id	sid	tid	token	lemma	pos
ejpam-3663	1	1	european	european	PROPN
ejpam-3663	1	2	journal	journal	PROPN
ejpam-3663	1	3	of	of	ADP
ejpam-3663	1	4	pure	pure	ADJ
ejpam-3663	1	5	and	and	CCONJ
ejpam-3663	1	6	applied	apply	VERB
ejpam-3663	1	7	mathematics	mathematic	NOUN
ejpam-3663	1	8	vol	vol	NOUN
ejpam-3663	1	9	.	.	PROPN
ejpam-3663	2	1	13	13	NUM
ejpam-3663	2	2	,	,	PUNCT
ejpam-3663	2	3	no	no	INTJ
ejpam-3663	2	4	.	.	NOUN
ejpam-3663	2	5	3	3	NUM
ejpam-3663	2	6	,	,	PUNCT
ejpam-3663	2	7	2020	2020	NUM
ejpam-3663	2	8	,	,	PUNCT
ejpam-3663	2	9	567	567	NUM
ejpam-3663	2	10	-	-	SYM
ejpam-3663	2	11	578	578	NUM
ejpam-3663	2	12	issn	issn	PROPN
ejpam-3663	2	13	1307	1307	NUM
ejpam-3663	2	14	-	-	SYM
ejpam-3663	2	15	5543	5543	NUM
ejpam-3663	2	16	–	–	PUNCT
ejpam-3663	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3663	2	18	published	publish	VERB
ejpam-3663	2	19	by	by	ADP
ejpam-3663	2	20	new	new	PROPN
ejpam-3663	2	21	york	york	PROPN
ejpam-3663	2	22	business	business	PROPN
ejpam-3663	2	23	global	global	ADJ
ejpam-3663	2	24	approximation	approximation	NOUN
ejpam-3663	2	25	of	of	ADP
ejpam-3663	2	26	a	a	DET
ejpam-3663	2	27	function	function	NOUN
ejpam-3663	2	28	in	in	ADP
ejpam-3663	2	29	hölder	hölder	NOUN
ejpam-3663	2	30	class	class	NOUN
ejpam-3663	2	31	using	use	VERB
ejpam-3663	2	32	double	double	ADJ
ejpam-3663	2	33	karamata	karamata	NOUN
ejpam-3663	2	34	(	(	PUNCT
ejpam-3663	2	35	kλ,µ	kλ,µ	NOUN
ejpam-3663	2	36	)	)	PUNCT
ejpam-3663	2	37	method	method	PROPN
ejpam-3663	2	38	h.	h.	PROPN
ejpam-3663	2	39	k.	k.	PROPN
ejpam-3663	2	40	nigam1	nigam1	PROPN
ejpam-3663	2	41	,	,	PUNCT
ejpam-3663	2	42	md	md	PROPN
ejpam-3663	2	43	hadish1,∗	hadish1,∗	PROPN
ejpam-3663	2	44	1	1	NUM
ejpam-3663	2	45	department	department	NOUN
ejpam-3663	2	46	of	of	ADP
ejpam-3663	2	47	mathematics	mathematic	NOUN
ejpam-3663	2	48	,	,	PUNCT
ejpam-3663	2	49	cental	cental	PROPN
ejpam-3663	2	50	university	university	PROPN
ejpam-3663	2	51	of	of	ADP
ejpam-3663	2	52	south	south	PROPN
ejpam-3663	2	53	bihar	bihar	PROPN
ejpam-3663	2	54	,	,	PUNCT
ejpam-3663	2	55	gaya	gaya	PROPN
ejpam-3663	2	56	,	,	PUNCT
ejpam-3663	2	57	bihar	bihar	PROPN
ejpam-3663	2	58	,	,	PUNCT
ejpam-3663	2	59	india	india	PROPN
ejpam-3663	2	60	abstract	abstract	NOUN
ejpam-3663	2	61	.	.	PUNCT
ejpam-3663	3	1	in	in	ADP
ejpam-3663	3	2	this	this	DET
ejpam-3663	3	3	paper	paper	NOUN
ejpam-3663	3	4	,	,	PUNCT
ejpam-3663	3	5	we	we	PRON
ejpam-3663	3	6	establish	establish	VERB
ejpam-3663	3	7	a	a	DET
ejpam-3663	3	8	new	new	ADJ
ejpam-3663	3	9	theorem	theorem	NOUN
ejpam-3663	3	10	on	on	ADP
ejpam-3663	3	11	the	the	DET
ejpam-3663	3	12	best	good	ADJ
ejpam-3663	3	13	approximation	approximation	NOUN
ejpam-3663	3	14	of	of	ADP
ejpam-3663	3	15	a	a	DET
ejpam-3663	3	16	function	function	NOUN
ejpam-3663	3	17	of	of	ADP
ejpam-3663	3	18	two	two	NUM
ejpam-3663	3	19	variables	variable	NOUN
ejpam-3663	3	20	belonging	belong	VERB
ejpam-3663	3	21	to	to	ADP
ejpam-3663	3	22	hölder	hölder	NOUN
ejpam-3663	3	23	class	class	NOUN
ejpam-3663	3	24	by	by	ADP
ejpam-3663	3	25	double	double	ADJ
ejpam-3663	3	26	karamata	karamata	NOUN
ejpam-3663	3	27	(	(	PUNCT
ejpam-3663	3	28	kλ,µ	kλ,µ	NOUN
ejpam-3663	3	29	)	)	PUNCT
ejpam-3663	3	30	means	mean	NOUN
ejpam-3663	3	31	of	of	ADP
ejpam-3663	3	32	its	its	PRON
ejpam-3663	3	33	double	double	ADJ
ejpam-3663	3	34	fourier	fourier	NOUN
ejpam-3663	3	35	series	series	NOUN
ejpam-3663	3	36	.	.	PUNCT
ejpam-3663	4	1	2020	2020	NUM
ejpam-3663	4	2	mathematics	mathematics	PROPN
ejpam-3663	4	3	subject	subject	NOUN
ejpam-3663	4	4	classifications	classification	NOUN
ejpam-3663	4	5	:	:	PUNCT
ejpam-3663	4	6	40c10	40c10	NUM
ejpam-3663	4	7	,	,	PUNCT
ejpam-3663	4	8	40g05	40g05	NUM
ejpam-3663	4	9	,	,	PUNCT
ejpam-3663	4	10	40g10	40g10	NUM
ejpam-3663	4	11	,	,	PUNCT
ejpam-3663	4	12	42a10	42a10	NUM
ejpam-3663	4	13	,	,	PUNCT
ejpam-3663	4	14	42a24	42a24	NUM
ejpam-3663	4	15	,	,	PUNCT
ejpam-3663	4	16	40c05	40c05	NUM
ejpam-3663	4	17	,	,	PUNCT
ejpam-3663	4	18	41a25	41a25	NUM
ejpam-3663	4	19	,	,	PUNCT
ejpam-3663	4	20	42b05	42b05	NUM
ejpam-3663	4	21	key	key	ADJ
ejpam-3663	4	22	words	word	NOUN
ejpam-3663	4	23	and	and	CCONJ
ejpam-3663	4	24	phrases	phrase	NOUN
ejpam-3663	4	25	:	:	PUNCT
ejpam-3663	4	26	hölder	hölder	NOUN
ejpam-3663	4	27	class	class	NOUN
ejpam-3663	4	28	,	,	PUNCT
ejpam-3663	4	29	double	double	ADJ
ejpam-3663	4	30	karamata	karamata	NOUN
ejpam-3663	4	31	(	(	PUNCT
ejpam-3663	4	32	kλ,µ	kλ,µ	NOUN
ejpam-3663	4	33	)	)	PUNCT
ejpam-3663	4	34	,	,	PUNCT
ejpam-3663	4	35	double	double	ADJ
ejpam-3663	4	36	fourier	fourier	NOUN
ejpam-3663	4	37	series	series	NOUN
ejpam-3663	4	38	,	,	PUNCT
ejpam-3663	4	39	stirling	stirling	NOUN
ejpam-3663	4	40	numbers	number	NOUN
ejpam-3663	4	41	,	,	PUNCT
ejpam-3663	4	42	error	error	NOUN
ejpam-3663	4	43	approximation	approximation	NOUN
ejpam-3663	4	44	.	.	PUNCT
ejpam-3663	5	1	1	1	X
ejpam-3663	5	2	.	.	X
ejpam-3663	5	3	introduction	introduction	NOUN
ejpam-3663	5	4	kλ	kλ	NOUN
ejpam-3663	5	5	-	-	PUNCT
ejpam-3663	5	6	method	method	NOUN
ejpam-3663	5	7	was	be	AUX
ejpam-3663	5	8	first	first	ADV
ejpam-3663	5	9	introduced	introduce	VERB
ejpam-3663	5	10	by	by	ADP
ejpam-3663	5	11	karamata	karamata	NOUN
ejpam-3663	5	12	[	[	X
ejpam-3663	5	13	7	7	NUM
ejpam-3663	5	14	]	]	PUNCT
ejpam-3663	5	15	.	.	PUNCT
ejpam-3663	6	1	lotosky	lotosky	PROPN
ejpam-3663	6	2	[	[	X
ejpam-3663	6	3	10	10	NUM
ejpam-3663	6	4	]	]	X
ejpam-3663	6	5	re	re	VERB
ejpam-3663	6	6	-	-	VERB
ejpam-3663	6	7	introduced	introduce	VERB
ejpam-3663	6	8	the	the	DET
ejpam-3663	6	9	special	special	ADJ
ejpam-3663	6	10	case	case	NOUN
ejpam-3663	6	11	λ	λ	X
ejpam-3663	6	12	=	=	SYM
ejpam-3663	6	13	1	1	NUM
ejpam-3663	6	14	.	.	PUNCT
ejpam-3663	7	1	only	only	ADV
ejpam-3663	7	2	after	after	ADP
ejpam-3663	7	3	the	the	DET
ejpam-3663	7	4	study	study	NOUN
ejpam-3663	7	5	of	of	ADP
ejpam-3663	7	6	agnew	agnew	PROPN
ejpam-3663	8	1	[	[	X
ejpam-3663	8	2	1	1	NUM
ejpam-3663	8	3	]	]	PUNCT
ejpam-3663	8	4	,	,	PUNCT
ejpam-3663	8	5	an	an	DET
ejpam-3663	8	6	intensive	intensive	ADJ
ejpam-3663	8	7	study	study	NOUN
ejpam-3663	8	8	of	of	ADP
ejpam-3663	8	9	these	these	DET
ejpam-3663	8	10	and	and	CCONJ
ejpam-3663	8	11	similar	similar	ADJ
ejpam-3663	8	12	cases	case	NOUN
ejpam-3663	8	13	took	take	VERB
ejpam-3663	8	14	place	place	NOUN
ejpam-3663	8	15	.	.	PUNCT
ejpam-3663	9	1	vuĉkoviĉ	vuĉkoviĉ	NOUN
ejpam-3663	10	1	[	[	X
ejpam-3663	10	2	19	19	NUM
ejpam-3663	10	3	]	]	PUNCT
ejpam-3663	10	4	applied	apply	VERB
ejpam-3663	10	5	this	this	DET
ejpam-3663	10	6	method	method	NOUN
ejpam-3663	10	7	for	for	ADP
ejpam-3663	10	8	summability	summability	NOUN
ejpam-3663	10	9	of	of	ADP
ejpam-3663	10	10	fourier	fourier	ADJ
ejpam-3663	10	11	series	series	NOUN
ejpam-3663	10	12	.	.	PUNCT
ejpam-3663	11	1	kathal[8	kathal[8	X
ejpam-3663	11	2	]	]	PUNCT
ejpam-3663	11	3	extended	extend	VERB
ejpam-3663	11	4	the	the	DET
ejpam-3663	11	5	result	result	NOUN
ejpam-3663	11	6	of	of	ADP
ejpam-3663	11	7	vuĉkoviĉ	vuĉkoviĉ	NOUN
ejpam-3663	11	8	[	[	X
ejpam-3663	11	9	19	19	NUM
ejpam-3663	11	10	]	]	PUNCT
ejpam-3663	11	11	.	.	PUNCT
ejpam-3663	12	1	the	the	DET
ejpam-3663	12	2	approximation	approximation	NOUN
ejpam-3663	12	3	of	of	ADP
ejpam-3663	12	4	a	a	DET
ejpam-3663	12	5	2π	2π	NOUN
ejpam-3663	12	6	-	-	ADJ
ejpam-3663	12	7	periodic	periodic	ADJ
ejpam-3663	12	8	function	function	NOUN
ejpam-3663	12	9	f(x	f(x	PROPN
ejpam-3663	12	10	)	)	PUNCT
ejpam-3663	12	11	in	in	ADP
ejpam-3663	12	12	different	different	ADJ
ejpam-3663	12	13	lipschitz	lipschitz	NOUN
ejpam-3663	12	14	classes	class	NOUN
ejpam-3663	12	15	using	use	VERB
ejpam-3663	12	16	cesàro	cesàro	PROPN
ejpam-3663	12	17	,	,	PUNCT
ejpam-3663	12	18	nörlund	nörlund	NOUN
ejpam-3663	12	19	and	and	CCONJ
ejpam-3663	12	20	kλ	kλ	ADP
ejpam-3663	12	21	summability	summability	NOUN
ejpam-3663	12	22	methods	method	NOUN
ejpam-3663	12	23	of	of	ADP
ejpam-3663	12	24	fourier	fourier	ADJ
ejpam-3663	12	25	series	series	NOUN
ejpam-3663	12	26	and	and	CCONJ
ejpam-3663	12	27	conjugate	conjugate	ADJ
ejpam-3663	12	28	fourier	fourier	NOUN
ejpam-3663	12	29	series	series	NOUN
ejpam-3663	12	30	has	have	AUX
ejpam-3663	12	31	been	be	AUX
ejpam-3663	12	32	studied	study	VERB
ejpam-3663	12	33	by	by	ADP
ejpam-3663	12	34	the	the	DET
ejpam-3663	12	35	researchers	researcher	NOUN
ejpam-3663	12	36	[	[	X
ejpam-3663	12	37	2	2	NUM
ejpam-3663	12	38	,	,	PUNCT
ejpam-3663	12	39	5	5	NUM
ejpam-3663	12	40	,	,	PUNCT
ejpam-3663	12	41	6	6	NUM
ejpam-3663	12	42	,	,	PUNCT
ejpam-3663	12	43	12	12	NUM
ejpam-3663	12	44	,	,	PUNCT
ejpam-3663	12	45	14–16	14–16	NUM
ejpam-3663	12	46	]	]	PUNCT
ejpam-3663	12	47	.	.	PUNCT
ejpam-3663	13	1	the	the	DET
ejpam-3663	13	2	approximation	approximation	NOUN
ejpam-3663	13	3	of	of	ADP
ejpam-3663	13	4	a	a	DET
ejpam-3663	13	5	2π	2π	NOUN
ejpam-3663	13	6	-	-	ADJ
ejpam-3663	13	7	periodic	periodic	ADJ
ejpam-3663	13	8	function	function	NOUN
ejpam-3663	13	9	f(x	f(x	PROPN
ejpam-3663	13	10	)	)	PUNCT
ejpam-3663	13	11	in	in	ADP
ejpam-3663	13	12	hölder	hölder	NOUN
ejpam-3663	13	13	metric	metric	NOUN
ejpam-3663	13	14	by	by	ADP
ejpam-3663	13	15	different	different	ADJ
ejpam-3663	13	16	summability	summability	NOUN
ejpam-3663	13	17	transforms	transform	NOUN
ejpam-3663	13	18	of	of	ADP
ejpam-3663	13	19	fourier	fouri	ADJ
ejpam-3663	13	20	series	series	NOUN
ejpam-3663	13	21	has	have	AUX
ejpam-3663	13	22	been	be	AUX
ejpam-3663	13	23	studied	study	VERB
ejpam-3663	13	24	by	by	ADP
ejpam-3663	13	25	the	the	DET
ejpam-3663	13	26	researchers	researcher	NOUN
ejpam-3663	13	27	like	like	ADP
ejpam-3663	13	28	[	[	X
ejpam-3663	13	29	4	4	NUM
ejpam-3663	13	30	,	,	PUNCT
ejpam-3663	13	31	11	11	NUM
ejpam-3663	13	32	,	,	PUNCT
ejpam-3663	13	33	13	13	NUM
ejpam-3663	13	34	]	]	PUNCT
ejpam-3663	13	35	.	.	PUNCT
ejpam-3663	14	1	the	the	DET
ejpam-3663	14	2	approximation	approximation	NOUN
ejpam-3663	14	3	of	of	ADP
ejpam-3663	14	4	a	a	DET
ejpam-3663	14	5	function	function	NOUN
ejpam-3663	14	6	f(x	f(x	PROPN
ejpam-3663	14	7	,	,	PUNCT
ejpam-3663	14	8	y	y	PROPN
ejpam-3663	14	9	)	)	PUNCT
ejpam-3663	14	10	(	(	PUNCT
ejpam-3663	14	11	2π	2π	NOUN
ejpam-3663	14	12	-	-	NOUN
ejpam-3663	14	13	periodic	periodic	ADJ
ejpam-3663	14	14	with	with	ADP
ejpam-3663	14	15	respect	respect	NOUN
ejpam-3663	14	16	to	to	ADP
ejpam-3663	14	17	the	the	DET
ejpam-3663	14	18	variables	variable	NOUN
ejpam-3663	14	19	x	x	NOUN
ejpam-3663	14	20	,	,	PUNCT
ejpam-3663	14	21	y	y	PROPN
ejpam-3663	14	22	)	)	PUNCT
ejpam-3663	14	23	of	of	ADP
ejpam-3663	14	24	their	their	PRON
ejpam-3663	14	25	fourier	fourier	NOUN
ejpam-3663	14	26	series	series	NOUN
ejpam-3663	14	27	has	have	AUX
ejpam-3663	14	28	been	be	AUX
ejpam-3663	14	29	studied	study	VERB
ejpam-3663	14	30	by	by	ADP
ejpam-3663	14	31	[	[	X
ejpam-3663	14	32	17	17	NUM
ejpam-3663	14	33	,	,	PUNCT
ejpam-3663	14	34	18	18	NUM
ejpam-3663	14	35	]	]	PUNCT
ejpam-3663	14	36	.	.	PUNCT
ejpam-3663	15	1	lal	lal	PROPN
ejpam-3663	16	1	[	[	X
ejpam-3663	16	2	9	9	NUM
ejpam-3663	16	3	]	]	PUNCT
ejpam-3663	16	4	studied	study	VERB
ejpam-3663	16	5	the	the	DET
ejpam-3663	16	6	approximation	approximation	NOUN
ejpam-3663	16	7	of	of	ADP
ejpam-3663	16	8	a	a	DET
ejpam-3663	16	9	function	function	NOUN
ejpam-3663	16	10	in	in	ADP
ejpam-3663	16	11	lipschitz	lipschitz	NOUN
ejpam-3663	16	12	class	class	NOUN
ejpam-3663	16	13	by	by	ADP
ejpam-3663	16	14	matrix	matrix	NOUN
ejpam-3663	16	15	means	mean	NOUN
ejpam-3663	16	16	of	of	ADP
ejpam-3663	16	17	its	its	PRON
ejpam-3663	16	18	double	double	ADJ
ejpam-3663	16	19	fourier	fourier	NOUN
ejpam-3663	16	20	series	series	NOUN
ejpam-3663	16	21	.	.	PUNCT
ejpam-3663	17	1	but	but	CCONJ
ejpam-3663	17	2	nothing	nothing	PRON
ejpam-3663	17	3	seems	seem	VERB
ejpam-3663	17	4	to	to	PART
ejpam-3663	17	5	have	have	AUX
ejpam-3663	17	6	done	do	VERB
ejpam-3663	17	7	to	to	PART
ejpam-3663	17	8	obtain	obtain	VERB
ejpam-3663	17	9	the	the	DET
ejpam-3663	17	10	best	good	ADJ
ejpam-3663	17	11	approximation	approximation	NOUN
ejpam-3663	17	12	of	of	ADP
ejpam-3663	17	13	the	the	DET
ejpam-3663	17	14	function	function	NOUN
ejpam-3663	17	15	f(x	f(x	PROPN
ejpam-3663	17	16	,	,	PUNCT
ejpam-3663	17	17	y	y	PROPN
ejpam-3663	17	18	)	)	PUNCT
ejpam-3663	17	19	,	,	PUNCT
ejpam-3663	17	20	a	a	DET
ejpam-3663	17	21	2π	2π	NOUN
ejpam-3663	17	22	-	-	NOUN
ejpam-3663	17	23	periodic	periodic	ADJ
ejpam-3663	17	24	with	with	ADP
ejpam-3663	17	25	respect	respect	NOUN
ejpam-3663	17	26	to	to	ADP
ejpam-3663	17	27	the	the	DET
ejpam-3663	17	28	variable	variable	ADJ
ejpam-3663	17	29	x	x	NOUN
ejpam-3663	17	30	,	,	PUNCT
ejpam-3663	17	31	y	y	PROPN
ejpam-3663	17	32	,	,	PUNCT
ejpam-3663	17	33	of	of	ADP
ejpam-3663	17	34	its	its	PRON
ejpam-3663	17	35	double	double	ADJ
ejpam-3663	17	36	fourier	fourier	NOUN
ejpam-3663	17	37	series	series	NOUN
ejpam-3663	17	38	.	.	PUNCT
ejpam-3663	18	1	thus	thus	ADV
ejpam-3663	18	2	,	,	PUNCT
ejpam-3663	18	3	in	in	ADP
ejpam-3663	18	4	this	this	DET
ejpam-3663	18	5	paper	paper	NOUN
ejpam-3663	18	6	,	,	PUNCT
ejpam-3663	18	7	we	we	PRON
ejpam-3663	18	8	obtain	obtain	VERB
ejpam-3663	18	9	the	the	DET
ejpam-3663	18	10	best	good	ADJ
ejpam-3663	18	11	approximation	approximation	NOUN
ejpam-3663	18	12	of	of	ADP
ejpam-3663	18	13	the	the	DET
ejpam-3663	18	14	function	function	NOUN
ejpam-3663	18	15	h(ζ	h(ζ	PROPN
ejpam-3663	18	16	,	,	PUNCT
ejpam-3663	18	17	θ	θ	PROPN
ejpam-3663	18	18	)	)	PUNCT
ejpam-3663	18	19	in	in	ADP
ejpam-3663	18	20	hölder	hölder	NOUN
ejpam-3663	18	21	class	class	NOUN
ejpam-3663	18	22	by	by	ADP
ejpam-3663	18	23	kλ,µ	kλ,µ	PROPN
ejpam-3663	18	24	method	method	NOUN
ejpam-3663	18	25	of	of	ADP
ejpam-3663	18	26	its	its	PRON
ejpam-3663	18	27	double	double	ADJ
ejpam-3663	18	28	fourier	fourier	NOUN
ejpam-3663	18	29	series	series	NOUN
ejpam-3663	18	30	.	.	PUNCT
ejpam-3663	19	1	∗corresponding	∗corresponde	VERB
ejpam-3663	19	2	author	author	NOUN
ejpam-3663	19	3	.	.	PUNCT
ejpam-3663	20	1	doi	doi	NOUN
ejpam-3663	20	2	:	:	PUNCT
ejpam-3663	20	3	https://doi.org/10.29020/nybg.ejpam.v13i3.3663	https://doi.org/10.29020/nybg.ejpam.v13i3.3663	ADJ
ejpam-3663	20	4	email	email	NOUN
ejpam-3663	20	5	addresses	address	NOUN
ejpam-3663	20	6	:	:	PUNCT
ejpam-3663	20	7	hknigam@cusb.ac.in	hknigam@cusb.ac.in	PUNCT
ejpam-3663	20	8	(	(	PUNCT
ejpam-3663	20	9	h.	h.	PROPN
ejpam-3663	20	10	k.	k.	PROPN
ejpam-3663	20	11	nigam	nigam	PROPN
ejpam-3663	20	12	)	)	PUNCT
ejpam-3663	20	13	,	,	PUNCT
ejpam-3663	20	14	hadish@cusb.ac.in	hadish@cusb.ac.in	X
ejpam-3663	20	15	(	(	PUNCT
ejpam-3663	20	16	md	md	PROPN
ejpam-3663	20	17	hadish	hadish	PROPN
ejpam-3663	20	18	)	)	PUNCT
ejpam-3663	20	19	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-3663	21	1	567	567	NUM
ejpam-3663	21	2	c	c	NOUN
ejpam-3663	21	3	©	©	PROPN
ejpam-3663	21	4	2020	2020	NUM
ejpam-3663	21	5	ejpam	ejpam	VERB
ejpam-3663	21	6	all	all	DET
ejpam-3663	21	7	rights	right	NOUN
ejpam-3663	21	8	reserved	reserve	VERB
ejpam-3663	21	9	.	.	PUNCT
ejpam-3663	22	1	h.	h.	PROPN
ejpam-3663	22	2	k.	k.	PROPN
ejpam-3663	22	3	nigam	nigam	PROPN
ejpam-3663	22	4	,	,	PUNCT
ejpam-3663	22	5	md	md	PROPN
ejpam-3663	22	6	hadish	hadish	PROPN
ejpam-3663	22	7	/	/	SYM
ejpam-3663	22	8	eur	eur	PROPN
ejpam-3663	22	9	.	.	PUNCT
ejpam-3663	23	1	j.	j.	PROPN
ejpam-3663	23	2	pure	pure	PROPN
ejpam-3663	23	3	appl	appl	PROPN
ejpam-3663	23	4	.	.	PROPN
ejpam-3663	23	5	math	math	PROPN
ejpam-3663	23	6	,	,	PUNCT
ejpam-3663	23	7	13	13	NUM
ejpam-3663	23	8	(	(	PUNCT
ejpam-3663	23	9	3	3	NUM
ejpam-3663	23	10	)	)	PUNCT
ejpam-3663	23	11	(	(	PUNCT
ejpam-3663	23	12	2020	2020	NUM
ejpam-3663	23	13	)	)	PUNCT
ejpam-3663	23	14	,	,	PUNCT
ejpam-3663	23	15	567	567	NUM
ejpam-3663	23	16	-	-	SYM
ejpam-3663	23	17	578	578	NUM
ejpam-3663	23	18	568	568	NUM
ejpam-3663	23	19	2	2	NUM
ejpam-3663	23	20	.	.	PUNCT
ejpam-3663	23	21	preliminaries	preliminary	NOUN
ejpam-3663	23	22	under	under	ADP
ejpam-3663	23	23	usual	usual	ADJ
ejpam-3663	23	24	assumptions	assumption	NOUN
ejpam-3663	23	25	,	,	PUNCT
ejpam-3663	23	26	fourier	fourier	ADJ
ejpam-3663	23	27	series	series	NOUN
ejpam-3663	23	28	of	of	ADP
ejpam-3663	23	29	h(t	h(t	PROPN
ejpam-3663	23	30	)	)	PUNCT
ejpam-3663	23	31	is	be	AUX
ejpam-3663	23	32	defined	define	VERB
ejpam-3663	23	33	as	as	ADP
ejpam-3663	23	34	h(t	h(t	NUM
ejpam-3663	23	35	)	)	PUNCT
ejpam-3663	23	36	∼	∼	NOUN
ejpam-3663	23	37	1	1	NUM
ejpam-3663	23	38	2	2	NUM
ejpam-3663	23	39	a0	a0	NOUN
ejpam-3663	23	40	+	+	CCONJ
ejpam-3663	23	41	∞∑	∞∑	PROPN
ejpam-3663	23	42	ρ=1	ρ=1	ADJ
ejpam-3663	23	43	(	(	PUNCT
ejpam-3663	23	44	aρ	aρ	ADP
ejpam-3663	23	45	cos	cos	PROPN
ejpam-3663	23	46	ρt+	ρt+	NOUN
ejpam-3663	23	47	bρ	bρ	VERB
ejpam-3663	23	48	sin	sin	NOUN
ejpam-3663	23	49	ρt	ρt	PROPN
ejpam-3663	23	50	)	)	PUNCT
ejpam-3663	23	51	.	.	PUNCT
ejpam-3663	24	1	(	(	PUNCT
ejpam-3663	24	2	1	1	X
ejpam-3663	24	3	)	)	PUNCT
ejpam-3663	24	4	under	under	ADP
ejpam-3663	24	5	usual	usual	ADJ
ejpam-3663	24	6	assumptions	assumption	NOUN
ejpam-3663	24	7	,	,	PUNCT
ejpam-3663	24	8	double	double	ADJ
ejpam-3663	24	9	fourier	fourier	NOUN
ejpam-3663	24	10	series	series	NOUN
ejpam-3663	24	11	of	of	ADP
ejpam-3663	24	12	h(ζ	h(ζ	PROPN
ejpam-3663	24	13	,	,	PUNCT
ejpam-3663	24	14	θ	θ	PROPN
ejpam-3663	24	15	)	)	PUNCT
ejpam-3663	24	16	is	be	AUX
ejpam-3663	24	17	given	give	VERB
ejpam-3663	24	18	by	by	ADP
ejpam-3663	24	19	h(ζ	h(ζ	PROPN
ejpam-3663	24	20	,	,	PUNCT
ejpam-3663	24	21	θ	θ	NOUN
ejpam-3663	24	22	)	)	PUNCT
ejpam-3663	24	23	∼	∼	AUX
ejpam-3663	24	24	∞∑	∞∑	PRON
ejpam-3663	24	25	ν=0	ν=0	PRON
ejpam-3663	24	26	∞∑	∞∑	PRON
ejpam-3663	24	27	ρ=0	ρ=0	NUM
ejpam-3663	24	28	αν	αν	NOUN
ejpam-3663	24	29	,	,	PUNCT
ejpam-3663	24	30	ρ[aν	ρ[aν	PROPN
ejpam-3663	24	31	,	,	PUNCT
ejpam-3663	24	32	ρ	ρ	PROPN
ejpam-3663	24	33	cos	cos	PROPN
ejpam-3663	24	34	νζ	νζ	PROPN
ejpam-3663	24	35	cos	cos	PROPN
ejpam-3663	24	36	ρθ+bν	ρθ+bν	NOUN
ejpam-3663	24	37	,	,	PUNCT
ejpam-3663	24	38	ρ	ρ	PROPN
ejpam-3663	24	39	sin	sin	NOUN
ejpam-3663	24	40	νζ	νζ	NOUN
ejpam-3663	24	41	cos	cos	PROPN
ejpam-3663	24	42	ρθ+cν	ρθ+cν	PROPN
ejpam-3663	24	43	,	,	PUNCT
ejpam-3663	24	44	ρ	ρ	PROPN
ejpam-3663	24	45	cos	cos	PROPN
ejpam-3663	24	46	νζ	νζ	PROPN
ejpam-3663	24	47	sin	sin	NOUN
ejpam-3663	24	48	ρθ+dν	ρθ+dν	NUM
ejpam-3663	24	49	,	,	PUNCT
ejpam-3663	24	50	ρ	ρ	PROPN
ejpam-3663	24	51	sin	sin	NOUN
ejpam-3663	24	52	νζ	νζ	ADP
ejpam-3663	24	53	sin	sin	NOUN
ejpam-3663	24	54	ρθ	ρθ	ADP
ejpam-3663	24	55	]	]	PUNCT
ejpam-3663	24	56	,	,	PUNCT
ejpam-3663	24	57	(	(	PUNCT
ejpam-3663	24	58	2	2	X
ejpam-3663	24	59	)	)	PUNCT
ejpam-3663	24	60	where	where	SCONJ
ejpam-3663	24	61	αν	αν	AUX
ejpam-3663	24	62	,	,	PUNCT
ejpam-3663	24	63	ρ	ρ	PROPN
ejpam-3663	24	64	=	=	SYM
ejpam-3663	24	65			PROPN
ejpam-3663	24	66	1	1	NUM
ejpam-3663	24	67	4	4	NUM
ejpam-3663	24	68	for	for	ADP
ejpam-3663	24	69	ν	ν	X
ejpam-3663	24	70	=	=	SYM
ejpam-3663	24	71	ρ	ρ	PROPN
ejpam-3663	24	72	=	=	SYM
ejpam-3663	24	73	0	0	NUM
ejpam-3663	24	74	1	1	NUM
ejpam-3663	24	75	2	2	NUM
ejpam-3663	24	76	for	for	ADP
ejpam-3663	24	77	ν	ν	X
ejpam-3663	24	78	>	>	X
ejpam-3663	24	79	0	0	PROPN
ejpam-3663	24	80	,	,	PUNCT
ejpam-3663	24	81	ρ	ρ	PROPN
ejpam-3663	24	82	=	=	SYM
ejpam-3663	24	83	0	0	NUM
ejpam-3663	24	84	and	and	CCONJ
ejpam-3663	24	85	ν	ν	X
ejpam-3663	24	86	=	=	SYM
ejpam-3663	24	87	0	0	NUM
ejpam-3663	24	88	,	,	PUNCT
ejpam-3663	24	89	ρ	ρ	X
ejpam-3663	24	90	>	>	X
ejpam-3663	24	91	0	0	NUM
ejpam-3663	24	92	1	1	NUM
ejpam-3663	24	93	for	for	ADP
ejpam-3663	24	94	ν	ν	X
ejpam-3663	24	95	>	>	X
ejpam-3663	24	96	0	0	PROPN
ejpam-3663	24	97	,	,	PUNCT
ejpam-3663	24	98	ρ	ρ	PROPN
ejpam-3663	24	99	>	>	X
ejpam-3663	24	100	0	0	NUM
ejpam-3663	24	101	.	.	PUNCT
ejpam-3663	25	1	(	(	PUNCT
ejpam-3663	25	2	3	3	NUM
ejpam-3663	25	3	)	)	PUNCT
ejpam-3663	25	4	and	and	CCONJ
ejpam-3663	25	5	aν	aν	NOUN
ejpam-3663	25	6	,	,	PUNCT
ejpam-3663	25	7	ρ	ρ	NOUN
ejpam-3663	25	8	=	=	SYM
ejpam-3663	25	9	1	1	NUM
ejpam-3663	25	10	π2	π2	NOUN
ejpam-3663	25	11	∫∫	∫∫	PROPN
ejpam-3663	25	12	s2	s2	VERB
ejpam-3663	25	13	h(ζ	h(ζ	NOUN
ejpam-3663	25	14	,	,	PUNCT
ejpam-3663	25	15	θ	θ	PROPN
ejpam-3663	25	16	)	)	PUNCT
ejpam-3663	25	17	cos	cos	PROPN
ejpam-3663	25	18	νζ	νζ	PROPN
ejpam-3663	25	19	cos	cos	PROPN
ejpam-3663	25	20	ρθ	ρθ	PROPN
ejpam-3663	25	21	dζ	dζ	PROPN
ejpam-3663	25	22	dθ	dθ	PROPN
ejpam-3663	25	23	(	(	PUNCT
ejpam-3663	25	24	4	4	NUM
ejpam-3663	25	25	)	)	PUNCT
ejpam-3663	25	26	with	with	ADP
ejpam-3663	25	27	similar	similar	ADJ
ejpam-3663	25	28	expressions	expression	NOUN
ejpam-3663	25	29	for	for	ADP
ejpam-3663	25	30	bν	bν	PROPN
ejpam-3663	25	31	,	,	PUNCT
ejpam-3663	25	32	ρ	ρ	PROPN
ejpam-3663	25	33	,	,	PUNCT
ejpam-3663	25	34	cν	cν	NOUN
ejpam-3663	25	35	,	,	PUNCT
ejpam-3663	25	36	ρ	ρ	PROPN
ejpam-3663	25	37	and	and	CCONJ
ejpam-3663	25	38	dν	dν	PROPN
ejpam-3663	25	39	,	,	PUNCT
ejpam-3663	25	40	ρ	ρ	NOUN
ejpam-3663	25	41	for	for	ADP
ejpam-3663	25	42	ν	ν	X
ejpam-3663	25	43	=	=	SYM
ejpam-3663	25	44	0	0	NUM
ejpam-3663	25	45	,	,	PUNCT
ejpam-3663	25	46	1	1	NUM
ejpam-3663	25	47	,	,	PUNCT
ejpam-3663	25	48	2	2	NUM
ejpam-3663	25	49	,	,	PUNCT
ejpam-3663	25	50	.	.	PUNCT
ejpam-3663	25	51	.	.	PUNCT
ejpam-3663	25	52	.	.	PUNCT
ejpam-3663	26	1	and	and	CCONJ
ejpam-3663	26	2	ρ	ρ	NUM
ejpam-3663	26	3	=	=	SYM
ejpam-3663	26	4	0	0	NUM
ejpam-3663	26	5	,	,	PUNCT
ejpam-3663	26	6	1	1	NUM
ejpam-3663	26	7	,	,	PUNCT
ejpam-3663	26	8	2	2	NUM
ejpam-3663	26	9	,	,	PUNCT
ejpam-3663	26	10	.	.	PUNCT
ejpam-3663	26	11	.	.	PUNCT
ejpam-3663	27	1	.	.	PUNCT
ejpam-3663	28	1	,	,	PUNCT
ejpam-3663	28	2	where	where	SCONJ
ejpam-3663	28	3	s2	s2	PROPN
ejpam-3663	28	4	denotes	denote	VERB
ejpam-3663	28	5	the	the	DET
ejpam-3663	28	6	fundamental	fundamental	ADJ
ejpam-3663	28	7	square	square	NOUN
ejpam-3663	28	8	(	(	PUNCT
ejpam-3663	28	9	−π	−π	ADV
ejpam-3663	28	10	,	,	PUNCT
ejpam-3663	28	11	π;−π	π;−π	X
ejpam-3663	28	12	,	,	PUNCT
ejpam-3663	28	13	π	π	NOUN
ejpam-3663	28	14	)	)	PUNCT
ejpam-3663	28	15	.	.	PUNCT
ejpam-3663	29	1	the	the	DET
ejpam-3663	29	2	partial	partial	ADJ
ejpam-3663	29	3	sums	sum	NOUN
ejpam-3663	29	4	of	of	ADP
ejpam-3663	29	5	(	(	PUNCT
ejpam-3663	29	6	2	2	X
ejpam-3663	29	7	)	)	PUNCT
ejpam-3663	29	8	can	can	AUX
ejpam-3663	29	9	be	be	AUX
ejpam-3663	29	10	denoted	denote	VERB
ejpam-3663	29	11	by	by	ADP
ejpam-3663	29	12	sν	sν	NOUN
ejpam-3663	29	13	,	,	PUNCT
ejpam-3663	29	14	ρ(h	ρ(h	X
ejpam-3663	29	15	;	;	PUNCT
ejpam-3663	29	16	ζ	ζ	NOUN
ejpam-3663	29	17	,	,	PUNCT
ejpam-3663	29	18	θ	θ	NOUN
ejpam-3663	29	19	)	)	PUNCT
ejpam-3663	29	20	=	=	PUNCT
ejpam-3663	29	21	ν∑	ν∑	PROPN
ejpam-3663	30	1	i=0	i=0	PROPN
ejpam-3663	30	2	ρ∑	ρ∑	SYM
ejpam-3663	30	3	j=0	j=0	PROPN
ejpam-3663	30	4	[	[	PUNCT
ejpam-3663	30	5	aij	aij	PROPN
ejpam-3663	30	6	cos	cos	PROPN
ejpam-3663	30	7	iζ	iζ	PROPN
ejpam-3663	30	8	cos	cos	PROPN
ejpam-3663	30	9	jθ+bij	jθ+bij	PROPN
ejpam-3663	30	10	sin	sin	NOUN
ejpam-3663	30	11	iζ	iζ	PROPN
ejpam-3663	30	12	cos	cos	PROPN
ejpam-3663	30	13	jθ+cij	jθ+cij	PROPN
ejpam-3663	30	14	cos	cos	PROPN
ejpam-3663	30	15	iζ	iζ	PROPN
ejpam-3663	30	16	sin	sin	NOUN
ejpam-3663	30	17	jθ+dij	jθ+dij	X
ejpam-3663	30	18	sin	sin	NOUN
ejpam-3663	30	19	iζ	iζ	PROPN
ejpam-3663	30	20	sin	sin	NOUN
ejpam-3663	30	21	jθ	jθ	ADP
ejpam-3663	30	22	]	]	X
ejpam-3663	30	23	.	.	PUNCT
ejpam-3663	31	1	we	we	PRON
ejpam-3663	31	2	can	can	AUX
ejpam-3663	31	3	also	also	ADV
ejpam-3663	31	4	write	write	VERB
ejpam-3663	31	5	sν	sν	NOUN
ejpam-3663	31	6	,	,	PUNCT
ejpam-3663	31	7	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	31	8	,	,	PUNCT
ejpam-3663	31	9	θ	θ	NOUN
ejpam-3663	31	10	)	)	PUNCT
ejpam-3663	31	11	=	=	SYM
ejpam-3663	31	12	1	1	NUM
ejpam-3663	31	13	π2	π2	NOUN
ejpam-3663	31	14	∫∫	∫∫	PROPN
ejpam-3663	31	15	s2	s2	VERB
ejpam-3663	31	16	h(ζ	h(ζ	NOUN
ejpam-3663	31	17	+	+	PROPN
ejpam-3663	31	18	σ	σ	PROPN
ejpam-3663	31	19	,	,	PUNCT
ejpam-3663	31	20	θ	θ	PROPN
ejpam-3663	31	21	+	+	CCONJ
ejpam-3663	31	22	τ	τ	PROPN
ejpam-3663	31	23	)	)	PUNCT
ejpam-3663	31	24	sin	sin	NOUN
ejpam-3663	31	25	(	(	PUNCT
ejpam-3663	31	26	ν	ν	X
ejpam-3663	31	27	+	+	NOUN
ejpam-3663	31	28	1	1	NUM
ejpam-3663	31	29	2	2	NUM
ejpam-3663	31	30	)	)	PUNCT
ejpam-3663	31	31	σ	σ	NOUN
ejpam-3663	31	32	sin	sin	NOUN
ejpam-3663	31	33	(	(	PUNCT
ejpam-3663	31	34	ρ+	ρ+	NUM
ejpam-3663	31	35	1	1	NUM
ejpam-3663	31	36	2	2	NUM
ejpam-3663	31	37	)	)	PUNCT
ejpam-3663	31	38	τ	τ	PROPN
ejpam-3663	31	39	4	4	NUM
ejpam-3663	31	40	sin	sin	NOUN
ejpam-3663	31	41	(	(	PUNCT
ejpam-3663	31	42	σ	σ	NOUN
ejpam-3663	31	43	2	2	NUM
ejpam-3663	31	44	)	)	PUNCT
ejpam-3663	31	45	.	.	PUNCT
ejpam-3663	32	1	sin	sin	NOUN
ejpam-3663	32	2	(	(	PUNCT
ejpam-3663	32	3	τ	τ	X
ejpam-3663	32	4	2	2	X
ejpam-3663	32	5	)	)	PUNCT
ejpam-3663	32	6	dσ	dσ	PROPN
ejpam-3663	32	7	dτ	dτ	PROPN
ejpam-3663	32	8	.	.	PUNCT
ejpam-3663	33	1	the	the	DET
ejpam-3663	33	2	number	number	NOUN
ejpam-3663	33	3	[	[	PUNCT
ejpam-3663	33	4	ν	ν	X
ejpam-3663	33	5	p	p	X
ejpam-3663	33	6	]	]	PUNCT
ejpam-3663	33	7	for	for	ADP
ejpam-3663	33	8	0	0	NUM
ejpam-3663	33	9	≤	≤	NOUN
ejpam-3663	33	10	p	p	NOUN
ejpam-3663	33	11	≤	≤	ADJ
ejpam-3663	33	12	ν	ν	NOUN
ejpam-3663	33	13	and	and	CCONJ
ejpam-3663	33	14	ν	ν	X
ejpam-3663	33	15	∈	∈	PROPN
ejpam-3663	33	16	n	n	NOUN
ejpam-3663	33	17	∪	∪	X
ejpam-3663	33	18	{	{	PUNCT
ejpam-3663	33	19	0	0	NUM
ejpam-3663	33	20	}	}	PUNCT
ejpam-3663	33	21	is	be	AUX
ejpam-3663	33	22	defined	define	VERB
ejpam-3663	33	23	by	by	ADP
ejpam-3663	33	24	ν−1∏	ν−1∏	ADJ
ejpam-3663	33	25	l=0	l=0	PROPN
ejpam-3663	33	26	(	(	PUNCT
ejpam-3663	33	27	ζ	ζ	NOUN
ejpam-3663	33	28	+	+	NUM
ejpam-3663	33	29	l	l	NOUN
ejpam-3663	33	30	)	)	PUNCT
ejpam-3663	33	31	=	=	SYM
ejpam-3663	34	1	ζ(ζ	ζ(ζ	PROPN
ejpam-3663	34	2	+	+	CCONJ
ejpam-3663	34	3	1	1	NUM
ejpam-3663	34	4	)	)	PUNCT
ejpam-3663	34	5	·	·	PUNCT
ejpam-3663	34	6	·	·	PUNCT
ejpam-3663	35	1	·	·	PUNCT
ejpam-3663	35	2	(	(	PUNCT
ejpam-3663	35	3	ζ	ζ	NOUN
ejpam-3663	35	4	+	+	NOUN
ejpam-3663	35	5	ν	ν	NOUN
ejpam-3663	35	6	−	−	NOUN
ejpam-3663	35	7	1	1	NUM
ejpam-3663	35	8	)	)	PUNCT
ejpam-3663	35	9	=	=	SYM
ejpam-3663	35	10	ν∑	ν∑	PROPN
ejpam-3663	36	1	p=0	p=0	X
ejpam-3663	36	2	[	[	PUNCT
ejpam-3663	36	3	ν	ν	X
ejpam-3663	36	4	p	p	X
ejpam-3663	36	5	]	]	PUNCT
ejpam-3663	36	6	ζp	ζp	PROPN
ejpam-3663	36	7	=	=	PROPN
ejpam-3663	36	8	γ(ζ	γ(ζ	PROPN
ejpam-3663	36	9	+	+	CCONJ
ejpam-3663	36	10	ν	ν	NOUN
ejpam-3663	36	11	)	)	PUNCT
ejpam-3663	36	12	γζ	γζ	VERB
ejpam-3663	36	13	.	.	PUNCT
ejpam-3663	37	1	let	let	VERB
ejpam-3663	37	2	us	we	PRON
ejpam-3663	37	3	also	also	ADV
ejpam-3663	37	4	define	define	VERB
ejpam-3663	37	5	for	for	ADP
ejpam-3663	37	6	ρ	ρ	PROPN
ejpam-3663	37	7	∈	∈	PROPN
ejpam-3663	37	8	n	n	NOUN
ejpam-3663	37	9	∪	∪	X
ejpam-3663	37	10	{	{	PUNCT
ejpam-3663	37	11	0	0	NUM
ejpam-3663	37	12	}	}	PUNCT
ejpam-3663	37	13	,	,	PUNCT
ejpam-3663	37	14	the	the	DET
ejpam-3663	37	15	number	number	NOUN
ejpam-3663	37	16	[	[	PUNCT
ejpam-3663	37	17	ρ	ρ	PROPN
ejpam-3663	37	18	q	q	X
ejpam-3663	37	19	]	]	X
ejpam-3663	37	20	for	for	ADP
ejpam-3663	37	21	0	0	NUM
ejpam-3663	37	22	≤	≤	NUM
ejpam-3663	37	23	q	q	PROPN
ejpam-3663	37	24	≤	≤	NUM
ejpam-3663	37	25	ρ	ρ	NOUN
ejpam-3663	37	26	,	,	PUNCT
ejpam-3663	37	27	by	by	ADP
ejpam-3663	37	28	ρ−1∏	ρ−1∏	PROPN
ejpam-3663	37	29	l=0	l=0	PROPN
ejpam-3663	37	30	(	(	PUNCT
ejpam-3663	37	31	θ	θ	X
ejpam-3663	37	32	+	+	CCONJ
ejpam-3663	37	33	l	l	NOUN
ejpam-3663	37	34	)	)	PUNCT
ejpam-3663	37	35	=	=	SYM
ejpam-3663	38	1	θ(θ	θ(θ	VERB
ejpam-3663	38	2	+	+	NOUN
ejpam-3663	38	3	1	1	NUM
ejpam-3663	38	4	)	)	PUNCT
ejpam-3663	38	5	·	·	PUNCT
ejpam-3663	38	6	·	·	PUNCT
ejpam-3663	38	7	·	·	PUNCT
ejpam-3663	38	8	(	(	PUNCT
ejpam-3663	38	9	θ	θ	X
ejpam-3663	38	10	+	+	CCONJ
ejpam-3663	38	11	ρ−	ρ−	PROPN
ejpam-3663	38	12	1	1	NUM
ejpam-3663	38	13	)	)	PUNCT
ejpam-3663	39	1	=	=	SYM
ejpam-3663	39	2	ρ∑	ρ∑	NOUN
ejpam-3663	39	3	q=0	q=0	NOUN
ejpam-3663	40	1	[	[	PUNCT
ejpam-3663	40	2	ρ	ρ	PROPN
ejpam-3663	40	3	q	q	X
ejpam-3663	40	4	]	]	X
ejpam-3663	40	5	θq	θq	PROPN
ejpam-3663	40	6	=	=	PUNCT
ejpam-3663	40	7	γ(θ	γ(θ	PROPN
ejpam-3663	40	8	+	+	PROPN
ejpam-3663	40	9	ρ	ρ	NOUN
ejpam-3663	40	10	)	)	PUNCT
ejpam-3663	40	11	γθ	γθ	NOUN
ejpam-3663	40	12	.	.	PUNCT
ejpam-3663	41	1	the	the	DET
ejpam-3663	41	2	numbers	number	NOUN
ejpam-3663	41	3	[	[	PUNCT
ejpam-3663	41	4	ν	ν	X
ejpam-3663	41	5	p	p	X
ejpam-3663	41	6	]	]	PUNCT
ejpam-3663	41	7	and	and	CCONJ
ejpam-3663	41	8	[	[	PUNCT
ejpam-3663	41	9	ρ	ρ	PROPN
ejpam-3663	41	10	q	q	X
ejpam-3663	41	11	]	]	PUNCT
ejpam-3663	41	12	are	be	AUX
ejpam-3663	41	13	called	call	VERB
ejpam-3663	41	14	the	the	DET
ejpam-3663	41	15	absolute	absolute	ADJ
ejpam-3663	41	16	values	value	NOUN
ejpam-3663	41	17	of	of	ADP
ejpam-3663	41	18	stirling	stirling	NOUN
ejpam-3663	41	19	numbers	number	NOUN
ejpam-3663	41	20	of	of	ADP
ejpam-3663	41	21	first	first	ADJ
ejpam-3663	41	22	kind	kind	NOUN
ejpam-3663	41	23	.	.	PUNCT
ejpam-3663	42	1	h.	h.	PROPN
ejpam-3663	42	2	k.	k.	PROPN
ejpam-3663	42	3	nigam	nigam	PROPN
ejpam-3663	42	4	,	,	PUNCT
ejpam-3663	42	5	md	md	PROPN
ejpam-3663	42	6	hadish	hadish	PROPN
ejpam-3663	42	7	/	/	SYM
ejpam-3663	42	8	eur	eur	PROPN
ejpam-3663	42	9	.	.	PUNCT
ejpam-3663	43	1	j.	j.	PROPN
ejpam-3663	43	2	pure	pure	PROPN
ejpam-3663	43	3	appl	appl	PROPN
ejpam-3663	43	4	.	.	PROPN
ejpam-3663	43	5	math	math	PROPN
ejpam-3663	43	6	,	,	PUNCT
ejpam-3663	43	7	13	13	NUM
ejpam-3663	43	8	(	(	PUNCT
ejpam-3663	43	9	3	3	NUM
ejpam-3663	43	10	)	)	PUNCT
ejpam-3663	43	11	(	(	PUNCT
ejpam-3663	43	12	2020	2020	NUM
ejpam-3663	43	13	)	)	PUNCT
ejpam-3663	43	14	,	,	PUNCT
ejpam-3663	43	15	567	567	NUM
ejpam-3663	43	16	-	-	SYM
ejpam-3663	43	17	578	578	NUM
ejpam-3663	43	18	569	569	NUM
ejpam-3663	43	19	let	let	VERB
ejpam-3663	43	20	{	{	PUNCT
ejpam-3663	43	21	sν	sν	VERB
ejpam-3663	43	22	,	,	PUNCT
ejpam-3663	43	23	ρ	ρ	NOUN
ejpam-3663	43	24	}	}	PUNCT
ejpam-3663	43	25	be	be	VERB
ejpam-3663	43	26	the	the	DET
ejpam-3663	43	27	sequence	sequence	NOUN
ejpam-3663	43	28	of	of	ADP
ejpam-3663	43	29	partial	partial	ADJ
ejpam-3663	43	30	sums	sum	NOUN
ejpam-3663	43	31	of	of	ADP
ejpam-3663	43	32	double	double	ADJ
ejpam-3663	43	33	infinite	infinite	ADJ
ejpam-3663	43	34	series	series	NOUN
ejpam-3663	43	35	∑∞	∑∞	PUNCT
ejpam-3663	44	1	ν=0	ν=0	X
ejpam-3663	44	2	∑∞	∑∞	NOUN
ejpam-3663	44	3	ρ=0	ρ=0	NOUN
ejpam-3663	44	4	aν	aν	NOUN
ejpam-3663	44	5	,	,	PUNCT
ejpam-3663	44	6	ρ	ρ	PROPN
ejpam-3663	44	7	and	and	CCONJ
ejpam-3663	44	8	write	write	PROPN
ejpam-3663	44	9	sλ,µν	sλ,µν	PROPN
ejpam-3663	44	10	,	,	PUNCT
ejpam-3663	44	11	ρ	ρ	PROPN
ejpam-3663	44	12	=	=	SYM
ejpam-3663	44	13	γλ	γλ	NUM
ejpam-3663	44	14	γ(λ+	γ(λ+	NUM
ejpam-3663	44	15	ν	ν	NOUN
ejpam-3663	44	16	)	)	PUNCT
ejpam-3663	44	17	×	×	NOUN
ejpam-3663	44	18	γµ	γµ	CCONJ
ejpam-3663	44	19	γ(µ+	γ(µ+	PROPN
ejpam-3663	44	20	ρ	ρ	PROPN
ejpam-3663	44	21	)	)	PUNCT
ejpam-3663	44	22	ν∑	ν∑	PUNCT
ejpam-3663	45	1	p=0	p=0	PROPN
ejpam-3663	46	1	ρ∑	ρ∑	PROPN
ejpam-3663	46	2	q=0	q=0	NOUN
ejpam-3663	47	1	[	[	PUNCT
ejpam-3663	47	2	ν	ν	X
ejpam-3663	47	3	p	p	X
ejpam-3663	47	4	]	]	X
ejpam-3663	47	5	[	[	PUNCT
ejpam-3663	47	6	ρ	ρ	X
ejpam-3663	47	7	q	q	X
ejpam-3663	47	8	]	]	PUNCT
ejpam-3663	47	9	λpµqsp	λpµqsp	NOUN
ejpam-3663	47	10	,	,	PUNCT
ejpam-3663	47	11	q	q	X
ejpam-3663	47	12	(	(	PUNCT
ejpam-3663	47	13	5	5	NUM
ejpam-3663	47	14	)	)	PUNCT
ejpam-3663	47	15	to	to	PART
ejpam-3663	47	16	denote	denote	VERB
ejpam-3663	47	17	(	(	PUNCT
ejpam-3663	47	18	ν	ν	NOUN
ejpam-3663	47	19	,	,	PUNCT
ejpam-3663	47	20	ρ)th	ρ)th	PROPN
ejpam-3663	47	21	kλ,µ-means	kλ,µ-mean	NOUN
ejpam-3663	47	22	of	of	ADP
ejpam-3663	47	23	order	order	NOUN
ejpam-3663	47	24	(	(	PUNCT
ejpam-3663	47	25	λ	λ	NOUN
ejpam-3663	47	26	,	,	PUNCT
ejpam-3663	47	27	µ	µ	NOUN
ejpam-3663	47	28	)	)	PUNCT
ejpam-3663	47	29	>	>	X
ejpam-3663	47	30	0	0	X
ejpam-3663	47	31	.	.	PUNCT
ejpam-3663	48	1	if	if	SCONJ
ejpam-3663	48	2	sλ,µν	sλ,µν	PROPN
ejpam-3663	48	3	,	,	PUNCT
ejpam-3663	48	4	ρ	ρ	PROPN
ejpam-3663	48	5	→	→	SYM
ejpam-3663	48	6	s	s	PART
ejpam-3663	48	7	as	as	ADP
ejpam-3663	48	8	(	(	PUNCT
ejpam-3663	48	9	ν	ν	NOUN
ejpam-3663	48	10	,	,	PUNCT
ejpam-3663	48	11	ρ)→∞	ρ)→∞	NUM
ejpam-3663	48	12	,	,	PUNCT
ejpam-3663	48	13	(	(	PUNCT
ejpam-3663	48	14	6	6	NUM
ejpam-3663	48	15	)	)	PUNCT
ejpam-3663	48	16	then	then	ADV
ejpam-3663	48	17	the	the	DET
ejpam-3663	48	18	sequence	sequence	NOUN
ejpam-3663	48	19	sν	sν	NOUN
ejpam-3663	48	20	,	,	PUNCT
ejpam-3663	48	21	ρ	ρ	PROPN
ejpam-3663	48	22	or	or	CCONJ
ejpam-3663	48	23	the	the	DET
ejpam-3663	48	24	series	series	NOUN
ejpam-3663	48	25	∑∞	∑∞	PUNCT
ejpam-3663	48	26	ν=0	ν=0	X
ejpam-3663	48	27	∑∞	∑∞	NOUN
ejpam-3663	48	28	ρ=0	ρ=0	NOUN
ejpam-3663	48	29	aν	aν	NOUN
ejpam-3663	48	30	,	,	PUNCT
ejpam-3663	48	31	ρ	ρ	PROPN
ejpam-3663	48	32	summable	summable	ADJ
ejpam-3663	48	33	to	to	ADP
ejpam-3663	48	34	s	s	PRON
ejpam-3663	48	35	by	by	ADP
ejpam-3663	48	36	double	double	ADJ
ejpam-3663	48	37	karamata	karamata	NOUN
ejpam-3663	48	38	(	(	PUNCT
ejpam-3663	48	39	kλ,µ	kλ,µ	NOUN
ejpam-3663	48	40	)	)	PUNCT
ejpam-3663	48	41	method	method	NOUN
ejpam-3663	48	42	of	of	ADP
ejpam-3663	48	43	order	order	NOUN
ejpam-3663	48	44	(	(	PUNCT
ejpam-3663	48	45	λ	λ	NOUN
ejpam-3663	48	46	,	,	PUNCT
ejpam-3663	48	47	µ	µ	NOUN
ejpam-3663	48	48	)	)	PUNCT
ejpam-3663	48	49	>	>	X
ejpam-3663	48	50	0	0	X
ejpam-3663	48	51	.	.	PUNCT
ejpam-3663	49	1	thus	thus	ADV
ejpam-3663	49	2	,	,	PUNCT
ejpam-3663	49	3	sλ,µν	sλ,µν	PROPN
ejpam-3663	49	4	,	,	PUNCT
ejpam-3663	49	5	ρ	ρ	PROPN
ejpam-3663	49	6	→	→	SYM
ejpam-3663	49	7	s(kλ,µ	s(kλ,µ	NOUN
ejpam-3663	49	8	)	)	PUNCT
ejpam-3663	49	9	as	as	ADP
ejpam-3663	49	10	(	(	PUNCT
ejpam-3663	49	11	ν	ν	NOUN
ejpam-3663	49	12	,	,	PUNCT
ejpam-3663	49	13	ρ)→∞.	ρ)→∞.	NOUN
ejpam-3663	49	14	the	the	DET
ejpam-3663	49	15	method	method	NOUN
ejpam-3663	49	16	kλ,µ	kλ,µ	PUNCT
ejpam-3663	49	17	is	be	AUX
ejpam-3663	49	18	regular	regular	ADJ
ejpam-3663	49	19	for	for	ADP
ejpam-3663	49	20	(	(	PUNCT
ejpam-3663	49	21	λ	λ	PROPN
ejpam-3663	49	22	,	,	PUNCT
ejpam-3663	49	23	µ	µ	NOUN
ejpam-3663	49	24	)	)	PUNCT
ejpam-3663	49	25	>	>	X
ejpam-3663	49	26	0	0	X
ejpam-3663	49	27	.	.	PUNCT
ejpam-3663	50	1	the	the	DET
ejpam-3663	50	2	regularity	regularity	NOUN
ejpam-3663	50	3	of	of	ADP
ejpam-3663	50	4	the	the	DET
ejpam-3663	50	5	kλ,µ	kλ,µ	ADJ
ejpam-3663	50	6	method	method	NOUN
ejpam-3663	50	7	is	be	AUX
ejpam-3663	50	8	supposed	suppose	VERB
ejpam-3663	50	9	throughout	throughout	ADP
ejpam-3663	50	10	the	the	DET
ejpam-3663	50	11	paper	paper	NOUN
ejpam-3663	50	12	.	.	PUNCT
ejpam-3663	51	1	“	"	PUNCT
ejpam-3663	51	2	since	since	SCONJ
ejpam-3663	51	3	h(ζ	h(ζ	NOUN
ejpam-3663	51	4	)	)	PUNCT
ejpam-3663	51	5	is	be	AUX
ejpam-3663	51	6	continuous	continuous	ADJ
ejpam-3663	51	7	and	and	CCONJ
ejpam-3663	51	8	2π	2π	NOUN
ejpam-3663	51	9	-	-	ADJ
ejpam-3663	51	10	periodic	periodic	ADJ
ejpam-3663	51	11	function	function	NOUN
ejpam-3663	51	12	then	then	ADV
ejpam-3663	51	13	the	the	DET
ejpam-3663	51	14	hölder	hölder	NOUN
ejpam-3663	51	15	class	class	NOUN
ejpam-3663	51	16	for	for	ADP
ejpam-3663	51	17	h(ζ	h(ζ	NOUN
ejpam-3663	51	18	)	)	PUNCT
ejpam-3663	51	19	is	be	AUX
ejpam-3663	51	20	defined	define	VERB
ejpam-3663	51	21	as	as	ADP
ejpam-3663	51	22	hα	hα	ADP
ejpam-3663	51	23	=	=	PUNCT
ejpam-3663	51	24	{	{	PUNCT
ejpam-3663	51	25	h	h	NOUN
ejpam-3663	51	26	∈	∈	PROPN
ejpam-3663	51	27	c2π	c2π	NOUN
ejpam-3663	51	28	:	:	PUNCT
ejpam-3663	51	29	|h(ζ)−	|h(ζ)−	NOUN
ejpam-3663	51	30	h(θ)|	h(θ)|	NOUN
ejpam-3663	51	31	≤	≤	NUM
ejpam-3663	51	32	k|ζ	k|ζ	X
ejpam-3663	52	1	−θ|	−θ|	ADP
ejpam-3663	52	2	}	}	PUNCT
ejpam-3663	52	3	,	,	PUNCT
ejpam-3663	52	4	where	where	SCONJ
ejpam-3663	52	5	k	k	PROPN
ejpam-3663	52	6	is	be	AUX
ejpam-3663	52	7	a	a	DET
ejpam-3663	52	8	positive	positive	ADJ
ejpam-3663	52	9	constant	constant	NOUN
ejpam-3663	52	10	.	.	PUNCT
ejpam-3663	53	1	it	it	PRON
ejpam-3663	53	2	can	can	AUX
ejpam-3663	53	3	be	be	AUX
ejpam-3663	53	4	verified	verify	VERB
ejpam-3663	53	5	that	that	SCONJ
ejpam-3663	53	6	hα	hα	AUX
ejpam-3663	53	7	is	be	AUX
ejpam-3663	53	8	a	a	DET
ejpam-3663	53	9	banach	banach	NOUN
ejpam-3663	53	10	space	space	NOUN
ejpam-3663	53	11	with	with	ADP
ejpam-3663	53	12	the	the	DET
ejpam-3663	53	13	norm	norm	NOUN
ejpam-3663	53	14	‖.‖α	‖.‖α	NOUN
ejpam-3663	53	15	defined	define	VERB
ejpam-3663	53	16	by	by	ADP
ejpam-3663	53	17	‖h‖α	‖h‖α	NOUN
ejpam-3663	53	18	=	=	SYM
ejpam-3663	53	19	‖h‖c	‖h‖c	NOUN
ejpam-3663	53	20	+	+	CCONJ
ejpam-3663	53	21	sup	sup	NOUN
ejpam-3663	53	22	ζ	ζ	NOUN
ejpam-3663	53	23	6	6	NUM
ejpam-3663	53	24	=	=	SYM
ejpam-3663	53	25	θ	θ	NOUN
ejpam-3663	53	26	∆αh(ζ	∆αh(ζ	NOUN
ejpam-3663	53	27	,	,	PUNCT
ejpam-3663	53	28	θ	θ	PROPN
ejpam-3663	53	29	)	)	PUNCT
ejpam-3663	53	30	,	,	PUNCT
ejpam-3663	53	31	(	(	PUNCT
ejpam-3663	53	32	7	7	X
ejpam-3663	53	33	)	)	PUNCT
ejpam-3663	54	1	where	where	SCONJ
ejpam-3663	54	2	∆αh(ζ	∆αh(ζ	NOUN
ejpam-3663	54	3	,	,	PUNCT
ejpam-3663	54	4	θ	θ	NOUN
ejpam-3663	54	5	)	)	PUNCT
ejpam-3663	54	6	=	=	NOUN
ejpam-3663	54	7	|h(ζ)−	|h(ζ)−	NOUN
ejpam-3663	54	8	h(θ)|	h(θ)|	NOUN
ejpam-3663	54	9	|ζ	|ζ	PROPN
ejpam-3663	54	10	−θ|α	−θ|α	PROPN
ejpam-3663	54	11	for	for	ADP
ejpam-3663	54	12	ζ	ζ	NOUN
ejpam-3663	54	13	6=	6=	SYM
ejpam-3663	54	14	θ	θ	PROPN
ejpam-3663	54	15	.	.	PUNCT
ejpam-3663	54	16	by	by	ADP
ejpam-3663	54	17	convention	convention	PROPN
ejpam-3663	54	18	∆0h(ζ	∆0h(ζ	PROPN
ejpam-3663	54	19	,	,	PUNCT
ejpam-3663	54	20	θ	θ	NOUN
ejpam-3663	54	21	)	)	PUNCT
ejpam-3663	54	22	=	=	SYM
ejpam-3663	54	23	0	0	NUM
ejpam-3663	54	24	and	and	CCONJ
ejpam-3663	54	25	‖h‖c	‖h‖c	NOUN
ejpam-3663	54	26	=	=	SYM
ejpam-3663	54	27	supζ∈[−π	supζ∈[−π	PROPN
ejpam-3663	54	28	,	,	PUNCT
ejpam-3663	54	29	π	π	PROPN
ejpam-3663	54	30	]	]	X
ejpam-3663	54	31	|h(ζ)|	|h(ζ)|	PROPN
ejpam-3663	54	32	.	.	PUNCT
ejpam-3663	55	1	the	the	DET
ejpam-3663	55	2	metric	metric	NOUN
ejpam-3663	55	3	induced	induce	VERB
ejpam-3663	55	4	by	by	ADP
ejpam-3663	55	5	the	the	DET
ejpam-3663	55	6	norm	norm	NOUN
ejpam-3663	55	7	(	(	PUNCT
ejpam-3663	55	8	7	7	NUM
ejpam-3663	55	9	)	)	PUNCT
ejpam-3663	55	10	on	on	ADP
ejpam-3663	55	11	hα	hα	ADP
ejpam-3663	55	12	is	be	AUX
ejpam-3663	55	13	called	call	VERB
ejpam-3663	55	14	the	the	DET
ejpam-3663	55	15	hölder	hölder	NOUN
ejpam-3663	55	16	metric	metric	NOUN
ejpam-3663	55	17	[	[	X
ejpam-3663	55	18	13	13	NUM
ejpam-3663	55	19	]	]	PUNCT
ejpam-3663	55	20	.	.	PUNCT
ejpam-3663	55	21	”	"	PUNCT
ejpam-3663	56	1	since	since	SCONJ
ejpam-3663	56	2	h(ζ	h(ζ	NOUN
ejpam-3663	56	3	,	,	PUNCT
ejpam-3663	56	4	θ	θ	PROPN
ejpam-3663	56	5	)	)	PUNCT
ejpam-3663	56	6	is	be	AUX
ejpam-3663	56	7	continuous	continuous	ADJ
ejpam-3663	56	8	and	and	CCONJ
ejpam-3663	56	9	2π	2π	NOUN
ejpam-3663	56	10	-	-	ADJ
ejpam-3663	56	11	periodic	periodic	ADJ
ejpam-3663	56	12	function	function	NOUN
ejpam-3663	56	13	then	then	ADV
ejpam-3663	56	14	the	the	DET
ejpam-3663	56	15	hölder	hölder	NOUN
ejpam-3663	56	16	class	class	NOUN
ejpam-3663	56	17	for	for	ADP
ejpam-3663	56	18	h(ζ	h(ζ	PROPN
ejpam-3663	56	19	,	,	PUNCT
ejpam-3663	56	20	θ	θ	PROPN
ejpam-3663	56	21	)	)	PUNCT
ejpam-3663	56	22	is	be	AUX
ejpam-3663	56	23	defined	define	VERB
ejpam-3663	56	24	as	as	ADP
ejpam-3663	56	25	hα	hα	NOUN
ejpam-3663	56	26	,	,	PUNCT
ejpam-3663	56	27	β	β	X
ejpam-3663	56	28	=	=	SYM
ejpam-3663	56	29	{	{	PUNCT
ejpam-3663	56	30	h	h	NOUN
ejpam-3663	56	31	:	:	PUNCT
ejpam-3663	56	32	|h(ζ	|h(ζ	NOUN
ejpam-3663	56	33	,	,	PUNCT
ejpam-3663	56	34	θ	θ	PROPN
ejpam-3663	56	35	;	;	PUNCT
ejpam-3663	56	36	z	z	NOUN
ejpam-3663	56	37	,	,	PUNCT
ejpam-3663	56	38	w	w	PROPN
ejpam-3663	56	39	)	)	PUNCT
ejpam-3663	56	40	:	:	PUNCT
ejpam-3663	57	1	=	=	SYM
ejpam-3663	57	2	|h(ζ	|h(ζ	PROPN
ejpam-3663	57	3	,	,	PUNCT
ejpam-3663	57	4	θ)−	θ)−	PROPN
ejpam-3663	57	5	h(z	h(z	PROPN
ejpam-3663	57	6	,	,	PUNCT
ejpam-3663	57	7	w)|	w)|	VERB
ejpam-3663	57	8	≤	≤	ADJ
ejpam-3663	57	9	c1	c1	PROPN
ejpam-3663	57	10	(	(	PUNCT
ejpam-3663	57	11	|ζ	|ζ	PROPN
ejpam-3663	57	12	−	−	PROPN
ejpam-3663	57	13	z|α	z|α	NOUN
ejpam-3663	58	1	+	+	CCONJ
ejpam-3663	58	2	|θ−	|θ−	NOUN
ejpam-3663	58	3	w|β	w|β	PUNCT
ejpam-3663	58	4	)	)	PUNCT
ejpam-3663	58	5	}	}	PUNCT
ejpam-3663	59	1	for	for	ADP
ejpam-3663	59	2	some	some	DET
ejpam-3663	59	3	α	α	NOUN
ejpam-3663	59	4	,	,	PUNCT
ejpam-3663	59	5	β	β	X
ejpam-3663	59	6	>	>	X
ejpam-3663	59	7	0	0	PUNCT
ejpam-3663	59	8	and	and	CCONJ
ejpam-3663	59	9	for	for	ADP
ejpam-3663	59	10	all	all	DET
ejpam-3663	59	11	ζ	ζ	NOUN
ejpam-3663	59	12	,	,	PUNCT
ejpam-3663	59	13	θ	θ	PROPN
ejpam-3663	59	14	,	,	PUNCT
ejpam-3663	59	15	z	z	PROPN
ejpam-3663	59	16	,	,	PUNCT
ejpam-3663	59	17	w.	w.	NOUN
ejpam-3663	59	18	in	in	ADP
ejpam-3663	59	19	above	above	ADP
ejpam-3663	59	20	class	class	NOUN
ejpam-3663	59	21	of	of	ADP
ejpam-3663	59	22	function	function	NOUN
ejpam-3663	59	23	,	,	PUNCT
ejpam-3663	59	24	c1	c1	PROPN
ejpam-3663	59	25	is	be	AUX
ejpam-3663	59	26	some	some	DET
ejpam-3663	59	27	positive	positive	ADJ
ejpam-3663	59	28	constant	constant	NOUN
ejpam-3663	59	29	,	,	PUNCT
ejpam-3663	59	30	which	which	PRON
ejpam-3663	59	31	may	may	AUX
ejpam-3663	59	32	depend	depend	VERB
ejpam-3663	59	33	on	on	ADP
ejpam-3663	59	34	h	h	NOUN
ejpam-3663	59	35	,	,	PUNCT
ejpam-3663	59	36	but	but	CCONJ
ejpam-3663	59	37	not	not	PART
ejpam-3663	59	38	on	on	ADP
ejpam-3663	59	39	ζ	ζ	NOUN
ejpam-3663	59	40	,	,	PUNCT
ejpam-3663	59	41	θ	θ	PROPN
ejpam-3663	59	42	,	,	PUNCT
ejpam-3663	59	43	t.	t.	PROPN
ejpam-3663	59	44	hα	hα	PROPN
ejpam-3663	59	45	,	,	PUNCT
ejpam-3663	59	46	β	β	X
ejpam-3663	59	47	class	class	NOUN
ejpam-3663	59	48	of	of	ADP
ejpam-3663	59	49	function	function	NOUN
ejpam-3663	59	50	is	be	AUX
ejpam-3663	59	51	identical	identical	ADJ
ejpam-3663	59	52	to	to	ADP
ejpam-3663	59	53	lip(α	lip(α	PROPN
ejpam-3663	59	54	,	,	PUNCT
ejpam-3663	59	55	β	β	NOUN
ejpam-3663	59	56	)	)	PUNCT
ejpam-3663	59	57	class	class	NOUN
ejpam-3663	59	58	of	of	ADP
ejpam-3663	59	59	function	function	NOUN
ejpam-3663	59	60	.	.	PUNCT
ejpam-3663	60	1	hα	hα	ADP
ejpam-3663	60	2	,	,	PUNCT
ejpam-3663	60	3	β	β	X
ejpam-3663	60	4	is	be	AUX
ejpam-3663	60	5	a	a	DET
ejpam-3663	60	6	banach	banach	NOUN
ejpam-3663	60	7	space	space	NOUN
ejpam-3663	60	8	,	,	PUNCT
ejpam-3663	60	9	whose	whose	DET
ejpam-3663	60	10	norm	norm	NOUN
ejpam-3663	60	11	‖.‖α	‖.‖α	PROPN
ejpam-3663	60	12	,	,	PUNCT
ejpam-3663	60	13	β	β	X
ejpam-3663	60	14	is	be	AUX
ejpam-3663	60	15	defined	define	VERB
ejpam-3663	60	16	by	by	ADP
ejpam-3663	60	17	‖h‖α	‖h‖α	NOUN
ejpam-3663	60	18	,	,	PUNCT
ejpam-3663	60	19	β	β	NOUN
ejpam-3663	60	20	=	=	SYM
ejpam-3663	60	21	‖h‖c	‖h‖c	NOUN
ejpam-3663	60	22	+	+	CCONJ
ejpam-3663	60	23	sup	sup	NOUN
ejpam-3663	60	24	ζ	ζ	NOUN
ejpam-3663	60	25	6	6	NUM
ejpam-3663	60	26	=	=	SYM
ejpam-3663	60	27	z	z	PROPN
ejpam-3663	60	28	,	,	PUNCT
ejpam-3663	60	29	θ	θ	PROPN
ejpam-3663	60	30	6	6	NUM
ejpam-3663	60	31	=	=	SYM
ejpam-3663	60	32	w	w	PROPN
ejpam-3663	60	33	∆α	∆α	PROPN
ejpam-3663	60	34	,	,	PUNCT
ejpam-3663	60	35	βh(ζ	βh(ζ	NOUN
ejpam-3663	60	36	,	,	PUNCT
ejpam-3663	60	37	θ	θ	PROPN
ejpam-3663	60	38	;	;	PUNCT
ejpam-3663	60	39	z	z	NOUN
ejpam-3663	60	40	,	,	PUNCT
ejpam-3663	60	41	w	w	PROPN
ejpam-3663	60	42	)	)	PUNCT
ejpam-3663	60	43	(	(	PUNCT
ejpam-3663	60	44	8)	8)	NUM
ejpam-3663	60	45	i.e.	i.e.	X
ejpam-3663	60	46	‖h‖α	‖h‖α	NOUN
ejpam-3663	60	47	,	,	PUNCT
ejpam-3663	60	48	β	β	NOUN
ejpam-3663	60	49	=	=	SYM
ejpam-3663	60	50	‖h‖c	‖h‖c	NOUN
ejpam-3663	61	1	+	+	CCONJ
ejpam-3663	61	2	sup	sup	NOUN
ejpam-3663	61	3	ζ	ζ	NOUN
ejpam-3663	61	4	6	6	NUM
ejpam-3663	61	5	=	=	SYM
ejpam-3663	61	6	z	z	PROPN
ejpam-3663	61	7	,	,	PUNCT
ejpam-3663	61	8	θ6	θ6	PROPN
ejpam-3663	61	9	=	=	PROPN
ejpam-3663	61	10	w	w	PROPN
ejpam-3663	61	11	|f(ζ	|f(ζ	PROPN
ejpam-3663	61	12	,	,	PUNCT
ejpam-3663	61	13	θ)−	θ)−	PROPN
ejpam-3663	61	14	f(z	f(z	PROPN
ejpam-3663	61	15	,	,	PUNCT
ejpam-3663	61	16	w)|	w)|	VERB
ejpam-3663	61	17	|ζ	|ζ	PROPN
ejpam-3663	61	18	−	−	PROPN
ejpam-3663	61	19	z|α	z|α	PUNCT
ejpam-3663	62	1	+	+	CCONJ
ejpam-3663	62	2	|θ−	|θ−	NOUN
ejpam-3663	62	3	w|β	w|β	VERB
ejpam-3663	63	1	for	for	ADP
ejpam-3663	63	2	ζ	ζ	PROPN
ejpam-3663	63	3	6=	6=	PROPN
ejpam-3663	63	4	z	z	PROPN
ejpam-3663	63	5	,	,	PUNCT
ejpam-3663	63	6	θ	θ	PROPN
ejpam-3663	63	7	6=	6=	PROPN
ejpam-3663	63	8	w	w	PROPN
ejpam-3663	63	9	h.	h.	PROPN
ejpam-3663	63	10	k.	k.	PROPN
ejpam-3663	63	11	nigam	nigam	PROPN
ejpam-3663	63	12	,	,	PUNCT
ejpam-3663	63	13	md	md	PROPN
ejpam-3663	63	14	hadish	hadish	PROPN
ejpam-3663	63	15	/	/	SYM
ejpam-3663	63	16	eur	eur	PROPN
ejpam-3663	63	17	.	.	PUNCT
ejpam-3663	64	1	j.	j.	PROPN
ejpam-3663	64	2	pure	pure	PROPN
ejpam-3663	64	3	appl	appl	PROPN
ejpam-3663	64	4	.	.	PROPN
ejpam-3663	64	5	math	math	PROPN
ejpam-3663	64	6	,	,	PUNCT
ejpam-3663	64	7	13	13	NUM
ejpam-3663	64	8	(	(	PUNCT
ejpam-3663	64	9	3	3	NUM
ejpam-3663	64	10	)	)	PUNCT
ejpam-3663	64	11	(	(	PUNCT
ejpam-3663	64	12	2020	2020	NUM
ejpam-3663	64	13	)	)	PUNCT
ejpam-3663	64	14	,	,	PUNCT
ejpam-3663	64	15	567	567	NUM
ejpam-3663	64	16	-	-	SYM
ejpam-3663	64	17	578	578	NUM
ejpam-3663	64	18	570	570	NUM
ejpam-3663	64	19	where	where	SCONJ
ejpam-3663	64	20	∆α	∆α	NOUN
ejpam-3663	64	21	,	,	PUNCT
ejpam-3663	64	22	βh(ζ	βh(ζ	NOUN
ejpam-3663	64	23	,	,	PUNCT
ejpam-3663	64	24	θ	θ	PROPN
ejpam-3663	64	25	;	;	PUNCT
ejpam-3663	64	26	z	z	NOUN
ejpam-3663	64	27	,	,	PUNCT
ejpam-3663	64	28	w	w	PROPN
ejpam-3663	64	29	)	)	PUNCT
ejpam-3663	64	30	=	=	SYM
ejpam-3663	64	31	|h(ζ	|h(ζ	NOUN
ejpam-3663	64	32	,	,	PUNCT
ejpam-3663	64	33	θ)−h(z	θ)−h(z	PROPN
ejpam-3663	64	34	,	,	PUNCT
ejpam-3663	64	35	w)|	w)|	VERB
ejpam-3663	64	36	|ζ−z|α+|θ−w|β	|ζ−z|α+|θ−w|β	NOUN
ejpam-3663	64	37	(	(	PUNCT
ejpam-3663	64	38	ζ	ζ	PROPN
ejpam-3663	64	39	6=	6=	PROPN
ejpam-3663	64	40	z	z	PROPN
ejpam-3663	64	41	,	,	PUNCT
ejpam-3663	64	42	θ	θ	PROPN
ejpam-3663	64	43	6=	6=	SYM
ejpam-3663	64	44	w	w	PROPN
ejpam-3663	64	45	)	)	PUNCT
ejpam-3663	64	46	.	.	PUNCT
ejpam-3663	65	1	by	by	ADP
ejpam-3663	65	2	convention	convention	PROPN
ejpam-3663	65	3	∆0,0h(ζ	∆0,0h(ζ	PROPN
ejpam-3663	65	4	,	,	PUNCT
ejpam-3663	65	5	θ	θ	PROPN
ejpam-3663	65	6	;	;	PUNCT
ejpam-3663	65	7	z	z	NOUN
ejpam-3663	65	8	,	,	PUNCT
ejpam-3663	65	9	w	w	PROPN
ejpam-3663	65	10	)	)	PUNCT
ejpam-3663	65	11	=	=	SYM
ejpam-3663	65	12	0	0	NUM
ejpam-3663	65	13	and	and	CCONJ
ejpam-3663	65	14	‖h‖c	‖h‖c	NOUN
ejpam-3663	65	15	=	=	SYM
ejpam-3663	65	16	sup	sup	NOUN
ejpam-3663	65	17	(	(	PUNCT
ejpam-3663	65	18	ζ	ζ	NOUN
ejpam-3663	65	19	,	,	PUNCT
ejpam-3663	65	20	θ)∈s2	θ)∈s2	PROPN
ejpam-3663	65	21	|h(ζ	|h(ζ	PROPN
ejpam-3663	65	22	,	,	PUNCT
ejpam-3663	65	23	θ)|	θ)|	PROPN
ejpam-3663	65	24	.	.	PUNCT
ejpam-3663	66	1	(	(	PUNCT
ejpam-3663	66	2	9	9	NUM
ejpam-3663	66	3	)	)	PUNCT
ejpam-3663	66	4	“	"	PUNCT
ejpam-3663	66	5	the	the	DET
ejpam-3663	66	6	η	η	NOUN
ejpam-3663	66	7	-	-	NOUN
ejpam-3663	66	8	order	order	NOUN
ejpam-3663	66	9	error	error	NOUN
ejpam-3663	66	10	of	of	ADP
ejpam-3663	66	11	approximation	approximation	NOUN
ejpam-3663	66	12	of	of	ADP
ejpam-3663	66	13	a	a	DET
ejpam-3663	66	14	function	function	NOUN
ejpam-3663	66	15	h	h	NOUN
ejpam-3663	66	16	∈	∈	NOUN
ejpam-3663	66	17	c2π	c2π	NOUN
ejpam-3663	66	18	is	be	AUX
ejpam-3663	66	19	defined	define	VERB
ejpam-3663	66	20	by	by	ADP
ejpam-3663	66	21	eη(h	eη(h	PRON
ejpam-3663	66	22	)	)	PUNCT
ejpam-3663	67	1	=	=	VERB
ejpam-3663	67	2	inf	inf	NOUN
ejpam-3663	67	3	tη	tη	PROPN
ejpam-3663	67	4	‖h−	‖h−	PROPN
ejpam-3663	67	5	tη‖	tη‖	PROPN
ejpam-3663	67	6	,	,	PUNCT
ejpam-3663	67	7	where	where	SCONJ
ejpam-3663	67	8	tη	tη	PROPN
ejpam-3663	67	9	is	be	AUX
ejpam-3663	67	10	a	a	DET
ejpam-3663	67	11	trigonometric	trigonometric	ADJ
ejpam-3663	67	12	polynomial	polynomial	NOUN
ejpam-3663	67	13	of	of	ADP
ejpam-3663	67	14	degree	degree	NOUN
ejpam-3663	67	15	η	η	PROPN
ejpam-3663	67	16	(	(	PUNCT
ejpam-3663	67	17	bernstein	bernstein	PROPN
ejpam-3663	68	1	[	[	X
ejpam-3663	68	2	3	3	NUM
ejpam-3663	68	3	]	]	PUNCT
ejpam-3663	68	4	)	)	PUNCT
ejpam-3663	68	5	”	"	PUNCT
ejpam-3663	68	6	.	.	PUNCT
ejpam-3663	69	1	“	"	PUNCT
ejpam-3663	69	2	if	if	SCONJ
ejpam-3663	69	3	eη(h	eη(h	NUM
ejpam-3663	69	4	)	)	PUNCT
ejpam-3663	69	5	→	→	SYM
ejpam-3663	69	6	0	0	NUM
ejpam-3663	69	7	as	as	SCONJ
ejpam-3663	69	8	η	η	PROPN
ejpam-3663	69	9	→	→	SYM
ejpam-3663	69	10	∞	∞	PROPN
ejpam-3663	69	11	,	,	PUNCT
ejpam-3663	69	12	then	then	ADV
ejpam-3663	69	13	eη(h	eη(h	NOUN
ejpam-3663	69	14	)	)	PUNCT
ejpam-3663	69	15	is	be	AUX
ejpam-3663	69	16	said	say	VERB
ejpam-3663	69	17	to	to	PART
ejpam-3663	69	18	be	be	AUX
ejpam-3663	69	19	the	the	DET
ejpam-3663	69	20	best	good	ADJ
ejpam-3663	69	21	approximation	approximation	NOUN
ejpam-3663	69	22	of	of	ADP
ejpam-3663	69	23	h	h	NOUN
ejpam-3663	69	24	(	(	PUNCT
ejpam-3663	69	25	[	[	X
ejpam-3663	69	26	20	20	NUM
ejpam-3663	69	27	]	]	SYM
ejpam-3663	69	28	)	)	PUNCT
ejpam-3663	69	29	”	"	PUNCT
ejpam-3663	69	30	.	.	PUNCT
ejpam-3663	70	1	we	we	PRON
ejpam-3663	70	2	write	write	VERB
ejpam-3663	70	3	φ(t	φ(t	PROPN
ejpam-3663	70	4	)	)	PUNCT
ejpam-3663	71	1	=	=	SYM
ejpam-3663	71	2	h(ζ	h(ζ	PROPN
ejpam-3663	71	3	+	+	PROPN
ejpam-3663	71	4	t	t	PROPN
ejpam-3663	71	5	)	)	PUNCT
ejpam-3663	72	1	+	+	NUM
ejpam-3663	72	2	h(ζ	h(ζ	NOUN
ejpam-3663	72	3	−	−	PROPN
ejpam-3663	72	4	t)−	t)−	PROPN
ejpam-3663	72	5	2h(ζ	2h(ζ	NOUN
ejpam-3663	72	6	)	)	PUNCT
ejpam-3663	72	7	.	.	PUNCT
ejpam-3663	73	1	φ(t	φ(t	PROPN
ejpam-3663	73	2	)	)	PUNCT
ejpam-3663	74	1	=	=	SYM
ejpam-3663	75	1	∫	∫	PROPN
ejpam-3663	75	2	t	t	NOUN
ejpam-3663	75	3	0	0	NUM
ejpam-3663	76	1	|φ(σ)|	|φ(σ)|	NOUN
ejpam-3663	76	2	dσ	dσ	PROPN
ejpam-3663	76	3	.	.	PROPN
ejpam-3663	76	4	φ(σ	φ(σ	PROPN
ejpam-3663	76	5	,	,	PUNCT
ejpam-3663	76	6	τ	τ	X
ejpam-3663	76	7	)	)	PUNCT
ejpam-3663	76	8	=	=	SYM
ejpam-3663	76	9	φ(ζ	φ(ζ	NOUN
ejpam-3663	76	10	,	,	PUNCT
ejpam-3663	76	11	θ;σ	θ;σ	X
ejpam-3663	76	12	,	,	PUNCT
ejpam-3663	76	13	τ	τ	X
ejpam-3663	76	14	)	)	PUNCT
ejpam-3663	76	15	=	=	SYM
ejpam-3663	76	16	1	1	NUM
ejpam-3663	76	17	4	4	NUM
ejpam-3663	76	18	[	[	X
ejpam-3663	76	19	h(ζ	h(ζ	NOUN
ejpam-3663	76	20	+	+	PROPN
ejpam-3663	76	21	σ	σ	PROPN
ejpam-3663	76	22	,	,	PUNCT
ejpam-3663	76	23	θ	θ	PROPN
ejpam-3663	76	24	+	+	CCONJ
ejpam-3663	76	25	τ	τ	X
ejpam-3663	76	26	)	)	PUNCT
ejpam-3663	77	1	+	+	CCONJ
ejpam-3663	77	2	h(ζ	h(ζ	PROPN
ejpam-3663	77	3	+	+	PROPN
ejpam-3663	77	4	σ	σ	PROPN
ejpam-3663	77	5	,	,	PUNCT
ejpam-3663	77	6	θ−	θ−	PROPN
ejpam-3663	77	7	τ	τ	X
ejpam-3663	77	8	)	)	PUNCT
ejpam-3663	78	1	+	+	NUM
ejpam-3663	78	2	h(ζ	h(ζ	PROPN
ejpam-3663	78	3	−	−	PROPN
ejpam-3663	78	4	σ	σ	PROPN
ejpam-3663	78	5	,	,	PUNCT
ejpam-3663	78	6	θ	θ	PROPN
ejpam-3663	78	7	+	+	CCONJ
ejpam-3663	78	8	τ	τ	X
ejpam-3663	78	9	)	)	PUNCT
ejpam-3663	79	1	+	+	NUM
ejpam-3663	79	2	h(ζ	h(ζ	PROPN
ejpam-3663	79	3	−	−	PROPN
ejpam-3663	79	4	σ	σ	PROPN
ejpam-3663	79	5	,	,	PUNCT
ejpam-3663	79	6	θ−	θ−	PROPN
ejpam-3663	79	7	τ)−	τ)−	PROPN
ejpam-3663	79	8	4h(ζ	4h(ζ	PROPN
ejpam-3663	79	9	,	,	PUNCT
ejpam-3663	79	10	θ	θ	PROPN
ejpam-3663	79	11	)	)	PUNCT
ejpam-3663	79	12	]	]	PUNCT
ejpam-3663	79	13	where	where	SCONJ
ejpam-3663	79	14	ψ(σ	ψ(σ	VERB
ejpam-3663	79	15	,	,	PUNCT
ejpam-3663	79	16	τ	τ	PROPN
ejpam-3663	79	17	)	)	PUNCT
ejpam-3663	79	18	:	:	PUNCT
ejpam-3663	79	19	=	=	SYM
ejpam-3663	79	20	ψ(z	ψ(z	PROPN
ejpam-3663	79	21	,	,	PUNCT
ejpam-3663	79	22	w;σ	w;σ	PROPN
ejpam-3663	79	23	,	,	PUNCT
ejpam-3663	79	24	τ	τ	PROPN
ejpam-3663	79	25	)	)	PUNCT
ejpam-3663	79	26	.	.	PUNCT
ejpam-3663	80	1	since	since	SCONJ
ejpam-3663	80	2	h(ζ	h(ζ	PROPN
ejpam-3663	80	3	,	,	PUNCT
ejpam-3663	80	4	θ	θ	PROPN
ejpam-3663	80	5	)	)	PUNCT
ejpam-3663	80	6	∈	∈	PROPN
ejpam-3663	80	7	hα	hα	ADP
ejpam-3663	80	8	,	,	PUNCT
ejpam-3663	80	9	β	β	PROPN
ejpam-3663	80	10	,	,	PUNCT
ejpam-3663	80	11	then	then	ADV
ejpam-3663	80	12	|f	|f	PROPN
ejpam-3663	80	13	(	(	PUNCT
ejpam-3663	80	14	σ	σ	PROPN
ejpam-3663	80	15	,	,	PUNCT
ejpam-3663	80	16	τ)|	τ)|	PROPN
ejpam-3663	80	17	=	=	PUNCT
ejpam-3663	80	18	o(|ζ	o(|ζ	PROPN
ejpam-3663	80	19	−	−	PROPN
ejpam-3663	80	20	z|α	z|α	NOUN
ejpam-3663	80	21	+	+	CCONJ
ejpam-3663	80	22	|θ−	|θ−	NOUN
ejpam-3663	80	23	w|β	w|β	NOUN
ejpam-3663	80	24	)	)	PUNCT
ejpam-3663	80	25	.	.	PUNCT
ejpam-3663	81	1	kλ	kλ	PROPN
ejpam-3663	81	2	ν	ν	X
ejpam-3663	81	3	(	(	PUNCT
ejpam-3663	81	4	σ	σ	PROPN
ejpam-3663	81	5	)	)	PUNCT
ejpam-3663	81	6	=	=	PUNCT
ejpam-3663	82	1	∑ν	∑ν	ADJ
ejpam-3663	82	2	p=0	p=0	X
ejpam-3663	82	3	[	[	PUNCT
ejpam-3663	82	4	ν	ν	X
ejpam-3663	82	5	p	p	X
ejpam-3663	82	6	]	]	X
ejpam-3663	82	7	λp	λp	PRON
ejpam-3663	82	8	sin	sin	NOUN
ejpam-3663	82	9	(	(	PUNCT
ejpam-3663	82	10	p+	p+	NOUN
ejpam-3663	82	11	1	1	NUM
ejpam-3663	82	12	2	2	NUM
ejpam-3663	82	13	)	)	PUNCT
ejpam-3663	82	14	σ	σ	NOUN
ejpam-3663	82	15	γ(λ+	γ(λ+	NUM
ejpam-3663	82	16	ν	ν	NOUN
ejpam-3663	82	17	)	)	PUNCT
ejpam-3663	82	18	sin	sin	NOUN
ejpam-3663	82	19	(	(	PUNCT
ejpam-3663	82	20	σ	σ	NOUN
ejpam-3663	82	21	2	2	NUM
ejpam-3663	82	22	)	)	PUNCT
ejpam-3663	82	23	.	.	PUNCT
ejpam-3663	83	1	kµ	kµ	PROPN
ejpam-3663	83	2	ρ	ρ	PROPN
ejpam-3663	83	3	(	(	PUNCT
ejpam-3663	83	4	τ	τ	X
ejpam-3663	83	5	)	)	PUNCT
ejpam-3663	83	6	=	=	PUNCT
ejpam-3663	84	1	∑ρ	∑ρ	ADJ
ejpam-3663	84	2	q=0	q=0	X
ejpam-3663	84	3	[	[	PUNCT
ejpam-3663	84	4	ρ	ρ	PROPN
ejpam-3663	84	5	q	q	X
ejpam-3663	84	6	]	]	X
ejpam-3663	84	7	µq	µq	AUX
ejpam-3663	84	8	sin	sin	NOUN
ejpam-3663	84	9	(	(	PUNCT
ejpam-3663	84	10	q	q	NOUN
ejpam-3663	84	11	+	+	NUM
ejpam-3663	84	12	1	1	NUM
ejpam-3663	84	13	2	2	NUM
ejpam-3663	84	14	)	)	PUNCT
ejpam-3663	84	15	τ	τ	PROPN
ejpam-3663	84	16	γ(µ+	γ(µ+	PROPN
ejpam-3663	84	17	ρ	ρ	PROPN
ejpam-3663	84	18	)	)	PUNCT
ejpam-3663	84	19	sin	sin	NOUN
ejpam-3663	84	20	(	(	PUNCT
ejpam-3663	84	21	τ	τ	X
ejpam-3663	84	22	2	2	NUM
ejpam-3663	84	23	)	)	PUNCT
ejpam-3663	84	24	.	.	PUNCT
ejpam-3663	85	1	3	3	X
ejpam-3663	85	2	.	.	X
ejpam-3663	85	3	main	main	ADJ
ejpam-3663	85	4	theorem	theorem	NOUN
ejpam-3663	85	5	theorem	theorem	NOUN
ejpam-3663	85	6	1	1	NUM
ejpam-3663	85	7	.	.	PUNCT
ejpam-3663	86	1	the	the	DET
ejpam-3663	86	2	best	good	ADJ
ejpam-3663	86	3	approximation	approximation	NOUN
ejpam-3663	86	4	of	of	ADP
ejpam-3663	86	5	a	a	DET
ejpam-3663	86	6	2π	2π	NOUN
ejpam-3663	86	7	-	-	ADJ
ejpam-3663	86	8	periodic	periodic	ADJ
ejpam-3663	86	9	function	function	NOUN
ejpam-3663	86	10	h(ζ	h(ζ	PROPN
ejpam-3663	86	11	,	,	PUNCT
ejpam-3663	86	12	θ	θ	PROPN
ejpam-3663	86	13	)	)	PUNCT
ejpam-3663	86	14	of	of	ADP
ejpam-3663	86	15	two	two	NUM
ejpam-3663	86	16	variables	variable	NOUN
ejpam-3663	86	17	ζ	ζ	NOUN
ejpam-3663	86	18	and	and	CCONJ
ejpam-3663	86	19	θ	θ	PROPN
ejpam-3663	86	20	and	and	CCONJ
ejpam-3663	86	21	lebesgue	lebesgue	PROPN
ejpam-3663	86	22	integrable	integrable	ADJ
ejpam-3663	86	23	over	over	ADP
ejpam-3663	86	24	s2(−π	s2(−π	PROPN
ejpam-3663	86	25	,	,	PUNCT
ejpam-3663	86	26	π;−π	π;−π	X
ejpam-3663	86	27	,	,	PUNCT
ejpam-3663	86	28	π	π	NOUN
ejpam-3663	86	29	)	)	PUNCT
ejpam-3663	86	30	in	in	ADP
ejpam-3663	86	31	hα	hα	ADP
ejpam-3663	86	32	,	,	PUNCT
ejpam-3663	86	33	β	β	X
ejpam-3663	86	34	,	,	PUNCT
ejpam-3663	86	35	0	0	NUM
ejpam-3663	86	36	<	<	X
ejpam-3663	86	37	α	α	X
ejpam-3663	86	38	,	,	PUNCT
ejpam-3663	86	39	β	β	X
ejpam-3663	86	40	≤	≤	ADJ
ejpam-3663	86	41	1	1	NUM
ejpam-3663	86	42	class	class	NOUN
ejpam-3663	86	43	by	by	ADP
ejpam-3663	86	44	double	double	ADJ
ejpam-3663	86	45	karamata	karamata	NOUN
ejpam-3663	86	46	(	(	PUNCT
ejpam-3663	86	47	kλ,µ	kλ,µ	NOUN
ejpam-3663	86	48	)	)	PUNCT
ejpam-3663	86	49	method	method	NOUN
ejpam-3663	86	50	of	of	ADP
ejpam-3663	86	51	its	its	PRON
ejpam-3663	86	52	double	double	ADJ
ejpam-3663	86	53	fourier	fourier	NOUN
ejpam-3663	86	54	series	series	NOUN
ejpam-3663	86	55	is	be	AUX
ejpam-3663	86	56	given	give	VERB
ejpam-3663	86	57	by	by	ADP
ejpam-3663	86	58	‖sλ,µν	‖sλ,µν	NOUN
ejpam-3663	86	59	,	,	PUNCT
ejpam-3663	86	60	ρ	ρ	PROPN
ejpam-3663	86	61	(	(	PUNCT
ejpam-3663	86	62	ζ	ζ	NOUN
ejpam-3663	86	63	,	,	PUNCT
ejpam-3663	86	64	θ)−	θ)−	PROPN
ejpam-3663	86	65	h(ζ	h(ζ	PROPN
ejpam-3663	86	66	,	,	PUNCT
ejpam-3663	86	67	θ)‖α	θ)‖α	ADJ
ejpam-3663	86	68	,	,	PUNCT
ejpam-3663	86	69	β	β	X
ejpam-3663	86	70	=	=	PUNCT
ejpam-3663	86	71	o	o	X
ejpam-3663	86	72	[	[	PUNCT
ejpam-3663	86	73	m	m	NOUN
ejpam-3663	86	74	n	n	PRON
ejpam-3663	86	75	γλγµ	γλγµ	ADJ
ejpam-3663	86	76	(	(	PUNCT
ejpam-3663	86	77	ν	ν	X
ejpam-3663	86	78	+	+	NOUN
ejpam-3663	86	79	1)(ρ+	1)(ρ+	NUM
ejpam-3663	86	80	1	1	NUM
ejpam-3663	86	81	)	)	PUNCT
ejpam-3663	86	82	(	(	PUNCT
ejpam-3663	86	83	1	1	NUM
ejpam-3663	86	84	(	(	PUNCT
ejpam-3663	86	85	ν	ν	X
ejpam-3663	86	86	+	+	CCONJ
ejpam-3663	86	87	1)α	1)α	NUM
ejpam-3663	86	88	+	+	CCONJ
ejpam-3663	86	89	1	1	NUM
ejpam-3663	86	90	(	(	PUNCT
ejpam-3663	86	91	ρ+	ρ+	NUM
ejpam-3663	86	92	1)β	1)β	NUM
ejpam-3663	86	93	+	+	SYM
ejpam-3663	86	94	1	1	NUM
ejpam-3663	86	95	)	)	PUNCT
ejpam-3663	86	96	]	]	PUNCT
ejpam-3663	87	1	+	+	PUNCT
ejpam-3663	87	2	o	o	X
ejpam-3663	87	3	[	[	PUNCT
ejpam-3663	87	4	m	m	NOUN
ejpam-3663	87	5	γλγµ	γλγµ	NOUN
ejpam-3663	87	6	(	(	PUNCT
ejpam-3663	87	7	ν	ν	X
ejpam-3663	87	8	+	+	PROPN
ejpam-3663	87	9	1)γ(µ+	1)γ(µ+	PROPN
ejpam-3663	87	10	ρ	ρ	NOUN
ejpam-3663	87	11	)	)	PUNCT
ejpam-3663	87	12	(	(	PUNCT
ejpam-3663	87	13	1	1	NUM
ejpam-3663	87	14	+	+	CCONJ
ejpam-3663	87	15	lnπ(ρ+	lnπ(ρ+	ADJ
ejpam-3663	87	16	1	1	NUM
ejpam-3663	87	17	)	)	PUNCT
ejpam-3663	87	18	(	(	PUNCT
ejpam-3663	87	19	ν	ν	X
ejpam-3663	87	20	+	+	CCONJ
ejpam-3663	87	21	1)α	1)α	NUM
ejpam-3663	87	22	+	+	CCONJ
ejpam-3663	87	23	lnπ(ρ+	lnπ(ρ+	ADJ
ejpam-3663	87	24	1	1	NUM
ejpam-3663	87	25	)	)	PUNCT
ejpam-3663	87	26	)	)	PUNCT
ejpam-3663	87	27	]	]	PUNCT
ejpam-3663	88	1	h.	h.	PROPN
ejpam-3663	88	2	k.	k.	PROPN
ejpam-3663	88	3	nigam	nigam	PROPN
ejpam-3663	88	4	,	,	PUNCT
ejpam-3663	88	5	md	md	PROPN
ejpam-3663	88	6	hadish	hadish	PROPN
ejpam-3663	88	7	/	/	SYM
ejpam-3663	88	8	eur	eur	PROPN
ejpam-3663	88	9	.	.	PUNCT
ejpam-3663	89	1	j.	j.	PROPN
ejpam-3663	89	2	pure	pure	PROPN
ejpam-3663	89	3	appl	appl	PROPN
ejpam-3663	89	4	.	.	PROPN
ejpam-3663	89	5	math	math	PROPN
ejpam-3663	89	6	,	,	PUNCT
ejpam-3663	89	7	13	13	NUM
ejpam-3663	89	8	(	(	PUNCT
ejpam-3663	89	9	3	3	NUM
ejpam-3663	89	10	)	)	PUNCT
ejpam-3663	89	11	(	(	PUNCT
ejpam-3663	89	12	2020	2020	NUM
ejpam-3663	89	13	)	)	PUNCT
ejpam-3663	89	14	,	,	PUNCT
ejpam-3663	89	15	567	567	NUM
ejpam-3663	89	16	-	-	SYM
ejpam-3663	89	17	578	578	NUM
ejpam-3663	89	18	571	571	NUM
ejpam-3663	89	19	+	+	NOUN
ejpam-3663	89	20	o	o	X
ejpam-3663	89	21	[	[	PUNCT
ejpam-3663	89	22	n	n	X
ejpam-3663	89	23	γλγµ	γλγµ	NOUN
ejpam-3663	89	24	(	(	PUNCT
ejpam-3663	89	25	ρ+	ρ+	NUM
ejpam-3663	89	26	1)γ(λ+	1)γ(λ+	PROPN
ejpam-3663	89	27	ν	ν	PROPN
ejpam-3663	89	28	)	)	PUNCT
ejpam-3663	89	29	(	(	PUNCT
ejpam-3663	89	30	1	1	NUM
ejpam-3663	89	31	+	+	CCONJ
ejpam-3663	89	32	lnπ(ρ+	lnπ(ρ+	ADJ
ejpam-3663	89	33	1	1	NUM
ejpam-3663	89	34	)	)	PUNCT
ejpam-3663	89	35	(	(	PUNCT
ejpam-3663	89	36	ρ+	ρ+	NUM
ejpam-3663	89	37	1)β	1)β	NUM
ejpam-3663	89	38	+	+	CCONJ
ejpam-3663	90	1	lnπ(ν	lnπ(ν	ADJ
ejpam-3663	91	1	+	+	NUM
ejpam-3663	91	2	1	1	NUM
ejpam-3663	91	3	)	)	PUNCT
ejpam-3663	91	4	)	)	PUNCT
ejpam-3663	92	1	]	]	PUNCT
ejpam-3663	93	1	+	+	PUNCT
ejpam-3663	93	2	o	o	X
ejpam-3663	93	3	[	[	PUNCT
ejpam-3663	93	4	γλγµ	γλγµ	PROPN
ejpam-3663	93	5	γ(λ+	γ(λ+	X
ejpam-3663	93	6	ν)γ(µ+	ν)γ(µ+	PROPN
ejpam-3663	93	7	ρ	ρ	PROPN
ejpam-3663	93	8	)	)	PUNCT
ejpam-3663	93	9	(	(	PUNCT
ejpam-3663	93	10	ln	ln	X
ejpam-3663	93	11	(	(	PUNCT
ejpam-3663	93	12	(	(	PUNCT
ejpam-3663	93	13	ν	ν	X
ejpam-3663	93	14	+	+	NOUN
ejpam-3663	93	15	1)(ρ+	1)(ρ+	NUM
ejpam-3663	93	16	1)π2	1)π2	NUM
ejpam-3663	93	17	)	)	PUNCT
ejpam-3663	93	18	+	+	CCONJ
ejpam-3663	93	19	{	{	PUNCT
ejpam-3663	93	20	lnπ(ν	lnπ(ν	X
ejpam-3663	93	21	+	+	NUM
ejpam-3663	93	22	1)}{lnπ(ρ+	1)}{lnπ(ρ+	NUM
ejpam-3663	93	23	1	1	NUM
ejpam-3663	93	24	)	)	PUNCT
ejpam-3663	93	25	}	}	PUNCT
ejpam-3663	93	26	)	)	PUNCT
ejpam-3663	93	27	]	]	PUNCT
ejpam-3663	94	1	where	where	SCONJ
ejpam-3663	94	2	m	m	VERB
ejpam-3663	94	3	=	=	SYM
ejpam-3663	94	4	λ	λ	X
ejpam-3663	94	5	ln(ν	ln(ν	NOUN
ejpam-3663	94	6	+	+	NOUN
ejpam-3663	94	7	1	1	NUM
ejpam-3663	94	8	)	)	PUNCT
ejpam-3663	94	9	+	+	CCONJ
ejpam-3663	94	10	1	1	NUM
ejpam-3663	94	11	and	and	CCONJ
ejpam-3663	94	12	n	n	NOUN
ejpam-3663	94	13	=	=	SYM
ejpam-3663	94	14	µ	µ	X
ejpam-3663	94	15	ln(ρ+	ln(ρ+	DET
ejpam-3663	94	16	1	1	NUM
ejpam-3663	94	17	)	)	PUNCT
ejpam-3663	94	18	+	+	CCONJ
ejpam-3663	94	19	1	1	NUM
ejpam-3663	94	20	.	.	X
ejpam-3663	94	21	4	4	NUM
ejpam-3663	94	22	.	.	PUNCT
ejpam-3663	95	1	lemmas	lemmas	PROPN
ejpam-3663	95	2	lemma	lemma	PROPN
ejpam-3663	95	3	1	1	NUM
ejpam-3663	95	4	.	.	PUNCT
ejpam-3663	96	1	“	"	PUNCT
ejpam-3663	96	2	(	(	PUNCT
ejpam-3663	96	3	[	[	X
ejpam-3663	96	4	19	19	NUM
ejpam-3663	96	5	]	]	NUM
ejpam-3663	96	6	)	)	PUNCT
ejpam-3663	96	7	.	.	PUNCT
ejpam-3663	97	1	let	let	VERB
ejpam-3663	97	2	λ	λ	INTJ
ejpam-3663	97	3	>	>	X
ejpam-3663	97	4	0	0	PUNCT
ejpam-3663	98	1	and	and	CCONJ
ejpam-3663	98	2	0	0	NUM
ejpam-3663	98	3	<	<	X
ejpam-3663	98	4	t	t	X
ejpam-3663	98	5	<	<	X
ejpam-3663	98	6	π	π	PROPN
ejpam-3663	98	7	2	2	NUM
ejpam-3663	98	8	then	then	ADV
ejpam-3663	98	9	imγ(λeit	imγ(λeit	PROPN
ejpam-3663	98	10	+	+	CCONJ
ejpam-3663	98	11	ρ	ρ	NOUN
ejpam-3663	98	12	)	)	PUNCT
ejpam-3663	98	13	γ(λ	γ(λ	PROPN
ejpam-3663	98	14	cos	cos	PROPN
ejpam-3663	98	15	t+	t+	NOUN
ejpam-3663	98	16	ρ	ρ	NOUN
ejpam-3663	98	17	)	)	PUNCT
ejpam-3663	98	18	sin	sin	NOUN
ejpam-3663	98	19	(	(	PUNCT
ejpam-3663	98	20	t	t	NOUN
ejpam-3663	98	21	2	2	NUM
ejpam-3663	98	22	)	)	PUNCT
ejpam-3663	98	23	=	=	SYM
ejpam-3663	99	1	|	|	CCONJ
ejpam-3663	99	2	sin(λ	sin(λ	NOUN
ejpam-3663	99	3	ln(ρ+	ln(ρ+	PRON
ejpam-3663	99	4	1	1	NUM
ejpam-3663	99	5	)	)	PUNCT
ejpam-3663	99	6	.	.	PUNCT
ejpam-3663	100	1	sin	sin	NOUN
ejpam-3663	100	2	t)|	t)|	NOUN
ejpam-3663	100	3	sin	sin	NOUN
ejpam-3663	100	4	(	(	PUNCT
ejpam-3663	100	5	t	t	PROPN
ejpam-3663	100	6	2	2	NUM
ejpam-3663	100	7	)	)	PUNCT
ejpam-3663	100	8	+	+	NOUN
ejpam-3663	100	9	o(1	o(1	NOUN
ejpam-3663	100	10	)	)	PUNCT
ejpam-3663	100	11	as	as	ADP
ejpam-3663	100	12	ρ→∞	ρ→∞	NUM
ejpam-3663	100	13	uniformly	uniformly	ADV
ejpam-3663	100	14	in	in	ADP
ejpam-3663	100	15	t	t	PROPN
ejpam-3663	100	16	”	"	PUNCT
ejpam-3663	100	17	.	.	PUNCT
ejpam-3663	101	1	lemma	lemma	PROPN
ejpam-3663	101	2	2	2	NUM
ejpam-3663	101	3	.	.	PUNCT
ejpam-3663	102	1	“	"	PUNCT
ejpam-3663	102	2	(	(	PUNCT
ejpam-3663	102	3	[	[	X
ejpam-3663	102	4	12	12	NUM
ejpam-3663	102	5	]	]	PUNCT
ejpam-3663	102	6	)	)	PUNCT
ejpam-3663	102	7	.	.	PUNCT
ejpam-3663	103	1	for	for	ADP
ejpam-3663	103	2	0	0	NUM
ejpam-3663	103	3	<	<	X
ejpam-3663	103	4	σ	σ	X
ejpam-3663	103	5	<	<	X
ejpam-3663	103	6	1	1	NUM
ejpam-3663	103	7	ν+1	ν+1	NUM
ejpam-3663	103	8	,	,	PUNCT
ejpam-3663	103	9	kλ	kλ	ADP
ejpam-3663	103	10	ν	ν	X
ejpam-3663	103	11	(	(	PUNCT
ejpam-3663	103	12	σ	σ	PROPN
ejpam-3663	103	13	)	)	PUNCT
ejpam-3663	103	14	=	=	SYM
ejpam-3663	104	1	o	o	X
ejpam-3663	105	1	[	[	X
ejpam-3663	105	2	λ	λ	X
ejpam-3663	105	3	ln(ν	ln(ν	PUNCT
ejpam-3663	105	4	+	+	NOUN
ejpam-3663	105	5	1	1	NUM
ejpam-3663	105	6	)	)	PUNCT
ejpam-3663	105	7	]	]	PUNCT
ejpam-3663	106	1	+	+	NOUN
ejpam-3663	106	2	o(1	o(1	NOUN
ejpam-3663	106	3	)	)	PUNCT
ejpam-3663	106	4	and	and	CCONJ
ejpam-3663	106	5	for	for	ADP
ejpam-3663	106	6	0	0	NUM
ejpam-3663	106	7	<	<	X
ejpam-3663	106	8	τ	τ	X
ejpam-3663	106	9	<	<	X
ejpam-3663	106	10	1	1	NUM
ejpam-3663	106	11	ρ+1	ρ+1	NOUN
ejpam-3663	106	12	,	,	PUNCT
ejpam-3663	106	13	kµ	kµ	PROPN
ejpam-3663	106	14	ρ	ρ	PROPN
ejpam-3663	106	15	(	(	PUNCT
ejpam-3663	106	16	τ	τ	X
ejpam-3663	106	17	)	)	PUNCT
ejpam-3663	107	1	=	=	SYM
ejpam-3663	107	2	o	o	X
ejpam-3663	108	1	[	[	X
ejpam-3663	108	2	µ	µ	X
ejpam-3663	108	3	ln(ρ+	ln(ρ+	DET
ejpam-3663	108	4	1	1	NUM
ejpam-3663	108	5	)	)	PUNCT
ejpam-3663	108	6	]	]	PUNCT
ejpam-3663	109	1	+	+	NOUN
ejpam-3663	109	2	o(1	o(1	NOUN
ejpam-3663	109	3	)	)	PUNCT
ejpam-3663	109	4	”	"	PUNCT
ejpam-3663	109	5	.	.	PUNCT
ejpam-3663	110	1	lemma	lemma	PROPN
ejpam-3663	110	2	3	3	X
ejpam-3663	110	3	.	.	PUNCT
ejpam-3663	111	1	for	for	ADP
ejpam-3663	111	2	1	1	NUM
ejpam-3663	111	3	ν+1	ν+1	PROPN
ejpam-3663	111	4	≤	≤	PROPN
ejpam-3663	111	5	σ	σ	NOUN
ejpam-3663	111	6	≤	≤	NUM
ejpam-3663	111	7	π	π	NOUN
ejpam-3663	111	8	kλ	kλ	X
ejpam-3663	111	9	ν	ν	PROPN
ejpam-3663	111	10	(	(	PUNCT
ejpam-3663	111	11	σ	σ	PROPN
ejpam-3663	111	12	)	)	PUNCT
ejpam-3663	111	13	=	=	SYM
ejpam-3663	111	14	o	o	X
ejpam-3663	111	15	[	[	PUNCT
ejpam-3663	111	16	1	1	NUM
ejpam-3663	111	17	σ	σ	NOUN
ejpam-3663	111	18	γλ	γλ	PROPN
ejpam-3663	111	19	]	]	PUNCT
ejpam-3663	111	20	.	.	PUNCT
ejpam-3663	112	1	proof	proof	NOUN
ejpam-3663	112	2	.	.	PUNCT
ejpam-3663	113	1	using	use	VERB
ejpam-3663	113	2	sin	sin	NOUN
ejpam-3663	113	3	σ	σ	PROPN
ejpam-3663	113	4	2	2	NUM
ejpam-3663	113	5	≥	≥	NOUN
ejpam-3663	113	6	σ	σ	NOUN
ejpam-3663	113	7	π	π	PROPN
ejpam-3663	113	8	and	and	CCONJ
ejpam-3663	113	9	|	|	ADV
ejpam-3663	113	10	sin(ρσ)|	sin(ρσ)|	VERB
ejpam-3663	113	11	≤	≤	ADJ
ejpam-3663	113	12	1	1	NUM
ejpam-3663	113	13	|kλ	|kλ	NUM
ejpam-3663	113	14	ν	ν	NOUN
ejpam-3663	113	15	(	(	PUNCT
ejpam-3663	113	16	σ)|	σ)|	NOUN
ejpam-3663	113	17	=	=	PUNCT
ejpam-3663	113	18	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3663	114	1	∑ν	∑ν	ADP
ejpam-3663	114	2	p=0	p=0	X
ejpam-3663	114	3	[	[	PUNCT
ejpam-3663	114	4	ν	ν	X
ejpam-3663	114	5	p	p	X
ejpam-3663	114	6	]	]	X
ejpam-3663	114	7	λp	λp	PRON
ejpam-3663	114	8	sin	sin	NOUN
ejpam-3663	114	9	(	(	PUNCT
ejpam-3663	114	10	p+	p+	NOUN
ejpam-3663	114	11	1	1	NUM
ejpam-3663	114	12	2	2	NUM
ejpam-3663	114	13	)	)	PUNCT
ejpam-3663	114	14	σ	σ	NOUN
ejpam-3663	114	15	γ(λ+	γ(λ+	NUM
ejpam-3663	114	16	ν	ν	NOUN
ejpam-3663	114	17	)	)	PUNCT
ejpam-3663	114	18	sin	sin	NOUN
ejpam-3663	114	19	(	(	PUNCT
ejpam-3663	114	20	σ	σ	NOUN
ejpam-3663	114	21	2	2	NUM
ejpam-3663	114	22	)	)	PUNCT
ejpam-3663	114	23	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3663	114	24	≤	≤	ADV
ejpam-3663	114	25	1	1	NUM
ejpam-3663	114	26	γ(λ+	γ(λ+	NUM
ejpam-3663	114	27	ν	ν	NOUN
ejpam-3663	114	28	)	)	PUNCT
ejpam-3663	114	29	ν∑	ν∑	PROPN
ejpam-3663	115	1	p=0	p=0	PROPN
ejpam-3663	115	2	[	[	PUNCT
ejpam-3663	115	3	ν	ν	X
ejpam-3663	115	4	p	p	X
ejpam-3663	115	5	]	]	X
ejpam-3663	115	6	λp	λp	X
ejpam-3663	115	7	1	1	NUM
ejpam-3663	115	8	sin	sin	NOUN
ejpam-3663	115	9	(	(	PUNCT
ejpam-3663	115	10	σ	σ	NOUN
ejpam-3663	115	11	2	2	NUM
ejpam-3663	115	12	)	)	PUNCT
ejpam-3663	115	13	=	=	SYM
ejpam-3663	116	1	o	o	X
ejpam-3663	116	2	[	[	PUNCT
ejpam-3663	116	3	1	1	NUM
ejpam-3663	116	4	σ	σ	NOUN
ejpam-3663	116	5	γλ	γλ	PROPN
ejpam-3663	116	6	]	]	PUNCT
ejpam-3663	116	7	.	.	PUNCT
ejpam-3663	117	1	lemma	lemma	PROPN
ejpam-3663	117	2	4	4	X
ejpam-3663	117	3	.	.	PUNCT
ejpam-3663	118	1	for	for	ADP
ejpam-3663	118	2	1	1	NUM
ejpam-3663	118	3	ρ+1	ρ+1	PROPN
ejpam-3663	118	4	≤	≤	NUM
ejpam-3663	118	5	τ	τ	X
ejpam-3663	118	6	≤	≤	NUM
ejpam-3663	119	1	π	π	PROPN
ejpam-3663	119	2	kµ	kµ	PROPN
ejpam-3663	119	3	ρ	ρ	PROPN
ejpam-3663	119	4	(	(	PUNCT
ejpam-3663	119	5	τ	τ	X
ejpam-3663	119	6	)	)	PUNCT
ejpam-3663	119	7	=	=	SYM
ejpam-3663	120	1	o	o	NOUN
ejpam-3663	120	2	[	[	PUNCT
ejpam-3663	120	3	1	1	NUM
ejpam-3663	120	4	τ	τ	NOUN
ejpam-3663	120	5	γµ	γµ	X
ejpam-3663	120	6	]	]	PUNCT
ejpam-3663	120	7	.	.	PUNCT
ejpam-3663	121	1	proof	proof	NOUN
ejpam-3663	121	2	.	.	PUNCT
ejpam-3663	122	1	this	this	PRON
ejpam-3663	122	2	can	can	AUX
ejpam-3663	122	3	be	be	AUX
ejpam-3663	122	4	proved	prove	VERB
ejpam-3663	122	5	along	along	ADP
ejpam-3663	122	6	the	the	DET
ejpam-3663	122	7	same	same	ADJ
ejpam-3663	122	8	lines	line	NOUN
ejpam-3663	122	9	of	of	ADP
ejpam-3663	122	10	lemma	lemma	PROPN
ejpam-3663	122	11	4.3	4.3	NUM
ejpam-3663	122	12	.	.	PUNCT
ejpam-3663	123	1	h.	h.	PROPN
ejpam-3663	123	2	k.	k.	PROPN
ejpam-3663	123	3	nigam	nigam	PROPN
ejpam-3663	123	4	,	,	PUNCT
ejpam-3663	123	5	md	md	PROPN
ejpam-3663	123	6	hadish	hadish	PROPN
ejpam-3663	123	7	/	/	SYM
ejpam-3663	123	8	eur	eur	PROPN
ejpam-3663	123	9	.	.	PUNCT
ejpam-3663	124	1	j.	j.	PROPN
ejpam-3663	124	2	pure	pure	PROPN
ejpam-3663	124	3	appl	appl	PROPN
ejpam-3663	124	4	.	.	PROPN
ejpam-3663	124	5	math	math	PROPN
ejpam-3663	124	6	,	,	PUNCT
ejpam-3663	124	7	13	13	NUM
ejpam-3663	124	8	(	(	PUNCT
ejpam-3663	124	9	3	3	NUM
ejpam-3663	124	10	)	)	PUNCT
ejpam-3663	124	11	(	(	PUNCT
ejpam-3663	124	12	2020	2020	NUM
ejpam-3663	124	13	)	)	PUNCT
ejpam-3663	124	14	,	,	PUNCT
ejpam-3663	124	15	567	567	NUM
ejpam-3663	124	16	-	-	SYM
ejpam-3663	124	17	578	578	NUM
ejpam-3663	124	18	572	572	NUM
ejpam-3663	124	19	5	5	NUM
ejpam-3663	124	20	.	.	PUNCT
ejpam-3663	125	1	proof	proof	NOUN
ejpam-3663	125	2	of	of	ADP
ejpam-3663	125	3	the	the	DET
ejpam-3663	125	4	main	main	ADJ
ejpam-3663	125	5	theorem	theorem	NOUN
ejpam-3663	125	6	let	let	VERB
ejpam-3663	125	7	sν	sν	NOUN
ejpam-3663	125	8	,	,	PUNCT
ejpam-3663	125	9	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	125	10	,	,	PUNCT
ejpam-3663	125	11	θ	θ	NOUN
ejpam-3663	125	12	)	)	PUNCT
ejpam-3663	125	13	denote	denote	VERB
ejpam-3663	125	14	the	the	DET
ejpam-3663	125	15	(	(	PUNCT
ejpam-3663	125	16	ν	ν	NOUN
ejpam-3663	125	17	,	,	PUNCT
ejpam-3663	125	18	ρ)th	ρ)th	PROPN
ejpam-3663	125	19	partial	partial	ADJ
ejpam-3663	125	20	sum	sum	NOUN
ejpam-3663	125	21	of	of	ADP
ejpam-3663	125	22	the	the	DET
ejpam-3663	125	23	series	series	NOUN
ejpam-3663	125	24	(	(	PUNCT
ejpam-3663	125	25	2	2	NUM
ejpam-3663	125	26	)	)	PUNCT
ejpam-3663	125	27	,	,	PUNCT
ejpam-3663	125	28	we	we	PRON
ejpam-3663	125	29	have	have	AUX
ejpam-3663	125	30	sν	sν	NOUN
ejpam-3663	125	31	,	,	PUNCT
ejpam-3663	125	32	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	125	33	,	,	PUNCT
ejpam-3663	125	34	θ)−	θ)−	PROPN
ejpam-3663	125	35	h(ζ	h(ζ	PROPN
ejpam-3663	125	36	,	,	PUNCT
ejpam-3663	125	37	θ	θ	PROPN
ejpam-3663	125	38	)	)	PUNCT
ejpam-3663	125	39	=	=	SYM
ejpam-3663	126	1	1	1	NUM
ejpam-3663	126	2	π2	π2	NUM
ejpam-3663	126	3	∫	∫	PROPN
ejpam-3663	126	4	π	π	X
ejpam-3663	126	5	0	0	PUNCT
ejpam-3663	127	1	∫	∫	PROPN
ejpam-3663	128	1	π	π	NOUN
ejpam-3663	128	2	0	0	NUM
ejpam-3663	128	3	φ(σ	φ(σ	PROPN
ejpam-3663	128	4	,	,	PUNCT
ejpam-3663	128	5	τ	τ	X
ejpam-3663	128	6	)	)	PUNCT
ejpam-3663	128	7	sin	sin	NOUN
ejpam-3663	128	8	(	(	PUNCT
ejpam-3663	128	9	ν	ν	X
ejpam-3663	128	10	+	+	NOUN
ejpam-3663	128	11	1	1	NUM
ejpam-3663	128	12	2	2	NUM
ejpam-3663	128	13	)	)	PUNCT
ejpam-3663	128	14	σ	σ	NOUN
ejpam-3663	128	15	sin	sin	NOUN
ejpam-3663	128	16	(	(	PUNCT
ejpam-3663	128	17	σ	σ	PROPN
ejpam-3663	128	18	2	2	NUM
ejpam-3663	128	19	)	)	PUNCT
ejpam-3663	128	20	.	.	PUNCT
ejpam-3663	129	1	sin	sin	NOUN
ejpam-3663	129	2	(	(	PUNCT
ejpam-3663	129	3	ρ+	ρ+	NUM
ejpam-3663	129	4	1	1	NUM
ejpam-3663	129	5	2	2	NUM
ejpam-3663	129	6	)	)	PUNCT
ejpam-3663	129	7	τ	τ	PROPN
ejpam-3663	129	8	sin	sin	NOUN
ejpam-3663	129	9	(	(	PUNCT
ejpam-3663	129	10	τ	τ	X
ejpam-3663	129	11	2	2	X
ejpam-3663	129	12	)	)	PUNCT
ejpam-3663	129	13	dσ	dσ	PROPN
ejpam-3663	129	14	dτ	dτ	PROPN
ejpam-3663	129	15	.	.	PROPN
ejpam-3663	129	16	denoting	denote	VERB
ejpam-3663	129	17	kλ,µ	kλ,µ	PROPN
ejpam-3663	129	18	means	mean	NOUN
ejpam-3663	129	19	of	of	ADP
ejpam-3663	129	20	{	{	PUNCT
ejpam-3663	129	21	sν	sν	NOUN
ejpam-3663	129	22	,	,	PUNCT
ejpam-3663	129	23	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	129	24	,	,	PUNCT
ejpam-3663	129	25	θ	θ	NOUN
ejpam-3663	129	26	)	)	PUNCT
ejpam-3663	129	27	}	}	PUNCT
ejpam-3663	129	28	by	by	ADP
ejpam-3663	129	29	sλ,µν	sλ,µν	PROPN
ejpam-3663	129	30	,	,	PUNCT
ejpam-3663	129	31	ρ	ρ	PROPN
ejpam-3663	129	32	(	(	PUNCT
ejpam-3663	129	33	ζ	ζ	NOUN
ejpam-3663	129	34	,	,	PUNCT
ejpam-3663	129	35	θ	θ	PROPN
ejpam-3663	129	36	)	)	PUNCT
ejpam-3663	129	37	,	,	PUNCT
ejpam-3663	129	38	we	we	PRON
ejpam-3663	129	39	get	get	VERB
ejpam-3663	129	40	sλ,µν	sλ,µν	NOUN
ejpam-3663	129	41	,	,	PUNCT
ejpam-3663	129	42	ρ	ρ	PROPN
ejpam-3663	129	43	(	(	PUNCT
ejpam-3663	129	44	ζ	ζ	NOUN
ejpam-3663	129	45	,	,	PUNCT
ejpam-3663	129	46	θ)−	θ)−	PROPN
ejpam-3663	129	47	h(ζ	h(ζ	PROPN
ejpam-3663	129	48	,	,	PUNCT
ejpam-3663	129	49	θ	θ	PROPN
ejpam-3663	129	50	)	)	PUNCT
ejpam-3663	129	51	=	=	SYM
ejpam-3663	129	52	γλ	γλ	NUM
ejpam-3663	129	53	γ(λ+	γ(λ+	NUM
ejpam-3663	129	54	ν	ν	NOUN
ejpam-3663	129	55	)	)	PUNCT
ejpam-3663	129	56	.	.	PUNCT
ejpam-3663	130	1	γµ	γµ	CCONJ
ejpam-3663	130	2	γ(µ+	γ(µ+	PUNCT
ejpam-3663	130	3	ρ	ρ	X
ejpam-3663	130	4	)	)	PUNCT
ejpam-3663	130	5	ν∑	ν∑	PUNCT
ejpam-3663	131	1	p=0	p=0	PROPN
ejpam-3663	132	1	ρ∑	ρ∑	PROPN
ejpam-3663	132	2	q=0	q=0	NOUN
ejpam-3663	133	1	[	[	PUNCT
ejpam-3663	133	2	ν	ν	X
ejpam-3663	133	3	p	p	X
ejpam-3663	133	4	]	]	X
ejpam-3663	133	5	[	[	PUNCT
ejpam-3663	133	6	ρ	ρ	X
ejpam-3663	133	7	q	q	X
ejpam-3663	133	8	]	]	X
ejpam-3663	133	9	λpµq	λpµq	NOUN
ejpam-3663	133	10	(	(	PUNCT
ejpam-3663	133	11	sp	sp	NOUN
ejpam-3663	133	12	,	,	PUNCT
ejpam-3663	133	13	q(ζ	q(ζ	NOUN
ejpam-3663	133	14	,	,	PUNCT
ejpam-3663	133	15	θ)−	θ)−	PROPN
ejpam-3663	133	16	h(ζ	h(ζ	PROPN
ejpam-3663	133	17	,	,	PUNCT
ejpam-3663	133	18	θ	θ	NOUN
ejpam-3663	133	19	)	)	PUNCT
ejpam-3663	133	20	)	)	PUNCT
ejpam-3663	134	1	=	=	SYM
ejpam-3663	135	1	γλγµ	γλγµ	PROPN
ejpam-3663	135	2	π2	π2	ADJ
ejpam-3663	135	3	∫	∫	PROPN
ejpam-3663	135	4	π	π	PROPN
ejpam-3663	135	5	0	0	PUNCT
ejpam-3663	136	1	∫	∫	PROPN
ejpam-3663	136	2	π	π	NOUN
ejpam-3663	136	3	0	0	NUM
ejpam-3663	136	4	φ(σ	φ(σ	PROPN
ejpam-3663	136	5	,	,	PUNCT
ejpam-3663	136	6	τ	τ	X
ejpam-3663	136	7	)	)	PUNCT
ejpam-3663	136	8	ν∑	ν∑	PROPN
ejpam-3663	137	1	p=0	p=0	PROPN
ejpam-3663	137	2	[	[	PUNCT
ejpam-3663	137	3	ν	ν	X
ejpam-3663	137	4	p	p	X
ejpam-3663	137	5	]	]	X
ejpam-3663	137	6	λp	λp	PRON
ejpam-3663	137	7	sin	sin	NOUN
ejpam-3663	137	8	(	(	PUNCT
ejpam-3663	137	9	p+	p+	NOUN
ejpam-3663	137	10	1	1	NUM
ejpam-3663	137	11	2	2	NUM
ejpam-3663	137	12	)	)	PUNCT
ejpam-3663	137	13	σ	σ	NOUN
ejpam-3663	137	14	γ(λ+	γ(λ+	NUM
ejpam-3663	137	15	ν	ν	NOUN
ejpam-3663	137	16	)	)	PUNCT
ejpam-3663	137	17	sin	sin	NOUN
ejpam-3663	137	18	(	(	PUNCT
ejpam-3663	137	19	σ	σ	NOUN
ejpam-3663	137	20	2	2	PROPN
ejpam-3663	137	21	)	)	PUNCT
ejpam-3663	138	1	ρ∑	ρ∑	NOUN
ejpam-3663	138	2	q=0	q=0	NOUN
ejpam-3663	138	3	[	[	PUNCT
ejpam-3663	138	4	ρ	ρ	PROPN
ejpam-3663	138	5	q	q	X
ejpam-3663	138	6	]	]	X
ejpam-3663	138	7	µq	µq	AUX
ejpam-3663	138	8	sin	sin	NOUN
ejpam-3663	138	9	(	(	PUNCT
ejpam-3663	138	10	q	q	NOUN
ejpam-3663	139	1	+	+	NUM
ejpam-3663	139	2	1	1	NUM
ejpam-3663	139	3	2	2	NUM
ejpam-3663	139	4	)	)	PUNCT
ejpam-3663	139	5	τ	τ	PROPN
ejpam-3663	139	6	γ(µ+	γ(µ+	PROPN
ejpam-3663	139	7	ρ	ρ	PROPN
ejpam-3663	139	8	)	)	PUNCT
ejpam-3663	139	9	sin	sin	NOUN
ejpam-3663	139	10	(	(	PUNCT
ejpam-3663	139	11	τ	τ	X
ejpam-3663	139	12	2	2	X
ejpam-3663	139	13	)	)	PUNCT
ejpam-3663	139	14	dσ	dσ	VERB
ejpam-3663	139	15	dτ	dτ	PROPN
ejpam-3663	139	16	=	=	PROPN
ejpam-3663	139	17	γλγµ	γλγµ	PROPN
ejpam-3663	139	18	π2	π2	ADJ
ejpam-3663	139	19	∫	∫	PROPN
ejpam-3663	139	20	π	π	PROPN
ejpam-3663	139	21	0	0	PUNCT
ejpam-3663	140	1	∫	∫	PROPN
ejpam-3663	140	2	π	π	NOUN
ejpam-3663	140	3	0	0	NUM
ejpam-3663	140	4	φ(σ	φ(σ	PROPN
ejpam-3663	140	5	,	,	PUNCT
ejpam-3663	140	6	τ)kλ	τ)kλ	PROPN
ejpam-3663	140	7	ν	ν	NOUN
ejpam-3663	140	8	(	(	PUNCT
ejpam-3663	140	9	σ)kµ	σ)kµ	PROPN
ejpam-3663	140	10	ρ	ρ	PROPN
ejpam-3663	140	11	(	(	PUNCT
ejpam-3663	140	12	τ	τ	X
ejpam-3663	140	13	)	)	PUNCT
ejpam-3663	140	14	dσ	dσ	PROPN
ejpam-3663	140	15	dτ	dτ	PROPN
ejpam-3663	140	16	=	=	SYM
ejpam-3663	140	17	iν	iν	PROPN
ejpam-3663	140	18	,	,	PUNCT
ejpam-3663	140	19	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	140	20	,	,	PUNCT
ejpam-3663	140	21	θ	θ	PROPN
ejpam-3663	140	22	)	)	PUNCT
ejpam-3663	140	23	(	(	PUNCT
ejpam-3663	140	24	say	say	INTJ
ejpam-3663	140	25	)	)	PUNCT
ejpam-3663	140	26	.	.	PUNCT
ejpam-3663	141	1	(	(	PUNCT
ejpam-3663	141	2	10	10	NUM
ejpam-3663	141	3	)	)	PUNCT
ejpam-3663	141	4	let	let	VERB
ejpam-3663	141	5	us	we	PRON
ejpam-3663	141	6	estimate	estimate	VERB
ejpam-3663	141	7	sup	sup	NOUN
ejpam-3663	141	8	ζ	ζ	NOUN
ejpam-3663	141	9	6	6	NUM
ejpam-3663	141	10	=	=	SYM
ejpam-3663	141	11	z	z	PROPN
ejpam-3663	141	12	,	,	PUNCT
ejpam-3663	141	13	θ	θ	PROPN
ejpam-3663	141	14	6	6	NUM
ejpam-3663	141	15	=	=	SYM
ejpam-3663	141	16	w	w	NOUN
ejpam-3663	141	17	|iν	|iν	NOUN
ejpam-3663	141	18	,	,	PUNCT
ejpam-3663	141	19	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	141	20	,	,	PUNCT
ejpam-3663	141	21	θ)−	θ)−	PROPN
ejpam-3663	141	22	iν	iν	PROPN
ejpam-3663	141	23	,	,	PUNCT
ejpam-3663	141	24	ρ(z	ρ(z	PROPN
ejpam-3663	141	25	,	,	PUNCT
ejpam-3663	141	26	w)|	w)|	VERB
ejpam-3663	141	27	|ζ	|ζ	PROPN
ejpam-3663	141	28	−	−	PROPN
ejpam-3663	141	29	z|α	z|α	NOUN
ejpam-3663	142	1	+	+	CCONJ
ejpam-3663	142	2	|θ−	|θ−	NOUN
ejpam-3663	142	3	w|β	w|β	PUNCT
ejpam-3663	143	1	=	=	SYM
ejpam-3663	143	2	o(1	o(1	NOUN
ejpam-3663	143	3	)	)	PUNCT
ejpam-3663	143	4	.	.	PUNCT
ejpam-3663	144	1	(	(	PUNCT
ejpam-3663	144	2	11	11	NUM
ejpam-3663	144	3	)	)	PUNCT
ejpam-3663	144	4	now	now	ADV
ejpam-3663	144	5	,	,	PUNCT
ejpam-3663	144	6	|iν	|iν	NOUN
ejpam-3663	144	7	,	,	PUNCT
ejpam-3663	144	8	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	144	9	,	,	PUNCT
ejpam-3663	144	10	θ)−	θ)−	PROPN
ejpam-3663	144	11	iν	iν	PROPN
ejpam-3663	144	12	,	,	PUNCT
ejpam-3663	144	13	ρ(z	ρ(z	NOUN
ejpam-3663	144	14	,	,	PUNCT
ejpam-3663	144	15	w)|	w)|	NOUN
ejpam-3663	144	16	=	=	SYM
ejpam-3663	144	17	γλγµ	γλγµ	PROPN
ejpam-3663	144	18	π2	π2	X
ejpam-3663	144	19	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3663	144	20	π	π	PROPN
ejpam-3663	144	21	0	0	NUM
ejpam-3663	145	1	∫	∫	PROPN
ejpam-3663	145	2	π	π	NOUN
ejpam-3663	145	3	0	0	PUNCT
ejpam-3663	145	4	f	f	PROPN
ejpam-3663	145	5	(	(	PUNCT
ejpam-3663	145	6	σ	σ	PROPN
ejpam-3663	145	7	,	,	PUNCT
ejpam-3663	145	8	τ)kλ	τ)kλ	PROPN
ejpam-3663	145	9	ν	ν	NOUN
ejpam-3663	145	10	(	(	PUNCT
ejpam-3663	145	11	σ)kµ	σ)kµ	PROPN
ejpam-3663	145	12	ρ	ρ	PROPN
ejpam-3663	145	13	(	(	PUNCT
ejpam-3663	145	14	τ	τ	X
ejpam-3663	145	15	)	)	PUNCT
ejpam-3663	145	16	dσ	dσ	PROPN
ejpam-3663	145	17	dτ	dτ	NOUN
ejpam-3663	145	18	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3663	145	19	≤	≤	PROPN
ejpam-3663	145	20	γλγµ	γλγµ	PROPN
ejpam-3663	145	21	π2	π2	PROPN
ejpam-3663	145	22	(	(	PUNCT
ejpam-3663	145	23	∫	∫	PROPN
ejpam-3663	145	24	1	1	NUM
ejpam-3663	145	25	ν+1	ν+1	PROPN
ejpam-3663	145	26	0	0	NUM
ejpam-3663	145	27	∫	∫	PROPN
ejpam-3663	145	28	1	1	NUM
ejpam-3663	145	29	ρ+1	ρ+1	NUM
ejpam-3663	145	30	0	0	NUM
ejpam-3663	146	1	+	+	CCONJ
ejpam-3663	146	2	∫	∫	PROPN
ejpam-3663	146	3	1	1	NUM
ejpam-3663	146	4	ν+1	ν+1	PROPN
ejpam-3663	146	5	0	0	NUM
ejpam-3663	146	6	∫	∫	PROPN
ejpam-3663	146	7	π	π	PROPN
ejpam-3663	146	8	1	1	NUM
ejpam-3663	146	9	ρ+1	ρ+1	NUM
ejpam-3663	147	1	+	+	CCONJ
ejpam-3663	147	2	∫	∫	PROPN
ejpam-3663	147	3	π	π	NOUN
ejpam-3663	147	4	1	1	NUM
ejpam-3663	147	5	ν+1	ν+1	NUM
ejpam-3663	147	6	∫	∫	NOUN
ejpam-3663	147	7	1	1	NUM
ejpam-3663	147	8	ρ+1	ρ+1	NUM
ejpam-3663	147	9	0	0	NUM
ejpam-3663	148	1	+	+	CCONJ
ejpam-3663	148	2	∫	∫	PROPN
ejpam-3663	148	3	π	π	NOUN
ejpam-3663	148	4	1	1	NUM
ejpam-3663	148	5	ν+1	ν+1	NUM
ejpam-3663	148	6	∫	∫	PROPN
ejpam-3663	148	7	π	π	PROPN
ejpam-3663	148	8	1	1	NUM
ejpam-3663	148	9	ρ+1	ρ+1	NUM
ejpam-3663	148	10	)	)	PUNCT
ejpam-3663	148	11	|f	|f	PROPN
ejpam-3663	148	12	(	(	PUNCT
ejpam-3663	148	13	σ	σ	PROPN
ejpam-3663	148	14	,	,	PUNCT
ejpam-3663	148	15	τ)kλ	τ)kλ	PROPN
ejpam-3663	148	16	ν	ν	NOUN
ejpam-3663	148	17	(	(	PUNCT
ejpam-3663	148	18	σ)kµ	σ)kµ	PROPN
ejpam-3663	148	19	ρ	ρ	PROPN
ejpam-3663	148	20	(	(	PUNCT
ejpam-3663	148	21	τ)|	τ)|	PROPN
ejpam-3663	148	22	dσ	dσ	PROPN
ejpam-3663	148	23	dτ	dτ	PROPN
ejpam-3663	148	24	=	=	PROPN
ejpam-3663	148	25	o	o	X
ejpam-3663	148	26	[	[	PUNCT
ejpam-3663	148	27	γλγµ	γλγµ	PROPN
ejpam-3663	148	28	π2	π2	X
ejpam-3663	148	29	(	(	PUNCT
ejpam-3663	148	30	j1	j1	PROPN
ejpam-3663	148	31	+	+	CCONJ
ejpam-3663	148	32	j2	j2	PROPN
ejpam-3663	148	33	+	+	CCONJ
ejpam-3663	148	34	j3	j3	PROPN
ejpam-3663	148	35	+	+	CCONJ
ejpam-3663	148	36	j4	j4	PROPN
ejpam-3663	148	37	)	)	PUNCT
ejpam-3663	148	38	]	]	PUNCT
ejpam-3663	148	39	.	.	PUNCT
ejpam-3663	149	1	(	(	PUNCT
ejpam-3663	149	2	12	12	NUM
ejpam-3663	149	3	)	)	PUNCT
ejpam-3663	149	4	using	use	VERB
ejpam-3663	149	5	the	the	DET
ejpam-3663	149	6	fact	fact	NOUN
ejpam-3663	149	7	that	that	SCONJ
ejpam-3663	149	8	|f	|f	PROPN
ejpam-3663	149	9	(	(	PUNCT
ejpam-3663	149	10	σ	σ	PROPN
ejpam-3663	149	11	,	,	PUNCT
ejpam-3663	149	12	τ)|	τ)|	PROPN
ejpam-3663	149	13	=	=	PUNCT
ejpam-3663	149	14	o(|ζ	o(|ζ	PROPN
ejpam-3663	149	15	−	−	PROPN
ejpam-3663	149	16	z|α	z|α	NOUN
ejpam-3663	150	1	+	+	CCONJ
ejpam-3663	150	2	|θ	|θ	NOUN
ejpam-3663	150	3	−	−	NUM
ejpam-3663	150	4	w|β	w|β	NOUN
ejpam-3663	150	5	)	)	PUNCT
ejpam-3663	150	6	and	and	CCONJ
ejpam-3663	150	7	lemma	lemma	PROPN
ejpam-3663	150	8	4.2	4.2	NUM
ejpam-3663	150	9	for	for	ADP
ejpam-3663	150	10	0	0	NUM
ejpam-3663	150	11	<	<	X
ejpam-3663	150	12	σ	σ	X
ejpam-3663	150	13	<	<	X
ejpam-3663	150	14	1	1	NUM
ejpam-3663	150	15	ν+1	ν+1	NUM
ejpam-3663	150	16	,	,	PUNCT
ejpam-3663	150	17	we	we	PRON
ejpam-3663	150	18	obtain	obtain	VERB
ejpam-3663	151	1	j1	j1	PROPN
ejpam-3663	151	2	=	=	SYM
ejpam-3663	151	3	∫	∫	PROPN
ejpam-3663	151	4	1	1	NUM
ejpam-3663	151	5	ν+1	ν+1	PROPN
ejpam-3663	151	6	0	0	NUM
ejpam-3663	151	7	∫	∫	PROPN
ejpam-3663	152	1	1	1	NUM
ejpam-3663	152	2	ρ+1	ρ+1	NUM
ejpam-3663	152	3	0	0	NUM
ejpam-3663	152	4	|f	|f	PROPN
ejpam-3663	152	5	(	(	PUNCT
ejpam-3663	152	6	σ	σ	PROPN
ejpam-3663	152	7	,	,	PUNCT
ejpam-3663	152	8	τ)kλ	τ)kλ	PROPN
ejpam-3663	152	9	ν	ν	NOUN
ejpam-3663	152	10	(	(	PUNCT
ejpam-3663	152	11	σ)kµ	σ)kµ	PROPN
ejpam-3663	152	12	ρ	ρ	PROPN
ejpam-3663	152	13	(	(	PUNCT
ejpam-3663	152	14	τ)|	τ)|	PROPN
ejpam-3663	152	15	dσ	dσ	PROPN
ejpam-3663	152	16	dτ	dτ	PROPN
ejpam-3663	152	17	=	=	PROPN
ejpam-3663	153	1	[	[	X
ejpam-3663	153	2	o{λ	o{λ	X
ejpam-3663	153	3	ln(ν	ln(ν	X
ejpam-3663	153	4	+	+	X
ejpam-3663	153	5	1)}+o(1	1)}+o(1	NOUN
ejpam-3663	153	6	)	)	PUNCT
ejpam-3663	153	7	]	]	PUNCT
ejpam-3663	154	1	[	[	X
ejpam-3663	154	2	o{µ	o{µ	INTJ
ejpam-3663	154	3	ln(ρ+	ln(ρ+	PRON
ejpam-3663	154	4	1)}+o(1	1)}+o(1	PROPN
ejpam-3663	154	5	)	)	PUNCT
ejpam-3663	154	6	]	]	PUNCT
ejpam-3663	155	1	∫	∫	PROPN
ejpam-3663	155	2	1	1	NUM
ejpam-3663	155	3	ν+1	ν+1	PROPN
ejpam-3663	155	4	0	0	NUM
ejpam-3663	155	5	∫	∫	PROPN
ejpam-3663	156	1	1	1	NUM
ejpam-3663	156	2	ρ+1	ρ+1	NUM
ejpam-3663	156	3	0	0	NUM
ejpam-3663	156	4	|f	|f	PROPN
ejpam-3663	156	5	(	(	PUNCT
ejpam-3663	156	6	σ	σ	PROPN
ejpam-3663	156	7	,	,	PUNCT
ejpam-3663	156	8	τ)|	τ)|	PROPN
ejpam-3663	156	9	dσ	dσ	PROPN
ejpam-3663	156	10	dτ	dτ	PROPN
ejpam-3663	156	11	=	=	PROPN
ejpam-3663	156	12	o(1)[{λ	o(1)[{λ	NOUN
ejpam-3663	156	13	ln(ν	ln(ν	NOUN
ejpam-3663	156	14	+	+	CCONJ
ejpam-3663	156	15	1)}+	1)}+	NOUN
ejpam-3663	156	16	1][{µ	1][{µ	NUM
ejpam-3663	156	17	ln(ρ+	ln(ρ+	PRON
ejpam-3663	156	18	1)}+	1)}+	NUM
ejpam-3663	156	19	1][(|ζ	1][(|ζ	PROPN
ejpam-3663	156	20	−	−	PROPN
ejpam-3663	156	21	z|α	z|α	NOUN
ejpam-3663	156	22	+	+	CCONJ
ejpam-3663	156	23	|θ−	|θ−	NOUN
ejpam-3663	156	24	w|β	w|β	NOUN
ejpam-3663	156	25	)	)	PUNCT
ejpam-3663	156	26	]	]	PUNCT
ejpam-3663	157	1	∫	∫	PROPN
ejpam-3663	157	2	1	1	NUM
ejpam-3663	157	3	ν+1	ν+1	PROPN
ejpam-3663	157	4	0	0	NUM
ejpam-3663	157	5	∫	∫	PROPN
ejpam-3663	158	1	1	1	NUM
ejpam-3663	158	2	ρ+1	ρ+1	NOUN
ejpam-3663	158	3	0	0	PUNCT
ejpam-3663	158	4	dσ	dσ	PROPN
ejpam-3663	158	5	dτ	dτ	PROPN
ejpam-3663	158	6	h.	h.	PROPN
ejpam-3663	158	7	k.	k.	PROPN
ejpam-3663	158	8	nigam	nigam	PROPN
ejpam-3663	158	9	,	,	PUNCT
ejpam-3663	158	10	md	md	PROPN
ejpam-3663	158	11	hadish	hadish	PROPN
ejpam-3663	158	12	/	/	SYM
ejpam-3663	158	13	eur	eur	PROPN
ejpam-3663	158	14	.	.	PUNCT
ejpam-3663	159	1	j.	j.	PROPN
ejpam-3663	159	2	pure	pure	PROPN
ejpam-3663	159	3	appl	appl	PROPN
ejpam-3663	159	4	.	.	PROPN
ejpam-3663	159	5	math	math	PROPN
ejpam-3663	159	6	,	,	PUNCT
ejpam-3663	159	7	13	13	NUM
ejpam-3663	159	8	(	(	PUNCT
ejpam-3663	159	9	3	3	NUM
ejpam-3663	159	10	)	)	PUNCT
ejpam-3663	159	11	(	(	PUNCT
ejpam-3663	159	12	2020	2020	NUM
ejpam-3663	159	13	)	)	PUNCT
ejpam-3663	159	14	,	,	PUNCT
ejpam-3663	159	15	567	567	NUM
ejpam-3663	159	16	-	-	SYM
ejpam-3663	159	17	578	578	NUM
ejpam-3663	159	18	573	573	NUM
ejpam-3663	159	19	=	=	SYM
ejpam-3663	159	20	o(1	o(1	PROPN
ejpam-3663	159	21	)	)	PUNCT
ejpam-3663	159	22	{	{	PUNCT
ejpam-3663	160	1	[	[	X
ejpam-3663	160	2	{	{	PUNCT
ejpam-3663	160	3	λ	λ	X
ejpam-3663	160	4	ln(ν	ln(ν	PUNCT
ejpam-3663	160	5	+	+	X
ejpam-3663	160	6	1)}+	1)}+	NUM
ejpam-3663	160	7	1	1	NUM
ejpam-3663	160	8	]	]	PUNCT
ejpam-3663	160	9	ν	ν	X
ejpam-3663	160	10	+	+	NOUN
ejpam-3663	160	11	1	1	NUM
ejpam-3663	160	12	×	×	NOUN
ejpam-3663	160	13	[	[	X
ejpam-3663	160	14	{	{	PUNCT
ejpam-3663	160	15	µ	µ	NOUN
ejpam-3663	160	16	ln(ρ+	ln(ρ+	PRON
ejpam-3663	160	17	1)}+	1)}+	NOUN
ejpam-3663	160	18	1	1	NUM
ejpam-3663	160	19	]	]	SYM
ejpam-3663	160	20	ρ+	ρ+	X
ejpam-3663	160	21	1	1	NUM
ejpam-3663	160	22	}	}	PUNCT
ejpam-3663	160	23	(	(	PUNCT
ejpam-3663	160	24	|ζ	|ζ	PROPN
ejpam-3663	160	25	−	−	PROPN
ejpam-3663	160	26	z|α	z|α	NOUN
ejpam-3663	160	27	+	+	CCONJ
ejpam-3663	160	28	|θ−	|θ−	NOUN
ejpam-3663	160	29	w|β	w|β	NOUN
ejpam-3663	160	30	)	)	PUNCT
ejpam-3663	160	31	.	.	PUNCT
ejpam-3663	161	1	(	(	PUNCT
ejpam-3663	161	2	13	13	NUM
ejpam-3663	161	3	)	)	PUNCT
ejpam-3663	161	4	for	for	ADP
ejpam-3663	161	5	0	0	NUM
ejpam-3663	161	6	<	<	X
ejpam-3663	161	7	α	α	PROPN
ejpam-3663	161	8	,	,	PUNCT
ejpam-3663	161	9	β	β	X
ejpam-3663	161	10	≤	≤	NUM
ejpam-3663	161	11	1	1	NUM
ejpam-3663	161	12	,	,	PUNCT
ejpam-3663	161	13	by	by	ADP
ejpam-3663	161	14	using	use	VERB
ejpam-3663	161	15	lemmas	lemmas	PROPN
ejpam-3663	161	16	4.2	4.2	NUM
ejpam-3663	161	17	for	for	ADP
ejpam-3663	161	18	0	0	NUM
ejpam-3663	161	19	<	<	X
ejpam-3663	161	20	σ	σ	X
ejpam-3663	161	21	<	<	X
ejpam-3663	161	22	1	1	NUM
ejpam-3663	161	23	ν+1	ν+1	PROPN
ejpam-3663	161	24	,	,	PUNCT
ejpam-3663	161	25	4.4	4.4	NUM
ejpam-3663	161	26	and	and	CCONJ
ejpam-3663	161	27	the	the	DET
ejpam-3663	161	28	fact	fact	NOUN
ejpam-3663	161	29	that	that	SCONJ
ejpam-3663	161	30	|f	|f	PROPN
ejpam-3663	161	31	(	(	PUNCT
ejpam-3663	161	32	σ	σ	PROPN
ejpam-3663	161	33	,	,	PUNCT
ejpam-3663	161	34	τ)|	τ)|	PROPN
ejpam-3663	161	35	=	=	PUNCT
ejpam-3663	161	36	o(|ζ	o(|ζ	PROPN
ejpam-3663	161	37	−	−	PROPN
ejpam-3663	161	38	z|α	z|α	NOUN
ejpam-3663	161	39	+	+	CCONJ
ejpam-3663	161	40	|θ−	|θ−	NOUN
ejpam-3663	161	41	w|β	w|β	NOUN
ejpam-3663	161	42	)	)	PUNCT
ejpam-3663	161	43	,	,	PUNCT
ejpam-3663	161	44	we	we	PRON
ejpam-3663	161	45	get	get	VERB
ejpam-3663	162	1	j2	j2	PROPN
ejpam-3663	162	2	=	=	SYM
ejpam-3663	162	3	∫	∫	PROPN
ejpam-3663	162	4	1	1	NUM
ejpam-3663	162	5	ν+1	ν+1	PROPN
ejpam-3663	162	6	0	0	NUM
ejpam-3663	162	7	∫	∫	PROPN
ejpam-3663	163	1	π	π	PROPN
ejpam-3663	163	2	1	1	NUM
ejpam-3663	163	3	ρ+1	ρ+1	NUM
ejpam-3663	163	4	|f	|f	PROPN
ejpam-3663	163	5	(	(	PUNCT
ejpam-3663	163	6	σ	σ	PROPN
ejpam-3663	163	7	,	,	PUNCT
ejpam-3663	163	8	τ)kλ	τ)kλ	PROPN
ejpam-3663	163	9	ν	ν	NOUN
ejpam-3663	163	10	(	(	PUNCT
ejpam-3663	163	11	σ)kµ	σ)kµ	PROPN
ejpam-3663	163	12	ρ	ρ	PROPN
ejpam-3663	163	13	(	(	PUNCT
ejpam-3663	163	14	τ)|	τ)|	PROPN
ejpam-3663	163	15	dσ	dσ	PROPN
ejpam-3663	163	16	dτ	dτ	PROPN
ejpam-3663	163	17	=	=	PROPN
ejpam-3663	163	18	o{λ	o{λ	NOUN
ejpam-3663	163	19	log(ν	log(ν	PROPN
ejpam-3663	163	20	+	+	CCONJ
ejpam-3663	163	21	1	1	NUM
ejpam-3663	163	22	)	)	PUNCT
ejpam-3663	163	23	+	+	CCONJ
ejpam-3663	163	24	1	1	NUM
ejpam-3663	163	25	}	}	PUNCT
ejpam-3663	163	26	∫	∫	PROPN
ejpam-3663	163	27	1	1	NUM
ejpam-3663	163	28	ν+1	ν+1	PROPN
ejpam-3663	163	29	0	0	NUM
ejpam-3663	163	30	∫	∫	PROPN
ejpam-3663	163	31	π	π	PROPN
ejpam-3663	163	32	1	1	NUM
ejpam-3663	163	33	ρ+1	ρ+1	NUM
ejpam-3663	163	34	|f	|f	PROPN
ejpam-3663	163	35	(	(	PUNCT
ejpam-3663	163	36	σ	σ	PROPN
ejpam-3663	163	37	,	,	PUNCT
ejpam-3663	163	38	τ)||kµ	τ)||kµ	ADJ
ejpam-3663	163	39	ρ	ρ	PROPN
ejpam-3663	163	40	(	(	PUNCT
ejpam-3663	163	41	τ)|	τ)|	PROPN
ejpam-3663	163	42	dσ	dσ	PROPN
ejpam-3663	163	43	dτ	dτ	PROPN
ejpam-3663	163	44	=	=	PROPN
ejpam-3663	163	45	o(1	o(1	PROPN
ejpam-3663	163	46	)	)	PUNCT
ejpam-3663	163	47	{	{	PUNCT
ejpam-3663	163	48	λ	λ	X
ejpam-3663	163	49	log(ν	log(ν	PROPN
ejpam-3663	163	50	+	+	CCONJ
ejpam-3663	163	51	1	1	NUM
ejpam-3663	163	52	)	)	PUNCT
ejpam-3663	163	53	+	+	CCONJ
ejpam-3663	163	54	1	1	X
ejpam-3663	163	55	}	}	PUNCT
ejpam-3663	163	56	ν	ν	NOUN
ejpam-3663	163	57	+	+	NOUN
ejpam-3663	163	58	1	1	NUM
ejpam-3663	163	59	∫	∫	NOUN
ejpam-3663	163	60	π	π	PROPN
ejpam-3663	163	61	1	1	NUM
ejpam-3663	163	62	ρ+1	ρ+1	NUM
ejpam-3663	163	63	|f	|f	PROPN
ejpam-3663	163	64	(	(	PUNCT
ejpam-3663	163	65	σ	σ	PROPN
ejpam-3663	163	66	,	,	PUNCT
ejpam-3663	163	67	τ)||kµ	τ)||kµ	ADJ
ejpam-3663	163	68	ρ	ρ	PROPN
ejpam-3663	163	69	(	(	PUNCT
ejpam-3663	163	70	τ)|	τ)|	PROPN
ejpam-3663	163	71	dτ	dτ	NOUN
ejpam-3663	164	1	=	=	NOUN
ejpam-3663	164	2	o	o	X
ejpam-3663	164	3	{	{	PUNCT
ejpam-3663	164	4	{	{	PUNCT
ejpam-3663	164	5	λ	λ	X
ejpam-3663	164	6	ln(ν	ln(ν	PUNCT
ejpam-3663	164	7	+	+	X
ejpam-3663	164	8	1)}+	1)}+	NUM
ejpam-3663	164	9	1	1	NUM
ejpam-3663	164	10	ν	ν	NOUN
ejpam-3663	164	11	+	+	NOUN
ejpam-3663	164	12	1	1	NUM
ejpam-3663	164	13	}	}	PUNCT
ejpam-3663	164	14	(	(	PUNCT
ejpam-3663	164	15	|ζ	|ζ	PROPN
ejpam-3663	164	16	−	−	PROPN
ejpam-3663	164	17	z|α	z|α	NOUN
ejpam-3663	165	1	+	+	CCONJ
ejpam-3663	165	2	|θ−	|θ−	NOUN
ejpam-3663	165	3	w|β	w|β	NOUN
ejpam-3663	165	4	)	)	PUNCT
ejpam-3663	165	5	∫	∫	PROPN
ejpam-3663	166	1	π	π	NOUN
ejpam-3663	166	2	1	1	NUM
ejpam-3663	166	3	ρ+1	ρ+1	NUM
ejpam-3663	166	4	1	1	NUM
ejpam-3663	166	5	τγµ	τγµ	NOUN
ejpam-3663	166	6	dτ	dτ	NOUN
ejpam-3663	166	7	=	=	NOUN
ejpam-3663	166	8	o	o	X
ejpam-3663	166	9	{	{	PUNCT
ejpam-3663	166	10	{	{	PUNCT
ejpam-3663	166	11	λ	λ	X
ejpam-3663	166	12	ln(ν	ln(ν	PUNCT
ejpam-3663	166	13	+	+	CCONJ
ejpam-3663	166	14	1)}+	1)}+	NUM
ejpam-3663	166	15	1	1	NUM
ejpam-3663	166	16	(	(	PUNCT
ejpam-3663	166	17	ν	ν	X
ejpam-3663	166	18	+	+	CCONJ
ejpam-3663	166	19	1)γµ	1)γµ	NUM
ejpam-3663	166	20	}	}	PUNCT
ejpam-3663	166	21	(	(	PUNCT
ejpam-3663	166	22	|ζ	|ζ	PROPN
ejpam-3663	166	23	−	−	PROPN
ejpam-3663	166	24	z|α	z|α	NOUN
ejpam-3663	166	25	+	+	CCONJ
ejpam-3663	166	26	|θ−	|θ−	NOUN
ejpam-3663	166	27	w|β	w|β	NOUN
ejpam-3663	166	28	)	)	PUNCT
ejpam-3663	166	29	lnπ(ρ+	lnπ(ρ+	PRON
ejpam-3663	166	30	1	1	NUM
ejpam-3663	166	31	)	)	PUNCT
ejpam-3663	166	32	.	.	PUNCT
ejpam-3663	167	1	(	(	PUNCT
ejpam-3663	167	2	14	14	NUM
ejpam-3663	167	3	)	)	PUNCT
ejpam-3663	167	4	similarly	similarly	ADV
ejpam-3663	167	5	by	by	ADP
ejpam-3663	167	6	changing	change	VERB
ejpam-3663	167	7	the	the	DET
ejpam-3663	167	8	order	order	NOUN
ejpam-3663	167	9	of	of	ADP
ejpam-3663	167	10	integration	integration	NOUN
ejpam-3663	167	11	in	in	ADP
ejpam-3663	167	12	j3	j3	PROPN
ejpam-3663	167	13	and	and	CCONJ
ejpam-3663	167	14	using	use	VERB
ejpam-3663	167	15	lemmas	lemmas	PROPN
ejpam-3663	167	16	4.2	4.2	NUM
ejpam-3663	167	17	for	for	ADP
ejpam-3663	167	18	0	0	NUM
ejpam-3663	167	19	<	<	X
ejpam-3663	167	20	τ	τ	X
ejpam-3663	167	21	<	<	X
ejpam-3663	167	22	1	1	NUM
ejpam-3663	167	23	ρ+1	ρ+1	NUM
ejpam-3663	167	24	and	and	CCONJ
ejpam-3663	167	25	4.3	4.3	NUM
ejpam-3663	167	26	,	,	PUNCT
ejpam-3663	167	27	we	we	PRON
ejpam-3663	167	28	obtain	obtain	VERB
ejpam-3663	167	29	j3	j3	PROPN
ejpam-3663	167	30	=	=	PROPN
ejpam-3663	167	31	o	o	PROPN
ejpam-3663	167	32	{	{	PUNCT
ejpam-3663	167	33	{	{	PUNCT
ejpam-3663	167	34	µ	µ	NOUN
ejpam-3663	167	35	ln(ρ+	ln(ρ+	PRON
ejpam-3663	167	36	1)}+	1)}+	NOUN
ejpam-3663	167	37	1	1	NUM
ejpam-3663	167	38	(	(	PUNCT
ejpam-3663	167	39	ρ+	ρ+	NOUN
ejpam-3663	167	40	1)γλ	1)γλ	PROPN
ejpam-3663	167	41	}	}	PUNCT
ejpam-3663	167	42	(	(	PUNCT
ejpam-3663	167	43	|ζ	|ζ	PROPN
ejpam-3663	167	44	−	−	PROPN
ejpam-3663	167	45	z|α	z|α	NOUN
ejpam-3663	167	46	+	+	CCONJ
ejpam-3663	167	47	|θ−	|θ−	NOUN
ejpam-3663	167	48	w|β	w|β	PUNCT
ejpam-3663	167	49	)	)	PUNCT
ejpam-3663	168	1	ln((ν	ln((ν	PRON
ejpam-3663	168	2	+	+	ADJ
ejpam-3663	168	3	1)π	1)π	NUM
ejpam-3663	168	4	)	)	PUNCT
ejpam-3663	168	5	.	.	PUNCT
ejpam-3663	169	1	(	(	PUNCT
ejpam-3663	169	2	15	15	NUM
ejpam-3663	169	3	)	)	PUNCT
ejpam-3663	169	4	now	now	ADV
ejpam-3663	169	5	,	,	PUNCT
ejpam-3663	169	6	using	use	VERB
ejpam-3663	169	7	lemmas	lemmas	PROPN
ejpam-3663	169	8	4.3	4.3	NUM
ejpam-3663	169	9	and	and	CCONJ
ejpam-3663	169	10	4.4	4.4	NUM
ejpam-3663	169	11	,	,	PUNCT
ejpam-3663	169	12	we	we	PRON
ejpam-3663	169	13	get	get	VERB
ejpam-3663	169	14	j4	j4	PROPN
ejpam-3663	169	15	=	=	SYM
ejpam-3663	169	16	∫	∫	PROPN
ejpam-3663	170	1	π	π	PROPN
ejpam-3663	170	2	1	1	NUM
ejpam-3663	170	3	ν+1	ν+1	NUM
ejpam-3663	170	4	∫	∫	PROPN
ejpam-3663	170	5	π	π	PROPN
ejpam-3663	170	6	1	1	NUM
ejpam-3663	170	7	ρ+1	ρ+1	NUM
ejpam-3663	170	8	|f	|f	PROPN
ejpam-3663	170	9	(	(	PUNCT
ejpam-3663	170	10	σ	σ	PROPN
ejpam-3663	170	11	,	,	PUNCT
ejpam-3663	170	12	τ)kλ	τ)kλ	PROPN
ejpam-3663	170	13	ν	ν	NOUN
ejpam-3663	170	14	(	(	PUNCT
ejpam-3663	170	15	σ)kµ	σ)kµ	PROPN
ejpam-3663	170	16	ρ	ρ	PROPN
ejpam-3663	170	17	(	(	PUNCT
ejpam-3663	170	18	τ)|	τ)|	PROPN
ejpam-3663	170	19	dσ	dσ	PROPN
ejpam-3663	170	20	dτ	dτ	PROPN
ejpam-3663	170	21	=	=	SYM
ejpam-3663	170	22	∫	∫	PROPN
ejpam-3663	170	23	π	π	PROPN
ejpam-3663	170	24	1	1	NUM
ejpam-3663	170	25	ν+1	ν+1	PROPN
ejpam-3663	170	26	kλ	kλ	NOUN
ejpam-3663	170	27	ν	ν	X
ejpam-3663	170	28	(	(	PUNCT
ejpam-3663	170	29	σ	σ	PROPN
ejpam-3663	170	30	)	)	PUNCT
ejpam-3663	170	31	(	(	PUNCT
ejpam-3663	170	32	∫	∫	PROPN
ejpam-3663	170	33	π	π	PROPN
ejpam-3663	170	34	1	1	NUM
ejpam-3663	170	35	ρ+1	ρ+1	NUM
ejpam-3663	170	36	1	1	NUM
ejpam-3663	170	37	τγµ	τγµ	NUM
ejpam-3663	170	38	dτ	dτ	PROPN
ejpam-3663	170	39	)	)	PUNCT
ejpam-3663	170	40	|f	|f	PROPN
ejpam-3663	170	41	(	(	PUNCT
ejpam-3663	170	42	σ	σ	PROPN
ejpam-3663	170	43	,	,	PUNCT
ejpam-3663	170	44	τ)|	τ)|	PROPN
ejpam-3663	170	45	dσ	dσ	PROPN
ejpam-3663	170	46	=	=	PUNCT
ejpam-3663	170	47	o	o	PROPN
ejpam-3663	170	48	{	{	PUNCT
ejpam-3663	170	49	1	1	NUM
ejpam-3663	170	50	γµ	γµ	CCONJ
ejpam-3663	170	51	}	}	PUNCT
ejpam-3663	170	52	∫	∫	PROPN
ejpam-3663	170	53	π	π	PROPN
ejpam-3663	170	54	1	1	NUM
ejpam-3663	170	55	ν+1	ν+1	PROPN
ejpam-3663	170	56	kλ	kλ	NOUN
ejpam-3663	170	57	ν	ν	X
ejpam-3663	170	58	(	(	PUNCT
ejpam-3663	170	59	σ	σ	PROPN
ejpam-3663	170	60	)	)	PUNCT
ejpam-3663	170	61	ln((ρ+	ln((ρ+	ADP
ejpam-3663	170	62	1)π)|f	1)π)|f	NUM
ejpam-3663	170	63	(	(	PUNCT
ejpam-3663	170	64	σ	σ	PROPN
ejpam-3663	170	65	,	,	PUNCT
ejpam-3663	170	66	τ)|	τ)|	PROPN
ejpam-3663	170	67	dσ	dσ	PROPN
ejpam-3663	171	1	=	=	PUNCT
ejpam-3663	172	1	o	o	PROPN
ejpam-3663	173	1	{	{	PUNCT
ejpam-3663	173	2	ln((ρ+	ln((ρ+	ADP
ejpam-3663	173	3	1)π	1)π	NUM
ejpam-3663	173	4	)	)	PUNCT
ejpam-3663	173	5	.	.	PUNCT
ejpam-3663	174	1	ln((ν	ln((ν	PROPN
ejpam-3663	174	2	+	+	SYM
ejpam-3663	174	3	1)π	1)π	NUM
ejpam-3663	174	4	)	)	PUNCT
ejpam-3663	174	5	γλγµ	γλγµ	NOUN
ejpam-3663	174	6	(	(	PUNCT
ejpam-3663	174	7	|ζ	|ζ	PROPN
ejpam-3663	174	8	−	−	PROPN
ejpam-3663	174	9	z|α	z|α	NOUN
ejpam-3663	174	10	+	+	CCONJ
ejpam-3663	174	11	|θ−	|θ−	NOUN
ejpam-3663	174	12	w|β	w|β	NOUN
ejpam-3663	174	13	)	)	PUNCT
ejpam-3663	174	14	}	}	PUNCT
ejpam-3663	174	15	.	.	PUNCT
ejpam-3663	175	1	(	(	PUNCT
ejpam-3663	175	2	16	16	X
ejpam-3663	175	3	)	)	PUNCT
ejpam-3663	175	4	combining	combine	VERB
ejpam-3663	175	5	(	(	PUNCT
ejpam-3663	175	6	12	12	NUM
ejpam-3663	175	7	)	)	PUNCT
ejpam-3663	175	8	to	to	ADP
ejpam-3663	175	9	(	(	PUNCT
ejpam-3663	175	10	16	16	NUM
ejpam-3663	175	11	)	)	PUNCT
ejpam-3663	175	12	,	,	PUNCT
ejpam-3663	175	13	we	we	PRON
ejpam-3663	175	14	obtain	obtain	VERB
ejpam-3663	175	15	|iν	|iν	NUM
ejpam-3663	175	16	,	,	PUNCT
ejpam-3663	175	17	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	175	18	,	,	PUNCT
ejpam-3663	175	19	θ)−	θ)−	PROPN
ejpam-3663	175	20	iν	iν	PROPN
ejpam-3663	175	21	,	,	PUNCT
ejpam-3663	175	22	ρ(z	ρ(z	PROPN
ejpam-3663	175	23	,	,	PUNCT
ejpam-3663	175	24	w)|	w)|	X
ejpam-3663	175	25	(	(	PUNCT
ejpam-3663	175	26	|ζ	|ζ	PROPN
ejpam-3663	175	27	−	−	PROPN
ejpam-3663	175	28	z|α	z|α	NOUN
ejpam-3663	175	29	+	+	CCONJ
ejpam-3663	175	30	|θ−	|θ−	NOUN
ejpam-3663	175	31	w|β	w|β	PUNCT
ejpam-3663	175	32	)	)	PUNCT
ejpam-3663	176	1	=	=	SYM
ejpam-3663	177	1	o	o	X
ejpam-3663	177	2	(	(	PUNCT
ejpam-3663	177	3	[	[	X
ejpam-3663	177	4	{	{	PUNCT
ejpam-3663	177	5	λ	λ	X
ejpam-3663	177	6	ln(ν	ln(ν	PUNCT
ejpam-3663	177	7	+	+	CCONJ
ejpam-3663	177	8	1)}+	1)}+	NUM
ejpam-3663	177	9	1][{µ	1][{µ	NUM
ejpam-3663	177	10	ln(ρ+	ln(ρ+	PRON
ejpam-3663	177	11	1)}+	1)}+	NUM
ejpam-3663	177	12	1]γλγµ	1]γλγµ	PROPN
ejpam-3663	177	13	(	(	PUNCT
ejpam-3663	177	14	ν	ν	X
ejpam-3663	177	15	+	+	NOUN
ejpam-3663	177	16	1)(ρ+	1)(ρ+	NUM
ejpam-3663	177	17	1	1	NUM
ejpam-3663	177	18	)	)	PUNCT
ejpam-3663	177	19	+	+	CCONJ
ejpam-3663	178	1	[	[	X
ejpam-3663	178	2	{	{	PUNCT
ejpam-3663	178	3	λ	λ	X
ejpam-3663	178	4	ln(ν	ln(ν	X
ejpam-3663	178	5	+	+	X
ejpam-3663	178	6	1)}+	1)}+	NUM
ejpam-3663	178	7	1]γλ	1]γλ	NUM
ejpam-3663	178	8	lnπ(ρ+	lnπ(ρ+	ADJ
ejpam-3663	178	9	1	1	NUM
ejpam-3663	178	10	)	)	PUNCT
ejpam-3663	178	11	ν	ν	NOUN
ejpam-3663	178	12	+	+	NOUN
ejpam-3663	178	13	1	1	X
ejpam-3663	178	14	)	)	PUNCT
ejpam-3663	178	15	h.	h.	PROPN
ejpam-3663	178	16	k.	k.	PROPN
ejpam-3663	178	17	nigam	nigam	PROPN
ejpam-3663	178	18	,	,	PUNCT
ejpam-3663	178	19	md	md	PROPN
ejpam-3663	178	20	hadish	hadish	PROPN
ejpam-3663	178	21	/	/	SYM
ejpam-3663	178	22	eur	eur	PROPN
ejpam-3663	178	23	.	.	PUNCT
ejpam-3663	179	1	j.	j.	PROPN
ejpam-3663	179	2	pure	pure	PROPN
ejpam-3663	179	3	appl	appl	PROPN
ejpam-3663	179	4	.	.	PROPN
ejpam-3663	179	5	math	math	PROPN
ejpam-3663	179	6	,	,	PUNCT
ejpam-3663	179	7	13	13	NUM
ejpam-3663	179	8	(	(	PUNCT
ejpam-3663	179	9	3	3	NUM
ejpam-3663	179	10	)	)	PUNCT
ejpam-3663	179	11	(	(	PUNCT
ejpam-3663	179	12	2020	2020	NUM
ejpam-3663	179	13	)	)	PUNCT
ejpam-3663	179	14	,	,	PUNCT
ejpam-3663	179	15	567	567	NUM
ejpam-3663	179	16	-	-	SYM
ejpam-3663	179	17	578	578	NUM
ejpam-3663	179	18	574	574	NUM
ejpam-3663	179	19	+	+	NOUN
ejpam-3663	179	20	o	o	X
ejpam-3663	179	21	(	(	PUNCT
ejpam-3663	179	22	[	[	X
ejpam-3663	179	23	{	{	PUNCT
ejpam-3663	179	24	µ	µ	NOUN
ejpam-3663	179	25	ln(ρ+	ln(ρ+	PRON
ejpam-3663	179	26	1)}+	1)}+	NOUN
ejpam-3663	179	27	1]γµ	1]γµ	NUM
ejpam-3663	180	1	lnπ(ν	lnπ(ν	ADJ
ejpam-3663	180	2	+	+	NOUN
ejpam-3663	180	3	1	1	NUM
ejpam-3663	180	4	)	)	PUNCT
ejpam-3663	180	5	ρ+	ρ+	NOUN
ejpam-3663	180	6	1	1	NUM
ejpam-3663	180	7	+	+	CCONJ
ejpam-3663	180	8	ln(ρ+	ln(ρ+	PRON
ejpam-3663	180	9	1)π	1)π	NUM
ejpam-3663	180	10	)	)	PUNCT
ejpam-3663	181	1	ln((ν	ln((ν	PROPN
ejpam-3663	181	2	+	+	SYM
ejpam-3663	181	3	1)π	1)π	NUM
ejpam-3663	181	4	)	)	PUNCT
ejpam-3663	181	5	γλγµ	γλγµ	PROPN
ejpam-3663	181	6	)	)	PUNCT
ejpam-3663	181	7	.	.	PUNCT
ejpam-3663	182	1	(	(	PUNCT
ejpam-3663	182	2	17	17	NUM
ejpam-3663	182	3	)	)	PUNCT
ejpam-3663	182	4	now	now	ADV
ejpam-3663	182	5	,	,	PUNCT
ejpam-3663	182	6	from	from	ADP
ejpam-3663	182	7	(	(	PUNCT
ejpam-3663	182	8	10	10	NUM
ejpam-3663	182	9	)	)	PUNCT
ejpam-3663	182	10	,	,	PUNCT
ejpam-3663	182	11	we	we	PRON
ejpam-3663	182	12	have	have	VERB
ejpam-3663	182	13	|iν	|iν	NUM
ejpam-3663	182	14	,	,	PUNCT
ejpam-3663	182	15	ρ(ζ	ρ(ζ	NOUN
ejpam-3663	182	16	,	,	PUNCT
ejpam-3663	182	17	θ)|	θ)|	NOUN
ejpam-3663	182	18	=	=	SYM
ejpam-3663	183	1	γλγµ	γλγµ	PROPN
ejpam-3663	183	2	π2	π2	X
ejpam-3663	183	3	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-3663	183	4	π	π	PROPN
ejpam-3663	183	5	0	0	NUM
ejpam-3663	184	1	∫	∫	PROPN
ejpam-3663	184	2	π	π	NOUN
ejpam-3663	184	3	0	0	NUM
ejpam-3663	184	4	φ(σ	φ(σ	PROPN
ejpam-3663	184	5	,	,	PUNCT
ejpam-3663	184	6	τ)kλ	τ)kλ	PROPN
ejpam-3663	184	7	ν	ν	NOUN
ejpam-3663	184	8	(	(	PUNCT
ejpam-3663	184	9	σ)kµ	σ)kµ	PROPN
ejpam-3663	184	10	ρ	ρ	PROPN
ejpam-3663	184	11	(	(	PUNCT
ejpam-3663	184	12	τ	τ	X
ejpam-3663	184	13	)	)	PUNCT
ejpam-3663	184	14	dσ	dσ	PROPN
ejpam-3663	184	15	dτ	dτ	PROPN
ejpam-3663	184	16	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3663	184	17	≤γλγµ	≤γλγµ	PROPN
ejpam-3663	184	18	π2	π2	NOUN
ejpam-3663	185	1	[	[	X
ejpam-3663	185	2	∫	∫	PROPN
ejpam-3663	185	3	1	1	NUM
ejpam-3663	185	4	ν+1	ν+1	PROPN
ejpam-3663	185	5	0	0	NUM
ejpam-3663	185	6	∫	∫	PROPN
ejpam-3663	185	7	1	1	NUM
ejpam-3663	185	8	ρ+1	ρ+1	NUM
ejpam-3663	185	9	0	0	NUM
ejpam-3663	186	1	+	+	CCONJ
ejpam-3663	186	2	∫	∫	PROPN
ejpam-3663	186	3	ν+1	ν+1	PROPN
ejpam-3663	186	4	0	0	NUM
ejpam-3663	187	1	∫	∫	PROPN
ejpam-3663	188	1	π	π	PROPN
ejpam-3663	188	2	1	1	NUM
ejpam-3663	188	3	ρ+1	ρ+1	NUM
ejpam-3663	189	1	+	+	CCONJ
ejpam-3663	189	2	∫	∫	PROPN
ejpam-3663	189	3	π	π	NOUN
ejpam-3663	189	4	1	1	NUM
ejpam-3663	189	5	ν+1	ν+1	NUM
ejpam-3663	189	6	∫	∫	NOUN
ejpam-3663	189	7	1	1	NUM
ejpam-3663	189	8	ρ+1	ρ+1	NUM
ejpam-3663	189	9	0	0	NUM
ejpam-3663	190	1	+	+	CCONJ
ejpam-3663	190	2	∫	∫	PROPN
ejpam-3663	190	3	π	π	NOUN
ejpam-3663	190	4	1	1	NUM
ejpam-3663	190	5	ν+1	ν+1	NUM
ejpam-3663	190	6	∫	∫	PROPN
ejpam-3663	190	7	π	π	PROPN
ejpam-3663	190	8	1	1	NUM
ejpam-3663	190	9	ρ+1	ρ+1	NUM
ejpam-3663	190	10	|φ(σ	|φ(σ	PROPN
ejpam-3663	190	11	,	,	PUNCT
ejpam-3663	190	12	τ)||kλ	τ)||kλ	ADJ
ejpam-3663	190	13	ν	ν	NOUN
ejpam-3663	190	14	(	(	PUNCT
ejpam-3663	190	15	σ)||kµ	σ)||kµ	PROPN
ejpam-3663	190	16	ρ	ρ	PROPN
ejpam-3663	190	17	(	(	PUNCT
ejpam-3663	190	18	τ)|	τ)|	PROPN
ejpam-3663	190	19	dσ	dσ	PROPN
ejpam-3663	190	20	dτ	dτ	PROPN
ejpam-3663	190	21	]	]	X
ejpam-3663	190	22	=	=	PUNCT
ejpam-3663	190	23	γλγµ	γλγµ	NOUN
ejpam-3663	190	24	4π2	4π2	X
ejpam-3663	190	25	(	(	PUNCT
ejpam-3663	190	26	i1	i1	PROPN
ejpam-3663	190	27	+	+	CCONJ
ejpam-3663	190	28	i2	i2	PROPN
ejpam-3663	190	29	+	+	CCONJ
ejpam-3663	190	30	i3	i3	NOUN
ejpam-3663	190	31	+	+	CCONJ
ejpam-3663	190	32	i4	i4	PROPN
ejpam-3663	190	33	)	)	PUNCT
ejpam-3663	190	34	.	.	PUNCT
ejpam-3663	191	1	(	(	PUNCT
ejpam-3663	191	2	18	18	NUM
ejpam-3663	191	3	)	)	PUNCT
ejpam-3663	191	4	now	now	ADV
ejpam-3663	191	5	,	,	PUNCT
ejpam-3663	191	6	i1	i1	PROPN
ejpam-3663	191	7	=	=	PUNCT
ejpam-3663	191	8	∫	∫	PROPN
ejpam-3663	191	9	1	1	NUM
ejpam-3663	191	10	ν+1	ν+1	PROPN
ejpam-3663	191	11	0	0	NUM
ejpam-3663	191	12	∫	∫	PROPN
ejpam-3663	192	1	1	1	NUM
ejpam-3663	192	2	ρ+1	ρ+1	NOUN
ejpam-3663	192	3	0	0	X
ejpam-3663	192	4	|φ(σ	|φ(σ	PROPN
ejpam-3663	192	5	,	,	PUNCT
ejpam-3663	192	6	τ)||kλ	τ)||kλ	ADJ
ejpam-3663	192	7	ν	ν	NOUN
ejpam-3663	192	8	(	(	PUNCT
ejpam-3663	192	9	σ)||kµ	σ)||kµ	PROPN
ejpam-3663	192	10	ρ	ρ	PROPN
ejpam-3663	192	11	(	(	PUNCT
ejpam-3663	192	12	τ)|	τ)|	PROPN
ejpam-3663	192	13	dσ	dσ	PROPN
ejpam-3663	192	14	dτ	dτ	PROPN
ejpam-3663	192	15	i1	i1	PROPN
ejpam-3663	192	16	=	=	PROPN
ejpam-3663	193	1	o	o	X
ejpam-3663	193	2	[	[	PUNCT
ejpam-3663	193	3	(	(	PUNCT
ejpam-3663	193	4	λ	λ	X
ejpam-3663	193	5	log(ν	log(ν	PROPN
ejpam-3663	193	6	+	+	CCONJ
ejpam-3663	193	7	1	1	NUM
ejpam-3663	193	8	)	)	PUNCT
ejpam-3663	193	9	+	+	NUM
ejpam-3663	193	10	1)(µ	1)(µ	NUM
ejpam-3663	193	11	log(ρ+	log(ρ+	NOUN
ejpam-3663	193	12	1	1	NUM
ejpam-3663	193	13	)	)	PUNCT
ejpam-3663	193	14	+	+	CCONJ
ejpam-3663	193	15	1	1	X
ejpam-3663	193	16	)	)	PUNCT
ejpam-3663	193	17	∫	∫	PROPN
ejpam-3663	193	18	1	1	NUM
ejpam-3663	193	19	ν+1	ν+1	PROPN
ejpam-3663	193	20	0	0	NUM
ejpam-3663	193	21	∫	∫	PROPN
ejpam-3663	194	1	1	1	NUM
ejpam-3663	194	2	ρ+1	ρ+1	NUM
ejpam-3663	194	3	0	0	NUM
ejpam-3663	195	1	(	(	PUNCT
ejpam-3663	195	2	σα	σα	PROPN
ejpam-3663	195	3	+	+	CCONJ
ejpam-3663	195	4	τβ	τβ	X
ejpam-3663	195	5	)	)	PUNCT
ejpam-3663	195	6	dσ	dσ	VERB
ejpam-3663	195	7	dτ	dτ	NOUN
ejpam-3663	195	8	]	]	PUNCT
ejpam-3663	196	1	=	=	PUNCT
ejpam-3663	196	2	o	o	X
ejpam-3663	196	3	[	[	PUNCT
ejpam-3663	196	4	mn	mn	NOUN
ejpam-3663	196	5	∫	∫	PROPN
ejpam-3663	196	6	1	1	NUM
ejpam-3663	196	7	ν+1	ν+1	PROPN
ejpam-3663	196	8	0	0	NUM
ejpam-3663	197	1	σα	σα	PROPN
ejpam-3663	197	2	{	{	PUNCT
ejpam-3663	197	3	∫	∫	PROPN
ejpam-3663	197	4	1	1	NUM
ejpam-3663	197	5	ρ+1	ρ+1	NOUN
ejpam-3663	197	6	0	0	NUM
ejpam-3663	197	7	dτ	dτ	NOUN
ejpam-3663	197	8	}	}	PUNCT
ejpam-3663	197	9	dσ	dσ	X
ejpam-3663	197	10	]	]	PUNCT
ejpam-3663	198	1	+	+	NOUN
ejpam-3663	198	2	o	o	X
ejpam-3663	198	3	[	[	PUNCT
ejpam-3663	198	4	mn	mn	NOUN
ejpam-3663	198	5	∫	∫	PROPN
ejpam-3663	198	6	1	1	NUM
ejpam-3663	198	7	ρ+1	ρ+1	NUM
ejpam-3663	198	8	0	0	NUM
ejpam-3663	198	9	τβ	τβ	PART
ejpam-3663	198	10	{	{	PUNCT
ejpam-3663	198	11	∫	∫	PROPN
ejpam-3663	198	12	1	1	NUM
ejpam-3663	198	13	m+1	m+1	NUM
ejpam-3663	198	14	0	0	NUM
ejpam-3663	198	15	dσ	dσ	PROPN
ejpam-3663	198	16	}	}	PUNCT
ejpam-3663	198	17	dτ	dτ	NOUN
ejpam-3663	198	18	]	]	PUNCT
ejpam-3663	198	19	where	where	SCONJ
ejpam-3663	198	20	m	m	VERB
ejpam-3663	198	21	=	=	SYM
ejpam-3663	198	22	{	{	PUNCT
ejpam-3663	198	23	λ	λ	X
ejpam-3663	198	24	ln(ν	ln(ν	PUNCT
ejpam-3663	198	25	+	+	CCONJ
ejpam-3663	198	26	1)}+	1)}+	NUM
ejpam-3663	198	27	1	1	NUM
ejpam-3663	198	28	and	and	CCONJ
ejpam-3663	198	29	n	n	NOUN
ejpam-3663	198	30	=	=	PUNCT
ejpam-3663	198	31	{	{	PUNCT
ejpam-3663	198	32	µ	µ	NOUN
ejpam-3663	198	33	ln(ρ+	ln(ρ+	PRON
ejpam-3663	198	34	1)}+	1)}+	NOUN
ejpam-3663	198	35	1	1	NUM
ejpam-3663	198	36	=	=	SYM
ejpam-3663	198	37	[	[	PUNCT
ejpam-3663	198	38	mn	mn	PROPN
ejpam-3663	198	39	ρ+	ρ+	NUM
ejpam-3663	198	40	1	1	NUM
ejpam-3663	198	41	∫	∫	PROPN
ejpam-3663	198	42	1	1	NUM
ejpam-3663	198	43	ν+1	ν+1	NOUN
ejpam-3663	198	44	0	0	NUM
ejpam-3663	199	1	σα	σα	PRON
ejpam-3663	199	2	dσ	dσ	VERB
ejpam-3663	199	3	]	]	PUNCT
ejpam-3663	200	1	+	+	CCONJ
ejpam-3663	200	2	[	[	PUNCT
ejpam-3663	200	3	mn	mn	NOUN
ejpam-3663	200	4	ν	ν	X
ejpam-3663	200	5	+	+	CCONJ
ejpam-3663	200	6	1	1	NUM
ejpam-3663	200	7	∫	∫	NOUN
ejpam-3663	200	8	1	1	NUM
ejpam-3663	200	9	ρ+1	ρ+1	NUM
ejpam-3663	200	10	0	0	PUNCT
ejpam-3663	200	11	τβ	τβ	X
ejpam-3663	200	12	dτ	dτ	X
ejpam-3663	200	13	]	]	X
ejpam-3663	200	14	=	=	SYM
ejpam-3663	200	15	o(1	o(1	PROPN
ejpam-3663	200	16	)	)	PUNCT
ejpam-3663	200	17	mn	mn	PROPN
ejpam-3663	200	18	(	(	PUNCT
ejpam-3663	200	19	ν	ν	X
ejpam-3663	200	20	+	+	NOUN
ejpam-3663	200	21	1)(ρ+	1)(ρ+	NUM
ejpam-3663	200	22	1	1	NUM
ejpam-3663	200	23	)	)	PUNCT
ejpam-3663	200	24	[	[	PUNCT
ejpam-3663	200	25	1	1	NUM
ejpam-3663	200	26	(	(	PUNCT
ejpam-3663	200	27	ν	ν	X
ejpam-3663	200	28	+	+	CCONJ
ejpam-3663	200	29	1)α	1)α	NUM
ejpam-3663	200	30	+	+	CCONJ
ejpam-3663	200	31	1	1	NUM
ejpam-3663	200	32	(	(	PUNCT
ejpam-3663	200	33	ρ+	ρ+	NOUN
ejpam-3663	200	34	1)β	1)β	NOUN
ejpam-3663	200	35	]	]	PUNCT
ejpam-3663	200	36	.	.	PUNCT
ejpam-3663	201	1	(	(	PUNCT
ejpam-3663	201	2	19	19	NUM
ejpam-3663	201	3	)	)	PUNCT
ejpam-3663	201	4	i2	i2	NOUN
ejpam-3663	201	5	=	=	SYM
ejpam-3663	202	1	∫	∫	PROPN
ejpam-3663	202	2	1	1	NUM
ejpam-3663	202	3	ν+1	ν+1	NUM
ejpam-3663	202	4	0	0	NUM
ejpam-3663	203	1	∫	∫	PROPN
ejpam-3663	203	2	π	π	PROPN
ejpam-3663	203	3	1	1	NUM
ejpam-3663	203	4	ρ+1	ρ+1	NUM
ejpam-3663	203	5	|φ(σ	|φ(σ	PROPN
ejpam-3663	203	6	,	,	PUNCT
ejpam-3663	203	7	τ)||kλ	τ)||kλ	ADJ
ejpam-3663	203	8	ν	ν	NOUN
ejpam-3663	203	9	(	(	PUNCT
ejpam-3663	203	10	σ)||kµ	σ)||kµ	PROPN
ejpam-3663	203	11	ρ	ρ	PROPN
ejpam-3663	203	12	(	(	PUNCT
ejpam-3663	203	13	τ)|	τ)|	PROPN
ejpam-3663	203	14	dσ	dσ	PROPN
ejpam-3663	203	15	dτ	dτ	PROPN
ejpam-3663	204	1	=	=	PROPN
ejpam-3663	204	2	o	o	X
ejpam-3663	204	3	[	[	PUNCT
ejpam-3663	204	4	{	{	PUNCT
ejpam-3663	204	5	λ	λ	X
ejpam-3663	204	6	log(ν	log(ν	PROPN
ejpam-3663	204	7	+	+	CCONJ
ejpam-3663	204	8	1	1	NUM
ejpam-3663	204	9	)	)	PUNCT
ejpam-3663	204	10	+	+	CCONJ
ejpam-3663	204	11	1	1	NUM
ejpam-3663	204	12	}	}	PUNCT
ejpam-3663	204	13	∫	∫	PROPN
ejpam-3663	205	1	1	1	NUM
ejpam-3663	205	2	ν+1	ν+1	PROPN
ejpam-3663	205	3	0	0	NUM
ejpam-3663	205	4	∫	∫	PROPN
ejpam-3663	205	5	π	π	NOUN
ejpam-3663	205	6	1	1	NUM
ejpam-3663	205	7	ρ+1	ρ+1	NUM
ejpam-3663	205	8	1	1	NUM
ejpam-3663	205	9	τγµ	τγµ	NOUN
ejpam-3663	205	10	(	(	PUNCT
ejpam-3663	205	11	σα	σα	PROPN
ejpam-3663	205	12	+	+	CCONJ
ejpam-3663	205	13	τβ	τβ	X
ejpam-3663	205	14	)	)	PUNCT
ejpam-3663	205	15	dσ	dσ	VERB
ejpam-3663	205	16	dτ	dτ	NOUN
ejpam-3663	205	17	]	]	PUNCT
ejpam-3663	206	1	=	=	PUNCT
ejpam-3663	206	2	o	o	X
ejpam-3663	206	3	[	[	PUNCT
ejpam-3663	206	4	γµ	γµ	VERB
ejpam-3663	206	5	∫	∫	PROPN
ejpam-3663	207	1	1	1	NUM
ejpam-3663	207	2	ν+1	ν+1	PROPN
ejpam-3663	207	3	0	0	NUM
ejpam-3663	207	4	∫	∫	PROPN
ejpam-3663	207	5	π	π	NOUN
ejpam-3663	207	6	1	1	NUM
ejpam-3663	207	7	ρ+1	ρ+1	NUM
ejpam-3663	207	8	1	1	NUM
ejpam-3663	207	9	τ	τ	X
ejpam-3663	207	10	σα	σα	INTJ
ejpam-3663	207	11	dσ	dσ	PROPN
ejpam-3663	207	12	dτ	dτ	INTJ
ejpam-3663	207	13	]	]	PUNCT
ejpam-3663	208	1	+	+	NUM
ejpam-3663	208	2	o	o	X
ejpam-3663	208	3	[	[	PUNCT
ejpam-3663	208	4	m	m	VERB
ejpam-3663	208	5	γµ	γµ	VERB
ejpam-3663	208	6	∫	∫	PROPN
ejpam-3663	208	7	1	1	NUM
ejpam-3663	208	8	ν+1	ν+1	PROPN
ejpam-3663	208	9	0	0	NUM
ejpam-3663	208	10	∫	∫	PROPN
ejpam-3663	208	11	π	π	NOUN
ejpam-3663	208	12	1	1	NUM
ejpam-3663	208	13	ρ+1	ρ+1	NUM
ejpam-3663	208	14	1	1	NUM
ejpam-3663	208	15	τ	τ	X
ejpam-3663	208	16	τβ	τβ	ADP
ejpam-3663	208	17	dσ	dσ	PROPN
ejpam-3663	208	18	dτ	dτ	PROPN
ejpam-3663	208	19	]	]	X
ejpam-3663	208	20	=	=	SYM
ejpam-3663	208	21	o(1	o(1	PROPN
ejpam-3663	208	22	)	)	PUNCT
ejpam-3663	208	23	m	m	VERB
ejpam-3663	208	24	(	(	PUNCT
ejpam-3663	208	25	ν	ν	X
ejpam-3663	208	26	+	+	X
ejpam-3663	208	27	1)γµ	1)γµ	NUM
ejpam-3663	208	28	(	(	PUNCT
ejpam-3663	208	29	ln(ρ+	ln(ρ+	PROPN
ejpam-3663	208	30	1)π	1)π	NUM
ejpam-3663	208	31	(	(	PUNCT
ejpam-3663	208	32	ν	ν	X
ejpam-3663	208	33	+	+	CCONJ
ejpam-3663	208	34	1)α	1)α	NUM
ejpam-3663	208	35	+	+	CCONJ
ejpam-3663	208	36	1	1	NUM
ejpam-3663	208	37	)	)	PUNCT
ejpam-3663	208	38	.	.	PUNCT
ejpam-3663	209	1	(	(	PUNCT
ejpam-3663	209	2	20	20	NUM
ejpam-3663	209	3	)	)	PUNCT
ejpam-3663	209	4	similarly	similarly	ADV
ejpam-3663	209	5	,	,	PUNCT
ejpam-3663	209	6	i3	i3	NOUN
ejpam-3663	209	7	=	=	SYM
ejpam-3663	209	8	o(1	o(1	PROPN
ejpam-3663	209	9	)	)	PUNCT
ejpam-3663	209	10	n	n	CCONJ
ejpam-3663	209	11	(	(	PUNCT
ejpam-3663	209	12	ρ+	ρ+	NUM
ejpam-3663	209	13	1)γλ	1)γλ	PROPN
ejpam-3663	209	14	(	(	PUNCT
ejpam-3663	209	15	ln(ν	ln(ν	PUNCT
ejpam-3663	209	16	+	+	X
ejpam-3663	209	17	1)π	1)π	NUM
ejpam-3663	209	18	(	(	PUNCT
ejpam-3663	209	19	ρ+	ρ+	NUM
ejpam-3663	209	20	1)β	1)β	NUM
ejpam-3663	209	21	+	+	SYM
ejpam-3663	209	22	1	1	NUM
ejpam-3663	209	23	)	)	PUNCT
ejpam-3663	209	24	(	(	PUNCT
ejpam-3663	209	25	21	21	NUM
ejpam-3663	209	26	)	)	PUNCT
ejpam-3663	209	27	h.	h.	PROPN
ejpam-3663	209	28	k.	k.	PROPN
ejpam-3663	209	29	nigam	nigam	PROPN
ejpam-3663	209	30	,	,	PUNCT
ejpam-3663	209	31	md	md	PROPN
ejpam-3663	209	32	hadish	hadish	PROPN
ejpam-3663	209	33	/	/	SYM
ejpam-3663	209	34	eur	eur	PROPN
ejpam-3663	209	35	.	.	PUNCT
ejpam-3663	210	1	j.	j.	PROPN
ejpam-3663	210	2	pure	pure	PROPN
ejpam-3663	210	3	appl	appl	PROPN
ejpam-3663	210	4	.	.	PROPN
ejpam-3663	210	5	math	math	PROPN
ejpam-3663	210	6	,	,	PUNCT
ejpam-3663	210	7	13	13	NUM
ejpam-3663	210	8	(	(	PUNCT
ejpam-3663	210	9	3	3	NUM
ejpam-3663	210	10	)	)	PUNCT
ejpam-3663	210	11	(	(	PUNCT
ejpam-3663	210	12	2020	2020	NUM
ejpam-3663	210	13	)	)	PUNCT
ejpam-3663	210	14	,	,	PUNCT
ejpam-3663	210	15	567	567	NUM
ejpam-3663	210	16	-	-	SYM
ejpam-3663	210	17	578	578	NUM
ejpam-3663	210	18	575	575	NUM
ejpam-3663	210	19	and	and	CCONJ
ejpam-3663	210	20	i4	i4	PROPN
ejpam-3663	210	21	=	=	SYM
ejpam-3663	211	1	∫	∫	PROPN
ejpam-3663	211	2	π	π	NOUN
ejpam-3663	211	3	1	1	NUM
ejpam-3663	211	4	ν+1	ν+1	NUM
ejpam-3663	211	5	∫	∫	PROPN
ejpam-3663	211	6	π	π	PROPN
ejpam-3663	211	7	1	1	NUM
ejpam-3663	211	8	ρ+1	ρ+1	NUM
ejpam-3663	211	9	|φ(σ	|φ(σ	PROPN
ejpam-3663	211	10	,	,	PUNCT
ejpam-3663	211	11	τ)||kλ	τ)||kλ	ADJ
ejpam-3663	211	12	ν	ν	NOUN
ejpam-3663	211	13	(	(	PUNCT
ejpam-3663	211	14	σ)||kµ	σ)||kµ	PROPN
ejpam-3663	211	15	ρ	ρ	PROPN
ejpam-3663	211	16	(	(	PUNCT
ejpam-3663	211	17	τ)|	τ)|	PROPN
ejpam-3663	211	18	dσ	dσ	PROPN
ejpam-3663	211	19	dτ	dτ	PROPN
ejpam-3663	212	1	=	=	PROPN
ejpam-3663	212	2	o	o	X
ejpam-3663	213	1	[	[	X
ejpam-3663	213	2	∫	∫	X
ejpam-3663	213	3	π	π	PROPN
ejpam-3663	213	4	1	1	NUM
ejpam-3663	213	5	ν+1	ν+1	NUM
ejpam-3663	213	6	∫	∫	PROPN
ejpam-3663	213	7	π	π	NOUN
ejpam-3663	213	8	1	1	NUM
ejpam-3663	213	9	ρ+1	ρ+1	NUM
ejpam-3663	213	10	1	1	NUM
ejpam-3663	213	11	στγλγµ	στγλγµ	NOUN
ejpam-3663	214	1	[	[	X
ejpam-3663	214	2	σα	σα	X
ejpam-3663	214	3	+	+	CCONJ
ejpam-3663	214	4	τβ	τβ	VERB
ejpam-3663	214	5	]	]	X
ejpam-3663	214	6	dσ	dσ	PROPN
ejpam-3663	214	7	dτ	dτ	NOUN
ejpam-3663	214	8	]	]	PUNCT
ejpam-3663	214	9	=	=	PUNCT
ejpam-3663	215	1	o	o	X
ejpam-3663	215	2	[	[	PUNCT
ejpam-3663	215	3	1	1	NUM
ejpam-3663	215	4	γλγµ	γλγµ	ADJ
ejpam-3663	215	5	∫	∫	PROPN
ejpam-3663	215	6	π	π	NOUN
ejpam-3663	215	7	1	1	NUM
ejpam-3663	215	8	ν+1	ν+1	PROPN
ejpam-3663	215	9	σα	σα	PROPN
ejpam-3663	215	10	σ	σ	PROPN
ejpam-3663	215	11	{	{	PUNCT
ejpam-3663	215	12	∫	∫	PROPN
ejpam-3663	215	13	π	π	PROPN
ejpam-3663	215	14	1	1	NUM
ejpam-3663	215	15	ρ+1	ρ+1	NUM
ejpam-3663	215	16	dτ	dτ	NOUN
ejpam-3663	215	17	τ	τ	PROPN
ejpam-3663	215	18	}	}	PUNCT
ejpam-3663	215	19	dσ	dσ	VERB
ejpam-3663	215	20	]	]	PUNCT
ejpam-3663	216	1	+	+	NOUN
ejpam-3663	216	2	o	o	X
ejpam-3663	216	3	[	[	PUNCT
ejpam-3663	216	4	1	1	NUM
ejpam-3663	216	5	γλγµ	γλγµ	ADJ
ejpam-3663	216	6	∫	∫	PROPN
ejpam-3663	216	7	π	π	NOUN
ejpam-3663	216	8	1	1	NUM
ejpam-3663	216	9	ν+1	ν+1	PROPN
ejpam-3663	216	10	1	1	NUM
ejpam-3663	216	11	σ	σ	NOUN
ejpam-3663	216	12	{	{	PUNCT
ejpam-3663	216	13	∫	∫	PROPN
ejpam-3663	216	14	π	π	PROPN
ejpam-3663	216	15	1	1	NUM
ejpam-3663	216	16	ρ+1	ρ+1	NUM
ejpam-3663	216	17	τβ	τβ	ADP
ejpam-3663	216	18	τ	τ	PROPN
ejpam-3663	216	19	dτ	dτ	PROPN
ejpam-3663	216	20	}	}	PUNCT
ejpam-3663	216	21	dσ	dσ	PROPN
ejpam-3663	216	22	]	]	PUNCT
ejpam-3663	216	23	.	.	PUNCT
ejpam-3663	217	1	=	=	PUNCT
ejpam-3663	218	1	o	o	X
ejpam-3663	218	2	[	[	PUNCT
ejpam-3663	218	3	1	1	NUM
ejpam-3663	218	4	γλγµ	γλγµ	NOUN
ejpam-3663	218	5	ln(ρ+	ln(ρ+	PROPN
ejpam-3663	218	6	1)π	1)π	VERB
ejpam-3663	218	7	]	]	PUNCT
ejpam-3663	219	1	+	+	PUNCT
ejpam-3663	219	2	o	o	X
ejpam-3663	219	3	[	[	PUNCT
ejpam-3663	219	4	1	1	NUM
ejpam-3663	219	5	γλγµ	γλγµ	NOUN
ejpam-3663	219	6	ln(ν	ln(ν	PUNCT
ejpam-3663	219	7	+	+	X
ejpam-3663	219	8	1)π	1)π	NUM
ejpam-3663	219	9	]	]	PUNCT
ejpam-3663	220	1	=	=	PUNCT
ejpam-3663	220	2	o	o	X
ejpam-3663	220	3	[	[	PUNCT
ejpam-3663	220	4	1	1	NUM
ejpam-3663	220	5	γλγµ	γλγµ	NOUN
ejpam-3663	220	6	ln(ν	ln(ν	PUNCT
ejpam-3663	220	7	+	+	NOUN
ejpam-3663	220	8	1)(ρ+	1)(ρ+	NUM
ejpam-3663	220	9	1)π2	1)π2	NUM
ejpam-3663	220	10	]	]	PUNCT
ejpam-3663	220	11	(	(	PUNCT
ejpam-3663	220	12	22	22	X
ejpam-3663	220	13	)	)	PUNCT
ejpam-3663	220	14	combining	combine	VERB
ejpam-3663	220	15	(	(	PUNCT
ejpam-3663	220	16	18	18	NUM
ejpam-3663	220	17	)	)	PUNCT
ejpam-3663	220	18	to	to	ADP
ejpam-3663	220	19	(	(	PUNCT
ejpam-3663	220	20	22	22	NUM
ejpam-3663	220	21	)	)	PUNCT
ejpam-3663	220	22	,	,	PUNCT
ejpam-3663	220	23	we	we	PRON
ejpam-3663	220	24	get	get	VERB
ejpam-3663	220	25	iν	iν	NOUN
ejpam-3663	220	26	,	,	PUNCT
ejpam-3663	220	27	ρ	ρ	NOUN
ejpam-3663	221	1	=	=	SYM
ejpam-3663	221	2	o	o	X
ejpam-3663	221	3	[	[	PUNCT
ejpam-3663	221	4	γλγµ	γλγµ	PROPN
ejpam-3663	221	5	π2	π2	X
ejpam-3663	221	6	{	{	PUNCT
ejpam-3663	221	7	mn	mn	PROPN
ejpam-3663	221	8	(	(	PUNCT
ejpam-3663	221	9	ν	ν	X
ejpam-3663	221	10	+	+	NOUN
ejpam-3663	221	11	1)(ρ+	1)(ρ+	NUM
ejpam-3663	221	12	1	1	NUM
ejpam-3663	221	13	)	)	PUNCT
ejpam-3663	221	14	(	(	PUNCT
ejpam-3663	221	15	1	1	NUM
ejpam-3663	221	16	(	(	PUNCT
ejpam-3663	221	17	ν	ν	X
ejpam-3663	221	18	+	+	CCONJ
ejpam-3663	221	19	1)α	1)α	NUM
ejpam-3663	221	20	+	+	CCONJ
ejpam-3663	221	21	1	1	NUM
ejpam-3663	221	22	(	(	PUNCT
ejpam-3663	221	23	ρ+	ρ+	NUM
ejpam-3663	221	24	1)β	1)β	NUM
ejpam-3663	221	25	)	)	PUNCT
ejpam-3663	222	1	+	+	CCONJ
ejpam-3663	222	2	m	m	VERB
ejpam-3663	222	3	(	(	PUNCT
ejpam-3663	222	4	ν	ν	X
ejpam-3663	222	5	+	+	X
ejpam-3663	222	6	1)γµ	1)γµ	NUM
ejpam-3663	222	7	(	(	PUNCT
ejpam-3663	222	8	1	1	NUM
ejpam-3663	222	9	+	+	NUM
ejpam-3663	222	10	ln(ρ+	ln(ρ+	PRON
ejpam-3663	222	11	1)π	1)π	NUM
ejpam-3663	222	12	(	(	PUNCT
ejpam-3663	222	13	ν	ν	X
ejpam-3663	222	14	+	+	X
ejpam-3663	222	15	1)α	1)α	NUM
ejpam-3663	222	16	)	)	PUNCT
ejpam-3663	222	17	}	}	PUNCT
ejpam-3663	222	18	]	]	PUNCT
ejpam-3663	223	1	+	+	PUNCT
ejpam-3663	223	2	o	o	X
ejpam-3663	223	3	[	[	PUNCT
ejpam-3663	223	4	γλγµ	γλγµ	PROPN
ejpam-3663	223	5	π2	π2	X
ejpam-3663	223	6	{	{	PUNCT
ejpam-3663	223	7	n	n	PROPN
ejpam-3663	223	8	(	(	PUNCT
ejpam-3663	223	9	ν	ν	X
ejpam-3663	223	10	+	+	NOUN
ejpam-3663	223	11	1)γλ	1)γλ	PROPN
ejpam-3663	223	12	(	(	PUNCT
ejpam-3663	223	13	1	1	NUM
ejpam-3663	223	14	+	+	NUM
ejpam-3663	223	15	ln(ν	ln(ν	X
ejpam-3663	223	16	+	+	X
ejpam-3663	223	17	1)π	1)π	NUM
ejpam-3663	223	18	(	(	PUNCT
ejpam-3663	223	19	ρ+	ρ+	NUM
ejpam-3663	223	20	1)β	1)β	NUM
ejpam-3663	223	21	)	)	PUNCT
ejpam-3663	224	1	+	+	CCONJ
ejpam-3663	224	2	1	1	NUM
ejpam-3663	224	3	γλγµ	γλγµ	NOUN
ejpam-3663	224	4	log(ν	log(ν	PROPN
ejpam-3663	224	5	+	+	CCONJ
ejpam-3663	224	6	1)(ρ+	1)(ρ+	NUM
ejpam-3663	224	7	1)π2	1)π2	NUM
ejpam-3663	224	8	}	}	PUNCT
ejpam-3663	224	9	]	]	PUNCT
ejpam-3663	224	10	.	.	PUNCT
ejpam-3663	225	1	(	(	PUNCT
ejpam-3663	225	2	23	23	NUM
ejpam-3663	225	3	)	)	PUNCT
ejpam-3663	225	4	by	by	ADP
ejpam-3663	225	5	(	(	PUNCT
ejpam-3663	225	6	17	17	NUM
ejpam-3663	225	7	)	)	PUNCT
ejpam-3663	225	8	and	and	CCONJ
ejpam-3663	225	9	(	(	PUNCT
ejpam-3663	225	10	23	23	NUM
ejpam-3663	225	11	)	)	PUNCT
ejpam-3663	225	12	,	,	PUNCT
ejpam-3663	225	13	we	we	PRON
ejpam-3663	225	14	obtain	obtain	VERB
ejpam-3663	225	15	‖iν	‖iν	ADV
ejpam-3663	225	16	,	,	PUNCT
ejpam-3663	225	17	ρ‖α	ρ‖α	NOUN
ejpam-3663	225	18	,	,	PUNCT
ejpam-3663	225	19	β	β	X
ejpam-3663	225	20	=	=	SYM
ejpam-3663	225	21	‖sλ,µν	‖sλ,µν	PROPN
ejpam-3663	225	22	,	,	PUNCT
ejpam-3663	225	23	ρ	ρ	PROPN
ejpam-3663	225	24	(	(	PUNCT
ejpam-3663	225	25	ζ	ζ	NOUN
ejpam-3663	225	26	,	,	PUNCT
ejpam-3663	225	27	θ)−	θ)−	PROPN
ejpam-3663	225	28	h(ζ	h(ζ	PROPN
ejpam-3663	225	29	,	,	PUNCT
ejpam-3663	225	30	θ)‖α	θ)‖α	ADJ
ejpam-3663	225	31	,	,	PUNCT
ejpam-3663	225	32	β	β	X
ejpam-3663	225	33	=	=	SYM
ejpam-3663	225	34	o	o	X
ejpam-3663	225	35	[	[	PUNCT
ejpam-3663	225	36	mnγλγµ	mnγλγµ	NOUN
ejpam-3663	225	37	(	(	PUNCT
ejpam-3663	225	38	ν	ν	X
ejpam-3663	225	39	+	+	NOUN
ejpam-3663	225	40	1)(ρ+	1)(ρ+	NUM
ejpam-3663	225	41	1	1	NUM
ejpam-3663	225	42	)	)	PUNCT
ejpam-3663	225	43	(	(	PUNCT
ejpam-3663	225	44	1	1	NUM
ejpam-3663	225	45	(	(	PUNCT
ejpam-3663	225	46	ν	ν	X
ejpam-3663	225	47	+	+	CCONJ
ejpam-3663	225	48	1)α	1)α	NUM
ejpam-3663	225	49	+	+	CCONJ
ejpam-3663	225	50	1	1	NUM
ejpam-3663	225	51	(	(	PUNCT
ejpam-3663	225	52	ρ+	ρ+	NUM
ejpam-3663	225	53	1)β	1)β	NUM
ejpam-3663	225	54	+	+	SYM
ejpam-3663	225	55	1	1	NUM
ejpam-3663	225	56	)	)	PUNCT
ejpam-3663	225	57	]	]	PUNCT
ejpam-3663	226	1	+	+	PUNCT
ejpam-3663	226	2	o	o	X
ejpam-3663	226	3	[	[	PUNCT
ejpam-3663	226	4	mγλγµ	mγλγµ	PROPN
ejpam-3663	226	5	(	(	PUNCT
ejpam-3663	226	6	ν	ν	X
ejpam-3663	226	7	+	+	PROPN
ejpam-3663	226	8	1)γ(µ+	1)γ(µ+	PROPN
ejpam-3663	226	9	ρ	ρ	NOUN
ejpam-3663	226	10	)	)	PUNCT
ejpam-3663	226	11	(	(	PUNCT
ejpam-3663	226	12	1	1	NUM
ejpam-3663	226	13	+	+	NUM
ejpam-3663	226	14	log((ρ+	log((ρ+	PROPN
ejpam-3663	226	15	1)π	1)π	NUM
ejpam-3663	226	16	)	)	PUNCT
ejpam-3663	226	17	(	(	PUNCT
ejpam-3663	226	18	ν	ν	X
ejpam-3663	226	19	+	+	CCONJ
ejpam-3663	226	20	1)α	1)α	NUM
ejpam-3663	226	21	+	+	CCONJ
ejpam-3663	226	22	log((ρ+	log((ρ+	PROPN
ejpam-3663	226	23	1)π	1)π	NUM
ejpam-3663	226	24	)	)	PUNCT
ejpam-3663	226	25	)	)	PUNCT
ejpam-3663	226	26	]	]	PUNCT
ejpam-3663	227	1	+	+	CCONJ
ejpam-3663	227	2	[	[	PUNCT
ejpam-3663	227	3	nγλγµ	nγλγµ	NOUN
ejpam-3663	227	4	(	(	PUNCT
ejpam-3663	227	5	ν	ν	X
ejpam-3663	227	6	+	+	CCONJ
ejpam-3663	227	7	1)γ(λ+	1)γ(λ+	PROPN
ejpam-3663	227	8	ν	ν	PROPN
ejpam-3663	227	9	)	)	PUNCT
ejpam-3663	227	10	(	(	PUNCT
ejpam-3663	227	11	1	1	NUM
ejpam-3663	227	12	+	+	NUM
ejpam-3663	227	13	log((ρ+	log((ρ+	PROPN
ejpam-3663	227	14	1)π	1)π	NUM
ejpam-3663	227	15	)	)	PUNCT
ejpam-3663	227	16	(	(	PUNCT
ejpam-3663	227	17	ρ+	ρ+	NUM
ejpam-3663	227	18	1)β	1)β	ADP
ejpam-3663	227	19	+	+	CCONJ
ejpam-3663	227	20	log((ν	log((ν	PROPN
ejpam-3663	227	21	+	+	NOUN
ejpam-3663	227	22	1)π	1)π	NUM
ejpam-3663	227	23	)	)	PUNCT
ejpam-3663	227	24	)	)	PUNCT
ejpam-3663	227	25	]	]	PUNCT
ejpam-3663	228	1	+	+	PUNCT
ejpam-3663	228	2	o	o	X
ejpam-3663	228	3	[	[	PUNCT
ejpam-3663	228	4	γλγµ	γλγµ	PROPN
ejpam-3663	228	5	γ(λ+	γ(λ+	X
ejpam-3663	228	6	ν)γ(µ+	ν)γ(µ+	PROPN
ejpam-3663	228	7	ρ	ρ	PROPN
ejpam-3663	228	8	)	)	PUNCT
ejpam-3663	228	9	(	(	PUNCT
ejpam-3663	228	10	log	log	NOUN
ejpam-3663	228	11	(	(	PUNCT
ejpam-3663	228	12	(	(	PUNCT
ejpam-3663	228	13	ν	ν	X
ejpam-3663	228	14	+	+	NOUN
ejpam-3663	228	15	1)(ρ+	1)(ρ+	NUM
ejpam-3663	228	16	1)π2	1)π2	NUM
ejpam-3663	228	17	)	)	PUNCT
ejpam-3663	228	18	+	+	CCONJ
ejpam-3663	228	19	{	{	PUNCT
ejpam-3663	228	20	log((ν	log((ν	NOUN
ejpam-3663	228	21	+	+	CCONJ
ejpam-3663	228	22	1)π)}{log((ρ+	1)π)}{log((ρ+	NUM
ejpam-3663	228	23	1)π	1)π	NUM
ejpam-3663	228	24	)	)	PUNCT
ejpam-3663	228	25	)	)	PUNCT
ejpam-3663	228	26	}	}	PUNCT
ejpam-3663	228	27	]	]	PUNCT
ejpam-3663	228	28	where	where	SCONJ
ejpam-3663	228	29	m	m	VERB
ejpam-3663	228	30	=	=	SYM
ejpam-3663	228	31	{	{	PUNCT
ejpam-3663	228	32	λ	λ	X
ejpam-3663	228	33	ln(ν	ln(ν	PUNCT
ejpam-3663	228	34	+	+	CCONJ
ejpam-3663	228	35	1)}+	1)}+	NUM
ejpam-3663	228	36	1	1	NUM
ejpam-3663	228	37	and	and	CCONJ
ejpam-3663	228	38	n	n	NOUN
ejpam-3663	228	39	=	=	PUNCT
ejpam-3663	228	40	{	{	PUNCT
ejpam-3663	228	41	µ	µ	NOUN
ejpam-3663	228	42	ln(ρ+	ln(ρ+	PRON
ejpam-3663	228	43	1)}+	1)}+	NOUN
ejpam-3663	228	44	1	1	NUM
ejpam-3663	228	45	.	.	NOUN
ejpam-3663	228	46	6	6	NUM
ejpam-3663	228	47	.	.	X
ejpam-3663	228	48	verification	verification	NOUN
ejpam-3663	228	49	we	we	PRON
ejpam-3663	228	50	calculate	calculate	VERB
ejpam-3663	228	51	error	error	NOUN
ejpam-3663	228	52	by	by	ADP
ejpam-3663	228	53	putting	put	VERB
ejpam-3663	228	54	some	some	DET
ejpam-3663	228	55	values	value	NOUN
ejpam-3663	228	56	of	of	ADP
ejpam-3663	228	57	ν	ν	PROPN
ejpam-3663	228	58	,	,	PUNCT
ejpam-3663	228	59	ρ	ρ	PROPN
ejpam-3663	228	60	,	,	PUNCT
ejpam-3663	228	61	α	α	NOUN
ejpam-3663	228	62	,	,	PUNCT
ejpam-3663	228	63	β	β	X
ejpam-3663	228	64	,	,	PUNCT
ejpam-3663	228	65	λ	λ	PROPN
ejpam-3663	228	66	,	,	PUNCT
ejpam-3663	228	67	µ.	µ.	NOUN
ejpam-3663	228	68	6.1	6.1	NUM
ejpam-3663	228	69	.	.	PUNCT
ejpam-3663	229	1	ν	ν	X
ejpam-3663	229	2	=	=	SYM
ejpam-3663	229	3	ρ	ρ	PROPN
ejpam-3663	229	4	=	=	SYM
ejpam-3663	229	5	10	10	NUM
ejpam-3663	229	6	,	,	PUNCT
ejpam-3663	229	7	α	α	X
ejpam-3663	229	8	=	=	PUNCT
ejpam-3663	229	9	β	β	X
ejpam-3663	229	10	=	=	SYM
ejpam-3663	229	11	0.5	0.5	NUM
ejpam-3663	229	12	,	,	PUNCT
ejpam-3663	229	13	λ	λ	X
ejpam-3663	229	14	=	=	SYM
ejpam-3663	229	15	2	2	NUM
ejpam-3663	229	16	,	,	PUNCT
ejpam-3663	229	17	µ	µ	NOUN
ejpam-3663	229	18	=	=	SYM
ejpam-3663	229	19	3	3	NUM
ejpam-3663	229	20	error	error	NOUN
ejpam-3663	229	21	e1	e1	NOUN
ejpam-3663	229	22	∼	∼	NOUN
ejpam-3663	230	1	1.25827	1.25827	NUM
ejpam-3663	230	2	h.	h.	PROPN
ejpam-3663	230	3	k.	k.	PROPN
ejpam-3663	230	4	nigam	nigam	PROPN
ejpam-3663	230	5	,	,	PUNCT
ejpam-3663	230	6	md	md	PROPN
ejpam-3663	230	7	hadish	hadish	PROPN
ejpam-3663	230	8	/	/	SYM
ejpam-3663	230	9	eur	eur	PROPN
ejpam-3663	230	10	.	.	PUNCT
ejpam-3663	231	1	j.	j.	PROPN
ejpam-3663	231	2	pure	pure	PROPN
ejpam-3663	231	3	appl	appl	PROPN
ejpam-3663	231	4	.	.	PROPN
ejpam-3663	231	5	math	math	PROPN
ejpam-3663	231	6	,	,	PUNCT
ejpam-3663	231	7	13	13	NUM
ejpam-3663	231	8	(	(	PUNCT
ejpam-3663	231	9	3	3	NUM
ejpam-3663	231	10	)	)	PUNCT
ejpam-3663	231	11	(	(	PUNCT
ejpam-3663	231	12	2020	2020	NUM
ejpam-3663	231	13	)	)	PUNCT
ejpam-3663	231	14	,	,	PUNCT
ejpam-3663	231	15	567	567	NUM
ejpam-3663	231	16	-	-	SYM
ejpam-3663	231	17	578	578	NUM
ejpam-3663	231	18	576	576	NUM
ejpam-3663	231	19	6.2	6.2	NUM
ejpam-3663	231	20	.	.	PUNCT
ejpam-3663	232	1	ν	ν	X
ejpam-3663	232	2	=	=	SYM
ejpam-3663	232	3	ρ	ρ	PROPN
ejpam-3663	232	4	=	=	SYM
ejpam-3663	232	5	20	20	NUM
ejpam-3663	232	6	,	,	PUNCT
ejpam-3663	232	7	α	α	X
ejpam-3663	232	8	=	=	PUNCT
ejpam-3663	232	9	β	β	X
ejpam-3663	232	10	=	=	SYM
ejpam-3663	232	11	0.5	0.5	NUM
ejpam-3663	232	12	,	,	PUNCT
ejpam-3663	232	13	λ	λ	X
ejpam-3663	232	14	=	=	SYM
ejpam-3663	232	15	2	2	NUM
ejpam-3663	232	16	,	,	PUNCT
ejpam-3663	232	17	µ	µ	NOUN
ejpam-3663	232	18	=	=	SYM
ejpam-3663	232	19	3	3	NUM
ejpam-3663	232	20	error	error	NOUN
ejpam-3663	232	21	e2	e2	NOUN
ejpam-3663	232	22	∼	∼	NOUN
ejpam-3663	232	23	0.46798	0.46798	NUM
ejpam-3663	232	24	6.3	6.3	NUM
ejpam-3663	232	25	.	.	PUNCT
ejpam-3663	233	1	ν	ν	X
ejpam-3663	233	2	=	=	SYM
ejpam-3663	233	3	ρ	ρ	PROPN
ejpam-3663	233	4	=	=	SYM
ejpam-3663	233	5	50	50	NUM
ejpam-3663	233	6	,	,	PUNCT
ejpam-3663	233	7	α	α	X
ejpam-3663	233	8	=	=	PUNCT
ejpam-3663	233	9	β	β	X
ejpam-3663	233	10	=	=	SYM
ejpam-3663	233	11	0.5	0.5	NUM
ejpam-3663	233	12	,	,	PUNCT
ejpam-3663	233	13	λ	λ	X
ejpam-3663	233	14	=	=	SYM
ejpam-3663	233	15	2	2	NUM
ejpam-3663	233	16	,	,	PUNCT
ejpam-3663	233	17	µ	µ	NOUN
ejpam-3663	233	18	=	=	SYM
ejpam-3663	233	19	3	3	NUM
ejpam-3663	233	20	error	error	NOUN
ejpam-3663	233	21	e3	e3	NOUN
ejpam-3663	233	22	∼	∼	NOUN
ejpam-3663	233	23	0.111632	0.111632	NUM
ejpam-3663	233	24	6.4	6.4	NUM
ejpam-3663	233	25	.	.	PUNCT
ejpam-3663	234	1	ν	ν	X
ejpam-3663	234	2	=	=	SYM
ejpam-3663	234	3	ρ	ρ	PROPN
ejpam-3663	234	4	=	=	SYM
ejpam-3663	234	5	500	500	NUM
ejpam-3663	234	6	,	,	PUNCT
ejpam-3663	234	7	α	α	X
ejpam-3663	234	8	=	=	PUNCT
ejpam-3663	234	9	β	β	X
ejpam-3663	234	10	=	=	SYM
ejpam-3663	234	11	0.5	0.5	NUM
ejpam-3663	234	12	,	,	PUNCT
ejpam-3663	234	13	λ	λ	X
ejpam-3663	234	14	=	=	SYM
ejpam-3663	234	15	2	2	NUM
ejpam-3663	234	16	,	,	PUNCT
ejpam-3663	234	17	µ	µ	NOUN
ejpam-3663	234	18	=	=	SYM
ejpam-3663	234	19	3	3	NUM
ejpam-3663	234	20	error	error	NOUN
ejpam-3663	234	21	e4	e4	NOUN
ejpam-3663	234	22	∼	∼	VERB
ejpam-3663	234	23	0.0011456	0.0011456	NUM
ejpam-3663	234	24	6.5	6.5	NUM
ejpam-3663	234	25	.	.	PUNCT
ejpam-3663	235	1	ν	ν	X
ejpam-3663	235	2	=	=	SYM
ejpam-3663	235	3	ρ	ρ	PROPN
ejpam-3663	235	4	=	=	SYM
ejpam-3663	235	5	1000	1000	NUM
ejpam-3663	235	6	,	,	PUNCT
ejpam-3663	235	7	α	α	X
ejpam-3663	235	8	=	=	PUNCT
ejpam-3663	235	9	β	β	X
ejpam-3663	235	10	=	=	SYM
ejpam-3663	235	11	0.5	0.5	NUM
ejpam-3663	235	12	,	,	PUNCT
ejpam-3663	235	13	λ	λ	X
ejpam-3663	235	14	=	=	SYM
ejpam-3663	235	15	2	2	NUM
ejpam-3663	235	16	,	,	PUNCT
ejpam-3663	235	17	µ	µ	NOUN
ejpam-3663	235	18	=	=	SYM
ejpam-3663	235	19	3	3	NUM
ejpam-3663	235	20	error	error	NOUN
ejpam-3663	235	21	e5	e5	NOUN
ejpam-3663	235	22	∼	∼	NOUN
ejpam-3663	235	23	6.83193×	6.83193×	DET
ejpam-3663	235	24	10−4	10−4	NUM
ejpam-3663	235	25	.	.	PROPN
ejpam-3663	235	26	6.6	6.6	NUM
ejpam-3663	235	27	.	.	PUNCT
ejpam-3663	236	1	ν	ν	X
ejpam-3663	236	2	=	=	SYM
ejpam-3663	236	3	ρ	ρ	PROPN
ejpam-3663	236	4	=	=	SYM
ejpam-3663	236	5	10000	10000	NUM
ejpam-3663	236	6	,	,	PUNCT
ejpam-3663	236	7	α	α	X
ejpam-3663	236	8	=	=	PUNCT
ejpam-3663	236	9	β	β	X
ejpam-3663	236	10	=	=	SYM
ejpam-3663	236	11	0.5	0.5	NUM
ejpam-3663	236	12	,	,	PUNCT
ejpam-3663	236	13	λ	λ	X
ejpam-3663	236	14	=	=	SYM
ejpam-3663	236	15	2	2	NUM
ejpam-3663	236	16	,	,	PUNCT
ejpam-3663	236	17	µ	µ	NOUN
ejpam-3663	236	18	=	=	SYM
ejpam-3663	236	19	3	3	NUM
ejpam-3663	236	20	error	error	NOUN
ejpam-3663	236	21	e6	e6	NOUN
ejpam-3663	236	22	∼	∼	NOUN
ejpam-3663	236	23	1.13411×	1.13411×	NUM
ejpam-3663	236	24	10−5	10−5	NUM
ejpam-3663	236	25	.	.	PUNCT
ejpam-3663	237	1	6.7	6.7	NUM
ejpam-3663	237	2	.	.	PUNCT
ejpam-3663	238	1	ν	ν	X
ejpam-3663	238	2	=	=	SYM
ejpam-3663	238	3	ρ	ρ	PROPN
ejpam-3663	238	4	=	=	SYM
ejpam-3663	238	5	100000	100000	NUM
ejpam-3663	238	6	,	,	PUNCT
ejpam-3663	238	7	α	α	X
ejpam-3663	238	8	=	=	PUNCT
ejpam-3663	238	9	β	β	X
ejpam-3663	238	10	=	=	SYM
ejpam-3663	238	11	0.5	0.5	NUM
ejpam-3663	238	12	,	,	PUNCT
ejpam-3663	238	13	λ	λ	X
ejpam-3663	238	14	=	=	SYM
ejpam-3663	238	15	2	2	NUM
ejpam-3663	238	16	,	,	PUNCT
ejpam-3663	238	17	µ	µ	NOUN
ejpam-3663	238	18	=	=	SYM
ejpam-3663	238	19	3	3	NUM
ejpam-3663	238	20	error	error	NOUN
ejpam-3663	238	21	e7	e7	PROPN
ejpam-3663	238	22	∼	∼	NOUN
ejpam-3663	238	23	1.1191×	1.1191×	NUM
ejpam-3663	238	24	10−7	10−7	NUM
ejpam-3663	238	25	.	.	PUNCT
ejpam-3663	238	26	6.8	6.8	NUM
ejpam-3663	238	27	.	.	PUNCT
ejpam-3663	239	1	ν	ν	X
ejpam-3663	239	2	=	=	SYM
ejpam-3663	239	3	ρ	ρ	PROPN
ejpam-3663	239	4	=	=	SYM
ejpam-3663	239	5	1010	1010	NUM
ejpam-3663	239	6	,	,	PUNCT
ejpam-3663	239	7	α	α	X
ejpam-3663	239	8	=	=	PUNCT
ejpam-3663	239	9	β	β	X
ejpam-3663	239	10	=	=	SYM
ejpam-3663	239	11	0.5	0.5	NUM
ejpam-3663	239	12	,	,	PUNCT
ejpam-3663	239	13	λ	λ	X
ejpam-3663	239	14	=	=	SYM
ejpam-3663	239	15	2	2	NUM
ejpam-3663	239	16	,	,	PUNCT
ejpam-3663	239	17	µ	µ	NOUN
ejpam-3663	239	18	=	=	SYM
ejpam-3663	239	19	3	3	NUM
ejpam-3663	239	20	error	error	NOUN
ejpam-3663	239	21	e8	e8	NOUN
ejpam-3663	239	22	∼	∼	VERB
ejpam-3663	239	23	5.36301×	5.36301×	NUM
ejpam-3663	239	24	10−15	10−15	NOUN
ejpam-3663	239	25	.	.	PUNCT
ejpam-3663	240	1	7	7	X
ejpam-3663	240	2	.	.	X
ejpam-3663	240	3	conclusion	conclusion	NOUN
ejpam-3663	240	4	from	from	ADP
ejpam-3663	240	5	above	above	ADP
ejpam-3663	240	6	verification	verification	NOUN
ejpam-3663	240	7	,	,	PUNCT
ejpam-3663	240	8	we	we	PRON
ejpam-3663	240	9	observed	observe	VERB
ejpam-3663	240	10	that	that	SCONJ
ejpam-3663	240	11	error	error	NOUN
ejpam-3663	240	12	estimation	estimation	NOUN
ejpam-3663	240	13	approaches	approach	VERB
ejpam-3663	240	14	to	to	ADP
ejpam-3663	240	15	zero	zero	NUM
ejpam-3663	240	16	rapidly	rapidly	ADV
ejpam-3663	240	17	as	as	ADP
ejpam-3663	240	18	ν	ν	PROPN
ejpam-3663	240	19	,	,	PUNCT
ejpam-3663	240	20	ρ	ρ	PROPN
ejpam-3663	240	21	increase	increase	NOUN
ejpam-3663	240	22	infinitely	infinitely	ADV
ejpam-3663	240	23	.	.	PUNCT
ejpam-3663	241	1	thus	thus	ADV
ejpam-3663	241	2	,	,	PUNCT
ejpam-3663	241	3	we	we	PRON
ejpam-3663	241	4	arrive	arrive	VERB
ejpam-3663	241	5	at	at	ADP
ejpam-3663	241	6	the	the	DET
ejpam-3663	241	7	best	good	ADJ
ejpam-3663	241	8	approximation	approximation	NOUN
ejpam-3663	241	9	of	of	ADP
ejpam-3663	241	10	the	the	DET
ejpam-3663	241	11	function	function	NOUN
ejpam-3663	241	12	.	.	PUNCT
ejpam-3663	242	1	acknowledgements	acknowledgement	NOUN
ejpam-3663	242	2	first	first	ADJ
ejpam-3663	242	3	author	author	NOUN
ejpam-3663	242	4	expresses	express	VERB
ejpam-3663	242	5	his	his	PRON
ejpam-3663	242	6	gratitude	gratitude	NOUN
ejpam-3663	242	7	towards	towards	ADP
ejpam-3663	242	8	his	his	PRON
ejpam-3663	242	9	mother	mother	NOUN
ejpam-3663	242	10	for	for	ADP
ejpam-3663	242	11	her	her	PRON
ejpam-3663	242	12	blessings	blessing	NOUN
ejpam-3663	242	13	.	.	PUNCT
ejpam-3663	243	1	the	the	DET
ejpam-3663	243	2	first	first	ADJ
ejpam-3663	243	3	author	author	NOUN
ejpam-3663	243	4	also	also	ADV
ejpam-3663	243	5	expresses	express	VERB
ejpam-3663	243	6	his	his	PRON
ejpam-3663	243	7	gratitude	gratitude	NOUN
ejpam-3663	243	8	towards	towards	ADP
ejpam-3663	243	9	his	his	PRON
ejpam-3663	243	10	father	father	NOUN
ejpam-3663	243	11	in	in	ADP
ejpam-3663	243	12	heaven	heaven	PROPN
ejpam-3663	243	13	,	,	PUNCT
ejpam-3663	243	14	whose	whose	DET
ejpam-3663	243	15	soul	soul	NOUN
ejpam-3663	243	16	is	be	AUX
ejpam-3663	243	17	always	always	ADV
ejpam-3663	243	18	guiding	guide	VERB
ejpam-3663	243	19	and	and	CCONJ
ejpam-3663	243	20	encouraging	encourage	VERB
ejpam-3663	243	21	him	he	PRON
ejpam-3663	243	22	.	.	PUNCT
ejpam-3663	244	1	second	second	ADJ
ejpam-3663	244	2	author	author	NOUN
ejpam-3663	244	3	is	be	AUX
ejpam-3663	244	4	thankful	thankful	ADJ
ejpam-3663	244	5	to	to	ADP
ejpam-3663	244	6	the	the	DET
ejpam-3663	244	7	university	university	NOUN
ejpam-3663	244	8	grants	grant	NOUN
ejpam-3663	244	9	commission	commission	PROPN
ejpam-3663	244	10	,	,	PUNCT
ejpam-3663	244	11	india	india	PROPN
ejpam-3663	244	12	for	for	ADP
ejpam-3663	244	13	providing	provide	VERB
ejpam-3663	244	14	senior	senior	ADJ
ejpam-3663	244	15	research	research	NOUN
ejpam-3663	244	16	fellowship(srf	fellowship(srf	NOUN
ejpam-3663	244	17	)	)	PUNCT
ejpam-3663	244	18	to	to	PART
ejpam-3663	244	19	carry	carry	VERB
ejpam-3663	244	20	out	out	ADP
ejpam-3663	244	21	the	the	DET
ejpam-3663	244	22	present	present	ADJ
ejpam-3663	244	23	work	work	NOUN
ejpam-3663	244	24	as	as	ADP
ejpam-3663	244	25	a	a	DET
ejpam-3663	244	26	part	part	NOUN
ejpam-3663	244	27	of	of	ADP
ejpam-3663	244	28	ph.d	ph.d	PROPN
ejpam-3663	244	29	,	,	PUNCT
ejpam-3663	244	30	degree	degree	NOUN
ejpam-3663	244	31	.	.	PUNCT
ejpam-3663	245	1	the	the	DET
ejpam-3663	245	2	second	second	ADJ
ejpam-3663	245	3	author	author	NOUN
ejpam-3663	245	4	also	also	ADV
ejpam-3663	245	5	expresses	express	VERB
ejpam-3663	245	6	his	his	PRON
ejpam-3663	245	7	gratitude	gratitude	NOUN
ejpam-3663	245	8	towards	towards	ADP
ejpam-3663	245	9	his	his	PRON
ejpam-3663	245	10	parents	parent	NOUN
ejpam-3663	245	11	for	for	ADP
ejpam-3663	245	12	blessings	blessing	NOUN
ejpam-3663	245	13	.	.	PUNCT
ejpam-3663	246	1	both	both	CCONJ
ejpam-3663	246	2	the	the	DET
ejpam-3663	246	3	authors	author	NOUN
ejpam-3663	246	4	are	be	AUX
ejpam-3663	246	5	also	also	ADV
ejpam-3663	246	6	grateful	grateful	ADJ
ejpam-3663	246	7	to	to	ADP
ejpam-3663	246	8	the	the	DET
ejpam-3663	246	9	hon’ble	hon’ble	ADJ
ejpam-3663	246	10	vice	vice	NOUN
ejpam-3663	246	11	-	-	NOUN
ejpam-3663	246	12	chancellor	chancellor	ADJ
ejpam-3663	246	13	,	,	PUNCT
ejpam-3663	246	14	central	central	ADJ
ejpam-3663	246	15	university	university	NOUN
ejpam-3663	246	16	of	of	ADP
ejpam-3663	246	17	south	south	PROPN
ejpam-3663	246	18	bihar	bihar	PROPN
ejpam-3663	246	19	,	,	PUNCT
ejpam-3663	246	20	for	for	ADP
ejpam-3663	246	21	motivation	motivation	NOUN
ejpam-3663	246	22	to	to	ADP
ejpam-3663	246	23	this	this	DET
ejpam-3663	246	24	work	work	NOUN
ejpam-3663	246	25	.	.	PUNCT
ejpam-3663	247	1	references	reference	NOUN
ejpam-3663	247	2	577	577	NUM
ejpam-3663	247	3	references	reference	NOUN
ejpam-3663	247	4	[	[	X
ejpam-3663	247	5	1	1	NUM
ejpam-3663	247	6	]	]	PUNCT
ejpam-3663	247	7	ralph	ralph	PROPN
ejpam-3663	247	8	palmer	palmer	PROPN
ejpam-3663	247	9	agnew	agnew	PROPN
ejpam-3663	247	10	et	et	PROPN
ejpam-3663	247	11	al	al	PROPN
ejpam-3663	247	12	.	.	PUNCT
ejpam-3663	248	1	the	the	DET
ejpam-3663	248	2	lototsky	lototsky	ADJ
ejpam-3663	248	3	method	method	NOUN
ejpam-3663	248	4	for	for	ADP
ejpam-3663	248	5	evaluation	evaluation	NOUN
ejpam-3663	248	6	of	of	ADP
ejpam-3663	248	7	series	series	NOUN
ejpam-3663	248	8	.	.	PUNCT
ejpam-3663	249	1	the	the	DET
ejpam-3663	249	2	michigan	michigan	PROPN
ejpam-3663	249	3	mathematical	mathematical	PROPN
ejpam-3663	249	4	journal	journal	PROPN
ejpam-3663	249	5	,	,	PUNCT
ejpam-3663	249	6	4(2):105–128	4(2):105–128	NUM
ejpam-3663	249	7	,	,	PUNCT
ejpam-3663	249	8	1957	1957	NUM
ejpam-3663	249	9	.	.	PUNCT
ejpam-3663	250	1	[	[	X
ejpam-3663	250	2	2	2	X
ejpam-3663	250	3	]	]	X
ejpam-3663	250	4	g.	g.	PROPN
ejpam-3663	250	5	alexits	alexits	PROPN
ejpam-3663	250	6	.	.	PUNCT
ejpam-3663	251	1	problems	problem	NOUN
ejpam-3663	251	2	in	in	ADP
ejpam-3663	251	3	the	the	DET
ejpam-3663	251	4	convergence	convergence	NOUN
ejpam-3663	251	5	of	of	ADP
ejpam-3663	251	6	orthogonal	orthogonal	ADJ
ejpam-3663	251	7	series	series	NOUN
ejpam-3663	251	8	,	,	PUNCT
ejpam-3663	251	9	1961	1961	NUM
ejpam-3663	251	10	.	.	PUNCT
ejpam-3663	252	1	[	[	X
ejpam-3663	252	2	3	3	X
ejpam-3663	252	3	]	]	PUNCT
ejpam-3663	252	4	s.	s.	PROPN
ejpam-3663	252	5	n.	n.	PROPN
ejpam-3663	252	6	bernstein	bernstein	PROPN
ejpam-3663	252	7	.	.	PUNCT
ejpam-3663	253	1	on	on	ADP
ejpam-3663	253	2	the	the	DET
ejpam-3663	253	3	best	good	ADJ
ejpam-3663	253	4	approximation	approximation	NOUN
ejpam-3663	253	5	of	of	ADP
ejpam-3663	253	6	continuous	continuous	ADJ
ejpam-3663	253	7	functions	function	NOUN
ejpam-3663	253	8	by	by	ADP
ejpam-3663	253	9	polynomials	polynomial	NOUN
ejpam-3663	253	10	of	of	ADP
ejpam-3663	253	11	given	give	VERB
ejpam-3663	253	12	degree	degree	NOUN
ejpam-3663	253	13	(	(	PUNCT
ejpam-3663	253	14	1912	1912	NUM
ejpam-3663	253	15	)	)	PUNCT
ejpam-3663	253	16	.	.	PUNCT
ejpam-3663	254	1	collected	collect	VERB
ejpam-3663	254	2	works	work	NOUN
ejpam-3663	254	3	,	,	PUNCT
ejpam-3663	254	4	1:11–104	1:11–104	NUM
ejpam-3663	254	5	,	,	PUNCT
ejpam-3663	254	6	1952	1952	NUM
ejpam-3663	254	7	.	.	PUNCT
ejpam-3663	255	1	[	[	X
ejpam-3663	255	2	4	4	X
ejpam-3663	255	3	]	]	X
ejpam-3663	255	4	p.	p.	PROPN
ejpam-3663	255	5	chandra	chandra	PROPN
ejpam-3663	255	6	.	.	PUNCT
ejpam-3663	256	1	on	on	ADP
ejpam-3663	256	2	the	the	DET
ejpam-3663	256	3	generalised	generalise	VERB
ejpam-3663	256	4	fejér	fejér	NOUN
ejpam-3663	256	5	means	mean	VERB
ejpam-3663	256	6	in	in	ADP
ejpam-3663	256	7	the	the	DET
ejpam-3663	256	8	metric	metric	NOUN
ejpam-3663	256	9	of	of	ADP
ejpam-3663	256	10	hölder	hölder	NOUN
ejpam-3663	256	11	space	space	NOUN
ejpam-3663	256	12	.	.	PUNCT
ejpam-3663	257	1	mathematische	mathematische	PROPN
ejpam-3663	257	2	nachrichten	nachrichten	PROPN
ejpam-3663	257	3	,	,	PUNCT
ejpam-3663	257	4	109(1):39–45	109(1):39–45	NUM
ejpam-3663	257	5	,	,	PUNCT
ejpam-3663	257	6	1982	1982	NUM
ejpam-3663	257	7	.	.	PUNCT
ejpam-3663	258	1	[	[	X
ejpam-3663	258	2	5	5	X
ejpam-3663	258	3	]	]	PUNCT
ejpam-3663	258	4	p.	p.	PROPN
ejpam-3663	258	5	chandra	chandra	PROPN
ejpam-3663	258	6	.	.	PUNCT
ejpam-3663	259	1	trigonometric	trigonometric	ADJ
ejpam-3663	259	2	approximation	approximation	NOUN
ejpam-3663	259	3	of	of	ADP
ejpam-3663	259	4	functions	function	NOUN
ejpam-3663	259	5	in	in	ADP
ejpam-3663	259	6	lp	lp	NOUN
ejpam-3663	259	7	-	-	PUNCT
ejpam-3663	259	8	norm	norm	NOUN
ejpam-3663	259	9	.	.	PUNCT
ejpam-3663	260	1	journal	journal	PROPN
ejpam-3663	260	2	of	of	ADP
ejpam-3663	260	3	mathematical	mathematical	ADJ
ejpam-3663	260	4	analysis	analysis	NOUN
ejpam-3663	260	5	and	and	CCONJ
ejpam-3663	260	6	applications	application	NOUN
ejpam-3663	260	7	,	,	PUNCT
ejpam-3663	260	8	275(1):13–26	275(1):13–26	NOUN
ejpam-3663	260	9	,	,	PUNCT
ejpam-3663	260	10	2002	2002	NUM
ejpam-3663	260	11	.	.	PUNCT
ejpam-3663	261	1	[	[	X
ejpam-3663	261	2	6	6	NUM
ejpam-3663	261	3	]	]	PUNCT
ejpam-3663	261	4	h.	h.	PROPN
ejpam-3663	261	5	k.	k.	PROPN
ejpam-3663	261	6	neha	neha	PROPN
ejpam-3663	261	7	k.	k.	PROPN
ejpam-3663	261	8	qureshi	qureshi	PROPN
ejpam-3663	261	9	.	.	PUNCT
ejpam-3663	262	1	a	a	DET
ejpam-3663	262	2	class	class	NOUN
ejpam-3663	262	3	of	of	ADP
ejpam-3663	262	4	functions	function	NOUN
ejpam-3663	262	5	and	and	CCONJ
ejpam-3663	262	6	their	their	PRON
ejpam-3663	262	7	degree	degree	NOUN
ejpam-3663	262	8	of	of	ADP
ejpam-3663	262	9	approximation	approximation	NOUN
ejpam-3663	262	10	.	.	PUNCT
ejpam-3663	263	1	ganita	ganita	PROPN
ejpam-3663	263	2	,	,	PUNCT
ejpam-3663	263	3	41(1):37–42	41(1):37–42	NUM
ejpam-3663	263	4	,	,	PUNCT
ejpam-3663	263	5	1990	1990	NUM
ejpam-3663	263	6	.	.	PUNCT
ejpam-3663	264	1	[	[	X
ejpam-3663	264	2	7	7	X
ejpam-3663	264	3	]	]	X
ejpam-3663	264	4	j.	j.	PROPN
ejpam-3663	264	5	karamata	karamata	PROPN
ejpam-3663	264	6	.	.	PUNCT
ejpam-3663	265	1	théorèmes	théorèmes	PROPN
ejpam-3663	265	2	sur	sur	PROPN
ejpam-3663	265	3	la	la	PROPN
ejpam-3663	265	4	sommabilité	sommabilité	NOUN
ejpam-3663	265	5	exponentielle	exponentielle	NOUN
ejpam-3663	265	6	et	et	NOUN
ejpam-3663	265	7	d’autres	d’autre	VERB
ejpam-3663	265	8	sommabilités	sommabilités	PROPN
ejpam-3663	265	9	s’y	s’y	PROPN
ejpam-3663	265	10	rattachant	rattachant	PROPN
ejpam-3663	265	11	.	.	PUNCT
ejpam-3663	266	1	1935	1935	NUM
ejpam-3663	266	2	.	.	PUNCT
ejpam-3663	267	1	[	[	X
ejpam-3663	267	2	8	8	NUM
ejpam-3663	267	3	]	]	PUNCT
ejpam-3663	267	4	p.	p.	PROPN
ejpam-3663	267	5	d.	d.	PROPN
ejpam-3663	267	6	kathal	kathal	PROPN
ejpam-3663	267	7	.	.	PUNCT
ejpam-3663	268	1	a	a	DET
ejpam-3663	268	2	new	new	ADJ
ejpam-3663	268	3	criteria	criterion	NOUN
ejpam-3663	268	4	for	for	ADP
ejpam-3663	268	5	karamata	karamata	ADJ
ejpam-3663	268	6	summability	summability	NOUN
ejpam-3663	268	7	of	of	ADP
ejpam-3663	268	8	fourier	fourier	ADJ
ejpam-3663	268	9	series	series	NOUN
ejpam-3663	268	10	.	.	PUNCT
ejpam-3663	269	1	riv	riv	PROPN
ejpam-3663	269	2	math	math	PROPN
ejpam-3663	269	3	univ	univ	PROPN
ejpam-3663	269	4	parma	parma	PROPN
ejpam-3663	269	5	italy	italy	PROPN
ejpam-3663	269	6	,	,	PUNCT
ejpam-3663	269	7	10:33–38	10:33–38	PROPN
ejpam-3663	269	8	,	,	PUNCT
ejpam-3663	269	9	1969	1969	NUM
ejpam-3663	269	10	.	.	PUNCT
ejpam-3663	270	1	[	[	X
ejpam-3663	270	2	9	9	NUM
ejpam-3663	270	3	]	]	PUNCT
ejpam-3663	270	4	s.	s.	PROPN
ejpam-3663	270	5	lal	lal	PROPN
ejpam-3663	270	6	.	.	PUNCT
ejpam-3663	271	1	on	on	ADP
ejpam-3663	271	2	the	the	DET
ejpam-3663	271	3	approximation	approximation	NOUN
ejpam-3663	271	4	of	of	ADP
ejpam-3663	271	5	function	function	NOUN
ejpam-3663	271	6	f	f	PROPN
ejpam-3663	271	7	(	(	PUNCT
ejpam-3663	271	8	x	x	PROPN
ejpam-3663	271	9	,	,	PUNCT
ejpam-3663	271	10	y	y	NOUN
ejpam-3663	271	11	)	)	PUNCT
ejpam-3663	271	12	belonging	belong	VERB
ejpam-3663	271	13	to	to	AUX
ejpam-3663	271	14	lipschitz	lipschitz	VERB
ejpam-3663	271	15	class	class	NOUN
ejpam-3663	271	16	by	by	ADP
ejpam-3663	271	17	matrix	matrix	NOUN
ejpam-3663	271	18	summability	summability	NOUN
ejpam-3663	271	19	method	method	NOUN
ejpam-3663	271	20	of	of	ADP
ejpam-3663	271	21	double	double	ADJ
ejpam-3663	271	22	fourier	fourier	NOUN
ejpam-3663	271	23	series	series	NOUN
ejpam-3663	271	24	.	.	PUNCT
ejpam-3663	272	1	journal	journal	PROPN
ejpam-3663	272	2	of	of	ADP
ejpam-3663	272	3	the	the	DET
ejpam-3663	272	4	indian	indian	ADJ
ejpam-3663	272	5	math	math	PROPN
ejpam-3663	272	6	.	.	PUNCT
ejpam-3663	273	1	soc	soc	PROPN
ejpam-3663	273	2	,	,	PUNCT
ejpam-3663	273	3	78(1	78(1	PROPN
ejpam-3663	273	4	-	-	PUNCT
ejpam-3663	273	5	4):93–101	4):93–101	NUM
ejpam-3663	273	6	,	,	PUNCT
ejpam-3663	273	7	2011	2011	NUM
ejpam-3663	273	8	.	.	PUNCT
ejpam-3663	274	1	[	[	X
ejpam-3663	274	2	10	10	NUM
ejpam-3663	274	3	]	]	X
ejpam-3663	274	4	a.v	a.v	PROPN
ejpam-3663	274	5	.	.	PROPN
ejpam-3663	274	6	lotosky	lotosky	PROPN
ejpam-3663	274	7	.	.	PUNCT
ejpam-3663	275	1	on	on	ADP
ejpam-3663	275	2	a	a	DET
ejpam-3663	275	3	linear	linear	ADJ
ejpam-3663	275	4	transformation	transformation	NOUN
ejpam-3663	275	5	of	of	ADP
ejpam-3663	275	6	sequences	sequence	NOUN
ejpam-3663	275	7	.	.	PUNCT
ejpam-3663	276	1	ivanov	ivanov	PROPN
ejpam-3663	276	2	gos	gos	PROPN
ejpam-3663	276	3	red	red	PROPN
ejpam-3663	276	4	inst	inst	PROPN
ejpam-3663	276	5	fluchen	fluchen	PROPN
ejpam-3663	276	6	zap	zap	PROPN
ejpam-3663	276	7	,	,	PUNCT
ejpam-3663	276	8	4:61	4:61	NUM
ejpam-3663	276	9	,	,	PUNCT
ejpam-3663	276	10	1963	1963	NUM
ejpam-3663	276	11	.	.	PUNCT
ejpam-3663	277	1	[	[	X
ejpam-3663	277	2	11	11	NUM
ejpam-3663	277	3	]	]	PUNCT
ejpam-3663	277	4	r.	r.	PROPN
ejpam-3663	277	5	n.	n.	PROPN
ejpam-3663	277	6	mohapatra	mohapatra	PROPN
ejpam-3663	277	7	and	and	CCONJ
ejpam-3663	277	8	p.	p.	PROPN
ejpam-3663	277	9	chandra	chandra	PROPN
ejpam-3663	277	10	.	.	PUNCT
ejpam-3663	277	11	degree	degree	NOUN
ejpam-3663	277	12	of	of	ADP
ejpam-3663	277	13	approximation	approximation	NOUN
ejpam-3663	277	14	of	of	ADP
ejpam-3663	277	15	functions	function	NOUN
ejpam-3663	277	16	in	in	ADP
ejpam-3663	277	17	the	the	DET
ejpam-3663	277	18	hölder	hölder	NOUN
ejpam-3663	277	19	metric	metric	NOUN
ejpam-3663	277	20	.	.	PUNCT
ejpam-3663	278	1	acta	acta	PROPN
ejpam-3663	278	2	mathematica	mathematica	PROPN
ejpam-3663	278	3	hungarica	hungarica	PROPN
ejpam-3663	278	4	,	,	PUNCT
ejpam-3663	278	5	41(1	41(1	NOUN
ejpam-3663	278	6	-	-	PUNCT
ejpam-3663	278	7	2):67–76	2):67–76	NUM
ejpam-3663	278	8	,	,	PUNCT
ejpam-3663	278	9	1983	1983	NUM
ejpam-3663	278	10	.	.	PUNCT
ejpam-3663	279	1	[	[	X
ejpam-3663	279	2	12	12	NUM
ejpam-3663	279	3	]	]	PUNCT
ejpam-3663	279	4	h.	h.	PROPN
ejpam-3663	279	5	k.	k.	PROPN
ejpam-3663	279	6	nigam	nigam	PROPN
ejpam-3663	279	7	and	and	CCONJ
ejpam-3663	279	8	k.	k.	PROPN
ejpam-3663	279	9	sharma	sharma	PROPN
ejpam-3663	279	10	.	.	PUNCT
ejpam-3663	280	1	a	a	DET
ejpam-3663	280	2	study	study	NOUN
ejpam-3663	280	3	on	on	ADP
ejpam-3663	280	4	degree	degree	NOUN
ejpam-3663	280	5	of	of	ADP
ejpam-3663	280	6	approximation	approximation	NOUN
ejpam-3663	280	7	by	by	ADP
ejpam-3663	280	8	karamata	karamata	ADJ
ejpam-3663	280	9	summability	summability	NOUN
ejpam-3663	280	10	method	method	NOUN
ejpam-3663	280	11	.	.	PUNCT
ejpam-3663	281	1	journal	journal	NOUN
ejpam-3663	281	2	of	of	ADP
ejpam-3663	281	3	inequalities	inequality	NOUN
ejpam-3663	281	4	and	and	CCONJ
ejpam-3663	281	5	applications	application	NOUN
ejpam-3663	281	6	,	,	PUNCT
ejpam-3663	281	7	2011(1):85	2011(1):85	NUM
ejpam-3663	281	8	,	,	PUNCT
ejpam-3663	281	9	2011	2011	NUM
ejpam-3663	281	10	.	.	PUNCT
ejpam-3663	282	1	[	[	X
ejpam-3663	282	2	13	13	NUM
ejpam-3663	282	3	]	]	PUNCT
ejpam-3663	282	4	s.	s.	PROPN
ejpam-3663	282	5	prössdorf	prössdorf	PROPN
ejpam-3663	282	6	.	.	PUNCT
ejpam-3663	282	7	zur	zur	PROPN
ejpam-3663	282	8	konvergenz	konvergenz	PROPN
ejpam-3663	282	9	der	der	PROPN
ejpam-3663	282	10	fourierreihen	fourierreihen	PROPN
ejpam-3663	282	11	hölderstetiger	hölderstetiger	PROPN
ejpam-3663	282	12	funktionen	funktionen	PROPN
ejpam-3663	282	13	.	.	PUNCT
ejpam-3663	283	1	mathematische	mathematische	PROPN
ejpam-3663	283	2	nachrichten	nachrichten	PROPN
ejpam-3663	283	3	,	,	PUNCT
ejpam-3663	283	4	69(1):7–14	69(1):7–14	PROPN
ejpam-3663	283	5	,	,	PUNCT
ejpam-3663	283	6	1975	1975	NUM
ejpam-3663	283	7	.	.	PUNCT
ejpam-3663	284	1	[	[	X
ejpam-3663	284	2	14	14	NUM
ejpam-3663	284	3	]	]	PUNCT
ejpam-3663	284	4	k.	k.	PROPN
ejpam-3663	284	5	qureshi	qureshi	PROPN
ejpam-3663	284	6	.	.	PUNCT
ejpam-3663	285	1	on	on	ADP
ejpam-3663	285	2	the	the	DET
ejpam-3663	285	3	degree	degree	NOUN
ejpam-3663	285	4	of	of	ADP
ejpam-3663	285	5	approximation	approximation	NOUN
ejpam-3663	285	6	of	of	ADP
ejpam-3663	285	7	a	a	DET
ejpam-3663	285	8	periodic	periodic	ADJ
ejpam-3663	285	9	function	function	NOUN
ejpam-3663	285	10	f	f	NOUN
ejpam-3663	285	11	by	by	ADP
ejpam-3663	285	12	almost	almost	ADV
ejpam-3663	285	13	nörlund	nörlund	NOUN
ejpam-3663	285	14	means	mean	NOUN
ejpam-3663	285	15	.	.	PUNCT
ejpam-3663	286	1	tamkang	tamkang	PROPN
ejpam-3663	286	2	j.	j.	PROPN
ejpam-3663	286	3	math	math	PROPN
ejpam-3663	286	4	,	,	PUNCT
ejpam-3663	286	5	12(1):35–38	12(1):35–38	NUM
ejpam-3663	286	6	,	,	PUNCT
ejpam-3663	286	7	1981	1981	NUM
ejpam-3663	286	8	.	.	PUNCT
ejpam-3663	287	1	[	[	X
ejpam-3663	287	2	15	15	NUM
ejpam-3663	287	3	]	]	X
ejpam-3663	287	4	b.	b.	PROPN
ejpam-3663	287	5	e.	e.	PROPN
ejpam-3663	287	6	rhoades	rhoades	PROPN
ejpam-3663	287	7	.	.	PUNCT
ejpam-3663	288	1	on	on	ADP
ejpam-3663	288	2	the	the	DET
ejpam-3663	288	3	degree	degree	NOUN
ejpam-3663	288	4	of	of	ADP
ejpam-3663	288	5	approximation	approximation	NOUN
ejpam-3663	288	6	of	of	ADP
ejpam-3663	288	7	functions	function	NOUN
ejpam-3663	288	8	belonging	belong	VERB
ejpam-3663	288	9	to	to	ADP
ejpam-3663	288	10	a	a	DET
ejpam-3663	288	11	lipschitz	lipschitz	NOUN
ejpam-3663	288	12	class	class	NOUN
ejpam-3663	288	13	by	by	ADP
ejpam-3663	288	14	hausdorff	hausdorff	NOUN
ejpam-3663	288	15	means	mean	NOUN
ejpam-3663	288	16	of	of	ADP
ejpam-3663	288	17	its	its	PRON
ejpam-3663	288	18	fourier	fourier	NOUN
ejpam-3663	288	19	series	series	NOUN
ejpam-3663	288	20	.	.	PUNCT
ejpam-3663	289	1	tamkang	tamkang	PROPN
ejpam-3663	289	2	journal	journal	PROPN
ejpam-3663	289	3	of	of	ADP
ejpam-3663	289	4	mathematics	mathematic	NOUN
ejpam-3663	289	5	,	,	PUNCT
ejpam-3663	289	6	34(3):245–247	34(3):245–247	PROPN
ejpam-3663	289	7	,	,	PUNCT
ejpam-3663	289	8	2003	2003	NUM
ejpam-3663	289	9	.	.	PUNCT
ejpam-3663	290	1	references	reference	NOUN
ejpam-3663	290	2	578	578	NUM
ejpam-3663	290	3	[	[	X
ejpam-3663	290	4	16	16	NUM
ejpam-3663	290	5	]	]	PUNCT
ejpam-3663	290	6	b.	b.	PROPN
ejpam-3663	290	7	n.	n.	PROPN
ejpam-3663	290	8	sahney	sahney	NOUN
ejpam-3663	290	9	and	and	CCONJ
ejpam-3663	290	10	d.	d.	PROPN
ejpam-3663	290	11	s.	s.	PROPN
ejpam-3663	290	12	goel	goel	PROPN
ejpam-3663	290	13	.	.	PUNCT
ejpam-3663	291	1	on	on	ADP
ejpam-3663	291	2	the	the	DET
ejpam-3663	291	3	degree	degree	NOUN
ejpam-3663	291	4	of	of	ADP
ejpam-3663	291	5	continuous	continuous	ADJ
ejpam-3663	291	6	functions	function	NOUN
ejpam-3663	291	7	,	,	PUNCT
ejpam-3663	291	8	ranchi	ranchi	PROPN
ejpam-3663	291	9	university	university	PROPN
ejpam-3663	291	10	math	math	NOUN
ejpam-3663	291	11	.	.	PUNCT
ejpam-3663	292	1	jour	jour	X
ejpam-3663	292	2	,	,	PUNCT
ejpam-3663	292	3	4:50–53	4:50–53	NUM
ejpam-3663	292	4	,	,	PUNCT
ejpam-3663	292	5	1973	1973	NUM
ejpam-3663	292	6	.	.	PUNCT
ejpam-3663	293	1	[	[	X
ejpam-3663	293	2	17	17	NUM
ejpam-3663	293	3	]	]	PUNCT
ejpam-3663	293	4	a.	a.	NOUN
ejpam-3663	293	5	i.	i.	PROPN
ejpam-3663	293	6	stepanets	stepanets	PROPN
ejpam-3663	293	7	.	.	PUNCT
ejpam-3663	294	1	approximation	approximation	NOUN
ejpam-3663	294	2	of	of	ADP
ejpam-3663	294	3	certain	certain	ADJ
ejpam-3663	294	4	classes	class	NOUN
ejpam-3663	294	5	of	of	ADP
ejpam-3663	294	6	periodic	periodic	ADJ
ejpam-3663	294	7	functions	function	NOUN
ejpam-3663	294	8	of	of	ADP
ejpam-3663	294	9	two	two	NUM
ejpam-3663	294	10	variables	variable	NOUN
ejpam-3663	294	11	by	by	ADP
ejpam-3663	294	12	linear	linear	ADJ
ejpam-3663	294	13	methods	method	NOUN
ejpam-3663	294	14	of	of	ADP
ejpam-3663	294	15	summation	summation	NOUN
ejpam-3663	294	16	of	of	ADP
ejpam-3663	294	17	their	their	PRON
ejpam-3663	294	18	fourier	fourier	ADJ
ejpam-3663	294	19	series	series	NOUN
ejpam-3663	294	20	.	.	PUNCT
ejpam-3663	295	1	ukrainian	ukrainian	ADJ
ejpam-3663	295	2	mathematical	mathematical	ADJ
ejpam-3663	295	3	journal	journal	NOUN
ejpam-3663	295	4	,	,	PUNCT
ejpam-3663	295	5	26(2):168–176	26(2):168–176	PROPN
ejpam-3663	295	6	,	,	PUNCT
ejpam-3663	295	7	1974	1974	NUM
ejpam-3663	295	8	.	.	PUNCT
ejpam-3663	296	1	[	[	X
ejpam-3663	296	2	18	18	NUM
ejpam-3663	296	3	]	]	X
ejpam-3663	296	4	ai	ai	NOUN
ejpam-3663	296	5	stepanets	stepanet	NOUN
ejpam-3663	296	6	.	.	PUNCT
ejpam-3663	297	1	the	the	DET
ejpam-3663	297	2	approximation	approximation	NOUN
ejpam-3663	297	3	of	of	ADP
ejpam-3663	297	4	certain	certain	ADJ
ejpam-3663	297	5	classes	class	NOUN
ejpam-3663	297	6	of	of	ADP
ejpam-3663	297	7	differentiable	differentiable	ADJ
ejpam-3663	297	8	periodic	periodic	ADJ
ejpam-3663	297	9	functions	function	NOUN
ejpam-3663	297	10	of	of	ADP
ejpam-3663	297	11	two	two	NUM
ejpam-3663	297	12	variables	variable	NOUN
ejpam-3663	297	13	by	by	ADP
ejpam-3663	297	14	fourier	fourier	ADJ
ejpam-3663	297	15	sums	sum	NOUN
ejpam-3663	297	16	.	.	PUNCT
ejpam-3663	298	1	ukrainian	ukrainian	ADJ
ejpam-3663	298	2	mathematical	mathematical	ADJ
ejpam-3663	298	3	journal	journal	NOUN
ejpam-3663	298	4	,	,	PUNCT
ejpam-3663	298	5	25(5):498–506	25(5):498–506	PROPN
ejpam-3663	298	6	,	,	PUNCT
ejpam-3663	298	7	1973	1973	NUM
ejpam-3663	298	8	.	.	PUNCT
ejpam-3663	299	1	[	[	X
ejpam-3663	299	2	19	19	NUM
ejpam-3663	299	3	]	]	X
ejpam-3663	299	4	v.	v.	ADP
ejpam-3663	299	5	vučković.	vučković.	PROPN
ejpam-3663	299	6	the	the	DET
ejpam-3663	299	7	summability	summability	NOUN
ejpam-3663	299	8	of	of	ADP
ejpam-3663	299	9	fourier	fourier	ADJ
ejpam-3663	299	10	series	series	NOUN
ejpam-3663	299	11	by	by	ADP
ejpam-3663	299	12	karamata	karamata	ADJ
ejpam-3663	299	13	methods	method	NOUN
ejpam-3663	299	14	.	.	PUNCT
ejpam-3663	300	1	mathematische	mathematische	PROPN
ejpam-3663	300	2	zeitschrift	zeitschrift	NOUN
ejpam-3663	300	3	,	,	PUNCT
ejpam-3663	300	4	89(3):192–195	89(3):192–195	NUM
ejpam-3663	300	5	,	,	PUNCT
ejpam-3663	300	6	1965	1965	NUM
ejpam-3663	300	7	.	.	PUNCT
ejpam-3663	301	1	[	[	X
ejpam-3663	301	2	20	20	NUM
ejpam-3663	301	3	]	]	PUNCT
ejpam-3663	301	4	a.	a.	NOUN
ejpam-3663	301	5	zygmund	zygmund	PROPN
ejpam-3663	301	6	.	.	PUNCT
ejpam-3663	302	1	trigonometric	trigonometric	PROPN
ejpam-3663	302	2	series	series	NOUN
ejpam-3663	302	3	,	,	PUNCT
ejpam-3663	302	4	volume	volume	NOUN
ejpam-3663	302	5	1	1	NUM
ejpam-3663	302	6	.	.	PUNCT
ejpam-3663	302	7	cambridge	cambridge	PROPN
ejpam-3663	302	8	university	university	PROPN
ejpam-3663	302	9	press	press	NOUN
ejpam-3663	302	10	,	,	PUNCT
ejpam-3663	302	11	2002	2002	NUM
ejpam-3663	302	12	.	.	PUNCT
