id	sid	tid	token	lemma	pos
ejpam-3757	1	1	european	european	PROPN
ejpam-3757	1	2	journal	journal	PROPN
ejpam-3757	1	3	of	of	ADP
ejpam-3757	1	4	pure	pure	ADJ
ejpam-3757	1	5	and	and	CCONJ
ejpam-3757	1	6	applied	apply	VERB
ejpam-3757	1	7	mathematics	mathematic	NOUN
ejpam-3757	1	8	vol	vol	NOUN
ejpam-3757	1	9	.	.	PROPN
ejpam-3757	2	1	13	13	NUM
ejpam-3757	2	2	,	,	PUNCT
ejpam-3757	2	3	no	no	INTJ
ejpam-3757	2	4	.	.	NOUN
ejpam-3757	2	5	3	3	NUM
ejpam-3757	2	6	,	,	PUNCT
ejpam-3757	2	7	2020	2020	NUM
ejpam-3757	2	8	,	,	PUNCT
ejpam-3757	2	9	587	587	NUM
ejpam-3757	2	10	-	-	SYM
ejpam-3757	2	11	607	607	NUM
ejpam-3757	2	12	issn	issn	PROPN
ejpam-3757	2	13	1307	1307	NUM
ejpam-3757	2	14	-	-	SYM
ejpam-3757	2	15	5543	5543	NUM
ejpam-3757	2	16	–	–	PUNCT
ejpam-3757	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3757	2	18	published	publish	VERB
ejpam-3757	2	19	by	by	ADP
ejpam-3757	2	20	new	new	PROPN
ejpam-3757	2	21	york	york	PROPN
ejpam-3757	2	22	business	business	PROPN
ejpam-3757	2	23	global	global	PROPN
ejpam-3757	2	24	a	a	DET
ejpam-3757	2	25	unification	unification	NOUN
ejpam-3757	2	26	of	of	ADP
ejpam-3757	2	27	the	the	DET
ejpam-3757	2	28	generalized	generalized	ADJ
ejpam-3757	2	29	multiparameter	multiparameter	NOUN
ejpam-3757	2	30	apostol	apostol	NOUN
ejpam-3757	2	31	-	-	PUNCT
ejpam-3757	2	32	type	type	NOUN
ejpam-3757	2	33	bernoulli	bernoulli	PROPN
ejpam-3757	2	34	,	,	PUNCT
ejpam-3757	2	35	euler	euler	NOUN
ejpam-3757	2	36	,	,	PUNCT
ejpam-3757	2	37	fubini	fubini	NOUN
ejpam-3757	2	38	,	,	PUNCT
ejpam-3757	2	39	and	and	CCONJ
ejpam-3757	2	40	genocchi	genocchi	PROPN
ejpam-3757	2	41	polynomials	polynomial	NOUN
ejpam-3757	2	42	of	of	ADP
ejpam-3757	2	43	higher	high	ADJ
ejpam-3757	2	44	order	order	NOUN
ejpam-3757	2	45	nestor	nestor	PROPN
ejpam-3757	2	46	g.	g.	PROPN
ejpam-3757	2	47	acala	acala	PROPN
ejpam-3757	2	48	mathematics	mathematics	PROPN
ejpam-3757	2	49	department	department	PROPN
ejpam-3757	2	50	,	,	PUNCT
ejpam-3757	2	51	college	college	NOUN
ejpam-3757	2	52	of	of	ADP
ejpam-3757	2	53	natural	natural	ADJ
ejpam-3757	2	54	sciences	science	NOUN
ejpam-3757	2	55	and	and	CCONJ
ejpam-3757	2	56	mathematics	mathematic	NOUN
ejpam-3757	2	57	,	,	PUNCT
ejpam-3757	2	58	mindanao	mindanao	PROPN
ejpam-3757	2	59	state	state	PROPN
ejpam-3757	2	60	university	university	PROPN
ejpam-3757	2	61	,	,	PUNCT
ejpam-3757	2	62	marawi	marawi	PROPN
ejpam-3757	2	63	city	city	PROPN
ejpam-3757	2	64	,	,	PUNCT
ejpam-3757	2	65	lanao	lanao	PROPN
ejpam-3757	2	66	del	del	PROPN
ejpam-3757	2	67	sur	sur	PROPN
ejpam-3757	2	68	,	,	PUNCT
ejpam-3757	2	69	philippines	philippine	NOUN
ejpam-3757	2	70	abstract	abstract	ADJ
ejpam-3757	2	71	.	.	PUNCT
ejpam-3757	3	1	most	most	ADJ
ejpam-3757	3	2	unifications	unification	NOUN
ejpam-3757	3	3	of	of	ADP
ejpam-3757	3	4	the	the	DET
ejpam-3757	3	5	classical	classical	ADJ
ejpam-3757	3	6	or	or	CCONJ
ejpam-3757	3	7	generalized	generalized	ADJ
ejpam-3757	3	8	bernoulli	bernoulli	PROPN
ejpam-3757	3	9	,	,	PUNCT
ejpam-3757	3	10	euler	euler	NOUN
ejpam-3757	3	11	,	,	PUNCT
ejpam-3757	3	12	and	and	CCONJ
ejpam-3757	3	13	genocchi	genocchi	PROPN
ejpam-3757	3	14	polynomials	polynomial	NOUN
ejpam-3757	3	15	involve	involve	VERB
ejpam-3757	3	16	unifying	unify	VERB
ejpam-3757	3	17	any	any	DET
ejpam-3757	3	18	two	two	NUM
ejpam-3757	3	19	or	or	CCONJ
ejpam-3757	3	20	all	all	PRON
ejpam-3757	3	21	of	of	ADP
ejpam-3757	3	22	the	the	DET
ejpam-3757	3	23	three	three	NUM
ejpam-3757	3	24	special	special	ADJ
ejpam-3757	3	25	types	type	NOUN
ejpam-3757	3	26	of	of	ADP
ejpam-3757	3	27	polynomials	polynomial	NOUN
ejpam-3757	3	28	(	(	PUNCT
ejpam-3757	3	29	see	see	VERB
ejpam-3757	3	30	,	,	PUNCT
ejpam-3757	3	31	[	[	X
ejpam-3757	3	32	1	1	NUM
ejpam-3757	3	33	,	,	PUNCT
ejpam-3757	3	34	4	4	NUM
ejpam-3757	3	35	,	,	PUNCT
ejpam-3757	3	36	9	9	NUM
ejpam-3757	3	37	,	,	PUNCT
ejpam-3757	3	38	18	18	NUM
ejpam-3757	3	39	,	,	PUNCT
ejpam-3757	3	40	19	19	NUM
ejpam-3757	3	41	,	,	PUNCT
ejpam-3757	3	42	21	21	NUM
ejpam-3757	3	43	,	,	PUNCT
ejpam-3757	3	44	24–26	24–26	NUM
ejpam-3757	3	45	,	,	PUNCT
ejpam-3757	3	46	30	30	NUM
ejpam-3757	3	47	,	,	PUNCT
ejpam-3757	3	48	31	31	NUM
ejpam-3757	3	49	]	]	PUNCT
ejpam-3757	3	50	)	)	PUNCT
ejpam-3757	3	51	.	.	PUNCT
ejpam-3757	4	1	in	in	ADP
ejpam-3757	4	2	this	this	DET
ejpam-3757	4	3	paper	paper	NOUN
ejpam-3757	4	4	,	,	PUNCT
ejpam-3757	4	5	we	we	PRON
ejpam-3757	4	6	introduce	introduce	VERB
ejpam-3757	4	7	a	a	DET
ejpam-3757	4	8	new	new	ADJ
ejpam-3757	4	9	class	class	NOUN
ejpam-3757	4	10	of	of	ADP
ejpam-3757	4	11	multiparameter	multiparameter	NOUN
ejpam-3757	4	12	fubini	fubini	ADJ
ejpam-3757	4	13	-	-	PUNCT
ejpam-3757	4	14	type	type	NOUN
ejpam-3757	4	15	generalized	generalized	ADJ
ejpam-3757	4	16	polynomials	polynomial	NOUN
ejpam-3757	4	17	that	that	PRON
ejpam-3757	4	18	unifies	unify	VERB
ejpam-3757	4	19	four	four	NUM
ejpam-3757	4	20	families	family	NOUN
ejpam-3757	4	21	of	of	ADP
ejpam-3757	4	22	higher	high	ADJ
ejpam-3757	4	23	order	order	NOUN
ejpam-3757	4	24	generalized	generalize	VERB
ejpam-3757	4	25	apostol	apostol	NOUN
ejpam-3757	4	26	-	-	PUNCT
ejpam-3757	4	27	type	type	NOUN
ejpam-3757	4	28	polynomials	polynomial	NOUN
ejpam-3757	4	29	such	such	ADJ
ejpam-3757	4	30	as	as	ADP
ejpam-3757	4	31	the	the	DET
ejpam-3757	4	32	apostol	apostol	NOUN
ejpam-3757	4	33	-	-	PUNCT
ejpam-3757	4	34	bernoulli	bernoulli	NOUN
ejpam-3757	4	35	,	,	PUNCT
ejpam-3757	4	36	apostol	apostol	NOUN
ejpam-3757	4	37	-	-	PUNCT
ejpam-3757	4	38	euler	euler	NOUN
ejpam-3757	4	39	,	,	PUNCT
ejpam-3757	4	40	apostol	apostol	NOUN
ejpam-3757	4	41	-	-	PUNCT
ejpam-3757	4	42	genocchi	genocchi	NOUN
ejpam-3757	4	43	,	,	PUNCT
ejpam-3757	4	44	and	and	CCONJ
ejpam-3757	4	45	apostol	apostol	NOUN
ejpam-3757	4	46	-	-	PUNCT
ejpam-3757	4	47	fubini	fubini	ADJ
ejpam-3757	4	48	polynomials	polynomial	NOUN
ejpam-3757	4	49	.	.	PUNCT
ejpam-3757	5	1	moreover	moreover	ADV
ejpam-3757	5	2	,	,	PUNCT
ejpam-3757	5	3	we	we	PRON
ejpam-3757	5	4	obtain	obtain	VERB
ejpam-3757	5	5	an	an	DET
ejpam-3757	5	6	explicit	explicit	ADJ
ejpam-3757	5	7	formula	formula	NOUN
ejpam-3757	5	8	of	of	ADP
ejpam-3757	5	9	these	these	DET
ejpam-3757	5	10	unified	unified	ADJ
ejpam-3757	5	11	generalized	generalized	ADJ
ejpam-3757	5	12	polynomials	polynomial	NOUN
ejpam-3757	5	13	in	in	ADP
ejpam-3757	5	14	terms	term	NOUN
ejpam-3757	5	15	of	of	ADP
ejpam-3757	5	16	the	the	DET
ejpam-3757	5	17	gaussian	gaussian	ADJ
ejpam-3757	5	18	hypergeometric	hypergeometric	ADJ
ejpam-3757	5	19	function	function	NOUN
ejpam-3757	5	20	,	,	PUNCT
ejpam-3757	5	21	and	and	CCONJ
ejpam-3757	5	22	establish	establish	VERB
ejpam-3757	5	23	several	several	ADJ
ejpam-3757	5	24	symmetry	symmetry	NOUN
ejpam-3757	5	25	identities	identity	NOUN
ejpam-3757	5	26	.	.	PUNCT
ejpam-3757	6	1	2020	2020	NUM
ejpam-3757	6	2	mathematics	mathematic	NOUN
ejpam-3757	6	3	subject	subject	NOUN
ejpam-3757	6	4	classifications	classification	NOUN
ejpam-3757	6	5	:	:	PUNCT
ejpam-3757	6	6	11b68	11b68	NUM
ejpam-3757	6	7	,	,	PUNCT
ejpam-3757	6	8	11b73	11b73	NUM
ejpam-3757	6	9	,	,	PUNCT
ejpam-3757	6	10	33c05	33c05	NUM
ejpam-3757	6	11	,	,	PUNCT
ejpam-3757	6	12	05a10	05a10	NUM
ejpam-3757	6	13	,	,	PUNCT
ejpam-3757	6	14	11b83	11b83	NUM
ejpam-3757	6	15	key	key	ADJ
ejpam-3757	6	16	words	word	NOUN
ejpam-3757	6	17	and	and	CCONJ
ejpam-3757	6	18	phrases	phrase	NOUN
ejpam-3757	6	19	:	:	PUNCT
ejpam-3757	6	20	fubini	fubini	ADJ
ejpam-3757	6	21	polynomials	polynomial	NOUN
ejpam-3757	6	22	,	,	PUNCT
ejpam-3757	6	23	bernoulli	bernoulli	NOUN
ejpam-3757	6	24	polynomials	polynomial	NOUN
ejpam-3757	6	25	,	,	PUNCT
ejpam-3757	6	26	euler	euler	NOUN
ejpam-3757	6	27	polynomials	polynomial	NOUN
ejpam-3757	6	28	,	,	PUNCT
ejpam-3757	6	29	genocchi	genocchi	PROPN
ejpam-3757	6	30	polynomials	polynomial	NOUN
ejpam-3757	6	31	,	,	PUNCT
ejpam-3757	6	32	apostol	apostol	NOUN
ejpam-3757	6	33	-	-	PUNCT
ejpam-3757	6	34	type	type	NOUN
ejpam-3757	6	35	polynomials	polynomial	NOUN
ejpam-3757	6	36	,	,	PUNCT
ejpam-3757	6	37	ordered	order	VERB
ejpam-3757	6	38	bell	bell	NOUN
ejpam-3757	6	39	polynomials	polynomial	NOUN
ejpam-3757	6	40	,	,	PUNCT
ejpam-3757	6	41	gauss	gauss	ADJ
ejpam-3757	6	42	hypergeometric	hypergeometric	ADJ
ejpam-3757	6	43	function	function	NOUN
ejpam-3757	6	44	,	,	PUNCT
ejpam-3757	6	45	generalized	generalize	VERB
ejpam-3757	6	46	bernoulli	bernoulli	NOUN
ejpam-3757	6	47	polynomials	polynomial	NOUN
ejpam-3757	6	48	,	,	PUNCT
ejpam-3757	6	49	generalized	generalized	ADJ
ejpam-3757	6	50	euler	euler	NOUN
ejpam-3757	6	51	polynomials	polynomial	NOUN
ejpam-3757	6	52	,	,	PUNCT
ejpam-3757	6	53	generalized	generalize	VERB
ejpam-3757	6	54	genocchi	genocchi	NOUN
ejpam-3757	6	55	polynomials	polynomial	NOUN
ejpam-3757	6	56	,	,	PUNCT
ejpam-3757	6	57	generalized	generalized	ADJ
ejpam-3757	6	58	fubini	fubini	ADJ
ejpam-3757	6	59	polynomials	polynomial	NOUN
ejpam-3757	6	60	1	1	NUM
ejpam-3757	6	61	.	.	PUNCT
ejpam-3757	7	1	introduction	introduction	NOUN
ejpam-3757	7	2	in	in	ADP
ejpam-3757	7	3	recent	recent	ADJ
ejpam-3757	7	4	years	year	NOUN
ejpam-3757	7	5	,	,	PUNCT
ejpam-3757	7	6	extensive	extensive	ADJ
ejpam-3757	7	7	researches	research	NOUN
ejpam-3757	7	8	on	on	ADP
ejpam-3757	7	9	various	various	ADJ
ejpam-3757	7	10	families	family	NOUN
ejpam-3757	7	11	of	of	ADP
ejpam-3757	7	12	numbers	number	NOUN
ejpam-3757	7	13	and	and	CCONJ
ejpam-3757	7	14	polynomials	polynomial	NOUN
ejpam-3757	7	15	such	such	ADJ
ejpam-3757	7	16	as	as	ADP
ejpam-3757	7	17	the	the	DET
ejpam-3757	7	18	bernoulli	bernoulli	NOUN
ejpam-3757	7	19	numbers	number	NOUN
ejpam-3757	7	20	and	and	CCONJ
ejpam-3757	7	21	polynomials	polynomial	NOUN
ejpam-3757	7	22	,	,	PUNCT
ejpam-3757	7	23	euler	euler	NOUN
ejpam-3757	7	24	numbers	number	NOUN
ejpam-3757	7	25	and	and	CCONJ
ejpam-3757	7	26	polynomials	polynomial	NOUN
ejpam-3757	7	27	,	,	PUNCT
ejpam-3757	7	28	genocchi	genocchi	NOUN
ejpam-3757	7	29	numbers	number	NOUN
ejpam-3757	7	30	and	and	CCONJ
ejpam-3757	7	31	polynomials	polynomial	NOUN
ejpam-3757	7	32	,	,	PUNCT
ejpam-3757	7	33	fubini	fubini	ADJ
ejpam-3757	7	34	numbers	number	NOUN
ejpam-3757	7	35	and	and	CCONJ
ejpam-3757	7	36	polynomials	polynomial	NOUN
ejpam-3757	7	37	,	,	PUNCT
ejpam-3757	7	38	and	and	CCONJ
ejpam-3757	7	39	also	also	ADV
ejpam-3757	7	40	their	their	PRON
ejpam-3757	7	41	generalizations	generalization	NOUN
ejpam-3757	7	42	and	and	CCONJ
ejpam-3757	7	43	unifications	unification	NOUN
ejpam-3757	7	44	(	(	PUNCT
ejpam-3757	7	45	see	see	VERB
ejpam-3757	7	46	,	,	PUNCT
ejpam-3757	7	47	for	for	ADP
ejpam-3757	7	48	instance	instance	NOUN
ejpam-3757	7	49	the	the	DET
ejpam-3757	7	50	recent	recent	ADJ
ejpam-3757	7	51	works	work	NOUN
ejpam-3757	7	52	of	of	ADP
ejpam-3757	7	53	[	[	X
ejpam-3757	7	54	1	1	NUM
ejpam-3757	7	55	,	,	PUNCT
ejpam-3757	7	56	3	3	NUM
ejpam-3757	7	57	,	,	PUNCT
ejpam-3757	7	58	4	4	NUM
ejpam-3757	7	59	,	,	PUNCT
ejpam-3757	7	60	10	10	NUM
ejpam-3757	7	61	,	,	PUNCT
ejpam-3757	7	62	11	11	NUM
ejpam-3757	7	63	,	,	PUNCT
ejpam-3757	7	64	17	17	NUM
ejpam-3757	7	65	,	,	PUNCT
ejpam-3757	7	66	25	25	NUM
ejpam-3757	7	67	,	,	PUNCT
ejpam-3757	7	68	26	26	NUM
ejpam-3757	7	69	,	,	PUNCT
ejpam-3757	7	70	28	28	NUM
ejpam-3757	7	71	,	,	PUNCT
ejpam-3757	7	72	31	31	NUM
ejpam-3757	7	73	]	]	PUNCT
ejpam-3757	7	74	)	)	PUNCT
ejpam-3757	7	75	have	have	AUX
ejpam-3757	7	76	become	become	VERB
ejpam-3757	7	77	popular	popular	ADJ
ejpam-3757	7	78	due	due	ADP
ejpam-3757	7	79	to	to	ADP
ejpam-3757	7	80	the	the	DET
ejpam-3757	7	81	abundance	abundance	NOUN
ejpam-3757	7	82	of	of	ADP
ejpam-3757	7	83	their	their	PRON
ejpam-3757	7	84	applications	application	NOUN
ejpam-3757	7	85	in	in	ADP
ejpam-3757	7	86	many	many	ADJ
ejpam-3757	7	87	branches	branch	NOUN
ejpam-3757	7	88	of	of	ADP
ejpam-3757	7	89	mathematics	mathematic	NOUN
ejpam-3757	7	90	such	such	ADJ
ejpam-3757	7	91	as	as	ADP
ejpam-3757	7	92	in	in	ADP
ejpam-3757	7	93	p	p	NOUN
ejpam-3757	7	94	-	-	PUNCT
ejpam-3757	7	95	adic	adic	ADJ
ejpam-3757	7	96	analytic	analytic	ADJ
ejpam-3757	7	97	number	number	NOUN
ejpam-3757	7	98	theory	theory	NOUN
ejpam-3757	7	99	,	,	PUNCT
ejpam-3757	7	100	umbral	umbral	ADJ
ejpam-3757	7	101	calculus	calculus	NOUN
ejpam-3757	7	102	,	,	PUNCT
ejpam-3757	7	103	special	special	ADJ
ejpam-3757	7	104	functions	function	NOUN
ejpam-3757	7	105	and	and	CCONJ
ejpam-3757	7	106	mathematical	mathematical	ADJ
ejpam-3757	7	107	analysis	analysis	NOUN
ejpam-3757	7	108	,	,	PUNCT
ejpam-3757	7	109	numerical	numerical	ADJ
ejpam-3757	7	110	analysis	analysis	NOUN
ejpam-3757	7	111	,	,	PUNCT
ejpam-3757	7	112	combinatorics	combinatoric	NOUN
ejpam-3757	7	113	and	and	CCONJ
ejpam-3757	7	114	other	other	ADJ
ejpam-3757	7	115	related	related	ADJ
ejpam-3757	7	116	fields	field	NOUN
ejpam-3757	7	117	.	.	PUNCT
ejpam-3757	8	1	this	this	PRON
ejpam-3757	8	2	motivates	motivate	VERB
ejpam-3757	8	3	the	the	DET
ejpam-3757	8	4	author	author	NOUN
ejpam-3757	8	5	to	to	PART
ejpam-3757	8	6	obtain	obtain	VERB
ejpam-3757	8	7	and	and	CCONJ
ejpam-3757	8	8	explore	explore	VERB
ejpam-3757	8	9	a	a	DET
ejpam-3757	8	10	new	new	ADJ
ejpam-3757	8	11	unification	unification	NOUN
ejpam-3757	8	12	of	of	ADP
ejpam-3757	8	13	some	some	PRON
ejpam-3757	8	14	of	of	ADP
ejpam-3757	8	15	the	the	DET
ejpam-3757	8	16	recent	recent	ADJ
ejpam-3757	8	17	generalizations	generalization	NOUN
ejpam-3757	8	18	of	of	ADP
ejpam-3757	8	19	these	these	DET
ejpam-3757	8	20	special	special	ADJ
ejpam-3757	8	21	types	type	NOUN
ejpam-3757	8	22	of	of	ADP
ejpam-3757	8	23	polynomials	polynomial	NOUN
ejpam-3757	8	24	.	.	PUNCT
ejpam-3757	9	1	in	in	ADP
ejpam-3757	9	2	this	this	DET
ejpam-3757	9	3	section	section	NOUN
ejpam-3757	9	4	,	,	PUNCT
ejpam-3757	9	5	we	we	PRON
ejpam-3757	9	6	present	present	VERB
ejpam-3757	9	7	some	some	PRON
ejpam-3757	9	8	of	of	ADP
ejpam-3757	9	9	the	the	DET
ejpam-3757	9	10	known	know	VERB
ejpam-3757	9	11	generalizations	generalization	NOUN
ejpam-3757	9	12	of	of	ADP
ejpam-3757	9	13	bernoulli	bernoulli	PROPN
ejpam-3757	9	14	,	,	PUNCT
ejpam-3757	9	15	euler	euler	PROPN
ejpam-3757	9	16	,	,	PUNCT
ejpam-3757	9	17	genocchi	genocchi	NOUN
ejpam-3757	9	18	,	,	PUNCT
ejpam-3757	9	19	and	and	CCONJ
ejpam-3757	9	20	fubini	fubini	ADJ
ejpam-3757	9	21	polynomials	polynomial	NOUN
ejpam-3757	9	22	of	of	ADP
ejpam-3757	9	23	higher	high	ADJ
ejpam-3757	9	24	order	order	NOUN
ejpam-3757	9	25	.	.	PUNCT
ejpam-3757	10	1	throughout	throughout	ADP
ejpam-3757	10	2	this	this	DET
ejpam-3757	10	3	paper	paper	NOUN
ejpam-3757	10	4	,	,	PUNCT
ejpam-3757	10	5	we	we	PRON
ejpam-3757	10	6	use	use	VERB
ejpam-3757	10	7	the	the	DET
ejpam-3757	10	8	doi	doi	NOUN
ejpam-3757	10	9	:	:	PUNCT
ejpam-3757	10	10	https://doi.org/10.29020/nybg.ejpam.v13i3.3757	https://doi.org/10.29020/nybg.ejpam.v13i3.3757	PRON
ejpam-3757	10	11	email	email	NOUN
ejpam-3757	10	12	address	address	NOUN
ejpam-3757	10	13	:	:	PUNCT
ejpam-3757	10	14	nestor.acala@gmail.com	nestor.acala@gmail.com	PROPN
ejpam-3757	10	15	(	(	PUNCT
ejpam-3757	10	16	n.	n.	PROPN
ejpam-3757	10	17	g.	g.	PROPN
ejpam-3757	10	18	acala	acala	PROPN
ejpam-3757	10	19	)	)	PUNCT
ejpam-3757	10	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3757	11	1	587	587	NUM
ejpam-3757	12	1	c	c	NOUN
ejpam-3757	12	2	©	©	NOUN
ejpam-3757	12	3	2020	2020	NUM
ejpam-3757	12	4	ejpam	ejpam	VERB
ejpam-3757	12	5	all	all	DET
ejpam-3757	12	6	rights	right	NOUN
ejpam-3757	12	7	reserved	reserve	VERB
ejpam-3757	12	8	.	.	PUNCT
ejpam-3757	13	1	n.	n.	PROPN
ejpam-3757	13	2	g.	g.	PROPN
ejpam-3757	13	3	acala	acala	PROPN
ejpam-3757	13	4	/	/	SYM
ejpam-3757	13	5	eur	eur	PROPN
ejpam-3757	13	6	.	.	PUNCT
ejpam-3757	14	1	j.	j.	PROPN
ejpam-3757	14	2	pure	pure	PROPN
ejpam-3757	14	3	appl	appl	PROPN
ejpam-3757	14	4	.	.	PROPN
ejpam-3757	14	5	math	math	PROPN
ejpam-3757	14	6	,	,	PUNCT
ejpam-3757	14	7	13	13	NUM
ejpam-3757	14	8	(	(	PUNCT
ejpam-3757	14	9	3	3	NUM
ejpam-3757	14	10	)	)	PUNCT
ejpam-3757	14	11	(	(	PUNCT
ejpam-3757	14	12	2020	2020	NUM
ejpam-3757	14	13	)	)	PUNCT
ejpam-3757	14	14	,	,	PUNCT
ejpam-3757	14	15	587	587	NUM
ejpam-3757	14	16	-	-	SYM
ejpam-3757	14	17	607	607	NUM
ejpam-3757	14	18	588	588	NUM
ejpam-3757	14	19	usual	usual	ADJ
ejpam-3757	14	20	notations	notation	NOUN
ejpam-3757	14	21	n	n	CCONJ
ejpam-3757	14	22	,	,	PUNCT
ejpam-3757	14	23	z	z	NOUN
ejpam-3757	14	24	,	,	PUNCT
ejpam-3757	14	25	r	r	NOUN
ejpam-3757	14	26	,	,	PUNCT
ejpam-3757	14	27	and	and	CCONJ
ejpam-3757	14	28	c	c	X
ejpam-3757	14	29	for	for	ADP
ejpam-3757	14	30	the	the	DET
ejpam-3757	14	31	sets	set	NOUN
ejpam-3757	14	32	of	of	ADP
ejpam-3757	14	33	natural	natural	ADJ
ejpam-3757	14	34	numbers	number	NOUN
ejpam-3757	14	35	,	,	PUNCT
ejpam-3757	14	36	integers	integer	NOUN
ejpam-3757	14	37	,	,	PUNCT
ejpam-3757	14	38	real	real	ADJ
ejpam-3757	14	39	numbers	number	NOUN
ejpam-3757	14	40	,	,	PUNCT
ejpam-3757	14	41	and	and	CCONJ
ejpam-3757	14	42	complex	complex	ADJ
ejpam-3757	14	43	numbers	number	NOUN
ejpam-3757	14	44	respectively	respectively	ADV
ejpam-3757	14	45	.	.	PUNCT
ejpam-3757	15	1	also	also	ADV
ejpam-3757	15	2	,	,	PUNCT
ejpam-3757	15	3	we	we	PRON
ejpam-3757	15	4	let	let	VERB
ejpam-3757	15	5	n0	n0	ADJ
ejpam-3757	15	6	:	:	PUNCT
ejpam-3757	15	7	=	=	SYM
ejpam-3757	15	8	n	n	CCONJ
ejpam-3757	15	9	∪	∪	X
ejpam-3757	15	10	{	{	PUNCT
ejpam-3757	15	11	0	0	NUM
ejpam-3757	15	12	}	}	PUNCT
ejpam-3757	15	13	,	,	PUNCT
ejpam-3757	15	14	z−	z−	ADJ
ejpam-3757	15	15	:	:	PUNCT
ejpam-3757	15	16	=	=	PRON
ejpam-3757	15	17	{	{	PUNCT
ejpam-3757	15	18	−1,−2,−3	−1,−2,−3	PROPN
ejpam-3757	15	19	,	,	PUNCT
ejpam-3757	15	20	·	·	PUNCT
ejpam-3757	15	21	·	·	PUNCT
ejpam-3757	15	22	·	·	PUNCT
ejpam-3757	15	23	}	}	PUNCT
ejpam-3757	15	24	,	,	PUNCT
ejpam-3757	15	25	and	and	CCONJ
ejpam-3757	15	26	z−0	z−0	NUM
ejpam-3757	15	27	:	:	PUNCT
ejpam-3757	15	28	=	=	SYM
ejpam-3757	15	29	z−	z−	X
ejpam-3757	15	30	∪	∪	X
ejpam-3757	15	31	{	{	PUNCT
ejpam-3757	15	32	0	0	NUM
ejpam-3757	15	33	}	}	PUNCT
ejpam-3757	15	34	.	.	PUNCT
ejpam-3757	16	1	the	the	DET
ejpam-3757	16	2	bivariate	bivariate	ADJ
ejpam-3757	16	3	fubini	fubini	ADJ
ejpam-3757	16	4	polynomials	polynomial	NOUN
ejpam-3757	16	5	of	of	ADP
ejpam-3757	16	6	order	order	NOUN
ejpam-3757	16	7	α	α	NOUN
ejpam-3757	16	8	is	be	AUX
ejpam-3757	16	9	defined	define	VERB
ejpam-3757	16	10	through	through	ADP
ejpam-3757	16	11	the	the	DET
ejpam-3757	16	12	generating	generate	VERB
ejpam-3757	16	13	function	function	NOUN
ejpam-3757	16	14	ext	ext	NOUN
ejpam-3757	17	1	[	[	X
ejpam-3757	17	2	1−	1−	NUM
ejpam-3757	17	3	y(et	y(et	X
ejpam-3757	17	4	−	−	PROPN
ejpam-3757	17	5	1)]α	1)]α	NUM
ejpam-3757	17	6	=	=	PUNCT
ejpam-3757	18	1	∞∑	∞∑	NUM
ejpam-3757	18	2	n=0	n=0	NUM
ejpam-3757	18	3	f	f	X
ejpam-3757	18	4	(	(	PUNCT
ejpam-3757	18	5	α	α	NOUN
ejpam-3757	18	6	)	)	PUNCT
ejpam-3757	18	7	n	n	PROPN
ejpam-3757	18	8	(	(	PUNCT
ejpam-3757	18	9	x	x	NOUN
ejpam-3757	18	10	,	,	PUNCT
ejpam-3757	18	11	y	y	PROPN
ejpam-3757	18	12	)	)	PUNCT
ejpam-3757	18	13	tn	tn	PROPN
ejpam-3757	18	14	n	n	PROPN
ejpam-3757	18	15	!	!	PUNCT
ejpam-3757	19	1	(	(	PUNCT
ejpam-3757	19	2	see	see	VERB
ejpam-3757	19	3	[	[	X
ejpam-3757	19	4	12	12	NUM
ejpam-3757	19	5	,	,	PUNCT
ejpam-3757	19	6	13	13	NUM
ejpam-3757	19	7	,	,	PUNCT
ejpam-3757	19	8	15	15	NUM
ejpam-3757	19	9	,	,	PUNCT
ejpam-3757	19	10	17	17	NUM
ejpam-3757	19	11	]	]	PUNCT
ejpam-3757	19	12	)	)	PUNCT
ejpam-3757	19	13	.	.	PUNCT
ejpam-3757	20	1	(	(	PUNCT
ejpam-3757	20	2	1	1	X
ejpam-3757	20	3	)	)	PUNCT
ejpam-3757	20	4	when	when	SCONJ
ejpam-3757	20	5	α	α	NOUN
ejpam-3757	20	6	=	=	SYM
ejpam-3757	20	7	1	1	NUM
ejpam-3757	20	8	,	,	PUNCT
ejpam-3757	20	9	f	f	X
ejpam-3757	20	10	(	(	PUNCT
ejpam-3757	20	11	1	1	NUM
ejpam-3757	20	12	)	)	PUNCT
ejpam-3757	20	13	n	n	CCONJ
ejpam-3757	20	14	(	(	PUNCT
ejpam-3757	20	15	x	x	NOUN
ejpam-3757	20	16	,	,	PUNCT
ejpam-3757	20	17	y	y	PROPN
ejpam-3757	20	18	)	)	PUNCT
ejpam-3757	20	19	:	:	PUNCT
ejpam-3757	20	20	=	=	SYM
ejpam-3757	20	21	fn(x	fn(x	X
ejpam-3757	20	22	,	,	PUNCT
ejpam-3757	20	23	y	y	PROPN
ejpam-3757	20	24	)	)	PUNCT
ejpam-3757	20	25	,	,	PUNCT
ejpam-3757	20	26	the	the	DET
ejpam-3757	20	27	two	two	NUM
ejpam-3757	20	28	-	-	PUNCT
ejpam-3757	20	29	variable	variable	NOUN
ejpam-3757	20	30	fubini	fubini	ADJ
ejpam-3757	20	31	polynomials	polynomial	NOUN
ejpam-3757	20	32	given	give	VERB
ejpam-3757	20	33	by	by	ADP
ejpam-3757	20	34	ext	ext	NOUN
ejpam-3757	20	35	1−	1−	NUM
ejpam-3757	20	36	y(et	y(et	NOUN
ejpam-3757	20	37	−	−	PROPN
ejpam-3757	20	38	1	1	NUM
ejpam-3757	20	39	)	)	PUNCT
ejpam-3757	20	40	=	=	NOUN
ejpam-3757	21	1	∞∑	∞∑	NUM
ejpam-3757	21	2	n=0	n=0	NUM
ejpam-3757	21	3	fn(x	fn(x	X
ejpam-3757	21	4	,	,	PUNCT
ejpam-3757	21	5	y	y	NOUN
ejpam-3757	21	6	)	)	PUNCT
ejpam-3757	21	7	tn	tn	PROPN
ejpam-3757	21	8	n	n	PROPN
ejpam-3757	21	9	!	!	PUNCT
ejpam-3757	22	1	(	(	PUNCT
ejpam-3757	22	2	see	see	VERB
ejpam-3757	22	3	[	[	X
ejpam-3757	22	4	10	10	NUM
ejpam-3757	22	5	,	,	PUNCT
ejpam-3757	22	6	11	11	NUM
ejpam-3757	22	7	,	,	PUNCT
ejpam-3757	22	8	16	16	NUM
ejpam-3757	22	9	]	]	PUNCT
ejpam-3757	22	10	)	)	PUNCT
ejpam-3757	22	11	.	.	PUNCT
ejpam-3757	23	1	moreover	moreover	ADV
ejpam-3757	23	2	,	,	PUNCT
ejpam-3757	23	3	setting	set	VERB
ejpam-3757	23	4	x	x	PUNCT
ejpam-3757	23	5	=	=	SYM
ejpam-3757	23	6	0	0	NUM
ejpam-3757	23	7	in	in	ADP
ejpam-3757	23	8	(	(	PUNCT
ejpam-3757	23	9	1	1	NUM
ejpam-3757	23	10	)	)	PUNCT
ejpam-3757	23	11	,	,	PUNCT
ejpam-3757	23	12	we	we	PRON
ejpam-3757	23	13	obtain	obtain	VERB
ejpam-3757	23	14	fαn	fαn	NOUN
ejpam-3757	23	15	(	(	PUNCT
ejpam-3757	23	16	0	0	NUM
ejpam-3757	23	17	,	,	PUNCT
ejpam-3757	23	18	y	y	PROPN
ejpam-3757	23	19	)	)	PUNCT
ejpam-3757	23	20	:	:	PUNCT
ejpam-3757	24	1	=	=	SYM
ejpam-3757	24	2	f	f	X
ejpam-3757	24	3	(	(	PUNCT
ejpam-3757	24	4	α	α	NOUN
ejpam-3757	24	5	)	)	PUNCT
ejpam-3757	24	6	n	n	PROPN
ejpam-3757	24	7	(	(	PUNCT
ejpam-3757	24	8	y	y	NOUN
ejpam-3757	24	9	)	)	PUNCT
ejpam-3757	24	10	and	and	CCONJ
ejpam-3757	24	11	f	f	PROPN
ejpam-3757	24	12	(	(	PUNCT
ejpam-3757	24	13	α	α	NOUN
ejpam-3757	24	14	)	)	PUNCT
ejpam-3757	24	15	n	n	CCONJ
ejpam-3757	24	16	(	(	PUNCT
ejpam-3757	24	17	1	1	NUM
ejpam-3757	24	18	)	)	PUNCT
ejpam-3757	24	19	:	:	PUNCT
ejpam-3757	24	20	=	=	SYM
ejpam-3757	24	21	f	f	X
ejpam-3757	24	22	(	(	PUNCT
ejpam-3757	24	23	α	α	NOUN
ejpam-3757	24	24	)	)	PUNCT
ejpam-3757	24	25	n	n	NOUN
ejpam-3757	24	26	where	where	SCONJ
ejpam-3757	24	27	f	f	PROPN
ejpam-3757	24	28	(	(	PUNCT
ejpam-3757	24	29	α	α	NOUN
ejpam-3757	24	30	)	)	PUNCT
ejpam-3757	24	31	n	n	PROPN
ejpam-3757	24	32	(	(	PUNCT
ejpam-3757	24	33	y	y	NOUN
ejpam-3757	24	34	)	)	PUNCT
ejpam-3757	24	35	and	and	CCONJ
ejpam-3757	24	36	f	f	PROPN
ejpam-3757	24	37	(	(	PUNCT
ejpam-3757	24	38	α	α	NOUN
ejpam-3757	24	39	)	)	PUNCT
ejpam-3757	24	40	n	n	PRON
ejpam-3757	24	41	are	be	AUX
ejpam-3757	24	42	called	call	VERB
ejpam-3757	24	43	the	the	DET
ejpam-3757	24	44	higher	high	ADJ
ejpam-3757	24	45	order	order	NOUN
ejpam-3757	24	46	fubini	fubini	ADJ
ejpam-3757	24	47	polynomials	polynomial	NOUN
ejpam-3757	24	48	and	and	CCONJ
ejpam-3757	24	49	the	the	DET
ejpam-3757	24	50	higher	high	ADJ
ejpam-3757	24	51	order	order	NOUN
ejpam-3757	24	52	fubini	fubini	ADJ
ejpam-3757	24	53	numbers	number	NOUN
ejpam-3757	24	54	respectively	respectively	ADV
ejpam-3757	24	55	(	(	PUNCT
ejpam-3757	24	56	see	see	VERB
ejpam-3757	24	57	[	[	X
ejpam-3757	24	58	6	6	NUM
ejpam-3757	24	59	,	,	PUNCT
ejpam-3757	24	60	14	14	NUM
ejpam-3757	24	61	]	]	PUNCT
ejpam-3757	24	62	)	)	PUNCT
ejpam-3757	24	63	.	.	PUNCT
ejpam-3757	25	1	for	for	ADP
ejpam-3757	25	2	α	α	NOUN
ejpam-3757	25	3	=	=	SYM
ejpam-3757	25	4	1	1	NUM
ejpam-3757	25	5	f	f	NOUN
ejpam-3757	25	6	(	(	PUNCT
ejpam-3757	25	7	1	1	NUM
ejpam-3757	25	8	)	)	PUNCT
ejpam-3757	25	9	n	n	CCONJ
ejpam-3757	25	10	(	(	PUNCT
ejpam-3757	25	11	0	0	NUM
ejpam-3757	25	12	,	,	PUNCT
ejpam-3757	25	13	y	y	PROPN
ejpam-3757	25	14	)	)	PUNCT
ejpam-3757	25	15	:	:	PUNCT
ejpam-3757	25	16	=	=	PUNCT
ejpam-3757	25	17	fn(y	fn(y	X
ejpam-3757	25	18	)	)	PUNCT
ejpam-3757	25	19	and	and	CCONJ
ejpam-3757	25	20	f	f	PROPN
ejpam-3757	25	21	(	(	PUNCT
ejpam-3757	25	22	1	1	NUM
ejpam-3757	25	23	)	)	PUNCT
ejpam-3757	25	24	n	n	CCONJ
ejpam-3757	25	25	(	(	PUNCT
ejpam-3757	25	26	1	1	NUM
ejpam-3757	25	27	)	)	PUNCT
ejpam-3757	25	28	:	:	PUNCT
ejpam-3757	25	29	=	=	SYM
ejpam-3757	25	30	fn	fn	NOUN
ejpam-3757	25	31	,	,	PUNCT
ejpam-3757	25	32	where	where	SCONJ
ejpam-3757	25	33	fn(y	fn(y	X
ejpam-3757	25	34	)	)	PUNCT
ejpam-3757	25	35	are	be	AUX
ejpam-3757	25	36	the	the	DET
ejpam-3757	25	37	classical	classical	ADJ
ejpam-3757	25	38	fubini	fubini	ADJ
ejpam-3757	25	39	polynomials	polynomial	NOUN
ejpam-3757	25	40	or	or	CCONJ
ejpam-3757	25	41	the	the	DET
ejpam-3757	25	42	ordered	order	VERB
ejpam-3757	25	43	bell	bell	NOUN
ejpam-3757	25	44	polynomials	polynomial	NOUN
ejpam-3757	25	45	,	,	PUNCT
ejpam-3757	25	46	and	and	CCONJ
ejpam-3757	25	47	fn	fn	NOUN
ejpam-3757	25	48	are	be	AUX
ejpam-3757	25	49	the	the	DET
ejpam-3757	25	50	classical	classical	ADJ
ejpam-3757	25	51	fubini	fubini	ADJ
ejpam-3757	25	52	numbers	number	NOUN
ejpam-3757	25	53	or	or	CCONJ
ejpam-3757	25	54	the	the	DET
ejpam-3757	25	55	ordered	ordered	ADJ
ejpam-3757	25	56	bell	bell	NOUN
ejpam-3757	25	57	numbers	number	NOUN
ejpam-3757	25	58	(	(	PUNCT
ejpam-3757	25	59	see	see	VERB
ejpam-3757	25	60	[	[	X
ejpam-3757	25	61	2	2	NUM
ejpam-3757	25	62	,	,	PUNCT
ejpam-3757	25	63	27	27	NUM
ejpam-3757	25	64	]	]	NUM
ejpam-3757	25	65	)	)	PUNCT
ejpam-3757	25	66	.	.	PUNCT
ejpam-3757	26	1	the	the	DET
ejpam-3757	26	2	classical	classical	ADJ
ejpam-3757	26	3	bernoulli	bernoulli	NOUN
ejpam-3757	26	4	polynomials	polynomial	NOUN
ejpam-3757	26	5	bn(x	bn(x	NOUN
ejpam-3757	26	6	)	)	PUNCT
ejpam-3757	26	7	,	,	PUNCT
ejpam-3757	26	8	euler	euler	NOUN
ejpam-3757	26	9	polynomials	polynomial	NOUN
ejpam-3757	26	10	en(x	en(x	NOUN
ejpam-3757	26	11	)	)	PUNCT
ejpam-3757	26	12	,	,	PUNCT
ejpam-3757	26	13	and	and	CCONJ
ejpam-3757	26	14	genocchi	genocchi	PROPN
ejpam-3757	26	15	polynomials	polynomial	VERB
ejpam-3757	26	16	gn(x	gn(x	PUNCT
ejpam-3757	26	17	)	)	PUNCT
ejpam-3757	26	18	together	together	ADV
ejpam-3757	26	19	with	with	ADP
ejpam-3757	26	20	their	their	PRON
ejpam-3757	26	21	natural	natural	ADJ
ejpam-3757	26	22	higher	high	ADJ
ejpam-3757	26	23	order	order	NOUN
ejpam-3757	26	24	generalizations	generalization	NOUN
ejpam-3757	26	25	b	b	PROPN
ejpam-3757	26	26	(	(	PUNCT
ejpam-3757	26	27	α	α	NOUN
ejpam-3757	26	28	n	n	INTJ
ejpam-3757	26	29	(	(	PUNCT
ejpam-3757	26	30	x	x	NOUN
ejpam-3757	26	31	)	)	PUNCT
ejpam-3757	26	32	,	,	PUNCT
ejpam-3757	26	33	e	e	X
ejpam-3757	26	34	(	(	PUNCT
ejpam-3757	26	35	α	α	NOUN
ejpam-3757	26	36	n	n	INTJ
ejpam-3757	26	37	(	(	PUNCT
ejpam-3757	26	38	x	x	NOUN
ejpam-3757	26	39	)	)	PUNCT
ejpam-3757	26	40	,	,	PUNCT
ejpam-3757	26	41	and	and	CCONJ
ejpam-3757	26	42	g	g	PROPN
ejpam-3757	26	43	(	(	PUNCT
ejpam-3757	26	44	α	α	NOUN
ejpam-3757	26	45	n	n	INTJ
ejpam-3757	26	46	(	(	PUNCT
ejpam-3757	26	47	x	x	X
ejpam-3757	26	48	)	)	PUNCT
ejpam-3757	26	49	are	be	AUX
ejpam-3757	26	50	usually	usually	ADV
ejpam-3757	26	51	defined	define	VERB
ejpam-3757	26	52	by	by	ADP
ejpam-3757	26	53	means	mean	NOUN
ejpam-3757	26	54	of	of	ADP
ejpam-3757	26	55	the	the	DET
ejpam-3757	26	56	generating	generating	NOUN
ejpam-3757	26	57	functions	function	NOUN
ejpam-3757	26	58	(	(	PUNCT
ejpam-3757	26	59	see	see	VERB
ejpam-3757	26	60	[	[	X
ejpam-3757	26	61	1	1	NUM
ejpam-3757	26	62	,	,	PUNCT
ejpam-3757	26	63	3	3	NUM
ejpam-3757	26	64	,	,	PUNCT
ejpam-3757	26	65	4	4	NUM
ejpam-3757	26	66	,	,	PUNCT
ejpam-3757	26	67	29	29	NUM
ejpam-3757	26	68	]	]	PUNCT
ejpam-3757	26	69	)	)	PUNCT
ejpam-3757	26	70	(	(	PUNCT
ejpam-3757	27	1	t	t	NOUN
ejpam-3757	27	2	et	et	NOUN
ejpam-3757	27	3	−	−	NOUN
ejpam-3757	27	4	1	1	X
ejpam-3757	27	5	)	)	PUNCT
ejpam-3757	27	6	α	α	PRON
ejpam-3757	27	7	ext	ext	NOUN
ejpam-3757	27	8	=	=	PUNCT
ejpam-3757	28	1	∞∑	∞∑	NUM
ejpam-3757	28	2	n=0	n=0	NUM
ejpam-3757	28	3	b(α	b(α	NOUN
ejpam-3757	28	4	)	)	PUNCT
ejpam-3757	28	5	n	n	CCONJ
ejpam-3757	28	6	(	(	PUNCT
ejpam-3757	28	7	x	x	X
ejpam-3757	28	8	)	)	PUNCT
ejpam-3757	28	9	tn	tn	PROPN
ejpam-3757	28	10	n	n	PROPN
ejpam-3757	28	11	!	!	PUNCT
ejpam-3757	29	1	(	(	PUNCT
ejpam-3757	29	2	|t|	|t|	ADP
ejpam-3757	29	3	<	<	X
ejpam-3757	29	4	2π	2π	NOUN
ejpam-3757	29	5	,	,	PUNCT
ejpam-3757	29	6	α	α	PROPN
ejpam-3757	29	7	∈	∈	PROPN
ejpam-3757	29	8	c	c	NOUN
ejpam-3757	29	9	)	)	PUNCT
ejpam-3757	29	10	,	,	PUNCT
ejpam-3757	29	11	(	(	PUNCT
ejpam-3757	29	12	2	2	NUM
ejpam-3757	29	13	et	et	NOUN
ejpam-3757	29	14	+	+	NOUN
ejpam-3757	29	15	1	1	X
ejpam-3757	29	16	)	)	PUNCT
ejpam-3757	29	17	α	α	PRON
ejpam-3757	29	18	ext	ext	NOUN
ejpam-3757	29	19	=	=	PUNCT
ejpam-3757	30	1	∞∑	∞∑	NUM
ejpam-3757	30	2	n=0	n=0	NUM
ejpam-3757	30	3	e(α	e(α	NOUN
ejpam-3757	30	4	)	)	PUNCT
ejpam-3757	30	5	n	n	CCONJ
ejpam-3757	30	6	(	(	PUNCT
ejpam-3757	30	7	x	x	X
ejpam-3757	30	8	)	)	PUNCT
ejpam-3757	30	9	tn	tn	PROPN
ejpam-3757	30	10	n	n	PROPN
ejpam-3757	30	11	!	!	PUNCT
ejpam-3757	31	1	(	(	PUNCT
ejpam-3757	31	2	|t|	|t|	ADP
ejpam-3757	31	3	<	<	X
ejpam-3757	31	4	π	π	PROPN
ejpam-3757	31	5	,	,	PUNCT
ejpam-3757	31	6	α	α	PROPN
ejpam-3757	31	7	∈	∈	PROPN
ejpam-3757	31	8	c	c	NOUN
ejpam-3757	31	9	)	)	PUNCT
ejpam-3757	31	10	,	,	PUNCT
ejpam-3757	31	11	(	(	PUNCT
ejpam-3757	31	12	2	2	NUM
ejpam-3757	31	13	t	t	NOUN
ejpam-3757	31	14	et	et	NOUN
ejpam-3757	31	15	+	+	CCONJ
ejpam-3757	31	16	1	1	X
ejpam-3757	31	17	)	)	PUNCT
ejpam-3757	31	18	α	α	PRON
ejpam-3757	31	19	ext	ext	NOUN
ejpam-3757	32	1	=	=	PUNCT
ejpam-3757	33	1	∞∑	∞∑	NUM
ejpam-3757	33	2	n=0	n=0	NUM
ejpam-3757	33	3	g(α	g(α	PROPN
ejpam-3757	33	4	)	)	PUNCT
ejpam-3757	33	5	n	n	CCONJ
ejpam-3757	33	6	(	(	PUNCT
ejpam-3757	33	7	x	x	X
ejpam-3757	33	8	)	)	PUNCT
ejpam-3757	33	9	tn	tn	PROPN
ejpam-3757	33	10	n	n	PROPN
ejpam-3757	33	11	!	!	PUNCT
ejpam-3757	33	12	(	(	PUNCT
ejpam-3757	33	13	|t|	|t|	ADP
ejpam-3757	33	14	<	<	X
ejpam-3757	33	15	π	π	PROPN
ejpam-3757	33	16	,	,	PUNCT
ejpam-3757	33	17	α	α	PROPN
ejpam-3757	33	18	∈	∈	PROPN
ejpam-3757	33	19	c	c	NOUN
ejpam-3757	33	20	)	)	PUNCT
ejpam-3757	33	21	.	.	PUNCT
ejpam-3757	34	1	hence	hence	ADV
ejpam-3757	34	2	,	,	PUNCT
ejpam-3757	34	3	b(1	b(1	PROPN
ejpam-3757	34	4	)	)	PUNCT
ejpam-3757	34	5	n	n	CCONJ
ejpam-3757	34	6	(	(	PUNCT
ejpam-3757	34	7	x	x	X
ejpam-3757	34	8	)	)	PUNCT
ejpam-3757	34	9	:	:	PUNCT
ejpam-3757	34	10	=	=	SYM
ejpam-3757	34	11	bn(x	bn(x	X
ejpam-3757	34	12	)	)	PUNCT
ejpam-3757	34	13	e(1	e(1	PROPN
ejpam-3757	34	14	)	)	PUNCT
ejpam-3757	34	15	n	n	CCONJ
ejpam-3757	34	16	(	(	PUNCT
ejpam-3757	34	17	x	x	X
ejpam-3757	34	18	)	)	PUNCT
ejpam-3757	34	19	:	:	PUNCT
ejpam-3757	34	20	=	=	SYM
ejpam-3757	34	21	en(x	en(x	X
ejpam-3757	34	22	)	)	PUNCT
ejpam-3757	34	23	and	and	CCONJ
ejpam-3757	34	24	g(1	g(1	PROPN
ejpam-3757	34	25	)	)	PUNCT
ejpam-3757	35	1	n	n	CCONJ
ejpam-3757	35	2	(	(	PUNCT
ejpam-3757	35	3	x	x	X
ejpam-3757	35	4	)	)	PUNCT
ejpam-3757	35	5	:	:	PUNCT
ejpam-3757	36	1	=	=	NOUN
ejpam-3757	36	2	gn(x	gn(x	X
ejpam-3757	36	3	)	)	PUNCT
ejpam-3757	36	4	.	.	PUNCT
ejpam-3757	37	1	the	the	DET
ejpam-3757	37	2	classical	classical	ADJ
ejpam-3757	37	3	bernoulli	bernoulli	NOUN
ejpam-3757	37	4	numbers	number	NOUN
ejpam-3757	37	5	bn	bn	ADP
ejpam-3757	37	6	,	,	PUNCT
ejpam-3757	37	7	euler	euler	NOUN
ejpam-3757	37	8	numbers	number	NOUN
ejpam-3757	37	9	en	en	ADV
ejpam-3757	37	10	,	,	PUNCT
ejpam-3757	37	11	and	and	CCONJ
ejpam-3757	37	12	genocchi	genocchi	PROPN
ejpam-3757	37	13	numbers	number	NOUN
ejpam-3757	37	14	gn	gn	PROPN
ejpam-3757	37	15	are	be	AUX
ejpam-3757	37	16	obtained	obtain	VERB
ejpam-3757	37	17	by	by	ADP
ejpam-3757	37	18	setting	set	VERB
ejpam-3757	37	19	further	far	ADV
ejpam-3757	37	20	x	x	PUNCT
ejpam-3757	38	1	=	=	PUNCT
ejpam-3757	38	2	0	0	X
ejpam-3757	38	3	.	.	PUNCT
ejpam-3757	39	1	that	that	PRON
ejpam-3757	39	2	is	be	AUX
ejpam-3757	39	3	bn(0	bn(0	PROPN
ejpam-3757	39	4	)	)	PUNCT
ejpam-3757	40	1	:	:	PUNCT
ejpam-3757	40	2	=	=	PUNCT
ejpam-3757	40	3	bn	bn	NUM
ejpam-3757	40	4	en(0	en(0	NOUN
ejpam-3757	40	5	)	)	PUNCT
ejpam-3757	40	6	:	:	PUNCT
ejpam-3757	41	1	=	=	PUNCT
ejpam-3757	41	2	en	en	X
ejpam-3757	41	3	and	and	CCONJ
ejpam-3757	41	4	gn(0	gn(0	NOUN
ejpam-3757	41	5	)	)	PUNCT
ejpam-3757	41	6	:	:	PUNCT
ejpam-3757	42	1	=	=	SYM
ejpam-3757	42	2	gn	gn	PROPN
ejpam-3757	42	3	.	.	PUNCT
ejpam-3757	42	4	n.	n.	PROPN
ejpam-3757	42	5	g.	g.	PROPN
ejpam-3757	42	6	acala	acala	PROPN
ejpam-3757	42	7	/	/	SYM
ejpam-3757	42	8	eur	eur	PROPN
ejpam-3757	42	9	.	.	PUNCT
ejpam-3757	43	1	j.	j.	PROPN
ejpam-3757	43	2	pure	pure	PROPN
ejpam-3757	43	3	appl	appl	PROPN
ejpam-3757	43	4	.	.	PROPN
ejpam-3757	43	5	math	math	PROPN
ejpam-3757	43	6	,	,	PUNCT
ejpam-3757	43	7	13	13	NUM
ejpam-3757	43	8	(	(	PUNCT
ejpam-3757	43	9	3	3	NUM
ejpam-3757	43	10	)	)	PUNCT
ejpam-3757	43	11	(	(	PUNCT
ejpam-3757	43	12	2020	2020	NUM
ejpam-3757	43	13	)	)	PUNCT
ejpam-3757	43	14	,	,	PUNCT
ejpam-3757	43	15	587	587	NUM
ejpam-3757	43	16	-	-	SYM
ejpam-3757	43	17	607	607	NUM
ejpam-3757	43	18	589	589	NUM
ejpam-3757	43	19	in	in	ADP
ejpam-3757	43	20	[	[	PUNCT
ejpam-3757	43	21	9	9	NUM
ejpam-3757	43	22	]	]	PUNCT
ejpam-3757	43	23	,	,	PUNCT
ejpam-3757	43	24	karande	karande	PROPN
ejpam-3757	43	25	and	and	CCONJ
ejpam-3757	43	26	thakare	thakare	NOUN
ejpam-3757	43	27	obtained	obtain	VERB
ejpam-3757	43	28	a	a	DET
ejpam-3757	43	29	class	class	NOUN
ejpam-3757	43	30	of	of	ADP
ejpam-3757	43	31	polynomials	polynomial	NOUN
ejpam-3757	43	32	dn(x;u	dn(x;u	PROPN
ejpam-3757	43	33	,	,	PUNCT
ejpam-3757	43	34	k	k	NOUN
ejpam-3757	43	35	)	)	PUNCT
ejpam-3757	43	36	unifying	unify	VERB
ejpam-3757	43	37	the	the	DET
ejpam-3757	43	38	classical	classical	ADJ
ejpam-3757	43	39	bernoulli	bernoulli	NOUN
ejpam-3757	43	40	,	,	PUNCT
ejpam-3757	43	41	euler	euler	NOUN
ejpam-3757	43	42	,	,	PUNCT
ejpam-3757	43	43	and	and	CCONJ
ejpam-3757	43	44	genocchi	genocchi	PROPN
ejpam-3757	43	45	polynomials	polynomial	VERB
ejpam-3757	43	46	through	through	ADP
ejpam-3757	43	47	the	the	DET
ejpam-3757	43	48	generating	generate	VERB
ejpam-3757	43	49	function	function	NOUN
ejpam-3757	43	50	:	:	PUNCT
ejpam-3757	43	51	21−ktk	21−ktk	NUM
ejpam-3757	43	52	et	et	NOUN
ejpam-3757	43	53	−	−	NOUN
ejpam-3757	43	54	u	u	NOUN
ejpam-3757	43	55	ext	ext	NOUN
ejpam-3757	43	56	=	=	NOUN
ejpam-3757	43	57	∞∑	∞∑	NUM
ejpam-3757	43	58	n=0	n=0	ADJ
ejpam-3757	43	59	dn(x;u	dn(x;u	NOUN
ejpam-3757	43	60	,	,	PUNCT
ejpam-3757	43	61	k	k	PROPN
ejpam-3757	43	62	)	)	PUNCT
ejpam-3757	43	63	tn	tn	PROPN
ejpam-3757	43	64	n	n	PROPN
ejpam-3757	43	65	!	!	PUNCT
ejpam-3757	44	1	(	(	PUNCT
ejpam-3757	44	2	u	u	PROPN
ejpam-3757	44	3	∈	∈	PROPN
ejpam-3757	44	4	r−	r−	PROPN
ejpam-3757	44	5	{	{	PUNCT
ejpam-3757	44	6	0	0	NUM
ejpam-3757	44	7	}	}	PUNCT
ejpam-3757	44	8	,	,	PUNCT
ejpam-3757	44	9	k	k	PROPN
ejpam-3757	44	10	∈	∈	PROPN
ejpam-3757	44	11	z	z	PROPN
ejpam-3757	44	12	)	)	PUNCT
ejpam-3757	44	13	,	,	PUNCT
ejpam-3757	44	14	in	in	ADP
ejpam-3757	44	15	which	which	PRON
ejpam-3757	44	16	dn(x	dn(x	PROPN
ejpam-3757	44	17	;	;	PUNCT
ejpam-3757	44	18	1	1	NUM
ejpam-3757	44	19	,	,	PUNCT
ejpam-3757	44	20	1	1	NUM
ejpam-3757	44	21	)	)	PUNCT
ejpam-3757	44	22	=	=	NOUN
ejpam-3757	44	23	bn(x	bn(x	NUM
ejpam-3757	44	24	)	)	PUNCT
ejpam-3757	44	25	,	,	PUNCT
ejpam-3757	44	26	dn(x;−1	dn(x;−1	NOUN
ejpam-3757	44	27	,	,	PUNCT
ejpam-3757	44	28	0	0	NUM
ejpam-3757	44	29	)	)	PUNCT
ejpam-3757	44	30	=	=	SYM
ejpam-3757	44	31	en(x	en(x	X
ejpam-3757	44	32	)	)	PUNCT
ejpam-3757	44	33	,	,	PUNCT
ejpam-3757	44	34	and	and	CCONJ
ejpam-3757	44	35	2dn(0;−1	2dn(0;−1	NOUN
ejpam-3757	44	36	,	,	PUNCT
ejpam-3757	44	37	1	1	NUM
ejpam-3757	44	38	)	)	PUNCT
ejpam-3757	44	39	=	=	SYM
ejpam-3757	44	40	gn	gn	PROPN
ejpam-3757	44	41	.	.	PUNCT
ejpam-3757	45	1	the	the	DET
ejpam-3757	45	2	higher	high	ADJ
ejpam-3757	45	3	order	order	NOUN
ejpam-3757	45	4	apostol	apostol	NOUN
ejpam-3757	45	5	-	-	PUNCT
ejpam-3757	45	6	bernoulli	bernoulli	NOUN
ejpam-3757	45	7	polynomials	polynomials	PROPN
ejpam-3757	45	8	b	b	PROPN
ejpam-3757	45	9	(	(	PUNCT
ejpam-3757	45	10	α	α	NOUN
ejpam-3757	45	11	)	)	PUNCT
ejpam-3757	45	12	n	n	PROPN
ejpam-3757	45	13	(	(	PUNCT
ejpam-3757	45	14	x;λ	x;λ	NUM
ejpam-3757	45	15	)	)	PUNCT
ejpam-3757	46	1	,	,	PUNCT
ejpam-3757	46	2	higher	high	ADJ
ejpam-3757	46	3	order	order	NOUN
ejpam-3757	46	4	apostol	apostol	NOUN
ejpam-3757	46	5	-	-	PUNCT
ejpam-3757	46	6	euler	euler	NOUN
ejpam-3757	46	7	polynomials	polynomial	NOUN
ejpam-3757	46	8	e	e	X
ejpam-3757	46	9	(	(	PUNCT
ejpam-3757	46	10	α	α	NOUN
ejpam-3757	46	11	)	)	PUNCT
ejpam-3757	46	12	n	n	PROPN
ejpam-3757	46	13	(	(	PUNCT
ejpam-3757	46	14	x;λ	x;λ	NUM
ejpam-3757	46	15	)	)	PUNCT
ejpam-3757	46	16	,	,	PUNCT
ejpam-3757	46	17	and	and	CCONJ
ejpam-3757	46	18	higher	high	ADJ
ejpam-3757	46	19	order	order	NOUN
ejpam-3757	46	20	apostol	apostol	NOUN
ejpam-3757	46	21	-	-	PUNCT
ejpam-3757	46	22	genocchi	genocchi	PROPN
ejpam-3757	46	23	polynomials	polynomial	VERB
ejpam-3757	46	24	g	g	PROPN
ejpam-3757	46	25	(	(	PUNCT
ejpam-3757	46	26	α	α	NOUN
ejpam-3757	46	27	)	)	PUNCT
ejpam-3757	46	28	n	n	PROPN
ejpam-3757	46	29	(	(	PUNCT
ejpam-3757	46	30	x;λ	x;λ	NUM
ejpam-3757	46	31	)	)	PUNCT
ejpam-3757	46	32	(	(	PUNCT
ejpam-3757	46	33	see	see	VERB
ejpam-3757	46	34	[	[	X
ejpam-3757	46	35	18	18	NUM
ejpam-3757	46	36	,	,	PUNCT
ejpam-3757	46	37	20–24	20–24	NUM
ejpam-3757	46	38	,	,	PUNCT
ejpam-3757	46	39	32	32	NUM
ejpam-3757	46	40	,	,	PUNCT
ejpam-3757	46	41	33	33	NUM
ejpam-3757	46	42	]	]	PUNCT
ejpam-3757	46	43	)	)	PUNCT
ejpam-3757	46	44	are	be	AUX
ejpam-3757	46	45	defined	define	VERB
ejpam-3757	46	46	through	through	ADP
ejpam-3757	46	47	the	the	DET
ejpam-3757	46	48	generating	generating	NOUN
ejpam-3757	46	49	functions	function	NOUN
ejpam-3757	46	50	:(	:(	PUNCT
ejpam-3757	47	1	t	t	PROPN
ejpam-3757	47	2	λet	λet	CCONJ
ejpam-3757	47	3	−	−	NUM
ejpam-3757	47	4	1	1	NUM
ejpam-3757	47	5	)	)	PUNCT
ejpam-3757	47	6	(	(	PUNCT
ejpam-3757	47	7	α	α	X
ejpam-3757	47	8	)	)	PUNCT
ejpam-3757	47	9	ext	ext	NOUN
ejpam-3757	47	10	=	=	NOUN
ejpam-3757	48	1	∞∑	∞∑	NUM
ejpam-3757	48	2	n=0	n=0	NUM
ejpam-3757	48	3	b(α	b(α	NOUN
ejpam-3757	48	4	)	)	PUNCT
ejpam-3757	48	5	n	n	CCONJ
ejpam-3757	48	6	(	(	PUNCT
ejpam-3757	48	7	x;λ	x;λ	NUM
ejpam-3757	48	8	)	)	PUNCT
ejpam-3757	48	9	(	(	PUNCT
ejpam-3757	48	10	|t+	|t+	NOUN
ejpam-3757	48	11	lnλ|	lnλ|	VERB
ejpam-3757	48	12	<	<	X
ejpam-3757	48	13	2π	2π	NOUN
ejpam-3757	48	14	;	;	PUNCT
ejpam-3757	48	15	1α	1α	NUM
ejpam-3757	48	16	=	=	SYM
ejpam-3757	48	17	1	1	NUM
ejpam-3757	48	18	,	,	PUNCT
ejpam-3757	48	19	α	α	PROPN
ejpam-3757	48	20	∈	∈	PROPN
ejpam-3757	48	21	c	c	NOUN
ejpam-3757	48	22	)	)	PUNCT
ejpam-3757	48	23	,	,	PUNCT
ejpam-3757	48	24	(	(	PUNCT
ejpam-3757	48	25	2	2	NUM
ejpam-3757	48	26	λet	λet	NOUN
ejpam-3757	48	27	+	+	NOUN
ejpam-3757	48	28	1	1	NUM
ejpam-3757	48	29	)	)	PUNCT
ejpam-3757	48	30	(	(	PUNCT
ejpam-3757	48	31	α	α	X
ejpam-3757	48	32	)	)	PUNCT
ejpam-3757	48	33	ext	ext	NOUN
ejpam-3757	48	34	=	=	NOUN
ejpam-3757	49	1	∞∑	∞∑	NUM
ejpam-3757	49	2	n=0	n=0	NUM
ejpam-3757	49	3	e(α	e(α	NOUN
ejpam-3757	49	4	)	)	PUNCT
ejpam-3757	49	5	n	n	CCONJ
ejpam-3757	49	6	(	(	PUNCT
ejpam-3757	49	7	x;λ	x;λ	NUM
ejpam-3757	49	8	)	)	PUNCT
ejpam-3757	49	9	(	(	PUNCT
ejpam-3757	49	10	|t+	|t+	PROPN
ejpam-3757	49	11	lnλ|	lnλ|	VERB
ejpam-3757	49	12	<	<	X
ejpam-3757	49	13	π	π	PROPN
ejpam-3757	49	14	;	;	PUNCT
ejpam-3757	49	15	1α	1α	NUM
ejpam-3757	49	16	=	=	SYM
ejpam-3757	49	17	1	1	NUM
ejpam-3757	49	18	,	,	PUNCT
ejpam-3757	49	19	α	α	PROPN
ejpam-3757	49	20	∈	∈	PROPN
ejpam-3757	49	21	c	c	NOUN
ejpam-3757	49	22	)	)	PUNCT
ejpam-3757	49	23	,	,	PUNCT
ejpam-3757	49	24	(	(	PUNCT
ejpam-3757	49	25	2	2	NUM
ejpam-3757	49	26	t	t	NOUN
ejpam-3757	49	27	λet	λet	NOUN
ejpam-3757	49	28	+	+	CCONJ
ejpam-3757	49	29	1	1	NUM
ejpam-3757	49	30	)	)	PUNCT
ejpam-3757	49	31	(	(	PUNCT
ejpam-3757	49	32	α	α	X
ejpam-3757	49	33	)	)	PUNCT
ejpam-3757	49	34	ext	ext	NOUN
ejpam-3757	49	35	=	=	NOUN
ejpam-3757	49	36	∞∑	∞∑	PROPN
ejpam-3757	49	37	n=0	n=0	NUM
ejpam-3757	49	38	g(α	g(α	PROPN
ejpam-3757	49	39	)	)	PUNCT
ejpam-3757	49	40	n	n	CCONJ
ejpam-3757	49	41	(	(	PUNCT
ejpam-3757	49	42	x;λ	x;λ	NUM
ejpam-3757	49	43	)	)	PUNCT
ejpam-3757	49	44	(	(	PUNCT
ejpam-3757	49	45	|t+	|t+	PROPN
ejpam-3757	49	46	lnλ|	lnλ|	VERB
ejpam-3757	49	47	<	<	X
ejpam-3757	49	48	π	π	PROPN
ejpam-3757	49	49	;	;	PUNCT
ejpam-3757	49	50	1α	1α	NUM
ejpam-3757	49	51	=	=	SYM
ejpam-3757	49	52	1	1	NUM
ejpam-3757	49	53	,	,	PUNCT
ejpam-3757	49	54	α	α	PROPN
ejpam-3757	49	55	∈	∈	PROPN
ejpam-3757	49	56	c	c	NOUN
ejpam-3757	49	57	)	)	PUNCT
ejpam-3757	49	58	.	.	PUNCT
ejpam-3757	50	1	for	for	ADP
ejpam-3757	50	2	λ	λ	PROPN
ejpam-3757	50	3	=	=	SYM
ejpam-3757	50	4	1	1	NUM
ejpam-3757	50	5	,	,	PUNCT
ejpam-3757	50	6	b(α	b(α	NOUN
ejpam-3757	50	7	)	)	PUNCT
ejpam-3757	50	8	n	n	CCONJ
ejpam-3757	50	9	(	(	PUNCT
ejpam-3757	50	10	x	x	NOUN
ejpam-3757	50	11	;	;	PUNCT
ejpam-3757	50	12	1	1	X
ejpam-3757	50	13	)	)	PUNCT
ejpam-3757	50	14	=	=	PRON
ejpam-3757	50	15	bα	bα	PROPN
ejpam-3757	50	16	n	n	PROPN
ejpam-3757	50	17	(	(	PUNCT
ejpam-3757	50	18	x	x	NOUN
ejpam-3757	50	19	)	)	PUNCT
ejpam-3757	50	20	,	,	PUNCT
ejpam-3757	50	21	e(α	e(α	PROPN
ejpam-3757	50	22	)	)	PUNCT
ejpam-3757	50	23	n	n	CCONJ
ejpam-3757	50	24	(	(	PUNCT
ejpam-3757	50	25	x	x	X
ejpam-3757	50	26	,	,	PUNCT
ejpam-3757	50	27	1	1	NUM
ejpam-3757	50	28	)	)	PUNCT
ejpam-3757	50	29	=	=	SYM
ejpam-3757	50	30	e(α	e(α	PROPN
ejpam-3757	50	31	)	)	PUNCT
ejpam-3757	50	32	n	n	CCONJ
ejpam-3757	50	33	(	(	PUNCT
ejpam-3757	50	34	x	x	NOUN
ejpam-3757	50	35	)	)	PUNCT
ejpam-3757	50	36	,	,	PUNCT
ejpam-3757	50	37	and	and	CCONJ
ejpam-3757	50	38	;	;	PUNCT
ejpam-3757	50	39	g(α	g(α	PROPN
ejpam-3757	50	40	)	)	PUNCT
ejpam-3757	50	41	n	n	CCONJ
ejpam-3757	50	42	(	(	PUNCT
ejpam-3757	50	43	x	x	X
ejpam-3757	50	44	,	,	PUNCT
ejpam-3757	50	45	1	1	NUM
ejpam-3757	50	46	)	)	PUNCT
ejpam-3757	50	47	=	=	SYM
ejpam-3757	50	48	g(α	g(α	PROPN
ejpam-3757	50	49	)	)	PUNCT
ejpam-3757	50	50	n	n	CCONJ
ejpam-3757	50	51	(	(	PUNCT
ejpam-3757	50	52	x	x	NOUN
ejpam-3757	50	53	)	)	PUNCT
ejpam-3757	50	54	,	,	PUNCT
ejpam-3757	50	55	where	where	SCONJ
ejpam-3757	50	56	bα	bα	PROPN
ejpam-3757	50	57	n	n	CCONJ
ejpam-3757	50	58	(	(	PUNCT
ejpam-3757	50	59	x	x	NOUN
ejpam-3757	50	60	)	)	PUNCT
ejpam-3757	50	61	,	,	PUNCT
ejpam-3757	50	62	eαn	eαn	X
ejpam-3757	50	63	(	(	PUNCT
ejpam-3757	50	64	x	x	X
ejpam-3757	50	65	)	)	PUNCT
ejpam-3757	50	66	,	,	PUNCT
ejpam-3757	50	67	ang	ang	PROPN
ejpam-3757	50	68	gαn(x	gαn(x	PROPN
ejpam-3757	50	69	)	)	PUNCT
ejpam-3757	50	70	are	be	AUX
ejpam-3757	50	71	the	the	DET
ejpam-3757	50	72	bernoulli	bernoulli	PROPN
ejpam-3757	50	73	,	,	PUNCT
ejpam-3757	50	74	euler	euler	VERB
ejpam-3757	50	75	and	and	CCONJ
ejpam-3757	50	76	genocchi	genocchi	PROPN
ejpam-3757	50	77	polynomials	polynomial	NOUN
ejpam-3757	50	78	of	of	ADP
ejpam-3757	50	79	order	order	NOUN
ejpam-3757	50	80	α	α	NOUN
ejpam-3757	50	81	,	,	PUNCT
ejpam-3757	50	82	respectively	respectively	ADV
ejpam-3757	50	83	.	.	PUNCT
ejpam-3757	51	1	further	far	ADV
ejpam-3757	51	2	setting	set	VERB
ejpam-3757	51	3	α	α	NOUN
ejpam-3757	51	4	=	=	SYM
ejpam-3757	51	5	1	1	NUM
ejpam-3757	51	6	,	,	PUNCT
ejpam-3757	51	7	each	each	PRON
ejpam-3757	51	8	reduces	reduce	VERB
ejpam-3757	51	9	to	to	ADP
ejpam-3757	51	10	its	its	PRON
ejpam-3757	51	11	classical	classical	ADJ
ejpam-3757	51	12	kind	kind	NOUN
ejpam-3757	51	13	.	.	PUNCT
ejpam-3757	52	1	in	in	ADP
ejpam-3757	52	2	[	[	X
ejpam-3757	52	3	26	26	NUM
ejpam-3757	52	4	]	]	PUNCT
ejpam-3757	52	5	,	,	PUNCT
ejpam-3757	52	6	ozden	ozden	PROPN
ejpam-3757	52	7	et	et	PROPN
ejpam-3757	52	8	al	al	PROPN
ejpam-3757	52	9	.	.	PROPN
ejpam-3757	52	10	introduced	introduce	VERB
ejpam-3757	52	11	a	a	DET
ejpam-3757	52	12	more	more	ADV
ejpam-3757	52	13	general	general	ADJ
ejpam-3757	52	14	unification	unification	NOUN
ejpam-3757	52	15	of	of	ADP
ejpam-3757	52	16	apostol	apostol	NOUN
ejpam-3757	52	17	-	-	PUNCT
ejpam-3757	52	18	type	type	NOUN
ejpam-3757	52	19	bernoulli	bernoulli	PROPN
ejpam-3757	52	20	,	,	PUNCT
ejpam-3757	52	21	euler	euler	VERB
ejpam-3757	52	22	and	and	CCONJ
ejpam-3757	52	23	genocchi	genocchi	PROPN
ejpam-3757	52	24	polynomials	polynomial	NOUN
ejpam-3757	52	25	via	via	ADP
ejpam-3757	52	26	the	the	DET
ejpam-3757	52	27	generating	generate	VERB
ejpam-3757	52	28	function	function	NOUN
ejpam-3757	52	29	:	:	PUNCT
ejpam-3757	53	1	21−ktk	21−ktk	NUM
ejpam-3757	53	2	βbet	βbet	ADJ
ejpam-3757	53	3	−	−	PROPN
ejpam-3757	53	4	ab	ab	PROPN
ejpam-3757	53	5	ext	ext	NOUN
ejpam-3757	53	6	=	=	PUNCT
ejpam-3757	53	7	∞∑	∞∑	PROPN
ejpam-3757	53	8	n=0	n=0	NUM
ejpam-3757	53	9	yn	yn	PROPN
ejpam-3757	53	10	,	,	PUNCT
ejpam-3757	53	11	β(x	β(x	PROPN
ejpam-3757	53	12	;	;	PUNCT
ejpam-3757	53	13	k	k	X
ejpam-3757	53	14	,	,	PUNCT
ejpam-3757	53	15	a	a	DET
ejpam-3757	53	16	,	,	PUNCT
ejpam-3757	53	17	b	b	NOUN
ejpam-3757	53	18	)	)	PUNCT
ejpam-3757	53	19	tn	tn	PROPN
ejpam-3757	53	20	n	n	X
ejpam-3757	53	21	!	!	PUNCT
ejpam-3757	54	1	(	(	PUNCT
ejpam-3757	54	2	|t+	|t+	NOUN
ejpam-3757	54	3	b	b	X
ejpam-3757	54	4	ln(β	ln(β	X
ejpam-3757	54	5	/	/	SYM
ejpam-3757	54	6	a)|	a)|	X
ejpam-3757	54	7	<	<	X
ejpam-3757	54	8	2π	2π	NOUN
ejpam-3757	54	9	;	;	PUNCT
ejpam-3757	54	10	k	k	PROPN
ejpam-3757	54	11	∈	∈	PROPN
ejpam-3757	54	12	n	n	CCONJ
ejpam-3757	54	13	;	;	PUNCT
ejpam-3757	54	14	a	a	DET
ejpam-3757	54	15	,	,	PUNCT
ejpam-3757	54	16	b	b	NOUN
ejpam-3757	54	17	∈	∈	PROPN
ejpam-3757	54	18	r+;β	r+;β	NOUN
ejpam-3757	54	19	∈	∈	PROPN
ejpam-3757	54	20	c	c	NOUN
ejpam-3757	54	21	)	)	PUNCT
ejpam-3757	54	22	.	.	PUNCT
ejpam-3757	55	1	this	this	PRON
ejpam-3757	55	2	was	be	AUX
ejpam-3757	55	3	further	far	ADV
ejpam-3757	55	4	extended	extend	VERB
ejpam-3757	55	5	by	by	ADP
ejpam-3757	55	6	ozarslan	ozarslan	NOUN
ejpam-3757	55	7	[	[	X
ejpam-3757	55	8	25	25	NUM
ejpam-3757	55	9	]	]	PUNCT
ejpam-3757	55	10	to	to	ADP
ejpam-3757	55	11	higher	high	ADJ
ejpam-3757	55	12	order	order	NOUN
ejpam-3757	55	13	type	type	NOUN
ejpam-3757	55	14	of	of	ADP
ejpam-3757	55	15	polynomials	polynomial	NOUN
ejpam-3757	55	16	through	through	ADP
ejpam-3757	55	17	this	this	DET
ejpam-3757	55	18	generating	generate	VERB
ejpam-3757	55	19	function	function	NOUN
ejpam-3757	55	20	:	:	PUNCT
ejpam-3757	55	21	(	(	PUNCT
ejpam-3757	55	22	21−ktk	21−ktk	NUM
ejpam-3757	55	23	βbet−ab	βbet−ab	NOUN
ejpam-3757	55	24	)	)	PUNCT
ejpam-3757	55	25	α	α	PRON
ejpam-3757	55	26	ext	ext	NOUN
ejpam-3757	55	27	=	=	PUNCT
ejpam-3757	56	1	∞∑	∞∑	NUM
ejpam-3757	56	2	n=0	n=0	NUM
ejpam-3757	56	3	p	p	NOUN
ejpam-3757	56	4	(	(	PUNCT
ejpam-3757	56	5	α	α	NOUN
ejpam-3757	56	6	)	)	PUNCT
ejpam-3757	56	7	n	n	CCONJ
ejpam-3757	56	8	,	,	PUNCT
ejpam-3757	56	9	β	β	X
ejpam-3757	56	10	(	(	PUNCT
ejpam-3757	56	11	x	x	X
ejpam-3757	56	12	;	;	PUNCT
ejpam-3757	56	13	k	k	X
ejpam-3757	56	14	,	,	PUNCT
ejpam-3757	56	15	a	a	DET
ejpam-3757	56	16	,	,	PUNCT
ejpam-3757	56	17	b	b	NOUN
ejpam-3757	56	18	)	)	PUNCT
ejpam-3757	56	19	tn	tn	PROPN
ejpam-3757	56	20	n	n	X
ejpam-3757	56	21	!	!	PUNCT
ejpam-3757	57	1	(	(	PUNCT
ejpam-3757	57	2	|t+	|t+	NOUN
ejpam-3757	57	3	b	b	X
ejpam-3757	57	4	ln(β	ln(β	X
ejpam-3757	57	5	/	/	SYM
ejpam-3757	57	6	a)|	a)|	X
ejpam-3757	57	7	<	<	X
ejpam-3757	57	8	2π	2π	NOUN
ejpam-3757	57	9	;	;	PUNCT
ejpam-3757	57	10	k	k	PROPN
ejpam-3757	57	11	∈	∈	PROPN
ejpam-3757	57	12	n	n	CCONJ
ejpam-3757	57	13	;	;	PUNCT
ejpam-3757	57	14	a	a	DET
ejpam-3757	57	15	,	,	PUNCT
ejpam-3757	57	16	b	b	PROPN
ejpam-3757	57	17	∈	∈	PROPN
ejpam-3757	57	18	r+;α	r+;α	NOUN
ejpam-3757	57	19	,	,	PUNCT
ejpam-3757	57	20	β	β	X
ejpam-3757	57	21	∈	∈	NOUN
ejpam-3757	57	22	c	c	X
ejpam-3757	57	23	)	)	PUNCT
ejpam-3757	57	24	.	.	PUNCT
ejpam-3757	58	1	(	(	PUNCT
ejpam-3757	58	2	2	2	X
ejpam-3757	58	3	)	)	PUNCT
ejpam-3757	58	4	clearly	clearly	ADV
ejpam-3757	58	5	,	,	PUNCT
ejpam-3757	58	6	p	p	X
ejpam-3757	58	7	(	(	PUNCT
ejpam-3757	58	8	1	1	NUM
ejpam-3757	58	9	)	)	PUNCT
ejpam-3757	58	10	n	n	CCONJ
ejpam-3757	58	11	,	,	PUNCT
ejpam-3757	58	12	λ(x	λ(x	PROPN
ejpam-3757	58	13	;	;	PUNCT
ejpam-3757	58	14	k	k	X
ejpam-3757	58	15	,	,	PUNCT
ejpam-3757	58	16	a	a	DET
ejpam-3757	58	17	,	,	PUNCT
ejpam-3757	58	18	b	b	NOUN
ejpam-3757	58	19	)	)	PUNCT
ejpam-3757	58	20	=	=	SYM
ejpam-3757	58	21	yn	yn	PROPN
ejpam-3757	58	22	,	,	PUNCT
ejpam-3757	58	23	β(x	β(x	PROPN
ejpam-3757	58	24	;	;	PUNCT
ejpam-3757	58	25	k	k	X
ejpam-3757	58	26	,	,	PUNCT
ejpam-3757	58	27	a	a	DET
ejpam-3757	58	28	,	,	PUNCT
ejpam-3757	58	29	b	b	NOUN
ejpam-3757	58	30	)	)	PUNCT
ejpam-3757	58	31	,	,	PUNCT
ejpam-3757	58	32	p	p	X
ejpam-3757	58	33	(	(	PUNCT
ejpam-3757	58	34	α	α	NOUN
ejpam-3757	58	35	)	)	PUNCT
ejpam-3757	58	36	n	n	CCONJ
ejpam-3757	58	37	,	,	PUNCT
ejpam-3757	58	38	λ	λ	PROPN
ejpam-3757	58	39	(	(	PUNCT
ejpam-3757	58	40	x	x	NOUN
ejpam-3757	58	41	;	;	PUNCT
ejpam-3757	58	42	1	1	NUM
ejpam-3757	58	43	,	,	PUNCT
ejpam-3757	58	44	1	1	NUM
ejpam-3757	58	45	,	,	PUNCT
ejpam-3757	58	46	1	1	NUM
ejpam-3757	58	47	)	)	PUNCT
ejpam-3757	58	48	=	=	SYM
ejpam-3757	58	49	b(α	b(α	NOUN
ejpam-3757	58	50	)	)	PUNCT
ejpam-3757	58	51	n	n	CCONJ
ejpam-3757	58	52	(	(	PUNCT
ejpam-3757	58	53	x;λ	x;λ	NUM
ejpam-3757	58	54	)	)	PUNCT
ejpam-3757	58	55	,	,	PUNCT
ejpam-3757	58	56	n.	n.	PROPN
ejpam-3757	58	57	g.	g.	PROPN
ejpam-3757	58	58	acala	acala	PROPN
ejpam-3757	58	59	/	/	SYM
ejpam-3757	58	60	eur	eur	PROPN
ejpam-3757	58	61	.	.	PUNCT
ejpam-3757	59	1	j.	j.	PROPN
ejpam-3757	59	2	pure	pure	PROPN
ejpam-3757	59	3	appl	appl	PROPN
ejpam-3757	59	4	.	.	PROPN
ejpam-3757	59	5	math	math	PROPN
ejpam-3757	59	6	,	,	PUNCT
ejpam-3757	59	7	13	13	NUM
ejpam-3757	59	8	(	(	PUNCT
ejpam-3757	59	9	3	3	NUM
ejpam-3757	59	10	)	)	PUNCT
ejpam-3757	59	11	(	(	PUNCT
ejpam-3757	59	12	2020	2020	NUM
ejpam-3757	59	13	)	)	PUNCT
ejpam-3757	59	14	,	,	PUNCT
ejpam-3757	59	15	587	587	NUM
ejpam-3757	59	16	-	-	SYM
ejpam-3757	59	17	607	607	NUM
ejpam-3757	59	18	590	590	NUM
ejpam-3757	59	19	p	p	NOUN
ejpam-3757	59	20	(	(	PUNCT
ejpam-3757	59	21	α	α	NOUN
ejpam-3757	59	22	)	)	PUNCT
ejpam-3757	59	23	n	n	CCONJ
ejpam-3757	59	24	,	,	PUNCT
ejpam-3757	59	25	λ	λ	PROPN
ejpam-3757	59	26	(	(	PUNCT
ejpam-3757	59	27	x	x	NOUN
ejpam-3757	59	28	;	;	PUNCT
ejpam-3757	59	29	0,−1	0,−1	PRON
ejpam-3757	59	30	,	,	PUNCT
ejpam-3757	59	31	1	1	X
ejpam-3757	59	32	)	)	PUNCT
ejpam-3757	59	33	=	=	SYM
ejpam-3757	59	34	e(α	e(α	PROPN
ejpam-3757	59	35	)	)	PUNCT
ejpam-3757	59	36	n	n	CCONJ
ejpam-3757	59	37	(	(	PUNCT
ejpam-3757	59	38	x;λ	x;λ	NUM
ejpam-3757	59	39	)	)	PUNCT
ejpam-3757	59	40	,	,	PUNCT
ejpam-3757	59	41	p	p	X
ejpam-3757	59	42	(	(	PUNCT
ejpam-3757	59	43	α	α	NOUN
ejpam-3757	59	44	)	)	PUNCT
ejpam-3757	59	45	n	n	CCONJ
ejpam-3757	59	46	,	,	PUNCT
ejpam-3757	59	47	λ	λ	PROPN
ejpam-3757	59	48	2	2	NUM
ejpam-3757	59	49	(	(	PUNCT
ejpam-3757	59	50	x	x	NOUN
ejpam-3757	59	51	;	;	PUNCT
ejpam-3757	59	52	1,−1	1,−1	NUM
ejpam-3757	59	53	2	2	NUM
ejpam-3757	59	54	,	,	PUNCT
ejpam-3757	59	55	1	1	NUM
ejpam-3757	59	56	)	)	PUNCT
ejpam-3757	59	57	=	=	SYM
ejpam-3757	59	58	g(α	g(α	PROPN
ejpam-3757	59	59	)	)	PUNCT
ejpam-3757	59	60	n	n	CCONJ
ejpam-3757	59	61	(	(	PUNCT
ejpam-3757	59	62	x;λ	x;λ	NUM
ejpam-3757	59	63	)	)	PUNCT
ejpam-3757	59	64	.	.	PUNCT
ejpam-3757	60	1	finally	finally	ADV
ejpam-3757	60	2	,	,	PUNCT
ejpam-3757	60	3	more	more	ADV
ejpam-3757	60	4	generalized	generalized	ADJ
ejpam-3757	60	5	higher	high	ADJ
ejpam-3757	60	6	order	order	NOUN
ejpam-3757	60	7	apostol	apostol	NOUN
ejpam-3757	60	8	-	-	PUNCT
ejpam-3757	60	9	type	type	NOUN
ejpam-3757	60	10	polynomials	polynomial	NOUN
ejpam-3757	60	11	of	of	ADP
ejpam-3757	60	12	parameters	parameter	NOUN
ejpam-3757	60	13	a	a	DET
ejpam-3757	60	14	,	,	PUNCT
ejpam-3757	60	15	b	b	NOUN
ejpam-3757	60	16	,	,	PUNCT
ejpam-3757	60	17	c	c	PROPN
ejpam-3757	60	18	are	be	AUX
ejpam-3757	60	19	defined	define	VERB
ejpam-3757	60	20	via	via	ADP
ejpam-3757	60	21	the	the	DET
ejpam-3757	60	22	generating	generating	NOUN
ejpam-3757	60	23	functions	function	NOUN
ejpam-3757	60	24	(	(	PUNCT
ejpam-3757	60	25	see	see	VERB
ejpam-3757	60	26	[	[	X
ejpam-3757	60	27	1	1	NUM
ejpam-3757	60	28	,	,	PUNCT
ejpam-3757	60	29	5	5	NUM
ejpam-3757	60	30	,	,	PUNCT
ejpam-3757	60	31	7	7	NUM
ejpam-3757	60	32	,	,	PUNCT
ejpam-3757	60	33	8	8	NUM
ejpam-3757	60	34	,	,	PUNCT
ejpam-3757	60	35	28	28	NUM
ejpam-3757	60	36	,	,	PUNCT
ejpam-3757	60	37	30	30	NUM
ejpam-3757	60	38	,	,	PUNCT
ejpam-3757	60	39	31	31	NUM
ejpam-3757	60	40	]	]	PUNCT
ejpam-3757	60	41	):	):	PUNCT
ejpam-3757	60	42	(	(	PUNCT
ejpam-3757	60	43	t	t	NOUN
ejpam-3757	60	44	λbt	λbt	VERB
ejpam-3757	60	45	−	−	NOUN
ejpam-3757	60	46	at	at	ADP
ejpam-3757	60	47	)	)	PUNCT
ejpam-3757	60	48	α	α	NOUN
ejpam-3757	60	49	cxt	cxt	NOUN
ejpam-3757	60	50	=	=	PUNCT
ejpam-3757	60	51	∞∑	∞∑	PROPN
ejpam-3757	60	52	n=0	n=0	NUM
ejpam-3757	60	53	b(α	b(α	NOUN
ejpam-3757	60	54	)	)	PUNCT
ejpam-3757	60	55	n	n	CCONJ
ejpam-3757	60	56	(	(	PUNCT
ejpam-3757	60	57	x	x	X
ejpam-3757	60	58	;	;	PUNCT
ejpam-3757	60	59	a	a	DET
ejpam-3757	60	60	,	,	PUNCT
ejpam-3757	60	61	b	b	NOUN
ejpam-3757	60	62	,	,	PUNCT
ejpam-3757	60	63	c;λ	c;λ	NUM
ejpam-3757	60	64	)	)	PUNCT
ejpam-3757	60	65	(	(	PUNCT
ejpam-3757	60	66	|t	|t	PROPN
ejpam-3757	60	67	ln(b	ln(b	X
ejpam-3757	60	68	/	/	SYM
ejpam-3757	60	69	a	a	NOUN
ejpam-3757	60	70	)	)	PUNCT
ejpam-3757	60	71	+	+	PUNCT
ejpam-3757	60	72	lnλ|	lnλ|	ADJ
ejpam-3757	60	73	<	<	X
ejpam-3757	60	74	2π	2π	NOUN
ejpam-3757	60	75	;	;	PUNCT
ejpam-3757	60	76	a	a	DET
ejpam-3757	60	77	6=	6=	PROPN
ejpam-3757	60	78	b	b	NOUN
ejpam-3757	60	79	;	;	PUNCT
ejpam-3757	60	80	1α	1α	NUM
ejpam-3757	60	81	=	=	SYM
ejpam-3757	60	82	1	1	NUM
ejpam-3757	60	83	,	,	PUNCT
ejpam-3757	60	84	α	α	PROPN
ejpam-3757	60	85	∈	∈	PROPN
ejpam-3757	60	86	c	c	NOUN
ejpam-3757	60	87	)	)	PUNCT
ejpam-3757	60	88	,	,	PUNCT
ejpam-3757	60	89	(	(	PUNCT
ejpam-3757	60	90	2	2	NUM
ejpam-3757	60	91	λbt	λbt	NOUN
ejpam-3757	60	92	+	+	X
ejpam-3757	60	93	at	at	ADP
ejpam-3757	60	94	)	)	PUNCT
ejpam-3757	60	95	α	α	NOUN
ejpam-3757	60	96	cxt	cxt	NOUN
ejpam-3757	60	97	=	=	PUNCT
ejpam-3757	60	98	∞∑	∞∑	NUM
ejpam-3757	60	99	n=0	n=0	NUM
ejpam-3757	60	100	e(α	e(α	NOUN
ejpam-3757	60	101	)	)	PUNCT
ejpam-3757	60	102	n	n	CCONJ
ejpam-3757	60	103	(	(	PUNCT
ejpam-3757	60	104	x	x	X
ejpam-3757	60	105	;	;	PUNCT
ejpam-3757	60	106	a	a	DET
ejpam-3757	60	107	,	,	PUNCT
ejpam-3757	60	108	b	b	NOUN
ejpam-3757	60	109	,	,	PUNCT
ejpam-3757	60	110	c;λ	c;λ	NUM
ejpam-3757	60	111	)	)	PUNCT
ejpam-3757	60	112	(	(	PUNCT
ejpam-3757	60	113	|t	|t	PROPN
ejpam-3757	60	114	ln(b	ln(b	X
ejpam-3757	60	115	/	/	SYM
ejpam-3757	60	116	a	a	NOUN
ejpam-3757	60	117	)	)	PUNCT
ejpam-3757	61	1	+	+	PUNCT
ejpam-3757	61	2	lnλ|	lnλ|	ADJ
ejpam-3757	61	3	<	<	X
ejpam-3757	61	4	π	π	PROPN
ejpam-3757	61	5	;	;	PUNCT
ejpam-3757	61	6	1α	1α	NUM
ejpam-3757	61	7	=	=	SYM
ejpam-3757	61	8	1	1	NUM
ejpam-3757	61	9	,	,	PUNCT
ejpam-3757	61	10	α	α	PROPN
ejpam-3757	61	11	∈	∈	PROPN
ejpam-3757	61	12	c	c	NOUN
ejpam-3757	61	13	)	)	PUNCT
ejpam-3757	61	14	,	,	PUNCT
ejpam-3757	61	15	(	(	PUNCT
ejpam-3757	61	16	2	2	NUM
ejpam-3757	61	17	t	t	NOUN
ejpam-3757	61	18	λbt	λbt	X
ejpam-3757	61	19	+	+	X
ejpam-3757	61	20	at	at	ADP
ejpam-3757	61	21	)	)	PUNCT
ejpam-3757	61	22	α	α	NOUN
ejpam-3757	61	23	cxt	cxt	NOUN
ejpam-3757	61	24	=	=	PUNCT
ejpam-3757	61	25	∞∑	∞∑	PROPN
ejpam-3757	61	26	n=0	n=0	NUM
ejpam-3757	61	27	g(α	g(α	PROPN
ejpam-3757	61	28	)	)	PUNCT
ejpam-3757	61	29	n	n	CCONJ
ejpam-3757	61	30	(	(	PUNCT
ejpam-3757	61	31	x	x	X
ejpam-3757	61	32	;	;	PUNCT
ejpam-3757	61	33	a	a	DET
ejpam-3757	61	34	,	,	PUNCT
ejpam-3757	61	35	b	b	NOUN
ejpam-3757	61	36	,	,	PUNCT
ejpam-3757	61	37	c;λ	c;λ	NUM
ejpam-3757	61	38	)	)	PUNCT
ejpam-3757	61	39	(	(	PUNCT
ejpam-3757	61	40	|t	|t	PROPN
ejpam-3757	61	41	ln(b	ln(b	X
ejpam-3757	61	42	/	/	SYM
ejpam-3757	61	43	a	a	NOUN
ejpam-3757	61	44	)	)	PUNCT
ejpam-3757	61	45	+	+	PUNCT
ejpam-3757	62	1	lnλ|	lnλ|	ADJ
ejpam-3757	62	2	<	<	X
ejpam-3757	62	3	π	π	PROPN
ejpam-3757	62	4	;	;	PUNCT
ejpam-3757	62	5	1α	1α	NUM
ejpam-3757	62	6	=	=	SYM
ejpam-3757	62	7	1	1	NUM
ejpam-3757	62	8	,	,	PUNCT
ejpam-3757	62	9	α	α	PROPN
ejpam-3757	62	10	∈	∈	PROPN
ejpam-3757	62	11	c	c	NOUN
ejpam-3757	62	12	)	)	PUNCT
ejpam-3757	62	13	.	.	PUNCT
ejpam-3757	63	1	in	in	ADP
ejpam-3757	63	2	the	the	DET
ejpam-3757	63	3	next	next	ADJ
ejpam-3757	63	4	section	section	NOUN
ejpam-3757	63	5	,	,	PUNCT
ejpam-3757	63	6	we	we	PRON
ejpam-3757	63	7	try	try	VERB
ejpam-3757	63	8	to	to	PART
ejpam-3757	63	9	unify	unify	VERB
ejpam-3757	63	10	all	all	DET
ejpam-3757	63	11	the	the	DET
ejpam-3757	63	12	previously	previously	ADV
ejpam-3757	63	13	mentioned	mention	VERB
ejpam-3757	63	14	special	special	ADJ
ejpam-3757	63	15	polynomials	polynomial	NOUN
ejpam-3757	63	16	using	use	VERB
ejpam-3757	63	17	a	a	DET
ejpam-3757	63	18	more	more	ADV
ejpam-3757	63	19	generalized	generalized	ADJ
ejpam-3757	63	20	generating	generating	NOUN
ejpam-3757	63	21	function	function	NOUN
ejpam-3757	63	22	.	.	PUNCT
ejpam-3757	64	1	2	2	X
ejpam-3757	64	2	.	.	X
ejpam-3757	64	3	a	a	DET
ejpam-3757	64	4	new	new	ADJ
ejpam-3757	64	5	class	class	NOUN
ejpam-3757	64	6	of	of	ADP
ejpam-3757	64	7	unified	unified	ADJ
ejpam-3757	64	8	generalized	generalized	ADJ
ejpam-3757	64	9	polynomials	polynomial	NOUN
ejpam-3757	64	10	of	of	ADP
ejpam-3757	64	11	higher	high	ADJ
ejpam-3757	64	12	order	order	NOUN
ejpam-3757	64	13	motivated	motivate	VERB
ejpam-3757	64	14	by	by	ADP
ejpam-3757	64	15	the	the	DET
ejpam-3757	64	16	generating	generating	NOUN
ejpam-3757	64	17	relations	relation	NOUN
ejpam-3757	64	18	(	(	PUNCT
ejpam-3757	64	19	1	1	NUM
ejpam-3757	64	20	)	)	PUNCT
ejpam-3757	64	21	,	,	PUNCT
ejpam-3757	64	22	(	(	PUNCT
ejpam-3757	64	23	2	2	NUM
ejpam-3757	64	24	)	)	PUNCT
ejpam-3757	64	25	,	,	PUNCT
ejpam-3757	64	26	and	and	CCONJ
ejpam-3757	64	27	the	the	DET
ejpam-3757	64	28	definitions	definition	NOUN
ejpam-3757	64	29	of	of	ADP
ejpam-3757	64	30	the	the	DET
ejpam-3757	64	31	higher	high	ADJ
ejpam-3757	64	32	order	order	NOUN
ejpam-3757	64	33	aposotol	aposotol	NOUN
ejpam-3757	64	34	-	-	PUNCT
ejpam-3757	64	35	type	type	NOUN
ejpam-3757	64	36	polynomials	polynomial	NOUN
ejpam-3757	64	37	of	of	ADP
ejpam-3757	64	38	parameters	parameter	NOUN
ejpam-3757	64	39	a	a	PRON
ejpam-3757	64	40	,	,	PUNCT
ejpam-3757	64	41	b	b	PROPN
ejpam-3757	64	42	,	,	PUNCT
ejpam-3757	64	43	c	c	AUX
ejpam-3757	64	44	,	,	PUNCT
ejpam-3757	64	45	we	we	PRON
ejpam-3757	64	46	consider	consider	VERB
ejpam-3757	64	47	the	the	DET
ejpam-3757	64	48	following	follow	VERB
ejpam-3757	64	49	unification	unification	NOUN
ejpam-3757	64	50	of	of	ADP
ejpam-3757	64	51	the	the	DET
ejpam-3757	64	52	generalized	generalized	ADJ
ejpam-3757	64	53	special	special	ADJ
ejpam-3757	64	54	types	type	NOUN
ejpam-3757	64	55	of	of	ADP
ejpam-3757	64	56	polynomials	polynomial	NOUN
ejpam-3757	64	57	mentioned	mention	VERB
ejpam-3757	64	58	in	in	ADP
ejpam-3757	64	59	the	the	DET
ejpam-3757	64	60	previous	previous	ADJ
ejpam-3757	64	61	section	section	NOUN
ejpam-3757	64	62	.	.	PUNCT
ejpam-3757	65	1	definition	definition	NOUN
ejpam-3757	65	2	1	1	NUM
ejpam-3757	65	3	.	.	PUNCT
ejpam-3757	66	1	let	let	VERB
ejpam-3757	66	2	a	a	DET
ejpam-3757	66	3	,	,	PUNCT
ejpam-3757	66	4	b	b	NOUN
ejpam-3757	66	5	,	,	PUNCT
ejpam-3757	66	6	c	c	NOUN
ejpam-3757	66	7	>	>	X
ejpam-3757	66	8	0	0	NUM
ejpam-3757	66	9	,	,	PUNCT
ejpam-3757	66	10	we	we	PRON
ejpam-3757	66	11	define	define	VERB
ejpam-3757	66	12	a	a	DET
ejpam-3757	66	13	unified	unified	ADJ
ejpam-3757	66	14	form	form	NOUN
ejpam-3757	66	15	of	of	ADP
ejpam-3757	66	16	generalized	generalized	ADJ
ejpam-3757	66	17	polynomials	polynomial	NOUN
ejpam-3757	66	18	f	f	X
ejpam-3757	66	19	(	(	PUNCT
ejpam-3757	66	20	α	α	NOUN
ejpam-3757	66	21	)	)	PUNCT
ejpam-3757	66	22	n	n	CCONJ
ejpam-3757	66	23	,	,	PUNCT
ejpam-3757	66	24	k(x	k(x	PROPN
ejpam-3757	66	25	,	,	PUNCT
ejpam-3757	66	26	y	y	PROPN
ejpam-3757	66	27	;	;	PUNCT
ejpam-3757	66	28	a	a	DET
ejpam-3757	66	29	,	,	PUNCT
ejpam-3757	66	30	b	b	NOUN
ejpam-3757	66	31	,	,	PUNCT
ejpam-3757	66	32	c;λ	c;λ	NUM
ejpam-3757	66	33	)	)	PUNCT
ejpam-3757	66	34	by	by	ADP
ejpam-3757	66	35	means	mean	NOUN
ejpam-3757	66	36	of	of	ADP
ejpam-3757	66	37	the	the	DET
ejpam-3757	66	38	generating	generate	VERB
ejpam-3757	66	39	function	function	PROPN
ejpam-3757	66	40	a−ttk	a−ttk	PROPN
ejpam-3757	67	1	1−	1−	NUM
ejpam-3757	68	1	y	y	PROPN
ejpam-3757	68	2	(	(	PUNCT
ejpam-3757	68	3	λ	λ	X
ejpam-3757	68	4	(	(	PUNCT
ejpam-3757	68	5	b	b	PROPN
ejpam-3757	68	6	a	a	NOUN
ejpam-3757	68	7	)	)	PUNCT
ejpam-3757	68	8	t	t	NOUN
ejpam-3757	68	9	−	−	NOUN
ejpam-3757	68	10	1	1	NUM
ejpam-3757	68	11	)	)	PUNCT
ejpam-3757	68	12	α	α	PROPN
ejpam-3757	68	13	cxt	cxt	NOUN
ejpam-3757	68	14	=	=	PUNCT
ejpam-3757	69	1	∞∑	∞∑	NUM
ejpam-3757	69	2	n=0	n=0	NUM
ejpam-3757	69	3	f	f	X
ejpam-3757	69	4	(	(	PUNCT
ejpam-3757	69	5	α	α	NOUN
ejpam-3757	69	6	)	)	PUNCT
ejpam-3757	69	7	n	n	CCONJ
ejpam-3757	69	8	,	,	PUNCT
ejpam-3757	69	9	k(x	k(x	PROPN
ejpam-3757	69	10	,	,	PUNCT
ejpam-3757	69	11	y	y	PROPN
ejpam-3757	69	12	;	;	PUNCT
ejpam-3757	69	13	a	a	DET
ejpam-3757	69	14	,	,	PUNCT
ejpam-3757	69	15	b	b	NOUN
ejpam-3757	69	16	,	,	PUNCT
ejpam-3757	69	17	c;λ	c;λ	NUM
ejpam-3757	69	18	)	)	PUNCT
ejpam-3757	69	19	tn	tn	NOUN
ejpam-3757	69	20	n	n	PROPN
ejpam-3757	69	21	!	!	PROPN
ejpam-3757	69	22	,	,	PUNCT
ejpam-3757	69	23	(	(	PUNCT
ejpam-3757	69	24	3	3	X
ejpam-3757	69	25	)	)	PUNCT
ejpam-3757	69	26	(	(	PUNCT
ejpam-3757	69	27	∣∣∣∣t	∣∣∣∣t	NOUN
ejpam-3757	69	28	ln	ln	NOUN
ejpam-3757	69	29	(	(	PUNCT
ejpam-3757	69	30	b	b	PROPN
ejpam-3757	69	31	a	a	NOUN
ejpam-3757	69	32	)	)	PUNCT
ejpam-3757	70	1	+	+	CCONJ
ejpam-3757	70	2	ln	ln	X
ejpam-3757	70	3	(	(	PUNCT
ejpam-3757	70	4	λy	λy	PROPN
ejpam-3757	70	5	y	y	PROPN
ejpam-3757	70	6	+	+	CCONJ
ejpam-3757	70	7	1	1	NUM
ejpam-3757	70	8	)	)	PUNCT
ejpam-3757	70	9	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3757	70	10	<	<	NOUN
ejpam-3757	70	11	2π;α	2π;α	NUM
ejpam-3757	70	12	∈	∈	NOUN
ejpam-3757	70	13	c	c	NOUN
ejpam-3757	70	14	;	;	PUNCT
ejpam-3757	70	15	a	a	DET
ejpam-3757	70	16	,	,	PUNCT
ejpam-3757	70	17	b	b	NOUN
ejpam-3757	70	18	,	,	PUNCT
ejpam-3757	70	19	c	c	PROPN
ejpam-3757	70	20	∈	∈	PROPN
ejpam-3757	70	21	r+;x	r+;x	PROPN
ejpam-3757	70	22	,	,	PUNCT
ejpam-3757	70	23	y	y	PROPN
ejpam-3757	70	24	∈	∈	PROPN
ejpam-3757	70	25	r	r	PROPN
ejpam-3757	70	26	,	,	PUNCT
ejpam-3757	70	27	k	k	PROPN
ejpam-3757	70	28	∈	∈	PROPN
ejpam-3757	70	29	n0	n0	PROPN
ejpam-3757	70	30	;	;	PUNCT
ejpam-3757	70	31	1α	1α	NUM
ejpam-3757	70	32	:	:	PUNCT
ejpam-3757	70	33	=	=	SYM
ejpam-3757	70	34	1	1	X
ejpam-3757	70	35	)	)	PUNCT
ejpam-3757	70	36	.	.	PUNCT
ejpam-3757	71	1	setting	set	VERB
ejpam-3757	71	2	a	a	DET
ejpam-3757	71	3	=	=	SYM
ejpam-3757	71	4	1	1	NUM
ejpam-3757	71	5	,	,	PUNCT
ejpam-3757	71	6	b	b	NOUN
ejpam-3757	71	7	=	=	SYM
ejpam-3757	71	8	e	e	PROPN
ejpam-3757	71	9	and	and	CCONJ
ejpam-3757	71	10	c	c	NOUN
ejpam-3757	71	11	=	=	SYM
ejpam-3757	71	12	e	e	X
ejpam-3757	71	13	in	in	ADP
ejpam-3757	71	14	(	(	PUNCT
ejpam-3757	71	15	3	3	NUM
ejpam-3757	71	16	)	)	PUNCT
ejpam-3757	71	17	,	,	PUNCT
ejpam-3757	71	18	we	we	PRON
ejpam-3757	71	19	obtain	obtain	VERB
ejpam-3757	71	20	new	new	ADJ
ejpam-3757	71	21	generalized	generalized	ADJ
ejpam-3757	71	22	fubini	fubini	ADJ
ejpam-3757	71	23	-	-	PUNCT
ejpam-3757	71	24	type	type	NOUN
ejpam-3757	71	25	polynomials	polynomial	NOUN
ejpam-3757	71	26	f	f	X
ejpam-3757	71	27	(	(	PUNCT
ejpam-3757	71	28	α	α	NOUN
ejpam-3757	71	29	)	)	PUNCT
ejpam-3757	71	30	n	n	CCONJ
ejpam-3757	71	31	,	,	PUNCT
ejpam-3757	71	32	k	k	PROPN
ejpam-3757	71	33	(	(	PUNCT
ejpam-3757	71	34	x	x	NOUN
ejpam-3757	71	35	,	,	PUNCT
ejpam-3757	71	36	y;λ	y;λ	PROPN
ejpam-3757	71	37	)	)	PUNCT
ejpam-3757	71	38	given	give	VERB
ejpam-3757	71	39	by	by	ADP
ejpam-3757	71	40	the	the	DET
ejpam-3757	71	41	following	follow	VERB
ejpam-3757	71	42	generating	generate	VERB
ejpam-3757	71	43	function	function	NOUN
ejpam-3757	71	44	(	(	PUNCT
ejpam-3757	71	45	tk	tk	PROPN
ejpam-3757	71	46	1−	1−	NUM
ejpam-3757	71	47	y	y	PROPN
ejpam-3757	71	48	(	(	PUNCT
ejpam-3757	71	49	λet	λet	NOUN
ejpam-3757	71	50	−	−	PROPN
ejpam-3757	71	51	1	1	NUM
ejpam-3757	71	52	)	)	PUNCT
ejpam-3757	71	53	)	)	PUNCT
ejpam-3757	72	1	α	α	PRON
ejpam-3757	72	2	ext	ext	NOUN
ejpam-3757	72	3	=	=	PUNCT
ejpam-3757	73	1	∞∑	∞∑	NUM
ejpam-3757	73	2	n=0	n=0	NUM
ejpam-3757	73	3	f	f	NOUN
ejpam-3757	73	4	(	(	PUNCT
ejpam-3757	73	5	α	α	NOUN
ejpam-3757	73	6	)	)	PUNCT
ejpam-3757	73	7	n	n	CCONJ
ejpam-3757	73	8	,	,	PUNCT
ejpam-3757	73	9	k	k	PROPN
ejpam-3757	73	10	(	(	PUNCT
ejpam-3757	73	11	x	x	NOUN
ejpam-3757	73	12	,	,	PUNCT
ejpam-3757	73	13	y;λ	y;λ	PROPN
ejpam-3757	73	14	)	)	PUNCT
ejpam-3757	73	15	tn	tn	PROPN
ejpam-3757	73	16	n	n	PROPN
ejpam-3757	73	17	!	!	PUNCT
ejpam-3757	73	18	.	.	PUNCT
ejpam-3757	74	1	(	(	PUNCT
ejpam-3757	74	2	4	4	X
ejpam-3757	74	3	)	)	PUNCT
ejpam-3757	74	4	taking	take	VERB
ejpam-3757	74	5	k	k	X
ejpam-3757	74	6	=	=	PUNCT
ejpam-3757	74	7	0	0	PROPN
ejpam-3757	74	8	,	,	PUNCT
ejpam-3757	74	9	f	f	PROPN
ejpam-3757	74	10	(	(	PUNCT
ejpam-3757	74	11	α	α	NOUN
ejpam-3757	74	12	)	)	PUNCT
ejpam-3757	74	13	n,0	n,0	NOUN
ejpam-3757	74	14	(	(	PUNCT
ejpam-3757	74	15	x	x	NOUN
ejpam-3757	74	16	,	,	PUNCT
ejpam-3757	74	17	y;λ	y;λ	PROPN
ejpam-3757	74	18	)	)	PUNCT
ejpam-3757	74	19	:	:	PUNCT
ejpam-3757	75	1	=	=	SYM
ejpam-3757	75	2	f	f	X
ejpam-3757	75	3	(	(	PUNCT
ejpam-3757	75	4	α	α	NOUN
ejpam-3757	75	5	)	)	PUNCT
ejpam-3757	75	6	n	n	PROPN
ejpam-3757	75	7	(	(	PUNCT
ejpam-3757	75	8	x	x	NOUN
ejpam-3757	75	9	,	,	PUNCT
ejpam-3757	75	10	y;λ	y;λ	PROPN
ejpam-3757	75	11	)	)	PUNCT
ejpam-3757	75	12	,	,	PUNCT
ejpam-3757	75	13	where	where	SCONJ
ejpam-3757	75	14	(	(	PUNCT
ejpam-3757	75	15	1	1	NUM
ejpam-3757	75	16	1−	1−	NUM
ejpam-3757	75	17	y	y	NOUN
ejpam-3757	75	18	(	(	PUNCT
ejpam-3757	75	19	λet	λet	NOUN
ejpam-3757	75	20	−	−	PROPN
ejpam-3757	75	21	1	1	NUM
ejpam-3757	75	22	)	)	PUNCT
ejpam-3757	75	23	)	)	PUNCT
ejpam-3757	75	24	α	α	PRON
ejpam-3757	75	25	ext	ext	NOUN
ejpam-3757	75	26	=	=	PUNCT
ejpam-3757	76	1	∞∑	∞∑	NUM
ejpam-3757	76	2	n=0	n=0	NUM
ejpam-3757	76	3	f	f	NOUN
ejpam-3757	76	4	(	(	PUNCT
ejpam-3757	76	5	α	α	NOUN
ejpam-3757	76	6	)	)	PUNCT
ejpam-3757	76	7	n	n	PROPN
ejpam-3757	76	8	(	(	PUNCT
ejpam-3757	76	9	x	x	NOUN
ejpam-3757	76	10	,	,	PUNCT
ejpam-3757	76	11	y;λ	y;λ	PROPN
ejpam-3757	76	12	)	)	PUNCT
ejpam-3757	76	13	tn	tn	PROPN
ejpam-3757	76	14	n	n	PROPN
ejpam-3757	76	15	!	!	PUNCT
ejpam-3757	76	16	.	.	PUNCT
ejpam-3757	77	1	(	(	PUNCT
ejpam-3757	77	2	5	5	X
ejpam-3757	77	3	)	)	PUNCT
ejpam-3757	77	4	we	we	PRON
ejpam-3757	77	5	call	call	VERB
ejpam-3757	77	6	f	f	PROPN
ejpam-3757	77	7	(	(	PUNCT
ejpam-3757	77	8	α	α	NOUN
ejpam-3757	77	9	)	)	PUNCT
ejpam-3757	77	10	n	n	PROPN
ejpam-3757	77	11	(	(	PUNCT
ejpam-3757	77	12	x	x	NOUN
ejpam-3757	77	13	,	,	PUNCT
ejpam-3757	77	14	y;λ	y;λ	PROPN
ejpam-3757	77	15	)	)	PUNCT
ejpam-3757	77	16	as	as	ADP
ejpam-3757	77	17	the	the	DET
ejpam-3757	77	18	bivariate	bivariate	ADJ
ejpam-3757	77	19	apostol	apostol	NOUN
ejpam-3757	77	20	-	-	PUNCT
ejpam-3757	77	21	fubini	fubini	ADJ
ejpam-3757	77	22	polynomials	polynomial	NOUN
ejpam-3757	77	23	of	of	ADP
ejpam-3757	77	24	order	order	NOUN
ejpam-3757	77	25	α	α	NOUN
ejpam-3757	77	26	.	.	PUNCT
ejpam-3757	78	1	setting	set	VERB
ejpam-3757	78	2	λ	λ	NOUN
ejpam-3757	78	3	=	=	SYM
ejpam-3757	78	4	1	1	NUM
ejpam-3757	78	5	in	in	ADP
ejpam-3757	78	6	(	(	PUNCT
ejpam-3757	78	7	5	5	NUM
ejpam-3757	78	8	)	)	PUNCT
ejpam-3757	78	9	,	,	PUNCT
ejpam-3757	78	10	we	we	PRON
ejpam-3757	78	11	get	get	VERB
ejpam-3757	78	12	the	the	DET
ejpam-3757	78	13	two	two	NUM
ejpam-3757	78	14	-	-	PUNCT
ejpam-3757	78	15	variable	variable	ADJ
ejpam-3757	78	16	fubini	fubini	ADJ
ejpam-3757	78	17	polynomials	polynomial	NOUN
ejpam-3757	78	18	of	of	ADP
ejpam-3757	78	19	higher	high	ADJ
ejpam-3757	78	20	order	order	NOUN
ejpam-3757	78	21	f	f	X
ejpam-3757	78	22	(	(	PUNCT
ejpam-3757	78	23	α	α	NOUN
ejpam-3757	78	24	)	)	PUNCT
ejpam-3757	78	25	n	n	PROPN
ejpam-3757	78	26	(	(	PUNCT
ejpam-3757	78	27	x	x	NOUN
ejpam-3757	78	28	,	,	PUNCT
ejpam-3757	78	29	y	y	NOUN
ejpam-3757	78	30	)	)	PUNCT
ejpam-3757	78	31	given	give	VERB
ejpam-3757	78	32	in	in	ADP
ejpam-3757	78	33	(	(	PUNCT
ejpam-3757	78	34	1	1	NUM
ejpam-3757	78	35	)	)	PUNCT
ejpam-3757	78	36	.	.	PUNCT
ejpam-3757	79	1	n.	n.	PROPN
ejpam-3757	79	2	g.	g.	PROPN
ejpam-3757	79	3	acala	acala	PROPN
ejpam-3757	79	4	/	/	SYM
ejpam-3757	79	5	eur	eur	PROPN
ejpam-3757	79	6	.	.	PUNCT
ejpam-3757	80	1	j.	j.	PROPN
ejpam-3757	80	2	pure	pure	PROPN
ejpam-3757	80	3	appl	appl	PROPN
ejpam-3757	80	4	.	.	PROPN
ejpam-3757	80	5	math	math	PROPN
ejpam-3757	80	6	,	,	PUNCT
ejpam-3757	80	7	13	13	NUM
ejpam-3757	80	8	(	(	PUNCT
ejpam-3757	80	9	3	3	NUM
ejpam-3757	80	10	)	)	PUNCT
ejpam-3757	80	11	(	(	PUNCT
ejpam-3757	80	12	2020	2020	NUM
ejpam-3757	80	13	)	)	PUNCT
ejpam-3757	80	14	,	,	PUNCT
ejpam-3757	80	15	587	587	NUM
ejpam-3757	80	16	-	-	SYM
ejpam-3757	80	17	607	607	NUM
ejpam-3757	80	18	591	591	NUM
ejpam-3757	80	19	remark	remark	NOUN
ejpam-3757	80	20	1	1	NUM
ejpam-3757	80	21	.	.	PUNCT
ejpam-3757	80	22	setting	set	VERB
ejpam-3757	80	23	y	y	PROPN
ejpam-3757	80	24	=	=	PUNCT
ejpam-3757	80	25	−1	−1	NOUN
ejpam-3757	80	26	2	2	NUM
ejpam-3757	80	27	and	and	CCONJ
ejpam-3757	80	28	k	k	NOUN
ejpam-3757	81	1	=	=	SYM
ejpam-3757	81	2	0	0	NUM
ejpam-3757	81	3	in	in	ADP
ejpam-3757	81	4	(	(	PUNCT
ejpam-3757	81	5	3	3	NUM
ejpam-3757	81	6	)	)	PUNCT
ejpam-3757	81	7	,	,	PUNCT
ejpam-3757	81	8	we	we	PRON
ejpam-3757	81	9	obtain	obtain	VERB
ejpam-3757	81	10	f	f	PROPN
ejpam-3757	81	11	(	(	PUNCT
ejpam-3757	81	12	α	α	NOUN
ejpam-3757	81	13	)	)	PUNCT
ejpam-3757	81	14	n,0	n,0	NOUN
ejpam-3757	82	1	(	(	PUNCT
ejpam-3757	82	2	x,−1	x,−1	PROPN
ejpam-3757	82	3	2	2	NUM
ejpam-3757	82	4	;	;	PUNCT
ejpam-3757	82	5	a	a	DET
ejpam-3757	82	6	,	,	PUNCT
ejpam-3757	82	7	b	b	NOUN
ejpam-3757	82	8	,	,	PUNCT
ejpam-3757	82	9	c;λ	c;λ	NUM
ejpam-3757	82	10	)	)	PUNCT
ejpam-3757	82	11	=	=	SYM
ejpam-3757	82	12	e(α	e(α	PROPN
ejpam-3757	82	13	)	)	PUNCT
ejpam-3757	82	14	n	n	CCONJ
ejpam-3757	82	15	(	(	PUNCT
ejpam-3757	82	16	x	x	X
ejpam-3757	82	17	;	;	PUNCT
ejpam-3757	82	18	a	a	DET
ejpam-3757	82	19	,	,	PUNCT
ejpam-3757	82	20	b	b	NOUN
ejpam-3757	82	21	,	,	PUNCT
ejpam-3757	82	22	c;λ	c;λ	NUM
ejpam-3757	82	23	)	)	PUNCT
ejpam-3757	82	24	.	.	PUNCT
ejpam-3757	83	1	remark	remark	PROPN
ejpam-3757	83	2	2	2	NUM
ejpam-3757	83	3	.	.	PUNCT
ejpam-3757	84	1	setting	set	VERB
ejpam-3757	84	2	y	y	PROPN
ejpam-3757	84	3	=	=	PUNCT
ejpam-3757	84	4	−1	−1	NOUN
ejpam-3757	84	5	2	2	NUM
ejpam-3757	84	6	and	and	CCONJ
ejpam-3757	84	7	k	k	NOUN
ejpam-3757	84	8	=	=	SYM
ejpam-3757	84	9	1	1	NUM
ejpam-3757	84	10	in	in	ADP
ejpam-3757	84	11	(	(	PUNCT
ejpam-3757	84	12	3	3	NUM
ejpam-3757	84	13	)	)	PUNCT
ejpam-3757	84	14	,	,	PUNCT
ejpam-3757	84	15	we	we	PRON
ejpam-3757	84	16	have	have	VERB
ejpam-3757	84	17	f	f	PROPN
ejpam-3757	84	18	(	(	PUNCT
ejpam-3757	84	19	α	α	NOUN
ejpam-3757	84	20	)	)	PUNCT
ejpam-3757	84	21	n,1	n,1	NOUN
ejpam-3757	85	1	(	(	PUNCT
ejpam-3757	85	2	x,−1	x,−1	PROPN
ejpam-3757	85	3	2	2	NUM
ejpam-3757	85	4	;	;	PUNCT
ejpam-3757	85	5	a	a	DET
ejpam-3757	85	6	,	,	PUNCT
ejpam-3757	85	7	b	b	NOUN
ejpam-3757	85	8	,	,	PUNCT
ejpam-3757	85	9	c;λ	c;λ	NUM
ejpam-3757	85	10	)	)	PUNCT
ejpam-3757	85	11	=	=	SYM
ejpam-3757	85	12	g(α	g(α	PROPN
ejpam-3757	85	13	)	)	PUNCT
ejpam-3757	85	14	n	n	CCONJ
ejpam-3757	85	15	(	(	PUNCT
ejpam-3757	85	16	x	x	X
ejpam-3757	85	17	;	;	PUNCT
ejpam-3757	85	18	a	a	DET
ejpam-3757	85	19	,	,	PUNCT
ejpam-3757	85	20	b	b	NOUN
ejpam-3757	85	21	,	,	PUNCT
ejpam-3757	85	22	c;λ	c;λ	NUM
ejpam-3757	85	23	)	)	PUNCT
ejpam-3757	85	24	.	.	PUNCT
ejpam-3757	86	1	remark	remark	PROPN
ejpam-3757	86	2	3	3	NUM
ejpam-3757	86	3	.	.	PUNCT
ejpam-3757	87	1	setting	set	VERB
ejpam-3757	87	2	y	y	PROPN
ejpam-3757	87	3	=	=	PUNCT
ejpam-3757	87	4	−2	−2	PROPN
ejpam-3757	87	5	and	and	CCONJ
ejpam-3757	87	6	k	k	NOUN
ejpam-3757	87	7	=	=	SYM
ejpam-3757	87	8	1	1	NUM
ejpam-3757	87	9	,	,	PUNCT
ejpam-3757	87	10	and	and	CCONJ
ejpam-3757	87	11	replacing	replace	VERB
ejpam-3757	87	12	λ	λ	PROPN
ejpam-3757	87	13	by	by	ADP
ejpam-3757	87	14	λ	λ	PROPN
ejpam-3757	87	15	2	2	NUM
ejpam-3757	87	16	in	in	ADP
ejpam-3757	87	17	(	(	PUNCT
ejpam-3757	87	18	3	3	NUM
ejpam-3757	87	19	)	)	PUNCT
ejpam-3757	87	20	,	,	PUNCT
ejpam-3757	87	21	we	we	PRON
ejpam-3757	87	22	get	get	VERB
ejpam-3757	87	23	f	f	PROPN
ejpam-3757	87	24	(	(	PUNCT
ejpam-3757	87	25	α	α	NOUN
ejpam-3757	87	26	)	)	PUNCT
ejpam-3757	87	27	n,1	n,1	NOUN
ejpam-3757	87	28	(	(	PUNCT
ejpam-3757	87	29	x,−2	x,−2	PROPN
ejpam-3757	87	30	;	;	PUNCT
ejpam-3757	87	31	a	a	DET
ejpam-3757	87	32	,	,	PUNCT
ejpam-3757	87	33	b	b	NOUN
ejpam-3757	87	34	,	,	PUNCT
ejpam-3757	87	35	c	c	X
ejpam-3757	87	36	;	;	PUNCT
ejpam-3757	87	37	λ	λ	X
ejpam-3757	87	38	2	2	NUM
ejpam-3757	87	39	)	)	PUNCT
ejpam-3757	87	40	=	=	SYM
ejpam-3757	87	41	b(α	b(α	NOUN
ejpam-3757	87	42	)	)	PUNCT
ejpam-3757	87	43	n	n	CCONJ
ejpam-3757	87	44	(	(	PUNCT
ejpam-3757	87	45	x	x	X
ejpam-3757	87	46	;	;	PUNCT
ejpam-3757	87	47	a	a	DET
ejpam-3757	87	48	,	,	PUNCT
ejpam-3757	87	49	b	b	NOUN
ejpam-3757	87	50	,	,	PUNCT
ejpam-3757	87	51	c;λ	c;λ	NUM
ejpam-3757	87	52	)	)	PUNCT
ejpam-3757	87	53	.	.	PUNCT
ejpam-3757	88	1	remark	remark	PROPN
ejpam-3757	88	2	4	4	NUM
ejpam-3757	88	3	.	.	PUNCT
ejpam-3757	89	1	setting	set	VERB
ejpam-3757	89	2	a	a	DET
ejpam-3757	89	3	=	=	SYM
ejpam-3757	89	4	1	1	NUM
ejpam-3757	89	5	,	,	PUNCT
ejpam-3757	89	6	b	b	NOUN
ejpam-3757	89	7	=	=	SYM
ejpam-3757	89	8	c	c	NOUN
ejpam-3757	89	9	=	=	SYM
ejpam-3757	89	10	e	e	PROPN
ejpam-3757	89	11	,	,	PUNCT
ejpam-3757	89	12	α	α	NOUN
ejpam-3757	89	13	=	=	SYM
ejpam-3757	89	14	1	1	NUM
ejpam-3757	89	15	,	,	PUNCT
ejpam-3757	89	16	y	y	PROPN
ejpam-3757	89	17	=	=	SYM
ejpam-3757	89	18	−(2k−1u+1	−(2k−1u+1	NUM
ejpam-3757	89	19	)	)	PUNCT
ejpam-3757	89	20	,	,	PUNCT
ejpam-3757	89	21	and	and	CCONJ
ejpam-3757	89	22	λ	λ	X
ejpam-3757	89	23	=	=	NOUN
ejpam-3757	89	24	2k−1	2k−1	NUM
ejpam-3757	89	25	2k−1u+1	2k−1u+1	NUM
ejpam-3757	89	26	(	(	PUNCT
ejpam-3757	89	27	u	u	NOUN
ejpam-3757	89	28	6=	6=	PROPN
ejpam-3757	89	29	0	0	NUM
ejpam-3757	89	30	)	)	PUNCT
ejpam-3757	89	31	;	;	PUNCT
ejpam-3757	89	32	we	we	PRON
ejpam-3757	89	33	obtain	obtain	VERB
ejpam-3757	89	34	f	f	X
ejpam-3757	89	35	(	(	PUNCT
ejpam-3757	89	36	1	1	NUM
ejpam-3757	89	37	)	)	PUNCT
ejpam-3757	89	38	n	n	CCONJ
ejpam-3757	89	39	,	,	PUNCT
ejpam-3757	89	40	k	k	PROPN
ejpam-3757	89	41	(	(	PUNCT
ejpam-3757	89	42	x,−(2k−1u+	x,−(2k−1u+	PROPN
ejpam-3757	89	43	1	1	NUM
ejpam-3757	89	44	)	)	PUNCT
ejpam-3757	89	45	;	;	PUNCT
ejpam-3757	89	46	1	1	NUM
ejpam-3757	89	47	,	,	PUNCT
ejpam-3757	89	48	e	e	NOUN
ejpam-3757	89	49	,	,	PUNCT
ejpam-3757	89	50	e	e	NOUN
ejpam-3757	89	51	;	;	PUNCT
ejpam-3757	89	52	2k−1	2k−1	NUM
ejpam-3757	89	53	2k−1u+	2k−1u+	NUM
ejpam-3757	89	54	1	1	NUM
ejpam-3757	89	55	)	)	PUNCT
ejpam-3757	89	56	=	=	VERB
ejpam-3757	89	57	dn(x;u	dn(x;u	PROPN
ejpam-3757	89	58	,	,	PUNCT
ejpam-3757	89	59	k	k	PROPN
ejpam-3757	89	60	)	)	PUNCT
ejpam-3757	89	61	.	.	PUNCT
ejpam-3757	90	1	remark	remark	PROPN
ejpam-3757	90	2	5	5	NUM
ejpam-3757	90	3	.	.	PUNCT
ejpam-3757	91	1	let	let	VERB
ejpam-3757	91	2	a	a	DET
ejpam-3757	91	3	,	,	PUNCT
ejpam-3757	91	4	b	b	NOUN
ejpam-3757	91	5	,	,	PUNCT
ejpam-3757	91	6	β	β	X
ejpam-3757	91	7	be	be	VERB
ejpam-3757	91	8	the	the	DET
ejpam-3757	91	9	parameters	parameter	NOUN
ejpam-3757	91	10	used	use	VERB
ejpam-3757	91	11	in	in	ADP
ejpam-3757	91	12	(	(	PUNCT
ejpam-3757	91	13	2	2	NUM
ejpam-3757	91	14	)	)	PUNCT
ejpam-3757	91	15	.	.	PUNCT
ejpam-3757	92	1	setting	set	VERB
ejpam-3757	92	2	y	y	NOUN
ejpam-3757	92	3	=	=	PUNCT
ejpam-3757	92	4	−(2k−1ab	−(2k−1ab	PROPN
ejpam-3757	92	5	+	+	NOUN
ejpam-3757	92	6	1	1	NUM
ejpam-3757	92	7	)	)	PUNCT
ejpam-3757	92	8	and	and	CCONJ
ejpam-3757	92	9	λ	λ	X
ejpam-3757	92	10	=	=	SYM
ejpam-3757	92	11	2k−1βb	2k−1βb	PROPN
ejpam-3757	92	12	2k−1ab+1	2k−1ab+1	NUM
ejpam-3757	92	13	in	in	ADP
ejpam-3757	92	14	(	(	PUNCT
ejpam-3757	92	15	4	4	NUM
ejpam-3757	92	16	)	)	PUNCT
ejpam-3757	92	17	,	,	PUNCT
ejpam-3757	92	18	we	we	PRON
ejpam-3757	92	19	obtain	obtain	VERB
ejpam-3757	92	20	,	,	PUNCT
ejpam-3757	92	21	f	f	PROPN
ejpam-3757	92	22	(	(	PUNCT
ejpam-3757	92	23	α	α	NOUN
ejpam-3757	92	24	)	)	PUNCT
ejpam-3757	92	25	n	n	CCONJ
ejpam-3757	92	26	,	,	PUNCT
ejpam-3757	92	27	k	k	PROPN
ejpam-3757	92	28	(	(	PUNCT
ejpam-3757	92	29	x,−(2k−1ab	x,−(2k−1ab	PROPN
ejpam-3757	92	30	+	+	CCONJ
ejpam-3757	92	31	1	1	NUM
ejpam-3757	92	32	)	)	PUNCT
ejpam-3757	92	33	;	;	PUNCT
ejpam-3757	93	1	2k−1βb	2k−1βb	PROPN
ejpam-3757	93	2	2k−1ab	2k−1ab	PROPN
ejpam-3757	93	3	+	+	CCONJ
ejpam-3757	93	4	1	1	NUM
ejpam-3757	93	5	)	)	PUNCT
ejpam-3757	93	6	=	=	SYM
ejpam-3757	93	7	f	f	PROPN
ejpam-3757	93	8	(	(	PUNCT
ejpam-3757	93	9	α	α	NOUN
ejpam-3757	93	10	)	)	PUNCT
ejpam-3757	93	11	n	n	CCONJ
ejpam-3757	93	12	,	,	PUNCT
ejpam-3757	93	13	k	k	PROPN
ejpam-3757	93	14	(	(	PUNCT
ejpam-3757	93	15	x,−(2k−1ab	x,−(2k−1ab	PROPN
ejpam-3757	93	16	+	+	CCONJ
ejpam-3757	93	17	1	1	NUM
ejpam-3757	93	18	)	)	PUNCT
ejpam-3757	93	19	;	;	PUNCT
ejpam-3757	93	20	1	1	NUM
ejpam-3757	93	21	,	,	PUNCT
ejpam-3757	93	22	e	e	NOUN
ejpam-3757	93	23	,	,	PUNCT
ejpam-3757	93	24	e	e	NOUN
ejpam-3757	93	25	;	;	PUNCT
ejpam-3757	93	26	2k−1βb	2k−1βb	PROPN
ejpam-3757	93	27	2k−1ab	2k−1ab	PROPN
ejpam-3757	93	28	+	+	CCONJ
ejpam-3757	93	29	1	1	NUM
ejpam-3757	93	30	)	)	PUNCT
ejpam-3757	93	31	=	=	SYM
ejpam-3757	94	1	p	p	X
ejpam-3757	94	2	(	(	PUNCT
ejpam-3757	94	3	α	α	NOUN
ejpam-3757	94	4	)	)	PUNCT
ejpam-3757	94	5	n	n	CCONJ
ejpam-3757	94	6	,	,	PUNCT
ejpam-3757	94	7	β	β	X
ejpam-3757	94	8	(	(	PUNCT
ejpam-3757	94	9	x	x	X
ejpam-3757	94	10	;	;	PUNCT
ejpam-3757	94	11	k	k	X
ejpam-3757	94	12	,	,	PUNCT
ejpam-3757	94	13	a	a	DET
ejpam-3757	94	14	,	,	PUNCT
ejpam-3757	94	15	b	b	NOUN
ejpam-3757	94	16	)	)	PUNCT
ejpam-3757	94	17	.	.	PUNCT
ejpam-3757	95	1	some	some	PRON
ejpam-3757	95	2	of	of	ADP
ejpam-3757	95	3	the	the	DET
ejpam-3757	95	4	basic	basic	ADJ
ejpam-3757	95	5	properties	property	NOUN
ejpam-3757	95	6	and	and	CCONJ
ejpam-3757	95	7	identities	identity	NOUN
ejpam-3757	95	8	for	for	ADP
ejpam-3757	95	9	f	f	PROPN
ejpam-3757	95	10	(	(	PUNCT
ejpam-3757	95	11	α	α	NOUN
ejpam-3757	95	12	)	)	PUNCT
ejpam-3757	95	13	n	n	CCONJ
ejpam-3757	95	14	,	,	PUNCT
ejpam-3757	95	15	k(x	k(x	PROPN
ejpam-3757	95	16	,	,	PUNCT
ejpam-3757	95	17	y	y	PROPN
ejpam-3757	95	18	;	;	PUNCT
ejpam-3757	95	19	a	a	DET
ejpam-3757	95	20	,	,	PUNCT
ejpam-3757	95	21	b	b	NOUN
ejpam-3757	95	22	,	,	PUNCT
ejpam-3757	95	23	c;λ	c;λ	NUM
ejpam-3757	95	24	)	)	PUNCT
ejpam-3757	95	25	are	be	AUX
ejpam-3757	95	26	given	give	VERB
ejpam-3757	95	27	in	in	ADP
ejpam-3757	95	28	the	the	DET
ejpam-3757	95	29	next	next	ADJ
ejpam-3757	95	30	theorems	theorem	NOUN
ejpam-3757	95	31	and	and	CCONJ
ejpam-3757	95	32	corollaries	corollary	NOUN
ejpam-3757	95	33	.	.	PUNCT
ejpam-3757	96	1	the	the	DET
ejpam-3757	96	2	following	follow	VERB
ejpam-3757	96	3	addition	addition	NOUN
ejpam-3757	96	4	formulas	formula	NOUN
ejpam-3757	96	5	are	be	AUX
ejpam-3757	96	6	straighforward	straighforward	ADJ
ejpam-3757	96	7	consequences	consequence	NOUN
ejpam-3757	96	8	of	of	ADP
ejpam-3757	96	9	relation	relation	NOUN
ejpam-3757	96	10	(	(	PUNCT
ejpam-3757	96	11	3	3	NUM
ejpam-3757	96	12	)	)	PUNCT
ejpam-3757	96	13	.	.	PUNCT
ejpam-3757	97	1	theorem	theorem	NOUN
ejpam-3757	97	2	1	1	NUM
ejpam-3757	97	3	.	.	PUNCT
ejpam-3757	97	4	for	for	ADP
ejpam-3757	97	5	α	α	PROPN
ejpam-3757	97	6	,	,	PUNCT
ejpam-3757	97	7	β	β	X
ejpam-3757	97	8	,	,	PUNCT
ejpam-3757	97	9	λ	λ	PROPN
ejpam-3757	97	10	∈	∈	PROPN
ejpam-3757	97	11	c	c	NOUN
ejpam-3757	97	12	and	and	CCONJ
ejpam-3757	97	13	x	x	NOUN
ejpam-3757	97	14	,	,	PUNCT
ejpam-3757	97	15	z	z	PROPN
ejpam-3757	97	16	∈	∈	PROPN
ejpam-3757	97	17	r	r	NOUN
ejpam-3757	97	18	,	,	PUNCT
ejpam-3757	97	19	we	we	PRON
ejpam-3757	97	20	have	have	VERB
ejpam-3757	97	21	f	f	PROPN
ejpam-3757	97	22	(	(	PUNCT
ejpam-3757	97	23	α	α	NOUN
ejpam-3757	97	24	)	)	PUNCT
ejpam-3757	97	25	n	n	CCONJ
ejpam-3757	97	26	,	,	PUNCT
ejpam-3757	97	27	k(x+	k(x+	PROPN
ejpam-3757	97	28	z	z	PROPN
ejpam-3757	97	29	,	,	PUNCT
ejpam-3757	97	30	y	y	PROPN
ejpam-3757	97	31	;	;	PUNCT
ejpam-3757	97	32	a	a	DET
ejpam-3757	97	33	,	,	PUNCT
ejpam-3757	97	34	b	b	NOUN
ejpam-3757	97	35	,	,	PUNCT
ejpam-3757	97	36	c;λ	c;λ	NUM
ejpam-3757	97	37	)	)	PUNCT
ejpam-3757	98	1	=	=	SYM
ejpam-3757	98	2	n∑	n∑	X
ejpam-3757	98	3	j=0	j=0	PROPN
ejpam-3757	98	4	(	(	PUNCT
ejpam-3757	98	5	n	n	X
ejpam-3757	98	6	j	j	NOUN
ejpam-3757	98	7	)	)	PUNCT
ejpam-3757	98	8	(	(	PUNCT
ejpam-3757	98	9	ln	ln	NOUN
ejpam-3757	98	10	c)n−jf	c)n−jf	X
ejpam-3757	98	11	(	(	PUNCT
ejpam-3757	98	12	α	α	X
ejpam-3757	98	13	)	)	PUNCT
ejpam-3757	98	14	j	j	PROPN
ejpam-3757	98	15	,	,	PUNCT
ejpam-3757	98	16	k	k	PROPN
ejpam-3757	98	17	(	(	PUNCT
ejpam-3757	98	18	x	x	X
ejpam-3757	98	19	,	,	PUNCT
ejpam-3757	98	20	y	y	PROPN
ejpam-3757	98	21	;	;	PUNCT
ejpam-3757	98	22	a	a	DET
ejpam-3757	98	23	,	,	PUNCT
ejpam-3757	98	24	b	b	NOUN
ejpam-3757	98	25	,	,	PUNCT
ejpam-3757	98	26	c;λ)zn−j	c;λ)zn−j	X
ejpam-3757	98	27	(	(	PUNCT
ejpam-3757	98	28	z	z	NOUN
ejpam-3757	98	29	6=	6=	NUM
ejpam-3757	98	30	0	0	NUM
ejpam-3757	98	31	)	)	PUNCT
ejpam-3757	98	32	(	(	PUNCT
ejpam-3757	98	33	6	6	NUM
ejpam-3757	98	34	)	)	PUNCT
ejpam-3757	98	35	=	=	SYM
ejpam-3757	98	36	n∑	n∑	X
ejpam-3757	98	37	j=0	j=0	PROPN
ejpam-3757	98	38	(	(	PUNCT
ejpam-3757	98	39	n	n	X
ejpam-3757	98	40	j	j	NOUN
ejpam-3757	98	41	)	)	PUNCT
ejpam-3757	98	42	(	(	PUNCT
ejpam-3757	98	43	ln	ln	NOUN
ejpam-3757	98	44	c)n−jf	c)n−jf	X
ejpam-3757	98	45	(	(	PUNCT
ejpam-3757	98	46	α	α	X
ejpam-3757	98	47	)	)	PUNCT
ejpam-3757	98	48	j	j	PROPN
ejpam-3757	98	49	,	,	PUNCT
ejpam-3757	98	50	k	k	PROPN
ejpam-3757	98	51	(	(	PUNCT
ejpam-3757	98	52	z	z	PROPN
ejpam-3757	98	53	,	,	PUNCT
ejpam-3757	98	54	y	y	PROPN
ejpam-3757	98	55	;	;	PUNCT
ejpam-3757	98	56	a	a	DET
ejpam-3757	98	57	,	,	PUNCT
ejpam-3757	98	58	b	b	NOUN
ejpam-3757	98	59	,	,	PUNCT
ejpam-3757	98	60	c;λ)xn−j	c;λ)xn−j	X
ejpam-3757	98	61	(	(	PUNCT
ejpam-3757	98	62	x	x	SYM
ejpam-3757	98	63	6=	6=	ADP
ejpam-3757	98	64	0	0	NUM
ejpam-3757	98	65	)	)	PUNCT
ejpam-3757	98	66	,	,	PUNCT
ejpam-3757	98	67	(	(	PUNCT
ejpam-3757	98	68	7	7	X
ejpam-3757	98	69	)	)	PUNCT
ejpam-3757	98	70	f	f	NOUN
ejpam-3757	98	71	(	(	PUNCT
ejpam-3757	98	72	α	α	NOUN
ejpam-3757	98	73	)	)	PUNCT
ejpam-3757	98	74	n	n	CCONJ
ejpam-3757	98	75	,	,	PUNCT
ejpam-3757	98	76	k(x+	k(x+	PROPN
ejpam-3757	98	77	z	z	PROPN
ejpam-3757	98	78	;	;	PUNCT
ejpam-3757	98	79	y	y	PROPN
ejpam-3757	98	80	;	;	PUNCT
ejpam-3757	98	81	a	a	PRON
ejpam-3757	98	82	;	;	PUNCT
ejpam-3757	98	83	b	b	NOUN
ejpam-3757	98	84	;	;	PUNCT
ejpam-3757	98	85	c;λ	c;λ	NUM
ejpam-3757	98	86	)	)	PUNCT
ejpam-3757	98	87	=	=	SYM
ejpam-3757	98	88	n∑	n∑	NOUN
ejpam-3757	98	89	j=0	j=0	PROPN
ejpam-3757	98	90	(	(	PUNCT
ejpam-3757	98	91	n	n	X
ejpam-3757	98	92	j	j	PROPN
ejpam-3757	98	93	)	)	PUNCT
ejpam-3757	98	94	f	f	PROPN
ejpam-3757	98	95	(	(	PUNCT
ejpam-3757	98	96	β	β	X
ejpam-3757	98	97	)	)	PUNCT
ejpam-3757	98	98	j	j	PROPN
ejpam-3757	98	99	,	,	PUNCT
ejpam-3757	98	100	k	k	PROPN
ejpam-3757	98	101	(	(	PUNCT
ejpam-3757	98	102	z	z	PROPN
ejpam-3757	98	103	,	,	PUNCT
ejpam-3757	98	104	y	y	PROPN
ejpam-3757	98	105	;	;	PUNCT
ejpam-3757	98	106	a	a	DET
ejpam-3757	98	107	,	,	PUNCT
ejpam-3757	98	108	b	b	NOUN
ejpam-3757	98	109	,	,	PUNCT
ejpam-3757	98	110	c;λ)f	c;λ)f	NOUN
ejpam-3757	98	111	(	(	PUNCT
ejpam-3757	98	112	α−β	α−β	PROPN
ejpam-3757	98	113	)	)	PUNCT
ejpam-3757	98	114	n−j	n−j	ADV
ejpam-3757	98	115	,	,	PUNCT
ejpam-3757	98	116	k	k	PROPN
ejpam-3757	98	117	(	(	PUNCT
ejpam-3757	98	118	x	x	X
ejpam-3757	98	119	,	,	PUNCT
ejpam-3757	98	120	y	y	PROPN
ejpam-3757	98	121	;	;	PUNCT
ejpam-3757	98	122	a	a	DET
ejpam-3757	98	123	,	,	PUNCT
ejpam-3757	98	124	b	b	NOUN
ejpam-3757	98	125	,	,	PUNCT
ejpam-3757	98	126	c;λ	c;λ	NUM
ejpam-3757	98	127	)	)	PUNCT
ejpam-3757	98	128	,	,	PUNCT
ejpam-3757	98	129	(	(	PUNCT
ejpam-3757	98	130	8)	8)	NUM
ejpam-3757	98	131	f	f	X
ejpam-3757	98	132	(	(	PUNCT
ejpam-3757	98	133	α+β	α+β	PROPN
ejpam-3757	98	134	)	)	PUNCT
ejpam-3757	98	135	n	n	CCONJ
ejpam-3757	98	136	,	,	PUNCT
ejpam-3757	98	137	k	k	PROPN
ejpam-3757	98	138	(	(	PUNCT
ejpam-3757	98	139	x	x	X
ejpam-3757	98	140	;	;	PUNCT
ejpam-3757	98	141	y	y	PROPN
ejpam-3757	98	142	;	;	PUNCT
ejpam-3757	98	143	a	a	PRON
ejpam-3757	98	144	;	;	PUNCT
ejpam-3757	98	145	b	b	NOUN
ejpam-3757	98	146	;	;	PUNCT
ejpam-3757	98	147	c;λ	c;λ	NUM
ejpam-3757	98	148	)	)	PUNCT
ejpam-3757	98	149	=	=	SYM
ejpam-3757	98	150	n∑	n∑	NOUN
ejpam-3757	98	151	j=0	j=0	PROPN
ejpam-3757	98	152	(	(	PUNCT
ejpam-3757	98	153	n	n	X
ejpam-3757	98	154	j	j	PROPN
ejpam-3757	98	155	)	)	PUNCT
ejpam-3757	98	156	f	f	PROPN
ejpam-3757	98	157	(	(	PUNCT
ejpam-3757	98	158	β	β	X
ejpam-3757	98	159	)	)	PUNCT
ejpam-3757	98	160	j	j	PROPN
ejpam-3757	98	161	,	,	PUNCT
ejpam-3757	98	162	k	k	PROPN
ejpam-3757	98	163	(	(	PUNCT
ejpam-3757	98	164	x	x	X
ejpam-3757	98	165	,	,	PUNCT
ejpam-3757	98	166	y	y	PROPN
ejpam-3757	98	167	;	;	PUNCT
ejpam-3757	98	168	a	a	DET
ejpam-3757	98	169	,	,	PUNCT
ejpam-3757	98	170	b	b	NOUN
ejpam-3757	98	171	,	,	PUNCT
ejpam-3757	98	172	c;λ)f	c;λ)f	PROPN
ejpam-3757	98	173	(	(	PUNCT
ejpam-3757	98	174	α	α	NOUN
ejpam-3757	98	175	)	)	PUNCT
ejpam-3757	98	176	n−j	n−j	ADV
ejpam-3757	98	177	,	,	PUNCT
ejpam-3757	98	178	k(x	k(x	PROPN
ejpam-3757	98	179	,	,	PUNCT
ejpam-3757	98	180	y	y	PROPN
ejpam-3757	98	181	;	;	PUNCT
ejpam-3757	98	182	a	a	DET
ejpam-3757	98	183	,	,	PUNCT
ejpam-3757	98	184	b	b	NOUN
ejpam-3757	98	185	,	,	PUNCT
ejpam-3757	98	186	c;λ	c;λ	NUM
ejpam-3757	98	187	)	)	PUNCT
ejpam-3757	98	188	,	,	PUNCT
ejpam-3757	98	189	(	(	PUNCT
ejpam-3757	98	190	9	9	X
ejpam-3757	98	191	)	)	PUNCT
ejpam-3757	98	192	f	f	NOUN
ejpam-3757	98	193	(	(	PUNCT
ejpam-3757	98	194	α+β	α+β	PROPN
ejpam-3757	98	195	)	)	PUNCT
ejpam-3757	98	196	n	n	CCONJ
ejpam-3757	98	197	,	,	PUNCT
ejpam-3757	98	198	k	k	PROPN
ejpam-3757	98	199	(	(	PUNCT
ejpam-3757	98	200	x+	x+	PROPN
ejpam-3757	98	201	z	z	NOUN
ejpam-3757	98	202	;	;	PUNCT
ejpam-3757	98	203	y	y	PROPN
ejpam-3757	98	204	;	;	PUNCT
ejpam-3757	98	205	a	a	PRON
ejpam-3757	98	206	;	;	PUNCT
ejpam-3757	98	207	b	b	NOUN
ejpam-3757	98	208	;	;	PUNCT
ejpam-3757	98	209	c;λ	c;λ	NUM
ejpam-3757	98	210	)	)	PUNCT
ejpam-3757	98	211	=	=	SYM
ejpam-3757	98	212	n∑	n∑	NOUN
ejpam-3757	98	213	j=0	j=0	PROPN
ejpam-3757	98	214	(	(	PUNCT
ejpam-3757	98	215	n	n	X
ejpam-3757	98	216	j	j	PROPN
ejpam-3757	98	217	)	)	PUNCT
ejpam-3757	98	218	f	f	PROPN
ejpam-3757	98	219	(	(	PUNCT
ejpam-3757	98	220	α	α	NOUN
ejpam-3757	98	221	)	)	PUNCT
ejpam-3757	98	222	j	j	PROPN
ejpam-3757	98	223	,	,	PUNCT
ejpam-3757	98	224	k	k	PROPN
ejpam-3757	98	225	(	(	PUNCT
ejpam-3757	98	226	x	x	X
ejpam-3757	98	227	,	,	PUNCT
ejpam-3757	98	228	y	y	PROPN
ejpam-3757	98	229	;	;	PUNCT
ejpam-3757	98	230	a	a	DET
ejpam-3757	98	231	,	,	PUNCT
ejpam-3757	98	232	b	b	NOUN
ejpam-3757	98	233	,	,	PUNCT
ejpam-3757	98	234	c;λ)f	c;λ)f	NOUN
ejpam-3757	98	235	(	(	PUNCT
ejpam-3757	98	236	β	β	NOUN
ejpam-3757	98	237	)	)	PUNCT
ejpam-3757	98	238	n−j	n−j	ADV
ejpam-3757	98	239	,	,	PUNCT
ejpam-3757	98	240	k(z	k(z	PROPN
ejpam-3757	98	241	,	,	PUNCT
ejpam-3757	98	242	y	y	PROPN
ejpam-3757	98	243	;	;	PUNCT
ejpam-3757	98	244	a	a	DET
ejpam-3757	98	245	,	,	PUNCT
ejpam-3757	98	246	b	b	NOUN
ejpam-3757	98	247	,	,	PUNCT
ejpam-3757	98	248	c;λ	c;λ	NUM
ejpam-3757	98	249	)	)	PUNCT
ejpam-3757	98	250	n.	n.	NOUN
ejpam-3757	98	251	g.	g.	PROPN
ejpam-3757	98	252	acala	acala	PROPN
ejpam-3757	98	253	/	/	SYM
ejpam-3757	98	254	eur	eur	PROPN
ejpam-3757	98	255	.	.	PUNCT
ejpam-3757	99	1	j.	j.	PROPN
ejpam-3757	99	2	pure	pure	PROPN
ejpam-3757	99	3	appl	appl	PROPN
ejpam-3757	99	4	.	.	PROPN
ejpam-3757	99	5	math	math	PROPN
ejpam-3757	99	6	,	,	PUNCT
ejpam-3757	99	7	13	13	NUM
ejpam-3757	99	8	(	(	PUNCT
ejpam-3757	99	9	3	3	NUM
ejpam-3757	99	10	)	)	PUNCT
ejpam-3757	99	11	(	(	PUNCT
ejpam-3757	99	12	2020	2020	NUM
ejpam-3757	99	13	)	)	PUNCT
ejpam-3757	99	14	,	,	PUNCT
ejpam-3757	99	15	587	587	NUM
ejpam-3757	99	16	-	-	SYM
ejpam-3757	99	17	607	607	NUM
ejpam-3757	99	18	592	592	NUM
ejpam-3757	99	19	=	=	NOUN
ejpam-3757	99	20	n∑	n∑	X
ejpam-3757	99	21	j=0	j=0	PROPN
ejpam-3757	99	22	(	(	PUNCT
ejpam-3757	99	23	n	n	X
ejpam-3757	99	24	j	j	PROPN
ejpam-3757	99	25	)	)	PUNCT
ejpam-3757	99	26	f	f	PROPN
ejpam-3757	99	27	(	(	PUNCT
ejpam-3757	99	28	β	β	X
ejpam-3757	99	29	)	)	PUNCT
ejpam-3757	99	30	j	j	PROPN
ejpam-3757	99	31	,	,	PUNCT
ejpam-3757	99	32	k	k	PROPN
ejpam-3757	99	33	(	(	PUNCT
ejpam-3757	99	34	x	x	X
ejpam-3757	99	35	,	,	PUNCT
ejpam-3757	99	36	y	y	PROPN
ejpam-3757	99	37	;	;	PUNCT
ejpam-3757	99	38	a	a	DET
ejpam-3757	99	39	,	,	PUNCT
ejpam-3757	99	40	b	b	NOUN
ejpam-3757	99	41	,	,	PUNCT
ejpam-3757	99	42	c;λ)f	c;λ)f	PROPN
ejpam-3757	99	43	(	(	PUNCT
ejpam-3757	99	44	α	α	NOUN
ejpam-3757	99	45	)	)	PUNCT
ejpam-3757	99	46	n−j	n−j	ADV
ejpam-3757	99	47	,	,	PUNCT
ejpam-3757	99	48	k(z	k(z	PROPN
ejpam-3757	99	49	,	,	PUNCT
ejpam-3757	99	50	y	y	PROPN
ejpam-3757	99	51	;	;	PUNCT
ejpam-3757	99	52	a	a	DET
ejpam-3757	99	53	,	,	PUNCT
ejpam-3757	99	54	b	b	NOUN
ejpam-3757	99	55	,	,	PUNCT
ejpam-3757	99	56	c;λ	c;λ	NUM
ejpam-3757	99	57	)	)	PUNCT
ejpam-3757	99	58	.	.	PUNCT
ejpam-3757	100	1	replacing	replace	VERB
ejpam-3757	100	2	x	x	PUNCT
ejpam-3757	100	3	by	by	ADP
ejpam-3757	100	4	x	x	X
ejpam-3757	100	5	−	−	PROPN
ejpam-3757	100	6	z	z	NOUN
ejpam-3757	100	7	in	in	ADP
ejpam-3757	100	8	(	(	PUNCT
ejpam-3757	100	9	6	6	NUM
ejpam-3757	100	10	)	)	PUNCT
ejpam-3757	100	11	,	,	PUNCT
ejpam-3757	100	12	(	(	PUNCT
ejpam-3757	100	13	7	7	NUM
ejpam-3757	100	14	)	)	PUNCT
ejpam-3757	100	15	,	,	PUNCT
ejpam-3757	100	16	and	and	CCONJ
ejpam-3757	100	17	(	(	PUNCT
ejpam-3757	100	18	8)	8)	NUM
ejpam-3757	100	19	;	;	PUNCT
ejpam-3757	100	20	and	and	CCONJ
ejpam-3757	100	21	replacing	replace	VERB
ejpam-3757	100	22	α	α	NOUN
ejpam-3757	100	23	by	by	ADP
ejpam-3757	100	24	α	α	PROPN
ejpam-3757	100	25	−	−	NOUN
ejpam-3757	101	1	β	β	X
ejpam-3757	102	1	in	in	ADP
ejpam-3757	102	2	(	(	PUNCT
ejpam-3757	102	3	9	9	NUM
ejpam-3757	102	4	)	)	PUNCT
ejpam-3757	102	5	,	,	PUNCT
ejpam-3757	102	6	we	we	PRON
ejpam-3757	102	7	obtain	obtain	VERB
ejpam-3757	102	8	the	the	DET
ejpam-3757	102	9	next	next	ADJ
ejpam-3757	102	10	results	result	NOUN
ejpam-3757	102	11	.	.	PUNCT
ejpam-3757	103	1	corollary	corollary	ADJ
ejpam-3757	103	2	1	1	NUM
ejpam-3757	103	3	.	.	PUNCT
ejpam-3757	104	1	for	for	ADP
ejpam-3757	104	2	α	α	PROPN
ejpam-3757	104	3	,	,	PUNCT
ejpam-3757	104	4	β	β	X
ejpam-3757	104	5	,	,	PUNCT
ejpam-3757	104	6	λ	λ	PROPN
ejpam-3757	104	7	∈	∈	PROPN
ejpam-3757	104	8	c	c	NOUN
ejpam-3757	104	9	and	and	CCONJ
ejpam-3757	104	10	x	x	NOUN
ejpam-3757	104	11	,	,	PUNCT
ejpam-3757	104	12	z	z	PROPN
ejpam-3757	104	13	∈	∈	PROPN
ejpam-3757	104	14	r	r	NOUN
ejpam-3757	104	15	,	,	PUNCT
ejpam-3757	104	16	we	we	PRON
ejpam-3757	104	17	have	have	VERB
ejpam-3757	104	18	f	f	PROPN
ejpam-3757	104	19	(	(	PUNCT
ejpam-3757	104	20	α	α	NOUN
ejpam-3757	104	21	)	)	PUNCT
ejpam-3757	104	22	n	n	CCONJ
ejpam-3757	104	23	,	,	PUNCT
ejpam-3757	104	24	k(x	k(x	PROPN
ejpam-3757	104	25	,	,	PUNCT
ejpam-3757	104	26	y	y	PROPN
ejpam-3757	104	27	;	;	PUNCT
ejpam-3757	104	28	a	a	DET
ejpam-3757	104	29	,	,	PUNCT
ejpam-3757	104	30	b	b	NOUN
ejpam-3757	104	31	,	,	PUNCT
ejpam-3757	104	32	c;λ	c;λ	NUM
ejpam-3757	104	33	)	)	PUNCT
ejpam-3757	105	1	=	=	SYM
ejpam-3757	105	2	n∑	n∑	X
ejpam-3757	105	3	j=0	j=0	PROPN
ejpam-3757	105	4	(	(	PUNCT
ejpam-3757	105	5	n	n	X
ejpam-3757	105	6	j	j	NOUN
ejpam-3757	105	7	)	)	PUNCT
ejpam-3757	105	8	(	(	PUNCT
ejpam-3757	105	9	ln	ln	NOUN
ejpam-3757	105	10	c)n−jf	c)n−jf	X
ejpam-3757	105	11	(	(	PUNCT
ejpam-3757	105	12	α	α	X
ejpam-3757	105	13	)	)	PUNCT
ejpam-3757	105	14	j	j	PROPN
ejpam-3757	105	15	,	,	PUNCT
ejpam-3757	105	16	k	k	PROPN
ejpam-3757	105	17	(	(	PUNCT
ejpam-3757	105	18	x−	x−	PROPN
ejpam-3757	105	19	z	z	PROPN
ejpam-3757	105	20	,	,	PUNCT
ejpam-3757	105	21	y	y	PROPN
ejpam-3757	105	22	;	;	PUNCT
ejpam-3757	105	23	a	a	DET
ejpam-3757	105	24	,	,	PUNCT
ejpam-3757	105	25	b	b	NOUN
ejpam-3757	105	26	,	,	PUNCT
ejpam-3757	105	27	c;λ)zn−j	c;λ)zn−j	X
ejpam-3757	105	28	(	(	PUNCT
ejpam-3757	105	29	z	z	NOUN
ejpam-3757	105	30	6=	6=	NUM
ejpam-3757	105	31	0	0	NUM
ejpam-3757	105	32	)	)	PUNCT
ejpam-3757	105	33	,	,	PUNCT
ejpam-3757	105	34	=	=	SYM
ejpam-3757	105	35	n∑	n∑	X
ejpam-3757	105	36	j=0	j=0	PROPN
ejpam-3757	105	37	(	(	PUNCT
ejpam-3757	105	38	n	n	X
ejpam-3757	105	39	j	j	NOUN
ejpam-3757	105	40	)	)	PUNCT
ejpam-3757	105	41	(	(	PUNCT
ejpam-3757	105	42	ln	ln	NOUN
ejpam-3757	105	43	c)n−jf	c)n−jf	X
ejpam-3757	105	44	(	(	PUNCT
ejpam-3757	105	45	α	α	X
ejpam-3757	105	46	)	)	PUNCT
ejpam-3757	105	47	j	j	PROPN
ejpam-3757	105	48	,	,	PUNCT
ejpam-3757	105	49	k	k	PROPN
ejpam-3757	105	50	(	(	PUNCT
ejpam-3757	105	51	z	z	PROPN
ejpam-3757	105	52	,	,	PUNCT
ejpam-3757	105	53	y	y	PROPN
ejpam-3757	105	54	;	;	PUNCT
ejpam-3757	105	55	a	a	DET
ejpam-3757	105	56	,	,	PUNCT
ejpam-3757	105	57	b	b	NOUN
ejpam-3757	105	58	,	,	PUNCT
ejpam-3757	105	59	c;λ)(x−	c;λ)(x−	PROPN
ejpam-3757	105	60	z)n−j	z)n−j	ADJ
ejpam-3757	105	61	.	.	PUNCT
ejpam-3757	106	1	f	f	PROPN
ejpam-3757	106	2	(	(	PUNCT
ejpam-3757	106	3	α	α	NOUN
ejpam-3757	106	4	)	)	PUNCT
ejpam-3757	106	5	n	n	CCONJ
ejpam-3757	106	6	,	,	PUNCT
ejpam-3757	106	7	k(x	k(x	PROPN
ejpam-3757	106	8	,	,	PUNCT
ejpam-3757	106	9	y	y	PROPN
ejpam-3757	106	10	;	;	PUNCT
ejpam-3757	106	11	a	a	DET
ejpam-3757	106	12	,	,	PUNCT
ejpam-3757	106	13	b	b	NOUN
ejpam-3757	106	14	,	,	PUNCT
ejpam-3757	106	15	c;λ	c;λ	NUM
ejpam-3757	106	16	)	)	PUNCT
ejpam-3757	107	1	=	=	SYM
ejpam-3757	107	2	n∑	n∑	X
ejpam-3757	107	3	j=0	j=0	PROPN
ejpam-3757	107	4	(	(	PUNCT
ejpam-3757	107	5	n	n	X
ejpam-3757	107	6	j	j	PROPN
ejpam-3757	107	7	)	)	PUNCT
ejpam-3757	107	8	f	f	PROPN
ejpam-3757	107	9	(	(	PUNCT
ejpam-3757	107	10	α	α	NOUN
ejpam-3757	107	11	)	)	PUNCT
ejpam-3757	107	12	j	j	PROPN
ejpam-3757	107	13	,	,	PUNCT
ejpam-3757	107	14	k	k	PROPN
ejpam-3757	107	15	(	(	PUNCT
ejpam-3757	107	16	z	z	PROPN
ejpam-3757	107	17	,	,	PUNCT
ejpam-3757	107	18	y	y	PROPN
ejpam-3757	107	19	;	;	PUNCT
ejpam-3757	107	20	a	a	DET
ejpam-3757	107	21	,	,	PUNCT
ejpam-3757	107	22	b	b	NOUN
ejpam-3757	107	23	,	,	PUNCT
ejpam-3757	107	24	c;λ)f	c;λ)f	PROPN
ejpam-3757	107	25	(	(	PUNCT
ejpam-3757	107	26	α	α	NOUN
ejpam-3757	107	27	)	)	PUNCT
ejpam-3757	107	28	n−j	n−j	ADV
ejpam-3757	107	29	,	,	PUNCT
ejpam-3757	107	30	k(x−	k(x−	PROPN
ejpam-3757	107	31	z	z	PROPN
ejpam-3757	107	32	,	,	PUNCT
ejpam-3757	107	33	y	y	PROPN
ejpam-3757	107	34	;	;	PUNCT
ejpam-3757	107	35	a	a	DET
ejpam-3757	107	36	,	,	PUNCT
ejpam-3757	107	37	b	b	NOUN
ejpam-3757	107	38	,	,	PUNCT
ejpam-3757	107	39	c;λ	c;λ	NUM
ejpam-3757	107	40	)	)	PUNCT
ejpam-3757	107	41	(	(	PUNCT
ejpam-3757	107	42	z	z	NOUN
ejpam-3757	107	43	6=	6=	NUM
ejpam-3757	107	44	x	x	NOUN
ejpam-3757	107	45	)	)	PUNCT
ejpam-3757	107	46	,	,	PUNCT
ejpam-3757	107	47	f	f	PROPN
ejpam-3757	107	48	(	(	PUNCT
ejpam-3757	107	49	α	α	NOUN
ejpam-3757	107	50	)	)	PUNCT
ejpam-3757	107	51	n	n	CCONJ
ejpam-3757	107	52	,	,	PUNCT
ejpam-3757	107	53	k(x	k(x	PROPN
ejpam-3757	107	54	,	,	PUNCT
ejpam-3757	107	55	y	y	PROPN
ejpam-3757	107	56	;	;	PUNCT
ejpam-3757	107	57	a	a	DET
ejpam-3757	107	58	,	,	PUNCT
ejpam-3757	107	59	b	b	NOUN
ejpam-3757	107	60	,	,	PUNCT
ejpam-3757	107	61	c;λ	c;λ	NUM
ejpam-3757	107	62	)	)	PUNCT
ejpam-3757	107	63	=	=	SYM
ejpam-3757	107	64	n∑	n∑	X
ejpam-3757	107	65	j=0	j=0	PROPN
ejpam-3757	107	66	(	(	PUNCT
ejpam-3757	107	67	n	n	X
ejpam-3757	107	68	j	j	PROPN
ejpam-3757	107	69	)	)	PUNCT
ejpam-3757	107	70	f	f	PROPN
ejpam-3757	107	71	(	(	PUNCT
ejpam-3757	107	72	β	β	X
ejpam-3757	107	73	)	)	PUNCT
ejpam-3757	107	74	j	j	PROPN
ejpam-3757	107	75	,	,	PUNCT
ejpam-3757	107	76	k	k	PROPN
ejpam-3757	107	77	(	(	PUNCT
ejpam-3757	107	78	x	x	X
ejpam-3757	107	79	,	,	PUNCT
ejpam-3757	107	80	y	y	PROPN
ejpam-3757	107	81	;	;	PUNCT
ejpam-3757	107	82	a	a	DET
ejpam-3757	107	83	,	,	PUNCT
ejpam-3757	107	84	b	b	NOUN
ejpam-3757	107	85	,	,	PUNCT
ejpam-3757	107	86	c;λ)f	c;λ)f	NOUN
ejpam-3757	107	87	(	(	PUNCT
ejpam-3757	107	88	α−β	α−β	PROPN
ejpam-3757	107	89	)	)	PUNCT
ejpam-3757	107	90	n−j	n−j	ADV
ejpam-3757	107	91	,	,	PUNCT
ejpam-3757	107	92	k	k	PROPN
ejpam-3757	107	93	(	(	PUNCT
ejpam-3757	107	94	x	x	X
ejpam-3757	107	95	,	,	PUNCT
ejpam-3757	107	96	y	y	PROPN
ejpam-3757	107	97	;	;	PUNCT
ejpam-3757	107	98	a	a	PRON
ejpam-3757	107	99	,	,	PUNCT
ejpam-3757	107	100	b	b	NOUN
ejpam-3757	107	101	,	,	PUNCT
ejpam-3757	107	102	c;λ	c;λ	NUM
ejpam-3757	107	103	)	)	PUNCT
ejpam-3757	107	104	setting	set	VERB
ejpam-3757	107	105	z	z	NOUN
ejpam-3757	107	106	=	=	SYM
ejpam-3757	107	107	(	(	PUNCT
ejpam-3757	107	108	p−	p−	NOUN
ejpam-3757	107	109	1)x	1)x	NUM
ejpam-3757	107	110	in	in	ADP
ejpam-3757	107	111	(	(	PUNCT
ejpam-3757	107	112	6	6	NUM
ejpam-3757	107	113	)	)	PUNCT
ejpam-3757	107	114	,	,	PUNCT
ejpam-3757	107	115	we	we	PRON
ejpam-3757	107	116	obtain	obtain	VERB
ejpam-3757	107	117	a	a	DET
ejpam-3757	107	118	multiplication	multiplication	NOUN
ejpam-3757	107	119	formula	formula	NOUN
ejpam-3757	107	120	for	for	ADP
ejpam-3757	107	121	f	f	PROPN
ejpam-3757	107	122	(	(	PUNCT
ejpam-3757	107	123	α	α	NOUN
ejpam-3757	107	124	)	)	PUNCT
ejpam-3757	107	125	n	n	CCONJ
ejpam-3757	107	126	,	,	PUNCT
ejpam-3757	107	127	k(x	k(x	PROPN
ejpam-3757	107	128	,	,	PUNCT
ejpam-3757	107	129	y	y	PROPN
ejpam-3757	107	130	;	;	PUNCT
ejpam-3757	107	131	a	a	DET
ejpam-3757	107	132	,	,	PUNCT
ejpam-3757	107	133	b	b	NOUN
ejpam-3757	107	134	,	,	PUNCT
ejpam-3757	107	135	c;λ	c;λ	NUM
ejpam-3757	107	136	)	)	PUNCT
ejpam-3757	107	137	.	.	PUNCT
ejpam-3757	108	1	corollary	corollary	ADJ
ejpam-3757	108	2	2	2	NUM
ejpam-3757	108	3	.	.	PUNCT
ejpam-3757	109	1	let	let	VERB
ejpam-3757	109	2	p	p	PRON
ejpam-3757	109	3	6=	6=	ADP
ejpam-3757	109	4	1	1	NUM
ejpam-3757	109	5	and	and	CCONJ
ejpam-3757	109	6	x	x	SYM
ejpam-3757	109	7	6=	6=	ADP
ejpam-3757	109	8	0	0	NUM
ejpam-3757	109	9	.	.	PUNCT
ejpam-3757	110	1	then	then	ADV
ejpam-3757	110	2	f	f	PROPN
ejpam-3757	110	3	(	(	PUNCT
ejpam-3757	110	4	α	α	NOUN
ejpam-3757	110	5	)	)	PUNCT
ejpam-3757	110	6	n	n	CCONJ
ejpam-3757	110	7	,	,	PUNCT
ejpam-3757	110	8	k(px	k(px	PROPN
ejpam-3757	110	9	,	,	PUNCT
ejpam-3757	110	10	y	y	PROPN
ejpam-3757	110	11	;	;	PUNCT
ejpam-3757	110	12	a	a	DET
ejpam-3757	110	13	,	,	PUNCT
ejpam-3757	110	14	b	b	NOUN
ejpam-3757	110	15	,	,	PUNCT
ejpam-3757	110	16	c;λ	c;λ	NUM
ejpam-3757	110	17	)	)	PUNCT
ejpam-3757	111	1	=	=	SYM
ejpam-3757	111	2	n∑	n∑	X
ejpam-3757	111	3	j=0	j=0	PROPN
ejpam-3757	111	4	(	(	PUNCT
ejpam-3757	111	5	n	n	X
ejpam-3757	111	6	j	j	NOUN
ejpam-3757	111	7	)	)	PUNCT
ejpam-3757	112	1	[	[	X
ejpam-3757	112	2	(	(	PUNCT
ejpam-3757	112	3	p−	p−	NOUN
ejpam-3757	112	4	1)x	1)x	NUM
ejpam-3757	112	5	ln	ln	NOUN
ejpam-3757	112	6	c]n−j	c]n−j	ADJ
ejpam-3757	112	7	f	f	PROPN
ejpam-3757	112	8	(	(	PUNCT
ejpam-3757	112	9	α	α	NOUN
ejpam-3757	112	10	)	)	PUNCT
ejpam-3757	112	11	j	j	PROPN
ejpam-3757	112	12	,	,	PUNCT
ejpam-3757	112	13	k	k	PROPN
ejpam-3757	112	14	(	(	PUNCT
ejpam-3757	112	15	x	x	X
ejpam-3757	112	16	,	,	PUNCT
ejpam-3757	112	17	y	y	PROPN
ejpam-3757	112	18	;	;	PUNCT
ejpam-3757	112	19	a	a	DET
ejpam-3757	112	20	,	,	PUNCT
ejpam-3757	112	21	b	b	NOUN
ejpam-3757	112	22	,	,	PUNCT
ejpam-3757	112	23	c;λ	c;λ	NUM
ejpam-3757	112	24	)	)	PUNCT
ejpam-3757	112	25	.	.	PUNCT
ejpam-3757	113	1	theorem	theorem	NOUN
ejpam-3757	113	2	2	2	NUM
ejpam-3757	113	3	.	.	PUNCT
ejpam-3757	114	1	let	let	VERB
ejpam-3757	114	2	α	α	PRON
ejpam-3757	114	3	and	and	CCONJ
ejpam-3757	114	4	λ	λ	PROPN
ejpam-3757	114	5	be	be	AUX
ejpam-3757	114	6	arbitrary	arbitrary	ADJ
ejpam-3757	114	7	real	real	ADJ
ejpam-3757	114	8	or	or	CCONJ
ejpam-3757	114	9	complex	complex	ADJ
ejpam-3757	114	10	parameters	parameter	NOUN
ejpam-3757	114	11	.	.	PUNCT
ejpam-3757	115	1	then	then	ADV
ejpam-3757	115	2	f	f	PROPN
ejpam-3757	115	3	(	(	PUNCT
ejpam-3757	115	4	α	α	NOUN
ejpam-3757	115	5	)	)	PUNCT
ejpam-3757	115	6	n	n	CCONJ
ejpam-3757	115	7	,	,	PUNCT
ejpam-3757	115	8	k(−x	k(−x	PROPN
ejpam-3757	115	9	,	,	PUNCT
ejpam-3757	115	10	y	y	PROPN
ejpam-3757	115	11	;	;	PUNCT
ejpam-3757	115	12	a	a	DET
ejpam-3757	115	13	,	,	PUNCT
ejpam-3757	115	14	b	b	NOUN
ejpam-3757	115	15	,	,	PUNCT
ejpam-3757	115	16	c;λ	c;λ	NUM
ejpam-3757	115	17	)	)	PUNCT
ejpam-3757	115	18	=	=	SYM
ejpam-3757	115	19	(	(	PUNCT
ejpam-3757	115	20	−1)kα+nf	−1)kα+nf	PROPN
ejpam-3757	115	21	(	(	PUNCT
ejpam-3757	115	22	α	α	NOUN
ejpam-3757	115	23	)	)	PUNCT
ejpam-3757	115	24	n	n	CCONJ
ejpam-3757	115	25	,	,	PUNCT
ejpam-3757	115	26	k	k	PROPN
ejpam-3757	115	27	(	(	PUNCT
ejpam-3757	115	28	x	x	X
ejpam-3757	115	29	,	,	PUNCT
ejpam-3757	115	30	y	y	PROPN
ejpam-3757	115	31	;	;	PUNCT
ejpam-3757	115	32	1	1	NUM
ejpam-3757	115	33	a	a	DET
ejpam-3757	115	34	,	,	PUNCT
ejpam-3757	115	35	1	1	NUM
ejpam-3757	115	36	b	b	NUM
ejpam-3757	115	37	,	,	PUNCT
ejpam-3757	115	38	c;λ	c;λ	NUM
ejpam-3757	115	39	)	)	PUNCT
ejpam-3757	115	40	,	,	PUNCT
ejpam-3757	115	41	f	f	PROPN
ejpam-3757	115	42	(	(	PUNCT
ejpam-3757	115	43	α	α	NOUN
ejpam-3757	115	44	)	)	PUNCT
ejpam-3757	115	45	n	n	CCONJ
ejpam-3757	115	46	,	,	PUNCT
ejpam-3757	115	47	k(x+	k(x+	PROPN
ejpam-3757	115	48	α	α	X
ejpam-3757	115	49	,	,	PUNCT
ejpam-3757	115	50	y	y	PROPN
ejpam-3757	115	51	;	;	PUNCT
ejpam-3757	115	52	a	a	DET
ejpam-3757	115	53	,	,	PUNCT
ejpam-3757	115	54	b	b	NOUN
ejpam-3757	115	55	,	,	PUNCT
ejpam-3757	115	56	c;λ	c;λ	NUM
ejpam-3757	115	57	)	)	PUNCT
ejpam-3757	116	1	=	=	SYM
ejpam-3757	116	2	f	f	PROPN
ejpam-3757	116	3	(	(	PUNCT
ejpam-3757	116	4	α	α	NOUN
ejpam-3757	116	5	)	)	PUNCT
ejpam-3757	116	6	n	n	CCONJ
ejpam-3757	116	7	,	,	PUNCT
ejpam-3757	116	8	k	k	PROPN
ejpam-3757	116	9	(	(	PUNCT
ejpam-3757	116	10	x	x	X
ejpam-3757	116	11	,	,	PUNCT
ejpam-3757	116	12	y	y	PROPN
ejpam-3757	116	13	;	;	PUNCT
ejpam-3757	116	14	a	a	DET
ejpam-3757	116	15	c	c	NOUN
ejpam-3757	116	16	,	,	PUNCT
ejpam-3757	116	17	b	b	PROPN
ejpam-3757	116	18	c	c	X
ejpam-3757	116	19	,	,	PUNCT
ejpam-3757	116	20	c;λ	c;λ	NUM
ejpam-3757	116	21	)	)	PUNCT
ejpam-3757	116	22	,	,	PUNCT
ejpam-3757	116	23	f	f	PROPN
ejpam-3757	116	24	(	(	PUNCT
ejpam-3757	116	25	α	α	NOUN
ejpam-3757	116	26	)	)	PUNCT
ejpam-3757	116	27	n	n	CCONJ
ejpam-3757	116	28	,	,	PUNCT
ejpam-3757	116	29	k(α−	k(α−	NOUN
ejpam-3757	116	30	x	x	SYM
ejpam-3757	116	31	,	,	PUNCT
ejpam-3757	116	32	y	y	PROPN
ejpam-3757	116	33	;	;	PUNCT
ejpam-3757	116	34	a	a	DET
ejpam-3757	116	35	,	,	PUNCT
ejpam-3757	116	36	b	b	NOUN
ejpam-3757	116	37	,	,	PUNCT
ejpam-3757	116	38	c;λ	c;λ	NUM
ejpam-3757	116	39	)	)	PUNCT
ejpam-3757	117	1	=	=	SYM
ejpam-3757	117	2	f	f	PROPN
ejpam-3757	117	3	(	(	PUNCT
ejpam-3757	117	4	α	α	NOUN
ejpam-3757	117	5	)	)	PUNCT
ejpam-3757	117	6	n	n	CCONJ
ejpam-3757	117	7	,	,	PUNCT
ejpam-3757	117	8	k	k	PROPN
ejpam-3757	117	9	(	(	PUNCT
ejpam-3757	117	10	−x	−x	NOUN
ejpam-3757	117	11	,	,	PUNCT
ejpam-3757	117	12	y	y	PROPN
ejpam-3757	117	13	;	;	PUNCT
ejpam-3757	117	14	a	a	DET
ejpam-3757	117	15	c	c	NOUN
ejpam-3757	117	16	,	,	PUNCT
ejpam-3757	117	17	b	b	PROPN
ejpam-3757	117	18	c	c	X
ejpam-3757	117	19	,	,	PUNCT
ejpam-3757	117	20	c;λ	c;λ	NUM
ejpam-3757	117	21	)	)	PUNCT
ejpam-3757	117	22	,	,	PUNCT
ejpam-3757	117	23	=	=	PRON
ejpam-3757	117	24	(	(	PUNCT
ejpam-3757	117	25	−1)kα+nf	−1)kα+nf	PROPN
ejpam-3757	117	26	(	(	PUNCT
ejpam-3757	117	27	α	α	NOUN
ejpam-3757	117	28	)	)	PUNCT
ejpam-3757	117	29	n	n	CCONJ
ejpam-3757	117	30	,	,	PUNCT
ejpam-3757	117	31	k	k	PROPN
ejpam-3757	117	32	(	(	PUNCT
ejpam-3757	117	33	x	x	X
ejpam-3757	117	34	,	,	PUNCT
ejpam-3757	117	35	y	y	PROPN
ejpam-3757	117	36	;	;	PUNCT
ejpam-3757	117	37	c	c	PROPN
ejpam-3757	117	38	a	a	PRON
ejpam-3757	117	39	,	,	PUNCT
ejpam-3757	117	40	c	c	PROPN
ejpam-3757	117	41	b	b	PROPN
ejpam-3757	117	42	,	,	PUNCT
ejpam-3757	117	43	c;λ	c;λ	NUM
ejpam-3757	117	44	)	)	PUNCT
ejpam-3757	117	45	.	.	PUNCT
ejpam-3757	118	1	basic	basic	ADJ
ejpam-3757	118	2	differential	differential	NOUN
ejpam-3757	118	3	and	and	CCONJ
ejpam-3757	118	4	integral	integral	ADJ
ejpam-3757	118	5	identities	identity	NOUN
ejpam-3757	118	6	of	of	ADP
ejpam-3757	118	7	f	f	PROPN
ejpam-3757	118	8	(	(	PUNCT
ejpam-3757	118	9	α	α	NOUN
ejpam-3757	118	10	)	)	PUNCT
ejpam-3757	118	11	n	n	CCONJ
ejpam-3757	118	12	,	,	PUNCT
ejpam-3757	118	13	k(x	k(x	PROPN
ejpam-3757	118	14	,	,	PUNCT
ejpam-3757	118	15	y	y	PROPN
ejpam-3757	118	16	;	;	PUNCT
ejpam-3757	118	17	a	a	DET
ejpam-3757	118	18	,	,	PUNCT
ejpam-3757	118	19	b	b	NOUN
ejpam-3757	118	20	,	,	PUNCT
ejpam-3757	118	21	c;λ	c;λ	NUM
ejpam-3757	118	22	)	)	PUNCT
ejpam-3757	118	23	are	be	AUX
ejpam-3757	118	24	given	give	VERB
ejpam-3757	118	25	in	in	ADP
ejpam-3757	118	26	the	the	DET
ejpam-3757	118	27	next	next	ADJ
ejpam-3757	118	28	theorem	theorem	NOUN
ejpam-3757	118	29	.	.	PUNCT
ejpam-3757	119	1	n.	n.	PROPN
ejpam-3757	119	2	g.	g.	PROPN
ejpam-3757	119	3	acala	acala	PROPN
ejpam-3757	119	4	/	/	SYM
ejpam-3757	119	5	eur	eur	PROPN
ejpam-3757	119	6	.	.	PUNCT
ejpam-3757	120	1	j.	j.	PROPN
ejpam-3757	120	2	pure	pure	PROPN
ejpam-3757	120	3	appl	appl	PROPN
ejpam-3757	120	4	.	.	PROPN
ejpam-3757	120	5	math	math	PROPN
ejpam-3757	120	6	,	,	PUNCT
ejpam-3757	120	7	13	13	NUM
ejpam-3757	120	8	(	(	PUNCT
ejpam-3757	120	9	3	3	NUM
ejpam-3757	120	10	)	)	PUNCT
ejpam-3757	120	11	(	(	PUNCT
ejpam-3757	120	12	2020	2020	NUM
ejpam-3757	120	13	)	)	PUNCT
ejpam-3757	120	14	,	,	PUNCT
ejpam-3757	120	15	587	587	NUM
ejpam-3757	120	16	-	-	SYM
ejpam-3757	120	17	607	607	NUM
ejpam-3757	120	18	593	593	NUM
ejpam-3757	120	19	theorem	theorem	NOUN
ejpam-3757	120	20	3	3	X
ejpam-3757	120	21	.	.	PUNCT
ejpam-3757	121	1	let	let	VERB
ejpam-3757	121	2	m	m	PRON
ejpam-3757	121	3	,	,	PUNCT
ejpam-3757	122	1	l	l	PROPN
ejpam-3757	122	2	∈	∈	PROPN
ejpam-3757	122	3	n0	n0	PROPN
ejpam-3757	122	4	.	.	PUNCT
ejpam-3757	123	1	then	then	ADV
ejpam-3757	123	2	for	for	ADP
ejpam-3757	123	3	any	any	DET
ejpam-3757	123	4	real	real	ADJ
ejpam-3757	123	5	numbers	number	NOUN
ejpam-3757	123	6	u	u	NOUN
ejpam-3757	123	7	and	and	CCONJ
ejpam-3757	123	8	v	v	NOUN
ejpam-3757	123	9	,	,	PUNCT
ejpam-3757	123	10	we	we	PRON
ejpam-3757	123	11	have	have	VERB
ejpam-3757	123	12	∂m	∂m	PROPN
ejpam-3757	123	13	∂xm	∂xm	NOUN
ejpam-3757	123	14	f	f	X
ejpam-3757	123	15	(	(	PUNCT
ejpam-3757	123	16	l	l	NOUN
ejpam-3757	123	17	)	)	PUNCT
ejpam-3757	123	18	n	n	CCONJ
ejpam-3757	123	19	,	,	PUNCT
ejpam-3757	123	20	k(x	k(x	PROPN
ejpam-3757	123	21	,	,	PUNCT
ejpam-3757	123	22	y	y	PROPN
ejpam-3757	123	23	;	;	PUNCT
ejpam-3757	123	24	a	a	DET
ejpam-3757	123	25	,	,	PUNCT
ejpam-3757	123	26	b	b	NOUN
ejpam-3757	123	27	,	,	PUNCT
ejpam-3757	123	28	c;λ	c;λ	NUM
ejpam-3757	123	29	)	)	PUNCT
ejpam-3757	123	30	=	=	SYM
ejpam-3757	123	31	n	n	X
ejpam-3757	123	32	!	!	PUNCT
ejpam-3757	123	33	(	(	PUNCT
ejpam-3757	123	34	n−m	n−m	PROPN
ejpam-3757	123	35	)	)	PUNCT
ejpam-3757	123	36	!	!	PUNCT
ejpam-3757	124	1	(	(	PUNCT
ejpam-3757	124	2	ln	ln	PROPN
ejpam-3757	124	3	c)mf	c)mf	PROPN
ejpam-3757	124	4	(	(	PUNCT
ejpam-3757	124	5	l	l	NOUN
ejpam-3757	124	6	)	)	PUNCT
ejpam-3757	124	7	n−m	n−m	PROPN
ejpam-3757	124	8	,	,	PUNCT
ejpam-3757	124	9	k(x	k(x	PROPN
ejpam-3757	124	10	,	,	PUNCT
ejpam-3757	124	11	y	y	PROPN
ejpam-3757	124	12	;	;	PUNCT
ejpam-3757	124	13	a	a	DET
ejpam-3757	124	14	,	,	PUNCT
ejpam-3757	124	15	b	b	NOUN
ejpam-3757	124	16	,	,	PUNCT
ejpam-3757	124	17	c;λ	c;λ	NUM
ejpam-3757	124	18	)	)	PUNCT
ejpam-3757	124	19	,	,	PUNCT
ejpam-3757	124	20	(	(	PUNCT
ejpam-3757	125	1	10)∫	10)∫	NUM
ejpam-3757	125	2	v	v	NUM
ejpam-3757	125	3	u	u	PROPN
ejpam-3757	125	4	f	f	X
ejpam-3757	125	5	(	(	PUNCT
ejpam-3757	125	6	l	l	NOUN
ejpam-3757	125	7	)	)	PUNCT
ejpam-3757	125	8	n	n	CCONJ
ejpam-3757	125	9	,	,	PUNCT
ejpam-3757	125	10	k(x	k(x	PROPN
ejpam-3757	125	11	,	,	PUNCT
ejpam-3757	125	12	y	y	PROPN
ejpam-3757	125	13	;	;	PUNCT
ejpam-3757	125	14	a	a	DET
ejpam-3757	125	15	,	,	PUNCT
ejpam-3757	125	16	b	b	NOUN
ejpam-3757	125	17	,	,	PUNCT
ejpam-3757	125	18	c;λ)dx	c;λ)dx	NOUN
ejpam-3757	125	19	=	=	SYM
ejpam-3757	125	20	1	1	NUM
ejpam-3757	125	21	(	(	PUNCT
ejpam-3757	125	22	n+	n+	NOUN
ejpam-3757	125	23	1	1	X
ejpam-3757	125	24	)	)	PUNCT
ejpam-3757	125	25	ln	ln	NOUN
ejpam-3757	125	26	c	c	NOUN
ejpam-3757	125	27	[	[	PUNCT
ejpam-3757	125	28	f	f	X
ejpam-3757	125	29	(	(	PUNCT
ejpam-3757	125	30	l	l	NOUN
ejpam-3757	125	31	)	)	PUNCT
ejpam-3757	125	32	n+1,k(v	n+1,k(v	PROPN
ejpam-3757	125	33	,	,	PUNCT
ejpam-3757	125	34	y	y	PROPN
ejpam-3757	125	35	;	;	PUNCT
ejpam-3757	125	36	a	a	DET
ejpam-3757	125	37	,	,	PUNCT
ejpam-3757	125	38	b	b	NOUN
ejpam-3757	125	39	,	,	PUNCT
ejpam-3757	125	40	c;λ)−	c;λ)−	PROPN
ejpam-3757	125	41	f	f	PROPN
ejpam-3757	125	42	(	(	PUNCT
ejpam-3757	125	43	l	l	NOUN
ejpam-3757	125	44	)	)	PUNCT
ejpam-3757	125	45	n+1,k(u	n+1,k(u	PROPN
ejpam-3757	125	46	,	,	PUNCT
ejpam-3757	125	47	y	y	PROPN
ejpam-3757	125	48	;	;	PUNCT
ejpam-3757	125	49	a	a	DET
ejpam-3757	125	50	,	,	PUNCT
ejpam-3757	125	51	b	b	NOUN
ejpam-3757	125	52	,	,	PUNCT
ejpam-3757	125	53	c;λ	c;λ	NUM
ejpam-3757	125	54	)	)	PUNCT
ejpam-3757	125	55	]	]	PUNCT
ejpam-3757	125	56	.	.	PUNCT
ejpam-3757	126	1	(	(	PUNCT
ejpam-3757	126	2	11	11	NUM
ejpam-3757	126	3	)	)	PUNCT
ejpam-3757	126	4	expression	expression	NOUN
ejpam-3757	126	5	(	(	PUNCT
ejpam-3757	126	6	10	10	NUM
ejpam-3757	126	7	)	)	PUNCT
ejpam-3757	126	8	follows	follow	VERB
ejpam-3757	126	9	from	from	ADP
ejpam-3757	126	10	standard	standard	ADJ
ejpam-3757	126	11	arguments	argument	NOUN
ejpam-3757	126	12	and	and	CCONJ
ejpam-3757	126	13	induction	induction	NOUN
ejpam-3757	126	14	.	.	PUNCT
ejpam-3757	127	1	moreover	moreover	ADV
ejpam-3757	127	2	,	,	PUNCT
ejpam-3757	127	3	(	(	PUNCT
ejpam-3757	127	4	11	11	NUM
ejpam-3757	127	5	)	)	PUNCT
ejpam-3757	127	6	follows	follow	VERB
ejpam-3757	127	7	from	from	ADP
ejpam-3757	127	8	integrating	integrate	VERB
ejpam-3757	127	9	both	both	DET
ejpam-3757	127	10	sides	side	NOUN
ejpam-3757	127	11	of	of	ADP
ejpam-3757	127	12	(	(	PUNCT
ejpam-3757	127	13	10	10	NUM
ejpam-3757	127	14	)	)	PUNCT
ejpam-3757	127	15	with	with	ADP
ejpam-3757	127	16	respect	respect	NOUN
ejpam-3757	127	17	to	to	ADP
ejpam-3757	127	18	x	x	SYM
ejpam-3757	127	19	(	(	PUNCT
ejpam-3757	127	20	when	when	SCONJ
ejpam-3757	127	21	m	m	VERB
ejpam-3757	127	22	=	=	NOUN
ejpam-3757	127	23	1	1	NUM
ejpam-3757	127	24	)	)	PUNCT
ejpam-3757	127	25	.	.	PUNCT
ejpam-3757	128	1	3	3	X
ejpam-3757	128	2	.	.	X
ejpam-3757	128	3	explicit	explicit	ADJ
ejpam-3757	128	4	formulas	formula	NOUN
ejpam-3757	128	5	involving	involve	VERB
ejpam-3757	128	6	the	the	DET
ejpam-3757	128	7	gaussian	gaussian	ADJ
ejpam-3757	128	8	hypergeometric	hypergeometric	ADJ
ejpam-3757	128	9	function	function	NOUN
ejpam-3757	128	10	we	we	PRON
ejpam-3757	128	11	now	now	ADV
ejpam-3757	128	12	establish	establish	VERB
ejpam-3757	128	13	an	an	DET
ejpam-3757	128	14	explicit	explicit	ADJ
ejpam-3757	128	15	expression	expression	NOUN
ejpam-3757	128	16	of	of	ADP
ejpam-3757	128	17	f	f	PROPN
ejpam-3757	128	18	(	(	PUNCT
ejpam-3757	128	19	r	r	NOUN
ejpam-3757	128	20	)	)	PUNCT
ejpam-3757	128	21	n	n	CCONJ
ejpam-3757	128	22	,	,	PUNCT
ejpam-3757	128	23	k(x	k(x	PROPN
ejpam-3757	128	24	,	,	PUNCT
ejpam-3757	128	25	y	y	PROPN
ejpam-3757	128	26	;	;	PUNCT
ejpam-3757	128	27	a	a	DET
ejpam-3757	128	28	,	,	PUNCT
ejpam-3757	128	29	b	b	NOUN
ejpam-3757	128	30	,	,	PUNCT
ejpam-3757	128	31	c;λ	c;λ	NUM
ejpam-3757	128	32	)	)	PUNCT
ejpam-3757	128	33	in	in	ADP
ejpam-3757	128	34	terms	term	NOUN
ejpam-3757	128	35	of	of	ADP
ejpam-3757	128	36	the	the	DET
ejpam-3757	128	37	gaussian	gaussian	ADJ
ejpam-3757	128	38	hypergeometric	hypergeometric	ADJ
ejpam-3757	128	39	function	function	NOUN
ejpam-3757	128	40	2f1(a	2f1(a	NUM
ejpam-3757	128	41	,	,	PUNCT
ejpam-3757	128	42	b	b	NOUN
ejpam-3757	128	43	;	;	PUNCT
ejpam-3757	128	44	c	c	X
ejpam-3757	128	45	;	;	PUNCT
ejpam-3757	128	46	z	z	X
ejpam-3757	128	47	)	)	PUNCT
ejpam-3757	128	48	which	which	PRON
ejpam-3757	128	49	is	be	AUX
ejpam-3757	128	50	given	give	VERB
ejpam-3757	128	51	by	by	ADP
ejpam-3757	128	52	2f1(a	2f1(a	NUM
ejpam-3757	128	53	,	,	PUNCT
ejpam-3757	128	54	b	b	NOUN
ejpam-3757	128	55	;	;	PUNCT
ejpam-3757	128	56	c	c	X
ejpam-3757	128	57	;	;	PUNCT
ejpam-3757	128	58	z	z	X
ejpam-3757	128	59	)	)	PUNCT
ejpam-3757	128	60	:	:	PUNCT
ejpam-3757	129	1	=	=	SYM
ejpam-3757	129	2	∞∑	∞∑	NUM
ejpam-3757	129	3	n=0	n=0	NUM
ejpam-3757	129	4	(	(	PUNCT
ejpam-3757	129	5	a)n(b)n	a)n(b)n	PROPN
ejpam-3757	129	6	(	(	PUNCT
ejpam-3757	129	7	c)n	c)n	NOUN
ejpam-3757	129	8	zn	zn	PROPN
ejpam-3757	129	9	n	n	CCONJ
ejpam-3757	129	10	!	!	PROPN
ejpam-3757	129	11	,	,	PUNCT
ejpam-3757	129	12	where	where	SCONJ
ejpam-3757	129	13	c	c	NOUN
ejpam-3757	129	14	/∈	/∈	PUNCT
ejpam-3757	129	15	z0	z0	PROPN
ejpam-3757	129	16	;	;	PUNCT
ejpam-3757	129	17	|z|	|z|	NOUN
ejpam-3757	129	18	<	<	X
ejpam-3757	129	19	1	1	NUM
ejpam-3757	129	20	;	;	PUNCT
ejpam-3757	129	21	z	z	NOUN
ejpam-3757	129	22	=	=	SYM
ejpam-3757	129	23	1	1	NUM
ejpam-3757	129	24	and	and	CCONJ
ejpam-3757	129	25	<	<	X
ejpam-3757	129	26	(	(	PUNCT
ejpam-3757	129	27	c	c	X
ejpam-3757	129	28	−	−	PROPN
ejpam-3757	129	29	a	a	DET
ejpam-3757	129	30	−	−	PROPN
ejpam-3757	129	31	b	b	NOUN
ejpam-3757	129	32	)	)	PUNCT
ejpam-3757	129	33	>	>	X
ejpam-3757	129	34	0	0	NUM
ejpam-3757	129	35	;	;	PUNCT
ejpam-3757	129	36	z	z	NOUN
ejpam-3757	129	37	=	=	SYM
ejpam-3757	129	38	−1	−1	NOUN
ejpam-3757	129	39	and	and	CCONJ
ejpam-3757	129	40	<	<	X
ejpam-3757	129	41	(	(	PUNCT
ejpam-3757	129	42	c	c	X
ejpam-3757	129	43	−	−	PROPN
ejpam-3757	129	44	a	a	DET
ejpam-3757	129	45	−	−	PROPN
ejpam-3757	129	46	b	b	NOUN
ejpam-3757	129	47	)	)	PUNCT
ejpam-3757	129	48	>	>	X
ejpam-3757	129	49	−1	−1	NOUN
ejpam-3757	129	50	.	.	PUNCT
ejpam-3757	130	1	here	here	ADV
ejpam-3757	130	2	,	,	PUNCT
ejpam-3757	130	3	(	(	PUNCT
ejpam-3757	130	4	q)0	q)0	PROPN
ejpam-3757	130	5	=	=	SYM
ejpam-3757	130	6	1	1	NUM
ejpam-3757	130	7	,	,	PUNCT
ejpam-3757	130	8	and	and	CCONJ
ejpam-3757	130	9	(	(	PUNCT
ejpam-3757	130	10	q)n	q)n	X
ejpam-3757	130	11	=	=	SYM
ejpam-3757	130	12	q(q	q(q	NOUN
ejpam-3757	130	13	+	+	CCONJ
ejpam-3757	130	14	1	1	NUM
ejpam-3757	130	15	)	)	PUNCT
ejpam-3757	130	16	·	·	PUNCT
ejpam-3757	130	17	·	·	PUNCT
ejpam-3757	130	18	·	·	PUNCT
ejpam-3757	131	1	(	(	PUNCT
ejpam-3757	131	2	q	q	X
ejpam-3757	131	3	+	+	PUNCT
ejpam-3757	131	4	n−	n−	NOUN
ejpam-3757	131	5	1	1	NUM
ejpam-3757	131	6	)	)	PUNCT
ejpam-3757	131	7	for	for	ADP
ejpam-3757	131	8	n	n	X
ejpam-3757	131	9	>	>	ADP
ejpam-3757	131	10	0	0	X
ejpam-3757	131	11	.	.	PUNCT
ejpam-3757	131	12	theorem	theorem	NOUN
ejpam-3757	131	13	4	4	NUM
ejpam-3757	131	14	.	.	NOUN
ejpam-3757	131	15	for	for	ADP
ejpam-3757	131	16	n	n	CCONJ
ejpam-3757	131	17	,	,	PUNCT
ejpam-3757	131	18	k	k	PROPN
ejpam-3757	131	19	,	,	PUNCT
ejpam-3757	131	20	r	r	PROPN
ejpam-3757	131	21	∈	∈	PROPN
ejpam-3757	131	22	n0	n0	PROPN
ejpam-3757	131	23	and	and	CCONJ
ejpam-3757	131	24	y	y	PROPN
ejpam-3757	132	1	−	−	PROPN
ejpam-3757	132	2	λy	λy	PROPN
ejpam-3757	132	3	6=	6=	ADP
ejpam-3757	132	4	−1	−1	NOUN
ejpam-3757	132	5	,	,	PUNCT
ejpam-3757	132	6	we	we	PRON
ejpam-3757	132	7	have	have	VERB
ejpam-3757	132	8	f	f	X
ejpam-3757	132	9	(	(	PUNCT
ejpam-3757	132	10	r	r	NOUN
ejpam-3757	132	11	)	)	PUNCT
ejpam-3757	132	12	n	n	CCONJ
ejpam-3757	132	13	,	,	PUNCT
ejpam-3757	132	14	k(x	k(x	PROPN
ejpam-3757	132	15	,	,	PUNCT
ejpam-3757	132	16	y	y	PROPN
ejpam-3757	132	17	;	;	PUNCT
ejpam-3757	132	18	a	a	DET
ejpam-3757	132	19	,	,	PUNCT
ejpam-3757	132	20	b	b	NOUN
ejpam-3757	132	21	,	,	PUNCT
ejpam-3757	132	22	c;λ	c;λ	NUM
ejpam-3757	132	23	)	)	PUNCT
ejpam-3757	132	24	=	=	SYM
ejpam-3757	132	25	(	(	PUNCT
ejpam-3757	132	26	kr	kr	PROPN
ejpam-3757	132	27	)	)	PUNCT
ejpam-3757	132	28	!	!	PUNCT
ejpam-3757	133	1	(	(	PUNCT
ejpam-3757	133	2	n	n	CCONJ
ejpam-3757	133	3	kr	kr	PROPN
ejpam-3757	133	4	)	)	PUNCT
ejpam-3757	133	5	n−kr∑	n−kr∑	NOUN
ejpam-3757	133	6	i=0	i=0	PROPN
ejpam-3757	133	7	(	(	PUNCT
ejpam-3757	133	8	n−	n−	NOUN
ejpam-3757	133	9	kr	kr	PROPN
ejpam-3757	133	10	i	i	PROPN
ejpam-3757	133	11	)	)	PUNCT
ejpam-3757	133	12	(	(	PUNCT
ejpam-3757	133	13	r	r	NOUN
ejpam-3757	133	14	+	+	X
ejpam-3757	133	15	i−	i−	PROPN
ejpam-3757	133	16	1	1	NUM
ejpam-3757	133	17	i	i	NOUN
ejpam-3757	133	18	)	)	PUNCT
ejpam-3757	134	1	[	[	PUNCT
ejpam-3757	134	2	−λy	−λy	X
ejpam-3757	134	3	ln	ln	ADJ
ejpam-3757	134	4	(	(	PUNCT
ejpam-3757	134	5	b	b	PROPN
ejpam-3757	134	6	a	a	NOUN
ejpam-3757	134	7	)	)	PUNCT
ejpam-3757	134	8	]	]	X
ejpam-3757	134	9	i	i	PRON
ejpam-3757	134	10	(	(	PUNCT
ejpam-3757	134	11	y	y	PROPN
ejpam-3757	134	12	+	+	NUM
ejpam-3757	134	13	1−	1−	NUM
ejpam-3757	134	14	λy)r+i	λy)r+i	NUM
ejpam-3757	134	15	×	×	PROPN
ejpam-3757	134	16	i∑	i∑	PROPN
ejpam-3757	134	17	m=0	m=0	PROPN
ejpam-3757	134	18	(	(	PUNCT
ejpam-3757	134	19	−1)mmi	−1)mmi	PROPN
ejpam-3757	134	20	(	(	PUNCT
ejpam-3757	134	21	i	i	PRON
ejpam-3757	134	22	m	m	VERB
ejpam-3757	134	23	)	)	PUNCT
ejpam-3757	135	1	[	[	PUNCT
ejpam-3757	135	2	x	x	X
ejpam-3757	135	3	ln	ln	ADJ
ejpam-3757	135	4	c−	c−	NOUN
ejpam-3757	135	5	r	r	NOUN
ejpam-3757	135	6	ln	ln	NOUN
ejpam-3757	135	7	a+m	a+m	NUM
ejpam-3757	135	8	ln	ln	NOUN
ejpam-3757	135	9	(	(	PUNCT
ejpam-3757	135	10	b	b	NOUN
ejpam-3757	135	11	a	a	NOUN
ejpam-3757	135	12	)	)	PUNCT
ejpam-3757	135	13	]	]	PUNCT
ejpam-3757	135	14	n−kr−i	n−kr−i	X
ejpam-3757	135	15	2f1	2f1	NUM
ejpam-3757	135	16	(	(	PUNCT
ejpam-3757	135	17	−n+	−n+	ADP
ejpam-3757	135	18	kr	kr	PROPN
ejpam-3757	136	1	+	+	CCONJ
ejpam-3757	136	2	i	i	PROPN
ejpam-3757	136	3	,	,	PUNCT
ejpam-3757	136	4	i	i	PRON
ejpam-3757	136	5	;	;	PUNCT
ejpam-3757	136	6	1	1	NUM
ejpam-3757	137	1	+	+	CCONJ
ejpam-3757	137	2	i	i	PRON
ejpam-3757	137	3	;	;	PUNCT
ejpam-3757	137	4	m	m	VERB
ejpam-3757	137	5	m+	m+	NUM
ejpam-3757	137	6	x	x	SYM
ejpam-3757	137	7	ln	ln	ADJ
ejpam-3757	137	8	c−r	c−r	VERB
ejpam-3757	137	9	ln	ln	ADP
ejpam-3757	137	10	a	a	DET
ejpam-3757	137	11	ln	ln	ADJ
ejpam-3757	137	12	b−ln	b−ln	PROPN
ejpam-3757	137	13	a	a	PRON
ejpam-3757	137	14	)	)	PUNCT
ejpam-3757	137	15	.	.	PUNCT
ejpam-3757	138	1	proof	proof	NOUN
ejpam-3757	138	2	:	:	PUNCT
ejpam-3757	138	3	note	note	VERB
ejpam-3757	138	4	that	that	SCONJ
ejpam-3757	138	5	the	the	DET
ejpam-3757	138	6	left	left	ADJ
ejpam-3757	138	7	hand	hand	NOUN
ejpam-3757	138	8	side	side	NOUN
ejpam-3757	138	9	of	of	ADP
ejpam-3757	138	10	(	(	PUNCT
ejpam-3757	138	11	3	3	X
ejpam-3757	138	12	)	)	PUNCT
ejpam-3757	138	13	can	can	AUX
ejpam-3757	138	14	be	be	AUX
ejpam-3757	138	15	written	write	VERB
ejpam-3757	138	16	as	as	ADP
ejpam-3757	138	17	(	(	PUNCT
ejpam-3757	138	18	y	y	PROPN
ejpam-3757	138	19	+	+	PROPN
ejpam-3757	138	20	1−	1−	NUM
ejpam-3757	138	21	λy)−r	λy)−r	NOUN
ejpam-3757	138	22	[	[	PUNCT
ejpam-3757	138	23	1−	1−	NUM
ejpam-3757	138	24	λy	λy	PROPN
ejpam-3757	138	25	y	y	PROPN
ejpam-3757	138	26	+	+	NUM
ejpam-3757	138	27	1−	1−	NUM
ejpam-3757	138	28	λy	λy	PROPN
ejpam-3757	138	29	(	(	PUNCT
ejpam-3757	138	30	et	et	NOUN
ejpam-3757	138	31	ln	ln	PROPN
ejpam-3757	138	32	(	(	PUNCT
ejpam-3757	138	33	b	b	PROPN
ejpam-3757	138	34	a	a	NOUN
ejpam-3757	138	35	)	)	PUNCT
ejpam-3757	138	36	−	−	PROPN
ejpam-3757	138	37	1	1	NUM
ejpam-3757	138	38	)	)	PUNCT
ejpam-3757	138	39	]	]	PUNCT
ejpam-3757	138	40	−r	−r	PROPN
ejpam-3757	138	41	tkrex	tkrex	PROPN
ejpam-3757	138	42	ln	ln	PROPN
ejpam-3757	138	43	c−r	c−r	PROPN
ejpam-3757	138	44	ln	ln	ADJ
ejpam-3757	138	45	a.	a.	NOUN
ejpam-3757	138	46	let	let	VERB
ejpam-3757	138	47	dt	dt	NOUN
ejpam-3757	138	48	:	:	PUNCT
ejpam-3757	138	49	=	=	SYM
ejpam-3757	139	1	d	d	NOUN
ejpam-3757	139	2	dt	dt	INTJ
ejpam-3757	139	3	.	.	PUNCT
ejpam-3757	140	1	thus	thus	ADV
ejpam-3757	140	2	,	,	PUNCT
ejpam-3757	140	3	f	f	PROPN
ejpam-3757	140	4	(	(	PUNCT
ejpam-3757	140	5	r	r	NOUN
ejpam-3757	140	6	)	)	PUNCT
ejpam-3757	140	7	n	n	CCONJ
ejpam-3757	140	8	,	,	PUNCT
ejpam-3757	140	9	k(x	k(x	PROPN
ejpam-3757	140	10	,	,	PUNCT
ejpam-3757	140	11	y	y	PROPN
ejpam-3757	140	12	;	;	PUNCT
ejpam-3757	140	13	a	a	DET
ejpam-3757	140	14	,	,	PUNCT
ejpam-3757	140	15	b	b	NOUN
ejpam-3757	140	16	,	,	PUNCT
ejpam-3757	140	17	c;λ	c;λ	NUM
ejpam-3757	140	18	)	)	PUNCT
ejpam-3757	140	19	=	=	SYM
ejpam-3757	140	20	(	(	PUNCT
ejpam-3757	140	21	y	y	PROPN
ejpam-3757	140	22	+	+	SYM
ejpam-3757	140	23	1−	1−	NUM
ejpam-3757	140	24	λy)−r	λy)−r	NOUN
ejpam-3757	140	25	n∑	n∑	X
ejpam-3757	140	26	s=0	s=0	PROPN
ejpam-3757	140	27	(	(	PUNCT
ejpam-3757	140	28	n	n	NOUN
ejpam-3757	140	29	s	s	PART
ejpam-3757	140	30	)	)	PUNCT
ejpam-3757	140	31	(	(	PUNCT
ejpam-3757	140	32	x	x	X
ejpam-3757	140	33	ln	ln	ADJ
ejpam-3757	140	34	c−	c−	NOUN
ejpam-3757	140	35	r	r	NOUN
ejpam-3757	140	36	ln	ln	ADJ
ejpam-3757	140	37	a)n−s	a)n−s	ADJ
ejpam-3757	140	38	×ds	×ds	NOUN
ejpam-3757	140	39	t	t	PROPN
ejpam-3757	140	40	[	[	PUNCT
ejpam-3757	140	41	tkr	tkr	PROPN
ejpam-3757	140	42	(	(	PUNCT
ejpam-3757	140	43	1−	1−	NUM
ejpam-3757	140	44	λy	λy	PROPN
ejpam-3757	140	45	y	y	PROPN
ejpam-3757	140	46	+	+	NUM
ejpam-3757	140	47	1−	1−	NUM
ejpam-3757	140	48	λy	λy	PROPN
ejpam-3757	140	49	[	[	PUNCT
ejpam-3757	140	50	et	et	NOUN
ejpam-3757	140	51	ln	ln	PROPN
ejpam-3757	140	52	(	(	PUNCT
ejpam-3757	140	53	b	b	PROPN
ejpam-3757	140	54	a	a	NOUN
ejpam-3757	140	55	)	)	PUNCT
ejpam-3757	140	56	−	−	PROPN
ejpam-3757	140	57	1	1	NUM
ejpam-3757	140	58	]	]	PUNCT
ejpam-3757	140	59	)	)	PUNCT
ejpam-3757	140	60	−r	−r	VERB
ejpam-3757	140	61	]	]	X
ejpam-3757	141	1	t=0	t=0	PROPN
ejpam-3757	141	2	=	=	SYM
ejpam-3757	141	3	(	(	PUNCT
ejpam-3757	141	4	y	y	PROPN
ejpam-3757	141	5	+	+	SYM
ejpam-3757	141	6	1−	1−	NUM
ejpam-3757	141	7	λy)−r	λy)−r	NOUN
ejpam-3757	141	8	n∑	n∑	X
ejpam-3757	141	9	s=0	s=0	PROPN
ejpam-3757	142	1	(	(	PUNCT
ejpam-3757	142	2	n	n	NOUN
ejpam-3757	142	3	s	s	PART
ejpam-3757	142	4	)	)	PUNCT
ejpam-3757	143	1	(	(	PUNCT
ejpam-3757	143	2	x	x	X
ejpam-3757	143	3	ln	ln	ADJ
ejpam-3757	143	4	c−	c−	NOUN
ejpam-3757	143	5	r	r	NOUN
ejpam-3757	143	6	ln	ln	ADJ
ejpam-3757	143	7	a)n−s(kr	a)n−s(kr	NOUN
ejpam-3757	143	8	)	)	PUNCT
ejpam-3757	143	9	!	!	PUNCT
ejpam-3757	144	1	(	(	PUNCT
ejpam-3757	144	2	s	s	X
ejpam-3757	144	3	kr	kr	PROPN
ejpam-3757	144	4	)	)	PUNCT
ejpam-3757	144	5	n.	n.	PROPN
ejpam-3757	144	6	g.	g.	PROPN
ejpam-3757	144	7	acala	acala	PROPN
ejpam-3757	144	8	/	/	SYM
ejpam-3757	144	9	eur	eur	PROPN
ejpam-3757	144	10	.	.	PUNCT
ejpam-3757	145	1	j.	j.	PROPN
ejpam-3757	145	2	pure	pure	PROPN
ejpam-3757	145	3	appl	appl	PROPN
ejpam-3757	145	4	.	.	PROPN
ejpam-3757	145	5	math	math	PROPN
ejpam-3757	145	6	,	,	PUNCT
ejpam-3757	145	7	13	13	NUM
ejpam-3757	145	8	(	(	PUNCT
ejpam-3757	145	9	3	3	NUM
ejpam-3757	145	10	)	)	PUNCT
ejpam-3757	145	11	(	(	PUNCT
ejpam-3757	145	12	2020	2020	NUM
ejpam-3757	145	13	)	)	PUNCT
ejpam-3757	145	14	,	,	PUNCT
ejpam-3757	145	15	587	587	NUM
ejpam-3757	145	16	-	-	SYM
ejpam-3757	145	17	607	607	NUM
ejpam-3757	145	18	594	594	NUM
ejpam-3757	145	19	×ds−kr	×ds−kr	NOUN
ejpam-3757	145	20	t	t	NOUN
ejpam-3757	146	1	[	[	X
ejpam-3757	146	2	(	(	PUNCT
ejpam-3757	146	3	1−	1−	NUM
ejpam-3757	146	4	λy	λy	NOUN
ejpam-3757	146	5	y	y	PROPN
ejpam-3757	146	6	+	+	NUM
ejpam-3757	146	7	1−	1−	NUM
ejpam-3757	146	8	λy	λy	PROPN
ejpam-3757	146	9	[	[	PUNCT
ejpam-3757	146	10	et	et	NOUN
ejpam-3757	146	11	ln	ln	PROPN
ejpam-3757	146	12	(	(	PUNCT
ejpam-3757	146	13	b	b	PROPN
ejpam-3757	146	14	a	a	NOUN
ejpam-3757	146	15	)	)	PUNCT
ejpam-3757	146	16	−	−	PROPN
ejpam-3757	146	17	1	1	NUM
ejpam-3757	146	18	]	]	PUNCT
ejpam-3757	146	19	)	)	PUNCT
ejpam-3757	146	20	−r	−r	VERB
ejpam-3757	146	21	]	]	X
ejpam-3757	146	22	t=0	t=0	PUNCT
ejpam-3757	146	23	.	.	PUNCT
ejpam-3757	147	1	using	use	VERB
ejpam-3757	147	2	(	(	PUNCT
ejpam-3757	147	3	a+	a+	PUNCT
ejpam-3757	147	4	w)−r	w)−r	ADP
ejpam-3757	147	5	=	=	SYM
ejpam-3757	147	6	∞∑	∞∑	NUM
ejpam-3757	147	7	i=0	i=0	PROPN
ejpam-3757	147	8	(	(	PUNCT
ejpam-3757	147	9	r	r	NOUN
ejpam-3757	147	10	+	+	X
ejpam-3757	147	11	i−	i−	PROPN
ejpam-3757	147	12	1	1	NUM
ejpam-3757	147	13	i	i	NOUN
ejpam-3757	147	14	)	)	PUNCT
ejpam-3757	147	15	a−r−i(−w)i	a−r−i(−w)i	PROPN
ejpam-3757	147	16	,	,	PUNCT
ejpam-3757	147	17	(	(	PUNCT
ejpam-3757	147	18	|w|	|w|	VERB
ejpam-3757	147	19	<	<	X
ejpam-3757	147	20	|a|	|a|	NOUN
ejpam-3757	147	21	)	)	PUNCT
ejpam-3757	147	22	and	and	CCONJ
ejpam-3757	147	23	(	(	PUNCT
ejpam-3757	147	24	et	et	NOUN
ejpam-3757	147	25	−	−	PROPN
ejpam-3757	147	26	1)i	1)i	NUM
ejpam-3757	147	27	=	=	SYM
ejpam-3757	147	28	i	i	NOUN
ejpam-3757	147	29	!	!	PUNCT
ejpam-3757	148	1	∞∑	∞∑	NUM
ejpam-3757	148	2	j=1	j=1	ADJ
ejpam-3757	148	3	s(j	s(j	PROPN
ejpam-3757	148	4	,	,	PUNCT
ejpam-3757	148	5	i	i	PROPN
ejpam-3757	148	6	)	)	PUNCT
ejpam-3757	148	7	tn	tn	PROPN
ejpam-3757	148	8	n	n	PROPN
ejpam-3757	148	9	!	!	PROPN
ejpam-3757	148	10	,	,	PUNCT
ejpam-3757	148	11	where	where	SCONJ
ejpam-3757	148	12	s(j	s(j	PROPN
ejpam-3757	148	13	,	,	PUNCT
ejpam-3757	148	14	i	i	PROPN
ejpam-3757	148	15	)	)	PUNCT
ejpam-3757	148	16	is	be	AUX
ejpam-3757	148	17	the	the	DET
ejpam-3757	148	18	stirling	stirling	NOUN
ejpam-3757	148	19	numbers	number	NOUN
ejpam-3757	148	20	of	of	ADP
ejpam-3757	148	21	the	the	DET
ejpam-3757	148	22	second	second	ADJ
ejpam-3757	148	23	kind	kind	NOUN
ejpam-3757	148	24	,	,	PUNCT
ejpam-3757	148	25	we	we	PRON
ejpam-3757	148	26	obtain	obtain	VERB
ejpam-3757	148	27	f	f	NOUN
ejpam-3757	148	28	(	(	PUNCT
ejpam-3757	148	29	r	r	NOUN
ejpam-3757	148	30	)	)	PUNCT
ejpam-3757	148	31	n	n	CCONJ
ejpam-3757	148	32	,	,	PUNCT
ejpam-3757	148	33	k(x	k(x	PROPN
ejpam-3757	148	34	,	,	PUNCT
ejpam-3757	148	35	y	y	PROPN
ejpam-3757	148	36	;	;	PUNCT
ejpam-3757	148	37	a	a	DET
ejpam-3757	148	38	,	,	PUNCT
ejpam-3757	148	39	b	b	NOUN
ejpam-3757	148	40	,	,	PUNCT
ejpam-3757	148	41	c;λy	c;λy	NOUN
ejpam-3757	148	42	)	)	PUNCT
ejpam-3757	148	43	=	=	PUNCT
ejpam-3757	149	1	n∑	n∑	PROPN
ejpam-3757	149	2	s	s	PROPN
ejpam-3757	149	3	=	=	X
ejpam-3757	149	4	kr	kr	X
ejpam-3757	149	5	(	(	PUNCT
ejpam-3757	149	6	n	n	NOUN
ejpam-3757	149	7	s	s	PART
ejpam-3757	149	8	)	)	PUNCT
ejpam-3757	149	9	(	(	PUNCT
ejpam-3757	149	10	x	x	X
ejpam-3757	149	11	ln	ln	ADJ
ejpam-3757	149	12	c−	c−	NOUN
ejpam-3757	149	13	r	r	NOUN
ejpam-3757	149	14	ln	ln	ADJ
ejpam-3757	149	15	a)n−s(kr	a)n−s(kr	NOUN
ejpam-3757	149	16	)	)	PUNCT
ejpam-3757	149	17	!	!	PUNCT
ejpam-3757	150	1	(	(	PUNCT
ejpam-3757	150	2	s	s	X
ejpam-3757	150	3	kr	kr	PROPN
ejpam-3757	150	4	)	)	PUNCT
ejpam-3757	150	5	×	×	PROPN
ejpam-3757	150	6	s−kr∑	s−kr∑	PROPN
ejpam-3757	150	7	i=0	i=0	PROPN
ejpam-3757	151	1	(	(	PUNCT
ejpam-3757	152	1	r	r	NOUN
ejpam-3757	152	2	+	+	X
ejpam-3757	152	3	i−	i−	PROPN
ejpam-3757	152	4	1	1	NUM
ejpam-3757	152	5	i	i	NOUN
ejpam-3757	152	6	)	)	PUNCT
ejpam-3757	153	1	(	(	PUNCT
ejpam-3757	153	2	λy)i	λy)i	PROPN
ejpam-3757	153	3	(	(	PUNCT
ejpam-3757	153	4	y	y	PROPN
ejpam-3757	153	5	+	+	NUM
ejpam-3757	153	6	1−	1−	NUM
ejpam-3757	153	7	λy)r+i	λy)r+i	PROPN
ejpam-3757	153	8	[	[	PUNCT
ejpam-3757	153	9	ln	ln	X
ejpam-3757	153	10	(	(	PUNCT
ejpam-3757	153	11	b	b	NOUN
ejpam-3757	153	12	a	a	NOUN
ejpam-3757	153	13	)	)	PUNCT
ejpam-3757	153	14	]	]	X
ejpam-3757	153	15	s−kr	s−kr	PROPN
ejpam-3757	153	16	i!s(s−	i!s(s−	PROPN
ejpam-3757	153	17	kr	kr	PROPN
ejpam-3757	153	18	,	,	PUNCT
ejpam-3757	153	19	i	i	PROPN
ejpam-3757	153	20	)	)	PUNCT
ejpam-3757	153	21	.	.	PUNCT
ejpam-3757	154	1	using	use	VERB
ejpam-3757	154	2	the	the	DET
ejpam-3757	154	3	explicit	explicit	ADJ
ejpam-3757	154	4	formula	formula	NOUN
ejpam-3757	154	5	s(j	s(j	PROPN
ejpam-3757	154	6	,	,	PUNCT
ejpam-3757	154	7	i	i	NOUN
ejpam-3757	154	8	)	)	PUNCT
ejpam-3757	154	9	=	=	PUNCT
ejpam-3757	154	10	1	1	NUM
ejpam-3757	154	11	i	i	NOUN
ejpam-3757	154	12	!	!	PUNCT
ejpam-3757	155	1	i∑	i∑	PROPN
ejpam-3757	156	1	m=0	m=0	PROPN
ejpam-3757	156	2	(	(	PUNCT
ejpam-3757	156	3	−1)i−m	−1)i−m	PROPN
ejpam-3757	156	4	(	(	PUNCT
ejpam-3757	156	5	i	i	PRON
ejpam-3757	156	6	m	m	VERB
ejpam-3757	156	7	)	)	PUNCT
ejpam-3757	157	1	mj	mj	PROPN
ejpam-3757	157	2	and	and	CCONJ
ejpam-3757	157	3	the	the	DET
ejpam-3757	157	4	identity	identity	NOUN
ejpam-3757	157	5	(	(	PUNCT
ejpam-3757	157	6	n	n	NOUN
ejpam-3757	157	7	s	s	PART
ejpam-3757	157	8	)	)	PUNCT
ejpam-3757	157	9	(	(	PUNCT
ejpam-3757	157	10	s	s	X
ejpam-3757	157	11	kr	kr	PROPN
ejpam-3757	157	12	)	)	PUNCT
ejpam-3757	157	13	=	=	PUNCT
ejpam-3757	157	14	(	(	PUNCT
ejpam-3757	157	15	n	n	CCONJ
ejpam-3757	157	16	kr	kr	PROPN
ejpam-3757	157	17	)	)	PUNCT
ejpam-3757	158	1	(	(	PUNCT
ejpam-3757	158	2	n−	n−	NOUN
ejpam-3757	158	3	kr	kr	PROPN
ejpam-3757	158	4	n−	n−	NOUN
ejpam-3757	158	5	s	s	PART
ejpam-3757	158	6	)	)	PUNCT
ejpam-3757	158	7	,	,	PUNCT
ejpam-3757	158	8	we	we	PRON
ejpam-3757	158	9	get	get	VERB
ejpam-3757	158	10	f	f	NOUN
ejpam-3757	158	11	(	(	PUNCT
ejpam-3757	158	12	r	r	NOUN
ejpam-3757	158	13	)	)	PUNCT
ejpam-3757	158	14	n	n	CCONJ
ejpam-3757	158	15	,	,	PUNCT
ejpam-3757	158	16	k(x	k(x	PROPN
ejpam-3757	158	17	,	,	PUNCT
ejpam-3757	158	18	y	y	PROPN
ejpam-3757	158	19	;	;	PUNCT
ejpam-3757	158	20	a	a	DET
ejpam-3757	158	21	,	,	PUNCT
ejpam-3757	158	22	b	b	NOUN
ejpam-3757	158	23	,	,	PUNCT
ejpam-3757	158	24	c;λ	c;λ	NUM
ejpam-3757	158	25	)	)	PUNCT
ejpam-3757	158	26	=	=	PUNCT
ejpam-3757	159	1	n∑	n∑	PROPN
ejpam-3757	159	2	s	s	PROPN
ejpam-3757	159	3	=	=	X
ejpam-3757	159	4	kr	kr	X
ejpam-3757	159	5	(	(	PUNCT
ejpam-3757	159	6	n	n	NOUN
ejpam-3757	159	7	s	s	PART
ejpam-3757	159	8	)	)	PUNCT
ejpam-3757	159	9	(	(	PUNCT
ejpam-3757	159	10	kr	kr	PROPN
ejpam-3757	159	11	)	)	PUNCT
ejpam-3757	159	12	!	!	PUNCT
ejpam-3757	160	1	(	(	PUNCT
ejpam-3757	160	2	s	s	X
ejpam-3757	160	3	kr	kr	PROPN
ejpam-3757	160	4	)	)	PUNCT
ejpam-3757	160	5	s−kr∑	s−kr∑	NOUN
ejpam-3757	160	6	i=0	i=0	PROPN
ejpam-3757	160	7	(	(	PUNCT
ejpam-3757	160	8	r	r	NOUN
ejpam-3757	160	9	+	+	X
ejpam-3757	160	10	i−	i−	PROPN
ejpam-3757	160	11	1	1	NUM
ejpam-3757	160	12	i	i	NOUN
ejpam-3757	160	13	)	)	PUNCT
ejpam-3757	161	1	(	(	PUNCT
ejpam-3757	161	2	λy)i	λy)i	PROPN
ejpam-3757	161	3	(	(	PUNCT
ejpam-3757	161	4	y	y	PROPN
ejpam-3757	161	5	+	+	NUM
ejpam-3757	161	6	1−	1−	NUM
ejpam-3757	161	7	λy)r+i	λy)r+i	NUM
ejpam-3757	161	8	×	×	NOUN
ejpam-3757	161	9	(	(	PUNCT
ejpam-3757	161	10	x	x	X
ejpam-3757	161	11	ln	ln	ADJ
ejpam-3757	161	12	c−	c−	NOUN
ejpam-3757	161	13	r	r	NOUN
ejpam-3757	161	14	ln	ln	NOUN
ejpam-3757	161	15	a)n−s	a)n−s	PROPN
ejpam-3757	161	16	[	[	PUNCT
ejpam-3757	161	17	ln	ln	X
ejpam-3757	161	18	(	(	PUNCT
ejpam-3757	161	19	b	b	NOUN
ejpam-3757	161	20	a	a	NOUN
ejpam-3757	161	21	)	)	PUNCT
ejpam-3757	161	22	]	]	X
ejpam-3757	161	23	s−kr	s−kr	PROPN
ejpam-3757	161	24	i∑	i∑	PROPN
ejpam-3757	161	25	m=0	m=0	PROPN
ejpam-3757	161	26	(	(	PUNCT
ejpam-3757	161	27	−1)i−m	−1)i−m	PROPN
ejpam-3757	161	28	(	(	PUNCT
ejpam-3757	161	29	i	i	PRON
ejpam-3757	161	30	m	m	VERB
ejpam-3757	161	31	)	)	PUNCT
ejpam-3757	161	32	ms−kr	ms−kr	NOUN
ejpam-3757	161	33	.	.	PUNCT
ejpam-3757	162	1	=	=	PRON
ejpam-3757	162	2	(	(	PUNCT
ejpam-3757	162	3	kr	kr	PROPN
ejpam-3757	162	4	)	)	PUNCT
ejpam-3757	162	5	!	!	PUNCT
ejpam-3757	163	1	(	(	PUNCT
ejpam-3757	163	2	n	n	CCONJ
ejpam-3757	163	3	kr	kr	PROPN
ejpam-3757	163	4	)	)	PUNCT
ejpam-3757	163	5	n−kr∑	n−kr∑	VERB
ejpam-3757	163	6	i=0	i=0	PROPN
ejpam-3757	163	7	n−i−kr∑	n−i−kr∑	NOUN
ejpam-3757	163	8	s=0	s=0	PROPN
ejpam-3757	163	9	(	(	PUNCT
ejpam-3757	163	10	n−	n−	NOUN
ejpam-3757	163	11	kr	kr	X
ejpam-3757	163	12	n−	n−	PROPN
ejpam-3757	163	13	s−	s−	PROPN
ejpam-3757	163	14	kr	kr	PROPN
ejpam-3757	163	15	−	−	PROPN
ejpam-3757	163	16	i	i	INTJ
ejpam-3757	163	17	)	)	PUNCT
ejpam-3757	163	18	(	(	PUNCT
ejpam-3757	163	19	r	r	NOUN
ejpam-3757	163	20	+	+	X
ejpam-3757	163	21	i−	i−	PROPN
ejpam-3757	163	22	1	1	NUM
ejpam-3757	163	23	i	i	NOUN
ejpam-3757	163	24	)	)	PUNCT
ejpam-3757	164	1	[	[	PUNCT
ejpam-3757	164	2	ln	ln	X
ejpam-3757	164	3	(	(	PUNCT
ejpam-3757	164	4	b	b	NOUN
ejpam-3757	164	5	a	a	NOUN
ejpam-3757	164	6	)	)	PUNCT
ejpam-3757	164	7	]	]	PUNCT
ejpam-3757	164	8	s+i	s+i	PROPN
ejpam-3757	164	9	(	(	PUNCT
ejpam-3757	164	10	−λy)i	−λy)i	PROPN
ejpam-3757	164	11	(	(	PUNCT
ejpam-3757	164	12	y	y	PROPN
ejpam-3757	164	13	+	+	NUM
ejpam-3757	164	14	1−	1−	NUM
ejpam-3757	164	15	λy)r+i	λy)r+i	PROPN
ejpam-3757	164	16	(	(	PUNCT
ejpam-3757	164	17	x	x	SYM
ejpam-3757	164	18	ln	ln	ADJ
ejpam-3757	164	19	c−	c−	NOUN
ejpam-3757	164	20	r	r	NOUN
ejpam-3757	164	21	ln	ln	NOUN
ejpam-3757	164	22	a)n−s−i−kr	a)n−s−i−kr	PROPN
ejpam-3757	164	23	i∑	i∑	PROPN
ejpam-3757	164	24	m=0	m=0	PROPN
ejpam-3757	164	25	(	(	PUNCT
ejpam-3757	164	26	−1)m	−1)m	PROPN
ejpam-3757	164	27	(	(	PUNCT
ejpam-3757	164	28	i	i	PRON
ejpam-3757	164	29	m	m	VERB
ejpam-3757	164	30	)	)	PUNCT
ejpam-3757	164	31	ms+i	ms+i	PROPN
ejpam-3757	164	32	.	.	PUNCT
ejpam-3757	165	1	using	use	VERB
ejpam-3757	165	2	the	the	DET
ejpam-3757	165	3	identity	identity	NOUN
ejpam-3757	165	4	(	(	PUNCT
ejpam-3757	165	5	n−	n−	NOUN
ejpam-3757	165	6	s−	s−	PROPN
ejpam-3757	165	7	kr	kr	PROPN
ejpam-3757	165	8	−	−	PROPN
ejpam-3757	165	9	i	i	PROPN
ejpam-3757	165	10	)	)	PUNCT
ejpam-3757	165	11	!	!	PUNCT
ejpam-3757	166	1	=	=	PUNCT
ejpam-3757	166	2	(	(	PUNCT
ejpam-3757	166	3	−1)s(n−	−1)s(n−	X
ejpam-3757	166	4	kr	kr	PROPN
ejpam-3757	166	5	−	−	PROPN
ejpam-3757	166	6	i	i	PROPN
ejpam-3757	166	7	)	)	PUNCT
ejpam-3757	166	8	!	!	PUNCT
ejpam-3757	167	1	(	(	PUNCT
ejpam-3757	167	2	−n+	−n+	ADP
ejpam-3757	167	3	kr	kr	PROPN
ejpam-3757	167	4	+	+	CCONJ
ejpam-3757	167	5	i)s	i)	NOUN
ejpam-3757	167	6	,	,	PUNCT
ejpam-3757	167	7	n.	n.	NOUN
ejpam-3757	167	8	g.	g.	PROPN
ejpam-3757	167	9	acala	acala	PROPN
ejpam-3757	167	10	/	/	SYM
ejpam-3757	167	11	eur	eur	PROPN
ejpam-3757	167	12	.	.	PUNCT
ejpam-3757	168	1	j.	j.	PROPN
ejpam-3757	168	2	pure	pure	PROPN
ejpam-3757	168	3	appl	appl	PROPN
ejpam-3757	168	4	.	.	PROPN
ejpam-3757	168	5	math	math	PROPN
ejpam-3757	168	6	,	,	PUNCT
ejpam-3757	168	7	13	13	NUM
ejpam-3757	168	8	(	(	PUNCT
ejpam-3757	168	9	3	3	NUM
ejpam-3757	168	10	)	)	PUNCT
ejpam-3757	168	11	(	(	PUNCT
ejpam-3757	168	12	2020	2020	NUM
ejpam-3757	168	13	)	)	PUNCT
ejpam-3757	168	14	,	,	PUNCT
ejpam-3757	168	15	587	587	NUM
ejpam-3757	168	16	-	-	SYM
ejpam-3757	168	17	607	607	NUM
ejpam-3757	168	18	595	595	NUM
ejpam-3757	168	19	gives	give	VERB
ejpam-3757	168	20	f	f	PROPN
ejpam-3757	168	21	(	(	PUNCT
ejpam-3757	168	22	r	r	NOUN
ejpam-3757	168	23	)	)	PUNCT
ejpam-3757	168	24	n	n	CCONJ
ejpam-3757	168	25	,	,	PUNCT
ejpam-3757	168	26	k(x	k(x	PROPN
ejpam-3757	168	27	,	,	PUNCT
ejpam-3757	168	28	y	y	PROPN
ejpam-3757	168	29	;	;	PUNCT
ejpam-3757	168	30	a	a	DET
ejpam-3757	168	31	,	,	PUNCT
ejpam-3757	168	32	b	b	NOUN
ejpam-3757	168	33	,	,	PUNCT
ejpam-3757	168	34	c;λ	c;λ	NUM
ejpam-3757	168	35	)	)	PUNCT
ejpam-3757	168	36	=	=	SYM
ejpam-3757	168	37	(	(	PUNCT
ejpam-3757	168	38	kr	kr	PROPN
ejpam-3757	168	39	)	)	PUNCT
ejpam-3757	168	40	!	!	PUNCT
ejpam-3757	169	1	(	(	PUNCT
ejpam-3757	169	2	n	n	CCONJ
ejpam-3757	169	3	kr	kr	PROPN
ejpam-3757	169	4	)	)	PUNCT
ejpam-3757	169	5	n−kr∑	n−kr∑	NOUN
ejpam-3757	169	6	i=0	i=0	PROPN
ejpam-3757	169	7	(	(	PUNCT
ejpam-3757	169	8	n−	n−	NOUN
ejpam-3757	169	9	kr	kr	PROPN
ejpam-3757	169	10	i	i	PROPN
ejpam-3757	169	11	)	)	PUNCT
ejpam-3757	169	12	(	(	PUNCT
ejpam-3757	169	13	r	r	NOUN
ejpam-3757	169	14	+	+	X
ejpam-3757	169	15	i−	i−	PROPN
ejpam-3757	169	16	1	1	NUM
ejpam-3757	169	17	i	i	NOUN
ejpam-3757	169	18	)	)	PUNCT
ejpam-3757	170	1	[	[	PUNCT
ejpam-3757	170	2	−λy	−λy	X
ejpam-3757	170	3	ln	ln	ADJ
ejpam-3757	170	4	(	(	PUNCT
ejpam-3757	170	5	b	b	PROPN
ejpam-3757	170	6	a	a	NOUN
ejpam-3757	170	7	)	)	PUNCT
ejpam-3757	170	8	]	]	X
ejpam-3757	170	9	i	i	PRON
ejpam-3757	170	10	(	(	PUNCT
ejpam-3757	170	11	y	y	PROPN
ejpam-3757	170	12	+	+	NUM
ejpam-3757	170	13	1−	1−	NUM
ejpam-3757	170	14	λy)r+i	λy)r+i	NUM
ejpam-3757	170	15	×	×	PROPN
ejpam-3757	170	16	i∑	i∑	PROPN
ejpam-3757	170	17	m=0	m=0	PROPN
ejpam-3757	170	18	(	(	PUNCT
ejpam-3757	170	19	−1)m	−1)m	PROPN
ejpam-3757	170	20	(	(	PUNCT
ejpam-3757	170	21	i	i	PRON
ejpam-3757	170	22	m	m	VERB
ejpam-3757	170	23	)	)	PUNCT
ejpam-3757	170	24	mi(x	mi(x	X
ejpam-3757	171	1	ln	ln	ADJ
ejpam-3757	171	2	c−	c−	NOUN
ejpam-3757	171	3	r	r	NOUN
ejpam-3757	171	4	ln	ln	NOUN
ejpam-3757	171	5	a)n−i−kr	a)n−i−kr	PROPN
ejpam-3757	171	6	2f1	2f1	NUM
ejpam-3757	171	7	(	(	PUNCT
ejpam-3757	171	8	−n+	−n+	ADP
ejpam-3757	171	9	kr	kr	PROPN
ejpam-3757	172	1	+	+	CCONJ
ejpam-3757	172	2	i	i	PROPN
ejpam-3757	172	3	,	,	PUNCT
ejpam-3757	172	4	1	1	NUM
ejpam-3757	172	5	;	;	PUNCT
ejpam-3757	172	6	1	1	NUM
ejpam-3757	173	1	+	+	CCONJ
ejpam-3757	173	2	i	i	PRON
ejpam-3757	173	3	;	;	PUNCT
ejpam-3757	173	4	−m	−m	INTJ
ejpam-3757	173	5	ln	ln	NOUN
ejpam-3757	173	6	(	(	PUNCT
ejpam-3757	173	7	b	b	PROPN
ejpam-3757	173	8	a	a	NOUN
ejpam-3757	173	9	)	)	PUNCT
ejpam-3757	173	10	x	x	SYM
ejpam-3757	173	11	ln	ln	ADJ
ejpam-3757	173	12	c−	c−	NOUN
ejpam-3757	173	13	r	r	NOUN
ejpam-3757	173	14	ln	ln	NOUN
ejpam-3757	173	15	a	a	NOUN
ejpam-3757	173	16	)	)	PUNCT
ejpam-3757	173	17	.	.	PUNCT
ejpam-3757	174	1	finally	finally	ADV
ejpam-3757	174	2	,	,	PUNCT
ejpam-3757	174	3	applying	apply	VERB
ejpam-3757	174	4	pfaff	pfaff	NOUN
ejpam-3757	174	5	-	-	PUNCT
ejpam-3757	174	6	kummer	kummer	NOUN
ejpam-3757	174	7	hypergeometric	hypergeometric	ADJ
ejpam-3757	174	8	transformation	transformation	NOUN
ejpam-3757	174	9	2f1(a	2f1(a	NUM
ejpam-3757	174	10	,	,	PUNCT
ejpam-3757	174	11	b	b	NOUN
ejpam-3757	174	12	;	;	PUNCT
ejpam-3757	174	13	c	c	X
ejpam-3757	174	14	;	;	PUNCT
ejpam-3757	174	15	z	z	X
ejpam-3757	174	16	)	)	PUNCT
ejpam-3757	174	17	=	=	SYM
ejpam-3757	174	18	(	(	PUNCT
ejpam-3757	174	19	1−	1−	NUM
ejpam-3757	174	20	z)−a	z)−a	NUM
ejpam-3757	174	21	2f1	2f1	NUM
ejpam-3757	174	22	(	(	PUNCT
ejpam-3757	174	23	a	a	PRON
ejpam-3757	174	24	,	,	PUNCT
ejpam-3757	174	25	c−	c−	PROPN
ejpam-3757	174	26	b	b	NOUN
ejpam-3757	174	27	;	;	PUNCT
ejpam-3757	174	28	c	c	X
ejpam-3757	174	29	;	;	PUNCT
ejpam-3757	175	1	z	z	NOUN
ejpam-3757	175	2	z	z	NOUN
ejpam-3757	175	3	−	−	NOUN
ejpam-3757	175	4	1	1	NUM
ejpam-3757	175	5	)	)	PUNCT
ejpam-3757	175	6	(	(	PUNCT
ejpam-3757	175	7	c	c	NOUN
ejpam-3757	175	8	/∈	/∈	PUNCT
ejpam-3757	176	1	z−0	z−0	NUM
ejpam-3757	176	2	;	;	PUNCT
ejpam-3757	176	3	|	|	ADV
ejpam-3757	176	4	arg(1−	arg(1−	VERB
ejpam-3757	176	5	z)|	z)|	ADP
ejpam-3757	176	6	≤	≤	X
ejpam-3757	176	7	π	π	PROPN
ejpam-3757	176	8	−	−	PROPN
ejpam-3757	176	9	ε	ε	PROPN
ejpam-3757	176	10	(	(	PUNCT
ejpam-3757	176	11	0	0	PUNCT
ejpam-3757	176	12	<	<	X
ejpam-3757	176	13	ε	ε	PROPN
ejpam-3757	176	14	<	<	X
ejpam-3757	176	15	π	π	PROPN
ejpam-3757	176	16	)	)	PUNCT
ejpam-3757	176	17	)	)	PUNCT
ejpam-3757	176	18	,	,	PUNCT
ejpam-3757	176	19	yields	yield	NOUN
ejpam-3757	176	20	f	f	PROPN
ejpam-3757	176	21	(	(	PUNCT
ejpam-3757	176	22	r	r	NOUN
ejpam-3757	176	23	)	)	PUNCT
ejpam-3757	176	24	n	n	CCONJ
ejpam-3757	176	25	,	,	PUNCT
ejpam-3757	176	26	k(x	k(x	PROPN
ejpam-3757	176	27	,	,	PUNCT
ejpam-3757	176	28	y	y	PROPN
ejpam-3757	176	29	;	;	PUNCT
ejpam-3757	176	30	a	a	DET
ejpam-3757	176	31	,	,	PUNCT
ejpam-3757	176	32	b	b	NOUN
ejpam-3757	176	33	,	,	PUNCT
ejpam-3757	176	34	c;λ	c;λ	NUM
ejpam-3757	176	35	)	)	PUNCT
ejpam-3757	176	36	=	=	SYM
ejpam-3757	176	37	(	(	PUNCT
ejpam-3757	176	38	kr	kr	PROPN
ejpam-3757	176	39	)	)	PUNCT
ejpam-3757	176	40	!	!	PUNCT
ejpam-3757	177	1	(	(	PUNCT
ejpam-3757	177	2	n	n	CCONJ
ejpam-3757	177	3	kr	kr	PROPN
ejpam-3757	177	4	)	)	PUNCT
ejpam-3757	177	5	n−kr∑	n−kr∑	NOUN
ejpam-3757	177	6	i=0	i=0	PROPN
ejpam-3757	177	7	(	(	PUNCT
ejpam-3757	177	8	n−	n−	NOUN
ejpam-3757	177	9	kr	kr	PROPN
ejpam-3757	177	10	i	i	PROPN
ejpam-3757	177	11	)	)	PUNCT
ejpam-3757	177	12	(	(	PUNCT
ejpam-3757	177	13	r	r	NOUN
ejpam-3757	177	14	+	+	X
ejpam-3757	177	15	i−	i−	PROPN
ejpam-3757	177	16	1	1	NUM
ejpam-3757	177	17	i	i	NOUN
ejpam-3757	177	18	)	)	PUNCT
ejpam-3757	178	1	[	[	PUNCT
ejpam-3757	178	2	−λy	−λy	X
ejpam-3757	178	3	ln	ln	ADJ
ejpam-3757	178	4	(	(	PUNCT
ejpam-3757	178	5	b	b	PROPN
ejpam-3757	178	6	a	a	NOUN
ejpam-3757	178	7	)	)	PUNCT
ejpam-3757	178	8	]	]	X
ejpam-3757	178	9	i	i	PRON
ejpam-3757	178	10	(	(	PUNCT
ejpam-3757	178	11	y	y	PROPN
ejpam-3757	178	12	+	+	NUM
ejpam-3757	178	13	1−	1−	NUM
ejpam-3757	178	14	λy)r+i	λy)r+i	NUM
ejpam-3757	178	15	×	×	PROPN
ejpam-3757	178	16	i∑	i∑	PROPN
ejpam-3757	178	17	m=0	m=0	PROPN
ejpam-3757	178	18	(	(	PUNCT
ejpam-3757	178	19	−1)m	−1)m	PROPN
ejpam-3757	178	20	(	(	PUNCT
ejpam-3757	178	21	i	i	PRON
ejpam-3757	178	22	m	m	VERB
ejpam-3757	178	23	)	)	PUNCT
ejpam-3757	178	24	mi	mi	PROPN
ejpam-3757	178	25	[	[	PUNCT
ejpam-3757	178	26	x	x	X
ejpam-3757	178	27	ln	ln	ADJ
ejpam-3757	178	28	c−	c−	NOUN
ejpam-3757	178	29	r	r	NOUN
ejpam-3757	178	30	ln	ln	NOUN
ejpam-3757	178	31	a+m	a+m	NUM
ejpam-3757	178	32	ln	ln	NOUN
ejpam-3757	178	33	(	(	PUNCT
ejpam-3757	178	34	b	b	NOUN
ejpam-3757	178	35	a	a	NOUN
ejpam-3757	178	36	)	)	PUNCT
ejpam-3757	178	37	]	]	PUNCT
ejpam-3757	178	38	n−kr−i	n−kr−i	X
ejpam-3757	178	39	2f1	2f1	NUM
ejpam-3757	178	40	(	(	PUNCT
ejpam-3757	178	41	−n+	−n+	ADP
ejpam-3757	178	42	kr	kr	PROPN
ejpam-3757	178	43	+	+	CCONJ
ejpam-3757	178	44	i	i	PROPN
ejpam-3757	178	45	,	,	PUNCT
ejpam-3757	178	46	i	i	PRON
ejpam-3757	178	47	;	;	PUNCT
ejpam-3757	178	48	1	1	NUM
ejpam-3757	178	49	+	+	CCONJ
ejpam-3757	178	50	i	i	PRON
ejpam-3757	178	51	;	;	PUNCT
ejpam-3757	178	52	m	m	VERB
ejpam-3757	178	53	m+	m+	NUM
ejpam-3757	178	54	x	x	SYM
ejpam-3757	178	55	ln	ln	ADJ
ejpam-3757	178	56	c−r	c−r	VERB
ejpam-3757	178	57	ln	ln	ADP
ejpam-3757	178	58	a	a	DET
ejpam-3757	178	59	ln	ln	ADJ
ejpam-3757	178	60	b−ln	b−ln	PROPN
ejpam-3757	178	61	a	a	PRON
ejpam-3757	178	62	)	)	PUNCT
ejpam-3757	178	63	.	.	PUNCT
ejpam-3757	179	1	setting	set	VERB
ejpam-3757	179	2	y	y	PROPN
ejpam-3757	179	3	=	=	PUNCT
ejpam-3757	179	4	−1	−1	NOUN
ejpam-3757	179	5	2	2	NUM
ejpam-3757	179	6	and	and	CCONJ
ejpam-3757	179	7	k	k	NOUN
ejpam-3757	179	8	=	=	SYM
ejpam-3757	179	9	0	0	NUM
ejpam-3757	179	10	in	in	ADP
ejpam-3757	179	11	theorem	theorem	NOUN
ejpam-3757	179	12	4	4	NUM
ejpam-3757	179	13	,	,	PUNCT
ejpam-3757	179	14	we	we	PRON
ejpam-3757	179	15	obtain	obtain	VERB
ejpam-3757	179	16	an	an	DET
ejpam-3757	179	17	explict	explict	NOUN
ejpam-3757	179	18	expression	expression	NOUN
ejpam-3757	179	19	for	for	ADP
ejpam-3757	179	20	e	e	PROPN
ejpam-3757	179	21	(	(	PUNCT
ejpam-3757	179	22	r	r	NOUN
ejpam-3757	179	23	)	)	PUNCT
ejpam-3757	179	24	n	n	NOUN
ejpam-3757	179	25	(	(	PUNCT
ejpam-3757	179	26	x	x	X
ejpam-3757	179	27	;	;	PUNCT
ejpam-3757	179	28	a	a	DET
ejpam-3757	179	29	,	,	PUNCT
ejpam-3757	179	30	b	b	NOUN
ejpam-3757	179	31	,	,	PUNCT
ejpam-3757	179	32	c;λ	c;λ	NUM
ejpam-3757	179	33	)	)	PUNCT
ejpam-3757	179	34	(	(	PUNCT
ejpam-3757	179	35	see	see	VERB
ejpam-3757	179	36	theorem	theorem	NOUN
ejpam-3757	179	37	6	6	NUM
ejpam-3757	179	38	[	[	X
ejpam-3757	179	39	31	31	NUM
ejpam-3757	179	40	]	]	PUNCT
ejpam-3757	179	41	)	)	PUNCT
ejpam-3757	179	42	.	.	PUNCT
ejpam-3757	180	1	corollary	corollary	ADJ
ejpam-3757	180	2	3	3	NUM
ejpam-3757	180	3	.	.	PUNCT
ejpam-3757	181	1	for	for	ADP
ejpam-3757	181	2	n	n	CCONJ
ejpam-3757	181	3	,	,	PUNCT
ejpam-3757	181	4	r	r	PROPN
ejpam-3757	181	5	∈	∈	PROPN
ejpam-3757	181	6	n0	n0	NOUN
ejpam-3757	181	7	and	and	CCONJ
ejpam-3757	181	8	λ	λ	PROPN
ejpam-3757	181	9	6=	6=	SYM
ejpam-3757	181	10	−1	−1	NOUN
ejpam-3757	181	11	,	,	PUNCT
ejpam-3757	181	12	we	we	PRON
ejpam-3757	181	13	have	have	VERB
ejpam-3757	181	14	e(r	e(r	NOUN
ejpam-3757	181	15	)	)	PUNCT
ejpam-3757	182	1	n	n	CCONJ
ejpam-3757	182	2	(	(	PUNCT
ejpam-3757	182	3	x	x	X
ejpam-3757	182	4	;	;	PUNCT
ejpam-3757	182	5	a	a	DET
ejpam-3757	182	6	,	,	PUNCT
ejpam-3757	182	7	b	b	NOUN
ejpam-3757	182	8	,	,	PUNCT
ejpam-3757	182	9	c;λ	c;λ	NUM
ejpam-3757	182	10	)	)	PUNCT
ejpam-3757	182	11	=	=	SYM
ejpam-3757	183	1	2r	2r	NUM
ejpam-3757	183	2	n∑	n∑	PROPN
ejpam-3757	184	1	i=0	i=0	PROPN
ejpam-3757	184	2	(	(	PUNCT
ejpam-3757	184	3	n	n	NOUN
ejpam-3757	184	4	i	i	NOUN
ejpam-3757	184	5	)	)	PUNCT
ejpam-3757	184	6	(	(	PUNCT
ejpam-3757	184	7	r	r	NOUN
ejpam-3757	184	8	+	+	X
ejpam-3757	184	9	i−	i−	PROPN
ejpam-3757	184	10	1	1	NUM
ejpam-3757	184	11	i	i	NOUN
ejpam-3757	184	12	)	)	PUNCT
ejpam-3757	185	1	[	[	PUNCT
ejpam-3757	185	2	λ	λ	X
ejpam-3757	185	3	ln	ln	X
ejpam-3757	185	4	(	(	PUNCT
ejpam-3757	185	5	b	b	PROPN
ejpam-3757	185	6	a	a	NOUN
ejpam-3757	185	7	)	)	PUNCT
ejpam-3757	185	8	]	]	X
ejpam-3757	185	9	i	i	PRON
ejpam-3757	185	10	(	(	PUNCT
ejpam-3757	185	11	λ+	λ+	PUNCT
ejpam-3757	185	12	1)r+i	1)r+i	NUM
ejpam-3757	185	13	×	×	PROPN
ejpam-3757	185	14	i∑	i∑	PROPN
ejpam-3757	185	15	m=0	m=0	PROPN
ejpam-3757	185	16	(	(	PUNCT
ejpam-3757	185	17	−1)mmi	−1)mmi	PROPN
ejpam-3757	185	18	(	(	PUNCT
ejpam-3757	185	19	i	i	PRON
ejpam-3757	185	20	m	m	VERB
ejpam-3757	185	21	)	)	PUNCT
ejpam-3757	185	22	[	[	PUNCT
ejpam-3757	185	23	x	x	X
ejpam-3757	185	24	ln	ln	ADJ
ejpam-3757	185	25	c−	c−	NOUN
ejpam-3757	185	26	r	r	NOUN
ejpam-3757	185	27	ln	ln	NOUN
ejpam-3757	185	28	a+m	a+m	NUM
ejpam-3757	185	29	ln	ln	NOUN
ejpam-3757	185	30	(	(	PUNCT
ejpam-3757	185	31	b	b	NOUN
ejpam-3757	185	32	a	a	NOUN
ejpam-3757	185	33	)	)	PUNCT
ejpam-3757	185	34	]	]	SYM
ejpam-3757	185	35	n−i	n−i	NOUN
ejpam-3757	185	36	2f1	2f1	NUM
ejpam-3757	185	37	(	(	PUNCT
ejpam-3757	185	38	−n+	−n+	NOUN
ejpam-3757	185	39	i	i	PRON
ejpam-3757	185	40	,	,	PUNCT
ejpam-3757	185	41	i	i	PRON
ejpam-3757	185	42	;	;	PUNCT
ejpam-3757	185	43	1	1	NUM
ejpam-3757	186	1	+	+	CCONJ
ejpam-3757	186	2	i	i	PRON
ejpam-3757	186	3	;	;	PUNCT
ejpam-3757	186	4	m	m	VERB
ejpam-3757	186	5	m+	m+	NUM
ejpam-3757	186	6	x	x	SYM
ejpam-3757	186	7	ln	ln	ADJ
ejpam-3757	186	8	c−r	c−r	VERB
ejpam-3757	186	9	ln	ln	ADP
ejpam-3757	186	10	a	a	DET
ejpam-3757	186	11	ln	ln	ADJ
ejpam-3757	186	12	b−ln	b−ln	PROPN
ejpam-3757	186	13	a	a	PRON
ejpam-3757	186	14	)	)	PUNCT
ejpam-3757	186	15	.	.	PUNCT
ejpam-3757	187	1	setting	set	VERB
ejpam-3757	187	2	y	y	PROPN
ejpam-3757	187	3	=	=	PUNCT
ejpam-3757	187	4	−2	−2	PROPN
ejpam-3757	187	5	and	and	CCONJ
ejpam-3757	187	6	k	k	NOUN
ejpam-3757	187	7	=	=	SYM
ejpam-3757	187	8	1	1	NUM
ejpam-3757	187	9	,	,	PUNCT
ejpam-3757	187	10	and	and	CCONJ
ejpam-3757	187	11	replacing	replace	VERB
ejpam-3757	187	12	λ	λ	PROPN
ejpam-3757	187	13	by	by	ADP
ejpam-3757	187	14	λ	λ	PROPN
ejpam-3757	187	15	2	2	NUM
ejpam-3757	187	16	in	in	ADP
ejpam-3757	187	17	theorem	theorem	NOUN
ejpam-3757	187	18	4	4	NUM
ejpam-3757	187	19	,	,	PUNCT
ejpam-3757	187	20	we	we	PRON
ejpam-3757	187	21	obtain	obtain	VERB
ejpam-3757	187	22	an	an	DET
ejpam-3757	187	23	explicit	explicit	ADJ
ejpam-3757	187	24	formula	formula	NOUN
ejpam-3757	187	25	for	for	ADP
ejpam-3757	187	26	b	b	PROPN
ejpam-3757	187	27	(	(	PUNCT
ejpam-3757	187	28	r	r	NOUN
ejpam-3757	187	29	)	)	PUNCT
ejpam-3757	187	30	n	n	NOUN
ejpam-3757	187	31	(	(	PUNCT
ejpam-3757	187	32	x	x	X
ejpam-3757	187	33	;	;	PUNCT
ejpam-3757	187	34	a	a	DET
ejpam-3757	187	35	,	,	PUNCT
ejpam-3757	187	36	b	b	NOUN
ejpam-3757	187	37	,	,	PUNCT
ejpam-3757	187	38	c;λ	c;λ	NUM
ejpam-3757	187	39	)	)	PUNCT
ejpam-3757	187	40	(	(	PUNCT
ejpam-3757	187	41	see	see	VERB
ejpam-3757	187	42	theorem	theorem	NOUN
ejpam-3757	187	43	6	6	NUM
ejpam-3757	187	44	[	[	SYM
ejpam-3757	187	45	30	30	NUM
ejpam-3757	187	46	]	]	NUM
ejpam-3757	187	47	)	)	PUNCT
ejpam-3757	187	48	.	.	PUNCT
ejpam-3757	188	1	corollary	corollary	ADJ
ejpam-3757	188	2	4	4	NUM
ejpam-3757	188	3	.	.	PUNCT
ejpam-3757	188	4	for	for	ADP
ejpam-3757	188	5	n	n	CCONJ
ejpam-3757	188	6	,	,	PUNCT
ejpam-3757	188	7	r	r	PROPN
ejpam-3757	188	8	∈	∈	PROPN
ejpam-3757	188	9	n0	n0	NOUN
ejpam-3757	188	10	and	and	CCONJ
ejpam-3757	188	11	λ	λ	X
ejpam-3757	188	12	6=	6=	NUM
ejpam-3757	188	13	1	1	NUM
ejpam-3757	188	14	,	,	PUNCT
ejpam-3757	188	15	we	we	PRON
ejpam-3757	188	16	have	have	VERB
ejpam-3757	188	17	b(r	b(r	NOUN
ejpam-3757	188	18	)	)	PUNCT
ejpam-3757	189	1	n	n	CCONJ
ejpam-3757	189	2	(	(	PUNCT
ejpam-3757	189	3	x	x	X
ejpam-3757	189	4	;	;	PUNCT
ejpam-3757	189	5	a	a	DET
ejpam-3757	189	6	,	,	PUNCT
ejpam-3757	189	7	b	b	NOUN
ejpam-3757	189	8	,	,	PUNCT
ejpam-3757	189	9	c;λ	c;λ	NUM
ejpam-3757	189	10	)	)	PUNCT
ejpam-3757	189	11	=	=	SYM
ejpam-3757	190	1	r	r	X
ejpam-3757	190	2	!	!	PUNCT
ejpam-3757	191	1	(	(	PUNCT
ejpam-3757	191	2	n	n	NOUN
ejpam-3757	191	3	r	r	NOUN
ejpam-3757	191	4	)	)	PUNCT
ejpam-3757	191	5	n−r∑	n−r∑	ADP
ejpam-3757	191	6	i=0	i=0	PROPN
ejpam-3757	191	7	(	(	PUNCT
ejpam-3757	191	8	n−	n−	NOUN
ejpam-3757	191	9	r	r	NOUN
ejpam-3757	191	10	i	i	NOUN
ejpam-3757	191	11	)	)	PUNCT
ejpam-3757	192	1	(	(	PUNCT
ejpam-3757	192	2	r	r	NOUN
ejpam-3757	192	3	+	+	X
ejpam-3757	192	4	i−	i−	PROPN
ejpam-3757	192	5	1	1	NUM
ejpam-3757	192	6	i	i	NOUN
ejpam-3757	192	7	)	)	PUNCT
ejpam-3757	193	1	[	[	PUNCT
ejpam-3757	193	2	λ	λ	X
ejpam-3757	193	3	ln	ln	X
ejpam-3757	193	4	(	(	PUNCT
ejpam-3757	193	5	b	b	PROPN
ejpam-3757	193	6	a	a	NOUN
ejpam-3757	193	7	)	)	PUNCT
ejpam-3757	193	8	]	]	X
ejpam-3757	193	9	i	i	PRON
ejpam-3757	193	10	(	(	PUNCT
ejpam-3757	193	11	λ−	λ−	PROPN
ejpam-3757	193	12	1)r+i	1)r+i	NUM
ejpam-3757	193	13	×	×	PROPN
ejpam-3757	193	14	i∑	i∑	PROPN
ejpam-3757	193	15	m=0	m=0	PROPN
ejpam-3757	193	16	(	(	PUNCT
ejpam-3757	193	17	−1)mmi	−1)mmi	PROPN
ejpam-3757	193	18	(	(	PUNCT
ejpam-3757	193	19	i	i	PRON
ejpam-3757	193	20	m	m	VERB
ejpam-3757	193	21	)	)	PUNCT
ejpam-3757	194	1	[	[	PUNCT
ejpam-3757	194	2	x	x	X
ejpam-3757	194	3	ln	ln	ADJ
ejpam-3757	194	4	c−	c−	NOUN
ejpam-3757	194	5	r	r	NOUN
ejpam-3757	194	6	ln	ln	NOUN
ejpam-3757	194	7	a+m	a+m	NUM
ejpam-3757	194	8	ln	ln	NOUN
ejpam-3757	194	9	(	(	PUNCT
ejpam-3757	194	10	b	b	NOUN
ejpam-3757	194	11	a	a	NOUN
ejpam-3757	194	12	)	)	PUNCT
ejpam-3757	194	13	]	]	PUNCT
ejpam-3757	194	14	n−r−i	n−r−i	ADJ
ejpam-3757	194	15	2f1	2f1	NUM
ejpam-3757	194	16	(	(	PUNCT
ejpam-3757	194	17	−n+	−n+	NOUN
ejpam-3757	194	18	i	i	PRON
ejpam-3757	194	19	,	,	PUNCT
ejpam-3757	194	20	i	i	PRON
ejpam-3757	194	21	;	;	PUNCT
ejpam-3757	194	22	1	1	NUM
ejpam-3757	195	1	+	+	CCONJ
ejpam-3757	195	2	i	i	PRON
ejpam-3757	195	3	;	;	PUNCT
ejpam-3757	195	4	m	m	VERB
ejpam-3757	195	5	m+	m+	NUM
ejpam-3757	195	6	x	x	SYM
ejpam-3757	195	7	ln	ln	ADJ
ejpam-3757	195	8	c−r	c−r	VERB
ejpam-3757	195	9	ln	ln	ADP
ejpam-3757	195	10	a	a	DET
ejpam-3757	195	11	ln	ln	ADJ
ejpam-3757	195	12	b−ln	b−ln	PROPN
ejpam-3757	195	13	a	a	PRON
ejpam-3757	195	14	)	)	PUNCT
ejpam-3757	195	15	.	.	PUNCT
ejpam-3757	196	1	n.	n.	PROPN
ejpam-3757	196	2	g.	g.	PROPN
ejpam-3757	196	3	acala	acala	PROPN
ejpam-3757	196	4	/	/	SYM
ejpam-3757	196	5	eur	eur	PROPN
ejpam-3757	196	6	.	.	PUNCT
ejpam-3757	197	1	j.	j.	PROPN
ejpam-3757	197	2	pure	pure	PROPN
ejpam-3757	197	3	appl	appl	PROPN
ejpam-3757	197	4	.	.	PROPN
ejpam-3757	197	5	math	math	PROPN
ejpam-3757	197	6	,	,	PUNCT
ejpam-3757	197	7	13	13	NUM
ejpam-3757	197	8	(	(	PUNCT
ejpam-3757	197	9	3	3	NUM
ejpam-3757	197	10	)	)	PUNCT
ejpam-3757	197	11	(	(	PUNCT
ejpam-3757	197	12	2020	2020	NUM
ejpam-3757	197	13	)	)	PUNCT
ejpam-3757	197	14	,	,	PUNCT
ejpam-3757	197	15	587	587	NUM
ejpam-3757	197	16	-	-	SYM
ejpam-3757	197	17	607	607	NUM
ejpam-3757	197	18	596	596	NUM
ejpam-3757	197	19	setting	set	VERB
ejpam-3757	197	20	y	y	NOUN
ejpam-3757	197	21	=	=	PUNCT
ejpam-3757	197	22	−1	−1	NOUN
ejpam-3757	197	23	2	2	NUM
ejpam-3757	197	24	and	and	CCONJ
ejpam-3757	197	25	k	k	NOUN
ejpam-3757	197	26	=	=	SYM
ejpam-3757	197	27	1	1	NUM
ejpam-3757	197	28	in	in	ADP
ejpam-3757	197	29	theorem	theorem	NOUN
ejpam-3757	197	30	4	4	NUM
ejpam-3757	197	31	,	,	PUNCT
ejpam-3757	197	32	we	we	PRON
ejpam-3757	197	33	obtain	obtain	VERB
ejpam-3757	197	34	an	an	DET
ejpam-3757	197	35	explicit	explicit	ADJ
ejpam-3757	197	36	formula	formula	NOUN
ejpam-3757	197	37	forg	forg	ADJ
ejpam-3757	197	38	(	(	PUNCT
ejpam-3757	197	39	r	r	NOUN
ejpam-3757	197	40	)	)	PUNCT
ejpam-3757	197	41	n	n	NOUN
ejpam-3757	197	42	(	(	PUNCT
ejpam-3757	197	43	x	x	X
ejpam-3757	197	44	;	;	PUNCT
ejpam-3757	197	45	a	a	DET
ejpam-3757	197	46	,	,	PUNCT
ejpam-3757	197	47	b	b	NOUN
ejpam-3757	197	48	,	,	PUNCT
ejpam-3757	197	49	c;λ	c;λ	NUM
ejpam-3757	197	50	)	)	PUNCT
ejpam-3757	197	51	(	(	PUNCT
ejpam-3757	197	52	see	see	VERB
ejpam-3757	197	53	theorem	theorem	NOUN
ejpam-3757	197	54	9	9	NUM
ejpam-3757	197	55	[	[	X
ejpam-3757	197	56	31	31	NUM
ejpam-3757	197	57	]	]	PUNCT
ejpam-3757	197	58	)	)	PUNCT
ejpam-3757	197	59	.	.	PUNCT
ejpam-3757	198	1	corollary	corollary	ADJ
ejpam-3757	198	2	5	5	NUM
ejpam-3757	198	3	.	.	PUNCT
ejpam-3757	199	1	for	for	ADP
ejpam-3757	199	2	n	n	CCONJ
ejpam-3757	199	3	,	,	PUNCT
ejpam-3757	199	4	r	r	PROPN
ejpam-3757	199	5	∈	∈	PROPN
ejpam-3757	199	6	n0	n0	NOUN
ejpam-3757	199	7	,	,	PUNCT
ejpam-3757	199	8	and	and	CCONJ
ejpam-3757	199	9	λ	λ	PROPN
ejpam-3757	199	10	6=	6=	PROPN
ejpam-3757	199	11	−1	−1	NOUN
ejpam-3757	199	12	,	,	PUNCT
ejpam-3757	199	13	we	we	PRON
ejpam-3757	199	14	have	have	VERB
ejpam-3757	199	15	g(r	g(r	NOUN
ejpam-3757	199	16	)	)	PUNCT
ejpam-3757	199	17	n	n	CCONJ
ejpam-3757	199	18	(	(	PUNCT
ejpam-3757	199	19	x	x	X
ejpam-3757	199	20	;	;	PUNCT
ejpam-3757	199	21	a	a	DET
ejpam-3757	199	22	,	,	PUNCT
ejpam-3757	199	23	b	b	NOUN
ejpam-3757	199	24	,	,	PUNCT
ejpam-3757	199	25	c;λ	c;λ	NUM
ejpam-3757	199	26	)	)	PUNCT
ejpam-3757	199	27	=	=	SYM
ejpam-3757	199	28	2rr	2rr	NOUN
ejpam-3757	199	29	!	!	PUNCT
ejpam-3757	200	1	(	(	PUNCT
ejpam-3757	200	2	n	n	NOUN
ejpam-3757	200	3	r	r	NOUN
ejpam-3757	200	4	)	)	PUNCT
ejpam-3757	200	5	n−r∑	n−r∑	ADP
ejpam-3757	200	6	i=0	i=0	PROPN
ejpam-3757	200	7	(	(	PUNCT
ejpam-3757	200	8	n−	n−	NOUN
ejpam-3757	200	9	r	r	NOUN
ejpam-3757	200	10	i	i	NOUN
ejpam-3757	200	11	)	)	PUNCT
ejpam-3757	201	1	(	(	PUNCT
ejpam-3757	201	2	r	r	NOUN
ejpam-3757	201	3	+	+	X
ejpam-3757	201	4	i−	i−	PROPN
ejpam-3757	201	5	1	1	NUM
ejpam-3757	201	6	i	i	NOUN
ejpam-3757	201	7	)	)	PUNCT
ejpam-3757	202	1	[	[	PUNCT
ejpam-3757	202	2	λ	λ	X
ejpam-3757	202	3	ln	ln	X
ejpam-3757	202	4	(	(	PUNCT
ejpam-3757	202	5	b	b	PROPN
ejpam-3757	202	6	a	a	NOUN
ejpam-3757	202	7	)	)	PUNCT
ejpam-3757	202	8	]	]	X
ejpam-3757	202	9	i	i	PRON
ejpam-3757	202	10	(	(	PUNCT
ejpam-3757	202	11	λ+	λ+	PUNCT
ejpam-3757	202	12	1)r+i	1)r+i	NUM
ejpam-3757	202	13	×	×	PROPN
ejpam-3757	202	14	i∑	i∑	PROPN
ejpam-3757	202	15	m=0	m=0	PROPN
ejpam-3757	202	16	(	(	PUNCT
ejpam-3757	202	17	−1)mmi	−1)mmi	PROPN
ejpam-3757	202	18	(	(	PUNCT
ejpam-3757	202	19	i	i	PRON
ejpam-3757	202	20	m	m	VERB
ejpam-3757	202	21	)	)	PUNCT
ejpam-3757	202	22	[	[	PUNCT
ejpam-3757	202	23	x	x	X
ejpam-3757	202	24	ln	ln	ADJ
ejpam-3757	202	25	c−	c−	NOUN
ejpam-3757	202	26	r	r	NOUN
ejpam-3757	202	27	ln	ln	NOUN
ejpam-3757	202	28	a+m	a+m	NUM
ejpam-3757	202	29	ln	ln	NOUN
ejpam-3757	202	30	(	(	PUNCT
ejpam-3757	202	31	b	b	NOUN
ejpam-3757	202	32	a	a	NOUN
ejpam-3757	202	33	)	)	PUNCT
ejpam-3757	202	34	]	]	PUNCT
ejpam-3757	202	35	n−r−i	n−r−i	ADJ
ejpam-3757	202	36	2f1	2f1	NUM
ejpam-3757	202	37	(	(	PUNCT
ejpam-3757	202	38	−n+	−n+	NOUN
ejpam-3757	202	39	i	i	PRON
ejpam-3757	202	40	,	,	PUNCT
ejpam-3757	202	41	i	i	PRON
ejpam-3757	202	42	;	;	PUNCT
ejpam-3757	202	43	1	1	NUM
ejpam-3757	203	1	+	+	CCONJ
ejpam-3757	203	2	i	i	PRON
ejpam-3757	203	3	;	;	PUNCT
ejpam-3757	203	4	m	m	VERB
ejpam-3757	203	5	m+	m+	NUM
ejpam-3757	203	6	x	x	SYM
ejpam-3757	203	7	ln	ln	ADJ
ejpam-3757	203	8	c−r	c−r	VERB
ejpam-3757	203	9	ln	ln	ADP
ejpam-3757	203	10	a	a	DET
ejpam-3757	203	11	ln	ln	ADJ
ejpam-3757	203	12	b−ln	b−ln	PROPN
ejpam-3757	203	13	a	a	PRON
ejpam-3757	203	14	)	)	PUNCT
ejpam-3757	203	15	.	.	PUNCT
ejpam-3757	204	1	taking	take	VERB
ejpam-3757	204	2	a	a	DET
ejpam-3757	204	3	=	=	SYM
ejpam-3757	204	4	1	1	NUM
ejpam-3757	204	5	and	and	CCONJ
ejpam-3757	204	6	b	b	X
ejpam-3757	204	7	=	=	SYM
ejpam-3757	204	8	c	c	NOUN
ejpam-3757	204	9	=	=	SYM
ejpam-3757	204	10	e	e	NOUN
ejpam-3757	204	11	theorem	theorem	NOUN
ejpam-3757	204	12	4	4	NUM
ejpam-3757	204	13	,	,	PUNCT
ejpam-3757	204	14	we	we	PRON
ejpam-3757	204	15	get	get	VERB
ejpam-3757	204	16	an	an	DET
ejpam-3757	204	17	explicit	explicit	ADJ
ejpam-3757	204	18	formula	formula	NOUN
ejpam-3757	204	19	of	of	ADP
ejpam-3757	204	20	f	f	PROPN
ejpam-3757	204	21	(	(	PUNCT
ejpam-3757	204	22	r	r	NOUN
ejpam-3757	204	23	)	)	PUNCT
ejpam-3757	204	24	n	n	CCONJ
ejpam-3757	204	25	,	,	PUNCT
ejpam-3757	204	26	k(x	k(x	PROPN
ejpam-3757	204	27	,	,	PUNCT
ejpam-3757	204	28	y;λ	y;λ	PROPN
ejpam-3757	204	29	)	)	PUNCT
ejpam-3757	204	30	.	.	PUNCT
ejpam-3757	205	1	corollary	corollary	ADJ
ejpam-3757	205	2	6	6	NUM
ejpam-3757	205	3	.	.	PUNCT
ejpam-3757	205	4	for	for	ADP
ejpam-3757	205	5	n	n	CCONJ
ejpam-3757	205	6	,	,	PUNCT
ejpam-3757	205	7	k	k	PROPN
ejpam-3757	205	8	,	,	PUNCT
ejpam-3757	205	9	r	r	PROPN
ejpam-3757	205	10	∈	∈	PROPN
ejpam-3757	205	11	n0	n0	PROPN
ejpam-3757	205	12	and	and	CCONJ
ejpam-3757	205	13	y	y	PROPN
ejpam-3757	206	1	−	−	PROPN
ejpam-3757	206	2	λy	λy	PROPN
ejpam-3757	206	3	6=	6=	ADP
ejpam-3757	206	4	−1	−1	NOUN
ejpam-3757	206	5	,	,	PUNCT
ejpam-3757	206	6	we	we	PRON
ejpam-3757	206	7	have	have	VERB
ejpam-3757	206	8	f	f	X
ejpam-3757	206	9	(	(	PUNCT
ejpam-3757	206	10	r	r	NOUN
ejpam-3757	206	11	)	)	PUNCT
ejpam-3757	206	12	n	n	CCONJ
ejpam-3757	206	13	,	,	PUNCT
ejpam-3757	206	14	k(x	k(x	PROPN
ejpam-3757	206	15	,	,	PUNCT
ejpam-3757	206	16	y;λ	y;λ	PROPN
ejpam-3757	206	17	)	)	PUNCT
ejpam-3757	206	18	=	=	PUNCT
ejpam-3757	206	19	(	(	PUNCT
ejpam-3757	206	20	kr	kr	PROPN
ejpam-3757	206	21	)	)	PUNCT
ejpam-3757	206	22	!	!	PUNCT
ejpam-3757	207	1	(	(	PUNCT
ejpam-3757	207	2	n	n	CCONJ
ejpam-3757	207	3	kr	kr	PROPN
ejpam-3757	207	4	)	)	PUNCT
ejpam-3757	207	5	n−kr∑	n−kr∑	NOUN
ejpam-3757	207	6	i=0	i=0	PROPN
ejpam-3757	207	7	(	(	PUNCT
ejpam-3757	207	8	n−	n−	NOUN
ejpam-3757	207	9	kr	kr	PROPN
ejpam-3757	207	10	i	i	PROPN
ejpam-3757	207	11	)	)	PUNCT
ejpam-3757	207	12	(	(	PUNCT
ejpam-3757	207	13	r	r	NOUN
ejpam-3757	207	14	+	+	X
ejpam-3757	207	15	i−	i−	PROPN
ejpam-3757	207	16	1	1	NUM
ejpam-3757	207	17	i	i	NOUN
ejpam-3757	207	18	)	)	PUNCT
ejpam-3757	208	1	(	(	PUNCT
ejpam-3757	208	2	−λy)i	−λy)i	PROPN
ejpam-3757	208	3	(	(	PUNCT
ejpam-3757	208	4	y	y	PROPN
ejpam-3757	208	5	+	+	NUM
ejpam-3757	208	6	1−	1−	NUM
ejpam-3757	208	7	λy)r+i	λy)r+i	NUM
ejpam-3757	208	8	×	×	PROPN
ejpam-3757	208	9	i∑	i∑	PROPN
ejpam-3757	208	10	m=0	m=0	PROPN
ejpam-3757	208	11	(	(	PUNCT
ejpam-3757	208	12	−1)m	−1)m	PROPN
ejpam-3757	208	13	(	(	PUNCT
ejpam-3757	208	14	i	i	PRON
ejpam-3757	208	15	m	m	VERB
ejpam-3757	208	16	)	)	PUNCT
ejpam-3757	209	1	mi(x+m)n−kr−i	mi(x+m)n−kr−i	ADV
ejpam-3757	209	2	2f1	2f1	NUM
ejpam-3757	209	3	(	(	PUNCT
ejpam-3757	209	4	−n+	−n+	ADP
ejpam-3757	209	5	kr	kr	PROPN
ejpam-3757	210	1	+	+	CCONJ
ejpam-3757	210	2	i	i	PROPN
ejpam-3757	210	3	,	,	PUNCT
ejpam-3757	210	4	i	i	PRON
ejpam-3757	210	5	;	;	PUNCT
ejpam-3757	210	6	1	1	NUM
ejpam-3757	211	1	+	+	CCONJ
ejpam-3757	211	2	i	i	PRON
ejpam-3757	211	3	;	;	PUNCT
ejpam-3757	211	4	m	m	VERB
ejpam-3757	211	5	m+	m+	NOUN
ejpam-3757	211	6	x	x	NOUN
ejpam-3757	211	7	)	)	PUNCT
ejpam-3757	211	8	.	.	PUNCT
ejpam-3757	212	1	setting	set	VERB
ejpam-3757	212	2	y	y	NOUN
ejpam-3757	212	3	=	=	PUNCT
ejpam-3757	212	4	−(2k−1ab	−(2k−1ab	PROPN
ejpam-3757	212	5	+	+	NOUN
ejpam-3757	212	6	1	1	NUM
ejpam-3757	212	7	)	)	PUNCT
ejpam-3757	212	8	and	and	CCONJ
ejpam-3757	212	9	λ	λ	X
ejpam-3757	212	10	=	=	SYM
ejpam-3757	212	11	2k−1βb	2k−1βb	PROPN
ejpam-3757	212	12	2k−1ab+1	2k−1ab+1	NUM
ejpam-3757	212	13	in	in	ADP
ejpam-3757	212	14	corollary	corollary	ADJ
ejpam-3757	212	15	6	6	NUM
ejpam-3757	212	16	,	,	PUNCT
ejpam-3757	212	17	we	we	PRON
ejpam-3757	212	18	obtain	obtain	VERB
ejpam-3757	212	19	an	an	DET
ejpam-3757	212	20	explicit	explicit	ADJ
ejpam-3757	212	21	formula	formula	NOUN
ejpam-3757	212	22	of	of	ADP
ejpam-3757	212	23	p	p	NOUN
ejpam-3757	212	24	(	(	PUNCT
ejpam-3757	212	25	r	r	NOUN
ejpam-3757	212	26	)	)	PUNCT
ejpam-3757	212	27	n	n	CCONJ
ejpam-3757	212	28	,	,	PUNCT
ejpam-3757	212	29	β(x	β(x	PROPN
ejpam-3757	212	30	;	;	PUNCT
ejpam-3757	212	31	a	a	DET
ejpam-3757	212	32	,	,	PUNCT
ejpam-3757	212	33	b	b	NOUN
ejpam-3757	212	34	)	)	PUNCT
ejpam-3757	212	35	(	(	PUNCT
ejpam-3757	212	36	see	see	VERB
ejpam-3757	212	37	theorem	theorem	VERB
ejpam-3757	212	38	2.1	2.1	NUM
ejpam-3757	212	39	[	[	X
ejpam-3757	212	40	25	25	NUM
ejpam-3757	212	41	]	]	NUM
ejpam-3757	212	42	)	)	PUNCT
ejpam-3757	212	43	.	.	PUNCT
ejpam-3757	213	1	corollary	corollary	ADJ
ejpam-3757	213	2	7	7	NUM
ejpam-3757	213	3	.	.	PUNCT
ejpam-3757	213	4	for	for	ADP
ejpam-3757	213	5	n	n	CCONJ
ejpam-3757	213	6	,	,	PUNCT
ejpam-3757	213	7	k	k	PROPN
ejpam-3757	213	8	,	,	PUNCT
ejpam-3757	213	9	r	r	PROPN
ejpam-3757	213	10	∈	∈	PROPN
ejpam-3757	213	11	n0	n0	PROPN
ejpam-3757	213	12	,	,	PUNCT
ejpam-3757	213	13	a	a	PRON
ejpam-3757	213	14	,	,	PUNCT
ejpam-3757	213	15	b	b	PROPN
ejpam-3757	213	16	∈	∈	PROPN
ejpam-3757	213	17	r+	r+	X
ejpam-3757	213	18	,	,	PUNCT
ejpam-3757	213	19	β	β	PROPN
ejpam-3757	213	20	6=	6=	ADP
ejpam-3757	213	21	a	a	X
ejpam-3757	213	22	,	,	PUNCT
ejpam-3757	213	23	p	p	X
ejpam-3757	213	24	(	(	PUNCT
ejpam-3757	213	25	r	r	NOUN
ejpam-3757	213	26	)	)	PUNCT
ejpam-3757	213	27	n	n	CCONJ
ejpam-3757	213	28	,	,	PUNCT
ejpam-3757	213	29	β(x	β(x	PROPN
ejpam-3757	213	30	;	;	PUNCT
ejpam-3757	213	31	a	a	DET
ejpam-3757	213	32	,	,	PUNCT
ejpam-3757	213	33	b	b	NOUN
ejpam-3757	213	34	)	)	PUNCT
ejpam-3757	213	35	=	=	SYM
ejpam-3757	213	36	2(1−k)r(kr	2(1−k)r(kr	NUM
ejpam-3757	213	37	)	)	PUNCT
ejpam-3757	213	38	!	!	PUNCT
ejpam-3757	214	1	(	(	PUNCT
ejpam-3757	214	2	n	n	CCONJ
ejpam-3757	214	3	kr	kr	PROPN
ejpam-3757	214	4	)	)	PUNCT
ejpam-3757	214	5	n−kr∑	n−kr∑	NOUN
ejpam-3757	214	6	i=0	i=0	PROPN
ejpam-3757	214	7	(	(	PUNCT
ejpam-3757	214	8	n−	n−	NOUN
ejpam-3757	214	9	kr	kr	PROPN
ejpam-3757	214	10	i	i	PROPN
ejpam-3757	214	11	)	)	PUNCT
ejpam-3757	214	12	(	(	PUNCT
ejpam-3757	214	13	r	r	NOUN
ejpam-3757	214	14	+	+	X
ejpam-3757	214	15	i−	i−	PROPN
ejpam-3757	214	16	1	1	NUM
ejpam-3757	214	17	i	i	PROPN
ejpam-3757	214	18	)	)	PUNCT
ejpam-3757	214	19	βbi	βbi	PROPN
ejpam-3757	215	1	(	(	PUNCT
ejpam-3757	215	2	βa	βa	INTJ
ejpam-3757	215	3	−	−	NOUN
ejpam-3757	215	4	ab)r+i	ab)r+i	PROPN
ejpam-3757	215	5	×	×	PROPN
ejpam-3757	215	6	i∑	i∑	PROPN
ejpam-3757	215	7	m=0	m=0	PROPN
ejpam-3757	215	8	(	(	PUNCT
ejpam-3757	215	9	−1)m	−1)m	PROPN
ejpam-3757	215	10	(	(	PUNCT
ejpam-3757	215	11	i	i	PRON
ejpam-3757	215	12	m	m	VERB
ejpam-3757	215	13	)	)	PUNCT
ejpam-3757	216	1	mi(x+m)n−kr−i	mi(x+m)n−kr−i	ADV
ejpam-3757	216	2	2f1	2f1	NUM
ejpam-3757	216	3	(	(	PUNCT
ejpam-3757	216	4	−n+	−n+	ADP
ejpam-3757	216	5	kr	kr	PROPN
ejpam-3757	217	1	+	+	CCONJ
ejpam-3757	217	2	i	i	PROPN
ejpam-3757	217	3	,	,	PUNCT
ejpam-3757	217	4	i	i	PRON
ejpam-3757	217	5	;	;	PUNCT
ejpam-3757	217	6	1	1	NUM
ejpam-3757	218	1	+	+	CCONJ
ejpam-3757	218	2	i	i	PRON
ejpam-3757	218	3	;	;	PUNCT
ejpam-3757	218	4	m	m	VERB
ejpam-3757	218	5	m+	m+	NOUN
ejpam-3757	218	6	x	x	NOUN
ejpam-3757	218	7	)	)	PUNCT
ejpam-3757	218	8	.	.	PUNCT
ejpam-3757	219	1	4	4	X
ejpam-3757	219	2	.	.	X
ejpam-3757	219	3	symmetry	symmetry	NOUN
ejpam-3757	219	4	identities	identity	NOUN
ejpam-3757	219	5	in	in	ADP
ejpam-3757	219	6	this	this	DET
ejpam-3757	219	7	section	section	NOUN
ejpam-3757	219	8	,	,	PUNCT
ejpam-3757	219	9	we	we	PRON
ejpam-3757	219	10	derive	derive	VERB
ejpam-3757	219	11	and	and	CCONJ
ejpam-3757	219	12	investigate	investigate	VERB
ejpam-3757	219	13	some	some	DET
ejpam-3757	219	14	symmetry	symmetry	NOUN
ejpam-3757	219	15	identities	identity	NOUN
ejpam-3757	219	16	for	for	ADP
ejpam-3757	219	17	f	f	PROPN
ejpam-3757	219	18	(	(	PUNCT
ejpam-3757	219	19	r	r	NOUN
ejpam-3757	219	20	)	)	PUNCT
ejpam-3757	219	21	n	n	CCONJ
ejpam-3757	219	22	,	,	PUNCT
ejpam-3757	219	23	k(x	k(x	PROPN
ejpam-3757	219	24	,	,	PUNCT
ejpam-3757	219	25	y	y	PROPN
ejpam-3757	219	26	;	;	PUNCT
ejpam-3757	219	27	a	a	DET
ejpam-3757	219	28	,	,	PUNCT
ejpam-3757	219	29	b	b	NOUN
ejpam-3757	219	30	,	,	PUNCT
ejpam-3757	219	31	c;λ	c;λ	NUM
ejpam-3757	219	32	)	)	PUNCT
ejpam-3757	219	33	.	.	PUNCT
ejpam-3757	220	1	for	for	ADP
ejpam-3757	220	2	each	each	DET
ejpam-3757	220	3	k	k	PROPN
ejpam-3757	220	4	∈	∈	PROPN
ejpam-3757	220	5	n0	n0	PROPN
ejpam-3757	220	6	,	,	PUNCT
ejpam-3757	220	7	the	the	DET
ejpam-3757	220	8	sum	sum	NOUN
ejpam-3757	220	9	of	of	ADP
ejpam-3757	220	10	integer	integer	NOUN
ejpam-3757	220	11	powers	power	NOUN
ejpam-3757	220	12	sk(n	sk(n	VERB
ejpam-3757	220	13	)	)	PUNCT
ejpam-3757	220	14	is	be	AUX
ejpam-3757	220	15	defined	define	VERB
ejpam-3757	220	16	by	by	ADP
ejpam-3757	220	17	sk(n	sk(n	NOUN
ejpam-3757	220	18	)	)	PUNCT
ejpam-3757	221	1	=	=	SYM
ejpam-3757	221	2	n−1∑	n−1∑	PROPN
ejpam-3757	221	3	j=0	j=0	PROPN
ejpam-3757	221	4	jk	jk	PROPN
ejpam-3757	221	5	and	and	CCONJ
ejpam-3757	221	6	has	have	VERB
ejpam-3757	221	7	the	the	DET
ejpam-3757	221	8	exponential	exponential	ADJ
ejpam-3757	221	9	generating	generating	NOUN
ejpam-3757	221	10	function	function	NOUN
ejpam-3757	221	11	∞∑	∞∑	ADJ
ejpam-3757	221	12	k=0	k=0	PROPN
ejpam-3757	221	13	sk(n	sk(n	X
ejpam-3757	221	14	)	)	PUNCT
ejpam-3757	221	15	tk	tk	PROPN
ejpam-3757	222	1	k	k	NOUN
ejpam-3757	222	2	!	!	PUNCT
ejpam-3757	223	1	=	=	PUNCT
ejpam-3757	223	2	ent	ent	NOUN
ejpam-3757	224	1	−	−	PROPN
ejpam-3757	224	2	1	1	NUM
ejpam-3757	224	3	et	et	NOUN
ejpam-3757	224	4	−	−	NOUN
ejpam-3757	224	5	1	1	NUM
ejpam-3757	224	6	.	.	PUNCT
ejpam-3757	225	1	n.	n.	PROPN
ejpam-3757	225	2	g.	g.	PROPN
ejpam-3757	225	3	acala	acala	PROPN
ejpam-3757	225	4	/	/	SYM
ejpam-3757	225	5	eur	eur	PROPN
ejpam-3757	225	6	.	.	PUNCT
ejpam-3757	226	1	j.	j.	PROPN
ejpam-3757	226	2	pure	pure	PROPN
ejpam-3757	226	3	appl	appl	PROPN
ejpam-3757	226	4	.	.	PROPN
ejpam-3757	226	5	math	math	PROPN
ejpam-3757	226	6	,	,	PUNCT
ejpam-3757	226	7	13	13	NUM
ejpam-3757	226	8	(	(	PUNCT
ejpam-3757	226	9	3	3	NUM
ejpam-3757	226	10	)	)	PUNCT
ejpam-3757	226	11	(	(	PUNCT
ejpam-3757	226	12	2020	2020	NUM
ejpam-3757	226	13	)	)	PUNCT
ejpam-3757	226	14	,	,	PUNCT
ejpam-3757	226	15	587	587	NUM
ejpam-3757	226	16	-	-	SYM
ejpam-3757	226	17	607	607	NUM
ejpam-3757	226	18	597	597	NUM
ejpam-3757	226	19	in	in	ADP
ejpam-3757	226	20	[	[	X
ejpam-3757	226	21	19	19	NUM
ejpam-3757	226	22	]	]	PUNCT
ejpam-3757	226	23	,	,	PUNCT
ejpam-3757	226	24	lu	lu	PROPN
ejpam-3757	226	25	and	and	CCONJ
ejpam-3757	226	26	srivastava	srivastava	PROPN
ejpam-3757	226	27	defined	define	VERB
ejpam-3757	226	28	the	the	DET
ejpam-3757	226	29	generalized	generalized	ADJ
ejpam-3757	226	30	sum	sum	NOUN
ejpam-3757	226	31	of	of	ADP
ejpam-3757	226	32	integer	integer	NOUN
ejpam-3757	226	33	powers	power	NOUN
ejpam-3757	226	34	sk(n;λ	sk(n;λ	PROPN
ejpam-3757	226	35	)	)	PUNCT
ejpam-3757	226	36	through	through	ADP
ejpam-3757	226	37	the	the	DET
ejpam-3757	226	38	generating	generate	VERB
ejpam-3757	226	39	function	function	NOUN
ejpam-3757	226	40	∞∑	∞∑	PROPN
ejpam-3757	226	41	k=0	k=0	PROPN
ejpam-3757	226	42	sk(n;λ	sk(n;λ	PROPN
ejpam-3757	226	43	)	)	PUNCT
ejpam-3757	226	44	tk	tk	PROPN
ejpam-3757	226	45	k	k	NOUN
ejpam-3757	226	46	!	!	PUNCT
ejpam-3757	227	1	=	=	PRON
ejpam-3757	227	2	λent	λent	ADJ
ejpam-3757	227	3	−	−	PROPN
ejpam-3757	227	4	1	1	NUM
ejpam-3757	227	5	λet	λet	NOUN
ejpam-3757	227	6	−	−	NUM
ejpam-3757	227	7	1	1	NUM
ejpam-3757	227	8	(	(	PUNCT
ejpam-3757	227	9	λ	λ	X
ejpam-3757	227	10	∈	∈	PROPN
ejpam-3757	227	11	c	c	NOUN
ejpam-3757	227	12	)	)	PUNCT
ejpam-3757	227	13	.	.	PUNCT
ejpam-3757	228	1	clearly	clearly	ADV
ejpam-3757	228	2	,	,	PUNCT
ejpam-3757	228	3	sk(n	sk(n	X
ejpam-3757	228	4	;	;	PUNCT
ejpam-3757	228	5	1	1	X
ejpam-3757	228	6	)	)	PUNCT
ejpam-3757	228	7	=	=	NOUN
ejpam-3757	228	8	sk(n	sk(n	X
ejpam-3757	228	9	)	)	PUNCT
ejpam-3757	228	10	.	.	PUNCT
ejpam-3757	229	1	definition	definition	NOUN
ejpam-3757	229	2	2	2	NUM
ejpam-3757	229	3	.	.	PUNCT
ejpam-3757	230	1	let	let	VERB
ejpam-3757	230	2	λ	λ	PRON
ejpam-3757	230	3	be	be	AUX
ejpam-3757	230	4	any	any	DET
ejpam-3757	230	5	real	real	ADJ
ejpam-3757	230	6	or	or	CCONJ
ejpam-3757	230	7	complex	complex	ADJ
ejpam-3757	230	8	paramete	paramete	NOUN
ejpam-3757	230	9	and	and	CCONJ
ejpam-3757	230	10	b	b	NOUN
ejpam-3757	230	11	>	>	X
ejpam-3757	230	12	0	0	NUM
ejpam-3757	230	13	,	,	PUNCT
ejpam-3757	230	14	we	we	PRON
ejpam-3757	230	15	define	define	VERB
ejpam-3757	230	16	a	a	DET
ejpam-3757	230	17	more	more	ADV
ejpam-3757	230	18	generalized	generalized	ADJ
ejpam-3757	230	19	sum	sum	NOUN
ejpam-3757	230	20	of	of	ADP
ejpam-3757	230	21	integer	integer	NOUN
ejpam-3757	230	22	powers	power	NOUN
ejpam-3757	230	23	sk(n	sk(n	X
ejpam-3757	230	24	;	;	PUNCT
ejpam-3757	230	25	b	b	X
ejpam-3757	230	26	,	,	PUNCT
ejpam-3757	230	27	λ	λ	NOUN
ejpam-3757	230	28	)	)	PUNCT
ejpam-3757	230	29	using	use	VERB
ejpam-3757	230	30	the	the	DET
ejpam-3757	230	31	generating	generate	VERB
ejpam-3757	230	32	function	function	NOUN
ejpam-3757	230	33	∞∑	∞∑	ADJ
ejpam-3757	230	34	k=0	k=0	PROPN
ejpam-3757	230	35	sk(n	sk(n	X
ejpam-3757	230	36	;	;	PUNCT
ejpam-3757	230	37	b	b	X
ejpam-3757	230	38	,	,	PUNCT
ejpam-3757	230	39	λ	λ	NOUN
ejpam-3757	230	40	)	)	PUNCT
ejpam-3757	230	41	tk	tk	PROPN
ejpam-3757	231	1	k	k	NOUN
ejpam-3757	231	2	!	!	PUNCT
ejpam-3757	232	1	=	=	PRON
ejpam-3757	232	2	λbnt	λbnt	VERB
ejpam-3757	232	3	−	−	NUM
ejpam-3757	232	4	1	1	NUM
ejpam-3757	232	5	λbt	λbt	NOUN
ejpam-3757	232	6	−	−	PROPN
ejpam-3757	232	7	1	1	NUM
ejpam-3757	232	8	.	.	PUNCT
ejpam-3757	233	1	obviously	obviously	ADV
ejpam-3757	233	2	,	,	PUNCT
ejpam-3757	233	3	sk(n	sk(n	X
ejpam-3757	233	4	;	;	PUNCT
ejpam-3757	233	5	e	e	X
ejpam-3757	233	6	,	,	PUNCT
ejpam-3757	233	7	λ	λ	NOUN
ejpam-3757	233	8	)	)	PUNCT
ejpam-3757	233	9	=	=	SYM
ejpam-3757	233	10	sk(n;λ	sk(n;λ	PROPN
ejpam-3757	233	11	)	)	PUNCT
ejpam-3757	233	12	and	and	CCONJ
ejpam-3757	233	13	sk(n	sk(n	NUM
ejpam-3757	233	14	;	;	PUNCT
ejpam-3757	233	15	e	e	X
ejpam-3757	233	16	,	,	PUNCT
ejpam-3757	233	17	1	1	NUM
ejpam-3757	233	18	)	)	PUNCT
ejpam-3757	233	19	=	=	NOUN
ejpam-3757	233	20	sk(n	sk(n	X
ejpam-3757	233	21	)	)	PUNCT
ejpam-3757	233	22	.	.	PUNCT
ejpam-3757	234	1	now	now	ADV
ejpam-3757	234	2	,	,	PUNCT
ejpam-3757	234	3	we	we	PRON
ejpam-3757	234	4	establish	establish	VERB
ejpam-3757	234	5	some	some	DET
ejpam-3757	234	6	symmetry	symmetry	NOUN
ejpam-3757	234	7	identities	identity	NOUN
ejpam-3757	234	8	involving	involve	VERB
ejpam-3757	234	9	these	these	DET
ejpam-3757	234	10	new	new	ADJ
ejpam-3757	234	11	class	class	NOUN
ejpam-3757	234	12	of	of	ADP
ejpam-3757	234	13	unified	unified	ADJ
ejpam-3757	234	14	generalized	generalized	ADJ
ejpam-3757	234	15	polynomials	polynomial	NOUN
ejpam-3757	234	16	.	.	PUNCT
ejpam-3757	235	1	the	the	DET
ejpam-3757	235	2	techniques	technique	NOUN
ejpam-3757	235	3	used	use	VERB
ejpam-3757	235	4	in	in	ADP
ejpam-3757	235	5	here	here	ADV
ejpam-3757	235	6	are	be	AUX
ejpam-3757	235	7	parallel	parallel	ADJ
ejpam-3757	235	8	to	to	ADP
ejpam-3757	235	9	the	the	DET
ejpam-3757	235	10	methods	method	NOUN
ejpam-3757	235	11	in	in	ADP
ejpam-3757	235	12	[	[	X
ejpam-3757	235	13	25	25	NUM
ejpam-3757	235	14	,	,	PUNCT
ejpam-3757	235	15	33	33	NUM
ejpam-3757	235	16	]	]	PUNCT
ejpam-3757	235	17	.	.	PUNCT
ejpam-3757	236	1	thus	thus	ADV
ejpam-3757	236	2	,	,	PUNCT
ejpam-3757	236	3	we	we	PRON
ejpam-3757	236	4	also	also	ADV
ejpam-3757	236	5	include	include	VERB
ejpam-3757	236	6	some	some	DET
ejpam-3757	236	7	results	result	NOUN
ejpam-3757	236	8	in	in	ADP
ejpam-3757	236	9	[	[	X
ejpam-3757	236	10	25	25	NUM
ejpam-3757	236	11	]	]	PUNCT
ejpam-3757	236	12	as	as	ADP
ejpam-3757	236	13	corollaries	corollary	NOUN
ejpam-3757	236	14	.	.	PUNCT
ejpam-3757	237	1	theorem	theorem	NOUN
ejpam-3757	237	2	5	5	NUM
ejpam-3757	237	3	.	.	X
ejpam-3757	238	1	for	for	ADP
ejpam-3757	238	2	u	u	PROPN
ejpam-3757	238	3	,	,	PUNCT
ejpam-3757	238	4	v	v	PROPN
ejpam-3757	238	5	,	,	PUNCT
ejpam-3757	238	6	m	m	NOUN
ejpam-3757	238	7	∈	∈	PROPN
ejpam-3757	238	8	n	n	CCONJ
ejpam-3757	238	9	;	;	PUNCT
ejpam-3757	238	10	n	n	X
ejpam-3757	238	11	∈	∈	PROPN
ejpam-3757	238	12	n0	n0	NUM
ejpam-3757	238	13	;	;	PUNCT
ejpam-3757	238	14	and	and	CCONJ
ejpam-3757	238	15	y	y	PROPN
ejpam-3757	238	16	6=	6=	PROPN
ejpam-3757	238	17	−1	−1	PROPN
ejpam-3757	238	18	,	,	PUNCT
ejpam-3757	238	19	we	we	PRON
ejpam-3757	238	20	have	have	VERB
ejpam-3757	238	21	n∑	n∑	ADV
ejpam-3757	238	22	r=0	r=0	PROPN
ejpam-3757	238	23	(	(	PUNCT
ejpam-3757	238	24	n	n	NOUN
ejpam-3757	238	25	r	r	NOUN
ejpam-3757	238	26	)	)	PUNCT
ejpam-3757	238	27	un−rvr+kf	un−rvr+kf	PROPN
ejpam-3757	238	28	(	(	PUNCT
ejpam-3757	238	29	m	m	NOUN
ejpam-3757	238	30	)	)	PUNCT
ejpam-3757	238	31	n−r	n−r	NOUN
ejpam-3757	238	32	,	,	PUNCT
ejpam-3757	238	33	k(vx−	k(vx−	PROPN
ejpam-3757	238	34	v	v	NUM
ejpam-3757	238	35	u	u	NOUN
ejpam-3757	238	36	logc	logc	VERB
ejpam-3757	238	37	a	a	DET
ejpam-3757	238	38	,	,	PUNCT
ejpam-3757	238	39	y	y	PROPN
ejpam-3757	238	40	;	;	PUNCT
ejpam-3757	238	41	a	a	DET
ejpam-3757	238	42	,	,	PUNCT
ejpam-3757	238	43	b	b	NOUN
ejpam-3757	238	44	,	,	PUNCT
ejpam-3757	238	45	c;λ	c;λ	NUM
ejpam-3757	238	46	)	)	PUNCT
ejpam-3757	239	1	r∑	r∑	NOUN
ejpam-3757	239	2	l=0	l=0	PROPN
ejpam-3757	239	3	(	(	PUNCT
ejpam-3757	239	4	r	r	NOUN
ejpam-3757	239	5	l	l	NOUN
ejpam-3757	239	6	)	)	PUNCT
ejpam-3757	240	1	sl	sl	INTJ
ejpam-3757	240	2	(	(	PUNCT
ejpam-3757	240	3	u−	u−	PROPN
ejpam-3757	240	4	1	1	NUM
ejpam-3757	240	5	,	,	PUNCT
ejpam-3757	240	6	b	b	NOUN
ejpam-3757	240	7	a	a	NOUN
ejpam-3757	240	8	;	;	PUNCT
ejpam-3757	240	9	λy	λy	PROPN
ejpam-3757	240	10	y	y	PROPN
ejpam-3757	240	11	+	+	CCONJ
ejpam-3757	240	12	1	1	X
ejpam-3757	240	13	)	)	PUNCT
ejpam-3757	240	14	f	f	NOUN
ejpam-3757	240	15	(	(	PUNCT
ejpam-3757	240	16	m−1	m−1	PROPN
ejpam-3757	240	17	)	)	PUNCT
ejpam-3757	240	18	r−l	r−l	NOUN
ejpam-3757	240	19	,	,	PUNCT
ejpam-3757	240	20	k	k	PROPN
ejpam-3757	240	21	(	(	PUNCT
ejpam-3757	240	22	uz	uz	PROPN
ejpam-3757	240	23	,	,	PUNCT
ejpam-3757	240	24	y	y	PROPN
ejpam-3757	240	25	;	;	PUNCT
ejpam-3757	240	26	a	a	DET
ejpam-3757	240	27	,	,	PUNCT
ejpam-3757	240	28	b	b	NOUN
ejpam-3757	240	29	,	,	PUNCT
ejpam-3757	240	30	c;λ	c;λ	NUM
ejpam-3757	240	31	)	)	PUNCT
ejpam-3757	240	32	=	=	SYM
ejpam-3757	241	1	n∑	n∑	NOUN
ejpam-3757	241	2	r=0	r=0	PROPN
ejpam-3757	241	3	(	(	PUNCT
ejpam-3757	241	4	n	n	NOUN
ejpam-3757	241	5	r	r	NOUN
ejpam-3757	241	6	)	)	PUNCT
ejpam-3757	241	7	vn−rur+kf	vn−rur+kf	NOUN
ejpam-3757	241	8	(	(	PUNCT
ejpam-3757	241	9	m	m	NOUN
ejpam-3757	241	10	)	)	PUNCT
ejpam-3757	241	11	n−r	n−r	NOUN
ejpam-3757	241	12	,	,	PUNCT
ejpam-3757	241	13	k(ux−	k(ux−	VERB
ejpam-3757	241	14	u	u	NOUN
ejpam-3757	241	15	v	v	NOUN
ejpam-3757	241	16	logc	logc	VERB
ejpam-3757	241	17	a	a	DET
ejpam-3757	241	18	,	,	PUNCT
ejpam-3757	241	19	y	y	PROPN
ejpam-3757	241	20	;	;	PUNCT
ejpam-3757	241	21	a	a	DET
ejpam-3757	241	22	,	,	PUNCT
ejpam-3757	241	23	b	b	NOUN
ejpam-3757	241	24	,	,	PUNCT
ejpam-3757	241	25	c;λ	c;λ	NUM
ejpam-3757	241	26	)	)	PUNCT
ejpam-3757	241	27	r∑	r∑	NOUN
ejpam-3757	242	1	l=0	l=0	PROPN
ejpam-3757	243	1	(	(	PUNCT
ejpam-3757	243	2	r	r	NOUN
ejpam-3757	243	3	l	l	NOUN
ejpam-3757	243	4	)	)	PUNCT
ejpam-3757	244	1	sl	sl	INTJ
ejpam-3757	244	2	(	(	PUNCT
ejpam-3757	244	3	v	v	NOUN
ejpam-3757	244	4	−	−	PROPN
ejpam-3757	244	5	1	1	NUM
ejpam-3757	244	6	,	,	PUNCT
ejpam-3757	244	7	b	b	NOUN
ejpam-3757	244	8	a	a	NOUN
ejpam-3757	244	9	;	;	PUNCT
ejpam-3757	244	10	λy	λy	PROPN
ejpam-3757	244	11	y	y	PROPN
ejpam-3757	244	12	+	+	CCONJ
ejpam-3757	244	13	1	1	X
ejpam-3757	244	14	)	)	PUNCT
ejpam-3757	244	15	f	f	NOUN
ejpam-3757	244	16	(	(	PUNCT
ejpam-3757	244	17	m−1	m−1	PROPN
ejpam-3757	244	18	)	)	PUNCT
ejpam-3757	244	19	r−l	r−l	NOUN
ejpam-3757	244	20	,	,	PUNCT
ejpam-3757	244	21	k	k	PROPN
ejpam-3757	244	22	(	(	PUNCT
ejpam-3757	244	23	vz	vz	PROPN
ejpam-3757	244	24	,	,	PUNCT
ejpam-3757	244	25	y	y	PROPN
ejpam-3757	244	26	;	;	PUNCT
ejpam-3757	244	27	a	a	DET
ejpam-3757	244	28	,	,	PUNCT
ejpam-3757	244	29	b	b	NOUN
ejpam-3757	244	30	,	,	PUNCT
ejpam-3757	244	31	c;λ	c;λ	NUM
ejpam-3757	244	32	)	)	PUNCT
ejpam-3757	244	33	.	.	PUNCT
ejpam-3757	245	1	proof	proof	NOUN
ejpam-3757	245	2	:	:	PUNCT
ejpam-3757	245	3	let	let	VERB
ejpam-3757	245	4	g(t	g(t	PROPN
ejpam-3757	245	5	)	)	PUNCT
ejpam-3757	245	6	:	:	PUNCT
ejpam-3757	246	1	=	=	PUNCT
ejpam-3757	246	2	t2km−ka−m(u+v)tcuvxt	t2km−ka−m(u+v)tcuvxt	X
ejpam-3757	246	3	(	(	PUNCT
ejpam-3757	246	4	1−	1−	NUM
ejpam-3757	246	5	y	y	PROPN
ejpam-3757	246	6	(	(	PUNCT
ejpam-3757	246	7	λ	λ	X
ejpam-3757	246	8	(	(	PUNCT
ejpam-3757	246	9	b	b	PROPN
ejpam-3757	246	10	a	a	DET
ejpam-3757	246	11	)	)	PUNCT
ejpam-3757	246	12	uvt	uvt	NOUN
ejpam-3757	246	13	−	−	PROPN
ejpam-3757	246	14	1	1	NUM
ejpam-3757	246	15	)	)	PUNCT
ejpam-3757	246	16	)	)	PUNCT
ejpam-3757	246	17	cuvzt	cuvzt	NOUN
ejpam-3757	246	18	(	(	PUNCT
ejpam-3757	246	19	1−	1−	NUM
ejpam-3757	246	20	y	y	PROPN
ejpam-3757	246	21	(	(	PUNCT
ejpam-3757	246	22	λ	λ	X
ejpam-3757	246	23	(	(	PUNCT
ejpam-3757	246	24	b	b	PROPN
ejpam-3757	246	25	a	a	X
ejpam-3757	246	26	)	)	PUNCT
ejpam-3757	246	27	ut	ut	PROPN
ejpam-3757	246	28	−	−	PROPN
ejpam-3757	246	29	1	1	NUM
ejpam-3757	246	30	)	)	PUNCT
ejpam-3757	246	31	)	)	PUNCT
ejpam-3757	246	32	m	m	PROPN
ejpam-3757	246	33	(	(	PUNCT
ejpam-3757	246	34	1−	1−	NUM
ejpam-3757	246	35	y	y	PROPN
ejpam-3757	246	36	(	(	PUNCT
ejpam-3757	246	37	λ	λ	X
ejpam-3757	246	38	(	(	PUNCT
ejpam-3757	246	39	b	b	PROPN
ejpam-3757	246	40	a	a	NOUN
ejpam-3757	246	41	)	)	PUNCT
ejpam-3757	246	42	vt	vt	NOUN
ejpam-3757	246	43	−	−	PROPN
ejpam-3757	246	44	1	1	NUM
ejpam-3757	246	45	)	)	PUNCT
ejpam-3757	246	46	)	)	PUNCT
ejpam-3757	246	47	m	m	VERB
ejpam-3757	246	48	.	.	PUNCT
ejpam-3757	247	1	grouping	group	VERB
ejpam-3757	247	2	factors	factor	NOUN
ejpam-3757	247	3	and	and	CCONJ
ejpam-3757	247	4	expanding	expand	VERB
ejpam-3757	247	5	g(t	g(t	PROPN
ejpam-3757	247	6	)	)	PUNCT
ejpam-3757	247	7	into	into	ADP
ejpam-3757	247	8	series	series	NOUN
ejpam-3757	247	9	,	,	PUNCT
ejpam-3757	247	10	we	we	PRON
ejpam-3757	247	11	obtain	obtain	VERB
ejpam-3757	247	12	g(t	g(t	PROPN
ejpam-3757	247	13	)	)	PUNCT
ejpam-3757	247	14	=	=	SYM
ejpam-3757	248	1	1	1	NUM
ejpam-3757	248	2	ukmvk(m−1	ukmvk(m−1	PROPN
ejpam-3757	248	3	)	)	PUNCT
ejpam-3757	249	1			PROPN
ejpam-3757	249	2	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	249	3	1−	1−	NUM
ejpam-3757	249	4	y	y	PROPN
ejpam-3757	249	5	(	(	PUNCT
ejpam-3757	249	6	λ	λ	X
ejpam-3757	249	7	(	(	PUNCT
ejpam-3757	249	8	b	b	PROPN
ejpam-3757	249	9	a	a	X
ejpam-3757	249	10	)	)	PUNCT
ejpam-3757	249	11	ut	ut	PROPN
ejpam-3757	249	12	−	−	PROPN
ejpam-3757	249	13	1	1	NUM
ejpam-3757	249	14	)	)	PUNCT
ejpam-3757	250	1	m	m	PROPN
ejpam-3757	250	2	cvx(ut)a−vt	cvx(ut)a−vt	PROPN
ejpam-3757	250	3	×	×	NOUN
ejpam-3757	250	4			PROPN
ejpam-3757	250	5	λy	λy	PROPN
ejpam-3757	251	1	y+1	y+1	PROPN
ejpam-3757	252	1	(	(	PUNCT
ejpam-3757	252	2	b	b	PROPN
ejpam-3757	252	3	a	a	DET
ejpam-3757	252	4	)	)	PUNCT
ejpam-3757	252	5	uvt	uvt	NOUN
ejpam-3757	253	1	−	−	PROPN
ejpam-3757	253	2	1	1	NUM
ejpam-3757	253	3	λy	λy	PROPN
ejpam-3757	253	4	y+1	y+1	PRON
ejpam-3757	253	5	(	(	PUNCT
ejpam-3757	253	6	b	b	PROPN
ejpam-3757	253	7	a	a	X
ejpam-3757	253	8	)	)	PUNCT
ejpam-3757	253	9	vt	vt	NOUN
ejpam-3757	253	10	−	−	PROPN
ejpam-3757	253	11	1	1	NUM
ejpam-3757	253	12			PUNCT
ejpam-3757	253	13	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	253	14	1−	1−	NUM
ejpam-3757	253	15	y	y	PROPN
ejpam-3757	253	16	(	(	PUNCT
ejpam-3757	253	17	λ	λ	X
ejpam-3757	253	18	(	(	PUNCT
ejpam-3757	253	19	b	b	PROPN
ejpam-3757	253	20	a	a	NOUN
ejpam-3757	253	21	)	)	PUNCT
ejpam-3757	253	22	vt	vt	NOUN
ejpam-3757	253	23	−	−	PROPN
ejpam-3757	253	24	1	1	NUM
ejpam-3757	253	25	)	)	PUNCT
ejpam-3757	253	26	m−1	m−1	PROPN
ejpam-3757	253	27	cuz(vt	cuz(vt	NOUN
ejpam-3757	253	28	)	)	PUNCT
ejpam-3757	253	29	=	=	SYM
ejpam-3757	253	30	1	1	NUM
ejpam-3757	253	31	ukmvk(m−1	ukmvk(m−1	PROPN
ejpam-3757	253	32	)	)	PUNCT
ejpam-3757	254	1	∞∑	∞∑	DET
ejpam-3757	254	2	n=0	n=0	NUM
ejpam-3757	254	3	f	f	X
ejpam-3757	254	4	(	(	PUNCT
ejpam-3757	254	5	m	m	NOUN
ejpam-3757	254	6	)	)	PUNCT
ejpam-3757	254	7	n	n	CCONJ
ejpam-3757	254	8	,	,	PUNCT
ejpam-3757	254	9	k	k	X
ejpam-3757	254	10	(	(	PUNCT
ejpam-3757	254	11	vx−	vx−	NUM
ejpam-3757	254	12	v	v	NUM
ejpam-3757	254	13	u	u	NOUN
ejpam-3757	254	14	logc	logc	VERB
ejpam-3757	254	15	a	a	DET
ejpam-3757	254	16	,	,	PUNCT
ejpam-3757	254	17	y	y	PROPN
ejpam-3757	254	18	;	;	PUNCT
ejpam-3757	254	19	a	a	DET
ejpam-3757	254	20	,	,	PUNCT
ejpam-3757	254	21	b	b	NOUN
ejpam-3757	254	22	,	,	PUNCT
ejpam-3757	254	23	c;λ	c;λ	NUM
ejpam-3757	254	24	)	)	PUNCT
ejpam-3757	254	25	(	(	PUNCT
ejpam-3757	254	26	ut)n	ut)n	PROPN
ejpam-3757	254	27	n	n	CCONJ
ejpam-3757	254	28	!	!	PUNCT
ejpam-3757	255	1	n.	n.	PROPN
ejpam-3757	255	2	g.	g.	PROPN
ejpam-3757	255	3	acala	acala	PROPN
ejpam-3757	255	4	/	/	SYM
ejpam-3757	255	5	eur	eur	PROPN
ejpam-3757	255	6	.	.	PUNCT
ejpam-3757	256	1	j.	j.	PROPN
ejpam-3757	256	2	pure	pure	PROPN
ejpam-3757	256	3	appl	appl	PROPN
ejpam-3757	256	4	.	.	PROPN
ejpam-3757	256	5	math	math	PROPN
ejpam-3757	256	6	,	,	PUNCT
ejpam-3757	256	7	13	13	NUM
ejpam-3757	256	8	(	(	PUNCT
ejpam-3757	256	9	3	3	NUM
ejpam-3757	256	10	)	)	PUNCT
ejpam-3757	256	11	(	(	PUNCT
ejpam-3757	256	12	2020	2020	NUM
ejpam-3757	256	13	)	)	PUNCT
ejpam-3757	256	14	,	,	PUNCT
ejpam-3757	256	15	587	587	NUM
ejpam-3757	256	16	-	-	SYM
ejpam-3757	256	17	607	607	NUM
ejpam-3757	256	18	598	598	NUM
ejpam-3757	256	19	×	×	NOUN
ejpam-3757	256	20	∞∑	∞∑	PRON
ejpam-3757	256	21	n=0	n=0	ADJ
ejpam-3757	256	22	sn	sn	NOUN
ejpam-3757	256	23	(	(	PUNCT
ejpam-3757	256	24	u−	u−	PROPN
ejpam-3757	256	25	1	1	NUM
ejpam-3757	256	26	,	,	PUNCT
ejpam-3757	256	27	b	b	NOUN
ejpam-3757	256	28	a	a	NOUN
ejpam-3757	256	29	;	;	PUNCT
ejpam-3757	256	30	λy	λy	PROPN
ejpam-3757	256	31	y	y	PROPN
ejpam-3757	257	1	+	+	CCONJ
ejpam-3757	257	2	1	1	NUM
ejpam-3757	257	3	)	)	PUNCT
ejpam-3757	257	4	(	(	PUNCT
ejpam-3757	257	5	vt)n	vt)n	NOUN
ejpam-3757	257	6	n	n	X
ejpam-3757	257	7	!	!	PUNCT
ejpam-3757	257	8	·	·	PUNCT
ejpam-3757	258	1	∞∑	∞∑	NUM
ejpam-3757	258	2	n=0	n=0	NUM
ejpam-3757	258	3	f	f	NOUN
ejpam-3757	258	4	(	(	PUNCT
ejpam-3757	258	5	m−1	m−1	PROPN
ejpam-3757	258	6	)	)	PUNCT
ejpam-3757	258	7	n	n	CCONJ
ejpam-3757	258	8	,	,	PUNCT
ejpam-3757	258	9	k	k	PROPN
ejpam-3757	258	10	(	(	PUNCT
ejpam-3757	258	11	uz	uz	PROPN
ejpam-3757	258	12	,	,	PUNCT
ejpam-3757	258	13	y	y	PROPN
ejpam-3757	258	14	;	;	PUNCT
ejpam-3757	258	15	a	a	DET
ejpam-3757	258	16	,	,	PUNCT
ejpam-3757	258	17	b	b	NOUN
ejpam-3757	258	18	,	,	PUNCT
ejpam-3757	258	19	c;λ	c;λ	NUM
ejpam-3757	258	20	)	)	PUNCT
ejpam-3757	258	21	(	(	PUNCT
ejpam-3757	258	22	vt)n	vt)n	NOUN
ejpam-3757	258	23	n	n	X
ejpam-3757	258	24	!	!	PUNCT
ejpam-3757	258	25	=	=	SYM
ejpam-3757	258	26	1	1	NUM
ejpam-3757	258	27	(	(	PUNCT
ejpam-3757	258	28	uv)km	uv)km	ADP
ejpam-3757	258	29	∞∑	∞∑	NUM
ejpam-3757	258	30	n=0	n=0	PUNCT
ejpam-3757	258	31	[	[	PUNCT
ejpam-3757	258	32	n∑	n∑	ADV
ejpam-3757	258	33	r=0	r=0	PROPN
ejpam-3757	258	34	(	(	PUNCT
ejpam-3757	258	35	n	n	NOUN
ejpam-3757	258	36	r	r	NOUN
ejpam-3757	258	37	)	)	PUNCT
ejpam-3757	258	38	un−rvr+kf	un−rvr+kf	PROPN
ejpam-3757	258	39	(	(	PUNCT
ejpam-3757	258	40	m	m	NOUN
ejpam-3757	258	41	)	)	PUNCT
ejpam-3757	258	42	n−r	n−r	NOUN
ejpam-3757	258	43	,	,	PUNCT
ejpam-3757	258	44	k	k	X
ejpam-3757	258	45	(	(	PUNCT
ejpam-3757	258	46	vx−	vx−	NUM
ejpam-3757	258	47	v	v	NUM
ejpam-3757	258	48	u	u	NOUN
ejpam-3757	258	49	logc	logc	VERB
ejpam-3757	258	50	a	a	PRON
ejpam-3757	258	51	,	,	PUNCT
ejpam-3757	258	52	y	y	PROPN
ejpam-3757	258	53	;	;	PUNCT
ejpam-3757	258	54	a	a	DET
ejpam-3757	258	55	,	,	PUNCT
ejpam-3757	258	56	b	b	NOUN
ejpam-3757	258	57	,	,	PUNCT
ejpam-3757	258	58	c;λ	c;λ	NUM
ejpam-3757	258	59	)	)	PUNCT
ejpam-3757	258	60	×	×	NOUN
ejpam-3757	258	61	r∑	r∑	NOUN
ejpam-3757	258	62	l=0	l=0	PROPN
ejpam-3757	259	1	(	(	PUNCT
ejpam-3757	259	2	r	r	NOUN
ejpam-3757	259	3	l	l	NOUN
ejpam-3757	259	4	)	)	PUNCT
ejpam-3757	260	1	sl	sl	INTJ
ejpam-3757	260	2	(	(	PUNCT
ejpam-3757	260	3	u−	u−	PROPN
ejpam-3757	260	4	1	1	NUM
ejpam-3757	260	5	,	,	PUNCT
ejpam-3757	260	6	b	b	NOUN
ejpam-3757	260	7	a	a	NOUN
ejpam-3757	260	8	;	;	PUNCT
ejpam-3757	260	9	λy	λy	PROPN
ejpam-3757	260	10	y	y	PROPN
ejpam-3757	260	11	+	+	CCONJ
ejpam-3757	260	12	1	1	X
ejpam-3757	260	13	)	)	PUNCT
ejpam-3757	260	14	f	f	NOUN
ejpam-3757	260	15	(	(	PUNCT
ejpam-3757	260	16	m−1	m−1	PROPN
ejpam-3757	260	17	)	)	PUNCT
ejpam-3757	260	18	r−l	r−l	NOUN
ejpam-3757	260	19	,	,	PUNCT
ejpam-3757	260	20	k	k	PROPN
ejpam-3757	260	21	(	(	PUNCT
ejpam-3757	260	22	uz	uz	PROPN
ejpam-3757	260	23	,	,	PUNCT
ejpam-3757	260	24	y	y	PROPN
ejpam-3757	260	25	;	;	PUNCT
ejpam-3757	260	26	a	a	DET
ejpam-3757	260	27	,	,	PUNCT
ejpam-3757	260	28	b	b	NOUN
ejpam-3757	260	29	,	,	PUNCT
ejpam-3757	260	30	c;λ	c;λ	NUM
ejpam-3757	260	31	)	)	PUNCT
ejpam-3757	260	32	]	]	PUNCT
ejpam-3757	260	33	tn	tn	PROPN
ejpam-3757	261	1	n	n	X
ejpam-3757	261	2	!	!	PUNCT
ejpam-3757	261	3	.	.	PUNCT
ejpam-3757	262	1	(	(	PUNCT
ejpam-3757	262	2	12	12	NUM
ejpam-3757	262	3	)	)	PUNCT
ejpam-3757	262	4	similarly	similarly	ADV
ejpam-3757	262	5	,	,	PUNCT
ejpam-3757	262	6	g(t	g(t	PROPN
ejpam-3757	262	7	)	)	PUNCT
ejpam-3757	262	8	=	=	SYM
ejpam-3757	262	9	1	1	NUM
ejpam-3757	262	10	vkmuk(m−1	vkmuk(m−1	NOUN
ejpam-3757	262	11	)	)	PUNCT
ejpam-3757	263	1			PROPN
ejpam-3757	263	2	(	(	PUNCT
ejpam-3757	263	3	vt)k	vt)k	PROPN
ejpam-3757	263	4	1−	1−	NUM
ejpam-3757	263	5	y	y	PROPN
ejpam-3757	263	6	(	(	PUNCT
ejpam-3757	263	7	λ	λ	X
ejpam-3757	263	8	(	(	PUNCT
ejpam-3757	263	9	b	b	PROPN
ejpam-3757	263	10	a	a	NOUN
ejpam-3757	263	11	)	)	PUNCT
ejpam-3757	263	12	vt	vt	NOUN
ejpam-3757	263	13	−	−	PROPN
ejpam-3757	263	14	1	1	NUM
ejpam-3757	263	15	)	)	PUNCT
ejpam-3757	263	16	m	m	PROPN
ejpam-3757	263	17	cux(vt)a−ut	cux(vt)a−ut	NOUN
ejpam-3757	263	18	×	×	NOUN
ejpam-3757	263	19			PROPN
ejpam-3757	263	20	λy	λy	PROPN
ejpam-3757	263	21	y+1	y+1	PRON
ejpam-3757	263	22	(	(	PUNCT
ejpam-3757	263	23	b	b	PROPN
ejpam-3757	263	24	a	a	DET
ejpam-3757	263	25	)	)	PUNCT
ejpam-3757	263	26	uvt	uvt	NOUN
ejpam-3757	263	27	−	−	PROPN
ejpam-3757	263	28	1	1	NUM
ejpam-3757	263	29	λy	λy	PROPN
ejpam-3757	263	30	y+1	y+1	PRON
ejpam-3757	263	31	(	(	PUNCT
ejpam-3757	263	32	b	b	PROPN
ejpam-3757	263	33	a	a	X
ejpam-3757	263	34	)	)	PUNCT
ejpam-3757	263	35	ut	ut	PROPN
ejpam-3757	263	36	−	−	PROPN
ejpam-3757	263	37	1	1	NUM
ejpam-3757	263	38			PUNCT
ejpam-3757	263	39	(	(	PUNCT
ejpam-3757	263	40	ut)k	ut)k	PROPN
ejpam-3757	263	41	1−	1−	NUM
ejpam-3757	263	42	y	y	PROPN
ejpam-3757	263	43	(	(	PUNCT
ejpam-3757	263	44	λ	λ	X
ejpam-3757	263	45	(	(	PUNCT
ejpam-3757	263	46	b	b	PROPN
ejpam-3757	263	47	a	a	X
ejpam-3757	263	48	)	)	PUNCT
ejpam-3757	263	49	ut	ut	PROPN
ejpam-3757	263	50	−	−	PROPN
ejpam-3757	263	51	1	1	NUM
ejpam-3757	263	52	)	)	PUNCT
ejpam-3757	263	53	m−1	m−1	PROPN
ejpam-3757	263	54	cvz(ut	cvz(ut	PROPN
ejpam-3757	263	55	)	)	PUNCT
ejpam-3757	263	56	=	=	SYM
ejpam-3757	263	57	1	1	NUM
ejpam-3757	263	58	vkmuk(m−1	vkmuk(m−1	NOUN
ejpam-3757	263	59	)	)	PUNCT
ejpam-3757	264	1	∞∑	∞∑	PRON
ejpam-3757	264	2	n=0	n=0	NUM
ejpam-3757	264	3	f	f	X
ejpam-3757	264	4	(	(	PUNCT
ejpam-3757	264	5	m	m	NOUN
ejpam-3757	264	6	)	)	PUNCT
ejpam-3757	264	7	n	n	CCONJ
ejpam-3757	264	8	,	,	PUNCT
ejpam-3757	264	9	k	k	PROPN
ejpam-3757	264	10	(	(	PUNCT
ejpam-3757	264	11	ux−	ux−	NUM
ejpam-3757	264	12	u	u	NOUN
ejpam-3757	264	13	v	v	NOUN
ejpam-3757	264	14	logc	logc	NOUN
ejpam-3757	264	15	a	a	DET
ejpam-3757	264	16	,	,	PUNCT
ejpam-3757	264	17	y	y	PROPN
ejpam-3757	264	18	;	;	PUNCT
ejpam-3757	264	19	a	a	DET
ejpam-3757	264	20	,	,	PUNCT
ejpam-3757	264	21	b	b	NOUN
ejpam-3757	264	22	,	,	PUNCT
ejpam-3757	264	23	c;λ	c;λ	NUM
ejpam-3757	264	24	)	)	PUNCT
ejpam-3757	264	25	(	(	PUNCT
ejpam-3757	264	26	vt)n	vt)n	NOUN
ejpam-3757	264	27	n	n	CCONJ
ejpam-3757	264	28	!	!	NOUN
ejpam-3757	265	1	×	×	PROPN
ejpam-3757	265	2	∞∑	∞∑	PROPN
ejpam-3757	265	3	n=0	n=0	PROPN
ejpam-3757	265	4	sn	sn	NOUN
ejpam-3757	265	5	(	(	PUNCT
ejpam-3757	265	6	v	v	NOUN
ejpam-3757	265	7	−	−	PROPN
ejpam-3757	265	8	1	1	NUM
ejpam-3757	265	9	,	,	PUNCT
ejpam-3757	265	10	b	b	NOUN
ejpam-3757	265	11	a	a	NOUN
ejpam-3757	265	12	;	;	PUNCT
ejpam-3757	265	13	λy	λy	PROPN
ejpam-3757	265	14	y	y	PROPN
ejpam-3757	265	15	+	+	CCONJ
ejpam-3757	265	16	1	1	NUM
ejpam-3757	265	17	)	)	PUNCT
ejpam-3757	265	18	(	(	PUNCT
ejpam-3757	265	19	ut)n	ut)n	PROPN
ejpam-3757	265	20	n	n	CCONJ
ejpam-3757	265	21	!	!	PUNCT
ejpam-3757	265	22	·	·	PUNCT
ejpam-3757	266	1	∞∑	∞∑	NUM
ejpam-3757	266	2	n=0	n=0	NUM
ejpam-3757	266	3	f	f	NOUN
ejpam-3757	266	4	(	(	PUNCT
ejpam-3757	266	5	m−1	m−1	PROPN
ejpam-3757	266	6	)	)	PUNCT
ejpam-3757	266	7	n	n	CCONJ
ejpam-3757	266	8	,	,	PUNCT
ejpam-3757	266	9	k	k	PROPN
ejpam-3757	266	10	(	(	PUNCT
ejpam-3757	266	11	vz	vz	PROPN
ejpam-3757	266	12	,	,	PUNCT
ejpam-3757	266	13	y	y	PROPN
ejpam-3757	266	14	;	;	PUNCT
ejpam-3757	266	15	a	a	DET
ejpam-3757	266	16	,	,	PUNCT
ejpam-3757	266	17	b	b	NOUN
ejpam-3757	266	18	,	,	PUNCT
ejpam-3757	266	19	c;λ	c;λ	NUM
ejpam-3757	266	20	)	)	PUNCT
ejpam-3757	266	21	(	(	PUNCT
ejpam-3757	266	22	ut)n	ut)n	PROPN
ejpam-3757	266	23	n	n	CCONJ
ejpam-3757	266	24	!	!	PUNCT
ejpam-3757	266	25	=	=	SYM
ejpam-3757	266	26	1	1	NUM
ejpam-3757	266	27	(	(	PUNCT
ejpam-3757	266	28	vu)km	vu)km	ADP
ejpam-3757	266	29	∞∑	∞∑	NUM
ejpam-3757	266	30	n=0	n=0	PROPN
ejpam-3757	266	31	[	[	PUNCT
ejpam-3757	266	32	n∑	n∑	ADV
ejpam-3757	266	33	r=0	r=0	PROPN
ejpam-3757	266	34	(	(	PUNCT
ejpam-3757	266	35	n	n	NOUN
ejpam-3757	266	36	r	r	NOUN
ejpam-3757	266	37	)	)	PUNCT
ejpam-3757	266	38	vn−rur+kf	vn−rur+kf	NOUN
ejpam-3757	266	39	(	(	PUNCT
ejpam-3757	266	40	m	m	NOUN
ejpam-3757	266	41	)	)	PUNCT
ejpam-3757	266	42	n−r	n−r	NOUN
ejpam-3757	266	43	,	,	PUNCT
ejpam-3757	266	44	k	k	X
ejpam-3757	266	45	(	(	PUNCT
ejpam-3757	266	46	ux−	ux−	NUM
ejpam-3757	266	47	u	u	NOUN
ejpam-3757	266	48	v	v	NOUN
ejpam-3757	266	49	logc	logc	NOUN
ejpam-3757	266	50	a	a	PRON
ejpam-3757	266	51	,	,	PUNCT
ejpam-3757	266	52	y	y	PROPN
ejpam-3757	266	53	;	;	PUNCT
ejpam-3757	266	54	a	a	DET
ejpam-3757	266	55	,	,	PUNCT
ejpam-3757	266	56	b	b	NOUN
ejpam-3757	266	57	,	,	PUNCT
ejpam-3757	266	58	c;λ	c;λ	NUM
ejpam-3757	266	59	)	)	PUNCT
ejpam-3757	266	60	×	×	NOUN
ejpam-3757	266	61	r∑	r∑	NOUN
ejpam-3757	266	62	l=0	l=0	PROPN
ejpam-3757	267	1	(	(	PUNCT
ejpam-3757	267	2	r	r	NOUN
ejpam-3757	267	3	l	l	NOUN
ejpam-3757	267	4	)	)	PUNCT
ejpam-3757	268	1	sl	sl	INTJ
ejpam-3757	268	2	(	(	PUNCT
ejpam-3757	268	3	v	v	NOUN
ejpam-3757	268	4	−	−	PROPN
ejpam-3757	268	5	1	1	NUM
ejpam-3757	268	6	,	,	PUNCT
ejpam-3757	268	7	b	b	NOUN
ejpam-3757	268	8	a	a	NOUN
ejpam-3757	268	9	;	;	PUNCT
ejpam-3757	268	10	λy	λy	PROPN
ejpam-3757	268	11	y	y	PROPN
ejpam-3757	268	12	+	+	CCONJ
ejpam-3757	268	13	1	1	X
ejpam-3757	268	14	)	)	PUNCT
ejpam-3757	268	15	f	f	NOUN
ejpam-3757	268	16	(	(	PUNCT
ejpam-3757	268	17	m−1	m−1	PROPN
ejpam-3757	268	18	)	)	PUNCT
ejpam-3757	268	19	r−l	r−l	NOUN
ejpam-3757	268	20	,	,	PUNCT
ejpam-3757	268	21	k	k	PROPN
ejpam-3757	268	22	(	(	PUNCT
ejpam-3757	268	23	vz	vz	PROPN
ejpam-3757	268	24	,	,	PUNCT
ejpam-3757	268	25	y	y	PROPN
ejpam-3757	268	26	;	;	PUNCT
ejpam-3757	268	27	a	a	DET
ejpam-3757	268	28	,	,	PUNCT
ejpam-3757	268	29	b	b	NOUN
ejpam-3757	268	30	,	,	PUNCT
ejpam-3757	268	31	c;λ	c;λ	NUM
ejpam-3757	268	32	)	)	PUNCT
ejpam-3757	268	33	]	]	PUNCT
ejpam-3757	268	34	tn	tn	PROPN
ejpam-3757	269	1	n	n	X
ejpam-3757	269	2	!	!	PUNCT
ejpam-3757	269	3	.	.	PUNCT
ejpam-3757	270	1	(	(	PUNCT
ejpam-3757	270	2	13	13	NUM
ejpam-3757	270	3	)	)	PUNCT
ejpam-3757	270	4	comparing	compare	VERB
ejpam-3757	270	5	the	the	DET
ejpam-3757	270	6	(	(	PUNCT
ejpam-3757	270	7	12	12	NUM
ejpam-3757	270	8	)	)	PUNCT
ejpam-3757	270	9	and	and	CCONJ
ejpam-3757	270	10	(	(	PUNCT
ejpam-3757	270	11	13	13	NUM
ejpam-3757	270	12	)	)	PUNCT
ejpam-3757	270	13	yields	yield	VERB
ejpam-3757	270	14	the	the	DET
ejpam-3757	270	15	desired	desire	VERB
ejpam-3757	270	16	result	result	NOUN
ejpam-3757	270	17	.	.	PUNCT
ejpam-3757	271	1	setting	set	VERB
ejpam-3757	271	2	y	y	PROPN
ejpam-3757	271	3	=	=	PUNCT
ejpam-3757	271	4	−1	−1	NOUN
ejpam-3757	271	5	2	2	NUM
ejpam-3757	271	6	and	and	CCONJ
ejpam-3757	271	7	k	k	NOUN
ejpam-3757	271	8	=	=	SYM
ejpam-3757	271	9	0	0	NUM
ejpam-3757	271	10	in	in	ADP
ejpam-3757	271	11	theorem	theorem	NOUN
ejpam-3757	271	12	5	5	NUM
ejpam-3757	271	13	,	,	PUNCT
ejpam-3757	271	14	we	we	PRON
ejpam-3757	271	15	have	have	VERB
ejpam-3757	271	16	a	a	DET
ejpam-3757	271	17	symmetry	symmetry	NOUN
ejpam-3757	271	18	identity	identity	NOUN
ejpam-3757	271	19	for	for	ADP
ejpam-3757	271	20	e	e	PROPN
ejpam-3757	271	21	(	(	PUNCT
ejpam-3757	271	22	α	α	NOUN
ejpam-3757	271	23	)	)	PUNCT
ejpam-3757	271	24	n	n	PROPN
ejpam-3757	271	25	(	(	PUNCT
ejpam-3757	271	26	x	x	X
ejpam-3757	271	27	;	;	PUNCT
ejpam-3757	271	28	a	a	DET
ejpam-3757	271	29	,	,	PUNCT
ejpam-3757	271	30	b	b	NOUN
ejpam-3757	271	31	,	,	PUNCT
ejpam-3757	271	32	c;λ	c;λ	NUM
ejpam-3757	271	33	)	)	PUNCT
ejpam-3757	271	34	.	.	PUNCT
ejpam-3757	272	1	corollary	corollary	ADJ
ejpam-3757	272	2	8	8	NUM
ejpam-3757	272	3	.	.	PUNCT
ejpam-3757	273	1	for	for	ADP
ejpam-3757	273	2	u	u	PROPN
ejpam-3757	273	3	,	,	PUNCT
ejpam-3757	273	4	v	v	PROPN
ejpam-3757	273	5	,	,	PUNCT
ejpam-3757	273	6	m	m	VERB
ejpam-3757	273	7	∈	∈	ADJ
ejpam-3757	273	8	n	n	NOUN
ejpam-3757	273	9	and	and	CCONJ
ejpam-3757	273	10	n	n	PRON
ejpam-3757	273	11	∈	∈	PROPN
ejpam-3757	273	12	n0	n0	NOUN
ejpam-3757	273	13	,	,	PUNCT
ejpam-3757	273	14	we	we	PRON
ejpam-3757	273	15	have	have	VERB
ejpam-3757	273	16	n∑	n∑	ADV
ejpam-3757	273	17	r=0	r=0	PROPN
ejpam-3757	273	18	(	(	PUNCT
ejpam-3757	273	19	n	n	NOUN
ejpam-3757	273	20	r	r	NOUN
ejpam-3757	273	21	)	)	PUNCT
ejpam-3757	274	1	un−rvre	un−rvre	NOUN
ejpam-3757	274	2	(	(	PUNCT
ejpam-3757	274	3	m	m	NOUN
ejpam-3757	274	4	)	)	PUNCT
ejpam-3757	274	5	n−r(vx−	n−r(vx−	PROPN
ejpam-3757	274	6	v	v	NUM
ejpam-3757	274	7	u	u	NOUN
ejpam-3757	274	8	logc	logc	VERB
ejpam-3757	274	9	a	a	PRON
ejpam-3757	274	10	;	;	PUNCT
ejpam-3757	274	11	a	a	DET
ejpam-3757	274	12	,	,	PUNCT
ejpam-3757	274	13	b	b	NOUN
ejpam-3757	274	14	,	,	PUNCT
ejpam-3757	274	15	c;λ	c;λ	NUM
ejpam-3757	274	16	)	)	PUNCT
ejpam-3757	275	1	r∑	r∑	NOUN
ejpam-3757	275	2	l=0	l=0	PROPN
ejpam-3757	275	3	(	(	PUNCT
ejpam-3757	275	4	r	r	NOUN
ejpam-3757	275	5	l	l	NOUN
ejpam-3757	275	6	)	)	PUNCT
ejpam-3757	276	1	sl	sl	INTJ
ejpam-3757	276	2	(	(	PUNCT
ejpam-3757	276	3	u−	u−	PROPN
ejpam-3757	276	4	1	1	NUM
ejpam-3757	276	5	,	,	PUNCT
ejpam-3757	276	6	b	b	NOUN
ejpam-3757	276	7	a	a	NOUN
ejpam-3757	276	8	;	;	PUNCT
ejpam-3757	276	9	−λ	−λ	PROPN
ejpam-3757	276	10	)	)	PUNCT
ejpam-3757	276	11	e	e	NOUN
ejpam-3757	276	12	(	(	PUNCT
ejpam-3757	276	13	m−1	m−1	PROPN
ejpam-3757	276	14	)	)	PUNCT
ejpam-3757	276	15	r−l	r−l	NOUN
ejpam-3757	276	16	(	(	PUNCT
ejpam-3757	276	17	uz	uz	NOUN
ejpam-3757	276	18	;	;	PUNCT
ejpam-3757	276	19	a	a	DET
ejpam-3757	276	20	,	,	PUNCT
ejpam-3757	276	21	b	b	NOUN
ejpam-3757	276	22	,	,	PUNCT
ejpam-3757	276	23	c;λ	c;λ	NUM
ejpam-3757	276	24	)	)	PUNCT
ejpam-3757	276	25	=	=	SYM
ejpam-3757	277	1	n∑	n∑	NOUN
ejpam-3757	277	2	r=0	r=0	PROPN
ejpam-3757	277	3	(	(	PUNCT
ejpam-3757	277	4	n	n	NOUN
ejpam-3757	277	5	r	r	NOUN
ejpam-3757	277	6	)	)	PUNCT
ejpam-3757	278	1	vn−rure	vn−rure	NOUN
ejpam-3757	278	2	(	(	PUNCT
ejpam-3757	278	3	m	m	NOUN
ejpam-3757	278	4	)	)	PUNCT
ejpam-3757	278	5	n−r(ux−	n−r(ux−	NOUN
ejpam-3757	278	6	u	u	NOUN
ejpam-3757	278	7	v	v	NOUN
ejpam-3757	278	8	logc	logc	VERB
ejpam-3757	278	9	a	a	PRON
ejpam-3757	278	10	;	;	PUNCT
ejpam-3757	278	11	a	a	DET
ejpam-3757	278	12	,	,	PUNCT
ejpam-3757	278	13	b	b	NOUN
ejpam-3757	278	14	,	,	PUNCT
ejpam-3757	278	15	c;λ	c;λ	NUM
ejpam-3757	278	16	)	)	PUNCT
ejpam-3757	279	1	r∑	r∑	NOUN
ejpam-3757	279	2	l=0	l=0	PROPN
ejpam-3757	279	3	(	(	PUNCT
ejpam-3757	279	4	r	r	NOUN
ejpam-3757	279	5	l	l	NOUN
ejpam-3757	279	6	)	)	PUNCT
ejpam-3757	280	1	sl	sl	INTJ
ejpam-3757	280	2	(	(	PUNCT
ejpam-3757	280	3	v	v	NOUN
ejpam-3757	280	4	−	−	PROPN
ejpam-3757	280	5	1	1	NUM
ejpam-3757	280	6	,	,	PUNCT
ejpam-3757	280	7	b	b	NOUN
ejpam-3757	280	8	a	a	NOUN
ejpam-3757	280	9	;	;	PUNCT
ejpam-3757	280	10	−λ	−λ	PROPN
ejpam-3757	280	11	)	)	PUNCT
ejpam-3757	280	12	e	e	NOUN
ejpam-3757	280	13	(	(	PUNCT
ejpam-3757	280	14	m−1	m−1	PROPN
ejpam-3757	280	15	)	)	PUNCT
ejpam-3757	280	16	r−l	r−l	NOUN
ejpam-3757	280	17	(	(	PUNCT
ejpam-3757	280	18	vz	vz	NOUN
ejpam-3757	280	19	;	;	PUNCT
ejpam-3757	280	20	a	a	DET
ejpam-3757	280	21	,	,	PUNCT
ejpam-3757	280	22	b	b	NOUN
ejpam-3757	280	23	,	,	PUNCT
ejpam-3757	280	24	c;λ	c;λ	NUM
ejpam-3757	280	25	)	)	PUNCT
ejpam-3757	280	26	.	.	PUNCT
ejpam-3757	281	1	setting	set	VERB
ejpam-3757	281	2	y	y	PROPN
ejpam-3757	281	3	=	=	PUNCT
ejpam-3757	281	4	−2	−2	PROPN
ejpam-3757	281	5	and	and	CCONJ
ejpam-3757	281	6	k	k	NOUN
ejpam-3757	281	7	=	=	SYM
ejpam-3757	281	8	1	1	NUM
ejpam-3757	281	9	,	,	PUNCT
ejpam-3757	281	10	and	and	CCONJ
ejpam-3757	281	11	replacing	replace	VERB
ejpam-3757	281	12	λ	λ	PROPN
ejpam-3757	281	13	by	by	ADP
ejpam-3757	281	14	λ	λ	PROPN
ejpam-3757	281	15	2	2	NUM
ejpam-3757	281	16	in	in	ADP
ejpam-3757	281	17	theorem	theorem	NOUN
ejpam-3757	281	18	5	5	NUM
ejpam-3757	281	19	,	,	PUNCT
ejpam-3757	281	20	we	we	PRON
ejpam-3757	281	21	have	have	VERB
ejpam-3757	281	22	a	a	DET
ejpam-3757	281	23	symmetry	symmetry	NOUN
ejpam-3757	281	24	identity	identity	NOUN
ejpam-3757	281	25	for	for	ADP
ejpam-3757	281	26	b	b	PROPN
ejpam-3757	281	27	(	(	PUNCT
ejpam-3757	281	28	α	α	NOUN
ejpam-3757	281	29	)	)	PUNCT
ejpam-3757	281	30	n	n	PROPN
ejpam-3757	281	31	(	(	PUNCT
ejpam-3757	281	32	x	x	X
ejpam-3757	281	33	;	;	PUNCT
ejpam-3757	281	34	a	a	DET
ejpam-3757	281	35	,	,	PUNCT
ejpam-3757	281	36	b	b	NOUN
ejpam-3757	281	37	,	,	PUNCT
ejpam-3757	281	38	c;λ	c;λ	NUM
ejpam-3757	281	39	)	)	PUNCT
ejpam-3757	281	40	.	.	PUNCT
ejpam-3757	282	1	n.	n.	PROPN
ejpam-3757	282	2	g.	g.	PROPN
ejpam-3757	282	3	acala	acala	PROPN
ejpam-3757	282	4	/	/	SYM
ejpam-3757	282	5	eur	eur	PROPN
ejpam-3757	282	6	.	.	PUNCT
ejpam-3757	283	1	j.	j.	PROPN
ejpam-3757	283	2	pure	pure	PROPN
ejpam-3757	283	3	appl	appl	PROPN
ejpam-3757	283	4	.	.	PROPN
ejpam-3757	283	5	math	math	PROPN
ejpam-3757	283	6	,	,	PUNCT
ejpam-3757	283	7	13	13	NUM
ejpam-3757	283	8	(	(	PUNCT
ejpam-3757	283	9	3	3	NUM
ejpam-3757	283	10	)	)	PUNCT
ejpam-3757	283	11	(	(	PUNCT
ejpam-3757	283	12	2020	2020	NUM
ejpam-3757	283	13	)	)	PUNCT
ejpam-3757	283	14	,	,	PUNCT
ejpam-3757	283	15	587	587	NUM
ejpam-3757	283	16	-	-	SYM
ejpam-3757	283	17	607	607	NUM
ejpam-3757	283	18	599	599	NUM
ejpam-3757	283	19	corollary	corollary	ADJ
ejpam-3757	283	20	9	9	NUM
ejpam-3757	283	21	.	.	PUNCT
ejpam-3757	284	1	for	for	ADP
ejpam-3757	284	2	u	u	PROPN
ejpam-3757	284	3	,	,	PUNCT
ejpam-3757	284	4	v	v	PROPN
ejpam-3757	284	5	,	,	PUNCT
ejpam-3757	284	6	m	m	VERB
ejpam-3757	284	7	∈	∈	ADJ
ejpam-3757	284	8	n	n	NOUN
ejpam-3757	284	9	and	and	CCONJ
ejpam-3757	284	10	n	n	PRON
ejpam-3757	284	11	∈	∈	PROPN
ejpam-3757	284	12	n0	n0	NOUN
ejpam-3757	284	13	,	,	PUNCT
ejpam-3757	284	14	we	we	PRON
ejpam-3757	284	15	have	have	VERB
ejpam-3757	285	1	n∑	n∑	ADV
ejpam-3757	285	2	r=0	r=0	PROPN
ejpam-3757	285	3	(	(	PUNCT
ejpam-3757	285	4	n	n	NOUN
ejpam-3757	285	5	r	r	NOUN
ejpam-3757	285	6	)	)	PUNCT
ejpam-3757	285	7	un−rvr+1b	un−rvr+1b	PROPN
ejpam-3757	285	8	(	(	PUNCT
ejpam-3757	285	9	m	m	NOUN
ejpam-3757	285	10	)	)	PUNCT
ejpam-3757	285	11	n−r	n−r	NOUN
ejpam-3757	285	12	(	(	PUNCT
ejpam-3757	285	13	vx−	vx−	NUM
ejpam-3757	285	14	v	v	NUM
ejpam-3757	285	15	u	u	NOUN
ejpam-3757	285	16	logc	logc	VERB
ejpam-3757	285	17	a	a	PRON
ejpam-3757	285	18	;	;	PUNCT
ejpam-3757	285	19	a	a	DET
ejpam-3757	285	20	,	,	PUNCT
ejpam-3757	285	21	b	b	NOUN
ejpam-3757	285	22	,	,	PUNCT
ejpam-3757	285	23	c;λ	c;λ	NUM
ejpam-3757	285	24	)	)	PUNCT
ejpam-3757	286	1	r∑	r∑	NOUN
ejpam-3757	286	2	l=0	l=0	PROPN
ejpam-3757	286	3	(	(	PUNCT
ejpam-3757	286	4	r	r	NOUN
ejpam-3757	286	5	l	l	NOUN
ejpam-3757	286	6	)	)	PUNCT
ejpam-3757	287	1	sl	sl	INTJ
ejpam-3757	287	2	(	(	PUNCT
ejpam-3757	287	3	u−	u−	PROPN
ejpam-3757	287	4	1	1	NUM
ejpam-3757	287	5	,	,	PUNCT
ejpam-3757	287	6	b	b	NOUN
ejpam-3757	287	7	a	a	PRON
ejpam-3757	287	8	;	;	PUNCT
ejpam-3757	287	9	λ	λ	NOUN
ejpam-3757	287	10	)	)	PUNCT
ejpam-3757	287	11	b	b	PROPN
ejpam-3757	287	12	(	(	PUNCT
ejpam-3757	287	13	m−1	m−1	PROPN
ejpam-3757	287	14	)	)	PUNCT
ejpam-3757	287	15	r−l	r−l	NOUN
ejpam-3757	287	16	(	(	PUNCT
ejpam-3757	287	17	uz	uz	NOUN
ejpam-3757	287	18	;	;	PUNCT
ejpam-3757	287	19	a	a	DET
ejpam-3757	287	20	,	,	PUNCT
ejpam-3757	287	21	b	b	NOUN
ejpam-3757	287	22	,	,	PUNCT
ejpam-3757	287	23	c;λ	c;λ	NUM
ejpam-3757	287	24	)	)	PUNCT
ejpam-3757	287	25	=	=	SYM
ejpam-3757	288	1	n∑	n∑	NOUN
ejpam-3757	288	2	r=0	r=0	PROPN
ejpam-3757	288	3	(	(	PUNCT
ejpam-3757	288	4	n	n	NOUN
ejpam-3757	288	5	r	r	NOUN
ejpam-3757	288	6	)	)	PUNCT
ejpam-3757	288	7	vn−rur+1b	vn−rur+1b	PROPN
ejpam-3757	288	8	(	(	PUNCT
ejpam-3757	288	9	m	m	NOUN
ejpam-3757	288	10	)	)	PUNCT
ejpam-3757	288	11	n−r	n−r	NOUN
ejpam-3757	288	12	(	(	PUNCT
ejpam-3757	288	13	ux−	ux−	NUM
ejpam-3757	288	14	u	u	NOUN
ejpam-3757	288	15	v	v	NOUN
ejpam-3757	288	16	logc	logc	VERB
ejpam-3757	288	17	a	a	PRON
ejpam-3757	288	18	;	;	PUNCT
ejpam-3757	288	19	a	a	DET
ejpam-3757	288	20	,	,	PUNCT
ejpam-3757	288	21	b	b	NOUN
ejpam-3757	288	22	,	,	PUNCT
ejpam-3757	288	23	c;λ	c;λ	NUM
ejpam-3757	288	24	)	)	PUNCT
ejpam-3757	289	1	r∑	r∑	NOUN
ejpam-3757	289	2	l=0	l=0	PROPN
ejpam-3757	289	3	(	(	PUNCT
ejpam-3757	289	4	r	r	NOUN
ejpam-3757	289	5	l	l	NOUN
ejpam-3757	289	6	)	)	PUNCT
ejpam-3757	290	1	sl	sl	INTJ
ejpam-3757	290	2	(	(	PUNCT
ejpam-3757	290	3	v	v	NOUN
ejpam-3757	290	4	−	−	PROPN
ejpam-3757	290	5	1	1	NUM
ejpam-3757	290	6	,	,	PUNCT
ejpam-3757	290	7	b	b	NOUN
ejpam-3757	290	8	a	a	PRON
ejpam-3757	290	9	;	;	PUNCT
ejpam-3757	290	10	λ	λ	NOUN
ejpam-3757	290	11	)	)	PUNCT
ejpam-3757	290	12	b	b	PROPN
ejpam-3757	290	13	(	(	PUNCT
ejpam-3757	290	14	m−1	m−1	PROPN
ejpam-3757	290	15	)	)	PUNCT
ejpam-3757	290	16	r−l	r−l	NOUN
ejpam-3757	290	17	(	(	PUNCT
ejpam-3757	290	18	vz	vz	NOUN
ejpam-3757	290	19	;	;	PUNCT
ejpam-3757	290	20	a	a	DET
ejpam-3757	290	21	,	,	PUNCT
ejpam-3757	290	22	b	b	NOUN
ejpam-3757	290	23	,	,	PUNCT
ejpam-3757	290	24	c;λ	c;λ	NUM
ejpam-3757	290	25	)	)	PUNCT
ejpam-3757	290	26	.	.	PUNCT
ejpam-3757	291	1	setting	set	VERB
ejpam-3757	291	2	y	y	PROPN
ejpam-3757	291	3	=	=	PUNCT
ejpam-3757	291	4	−1	−1	NOUN
ejpam-3757	291	5	2	2	NUM
ejpam-3757	291	6	and	and	CCONJ
ejpam-3757	291	7	k	k	NOUN
ejpam-3757	291	8	=	=	SYM
ejpam-3757	291	9	0	0	NUM
ejpam-3757	291	10	in	in	ADP
ejpam-3757	291	11	theorem	theorem	NOUN
ejpam-3757	291	12	5	5	NUM
ejpam-3757	291	13	,	,	PUNCT
ejpam-3757	291	14	we	we	PRON
ejpam-3757	291	15	have	have	VERB
ejpam-3757	291	16	a	a	DET
ejpam-3757	291	17	symmetry	symmetry	NOUN
ejpam-3757	291	18	identity	identity	NOUN
ejpam-3757	291	19	forg	forg	ADJ
ejpam-3757	291	20	(	(	PUNCT
ejpam-3757	291	21	α	α	NOUN
ejpam-3757	291	22	)	)	PUNCT
ejpam-3757	291	23	n	n	PROPN
ejpam-3757	291	24	(	(	PUNCT
ejpam-3757	291	25	x	x	X
ejpam-3757	291	26	;	;	PUNCT
ejpam-3757	291	27	a	a	DET
ejpam-3757	291	28	,	,	PUNCT
ejpam-3757	291	29	b	b	NOUN
ejpam-3757	291	30	,	,	PUNCT
ejpam-3757	291	31	c;λ	c;λ	NUM
ejpam-3757	291	32	)	)	PUNCT
ejpam-3757	291	33	.	.	PUNCT
ejpam-3757	292	1	corollary	corollary	ADJ
ejpam-3757	292	2	10	10	NUM
ejpam-3757	292	3	.	.	PUNCT
ejpam-3757	293	1	for	for	ADP
ejpam-3757	293	2	u	u	PROPN
ejpam-3757	293	3	,	,	PUNCT
ejpam-3757	293	4	v	v	PROPN
ejpam-3757	293	5	,	,	PUNCT
ejpam-3757	293	6	m	m	VERB
ejpam-3757	293	7	∈	∈	ADJ
ejpam-3757	293	8	n	n	NOUN
ejpam-3757	293	9	and	and	CCONJ
ejpam-3757	293	10	n	n	PRON
ejpam-3757	293	11	∈	∈	PROPN
ejpam-3757	293	12	n0	n0	NOUN
ejpam-3757	293	13	,	,	PUNCT
ejpam-3757	293	14	we	we	PRON
ejpam-3757	293	15	have	have	VERB
ejpam-3757	293	16	n∑	n∑	ADV
ejpam-3757	293	17	r=0	r=0	PROPN
ejpam-3757	293	18	(	(	PUNCT
ejpam-3757	293	19	n	n	NOUN
ejpam-3757	293	20	r	r	NOUN
ejpam-3757	293	21	)	)	PUNCT
ejpam-3757	293	22	un−rvr+1	un−rvr+1	NOUN
ejpam-3757	293	23	g	g	PROPN
ejpam-3757	293	24	(	(	PUNCT
ejpam-3757	293	25	m	m	PROPN
ejpam-3757	293	26	)	)	PUNCT
ejpam-3757	293	27	n−r(vx−	n−r(vx−	PROPN
ejpam-3757	293	28	v	v	NUM
ejpam-3757	293	29	u	u	NOUN
ejpam-3757	293	30	logc	logc	VERB
ejpam-3757	293	31	a	a	PRON
ejpam-3757	293	32	;	;	PUNCT
ejpam-3757	293	33	a	a	DET
ejpam-3757	293	34	,	,	PUNCT
ejpam-3757	293	35	b	b	NOUN
ejpam-3757	293	36	,	,	PUNCT
ejpam-3757	293	37	c;λ	c;λ	NUM
ejpam-3757	293	38	)	)	PUNCT
ejpam-3757	294	1	r∑	r∑	NOUN
ejpam-3757	294	2	l=0	l=0	PROPN
ejpam-3757	295	1	(	(	PUNCT
ejpam-3757	295	2	r	r	NOUN
ejpam-3757	295	3	l	l	NOUN
ejpam-3757	295	4	)	)	PUNCT
ejpam-3757	296	1	sl	sl	INTJ
ejpam-3757	296	2	(	(	PUNCT
ejpam-3757	296	3	u−	u−	PROPN
ejpam-3757	296	4	1	1	NUM
ejpam-3757	296	5	,	,	PUNCT
ejpam-3757	296	6	b	b	NOUN
ejpam-3757	296	7	a	a	NOUN
ejpam-3757	296	8	;	;	PUNCT
ejpam-3757	296	9	−λ	−λ	ADJ
ejpam-3757	296	10	)	)	PUNCT
ejpam-3757	296	11	g	g	PROPN
ejpam-3757	296	12	(	(	PUNCT
ejpam-3757	296	13	m−1	m−1	PROPN
ejpam-3757	296	14	)	)	PUNCT
ejpam-3757	296	15	r−l	r−l	NOUN
ejpam-3757	296	16	(	(	PUNCT
ejpam-3757	296	17	uz	uz	NOUN
ejpam-3757	296	18	;	;	PUNCT
ejpam-3757	296	19	a	a	DET
ejpam-3757	296	20	,	,	PUNCT
ejpam-3757	296	21	b	b	NOUN
ejpam-3757	296	22	,	,	PUNCT
ejpam-3757	296	23	c;λ	c;λ	NUM
ejpam-3757	296	24	)	)	PUNCT
ejpam-3757	296	25	=	=	SYM
ejpam-3757	297	1	n∑	n∑	NOUN
ejpam-3757	297	2	r=0	r=0	PROPN
ejpam-3757	297	3	(	(	PUNCT
ejpam-3757	297	4	n	n	NOUN
ejpam-3757	297	5	r	r	NOUN
ejpam-3757	297	6	)	)	PUNCT
ejpam-3757	297	7	vn−rur+1	vn−rur+1	NOUN
ejpam-3757	297	8	g	g	PROPN
ejpam-3757	297	9	(	(	PUNCT
ejpam-3757	297	10	m	m	NOUN
ejpam-3757	297	11	)	)	PUNCT
ejpam-3757	297	12	n−r(ux−	n−r(ux−	NOUN
ejpam-3757	297	13	u	u	NOUN
ejpam-3757	297	14	v	v	NOUN
ejpam-3757	297	15	logc	logc	VERB
ejpam-3757	297	16	a	a	PRON
ejpam-3757	297	17	;	;	PUNCT
ejpam-3757	297	18	a	a	DET
ejpam-3757	297	19	,	,	PUNCT
ejpam-3757	297	20	b	b	NOUN
ejpam-3757	297	21	,	,	PUNCT
ejpam-3757	297	22	c;λ	c;λ	NUM
ejpam-3757	297	23	)	)	PUNCT
ejpam-3757	298	1	r∑	r∑	NOUN
ejpam-3757	298	2	l=0	l=0	PROPN
ejpam-3757	298	3	(	(	PUNCT
ejpam-3757	298	4	r	r	NOUN
ejpam-3757	298	5	l	l	NOUN
ejpam-3757	298	6	)	)	PUNCT
ejpam-3757	299	1	sl	sl	INTJ
ejpam-3757	299	2	(	(	PUNCT
ejpam-3757	299	3	v	v	NOUN
ejpam-3757	299	4	−	−	PROPN
ejpam-3757	299	5	1	1	NUM
ejpam-3757	299	6	,	,	PUNCT
ejpam-3757	299	7	b	b	NOUN
ejpam-3757	299	8	a	a	NOUN
ejpam-3757	299	9	;	;	PUNCT
ejpam-3757	299	10	−λ	−λ	ADJ
ejpam-3757	299	11	)	)	PUNCT
ejpam-3757	299	12	g	g	PROPN
ejpam-3757	299	13	(	(	PUNCT
ejpam-3757	299	14	m−1	m−1	PROPN
ejpam-3757	299	15	)	)	PUNCT
ejpam-3757	299	16	r−l	r−l	NOUN
ejpam-3757	299	17	(	(	PUNCT
ejpam-3757	299	18	vz	vz	NOUN
ejpam-3757	299	19	;	;	PUNCT
ejpam-3757	299	20	a	a	DET
ejpam-3757	299	21	,	,	PUNCT
ejpam-3757	299	22	b	b	NOUN
ejpam-3757	299	23	,	,	PUNCT
ejpam-3757	299	24	c;λ	c;λ	NUM
ejpam-3757	299	25	)	)	PUNCT
ejpam-3757	299	26	.	.	PUNCT
ejpam-3757	300	1	setting	set	VERB
ejpam-3757	300	2	b	b	NOUN
ejpam-3757	300	3	=	=	SYM
ejpam-3757	300	4	c	c	NOUN
ejpam-3757	300	5	=	=	SYM
ejpam-3757	300	6	e	e	PROPN
ejpam-3757	300	7	and	and	CCONJ
ejpam-3757	300	8	a	a	DET
ejpam-3757	300	9	=	=	SYM
ejpam-3757	300	10	1	1	NUM
ejpam-3757	300	11	in	in	ADP
ejpam-3757	300	12	theorem	theorem	NOUN
ejpam-3757	300	13	5	5	NUM
ejpam-3757	300	14	,	,	PUNCT
ejpam-3757	300	15	we	we	PRON
ejpam-3757	300	16	obtain	obtain	VERB
ejpam-3757	300	17	a	a	DET
ejpam-3757	300	18	symmetry	symmetry	NOUN
ejpam-3757	300	19	identity	identity	NOUN
ejpam-3757	300	20	for	for	ADP
ejpam-3757	300	21	the	the	DET
ejpam-3757	300	22	higher	high	ADJ
ejpam-3757	300	23	order	order	NOUN
ejpam-3757	300	24	generalized	generalize	VERB
ejpam-3757	300	25	fubini	fubini	ADJ
ejpam-3757	300	26	-	-	PUNCT
ejpam-3757	300	27	type	type	NOUN
ejpam-3757	300	28	polynomials	polynomial	NOUN
ejpam-3757	300	29	f	f	X
ejpam-3757	300	30	(	(	PUNCT
ejpam-3757	300	31	α	α	NOUN
ejpam-3757	300	32	)	)	PUNCT
ejpam-3757	300	33	n	n	CCONJ
ejpam-3757	300	34	,	,	PUNCT
ejpam-3757	300	35	k	k	PROPN
ejpam-3757	300	36	(	(	PUNCT
ejpam-3757	300	37	x	x	NOUN
ejpam-3757	300	38	,	,	PUNCT
ejpam-3757	300	39	y;λ	y;λ	PROPN
ejpam-3757	300	40	)	)	PUNCT
ejpam-3757	300	41	.	.	PUNCT
ejpam-3757	301	1	corollary	corollary	ADJ
ejpam-3757	301	2	11	11	NUM
ejpam-3757	301	3	.	.	PUNCT
ejpam-3757	302	1	for	for	ADP
ejpam-3757	302	2	u	u	PROPN
ejpam-3757	302	3	,	,	PUNCT
ejpam-3757	302	4	v	v	PROPN
ejpam-3757	302	5	,	,	PUNCT
ejpam-3757	302	6	m	m	VERB
ejpam-3757	302	7	∈	∈	ADJ
ejpam-3757	302	8	n	n	NOUN
ejpam-3757	302	9	and	and	CCONJ
ejpam-3757	302	10	n	n	PRON
ejpam-3757	302	11	∈	∈	PROPN
ejpam-3757	302	12	n0	n0	NOUN
ejpam-3757	302	13	,	,	PUNCT
ejpam-3757	302	14	we	we	PRON
ejpam-3757	302	15	have	have	VERB
ejpam-3757	302	16	n∑	n∑	ADV
ejpam-3757	302	17	r=0	r=0	PROPN
ejpam-3757	302	18	(	(	PUNCT
ejpam-3757	302	19	n	n	NOUN
ejpam-3757	302	20	r	r	NOUN
ejpam-3757	302	21	)	)	PUNCT
ejpam-3757	302	22	un−rvr+kf	un−rvr+kf	PROPN
ejpam-3757	302	23	(	(	PUNCT
ejpam-3757	302	24	m	m	NOUN
ejpam-3757	302	25	)	)	PUNCT
ejpam-3757	302	26	n−r	n−r	NOUN
ejpam-3757	302	27	,	,	PUNCT
ejpam-3757	302	28	k(vx	k(vx	PROPN
ejpam-3757	302	29	,	,	PUNCT
ejpam-3757	302	30	y;λ	y;λ	PROPN
ejpam-3757	302	31	)	)	PUNCT
ejpam-3757	303	1	r∑	r∑	NOUN
ejpam-3757	303	2	l=0	l=0	PROPN
ejpam-3757	304	1	(	(	PUNCT
ejpam-3757	304	2	r	r	NOUN
ejpam-3757	304	3	l	l	NOUN
ejpam-3757	304	4	)	)	PUNCT
ejpam-3757	305	1	sl	sl	INTJ
ejpam-3757	305	2	(	(	PUNCT
ejpam-3757	305	3	u−	u−	PROPN
ejpam-3757	305	4	1	1	NUM
ejpam-3757	305	5	;	;	PUNCT
ejpam-3757	305	6	λy	λy	PROPN
ejpam-3757	305	7	y	y	PROPN
ejpam-3757	306	1	+	+	CCONJ
ejpam-3757	306	2	1	1	X
ejpam-3757	306	3	)	)	PUNCT
ejpam-3757	306	4	f	f	NOUN
ejpam-3757	306	5	(	(	PUNCT
ejpam-3757	306	6	m−1	m−1	PROPN
ejpam-3757	306	7	)	)	PUNCT
ejpam-3757	306	8	r−l	r−l	NOUN
ejpam-3757	306	9	,	,	PUNCT
ejpam-3757	306	10	k	k	PROPN
ejpam-3757	306	11	(	(	PUNCT
ejpam-3757	306	12	uz	uz	PROPN
ejpam-3757	306	13	,	,	PUNCT
ejpam-3757	306	14	y;λ	y;λ	PROPN
ejpam-3757	306	15	)	)	PUNCT
ejpam-3757	306	16	=	=	SYM
ejpam-3757	307	1	n∑	n∑	NOUN
ejpam-3757	307	2	r=0	r=0	PROPN
ejpam-3757	307	3	(	(	PUNCT
ejpam-3757	307	4	n	n	NOUN
ejpam-3757	307	5	r	r	NOUN
ejpam-3757	307	6	)	)	PUNCT
ejpam-3757	307	7	vn−rur+kf	vn−rur+kf	NOUN
ejpam-3757	307	8	(	(	PUNCT
ejpam-3757	307	9	m	m	NOUN
ejpam-3757	307	10	)	)	PUNCT
ejpam-3757	307	11	n−r	n−r	NOUN
ejpam-3757	307	12	,	,	PUNCT
ejpam-3757	307	13	k(ux	k(ux	PROPN
ejpam-3757	307	14	,	,	PUNCT
ejpam-3757	307	15	y;λ	y;λ	NUM
ejpam-3757	307	16	)	)	PUNCT
ejpam-3757	307	17	r∑	r∑	NOUN
ejpam-3757	307	18	l=0	l=0	PROPN
ejpam-3757	307	19	(	(	PUNCT
ejpam-3757	307	20	r	r	NOUN
ejpam-3757	307	21	l	l	NOUN
ejpam-3757	307	22	)	)	PUNCT
ejpam-3757	308	1	sl	sl	INTJ
ejpam-3757	308	2	(	(	PUNCT
ejpam-3757	308	3	v	v	NOUN
ejpam-3757	308	4	−	−	PROPN
ejpam-3757	308	5	1	1	NUM
ejpam-3757	308	6	;	;	PUNCT
ejpam-3757	308	7	λy	λy	PROPN
ejpam-3757	308	8	y	y	PROPN
ejpam-3757	309	1	+	+	CCONJ
ejpam-3757	309	2	1	1	X
ejpam-3757	309	3	)	)	PUNCT
ejpam-3757	309	4	f	f	NOUN
ejpam-3757	309	5	(	(	PUNCT
ejpam-3757	309	6	m−1	m−1	PROPN
ejpam-3757	309	7	)	)	PUNCT
ejpam-3757	309	8	r−l	r−l	NOUN
ejpam-3757	309	9	,	,	PUNCT
ejpam-3757	309	10	k	k	PROPN
ejpam-3757	309	11	(	(	PUNCT
ejpam-3757	309	12	vz	vz	PROPN
ejpam-3757	309	13	,	,	PUNCT
ejpam-3757	309	14	y;λ	y;λ	PROPN
ejpam-3757	309	15	)	)	PUNCT
ejpam-3757	309	16	.	.	PUNCT
ejpam-3757	310	1	setting	set	VERB
ejpam-3757	310	2	y	y	NOUN
ejpam-3757	310	3	=	=	PUNCT
ejpam-3757	310	4	−(2k−1ab+1	−(2k−1ab+1	NOUN
ejpam-3757	310	5	)	)	PUNCT
ejpam-3757	310	6	and	and	CCONJ
ejpam-3757	310	7	λ	λ	X
ejpam-3757	310	8	=	=	SYM
ejpam-3757	310	9	2k−1βb	2k−1βb	NUM
ejpam-3757	310	10	2k−1	2k−1	NUM
ejpam-3757	310	11	+	+	CCONJ
ejpam-3757	310	12	1	1	NUM
ejpam-3757	310	13	in	in	ADP
ejpam-3757	310	14	corollary	corollary	ADJ
ejpam-3757	310	15	11	11	NUM
ejpam-3757	310	16	,	,	PUNCT
ejpam-3757	310	17	we	we	PRON
ejpam-3757	310	18	get	get	AUX
ejpam-3757	310	19	theorem	theorem	VERB
ejpam-3757	310	20	3.1	3.1	NUM
ejpam-3757	310	21	of	of	ADP
ejpam-3757	310	22	[	[	X
ejpam-3757	310	23	25	25	NUM
ejpam-3757	310	24	]	]	PUNCT
ejpam-3757	310	25	.	.	PUNCT
ejpam-3757	311	1	corollary	corollary	ADJ
ejpam-3757	311	2	12	12	NUM
ejpam-3757	311	3	.	.	PUNCT
ejpam-3757	312	1	for	for	ADP
ejpam-3757	312	2	a	a	DET
ejpam-3757	312	3	,	,	PUNCT
ejpam-3757	312	4	b	b	PROPN
ejpam-3757	312	5	∈	∈	PROPN
ejpam-3757	312	6	r−	r−	PROPN
ejpam-3757	312	7	{	{	PUNCT
ejpam-3757	312	8	0};β	0};β	PROPN
ejpam-3757	312	9	∈	∈	PROPN
ejpam-3757	312	10	c	c	X
ejpam-3757	312	11	;	;	PUNCT
ejpam-3757	312	12	u	u	NOUN
ejpam-3757	312	13	,	,	PUNCT
ejpam-3757	312	14	v	v	NOUN
ejpam-3757	312	15	,	,	PUNCT
ejpam-3757	312	16	m	m	VERB
ejpam-3757	312	17	∈	∈	ADJ
ejpam-3757	312	18	n	n	NOUN
ejpam-3757	312	19	and	and	CCONJ
ejpam-3757	312	20	n	n	PRON
ejpam-3757	312	21	∈	∈	PROPN
ejpam-3757	312	22	n0	n0	NOUN
ejpam-3757	312	23	,	,	PUNCT
ejpam-3757	312	24	we	we	PRON
ejpam-3757	312	25	have	have	VERB
ejpam-3757	313	1	n∑	n∑	ADV
ejpam-3757	313	2	r=0	r=0	PROPN
ejpam-3757	313	3	(	(	PUNCT
ejpam-3757	313	4	n	n	NOUN
ejpam-3757	313	5	r	r	NOUN
ejpam-3757	313	6	)	)	PUNCT
ejpam-3757	313	7	un−rvr+kp	un−rvr+kp	NOUN
ejpam-3757	313	8	(	(	PUNCT
ejpam-3757	313	9	m	m	NOUN
ejpam-3757	313	10	)	)	PUNCT
ejpam-3757	313	11	n−r	n−r	NOUN
ejpam-3757	313	12	,	,	PUNCT
ejpam-3757	313	13	β	β	X
ejpam-3757	313	14	(	(	PUNCT
ejpam-3757	313	15	vx	vx	PROPN
ejpam-3757	313	16	;	;	PUNCT
ejpam-3757	313	17	k	k	X
ejpam-3757	313	18	,	,	PUNCT
ejpam-3757	313	19	a	a	DET
ejpam-3757	313	20	,	,	PUNCT
ejpam-3757	313	21	b	b	NOUN
ejpam-3757	313	22	)	)	PUNCT
ejpam-3757	313	23	r∑	r∑	NOUN
ejpam-3757	313	24	l=0	l=0	PROPN
ejpam-3757	314	1	(	(	PUNCT
ejpam-3757	314	2	r	r	NOUN
ejpam-3757	314	3	l	l	NOUN
ejpam-3757	314	4	)	)	PUNCT
ejpam-3757	315	1	sl	sl	INTJ
ejpam-3757	315	2	(	(	PUNCT
ejpam-3757	315	3	u−	u−	PROPN
ejpam-3757	315	4	1	1	NUM
ejpam-3757	315	5	;	;	PUNCT
ejpam-3757	315	6	(	(	PUNCT
ejpam-3757	315	7	β	β	X
ejpam-3757	315	8	a	a	X
ejpam-3757	315	9	)	)	PUNCT
ejpam-3757	315	10	b	b	NOUN
ejpam-3757	315	11	)	)	PUNCT
ejpam-3757	315	12	p	p	NOUN
ejpam-3757	315	13	(	(	PUNCT
ejpam-3757	315	14	m−1	m−1	PROPN
ejpam-3757	315	15	)	)	PUNCT
ejpam-3757	315	16	r−l	r−l	NOUN
ejpam-3757	315	17	,	,	PUNCT
ejpam-3757	315	18	β	β	X
ejpam-3757	315	19	(	(	PUNCT
ejpam-3757	315	20	uz	uz	PROPN
ejpam-3757	315	21	;	;	PUNCT
ejpam-3757	315	22	k	k	X
ejpam-3757	315	23	,	,	PUNCT
ejpam-3757	315	24	a	a	DET
ejpam-3757	315	25	,	,	PUNCT
ejpam-3757	315	26	b	b	NOUN
ejpam-3757	315	27	)	)	PUNCT
ejpam-3757	316	1	=	=	SYM
ejpam-3757	316	2	n∑	n∑	NOUN
ejpam-3757	316	3	r=0	r=0	PROPN
ejpam-3757	316	4	(	(	PUNCT
ejpam-3757	316	5	n	n	NOUN
ejpam-3757	316	6	r	r	NOUN
ejpam-3757	316	7	)	)	PUNCT
ejpam-3757	316	8	vn−rur+kp	vn−rur+kp	ADV
ejpam-3757	316	9	(	(	PUNCT
ejpam-3757	316	10	m	m	NOUN
ejpam-3757	316	11	)	)	PUNCT
ejpam-3757	316	12	n−r	n−r	NOUN
ejpam-3757	316	13	,	,	PUNCT
ejpam-3757	316	14	β	β	X
ejpam-3757	316	15	(	(	PUNCT
ejpam-3757	316	16	ux	ux	PROPN
ejpam-3757	316	17	;	;	PUNCT
ejpam-3757	316	18	k	k	PROPN
ejpam-3757	316	19	,	,	PUNCT
ejpam-3757	316	20	a	a	DET
ejpam-3757	316	21	,	,	PUNCT
ejpam-3757	316	22	b	b	NOUN
ejpam-3757	316	23	)	)	PUNCT
ejpam-3757	316	24	r∑	r∑	NOUN
ejpam-3757	316	25	l=0	l=0	PROPN
ejpam-3757	316	26	(	(	PUNCT
ejpam-3757	316	27	r	r	NOUN
ejpam-3757	316	28	l	l	NOUN
ejpam-3757	316	29	)	)	PUNCT
ejpam-3757	317	1	sl	sl	INTJ
ejpam-3757	317	2	(	(	PUNCT
ejpam-3757	317	3	v	v	NOUN
ejpam-3757	317	4	−	−	PROPN
ejpam-3757	317	5	1	1	NUM
ejpam-3757	317	6	;	;	PUNCT
ejpam-3757	317	7	(	(	PUNCT
ejpam-3757	317	8	β	β	X
ejpam-3757	317	9	a	a	X
ejpam-3757	317	10	)	)	PUNCT
ejpam-3757	317	11	b	b	NOUN
ejpam-3757	317	12	)	)	PUNCT
ejpam-3757	317	13	p	p	NOUN
ejpam-3757	317	14	(	(	PUNCT
ejpam-3757	317	15	m−1	m−1	PROPN
ejpam-3757	317	16	)	)	PUNCT
ejpam-3757	317	17	r−l	r−l	NOUN
ejpam-3757	317	18	,	,	PUNCT
ejpam-3757	317	19	β	β	X
ejpam-3757	317	20	(	(	PUNCT
ejpam-3757	317	21	vz	vz	PROPN
ejpam-3757	317	22	;	;	PUNCT
ejpam-3757	317	23	k	k	X
ejpam-3757	317	24	,	,	PUNCT
ejpam-3757	317	25	a	a	DET
ejpam-3757	317	26	,	,	PUNCT
ejpam-3757	317	27	b	b	NOUN
ejpam-3757	317	28	)	)	PUNCT
ejpam-3757	317	29	.	.	PUNCT
ejpam-3757	318	1	theorem	theorem	VERB
ejpam-3757	318	2	6	6	NUM
ejpam-3757	318	3	.	.	PUNCT
ejpam-3757	319	1	for	for	ADP
ejpam-3757	319	2	u	u	PROPN
ejpam-3757	319	3	,	,	PUNCT
ejpam-3757	319	4	v	v	PROPN
ejpam-3757	319	5	,	,	PUNCT
ejpam-3757	319	6	m	m	VERB
ejpam-3757	319	7	∈	∈	ADJ
ejpam-3757	319	8	n	n	NOUN
ejpam-3757	319	9	and	and	CCONJ
ejpam-3757	319	10	n	n	PRON
ejpam-3757	319	11	∈	∈	PROPN
ejpam-3757	319	12	n0	n0	NOUN
ejpam-3757	319	13	,	,	PUNCT
ejpam-3757	319	14	we	we	PRON
ejpam-3757	319	15	have	have	VERB
ejpam-3757	320	1	n∑	n∑	ADV
ejpam-3757	320	2	r=0	r=0	PROPN
ejpam-3757	320	3	(	(	PUNCT
ejpam-3757	320	4	n	n	NOUN
ejpam-3757	320	5	r	r	NOUN
ejpam-3757	320	6	)	)	PUNCT
ejpam-3757	320	7	u−1∑	u−1∑	PROPN
ejpam-3757	320	8	i=0	i=0	PROPN
ejpam-3757	320	9	v−1∑	v−1∑	NUM
ejpam-3757	320	10	j=0	j=0	PROPN
ejpam-3757	320	11	(	(	PUNCT
ejpam-3757	320	12	λy	λy	PROPN
ejpam-3757	320	13	y	y	PROPN
ejpam-3757	320	14	+	+	CCONJ
ejpam-3757	320	15	1	1	NUM
ejpam-3757	320	16	)	)	PUNCT
ejpam-3757	320	17	i+j	i+j	NUM
ejpam-3757	321	1	urvn−rf	urvn−rf	X
ejpam-3757	321	2	(	(	PUNCT
ejpam-3757	321	3	m	m	NOUN
ejpam-3757	321	4	)	)	PUNCT
ejpam-3757	321	5	r	r	NOUN
ejpam-3757	321	6	,	,	PUNCT
ejpam-3757	321	7	k	k	PROPN
ejpam-3757	321	8	(	(	PUNCT
ejpam-3757	321	9	vx+	vx+	PROPN
ejpam-3757	321	10	v	v	NUM
ejpam-3757	321	11	u	u	NOUN
ejpam-3757	321	12	i	i	PRON
ejpam-3757	321	13	logc	logc	VERB
ejpam-3757	321	14	(	(	PUNCT
ejpam-3757	321	15	b	b	X
ejpam-3757	321	16	/	/	SYM
ejpam-3757	321	17	a	a	NOUN
ejpam-3757	321	18	)	)	PUNCT
ejpam-3757	321	19	,	,	PUNCT
ejpam-3757	321	20	y	y	PROPN
ejpam-3757	321	21	;	;	PUNCT
ejpam-3757	321	22	a	a	DET
ejpam-3757	321	23	,	,	PUNCT
ejpam-3757	321	24	b	b	NOUN
ejpam-3757	321	25	,	,	PUNCT
ejpam-3757	321	26	c;λ	c;λ	NUM
ejpam-3757	321	27	)	)	PUNCT
ejpam-3757	321	28	f	f	PROPN
ejpam-3757	321	29	(	(	PUNCT
ejpam-3757	321	30	m	m	NOUN
ejpam-3757	321	31	)	)	PUNCT
ejpam-3757	321	32	n−r	n−r	NOUN
ejpam-3757	321	33	,	,	PUNCT
ejpam-3757	321	34	k	k	PROPN
ejpam-3757	321	35	(	(	PUNCT
ejpam-3757	321	36	uz	uz	PROPN
ejpam-3757	321	37	+	+	CCONJ
ejpam-3757	321	38	u	u	PROPN
ejpam-3757	321	39	v	v	PROPN
ejpam-3757	321	40	j	j	PROPN
ejpam-3757	321	41	logc	logc	NOUN
ejpam-3757	321	42	(	(	PUNCT
ejpam-3757	321	43	b	b	X
ejpam-3757	321	44	/	/	SYM
ejpam-3757	321	45	a	a	NOUN
ejpam-3757	321	46	)	)	PUNCT
ejpam-3757	321	47	,	,	PUNCT
ejpam-3757	321	48	y	y	PROPN
ejpam-3757	321	49	;	;	PUNCT
ejpam-3757	321	50	a	a	DET
ejpam-3757	321	51	,	,	PUNCT
ejpam-3757	321	52	b	b	NOUN
ejpam-3757	321	53	,	,	PUNCT
ejpam-3757	321	54	c;λ	c;λ	NUM
ejpam-3757	321	55	)	)	PUNCT
ejpam-3757	321	56	=	=	PUNCT
ejpam-3757	322	1	n∑	n∑	NOUN
ejpam-3757	322	2	r=0	r=0	PROPN
ejpam-3757	322	3	(	(	PUNCT
ejpam-3757	322	4	n	n	NOUN
ejpam-3757	322	5	r	r	NOUN
ejpam-3757	322	6	)	)	PUNCT
ejpam-3757	322	7	v−1∑	v−1∑	NUM
ejpam-3757	323	1	i=0	i=0	PROPN
ejpam-3757	323	2	u−1∑	u−1∑	NUM
ejpam-3757	323	3	j=0	j=0	PROPN
ejpam-3757	323	4	(	(	PUNCT
ejpam-3757	323	5	λy	λy	PROPN
ejpam-3757	323	6	y	y	PROPN
ejpam-3757	323	7	+	+	CCONJ
ejpam-3757	323	8	1	1	NUM
ejpam-3757	323	9	)	)	PUNCT
ejpam-3757	323	10	i+j	i+j	NUM
ejpam-3757	323	11	vrun−rf	vrun−rf	NOUN
ejpam-3757	323	12	(	(	PUNCT
ejpam-3757	323	13	m	m	NOUN
ejpam-3757	323	14	)	)	PUNCT
ejpam-3757	323	15	r	r	NOUN
ejpam-3757	323	16	,	,	PUNCT
ejpam-3757	323	17	k	k	PROPN
ejpam-3757	323	18	(	(	PUNCT
ejpam-3757	323	19	ux+	ux+	PROPN
ejpam-3757	323	20	u	u	NOUN
ejpam-3757	323	21	v	v	NOUN
ejpam-3757	323	22	i	i	PRON
ejpam-3757	323	23	logc	logc	VERB
ejpam-3757	323	24	(	(	PUNCT
ejpam-3757	323	25	b	b	X
ejpam-3757	323	26	/	/	SYM
ejpam-3757	323	27	a	a	NOUN
ejpam-3757	323	28	)	)	PUNCT
ejpam-3757	323	29	,	,	PUNCT
ejpam-3757	323	30	y	y	PROPN
ejpam-3757	323	31	;	;	PUNCT
ejpam-3757	323	32	a	a	DET
ejpam-3757	323	33	,	,	PUNCT
ejpam-3757	323	34	b	b	NOUN
ejpam-3757	323	35	,	,	PUNCT
ejpam-3757	323	36	c;λ	c;λ	NUM
ejpam-3757	323	37	)	)	PUNCT
ejpam-3757	323	38	f	f	PROPN
ejpam-3757	323	39	(	(	PUNCT
ejpam-3757	323	40	m	m	NOUN
ejpam-3757	323	41	)	)	PUNCT
ejpam-3757	323	42	n−r	n−r	NOUN
ejpam-3757	323	43	,	,	PUNCT
ejpam-3757	323	44	k	k	PROPN
ejpam-3757	323	45	(	(	PUNCT
ejpam-3757	323	46	vz	vz	PROPN
ejpam-3757	323	47	+	+	CCONJ
ejpam-3757	323	48	v	v	NUM
ejpam-3757	323	49	u	u	NOUN
ejpam-3757	323	50	j	j	PROPN
ejpam-3757	323	51	logc	logc	NOUN
ejpam-3757	323	52	(	(	PUNCT
ejpam-3757	323	53	b	b	X
ejpam-3757	323	54	/	/	SYM
ejpam-3757	323	55	a	a	NOUN
ejpam-3757	323	56	)	)	PUNCT
ejpam-3757	323	57	,	,	PUNCT
ejpam-3757	323	58	y	y	PROPN
ejpam-3757	323	59	;	;	PUNCT
ejpam-3757	323	60	a	a	DET
ejpam-3757	323	61	,	,	PUNCT
ejpam-3757	323	62	b	b	NOUN
ejpam-3757	323	63	,	,	PUNCT
ejpam-3757	323	64	c;λ	c;λ	NUM
ejpam-3757	323	65	)	)	PUNCT
ejpam-3757	323	66	.	.	PUNCT
ejpam-3757	324	1	n.	n.	PROPN
ejpam-3757	324	2	g.	g.	PROPN
ejpam-3757	324	3	acala	acala	PROPN
ejpam-3757	324	4	/	/	SYM
ejpam-3757	324	5	eur	eur	PROPN
ejpam-3757	324	6	.	.	PUNCT
ejpam-3757	325	1	j.	j.	PROPN
ejpam-3757	325	2	pure	pure	PROPN
ejpam-3757	325	3	appl	appl	PROPN
ejpam-3757	325	4	.	.	PROPN
ejpam-3757	325	5	math	math	PROPN
ejpam-3757	325	6	,	,	PUNCT
ejpam-3757	325	7	13	13	NUM
ejpam-3757	325	8	(	(	PUNCT
ejpam-3757	325	9	3	3	NUM
ejpam-3757	325	10	)	)	PUNCT
ejpam-3757	325	11	(	(	PUNCT
ejpam-3757	325	12	2020	2020	NUM
ejpam-3757	325	13	)	)	PUNCT
ejpam-3757	325	14	,	,	PUNCT
ejpam-3757	325	15	587	587	NUM
ejpam-3757	325	16	-	-	SYM
ejpam-3757	325	17	607	607	NUM
ejpam-3757	325	18	600	600	NUM
ejpam-3757	325	19	proof	proof	NOUN
ejpam-3757	325	20	:	:	PUNCT
ejpam-3757	325	21	consider	consider	VERB
ejpam-3757	325	22	h(t	h(t	PRON
ejpam-3757	325	23	)	)	PUNCT
ejpam-3757	326	1	=	=	SYM
ejpam-3757	326	2	t2kma−t(u+v)mcuvxt	t2kma−t(u+v)mcuvxt	INTJ
ejpam-3757	326	3	(	(	PUNCT
ejpam-3757	326	4	−(λy)u	−(λy)u	X
ejpam-3757	326	5	(	(	PUNCT
ejpam-3757	326	6	b	b	NOUN
ejpam-3757	326	7	a	a	PRON
ejpam-3757	326	8	)	)	PUNCT
ejpam-3757	326	9	uvt	uvt	NOUN
ejpam-3757	327	1	+	+	CCONJ
ejpam-3757	327	2	(	(	PUNCT
ejpam-3757	327	3	y	y	PROPN
ejpam-3757	327	4	+	+	PROPN
ejpam-3757	327	5	1)u	1)u	NUM
ejpam-3757	327	6	)	)	PUNCT
ejpam-3757	327	7	(	(	PUNCT
ejpam-3757	327	8	−(λy)v	−(λy)v	PROPN
ejpam-3757	327	9	(	(	PUNCT
ejpam-3757	327	10	b	b	PROPN
ejpam-3757	327	11	a	a	PRON
ejpam-3757	327	12	)	)	PUNCT
ejpam-3757	327	13	uvt	uvt	NOUN
ejpam-3757	328	1	+	+	CCONJ
ejpam-3757	328	2	(	(	PUNCT
ejpam-3757	328	3	y	y	PROPN
ejpam-3757	328	4	+	+	NUM
ejpam-3757	328	5	1)v	1)v	NUM
ejpam-3757	328	6	)	)	PUNCT
ejpam-3757	328	7	cuvzt	cuvzt	NOUN
ejpam-3757	328	8	(	(	PUNCT
ejpam-3757	328	9	1−	1−	NUM
ejpam-3757	328	10	y	y	PROPN
ejpam-3757	328	11	(	(	PUNCT
ejpam-3757	328	12	λ	λ	X
ejpam-3757	328	13	(	(	PUNCT
ejpam-3757	328	14	b	b	PROPN
ejpam-3757	328	15	a	a	X
ejpam-3757	328	16	)	)	PUNCT
ejpam-3757	328	17	ut	ut	PROPN
ejpam-3757	328	18	−	−	PROPN
ejpam-3757	328	19	1	1	NUM
ejpam-3757	328	20	)	)	PUNCT
ejpam-3757	328	21	)	)	PUNCT
ejpam-3757	329	1	m+1	m+1	PRON
ejpam-3757	329	2	(	(	PUNCT
ejpam-3757	329	3	1−	1−	NUM
ejpam-3757	329	4	y	y	PROPN
ejpam-3757	329	5	(	(	PUNCT
ejpam-3757	329	6	λ	λ	X
ejpam-3757	329	7	(	(	PUNCT
ejpam-3757	329	8	b	b	PROPN
ejpam-3757	329	9	a	a	NOUN
ejpam-3757	329	10	)	)	PUNCT
ejpam-3757	329	11	vt	vt	NOUN
ejpam-3757	329	12	−	−	PROPN
ejpam-3757	329	13	1	1	NUM
ejpam-3757	329	14	)	)	PUNCT
ejpam-3757	329	15	)	)	PUNCT
ejpam-3757	330	1	m+1	m+1	X
ejpam-3757	330	2	.	.	PUNCT
ejpam-3757	331	1	expanding	expand	VERB
ejpam-3757	331	2	h(t	h(t	PROPN
ejpam-3757	331	3	)	)	PUNCT
ejpam-3757	331	4	into	into	ADP
ejpam-3757	331	5	series	series	NOUN
ejpam-3757	331	6	,	,	PUNCT
ejpam-3757	331	7	we	we	PRON
ejpam-3757	331	8	have	have	VERB
ejpam-3757	331	9	h(t	h(t	NUM
ejpam-3757	331	10	)	)	PUNCT
ejpam-3757	332	1	=	=	PRON
ejpam-3757	332	2	(	(	PUNCT
ejpam-3757	332	3	y	y	PROPN
ejpam-3757	332	4	+	+	CCONJ
ejpam-3757	332	5	1)u−1(y	1)u−1(y	NUM
ejpam-3757	333	1	+	+	CCONJ
ejpam-3757	333	2	1)v−1	1)v−1	NUM
ejpam-3757	333	3	(	(	PUNCT
ejpam-3757	333	4	uv)km	uv)km	X
ejpam-3757	333	5			PROPN
ejpam-3757	333	6	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	333	7	1−	1−	NUM
ejpam-3757	334	1	y	y	PROPN
ejpam-3757	334	2	(	(	PUNCT
ejpam-3757	334	3	λ	λ	X
ejpam-3757	334	4	(	(	PUNCT
ejpam-3757	334	5	b	b	PROPN
ejpam-3757	334	6	a	a	X
ejpam-3757	334	7	)	)	PUNCT
ejpam-3757	334	8	ut	ut	PROPN
ejpam-3757	334	9	−	−	PROPN
ejpam-3757	334	10	1	1	NUM
ejpam-3757	334	11	)	)	PUNCT
ejpam-3757	334	12	m	m	PROPN
ejpam-3757	334	13	cvx(ut	cvx(ut	PROPN
ejpam-3757	334	14	)	)	PUNCT
ejpam-3757	335	1			PROPN
ejpam-3757	335	2	(	(	PUNCT
ejpam-3757	335	3	λy	λy	PROPN
ejpam-3757	335	4	y+1	y+1	PROPN
ejpam-3757	335	5	)	)	PUNCT
ejpam-3757	335	6	u	u	NOUN
ejpam-3757	335	7	(	(	PUNCT
ejpam-3757	335	8	b	b	PROPN
ejpam-3757	335	9	a	a	DET
ejpam-3757	335	10	)	)	PUNCT
ejpam-3757	335	11	uvt	uvt	NOUN
ejpam-3757	336	1	−	−	PROPN
ejpam-3757	336	2	1	1	NUM
ejpam-3757	336	3	λy	λy	PROPN
ejpam-3757	336	4	y+1	y+1	PRON
ejpam-3757	336	5	(	(	PUNCT
ejpam-3757	336	6	b	b	PROPN
ejpam-3757	336	7	a	a	X
ejpam-3757	336	8	)	)	PUNCT
ejpam-3757	336	9	vt	vt	NOUN
ejpam-3757	336	10	−	−	PROPN
ejpam-3757	336	11	1	1	NUM
ejpam-3757	336	12			PROPN
ejpam-3757	336	13	×	×	NOUN
ejpam-3757	336	14			PROPN
ejpam-3757	336	15	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	336	16	1−	1−	NUM
ejpam-3757	336	17	y	y	PROPN
ejpam-3757	336	18	(	(	PUNCT
ejpam-3757	336	19	λ	λ	X
ejpam-3757	336	20	(	(	PUNCT
ejpam-3757	336	21	b	b	PROPN
ejpam-3757	336	22	a	a	NOUN
ejpam-3757	336	23	)	)	PUNCT
ejpam-3757	336	24	vt	vt	NOUN
ejpam-3757	336	25	−	−	PROPN
ejpam-3757	336	26	1	1	NUM
ejpam-3757	336	27	)	)	PUNCT
ejpam-3757	336	28	m	m	NOUN
ejpam-3757	336	29	cuz(vt	cuz(vt	NOUN
ejpam-3757	336	30	)	)	PUNCT
ejpam-3757	336	31			PROPN
ejpam-3757	336	32	(	(	PUNCT
ejpam-3757	336	33	λy	λy	PROPN
ejpam-3757	336	34	y+1	y+1	NUM
ejpam-3757	336	35	)	)	PUNCT
ejpam-3757	336	36	v	v	X
ejpam-3757	336	37	(	(	PUNCT
ejpam-3757	336	38	b	b	NOUN
ejpam-3757	336	39	a	a	DET
ejpam-3757	336	40	)	)	PUNCT
ejpam-3757	336	41	uvt	uvt	NOUN
ejpam-3757	337	1	−	−	PROPN
ejpam-3757	337	2	1	1	NUM
ejpam-3757	337	3	λy	λy	PROPN
ejpam-3757	337	4	y+1	y+1	PRON
ejpam-3757	337	5	(	(	PUNCT
ejpam-3757	337	6	b	b	PROPN
ejpam-3757	337	7	a	a	X
ejpam-3757	337	8	)	)	PUNCT
ejpam-3757	337	9	ut	ut	PROPN
ejpam-3757	337	10	−	−	PROPN
ejpam-3757	337	11	1	1	NUM
ejpam-3757	337	12			PROPN
ejpam-3757	337	13	.	.	PUNCT
ejpam-3757	338	1	=	=	PUNCT
ejpam-3757	339	1	(	(	PUNCT
ejpam-3757	339	2	y	y	PROPN
ejpam-3757	339	3	+	+	CCONJ
ejpam-3757	339	4	1)u−1(y	1)u−1(y	NUM
ejpam-3757	340	1	+	+	CCONJ
ejpam-3757	340	2	1)v−1	1)v−1	NUM
ejpam-3757	340	3	(	(	PUNCT
ejpam-3757	340	4	uv)km	uv)km	X
ejpam-3757	340	5	u−1∑	u−1∑	NUM
ejpam-3757	340	6	i=0	i=0	PROPN
ejpam-3757	340	7	(	(	PUNCT
ejpam-3757	340	8	λy	λy	PROPN
ejpam-3757	340	9	y	y	PROPN
ejpam-3757	340	10	+	+	CCONJ
ejpam-3757	340	11	1	1	X
ejpam-3757	341	1	)	)	PUNCT
ejpam-3757	341	2	i	i	PRON
ejpam-3757	341	3	(	(	PUNCT
ejpam-3757	341	4	b	b	PROPN
ejpam-3757	341	5	a	a	PRON
ejpam-3757	341	6	)	)	PUNCT
ejpam-3757	341	7	ivt	ivt	NOUN
ejpam-3757	341	8	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	341	9	1−	1−	NUM
ejpam-3757	341	10	y	y	PROPN
ejpam-3757	341	11	(	(	PUNCT
ejpam-3757	341	12	λ	λ	X
ejpam-3757	341	13	(	(	PUNCT
ejpam-3757	341	14	b	b	PROPN
ejpam-3757	341	15	a	a	X
ejpam-3757	341	16	)	)	PUNCT
ejpam-3757	341	17	ut	ut	PROPN
ejpam-3757	341	18	−	−	PROPN
ejpam-3757	341	19	1	1	NUM
ejpam-3757	341	20	)	)	PUNCT
ejpam-3757	341	21	m	m	PROPN
ejpam-3757	341	22	cvx(ut	cvx(ut	PROPN
ejpam-3757	341	23	)	)	PUNCT
ejpam-3757	341	24	×	×	NOUN
ejpam-3757	341	25	v−1∑	v−1∑	NUM
ejpam-3757	341	26	j=0	j=0	PROPN
ejpam-3757	341	27	(	(	PUNCT
ejpam-3757	341	28	λy	λy	PROPN
ejpam-3757	341	29	y	y	PROPN
ejpam-3757	341	30	+	+	CCONJ
ejpam-3757	341	31	1	1	X
ejpam-3757	341	32	)	)	PUNCT
ejpam-3757	341	33	j	j	PROPN
ejpam-3757	341	34	(	(	PUNCT
ejpam-3757	341	35	b	b	PROPN
ejpam-3757	341	36	a	a	X
ejpam-3757	341	37	)	)	PUNCT
ejpam-3757	341	38	jut	jut	NOUN
ejpam-3757	341	39	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	341	40	1−	1−	NUM
ejpam-3757	342	1	y	y	PROPN
ejpam-3757	342	2	(	(	PUNCT
ejpam-3757	342	3	λ	λ	X
ejpam-3757	342	4	(	(	PUNCT
ejpam-3757	342	5	b	b	PROPN
ejpam-3757	342	6	a	a	NOUN
ejpam-3757	342	7	)	)	PUNCT
ejpam-3757	342	8	vt	vt	NOUN
ejpam-3757	342	9	−	−	PROPN
ejpam-3757	342	10	1	1	NUM
ejpam-3757	342	11	)	)	PUNCT
ejpam-3757	342	12	m	m	NOUN
ejpam-3757	342	13	cuz(vt	cuz(vt	NOUN
ejpam-3757	342	14	)	)	PUNCT
ejpam-3757	342	15	=	=	SYM
ejpam-3757	342	16	(	(	PUNCT
ejpam-3757	342	17	y	y	PROPN
ejpam-3757	342	18	+	+	NUM
ejpam-3757	342	19	1)u+v−2	1)u+v−2	NUM
ejpam-3757	342	20	(	(	PUNCT
ejpam-3757	342	21	uv)km	uv)km	ADP
ejpam-3757	342	22	∞∑	∞∑	PRON
ejpam-3757	342	23	n=0	n=0	NUM
ejpam-3757	342	24			NOUN
ejpam-3757	342	25	n∑	n∑	NOUN
ejpam-3757	342	26	r=0	r=0	PROPN
ejpam-3757	342	27	(	(	PUNCT
ejpam-3757	342	28	n	n	NOUN
ejpam-3757	342	29	r	r	NOUN
ejpam-3757	342	30	)	)	PUNCT
ejpam-3757	342	31	u−1∑	u−1∑	PROPN
ejpam-3757	342	32	i=0	i=0	PROPN
ejpam-3757	342	33	v−1∑	v−1∑	NUM
ejpam-3757	342	34	j=0	j=0	PROPN
ejpam-3757	342	35	(	(	PUNCT
ejpam-3757	342	36	λy	λy	PROPN
ejpam-3757	342	37	y	y	PROPN
ejpam-3757	342	38	+	+	CCONJ
ejpam-3757	342	39	1	1	NUM
ejpam-3757	342	40	)	)	PUNCT
ejpam-3757	342	41	i+j	i+j	NUM
ejpam-3757	342	42	urvn−rf	urvn−rf	X
ejpam-3757	342	43	(	(	PUNCT
ejpam-3757	342	44	m	m	NOUN
ejpam-3757	342	45	)	)	PUNCT
ejpam-3757	342	46	r	r	NOUN
ejpam-3757	342	47	,	,	PUNCT
ejpam-3757	342	48	k	k	PROPN
ejpam-3757	342	49	(	(	PUNCT
ejpam-3757	342	50	vx+	vx+	PROPN
ejpam-3757	342	51	v	v	NUM
ejpam-3757	342	52	u	u	NOUN
ejpam-3757	342	53	i	i	PRON
ejpam-3757	342	54	logc	logc	VERB
ejpam-3757	342	55	(	(	PUNCT
ejpam-3757	342	56	b	b	X
ejpam-3757	342	57	/	/	SYM
ejpam-3757	342	58	a	a	NOUN
ejpam-3757	342	59	)	)	PUNCT
ejpam-3757	342	60	,	,	PUNCT
ejpam-3757	342	61	y	y	PROPN
ejpam-3757	342	62	;	;	PUNCT
ejpam-3757	342	63	a	a	DET
ejpam-3757	342	64	,	,	PUNCT
ejpam-3757	342	65	b	b	NOUN
ejpam-3757	342	66	,	,	PUNCT
ejpam-3757	342	67	c;λ	c;λ	NUM
ejpam-3757	342	68	)	)	PUNCT
ejpam-3757	342	69	×	×	NOUN
ejpam-3757	342	70	f	f	X
ejpam-3757	342	71	(	(	PUNCT
ejpam-3757	342	72	m	m	NOUN
ejpam-3757	342	73	)	)	PUNCT
ejpam-3757	342	74	n−r	n−r	NOUN
ejpam-3757	342	75	,	,	PUNCT
ejpam-3757	342	76	k	k	PROPN
ejpam-3757	342	77	(	(	PUNCT
ejpam-3757	342	78	uz	uz	PROPN
ejpam-3757	342	79	+	+	CCONJ
ejpam-3757	342	80	u	u	PROPN
ejpam-3757	342	81	v	v	PROPN
ejpam-3757	342	82	j	j	PROPN
ejpam-3757	342	83	logc	logc	NOUN
ejpam-3757	342	84	(	(	PUNCT
ejpam-3757	342	85	b	b	X
ejpam-3757	342	86	/	/	SYM
ejpam-3757	342	87	a	a	NOUN
ejpam-3757	342	88	)	)	PUNCT
ejpam-3757	342	89	,	,	PUNCT
ejpam-3757	342	90	y	y	PROPN
ejpam-3757	342	91	;	;	PUNCT
ejpam-3757	342	92	a	a	DET
ejpam-3757	342	93	,	,	PUNCT
ejpam-3757	342	94	b	b	NOUN
ejpam-3757	342	95	,	,	PUNCT
ejpam-3757	342	96	c;λ	c;λ	NUM
ejpam-3757	342	97	)	)	PUNCT
ejpam-3757	342	98	]	]	PUNCT
ejpam-3757	342	99	tn	tn	PROPN
ejpam-3757	342	100	n	n	X
ejpam-3757	342	101	!	!	PUNCT
ejpam-3757	342	102	.	.	PUNCT
ejpam-3757	343	1	(	(	PUNCT
ejpam-3757	343	2	14	14	NUM
ejpam-3757	343	3	)	)	PUNCT
ejpam-3757	343	4	similarly	similarly	ADV
ejpam-3757	343	5	,	,	PUNCT
ejpam-3757	343	6	h(t	h(t	PROPN
ejpam-3757	343	7	)	)	PUNCT
ejpam-3757	343	8	=	=	PRON
ejpam-3757	344	1	(	(	PUNCT
ejpam-3757	344	2	y	y	PROPN
ejpam-3757	344	3	+	+	CCONJ
ejpam-3757	344	4	1)u−1(y	1)u−1(y	NUM
ejpam-3757	345	1	+	+	CCONJ
ejpam-3757	345	2	1)v−1	1)v−1	NUM
ejpam-3757	345	3	(	(	PUNCT
ejpam-3757	345	4	uv)km	uv)km	X
ejpam-3757	345	5			PROPN
ejpam-3757	345	6	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	345	7	1−	1−	NUM
ejpam-3757	346	1	y	y	PROPN
ejpam-3757	346	2	(	(	PUNCT
ejpam-3757	346	3	λ	λ	X
ejpam-3757	346	4	(	(	PUNCT
ejpam-3757	346	5	b	b	PROPN
ejpam-3757	346	6	a	a	NOUN
ejpam-3757	346	7	)	)	PUNCT
ejpam-3757	346	8	vt	vt	NOUN
ejpam-3757	346	9	−	−	PROPN
ejpam-3757	346	10	1	1	NUM
ejpam-3757	346	11	)	)	PUNCT
ejpam-3757	346	12	m	m	PROPN
ejpam-3757	346	13	cux(vt	cux(vt	PROPN
ejpam-3757	346	14	)	)	PUNCT
ejpam-3757	346	15			PROPN
ejpam-3757	346	16	(	(	PUNCT
ejpam-3757	346	17	λy	λy	PROPN
ejpam-3757	346	18	y+1	y+1	NUM
ejpam-3757	346	19	)	)	PUNCT
ejpam-3757	346	20	v	v	X
ejpam-3757	346	21	(	(	PUNCT
ejpam-3757	346	22	b	b	NOUN
ejpam-3757	346	23	a	a	DET
ejpam-3757	346	24	)	)	PUNCT
ejpam-3757	346	25	uvt	uvt	NOUN
ejpam-3757	347	1	−	−	PROPN
ejpam-3757	347	2	1	1	NUM
ejpam-3757	347	3	λy	λy	PROPN
ejpam-3757	347	4	y+1	y+1	PRON
ejpam-3757	347	5	(	(	PUNCT
ejpam-3757	347	6	b	b	PROPN
ejpam-3757	347	7	a	a	X
ejpam-3757	347	8	)	)	PUNCT
ejpam-3757	347	9	ut	ut	PROPN
ejpam-3757	347	10	−	−	PROPN
ejpam-3757	347	11	1	1	NUM
ejpam-3757	348	1			PROPN
ejpam-3757	348	2	×	×	NOUN
ejpam-3757	348	3			PROPN
ejpam-3757	348	4	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	348	5	1−	1−	NUM
ejpam-3757	349	1	y	y	PROPN
ejpam-3757	349	2	(	(	PUNCT
ejpam-3757	349	3	λ	λ	X
ejpam-3757	349	4	(	(	PUNCT
ejpam-3757	349	5	b	b	PROPN
ejpam-3757	349	6	a	a	X
ejpam-3757	349	7	)	)	PUNCT
ejpam-3757	349	8	ut	ut	PROPN
ejpam-3757	349	9	−	−	PROPN
ejpam-3757	349	10	1	1	NUM
ejpam-3757	349	11	)	)	PUNCT
ejpam-3757	349	12	m	m	NOUN
ejpam-3757	349	13	cvz(ut	cvz(ut	NOUN
ejpam-3757	349	14	)	)	PUNCT
ejpam-3757	350	1			PROPN
ejpam-3757	350	2	(	(	PUNCT
ejpam-3757	350	3	λy	λy	PROPN
ejpam-3757	350	4	y+1	y+1	PROPN
ejpam-3757	350	5	)	)	PUNCT
ejpam-3757	350	6	u	u	NOUN
ejpam-3757	350	7	(	(	PUNCT
ejpam-3757	350	8	b	b	PROPN
ejpam-3757	350	9	a	a	DET
ejpam-3757	350	10	)	)	PUNCT
ejpam-3757	350	11	uvt	uvt	NOUN
ejpam-3757	350	12	−	−	PROPN
ejpam-3757	350	13	1	1	NUM
ejpam-3757	350	14	λy	λy	PROPN
ejpam-3757	350	15	y+1	y+1	PRON
ejpam-3757	350	16	(	(	PUNCT
ejpam-3757	350	17	b	b	PROPN
ejpam-3757	350	18	a	a	X
ejpam-3757	350	19	)	)	PUNCT
ejpam-3757	350	20	vt	vt	NOUN
ejpam-3757	350	21	−	−	PROPN
ejpam-3757	350	22	1	1	NUM
ejpam-3757	350	23			PROPN
ejpam-3757	350	24	.	.	PUNCT
ejpam-3757	350	25	=	=	PUNCT
ejpam-3757	350	26	(	(	PUNCT
ejpam-3757	350	27	y	y	PROPN
ejpam-3757	350	28	+	+	CCONJ
ejpam-3757	350	29	1)u−1(y	1)u−1(y	NUM
ejpam-3757	350	30	+	+	CCONJ
ejpam-3757	350	31	1)v−1	1)v−1	NUM
ejpam-3757	350	32	(	(	PUNCT
ejpam-3757	350	33	uv)km	uv)km	NOUN
ejpam-3757	350	34	v−1∑	v−1∑	NUM
ejpam-3757	350	35	i=0	i=0	PROPN
ejpam-3757	350	36	(	(	PUNCT
ejpam-3757	350	37	λy	λy	PROPN
ejpam-3757	350	38	y	y	PROPN
ejpam-3757	350	39	+	+	CCONJ
ejpam-3757	350	40	1	1	X
ejpam-3757	350	41	)	)	PUNCT
ejpam-3757	350	42	i	i	PRON
ejpam-3757	350	43	(	(	PUNCT
ejpam-3757	350	44	b	b	PROPN
ejpam-3757	350	45	a	a	NOUN
ejpam-3757	350	46	)	)	PUNCT
ejpam-3757	350	47	iut	iut	NOUN
ejpam-3757	350	48	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	350	49	1−	1−	NUM
ejpam-3757	350	50	y	y	PROPN
ejpam-3757	350	51	(	(	PUNCT
ejpam-3757	350	52	λ	λ	X
ejpam-3757	350	53	(	(	PUNCT
ejpam-3757	350	54	b	b	PROPN
ejpam-3757	350	55	a	a	NOUN
ejpam-3757	350	56	)	)	PUNCT
ejpam-3757	350	57	vt	vt	NOUN
ejpam-3757	350	58	−	−	PROPN
ejpam-3757	350	59	1	1	NUM
ejpam-3757	350	60	)	)	PUNCT
ejpam-3757	350	61	m	m	PROPN
ejpam-3757	350	62	cux(vt	cux(vt	PROPN
ejpam-3757	350	63	)	)	PUNCT
ejpam-3757	350	64	×	×	NOUN
ejpam-3757	350	65	u−1∑	u−1∑	NUM
ejpam-3757	350	66	j=0	j=0	PROPN
ejpam-3757	350	67	(	(	PUNCT
ejpam-3757	350	68	λy	λy	PROPN
ejpam-3757	350	69	y	y	PROPN
ejpam-3757	350	70	+	+	CCONJ
ejpam-3757	350	71	1	1	X
ejpam-3757	350	72	)	)	PUNCT
ejpam-3757	350	73	j	j	PROPN
ejpam-3757	350	74	(	(	PUNCT
ejpam-3757	350	75	b	b	PROPN
ejpam-3757	350	76	a	a	X
ejpam-3757	350	77	)	)	PUNCT
ejpam-3757	350	78	jvt	jvt	PROPN
ejpam-3757	350	79	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	350	80	1−	1−	NUM
ejpam-3757	350	81	y	y	PROPN
ejpam-3757	350	82	(	(	PUNCT
ejpam-3757	350	83	λ	λ	X
ejpam-3757	350	84	(	(	PUNCT
ejpam-3757	350	85	b	b	PROPN
ejpam-3757	350	86	a	a	X
ejpam-3757	350	87	)	)	PUNCT
ejpam-3757	350	88	ut	ut	PROPN
ejpam-3757	350	89	−	−	PROPN
ejpam-3757	350	90	1	1	NUM
ejpam-3757	350	91	)	)	PUNCT
ejpam-3757	350	92	m	m	NOUN
ejpam-3757	350	93	cvz(ut	cvz(ut	NOUN
ejpam-3757	350	94	)	)	PUNCT
ejpam-3757	350	95	=	=	SYM
ejpam-3757	350	96	(	(	PUNCT
ejpam-3757	350	97	y	y	PROPN
ejpam-3757	350	98	+	+	NUM
ejpam-3757	350	99	1)u+v−2	1)u+v−2	NUM
ejpam-3757	350	100	(	(	PUNCT
ejpam-3757	350	101	uv)km	uv)km	ADP
ejpam-3757	350	102	∞∑	∞∑	PRON
ejpam-3757	350	103	n=0	n=0	NUM
ejpam-3757	350	104			NOUN
ejpam-3757	350	105	n∑	n∑	NOUN
ejpam-3757	350	106	r=0	r=0	PROPN
ejpam-3757	350	107	(	(	PUNCT
ejpam-3757	350	108	n	n	NOUN
ejpam-3757	350	109	r	r	NOUN
ejpam-3757	350	110	)	)	PUNCT
ejpam-3757	350	111	v−1∑	v−1∑	NUM
ejpam-3757	351	1	i=0	i=0	PROPN
ejpam-3757	351	2	u−1∑	u−1∑	NUM
ejpam-3757	351	3	j=0	j=0	PROPN
ejpam-3757	351	4	(	(	PUNCT
ejpam-3757	351	5	λy	λy	PROPN
ejpam-3757	351	6	y	y	PROPN
ejpam-3757	351	7	+	+	CCONJ
ejpam-3757	351	8	1	1	NUM
ejpam-3757	351	9	)	)	PUNCT
ejpam-3757	351	10	i+j	i+j	NUM
ejpam-3757	351	11	vrun−rf	vrun−rf	NOUN
ejpam-3757	351	12	(	(	PUNCT
ejpam-3757	351	13	m	m	NOUN
ejpam-3757	351	14	)	)	PUNCT
ejpam-3757	351	15	r	r	NOUN
ejpam-3757	351	16	,	,	PUNCT
ejpam-3757	351	17	k	k	PROPN
ejpam-3757	351	18	(	(	PUNCT
ejpam-3757	351	19	ux+	ux+	PROPN
ejpam-3757	351	20	u	u	NOUN
ejpam-3757	351	21	v	v	NOUN
ejpam-3757	351	22	i	i	PRON
ejpam-3757	351	23	logc	logc	VERB
ejpam-3757	351	24	(	(	PUNCT
ejpam-3757	351	25	b	b	X
ejpam-3757	351	26	/	/	SYM
ejpam-3757	351	27	a	a	NOUN
ejpam-3757	351	28	)	)	PUNCT
ejpam-3757	351	29	,	,	PUNCT
ejpam-3757	351	30	y	y	PROPN
ejpam-3757	351	31	;	;	PUNCT
ejpam-3757	351	32	a	a	DET
ejpam-3757	351	33	,	,	PUNCT
ejpam-3757	351	34	b	b	NOUN
ejpam-3757	351	35	,	,	PUNCT
ejpam-3757	351	36	c;λ	c;λ	NUM
ejpam-3757	351	37	)	)	PUNCT
ejpam-3757	351	38	n.	n.	NOUN
ejpam-3757	351	39	g.	g.	PROPN
ejpam-3757	351	40	acala	acala	PROPN
ejpam-3757	351	41	/	/	SYM
ejpam-3757	351	42	eur	eur	PROPN
ejpam-3757	351	43	.	.	PUNCT
ejpam-3757	352	1	j.	j.	PROPN
ejpam-3757	352	2	pure	pure	PROPN
ejpam-3757	352	3	appl	appl	PROPN
ejpam-3757	352	4	.	.	PROPN
ejpam-3757	352	5	math	math	PROPN
ejpam-3757	352	6	,	,	PUNCT
ejpam-3757	352	7	13	13	NUM
ejpam-3757	352	8	(	(	PUNCT
ejpam-3757	352	9	3	3	NUM
ejpam-3757	352	10	)	)	PUNCT
ejpam-3757	352	11	(	(	PUNCT
ejpam-3757	352	12	2020	2020	NUM
ejpam-3757	352	13	)	)	PUNCT
ejpam-3757	352	14	,	,	PUNCT
ejpam-3757	352	15	587	587	NUM
ejpam-3757	352	16	-	-	SYM
ejpam-3757	352	17	607	607	NUM
ejpam-3757	352	18	601	601	NUM
ejpam-3757	352	19	×	×	NOUN
ejpam-3757	352	20	f	f	X
ejpam-3757	352	21	(	(	PUNCT
ejpam-3757	352	22	m	m	NOUN
ejpam-3757	352	23	)	)	PUNCT
ejpam-3757	352	24	n−r	n−r	NOUN
ejpam-3757	352	25	,	,	PUNCT
ejpam-3757	352	26	k	k	PROPN
ejpam-3757	352	27	(	(	PUNCT
ejpam-3757	352	28	vz	vz	PROPN
ejpam-3757	353	1	+	+	CCONJ
ejpam-3757	353	2	v	v	NUM
ejpam-3757	353	3	u	u	NOUN
ejpam-3757	353	4	j	j	PROPN
ejpam-3757	353	5	logc	logc	NOUN
ejpam-3757	353	6	(	(	PUNCT
ejpam-3757	353	7	b	b	X
ejpam-3757	353	8	/	/	SYM
ejpam-3757	353	9	a	a	NOUN
ejpam-3757	353	10	)	)	PUNCT
ejpam-3757	353	11	,	,	PUNCT
ejpam-3757	353	12	y	y	PROPN
ejpam-3757	353	13	;	;	PUNCT
ejpam-3757	353	14	a	a	DET
ejpam-3757	353	15	,	,	PUNCT
ejpam-3757	353	16	b	b	NOUN
ejpam-3757	353	17	,	,	PUNCT
ejpam-3757	353	18	c;λ	c;λ	NUM
ejpam-3757	353	19	)	)	PUNCT
ejpam-3757	353	20	]	]	PUNCT
ejpam-3757	353	21	tn	tn	PROPN
ejpam-3757	353	22	n	n	X
ejpam-3757	353	23	!	!	PUNCT
ejpam-3757	353	24	.	.	PUNCT
ejpam-3757	354	1	(	(	PUNCT
ejpam-3757	354	2	15	15	X
ejpam-3757	354	3	)	)	PUNCT
ejpam-3757	354	4	comparing	compare	VERB
ejpam-3757	354	5	(	(	PUNCT
ejpam-3757	354	6	14	14	NUM
ejpam-3757	354	7	)	)	PUNCT
ejpam-3757	354	8	and	and	CCONJ
ejpam-3757	354	9	(	(	PUNCT
ejpam-3757	354	10	15	15	NUM
ejpam-3757	354	11	)	)	PUNCT
ejpam-3757	354	12	,	,	PUNCT
ejpam-3757	354	13	we	we	PRON
ejpam-3757	354	14	get	get	VERB
ejpam-3757	354	15	the	the	DET
ejpam-3757	354	16	desired	desire	VERB
ejpam-3757	354	17	result	result	NOUN
ejpam-3757	354	18	.	.	PUNCT
ejpam-3757	355	1	setting	set	VERB
ejpam-3757	355	2	y	y	PROPN
ejpam-3757	355	3	=	=	PUNCT
ejpam-3757	355	4	−1	−1	NOUN
ejpam-3757	355	5	2	2	NUM
ejpam-3757	355	6	and	and	CCONJ
ejpam-3757	355	7	k	k	NOUN
ejpam-3757	355	8	=	=	SYM
ejpam-3757	355	9	0	0	NUM
ejpam-3757	355	10	in	in	ADP
ejpam-3757	355	11	theorem	theorem	NOUN
ejpam-3757	355	12	6	6	NUM
ejpam-3757	355	13	,	,	PUNCT
ejpam-3757	355	14	we	we	PRON
ejpam-3757	355	15	obtain	obtain	VERB
ejpam-3757	355	16	the	the	DET
ejpam-3757	355	17	following	follow	VERB
ejpam-3757	355	18	corollary	corollary	NOUN
ejpam-3757	355	19	.	.	PUNCT
ejpam-3757	356	1	corollary	corollary	ADJ
ejpam-3757	356	2	13	13	NUM
ejpam-3757	356	3	.	.	PUNCT
ejpam-3757	357	1	for	for	ADP
ejpam-3757	357	2	u	u	PROPN
ejpam-3757	357	3	,	,	PUNCT
ejpam-3757	357	4	v	v	PROPN
ejpam-3757	357	5	,	,	PUNCT
ejpam-3757	357	6	m	m	VERB
ejpam-3757	357	7	∈	∈	ADJ
ejpam-3757	357	8	n	n	NOUN
ejpam-3757	357	9	and	and	CCONJ
ejpam-3757	357	10	n	n	PRON
ejpam-3757	357	11	∈	∈	PROPN
ejpam-3757	357	12	n0	n0	NOUN
ejpam-3757	357	13	,	,	PUNCT
ejpam-3757	357	14	we	we	PRON
ejpam-3757	357	15	have	have	VERB
ejpam-3757	358	1	n∑	n∑	ADV
ejpam-3757	358	2	r=0	r=0	PROPN
ejpam-3757	358	3	(	(	PUNCT
ejpam-3757	358	4	n	n	NOUN
ejpam-3757	358	5	r	r	NOUN
ejpam-3757	358	6	)	)	PUNCT
ejpam-3757	358	7	u−1∑	u−1∑	PROPN
ejpam-3757	358	8	i=0	i=0	PROPN
ejpam-3757	358	9	v−1∑	v−1∑	NUM
ejpam-3757	358	10	j=0	j=0	PROPN
ejpam-3757	358	11	(	(	PUNCT
ejpam-3757	358	12	−λ)i+j	−λ)i+j	NOUN
ejpam-3757	358	13	urvn−re(m	urvn−re(m	NUM
ejpam-3757	358	14	)	)	PUNCT
ejpam-3757	358	15	r	r	NOUN
ejpam-3757	358	16	(	(	PUNCT
ejpam-3757	358	17	vx+	vx+	PROPN
ejpam-3757	358	18	v	v	NUM
ejpam-3757	358	19	u	u	NOUN
ejpam-3757	358	20	i	i	PRON
ejpam-3757	358	21	logc	logc	VERB
ejpam-3757	358	22	(	(	PUNCT
ejpam-3757	358	23	b	b	X
ejpam-3757	358	24	/	/	SYM
ejpam-3757	358	25	a	a	NOUN
ejpam-3757	358	26	)	)	PUNCT
ejpam-3757	358	27	;	;	PUNCT
ejpam-3757	358	28	a	a	DET
ejpam-3757	358	29	,	,	PUNCT
ejpam-3757	358	30	b	b	NOUN
ejpam-3757	358	31	,	,	PUNCT
ejpam-3757	358	32	c;λ	c;λ	NUM
ejpam-3757	358	33	)	)	PUNCT
ejpam-3757	358	34	e	e	NOUN
ejpam-3757	358	35	(	(	PUNCT
ejpam-3757	358	36	m	m	NOUN
ejpam-3757	358	37	)	)	PUNCT
ejpam-3757	358	38	n−r	n−r	NOUN
ejpam-3757	358	39	(	(	PUNCT
ejpam-3757	358	40	uz	uz	NOUN
ejpam-3757	359	1	+	+	CCONJ
ejpam-3757	359	2	u	u	PROPN
ejpam-3757	359	3	v	v	PROPN
ejpam-3757	359	4	j	j	PROPN
ejpam-3757	359	5	logc	logc	NOUN
ejpam-3757	359	6	(	(	PUNCT
ejpam-3757	359	7	b	b	X
ejpam-3757	359	8	/	/	SYM
ejpam-3757	359	9	a	a	NOUN
ejpam-3757	359	10	)	)	PUNCT
ejpam-3757	359	11	;	;	PUNCT
ejpam-3757	359	12	a	a	DET
ejpam-3757	359	13	,	,	PUNCT
ejpam-3757	359	14	b	b	NOUN
ejpam-3757	359	15	,	,	PUNCT
ejpam-3757	359	16	c;λ	c;λ	NUM
ejpam-3757	359	17	)	)	PUNCT
ejpam-3757	359	18	=	=	PUNCT
ejpam-3757	360	1	n∑	n∑	NOUN
ejpam-3757	360	2	r=0	r=0	PROPN
ejpam-3757	360	3	(	(	PUNCT
ejpam-3757	360	4	n	n	NOUN
ejpam-3757	360	5	r	r	NOUN
ejpam-3757	360	6	)	)	PUNCT
ejpam-3757	360	7	v−1∑	v−1∑	NUM
ejpam-3757	361	1	i=0	i=0	PROPN
ejpam-3757	361	2	u−1∑	u−1∑	NUM
ejpam-3757	361	3	j=0	j=0	PROPN
ejpam-3757	361	4	(	(	PUNCT
ejpam-3757	361	5	−λ)i+j	−λ)i+j	PRON
ejpam-3757	361	6	vrun−re(m	vrun−re(m	ADJ
ejpam-3757	361	7	)	)	PUNCT
ejpam-3757	361	8	r	r	NOUN
ejpam-3757	361	9	(	(	PUNCT
ejpam-3757	361	10	ux+	ux+	ADJ
ejpam-3757	361	11	u	u	NOUN
ejpam-3757	361	12	v	v	NOUN
ejpam-3757	361	13	i	i	PRON
ejpam-3757	361	14	logc	logc	VERB
ejpam-3757	361	15	(	(	PUNCT
ejpam-3757	361	16	b	b	X
ejpam-3757	361	17	/	/	SYM
ejpam-3757	361	18	a	a	NOUN
ejpam-3757	361	19	)	)	PUNCT
ejpam-3757	361	20	;	;	PUNCT
ejpam-3757	361	21	a	a	DET
ejpam-3757	361	22	,	,	PUNCT
ejpam-3757	361	23	b	b	NOUN
ejpam-3757	361	24	,	,	PUNCT
ejpam-3757	361	25	c;λ	c;λ	NUM
ejpam-3757	361	26	)	)	PUNCT
ejpam-3757	361	27	e	e	NOUN
ejpam-3757	361	28	(	(	PUNCT
ejpam-3757	361	29	m	m	NOUN
ejpam-3757	361	30	)	)	PUNCT
ejpam-3757	361	31	n−r	n−r	NOUN
ejpam-3757	361	32	(	(	PUNCT
ejpam-3757	361	33	vz	vz	NOUN
ejpam-3757	362	1	+	+	CCONJ
ejpam-3757	362	2	v	v	NUM
ejpam-3757	362	3	u	u	NOUN
ejpam-3757	362	4	j	j	PROPN
ejpam-3757	362	5	logc	logc	NOUN
ejpam-3757	362	6	(	(	PUNCT
ejpam-3757	362	7	b	b	X
ejpam-3757	362	8	/	/	SYM
ejpam-3757	362	9	a	a	NOUN
ejpam-3757	362	10	)	)	PUNCT
ejpam-3757	362	11	;	;	PUNCT
ejpam-3757	362	12	a	a	DET
ejpam-3757	362	13	,	,	PUNCT
ejpam-3757	362	14	b	b	NOUN
ejpam-3757	362	15	,	,	PUNCT
ejpam-3757	362	16	c;λ	c;λ	NUM
ejpam-3757	362	17	)	)	PUNCT
ejpam-3757	362	18	.	.	PUNCT
ejpam-3757	363	1	setting	set	VERB
ejpam-3757	363	2	y	y	PROPN
ejpam-3757	363	3	=	=	SYM
ejpam-3757	363	4	−2	−2	PROPN
ejpam-3757	363	5	,	,	PUNCT
ejpam-3757	363	6	k	k	NOUN
ejpam-3757	363	7	=	=	PUNCT
ejpam-3757	363	8	0	0	PUNCT
ejpam-3757	363	9	and	and	CCONJ
ejpam-3757	363	10	replacing	replace	VERB
ejpam-3757	363	11	λ	λ	PROPN
ejpam-3757	363	12	by	by	ADP
ejpam-3757	363	13	λ	λ	PROPN
ejpam-3757	363	14	2	2	NUM
ejpam-3757	363	15	in	in	ADP
ejpam-3757	363	16	theorem	theorem	NOUN
ejpam-3757	363	17	6	6	NUM
ejpam-3757	363	18	,	,	PUNCT
ejpam-3757	363	19	we	we	PRON
ejpam-3757	363	20	obtain	obtain	VERB
ejpam-3757	363	21	the	the	DET
ejpam-3757	363	22	following	follow	VERB
ejpam-3757	363	23	corollary	corollary	NOUN
ejpam-3757	363	24	.	.	PUNCT
ejpam-3757	364	1	corollary	corollary	ADJ
ejpam-3757	364	2	14	14	NUM
ejpam-3757	364	3	.	.	PUNCT
ejpam-3757	365	1	for	for	ADP
ejpam-3757	365	2	u	u	PROPN
ejpam-3757	365	3	,	,	PUNCT
ejpam-3757	365	4	v	v	PROPN
ejpam-3757	365	5	,	,	PUNCT
ejpam-3757	365	6	m	m	VERB
ejpam-3757	365	7	∈	∈	ADJ
ejpam-3757	365	8	n	n	NOUN
ejpam-3757	365	9	and	and	CCONJ
ejpam-3757	365	10	n	n	PRON
ejpam-3757	365	11	∈	∈	PROPN
ejpam-3757	365	12	n0	n0	NOUN
ejpam-3757	365	13	,	,	PUNCT
ejpam-3757	365	14	we	we	PRON
ejpam-3757	365	15	have	have	VERB
ejpam-3757	366	1	n∑	n∑	ADV
ejpam-3757	366	2	r=0	r=0	PROPN
ejpam-3757	366	3	(	(	PUNCT
ejpam-3757	366	4	n	n	NOUN
ejpam-3757	366	5	r	r	NOUN
ejpam-3757	366	6	)	)	PUNCT
ejpam-3757	366	7	u−1∑	u−1∑	PROPN
ejpam-3757	366	8	i=0	i=0	PROPN
ejpam-3757	366	9	v−1∑	v−1∑	NUM
ejpam-3757	366	10	j=0	j=0	PROPN
ejpam-3757	366	11	(	(	PUNCT
ejpam-3757	366	12	λ)i+j	λ)i+j	ADV
ejpam-3757	366	13	urvn−rb(m	urvn−rb(m	ADJ
ejpam-3757	367	1	)	)	PUNCT
ejpam-3757	367	2	r	r	NOUN
ejpam-3757	367	3	(	(	PUNCT
ejpam-3757	367	4	vx+	vx+	PROPN
ejpam-3757	367	5	v	v	NUM
ejpam-3757	367	6	u	u	NOUN
ejpam-3757	367	7	i	i	PRON
ejpam-3757	367	8	logc	logc	VERB
ejpam-3757	367	9	(	(	PUNCT
ejpam-3757	367	10	b	b	X
ejpam-3757	367	11	/	/	SYM
ejpam-3757	367	12	a	a	NOUN
ejpam-3757	367	13	)	)	PUNCT
ejpam-3757	367	14	;	;	PUNCT
ejpam-3757	367	15	a	a	DET
ejpam-3757	367	16	,	,	PUNCT
ejpam-3757	367	17	b	b	NOUN
ejpam-3757	367	18	,	,	PUNCT
ejpam-3757	367	19	c;λ	c;λ	NUM
ejpam-3757	367	20	)	)	PUNCT
ejpam-3757	367	21	b	b	PROPN
ejpam-3757	367	22	(	(	PUNCT
ejpam-3757	367	23	m	m	NOUN
ejpam-3757	367	24	)	)	PUNCT
ejpam-3757	367	25	n−r	n−r	NOUN
ejpam-3757	367	26	(	(	PUNCT
ejpam-3757	367	27	uz	uz	NOUN
ejpam-3757	367	28	+	+	CCONJ
ejpam-3757	367	29	u	u	PROPN
ejpam-3757	367	30	v	v	PROPN
ejpam-3757	367	31	j	j	PROPN
ejpam-3757	367	32	logc	logc	NOUN
ejpam-3757	367	33	(	(	PUNCT
ejpam-3757	367	34	b	b	X
ejpam-3757	367	35	/	/	SYM
ejpam-3757	367	36	a	a	NOUN
ejpam-3757	367	37	)	)	PUNCT
ejpam-3757	367	38	;	;	PUNCT
ejpam-3757	367	39	a	a	DET
ejpam-3757	367	40	,	,	PUNCT
ejpam-3757	367	41	b	b	NOUN
ejpam-3757	367	42	,	,	PUNCT
ejpam-3757	367	43	c;λ	c;λ	NUM
ejpam-3757	367	44	)	)	PUNCT
ejpam-3757	368	1	=	=	PUNCT
ejpam-3757	369	1	n∑	n∑	NOUN
ejpam-3757	369	2	r=0	r=0	PROPN
ejpam-3757	369	3	(	(	PUNCT
ejpam-3757	369	4	n	n	NOUN
ejpam-3757	369	5	r	r	NOUN
ejpam-3757	369	6	)	)	PUNCT
ejpam-3757	369	7	v−1∑	v−1∑	NUM
ejpam-3757	370	1	i=0	i=0	PROPN
ejpam-3757	370	2	u−1∑	u−1∑	NUM
ejpam-3757	370	3	j=0	j=0	PROPN
ejpam-3757	370	4	(	(	PUNCT
ejpam-3757	370	5	λ)i+j	λ)i+j	ADV
ejpam-3757	370	6	vrun−rb(m	vrun−rb(m	ADJ
ejpam-3757	370	7	)	)	PUNCT
ejpam-3757	370	8	r	r	NOUN
ejpam-3757	370	9	(	(	PUNCT
ejpam-3757	370	10	ux+	ux+	ADJ
ejpam-3757	370	11	u	u	NOUN
ejpam-3757	370	12	v	v	NOUN
ejpam-3757	370	13	i	i	PRON
ejpam-3757	370	14	logc	logc	VERB
ejpam-3757	370	15	(	(	PUNCT
ejpam-3757	370	16	b	b	X
ejpam-3757	370	17	/	/	SYM
ejpam-3757	370	18	a	a	NOUN
ejpam-3757	370	19	)	)	PUNCT
ejpam-3757	370	20	;	;	PUNCT
ejpam-3757	370	21	a	a	DET
ejpam-3757	370	22	,	,	PUNCT
ejpam-3757	370	23	b	b	NOUN
ejpam-3757	370	24	,	,	PUNCT
ejpam-3757	370	25	c;λ	c;λ	NUM
ejpam-3757	370	26	)	)	PUNCT
ejpam-3757	370	27	b	b	PROPN
ejpam-3757	370	28	(	(	PUNCT
ejpam-3757	370	29	m	m	NOUN
ejpam-3757	370	30	)	)	PUNCT
ejpam-3757	370	31	n−r	n−r	NOUN
ejpam-3757	370	32	(	(	PUNCT
ejpam-3757	370	33	vz	vz	NOUN
ejpam-3757	371	1	+	+	CCONJ
ejpam-3757	371	2	v	v	NUM
ejpam-3757	371	3	u	u	NOUN
ejpam-3757	371	4	j	j	PROPN
ejpam-3757	371	5	logc	logc	NOUN
ejpam-3757	371	6	(	(	PUNCT
ejpam-3757	371	7	b	b	X
ejpam-3757	371	8	/	/	SYM
ejpam-3757	371	9	a	a	NOUN
ejpam-3757	371	10	)	)	PUNCT
ejpam-3757	371	11	;	;	PUNCT
ejpam-3757	371	12	a	a	DET
ejpam-3757	371	13	,	,	PUNCT
ejpam-3757	371	14	b	b	NOUN
ejpam-3757	371	15	,	,	PUNCT
ejpam-3757	371	16	c;λ	c;λ	NUM
ejpam-3757	371	17	)	)	PUNCT
ejpam-3757	371	18	.	.	PUNCT
ejpam-3757	372	1	setting	set	VERB
ejpam-3757	372	2	y	y	PROPN
ejpam-3757	372	3	=	=	PUNCT
ejpam-3757	372	4	−1	−1	NOUN
ejpam-3757	372	5	2	2	NUM
ejpam-3757	372	6	and	and	CCONJ
ejpam-3757	372	7	k	k	NOUN
ejpam-3757	372	8	=	=	SYM
ejpam-3757	372	9	1	1	NUM
ejpam-3757	372	10	in	in	ADP
ejpam-3757	372	11	theorem	theorem	NOUN
ejpam-3757	372	12	6	6	NUM
ejpam-3757	372	13	,	,	PUNCT
ejpam-3757	372	14	we	we	PRON
ejpam-3757	372	15	obtain	obtain	VERB
ejpam-3757	372	16	the	the	DET
ejpam-3757	372	17	following	follow	VERB
ejpam-3757	372	18	corollary	corollary	NOUN
ejpam-3757	372	19	.	.	PUNCT
ejpam-3757	373	1	corollary	corollary	ADJ
ejpam-3757	373	2	15	15	NUM
ejpam-3757	373	3	.	.	PUNCT
ejpam-3757	374	1	for	for	ADP
ejpam-3757	374	2	u	u	PROPN
ejpam-3757	374	3	,	,	PUNCT
ejpam-3757	374	4	v	v	PROPN
ejpam-3757	374	5	,	,	PUNCT
ejpam-3757	374	6	m	m	VERB
ejpam-3757	374	7	∈	∈	ADJ
ejpam-3757	374	8	n	n	NOUN
ejpam-3757	374	9	and	and	CCONJ
ejpam-3757	374	10	n	n	PRON
ejpam-3757	374	11	∈	∈	PROPN
ejpam-3757	374	12	n0	n0	NOUN
ejpam-3757	374	13	,	,	PUNCT
ejpam-3757	374	14	we	we	PRON
ejpam-3757	374	15	have	have	VERB
ejpam-3757	375	1	n∑	n∑	ADV
ejpam-3757	375	2	r=0	r=0	PROPN
ejpam-3757	375	3	(	(	PUNCT
ejpam-3757	375	4	n	n	NOUN
ejpam-3757	375	5	r	r	NOUN
ejpam-3757	375	6	)	)	PUNCT
ejpam-3757	375	7	u−1∑	u−1∑	PROPN
ejpam-3757	375	8	i=0	i=0	PROPN
ejpam-3757	375	9	v−1∑	v−1∑	NUM
ejpam-3757	375	10	j=0	j=0	PROPN
ejpam-3757	375	11	(	(	PUNCT
ejpam-3757	375	12	−λ)i+j	−λ)i+j	NOUN
ejpam-3757	375	13	urvn−rg(m	urvn−rg(m	ADJ
ejpam-3757	375	14	)	)	PUNCT
ejpam-3757	376	1	r	r	NOUN
ejpam-3757	376	2	(	(	PUNCT
ejpam-3757	376	3	vx+	vx+	PROPN
ejpam-3757	376	4	v	v	NUM
ejpam-3757	376	5	u	u	NOUN
ejpam-3757	376	6	i	i	PRON
ejpam-3757	376	7	logc	logc	VERB
ejpam-3757	376	8	(	(	PUNCT
ejpam-3757	376	9	b	b	X
ejpam-3757	376	10	/	/	SYM
ejpam-3757	376	11	a	a	NOUN
ejpam-3757	376	12	)	)	PUNCT
ejpam-3757	376	13	;	;	PUNCT
ejpam-3757	376	14	a	a	DET
ejpam-3757	376	15	,	,	PUNCT
ejpam-3757	376	16	b	b	NOUN
ejpam-3757	376	17	,	,	PUNCT
ejpam-3757	376	18	c;λ	c;λ	NUM
ejpam-3757	376	19	)	)	PUNCT
ejpam-3757	376	20	g	g	PROPN
ejpam-3757	376	21	(	(	PUNCT
ejpam-3757	376	22	m	m	NOUN
ejpam-3757	376	23	)	)	PUNCT
ejpam-3757	376	24	n−r	n−r	NOUN
ejpam-3757	376	25	(	(	PUNCT
ejpam-3757	376	26	uz	uz	NOUN
ejpam-3757	376	27	+	+	CCONJ
ejpam-3757	376	28	u	u	PROPN
ejpam-3757	376	29	v	v	PROPN
ejpam-3757	376	30	j	j	PROPN
ejpam-3757	376	31	logc	logc	NOUN
ejpam-3757	376	32	(	(	PUNCT
ejpam-3757	376	33	b	b	X
ejpam-3757	376	34	/	/	SYM
ejpam-3757	376	35	a	a	NOUN
ejpam-3757	376	36	)	)	PUNCT
ejpam-3757	376	37	;	;	PUNCT
ejpam-3757	376	38	a	a	DET
ejpam-3757	376	39	,	,	PUNCT
ejpam-3757	376	40	b	b	NOUN
ejpam-3757	376	41	,	,	PUNCT
ejpam-3757	376	42	c;λ	c;λ	NUM
ejpam-3757	376	43	)	)	PUNCT
ejpam-3757	377	1	=	=	PUNCT
ejpam-3757	378	1	n∑	n∑	NOUN
ejpam-3757	378	2	r=0	r=0	PROPN
ejpam-3757	378	3	(	(	PUNCT
ejpam-3757	378	4	n	n	NOUN
ejpam-3757	378	5	r	r	NOUN
ejpam-3757	378	6	)	)	PUNCT
ejpam-3757	378	7	v−1∑	v−1∑	NUM
ejpam-3757	379	1	i=0	i=0	PROPN
ejpam-3757	379	2	u−1∑	u−1∑	NUM
ejpam-3757	379	3	j=0	j=0	PROPN
ejpam-3757	379	4	(	(	PUNCT
ejpam-3757	379	5	−λ)i+j	−λ)i+j	PRON
ejpam-3757	379	6	vrun−rg(m	vrun−rg(m	ADJ
ejpam-3757	379	7	)	)	PUNCT
ejpam-3757	379	8	r	r	NOUN
ejpam-3757	379	9	(	(	PUNCT
ejpam-3757	379	10	ux+	ux+	ADJ
ejpam-3757	379	11	u	u	NOUN
ejpam-3757	379	12	v	v	NOUN
ejpam-3757	379	13	i	i	PRON
ejpam-3757	379	14	logc	logc	VERB
ejpam-3757	379	15	(	(	PUNCT
ejpam-3757	379	16	b	b	X
ejpam-3757	379	17	/	/	SYM
ejpam-3757	379	18	a	a	NOUN
ejpam-3757	379	19	)	)	PUNCT
ejpam-3757	379	20	;	;	PUNCT
ejpam-3757	379	21	a	a	DET
ejpam-3757	379	22	,	,	PUNCT
ejpam-3757	379	23	b	b	NOUN
ejpam-3757	379	24	,	,	PUNCT
ejpam-3757	379	25	c;λ	c;λ	NUM
ejpam-3757	379	26	)	)	PUNCT
ejpam-3757	379	27	g	g	PROPN
ejpam-3757	379	28	(	(	PUNCT
ejpam-3757	379	29	m	m	NOUN
ejpam-3757	379	30	)	)	PUNCT
ejpam-3757	379	31	n−r	n−r	NOUN
ejpam-3757	379	32	(	(	PUNCT
ejpam-3757	379	33	vz	vz	NOUN
ejpam-3757	380	1	+	+	CCONJ
ejpam-3757	380	2	v	v	NUM
ejpam-3757	380	3	u	u	NOUN
ejpam-3757	380	4	j	j	PROPN
ejpam-3757	380	5	logc	logc	NOUN
ejpam-3757	380	6	(	(	PUNCT
ejpam-3757	380	7	b	b	X
ejpam-3757	380	8	/	/	SYM
ejpam-3757	380	9	a	a	NOUN
ejpam-3757	380	10	)	)	PUNCT
ejpam-3757	380	11	;	;	PUNCT
ejpam-3757	380	12	a	a	DET
ejpam-3757	380	13	,	,	PUNCT
ejpam-3757	380	14	b	b	NOUN
ejpam-3757	380	15	,	,	PUNCT
ejpam-3757	380	16	c;λ	c;λ	NUM
ejpam-3757	380	17	)	)	PUNCT
ejpam-3757	380	18	.	.	PUNCT
ejpam-3757	381	1	setting	set	VERB
ejpam-3757	381	2	a	a	DET
ejpam-3757	381	3	=	=	SYM
ejpam-3757	381	4	1	1	NUM
ejpam-3757	381	5	and	and	CCONJ
ejpam-3757	381	6	b	b	X
ejpam-3757	381	7	=	=	SYM
ejpam-3757	381	8	c	c	NOUN
ejpam-3757	381	9	=	=	SYM
ejpam-3757	381	10	e	e	PROPN
ejpam-3757	381	11	in	in	ADP
ejpam-3757	381	12	theorem	theorem	NOUN
ejpam-3757	381	13	6	6	NUM
ejpam-3757	381	14	,	,	PUNCT
ejpam-3757	381	15	we	we	PRON
ejpam-3757	381	16	obtain	obtain	VERB
ejpam-3757	381	17	another	another	DET
ejpam-3757	381	18	symmetry	symmetry	NOUN
ejpam-3757	381	19	identity	identity	NOUN
ejpam-3757	381	20	for	for	ADP
ejpam-3757	381	21	the	the	DET
ejpam-3757	381	22	higher	high	ADJ
ejpam-3757	381	23	order	order	NOUN
ejpam-3757	381	24	bivariate	bivariate	ADJ
ejpam-3757	381	25	fubini	fubini	ADJ
ejpam-3757	381	26	-	-	ADJ
ejpam-3757	381	27	type	type	NOUN
ejpam-3757	381	28	polynomials	polynomial	NOUN
ejpam-3757	381	29	f	f	X
ejpam-3757	381	30	(	(	PUNCT
ejpam-3757	381	31	α	α	NOUN
ejpam-3757	381	32	)	)	PUNCT
ejpam-3757	381	33	n	n	CCONJ
ejpam-3757	381	34	,	,	PUNCT
ejpam-3757	381	35	k	k	PROPN
ejpam-3757	381	36	(	(	PUNCT
ejpam-3757	381	37	x	x	NOUN
ejpam-3757	381	38	,	,	PUNCT
ejpam-3757	381	39	y;λ	y;λ	PROPN
ejpam-3757	381	40	)	)	PUNCT
ejpam-3757	381	41	.	.	PUNCT
ejpam-3757	382	1	n.	n.	PROPN
ejpam-3757	382	2	g.	g.	PROPN
ejpam-3757	382	3	acala	acala	PROPN
ejpam-3757	382	4	/	/	SYM
ejpam-3757	382	5	eur	eur	PROPN
ejpam-3757	382	6	.	.	PUNCT
ejpam-3757	383	1	j.	j.	PROPN
ejpam-3757	383	2	pure	pure	PROPN
ejpam-3757	383	3	appl	appl	PROPN
ejpam-3757	383	4	.	.	PROPN
ejpam-3757	383	5	math	math	PROPN
ejpam-3757	383	6	,	,	PUNCT
ejpam-3757	383	7	13	13	NUM
ejpam-3757	383	8	(	(	PUNCT
ejpam-3757	383	9	3	3	NUM
ejpam-3757	383	10	)	)	PUNCT
ejpam-3757	383	11	(	(	PUNCT
ejpam-3757	383	12	2020	2020	NUM
ejpam-3757	383	13	)	)	PUNCT
ejpam-3757	383	14	,	,	PUNCT
ejpam-3757	383	15	587	587	NUM
ejpam-3757	383	16	-	-	SYM
ejpam-3757	383	17	607	607	NUM
ejpam-3757	383	18	602	602	NUM
ejpam-3757	383	19	corollary	corollary	ADJ
ejpam-3757	383	20	16	16	NUM
ejpam-3757	383	21	.	.	PUNCT
ejpam-3757	384	1	for	for	ADP
ejpam-3757	384	2	u	u	PROPN
ejpam-3757	384	3	,	,	PUNCT
ejpam-3757	384	4	v	v	PROPN
ejpam-3757	384	5	,	,	PUNCT
ejpam-3757	384	6	m	m	VERB
ejpam-3757	384	7	∈	∈	ADJ
ejpam-3757	384	8	n	n	NOUN
ejpam-3757	384	9	and	and	CCONJ
ejpam-3757	384	10	n	n	PRON
ejpam-3757	384	11	∈	∈	PROPN
ejpam-3757	384	12	n0	n0	NOUN
ejpam-3757	384	13	,	,	PUNCT
ejpam-3757	384	14	we	we	PRON
ejpam-3757	384	15	have	have	VERB
ejpam-3757	385	1	n∑	n∑	ADV
ejpam-3757	385	2	r=0	r=0	PROPN
ejpam-3757	385	3	(	(	PUNCT
ejpam-3757	385	4	n	n	NOUN
ejpam-3757	385	5	r	r	NOUN
ejpam-3757	385	6	)	)	PUNCT
ejpam-3757	385	7	u−1∑	u−1∑	PROPN
ejpam-3757	385	8	i=0	i=0	PROPN
ejpam-3757	385	9	v−1∑	v−1∑	NUM
ejpam-3757	385	10	j=0	j=0	PROPN
ejpam-3757	385	11	(	(	PUNCT
ejpam-3757	385	12	λy	λy	PROPN
ejpam-3757	385	13	y	y	PROPN
ejpam-3757	385	14	+	+	CCONJ
ejpam-3757	385	15	1	1	NUM
ejpam-3757	385	16	)	)	PUNCT
ejpam-3757	385	17	i+j	i+j	NUM
ejpam-3757	385	18	urvn−rf	urvn−rf	X
ejpam-3757	385	19	(	(	PUNCT
ejpam-3757	385	20	m	m	NOUN
ejpam-3757	385	21	)	)	PUNCT
ejpam-3757	385	22	r	r	NOUN
ejpam-3757	385	23	,	,	PUNCT
ejpam-3757	385	24	k	k	PROPN
ejpam-3757	385	25	(	(	PUNCT
ejpam-3757	385	26	vx+	vx+	PROPN
ejpam-3757	385	27	v	v	NUM
ejpam-3757	385	28	u	u	PROPN
ejpam-3757	385	29	i	i	PROPN
ejpam-3757	385	30	,	,	PUNCT
ejpam-3757	385	31	y;λ	y;λ	PROPN
ejpam-3757	385	32	)	)	PUNCT
ejpam-3757	385	33	f	f	PROPN
ejpam-3757	385	34	(	(	PUNCT
ejpam-3757	385	35	m	m	NOUN
ejpam-3757	385	36	)	)	PUNCT
ejpam-3757	385	37	n−r	n−r	NOUN
ejpam-3757	385	38	,	,	PUNCT
ejpam-3757	385	39	k	k	PROPN
ejpam-3757	385	40	(	(	PUNCT
ejpam-3757	385	41	uz	uz	PROPN
ejpam-3757	385	42	+	+	CCONJ
ejpam-3757	385	43	u	u	PROPN
ejpam-3757	385	44	v	v	PROPN
ejpam-3757	385	45	j	j	PROPN
ejpam-3757	385	46	,	,	PUNCT
ejpam-3757	385	47	y;λ	y;λ	PROPN
ejpam-3757	385	48	)	)	PUNCT
ejpam-3757	386	1	=	=	PUNCT
ejpam-3757	387	1	n∑	n∑	NOUN
ejpam-3757	387	2	r=0	r=0	PROPN
ejpam-3757	387	3	(	(	PUNCT
ejpam-3757	387	4	n	n	NOUN
ejpam-3757	387	5	r	r	NOUN
ejpam-3757	387	6	)	)	PUNCT
ejpam-3757	387	7	v−1∑	v−1∑	NUM
ejpam-3757	388	1	i=0	i=0	PROPN
ejpam-3757	388	2	u−1∑	u−1∑	NUM
ejpam-3757	388	3	j=0	j=0	PROPN
ejpam-3757	388	4	(	(	PUNCT
ejpam-3757	388	5	λy	λy	PROPN
ejpam-3757	388	6	y	y	PROPN
ejpam-3757	388	7	+	+	CCONJ
ejpam-3757	388	8	1	1	NUM
ejpam-3757	388	9	)	)	PUNCT
ejpam-3757	388	10	i+j	i+j	NUM
ejpam-3757	388	11	vrun−rf	vrun−rf	NOUN
ejpam-3757	388	12	(	(	PUNCT
ejpam-3757	388	13	m	m	NOUN
ejpam-3757	388	14	)	)	PUNCT
ejpam-3757	388	15	r	r	NOUN
ejpam-3757	388	16	,	,	PUNCT
ejpam-3757	388	17	k	k	PROPN
ejpam-3757	388	18	(	(	PUNCT
ejpam-3757	388	19	ux+	ux+	PROPN
ejpam-3757	388	20	u	u	NOUN
ejpam-3757	388	21	v	v	ADP
ejpam-3757	388	22	i	i	PROPN
ejpam-3757	388	23	,	,	PUNCT
ejpam-3757	388	24	y;λ	y;λ	PROPN
ejpam-3757	388	25	)	)	PUNCT
ejpam-3757	388	26	f	f	PROPN
ejpam-3757	388	27	(	(	PUNCT
ejpam-3757	388	28	m	m	NOUN
ejpam-3757	388	29	)	)	PUNCT
ejpam-3757	388	30	n−r	n−r	NOUN
ejpam-3757	388	31	,	,	PUNCT
ejpam-3757	388	32	k	k	PROPN
ejpam-3757	388	33	(	(	PUNCT
ejpam-3757	388	34	vz	vz	PROPN
ejpam-3757	388	35	+	+	CCONJ
ejpam-3757	388	36	v	v	NUM
ejpam-3757	388	37	u	u	PROPN
ejpam-3757	388	38	j	j	PROPN
ejpam-3757	388	39	,	,	PUNCT
ejpam-3757	388	40	y;λ	y;λ	PROPN
ejpam-3757	388	41	)	)	PUNCT
ejpam-3757	388	42	.	.	PUNCT
ejpam-3757	389	1	taking	take	VERB
ejpam-3757	389	2	y	y	NOUN
ejpam-3757	389	3	=	=	PUNCT
ejpam-3757	389	4	−(2k−1ab+1	−(2k−1ab+1	NOUN
ejpam-3757	389	5	)	)	PUNCT
ejpam-3757	389	6	and	and	CCONJ
ejpam-3757	389	7	λ	λ	X
ejpam-3757	389	8	=	=	SYM
ejpam-3757	389	9	2k−1βb	2k−1βb	NUM
ejpam-3757	389	10	2k−1	2k−1	NUM
ejpam-3757	389	11	+	+	CCONJ
ejpam-3757	389	12	1	1	NUM
ejpam-3757	389	13	in	in	ADP
ejpam-3757	389	14	corollary	corollary	ADJ
ejpam-3757	389	15	16	16	NUM
ejpam-3757	389	16	,	,	PUNCT
ejpam-3757	389	17	we	we	PRON
ejpam-3757	389	18	get	get	AUX
ejpam-3757	389	19	theorem	theorem	VERB
ejpam-3757	389	20	3.5	3.5	NUM
ejpam-3757	389	21	of	of	ADP
ejpam-3757	389	22	[	[	X
ejpam-3757	389	23	25	25	NUM
ejpam-3757	389	24	]	]	PUNCT
ejpam-3757	389	25	.	.	PUNCT
ejpam-3757	390	1	corollary	corollary	ADJ
ejpam-3757	390	2	17	17	NUM
ejpam-3757	390	3	.	.	PUNCT
ejpam-3757	391	1	for	for	ADP
ejpam-3757	391	2	a	a	DET
ejpam-3757	391	3	,	,	PUNCT
ejpam-3757	391	4	b	b	X
ejpam-3757	391	5	>	>	X
ejpam-3757	391	6	0;β	0;β	NUM
ejpam-3757	391	7	∈	∈	PROPN
ejpam-3757	391	8	c	c	X
ejpam-3757	391	9	;	;	PUNCT
ejpam-3757	391	10	u	u	NOUN
ejpam-3757	391	11	,	,	PUNCT
ejpam-3757	391	12	v	v	NOUN
ejpam-3757	391	13	,	,	PUNCT
ejpam-3757	391	14	m	m	VERB
ejpam-3757	391	15	∈	∈	ADJ
ejpam-3757	391	16	n	n	NOUN
ejpam-3757	391	17	and	and	CCONJ
ejpam-3757	391	18	n	n	PRON
ejpam-3757	391	19	∈	∈	PROPN
ejpam-3757	391	20	n0	n0	NOUN
ejpam-3757	391	21	,	,	PUNCT
ejpam-3757	391	22	we	we	PRON
ejpam-3757	391	23	have	have	VERB
ejpam-3757	392	1	n∑	n∑	ADV
ejpam-3757	393	1	r=0	r=0	PROPN
ejpam-3757	393	2	(	(	PUNCT
ejpam-3757	393	3	n	n	NOUN
ejpam-3757	393	4	r	r	NOUN
ejpam-3757	393	5	)	)	PUNCT
ejpam-3757	393	6	u−1∑	u−1∑	PROPN
ejpam-3757	393	7	i=0	i=0	PROPN
ejpam-3757	393	8	v−1∑	v−1∑	NUM
ejpam-3757	393	9	j=0	j=0	PROPN
ejpam-3757	393	10	(	(	PUNCT
ejpam-3757	393	11	β	β	X
ejpam-3757	393	12	a	a	X
ejpam-3757	393	13	)	)	PUNCT
ejpam-3757	393	14	b(i+j	b(i+j	NOUN
ejpam-3757	393	15	)	)	PUNCT
ejpam-3757	393	16	urvn−rp	urvn−rp	PROPN
ejpam-3757	393	17	(	(	PUNCT
ejpam-3757	393	18	m	m	NOUN
ejpam-3757	393	19	)	)	PUNCT
ejpam-3757	393	20	r	r	NOUN
ejpam-3757	393	21	,	,	PUNCT
ejpam-3757	393	22	β	β	X
ejpam-3757	393	23	(	(	PUNCT
ejpam-3757	393	24	vx+	vx+	PROPN
ejpam-3757	393	25	v	v	NUM
ejpam-3757	393	26	u	u	PROPN
ejpam-3757	393	27	i	i	X
ejpam-3757	393	28	;	;	PUNCT
ejpam-3757	393	29	k	k	X
ejpam-3757	393	30	,	,	PUNCT
ejpam-3757	393	31	a	a	PRON
ejpam-3757	393	32	,	,	PUNCT
ejpam-3757	393	33	b	b	NOUN
ejpam-3757	393	34	)	)	PUNCT
ejpam-3757	394	1	p	p	NOUN
ejpam-3757	394	2	(	(	PUNCT
ejpam-3757	394	3	m	m	NOUN
ejpam-3757	394	4	)	)	PUNCT
ejpam-3757	394	5	n−r	n−r	NOUN
ejpam-3757	394	6	,	,	PUNCT
ejpam-3757	394	7	β	β	X
ejpam-3757	394	8	(	(	PUNCT
ejpam-3757	394	9	uz	uz	PROPN
ejpam-3757	394	10	+	+	CCONJ
ejpam-3757	394	11	u	u	PROPN
ejpam-3757	394	12	v	v	PROPN
ejpam-3757	394	13	j	j	PROPN
ejpam-3757	394	14	;	;	PUNCT
ejpam-3757	394	15	k	k	PROPN
ejpam-3757	394	16	,	,	PUNCT
ejpam-3757	394	17	a	a	PRON
ejpam-3757	394	18	,	,	PUNCT
ejpam-3757	394	19	b	b	NOUN
ejpam-3757	394	20	)	)	PUNCT
ejpam-3757	394	21	=	=	SYM
ejpam-3757	395	1	n∑	n∑	NOUN
ejpam-3757	395	2	r=0	r=0	PROPN
ejpam-3757	395	3	(	(	PUNCT
ejpam-3757	395	4	n	n	NOUN
ejpam-3757	395	5	r	r	NOUN
ejpam-3757	395	6	)	)	PUNCT
ejpam-3757	395	7	v−1∑	v−1∑	NUM
ejpam-3757	396	1	i=0	i=0	PROPN
ejpam-3757	396	2	u−1∑	u−1∑	NUM
ejpam-3757	396	3	j=0	j=0	PROPN
ejpam-3757	396	4	(	(	PUNCT
ejpam-3757	396	5	β	β	X
ejpam-3757	396	6	a	a	X
ejpam-3757	396	7	)	)	PUNCT
ejpam-3757	396	8	b(i+j	b(i+j	NOUN
ejpam-3757	396	9	)	)	PUNCT
ejpam-3757	396	10	vrun−rp	vrun−rp	NOUN
ejpam-3757	396	11	(	(	PUNCT
ejpam-3757	396	12	m	m	NOUN
ejpam-3757	396	13	)	)	PUNCT
ejpam-3757	396	14	r	r	NOUN
ejpam-3757	396	15	,	,	PUNCT
ejpam-3757	396	16	β	β	X
ejpam-3757	396	17	(	(	PUNCT
ejpam-3757	396	18	ux+	ux+	PROPN
ejpam-3757	396	19	u	u	NOUN
ejpam-3757	396	20	v	v	ADP
ejpam-3757	396	21	i	i	PRON
ejpam-3757	396	22	;	;	PUNCT
ejpam-3757	396	23	k	k	X
ejpam-3757	396	24	,	,	PUNCT
ejpam-3757	396	25	a	a	PRON
ejpam-3757	396	26	,	,	PUNCT
ejpam-3757	396	27	b	b	NOUN
ejpam-3757	396	28	)	)	PUNCT
ejpam-3757	396	29	p	p	NOUN
ejpam-3757	396	30	(	(	PUNCT
ejpam-3757	396	31	m	m	NOUN
ejpam-3757	396	32	)	)	PUNCT
ejpam-3757	396	33	n−r	n−r	NOUN
ejpam-3757	396	34	,	,	PUNCT
ejpam-3757	396	35	k	k	PROPN
ejpam-3757	396	36	(	(	PUNCT
ejpam-3757	396	37	vz	vz	PROPN
ejpam-3757	396	38	+	+	CCONJ
ejpam-3757	396	39	v	v	NUM
ejpam-3757	396	40	u	u	PROPN
ejpam-3757	396	41	j	j	PROPN
ejpam-3757	396	42	;	;	PUNCT
ejpam-3757	396	43	k	k	PROPN
ejpam-3757	396	44	,	,	PUNCT
ejpam-3757	396	45	a	a	PRON
ejpam-3757	396	46	,	,	PUNCT
ejpam-3757	396	47	b	b	NOUN
ejpam-3757	396	48	)	)	PUNCT
ejpam-3757	396	49	.	.	PUNCT
ejpam-3757	397	1	theorem	theorem	VERB
ejpam-3757	397	2	7	7	NUM
ejpam-3757	397	3	.	.	X
ejpam-3757	397	4	for	for	ADP
ejpam-3757	397	5	u	u	PROPN
ejpam-3757	397	6	,	,	PUNCT
ejpam-3757	397	7	v	v	PROPN
ejpam-3757	397	8	,	,	PUNCT
ejpam-3757	397	9	m	m	NOUN
ejpam-3757	397	10	∈	∈	PROPN
ejpam-3757	397	11	n	n	CCONJ
ejpam-3757	397	12	,	,	PUNCT
ejpam-3757	397	13	n	n	PROPN
ejpam-3757	397	14	∈	∈	PROPN
ejpam-3757	397	15	n0	n0	NOUN
ejpam-3757	397	16	and	and	CCONJ
ejpam-3757	397	17	y	y	PROPN
ejpam-3757	397	18	6=	6=	PROPN
ejpam-3757	397	19	−1	−1	PROPN
ejpam-3757	397	20	,	,	PUNCT
ejpam-3757	397	21	we	we	PRON
ejpam-3757	397	22	have	have	VERB
ejpam-3757	397	23	n∑	n∑	ADV
ejpam-3757	398	1	r=0	r=0	PROPN
ejpam-3757	398	2	(	(	PUNCT
ejpam-3757	398	3	n	n	NOUN
ejpam-3757	398	4	r	r	NOUN
ejpam-3757	398	5	)	)	PUNCT
ejpam-3757	398	6	u−1∑	u−1∑	PROPN
ejpam-3757	398	7	i=0	i=0	PROPN
ejpam-3757	398	8	v−1∑	v−1∑	NUM
ejpam-3757	398	9	j=0	j=0	PROPN
ejpam-3757	398	10	(	(	PUNCT
ejpam-3757	398	11	λy	λy	PROPN
ejpam-3757	398	12	y	y	PROPN
ejpam-3757	398	13	+	+	CCONJ
ejpam-3757	398	14	1	1	NUM
ejpam-3757	398	15	)	)	PUNCT
ejpam-3757	398	16	i+j	i+j	NUM
ejpam-3757	398	17	urvn−rf	urvn−rf	X
ejpam-3757	398	18	(	(	PUNCT
ejpam-3757	398	19	m	m	NOUN
ejpam-3757	398	20	)	)	PUNCT
ejpam-3757	398	21	r	r	NOUN
ejpam-3757	398	22	,	,	PUNCT
ejpam-3757	398	23	k	k	PROPN
ejpam-3757	398	24	(	(	PUNCT
ejpam-3757	398	25	vx+	vx+	PROPN
ejpam-3757	398	26	(	(	PUNCT
ejpam-3757	398	27	i	i	PRON
ejpam-3757	398	28	v	v	NOUN
ejpam-3757	398	29	u	u	NOUN
ejpam-3757	398	30	+	+	CCONJ
ejpam-3757	398	31	j	j	NOUN
ejpam-3757	398	32	)	)	PUNCT
ejpam-3757	398	33	logc(b	logc(b	PROPN
ejpam-3757	398	34	/	/	SYM
ejpam-3757	398	35	a	a	NOUN
ejpam-3757	398	36	)	)	PUNCT
ejpam-3757	398	37	,	,	PUNCT
ejpam-3757	398	38	y	y	PROPN
ejpam-3757	398	39	;	;	PUNCT
ejpam-3757	398	40	a	a	DET
ejpam-3757	398	41	,	,	PUNCT
ejpam-3757	398	42	b	b	NOUN
ejpam-3757	398	43	,	,	PUNCT
ejpam-3757	398	44	c;λ	c;λ	NUM
ejpam-3757	398	45	)	)	PUNCT
ejpam-3757	398	46	f	f	PROPN
ejpam-3757	398	47	(	(	PUNCT
ejpam-3757	398	48	m	m	NOUN
ejpam-3757	398	49	)	)	PUNCT
ejpam-3757	398	50	n−r	n−r	NOUN
ejpam-3757	398	51	,	,	PUNCT
ejpam-3757	398	52	k	k	PROPN
ejpam-3757	398	53	(	(	PUNCT
ejpam-3757	398	54	uz	uz	PROPN
ejpam-3757	398	55	,	,	PUNCT
ejpam-3757	398	56	y	y	PROPN
ejpam-3757	398	57	;	;	PUNCT
ejpam-3757	398	58	a	a	DET
ejpam-3757	398	59	,	,	PUNCT
ejpam-3757	398	60	b	b	NOUN
ejpam-3757	398	61	,	,	PUNCT
ejpam-3757	398	62	c;λ	c;λ	NUM
ejpam-3757	398	63	)	)	PUNCT
ejpam-3757	398	64	=	=	SYM
ejpam-3757	398	65	n∑	n∑	NOUN
ejpam-3757	399	1	r=0	r=0	PROPN
ejpam-3757	399	2	(	(	PUNCT
ejpam-3757	399	3	n	n	NOUN
ejpam-3757	399	4	r	r	NOUN
ejpam-3757	399	5	)	)	PUNCT
ejpam-3757	399	6	v−1∑	v−1∑	NUM
ejpam-3757	399	7	i=0	i=0	PROPN
ejpam-3757	399	8	u−1∑	u−1∑	NUM
ejpam-3757	399	9	j=0	j=0	PROPN
ejpam-3757	399	10	(	(	PUNCT
ejpam-3757	399	11	λy	λy	PROPN
ejpam-3757	399	12	y	y	PROPN
ejpam-3757	399	13	+	+	CCONJ
ejpam-3757	399	14	1	1	NUM
ejpam-3757	399	15	)	)	PUNCT
ejpam-3757	399	16	i+j	i+j	NUM
ejpam-3757	399	17	vrun−rf	vrun−rf	NOUN
ejpam-3757	399	18	(	(	PUNCT
ejpam-3757	399	19	m	m	NOUN
ejpam-3757	399	20	)	)	PUNCT
ejpam-3757	399	21	r	r	NOUN
ejpam-3757	399	22	,	,	PUNCT
ejpam-3757	399	23	k	k	PROPN
ejpam-3757	399	24	(	(	PUNCT
ejpam-3757	399	25	ux+	ux+	PROPN
ejpam-3757	399	26	(	(	PUNCT
ejpam-3757	399	27	i	i	NOUN
ejpam-3757	399	28	u	u	X
ejpam-3757	399	29	v	v	ADP
ejpam-3757	399	30	+	+	CCONJ
ejpam-3757	399	31	j	j	NOUN
ejpam-3757	399	32	)	)	PUNCT
ejpam-3757	399	33	logc(b	logc(b	PROPN
ejpam-3757	399	34	/	/	SYM
ejpam-3757	399	35	a	a	NOUN
ejpam-3757	399	36	)	)	PUNCT
ejpam-3757	399	37	,	,	PUNCT
ejpam-3757	399	38	y	y	PROPN
ejpam-3757	399	39	;	;	PUNCT
ejpam-3757	399	40	a	a	DET
ejpam-3757	399	41	,	,	PUNCT
ejpam-3757	399	42	b	b	NOUN
ejpam-3757	399	43	,	,	PUNCT
ejpam-3757	399	44	c;λ	c;λ	NUM
ejpam-3757	399	45	)	)	PUNCT
ejpam-3757	399	46	f	f	PROPN
ejpam-3757	399	47	(	(	PUNCT
ejpam-3757	399	48	m	m	NOUN
ejpam-3757	399	49	)	)	PUNCT
ejpam-3757	399	50	n−r	n−r	NOUN
ejpam-3757	399	51	,	,	PUNCT
ejpam-3757	399	52	k	k	PROPN
ejpam-3757	399	53	(	(	PUNCT
ejpam-3757	399	54	vz	vz	PROPN
ejpam-3757	399	55	,	,	PUNCT
ejpam-3757	399	56	y	y	PROPN
ejpam-3757	399	57	;	;	PUNCT
ejpam-3757	399	58	a	a	DET
ejpam-3757	399	59	,	,	PUNCT
ejpam-3757	399	60	b	b	NOUN
ejpam-3757	399	61	,	,	PUNCT
ejpam-3757	399	62	c;λ	c;λ	NUM
ejpam-3757	399	63	)	)	PUNCT
ejpam-3757	399	64	.	.	PUNCT
ejpam-3757	400	1	proof	proof	NOUN
ejpam-3757	400	2	:	:	PUNCT
ejpam-3757	400	3	consider	consider	VERB
ejpam-3757	400	4	l(t	l(t	NOUN
ejpam-3757	400	5	)	)	PUNCT
ejpam-3757	401	1	=	=	SYM
ejpam-3757	401	2	t2kma−t(u+v)mcuvxt	t2kma−t(u+v)mcuvxt	INTJ
ejpam-3757	401	3	(	(	PUNCT
ejpam-3757	401	4	−(λy)u	−(λy)u	X
ejpam-3757	401	5	(	(	PUNCT
ejpam-3757	401	6	b	b	NOUN
ejpam-3757	401	7	a	a	PRON
ejpam-3757	401	8	)	)	PUNCT
ejpam-3757	401	9	uvt	uvt	NOUN
ejpam-3757	402	1	+	+	CCONJ
ejpam-3757	402	2	(	(	PUNCT
ejpam-3757	402	3	y	y	PROPN
ejpam-3757	402	4	+	+	PROPN
ejpam-3757	402	5	1)u	1)u	NUM
ejpam-3757	402	6	)	)	PUNCT
ejpam-3757	402	7	(	(	PUNCT
ejpam-3757	402	8	−(λy)v	−(λy)v	PROPN
ejpam-3757	402	9	(	(	PUNCT
ejpam-3757	402	10	b	b	PROPN
ejpam-3757	402	11	a	a	PRON
ejpam-3757	402	12	)	)	PUNCT
ejpam-3757	402	13	uvt	uvt	NOUN
ejpam-3757	403	1	+	+	CCONJ
ejpam-3757	403	2	(	(	PUNCT
ejpam-3757	403	3	y	y	PROPN
ejpam-3757	403	4	+	+	NUM
ejpam-3757	403	5	1)v	1)v	NUM
ejpam-3757	403	6	)	)	PUNCT
ejpam-3757	403	7	cuvzt	cuvzt	NOUN
ejpam-3757	403	8	(	(	PUNCT
ejpam-3757	403	9	1−	1−	NUM
ejpam-3757	403	10	y	y	PROPN
ejpam-3757	403	11	(	(	PUNCT
ejpam-3757	403	12	λ	λ	X
ejpam-3757	403	13	(	(	PUNCT
ejpam-3757	403	14	b	b	PROPN
ejpam-3757	403	15	a	a	X
ejpam-3757	403	16	)	)	PUNCT
ejpam-3757	403	17	ut	ut	PROPN
ejpam-3757	403	18	−	−	PROPN
ejpam-3757	403	19	1	1	NUM
ejpam-3757	403	20	)	)	PUNCT
ejpam-3757	403	21	)	)	PUNCT
ejpam-3757	404	1	m+1	m+1	PRON
ejpam-3757	404	2	(	(	PUNCT
ejpam-3757	404	3	1−	1−	NUM
ejpam-3757	404	4	y	y	PROPN
ejpam-3757	404	5	(	(	PUNCT
ejpam-3757	404	6	λ	λ	X
ejpam-3757	404	7	(	(	PUNCT
ejpam-3757	404	8	b	b	PROPN
ejpam-3757	404	9	a	a	NOUN
ejpam-3757	404	10	)	)	PUNCT
ejpam-3757	404	11	vt	vt	NOUN
ejpam-3757	404	12	−	−	PROPN
ejpam-3757	404	13	1	1	NUM
ejpam-3757	404	14	)	)	PUNCT
ejpam-3757	404	15	)	)	PUNCT
ejpam-3757	405	1	m+1	m+1	X
ejpam-3757	405	2	.	.	PUNCT
ejpam-3757	406	1	expanding	expand	VERB
ejpam-3757	406	2	l(t	l(t	NOUN
ejpam-3757	406	3	)	)	PUNCT
ejpam-3757	406	4	into	into	ADP
ejpam-3757	406	5	a	a	DET
ejpam-3757	406	6	series	series	NOUN
ejpam-3757	406	7	,	,	PUNCT
ejpam-3757	406	8	we	we	PRON
ejpam-3757	406	9	get	get	VERB
ejpam-3757	406	10	l(t	l(t	NOUN
ejpam-3757	406	11	)	)	PUNCT
ejpam-3757	407	1	=	=	SYM
ejpam-3757	407	2	(	(	PUNCT
ejpam-3757	407	3	y	y	PROPN
ejpam-3757	407	4	+	+	CCONJ
ejpam-3757	407	5	1)u−1(y	1)u−1(y	NUM
ejpam-3757	408	1	+	+	CCONJ
ejpam-3757	408	2	1)v−1	1)v−1	NUM
ejpam-3757	408	3	(	(	PUNCT
ejpam-3757	408	4	uv)km	uv)km	X
ejpam-3757	408	5			PROPN
ejpam-3757	408	6	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	408	7	1−	1−	NUM
ejpam-3757	409	1	y	y	PROPN
ejpam-3757	409	2	(	(	PUNCT
ejpam-3757	409	3	λ	λ	X
ejpam-3757	409	4	(	(	PUNCT
ejpam-3757	409	5	b	b	PROPN
ejpam-3757	409	6	a	a	X
ejpam-3757	409	7	)	)	PUNCT
ejpam-3757	409	8	ut	ut	PROPN
ejpam-3757	409	9	−	−	PROPN
ejpam-3757	409	10	1	1	NUM
ejpam-3757	409	11	)	)	PUNCT
ejpam-3757	409	12	m	m	AUX
ejpam-3757	409	13	cuvxtt	cuvxtt	VERB
ejpam-3757	409	14			PROPN
ejpam-3757	409	15	(	(	PUNCT
ejpam-3757	409	16	λy	λy	PROPN
ejpam-3757	409	17	y+1	y+1	PROPN
ejpam-3757	409	18	)	)	PUNCT
ejpam-3757	409	19	u	u	NOUN
ejpam-3757	409	20	(	(	PUNCT
ejpam-3757	409	21	b	b	PROPN
ejpam-3757	409	22	a	a	DET
ejpam-3757	409	23	)	)	PUNCT
ejpam-3757	409	24	uvt	uvt	NOUN
ejpam-3757	409	25	−	−	PROPN
ejpam-3757	409	26	1	1	NUM
ejpam-3757	409	27	λy	λy	PROPN
ejpam-3757	409	28	y+1	y+1	PRON
ejpam-3757	409	29	(	(	PUNCT
ejpam-3757	409	30	b	b	PROPN
ejpam-3757	409	31	a	a	X
ejpam-3757	409	32	)	)	PUNCT
ejpam-3757	409	33	vt	vt	NOUN
ejpam-3757	409	34	−	−	PROPN
ejpam-3757	409	35	1	1	NUM
ejpam-3757	409	36			PROPN
ejpam-3757	409	37	×	×	NOUN
ejpam-3757	409	38			PROPN
ejpam-3757	409	39	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	409	40	1−	1−	NUM
ejpam-3757	409	41	y	y	PROPN
ejpam-3757	409	42	(	(	PUNCT
ejpam-3757	409	43	λ	λ	X
ejpam-3757	409	44	(	(	PUNCT
ejpam-3757	409	45	b	b	PROPN
ejpam-3757	409	46	a	a	NOUN
ejpam-3757	409	47	)	)	PUNCT
ejpam-3757	409	48	vt	vt	NOUN
ejpam-3757	409	49	−	−	PROPN
ejpam-3757	409	50	1	1	NUM
ejpam-3757	409	51	)	)	PUNCT
ejpam-3757	409	52	m	m	NOUN
ejpam-3757	409	53	cuvzt	cuvzt	NOUN
ejpam-3757	410	1			PROPN
ejpam-3757	410	2	(	(	PUNCT
ejpam-3757	410	3	λy	λy	PROPN
ejpam-3757	410	4	y+1	y+1	NUM
ejpam-3757	410	5	)	)	PUNCT
ejpam-3757	410	6	v	v	X
ejpam-3757	410	7	(	(	PUNCT
ejpam-3757	410	8	b	b	NOUN
ejpam-3757	410	9	a	a	DET
ejpam-3757	410	10	)	)	PUNCT
ejpam-3757	410	11	uvt	uvt	NOUN
ejpam-3757	411	1	−	−	PROPN
ejpam-3757	411	2	1	1	NUM
ejpam-3757	411	3	λy	λy	PROPN
ejpam-3757	411	4	y+1	y+1	PRON
ejpam-3757	411	5	(	(	PUNCT
ejpam-3757	411	6	b	b	PROPN
ejpam-3757	411	7	a	a	X
ejpam-3757	411	8	)	)	PUNCT
ejpam-3757	411	9	ut	ut	PROPN
ejpam-3757	411	10	−	−	PROPN
ejpam-3757	411	11	1	1	NUM
ejpam-3757	411	12			PROPN
ejpam-3757	411	13	.	.	PUNCT
ejpam-3757	412	1	=	=	PUNCT
ejpam-3757	413	1	(	(	PUNCT
ejpam-3757	413	2	y	y	PROPN
ejpam-3757	413	3	+	+	CCONJ
ejpam-3757	413	4	1)u−1(y	1)u−1(y	NUM
ejpam-3757	414	1	+	+	CCONJ
ejpam-3757	414	2	1)v−1	1)v−1	NUM
ejpam-3757	414	3	(	(	PUNCT
ejpam-3757	414	4	uv)km	uv)km	X
ejpam-3757	414	5	u−1∑	u−1∑	NUM
ejpam-3757	414	6	i=0	i=0	PROPN
ejpam-3757	414	7	v−1∑	v−1∑	NUM
ejpam-3757	414	8	j=0	j=0	PROPN
ejpam-3757	414	9	(	(	PUNCT
ejpam-3757	414	10	λy	λy	PROPN
ejpam-3757	414	11	y	y	PROPN
ejpam-3757	414	12	+	+	CCONJ
ejpam-3757	414	13	1	1	NUM
ejpam-3757	414	14	)	)	PUNCT
ejpam-3757	414	15	i+j	i+j	NUM
ejpam-3757	414	16	(	(	PUNCT
ejpam-3757	414	17	b	b	NOUN
ejpam-3757	414	18	a	a	NOUN
ejpam-3757	414	19	)	)	PUNCT
ejpam-3757	414	20	(	(	PUNCT
ejpam-3757	414	21	iv+ju)t	iv+ju)t	PROPN
ejpam-3757	414	22	cvx(ut	cvx(ut	VERB
ejpam-3757	414	23	)	)	PUNCT
ejpam-3757	414	24			PROPN
ejpam-3757	414	25	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	414	26	1−	1−	NUM
ejpam-3757	415	1	y	y	PROPN
ejpam-3757	415	2	(	(	PUNCT
ejpam-3757	415	3	λ	λ	X
ejpam-3757	415	4	(	(	PUNCT
ejpam-3757	415	5	b	b	PROPN
ejpam-3757	415	6	a	a	X
ejpam-3757	415	7	)	)	PUNCT
ejpam-3757	415	8	ut	ut	PROPN
ejpam-3757	415	9	−	−	PROPN
ejpam-3757	415	10	1	1	NUM
ejpam-3757	415	11	)	)	PUNCT
ejpam-3757	415	12	m	m	PROPN
ejpam-3757	415	13	n.	n.	PROPN
ejpam-3757	415	14	g.	g.	PROPN
ejpam-3757	415	15	acala	acala	PROPN
ejpam-3757	415	16	/	/	SYM
ejpam-3757	415	17	eur	eur	PROPN
ejpam-3757	415	18	.	.	PUNCT
ejpam-3757	416	1	j.	j.	PROPN
ejpam-3757	416	2	pure	pure	PROPN
ejpam-3757	416	3	appl	appl	PROPN
ejpam-3757	416	4	.	.	PROPN
ejpam-3757	416	5	math	math	PROPN
ejpam-3757	416	6	,	,	PUNCT
ejpam-3757	416	7	13	13	NUM
ejpam-3757	416	8	(	(	PUNCT
ejpam-3757	416	9	3	3	NUM
ejpam-3757	416	10	)	)	PUNCT
ejpam-3757	416	11	(	(	PUNCT
ejpam-3757	416	12	2020	2020	NUM
ejpam-3757	416	13	)	)	PUNCT
ejpam-3757	416	14	,	,	PUNCT
ejpam-3757	416	15	587	587	NUM
ejpam-3757	416	16	-	-	SYM
ejpam-3757	416	17	607	607	NUM
ejpam-3757	416	18	603	603	NUM
ejpam-3757	416	19	×	×	NOUN
ejpam-3757	416	20			PROPN
ejpam-3757	416	21	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	416	22	1−	1−	NUM
ejpam-3757	417	1	y	y	PROPN
ejpam-3757	417	2	(	(	PUNCT
ejpam-3757	417	3	λ	λ	X
ejpam-3757	417	4	(	(	PUNCT
ejpam-3757	417	5	b	b	PROPN
ejpam-3757	417	6	a	a	NOUN
ejpam-3757	417	7	)	)	PUNCT
ejpam-3757	417	8	vt	vt	NOUN
ejpam-3757	417	9	−	−	PROPN
ejpam-3757	417	10	1	1	NUM
ejpam-3757	417	11	)	)	PUNCT
ejpam-3757	417	12	m	m	NOUN
ejpam-3757	417	13	cuz(vt	cuz(vt	NOUN
ejpam-3757	417	14	)	)	PUNCT
ejpam-3757	417	15	=	=	SYM
ejpam-3757	417	16	(	(	PUNCT
ejpam-3757	417	17	y	y	PROPN
ejpam-3757	417	18	+	+	CCONJ
ejpam-3757	417	19	1)u−1(y	1)u−1(y	NUM
ejpam-3757	418	1	+	+	CCONJ
ejpam-3757	418	2	1)v−1	1)v−1	NUM
ejpam-3757	418	3	(	(	PUNCT
ejpam-3757	418	4	uv)km	uv)km	X
ejpam-3757	418	5	u−1∑	u−1∑	PRON
ejpam-3757	418	6	i=0	i=0	PROPN
ejpam-3757	418	7	v−1∑	v−1∑	NUM
ejpam-3757	418	8	j=0	j=0	PROPN
ejpam-3757	418	9	(	(	PUNCT
ejpam-3757	418	10	λy	λy	PROPN
ejpam-3757	418	11	y	y	PROPN
ejpam-3757	418	12	+	+	CCONJ
ejpam-3757	418	13	1	1	NUM
ejpam-3757	418	14	)	)	PUNCT
ejpam-3757	418	15	i+j	i+j	NUM
ejpam-3757	419	1	∞∑	∞∑	DET
ejpam-3757	419	2	n=0	n=0	NUM
ejpam-3757	419	3	f	f	X
ejpam-3757	419	4	(	(	PUNCT
ejpam-3757	419	5	m	m	NOUN
ejpam-3757	419	6	)	)	PUNCT
ejpam-3757	419	7	n	n	CCONJ
ejpam-3757	419	8	,	,	PUNCT
ejpam-3757	419	9	k	k	PROPN
ejpam-3757	419	10	(	(	PUNCT
ejpam-3757	419	11	vx+	vx+	PROPN
ejpam-3757	419	12	(	(	PUNCT
ejpam-3757	419	13	i	i	PRON
ejpam-3757	419	14	v	v	NOUN
ejpam-3757	419	15	u	u	NOUN
ejpam-3757	419	16	+	+	CCONJ
ejpam-3757	419	17	j	j	NOUN
ejpam-3757	419	18	)	)	PUNCT
ejpam-3757	419	19	logc(b	logc(b	PROPN
ejpam-3757	419	20	/	/	SYM
ejpam-3757	419	21	a	a	NOUN
ejpam-3757	419	22	)	)	PUNCT
ejpam-3757	419	23	,	,	PUNCT
ejpam-3757	420	1	y	y	PROPN
ejpam-3757	420	2	;	;	PUNCT
ejpam-3757	420	3	a	a	DET
ejpam-3757	420	4	,	,	PUNCT
ejpam-3757	420	5	b	b	NOUN
ejpam-3757	420	6	,	,	PUNCT
ejpam-3757	420	7	c;λ	c;λ	NUM
ejpam-3757	420	8	)	)	PUNCT
ejpam-3757	420	9	(	(	PUNCT
ejpam-3757	420	10	ut)n	ut)n	PROPN
ejpam-3757	420	11	n	n	CCONJ
ejpam-3757	420	12	!	!	PUNCT
ejpam-3757	421	1			NOUN
ejpam-3757	421	2	×	×	VERB
ejpam-3757	421	3	∞∑	∞∑	ADJ
ejpam-3757	421	4	n=0	n=0	NUM
ejpam-3757	421	5	f	f	X
ejpam-3757	421	6	(	(	PUNCT
ejpam-3757	421	7	m	m	NOUN
ejpam-3757	421	8	)	)	PUNCT
ejpam-3757	421	9	n	n	CCONJ
ejpam-3757	421	10	,	,	PUNCT
ejpam-3757	421	11	k	k	PROPN
ejpam-3757	421	12	(	(	PUNCT
ejpam-3757	421	13	uz	uz	PROPN
ejpam-3757	421	14	,	,	PUNCT
ejpam-3757	421	15	y	y	PROPN
ejpam-3757	421	16	;	;	PUNCT
ejpam-3757	421	17	a	a	DET
ejpam-3757	421	18	,	,	PUNCT
ejpam-3757	421	19	b	b	NOUN
ejpam-3757	421	20	,	,	PUNCT
ejpam-3757	421	21	c;λ	c;λ	NUM
ejpam-3757	421	22	)	)	PUNCT
ejpam-3757	421	23	(	(	PUNCT
ejpam-3757	421	24	vt)n	vt)n	NOUN
ejpam-3757	421	25	n	n	X
ejpam-3757	421	26	!	!	PUNCT
ejpam-3757	421	27	=	=	PUNCT
ejpam-3757	422	1	(	(	PUNCT
ejpam-3757	422	2	y	y	PROPN
ejpam-3757	422	3	+	+	NUM
ejpam-3757	422	4	1)u+v−2	1)u+v−2	NUM
ejpam-3757	422	5	(	(	PUNCT
ejpam-3757	422	6	uv)km	uv)km	ADP
ejpam-3757	422	7	∞∑	∞∑	PRON
ejpam-3757	422	8	n=0	n=0	NUM
ejpam-3757	422	9			NOUN
ejpam-3757	422	10	n∑	n∑	NOUN
ejpam-3757	422	11	r=0	r=0	PROPN
ejpam-3757	422	12	(	(	PUNCT
ejpam-3757	422	13	n	n	NOUN
ejpam-3757	422	14	r	r	NOUN
ejpam-3757	422	15	)	)	PUNCT
ejpam-3757	422	16	u−1∑	u−1∑	PROPN
ejpam-3757	422	17	i=0	i=0	PROPN
ejpam-3757	422	18	v−1∑	v−1∑	NUM
ejpam-3757	422	19	j=0	j=0	PROPN
ejpam-3757	422	20	(	(	PUNCT
ejpam-3757	422	21	λy	λy	PROPN
ejpam-3757	422	22	y	y	PROPN
ejpam-3757	422	23	+	+	CCONJ
ejpam-3757	422	24	1	1	NUM
ejpam-3757	422	25	)	)	PUNCT
ejpam-3757	422	26	i+j	i+j	NUM
ejpam-3757	422	27	urvn−rf	urvn−rf	X
ejpam-3757	422	28	(	(	PUNCT
ejpam-3757	422	29	m	m	NOUN
ejpam-3757	422	30	)	)	PUNCT
ejpam-3757	422	31	r	r	NOUN
ejpam-3757	422	32	,	,	PUNCT
ejpam-3757	422	33	k	k	PROPN
ejpam-3757	422	34	(	(	PUNCT
ejpam-3757	422	35	vx+	vx+	PROPN
ejpam-3757	422	36	(	(	PUNCT
ejpam-3757	422	37	i	i	PRON
ejpam-3757	422	38	v	v	NOUN
ejpam-3757	422	39	u	u	NOUN
ejpam-3757	422	40	+	+	CCONJ
ejpam-3757	422	41	j	j	NOUN
ejpam-3757	422	42	)	)	PUNCT
ejpam-3757	422	43	logc(b	logc(b	PROPN
ejpam-3757	422	44	/	/	SYM
ejpam-3757	422	45	a	a	NOUN
ejpam-3757	422	46	)	)	PUNCT
ejpam-3757	422	47	,	,	PUNCT
ejpam-3757	422	48	y	y	PROPN
ejpam-3757	422	49	;	;	PUNCT
ejpam-3757	422	50	a	a	DET
ejpam-3757	422	51	,	,	PUNCT
ejpam-3757	422	52	b	b	NOUN
ejpam-3757	422	53	,	,	PUNCT
ejpam-3757	422	54	c;λ	c;λ	NUM
ejpam-3757	422	55	)	)	PUNCT
ejpam-3757	422	56	×	×	NOUN
ejpam-3757	422	57	f	f	X
ejpam-3757	422	58	(	(	PUNCT
ejpam-3757	422	59	m	m	NOUN
ejpam-3757	422	60	)	)	PUNCT
ejpam-3757	422	61	n−r	n−r	NOUN
ejpam-3757	422	62	,	,	PUNCT
ejpam-3757	422	63	k	k	PROPN
ejpam-3757	422	64	(	(	PUNCT
ejpam-3757	422	65	uz	uz	PROPN
ejpam-3757	422	66	,	,	PUNCT
ejpam-3757	422	67	y	y	PROPN
ejpam-3757	422	68	;	;	PUNCT
ejpam-3757	422	69	a	a	DET
ejpam-3757	422	70	,	,	PUNCT
ejpam-3757	422	71	b	b	NOUN
ejpam-3757	422	72	,	,	PUNCT
ejpam-3757	422	73	c;λ	c;λ	NUM
ejpam-3757	422	74	)	)	PUNCT
ejpam-3757	422	75	]	]	PUNCT
ejpam-3757	422	76	tn	tn	PROPN
ejpam-3757	422	77	n	n	X
ejpam-3757	422	78	!	!	PUNCT
ejpam-3757	422	79	.	.	PUNCT
ejpam-3757	423	1	(	(	PUNCT
ejpam-3757	423	2	16	16	NUM
ejpam-3757	423	3	)	)	PUNCT
ejpam-3757	423	4	similarly	similarly	ADV
ejpam-3757	423	5	,	,	PUNCT
ejpam-3757	423	6	l(t	l(t	PROPN
ejpam-3757	423	7	)	)	PUNCT
ejpam-3757	424	1	=	=	SYM
ejpam-3757	424	2	(	(	PUNCT
ejpam-3757	424	3	y	y	PROPN
ejpam-3757	424	4	+	+	CCONJ
ejpam-3757	424	5	1)u−1(y	1)u−1(y	NUM
ejpam-3757	425	1	+	+	CCONJ
ejpam-3757	425	2	1)v−1	1)v−1	NUM
ejpam-3757	425	3	(	(	PUNCT
ejpam-3757	425	4	uv)km	uv)km	X
ejpam-3757	425	5			PROPN
ejpam-3757	425	6	a−vt(vt)k	a−vt(vt)k	PROPN
ejpam-3757	425	7	1−	1−	NUM
ejpam-3757	426	1	y	y	PROPN
ejpam-3757	426	2	(	(	PUNCT
ejpam-3757	426	3	λ	λ	X
ejpam-3757	426	4	(	(	PUNCT
ejpam-3757	426	5	b	b	PROPN
ejpam-3757	426	6	a	a	NOUN
ejpam-3757	426	7	)	)	PUNCT
ejpam-3757	426	8	vt	vt	NOUN
ejpam-3757	426	9	−	−	PROPN
ejpam-3757	426	10	1	1	NUM
ejpam-3757	426	11	)	)	PUNCT
ejpam-3757	426	12	m	m	PROPN
ejpam-3757	426	13	cux(vt	cux(vt	PROPN
ejpam-3757	426	14	)	)	PUNCT
ejpam-3757	426	15			PROPN
ejpam-3757	426	16	(	(	PUNCT
ejpam-3757	426	17	λy	λy	PROPN
ejpam-3757	426	18	y+1	y+1	NUM
ejpam-3757	426	19	)	)	PUNCT
ejpam-3757	426	20	v	v	X
ejpam-3757	426	21	(	(	PUNCT
ejpam-3757	426	22	b	b	NOUN
ejpam-3757	426	23	a	a	DET
ejpam-3757	426	24	)	)	PUNCT
ejpam-3757	426	25	uvt	uvt	NOUN
ejpam-3757	427	1	−	−	PROPN
ejpam-3757	427	2	1	1	NUM
ejpam-3757	427	3	λy	λy	PROPN
ejpam-3757	427	4	y+1	y+1	PRON
ejpam-3757	427	5	(	(	PUNCT
ejpam-3757	427	6	b	b	PROPN
ejpam-3757	427	7	a	a	X
ejpam-3757	427	8	)	)	PUNCT
ejpam-3757	427	9	ut	ut	PROPN
ejpam-3757	428	1	−	−	PROPN
ejpam-3757	428	2	1	1	NUM
ejpam-3757	429	1			PROPN
ejpam-3757	429	2	×	×	NOUN
ejpam-3757	429	3			PROPN
ejpam-3757	429	4	(	(	PUNCT
ejpam-3757	429	5	λy	λy	PROPN
ejpam-3757	429	6	y+1	y+1	PROPN
ejpam-3757	429	7	)	)	PUNCT
ejpam-3757	429	8	u	u	NOUN
ejpam-3757	429	9	(	(	PUNCT
ejpam-3757	429	10	b	b	PROPN
ejpam-3757	429	11	a	a	DET
ejpam-3757	429	12	)	)	PUNCT
ejpam-3757	429	13	uvt	uvt	NOUN
ejpam-3757	430	1	−	−	PROPN
ejpam-3757	430	2	1	1	NUM
ejpam-3757	430	3	λy	λy	PROPN
ejpam-3757	430	4	y+1	y+1	PRON
ejpam-3757	430	5	(	(	PUNCT
ejpam-3757	430	6	b	b	PROPN
ejpam-3757	430	7	a	a	X
ejpam-3757	430	8	)	)	PUNCT
ejpam-3757	430	9	vt	vt	NOUN
ejpam-3757	430	10	−	−	PROPN
ejpam-3757	430	11	1	1	NUM
ejpam-3757	430	12			PUNCT
ejpam-3757	430	13	a−ut(ut)k	a−ut(ut)k	PROPN
ejpam-3757	430	14	1−	1−	NUM
ejpam-3757	431	1	y	y	PROPN
ejpam-3757	431	2	(	(	PUNCT
ejpam-3757	431	3	λ	λ	X
ejpam-3757	431	4	(	(	PUNCT
ejpam-3757	431	5	b	b	PROPN
ejpam-3757	431	6	a	a	NOUN
ejpam-3757	431	7	)	)	PUNCT
ejpam-3757	431	8	vt	vt	NOUN
ejpam-3757	431	9	−	−	PROPN
ejpam-3757	431	10	1	1	NUM
ejpam-3757	431	11	)	)	PUNCT
ejpam-3757	431	12	m	m	PROPN
ejpam-3757	431	13	cvz(ut	cvz(ut	NOUN
ejpam-3757	431	14	)	)	PUNCT
ejpam-3757	431	15	.	.	PUNCT
ejpam-3757	432	1	=	=	PUNCT
ejpam-3757	433	1	(	(	PUNCT
ejpam-3757	433	2	y	y	PROPN
ejpam-3757	433	3	+	+	NUM
ejpam-3757	433	4	1)u+v−2	1)u+v−2	NUM
ejpam-3757	433	5	(	(	PUNCT
ejpam-3757	433	6	uv)km	uv)km	ADP
ejpam-3757	433	7	∞∑	∞∑	PRON
ejpam-3757	433	8	n=0	n=0	NUM
ejpam-3757	433	9			NOUN
ejpam-3757	433	10	n∑	n∑	NOUN
ejpam-3757	433	11	r=0	r=0	PROPN
ejpam-3757	433	12	(	(	PUNCT
ejpam-3757	433	13	n	n	NOUN
ejpam-3757	433	14	r	r	NOUN
ejpam-3757	433	15	)	)	PUNCT
ejpam-3757	433	16	v−1∑	v−1∑	NUM
ejpam-3757	433	17	i=0	i=0	PROPN
ejpam-3757	433	18	u−1∑	u−1∑	NUM
ejpam-3757	433	19	j=0	j=0	PROPN
ejpam-3757	433	20	(	(	PUNCT
ejpam-3757	433	21	λy	λy	PROPN
ejpam-3757	433	22	y	y	PROPN
ejpam-3757	433	23	+	+	CCONJ
ejpam-3757	433	24	1	1	NUM
ejpam-3757	433	25	)	)	PUNCT
ejpam-3757	433	26	i+j	i+j	NUM
ejpam-3757	433	27	vrun−rf	vrun−rf	NOUN
ejpam-3757	433	28	(	(	PUNCT
ejpam-3757	433	29	m	m	NOUN
ejpam-3757	433	30	)	)	PUNCT
ejpam-3757	433	31	r	r	NOUN
ejpam-3757	433	32	,	,	PUNCT
ejpam-3757	433	33	k	k	PROPN
ejpam-3757	433	34	(	(	PUNCT
ejpam-3757	433	35	ux+	ux+	PROPN
ejpam-3757	433	36	(	(	PUNCT
ejpam-3757	433	37	i	i	NOUN
ejpam-3757	433	38	u	u	X
ejpam-3757	433	39	v	v	ADP
ejpam-3757	433	40	+	+	CCONJ
ejpam-3757	433	41	j	j	NOUN
ejpam-3757	433	42	)	)	PUNCT
ejpam-3757	433	43	logc(b	logc(b	PROPN
ejpam-3757	433	44	/	/	SYM
ejpam-3757	433	45	a	a	NOUN
ejpam-3757	433	46	)	)	PUNCT
ejpam-3757	433	47	,	,	PUNCT
ejpam-3757	433	48	y	y	PROPN
ejpam-3757	433	49	;	;	PUNCT
ejpam-3757	433	50	a	a	DET
ejpam-3757	433	51	,	,	PUNCT
ejpam-3757	433	52	b	b	NOUN
ejpam-3757	433	53	,	,	PUNCT
ejpam-3757	433	54	c;λ	c;λ	NUM
ejpam-3757	433	55	)	)	PUNCT
ejpam-3757	433	56	×	×	NOUN
ejpam-3757	433	57	f	f	X
ejpam-3757	433	58	(	(	PUNCT
ejpam-3757	433	59	m	m	NOUN
ejpam-3757	433	60	)	)	PUNCT
ejpam-3757	433	61	n−r	n−r	NOUN
ejpam-3757	433	62	,	,	PUNCT
ejpam-3757	433	63	k	k	PROPN
ejpam-3757	433	64	(	(	PUNCT
ejpam-3757	433	65	vz	vz	PROPN
ejpam-3757	433	66	,	,	PUNCT
ejpam-3757	433	67	y	y	PROPN
ejpam-3757	433	68	;	;	PUNCT
ejpam-3757	433	69	a	a	DET
ejpam-3757	433	70	,	,	PUNCT
ejpam-3757	433	71	b	b	NOUN
ejpam-3757	433	72	,	,	PUNCT
ejpam-3757	433	73	c;λ	c;λ	NUM
ejpam-3757	433	74	)	)	PUNCT
ejpam-3757	433	75	]	]	PUNCT
ejpam-3757	433	76	tn	tn	PROPN
ejpam-3757	433	77	n	n	X
ejpam-3757	433	78	!	!	PUNCT
ejpam-3757	433	79	.	.	PUNCT
ejpam-3757	434	1	(	(	PUNCT
ejpam-3757	434	2	17	17	X
ejpam-3757	434	3	)	)	PUNCT
ejpam-3757	434	4	combining	combine	VERB
ejpam-3757	434	5	(	(	PUNCT
ejpam-3757	434	6	16	16	NUM
ejpam-3757	434	7	)	)	PUNCT
ejpam-3757	434	8	and	and	CCONJ
ejpam-3757	434	9	(	(	PUNCT
ejpam-3757	434	10	17	17	NUM
ejpam-3757	434	11	)	)	PUNCT
ejpam-3757	434	12	gives	give	VERB
ejpam-3757	434	13	the	the	DET
ejpam-3757	434	14	desired	desire	VERB
ejpam-3757	434	15	identity	identity	NOUN
ejpam-3757	434	16	.	.	PUNCT
ejpam-3757	435	1	setting	set	VERB
ejpam-3757	435	2	y	y	PROPN
ejpam-3757	435	3	=	=	PUNCT
ejpam-3757	435	4	−1	−1	NOUN
ejpam-3757	435	5	2	2	NUM
ejpam-3757	435	6	and	and	CCONJ
ejpam-3757	435	7	k	k	NOUN
ejpam-3757	435	8	=	=	SYM
ejpam-3757	435	9	0	0	NUM
ejpam-3757	435	10	in	in	ADP
ejpam-3757	435	11	theorem	theorem	NOUN
ejpam-3757	435	12	7	7	NUM
ejpam-3757	435	13	,	,	PUNCT
ejpam-3757	435	14	we	we	PRON
ejpam-3757	435	15	obtain	obtain	VERB
ejpam-3757	435	16	the	the	DET
ejpam-3757	435	17	following	follow	VERB
ejpam-3757	435	18	corollary	corollary	NOUN
ejpam-3757	435	19	.	.	PUNCT
ejpam-3757	436	1	corollary	corollary	ADJ
ejpam-3757	436	2	18	18	NUM
ejpam-3757	436	3	.	.	PUNCT
ejpam-3757	437	1	for	for	ADP
ejpam-3757	437	2	u	u	PROPN
ejpam-3757	437	3	,	,	PUNCT
ejpam-3757	437	4	v	v	PROPN
ejpam-3757	437	5	,	,	PUNCT
ejpam-3757	437	6	m	m	VERB
ejpam-3757	437	7	∈	∈	ADJ
ejpam-3757	437	8	n	n	NOUN
ejpam-3757	437	9	and	and	CCONJ
ejpam-3757	437	10	n	n	PRON
ejpam-3757	437	11	∈	∈	PROPN
ejpam-3757	437	12	n0	n0	NOUN
ejpam-3757	437	13	,	,	PUNCT
ejpam-3757	437	14	we	we	PRON
ejpam-3757	437	15	have	have	VERB
ejpam-3757	438	1	n∑	n∑	ADV
ejpam-3757	438	2	r=0	r=0	PROPN
ejpam-3757	438	3	(	(	PUNCT
ejpam-3757	438	4	n	n	NOUN
ejpam-3757	438	5	r	r	NOUN
ejpam-3757	438	6	)	)	PUNCT
ejpam-3757	438	7	u−1∑	u−1∑	PROPN
ejpam-3757	439	1	i=0	i=0	PROPN
ejpam-3757	439	2	v−1∑	v−1∑	NUM
ejpam-3757	439	3	j=0	j=0	PROPN
ejpam-3757	439	4	(	(	PUNCT
ejpam-3757	439	5	−λ)i+j	−λ)i+j	NOUN
ejpam-3757	439	6	urvn−re(m	urvn−re(m	NUM
ejpam-3757	439	7	)	)	PUNCT
ejpam-3757	439	8	r	r	NOUN
ejpam-3757	439	9	(	(	PUNCT
ejpam-3757	439	10	vx+	vx+	PROPN
ejpam-3757	439	11	(	(	PUNCT
ejpam-3757	439	12	i	i	PRON
ejpam-3757	439	13	v	v	NOUN
ejpam-3757	439	14	u	u	NOUN
ejpam-3757	439	15	+	+	CCONJ
ejpam-3757	439	16	j	j	NOUN
ejpam-3757	439	17	)	)	PUNCT
ejpam-3757	439	18	logc(b	logc(b	PROPN
ejpam-3757	439	19	/	/	SYM
ejpam-3757	439	20	a	a	NOUN
ejpam-3757	439	21	)	)	PUNCT
ejpam-3757	439	22	;	;	PUNCT
ejpam-3757	439	23	a	a	DET
ejpam-3757	439	24	,	,	PUNCT
ejpam-3757	439	25	b	b	NOUN
ejpam-3757	439	26	,	,	PUNCT
ejpam-3757	439	27	c;λ	c;λ	NUM
ejpam-3757	439	28	)	)	PUNCT
ejpam-3757	439	29	e	e	NOUN
ejpam-3757	439	30	(	(	PUNCT
ejpam-3757	439	31	m	m	NOUN
ejpam-3757	439	32	)	)	PUNCT
ejpam-3757	439	33	n−r	n−r	NOUN
ejpam-3757	439	34	(	(	PUNCT
ejpam-3757	439	35	uz	uz	NOUN
ejpam-3757	439	36	;	;	PUNCT
ejpam-3757	439	37	a	a	DET
ejpam-3757	439	38	,	,	PUNCT
ejpam-3757	439	39	b	b	NOUN
ejpam-3757	439	40	,	,	PUNCT
ejpam-3757	439	41	c;λ	c;λ	NUM
ejpam-3757	439	42	)	)	PUNCT
ejpam-3757	439	43	=	=	SYM
ejpam-3757	440	1	n∑	n∑	NOUN
ejpam-3757	440	2	r=0	r=0	PROPN
ejpam-3757	440	3	(	(	PUNCT
ejpam-3757	440	4	n	n	NOUN
ejpam-3757	440	5	r	r	NOUN
ejpam-3757	440	6	)	)	PUNCT
ejpam-3757	440	7	v−1∑	v−1∑	NUM
ejpam-3757	441	1	i=0	i=0	PROPN
ejpam-3757	441	2	u−1∑	u−1∑	NUM
ejpam-3757	441	3	j=0	j=0	PROPN
ejpam-3757	441	4	(	(	PUNCT
ejpam-3757	441	5	−λ)i+j	−λ)i+j	PRON
ejpam-3757	441	6	vrun−re(m	vrun−re(m	ADJ
ejpam-3757	441	7	)	)	PUNCT
ejpam-3757	441	8	r	r	NOUN
ejpam-3757	441	9	(	(	PUNCT
ejpam-3757	441	10	ux+	ux+	ADJ
ejpam-3757	441	11	(	(	PUNCT
ejpam-3757	441	12	i	i	NOUN
ejpam-3757	441	13	u	u	X
ejpam-3757	441	14	v	v	ADP
ejpam-3757	441	15	+	+	CCONJ
ejpam-3757	441	16	j	j	NOUN
ejpam-3757	441	17	)	)	PUNCT
ejpam-3757	441	18	logc(b	logc(b	PROPN
ejpam-3757	441	19	/	/	SYM
ejpam-3757	441	20	a	a	NOUN
ejpam-3757	441	21	)	)	PUNCT
ejpam-3757	441	22	;	;	PUNCT
ejpam-3757	441	23	a	a	DET
ejpam-3757	441	24	,	,	PUNCT
ejpam-3757	441	25	b	b	NOUN
ejpam-3757	441	26	,	,	PUNCT
ejpam-3757	441	27	c;λ	c;λ	NUM
ejpam-3757	441	28	)	)	PUNCT
ejpam-3757	441	29	e	e	NOUN
ejpam-3757	441	30	(	(	PUNCT
ejpam-3757	441	31	m	m	NOUN
ejpam-3757	441	32	)	)	PUNCT
ejpam-3757	441	33	n−r	n−r	NOUN
ejpam-3757	441	34	(	(	PUNCT
ejpam-3757	441	35	vz	vz	NOUN
ejpam-3757	441	36	;	;	PUNCT
ejpam-3757	441	37	a	a	DET
ejpam-3757	441	38	,	,	PUNCT
ejpam-3757	441	39	b	b	NOUN
ejpam-3757	441	40	,	,	PUNCT
ejpam-3757	441	41	c;λ	c;λ	NUM
ejpam-3757	441	42	)	)	PUNCT
ejpam-3757	441	43	.	.	PUNCT
ejpam-3757	442	1	setting	set	VERB
ejpam-3757	442	2	y	y	PROPN
ejpam-3757	442	3	=	=	SYM
ejpam-3757	442	4	−2	−2	PROPN
ejpam-3757	442	5	,	,	PUNCT
ejpam-3757	442	6	k	k	NOUN
ejpam-3757	442	7	=	=	SYM
ejpam-3757	442	8	1	1	NUM
ejpam-3757	442	9	and	and	CCONJ
ejpam-3757	442	10	replacing	replace	VERB
ejpam-3757	442	11	λ	λ	PROPN
ejpam-3757	442	12	by	by	ADP
ejpam-3757	442	13	λ	λ	PROPN
ejpam-3757	442	14	2	2	NUM
ejpam-3757	442	15	in	in	ADP
ejpam-3757	442	16	theorem	theorem	NOUN
ejpam-3757	442	17	7	7	NUM
ejpam-3757	442	18	,	,	PUNCT
ejpam-3757	442	19	we	we	PRON
ejpam-3757	442	20	obtain	obtain	VERB
ejpam-3757	442	21	the	the	DET
ejpam-3757	442	22	following	follow	VERB
ejpam-3757	442	23	corollary	corollary	NOUN
ejpam-3757	442	24	.	.	PUNCT
ejpam-3757	443	1	n.	n.	PROPN
ejpam-3757	443	2	g.	g.	PROPN
ejpam-3757	443	3	acala	acala	PROPN
ejpam-3757	443	4	/	/	SYM
ejpam-3757	443	5	eur	eur	PROPN
ejpam-3757	443	6	.	.	PUNCT
ejpam-3757	444	1	j.	j.	PROPN
ejpam-3757	444	2	pure	pure	PROPN
ejpam-3757	444	3	appl	appl	PROPN
ejpam-3757	444	4	.	.	PROPN
ejpam-3757	444	5	math	math	PROPN
ejpam-3757	444	6	,	,	PUNCT
ejpam-3757	444	7	13	13	NUM
ejpam-3757	444	8	(	(	PUNCT
ejpam-3757	444	9	3	3	NUM
ejpam-3757	444	10	)	)	PUNCT
ejpam-3757	444	11	(	(	PUNCT
ejpam-3757	444	12	2020	2020	NUM
ejpam-3757	444	13	)	)	PUNCT
ejpam-3757	444	14	,	,	PUNCT
ejpam-3757	444	15	587	587	NUM
ejpam-3757	444	16	-	-	SYM
ejpam-3757	444	17	607	607	NUM
ejpam-3757	444	18	604	604	NUM
ejpam-3757	444	19	corollary	corollary	ADJ
ejpam-3757	444	20	19	19	NUM
ejpam-3757	444	21	.	.	PUNCT
ejpam-3757	445	1	for	for	ADP
ejpam-3757	445	2	u	u	PROPN
ejpam-3757	445	3	,	,	PUNCT
ejpam-3757	445	4	v	v	PROPN
ejpam-3757	445	5	,	,	PUNCT
ejpam-3757	445	6	m	m	VERB
ejpam-3757	445	7	∈	∈	ADJ
ejpam-3757	445	8	n	n	NOUN
ejpam-3757	445	9	and	and	CCONJ
ejpam-3757	445	10	n	n	PRON
ejpam-3757	445	11	∈	∈	PROPN
ejpam-3757	445	12	n0	n0	NOUN
ejpam-3757	445	13	,	,	PUNCT
ejpam-3757	445	14	we	we	PRON
ejpam-3757	445	15	have	have	VERB
ejpam-3757	446	1	n∑	n∑	ADV
ejpam-3757	446	2	r=0	r=0	PROPN
ejpam-3757	446	3	(	(	PUNCT
ejpam-3757	446	4	n	n	NOUN
ejpam-3757	446	5	r	r	NOUN
ejpam-3757	446	6	)	)	PUNCT
ejpam-3757	446	7	u−1∑	u−1∑	PROPN
ejpam-3757	446	8	i=0	i=0	PROPN
ejpam-3757	446	9	v−1∑	v−1∑	NUM
ejpam-3757	446	10	j=0	j=0	PROPN
ejpam-3757	446	11	(	(	PUNCT
ejpam-3757	446	12	λ)i+j	λ)i+j	ADV
ejpam-3757	446	13	urvn−rb(m	urvn−rb(m	ADJ
ejpam-3757	446	14	)	)	PUNCT
ejpam-3757	446	15	r	r	NOUN
ejpam-3757	446	16	(	(	PUNCT
ejpam-3757	446	17	vx+	vx+	PROPN
ejpam-3757	446	18	(	(	PUNCT
ejpam-3757	446	19	i	i	PRON
ejpam-3757	446	20	v	v	NOUN
ejpam-3757	446	21	u	u	NOUN
ejpam-3757	446	22	+	+	CCONJ
ejpam-3757	446	23	j	j	NOUN
ejpam-3757	446	24	)	)	PUNCT
ejpam-3757	446	25	logc(b	logc(b	PROPN
ejpam-3757	446	26	/	/	SYM
ejpam-3757	446	27	a	a	NOUN
ejpam-3757	446	28	)	)	PUNCT
ejpam-3757	446	29	;	;	PUNCT
ejpam-3757	446	30	a	a	DET
ejpam-3757	446	31	,	,	PUNCT
ejpam-3757	446	32	b	b	NOUN
ejpam-3757	446	33	,	,	PUNCT
ejpam-3757	446	34	c;λ	c;λ	NUM
ejpam-3757	446	35	)	)	PUNCT
ejpam-3757	446	36	b	b	PROPN
ejpam-3757	446	37	(	(	PUNCT
ejpam-3757	446	38	m	m	NOUN
ejpam-3757	446	39	)	)	PUNCT
ejpam-3757	446	40	n−r	n−r	NOUN
ejpam-3757	446	41	(	(	PUNCT
ejpam-3757	446	42	uz	uz	NOUN
ejpam-3757	446	43	;	;	PUNCT
ejpam-3757	446	44	a	a	DET
ejpam-3757	446	45	,	,	PUNCT
ejpam-3757	446	46	b	b	NOUN
ejpam-3757	446	47	,	,	PUNCT
ejpam-3757	446	48	c;λ	c;λ	NUM
ejpam-3757	446	49	)	)	PUNCT
ejpam-3757	447	1	=	=	SYM
ejpam-3757	447	2	n∑	n∑	NOUN
ejpam-3757	448	1	r=0	r=0	PROPN
ejpam-3757	449	1	(	(	PUNCT
ejpam-3757	449	2	n	n	NOUN
ejpam-3757	449	3	r	r	NOUN
ejpam-3757	449	4	)	)	PUNCT
ejpam-3757	449	5	v−1∑	v−1∑	NUM
ejpam-3757	450	1	i=0	i=0	PROPN
ejpam-3757	450	2	u−1∑	u−1∑	NUM
ejpam-3757	450	3	j=0	j=0	PROPN
ejpam-3757	450	4	(	(	PUNCT
ejpam-3757	450	5	λ)i+j	λ)i+j	ADV
ejpam-3757	450	6	vrun−rb(m	vrun−rb(m	ADJ
ejpam-3757	450	7	)	)	PUNCT
ejpam-3757	450	8	r	r	NOUN
ejpam-3757	450	9	(	(	PUNCT
ejpam-3757	450	10	ux+	ux+	ADJ
ejpam-3757	450	11	(	(	PUNCT
ejpam-3757	450	12	i	i	NOUN
ejpam-3757	450	13	u	u	X
ejpam-3757	450	14	v	v	ADP
ejpam-3757	450	15	+	+	CCONJ
ejpam-3757	450	16	j	j	NOUN
ejpam-3757	450	17	)	)	PUNCT
ejpam-3757	450	18	logc(b	logc(b	PROPN
ejpam-3757	450	19	/	/	SYM
ejpam-3757	450	20	a	a	NOUN
ejpam-3757	450	21	)	)	PUNCT
ejpam-3757	450	22	;	;	PUNCT
ejpam-3757	450	23	a	a	DET
ejpam-3757	450	24	,	,	PUNCT
ejpam-3757	450	25	b	b	NOUN
ejpam-3757	450	26	,	,	PUNCT
ejpam-3757	450	27	c;λ	c;λ	NUM
ejpam-3757	450	28	)	)	PUNCT
ejpam-3757	450	29	b	b	PROPN
ejpam-3757	450	30	(	(	PUNCT
ejpam-3757	450	31	m	m	NOUN
ejpam-3757	450	32	)	)	PUNCT
ejpam-3757	450	33	n−r	n−r	NOUN
ejpam-3757	450	34	(	(	PUNCT
ejpam-3757	450	35	vz	vz	NOUN
ejpam-3757	450	36	;	;	PUNCT
ejpam-3757	450	37	a	a	DET
ejpam-3757	450	38	,	,	PUNCT
ejpam-3757	450	39	b	b	NOUN
ejpam-3757	450	40	,	,	PUNCT
ejpam-3757	450	41	c;λ	c;λ	NUM
ejpam-3757	450	42	)	)	PUNCT
ejpam-3757	450	43	.	.	PUNCT
ejpam-3757	451	1	setting	set	VERB
ejpam-3757	451	2	y	y	PROPN
ejpam-3757	451	3	=	=	PUNCT
ejpam-3757	451	4	−1	−1	NOUN
ejpam-3757	451	5	2	2	NUM
ejpam-3757	451	6	and	and	CCONJ
ejpam-3757	451	7	k	k	NOUN
ejpam-3757	451	8	=	=	SYM
ejpam-3757	451	9	1	1	NUM
ejpam-3757	451	10	in	in	ADP
ejpam-3757	451	11	theorem	theorem	NOUN
ejpam-3757	451	12	7	7	NUM
ejpam-3757	451	13	,	,	PUNCT
ejpam-3757	451	14	we	we	PRON
ejpam-3757	451	15	obtain	obtain	VERB
ejpam-3757	451	16	the	the	DET
ejpam-3757	451	17	following	follow	VERB
ejpam-3757	451	18	corollary	corollary	NOUN
ejpam-3757	451	19	.	.	PUNCT
ejpam-3757	452	1	corollary	corollary	ADJ
ejpam-3757	452	2	20	20	NUM
ejpam-3757	452	3	.	.	PUNCT
ejpam-3757	453	1	for	for	ADP
ejpam-3757	453	2	u	u	PROPN
ejpam-3757	453	3	,	,	PUNCT
ejpam-3757	453	4	v	v	PROPN
ejpam-3757	453	5	,	,	PUNCT
ejpam-3757	453	6	m	m	VERB
ejpam-3757	453	7	∈	∈	ADJ
ejpam-3757	453	8	n	n	NOUN
ejpam-3757	453	9	and	and	CCONJ
ejpam-3757	453	10	n	n	PRON
ejpam-3757	453	11	∈	∈	PROPN
ejpam-3757	453	12	n0	n0	NOUN
ejpam-3757	453	13	,	,	PUNCT
ejpam-3757	453	14	we	we	PRON
ejpam-3757	453	15	have	have	VERB
ejpam-3757	454	1	n∑	n∑	ADV
ejpam-3757	454	2	r=0	r=0	PROPN
ejpam-3757	454	3	(	(	PUNCT
ejpam-3757	454	4	n	n	NOUN
ejpam-3757	454	5	r	r	NOUN
ejpam-3757	454	6	)	)	PUNCT
ejpam-3757	454	7	u−1∑	u−1∑	PROPN
ejpam-3757	454	8	i=0	i=0	PROPN
ejpam-3757	454	9	v−1∑	v−1∑	NUM
ejpam-3757	454	10	j=0	j=0	PROPN
ejpam-3757	454	11	(	(	PUNCT
ejpam-3757	454	12	−λ)i+j	−λ)i+j	NOUN
ejpam-3757	454	13	urvn−rg(m	urvn−rg(m	ADJ
ejpam-3757	454	14	)	)	PUNCT
ejpam-3757	454	15	r	r	NOUN
ejpam-3757	454	16	(	(	PUNCT
ejpam-3757	454	17	vx+	vx+	PROPN
ejpam-3757	454	18	(	(	PUNCT
ejpam-3757	454	19	i	i	PRON
ejpam-3757	454	20	v	v	NOUN
ejpam-3757	454	21	u	u	NOUN
ejpam-3757	454	22	+	+	CCONJ
ejpam-3757	454	23	j	j	NOUN
ejpam-3757	454	24	)	)	PUNCT
ejpam-3757	454	25	logc(b	logc(b	PROPN
ejpam-3757	454	26	/	/	SYM
ejpam-3757	454	27	a	a	NOUN
ejpam-3757	454	28	)	)	PUNCT
ejpam-3757	454	29	;	;	PUNCT
ejpam-3757	454	30	a	a	DET
ejpam-3757	454	31	,	,	PUNCT
ejpam-3757	454	32	b	b	NOUN
ejpam-3757	454	33	,	,	PUNCT
ejpam-3757	454	34	c;λ	c;λ	NUM
ejpam-3757	454	35	)	)	PUNCT
ejpam-3757	454	36	g	g	PROPN
ejpam-3757	454	37	(	(	PUNCT
ejpam-3757	454	38	m	m	NOUN
ejpam-3757	454	39	)	)	PUNCT
ejpam-3757	454	40	n−r	n−r	NOUN
ejpam-3757	454	41	(	(	PUNCT
ejpam-3757	454	42	uz	uz	NOUN
ejpam-3757	454	43	;	;	PUNCT
ejpam-3757	454	44	a	a	DET
ejpam-3757	454	45	,	,	PUNCT
ejpam-3757	454	46	b	b	NOUN
ejpam-3757	454	47	,	,	PUNCT
ejpam-3757	454	48	c;λ	c;λ	NUM
ejpam-3757	454	49	)	)	PUNCT
ejpam-3757	455	1	=	=	SYM
ejpam-3757	455	2	n∑	n∑	NOUN
ejpam-3757	456	1	r=0	r=0	PROPN
ejpam-3757	457	1	(	(	PUNCT
ejpam-3757	457	2	n	n	NOUN
ejpam-3757	457	3	r	r	NOUN
ejpam-3757	457	4	)	)	PUNCT
ejpam-3757	457	5	v−1∑	v−1∑	NUM
ejpam-3757	457	6	i=0	i=0	PROPN
ejpam-3757	457	7	u−1∑	u−1∑	NUM
ejpam-3757	457	8	j=0	j=0	PROPN
ejpam-3757	457	9	(	(	PUNCT
ejpam-3757	457	10	−λ)i+j	−λ)i+j	PRON
ejpam-3757	457	11	vrun−rg(m	vrun−rg(m	ADJ
ejpam-3757	457	12	)	)	PUNCT
ejpam-3757	458	1	r	r	NOUN
ejpam-3757	458	2	(	(	PUNCT
ejpam-3757	458	3	ux+	ux+	ADJ
ejpam-3757	458	4	(	(	PUNCT
ejpam-3757	458	5	i	i	NOUN
ejpam-3757	458	6	u	u	X
ejpam-3757	458	7	v	v	ADP
ejpam-3757	458	8	+	+	CCONJ
ejpam-3757	458	9	j	j	NOUN
ejpam-3757	458	10	)	)	PUNCT
ejpam-3757	458	11	logc(b	logc(b	PROPN
ejpam-3757	458	12	/	/	SYM
ejpam-3757	458	13	a	a	NOUN
ejpam-3757	458	14	)	)	PUNCT
ejpam-3757	458	15	;	;	PUNCT
ejpam-3757	458	16	a	a	DET
ejpam-3757	458	17	,	,	PUNCT
ejpam-3757	458	18	b	b	NOUN
ejpam-3757	458	19	,	,	PUNCT
ejpam-3757	458	20	c;λ	c;λ	NUM
ejpam-3757	458	21	)	)	PUNCT
ejpam-3757	458	22	g	g	PROPN
ejpam-3757	458	23	(	(	PUNCT
ejpam-3757	458	24	m	m	NOUN
ejpam-3757	458	25	)	)	PUNCT
ejpam-3757	458	26	n−r	n−r	NOUN
ejpam-3757	458	27	(	(	PUNCT
ejpam-3757	458	28	vz	vz	NOUN
ejpam-3757	458	29	;	;	PUNCT
ejpam-3757	458	30	a	a	DET
ejpam-3757	458	31	,	,	PUNCT
ejpam-3757	458	32	b	b	NOUN
ejpam-3757	458	33	,	,	PUNCT
ejpam-3757	458	34	c;λ	c;λ	NUM
ejpam-3757	458	35	)	)	PUNCT
ejpam-3757	458	36	.	.	PUNCT
ejpam-3757	459	1	setting	set	VERB
ejpam-3757	459	2	a	a	DET
ejpam-3757	459	3	=	=	SYM
ejpam-3757	459	4	1	1	NUM
ejpam-3757	459	5	and	and	CCONJ
ejpam-3757	459	6	b	b	X
ejpam-3757	459	7	=	=	SYM
ejpam-3757	459	8	c	c	NOUN
ejpam-3757	459	9	=	=	SYM
ejpam-3757	459	10	e	e	PROPN
ejpam-3757	459	11	in	in	ADP
ejpam-3757	459	12	theorem	theorem	NOUN
ejpam-3757	459	13	7	7	NUM
ejpam-3757	459	14	,	,	PUNCT
ejpam-3757	459	15	we	we	PRON
ejpam-3757	459	16	obtain	obtain	VERB
ejpam-3757	459	17	another	another	DET
ejpam-3757	459	18	symmetry	symmetry	NOUN
ejpam-3757	459	19	identity	identity	NOUN
ejpam-3757	459	20	for	for	ADP
ejpam-3757	459	21	the	the	DET
ejpam-3757	459	22	polynomials	polynomial	NOUN
ejpam-3757	459	23	f	f	X
ejpam-3757	459	24	(	(	PUNCT
ejpam-3757	459	25	α	α	NOUN
ejpam-3757	459	26	)	)	PUNCT
ejpam-3757	459	27	n	n	CCONJ
ejpam-3757	459	28	,	,	PUNCT
ejpam-3757	459	29	k	k	PROPN
ejpam-3757	459	30	(	(	PUNCT
ejpam-3757	459	31	x	x	NOUN
ejpam-3757	459	32	,	,	PUNCT
ejpam-3757	459	33	y;λ	y;λ	PROPN
ejpam-3757	459	34	)	)	PUNCT
ejpam-3757	459	35	.	.	PUNCT
ejpam-3757	460	1	corollary	corollary	ADJ
ejpam-3757	460	2	21	21	NUM
ejpam-3757	460	3	.	.	PUNCT
ejpam-3757	461	1	for	for	ADP
ejpam-3757	461	2	u	u	PROPN
ejpam-3757	461	3	,	,	PUNCT
ejpam-3757	461	4	v	v	PROPN
ejpam-3757	461	5	,	,	PUNCT
ejpam-3757	461	6	m	m	NOUN
ejpam-3757	461	7	∈	∈	PROPN
ejpam-3757	461	8	n	n	CCONJ
ejpam-3757	461	9	,	,	PUNCT
ejpam-3757	461	10	n	n	PROPN
ejpam-3757	461	11	∈	∈	PROPN
ejpam-3757	461	12	n0	n0	NOUN
ejpam-3757	461	13	and	and	CCONJ
ejpam-3757	461	14	y	y	PROPN
ejpam-3757	461	15	6=	6=	PROPN
ejpam-3757	461	16	−1	−1	PROPN
ejpam-3757	461	17	,	,	PUNCT
ejpam-3757	461	18	we	we	PRON
ejpam-3757	461	19	have	have	VERB
ejpam-3757	461	20	n∑	n∑	ADV
ejpam-3757	462	1	r=0	r=0	PROPN
ejpam-3757	462	2	(	(	PUNCT
ejpam-3757	462	3	n	n	NOUN
ejpam-3757	462	4	r	r	NOUN
ejpam-3757	462	5	)	)	PUNCT
ejpam-3757	462	6	u−1∑	u−1∑	PROPN
ejpam-3757	462	7	i=0	i=0	PROPN
ejpam-3757	462	8	v−1∑	v−1∑	NUM
ejpam-3757	462	9	j=0	j=0	PROPN
ejpam-3757	462	10	(	(	PUNCT
ejpam-3757	462	11	λy	λy	PROPN
ejpam-3757	462	12	y	y	PROPN
ejpam-3757	462	13	+	+	CCONJ
ejpam-3757	462	14	1	1	NUM
ejpam-3757	462	15	)	)	PUNCT
ejpam-3757	462	16	i+j	i+j	NUM
ejpam-3757	462	17	urvn−rf	urvn−rf	X
ejpam-3757	462	18	(	(	PUNCT
ejpam-3757	462	19	m	m	NOUN
ejpam-3757	462	20	)	)	PUNCT
ejpam-3757	462	21	r	r	NOUN
ejpam-3757	462	22	,	,	PUNCT
ejpam-3757	462	23	k	k	PROPN
ejpam-3757	462	24	(	(	PUNCT
ejpam-3757	462	25	vx+	vx+	INTJ
ejpam-3757	462	26	i	i	PRON
ejpam-3757	462	27	v	v	NOUN
ejpam-3757	462	28	u	u	NOUN
ejpam-3757	462	29	+	+	CCONJ
ejpam-3757	462	30	j	j	PROPN
ejpam-3757	462	31	,	,	PUNCT
ejpam-3757	462	32	y;λ	y;λ	PROPN
ejpam-3757	462	33	)	)	PUNCT
ejpam-3757	462	34	f	f	PROPN
ejpam-3757	462	35	(	(	PUNCT
ejpam-3757	462	36	m	m	NOUN
ejpam-3757	462	37	)	)	PUNCT
ejpam-3757	462	38	n−r	n−r	NOUN
ejpam-3757	462	39	,	,	PUNCT
ejpam-3757	462	40	k	k	PROPN
ejpam-3757	462	41	(	(	PUNCT
ejpam-3757	462	42	uz	uz	PROPN
ejpam-3757	462	43	,	,	PUNCT
ejpam-3757	462	44	y;λ	y;λ	PROPN
ejpam-3757	462	45	)	)	PUNCT
ejpam-3757	462	46	=	=	SYM
ejpam-3757	463	1	n∑	n∑	NOUN
ejpam-3757	463	2	r=0	r=0	PROPN
ejpam-3757	463	3	(	(	PUNCT
ejpam-3757	463	4	n	n	NOUN
ejpam-3757	463	5	r	r	NOUN
ejpam-3757	463	6	)	)	PUNCT
ejpam-3757	463	7	v−1∑	v−1∑	NUM
ejpam-3757	464	1	i=0	i=0	PROPN
ejpam-3757	464	2	u−1∑	u−1∑	NUM
ejpam-3757	464	3	j=0	j=0	PROPN
ejpam-3757	464	4	(	(	PUNCT
ejpam-3757	464	5	λy	λy	PROPN
ejpam-3757	464	6	y	y	PROPN
ejpam-3757	464	7	+	+	CCONJ
ejpam-3757	464	8	1	1	NUM
ejpam-3757	464	9	)	)	PUNCT
ejpam-3757	464	10	i+j	i+j	NUM
ejpam-3757	464	11	vrun−rf	vrun−rf	NOUN
ejpam-3757	464	12	(	(	PUNCT
ejpam-3757	464	13	m	m	NOUN
ejpam-3757	464	14	)	)	PUNCT
ejpam-3757	464	15	r	r	NOUN
ejpam-3757	464	16	,	,	PUNCT
ejpam-3757	464	17	k	k	PROPN
ejpam-3757	464	18	(	(	PUNCT
ejpam-3757	464	19	ux+	ux+	PROPN
ejpam-3757	464	20	i	i	PROPN
ejpam-3757	464	21	u	u	NOUN
ejpam-3757	464	22	v	v	ADP
ejpam-3757	464	23	+	+	CCONJ
ejpam-3757	464	24	j	j	PROPN
ejpam-3757	464	25	,	,	PUNCT
ejpam-3757	464	26	y;λ	y;λ	PROPN
ejpam-3757	464	27	)	)	PUNCT
ejpam-3757	464	28	f	f	PROPN
ejpam-3757	464	29	(	(	PUNCT
ejpam-3757	464	30	m	m	NOUN
ejpam-3757	464	31	)	)	PUNCT
ejpam-3757	464	32	n−r	n−r	NOUN
ejpam-3757	464	33	,	,	PUNCT
ejpam-3757	464	34	k	k	PROPN
ejpam-3757	464	35	(	(	PUNCT
ejpam-3757	464	36	vz	vz	PROPN
ejpam-3757	464	37	,	,	PUNCT
ejpam-3757	464	38	y;λ	y;λ	PROPN
ejpam-3757	464	39	)	)	PUNCT
ejpam-3757	464	40	.	.	PUNCT
ejpam-3757	465	1	taking	take	VERB
ejpam-3757	465	2	y	y	NOUN
ejpam-3757	465	3	=	=	PUNCT
ejpam-3757	465	4	−(2k−1ab+1	−(2k−1ab+1	NOUN
ejpam-3757	465	5	)	)	PUNCT
ejpam-3757	465	6	and	and	CCONJ
ejpam-3757	465	7	λ	λ	X
ejpam-3757	465	8	=	=	SYM
ejpam-3757	465	9	2k−1βb	2k−1βb	NUM
ejpam-3757	465	10	2k−1	2k−1	NUM
ejpam-3757	465	11	+	+	CCONJ
ejpam-3757	465	12	1	1	NUM
ejpam-3757	465	13	in	in	ADP
ejpam-3757	465	14	corollary	corollary	ADJ
ejpam-3757	465	15	21	21	NUM
ejpam-3757	465	16	,	,	PUNCT
ejpam-3757	465	17	we	we	PRON
ejpam-3757	465	18	get	get	AUX
ejpam-3757	465	19	theorem	theorem	VERB
ejpam-3757	465	20	3.9	3.9	NUM
ejpam-3757	465	21	of	of	ADP
ejpam-3757	465	22	[	[	X
ejpam-3757	465	23	25	25	NUM
ejpam-3757	465	24	]	]	PUNCT
ejpam-3757	465	25	.	.	PUNCT
ejpam-3757	466	1	corollary	corollary	ADJ
ejpam-3757	466	2	22	22	NUM
ejpam-3757	466	3	.	.	PUNCT
ejpam-3757	467	1	for	for	ADP
ejpam-3757	467	2	a	a	DET
ejpam-3757	467	3	,	,	PUNCT
ejpam-3757	467	4	b	b	X
ejpam-3757	467	5	>	>	X
ejpam-3757	467	6	0;β	0;β	NUM
ejpam-3757	467	7	∈	∈	PROPN
ejpam-3757	467	8	c	c	X
ejpam-3757	467	9	;	;	PUNCT
ejpam-3757	467	10	u	u	NOUN
ejpam-3757	467	11	,	,	PUNCT
ejpam-3757	467	12	v	v	NOUN
ejpam-3757	467	13	,	,	PUNCT
ejpam-3757	467	14	m	m	VERB
ejpam-3757	467	15	∈	∈	ADJ
ejpam-3757	467	16	n	n	NOUN
ejpam-3757	467	17	and	and	CCONJ
ejpam-3757	467	18	n	n	PRON
ejpam-3757	467	19	∈	∈	PROPN
ejpam-3757	467	20	n0	n0	NOUN
ejpam-3757	467	21	,	,	PUNCT
ejpam-3757	467	22	we	we	PRON
ejpam-3757	467	23	have	have	VERB
ejpam-3757	468	1	n∑	n∑	ADV
ejpam-3757	469	1	r=0	r=0	PROPN
ejpam-3757	469	2	(	(	PUNCT
ejpam-3757	469	3	n	n	NOUN
ejpam-3757	469	4	r	r	NOUN
ejpam-3757	469	5	)	)	PUNCT
ejpam-3757	469	6	u−1∑	u−1∑	PROPN
ejpam-3757	469	7	i=0	i=0	PROPN
ejpam-3757	469	8	v−1∑	v−1∑	NUM
ejpam-3757	469	9	j=0	j=0	PROPN
ejpam-3757	469	10	(	(	PUNCT
ejpam-3757	469	11	β	β	X
ejpam-3757	469	12	a	a	X
ejpam-3757	469	13	)	)	PUNCT
ejpam-3757	469	14	b(i+j	b(i+j	NOUN
ejpam-3757	469	15	)	)	PUNCT
ejpam-3757	469	16	urvn−rp	urvn−rp	PROPN
ejpam-3757	469	17	(	(	PUNCT
ejpam-3757	469	18	m	m	NOUN
ejpam-3757	469	19	)	)	PUNCT
ejpam-3757	469	20	r	r	NOUN
ejpam-3757	469	21	,	,	PUNCT
ejpam-3757	469	22	β	β	X
ejpam-3757	469	23	(	(	PUNCT
ejpam-3757	469	24	vx+	vx+	INTJ
ejpam-3757	470	1	i	i	PRON
ejpam-3757	470	2	v	v	NOUN
ejpam-3757	470	3	u	u	NOUN
ejpam-3757	470	4	+	+	CCONJ
ejpam-3757	470	5	j	j	PROPN
ejpam-3757	470	6	;	;	PUNCT
ejpam-3757	470	7	k	k	NOUN
ejpam-3757	470	8	,	,	PUNCT
ejpam-3757	470	9	a	a	PRON
ejpam-3757	470	10	,	,	PUNCT
ejpam-3757	470	11	b	b	NOUN
ejpam-3757	470	12	)	)	PUNCT
ejpam-3757	470	13	p	p	NOUN
ejpam-3757	470	14	(	(	PUNCT
ejpam-3757	470	15	m	m	NOUN
ejpam-3757	470	16	)	)	PUNCT
ejpam-3757	470	17	n−r	n−r	NOUN
ejpam-3757	470	18	,	,	PUNCT
ejpam-3757	470	19	β	β	X
ejpam-3757	470	20	(	(	PUNCT
ejpam-3757	470	21	uz	uz	PROPN
ejpam-3757	470	22	;	;	PUNCT
ejpam-3757	470	23	k	k	X
ejpam-3757	470	24	,	,	PUNCT
ejpam-3757	470	25	a	a	DET
ejpam-3757	470	26	,	,	PUNCT
ejpam-3757	470	27	b	b	NOUN
ejpam-3757	470	28	)	)	PUNCT
ejpam-3757	470	29	=	=	SYM
ejpam-3757	471	1	n∑	n∑	NOUN
ejpam-3757	471	2	r=0	r=0	PROPN
ejpam-3757	471	3	(	(	PUNCT
ejpam-3757	471	4	n	n	NOUN
ejpam-3757	471	5	r	r	NOUN
ejpam-3757	471	6	)	)	PUNCT
ejpam-3757	471	7	v−1∑	v−1∑	NUM
ejpam-3757	472	1	i=0	i=0	PROPN
ejpam-3757	472	2	u−1∑	u−1∑	NUM
ejpam-3757	472	3	j=0	j=0	PROPN
ejpam-3757	472	4	(	(	PUNCT
ejpam-3757	472	5	β	β	X
ejpam-3757	472	6	a	a	X
ejpam-3757	472	7	)	)	PUNCT
ejpam-3757	472	8	b(i+j	b(i+j	NOUN
ejpam-3757	472	9	)	)	PUNCT
ejpam-3757	472	10	vrun−rp	vrun−rp	NOUN
ejpam-3757	472	11	(	(	PUNCT
ejpam-3757	472	12	m	m	NOUN
ejpam-3757	472	13	)	)	PUNCT
ejpam-3757	472	14	r	r	NOUN
ejpam-3757	472	15	,	,	PUNCT
ejpam-3757	472	16	β	β	X
ejpam-3757	472	17	(	(	PUNCT
ejpam-3757	472	18	ux+	ux+	PROPN
ejpam-3757	472	19	i	i	PROPN
ejpam-3757	472	20	u	u	NOUN
ejpam-3757	472	21	v	v	ADP
ejpam-3757	472	22	+	+	CCONJ
ejpam-3757	472	23	j	j	NOUN
ejpam-3757	472	24	;	;	PUNCT
ejpam-3757	472	25	k	k	NOUN
ejpam-3757	472	26	,	,	PUNCT
ejpam-3757	472	27	a	a	PRON
ejpam-3757	472	28	,	,	PUNCT
ejpam-3757	472	29	b	b	NOUN
ejpam-3757	472	30	)	)	PUNCT
ejpam-3757	472	31	p	p	NOUN
ejpam-3757	472	32	(	(	PUNCT
ejpam-3757	472	33	m	m	NOUN
ejpam-3757	472	34	)	)	PUNCT
ejpam-3757	472	35	n−r	n−r	NOUN
ejpam-3757	472	36	,	,	PUNCT
ejpam-3757	472	37	k	k	PROPN
ejpam-3757	472	38	(	(	PUNCT
ejpam-3757	472	39	vz	vz	PROPN
ejpam-3757	472	40	;	;	PUNCT
ejpam-3757	472	41	k	k	X
ejpam-3757	472	42	,	,	PUNCT
ejpam-3757	472	43	a	a	DET
ejpam-3757	472	44	,	,	PUNCT
ejpam-3757	472	45	b	b	NOUN
ejpam-3757	472	46	)	)	PUNCT
ejpam-3757	472	47	.	.	PUNCT
ejpam-3757	473	1	acknowledgements	acknowledgement	VERB
ejpam-3757	473	2	the	the	DET
ejpam-3757	473	3	author	author	NOUN
ejpam-3757	473	4	greatly	greatly	ADV
ejpam-3757	473	5	appreciates	appreciate	VERB
ejpam-3757	473	6	the	the	DET
ejpam-3757	473	7	anonymous	anonymous	ADJ
ejpam-3757	473	8	reviewers	reviewer	NOUN
ejpam-3757	473	9	for	for	ADP
ejpam-3757	473	10	their	their	PRON
ejpam-3757	473	11	valuable	valuable	ADJ
ejpam-3757	473	12	comments	comment	NOUN
ejpam-3757	473	13	and	and	CCONJ
ejpam-3757	473	14	suggestions	suggestion	NOUN
ejpam-3757	473	15	for	for	ADP
ejpam-3757	473	16	this	this	DET
ejpam-3757	473	17	paper	paper	NOUN
ejpam-3757	473	18	.	.	PUNCT
ejpam-3757	474	1	references	reference	NOUN
ejpam-3757	474	2	605	605	NUM
ejpam-3757	474	3	references	reference	NOUN
ejpam-3757	474	4	[	[	X
ejpam-3757	474	5	1	1	NUM
ejpam-3757	474	6	]	]	PUNCT
ejpam-3757	474	7	s.	s.	PROPN
ejpam-3757	474	8	araci	araci	PROPN
ejpam-3757	474	9	,	,	PUNCT
ejpam-3757	474	10	w.a	w.a	PROPN
ejpam-3757	474	11	.	.	PROPN
ejpam-3757	474	12	khan	khan	PROPN
ejpam-3757	474	13	,	,	PUNCT
ejpam-3757	474	14	m.	m.	NOUN
ejpam-3757	474	15	acikgoz	acikgoz	PROPN
ejpam-3757	474	16	,	,	PUNCT
ejpam-3757	474	17	c.	c.	PROPN
ejpam-3757	474	18	ozel	ozel	PROPN
ejpam-3757	474	19	,	,	PUNCT
ejpam-3757	474	20	and	and	CCONJ
ejpam-3757	474	21	p.	p.	PROPN
ejpam-3757	474	22	kumam	kumam	PROPN
ejpam-3757	474	23	.	.	PUNCT
ejpam-3757	475	1	a	a	DET
ejpam-3757	475	2	new	new	ADJ
ejpam-3757	475	3	generalization	generalization	NOUN
ejpam-3757	475	4	of	of	ADP
ejpam-3757	475	5	apostol	apostol	NOUN
ejpam-3757	475	6	-	-	PUNCT
ejpam-3757	475	7	type	type	NOUN
ejpam-3757	475	8	hermite	hermite	PROPN
ejpam-3757	475	9	-	-	PUNCT
ejpam-3757	475	10	genocchi	genocchi	PROPN
ejpam-3757	475	11	polynomials	polynomial	NOUN
ejpam-3757	475	12	and	and	CCONJ
ejpam-3757	475	13	its	its	PRON
ejpam-3757	475	14	application	application	NOUN
ejpam-3757	475	15	.	.	PUNCT
ejpam-3757	476	1	springerplus	springerplus	PROPN
ejpam-3757	476	2	,	,	PUNCT
ejpam-3757	476	3	5(860):17	5(860):17	NUM
ejpam-3757	476	4	pages	page	NOUN
ejpam-3757	476	5	,	,	PUNCT
ejpam-3757	476	6	2016	2016	NUM
ejpam-3757	476	7	.	.	PUNCT
ejpam-3757	477	1	[	[	X
ejpam-3757	477	2	2	2	NUM
ejpam-3757	477	3	]	]	X
ejpam-3757	477	4	k.n	k.n	PROPN
ejpam-3757	477	5	.	.	PROPN
ejpam-3757	477	6	boyadzhiev	boyadzhiev	PROPN
ejpam-3757	477	7	.	.	PUNCT
ejpam-3757	478	1	a	a	DET
ejpam-3757	478	2	series	series	NOUN
ejpam-3757	478	3	transformation	transformation	NOUN
ejpam-3757	478	4	formula	formula	NOUN
ejpam-3757	478	5	and	and	CCONJ
ejpam-3757	478	6	related	related	ADJ
ejpam-3757	478	7	polynomials	polynomial	NOUN
ejpam-3757	478	8	.	.	PUNCT
ejpam-3757	479	1	int	int	NOUN
ejpam-3757	479	2	.	.	PUNCT
ejpam-3757	480	1	j.	j.	PROPN
ejpam-3757	480	2	math	math	PROPN
ejpam-3757	480	3	.	.	PUNCT
ejpam-3757	481	1	sci	sci	PROPN
ejpam-3757	481	2	.	.	PROPN
ejpam-3757	481	3	,	,	PUNCT
ejpam-3757	481	4	23:3849–3866	23:3849–3866	PROPN
ejpam-3757	481	5	,	,	PUNCT
ejpam-3757	481	6	2005	2005	NUM
ejpam-3757	481	7	.	.	PUNCT
ejpam-3757	482	1	[	[	X
ejpam-3757	482	2	3	3	NUM
ejpam-3757	482	3	]	]	PUNCT
ejpam-3757	482	4	r.	r.	PROPN
ejpam-3757	482	5	dere	dere	PROPN
ejpam-3757	482	6	and	and	CCONJ
ejpam-3757	482	7	y.	y.	PROPN
ejpam-3757	482	8	simsek	simsek	PROPN
ejpam-3757	482	9	.	.	PUNCT
ejpam-3757	483	1	hermite	hermite	PROPN
ejpam-3757	483	2	base	base	VERB
ejpam-3757	483	3	bernoulli	bernoulli	PROPN
ejpam-3757	483	4	type	type	NOUN
ejpam-3757	483	5	polynomials	polynomial	NOUN
ejpam-3757	483	6	on	on	ADP
ejpam-3757	483	7	the	the	DET
ejpam-3757	483	8	umbral	umbral	ADJ
ejpam-3757	483	9	algebra	algebra	NOUN
ejpam-3757	483	10	.	.	PUNCT
ejpam-3757	484	1	russian	russian	ADJ
ejpam-3757	484	2	journal	journal	PROPN
ejpam-3757	484	3	of	of	ADP
ejpam-3757	484	4	mathematical	mathematical	ADJ
ejpam-3757	484	5	physics	physics	PROPN
ejpam-3757	484	6	,	,	PUNCT
ejpam-3757	484	7	22(1):1–5	22(1):1–5	NUM
ejpam-3757	484	8	,	,	PUNCT
ejpam-3757	484	9	2015	2015	NUM
ejpam-3757	484	10	.	.	PUNCT
ejpam-3757	485	1	[	[	X
ejpam-3757	485	2	4	4	NUM
ejpam-3757	485	3	]	]	PUNCT
ejpam-3757	485	4	r.	r.	PROPN
ejpam-3757	485	5	dere	dere	PROPN
ejpam-3757	485	6	,	,	PUNCT
ejpam-3757	485	7	y.	y.	PROPN
ejpam-3757	485	8	simsek	simsek	PROPN
ejpam-3757	485	9	,	,	PUNCT
ejpam-3757	485	10	and	and	CCONJ
ejpam-3757	485	11	h.m	h.m	PROPN
ejpam-3757	485	12	.	.	PROPN
ejpam-3757	485	13	srivastava	srivastava	PROPN
ejpam-3757	485	14	.	.	PUNCT
ejpam-3757	486	1	a	a	DET
ejpam-3757	486	2	unified	unified	ADJ
ejpam-3757	486	3	presentation	presentation	NOUN
ejpam-3757	486	4	of	of	ADP
ejpam-3757	486	5	three	three	NUM
ejpam-3757	486	6	families	family	NOUN
ejpam-3757	486	7	of	of	ADP
ejpam-3757	486	8	generalized	generalized	ADJ
ejpam-3757	486	9	apostol	apostol	NOUN
ejpam-3757	486	10	type	type	NOUN
ejpam-3757	486	11	polynomials	polynomial	NOUN
ejpam-3757	486	12	based	base	VERB
ejpam-3757	486	13	upon	upon	SCONJ
ejpam-3757	486	14	the	the	DET
ejpam-3757	486	15	theory	theory	NOUN
ejpam-3757	486	16	of	of	ADP
ejpam-3757	486	17	the	the	DET
ejpam-3757	486	18	umbral	umbral	ADJ
ejpam-3757	486	19	calculus	calculus	NOUN
ejpam-3757	486	20	and	and	CCONJ
ejpam-3757	486	21	the	the	DET
ejpam-3757	486	22	umbral	umbral	ADJ
ejpam-3757	486	23	algebra	algebra	NOUN
ejpam-3757	486	24	.	.	PUNCT
ejpam-3757	487	1	j.	j.	PROPN
ejpam-3757	487	2	number	number	PROPN
ejpam-3757	487	3	theory	theory	NOUN
ejpam-3757	487	4	,	,	PUNCT
ejpam-3757	487	5	133:3245–3263	133:3245–3263	NUM
ejpam-3757	487	6	,	,	PUNCT
ejpam-3757	487	7	2013	2013	NUM
ejpam-3757	487	8	.	.	PUNCT
ejpam-3757	488	1	[	[	X
ejpam-3757	488	2	5	5	NUM
ejpam-3757	488	3	]	]	X
ejpam-3757	488	4	b.n	b.n	PROPN
ejpam-3757	488	5	.	.	PROPN
ejpam-3757	488	6	guo	guo	PROPN
ejpam-3757	488	7	and	and	CCONJ
ejpam-3757	488	8	f.	f.	PROPN
ejpam-3757	488	9	qi	qi	PROPN
ejpam-3757	488	10	.	.	PROPN
ejpam-3757	489	1	generalization	generalization	NOUN
ejpam-3757	489	2	of	of	ADP
ejpam-3757	489	3	bernoulli	bernoulli	PROPN
ejpam-3757	489	4	polynomials	polynomial	NOUN
ejpam-3757	489	5	.	.	PUNCT
ejpam-3757	490	1	j.	j.	PROPN
ejpam-3757	490	2	math	math	PROPN
ejpam-3757	490	3	.	.	PUNCT
ejpam-3757	491	1	ed	ed	NOUN
ejpam-3757	491	2	.	.	PUNCT
ejpam-3757	492	1	sci	sci	PROPN
ejpam-3757	492	2	.	.	PUNCT
ejpam-3757	492	3	tech	tech	PROPN
ejpam-3757	492	4	.	.	PUNCT
ejpam-3757	492	5	,	,	PUNCT
ejpam-3757	493	1	33(3):428–31	33(3):428–31	NUM
ejpam-3757	493	2	,	,	PUNCT
ejpam-3757	493	3	2002	2002	NUM
ejpam-3757	493	4	.	.	PUNCT
ejpam-3757	494	1	[	[	X
ejpam-3757	494	2	6	6	NUM
ejpam-3757	494	3	]	]	PUNCT
ejpam-3757	494	4	g.-w	g.-w	PROPN
ejpam-3757	494	5	.	.	PUNCT
ejpam-3757	495	1	jang	jang	PROPN
ejpam-3757	495	2	and	and	CCONJ
ejpam-3757	495	3	t.	t.	PROPN
ejpam-3757	495	4	kim	kim	PROPN
ejpam-3757	495	5	.	.	PUNCT
ejpam-3757	496	1	some	some	DET
ejpam-3757	496	2	identities	identity	NOUN
ejpam-3757	496	3	of	of	ADP
ejpam-3757	496	4	ordered	order	VERB
ejpam-3757	496	5	bell	bell	NOUN
ejpam-3757	496	6	numbers	number	NOUN
ejpam-3757	496	7	arising	arise	VERB
ejpam-3757	496	8	from	from	ADP
ejpam-3757	496	9	differential	differential	ADJ
ejpam-3757	496	10	equations	equation	NOUN
ejpam-3757	496	11	.	.	PUNCT
ejpam-3757	497	1	adv	adv	PROPN
ejpam-3757	497	2	.	.	PUNCT
ejpam-3757	497	3	stud	stud	PROPN
ejpam-3757	497	4	.	.	PUNCT
ejpam-3757	498	1	contemp	contemp	NOUN
ejpam-3757	498	2	.	.	PUNCT
ejpam-3757	499	1	math(kyungshang	math(kyungshang	PROPN
ejpam-3757	499	2	)	)	PUNCT
ejpam-3757	499	3	,	,	PUNCT
ejpam-3757	499	4	27(3):385–397	27(3):385–397	PROPN
ejpam-3757	499	5	,	,	PUNCT
ejpam-3757	499	6	2017	2017	NUM
ejpam-3757	499	7	.	.	PUNCT
ejpam-3757	500	1	[	[	X
ejpam-3757	500	2	7	7	X
ejpam-3757	500	3	]	]	X
ejpam-3757	500	4	h.	h.	PROPN
ejpam-3757	500	5	jolany	jolany	PROPN
ejpam-3757	500	6	and	and	CCONJ
ejpam-3757	500	7	r.	r.	PROPN
ejpam-3757	500	8	corcino	corcino	PROPN
ejpam-3757	500	9	.	.	PUNCT
ejpam-3757	501	1	explicit	explicit	ADJ
ejpam-3757	501	2	formula	formula	NOUN
ejpam-3757	501	3	for	for	ADP
ejpam-3757	501	4	the	the	DET
ejpam-3757	501	5	generalization	generalization	NOUN
ejpam-3757	501	6	of	of	ADP
ejpam-3757	501	7	poly	poly	ADJ
ejpam-3757	501	8	-	-	PUNCT
ejpam-3757	501	9	bernoulli	bernoulli	NOUN
ejpam-3757	501	10	numbers	number	NOUN
ejpam-3757	501	11	and	and	CCONJ
ejpam-3757	501	12	polynomials	polynomial	NOUN
ejpam-3757	501	13	with	with	ADP
ejpam-3757	501	14	a	a	DET
ejpam-3757	501	15	,	,	PUNCT
ejpam-3757	501	16	b	b	NOUN
ejpam-3757	501	17	,	,	PUNCT
ejpam-3757	501	18	c	c	PROPN
ejpam-3757	501	19	parameters	parameter	NOUN
ejpam-3757	501	20	.	.	PUNCT
ejpam-3757	502	1	j.	j.	PROPN
ejpam-3757	502	2	class	class	PROPN
ejpam-3757	502	3	.	.	PUNCT
ejpam-3757	503	1	anal	anal	PROPN
ejpam-3757	503	2	.	.	PUNCT
ejpam-3757	503	3	,	,	PUNCT
ejpam-3757	503	4	6(2):119–135	6(2):119–135	NOUN
ejpam-3757	503	5	,	,	PUNCT
ejpam-3757	503	6	2015	2015	NUM
ejpam-3757	503	7	.	.	PUNCT
ejpam-3757	504	1	[	[	X
ejpam-3757	504	2	8	8	NUM
ejpam-3757	504	3	]	]	X
ejpam-3757	504	4	h.	h.	PROPN
ejpam-3757	504	5	jolany	jolany	PROPN
ejpam-3757	504	6	,	,	PUNCT
ejpam-3757	504	7	h.	h.	PROPN
ejpam-3757	504	8	sharifi	sharifi	PROPN
ejpam-3757	504	9	,	,	PUNCT
ejpam-3757	504	10	and	and	CCONJ
ejpam-3757	504	11	r.	r.	PROPN
ejpam-3757	504	12	alikelaye	alikelaye	NOUN
ejpam-3757	504	13	.	.	PUNCT
ejpam-3757	505	1	some	some	DET
ejpam-3757	505	2	results	result	NOUN
ejpam-3757	505	3	for	for	ADP
ejpam-3757	505	4	the	the	DET
ejpam-3757	505	5	apostol	apostol	NOUN
ejpam-3757	505	6	-	-	PUNCT
ejpam-3757	505	7	genocchi	genocchi	PROPN
ejpam-3757	505	8	polynomials	polynomial	NOUN
ejpam-3757	505	9	of	of	ADP
ejpam-3757	505	10	higher	high	ADJ
ejpam-3757	505	11	order	order	NOUN
ejpam-3757	505	12	.	.	PUNCT
ejpam-3757	506	1	the	the	DET
ejpam-3757	506	2	bulletin	bulletin	NOUN
ejpam-3757	506	3	of	of	ADP
ejpam-3757	506	4	malaysia	malaysia	PROPN
ejpam-3757	506	5	soc	soc	PROPN
ejpam-3757	506	6	.	.	PUNCT
ejpam-3757	506	7	,	,	PUNCT
ejpam-3757	506	8	2:465–479	2:465–479	NUM
ejpam-3757	506	9	,	,	PUNCT
ejpam-3757	506	10	2013	2013	NUM
ejpam-3757	506	11	.	.	PUNCT
ejpam-3757	507	1	[	[	X
ejpam-3757	507	2	9	9	NUM
ejpam-3757	507	3	]	]	X
ejpam-3757	507	4	b.k	b.k	PROPN
ejpam-3757	507	5	.	.	PROPN
ejpam-3757	507	6	karande	karande	PROPN
ejpam-3757	507	7	and	and	CCONJ
ejpam-3757	507	8	n.k	n.k	PROPN
ejpam-3757	507	9	.	.	PROPN
ejpam-3757	507	10	thakare	thakare	NOUN
ejpam-3757	507	11	.	.	PUNCT
ejpam-3757	508	1	on	on	ADP
ejpam-3757	508	2	the	the	DET
ejpam-3757	508	3	unification	unification	NOUN
ejpam-3757	508	4	of	of	ADP
ejpam-3757	508	5	bernoulli	bernoulli	PROPN
ejpam-3757	508	6	and	and	CCONJ
ejpam-3757	508	7	euler	euler	NOUN
ejpam-3757	508	8	polynomials	polynomial	NOUN
ejpam-3757	508	9	.	.	PUNCT
ejpam-3757	509	1	indian	indian	PROPN
ejpam-3757	509	2	j.	j.	PROPN
ejpam-3757	509	3	pure	pure	PROPN
ejpam-3757	509	4	appl	appl	PROPN
ejpam-3757	509	5	.	.	PUNCT
ejpam-3757	509	6	math	math	PROPN
ejpam-3757	509	7	,	,	PUNCT
ejpam-3757	509	8	6:98–107	6:98–107	NUM
ejpam-3757	509	9	,	,	PUNCT
ejpam-3757	509	10	1975	1975	NUM
ejpam-3757	509	11	.	.	PUNCT
ejpam-3757	510	1	[	[	X
ejpam-3757	510	2	10	10	NUM
ejpam-3757	510	3	]	]	X
ejpam-3757	510	4	l.	l.	PROPN
ejpam-3757	510	5	kargin	kargin	PROPN
ejpam-3757	510	6	.	.	PUNCT
ejpam-3757	511	1	some	some	DET
ejpam-3757	511	2	formulae	formulae	NOUN
ejpam-3757	511	3	for	for	ADP
ejpam-3757	511	4	products	product	NOUN
ejpam-3757	511	5	of	of	ADP
ejpam-3757	511	6	geometric	geometric	ADJ
ejpam-3757	511	7	polynomials	polynomial	NOUN
ejpam-3757	511	8	with	with	ADP
ejpam-3757	511	9	applications	application	NOUN
ejpam-3757	511	10	.	.	PUNCT
ejpam-3757	512	1	journal	journal	NOUN
ejpam-3757	512	2	of	of	ADP
ejpam-3757	512	3	integer	integer	PROPN
ejpam-3757	512	4	sequences	sequence	NOUN
ejpam-3757	512	5	,	,	PUNCT
ejpam-3757	512	6	20(article	20(article	NUM
ejpam-3757	512	7	17.4.4):15	17.4.4):15	NUM
ejpam-3757	512	8	pages	page	NOUN
ejpam-3757	512	9	,	,	PUNCT
ejpam-3757	512	10	2017	2017	NUM
ejpam-3757	512	11	.	.	PUNCT
ejpam-3757	513	1	[	[	X
ejpam-3757	513	2	11	11	NUM
ejpam-3757	513	3	]	]	X
ejpam-3757	513	4	n.	n.	NOUN
ejpam-3757	513	5	kilar	kilar	PROPN
ejpam-3757	513	6	and	and	CCONJ
ejpam-3757	513	7	y.	y.	PROPN
ejpam-3757	513	8	simsek	simsek	PROPN
ejpam-3757	513	9	.	.	PUNCT
ejpam-3757	514	1	a	a	DET
ejpam-3757	514	2	new	new	ADJ
ejpam-3757	514	3	family	family	NOUN
ejpam-3757	514	4	of	of	ADP
ejpam-3757	514	5	fubini	fubini	ADJ
ejpam-3757	514	6	type	type	NOUN
ejpam-3757	514	7	numbers	number	NOUN
ejpam-3757	514	8	and	and	CCONJ
ejpam-3757	514	9	polynomials	polynomial	NOUN
ejpam-3757	514	10	associated	associate	VERB
ejpam-3757	514	11	with	with	ADP
ejpam-3757	514	12	apostol	apostol	NOUN
ejpam-3757	514	13	-	-	PUNCT
ejpam-3757	514	14	bernoulli	bernoulli	NOUN
ejpam-3757	514	15	numbers	number	NOUN
ejpam-3757	514	16	and	and	CCONJ
ejpam-3757	514	17	polynomials	polynomial	NOUN
ejpam-3757	514	18	.	.	PUNCT
ejpam-3757	515	1	j.	j.	PROPN
ejpam-3757	515	2	korean	korean	PROPN
ejpam-3757	515	3	math	math	PROPN
ejpam-3757	515	4	.	.	PUNCT
ejpam-3757	516	1	soc	soc	PROPN
ejpam-3757	516	2	.	.	PROPN
ejpam-3757	516	3	,	,	PUNCT
ejpam-3757	516	4	54:1605–1621	54:1605–1621	NUM
ejpam-3757	516	5	,	,	PUNCT
ejpam-3757	516	6	2017	2017	NUM
ejpam-3757	516	7	.	.	PUNCT
ejpam-3757	517	1	[	[	X
ejpam-3757	517	2	12	12	NUM
ejpam-3757	517	3	]	]	X
ejpam-3757	517	4	d.s	d.s	PROPN
ejpam-3757	517	5	.	.	PROPN
ejpam-3757	517	6	kim	kim	PROPN
ejpam-3757	517	7	,	,	PUNCT
ejpam-3757	517	8	g.-w	g.-w	PROPN
ejpam-3757	517	9	.	.	PUNCT
ejpam-3757	518	1	jang	jang	PROPN
ejpam-3757	518	2	,	,	PUNCT
ejpam-3757	518	3	h.-i	h.-i	PROPN
ejpam-3757	518	4	.	.	PROPN
ejpam-3757	518	5	kwon	kwon	PROPN
ejpam-3757	518	6	,	,	PUNCT
ejpam-3757	518	7	and	and	CCONJ
ejpam-3757	518	8	t.	t.	PROPN
ejpam-3757	518	9	kim	kim	PROPN
ejpam-3757	518	10	.	.	PUNCT
ejpam-3757	519	1	two	two	NUM
ejpam-3757	519	2	variable	variable	ADJ
ejpam-3757	519	3	higher	high	ADJ
ejpam-3757	519	4	-	-	PUNCT
ejpam-3757	519	5	order	order	NOUN
ejpam-3757	519	6	degenerate	degenerate	ADJ
ejpam-3757	519	7	fubini	fubini	ADJ
ejpam-3757	519	8	polynomials	polynomial	NOUN
ejpam-3757	519	9	.	.	PUNCT
ejpam-3757	520	1	proc	proc	NOUN
ejpam-3757	520	2	.	.	PUNCT
ejpam-3757	521	1	jangjeon	jangjeon	PROPN
ejpam-3757	521	2	math	math	PROPN
ejpam-3757	521	3	.	.	PUNCT
ejpam-3757	522	1	soc	soc	PROPN
ejpam-3757	522	2	.	.	PUNCT
ejpam-3757	522	3	,	,	PUNCT
ejpam-3757	522	4	21(1):5–22	21(1):5–22	NUM
ejpam-3757	522	5	,	,	PUNCT
ejpam-3757	522	6	2018	2018	NUM
ejpam-3757	522	7	.	.	PUNCT
ejpam-3757	523	1	[	[	X
ejpam-3757	523	2	13	13	NUM
ejpam-3757	523	3	]	]	X
ejpam-3757	523	4	d.s	d.s	PROPN
ejpam-3757	523	5	.	.	PROPN
ejpam-3757	523	6	kim	kim	PROPN
ejpam-3757	523	7	,	,	PUNCT
ejpam-3757	523	8	t.	t.	PROPN
ejpam-3757	523	9	kim	kim	PROPN
ejpam-3757	523	10	,	,	PUNCT
ejpam-3757	523	11	h.-i	h.-i	PROPN
ejpam-3757	523	12	.	.	PUNCT
ejpam-3757	523	13	kwon	kwon	PROPN
ejpam-3757	523	14	,	,	PUNCT
ejpam-3757	523	15	and	and	CCONJ
ejpam-3757	523	16	j.-w	j.-w	PROPN
ejpam-3757	523	17	.	.	PUNCT
ejpam-3757	524	1	park	park	NOUN
ejpam-3757	524	2	.	.	PUNCT
ejpam-3757	525	1	two	two	NUM
ejpam-3757	525	2	variable	variable	ADJ
ejpam-3757	525	3	higher	high	ADJ
ejpam-3757	525	4	order	order	NOUN
ejpam-3757	525	5	fubini	fubini	ADJ
ejpam-3757	525	6	polynomials	polynomial	NOUN
ejpam-3757	525	7	.	.	PUNCT
ejpam-3757	526	1	j.	j.	PROPN
ejpam-3757	526	2	korean	korean	PROPN
ejpam-3757	526	3	math	math	PROPN
ejpam-3757	526	4	.	.	PUNCT
ejpam-3757	527	1	soc	soc	PROPN
ejpam-3757	527	2	.	.	PUNCT
ejpam-3757	527	3	,	,	PUNCT
ejpam-3757	527	4	55(4):975–986	55(4):975–986	NUM
ejpam-3757	527	5	,	,	PUNCT
ejpam-3757	527	6	2018	2018	NUM
ejpam-3757	527	7	.	.	PUNCT
ejpam-3757	528	1	[	[	X
ejpam-3757	528	2	14	14	NUM
ejpam-3757	528	3	]	]	PUNCT
ejpam-3757	528	4	t.	t.	PROPN
ejpam-3757	528	5	kim	kim	PROPN
ejpam-3757	528	6	.	.	PROPN
ejpam-3757	528	7	degenerate	degenerate	PROPN
ejpam-3757	528	8	ordered	order	VERB
ejpam-3757	528	9	bell	bell	NOUN
ejpam-3757	528	10	numbers	number	NOUN
ejpam-3757	528	11	and	and	CCONJ
ejpam-3757	528	12	polynomials	polynomial	NOUN
ejpam-3757	528	13	.	.	PUNCT
ejpam-3757	529	1	proc	proc	PROPN
ejpam-3757	529	2	.	.	PUNCT
ejpam-3757	530	1	jangjeon	jangjeon	PROPN
ejpam-3757	530	2	math	math	PROPN
ejpam-3757	530	3	soc	soc	PROPN
ejpam-3757	530	4	.	.	PUNCT
ejpam-3757	530	5	,	,	PUNCT
ejpam-3757	530	6	20(2):137–144	20(2):137–144	PROPN
ejpam-3757	530	7	,	,	PUNCT
ejpam-3757	530	8	2017	2017	NUM
ejpam-3757	530	9	.	.	PUNCT
ejpam-3757	531	1	[	[	X
ejpam-3757	531	2	15	15	NUM
ejpam-3757	531	3	]	]	PUNCT
ejpam-3757	531	4	t.	t.	PROPN
ejpam-3757	531	5	kim	kim	PROPN
ejpam-3757	531	6	,	,	PUNCT
ejpam-3757	531	7	d.s	d.s	PROPN
ejpam-3757	531	8	.	.	PROPN
ejpam-3757	531	9	kim	kim	PROPN
ejpam-3757	531	10	,	,	PUNCT
ejpam-3757	531	11	g.	g.	PROPN
ejpam-3757	531	12	jang	jang	PROPN
ejpam-3757	531	13	,	,	PUNCT
ejpam-3757	531	14	and	and	CCONJ
ejpam-3757	531	15	d.	d.	PROPN
ejpam-3757	531	16	kim	kim	PROPN
ejpam-3757	531	17	.	.	PUNCT
ejpam-3757	532	1	two	two	NUM
ejpam-3757	532	2	variable	variable	ADJ
ejpam-3757	532	3	higher	high	ADJ
ejpam-3757	532	4	-	-	PUNCT
ejpam-3757	532	5	order	order	NOUN
ejpam-3757	532	6	central	central	ADJ
ejpam-3757	532	7	fubini	fubini	ADJ
ejpam-3757	532	8	polynomials	polynomial	NOUN
ejpam-3757	532	9	.	.	PUNCT
ejpam-3757	533	1	j.	j.	PROPN
ejpam-3757	533	2	inequal	inequal	PROPN
ejpam-3757	533	3	.	.	PUNCT
ejpam-3757	534	1	appl	appl	PROPN
ejpam-3757	534	2	,	,	PUNCT
ejpam-3757	534	3	146	146	NUM
ejpam-3757	534	4	,	,	PUNCT
ejpam-3757	534	5	2019	2019	NUM
ejpam-3757	534	6	.	.	PUNCT
ejpam-3757	535	1	references	reference	NOUN
ejpam-3757	535	2	606	606	NUM
ejpam-3757	536	1	[	[	X
ejpam-3757	536	2	16	16	NUM
ejpam-3757	536	3	]	]	PUNCT
ejpam-3757	536	4	t.	t.	PROPN
ejpam-3757	536	5	kim	kim	PROPN
ejpam-3757	536	6	,	,	PUNCT
ejpam-3757	536	7	d.s	d.s	PROPN
ejpam-3757	536	8	.	.	PROPN
ejpam-3757	536	9	kim	kim	PROPN
ejpam-3757	536	10	,	,	PUNCT
ejpam-3757	536	11	and	and	CCONJ
ejpam-3757	536	12	g.-w	g.-w	PROPN
ejpam-3757	536	13	.	.	PUNCT
ejpam-3757	537	1	jang	jang	PROPN
ejpam-3757	537	2	.	.	PUNCT
ejpam-3757	538	1	a	a	DET
ejpam-3757	538	2	note	note	NOUN
ejpam-3757	538	3	on	on	ADP
ejpam-3757	538	4	degenerate	degenerate	ADJ
ejpam-3757	538	5	fubini	fubini	ADJ
ejpam-3757	538	6	polynomials	polynomial	NOUN
ejpam-3757	538	7	.	.	PUNCT
ejpam-3757	539	1	proc	proc	NOUN
ejpam-3757	539	2	.	.	PUNCT
ejpam-3757	540	1	jangjeon	jangjeon	PROPN
ejpam-3757	540	2	math	math	PROPN
ejpam-3757	540	3	.	.	PUNCT
ejpam-3757	541	1	soc	soc	PROPN
ejpam-3757	541	2	.	.	PROPN
ejpam-3757	541	3	,	,	PUNCT
ejpam-3757	541	4	20:521–531	20:521–531	PROPN
ejpam-3757	541	5	,	,	PUNCT
ejpam-3757	541	6	2017	2017	NUM
ejpam-3757	541	7	.	.	PUNCT
ejpam-3757	542	1	[	[	X
ejpam-3757	542	2	17	17	NUM
ejpam-3757	542	3	]	]	PUNCT
ejpam-3757	542	4	t.	t.	PROPN
ejpam-3757	542	5	kim	kim	PROPN
ejpam-3757	542	6	,	,	PUNCT
ejpam-3757	542	7	d.s	d.s	PROPN
ejpam-3757	542	8	.	.	PROPN
ejpam-3757	542	9	kim	kim	PROPN
ejpam-3757	542	10	,	,	PUNCT
ejpam-3757	542	11	g.-w	g.-w	PROPN
ejpam-3757	542	12	.	.	PUNCT
ejpam-3757	543	1	jang	jang	PROPN
ejpam-3757	543	2	,	,	PUNCT
ejpam-3757	543	3	and	and	CCONJ
ejpam-3757	543	4	j.	j.	PROPN
ejpam-3757	543	5	kwon	kwon	PROPN
ejpam-3757	543	6	.	.	PUNCT
ejpam-3757	544	1	symmetric	symmetric	ADJ
ejpam-3757	544	2	identities	identity	NOUN
ejpam-3757	544	3	for	for	ADP
ejpam-3757	544	4	fubini	fubini	ADJ
ejpam-3757	544	5	polynomials	polynomial	NOUN
ejpam-3757	544	6	.	.	PUNCT
ejpam-3757	545	1	symmetry	symmetry	NOUN
ejpam-3757	545	2	,	,	PUNCT
ejpam-3757	545	3	10(6):219	10(6):219	NOUN
ejpam-3757	545	4	,	,	PUNCT
ejpam-3757	545	5	7	7	NUM
ejpam-3757	545	6	pages	page	NOUN
ejpam-3757	545	7	,	,	PUNCT
ejpam-3757	545	8	2018	2018	NUM
ejpam-3757	545	9	.	.	PUNCT
ejpam-3757	546	1	[	[	X
ejpam-3757	546	2	18	18	NUM
ejpam-3757	546	3	]	]	X
ejpam-3757	546	4	v.	v.	ADP
ejpam-3757	546	5	kurt	kurt	PROPN
ejpam-3757	546	6	.	.	PUNCT
ejpam-3757	547	1	a	a	DET
ejpam-3757	547	2	further	further	ADJ
ejpam-3757	547	3	symmetric	symmetric	ADJ
ejpam-3757	547	4	relation	relation	NOUN
ejpam-3757	547	5	on	on	ADP
ejpam-3757	547	6	the	the	DET
ejpam-3757	547	7	analogue	analogue	NOUN
ejpam-3757	547	8	of	of	ADP
ejpam-3757	547	9	the	the	DET
ejpam-3757	547	10	apostol	apostol	NOUN
ejpam-3757	547	11	-	-	PUNCT
ejpam-3757	547	12	bernoulli	bernoulli	PROPN
ejpam-3757	547	13	and	and	CCONJ
ejpam-3757	547	14	the	the	DET
ejpam-3757	547	15	analogue	analogue	NOUN
ejpam-3757	547	16	of	of	ADP
ejpam-3757	547	17	the	the	DET
ejpam-3757	547	18	apostol	apostol	NOUN
ejpam-3757	547	19	-	-	PUNCT
ejpam-3757	547	20	genocchi	genocchi	PROPN
ejpam-3757	547	21	polynomials	polynomial	NOUN
ejpam-3757	547	22	.	.	PUNCT
ejpam-3757	548	1	appl	appl	PROPN
ejpam-3757	548	2	.	.	PROPN
ejpam-3757	548	3	math	math	PROPN
ejpam-3757	548	4	.	.	PUNCT
ejpam-3757	549	1	sci	sci	PROPN
ejpam-3757	549	2	.	.	PROPN
ejpam-3757	549	3	,	,	PUNCT
ejpam-3757	549	4	3(56):2757	3(56):2757	NUM
ejpam-3757	549	5	–	–	PUNCT
ejpam-3757	549	6	2764	2764	NUM
ejpam-3757	549	7	,	,	PUNCT
ejpam-3757	549	8	2009	2009	NUM
ejpam-3757	549	9	.	.	PUNCT
ejpam-3757	550	1	[	[	X
ejpam-3757	550	2	19	19	NUM
ejpam-3757	550	3	]	]	X
ejpam-3757	550	4	d.q	d.q	PROPN
ejpam-3757	550	5	.	.	PROPN
ejpam-3757	551	1	lu	lu	PROPN
ejpam-3757	551	2	and	and	CCONJ
ejpam-3757	551	3	h.m	h.m	PROPN
ejpam-3757	551	4	.	.	PROPN
ejpam-3757	551	5	srivastava	srivastava	PROPN
ejpam-3757	551	6	.	.	PUNCT
ejpam-3757	552	1	some	some	DET
ejpam-3757	552	2	series	series	NOUN
ejpam-3757	552	3	identities	identity	NOUN
ejpam-3757	552	4	involving	involve	VERB
ejpam-3757	552	5	the	the	DET
ejpam-3757	552	6	generalized	generalize	VERB
ejpam-3757	552	7	apostol	apostol	NOUN
ejpam-3757	552	8	type	type	NOUN
ejpam-3757	552	9	and	and	CCONJ
ejpam-3757	552	10	related	related	ADJ
ejpam-3757	552	11	polynomials	polynomial	NOUN
ejpam-3757	552	12	.	.	PUNCT
ejpam-3757	553	1	comp	comp	PROPN
ejpam-3757	553	2	.	.	PUNCT
ejpam-3757	554	1	math	math	PROPN
ejpam-3757	554	2	.	.	PUNCT
ejpam-3757	555	1	appl	appl	PROPN
ejpam-3757	555	2	.	.	PROPN
ejpam-3757	555	3	,	,	PUNCT
ejpam-3757	556	1	62(2011):3591–3602	62(2011):3591–3602	X
ejpam-3757	556	2	.	.	PUNCT
ejpam-3757	557	1	[	[	X
ejpam-3757	557	2	20	20	NUM
ejpam-3757	557	3	]	]	SYM
ejpam-3757	557	4	q.-m	q.-m	NOUN
ejpam-3757	557	5	.	.	PUNCT
ejpam-3757	558	1	luo	luo	PROPN
ejpam-3757	558	2	.	.	PROPN
ejpam-3757	559	1	on	on	ADP
ejpam-3757	559	2	the	the	DET
ejpam-3757	559	3	apostol	apostol	NOUN
ejpam-3757	559	4	-	-	PUNCT
ejpam-3757	559	5	bernoulli	bernoulli	NOUN
ejpam-3757	559	6	polynomials	polynomial	NOUN
ejpam-3757	559	7	.	.	PUNCT
ejpam-3757	560	1	central	central	ADJ
ejpam-3757	560	2	eur	eur	PROPN
ejpam-3757	560	3	.	.	PUNCT
ejpam-3757	561	1	j.	j.	PROPN
ejpam-3757	561	2	math	math	PROPN
ejpam-3757	561	3	.	.	PROPN
ejpam-3757	561	4	,	,	PUNCT
ejpam-3757	561	5	2:509–515	2:509–515	NUM
ejpam-3757	561	6	,	,	PUNCT
ejpam-3757	561	7	2004	2004	NUM
ejpam-3757	561	8	.	.	PUNCT
ejpam-3757	562	1	[	[	X
ejpam-3757	562	2	21	21	NUM
ejpam-3757	562	3	]	]	X
ejpam-3757	562	4	q.-m	q.-m	NOUN
ejpam-3757	562	5	.	.	PUNCT
ejpam-3757	563	1	luo	luo	PROPN
ejpam-3757	563	2	.	.	PROPN
ejpam-3757	563	3	apostol	apostol	PROPN
ejpam-3757	563	4	-	-	PUNCT
ejpam-3757	563	5	euler	euler	NOUN
ejpam-3757	563	6	polynomials	polynomial	NOUN
ejpam-3757	563	7	of	of	ADP
ejpam-3757	563	8	higher	high	ADJ
ejpam-3757	563	9	order	order	NOUN
ejpam-3757	563	10	and	and	CCONJ
ejpam-3757	563	11	gaussian	gaussian	ADJ
ejpam-3757	563	12	hypergeometric	hypergeometric	ADJ
ejpam-3757	563	13	functions	function	NOUN
ejpam-3757	563	14	.	.	PUNCT
ejpam-3757	564	1	taiwanese	taiwanese	ADJ
ejpam-3757	564	2	j	j	PROPN
ejpam-3757	564	3	math	math	PROPN
ejpam-3757	564	4	.	.	PUNCT
ejpam-3757	564	5	,	,	PUNCT
ejpam-3757	564	6	10(4):917–925	10(4):917–925	PROPN
ejpam-3757	564	7	,	,	PUNCT
ejpam-3757	564	8	june	june	PROPN
ejpam-3757	564	9	2006	2006	NUM
ejpam-3757	564	10	.	.	PUNCT
ejpam-3757	565	1	[	[	X
ejpam-3757	565	2	22	22	NUM
ejpam-3757	565	3	]	]	X
ejpam-3757	565	4	q.-m	q.-m	NOUN
ejpam-3757	565	5	.	.	PUNCT
ejpam-3757	566	1	luo	luo	PROPN
ejpam-3757	566	2	.	.	PUNCT
ejpam-3757	567	1	fourier	fourier	ADJ
ejpam-3757	567	2	expansions	expansion	NOUN
ejpam-3757	567	3	and	and	CCONJ
ejpam-3757	567	4	integral	integral	ADJ
ejpam-3757	567	5	representations	representation	NOUN
ejpam-3757	567	6	for	for	ADP
ejpam-3757	567	7	the	the	DET
ejpam-3757	567	8	genocchi	genocchi	PROPN
ejpam-3757	567	9	polynomials	polynomial	NOUN
ejpam-3757	567	10	.	.	PUNCT
ejpam-3757	568	1	j.	j.	PROPN
ejpam-3757	568	2	integer	integer	PROPN
ejpam-3757	568	3	seq	seq	PROPN
ejpam-3757	568	4	.	.	PROPN
ejpam-3757	568	5	,	,	PUNCT
ejpam-3757	568	6	12(article	12(article	NUM
ejpam-3757	568	7	09.1.4	09.1.4	NOUN
ejpam-3757	568	8	)	)	PUNCT
ejpam-3757	568	9	,	,	PUNCT
ejpam-3757	568	10	2009	2009	NUM
ejpam-3757	568	11	.	.	PUNCT
ejpam-3757	569	1	[	[	X
ejpam-3757	569	2	23	23	NUM
ejpam-3757	569	3	]	]	X
ejpam-3757	569	4	q.-m	q.-m	NOUN
ejpam-3757	569	5	.	.	PUNCT
ejpam-3757	570	1	luo	luo	PROPN
ejpam-3757	570	2	.	.	PUNCT
ejpam-3757	570	3	extension	extension	NOUN
ejpam-3757	570	4	for	for	ADP
ejpam-3757	570	5	the	the	DET
ejpam-3757	570	6	genocchi	genocchi	PROPN
ejpam-3757	570	7	polynomials	polynomial	NOUN
ejpam-3757	570	8	and	and	CCONJ
ejpam-3757	570	9	its	its	PRON
ejpam-3757	570	10	fourier	fourier	NOUN
ejpam-3757	570	11	expansions	expansion	NOUN
ejpam-3757	570	12	and	and	CCONJ
ejpam-3757	570	13	integral	integral	ADJ
ejpam-3757	570	14	representations	representation	NOUN
ejpam-3757	570	15	.	.	PUNCT
ejpam-3757	571	1	osaka	osaka	PROPN
ejpam-3757	571	2	j.	j.	PROPN
ejpam-3757	571	3	math	math	PROPN
ejpam-3757	571	4	.	.	PUNCT
ejpam-3757	571	5	,	,	PUNCT
ejpam-3757	571	6	48(2):291–309	48(2):291–309	PROPN
ejpam-3757	571	7	,	,	PUNCT
ejpam-3757	571	8	2011	2011	NUM
ejpam-3757	571	9	.	.	PUNCT
ejpam-3757	572	1	[	[	X
ejpam-3757	572	2	24	24	NUM
ejpam-3757	572	3	]	]	PUNCT
ejpam-3757	572	4	q.-m	q.-m	NOUN
ejpam-3757	572	5	.	.	PUNCT
ejpam-3757	573	1	luo	luo	PROPN
ejpam-3757	573	2	and	and	CCONJ
ejpam-3757	573	3	h.m	h.m	PROPN
ejpam-3757	573	4	.	.	PROPN
ejpam-3757	573	5	srivastava	srivastava	PROPN
ejpam-3757	573	6	.	.	PUNCT
ejpam-3757	574	1	some	some	DET
ejpam-3757	574	2	generalizations	generalization	NOUN
ejpam-3757	574	3	of	of	ADP
ejpam-3757	574	4	the	the	DET
ejpam-3757	574	5	apostol	apostol	NOUN
ejpam-3757	574	6	-	-	PUNCT
ejpam-3757	574	7	bernoulli	bernoulli	NOUN
ejpam-3757	574	8	and	and	CCONJ
ejpam-3757	574	9	apostol	apostol	NOUN
ejpam-3757	574	10	-	-	PUNCT
ejpam-3757	574	11	euler	euler	NOUN
ejpam-3757	574	12	polynomials	polynomial	NOUN
ejpam-3757	574	13	.	.	PUNCT
ejpam-3757	575	1	j.	j.	PROPN
ejpam-3757	575	2	math	math	PROPN
ejpam-3757	575	3	.	.	PUNCT
ejpam-3757	576	1	anal	anal	PROPN
ejpam-3757	576	2	.	.	PUNCT
ejpam-3757	577	1	appl	appl	PROPN
ejpam-3757	577	2	.	.	PROPN
ejpam-3757	577	3	,	,	PUNCT
ejpam-3757	577	4	308(1):290–302	308(1):290–302	NUM
ejpam-3757	577	5	,	,	PUNCT
ejpam-3757	577	6	2005	2005	NUM
ejpam-3757	577	7	.	.	PUNCT
ejpam-3757	578	1	[	[	X
ejpam-3757	578	2	25	25	NUM
ejpam-3757	578	3	]	]	X
ejpam-3757	578	4	m.a	m.a	PROPN
ejpam-3757	578	5	.	.	PROPN
ejpam-3757	578	6	ozarslan	ozarslan	PROPN
ejpam-3757	578	7	.	.	PUNCT
ejpam-3757	579	1	unified	unified	ADJ
ejpam-3757	579	2	apostol	apostol	NOUN
ejpam-3757	579	3	-	-	PUNCT
ejpam-3757	579	4	bernoulli	bernoulli	PROPN
ejpam-3757	579	5	,	,	PUNCT
ejpam-3757	579	6	euler	euler	NOUN
ejpam-3757	579	7	and	and	CCONJ
ejpam-3757	579	8	genocchi	genocchi	PROPN
ejpam-3757	579	9	polynomials	polynomial	NOUN
ejpam-3757	579	10	.	.	PUNCT
ejpam-3757	580	1	comput	comput	NOUN
ejpam-3757	580	2	.	.	PUNCT
ejpam-3757	581	1	math	math	NOUN
ejpam-3757	581	2	.	.	PUNCT
ejpam-3757	582	1	appl	appl	PROPN
ejpam-3757	582	2	.	.	PROPN
ejpam-3757	582	3	,	,	PUNCT
ejpam-3757	583	1	62(6):2452–2462	62(6):2452–2462	PROPN
ejpam-3757	583	2	,	,	PUNCT
ejpam-3757	583	3	2011	2011	NUM
ejpam-3757	583	4	.	.	PUNCT
ejpam-3757	584	1	[	[	X
ejpam-3757	584	2	26	26	NUM
ejpam-3757	584	3	]	]	X
ejpam-3757	584	4	h.	h.	PROPN
ejpam-3757	584	5	ozden	ozden	PROPN
ejpam-3757	584	6	,	,	PUNCT
ejpam-3757	584	7	y.	y.	NOUN
ejpam-3757	584	8	simsek	simsek	PROPN
ejpam-3757	584	9	,	,	PUNCT
ejpam-3757	584	10	and	and	CCONJ
ejpam-3757	584	11	h.m	h.m	PROPN
ejpam-3757	584	12	.	.	PROPN
ejpam-3757	584	13	srivastava	srivastava	PROPN
ejpam-3757	584	14	.	.	PUNCT
ejpam-3757	585	1	a	a	DET
ejpam-3757	585	2	unified	unified	ADJ
ejpam-3757	585	3	presentation	presentation	NOUN
ejpam-3757	585	4	of	of	ADP
ejpam-3757	585	5	the	the	DET
ejpam-3757	585	6	generating	generating	NOUN
ejpam-3757	585	7	functions	function	NOUN
ejpam-3757	585	8	of	of	ADP
ejpam-3757	585	9	the	the	DET
ejpam-3757	585	10	generalized	generalized	ADJ
ejpam-3757	585	11	bernoulli	bernoulli	PROPN
ejpam-3757	585	12	,	,	PUNCT
ejpam-3757	585	13	euler	euler	NOUN
ejpam-3757	585	14	and	and	CCONJ
ejpam-3757	585	15	genocchi	genocchi	PROPN
ejpam-3757	585	16	polynomials	polynomial	NOUN
ejpam-3757	585	17	.	.	PUNCT
ejpam-3757	586	1	comput	comput	NOUN
ejpam-3757	586	2	.	.	PUNCT
ejpam-3757	587	1	math	math	NOUN
ejpam-3757	587	2	appl	appl	PROPN
ejpam-3757	587	3	,	,	PUNCT
ejpam-3757	587	4	60(10):2779–2787	60(10):2779–2787	NUM
ejpam-3757	587	5	,	,	PUNCT
ejpam-3757	587	6	2010	2010	NUM
ejpam-3757	587	7	.	.	PUNCT
ejpam-3757	588	1	[	[	X
ejpam-3757	588	2	27	27	NUM
ejpam-3757	588	3	]	]	PUNCT
ejpam-3757	588	4	s.-s	s.-	NOUN
ejpam-3757	588	5	.	.	PUNCT
ejpam-3757	589	1	pyo	pyo	PROPN
ejpam-3757	589	2	.	.	PUNCT
ejpam-3757	590	1	some	some	DET
ejpam-3757	590	2	identities	identity	NOUN
ejpam-3757	590	3	of	of	ADP
ejpam-3757	590	4	degenerate	degenerate	ADJ
ejpam-3757	590	5	fubini	fubini	ADJ
ejpam-3757	590	6	polynomials	polynomial	NOUN
ejpam-3757	590	7	arising	arise	VERB
ejpam-3757	590	8	from	from	ADP
ejpam-3757	590	9	differential	differential	ADJ
ejpam-3757	590	10	equations	equation	NOUN
ejpam-3757	590	11	.	.	PUNCT
ejpam-3757	591	1	j.	j.	PROPN
ejpam-3757	591	2	nonlinear	nonlinear	PROPN
ejpam-3757	591	3	sci	sci	PROPN
ejpam-3757	591	4	.	.	PUNCT
ejpam-3757	591	5	appl	appl	PROPN
ejpam-3757	591	6	.	.	PROPN
ejpam-3757	591	7	,	,	PUNCT
ejpam-3757	591	8	11(3):383–393	11(3):383–393	PROPN
ejpam-3757	591	9	,	,	PUNCT
ejpam-3757	591	10	2018	2018	NUM
ejpam-3757	591	11	.	.	PUNCT
ejpam-3757	592	1	[	[	X
ejpam-3757	592	2	28	28	NUM
ejpam-3757	592	3	]	]	X
ejpam-3757	592	4	h.	h.	PROPN
ejpam-3757	592	5	m.	m.	PROPN
ejpam-3757	592	6	srivastava	srivastava	PROPN
ejpam-3757	592	7	,	,	PUNCT
ejpam-3757	592	8	b.	b.	PROPN
ejpam-3757	592	9	kurt	kurt	PROPN
ejpam-3757	592	10	,	,	PUNCT
ejpam-3757	592	11	and	and	CCONJ
ejpam-3757	592	12	y.	y.	PROPN
ejpam-3757	592	13	simsek	simsek	PROPN
ejpam-3757	592	14	.	.	PUNCT
ejpam-3757	593	1	some	some	DET
ejpam-3757	593	2	families	family	NOUN
ejpam-3757	593	3	of	of	ADP
ejpam-3757	593	4	genocchi	genocchi	PROPN
ejpam-3757	593	5	type	type	NOUN
ejpam-3757	593	6	polynomials	polynomial	NOUN
ejpam-3757	593	7	and	and	CCONJ
ejpam-3757	593	8	their	their	PRON
ejpam-3757	593	9	interpolation	interpolation	NOUN
ejpam-3757	593	10	functions	function	NOUN
ejpam-3757	593	11	.	.	PUNCT
ejpam-3757	594	1	integral	integral	ADJ
ejpam-3757	594	2	transform	transform	NOUN
ejpam-3757	594	3	and	and	CCONJ
ejpam-3757	594	4	special	special	ADJ
ejpam-3757	594	5	functions	function	NOUN
ejpam-3757	594	6	,	,	PUNCT
ejpam-3757	594	7	23(12):919–938	23(12):919–938	NUM
ejpam-3757	594	8	,	,	PUNCT
ejpam-3757	594	9	2012	2012	NUM
ejpam-3757	594	10	.	.	PUNCT
ejpam-3757	595	1	doi:10.1080/10652469.2011.643627	doi:10.1080/10652469.2011.643627	NOUN
ejpam-3757	595	2	.	.	PUNCT
ejpam-3757	596	1	[	[	X
ejpam-3757	596	2	29	29	NUM
ejpam-3757	596	3	]	]	X
ejpam-3757	596	4	h.m	h.m	PROPN
ejpam-3757	596	5	.	.	PROPN
ejpam-3757	596	6	srivastava	srivastava	PROPN
ejpam-3757	596	7	and	and	CCONJ
ejpam-3757	596	8	j.	j.	PROPN
ejpam-3757	596	9	choi	choi	PROPN
ejpam-3757	596	10	.	.	PUNCT
ejpam-3757	597	1	series	series	PROPN
ejpam-3757	597	2	associated	associate	VERB
ejpam-3757	597	3	with	with	ADP
ejpam-3757	597	4	the	the	DET
ejpam-3757	597	5	zeta	zeta	NOUN
ejpam-3757	597	6	and	and	CCONJ
ejpam-3757	597	7	related	related	ADJ
ejpam-3757	597	8	functions	function	NOUN
ejpam-3757	597	9	.	.	PUNCT
ejpam-3757	598	1	kluwer	kluwer	NOUN
ejpam-3757	598	2	academic	academic	PROPN
ejpam-3757	598	3	,	,	PUNCT
ejpam-3757	598	4	dordrecht	dordrecht	PROPN
ejpam-3757	598	5	,	,	PUNCT
ejpam-3757	598	6	2001	2001	NUM
ejpam-3757	598	7	.	.	PUNCT
ejpam-3757	599	1	[	[	X
ejpam-3757	599	2	30	30	NUM
ejpam-3757	599	3	]	]	X
ejpam-3757	599	4	h.m	h.m	PROPN
ejpam-3757	599	5	.	.	PROPN
ejpam-3757	599	6	srivastava	srivastava	PROPN
ejpam-3757	599	7	,	,	PUNCT
ejpam-3757	599	8	m.	m.	NOUN
ejpam-3757	599	9	garg	garg	NOUN
ejpam-3757	599	10	,	,	PUNCT
ejpam-3757	599	11	and	and	CCONJ
ejpam-3757	599	12	s.	s.	PROPN
ejpam-3757	599	13	choudhary	choudhary	PROPN
ejpam-3757	599	14	.	.	PUNCT
ejpam-3757	600	1	a	a	DET
ejpam-3757	600	2	new	new	ADJ
ejpam-3757	600	3	generalization	generalization	NOUN
ejpam-3757	600	4	of	of	ADP
ejpam-3757	600	5	the	the	DET
ejpam-3757	600	6	bernoulli	bernoulli	PROPN
ejpam-3757	600	7	and	and	CCONJ
ejpam-3757	600	8	related	related	ADJ
ejpam-3757	600	9	polynomials	polynomial	NOUN
ejpam-3757	600	10	.	.	PUNCT
ejpam-3757	601	1	russian	russian	ADJ
ejpam-3757	601	2	j.	j.	PROPN
ejpam-3757	601	3	math	math	PROPN
ejpam-3757	601	4	.	.	PUNCT
ejpam-3757	602	1	physics	physics	PROPN
ejpam-3757	602	2	,	,	PUNCT
ejpam-3757	602	3	17(2):251–261	17(2):251–261	NUM
ejpam-3757	602	4	,	,	PUNCT
ejpam-3757	602	5	2010	2010	NUM
ejpam-3757	602	6	.	.	PUNCT
ejpam-3757	603	1	references	reference	NOUN
ejpam-3757	603	2	607	607	NUM
ejpam-3757	604	1	[	[	X
ejpam-3757	604	2	31	31	NUM
ejpam-3757	604	3	]	]	X
ejpam-3757	604	4	h.m	h.m	PROPN
ejpam-3757	604	5	.	.	PROPN
ejpam-3757	604	6	srivastava	srivastava	PROPN
ejpam-3757	604	7	,	,	PUNCT
ejpam-3757	604	8	m.	m.	NOUN
ejpam-3757	604	9	garg	garg	NOUN
ejpam-3757	604	10	,	,	PUNCT
ejpam-3757	604	11	and	and	CCONJ
ejpam-3757	604	12	s.	s.	PROPN
ejpam-3757	604	13	choudhary	choudhary	PROPN
ejpam-3757	604	14	.	.	PUNCT
ejpam-3757	605	1	some	some	DET
ejpam-3757	605	2	new	new	ADJ
ejpam-3757	605	3	families	family	NOUN
ejpam-3757	605	4	of	of	ADP
ejpam-3757	605	5	generalized	generalized	ADJ
ejpam-3757	605	6	euler	euler	NOUN
ejpam-3757	605	7	and	and	CCONJ
ejpam-3757	605	8	genocchi	genocchi	PROPN
ejpam-3757	605	9	polynomials	polynomial	NOUN
ejpam-3757	605	10	.	.	PUNCT
ejpam-3757	606	1	taiwanese	taiwanese	ADJ
ejpam-3757	606	2	j.	j.	PROPN
ejpam-3757	606	3	math	math	PROPN
ejpam-3757	606	4	.	.	PUNCT
ejpam-3757	606	5	,	,	PUNCT
ejpam-3757	607	1	15(1):283–305	15(1):283–305	NUM
ejpam-3757	607	2	,	,	PUNCT
ejpam-3757	607	3	2011	2011	NUM
ejpam-3757	607	4	.	.	PUNCT
ejpam-3757	608	1	[	[	X
ejpam-3757	608	2	32	32	NUM
ejpam-3757	608	3	]	]	X
ejpam-3757	608	4	h.m	h.m	PROPN
ejpam-3757	608	5	.	.	PROPN
ejpam-3757	608	6	srivastava	srivastava	PROPN
ejpam-3757	608	7	and	and	CCONJ
ejpam-3757	608	8	p.g	p.g	PROPN
ejpam-3757	608	9	.	.	PROPN
ejpam-3757	608	10	todorov	todorov	PROPN
ejpam-3757	608	11	.	.	PUNCT
ejpam-3757	609	1	an	an	DET
ejpam-3757	609	2	explicit	explicit	ADJ
ejpam-3757	609	3	formula	formula	NOUN
ejpam-3757	609	4	of	of	ADP
ejpam-3757	609	5	the	the	DET
ejpam-3757	609	6	generalized	generalized	ADJ
ejpam-3757	609	7	bernoulli	bernoulli	NOUN
ejpam-3757	609	8	polynomials	polynomial	NOUN
ejpam-3757	609	9	.	.	PUNCT
ejpam-3757	610	1	j	j	PROPN
ejpam-3757	610	2	math	math	PROPN
ejpam-3757	610	3	anal	anal	PROPN
ejpam-3757	610	4	.	.	PUNCT
ejpam-3757	611	1	appl	appl	PROPN
ejpam-3757	611	2	.	.	PROPN
ejpam-3757	611	3	,	,	PUNCT
ejpam-3757	611	4	130:509–513	130:509–513	NUM
ejpam-3757	611	5	,	,	PUNCT
ejpam-3757	611	6	1988	1988	NUM
ejpam-3757	611	7	.	.	PUNCT
ejpam-3757	612	1	[	[	X
ejpam-3757	612	2	33	33	NUM
ejpam-3757	612	3	]	]	PUNCT
ejpam-3757	612	4	z.	z.	PROPN
ejpam-3757	612	5	zhang	zhang	PROPN
ejpam-3757	612	6	and	and	CCONJ
ejpam-3757	612	7	h.	h.	PROPN
ejpam-3757	612	8	yang	yang	PROPN
ejpam-3757	612	9	.	.	PUNCT
ejpam-3757	613	1	several	several	ADJ
ejpam-3757	613	2	identities	identity	NOUN
ejpam-3757	613	3	for	for	ADP
ejpam-3757	613	4	the	the	DET
ejpam-3757	613	5	generalized	generalize	VERB
ejpam-3757	613	6	apostol	apostol	NOUN
ejpam-3757	613	7	-	-	PUNCT
ejpam-3757	613	8	bernoulli	bernoulli	NOUN
ejpam-3757	613	9	polynomials	polynomial	NOUN
ejpam-3757	613	10	.	.	PUNCT
ejpam-3757	614	1	comput	comput	NOUN
ejpam-3757	614	2	.	.	PUNCT
ejpam-3757	615	1	math	math	NOUN
ejpam-3757	615	2	.	.	PUNCT
ejpam-3757	616	1	appl	appl	PROPN
ejpam-3757	616	2	.	.	PROPN
ejpam-3757	616	3	,	,	PUNCT
ejpam-3757	616	4	56(12):2993–2999	56(12):2993–2999	NUM
ejpam-3757	616	5	,	,	PUNCT
ejpam-3757	616	6	2008	2008	NUM
ejpam-3757	616	7	.	.	PUNCT