id	sid	tid	token	lemma	pos
ejpam-3403	1	1	european	european	PROPN
ejpam-3403	1	2	journal	journal	PROPN
ejpam-3403	1	3	of	of	ADP
ejpam-3403	1	4	pure	pure	ADJ
ejpam-3403	1	5	and	and	CCONJ
ejpam-3403	1	6	applied	apply	VERB
ejpam-3403	1	7	mathematics	mathematic	NOUN
ejpam-3403	1	8	vol	vol	NOUN
ejpam-3403	1	9	.	.	PROPN
ejpam-3403	2	1	12	12	NUM
ejpam-3403	2	2	,	,	PUNCT
ejpam-3403	2	3	no	no	INTJ
ejpam-3403	2	4	.	.	NOUN
ejpam-3403	2	5	2	2	NUM
ejpam-3403	2	6	,	,	PUNCT
ejpam-3403	2	7	2019	2019	NUM
ejpam-3403	2	8	,	,	PUNCT
ejpam-3403	2	9	605	605	NUM
ejpam-3403	2	10	-	-	SYM
ejpam-3403	2	11	621	621	NUM
ejpam-3403	2	12	issn	issn	PROPN
ejpam-3403	2	13	1307	1307	NUM
ejpam-3403	2	14	-	-	SYM
ejpam-3403	2	15	5543	5543	NUM
ejpam-3403	2	16	–	–	PUNCT
ejpam-3403	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3403	2	18	published	publish	VERB
ejpam-3403	2	19	by	by	ADP
ejpam-3403	2	20	new	new	PROPN
ejpam-3403	2	21	york	york	PROPN
ejpam-3403	2	22	business	business	PROPN
ejpam-3403	2	23	global	global	ADJ
ejpam-3403	2	24	combinatorial	combinatorial	ADJ
ejpam-3403	2	25	identities	identity	NOUN
ejpam-3403	2	26	with	with	ADP
ejpam-3403	2	27	generalized	generalized	ADJ
ejpam-3403	2	28	higher	high	ADJ
ejpam-3403	2	29	-	-	PUNCT
ejpam-3403	2	30	order	order	NOUN
ejpam-3403	2	31	genocchi	genocchi	PROPN
ejpam-3403	2	32	sequences	sequence	VERB
ejpam-3403	2	33	tian	tian	ADJ
ejpam-3403	2	34	hao1,∗	hao1,∗	PROPN
ejpam-3403	2	35	,	,	PUNCT
ejpam-3403	2	36	wuyungaowa1	wuyungaowa1	X
ejpam-3403	2	37	1	1	NUM
ejpam-3403	2	38	department	department	NOUN
ejpam-3403	2	39	of	of	ADP
ejpam-3403	2	40	mathematical	mathematical	ADJ
ejpam-3403	2	41	sciences	science	NOUN
ejpam-3403	2	42	,	,	PUNCT
ejpam-3403	2	43	inner	inner	PROPN
ejpam-3403	2	44	mongolia	mongolia	PROPN
ejpam-3403	2	45	university	university	PROPN
ejpam-3403	2	46	,	,	PUNCT
ejpam-3403	2	47	hohhot	hohhot	ADJ
ejpam-3403	2	48	,	,	PUNCT
ejpam-3403	2	49	inner	inner	ADJ
ejpam-3403	2	50	mongolia	mongolia	PROPN
ejpam-3403	2	51	,	,	PUNCT
ejpam-3403	2	52	p.r.china	p.r.china	ADJ
ejpam-3403	2	53	abstract	abstract	NOUN
ejpam-3403	2	54	.	.	PUNCT
ejpam-3403	3	1	in	in	ADP
ejpam-3403	3	2	this	this	DET
ejpam-3403	3	3	paper	paper	NOUN
ejpam-3403	3	4	,	,	PUNCT
ejpam-3403	3	5	we	we	PRON
ejpam-3403	3	6	make	make	VERB
ejpam-3403	3	7	use	use	NOUN
ejpam-3403	3	8	of	of	ADP
ejpam-3403	3	9	the	the	DET
ejpam-3403	3	10	probabilistic	probabilistic	ADJ
ejpam-3403	3	11	method	method	NOUN
ejpam-3403	3	12	to	to	PART
ejpam-3403	3	13	calculate	calculate	VERB
ejpam-3403	3	14	the	the	DET
ejpam-3403	3	15	moment	moment	NOUN
ejpam-3403	3	16	representation	representation	NOUN
ejpam-3403	3	17	of	of	ADP
ejpam-3403	3	18	generalized	generalized	ADJ
ejpam-3403	3	19	higher	high	ADJ
ejpam-3403	3	20	-	-	PUNCT
ejpam-3403	3	21	order	order	NOUN
ejpam-3403	3	22	genocchi	genocchi	NOUN
ejpam-3403	3	23	polynomials	polynomial	NOUN
ejpam-3403	3	24	.	.	PUNCT
ejpam-3403	4	1	we	we	PRON
ejpam-3403	4	2	obtain	obtain	VERB
ejpam-3403	4	3	the	the	DET
ejpam-3403	4	4	moment	moment	NOUN
ejpam-3403	4	5	expression	expression	NOUN
ejpam-3403	4	6	of	of	ADP
ejpam-3403	4	7	the	the	DET
ejpam-3403	4	8	generalized	generalized	ADJ
ejpam-3403	4	9	higher	high	ADJ
ejpam-3403	4	10	-	-	PUNCT
ejpam-3403	4	11	order	order	NOUN
ejpam-3403	4	12	genocchi	genocchi	NOUN
ejpam-3403	4	13	numbers	number	NOUN
ejpam-3403	4	14	with	with	ADP
ejpam-3403	4	15	a	a	DET
ejpam-3403	4	16	and	and	CCONJ
ejpam-3403	4	17	b	b	NOUN
ejpam-3403	4	18	parameters	parameter	NOUN
ejpam-3403	4	19	.	.	PUNCT
ejpam-3403	5	1	some	some	DET
ejpam-3403	5	2	characterizations	characterization	NOUN
ejpam-3403	5	3	and	and	CCONJ
ejpam-3403	5	4	identities	identity	NOUN
ejpam-3403	5	5	of	of	ADP
ejpam-3403	5	6	generalized	generalized	ADJ
ejpam-3403	5	7	higher	high	ADJ
ejpam-3403	5	8	-	-	PUNCT
ejpam-3403	5	9	order	order	NOUN
ejpam-3403	5	10	genocchi	genocchi	NOUN
ejpam-3403	5	11	polynomials	polynomial	NOUN
ejpam-3403	5	12	are	be	AUX
ejpam-3403	5	13	given	give	VERB
ejpam-3403	5	14	by	by	ADP
ejpam-3403	5	15	the	the	DET
ejpam-3403	5	16	proof	proof	NOUN
ejpam-3403	5	17	of	of	ADP
ejpam-3403	5	18	the	the	DET
ejpam-3403	5	19	moment	moment	NOUN
ejpam-3403	5	20	expression	expression	NOUN
ejpam-3403	5	21	.	.	PUNCT
ejpam-3403	6	1	as	as	ADV
ejpam-3403	6	2	far	far	ADV
ejpam-3403	6	3	as	as	SCONJ
ejpam-3403	6	4	properties	property	NOUN
ejpam-3403	6	5	given	give	VERB
ejpam-3403	6	6	by	by	ADP
ejpam-3403	6	7	predecessors	predecessor	NOUN
ejpam-3403	6	8	are	be	AUX
ejpam-3403	6	9	concerned	concern	VERB
ejpam-3403	6	10	,	,	PUNCT
ejpam-3403	6	11	we	we	PRON
ejpam-3403	6	12	prove	prove	VERB
ejpam-3403	6	13	them	they	PRON
ejpam-3403	6	14	by	by	ADP
ejpam-3403	6	15	the	the	DET
ejpam-3403	6	16	probabilistic	probabilistic	ADJ
ejpam-3403	6	17	method	method	NOUN
ejpam-3403	6	18	.	.	PUNCT
ejpam-3403	7	1	finally	finally	ADV
ejpam-3403	7	2	,	,	PUNCT
ejpam-3403	7	3	new	new	ADJ
ejpam-3403	7	4	identities	identity	NOUN
ejpam-3403	7	5	of	of	ADP
ejpam-3403	7	6	relationships	relationship	NOUN
ejpam-3403	7	7	involving	involve	VERB
ejpam-3403	7	8	generalized	generalized	ADJ
ejpam-3403	7	9	higher	high	ADJ
ejpam-3403	7	10	-	-	PUNCT
ejpam-3403	7	11	order	order	NOUN
ejpam-3403	7	12	genocchi	genocchi	NOUN
ejpam-3403	7	13	numbers	number	NOUN
ejpam-3403	7	14	and	and	CCONJ
ejpam-3403	7	15	harmonic	harmonic	ADJ
ejpam-3403	7	16	numbers	number	NOUN
ejpam-3403	7	17	,	,	PUNCT
ejpam-3403	7	18	derangement	derangement	NOUN
ejpam-3403	7	19	numbers	number	NOUN
ejpam-3403	7	20	,	,	PUNCT
ejpam-3403	7	21	fibonacci	fibonacci	NOUN
ejpam-3403	7	22	numbers	number	NOUN
ejpam-3403	7	23	,	,	PUNCT
ejpam-3403	7	24	bell	bell	NOUN
ejpam-3403	7	25	numbers	number	NOUN
ejpam-3403	7	26	,	,	PUNCT
ejpam-3403	7	27	bernoulli	bernoulli	NOUN
ejpam-3403	7	28	numbers	number	NOUN
ejpam-3403	7	29	,	,	PUNCT
ejpam-3403	7	30	euler	euler	NOUN
ejpam-3403	7	31	numbers	number	NOUN
ejpam-3403	7	32	,	,	PUNCT
ejpam-3403	7	33	cauchy	cauchy	ADJ
ejpam-3403	7	34	numbers	number	NOUN
ejpam-3403	7	35	and	and	CCONJ
ejpam-3403	7	36	stirling	stirling	NOUN
ejpam-3403	7	37	numbers	number	NOUN
ejpam-3403	7	38	of	of	ADP
ejpam-3403	7	39	the	the	DET
ejpam-3403	7	40	second	second	ADJ
ejpam-3403	7	41	kind	kind	NOUN
ejpam-3403	7	42	are	be	AUX
ejpam-3403	7	43	established	establish	VERB
ejpam-3403	7	44	.	.	PUNCT
ejpam-3403	8	1	2010	2010	NUM
ejpam-3403	8	2	mathematics	mathematic	NOUN
ejpam-3403	8	3	subject	subject	NOUN
ejpam-3403	8	4	classifications	classification	NOUN
ejpam-3403	8	5	:	:	PUNCT
ejpam-3403	8	6	11b68	11b68	NUM
ejpam-3403	8	7	,	,	PUNCT
ejpam-3403	8	8	60e07	60e07	NUM
ejpam-3403	8	9	,	,	PUNCT
ejpam-3403	8	10	11b83	11b83	NUM
ejpam-3403	8	11	,	,	PUNCT
ejpam-3403	8	12	62e15	62e15	NUM
ejpam-3403	8	13	.	.	PUNCT
ejpam-3403	9	1	key	key	ADJ
ejpam-3403	9	2	words	word	NOUN
ejpam-3403	9	3	and	and	CCONJ
ejpam-3403	9	4	phrases	phrase	NOUN
ejpam-3403	9	5	:	:	PUNCT
ejpam-3403	9	6	moment	moment	NOUN
ejpam-3403	9	7	,	,	PUNCT
ejpam-3403	9	8	generating	generate	VERB
ejpam-3403	9	9	function	function	NOUN
ejpam-3403	9	10	,	,	PUNCT
ejpam-3403	9	11	generalized	generalize	VERB
ejpam-3403	9	12	higher	high	ADJ
ejpam-3403	9	13	-	-	PUNCT
ejpam-3403	9	14	order	order	NOUN
ejpam-3403	9	15	genocchi	genocchi	NOUN
ejpam-3403	9	16	numbers	number	NOUN
ejpam-3403	9	17	and	and	CCONJ
ejpam-3403	9	18	polynomials	polynomial	NOUN
ejpam-3403	9	19	,	,	PUNCT
ejpam-3403	9	20	laplace	laplace	NOUN
ejpam-3403	9	21	distribution	distribution	NOUN
ejpam-3403	9	22	.	.	PUNCT
ejpam-3403	10	1	1	1	X
ejpam-3403	10	2	.	.	X
ejpam-3403	10	3	introduction	introduction	NOUN
ejpam-3403	10	4	and	and	CCONJ
ejpam-3403	10	5	preliminaries	preliminary	NOUN
ejpam-3403	10	6	the	the	DET
ejpam-3403	10	7	classical	classical	ADJ
ejpam-3403	10	8	genocchi	genocchi	NOUN
ejpam-3403	10	9	numbers	number	NOUN
ejpam-3403	10	10	and	and	CCONJ
ejpam-3403	10	11	polynomials	polynomial	NOUN
ejpam-3403	10	12	play	play	VERB
ejpam-3403	10	13	important	important	ADJ
ejpam-3403	10	14	roles	role	NOUN
ejpam-3403	10	15	in	in	ADP
ejpam-3403	10	16	combinatorics	combinatoric	NOUN
ejpam-3403	10	17	.	.	PUNCT
ejpam-3403	11	1	it	it	PRON
ejpam-3403	11	2	is	be	AUX
ejpam-3403	11	3	widely	widely	ADV
ejpam-3403	11	4	used	use	VERB
ejpam-3403	11	5	in	in	ADP
ejpam-3403	11	6	combinatorial	combinatorial	ADJ
ejpam-3403	11	7	mathematics	mathematic	NOUN
ejpam-3403	11	8	,	,	PUNCT
ejpam-3403	11	9	function	function	NOUN
ejpam-3403	11	10	theory	theory	NOUN
ejpam-3403	11	11	,	,	PUNCT
ejpam-3403	11	12	graph	graph	NOUN
ejpam-3403	11	13	theory	theory	NOUN
ejpam-3403	11	14	,	,	PUNCT
ejpam-3403	11	15	approximate	approximate	ADJ
ejpam-3403	11	16	calculation	calculation	NOUN
ejpam-3403	11	17	and	and	CCONJ
ejpam-3403	11	18	theoretical	theoretical	ADJ
ejpam-3403	11	19	physics	physics	NOUN
ejpam-3403	11	20	,	,	PUNCT
ejpam-3403	11	21	such	such	ADJ
ejpam-3403	11	22	as	as	ADP
ejpam-3403	11	23	the	the	DET
ejpam-3403	11	24	diffusion	diffusion	NOUN
ejpam-3403	11	25	of	of	ADP
ejpam-3403	11	26	matter	matter	NOUN
ejpam-3403	11	27	.	.	PUNCT
ejpam-3403	12	1	in	in	ADP
ejpam-3403	12	2	the	the	DET
ejpam-3403	12	3	present	present	ADJ
ejpam-3403	12	4	paper	paper	NOUN
ejpam-3403	12	5	,	,	PUNCT
ejpam-3403	12	6	a	a	DET
ejpam-3403	12	7	further	further	ADJ
ejpam-3403	12	8	investigation	investigation	NOUN
ejpam-3403	12	9	for	for	ADP
ejpam-3403	12	10	the	the	DET
ejpam-3403	12	11	generalized	generalize	VERB
ejpam-3403	12	12	higher	high	ADJ
ejpam-3403	12	13	-	-	PUNCT
ejpam-3403	12	14	order	order	NOUN
ejpam-3403	12	15	genocchi	genocchi	NOUN
ejpam-3403	12	16	polynomials	polynomial	VERB
ejpam-3403	12	17	with	with	ADP
ejpam-3403	12	18	a	a	DET
ejpam-3403	12	19	,	,	PUNCT
ejpam-3403	12	20	b	b	NOUN
ejpam-3403	12	21	and	and	CCONJ
ejpam-3403	12	22	c	c	PROPN
ejpam-3403	12	23	parameters	parameter	NOUN
ejpam-3403	12	24	is	be	AUX
ejpam-3403	12	25	performed	perform	VERB
ejpam-3403	12	26	.	.	PUNCT
ejpam-3403	13	1	we	we	PRON
ejpam-3403	13	2	depend	depend	VERB
ejpam-3403	13	3	on	on	ADP
ejpam-3403	13	4	the	the	DET
ejpam-3403	13	5	laplace	laplace	NOUN
ejpam-3403	13	6	distribution	distribution	NOUN
ejpam-3403	13	7	to	to	PART
ejpam-3403	13	8	calculate	calculate	VERB
ejpam-3403	13	9	the	the	DET
ejpam-3403	13	10	moment	moment	NOUN
ejpam-3403	13	11	representation	representation	NOUN
ejpam-3403	13	12	of	of	ADP
ejpam-3403	13	13	the	the	DET
ejpam-3403	13	14	generalized	generalized	ADJ
ejpam-3403	13	15	higher	high	ADJ
ejpam-3403	13	16	-	-	PUNCT
ejpam-3403	13	17	order	order	NOUN
ejpam-3403	13	18	genocchi	genocchi	NOUN
ejpam-3403	13	19	polynomials	polynomial	NOUN
ejpam-3403	13	20	.	.	PUNCT
ejpam-3403	14	1	hence	hence	ADV
ejpam-3403	14	2	the	the	DET
ejpam-3403	14	3	moment	moment	NOUN
ejpam-3403	14	4	representation	representation	NOUN
ejpam-3403	14	5	can	can	AUX
ejpam-3403	14	6	also	also	ADV
ejpam-3403	14	7	be	be	AUX
ejpam-3403	14	8	used	use	VERB
ejpam-3403	14	9	to	to	PART
ejpam-3403	14	10	give	give	VERB
ejpam-3403	14	11	some	some	DET
ejpam-3403	14	12	relative	relative	ADJ
ejpam-3403	14	13	identities	identity	NOUN
ejpam-3403	14	14	and	and	CCONJ
ejpam-3403	14	15	characterizations	characterization	NOUN
ejpam-3403	14	16	of	of	ADP
ejpam-3403	14	17	the	the	DET
ejpam-3403	14	18	generalized	generalized	ADJ
ejpam-3403	14	19	higher	high	ADJ
ejpam-3403	14	20	-	-	PUNCT
ejpam-3403	14	21	order	order	NOUN
ejpam-3403	14	22	genocchi	genocchi	NOUN
ejpam-3403	14	23	polynomials	polynomial	NOUN
ejpam-3403	14	24	.	.	PUNCT
ejpam-3403	15	1	recently	recently	ADV
ejpam-3403	15	2	,	,	PUNCT
ejpam-3403	15	3	symmetry	symmetry	NOUN
ejpam-3403	15	4	identities	identity	NOUN
ejpam-3403	15	5	of	of	ADP
ejpam-3403	15	6	the	the	DET
ejpam-3403	15	7	generalized	generalized	ADJ
ejpam-3403	15	8	bernoulli	bernoulli	PROPN
ejpam-3403	15	9	,	,	PUNCT
ejpam-3403	15	10	euler	euler	VERB
ejpam-3403	15	11	and	and	CCONJ
ejpam-3403	15	12	genocchi	genocchi	PROPN
ejpam-3403	15	13	polynomials	polynomial	NOUN
ejpam-3403	15	14	are	be	AUX
ejpam-3403	15	15	investigated	investigate	VERB
ejpam-3403	15	16	by	by	ADP
ejpam-3403	15	17	waseem	waseem	PROPN
ejpam-3403	15	18	a.	a.	PROPN
ejpam-3403	15	19	khan	khan	PROPN
ejpam-3403	15	20	and	and	CCONJ
ejpam-3403	15	21	other	other	ADJ
ejpam-3403	15	22	predecessors[6][7][8][9	predecessors[6][7][8][9	NOUN
ejpam-3403	15	23	]	]	PUNCT
ejpam-3403	15	24	.	.	PUNCT
ejpam-3403	16	1	here	here	ADV
ejpam-3403	16	2	the	the	DET
ejpam-3403	16	3	probabilistic	probabilistic	ADJ
ejpam-3403	16	4	method	method	NOUN
ejpam-3403	16	5	provides	provide	VERB
ejpam-3403	16	6	great	great	ADJ
ejpam-3403	16	7	convenience	convenience	NOUN
ejpam-3403	16	8	to	to	PART
ejpam-3403	16	9	investigate	investigate	VERB
ejpam-3403	16	10	symmetry	symmetry	NOUN
ejpam-3403	16	11	identities	identity	NOUN
ejpam-3403	16	12	of	of	ADP
ejpam-3403	16	13	the	the	DET
ejpam-3403	16	14	generalized	generalize	VERB
ejpam-3403	16	15	genocchi	genocchi	NOUN
ejpam-3403	16	16	polynomials	polynomial	NOUN
ejpam-3403	16	17	∗corresponding	∗corresponde	VERB
ejpam-3403	16	18	author	author	NOUN
ejpam-3403	16	19	.	.	PUNCT
ejpam-3403	17	1	doi	doi	NOUN
ejpam-3403	17	2	:	:	PUNCT
ejpam-3403	17	3	https://doi.org/10.29020/nybg.ejpam.v12i2.3403	https://doi.org/10.29020/nybg.ejpam.v12i2.3403	VERB
ejpam-3403	17	4	email	email	NOUN
ejpam-3403	17	5	addresses	address	NOUN
ejpam-3403	17	6	:	:	PUNCT
ejpam-3403	17	7	1179827028@qq.com	1179827028@qq.com	NUM
ejpam-3403	17	8	(	(	PUNCT
ejpam-3403	17	9	t.	t.	PROPN
ejpam-3403	17	10	hao	hao	PROPN
ejpam-3403	17	11	)	)	PUNCT
ejpam-3403	17	12	,	,	PUNCT
ejpam-3403	18	1	wuyungw@163.com	wuyungw@163.com	PROPN
ejpam-3403	18	2	(	(	PUNCT
ejpam-3403	18	3	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	18	4	)	)	PUNCT
ejpam-3403	18	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3403	19	1	605	605	NUM
ejpam-3403	19	2	c	c	NOUN
ejpam-3403	19	3	©	©	PROPN
ejpam-3403	19	4	2019	2019	NUM
ejpam-3403	19	5	ejpam	ejpam	NOUN
ejpam-3403	19	6	all	all	DET
ejpam-3403	19	7	rights	right	NOUN
ejpam-3403	19	8	reserved	reserve	VERB
ejpam-3403	19	9	.	.	PUNCT
ejpam-3403	20	1	t.	t.	PROPN
ejpam-3403	20	2	hao	hao	PROPN
ejpam-3403	20	3	,	,	PUNCT
ejpam-3403	20	4	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	20	5	/	/	SYM
ejpam-3403	20	6	eur	eur	PROPN
ejpam-3403	20	7	.	.	PUNCT
ejpam-3403	21	1	j.	j.	PROPN
ejpam-3403	21	2	pure	pure	PROPN
ejpam-3403	21	3	appl	appl	PROPN
ejpam-3403	21	4	.	.	PROPN
ejpam-3403	21	5	math	math	PROPN
ejpam-3403	21	6	,	,	PUNCT
ejpam-3403	21	7	12	12	NUM
ejpam-3403	21	8	(	(	PUNCT
ejpam-3403	21	9	2	2	NUM
ejpam-3403	21	10	)	)	PUNCT
ejpam-3403	21	11	(	(	PUNCT
ejpam-3403	21	12	2019	2019	NUM
ejpam-3403	21	13	)	)	PUNCT
ejpam-3403	21	14	,	,	PUNCT
ejpam-3403	21	15	605	605	NUM
ejpam-3403	21	16	-	-	SYM
ejpam-3403	21	17	621	621	NUM
ejpam-3403	21	18	606	606	NUM
ejpam-3403	21	19	and	and	CCONJ
ejpam-3403	21	20	relations	relation	NOUN
ejpam-3403	21	21	between	between	ADP
ejpam-3403	21	22	the	the	DET
ejpam-3403	21	23	generalized	generalize	VERB
ejpam-3403	21	24	higher	high	ADJ
ejpam-3403	21	25	-	-	PUNCT
ejpam-3403	21	26	order	order	NOUN
ejpam-3403	21	27	genocchi	genocchi	NOUN
ejpam-3403	21	28	numbers	number	NOUN
ejpam-3403	21	29	and	and	CCONJ
ejpam-3403	21	30	combinatorial	combinatorial	ADJ
ejpam-3403	21	31	numbers	number	NOUN
ejpam-3403	21	32	.	.	PUNCT
ejpam-3403	22	1	throughout	throughout	ADP
ejpam-3403	22	2	this	this	DET
ejpam-3403	22	3	paper	paper	NOUN
ejpam-3403	22	4	,	,	PUNCT
ejpam-3403	22	5	let	let	VERB
ejpam-3403	22	6	t	t	PROPN
ejpam-3403	22	7	∈	∈	PROPN
ejpam-3403	22	8	c	c	PROPN
ejpam-3403	23	1	and	and	CCONJ
ejpam-3403	23	2	|	|	ADV
ejpam-3403	23	3	t	t	X
ejpam-3403	23	4	|<π/|lnb−	|<π/|lnb−	PROPN
ejpam-3403	23	5	lna|	lna|	PROPN
ejpam-3403	23	6	,	,	PUNCT
ejpam-3403	23	7	α	α	PROPN
ejpam-3403	23	8	∈	∈	PROPN
ejpam-3403	23	9	n+	n+	PROPN
ejpam-3403	23	10	,	,	PUNCT
ejpam-3403	23	11	x	x	PUNCT
ejpam-3403	23	12	∈	∈	PROPN
ejpam-3403	23	13	r	r	NOUN
ejpam-3403	23	14	,	,	PUNCT
ejpam-3403	23	15	a	a	DET
ejpam-3403	23	16	,	,	PUNCT
ejpam-3403	23	17	b	b	NOUN
ejpam-3403	23	18	and	and	CCONJ
ejpam-3403	23	19	c	c	PROPN
ejpam-3403	23	20	are	be	AUX
ejpam-3403	23	21	positive	positive	ADJ
ejpam-3403	23	22	integers	integer	NOUN
ejpam-3403	23	23	,	,	PUNCT
ejpam-3403	23	24	a	a	DET
ejpam-3403	23	25	6=	6=	PROPN
ejpam-3403	23	26	b	b	NOUN
ejpam-3403	23	27	,	,	PUNCT
ejpam-3403	23	28	we	we	PRON
ejpam-3403	23	29	now	now	ADV
ejpam-3403	23	30	turn	turn	VERB
ejpam-3403	23	31	to	to	ADP
ejpam-3403	23	32	the	the	DET
ejpam-3403	23	33	generalized	generalized	ADJ
ejpam-3403	23	34	higher	high	ADJ
ejpam-3403	23	35	-	-	PUNCT
ejpam-3403	23	36	order	order	NOUN
ejpam-3403	23	37	genocchi	genocchi	NOUN
ejpam-3403	23	38	polynomials	polynomial	VERB
ejpam-3403	23	39	g	g	PROPN
ejpam-3403	23	40	(	(	PUNCT
ejpam-3403	23	41	α	α	NOUN
ejpam-3403	23	42	)	)	PUNCT
ejpam-3403	23	43	n	n	PROPN
ejpam-3403	23	44	(	(	PUNCT
ejpam-3403	23	45	x	x	X
ejpam-3403	23	46	;	;	PUNCT
ejpam-3403	23	47	a	a	DET
ejpam-3403	23	48	,	,	PUNCT
ejpam-3403	23	49	b	b	NOUN
ejpam-3403	23	50	,	,	PUNCT
ejpam-3403	23	51	c	c	NOUN
ejpam-3403	23	52	)	)	PUNCT
ejpam-3403	23	53	with	with	ADP
ejpam-3403	23	54	a	a	DET
ejpam-3403	23	55	,	,	PUNCT
ejpam-3403	23	56	b	b	NOUN
ejpam-3403	23	57	and	and	CCONJ
ejpam-3403	23	58	c	c	PROPN
ejpam-3403	23	59	parameters	parameter	NOUN
ejpam-3403	23	60	for	for	ADP
ejpam-3403	23	61	nonnegative	nonnegative	ADJ
ejpam-3403	23	62	integer	integer	NOUN
ejpam-3403	23	63	n	n	CCONJ
ejpam-3403	23	64	,	,	PUNCT
ejpam-3403	23	65	which	which	PRON
ejpam-3403	23	66	are	be	AUX
ejpam-3403	23	67	usually	usually	ADV
ejpam-3403	23	68	defined	define	VERB
ejpam-3403	23	69	by	by	ADP
ejpam-3403	23	70	means	mean	NOUN
ejpam-3403	23	71	of	of	ADP
ejpam-3403	23	72	the	the	DET
ejpam-3403	23	73	following	follow	VERB
ejpam-3403	23	74	generating	generate	VERB
ejpam-3403	23	75	function[2][4	function[2][4	PROPN
ejpam-3403	23	76	,	,	PUNCT
ejpam-3403	23	77	5	5	NUM
ejpam-3403	23	78	]	]	NUM
ejpam-3403	23	79	:	:	PUNCT
ejpam-3403	23	80	(	(	PUNCT
ejpam-3403	23	81	2	2	NUM
ejpam-3403	23	82	t	t	NOUN
ejpam-3403	23	83	at	at	ADP
ejpam-3403	23	84	+	+	CCONJ
ejpam-3403	23	85	bt	bt	ADJ
ejpam-3403	23	86	)	)	PUNCT
ejpam-3403	23	87	αcxt	αcxt	NOUN
ejpam-3403	23	88	=	=	PUNCT
ejpam-3403	24	1	∞∑	∞∑	PROPN
ejpam-3403	24	2	n=0	n=0	NUM
ejpam-3403	24	3	g(α	g(α	PROPN
ejpam-3403	24	4	)	)	PUNCT
ejpam-3403	24	5	n	n	CCONJ
ejpam-3403	24	6	(	(	PUNCT
ejpam-3403	24	7	x	x	X
ejpam-3403	24	8	;	;	PUNCT
ejpam-3403	24	9	a	a	DET
ejpam-3403	24	10	,	,	PUNCT
ejpam-3403	24	11	b	b	NOUN
ejpam-3403	24	12	,	,	PUNCT
ejpam-3403	24	13	c	c	NOUN
ejpam-3403	24	14	)	)	PUNCT
ejpam-3403	24	15	tn	tn	PROPN
ejpam-3403	24	16	n	n	NUM
ejpam-3403	24	17	!	!	PUNCT
ejpam-3403	24	18	.	.	PUNCT
ejpam-3403	25	1	(	(	PUNCT
ejpam-3403	25	2	1	1	X
ejpam-3403	25	3	)	)	PUNCT
ejpam-3403	25	4	taking	take	VERB
ejpam-3403	25	5	x	x	PUNCT
ejpam-3403	25	6	=	=	PUNCT
ejpam-3403	25	7	0	0	NUM
ejpam-3403	25	8	in	in	ADP
ejpam-3403	25	9	eq.(1	eq.(1	ADJ
ejpam-3403	25	10	)	)	PUNCT
ejpam-3403	25	11	,	,	PUNCT
ejpam-3403	25	12	we	we	PRON
ejpam-3403	25	13	get	get	VERB
ejpam-3403	25	14	the	the	DET
ejpam-3403	25	15	generating	generate	VERB
ejpam-3403	25	16	function	function	NOUN
ejpam-3403	25	17	of	of	ADP
ejpam-3403	25	18	the	the	DET
ejpam-3403	25	19	generalized	generalized	ADJ
ejpam-3403	25	20	higher	high	ADJ
ejpam-3403	25	21	-	-	PUNCT
ejpam-3403	25	22	order	order	NOUN
ejpam-3403	25	23	genocchi	genocchi	NOUN
ejpam-3403	25	24	numbers	number	VERB
ejpam-3403	25	25	g	g	PROPN
ejpam-3403	25	26	(	(	PUNCT
ejpam-3403	25	27	α	α	NOUN
ejpam-3403	25	28	)	)	PUNCT
ejpam-3403	25	29	n	n	CCONJ
ejpam-3403	25	30	(	(	PUNCT
ejpam-3403	25	31	a	a	DET
ejpam-3403	25	32	,	,	PUNCT
ejpam-3403	25	33	b	b	NOUN
ejpam-3403	25	34	)	)	PUNCT
ejpam-3403	25	35	with	with	ADP
ejpam-3403	25	36	a	a	DET
ejpam-3403	25	37	and	and	CCONJ
ejpam-3403	25	38	b	b	NOUN
ejpam-3403	25	39	parameters[4	parameters[4	PROPN
ejpam-3403	25	40	]	]	X
ejpam-3403	25	41	:	:	PUNCT
ejpam-3403	25	42	(	(	PUNCT
ejpam-3403	25	43	2	2	NUM
ejpam-3403	25	44	t	t	NOUN
ejpam-3403	25	45	at	at	ADP
ejpam-3403	25	46	+	+	CCONJ
ejpam-3403	25	47	bt	bt	NOUN
ejpam-3403	25	48	)	)	PUNCT
ejpam-3403	25	49	α	α	NOUN
ejpam-3403	25	50	=	=	PUNCT
ejpam-3403	26	1	∞∑	∞∑	NUM
ejpam-3403	26	2	n=0	n=0	NUM
ejpam-3403	26	3	g(α	g(α	PROPN
ejpam-3403	26	4	)	)	PUNCT
ejpam-3403	26	5	n	n	CCONJ
ejpam-3403	26	6	(	(	PUNCT
ejpam-3403	26	7	a	a	PRON
ejpam-3403	26	8	,	,	PUNCT
ejpam-3403	26	9	b	b	NOUN
ejpam-3403	26	10	)	)	PUNCT
ejpam-3403	26	11	tn	tn	PROPN
ejpam-3403	26	12	n	n	NUM
ejpam-3403	26	13	!	!	PUNCT
ejpam-3403	26	14	.	.	PUNCT
ejpam-3403	27	1	(	(	PUNCT
ejpam-3403	27	2	2	2	X
ejpam-3403	27	3	)	)	PUNCT
ejpam-3403	27	4	setting	set	VERB
ejpam-3403	27	5	a	a	DET
ejpam-3403	27	6	=	=	SYM
ejpam-3403	27	7	1	1	NUM
ejpam-3403	27	8	,	,	PUNCT
ejpam-3403	27	9	b	b	NOUN
ejpam-3403	27	10	=	=	SYM
ejpam-3403	27	11	e	e	NOUN
ejpam-3403	27	12	,	,	PUNCT
ejpam-3403	27	13	c	c	X
ejpam-3403	27	14	=	=	SYM
ejpam-3403	27	15	e	e	PROPN
ejpam-3403	27	16	in	in	ADP
ejpam-3403	27	17	eq.(1	eq.(1	ADJ
ejpam-3403	27	18	)	)	PUNCT
ejpam-3403	27	19	,	,	PUNCT
ejpam-3403	27	20	the	the	DET
ejpam-3403	27	21	generating	generate	VERB
ejpam-3403	27	22	function	function	NOUN
ejpam-3403	27	23	of	of	ADP
ejpam-3403	27	24	the	the	DET
ejpam-3403	27	25	classical	classical	ADJ
ejpam-3403	27	26	higherorder	higherorder	NOUN
ejpam-3403	27	27	genocchi	genocchi	NOUN
ejpam-3403	27	28	polynomials	polynomial	NOUN
ejpam-3403	27	29	is	be	AUX
ejpam-3403	27	30	as	as	ADP
ejpam-3403	27	31	follows[3][5][9][12	follows[3][5][9][12	PROPN
ejpam-3403	27	32	]	]	X
ejpam-3403	27	33	:	:	PUNCT
ejpam-3403	27	34	(	(	PUNCT
ejpam-3403	27	35	2	2	NUM
ejpam-3403	27	36	t	t	NOUN
ejpam-3403	27	37	et	et	NOUN
ejpam-3403	27	38	+	+	CCONJ
ejpam-3403	27	39	1	1	X
ejpam-3403	27	40	)	)	PUNCT
ejpam-3403	27	41	αext	αext	NOUN
ejpam-3403	27	42	=	=	PUNCT
ejpam-3403	28	1	∞∑	∞∑	PRON
ejpam-3403	28	2	n=0	n=0	NUM
ejpam-3403	28	3	g(α	g(α	PROPN
ejpam-3403	28	4	)	)	PUNCT
ejpam-3403	28	5	n	n	CCONJ
ejpam-3403	28	6	(	(	PUNCT
ejpam-3403	28	7	x	x	X
ejpam-3403	28	8	)	)	PUNCT
ejpam-3403	28	9	tn	tn	PROPN
ejpam-3403	28	10	n	n	CCONJ
ejpam-3403	28	11	!	!	PROPN
ejpam-3403	28	12	,	,	PUNCT
ejpam-3403	28	13	(	(	PUNCT
ejpam-3403	28	14	3	3	X
ejpam-3403	28	15	)	)	PUNCT
ejpam-3403	28	16	then	then	ADV
ejpam-3403	28	17	setting	set	VERB
ejpam-3403	28	18	x	x	PUNCT
ejpam-3403	28	19	=	=	SYM
ejpam-3403	28	20	0	0	NUM
ejpam-3403	28	21	in	in	ADP
ejpam-3403	28	22	eq.(3	eq.(3	NOUN
ejpam-3403	28	23	)	)	PUNCT
ejpam-3403	28	24	,	,	PUNCT
ejpam-3403	28	25	we	we	PRON
ejpam-3403	28	26	get	get	VERB
ejpam-3403	28	27	the	the	DET
ejpam-3403	28	28	generating	generate	VERB
ejpam-3403	28	29	function	function	NOUN
ejpam-3403	28	30	of	of	ADP
ejpam-3403	28	31	the	the	DET
ejpam-3403	28	32	classical	classical	ADJ
ejpam-3403	28	33	higher	high	ADJ
ejpam-3403	28	34	-	-	PUNCT
ejpam-3403	28	35	order	order	NOUN
ejpam-3403	28	36	genocchi	genocchi	PROPN
ejpam-3403	28	37	numbers[1][12	numbers[1][12	PROPN
ejpam-3403	28	38	]	]	X
ejpam-3403	28	39	:	:	PUNCT
ejpam-3403	28	40	(	(	PUNCT
ejpam-3403	28	41	2	2	NUM
ejpam-3403	28	42	t	t	NOUN
ejpam-3403	28	43	et	et	NOUN
ejpam-3403	29	1	+	+	CCONJ
ejpam-3403	29	2	1	1	X
ejpam-3403	29	3	)	)	PUNCT
ejpam-3403	29	4	α	α	NOUN
ejpam-3403	29	5	=	=	PUNCT
ejpam-3403	30	1	∞∑	∞∑	NUM
ejpam-3403	30	2	n=0	n=0	NUM
ejpam-3403	30	3	g(α	g(α	PROPN
ejpam-3403	30	4	)	)	PUNCT
ejpam-3403	30	5	n	n	PROPN
ejpam-3403	30	6	tn	tn	NOUN
ejpam-3403	30	7	n	n	X
ejpam-3403	30	8	!	!	PUNCT
ejpam-3403	30	9	.	.	PUNCT
ejpam-3403	31	1	(	(	PUNCT
ejpam-3403	31	2	4	4	X
ejpam-3403	31	3	)	)	PUNCT
ejpam-3403	31	4	in	in	ADP
ejpam-3403	31	5	this	this	DET
ejpam-3403	31	6	paper	paper	NOUN
ejpam-3403	31	7	,	,	PUNCT
ejpam-3403	31	8	we	we	PRON
ejpam-3403	31	9	make	make	VERB
ejpam-3403	31	10	use	use	NOUN
ejpam-3403	31	11	of	of	ADP
ejpam-3403	31	12	the	the	DET
ejpam-3403	31	13	special	special	ADJ
ejpam-3403	31	14	combinatorial	combinatorial	ADJ
ejpam-3403	31	15	sequences	sequence	NOUN
ejpam-3403	31	16	of	of	ADP
ejpam-3403	31	17	the	the	DET
ejpam-3403	31	18	generalized	generalize	VERB
ejpam-3403	31	19	euler	euler	NOUN
ejpam-3403	31	20	polynomials	polynomial	NOUN
ejpam-3403	31	21	en(x	en(x	ADP
ejpam-3403	31	22	;	;	PUNCT
ejpam-3403	31	23	a	a	DET
ejpam-3403	31	24	,	,	PUNCT
ejpam-3403	31	25	b	b	NOUN
ejpam-3403	31	26	,	,	PUNCT
ejpam-3403	31	27	c	c	NOUN
ejpam-3403	31	28	)	)	PUNCT
ejpam-3403	31	29	with	with	ADP
ejpam-3403	31	30	a	a	DET
ejpam-3403	31	31	,	,	PUNCT
ejpam-3403	31	32	b	b	PROPN
ejpam-3403	31	33	and	and	CCONJ
ejpam-3403	31	34	c	c	NOUN
ejpam-3403	31	35	,	,	PUNCT
ejpam-3403	31	36	which	which	PRON
ejpam-3403	31	37	are	be	AUX
ejpam-3403	31	38	defined	define	VERB
ejpam-3403	31	39	by	by	ADP
ejpam-3403	31	40	the	the	DET
ejpam-3403	31	41	following	follow	VERB
ejpam-3403	31	42	generating	generate	VERB
ejpam-3403	31	43	function[10][11	function[10][11	PROPN
ejpam-3403	31	44	]	]	NOUN
ejpam-3403	31	45	:	:	PUNCT
ejpam-3403	31	46	2cxt	2cxt	NUM
ejpam-3403	31	47	at	at	ADP
ejpam-3403	31	48	+	+	CCONJ
ejpam-3403	31	49	bt	bt	NOUN
ejpam-3403	31	50	=	=	PUNCT
ejpam-3403	31	51	∞∑	∞∑	PROPN
ejpam-3403	31	52	n=0	n=0	NUM
ejpam-3403	31	53	en(x	en(x	ADP
ejpam-3403	31	54	;	;	PUNCT
ejpam-3403	31	55	a	a	DET
ejpam-3403	31	56	,	,	PUNCT
ejpam-3403	31	57	b	b	NOUN
ejpam-3403	31	58	,	,	PUNCT
ejpam-3403	31	59	c	c	NOUN
ejpam-3403	31	60	)	)	PUNCT
ejpam-3403	31	61	tn	tn	PROPN
ejpam-3403	31	62	n	n	NUM
ejpam-3403	31	63	!	!	PUNCT
ejpam-3403	31	64	.	.	PUNCT
ejpam-3403	32	1	(	(	PUNCT
ejpam-3403	32	2	5	5	NUM
ejpam-3403	32	3	)	)	PUNCT
ejpam-3403	32	4	for	for	ADP
ejpam-3403	32	5	α	α	PRON
ejpam-3403	32	6	∈	∈	PROPN
ejpam-3403	32	7	n+	n+	PROPN
ejpam-3403	32	8	,	,	PUNCT
ejpam-3403	32	9	we	we	PRON
ejpam-3403	32	10	get	get	VERB
ejpam-3403	32	11	the	the	DET
ejpam-3403	32	12	generalized	generalized	ADJ
ejpam-3403	32	13	higher	high	ADJ
ejpam-3403	32	14	-	-	PUNCT
ejpam-3403	32	15	order	order	NOUN
ejpam-3403	32	16	euler	euler	NOUN
ejpam-3403	32	17	polynomials	polynomial	NOUN
ejpam-3403	32	18	e	e	X
ejpam-3403	32	19	(	(	PUNCT
ejpam-3403	32	20	α	α	NOUN
ejpam-3403	32	21	)	)	PUNCT
ejpam-3403	32	22	n	n	PROPN
ejpam-3403	32	23	(	(	PUNCT
ejpam-3403	32	24	x	x	X
ejpam-3403	32	25	;	;	PUNCT
ejpam-3403	32	26	a	a	DET
ejpam-3403	32	27	,	,	PUNCT
ejpam-3403	32	28	b	b	NOUN
ejpam-3403	32	29	,	,	PUNCT
ejpam-3403	32	30	c	c	NOUN
ejpam-3403	32	31	)	)	PUNCT
ejpam-3403	32	32	with	with	ADP
ejpam-3403	32	33	a	a	DET
ejpam-3403	32	34	,	,	PUNCT
ejpam-3403	32	35	b	b	NOUN
ejpam-3403	32	36	and	and	CCONJ
ejpam-3403	32	37	c[11	c[11	PROPN
ejpam-3403	32	38	]	]	X
ejpam-3403	32	39	:	:	PUNCT
ejpam-3403	32	40	(	(	PUNCT
ejpam-3403	32	41	2	2	X
ejpam-3403	32	42	at	at	ADP
ejpam-3403	32	43	+	+	CCONJ
ejpam-3403	32	44	bt	bt	NOUN
ejpam-3403	32	45	)	)	PUNCT
ejpam-3403	32	46	αcxt	αcxt	NOUN
ejpam-3403	32	47	=	=	PUNCT
ejpam-3403	33	1	∞∑	∞∑	ADJ
ejpam-3403	33	2	n=0	n=0	NUM
ejpam-3403	33	3	e(α	e(α	NOUN
ejpam-3403	33	4	)	)	PUNCT
ejpam-3403	33	5	n	n	CCONJ
ejpam-3403	33	6	(	(	PUNCT
ejpam-3403	33	7	x	x	X
ejpam-3403	33	8	;	;	PUNCT
ejpam-3403	33	9	a	a	DET
ejpam-3403	33	10	,	,	PUNCT
ejpam-3403	33	11	b	b	NOUN
ejpam-3403	33	12	,	,	PUNCT
ejpam-3403	33	13	c	c	NOUN
ejpam-3403	33	14	)	)	PUNCT
ejpam-3403	33	15	tn	tn	PROPN
ejpam-3403	33	16	n	n	NUM
ejpam-3403	33	17	!	!	PUNCT
ejpam-3403	33	18	.	.	PUNCT
ejpam-3403	34	1	(	(	PUNCT
ejpam-3403	34	2	6	6	X
ejpam-3403	34	3	)	)	PUNCT
ejpam-3403	34	4	we	we	PRON
ejpam-3403	34	5	also	also	ADV
ejpam-3403	34	6	need	need	VERB
ejpam-3403	34	7	the	the	DET
ejpam-3403	34	8	following	follow	VERB
ejpam-3403	34	9	notations	notation	NOUN
ejpam-3403	34	10	:	:	PUNCT
ejpam-3403	34	11	r.v	r.v	PROPN
ejpam-3403	34	12	denotes	denote	VERB
ejpam-3403	34	13	a	a	DET
ejpam-3403	34	14	random	random	ADJ
ejpam-3403	34	15	variable	variable	NOUN
ejpam-3403	34	16	,	,	PUNCT
ejpam-3403	34	17	i.i.d	i.i.d	PRON
ejpam-3403	34	18	shows	show	VERB
ejpam-3403	34	19	that	that	SCONJ
ejpam-3403	34	20	a	a	DET
ejpam-3403	34	21	sequence	sequence	NOUN
ejpam-3403	34	22	of	of	ADP
ejpam-3403	34	23	random	random	ADJ
ejpam-3403	34	24	variables	variable	NOUN
ejpam-3403	34	25	are	be	AUX
ejpam-3403	34	26	independent	independent	ADJ
ejpam-3403	34	27	and	and	CCONJ
ejpam-3403	34	28	identically	identically	ADV
ejpam-3403	34	29	distributed	distribute	VERB
ejpam-3403	34	30	.	.	PUNCT
ejpam-3403	35	1	the	the	DET
ejpam-3403	35	2	notation	notation	NOUN
ejpam-3403	35	3	e	e	NOUN
ejpam-3403	35	4	denotes	denote	VERB
ejpam-3403	35	5	an	an	DET
ejpam-3403	35	6	expectation	expectation	NOUN
ejpam-3403	35	7	operator	operator	NOUN
ejpam-3403	35	8	and	and	CCONJ
ejpam-3403	35	9	definition	definition	NOUN
ejpam-3403	35	10	is	be	AUX
ejpam-3403	35	11	as	as	SCONJ
ejpam-3403	35	12	follows	follow	VERB
ejpam-3403	35	13	:	:	PUNCT
ejpam-3403	35	14	when	when	SCONJ
ejpam-3403	35	15	f(x	f(x	PROPN
ejpam-3403	35	16	)	)	PUNCT
ejpam-3403	35	17	is	be	AUX
ejpam-3403	35	18	a	a	DET
ejpam-3403	35	19	measurable	measurable	ADJ
ejpam-3403	35	20	function	function	NOUN
ejpam-3403	35	21	with	with	ADP
ejpam-3403	35	22	continuous	continuous	ADJ
ejpam-3403	35	23	random	random	ADJ
ejpam-3403	35	24	variables	variable	NOUN
ejpam-3403	35	25	x	x	PUNCT
ejpam-3403	35	26	and	and	CCONJ
ejpam-3403	35	27	p(x	p(x	PROPN
ejpam-3403	35	28	)	)	PUNCT
ejpam-3403	35	29	is	be	AUX
ejpam-3403	35	30	a	a	DET
ejpam-3403	35	31	density	density	NOUN
ejpam-3403	35	32	function	function	NOUN
ejpam-3403	35	33	of	of	ADP
ejpam-3403	35	34	x	x	PRON
ejpam-3403	35	35	,	,	PUNCT
ejpam-3403	35	36	we	we	PRON
ejpam-3403	35	37	have	have	VERB
ejpam-3403	35	38	ef(x	ef(x	PUNCT
ejpam-3403	35	39	)	)	PUNCT
ejpam-3403	35	40	=	=	SYM
ejpam-3403	36	1	∫	∫	PROPN
ejpam-3403	37	1	+	+	NUM
ejpam-3403	37	2	∞	∞	PROPN
ejpam-3403	37	3	−∞	−∞	ADP
ejpam-3403	37	4	f(x)p(x)dx	f(x)p(x)dx	PROPN
ejpam-3403	37	5	.	.	PUNCT
ejpam-3403	38	1	t.	t.	PROPN
ejpam-3403	38	2	hao	hao	PROPN
ejpam-3403	38	3	,	,	PUNCT
ejpam-3403	38	4	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	38	5	/	/	SYM
ejpam-3403	38	6	eur	eur	PROPN
ejpam-3403	38	7	.	.	PUNCT
ejpam-3403	39	1	j.	j.	PROPN
ejpam-3403	39	2	pure	pure	PROPN
ejpam-3403	39	3	appl	appl	PROPN
ejpam-3403	39	4	.	.	PROPN
ejpam-3403	39	5	math	math	PROPN
ejpam-3403	39	6	,	,	PUNCT
ejpam-3403	39	7	12	12	NUM
ejpam-3403	39	8	(	(	PUNCT
ejpam-3403	39	9	2	2	NUM
ejpam-3403	39	10	)	)	PUNCT
ejpam-3403	39	11	(	(	PUNCT
ejpam-3403	39	12	2019	2019	NUM
ejpam-3403	39	13	)	)	PUNCT
ejpam-3403	39	14	,	,	PUNCT
ejpam-3403	39	15	605	605	NUM
ejpam-3403	39	16	-	-	SYM
ejpam-3403	39	17	621	621	NUM
ejpam-3403	39	18	607	607	NUM
ejpam-3403	39	19	especially	especially	ADV
ejpam-3403	39	20	,	,	PUNCT
ejpam-3403	39	21	setting	set	VERB
ejpam-3403	39	22	f(x	f(x	PROPN
ejpam-3403	39	23	)	)	PUNCT
ejpam-3403	40	1	=	=	SYM
ejpam-3403	40	2	xn	xn	PROPN
ejpam-3403	40	3	,	,	PUNCT
ejpam-3403	40	4	we	we	PRON
ejpam-3403	40	5	obtain	obtain	VERB
ejpam-3403	40	6	the	the	DET
ejpam-3403	40	7	moment	moment	NOUN
ejpam-3403	40	8	of	of	ADP
ejpam-3403	40	9	n	n	CCONJ
ejpam-3403	40	10	-	-	PUNCT
ejpam-3403	40	11	th	th	VERB
ejpam-3403	40	12	order	order	NOUN
ejpam-3403	40	13	exn	exn	NOUN
ejpam-3403	40	14	of	of	ADP
ejpam-3403	40	15	random	random	ADJ
ejpam-3403	40	16	variables	variable	NOUN
ejpam-3403	40	17	.	.	PUNCT
ejpam-3403	41	1	remark	remark	NOUN
ejpam-3403	41	2	1	1	NUM
ejpam-3403	41	3	.	.	PUNCT
ejpam-3403	42	1	[	[	X
ejpam-3403	42	2	see	see	VERB
ejpam-3403	42	3	15	15	NUM
ejpam-3403	42	4	]	]	PUNCT
ejpam-3403	42	5	if	if	SCONJ
ejpam-3403	42	6	f	f	PROPN
ejpam-3403	42	7	and	and	CCONJ
ejpam-3403	42	8	g	g	PROPN
ejpam-3403	42	9	are	be	AUX
ejpam-3403	42	10	exponential	exponential	ADJ
ejpam-3403	42	11	generating	generating	NOUN
ejpam-3403	42	12	functions	function	NOUN
ejpam-3403	42	13	,	,	PUNCT
ejpam-3403	42	14	and	and	CCONJ
ejpam-3403	42	15	fg	fg	PROPN
ejpam-3403	42	16	=	=	SYM
ejpam-3403	42	17	(	(	PUNCT
ejpam-3403	42	18	∞∑	∞∑	NUM
ejpam-3403	42	19	r=0	r=0	PROPN
ejpam-3403	42	20	art	art	NOUN
ejpam-3403	42	21	r	r	NOUN
ejpam-3403	42	22	r	r	NOUN
ejpam-3403	42	23	!	!	PUNCT
ejpam-3403	42	24	)	)	PUNCT
ejpam-3403	43	1	(	(	PUNCT
ejpam-3403	43	2	∞∑	∞∑	NUM
ejpam-3403	43	3	s=0	s=0	PROPN
ejpam-3403	43	4	bst	bst	PROPN
ejpam-3403	43	5	s	s	PROPN
ejpam-3403	43	6	s	s	PROPN
ejpam-3403	43	7	!	!	PUNCT
ejpam-3403	43	8	)	)	PUNCT
ejpam-3403	44	1	,	,	PUNCT
ejpam-3403	44	2	then	then	ADV
ejpam-3403	44	3	the	the	DET
ejpam-3403	44	4	coefficients	coefficient	NOUN
ejpam-3403	44	5	of	of	ADP
ejpam-3403	44	6	tn	tn	NOUN
ejpam-3403	44	7	n	n	ADP
ejpam-3403	44	8	!	!	PUNCT
ejpam-3403	45	1	in	in	ADP
ejpam-3403	45	2	fg	fg	PROPN
ejpam-3403	45	3	are	be	AUX
ejpam-3403	45	4	given	give	VERB
ejpam-3403	45	5	by	by	ADP
ejpam-3403	45	6	[	[	PUNCT
ejpam-3403	45	7	tn	tn	NOUN
ejpam-3403	45	8	n	n	CCONJ
ejpam-3403	45	9	!	!	PUNCT
ejpam-3403	46	1	]	]	PUNCT
ejpam-3403	46	2	(	(	PUNCT
ejpam-3403	46	3	fg	fg	NOUN
ejpam-3403	46	4	)	)	PUNCT
ejpam-3403	46	5	=	=	SYM
ejpam-3403	47	1	n∑	n∑	NOUN
ejpam-3403	47	2	r=0	r=0	PROPN
ejpam-3403	47	3	(	(	PUNCT
ejpam-3403	47	4	n	n	CCONJ
ejpam-3403	47	5	r	r	NOUN
ejpam-3403	47	6	)	)	PUNCT
ejpam-3403	47	7	arbn−r	arbn−r	NOUN
ejpam-3403	47	8	.	.	PUNCT
ejpam-3403	48	1	next	next	ADV
ejpam-3403	48	2	we	we	PRON
ejpam-3403	48	3	shall	shall	AUX
ejpam-3403	48	4	introduce	introduce	VERB
ejpam-3403	48	5	several	several	ADJ
ejpam-3403	48	6	moment	moment	NOUN
ejpam-3403	48	7	representations	representation	NOUN
ejpam-3403	48	8	of	of	ADP
ejpam-3403	48	9	some	some	DET
ejpam-3403	48	10	combinatorial	combinatorial	ADJ
ejpam-3403	48	11	sequences	sequence	NOUN
ejpam-3403	48	12	.	.	PUNCT
ejpam-3403	49	1	lemma	lemma	PROPN
ejpam-3403	49	2	1	1	NUM
ejpam-3403	49	3	.	.	PUNCT
ejpam-3403	50	1	[	[	X
ejpam-3403	50	2	see	see	VERB
ejpam-3403	50	3	14	14	NUM
ejpam-3403	50	4	]	]	PUNCT
ejpam-3403	50	5	suppose	suppose	VERB
ejpam-3403	50	6	that	that	SCONJ
ejpam-3403	50	7	r.v	r.v	PROPN
ejpam-3403	50	8	u1	u1	NOUN
ejpam-3403	50	9	,	,	PUNCT
ejpam-3403	50	10	u2	u2	NOUN
ejpam-3403	50	11	,	,	PUNCT
ejpam-3403	50	12	i.i.d	i.i.d	ADP
ejpam-3403	50	13	∼	∼	NOUN
ejpam-3403	50	14	u	u	NOUN
ejpam-3403	50	15	[	[	X
ejpam-3403	50	16	0	0	NUM
ejpam-3403	50	17	,	,	PUNCT
ejpam-3403	50	18	1	1	NUM
ejpam-3403	50	19	]	]	PUNCT
ejpam-3403	50	20	,	,	PUNCT
ejpam-3403	50	21	then	then	ADV
ejpam-3403	50	22	harmonic	harmonic	ADJ
ejpam-3403	50	23	numbers	number	NOUN
ejpam-3403	50	24	hn	hn	PROPN
ejpam-3403	50	25	=	=	NOUN
ejpam-3403	50	26	∑n	∑n	NOUN
ejpam-3403	50	27	k=1	k=1	NOUN
ejpam-3403	50	28	1	1	NUM
ejpam-3403	50	29	k	k	NOUN
ejpam-3403	50	30	have	have	VERB
ejpam-3403	50	31	the	the	DET
ejpam-3403	50	32	following	following	ADJ
ejpam-3403	50	33	moment	moment	NOUN
ejpam-3403	50	34	representation	representation	NOUN
ejpam-3403	50	35	,	,	PUNCT
ejpam-3403	50	36	hn	hn	PROPN
ejpam-3403	50	37	=	=	SYM
ejpam-3403	50	38	ne(1−	ne(1−	PROPN
ejpam-3403	50	39	u1u2)n−1	u1u2)n−1	ADJ
ejpam-3403	50	40	,	,	PUNCT
ejpam-3403	50	41	n	n	CCONJ
ejpam-3403	50	42	>	>	X
ejpam-3403	50	43	1	1	NUM
ejpam-3403	50	44	.	.	PUNCT
ejpam-3403	50	45	(	(	PUNCT
ejpam-3403	50	46	7	7	X
ejpam-3403	50	47	)	)	PUNCT
ejpam-3403	50	48	lemma	lemma	PROPN
ejpam-3403	50	49	2	2	NUM
ejpam-3403	50	50	.	.	PUNCT
ejpam-3403	51	1	[	[	X
ejpam-3403	51	2	see	see	VERB
ejpam-3403	51	3	14	14	NUM
ejpam-3403	51	4	]	]	PUNCT
ejpam-3403	51	5	suppose	suppose	VERB
ejpam-3403	51	6	that	that	SCONJ
ejpam-3403	51	7	r.v	r.v	NOUN
ejpam-3403	51	8	x	x	PUNCT
ejpam-3403	51	9	∼	∼	NOUN
ejpam-3403	51	10	γ(1	γ(1	PROPN
ejpam-3403	51	11	,	,	PUNCT
ejpam-3403	51	12	1	1	NUM
ejpam-3403	51	13	)	)	PUNCT
ejpam-3403	51	14	,	,	PUNCT
ejpam-3403	51	15	then	then	ADV
ejpam-3403	51	16	derangement	derangement	NOUN
ejpam-3403	51	17	numbers	number	NOUN
ejpam-3403	51	18	dn	dn	NOUN
ejpam-3403	51	19	=	=	PUNCT
ejpam-3403	51	20	n	n	X
ejpam-3403	51	21	!	!	PUNCT
ejpam-3403	52	1	∑n	∑n	NOUN
ejpam-3403	52	2	k=0	k=0	PROPN
ejpam-3403	52	3	(	(	PUNCT
ejpam-3403	52	4	−1)k	−1)k	PROPN
ejpam-3403	52	5	k	k	AUX
ejpam-3403	52	6	!	!	PUNCT
ejpam-3403	52	7	satisfy	satisfy	VERB
ejpam-3403	52	8	the	the	DET
ejpam-3403	52	9	following	following	ADJ
ejpam-3403	52	10	moment	moment	NOUN
ejpam-3403	52	11	representation	representation	NOUN
ejpam-3403	52	12	,	,	PUNCT
ejpam-3403	52	13	dn	dn	NOUN
ejpam-3403	52	14	=	=	PUNCT
ejpam-3403	52	15	e(x	e(x	NUM
ejpam-3403	52	16	−	−	PROPN
ejpam-3403	52	17	1)n	1)n	NUM
ejpam-3403	52	18	,	,	PUNCT
ejpam-3403	52	19	n	n	PROPN
ejpam-3403	52	20	>	>	X
ejpam-3403	52	21	0	0	NUM
ejpam-3403	52	22	.	.	PUNCT
ejpam-3403	53	1	(	(	PUNCT
ejpam-3403	53	2	8)	8)	NUM
ejpam-3403	53	3	lemma	lemma	PROPN
ejpam-3403	53	4	3	3	X
ejpam-3403	53	5	.	.	PUNCT
ejpam-3403	54	1	[	[	X
ejpam-3403	54	2	see	see	VERB
ejpam-3403	54	3	14	14	NUM
ejpam-3403	54	4	]	]	PUNCT
ejpam-3403	54	5	suppose	suppose	VERB
ejpam-3403	54	6	that	that	SCONJ
ejpam-3403	54	7	r.v	r.v	PROPN
ejpam-3403	54	8	u	u	NOUN
ejpam-3403	54	9	∼	∼	NOUN
ejpam-3403	54	10	u	u	NOUN
ejpam-3403	54	11	[	[	X
ejpam-3403	54	12	0	0	NUM
ejpam-3403	54	13	,	,	PUNCT
ejpam-3403	54	14	1	1	NUM
ejpam-3403	54	15	]	]	PUNCT
ejpam-3403	54	16	,	,	PUNCT
ejpam-3403	54	17	then	then	ADV
ejpam-3403	54	18	fibonacci	fibonacci	NOUN
ejpam-3403	54	19	numbers	number	NOUN
ejpam-3403	54	20	fn	fn	AUX
ejpam-3403	54	21	have	have	VERB
ejpam-3403	54	22	the	the	DET
ejpam-3403	54	23	following	following	ADJ
ejpam-3403	54	24	moment	moment	NOUN
ejpam-3403	54	25	representation	representation	NOUN
ejpam-3403	54	26	,	,	PUNCT
ejpam-3403	54	27	fn	fn	NOUN
ejpam-3403	54	28	=	=	SYM
ejpam-3403	54	29	(	(	PUNCT
ejpam-3403	54	30	n+	n+	NUM
ejpam-3403	54	31	1)e	1)e	NUM
ejpam-3403	54	32	(	(	PUNCT
ejpam-3403	54	33	√	√	NUM
ejpam-3403	54	34	5u+	5u+	NUM
ejpam-3403	54	35	(	(	PUNCT
ejpam-3403	54	36	1−	1−	NUM
ejpam-3403	54	37	√	√	NUM
ejpam-3403	54	38	5	5	NUM
ejpam-3403	54	39	)	)	SYM
ejpam-3403	54	40	2	2	NUM
ejpam-3403	54	41	)	)	PUNCT
ejpam-3403	54	42	n	n	CCONJ
ejpam-3403	54	43	,	,	PUNCT
ejpam-3403	54	44	n	n	CCONJ
ejpam-3403	54	45	>	>	X
ejpam-3403	54	46	0	0	NUM
ejpam-3403	54	47	.	.	PUNCT
ejpam-3403	55	1	(	(	PUNCT
ejpam-3403	55	2	9	9	X
ejpam-3403	55	3	)	)	PUNCT
ejpam-3403	55	4	lemma	lemma	PROPN
ejpam-3403	55	5	4	4	NUM
ejpam-3403	55	6	.	.	PUNCT
ejpam-3403	56	1	[	[	X
ejpam-3403	56	2	see	see	VERB
ejpam-3403	56	3	14	14	NUM
ejpam-3403	56	4	]	]	PUNCT
ejpam-3403	56	5	suppose	suppose	VERB
ejpam-3403	56	6	that	that	SCONJ
ejpam-3403	56	7	r.v	r.v	NOUN
ejpam-3403	56	8	x	x	PUNCT
ejpam-3403	56	9	∼	∼	NOUN
ejpam-3403	56	10	p	p	NOUN
ejpam-3403	56	11	(	(	PUNCT
ejpam-3403	56	12	1	1	NUM
ejpam-3403	56	13	)	)	PUNCT
ejpam-3403	56	14	,	,	PUNCT
ejpam-3403	56	15	then	then	ADV
ejpam-3403	56	16	bell	bell	NOUN
ejpam-3403	56	17	numbers	number	NOUN
ejpam-3403	56	18	bn	bn	INTJ
ejpam-3403	56	19	have	have	VERB
ejpam-3403	56	20	the	the	DET
ejpam-3403	56	21	following	following	ADJ
ejpam-3403	56	22	moment	moment	NOUN
ejpam-3403	56	23	representation	representation	NOUN
ejpam-3403	56	24	,	,	PUNCT
ejpam-3403	56	25	bn	bn	PROPN
ejpam-3403	56	26	=	=	SYM
ejpam-3403	56	27	e(x)n	e(x)n	PROPN
ejpam-3403	56	28	,	,	PUNCT
ejpam-3403	56	29	n	n	CCONJ
ejpam-3403	56	30	>	>	X
ejpam-3403	56	31	0	0	NUM
ejpam-3403	56	32	,	,	PUNCT
ejpam-3403	56	33	bn	bn	NOUN
ejpam-3403	56	34	=	=	VERB
ejpam-3403	56	35	e(x	e(x	PROPN
ejpam-3403	56	36	+	+	CCONJ
ejpam-3403	56	37	1)n−1	1)n−1	NUM
ejpam-3403	56	38	,	,	PUNCT
ejpam-3403	56	39	n	n	CCONJ
ejpam-3403	56	40	>	>	X
ejpam-3403	56	41	1	1	NUM
ejpam-3403	56	42	.	.	PUNCT
ejpam-3403	56	43	(	(	PUNCT
ejpam-3403	56	44	10	10	NUM
ejpam-3403	56	45	)	)	PUNCT
ejpam-3403	56	46	lemma	lemma	PROPN
ejpam-3403	56	47	5	5	NUM
ejpam-3403	56	48	.	.	PUNCT
ejpam-3403	57	1	[	[	X
ejpam-3403	57	2	see	see	VERB
ejpam-3403	57	3	13	13	NUM
ejpam-3403	57	4	]	]	PUNCT
ejpam-3403	57	5	suppose	suppose	VERB
ejpam-3403	57	6	that	that	SCONJ
ejpam-3403	57	7	r.v	r.v	PROPN
ejpam-3403	57	8	l1	l1	PROPN
ejpam-3403	57	9	,	,	PUNCT
ejpam-3403	57	10	l2	l2	NOUN
ejpam-3403	57	11	,	,	PUNCT
ejpam-3403	57	12	·	·	PUNCT
ejpam-3403	57	13	·	·	PUNCT
ejpam-3403	57	14	·	·	PUNCT
ejpam-3403	57	15	,	,	PUNCT
ejpam-3403	57	16	i.i.d	i.i.d	ADP
ejpam-3403	57	17	∼	∼	NOUN
ejpam-3403	57	18	l[0	l[0	NOUN
ejpam-3403	57	19	,	,	PUNCT
ejpam-3403	57	20	1	1	NUM
ejpam-3403	57	21	]	]	PUNCT
ejpam-3403	57	22	and	and	CCONJ
ejpam-3403	57	23	r.v	r.v	PROPN
ejpam-3403	57	24	le	le	X
ejpam-3403	57	25	=	=	PUNCT
ejpam-3403	57	26	∑	∑	PUNCT
ejpam-3403	57	27	k≥1	k≥1	NOUN
ejpam-3403	57	28	lk	lk	NOUN
ejpam-3403	57	29	2kπ	2kπ	NOUN
ejpam-3403	57	30	,	,	PUNCT
ejpam-3403	57	31	then	then	ADV
ejpam-3403	57	32	bernoulli	bernoulli	NOUN
ejpam-3403	57	33	numbers	number	NOUN
ejpam-3403	57	34	bn	bn	PART
ejpam-3403	57	35	satisfy	satisfy	VERB
ejpam-3403	57	36	the	the	DET
ejpam-3403	57	37	following	following	ADJ
ejpam-3403	57	38	moment	moment	NOUN
ejpam-3403	57	39	representation	representation	NOUN
ejpam-3403	57	40	,	,	PUNCT
ejpam-3403	57	41	bn	bn	NOUN
ejpam-3403	57	42	=	=	NOUN
ejpam-3403	57	43	e(ile	e(ile	NOUN
ejpam-3403	57	44	−	−	NUM
ejpam-3403	57	45	1	1	NUM
ejpam-3403	57	46	2	2	NUM
ejpam-3403	57	47	)	)	PUNCT
ejpam-3403	57	48	n	n	CCONJ
ejpam-3403	57	49	,	,	PUNCT
ejpam-3403	57	50	n	n	CCONJ
ejpam-3403	57	51	>	>	X
ejpam-3403	57	52	0	0	NUM
ejpam-3403	57	53	.	.	PUNCT
ejpam-3403	58	1	(	(	PUNCT
ejpam-3403	58	2	11	11	NUM
ejpam-3403	58	3	)	)	PUNCT
ejpam-3403	58	4	lemma	lemma	PROPN
ejpam-3403	58	5	6	6	NUM
ejpam-3403	58	6	.	.	PUNCT
ejpam-3403	59	1	[	[	X
ejpam-3403	59	2	see	see	VERB
ejpam-3403	59	3	13	13	NUM
ejpam-3403	59	4	]	]	PUNCT
ejpam-3403	59	5	suppose	suppose	VERB
ejpam-3403	59	6	that	that	SCONJ
ejpam-3403	59	7	r.v	r.v	PROPN
ejpam-3403	59	8	l1	l1	PROPN
ejpam-3403	59	9	,	,	PUNCT
ejpam-3403	59	10	l2	l2	NOUN
ejpam-3403	59	11	,	,	PUNCT
ejpam-3403	59	12	·	·	PUNCT
ejpam-3403	59	13	·	·	PUNCT
ejpam-3403	59	14	·	·	PUNCT
ejpam-3403	59	15	,	,	PUNCT
ejpam-3403	59	16	i.i.d	i.i.d	ADP
ejpam-3403	59	17	∼	∼	NOUN
ejpam-3403	59	18	l[0	l[0	NOUN
ejpam-3403	59	19	,	,	PUNCT
ejpam-3403	59	20	1	1	NUM
ejpam-3403	59	21	]	]	PUNCT
ejpam-3403	59	22	and	and	CCONJ
ejpam-3403	59	23	r.v	r.v	NOUN
ejpam-3403	59	24	l	l	NOUN
ejpam-3403	59	25	=	=	PUNCT
ejpam-3403	59	26	∑	∑	PUNCT
ejpam-3403	59	27	k≥1	k≥1	PROPN
ejpam-3403	59	28	lk	lk	NOUN
ejpam-3403	59	29	(	(	PUNCT
ejpam-3403	59	30	2k−1)π	2k−1)π	NUM
ejpam-3403	59	31	,	,	PUNCT
ejpam-3403	59	32	then	then	ADV
ejpam-3403	59	33	euler	euler	VERB
ejpam-3403	59	34	numbers	number	NOUN
ejpam-3403	59	35	en	en	ADV
ejpam-3403	59	36	have	have	VERB
ejpam-3403	59	37	the	the	DET
ejpam-3403	59	38	following	following	ADJ
ejpam-3403	59	39	moment	moment	NOUN
ejpam-3403	59	40	representation	representation	NOUN
ejpam-3403	59	41	,	,	PUNCT
ejpam-3403	59	42	en	en	X
ejpam-3403	59	43	=	=	SYM
ejpam-3403	59	44	2ne(il)n	2ne(il)n	PROPN
ejpam-3403	59	45	,	,	PUNCT
ejpam-3403	59	46	n	n	CCONJ
ejpam-3403	59	47	>	>	X
ejpam-3403	59	48	0	0	NUM
ejpam-3403	59	49	.	.	PUNCT
ejpam-3403	60	1	(	(	PUNCT
ejpam-3403	60	2	12	12	NUM
ejpam-3403	60	3	)	)	PUNCT
ejpam-3403	60	4	t.	t.	PROPN
ejpam-3403	60	5	hao	hao	PROPN
ejpam-3403	60	6	,	,	PUNCT
ejpam-3403	60	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	60	8	/	/	SYM
ejpam-3403	60	9	eur	eur	PROPN
ejpam-3403	60	10	.	.	PUNCT
ejpam-3403	61	1	j.	j.	PROPN
ejpam-3403	61	2	pure	pure	PROPN
ejpam-3403	61	3	appl	appl	PROPN
ejpam-3403	61	4	.	.	PROPN
ejpam-3403	61	5	math	math	PROPN
ejpam-3403	61	6	,	,	PUNCT
ejpam-3403	61	7	12	12	NUM
ejpam-3403	61	8	(	(	PUNCT
ejpam-3403	61	9	2	2	NUM
ejpam-3403	61	10	)	)	PUNCT
ejpam-3403	61	11	(	(	PUNCT
ejpam-3403	61	12	2019	2019	NUM
ejpam-3403	61	13	)	)	PUNCT
ejpam-3403	61	14	,	,	PUNCT
ejpam-3403	61	15	605	605	NUM
ejpam-3403	61	16	-	-	SYM
ejpam-3403	61	17	621	621	NUM
ejpam-3403	61	18	608	608	NUM
ejpam-3403	61	19	lemma	lemma	PROPN
ejpam-3403	61	20	7	7	NUM
ejpam-3403	61	21	.	.	PUNCT
ejpam-3403	62	1	[	[	X
ejpam-3403	62	2	see	see	VERB
ejpam-3403	62	3	14	14	NUM
ejpam-3403	62	4	]	]	PUNCT
ejpam-3403	62	5	suppose	suppose	VERB
ejpam-3403	62	6	that	that	SCONJ
ejpam-3403	62	7	r.v	r.v	NOUN
ejpam-3403	62	8	x	x	PUNCT
ejpam-3403	62	9	∼	∼	NOUN
ejpam-3403	62	10	γ(u	γ(u	NOUN
ejpam-3403	62	11	,	,	PUNCT
ejpam-3403	62	12	1	1	NUM
ejpam-3403	62	13	)	)	PUNCT
ejpam-3403	62	14	,	,	PUNCT
ejpam-3403	62	15	u	u	NOUN
ejpam-3403	62	16	∼	∼	NOUN
ejpam-3403	62	17	u	u	NOUN
ejpam-3403	62	18	[	[	X
ejpam-3403	62	19	0	0	NUM
ejpam-3403	62	20	,	,	PUNCT
ejpam-3403	62	21	1	1	NUM
ejpam-3403	62	22	]	]	PUNCT
ejpam-3403	62	23	,	,	PUNCT
ejpam-3403	62	24	and	and	CCONJ
ejpam-3403	62	25	x	x	X
ejpam-3403	62	26	,	,	PUNCT
ejpam-3403	62	27	u	u	PRON
ejpam-3403	62	28	are	be	AUX
ejpam-3403	62	29	independent	independent	ADJ
ejpam-3403	62	30	,	,	PUNCT
ejpam-3403	62	31	then	then	ADV
ejpam-3403	62	32	cauchy	cauchy	ADJ
ejpam-3403	62	33	numbers	number	NOUN
ejpam-3403	62	34	of	of	ADP
ejpam-3403	62	35	the	the	DET
ejpam-3403	62	36	second	second	ADJ
ejpam-3403	62	37	kind	kind	NOUN
ejpam-3403	62	38	cn	cn	PROPN
ejpam-3403	62	39	satisfy	satisfy	VERB
ejpam-3403	62	40	the	the	DET
ejpam-3403	62	41	following	following	ADJ
ejpam-3403	62	42	moment	moment	NOUN
ejpam-3403	62	43	representation	representation	NOUN
ejpam-3403	62	44	,	,	PUNCT
ejpam-3403	62	45	cn	cn	PROPN
ejpam-3403	62	46	=	=	PROPN
ejpam-3403	62	47	exn	exn	PROPN
ejpam-3403	62	48	,	,	PUNCT
ejpam-3403	62	49	n	n	CCONJ
ejpam-3403	62	50	>	>	X
ejpam-3403	62	51	0	0	NUM
ejpam-3403	62	52	.	.	PUNCT
ejpam-3403	63	1	(	(	PUNCT
ejpam-3403	63	2	13	13	NUM
ejpam-3403	63	3	)	)	PUNCT
ejpam-3403	63	4	lemma	lemma	PROPN
ejpam-3403	63	5	8	8	NUM
ejpam-3403	63	6	.	.	PUNCT
ejpam-3403	64	1	[	[	X
ejpam-3403	64	2	see	see	VERB
ejpam-3403	64	3	14	14	NUM
ejpam-3403	64	4	]	]	PUNCT
ejpam-3403	64	5	suppose	suppose	VERB
ejpam-3403	64	6	that	that	SCONJ
ejpam-3403	64	7	r.v	r.v	PROPN
ejpam-3403	64	8	u1	u1	NOUN
ejpam-3403	64	9	,	,	PUNCT
ejpam-3403	64	10	u2	u2	PROPN
ejpam-3403	64	11	,	,	PUNCT
ejpam-3403	64	12	·	·	PUNCT
ejpam-3403	64	13	·	·	PUNCT
ejpam-3403	64	14	·	·	PUNCT
ejpam-3403	64	15	,	,	PUNCT
ejpam-3403	64	16	i.i.d	i.i.d	ADP
ejpam-3403	64	17	∼	∼	NOUN
ejpam-3403	64	18	u	u	NOUN
ejpam-3403	64	19	[	[	X
ejpam-3403	64	20	0	0	NUM
ejpam-3403	64	21	,	,	PUNCT
ejpam-3403	64	22	1	1	NUM
ejpam-3403	64	23	]	]	PUNCT
ejpam-3403	64	24	for	for	ADP
ejpam-3403	64	25	all	all	DET
ejpam-3403	64	26	i	i	PRON
ejpam-3403	64	27	,	,	PUNCT
ejpam-3403	64	28	when	when	SCONJ
ejpam-3403	64	29	n	n	X
ejpam-3403	64	30	,	,	PUNCT
ejpam-3403	64	31	k	k	PROPN
ejpam-3403	64	32	>	>	X
ejpam-3403	64	33	1	1	NUM
ejpam-3403	64	34	,	,	PUNCT
ejpam-3403	64	35	then	then	ADV
ejpam-3403	64	36	stirling	stirling	NOUN
ejpam-3403	64	37	numbers	number	NOUN
ejpam-3403	64	38	of	of	ADP
ejpam-3403	64	39	the	the	DET
ejpam-3403	64	40	second	second	ADJ
ejpam-3403	64	41	kind	kind	NOUN
ejpam-3403	64	42	have	have	VERB
ejpam-3403	64	43	the	the	DET
ejpam-3403	64	44	following	following	ADJ
ejpam-3403	64	45	moment	moment	NOUN
ejpam-3403	64	46	representation	representation	NOUN
ejpam-3403	64	47	,	,	PUNCT
ejpam-3403	64	48	s(n	s(n	PROPN
ejpam-3403	64	49	,	,	PUNCT
ejpam-3403	64	50	k	k	NOUN
ejpam-3403	64	51	)	)	PUNCT
ejpam-3403	64	52	=	=	SYM
ejpam-3403	64	53	(	(	PUNCT
ejpam-3403	64	54	n	n	X
ejpam-3403	64	55	k	k	NOUN
ejpam-3403	64	56	)	)	PUNCT
ejpam-3403	64	57	e(u1	e(u1	NOUN
ejpam-3403	65	1	+	+	CCONJ
ejpam-3403	65	2	u2	u2	NOUN
ejpam-3403	65	3	+	+	CCONJ
ejpam-3403	65	4	·	·	PUNCT
ejpam-3403	65	5	·	·	PUNCT
ejpam-3403	65	6	·	·	PUNCT
ejpam-3403	65	7	+	+	NUM
ejpam-3403	65	8	uk	uk	PROPN
ejpam-3403	65	9	)	)	PUNCT
ejpam-3403	65	10	n−k	n−k	NOUN
ejpam-3403	65	11	.	.	PUNCT
ejpam-3403	66	1	(	(	PUNCT
ejpam-3403	66	2	14	14	NUM
ejpam-3403	66	3	)	)	PUNCT
ejpam-3403	66	4	it	it	PRON
ejpam-3403	66	5	is	be	AUX
ejpam-3403	66	6	demanded	demand	VERB
ejpam-3403	66	7	that	that	SCONJ
ejpam-3403	66	8	s(n	s(n	PROPN
ejpam-3403	66	9	,	,	PUNCT
ejpam-3403	66	10	0	0	NUM
ejpam-3403	66	11	)	)	PUNCT
ejpam-3403	66	12	=	=	SYM
ejpam-3403	67	1	s(0	s(0	PROPN
ejpam-3403	67	2	,	,	PUNCT
ejpam-3403	67	3	k	k	NOUN
ejpam-3403	67	4	)	)	PUNCT
ejpam-3403	67	5	=	=	SYM
ejpam-3403	67	6	0	0	NUM
ejpam-3403	67	7	,	,	PUNCT
ejpam-3403	67	8	s(0	s(0	PROPN
ejpam-3403	67	9	,	,	PUNCT
ejpam-3403	67	10	0	0	NUM
ejpam-3403	67	11	)	)	PUNCT
ejpam-3403	67	12	=	=	SYM
ejpam-3403	67	13	1	1	NUM
ejpam-3403	67	14	.	.	NOUN
ejpam-3403	67	15	2	2	NUM
ejpam-3403	67	16	.	.	PUNCT
ejpam-3403	67	17	moment	moment	NOUN
ejpam-3403	67	18	representations	representation	NOUN
ejpam-3403	67	19	of	of	ADP
ejpam-3403	67	20	the	the	DET
ejpam-3403	67	21	generalized	generalized	ADJ
ejpam-3403	67	22	higher	high	ADJ
ejpam-3403	67	23	-	-	PUNCT
ejpam-3403	67	24	order	order	NOUN
ejpam-3403	67	25	genocchi	genocchi	NOUN
ejpam-3403	67	26	polynomials	polynomial	NOUN
ejpam-3403	67	27	in	in	ADP
ejpam-3403	67	28	this	this	DET
ejpam-3403	67	29	section	section	NOUN
ejpam-3403	67	30	,	,	PUNCT
ejpam-3403	67	31	we	we	PRON
ejpam-3403	67	32	derive	derive	VERB
ejpam-3403	67	33	the	the	DET
ejpam-3403	67	34	moment	moment	NOUN
ejpam-3403	67	35	representation	representation	NOUN
ejpam-3403	67	36	of	of	ADP
ejpam-3403	67	37	the	the	DET
ejpam-3403	67	38	generalized	generalized	ADJ
ejpam-3403	67	39	higher	high	ADJ
ejpam-3403	67	40	-	-	PUNCT
ejpam-3403	67	41	order	order	NOUN
ejpam-3403	67	42	genocchi	genocchi	NOUN
ejpam-3403	67	43	polynomials	polynomial	NOUN
ejpam-3403	67	44	by	by	ADP
ejpam-3403	67	45	means	mean	NOUN
ejpam-3403	67	46	of	of	ADP
ejpam-3403	67	47	the	the	DET
ejpam-3403	67	48	probabilistic	probabilistic	ADJ
ejpam-3403	67	49	method	method	NOUN
ejpam-3403	67	50	.	.	PUNCT
ejpam-3403	68	1	some	some	DET
ejpam-3403	68	2	properties	property	NOUN
ejpam-3403	68	3	and	and	CCONJ
ejpam-3403	68	4	identities	identity	NOUN
ejpam-3403	68	5	of	of	ADP
ejpam-3403	68	6	generalized	generalized	ADJ
ejpam-3403	68	7	higher	high	ADJ
ejpam-3403	68	8	-	-	PUNCT
ejpam-3403	68	9	order	order	NOUN
ejpam-3403	68	10	genocchi	genocchi	NOUN
ejpam-3403	68	11	polynomials	polynomial	NOUN
ejpam-3403	68	12	and	and	CCONJ
ejpam-3403	68	13	numbers	number	NOUN
ejpam-3403	68	14	are	be	AUX
ejpam-3403	68	15	given	give	VERB
ejpam-3403	68	16	on	on	ADP
ejpam-3403	68	17	the	the	DET
ejpam-3403	68	18	foundation	foundation	NOUN
ejpam-3403	68	19	of	of	ADP
ejpam-3403	68	20	the	the	DET
ejpam-3403	68	21	moment	moment	NOUN
ejpam-3403	68	22	expression	expression	NOUN
ejpam-3403	68	23	.	.	PUNCT
ejpam-3403	69	1	theorem	theorem	NOUN
ejpam-3403	69	2	1	1	NUM
ejpam-3403	69	3	.	.	PUNCT
ejpam-3403	69	4	suppose	suppose	VERB
ejpam-3403	69	5	that	that	SCONJ
ejpam-3403	69	6	r.v	r.v	PROPN
ejpam-3403	69	7	l1	l1	PROPN
ejpam-3403	69	8	,	,	PUNCT
ejpam-3403	69	9	l2	l2	NOUN
ejpam-3403	69	10	,	,	PUNCT
ejpam-3403	69	11	·	·	PUNCT
ejpam-3403	69	12	·	·	PUNCT
ejpam-3403	69	13	·	·	PUNCT
ejpam-3403	69	14	,	,	PUNCT
ejpam-3403	69	15	i.i.d	i.i.d	ADP
ejpam-3403	69	16	∼	∼	NOUN
ejpam-3403	69	17	l[0	l[0	NOUN
ejpam-3403	69	18	,	,	PUNCT
ejpam-3403	69	19	1	1	NUM
ejpam-3403	69	20	]	]	PUNCT
ejpam-3403	69	21	,	,	PUNCT
ejpam-3403	69	22	i2	i2	PROPN
ejpam-3403	69	23	=	=	SYM
ejpam-3403	69	24	−1	−1	NOUN
ejpam-3403	69	25	,	,	PUNCT
ejpam-3403	69	26	let	let	VERB
ejpam-3403	69	27	l	l	NOUN
ejpam-3403	69	28	=	=	PUNCT
ejpam-3403	69	29	∑	∑	PUNCT
ejpam-3403	69	30	k≥1	k≥1	PROPN
ejpam-3403	69	31	lk	lk	NOUN
ejpam-3403	69	32	(	(	PUNCT
ejpam-3403	69	33	2k−1)π	2k−1)π	NUM
ejpam-3403	69	34	and	and	CCONJ
ejpam-3403	69	35	for	for	ADP
ejpam-3403	69	36	all	all	DET
ejpam-3403	69	37	j	j	PROPN
ejpam-3403	69	38	,	,	PUNCT
ejpam-3403	69	39	l(j	l(j	PROPN
ejpam-3403	69	40	)	)	PUNCT
ejpam-3403	69	41	=	=	SYM
ejpam-3403	69	42	∑	∑	PUNCT
ejpam-3403	69	43	k≥1	k≥1	PROPN
ejpam-3403	69	44	l	l	NOUN
ejpam-3403	69	45	(	(	PUNCT
ejpam-3403	69	46	j	j	NOUN
ejpam-3403	69	47	)	)	PUNCT
ejpam-3403	69	48	k	k	PROPN
ejpam-3403	70	1	(	(	PUNCT
ejpam-3403	70	2	2k−1)π	2k−1)π	NOUN
ejpam-3403	70	3	be	be	AUX
ejpam-3403	70	4	random	random	ADJ
ejpam-3403	70	5	variables	variable	NOUN
ejpam-3403	70	6	and	and	CCONJ
ejpam-3403	70	7	r.v	r.v	PROPN
ejpam-3403	70	8	{	{	PUNCT
ejpam-3403	70	9	l(j)}1≤	l(j)}1≤	PROPN
ejpam-3403	70	10	j	j	NOUN
ejpam-3403	71	1	≤α	≤α	NOUN
ejpam-3403	71	2	are	be	AUX
ejpam-3403	71	3	independent	independent	ADJ
ejpam-3403	71	4	and	and	CCONJ
ejpam-3403	71	5	obey	obey	VERB
ejpam-3403	71	6	the	the	DET
ejpam-3403	71	7	same	same	ADJ
ejpam-3403	71	8	distribution	distribution	NOUN
ejpam-3403	71	9	as	as	SCONJ
ejpam-3403	71	10	l.	l.	PROPN
ejpam-3403	71	11	then	then	ADV
ejpam-3403	71	12	let	let	VERB
ejpam-3403	71	13	a	a	DET
ejpam-3403	71	14	,	,	PUNCT
ejpam-3403	71	15	b	b	NOUN
ejpam-3403	71	16	and	and	CCONJ
ejpam-3403	71	17	c	c	PROPN
ejpam-3403	71	18	be	be	AUX
ejpam-3403	71	19	positive	positive	ADJ
ejpam-3403	71	20	integers	integer	NOUN
ejpam-3403	71	21	with	with	ADP
ejpam-3403	71	22	conditions	condition	NOUN
ejpam-3403	71	23	a	a	PRON
ejpam-3403	71	24	6=	6=	PROPN
ejpam-3403	71	25	b	b	PROPN
ejpam-3403	71	26	,	,	PUNCT
ejpam-3403	71	27	ab	ab	PROPN
ejpam-3403	71	28	6=	6=	ADP
ejpam-3403	71	29	1	1	NUM
ejpam-3403	71	30	and	and	CCONJ
ejpam-3403	71	31	c	c	PROPN
ejpam-3403	71	32	6=	6=	PROPN
ejpam-3403	71	33	1	1	NUM
ejpam-3403	71	34	,	,	PUNCT
ejpam-3403	71	35	for	for	ADP
ejpam-3403	71	36	α	α	PRON
ejpam-3403	71	37	∈	∈	PROPN
ejpam-3403	71	38	n+	n+	PROPN
ejpam-3403	71	39	,	,	PUNCT
ejpam-3403	71	40	x	x	PUNCT
ejpam-3403	71	41	∈	∈	PROPN
ejpam-3403	71	42	r	r	NOUN
ejpam-3403	71	43	,	,	PUNCT
ejpam-3403	71	44	n	n	PRON
ejpam-3403	71	45	≥	≥	NOUN
ejpam-3403	71	46	α	α	NOUN
ejpam-3403	71	47	,	,	PUNCT
ejpam-3403	71	48	the	the	DET
ejpam-3403	71	49	generalized	generalized	ADJ
ejpam-3403	71	50	higher	high	ADJ
ejpam-3403	71	51	-	-	PUNCT
ejpam-3403	71	52	order	order	NOUN
ejpam-3403	71	53	genocchi	genocchi	NOUN
ejpam-3403	71	54	polynomials	polynomial	VERB
ejpam-3403	71	55	g	g	PROPN
ejpam-3403	71	56	(	(	PUNCT
ejpam-3403	71	57	α	α	NOUN
ejpam-3403	71	58	)	)	PUNCT
ejpam-3403	71	59	n	n	PROPN
ejpam-3403	71	60	(	(	PUNCT
ejpam-3403	71	61	x	x	X
ejpam-3403	71	62	;	;	PUNCT
ejpam-3403	71	63	a	a	DET
ejpam-3403	71	64	,	,	PUNCT
ejpam-3403	71	65	b	b	NOUN
ejpam-3403	71	66	,	,	PUNCT
ejpam-3403	71	67	c	c	NOUN
ejpam-3403	71	68	)	)	PUNCT
ejpam-3403	71	69	satisfy	satisfy	VERB
ejpam-3403	71	70	the	the	DET
ejpam-3403	71	71	following	following	ADJ
ejpam-3403	71	72	moment	moment	NOUN
ejpam-3403	71	73	representation	representation	NOUN
ejpam-3403	71	74	:	:	PUNCT
ejpam-3403	71	75	g(α	g(α	PROPN
ejpam-3403	71	76	)	)	PUNCT
ejpam-3403	71	77	n	n	CCONJ
ejpam-3403	71	78	(	(	PUNCT
ejpam-3403	71	79	x	x	X
ejpam-3403	71	80	;	;	PUNCT
ejpam-3403	71	81	a	a	DET
ejpam-3403	71	82	,	,	PUNCT
ejpam-3403	71	83	b	b	NOUN
ejpam-3403	71	84	,	,	PUNCT
ejpam-3403	71	85	c	c	NOUN
ejpam-3403	71	86	)	)	PUNCT
ejpam-3403	71	87	=	=	SYM
ejpam-3403	71	88	n	n	X
ejpam-3403	71	89	!	!	PUNCT
ejpam-3403	72	1	(	(	PUNCT
ejpam-3403	72	2	n−	n−	NOUN
ejpam-3403	72	3	α	α	NOUN
ejpam-3403	72	4	)	)	PUNCT
ejpam-3403	72	5	!	!	PUNCT
ejpam-3403	73	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	73	2	)	)	PUNCT
ejpam-3403	74	1	+	+	NUM
ejpam-3403	74	2	·	·	PUNCT
ejpam-3403	74	3	·	·	PUNCT
ejpam-3403	74	4	·	·	PUNCT
ejpam-3403	74	5	+	+	ADJ
ejpam-3403	74	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	74	7	b	b	X
ejpam-3403	74	8	a	a	PRON
ejpam-3403	74	9	+	+	NUM
ejpam-3403	74	10	xlnc−	xlnc−	NUM
ejpam-3403	74	11	α	α	NOUN
ejpam-3403	74	12	2	2	NUM
ejpam-3403	74	13	lnab]n−α	lnab]n−α	NOUN
ejpam-3403	74	14	,	,	PUNCT
ejpam-3403	74	15	(	(	PUNCT
ejpam-3403	74	16	n	n	CCONJ
ejpam-3403	74	17	≥	≥	NOUN
ejpam-3403	74	18	α	α	NOUN
ejpam-3403	74	19	)	)	PUNCT
ejpam-3403	74	20	.	.	PUNCT
ejpam-3403	75	1	(	(	PUNCT
ejpam-3403	75	2	15	15	X
ejpam-3403	75	3	)	)	PUNCT
ejpam-3403	75	4	proof	proof	NOUN
ejpam-3403	75	5	.	.	PUNCT
ejpam-3403	76	1	from	from	ADP
ejpam-3403	76	2	the	the	DET
ejpam-3403	76	3	generating	generate	VERB
ejpam-3403	76	4	function	function	NOUN
ejpam-3403	76	5	of	of	ADP
ejpam-3403	76	6	the	the	DET
ejpam-3403	76	7	generalized	generalized	ADJ
ejpam-3403	76	8	higher	high	ADJ
ejpam-3403	76	9	-	-	PUNCT
ejpam-3403	76	10	order	order	NOUN
ejpam-3403	76	11	genocchi	genocchi	NOUN
ejpam-3403	76	12	polynomials	polynomial	NOUN
ejpam-3403	76	13	we	we	PRON
ejpam-3403	76	14	discover	discover	VERB
ejpam-3403	76	15	∞∑	∞∑	PRON
ejpam-3403	76	16	n=0	n=0	NUM
ejpam-3403	76	17	g(α	g(α	PROPN
ejpam-3403	76	18	)	)	PUNCT
ejpam-3403	76	19	n	n	CCONJ
ejpam-3403	76	20	(	(	PUNCT
ejpam-3403	76	21	x	x	X
ejpam-3403	76	22	;	;	PUNCT
ejpam-3403	76	23	a	a	DET
ejpam-3403	76	24	,	,	PUNCT
ejpam-3403	76	25	b	b	NOUN
ejpam-3403	76	26	,	,	PUNCT
ejpam-3403	76	27	c	c	NOUN
ejpam-3403	76	28	)	)	PUNCT
ejpam-3403	76	29	tn	tn	PROPN
ejpam-3403	76	30	n	n	CCONJ
ejpam-3403	76	31	!	!	PUNCT
ejpam-3403	77	1	=	=	PUNCT
ejpam-3403	77	2	(	(	PUNCT
ejpam-3403	77	3	2	2	NUM
ejpam-3403	77	4	t	t	NOUN
ejpam-3403	77	5	bt	bt	NOUN
ejpam-3403	77	6	+	+	CCONJ
ejpam-3403	77	7	at	at	ADP
ejpam-3403	77	8	)	)	PUNCT
ejpam-3403	77	9	αcxt	αcxt	NOUN
ejpam-3403	77	10	=	=	SYM
ejpam-3403	77	11	tα	tα	PROPN
ejpam-3403	77	12	(	(	PUNCT
ejpam-3403	77	13	2	2	NUM
ejpam-3403	77	14	(	(	PUNCT
ejpam-3403	77	15	ba)t	ba)t	ADV
ejpam-3403	77	16	+	+	CCONJ
ejpam-3403	77	17	1	1	NUM
ejpam-3403	77	18	)	)	PUNCT
ejpam-3403	77	19	αa−tαcxt	αa−tαcxt	NOUN
ejpam-3403	77	20	=	=	SYM
ejpam-3403	77	21	tα	tα	PROPN
ejpam-3403	77	22	(	(	PUNCT
ejpam-3403	77	23	2e	2e	PROPN
ejpam-3403	77	24	t	t	PROPN
ejpam-3403	77	25	2	2	NUM
ejpam-3403	77	26	ln	ln	NOUN
ejpam-3403	77	27	b	b	PROPN
ejpam-3403	77	28	a	a	DET
ejpam-3403	77	29	etln	etln	NOUN
ejpam-3403	77	30	b	b	X
ejpam-3403	77	31	a	a	DET
ejpam-3403	77	32	+	+	NOUN
ejpam-3403	77	33	1	1	NUM
ejpam-3403	77	34	)	)	PUNCT
ejpam-3403	77	35	αet(xlnc−	αet(xlnc−	NUM
ejpam-3403	78	1	α	α	NOUN
ejpam-3403	78	2	2	2	NUM
ejpam-3403	78	3	ln	ln	NOUN
ejpam-3403	78	4	b	b	PROPN
ejpam-3403	78	5	a	a	DET
ejpam-3403	78	6	−αlna	−αlna	NOUN
ejpam-3403	78	7	)	)	PUNCT
ejpam-3403	78	8	=	=	SYM
ejpam-3403	78	9	tα	tα	PROPN
ejpam-3403	78	10	(	(	PUNCT
ejpam-3403	78	11	2e	2e	PROPN
ejpam-3403	78	12	t	t	PROPN
ejpam-3403	78	13	2	2	NUM
ejpam-3403	78	14	ln	ln	NOUN
ejpam-3403	78	15	b	b	PROPN
ejpam-3403	78	16	a	a	DET
ejpam-3403	78	17	etln	etln	NOUN
ejpam-3403	78	18	b	b	X
ejpam-3403	78	19	a	a	DET
ejpam-3403	78	20	+	+	NOUN
ejpam-3403	78	21	1	1	NUM
ejpam-3403	78	22	)	)	PUNCT
ejpam-3403	78	23	αet(xlnc−	αet(xlnc−	NUM
ejpam-3403	79	1	α	α	PRON
ejpam-3403	79	2	2	2	NUM
ejpam-3403	79	3	lnab	lnab	NOUN
ejpam-3403	79	4	)	)	PUNCT
ejpam-3403	79	5	.	.	PUNCT
ejpam-3403	80	1	(	(	PUNCT
ejpam-3403	80	2	16	16	X
ejpam-3403	80	3	)	)	PUNCT
ejpam-3403	80	4	suppose	suppose	VERB
ejpam-3403	80	5	that	that	SCONJ
ejpam-3403	80	6	r.v	r.v	PROPN
ejpam-3403	80	7	l1	l1	PROPN
ejpam-3403	80	8	,	,	PUNCT
ejpam-3403	80	9	l2	l2	NOUN
ejpam-3403	80	10	,	,	PUNCT
ejpam-3403	80	11	·	·	PUNCT
ejpam-3403	80	12	·	·	PUNCT
ejpam-3403	80	13	·	·	PUNCT
ejpam-3403	80	14	,	,	PUNCT
ejpam-3403	80	15	i.i.d	i.i.d	ADP
ejpam-3403	80	16	∼	∼	NOUN
ejpam-3403	80	17	l[0	l[0	NOUN
ejpam-3403	80	18	,	,	PUNCT
ejpam-3403	80	19	1	1	NUM
ejpam-3403	80	20	]	]	PUNCT
ejpam-3403	80	21	,	,	PUNCT
ejpam-3403	80	22	i2	i2	PROPN
ejpam-3403	80	23	=	=	SYM
ejpam-3403	80	24	−1	−1	NOUN
ejpam-3403	80	25	,	,	PUNCT
ejpam-3403	80	26	l	l	X
ejpam-3403	80	27	=	=	PUNCT
ejpam-3403	80	28	∑	∑	PUNCT
ejpam-3403	80	29	k≥1	k≥1	PROPN
ejpam-3403	80	30	lk	lk	NOUN
ejpam-3403	80	31	(	(	PUNCT
ejpam-3403	80	32	2k−1)π	2k−1)π	NUM
ejpam-3403	80	33	[	[	X
ejpam-3403	80	34	13	13	NUM
ejpam-3403	80	35	]	]	PUNCT
ejpam-3403	80	36	,	,	PUNCT
ejpam-3403	80	37	2e	2e	PROPN
ejpam-3403	80	38	t	t	PROPN
ejpam-3403	80	39	2	2	NUM
ejpam-3403	80	40	et	et	NOUN
ejpam-3403	80	41	+	+	NOUN
ejpam-3403	80	42	1	1	NUM
ejpam-3403	80	43	=	=	SYM
ejpam-3403	80	44	1	1	NUM
ejpam-3403	80	45	e	e	NOUN
ejpam-3403	80	46	t	t	NOUN
ejpam-3403	80	47	2+e−	2+e−	NUM
ejpam-3403	80	48	t	t	NOUN
ejpam-3403	80	49	2	2	NUM
ejpam-3403	80	50	2	2	NUM
ejpam-3403	80	51	=	=	SYM
ejpam-3403	80	52	1	1	NUM
ejpam-3403	80	53	cosh	cosh	NOUN
ejpam-3403	80	54	(	(	PUNCT
ejpam-3403	80	55	t2	t2	NOUN
ejpam-3403	80	56	)	)	PUNCT
ejpam-3403	80	57	=	=	SYM
ejpam-3403	80	58	∏	∏	PROPN
ejpam-3403	80	59	k≥1	k≥1	NOUN
ejpam-3403	80	60	[	[	X
ejpam-3403	80	61	1	1	NUM
ejpam-3403	80	62	+	+	CCONJ
ejpam-3403	80	63	(	(	PUNCT
ejpam-3403	80	64	t	t	PROPN
ejpam-3403	80	65	(	(	PUNCT
ejpam-3403	80	66	2k	2k	NOUN
ejpam-3403	80	67	−	−	PROPN
ejpam-3403	80	68	1)π	1)π	NUM
ejpam-3403	80	69	)	)	PUNCT
ejpam-3403	81	1	2]−1	2]−1	X
ejpam-3403	81	2	.	.	PUNCT
ejpam-3403	82	1	(	(	PUNCT
ejpam-3403	82	2	17	17	NUM
ejpam-3403	82	3	)	)	PUNCT
ejpam-3403	82	4	t.	t.	PROPN
ejpam-3403	82	5	hao	hao	PROPN
ejpam-3403	82	6	,	,	PUNCT
ejpam-3403	82	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	82	8	/	/	SYM
ejpam-3403	82	9	eur	eur	PROPN
ejpam-3403	82	10	.	.	PUNCT
ejpam-3403	83	1	j.	j.	PROPN
ejpam-3403	83	2	pure	pure	PROPN
ejpam-3403	83	3	appl	appl	PROPN
ejpam-3403	83	4	.	.	PROPN
ejpam-3403	83	5	math	math	PROPN
ejpam-3403	83	6	,	,	PUNCT
ejpam-3403	83	7	12	12	NUM
ejpam-3403	83	8	(	(	PUNCT
ejpam-3403	83	9	2	2	NUM
ejpam-3403	83	10	)	)	PUNCT
ejpam-3403	83	11	(	(	PUNCT
ejpam-3403	83	12	2019	2019	NUM
ejpam-3403	83	13	)	)	PUNCT
ejpam-3403	83	14	,	,	PUNCT
ejpam-3403	83	15	605	605	NUM
ejpam-3403	83	16	-	-	SYM
ejpam-3403	83	17	621	621	NUM
ejpam-3403	83	18	609	609	NUM
ejpam-3403	83	19	because	because	SCONJ
ejpam-3403	83	20	[	[	X
ejpam-3403	83	21	1	1	NUM
ejpam-3403	83	22	+	+	ADJ
ejpam-3403	83	23	(	(	PUNCT
ejpam-3403	83	24	t	t	PROPN
ejpam-3403	83	25	(	(	PUNCT
ejpam-3403	83	26	2k−1)π	2k−1)π	NUM
ejpam-3403	83	27	)	)	PUNCT
ejpam-3403	83	28	2]−1	2]−1	NUM
ejpam-3403	83	29	is	be	AUX
ejpam-3403	83	30	the	the	DET
ejpam-3403	83	31	characteristic	characteristic	ADJ
ejpam-3403	83	32	function	function	NOUN
ejpam-3403	83	33	of	of	ADP
ejpam-3403	83	34	r.v	r.v	PROPN
ejpam-3403	83	35	lk	lk	PROPN
ejpam-3403	83	36	(	(	PUNCT
ejpam-3403	83	37	2k−1)π	2k−1)π	NUM
ejpam-3403	83	38	,	,	PUNCT
ejpam-3403	83	39	we	we	PRON
ejpam-3403	83	40	discover	discover	VERB
ejpam-3403	83	41	that∏	that∏	PUNCT
ejpam-3403	83	42	k≥1[1	k≥1[1	PROPN
ejpam-3403	84	1	+	+	CCONJ
ejpam-3403	85	1	(	(	PUNCT
ejpam-3403	85	2	t	t	PROPN
ejpam-3403	85	3	(	(	PUNCT
ejpam-3403	85	4	2k−1)π	2k−1)π	NUM
ejpam-3403	85	5	)	)	PUNCT
ejpam-3403	85	6	2]−1	2]−1	NUM
ejpam-3403	85	7	is	be	AUX
ejpam-3403	85	8	the	the	DET
ejpam-3403	85	9	characteristic	characteristic	ADJ
ejpam-3403	85	10	function	function	NOUN
ejpam-3403	85	11	of	of	ADP
ejpam-3403	85	12	l	l	NOUN
ejpam-3403	85	13	=	=	PUNCT
ejpam-3403	85	14	∑	∑	PUNCT
ejpam-3403	85	15	k≥1	k≥1	PROPN
ejpam-3403	85	16	lk	lk	NOUN
ejpam-3403	85	17	(	(	PUNCT
ejpam-3403	85	18	2k−1)π	2k−1)π	NUM
ejpam-3403	85	19	.	.	PUNCT
ejpam-3403	86	1	all	all	DET
ejpam-3403	86	2	moments	moment	NOUN
ejpam-3403	86	3	of	of	ADP
ejpam-3403	86	4	the	the	DET
ejpam-3403	86	5	random	random	ADJ
ejpam-3403	86	6	variables	variable	NOUN
ejpam-3403	86	7	exist	exist	VERB
ejpam-3403	86	8	,	,	PUNCT
ejpam-3403	86	9	hence	hence	ADV
ejpam-3403	86	10	the	the	DET
ejpam-3403	86	11	discovery	discovery	NOUN
ejpam-3403	86	12	depends	depend	VERB
ejpam-3403	86	13	on	on	ADP
ejpam-3403	86	14	the	the	DET
ejpam-3403	86	15	following	follow	VERB
ejpam-3403	86	16	identity	identity	NOUN
ejpam-3403	86	17	:	:	PUNCT
ejpam-3403	86	18	∞∑	∞∑	NUM
ejpam-3403	86	19	n=0	n=0	NUM
ejpam-3403	86	20	eln	eln	NOUN
ejpam-3403	86	21	(	(	PUNCT
ejpam-3403	86	22	it)n	it)n	PROPN
ejpam-3403	86	23	n	n	NOUN
ejpam-3403	86	24	!	!	PUNCT
ejpam-3403	86	25	=	=	SYM
ejpam-3403	87	1	∏	∏	PROPN
ejpam-3403	87	2	k≥1	k≥1	NOUN
ejpam-3403	87	3	[	[	X
ejpam-3403	87	4	1	1	NUM
ejpam-3403	87	5	+	+	CCONJ
ejpam-3403	87	6	(	(	PUNCT
ejpam-3403	87	7	t	t	PROPN
ejpam-3403	87	8	(	(	PUNCT
ejpam-3403	87	9	2k	2k	NOUN
ejpam-3403	87	10	−	−	PROPN
ejpam-3403	87	11	1)π	1)π	NUM
ejpam-3403	87	12	)	)	PUNCT
ejpam-3403	88	1	2]−1	2]−1	NUM
ejpam-3403	89	1	=	=	SYM
ejpam-3403	89	2	2e	2e	NUM
ejpam-3403	89	3	t	t	PROPN
ejpam-3403	89	4	2	2	NUM
ejpam-3403	89	5	et	et	NOUN
ejpam-3403	89	6	+	+	ADP
ejpam-3403	89	7	1	1	NUM
ejpam-3403	89	8	,	,	PUNCT
ejpam-3403	89	9	(	(	PUNCT
ejpam-3403	89	10	i2	i2	PROPN
ejpam-3403	89	11	=	=	SYM
ejpam-3403	89	12	−1	−1	NOUN
ejpam-3403	89	13	)	)	PUNCT
ejpam-3403	89	14	.	.	PUNCT
ejpam-3403	90	1	(	(	PUNCT
ejpam-3403	90	2	18	18	NUM
ejpam-3403	90	3	)	)	PUNCT
ejpam-3403	90	4	let	let	VERB
ejpam-3403	90	5	l(j	l(j	NOUN
ejpam-3403	90	6	)	)	PUNCT
ejpam-3403	90	7	=	=	SYM
ejpam-3403	90	8	∑	∑	PUNCT
ejpam-3403	90	9	k≥1	k≥1	PROPN
ejpam-3403	90	10	l	l	NOUN
ejpam-3403	90	11	(	(	PUNCT
ejpam-3403	90	12	j	j	NOUN
ejpam-3403	90	13	)	)	PUNCT
ejpam-3403	90	14	k	k	PROPN
ejpam-3403	91	1	(	(	PUNCT
ejpam-3403	91	2	2k−1)π	2k−1)π	NOUN
ejpam-3403	91	3	be	be	AUX
ejpam-3403	91	4	a	a	DET
ejpam-3403	91	5	random	random	ADJ
ejpam-3403	91	6	variable	variable	NOUN
ejpam-3403	91	7	and	and	CCONJ
ejpam-3403	91	8	for	for	ADP
ejpam-3403	91	9	all	all	PRON
ejpam-3403	91	10	j	j	PROPN
ejpam-3403	91	11	r.v	r.v	PROPN
ejpam-3403	91	12	{	{	PUNCT
ejpam-3403	91	13	l(j)}1≤	l(j)}1≤	PROPN
ejpam-3403	91	14	j	j	NOUN
ejpam-3403	91	15	≤α	≤α	NOUN
ejpam-3403	91	16	are	be	AUX
ejpam-3403	91	17	independent	independent	ADJ
ejpam-3403	91	18	and	and	CCONJ
ejpam-3403	91	19	obey	obey	VERB
ejpam-3403	91	20	the	the	DET
ejpam-3403	91	21	same	same	ADJ
ejpam-3403	91	22	distribution	distribution	NOUN
ejpam-3403	91	23	as	as	ADP
ejpam-3403	91	24	l.	l.	NOUN
ejpam-3403	91	25	according	accord	VERB
ejpam-3403	91	26	to	to	ADP
ejpam-3403	91	27	eq.(16	eq.(16	NOUN
ejpam-3403	91	28	)	)	PUNCT
ejpam-3403	91	29	and	and	CCONJ
ejpam-3403	91	30	eq.(18	eq.(18	NOUN
ejpam-3403	91	31	)	)	PUNCT
ejpam-3403	91	32	,	,	PUNCT
ejpam-3403	91	33	we	we	PRON
ejpam-3403	91	34	have	have	AUX
ejpam-3403	91	35	tα	tα	VERB
ejpam-3403	91	36	(	(	PUNCT
ejpam-3403	91	37	∑	∑	INTJ
ejpam-3403	91	38	m≥0	m≥0	PROPN
ejpam-3403	91	39	elm	elm	PROPN
ejpam-3403	91	40	(	(	PUNCT
ejpam-3403	91	41	itln	itln	VERB
ejpam-3403	91	42	ba)m	ba)m	PROPN
ejpam-3403	91	43	m	m	PROPN
ejpam-3403	91	44	!	!	PUNCT
ejpam-3403	91	45	)	)	PUNCT
ejpam-3403	92	1	αet(xlnc−	αet(xlnc−	NUM
ejpam-3403	92	2	α	α	PRON
ejpam-3403	92	3	2	2	NUM
ejpam-3403	92	4	lnab	lnab	NOUN
ejpam-3403	92	5	)	)	PUNCT
ejpam-3403	93	1	=	=	SYM
ejpam-3403	93	2	tα	tα	PROPN
ejpam-3403	93	3	{	{	PUNCT
ejpam-3403	93	4	∑	∑	ADV
ejpam-3403	93	5	n≥0	n≥0	ADJ
ejpam-3403	93	6	∑	∑	ADV
ejpam-3403	93	7	m1+···+mα	m1+···+mα	NOUN
ejpam-3403	93	8	=	=	SYM
ejpam-3403	93	9	n	n	NOUN
ejpam-3403	93	10	(	(	PUNCT
ejpam-3403	93	11	n	n	X
ejpam-3403	93	12	m1	m1	NOUN
ejpam-3403	93	13	,	,	PUNCT
ejpam-3403	93	14	·	·	PUNCT
ejpam-3403	93	15	·	·	PUNCT
ejpam-3403	93	16	·	·	PUNCT
ejpam-3403	93	17	,	,	PUNCT
ejpam-3403	93	18	mα	mα	PROPN
ejpam-3403	93	19	)	)	PUNCT
ejpam-3403	93	20	e(il(1)ln	e(il(1)ln	PROPN
ejpam-3403	93	21	b	b	NOUN
ejpam-3403	93	22	a	a	PRON
ejpam-3403	93	23	)	)	PUNCT
ejpam-3403	93	24	m1	m1	NOUN
ejpam-3403	93	25	·	·	PUNCT
ejpam-3403	93	26	·	·	PUNCT
ejpam-3403	93	27	·	·	PUNCT
ejpam-3403	93	28	e(il(α)ln	e(il(α)ln	PROPN
ejpam-3403	93	29	b	b	PROPN
ejpam-3403	93	30	a	a	PRON
ejpam-3403	93	31	)	)	PUNCT
ejpam-3403	93	32	mα	mα	PROPN
ejpam-3403	93	33	tn	tn	PROPN
ejpam-3403	93	34	n	n	PROPN
ejpam-3403	93	35	!	!	PUNCT
ejpam-3403	93	36	}	}	PUNCT
ejpam-3403	93	37	×	×	NOUN
ejpam-3403	93	38	{	{	PUNCT
ejpam-3403	93	39	∑	∑	ADV
ejpam-3403	93	40	n≥0	n≥0	PROPN
ejpam-3403	93	41	(	(	PUNCT
ejpam-3403	93	42	xlnc−	xlnc−	PROPN
ejpam-3403	93	43	α	α	PROPN
ejpam-3403	93	44	2	2	NUM
ejpam-3403	93	45	lnab)n	lnab)n	PROPN
ejpam-3403	93	46	tn	tn	PROPN
ejpam-3403	93	47	n	n	PROPN
ejpam-3403	93	48	!	!	PUNCT
ejpam-3403	93	49	}	}	PUNCT
ejpam-3403	94	1	=	=	SYM
ejpam-3403	94	2	tα	tα	NOUN
ejpam-3403	94	3	∑	∑	PUNCT
ejpam-3403	94	4	n≥0	n≥0	PROPN
ejpam-3403	94	5	e(il(1)ln	e(il(1)ln	PROPN
ejpam-3403	94	6	b	b	PROPN
ejpam-3403	94	7	a	a	DET
ejpam-3403	94	8	+	+	X
ejpam-3403	94	9	·	·	PUNCT
ejpam-3403	94	10	·	·	PUNCT
ejpam-3403	94	11	·	·	PUNCT
ejpam-3403	94	12	+	+	NUM
ejpam-3403	94	13	il(α)ln	il(α)ln	PROPN
ejpam-3403	94	14	b	b	PROPN
ejpam-3403	94	15	a	a	NOUN
ejpam-3403	94	16	)	)	PUNCT
ejpam-3403	94	17	n	n	PRON
ejpam-3403	94	18	tn	tn	PROPN
ejpam-3403	94	19	n	n	CCONJ
ejpam-3403	94	20	!	!	PUNCT
ejpam-3403	94	21	∑	∑	PUNCT
ejpam-3403	95	1	n≥0	n≥0	PROPN
ejpam-3403	95	2	(	(	PUNCT
ejpam-3403	95	3	xlnc−	xlnc−	PROPN
ejpam-3403	95	4	α	α	PROPN
ejpam-3403	95	5	2	2	NUM
ejpam-3403	95	6	lnab)n	lnab)n	PROPN
ejpam-3403	95	7	tn	tn	PROPN
ejpam-3403	95	8	n	n	PROPN
ejpam-3403	95	9	!	!	PUNCT
ejpam-3403	95	10	=	=	PUNCT
ejpam-3403	96	1	∑	∑	PUNCT
ejpam-3403	96	2	n≥0	n≥0	PROPN
ejpam-3403	96	3	n∑	n∑	PROPN
ejpam-3403	96	4	k=0	k=0	PROPN
ejpam-3403	96	5	(	(	PUNCT
ejpam-3403	96	6	n	n	X
ejpam-3403	96	7	k	k	NOUN
ejpam-3403	96	8	)	)	PUNCT
ejpam-3403	96	9	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	96	10	)	)	PUNCT
ejpam-3403	96	11	+	+	NUM
ejpam-3403	96	12	·	·	PUNCT
ejpam-3403	96	13	·	·	PUNCT
ejpam-3403	96	14	·	·	PUNCT
ejpam-3403	97	1	+	+	NUM
ejpam-3403	97	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	97	3	b	b	X
ejpam-3403	97	4	a	a	DET
ejpam-3403	97	5	]	]	X
ejpam-3403	97	6	k(xlnc−	k(xlnc−	X
ejpam-3403	97	7	α	α	NOUN
ejpam-3403	97	8	2	2	NUM
ejpam-3403	97	9	lnab)n−k	lnab)n−k	PROPN
ejpam-3403	97	10	tn+α	tn+α	PROPN
ejpam-3403	97	11	n	n	CCONJ
ejpam-3403	97	12	!	!	PUNCT
ejpam-3403	97	13	=	=	PUNCT
ejpam-3403	98	1	∑	∑	PUNCT
ejpam-3403	98	2	n≥0	n≥0	PROPN
ejpam-3403	98	3	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	98	4	)	)	PUNCT
ejpam-3403	98	5	+	+	NUM
ejpam-3403	98	6	·	·	PUNCT
ejpam-3403	98	7	·	·	PUNCT
ejpam-3403	98	8	·	·	PUNCT
ejpam-3403	99	1	+	+	NUM
ejpam-3403	99	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	99	3	b	b	X
ejpam-3403	99	4	a	a	PRON
ejpam-3403	99	5	+	+	NUM
ejpam-3403	99	6	xlnc−	xlnc−	ADJ
ejpam-3403	99	7	α	α	NOUN
ejpam-3403	99	8	2	2	NUM
ejpam-3403	99	9	lnab]n	lnab]n	NOUN
ejpam-3403	99	10	tn+α	tn+α	NUM
ejpam-3403	99	11	n	n	CCONJ
ejpam-3403	99	12	!	!	PUNCT
ejpam-3403	99	13	=	=	PUNCT
ejpam-3403	100	1	∑	∑	PUNCT
ejpam-3403	100	2	n≥α	n≥α	NOUN
ejpam-3403	100	3	n	n	X
ejpam-3403	100	4	!	!	PUNCT
ejpam-3403	101	1	(	(	PUNCT
ejpam-3403	101	2	n−	n−	NOUN
ejpam-3403	101	3	α	α	NOUN
ejpam-3403	101	4	)	)	PUNCT
ejpam-3403	101	5	!	!	PUNCT
ejpam-3403	102	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	102	2	)	)	PUNCT
ejpam-3403	103	1	+	+	NUM
ejpam-3403	103	2	·	·	PUNCT
ejpam-3403	103	3	·	·	PUNCT
ejpam-3403	103	4	·	·	PUNCT
ejpam-3403	103	5	+	+	NUM
ejpam-3403	103	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	103	7	b	b	X
ejpam-3403	103	8	a	a	PRON
ejpam-3403	103	9	+	+	NUM
ejpam-3403	103	10	xlnc−	xlnc−	NUM
ejpam-3403	103	11	α	α	NOUN
ejpam-3403	103	12	2	2	NUM
ejpam-3403	103	13	lnab]n−α	lnab]n−α	NUM
ejpam-3403	103	14	tn	tn	NOUN
ejpam-3403	103	15	n	n	CCONJ
ejpam-3403	103	16	!	!	PUNCT
ejpam-3403	103	17	by	by	ADP
ejpam-3403	103	18	comparing	compare	VERB
ejpam-3403	103	19	the	the	DET
ejpam-3403	103	20	coefficients	coefficient	NOUN
ejpam-3403	103	21	tn	tn	PROPN
ejpam-3403	103	22	n	n	PROPN
ejpam-3403	103	23	!	!	PROPN
ejpam-3403	103	24	,	,	PUNCT
ejpam-3403	103	25	we	we	PRON
ejpam-3403	103	26	arrive	arrive	VERB
ejpam-3403	103	27	at	at	ADP
ejpam-3403	103	28	the	the	DET
ejpam-3403	103	29	moment	moment	NOUN
ejpam-3403	103	30	expression	expression	NOUN
ejpam-3403	103	31	of	of	ADP
ejpam-3403	103	32	g	g	PROPN
ejpam-3403	103	33	(	(	PUNCT
ejpam-3403	103	34	α	α	NOUN
ejpam-3403	103	35	)	)	PUNCT
ejpam-3403	103	36	n	n	PROPN
ejpam-3403	103	37	(	(	PUNCT
ejpam-3403	103	38	x	x	X
ejpam-3403	103	39	;	;	PUNCT
ejpam-3403	103	40	a	a	DET
ejpam-3403	103	41	,	,	PUNCT
ejpam-3403	103	42	b	b	NOUN
ejpam-3403	103	43	,	,	PUNCT
ejpam-3403	103	44	c	c	NOUN
ejpam-3403	103	45	)	)	PUNCT
ejpam-3403	103	46	.	.	PUNCT
ejpam-3403	104	1	corollary	corollary	ADJ
ejpam-3403	104	2	1	1	NUM
ejpam-3403	104	3	.	.	PUNCT
ejpam-3403	105	1	taking	take	VERB
ejpam-3403	105	2	x	x	PUNCT
ejpam-3403	105	3	=	=	SYM
ejpam-3403	105	4	0	0	NUM
ejpam-3403	105	5	in	in	ADP
ejpam-3403	105	6	eq.(15	eq.(15	NOUN
ejpam-3403	105	7	)	)	PUNCT
ejpam-3403	105	8	,	,	PUNCT
ejpam-3403	105	9	we	we	PRON
ejpam-3403	105	10	get	get	VERB
ejpam-3403	105	11	the	the	DET
ejpam-3403	105	12	moment	moment	NOUN
ejpam-3403	105	13	representation	representation	NOUN
ejpam-3403	105	14	of	of	ADP
ejpam-3403	105	15	the	the	DET
ejpam-3403	105	16	higherorder	higherorder	NOUN
ejpam-3403	105	17	genocchi	genocchi	NOUN
ejpam-3403	105	18	numbers	number	NOUN
ejpam-3403	105	19	with	with	ADP
ejpam-3403	105	20	a	a	DET
ejpam-3403	105	21	and	and	CCONJ
ejpam-3403	105	22	b	b	NOUN
ejpam-3403	105	23	parameters	parameter	NOUN
ejpam-3403	106	1	g	g	PROPN
ejpam-3403	106	2	(	(	PUNCT
ejpam-3403	106	3	α	α	NOUN
ejpam-3403	106	4	)	)	PUNCT
ejpam-3403	106	5	n	n	CCONJ
ejpam-3403	106	6	(	(	PUNCT
ejpam-3403	106	7	a	a	DET
ejpam-3403	106	8	,	,	PUNCT
ejpam-3403	106	9	b	b	NOUN
ejpam-3403	106	10	)	)	PUNCT
ejpam-3403	106	11	,	,	PUNCT
ejpam-3403	106	12	g(α	g(α	PROPN
ejpam-3403	106	13	)	)	PUNCT
ejpam-3403	106	14	n	n	CCONJ
ejpam-3403	106	15	(	(	PUNCT
ejpam-3403	106	16	0	0	NUM
ejpam-3403	106	17	;	;	PUNCT
ejpam-3403	106	18	a	a	DET
ejpam-3403	106	19	,	,	PUNCT
ejpam-3403	106	20	b	b	NOUN
ejpam-3403	106	21	)	)	PUNCT
ejpam-3403	106	22	=	=	SYM
ejpam-3403	106	23	g(α	g(α	PROPN
ejpam-3403	106	24	)	)	PUNCT
ejpam-3403	106	25	n	n	CCONJ
ejpam-3403	106	26	(	(	PUNCT
ejpam-3403	106	27	a	a	DET
ejpam-3403	106	28	,	,	PUNCT
ejpam-3403	106	29	b	b	NOUN
ejpam-3403	106	30	)	)	PUNCT
ejpam-3403	106	31	=	=	SYM
ejpam-3403	106	32	n	n	X
ejpam-3403	106	33	!	!	PUNCT
ejpam-3403	107	1	(	(	PUNCT
ejpam-3403	107	2	n−	n−	NOUN
ejpam-3403	107	3	α	α	NOUN
ejpam-3403	107	4	)	)	PUNCT
ejpam-3403	107	5	!	!	PUNCT
ejpam-3403	108	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	108	2	)	)	PUNCT
ejpam-3403	109	1	+	+	NUM
ejpam-3403	110	1	·	·	PUNCT
ejpam-3403	110	2	·	·	PUNCT
ejpam-3403	110	3	·	·	PUNCT
ejpam-3403	110	4	+	+	NUM
ejpam-3403	110	5	l(α))ln	l(α))ln	PROPN
ejpam-3403	110	6	b	b	X
ejpam-3403	110	7	a	a	DET
ejpam-3403	110	8	−	−	NOUN
ejpam-3403	110	9	α	α	NOUN
ejpam-3403	110	10	2	2	NUM
ejpam-3403	110	11	lnab]n−α	lnab]n−α	NOUN
ejpam-3403	110	12	,	,	PUNCT
ejpam-3403	110	13	(	(	PUNCT
ejpam-3403	110	14	n	n	CCONJ
ejpam-3403	110	15	≥	≥	NOUN
ejpam-3403	110	16	α	α	NOUN
ejpam-3403	110	17	)	)	PUNCT
ejpam-3403	110	18	.	.	PUNCT
ejpam-3403	111	1	(	(	PUNCT
ejpam-3403	111	2	19	19	NUM
ejpam-3403	111	3	)	)	PUNCT
ejpam-3403	111	4	for	for	ADP
ejpam-3403	111	5	a	a	DET
ejpam-3403	111	6	=	=	SYM
ejpam-3403	111	7	1	1	NUM
ejpam-3403	111	8	,	,	PUNCT
ejpam-3403	111	9	b	b	NOUN
ejpam-3403	111	10	=	=	SYM
ejpam-3403	111	11	e	e	NOUN
ejpam-3403	111	12	in	in	ADP
ejpam-3403	111	13	eq.(19	eq.(19	NOUN
ejpam-3403	111	14	)	)	PUNCT
ejpam-3403	111	15	,	,	PUNCT
ejpam-3403	111	16	we	we	PRON
ejpam-3403	111	17	get	get	VERB
ejpam-3403	111	18	the	the	DET
ejpam-3403	111	19	moment	moment	NOUN
ejpam-3403	111	20	representation	representation	NOUN
ejpam-3403	111	21	of	of	ADP
ejpam-3403	111	22	the	the	DET
ejpam-3403	111	23	higher	high	ADJ
ejpam-3403	111	24	-	-	PUNCT
ejpam-3403	111	25	order	order	NOUN
ejpam-3403	111	26	genocchi	genocchi	NOUN
ejpam-3403	111	27	numbers	number	VERB
ejpam-3403	111	28	g	g	PROPN
ejpam-3403	111	29	(	(	PUNCT
ejpam-3403	111	30	α	α	NOUN
ejpam-3403	111	31	)	)	PUNCT
ejpam-3403	111	32	n	n	NOUN
ejpam-3403	111	33	,	,	PUNCT
ejpam-3403	111	34	g(α	g(α	PROPN
ejpam-3403	111	35	)	)	PUNCT
ejpam-3403	111	36	n	n	CCONJ
ejpam-3403	111	37	(	(	PUNCT
ejpam-3403	111	38	1	1	NUM
ejpam-3403	111	39	,	,	PUNCT
ejpam-3403	111	40	e	e	NOUN
ejpam-3403	111	41	)	)	PUNCT
ejpam-3403	111	42	=	=	SYM
ejpam-3403	111	43	g(α	g(α	PROPN
ejpam-3403	111	44	)	)	PUNCT
ejpam-3403	111	45	n	n	NOUN
ejpam-3403	111	46	=	=	SYM
ejpam-3403	111	47	n	n	X
ejpam-3403	111	48	!	!	PUNCT
ejpam-3403	112	1	(	(	PUNCT
ejpam-3403	112	2	n−	n−	NOUN
ejpam-3403	112	3	α	α	NOUN
ejpam-3403	112	4	)	)	PUNCT
ejpam-3403	112	5	!	!	PUNCT
ejpam-3403	113	1	e(il(1	e(il(1	X
ejpam-3403	113	2	)	)	PUNCT
ejpam-3403	114	1	+	+	CCONJ
ejpam-3403	114	2	·	·	PUNCT
ejpam-3403	114	3	·	·	PUNCT
ejpam-3403	114	4	·	·	PUNCT
ejpam-3403	114	5	+	+	NUM
ejpam-3403	114	6	il(α	il(α	NOUN
ejpam-3403	114	7	)	)	PUNCT
ejpam-3403	114	8	−	−	NOUN
ejpam-3403	114	9	α	α	NOUN
ejpam-3403	114	10	2	2	NUM
ejpam-3403	114	11	)	)	PUNCT
ejpam-3403	114	12	n−α	n−α	NOUN
ejpam-3403	114	13	,	,	PUNCT
ejpam-3403	114	14	(	(	PUNCT
ejpam-3403	114	15	n	n	CCONJ
ejpam-3403	114	16	≥	≥	NOUN
ejpam-3403	114	17	α	α	NOUN
ejpam-3403	114	18	)	)	PUNCT
ejpam-3403	114	19	.	.	PUNCT
ejpam-3403	115	1	(	(	PUNCT
ejpam-3403	115	2	20	20	NUM
ejpam-3403	115	3	)	)	PUNCT
ejpam-3403	115	4	t.	t.	PROPN
ejpam-3403	115	5	hao	hao	PROPN
ejpam-3403	115	6	,	,	PUNCT
ejpam-3403	115	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	115	8	/	/	SYM
ejpam-3403	115	9	eur	eur	PROPN
ejpam-3403	115	10	.	.	PUNCT
ejpam-3403	116	1	j.	j.	PROPN
ejpam-3403	116	2	pure	pure	PROPN
ejpam-3403	116	3	appl	appl	PROPN
ejpam-3403	116	4	.	.	PROPN
ejpam-3403	116	5	math	math	PROPN
ejpam-3403	116	6	,	,	PUNCT
ejpam-3403	116	7	12	12	NUM
ejpam-3403	116	8	(	(	PUNCT
ejpam-3403	116	9	2	2	NUM
ejpam-3403	116	10	)	)	PUNCT
ejpam-3403	116	11	(	(	PUNCT
ejpam-3403	116	12	2019	2019	NUM
ejpam-3403	116	13	)	)	PUNCT
ejpam-3403	116	14	,	,	PUNCT
ejpam-3403	116	15	605	605	NUM
ejpam-3403	116	16	-	-	SYM
ejpam-3403	116	17	621	621	NUM
ejpam-3403	116	18	610	610	NUM
ejpam-3403	116	19	corollary	corollary	ADJ
ejpam-3403	116	20	2	2	NUM
ejpam-3403	116	21	.	.	PUNCT
ejpam-3403	117	1	for	for	ADP
ejpam-3403	117	2	α	α	NOUN
ejpam-3403	117	3	=	=	SYM
ejpam-3403	117	4	1	1	NUM
ejpam-3403	117	5	in	in	ADP
ejpam-3403	117	6	eq.(15	eq.(15	NOUN
ejpam-3403	117	7	)	)	PUNCT
ejpam-3403	117	8	,	,	PUNCT
ejpam-3403	117	9	we	we	PRON
ejpam-3403	117	10	get	get	VERB
ejpam-3403	117	11	the	the	DET
ejpam-3403	117	12	moment	moment	NOUN
ejpam-3403	117	13	representation	representation	NOUN
ejpam-3403	117	14	of	of	ADP
ejpam-3403	117	15	the	the	DET
ejpam-3403	117	16	generalized	generalize	VERB
ejpam-3403	117	17	genocchi	genocchi	NOUN
ejpam-3403	117	18	polynomials	polynomial	NOUN
ejpam-3403	117	19	gn(x	gn(x	PUNCT
ejpam-3403	117	20	;	;	PUNCT
ejpam-3403	117	21	a	a	DET
ejpam-3403	117	22	,	,	PUNCT
ejpam-3403	117	23	b	b	NOUN
ejpam-3403	117	24	,	,	PUNCT
ejpam-3403	117	25	c	c	NOUN
ejpam-3403	117	26	)	)	PUNCT
ejpam-3403	117	27	,	,	PUNCT
ejpam-3403	117	28	g(1	g(1	NOUN
ejpam-3403	117	29	)	)	PUNCT
ejpam-3403	117	30	n	n	CCONJ
ejpam-3403	117	31	(	(	PUNCT
ejpam-3403	117	32	x	x	X
ejpam-3403	117	33	;	;	PUNCT
ejpam-3403	117	34	a	a	DET
ejpam-3403	117	35	,	,	PUNCT
ejpam-3403	117	36	b	b	NOUN
ejpam-3403	117	37	,	,	PUNCT
ejpam-3403	117	38	c	c	NOUN
ejpam-3403	117	39	)	)	PUNCT
ejpam-3403	117	40	=	=	NOUN
ejpam-3403	118	1	gn(x	gn(x	X
ejpam-3403	118	2	;	;	PUNCT
ejpam-3403	118	3	a	a	DET
ejpam-3403	118	4	,	,	PUNCT
ejpam-3403	118	5	b	b	NOUN
ejpam-3403	118	6	,	,	PUNCT
ejpam-3403	118	7	c	c	NOUN
ejpam-3403	118	8	)	)	PUNCT
ejpam-3403	118	9	=	=	PUNCT
ejpam-3403	119	1	ne(illn	ne(illn	PROPN
ejpam-3403	119	2	b	b	PROPN
ejpam-3403	119	3	a	a	PRON
ejpam-3403	119	4	+	+	NOUN
ejpam-3403	119	5	xlnc−	xlnc−	NUM
ejpam-3403	119	6	1	1	NUM
ejpam-3403	119	7	2	2	NUM
ejpam-3403	119	8	lnab)n−1	lnab)n−1	X
ejpam-3403	119	9	,	,	PUNCT
ejpam-3403	119	10	(	(	PUNCT
ejpam-3403	119	11	n	n	CCONJ
ejpam-3403	119	12	≥	≥	NOUN
ejpam-3403	119	13	1	1	NUM
ejpam-3403	119	14	)	)	PUNCT
ejpam-3403	119	15	.	.	PUNCT
ejpam-3403	120	1	(	(	PUNCT
ejpam-3403	120	2	21	21	NUM
ejpam-3403	120	3	)	)	PUNCT
ejpam-3403	120	4	corollary	corollary	ADJ
ejpam-3403	120	5	3	3	NUM
ejpam-3403	120	6	.	.	PUNCT
ejpam-3403	121	1	setting	set	VERB
ejpam-3403	121	2	a	a	DET
ejpam-3403	121	3	=	=	SYM
ejpam-3403	121	4	1	1	NUM
ejpam-3403	121	5	,	,	PUNCT
ejpam-3403	121	6	b	b	NOUN
ejpam-3403	121	7	=	=	SYM
ejpam-3403	121	8	e	e	NOUN
ejpam-3403	121	9	,	,	PUNCT
ejpam-3403	121	10	c	c	X
ejpam-3403	121	11	=	=	SYM
ejpam-3403	121	12	e	e	PROPN
ejpam-3403	121	13	in	in	ADP
ejpam-3403	121	14	eq.(15	eq.(15	NOUN
ejpam-3403	121	15	)	)	PUNCT
ejpam-3403	121	16	,	,	PUNCT
ejpam-3403	121	17	we	we	PRON
ejpam-3403	121	18	get	get	VERB
ejpam-3403	121	19	the	the	DET
ejpam-3403	121	20	moment	moment	NOUN
ejpam-3403	121	21	representation	representation	NOUN
ejpam-3403	121	22	of	of	ADP
ejpam-3403	121	23	the	the	DET
ejpam-3403	121	24	higher	high	ADJ
ejpam-3403	121	25	-	-	PUNCT
ejpam-3403	121	26	order	order	NOUN
ejpam-3403	121	27	genocchi	genocchi	NOUN
ejpam-3403	121	28	polynomials	polynomial	VERB
ejpam-3403	121	29	g	g	PROPN
ejpam-3403	121	30	(	(	PUNCT
ejpam-3403	121	31	α	α	NOUN
ejpam-3403	121	32	)	)	PUNCT
ejpam-3403	121	33	n	n	PROPN
ejpam-3403	121	34	(	(	PUNCT
ejpam-3403	121	35	x	x	NOUN
ejpam-3403	121	36	)	)	PUNCT
ejpam-3403	121	37	,	,	PUNCT
ejpam-3403	121	38	g(α	g(α	PROPN
ejpam-3403	121	39	)	)	PUNCT
ejpam-3403	121	40	n	n	CCONJ
ejpam-3403	121	41	(	(	PUNCT
ejpam-3403	121	42	x	x	X
ejpam-3403	121	43	;	;	PUNCT
ejpam-3403	121	44	1	1	NUM
ejpam-3403	121	45	,	,	PUNCT
ejpam-3403	121	46	e	e	NOUN
ejpam-3403	121	47	,	,	PUNCT
ejpam-3403	121	48	e	e	NOUN
ejpam-3403	121	49	)	)	PUNCT
ejpam-3403	121	50	=	=	SYM
ejpam-3403	121	51	g(α	g(α	PROPN
ejpam-3403	121	52	)	)	PUNCT
ejpam-3403	121	53	n	n	CCONJ
ejpam-3403	121	54	(	(	PUNCT
ejpam-3403	121	55	x	x	X
ejpam-3403	121	56	)	)	PUNCT
ejpam-3403	121	57	=	=	SYM
ejpam-3403	121	58	n	n	X
ejpam-3403	121	59	!	!	PUNCT
ejpam-3403	122	1	(	(	PUNCT
ejpam-3403	122	2	n−	n−	NOUN
ejpam-3403	122	3	α	α	NOUN
ejpam-3403	122	4	)	)	PUNCT
ejpam-3403	122	5	!	!	PUNCT
ejpam-3403	123	1	e[il(1	e[il(1	X
ejpam-3403	123	2	)	)	PUNCT
ejpam-3403	124	1	+	+	CCONJ
ejpam-3403	124	2	·	·	PUNCT
ejpam-3403	124	3	·	·	PUNCT
ejpam-3403	124	4	·	·	PUNCT
ejpam-3403	124	5	+	+	NUM
ejpam-3403	124	6	il(α	il(α	NUM
ejpam-3403	124	7	)	)	PUNCT
ejpam-3403	125	1	+	+	CCONJ
ejpam-3403	125	2	x−	x−	PROPN
ejpam-3403	125	3	α	α	PROPN
ejpam-3403	125	4	2	2	NUM
ejpam-3403	125	5	]	]	SYM
ejpam-3403	125	6	n−α	n−α	NOUN
ejpam-3403	125	7	,	,	PUNCT
ejpam-3403	125	8	(	(	PUNCT
ejpam-3403	125	9	n	n	CCONJ
ejpam-3403	125	10	≥	≥	NOUN
ejpam-3403	125	11	α	α	NOUN
ejpam-3403	125	12	)	)	PUNCT
ejpam-3403	125	13	.	.	PUNCT
ejpam-3403	126	1	(	(	PUNCT
ejpam-3403	126	2	22	22	NUM
ejpam-3403	126	3	)	)	PUNCT
ejpam-3403	126	4	corollary	corollary	NOUN
ejpam-3403	126	5	4	4	NUM
ejpam-3403	126	6	.	.	PUNCT
ejpam-3403	127	1	we	we	PRON
ejpam-3403	127	2	can	can	AUX
ejpam-3403	127	3	easily	easily	ADV
ejpam-3403	127	4	obtain	obtain	VERB
ejpam-3403	127	5	the	the	DET
ejpam-3403	127	6	moment	moment	NOUN
ejpam-3403	127	7	representation	representation	NOUN
ejpam-3403	127	8	of	of	ADP
ejpam-3403	127	9	the	the	DET
ejpam-3403	127	10	generalized	generalized	ADJ
ejpam-3403	127	11	higherorder	higherorder	NOUN
ejpam-3403	127	12	euler	euler	NOUN
ejpam-3403	127	13	polynomials	polynomial	NOUN
ejpam-3403	127	14	and	and	CCONJ
ejpam-3403	127	15	get	get	VERB
ejpam-3403	127	16	the	the	DET
ejpam-3403	127	17	relation	relation	NOUN
ejpam-3403	127	18	between	between	ADP
ejpam-3403	127	19	generalized	generalized	ADJ
ejpam-3403	127	20	higher	high	ADJ
ejpam-3403	127	21	-	-	PUNCT
ejpam-3403	127	22	order	order	NOUN
ejpam-3403	127	23	euler	euler	NOUN
ejpam-3403	127	24	polynomials	polynomial	NOUN
ejpam-3403	127	25	and	and	CCONJ
ejpam-3403	127	26	generalized	generalize	VERB
ejpam-3403	127	27	higher	high	ADJ
ejpam-3403	127	28	-	-	PUNCT
ejpam-3403	127	29	order	order	NOUN
ejpam-3403	127	30	gennocchi	gennocchi	NOUN
ejpam-3403	127	31	polynomials	polynomial	NOUN
ejpam-3403	127	32	in	in	ADP
ejpam-3403	127	33	the	the	DET
ejpam-3403	127	34	proof	proof	NOUN
ejpam-3403	127	35	of	of	ADP
ejpam-3403	127	36	theorem	theorem	ADJ
ejpam-3403	127	37	1	1	NUM
ejpam-3403	127	38	,	,	PUNCT
ejpam-3403	127	39	e(α	e(α	NUM
ejpam-3403	127	40	)	)	PUNCT
ejpam-3403	127	41	n	n	CCONJ
ejpam-3403	127	42	(	(	PUNCT
ejpam-3403	127	43	x	x	X
ejpam-3403	127	44	;	;	PUNCT
ejpam-3403	127	45	a	a	DET
ejpam-3403	127	46	,	,	PUNCT
ejpam-3403	127	47	b	b	NOUN
ejpam-3403	127	48	,	,	PUNCT
ejpam-3403	127	49	c	c	NOUN
ejpam-3403	127	50	)	)	PUNCT
ejpam-3403	127	51	=	=	SYM
ejpam-3403	127	52	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	127	53	)	)	PUNCT
ejpam-3403	127	54	+	+	NUM
ejpam-3403	127	55	·	·	PUNCT
ejpam-3403	127	56	·	·	PUNCT
ejpam-3403	127	57	·	·	PUNCT
ejpam-3403	128	1	+	+	NUM
ejpam-3403	128	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	128	3	b	b	X
ejpam-3403	128	4	a	a	DET
ejpam-3403	128	5	+	+	NUM
ejpam-3403	128	6	xlnc−	xlnc−	ADJ
ejpam-3403	128	7	α	α	NOUN
ejpam-3403	128	8	2	2	NUM
ejpam-3403	128	9	lnab]n	lnab]n	NOUN
ejpam-3403	128	10	,	,	PUNCT
ejpam-3403	128	11	(	(	PUNCT
ejpam-3403	128	12	23	23	NUM
ejpam-3403	128	13	)	)	PUNCT
ejpam-3403	128	14	g(α	g(α	PROPN
ejpam-3403	128	15	)	)	PUNCT
ejpam-3403	128	16	n	n	CCONJ
ejpam-3403	128	17	(	(	PUNCT
ejpam-3403	128	18	x	x	X
ejpam-3403	128	19	;	;	PUNCT
ejpam-3403	128	20	a	a	DET
ejpam-3403	128	21	,	,	PUNCT
ejpam-3403	128	22	b	b	NOUN
ejpam-3403	128	23	,	,	PUNCT
ejpam-3403	128	24	c	c	NOUN
ejpam-3403	128	25	)	)	PUNCT
ejpam-3403	128	26	=	=	SYM
ejpam-3403	128	27	n	n	X
ejpam-3403	128	28	!	!	PUNCT
ejpam-3403	129	1	(	(	PUNCT
ejpam-3403	129	2	n−	n−	NOUN
ejpam-3403	129	3	α	α	NOUN
ejpam-3403	129	4	)	)	PUNCT
ejpam-3403	129	5	!	!	PUNCT
ejpam-3403	130	1	e	e	X
ejpam-3403	130	2	(	(	PUNCT
ejpam-3403	130	3	α	α	NOUN
ejpam-3403	130	4	)	)	PUNCT
ejpam-3403	130	5	n−α(x	n−α(x	NOUN
ejpam-3403	130	6	;	;	PUNCT
ejpam-3403	130	7	a	a	DET
ejpam-3403	130	8	,	,	PUNCT
ejpam-3403	130	9	b	b	NOUN
ejpam-3403	130	10	,	,	PUNCT
ejpam-3403	130	11	c	c	NOUN
ejpam-3403	130	12	)	)	PUNCT
ejpam-3403	130	13	,	,	PUNCT
ejpam-3403	130	14	(	(	PUNCT
ejpam-3403	130	15	n	n	CCONJ
ejpam-3403	130	16	≥	≥	NOUN
ejpam-3403	130	17	α	α	NOUN
ejpam-3403	130	18	)	)	PUNCT
ejpam-3403	130	19	.	.	PUNCT
ejpam-3403	131	1	(	(	PUNCT
ejpam-3403	131	2	24	24	NUM
ejpam-3403	131	3	)	)	PUNCT
ejpam-3403	131	4	the	the	DET
ejpam-3403	131	5	generalized	generalize	VERB
ejpam-3403	131	6	higher	high	ADJ
ejpam-3403	131	7	-	-	PUNCT
ejpam-3403	131	8	order	order	NOUN
ejpam-3403	131	9	euler	euler	NOUN
ejpam-3403	131	10	polynomials	polynomial	NOUN
ejpam-3403	131	11	and	and	CCONJ
ejpam-3403	131	12	the	the	DET
ejpam-3403	131	13	generalized	generalized	ADJ
ejpam-3403	131	14	higher	high	ADJ
ejpam-3403	131	15	-	-	PUNCT
ejpam-3403	131	16	order	order	NOUN
ejpam-3403	131	17	genocchi	genocchi	NOUN
ejpam-3403	131	18	polynomials	polynomial	NOUN
ejpam-3403	131	19	have	have	VERB
ejpam-3403	131	20	similar	similar	ADJ
ejpam-3403	131	21	properties	property	NOUN
ejpam-3403	131	22	and	and	CCONJ
ejpam-3403	131	23	forms	form	NOUN
ejpam-3403	131	24	,	,	PUNCT
ejpam-3403	131	25	we	we	PRON
ejpam-3403	131	26	only	only	ADV
ejpam-3403	131	27	aim	aim	VERB
ejpam-3403	131	28	at	at	ADP
ejpam-3403	131	29	the	the	DET
ejpam-3403	131	30	properties	property	NOUN
ejpam-3403	131	31	of	of	ADP
ejpam-3403	131	32	generalized	generalized	ADJ
ejpam-3403	131	33	higher	high	ADJ
ejpam-3403	131	34	-	-	PUNCT
ejpam-3403	131	35	order	order	NOUN
ejpam-3403	131	36	genocchi	genocchi	NOUN
ejpam-3403	131	37	polynomials	polynomial	NOUN
ejpam-3403	131	38	here	here	ADV
ejpam-3403	131	39	.	.	PUNCT
ejpam-3403	132	1	theorem	theorem	VERB
ejpam-3403	132	2	2	2	NUM
ejpam-3403	132	3	.	.	PUNCT
ejpam-3403	132	4	let	let	VERB
ejpam-3403	132	5	a	a	DET
ejpam-3403	132	6	,	,	PUNCT
ejpam-3403	132	7	b	b	NOUN
ejpam-3403	132	8	and	and	CCONJ
ejpam-3403	132	9	c	c	PROPN
ejpam-3403	132	10	be	be	AUX
ejpam-3403	132	11	positive	positive	ADJ
ejpam-3403	132	12	integers	integer	NOUN
ejpam-3403	132	13	with	with	ADP
ejpam-3403	132	14	conditions	condition	NOUN
ejpam-3403	132	15	a	a	PRON
ejpam-3403	132	16	6=	6=	PROPN
ejpam-3403	132	17	b	b	PROPN
ejpam-3403	132	18	,	,	PUNCT
ejpam-3403	132	19	ab	ab	PROPN
ejpam-3403	132	20	6=	6=	ADP
ejpam-3403	132	21	1	1	NUM
ejpam-3403	132	22	and	and	CCONJ
ejpam-3403	132	23	c	c	PROPN
ejpam-3403	132	24	6=	6=	PROPN
ejpam-3403	132	25	1	1	NUM
ejpam-3403	132	26	,	,	PUNCT
ejpam-3403	132	27	for	for	ADP
ejpam-3403	132	28	α	α	PRON
ejpam-3403	132	29	∈	∈	PROPN
ejpam-3403	132	30	n+	n+	PROPN
ejpam-3403	132	31	,	,	PUNCT
ejpam-3403	132	32	x	x	PUNCT
ejpam-3403	132	33	∈	∈	PROPN
ejpam-3403	132	34	r	r	NOUN
ejpam-3403	132	35	,	,	PUNCT
ejpam-3403	132	36	n	n	PRON
ejpam-3403	132	37	≥	≥	NOUN
ejpam-3403	132	38	α	α	NOUN
ejpam-3403	132	39	,	,	PUNCT
ejpam-3403	132	40	then	then	ADV
ejpam-3403	132	41	we	we	PRON
ejpam-3403	132	42	get	get	VERB
ejpam-3403	132	43	g(α	g(α	NOUN
ejpam-3403	132	44	)	)	PUNCT
ejpam-3403	132	45	n	n	CCONJ
ejpam-3403	132	46	(	(	PUNCT
ejpam-3403	132	47	x+	x+	X
ejpam-3403	132	48	α	α	NOUN
ejpam-3403	132	49	;	;	PUNCT
ejpam-3403	132	50	a	a	DET
ejpam-3403	132	51	,	,	PUNCT
ejpam-3403	132	52	b	b	NOUN
ejpam-3403	132	53	,	,	PUNCT
ejpam-3403	132	54	c	c	NOUN
ejpam-3403	132	55	)	)	PUNCT
ejpam-3403	132	56	=	=	SYM
ejpam-3403	132	57	g(α	g(α	PROPN
ejpam-3403	132	58	)	)	PUNCT
ejpam-3403	132	59	n	n	CCONJ
ejpam-3403	132	60	(	(	PUNCT
ejpam-3403	132	61	x	x	X
ejpam-3403	132	62	;	;	PUNCT
ejpam-3403	132	63	a	a	DET
ejpam-3403	132	64	c	c	NOUN
ejpam-3403	132	65	,	,	PUNCT
ejpam-3403	132	66	b	b	PROPN
ejpam-3403	132	67	c	c	X
ejpam-3403	132	68	,	,	PUNCT
ejpam-3403	132	69	c	c	NOUN
ejpam-3403	132	70	)	)	PUNCT
ejpam-3403	132	71	.	.	PUNCT
ejpam-3403	133	1	(	(	PUNCT
ejpam-3403	133	2	25	25	NUM
ejpam-3403	133	3	)	)	PUNCT
ejpam-3403	133	4	proof	proof	NOUN
ejpam-3403	133	5	.	.	PUNCT
ejpam-3403	134	1	in	in	ADP
ejpam-3403	134	2	light	light	NOUN
ejpam-3403	134	3	of	of	ADP
ejpam-3403	134	4	the	the	DET
ejpam-3403	134	5	theorem	theorem	NOUN
ejpam-3403	134	6	1	1	NUM
ejpam-3403	134	7	we	we	PRON
ejpam-3403	134	8	have	have	VERB
ejpam-3403	134	9	g(α	g(α	NOUN
ejpam-3403	134	10	)	)	PUNCT
ejpam-3403	135	1	n	n	CCONJ
ejpam-3403	135	2	(	(	PUNCT
ejpam-3403	135	3	x+	x+	X
ejpam-3403	135	4	α	α	NOUN
ejpam-3403	135	5	;	;	PUNCT
ejpam-3403	135	6	a	a	DET
ejpam-3403	135	7	,	,	PUNCT
ejpam-3403	135	8	b	b	NOUN
ejpam-3403	135	9	,	,	PUNCT
ejpam-3403	135	10	c	c	NOUN
ejpam-3403	135	11	)	)	PUNCT
ejpam-3403	135	12	=	=	SYM
ejpam-3403	135	13	n	n	X
ejpam-3403	135	14	!	!	PUNCT
ejpam-3403	136	1	(	(	PUNCT
ejpam-3403	136	2	n−	n−	NOUN
ejpam-3403	136	3	α	α	NOUN
ejpam-3403	136	4	)	)	PUNCT
ejpam-3403	136	5	!	!	PUNCT
ejpam-3403	137	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	137	2	)	)	PUNCT
ejpam-3403	138	1	+	+	NUM
ejpam-3403	138	2	·	·	PUNCT
ejpam-3403	138	3	·	·	PUNCT
ejpam-3403	138	4	·	·	PUNCT
ejpam-3403	138	5	+	+	NUM
ejpam-3403	138	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	138	7	b	b	X
ejpam-3403	138	8	a	a	PRON
ejpam-3403	138	9	+	+	X
ejpam-3403	138	10	(	(	PUNCT
ejpam-3403	138	11	x+	x+	X
ejpam-3403	138	12	α)lnc−	α)lnc−	ADJ
ejpam-3403	138	13	α	α	NOUN
ejpam-3403	138	14	2	2	NUM
ejpam-3403	138	15	lnab]n−α	lnab]n−α	NUM
ejpam-3403	138	16	=	=	SYM
ejpam-3403	138	17	n	n	X
ejpam-3403	138	18	!	!	PUNCT
ejpam-3403	139	1	(	(	PUNCT
ejpam-3403	139	2	n−	n−	NOUN
ejpam-3403	139	3	α	α	NOUN
ejpam-3403	139	4	)	)	PUNCT
ejpam-3403	139	5	!	!	PUNCT
ejpam-3403	140	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	140	2	)	)	PUNCT
ejpam-3403	141	1	+	+	NUM
ejpam-3403	141	2	·	·	PUNCT
ejpam-3403	141	3	·	·	PUNCT
ejpam-3403	141	4	·	·	PUNCT
ejpam-3403	141	5	+	+	NUM
ejpam-3403	141	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	141	7	b	b	X
ejpam-3403	141	8	a	a	DET
ejpam-3403	141	9	+	+	NOUN
ejpam-3403	141	10	xlnc+	xlnc+	ADJ
ejpam-3403	141	11	α	α	DET
ejpam-3403	141	12	2	2	NUM
ejpam-3403	141	13	lnc2	lnc2	NOUN
ejpam-3403	141	14	−	−	PROPN
ejpam-3403	141	15	α	α	NOUN
ejpam-3403	141	16	2	2	NUM
ejpam-3403	141	17	lnab]n−α	lnab]n−α	NUM
ejpam-3403	141	18	=	=	SYM
ejpam-3403	141	19	n	n	X
ejpam-3403	141	20	!	!	PUNCT
ejpam-3403	142	1	(	(	PUNCT
ejpam-3403	142	2	n−	n−	NOUN
ejpam-3403	142	3	α	α	NOUN
ejpam-3403	142	4	)	)	PUNCT
ejpam-3403	142	5	!	!	PUNCT
ejpam-3403	143	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	143	2	)	)	PUNCT
ejpam-3403	144	1	+	+	NUM
ejpam-3403	145	1	·	·	PUNCT
ejpam-3403	145	2	·	·	PUNCT
ejpam-3403	145	3	·	·	PUNCT
ejpam-3403	145	4	+	+	NUM
ejpam-3403	146	1	l(α))ln	l(α))ln	PROPN
ejpam-3403	146	2	b	b	PROPN
ejpam-3403	146	3	c	c	PROPN
ejpam-3403	146	4	a	a	DET
ejpam-3403	146	5	c	c	NOUN
ejpam-3403	146	6	+	+	CCONJ
ejpam-3403	146	7	xlnc−	xlnc−	PROPN
ejpam-3403	146	8	α	α	NOUN
ejpam-3403	146	9	2	2	NUM
ejpam-3403	146	10	ln	ln	NOUN
ejpam-3403	146	11	a	a	DET
ejpam-3403	146	12	c	c	NOUN
ejpam-3403	146	13	b	b	PROPN
ejpam-3403	146	14	c	c	NOUN
ejpam-3403	146	15	]	]	PUNCT
ejpam-3403	146	16	n−α	n−α	NUM
ejpam-3403	146	17	=	=	SYM
ejpam-3403	146	18	g(α	g(α	PROPN
ejpam-3403	146	19	)	)	PUNCT
ejpam-3403	146	20	n	n	CCONJ
ejpam-3403	146	21	(	(	PUNCT
ejpam-3403	146	22	x	x	X
ejpam-3403	146	23	;	;	PUNCT
ejpam-3403	146	24	a	a	DET
ejpam-3403	146	25	c	c	NOUN
ejpam-3403	146	26	,	,	PUNCT
ejpam-3403	146	27	b	b	PROPN
ejpam-3403	146	28	c	c	X
ejpam-3403	146	29	,	,	PUNCT
ejpam-3403	146	30	c	c	NOUN
ejpam-3403	146	31	)	)	PUNCT
ejpam-3403	146	32	.	.	PUNCT
ejpam-3403	147	1	this	this	PRON
ejpam-3403	147	2	concludes	conclude	VERB
ejpam-3403	147	3	the	the	DET
ejpam-3403	147	4	proof	proof	NOUN
ejpam-3403	147	5	.	.	PUNCT
ejpam-3403	148	1	theorem	theorem	NOUN
ejpam-3403	148	2	3	3	X
ejpam-3403	148	3	.	.	PUNCT
ejpam-3403	149	1	let	let	VERB
ejpam-3403	149	2	a	a	DET
ejpam-3403	149	3	,	,	PUNCT
ejpam-3403	149	4	b	b	NOUN
ejpam-3403	149	5	and	and	CCONJ
ejpam-3403	149	6	c	c	PROPN
ejpam-3403	149	7	be	be	AUX
ejpam-3403	149	8	positive	positive	ADJ
ejpam-3403	149	9	integers	integer	NOUN
ejpam-3403	149	10	with	with	ADP
ejpam-3403	149	11	conditions	condition	NOUN
ejpam-3403	149	12	a	a	PRON
ejpam-3403	149	13	6=	6=	PROPN
ejpam-3403	149	14	b	b	PROPN
ejpam-3403	149	15	,	,	PUNCT
ejpam-3403	149	16	ab	ab	PROPN
ejpam-3403	149	17	6=	6=	ADP
ejpam-3403	149	18	1	1	NUM
ejpam-3403	149	19	and	and	CCONJ
ejpam-3403	149	20	c	c	PROPN
ejpam-3403	149	21	6=	6=	PROPN
ejpam-3403	149	22	1	1	NUM
ejpam-3403	149	23	,	,	PUNCT
ejpam-3403	149	24	for	for	ADP
ejpam-3403	149	25	α	α	PRON
ejpam-3403	149	26	∈	∈	PROPN
ejpam-3403	149	27	n+	n+	PROPN
ejpam-3403	149	28	,	,	PUNCT
ejpam-3403	149	29	x	x	PUNCT
ejpam-3403	149	30	∈	∈	PROPN
ejpam-3403	149	31	r	r	NOUN
ejpam-3403	149	32	,	,	PUNCT
ejpam-3403	149	33	n	n	PRON
ejpam-3403	149	34	≥	≥	NOUN
ejpam-3403	149	35	α	α	NOUN
ejpam-3403	149	36	,	,	PUNCT
ejpam-3403	149	37	then	then	ADV
ejpam-3403	149	38	we	we	PRON
ejpam-3403	149	39	get	get	VERB
ejpam-3403	149	40	g(α	g(α	NOUN
ejpam-3403	149	41	)	)	PUNCT
ejpam-3403	150	1	n	n	CCONJ
ejpam-3403	150	2	(	(	PUNCT
ejpam-3403	150	3	α−	α−	ADP
ejpam-3403	150	4	x	x	SYM
ejpam-3403	150	5	;	;	PUNCT
ejpam-3403	150	6	a	a	DET
ejpam-3403	150	7	,	,	PUNCT
ejpam-3403	150	8	b	b	NOUN
ejpam-3403	150	9	,	,	PUNCT
ejpam-3403	150	10	c	c	NOUN
ejpam-3403	150	11	)	)	PUNCT
ejpam-3403	151	1	=	=	SYM
ejpam-3403	151	2	(	(	PUNCT
ejpam-3403	151	3	−1)n−αg(α	−1)n−αg(α	PROPN
ejpam-3403	151	4	)	)	PUNCT
ejpam-3403	151	5	n	n	CCONJ
ejpam-3403	151	6	(	(	PUNCT
ejpam-3403	151	7	x	x	X
ejpam-3403	151	8	;	;	PUNCT
ejpam-3403	151	9	c	c	X
ejpam-3403	151	10	a	a	PRON
ejpam-3403	151	11	,	,	PUNCT
ejpam-3403	151	12	c	c	PROPN
ejpam-3403	151	13	b	b	PROPN
ejpam-3403	151	14	,	,	PUNCT
ejpam-3403	151	15	c	c	NOUN
ejpam-3403	151	16	)	)	PUNCT
ejpam-3403	151	17	=	=	SYM
ejpam-3403	151	18	g(α	g(α	PROPN
ejpam-3403	151	19	)	)	PUNCT
ejpam-3403	151	20	n	n	CCONJ
ejpam-3403	151	21	(	(	PUNCT
ejpam-3403	151	22	−x	−x	NOUN
ejpam-3403	151	23	;	;	PUNCT
ejpam-3403	151	24	a	a	DET
ejpam-3403	151	25	c	c	NOUN
ejpam-3403	151	26	,	,	PUNCT
ejpam-3403	151	27	b	b	PROPN
ejpam-3403	151	28	c	c	X
ejpam-3403	151	29	,	,	PUNCT
ejpam-3403	151	30	c	c	NOUN
ejpam-3403	151	31	)	)	PUNCT
ejpam-3403	151	32	.	.	PUNCT
ejpam-3403	152	1	(	(	PUNCT
ejpam-3403	152	2	26	26	NUM
ejpam-3403	152	3	)	)	PUNCT
ejpam-3403	152	4	t.	t.	PROPN
ejpam-3403	152	5	hao	hao	PROPN
ejpam-3403	152	6	,	,	PUNCT
ejpam-3403	152	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	152	8	/	/	SYM
ejpam-3403	152	9	eur	eur	PROPN
ejpam-3403	152	10	.	.	PUNCT
ejpam-3403	153	1	j.	j.	PROPN
ejpam-3403	153	2	pure	pure	PROPN
ejpam-3403	153	3	appl	appl	PROPN
ejpam-3403	153	4	.	.	PROPN
ejpam-3403	153	5	math	math	PROPN
ejpam-3403	153	6	,	,	PUNCT
ejpam-3403	153	7	12	12	NUM
ejpam-3403	153	8	(	(	PUNCT
ejpam-3403	153	9	2	2	NUM
ejpam-3403	153	10	)	)	PUNCT
ejpam-3403	153	11	(	(	PUNCT
ejpam-3403	153	12	2019	2019	NUM
ejpam-3403	153	13	)	)	PUNCT
ejpam-3403	153	14	,	,	PUNCT
ejpam-3403	153	15	605	605	NUM
ejpam-3403	153	16	-	-	SYM
ejpam-3403	153	17	621	621	NUM
ejpam-3403	153	18	611	611	NUM
ejpam-3403	153	19	proof	proof	NOUN
ejpam-3403	153	20	.	.	PUNCT
ejpam-3403	154	1	according	accord	VERB
ejpam-3403	154	2	to	to	ADP
ejpam-3403	154	3	theorem	theorem	NOUN
ejpam-3403	154	4	1	1	NUM
ejpam-3403	154	5	,	,	PUNCT
ejpam-3403	154	6	we	we	PRON
ejpam-3403	154	7	have	have	VERB
ejpam-3403	154	8	g(α	g(α	PROPN
ejpam-3403	154	9	)	)	PUNCT
ejpam-3403	154	10	n	n	CCONJ
ejpam-3403	154	11	(	(	PUNCT
ejpam-3403	154	12	α−	α−	ADP
ejpam-3403	154	13	x	x	SYM
ejpam-3403	154	14	;	;	PUNCT
ejpam-3403	154	15	a	a	DET
ejpam-3403	154	16	,	,	PUNCT
ejpam-3403	154	17	b	b	NOUN
ejpam-3403	154	18	,	,	PUNCT
ejpam-3403	154	19	c	c	NOUN
ejpam-3403	154	20	)	)	PUNCT
ejpam-3403	154	21	=	=	SYM
ejpam-3403	154	22	n	n	X
ejpam-3403	154	23	!	!	PUNCT
ejpam-3403	155	1	(	(	PUNCT
ejpam-3403	155	2	n−	n−	NOUN
ejpam-3403	155	3	α	α	NOUN
ejpam-3403	155	4	)	)	PUNCT
ejpam-3403	155	5	!	!	PUNCT
ejpam-3403	156	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	156	2	)	)	PUNCT
ejpam-3403	157	1	+	+	NUM
ejpam-3403	157	2	·	·	PUNCT
ejpam-3403	157	3	·	·	PUNCT
ejpam-3403	157	4	·	·	PUNCT
ejpam-3403	157	5	+	+	NUM
ejpam-3403	157	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	157	7	b	b	X
ejpam-3403	157	8	a	a	PRON
ejpam-3403	157	9	+	+	X
ejpam-3403	157	10	(	(	PUNCT
ejpam-3403	157	11	α−	α−	ADP
ejpam-3403	157	12	x)lnc−	x)lnc−	PROPN
ejpam-3403	157	13	α	α	NOUN
ejpam-3403	157	14	2	2	NUM
ejpam-3403	157	15	lnab]n−α	lnab]n−α	NUM
ejpam-3403	157	16	=	=	SYM
ejpam-3403	157	17	n	n	X
ejpam-3403	157	18	!	!	PUNCT
ejpam-3403	158	1	(	(	PUNCT
ejpam-3403	158	2	n−	n−	NOUN
ejpam-3403	158	3	α	α	NOUN
ejpam-3403	158	4	)	)	PUNCT
ejpam-3403	158	5	!	!	PUNCT
ejpam-3403	159	1	(	(	PUNCT
ejpam-3403	159	2	−1)n−αe[i(l(1	−1)n−αe[i(l(1	NOUN
ejpam-3403	159	3	)	)	PUNCT
ejpam-3403	159	4	+	+	CCONJ
ejpam-3403	159	5	·	·	PUNCT
ejpam-3403	159	6	·	·	PUNCT
ejpam-3403	159	7	·	·	PUNCT
ejpam-3403	160	1	+	+	NUM
ejpam-3403	160	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	160	3	1	1	NUM
ejpam-3403	160	4	b	b	SYM
ejpam-3403	160	5	1	1	NUM
ejpam-3403	160	6	a	a	DET
ejpam-3403	160	7	+	+	CCONJ
ejpam-3403	160	8	xlnc−	xlnc−	ADJ
ejpam-3403	160	9	α	α	PRON
ejpam-3403	160	10	2	2	NUM
ejpam-3403	160	11	lnc2	lnc2	NOUN
ejpam-3403	160	12	−	−	PROPN
ejpam-3403	161	1	α	α	NOUN
ejpam-3403	161	2	2	2	NUM
ejpam-3403	161	3	ln	ln	NOUN
ejpam-3403	161	4	1	1	NUM
ejpam-3403	161	5	ab	ab	NOUN
ejpam-3403	161	6	]	]	PUNCT
ejpam-3403	161	7	n−α	n−α	NUM
ejpam-3403	161	8	=	=	SYM
ejpam-3403	161	9	n	n	X
ejpam-3403	161	10	!	!	PUNCT
ejpam-3403	162	1	(	(	PUNCT
ejpam-3403	162	2	n−	n−	NOUN
ejpam-3403	162	3	α	α	NOUN
ejpam-3403	162	4	)	)	PUNCT
ejpam-3403	162	5	!	!	PUNCT
ejpam-3403	163	1	(	(	PUNCT
ejpam-3403	163	2	−1)n−αe[i(l(1	−1)n−αe[i(l(1	NOUN
ejpam-3403	163	3	)	)	PUNCT
ejpam-3403	163	4	+	+	CCONJ
ejpam-3403	163	5	·	·	PUNCT
ejpam-3403	163	6	·	·	PUNCT
ejpam-3403	163	7	·	·	PUNCT
ejpam-3403	164	1	+	+	NUM
ejpam-3403	165	1	l(α))ln	l(α))ln	PROPN
ejpam-3403	165	2	c	c	PROPN
ejpam-3403	165	3	b	b	PROPN
ejpam-3403	165	4	c	c	PROPN
ejpam-3403	165	5	a	a	PRON
ejpam-3403	165	6	+	+	NUM
ejpam-3403	165	7	xlnc−	xlnc−	NUM
ejpam-3403	165	8	α	α	NOUN
ejpam-3403	165	9	2	2	NUM
ejpam-3403	165	10	ln	ln	NOUN
ejpam-3403	165	11	c	c	PROPN
ejpam-3403	165	12	a	a	DET
ejpam-3403	165	13	c	c	NOUN
ejpam-3403	165	14	b	b	X
ejpam-3403	165	15	]	]	X
ejpam-3403	165	16	n−α	n−α	NOUN
ejpam-3403	165	17	=	=	SYM
ejpam-3403	165	18	(	(	PUNCT
ejpam-3403	165	19	−1)n−αg(α	−1)n−αg(α	PROPN
ejpam-3403	165	20	)	)	PUNCT
ejpam-3403	165	21	n	n	CCONJ
ejpam-3403	165	22	(	(	PUNCT
ejpam-3403	165	23	x	x	X
ejpam-3403	165	24	;	;	PUNCT
ejpam-3403	165	25	c	c	X
ejpam-3403	165	26	a	a	PRON
ejpam-3403	165	27	,	,	PUNCT
ejpam-3403	165	28	c	c	PROPN
ejpam-3403	165	29	b	b	PROPN
ejpam-3403	165	30	,	,	PUNCT
ejpam-3403	165	31	c	c	NOUN
ejpam-3403	165	32	)	)	PUNCT
ejpam-3403	165	33	.	.	PUNCT
ejpam-3403	166	1	on	on	ADP
ejpam-3403	166	2	substituting	substitute	VERB
ejpam-3403	166	3	x	x	PUNCT
ejpam-3403	166	4	with	with	ADP
ejpam-3403	166	5	-x	-x	PUNCT
ejpam-3403	166	6	in	in	ADP
ejpam-3403	166	7	eq.(25	eq.(25	NOUN
ejpam-3403	166	8	)	)	PUNCT
ejpam-3403	166	9	,	,	PUNCT
ejpam-3403	166	10	then	then	ADV
ejpam-3403	166	11	eq.(26	eq.(26	ADV
ejpam-3403	166	12	)	)	PUNCT
ejpam-3403	166	13	arises	arise	VERB
ejpam-3403	166	14	.	.	PUNCT
ejpam-3403	167	1	theorem	theorem	NOUN
ejpam-3403	167	2	4	4	NUM
ejpam-3403	167	3	.	.	PUNCT
ejpam-3403	168	1	let	let	VERB
ejpam-3403	168	2	a	a	DET
ejpam-3403	168	3	,	,	PUNCT
ejpam-3403	168	4	b	b	NOUN
ejpam-3403	168	5	and	and	CCONJ
ejpam-3403	168	6	c	c	PROPN
ejpam-3403	168	7	be	be	AUX
ejpam-3403	168	8	positive	positive	ADJ
ejpam-3403	168	9	integers	integer	NOUN
ejpam-3403	168	10	with	with	ADP
ejpam-3403	168	11	conditions	condition	NOUN
ejpam-3403	168	12	a	a	PRON
ejpam-3403	168	13	6=	6=	PROPN
ejpam-3403	168	14	b	b	PROPN
ejpam-3403	168	15	,	,	PUNCT
ejpam-3403	168	16	ab	ab	PROPN
ejpam-3403	168	17	6=	6=	ADP
ejpam-3403	168	18	1	1	NUM
ejpam-3403	168	19	and	and	CCONJ
ejpam-3403	168	20	c	c	PROPN
ejpam-3403	168	21	6=	6=	PROPN
ejpam-3403	168	22	1	1	NUM
ejpam-3403	168	23	,	,	PUNCT
ejpam-3403	168	24	for	for	ADP
ejpam-3403	168	25	α	α	PRON
ejpam-3403	168	26	∈	∈	PROPN
ejpam-3403	168	27	n+	n+	PROPN
ejpam-3403	168	28	,	,	PUNCT
ejpam-3403	168	29	x	x	PUNCT
ejpam-3403	168	30	∈	∈	PROPN
ejpam-3403	168	31	r	r	NOUN
ejpam-3403	168	32	,	,	PUNCT
ejpam-3403	168	33	n	n	PRON
ejpam-3403	168	34	≥	≥	NOUN
ejpam-3403	168	35	α	α	NOUN
ejpam-3403	168	36	,	,	PUNCT
ejpam-3403	168	37	then	then	ADV
ejpam-3403	168	38	we	we	PRON
ejpam-3403	168	39	get	get	VERB
ejpam-3403	168	40	g(α	g(α	NOUN
ejpam-3403	168	41	)	)	PUNCT
ejpam-3403	169	1	n	n	CCONJ
ejpam-3403	169	2	(	(	PUNCT
ejpam-3403	169	3	−x	−x	NOUN
ejpam-3403	169	4	;	;	PUNCT
ejpam-3403	169	5	a	a	DET
ejpam-3403	169	6	,	,	PUNCT
ejpam-3403	169	7	b	b	NOUN
ejpam-3403	169	8	,	,	PUNCT
ejpam-3403	169	9	c	c	NOUN
ejpam-3403	169	10	)	)	PUNCT
ejpam-3403	169	11	=	=	SYM
ejpam-3403	169	12	g(α	g(α	PROPN
ejpam-3403	169	13	)	)	PUNCT
ejpam-3403	169	14	n	n	CCONJ
ejpam-3403	169	15	(	(	PUNCT
ejpam-3403	169	16	x	x	X
ejpam-3403	169	17	;	;	PUNCT
ejpam-3403	169	18	a	a	DET
ejpam-3403	169	19	,	,	PUNCT
ejpam-3403	169	20	b	b	NOUN
ejpam-3403	169	21	,	,	PUNCT
ejpam-3403	169	22	1	1	NUM
ejpam-3403	169	23	c	c	NOUN
ejpam-3403	169	24	)	)	PUNCT
ejpam-3403	169	25	.	.	PUNCT
ejpam-3403	170	1	(	(	PUNCT
ejpam-3403	170	2	27	27	NUM
ejpam-3403	170	3	)	)	PUNCT
ejpam-3403	170	4	proof	proof	NOUN
ejpam-3403	170	5	.	.	PUNCT
ejpam-3403	171	1	with	with	ADP
ejpam-3403	171	2	the	the	DET
ejpam-3403	171	3	help	help	NOUN
ejpam-3403	171	4	of	of	ADP
ejpam-3403	171	5	theorem	theorem	NOUN
ejpam-3403	171	6	1	1	NUM
ejpam-3403	171	7	we	we	PRON
ejpam-3403	171	8	have	have	VERB
ejpam-3403	171	9	g(α	g(α	NOUN
ejpam-3403	171	10	)	)	PUNCT
ejpam-3403	171	11	n	n	CCONJ
ejpam-3403	171	12	(	(	PUNCT
ejpam-3403	171	13	−x	−x	NOUN
ejpam-3403	171	14	;	;	PUNCT
ejpam-3403	171	15	a	a	DET
ejpam-3403	171	16	,	,	PUNCT
ejpam-3403	171	17	b	b	NOUN
ejpam-3403	171	18	,	,	PUNCT
ejpam-3403	171	19	c	c	NOUN
ejpam-3403	171	20	)	)	PUNCT
ejpam-3403	171	21	=	=	SYM
ejpam-3403	171	22	n	n	X
ejpam-3403	171	23	!	!	PUNCT
ejpam-3403	172	1	(	(	PUNCT
ejpam-3403	172	2	n−	n−	NOUN
ejpam-3403	172	3	α	α	NOUN
ejpam-3403	172	4	)	)	PUNCT
ejpam-3403	172	5	!	!	PUNCT
ejpam-3403	173	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	173	2	)	)	PUNCT
ejpam-3403	174	1	+	+	NUM
ejpam-3403	175	1	·	·	PUNCT
ejpam-3403	175	2	·	·	PUNCT
ejpam-3403	175	3	·	·	PUNCT
ejpam-3403	175	4	+	+	NUM
ejpam-3403	176	1	l(α))ln	l(α))ln	PROPN
ejpam-3403	176	2	b	b	X
ejpam-3403	176	3	a	a	DET
ejpam-3403	176	4	−	−	PROPN
ejpam-3403	176	5	xlnc−	xlnc−	PROPN
ejpam-3403	176	6	α	α	NOUN
ejpam-3403	176	7	2	2	NUM
ejpam-3403	176	8	lnab]n−α	lnab]n−α	NUM
ejpam-3403	176	9	=	=	SYM
ejpam-3403	176	10	n	n	X
ejpam-3403	176	11	!	!	PUNCT
ejpam-3403	177	1	(	(	PUNCT
ejpam-3403	177	2	n−	n−	NOUN
ejpam-3403	177	3	α	α	NOUN
ejpam-3403	177	4	)	)	PUNCT
ejpam-3403	177	5	!	!	PUNCT
ejpam-3403	178	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	178	2	)	)	PUNCT
ejpam-3403	179	1	+	+	NUM
ejpam-3403	179	2	·	·	PUNCT
ejpam-3403	179	3	·	·	PUNCT
ejpam-3403	179	4	·	·	PUNCT
ejpam-3403	179	5	+	+	NUM
ejpam-3403	179	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	179	7	b	b	X
ejpam-3403	179	8	a	a	PRON
ejpam-3403	179	9	+	+	X
ejpam-3403	179	10	xln	xln	PROPN
ejpam-3403	179	11	1	1	NUM
ejpam-3403	179	12	c	c	NOUN
ejpam-3403	179	13	−	−	NOUN
ejpam-3403	179	14	α	α	NOUN
ejpam-3403	179	15	2	2	NUM
ejpam-3403	179	16	lnab]n−α	lnab]n−α	ADJ
ejpam-3403	179	17	=	=	SYM
ejpam-3403	179	18	g(α	g(α	PROPN
ejpam-3403	179	19	)	)	PUNCT
ejpam-3403	179	20	n	n	CCONJ
ejpam-3403	179	21	(	(	PUNCT
ejpam-3403	179	22	x	x	X
ejpam-3403	179	23	;	;	PUNCT
ejpam-3403	179	24	a	a	DET
ejpam-3403	179	25	,	,	PUNCT
ejpam-3403	179	26	b	b	NOUN
ejpam-3403	179	27	,	,	PUNCT
ejpam-3403	179	28	1	1	NUM
ejpam-3403	179	29	c	c	NOUN
ejpam-3403	179	30	)	)	PUNCT
ejpam-3403	179	31	.	.	PUNCT
ejpam-3403	180	1	this	this	PRON
ejpam-3403	180	2	concludes	conclude	VERB
ejpam-3403	180	3	the	the	DET
ejpam-3403	180	4	proof	proof	NOUN
ejpam-3403	180	5	.	.	PUNCT
ejpam-3403	181	1	corollary	corollary	ADJ
ejpam-3403	181	2	5	5	NUM
ejpam-3403	181	3	.	.	PUNCT
ejpam-3403	182	1	taking	take	VERB
ejpam-3403	182	2	α	α	NOUN
ejpam-3403	182	3	=	=	SYM
ejpam-3403	182	4	1	1	NUM
ejpam-3403	182	5	in	in	ADP
ejpam-3403	182	6	eq.(25	eq.(25	NOUN
ejpam-3403	182	7	)	)	PUNCT
ejpam-3403	182	8	,	,	PUNCT
ejpam-3403	182	9	eq.(26	eq.(26	ADV
ejpam-3403	182	10	)	)	PUNCT
ejpam-3403	182	11	,	,	PUNCT
ejpam-3403	182	12	eq.(27	eq.(27	PROPN
ejpam-3403	182	13	)	)	PUNCT
ejpam-3403	182	14	,	,	PUNCT
ejpam-3403	182	15	we	we	PRON
ejpam-3403	182	16	can	can	AUX
ejpam-3403	182	17	easily	easily	ADV
ejpam-3403	182	18	get	get	VERB
ejpam-3403	182	19	the	the	DET
ejpam-3403	182	20	following	follow	VERB
ejpam-3403	182	21	identities	identity	NOUN
ejpam-3403	182	22	,	,	PUNCT
ejpam-3403	182	23	gn(x+	gn(x+	PROPN
ejpam-3403	182	24	1	1	NUM
ejpam-3403	182	25	;	;	PUNCT
ejpam-3403	182	26	a	a	DET
ejpam-3403	182	27	,	,	PUNCT
ejpam-3403	182	28	b	b	NOUN
ejpam-3403	182	29	,	,	PUNCT
ejpam-3403	182	30	c	c	NOUN
ejpam-3403	182	31	)	)	PUNCT
ejpam-3403	182	32	=	=	NOUN
ejpam-3403	183	1	gn(x	gn(x	X
ejpam-3403	183	2	;	;	PUNCT
ejpam-3403	183	3	a	a	DET
ejpam-3403	183	4	c	c	NOUN
ejpam-3403	183	5	,	,	PUNCT
ejpam-3403	183	6	b	b	PROPN
ejpam-3403	183	7	c	c	X
ejpam-3403	183	8	,	,	PUNCT
ejpam-3403	183	9	c	c	NOUN
ejpam-3403	183	10	)	)	PUNCT
ejpam-3403	183	11	,	,	PUNCT
ejpam-3403	183	12	(	(	PUNCT
ejpam-3403	183	13	28	28	NUM
ejpam-3403	183	14	)	)	PUNCT
ejpam-3403	183	15	gn(1−	gn(1−	PROPN
ejpam-3403	183	16	x	x	SYM
ejpam-3403	183	17	;	;	PUNCT
ejpam-3403	183	18	a	a	DET
ejpam-3403	183	19	,	,	PUNCT
ejpam-3403	183	20	b	b	NOUN
ejpam-3403	183	21	,	,	PUNCT
ejpam-3403	183	22	c	c	NOUN
ejpam-3403	183	23	)	)	PUNCT
ejpam-3403	183	24	=	=	SYM
ejpam-3403	183	25	(	(	PUNCT
ejpam-3403	183	26	−1)n−1gn(x	−1)n−1gn(x	X
ejpam-3403	183	27	;	;	PUNCT
ejpam-3403	183	28	c	c	X
ejpam-3403	183	29	a	a	PRON
ejpam-3403	183	30	,	,	PUNCT
ejpam-3403	183	31	c	c	PROPN
ejpam-3403	183	32	b	b	PROPN
ejpam-3403	183	33	,	,	PUNCT
ejpam-3403	183	34	c	c	NOUN
ejpam-3403	183	35	)	)	PUNCT
ejpam-3403	183	36	=	=	SYM
ejpam-3403	183	37	gn(−x	gn(−x	NOUN
ejpam-3403	183	38	;	;	PUNCT
ejpam-3403	183	39	a	a	DET
ejpam-3403	183	40	c	c	NOUN
ejpam-3403	183	41	,	,	PUNCT
ejpam-3403	183	42	b	b	PROPN
ejpam-3403	183	43	c	c	X
ejpam-3403	183	44	,	,	PUNCT
ejpam-3403	183	45	c	c	NOUN
ejpam-3403	183	46	)	)	PUNCT
ejpam-3403	183	47	,	,	PUNCT
ejpam-3403	183	48	(	(	PUNCT
ejpam-3403	183	49	29	29	NUM
ejpam-3403	183	50	)	)	PUNCT
ejpam-3403	183	51	gn(−x	gn(−x	NOUN
ejpam-3403	183	52	;	;	PUNCT
ejpam-3403	183	53	a	a	DET
ejpam-3403	183	54	,	,	PUNCT
ejpam-3403	183	55	b	b	NOUN
ejpam-3403	183	56	,	,	PUNCT
ejpam-3403	183	57	c	c	NOUN
ejpam-3403	183	58	)	)	PUNCT
ejpam-3403	183	59	=	=	NOUN
ejpam-3403	183	60	gn(x	gn(x	X
ejpam-3403	183	61	;	;	PUNCT
ejpam-3403	183	62	a	a	DET
ejpam-3403	183	63	,	,	PUNCT
ejpam-3403	183	64	b	b	NOUN
ejpam-3403	183	65	,	,	PUNCT
ejpam-3403	183	66	1	1	NUM
ejpam-3403	183	67	c	c	NOUN
ejpam-3403	183	68	)	)	PUNCT
ejpam-3403	183	69	.	.	PUNCT
ejpam-3403	184	1	(	(	PUNCT
ejpam-3403	184	2	30	30	NUM
ejpam-3403	184	3	)	)	PUNCT
ejpam-3403	184	4	theorem	theorem	NOUN
ejpam-3403	184	5	5	5	NUM
ejpam-3403	184	6	.	.	PUNCT
ejpam-3403	185	1	let	let	VERB
ejpam-3403	185	2	a	a	DET
ejpam-3403	185	3	,	,	PUNCT
ejpam-3403	185	4	b	b	NOUN
ejpam-3403	185	5	and	and	CCONJ
ejpam-3403	185	6	c	c	PROPN
ejpam-3403	185	7	be	be	AUX
ejpam-3403	185	8	positive	positive	ADJ
ejpam-3403	185	9	integers	integer	NOUN
ejpam-3403	185	10	with	with	ADP
ejpam-3403	185	11	conditions	condition	NOUN
ejpam-3403	185	12	a	a	PRON
ejpam-3403	185	13	6=	6=	PROPN
ejpam-3403	185	14	b	b	PROPN
ejpam-3403	185	15	,	,	PUNCT
ejpam-3403	185	16	ab	ab	PROPN
ejpam-3403	185	17	6=	6=	ADP
ejpam-3403	185	18	1	1	NUM
ejpam-3403	185	19	and	and	CCONJ
ejpam-3403	185	20	c	c	PROPN
ejpam-3403	185	21	6=	6=	PROPN
ejpam-3403	185	22	1	1	NUM
ejpam-3403	185	23	,	,	PUNCT
ejpam-3403	185	24	for	for	ADP
ejpam-3403	185	25	α	α	PRON
ejpam-3403	185	26	∈	∈	PROPN
ejpam-3403	185	27	n+	n+	PROPN
ejpam-3403	185	28	,	,	PUNCT
ejpam-3403	185	29	x	x	PUNCT
ejpam-3403	185	30	∈	∈	PROPN
ejpam-3403	185	31	r	r	NOUN
ejpam-3403	185	32	,	,	PUNCT
ejpam-3403	185	33	n	n	PRON
ejpam-3403	185	34	≥	≥	NOUN
ejpam-3403	185	35	α	α	NOUN
ejpam-3403	185	36	,	,	PUNCT
ejpam-3403	185	37	then	then	ADV
ejpam-3403	185	38	we	we	PRON
ejpam-3403	185	39	get	get	VERB
ejpam-3403	185	40	g(α	g(α	NOUN
ejpam-3403	185	41	)	)	PUNCT
ejpam-3403	186	1	n	n	CCONJ
ejpam-3403	186	2	(	(	PUNCT
ejpam-3403	186	3	x	x	X
ejpam-3403	186	4	;	;	PUNCT
ejpam-3403	186	5	a	a	DET
ejpam-3403	186	6	,	,	PUNCT
ejpam-3403	186	7	b	b	NOUN
ejpam-3403	186	8	,	,	PUNCT
ejpam-3403	186	9	c	c	NOUN
ejpam-3403	186	10	)	)	PUNCT
ejpam-3403	187	1	=	=	SYM
ejpam-3403	187	2	(	(	PUNCT
ejpam-3403	187	3	ln	ln	NOUN
ejpam-3403	187	4	b	b	PROPN
ejpam-3403	187	5	a	a	PRON
ejpam-3403	187	6	)	)	PUNCT
ejpam-3403	187	7	n−αg(α	n−αg(α	NOUN
ejpam-3403	187	8	)	)	PUNCT
ejpam-3403	187	9	n	n	CCONJ
ejpam-3403	187	10	(	(	PUNCT
ejpam-3403	187	11	xlnc−	xlnc−	PROPN
ejpam-3403	187	12	αlna	αlna	PROPN
ejpam-3403	187	13	lnb−	lnb−	PROPN
ejpam-3403	187	14	lna	lna	PROPN
ejpam-3403	187	15	)	)	PUNCT
ejpam-3403	187	16	.	.	PUNCT
ejpam-3403	188	1	(	(	PUNCT
ejpam-3403	188	2	31	31	NUM
ejpam-3403	188	3	)	)	PUNCT
ejpam-3403	188	4	t.	t.	PROPN
ejpam-3403	188	5	hao	hao	PROPN
ejpam-3403	188	6	,	,	PUNCT
ejpam-3403	188	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	188	8	/	/	SYM
ejpam-3403	188	9	eur	eur	PROPN
ejpam-3403	188	10	.	.	PUNCT
ejpam-3403	189	1	j.	j.	PROPN
ejpam-3403	189	2	pure	pure	PROPN
ejpam-3403	189	3	appl	appl	PROPN
ejpam-3403	189	4	.	.	PROPN
ejpam-3403	189	5	math	math	PROPN
ejpam-3403	189	6	,	,	PUNCT
ejpam-3403	189	7	12	12	NUM
ejpam-3403	189	8	(	(	PUNCT
ejpam-3403	189	9	2	2	NUM
ejpam-3403	189	10	)	)	PUNCT
ejpam-3403	189	11	(	(	PUNCT
ejpam-3403	189	12	2019	2019	NUM
ejpam-3403	189	13	)	)	PUNCT
ejpam-3403	189	14	,	,	PUNCT
ejpam-3403	189	15	605	605	NUM
ejpam-3403	189	16	-	-	SYM
ejpam-3403	189	17	621	621	NUM
ejpam-3403	189	18	612	612	NUM
ejpam-3403	189	19	proof	proof	NOUN
ejpam-3403	189	20	.	.	PUNCT
ejpam-3403	190	1	from	from	ADP
ejpam-3403	190	2	theorem	theorem	NOUN
ejpam-3403	190	3	1	1	NUM
ejpam-3403	190	4	we	we	PRON
ejpam-3403	190	5	have	have	VERB
ejpam-3403	190	6	g(α	g(α	NOUN
ejpam-3403	190	7	)	)	PUNCT
ejpam-3403	190	8	n	n	CCONJ
ejpam-3403	190	9	(	(	PUNCT
ejpam-3403	190	10	x	x	X
ejpam-3403	190	11	;	;	PUNCT
ejpam-3403	190	12	a	a	DET
ejpam-3403	190	13	,	,	PUNCT
ejpam-3403	190	14	b	b	NOUN
ejpam-3403	190	15	,	,	PUNCT
ejpam-3403	190	16	c	c	NOUN
ejpam-3403	190	17	)	)	PUNCT
ejpam-3403	190	18	=	=	SYM
ejpam-3403	190	19	n	n	X
ejpam-3403	190	20	!	!	PUNCT
ejpam-3403	191	1	(	(	PUNCT
ejpam-3403	191	2	n−	n−	NOUN
ejpam-3403	191	3	α	α	NOUN
ejpam-3403	191	4	)	)	PUNCT
ejpam-3403	191	5	!	!	PUNCT
ejpam-3403	192	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	192	2	)	)	PUNCT
ejpam-3403	193	1	+	+	NUM
ejpam-3403	193	2	·	·	PUNCT
ejpam-3403	193	3	·	·	PUNCT
ejpam-3403	193	4	·	·	PUNCT
ejpam-3403	193	5	+	+	NUM
ejpam-3403	193	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	193	7	b	b	X
ejpam-3403	193	8	a	a	DET
ejpam-3403	193	9	+	+	NUM
ejpam-3403	193	10	xlnc−	xlnc−	NUM
ejpam-3403	193	11	α	α	NOUN
ejpam-3403	193	12	2	2	NUM
ejpam-3403	193	13	lnab]n−α	lnab]n−α	NUM
ejpam-3403	193	14	=	=	SYM
ejpam-3403	193	15	(	(	PUNCT
ejpam-3403	193	16	ln	ln	NOUN
ejpam-3403	193	17	b	b	PROPN
ejpam-3403	193	18	a	a	NOUN
ejpam-3403	193	19	)	)	PUNCT
ejpam-3403	193	20	n−α	n−α	NOUN
ejpam-3403	193	21	n	n	CCONJ
ejpam-3403	193	22	!	!	PUNCT
ejpam-3403	194	1	(	(	PUNCT
ejpam-3403	194	2	n−	n−	NOUN
ejpam-3403	194	3	α	α	NOUN
ejpam-3403	194	4	)	)	PUNCT
ejpam-3403	194	5	!	!	PUNCT
ejpam-3403	195	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	195	2	)	)	PUNCT
ejpam-3403	196	1	+	+	NUM
ejpam-3403	196	2	·	·	PUNCT
ejpam-3403	196	3	·	·	PUNCT
ejpam-3403	196	4	·	·	PUNCT
ejpam-3403	196	5	+	+	NUM
ejpam-3403	196	6	l(α	l(α	NUM
ejpam-3403	196	7	)	)	PUNCT
ejpam-3403	196	8	)	)	PUNCT
ejpam-3403	197	1	+	+	CCONJ
ejpam-3403	197	2	xlnc	xlnc	PROPN
ejpam-3403	197	3	lnb−	lnb−	PROPN
ejpam-3403	197	4	lna	lna	PROPN
ejpam-3403	198	1	−	−	PROPN
ejpam-3403	199	1	α	α	NOUN
ejpam-3403	199	2	2	2	NUM
ejpam-3403	199	3	lnb+	lnb+	PRON
ejpam-3403	199	4	α	α	NOUN
ejpam-3403	199	5	2	2	NUM
ejpam-3403	199	6	lna	lna	PROPN
ejpam-3403	199	7	lnb−	lnb−	PROPN
ejpam-3403	199	8	lna	lna	PROPN
ejpam-3403	199	9	]	]	PUNCT
ejpam-3403	199	10	n−α	n−α	NUM
ejpam-3403	199	11	=	=	SYM
ejpam-3403	199	12	(	(	PUNCT
ejpam-3403	199	13	ln	ln	NOUN
ejpam-3403	199	14	b	b	PROPN
ejpam-3403	199	15	a	a	NOUN
ejpam-3403	199	16	)	)	PUNCT
ejpam-3403	199	17	n−α	n−α	NOUN
ejpam-3403	199	18	n	n	CCONJ
ejpam-3403	199	19	!	!	PUNCT
ejpam-3403	200	1	(	(	PUNCT
ejpam-3403	200	2	n−	n−	NOUN
ejpam-3403	200	3	α	α	NOUN
ejpam-3403	200	4	)	)	PUNCT
ejpam-3403	200	5	!	!	PUNCT
ejpam-3403	201	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	201	2	)	)	PUNCT
ejpam-3403	202	1	+	+	NUM
ejpam-3403	202	2	·	·	PUNCT
ejpam-3403	202	3	·	·	PUNCT
ejpam-3403	202	4	·	·	PUNCT
ejpam-3403	202	5	+	+	NUM
ejpam-3403	202	6	l(α	l(α	NUM
ejpam-3403	202	7	)	)	PUNCT
ejpam-3403	202	8	)	)	PUNCT
ejpam-3403	203	1	+	+	CCONJ
ejpam-3403	203	2	xlnc	xlnc	PROPN
ejpam-3403	203	3	lnb−	lnb−	PROPN
ejpam-3403	203	4	lna	lna	PROPN
ejpam-3403	204	1	−	−	PROPN
ejpam-3403	205	1	α	α	NOUN
ejpam-3403	205	2	2	2	NUM
ejpam-3403	205	3	lnb−	lnb−	NOUN
ejpam-3403	205	4	α	α	PRON
ejpam-3403	205	5	2	2	NUM
ejpam-3403	205	6	lna+	lna+	PROPN
ejpam-3403	205	7	αlna	αlna	PROPN
ejpam-3403	205	8	lnb−	lnb−	PROPN
ejpam-3403	205	9	lna	lna	PROPN
ejpam-3403	205	10	]	]	PUNCT
ejpam-3403	205	11	n−α	n−α	NUM
ejpam-3403	205	12	=	=	SYM
ejpam-3403	205	13	(	(	PUNCT
ejpam-3403	205	14	ln	ln	NOUN
ejpam-3403	205	15	b	b	PROPN
ejpam-3403	205	16	a	a	NOUN
ejpam-3403	205	17	)	)	PUNCT
ejpam-3403	205	18	n−α	n−α	NOUN
ejpam-3403	205	19	n	n	CCONJ
ejpam-3403	205	20	!	!	PUNCT
ejpam-3403	206	1	(	(	PUNCT
ejpam-3403	206	2	n−	n−	NOUN
ejpam-3403	206	3	α	α	NOUN
ejpam-3403	206	4	)	)	PUNCT
ejpam-3403	206	5	!	!	PUNCT
ejpam-3403	207	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	207	2	)	)	PUNCT
ejpam-3403	208	1	+	+	NUM
ejpam-3403	208	2	·	·	PUNCT
ejpam-3403	208	3	·	·	PUNCT
ejpam-3403	208	4	·	·	PUNCT
ejpam-3403	208	5	+	+	NUM
ejpam-3403	208	6	l(α	l(α	NUM
ejpam-3403	208	7	)	)	PUNCT
ejpam-3403	208	8	)	)	PUNCT
ejpam-3403	209	1	+	+	CCONJ
ejpam-3403	209	2	xlnc−	xlnc−	NUM
ejpam-3403	209	3	αlna	αlna	PROPN
ejpam-3403	209	4	lnb−	lnb−	PROPN
ejpam-3403	209	5	lna	lna	PROPN
ejpam-3403	209	6	−	−	PROPN
ejpam-3403	209	7	α	α	NOUN
ejpam-3403	209	8	2	2	NUM
ejpam-3403	209	9	]	]	SYM
ejpam-3403	209	10	n−α	n−α	NUM
ejpam-3403	209	11	=	=	SYM
ejpam-3403	209	12	(	(	PUNCT
ejpam-3403	209	13	ln	ln	NOUN
ejpam-3403	209	14	b	b	PROPN
ejpam-3403	209	15	a	a	PRON
ejpam-3403	209	16	)	)	PUNCT
ejpam-3403	209	17	n−αg(α	n−αg(α	NOUN
ejpam-3403	209	18	)	)	PUNCT
ejpam-3403	209	19	n	n	CCONJ
ejpam-3403	209	20	(	(	PUNCT
ejpam-3403	209	21	xlnc−	xlnc−	PROPN
ejpam-3403	209	22	αlna	αlna	PROPN
ejpam-3403	209	23	lnb−	lnb−	PROPN
ejpam-3403	209	24	lna	lna	PROPN
ejpam-3403	209	25	)	)	PUNCT
ejpam-3403	209	26	.	.	PUNCT
ejpam-3403	210	1	thus	thus	ADV
ejpam-3403	210	2	we	we	PRON
ejpam-3403	210	3	arrive	arrive	VERB
ejpam-3403	210	4	at	at	ADP
ejpam-3403	210	5	the	the	DET
ejpam-3403	210	6	desired	desire	VERB
ejpam-3403	210	7	result	result	NOUN
ejpam-3403	210	8	.	.	PUNCT
ejpam-3403	211	1	theorem	theorem	ADJ
ejpam-3403	211	2	6	6	NUM
ejpam-3403	211	3	.	.	PUNCT
ejpam-3403	212	1	let	let	VERB
ejpam-3403	212	2	a	a	DET
ejpam-3403	212	3	,	,	PUNCT
ejpam-3403	212	4	b	b	NOUN
ejpam-3403	212	5	and	and	CCONJ
ejpam-3403	212	6	c	c	PROPN
ejpam-3403	212	7	be	be	AUX
ejpam-3403	212	8	positive	positive	ADJ
ejpam-3403	212	9	integers	integer	NOUN
ejpam-3403	212	10	with	with	ADP
ejpam-3403	212	11	conditions	condition	NOUN
ejpam-3403	212	12	a	a	PRON
ejpam-3403	212	13	6=	6=	PROPN
ejpam-3403	212	14	b	b	PROPN
ejpam-3403	212	15	,	,	PUNCT
ejpam-3403	212	16	ab	ab	PROPN
ejpam-3403	212	17	6=	6=	ADP
ejpam-3403	212	18	1	1	NUM
ejpam-3403	212	19	and	and	CCONJ
ejpam-3403	212	20	c	c	PROPN
ejpam-3403	212	21	6=	6=	PROPN
ejpam-3403	212	22	1	1	NUM
ejpam-3403	212	23	,	,	PUNCT
ejpam-3403	212	24	for	for	ADP
ejpam-3403	212	25	α	α	PRON
ejpam-3403	212	26	∈	∈	PROPN
ejpam-3403	212	27	n+	n+	PROPN
ejpam-3403	212	28	,	,	PUNCT
ejpam-3403	212	29	x	x	PUNCT
ejpam-3403	212	30	∈	∈	PROPN
ejpam-3403	212	31	r	r	NOUN
ejpam-3403	212	32	,	,	PUNCT
ejpam-3403	212	33	n	n	PRON
ejpam-3403	212	34	≥	≥	NOUN
ejpam-3403	212	35	α	α	NOUN
ejpam-3403	212	36	,	,	PUNCT
ejpam-3403	212	37	then	then	ADV
ejpam-3403	212	38	we	we	PRON
ejpam-3403	212	39	get	get	VERB
ejpam-3403	212	40	(	(	PUNCT
ejpam-3403	212	41	−1)n−αg(α	−1)n−αg(α	NOUN
ejpam-3403	212	42	)	)	PUNCT
ejpam-3403	212	43	n	n	CCONJ
ejpam-3403	212	44	(	(	PUNCT
ejpam-3403	212	45	x	x	X
ejpam-3403	212	46	;	;	PUNCT
ejpam-3403	212	47	a	a	DET
ejpam-3403	212	48	,	,	PUNCT
ejpam-3403	212	49	b	b	NOUN
ejpam-3403	212	50	,	,	PUNCT
ejpam-3403	212	51	c	c	NOUN
ejpam-3403	212	52	)	)	PUNCT
ejpam-3403	212	53	=	=	SYM
ejpam-3403	213	1	n∑	n∑	NOUN
ejpam-3403	213	2	k	k	X
ejpam-3403	214	1	=	=	NOUN
ejpam-3403	214	2	α	α	X
ejpam-3403	214	3	(	(	PUNCT
ejpam-3403	214	4	n	n	NOUN
ejpam-3403	214	5	k	k	NOUN
ejpam-3403	214	6	)	)	PUNCT
ejpam-3403	214	7	g	g	PROPN
ejpam-3403	214	8	(	(	PUNCT
ejpam-3403	214	9	α	α	NOUN
ejpam-3403	214	10	)	)	PUNCT
ejpam-3403	214	11	k	k	NOUN
ejpam-3403	214	12	(	(	PUNCT
ejpam-3403	214	13	−x	−x	NOUN
ejpam-3403	214	14	;	;	PUNCT
ejpam-3403	214	15	b	b	X
ejpam-3403	214	16	,	,	PUNCT
ejpam-3403	214	17	a	a	PRON
ejpam-3403	214	18	,	,	PUNCT
ejpam-3403	214	19	c)(αlnab)n−k	c)(αlnab)n−k	PROPN
ejpam-3403	214	20	.	.	PUNCT
ejpam-3403	215	1	(	(	PUNCT
ejpam-3403	215	2	32	32	NUM
ejpam-3403	215	3	)	)	PUNCT
ejpam-3403	215	4	proof	proof	NOUN
ejpam-3403	215	5	.	.	PUNCT
ejpam-3403	216	1	from	from	ADP
ejpam-3403	216	2	eq.(15	eq.(15	NOUN
ejpam-3403	216	3	)	)	PUNCT
ejpam-3403	216	4	in	in	ADP
ejpam-3403	216	5	theorem	theorem	NOUN
ejpam-3403	216	6	1	1	NUM
ejpam-3403	216	7	,	,	PUNCT
ejpam-3403	216	8	we	we	PRON
ejpam-3403	216	9	have	have	VERB
ejpam-3403	216	10	(	(	PUNCT
ejpam-3403	216	11	−1)n−αg(α	−1)n−αg(α	PROPN
ejpam-3403	216	12	)	)	PUNCT
ejpam-3403	216	13	n	n	CCONJ
ejpam-3403	216	14	(	(	PUNCT
ejpam-3403	216	15	x	x	X
ejpam-3403	216	16	;	;	PUNCT
ejpam-3403	216	17	a	a	DET
ejpam-3403	216	18	,	,	PUNCT
ejpam-3403	216	19	b	b	NOUN
ejpam-3403	216	20	,	,	PUNCT
ejpam-3403	216	21	c	c	NOUN
ejpam-3403	216	22	)	)	PUNCT
ejpam-3403	216	23	=	=	SYM
ejpam-3403	216	24	n	n	X
ejpam-3403	216	25	!	!	PUNCT
ejpam-3403	217	1	(	(	PUNCT
ejpam-3403	217	2	n−	n−	NOUN
ejpam-3403	217	3	α	α	NOUN
ejpam-3403	217	4	)	)	PUNCT
ejpam-3403	217	5	!	!	PUNCT
ejpam-3403	218	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	218	2	)	)	PUNCT
ejpam-3403	219	1	+	+	NUM
ejpam-3403	219	2	·	·	PUNCT
ejpam-3403	219	3	·	·	PUNCT
ejpam-3403	219	4	·	·	PUNCT
ejpam-3403	219	5	+	+	CCONJ
ejpam-3403	219	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	219	7	a	a	DET
ejpam-3403	219	8	b	b	NOUN
ejpam-3403	219	9	−	−	NOUN
ejpam-3403	219	10	xlnc−	xlnc−	PROPN
ejpam-3403	219	11	α	α	PROPN
ejpam-3403	219	12	2	2	NUM
ejpam-3403	219	13	ln	ln	NOUN
ejpam-3403	219	14	1	1	NUM
ejpam-3403	219	15	ab	ab	NOUN
ejpam-3403	219	16	]	]	PUNCT
ejpam-3403	219	17	n−α	n−α	NUM
ejpam-3403	219	18	=	=	SYM
ejpam-3403	219	19	n	n	X
ejpam-3403	219	20	!	!	PUNCT
ejpam-3403	220	1	(	(	PUNCT
ejpam-3403	220	2	n−	n−	NOUN
ejpam-3403	220	3	α	α	NOUN
ejpam-3403	220	4	)	)	PUNCT
ejpam-3403	220	5	!	!	PUNCT
ejpam-3403	221	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	221	2	)	)	PUNCT
ejpam-3403	222	1	+	+	NUM
ejpam-3403	222	2	·	·	PUNCT
ejpam-3403	222	3	·	·	PUNCT
ejpam-3403	222	4	·	·	PUNCT
ejpam-3403	222	5	+	+	CCONJ
ejpam-3403	222	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	222	7	a	a	DET
ejpam-3403	222	8	b	b	NOUN
ejpam-3403	222	9	−	−	NOUN
ejpam-3403	222	10	xlnc−	xlnc−	PROPN
ejpam-3403	223	1	α	α	PROPN
ejpam-3403	223	2	2	2	NUM
ejpam-3403	223	3	ln	ln	NOUN
ejpam-3403	223	4	1	1	NUM
ejpam-3403	223	5	ab	ab	NOUN
ejpam-3403	223	6	−	−	PROPN
ejpam-3403	223	7	α	α	PROPN
ejpam-3403	223	8	2	2	NUM
ejpam-3403	223	9	ln(ab)2	ln(ab)2	NOUN
ejpam-3403	223	10	+	+	X
ejpam-3403	223	11	α	α	NOUN
ejpam-3403	223	12	2	2	NUM
ejpam-3403	223	13	ln(ab)2]n−α	ln(ab)2]n−α	NOUN
ejpam-3403	223	14	=	=	SYM
ejpam-3403	223	15	n	n	X
ejpam-3403	223	16	!	!	PUNCT
ejpam-3403	224	1	(	(	PUNCT
ejpam-3403	224	2	n−	n−	NOUN
ejpam-3403	224	3	α	α	NOUN
ejpam-3403	224	4	)	)	PUNCT
ejpam-3403	224	5	!	!	PUNCT
ejpam-3403	225	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	225	2	)	)	PUNCT
ejpam-3403	226	1	+	+	NUM
ejpam-3403	226	2	·	·	PUNCT
ejpam-3403	226	3	·	·	PUNCT
ejpam-3403	226	4	·	·	PUNCT
ejpam-3403	226	5	+	+	CCONJ
ejpam-3403	226	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	226	7	a	a	DET
ejpam-3403	226	8	b	b	NOUN
ejpam-3403	226	9	−	−	NOUN
ejpam-3403	226	10	xlnc−	xlnc−	PROPN
ejpam-3403	227	1	α	α	PROPN
ejpam-3403	227	2	2	2	NUM
ejpam-3403	227	3	lnab+	lnab+	X
ejpam-3403	227	4	αlnab]n−α	αlnab]n−α	NUM
ejpam-3403	227	5	=	=	SYM
ejpam-3403	227	6	n	n	CCONJ
ejpam-3403	227	7	!	!	PUNCT
ejpam-3403	228	1	(	(	PUNCT
ejpam-3403	228	2	n−	n−	NOUN
ejpam-3403	228	3	α	α	NOUN
ejpam-3403	228	4	)	)	PUNCT
ejpam-3403	228	5	!	!	PUNCT
ejpam-3403	229	1	n∑	n∑	X
ejpam-3403	230	1	k	k	X
ejpam-3403	231	1	=	=	NOUN
ejpam-3403	231	2	α	α	X
ejpam-3403	231	3	(	(	PUNCT
ejpam-3403	231	4	n−	n−	NOUN
ejpam-3403	231	5	α	α	NOUN
ejpam-3403	231	6	k	k	NOUN
ejpam-3403	231	7	−	−	PROPN
ejpam-3403	231	8	α	α	X
ejpam-3403	231	9	)	)	PUNCT
ejpam-3403	231	10	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	231	11	)	)	PUNCT
ejpam-3403	231	12	+	+	NUM
ejpam-3403	231	13	·	·	PUNCT
ejpam-3403	231	14	·	·	PUNCT
ejpam-3403	231	15	·	·	PUNCT
ejpam-3403	231	16	+	+	CCONJ
ejpam-3403	231	17	l(α))ln	l(α))ln	PROPN
ejpam-3403	231	18	a	a	DET
ejpam-3403	231	19	b	b	NOUN
ejpam-3403	231	20	−	−	NOUN
ejpam-3403	231	21	xlnc−	xlnc−	PROPN
ejpam-3403	231	22	α	α	PROPN
ejpam-3403	231	23	2	2	NUM
ejpam-3403	231	24	lnab]k−α(αlnab)n−k	lnab]k−α(αlnab)n−k	NOUN
ejpam-3403	231	25	=	=	SYM
ejpam-3403	231	26	n∑	n∑	NOUN
ejpam-3403	231	27	k	k	X
ejpam-3403	231	28	=	=	NOUN
ejpam-3403	231	29	α	α	X
ejpam-3403	231	30	(	(	PUNCT
ejpam-3403	231	31	n	n	NOUN
ejpam-3403	231	32	k	k	NOUN
ejpam-3403	231	33	)	)	PUNCT
ejpam-3403	231	34	g	g	PROPN
ejpam-3403	231	35	(	(	PUNCT
ejpam-3403	231	36	α	α	NOUN
ejpam-3403	231	37	)	)	PUNCT
ejpam-3403	231	38	k	k	NOUN
ejpam-3403	231	39	(	(	PUNCT
ejpam-3403	231	40	−x	−x	NOUN
ejpam-3403	231	41	;	;	PUNCT
ejpam-3403	231	42	b	b	X
ejpam-3403	231	43	,	,	PUNCT
ejpam-3403	231	44	a	a	PRON
ejpam-3403	231	45	,	,	PUNCT
ejpam-3403	231	46	c)(αlnab)n−k	c)(αlnab)n−k	NOUN
ejpam-3403	231	47	.	.	PUNCT
ejpam-3403	232	1	therefor	therefor	ADP
ejpam-3403	232	2	we	we	PRON
ejpam-3403	232	3	derive	derive	VERB
ejpam-3403	232	4	the	the	DET
ejpam-3403	232	5	eq.(32	eq.(32	NOUN
ejpam-3403	232	6	)	)	PUNCT
ejpam-3403	232	7	.	.	PUNCT
ejpam-3403	233	1	theorem	theorem	VERB
ejpam-3403	233	2	7	7	NUM
ejpam-3403	233	3	.	.	PUNCT
ejpam-3403	233	4	let	let	VERB
ejpam-3403	233	5	a	a	DET
ejpam-3403	233	6	,	,	PUNCT
ejpam-3403	233	7	b	b	NOUN
ejpam-3403	233	8	and	and	CCONJ
ejpam-3403	233	9	c	c	PROPN
ejpam-3403	233	10	be	be	AUX
ejpam-3403	233	11	positive	positive	ADJ
ejpam-3403	233	12	integers	integer	NOUN
ejpam-3403	233	13	with	with	ADP
ejpam-3403	233	14	conditions	condition	NOUN
ejpam-3403	233	15	a	a	PRON
ejpam-3403	233	16	6=	6=	PROPN
ejpam-3403	233	17	b	b	PROPN
ejpam-3403	233	18	,	,	PUNCT
ejpam-3403	233	19	ab	ab	PROPN
ejpam-3403	233	20	6=	6=	ADP
ejpam-3403	233	21	1	1	NUM
ejpam-3403	233	22	and	and	CCONJ
ejpam-3403	233	23	c	c	PROPN
ejpam-3403	233	24	6=	6=	PROPN
ejpam-3403	233	25	1	1	NUM
ejpam-3403	233	26	,	,	PUNCT
ejpam-3403	233	27	for	for	ADP
ejpam-3403	233	28	α	α	PRON
ejpam-3403	233	29	∈	∈	PROPN
ejpam-3403	233	30	n+	n+	PROPN
ejpam-3403	233	31	,	,	PUNCT
ejpam-3403	233	32	x	x	PUNCT
ejpam-3403	233	33	∈	∈	PROPN
ejpam-3403	233	34	r	r	NOUN
ejpam-3403	233	35	,	,	PUNCT
ejpam-3403	233	36	n	n	PRON
ejpam-3403	233	37	≥	≥	NOUN
ejpam-3403	233	38	α	α	NOUN
ejpam-3403	233	39	,	,	PUNCT
ejpam-3403	233	40	then	then	ADV
ejpam-3403	233	41	we	we	PRON
ejpam-3403	233	42	get	get	VERB
ejpam-3403	233	43	n∑	n∑	NOUN
ejpam-3403	234	1	k	k	X
ejpam-3403	235	1	=	=	NOUN
ejpam-3403	235	2	α	α	X
ejpam-3403	235	3	(	(	PUNCT
ejpam-3403	235	4	n	n	NOUN
ejpam-3403	235	5	k	k	NOUN
ejpam-3403	235	6	)	)	PUNCT
ejpam-3403	235	7	g	g	PROPN
ejpam-3403	235	8	(	(	PUNCT
ejpam-3403	235	9	α	α	NOUN
ejpam-3403	235	10	)	)	PUNCT
ejpam-3403	235	11	k	k	PROPN
ejpam-3403	235	12	(	(	PUNCT
ejpam-3403	235	13	a	a	PRON
ejpam-3403	235	14	,	,	PUNCT
ejpam-3403	235	15	b)xn−k(lnc)n−k	b)xn−k(lnc)n−k	X
ejpam-3403	235	16	=	=	SYM
ejpam-3403	235	17	n∑	n∑	NOUN
ejpam-3403	235	18	k	k	X
ejpam-3403	236	1	=	=	NOUN
ejpam-3403	236	2	α	α	X
ejpam-3403	236	3	(	(	PUNCT
ejpam-3403	236	4	n	n	NOUN
ejpam-3403	236	5	k	k	NOUN
ejpam-3403	236	6	)	)	PUNCT
ejpam-3403	236	7	(	(	PUNCT
ejpam-3403	236	8	−αlnc)n−kg(α	−αlnc)n−kg(α	X
ejpam-3403	236	9	)	)	PUNCT
ejpam-3403	236	10	k	k	NOUN
ejpam-3403	236	11	(	(	PUNCT
ejpam-3403	236	12	x	x	X
ejpam-3403	236	13	;	;	PUNCT
ejpam-3403	236	14	a	a	DET
ejpam-3403	236	15	c	c	NOUN
ejpam-3403	236	16	,	,	PUNCT
ejpam-3403	236	17	b	b	PROPN
ejpam-3403	236	18	c	c	X
ejpam-3403	236	19	,	,	PUNCT
ejpam-3403	236	20	c	c	NOUN
ejpam-3403	236	21	)	)	PUNCT
ejpam-3403	236	22	.	.	PUNCT
ejpam-3403	237	1	(	(	PUNCT
ejpam-3403	237	2	33	33	NUM
ejpam-3403	237	3	)	)	PUNCT
ejpam-3403	237	4	t.	t.	PROPN
ejpam-3403	237	5	hao	hao	PROPN
ejpam-3403	237	6	,	,	PUNCT
ejpam-3403	237	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	237	8	/	/	SYM
ejpam-3403	237	9	eur	eur	PROPN
ejpam-3403	237	10	.	.	PUNCT
ejpam-3403	238	1	j.	j.	PROPN
ejpam-3403	238	2	pure	pure	PROPN
ejpam-3403	238	3	appl	appl	PROPN
ejpam-3403	238	4	.	.	PROPN
ejpam-3403	238	5	math	math	PROPN
ejpam-3403	238	6	,	,	PUNCT
ejpam-3403	238	7	12	12	NUM
ejpam-3403	238	8	(	(	PUNCT
ejpam-3403	238	9	2	2	NUM
ejpam-3403	238	10	)	)	PUNCT
ejpam-3403	238	11	(	(	PUNCT
ejpam-3403	238	12	2019	2019	NUM
ejpam-3403	238	13	)	)	PUNCT
ejpam-3403	238	14	,	,	PUNCT
ejpam-3403	238	15	605	605	NUM
ejpam-3403	238	16	-	-	SYM
ejpam-3403	238	17	621	621	NUM
ejpam-3403	238	18	613	613	NUM
ejpam-3403	238	19	proof	proof	NOUN
ejpam-3403	238	20	.	.	PUNCT
ejpam-3403	239	1	by	by	ADP
ejpam-3403	239	2	theorem	theorem	NOUN
ejpam-3403	239	3	1	1	NUM
ejpam-3403	239	4	we	we	PRON
ejpam-3403	239	5	have	have	VERB
ejpam-3403	239	6	g(α	g(α	NOUN
ejpam-3403	239	7	)	)	PUNCT
ejpam-3403	239	8	n	n	CCONJ
ejpam-3403	239	9	(	(	PUNCT
ejpam-3403	239	10	x	x	X
ejpam-3403	239	11	;	;	PUNCT
ejpam-3403	239	12	a	a	DET
ejpam-3403	239	13	,	,	PUNCT
ejpam-3403	239	14	b	b	NOUN
ejpam-3403	239	15	,	,	PUNCT
ejpam-3403	239	16	c	c	NOUN
ejpam-3403	239	17	)	)	PUNCT
ejpam-3403	239	18	=	=	SYM
ejpam-3403	239	19	n	n	X
ejpam-3403	239	20	!	!	PUNCT
ejpam-3403	240	1	(	(	PUNCT
ejpam-3403	240	2	n−	n−	NOUN
ejpam-3403	240	3	α	α	NOUN
ejpam-3403	240	4	)	)	PUNCT
ejpam-3403	240	5	!	!	PUNCT
ejpam-3403	241	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	241	2	)	)	PUNCT
ejpam-3403	242	1	+	+	NUM
ejpam-3403	242	2	·	·	PUNCT
ejpam-3403	242	3	·	·	PUNCT
ejpam-3403	242	4	·	·	PUNCT
ejpam-3403	242	5	+	+	NUM
ejpam-3403	242	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	242	7	b	b	X
ejpam-3403	242	8	a	a	PRON
ejpam-3403	243	1	+	+	NUM
ejpam-3403	243	2	xlnc−	xlnc−	NUM
ejpam-3403	243	3	α	α	NOUN
ejpam-3403	243	4	2	2	NUM
ejpam-3403	243	5	lnab]n−α	lnab]n−α	NUM
ejpam-3403	243	6	=	=	SYM
ejpam-3403	243	7	n	n	X
ejpam-3403	243	8	!	!	PUNCT
ejpam-3403	244	1	(	(	PUNCT
ejpam-3403	244	2	n−	n−	NOUN
ejpam-3403	244	3	α	α	NOUN
ejpam-3403	244	4	)	)	PUNCT
ejpam-3403	244	5	!	!	PUNCT
ejpam-3403	245	1	n∑	n∑	X
ejpam-3403	246	1	k	k	X
ejpam-3403	247	1	=	=	NOUN
ejpam-3403	247	2	α	α	X
ejpam-3403	247	3	(	(	PUNCT
ejpam-3403	247	4	n−	n−	NOUN
ejpam-3403	247	5	α	α	NOUN
ejpam-3403	247	6	k	k	NOUN
ejpam-3403	247	7	−	−	PROPN
ejpam-3403	247	8	α	α	X
ejpam-3403	247	9	)	)	PUNCT
ejpam-3403	247	10	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	247	11	)	)	PUNCT
ejpam-3403	247	12	+	+	NUM
ejpam-3403	247	13	·	·	PUNCT
ejpam-3403	247	14	·	·	PUNCT
ejpam-3403	247	15	·	·	PUNCT
ejpam-3403	247	16	+	+	NUM
ejpam-3403	247	17	l(α))ln	l(α))ln	PROPN
ejpam-3403	247	18	b	b	X
ejpam-3403	247	19	a	a	DET
ejpam-3403	247	20	−	−	NOUN
ejpam-3403	247	21	α	α	NOUN
ejpam-3403	247	22	2	2	NUM
ejpam-3403	247	23	lnab]k−α(xlnc)n−k	lnab]k−α(xlnc)n−k	NOUN
ejpam-3403	247	24	=	=	SYM
ejpam-3403	247	25	n∑	n∑	NOUN
ejpam-3403	247	26	k	k	X
ejpam-3403	248	1	=	=	NOUN
ejpam-3403	248	2	α	α	X
ejpam-3403	248	3	(	(	PUNCT
ejpam-3403	248	4	n	n	NOUN
ejpam-3403	248	5	k	k	NOUN
ejpam-3403	248	6	)	)	PUNCT
ejpam-3403	248	7	g	g	PROPN
ejpam-3403	248	8	(	(	PUNCT
ejpam-3403	248	9	α	α	NOUN
ejpam-3403	248	10	)	)	PUNCT
ejpam-3403	248	11	k	k	PROPN
ejpam-3403	248	12	(	(	PUNCT
ejpam-3403	248	13	a	a	DET
ejpam-3403	248	14	,	,	PUNCT
ejpam-3403	248	15	b)xn−k(lnc)n−k	b)xn−k(lnc)n−k	NOUN
ejpam-3403	248	16	,	,	PUNCT
ejpam-3403	248	17	(	(	PUNCT
ejpam-3403	248	18	34	34	NUM
ejpam-3403	248	19	)	)	PUNCT
ejpam-3403	248	20	and	and	CCONJ
ejpam-3403	248	21	g(α	g(α	NOUN
ejpam-3403	248	22	)	)	PUNCT
ejpam-3403	248	23	n	n	CCONJ
ejpam-3403	248	24	(	(	PUNCT
ejpam-3403	248	25	x	x	X
ejpam-3403	248	26	;	;	PUNCT
ejpam-3403	248	27	a	a	DET
ejpam-3403	248	28	,	,	PUNCT
ejpam-3403	248	29	b	b	NOUN
ejpam-3403	248	30	,	,	PUNCT
ejpam-3403	248	31	c	c	NOUN
ejpam-3403	248	32	)	)	PUNCT
ejpam-3403	248	33	=	=	SYM
ejpam-3403	248	34	n	n	X
ejpam-3403	248	35	!	!	PUNCT
ejpam-3403	249	1	(	(	PUNCT
ejpam-3403	249	2	n−	n−	NOUN
ejpam-3403	249	3	α	α	NOUN
ejpam-3403	249	4	)	)	PUNCT
ejpam-3403	249	5	!	!	PUNCT
ejpam-3403	250	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	250	2	)	)	PUNCT
ejpam-3403	251	1	+	+	NUM
ejpam-3403	251	2	·	·	PUNCT
ejpam-3403	251	3	·	·	PUNCT
ejpam-3403	251	4	·	·	PUNCT
ejpam-3403	251	5	+	+	NUM
ejpam-3403	251	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	251	7	b	b	X
ejpam-3403	251	8	a	a	PRON
ejpam-3403	252	1	+	+	NUM
ejpam-3403	252	2	xlnc−	xlnc−	NUM
ejpam-3403	252	3	α	α	NOUN
ejpam-3403	252	4	2	2	NUM
ejpam-3403	252	5	lnab]n−α	lnab]n−α	NUM
ejpam-3403	252	6	=	=	SYM
ejpam-3403	252	7	n	n	X
ejpam-3403	252	8	!	!	PUNCT
ejpam-3403	253	1	(	(	PUNCT
ejpam-3403	253	2	n−	n−	NOUN
ejpam-3403	253	3	α	α	NOUN
ejpam-3403	253	4	)	)	PUNCT
ejpam-3403	253	5	!	!	PUNCT
ejpam-3403	254	1	n∑	n∑	X
ejpam-3403	255	1	k	k	X
ejpam-3403	256	1	=	=	NOUN
ejpam-3403	256	2	α	α	X
ejpam-3403	256	3	(	(	PUNCT
ejpam-3403	256	4	n−	n−	NOUN
ejpam-3403	256	5	α	α	NOUN
ejpam-3403	256	6	k	k	NOUN
ejpam-3403	256	7	−	−	PROPN
ejpam-3403	256	8	α	α	X
ejpam-3403	256	9	)	)	PUNCT
ejpam-3403	256	10	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	256	11	)	)	PUNCT
ejpam-3403	256	12	+	+	NUM
ejpam-3403	256	13	·	·	PUNCT
ejpam-3403	256	14	·	·	PUNCT
ejpam-3403	256	15	·	·	PUNCT
ejpam-3403	256	16	+	+	NUM
ejpam-3403	256	17	l(α))ln	l(α))ln	PROPN
ejpam-3403	256	18	b	b	PROPN
ejpam-3403	256	19	c	c	PROPN
ejpam-3403	256	20	a	a	DET
ejpam-3403	256	21	c	c	NOUN
ejpam-3403	256	22	+	+	CCONJ
ejpam-3403	256	23	xlnc−	xlnc−	PROPN
ejpam-3403	256	24	α	α	NOUN
ejpam-3403	256	25	2	2	NUM
ejpam-3403	256	26	ln	ln	NOUN
ejpam-3403	256	27	ab	ab	PROPN
ejpam-3403	256	28	c2	c2	PROPN
ejpam-3403	256	29	]	]	PUNCT
ejpam-3403	256	30	k−α(−αlnc)n−k	k−α(−αlnc)n−k	PROPN
ejpam-3403	257	1	=	=	PUNCT
ejpam-3403	258	1	n∑	n∑	PROPN
ejpam-3403	259	1	k	k	X
ejpam-3403	260	1	=	=	NOUN
ejpam-3403	260	2	α	α	X
ejpam-3403	260	3	(	(	PUNCT
ejpam-3403	260	4	n	n	NOUN
ejpam-3403	260	5	k	k	NOUN
ejpam-3403	260	6	)	)	PUNCT
ejpam-3403	260	7	(	(	PUNCT
ejpam-3403	260	8	−αlnc)n−kg(α	−αlnc)n−kg(α	X
ejpam-3403	260	9	)	)	PUNCT
ejpam-3403	260	10	k	k	NOUN
ejpam-3403	260	11	(	(	PUNCT
ejpam-3403	260	12	x	x	X
ejpam-3403	260	13	;	;	PUNCT
ejpam-3403	260	14	a	a	DET
ejpam-3403	260	15	c	c	NOUN
ejpam-3403	260	16	,	,	PUNCT
ejpam-3403	260	17	b	b	PROPN
ejpam-3403	260	18	c	c	X
ejpam-3403	260	19	,	,	PUNCT
ejpam-3403	260	20	c	c	NOUN
ejpam-3403	260	21	)	)	PUNCT
ejpam-3403	260	22	.	.	PUNCT
ejpam-3403	261	1	(	(	PUNCT
ejpam-3403	261	2	35	35	NUM
ejpam-3403	261	3	)	)	PUNCT
ejpam-3403	261	4	thus	thus	ADV
ejpam-3403	261	5	,	,	PUNCT
ejpam-3403	261	6	combining	combine	VERB
ejpam-3403	261	7	eq.(34	eq.(34	NOUN
ejpam-3403	261	8	)	)	PUNCT
ejpam-3403	261	9	and	and	CCONJ
ejpam-3403	261	10	eq.(35	eq.(35	NOUN
ejpam-3403	261	11	)	)	PUNCT
ejpam-3403	261	12	gives	give	VERB
ejpam-3403	261	13	the	the	DET
ejpam-3403	261	14	theorem	theorem	ADJ
ejpam-3403	261	15	7	7	NUM
ejpam-3403	261	16	.	.	PUNCT
ejpam-3403	261	17	theorem	theorem	NOUN
ejpam-3403	261	18	8	8	NUM
ejpam-3403	261	19	.	.	PUNCT
ejpam-3403	262	1	let	let	VERB
ejpam-3403	262	2	a	a	DET
ejpam-3403	262	3	,	,	PUNCT
ejpam-3403	262	4	b	b	NOUN
ejpam-3403	262	5	and	and	CCONJ
ejpam-3403	262	6	c	c	PROPN
ejpam-3403	262	7	be	be	AUX
ejpam-3403	262	8	positive	positive	ADJ
ejpam-3403	262	9	integers	integer	NOUN
ejpam-3403	262	10	with	with	ADP
ejpam-3403	262	11	conditions	condition	NOUN
ejpam-3403	262	12	a	a	PRON
ejpam-3403	262	13	6=	6=	PROPN
ejpam-3403	262	14	b	b	PROPN
ejpam-3403	262	15	,	,	PUNCT
ejpam-3403	262	16	ab	ab	PROPN
ejpam-3403	262	17	6=	6=	ADP
ejpam-3403	262	18	1	1	NUM
ejpam-3403	262	19	and	and	CCONJ
ejpam-3403	262	20	c	c	PROPN
ejpam-3403	262	21	6=	6=	PROPN
ejpam-3403	262	22	1	1	NUM
ejpam-3403	262	23	,	,	PUNCT
ejpam-3403	262	24	for	for	ADP
ejpam-3403	262	25	α	α	PRON
ejpam-3403	262	26	∈	∈	PROPN
ejpam-3403	262	27	n+	n+	PROPN
ejpam-3403	262	28	,	,	PUNCT
ejpam-3403	262	29	x	x	X
ejpam-3403	262	30	,	,	PUNCT
ejpam-3403	262	31	y	y	PROPN
ejpam-3403	262	32	∈	∈	PROPN
ejpam-3403	262	33	r	r	PROPN
ejpam-3403	262	34	,	,	PUNCT
ejpam-3403	262	35	n	n	PRON
ejpam-3403	262	36	≥	≥	NOUN
ejpam-3403	262	37	α	α	NOUN
ejpam-3403	262	38	,	,	PUNCT
ejpam-3403	262	39	then	then	ADV
ejpam-3403	262	40	we	we	PRON
ejpam-3403	262	41	get	get	VERB
ejpam-3403	262	42	g(α	g(α	NOUN
ejpam-3403	262	43	)	)	PUNCT
ejpam-3403	262	44	n	n	CCONJ
ejpam-3403	262	45	(	(	PUNCT
ejpam-3403	262	46	x+	x+	PROPN
ejpam-3403	262	47	y	y	PROPN
ejpam-3403	262	48	;	;	PUNCT
ejpam-3403	262	49	a	a	DET
ejpam-3403	262	50	,	,	PUNCT
ejpam-3403	262	51	b	b	NOUN
ejpam-3403	262	52	,	,	PUNCT
ejpam-3403	262	53	c	c	NOUN
ejpam-3403	262	54	)	)	PUNCT
ejpam-3403	262	55	=	=	SYM
ejpam-3403	263	1	n∑	n∑	NOUN
ejpam-3403	263	2	k	k	X
ejpam-3403	264	1	=	=	NOUN
ejpam-3403	264	2	α	α	X
ejpam-3403	264	3	(	(	PUNCT
ejpam-3403	264	4	n	n	NOUN
ejpam-3403	264	5	k	k	NOUN
ejpam-3403	264	6	)	)	PUNCT
ejpam-3403	264	7	g	g	PROPN
ejpam-3403	264	8	(	(	PUNCT
ejpam-3403	264	9	α	α	NOUN
ejpam-3403	264	10	)	)	PUNCT
ejpam-3403	264	11	k	k	NOUN
ejpam-3403	264	12	(	(	PUNCT
ejpam-3403	264	13	x	x	NOUN
ejpam-3403	264	14	;	;	PUNCT
ejpam-3403	264	15	a	a	DET
ejpam-3403	264	16	,	,	PUNCT
ejpam-3403	264	17	b	b	NOUN
ejpam-3403	264	18	,	,	PUNCT
ejpam-3403	264	19	c)yn−k(lnc)n−k	c)yn−k(lnc)n−k	NOUN
ejpam-3403	264	20	.	.	PUNCT
ejpam-3403	265	1	(	(	PUNCT
ejpam-3403	265	2	36	36	NUM
ejpam-3403	265	3	)	)	PUNCT
ejpam-3403	265	4	proof	proof	NOUN
ejpam-3403	265	5	.	.	PUNCT
ejpam-3403	266	1	it	it	PRON
ejpam-3403	266	2	follows	follow	VERB
ejpam-3403	266	3	from	from	ADP
ejpam-3403	266	4	eq.(15	eq.(15	NOUN
ejpam-3403	266	5	)	)	PUNCT
ejpam-3403	266	6	that	that	SCONJ
ejpam-3403	266	7	g(α	g(α	VERB
ejpam-3403	266	8	)	)	PUNCT
ejpam-3403	266	9	n	n	CCONJ
ejpam-3403	266	10	(	(	PUNCT
ejpam-3403	266	11	x+	x+	PROPN
ejpam-3403	266	12	y	y	PROPN
ejpam-3403	266	13	;	;	PUNCT
ejpam-3403	266	14	a	a	DET
ejpam-3403	266	15	,	,	PUNCT
ejpam-3403	266	16	b	b	NOUN
ejpam-3403	266	17	,	,	PUNCT
ejpam-3403	266	18	c	c	NOUN
ejpam-3403	266	19	)	)	PUNCT
ejpam-3403	266	20	=	=	SYM
ejpam-3403	267	1	n	n	X
ejpam-3403	267	2	!	!	PUNCT
ejpam-3403	268	1	(	(	PUNCT
ejpam-3403	268	2	n−	n−	NOUN
ejpam-3403	268	3	α	α	NOUN
ejpam-3403	268	4	)	)	PUNCT
ejpam-3403	268	5	!	!	PUNCT
ejpam-3403	269	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	269	2	)	)	PUNCT
ejpam-3403	270	1	+	+	NUM
ejpam-3403	270	2	·	·	PUNCT
ejpam-3403	270	3	·	·	PUNCT
ejpam-3403	270	4	·	·	PUNCT
ejpam-3403	270	5	+	+	NUM
ejpam-3403	270	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	270	7	b	b	X
ejpam-3403	270	8	a	a	PRON
ejpam-3403	270	9	+	+	X
ejpam-3403	270	10	(	(	PUNCT
ejpam-3403	270	11	x+	x+	INTJ
ejpam-3403	270	12	y)lnc−	y)lnc−	NOUN
ejpam-3403	270	13	α	α	NOUN
ejpam-3403	270	14	2	2	NUM
ejpam-3403	270	15	lnab]n−α	lnab]n−α	NUM
ejpam-3403	270	16	=	=	SYM
ejpam-3403	270	17	n	n	X
ejpam-3403	270	18	!	!	PUNCT
ejpam-3403	271	1	(	(	PUNCT
ejpam-3403	271	2	n−	n−	NOUN
ejpam-3403	271	3	α	α	NOUN
ejpam-3403	271	4	)	)	PUNCT
ejpam-3403	271	5	!	!	PUNCT
ejpam-3403	272	1	n∑	n∑	X
ejpam-3403	273	1	k	k	X
ejpam-3403	274	1	=	=	NOUN
ejpam-3403	274	2	α	α	X
ejpam-3403	274	3	(	(	PUNCT
ejpam-3403	274	4	n−	n−	NOUN
ejpam-3403	274	5	α	α	NOUN
ejpam-3403	274	6	k	k	NOUN
ejpam-3403	274	7	−	−	PROPN
ejpam-3403	274	8	α	α	X
ejpam-3403	274	9	)	)	PUNCT
ejpam-3403	274	10	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	274	11	)	)	PUNCT
ejpam-3403	274	12	+	+	NUM
ejpam-3403	274	13	·	·	PUNCT
ejpam-3403	274	14	·	·	PUNCT
ejpam-3403	274	15	·	·	PUNCT
ejpam-3403	274	16	+	+	NUM
ejpam-3403	274	17	l(α))ln	l(α))ln	PROPN
ejpam-3403	274	18	b	b	X
ejpam-3403	274	19	a	a	PRON
ejpam-3403	274	20	+	+	NUM
ejpam-3403	274	21	xlnc−	xlnc−	ADJ
ejpam-3403	274	22	α	α	NOUN
ejpam-3403	274	23	2	2	NUM
ejpam-3403	274	24	lnab]k−α(ylnc)n−k	lnab]k−α(ylnc)n−k	NOUN
ejpam-3403	274	25	=	=	SYM
ejpam-3403	274	26	n	n	X
ejpam-3403	274	27	!	!	PUNCT
ejpam-3403	275	1	(	(	PUNCT
ejpam-3403	275	2	n−	n−	NOUN
ejpam-3403	275	3	α	α	NOUN
ejpam-3403	275	4	)	)	PUNCT
ejpam-3403	275	5	!	!	PUNCT
ejpam-3403	276	1	n∑	n∑	X
ejpam-3403	277	1	k	k	X
ejpam-3403	278	1	=	=	NOUN
ejpam-3403	278	2	α	α	X
ejpam-3403	278	3	(	(	PUNCT
ejpam-3403	278	4	n−	n−	NOUN
ejpam-3403	278	5	α	α	NOUN
ejpam-3403	278	6	k	k	NOUN
ejpam-3403	278	7	−	−	PROPN
ejpam-3403	278	8	α	α	NOUN
ejpam-3403	278	9	)	)	PUNCT
ejpam-3403	279	1	(	(	PUNCT
ejpam-3403	279	2	k	k	NOUN
ejpam-3403	279	3	−	−	PROPN
ejpam-3403	279	4	α	α	NOUN
ejpam-3403	279	5	)	)	PUNCT
ejpam-3403	279	6	!	!	PUNCT
ejpam-3403	280	1	k	k	X
ejpam-3403	280	2	!	!	PUNCT
ejpam-3403	281	1	g	g	PROPN
ejpam-3403	281	2	(	(	PUNCT
ejpam-3403	281	3	α	α	NOUN
ejpam-3403	281	4	)	)	PUNCT
ejpam-3403	281	5	k	k	NOUN
ejpam-3403	281	6	(	(	PUNCT
ejpam-3403	281	7	x	x	NOUN
ejpam-3403	281	8	;	;	PUNCT
ejpam-3403	281	9	a	a	DET
ejpam-3403	281	10	,	,	PUNCT
ejpam-3403	281	11	b	b	NOUN
ejpam-3403	281	12	,	,	PUNCT
ejpam-3403	281	13	c)(ylnc)n−k	c)(ylnc)n−k	NOUN
ejpam-3403	281	14	=	=	SYM
ejpam-3403	281	15	n∑	n∑	PROPN
ejpam-3403	281	16	k	k	X
ejpam-3403	282	1	=	=	NOUN
ejpam-3403	282	2	α	α	X
ejpam-3403	282	3	(	(	PUNCT
ejpam-3403	282	4	n	n	NOUN
ejpam-3403	282	5	k	k	NOUN
ejpam-3403	282	6	)	)	PUNCT
ejpam-3403	282	7	g	g	PROPN
ejpam-3403	282	8	(	(	PUNCT
ejpam-3403	282	9	α	α	NOUN
ejpam-3403	282	10	)	)	PUNCT
ejpam-3403	282	11	k	k	NOUN
ejpam-3403	282	12	(	(	PUNCT
ejpam-3403	282	13	x	x	NOUN
ejpam-3403	282	14	;	;	PUNCT
ejpam-3403	282	15	a	a	DET
ejpam-3403	282	16	,	,	PUNCT
ejpam-3403	282	17	b	b	NOUN
ejpam-3403	282	18	,	,	PUNCT
ejpam-3403	282	19	c)yn−k(lnc)n−k	c)yn−k(lnc)n−k	NOUN
ejpam-3403	282	20	.	.	PUNCT
ejpam-3403	283	1	this	this	PRON
ejpam-3403	283	2	concludes	conclude	VERB
ejpam-3403	283	3	the	the	DET
ejpam-3403	283	4	proof	proof	NOUN
ejpam-3403	283	5	.	.	PUNCT
ejpam-3403	284	1	t.	t.	PROPN
ejpam-3403	284	2	hao	hao	PROPN
ejpam-3403	284	3	,	,	PUNCT
ejpam-3403	284	4	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	284	5	/	/	SYM
ejpam-3403	284	6	eur	eur	PROPN
ejpam-3403	284	7	.	.	PUNCT
ejpam-3403	285	1	j.	j.	PROPN
ejpam-3403	285	2	pure	pure	PROPN
ejpam-3403	285	3	appl	appl	PROPN
ejpam-3403	285	4	.	.	PROPN
ejpam-3403	285	5	math	math	PROPN
ejpam-3403	285	6	,	,	PUNCT
ejpam-3403	285	7	12	12	NUM
ejpam-3403	285	8	(	(	PUNCT
ejpam-3403	285	9	2	2	NUM
ejpam-3403	285	10	)	)	PUNCT
ejpam-3403	285	11	(	(	PUNCT
ejpam-3403	285	12	2019	2019	NUM
ejpam-3403	285	13	)	)	PUNCT
ejpam-3403	285	14	,	,	PUNCT
ejpam-3403	285	15	605	605	NUM
ejpam-3403	285	16	-	-	SYM
ejpam-3403	285	17	621	621	NUM
ejpam-3403	285	18	614	614	NUM
ejpam-3403	285	19	theorem	theorem	NOUN
ejpam-3403	285	20	9	9	NUM
ejpam-3403	285	21	.	.	PUNCT
ejpam-3403	286	1	let	let	VERB
ejpam-3403	286	2	a	a	DET
ejpam-3403	286	3	,	,	PUNCT
ejpam-3403	286	4	b	b	NOUN
ejpam-3403	286	5	and	and	CCONJ
ejpam-3403	286	6	c	c	PROPN
ejpam-3403	286	7	be	be	AUX
ejpam-3403	286	8	positive	positive	ADJ
ejpam-3403	286	9	integers	integer	NOUN
ejpam-3403	286	10	with	with	ADP
ejpam-3403	286	11	conditions	condition	NOUN
ejpam-3403	286	12	a	a	PRON
ejpam-3403	286	13	6=	6=	PROPN
ejpam-3403	286	14	b	b	PROPN
ejpam-3403	286	15	,	,	PUNCT
ejpam-3403	286	16	ab	ab	PROPN
ejpam-3403	286	17	6=	6=	ADP
ejpam-3403	286	18	1	1	NUM
ejpam-3403	286	19	and	and	CCONJ
ejpam-3403	286	20	c	c	PROPN
ejpam-3403	286	21	6=	6=	PROPN
ejpam-3403	286	22	1	1	NUM
ejpam-3403	286	23	,	,	PUNCT
ejpam-3403	286	24	for	for	ADP
ejpam-3403	286	25	α	α	PRON
ejpam-3403	286	26	∈	∈	PROPN
ejpam-3403	286	27	n+	n+	PROPN
ejpam-3403	286	28	,	,	PUNCT
ejpam-3403	286	29	x	x	X
ejpam-3403	286	30	,	,	PUNCT
ejpam-3403	286	31	y	y	PROPN
ejpam-3403	286	32	,	,	PUNCT
ejpam-3403	286	33	z	z	NOUN
ejpam-3403	286	34	∈	∈	PROPN
ejpam-3403	286	35	r	r	NOUN
ejpam-3403	286	36	,	,	PUNCT
ejpam-3403	286	37	n	n	PRON
ejpam-3403	286	38	≥	≥	NOUN
ejpam-3403	286	39	α	α	NOUN
ejpam-3403	286	40	,	,	PUNCT
ejpam-3403	286	41	then	then	ADV
ejpam-3403	286	42	we	we	PRON
ejpam-3403	286	43	get∫	get∫	VERB
ejpam-3403	286	44	y	y	PROPN
ejpam-3403	286	45	x	x	PROPN
ejpam-3403	286	46	g(α	g(α	PROPN
ejpam-3403	286	47	)	)	PUNCT
ejpam-3403	286	48	n	n	CCONJ
ejpam-3403	286	49	(	(	PUNCT
ejpam-3403	286	50	z	z	NOUN
ejpam-3403	286	51	;	;	PUNCT
ejpam-3403	286	52	a	a	DET
ejpam-3403	286	53	,	,	PUNCT
ejpam-3403	286	54	b	b	NOUN
ejpam-3403	286	55	,	,	PUNCT
ejpam-3403	286	56	c)dz	c)dz	PROPN
ejpam-3403	286	57	=	=	SYM
ejpam-3403	286	58	1	1	NUM
ejpam-3403	286	59	(	(	PUNCT
ejpam-3403	286	60	n+	n+	NUM
ejpam-3403	286	61	1)lnc	1)lnc	NUM
ejpam-3403	287	1	[	[	X
ejpam-3403	287	2	g	g	PROPN
ejpam-3403	287	3	(	(	PUNCT
ejpam-3403	287	4	α	α	NOUN
ejpam-3403	287	5	)	)	PUNCT
ejpam-3403	287	6	n+1(y	n+1(y	PROPN
ejpam-3403	287	7	;	;	PUNCT
ejpam-3403	287	8	a	a	DET
ejpam-3403	287	9	,	,	PUNCT
ejpam-3403	287	10	b	b	NOUN
ejpam-3403	287	11	,	,	PUNCT
ejpam-3403	287	12	c)−g(α	c)−g(α	NOUN
ejpam-3403	287	13	)	)	PUNCT
ejpam-3403	287	14	n+1(x	n+1(x	NOUN
ejpam-3403	287	15	;	;	PUNCT
ejpam-3403	287	16	a	a	DET
ejpam-3403	287	17	,	,	PUNCT
ejpam-3403	287	18	b	b	NOUN
ejpam-3403	287	19	,	,	PUNCT
ejpam-3403	287	20	c	c	NOUN
ejpam-3403	287	21	)	)	PUNCT
ejpam-3403	287	22	]	]	PUNCT
ejpam-3403	287	23	,	,	PUNCT
ejpam-3403	287	24	(	(	PUNCT
ejpam-3403	287	25	37	37	NUM
ejpam-3403	287	26	)	)	PUNCT
ejpam-3403	287	27	∂lg	∂lg	PROPN
ejpam-3403	287	28	(	(	PUNCT
ejpam-3403	287	29	α	α	NOUN
ejpam-3403	287	30	)	)	PUNCT
ejpam-3403	287	31	n	n	PROPN
ejpam-3403	287	32	(	(	PUNCT
ejpam-3403	287	33	x	x	X
ejpam-3403	287	34	;	;	PUNCT
ejpam-3403	287	35	a	a	DET
ejpam-3403	287	36	,	,	PUNCT
ejpam-3403	287	37	b	b	NOUN
ejpam-3403	287	38	,	,	PUNCT
ejpam-3403	287	39	c	c	NOUN
ejpam-3403	287	40	)	)	PUNCT
ejpam-3403	287	41	∂xl	∂xl	PROPN
ejpam-3403	287	42	=	=	SYM
ejpam-3403	287	43	(	(	PUNCT
ejpam-3403	287	44	n)l(lnc	n)l(lnc	NOUN
ejpam-3403	287	45	)	)	PUNCT
ejpam-3403	287	46	lg	lg	NOUN
ejpam-3403	287	47	(	(	PUNCT
ejpam-3403	287	48	α	α	NOUN
ejpam-3403	287	49	)	)	PUNCT
ejpam-3403	287	50	n−l(x	n−l(x	PROPN
ejpam-3403	287	51	;	;	PUNCT
ejpam-3403	287	52	a	a	DET
ejpam-3403	287	53	,	,	PUNCT
ejpam-3403	287	54	b	b	NOUN
ejpam-3403	287	55	,	,	PUNCT
ejpam-3403	287	56	c	c	NOUN
ejpam-3403	287	57	)	)	PUNCT
ejpam-3403	287	58	.	.	PUNCT
ejpam-3403	288	1	(	(	PUNCT
ejpam-3403	288	2	38	38	NUM
ejpam-3403	288	3	)	)	PUNCT
ejpam-3403	288	4	proof	proof	NOUN
ejpam-3403	288	5	.	.	PUNCT
ejpam-3403	289	1	by	by	ADP
ejpam-3403	289	2	eq.(15	eq.(15	NOUN
ejpam-3403	289	3	)	)	PUNCT
ejpam-3403	289	4	,	,	PUNCT
ejpam-3403	289	5	we	we	PRON
ejpam-3403	289	6	have∫	have∫	VERB
ejpam-3403	289	7	y	y	PROPN
ejpam-3403	289	8	x	x	SYM
ejpam-3403	289	9	g(α	g(α	PROPN
ejpam-3403	289	10	)	)	PUNCT
ejpam-3403	289	11	n	n	CCONJ
ejpam-3403	289	12	(	(	PUNCT
ejpam-3403	289	13	z	z	NOUN
ejpam-3403	289	14	;	;	PUNCT
ejpam-3403	289	15	a	a	DET
ejpam-3403	289	16	,	,	PUNCT
ejpam-3403	289	17	b	b	NOUN
ejpam-3403	289	18	,	,	PUNCT
ejpam-3403	289	19	c)dz	c)dz	PROPN
ejpam-3403	289	20	=	=	SYM
ejpam-3403	289	21	∫	∫	PROPN
ejpam-3403	289	22	y	y	PROPN
ejpam-3403	289	23	x	x	PROPN
ejpam-3403	289	24	n	n	X
ejpam-3403	289	25	!	!	PUNCT
ejpam-3403	290	1	(	(	PUNCT
ejpam-3403	290	2	n−	n−	NOUN
ejpam-3403	290	3	α	α	NOUN
ejpam-3403	290	4	)	)	PUNCT
ejpam-3403	290	5	!	!	PUNCT
ejpam-3403	291	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	291	2	)	)	PUNCT
ejpam-3403	292	1	+	+	NUM
ejpam-3403	293	1	·	·	PUNCT
ejpam-3403	293	2	·	·	PUNCT
ejpam-3403	293	3	·	·	PUNCT
ejpam-3403	293	4	+	+	NUM
ejpam-3403	294	1	l(α))ln	l(α))ln	PROPN
ejpam-3403	294	2	b	b	X
ejpam-3403	294	3	a	a	DET
ejpam-3403	294	4	+	+	NOUN
ejpam-3403	294	5	zlnc−	zlnc−	ADJ
ejpam-3403	294	6	α	α	NOUN
ejpam-3403	294	7	2	2	NUM
ejpam-3403	294	8	lnab]n−αdz	lnab]n−αdz	NOUN
ejpam-3403	294	9	=	=	SYM
ejpam-3403	294	10	n	n	X
ejpam-3403	294	11	!	!	PUNCT
ejpam-3403	295	1	(	(	PUNCT
ejpam-3403	295	2	n−	n−	NOUN
ejpam-3403	295	3	α	α	NOUN
ejpam-3403	295	4	)	)	PUNCT
ejpam-3403	295	5	!	!	PUNCT
ejpam-3403	296	1	e	e	X
ejpam-3403	296	2	∫	∫	PROPN
ejpam-3403	297	1	y	y	PROPN
ejpam-3403	297	2	x	x	PUNCT
ejpam-3403	298	1	[	[	X
ejpam-3403	298	2	i(l(1	i(l(1	X
ejpam-3403	298	3	)	)	PUNCT
ejpam-3403	298	4	+	+	NUM
ejpam-3403	298	5	·	·	PUNCT
ejpam-3403	298	6	·	·	PUNCT
ejpam-3403	298	7	·	·	PUNCT
ejpam-3403	298	8	+	+	NUM
ejpam-3403	299	1	l(α))ln	l(α))ln	PROPN
ejpam-3403	299	2	b	b	X
ejpam-3403	299	3	a	a	DET
ejpam-3403	299	4	+	+	NOUN
ejpam-3403	299	5	zlnc−	zlnc−	ADJ
ejpam-3403	299	6	α	α	NOUN
ejpam-3403	299	7	2	2	NUM
ejpam-3403	299	8	lnab]n−αdz	lnab]n−αdz	NOUN
ejpam-3403	299	9	=	=	SYM
ejpam-3403	299	10	n	n	X
ejpam-3403	299	11	!	!	PUNCT
ejpam-3403	300	1	(	(	PUNCT
ejpam-3403	300	2	n−	n−	NOUN
ejpam-3403	300	3	α	α	X
ejpam-3403	300	4	)	)	PUNCT
ejpam-3403	300	5	!	!	PUNCT
ejpam-3403	301	1	1	1	NUM
ejpam-3403	301	2	(	(	PUNCT
ejpam-3403	301	3	n−	n−	NOUN
ejpam-3403	301	4	α+	α+	X
ejpam-3403	301	5	1)lnc	1)lnc	NUM
ejpam-3403	301	6	{	{	PUNCT
ejpam-3403	301	7	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	301	8	)	)	PUNCT
ejpam-3403	301	9	+	+	NUM
ejpam-3403	301	10	·	·	PUNCT
ejpam-3403	301	11	·	·	PUNCT
ejpam-3403	301	12	·	·	PUNCT
ejpam-3403	302	1	+	+	NUM
ejpam-3403	302	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	302	3	b	b	X
ejpam-3403	302	4	a	a	DET
ejpam-3403	302	5	+	+	NOUN
ejpam-3403	302	6	ylnc−	ylnc−	PROPN
ejpam-3403	302	7	α	α	PROPN
ejpam-3403	302	8	2	2	NUM
ejpam-3403	302	9	lnab]n−α+1	lnab]n−α+1	PROPN
ejpam-3403	302	10	−	−	PROPN
ejpam-3403	302	11	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	302	12	)	)	PUNCT
ejpam-3403	302	13	+	+	NUM
ejpam-3403	302	14	·	·	PUNCT
ejpam-3403	302	15	·	·	PUNCT
ejpam-3403	302	16	·	·	PUNCT
ejpam-3403	303	1	+	+	NUM
ejpam-3403	303	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	303	3	b	b	X
ejpam-3403	303	4	a	a	DET
ejpam-3403	303	5	+	+	NUM
ejpam-3403	303	6	xlnc−	xlnc−	ADJ
ejpam-3403	303	7	α	α	PRON
ejpam-3403	303	8	2	2	NUM
ejpam-3403	303	9	lnab]n−α+1	lnab]n−α+1	PROPN
ejpam-3403	303	10	}	}	PUNCT
ejpam-3403	303	11	=	=	SYM
ejpam-3403	303	12	n	n	X
ejpam-3403	303	13	!	!	PUNCT
ejpam-3403	304	1	(	(	PUNCT
ejpam-3403	304	2	n−	n−	NOUN
ejpam-3403	304	3	α	α	X
ejpam-3403	304	4	)	)	PUNCT
ejpam-3403	304	5	!	!	PUNCT
ejpam-3403	305	1	1	1	NUM
ejpam-3403	305	2	(	(	PUNCT
ejpam-3403	305	3	n−	n−	NOUN
ejpam-3403	305	4	α+	α+	PRON
ejpam-3403	305	5	1)lnc	1)lnc	NUM
ejpam-3403	305	6	(	(	PUNCT
ejpam-3403	305	7	n−	n−	NOUN
ejpam-3403	305	8	α+	α+	NOUN
ejpam-3403	305	9	1	1	NUM
ejpam-3403	305	10	)	)	PUNCT
ejpam-3403	305	11	!	!	PUNCT
ejpam-3403	306	1	(	(	PUNCT
ejpam-3403	306	2	n+	n+	NOUN
ejpam-3403	306	3	1	1	NUM
ejpam-3403	306	4	)	)	PUNCT
ejpam-3403	306	5	!	!	PUNCT
ejpam-3403	307	1	[	[	X
ejpam-3403	307	2	g	g	X
ejpam-3403	307	3	(	(	PUNCT
ejpam-3403	307	4	α	α	NOUN
ejpam-3403	307	5	)	)	PUNCT
ejpam-3403	307	6	n+1(y	n+1(y	PROPN
ejpam-3403	307	7	;	;	PUNCT
ejpam-3403	307	8	a	a	DET
ejpam-3403	307	9	,	,	PUNCT
ejpam-3403	307	10	b	b	NOUN
ejpam-3403	307	11	,	,	PUNCT
ejpam-3403	307	12	c)−g(α	c)−g(α	NOUN
ejpam-3403	307	13	)	)	PUNCT
ejpam-3403	307	14	n+1(x	n+1(x	NOUN
ejpam-3403	307	15	;	;	PUNCT
ejpam-3403	307	16	a	a	DET
ejpam-3403	307	17	,	,	PUNCT
ejpam-3403	307	18	b	b	NOUN
ejpam-3403	307	19	,	,	PUNCT
ejpam-3403	307	20	c	c	NOUN
ejpam-3403	307	21	)	)	PUNCT
ejpam-3403	307	22	]	]	PUNCT
ejpam-3403	307	23	=	=	SYM
ejpam-3403	307	24	1	1	NUM
ejpam-3403	307	25	(	(	PUNCT
ejpam-3403	307	26	n+	n+	NUM
ejpam-3403	307	27	1)lnc	1)lnc	NUM
ejpam-3403	308	1	[	[	X
ejpam-3403	308	2	g	g	PROPN
ejpam-3403	308	3	(	(	PUNCT
ejpam-3403	308	4	α	α	NOUN
ejpam-3403	308	5	)	)	PUNCT
ejpam-3403	308	6	n+1(y	n+1(y	PROPN
ejpam-3403	308	7	;	;	PUNCT
ejpam-3403	308	8	a	a	DET
ejpam-3403	308	9	,	,	PUNCT
ejpam-3403	308	10	b	b	NOUN
ejpam-3403	308	11	,	,	PUNCT
ejpam-3403	308	12	c)−g(α	c)−g(α	NOUN
ejpam-3403	308	13	)	)	PUNCT
ejpam-3403	308	14	n+1(x	n+1(x	NOUN
ejpam-3403	308	15	;	;	PUNCT
ejpam-3403	308	16	a	a	DET
ejpam-3403	308	17	,	,	PUNCT
ejpam-3403	308	18	b	b	NOUN
ejpam-3403	308	19	,	,	PUNCT
ejpam-3403	308	20	c	c	NOUN
ejpam-3403	308	21	)	)	PUNCT
ejpam-3403	308	22	]	]	PUNCT
ejpam-3403	308	23	.	.	PUNCT
ejpam-3403	309	1	as	as	ADP
ejpam-3403	309	2	for	for	ADP
ejpam-3403	309	3	eq.(38	eq.(38	NOUN
ejpam-3403	309	4	)	)	PUNCT
ejpam-3403	309	5	,	,	PUNCT
ejpam-3403	309	6	we	we	PRON
ejpam-3403	309	7	have	have	VERB
ejpam-3403	309	8	∂lg	∂lg	PROPN
ejpam-3403	309	9	(	(	PUNCT
ejpam-3403	309	10	α	α	NOUN
ejpam-3403	309	11	)	)	PUNCT
ejpam-3403	309	12	n	n	PROPN
ejpam-3403	309	13	(	(	PUNCT
ejpam-3403	309	14	x	x	X
ejpam-3403	309	15	;	;	PUNCT
ejpam-3403	309	16	a	a	DET
ejpam-3403	309	17	,	,	PUNCT
ejpam-3403	309	18	b	b	NOUN
ejpam-3403	309	19	,	,	PUNCT
ejpam-3403	309	20	c	c	NOUN
ejpam-3403	309	21	)	)	PUNCT
ejpam-3403	309	22	∂xl	∂xl	PROPN
ejpam-3403	309	23	=	=	SYM
ejpam-3403	309	24	∂l	∂l	PROPN
ejpam-3403	309	25	{	{	PUNCT
ejpam-3403	309	26	n	n	X
ejpam-3403	309	27	!	!	PUNCT
ejpam-3403	309	28	(	(	PUNCT
ejpam-3403	309	29	n−α)!e[i(l(1	n−α)!e[i(l(1	ADP
ejpam-3403	309	30	)	)	PUNCT
ejpam-3403	309	31	+	+	NUM
ejpam-3403	309	32	·	·	PUNCT
ejpam-3403	309	33	·	·	PUNCT
ejpam-3403	309	34	·	·	PUNCT
ejpam-3403	310	1	+	+	CCONJ
ejpam-3403	310	2	l(α))ln	l(α))ln	CCONJ
ejpam-3403	310	3	ba	ba	PROPN
ejpam-3403	310	4	+	+	CCONJ
ejpam-3403	310	5	xlnc−	xlnc−	PROPN
ejpam-3403	310	6	α	α	NOUN
ejpam-3403	310	7	2	2	NUM
ejpam-3403	310	8	lnab	lnab	NOUN
ejpam-3403	310	9	]	]	PUNCT
ejpam-3403	310	10	n−α	n−α	ADJ
ejpam-3403	310	11	}	}	PUNCT
ejpam-3403	310	12	∂xl	∂xl	NOUN
ejpam-3403	310	13	=	=	SYM
ejpam-3403	310	14	n	n	CCONJ
ejpam-3403	310	15	!	!	PUNCT
ejpam-3403	311	1	(	(	PUNCT
ejpam-3403	311	2	n−	n−	NOUN
ejpam-3403	311	3	α	α	NOUN
ejpam-3403	311	4	)	)	PUNCT
ejpam-3403	311	5	!	!	PUNCT
ejpam-3403	312	1	(	(	PUNCT
ejpam-3403	312	2	lnc)l(n−	lnc)l(n−	NOUN
ejpam-3403	312	3	α)(n−	α)(n−	VERB
ejpam-3403	312	4	α−	α−	ADP
ejpam-3403	312	5	1	1	NUM
ejpam-3403	312	6	)	)	PUNCT
ejpam-3403	312	7	·	·	PUNCT
ejpam-3403	312	8	·	·	PUNCT
ejpam-3403	312	9	·	·	PUNCT
ejpam-3403	313	1	(	(	PUNCT
ejpam-3403	313	2	n−	n−	NOUN
ejpam-3403	313	3	α−	α−	ADP
ejpam-3403	313	4	l	l	NOUN
ejpam-3403	314	1	+	+	CCONJ
ejpam-3403	314	2	1	1	X
ejpam-3403	314	3	)	)	PUNCT
ejpam-3403	314	4	×	×	PROPN
ejpam-3403	314	5	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	314	6	)	)	PUNCT
ejpam-3403	314	7	+	+	NUM
ejpam-3403	314	8	·	·	PUNCT
ejpam-3403	314	9	·	·	PUNCT
ejpam-3403	314	10	·	·	PUNCT
ejpam-3403	315	1	+	+	NUM
ejpam-3403	315	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	315	3	b	b	X
ejpam-3403	315	4	a	a	PRON
ejpam-3403	315	5	+	+	NUM
ejpam-3403	315	6	xlnc−	xlnc−	ADJ
ejpam-3403	315	7	α	α	NOUN
ejpam-3403	315	8	2	2	NUM
ejpam-3403	315	9	lnab]n−α−l	lnab]n−α−l	NOUN
ejpam-3403	315	10	=	=	SYM
ejpam-3403	315	11	n!(lnc)l	n!(lnc)l	PROPN
ejpam-3403	315	12	(	(	PUNCT
ejpam-3403	315	13	n−	n−	NOUN
ejpam-3403	315	14	α	α	NOUN
ejpam-3403	315	15	)	)	PUNCT
ejpam-3403	315	16	!	!	PUNCT
ejpam-3403	316	1	(	(	PUNCT
ejpam-3403	316	2	n−	n−	NOUN
ejpam-3403	316	3	α	α	NOUN
ejpam-3403	316	4	)	)	PUNCT
ejpam-3403	316	5	!	!	PUNCT
ejpam-3403	317	1	(	(	PUNCT
ejpam-3403	317	2	n−	n−	NOUN
ejpam-3403	317	3	α−	α−	ADP
ejpam-3403	317	4	l	l	NOUN
ejpam-3403	317	5	)	)	PUNCT
ejpam-3403	317	6	!	!	PUNCT
ejpam-3403	318	1	(	(	PUNCT
ejpam-3403	318	2	n−	n−	NOUN
ejpam-3403	318	3	α−	α−	ADP
ejpam-3403	318	4	l	l	NOUN
ejpam-3403	318	5	)	)	PUNCT
ejpam-3403	318	6	!	!	PUNCT
ejpam-3403	319	1	(	(	PUNCT
ejpam-3403	319	2	n−	n−	NOUN
ejpam-3403	319	3	l	l	NOUN
ejpam-3403	319	4	)	)	PUNCT
ejpam-3403	319	5	!	!	PUNCT
ejpam-3403	320	1	g	g	NOUN
ejpam-3403	320	2	(	(	PUNCT
ejpam-3403	320	3	α	α	NOUN
ejpam-3403	320	4	)	)	PUNCT
ejpam-3403	320	5	n−l(x	n−l(x	PROPN
ejpam-3403	320	6	;	;	PUNCT
ejpam-3403	320	7	a	a	DET
ejpam-3403	320	8	,	,	PUNCT
ejpam-3403	320	9	b	b	NOUN
ejpam-3403	320	10	,	,	PUNCT
ejpam-3403	320	11	c	c	NOUN
ejpam-3403	320	12	)	)	PUNCT
ejpam-3403	320	13	=	=	SYM
ejpam-3403	320	14	(	(	PUNCT
ejpam-3403	320	15	n)l(lnc	n)l(lnc	NOUN
ejpam-3403	320	16	)	)	PUNCT
ejpam-3403	320	17	lg	lg	NOUN
ejpam-3403	320	18	(	(	PUNCT
ejpam-3403	320	19	α	α	NOUN
ejpam-3403	320	20	)	)	PUNCT
ejpam-3403	320	21	n−l(x	n−l(x	PROPN
ejpam-3403	320	22	;	;	PUNCT
ejpam-3403	320	23	a	a	DET
ejpam-3403	320	24	,	,	PUNCT
ejpam-3403	320	25	b	b	NOUN
ejpam-3403	320	26	,	,	PUNCT
ejpam-3403	320	27	c	c	NOUN
ejpam-3403	320	28	)	)	PUNCT
ejpam-3403	320	29	.	.	PUNCT
ejpam-3403	321	1	this	this	PRON
ejpam-3403	321	2	concludes	conclude	VERB
ejpam-3403	321	3	the	the	DET
ejpam-3403	321	4	proof	proof	NOUN
ejpam-3403	321	5	.	.	PUNCT
ejpam-3403	322	1	theorem	theorem	ADJ
ejpam-3403	322	2	10	10	NUM
ejpam-3403	322	3	.	.	PUNCT
ejpam-3403	323	1	let	let	VERB
ejpam-3403	323	2	a	a	DET
ejpam-3403	323	3	,	,	PUNCT
ejpam-3403	323	4	b	b	NOUN
ejpam-3403	323	5	and	and	CCONJ
ejpam-3403	323	6	c	c	PROPN
ejpam-3403	323	7	be	be	AUX
ejpam-3403	323	8	positive	positive	ADJ
ejpam-3403	323	9	integers	integer	NOUN
ejpam-3403	323	10	with	with	ADP
ejpam-3403	323	11	conditions	condition	NOUN
ejpam-3403	323	12	a	a	PRON
ejpam-3403	323	13	6=	6=	PROPN
ejpam-3403	323	14	b	b	PROPN
ejpam-3403	323	15	,	,	PUNCT
ejpam-3403	323	16	ab	ab	PROPN
ejpam-3403	323	17	6=	6=	ADP
ejpam-3403	323	18	1	1	NUM
ejpam-3403	323	19	and	and	CCONJ
ejpam-3403	323	20	c	c	PROPN
ejpam-3403	323	21	6=	6=	PROPN
ejpam-3403	323	22	1	1	NUM
ejpam-3403	323	23	,	,	PUNCT
ejpam-3403	323	24	for	for	ADP
ejpam-3403	323	25	α	α	PRON
ejpam-3403	323	26	∈	∈	PROPN
ejpam-3403	323	27	n+	n+	PROPN
ejpam-3403	323	28	,	,	PUNCT
ejpam-3403	323	29	x	x	PUNCT
ejpam-3403	323	30	∈	∈	PROPN
ejpam-3403	323	31	r	r	NOUN
ejpam-3403	323	32	,	,	PUNCT
ejpam-3403	323	33	n	n	PRON
ejpam-3403	323	34	≥	≥	NOUN
ejpam-3403	323	35	α	α	NOUN
ejpam-3403	323	36	,	,	PUNCT
ejpam-3403	323	37	for	for	ADP
ejpam-3403	323	38	all	all	DET
ejpam-3403	323	39	d	d	NOUN
ejpam-3403	323	40	,	,	PUNCT
ejpam-3403	323	41	l	l	PROPN
ejpam-3403	323	42	∈	∈	PROPN
ejpam-3403	323	43	n	n	X
ejpam-3403	323	44	,	,	PUNCT
ejpam-3403	323	45	then	then	ADV
ejpam-3403	323	46	we	we	PRON
ejpam-3403	323	47	get	get	VERB
ejpam-3403	323	48	n−α∑	n−α∑	NOUN
ejpam-3403	324	1	k	k	NOUN
ejpam-3403	325	1	=	=	NOUN
ejpam-3403	325	2	α	α	PROPN
ejpam-3403	325	3	k∑	k∑	NOUN
ejpam-3403	326	1	j	j	PROPN
ejpam-3403	327	1	=	=	NOUN
ejpam-3403	327	2	α	α	PROPN
ejpam-3403	327	3	(	(	PUNCT
ejpam-3403	327	4	n	n	NOUN
ejpam-3403	327	5	k	k	NOUN
ejpam-3403	327	6	)	)	PUNCT
ejpam-3403	327	7	(	(	PUNCT
ejpam-3403	327	8	k	k	PROPN
ejpam-3403	327	9	j	j	PROPN
ejpam-3403	327	10	)	)	PUNCT
ejpam-3403	327	11	dn−klk(−αlnc)k−jg(α	dn−klk(−αlnc)k−jg(α	PROPN
ejpam-3403	327	12	)	)	PUNCT
ejpam-3403	327	13	n−k(lx	n−k(lx	PROPN
ejpam-3403	327	14	;	;	PUNCT
ejpam-3403	327	15	a	a	DET
ejpam-3403	327	16	,	,	PUNCT
ejpam-3403	327	17	b	b	NOUN
ejpam-3403	327	18	,	,	PUNCT
ejpam-3403	327	19	c)g	c)g	PROPN
ejpam-3403	327	20	(	(	PUNCT
ejpam-3403	327	21	α	α	NOUN
ejpam-3403	327	22	)	)	PUNCT
ejpam-3403	327	23	j	j	PROPN
ejpam-3403	327	24	(	(	PUNCT
ejpam-3403	327	25	dx	dx	PROPN
ejpam-3403	327	26	;	;	PUNCT
ejpam-3403	327	27	a	a	DET
ejpam-3403	327	28	c	c	NOUN
ejpam-3403	327	29	,	,	PUNCT
ejpam-3403	327	30	b	b	PROPN
ejpam-3403	327	31	c	c	X
ejpam-3403	327	32	,	,	PUNCT
ejpam-3403	327	33	c	c	X
ejpam-3403	327	34	)	)	PUNCT
ejpam-3403	327	35	=	=	PRON
ejpam-3403	327	36	n−α∑	n−α∑	VERB
ejpam-3403	327	37	k	k	X
ejpam-3403	327	38	=	=	NOUN
ejpam-3403	327	39	α	α	PROPN
ejpam-3403	327	40	k∑	k∑	NOUN
ejpam-3403	328	1	j	j	PROPN
ejpam-3403	328	2	=	=	NOUN
ejpam-3403	328	3	α	α	PROPN
ejpam-3403	328	4	(	(	PUNCT
ejpam-3403	328	5	n	n	NOUN
ejpam-3403	328	6	k	k	NOUN
ejpam-3403	328	7	)	)	PUNCT
ejpam-3403	328	8	(	(	PUNCT
ejpam-3403	328	9	k	k	PROPN
ejpam-3403	328	10	j	j	PROPN
ejpam-3403	328	11	)	)	PUNCT
ejpam-3403	328	12	ln−kdk(−αlnc)k−jg(α	ln−kdk(−αlnc)k−jg(α	PROPN
ejpam-3403	328	13	)	)	PUNCT
ejpam-3403	328	14	n−k(dx	n−k(dx	PROPN
ejpam-3403	328	15	;	;	PUNCT
ejpam-3403	328	16	a	a	DET
ejpam-3403	328	17	,	,	PUNCT
ejpam-3403	328	18	b	b	NOUN
ejpam-3403	328	19	,	,	PUNCT
ejpam-3403	328	20	c)g	c)g	PROPN
ejpam-3403	328	21	(	(	PUNCT
ejpam-3403	328	22	α	α	NOUN
ejpam-3403	328	23	)	)	PUNCT
ejpam-3403	328	24	j	j	NOUN
ejpam-3403	328	25	(	(	PUNCT
ejpam-3403	328	26	lx	lx	NOUN
ejpam-3403	328	27	;	;	PUNCT
ejpam-3403	328	28	a	a	DET
ejpam-3403	328	29	c	c	NOUN
ejpam-3403	328	30	,	,	PUNCT
ejpam-3403	328	31	b	b	PROPN
ejpam-3403	329	1	c	c	X
ejpam-3403	329	2	,	,	PUNCT
ejpam-3403	329	3	c	c	NOUN
ejpam-3403	329	4	)	)	PUNCT
ejpam-3403	329	5	.	.	PUNCT
ejpam-3403	330	1	(	(	PUNCT
ejpam-3403	330	2	39	39	NUM
ejpam-3403	330	3	)	)	PUNCT
ejpam-3403	330	4	t.	t.	PROPN
ejpam-3403	330	5	hao	hao	PROPN
ejpam-3403	330	6	,	,	PUNCT
ejpam-3403	330	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	330	8	/	/	SYM
ejpam-3403	330	9	eur	eur	PROPN
ejpam-3403	330	10	.	.	PUNCT
ejpam-3403	331	1	j.	j.	PROPN
ejpam-3403	331	2	pure	pure	PROPN
ejpam-3403	331	3	appl	appl	PROPN
ejpam-3403	331	4	.	.	PROPN
ejpam-3403	331	5	math	math	PROPN
ejpam-3403	331	6	,	,	PUNCT
ejpam-3403	331	7	12	12	NUM
ejpam-3403	331	8	(	(	PUNCT
ejpam-3403	331	9	2	2	NUM
ejpam-3403	331	10	)	)	PUNCT
ejpam-3403	331	11	(	(	PUNCT
ejpam-3403	331	12	2019	2019	NUM
ejpam-3403	331	13	)	)	PUNCT
ejpam-3403	331	14	,	,	PUNCT
ejpam-3403	331	15	605	605	NUM
ejpam-3403	331	16	-	-	SYM
ejpam-3403	331	17	621	621	NUM
ejpam-3403	331	18	615	615	NUM
ejpam-3403	331	19	proof	proof	NOUN
ejpam-3403	331	20	.	.	PUNCT
ejpam-3403	332	1	firstly	firstly	ADV
ejpam-3403	332	2	,	,	PUNCT
ejpam-3403	332	3	we	we	PRON
ejpam-3403	332	4	have	have	VERB
ejpam-3403	332	5	n	n	X
ejpam-3403	332	6	!	!	PUNCT
ejpam-3403	333	1	(	(	PUNCT
ejpam-3403	333	2	n−	n−	NOUN
ejpam-3403	333	3	2α	2α	NOUN
ejpam-3403	333	4	)	)	PUNCT
ejpam-3403	333	5	!	!	PUNCT
ejpam-3403	334	1	e[i(d+	e[i(d+	NUM
ejpam-3403	335	1	l)(l(1	l)(l(1	NOUN
ejpam-3403	335	2	)	)	PUNCT
ejpam-3403	336	1	+	+	CCONJ
ejpam-3403	336	2	·	·	PUNCT
ejpam-3403	336	3	·	·	PUNCT
ejpam-3403	336	4	·	·	PUNCT
ejpam-3403	336	5	+	+	NUM
ejpam-3403	336	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	336	7	b	b	X
ejpam-3403	336	8	a	a	DET
ejpam-3403	336	9	+	+	NUM
ejpam-3403	336	10	2dlxlnc−	2dlxlnc−	NUM
ejpam-3403	336	11	α	α	NOUN
ejpam-3403	336	12	2	2	NUM
ejpam-3403	336	13	(	(	PUNCT
ejpam-3403	336	14	d+	d+	X
ejpam-3403	336	15	l)lnab]n−2α	l)lnab]n−2α	NOUN
ejpam-3403	336	16	=	=	SYM
ejpam-3403	336	17	n	n	X
ejpam-3403	336	18	!	!	PUNCT
ejpam-3403	337	1	(	(	PUNCT
ejpam-3403	337	2	n−	n−	NOUN
ejpam-3403	337	3	2α	2α	NOUN
ejpam-3403	337	4	)	)	PUNCT
ejpam-3403	337	5	!	!	PUNCT
ejpam-3403	338	1	n−2α∑	n−2α∑	PRON
ejpam-3403	339	1	k	k	X
ejpam-3403	340	1	=	=	NOUN
ejpam-3403	340	2	α	α	X
ejpam-3403	340	3	(	(	PUNCT
ejpam-3403	340	4	n−	n−	NOUN
ejpam-3403	340	5	2α	2α	NOUN
ejpam-3403	340	6	k	k	PROPN
ejpam-3403	340	7	−	−	PROPN
ejpam-3403	340	8	α	α	X
ejpam-3403	340	9	)	)	PUNCT
ejpam-3403	340	10	e[id(l(1	e[id(l(1	PROPN
ejpam-3403	340	11	)	)	PUNCT
ejpam-3403	341	1	+	+	CCONJ
ejpam-3403	341	2	·	·	PUNCT
ejpam-3403	341	3	·	·	PUNCT
ejpam-3403	341	4	·	·	PUNCT
ejpam-3403	341	5	+	+	NUM
ejpam-3403	341	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	341	7	b	b	X
ejpam-3403	341	8	a	a	DET
ejpam-3403	341	9	+	+	PUNCT
ejpam-3403	341	10	dlxlnc−	dlxlnc−	NOUN
ejpam-3403	341	11	αd	αd	PROPN
ejpam-3403	341	12	2	2	NUM
ejpam-3403	341	13	lnab]n−k−α	lnab]n−k−α	NOUN
ejpam-3403	341	14	×	×	PROPN
ejpam-3403	341	15	e[il(l(1	e[il(l(1	PROPN
ejpam-3403	341	16	)	)	PUNCT
ejpam-3403	341	17	+	+	CCONJ
ejpam-3403	341	18	·	·	PUNCT
ejpam-3403	341	19	·	·	PUNCT
ejpam-3403	341	20	·	·	PUNCT
ejpam-3403	342	1	+	+	NUM
ejpam-3403	342	2	l(α))ln	l(α))ln	PROPN
ejpam-3403	342	3	b	b	X
ejpam-3403	342	4	a	a	DET
ejpam-3403	342	5	+	+	NOUN
ejpam-3403	342	6	dlxlnc−	dlxlnc−	NOUN
ejpam-3403	342	7	αl	αl	ADP
ejpam-3403	342	8	2	2	NUM
ejpam-3403	342	9	lnab]k−α	lnab]k−α	NOUN
ejpam-3403	342	10	=	=	PUNCT
ejpam-3403	342	11	(	(	PUNCT
ejpam-3403	342	12	dl)−αn	dl)−αn	NOUN
ejpam-3403	342	13	!	!	PUNCT
ejpam-3403	343	1	(	(	PUNCT
ejpam-3403	343	2	n−	n−	NOUN
ejpam-3403	343	3	2α	2α	NOUN
ejpam-3403	343	4	)	)	PUNCT
ejpam-3403	343	5	!	!	PUNCT
ejpam-3403	344	1	n−α∑	n−α∑	X
ejpam-3403	345	1	k	k	X
ejpam-3403	346	1	=	=	NOUN
ejpam-3403	346	2	α	α	X
ejpam-3403	346	3	(	(	PUNCT
ejpam-3403	346	4	n−	n−	NOUN
ejpam-3403	346	5	2α	2α	NOUN
ejpam-3403	346	6	k	k	PROPN
ejpam-3403	346	7	−	−	PROPN
ejpam-3403	346	8	α	α	NOUN
ejpam-3403	346	9	)	)	PUNCT
ejpam-3403	347	1	(	(	PUNCT
ejpam-3403	347	2	n−	n−	NOUN
ejpam-3403	347	3	k	k	NOUN
ejpam-3403	347	4	−	−	NOUN
ejpam-3403	347	5	α)!dn−kg	α)!dn−kg	NOUN
ejpam-3403	347	6	(	(	PUNCT
ejpam-3403	347	7	α	α	NOUN
ejpam-3403	347	8	)	)	PUNCT
ejpam-3403	347	9	n−k(lx	n−k(lx	PROPN
ejpam-3403	347	10	;	;	PUNCT
ejpam-3403	347	11	a	a	DET
ejpam-3403	347	12	,	,	PUNCT
ejpam-3403	347	13	b	b	NOUN
ejpam-3403	347	14	,	,	PUNCT
ejpam-3403	347	15	c	c	NOUN
ejpam-3403	347	16	)	)	PUNCT
ejpam-3403	347	17	(	(	PUNCT
ejpam-3403	347	18	n−	n−	NOUN
ejpam-3403	347	19	k	k	NOUN
ejpam-3403	347	20	)	)	PUNCT
ejpam-3403	347	21	!	!	PUNCT
ejpam-3403	348	1	(	(	PUNCT
ejpam-3403	348	2	k	k	X
ejpam-3403	348	3	−	−	PROPN
ejpam-3403	349	1	α)!lkg	α)!lkg	PROPN
ejpam-3403	349	2	(	(	PUNCT
ejpam-3403	349	3	α	α	NOUN
ejpam-3403	349	4	)	)	PUNCT
ejpam-3403	349	5	k	k	PROPN
ejpam-3403	349	6	(	(	PUNCT
ejpam-3403	349	7	dx	dx	PROPN
ejpam-3403	349	8	;	;	PUNCT
ejpam-3403	349	9	a	a	DET
ejpam-3403	349	10	,	,	PUNCT
ejpam-3403	349	11	b	b	NOUN
ejpam-3403	349	12	,	,	PUNCT
ejpam-3403	349	13	c	c	NOUN
ejpam-3403	349	14	)	)	PUNCT
ejpam-3403	349	15	k	k	NOUN
ejpam-3403	349	16	!	!	PUNCT
ejpam-3403	349	17	=	=	PUNCT
ejpam-3403	350	1	(	(	PUNCT
ejpam-3403	350	2	dl)−α	dl)−α	PROPN
ejpam-3403	350	3	n−α∑	n−α∑	VERB
ejpam-3403	350	4	k	k	PROPN
ejpam-3403	351	1	=	=	NOUN
ejpam-3403	351	2	α	α	X
ejpam-3403	351	3	(	(	PUNCT
ejpam-3403	351	4	n	n	NOUN
ejpam-3403	351	5	k	k	NOUN
ejpam-3403	351	6	)	)	PUNCT
ejpam-3403	351	7	dn−klkg	dn−klkg	PROPN
ejpam-3403	351	8	(	(	PUNCT
ejpam-3403	351	9	α	α	NOUN
ejpam-3403	351	10	)	)	PUNCT
ejpam-3403	351	11	n−k(lx	n−k(lx	PROPN
ejpam-3403	351	12	;	;	PUNCT
ejpam-3403	351	13	a	a	DET
ejpam-3403	351	14	,	,	PUNCT
ejpam-3403	351	15	b	b	NOUN
ejpam-3403	351	16	,	,	PUNCT
ejpam-3403	351	17	c)g	c)g	PROPN
ejpam-3403	351	18	(	(	PUNCT
ejpam-3403	351	19	α	α	X
ejpam-3403	351	20	)	)	PUNCT
ejpam-3403	351	21	k	k	PROPN
ejpam-3403	351	22	(	(	PUNCT
ejpam-3403	351	23	dx	dx	PROPN
ejpam-3403	351	24	;	;	PUNCT
ejpam-3403	351	25	a	a	DET
ejpam-3403	351	26	,	,	PUNCT
ejpam-3403	351	27	b	b	NOUN
ejpam-3403	351	28	,	,	PUNCT
ejpam-3403	351	29	c	c	NOUN
ejpam-3403	351	30	)	)	PUNCT
ejpam-3403	351	31	,	,	PUNCT
ejpam-3403	351	32	according	accord	VERB
ejpam-3403	351	33	to	to	ADP
ejpam-3403	351	34	eq.(35	eq.(35	NOUN
ejpam-3403	351	35	)	)	PUNCT
ejpam-3403	351	36	,	,	PUNCT
ejpam-3403	351	37	(	(	PUNCT
ejpam-3403	351	38	dl)−α	dl)−α	PROPN
ejpam-3403	351	39	n−α∑	n−α∑	VERB
ejpam-3403	351	40	k	k	PROPN
ejpam-3403	352	1	=	=	NOUN
ejpam-3403	352	2	α	α	X
ejpam-3403	352	3	(	(	PUNCT
ejpam-3403	352	4	n	n	NOUN
ejpam-3403	352	5	k	k	NOUN
ejpam-3403	352	6	)	)	PUNCT
ejpam-3403	352	7	dn−klkg	dn−klkg	PROPN
ejpam-3403	352	8	(	(	PUNCT
ejpam-3403	352	9	α	α	NOUN
ejpam-3403	352	10	)	)	PUNCT
ejpam-3403	352	11	n−k(lx	n−k(lx	PROPN
ejpam-3403	352	12	;	;	PUNCT
ejpam-3403	352	13	a	a	DET
ejpam-3403	352	14	,	,	PUNCT
ejpam-3403	352	15	b	b	NOUN
ejpam-3403	352	16	,	,	PUNCT
ejpam-3403	352	17	c)g	c)g	PROPN
ejpam-3403	352	18	(	(	PUNCT
ejpam-3403	352	19	α	α	X
ejpam-3403	352	20	)	)	PUNCT
ejpam-3403	352	21	k	k	PROPN
ejpam-3403	352	22	(	(	PUNCT
ejpam-3403	352	23	dx	dx	PROPN
ejpam-3403	352	24	;	;	PUNCT
ejpam-3403	352	25	a	a	DET
ejpam-3403	352	26	,	,	PUNCT
ejpam-3403	352	27	b	b	NOUN
ejpam-3403	352	28	,	,	PUNCT
ejpam-3403	352	29	c	c	NOUN
ejpam-3403	352	30	)	)	PUNCT
ejpam-3403	352	31	=	=	SYM
ejpam-3403	353	1	(	(	PUNCT
ejpam-3403	353	2	dl)−α	dl)−α	PROPN
ejpam-3403	353	3	n−α∑	n−α∑	VERB
ejpam-3403	353	4	k	k	PROPN
ejpam-3403	354	1	=	=	NOUN
ejpam-3403	354	2	α	α	X
ejpam-3403	354	3	(	(	PUNCT
ejpam-3403	354	4	n	n	NOUN
ejpam-3403	354	5	k	k	NOUN
ejpam-3403	354	6	)	)	PUNCT
ejpam-3403	354	7	dn−klkg	dn−klkg	PROPN
ejpam-3403	354	8	(	(	PUNCT
ejpam-3403	354	9	α	α	NOUN
ejpam-3403	354	10	)	)	PUNCT
ejpam-3403	354	11	n−k(lx	n−k(lx	PROPN
ejpam-3403	354	12	;	;	PUNCT
ejpam-3403	354	13	a	a	DET
ejpam-3403	354	14	,	,	PUNCT
ejpam-3403	354	15	b	b	NOUN
ejpam-3403	354	16	,	,	PUNCT
ejpam-3403	354	17	c	c	NOUN
ejpam-3403	354	18	)	)	PUNCT
ejpam-3403	354	19	k∑	k∑	NOUN
ejpam-3403	355	1	j	j	PROPN
ejpam-3403	356	1	=	=	NOUN
ejpam-3403	356	2	α	α	PROPN
ejpam-3403	356	3	(	(	PUNCT
ejpam-3403	356	4	k	k	PROPN
ejpam-3403	356	5	j	j	PROPN
ejpam-3403	356	6	)	)	PUNCT
ejpam-3403	356	7	(	(	PUNCT
ejpam-3403	356	8	−αlnc)k−jg(α	−αlnc)k−jg(α	NOUN
ejpam-3403	356	9	)	)	PUNCT
ejpam-3403	356	10	j	j	PROPN
ejpam-3403	356	11	(	(	PUNCT
ejpam-3403	356	12	dx	dx	PROPN
ejpam-3403	356	13	;	;	PUNCT
ejpam-3403	356	14	a	a	DET
ejpam-3403	356	15	c	c	NOUN
ejpam-3403	356	16	,	,	PUNCT
ejpam-3403	356	17	b	b	PROPN
ejpam-3403	356	18	c	c	X
ejpam-3403	356	19	,	,	PUNCT
ejpam-3403	356	20	c	c	NOUN
ejpam-3403	356	21	)	)	PUNCT
ejpam-3403	356	22	.	.	PUNCT
ejpam-3403	357	1	(	(	PUNCT
ejpam-3403	357	2	40	40	NUM
ejpam-3403	357	3	)	)	PUNCT
ejpam-3403	357	4	secondly	secondly	ADV
ejpam-3403	357	5	,	,	PUNCT
ejpam-3403	357	6	we	we	PRON
ejpam-3403	357	7	have	have	VERB
ejpam-3403	357	8	n	n	X
ejpam-3403	357	9	!	!	PUNCT
ejpam-3403	358	1	(	(	PUNCT
ejpam-3403	358	2	n−	n−	NOUN
ejpam-3403	358	3	2α	2α	NOUN
ejpam-3403	358	4	)	)	PUNCT
ejpam-3403	358	5	!	!	PUNCT
ejpam-3403	359	1	e[i(d+	e[i(d+	NUM
ejpam-3403	360	1	l)(l(1	l)(l(1	NOUN
ejpam-3403	360	2	)	)	PUNCT
ejpam-3403	361	1	+	+	CCONJ
ejpam-3403	361	2	·	·	PUNCT
ejpam-3403	361	3	·	·	PUNCT
ejpam-3403	361	4	·	·	PUNCT
ejpam-3403	361	5	+	+	NUM
ejpam-3403	361	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	361	7	b	b	X
ejpam-3403	361	8	a	a	DET
ejpam-3403	361	9	+	+	NUM
ejpam-3403	361	10	2dlxlnc−	2dlxlnc−	NUM
ejpam-3403	361	11	α	α	NOUN
ejpam-3403	361	12	2	2	NUM
ejpam-3403	361	13	(	(	PUNCT
ejpam-3403	361	14	d+	d+	X
ejpam-3403	361	15	l)lnab]n−2α	l)lnab]n−2α	NOUN
ejpam-3403	361	16	=	=	SYM
ejpam-3403	361	17	n	n	X
ejpam-3403	361	18	!	!	PUNCT
ejpam-3403	362	1	(	(	PUNCT
ejpam-3403	362	2	n−	n−	NOUN
ejpam-3403	362	3	2α	2α	NOUN
ejpam-3403	362	4	)	)	PUNCT
ejpam-3403	362	5	!	!	PUNCT
ejpam-3403	363	1	n−2α∑	n−2α∑	PRON
ejpam-3403	364	1	k	k	X
ejpam-3403	365	1	=	=	NOUN
ejpam-3403	365	2	α	α	X
ejpam-3403	365	3	(	(	PUNCT
ejpam-3403	365	4	n−	n−	NOUN
ejpam-3403	365	5	2α	2α	NOUN
ejpam-3403	365	6	k	k	PROPN
ejpam-3403	365	7	−	−	PROPN
ejpam-3403	365	8	α	α	NOUN
ejpam-3403	365	9	)	)	PUNCT
ejpam-3403	365	10	e[il(l(1	e[il(l(1	PROPN
ejpam-3403	365	11	)	)	PUNCT
ejpam-3403	366	1	+	+	CCONJ
ejpam-3403	366	2	·	·	PUNCT
ejpam-3403	366	3	·	·	PUNCT
ejpam-3403	366	4	·	·	PUNCT
ejpam-3403	366	5	+	+	NUM
ejpam-3403	366	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	366	7	b	b	X
ejpam-3403	366	8	a	a	DET
ejpam-3403	366	9	+	+	NOUN
ejpam-3403	366	10	dlxlnc−	dlxlnc−	NOUN
ejpam-3403	366	11	αl	αl	ADP
ejpam-3403	366	12	2	2	NUM
ejpam-3403	366	13	lnab]n−k−α	lnab]n−k−α	NOUN
ejpam-3403	366	14	×	×	PROPN
ejpam-3403	366	15	e[id(l(1	e[id(l(1	PROPN
ejpam-3403	366	16	)	)	PUNCT
ejpam-3403	367	1	+	+	CCONJ
ejpam-3403	367	2	·	·	PUNCT
ejpam-3403	367	3	·	·	PUNCT
ejpam-3403	367	4	·	·	PUNCT
ejpam-3403	367	5	+	+	NUM
ejpam-3403	367	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	367	7	b	b	X
ejpam-3403	367	8	a	a	DET
ejpam-3403	367	9	+	+	PUNCT
ejpam-3403	367	10	dlxlnc−	dlxlnc−	NOUN
ejpam-3403	367	11	αd	αd	PROPN
ejpam-3403	367	12	2	2	NUM
ejpam-3403	367	13	lnab]k−α	lnab]k−α	NOUN
ejpam-3403	367	14	=	=	PUNCT
ejpam-3403	367	15	(	(	PUNCT
ejpam-3403	367	16	ld)−αn	ld)−αn	ADJ
ejpam-3403	367	17	!	!	PUNCT
ejpam-3403	368	1	(	(	PUNCT
ejpam-3403	368	2	n−	n−	NOUN
ejpam-3403	368	3	2α	2α	NOUN
ejpam-3403	368	4	)	)	PUNCT
ejpam-3403	368	5	!	!	PUNCT
ejpam-3403	369	1	n−α∑	n−α∑	X
ejpam-3403	370	1	k	k	X
ejpam-3403	371	1	=	=	NOUN
ejpam-3403	371	2	α	α	X
ejpam-3403	371	3	(	(	PUNCT
ejpam-3403	371	4	n−	n−	NOUN
ejpam-3403	371	5	2α	2α	NOUN
ejpam-3403	371	6	k	k	PROPN
ejpam-3403	371	7	−	−	PROPN
ejpam-3403	371	8	α	α	NOUN
ejpam-3403	371	9	)	)	PUNCT
ejpam-3403	372	1	(	(	PUNCT
ejpam-3403	372	2	n−	n−	NOUN
ejpam-3403	372	3	k	k	NOUN
ejpam-3403	372	4	−	−	NUM
ejpam-3403	373	1	α)!ln−kg	α)!ln−kg	NOUN
ejpam-3403	373	2	(	(	PUNCT
ejpam-3403	373	3	α	α	NOUN
ejpam-3403	373	4	)	)	PUNCT
ejpam-3403	373	5	n−k(dx	n−k(dx	PROPN
ejpam-3403	373	6	;	;	PUNCT
ejpam-3403	373	7	a	a	DET
ejpam-3403	373	8	,	,	PUNCT
ejpam-3403	373	9	b	b	NOUN
ejpam-3403	373	10	,	,	PUNCT
ejpam-3403	373	11	c	c	NOUN
ejpam-3403	373	12	)	)	PUNCT
ejpam-3403	373	13	(	(	PUNCT
ejpam-3403	373	14	n−	n−	NOUN
ejpam-3403	373	15	k	k	NOUN
ejpam-3403	373	16	)	)	PUNCT
ejpam-3403	373	17	!	!	PUNCT
ejpam-3403	374	1	(	(	PUNCT
ejpam-3403	374	2	k	k	X
ejpam-3403	374	3	−	−	PROPN
ejpam-3403	374	4	α)!dkg	α)!dkg	PROPN
ejpam-3403	374	5	(	(	PUNCT
ejpam-3403	374	6	α	α	NOUN
ejpam-3403	374	7	)	)	PUNCT
ejpam-3403	374	8	k	k	NOUN
ejpam-3403	374	9	(	(	PUNCT
ejpam-3403	374	10	lx	lx	NOUN
ejpam-3403	374	11	;	;	PUNCT
ejpam-3403	374	12	a	a	DET
ejpam-3403	374	13	,	,	PUNCT
ejpam-3403	374	14	b	b	NOUN
ejpam-3403	374	15	,	,	PUNCT
ejpam-3403	374	16	c	c	NOUN
ejpam-3403	374	17	)	)	PUNCT
ejpam-3403	374	18	k	k	NOUN
ejpam-3403	374	19	!	!	PUNCT
ejpam-3403	374	20	=	=	PUNCT
ejpam-3403	374	21	(	(	PUNCT
ejpam-3403	374	22	ld)−α	ld)−α	PROPN
ejpam-3403	374	23	n−α∑	n−α∑	NOUN
ejpam-3403	374	24	k	k	X
ejpam-3403	374	25	=	=	NOUN
ejpam-3403	374	26	α	α	X
ejpam-3403	374	27	(	(	PUNCT
ejpam-3403	374	28	n	n	NOUN
ejpam-3403	374	29	k	k	PROPN
ejpam-3403	374	30	)	)	PUNCT
ejpam-3403	374	31	ln−kdkg	ln−kdkg	NOUN
ejpam-3403	374	32	(	(	PUNCT
ejpam-3403	374	33	α	α	NOUN
ejpam-3403	374	34	)	)	PUNCT
ejpam-3403	374	35	n−k(dx	n−k(dx	PROPN
ejpam-3403	374	36	;	;	PUNCT
ejpam-3403	374	37	a	a	DET
ejpam-3403	374	38	,	,	PUNCT
ejpam-3403	374	39	b	b	NOUN
ejpam-3403	374	40	,	,	PUNCT
ejpam-3403	374	41	c)g	c)g	PROPN
ejpam-3403	374	42	(	(	PUNCT
ejpam-3403	374	43	α	α	X
ejpam-3403	374	44	)	)	PUNCT
ejpam-3403	374	45	k	k	NOUN
ejpam-3403	374	46	(	(	PUNCT
ejpam-3403	374	47	lx	lx	NOUN
ejpam-3403	374	48	;	;	PUNCT
ejpam-3403	374	49	a	a	DET
ejpam-3403	374	50	,	,	PUNCT
ejpam-3403	374	51	b	b	NOUN
ejpam-3403	374	52	,	,	PUNCT
ejpam-3403	374	53	c	c	NOUN
ejpam-3403	374	54	)	)	PUNCT
ejpam-3403	374	55	=	=	SYM
ejpam-3403	374	56	(	(	PUNCT
ejpam-3403	374	57	ld)−α	ld)−α	PROPN
ejpam-3403	374	58	n−α∑	n−α∑	NOUN
ejpam-3403	374	59	k	k	X
ejpam-3403	374	60	=	=	NOUN
ejpam-3403	374	61	α	α	X
ejpam-3403	374	62	(	(	PUNCT
ejpam-3403	374	63	n	n	NOUN
ejpam-3403	374	64	k	k	PROPN
ejpam-3403	374	65	)	)	PUNCT
ejpam-3403	374	66	ln−kdkg	ln−kdkg	NOUN
ejpam-3403	374	67	(	(	PUNCT
ejpam-3403	374	68	α	α	NOUN
ejpam-3403	374	69	)	)	PUNCT
ejpam-3403	374	70	n−k(dx	n−k(dx	PROPN
ejpam-3403	374	71	;	;	PUNCT
ejpam-3403	374	72	a	a	DET
ejpam-3403	374	73	,	,	PUNCT
ejpam-3403	374	74	b	b	NOUN
ejpam-3403	374	75	,	,	PUNCT
ejpam-3403	374	76	c	c	NOUN
ejpam-3403	374	77	)	)	PUNCT
ejpam-3403	374	78	k∑	k∑	NOUN
ejpam-3403	375	1	j	j	PROPN
ejpam-3403	376	1	=	=	NOUN
ejpam-3403	376	2	α	α	PROPN
ejpam-3403	376	3	(	(	PUNCT
ejpam-3403	376	4	k	k	PROPN
ejpam-3403	376	5	j	j	PROPN
ejpam-3403	376	6	)	)	PUNCT
ejpam-3403	376	7	(	(	PUNCT
ejpam-3403	376	8	−αlnc)k−jg(α	−αlnc)k−jg(α	NOUN
ejpam-3403	376	9	)	)	PUNCT
ejpam-3403	376	10	j	j	PROPN
ejpam-3403	376	11	(	(	PUNCT
ejpam-3403	376	12	lx	lx	NOUN
ejpam-3403	376	13	;	;	PUNCT
ejpam-3403	376	14	a	a	DET
ejpam-3403	376	15	c	c	NOUN
ejpam-3403	376	16	,	,	PUNCT
ejpam-3403	376	17	b	b	PROPN
ejpam-3403	376	18	c	c	X
ejpam-3403	376	19	,	,	PUNCT
ejpam-3403	376	20	c	c	NOUN
ejpam-3403	376	21	)	)	PUNCT
ejpam-3403	376	22	.	.	PUNCT
ejpam-3403	377	1	(	(	PUNCT
ejpam-3403	377	2	41	41	NUM
ejpam-3403	377	3	)	)	PUNCT
ejpam-3403	377	4	by	by	ADP
ejpam-3403	377	5	equating	equate	VERB
ejpam-3403	377	6	eq.(40	eq.(40	NOUN
ejpam-3403	377	7	)	)	PUNCT
ejpam-3403	377	8	and	and	CCONJ
ejpam-3403	377	9	eq.(41	eq.(41	PROPN
ejpam-3403	377	10	)	)	PUNCT
ejpam-3403	377	11	,	,	PUNCT
ejpam-3403	377	12	we	we	PRON
ejpam-3403	377	13	arrive	arrive	VERB
ejpam-3403	377	14	at	at	ADP
ejpam-3403	377	15	the	the	DET
ejpam-3403	377	16	desired	desire	VERB
ejpam-3403	377	17	result	result	NOUN
ejpam-3403	377	18	.	.	PUNCT
ejpam-3403	378	1	t.	t.	PROPN
ejpam-3403	378	2	hao	hao	PROPN
ejpam-3403	378	3	,	,	PUNCT
ejpam-3403	378	4	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	378	5	/	/	SYM
ejpam-3403	378	6	eur	eur	PROPN
ejpam-3403	378	7	.	.	PUNCT
ejpam-3403	379	1	j.	j.	PROPN
ejpam-3403	379	2	pure	pure	PROPN
ejpam-3403	379	3	appl	appl	PROPN
ejpam-3403	379	4	.	.	PROPN
ejpam-3403	379	5	math	math	PROPN
ejpam-3403	379	6	,	,	PUNCT
ejpam-3403	379	7	12	12	NUM
ejpam-3403	379	8	(	(	PUNCT
ejpam-3403	379	9	2	2	NUM
ejpam-3403	379	10	)	)	PUNCT
ejpam-3403	379	11	(	(	PUNCT
ejpam-3403	379	12	2019	2019	NUM
ejpam-3403	379	13	)	)	PUNCT
ejpam-3403	379	14	,	,	PUNCT
ejpam-3403	379	15	605	605	NUM
ejpam-3403	379	16	-	-	SYM
ejpam-3403	379	17	621	621	NUM
ejpam-3403	379	18	616	616	NUM
ejpam-3403	379	19	from	from	ADP
ejpam-3403	379	20	the	the	DET
ejpam-3403	379	21	proof	proof	NOUN
ejpam-3403	379	22	of	of	ADP
ejpam-3403	379	23	theorem	theorem	ADJ
ejpam-3403	379	24	10	10	NUM
ejpam-3403	379	25	,	,	PUNCT
ejpam-3403	379	26	we	we	PRON
ejpam-3403	379	27	get	get	VERB
ejpam-3403	379	28	the	the	DET
ejpam-3403	379	29	following	follow	VERB
ejpam-3403	379	30	identity	identity	NOUN
ejpam-3403	379	31	:	:	PUNCT
ejpam-3403	379	32	n−α∑	n−α∑	X
ejpam-3403	379	33	k	k	X
ejpam-3403	380	1	=	=	NOUN
ejpam-3403	380	2	α	α	X
ejpam-3403	380	3	(	(	PUNCT
ejpam-3403	380	4	n	n	NOUN
ejpam-3403	380	5	k	k	NOUN
ejpam-3403	380	6	)	)	PUNCT
ejpam-3403	380	7	dn−klkg	dn−klkg	PROPN
ejpam-3403	380	8	(	(	PUNCT
ejpam-3403	380	9	α	α	NOUN
ejpam-3403	380	10	)	)	PUNCT
ejpam-3403	380	11	n−k(lx	n−k(lx	PROPN
ejpam-3403	380	12	;	;	PUNCT
ejpam-3403	380	13	a	a	DET
ejpam-3403	380	14	,	,	PUNCT
ejpam-3403	380	15	b	b	NOUN
ejpam-3403	380	16	,	,	PUNCT
ejpam-3403	380	17	c)g	c)g	PROPN
ejpam-3403	380	18	(	(	PUNCT
ejpam-3403	380	19	α	α	X
ejpam-3403	380	20	)	)	PUNCT
ejpam-3403	380	21	k	k	PROPN
ejpam-3403	380	22	(	(	PUNCT
ejpam-3403	380	23	dx	dx	PROPN
ejpam-3403	380	24	;	;	PUNCT
ejpam-3403	380	25	a	a	DET
ejpam-3403	380	26	,	,	PUNCT
ejpam-3403	380	27	b	b	NOUN
ejpam-3403	380	28	,	,	PUNCT
ejpam-3403	380	29	c	c	NOUN
ejpam-3403	380	30	)	)	PUNCT
ejpam-3403	380	31	=	=	PRON
ejpam-3403	380	32	n−α∑	n−α∑	VERB
ejpam-3403	381	1	k	k	X
ejpam-3403	381	2	=	=	NOUN
ejpam-3403	381	3	α	α	X
ejpam-3403	381	4	(	(	PUNCT
ejpam-3403	381	5	n	n	NOUN
ejpam-3403	381	6	k	k	PROPN
ejpam-3403	381	7	)	)	PUNCT
ejpam-3403	381	8	ln−kdkg	ln−kdkg	NOUN
ejpam-3403	381	9	(	(	PUNCT
ejpam-3403	381	10	α	α	NOUN
ejpam-3403	381	11	)	)	PUNCT
ejpam-3403	381	12	n−k(dx	n−k(dx	PROPN
ejpam-3403	381	13	;	;	PUNCT
ejpam-3403	381	14	a	a	DET
ejpam-3403	381	15	,	,	PUNCT
ejpam-3403	381	16	b	b	NOUN
ejpam-3403	381	17	,	,	PUNCT
ejpam-3403	381	18	c)g	c)g	PROPN
ejpam-3403	381	19	(	(	PUNCT
ejpam-3403	381	20	α	α	X
ejpam-3403	381	21	)	)	PUNCT
ejpam-3403	381	22	k	k	NOUN
ejpam-3403	381	23	(	(	PUNCT
ejpam-3403	381	24	lx	lx	NOUN
ejpam-3403	381	25	;	;	PUNCT
ejpam-3403	381	26	a	a	DET
ejpam-3403	381	27	,	,	PUNCT
ejpam-3403	381	28	b	b	NOUN
ejpam-3403	381	29	,	,	PUNCT
ejpam-3403	381	30	c	c	NOUN
ejpam-3403	381	31	)	)	PUNCT
ejpam-3403	381	32	.	.	PUNCT
ejpam-3403	382	1	(	(	PUNCT
ejpam-3403	382	2	42	42	NUM
ejpam-3403	382	3	)	)	PUNCT
ejpam-3403	382	4	corollary	corollary	NOUN
ejpam-3403	382	5	6	6	NUM
ejpam-3403	382	6	.	.	PUNCT
ejpam-3403	383	1	setting	set	VERB
ejpam-3403	383	2	α	α	NOUN
ejpam-3403	383	3	=	=	SYM
ejpam-3403	383	4	1	1	NUM
ejpam-3403	383	5	in	in	ADP
ejpam-3403	383	6	eq.(39	eq.(39	NOUN
ejpam-3403	383	7	)	)	PUNCT
ejpam-3403	383	8	,	,	PUNCT
ejpam-3403	383	9	we	we	PRON
ejpam-3403	383	10	obtain	obtain	VERB
ejpam-3403	383	11	n−1∑	n−1∑	PROPN
ejpam-3403	383	12	k=1	k=1	PUNCT
ejpam-3403	383	13	k∑	k∑	PROPN
ejpam-3403	384	1	j=1	j=1	NOUN
ejpam-3403	384	2	(	(	PUNCT
ejpam-3403	384	3	n	n	NOUN
ejpam-3403	384	4	k	k	NOUN
ejpam-3403	384	5	)	)	PUNCT
ejpam-3403	384	6	(	(	PUNCT
ejpam-3403	384	7	k	k	PROPN
ejpam-3403	384	8	j	j	PROPN
ejpam-3403	384	9	)	)	PUNCT
ejpam-3403	384	10	dn−klk(−lnc)k−jgn−k(lx	dn−klk(−lnc)k−jgn−k(lx	NOUN
ejpam-3403	384	11	;	;	PUNCT
ejpam-3403	384	12	a	a	DET
ejpam-3403	384	13	,	,	PUNCT
ejpam-3403	384	14	b	b	NOUN
ejpam-3403	384	15	,	,	PUNCT
ejpam-3403	384	16	c)gj(dx	c)gj(dx	NOUN
ejpam-3403	384	17	;	;	PUNCT
ejpam-3403	384	18	a	a	DET
ejpam-3403	384	19	c	c	NOUN
ejpam-3403	384	20	,	,	PUNCT
ejpam-3403	384	21	b	b	PROPN
ejpam-3403	384	22	c	c	X
ejpam-3403	384	23	,	,	PUNCT
ejpam-3403	384	24	c	c	X
ejpam-3403	384	25	)	)	PUNCT
ejpam-3403	384	26	=	=	SYM
ejpam-3403	385	1	n−1∑	n−1∑	NOUN
ejpam-3403	385	2	k=1	k=1	PUNCT
ejpam-3403	385	3	k∑	k∑	VERB
ejpam-3403	386	1	j=1	j=1	NOUN
ejpam-3403	386	2	(	(	PUNCT
ejpam-3403	386	3	n	n	NOUN
ejpam-3403	386	4	k	k	NOUN
ejpam-3403	386	5	)	)	PUNCT
ejpam-3403	386	6	(	(	PUNCT
ejpam-3403	386	7	k	k	PROPN
ejpam-3403	386	8	j	j	PROPN
ejpam-3403	386	9	)	)	PUNCT
ejpam-3403	386	10	ln−kdk(−lnc)k−jgn−k(dx	ln−kdk(−lnc)k−jgn−k(dx	PROPN
ejpam-3403	386	11	;	;	PUNCT
ejpam-3403	386	12	a	a	DET
ejpam-3403	386	13	,	,	PUNCT
ejpam-3403	386	14	b	b	NOUN
ejpam-3403	386	15	,	,	PUNCT
ejpam-3403	386	16	c)gj(lx	c)gj(lx	ADP
ejpam-3403	386	17	;	;	PUNCT
ejpam-3403	386	18	a	a	DET
ejpam-3403	386	19	c	c	NOUN
ejpam-3403	386	20	,	,	PUNCT
ejpam-3403	386	21	b	b	PROPN
ejpam-3403	386	22	c	c	X
ejpam-3403	386	23	,	,	PUNCT
ejpam-3403	386	24	c	c	NOUN
ejpam-3403	386	25	)	)	PUNCT
ejpam-3403	386	26	.	.	PUNCT
ejpam-3403	387	1	(	(	PUNCT
ejpam-3403	387	2	43	43	NUM
ejpam-3403	387	3	)	)	PUNCT
ejpam-3403	387	4	then	then	ADV
ejpam-3403	387	5	taking	take	VERB
ejpam-3403	387	6	a	a	DET
ejpam-3403	387	7	=	=	ADJ
ejpam-3403	387	8	1	1	NUM
ejpam-3403	387	9	,	,	PUNCT
ejpam-3403	387	10	b	b	NOUN
ejpam-3403	387	11	=	=	SYM
ejpam-3403	387	12	e	e	NOUN
ejpam-3403	387	13	,	,	PUNCT
ejpam-3403	387	14	c	c	X
ejpam-3403	387	15	=	=	SYM
ejpam-3403	387	16	e	e	PROPN
ejpam-3403	387	17	in	in	ADP
ejpam-3403	387	18	eq.(43	eq.(43	PROPN
ejpam-3403	387	19	)	)	PUNCT
ejpam-3403	387	20	,	,	PUNCT
ejpam-3403	387	21	we	we	PRON
ejpam-3403	387	22	get	get	VERB
ejpam-3403	387	23	n−1∑	n−1∑	PROPN
ejpam-3403	387	24	k=1	k=1	PUNCT
ejpam-3403	387	25	k∑	k∑	PROPN
ejpam-3403	388	1	j=1	j=1	NOUN
ejpam-3403	388	2	(	(	PUNCT
ejpam-3403	388	3	n	n	NOUN
ejpam-3403	388	4	k	k	NOUN
ejpam-3403	388	5	)	)	PUNCT
ejpam-3403	388	6	(	(	PUNCT
ejpam-3403	388	7	k	k	PROPN
ejpam-3403	388	8	j	j	PROPN
ejpam-3403	388	9	)	)	PUNCT
ejpam-3403	388	10	dn−klkgn−k(lx)gj(dx	dn−klkgn−k(lx)gj(dx	PROPN
ejpam-3403	388	11	)	)	PUNCT
ejpam-3403	388	12	=	=	SYM
ejpam-3403	388	13	n−1∑	n−1∑	NOUN
ejpam-3403	388	14	k=1	k=1	PUNCT
ejpam-3403	388	15	k∑	k∑	VERB
ejpam-3403	389	1	j=1	j=1	NOUN
ejpam-3403	389	2	(	(	PUNCT
ejpam-3403	389	3	n	n	NOUN
ejpam-3403	389	4	k	k	NOUN
ejpam-3403	389	5	)	)	PUNCT
ejpam-3403	389	6	(	(	PUNCT
ejpam-3403	389	7	k	k	PROPN
ejpam-3403	389	8	j	j	PROPN
ejpam-3403	389	9	)	)	PUNCT
ejpam-3403	389	10	ln−kdkgn−k(dx)gj(lx	ln−kdkgn−k(dx)gj(lx	PROPN
ejpam-3403	389	11	)	)	PUNCT
ejpam-3403	389	12	.	.	PUNCT
ejpam-3403	390	1	(	(	PUNCT
ejpam-3403	390	2	44	44	NUM
ejpam-3403	390	3	)	)	SYM
ejpam-3403	390	4	3	3	NUM
ejpam-3403	390	5	.	.	PUNCT
ejpam-3403	391	1	identities	identity	NOUN
ejpam-3403	391	2	of	of	ADP
ejpam-3403	391	3	generalized	generalized	ADJ
ejpam-3403	391	4	higher	high	ADJ
ejpam-3403	391	5	-	-	PUNCT
ejpam-3403	391	6	order	order	NOUN
ejpam-3403	391	7	genocchi	genocchi	NOUN
ejpam-3403	391	8	numbers	number	NOUN
ejpam-3403	391	9	and	and	CCONJ
ejpam-3403	391	10	special	special	ADJ
ejpam-3403	391	11	combinatorial	combinatorial	ADJ
ejpam-3403	391	12	sequences	sequence	NOUN
ejpam-3403	391	13	in	in	ADP
ejpam-3403	391	14	this	this	DET
ejpam-3403	391	15	section	section	NOUN
ejpam-3403	391	16	,	,	PUNCT
ejpam-3403	391	17	we	we	PRON
ejpam-3403	391	18	establish	establish	VERB
ejpam-3403	391	19	some	some	DET
ejpam-3403	391	20	new	new	ADJ
ejpam-3403	391	21	identities	identity	NOUN
ejpam-3403	391	22	involving	involve	VERB
ejpam-3403	391	23	the	the	DET
ejpam-3403	391	24	generalized	generalized	ADJ
ejpam-3403	391	25	higher	high	ADJ
ejpam-3403	391	26	-	-	PUNCT
ejpam-3403	391	27	order	order	NOUN
ejpam-3403	391	28	genocchi	genocchi	NOUN
ejpam-3403	391	29	numbers	number	NOUN
ejpam-3403	391	30	and	and	CCONJ
ejpam-3403	391	31	harmonic	harmonic	ADJ
ejpam-3403	391	32	numbers	number	NOUN
ejpam-3403	391	33	,	,	PUNCT
ejpam-3403	391	34	derangement	derangement	NOUN
ejpam-3403	391	35	numbers	number	NOUN
ejpam-3403	391	36	,	,	PUNCT
ejpam-3403	391	37	fibonacci	fibonacci	NOUN
ejpam-3403	391	38	numbers	number	NOUN
ejpam-3403	391	39	,	,	PUNCT
ejpam-3403	391	40	bell	bell	NOUN
ejpam-3403	391	41	numbers	number	NOUN
ejpam-3403	391	42	,	,	PUNCT
ejpam-3403	391	43	bernoulli	bernoulli	NOUN
ejpam-3403	391	44	numbers	number	NOUN
ejpam-3403	391	45	,	,	PUNCT
ejpam-3403	391	46	euler	euler	NOUN
ejpam-3403	391	47	numbers	number	NOUN
ejpam-3403	391	48	,	,	PUNCT
ejpam-3403	391	49	cauchy	cauchy	ADJ
ejpam-3403	391	50	numbers	number	NOUN
ejpam-3403	391	51	and	and	CCONJ
ejpam-3403	391	52	stirling	stirling	NOUN
ejpam-3403	391	53	numbers	number	NOUN
ejpam-3403	391	54	of	of	ADP
ejpam-3403	391	55	second	second	ADJ
ejpam-3403	391	56	kind	kind	NOUN
ejpam-3403	391	57	by	by	ADP
ejpam-3403	391	58	means	mean	NOUN
ejpam-3403	391	59	of	of	ADP
ejpam-3403	391	60	the	the	DET
ejpam-3403	391	61	moment	moment	NOUN
ejpam-3403	391	62	representation	representation	NOUN
ejpam-3403	391	63	of	of	ADP
ejpam-3403	391	64	the	the	DET
ejpam-3403	391	65	generalized	generalized	ADJ
ejpam-3403	391	66	higher	high	ADJ
ejpam-3403	391	67	-	-	PUNCT
ejpam-3403	391	68	order	order	NOUN
ejpam-3403	391	69	genocchi	genocchi	NOUN
ejpam-3403	391	70	polynomials	polynomial	NOUN
ejpam-3403	391	71	.	.	PUNCT
ejpam-3403	392	1	theorem	theorem	VERB
ejpam-3403	392	2	11	11	NUM
ejpam-3403	392	3	.	.	PUNCT
ejpam-3403	393	1	let	let	VERB
ejpam-3403	393	2	a	a	DET
ejpam-3403	393	3	,	,	PUNCT
ejpam-3403	393	4	b	b	NOUN
ejpam-3403	393	5	and	and	CCONJ
ejpam-3403	393	6	c	c	PROPN
ejpam-3403	393	7	be	be	AUX
ejpam-3403	393	8	positive	positive	ADJ
ejpam-3403	393	9	integers	integer	NOUN
ejpam-3403	393	10	with	with	ADP
ejpam-3403	393	11	conditions	condition	NOUN
ejpam-3403	393	12	a	a	PRON
ejpam-3403	393	13	6=	6=	PROPN
ejpam-3403	393	14	b	b	PROPN
ejpam-3403	393	15	,	,	PUNCT
ejpam-3403	393	16	ab	ab	PROPN
ejpam-3403	393	17	6=	6=	ADP
ejpam-3403	393	18	1	1	NUM
ejpam-3403	393	19	and	and	CCONJ
ejpam-3403	393	20	c	c	PROPN
ejpam-3403	393	21	6=	6=	PROPN
ejpam-3403	393	22	1	1	NUM
ejpam-3403	393	23	,	,	PUNCT
ejpam-3403	393	24	for	for	ADP
ejpam-3403	393	25	α	α	PRON
ejpam-3403	393	26	∈	∈	PROPN
ejpam-3403	393	27	n+	n+	PROPN
ejpam-3403	393	28	,	,	PUNCT
ejpam-3403	393	29	x	x	PUNCT
ejpam-3403	393	30	∈	∈	PROPN
ejpam-3403	393	31	r	r	NOUN
ejpam-3403	393	32	,	,	PUNCT
ejpam-3403	393	33	n	n	PRON
ejpam-3403	393	34	≥	≥	NOUN
ejpam-3403	393	35	α	α	NOUN
ejpam-3403	393	36	,	,	PUNCT
ejpam-3403	393	37	then	then	ADV
ejpam-3403	393	38	we	we	PRON
ejpam-3403	393	39	get	get	VERB
ejpam-3403	393	40	g(α	g(α	NOUN
ejpam-3403	393	41	)	)	PUNCT
ejpam-3403	393	42	n	n	CCONJ
ejpam-3403	393	43	(	(	PUNCT
ejpam-3403	393	44	x	x	X
ejpam-3403	393	45	;	;	PUNCT
ejpam-3403	393	46	a	a	DET
ejpam-3403	393	47	,	,	PUNCT
ejpam-3403	393	48	b	b	NOUN
ejpam-3403	393	49	,	,	PUNCT
ejpam-3403	393	50	c	c	NOUN
ejpam-3403	393	51	)	)	PUNCT
ejpam-3403	393	52	=	=	SYM
ejpam-3403	394	1	n∑	n∑	NOUN
ejpam-3403	394	2	k	k	X
ejpam-3403	395	1	=	=	NOUN
ejpam-3403	395	2	α	α	X
ejpam-3403	395	3	(	(	PUNCT
ejpam-3403	395	4	n	n	NOUN
ejpam-3403	395	5	k	k	NOUN
ejpam-3403	395	6	)	)	PUNCT
ejpam-3403	395	7	(	(	PUNCT
ejpam-3403	395	8	lnc)n−kxn−kg	lnc)n−kxn−kg	X
ejpam-3403	395	9	(	(	PUNCT
ejpam-3403	395	10	α	α	NOUN
ejpam-3403	395	11	)	)	PUNCT
ejpam-3403	395	12	k	k	PROPN
ejpam-3403	395	13	(	(	PUNCT
ejpam-3403	395	14	a	a	DET
ejpam-3403	395	15	,	,	PUNCT
ejpam-3403	395	16	b	b	NOUN
ejpam-3403	395	17	)	)	PUNCT
ejpam-3403	395	18	,	,	PUNCT
ejpam-3403	395	19	(	(	PUNCT
ejpam-3403	395	20	45	45	NUM
ejpam-3403	395	21	)	)	PUNCT
ejpam-3403	395	22	g(α	g(α	PROPN
ejpam-3403	395	23	)	)	PUNCT
ejpam-3403	395	24	n	n	CCONJ
ejpam-3403	395	25	(	(	PUNCT
ejpam-3403	395	26	x	x	X
ejpam-3403	395	27	;	;	PUNCT
ejpam-3403	395	28	a	a	DET
ejpam-3403	395	29	,	,	PUNCT
ejpam-3403	395	30	b	b	NOUN
ejpam-3403	395	31	,	,	PUNCT
ejpam-3403	395	32	c	c	NOUN
ejpam-3403	395	33	)	)	PUNCT
ejpam-3403	395	34	=	=	SYM
ejpam-3403	396	1	n∑	n∑	NOUN
ejpam-3403	396	2	k	k	X
ejpam-3403	397	1	=	=	NOUN
ejpam-3403	397	2	α	α	X
ejpam-3403	397	3	(	(	PUNCT
ejpam-3403	397	4	n	n	NOUN
ejpam-3403	397	5	k	k	PROPN
ejpam-3403	397	6	)	)	PUNCT
ejpam-3403	397	7	(	(	PUNCT
ejpam-3403	397	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	397	9	b	b	PROPN
ejpam-3403	397	10	a	a	PRON
ejpam-3403	397	11	)	)	PUNCT
ejpam-3403	397	12	k−αxn−kg	k−αxn−kg	PROPN
ejpam-3403	397	13	(	(	PUNCT
ejpam-3403	397	14	α	α	NOUN
ejpam-3403	397	15	)	)	PUNCT
ejpam-3403	397	16	k	k	NOUN
ejpam-3403	397	17	(	(	PUNCT
ejpam-3403	397	18	αlna	αlna	PROPN
ejpam-3403	397	19	lna−	lna−	PROPN
ejpam-3403	397	20	lnb	lnb	PROPN
ejpam-3403	397	21	)	)	PUNCT
ejpam-3403	397	22	,	,	PUNCT
ejpam-3403	397	23	(	(	PUNCT
ejpam-3403	397	24	46	46	X
ejpam-3403	397	25	)	)	PUNCT
ejpam-3403	397	26	g(α	g(α	PROPN
ejpam-3403	397	27	)	)	PUNCT
ejpam-3403	397	28	n	n	CCONJ
ejpam-3403	397	29	(	(	PUNCT
ejpam-3403	397	30	x	x	X
ejpam-3403	397	31	;	;	PUNCT
ejpam-3403	397	32	a	a	DET
ejpam-3403	397	33	,	,	PUNCT
ejpam-3403	397	34	b	b	NOUN
ejpam-3403	397	35	,	,	PUNCT
ejpam-3403	397	36	c	c	NOUN
ejpam-3403	397	37	)	)	PUNCT
ejpam-3403	397	38	=	=	SYM
ejpam-3403	398	1	n∑	n∑	NOUN
ejpam-3403	398	2	k	k	X
ejpam-3403	399	1	=	=	NOUN
ejpam-3403	399	2	α	α	PROPN
ejpam-3403	399	3	k∑	k∑	NOUN
ejpam-3403	400	1	j	j	PROPN
ejpam-3403	401	1	=	=	NOUN
ejpam-3403	401	2	α	α	PROPN
ejpam-3403	401	3	(	(	PUNCT
ejpam-3403	401	4	n	n	NOUN
ejpam-3403	401	5	k	k	NOUN
ejpam-3403	401	6	)	)	PUNCT
ejpam-3403	401	7	(	(	PUNCT
ejpam-3403	401	8	k	k	PROPN
ejpam-3403	401	9	j	j	PROPN
ejpam-3403	401	10	)	)	PUNCT
ejpam-3403	401	11	(	(	PUNCT
ejpam-3403	401	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	401	13	b	b	PROPN
ejpam-3403	401	14	a	a	PRON
ejpam-3403	401	15	)	)	PUNCT
ejpam-3403	401	16	j−α(−αlna)k−jxn−kg	j−α(−αlna)k−jxn−kg	PROPN
ejpam-3403	401	17	(	(	PUNCT
ejpam-3403	401	18	α	α	NOUN
ejpam-3403	401	19	)	)	PUNCT
ejpam-3403	401	20	j	j	PROPN
ejpam-3403	401	21	.	.	PUNCT
ejpam-3403	402	1	(	(	PUNCT
ejpam-3403	402	2	47	47	NUM
ejpam-3403	402	3	)	)	PUNCT
ejpam-3403	402	4	t.	t.	PROPN
ejpam-3403	402	5	hao	hao	PROPN
ejpam-3403	402	6	,	,	PUNCT
ejpam-3403	402	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	402	8	/	/	SYM
ejpam-3403	402	9	eur	eur	PROPN
ejpam-3403	402	10	.	.	PUNCT
ejpam-3403	403	1	j.	j.	PROPN
ejpam-3403	403	2	pure	pure	PROPN
ejpam-3403	403	3	appl	appl	PROPN
ejpam-3403	403	4	.	.	PROPN
ejpam-3403	403	5	math	math	PROPN
ejpam-3403	403	6	,	,	PUNCT
ejpam-3403	403	7	12	12	NUM
ejpam-3403	403	8	(	(	PUNCT
ejpam-3403	403	9	2	2	NUM
ejpam-3403	403	10	)	)	PUNCT
ejpam-3403	403	11	(	(	PUNCT
ejpam-3403	403	12	2019	2019	NUM
ejpam-3403	403	13	)	)	PUNCT
ejpam-3403	403	14	,	,	PUNCT
ejpam-3403	403	15	605	605	NUM
ejpam-3403	403	16	-	-	SYM
ejpam-3403	403	17	621	621	NUM
ejpam-3403	403	18	617	617	NUM
ejpam-3403	403	19	proof	proof	NOUN
ejpam-3403	403	20	.	.	PUNCT
ejpam-3403	404	1	by	by	ADP
ejpam-3403	404	2	the	the	DET
ejpam-3403	404	3	eq.(34	eq.(34	NOUN
ejpam-3403	404	4	)	)	PUNCT
ejpam-3403	404	5	we	we	PRON
ejpam-3403	404	6	can	can	AUX
ejpam-3403	404	7	arrive	arrive	VERB
ejpam-3403	404	8	at	at	ADP
ejpam-3403	404	9	the	the	DET
ejpam-3403	404	10	eq.(45	eq.(45	NOUN
ejpam-3403	404	11	)	)	PUNCT
ejpam-3403	404	12	directly	directly	ADV
ejpam-3403	404	13	.	.	PUNCT
ejpam-3403	405	1	it	it	PRON
ejpam-3403	405	2	follows	follow	VERB
ejpam-3403	405	3	from	from	ADP
ejpam-3403	405	4	eq.(15	eq.(15	NOUN
ejpam-3403	405	5	)	)	PUNCT
ejpam-3403	405	6	that	that	SCONJ
ejpam-3403	405	7	g(α	g(α	VERB
ejpam-3403	405	8	)	)	PUNCT
ejpam-3403	405	9	n	n	CCONJ
ejpam-3403	405	10	(	(	PUNCT
ejpam-3403	405	11	x	x	X
ejpam-3403	405	12	;	;	PUNCT
ejpam-3403	405	13	a	a	DET
ejpam-3403	405	14	,	,	PUNCT
ejpam-3403	405	15	b	b	NOUN
ejpam-3403	405	16	,	,	PUNCT
ejpam-3403	405	17	c	c	NOUN
ejpam-3403	405	18	)	)	PUNCT
ejpam-3403	405	19	=	=	SYM
ejpam-3403	405	20	n	n	X
ejpam-3403	405	21	!	!	PUNCT
ejpam-3403	406	1	(	(	PUNCT
ejpam-3403	406	2	n−	n−	NOUN
ejpam-3403	406	3	α	α	NOUN
ejpam-3403	406	4	)	)	PUNCT
ejpam-3403	406	5	!	!	PUNCT
ejpam-3403	407	1	e[i(l(1	e[i(l(1	NOUN
ejpam-3403	407	2	)	)	PUNCT
ejpam-3403	408	1	+	+	NUM
ejpam-3403	408	2	·	·	PUNCT
ejpam-3403	408	3	·	·	PUNCT
ejpam-3403	408	4	·	·	PUNCT
ejpam-3403	408	5	+	+	NUM
ejpam-3403	408	6	l(α))ln	l(α))ln	PROPN
ejpam-3403	408	7	b	b	X
ejpam-3403	408	8	a	a	PRON
ejpam-3403	409	1	+	+	NUM
ejpam-3403	409	2	xlnc−	xlnc−	NUM
ejpam-3403	409	3	α	α	NOUN
ejpam-3403	409	4	2	2	NUM
ejpam-3403	409	5	lnab]n−α	lnab]n−α	NUM
ejpam-3403	409	6	=	=	SYM
ejpam-3403	409	7	n	n	X
ejpam-3403	409	8	!	!	PUNCT
ejpam-3403	410	1	(	(	PUNCT
ejpam-3403	410	2	n−	n−	NOUN
ejpam-3403	410	3	α	α	X
ejpam-3403	410	4	)	)	PUNCT
ejpam-3403	410	5	!	!	PUNCT
ejpam-3403	411	1	n−α∑	n−α∑	X
ejpam-3403	412	1	k	k	X
ejpam-3403	413	1	=	=	NOUN
ejpam-3403	413	2	α	α	X
ejpam-3403	413	3	(	(	PUNCT
ejpam-3403	413	4	n−	n−	NOUN
ejpam-3403	413	5	α	α	NOUN
ejpam-3403	413	6	k	k	NOUN
ejpam-3403	413	7	−	−	PROPN
ejpam-3403	413	8	α	α	X
ejpam-3403	413	9	)	)	PUNCT
ejpam-3403	413	10	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	413	11	)	)	PUNCT
ejpam-3403	413	12	+	+	NUM
ejpam-3403	413	13	·	·	PUNCT
ejpam-3403	413	14	·	·	PUNCT
ejpam-3403	413	15	·	·	PUNCT
ejpam-3403	413	16	+	+	NUM
ejpam-3403	413	17	l(α))ln	l(α))ln	PROPN
ejpam-3403	413	18	b	b	X
ejpam-3403	413	19	a	a	DET
ejpam-3403	413	20	−	−	NOUN
ejpam-3403	413	21	α	α	NOUN
ejpam-3403	413	22	2	2	NUM
ejpam-3403	413	23	lnab]k−α(xlnc)n−k	lnab]k−α(xlnc)n−k	NOUN
ejpam-3403	413	24	=	=	SYM
ejpam-3403	413	25	n	n	X
ejpam-3403	413	26	!	!	PUNCT
ejpam-3403	414	1	(	(	PUNCT
ejpam-3403	414	2	n−	n−	NOUN
ejpam-3403	414	3	α	α	NOUN
ejpam-3403	414	4	)	)	PUNCT
ejpam-3403	414	5	!	!	PUNCT
ejpam-3403	415	1	n∑	n∑	X
ejpam-3403	416	1	k	k	X
ejpam-3403	417	1	=	=	NOUN
ejpam-3403	417	2	α	α	X
ejpam-3403	417	3	(	(	PUNCT
ejpam-3403	417	4	n−	n−	NOUN
ejpam-3403	417	5	α	α	NOUN
ejpam-3403	417	6	k	k	NOUN
ejpam-3403	417	7	−	−	PROPN
ejpam-3403	417	8	α	α	NOUN
ejpam-3403	417	9	)	)	PUNCT
ejpam-3403	417	10	(	(	PUNCT
ejpam-3403	417	11	ln	ln	NOUN
ejpam-3403	417	12	b	b	PROPN
ejpam-3403	417	13	a	a	PRON
ejpam-3403	417	14	)	)	PUNCT
ejpam-3403	417	15	k−αe[i(l(1	k−αe[i(l(1	NOUN
ejpam-3403	417	16	)	)	PUNCT
ejpam-3403	417	17	+	+	CCONJ
ejpam-3403	417	18	·	·	PUNCT
ejpam-3403	417	19	·	·	PUNCT
ejpam-3403	417	20	·	·	PUNCT
ejpam-3403	417	21	+	+	NUM
ejpam-3403	417	22	l(α))−	l(α))−	ADJ
ejpam-3403	417	23	αlna	αlna	PROPN
ejpam-3403	417	24	lnb−	lnb−	PROPN
ejpam-3403	417	25	lna	lna	PROPN
ejpam-3403	418	1	−	−	PROPN
ejpam-3403	418	2	α	α	NOUN
ejpam-3403	418	3	2	2	NUM
ejpam-3403	418	4	]	]	SYM
ejpam-3403	418	5	k−α(xlnc)n−k	k−α(xlnc)n−k	X
ejpam-3403	418	6	=	=	SYM
ejpam-3403	418	7	n	n	X
ejpam-3403	418	8	!	!	PUNCT
ejpam-3403	419	1	(	(	PUNCT
ejpam-3403	419	2	n−	n−	NOUN
ejpam-3403	419	3	α	α	NOUN
ejpam-3403	419	4	)	)	PUNCT
ejpam-3403	419	5	!	!	PUNCT
ejpam-3403	420	1	n∑	n∑	X
ejpam-3403	421	1	k	k	X
ejpam-3403	422	1	=	=	NOUN
ejpam-3403	422	2	α	α	X
ejpam-3403	422	3	(	(	PUNCT
ejpam-3403	422	4	n−	n−	NOUN
ejpam-3403	422	5	α	α	NOUN
ejpam-3403	422	6	k	k	NOUN
ejpam-3403	422	7	−	−	PROPN
ejpam-3403	422	8	α	α	NOUN
ejpam-3403	422	9	)	)	PUNCT
ejpam-3403	423	1	(	(	PUNCT
ejpam-3403	423	2	k	k	NOUN
ejpam-3403	423	3	−	−	PROPN
ejpam-3403	423	4	α	α	NOUN
ejpam-3403	423	5	)	)	PUNCT
ejpam-3403	423	6	!	!	PUNCT
ejpam-3403	424	1	k	k	X
ejpam-3403	424	2	!	!	PUNCT
ejpam-3403	425	1	g	g	PROPN
ejpam-3403	425	2	(	(	PUNCT
ejpam-3403	425	3	α	α	NOUN
ejpam-3403	425	4	)	)	PUNCT
ejpam-3403	425	5	k	k	NOUN
ejpam-3403	425	6	(	(	PUNCT
ejpam-3403	425	7	αlna	αlna	PROPN
ejpam-3403	425	8	lna−	lna−	PROPN
ejpam-3403	425	9	lnb	lnb	PROPN
ejpam-3403	425	10	)	)	PUNCT
ejpam-3403	425	11	xn−k(lnc)n−k(ln	xn−k(lnc)n−k(ln	PROPN
ejpam-3403	425	12	b	b	PROPN
ejpam-3403	425	13	a	a	PRON
ejpam-3403	425	14	)	)	PUNCT
ejpam-3403	425	15	k−α	k−α	PROPN
ejpam-3403	425	16	=	=	SYM
ejpam-3403	425	17	n∑	n∑	PROPN
ejpam-3403	425	18	k	k	X
ejpam-3403	426	1	=	=	NOUN
ejpam-3403	426	2	α	α	X
ejpam-3403	426	3	(	(	PUNCT
ejpam-3403	426	4	n	n	NOUN
ejpam-3403	426	5	k	k	PROPN
ejpam-3403	426	6	)	)	PUNCT
ejpam-3403	426	7	(	(	PUNCT
ejpam-3403	426	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	426	9	b	b	PROPN
ejpam-3403	426	10	a	a	PRON
ejpam-3403	426	11	)	)	PUNCT
ejpam-3403	426	12	k−αxn−kg	k−αxn−kg	PROPN
ejpam-3403	426	13	(	(	PUNCT
ejpam-3403	426	14	α	α	NOUN
ejpam-3403	426	15	)	)	PUNCT
ejpam-3403	426	16	k	k	NOUN
ejpam-3403	426	17	(	(	PUNCT
ejpam-3403	426	18	αlna	αlna	PROPN
ejpam-3403	426	19	lna−	lna−	PROPN
ejpam-3403	426	20	lnb	lnb	PROPN
ejpam-3403	426	21	)	)	PUNCT
ejpam-3403	426	22	,	,	PUNCT
ejpam-3403	426	23	from	from	ADP
ejpam-3403	426	24	which	which	PRON
ejpam-3403	426	25	we	we	PRON
ejpam-3403	426	26	see	see	VERB
ejpam-3403	426	27	that	that	SCONJ
ejpam-3403	426	28	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	426	29	)	)	PUNCT
ejpam-3403	426	30	+	+	NUM
ejpam-3403	426	31	·	·	PUNCT
ejpam-3403	426	32	·	·	PUNCT
ejpam-3403	426	33	·	·	PUNCT
ejpam-3403	426	34	+	+	NUM
ejpam-3403	426	35	l(α))ln	l(α))ln	PROPN
ejpam-3403	426	36	b	b	X
ejpam-3403	426	37	a	a	DET
ejpam-3403	426	38	−	−	NOUN
ejpam-3403	426	39	α	α	SYM
ejpam-3403	426	40	2	2	NUM
ejpam-3403	426	41	lnab]k−α	lnab]k−α	NOUN
ejpam-3403	426	42	=	=	SYM
ejpam-3403	426	43	(	(	PUNCT
ejpam-3403	426	44	ln	ln	NOUN
ejpam-3403	426	45	b	b	PROPN
ejpam-3403	426	46	a	a	PRON
ejpam-3403	426	47	)	)	PUNCT
ejpam-3403	426	48	k−αe[i(l(1	k−αe[i(l(1	NOUN
ejpam-3403	426	49	)	)	PUNCT
ejpam-3403	426	50	+	+	CCONJ
ejpam-3403	426	51	·	·	PUNCT
ejpam-3403	426	52	·	·	PUNCT
ejpam-3403	426	53	·	·	PUNCT
ejpam-3403	426	54	+	+	NUM
ejpam-3403	426	55	l(α))−	l(α))−	ADJ
ejpam-3403	426	56	αlna	αlna	PROPN
ejpam-3403	426	57	lnb−	lnb−	PROPN
ejpam-3403	426	58	lna	lna	PROPN
ejpam-3403	426	59	−	−	PROPN
ejpam-3403	426	60	α	α	NOUN
ejpam-3403	426	61	2	2	NUM
ejpam-3403	426	62	]	]	PUNCT
ejpam-3403	426	63	k−α	k−α	X
ejpam-3403	426	64	=	=	SYM
ejpam-3403	426	65	(	(	PUNCT
ejpam-3403	426	66	ln	ln	NOUN
ejpam-3403	426	67	b	b	PROPN
ejpam-3403	426	68	a	a	PRON
ejpam-3403	426	69	)	)	PUNCT
ejpam-3403	426	70	k−α	k−α	PROPN
ejpam-3403	426	71	k−α∑	k−α∑	PROPN
ejpam-3403	426	72	j	j	PROPN
ejpam-3403	426	73	=	=	PROPN
ejpam-3403	426	74	α	α	PROPN
ejpam-3403	426	75	(	(	PUNCT
ejpam-3403	426	76	k	k	NOUN
ejpam-3403	426	77	−	−	PROPN
ejpam-3403	426	78	α	α	PROPN
ejpam-3403	426	79	j	j	PROPN
ejpam-3403	426	80	−	−	PROPN
ejpam-3403	426	81	α	α	PROPN
ejpam-3403	426	82	)	)	PUNCT
ejpam-3403	426	83	e[i(l(1	e[i(l(1	PROPN
ejpam-3403	426	84	)	)	PUNCT
ejpam-3403	427	1	+	+	NUM
ejpam-3403	427	2	·	·	PUNCT
ejpam-3403	427	3	·	·	PUNCT
ejpam-3403	427	4	·	·	PUNCT
ejpam-3403	427	5	+	+	CCONJ
ejpam-3403	427	6	l(α))−	l(α))−	ADJ
ejpam-3403	427	7	α	α	NOUN
ejpam-3403	427	8	2	2	NUM
ejpam-3403	427	9	]	]	PUNCT
ejpam-3403	427	10	j−α(−αlna)k−j(ln	j−α(−αlna)k−j(ln	PROPN
ejpam-3403	427	11	b	b	PROPN
ejpam-3403	427	12	a	a	PRON
ejpam-3403	427	13	)	)	PUNCT
ejpam-3403	427	14	j−k	j−k	NOUN
ejpam-3403	427	15	=	=	SYM
ejpam-3403	427	16	k∑	k∑	PROPN
ejpam-3403	428	1	j	j	PROPN
ejpam-3403	429	1	=	=	NOUN
ejpam-3403	429	2	α	α	PROPN
ejpam-3403	429	3	(	(	PUNCT
ejpam-3403	429	4	k	k	NOUN
ejpam-3403	429	5	−	−	PROPN
ejpam-3403	429	6	α	α	PROPN
ejpam-3403	429	7	j	j	PROPN
ejpam-3403	429	8	−	−	PROPN
ejpam-3403	429	9	α	α	PROPN
ejpam-3403	429	10	)	)	PUNCT
ejpam-3403	430	1	(	(	PUNCT
ejpam-3403	430	2	j	j	PROPN
ejpam-3403	430	3	−	−	PROPN
ejpam-3403	430	4	α	α	NOUN
ejpam-3403	430	5	)	)	PUNCT
ejpam-3403	430	6	!	!	PUNCT
ejpam-3403	431	1	j	j	PROPN
ejpam-3403	431	2	!	!	PUNCT
ejpam-3403	432	1	g	g	PROPN
ejpam-3403	432	2	(	(	PUNCT
ejpam-3403	432	3	α	α	NOUN
ejpam-3403	432	4	)	)	PUNCT
ejpam-3403	432	5	j	j	PROPN
ejpam-3403	432	6	(	(	PUNCT
ejpam-3403	432	7	ln	ln	NOUN
ejpam-3403	432	8	b	b	PROPN
ejpam-3403	432	9	a	a	NOUN
ejpam-3403	432	10	)	)	PUNCT
ejpam-3403	432	11	j−α(−αlna)k−j	j−α(−αlna)k−j	PROPN
ejpam-3403	432	12	.	.	PUNCT
ejpam-3403	433	1	hence	hence	ADV
ejpam-3403	433	2	we	we	PRON
ejpam-3403	433	3	complete	complete	VERB
ejpam-3403	433	4	the	the	DET
ejpam-3403	433	5	proof	proof	NOUN
ejpam-3403	433	6	of	of	ADP
ejpam-3403	433	7	the	the	DET
ejpam-3403	433	8	theorem	theorem	NOUN
ejpam-3403	433	9	11	11	NUM
ejpam-3403	433	10	.	.	PUNCT
ejpam-3403	434	1	according	accord	VERB
ejpam-3403	434	2	to	to	ADP
ejpam-3403	434	3	eq.(45	eq.(45	VERB
ejpam-3403	434	4	)	)	PUNCT
ejpam-3403	434	5	,	,	PUNCT
ejpam-3403	434	6	eq.(46	eq.(46	NOUN
ejpam-3403	434	7	)	)	PUNCT
ejpam-3403	434	8	and	and	CCONJ
ejpam-3403	434	9	eq.(47	eq.(47	NOUN
ejpam-3403	434	10	)	)	PUNCT
ejpam-3403	434	11	in	in	ADP
ejpam-3403	434	12	theorem	theorem	NOUN
ejpam-3403	434	13	11	11	NUM
ejpam-3403	434	14	,	,	PUNCT
ejpam-3403	434	15	we	we	PRON
ejpam-3403	434	16	get	get	VERB
ejpam-3403	434	17	the	the	DET
ejpam-3403	434	18	following	follow	VERB
ejpam-3403	434	19	theorem	theorem	VERB
ejpam-3403	434	20	.	.	PUNCT
ejpam-3403	434	21	theorem	theorem	PROPN
ejpam-3403	434	22	12	12	NUM
ejpam-3403	434	23	.	.	PUNCT
ejpam-3403	435	1	let	let	VERB
ejpam-3403	435	2	a	a	DET
ejpam-3403	435	3	,	,	PUNCT
ejpam-3403	435	4	b	b	NOUN
ejpam-3403	435	5	and	and	CCONJ
ejpam-3403	435	6	c	c	PROPN
ejpam-3403	435	7	be	be	AUX
ejpam-3403	435	8	positive	positive	ADJ
ejpam-3403	435	9	integers	integer	NOUN
ejpam-3403	435	10	with	with	ADP
ejpam-3403	435	11	conditions	condition	NOUN
ejpam-3403	435	12	a	a	PRON
ejpam-3403	435	13	6=	6=	PROPN
ejpam-3403	435	14	b	b	PROPN
ejpam-3403	435	15	,	,	PUNCT
ejpam-3403	435	16	ab	ab	PROPN
ejpam-3403	435	17	6=	6=	ADP
ejpam-3403	435	18	1	1	NUM
ejpam-3403	435	19	and	and	CCONJ
ejpam-3403	435	20	c	c	PROPN
ejpam-3403	435	21	6=	6=	PROPN
ejpam-3403	435	22	1	1	NUM
ejpam-3403	435	23	,	,	PUNCT
ejpam-3403	435	24	for	for	ADP
ejpam-3403	435	25	α	α	PRON
ejpam-3403	435	26	∈	∈	PROPN
ejpam-3403	435	27	n+	n+	PROPN
ejpam-3403	435	28	,	,	PUNCT
ejpam-3403	435	29	x	x	PUNCT
ejpam-3403	435	30	∈	∈	PROPN
ejpam-3403	435	31	r	r	NOUN
ejpam-3403	435	32	,	,	PUNCT
ejpam-3403	435	33	n	n	PRON
ejpam-3403	435	34	≥	≥	NOUN
ejpam-3403	435	35	α	α	NOUN
ejpam-3403	435	36	,	,	PUNCT
ejpam-3403	435	37	then	then	ADV
ejpam-3403	435	38	we	we	PRON
ejpam-3403	435	39	get	get	VERB
ejpam-3403	435	40	n∑	n∑	NOUN
ejpam-3403	436	1	k	k	X
ejpam-3403	437	1	=	=	NOUN
ejpam-3403	437	2	α	α	X
ejpam-3403	437	3	(	(	PUNCT
ejpam-3403	437	4	n	n	NOUN
ejpam-3403	437	5	k	k	NOUN
ejpam-3403	437	6	)	)	PUNCT
ejpam-3403	437	7	(	(	PUNCT
ejpam-3403	437	8	lnc)n−kxn−kg	lnc)n−kxn−kg	X
ejpam-3403	437	9	(	(	PUNCT
ejpam-3403	437	10	α	α	NOUN
ejpam-3403	437	11	)	)	PUNCT
ejpam-3403	437	12	k	k	PROPN
ejpam-3403	437	13	(	(	PUNCT
ejpam-3403	437	14	a	a	DET
ejpam-3403	437	15	,	,	PUNCT
ejpam-3403	437	16	b	b	NOUN
ejpam-3403	437	17	)	)	PUNCT
ejpam-3403	437	18	=	=	SYM
ejpam-3403	437	19	n∑	n∑	NOUN
ejpam-3403	437	20	k	k	X
ejpam-3403	438	1	=	=	NOUN
ejpam-3403	438	2	α	α	X
ejpam-3403	438	3	(	(	PUNCT
ejpam-3403	438	4	n	n	NOUN
ejpam-3403	438	5	k	k	PROPN
ejpam-3403	438	6	)	)	PUNCT
ejpam-3403	438	7	(	(	PUNCT
ejpam-3403	438	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	438	9	b	b	PROPN
ejpam-3403	438	10	a	a	PRON
ejpam-3403	438	11	)	)	PUNCT
ejpam-3403	438	12	k−αxn−kg	k−αxn−kg	PROPN
ejpam-3403	438	13	(	(	PUNCT
ejpam-3403	438	14	α	α	NOUN
ejpam-3403	438	15	)	)	PUNCT
ejpam-3403	438	16	k	k	NOUN
ejpam-3403	438	17	(	(	PUNCT
ejpam-3403	438	18	αlna	αlna	PROPN
ejpam-3403	438	19	lna−	lna−	PROPN
ejpam-3403	438	20	lnb	lnb	PROPN
ejpam-3403	438	21	)	)	PUNCT
ejpam-3403	438	22	,	,	PUNCT
ejpam-3403	438	23	(	(	PUNCT
ejpam-3403	438	24	48	48	NUM
ejpam-3403	438	25	)	)	PUNCT
ejpam-3403	438	26	n∑	n∑	NOUN
ejpam-3403	439	1	k	k	X
ejpam-3403	440	1	=	=	NOUN
ejpam-3403	440	2	α	α	X
ejpam-3403	440	3	(	(	PUNCT
ejpam-3403	440	4	n	n	NOUN
ejpam-3403	440	5	k	k	NOUN
ejpam-3403	440	6	)	)	PUNCT
ejpam-3403	440	7	(	(	PUNCT
ejpam-3403	440	8	lnc)n−kxn−kg	lnc)n−kxn−kg	X
ejpam-3403	440	9	(	(	PUNCT
ejpam-3403	440	10	α	α	NOUN
ejpam-3403	440	11	)	)	PUNCT
ejpam-3403	440	12	k	k	PROPN
ejpam-3403	440	13	(	(	PUNCT
ejpam-3403	440	14	a	a	DET
ejpam-3403	440	15	,	,	PUNCT
ejpam-3403	440	16	b	b	NOUN
ejpam-3403	440	17	)	)	PUNCT
ejpam-3403	440	18	=	=	SYM
ejpam-3403	440	19	n∑	n∑	NOUN
ejpam-3403	440	20	k	k	X
ejpam-3403	441	1	=	=	NOUN
ejpam-3403	441	2	α	α	PROPN
ejpam-3403	441	3	k∑	k∑	NOUN
ejpam-3403	442	1	j	j	PROPN
ejpam-3403	443	1	=	=	NOUN
ejpam-3403	443	2	α	α	PROPN
ejpam-3403	443	3	(	(	PUNCT
ejpam-3403	443	4	n	n	NOUN
ejpam-3403	443	5	k	k	NOUN
ejpam-3403	443	6	)	)	PUNCT
ejpam-3403	443	7	(	(	PUNCT
ejpam-3403	443	8	k	k	PROPN
ejpam-3403	443	9	j	j	PROPN
ejpam-3403	443	10	)	)	PUNCT
ejpam-3403	443	11	(	(	PUNCT
ejpam-3403	443	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	443	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	443	14	(	(	PUNCT
ejpam-3403	443	15	−αlna)j−k	−αlna)j−k	PROPN
ejpam-3403	443	16	xn−kg	xn−kg	PROPN
ejpam-3403	443	17	(	(	PUNCT
ejpam-3403	443	18	α	α	X
ejpam-3403	443	19	)	)	PUNCT
ejpam-3403	443	20	j	j	PROPN
ejpam-3403	443	21	.	.	PUNCT
ejpam-3403	444	1	(	(	PUNCT
ejpam-3403	444	2	49	49	NUM
ejpam-3403	444	3	)	)	PUNCT
ejpam-3403	444	4	we	we	PRON
ejpam-3403	444	5	now	now	ADV
ejpam-3403	444	6	turn	turn	VERB
ejpam-3403	444	7	to	to	ADP
ejpam-3403	444	8	the	the	DET
ejpam-3403	444	9	above	above	ADJ
ejpam-3403	444	10	identities	identity	NOUN
ejpam-3403	444	11	of	of	ADP
ejpam-3403	444	12	the	the	DET
ejpam-3403	444	13	generalized	generalized	ADJ
ejpam-3403	444	14	higher	high	ADJ
ejpam-3403	444	15	-	-	PUNCT
ejpam-3403	444	16	order	order	NOUN
ejpam-3403	444	17	genocchi	genocchi	NOUN
ejpam-3403	444	18	numbers	number	NOUN
ejpam-3403	444	19	and	and	CCONJ
ejpam-3403	444	20	x.	x.	NOUN
ejpam-3403	444	21	for	for	ADP
ejpam-3403	444	22	the	the	DET
ejpam-3403	444	23	case	case	NOUN
ejpam-3403	444	24	x	x	PRON
ejpam-3403	444	25	is	be	AUX
ejpam-3403	444	26	a	a	DET
ejpam-3403	444	27	constant	constant	ADJ
ejpam-3403	444	28	variable	variable	NOUN
ejpam-3403	444	29	,	,	PUNCT
ejpam-3403	444	30	it	it	PRON
ejpam-3403	444	31	seems	seem	VERB
ejpam-3403	444	32	normal	normal	ADJ
ejpam-3403	444	33	.	.	PUNCT
ejpam-3403	445	1	it	it	PRON
ejpam-3403	445	2	is	be	AUX
ejpam-3403	445	3	worth	worth	ADJ
ejpam-3403	445	4	noticing	notice	VERB
ejpam-3403	445	5	t.	t.	PROPN
ejpam-3403	445	6	hao	hao	PROPN
ejpam-3403	445	7	,	,	PUNCT
ejpam-3403	445	8	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	445	9	/	/	SYM
ejpam-3403	445	10	eur	eur	PROPN
ejpam-3403	445	11	.	.	PUNCT
ejpam-3403	446	1	j.	j.	PROPN
ejpam-3403	446	2	pure	pure	PROPN
ejpam-3403	446	3	appl	appl	PROPN
ejpam-3403	446	4	.	.	PROPN
ejpam-3403	446	5	math	math	PROPN
ejpam-3403	446	6	,	,	PUNCT
ejpam-3403	446	7	12	12	NUM
ejpam-3403	446	8	(	(	PUNCT
ejpam-3403	446	9	2	2	NUM
ejpam-3403	446	10	)	)	PUNCT
ejpam-3403	446	11	(	(	PUNCT
ejpam-3403	446	12	2019	2019	NUM
ejpam-3403	446	13	)	)	PUNCT
ejpam-3403	446	14	,	,	PUNCT
ejpam-3403	446	15	605	605	NUM
ejpam-3403	446	16	-	-	SYM
ejpam-3403	446	17	621	621	NUM
ejpam-3403	446	18	618	618	NUM
ejpam-3403	446	19	that	that	PRON
ejpam-3403	446	20	we	we	PRON
ejpam-3403	446	21	can	can	AUX
ejpam-3403	446	22	see	see	VERB
ejpam-3403	446	23	x	x	PRON
ejpam-3403	446	24	as	as	ADP
ejpam-3403	446	25	a	a	DET
ejpam-3403	446	26	random	random	ADJ
ejpam-3403	446	27	variable	variable	NOUN
ejpam-3403	446	28	which	which	PRON
ejpam-3403	446	29	obeys	obey	VERB
ejpam-3403	446	30	to	to	ADP
ejpam-3403	446	31	a	a	DET
ejpam-3403	446	32	certain	certain	ADJ
ejpam-3403	446	33	distribution	distribution	NOUN
ejpam-3403	446	34	and	and	CCONJ
ejpam-3403	446	35	then	then	ADV
ejpam-3403	446	36	take	take	VERB
ejpam-3403	446	37	mathematical	mathematical	ADJ
ejpam-3403	446	38	expectation	expectation	NOUN
ejpam-3403	446	39	on	on	ADP
ejpam-3403	446	40	the	the	DET
ejpam-3403	446	41	two	two	NUM
ejpam-3403	446	42	sides	side	NOUN
ejpam-3403	446	43	of	of	ADP
ejpam-3403	446	44	the	the	DET
ejpam-3403	446	45	equation	equation	NOUN
ejpam-3403	446	46	of	of	ADP
ejpam-3403	446	47	random	random	ADJ
ejpam-3403	446	48	variables	variable	NOUN
ejpam-3403	446	49	.	.	PUNCT
ejpam-3403	447	1	it	it	PRON
ejpam-3403	447	2	turns	turn	VERB
ejpam-3403	447	3	out	out	ADP
ejpam-3403	447	4	that	that	SCONJ
ejpam-3403	447	5	some	some	DET
ejpam-3403	447	6	interesting	interesting	ADJ
ejpam-3403	447	7	identities	identity	NOUN
ejpam-3403	447	8	including	include	VERB
ejpam-3403	447	9	the	the	DET
ejpam-3403	447	10	generalized	generalized	ADJ
ejpam-3403	447	11	higher	high	ADJ
ejpam-3403	447	12	-	-	PUNCT
ejpam-3403	447	13	order	order	NOUN
ejpam-3403	447	14	genocchi	genocchi	NOUN
ejpam-3403	447	15	numbers	number	NOUN
ejpam-3403	447	16	and	and	CCONJ
ejpam-3403	447	17	some	some	DET
ejpam-3403	447	18	combinatorial	combinatorial	ADJ
ejpam-3403	447	19	sequences	sequence	NOUN
ejpam-3403	447	20	are	be	AUX
ejpam-3403	447	21	derived	derive	VERB
ejpam-3403	447	22	.	.	PUNCT
ejpam-3403	448	1	the	the	DET
ejpam-3403	448	2	probabilistic	probabilistic	ADJ
ejpam-3403	448	3	method	method	NOUN
ejpam-3403	448	4	is	be	AUX
ejpam-3403	448	5	much	much	ADV
ejpam-3403	448	6	simpler	simple	ADJ
ejpam-3403	448	7	and	and	CCONJ
ejpam-3403	448	8	more	more	ADV
ejpam-3403	448	9	effective	effective	ADJ
ejpam-3403	448	10	here	here	ADV
ejpam-3403	448	11	.	.	PUNCT
ejpam-3403	449	1	(	(	PUNCT
ejpam-3403	449	2	1)suppose	1)suppose	NUM
ejpam-3403	449	3	that	that	PRON
ejpam-3403	449	4	r.v	r.v	VERB
ejpam-3403	449	5	x	x	SYM
ejpam-3403	449	6	=	=	SYM
ejpam-3403	449	7	1−	1−	NUM
ejpam-3403	449	8	u1u2	u1u2	PROPN
ejpam-3403	449	9	,	,	PUNCT
ejpam-3403	449	10	r.v	r.v	PROPN
ejpam-3403	449	11	u1	u1	NOUN
ejpam-3403	449	12	,	,	PUNCT
ejpam-3403	449	13	u2	u2	NOUN
ejpam-3403	449	14	,	,	PUNCT
ejpam-3403	449	15	i.i.d	i.i.d	ADP
ejpam-3403	449	16	∼	∼	NOUN
ejpam-3403	449	17	u	u	NOUN
ejpam-3403	449	18	[	[	X
ejpam-3403	449	19	0	0	NUM
ejpam-3403	449	20	,	,	PUNCT
ejpam-3403	449	21	1	1	NUM
ejpam-3403	449	22	]	]	PUNCT
ejpam-3403	449	23	,	,	PUNCT
ejpam-3403	449	24	for	for	ADP
ejpam-3403	449	25	the	the	DET
ejpam-3403	449	26	moment	moment	NOUN
ejpam-3403	449	27	representation	representation	NOUN
ejpam-3403	449	28	of	of	ADP
ejpam-3403	449	29	the	the	DET
ejpam-3403	449	30	harmonic	harmonic	ADJ
ejpam-3403	449	31	numbers	number	NOUN
ejpam-3403	449	32	hn	hn	PROPN
ejpam-3403	449	33	in	in	ADP
ejpam-3403	449	34	eq.(7	eq.(7	NOUN
ejpam-3403	449	35	)	)	PUNCT
ejpam-3403	449	36	,	,	PUNCT
ejpam-3403	449	37	the	the	DET
ejpam-3403	449	38	following	follow	VERB
ejpam-3403	449	39	identities	identity	NOUN
ejpam-3403	449	40	hold	hold	VERB
ejpam-3403	449	41	true	true	ADJ
ejpam-3403	449	42	:	:	PUNCT
ejpam-3403	449	43	n∑	n∑	PROPN
ejpam-3403	449	44	k	k	X
ejpam-3403	450	1	=	=	NOUN
ejpam-3403	450	2	α	α	X
ejpam-3403	450	3	(	(	PUNCT
ejpam-3403	450	4	n	n	NOUN
ejpam-3403	450	5	k	k	NOUN
ejpam-3403	450	6	)	)	PUNCT
ejpam-3403	450	7	(	(	PUNCT
ejpam-3403	450	8	lnc)n−k	lnc)n−k	ADP
ejpam-3403	450	9	hn−k+1	hn−k+1	PROPN
ejpam-3403	450	10	g	g	PROPN
ejpam-3403	450	11	(	(	PUNCT
ejpam-3403	450	12	α	α	NOUN
ejpam-3403	450	13	)	)	PUNCT
ejpam-3403	450	14	k	k	PROPN
ejpam-3403	450	15	(	(	PUNCT
ejpam-3403	450	16	a	a	DET
ejpam-3403	450	17	,	,	PUNCT
ejpam-3403	450	18	b	b	NOUN
ejpam-3403	450	19	)	)	PUNCT
ejpam-3403	450	20	n−	n−	NOUN
ejpam-3403	450	21	k	k	NOUN
ejpam-3403	451	1	+	+	CCONJ
ejpam-3403	451	2	1	1	NUM
ejpam-3403	451	3	=	=	SYM
ejpam-3403	451	4	n∑	n∑	NOUN
ejpam-3403	451	5	k	k	X
ejpam-3403	452	1	=	=	NOUN
ejpam-3403	452	2	α	α	X
ejpam-3403	452	3	(	(	PUNCT
ejpam-3403	452	4	n	n	NOUN
ejpam-3403	452	5	k	k	PROPN
ejpam-3403	452	6	)	)	PUNCT
ejpam-3403	452	7	(	(	PUNCT
ejpam-3403	452	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	452	9	b	b	PROPN
ejpam-3403	452	10	a	a	PRON
ejpam-3403	452	11	)	)	PUNCT
ejpam-3403	452	12	k−α	k−α	PROPN
ejpam-3403	452	13	hn−k+1	hn−k+1	PROPN
ejpam-3403	452	14	g	g	PROPN
ejpam-3403	452	15	(	(	PUNCT
ejpam-3403	452	16	α	α	NOUN
ejpam-3403	452	17	)	)	PUNCT
ejpam-3403	452	18	k	k	PROPN
ejpam-3403	452	19	(	(	PUNCT
ejpam-3403	452	20	αlna	αlna	PROPN
ejpam-3403	452	21	lna−lnb	lna−lnb	NOUN
ejpam-3403	452	22	)	)	PUNCT
ejpam-3403	452	23	n−	n−	NOUN
ejpam-3403	452	24	k	k	NOUN
ejpam-3403	453	1	+	+	CCONJ
ejpam-3403	453	2	1	1	NUM
ejpam-3403	453	3	,	,	PUNCT
ejpam-3403	453	4	n∑	n∑	NOUN
ejpam-3403	453	5	k	k	X
ejpam-3403	454	1	=	=	NOUN
ejpam-3403	454	2	α	α	X
ejpam-3403	454	3	(	(	PUNCT
ejpam-3403	454	4	n	n	NOUN
ejpam-3403	454	5	k	k	NOUN
ejpam-3403	454	6	)	)	PUNCT
ejpam-3403	454	7	(	(	PUNCT
ejpam-3403	454	8	lnc)n−k	lnc)n−k	ADP
ejpam-3403	454	9	hn−k+1	hn−k+1	PROPN
ejpam-3403	454	10	g	g	PROPN
ejpam-3403	454	11	(	(	PUNCT
ejpam-3403	454	12	α	α	NOUN
ejpam-3403	454	13	)	)	PUNCT
ejpam-3403	454	14	k	k	PROPN
ejpam-3403	454	15	(	(	PUNCT
ejpam-3403	454	16	a	a	DET
ejpam-3403	454	17	,	,	PUNCT
ejpam-3403	454	18	b	b	NOUN
ejpam-3403	454	19	)	)	PUNCT
ejpam-3403	454	20	n−	n−	NOUN
ejpam-3403	454	21	k	k	NOUN
ejpam-3403	454	22	+	+	CCONJ
ejpam-3403	454	23	1	1	NUM
ejpam-3403	454	24	=	=	SYM
ejpam-3403	454	25	n∑	n∑	NOUN
ejpam-3403	454	26	k	k	X
ejpam-3403	455	1	=	=	NOUN
ejpam-3403	455	2	α	α	PROPN
ejpam-3403	455	3	k∑	k∑	NOUN
ejpam-3403	456	1	j	j	PROPN
ejpam-3403	457	1	=	=	NOUN
ejpam-3403	457	2	α	α	PROPN
ejpam-3403	457	3	(	(	PUNCT
ejpam-3403	457	4	n	n	NOUN
ejpam-3403	457	5	k	k	NOUN
ejpam-3403	457	6	)	)	PUNCT
ejpam-3403	457	7	(	(	PUNCT
ejpam-3403	457	8	k	k	PROPN
ejpam-3403	457	9	j	j	PROPN
ejpam-3403	457	10	)	)	PUNCT
ejpam-3403	457	11	(	(	PUNCT
ejpam-3403	457	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	457	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	457	14	(	(	PUNCT
ejpam-3403	457	15	−αlna)j−k	−αlna)j−k	PROPN
ejpam-3403	457	16	hn−k+1	hn−k+1	PROPN
ejpam-3403	457	17	g	g	PROPN
ejpam-3403	457	18	(	(	PUNCT
ejpam-3403	457	19	α	α	NOUN
ejpam-3403	457	20	)	)	PUNCT
ejpam-3403	457	21	j	j	PROPN
ejpam-3403	457	22	n−	n−	PROPN
ejpam-3403	457	23	k	k	PROPN
ejpam-3403	458	1	+	+	CCONJ
ejpam-3403	458	2	1	1	X
ejpam-3403	458	3	.	.	PUNCT
ejpam-3403	459	1	(	(	PUNCT
ejpam-3403	459	2	2)suppose	2)suppose	NUM
ejpam-3403	459	3	that	that	PRON
ejpam-3403	459	4	r.v	r.v	VERB
ejpam-3403	459	5	x	x	SYM
ejpam-3403	459	6	=	=	PUNCT
ejpam-3403	459	7	γ	γ	X
ejpam-3403	459	8	−	−	PROPN
ejpam-3403	459	9	1	1	NUM
ejpam-3403	459	10	,	,	PUNCT
ejpam-3403	459	11	γ	γ	X
ejpam-3403	459	12	∼	∼	NOUN
ejpam-3403	459	13	γ(1	γ(1	PROPN
ejpam-3403	459	14	,	,	PUNCT
ejpam-3403	459	15	1	1	NUM
ejpam-3403	459	16	)	)	PUNCT
ejpam-3403	459	17	,	,	PUNCT
ejpam-3403	459	18	for	for	ADP
ejpam-3403	459	19	the	the	DET
ejpam-3403	459	20	moment	moment	NOUN
ejpam-3403	459	21	representation	representation	NOUN
ejpam-3403	459	22	of	of	ADP
ejpam-3403	459	23	the	the	DET
ejpam-3403	459	24	derangement	derangement	NOUN
ejpam-3403	459	25	numbers	number	NOUN
ejpam-3403	459	26	dn	dn	VERB
ejpam-3403	459	27	in	in	ADV
ejpam-3403	459	28	eq.(8	eq.(8	ADJ
ejpam-3403	459	29	)	)	PUNCT
ejpam-3403	459	30	,	,	PUNCT
ejpam-3403	459	31	the	the	DET
ejpam-3403	459	32	following	follow	VERB
ejpam-3403	459	33	identities	identity	NOUN
ejpam-3403	459	34	hold	hold	VERB
ejpam-3403	459	35	true	true	ADJ
ejpam-3403	459	36	:	:	PUNCT
ejpam-3403	459	37	n∑	n∑	PROPN
ejpam-3403	459	38	k	k	X
ejpam-3403	460	1	=	=	NOUN
ejpam-3403	460	2	α	α	X
ejpam-3403	460	3	(	(	PUNCT
ejpam-3403	460	4	n	n	NOUN
ejpam-3403	460	5	k	k	NOUN
ejpam-3403	460	6	)	)	PUNCT
ejpam-3403	460	7	(	(	PUNCT
ejpam-3403	460	8	lnc)n−kdn−kg	lnc)n−kdn−kg	X
ejpam-3403	460	9	(	(	PUNCT
ejpam-3403	460	10	α	α	NOUN
ejpam-3403	460	11	)	)	PUNCT
ejpam-3403	460	12	k	k	PROPN
ejpam-3403	460	13	(	(	PUNCT
ejpam-3403	460	14	a	a	DET
ejpam-3403	460	15	,	,	PUNCT
ejpam-3403	460	16	b	b	NOUN
ejpam-3403	460	17	)	)	PUNCT
ejpam-3403	460	18	=	=	SYM
ejpam-3403	460	19	n∑	n∑	NOUN
ejpam-3403	460	20	k	k	X
ejpam-3403	461	1	=	=	NOUN
ejpam-3403	461	2	α	α	X
ejpam-3403	461	3	(	(	PUNCT
ejpam-3403	461	4	n	n	NOUN
ejpam-3403	461	5	k	k	PROPN
ejpam-3403	461	6	)	)	PUNCT
ejpam-3403	461	7	(	(	PUNCT
ejpam-3403	461	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	461	9	b	b	PROPN
ejpam-3403	461	10	a	a	PRON
ejpam-3403	461	11	)	)	PUNCT
ejpam-3403	461	12	k−αdn−kg	k−αdn−kg	PROPN
ejpam-3403	461	13	(	(	PUNCT
ejpam-3403	461	14	α	α	NOUN
ejpam-3403	461	15	)	)	PUNCT
ejpam-3403	461	16	k	k	NOUN
ejpam-3403	461	17	(	(	PUNCT
ejpam-3403	461	18	αlna	αlna	PROPN
ejpam-3403	461	19	lna−	lna−	PROPN
ejpam-3403	461	20	lnb	lnb	PROPN
ejpam-3403	461	21	)	)	PUNCT
ejpam-3403	461	22	,	,	PUNCT
ejpam-3403	461	23	n∑	n∑	PROPN
ejpam-3403	461	24	k	k	X
ejpam-3403	461	25	=	=	NOUN
ejpam-3403	461	26	α	α	X
ejpam-3403	461	27	(	(	PUNCT
ejpam-3403	461	28	n	n	NOUN
ejpam-3403	461	29	k	k	NOUN
ejpam-3403	461	30	)	)	PUNCT
ejpam-3403	461	31	(	(	PUNCT
ejpam-3403	461	32	lnc)n−kdn−kg	lnc)n−kdn−kg	X
ejpam-3403	461	33	(	(	PUNCT
ejpam-3403	461	34	α	α	NOUN
ejpam-3403	461	35	)	)	PUNCT
ejpam-3403	461	36	k	k	PROPN
ejpam-3403	461	37	(	(	PUNCT
ejpam-3403	461	38	a	a	DET
ejpam-3403	461	39	,	,	PUNCT
ejpam-3403	461	40	b	b	NOUN
ejpam-3403	461	41	)	)	PUNCT
ejpam-3403	461	42	=	=	SYM
ejpam-3403	462	1	n∑	n∑	NOUN
ejpam-3403	462	2	k	k	X
ejpam-3403	463	1	=	=	NOUN
ejpam-3403	463	2	α	α	PROPN
ejpam-3403	463	3	k∑	k∑	NOUN
ejpam-3403	464	1	j	j	PROPN
ejpam-3403	465	1	=	=	NOUN
ejpam-3403	465	2	α	α	PROPN
ejpam-3403	465	3	(	(	PUNCT
ejpam-3403	465	4	n	n	NOUN
ejpam-3403	465	5	k	k	NOUN
ejpam-3403	465	6	)	)	PUNCT
ejpam-3403	465	7	(	(	PUNCT
ejpam-3403	465	8	k	k	PROPN
ejpam-3403	465	9	j	j	PROPN
ejpam-3403	465	10	)	)	PUNCT
ejpam-3403	465	11	(	(	PUNCT
ejpam-3403	465	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	465	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	465	14	(	(	PUNCT
ejpam-3403	465	15	−αlna)j−k	−αlna)j−k	NOUN
ejpam-3403	465	16	dn−kg	dn−kg	NOUN
ejpam-3403	465	17	(	(	PUNCT
ejpam-3403	465	18	α	α	NOUN
ejpam-3403	465	19	)	)	PUNCT
ejpam-3403	465	20	j	j	PROPN
ejpam-3403	465	21	.	.	PUNCT
ejpam-3403	466	1	(	(	PUNCT
ejpam-3403	466	2	3)suppose	3)suppose	NUM
ejpam-3403	466	3	that	that	PRON
ejpam-3403	466	4	r.v	r.v	VERB
ejpam-3403	466	5	x	x	SYM
ejpam-3403	466	6	=	=	PUNCT
ejpam-3403	466	7	√	√	NUM
ejpam-3403	466	8	5u+	5u+	NUM
ejpam-3403	466	9	(	(	PUNCT
ejpam-3403	466	10	1−	1−	NUM
ejpam-3403	466	11	√	√	NUM
ejpam-3403	466	12	5	5	NUM
ejpam-3403	466	13	)	)	PUNCT
ejpam-3403	466	14	2	2	NUM
ejpam-3403	466	15	,	,	PUNCT
ejpam-3403	466	16	r.v	r.v	VERB
ejpam-3403	466	17	u	u	NOUN
ejpam-3403	466	18	∼	∼	NOUN
ejpam-3403	466	19	u	u	NOUN
ejpam-3403	466	20	[	[	X
ejpam-3403	466	21	0	0	NUM
ejpam-3403	466	22	,	,	PUNCT
ejpam-3403	466	23	1	1	NUM
ejpam-3403	466	24	]	]	PUNCT
ejpam-3403	466	25	,	,	PUNCT
ejpam-3403	466	26	for	for	ADP
ejpam-3403	466	27	the	the	DET
ejpam-3403	466	28	moment	moment	NOUN
ejpam-3403	466	29	representation	representation	NOUN
ejpam-3403	466	30	of	of	ADP
ejpam-3403	466	31	the	the	DET
ejpam-3403	466	32	fibonacci	fibonacci	NOUN
ejpam-3403	466	33	numbers	number	NOUN
ejpam-3403	466	34	fn	fn	VERB
ejpam-3403	466	35	in	in	ADP
ejpam-3403	466	36	eq.(9	eq.(9	NOUN
ejpam-3403	466	37	)	)	PUNCT
ejpam-3403	466	38	,	,	PUNCT
ejpam-3403	466	39	the	the	DET
ejpam-3403	466	40	following	follow	VERB
ejpam-3403	466	41	identities	identity	NOUN
ejpam-3403	466	42	hold	hold	VERB
ejpam-3403	466	43	true	true	ADJ
ejpam-3403	466	44	:	:	PUNCT
ejpam-3403	466	45	n∑	n∑	PROPN
ejpam-3403	466	46	k	k	X
ejpam-3403	467	1	=	=	NOUN
ejpam-3403	467	2	α	α	X
ejpam-3403	467	3	(	(	PUNCT
ejpam-3403	467	4	n	n	NOUN
ejpam-3403	467	5	k	k	NOUN
ejpam-3403	467	6	)	)	PUNCT
ejpam-3403	467	7	(	(	PUNCT
ejpam-3403	467	8	lnc)n−k	lnc)n−k	ADP
ejpam-3403	467	9	fn−kg	fn−kg	PROPN
ejpam-3403	467	10	(	(	PUNCT
ejpam-3403	467	11	α	α	X
ejpam-3403	467	12	)	)	PUNCT
ejpam-3403	467	13	k	k	PROPN
ejpam-3403	467	14	(	(	PUNCT
ejpam-3403	467	15	a	a	DET
ejpam-3403	467	16	,	,	PUNCT
ejpam-3403	467	17	b	b	NOUN
ejpam-3403	467	18	)	)	PUNCT
ejpam-3403	467	19	n−	n−	NOUN
ejpam-3403	467	20	k	k	NOUN
ejpam-3403	468	1	+	+	CCONJ
ejpam-3403	468	2	1	1	NUM
ejpam-3403	468	3	=	=	SYM
ejpam-3403	468	4	n∑	n∑	NOUN
ejpam-3403	468	5	k	k	X
ejpam-3403	469	1	=	=	NOUN
ejpam-3403	469	2	α	α	X
ejpam-3403	469	3	(	(	PUNCT
ejpam-3403	469	4	n	n	NOUN
ejpam-3403	469	5	k	k	PROPN
ejpam-3403	469	6	)	)	PUNCT
ejpam-3403	469	7	(	(	PUNCT
ejpam-3403	469	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	469	9	b	b	PROPN
ejpam-3403	469	10	a	a	PRON
ejpam-3403	469	11	)	)	PUNCT
ejpam-3403	469	12	k−α	k−α	PROPN
ejpam-3403	469	13	fn−kg	fn−kg	PROPN
ejpam-3403	469	14	(	(	PUNCT
ejpam-3403	469	15	α	α	X
ejpam-3403	469	16	)	)	PUNCT
ejpam-3403	469	17	k	k	PROPN
ejpam-3403	469	18	(	(	PUNCT
ejpam-3403	469	19	αlna	αlna	PROPN
ejpam-3403	469	20	lna−lnb	lna−lnb	NOUN
ejpam-3403	469	21	)	)	PUNCT
ejpam-3403	469	22	n−	n−	NOUN
ejpam-3403	469	23	k	k	NOUN
ejpam-3403	470	1	+	+	CCONJ
ejpam-3403	470	2	1	1	NUM
ejpam-3403	470	3	,	,	PUNCT
ejpam-3403	470	4	n∑	n∑	NOUN
ejpam-3403	470	5	k	k	X
ejpam-3403	471	1	=	=	NOUN
ejpam-3403	471	2	α	α	X
ejpam-3403	471	3	(	(	PUNCT
ejpam-3403	471	4	n	n	NOUN
ejpam-3403	471	5	k	k	NOUN
ejpam-3403	471	6	)	)	PUNCT
ejpam-3403	471	7	(	(	PUNCT
ejpam-3403	471	8	lnc)n−k	lnc)n−k	ADP
ejpam-3403	471	9	fn−kg	fn−kg	PROPN
ejpam-3403	471	10	(	(	PUNCT
ejpam-3403	471	11	α	α	X
ejpam-3403	471	12	)	)	PUNCT
ejpam-3403	471	13	k	k	PROPN
ejpam-3403	471	14	(	(	PUNCT
ejpam-3403	471	15	a	a	DET
ejpam-3403	471	16	,	,	PUNCT
ejpam-3403	471	17	b	b	NOUN
ejpam-3403	471	18	)	)	PUNCT
ejpam-3403	471	19	n−	n−	NOUN
ejpam-3403	471	20	k	k	NOUN
ejpam-3403	471	21	+	+	CCONJ
ejpam-3403	471	22	1	1	NUM
ejpam-3403	471	23	=	=	SYM
ejpam-3403	471	24	n∑	n∑	NOUN
ejpam-3403	471	25	k	k	X
ejpam-3403	472	1	=	=	NOUN
ejpam-3403	472	2	α	α	PROPN
ejpam-3403	472	3	k∑	k∑	NOUN
ejpam-3403	473	1	j	j	PROPN
ejpam-3403	474	1	=	=	NOUN
ejpam-3403	474	2	α	α	PROPN
ejpam-3403	474	3	(	(	PUNCT
ejpam-3403	474	4	n	n	NOUN
ejpam-3403	474	5	k	k	NOUN
ejpam-3403	474	6	)	)	PUNCT
ejpam-3403	474	7	(	(	PUNCT
ejpam-3403	474	8	k	k	PROPN
ejpam-3403	474	9	j	j	PROPN
ejpam-3403	474	10	)	)	PUNCT
ejpam-3403	474	11	(	(	PUNCT
ejpam-3403	474	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	474	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	474	14	(	(	PUNCT
ejpam-3403	474	15	−αlna)j−k	−αlna)j−k	NOUN
ejpam-3403	474	16	fn−kg	fn−kg	PROPN
ejpam-3403	474	17	(	(	PUNCT
ejpam-3403	474	18	α	α	X
ejpam-3403	474	19	)	)	PUNCT
ejpam-3403	474	20	j	j	PROPN
ejpam-3403	474	21	n−	n−	PROPN
ejpam-3403	474	22	k	k	PROPN
ejpam-3403	475	1	+	+	PROPN
ejpam-3403	475	2	1	1	X
ejpam-3403	475	3	.	.	PUNCT
ejpam-3403	476	1	(	(	PUNCT
ejpam-3403	476	2	4)suppose	4)suppose	NUM
ejpam-3403	476	3	that	that	PRON
ejpam-3403	476	4	r.v	r.v	NOUN
ejpam-3403	476	5	x	x	SYM
ejpam-3403	476	6	=	=	SYM
ejpam-3403	476	7	x	x	NOUN
ejpam-3403	476	8	,	,	PUNCT
ejpam-3403	476	9	r.v	r.v	ADJ
ejpam-3403	476	10	x	x	PUNCT
ejpam-3403	476	11	∼	∼	NOUN
ejpam-3403	476	12	p	p	NOUN
ejpam-3403	476	13	(	(	PUNCT
ejpam-3403	476	14	1	1	NUM
ejpam-3403	476	15	)	)	PUNCT
ejpam-3403	476	16	,	,	PUNCT
ejpam-3403	476	17	for	for	ADP
ejpam-3403	476	18	the	the	DET
ejpam-3403	476	19	moment	moment	NOUN
ejpam-3403	476	20	representation	representation	NOUN
ejpam-3403	476	21	of	of	ADP
ejpam-3403	476	22	the	the	DET
ejpam-3403	476	23	bell	bell	PROPN
ejpam-3403	476	24	numbers	number	NOUN
ejpam-3403	476	25	bn	bn	ADJ
ejpam-3403	476	26	in	in	ADP
ejpam-3403	476	27	eq.(10	eq.(10	ADJ
ejpam-3403	476	28	)	)	PUNCT
ejpam-3403	476	29	,	,	PUNCT
ejpam-3403	476	30	the	the	DET
ejpam-3403	476	31	following	follow	VERB
ejpam-3403	476	32	identities	identity	NOUN
ejpam-3403	476	33	hold	hold	VERB
ejpam-3403	476	34	true	true	ADJ
ejpam-3403	476	35	:	:	PUNCT
ejpam-3403	476	36	n∑	n∑	PROPN
ejpam-3403	476	37	k	k	X
ejpam-3403	477	1	=	=	NOUN
ejpam-3403	477	2	α	α	X
ejpam-3403	477	3	(	(	PUNCT
ejpam-3403	477	4	n	n	NOUN
ejpam-3403	477	5	k	k	NOUN
ejpam-3403	477	6	)	)	PUNCT
ejpam-3403	477	7	(	(	PUNCT
ejpam-3403	477	8	lnc)n−kbn−kg	lnc)n−kbn−kg	X
ejpam-3403	477	9	(	(	PUNCT
ejpam-3403	477	10	α	α	NOUN
ejpam-3403	477	11	)	)	PUNCT
ejpam-3403	477	12	k	k	PROPN
ejpam-3403	477	13	(	(	PUNCT
ejpam-3403	477	14	a	a	DET
ejpam-3403	477	15	,	,	PUNCT
ejpam-3403	477	16	b	b	NOUN
ejpam-3403	477	17	)	)	PUNCT
ejpam-3403	477	18	=	=	SYM
ejpam-3403	477	19	n∑	n∑	NOUN
ejpam-3403	477	20	k	k	X
ejpam-3403	478	1	=	=	NOUN
ejpam-3403	478	2	α	α	X
ejpam-3403	478	3	(	(	PUNCT
ejpam-3403	478	4	n	n	NOUN
ejpam-3403	478	5	k	k	PROPN
ejpam-3403	478	6	)	)	PUNCT
ejpam-3403	478	7	(	(	PUNCT
ejpam-3403	478	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	478	9	b	b	PROPN
ejpam-3403	478	10	a	a	PRON
ejpam-3403	478	11	)	)	PUNCT
ejpam-3403	478	12	k−αbn−kg	k−αbn−kg	PROPN
ejpam-3403	478	13	(	(	PUNCT
ejpam-3403	478	14	α	α	NOUN
ejpam-3403	478	15	)	)	PUNCT
ejpam-3403	478	16	k	k	NOUN
ejpam-3403	478	17	(	(	PUNCT
ejpam-3403	478	18	αlna	αlna	PROPN
ejpam-3403	478	19	lna−	lna−	PROPN
ejpam-3403	478	20	lnb	lnb	PROPN
ejpam-3403	478	21	)	)	PUNCT
ejpam-3403	478	22	,	,	PUNCT
ejpam-3403	478	23	t.	t.	PROPN
ejpam-3403	478	24	hao	hao	PROPN
ejpam-3403	478	25	,	,	PUNCT
ejpam-3403	478	26	wuyungaowa	wuyungaowa	PROPN
ejpam-3403	478	27	/	/	SYM
ejpam-3403	478	28	eur	eur	PROPN
ejpam-3403	478	29	.	.	PUNCT
ejpam-3403	479	1	j.	j.	PROPN
ejpam-3403	479	2	pure	pure	PROPN
ejpam-3403	479	3	appl	appl	PROPN
ejpam-3403	479	4	.	.	PROPN
ejpam-3403	479	5	math	math	PROPN
ejpam-3403	479	6	,	,	PUNCT
ejpam-3403	479	7	12	12	NUM
ejpam-3403	479	8	(	(	PUNCT
ejpam-3403	479	9	2	2	NUM
ejpam-3403	479	10	)	)	PUNCT
ejpam-3403	479	11	(	(	PUNCT
ejpam-3403	479	12	2019	2019	NUM
ejpam-3403	479	13	)	)	PUNCT
ejpam-3403	479	14	,	,	PUNCT
ejpam-3403	479	15	605	605	NUM
ejpam-3403	479	16	-	-	SYM
ejpam-3403	479	17	621	621	NUM
ejpam-3403	479	18	619	619	NUM
ejpam-3403	479	19	n∑	n∑	NOUN
ejpam-3403	479	20	k	k	X
ejpam-3403	480	1	=	=	NOUN
ejpam-3403	480	2	α	α	X
ejpam-3403	480	3	(	(	PUNCT
ejpam-3403	480	4	n	n	NOUN
ejpam-3403	480	5	k	k	NOUN
ejpam-3403	480	6	)	)	PUNCT
ejpam-3403	480	7	(	(	PUNCT
ejpam-3403	480	8	lnc)n−kbn−kg	lnc)n−kbn−kg	X
ejpam-3403	480	9	(	(	PUNCT
ejpam-3403	480	10	α	α	NOUN
ejpam-3403	480	11	)	)	PUNCT
ejpam-3403	480	12	k	k	PROPN
ejpam-3403	480	13	(	(	PUNCT
ejpam-3403	480	14	a	a	DET
ejpam-3403	480	15	,	,	PUNCT
ejpam-3403	480	16	b	b	NOUN
ejpam-3403	480	17	)	)	PUNCT
ejpam-3403	480	18	=	=	SYM
ejpam-3403	480	19	n∑	n∑	NOUN
ejpam-3403	480	20	k	k	X
ejpam-3403	481	1	=	=	NOUN
ejpam-3403	481	2	α	α	PROPN
ejpam-3403	481	3	k∑	k∑	NOUN
ejpam-3403	482	1	j	j	PROPN
ejpam-3403	483	1	=	=	NOUN
ejpam-3403	483	2	α	α	PROPN
ejpam-3403	483	3	(	(	PUNCT
ejpam-3403	483	4	n	n	NOUN
ejpam-3403	483	5	k	k	NOUN
ejpam-3403	483	6	)	)	PUNCT
ejpam-3403	483	7	(	(	PUNCT
ejpam-3403	483	8	k	k	PROPN
ejpam-3403	483	9	j	j	PROPN
ejpam-3403	483	10	)	)	PUNCT
ejpam-3403	483	11	(	(	PUNCT
ejpam-3403	483	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	483	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	483	14	(	(	PUNCT
ejpam-3403	483	15	−αlna)j−k	−αlna)j−k	PROPN
ejpam-3403	483	16	bn−kg	bn−kg	NOUN
ejpam-3403	483	17	(	(	PUNCT
ejpam-3403	483	18	α	α	NOUN
ejpam-3403	483	19	)	)	PUNCT
ejpam-3403	483	20	j	j	PROPN
ejpam-3403	483	21	.	.	PUNCT
ejpam-3403	484	1	(	(	PUNCT
ejpam-3403	484	2	5)suppose	5)suppose	NUM
ejpam-3403	484	3	that	that	PRON
ejpam-3403	484	4	r.v	r.v	VERB
ejpam-3403	484	5	x	x	SYM
ejpam-3403	484	6	=	=	PUNCT
ejpam-3403	484	7	ile−	ile−	PROPN
ejpam-3403	484	8	1	1	NUM
ejpam-3403	484	9	2	2	NUM
ejpam-3403	484	10	,	,	PUNCT
ejpam-3403	484	11	r.v	r.v	PROPN
ejpam-3403	484	12	l1	l1	PROPN
ejpam-3403	484	13	,	,	PUNCT
ejpam-3403	484	14	l2	l2	NOUN
ejpam-3403	484	15	,	,	PUNCT
ejpam-3403	484	16	·	·	PUNCT
ejpam-3403	484	17	·	·	PUNCT
ejpam-3403	484	18	·	·	PUNCT
ejpam-3403	484	19	,	,	PUNCT
ejpam-3403	484	20	i.i.d	i.i.d	ADP
ejpam-3403	484	21	∼	∼	NOUN
ejpam-3403	484	22	l[0	l[0	NOUN
ejpam-3403	484	23	,	,	PUNCT
ejpam-3403	484	24	1	1	NUM
ejpam-3403	484	25	]	]	PUNCT
ejpam-3403	484	26	,	,	PUNCT
ejpam-3403	484	27	let	let	VERB
ejpam-3403	484	28	le	le	X
ejpam-3403	484	29	=	=	PUNCT
ejpam-3403	484	30	∑	∑	PUNCT
ejpam-3403	484	31	k≥1	k≥1	PROPN
ejpam-3403	484	32	lk	lk	NOUN
ejpam-3403	484	33	2kπ	2kπ	NOUN
ejpam-3403	484	34	be	be	AUX
ejpam-3403	484	35	a	a	DET
ejpam-3403	484	36	random	random	ADJ
ejpam-3403	484	37	variable	variable	NOUN
ejpam-3403	484	38	,	,	PUNCT
ejpam-3403	484	39	for	for	ADP
ejpam-3403	484	40	the	the	DET
ejpam-3403	484	41	moment	moment	NOUN
ejpam-3403	484	42	representation	representation	NOUN
ejpam-3403	484	43	of	of	ADP
ejpam-3403	484	44	the	the	DET
ejpam-3403	484	45	bernoulli	bernoulli	PROPN
ejpam-3403	484	46	numbers	number	NOUN
ejpam-3403	484	47	bn	bn	INTJ
ejpam-3403	484	48	in	in	ADP
ejpam-3403	484	49	eq.(11	eq.(11	PROPN
ejpam-3403	484	50	)	)	PUNCT
ejpam-3403	484	51	,	,	PUNCT
ejpam-3403	484	52	the	the	DET
ejpam-3403	484	53	following	follow	VERB
ejpam-3403	484	54	identities	identity	NOUN
ejpam-3403	484	55	hold	hold	VERB
ejpam-3403	484	56	true	true	ADJ
ejpam-3403	484	57	:	:	PUNCT
ejpam-3403	484	58	n∑	n∑	PROPN
ejpam-3403	484	59	k	k	X
ejpam-3403	485	1	=	=	NOUN
ejpam-3403	485	2	α	α	X
ejpam-3403	485	3	(	(	PUNCT
ejpam-3403	485	4	n	n	NOUN
ejpam-3403	485	5	k	k	NOUN
ejpam-3403	485	6	)	)	PUNCT
ejpam-3403	485	7	(	(	PUNCT
ejpam-3403	485	8	lnc)n−kbn−kg	lnc)n−kbn−kg	X
ejpam-3403	485	9	(	(	PUNCT
ejpam-3403	485	10	α	α	NOUN
ejpam-3403	485	11	)	)	PUNCT
ejpam-3403	485	12	k	k	PROPN
ejpam-3403	485	13	(	(	PUNCT
ejpam-3403	485	14	a	a	DET
ejpam-3403	485	15	,	,	PUNCT
ejpam-3403	485	16	b	b	NOUN
ejpam-3403	485	17	)	)	PUNCT
ejpam-3403	485	18	=	=	SYM
ejpam-3403	485	19	n∑	n∑	NOUN
ejpam-3403	485	20	k	k	X
ejpam-3403	486	1	=	=	NOUN
ejpam-3403	486	2	α	α	X
ejpam-3403	486	3	(	(	PUNCT
ejpam-3403	486	4	n	n	NOUN
ejpam-3403	486	5	k	k	PROPN
ejpam-3403	486	6	)	)	PUNCT
ejpam-3403	486	7	(	(	PUNCT
ejpam-3403	486	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	486	9	b	b	PROPN
ejpam-3403	486	10	a	a	PRON
ejpam-3403	486	11	)	)	PUNCT
ejpam-3403	486	12	k−αbn−kg	k−αbn−kg	PROPN
ejpam-3403	486	13	(	(	PUNCT
ejpam-3403	486	14	α	α	NOUN
ejpam-3403	486	15	)	)	PUNCT
ejpam-3403	486	16	k	k	NOUN
ejpam-3403	486	17	(	(	PUNCT
ejpam-3403	486	18	αlna	αlna	PROPN
ejpam-3403	486	19	lna−	lna−	PROPN
ejpam-3403	486	20	lnb	lnb	PROPN
ejpam-3403	486	21	)	)	PUNCT
ejpam-3403	486	22	,	,	PUNCT
ejpam-3403	486	23	n∑	n∑	PROPN
ejpam-3403	486	24	k	k	X
ejpam-3403	486	25	=	=	NOUN
ejpam-3403	486	26	α	α	X
ejpam-3403	486	27	(	(	PUNCT
ejpam-3403	486	28	n	n	NOUN
ejpam-3403	486	29	k	k	NOUN
ejpam-3403	486	30	)	)	PUNCT
ejpam-3403	486	31	(	(	PUNCT
ejpam-3403	486	32	lnc)n−kbn−kg	lnc)n−kbn−kg	X
ejpam-3403	486	33	(	(	PUNCT
ejpam-3403	486	34	α	α	NOUN
ejpam-3403	486	35	)	)	PUNCT
ejpam-3403	486	36	k	k	PROPN
ejpam-3403	486	37	(	(	PUNCT
ejpam-3403	486	38	a	a	DET
ejpam-3403	486	39	,	,	PUNCT
ejpam-3403	486	40	b	b	NOUN
ejpam-3403	486	41	)	)	PUNCT
ejpam-3403	486	42	=	=	SYM
ejpam-3403	487	1	n∑	n∑	NOUN
ejpam-3403	487	2	k	k	X
ejpam-3403	488	1	=	=	NOUN
ejpam-3403	488	2	α	α	PROPN
ejpam-3403	488	3	k∑	k∑	NOUN
ejpam-3403	489	1	j	j	PROPN
ejpam-3403	490	1	=	=	NOUN
ejpam-3403	490	2	α	α	PROPN
ejpam-3403	490	3	(	(	PUNCT
ejpam-3403	490	4	n	n	NOUN
ejpam-3403	490	5	k	k	NOUN
ejpam-3403	490	6	)	)	PUNCT
ejpam-3403	490	7	(	(	PUNCT
ejpam-3403	490	8	k	k	PROPN
ejpam-3403	490	9	j	j	PROPN
ejpam-3403	490	10	)	)	PUNCT
ejpam-3403	490	11	(	(	PUNCT
ejpam-3403	490	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	490	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	490	14	(	(	PUNCT
ejpam-3403	490	15	−αlna)j−k	−αlna)j−k	PROPN
ejpam-3403	490	16	bn−kg	bn−kg	NOUN
ejpam-3403	490	17	(	(	PUNCT
ejpam-3403	490	18	α	α	NOUN
ejpam-3403	490	19	)	)	PUNCT
ejpam-3403	490	20	j	j	PROPN
ejpam-3403	490	21	.	.	PUNCT
ejpam-3403	491	1	(	(	PUNCT
ejpam-3403	491	2	6)suppose	6)suppose	NUM
ejpam-3403	491	3	that	that	PRON
ejpam-3403	491	4	r.v	r.v	VERB
ejpam-3403	491	5	x	x	SYM
ejpam-3403	491	6	=	=	SYM
ejpam-3403	491	7	il	il	PROPN
ejpam-3403	491	8	,	,	PUNCT
ejpam-3403	491	9	l1	l1	PROPN
ejpam-3403	491	10	,	,	PUNCT
ejpam-3403	491	11	l2	l2	NOUN
ejpam-3403	491	12	,	,	PUNCT
ejpam-3403	491	13	·	·	PUNCT
ejpam-3403	491	14	·	·	PUNCT
ejpam-3403	491	15	·	·	PUNCT
ejpam-3403	491	16	,	,	PUNCT
ejpam-3403	491	17	i.i.d	i.i.d	ADP
ejpam-3403	491	18	∼	∼	NOUN
ejpam-3403	491	19	l[0	l[0	NOUN
ejpam-3403	491	20	,	,	PUNCT
ejpam-3403	491	21	1	1	NUM
ejpam-3403	491	22	]	]	PUNCT
ejpam-3403	491	23	,	,	PUNCT
ejpam-3403	491	24	let	let	VERB
ejpam-3403	491	25	r.v	r.v	NOUN
ejpam-3403	491	26	l	l	NOUN
ejpam-3403	491	27	=	=	PUNCT
ejpam-3403	491	28	∑	∑	PUNCT
ejpam-3403	491	29	k≥1	k≥1	PROPN
ejpam-3403	491	30	lk	lk	NOUN
ejpam-3403	491	31	(	(	PUNCT
ejpam-3403	491	32	2k−1)π	2k−1)π	PROPN
ejpam-3403	491	33	be	be	AUX
ejpam-3403	491	34	a	a	DET
ejpam-3403	491	35	random	random	ADJ
ejpam-3403	491	36	variable	variable	NOUN
ejpam-3403	491	37	,	,	PUNCT
ejpam-3403	491	38	for	for	ADP
ejpam-3403	491	39	the	the	DET
ejpam-3403	491	40	moment	moment	NOUN
ejpam-3403	491	41	representation	representation	NOUN
ejpam-3403	491	42	of	of	ADP
ejpam-3403	491	43	the	the	DET
ejpam-3403	491	44	euler	euler	NOUN
ejpam-3403	491	45	numbers	number	NOUN
ejpam-3403	491	46	en	en	ADV
ejpam-3403	491	47	in	in	ADP
ejpam-3403	491	48	eq.(12	eq.(12	PROPN
ejpam-3403	491	49	)	)	PUNCT
ejpam-3403	491	50	,	,	PUNCT
ejpam-3403	491	51	the	the	DET
ejpam-3403	491	52	following	follow	VERB
ejpam-3403	491	53	identities	identity	NOUN
ejpam-3403	491	54	hold	hold	VERB
ejpam-3403	491	55	true	true	ADJ
ejpam-3403	491	56	:	:	PUNCT
ejpam-3403	492	1	n∑	n∑	PROPN
ejpam-3403	492	2	k	k	X
ejpam-3403	493	1	=	=	NOUN
ejpam-3403	493	2	α	α	X
ejpam-3403	493	3	(	(	PUNCT
ejpam-3403	493	4	n	n	NOUN
ejpam-3403	493	5	k	k	NOUN
ejpam-3403	493	6	)	)	PUNCT
ejpam-3403	493	7	(	(	PUNCT
ejpam-3403	493	8	lnc)n−k	lnc)n−k	ADP
ejpam-3403	493	9	en−kg	en−kg	PROPN
ejpam-3403	493	10	(	(	PUNCT
ejpam-3403	493	11	α	α	X
ejpam-3403	493	12	)	)	PUNCT
ejpam-3403	493	13	k	k	PROPN
ejpam-3403	493	14	(	(	PUNCT
ejpam-3403	493	15	a	a	PRON
ejpam-3403	493	16	,	,	PUNCT
ejpam-3403	493	17	b	b	NOUN
ejpam-3403	493	18	)	)	PUNCT
ejpam-3403	493	19	2n−k	2n−k	NUM
ejpam-3403	493	20	=	=	SYM
ejpam-3403	493	21	n∑	n∑	NOUN
ejpam-3403	493	22	k	k	X
ejpam-3403	493	23	=	=	NOUN
ejpam-3403	493	24	α	α	X
ejpam-3403	493	25	(	(	PUNCT
ejpam-3403	493	26	n	n	NOUN
ejpam-3403	493	27	k	k	PROPN
ejpam-3403	493	28	)	)	PUNCT
ejpam-3403	493	29	(	(	PUNCT
ejpam-3403	493	30	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	493	31	b	b	PROPN
ejpam-3403	493	32	a	a	PRON
ejpam-3403	493	33	)	)	PUNCT
ejpam-3403	493	34	k−α	k−α	PROPN
ejpam-3403	493	35	en−kg	en−kg	NOUN
ejpam-3403	493	36	(	(	PUNCT
ejpam-3403	493	37	α	α	X
ejpam-3403	493	38	)	)	PUNCT
ejpam-3403	493	39	k	k	PROPN
ejpam-3403	493	40	(	(	PUNCT
ejpam-3403	493	41	αlna	αlna	PROPN
ejpam-3403	493	42	lna−lnb	lna−lnb	NOUN
ejpam-3403	493	43	)	)	PUNCT
ejpam-3403	493	44	2n−k	2n−k	NOUN
ejpam-3403	493	45	,	,	PUNCT
ejpam-3403	493	46	n∑	n∑	NOUN
ejpam-3403	493	47	k	k	X
ejpam-3403	494	1	=	=	NOUN
ejpam-3403	494	2	α	α	X
ejpam-3403	494	3	(	(	PUNCT
ejpam-3403	494	4	n	n	NOUN
ejpam-3403	494	5	k	k	NOUN
ejpam-3403	494	6	)	)	PUNCT
ejpam-3403	494	7	(	(	PUNCT
ejpam-3403	494	8	lnc)n−k	lnc)n−k	ADP
ejpam-3403	494	9	en−kg	en−kg	PROPN
ejpam-3403	494	10	(	(	PUNCT
ejpam-3403	494	11	α	α	X
ejpam-3403	494	12	)	)	PUNCT
ejpam-3403	494	13	k	k	PROPN
ejpam-3403	494	14	(	(	PUNCT
ejpam-3403	494	15	a	a	PRON
ejpam-3403	494	16	,	,	PUNCT
ejpam-3403	494	17	b	b	NOUN
ejpam-3403	494	18	)	)	PUNCT
ejpam-3403	494	19	2n−k	2n−k	NUM
ejpam-3403	494	20	=	=	SYM
ejpam-3403	494	21	n∑	n∑	NOUN
ejpam-3403	494	22	k	k	X
ejpam-3403	495	1	=	=	NOUN
ejpam-3403	495	2	α	α	PROPN
ejpam-3403	495	3	k∑	k∑	NOUN
ejpam-3403	496	1	j	j	PROPN
ejpam-3403	497	1	=	=	NOUN
ejpam-3403	497	2	α	α	PROPN
ejpam-3403	497	3	(	(	PUNCT
ejpam-3403	497	4	n	n	NOUN
ejpam-3403	497	5	k	k	NOUN
ejpam-3403	497	6	)	)	PUNCT
ejpam-3403	497	7	(	(	PUNCT
ejpam-3403	497	8	k	k	PROPN
ejpam-3403	497	9	j	j	PROPN
ejpam-3403	497	10	)	)	PUNCT
ejpam-3403	497	11	(	(	PUNCT
ejpam-3403	497	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	497	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	497	14	(	(	PUNCT
ejpam-3403	497	15	−αlna)j−k	−αlna)j−k	NOUN
ejpam-3403	497	16	en−kg	en−kg	NOUN
ejpam-3403	497	17	(	(	PUNCT
ejpam-3403	497	18	α	α	NOUN
ejpam-3403	497	19	)	)	PUNCT
ejpam-3403	497	20	j	j	PROPN
ejpam-3403	497	21	2n−k	2n−k	NUM
ejpam-3403	497	22	.	.	PUNCT
ejpam-3403	498	1	(	(	PUNCT
ejpam-3403	498	2	7)suppose	7)suppose	NUM
ejpam-3403	498	3	that	that	PRON
ejpam-3403	498	4	r.v	r.v	VERB
ejpam-3403	498	5	x	x	SYM
ejpam-3403	498	6	=	=	SYM
ejpam-3403	498	7	x	x	NOUN
ejpam-3403	498	8	,	,	PUNCT
ejpam-3403	498	9	r.v	r.v	INTJ
ejpam-3403	498	10	x	x	NOUN
ejpam-3403	498	11	∼	∼	NOUN
ejpam-3403	498	12	γ(u	γ(u	NOUN
ejpam-3403	498	13	,	,	PUNCT
ejpam-3403	498	14	1	1	NUM
ejpam-3403	498	15	)	)	PUNCT
ejpam-3403	498	16	,	,	PUNCT
ejpam-3403	498	17	u	u	NOUN
ejpam-3403	498	18	∼	∼	NOUN
ejpam-3403	498	19	u	u	NOUN
ejpam-3403	498	20	[	[	X
ejpam-3403	498	21	0	0	NUM
ejpam-3403	498	22	,	,	PUNCT
ejpam-3403	498	23	1	1	NUM
ejpam-3403	498	24	]	]	PUNCT
ejpam-3403	498	25	,	,	PUNCT
ejpam-3403	498	26	x	x	PUNCT
ejpam-3403	498	27	and	and	CCONJ
ejpam-3403	498	28	u	u	NOUN
ejpam-3403	498	29	are	be	AUX
ejpam-3403	498	30	independent	independent	ADJ
ejpam-3403	498	31	,	,	PUNCT
ejpam-3403	498	32	for	for	SCONJ
ejpam-3403	498	33	the	the	DET
ejpam-3403	498	34	moment	moment	NOUN
ejpam-3403	498	35	representation	representation	NOUN
ejpam-3403	498	36	of	of	ADP
ejpam-3403	498	37	the	the	DET
ejpam-3403	498	38	cauchy	cauchy	ADJ
ejpam-3403	498	39	numbers	number	NOUN
ejpam-3403	498	40	cn	cn	PROPN
ejpam-3403	498	41	in	in	ADP
ejpam-3403	498	42	eq.(13	eq.(13	NOUN
ejpam-3403	498	43	)	)	PUNCT
ejpam-3403	498	44	,	,	PUNCT
ejpam-3403	498	45	the	the	DET
ejpam-3403	498	46	following	follow	VERB
ejpam-3403	498	47	identities	identity	NOUN
ejpam-3403	498	48	hold	hold	VERB
ejpam-3403	498	49	true	true	ADJ
ejpam-3403	498	50	:	:	PUNCT
ejpam-3403	498	51	n∑	n∑	PROPN
ejpam-3403	498	52	k	k	X
ejpam-3403	499	1	=	=	NOUN
ejpam-3403	499	2	α	α	X
ejpam-3403	499	3	(	(	PUNCT
ejpam-3403	499	4	n	n	NOUN
ejpam-3403	499	5	k	k	NOUN
ejpam-3403	499	6	)	)	PUNCT
ejpam-3403	499	7	(	(	PUNCT
ejpam-3403	499	8	lnc)n−kcn−kg	lnc)n−kcn−kg	X
ejpam-3403	499	9	(	(	PUNCT
ejpam-3403	499	10	α	α	NOUN
ejpam-3403	499	11	)	)	PUNCT
ejpam-3403	499	12	k	k	PROPN
ejpam-3403	499	13	(	(	PUNCT
ejpam-3403	499	14	a	a	DET
ejpam-3403	499	15	,	,	PUNCT
ejpam-3403	499	16	b	b	NOUN
ejpam-3403	499	17	)	)	PUNCT
ejpam-3403	499	18	=	=	SYM
ejpam-3403	499	19	n∑	n∑	NOUN
ejpam-3403	499	20	k	k	X
ejpam-3403	500	1	=	=	NOUN
ejpam-3403	500	2	α	α	X
ejpam-3403	500	3	(	(	PUNCT
ejpam-3403	500	4	n	n	NOUN
ejpam-3403	500	5	k	k	PROPN
ejpam-3403	500	6	)	)	PUNCT
ejpam-3403	500	7	(	(	PUNCT
ejpam-3403	500	8	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	500	9	b	b	PROPN
ejpam-3403	500	10	a	a	PRON
ejpam-3403	500	11	)	)	PUNCT
ejpam-3403	500	12	k−αcn−kg	k−αcn−kg	PROPN
ejpam-3403	500	13	(	(	PUNCT
ejpam-3403	500	14	α	α	NOUN
ejpam-3403	500	15	)	)	PUNCT
ejpam-3403	500	16	k	k	NOUN
ejpam-3403	500	17	(	(	PUNCT
ejpam-3403	500	18	αlna	αlna	PROPN
ejpam-3403	500	19	lna−	lna−	PROPN
ejpam-3403	500	20	lnb	lnb	PROPN
ejpam-3403	500	21	)	)	PUNCT
ejpam-3403	500	22	,	,	PUNCT
ejpam-3403	500	23	n∑	n∑	PROPN
ejpam-3403	500	24	k	k	X
ejpam-3403	500	25	=	=	NOUN
ejpam-3403	500	26	α	α	X
ejpam-3403	500	27	(	(	PUNCT
ejpam-3403	500	28	n	n	NOUN
ejpam-3403	500	29	k	k	NOUN
ejpam-3403	500	30	)	)	PUNCT
ejpam-3403	500	31	(	(	PUNCT
ejpam-3403	500	32	lnc)n−kcn−kg	lnc)n−kcn−kg	X
ejpam-3403	500	33	(	(	PUNCT
ejpam-3403	500	34	α	α	NOUN
ejpam-3403	500	35	)	)	PUNCT
ejpam-3403	500	36	k	k	PROPN
ejpam-3403	500	37	(	(	PUNCT
ejpam-3403	500	38	a	a	DET
ejpam-3403	500	39	,	,	PUNCT
ejpam-3403	500	40	b	b	NOUN
ejpam-3403	500	41	)	)	PUNCT
ejpam-3403	500	42	=	=	SYM
ejpam-3403	501	1	n∑	n∑	NOUN
ejpam-3403	501	2	k	k	X
ejpam-3403	502	1	=	=	NOUN
ejpam-3403	502	2	α	α	PROPN
ejpam-3403	502	3	k∑	k∑	NOUN
ejpam-3403	503	1	j	j	PROPN
ejpam-3403	504	1	=	=	NOUN
ejpam-3403	504	2	α	α	PROPN
ejpam-3403	504	3	(	(	PUNCT
ejpam-3403	504	4	n	n	NOUN
ejpam-3403	504	5	k	k	NOUN
ejpam-3403	504	6	)	)	PUNCT
ejpam-3403	504	7	(	(	PUNCT
ejpam-3403	504	8	k	k	PROPN
ejpam-3403	504	9	j	j	PROPN
ejpam-3403	504	10	)	)	PUNCT
ejpam-3403	504	11	(	(	PUNCT
ejpam-3403	504	12	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	504	13	ba)j−α	ba)j−α	PROPN
ejpam-3403	504	14	(	(	PUNCT
ejpam-3403	504	15	−αlna)j−k	−αlna)j−k	PROPN
ejpam-3403	504	16	cn−kg	cn−kg	PROPN
ejpam-3403	504	17	(	(	PUNCT
ejpam-3403	504	18	α	α	NOUN
ejpam-3403	504	19	)	)	PUNCT
ejpam-3403	504	20	j	j	PROPN
ejpam-3403	504	21	.	.	PUNCT
ejpam-3403	505	1	(	(	PUNCT
ejpam-3403	505	2	8)suppose	8)suppose	NOUN
ejpam-3403	505	3	that	that	PRON
ejpam-3403	505	4	r.v	r.v	VERB
ejpam-3403	505	5	x	x	SYM
ejpam-3403	505	6	=	=	SYM
ejpam-3403	505	7	u1	u1	NOUN
ejpam-3403	505	8	+	+	CCONJ
ejpam-3403	505	9	u2	u2	PROPN
ejpam-3403	505	10	+	+	CCONJ
ejpam-3403	505	11	·	·	PUNCT
ejpam-3403	505	12	·	·	PUNCT
ejpam-3403	505	13	·	·	PUNCT
ejpam-3403	506	1	+	+	NUM
ejpam-3403	506	2	uk	uk	PROPN
ejpam-3403	506	3	,	,	PUNCT
ejpam-3403	506	4	r.v	r.v	PROPN
ejpam-3403	506	5	u1	u1	NOUN
ejpam-3403	506	6	,	,	PUNCT
ejpam-3403	506	7	u2	u2	PROPN
ejpam-3403	506	8	,	,	PUNCT
ejpam-3403	506	9	·	·	PUNCT
ejpam-3403	506	10	·	·	PUNCT
ejpam-3403	506	11	·	·	PUNCT
ejpam-3403	506	12	,	,	PUNCT
ejpam-3403	506	13	i.i.d	i.i.d	ADP
ejpam-3403	506	14	∼	∼	NOUN
ejpam-3403	506	15	u	u	NOUN
ejpam-3403	506	16	[	[	X
ejpam-3403	506	17	0	0	NUM
ejpam-3403	506	18	,	,	PUNCT
ejpam-3403	506	19	1	1	NUM
ejpam-3403	506	20	]	]	PUNCT
ejpam-3403	506	21	,	,	PUNCT
ejpam-3403	506	22	for	for	ADP
ejpam-3403	506	23	all	all	DET
ejpam-3403	506	24	i	i	PRON
ejpam-3403	506	25	and	and	CCONJ
ejpam-3403	506	26	n	n	CCONJ
ejpam-3403	506	27	,	,	PUNCT
ejpam-3403	506	28	k	k	X
ejpam-3403	506	29	>	>	X
ejpam-3403	506	30	1	1	NUM
ejpam-3403	506	31	,	,	PUNCT
ejpam-3403	506	32	for	for	ADP
ejpam-3403	506	33	the	the	DET
ejpam-3403	506	34	moment	moment	NOUN
ejpam-3403	506	35	representation	representation	NOUN
ejpam-3403	506	36	of	of	ADP
ejpam-3403	506	37	the	the	DET
ejpam-3403	506	38	stirling	stirling	NOUN
ejpam-3403	506	39	numbers	number	NOUN
ejpam-3403	506	40	of	of	ADP
ejpam-3403	506	41	second	second	ADJ
ejpam-3403	506	42	kind	kind	NOUN
ejpam-3403	506	43	s(n	s(n	PROPN
ejpam-3403	506	44	,	,	PUNCT
ejpam-3403	506	45	k	k	NOUN
ejpam-3403	506	46	)	)	PUNCT
ejpam-3403	506	47	in	in	ADP
ejpam-3403	506	48	eq.(14	eq.(14	NOUN
ejpam-3403	506	49	)	)	PUNCT
ejpam-3403	506	50	,	,	PUNCT
ejpam-3403	506	51	the	the	DET
ejpam-3403	506	52	following	follow	VERB
ejpam-3403	506	53	identities	identity	NOUN
ejpam-3403	506	54	hold	hold	VERB
ejpam-3403	506	55	true	true	ADJ
ejpam-3403	506	56	:	:	PUNCT
ejpam-3403	506	57	n∑	n∑	PROPN
ejpam-3403	506	58	k	k	X
ejpam-3403	507	1	=	=	NOUN
ejpam-3403	507	2	α	α	X
ejpam-3403	507	3	(	(	PUNCT
ejpam-3403	507	4	lnc)n−ks(n	lnc)n−ks(n	PROPN
ejpam-3403	507	5	,	,	PUNCT
ejpam-3403	507	6	k)g	k)g	X
ejpam-3403	507	7	(	(	PUNCT
ejpam-3403	507	8	α	α	NOUN
ejpam-3403	507	9	)	)	PUNCT
ejpam-3403	507	10	k	k	PROPN
ejpam-3403	507	11	(	(	PUNCT
ejpam-3403	507	12	a	a	DET
ejpam-3403	507	13	,	,	PUNCT
ejpam-3403	507	14	b	b	NOUN
ejpam-3403	507	15	)	)	PUNCT
ejpam-3403	507	16	=	=	SYM
ejpam-3403	507	17	n∑	n∑	NOUN
ejpam-3403	507	18	k	k	X
ejpam-3403	508	1	=	=	NOUN
ejpam-3403	508	2	α	α	X
ejpam-3403	508	3	(	(	PUNCT
ejpam-3403	508	4	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	508	5	b	b	PROPN
ejpam-3403	508	6	a	a	PRON
ejpam-3403	508	7	)	)	PUNCT
ejpam-3403	508	8	k−αs(n	k−αs(n	ADJ
ejpam-3403	508	9	,	,	PUNCT
ejpam-3403	508	10	k)g	k)g	X
ejpam-3403	508	11	(	(	PUNCT
ejpam-3403	508	12	α	α	NOUN
ejpam-3403	508	13	)	)	PUNCT
ejpam-3403	508	14	k	k	NOUN
ejpam-3403	508	15	(	(	PUNCT
ejpam-3403	508	16	αlna	αlna	PROPN
ejpam-3403	508	17	lna−	lna−	PROPN
ejpam-3403	508	18	lnb	lnb	PROPN
ejpam-3403	508	19	)	)	PUNCT
ejpam-3403	508	20	,	,	PUNCT
ejpam-3403	508	21	n∑	n∑	PROPN
ejpam-3403	508	22	k	k	X
ejpam-3403	509	1	=	=	NOUN
ejpam-3403	509	2	α	α	X
ejpam-3403	509	3	(	(	PUNCT
ejpam-3403	509	4	lnc)n−ks(n	lnc)n−ks(n	PROPN
ejpam-3403	509	5	,	,	PUNCT
ejpam-3403	509	6	k)g	k)g	X
ejpam-3403	509	7	(	(	PUNCT
ejpam-3403	509	8	α	α	NOUN
ejpam-3403	509	9	)	)	PUNCT
ejpam-3403	509	10	k	k	PROPN
ejpam-3403	509	11	(	(	PUNCT
ejpam-3403	509	12	a	a	DET
ejpam-3403	509	13	,	,	PUNCT
ejpam-3403	509	14	b	b	NOUN
ejpam-3403	509	15	)	)	PUNCT
ejpam-3403	509	16	=	=	SYM
ejpam-3403	509	17	n∑	n∑	NOUN
ejpam-3403	509	18	k	k	X
ejpam-3403	510	1	=	=	NOUN
ejpam-3403	510	2	α	α	PROPN
ejpam-3403	510	3	k∑	k∑	NOUN
ejpam-3403	511	1	j	j	PROPN
ejpam-3403	511	2	=	=	NOUN
ejpam-3403	511	3	α	α	PROPN
ejpam-3403	511	4	(	(	PUNCT
ejpam-3403	511	5	k	k	PROPN
ejpam-3403	511	6	j	j	PROPN
ejpam-3403	511	7	)	)	PUNCT
ejpam-3403	511	8	(	(	PUNCT
ejpam-3403	511	9	lnc)n−k(ln	lnc)n−k(ln	PROPN
ejpam-3403	511	10	ba)j−α	ba)j−α	PROPN
ejpam-3403	511	11	(	(	PUNCT
ejpam-3403	511	12	−αlna)j−k	−αlna)j−k	PROPN
ejpam-3403	511	13	s(n	s(n	PROPN
ejpam-3403	511	14	,	,	PUNCT
ejpam-3403	511	15	k)g	k)g	X
ejpam-3403	511	16	(	(	PUNCT
ejpam-3403	511	17	α	α	NOUN
ejpam-3403	511	18	)	)	PUNCT
ejpam-3403	511	19	j	j	PROPN
ejpam-3403	511	20	.	.	PUNCT
ejpam-3403	512	1	references	reference	NOUN
ejpam-3403	512	2	620	620	NUM
ejpam-3403	512	3	acknowledgements	acknowledgement	NOUN
ejpam-3403	512	4	the	the	DET
ejpam-3403	512	5	research	research	NOUN
ejpam-3403	512	6	is	be	AUX
ejpam-3403	512	7	supported	support	VERB
ejpam-3403	512	8	by	by	ADP
ejpam-3403	512	9	the	the	DET
ejpam-3403	512	10	natural	natural	ADJ
ejpam-3403	512	11	science	science	PROPN
ejpam-3403	512	12	foundation	foundation	PROPN
ejpam-3403	512	13	of	of	ADP
ejpam-3403	512	14	china	china	PROPN
ejpam-3403	512	15	under	under	ADP
ejpam-3403	512	16	grant	grant	PROPN
ejpam-3403	512	17	11461050	11461050	NUM
ejpam-3403	512	18	and	and	CCONJ
ejpam-3403	512	19	natural	natural	ADJ
ejpam-3403	512	20	science	science	NOUN
ejpam-3403	512	21	foundation	foundation	NOUN
ejpam-3403	512	22	of	of	ADP
ejpam-3403	512	23	inner	inner	PROPN
ejpam-3403	512	24	mongolia	mongolia	PROPN
ejpam-3403	512	25	under	under	ADP
ejpam-3403	512	26	grant	grant	PROPN
ejpam-3403	512	27	2016ms0104	2016ms0104	PROPN
ejpam-3403	512	28	.	.	PUNCT
ejpam-3403	513	1	references	reference	NOUN
ejpam-3403	513	2	[	[	X
ejpam-3403	513	3	1	1	NUM
ejpam-3403	513	4	]	]	PUNCT
ejpam-3403	513	5	s.	s.	PROPN
ejpam-3403	513	6	araci	araci	PROPN
ejpam-3403	513	7	,	,	PUNCT
ejpam-3403	513	8	w.a	w.a	PROPN
ejpam-3403	513	9	.	.	PROPN
ejpam-3403	513	10	khan	khan	PROPN
ejpam-3403	513	11	,	,	PUNCT
ejpam-3403	513	12	and	and	CCONJ
ejpam-3403	513	13	m.	m.	NOUN
ejpam-3403	513	14	acikgoz	acikgoz	PROPN
ejpam-3403	513	15	et	et	PROPN
ejpam-3403	513	16	al	al	PROPN
ejpam-3403	513	17	.	.	PUNCT
ejpam-3403	514	1	a	a	DET
ejpam-3403	514	2	new	new	ADJ
ejpam-3403	514	3	generalization	generalization	NOUN
ejpam-3403	514	4	of	of	ADP
ejpam-3403	514	5	apostol	apostol	PROPN
ejpam-3403	514	6	type	type	NOUN
ejpam-3403	514	7	hermite	hermite	PROPN
ejpam-3403	514	8	-	-	PUNCT
ejpam-3403	514	9	genocchi	genocchi	PROPN
ejpam-3403	514	10	polynomials	polynomial	NOUN
ejpam-3403	514	11	and	and	CCONJ
ejpam-3403	514	12	its	its	PRON
ejpam-3403	514	13	applications	application	NOUN
ejpam-3403	514	14	.	.	PUNCT
ejpam-3403	515	1	springerplus	springerplus	PROPN
ejpam-3403	515	2	,	,	PUNCT
ejpam-3403	515	3	5(1):1–17	5(1):1–17	NUM
ejpam-3403	515	4	,	,	PUNCT
ejpam-3403	515	5	2016	2016	NUM
ejpam-3403	515	6	.	.	PUNCT
ejpam-3403	516	1	[	[	X
ejpam-3403	516	2	2	2	X
ejpam-3403	516	3	]	]	PUNCT
ejpam-3403	516	4	s.	s.	PROPN
ejpam-3403	516	5	gaboury	gaboury	PROPN
ejpam-3403	516	6	and	and	CCONJ
ejpam-3403	516	7	b.	b.	PROPN
ejpam-3403	516	8	kurt	kurt	PROPN
ejpam-3403	516	9	.	.	PUNCT
ejpam-3403	517	1	some	some	DET
ejpam-3403	517	2	relations	relation	NOUN
ejpam-3403	517	3	involving	involve	VERB
ejpam-3403	517	4	hermite	hermite	PROPN
ejpam-3403	517	5	-	-	PUNCT
ejpam-3403	517	6	based	base	VERB
ejpam-3403	517	7	apostol	apostol	NOUN
ejpam-3403	517	8	-	-	PUNCT
ejpam-3403	517	9	genocchi	genocchi	PROPN
ejpam-3403	517	10	polynomials	polynomial	NOUN
ejpam-3403	517	11	.	.	PUNCT
ejpam-3403	518	1	applied	apply	VERB
ejpam-3403	518	2	mathematics	mathematic	NOUN
ejpam-3403	518	3	sciences	science	NOUN
ejpam-3403	518	4	,	,	PUNCT
ejpam-3403	518	5	6(82):4091–4102	6(82):4091–4102	NUM
ejpam-3403	518	6	,	,	PUNCT
ejpam-3403	518	7	2012	2012	NUM
ejpam-3403	518	8	.	.	PUNCT
ejpam-3403	519	1	[	[	X
ejpam-3403	519	2	3	3	X
ejpam-3403	519	3	]	]	X
ejpam-3403	519	4	y.	y.	NOUN
ejpam-3403	519	5	he	he	PRON
ejpam-3403	519	6	,	,	PUNCT
ejpam-3403	519	7	s.	s.	PROPN
ejpam-3403	519	8	araci	araci	PROPN
ejpam-3403	519	9	,	,	PUNCT
ejpam-3403	519	10	h.m	h.m	PROPN
ejpam-3403	519	11	.	.	PROPN
ejpam-3403	519	12	srivastava	srivastava	PROPN
ejpam-3403	519	13	,	,	PUNCT
ejpam-3403	519	14	and	and	CCONJ
ejpam-3403	519	15	m.	m.	NOUN
ejpam-3403	519	16	acikgoz	acikgoz	VERB
ejpam-3403	519	17	.	.	PUNCT
ejpam-3403	520	1	some	some	DET
ejpam-3403	520	2	new	new	ADJ
ejpam-3403	520	3	identities	identity	NOUN
ejpam-3403	520	4	for	for	ADP
ejpam-3403	520	5	the	the	DET
ejpam-3403	520	6	apostol	apostol	NOUN
ejpam-3403	520	7	-	-	PUNCT
ejpam-3403	520	8	bernoulli	bernoulli	NOUN
ejpam-3403	520	9	polynomials	polynomial	NOUN
ejpam-3403	520	10	and	and	CCONJ
ejpam-3403	520	11	the	the	DET
ejpam-3403	520	12	apostol	apostol	NOUN
ejpam-3403	520	13	-	-	PUNCT
ejpam-3403	520	14	genocchi	genocchi	PROPN
ejpam-3403	520	15	polynomials	polynomial	NOUN
ejpam-3403	520	16	.	.	PUNCT
ejpam-3403	521	1	applied	apply	VERB
ejpam-3403	521	2	mathematics	mathematic	NOUN
ejpam-3403	521	3	and	and	CCONJ
ejpam-3403	521	4	computation	computation	NOUN
ejpam-3403	521	5	,	,	PUNCT
ejpam-3403	521	6	262(c):31–41	262(c):31–41	NUM
ejpam-3403	521	7	,	,	PUNCT
ejpam-3403	521	8	2015	2015	NUM
ejpam-3403	521	9	.	.	PUNCT
ejpam-3403	522	1	[	[	X
ejpam-3403	522	2	4	4	X
ejpam-3403	522	3	]	]	X
ejpam-3403	522	4	h.	h.	PROPN
ejpam-3403	522	5	jolany	jolany	PROPN
ejpam-3403	522	6	,	,	PUNCT
ejpam-3403	522	7	r.e	r.e	PROPN
ejpam-3403	522	8	.	.	PROPN
ejpam-3403	522	9	alikelaye	alikelaye	PROPN
ejpam-3403	522	10	,	,	PUNCT
ejpam-3403	522	11	and	and	CCONJ
ejpam-3403	522	12	s.s	s.s	PROPN
ejpam-3403	522	13	.	.	PROPN
ejpam-3403	522	14	mohamad	mohamad	PROPN
ejpam-3403	522	15	.	.	PUNCT
ejpam-3403	523	1	some	some	DET
ejpam-3403	523	2	results	result	NOUN
ejpam-3403	523	3	on	on	ADP
ejpam-3403	523	4	the	the	DET
ejpam-3403	523	5	generalization	generalization	NOUN
ejpam-3403	523	6	of	of	ADP
ejpam-3403	523	7	bernoulli	bernoulli	PROPN
ejpam-3403	523	8	,	,	PUNCT
ejpam-3403	523	9	euler	euler	VERB
ejpam-3403	523	10	and	and	CCONJ
ejpam-3403	523	11	genocchi	genocchi	PROPN
ejpam-3403	523	12	polynomials	polynomial	NOUN
ejpam-3403	523	13	.	.	PUNCT
ejpam-3403	524	1	acta	acta	VERB
ejpam-3403	524	2	univ.apulensis	univ.apulensis	NOUN
ejpam-3403	524	3	math.inform	math.inform	NOUN
ejpam-3403	524	4	,	,	PUNCT
ejpam-3403	524	5	27(27):299–306	27(27):299–306	NUM
ejpam-3403	524	6	,	,	PUNCT
ejpam-3403	524	7	2011	2011	NUM
ejpam-3403	524	8	.	.	PUNCT
ejpam-3403	525	1	[	[	X
ejpam-3403	525	2	5	5	X
ejpam-3403	525	3	]	]	PUNCT
ejpam-3403	525	4	h.	h.	PROPN
ejpam-3403	525	5	jolany	jolany	PROPN
ejpam-3403	525	6	,	,	PUNCT
ejpam-3403	525	7	h.	h.	PROPN
ejpam-3403	525	8	sharifi	sharifi	PROPN
ejpam-3403	525	9	,	,	PUNCT
ejpam-3403	525	10	and	and	CCONJ
ejpam-3403	525	11	r.e	r.e	PROPN
ejpam-3403	525	12	.	.	PROPN
ejpam-3403	525	13	alikelaye	alikelaye	PROPN
ejpam-3403	525	14	.	.	PUNCT
ejpam-3403	526	1	some	some	DET
ejpam-3403	526	2	results	result	NOUN
ejpam-3403	526	3	for	for	ADP
ejpam-3403	526	4	the	the	DET
ejpam-3403	526	5	apostol	apostol	NOUN
ejpam-3403	526	6	-	-	PUNCT
ejpam-3403	526	7	genocchi	genocchi	PROPN
ejpam-3403	526	8	polynomials	polynomial	NOUN
ejpam-3403	526	9	of	of	ADP
ejpam-3403	526	10	higher	high	ADJ
ejpam-3403	526	11	order	order	NOUN
ejpam-3403	526	12	.	.	PUNCT
ejpam-3403	527	1	bulletin	bulletin	NOUN
ejpam-3403	527	2	of	of	ADP
ejpam-3403	527	3	the	the	DET
ejpam-3403	527	4	malaysian	malaysian	PROPN
ejpam-3403	527	5	mathematical	mathematical	PROPN
ejpam-3403	527	6	society	society	NOUN
ejpam-3403	527	7	,	,	PUNCT
ejpam-3403	527	8	36(36):465	36(36):465	NUM
ejpam-3403	527	9	–	–	PUNCT
ejpam-3403	527	10	479	479	NUM
ejpam-3403	527	11	,	,	PUNCT
ejpam-3403	527	12	2011	2011	NUM
ejpam-3403	527	13	.	.	PUNCT
ejpam-3403	528	1	[	[	X
ejpam-3403	528	2	6	6	NUM
ejpam-3403	528	3	]	]	X
ejpam-3403	528	4	w.a	w.a	PROPN
ejpam-3403	528	5	.	.	PROPN
ejpam-3403	528	6	khan	khan	PROPN
ejpam-3403	528	7	.	.	PUNCT
ejpam-3403	529	1	a	a	DET
ejpam-3403	529	2	new	new	ADJ
ejpam-3403	529	3	class	class	NOUN
ejpam-3403	529	4	of	of	ADP
ejpam-3403	529	5	hermite	hermite	ADJ
ejpam-3403	529	6	poly	poly	ADJ
ejpam-3403	529	7	-	-	PUNCT
ejpam-3403	529	8	genocchi	genocchi	PROPN
ejpam-3403	529	9	polynomials	polynomial	NOUN
ejpam-3403	529	10	.	.	PUNCT
ejpam-3403	530	1	journal	journal	NOUN
ejpam-3403	530	2	of	of	ADP
ejpam-3403	530	3	analysis	analysis	NOUN
ejpam-3403	530	4	and	and	CCONJ
ejpam-3403	530	5	number	number	NOUN
ejpam-3403	530	6	theory	theory	NOUN
ejpam-3403	530	7	,	,	PUNCT
ejpam-3403	530	8	4:1–8	4:1–8	NUM
ejpam-3403	530	9	,	,	PUNCT
ejpam-3403	530	10	2016	2016	NUM
ejpam-3403	530	11	.	.	PUNCT
ejpam-3403	531	1	[	[	X
ejpam-3403	531	2	7	7	NUM
ejpam-3403	531	3	]	]	X
ejpam-3403	531	4	w.a	w.a	PROPN
ejpam-3403	531	5	.	.	PROPN
ejpam-3403	531	6	khan	khan	PROPN
ejpam-3403	531	7	,	,	PUNCT
ejpam-3403	531	8	s.	s.	PROPN
ejpam-3403	531	9	araci	araci	PROPN
ejpam-3403	531	10	,	,	PUNCT
ejpam-3403	531	11	m.	m.	NOUN
ejpam-3403	531	12	acikgoz	acikgoz	ADJ
ejpam-3403	531	13	,	,	PUNCT
ejpam-3403	531	14	and	and	CCONJ
ejpam-3403	531	15	h.	h.	PROPN
ejpam-3403	531	16	haroon	haroon	PROPN
ejpam-3403	531	17	.	.	PUNCT
ejpam-3403	532	1	a	a	DET
ejpam-3403	532	2	new	new	ADJ
ejpam-3403	532	3	class	class	NOUN
ejpam-3403	532	4	of	of	ADP
ejpam-3403	532	5	partially	partially	ADV
ejpam-3403	532	6	degenerate	degenerate	ADJ
ejpam-3403	532	7	hermite	hermite	ADJ
ejpam-3403	532	8	-	-	PUNCT
ejpam-3403	532	9	genocchi	genocchi	PROPN
ejpam-3403	532	10	polynomials	polynomial	NOUN
ejpam-3403	532	11	.	.	PUNCT
ejpam-3403	533	1	journal	journal	PROPN
ejpam-3403	533	2	of	of	ADP
ejpam-3403	533	3	nonlinear	nonlinear	PROPN
ejpam-3403	533	4	sciences	sciences	PROPN
ejpam-3403	533	5	and	and	CCONJ
ejpam-3403	533	6	applications	application	NOUN
ejpam-3403	533	7	,	,	PUNCT
ejpam-3403	533	8	10(9):5072–5081	10(9):5072–5081	NUM
ejpam-3403	533	9	,	,	PUNCT
ejpam-3403	533	10	2017	2017	NUM
ejpam-3403	533	11	.	.	PUNCT
ejpam-3403	534	1	[	[	X
ejpam-3403	534	2	8	8	NUM
ejpam-3403	534	3	]	]	X
ejpam-3403	534	4	w.a	w.a	PROPN
ejpam-3403	534	5	.	.	PROPN
ejpam-3403	534	6	khan	khan	PROPN
ejpam-3403	534	7	and	and	CCONJ
ejpam-3403	534	8	m.	m.	NOUN
ejpam-3403	534	9	ghayasuddin	ghayasuddin	PROPN
ejpam-3403	534	10	.	.	PUNCT
ejpam-3403	535	1	some	some	DET
ejpam-3403	535	2	symmetric	symmetric	ADJ
ejpam-3403	535	3	identities	identity	NOUN
ejpam-3403	535	4	for	for	ADP
ejpam-3403	535	5	the	the	DET
ejpam-3403	535	6	generalized	generalize	VERB
ejpam-3403	535	7	hermite	hermite	PROPN
ejpam-3403	535	8	-	-	PUNCT
ejpam-3403	535	9	euler	euler	NOUN
ejpam-3403	535	10	and	and	CCONJ
ejpam-3403	535	11	hermite	hermite	PROPN
ejpam-3403	535	12	-	-	PUNCT
ejpam-3403	535	13	genocchi	genocchi	PROPN
ejpam-3403	535	14	polynomials	polynomial	NOUN
ejpam-3403	535	15	.	.	PUNCT
ejpam-3403	536	1	journal	journal	NOUN
ejpam-3403	536	2	of	of	ADP
ejpam-3403	536	3	analysis	analysis	NOUN
ejpam-3403	536	4	and	and	CCONJ
ejpam-3403	536	5	number	number	NOUN
ejpam-3403	536	6	theory	theory	NOUN
ejpam-3403	536	7	,	,	PUNCT
ejpam-3403	536	8	5(2):1–7	5(2):1–7	NUM
ejpam-3403	536	9	,	,	PUNCT
ejpam-3403	536	10	2017	2017	NUM
ejpam-3403	536	11	.	.	PUNCT
ejpam-3403	537	1	[	[	X
ejpam-3403	537	2	9	9	NUM
ejpam-3403	537	3	]	]	X
ejpam-3403	537	4	w.a	w.a	PROPN
ejpam-3403	537	5	.	.	PROPN
ejpam-3403	537	6	khan	khan	PROPN
ejpam-3403	537	7	and	and	CCONJ
ejpam-3403	537	8	h.	h.	PROPN
ejpam-3403	537	9	haroon	haroon	PROPN
ejpam-3403	537	10	.	.	PUNCT
ejpam-3403	538	1	some	some	DET
ejpam-3403	538	2	symmetric	symmetric	ADJ
ejpam-3403	538	3	identities	identity	NOUN
ejpam-3403	538	4	for	for	ADP
ejpam-3403	538	5	the	the	DET
ejpam-3403	538	6	generalized	generalized	ADJ
ejpam-3403	538	7	bernoulli	bernoulli	PROPN
ejpam-3403	538	8	,	,	PUNCT
ejpam-3403	538	9	euler	euler	NOUN
ejpam-3403	538	10	and	and	CCONJ
ejpam-3403	538	11	genocchi	genocchi	PROPN
ejpam-3403	538	12	polynomials	polynomial	NOUN
ejpam-3403	538	13	associated	associate	VERB
ejpam-3403	538	14	with	with	ADP
ejpam-3403	538	15	hermite	hermite	ADJ
ejpam-3403	538	16	polynomials	polynomial	NOUN
ejpam-3403	538	17	.	.	PUNCT
ejpam-3403	539	1	springer	springer	NOUN
ejpam-3403	539	2	plus	plus	CCONJ
ejpam-3403	539	3	,	,	PUNCT
ejpam-3403	539	4	5(1):1–21	5(1):1–21	PROPN
ejpam-3403	539	5	,	,	PUNCT
ejpam-3403	539	6	2016	2016	NUM
ejpam-3403	539	7	.	.	PUNCT
ejpam-3403	540	1	[	[	X
ejpam-3403	540	2	10	10	NUM
ejpam-3403	540	3	]	]	X
ejpam-3403	540	4	q.m	q.m	PROPN
ejpam-3403	540	5	.	.	PROPN
ejpam-3403	540	6	luo	luo	PROPN
ejpam-3403	540	7	,	,	PUNCT
ejpam-3403	540	8	f.	f.	PROPN
ejpam-3403	540	9	qi	qi	PROPN
ejpam-3403	540	10	,	,	PUNCT
ejpam-3403	540	11	and	and	CCONJ
ejpam-3403	540	12	l.	l.	PROPN
ejpam-3403	540	13	debnath	debnath	PROPN
ejpam-3403	540	14	.	.	PUNCT
ejpam-3403	541	1	generalizations	generalization	NOUN
ejpam-3403	541	2	of	of	ADP
ejpam-3403	541	3	euler	euler	NOUN
ejpam-3403	541	4	numbers	number	NOUN
ejpam-3403	541	5	and	and	CCONJ
ejpam-3403	541	6	polynomials	polynomial	NOUN
ejpam-3403	541	7	.	.	PUNCT
ejpam-3403	542	1	international	international	ADJ
ejpam-3403	542	2	journal	journal	PROPN
ejpam-3403	542	3	of	of	ADP
ejpam-3403	542	4	mathematics	mathematics	PROPN
ejpam-3403	542	5	and	and	CCONJ
ejpam-3403	542	6	mathematical	mathematical	ADJ
ejpam-3403	542	7	sciences	science	NOUN
ejpam-3403	542	8	,	,	PUNCT
ejpam-3403	542	9	2003(61):3893	2003(61):3893	NUM
ejpam-3403	542	10	–	–	PUNCT
ejpam-3403	542	11	3901	3901	NUM
ejpam-3403	542	12	,	,	PUNCT
ejpam-3403	542	13	2003	2003	NUM
ejpam-3403	542	14	.	.	PUNCT
ejpam-3403	543	1	[	[	X
ejpam-3403	543	2	11	11	NUM
ejpam-3403	543	3	]	]	X
ejpam-3403	543	4	m.a	m.a	PROPN
ejpam-3403	543	5	.	.	PROPN
ejpam-3403	543	6	pathan	pathan	PROPN
ejpam-3403	543	7	and	and	CCONJ
ejpam-3403	543	8	w.a	w.a	PROPN
ejpam-3403	543	9	.	.	PROPN
ejpam-3403	543	10	khan	khan	PROPN
ejpam-3403	543	11	.	.	PUNCT
ejpam-3403	544	1	a	a	DET
ejpam-3403	544	2	new	new	ADJ
ejpam-3403	544	3	class	class	NOUN
ejpam-3403	544	4	of	of	ADP
ejpam-3403	544	5	generalized	generalized	ADJ
ejpam-3403	544	6	polynomials	polynomial	NOUN
ejpam-3403	544	7	associated	associate	VERB
ejpam-3403	544	8	with	with	ADP
ejpam-3403	544	9	hermite	hermite	PROPN
ejpam-3403	544	10	and	and	CCONJ
ejpam-3403	544	11	euler	euler	NOUN
ejpam-3403	544	12	polynomials	polynomial	NOUN
ejpam-3403	544	13	.	.	PUNCT
ejpam-3403	545	1	mediterranean	mediterranean	PROPN
ejpam-3403	545	2	journal	journal	PROPN
ejpam-3403	545	3	of	of	ADP
ejpam-3403	545	4	mathematics	mathematics	PROPN
ejpam-3403	545	5	,	,	PUNCT
ejpam-3403	545	6	13(3):913–928	13(3):913–928	PROPN
ejpam-3403	545	7	,	,	PUNCT
ejpam-3403	545	8	2016	2016	NUM
ejpam-3403	545	9	.	.	PUNCT
ejpam-3403	546	1	references	reference	NOUN
ejpam-3403	546	2	621	621	NUM
ejpam-3403	546	3	[	[	X
ejpam-3403	546	4	12	12	NUM
ejpam-3403	546	5	]	]	X
ejpam-3403	546	6	h.m	h.m	PROPN
ejpam-3403	546	7	.	.	PROPN
ejpam-3403	546	8	srivastava	srivastava	PROPN
ejpam-3403	546	9	.	.	PUNCT
ejpam-3403	547	1	some	some	DET
ejpam-3403	547	2	generalizations	generalization	NOUN
ejpam-3403	547	3	and	and	CCONJ
ejpam-3403	547	4	basic	basic	ADJ
ejpam-3403	547	5	(	(	PUNCT
ejpam-3403	547	6	or	or	CCONJ
ejpam-3403	547	7	q-	q-	NOUN
ejpam-3403	547	8	)	)	PUNCT
ejpam-3403	547	9	extensions	extension	NOUN
ejpam-3403	547	10	of	of	ADP
ejpam-3403	547	11	the	the	DET
ejpam-3403	547	12	bernoulli	bernoulli	PROPN
ejpam-3403	547	13	,	,	PUNCT
ejpam-3403	547	14	euler	euler	VERB
ejpam-3403	547	15	and	and	CCONJ
ejpam-3403	547	16	genocchi	genocchi	PROPN
ejpam-3403	547	17	polynomials	polynomial	NOUN
ejpam-3403	547	18	.	.	PUNCT
ejpam-3403	548	1	applied	apply	VERB
ejpam-3403	548	2	mathematics	mathematic	NOUN
ejpam-3403	548	3	and	and	CCONJ
ejpam-3403	548	4	information	information	NOUN
ejpam-3403	548	5	sciences	science	NOUN
ejpam-3403	548	6	,	,	PUNCT
ejpam-3403	548	7	5(3):390–444	5(3):390–444	NOUN
ejpam-3403	548	8	,	,	PUNCT
ejpam-3403	548	9	2010	2010	NUM
ejpam-3403	548	10	.	.	PUNCT
ejpam-3403	549	1	[	[	X
ejpam-3403	549	2	13	13	NUM
ejpam-3403	549	3	]	]	X
ejpam-3403	549	4	p.	p.	NOUN
ejpam-3403	549	5	sun	sun	PROPN
ejpam-3403	549	6	.	.	PUNCT
ejpam-3403	550	1	moment	moment	PROPN
ejpam-3403	550	2	representation	representation	NOUN
ejpam-3403	550	3	of	of	ADP
ejpam-3403	550	4	bernoulli	bernoulli	PROPN
ejpam-3403	550	5	polynomial	polynomial	ADJ
ejpam-3403	550	6	,	,	PUNCT
ejpam-3403	550	7	euler	euler	NOUN
ejpam-3403	550	8	polynomial	polynomial	ADJ
ejpam-3403	550	9	and	and	CCONJ
ejpam-3403	550	10	gegenbauer	gegenbauer	NOUN
ejpam-3403	550	11	polynomials	polynomial	NOUN
ejpam-3403	550	12	.	.	PUNCT
ejpam-3403	551	1	statistics	statistic	NOUN
ejpam-3403	551	2	and	and	CCONJ
ejpam-3403	551	3	probability	probability	NOUN
ejpam-3403	551	4	letters	letter	NOUN
ejpam-3403	551	5	,	,	PUNCT
ejpam-3403	551	6	77:748–751	77:748–751	NUM
ejpam-3403	551	7	,	,	PUNCT
ejpam-3403	551	8	2007	2007	NUM
ejpam-3403	551	9	.	.	PUNCT
ejpam-3403	552	1	[	[	X
ejpam-3403	552	2	14	14	NUM
ejpam-3403	552	3	]	]	X
ejpam-3403	552	4	p.	p.	NOUN
ejpam-3403	552	5	sun	sun	NOUN
ejpam-3403	552	6	and	and	CCONJ
ejpam-3403	552	7	t.	t.	PROPN
ejpam-3403	552	8	wang	wang	PROPN
ejpam-3403	552	9	.	.	PUNCT
ejpam-3403	553	1	probabilistic	probabilistic	ADJ
ejpam-3403	553	2	representation	representation	NOUN
ejpam-3403	553	3	with	with	ADP
ejpam-3403	553	4	application	application	NOUN
ejpam-3403	553	5	of	of	ADP
ejpam-3403	553	6	stirling	stirling	NOUN
ejpam-3403	553	7	numbers	number	NOUN
ejpam-3403	553	8	.	.	PUNCT
ejpam-3403	554	1	acta	acta	PROPN
ejpam-3403	554	2	mathematica	mathematica	PROPN
ejpam-3403	554	3	sinica	sinica	PROPN
ejpam-3403	554	4	chinese	chinese	PROPN
ejpam-3403	554	5	series	series	PROPN
ejpam-3403	554	6	,	,	PUNCT
ejpam-3403	554	7	41(2):281–290	41(2):281–290	PROPN
ejpam-3403	554	8	,	,	PUNCT
ejpam-3403	554	9	1998	1998	NUM
ejpam-3403	554	10	.	.	PUNCT
ejpam-3403	555	1	[	[	X
ejpam-3403	555	2	15	15	NUM
ejpam-3403	555	3	]	]	X
ejpam-3403	555	4	h.s	h.s	PROPN
ejpam-3403	555	5	.	.	PROPN
ejpam-3403	555	6	wilf	wilf	PROPN
ejpam-3403	555	7	.	.	PUNCT
ejpam-3403	556	1	generating	generate	VERB
ejpam-3403	556	2	functionology	functionology	NOUN
ejpam-3403	556	3	.	.	PUNCT
ejpam-3403	557	1	academic	academic	ADJ
ejpam-3403	557	2	press	press	NOUN
ejpam-3403	557	3	,	,	PUNCT
ejpam-3403	557	4	new	new	PROPN
ejpam-3403	557	5	york	york	PROPN
ejpam-3403	557	6	,	,	PUNCT
ejpam-3403	557	7	1990	1990	NUM
ejpam-3403	557	8	.	.	PUNCT