�	PROPN
ejpam-2402	146	61	�	�	PROPN
ejpam-2402	146	62	�	�	PROPN
ejpam-2402	146	63	�	�	PROPN
ejpam-2402	146	64	1	1	NUM
ejpam-2402	146	65	+	+	NUM
ejpam-2402	146	66	q	q	ADJ
ejpam-2402	146	67	�	�	PROPN
ejpam-2402	146	68	r2	r2	PROPN
ejpam-2402	146	69	�	�	PROPN
ejpam-2402	146	70	j	j	PROPN
ejpam-2402	146	71			PROPN
ejpam-2402	146	72			NUM
ejpam-2402	146	73	(	(	PUNCT
ejpam-2402	146	74	k−	k−	PROPN
ejpam-2402	146	75	1)ak	1)ak	PROPN
ejpam-2402	146	76	�	�	PROPN
ejpam-2402	146	77	�	�	PROPN
ejpam-2402	146	78	p+	p+	PART
ejpam-2402	146	79	1	1	NUM
ejpam-2402	146	80	�	�	PROPN
ejpam-2402	146	81	r1	r1	PROPN
ejpam-2402	146	82	�	�	PROPN
ejpam-2402	146	83	k−1	k−1	PROPN
ejpam-2402	146	84	+	+	CCONJ
ejpam-2402	146	85	ck	ck	PROPN
ejpam-2402	146	86	,	,	PUNCT
ejpam-2402	146	87	p	p	PROPN
ejpam-2402	146	88	�	�	PROPN
ejpam-2402	146	89	�	�	PROPN
ejpam-2402	146	90	p+	p+	PART
ejpam-2402	146	91	1	1	NUM
ejpam-2402	146	92	�	�	PROPN
ejpam-2402	146	93	r1	r1	PROPN
ejpam-2402	146	94	�	�	PROPN
ejpam-2402	146	95	k−2	k−2	PROPN
ejpam-2402	146	96	n2	n2	NOUN
ejpam-2402	146	97			PROPN
ejpam-2402	146	98			PROPN
ejpam-2402	146	99	.	.	PUNCT
ejpam-2402	147	1	then	then	ADV
ejpam-2402	147	2	bn	bn	X
ejpam-2402	147	3	,	,	PUNCT
ejpam-2402	147	4	p	p	PROPN
ejpam-2402	147	5	�	�	PROPN
ejpam-2402	147	6	∂	∂	PROPN
ejpam-2402	147	7	f	f	PROPN
ejpam-2402	147	8	∂	∂	PROPN
ejpam-2402	147	9	z2	z2	PROPN
ejpam-2402	147	10	(	(	PUNCT
ejpam-2402	147	11	.	.	NUM
ejpam-2402	147	12	,	,	PUNCT
ejpam-2402	147	13	z2	z2	PROPN
ejpam-2402	147	14	)	)	PUNCT
ejpam-2402	147	15	�	�	PROPN
ejpam-2402	147	16	(	(	PUNCT
ejpam-2402	147	17	z1	z1	PROPN
ejpam-2402	147	18	)	)	PUNCT
ejpam-2402	147	19	=	=	SYM
ejpam-2402	147	20	∞	∞	NUM
ejpam-2402	147	21	∑	∑	PUNCT
ejpam-2402	147	22	k=0	k=0	PROPN
ejpam-2402	147	23	∂	∂	NUM
ejpam-2402	147	24	fk	fk	PROPN
ejpam-2402	147	25	∂	∂	NOUN
ejpam-2402	147	26	z2	z2	PROPN
ejpam-2402	147	27	�	�	PROPN
ejpam-2402	147	28	z2	z2	PROPN
ejpam-2402	147	29	�	�	PROPN
ejpam-2402	147	30	bn	bn	PROPN
ejpam-2402	147	31	,	,	PUNCT
ejpam-2402	147	32	p	p	PROPN
ejpam-2402	147	33	�	�	PROPN
ejpam-2402	147	34	ek	ek	PROPN
ejpam-2402	147	35	1	1	NUM
ejpam-2402	147	36	�	�	PROPN
ejpam-2402	147	37	�	�	PROPN
ejpam-2402	147	38	z1	z1	PROPN
ejpam-2402	147	39	�	�	PROPN
ejpam-2402	147	40	=	=	SYM
ejpam-2402	147	41	∞	∞	PROPN
ejpam-2402	147	42	∑	∑	PUNCT
ejpam-2402	147	43	k=0	k=0	PROPN
ejpam-2402	147	44	∞	∞	PROPN
ejpam-2402	147	45	∑	∑	PROPN
ejpam-2402	147	46	j=1	j=1	PROPN
ejpam-2402	147	47	ck	ck	PROPN
ejpam-2402	147	48	,	,	PUNCT
ejpam-2402	147	49	j	j	PROPN
ejpam-2402	147	50	jz	jz	PROPN
ejpam-2402	147	51	j−1	j−1	PROPN
ejpam-2402	147	52	2	2	NUM
ejpam-2402	147	53	bn	bn	NOUN
ejpam-2402	147	54	,	,	PUNCT
ejpam-2402	147	55	p	p	PROPN
ejpam-2402	147	56	�	�	PROPN
ejpam-2402	147	57	ek	ek	PROPN
ejpam-2402	147	58	1	1	NUM
ejpam-2402	147	59	�	�	PROPN
ejpam-2402	147	60	�	�	PROPN
ejpam-2402	147	61	z1	z1	PROPN
ejpam-2402	147	62	�	�	PROPN
ejpam-2402	147	63	n.	n.	PROPN
ejpam-2402	147	64	i̇spir	i̇spir	PROPN
ejpam-2402	147	65	,	,	PUNCT
ejpam-2402	147	66	ş.	ş.	ADP
ejpam-2402	147	67	güngör	güngör	PROPN
ejpam-2402	147	68	/	/	SYM
ejpam-2402	147	69	eur	eur	PROPN
ejpam-2402	147	70	.	.	PUNCT
ejpam-2402	148	1	j.	j.	PROPN
ejpam-2402	148	2	pure	pure	PROPN
ejpam-2402	148	3	appl	appl	PROPN
ejpam-2402	148	4	.	.	PROPN
ejpam-2402	148	5	math	math	PROPN
ejpam-2402	148	6	,	,	PUNCT
ejpam-2402	148	7	9	9	NUM
ejpam-2402	148	8	(	(	PUNCT
ejpam-2402	148	9	2016	2016	NUM
ejpam-2402	148	10	)	)	PUNCT
ejpam-2402	148	11	,	,	PUNCT
ejpam-2402	148	12	322	322	NUM
ejpam-2402	148	13	-	-	SYM
ejpam-2402	148	14	332	332	NUM
ejpam-2402	148	15	329	329	NUM
ejpam-2402	148	16	and	and	CCONJ
ejpam-2402	148	17	�	�	PROPN
ejpam-2402	148	18	bn	bn	PROPN
ejpam-2402	148	19	,	,	PUNCT
ejpam-2402	148	20	p	p	PROPN
ejpam-2402	148	21	�	�	PROPN
ejpam-2402	148	22	∂	∂	PROPN
ejpam-2402	148	23	f	f	PROPN
ejpam-2402	148	24	∂	∂	PROPN
ejpam-2402	148	25	z2	z2	PROPN
ejpam-2402	148	26	(	(	PUNCT
ejpam-2402	148	27	.	.	NUM
ejpam-2402	148	28	,	,	PUNCT
ejpam-2402	148	29	z2	z2	PROPN
ejpam-2402	148	30	)	)	PUNCT
ejpam-2402	148	31	�	�	PROPN
ejpam-2402	148	32	(	(	PUNCT
ejpam-2402	148	33	z1)−	z1)−	PROPN
ejpam-2402	148	34	∂	∂	PROPN
ejpam-2402	148	35	f	f	PROPN
ejpam-2402	148	36	∂	∂	PROPN
ejpam-2402	148	37	z2	z2	PROPN
ejpam-2402	148	38	(	(	PUNCT
ejpam-2402	148	39	z1	z1	PROPN
ejpam-2402	148	40	,	,	PUNCT
ejpam-2402	148	41	z2)−	z2)−	PROPN
ejpam-2402	148	42	p	p	NOUN
ejpam-2402	148	43	n	n	X
ejpam-2402	148	44	z1	z1	PROPN
ejpam-2402	148	45	∂	∂	NUM
ejpam-2402	148	46	f	f	PROPN
ejpam-2402	148	47	∂	∂	NUM
ejpam-2402	148	48	z1	z1	PROPN
ejpam-2402	148	49	�	�	PROPN
ejpam-2402	148	50	∂	∂	PROPN
ejpam-2402	148	51	f	f	PROPN
ejpam-2402	148	52	∂	∂	PROPN
ejpam-2402	148	53	z2	z2	PROPN
ejpam-2402	148	54	�	�	PROPN
ejpam-2402	148	55	�	�	PROPN
ejpam-2402	148	56	z1	z1	PROPN
ejpam-2402	148	57	,	,	PUNCT
ejpam-2402	148	58	z2	z2	PROPN
ejpam-2402	148	59	�	�	PROPN
ejpam-2402	148	60	−	−	PROPN
ejpam-2402	148	61	z1(1−	z1(1−	X
ejpam-2402	148	62	z1	z1	PROPN
ejpam-2402	148	63	)	)	PUNCT
ejpam-2402	148	64	2n	2n	NUM
ejpam-2402	148	65	∂	∂	NUM
ejpam-2402	148	66	2	2	NUM
ejpam-2402	148	67	f	f	NOUN
ejpam-2402	148	68	∂	∂	NOUN
ejpam-2402	148	69	z2	z2	PROPN
ejpam-2402	148	70	1	1	NUM
ejpam-2402	148	71	�	�	PROPN
ejpam-2402	148	72	∂	∂	PROPN
ejpam-2402	148	73	f	f	PROPN
ejpam-2402	148	74	∂	∂	PROPN
ejpam-2402	148	75	z2	z2	PROPN
ejpam-2402	148	76	�	�	PROPN
ejpam-2402	148	77	�	�	PROPN
ejpam-2402	148	78	z1	z1	PROPN
ejpam-2402	148	79	,	,	PUNCT
ejpam-2402	148	80	z2	z2	PROPN
ejpam-2402	148	81	�	�	PROPN
ejpam-2402	148	82	�	�	PROPN
ejpam-2402	148	83	=	=	SYM
ejpam-2402	149	1	∞	∞	PROPN
ejpam-2402	149	2	∑	∑	PUNCT
ejpam-2402	149	3	k=1	k=1	PROPN
ejpam-2402	149	4	∞	∞	NUM
ejpam-2402	149	5	∑	∑	PROPN
ejpam-2402	149	6	j=1	j=1	PROPN
ejpam-2402	149	7	ck	ck	PROPN
ejpam-2402	149	8	,	,	PUNCT
ejpam-2402	149	9	j	j	PROPN
ejpam-2402	149	10	jz	jz	PROPN
ejpam-2402	149	11	j−1	j−1	PROPN
ejpam-2402	149	12	2	2	NUM
ejpam-2402	149	13	�	�	PROPN
ejpam-2402	149	14	bn	bn	NOUN
ejpam-2402	149	15	,	,	PUNCT
ejpam-2402	149	16	p	p	PROPN
ejpam-2402	149	17	�	�	PROPN
ejpam-2402	149	18	ek	ek	PROPN
ejpam-2402	149	19	1	1	NUM
ejpam-2402	149	20	�	�	PROPN
ejpam-2402	149	21	�	�	PROPN
ejpam-2402	149	22	z1	z1	PROPN
ejpam-2402	149	23	�	�	PROPN
ejpam-2402	149	24	−	−	PROPN
ejpam-2402	149	25	�	�	PROPN
ejpam-2402	149	26	ek	ek	NOUN
ejpam-2402	149	27	1	1	NUM
ejpam-2402	149	28	�	�	PROPN
ejpam-2402	149	29	�	�	PROPN
ejpam-2402	149	30	z1	z1	PROPN
ejpam-2402	149	31	�	�	PROPN
ejpam-2402	150	1	−	−	PROPN
ejpam-2402	150	2	p	p	PROPN
ejpam-2402	150	3	n	n	NOUN
ejpam-2402	150	4	kzk	kzk	VERB
ejpam-2402	150	5	1	1	NUM
ejpam-2402	150	6	−	−	PROPN
ejpam-2402	150	7	zk−1	zk−1	NOUN
ejpam-2402	150	8	1	1	NUM
ejpam-2402	150	9	(	(	PUNCT
ejpam-2402	150	10	1−	1−	NUM
ejpam-2402	150	11	z1)k	z1)k	X
ejpam-2402	150	12	(	(	PUNCT
ejpam-2402	150	13	k−	k−	PROPN
ejpam-2402	150	14	1	1	NUM
ejpam-2402	150	15	)	)	PUNCT
ejpam-2402	150	16	2n	2n	NUM
ejpam-2402	150	17	�	�	PROPN
ejpam-2402	150	18	,	,	PUNCT
ejpam-2402	150	19	in	in	ADP
ejpam-2402	150	20	the	the	DET
ejpam-2402	150	21	same	same	ADJ
ejpam-2402	150	22	way	way	NOUN
ejpam-2402	150	23	,	,	PUNCT
ejpam-2402	150	24	we	we	PRON
ejpam-2402	150	25	get	get	VERB
ejpam-2402	150	26	�	�	PROPN
ejpam-2402	150	27	�	�	PROPN
ejpam-2402	150	28	e3	e3	NOUN
ejpam-2402	150	29	�	�	PROPN
ejpam-2402	150	30	�	�	PROPN
ejpam-2402	150	31	≤	≤	NUM
ejpam-2402	150	32	∞	∞	NUM
ejpam-2402	150	33	∑	∑	PUNCT
ejpam-2402	150	34	k=1	k=1	PROPN
ejpam-2402	150	35	∞	∞	NUM
ejpam-2402	150	36	∑	∑	PROPN
ejpam-2402	150	37	j=1	j=1	PROPN
ejpam-2402	150	38	�	�	PROPN
ejpam-2402	150	39	�	�	PROPN
ejpam-2402	150	40	ck	ck	PROPN
ejpam-2402	150	41	,	,	PUNCT
ejpam-2402	150	42	j	j	PROPN
ejpam-2402	150	43	�	�	PROPN
ejpam-2402	150	44	�	�	PROPN
ejpam-2402	150	45	j	j	PROPN
ejpam-2402	150	46	�	�	PROPN
ejpam-2402	150	47	�	�	PROPN
ejpam-2402	150	48	q+	q+	ADP
ejpam-2402	150	49	1	1	NUM
ejpam-2402	150	50	�	�	PROPN
ejpam-2402	150	51	r2	r2	PROPN
ejpam-2402	150	52	�	�	PROPN
ejpam-2402	150	53	j−1	j−1	PROPN
ejpam-2402	150	54			PROPN
ejpam-2402	150	55			NOUN
ejpam-2402	150	56	(	(	PUNCT
ejpam-2402	150	57	k−	k−	PROPN
ejpam-2402	150	58	1)ak	1)ak	PROPN
ejpam-2402	150	59	�	�	PROPN
ejpam-2402	150	60	�	�	PROPN
ejpam-2402	150	61	p+	p+	PART
ejpam-2402	150	62	1	1	NUM
ejpam-2402	150	63	�	�	PROPN
ejpam-2402	150	64	r1	r1	PROPN
ejpam-2402	150	65	�	�	PROPN
ejpam-2402	150	66	k−1	k−1	PROPN
ejpam-2402	150	67	+	+	CCONJ
ejpam-2402	150	68	ck	ck	PROPN
ejpam-2402	150	69	,	,	PUNCT
ejpam-2402	150	70	p	p	PROPN
ejpam-2402	150	71	�	�	PROPN
ejpam-2402	150	72	�	�	PROPN
ejpam-2402	150	73	p+	p+	PART
ejpam-2402	150	74	1	1	NUM
ejpam-2402	150	75	�	�	PROPN
ejpam-2402	150	76	r1	r1	PROPN
ejpam-2402	150	77	�	�	PROPN
ejpam-2402	150	78	k−2	k−2	PROPN
ejpam-2402	150	79	n2	n2	NOUN
ejpam-2402	150	80			PROPN
ejpam-2402	150	81			PROPN
ejpam-2402	150	82	.	.	PUNCT
ejpam-2402	151	1	similarly	similarly	ADV
ejpam-2402	151	2	bn	bn	PROPN
ejpam-2402	151	3	,	,	PUNCT
ejpam-2402	151	4	p	p	PROPN
ejpam-2402	151	5	�	�	PROPN
ejpam-2402	151	6	∂	∂	NUM
ejpam-2402	151	7	2	2	NUM
ejpam-2402	151	8	f	f	NOUN
ejpam-2402	151	9	∂	∂	NOUN
ejpam-2402	151	10	z2	z2	NOUN
ejpam-2402	151	11	2	2	NUM
ejpam-2402	151	12	(	(	PUNCT
ejpam-2402	151	13	.	.	PUNCT
ejpam-2402	151	14	,	,	PUNCT
ejpam-2402	151	15	z2	z2	PROPN
ejpam-2402	151	16	)	)	PUNCT
ejpam-2402	151	17	�	�	PROPN
ejpam-2402	151	18	(	(	PUNCT
ejpam-2402	151	19	z1	z1	PROPN
ejpam-2402	151	20	)	)	PUNCT
ejpam-2402	151	21	=	=	SYM
ejpam-2402	152	1	∞	∞	NUM
ejpam-2402	152	2	∑	∑	ADP
ejpam-2402	152	3	k=0	k=0	PROPN
ejpam-2402	152	4	∂	∂	NUM
ejpam-2402	152	5	2	2	NUM
ejpam-2402	152	6	fk	fk	NOUN
ejpam-2402	152	7	∂	∂	NOUN
ejpam-2402	152	8	z2	z2	PROPN
ejpam-2402	152	9	2	2	NUM
ejpam-2402	152	10	�	�	PROPN
ejpam-2402	152	11	z2	z2	PROPN
ejpam-2402	152	12	�	�	PROPN
ejpam-2402	152	13	bn	bn	PROPN
ejpam-2402	152	14	,	,	PUNCT
ejpam-2402	152	15	p	p	PROPN
ejpam-2402	152	16	�	�	PROPN
ejpam-2402	152	17	ek	ek	PROPN
ejpam-2402	152	18	1	1	NUM
ejpam-2402	152	19	�	�	PROPN
ejpam-2402	152	20	�	�	PROPN
ejpam-2402	152	21	z1	z1	PROPN
ejpam-2402	152	22	�	�	PROPN
ejpam-2402	152	23	=	=	SYM
ejpam-2402	152	24	∞	∞	PROPN
ejpam-2402	152	25	∑	∑	PUNCT
ejpam-2402	152	26	k=0	k=0	PROPN
ejpam-2402	152	27	∞	∞	PROPN
ejpam-2402	152	28	∑	∑	PROPN
ejpam-2402	152	29	j=2	j=2	PROPN
ejpam-2402	152	30	ck	ck	PROPN
ejpam-2402	152	31	,	,	PUNCT
ejpam-2402	153	1	j	j	PROPN
ejpam-2402	153	2	j	j	PROPN
ejpam-2402	153	3	�	�	PROPN
ejpam-2402	153	4	j	j	PROPN
ejpam-2402	153	5	−	−	PROPN
ejpam-2402	153	6	1	1	NUM
ejpam-2402	153	7	�	�	PROPN
ejpam-2402	153	8	z	z	PROPN
ejpam-2402	153	9	j−2	j−2	PROPN
ejpam-2402	153	10	2	2	NUM
ejpam-2402	153	11	bn	bn	NOUN
ejpam-2402	153	12	,	,	PUNCT
ejpam-2402	153	13	p	p	PROPN
ejpam-2402	153	14	�	�	PROPN
ejpam-2402	153	15	ek	ek	PROPN
ejpam-2402	153	16	1	1	NUM
ejpam-2402	153	17	�	�	PROPN
ejpam-2402	153	18	�	�	PROPN
ejpam-2402	153	19	z1	z1	PROPN
ejpam-2402	153	20	�	�	PROPN
ejpam-2402	153	21	and	and	CCONJ
ejpam-2402	153	22	bn	bn	NOUN
ejpam-2402	153	23	,	,	PUNCT
ejpam-2402	153	24	p	p	PROPN
ejpam-2402	153	25	�	�	PROPN
ejpam-2402	153	26	∂	∂	NUM
ejpam-2402	153	27	2	2	NUM
ejpam-2402	153	28	f	f	NOUN
ejpam-2402	153	29	∂	∂	NOUN
ejpam-2402	153	30	z2	z2	NOUN
ejpam-2402	153	31	2	2	NUM
ejpam-2402	153	32	(	(	PUNCT
ejpam-2402	153	33	.	.	PUNCT
ejpam-2402	153	34	,	,	PUNCT
ejpam-2402	153	35	z2	z2	PROPN
ejpam-2402	153	36	)	)	PUNCT
ejpam-2402	153	37	�	�	PROPN
ejpam-2402	153	38	(	(	PUNCT
ejpam-2402	153	39	z1)−	z1)−	PROPN
ejpam-2402	153	40	∂	∂	NUM
ejpam-2402	153	41	2	2	NUM
ejpam-2402	153	42	f	f	NOUN
ejpam-2402	153	43	∂	∂	NOUN
ejpam-2402	154	1	z2	z2	PROPN
ejpam-2402	154	2	2	2	NUM
ejpam-2402	154	3	(	(	PUNCT
ejpam-2402	154	4	z1	z1	PROPN
ejpam-2402	154	5	,	,	PUNCT
ejpam-2402	154	6	z2)−	z2)−	PROPN
ejpam-2402	154	7	p	p	NOUN
ejpam-2402	154	8	n	n	X
ejpam-2402	154	9	z1	z1	PROPN
ejpam-2402	154	10	∂	∂	NUM
ejpam-2402	154	11	f	f	PROPN
ejpam-2402	154	12	∂	∂	NUM
ejpam-2402	154	13	z1	z1	PROPN
ejpam-2402	154	14	�	�	PROPN
ejpam-2402	154	15	∂	∂	NUM
ejpam-2402	154	16	2	2	NUM
ejpam-2402	154	17	f	f	PROPN
ejpam-2402	154	18	∂	∂	NOUN
ejpam-2402	154	19	z2	z2	PROPN
ejpam-2402	154	20	2	2	NUM
ejpam-2402	154	21	�	�	PROPN
ejpam-2402	154	22	�	�	PROPN
ejpam-2402	154	23	z1	z1	PROPN
ejpam-2402	154	24	,	,	PUNCT
ejpam-2402	154	25	z2	z2	PROPN
ejpam-2402	154	26	�	�	PROPN
ejpam-2402	154	27	−	−	PROPN
ejpam-2402	154	28	z1(1−	z1(1−	X
ejpam-2402	154	29	z1	z1	PROPN
ejpam-2402	154	30	)	)	PUNCT
ejpam-2402	154	31	2n	2n	NUM
ejpam-2402	154	32	∂	∂	NUM
ejpam-2402	154	33	2	2	NUM
ejpam-2402	154	34	∂	∂	NUM
ejpam-2402	154	35	z2	z2	NUM
ejpam-2402	154	36	1	1	NUM
ejpam-2402	154	37	�	�	PROPN
ejpam-2402	154	38	∂	∂	NUM
ejpam-2402	154	39	2	2	NUM
ejpam-2402	154	40	f	f	PROPN
ejpam-2402	154	41	∂	∂	NOUN
ejpam-2402	154	42	z2	z2	PROPN
ejpam-2402	154	43	2	2	NUM
ejpam-2402	154	44	�	�	PROPN
ejpam-2402	154	45	(	(	PUNCT
ejpam-2402	154	46	z1	z1	PROPN
ejpam-2402	154	47	,	,	PUNCT
ejpam-2402	154	48	z2	z2	NUM
ejpam-2402	154	49	)	)	PUNCT
ejpam-2402	154	50	=	=	SYM
ejpam-2402	155	1	∞	∞	NUM
ejpam-2402	155	2	∑	∑	PROPN
ejpam-2402	155	3	k=2	k=2	PROPN
ejpam-2402	155	4	∞	∞	PROPN
ejpam-2402	155	5	∑	∑	PROPN
ejpam-2402	155	6	j=2	j=2	PROPN
ejpam-2402	155	7	ck	ck	PROPN
ejpam-2402	155	8	,	,	PUNCT
ejpam-2402	155	9	j	j	PROPN
ejpam-2402	155	10	j	j	PROPN
ejpam-2402	155	11	�	�	PROPN
ejpam-2402	155	12	j	j	PROPN
ejpam-2402	155	13	−	−	PROPN
ejpam-2402	155	14	1	1	NUM
ejpam-2402	155	15	�	�	PROPN
ejpam-2402	155	16	z	z	PROPN
ejpam-2402	155	17	j−2	j−2	PROPN
ejpam-2402	155	18	2	2	NUM
ejpam-2402	155	19	�	�	PROPN
ejpam-2402	155	20	bn	bn	PROPN
ejpam-2402	155	21	,	,	PUNCT
ejpam-2402	155	22	p	p	PROPN
ejpam-2402	155	23	�	�	PROPN
ejpam-2402	155	24	ek	ek	PROPN
ejpam-2402	155	25	1	1	NUM
ejpam-2402	155	26	�	�	PROPN
ejpam-2402	155	27	�	�	PROPN
ejpam-2402	155	28	z1	z1	PROPN
ejpam-2402	155	29	�	�	PROPN
ejpam-2402	155	30	−	−	PROPN
ejpam-2402	155	31	�	�	PROPN
ejpam-2402	155	32	ek	ek	NOUN
ejpam-2402	155	33	1	1	NUM
ejpam-2402	155	34	�	�	PROPN
ejpam-2402	155	35	�	�	PROPN
ejpam-2402	155	36	z1	z1	PROPN
ejpam-2402	155	37	�	�	PROPN
ejpam-2402	156	1	−	−	PROPN
ejpam-2402	156	2	p	p	PROPN
ejpam-2402	156	3	n	n	NOUN
ejpam-2402	156	4	kzk	kzk	VERB
ejpam-2402	156	5	1	1	NUM
ejpam-2402	156	6	−	−	PROPN
ejpam-2402	156	7	zk−1	zk−1	NOUN
ejpam-2402	156	8	1	1	NUM
ejpam-2402	156	9	(	(	PUNCT
ejpam-2402	156	10	1−	1−	NUM
ejpam-2402	156	11	z1)k	z1)k	X
ejpam-2402	156	12	(	(	PUNCT
ejpam-2402	156	13	k−	k−	PROPN
ejpam-2402	156	14	1	1	NUM
ejpam-2402	156	15	)	)	PUNCT
ejpam-2402	156	16	2n	2n	NUM
ejpam-2402	156	17	�	�	PROPN
ejpam-2402	156	18	hence	hence	ADV
ejpam-2402	156	19	by	by	ADP
ejpam-2402	156	20	similar	similar	ADJ
ejpam-2402	156	21	opinion	opinion	NOUN
ejpam-2402	156	22	we	we	PRON
ejpam-2402	156	23	have	have	VERB
ejpam-2402	156	24	�	�	PROPN
ejpam-2402	156	25	�	�	PROPN
ejpam-2402	156	26	e4	e4	PROPN
ejpam-2402	156	27	�	�	PROPN
ejpam-2402	156	28	�	�	PROPN
ejpam-2402	156	29	≤	≤	NUM
ejpam-2402	156	30	∞	∞	NUM
ejpam-2402	156	31	∑	∑	PROPN
ejpam-2402	156	32	k=2	k=2	PROPN
ejpam-2402	156	33	∞	∞	PROPN
ejpam-2402	156	34	∑	∑	PROPN
ejpam-2402	156	35	j=2	j=2	PROPN
ejpam-2402	156	36	�	�	PROPN
ejpam-2402	156	37	�	�	PROPN
ejpam-2402	156	38	ck	ck	PROPN
ejpam-2402	156	39	,	,	PUNCT
ejpam-2402	157	1	j	j	PROPN
ejpam-2402	157	2	�	�	PROPN
ejpam-2402	157	3	�	�	PROPN
ejpam-2402	157	4	j	j	PROPN
ejpam-2402	157	5	�	�	PROPN
ejpam-2402	157	6	j	j	PROPN
ejpam-2402	157	7	−	−	PROPN
ejpam-2402	157	8	1	1	NUM
ejpam-2402	157	9	�	�	PROPN
ejpam-2402	157	10	�	�	PROPN
ejpam-2402	157	11	�	�	PROPN
ejpam-2402	157	12	q+	q+	ADP
ejpam-2402	157	13	1	1	NUM
ejpam-2402	157	14	�	�	PROPN
ejpam-2402	157	15	r2	r2	PROPN
ejpam-2402	157	16	�	�	PROPN
ejpam-2402	157	17	j−2	j−2	PROPN
ejpam-2402	157	18			PROPN
ejpam-2402	157	19			NOUN
ejpam-2402	157	20	(	(	PUNCT
ejpam-2402	157	21	k−	k−	PROPN
ejpam-2402	157	22	1)ak	1)ak	PROPN
ejpam-2402	157	23	�	�	PROPN
ejpam-2402	157	24	�	�	PROPN
ejpam-2402	157	25	p+	p+	PART
ejpam-2402	157	26	1	1	NUM
ejpam-2402	157	27	�	�	PROPN
ejpam-2402	157	28	r1	r1	PROPN
ejpam-2402	157	29	�	�	PROPN
ejpam-2402	157	30	k−1	k−1	PROPN
ejpam-2402	157	31	+	+	CCONJ
ejpam-2402	157	32	ck	ck	PROPN
ejpam-2402	157	33	,	,	PUNCT
ejpam-2402	157	34	p	p	PROPN
ejpam-2402	157	35	�	�	PROPN
ejpam-2402	157	36	�	�	PROPN
ejpam-2402	157	37	p+	p+	PART
ejpam-2402	157	38	1	1	NUM
ejpam-2402	157	39	�	�	PROPN
ejpam-2402	157	40	r1	r1	PROPN
ejpam-2402	157	41	�	�	PROPN
ejpam-2402	157	42	k−2	k−2	PROPN
ejpam-2402	157	43	n2	n2	NOUN
ejpam-2402	157	44			PROPN
ejpam-2402	157	45			PROPN
ejpam-2402	157	46	.	.	PUNCT
ejpam-2402	157	47	interchanging	interchange	VERB
ejpam-2402	157	48	above	above	ADP
ejpam-2402	157	49	the	the	DET
ejpam-2402	157	50	places	place	NOUN
ejpam-2402	157	51	of	of	ADP
ejpam-2402	157	52	n	n	PRON
ejpam-2402	157	53	and	and	CCONJ
ejpam-2402	157	54	m	m	VERB
ejpam-2402	157	55	we	we	PRON
ejpam-2402	157	56	obtain	obtain	VERB
ejpam-2402	157	57	a	a	DET
ejpam-2402	157	58	similar	similar	ADJ
ejpam-2402	157	59	order	order	NOUN
ejpam-2402	157	60	of	of	ADP
ejpam-2402	157	61	approximation	approximation	NOUN
ejpam-2402	157	62	for	for	ADP
ejpam-2402	157	63	�	�	PROPN
ejpam-2402	157	64	�	�	PROPN
ejpam-2402	157	65	z1	z1	PROPN
ejpam-2402	157	66	lm	lm	PROPN
ejpam-2402	157	67	(	(	PUNCT
ejpam-2402	157	68	f	f	PROPN
ejpam-2402	157	69	)	)	PUNCT
ejpam-2402	157	70	(	(	PUNCT
ejpam-2402	157	71	z1	z1	PROPN
ejpam-2402	157	72	,	,	PUNCT
ejpam-2402	157	73	z2)oz2	z2)oz2	NOUN
ejpam-2402	157	74	ln	ln	PROPN
ejpam-2402	157	75	(	(	PUNCT
ejpam-2402	157	76	f	f	PROPN
ejpam-2402	157	77	)	)	PUNCT
ejpam-2402	157	78	(	(	PUNCT
ejpam-2402	157	79	z1	z1	PROPN
ejpam-2402	157	80	,	,	PUNCT
ejpam-2402	157	81	z2	z2	PROPN
ejpam-2402	157	82	)	)	PUNCT
ejpam-2402	157	83	�	�	PROPN
ejpam-2402	157	84	�	�	PROPN
ejpam-2402	157	85	therefore	therefore	ADV
ejpam-2402	157	86	�	�	PROPN
ejpam-2402	157	87	�	�	PROPN
ejpam-2402	157	88	z2	z2	PROPN
ejpam-2402	157	89	lm	lm	PROPN
ejpam-2402	157	90	(	(	PUNCT
ejpam-2402	157	91	f	f	PROPN
ejpam-2402	157	92	)	)	PUNCT
ejpam-2402	157	93	(	(	PUNCT
ejpam-2402	157	94	z1	z1	PROPN
ejpam-2402	157	95	,	,	PUNCT
ejpam-2402	157	96	z2)oz1	z2)oz1	X
ejpam-2402	157	97	ln	ln	X
ejpam-2402	157	98	(	(	PUNCT
ejpam-2402	157	99	f	f	PROPN
ejpam-2402	157	100	)	)	PUNCT
ejpam-2402	157	101	(	(	PUNCT
ejpam-2402	157	102	z1	z1	PROPN
ejpam-2402	157	103	,	,	PUNCT
ejpam-2402	157	104	z2	z2	PROPN
ejpam-2402	157	105	)	)	PUNCT
ejpam-2402	157	106	�	�	PROPN
ejpam-2402	157	107	�	�	PROPN
ejpam-2402	157	108	≤	≤	PROPN
ejpam-2402	157	109	�	�	PROPN
ejpam-2402	157	110	�	�	PROPN
ejpam-2402	157	111	e1	e1	PROPN
ejpam-2402	157	112	�	�	PROPN
ejpam-2402	157	113	�	�	PROPN
ejpam-2402	157	114	+	+	PROPN
ejpam-2402	157	115	�	�	PROPN
ejpam-2402	157	116	�	�	PROPN
ejpam-2402	157	117	e2	e2	PROPN
ejpam-2402	157	118	�	�	PROPN
ejpam-2402	157	119	�	�	PROPN
ejpam-2402	157	120	+	+	PROPN
ejpam-2402	157	121	�	�	PROPN
ejpam-2402	157	122	�	�	PROPN
ejpam-2402	157	123	e3	e3	NOUN
ejpam-2402	157	124	�	�	PROPN
ejpam-2402	157	125	�	�	PROPN
ejpam-2402	157	126	+	+	CCONJ
ejpam-2402	157	127	�	�	PROPN
ejpam-2402	157	128	�	�	PROPN
ejpam-2402	157	129	e4	e4	PROPN
ejpam-2402	157	130	�	�	PROPN
ejpam-2402	157	131	�	�	PROPN
ejpam-2402	157	132	≤m	≤m	PROPN
ejpam-2402	157	133	p	p	NOUN
ejpam-2402	157	134	,	,	PUNCT
ejpam-2402	157	135	q	q	X
ejpam-2402	157	136	r1,r2	r1,r2	PROPN
ejpam-2402	157	137	(	(	PUNCT
ejpam-2402	157	138	f	f	PROPN
ejpam-2402	157	139	)	)	PUNCT
ejpam-2402	157	140	�	�	PROPN
ejpam-2402	157	141	1	1	NUM
ejpam-2402	157	142	n2	n2	NOUN
ejpam-2402	157	143	+	+	CCONJ
ejpam-2402	157	144	1	1	NUM
ejpam-2402	157	145	m2	m2	PROPN
ejpam-2402	157	146	�	�	PROPN
ejpam-2402	157	147	with	with	ADP
ejpam-2402	157	148	m	m	PROPN
ejpam-2402	157	149	p	p	NOUN
ejpam-2402	157	150	,	,	PUNCT
ejpam-2402	157	151	q	q	X
ejpam-2402	157	152	r1,r2	r1,r2	PROPN
ejpam-2402	157	153	(	(	PUNCT
ejpam-2402	157	154	f	f	PROPN
ejpam-2402	157	155	)	)	PUNCT
ejpam-2402	157	156	given	give	VERB
ejpam-2402	157	157	by	by	ADP
ejpam-2402	157	158	the	the	DET
ejpam-2402	157	159	statement	statement	NOUN
ejpam-2402	157	160	.	.	PUNCT
ejpam-2402	158	1	the	the	DET
ejpam-2402	158	2	voronovskajatype	voronovskajatype	NOUN
ejpam-2402	158	3	theorem	theorem	NOUN
ejpam-2402	158	4	will	will	AUX
ejpam-2402	158	5	be	be	AUX
ejpam-2402	158	6	used	use	VERB
ejpam-2402	158	7	to	to	PART
ejpam-2402	158	8	find	find	VERB
ejpam-2402	158	9	the	the	DET
ejpam-2402	158	10	exact	exact	ADJ
ejpam-2402	158	11	order	order	NOUN
ejpam-2402	158	12	in	in	ADP
ejpam-2402	158	13	approximation	approximation	NOUN
ejpam-2402	158	14	by	by	ADP
ejpam-2402	158	15	bn	bn	PROPN
ejpam-2402	158	16	,	,	PUNCT
ejpam-2402	158	17	n	n	CCONJ
ejpam-2402	158	18	,	,	PUNCT
ejpam-2402	158	19	p	p	X
ejpam-2402	158	20	,	,	PUNCT
ejpam-2402	158	21	p	p	PROPN
ejpam-2402	158	22	�	�	PROPN
ejpam-2402	158	23	f	f	PROPN
ejpam-2402	158	24	�	�	PROPN
ejpam-2402	158	25	.	.	PUNCT
ejpam-2402	159	1	we	we	PRON
ejpam-2402	159	2	present	present	VERB
ejpam-2402	159	3	the	the	DET
ejpam-2402	159	4	following	follow	VERB
ejpam-2402	159	5	theorem	theorem	PROPN
ejpam-2402	159	6	.	.	PUNCT
ejpam-2402	160	1	n.	n.	PROPN
ejpam-2402	160	2	i̇spir	i̇spir	PROPN
ejpam-2402	160	3	,	,	PUNCT
ejpam-2402	160	4	ş.	ş.	PROPN
ejpam-2402	160	5	güngör	güngör	PROPN
ejpam-2402	160	6	/	/	SYM
ejpam-2402	160	7	eur	eur	PROPN
ejpam-2402	160	8	.	.	PUNCT
ejpam-2402	161	1	j.	j.	PROPN
ejpam-2402	161	2	pure	pure	PROPN
ejpam-2402	161	3	appl	appl	PROPN
ejpam-2402	161	4	.	.	PROPN
ejpam-2402	161	5	math	math	PROPN
ejpam-2402	161	6	,	,	PUNCT
ejpam-2402	161	7	9	9	NUM
ejpam-2402	161	8	(	(	PUNCT
ejpam-2402	161	9	2016	2016	NUM
ejpam-2402	161	10	)	)	PUNCT
ejpam-2402	161	11	,	,	PUNCT
ejpam-2402	161	12	322	322	NUM
ejpam-2402	161	13	-	-	SYM
ejpam-2402	161	14	332	332	NUM
ejpam-2402	161	15	330	330	NUM
ejpam-2402	161	16	theorem	theorem	NOUN
ejpam-2402	161	17	3	3	NUM
ejpam-2402	161	18	.	.	NOUN
ejpam-2402	161	19	for	for	ADP
ejpam-2402	161	20	fixed	fix	VERB
ejpam-2402	161	21	p	p	NOUN
ejpam-2402	161	22	,	,	PUNCT
ejpam-2402	161	23	q	q	PROPN
ejpam-2402	161	24	∈	∈	PROPN
ejpam-2402	161	25	n∪	n∪	PROPN
ejpam-2402	161	26	{	{	PUNCT
ejpam-2402	161	27	0	0	NUM
ejpam-2402	161	28	}	}	PUNCT
ejpam-2402	161	29	and	and	CCONJ
ejpam-2402	161	30	r1	r1	PROPN
ejpam-2402	161	31	>	>	X
ejpam-2402	161	32	p+	p+	PROPN
ejpam-2402	161	33	1	1	NUM
ejpam-2402	161	34	,	,	PUNCT
ejpam-2402	161	35	r2	r2	PROPN
ejpam-2402	161	36	>	>	PUNCT
ejpam-2402	161	37	q+	q+	PUNCT
ejpam-2402	161	38	1	1	NUM
ejpam-2402	161	39	suppose	suppose	VERB
ejpam-2402	161	40	that	that	SCONJ
ejpam-2402	161	41	f	f	PROPN
ejpam-2402	161	42	:	:	PUNCT
ejpam-2402	161	43	p(0	p(0	ADJ
ejpam-2402	161	44	;	;	PUNCT
ejpam-2402	161	45	r)→	r)→	NOUN
ejpam-2402	161	46	c	c	NOUN
ejpam-2402	161	47	is	be	AUX
ejpam-2402	161	48	analytic	analytic	ADJ
ejpam-2402	161	49	in	in	ADP
ejpam-2402	161	50	p(0	p(0	PROPN
ejpam-2402	161	51	;	;	PUNCT
ejpam-2402	162	1	r	r	X
ejpam-2402	162	2	)	)	PUNCT
ejpam-2402	162	3	=	=	SYM
ejpam-2402	163	1	dr1	dr1	PROPN
ejpam-2402	163	2	×	×	PROPN
ejpam-2402	163	3	dr2	dr2	PROPN
ejpam-2402	163	4	,	,	PUNCT
ejpam-2402	163	5	that	that	ADV
ejpam-2402	163	6	is	is	ADV
ejpam-2402	163	7	f	f	PROPN
ejpam-2402	163	8	(	(	PUNCT
ejpam-2402	163	9	z1	z1	PROPN
ejpam-2402	163	10	,	,	PUNCT
ejpam-2402	163	11	z2	z2	NUM
ejpam-2402	163	12	)	)	PUNCT
ejpam-2402	163	13	=	=	NOUN
ejpam-2402	163	14	∑∞	∑∞	NOUN
ejpam-2402	163	15	k=0	k=0	PROPN
ejpam-2402	163	16	∑∞	∑∞	NOUN
ejpam-2402	163	17	j=0	j=0	PROPN
ejpam-2402	163	18	ck	ck	PROPN
ejpam-2402	163	19	,	,	PUNCT
ejpam-2402	163	20	jz	jz	PROPN
ejpam-2402	163	21	k	k	PROPN
ejpam-2402	163	22	1z	1z	PROPN
ejpam-2402	163	23	j	j	PROPN
ejpam-2402	163	24	2	2	NUM
ejpam-2402	163	25	for	for	ADP
ejpam-2402	163	26	all	all	PRON
ejpam-2402	163	27	(	(	PUNCT
ejpam-2402	163	28	z1	z1	PROPN
ejpam-2402	163	29	,	,	PUNCT
ejpam-2402	163	30	z2	z2	PROPN
ejpam-2402	163	31	)	)	PUNCT
ejpam-2402	163	32	∈	∈	PROPN
ejpam-2402	163	33	p(0	p(0	NOUN
ejpam-2402	163	34	;	;	PUNCT
ejpam-2402	163	35	r	r	X
ejpam-2402	163	36	)	)	PUNCT
ejpam-2402	163	37	,	,	PUNCT
ejpam-2402	163	38	r	r	NOUN
ejpam-2402	163	39	=	=	SYM
ejpam-2402	163	40	(	(	PUNCT
ejpam-2402	163	41	r1	r1	PROPN
ejpam-2402	163	42	;	;	PUNCT
ejpam-2402	163	43	r2	r2	PROPN
ejpam-2402	163	44	)	)	PUNCT
ejpam-2402	163	45	.	.	PUNCT
ejpam-2402	164	1	denoting	denote	VERB
ejpam-2402	164	2	f	f	X
ejpam-2402	164	3	r1,r2	r1,r2	PROPN
ejpam-2402	164	4	=	=	SYM
ejpam-2402	164	5	sup	sup	PROPN
ejpam-2402	164	6	�	�	PROPN
ejpam-2402	164	7	�	�	PROPN
ejpam-2402	164	8	�	�	PROPN
ejpam-2402	164	9	f	f	PROPN
ejpam-2402	164	10	(	(	PUNCT
ejpam-2402	164	11	z1	z1	PROPN
ejpam-2402	164	12	;	;	PUNCT
ejpam-2402	164	13	z2	z2	NUM
ejpam-2402	164	14	)	)	PUNCT
ejpam-2402	164	15	�	�	PROPN
ejpam-2402	164	16	�	�	PROPN
ejpam-2402	164	17	:	:	PUNCT
ejpam-2402	164	18	�	�	PROPN
ejpam-2402	164	19	�	�	PROPN
ejpam-2402	164	20	z1	z1	PROPN
ejpam-2402	164	21	�	�	PROPN
ejpam-2402	164	22	�	�	PROPN
ejpam-2402	164	23	≤	≤	PROPN
ejpam-2402	164	24	r1	r1	NOUN
ejpam-2402	164	25	,	,	PUNCT
ejpam-2402	164	26	�	�	PROPN
ejpam-2402	164	27	�	�	PROPN
ejpam-2402	164	28	z2	z2	PROPN
ejpam-2402	164	29	�	�	PROPN
ejpam-2402	164	30	�	�	PROPN
ejpam-2402	164	31	≤	≤	NOUN
ejpam-2402	164	32	r2	r2	NOUN
ejpam-2402	164	33	,	,	PUNCT
ejpam-2402	164	34	if	if	SCONJ
ejpam-2402	164	35	f	f	PROPN
ejpam-2402	164	36	is	be	AUX
ejpam-2402	164	37	not	not	PART
ejpam-2402	164	38	a	a	DET
ejpam-2402	164	39	solution	solution	NOUN
ejpam-2402	164	40	of	of	ADP
ejpam-2402	164	41	the	the	DET
ejpam-2402	164	42	complex	complex	ADJ
ejpam-2402	164	43	partial	partial	ADJ
ejpam-2402	164	44	differential	differential	NOUN
ejpam-2402	164	45	equation	equation	NOUN
ejpam-2402	164	46	pz1	pz1	PROPN
ejpam-2402	164	47	∂	∂	NUM
ejpam-2402	164	48	f	f	PROPN
ejpam-2402	164	49	∂	∂	NOUN
ejpam-2402	164	50	z1	z1	PROPN
ejpam-2402	164	51	+	+	CCONJ
ejpam-2402	164	52	z1(1−	z1(1−	X
ejpam-2402	164	53	z1	z1	NOUN
ejpam-2402	164	54	)	)	PUNCT
ejpam-2402	164	55	2	2	NUM
ejpam-2402	164	56	∂	∂	NUM
ejpam-2402	164	57	2	2	NUM
ejpam-2402	164	58	f	f	NOUN
ejpam-2402	164	59	∂	∂	NOUN
ejpam-2402	164	60	z2	z2	PROPN
ejpam-2402	164	61	1	1	NUM
ejpam-2402	164	62	(	(	PUNCT
ejpam-2402	164	63	z1	z1	PROPN
ejpam-2402	164	64	,	,	PUNCT
ejpam-2402	164	65	z2	z2	PROPN
ejpam-2402	164	66	)	)	PUNCT
ejpam-2402	164	67	+	+	CCONJ
ejpam-2402	164	68	qz2	qz2	PROPN
ejpam-2402	164	69	∂	∂	NOUN
ejpam-2402	164	70	f	f	PROPN
ejpam-2402	164	71	∂	∂	PROPN
ejpam-2402	164	72	z2	z2	PROPN
ejpam-2402	164	73	+	+	CCONJ
ejpam-2402	164	74	z2(1−	z2(1−	PROPN
ejpam-2402	164	75	z2	z2	NOUN
ejpam-2402	164	76	)	)	PUNCT
ejpam-2402	165	1	2	2	NUM
ejpam-2402	165	2	∂	∂	NUM
ejpam-2402	165	3	2	2	NUM
ejpam-2402	165	4	f	f	NOUN
ejpam-2402	165	5	∂	∂	NOUN
ejpam-2402	165	6	z2	z2	PROPN
ejpam-2402	165	7	2	2	NUM
ejpam-2402	165	8	(	(	PUNCT
ejpam-2402	165	9	z1	z1	PROPN
ejpam-2402	165	10	,	,	PUNCT
ejpam-2402	165	11	z2	z2	PROPN
ejpam-2402	165	12	)	)	PUNCT
ejpam-2402	165	13	=	=	SYM
ejpam-2402	165	14	0	0	NUM
ejpam-2402	165	15	,	,	PUNCT
ejpam-2402	165	16	(	(	PUNCT
ejpam-2402	165	17	4	4	NUM
ejpam-2402	165	18	)	)	PUNCT
ejpam-2402	165	19	for	for	ADP
ejpam-2402	165	20	any	any	DET
ejpam-2402	165	21	(	(	PUNCT
ejpam-2402	165	22	z1	z1	PROPN
ejpam-2402	165	23	,	,	PUNCT
ejpam-2402	165	24	z2	z2	PROPN
ejpam-2402	165	25	)	)	PUNCT
ejpam-2402	165	26	∈	∈	PROPN
ejpam-2402	165	27	p(0	p(0	NOUN
ejpam-2402	165	28	;	;	PUNCT
ejpam-2402	165	29	r	r	X
ejpam-2402	165	30	)	)	PUNCT
ejpam-2402	165	31	,	,	PUNCT
ejpam-2402	165	32	then	then	ADV
ejpam-2402	165	33	we	we	PRON
ejpam-2402	165	34	have	have	VERB
ejpam-2402	165	35	bn	bn	NUM
ejpam-2402	165	36	,	,	PUNCT
ejpam-2402	165	37	n	n	CCONJ
ejpam-2402	165	38	,	,	PUNCT
ejpam-2402	165	39	p	p	X
ejpam-2402	165	40	,	,	PUNCT
ejpam-2402	165	41	p	p	NOUN
ejpam-2402	166	1	−	−	PROPN
ejpam-2402	166	2	f	f	SYM
ejpam-2402	166	3	r1,r2	r1,r2	PROPN
ejpam-2402	166	4	≥	≥	NOUN
ejpam-2402	166	5	kr1,r2	kr1,r2	PROPN
ejpam-2402	166	6	,	,	PUNCT
ejpam-2402	166	7	f	f	PROPN
ejpam-2402	166	8	n	n	ADV
ejpam-2402	166	9	,	,	PUNCT
ejpam-2402	166	10	for	for	ADP
ejpam-2402	166	11	all	all	DET
ejpam-2402	166	12	n	n	PRON
ejpam-2402	166	13	∈	∈	PROPN
ejpam-2402	166	14	n	n	CCONJ
ejpam-2402	166	15	(	(	PUNCT
ejpam-2402	166	16	5	5	NUM
ejpam-2402	166	17	)	)	PUNCT
ejpam-2402	166	18	where	where	SCONJ
ejpam-2402	166	19	kr1,r2	kr1,r2	PROPN
ejpam-2402	166	20	,	,	PUNCT
ejpam-2402	166	21	f	f	PROPN
ejpam-2402	166	22	is	be	AUX
ejpam-2402	166	23	independent	independent	ADJ
ejpam-2402	166	24	on	on	ADP
ejpam-2402	166	25	n.	n.	NOUN
ejpam-2402	166	26	proof	proof	NOUN
ejpam-2402	166	27	.	.	PUNCT
ejpam-2402	167	1	we	we	PRON
ejpam-2402	167	2	can	can	AUX
ejpam-2402	167	3	write	write	VERB
ejpam-2402	167	4	bn	bn	PROPN
ejpam-2402	167	5	,	,	PUNCT
ejpam-2402	167	6	n	n	CCONJ
ejpam-2402	167	7	,	,	PUNCT
ejpam-2402	167	8	p	p	X
ejpam-2402	167	9	,	,	PUNCT
ejpam-2402	167	10	p	p	PROPN
ejpam-2402	167	11	�	�	PROPN
ejpam-2402	167	12	f	f	PROPN
ejpam-2402	167	13	�	�	PROPN
ejpam-2402	167	14	�	�	PROPN
ejpam-2402	167	15	z1	z1	PROPN
ejpam-2402	167	16	,	,	PUNCT
ejpam-2402	167	17	z2	z2	PROPN
ejpam-2402	167	18	�	�	PROPN
ejpam-2402	167	19	−	−	PROPN
ejpam-2402	167	20	f	f	PROPN
ejpam-2402	167	21	�	�	PROPN
ejpam-2402	167	22	z1	z1	PROPN
ejpam-2402	167	23	,	,	PUNCT
ejpam-2402	167	24	z2	z2	PROPN
ejpam-2402	167	25	�	�	PROPN
ejpam-2402	167	26	=	=	SYM
ejpam-2402	167	27	2	2	NUM
ejpam-2402	167	28	n	n	NOUN
ejpam-2402	167	29	¨	¨	NOUN
ejpam-2402	167	30	p	p	X
ejpam-2402	167	31	2	2	NUM
ejpam-2402	167	32	z1	z1	NOUN
ejpam-2402	167	33	∂	∂	NUM
ejpam-2402	167	34	f	f	PROPN
ejpam-2402	167	35	∂	∂	NOUN
ejpam-2402	167	36	z1	z1	PROPN
ejpam-2402	167	37	+	+	CCONJ
ejpam-2402	167	38	z1(1−	z1(1−	X
ejpam-2402	167	39	z1	z1	NOUN
ejpam-2402	167	40	)	)	PUNCT
ejpam-2402	167	41	4	4	NUM
ejpam-2402	167	42	∂	∂	NUM
ejpam-2402	167	43	2	2	NUM
ejpam-2402	167	44	f	f	NOUN
ejpam-2402	167	45	∂	∂	NOUN
ejpam-2402	167	46	z2	z2	PROPN
ejpam-2402	167	47	1	1	NUM
ejpam-2402	167	48	(	(	PUNCT
ejpam-2402	167	49	z1	z1	PROPN
ejpam-2402	167	50	,	,	PUNCT
ejpam-2402	167	51	z2	z2	PROPN
ejpam-2402	167	52	)	)	PUNCT
ejpam-2402	167	53	+	+	CCONJ
ejpam-2402	167	54	p	p	X
ejpam-2402	167	55	2	2	NUM
ejpam-2402	167	56	z2	z2	PROPN
ejpam-2402	167	57	∂	∂	NUM
ejpam-2402	167	58	f	f	PROPN
ejpam-2402	167	59	∂	∂	PROPN
ejpam-2402	167	60	z2	z2	PROPN
ejpam-2402	167	61	+	+	CCONJ
ejpam-2402	167	62	z2(1−	z2(1−	PROPN
ejpam-2402	167	63	z2	z2	NOUN
ejpam-2402	167	64	)	)	PUNCT
ejpam-2402	167	65	4	4	NUM
ejpam-2402	167	66	∂	∂	NUM
ejpam-2402	167	67	2	2	NUM
ejpam-2402	167	68	f	f	NOUN
ejpam-2402	167	69	∂	∂	NOUN
ejpam-2402	167	70	z2	z2	PROPN
ejpam-2402	167	71	2	2	NUM
ejpam-2402	167	72	(	(	PUNCT
ejpam-2402	167	73	z1	z1	PROPN
ejpam-2402	167	74	,	,	PUNCT
ejpam-2402	167	75	z2	z2	PROPN
ejpam-2402	167	76	)	)	PUNCT
ejpam-2402	167	77	+	+	CCONJ
ejpam-2402	167	78	2	2	NUM
ejpam-2402	167	79	n	n	PRON
ejpam-2402	167	80	�	�	PROPN
ejpam-2402	167	81	n2	n2	PROPN
ejpam-2402	167	82	4	4	NUM
ejpam-2402	167	83	�	�	PROPN
ejpam-2402	167	84	z2	z2	PROPN
ejpam-2402	167	85	ln	ln	PROPN
ejpam-2402	167	86	(	(	PUNCT
ejpam-2402	167	87	f	f	NOUN
ejpam-2402	167	88	)	)	PUNCT
ejpam-2402	167	89	oz1	oz1	ADV
ejpam-2402	167	90	ln	ln	ADJ
ejpam-2402	167	91	(	(	PUNCT
ejpam-2402	167	92	f	f	PROPN
ejpam-2402	167	93	)	)	PUNCT
ejpam-2402	167	94	�	�	PROPN
ejpam-2402	167	95	(	(	PUNCT
ejpam-2402	167	96	z1	z1	PROPN
ejpam-2402	167	97	,	,	PUNCT
ejpam-2402	167	98	z2	z2	PROPN
ejpam-2402	167	99	)	)	PUNCT
ejpam-2402	167	100	�	�	PROPN
ejpam-2402	167	101	+	+	CCONJ
ejpam-2402	167	102	rn	rn	PROPN
ejpam-2402	167	103	�	�	PROPN
ejpam-2402	167	104	f	f	PROPN
ejpam-2402	167	105	�	�	PROPN
ejpam-2402	167	106	(	(	PUNCT
ejpam-2402	167	107	z1	z1	PROPN
ejpam-2402	167	108	,	,	PUNCT
ejpam-2402	167	109	z2	z2	PROPN
ejpam-2402	167	110	)	)	PUNCT
ejpam-2402	167	111	�	�	PROPN
ejpam-2402	167	112	where	where	SCONJ
ejpam-2402	167	113	rn	rn	PROPN
ejpam-2402	167	114	�	�	PROPN
ejpam-2402	167	115	f	f	PROPN
ejpam-2402	167	116	�	�	PROPN
ejpam-2402	167	117	(	(	PUNCT
ejpam-2402	167	118	z1	z1	PROPN
ejpam-2402	167	119	,	,	PUNCT
ejpam-2402	167	120	z2	z2	NUM
ejpam-2402	167	121	)	)	PUNCT
ejpam-2402	167	122	=	=	SYM
ejpam-2402	167	123	n	n	NUM
ejpam-2402	167	124	2	2	NUM
ejpam-2402	167	125	�	�	PROPN
ejpam-2402	167	126	bn	bn	NOUN
ejpam-2402	167	127	,	,	PUNCT
ejpam-2402	167	128	p	p	PROPN
ejpam-2402	167	129	�	�	PROPN
ejpam-2402	167	130	f	f	PROPN
ejpam-2402	167	131	(	(	PUNCT
ejpam-2402	167	132	z1	z1	PROPN
ejpam-2402	167	133	,	,	PUNCT
ejpam-2402	167	134	.	.	PUNCT
ejpam-2402	167	135	)	)	PUNCT
ejpam-2402	168	1	�	�	PROPN
ejpam-2402	168	2	(	(	PUNCT
ejpam-2402	168	3	z2)−	z2)−	PROPN
ejpam-2402	168	4	f	f	X
ejpam-2402	168	5	(	(	PUNCT
ejpam-2402	168	6	z1	z1	PROPN
ejpam-2402	168	7	,	,	PUNCT
ejpam-2402	168	8	z2)−	z2)−	PROPN
ejpam-2402	168	9	p	p	PROPN
ejpam-2402	168	10	n	n	PROPN
ejpam-2402	168	11	z2	z2	PROPN
ejpam-2402	168	12	∂	∂	CCONJ
ejpam-2402	168	13	f	f	PROPN
ejpam-2402	168	14	∂	∂	PROPN
ejpam-2402	168	15	z2	z2	PROPN
ejpam-2402	168	16	�	�	PROPN
ejpam-2402	168	17	z1	z1	PROPN
ejpam-2402	168	18	,	,	PUNCT
ejpam-2402	168	19	z2	z2	PROPN
ejpam-2402	168	20	�	�	PROPN
ejpam-2402	168	21	−	−	PROPN
ejpam-2402	168	22	z2(1−	z2(1−	PROPN
ejpam-2402	168	23	z2	z2	PROPN
ejpam-2402	168	24	)	)	PUNCT
ejpam-2402	168	25	2n	2n	NUM
ejpam-2402	168	26	∂	∂	NUM
ejpam-2402	168	27	2	2	NUM
ejpam-2402	168	28	f	f	NOUN
ejpam-2402	168	29	∂	∂	NOUN
ejpam-2402	168	30	z2	z2	PROPN
ejpam-2402	168	31	2	2	NUM
ejpam-2402	168	32	(	(	PUNCT
ejpam-2402	168	33	z1	z1	PROPN
ejpam-2402	168	34	,	,	PUNCT
ejpam-2402	168	35	z2	z2	PROPN
ejpam-2402	168	36	)	)	PUNCT
ejpam-2402	168	37	�	�	PROPN
ejpam-2402	168	38	+	+	CCONJ
ejpam-2402	168	39	n	n	NUM
ejpam-2402	168	40	2	2	NUM
ejpam-2402	168	41	�	�	PROPN
ejpam-2402	168	42	bn	bn	NOUN
ejpam-2402	168	43	,	,	PUNCT
ejpam-2402	168	44	p	p	PROPN
ejpam-2402	168	45	�	�	PROPN
ejpam-2402	168	46	f	f	PROPN
ejpam-2402	168	47	(	(	PUNCT
ejpam-2402	168	48	.	.	PUNCT
ejpam-2402	168	49	,	,	PUNCT
ejpam-2402	168	50	z2	z2	PROPN
ejpam-2402	168	51	)	)	PUNCT
ejpam-2402	168	52	�	�	PROPN
ejpam-2402	168	53	(	(	PUNCT
ejpam-2402	168	54	z1)−	z1)−	PROPN
ejpam-2402	168	55	f	f	PROPN
ejpam-2402	168	56	(	(	PUNCT
ejpam-2402	168	57	z1	z1	PROPN
ejpam-2402	168	58	,	,	PUNCT
ejpam-2402	168	59	z2)−	z2)−	PROPN
ejpam-2402	168	60	p	p	NOUN
ejpam-2402	168	61	n	n	X
ejpam-2402	168	62	z1	z1	PROPN
ejpam-2402	168	63	∂	∂	NUM
ejpam-2402	168	64	f	f	PROPN
ejpam-2402	168	65	∂	∂	NUM
ejpam-2402	168	66	z1	z1	PROPN
ejpam-2402	168	67	�	�	PROPN
ejpam-2402	168	68	z1	z1	PROPN
ejpam-2402	168	69	,	,	PUNCT
ejpam-2402	168	70	z2	z2	PROPN
ejpam-2402	168	71	�	�	PROPN
ejpam-2402	168	72	−	−	PROPN
ejpam-2402	168	73	z1(1−	z1(1−	X
ejpam-2402	168	74	z1	z1	PROPN
ejpam-2402	168	75	)	)	PUNCT
ejpam-2402	168	76	2n	2n	NUM
ejpam-2402	168	77	∂	∂	NUM
ejpam-2402	168	78	2	2	NUM
ejpam-2402	168	79	f	f	NOUN
ejpam-2402	168	80	∂	∂	NOUN
ejpam-2402	168	81	z2	z2	PROPN
ejpam-2402	168	82	1	1	NUM
ejpam-2402	168	83	(	(	PUNCT
ejpam-2402	168	84	z1	z1	PROPN
ejpam-2402	168	85	,	,	PUNCT
ejpam-2402	168	86	z2	z2	PROPN
ejpam-2402	168	87	)	)	PUNCT
ejpam-2402	168	88	�	�	PROPN
ejpam-2402	169	1	+	+	CCONJ
ejpam-2402	169	2	p	p	X
ejpam-2402	169	3	2n	2n	NUM
ejpam-2402	169	4	z1	z1	PROPN
ejpam-2402	169	5	�	�	PROPN
ejpam-2402	169	6	bn	bn	PROPN
ejpam-2402	169	7	,	,	PUNCT
ejpam-2402	169	8	p	p	PROPN
ejpam-2402	169	9	�	�	PROPN
ejpam-2402	169	10	∂	∂	PROPN
ejpam-2402	169	11	f	f	PROPN
ejpam-2402	169	12	∂	∂	NUM
ejpam-2402	169	13	z1	z1	PROPN
ejpam-2402	169	14	�	�	PROPN
ejpam-2402	169	15	z1	z1	PROPN
ejpam-2402	169	16	,	,	PUNCT
ejpam-2402	169	17	.	.	PUNCT
ejpam-2402	170	1	�	�	PROPN
ejpam-2402	170	2	�	�	PROPN
ejpam-2402	170	3	�	�	PROPN
ejpam-2402	170	4	z2	z2	PROPN
ejpam-2402	170	5	�	�	PROPN
ejpam-2402	170	6	−	−	PROPN
ejpam-2402	170	7	∂	∂	NOUN
ejpam-2402	170	8	f	f	PROPN
ejpam-2402	170	9	∂	∂	NUM
ejpam-2402	170	10	z1	z1	PROPN
ejpam-2402	170	11	�	�	PROPN
ejpam-2402	170	12	z1	z1	PROPN
ejpam-2402	170	13	,	,	PUNCT
ejpam-2402	170	14	z2	z2	PROPN
ejpam-2402	170	15	�	�	PROPN
ejpam-2402	170	16	�	�	PROPN
ejpam-2402	170	17	+	+	PROPN
ejpam-2402	170	18	z2	z2	PROPN
ejpam-2402	170	19	�	�	PROPN
ejpam-2402	170	20	bn	bn	PROPN
ejpam-2402	170	21	,	,	PUNCT
ejpam-2402	170	22	p	p	PROPN
ejpam-2402	170	23	�	�	PROPN
ejpam-2402	170	24	∂	∂	PROPN
ejpam-2402	170	25	f	f	PROPN
ejpam-2402	170	26	∂	∂	PROPN
ejpam-2402	170	27	z2	z2	PROPN
ejpam-2402	170	28	(	(	PUNCT
ejpam-2402	170	29	.	.	NUM
ejpam-2402	170	30	,	,	PUNCT
ejpam-2402	170	31	z2	z2	PROPN
ejpam-2402	170	32	)	)	PUNCT
ejpam-2402	170	33	�	�	PROPN
ejpam-2402	170	34	(	(	PUNCT
ejpam-2402	170	35	z1)−	z1)−	PROPN
ejpam-2402	170	36	∂	∂	PROPN
ejpam-2402	170	37	f	f	PROPN
ejpam-2402	170	38	∂	∂	PROPN
ejpam-2402	170	39	z2	z2	PROPN
ejpam-2402	170	40	�	�	PROPN
ejpam-2402	170	41	z1	z1	PROPN
ejpam-2402	170	42	,	,	PUNCT
ejpam-2402	170	43	z2	z2	PROPN
ejpam-2402	170	44	�	�	PROPN
ejpam-2402	170	45	�	�	PROPN
ejpam-2402	170	46	!	!	PUNCT
ejpam-2402	171	1	+	+	CCONJ
ejpam-2402	171	2	z2(1−	z2(1−	NOUN
ejpam-2402	171	3	z2	z2	NOUN
ejpam-2402	171	4	)	)	PUNCT
ejpam-2402	171	5	4	4	NUM
ejpam-2402	171	6	�	�	PROPN
ejpam-2402	171	7	bn	bn	PROPN
ejpam-2402	171	8	,	,	PUNCT
ejpam-2402	171	9	p	p	PROPN
ejpam-2402	171	10	�	�	PROPN
ejpam-2402	171	11	∂	∂	NUM
ejpam-2402	171	12	2	2	NUM
ejpam-2402	171	13	f	f	NOUN
ejpam-2402	171	14	∂	∂	NOUN
ejpam-2402	171	15	z2	z2	NOUN
ejpam-2402	171	16	2	2	NUM
ejpam-2402	171	17	(	(	PUNCT
ejpam-2402	171	18	.	.	PUNCT
ejpam-2402	171	19	,	,	PUNCT
ejpam-2402	171	20	z2	z2	PROPN
ejpam-2402	171	21	)	)	PUNCT
ejpam-2402	171	22	�	�	PROPN
ejpam-2402	171	23	(	(	PUNCT
ejpam-2402	171	24	z1)−	z1)−	PROPN
ejpam-2402	171	25	∂	∂	NUM
ejpam-2402	171	26	2	2	NUM
ejpam-2402	171	27	f	f	NOUN
ejpam-2402	171	28	∂	∂	NOUN
ejpam-2402	171	29	z2	z2	PROPN
ejpam-2402	171	30	2	2	NUM
ejpam-2402	171	31	(	(	PUNCT
ejpam-2402	171	32	z1	z1	PROPN
ejpam-2402	171	33	,	,	PUNCT
ejpam-2402	171	34	z2)−	z2)−	PROPN
ejpam-2402	171	35	p	p	NOUN
ejpam-2402	171	36	n	n	X
ejpam-2402	171	37	z1	z1	PROPN
ejpam-2402	171	38	∂	∂	NUM
ejpam-2402	171	39	f	f	PROPN
ejpam-2402	171	40	∂	∂	NUM
ejpam-2402	171	41	z1	z1	PROPN
ejpam-2402	171	42	�	�	PROPN
ejpam-2402	171	43	∂	∂	NUM
ejpam-2402	171	44	2	2	NUM
ejpam-2402	171	45	f	f	PROPN
ejpam-2402	171	46	∂	∂	NOUN
ejpam-2402	171	47	z2	z2	PROPN
ejpam-2402	171	48	2	2	NUM
ejpam-2402	171	49	�	�	PROPN
ejpam-2402	171	50	�	�	PROPN
ejpam-2402	171	51	z1	z1	PROPN
ejpam-2402	171	52	,	,	PUNCT
ejpam-2402	171	53	z2	z2	PROPN
ejpam-2402	171	54	�	�	PROPN
ejpam-2402	171	55	�	�	PROPN
ejpam-2402	171	56	+	+	CCONJ
ejpam-2402	171	57	z1(1−	z1(1−	X
ejpam-2402	171	58	z1	z1	NOUN
ejpam-2402	171	59	)	)	PUNCT
ejpam-2402	171	60	4	4	NUM
ejpam-2402	171	61	�	�	PROPN
ejpam-2402	171	62	bn	bn	PROPN
ejpam-2402	171	63	,	,	PUNCT
ejpam-2402	171	64	p	p	PROPN
ejpam-2402	171	65	�	�	PROPN
ejpam-2402	171	66	∂	∂	NUM
ejpam-2402	171	67	2	2	NUM
ejpam-2402	171	68	f	f	NOUN
ejpam-2402	171	69	∂	∂	NOUN
ejpam-2402	171	70	z2	z2	PROPN
ejpam-2402	171	71	1	1	NUM
ejpam-2402	171	72	(	(	PUNCT
ejpam-2402	171	73	z1	z1	PROPN
ejpam-2402	171	74	,	,	PUNCT
ejpam-2402	171	75	.	.	PUNCT
ejpam-2402	171	76	)	)	PUNCT
ejpam-2402	172	1	�	�	PROPN
ejpam-2402	172	2	(	(	PUNCT
ejpam-2402	172	3	z2)−	z2)−	PROPN
ejpam-2402	172	4	∂	∂	NUM
ejpam-2402	172	5	2	2	NUM
ejpam-2402	172	6	f	f	NOUN
ejpam-2402	172	7	∂	∂	NOUN
ejpam-2402	172	8	z2	z2	PROPN
ejpam-2402	172	9	1	1	NUM
ejpam-2402	172	10	(	(	PUNCT
ejpam-2402	172	11	z1	z1	PROPN
ejpam-2402	172	12	,	,	PUNCT
ejpam-2402	172	13	z2)−	z2)−	PROPN
ejpam-2402	172	14	p	p	PROPN
ejpam-2402	172	15	n	n	PROPN
ejpam-2402	172	16	z2	z2	PROPN
ejpam-2402	172	17	∂	∂	NUM
ejpam-2402	172	18	2	2	NUM
ejpam-2402	172	19	f	f	PROPN
ejpam-2402	172	20	∂	∂	NOUN
ejpam-2402	172	21	z2	z2	PROPN
ejpam-2402	172	22	1	1	NUM
ejpam-2402	172	23	�	�	PROPN
ejpam-2402	172	24	∂	∂	PROPN
ejpam-2402	172	25	f	f	PROPN
ejpam-2402	172	26	∂	∂	PROPN
ejpam-2402	172	27	z2	z2	PROPN
ejpam-2402	172	28	�	�	PROPN
ejpam-2402	172	29	�	�	PROPN
ejpam-2402	172	30	z1	z1	PROPN
ejpam-2402	172	31	,	,	PUNCT
ejpam-2402	172	32	z2	z2	PROPN
ejpam-2402	172	33	�	�	PROPN
ejpam-2402	172	34	�	�	PROPN
ejpam-2402	172	35	+	+	CCONJ
ejpam-2402	172	36	z1(1−	z1(1−	PROPN
ejpam-2402	172	37	z1)z2(1−	z1)z2(1−	PROPN
ejpam-2402	172	38	z2	z2	PROPN
ejpam-2402	172	39	)	)	PUNCT
ejpam-2402	172	40	8n	8n	NOUN
ejpam-2402	172	41	∂	∂	NUM
ejpam-2402	172	42	4	4	NUM
ejpam-2402	172	43	f	f	NOUN
ejpam-2402	172	44	∂	∂	NUM
ejpam-2402	172	45	z2	z2	PROPN
ejpam-2402	172	46	1	1	NUM
ejpam-2402	172	47	∂	∂	NUM
ejpam-2402	172	48	z2	z2	NOUN
ejpam-2402	172	49	2	2	NUM
ejpam-2402	172	50	(	(	PUNCT
ejpam-2402	172	51	z1	z1	PROPN
ejpam-2402	172	52	,	,	PUNCT
ejpam-2402	172	53	z2	z2	PROPN
ejpam-2402	172	54	)	)	PUNCT
ejpam-2402	172	55	from	from	ADP
ejpam-2402	172	56	theorem	theorem	ADJ
ejpam-2402	172	57	2.2	2.2	NUM
ejpam-2402	172	58	in	in	ADP
ejpam-2402	172	59	[	[	X
ejpam-2402	172	60	1	1	NUM
ejpam-2402	172	61	]	]	PUNCT
ejpam-2402	172	62	and	and	CCONJ
ejpam-2402	172	63	by	by	ADP
ejpam-2402	172	64	the	the	DET
ejpam-2402	172	65	reasonings	reasoning	NOUN
ejpam-2402	172	66	in	in	ADP
ejpam-2402	172	67	the	the	DET
ejpam-2402	172	68	above	above	ADJ
ejpam-2402	172	69	theorem	theorem	NOUN
ejpam-2402	172	70	2	2	NUM
ejpam-2402	172	71	,	,	PUNCT
ejpam-2402	172	72	it	it	PRON
ejpam-2402	172	73	is	be	AUX
ejpam-2402	172	74	immediate	immediate	ADJ
ejpam-2402	172	75	that	that	SCONJ
ejpam-2402	172	76	rn	rn	PROPN
ejpam-2402	172	77	�	�	PROPN
ejpam-2402	172	78	f	f	PROPN
ejpam-2402	172	79	�	�	PROPN
ejpam-2402	172	80	r1,r2	r1,r2	PROPN
ejpam-2402	172	81	→	→	SYM
ejpam-2402	172	82	0	0	NUM
ejpam-2402	172	83	as	as	ADP
ejpam-2402	172	84	n→∞.	n→∞.	ADJ
ejpam-2402	172	85	also	also	ADV
ejpam-2402	172	86	,	,	PUNCT
ejpam-2402	172	87	by	by	ADP
ejpam-2402	172	88	theorem	theorem	NOUN
ejpam-2402	172	89	2	2	NUM
ejpam-2402	172	90	we	we	PRON
ejpam-2402	172	91	obtain	obtain	VERB
ejpam-2402	172	92	n2	n2	ADJ
ejpam-2402	172	93	4	4	NUM
ejpam-2402	172	94	z2	z2	NUM
ejpam-2402	172	95	lm	lm	PROPN
ejpam-2402	172	96	(	(	PUNCT
ejpam-2402	172	97	f	f	PROPN
ejpam-2402	172	98	)	)	PUNCT
ejpam-2402	172	99	oz1	oz1	ADV
ejpam-2402	172	100	ln	ln	ADJ
ejpam-2402	172	101	(	(	PUNCT
ejpam-2402	172	102	f	f	NOUN
ejpam-2402	172	103	)	)	PUNCT
ejpam-2402	173	1	r1,r2	r1,r2	PROPN
ejpam-2402	173	2	≤	≤	NUM
ejpam-2402	173	3	m	m	VERB
ejpam-2402	173	4	p	p	NOUN
ejpam-2402	173	5	,	,	PUNCT
ejpam-2402	173	6	q	q	X
ejpam-2402	173	7	r1,r2	r1,r2	PROPN
ejpam-2402	173	8	(	(	PUNCT
ejpam-2402	173	9	f	f	PROPN
ejpam-2402	173	10	)	)	PUNCT
ejpam-2402	173	11	2	2	NUM
ejpam-2402	173	12	n.	n.	NOUN
ejpam-2402	173	13	i̇spir	i̇spir	PROPN
ejpam-2402	173	14	,	,	PUNCT
ejpam-2402	173	15	ş.	ş.	ADP
ejpam-2402	173	16	güngör	güngör	PROPN
ejpam-2402	173	17	/	/	SYM
ejpam-2402	173	18	eur	eur	PROPN
ejpam-2402	173	19	.	.	PUNCT
ejpam-2402	174	1	j.	j.	PROPN
ejpam-2402	174	2	pure	pure	PROPN
ejpam-2402	174	3	appl	appl	PROPN
ejpam-2402	174	4	.	.	PROPN
ejpam-2402	174	5	math	math	PROPN
ejpam-2402	174	6	,	,	PUNCT
ejpam-2402	174	7	9	9	NUM
ejpam-2402	174	8	(	(	PUNCT
ejpam-2402	174	9	2016	2016	NUM
ejpam-2402	174	10	)	)	PUNCT
ejpam-2402	174	11	,	,	PUNCT
ejpam-2402	174	12	322	322	NUM
ejpam-2402	174	13	-	-	SYM
ejpam-2402	174	14	332	332	NUM
ejpam-2402	174	15	331	331	NUM
ejpam-2402	174	16	which	which	PRON
ejpam-2402	174	17	implies	imply	VERB
ejpam-2402	174	18	2	2	NUM
ejpam-2402	174	19	n	n	PRON
ejpam-2402	174	20	�	�	PROPN
ejpam-2402	174	21	n2	n2	PROPN
ejpam-2402	174	22	4	4	NUM
ejpam-2402	174	23	�	�	PROPN
ejpam-2402	174	24	z2	z2	PROPN
ejpam-2402	174	25	lm	lm	PROPN
ejpam-2402	174	26	(	(	PUNCT
ejpam-2402	174	27	f	f	PROPN
ejpam-2402	174	28	)	)	PUNCT
ejpam-2402	174	29	oz1	oz1	ADV
ejpam-2402	174	30	ln	ln	ADJ
ejpam-2402	174	31	(	(	PUNCT
ejpam-2402	174	32	f	f	PROPN
ejpam-2402	174	33	)	)	PUNCT
ejpam-2402	174	34	�	�	PROPN
ejpam-2402	174	35	�	�	PROPN
ejpam-2402	174	36	+	+	CCONJ
ejpam-2402	174	37	rn	rn	PROPN
ejpam-2402	174	38	�	�	PROPN
ejpam-2402	174	39	f	f	PROPN
ejpam-2402	174	40	�	�	PROPN
ejpam-2402	174	41	r1,r2	r1,r2	PROPN
ejpam-2402	174	42	→	→	SYM
ejpam-2402	174	43	0	0	NUM
ejpam-2402	174	44	,	,	PUNCT
ejpam-2402	174	45	as	as	ADP
ejpam-2402	174	46	n→∞.	n→∞.	PUNCT
ejpam-2402	174	47	denoting	denote	VERB
ejpam-2402	174	48	h	h	PROPN
ejpam-2402	174	49	�	�	PROPN
ejpam-2402	174	50	z1	z1	PROPN
ejpam-2402	174	51	,	,	PUNCT
ejpam-2402	174	52	z2	z2	PROPN
ejpam-2402	174	53	�	�	PROPN
ejpam-2402	175	1	=	=	PUNCT
ejpam-2402	175	2	p	p	PROPN
ejpam-2402	175	3	2	2	NUM
ejpam-2402	175	4	z1	z1	NOUN
ejpam-2402	175	5	∂	∂	NUM
ejpam-2402	175	6	f	f	PROPN
ejpam-2402	175	7	∂	∂	NOUN
ejpam-2402	175	8	z1	z1	PROPN
ejpam-2402	175	9	+	+	CCONJ
ejpam-2402	175	10	z1(1−	z1(1−	X
ejpam-2402	175	11	z1	z1	NOUN
ejpam-2402	175	12	)	)	PUNCT
ejpam-2402	175	13	4	4	NUM
ejpam-2402	175	14	∂	∂	NUM
ejpam-2402	175	15	2	2	NUM
ejpam-2402	175	16	f	f	NOUN
ejpam-2402	175	17	∂	∂	NOUN
ejpam-2402	175	18	z2	z2	PROPN
ejpam-2402	175	19	1	1	NUM
ejpam-2402	175	20	(	(	PUNCT
ejpam-2402	175	21	z1	z1	PROPN
ejpam-2402	175	22	,	,	PUNCT
ejpam-2402	175	23	z2	z2	PROPN
ejpam-2402	175	24	)	)	PUNCT
ejpam-2402	175	25	+	+	CCONJ
ejpam-2402	175	26	q	q	PROPN
ejpam-2402	175	27	2	2	NUM
ejpam-2402	175	28	z2	z2	PROPN
ejpam-2402	175	29	∂	∂	NUM
ejpam-2402	175	30	f	f	PROPN
ejpam-2402	175	31	∂	∂	PROPN
ejpam-2402	175	32	z2	z2	PROPN
ejpam-2402	175	33	+	+	CCONJ
ejpam-2402	175	34	z2(1−	z2(1−	PROPN
ejpam-2402	175	35	z2	z2	NOUN
ejpam-2402	175	36	)	)	PUNCT
ejpam-2402	175	37	4	4	NUM
ejpam-2402	175	38	∂	∂	NUM
ejpam-2402	175	39	2	2	NUM
ejpam-2402	175	40	f	f	NOUN
ejpam-2402	175	41	∂	∂	NOUN
ejpam-2402	175	42	z2	z2	PROPN
ejpam-2402	175	43	2	2	NUM
ejpam-2402	175	44	(	(	PUNCT
ejpam-2402	175	45	z1	z1	PROPN
ejpam-2402	175	46	,	,	PUNCT
ejpam-2402	175	47	z2	z2	PROPN
ejpam-2402	175	48	)	)	PUNCT
ejpam-2402	175	49	and	and	CCONJ
ejpam-2402	175	50	from	from	ADP
ejpam-2402	175	51	the	the	DET
ejpam-2402	175	52	inequalities	inequality	NOUN
ejpam-2402	175	53	‖f	‖f	ADP
ejpam-2402	175	54	+	+	CCONJ
ejpam-2402	175	55	g‖r1,r2	g‖r1,r2	PROPN
ejpam-2402	175	56	≥	≥	NOUN
ejpam-2402	175	57	�	�	PROPN
ejpam-2402	175	58	�	�	PROPN
ejpam-2402	175	59	‖f‖r1,r2	‖f‖r1,r2	PRON
ejpam-2402	175	60	−	−	PROPN
ejpam-2402	175	61	‖g‖r1,r2	‖g‖r1,r2	PUNCT
ejpam-2402	175	62	�	�	PROPN
ejpam-2402	175	63	�	�	PROPN
ejpam-2402	175	64	≥	≥	PRON
ejpam-2402	175	65	‖f‖r1,r2	‖f‖r1,r2	PRON
ejpam-2402	175	66	−	−	PROPN
ejpam-2402	176	1	‖g‖r1,r2	‖g‖r1,r2	CCONJ
ejpam-2402	177	1	it	it	PRON
ejpam-2402	177	2	follows	follow	VERB
ejpam-2402	177	3	bn	bn	PROPN
ejpam-2402	177	4	,	,	PUNCT
ejpam-2402	177	5	n	n	CCONJ
ejpam-2402	177	6	,	,	PUNCT
ejpam-2402	177	7	p	p	X
ejpam-2402	177	8	,	,	PUNCT
ejpam-2402	177	9	p	p	NOUN
ejpam-2402	177	10	−	−	PROPN
ejpam-2402	177	11	f	f	SYM
ejpam-2402	178	1	r1,r2	r1,r2	PROPN
ejpam-2402	178	2	≥	≥	NOUN
ejpam-2402	178	3	2	2	NUM
ejpam-2402	178	4	n	n	NOUN
ejpam-2402	178	5	¨	¨	NOUN
ejpam-2402	178	6	‖h‖r1,r2	‖h‖r1,r2	NUM
ejpam-2402	178	7	−	−	NOUN
ejpam-2402	178	8	2	2	NUM
ejpam-2402	178	9	n	n	PRON
ejpam-2402	178	10	�	�	PROPN
ejpam-2402	178	11	n2	n2	PROPN
ejpam-2402	178	12	4	4	NUM
ejpam-2402	178	13	�	�	PROPN
ejpam-2402	178	14	z2	z2	PROPN
ejpam-2402	178	15	lm	lm	PROPN
ejpam-2402	178	16	(	(	PUNCT
ejpam-2402	178	17	f	f	PROPN
ejpam-2402	178	18	)	)	PUNCT
ejpam-2402	178	19	oz1	oz1	ADV
ejpam-2402	178	20	ln	ln	ADJ
ejpam-2402	178	21	(	(	PUNCT
ejpam-2402	178	22	f	f	PROPN
ejpam-2402	178	23	)	)	PUNCT
ejpam-2402	178	24	�	�	PROPN
ejpam-2402	178	25	�	�	PROPN
ejpam-2402	178	26	+	+	CCONJ
ejpam-2402	178	27	rn	rn	PROPN
ejpam-2402	178	28	�	�	PROPN
ejpam-2402	178	29	f	f	PROPN
ejpam-2402	178	30	�	�	PROPN
ejpam-2402	178	31	r1,r2	r1,r2	PROPN
ejpam-2402	178	32	«	«	PUNCT
ejpam-2402	178	33	≥	≥	NUM
ejpam-2402	178	34	2	2	NUM
ejpam-2402	178	35	n	n	NUM
ejpam-2402	178	36	1	1	NUM
ejpam-2402	178	37	2	2	NUM
ejpam-2402	178	38	‖h‖r1,r2	‖h‖r1,r2	NUM
ejpam-2402	178	39	=	=	SYM
ejpam-2402	178	40	1	1	NUM
ejpam-2402	178	41	n	n	NUM
ejpam-2402	178	42	‖h‖r1,r2	‖h‖r1,r2	NOUN
ejpam-2402	178	43	,	,	PUNCT
ejpam-2402	178	44	for	for	ADP
ejpam-2402	178	45	all	all	DET
ejpam-2402	178	46	n	n	PRON
ejpam-2402	178	47	≥	≥	NOUN
ejpam-2402	178	48	n0	n0	NUM
ejpam-2402	178	49	,	,	PUNCT
ejpam-2402	178	50	with	with	ADP
ejpam-2402	178	51	n0	n0	NUM
ejpam-2402	178	52	depending	depend	VERB
ejpam-2402	178	53	only	only	ADV
ejpam-2402	178	54	on	on	ADP
ejpam-2402	178	55	f	f	PROPN
ejpam-2402	178	56	,	,	PUNCT
ejpam-2402	178	57	r1	r1	NOUN
ejpam-2402	178	58	and	and	CCONJ
ejpam-2402	178	59	r2	r2	NOUN
ejpam-2402	178	60	.	.	PUNCT
ejpam-2402	179	1	we	we	PRON
ejpam-2402	179	2	used	use	VERB
ejpam-2402	179	3	here	here	ADV
ejpam-2402	179	4	that	that	SCONJ
ejpam-2402	179	5	by	by	ADP
ejpam-2402	179	6	hypothesis	hypothesis	NOUN
ejpam-2402	179	7	we	we	PRON
ejpam-2402	179	8	have	have	VERB
ejpam-2402	179	9	‖h‖r1,r2	‖h‖r1,r2	NUM
ejpam-2402	179	10	>	>	PUNCT
ejpam-2402	179	11	0	0	X
ejpam-2402	179	12	.	.	PUNCT
ejpam-2402	180	1	for	for	ADP
ejpam-2402	180	2	n	n	PRON
ejpam-2402	180	3	∈	∈	PROPN
ejpam-2402	180	4	�	�	PROPN
ejpam-2402	180	5	1,2	1,2	NUM
ejpam-2402	180	6	,	,	PUNCT
ejpam-2402	180	7	.	.	PUNCT
ejpam-2402	180	8	.	.	PUNCT
ejpam-2402	180	9	.	.	PUNCT
ejpam-2402	181	1	n0	n0	NUM
ejpam-2402	182	1	−	−	NOUN
ejpam-2402	182	2	1	1	NUM
ejpam-2402	182	3	it	it	PRON
ejpam-2402	182	4	is	be	AUX
ejpam-2402	182	5	easily	easily	ADV
ejpam-2402	182	6	seen	see	VERB
ejpam-2402	182	7	that	that	SCONJ
ejpam-2402	182	8	bn	bn	NOUN
ejpam-2402	182	9	,	,	PUNCT
ejpam-2402	182	10	n	n	CCONJ
ejpam-2402	182	11	,	,	PUNCT
ejpam-2402	182	12	p	p	X
ejpam-2402	182	13	,	,	PUNCT
ejpam-2402	182	14	p	p	NOUN
ejpam-2402	182	15	−	−	PROPN
ejpam-2402	182	16	f	f	SYM
ejpam-2402	182	17	r1,r2	r1,r2	PROPN
ejpam-2402	182	18	≥	≥	NOUN
ejpam-2402	182	19	ar1,r2,n	ar1,r2,n	PROPN
ejpam-2402	182	20	,	,	PUNCT
ejpam-2402	182	21	p	p	X
ejpam-2402	182	22	(	(	PUNCT
ejpam-2402	182	23	f	f	PROPN
ejpam-2402	182	24	)	)	PUNCT
ejpam-2402	182	25	n	n	CCONJ
ejpam-2402	182	26	with	with	ADP
ejpam-2402	182	27	ar1,r2,n	ar1,r2,n	PROPN
ejpam-2402	182	28	,	,	PUNCT
ejpam-2402	182	29	p	p	PROPN
ejpam-2402	182	30	�	�	PROPN
ejpam-2402	182	31	f	f	PROPN
ejpam-2402	182	32	�	�	PROPN
ejpam-2402	182	33	=	=	SYM
ejpam-2402	182	34	n	n	PRON
ejpam-2402	182	35	bn	bn	NOUN
ejpam-2402	182	36	,	,	PUNCT
ejpam-2402	182	37	n	n	CCONJ
ejpam-2402	182	38	,	,	PUNCT
ejpam-2402	182	39	p	p	X
ejpam-2402	182	40	,	,	PUNCT
ejpam-2402	182	41	p	p	NOUN
ejpam-2402	182	42	−	−	PROPN
ejpam-2402	182	43	f	f	X
ejpam-2402	182	44	r1,r2	r1,r2	PROPN
ejpam-2402	182	45	which	which	PRON
ejpam-2402	182	46	finally	finally	ADV
ejpam-2402	182	47	implies	imply	VERB
ejpam-2402	182	48	(	(	PUNCT
ejpam-2402	182	49	5	5	NUM
ejpam-2402	182	50	)	)	PUNCT
ejpam-2402	182	51	where	where	SCONJ
ejpam-2402	182	52	kr1,r2	kr1,r2	PROPN
ejpam-2402	182	53	,	,	PUNCT
ejpam-2402	182	54	f	f	PROPN
ejpam-2402	182	55	=	=	PROPN
ejpam-2402	182	56	max	max	PROPN
ejpam-2402	182	57	§	§	PROPN
ejpam-2402	182	58	ar1,r2,1,p	ar1,r2,1,p	PROPN
ejpam-2402	182	59	�	�	PROPN
ejpam-2402	182	60	f	f	PROPN
ejpam-2402	182	61	�	�	PROPN
ejpam-2402	182	62	,	,	PUNCT
ejpam-2402	182	63	.	.	PUNCT
ejpam-2402	182	64	.	.	PUNCT
ejpam-2402	183	1	.	.	PUNCT
ejpam-2402	184	1	,	,	PUNCT
ejpam-2402	184	2	ar1,r2,n0−1,p	ar1,r2,n0−1,p	DET
ejpam-2402	184	3	�	�	PROPN
ejpam-2402	184	4	f	f	PROPN
ejpam-2402	184	5	�	�	PROPN
ejpam-2402	184	6	,	,	PUNCT
ejpam-2402	184	7	1	1	NUM
ejpam-2402	184	8	2	2	NUM
ejpam-2402	184	9	‖h‖r1,r2	‖h‖r1,r2	NUM
ejpam-2402	184	10	ª	ª	PRON
ejpam-2402	184	11	.	.	PUNCT
ejpam-2402	185	1	this	this	PRON
ejpam-2402	185	2	completes	complete	VERB
ejpam-2402	185	3	the	the	DET
ejpam-2402	185	4	proof	proof	NOUN
ejpam-2402	185	5	.	.	PUNCT
ejpam-2402	186	1	combining	combine	VERB
ejpam-2402	186	2	now	now	ADV
ejpam-2402	186	3	theorem	theorem	VERB
ejpam-2402	186	4	1	1	NUM
ejpam-2402	186	5	with	with	ADP
ejpam-2402	186	6	theorem	theorem	NOUN
ejpam-2402	186	7	3	3	NUM
ejpam-2402	186	8	we	we	PRON
ejpam-2402	186	9	immediately	immediately	ADV
ejpam-2402	186	10	obtain	obtain	VERB
ejpam-2402	186	11	the	the	DET
ejpam-2402	186	12	following	follow	VERB
ejpam-2402	186	13	exact	exact	ADJ
ejpam-2402	186	14	order	order	NOUN
ejpam-2402	186	15	.	.	PUNCT
ejpam-2402	187	1	corollary	corollary	ADJ
ejpam-2402	187	2	1	1	NUM
ejpam-2402	187	3	.	.	PUNCT
ejpam-2402	188	1	for	for	ADP
ejpam-2402	188	2	fixed	fix	VERB
ejpam-2402	188	3	p	p	NOUN
ejpam-2402	188	4	,	,	PUNCT
ejpam-2402	188	5	q	q	PROPN
ejpam-2402	188	6	∈	∈	PROPN
ejpam-2402	188	7	n∪{0	n∪{0	NOUN
ejpam-2402	188	8	}	}	PUNCT
ejpam-2402	188	9	and	and	CCONJ
ejpam-2402	188	10	r1	r1	PROPN
ejpam-2402	188	11	>	>	PROPN
ejpam-2402	188	12	p+1	p+1	PROPN
ejpam-2402	188	13	,	,	PUNCT
ejpam-2402	188	14	r2	r2	PROPN
ejpam-2402	188	15	>	>	PUNCT
ejpam-2402	188	16	q+1	q+1	NUM
ejpam-2402	188	17	suppose	suppose	VERB
ejpam-2402	188	18	that	that	SCONJ
ejpam-2402	188	19	f	f	PROPN
ejpam-2402	188	20	:	:	PUNCT
ejpam-2402	188	21	p(0	p(0	ADJ
ejpam-2402	188	22	;	;	PUNCT
ejpam-2402	188	23	r)→	r)→	NOUN
ejpam-2402	188	24	c	c	NOUN
ejpam-2402	188	25	is	be	AUX
ejpam-2402	188	26	analytic	analytic	ADJ
ejpam-2402	188	27	in	in	ADP
ejpam-2402	188	28	p(0	p(0	PROPN
ejpam-2402	188	29	;	;	PUNCT
ejpam-2402	189	1	r	r	X
ejpam-2402	189	2	)	)	PUNCT
ejpam-2402	189	3	=	=	SYM
ejpam-2402	189	4	dr1	dr1	PROPN
ejpam-2402	189	5	×	×	PROPN
ejpam-2402	189	6	dr2	dr2	PROPN
ejpam-2402	189	7	,	,	PUNCT
ejpam-2402	189	8	that	that	ADV
ejpam-2402	189	9	is	is	ADV
ejpam-2402	189	10	f	f	PROPN
ejpam-2402	189	11	(	(	PUNCT
ejpam-2402	189	12	z1	z1	PROPN
ejpam-2402	189	13	,	,	PUNCT
ejpam-2402	189	14	z2	z2	NUM
ejpam-2402	189	15	)	)	PUNCT
ejpam-2402	189	16	=	=	NOUN
ejpam-2402	190	1	∑∞	∑∞	NOUN
ejpam-2402	190	2	k=0	k=0	PROPN
ejpam-2402	190	3	∑∞	∑∞	NOUN
ejpam-2402	190	4	j=0	j=0	PROPN
ejpam-2402	190	5	ck	ck	PROPN
ejpam-2402	190	6	,	,	PUNCT
ejpam-2402	190	7	jz	jz	PROPN
ejpam-2402	190	8	k	k	PROPN
ejpam-2402	190	9	1z	1z	PROPN
ejpam-2402	190	10	j	j	PROPN
ejpam-2402	190	11	2	2	NUM
ejpam-2402	190	12	for	for	ADP
ejpam-2402	190	13	all	all	PRON
ejpam-2402	190	14	(	(	PUNCT
ejpam-2402	190	15	z1	z1	PROPN
ejpam-2402	190	16	,	,	PUNCT
ejpam-2402	190	17	z2	z2	PROPN
ejpam-2402	190	18	)	)	PUNCT
ejpam-2402	190	19	∈	∈	PROPN
ejpam-2402	190	20	p(0	p(0	NOUN
ejpam-2402	190	21	;	;	PUNCT
ejpam-2402	190	22	r	r	X
ejpam-2402	190	23	)	)	PUNCT
ejpam-2402	190	24	,	,	PUNCT
ejpam-2402	190	25	r	r	NOUN
ejpam-2402	190	26	=	=	SYM
ejpam-2402	190	27	(	(	PUNCT
ejpam-2402	190	28	r1	r1	PROPN
ejpam-2402	190	29	;	;	PUNCT
ejpam-2402	190	30	r2	r2	PROPN
ejpam-2402	190	31	)	)	PUNCT
ejpam-2402	190	32	.	.	PUNCT
ejpam-2402	191	1	assume	assume	VERB
ejpam-2402	191	2	that	that	SCONJ
ejpam-2402	191	3	1	1	NUM
ejpam-2402	191	4	<	<	X
ejpam-2402	191	5	r1	r1	PROPN
ejpam-2402	191	6	,	,	PUNCT
ejpam-2402	191	7	(	(	PUNCT
ejpam-2402	191	8	p+	p+	VERB
ejpam-2402	191	9	1)r1	1)r1	NUM
ejpam-2402	191	10	<	<	X
ejpam-2402	191	11	r1	r1	PROPN
ejpam-2402	191	12	,	,	PUNCT
ejpam-2402	191	13	1	1	NUM
ejpam-2402	191	14	<	<	X
ejpam-2402	191	15	r2	r2	PROPN
ejpam-2402	191	16	,	,	PUNCT
ejpam-2402	191	17	(	(	PUNCT
ejpam-2402	191	18	q	q	NOUN
ejpam-2402	192	1	+	+	NUM
ejpam-2402	192	2	1)r2	1)r2	NUM
ejpam-2402	192	3	<	<	X
ejpam-2402	192	4	r2	r2	NOUN
ejpam-2402	192	5	.	.	PUNCT
ejpam-2402	193	1	if	if	SCONJ
ejpam-2402	193	2	f	f	PROPN
ejpam-2402	193	3	is	be	AUX
ejpam-2402	193	4	not	not	PART
ejpam-2402	193	5	a	a	DET
ejpam-2402	193	6	solution	solution	NOUN
ejpam-2402	193	7	of	of	ADP
ejpam-2402	193	8	the	the	DET
ejpam-2402	193	9	equation	equation	NOUN
ejpam-2402	193	10	(	(	PUNCT
ejpam-2402	193	11	4	4	NUM
ejpam-2402	193	12	)	)	PUNCT
ejpam-2402	193	13	then	then	ADV
ejpam-2402	193	14	we	we	PRON
ejpam-2402	193	15	have	have	VERB
ejpam-2402	193	16	bn	bn	NUM
ejpam-2402	193	17	,	,	PUNCT
ejpam-2402	193	18	n	n	CCONJ
ejpam-2402	193	19	,	,	PUNCT
ejpam-2402	193	20	p	p	X
ejpam-2402	193	21	,	,	PUNCT
ejpam-2402	193	22	p	p	NOUN
ejpam-2402	193	23	−	−	PROPN
ejpam-2402	193	24	f	f	SYM
ejpam-2402	193	25	r1,r2	r1,r2	PROPN
ejpam-2402	193	26	∼	∼	NOUN
ejpam-2402	193	27	1	1	NUM
ejpam-2402	193	28	n	n	NOUN
ejpam-2402	193	29	for	for	ADP
ejpam-2402	193	30	all	all	DET
ejpam-2402	193	31	n	n	DET
ejpam-2402	193	32	∈	∈	PROPN
ejpam-2402	193	33	n.	n.	NOUN
ejpam-2402	193	34	references	reference	VERB
ejpam-2402	193	35	332	332	NUM
ejpam-2402	193	36	references	reference	NOUN
ejpam-2402	193	37	[	[	X
ejpam-2402	193	38	1	1	NUM
ejpam-2402	193	39	]	]	PUNCT
ejpam-2402	193	40	g.	g.	PROPN
ejpam-2402	193	41	a.	a.	PROPN
ejpam-2402	193	42	anastassiou	anastassiou	PROPN
ejpam-2402	193	43	and	and	CCONJ
ejpam-2402	193	44	s.	s.	PROPN
ejpam-2402	193	45	g.	g.	PROPN
ejpam-2402	193	46	gal	gal	PROPN
ejpam-2402	193	47	.	.	PUNCT
ejpam-2402	194	1	approximation	approximation	NOUN
ejpam-2402	194	2	by	by	ADP
ejpam-2402	194	3	complex	complex	PROPN
ejpam-2402	194	4	bernstein	bernstein	PROPN
ejpam-2402	194	5	schurer	schurer	PROPN
ejpam-2402	194	6	and	and	CCONJ
ejpam-2402	194	7	kantorovich	kantorovich	PROPN
ejpam-2402	194	8	schurer	schurer	PROPN
ejpam-2402	194	9	polynomials	polynomial	NOUN
ejpam-2402	194	10	in	in	ADP
ejpam-2402	194	11	compact	compact	ADJ
ejpam-2402	194	12	disks	disk	NOUN
ejpam-2402	194	13	,	,	PUNCT
ejpam-2402	194	14	computers	computer	NOUN
ejpam-2402	194	15	&	&	CCONJ
ejpam-2402	194	16	mathematics	mathematics	PROPN
ejpam-2402	194	17	with	with	ADP
ejpam-2402	194	18	applications	application	NOUN
ejpam-2402	194	19	,	,	PUNCT
ejpam-2402	194	20	58	58	NUM
ejpam-2402	194	21	,	,	PUNCT
ejpam-2402	194	22	734	734	NUM
ejpam-2402	194	23	-	-	SYM
ejpam-2402	194	24	743	743	NUM
ejpam-2402	194	25	.	.	PUNCT
ejpam-2402	194	26	2009	2009	NUM
ejpam-2402	194	27	.	.	PUNCT
ejpam-2402	195	1	[	[	X
ejpam-2402	195	2	2	2	X
ejpam-2402	195	3	]	]	PUNCT
ejpam-2402	195	4	d.	d.	PROPN
ejpam-2402	195	5	barbosu	barbosu	PROPN
ejpam-2402	195	6	.	.	PUNCT
ejpam-2402	196	1	bivariate	bivariate	ADJ
ejpam-2402	196	2	operators	operator	NOUN
ejpam-2402	196	3	of	of	ADP
ejpam-2402	196	4	schurer	schurer	NOUN
ejpam-2402	196	5	-	-	PUNCT
ejpam-2402	196	6	stancu	stancu	NOUN
ejpam-2402	196	7	type	type	NOUN
ejpam-2402	196	8	,	,	PUNCT
ejpam-2402	196	9	analele	analele	VERB
ejpam-2402	196	10	stiintifice	stiintifice	NOUN
ejpam-2402	196	11	ale	ale	PROPN
ejpam-2402	196	12	universitatii	universitatii	PROPN
ejpam-2402	196	13	ovidius	ovidius	PROPN
ejpam-2402	196	14	constanta	constanta	PROPN
ejpam-2402	196	15	,	,	PUNCT
ejpam-2402	196	16	11(1	11(1	NUM
ejpam-2402	196	17	)	)	PUNCT
ejpam-2402	196	18	,	,	PUNCT
ejpam-2402	196	19	1	1	NUM
ejpam-2402	196	20	-	-	SYM
ejpam-2402	196	21	8	8	NUM
ejpam-2402	196	22	.	.	PUNCT
ejpam-2402	196	23	2003	2003	NUM
ejpam-2402	196	24	.	.	PUNCT
ejpam-2402	197	1	[	[	X
ejpam-2402	197	2	3	3	X
ejpam-2402	197	3	]	]	PUNCT
ejpam-2402	197	4	d.	d.	PROPN
ejpam-2402	197	5	barbosu	barbosu	PROPN
ejpam-2402	197	6	.	.	PUNCT
ejpam-2402	198	1	on	on	ADP
ejpam-2402	198	2	the	the	DET
ejpam-2402	198	3	schurer	schurer	NOUN
ejpam-2402	198	4	-	-	PUNCT
ejpam-2402	198	5	stancu	stancu	ADJ
ejpam-2402	198	6	approximation	approximation	NOUN
ejpam-2402	198	7	formula	formula	NOUN
ejpam-2402	198	8	,	,	PUNCT
ejpam-2402	198	9	carpathian	carpathian	ADJ
ejpam-2402	198	10	journal	journal	NOUN
ejpam-2402	198	11	of	of	ADP
ejpam-2402	198	12	mathematics	mathematic	NOUN
ejpam-2402	198	13	,	,	PUNCT
ejpam-2402	198	14	21(1	21(1	NUM
ejpam-2402	198	15	2	2	NUM
ejpam-2402	198	16	)	)	PUNCT
ejpam-2402	198	17	,	,	PUNCT
ejpam-2402	198	18	7	7	NUM
ejpam-2402	198	19	12	12	NUM
ejpam-2402	198	20	.	.	PUNCT
ejpam-2402	198	21	2005	2005	NUM
ejpam-2402	198	22	.	.	PUNCT
ejpam-2402	199	1	[	[	X
ejpam-2402	199	2	4	4	X
ejpam-2402	199	3	]	]	X
ejpam-2402	199	4	d.	d.	PROPN
ejpam-2402	199	5	barbosu	barbosu	PROPN
ejpam-2402	199	6	and	and	CCONJ
ejpam-2402	199	7	t.	t.	PROPN
ejpam-2402	199	8	o.	o.	PROPN
ejpam-2402	199	9	pop	pop	PROPN
ejpam-2402	199	10	.	.	PUNCT
ejpam-2402	200	1	bivariate	bivariate	ADJ
ejpam-2402	200	2	schurer	schurer	NOUN
ejpam-2402	200	3	-	-	PUNCT
ejpam-2402	200	4	stancu	stancu	ADJ
ejpam-2402	200	5	operators	operator	NOUN
ejpam-2402	200	6	revisited	revisit	VERB
ejpam-2402	200	7	,	,	PUNCT
ejpam-2402	200	8	carpathian	carpathian	ADJ
ejpam-2402	200	9	journal	journal	NOUN
ejpam-2402	200	10	of	of	ADP
ejpam-2402	200	11	mathematics	mathematic	NOUN
ejpam-2402	200	12	,	,	PUNCT
ejpam-2402	200	13	26(1	26(1	NUM
ejpam-2402	200	14	)	)	PUNCT
ejpam-2402	200	15	,	,	PUNCT
ejpam-2402	200	16	24	24	NUM
ejpam-2402	200	17	35	35	NUM
ejpam-2402	200	18	.	.	PUNCT
ejpam-2402	201	1	2010	2010	NUM
ejpam-2402	201	2	.	.	PUNCT
ejpam-2402	202	1	[	[	X
ejpam-2402	202	2	5	5	X
ejpam-2402	202	3	]	]	PUNCT
ejpam-2402	202	4	s.	s.	PROPN
ejpam-2402	202	5	g.	g.	PROPN
ejpam-2402	202	6	gal	gal	PROPN
ejpam-2402	202	7	.	.	PUNCT
ejpam-2402	203	1	approximation	approximation	NOUN
ejpam-2402	203	2	by	by	ADP
ejpam-2402	203	3	complex	complex	ADJ
ejpam-2402	203	4	bernstein	bernstein	PROPN
ejpam-2402	203	5	and	and	CCONJ
ejpam-2402	203	6	convolution	convolution	NOUN
ejpam-2402	203	7	type	type	NOUN
ejpam-2402	203	8	operators	operator	NOUN
ejpam-2402	203	9	,	,	PUNCT
ejpam-2402	203	10	series	series	NOUN
ejpam-2402	203	11	on	on	ADP
ejpam-2402	203	12	concrete	concrete	ADJ
ejpam-2402	203	13	and	and	CCONJ
ejpam-2402	203	14	applicable	applicable	ADJ
ejpam-2402	203	15	mathematics	mathematic	NOUN
ejpam-2402	203	16	,	,	PUNCT
ejpam-2402	203	17	8	8	NUM
ejpam-2402	203	18	.	.	PUNCT
ejpam-2402	204	1	world	world	NOUN
ejpam-2402	204	2	scientific	scientific	ADJ
ejpam-2402	204	3	publishing	publish	VERB
ejpam-2402	204	4	private	private	ADJ
ejpam-2402	204	5	limited	limited	ADJ
ejpam-2402	204	6	company	company	NOUN
ejpam-2402	204	7	,	,	PUNCT
ejpam-2402	204	8	hackensack	hackensack	PROPN
ejpam-2402	204	9	,	,	PUNCT
ejpam-2402	204	10	nj	nj	PROPN
ejpam-2402	204	11	,	,	PUNCT
ejpam-2402	204	12	xii+337	xii+337	ADV
ejpam-2402	204	13	.	.	PUNCT
ejpam-2402	204	14	2009	2009	NUM
ejpam-2402	204	15	.	.	PUNCT
ejpam-2402	205	1	[	[	X
ejpam-2402	205	2	6	6	NUM
ejpam-2402	205	3	]	]	X
ejpam-2402	205	4	g.	g.	PROPN
ejpam-2402	205	5	g.	g.	PROPN
ejpam-2402	205	6	lorentz	lorentz	PROPN
ejpam-2402	205	7	.	.	PUNCT
ejpam-2402	206	1	bernstein	bernstein	PROPN
ejpam-2402	206	2	polynomials	polynomials	PROPN
ejpam-2402	206	3	,	,	PUNCT
ejpam-2402	206	4	2nd	2nd	PROPN
ejpam-2402	206	5	edition	edition	NOUN
ejpam-2402	206	6	,	,	PUNCT
ejpam-2402	206	7	chelsea	chelsea	PROPN
ejpam-2402	206	8	publication	publication	NOUN
ejpam-2402	206	9	,	,	PUNCT
ejpam-2402	206	10	new	new	PROPN
ejpam-2402	206	11	york	york	PROPN
ejpam-2402	206	12	,	,	PUNCT
ejpam-2402	206	13	1986	1986	NUM
ejpam-2402	206	14	.	.	PUNCT
ejpam-2402	207	1	[	[	X
ejpam-2402	207	2	7	7	X
ejpam-2402	207	3	]	]	X
ejpam-2402	207	4	f.	f.	NOUN
ejpam-2402	207	5	schurer	schurer	PROPN
ejpam-2402	207	6	.	.	PUNCT
ejpam-2402	208	1	on	on	ADP
ejpam-2402	208	2	linear	linear	PROPN
ejpam-2402	208	3	positive	positive	ADJ
ejpam-2402	208	4	operators	operator	NOUN
ejpam-2402	208	5	in	in	ADP
ejpam-2402	208	6	approximation	approximation	NOUN
ejpam-2402	208	7	theory	theory	NOUN
ejpam-2402	208	8	,	,	PUNCT
ejpam-2402	208	9	mathematical	mathematical	PROPN
ejpam-2402	208	10	institute	institute	PROPN
ejpam-2402	208	11	of	of	ADP
ejpam-2402	208	12	the	the	DET
ejpam-2402	208	13	technological	technological	ADJ
ejpam-2402	208	14	university	university	NOUN
ejpam-2402	208	15	delft	delft	NOUN
ejpam-2402	208	16	report	report	NOUN
ejpam-2402	208	17	,	,	PUNCT
ejpam-2402	208	18	1962	1962	NUM
ejpam-2402	208	19	.	.	PUNCT