id	sid	tid	token	lemma	pos
ejpam-6660	1	1	european	european	PROPN
ejpam-6660	1	2	journal	journal	PROPN
ejpam-6660	1	3	of	of	ADP
ejpam-6660	1	4	pure	pure	ADJ
ejpam-6660	1	5	and	and	CCONJ
ejpam-6660	1	6	applied	applied	ADJ
ejpam-6660	1	7	mathematics	mathematic	NOUN
ejpam-6660	1	8	2025	2025	NUM
ejpam-6660	1	9	,	,	PUNCT
ejpam-6660	1	10	vol	vol	NOUN
ejpam-6660	1	11	.	.	PROPN
ejpam-6660	1	12	18	18	NUM
ejpam-6660	1	13	,	,	PUNCT
ejpam-6660	1	14	issue	issue	NOUN
ejpam-6660	1	15	3	3	NUM
ejpam-6660	1	16	,	,	PUNCT
ejpam-6660	1	17	article	article	NOUN
ejpam-6660	1	18	number	number	NOUN
ejpam-6660	1	19	6660	6660	NUM
ejpam-6660	1	20	issn	issn	PROPN
ejpam-6660	1	21	1307	1307	NUM
ejpam-6660	1	22	-	-	SYM
ejpam-6660	1	23	5543	5543	NUM
ejpam-6660	1	24	–	–	PUNCT
ejpam-6660	1	25	ejpam.com	ejpam.com	X
ejpam-6660	1	26	published	publish	VERB
ejpam-6660	1	27	by	by	ADP
ejpam-6660	1	28	new	new	PROPN
ejpam-6660	1	29	york	york	PROPN
ejpam-6660	1	30	business	business	PROPN
ejpam-6660	1	31	global	global	PROPN
ejpam-6660	1	32	on	on	ADP
ejpam-6660	1	33	bell	bell	NOUN
ejpam-6660	1	34	-	-	PUNCT
ejpam-6660	1	35	based	base	VERB
ejpam-6660	1	36	frobenius	frobenius	NOUN
ejpam-6660	1	37	-	-	PUNCT
ejpam-6660	1	38	type	type	NOUN
ejpam-6660	1	39	eulerian	eulerian	ADJ
ejpam-6660	1	40	polynomials	polynomial	NOUN
ejpam-6660	1	41	and	and	CCONJ
ejpam-6660	1	42	their	their	PRON
ejpam-6660	1	43	applications	application	NOUN
ejpam-6660	1	44	manoj	manoj	PROPN
ejpam-6660	1	45	sharma1	sharma1	PROPN
ejpam-6660	1	46	,	,	PUNCT
ejpam-6660	1	47	waseem	waseem	PROPN
ejpam-6660	1	48	ahmad	ahmad	PROPN
ejpam-6660	1	49	khan	khan	PROPN
ejpam-6660	1	50	2,∗	2,∗	PROPN
ejpam-6660	1	51	,	,	PUNCT
ejpam-6660	1	52	ugur	ugur	ADJ
ejpam-6660	1	53	duran3	duran3	PROPN
ejpam-6660	1	54	,	,	PUNCT
ejpam-6660	1	55	mohd	mohd	PROPN
ejpam-6660	1	56	farman	farman	PROPN
ejpam-6660	1	57	ali4	ali4	PROPN
ejpam-6660	1	58	,	,	PUNCT
ejpam-6660	1	59	ashish	ashish	PROPN
ejpam-6660	1	60	sharma5	sharma5	PROPN
ejpam-6660	1	61	,	,	PUNCT
ejpam-6660	1	62	anupma	anupma	PROPN
ejpam-6660	1	63	kumari6	kumari6	PROPN
ejpam-6660	2	1	1	1	NUM
ejpam-6660	2	2	department	department	NOUN
ejpam-6660	2	3	of	of	ADP
ejpam-6660	2	4	mathematics	mathematic	NOUN
ejpam-6660	2	5	,	,	PUNCT
ejpam-6660	2	6	rustamji	rustamji	PROPN
ejpam-6660	2	7	institute	institute	PROPN
ejpam-6660	2	8	of	of	ADP
ejpam-6660	2	9	technology	technology	PROPN
ejpam-6660	2	10	,	,	PUNCT
ejpam-6660	2	11	bsf	bsf	PROPN
ejpam-6660	2	12	,	,	PUNCT
ejpam-6660	2	13	academy	academy	PROPN
ejpam-6660	2	14	,	,	PUNCT
ejpam-6660	2	15	tekanpur	tekanpur	PROPN
ejpam-6660	2	16	,	,	PUNCT
ejpam-6660	2	17	gwalior	gwalior	PROPN
ejpam-6660	2	18	,	,	PUNCT
ejpam-6660	2	19	india	india	PROPN
ejpam-6660	2	20	2	2	NUM
ejpam-6660	2	21	department	department	NOUN
ejpam-6660	2	22	of	of	ADP
ejpam-6660	2	23	electrical	electrical	ADJ
ejpam-6660	2	24	engineering	engineering	NOUN
ejpam-6660	2	25	,	,	PUNCT
ejpam-6660	2	26	prince	prince	PROPN
ejpam-6660	2	27	mohammad	mohammad	PROPN
ejpam-6660	2	28	bin	bin	PROPN
ejpam-6660	2	29	fahd	fahd	PROPN
ejpam-6660	2	30	university	university	PROPN
ejpam-6660	2	31	,	,	PUNCT
ejpam-6660	2	32	p.o	p.o	PROPN
ejpam-6660	2	33	box	box	PROPN
ejpam-6660	2	34	1664	1664	NUM
ejpam-6660	2	35	,	,	PUNCT
ejpam-6660	2	36	al	al	PROPN
ejpam-6660	2	37	khobar	khobar	PROPN
ejpam-6660	2	38	31952	31952	NUM
ejpam-6660	2	39	,	,	PUNCT
ejpam-6660	2	40	saudi	saudi	PROPN
ejpam-6660	2	41	arabia	arabia	PROPN
ejpam-6660	2	42	3	3	NUM
ejpam-6660	2	43	department	department	NOUN
ejpam-6660	2	44	of	of	ADP
ejpam-6660	2	45	basic	basic	ADJ
ejpam-6660	2	46	sciences	science	NOUN
ejpam-6660	2	47	of	of	ADP
ejpam-6660	2	48	engineering	engineering	NOUN
ejpam-6660	2	49	,	,	PUNCT
ejpam-6660	2	50	iskenderun	iskenderun	VERB
ejpam-6660	2	51	technical	technical	ADJ
ejpam-6660	2	52	university	university	NOUN
ejpam-6660	2	53	,	,	PUNCT
ejpam-6660	2	54	hatay	hatay	NOUN
ejpam-6660	2	55	31200	31200	NUM
ejpam-6660	2	56	,	,	PUNCT
ejpam-6660	2	57	turkey	turkey	PROPN
ejpam-6660	2	58	4	4	NUM
ejpam-6660	2	59	department	department	NOUN
ejpam-6660	2	60	of	of	ADP
ejpam-6660	2	61	mathematics	mathematics	PROPN
ejpam-6660	2	62	,	,	PUNCT
ejpam-6660	2	63	madhav	madhav	PROPN
ejpam-6660	2	64	university	university	PROPN
ejpam-6660	2	65	,	,	PUNCT
ejpam-6660	2	66	sirohi	sirohi	PROPN
ejpam-6660	2	67	,	,	PUNCT
ejpam-6660	2	68	rajasthan	rajasthan	PROPN
ejpam-6660	2	69	,	,	PUNCT
ejpam-6660	2	70	india	india	PROPN
ejpam-6660	2	71	5	5	NUM
ejpam-6660	2	72	amity	amity	NOUN
ejpam-6660	2	73	university	university	NOUN
ejpam-6660	2	74	,	,	PUNCT
ejpam-6660	2	75	gwalior	gwalior	PROPN
ejpam-6660	2	76	,	,	PUNCT
ejpam-6660	2	77	india	india	PROPN
ejpam-6660	2	78	6	6	NUM
ejpam-6660	3	1	p.	p.	PROPN
ejpam-6660	3	2	k.	k.	PROPN
ejpam-6660	4	1	university	university	PROPN
ejpam-6660	4	2	shivpuri	shivpuri	PROPN
ejpam-6660	4	3	,	,	PUNCT
ejpam-6660	4	4	gwalior	gwalior	PROPN
ejpam-6660	4	5	,	,	PUNCT
ejpam-6660	4	6	india	india	PROPN
ejpam-6660	4	7	abstract	abstract	NOUN
ejpam-6660	4	8	.	.	PUNCT
ejpam-6660	5	1	this	this	DET
ejpam-6660	5	2	article	article	NOUN
ejpam-6660	5	3	considers	consider	VERB
ejpam-6660	5	4	a	a	DET
ejpam-6660	5	5	new	new	ADJ
ejpam-6660	5	6	class	class	NOUN
ejpam-6660	5	7	of	of	ADP
ejpam-6660	5	8	generalized	generalized	ADJ
ejpam-6660	5	9	bell	bell	NOUN
ejpam-6660	5	10	-	-	PUNCT
ejpam-6660	5	11	based	base	VERB
ejpam-6660	5	12	frobenius	frobenius	NOUN
ejpam-6660	5	13	-	-	PUNCT
ejpam-6660	5	14	type	type	NOUN
ejpam-6660	5	15	eulerian	eulerian	ADJ
ejpam-6660	5	16	polynomials	polynomial	NOUN
ejpam-6660	5	17	of	of	ADP
ejpam-6660	5	18	two	two	NUM
ejpam-6660	5	19	variables	variable	NOUN
ejpam-6660	5	20	.	.	PUNCT
ejpam-6660	6	1	also	also	ADV
ejpam-6660	6	2	,	,	PUNCT
ejpam-6660	6	3	diverse	diverse	ADJ
ejpam-6660	6	4	properties	property	NOUN
ejpam-6660	6	5	and	and	CCONJ
ejpam-6660	6	6	formulae	formulae	VERB
ejpam-6660	6	7	for	for	ADP
ejpam-6660	6	8	these	these	DET
ejpam-6660	6	9	new	new	ADJ
ejpam-6660	6	10	polynomials	polynomial	NOUN
ejpam-6660	6	11	are	be	AUX
ejpam-6660	6	12	investigated	investigate	VERB
ejpam-6660	6	13	and	and	CCONJ
ejpam-6660	6	14	analyzed	analyze	VERB
ejpam-6660	6	15	.	.	PUNCT
ejpam-6660	7	1	then	then	ADV
ejpam-6660	7	2	,	,	PUNCT
ejpam-6660	7	3	some	some	DET
ejpam-6660	7	4	symmetric	symmetric	ADJ
ejpam-6660	7	5	identities	identity	NOUN
ejpam-6660	7	6	and	and	CCONJ
ejpam-6660	7	7	implicit	implicit	ADJ
ejpam-6660	7	8	summation	summation	NOUN
ejpam-6660	7	9	formulae	formulae	NOUN
ejpam-6660	7	10	are	be	AUX
ejpam-6660	7	11	improved	improve	VERB
ejpam-6660	7	12	.	.	PUNCT
ejpam-6660	8	1	the	the	DET
ejpam-6660	8	2	stack	stack	NOUN
ejpam-6660	8	3	of	of	ADP
ejpam-6660	8	4	zeros	zero	NOUN
ejpam-6660	8	5	and	and	CCONJ
ejpam-6660	8	6	surface	surface	NOUN
ejpam-6660	8	7	representations	representation	NOUN
ejpam-6660	8	8	of	of	ADP
ejpam-6660	8	9	generalized	generalized	ADJ
ejpam-6660	8	10	bell	bell	NOUN
ejpam-6660	8	11	-	-	PUNCT
ejpam-6660	8	12	based	base	VERB
ejpam-6660	8	13	frobenius	frobenius	NOUN
ejpam-6660	8	14	-	-	PUNCT
ejpam-6660	8	15	type	type	NOUN
ejpam-6660	8	16	eulerian	eulerian	ADJ
ejpam-6660	8	17	polynomials	polynomial	NOUN
ejpam-6660	8	18	are	be	AUX
ejpam-6660	8	19	given	give	VERB
ejpam-6660	8	20	for	for	ADP
ejpam-6660	8	21	some	some	DET
ejpam-6660	8	22	particular	particular	ADJ
ejpam-6660	8	23	values	value	NOUN
ejpam-6660	8	24	of	of	ADP
ejpam-6660	8	25	the	the	DET
ejpam-6660	8	26	parameters	parameter	NOUN
ejpam-6660	8	27	.	.	PUNCT
ejpam-6660	9	1	2020	2020	NUM
ejpam-6660	9	2	mathematics	mathematic	NOUN
ejpam-6660	9	3	subject	subject	NOUN
ejpam-6660	9	4	classifications	classification	NOUN
ejpam-6660	9	5	:	:	PUNCT
ejpam-6660	9	6	primary	primary	NOUN
ejpam-6660	9	7	11b68	11b68	NUM
ejpam-6660	9	8	,	,	PUNCT
ejpam-6660	9	9	33c45	33c45	NUM
ejpam-6660	9	10	,	,	PUNCT
ejpam-6660	9	11	11y16	11y16	NUM
ejpam-6660	9	12	key	key	ADJ
ejpam-6660	9	13	words	word	NOUN
ejpam-6660	9	14	and	and	CCONJ
ejpam-6660	9	15	phrases	phrase	NOUN
ejpam-6660	9	16	:	:	PUNCT
ejpam-6660	9	17	bell	bell	NOUN
ejpam-6660	9	18	polynomials	polynomial	NOUN
ejpam-6660	9	19	,	,	PUNCT
ejpam-6660	9	20	frobenius	frobenius	ADJ
ejpam-6660	9	21	-	-	PUNCT
ejpam-6660	9	22	type	type	NOUN
ejpam-6660	9	23	eulerian	eulerian	ADJ
ejpam-6660	9	24	polynomials	polynomial	NOUN
ejpam-6660	9	25	,	,	PUNCT
ejpam-6660	9	26	bell	bell	NOUN
ejpam-6660	9	27	-	-	PUNCT
ejpam-6660	9	28	based	base	VERB
ejpam-6660	9	29	frobeniustype	frobeniustype	NOUN
ejpam-6660	9	30	eulerian	eulerian	ADJ
ejpam-6660	9	31	polynomials	polynomial	NOUN
ejpam-6660	9	32	,	,	PUNCT
ejpam-6660	9	33	summation	summation	NOUN
ejpam-6660	9	34	formulae	formulae	NOUN
ejpam-6660	9	35	,	,	PUNCT
ejpam-6660	9	36	symmetric	symmetric	ADJ
ejpam-6660	9	37	identities	identity	NOUN
ejpam-6660	9	38	1	1	NUM
ejpam-6660	9	39	.	.	PUNCT
ejpam-6660	10	1	introduction	introduction	NOUN
ejpam-6660	10	2	and	and	CCONJ
ejpam-6660	10	3	preliminaries	preliminary	NOUN
ejpam-6660	10	4	some	some	DET
ejpam-6660	10	5	different	different	ADJ
ejpam-6660	10	6	ways	way	NOUN
ejpam-6660	10	7	,	,	PUNCT
ejpam-6660	10	8	such	such	ADJ
ejpam-6660	10	9	as	as	ADP
ejpam-6660	10	10	recurrence	recurrence	NOUN
ejpam-6660	10	11	relations	relation	NOUN
ejpam-6660	10	12	,	,	PUNCT
ejpam-6660	10	13	classical	classical	ADJ
ejpam-6660	10	14	and	and	CCONJ
ejpam-6660	10	15	exponential	exponential	ADJ
ejpam-6660	10	16	generating	generating	NOUN
ejpam-6660	10	17	functions	function	NOUN
ejpam-6660	10	18	,	,	PUNCT
ejpam-6660	10	19	p	p	ADJ
ejpam-6660	10	20	-	-	PUNCT
ejpam-6660	10	21	adic	adic	ADJ
ejpam-6660	10	22	integrals	integral	NOUN
ejpam-6660	10	23	,	,	PUNCT
ejpam-6660	10	24	explicit	explicit	ADJ
ejpam-6660	10	25	formulae	formulae	NOUN
ejpam-6660	10	26	,	,	PUNCT
ejpam-6660	10	27	and	and	CCONJ
ejpam-6660	10	28	so	so	ADV
ejpam-6660	10	29	on	on	ADV
ejpam-6660	10	30	,	,	PUNCT
ejpam-6660	10	31	are	be	AUX
ejpam-6660	10	32	used	use	VERB
ejpam-6660	10	33	to	to	PART
ejpam-6660	10	34	represent	represent	VERB
ejpam-6660	10	35	the	the	DET
ejpam-6660	10	36	definitions	definition	NOUN
ejpam-6660	10	37	of	of	ADP
ejpam-6660	10	38	special	special	ADJ
ejpam-6660	10	39	polynomials	polynomial	NOUN
ejpam-6660	10	40	and	and	CCONJ
ejpam-6660	10	41	numbers	number	NOUN
ejpam-6660	10	42	.	.	PUNCT
ejpam-6660	11	1	the	the	DET
ejpam-6660	11	2	most	most	ADV
ejpam-6660	11	3	significant	significant	ADJ
ejpam-6660	11	4	applications	application	NOUN
ejpam-6660	11	5	of	of	ADP
ejpam-6660	11	6	special	special	ADJ
ejpam-6660	11	7	polynomials	polynomial	NOUN
ejpam-6660	11	8	are	be	AUX
ejpam-6660	11	9	involved	involve	VERB
ejpam-6660	11	10	in	in	ADP
ejpam-6660	11	11	the	the	DET
ejpam-6660	11	12	theory	theory	NOUN
ejpam-6660	11	13	of	of	ADP
ejpam-6660	11	14	finite	finite	ADJ
ejpam-6660	11	15	differences	difference	NOUN
ejpam-6660	11	16	,	,	PUNCT
ejpam-6660	11	17	analytic	analytic	ADJ
ejpam-6660	11	18	number	number	NOUN
ejpam-6660	11	19	theory	theory	NOUN
ejpam-6660	11	20	,	,	PUNCT
ejpam-6660	11	21	classical	classical	ADJ
ejpam-6660	11	22	analysis	analysis	NOUN
ejpam-6660	11	23	,	,	PUNCT
ejpam-6660	11	24	and	and	CCONJ
ejpam-6660	11	25	statistics	statistic	NOUN
ejpam-6660	11	26	.	.	PUNCT
ejpam-6660	12	1	the	the	DET
ejpam-6660	12	2	most	most	ADV
ejpam-6660	12	3	famous	famous	ADJ
ejpam-6660	12	4	special	special	ADJ
ejpam-6660	12	5	polynomials	polynomial	NOUN
ejpam-6660	12	6	are	be	AUX
ejpam-6660	12	7	bernoulli	bernoulli	NOUN
ejpam-6660	12	8	[	[	X
ejpam-6660	12	9	1	1	NUM
ejpam-6660	12	10	]	]	PUNCT
ejpam-6660	12	11	,	,	PUNCT
ejpam-6660	12	12	hermite	hermite	PROPN
ejpam-6660	12	13	[	[	X
ejpam-6660	12	14	2	2	NUM
ejpam-6660	12	15	]	]	PUNCT
ejpam-6660	12	16	,	,	PUNCT
ejpam-6660	12	17	euler	euler	NOUN
ejpam-6660	13	1	[	[	X
ejpam-6660	13	2	3	3	NUM
ejpam-6660	13	3	]	]	PUNCT
ejpam-6660	13	4	,	,	PUNCT
ejpam-6660	13	5	bell	bell	NOUN
ejpam-6660	14	1	[	[	X
ejpam-6660	14	2	4	4	NUM
ejpam-6660	14	3	]	]	PUNCT
ejpam-6660	14	4	,	,	PUNCT
ejpam-6660	14	5	frobenius	frobenius	NOUN
ejpam-6660	14	6	-	-	PUNCT
ejpam-6660	14	7	euler	euler	NOUN
ejpam-6660	15	1	[	[	X
ejpam-6660	15	2	5	5	NUM
ejpam-6660	15	3	]	]	PUNCT
ejpam-6660	15	4	,	,	PUNCT
ejpam-6660	15	5	eulerian	eulerian	ADJ
ejpam-6660	15	6	[	[	X
ejpam-6660	15	7	6	6	NUM
ejpam-6660	15	8	]	]	PUNCT
ejpam-6660	15	9	and	and	CCONJ
ejpam-6660	15	10	so	so	ADV
ejpam-6660	15	11	on	on	ADV
ejpam-6660	15	12	and	and	CCONJ
ejpam-6660	15	13	see	see	VERB
ejpam-6660	15	14	the	the	DET
ejpam-6660	15	15	references	reference	NOUN
ejpam-6660	15	16	cited	cite	VERB
ejpam-6660	15	17	therein	therein	ADV
ejpam-6660	15	18	.	.	PUNCT
ejpam-6660	16	1	the	the	DET
ejpam-6660	16	2	eulerian	eulerian	ADJ
ejpam-6660	16	3	polynomials	polynomial	NOUN
ejpam-6660	16	4	appear	appear	VERB
ejpam-6660	16	5	in	in	ADP
ejpam-6660	16	6	combinatorial	combinatorial	ADJ
ejpam-6660	16	7	mathematics	mathematic	NOUN
ejpam-6660	16	8	and	and	CCONJ
ejpam-6660	16	9	play	play	VERB
ejpam-6660	16	10	an	an	DET
ejpam-6660	16	11	important	important	ADJ
ejpam-6660	16	12	role	role	NOUN
ejpam-6660	16	13	in	in	ADP
ejpam-6660	16	14	the	the	DET
ejpam-6660	16	15	theory	theory	NOUN
ejpam-6660	16	16	and	and	CCONJ
ejpam-6660	16	17	applications	application	NOUN
ejpam-6660	16	18	of	of	ADP
ejpam-6660	16	19	mathematics	mathematic	NOUN
ejpam-6660	16	20	.	.	PUNCT
ejpam-6660	17	1	thus	thus	ADV
ejpam-6660	17	2	,	,	PUNCT
ejpam-6660	17	3	many	many	ADJ
ejpam-6660	17	4	number	number	NOUN
ejpam-6660	17	5	theory	theory	NOUN
ejpam-6660	17	6	and	and	CCONJ
ejpam-6660	17	7	combinatorics	combinatoric	NOUN
ejpam-6660	17	8	experts	expert	NOUN
ejpam-6660	17	9	have	have	AUX
ejpam-6660	17	10	extensively	extensively	ADV
ejpam-6660	17	11	studied	study	VERB
ejpam-6660	17	12	their	their	PRON
ejpam-6660	17	13	properties	property	NOUN
ejpam-6660	17	14	and	and	CCONJ
ejpam-6660	17	15	obtained	obtain	VERB
ejpam-6660	17	16	diverse	diverse	ADJ
ejpam-6660	17	17	interesting	interesting	ADJ
ejpam-6660	17	18	results	result	NOUN
ejpam-6660	17	19	[	[	X
ejpam-6660	17	20	7	7	NUM
ejpam-6660	17	21	]	]	PUNCT
ejpam-6660	17	22	.	.	PUNCT
ejpam-6660	18	1	in	in	ADP
ejpam-6660	18	2	recent	recent	ADJ
ejpam-6660	18	3	years	year	NOUN
ejpam-6660	18	4	,	,	PUNCT
ejpam-6660	18	5	bell	bell	NOUN
ejpam-6660	18	6	-	-	PUNCT
ejpam-6660	18	7	based	base	VERB
ejpam-6660	18	8	bernoulli	bernoulli	NOUN
ejpam-6660	18	9	polynomials	polynomial	NOUN
ejpam-6660	18	10	of	of	ADP
ejpam-6660	18	11	order	order	NOUN
ejpam-6660	18	12	α	α	NOUN
ejpam-6660	18	13	in	in	ADP
ejpam-6660	18	14	[	[	X
ejpam-6660	18	15	8	8	NUM
ejpam-6660	18	16	]	]	PUNCT
ejpam-6660	18	17	,	,	PUNCT
ejpam-6660	18	18	bell	bell	NOUN
ejpam-6660	18	19	-	-	PUNCT
ejpam-6660	18	20	based	base	VERB
ejpam-6660	18	21	appell	appell	ADJ
ejpam-6660	18	22	polynomials	polynomial	NOUN
ejpam-6660	18	23	of	of	ADP
ejpam-6660	18	24	order	order	NOUN
ejpam-6660	18	25	α	α	NOUN
ejpam-6660	18	26	in	in	ADP
ejpam-6660	18	27	[	[	X
ejpam-6660	18	28	8	8	NUM
ejpam-6660	18	29	]	]	PUNCT
ejpam-6660	18	30	,	,	PUNCT
ejpam-6660	18	31	and	and	CCONJ
ejpam-6660	18	32	bell	bell	NOUN
ejpam-6660	18	33	-	-	PUNCT
ejpam-6660	18	34	based	base	VERB
ejpam-6660	18	35	frobenius	frobenius	NOUN
ejpam-6660	18	36	-	-	PUNCT
ejpam-6660	18	37	type	type	NOUN
ejpam-6660	18	38	eulerian	eulerian	ADJ
ejpam-6660	18	39	polynomials	polynomial	NOUN
ejpam-6660	18	40	in	in	ADP
ejpam-6660	18	41	complex	complex	ADJ
ejpam-6660	18	42	variables	variable	NOUN
ejpam-6660	18	43	in	in	ADP
ejpam-6660	18	44	[	[	X
ejpam-6660	18	45	9	9	NUM
ejpam-6660	18	46	]	]	PUNCT
ejpam-6660	18	47	have	have	AUX
ejpam-6660	18	48	been	be	AUX
ejpam-6660	18	49	considered	consider	VERB
ejpam-6660	18	50	,	,	PUNCT
ejpam-6660	18	51	and	and	CCONJ
ejpam-6660	18	52	several	several	ADJ
ejpam-6660	18	53	properties	property	NOUN
ejpam-6660	18	54	,	,	PUNCT
ejpam-6660	18	55	applications	application	NOUN
ejpam-6660	18	56	,	,	PUNCT
ejpam-6660	18	57	and	and	CCONJ
ejpam-6660	18	58	relations	relation	NOUN
ejpam-6660	18	59	have	have	AUX
ejpam-6660	18	60	been	be	AUX
ejpam-6660	18	61	investigated	investigate	VERB
ejpam-6660	18	62	.	.	PUNCT
ejpam-6660	19	1	by	by	ADP
ejpam-6660	19	2	motivating	motivate	VERB
ejpam-6660	19	3	and	and	CCONJ
ejpam-6660	19	4	inspiring	inspire	VERB
ejpam-6660	19	5	the	the	DET
ejpam-6660	19	6	above	above	ADJ
ejpam-6660	19	7	studies	study	NOUN
ejpam-6660	19	8	,	,	PUNCT
ejpam-6660	19	9	in	in	ADP
ejpam-6660	19	10	this	this	DET
ejpam-6660	19	11	work	work	NOUN
ejpam-6660	19	12	,	,	PUNCT
ejpam-6660	19	13	we	we	PRON
ejpam-6660	19	14	consider	consider	VERB
ejpam-6660	19	15	bell	bell	NOUN
ejpam-6660	19	16	-	-	PUNCT
ejpam-6660	19	17	based	base	VERB
ejpam-6660	19	18	frobenius	frobenius	NOUN
ejpam-6660	19	19	-	-	PUNCT
ejpam-6660	19	20	type	type	NOUN
ejpam-6660	19	21	eulerian	eulerian	ADJ
ejpam-6660	19	22	polynomials	polynomial	NOUN
ejpam-6660	19	23	of	of	ADP
ejpam-6660	19	24	order	order	NOUN
ejpam-6660	19	25	α	α	NOUN
ejpam-6660	19	26	,	,	PUNCT
ejpam-6660	19	27	and	and	CCONJ
ejpam-6660	19	28	we	we	PRON
ejpam-6660	19	29	then	then	ADV
ejpam-6660	19	30	derive	derive	VERB
ejpam-6660	19	31	multifarious	multifarious	ADJ
ejpam-6660	19	32	relations	relation	NOUN
ejpam-6660	19	33	and	and	CCONJ
ejpam-6660	19	34	identities	identity	NOUN
ejpam-6660	19	35	,	,	PUNCT
ejpam-6660	19	36	including	include	VERB
ejpam-6660	19	37	some	some	DET
ejpam-6660	19	38	summation	summation	NOUN
ejpam-6660	19	39	formulas	formula	NOUN
ejpam-6660	19	40	and	and	CCONJ
ejpam-6660	19	41	derivative	derivative	ADJ
ejpam-6660	19	42	properties	property	NOUN
ejpam-6660	19	43	.	.	PUNCT
ejpam-6660	20	1	also	also	ADV
ejpam-6660	20	2	,	,	PUNCT
ejpam-6660	20	3	we	we	PRON
ejpam-6660	20	4	investigate	investigate	VERB
ejpam-6660	20	5	some	some	DET
ejpam-6660	20	6	implicit	implicit	ADJ
ejpam-6660	20	7	∗corresponding	∗corresponde	VERB
ejpam-6660	20	8	author	author	NOUN
ejpam-6660	20	9	.	.	PUNCT
ejpam-6660	21	1	doi	doi	NOUN
ejpam-6660	21	2	:	:	PUNCT
ejpam-6660	21	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6660	https://doi.org/10.29020/nybg.ejpam.v18i3.6660	X
ejpam-6660	21	4	email	email	NOUN
ejpam-6660	21	5	addresses	address	VERB
ejpam-6660	21	6	:	:	PUNCT
ejpam-6660	21	7	manoj240674@yahoo.co.in	manoj240674@yahoo.co.in	PROPN
ejpam-6660	21	8	(	(	PUNCT
ejpam-6660	21	9	m.	m.	NOUN
ejpam-6660	21	10	sharma	sharma	PROPN
ejpam-6660	21	11	)	)	PUNCT
ejpam-6660	21	12	.	.	PUNCT
ejpam-6660	22	1	wkhan1@pmu.edu.sa	wkhan1@pmu.edu.sa	PROPN
ejpam-6660	22	2	(	(	PUNCT
ejpam-6660	22	3	w.	w.	PROPN
ejpam-6660	22	4	a.	a.	PROPN
ejpam-6660	22	5	khan	khan	PROPN
ejpam-6660	22	6	)	)	PUNCT
ejpam-6660	22	7	,	,	PUNCT
ejpam-6660	22	8	ugur.duran@iste.edu.tr	ugur.duran@iste.edu.tr	PROPN
ejpam-6660	22	9	(	(	PUNCT
ejpam-6660	22	10	u.	u.	PROPN
ejpam-6660	22	11	duran	duran	PROPN
ejpam-6660	22	12	)	)	PUNCT
ejpam-6660	22	13	,	,	PUNCT
ejpam-6660	22	14	mohdfarmanali@gmail.com	mohdfarmanali@gmail.com	PROPN
ejpam-6660	22	15	(	(	PUNCT
ejpam-6660	22	16	m.	m.	PROPN
ejpam-6660	22	17	f.	f.	PROPN
ejpam-6660	22	18	ali	ali	PROPN
ejpam-6660	22	19	)	)	PUNCT
ejpam-6660	22	20	,	,	PUNCT
ejpam-6660	22	21	asharma2@gwa.amity.edu.in	asharma2@gwa.amity.edu.in	PROPN
ejpam-6660	22	22	(	(	PUNCT
ejpam-6660	22	23	a.	a.	NOUN
ejpam-6660	22	24	sharma	sharma	PROPN
ejpam-6660	22	25	)	)	PUNCT
ejpam-6660	22	26	,	,	PUNCT
ejpam-6660	22	27	,	,	PUNCT
ejpam-6660	22	28	anupmasinghjpa@gmail.com	anupmasinghjpa@gmail.com	X
ejpam-6660	22	29	(	(	PUNCT
ejpam-6660	22	30	a.	a.	NOUN
ejpam-6660	22	31	kumari	kumari	PROPN
ejpam-6660	22	32	)	)	PUNCT
ejpam-6660	22	33	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6660	22	34	1	1	NUM
ejpam-6660	22	35	copyright	copyright	NOUN
ejpam-6660	22	36	:	:	PUNCT
ejpam-6660	22	37	©	©	PROPN
ejpam-6660	22	38	2025	2025	NUM
ejpam-6660	22	39	the	the	DET
ejpam-6660	22	40	author(s	author(s	NOUN
ejpam-6660	22	41	)	)	PUNCT
ejpam-6660	22	42	.	.	PUNCT
ejpam-6660	23	1	(	(	PUNCT
ejpam-6660	23	2	cc	cc	NOUN
ejpam-6660	23	3	by	by	ADP
ejpam-6660	23	4	-	-	PUNCT
ejpam-6660	23	5	nc	nc	PROPN
ejpam-6660	23	6	4.0	4.0	NUM
ejpam-6660	23	7	)	)	PUNCT
ejpam-6660	23	8	m.	m.	NOUN
ejpam-6660	23	9	sharma	sharma	PROPN
ejpam-6660	23	10	et	et	PROPN
ejpam-6660	23	11	al	al	PROPN
ejpam-6660	23	12	.	.	PUNCT
ejpam-6660	23	13	/	/	SYM
ejpam-6660	23	14	eur	eur	PROPN
ejpam-6660	23	15	.	.	PUNCT
ejpam-6660	24	1	j.	j.	PROPN
ejpam-6660	24	2	pure	pure	PROPN
ejpam-6660	24	3	appl	appl	PROPN
ejpam-6660	24	4	.	.	PROPN
ejpam-6660	24	5	math	math	PROPN
ejpam-6660	24	6	,	,	PUNCT
ejpam-6660	24	7	18	18	NUM
ejpam-6660	24	8	(	(	PUNCT
ejpam-6660	24	9	3	3	NUM
ejpam-6660	24	10	)	)	PUNCT
ejpam-6660	24	11	(	(	PUNCT
ejpam-6660	24	12	2025	2025	NUM
ejpam-6660	24	13	)	)	PUNCT
ejpam-6660	24	14	,	,	PUNCT
ejpam-6660	24	15	6660	6660	NUM
ejpam-6660	24	16	2	2	NUM
ejpam-6660	24	17	of	of	ADP
ejpam-6660	24	18	19	19	NUM
ejpam-6660	24	19	summation	summation	NOUN
ejpam-6660	24	20	formulas	formula	NOUN
ejpam-6660	24	21	and	and	CCONJ
ejpam-6660	24	22	symmetric	symmetric	ADJ
ejpam-6660	24	23	identities	identity	NOUN
ejpam-6660	24	24	for	for	ADP
ejpam-6660	24	25	bell	bell	NOUN
ejpam-6660	24	26	-	-	PUNCT
ejpam-6660	24	27	based	base	VERB
ejpam-6660	24	28	frobenius	frobenius	NOUN
ejpam-6660	24	29	-	-	PUNCT
ejpam-6660	24	30	type	type	NOUN
ejpam-6660	24	31	eulerian	eulerian	ADJ
ejpam-6660	24	32	polynomials	polynomial	NOUN
ejpam-6660	24	33	of	of	ADP
ejpam-6660	24	34	order	order	NOUN
ejpam-6660	24	35	α	α	NOUN
ejpam-6660	24	36	.	.	PUNCT
ejpam-6660	25	1	furthermore	furthermore	ADV
ejpam-6660	25	2	,	,	PUNCT
ejpam-6660	25	3	we	we	PRON
ejpam-6660	25	4	provide	provide	VERB
ejpam-6660	25	5	the	the	DET
ejpam-6660	25	6	stack	stack	NOUN
ejpam-6660	25	7	of	of	ADP
ejpam-6660	25	8	zeros	zero	NOUN
ejpam-6660	25	9	and	and	CCONJ
ejpam-6660	25	10	surface	surface	NOUN
ejpam-6660	25	11	representations	representation	NOUN
ejpam-6660	25	12	of	of	ADP
ejpam-6660	25	13	a	a	DET
ejpam-6660	25	14	generalized	generalized	ADJ
ejpam-6660	25	15	bell	bell	NOUN
ejpam-6660	25	16	-	-	PUNCT
ejpam-6660	25	17	based	base	VERB
ejpam-6660	25	18	frobenius	frobenius	NOUN
ejpam-6660	25	19	-	-	PUNCT
ejpam-6660	25	20	type	type	NOUN
ejpam-6660	25	21	eulerian	eulerian	ADJ
ejpam-6660	25	22	polynomials	polynomial	NOUN
ejpam-6660	25	23	for	for	ADP
ejpam-6660	25	24	some	some	DET
ejpam-6660	25	25	particular	particular	ADJ
ejpam-6660	25	26	values	value	NOUN
ejpam-6660	25	27	of	of	ADP
ejpam-6660	25	28	the	the	DET
ejpam-6660	25	29	parameters	parameter	NOUN
ejpam-6660	25	30	.	.	PUNCT
ejpam-6660	26	1	the	the	DET
ejpam-6660	26	2	apostol	apostol	NOUN
ejpam-6660	26	3	-	-	PUNCT
ejpam-6660	26	4	type	type	NOUN
ejpam-6660	26	5	bernoulli	bernoulli	PROPN
ejpam-6660	26	6	,	,	PUNCT
ejpam-6660	26	7	euler	euler	NOUN
ejpam-6660	26	8	and	and	CCONJ
ejpam-6660	26	9	genocchi	genocchi	PROPN
ejpam-6660	26	10	polynomials	polynomial	NOUN
ejpam-6660	26	11	of	of	ADP
ejpam-6660	26	12	order	order	NOUN
ejpam-6660	26	13	α	α	NOUN
ejpam-6660	26	14	are	be	AUX
ejpam-6660	26	15	defined	define	VERB
ejpam-6660	26	16	by	by	ADP
ejpam-6660	26	17	[	[	X
ejpam-6660	26	18	10–12	10–12	NUM
ejpam-6660	26	19	]	]	X
ejpam-6660	26	20	:(	:(	PUNCT
ejpam-6660	26	21	ζ	ζ	PROPN
ejpam-6660	26	22	µeζ	µeζ	PROPN
ejpam-6660	26	23	−	−	NOUN
ejpam-6660	26	24	1	1	NUM
ejpam-6660	26	25	)	)	PUNCT
ejpam-6660	26	26	α	α	NOUN
ejpam-6660	26	27	eσζ	eσζ	NOUN
ejpam-6660	26	28	=	=	SYM
ejpam-6660	26	29	∞∑	∞∑	NUM
ejpam-6660	26	30	ε=0	ε=0	X
ejpam-6660	26	31	b(α	b(α	NOUN
ejpam-6660	26	32	)	)	PUNCT
ejpam-6660	26	33	ε	ε	PROPN
ejpam-6660	26	34	(	(	PUNCT
ejpam-6660	26	35	σ;µ	σ;µ	PROPN
ejpam-6660	26	36	)	)	PUNCT
ejpam-6660	26	37	ζε	ζε	X
ejpam-6660	26	38	ε	ε	PROPN
ejpam-6660	26	39	!	!	PUNCT
ejpam-6660	26	40	for	for	ADP
ejpam-6660	26	41	|	|	ADV
ejpam-6660	26	42	ζ	ζ	NOUN
ejpam-6660	26	43	+	+	NUM
ejpam-6660	26	44	logµ	logµ	NOUN
ejpam-6660	26	45	|	|	NOUN
ejpam-6660	26	46	<	<	X
ejpam-6660	26	47	2π	2π	NOUN
ejpam-6660	26	48	,	,	PUNCT
ejpam-6660	26	49	(	(	PUNCT
ejpam-6660	26	50	1	1	X
ejpam-6660	26	51	)	)	PUNCT
ejpam-6660	26	52	(	(	PUNCT
ejpam-6660	26	53	2	2	NUM
ejpam-6660	26	54	µeζ	µeζ	NOUN
ejpam-6660	26	55	+	+	NOUN
ejpam-6660	26	56	1	1	X
ejpam-6660	26	57	)	)	PUNCT
ejpam-6660	26	58	α	α	NOUN
ejpam-6660	26	59	eσζ	eσζ	NOUN
ejpam-6660	26	60	=	=	NOUN
ejpam-6660	26	61	∞∑	∞∑	NUM
ejpam-6660	26	62	ε=0	ε=0	X
ejpam-6660	26	63	e(α	e(α	NUM
ejpam-6660	26	64	)	)	PUNCT
ejpam-6660	26	65	ε	ε	PROPN
ejpam-6660	26	66	(	(	PUNCT
ejpam-6660	26	67	σ;µ	σ;µ	PROPN
ejpam-6660	26	68	)	)	PUNCT
ejpam-6660	26	69	ζε	ζε	X
ejpam-6660	26	70	ε	ε	PROPN
ejpam-6660	26	71	!	!	PUNCT
ejpam-6660	27	1	for	for	ADP
ejpam-6660	27	2	|	|	ADV
ejpam-6660	27	3	ζ	ζ	NOUN
ejpam-6660	27	4	+	+	NUM
ejpam-6660	27	5	logµ	logµ	NOUN
ejpam-6660	27	6	|	|	NOUN
ejpam-6660	27	7	<	<	X
ejpam-6660	27	8	π	π	PROPN
ejpam-6660	27	9	,	,	PUNCT
ejpam-6660	27	10	(	(	PUNCT
ejpam-6660	27	11	2	2	NUM
ejpam-6660	27	12	)	)	PUNCT
ejpam-6660	27	13	and	and	CCONJ
ejpam-6660	27	14	(	(	PUNCT
ejpam-6660	27	15	2ζ	2ζ	NUM
ejpam-6660	27	16	µeζ	µeζ	PROPN
ejpam-6660	27	17	+	+	NOUN
ejpam-6660	27	18	1	1	X
ejpam-6660	27	19	)	)	PUNCT
ejpam-6660	27	20	α	α	NOUN
ejpam-6660	27	21	eσζ	eσζ	NOUN
ejpam-6660	27	22	=	=	SYM
ejpam-6660	27	23	∞∑	∞∑	NUM
ejpam-6660	27	24	ε=0	ε=0	X
ejpam-6660	27	25	g(α	g(α	PROPN
ejpam-6660	27	26	)	)	PUNCT
ejpam-6660	27	27	ε	ε	PROPN
ejpam-6660	27	28	(	(	PUNCT
ejpam-6660	27	29	σ;µ	σ;µ	PROPN
ejpam-6660	27	30	)	)	PUNCT
ejpam-6660	27	31	ζε	ζε	X
ejpam-6660	27	32	ε	ε	PROPN
ejpam-6660	27	33	!	!	PUNCT
ejpam-6660	28	1	for	for	ADP
ejpam-6660	28	2	|	|	ADV
ejpam-6660	28	3	ζ	ζ	NOUN
ejpam-6660	28	4	+	+	CCONJ
ejpam-6660	28	5	log	log	NOUN
ejpam-6660	28	6	µ	µ	X
ejpam-6660	28	7	|	|	NOUN
ejpam-6660	28	8	<	<	X
ejpam-6660	28	9	π	π	PROPN
ejpam-6660	28	10	,	,	PUNCT
ejpam-6660	28	11	(	(	PUNCT
ejpam-6660	28	12	3	3	X
ejpam-6660	28	13	)	)	PUNCT
ejpam-6660	28	14	respectively	respectively	ADV
ejpam-6660	28	15	.	.	PUNCT
ejpam-6660	29	1	it	it	PRON
ejpam-6660	29	2	is	be	AUX
ejpam-6660	29	3	seen	see	VERB
ejpam-6660	29	4	that	that	SCONJ
ejpam-6660	29	5	b(α	b(α	NOUN
ejpam-6660	29	6	)	)	PUNCT
ejpam-6660	29	7	ε	ε	PROPN
ejpam-6660	29	8	(	(	PUNCT
ejpam-6660	29	9	0;µ	0;µ	PROPN
ejpam-6660	29	10	)	)	PUNCT
ejpam-6660	29	11	:	:	PUNCT
ejpam-6660	29	12	=	=	SYM
ejpam-6660	29	13	b(α	b(α	X
ejpam-6660	29	14	)	)	PUNCT
ejpam-6660	29	15	ε	ε	PROPN
ejpam-6660	29	16	(	(	PUNCT
ejpam-6660	29	17	µ),e(α	µ),e(α	PROPN
ejpam-6660	29	18	)	)	PUNCT
ejpam-6660	29	19	ε	ε	PROPN
ejpam-6660	29	20	(	(	PUNCT
ejpam-6660	29	21	0;µ	0;µ	PROPN
ejpam-6660	29	22	)	)	PUNCT
ejpam-6660	29	23	:	:	PUNCT
ejpam-6660	29	24	=	=	SYM
ejpam-6660	29	25	e(α	e(α	PROPN
ejpam-6660	29	26	)	)	PUNCT
ejpam-6660	29	27	ε	ε	PROPN
ejpam-6660	29	28	(	(	PUNCT
ejpam-6660	29	29	µ	µ	NOUN
ejpam-6660	29	30	)	)	PUNCT
ejpam-6660	29	31	and	and	CCONJ
ejpam-6660	29	32	g(α	g(α	PROPN
ejpam-6660	29	33	)	)	PUNCT
ejpam-6660	29	34	ε	ε	PROPN
ejpam-6660	29	35	(	(	PUNCT
ejpam-6660	29	36	0;µ	0;µ	PROPN
ejpam-6660	29	37	)	)	PUNCT
ejpam-6660	29	38	:	:	PUNCT
ejpam-6660	29	39	=	=	PUNCT
ejpam-6660	29	40	g(α	g(α	PROPN
ejpam-6660	29	41	)	)	PUNCT
ejpam-6660	29	42	ε	ε	PROPN
ejpam-6660	29	43	(	(	PUNCT
ejpam-6660	29	44	µ	µ	NOUN
ejpam-6660	29	45	)	)	PUNCT
ejpam-6660	29	46	,	,	PUNCT
ejpam-6660	29	47	are	be	AUX
ejpam-6660	29	48	the	the	DET
ejpam-6660	29	49	corresponding	corresponding	ADJ
ejpam-6660	29	50	numbers	number	NOUN
ejpam-6660	29	51	of	of	ADP
ejpam-6660	29	52	the	the	DET
ejpam-6660	29	53	apostol	apostol	NOUN
ejpam-6660	29	54	-	-	PUNCT
ejpam-6660	29	55	type	type	NOUN
ejpam-6660	29	56	bernoulli	bernoulli	PROPN
ejpam-6660	29	57	,	,	PUNCT
ejpam-6660	29	58	euler	euler	NOUN
ejpam-6660	29	59	,	,	PUNCT
ejpam-6660	29	60	and	and	CCONJ
ejpam-6660	29	61	genocchi	genocchi	PROPN
ejpam-6660	29	62	polynomials	polynomial	NOUN
ejpam-6660	29	63	of	of	ADP
ejpam-6660	29	64	order	order	NOUN
ejpam-6660	29	65	α	α	NOUN
ejpam-6660	29	66	,	,	PUNCT
ejpam-6660	29	67	respectively	respectively	ADV
ejpam-6660	29	68	.	.	PUNCT
ejpam-6660	30	1	also	also	ADV
ejpam-6660	30	2	,	,	PUNCT
ejpam-6660	30	3	note	note	VERB
ejpam-6660	30	4	that	that	SCONJ
ejpam-6660	30	5	b(1	b(1	PROPN
ejpam-6660	30	6	)	)	PUNCT
ejpam-6660	30	7	ε	ε	PROPN
ejpam-6660	30	8	(	(	PUNCT
ejpam-6660	30	9	σ;µ	σ;µ	PROPN
ejpam-6660	30	10	)	)	PUNCT
ejpam-6660	30	11	:	:	PUNCT
ejpam-6660	30	12	=	=	SYM
ejpam-6660	30	13	bε(σ;µ	bε(σ;µ	PROPN
ejpam-6660	30	14	)	)	PUNCT
ejpam-6660	30	15	,	,	PUNCT
ejpam-6660	30	16	e(1	e(1	PROPN
ejpam-6660	30	17	)	)	PUNCT
ejpam-6660	30	18	ε	ε	PROPN
ejpam-6660	30	19	(	(	PUNCT
ejpam-6660	30	20	σ;µ	σ;µ	PROPN
ejpam-6660	30	21	)	)	PUNCT
ejpam-6660	30	22	:	:	PUNCT
ejpam-6660	30	23	=	=	SYM
ejpam-6660	30	24	eε(σ;µ	eε(σ;µ	PROPN
ejpam-6660	30	25	)	)	PUNCT
ejpam-6660	30	26	and	and	CCONJ
ejpam-6660	30	27	g(1	g(1	PROPN
ejpam-6660	30	28	)	)	PUNCT
ejpam-6660	30	29	ε	ε	PROPN
ejpam-6660	30	30	(	(	PUNCT
ejpam-6660	30	31	σ;µ	σ;µ	PROPN
ejpam-6660	30	32	)	)	PUNCT
ejpam-6660	30	33	:	:	PUNCT
ejpam-6660	30	34	=	=	PUNCT
ejpam-6660	30	35	gε(σ;µ	gε(σ;µ	PROPN
ejpam-6660	30	36	)	)	PUNCT
ejpam-6660	30	37	.	.	PUNCT
ejpam-6660	31	1	for	for	ADP
ejpam-6660	31	2	ε	ε	PROPN
ejpam-6660	31	3	≥	≥	PROPN
ejpam-6660	31	4	0	0	NUM
ejpam-6660	31	5	,	,	PUNCT
ejpam-6660	31	6	the	the	DET
ejpam-6660	31	7	first	first	ADJ
ejpam-6660	31	8	kind	kind	NOUN
ejpam-6660	31	9	of	of	ADP
ejpam-6660	31	10	stirling	stirling	NOUN
ejpam-6660	31	11	numbers	number	NOUN
ejpam-6660	31	12	are	be	AUX
ejpam-6660	31	13	defined	define	VERB
ejpam-6660	31	14	by	by	ADP
ejpam-6660	31	15	the	the	DET
ejpam-6660	31	16	following	follow	VERB
ejpam-6660	31	17	summation	summation	NOUN
ejpam-6660	31	18	formula	formula	NOUN
ejpam-6660	31	19	[	[	X
ejpam-6660	31	20	13–17	13–17	NUM
ejpam-6660	31	21	]	]	PUNCT
ejpam-6660	31	22	:	:	PUNCT
ejpam-6660	31	23	(	(	PUNCT
ejpam-6660	31	24	σ)ε	σ)ε	ADJ
ejpam-6660	31	25	=	=	SYM
ejpam-6660	31	26	ε∑	ε∑	X
ejpam-6660	31	27	θ=0	θ=0	PROPN
ejpam-6660	31	28	s1(ε	s1(ε	PROPN
ejpam-6660	31	29	,	,	PUNCT
ejpam-6660	31	30	θ)σ	θ)σ	X
ejpam-6660	31	31	θ	θ	NOUN
ejpam-6660	31	32	,	,	PUNCT
ejpam-6660	31	33	(	(	PUNCT
ejpam-6660	31	34	4	4	NUM
ejpam-6660	31	35	)	)	PUNCT
ejpam-6660	32	1	where	where	SCONJ
ejpam-6660	32	2	(	(	PUNCT
ejpam-6660	32	3	σ)0	σ)0	NOUN
ejpam-6660	32	4	=	=	SYM
ejpam-6660	32	5	1	1	NUM
ejpam-6660	32	6	,	,	PUNCT
ejpam-6660	32	7	and	and	CCONJ
ejpam-6660	32	8	(	(	PUNCT
ejpam-6660	32	9	σ)ε	σ)ε	ADJ
ejpam-6660	32	10	=	=	SYM
ejpam-6660	32	11	σ(σ−1	σ(σ−1	X
ejpam-6660	32	12	)	)	PUNCT
ejpam-6660	32	13	·	·	PUNCT
ejpam-6660	32	14	·	·	PUNCT
ejpam-6660	32	15	·	·	PUNCT
ejpam-6660	32	16	(	(	PUNCT
ejpam-6660	32	17	σ−	σ−	NOUN
ejpam-6660	32	18	ε+1	ε+1	NOUN
ejpam-6660	32	19	)	)	PUNCT
ejpam-6660	32	20	(	(	PUNCT
ejpam-6660	32	21	ε	ε	PROPN
ejpam-6660	32	22	≥	≥	NUM
ejpam-6660	32	23	1	1	NUM
ejpam-6660	32	24	)	)	PUNCT
ejpam-6660	32	25	.	.	PUNCT
ejpam-6660	33	1	also	also	ADV
ejpam-6660	33	2	s1(ε	s1(ε	PROPN
ejpam-6660	33	3	,	,	PUNCT
ejpam-6660	33	4	δ	δ	PROPN
ejpam-6660	33	5	)	)	PUNCT
ejpam-6660	33	6	can	can	AUX
ejpam-6660	33	7	be	be	AUX
ejpam-6660	33	8	represented	represent	VERB
ejpam-6660	33	9	by	by	ADP
ejpam-6660	33	10	the	the	DET
ejpam-6660	33	11	following	follow	VERB
ejpam-6660	33	12	generation	generation	NOUN
ejpam-6660	33	13	function	function	NOUN
ejpam-6660	33	14	:	:	PUNCT
ejpam-6660	33	15	1	1	NUM
ejpam-6660	33	16	δ	δ	X
ejpam-6660	33	17	!	!	PUNCT
ejpam-6660	34	1	(	(	PUNCT
ejpam-6660	34	2	log(1	log(1	NOUN
ejpam-6660	34	3	+	+	NUM
ejpam-6660	34	4	ζ))δ	ζ))δ	NOUN
ejpam-6660	34	5	=	=	NUM
ejpam-6660	34	6	∞∑	∞∑	NUM
ejpam-6660	34	7	ε	ε	PROPN
ejpam-6660	34	8	=	=	PROPN
ejpam-6660	34	9	δ	δ	NOUN
ejpam-6660	34	10	s1(ε	s1(ε	PROPN
ejpam-6660	34	11	,	,	PUNCT
ejpam-6660	34	12	δ	δ	PROPN
ejpam-6660	34	13	)	)	PUNCT
ejpam-6660	34	14	ζε	ζε	PROPN
ejpam-6660	34	15	ε	ε	PROPN
ejpam-6660	34	16	!	!	PUNCT
ejpam-6660	35	1	(	(	PUNCT
ejpam-6660	35	2	δ	δ	PROPN
ejpam-6660	35	3	≥	≥	NOUN
ejpam-6660	35	4	0	0	NUM
ejpam-6660	35	5	)	)	PUNCT
ejpam-6660	35	6	.	.	PUNCT
ejpam-6660	36	1	(	(	PUNCT
ejpam-6660	36	2	5	5	X
ejpam-6660	36	3	)	)	PUNCT
ejpam-6660	36	4	similar	similar	ADJ
ejpam-6660	36	5	to	to	ADP
ejpam-6660	36	6	that	that	PRON
ejpam-6660	36	7	of	of	ADP
ejpam-6660	36	8	s1(ε	s1(ε	PROPN
ejpam-6660	36	9	,	,	PUNCT
ejpam-6660	36	10	δ	δ	PROPN
ejpam-6660	36	11	)	)	PUNCT
ejpam-6660	36	12	,	,	PUNCT
ejpam-6660	36	13	for	for	ADP
ejpam-6660	36	14	ε	ε	PROPN
ejpam-6660	36	15	≥	≥	PROPN
ejpam-6660	36	16	0	0	NUM
ejpam-6660	36	17	,	,	PUNCT
ejpam-6660	36	18	the	the	DET
ejpam-6660	36	19	second	second	ADJ
ejpam-6660	36	20	kind	kind	NOUN
ejpam-6660	36	21	of	of	ADP
ejpam-6660	36	22	stirling	stirling	NOUN
ejpam-6660	36	23	numbers	number	NOUN
ejpam-6660	36	24	are	be	AUX
ejpam-6660	36	25	defined	define	VERB
ejpam-6660	36	26	in	in	ADP
ejpam-6660	36	27	the	the	DET
ejpam-6660	36	28	following	follow	VERB
ejpam-6660	36	29	two	two	NUM
ejpam-6660	36	30	different	different	ADJ
ejpam-6660	36	31	ways	way	NOUN
ejpam-6660	36	32	[	[	X
ejpam-6660	36	33	18	18	NUM
ejpam-6660	36	34	,	,	PUNCT
ejpam-6660	36	35	19	19	NUM
ejpam-6660	36	36	]	]	PUNCT
ejpam-6660	36	37	:	:	PUNCT
ejpam-6660	36	38	σε	σε	X
ejpam-6660	36	39	=	=	SYM
ejpam-6660	36	40	ε∑	ε∑	PRON
ejpam-6660	36	41	δ=0	δ=0	PROPN
ejpam-6660	36	42	s2(ε	s2(ε	PROPN
ejpam-6660	36	43	,	,	PUNCT
ejpam-6660	36	44	δ)(σ)δ	δ)(σ)δ	PRON
ejpam-6660	36	45	.	.	PUNCT
ejpam-6660	37	1	(	(	PUNCT
ejpam-6660	37	2	6	6	NUM
ejpam-6660	37	3	)	)	PUNCT
ejpam-6660	37	4	and	and	CCONJ
ejpam-6660	37	5	1	1	NUM
ejpam-6660	37	6	δ	δ	NOUN
ejpam-6660	37	7	!	!	PUNCT
ejpam-6660	38	1	(	(	PUNCT
ejpam-6660	38	2	eζ	eζ	ADP
ejpam-6660	38	3	−	−	PROPN
ejpam-6660	38	4	1)δ	1)δ	NUM
ejpam-6660	38	5	=	=	PUNCT
ejpam-6660	38	6	∞∑	∞∑	NUM
ejpam-6660	38	7	ε	ε	PROPN
ejpam-6660	38	8	=	=	PROPN
ejpam-6660	38	9	δ	δ	PROPN
ejpam-6660	38	10	s2(ε	s2(ε	PROPN
ejpam-6660	38	11	,	,	PUNCT
ejpam-6660	38	12	δ	δ	PROPN
ejpam-6660	38	13	)	)	PUNCT
ejpam-6660	38	14	ζε	ζε	PROPN
ejpam-6660	38	15	ε	ε	PROPN
ejpam-6660	38	16	!	!	PUNCT
ejpam-6660	38	17	.	.	PUNCT
ejpam-6660	39	1	(	(	PUNCT
ejpam-6660	39	2	7	7	X
ejpam-6660	39	3	)	)	PUNCT
ejpam-6660	39	4	the	the	DET
ejpam-6660	39	5	second	second	ADJ
ejpam-6660	39	6	kind	kind	NOUN
ejpam-6660	39	7	r	r	NOUN
ejpam-6660	39	8	-	-	PUNCT
ejpam-6660	39	9	stirling	stirling	NOUN
ejpam-6660	39	10	numbers	number	NOUN
ejpam-6660	39	11	sr(ε	sr(ε	NOUN
ejpam-6660	39	12	,	,	PUNCT
ejpam-6660	39	13	δ	δ	PROPN
ejpam-6660	39	14	)	)	PUNCT
ejpam-6660	39	15	are	be	AUX
ejpam-6660	39	16	given	give	VERB
ejpam-6660	39	17	by	by	ADP
ejpam-6660	39	18	[	[	X
ejpam-6660	39	19	9	9	NUM
ejpam-6660	39	20	,	,	PUNCT
ejpam-6660	39	21	20	20	NUM
ejpam-6660	39	22	]	]	SYM
ejpam-6660	39	23	:	:	PUNCT
ejpam-6660	39	24	1	1	NUM
ejpam-6660	39	25	δ	δ	NOUN
ejpam-6660	39	26	!	!	PUNCT
ejpam-6660	39	27	erζ(eζ	erζ(eζ	PROPN
ejpam-6660	40	1	−	−	PROPN
ejpam-6660	40	2	1)δ	1)δ	NUM
ejpam-6660	40	3	=	=	PUNCT
ejpam-6660	40	4	∞∑	∞∑	NUM
ejpam-6660	40	5	ε	ε	PROPN
ejpam-6660	40	6	=	=	SYM
ejpam-6660	40	7	δ	δ	PROPN
ejpam-6660	40	8	sr(ε+	sr(ε+	ADP
ejpam-6660	40	9	r	r	PROPN
ejpam-6660	40	10	,	,	PUNCT
ejpam-6660	40	11	δ	δ	PROPN
ejpam-6660	40	12	+	+	CCONJ
ejpam-6660	40	13	r	r	X
ejpam-6660	40	14	)	)	PUNCT
ejpam-6660	40	15	ζε	ζε	X
ejpam-6660	40	16	ε	ε	PROPN
ejpam-6660	40	17	!	!	PUNCT
ejpam-6660	40	18	.	.	PUNCT
ejpam-6660	41	1	(	(	PUNCT
ejpam-6660	41	2	8)	8)	NUM
ejpam-6660	41	3	the	the	DET
ejpam-6660	41	4	second	second	ADJ
ejpam-6660	41	5	kind	kind	NOUN
ejpam-6660	41	6	r	r	NOUN
ejpam-6660	41	7	-	-	PUNCT
ejpam-6660	41	8	whitney	whitney	NOUN
ejpam-6660	41	9	numbers	number	NOUN
ejpam-6660	41	10	wτ	wτ	PROPN
ejpam-6660	41	11	,	,	PUNCT
ejpam-6660	41	12	r(ε	r(ε	PROPN
ejpam-6660	41	13	,	,	PUNCT
ejpam-6660	41	14	δ	δ	PROPN
ejpam-6660	41	15	)	)	PUNCT
ejpam-6660	41	16	,	,	PUNCT
ejpam-6660	41	17	for	for	ADP
ejpam-6660	41	18	any	any	DET
ejpam-6660	41	19	positive	positive	ADJ
ejpam-6660	41	20	integer	integer	NOUN
ejpam-6660	41	21	τ	τ	PROPN
ejpam-6660	41	22	,	,	PUNCT
ejpam-6660	41	23	are	be	AUX
ejpam-6660	41	24	provided	provide	VERB
ejpam-6660	41	25	by	by	ADP
ejpam-6660	41	26	[	[	X
ejpam-6660	41	27	21	21	NUM
ejpam-6660	41	28	]	]	X
ejpam-6660	41	29	:	:	PUNCT
ejpam-6660	41	30	1	1	NUM
ejpam-6660	41	31	τ	τ	X
ejpam-6660	41	32	δδ	δδ	PROPN
ejpam-6660	41	33	!	!	PUNCT
ejpam-6660	41	34	erζ(eτσ	erζ(eτσ	PROPN
ejpam-6660	42	1	−	−	NOUN
ejpam-6660	42	2	1)δ	1)δ	NUM
ejpam-6660	42	3	=	=	PUNCT
ejpam-6660	42	4	∞∑	∞∑	NUM
ejpam-6660	42	5	ε	ε	PROPN
ejpam-6660	42	6	=	=	SYM
ejpam-6660	42	7	δ	δ	PROPN
ejpam-6660	42	8	wτ	wτ	PROPN
ejpam-6660	42	9	,	,	PUNCT
ejpam-6660	42	10	r(ε	r(ε	PROPN
ejpam-6660	42	11	,	,	PUNCT
ejpam-6660	42	12	δ	δ	PROPN
ejpam-6660	42	13	)	)	PUNCT
ejpam-6660	42	14	ζε	ζε	PROPN
ejpam-6660	42	15	ε	ε	PROPN
ejpam-6660	42	16	!	!	PUNCT
ejpam-6660	42	17	.	.	PUNCT
ejpam-6660	43	1	(	(	PUNCT
ejpam-6660	43	2	9	9	X
ejpam-6660	43	3	)	)	PUNCT
ejpam-6660	43	4	m.	m.	NOUN
ejpam-6660	43	5	sharma	sharma	PROPN
ejpam-6660	43	6	et	et	PROPN
ejpam-6660	43	7	al	al	PROPN
ejpam-6660	43	8	.	.	PUNCT
ejpam-6660	43	9	/	/	SYM
ejpam-6660	43	10	eur	eur	PROPN
ejpam-6660	43	11	.	.	PUNCT
ejpam-6660	44	1	j.	j.	PROPN
ejpam-6660	44	2	pure	pure	PROPN
ejpam-6660	44	3	appl	appl	PROPN
ejpam-6660	44	4	.	.	PROPN
ejpam-6660	44	5	math	math	PROPN
ejpam-6660	44	6	,	,	PUNCT
ejpam-6660	44	7	18	18	NUM
ejpam-6660	44	8	(	(	PUNCT
ejpam-6660	44	9	3	3	NUM
ejpam-6660	44	10	)	)	PUNCT
ejpam-6660	44	11	(	(	PUNCT
ejpam-6660	44	12	2025	2025	NUM
ejpam-6660	44	13	)	)	PUNCT
ejpam-6660	44	14	,	,	PUNCT
ejpam-6660	44	15	6660	6660	NUM
ejpam-6660	44	16	3	3	NUM
ejpam-6660	44	17	of	of	ADP
ejpam-6660	44	18	19	19	NUM
ejpam-6660	44	19	the	the	DET
ejpam-6660	44	20	bell	bell	PROPN
ejpam-6660	44	21	polynomials	polynomial	NOUN
ejpam-6660	44	22	belε(σ	belε(σ	NOUN
ejpam-6660	44	23	)	)	PUNCT
ejpam-6660	44	24	are	be	AUX
ejpam-6660	44	25	defined	define	VERB
ejpam-6660	44	26	by	by	ADP
ejpam-6660	44	27	[	[	X
ejpam-6660	44	28	4	4	NUM
ejpam-6660	44	29	]	]	PUNCT
ejpam-6660	44	30	:	:	PUNCT
ejpam-6660	44	31	eσ(e	eσ(e	X
ejpam-6660	44	32	ζ−1	ζ−1	PROPN
ejpam-6660	44	33	)	)	PUNCT
ejpam-6660	44	34	=	=	PUNCT
ejpam-6660	45	1	∞∑	∞∑	NUM
ejpam-6660	45	2	ε=0	ε=0	ADJ
ejpam-6660	45	3	belε(σ	belε(σ	NOUN
ejpam-6660	45	4	)	)	PUNCT
ejpam-6660	45	5	ζε	ζε	X
ejpam-6660	45	6	ε	ε	PROPN
ejpam-6660	45	7	!	!	PUNCT
ejpam-6660	45	8	.	.	PUNCT
ejpam-6660	46	1	(	(	PUNCT
ejpam-6660	46	2	10	10	NUM
ejpam-6660	46	3	)	)	PUNCT
ejpam-6660	46	4	when	when	SCONJ
ejpam-6660	46	5	σ	σ	PROPN
ejpam-6660	46	6	=	=	SYM
ejpam-6660	46	7	1	1	NUM
ejpam-6660	46	8	,	,	PUNCT
ejpam-6660	46	9	belε	belε	ADJ
ejpam-6660	46	10	=	=	SYM
ejpam-6660	46	11	belε(1	belε(1	PROPN
ejpam-6660	46	12	)	)	PUNCT
ejpam-6660	46	13	,	,	PUNCT
ejpam-6660	46	14	(	(	PUNCT
ejpam-6660	46	15	ε	ε	PROPN
ejpam-6660	46	16	≥	≥	NUM
ejpam-6660	46	17	0	0	NUM
ejpam-6660	46	18	)	)	PUNCT
ejpam-6660	46	19	are	be	AUX
ejpam-6660	46	20	called	call	VERB
ejpam-6660	46	21	the	the	DET
ejpam-6660	46	22	bell	bell	NOUN
ejpam-6660	46	23	numbers	number	NOUN
ejpam-6660	46	24	.	.	PUNCT
ejpam-6660	47	1	by	by	ADP
ejpam-6660	47	2	(	(	PUNCT
ejpam-6660	47	3	7	7	NUM
ejpam-6660	47	4	)	)	PUNCT
ejpam-6660	47	5	and	and	CCONJ
ejpam-6660	47	6	(	(	PUNCT
ejpam-6660	47	7	10	10	NUM
ejpam-6660	47	8	)	)	PUNCT
ejpam-6660	47	9	,	,	PUNCT
ejpam-6660	47	10	we	we	PRON
ejpam-6660	47	11	observe	observe	VERB
ejpam-6660	47	12	that	that	SCONJ
ejpam-6660	47	13	belε(σ	belε(σ	NOUN
ejpam-6660	47	14	)	)	PUNCT
ejpam-6660	47	15	=	=	SYM
ejpam-6660	47	16	ε∑	ε∑	X
ejpam-6660	47	17	δ=0	δ=0	PROPN
ejpam-6660	47	18	s2(ε	s2(ε	PROPN
ejpam-6660	47	19	,	,	PUNCT
ejpam-6660	47	20	δ)σ	δ)σ	X
ejpam-6660	47	21	δ	δ	PROPN
ejpam-6660	47	22	(	(	PUNCT
ejpam-6660	47	23	ε	ε	PROPN
ejpam-6660	47	24	≥	≥	PROPN
ejpam-6660	47	25	0	0	NUM
ejpam-6660	47	26	)	)	PUNCT
ejpam-6660	47	27	.	.	PUNCT
ejpam-6660	48	1	(	(	PUNCT
ejpam-6660	48	2	11	11	NUM
ejpam-6660	48	3	)	)	PUNCT
ejpam-6660	48	4	recently	recently	ADV
ejpam-6660	48	5	,	,	PUNCT
ejpam-6660	48	6	duran	duran	PROPN
ejpam-6660	48	7	et	et	PROPN
ejpam-6660	48	8	al	al	PROPN
ejpam-6660	48	9	.	.	PUNCT
ejpam-6660	49	1	[	[	X
ejpam-6660	49	2	8	8	NUM
ejpam-6660	49	3	]	]	PUNCT
ejpam-6660	49	4	introduced	introduce	VERB
ejpam-6660	49	5	the	the	DET
ejpam-6660	49	6	partially	partially	ADV
ejpam-6660	49	7	degenerate	degenerate	ADJ
ejpam-6660	49	8	bell	bell	NOUN
ejpam-6660	49	9	-	-	PUNCT
ejpam-6660	49	10	based	base	VERB
ejpam-6660	49	11	bernoulli	bernoulli	NOUN
ejpam-6660	49	12	polynomials	polynomial	NOUN
ejpam-6660	49	13	of	of	ADP
ejpam-6660	49	14	of	of	ADP
ejpam-6660	49	15	the	the	DET
ejpam-6660	49	16	belb	belb	NOUN
ejpam-6660	49	17	(	(	PUNCT
ejpam-6660	49	18	α	α	NOUN
ejpam-6660	49	19	)	)	PUNCT
ejpam-6660	49	20	ε	ε	PROPN
ejpam-6660	49	21	(	(	PUNCT
ejpam-6660	49	22	σ	σ	PROPN
ejpam-6660	49	23	;	;	PUNCT
ejpam-6660	49	24	ρ	ρ	PROPN
ejpam-6660	49	25	):	):	PUNCT
ejpam-6660	49	26	(	(	PUNCT
ejpam-6660	49	27	ζ	ζ	NOUN
ejpam-6660	49	28	eζ	eζ	ADP
ejpam-6660	49	29	−	−	NOUN
ejpam-6660	49	30	1	1	NUM
ejpam-6660	49	31	)	)	PUNCT
ejpam-6660	49	32	α	α	PROPN
ejpam-6660	49	33	eσζ+η(eζ−1	eσζ+η(eζ−1	NUM
ejpam-6660	49	34	)	)	PUNCT
ejpam-6660	49	35	=	=	NOUN
ejpam-6660	50	1	∞∑	∞∑	NUM
ejpam-6660	50	2	ε=0	ε=0	ADJ
ejpam-6660	50	3	belb(α	belb(α	PROPN
ejpam-6660	50	4	)	)	PUNCT
ejpam-6660	50	5	ε	ε	PROPN
ejpam-6660	50	6	(	(	PUNCT
ejpam-6660	50	7	σ	σ	PROPN
ejpam-6660	50	8	;	;	PUNCT
ejpam-6660	50	9	ρ	ρ	PROPN
ejpam-6660	50	10	)	)	PUNCT
ejpam-6660	50	11	ζε	ζε	X
ejpam-6660	50	12	ε	ε	PROPN
ejpam-6660	50	13	!	!	PUNCT
ejpam-6660	50	14	.	.	PUNCT
ejpam-6660	51	1	(	(	PUNCT
ejpam-6660	51	2	12	12	NUM
ejpam-6660	51	3	)	)	PUNCT
ejpam-6660	51	4	for	for	ADP
ejpam-6660	51	5	α	α	NOUN
ejpam-6660	51	6	=	=	SYM
ejpam-6660	51	7	0	0	NUM
ejpam-6660	51	8	in	in	ADP
ejpam-6660	51	9	(	(	PUNCT
ejpam-6660	51	10	12	12	NUM
ejpam-6660	51	11	)	)	PUNCT
ejpam-6660	51	12	,	,	PUNCT
ejpam-6660	51	13	we	we	PRON
ejpam-6660	51	14	get	get	VERB
ejpam-6660	51	15	the	the	DET
ejpam-6660	51	16	bivariate	bivariate	ADJ
ejpam-6660	51	17	bell	bell	NOUN
ejpam-6660	51	18	polynomials	polynomial	NOUN
ejpam-6660	51	19	,	,	PUNCT
ejpam-6660	51	20	[	[	X
ejpam-6660	51	21	8	8	NUM
ejpam-6660	51	22	]	]	PUNCT
ejpam-6660	51	23	.	.	PUNCT
ejpam-6660	52	1	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	52	2	)	)	PUNCT
ejpam-6660	53	1	=	=	NOUN
ejpam-6660	54	1	∞∑	∞∑	NUM
ejpam-6660	54	2	ε=0	ε=0	NOUN
ejpam-6660	54	3	belε(σ	belε(σ	NOUN
ejpam-6660	54	4	;	;	PUNCT
ejpam-6660	54	5	ρ	ρ	NUM
ejpam-6660	54	6	)	)	PUNCT
ejpam-6660	54	7	ζε	ζε	X
ejpam-6660	54	8	ε	ε	PROPN
ejpam-6660	54	9	!	!	PUNCT
ejpam-6660	54	10	.	.	PUNCT
ejpam-6660	55	1	(	(	PUNCT
ejpam-6660	55	2	13	13	X
ejpam-6660	55	3	)	)	PUNCT
ejpam-6660	55	4	let	let	VERB
ejpam-6660	55	5	µ	µ	PRON
ejpam-6660	55	6	∈	∈	PROPN
ejpam-6660	55	7	c	c	NOUN
ejpam-6660	55	8	with	with	ADP
ejpam-6660	55	9	µ	µ	X
ejpam-6660	55	10	̸=	̸=	PROPN
ejpam-6660	55	11	1	1	NUM
ejpam-6660	55	12	,	,	PUNCT
ejpam-6660	55	13	α	α	PROPN
ejpam-6660	55	14	∈	∈	PROPN
ejpam-6660	55	15	c	c	NOUN
ejpam-6660	55	16	and	and	CCONJ
ejpam-6660	55	17	ς	ς	PROPN
ejpam-6660	55	18	∈	∈	PROPN
ejpam-6660	55	19	r.	r.	NOUN
ejpam-6660	55	20	the	the	DET
ejpam-6660	55	21	frobenius	frobenius	ADJ
ejpam-6660	55	22	-	-	PUNCT
ejpam-6660	55	23	type	type	NOUN
ejpam-6660	55	24	eulerian	eulerian	ADJ
ejpam-6660	55	25	polynomials	polynomial	NOUN
ejpam-6660	55	26	a(α	a(α	ADV
ejpam-6660	55	27	)	)	PUNCT
ejpam-6660	55	28	ε	ε	PROPN
ejpam-6660	55	29	(	(	PUNCT
ejpam-6660	55	30	σ;µ	σ;µ	PROPN
ejpam-6660	55	31	)	)	PUNCT
ejpam-6660	55	32	of	of	ADP
ejpam-6660	55	33	order	order	NOUN
ejpam-6660	55	34	α	α	NOUN
ejpam-6660	55	35	are	be	AUX
ejpam-6660	55	36	given	give	VERB
ejpam-6660	55	37	by	by	ADP
ejpam-6660	55	38	[	[	X
ejpam-6660	55	39	6	6	NUM
ejpam-6660	55	40	]	]	PUNCT
ejpam-6660	55	41	:(	:(	X
ejpam-6660	55	42	1−	1−	NUM
ejpam-6660	55	43	µ	µ	X
ejpam-6660	55	44	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	55	45	)	)	PUNCT
ejpam-6660	55	46	−	−	PROPN
ejpam-6660	55	47	µ	µ	X
ejpam-6660	55	48	)	)	PUNCT
ejpam-6660	55	49	α	α	NOUN
ejpam-6660	55	50	eσζ	eσζ	NOUN
ejpam-6660	55	51	=	=	NOUN
ejpam-6660	55	52	∞∑	∞∑	NUM
ejpam-6660	55	53	ε=0	ε=0	NOUN
ejpam-6660	55	54	a(α	a(α	NOUN
ejpam-6660	55	55	)	)	PUNCT
ejpam-6660	55	56	ε	ε	PROPN
ejpam-6660	55	57	(	(	PUNCT
ejpam-6660	55	58	σ;µ	σ;µ	PROPN
ejpam-6660	55	59	)	)	PUNCT
ejpam-6660	55	60	ζε	ζε	X
ejpam-6660	55	61	ε	ε	PROPN
ejpam-6660	55	62	!	!	PROPN
ejpam-6660	55	63	,	,	PUNCT
ejpam-6660	55	64	∣∣∣∣ζ	∣∣∣∣ζ	VERB
ejpam-6660	55	65	+	+	X
ejpam-6660	55	66	ln	ln	ADJ
ejpam-6660	56	1	(	(	PUNCT
ejpam-6660	56	2	µ−	µ−	PROPN
ejpam-6660	56	3	1	1	NUM
ejpam-6660	56	4	µ	µ	NOUN
ejpam-6660	56	5	)	)	PUNCT
ejpam-6660	56	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6660	56	7	<	<	X
ejpam-6660	56	8	2π	2π	NOUN
ejpam-6660	56	9	.	.	PUNCT
ejpam-6660	57	1	(	(	PUNCT
ejpam-6660	57	2	14	14	NUM
ejpam-6660	57	3	)	)	PUNCT
ejpam-6660	57	4	at	at	ADP
ejpam-6660	57	5	the	the	DET
ejpam-6660	57	6	point	point	NOUN
ejpam-6660	57	7	σ	σ	X
ejpam-6660	57	8	=	=	SYM
ejpam-6660	57	9	0	0	NUM
ejpam-6660	57	10	,	,	PUNCT
ejpam-6660	57	11	a(α	a(α	ADV
ejpam-6660	57	12	)	)	PUNCT
ejpam-6660	57	13	ε	ε	PROPN
ejpam-6660	57	14	(	(	PUNCT
ejpam-6660	57	15	0;µ	0;µ	PROPN
ejpam-6660	57	16	)	)	PUNCT
ejpam-6660	57	17	:	:	PUNCT
ejpam-6660	57	18	=	=	SYM
ejpam-6660	57	19	a(α	a(α	X
ejpam-6660	57	20	)	)	PUNCT
ejpam-6660	57	21	ε	ε	PROPN
ejpam-6660	57	22	(	(	PUNCT
ejpam-6660	57	23	µ	µ	NOUN
ejpam-6660	57	24	)	)	PUNCT
ejpam-6660	57	25	are	be	AUX
ejpam-6660	57	26	called	call	VERB
ejpam-6660	57	27	the	the	DET
ejpam-6660	57	28	frobenius	frobenius	ADJ
ejpam-6660	57	29	-	-	PUNCT
ejpam-6660	57	30	type	type	NOUN
ejpam-6660	57	31	eulerian	eulerian	ADJ
ejpam-6660	57	32	numbers	number	NOUN
ejpam-6660	57	33	of	of	ADP
ejpam-6660	57	34	order	order	NOUN
ejpam-6660	57	35	α	α	NOUN
ejpam-6660	57	36	.	.	PUNCT
ejpam-6660	58	1	by	by	ADP
ejpam-6660	58	2	(	(	PUNCT
ejpam-6660	58	3	14	14	NUM
ejpam-6660	58	4	)	)	PUNCT
ejpam-6660	58	5	,	,	PUNCT
ejpam-6660	58	6	we	we	PRON
ejpam-6660	58	7	observe	observe	VERB
ejpam-6660	58	8	that	that	SCONJ
ejpam-6660	58	9	a(α	a(α	NOUN
ejpam-6660	58	10	)	)	PUNCT
ejpam-6660	58	11	ε	ε	PROPN
ejpam-6660	58	12	(	(	PUNCT
ejpam-6660	58	13	σ;µ	σ;µ	PROPN
ejpam-6660	58	14	)	)	PUNCT
ejpam-6660	58	15	=	=	SYM
ejpam-6660	59	1	ε∑	ε∑	PRON
ejpam-6660	59	2	ν=0	ν=0	PROPN
ejpam-6660	59	3	(	(	PUNCT
ejpam-6660	59	4	ε	ε	PROPN
ejpam-6660	59	5	ν	ν	PROPN
ejpam-6660	59	6	)	)	PUNCT
ejpam-6660	59	7	a(α	a(α	VERB
ejpam-6660	59	8	)	)	PUNCT
ejpam-6660	59	9	ν	ν	NOUN
ejpam-6660	59	10	(	(	PUNCT
ejpam-6660	59	11	µ)σε−ν	µ)σε−ν	INTJ
ejpam-6660	59	12	,	,	PUNCT
ejpam-6660	59	13	(	(	PUNCT
ejpam-6660	59	14	15	15	NUM
ejpam-6660	59	15	)	)	PUNCT
ejpam-6660	59	16	and	and	CCONJ
ejpam-6660	59	17	a(α	a(α	PROPN
ejpam-6660	59	18	)	)	PUNCT
ejpam-6660	59	19	ε	ε	PROPN
ejpam-6660	59	20	(	(	PUNCT
ejpam-6660	59	21	σ;µ	σ;µ	PROPN
ejpam-6660	59	22	)	)	PUNCT
ejpam-6660	59	23	=	=	PUNCT
ejpam-6660	59	24	(	(	PUNCT
ejpam-6660	59	25	µ−	µ−	PROPN
ejpam-6660	59	26	1)εh(α	1)εh(α	NUM
ejpam-6660	59	27	)	)	PUNCT
ejpam-6660	59	28	ε	ε	PROPN
ejpam-6660	59	29	(	(	PUNCT
ejpam-6660	59	30	σ	σ	NOUN
ejpam-6660	59	31	µ−	µ−	PROPN
ejpam-6660	59	32	1	1	NUM
ejpam-6660	59	33	|µ	|µ	NOUN
ejpam-6660	59	34	)	)	PUNCT
ejpam-6660	59	35	,	,	PUNCT
ejpam-6660	59	36	(	(	PUNCT
ejpam-6660	59	37	16	16	NUM
ejpam-6660	59	38	)	)	PUNCT
ejpam-6660	59	39	where	where	SCONJ
ejpam-6660	59	40	h(α	h(α	ADV
ejpam-6660	59	41	)	)	PUNCT
ejpam-6660	59	42	ε	ε	PROPN
ejpam-6660	59	43	(	(	PUNCT
ejpam-6660	59	44	σ|µ	σ|µ	PROPN
ejpam-6660	59	45	)	)	PUNCT
ejpam-6660	59	46	are	be	AUX
ejpam-6660	59	47	the	the	DET
ejpam-6660	59	48	εth	εth	NOUN
ejpam-6660	59	49	frobenius	frobenius	NOUN
ejpam-6660	59	50	-	-	PUNCT
ejpam-6660	59	51	euler	euler	NOUN
ejpam-6660	59	52	polynomials	polynomial	NOUN
ejpam-6660	59	53	of	of	ADP
ejpam-6660	59	54	order	order	NOUN
ejpam-6660	59	55	α	α	NOUN
ejpam-6660	60	1	[	[	X
ejpam-6660	60	2	10	10	NUM
ejpam-6660	60	3	]	]	PUNCT
ejpam-6660	60	4	.	.	PUNCT
ejpam-6660	61	1	recently	recently	ADV
ejpam-6660	61	2	,	,	PUNCT
ejpam-6660	61	3	khan	khan	PROPN
ejpam-6660	61	4	et	et	NOUN
ejpam-6660	61	5	al.[16	al.[16	PROPN
ejpam-6660	61	6	]	]	PUNCT
ejpam-6660	61	7	considered	consider	VERB
ejpam-6660	61	8	bell	bell	NOUN
ejpam-6660	61	9	-	-	PUNCT
ejpam-6660	61	10	based	base	VERB
ejpam-6660	61	11	frobenius	frobenius	NOUN
ejpam-6660	61	12	-	-	PUNCT
ejpam-6660	61	13	type	type	NOUN
ejpam-6660	61	14	sine	sine	ADJ
ejpam-6660	61	15	-	-	PUNCT
ejpam-6660	61	16	eulerian	eulerian	ADJ
ejpam-6660	61	17	polynomials	polynomial	NOUN
ejpam-6660	61	18	and	and	CCONJ
ejpam-6660	61	19	bell	bell	NOUN
ejpam-6660	61	20	-	-	PUNCT
ejpam-6660	61	21	based	base	VERB
ejpam-6660	61	22	frobenius	frobenius	NOUN
ejpam-6660	61	23	-	-	PUNCT
ejpam-6660	61	24	type	type	NOUN
ejpam-6660	61	25	cosine	cosine	ADJ
ejpam-6660	61	26	-	-	PUNCT
ejpam-6660	61	27	eulerian	eulerian	ADJ
ejpam-6660	61	28	polynomials	polynomial	NOUN
ejpam-6660	61	29	,	,	PUNCT
ejpam-6660	61	30	respectively	respectively	ADV
ejpam-6660	61	31	,	,	PUNCT
ejpam-6660	61	32	as	as	SCONJ
ejpam-6660	61	33	follows	follow	VERB
ejpam-6660	61	34	:(	:(	PROPN
ejpam-6660	61	35	1−	1−	NUM
ejpam-6660	61	36	µ	µ	X
ejpam-6660	61	37	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	61	38	)	)	PUNCT
ejpam-6660	61	39	−	−	PROPN
ejpam-6660	61	40	µ	µ	X
ejpam-6660	61	41	)	)	PUNCT
ejpam-6660	61	42	α	α	NOUN
ejpam-6660	61	43	eσζ+ρ(eζ−1)sinχζ	eσζ+ρ(eζ−1)sinχζ	VERB
ejpam-6660	62	1	=	=	PUNCT
ejpam-6660	62	2	∞∑	∞∑	NUM
ejpam-6660	62	3	ε=0	ε=0	NOUN
ejpam-6660	62	4	bela(α	bela(α	PROPN
ejpam-6660	62	5	,	,	PUNCT
ejpam-6660	62	6	s	s	PART
ejpam-6660	62	7	)	)	PUNCT
ejpam-6660	62	8	ε	ε	PROPN
ejpam-6660	62	9	(	(	PUNCT
ejpam-6660	62	10	σ	σ	PROPN
ejpam-6660	62	11	,	,	PUNCT
ejpam-6660	62	12	ρ	ρ	PROPN
ejpam-6660	62	13	,	,	PUNCT
ejpam-6660	62	14	χ;µ	χ;µ	NUM
ejpam-6660	62	15	)	)	PUNCT
ejpam-6660	62	16	ζε	ζε	X
ejpam-6660	62	17	ε	ε	PROPN
ejpam-6660	62	18	!	!	PUNCT
ejpam-6660	62	19	and	and	CCONJ
ejpam-6660	62	20	(	(	PUNCT
ejpam-6660	62	21	1−	1−	NUM
ejpam-6660	62	22	µ	µ	X
ejpam-6660	62	23	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	62	24	)	)	PUNCT
ejpam-6660	62	25	−	−	PROPN
ejpam-6660	62	26	µ	µ	X
ejpam-6660	62	27	)	)	PUNCT
ejpam-6660	62	28	α	α	NOUN
ejpam-6660	62	29	eσζ+ρ(eζ−1)cosχζ	eσζ+ρ(eζ−1)cosχζ	PUNCT
ejpam-6660	63	1	=	=	PUNCT
ejpam-6660	63	2	∞∑	∞∑	NUM
ejpam-6660	63	3	ε=0	ε=0	NOUN
ejpam-6660	63	4	bela(α	bela(α	NOUN
ejpam-6660	63	5	,	,	PUNCT
ejpam-6660	63	6	c	c	NOUN
ejpam-6660	63	7	)	)	PUNCT
ejpam-6660	63	8	ε	ε	PROPN
ejpam-6660	63	9	(	(	PUNCT
ejpam-6660	63	10	σ	σ	PROPN
ejpam-6660	63	11	,	,	PUNCT
ejpam-6660	63	12	ρ	ρ	PROPN
ejpam-6660	63	13	,	,	PUNCT
ejpam-6660	63	14	χ;µ	χ;µ	NUM
ejpam-6660	63	15	)	)	PUNCT
ejpam-6660	63	16	ζε	ζε	X
ejpam-6660	63	17	ε	ε	PROPN
ejpam-6660	63	18	!	!	PUNCT
ejpam-6660	63	19	.	.	PUNCT
ejpam-6660	64	1	(	(	PUNCT
ejpam-6660	64	2	17	17	NUM
ejpam-6660	64	3	)	)	PUNCT
ejpam-6660	64	4	then	then	ADV
ejpam-6660	64	5	,	,	PUNCT
ejpam-6660	64	6	they	they	PRON
ejpam-6660	64	7	derived	derive	VERB
ejpam-6660	64	8	several	several	ADJ
ejpam-6660	64	9	properties	property	NOUN
ejpam-6660	64	10	and	and	CCONJ
ejpam-6660	64	11	relations	relation	NOUN
ejpam-6660	64	12	,	,	PUNCT
ejpam-6660	64	13	and	and	CCONJ
ejpam-6660	64	14	also	also	ADV
ejpam-6660	64	15	they	they	PRON
ejpam-6660	64	16	gave	give	VERB
ejpam-6660	64	17	some	some	DET
ejpam-6660	64	18	applications	application	NOUN
ejpam-6660	64	19	of	of	ADP
ejpam-6660	64	20	these	these	DET
ejpam-6660	64	21	polynomials	polynomial	NOUN
ejpam-6660	64	22	,	,	PUNCT
ejpam-6660	64	23	[	[	X
ejpam-6660	64	24	4	4	NUM
ejpam-6660	64	25	,	,	PUNCT
ejpam-6660	64	26	7	7	NUM
ejpam-6660	64	27	]	]	PUNCT
ejpam-6660	64	28	.	.	PUNCT
ejpam-6660	65	1	m.	m.	PROPN
ejpam-6660	65	2	sharma	sharma	PROPN
ejpam-6660	65	3	et	et	PROPN
ejpam-6660	65	4	al	al	PROPN
ejpam-6660	65	5	.	.	PUNCT
ejpam-6660	65	6	/	/	SYM
ejpam-6660	65	7	eur	eur	PROPN
ejpam-6660	65	8	.	.	PUNCT
ejpam-6660	66	1	j.	j.	PROPN
ejpam-6660	66	2	pure	pure	PROPN
ejpam-6660	66	3	appl	appl	PROPN
ejpam-6660	66	4	.	.	PROPN
ejpam-6660	66	5	math	math	PROPN
ejpam-6660	66	6	,	,	PUNCT
ejpam-6660	66	7	18	18	NUM
ejpam-6660	66	8	(	(	PUNCT
ejpam-6660	66	9	3	3	NUM
ejpam-6660	66	10	)	)	PUNCT
ejpam-6660	66	11	(	(	PUNCT
ejpam-6660	66	12	2025	2025	NUM
ejpam-6660	66	13	)	)	PUNCT
ejpam-6660	66	14	,	,	PUNCT
ejpam-6660	66	15	6660	6660	NUM
ejpam-6660	66	16	4	4	NUM
ejpam-6660	66	17	of	of	ADP
ejpam-6660	66	18	19	19	NUM
ejpam-6660	66	19	2	2	NUM
ejpam-6660	66	20	.	.	PUNCT
ejpam-6660	67	1	properties	property	NOUN
ejpam-6660	67	2	of	of	ADP
ejpam-6660	67	3	bell	bell	NOUN
ejpam-6660	67	4	-	-	PUNCT
ejpam-6660	67	5	based	base	VERB
ejpam-6660	67	6	frobenius	frobenius	NOUN
ejpam-6660	67	7	-	-	PUNCT
ejpam-6660	67	8	type	type	NOUN
ejpam-6660	67	9	eulerian	eulerian	ADJ
ejpam-6660	67	10	polynomials	polynomial	NOUN
ejpam-6660	67	11	here	here	ADV
ejpam-6660	67	12	,	,	PUNCT
ejpam-6660	67	13	we	we	PRON
ejpam-6660	67	14	consider	consider	VERB
ejpam-6660	67	15	bell	bell	NOUN
ejpam-6660	67	16	-	-	PUNCT
ejpam-6660	67	17	based	base	VERB
ejpam-6660	67	18	frobenius	frobenius	NOUN
ejpam-6660	67	19	-	-	PUNCT
ejpam-6660	67	20	type	type	NOUN
ejpam-6660	67	21	eulerian	eulerian	ADJ
ejpam-6660	67	22	polynomials	polynomial	NOUN
ejpam-6660	67	23	of	of	ADP
ejpam-6660	67	24	order	order	NOUN
ejpam-6660	67	25	α	α	NOUN
ejpam-6660	67	26	and	and	CCONJ
ejpam-6660	67	27	then	then	ADV
ejpam-6660	67	28	we	we	PRON
ejpam-6660	67	29	analyze	analyze	VERB
ejpam-6660	67	30	some	some	DET
ejpam-6660	67	31	properties	property	NOUN
ejpam-6660	67	32	.	.	PUNCT
ejpam-6660	68	1	definition	definition	NOUN
ejpam-6660	68	2	1	1	NUM
ejpam-6660	68	3	.	.	PUNCT
ejpam-6660	69	1	let	let	VERB
ejpam-6660	69	2	µ	µ	PRON
ejpam-6660	69	3	∈	∈	PROPN
ejpam-6660	69	4	c	c	NOUN
ejpam-6660	69	5	with	with	ADP
ejpam-6660	69	6	µ	µ	X
ejpam-6660	69	7	̸=	̸=	PROPN
ejpam-6660	69	8	1	1	NUM
ejpam-6660	69	9	,	,	PUNCT
ejpam-6660	69	10	and	and	CCONJ
ejpam-6660	69	11	σ	σ	PROPN
ejpam-6660	69	12	,	,	PUNCT
ejpam-6660	69	13	ρ	ρ	PROPN
ejpam-6660	69	14	∈	∈	PROPN
ejpam-6660	69	15	r.	r.	NOUN
ejpam-6660	69	16	the	the	DET
ejpam-6660	69	17	bell	bell	NOUN
ejpam-6660	69	18	-	-	PUNCT
ejpam-6660	69	19	based	base	VERB
ejpam-6660	69	20	frobenius	frobenius	NOUN
ejpam-6660	69	21	-	-	PUNCT
ejpam-6660	69	22	type	type	NOUN
ejpam-6660	69	23	eulerian	eulerian	ADJ
ejpam-6660	69	24	polynomials	polynomial	NOUN
ejpam-6660	69	25	bela	bela	NOUN
ejpam-6660	69	26	(	(	PUNCT
ejpam-6660	69	27	α	α	NOUN
ejpam-6660	69	28	)	)	PUNCT
ejpam-6660	69	29	ε	ε	PROPN
ejpam-6660	69	30	(	(	PUNCT
ejpam-6660	69	31	σ	σ	PROPN
ejpam-6660	69	32	,	,	PUNCT
ejpam-6660	69	33	ρ;µ	ρ;µ	NUM
ejpam-6660	69	34	)	)	PUNCT
ejpam-6660	69	35	of	of	ADP
ejpam-6660	69	36	order	order	NOUN
ejpam-6660	69	37	α	α	NOUN
ejpam-6660	69	38	are	be	AUX
ejpam-6660	69	39	defined	define	VERB
ejpam-6660	69	40	by	by	ADP
ejpam-6660	69	41	(	(	PUNCT
ejpam-6660	69	42	1−	1−	NUM
ejpam-6660	69	43	µ	µ	X
ejpam-6660	69	44	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	69	45	)	)	PUNCT
ejpam-6660	69	46	−	−	PROPN
ejpam-6660	69	47	µ	µ	X
ejpam-6660	69	48	)	)	PUNCT
ejpam-6660	69	49	α	α	PROPN
ejpam-6660	69	50	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	69	51	)	)	PUNCT
ejpam-6660	69	52	=	=	NOUN
ejpam-6660	70	1	∞∑	∞∑	NUM
ejpam-6660	70	2	ε=0	ε=0	VERB
ejpam-6660	70	3	bela(α	bela(α	NOUN
ejpam-6660	70	4	)	)	PUNCT
ejpam-6660	70	5	ε	ε	PROPN
ejpam-6660	70	6	(	(	PUNCT
ejpam-6660	70	7	σ	σ	PROPN
ejpam-6660	70	8	,	,	PUNCT
ejpam-6660	70	9	ρ;µ	ρ;µ	NUM
ejpam-6660	70	10	)	)	PUNCT
ejpam-6660	70	11	ζε	ζε	X
ejpam-6660	70	12	ε	ε	PROPN
ejpam-6660	70	13	!	!	PROPN
ejpam-6660	70	14	,	,	PUNCT
ejpam-6660	70	15	∣∣∣∣ζ	∣∣∣∣ζ	VERB
ejpam-6660	70	16	+	+	X
ejpam-6660	70	17	ln	ln	ADJ
ejpam-6660	71	1	(	(	PUNCT
ejpam-6660	71	2	µ−	µ−	PROPN
ejpam-6660	71	3	1	1	NUM
ejpam-6660	71	4	µ	µ	NOUN
ejpam-6660	71	5	)	)	PUNCT
ejpam-6660	71	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6660	71	7	<	<	X
ejpam-6660	71	8	2π	2π	NOUN
ejpam-6660	71	9	.	.	PUNCT
ejpam-6660	72	1	(	(	PUNCT
ejpam-6660	72	2	18	18	NUM
ejpam-6660	72	3	)	)	PUNCT
ejpam-6660	72	4	remark	remark	NOUN
ejpam-6660	72	5	1	1	NUM
ejpam-6660	72	6	.	.	PUNCT
ejpam-6660	73	1	on	on	ADP
ejpam-6660	73	2	picking	pick	VERB
ejpam-6660	73	3	σ	σ	PROPN
ejpam-6660	73	4	=	=	SYM
ejpam-6660	73	5	0	0	NUM
ejpam-6660	73	6	in	in	ADP
ejpam-6660	73	7	(	(	PUNCT
ejpam-6660	73	8	18	18	NUM
ejpam-6660	73	9	)	)	PUNCT
ejpam-6660	73	10	,	,	PUNCT
ejpam-6660	73	11	we	we	PRON
ejpam-6660	73	12	get	get	VERB
ejpam-6660	73	13	a	a	DET
ejpam-6660	73	14	new	new	ADJ
ejpam-6660	73	15	type	type	NOUN
ejpam-6660	73	16	of	of	ADP
ejpam-6660	73	17	bell	bell	NOUN
ejpam-6660	73	18	-	-	PUNCT
ejpam-6660	73	19	based	base	VERB
ejpam-6660	73	20	frobenius	frobenius	NOUN
ejpam-6660	73	21	-	-	PUNCT
ejpam-6660	73	22	type	type	NOUN
ejpam-6660	73	23	eulerian	eulerian	ADJ
ejpam-6660	73	24	polynomials	polynomial	NOUN
ejpam-6660	73	25	bela	bela	NOUN
ejpam-6660	73	26	(	(	PUNCT
ejpam-6660	73	27	α	α	NOUN
ejpam-6660	73	28	)	)	PUNCT
ejpam-6660	73	29	ε	ε	PROPN
ejpam-6660	73	30	(	(	PUNCT
ejpam-6660	73	31	ρ;µ	ρ;µ	NUM
ejpam-6660	73	32	)	)	PUNCT
ejpam-6660	73	33	of	of	ADP
ejpam-6660	73	34	order	order	NOUN
ejpam-6660	73	35	α	α	NOUN
ejpam-6660	73	36	as	as	ADP
ejpam-6660	73	37	:	:	PUNCT
ejpam-6660	73	38	(	(	PUNCT
ejpam-6660	73	39	1−	1−	NUM
ejpam-6660	73	40	µ	µ	X
ejpam-6660	73	41	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	73	42	)	)	PUNCT
ejpam-6660	73	43	−	−	PROPN
ejpam-6660	73	44	µ	µ	X
ejpam-6660	73	45	)	)	PUNCT
ejpam-6660	73	46	α	α	PROPN
ejpam-6660	73	47	eρ(e	eρ(e	PUNCT
ejpam-6660	73	48	ζ−1	ζ−1	PROPN
ejpam-6660	73	49	)	)	PUNCT
ejpam-6660	73	50	=	=	PUNCT
ejpam-6660	74	1	∞∑	∞∑	NUM
ejpam-6660	74	2	ε=0	ε=0	VERB
ejpam-6660	74	3	bela(α	bela(α	NOUN
ejpam-6660	74	4	)	)	PUNCT
ejpam-6660	74	5	ε	ε	PROPN
ejpam-6660	74	6	(	(	PUNCT
ejpam-6660	74	7	ρ;µ	ρ;µ	PROPN
ejpam-6660	74	8	)	)	PUNCT
ejpam-6660	74	9	ζε	ζε	X
ejpam-6660	74	10	ε	ε	PROPN
ejpam-6660	74	11	!	!	PUNCT
ejpam-6660	74	12	.	.	PUNCT
ejpam-6660	75	1	(	(	PUNCT
ejpam-6660	75	2	19	19	NUM
ejpam-6660	75	3	)	)	PUNCT
ejpam-6660	75	4	remark	remark	NOUN
ejpam-6660	75	5	2	2	NUM
ejpam-6660	75	6	.	.	PUNCT
ejpam-6660	75	7	upon	upon	SCONJ
ejpam-6660	75	8	laying	lay	VERB
ejpam-6660	75	9	ρ	ρ	NOUN
ejpam-6660	75	10	=	=	SYM
ejpam-6660	75	11	0	0	NUM
ejpam-6660	75	12	in	in	ADP
ejpam-6660	75	13	(	(	PUNCT
ejpam-6660	75	14	18	18	NUM
ejpam-6660	75	15	)	)	PUNCT
ejpam-6660	75	16	,	,	PUNCT
ejpam-6660	75	17	the	the	DET
ejpam-6660	75	18	bell	bell	NOUN
ejpam-6660	75	19	-	-	PUNCT
ejpam-6660	75	20	based	base	VERB
ejpam-6660	75	21	frobenius	frobenius	NOUN
ejpam-6660	75	22	-	-	PUNCT
ejpam-6660	75	23	type	type	NOUN
ejpam-6660	75	24	eulerian	eulerian	ADJ
ejpam-6660	75	25	polynomials	polynomial	NOUN
ejpam-6660	75	26	bela	bela	NOUN
ejpam-6660	75	27	(	(	PUNCT
ejpam-6660	75	28	α	α	NOUN
ejpam-6660	75	29	)	)	PUNCT
ejpam-6660	75	30	ε	ε	PROPN
ejpam-6660	75	31	(	(	PUNCT
ejpam-6660	75	32	σ	σ	PROPN
ejpam-6660	75	33	,	,	PUNCT
ejpam-6660	75	34	ρ;µ	ρ;µ	NUM
ejpam-6660	75	35	)	)	PUNCT
ejpam-6660	75	36	of	of	ADP
ejpam-6660	75	37	order	order	NOUN
ejpam-6660	75	38	α	α	NOUN
ejpam-6660	75	39	reduces	reduce	VERB
ejpam-6660	75	40	to	to	ADP
ejpam-6660	75	41	familiar	familiar	ADJ
ejpam-6660	75	42	frobenius	frobenius	NOUN
ejpam-6660	75	43	-	-	PUNCT
ejpam-6660	75	44	type	type	NOUN
ejpam-6660	75	45	eulerian	eulerian	ADJ
ejpam-6660	75	46	polynomials	polynomial	NOUN
ejpam-6660	75	47	a(α	a(α	ADV
ejpam-6660	75	48	)	)	PUNCT
ejpam-6660	75	49	ε	ε	PROPN
ejpam-6660	75	50	(	(	PUNCT
ejpam-6660	75	51	σ;µ	σ;µ	PROPN
ejpam-6660	75	52	)	)	PUNCT
ejpam-6660	75	53	of	of	ADP
ejpam-6660	75	54	order	order	NOUN
ejpam-6660	75	55	α	α	PRON
ejpam-6660	75	56	in	in	ADP
ejpam-6660	75	57	(	(	PUNCT
ejpam-6660	75	58	14	14	NUM
ejpam-6660	75	59	)	)	PUNCT
ejpam-6660	75	60	.	.	PUNCT
ejpam-6660	76	1	theorem	theorem	NOUN
ejpam-6660	76	2	1	1	NUM
ejpam-6660	76	3	.	.	X
ejpam-6660	77	1	for	for	ADP
ejpam-6660	77	2	ε	ε	PROPN
ejpam-6660	77	3	≥	≥	PROPN
ejpam-6660	77	4	0	0	NUM
ejpam-6660	77	5	,	,	PUNCT
ejpam-6660	77	6	we	we	PRON
ejpam-6660	77	7	have	have	AUX
ejpam-6660	77	8	bela(α	bela(α	VERB
ejpam-6660	77	9	)	)	PUNCT
ejpam-6660	77	10	ε	ε	PROPN
ejpam-6660	77	11	(	(	PUNCT
ejpam-6660	77	12	σ	σ	PROPN
ejpam-6660	77	13	,	,	PUNCT
ejpam-6660	77	14	ρ;µ	ρ;µ	NUM
ejpam-6660	77	15	)	)	PUNCT
ejpam-6660	78	1	=	=	SYM
ejpam-6660	78	2	ε∑	ε∑	X
ejpam-6660	78	3	u=0	u=0	X
ejpam-6660	78	4	(	(	PUNCT
ejpam-6660	78	5	ε	ε	PROPN
ejpam-6660	78	6	u	u	PROPN
ejpam-6660	78	7	)	)	PUNCT
ejpam-6660	78	8	a(α	a(α	VERB
ejpam-6660	78	9	)	)	PUNCT
ejpam-6660	78	10	u	u	NOUN
ejpam-6660	78	11	(	(	PUNCT
ejpam-6660	78	12	µ)belε−u(σ	µ)belε−u(σ	NOUN
ejpam-6660	78	13	;	;	PUNCT
ejpam-6660	78	14	ρ	ρ	NUM
ejpam-6660	78	15	)	)	PUNCT
ejpam-6660	78	16	,	,	PUNCT
ejpam-6660	78	17	(	(	PUNCT
ejpam-6660	78	18	20	20	X
ejpam-6660	78	19	)	)	PUNCT
ejpam-6660	78	20	bela(α	bela(α	PROPN
ejpam-6660	78	21	)	)	PUNCT
ejpam-6660	78	22	ε	ε	PROPN
ejpam-6660	78	23	(	(	PUNCT
ejpam-6660	78	24	σ	σ	PROPN
ejpam-6660	78	25	,	,	PUNCT
ejpam-6660	78	26	ρ;µ	ρ;µ	NUM
ejpam-6660	78	27	)	)	PUNCT
ejpam-6660	78	28	=	=	SYM
ejpam-6660	79	1	ε∑	ε∑	X
ejpam-6660	79	2	u=0	u=0	X
ejpam-6660	79	3	(	(	PUNCT
ejpam-6660	79	4	ε	ε	PROPN
ejpam-6660	79	5	u	u	PROPN
ejpam-6660	79	6	)	)	PUNCT
ejpam-6660	79	7	a(α	a(α	VERB
ejpam-6660	79	8	)	)	PUNCT
ejpam-6660	79	9	u	u	NOUN
ejpam-6660	79	10	(	(	PUNCT
ejpam-6660	79	11	σ;λ)belε−u(ρ	σ;λ)belε−u(ρ	PROPN
ejpam-6660	79	12	)	)	PUNCT
ejpam-6660	79	13	,	,	PUNCT
ejpam-6660	79	14	(	(	PUNCT
ejpam-6660	79	15	21	21	NUM
ejpam-6660	79	16	)	)	PUNCT
ejpam-6660	79	17	bela(α	bela(α	PROPN
ejpam-6660	79	18	)	)	PUNCT
ejpam-6660	79	19	ε	ε	PROPN
ejpam-6660	79	20	(	(	PUNCT
ejpam-6660	79	21	σ	σ	PROPN
ejpam-6660	79	22	,	,	PUNCT
ejpam-6660	79	23	ρ;µ	ρ;µ	NUM
ejpam-6660	79	24	)	)	PUNCT
ejpam-6660	79	25	=	=	SYM
ejpam-6660	80	1	ε∑	ε∑	X
ejpam-6660	80	2	u=0	u=0	X
ejpam-6660	80	3	(	(	PUNCT
ejpam-6660	80	4	ε	ε	PROPN
ejpam-6660	80	5	u	u	PROPN
ejpam-6660	80	6	)	)	PUNCT
ejpam-6660	80	7	bela(α	bela(α	VERB
ejpam-6660	80	8	)	)	PUNCT
ejpam-6660	80	9	u	u	NOUN
ejpam-6660	80	10	(	(	PUNCT
ejpam-6660	80	11	ρ;λ)σε−u	ρ;λ)σε−u	NUM
ejpam-6660	80	12	.	.	PUNCT
ejpam-6660	81	1	(	(	PUNCT
ejpam-6660	81	2	22	22	NUM
ejpam-6660	81	3	)	)	PUNCT
ejpam-6660	81	4	proof	proof	NOUN
ejpam-6660	81	5	.	.	PUNCT
ejpam-6660	82	1	by	by	ADP
ejpam-6660	82	2	(	(	PUNCT
ejpam-6660	82	3	10	10	NUM
ejpam-6660	82	4	)	)	PUNCT
ejpam-6660	82	5	,	,	PUNCT
ejpam-6660	82	6	(	(	PUNCT
ejpam-6660	82	7	12	12	NUM
ejpam-6660	82	8	)	)	PUNCT
ejpam-6660	82	9	,	,	PUNCT
ejpam-6660	82	10	(	(	PUNCT
ejpam-6660	82	11	14	14	NUM
ejpam-6660	82	12	)	)	PUNCT
ejpam-6660	82	13	,	,	PUNCT
ejpam-6660	82	14	and	and	CCONJ
ejpam-6660	82	15	(	(	PUNCT
ejpam-6660	82	16	18	18	NUM
ejpam-6660	82	17	)	)	PUNCT
ejpam-6660	82	18	and	and	CCONJ
ejpam-6660	82	19	using	use	VERB
ejpam-6660	82	20	the	the	DET
ejpam-6660	82	21	cauchy	cauchy	ADJ
ejpam-6660	82	22	product	product	NOUN
ejpam-6660	82	23	rule	rule	NOUN
ejpam-6660	82	24	,	,	PUNCT
ejpam-6660	82	25	we	we	PRON
ejpam-6660	82	26	readily	readily	ADV
ejpam-6660	82	27	get	get	VERB
ejpam-6660	82	28	the	the	DET
ejpam-6660	82	29	representations	representation	NOUN
ejpam-6660	82	30	(	(	PUNCT
ejpam-6660	82	31	20)-(22	20)-(22	NOUN
ejpam-6660	82	32	)	)	PUNCT
ejpam-6660	82	33	.	.	PUNCT
ejpam-6660	83	1	theorem	theorem	NOUN
ejpam-6660	83	2	2	2	NUM
ejpam-6660	83	3	.	.	X
ejpam-6660	83	4	for	for	ADP
ejpam-6660	83	5	ε	ε	PROPN
ejpam-6660	83	6	≥	≥	PROPN
ejpam-6660	83	7	0	0	NUM
ejpam-6660	83	8	,	,	PUNCT
ejpam-6660	83	9	we	we	PRON
ejpam-6660	83	10	have	have	VERB
ejpam-6660	83	11	bela(α+β	bela(α+β	NOUN
ejpam-6660	83	12	)	)	PUNCT
ejpam-6660	83	13	ε	ε	PROPN
ejpam-6660	83	14	(	(	PUNCT
ejpam-6660	83	15	σ	σ	PROPN
ejpam-6660	83	16	+	+	CCONJ
ejpam-6660	83	17	w	w	PROPN
ejpam-6660	83	18	,	,	PUNCT
ejpam-6660	83	19	ρ+	ρ+	NOUN
ejpam-6660	83	20	u;µ	u;µ	PRON
ejpam-6660	83	21	)	)	PUNCT
ejpam-6660	84	1	=	=	SYM
ejpam-6660	84	2	ε∑	ε∑	PRON
ejpam-6660	84	3	s=0	s=0	X
ejpam-6660	84	4	(	(	PUNCT
ejpam-6660	84	5	ε	ε	PROPN
ejpam-6660	84	6	s	s	PART
ejpam-6660	84	7	)	)	PUNCT
ejpam-6660	84	8	bela(β	bela(β	PROPN
ejpam-6660	84	9	)	)	PUNCT
ejpam-6660	84	10	s	s	PART
ejpam-6660	84	11	(	(	PUNCT
ejpam-6660	84	12	u	u	NOUN
ejpam-6660	84	13	,	,	PUNCT
ejpam-6660	84	14	w;µ)bela	w;µ)bela	PROPN
ejpam-6660	84	15	(	(	PUNCT
ejpam-6660	84	16	α	α	NOUN
ejpam-6660	84	17	)	)	PUNCT
ejpam-6660	84	18	ε−s(σ	ε−s(σ	NOUN
ejpam-6660	84	19	,	,	PUNCT
ejpam-6660	84	20	ρ;µ	ρ;µ	NUM
ejpam-6660	84	21	)	)	PUNCT
ejpam-6660	84	22	.	.	PUNCT
ejpam-6660	85	1	(	(	PUNCT
ejpam-6660	85	2	23	23	X
ejpam-6660	85	3	)	)	PUNCT
ejpam-6660	85	4	proof	proof	NOUN
ejpam-6660	85	5	.	.	PUNCT
ejpam-6660	86	1	using	use	VERB
ejpam-6660	86	2	(	(	PUNCT
ejpam-6660	86	3	14	14	NUM
ejpam-6660	86	4	)	)	PUNCT
ejpam-6660	86	5	and	and	CCONJ
ejpam-6660	86	6	(	(	PUNCT
ejpam-6660	86	7	18	18	NUM
ejpam-6660	86	8	)	)	PUNCT
ejpam-6660	86	9	,	,	PUNCT
ejpam-6660	86	10	we	we	PRON
ejpam-6660	86	11	have	have	VERB
ejpam-6660	86	12	∞∑	∞∑	NUM
ejpam-6660	86	13	ε=0	ε=0	ADJ
ejpam-6660	86	14	bela(α+β	bela(α+β	NOUN
ejpam-6660	86	15	)	)	PUNCT
ejpam-6660	86	16	ε	ε	PROPN
ejpam-6660	86	17	(	(	PUNCT
ejpam-6660	86	18	σ	σ	PROPN
ejpam-6660	86	19	+	+	CCONJ
ejpam-6660	86	20	w	w	PROPN
ejpam-6660	86	21	,	,	PUNCT
ejpam-6660	86	22	ρ+	ρ+	X
ejpam-6660	86	23	u;µ	u;µ	NUM
ejpam-6660	86	24	)	)	PUNCT
ejpam-6660	86	25	ζε	ζε	X
ejpam-6660	86	26	ε	ε	PROPN
ejpam-6660	86	27	!	!	PUNCT
ejpam-6660	87	1	=	=	PRON
ejpam-6660	87	2	(	(	PUNCT
ejpam-6660	87	3	1−	1−	NUM
ejpam-6660	87	4	µ	µ	X
ejpam-6660	87	5	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	87	6	)	)	PUNCT
ejpam-6660	87	7	−	−	PROPN
ejpam-6660	87	8	µ	µ	X
ejpam-6660	87	9	)	)	PUNCT
ejpam-6660	87	10	α+β	α+β	PROPN
ejpam-6660	87	11	e(σ+u)ζ+(ρ+w)(eζ−1	e(σ+u)ζ+(ρ+w)(eζ−1	NUM
ejpam-6660	87	12	)	)	PUNCT
ejpam-6660	87	13	=	=	NOUN
ejpam-6660	88	1	∞∑	∞∑	NUM
ejpam-6660	88	2	ε=0	ε=0	VERB
ejpam-6660	88	3	bela(α	bela(α	NOUN
ejpam-6660	88	4	)	)	PUNCT
ejpam-6660	88	5	ε	ε	PROPN
ejpam-6660	88	6	(	(	PUNCT
ejpam-6660	88	7	σ	σ	PROPN
ejpam-6660	88	8	,	,	PUNCT
ejpam-6660	88	9	ρ;µ	ρ;µ	NUM
ejpam-6660	88	10	)	)	PUNCT
ejpam-6660	88	11	ζε	ζε	X
ejpam-6660	88	12	ε	ε	PROPN
ejpam-6660	88	13	!	!	PUNCT
ejpam-6660	89	1	∞∑	∞∑	NUM
ejpam-6660	89	2	s=0	s=0	PROPN
ejpam-6660	89	3	bela(β	bela(β	PROPN
ejpam-6660	89	4	)	)	PUNCT
ejpam-6660	89	5	s	s	PART
ejpam-6660	89	6	(	(	PUNCT
ejpam-6660	89	7	u	u	NOUN
ejpam-6660	89	8	,	,	PUNCT
ejpam-6660	89	9	w;λ	w;λ	NUM
ejpam-6660	89	10	)	)	PUNCT
ejpam-6660	89	11	ζs	ζs	ADP
ejpam-6660	89	12	s	s	NOUN
ejpam-6660	89	13	!	!	PUNCT
ejpam-6660	89	14	=	=	NOUN
ejpam-6660	90	1	∞∑	∞∑	NUM
ejpam-6660	90	2	ε=0	ε=0	X
ejpam-6660	90	3	ε∑	ε∑	PRON
ejpam-6660	90	4	s=0	s=0	X
ejpam-6660	90	5	(	(	PUNCT
ejpam-6660	90	6	ε	ε	PROPN
ejpam-6660	90	7	s	s	PART
ejpam-6660	90	8	)	)	PUNCT
ejpam-6660	90	9	bela(β	bela(β	PROPN
ejpam-6660	90	10	)	)	PUNCT
ejpam-6660	90	11	s	s	PART
ejpam-6660	90	12	(	(	PUNCT
ejpam-6660	90	13	u	u	NOUN
ejpam-6660	90	14	,	,	PUNCT
ejpam-6660	90	15	w;µ)bela	w;µ)bela	PROPN
ejpam-6660	90	16	(	(	PUNCT
ejpam-6660	90	17	α	α	NOUN
ejpam-6660	90	18	)	)	PUNCT
ejpam-6660	90	19	ε−s(σ	ε−s(σ	NOUN
ejpam-6660	90	20	,	,	PUNCT
ejpam-6660	90	21	ρ;µ	ρ;µ	NUM
ejpam-6660	90	22	)	)	PUNCT
ejpam-6660	90	23	ζε	ζε	X
ejpam-6660	90	24	ε	ε	PROPN
ejpam-6660	90	25	!	!	PROPN
ejpam-6660	90	26	,	,	PUNCT
ejpam-6660	90	27	(	(	PUNCT
ejpam-6660	90	28	24	24	NUM
ejpam-6660	90	29	)	)	PUNCT
ejpam-6660	90	30	which	which	PRON
ejpam-6660	90	31	means	mean	VERB
ejpam-6660	90	32	the	the	DET
ejpam-6660	90	33	asserted	asserted	ADJ
ejpam-6660	90	34	result	result	NOUN
ejpam-6660	90	35	(	(	PUNCT
ejpam-6660	90	36	23	23	NUM
ejpam-6660	90	37	)	)	PUNCT
ejpam-6660	90	38	.	.	PUNCT
ejpam-6660	91	1	m.	m.	PROPN
ejpam-6660	91	2	sharma	sharma	PROPN
ejpam-6660	91	3	et	et	PROPN
ejpam-6660	91	4	al	al	PROPN
ejpam-6660	91	5	.	.	PUNCT
ejpam-6660	91	6	/	/	SYM
ejpam-6660	91	7	eur	eur	PROPN
ejpam-6660	91	8	.	.	PUNCT
ejpam-6660	92	1	j.	j.	PROPN
ejpam-6660	92	2	pure	pure	PROPN
ejpam-6660	92	3	appl	appl	PROPN
ejpam-6660	92	4	.	.	PROPN
ejpam-6660	92	5	math	math	PROPN
ejpam-6660	92	6	,	,	PUNCT
ejpam-6660	92	7	18	18	NUM
ejpam-6660	92	8	(	(	PUNCT
ejpam-6660	92	9	3	3	NUM
ejpam-6660	92	10	)	)	PUNCT
ejpam-6660	92	11	(	(	PUNCT
ejpam-6660	92	12	2025	2025	NUM
ejpam-6660	92	13	)	)	PUNCT
ejpam-6660	92	14	,	,	PUNCT
ejpam-6660	92	15	6660	6660	NUM
ejpam-6660	92	16	5	5	NUM
ejpam-6660	92	17	of	of	ADP
ejpam-6660	92	18	19	19	NUM
ejpam-6660	92	19	remark	remark	NOUN
ejpam-6660	92	20	3	3	NUM
ejpam-6660	92	21	.	.	X
ejpam-6660	93	1	for	for	ADP
ejpam-6660	93	2	u	u	NOUN
ejpam-6660	93	3	=	=	PUNCT
ejpam-6660	93	4	β	β	X
ejpam-6660	93	5	=	=	SYM
ejpam-6660	93	6	0	0	NUM
ejpam-6660	93	7	in	in	ADP
ejpam-6660	93	8	theorem	theorem	NOUN
ejpam-6660	93	9	2	2	NUM
ejpam-6660	93	10	,	,	PUNCT
ejpam-6660	93	11	we	we	PRON
ejpam-6660	93	12	get	get	VERB
ejpam-6660	93	13	bela(α	bela(α	VERB
ejpam-6660	93	14	)	)	PUNCT
ejpam-6660	93	15	ε	ε	PROPN
ejpam-6660	93	16	(	(	PUNCT
ejpam-6660	93	17	σ	σ	PROPN
ejpam-6660	93	18	+	+	CCONJ
ejpam-6660	93	19	w	w	PROPN
ejpam-6660	93	20	,	,	PUNCT
ejpam-6660	93	21	ρ;µ	ρ;µ	NUM
ejpam-6660	93	22	)	)	PUNCT
ejpam-6660	94	1	=	=	SYM
ejpam-6660	94	2	ε∑	ε∑	PRON
ejpam-6660	94	3	s=0	s=0	X
ejpam-6660	94	4	(	(	PUNCT
ejpam-6660	94	5	ε	ε	PROPN
ejpam-6660	94	6	s	s	PART
ejpam-6660	94	7	)	)	PUNCT
ejpam-6660	94	8	a(α	a(α	PROPN
ejpam-6660	94	9	)	)	PUNCT
ejpam-6660	94	10	ε−s(σ;µ)bels(ρ;w	ε−s(σ;µ)bels(ρ;w	PROPN
ejpam-6660	94	11	)	)	PUNCT
ejpam-6660	94	12	.	.	PUNCT
ejpam-6660	95	1	(	(	PUNCT
ejpam-6660	95	2	25	25	NUM
ejpam-6660	95	3	)	)	PUNCT
ejpam-6660	95	4	theorem	theorem	NOUN
ejpam-6660	95	5	3	3	NUM
ejpam-6660	95	6	.	.	PUNCT
ejpam-6660	96	1	the	the	DET
ejpam-6660	96	2	following	follow	VERB
ejpam-6660	96	3	differentiation	differentiation	NOUN
ejpam-6660	96	4	formulas	formula	NOUN
ejpam-6660	96	5	hold	hold	VERB
ejpam-6660	96	6	:	:	PUNCT
ejpam-6660	96	7	∂bela	∂bela	PROPN
ejpam-6660	96	8	(	(	PUNCT
ejpam-6660	96	9	α	α	NOUN
ejpam-6660	96	10	)	)	PUNCT
ejpam-6660	96	11	ε	ε	PROPN
ejpam-6660	96	12	(	(	PUNCT
ejpam-6660	96	13	σ	σ	PROPN
ejpam-6660	96	14	,	,	PUNCT
ejpam-6660	96	15	ρ;µ	ρ;µ	NUM
ejpam-6660	96	16	)	)	PUNCT
ejpam-6660	96	17	∂σ	∂σ	PROPN
ejpam-6660	97	1	=	=	PUNCT
ejpam-6660	97	2	εbela	εbela	PROPN
ejpam-6660	97	3	(	(	PUNCT
ejpam-6660	97	4	α	α	NOUN
ejpam-6660	97	5	)	)	PUNCT
ejpam-6660	97	6	ε−1(σ	ε−1(σ	PROPN
ejpam-6660	97	7	,	,	PUNCT
ejpam-6660	97	8	ρ;µ	ρ;µ	NUM
ejpam-6660	97	9	)	)	PUNCT
ejpam-6660	97	10	,	,	PUNCT
ejpam-6660	97	11	(	(	PUNCT
ejpam-6660	97	12	26	26	NUM
ejpam-6660	97	13	)	)	PUNCT
ejpam-6660	97	14	∂bela	∂bela	PROPN
ejpam-6660	97	15	(	(	PUNCT
ejpam-6660	97	16	α	α	NOUN
ejpam-6660	97	17	)	)	PUNCT
ejpam-6660	97	18	ε	ε	PROPN
ejpam-6660	97	19	(	(	PUNCT
ejpam-6660	97	20	σ	σ	PROPN
ejpam-6660	97	21	,	,	PUNCT
ejpam-6660	97	22	ρ;µ	ρ;µ	NUM
ejpam-6660	97	23	)	)	PUNCT
ejpam-6660	97	24	∂ρ	∂ρ	NOUN
ejpam-6660	97	25	=	=	PUNCT
ejpam-6660	97	26	bela(α	bela(α	PROPN
ejpam-6660	97	27	)	)	PUNCT
ejpam-6660	97	28	ε	ε	PROPN
ejpam-6660	97	29	(	(	PUNCT
ejpam-6660	97	30	σ	σ	PROPN
ejpam-6660	97	31	+	+	PROPN
ejpam-6660	97	32	1	1	NUM
ejpam-6660	97	33	,	,	PUNCT
ejpam-6660	97	34	ρ;µ)−	ρ;µ)−	NOUN
ejpam-6660	97	35	bela(α	bela(α	PROPN
ejpam-6660	97	36	)	)	PUNCT
ejpam-6660	97	37	ε	ε	PROPN
ejpam-6660	97	38	(	(	PUNCT
ejpam-6660	97	39	σ	σ	PROPN
ejpam-6660	97	40	,	,	PUNCT
ejpam-6660	97	41	ρ;µ	ρ;µ	NUM
ejpam-6660	97	42	)	)	PUNCT
ejpam-6660	97	43	.	.	PUNCT
ejpam-6660	98	1	(	(	PUNCT
ejpam-6660	98	2	27	27	NUM
ejpam-6660	98	3	)	)	PUNCT
ejpam-6660	98	4	proof	proof	NOUN
ejpam-6660	98	5	.	.	PUNCT
ejpam-6660	99	1	by	by	ADP
ejpam-6660	99	2	(	(	PUNCT
ejpam-6660	99	3	18	18	NUM
ejpam-6660	99	4	)	)	PUNCT
ejpam-6660	99	5	,	,	PUNCT
ejpam-6660	99	6	we	we	PRON
ejpam-6660	99	7	have	have	VERB
ejpam-6660	99	8	∞∑	∞∑	NUM
ejpam-6660	99	9	ε=1	ε=1	PROPN
ejpam-6660	99	10	∂	∂	ADV
ejpam-6660	99	11	∂σ	∂σ	PROPN
ejpam-6660	99	12	bela(α	bela(α	PROPN
ejpam-6660	99	13	)	)	PUNCT
ejpam-6660	99	14	σ	σ	PROPN
ejpam-6660	99	15	(	(	PUNCT
ejpam-6660	99	16	σ	σ	PROPN
ejpam-6660	99	17	,	,	PUNCT
ejpam-6660	99	18	ρ;µ	ρ;µ	NUM
ejpam-6660	99	19	)	)	PUNCT
ejpam-6660	99	20	ζε	ζε	X
ejpam-6660	99	21	ε	ε	PROPN
ejpam-6660	99	22	!	!	PUNCT
ejpam-6660	100	1	=	=	SYM
ejpam-6660	100	2	∂	∂	PROPN
ejpam-6660	101	1	∂σ	∂σ	PROPN
ejpam-6660	101	2	(	(	PUNCT
ejpam-6660	101	3	1−	1−	NUM
ejpam-6660	101	4	µ	µ	X
ejpam-6660	101	5	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	101	6	)	)	PUNCT
ejpam-6660	101	7	−	−	PROPN
ejpam-6660	101	8	µ	µ	X
ejpam-6660	101	9	)	)	PUNCT
ejpam-6660	101	10	α	α	PROPN
ejpam-6660	101	11	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	101	12	)	)	PUNCT
ejpam-6660	101	13	=	=	PRON
ejpam-6660	101	14	(	(	PUNCT
ejpam-6660	101	15	1−	1−	NUM
ejpam-6660	101	16	µ	µ	X
ejpam-6660	101	17	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	101	18	)	)	PUNCT
ejpam-6660	101	19	−	−	PROPN
ejpam-6660	101	20	µ	µ	X
ejpam-6660	101	21	)	)	PUNCT
ejpam-6660	101	22	α	α	PROPN
ejpam-6660	101	23	∂	∂	NOUN
ejpam-6660	101	24	∂σ	∂σ	PROPN
ejpam-6660	101	25	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	101	26	)	)	PUNCT
ejpam-6660	101	27	=	=	PRON
ejpam-6660	101	28	(	(	PUNCT
ejpam-6660	101	29	1−	1−	NUM
ejpam-6660	101	30	µ	µ	X
ejpam-6660	101	31	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	101	32	)	)	PUNCT
ejpam-6660	101	33	−	−	PROPN
ejpam-6660	101	34	µ	µ	X
ejpam-6660	101	35	)	)	PUNCT
ejpam-6660	101	36	α	α	PRON
ejpam-6660	101	37	ζeσζ+η(eζ−1	ζeσζ+η(eζ−1	PROPN
ejpam-6660	101	38	)	)	PUNCT
ejpam-6660	102	1	=	=	PUNCT
ejpam-6660	102	2	∞∑	∞∑	NUM
ejpam-6660	102	3	ε=1	ε=1	PROPN
ejpam-6660	102	4	bela	bela	NOUN
ejpam-6660	102	5	(	(	PUNCT
ejpam-6660	102	6	α	α	NOUN
ejpam-6660	102	7	)	)	PUNCT
ejpam-6660	102	8	ε−1(σ	ε−1(σ	PROPN
ejpam-6660	102	9	,	,	PUNCT
ejpam-6660	102	10	ρ;µ	ρ;µ	NUM
ejpam-6660	102	11	)	)	PUNCT
ejpam-6660	102	12	ζε	ζε	X
ejpam-6660	102	13	ε	ε	PROPN
ejpam-6660	102	14	!	!	PROPN
ejpam-6660	102	15	,	,	PUNCT
ejpam-6660	102	16	(	(	PUNCT
ejpam-6660	102	17	28	28	NUM
ejpam-6660	102	18	)	)	PUNCT
ejpam-6660	102	19	which	which	PRON
ejpam-6660	102	20	gives	give	VERB
ejpam-6660	102	21	the	the	DET
ejpam-6660	102	22	claimed	claim	VERB
ejpam-6660	102	23	result	result	NOUN
ejpam-6660	102	24	(	(	PUNCT
ejpam-6660	102	25	26	26	NUM
ejpam-6660	102	26	)	)	PUNCT
ejpam-6660	102	27	.	.	PUNCT
ejpam-6660	103	1	again	again	ADV
ejpam-6660	103	2	,	,	PUNCT
ejpam-6660	103	3	using	use	VERB
ejpam-6660	103	4	(	(	PUNCT
ejpam-6660	103	5	18	18	NUM
ejpam-6660	103	6	)	)	PUNCT
ejpam-6660	103	7	,	,	PUNCT
ejpam-6660	103	8	we	we	PRON
ejpam-6660	103	9	note	note	VERB
ejpam-6660	103	10	that	that	SCONJ
ejpam-6660	103	11	∞∑	∞∑	NUM
ejpam-6660	103	12	ε=0	ε=0	PROPN
ejpam-6660	103	13	∂	∂	PRON
ejpam-6660	103	14	∂ρ	∂ρ	PROPN
ejpam-6660	103	15	bela(α	bela(α	PROPN
ejpam-6660	103	16	)	)	PUNCT
ejpam-6660	103	17	ε	ε	PROPN
ejpam-6660	103	18	(	(	PUNCT
ejpam-6660	103	19	σ	σ	PROPN
ejpam-6660	103	20	,	,	PUNCT
ejpam-6660	103	21	ρ;µ	ρ;µ	NUM
ejpam-6660	103	22	)	)	PUNCT
ejpam-6660	103	23	ζε	ζε	X
ejpam-6660	103	24	ε	ε	PROPN
ejpam-6660	103	25	!	!	PUNCT
ejpam-6660	103	26	=	=	SYM
ejpam-6660	103	27	∂	∂	NUM
ejpam-6660	103	28	∂ρ	∂ρ	PROPN
ejpam-6660	103	29	(	(	PUNCT
ejpam-6660	103	30	1−	1−	NUM
ejpam-6660	103	31	µ	µ	X
ejpam-6660	103	32	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	103	33	)	)	PUNCT
ejpam-6660	103	34	−	−	PROPN
ejpam-6660	103	35	µ	µ	X
ejpam-6660	103	36	)	)	PUNCT
ejpam-6660	103	37	α	α	PROPN
ejpam-6660	103	38	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	103	39	)	)	PUNCT
ejpam-6660	103	40	=	=	PRON
ejpam-6660	103	41	(	(	PUNCT
ejpam-6660	103	42	1−	1−	NUM
ejpam-6660	103	43	µ	µ	X
ejpam-6660	103	44	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	103	45	)	)	PUNCT
ejpam-6660	103	46	−	−	PROPN
ejpam-6660	103	47	µ	µ	X
ejpam-6660	103	48	)	)	PUNCT
ejpam-6660	103	49	α	α	PROPN
ejpam-6660	103	50	∂	∂	NOUN
ejpam-6660	103	51	∂ρ	∂ρ	PROPN
ejpam-6660	103	52	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	103	53	)	)	PUNCT
ejpam-6660	103	54	=	=	PRON
ejpam-6660	103	55	(	(	PUNCT
ejpam-6660	103	56	1−	1−	NUM
ejpam-6660	103	57	µ	µ	X
ejpam-6660	103	58	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	103	59	)	)	PUNCT
ejpam-6660	103	60	−	−	PROPN
ejpam-6660	103	61	µ	µ	X
ejpam-6660	103	62	)	)	PUNCT
ejpam-6660	103	63	α	α	PROPN
ejpam-6660	103	64	eσζ+ρ(eζ−1)(eζ	eσζ+ρ(eζ−1)(eζ	PROPN
ejpam-6660	103	65	−	−	PROPN
ejpam-6660	103	66	1	1	NUM
ejpam-6660	103	67	)	)	PUNCT
ejpam-6660	103	68	=	=	NOUN
ejpam-6660	104	1	∞∑	∞∑	NUM
ejpam-6660	104	2	ε=0	ε=0	VERB
ejpam-6660	104	3	bela(α	bela(α	NOUN
ejpam-6660	104	4	)	)	PUNCT
ejpam-6660	104	5	ε	ε	PROPN
ejpam-6660	104	6	(	(	PUNCT
ejpam-6660	104	7	σ	σ	PROPN
ejpam-6660	104	8	+	+	PROPN
ejpam-6660	104	9	1	1	NUM
ejpam-6660	104	10	,	,	PUNCT
ejpam-6660	104	11	ρ;µ	ρ;µ	NUM
ejpam-6660	104	12	)	)	PUNCT
ejpam-6660	104	13	ζε	ζε	X
ejpam-6660	104	14	ε	ε	PROPN
ejpam-6660	104	15	!	!	PUNCT
ejpam-6660	104	16	−	−	PROPN
ejpam-6660	105	1	∞∑	∞∑	NUM
ejpam-6660	105	2	ε=0	ε=0	PUNCT
ejpam-6660	105	3	bela(α	bela(α	NOUN
ejpam-6660	105	4	)	)	PUNCT
ejpam-6660	105	5	ε	ε	PROPN
ejpam-6660	105	6	(	(	PUNCT
ejpam-6660	105	7	σ	σ	PROPN
ejpam-6660	105	8	,	,	PUNCT
ejpam-6660	105	9	ρ;µ	ρ;µ	NUM
ejpam-6660	105	10	)	)	PUNCT
ejpam-6660	105	11	ζε	ζε	X
ejpam-6660	105	12	ε	ε	PROPN
ejpam-6660	105	13	!	!	PROPN
ejpam-6660	105	14	,	,	PUNCT
ejpam-6660	105	15	(	(	PUNCT
ejpam-6660	105	16	29	29	NUM
ejpam-6660	105	17	)	)	PUNCT
ejpam-6660	105	18	which	which	PRON
ejpam-6660	105	19	provides	provide	VERB
ejpam-6660	105	20	the	the	DET
ejpam-6660	105	21	asserted	asserted	ADJ
ejpam-6660	105	22	result	result	NOUN
ejpam-6660	105	23	(	(	PUNCT
ejpam-6660	105	24	27	27	NUM
ejpam-6660	105	25	)	)	PUNCT
ejpam-6660	105	26	.	.	PUNCT
ejpam-6660	106	1	theorem	theorem	ADJ
ejpam-6660	106	2	4	4	NUM
ejpam-6660	106	3	.	.	PUNCT
ejpam-6660	107	1	let	let	VERB
ejpam-6660	107	2	ε	ε	PROPN
ejpam-6660	107	3	≥	≥	PRON
ejpam-6660	107	4	0	0	NUM
ejpam-6660	107	5	.	.	PUNCT
ejpam-6660	108	1	then	then	ADV
ejpam-6660	108	2	(	(	PUNCT
ejpam-6660	108	3	2µ−	2µ−	NUM
ejpam-6660	108	4	1	1	NUM
ejpam-6660	108	5	)	)	PUNCT
ejpam-6660	108	6	ε∑	ε∑	NOUN
ejpam-6660	108	7	δ=0	δ=0	PROPN
ejpam-6660	108	8	(	(	PUNCT
ejpam-6660	108	9	ε	ε	PROPN
ejpam-6660	108	10	δ	δ	PROPN
ejpam-6660	108	11	)	)	PUNCT
ejpam-6660	108	12	aδ(σ;µ)belaε−δ(σ	aδ(σ;µ)belaε−δ(σ	PROPN
ejpam-6660	108	13	,	,	PUNCT
ejpam-6660	108	14	ρ	ρ	PROPN
ejpam-6660	108	15	;	;	PUNCT
ejpam-6660	108	16	1−	1−	NUM
ejpam-6660	108	17	µ	µ	NUM
ejpam-6660	108	18	)	)	PUNCT
ejpam-6660	108	19	=	=	SYM
ejpam-6660	108	20	λbelaε(σ	λbelaε(σ	NOUN
ejpam-6660	108	21	,	,	PUNCT
ejpam-6660	108	22	ρ;µ)−	ρ;µ)−	PROPN
ejpam-6660	108	23	(	(	PUNCT
ejpam-6660	108	24	1−	1−	NUM
ejpam-6660	108	25	µ)belaε(σ	µ)belaε(σ	NOUN
ejpam-6660	108	26	,	,	PUNCT
ejpam-6660	108	27	ρ	ρ	PROPN
ejpam-6660	108	28	;	;	PUNCT
ejpam-6660	108	29	1−	1−	NUM
ejpam-6660	108	30	µ	µ	NUM
ejpam-6660	108	31	)	)	PUNCT
ejpam-6660	108	32	.	.	PUNCT
ejpam-6660	109	1	(	(	PUNCT
ejpam-6660	109	2	30	30	X
ejpam-6660	109	3	)	)	PUNCT
ejpam-6660	109	4	proof	proof	NOUN
ejpam-6660	109	5	.	.	PUNCT
ejpam-6660	110	1	we	we	PRON
ejpam-6660	110	2	set	set	VERB
ejpam-6660	110	3	(	(	PUNCT
ejpam-6660	110	4	2µ−	2µ−	NUM
ejpam-6660	110	5	1	1	NUM
ejpam-6660	110	6	)	)	PUNCT
ejpam-6660	110	7	(	(	PUNCT
ejpam-6660	110	8	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	110	9	)	)	PUNCT
ejpam-6660	110	10	−	−	NOUN
ejpam-6660	110	11	µ)(eζ(µ−1	µ)(eζ(µ−1	ADJ
ejpam-6660	110	12	)	)	PUNCT
ejpam-6660	110	13	−	−	PROPN
ejpam-6660	111	1	(	(	PUNCT
ejpam-6660	111	2	1−	1−	NUM
ejpam-6660	111	3	µ	µ	NUM
ejpam-6660	111	4	)	)	PUNCT
ejpam-6660	111	5	)	)	PUNCT
ejpam-6660	112	1	=	=	SYM
ejpam-6660	112	2	1	1	NUM
ejpam-6660	112	3	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	112	4	)	)	PUNCT
ejpam-6660	112	5	−	−	PROPN
ejpam-6660	112	6	µ	µ	NOUN
ejpam-6660	112	7	−	−	PROPN
ejpam-6660	112	8	1	1	NUM
ejpam-6660	112	9	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	112	10	)	)	PUNCT
ejpam-6660	112	11	−	−	PROPN
ejpam-6660	112	12	(	(	PUNCT
ejpam-6660	112	13	1−	1−	NUM
ejpam-6660	112	14	µ	µ	NUM
ejpam-6660	112	15	)	)	PUNCT
ejpam-6660	112	16	.	.	PUNCT
ejpam-6660	113	1	we	we	PRON
ejpam-6660	113	2	observe	observe	VERB
ejpam-6660	113	3	that	that	SCONJ
ejpam-6660	113	4	(	(	PUNCT
ejpam-6660	113	5	2µ−1	2µ−1	NUM
ejpam-6660	113	6	)	)	PUNCT
ejpam-6660	113	7	(	(	PUNCT
ejpam-6660	113	8	1−	1−	NUM
ejpam-6660	113	9	µ)eσζ(1−	µ)eσζ(1−	PROPN
ejpam-6660	113	10	(	(	PUNCT
ejpam-6660	113	11	1−	1−	NUM
ejpam-6660	113	12	µ))eρ(e	µ))eρ(e	SYM
ejpam-6660	113	13	ζ−1	ζ−1	PROPN
ejpam-6660	113	14	)	)	PUNCT
ejpam-6660	113	15	(	(	PUNCT
ejpam-6660	113	16	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	113	17	)	)	PUNCT
ejpam-6660	113	18	−	−	NOUN
ejpam-6660	113	19	µ)(eζ(µ−1	µ)(eζ(µ−1	ADJ
ejpam-6660	113	20	)	)	PUNCT
ejpam-6660	113	21	−	−	PROPN
ejpam-6660	114	1	(	(	PUNCT
ejpam-6660	114	2	1−	1−	NUM
ejpam-6660	114	3	µ	µ	NUM
ejpam-6660	114	4	)	)	PUNCT
ejpam-6660	114	5	)	)	PUNCT
ejpam-6660	115	1	=	=	SYM
ejpam-6660	115	2	(	(	PUNCT
ejpam-6660	115	3	1−	1−	NUM
ejpam-6660	115	4	µ)eρ(e	µ)eρ(e	NUM
ejpam-6660	115	5	ζ−1)µeσζ	ζ−1)µeσζ	NOUN
ejpam-6660	115	6	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	115	7	)	)	PUNCT
ejpam-6660	115	8	−	−	PROPN
ejpam-6660	115	9	µ	µ	X
ejpam-6660	115	10	−(1−	−(1−	NOUN
ejpam-6660	115	11	µ)eρ(e	µ)eρ(e	NUM
ejpam-6660	115	12	ζ−1)µeσζ(1−	ζ−1)µeσζ(1−	ADP
ejpam-6660	115	13	(	(	PUNCT
ejpam-6660	115	14	1−	1−	NUM
ejpam-6660	115	15	µ	µ	NUM
ejpam-6660	115	16	)	)	PUNCT
ejpam-6660	115	17	)	)	PUNCT
ejpam-6660	115	18	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	115	19	)	)	PUNCT
ejpam-6660	115	20	−	−	PROPN
ejpam-6660	115	21	(	(	PUNCT
ejpam-6660	115	22	1−	1−	NUM
ejpam-6660	115	23	µ	µ	NUM
ejpam-6660	115	24	)	)	PUNCT
ejpam-6660	115	25	,	,	PUNCT
ejpam-6660	115	26	and	and	CCONJ
ejpam-6660	115	27	then	then	ADV
ejpam-6660	115	28	(	(	PUNCT
ejpam-6660	115	29	2µ−	2µ−	NUM
ejpam-6660	115	30	1	1	NUM
ejpam-6660	115	31	)	)	PUNCT
ejpam-6660	115	32	(	(	PUNCT
ejpam-6660	115	33	∞∑	∞∑	PROPN
ejpam-6660	115	34	δ=0	δ=0	PROPN
ejpam-6660	115	35	aδ(σ;µ	aδ(σ;µ	PROPN
ejpam-6660	115	36	)	)	PUNCT
ejpam-6660	115	37	ζδ	ζδ	PROPN
ejpam-6660	116	1	δ	δ	PROPN
ejpam-6660	116	2	!	!	PUNCT
ejpam-6660	116	3	)	)	PUNCT
ejpam-6660	117	1	(	(	PUNCT
ejpam-6660	117	2	∞∑	∞∑	NUM
ejpam-6660	117	3	ε=0	ε=0	X
ejpam-6660	117	4	belaε(ρ	belaε(ρ	NOUN
ejpam-6660	117	5	;	;	PUNCT
ejpam-6660	117	6	1−	1−	NUM
ejpam-6660	117	7	µ	µ	NOUN
ejpam-6660	117	8	)	)	PUNCT
ejpam-6660	117	9	ζε	ζε	X
ejpam-6660	117	10	ε	ε	PROPN
ejpam-6660	117	11	!	!	PUNCT
ejpam-6660	117	12	)	)	PUNCT
ejpam-6660	118	1	=	=	PUNCT
ejpam-6660	119	1	µ	µ	PRON
ejpam-6660	119	2	∞∑	∞∑	NUM
ejpam-6660	119	3	ε=0	ε=0	NOUN
ejpam-6660	119	4	belaε(σ	belaε(σ	NOUN
ejpam-6660	119	5	,	,	PUNCT
ejpam-6660	119	6	ρ;µ	ρ;µ	NUM
ejpam-6660	119	7	)	)	PUNCT
ejpam-6660	119	8	ζε	ζε	X
ejpam-6660	119	9	ε	ε	PROPN
ejpam-6660	119	10	!	!	PUNCT
ejpam-6660	120	1	−	−	PROPN
ejpam-6660	120	2	(	(	PUNCT
ejpam-6660	120	3	1−	1−	NUM
ejpam-6660	120	4	µ	µ	NUM
ejpam-6660	120	5	)	)	PUNCT
ejpam-6660	120	6	∞∑	∞∑	NUM
ejpam-6660	120	7	ε=0	ε=0	NOUN
ejpam-6660	120	8	belaε(σ	belaε(σ	NOUN
ejpam-6660	120	9	,	,	PUNCT
ejpam-6660	120	10	ρ	ρ	NOUN
ejpam-6660	120	11	;	;	PUNCT
ejpam-6660	120	12	1−	1−	NUM
ejpam-6660	120	13	µ	µ	NOUN
ejpam-6660	120	14	)	)	PUNCT
ejpam-6660	120	15	ζε	ζε	PROPN
ejpam-6660	120	16	ε	ε	PROPN
ejpam-6660	120	17	!	!	PROPN
ejpam-6660	120	18	,	,	PUNCT
ejpam-6660	120	19	which	which	PRON
ejpam-6660	120	20	implies	imply	VERB
ejpam-6660	120	21	the	the	DET
ejpam-6660	120	22	desired	desire	VERB
ejpam-6660	120	23	result	result	NOUN
ejpam-6660	120	24	.	.	PUNCT
ejpam-6660	121	1	m.	m.	PROPN
ejpam-6660	121	2	sharma	sharma	PROPN
ejpam-6660	121	3	et	et	PROPN
ejpam-6660	121	4	al	al	PROPN
ejpam-6660	121	5	.	.	PUNCT
ejpam-6660	121	6	/	/	SYM
ejpam-6660	121	7	eur	eur	PROPN
ejpam-6660	121	8	.	.	PUNCT
ejpam-6660	122	1	j.	j.	PROPN
ejpam-6660	122	2	pure	pure	PROPN
ejpam-6660	122	3	appl	appl	PROPN
ejpam-6660	122	4	.	.	PROPN
ejpam-6660	122	5	math	math	PROPN
ejpam-6660	122	6	,	,	PUNCT
ejpam-6660	122	7	18	18	NUM
ejpam-6660	122	8	(	(	PUNCT
ejpam-6660	122	9	3	3	NUM
ejpam-6660	122	10	)	)	PUNCT
ejpam-6660	122	11	(	(	PUNCT
ejpam-6660	122	12	2025	2025	NUM
ejpam-6660	122	13	)	)	PUNCT
ejpam-6660	122	14	,	,	PUNCT
ejpam-6660	122	15	6660	6660	NUM
ejpam-6660	122	16	6	6	NUM
ejpam-6660	122	17	of	of	ADP
ejpam-6660	122	18	19	19	NUM
ejpam-6660	122	19	theorem	theorem	NOUN
ejpam-6660	122	20	5	5	NUM
ejpam-6660	122	21	.	.	PUNCT
ejpam-6660	122	22	for	for	ADP
ejpam-6660	122	23	ε	ε	PROPN
ejpam-6660	122	24	≥	≥	PROPN
ejpam-6660	122	25	0	0	NUM
ejpam-6660	122	26	,	,	PUNCT
ejpam-6660	122	27	we	we	PRON
ejpam-6660	122	28	have	have	AUX
ejpam-6660	122	29	µbelaε(σ	µbelaε(σ	NOUN
ejpam-6660	122	30	,	,	PUNCT
ejpam-6660	122	31	ρ;µ	ρ;µ	NUM
ejpam-6660	122	32	)	)	PUNCT
ejpam-6660	123	1	=	=	SYM
ejpam-6660	123	2	ε∑	ε∑	X
ejpam-6660	123	3	δ=0	δ=0	PROPN
ejpam-6660	123	4	(	(	PUNCT
ejpam-6660	123	5	ε	ε	PROPN
ejpam-6660	123	6	δ	δ	PROPN
ejpam-6660	123	7	)	)	PUNCT
ejpam-6660	124	1	belaε−δ(σ	belaε−δ(σ	VERB
ejpam-6660	124	2	,	,	PUNCT
ejpam-6660	124	3	ρ;µ)(1−	ρ;µ)(1−	PROPN
ejpam-6660	124	4	µ)δ	µ)δ	NOUN
ejpam-6660	124	5	−	−	PROPN
ejpam-6660	124	6	(	(	PUNCT
ejpam-6660	124	7	1−	1−	NUM
ejpam-6660	124	8	µ)belε(σ	µ)belε(σ	NOUN
ejpam-6660	124	9	;	;	PUNCT
ejpam-6660	124	10	ρ	ρ	NUM
ejpam-6660	124	11	)	)	PUNCT
ejpam-6660	124	12	.	.	PUNCT
ejpam-6660	125	1	(	(	PUNCT
ejpam-6660	125	2	31	31	NUM
ejpam-6660	125	3	)	)	PUNCT
ejpam-6660	125	4	proof	proof	NOUN
ejpam-6660	125	5	.	.	PUNCT
ejpam-6660	126	1	consider	consider	VERB
ejpam-6660	126	2	µ	µ	X
ejpam-6660	126	3	(	(	PUNCT
ejpam-6660	126	4	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	126	5	)	)	PUNCT
ejpam-6660	126	6	−	−	PROPN
ejpam-6660	126	7	µ)eζ(µ−1	µ)eζ(µ−1	PROPN
ejpam-6660	126	8	)	)	PUNCT
ejpam-6660	126	9	=	=	SYM
ejpam-6660	126	10	1	1	NUM
ejpam-6660	126	11	(	(	PUNCT
ejpam-6660	126	12	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	126	13	)	)	PUNCT
ejpam-6660	126	14	−	−	PROPN
ejpam-6660	126	15	µ	µ	X
ejpam-6660	126	16	)	)	PUNCT
ejpam-6660	126	17	−	−	PROPN
ejpam-6660	126	18	1	1	NUM
ejpam-6660	126	19	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	126	20	)	)	PUNCT
ejpam-6660	126	21	.	.	PUNCT
ejpam-6660	127	1	we	we	PRON
ejpam-6660	127	2	find	find	VERB
ejpam-6660	127	3	µ(1−	µ(1−	NOUN
ejpam-6660	127	4	µ)eσζ+ρ(eζ−1	µ)eσζ+ρ(eζ−1	NOUN
ejpam-6660	127	5	)	)	PUNCT
ejpam-6660	127	6	(	(	PUNCT
ejpam-6660	127	7	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	127	8	)	)	PUNCT
ejpam-6660	127	9	−	−	PROPN
ejpam-6660	127	10	µ)eζ(µ−1	µ)eζ(µ−1	PROPN
ejpam-6660	127	11	)	)	PUNCT
ejpam-6660	127	12	=	=	PUNCT
ejpam-6660	127	13	(	(	PUNCT
ejpam-6660	127	14	1−	1−	NUM
ejpam-6660	127	15	µ)eσζ+ρ(eζ−1	µ)eσζ+ρ(eζ−1	NOUN
ejpam-6660	127	16	)	)	PUNCT
ejpam-6660	127	17	(	(	PUNCT
ejpam-6660	127	18	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	127	19	)	)	PUNCT
ejpam-6660	127	20	−	−	PROPN
ejpam-6660	127	21	µ	µ	X
ejpam-6660	127	22	)	)	PUNCT
ejpam-6660	127	23	−	−	PROPN
ejpam-6660	127	24	(	(	PUNCT
ejpam-6660	127	25	1−	1−	NUM
ejpam-6660	127	26	µ)eσζ+ρ(eζ−1	µ)eσζ+ρ(eζ−1	NOUN
ejpam-6660	127	27	)	)	PUNCT
ejpam-6660	127	28	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	127	29	)	)	PUNCT
ejpam-6660	127	30	µ	µ	VERB
ejpam-6660	127	31	∞∑	∞∑	NUM
ejpam-6660	127	32	ε=0	ε=0	NOUN
ejpam-6660	127	33	belaε(σ	belaε(σ	NOUN
ejpam-6660	127	34	,	,	PUNCT
ejpam-6660	127	35	ρ;µ	ρ;µ	NUM
ejpam-6660	127	36	)	)	PUNCT
ejpam-6660	127	37	ζε	ζε	X
ejpam-6660	127	38	ε	ε	PROPN
ejpam-6660	127	39	!	!	PUNCT
ejpam-6660	127	40	=	=	NOUN
ejpam-6660	128	1	∞∑	∞∑	NUM
ejpam-6660	128	2	ε=0	ε=0	ADJ
ejpam-6660	128	3	belaε(σ	belaε(σ	NOUN
ejpam-6660	128	4	,	,	PUNCT
ejpam-6660	128	5	ρ;µ	ρ;µ	NUM
ejpam-6660	128	6	)	)	PUNCT
ejpam-6660	128	7	ζε	ζε	X
ejpam-6660	128	8	ε	ε	PROPN
ejpam-6660	128	9	!	!	PUNCT
ejpam-6660	129	1	∞∑	∞∑	ADJ
ejpam-6660	129	2	δ=0	δ=0	PROPN
ejpam-6660	129	3	(	(	PUNCT
ejpam-6660	129	4	1−	1−	NUM
ejpam-6660	129	5	µ)δ	µ)δ	NOUN
ejpam-6660	129	6	ζδ	ζδ	X
ejpam-6660	129	7	δ	δ	PROPN
ejpam-6660	129	8	!	!	PUNCT
ejpam-6660	129	9	−	−	PROPN
ejpam-6660	130	1	(	(	PUNCT
ejpam-6660	130	2	1−	1−	NUM
ejpam-6660	130	3	µ	µ	NUM
ejpam-6660	130	4	)	)	PUNCT
ejpam-6660	130	5	∞∑	∞∑	NUM
ejpam-6660	130	6	ε=0	ε=0	NOUN
ejpam-6660	130	7	belε(σ	belε(σ	NOUN
ejpam-6660	130	8	;	;	PUNCT
ejpam-6660	130	9	ρ	ρ	NUM
ejpam-6660	130	10	)	)	PUNCT
ejpam-6660	130	11	ζε	ζε	X
ejpam-6660	130	12	ε	ε	PROPN
ejpam-6660	130	13	!	!	PUNCT
ejpam-6660	130	14	.	.	PUNCT
ejpam-6660	131	1	(	(	PUNCT
ejpam-6660	131	2	32	32	NUM
ejpam-6660	131	3	)	)	PUNCT
ejpam-6660	131	4	therefore	therefore	ADV
ejpam-6660	131	5	,	,	PUNCT
ejpam-6660	131	6	by	by	ADP
ejpam-6660	131	7	(	(	PUNCT
ejpam-6660	131	8	32	32	NUM
ejpam-6660	131	9	)	)	PUNCT
ejpam-6660	131	10	,	,	PUNCT
ejpam-6660	131	11	we	we	PRON
ejpam-6660	131	12	get	get	VERB
ejpam-6660	131	13	(	(	PUNCT
ejpam-6660	131	14	31	31	NUM
ejpam-6660	131	15	)	)	PUNCT
ejpam-6660	131	16	.	.	PUNCT
ejpam-6660	132	1	theorem	theorem	VERB
ejpam-6660	132	2	6	6	NUM
ejpam-6660	132	3	.	.	PUNCT
ejpam-6660	133	1	let	let	VERB
ejpam-6660	133	2	ε	ε	PROPN
ejpam-6660	133	3	≥	≥	PRON
ejpam-6660	133	4	0	0	NUM
ejpam-6660	133	5	.	.	PUNCT
ejpam-6660	134	1	then	then	ADV
ejpam-6660	134	2	bela(α	bela(α	VERB
ejpam-6660	134	3	)	)	PUNCT
ejpam-6660	134	4	ε	ε	PROPN
ejpam-6660	134	5	(	(	PUNCT
ejpam-6660	134	6	σ	σ	PROPN
ejpam-6660	134	7	,	,	PUNCT
ejpam-6660	134	8	ρ;µ	ρ;µ	NUM
ejpam-6660	134	9	)	)	PUNCT
ejpam-6660	134	10	=	=	SYM
ejpam-6660	135	1	1	1	NUM
ejpam-6660	135	2	1−	1−	NUM
ejpam-6660	135	3	µ	µ	X
ejpam-6660	135	4	ε∑	ε∑	X
ejpam-6660	135	5	δ=0	δ=0	PROPN
ejpam-6660	135	6	(	(	PUNCT
ejpam-6660	135	7	ε	ε	PROPN
ejpam-6660	135	8	δ	δ	PROPN
ejpam-6660	135	9	)	)	PUNCT
ejpam-6660	135	10	[	[	PUNCT
ejpam-6660	135	11	aε−δ(µ)bela	aε−δ(µ)bela	PROPN
ejpam-6660	135	12	(	(	PUNCT
ejpam-6660	135	13	α	α	NOUN
ejpam-6660	135	14	)	)	PUNCT
ejpam-6660	135	15	δ	δ	NOUN
ejpam-6660	135	16	(	(	PUNCT
ejpam-6660	135	17	(	(	PUNCT
ejpam-6660	135	18	1−	1−	NUM
ejpam-6660	135	19	µ)σ	µ)σ	X
ejpam-6660	135	20	,	,	PUNCT
ejpam-6660	135	21	ρ;µ)−	ρ;µ)−	X
ejpam-6660	135	22	µaε−δ(µ)bela	µaε−δ(µ)bela	PROPN
ejpam-6660	135	23	(	(	PUNCT
ejpam-6660	135	24	α	α	X
ejpam-6660	135	25	)	)	PUNCT
ejpam-6660	135	26	δ	δ	PROPN
ejpam-6660	135	27	(	(	PUNCT
ejpam-6660	135	28	σ	σ	PROPN
ejpam-6660	135	29	,	,	PUNCT
ejpam-6660	135	30	ρ;µ	ρ;µ	NUM
ejpam-6660	135	31	)	)	PUNCT
ejpam-6660	135	32	]	]	PUNCT
ejpam-6660	135	33	.	.	PUNCT
ejpam-6660	136	1	(	(	PUNCT
ejpam-6660	136	2	33	33	NUM
ejpam-6660	136	3	)	)	PUNCT
ejpam-6660	136	4	proof	proof	NOUN
ejpam-6660	136	5	.	.	PUNCT
ejpam-6660	137	1	in	in	ADP
ejpam-6660	137	2	(	(	PUNCT
ejpam-6660	137	3	18	18	NUM
ejpam-6660	137	4	)	)	PUNCT
ejpam-6660	137	5	,	,	PUNCT
ejpam-6660	137	6	we	we	PRON
ejpam-6660	137	7	have	have	VERB
ejpam-6660	137	8	∞∑	∞∑	NUM
ejpam-6660	137	9	ε=0	ε=0	PUNCT
ejpam-6660	137	10	bela(α	bela(α	VERB
ejpam-6660	137	11	)	)	PUNCT
ejpam-6660	137	12	ε	ε	PROPN
ejpam-6660	137	13	(	(	PUNCT
ejpam-6660	137	14	σ	σ	PROPN
ejpam-6660	137	15	,	,	PUNCT
ejpam-6660	137	16	ρ;µ	ρ;µ	NUM
ejpam-6660	137	17	)	)	PUNCT
ejpam-6660	137	18	ζε	ζε	X
ejpam-6660	137	19	ε	ε	PROPN
ejpam-6660	137	20	!	!	PUNCT
ejpam-6660	137	21	=	=	PRON
ejpam-6660	137	22	(	(	PUNCT
ejpam-6660	137	23	1−	1−	NUM
ejpam-6660	137	24	µ	µ	X
ejpam-6660	137	25	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	137	26	)	)	PUNCT
ejpam-6660	137	27	−	−	PROPN
ejpam-6660	137	28	µ	µ	NOUN
ejpam-6660	137	29	)	)	PUNCT
ejpam-6660	137	30	(	(	PUNCT
ejpam-6660	137	31	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	137	32	)	)	PUNCT
ejpam-6660	137	33	−	−	PROPN
ejpam-6660	137	34	µ	µ	X
ejpam-6660	137	35	1−	1−	NUM
ejpam-6660	137	36	µ	µ	X
ejpam-6660	137	37	)	)	PUNCT
ejpam-6660	137	38	(	(	PUNCT
ejpam-6660	137	39	1−	1−	NUM
ejpam-6660	137	40	µ	µ	X
ejpam-6660	137	41	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	137	42	)	)	PUNCT
ejpam-6660	137	43	−	−	PROPN
ejpam-6660	137	44	µ	µ	X
ejpam-6660	137	45	)	)	PUNCT
ejpam-6660	137	46	α	α	PROPN
ejpam-6660	137	47	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	137	48	)	)	PUNCT
ejpam-6660	137	49	=	=	SYM
ejpam-6660	138	1	1	1	NUM
ejpam-6660	138	2	1−	1−	NUM
ejpam-6660	138	3	µ	µ	X
ejpam-6660	138	4	[	[	X
ejpam-6660	138	5	(	(	PUNCT
ejpam-6660	138	6	1−	1−	NUM
ejpam-6660	138	7	µ	µ	X
ejpam-6660	138	8	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	138	9	)	)	PUNCT
ejpam-6660	138	10	−	−	PROPN
ejpam-6660	138	11	µ	µ	X
ejpam-6660	138	12	)	)	PUNCT
ejpam-6660	138	13	e(µ−1)ζ	e(µ−1)ζ	NOUN
ejpam-6660	138	14	(	(	PUNCT
ejpam-6660	138	15	1−	1−	NUM
ejpam-6660	138	16	µ	µ	X
ejpam-6660	138	17	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	138	18	)	)	PUNCT
ejpam-6660	138	19	−	−	PROPN
ejpam-6660	138	20	µ	µ	X
ejpam-6660	138	21	)	)	PUNCT
ejpam-6660	138	22	α	α	PROPN
ejpam-6660	138	23	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	138	24	)	)	PUNCT
ejpam-6660	138	25	−µ	−µ	NOUN
ejpam-6660	138	26	(	(	PUNCT
ejpam-6660	138	27	1−	1−	NUM
ejpam-6660	138	28	µ	µ	X
ejpam-6660	138	29	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	138	30	)	)	PUNCT
ejpam-6660	138	31	−	−	PROPN
ejpam-6660	138	32	µ	µ	NOUN
ejpam-6660	138	33	)	)	PUNCT
ejpam-6660	138	34	(	(	PUNCT
ejpam-6660	138	35	1−	1−	NUM
ejpam-6660	138	36	µ	µ	X
ejpam-6660	138	37	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	138	38	)	)	PUNCT
ejpam-6660	138	39	−	−	PROPN
ejpam-6660	138	40	µ	µ	X
ejpam-6660	138	41	)	)	PUNCT
ejpam-6660	138	42	α	α	PROPN
ejpam-6660	138	43	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	PROPN
ejpam-6660	138	44	)	)	PUNCT
ejpam-6660	138	45	]	]	PUNCT
ejpam-6660	138	46	=	=	PUNCT
ejpam-6660	138	47	1	1	NUM
ejpam-6660	138	48	1−	1−	NUM
ejpam-6660	138	49	µ	µ	X
ejpam-6660	138	50	[	[	PUNCT
ejpam-6660	138	51	∞∑	∞∑	NUM
ejpam-6660	138	52	ε=0	ε=0	NOUN
ejpam-6660	138	53	aε(µ	aε(µ	NUM
ejpam-6660	138	54	)	)	PUNCT
ejpam-6660	138	55	ζε	ζε	X
ejpam-6660	138	56	ε	ε	PROPN
ejpam-6660	138	57	!	!	PUNCT
ejpam-6660	139	1	∞∑	∞∑	ADJ
ejpam-6660	139	2	δ=0	δ=0	PROPN
ejpam-6660	139	3	bela	bela	PROPN
ejpam-6660	139	4	(	(	PUNCT
ejpam-6660	139	5	α	α	NOUN
ejpam-6660	139	6	)	)	PUNCT
ejpam-6660	139	7	δ	δ	NOUN
ejpam-6660	139	8	(	(	PUNCT
ejpam-6660	139	9	(	(	PUNCT
ejpam-6660	139	10	µ−	µ−	PROPN
ejpam-6660	139	11	1)σ	1)σ	NUM
ejpam-6660	139	12	,	,	PUNCT
ejpam-6660	139	13	ρ;µ	ρ;µ	NUM
ejpam-6660	139	14	)	)	PUNCT
ejpam-6660	139	15	ζδ	ζδ	PROPN
ejpam-6660	140	1	δ	δ	PROPN
ejpam-6660	140	2	!	!	PUNCT
ejpam-6660	141	1	−	−	PROPN
ejpam-6660	142	1	µ	µ	PRON
ejpam-6660	142	2	∞∑	∞∑	NUM
ejpam-6660	142	3	ε=0	ε=0	NOUN
ejpam-6660	142	4	aε(µ	aε(µ	NUM
ejpam-6660	142	5	)	)	PUNCT
ejpam-6660	142	6	ζε	ζε	X
ejpam-6660	142	7	ε	ε	PROPN
ejpam-6660	142	8	!	!	PUNCT
ejpam-6660	143	1	∞∑	∞∑	ADJ
ejpam-6660	143	2	δ=0	δ=0	PROPN
ejpam-6660	143	3	bela	bela	PROPN
ejpam-6660	143	4	(	(	PUNCT
ejpam-6660	143	5	α	α	NOUN
ejpam-6660	143	6	)	)	PUNCT
ejpam-6660	143	7	δ	δ	PROPN
ejpam-6660	143	8	(	(	PUNCT
ejpam-6660	143	9	σ	σ	PROPN
ejpam-6660	143	10	,	,	PUNCT
ejpam-6660	143	11	ρ;µ	ρ;µ	NUM
ejpam-6660	143	12	)	)	PUNCT
ejpam-6660	143	13	ζδ	ζδ	PROPN
ejpam-6660	143	14	δ	δ	PROPN
ejpam-6660	143	15	!	!	PUNCT
ejpam-6660	143	16	]	]	PUNCT
ejpam-6660	143	17	.	.	PUNCT
ejpam-6660	144	1	(	(	PUNCT
ejpam-6660	144	2	34	34	NUM
ejpam-6660	144	3	)	)	PUNCT
ejpam-6660	144	4	by	by	ADP
ejpam-6660	144	5	(	(	PUNCT
ejpam-6660	144	6	18	18	NUM
ejpam-6660	144	7	)	)	PUNCT
ejpam-6660	144	8	and	and	CCONJ
ejpam-6660	144	9	(	(	PUNCT
ejpam-6660	144	10	34	34	NUM
ejpam-6660	144	11	)	)	PUNCT
ejpam-6660	144	12	,	,	PUNCT
ejpam-6660	144	13	we	we	PRON
ejpam-6660	144	14	obtain	obtain	VERB
ejpam-6660	144	15	(	(	PUNCT
ejpam-6660	144	16	33	33	NUM
ejpam-6660	144	17	)	)	PUNCT
ejpam-6660	144	18	.	.	PUNCT
ejpam-6660	145	1	theorem	theorem	ADJ
ejpam-6660	145	2	7	7	NUM
ejpam-6660	145	3	.	.	PUNCT
ejpam-6660	146	1	let	let	VERB
ejpam-6660	146	2	ε	ε	PROPN
ejpam-6660	146	3	≥	≥	PRON
ejpam-6660	146	4	0	0	NUM
ejpam-6660	146	5	.	.	PUNCT
ejpam-6660	147	1	then	then	ADV
ejpam-6660	147	2	bela(α	bela(α	VERB
ejpam-6660	147	3	)	)	PUNCT
ejpam-6660	147	4	ε	ε	PROPN
ejpam-6660	147	5	(	(	PUNCT
ejpam-6660	147	6	σ	σ	PROPN
ejpam-6660	147	7	,	,	PUNCT
ejpam-6660	147	8	ρ;µ	ρ;µ	NUM
ejpam-6660	147	9	)	)	PUNCT
ejpam-6660	148	1	=	=	SYM
ejpam-6660	149	1	ε∑	ε∑	PRON
ejpam-6660	149	2	s=0	s=0	X
ejpam-6660	149	3	s∑	s∑	X
ejpam-6660	149	4	δ=0	δ=0	PROPN
ejpam-6660	149	5	(	(	PUNCT
ejpam-6660	149	6	ε	ε	PROPN
ejpam-6660	149	7	s	s	PART
ejpam-6660	149	8	)	)	PUNCT
ejpam-6660	149	9	(	(	PUNCT
ejpam-6660	149	10	σ)δs2(s	σ)δs2(s	PROPN
ejpam-6660	149	11	,	,	PUNCT
ejpam-6660	149	12	δ)bela(α	δ)bela(α	ADV
ejpam-6660	149	13	)	)	PUNCT
ejpam-6660	149	14	ε	ε	PROPN
ejpam-6660	149	15	(	(	PUNCT
ejpam-6660	149	16	σ;µ	σ;µ	PROPN
ejpam-6660	149	17	)	)	PUNCT
ejpam-6660	149	18	.	.	PUNCT
ejpam-6660	150	1	(	(	PUNCT
ejpam-6660	150	2	35	35	NUM
ejpam-6660	150	3	)	)	PUNCT
ejpam-6660	150	4	proof	proof	NOUN
ejpam-6660	150	5	.	.	PUNCT
ejpam-6660	151	1	by	by	ADP
ejpam-6660	151	2	(	(	PUNCT
ejpam-6660	151	3	18	18	NUM
ejpam-6660	151	4	)	)	PUNCT
ejpam-6660	151	5	,	,	PUNCT
ejpam-6660	151	6	we	we	PRON
ejpam-6660	151	7	note	note	VERB
ejpam-6660	151	8	that	that	SCONJ
ejpam-6660	151	9	∞∑	∞∑	NUM
ejpam-6660	151	10	ε=0	ε=0	PUNCT
ejpam-6660	151	11	bela(α	bela(α	NOUN
ejpam-6660	151	12	)	)	PUNCT
ejpam-6660	151	13	ε	ε	PROPN
ejpam-6660	151	14	(	(	PUNCT
ejpam-6660	151	15	σ	σ	PROPN
ejpam-6660	151	16	,	,	PUNCT
ejpam-6660	151	17	ρ;µ	ρ;µ	NUM
ejpam-6660	151	18	)	)	PUNCT
ejpam-6660	151	19	ζε	ζε	X
ejpam-6660	151	20	ε	ε	PROPN
ejpam-6660	151	21	!	!	PUNCT
ejpam-6660	151	22	=	=	PRON
ejpam-6660	151	23	(	(	PUNCT
ejpam-6660	151	24	1−	1−	NUM
ejpam-6660	151	25	µ	µ	X
ejpam-6660	151	26	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	151	27	)	)	PUNCT
ejpam-6660	151	28	−	−	PROPN
ejpam-6660	151	29	µ	µ	X
ejpam-6660	151	30	)	)	PUNCT
ejpam-6660	151	31	α	α	PROPN
ejpam-6660	151	32	eρ(e	eρ(e	PUNCT
ejpam-6660	151	33	ζ−1)[eζ−1	ζ−1)[eζ−1	PUNCT
ejpam-6660	151	34	+	+	NOUN
ejpam-6660	151	35	1]σ	1]σ	NOUN
ejpam-6660	151	36	=	=	SYM
ejpam-6660	151	37	(	(	PUNCT
ejpam-6660	151	38	1−	1−	NUM
ejpam-6660	151	39	µ	µ	X
ejpam-6660	151	40	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	151	41	)	)	PUNCT
ejpam-6660	151	42	−	−	PROPN
ejpam-6660	151	43	µ	µ	X
ejpam-6660	151	44	)	)	PUNCT
ejpam-6660	151	45	α	α	PROPN
ejpam-6660	151	46	eρ(e	eρ(e	PUNCT
ejpam-6660	151	47	ζ−1	ζ−1	PROPN
ejpam-6660	151	48	)	)	PUNCT
ejpam-6660	151	49	∞∑	∞∑	PROPN
ejpam-6660	151	50	δ=0	δ=0	PUNCT
ejpam-6660	151	51	(	(	PUNCT
ejpam-6660	151	52	σ)δ	σ)δ	X
ejpam-6660	151	53	(	(	PUNCT
ejpam-6660	151	54	eζ	eζ	ADP
ejpam-6660	151	55	−	−	PROPN
ejpam-6660	151	56	1)δ	1)δ	NUM
ejpam-6660	151	57	δ	δ	PROPN
ejpam-6660	151	58	!	!	PUNCT
ejpam-6660	152	1	=	=	PUNCT
ejpam-6660	153	1	∞∑	∞∑	NUM
ejpam-6660	153	2	ε=0	ε=0	VERB
ejpam-6660	153	3	bela(α	bela(α	NOUN
ejpam-6660	153	4	)	)	PUNCT
ejpam-6660	153	5	ε	ε	PROPN
ejpam-6660	153	6	(	(	PUNCT
ejpam-6660	153	7	ρ;µ	ρ;µ	PROPN
ejpam-6660	153	8	)	)	PUNCT
ejpam-6660	153	9	ζε	ζε	X
ejpam-6660	153	10	ε	ε	PROPN
ejpam-6660	153	11	!	!	PUNCT
ejpam-6660	154	1	∞∑	∞∑	NUM
ejpam-6660	154	2	s=0	s=0	NOUN
ejpam-6660	154	3	s∑	s∑	PROPN
ejpam-6660	154	4	δ=0	δ=0	PROPN
ejpam-6660	154	5	(	(	PUNCT
ejpam-6660	154	6	σ)δs2(s	σ)δs2(s	PROPN
ejpam-6660	154	7	,	,	PUNCT
ejpam-6660	154	8	δ	δ	PROPN
ejpam-6660	154	9	)	)	PUNCT
ejpam-6660	154	10	ζs	ζs	ADP
ejpam-6660	154	11	s	s	PROPN
ejpam-6660	154	12	!	!	PUNCT
ejpam-6660	155	1	=	=	NOUN
ejpam-6660	156	1	∞∑	∞∑	NUM
ejpam-6660	156	2	ε=0	ε=0	X
ejpam-6660	156	3	(	(	PUNCT
ejpam-6660	156	4	ε∑	ε∑	X
ejpam-6660	156	5	s=0	s=0	X
ejpam-6660	156	6	s∑	s∑	PROPN
ejpam-6660	156	7	δ=0	δ=0	PROPN
ejpam-6660	156	8	(	(	PUNCT
ejpam-6660	156	9	ε	ε	PROPN
ejpam-6660	156	10	s	s	PART
ejpam-6660	156	11	)	)	PUNCT
ejpam-6660	156	12	(	(	PUNCT
ejpam-6660	156	13	σ)δs2(s	σ)δs2(s	PROPN
ejpam-6660	156	14	,	,	PUNCT
ejpam-6660	156	15	δ)bela(α	δ)bela(α	ADV
ejpam-6660	156	16	)	)	PUNCT
ejpam-6660	156	17	ε	ε	PROPN
ejpam-6660	156	18	(	(	PUNCT
ejpam-6660	156	19	ρ;µ	ρ;µ	NUM
ejpam-6660	156	20	)	)	PUNCT
ejpam-6660	156	21	)	)	PUNCT
ejpam-6660	156	22	ζε	ζε	ADP
ejpam-6660	156	23	ε	ε	PROPN
ejpam-6660	156	24	!	!	PUNCT
ejpam-6660	156	25	.	.	PUNCT
ejpam-6660	157	1	(	(	PUNCT
ejpam-6660	157	2	36	36	NUM
ejpam-6660	157	3	)	)	PUNCT
ejpam-6660	157	4	in	in	ADP
ejpam-6660	157	5	view	view	NOUN
ejpam-6660	157	6	of	of	ADP
ejpam-6660	157	7	(	(	PUNCT
ejpam-6660	157	8	18	18	NUM
ejpam-6660	157	9	)	)	PUNCT
ejpam-6660	157	10	and	and	CCONJ
ejpam-6660	157	11	(	(	PUNCT
ejpam-6660	157	12	36	36	NUM
ejpam-6660	157	13	)	)	PUNCT
ejpam-6660	157	14	,	,	PUNCT
ejpam-6660	157	15	we	we	PRON
ejpam-6660	157	16	get	get	VERB
ejpam-6660	157	17	(	(	PUNCT
ejpam-6660	157	18	35	35	NUM
ejpam-6660	157	19	)	)	PUNCT
ejpam-6660	157	20	.	.	PUNCT
ejpam-6660	158	1	m.	m.	PROPN
ejpam-6660	158	2	sharma	sharma	PROPN
ejpam-6660	158	3	et	et	PROPN
ejpam-6660	158	4	al	al	PROPN
ejpam-6660	158	5	.	.	PUNCT
ejpam-6660	158	6	/	/	SYM
ejpam-6660	158	7	eur	eur	PROPN
ejpam-6660	158	8	.	.	PUNCT
ejpam-6660	159	1	j.	j.	PROPN
ejpam-6660	159	2	pure	pure	PROPN
ejpam-6660	159	3	appl	appl	PROPN
ejpam-6660	159	4	.	.	PROPN
ejpam-6660	159	5	math	math	PROPN
ejpam-6660	159	6	,	,	PUNCT
ejpam-6660	159	7	18	18	NUM
ejpam-6660	159	8	(	(	PUNCT
ejpam-6660	159	9	3	3	NUM
ejpam-6660	159	10	)	)	PUNCT
ejpam-6660	159	11	(	(	PUNCT
ejpam-6660	159	12	2025	2025	NUM
ejpam-6660	159	13	)	)	PUNCT
ejpam-6660	159	14	,	,	PUNCT
ejpam-6660	159	15	6660	6660	NUM
ejpam-6660	159	16	7	7	NUM
ejpam-6660	159	17	of	of	ADP
ejpam-6660	159	18	19	19	NUM
ejpam-6660	159	19	3	3	NUM
ejpam-6660	159	20	.	.	PUNCT
ejpam-6660	159	21	summation	summation	NOUN
ejpam-6660	159	22	formulae	formulae	NOUN
ejpam-6660	159	23	here	here	ADV
ejpam-6660	159	24	,	,	PUNCT
ejpam-6660	159	25	we	we	PRON
ejpam-6660	159	26	investigate	investigate	VERB
ejpam-6660	159	27	several	several	ADJ
ejpam-6660	159	28	implicit	implicit	ADJ
ejpam-6660	159	29	formulas	formula	NOUN
ejpam-6660	159	30	and	and	CCONJ
ejpam-6660	159	31	symmetric	symmetric	ADJ
ejpam-6660	159	32	relations	relation	NOUN
ejpam-6660	159	33	for	for	ADP
ejpam-6660	159	34	bell	bell	NOUN
ejpam-6660	159	35	-	-	PUNCT
ejpam-6660	159	36	based	base	VERB
ejpam-6660	159	37	frobeniustype	frobeniustype	NOUN
ejpam-6660	159	38	eulerian	eulerian	ADJ
ejpam-6660	159	39	polynomials	polynomial	NOUN
ejpam-6660	159	40	of	of	ADP
ejpam-6660	159	41	order	order	NOUN
ejpam-6660	159	42	α	α	X
ejpam-6660	159	43	.	.	PUNCT
ejpam-6660	159	44	theorem	theorem	ADJ
ejpam-6660	159	45	8	8	NUM
ejpam-6660	159	46	.	.	PUNCT
ejpam-6660	160	1	the	the	DET
ejpam-6660	160	2	following	follow	VERB
ejpam-6660	160	3	formula	formula	NOUN
ejpam-6660	160	4	is	be	AUX
ejpam-6660	160	5	correct	correct	ADJ
ejpam-6660	160	6	:	:	PUNCT
ejpam-6660	160	7	bela	bela	NOUN
ejpam-6660	160	8	(	(	PUNCT
ejpam-6660	160	9	α	α	NOUN
ejpam-6660	160	10	)	)	PUNCT
ejpam-6660	160	11	h+f	h+f	PROPN
ejpam-6660	160	12	(	(	PUNCT
ejpam-6660	160	13	σ	σ	PROPN
ejpam-6660	160	14	,	,	PUNCT
ejpam-6660	160	15	ρ;µ	ρ;µ	NUM
ejpam-6660	160	16	)	)	PUNCT
ejpam-6660	161	1	=	=	SYM
ejpam-6660	161	2	h	h	NOUN
ejpam-6660	161	3	,	,	PUNCT
ejpam-6660	161	4	f∑	f∑	PROPN
ejpam-6660	161	5	ε	ε	PROPN
ejpam-6660	161	6	,	,	PUNCT
ejpam-6660	161	7	s=0	s=0	PROPN
ejpam-6660	161	8	(	(	PUNCT
ejpam-6660	161	9	f	f	PROPN
ejpam-6660	161	10	s	s	PART
ejpam-6660	161	11	)	)	PUNCT
ejpam-6660	161	12	(	(	PUNCT
ejpam-6660	161	13	h	h	NOUN
ejpam-6660	161	14	ε	ε	PROPN
ejpam-6660	161	15	)	)	PUNCT
ejpam-6660	161	16	(	(	PUNCT
ejpam-6660	161	17	σ	σ	NOUN
ejpam-6660	161	18	−	−	NOUN
ejpam-6660	161	19	ζ)ε+s	ζ)ε+s	NOUN
ejpam-6660	161	20	bela	bela	NOUN
ejpam-6660	161	21	(	(	PUNCT
ejpam-6660	161	22	α	α	NOUN
ejpam-6660	161	23	)	)	PUNCT
ejpam-6660	161	24	h+f−ε−s(ζ	h+f−ε−s(ζ	NOUN
ejpam-6660	161	25	,	,	PUNCT
ejpam-6660	161	26	η;µ	η;µ	NUM
ejpam-6660	161	27	)	)	PUNCT
ejpam-6660	161	28	.	.	PUNCT
ejpam-6660	162	1	(	(	PUNCT
ejpam-6660	162	2	37	37	NUM
ejpam-6660	162	3	)	)	PUNCT
ejpam-6660	162	4	proof	proof	NOUN
ejpam-6660	162	5	.	.	PUNCT
ejpam-6660	163	1	by	by	ADP
ejpam-6660	163	2	replacing	replace	VERB
ejpam-6660	163	3	z	z	NOUN
ejpam-6660	163	4	by	by	ADP
ejpam-6660	163	5	z	z	PROPN
ejpam-6660	163	6	+	+	CCONJ
ejpam-6660	163	7	w	w	NOUN
ejpam-6660	163	8	in	in	ADP
ejpam-6660	163	9	(	(	PUNCT
ejpam-6660	163	10	18	18	NUM
ejpam-6660	163	11	)	)	PUNCT
ejpam-6660	163	12	,	,	PUNCT
ejpam-6660	163	13	we	we	PRON
ejpam-6660	163	14	see	see	VERB
ejpam-6660	163	15	that	that	SCONJ
ejpam-6660	163	16	(	(	PUNCT
ejpam-6660	163	17	1−	1−	NUM
ejpam-6660	163	18	µ	µ	X
ejpam-6660	163	19	e(µ−1)(z+w	e(µ−1)(z+w	PROPN
ejpam-6660	163	20	)	)	PUNCT
ejpam-6660	163	21	−	−	PROPN
ejpam-6660	163	22	µ	µ	X
ejpam-6660	163	23	)	)	PUNCT
ejpam-6660	163	24	α	α	PROPN
ejpam-6660	163	25	eη(e	eη(e	ADJ
ejpam-6660	163	26	z+w−1	z+w−1	NUM
ejpam-6660	163	27	)	)	PUNCT
ejpam-6660	163	28	=	=	SYM
ejpam-6660	164	1	e−ξ(z+w	e−ξ(z+w	NOUN
ejpam-6660	164	2	)	)	PUNCT
ejpam-6660	164	3	∞∑	∞∑	NUM
ejpam-6660	164	4	h	h	NOUN
ejpam-6660	164	5	,	,	PUNCT
ejpam-6660	164	6	f=0	f=0	X
ejpam-6660	164	7	bela	bela	X
ejpam-6660	164	8	(	(	PUNCT
ejpam-6660	164	9	α	α	NOUN
ejpam-6660	164	10	)	)	PUNCT
ejpam-6660	164	11	h+f	h+f	PROPN
ejpam-6660	164	12	(	(	PUNCT
ejpam-6660	164	13	σ	σ	PROPN
ejpam-6660	164	14	,	,	PUNCT
ejpam-6660	164	15	ρ;µ	ρ;µ	NUM
ejpam-6660	164	16	)	)	PUNCT
ejpam-6660	164	17	zh	zh	PROPN
ejpam-6660	165	1	h	h	PROPN
ejpam-6660	165	2	!	!	PUNCT
ejpam-6660	166	1	wf	wf	PROPN
ejpam-6660	166	2	f	f	PROPN
ejpam-6660	166	3	!	!	PUNCT
ejpam-6660	166	4	.	.	PUNCT
ejpam-6660	167	1	(	(	PUNCT
ejpam-6660	167	2	38	38	NUM
ejpam-6660	167	3	)	)	PUNCT
ejpam-6660	167	4	also	also	ADV
ejpam-6660	167	5	by	by	ADP
ejpam-6660	167	6	replacing	replace	VERB
ejpam-6660	167	7	ξ	ξ	PROPN
ejpam-6660	167	8	by	by	ADP
ejpam-6660	167	9	ζ	ζ	NOUN
ejpam-6660	167	10	in	in	ADP
ejpam-6660	167	11	(	(	PUNCT
ejpam-6660	167	12	38	38	NUM
ejpam-6660	167	13	)	)	PUNCT
ejpam-6660	167	14	,	,	PUNCT
ejpam-6660	167	15	we	we	PRON
ejpam-6660	167	16	acquire	acquire	VERB
ejpam-6660	167	17	e−ζ(z+w	e−ζ(z+w	NOUN
ejpam-6660	167	18	)	)	PUNCT
ejpam-6660	167	19	∞∑	∞∑	NUM
ejpam-6660	167	20	h	h	NOUN
ejpam-6660	167	21	,	,	PUNCT
ejpam-6660	167	22	f=0	f=0	X
ejpam-6660	167	23	bela	bela	X
ejpam-6660	167	24	(	(	PUNCT
ejpam-6660	167	25	α	α	NOUN
ejpam-6660	167	26	)	)	PUNCT
ejpam-6660	167	27	h+f	h+f	PROPN
ejpam-6660	167	28	(	(	PUNCT
ejpam-6660	167	29	ζ	ζ	NOUN
ejpam-6660	167	30	,	,	PUNCT
ejpam-6660	167	31	ρ;µ	ρ;µ	NUM
ejpam-6660	167	32	)	)	PUNCT
ejpam-6660	167	33	zh	zh	PROPN
ejpam-6660	168	1	h	h	PROPN
ejpam-6660	168	2	!	!	PUNCT
ejpam-6660	169	1	wf	wf	PROPN
ejpam-6660	169	2	f	f	PROPN
ejpam-6660	169	3	!	!	PUNCT
ejpam-6660	170	1	=	=	PUNCT
ejpam-6660	170	2	(	(	PUNCT
ejpam-6660	170	3	1−	1−	NUM
ejpam-6660	170	4	µ	µ	PRON
ejpam-6660	170	5	e(µ−1)(z+w	e(µ−1)(z+w	PROPN
ejpam-6660	170	6	)	)	PUNCT
ejpam-6660	170	7	−	−	PROPN
ejpam-6660	170	8	µ	µ	X
ejpam-6660	170	9	)	)	PUNCT
ejpam-6660	170	10	α	α	PROPN
ejpam-6660	170	11	eρ(e	eρ(e	NOUN
ejpam-6660	170	12	z+w−1	z+w−1	NUM
ejpam-6660	170	13	)	)	PUNCT
ejpam-6660	170	14	(	(	PUNCT
ejpam-6660	170	15	39	39	NUM
ejpam-6660	170	16	)	)	PUNCT
ejpam-6660	170	17	e(σ−ζ)(z+w	e(σ−ζ)(z+w	NOUN
ejpam-6660	170	18	)	)	PUNCT
ejpam-6660	170	19	∞∑	∞∑	NUM
ejpam-6660	170	20	h	h	NOUN
ejpam-6660	170	21	,	,	PUNCT
ejpam-6660	170	22	f=0	f=0	X
ejpam-6660	170	23	bela	bela	X
ejpam-6660	170	24	(	(	PUNCT
ejpam-6660	170	25	α	α	NOUN
ejpam-6660	170	26	)	)	PUNCT
ejpam-6660	170	27	h+f	h+f	PROPN
ejpam-6660	170	28	(	(	PUNCT
ejpam-6660	170	29	ζ	ζ	NOUN
ejpam-6660	170	30	,	,	PUNCT
ejpam-6660	170	31	ρ;µ	ρ;µ	NUM
ejpam-6660	170	32	)	)	PUNCT
ejpam-6660	170	33	zh	zh	PROPN
ejpam-6660	171	1	h	h	PROPN
ejpam-6660	171	2	!	!	PUNCT
ejpam-6660	172	1	wf	wf	PROPN
ejpam-6660	172	2	f	f	PROPN
ejpam-6660	172	3	!	!	PUNCT
ejpam-6660	173	1	=	=	PUNCT
ejpam-6660	174	1	∞∑	∞∑	NUM
ejpam-6660	174	2	h	h	NOUN
ejpam-6660	174	3	,	,	PUNCT
ejpam-6660	174	4	f=0	f=0	X
ejpam-6660	174	5	bela	bela	X
ejpam-6660	174	6	(	(	PUNCT
ejpam-6660	174	7	α	α	NOUN
ejpam-6660	174	8	)	)	PUNCT
ejpam-6660	174	9	h+f	h+f	PROPN
ejpam-6660	174	10	(	(	PUNCT
ejpam-6660	174	11	σ	σ	PROPN
ejpam-6660	174	12	,	,	PUNCT
ejpam-6660	174	13	ρ;µ	ρ;µ	NUM
ejpam-6660	174	14	)	)	PUNCT
ejpam-6660	174	15	zh	zh	PROPN
ejpam-6660	174	16	h	h	PROPN
ejpam-6660	174	17	!	!	PUNCT
ejpam-6660	175	1	wf	wf	PROPN
ejpam-6660	175	2	f	f	PROPN
ejpam-6660	175	3	!	!	PUNCT
ejpam-6660	176	1	(	(	PUNCT
ejpam-6660	176	2	40	40	NUM
ejpam-6660	176	3	)	)	PUNCT
ejpam-6660	177	1	∞∑	∞∑	PRON
ejpam-6660	177	2	n=0	n=0	PUNCT
ejpam-6660	178	1	[	[	X
ejpam-6660	178	2	(	(	PUNCT
ejpam-6660	178	3	σ	σ	PROPN
ejpam-6660	178	4	−	−	NOUN
ejpam-6660	178	5	ζ)(z	ζ)(z	NOUN
ejpam-6660	178	6	+	+	CCONJ
ejpam-6660	178	7	w)]n	w)]n	ADJ
ejpam-6660	178	8	n	n	NOUN
ejpam-6660	178	9	!	!	PUNCT
ejpam-6660	179	1	∞∑	∞∑	NUM
ejpam-6660	179	2	h	h	NOUN
ejpam-6660	179	3	,	,	PUNCT
ejpam-6660	179	4	f=0	f=0	X
ejpam-6660	179	5	bela	bela	X
ejpam-6660	179	6	(	(	PUNCT
ejpam-6660	179	7	α	α	NOUN
ejpam-6660	179	8	)	)	PUNCT
ejpam-6660	179	9	h+f	h+f	PROPN
ejpam-6660	179	10	(	(	PUNCT
ejpam-6660	179	11	ζ	ζ	NOUN
ejpam-6660	179	12	,	,	PUNCT
ejpam-6660	179	13	η;µ	η;µ	ADJ
ejpam-6660	179	14	)	)	PUNCT
ejpam-6660	179	15	zh	zh	PROPN
ejpam-6660	180	1	h	h	NOUN
ejpam-6660	180	2	!	!	PUNCT
ejpam-6660	181	1	wf	wf	PROPN
ejpam-6660	181	2	f	f	PROPN
ejpam-6660	181	3	!	!	PUNCT
ejpam-6660	182	1	=	=	PUNCT
ejpam-6660	183	1	∞∑	∞∑	NUM
ejpam-6660	183	2	h	h	NOUN
ejpam-6660	183	3	,	,	PUNCT
ejpam-6660	183	4	f=0	f=0	X
ejpam-6660	183	5	bela	bela	X
ejpam-6660	183	6	(	(	PUNCT
ejpam-6660	183	7	α	α	NOUN
ejpam-6660	183	8	)	)	PUNCT
ejpam-6660	183	9	h+f	h+f	PROPN
ejpam-6660	183	10	(	(	PUNCT
ejpam-6660	183	11	σ	σ	PROPN
ejpam-6660	183	12	,	,	PUNCT
ejpam-6660	183	13	ρ;µ	ρ;µ	NUM
ejpam-6660	183	14	)	)	PUNCT
ejpam-6660	183	15	zh	zh	PROPN
ejpam-6660	183	16	h	h	PROPN
ejpam-6660	183	17	!	!	PUNCT
ejpam-6660	184	1	wf	wf	PROPN
ejpam-6660	184	2	f	f	PROPN
ejpam-6660	184	3	!	!	PUNCT
ejpam-6660	184	4	.	.	PUNCT
ejpam-6660	185	1	(	(	PUNCT
ejpam-6660	185	2	41	41	NUM
ejpam-6660	185	3	)	)	PUNCT
ejpam-6660	185	4	using	use	VERB
ejpam-6660	185	5	the	the	DET
ejpam-6660	185	6	formula	formula	NOUN
ejpam-6660	185	7	[	[	X
ejpam-6660	185	8	16	16	NUM
ejpam-6660	185	9	]	]	PUNCT
ejpam-6660	185	10	∞∑	∞∑	NUM
ejpam-6660	185	11	n=0	n=0	NUM
ejpam-6660	185	12	f(n	f(n	PROPN
ejpam-6660	185	13	)	)	PUNCT
ejpam-6660	185	14	(	(	PUNCT
ejpam-6660	185	15	ζ	ζ	NOUN
ejpam-6660	185	16	+	+	ADJ
ejpam-6660	185	17	η)n	η)n	NOUN
ejpam-6660	185	18	n	n	X
ejpam-6660	185	19	!	!	PUNCT
ejpam-6660	186	1	=	=	NOUN
ejpam-6660	187	1	∞∑	∞∑	NUM
ejpam-6660	187	2	ε	ε	PROPN
ejpam-6660	187	3	,	,	PUNCT
ejpam-6660	187	4	δ=0	δ=0	PROPN
ejpam-6660	187	5	f(ε+	f(ε+	PROPN
ejpam-6660	187	6	δ	δ	PROPN
ejpam-6660	187	7	)	)	PUNCT
ejpam-6660	187	8	ζε	ζε	PROPN
ejpam-6660	187	9	ε	ε	PROPN
ejpam-6660	187	10	!	!	PUNCT
ejpam-6660	187	11	ηδ	ηδ	PROPN
ejpam-6660	187	12	δ	δ	PROPN
ejpam-6660	187	13	!	!	PROPN
ejpam-6660	187	14	,	,	PUNCT
ejpam-6660	187	15	(	(	PUNCT
ejpam-6660	187	16	42	42	X
ejpam-6660	187	17	)	)	PUNCT
ejpam-6660	187	18	we	we	PRON
ejpam-6660	187	19	then	then	ADV
ejpam-6660	187	20	obtain	obtain	VERB
ejpam-6660	187	21	∞∑	∞∑	PROPN
ejpam-6660	187	22	j	j	PROPN
ejpam-6660	187	23	,	,	PUNCT
ejpam-6660	187	24	s=0	s=0	PROPN
ejpam-6660	187	25	(	(	PUNCT
ejpam-6660	187	26	ξ	ξ	X
ejpam-6660	187	27	−	−	NOUN
ejpam-6660	187	28	ζ)j+szjws	ζ)j+szjws	NOUN
ejpam-6660	187	29	j!s	j!s	NOUN
ejpam-6660	187	30	!	!	PUNCT
ejpam-6660	188	1	∞∑	∞∑	NUM
ejpam-6660	188	2	h	h	NOUN
ejpam-6660	188	3	,	,	PUNCT
ejpam-6660	188	4	f=0	f=0	X
ejpam-6660	188	5	bela	bela	X
ejpam-6660	188	6	(	(	PUNCT
ejpam-6660	188	7	α	α	NOUN
ejpam-6660	188	8	)	)	PUNCT
ejpam-6660	188	9	h+f	h+f	PROPN
ejpam-6660	188	10	(	(	PUNCT
ejpam-6660	188	11	ζ	ζ	NOUN
ejpam-6660	188	12	,	,	PUNCT
ejpam-6660	188	13	η;µ	η;µ	ADJ
ejpam-6660	188	14	)	)	PUNCT
ejpam-6660	188	15	zh	zh	PROPN
ejpam-6660	189	1	h	h	NOUN
ejpam-6660	189	2	!	!	PUNCT
ejpam-6660	190	1	wf	wf	PROPN
ejpam-6660	190	2	f	f	PROPN
ejpam-6660	190	3	!	!	PUNCT
ejpam-6660	191	1	=	=	PUNCT
ejpam-6660	192	1	∞∑	∞∑	NUM
ejpam-6660	192	2	h	h	NOUN
ejpam-6660	192	3	,	,	PUNCT
ejpam-6660	192	4	f=0	f=0	X
ejpam-6660	192	5	bela	bela	X
ejpam-6660	192	6	(	(	PUNCT
ejpam-6660	192	7	α	α	NOUN
ejpam-6660	192	8	)	)	PUNCT
ejpam-6660	192	9	h+f	h+f	PROPN
ejpam-6660	192	10	(	(	PUNCT
ejpam-6660	192	11	σ	σ	PROPN
ejpam-6660	192	12	,	,	PUNCT
ejpam-6660	192	13	ρ;µ	ρ;µ	NUM
ejpam-6660	192	14	)	)	PUNCT
ejpam-6660	192	15	zh	zh	PROPN
ejpam-6660	192	16	h	h	PROPN
ejpam-6660	192	17	!	!	PUNCT
ejpam-6660	193	1	wf	wf	PROPN
ejpam-6660	193	2	f	f	PROPN
ejpam-6660	193	3	!	!	PUNCT
ejpam-6660	193	4	.	.	PUNCT
ejpam-6660	194	1	(	(	PUNCT
ejpam-6660	194	2	43	43	NUM
ejpam-6660	194	3	)	)	PUNCT
ejpam-6660	194	4	thus	thus	ADV
ejpam-6660	194	5	we	we	PRON
ejpam-6660	194	6	have	have	VERB
ejpam-6660	194	7	∞∑	∞∑	NUM
ejpam-6660	194	8	h	h	NOUN
ejpam-6660	194	9	,	,	PUNCT
ejpam-6660	194	10	f=0	f=0	PROPN
ejpam-6660	194	11	h	h	NOUN
ejpam-6660	194	12	,	,	PUNCT
ejpam-6660	194	13	f∑	f∑	PROPN
ejpam-6660	194	14	ε	ε	PROPN
ejpam-6660	194	15	,	,	PUNCT
ejpam-6660	194	16	s=0	s=0	PROPN
ejpam-6660	194	17	(	(	PUNCT
ejpam-6660	194	18	σ	σ	NOUN
ejpam-6660	194	19	−	−	PROPN
ejpam-6660	194	20	ζ)ε+s	ζ)ε+s	NOUN
ejpam-6660	194	21	ε!s	ε!s	PROPN
ejpam-6660	194	22	!	!	PUNCT
ejpam-6660	194	23	bela	bela	PROPN
ejpam-6660	194	24	(	(	PUNCT
ejpam-6660	194	25	α	α	NOUN
ejpam-6660	194	26	)	)	PUNCT
ejpam-6660	194	27	h+f−ε−s(ζ	h+f−ε−s(ζ	NOUN
ejpam-6660	194	28	,	,	PUNCT
ejpam-6660	194	29	ρ;µ	ρ;µ	NUM
ejpam-6660	194	30	)	)	PUNCT
ejpam-6660	195	1	zh	zh	PROPN
ejpam-6660	195	2	(	(	PUNCT
ejpam-6660	195	3	h−	h−	PROPN
ejpam-6660	195	4	j	j	PROPN
ejpam-6660	195	5	)	)	PUNCT
ejpam-6660	195	6	!	!	PUNCT
ejpam-6660	196	1	wf	wf	PROPN
ejpam-6660	196	2	(	(	PUNCT
ejpam-6660	196	3	f	f	PROPN
ejpam-6660	196	4	−	−	PROPN
ejpam-6660	196	5	s	s	PART
ejpam-6660	196	6	)	)	PUNCT
ejpam-6660	196	7	!	!	PUNCT
ejpam-6660	197	1	=	=	PUNCT
ejpam-6660	198	1	∞∑	∞∑	NUM
ejpam-6660	198	2	h	h	NOUN
ejpam-6660	198	3	,	,	PUNCT
ejpam-6660	198	4	f=0	f=0	X
ejpam-6660	198	5	bela	bela	X
ejpam-6660	198	6	(	(	PUNCT
ejpam-6660	198	7	α	α	NOUN
ejpam-6660	198	8	)	)	PUNCT
ejpam-6660	198	9	h+f	h+f	PROPN
ejpam-6660	198	10	(	(	PUNCT
ejpam-6660	198	11	σ	σ	PROPN
ejpam-6660	198	12	,	,	PUNCT
ejpam-6660	198	13	ρ;µ	ρ;µ	NUM
ejpam-6660	198	14	)	)	PUNCT
ejpam-6660	198	15	zh	zh	PROPN
ejpam-6660	198	16	h	h	PROPN
ejpam-6660	198	17	!	!	PUNCT
ejpam-6660	199	1	wf	wf	PROPN
ejpam-6660	199	2	f	f	PROPN
ejpam-6660	199	3	!	!	PUNCT
ejpam-6660	200	1	,	,	PUNCT
ejpam-6660	200	2	(	(	PUNCT
ejpam-6660	200	3	44	44	NUM
ejpam-6660	200	4	)	)	PUNCT
ejpam-6660	200	5	which	which	PRON
ejpam-6660	200	6	implies	imply	VERB
ejpam-6660	200	7	the	the	DET
ejpam-6660	200	8	claimed	claim	VERB
ejpam-6660	200	9	result	result	NOUN
ejpam-6660	200	10	.	.	PUNCT
ejpam-6660	201	1	remark	remark	VERB
ejpam-6660	201	2	4	4	NUM
ejpam-6660	201	3	.	.	PUNCT
ejpam-6660	201	4	permitting	permit	VERB
ejpam-6660	201	5	f	f	NOUN
ejpam-6660	201	6	=	=	SYM
ejpam-6660	201	7	0	0	NUM
ejpam-6660	201	8	in	in	ADP
ejpam-6660	201	9	(	(	PUNCT
ejpam-6660	201	10	37	37	NUM
ejpam-6660	201	11	)	)	PUNCT
ejpam-6660	201	12	,	,	PUNCT
ejpam-6660	201	13	we	we	PRON
ejpam-6660	201	14	get	get	VERB
ejpam-6660	201	15	bela	bela	NOUN
ejpam-6660	201	16	(	(	PUNCT
ejpam-6660	201	17	α	α	NOUN
ejpam-6660	201	18	)	)	PUNCT
ejpam-6660	201	19	θ	θ	PROPN
ejpam-6660	201	20	(	(	PUNCT
ejpam-6660	201	21	σ	σ	PROPN
ejpam-6660	201	22	,	,	PUNCT
ejpam-6660	201	23	ρ;µ	ρ;µ	NUM
ejpam-6660	201	24	)	)	PUNCT
ejpam-6660	202	1	=	=	PUNCT
ejpam-6660	202	2	h∑	h∑	NOUN
ejpam-6660	202	3	ε=0	ε=0	X
ejpam-6660	202	4	(	(	PUNCT
ejpam-6660	202	5	h	h	NOUN
ejpam-6660	202	6	ε	ε	PROPN
ejpam-6660	202	7	)	)	PUNCT
ejpam-6660	202	8	(	(	PUNCT
ejpam-6660	202	9	σ	σ	PROPN
ejpam-6660	202	10	−	−	PROPN
ejpam-6660	202	11	ζ)εbela	ζ)εbela	PROPN
ejpam-6660	202	12	(	(	PUNCT
ejpam-6660	202	13	α	α	NOUN
ejpam-6660	202	14	)	)	PUNCT
ejpam-6660	202	15	h−ε(ζ	h−ε(ζ	PROPN
ejpam-6660	202	16	,	,	PUNCT
ejpam-6660	202	17	ρ;µ	ρ;µ	NUM
ejpam-6660	202	18	)	)	PUNCT
ejpam-6660	202	19	(	(	PUNCT
ejpam-6660	202	20	ε	ε	PROPN
ejpam-6660	202	21	≥	≥	PROPN
ejpam-6660	202	22	0	0	NUM
ejpam-6660	202	23	)	)	PUNCT
ejpam-6660	202	24	.	.	PUNCT
ejpam-6660	203	1	(	(	PUNCT
ejpam-6660	203	2	45	45	NUM
ejpam-6660	203	3	)	)	PUNCT
ejpam-6660	203	4	remark	remark	NOUN
ejpam-6660	203	5	5	5	NUM
ejpam-6660	203	6	.	.	PUNCT
ejpam-6660	204	1	replace	replace	VERB
ejpam-6660	204	2	σ	σ	PROPN
ejpam-6660	204	3	→	→	SYM
ejpam-6660	204	4	σ	σ	PROPN
ejpam-6660	204	5	+	+	CCONJ
ejpam-6660	204	6	ζ	ζ	NOUN
ejpam-6660	204	7	and	and	CCONJ
ejpam-6660	204	8	setting	set	VERB
ejpam-6660	204	9	ρ	ρ	NOUN
ejpam-6660	204	10	=	=	SYM
ejpam-6660	204	11	0	0	NUM
ejpam-6660	204	12	in	in	ADP
ejpam-6660	204	13	(	(	PUNCT
ejpam-6660	204	14	37	37	NUM
ejpam-6660	204	15	)	)	PUNCT
ejpam-6660	204	16	,	,	PUNCT
ejpam-6660	204	17	we	we	PRON
ejpam-6660	204	18	obtain	obtain	VERB
ejpam-6660	204	19	m.	m.	NOUN
ejpam-6660	204	20	sharma	sharma	PROPN
ejpam-6660	204	21	et	et	PROPN
ejpam-6660	204	22	al	al	PROPN
ejpam-6660	204	23	.	.	PUNCT
ejpam-6660	204	24	/	/	SYM
ejpam-6660	204	25	eur	eur	PROPN
ejpam-6660	204	26	.	.	PUNCT
ejpam-6660	205	1	j.	j.	PROPN
ejpam-6660	205	2	pure	pure	PROPN
ejpam-6660	205	3	appl	appl	PROPN
ejpam-6660	205	4	.	.	PROPN
ejpam-6660	205	5	math	math	PROPN
ejpam-6660	205	6	,	,	PUNCT
ejpam-6660	205	7	18	18	NUM
ejpam-6660	205	8	(	(	PUNCT
ejpam-6660	205	9	3	3	NUM
ejpam-6660	205	10	)	)	PUNCT
ejpam-6660	205	11	(	(	PUNCT
ejpam-6660	205	12	2025	2025	NUM
ejpam-6660	205	13	)	)	PUNCT
ejpam-6660	205	14	,	,	PUNCT
ejpam-6660	205	15	6660	6660	NUM
ejpam-6660	205	16	8	8	NUM
ejpam-6660	205	17	of	of	ADP
ejpam-6660	205	18	19	19	NUM
ejpam-6660	205	19	bela	bela	NOUN
ejpam-6660	205	20	(	(	PUNCT
ejpam-6660	205	21	α	α	NOUN
ejpam-6660	205	22	)	)	PUNCT
ejpam-6660	205	23	h+f	h+f	PROPN
ejpam-6660	205	24	(	(	PUNCT
ejpam-6660	205	25	σ	σ	X
ejpam-6660	205	26	+	+	NUM
ejpam-6660	205	27	ζ;µ	ζ;µ	NUM
ejpam-6660	205	28	)	)	PUNCT
ejpam-6660	205	29	=	=	SYM
ejpam-6660	205	30	h	h	NOUN
ejpam-6660	205	31	,	,	PUNCT
ejpam-6660	205	32	f∑	f∑	PROPN
ejpam-6660	205	33	ε	ε	PROPN
ejpam-6660	205	34	,	,	PUNCT
ejpam-6660	205	35	δ=0	δ=0	PROPN
ejpam-6660	205	36	(	(	PUNCT
ejpam-6660	205	37	f	f	PROPN
ejpam-6660	205	38	δ	δ	PROPN
ejpam-6660	205	39	)	)	PUNCT
ejpam-6660	205	40	(	(	PUNCT
ejpam-6660	205	41	h	h	NOUN
ejpam-6660	205	42	ε	ε	PROPN
ejpam-6660	205	43	)	)	PUNCT
ejpam-6660	205	44	σε+s	σε+s	NUM
ejpam-6660	205	45	bela	bela	NOUN
ejpam-6660	205	46	(	(	PUNCT
ejpam-6660	205	47	α	α	NOUN
ejpam-6660	205	48	)	)	PUNCT
ejpam-6660	205	49	h+f−ε−δ(ζ;µ	h+f−ε−δ(ζ;µ	NUM
ejpam-6660	205	50	)	)	PUNCT
ejpam-6660	205	51	.	.	PUNCT
ejpam-6660	206	1	(	(	PUNCT
ejpam-6660	206	2	46	46	NUM
ejpam-6660	206	3	)	)	PUNCT
ejpam-6660	206	4	again	again	ADV
ejpam-6660	206	5	,	,	PUNCT
ejpam-6660	206	6	by	by	ADP
ejpam-6660	206	7	permitting	permit	VERB
ejpam-6660	206	8	σ	σ	NOUN
ejpam-6660	206	9	=	=	SYM
ejpam-6660	206	10	0	0	NUM
ejpam-6660	206	11	in	in	ADP
ejpam-6660	206	12	(	(	PUNCT
ejpam-6660	206	13	37	37	NUM
ejpam-6660	206	14	)	)	PUNCT
ejpam-6660	206	15	,	,	PUNCT
ejpam-6660	206	16	we	we	PRON
ejpam-6660	206	17	obtain	obtain	VERB
ejpam-6660	206	18	bela	bela	NOUN
ejpam-6660	206	19	(	(	PUNCT
ejpam-6660	206	20	α	α	NOUN
ejpam-6660	206	21	)	)	PUNCT
ejpam-6660	206	22	h+f	h+f	X
ejpam-6660	206	23	(	(	PUNCT
ejpam-6660	206	24	ρ;µ	ρ;µ	NUM
ejpam-6660	206	25	)	)	PUNCT
ejpam-6660	206	26	=	=	SYM
ejpam-6660	206	27	h	h	NOUN
ejpam-6660	206	28	,	,	PUNCT
ejpam-6660	206	29	f∑	f∑	PROPN
ejpam-6660	206	30	ε	ε	PROPN
ejpam-6660	206	31	,	,	PUNCT
ejpam-6660	206	32	s=0	s=0	PROPN
ejpam-6660	206	33	(	(	PUNCT
ejpam-6660	206	34	f	f	PROPN
ejpam-6660	206	35	δ	δ	PROPN
ejpam-6660	206	36	)	)	PUNCT
ejpam-6660	206	37	(	(	PUNCT
ejpam-6660	206	38	h	h	NOUN
ejpam-6660	206	39	ε	ε	PROPN
ejpam-6660	206	40	)	)	PUNCT
ejpam-6660	206	41	(	(	PUNCT
ejpam-6660	206	42	−ζ)ε+δ	−ζ)ε+δ	PART
ejpam-6660	206	43	bela	bela	X
ejpam-6660	206	44	(	(	PUNCT
ejpam-6660	206	45	α	α	NOUN
ejpam-6660	206	46	)	)	PUNCT
ejpam-6660	206	47	h+f−ε−δ(ζ	h+f−ε−δ(ζ	NOUN
ejpam-6660	206	48	,	,	PUNCT
ejpam-6660	206	49	ρ;µ	ρ;µ	NUM
ejpam-6660	206	50	)	)	PUNCT
ejpam-6660	206	51	.	.	PUNCT
ejpam-6660	207	1	theorem	theorem	NOUN
ejpam-6660	207	2	9	9	NUM
ejpam-6660	207	3	.	.	PUNCT
ejpam-6660	208	1	let	let	VERB
ejpam-6660	208	2	ε	ε	PROPN
ejpam-6660	208	3	≥	≥	PRON
ejpam-6660	208	4	0	0	NUM
ejpam-6660	208	5	.	.	PUNCT
ejpam-6660	209	1	then	then	ADV
ejpam-6660	209	2	bela(α+1	bela(α+1	NOUN
ejpam-6660	209	3	)	)	PUNCT
ejpam-6660	209	4	ε	ε	PROPN
ejpam-6660	209	5	(	(	PUNCT
ejpam-6660	209	6	σ	σ	PROPN
ejpam-6660	209	7	,	,	PUNCT
ejpam-6660	209	8	ρ;µ	ρ;µ	NUM
ejpam-6660	209	9	)	)	PUNCT
ejpam-6660	210	1	=	=	SYM
ejpam-6660	210	2	ε∑	ε∑	X
ejpam-6660	210	3	d=0	d=0	X
ejpam-6660	210	4	(	(	PUNCT
ejpam-6660	210	5	ε	ε	PROPN
ejpam-6660	210	6	d	d	PROPN
ejpam-6660	210	7	)	)	PUNCT
ejpam-6660	210	8	aε−d(µ)bela	aε−d(µ)bela	PROPN
ejpam-6660	210	9	(	(	PUNCT
ejpam-6660	210	10	α	α	NOUN
ejpam-6660	210	11	)	)	PUNCT
ejpam-6660	210	12	d	d	PROPN
ejpam-6660	210	13	(	(	PUNCT
ejpam-6660	210	14	σ	σ	PROPN
ejpam-6660	210	15	,	,	PUNCT
ejpam-6660	210	16	ρ;µ	ρ;µ	NUM
ejpam-6660	210	17	)	)	PUNCT
ejpam-6660	210	18	.	.	PUNCT
ejpam-6660	211	1	(	(	PUNCT
ejpam-6660	211	2	47	47	NUM
ejpam-6660	211	3	)	)	PUNCT
ejpam-6660	211	4	proof	proof	NOUN
ejpam-6660	211	5	.	.	PUNCT
ejpam-6660	212	1	by	by	ADP
ejpam-6660	212	2	(	(	PUNCT
ejpam-6660	212	3	18	18	NUM
ejpam-6660	212	4	)	)	PUNCT
ejpam-6660	212	5	,	,	PUNCT
ejpam-6660	212	6	we	we	PRON
ejpam-6660	212	7	have	have	VERB
ejpam-6660	212	8	1−	1−	NUM
ejpam-6660	212	9	µ	µ	X
ejpam-6660	212	10	e(µ−1)ζ	e(µ−1)ζ	PROPN
ejpam-6660	212	11	−	−	PROPN
ejpam-6660	212	12	µ	µ	X
ejpam-6660	212	13	(	(	PUNCT
ejpam-6660	212	14	1−	1−	NUM
ejpam-6660	212	15	µ	µ	X
ejpam-6660	212	16	e(µ−1)ζ	e(µ−1)ζ	PROPN
ejpam-6660	212	17	−	−	PROPN
ejpam-6660	212	18	µ	µ	X
ejpam-6660	212	19	)	)	PUNCT
ejpam-6660	212	20	α	α	PROPN
ejpam-6660	212	21	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	212	22	)	)	PUNCT
ejpam-6660	212	23	=	=	SYM
ejpam-6660	212	24	1−	1−	NUM
ejpam-6660	212	25	µ	µ	X
ejpam-6660	212	26	e(µ−1)ζ	e(µ−1)ζ	PROPN
ejpam-6660	212	27	−	−	PROPN
ejpam-6660	212	28	µ	µ	PROPN
ejpam-6660	212	29	∞∑	∞∑	PROPN
ejpam-6660	212	30	d=0	d=0	PROPN
ejpam-6660	212	31	bela	bela	PROPN
ejpam-6660	212	32	(	(	PUNCT
ejpam-6660	212	33	α	α	NOUN
ejpam-6660	212	34	)	)	PUNCT
ejpam-6660	212	35	d	d	PROPN
ejpam-6660	212	36	(	(	PUNCT
ejpam-6660	212	37	σ	σ	PROPN
ejpam-6660	212	38	,	,	PUNCT
ejpam-6660	212	39	ρ;µ	ρ;µ	NUM
ejpam-6660	212	40	)	)	PUNCT
ejpam-6660	212	41	ζd	ζd	ADP
ejpam-6660	212	42	d	d	NOUN
ejpam-6660	212	43	!	!	PUNCT
ejpam-6660	213	1	(	(	PUNCT
ejpam-6660	213	2	1−	1−	NUM
ejpam-6660	213	3	µ	µ	X
ejpam-6660	213	4	e(µ−1)ζ	e(µ−1)ζ	PROPN
ejpam-6660	213	5	−	−	PROPN
ejpam-6660	213	6	µ	µ	NOUN
ejpam-6660	213	7	)	)	PUNCT
ejpam-6660	213	8	α+1	α+1	NUM
ejpam-6660	213	9	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	213	10	)	)	PUNCT
ejpam-6660	213	11	=	=	SYM
ejpam-6660	213	12	1−	1−	NUM
ejpam-6660	213	13	µ	µ	X
ejpam-6660	213	14	e(µ−1)ζ	e(µ−1)ζ	PROPN
ejpam-6660	213	15	−	−	PROPN
ejpam-6660	213	16	µ	µ	PROPN
ejpam-6660	213	17	∞∑	∞∑	PROPN
ejpam-6660	213	18	d=0	d=0	PROPN
ejpam-6660	213	19	bela	bela	PROPN
ejpam-6660	213	20	(	(	PUNCT
ejpam-6660	213	21	α	α	NOUN
ejpam-6660	213	22	)	)	PUNCT
ejpam-6660	213	23	d	d	PROPN
ejpam-6660	213	24	(	(	PUNCT
ejpam-6660	213	25	σ	σ	PROPN
ejpam-6660	213	26	,	,	PUNCT
ejpam-6660	213	27	ρ;µ	ρ;µ	NUM
ejpam-6660	213	28	)	)	PUNCT
ejpam-6660	213	29	ζd	ζd	ADP
ejpam-6660	213	30	d	d	NOUN
ejpam-6660	213	31	!	!	PUNCT
ejpam-6660	213	32	=	=	NOUN
ejpam-6660	214	1	∞∑	∞∑	NUM
ejpam-6660	214	2	ε=0	ε=0	NOUN
ejpam-6660	214	3	aε(µ	aε(µ	NUM
ejpam-6660	214	4	)	)	PUNCT
ejpam-6660	214	5	ζε	ζε	X
ejpam-6660	214	6	ε	ε	PROPN
ejpam-6660	214	7	!	!	PUNCT
ejpam-6660	215	1	∞∑	∞∑	NUM
ejpam-6660	215	2	d=0	d=0	PROPN
ejpam-6660	215	3	bela	bela	PROPN
ejpam-6660	215	4	(	(	PUNCT
ejpam-6660	215	5	α	α	NOUN
ejpam-6660	215	6	)	)	PUNCT
ejpam-6660	215	7	d	d	PROPN
ejpam-6660	215	8	(	(	PUNCT
ejpam-6660	215	9	σ	σ	PROPN
ejpam-6660	215	10	,	,	PUNCT
ejpam-6660	215	11	ρ;µ	ρ;µ	NUM
ejpam-6660	215	12	)	)	PUNCT
ejpam-6660	215	13	ζd	ζd	ADP
ejpam-6660	215	14	d	d	NOUN
ejpam-6660	215	15	!	!	PUNCT
ejpam-6660	215	16	=	=	NOUN
ejpam-6660	216	1	∞∑	∞∑	NUM
ejpam-6660	216	2	ε=0	ε=0	X
ejpam-6660	216	3	(	(	PUNCT
ejpam-6660	216	4	ε∑	ε∑	X
ejpam-6660	216	5	d=0	d=0	PROPN
ejpam-6660	216	6	(	(	PUNCT
ejpam-6660	216	7	ε	ε	PROPN
ejpam-6660	216	8	d	d	PROPN
ejpam-6660	216	9	)	)	PUNCT
ejpam-6660	216	10	aε−d(µ)bela	aε−d(µ)bela	PROPN
ejpam-6660	216	11	(	(	PUNCT
ejpam-6660	216	12	α	α	NOUN
ejpam-6660	216	13	)	)	PUNCT
ejpam-6660	216	14	d	d	PROPN
ejpam-6660	216	15	(	(	PUNCT
ejpam-6660	216	16	σ	σ	PROPN
ejpam-6660	216	17	,	,	PUNCT
ejpam-6660	216	18	ρ;µ	ρ;µ	NUM
ejpam-6660	216	19	)	)	PUNCT
ejpam-6660	216	20	)	)	PUNCT
ejpam-6660	216	21	ζε	ζε	ADP
ejpam-6660	216	22	ε	ε	PROPN
ejpam-6660	216	23	!	!	PROPN
ejpam-6660	216	24	,	,	PUNCT
ejpam-6660	216	25	which	which	PRON
ejpam-6660	216	26	implies	imply	VERB
ejpam-6660	216	27	the	the	DET
ejpam-6660	216	28	result	result	NOUN
ejpam-6660	216	29	(	(	PUNCT
ejpam-6660	216	30	47	47	NUM
ejpam-6660	216	31	)	)	PUNCT
ejpam-6660	216	32	.	.	PUNCT
ejpam-6660	216	33	theorem	theorem	ADJ
ejpam-6660	216	34	10	10	NUM
ejpam-6660	216	35	.	.	PUNCT
ejpam-6660	217	1	let	let	VERB
ejpam-6660	217	2	ε	ε	PROPN
ejpam-6660	217	3	≥	≥	PRON
ejpam-6660	217	4	0	0	NUM
ejpam-6660	217	5	.	.	PUNCT
ejpam-6660	218	1	then	then	ADV
ejpam-6660	218	2	bela(α	bela(α	VERB
ejpam-6660	218	3	)	)	PUNCT
ejpam-6660	218	4	ε	ε	PROPN
ejpam-6660	218	5	(	(	PUNCT
ejpam-6660	218	6	σ	σ	PROPN
ejpam-6660	218	7	+	+	PROPN
ejpam-6660	218	8	1	1	NUM
ejpam-6660	218	9	,	,	PUNCT
ejpam-6660	218	10	ρ;µ	ρ;µ	NUM
ejpam-6660	218	11	)	)	PUNCT
ejpam-6660	218	12	=	=	SYM
ejpam-6660	218	13	ε∑	ε∑	X
ejpam-6660	218	14	δ=0	δ=0	PROPN
ejpam-6660	218	15	(	(	PUNCT
ejpam-6660	218	16	ε	ε	PROPN
ejpam-6660	218	17	δ	δ	PROPN
ejpam-6660	218	18	)	)	PUNCT
ejpam-6660	218	19	bela	bela	NOUN
ejpam-6660	218	20	(	(	PUNCT
ejpam-6660	218	21	α	α	NOUN
ejpam-6660	218	22	)	)	PUNCT
ejpam-6660	218	23	δ	δ	PROPN
ejpam-6660	218	24	(	(	PUNCT
ejpam-6660	218	25	σ	σ	PROPN
ejpam-6660	218	26	,	,	PUNCT
ejpam-6660	218	27	ρ;µ	ρ;µ	NUM
ejpam-6660	218	28	)	)	PUNCT
ejpam-6660	218	29	.	.	PUNCT
ejpam-6660	219	1	(	(	PUNCT
ejpam-6660	219	2	48	48	NUM
ejpam-6660	219	3	)	)	PUNCT
ejpam-6660	219	4	proof	proof	NOUN
ejpam-6660	219	5	.	.	PUNCT
ejpam-6660	220	1	using	use	VERB
ejpam-6660	220	2	definition	definition	NOUN
ejpam-6660	220	3	(	(	PUNCT
ejpam-6660	220	4	18	18	NUM
ejpam-6660	220	5	)	)	PUNCT
ejpam-6660	220	6	,	,	PUNCT
ejpam-6660	220	7	we	we	PRON
ejpam-6660	220	8	have	have	VERB
ejpam-6660	220	9	∞∑	∞∑	NUM
ejpam-6660	220	10	ε=0	ε=0	PUNCT
ejpam-6660	220	11	bela(α	bela(α	VERB
ejpam-6660	220	12	)	)	PUNCT
ejpam-6660	220	13	ε	ε	PROPN
ejpam-6660	220	14	(	(	PUNCT
ejpam-6660	220	15	σ	σ	PROPN
ejpam-6660	220	16	+	+	PROPN
ejpam-6660	220	17	1	1	NUM
ejpam-6660	220	18	,	,	PUNCT
ejpam-6660	220	19	ρ;µ	ρ;µ	NUM
ejpam-6660	220	20	)	)	PUNCT
ejpam-6660	220	21	ζε	ζε	X
ejpam-6660	220	22	ε	ε	PROPN
ejpam-6660	220	23	!	!	PUNCT
ejpam-6660	220	24	−	−	PROPN
ejpam-6660	221	1	∞∑	∞∑	NUM
ejpam-6660	221	2	ε=0	ε=0	PUNCT
ejpam-6660	221	3	bela(α	bela(α	NOUN
ejpam-6660	221	4	)	)	PUNCT
ejpam-6660	221	5	ε	ε	PROPN
ejpam-6660	221	6	(	(	PUNCT
ejpam-6660	221	7	σ	σ	PROPN
ejpam-6660	221	8	,	,	PUNCT
ejpam-6660	221	9	ρ;µ	ρ;µ	NUM
ejpam-6660	221	10	)	)	PUNCT
ejpam-6660	221	11	ζε	ζε	X
ejpam-6660	221	12	ε	ε	PROPN
ejpam-6660	221	13	!	!	PUNCT
ejpam-6660	221	14	=	=	PRON
ejpam-6660	221	15	(	(	PUNCT
ejpam-6660	221	16	1−	1−	NUM
ejpam-6660	221	17	µ	µ	X
ejpam-6660	221	18	e(µ−1)ζ	e(µ−1)ζ	PROPN
ejpam-6660	221	19	−	−	PROPN
ejpam-6660	221	20	µ	µ	X
ejpam-6660	221	21	)	)	PUNCT
ejpam-6660	221	22	α	α	PROPN
ejpam-6660	221	23	eσζ+ρ(eζ−1)(eζ	eσζ+ρ(eζ−1)(eζ	PROPN
ejpam-6660	221	24	−	−	PROPN
ejpam-6660	221	25	1	1	NUM
ejpam-6660	221	26	)	)	PUNCT
ejpam-6660	221	27	=	=	NOUN
ejpam-6660	221	28	(	(	PUNCT
ejpam-6660	221	29	∞∑	∞∑	NUM
ejpam-6660	221	30	δ=0	δ=0	PROPN
ejpam-6660	221	31	bela	bela	PROPN
ejpam-6660	221	32	(	(	PUNCT
ejpam-6660	221	33	α	α	NOUN
ejpam-6660	221	34	)	)	PUNCT
ejpam-6660	221	35	δ	δ	PROPN
ejpam-6660	221	36	(	(	PUNCT
ejpam-6660	221	37	σ	σ	PROPN
ejpam-6660	221	38	,	,	PUNCT
ejpam-6660	221	39	ρ;µ	ρ;µ	NUM
ejpam-6660	221	40	)	)	PUNCT
ejpam-6660	221	41	ζδ	ζδ	PROPN
ejpam-6660	221	42	δ	δ	PROPN
ejpam-6660	221	43	!	!	PUNCT
ejpam-6660	221	44	)	)	PUNCT
ejpam-6660	222	1	(	(	PUNCT
ejpam-6660	222	2	∞∑	∞∑	NUM
ejpam-6660	222	3	ε=0	ε=0	X
ejpam-6660	222	4	ζε	ζε	X
ejpam-6660	222	5	ε	ε	PROPN
ejpam-6660	222	6	!	!	PUNCT
ejpam-6660	222	7	)	)	PUNCT
ejpam-6660	223	1	−	−	PROPN
ejpam-6660	224	1	∞∑	∞∑	NUM
ejpam-6660	224	2	ε=0	ε=0	PUNCT
ejpam-6660	224	3	bela(α	bela(α	NOUN
ejpam-6660	224	4	)	)	PUNCT
ejpam-6660	224	5	ε	ε	PROPN
ejpam-6660	224	6	(	(	PUNCT
ejpam-6660	224	7	σ	σ	PROPN
ejpam-6660	224	8	,	,	PUNCT
ejpam-6660	224	9	ρ;µ	ρ;µ	NUM
ejpam-6660	224	10	)	)	PUNCT
ejpam-6660	224	11	ζε	ζε	X
ejpam-6660	224	12	ε	ε	PROPN
ejpam-6660	224	13	!	!	PUNCT
ejpam-6660	224	14	=	=	PUNCT
ejpam-6660	225	1	∞∑	∞∑	NUM
ejpam-6660	225	2	ε=0	ε=0	X
ejpam-6660	225	3	ε∑	ε∑	X
ejpam-6660	225	4	δ=0	δ=0	PROPN
ejpam-6660	225	5	(	(	PUNCT
ejpam-6660	225	6	ε	ε	PROPN
ejpam-6660	225	7	δ	δ	PROPN
ejpam-6660	225	8	)	)	PUNCT
ejpam-6660	225	9	bela	bela	NOUN
ejpam-6660	225	10	(	(	PUNCT
ejpam-6660	225	11	α	α	NOUN
ejpam-6660	225	12	)	)	PUNCT
ejpam-6660	225	13	δ	δ	PROPN
ejpam-6660	225	14	(	(	PUNCT
ejpam-6660	225	15	σ	σ	PROPN
ejpam-6660	225	16	,	,	PUNCT
ejpam-6660	225	17	ρ;µ	ρ;µ	NUM
ejpam-6660	225	18	)	)	PUNCT
ejpam-6660	225	19	ζε	ζε	X
ejpam-6660	225	20	ε	ε	PROPN
ejpam-6660	225	21	!	!	PUNCT
ejpam-6660	225	22	−	−	PROPN
ejpam-6660	226	1	∞∑	∞∑	NUM
ejpam-6660	226	2	ε=0	ε=0	PUNCT
ejpam-6660	226	3	bela(α	bela(α	NOUN
ejpam-6660	226	4	)	)	PUNCT
ejpam-6660	226	5	ε	ε	PROPN
ejpam-6660	226	6	(	(	PUNCT
ejpam-6660	226	7	σ	σ	PROPN
ejpam-6660	226	8	,	,	PUNCT
ejpam-6660	226	9	ρ;µ	ρ;µ	NUM
ejpam-6660	226	10	)	)	PUNCT
ejpam-6660	226	11	ζε	ζε	X
ejpam-6660	226	12	ε	ε	PROPN
ejpam-6660	226	13	!	!	PROPN
ejpam-6660	226	14	,	,	PUNCT
ejpam-6660	226	15	which	which	PRON
ejpam-6660	226	16	gives	give	VERB
ejpam-6660	226	17	the	the	DET
ejpam-6660	226	18	claimed	claim	VERB
ejpam-6660	226	19	result	result	NOUN
ejpam-6660	226	20	(	(	PUNCT
ejpam-6660	226	21	48	48	NUM
ejpam-6660	226	22	)	)	PUNCT
ejpam-6660	226	23	.	.	PUNCT
ejpam-6660	227	1	m.	m.	PROPN
ejpam-6660	227	2	sharma	sharma	PROPN
ejpam-6660	227	3	et	et	PROPN
ejpam-6660	227	4	al	al	PROPN
ejpam-6660	227	5	.	.	PUNCT
ejpam-6660	227	6	/	/	SYM
ejpam-6660	227	7	eur	eur	PROPN
ejpam-6660	227	8	.	.	PUNCT
ejpam-6660	228	1	j.	j.	PROPN
ejpam-6660	228	2	pure	pure	PROPN
ejpam-6660	228	3	appl	appl	PROPN
ejpam-6660	228	4	.	.	PROPN
ejpam-6660	228	5	math	math	PROPN
ejpam-6660	228	6	,	,	PUNCT
ejpam-6660	228	7	18	18	NUM
ejpam-6660	228	8	(	(	PUNCT
ejpam-6660	228	9	3	3	NUM
ejpam-6660	228	10	)	)	PUNCT
ejpam-6660	228	11	(	(	PUNCT
ejpam-6660	228	12	2025	2025	NUM
ejpam-6660	228	13	)	)	PUNCT
ejpam-6660	228	14	,	,	PUNCT
ejpam-6660	228	15	6660	6660	NUM
ejpam-6660	228	16	9	9	NUM
ejpam-6660	228	17	of	of	ADP
ejpam-6660	228	18	19	19	NUM
ejpam-6660	228	19	theorem	theorem	NOUN
ejpam-6660	228	20	11	11	NUM
ejpam-6660	228	21	.	.	PUNCT
ejpam-6660	229	1	let	let	VERB
ejpam-6660	229	2	ε	ε	PROPN
ejpam-6660	229	3	≥	≥	PRON
ejpam-6660	229	4	0	0	NUM
ejpam-6660	229	5	.	.	PUNCT
ejpam-6660	230	1	then	then	ADV
ejpam-6660	230	2	bela(α	bela(α	VERB
ejpam-6660	230	3	)	)	PUNCT
ejpam-6660	230	4	ε	ε	PROPN
ejpam-6660	230	5	(	(	PUNCT
ejpam-6660	230	6	σ	σ	PROPN
ejpam-6660	230	7	,	,	PUNCT
ejpam-6660	230	8	ρ;µ	ρ;µ	NUM
ejpam-6660	230	9	)	)	PUNCT
ejpam-6660	230	10	=	=	SYM
ejpam-6660	231	1	ε∑	ε∑	X
ejpam-6660	231	2	δ=0	δ=0	PROPN
ejpam-6660	231	3	ε∑	ε∑	PROPN
ejpam-6660	231	4	θ=ϑ	θ=ϑ	PROPN
ejpam-6660	231	5	(	(	PUNCT
ejpam-6660	231	6	α+	α+	NUM
ejpam-6660	231	7	θ	θ	NOUN
ejpam-6660	231	8	−	−	NOUN
ejpam-6660	231	9	1	1	NUM
ejpam-6660	231	10	θ	θ	NOUN
ejpam-6660	231	11	)	)	PUNCT
ejpam-6660	231	12	θ	θ	X
ejpam-6660	231	13	!	!	PUNCT
ejpam-6660	232	1	(	(	PUNCT
ejpam-6660	232	2	ε	ε	PROPN
ejpam-6660	232	3	ϑ	ϑ	X
ejpam-6660	232	4	)	)	PUNCT
ejpam-6660	232	5	s2(ϑ	s2(ϑ	PROPN
ejpam-6660	232	6	,	,	PUNCT
ejpam-6660	232	7	θ)(µ−	θ)(µ−	PROPN
ejpam-6660	232	8	1)ϑ−θbelε−ϑ(σ	1)ϑ−θbelε−ϑ(σ	NUM
ejpam-6660	232	9	;	;	PUNCT
ejpam-6660	232	10	ρ	ρ	PROPN
ejpam-6660	232	11	)	)	PUNCT
ejpam-6660	232	12	.	.	PUNCT
ejpam-6660	233	1	(	(	PUNCT
ejpam-6660	233	2	49	49	X
ejpam-6660	233	3	)	)	PUNCT
ejpam-6660	233	4	proof	proof	NOUN
ejpam-6660	233	5	.	.	PUNCT
ejpam-6660	234	1	in	in	ADP
ejpam-6660	234	2	(	(	PUNCT
ejpam-6660	234	3	18	18	NUM
ejpam-6660	234	4	)	)	PUNCT
ejpam-6660	234	5	,	,	PUNCT
ejpam-6660	234	6	we	we	PRON
ejpam-6660	234	7	have	have	VERB
ejpam-6660	234	8	∞∑	∞∑	NUM
ejpam-6660	234	9	ε=0	ε=0	PUNCT
ejpam-6660	234	10	bela(α	bela(α	VERB
ejpam-6660	234	11	)	)	PUNCT
ejpam-6660	234	12	ε	ε	PROPN
ejpam-6660	234	13	(	(	PUNCT
ejpam-6660	234	14	σ	σ	PROPN
ejpam-6660	234	15	,	,	PUNCT
ejpam-6660	234	16	ρ;µ	ρ;µ	NUM
ejpam-6660	234	17	)	)	PUNCT
ejpam-6660	234	18	ζε	ζε	X
ejpam-6660	234	19	ε	ε	PROPN
ejpam-6660	234	20	!	!	PUNCT
ejpam-6660	234	21	=	=	PRON
ejpam-6660	234	22	(	(	PUNCT
ejpam-6660	234	23	1−	1−	NUM
ejpam-6660	234	24	µ	µ	X
ejpam-6660	234	25	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	234	26	)	)	PUNCT
ejpam-6660	235	1	−	−	PROPN
ejpam-6660	235	2	µ	µ	X
ejpam-6660	235	3	)	)	PUNCT
ejpam-6660	235	4	α	α	PROPN
ejpam-6660	235	5	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	235	6	)	)	PUNCT
ejpam-6660	235	7	=	=	SYM
ejpam-6660	236	1	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	236	2	)	)	PUNCT
ejpam-6660	236	3	(	(	PUNCT
ejpam-6660	236	4	1	1	NUM
ejpam-6660	236	5	+	+	CCONJ
ejpam-6660	236	6	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	236	7	)	)	PUNCT
ejpam-6660	236	8	−	−	PROPN
ejpam-6660	237	1	1	1	NUM
ejpam-6660	237	2	1−	1−	NUM
ejpam-6660	237	3	µ	µ	X
ejpam-6660	237	4	)	)	PUNCT
ejpam-6660	237	5	−α	−α	NOUN
ejpam-6660	237	6	=	=	PUNCT
ejpam-6660	238	1	∞∑	∞∑	ADJ
ejpam-6660	238	2	θ=0	θ=0	NOUN
ejpam-6660	238	3	(	(	PUNCT
ejpam-6660	238	4	−α	−α	NOUN
ejpam-6660	238	5	θ	θ	PROPN
ejpam-6660	238	6	)	)	PUNCT
ejpam-6660	238	7	(	(	PUNCT
ejpam-6660	238	8	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	238	9	)	)	PUNCT
ejpam-6660	238	10	−	−	PROPN
ejpam-6660	238	11	1	1	NUM
ejpam-6660	238	12	1−	1−	NUM
ejpam-6660	238	13	µ	µ	X
ejpam-6660	238	14	)	)	PUNCT
ejpam-6660	238	15	θ	θ	PROPN
ejpam-6660	238	16	∞∑	∞∑	NUM
ejpam-6660	238	17	ε=0	ε=0	NOUN
ejpam-6660	238	18	belε(σ	belε(σ	NOUN
ejpam-6660	238	19	;	;	PUNCT
ejpam-6660	238	20	ρ	ρ	NUM
ejpam-6660	238	21	)	)	PUNCT
ejpam-6660	238	22	ζε	ζε	X
ejpam-6660	238	23	ε	ε	PROPN
ejpam-6660	238	24	!	!	PUNCT
ejpam-6660	239	1	=	=	PUNCT
ejpam-6660	240	1	∞∑	∞∑	NUM
ejpam-6660	240	2	ε=0	ε=0	X
ejpam-6660	240	3	(	(	PUNCT
ejpam-6660	240	4	ε∑	ε∑	PRON
ejpam-6660	240	5	θ=0	θ=0	PROPN
ejpam-6660	240	6	ε∑	ε∑	PROPN
ejpam-6660	240	7	ϑ=θ	ϑ=θ	PROPN
ejpam-6660	240	8	(	(	PUNCT
ejpam-6660	240	9	α+	α+	NUM
ejpam-6660	240	10	θ	θ	NOUN
ejpam-6660	240	11	−	−	NOUN
ejpam-6660	240	12	1	1	NUM
ejpam-6660	240	13	θ	θ	NOUN
ejpam-6660	240	14	)	)	PUNCT
ejpam-6660	240	15	θ	θ	X
ejpam-6660	240	16	!	!	PUNCT
ejpam-6660	240	17	(	(	PUNCT
ejpam-6660	240	18	ε	ε	PROPN
ejpam-6660	240	19	ϑ	ϑ	X
ejpam-6660	240	20	)	)	PUNCT
ejpam-6660	240	21	s2(ϑ	s2(ϑ	PROPN
ejpam-6660	240	22	,	,	PUNCT
ejpam-6660	240	23	θ)(µ−	θ)(µ−	PROPN
ejpam-6660	240	24	1)ϑ−θbelε−ϑ(σ	1)ϑ−θbelε−ϑ(σ	NUM
ejpam-6660	240	25	;	;	PUNCT
ejpam-6660	240	26	ρ	ρ	PROPN
ejpam-6660	240	27	)	)	PUNCT
ejpam-6660	240	28	)	)	PUNCT
ejpam-6660	240	29	ζε	ζε	ADP
ejpam-6660	240	30	ε	ε	PROPN
ejpam-6660	240	31	!	!	PROPN
ejpam-6660	240	32	,	,	PUNCT
ejpam-6660	240	33	which	which	PRON
ejpam-6660	240	34	yields	yield	VERB
ejpam-6660	240	35	the	the	DET
ejpam-6660	240	36	result	result	NOUN
ejpam-6660	240	37	(	(	PUNCT
ejpam-6660	240	38	49	49	NUM
ejpam-6660	240	39	)	)	PUNCT
ejpam-6660	240	40	.	.	PUNCT
ejpam-6660	240	41	theorem	theorem	NOUN
ejpam-6660	240	42	12	12	NUM
ejpam-6660	240	43	.	.	PUNCT
ejpam-6660	241	1	let	let	VERB
ejpam-6660	241	2	ε	ε	PROPN
ejpam-6660	241	3	≥	≥	PRON
ejpam-6660	241	4	0	0	NUM
ejpam-6660	241	5	.	.	PUNCT
ejpam-6660	242	1	then	then	ADV
ejpam-6660	242	2	bela(α	bela(α	VERB
ejpam-6660	242	3	)	)	PUNCT
ejpam-6660	242	4	ε	ε	PROPN
ejpam-6660	242	5	(	(	PUNCT
ejpam-6660	242	6	σ	σ	PROPN
ejpam-6660	242	7	,	,	PUNCT
ejpam-6660	242	8	ρ;µ	ρ;µ	NUM
ejpam-6660	242	9	)	)	PUNCT
ejpam-6660	242	10	=	=	PUNCT
ejpam-6660	243	1	∞∑	∞∑	NUM
ejpam-6660	243	2	δ=0	δ=0	PUNCT
ejpam-6660	243	3	δ∑	δ∑	NOUN
ejpam-6660	243	4	θ=0	θ=0	PROPN
ejpam-6660	243	5	(	(	PUNCT
ejpam-6660	243	6	δ	δ	NOUN
ejpam-6660	243	7	θ	θ	NOUN
ejpam-6660	243	8	)	)	PUNCT
ejpam-6660	243	9	belε(σ	belε(σ	NOUN
ejpam-6660	243	10	+	+	CCONJ
ejpam-6660	243	11	(	(	PUNCT
ejpam-6660	243	12	µ−	µ−	PROPN
ejpam-6660	243	13	1)θ	1)θ	NUM
ejpam-6660	243	14	;	;	PUNCT
ejpam-6660	243	15	ρ	ρ	NUM
ejpam-6660	243	16	)	)	PUNCT
ejpam-6660	243	17	(	(	PUNCT
ejpam-6660	243	18	α)δ	α)δ	X
ejpam-6660	243	19	δ	δ	X
ejpam-6660	243	20	!	!	PUNCT
ejpam-6660	243	21	(	(	PUNCT
ejpam-6660	243	22	µ−	µ−	PROPN
ejpam-6660	243	23	1)−α(−1)δ−θ	1)−α(−1)δ−θ	NUM
ejpam-6660	243	24	.	.	PUNCT
ejpam-6660	244	1	(	(	PUNCT
ejpam-6660	244	2	50	50	NUM
ejpam-6660	244	3	)	)	PUNCT
ejpam-6660	244	4	proof	proof	NOUN
ejpam-6660	244	5	.	.	PUNCT
ejpam-6660	245	1	by	by	ADP
ejpam-6660	245	2	(	(	PUNCT
ejpam-6660	245	3	18	18	NUM
ejpam-6660	245	4	)	)	PUNCT
ejpam-6660	245	5	,	,	PUNCT
ejpam-6660	245	6	we	we	PRON
ejpam-6660	245	7	have	have	VERB
ejpam-6660	245	8	∞∑	∞∑	NUM
ejpam-6660	245	9	ε=0	ε=0	PUNCT
ejpam-6660	245	10	bela(α	bela(α	VERB
ejpam-6660	245	11	)	)	PUNCT
ejpam-6660	245	12	ε	ε	PROPN
ejpam-6660	245	13	(	(	PUNCT
ejpam-6660	245	14	σ	σ	PROPN
ejpam-6660	245	15	,	,	PUNCT
ejpam-6660	245	16	ρ;µ	ρ;µ	NUM
ejpam-6660	245	17	)	)	PUNCT
ejpam-6660	245	18	ζε	ζε	X
ejpam-6660	245	19	ε	ε	PROPN
ejpam-6660	245	20	!	!	PUNCT
ejpam-6660	245	21	=	=	PRON
ejpam-6660	245	22	(	(	PUNCT
ejpam-6660	245	23	1−	1−	NUM
ejpam-6660	245	24	µ	µ	X
ejpam-6660	245	25	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	245	26	)	)	PUNCT
ejpam-6660	246	1	−	−	PROPN
ejpam-6660	246	2	µ	µ	X
ejpam-6660	246	3	)	)	PUNCT
ejpam-6660	246	4	α	α	PROPN
ejpam-6660	246	5	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	246	6	)	)	PUNCT
ejpam-6660	246	7	=	=	SYM
ejpam-6660	247	1	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	247	2	)	)	PUNCT
ejpam-6660	247	3	(	(	PUNCT
ejpam-6660	247	4	1−	1−	NUM
ejpam-6660	247	5	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	247	6	)	)	PUNCT
ejpam-6660	247	7	−	−	PROPN
ejpam-6660	248	1	1	1	NUM
ejpam-6660	248	2	µ−	µ−	PROPN
ejpam-6660	248	3	1	1	NUM
ejpam-6660	248	4	)	)	PUNCT
ejpam-6660	248	5	−α	−α	NOUN
ejpam-6660	248	6	=	=	PUNCT
ejpam-6660	248	7	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	248	8	)	)	PUNCT
ejpam-6660	248	9	(	(	PUNCT
ejpam-6660	248	10	µ−	µ−	PROPN
ejpam-6660	248	11	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	248	12	)	)	PUNCT
ejpam-6660	248	13	µ−	µ−	PROPN
ejpam-6660	248	14	1	1	NUM
ejpam-6660	248	15	)	)	PUNCT
ejpam-6660	248	16	−α	−α	NOUN
ejpam-6660	248	17	=	=	PUNCT
ejpam-6660	248	18	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	248	19	)	)	PUNCT
ejpam-6660	248	20	∞∑	∞∑	NUM
ejpam-6660	248	21	δ=0	δ=0	PUNCT
ejpam-6660	248	22	(	(	PUNCT
ejpam-6660	248	23	α)δ	α)δ	X
ejpam-6660	248	24	1	1	NUM
ejpam-6660	248	25	δ	δ	X
ejpam-6660	248	26	!	!	PUNCT
ejpam-6660	248	27	(	(	PUNCT
ejpam-6660	248	28	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	248	29	)	)	PUNCT
ejpam-6660	248	30	−	−	PROPN
ejpam-6660	248	31	1	1	NUM
ejpam-6660	248	32	µ−	µ−	PROPN
ejpam-6660	248	33	1	1	NUM
ejpam-6660	248	34	)	)	PUNCT
ejpam-6660	248	35	δ	δ	NOUN
ejpam-6660	248	36	=	=	SYM
ejpam-6660	248	37	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NUM
ejpam-6660	248	38	)	)	PUNCT
ejpam-6660	248	39	∞∑	∞∑	NUM
ejpam-6660	248	40	δ=0	δ=0	PUNCT
ejpam-6660	248	41	(	(	PUNCT
ejpam-6660	248	42	α)δ	α)δ	X
ejpam-6660	248	43	1	1	NUM
ejpam-6660	248	44	δ	δ	X
ejpam-6660	248	45	!	!	PUNCT
ejpam-6660	248	46	(	(	PUNCT
ejpam-6660	248	47	µ−	µ−	PROPN
ejpam-6660	248	48	1)−α	1)−α	NUM
ejpam-6660	248	49	δ∑	δ∑	NOUN
ejpam-6660	248	50	θ=0	θ=0	X
ejpam-6660	248	51	(	(	PUNCT
ejpam-6660	248	52	δ	δ	NOUN
ejpam-6660	248	53	θ	θ	PROPN
ejpam-6660	248	54	)	)	PUNCT
ejpam-6660	248	55	eζ(µ−1)θ(−1)δ−θ	eζ(µ−1)θ(−1)δ−θ	VERB
ejpam-6660	248	56	∞∑	∞∑	ADJ
ejpam-6660	248	57	θ=0	θ=0	X
ejpam-6660	248	58	θ∑	θ∑	PART
ejpam-6660	248	59	δ=0	δ=0	PROPN
ejpam-6660	248	60	(	(	PUNCT
ejpam-6660	248	61	α)δ(µ−	α)δ(µ−	NOUN
ejpam-6660	248	62	1)θ−δsδ	1)θ−δsδ	NUM
ejpam-6660	248	63	l	l	NOUN
ejpam-6660	248	64	(	(	PUNCT
ejpam-6660	248	65	σ	σ	NOUN
ejpam-6660	248	66	µ−	µ−	PROPN
ejpam-6660	248	67	1	1	NUM
ejpam-6660	248	68	)	)	PUNCT
ejpam-6660	248	69	ζθ	ζθ	ADV
ejpam-6660	248	70	θ	θ	NOUN
ejpam-6660	248	71	!	!	PUNCT
ejpam-6660	248	72	=	=	NOUN
ejpam-6660	249	1	∞∑	∞∑	NUM
ejpam-6660	249	2	ε=0	ε=0	NOUN
ejpam-6660	249	3	∞∑	∞∑	NUM
ejpam-6660	249	4	δ=0	δ=0	PUNCT
ejpam-6660	249	5	δ∑	δ∑	NOUN
ejpam-6660	249	6	θ=0	θ=0	PROPN
ejpam-6660	249	7	(	(	PUNCT
ejpam-6660	249	8	δ	δ	NOUN
ejpam-6660	249	9	θ	θ	NOUN
ejpam-6660	249	10	)	)	PUNCT
ejpam-6660	249	11	belε(σ	belε(σ	NOUN
ejpam-6660	249	12	+	+	CCONJ
ejpam-6660	249	13	(	(	PUNCT
ejpam-6660	249	14	µ−	µ−	PROPN
ejpam-6660	249	15	1)θ	1)θ	NUM
ejpam-6660	249	16	;	;	PUNCT
ejpam-6660	249	17	ρ	ρ	NUM
ejpam-6660	249	18	)	)	PUNCT
ejpam-6660	249	19	(	(	PUNCT
ejpam-6660	249	20	α)δ	α)δ	X
ejpam-6660	249	21	δ	δ	X
ejpam-6660	249	22	!	!	PUNCT
ejpam-6660	249	23	(	(	PUNCT
ejpam-6660	249	24	µ−	µ−	PROPN
ejpam-6660	249	25	1)−α(−1)δ−θ	1)−α(−1)δ−θ	NUM
ejpam-6660	249	26	ζ	ζ	NOUN
ejpam-6660	249	27	ε	ε	NOUN
ejpam-6660	249	28	ε	ε	PROPN
ejpam-6660	249	29	!	!	PUNCT
ejpam-6660	249	30	=	=	NOUN
ejpam-6660	250	1	∞∑	∞∑	NUM
ejpam-6660	250	2	ε=0	ε=0	X
ejpam-6660	250	3	(	(	PUNCT
ejpam-6660	250	4	ε∑	ε∑	PRON
ejpam-6660	250	5	θ=0	θ=0	X
ejpam-6660	250	6	θ∑	θ∑	PART
ejpam-6660	250	7	δ=0	δ=0	PROPN
ejpam-6660	250	8	(	(	PUNCT
ejpam-6660	250	9	ε	ε	PROPN
ejpam-6660	250	10	θ	θ	PROPN
ejpam-6660	250	11	)	)	PUNCT
ejpam-6660	250	12	(	(	PUNCT
ejpam-6660	250	13	α)δ(µ−	α)δ(µ−	NOUN
ejpam-6660	250	14	1)θ−δsδ	1)θ−δsδ	NUM
ejpam-6660	250	15	l	l	NOUN
ejpam-6660	250	16	(	(	PUNCT
ejpam-6660	250	17	σ	σ	X
ejpam-6660	250	18	µ−	µ−	PROPN
ejpam-6660	250	19	1	1	NUM
ejpam-6660	250	20	)	)	PUNCT
ejpam-6660	250	21	belε−θ(ς	belε−θ(ς	PROPN
ejpam-6660	250	22	)	)	PUNCT
ejpam-6660	250	23	)	)	PUNCT
ejpam-6660	250	24	ζε	ζε	ADP
ejpam-6660	250	25	ε	ε	PROPN
ejpam-6660	250	26	!	!	PROPN
ejpam-6660	250	27	,	,	PUNCT
ejpam-6660	250	28	which	which	PRON
ejpam-6660	250	29	means	mean	VERB
ejpam-6660	250	30	the	the	DET
ejpam-6660	250	31	claimed	claimed	ADJ
ejpam-6660	250	32	formula	formula	NOUN
ejpam-6660	250	33	(	(	PUNCT
ejpam-6660	250	34	50	50	NUM
ejpam-6660	250	35	)	)	PUNCT
ejpam-6660	250	36	.	.	PUNCT
ejpam-6660	250	37	theorem	theorem	VERB
ejpam-6660	250	38	13	13	NUM
ejpam-6660	250	39	.	.	PUNCT
ejpam-6660	251	1	let	let	VERB
ejpam-6660	251	2	ε	ε	PROPN
ejpam-6660	251	3	≥	≥	PRON
ejpam-6660	251	4	0	0	NUM
ejpam-6660	251	5	.	.	PUNCT
ejpam-6660	252	1	then	then	ADV
ejpam-6660	252	2	bela(α	bela(α	VERB
ejpam-6660	252	3	)	)	PUNCT
ejpam-6660	252	4	ε	ε	PROPN
ejpam-6660	252	5	(	(	PUNCT
ejpam-6660	252	6	σ	σ	PROPN
ejpam-6660	252	7	,	,	PUNCT
ejpam-6660	252	8	ρ;µ	ρ;µ	NUM
ejpam-6660	252	9	)	)	PUNCT
ejpam-6660	252	10	=	=	SYM
ejpam-6660	252	11	1	1	NUM
ejpam-6660	252	12	ε+	ε+	NUM
ejpam-6660	252	13	1	1	NUM
ejpam-6660	252	14	ε+1∑	ε+1∑	PROPN
ejpam-6660	252	15	δ=0	δ=0	PROPN
ejpam-6660	252	16	(	(	PUNCT
ejpam-6660	252	17	ε+	ε+	X
ejpam-6660	252	18	1	1	NUM
ejpam-6660	252	19	δ	δ	NOUN
ejpam-6660	252	20	)	)	PUNCT
ejpam-6660	252	21	(	(	PUNCT
ejpam-6660	252	22	µ	µ	X
ejpam-6660	252	23	δ∑	δ∑	NOUN
ejpam-6660	252	24	θ=0	θ=0	X
ejpam-6660	252	25	(	(	PUNCT
ejpam-6660	252	26	δ	δ	NOUN
ejpam-6660	252	27	θ	θ	PROPN
ejpam-6660	252	28	)	)	PUNCT
ejpam-6660	252	29	bδ−θ(σ;µ)−	bδ−θ(σ;µ)−	NOUN
ejpam-6660	252	30	bθ(σ;µ	bθ(σ;µ	NOUN
ejpam-6660	252	31	)	)	PUNCT
ejpam-6660	252	32	)	)	PUNCT
ejpam-6660	252	33	bela	bela	NOUN
ejpam-6660	252	34	(	(	PUNCT
ejpam-6660	252	35	α	α	NOUN
ejpam-6660	252	36	)	)	PUNCT
ejpam-6660	252	37	ε−δ+1(0	ε−δ+1(0	PROPN
ejpam-6660	252	38	,	,	PUNCT
ejpam-6660	252	39	ρ;µ	ρ;µ	PROPN
ejpam-6660	252	40	)	)	PUNCT
ejpam-6660	252	41	.	.	PUNCT
ejpam-6660	253	1	(	(	PUNCT
ejpam-6660	253	2	51	51	NUM
ejpam-6660	253	3	)	)	PUNCT
ejpam-6660	253	4	proof	proof	NOUN
ejpam-6660	253	5	.	.	PUNCT
ejpam-6660	254	1	by	by	ADP
ejpam-6660	254	2	(	(	PUNCT
ejpam-6660	254	3	1	1	NUM
ejpam-6660	254	4	)	)	PUNCT
ejpam-6660	254	5	and	and	CCONJ
ejpam-6660	254	6	(	(	PUNCT
ejpam-6660	254	7	18	18	NUM
ejpam-6660	254	8	)	)	PUNCT
ejpam-6660	254	9	,	,	PUNCT
ejpam-6660	254	10	we	we	PRON
ejpam-6660	254	11	have	have	VERB
ejpam-6660	254	12	∞∑	∞∑	NUM
ejpam-6660	254	13	ε=0	ε=0	PUNCT
ejpam-6660	254	14	bela(α	bela(α	VERB
ejpam-6660	254	15	)	)	PUNCT
ejpam-6660	254	16	ε	ε	PROPN
ejpam-6660	254	17	(	(	PUNCT
ejpam-6660	254	18	σ	σ	PROPN
ejpam-6660	254	19	,	,	PUNCT
ejpam-6660	254	20	ρ;µ	ρ;µ	NUM
ejpam-6660	254	21	)	)	PUNCT
ejpam-6660	254	22	ζε	ζε	X
ejpam-6660	254	23	ε	ε	PROPN
ejpam-6660	254	24	!	!	PUNCT
ejpam-6660	254	25	=	=	PRON
ejpam-6660	254	26	(	(	PUNCT
ejpam-6660	254	27	1−	1−	NUM
ejpam-6660	254	28	µ	µ	X
ejpam-6660	254	29	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	254	30	)	)	PUNCT
ejpam-6660	255	1	−	−	PROPN
ejpam-6660	255	2	µ	µ	X
ejpam-6660	255	3	)	)	PUNCT
ejpam-6660	255	4	α	α	PROPN
ejpam-6660	255	5	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	PROPN
ejpam-6660	255	6	)	)	PUNCT
ejpam-6660	255	7	(	(	PUNCT
ejpam-6660	255	8	ζ	ζ	NOUN
ejpam-6660	255	9	µeζ	µeζ	PROPN
ejpam-6660	255	10	−	−	NOUN
ejpam-6660	255	11	1	1	NUM
ejpam-6660	255	12	)	)	PUNCT
ejpam-6660	255	13	(	(	PUNCT
ejpam-6660	255	14	µeζ	µeζ	PROPN
ejpam-6660	255	15	−	−	NUM
ejpam-6660	255	16	1	1	NUM
ejpam-6660	255	17	ζ	ζ	NOUN
ejpam-6660	255	18	)	)	PUNCT
ejpam-6660	255	19	m.	m.	NOUN
ejpam-6660	255	20	sharma	sharma	PROPN
ejpam-6660	255	21	et	et	PROPN
ejpam-6660	255	22	al	al	PROPN
ejpam-6660	255	23	.	.	PUNCT
ejpam-6660	255	24	/	/	SYM
ejpam-6660	255	25	eur	eur	PROPN
ejpam-6660	255	26	.	.	PUNCT
ejpam-6660	256	1	j.	j.	PROPN
ejpam-6660	256	2	pure	pure	PROPN
ejpam-6660	256	3	appl	appl	PROPN
ejpam-6660	256	4	.	.	PROPN
ejpam-6660	256	5	math	math	PROPN
ejpam-6660	256	6	,	,	PUNCT
ejpam-6660	256	7	18	18	NUM
ejpam-6660	256	8	(	(	PUNCT
ejpam-6660	256	9	3	3	NUM
ejpam-6660	256	10	)	)	PUNCT
ejpam-6660	256	11	(	(	PUNCT
ejpam-6660	256	12	2025	2025	NUM
ejpam-6660	256	13	)	)	PUNCT
ejpam-6660	256	14	,	,	PUNCT
ejpam-6660	256	15	6660	6660	NUM
ejpam-6660	256	16	10	10	NUM
ejpam-6660	256	17	of	of	ADP
ejpam-6660	256	18	19	19	NUM
ejpam-6660	256	19	=	=	SYM
ejpam-6660	256	20	1	1	NUM
ejpam-6660	256	21	ζ	ζ	NOUN
ejpam-6660	256	22	(	(	PUNCT
ejpam-6660	256	23	µ	µ	X
ejpam-6660	256	24	∞∑	∞∑	NUM
ejpam-6660	256	25	ε=0	ε=0	NOUN
ejpam-6660	256	26	bela(α	bela(α	NOUN
ejpam-6660	256	27	)	)	PUNCT
ejpam-6660	256	28	ε	ε	PROPN
ejpam-6660	256	29	(	(	PUNCT
ejpam-6660	256	30	0	0	NUM
ejpam-6660	256	31	,	,	PUNCT
ejpam-6660	256	32	ρ;µ	ρ;µ	NUM
ejpam-6660	256	33	)	)	PUNCT
ejpam-6660	256	34	ζε	ζε	X
ejpam-6660	256	35	ε	ε	PROPN
ejpam-6660	256	36	!	!	PUNCT
ejpam-6660	257	1	∞∑	∞∑	ADJ
ejpam-6660	257	2	δ=0	δ=0	NOUN
ejpam-6660	257	3	bδ(σ;µ	bδ(σ;µ	NOUN
ejpam-6660	257	4	)	)	PUNCT
ejpam-6660	257	5	ζδ	ζδ	X
ejpam-6660	258	1	δ	δ	NOUN
ejpam-6660	258	2	!	!	PUNCT
ejpam-6660	259	1	∞∑	∞∑	NUM
ejpam-6660	259	2	θ=0	θ=0	PROPN
ejpam-6660	259	3	ζθ	ζθ	PROPN
ejpam-6660	259	4	θ	θ	PROPN
ejpam-6660	259	5	!	!	PUNCT
ejpam-6660	259	6	−	−	NOUN
ejpam-6660	260	1	∞∑	∞∑	NUM
ejpam-6660	260	2	ε=0	ε=0	PUNCT
ejpam-6660	260	3	bela(α	bela(α	NOUN
ejpam-6660	260	4	)	)	PUNCT
ejpam-6660	260	5	ε	ε	PROPN
ejpam-6660	260	6	(	(	PUNCT
ejpam-6660	260	7	0	0	NUM
ejpam-6660	260	8	,	,	PUNCT
ejpam-6660	260	9	ρ;µ	ρ;µ	NUM
ejpam-6660	260	10	)	)	PUNCT
ejpam-6660	260	11	ζε	ζε	X
ejpam-6660	260	12	ε	ε	PROPN
ejpam-6660	260	13	!	!	PUNCT
ejpam-6660	261	1	∞∑	∞∑	ADJ
ejpam-6660	261	2	δ=0	δ=0	NOUN
ejpam-6660	261	3	bδ(σ;µ	bδ(σ;µ	NOUN
ejpam-6660	261	4	)	)	PUNCT
ejpam-6660	261	5	ζδ	ζδ	PROPN
ejpam-6660	262	1	δ	δ	PROPN
ejpam-6660	262	2	!	!	PUNCT
ejpam-6660	262	3	)	)	PUNCT
ejpam-6660	262	4	,	,	PUNCT
ejpam-6660	262	5	(	(	PUNCT
ejpam-6660	262	6	52	52	NUM
ejpam-6660	262	7	)	)	PUNCT
ejpam-6660	262	8	which	which	PRON
ejpam-6660	262	9	yields	yield	VERB
ejpam-6660	262	10	the	the	DET
ejpam-6660	262	11	claimed	claim	VERB
ejpam-6660	262	12	result	result	NOUN
ejpam-6660	262	13	(	(	PUNCT
ejpam-6660	262	14	51	51	NUM
ejpam-6660	262	15	)	)	PUNCT
ejpam-6660	262	16	.	.	PUNCT
ejpam-6660	263	1	theorem	theorem	VERB
ejpam-6660	263	2	14	14	NUM
ejpam-6660	263	3	.	.	PUNCT
ejpam-6660	264	1	let	let	VERB
ejpam-6660	264	2	ε	ε	PROPN
ejpam-6660	264	3	≥	≥	PRON
ejpam-6660	264	4	0	0	NUM
ejpam-6660	264	5	.	.	PUNCT
ejpam-6660	265	1	then	then	ADV
ejpam-6660	265	2	bela(α	bela(α	VERB
ejpam-6660	265	3	)	)	PUNCT
ejpam-6660	265	4	ε	ε	PROPN
ejpam-6660	265	5	(	(	PUNCT
ejpam-6660	265	6	σ	σ	PROPN
ejpam-6660	265	7	,	,	PUNCT
ejpam-6660	265	8	ρ;µ	ρ;µ	NUM
ejpam-6660	265	9	)	)	PUNCT
ejpam-6660	265	10	=	=	SYM
ejpam-6660	265	11	1	1	NUM
ejpam-6660	265	12	2	2	NUM
ejpam-6660	265	13	ε∑	ε∑	PRON
ejpam-6660	265	14	δ=0	δ=0	PROPN
ejpam-6660	265	15	(	(	PUNCT
ejpam-6660	265	16	ε	ε	PROPN
ejpam-6660	265	17	δ	δ	PROPN
ejpam-6660	265	18	)	)	PUNCT
ejpam-6660	265	19	(	(	PUNCT
ejpam-6660	265	20	µ	µ	X
ejpam-6660	265	21	δ∑	δ∑	NOUN
ejpam-6660	265	22	θ=0	θ=0	X
ejpam-6660	265	23	(	(	PUNCT
ejpam-6660	265	24	δ	δ	PROPN
ejpam-6660	265	25	θ	θ	PROPN
ejpam-6660	265	26	)	)	PUNCT
ejpam-6660	265	27	eδ−θ(σ;µ	eδ−θ(σ;µ	PROPN
ejpam-6660	265	28	)	)	PUNCT
ejpam-6660	266	1	+	+	NUM
ejpam-6660	266	2	eθ(σ;µ	eθ(σ;µ	NOUN
ejpam-6660	266	3	)	)	PUNCT
ejpam-6660	266	4	)	)	PUNCT
ejpam-6660	267	1	bela	bela	NOUN
ejpam-6660	267	2	(	(	PUNCT
ejpam-6660	267	3	α	α	NOUN
ejpam-6660	267	4	)	)	PUNCT
ejpam-6660	267	5	ε−δ(0	ε−δ(0	NOUN
ejpam-6660	267	6	,	,	PUNCT
ejpam-6660	267	7	ρ;µ	ρ;µ	NUM
ejpam-6660	267	8	)	)	PUNCT
ejpam-6660	267	9	.	.	PUNCT
ejpam-6660	268	1	(	(	PUNCT
ejpam-6660	268	2	53	53	NUM
ejpam-6660	268	3	)	)	PUNCT
ejpam-6660	268	4	proof	proof	NOUN
ejpam-6660	268	5	.	.	PUNCT
ejpam-6660	269	1	from	from	ADP
ejpam-6660	269	2	(	(	PUNCT
ejpam-6660	269	3	2	2	NUM
ejpam-6660	269	4	)	)	PUNCT
ejpam-6660	269	5	and	and	CCONJ
ejpam-6660	269	6	(	(	PUNCT
ejpam-6660	269	7	18	18	NUM
ejpam-6660	269	8	)	)	PUNCT
ejpam-6660	269	9	,	,	PUNCT
ejpam-6660	269	10	we	we	PRON
ejpam-6660	269	11	have	have	VERB
ejpam-6660	269	12	∞∑	∞∑	NUM
ejpam-6660	269	13	ε=0	ε=0	PUNCT
ejpam-6660	269	14	bela(α	bela(α	VERB
ejpam-6660	269	15	)	)	PUNCT
ejpam-6660	269	16	ε	ε	PROPN
ejpam-6660	269	17	(	(	PUNCT
ejpam-6660	269	18	σ	σ	PROPN
ejpam-6660	269	19	,	,	PUNCT
ejpam-6660	269	20	ρ;µ	ρ;µ	NUM
ejpam-6660	269	21	)	)	PUNCT
ejpam-6660	269	22	ζε	ζε	X
ejpam-6660	269	23	ε	ε	PROPN
ejpam-6660	269	24	!	!	PUNCT
ejpam-6660	269	25	=	=	PRON
ejpam-6660	269	26	(	(	PUNCT
ejpam-6660	269	27	1−	1−	NUM
ejpam-6660	269	28	µ	µ	X
ejpam-6660	269	29	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	269	30	)	)	PUNCT
ejpam-6660	270	1	−	−	PROPN
ejpam-6660	270	2	µ	µ	X
ejpam-6660	270	3	)	)	PUNCT
ejpam-6660	270	4	α	α	PROPN
ejpam-6660	270	5	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	PROPN
ejpam-6660	270	6	)	)	PUNCT
ejpam-6660	270	7	(	(	PUNCT
ejpam-6660	270	8	2	2	NUM
ejpam-6660	270	9	µeζ	µeζ	NOUN
ejpam-6660	270	10	+	+	NOUN
ejpam-6660	270	11	1	1	NUM
ejpam-6660	270	12	)	)	PUNCT
ejpam-6660	270	13	(	(	PUNCT
ejpam-6660	270	14	µeζ	µeζ	PROPN
ejpam-6660	270	15	+	+	CCONJ
ejpam-6660	270	16	1	1	NUM
ejpam-6660	270	17	2	2	NUM
ejpam-6660	270	18	)	)	PUNCT
ejpam-6660	270	19	=	=	SYM
ejpam-6660	270	20	1	1	NUM
ejpam-6660	270	21	2	2	NUM
ejpam-6660	270	22	(	(	PUNCT
ejpam-6660	270	23	µ	µ	X
ejpam-6660	270	24	∞∑	∞∑	NUM
ejpam-6660	270	25	ε=0	ε=0	NOUN
ejpam-6660	270	26	bela(α	bela(α	NOUN
ejpam-6660	270	27	)	)	PUNCT
ejpam-6660	270	28	ε	ε	PROPN
ejpam-6660	270	29	(	(	PUNCT
ejpam-6660	270	30	0	0	NUM
ejpam-6660	270	31	,	,	PUNCT
ejpam-6660	270	32	ρ;µ	ρ;µ	NUM
ejpam-6660	270	33	)	)	PUNCT
ejpam-6660	270	34	ζε	ζε	X
ejpam-6660	270	35	ε	ε	PROPN
ejpam-6660	270	36	!	!	PUNCT
ejpam-6660	271	1	∞∑	∞∑	ADJ
ejpam-6660	271	2	δ=0	δ=0	PROPN
ejpam-6660	271	3	eδ(σ;µ	eδ(σ;µ	NOUN
ejpam-6660	271	4	)	)	PUNCT
ejpam-6660	271	5	ζδ	ζδ	X
ejpam-6660	272	1	δ	δ	NOUN
ejpam-6660	272	2	!	!	PUNCT
ejpam-6660	273	1	∞∑	∞∑	NUM
ejpam-6660	273	2	θ=0	θ=0	PROPN
ejpam-6660	273	3	ζθ	ζθ	NOUN
ejpam-6660	273	4	θ	θ	NOUN
ejpam-6660	273	5	!	!	PUNCT
ejpam-6660	274	1	+	+	CCONJ
ejpam-6660	274	2	∞∑	∞∑	PRON
ejpam-6660	274	3	ε=0	ε=0	VERB
ejpam-6660	274	4	bela(α	bela(α	NOUN
ejpam-6660	274	5	)	)	PUNCT
ejpam-6660	274	6	ε	ε	PROPN
ejpam-6660	274	7	(	(	PUNCT
ejpam-6660	274	8	0	0	NUM
ejpam-6660	274	9	,	,	PUNCT
ejpam-6660	274	10	ρ;µ	ρ;µ	NUM
ejpam-6660	274	11	)	)	PUNCT
ejpam-6660	274	12	ζε	ζε	X
ejpam-6660	274	13	ε	ε	PROPN
ejpam-6660	274	14	!	!	PUNCT
ejpam-6660	275	1	∞∑	∞∑	ADJ
ejpam-6660	275	2	δ=0	δ=0	PROPN
ejpam-6660	275	3	eδ(σ;µ	eδ(σ;µ	NOUN
ejpam-6660	275	4	)	)	PUNCT
ejpam-6660	275	5	ζδ	ζδ	X
ejpam-6660	276	1	δ	δ	PROPN
ejpam-6660	276	2	!	!	PUNCT
ejpam-6660	276	3	)	)	PUNCT
ejpam-6660	276	4	,	,	PUNCT
ejpam-6660	276	5	(	(	PUNCT
ejpam-6660	276	6	54	54	NUM
ejpam-6660	276	7	)	)	PUNCT
ejpam-6660	276	8	which	which	PRON
ejpam-6660	276	9	yields	yield	VERB
ejpam-6660	276	10	the	the	DET
ejpam-6660	276	11	result	result	NOUN
ejpam-6660	276	12	(	(	PUNCT
ejpam-6660	276	13	53	53	NUM
ejpam-6660	276	14	)	)	PUNCT
ejpam-6660	276	15	.	.	PUNCT
ejpam-6660	277	1	theorem	theorem	NOUN
ejpam-6660	277	2	15	15	NUM
ejpam-6660	277	3	.	.	PUNCT
ejpam-6660	278	1	let	let	VERB
ejpam-6660	278	2	ε	ε	PROPN
ejpam-6660	278	3	≥	≥	PRON
ejpam-6660	278	4	0	0	NUM
ejpam-6660	278	5	.	.	PUNCT
ejpam-6660	279	1	then	then	ADV
ejpam-6660	279	2	bela(α	bela(α	VERB
ejpam-6660	279	3	)	)	PUNCT
ejpam-6660	279	4	ε	ε	PROPN
ejpam-6660	279	5	(	(	PUNCT
ejpam-6660	279	6	σ	σ	PROPN
ejpam-6660	279	7	,	,	PUNCT
ejpam-6660	279	8	ρ;µ	ρ;µ	NUM
ejpam-6660	279	9	)	)	PUNCT
ejpam-6660	279	10	=	=	SYM
ejpam-6660	279	11	1	1	NUM
ejpam-6660	279	12	2(ε+	2(ε+	NUM
ejpam-6660	279	13	1	1	NUM
ejpam-6660	279	14	)	)	PUNCT
ejpam-6660	279	15	ε+1∑	ε+1∑	PROPN
ejpam-6660	279	16	δ=0	δ=0	PROPN
ejpam-6660	279	17	(	(	PUNCT
ejpam-6660	279	18	ε+	ε+	X
ejpam-6660	279	19	1	1	NUM
ejpam-6660	279	20	δ	δ	NOUN
ejpam-6660	279	21	)	)	PUNCT
ejpam-6660	279	22	(	(	PUNCT
ejpam-6660	279	23	µ	µ	X
ejpam-6660	279	24	δ∑	δ∑	NOUN
ejpam-6660	279	25	θ=0	θ=0	X
ejpam-6660	279	26	(	(	PUNCT
ejpam-6660	279	27	δ	δ	PROPN
ejpam-6660	279	28	θ	θ	PROPN
ejpam-6660	279	29	)	)	PUNCT
ejpam-6660	279	30	gδ−θ(σ;µ	gδ−θ(σ;µ	NOUN
ejpam-6660	279	31	)	)	PUNCT
ejpam-6660	280	1	+	+	NUM
ejpam-6660	280	2	gθ(σ;µ	gθ(σ;µ	NOUN
ejpam-6660	280	3	)	)	PUNCT
ejpam-6660	280	4	)	)	PUNCT
ejpam-6660	280	5	bela	bela	NOUN
ejpam-6660	280	6	(	(	PUNCT
ejpam-6660	280	7	α	α	NOUN
ejpam-6660	280	8	)	)	PUNCT
ejpam-6660	280	9	ε−δ+1(0	ε−δ+1(0	PROPN
ejpam-6660	280	10	,	,	PUNCT
ejpam-6660	280	11	ρ;µ	ρ;µ	PROPN
ejpam-6660	280	12	)	)	PUNCT
ejpam-6660	280	13	.	.	PUNCT
ejpam-6660	281	1	(	(	PUNCT
ejpam-6660	281	2	55	55	NUM
ejpam-6660	281	3	)	)	PUNCT
ejpam-6660	281	4	proof	proof	NOUN
ejpam-6660	281	5	.	.	PUNCT
ejpam-6660	282	1	by	by	ADP
ejpam-6660	282	2	(	(	PUNCT
ejpam-6660	282	3	3	3	NUM
ejpam-6660	282	4	)	)	PUNCT
ejpam-6660	282	5	and	and	CCONJ
ejpam-6660	282	6	(	(	PUNCT
ejpam-6660	282	7	18	18	NUM
ejpam-6660	282	8	)	)	PUNCT
ejpam-6660	282	9	,	,	PUNCT
ejpam-6660	282	10	we	we	PRON
ejpam-6660	282	11	have	have	VERB
ejpam-6660	282	12	∞∑	∞∑	NUM
ejpam-6660	282	13	ε=0	ε=0	PUNCT
ejpam-6660	282	14	bela(α	bela(α	VERB
ejpam-6660	282	15	)	)	PUNCT
ejpam-6660	282	16	ε	ε	PROPN
ejpam-6660	282	17	(	(	PUNCT
ejpam-6660	282	18	σ	σ	PROPN
ejpam-6660	282	19	,	,	PUNCT
ejpam-6660	282	20	ρ;µ	ρ;µ	NUM
ejpam-6660	282	21	)	)	PUNCT
ejpam-6660	282	22	ζε	ζε	X
ejpam-6660	282	23	ε	ε	PROPN
ejpam-6660	282	24	!	!	PUNCT
ejpam-6660	282	25	=	=	PRON
ejpam-6660	282	26	(	(	PUNCT
ejpam-6660	282	27	1−	1−	NUM
ejpam-6660	282	28	µ	µ	X
ejpam-6660	282	29	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	282	30	)	)	PUNCT
ejpam-6660	283	1	−	−	PROPN
ejpam-6660	283	2	µ	µ	X
ejpam-6660	283	3	)	)	PUNCT
ejpam-6660	283	4	α	α	PROPN
ejpam-6660	283	5	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	PROPN
ejpam-6660	283	6	)	)	PUNCT
ejpam-6660	283	7	(	(	PUNCT
ejpam-6660	283	8	2ζ	2ζ	NUM
ejpam-6660	283	9	µeζ	µeζ	NOUN
ejpam-6660	283	10	+	+	NOUN
ejpam-6660	283	11	1	1	NUM
ejpam-6660	283	12	)	)	PUNCT
ejpam-6660	283	13	(	(	PUNCT
ejpam-6660	283	14	µeζ	µeζ	PROPN
ejpam-6660	283	15	+	+	NUM
ejpam-6660	283	16	1	1	NUM
ejpam-6660	283	17	2ζ	2ζ	NUM
ejpam-6660	283	18	)	)	PUNCT
ejpam-6660	283	19	=	=	SYM
ejpam-6660	283	20	1	1	NUM
ejpam-6660	283	21	2ζ	2ζ	NUM
ejpam-6660	283	22	(	(	PUNCT
ejpam-6660	283	23	µ	µ	X
ejpam-6660	283	24	∞∑	∞∑	NUM
ejpam-6660	283	25	ε=0	ε=0	NOUN
ejpam-6660	283	26	bela(α	bela(α	NOUN
ejpam-6660	283	27	)	)	PUNCT
ejpam-6660	283	28	ε	ε	PROPN
ejpam-6660	283	29	(	(	PUNCT
ejpam-6660	283	30	0	0	NUM
ejpam-6660	283	31	,	,	PUNCT
ejpam-6660	283	32	ρ;µ	ρ;µ	NUM
ejpam-6660	283	33	)	)	PUNCT
ejpam-6660	283	34	ζε	ζε	X
ejpam-6660	283	35	ε	ε	PROPN
ejpam-6660	283	36	!	!	PUNCT
ejpam-6660	284	1	∞∑	∞∑	ADJ
ejpam-6660	284	2	δ=0	δ=0	PROPN
ejpam-6660	284	3	gδ(σ;µ	gδ(σ;µ	NOUN
ejpam-6660	284	4	)	)	PUNCT
ejpam-6660	284	5	ζδ	ζδ	PROPN
ejpam-6660	285	1	δ	δ	NOUN
ejpam-6660	285	2	!	!	PUNCT
ejpam-6660	286	1	∞∑	∞∑	NUM
ejpam-6660	286	2	θ=0	θ=0	PROPN
ejpam-6660	286	3	ζθ	ζθ	NOUN
ejpam-6660	286	4	θ	θ	NOUN
ejpam-6660	286	5	!	!	PUNCT
ejpam-6660	287	1	+	+	CCONJ
ejpam-6660	287	2	∞∑	∞∑	PRON
ejpam-6660	287	3	ε=0	ε=0	VERB
ejpam-6660	287	4	bela(α	bela(α	NOUN
ejpam-6660	287	5	)	)	PUNCT
ejpam-6660	287	6	ε	ε	PROPN
ejpam-6660	287	7	(	(	PUNCT
ejpam-6660	287	8	0	0	NUM
ejpam-6660	287	9	,	,	PUNCT
ejpam-6660	287	10	ρ;µ	ρ;µ	NUM
ejpam-6660	287	11	)	)	PUNCT
ejpam-6660	287	12	ζε	ζε	X
ejpam-6660	287	13	ε	ε	PROPN
ejpam-6660	287	14	!	!	PUNCT
ejpam-6660	288	1	∞∑	∞∑	ADJ
ejpam-6660	288	2	δ=0	δ=0	PROPN
ejpam-6660	288	3	gδ(σ;µ	gδ(σ;µ	NOUN
ejpam-6660	288	4	)	)	PUNCT
ejpam-6660	288	5	ζδ	ζδ	PROPN
ejpam-6660	288	6	δ	δ	PROPN
ejpam-6660	288	7	!	!	PUNCT
ejpam-6660	288	8	)	)	PUNCT
ejpam-6660	288	9	,	,	PUNCT
ejpam-6660	288	10	which	which	PRON
ejpam-6660	288	11	implies	imply	VERB
ejpam-6660	288	12	the	the	DET
ejpam-6660	288	13	claimed	claim	VERB
ejpam-6660	288	14	result	result	NOUN
ejpam-6660	288	15	(	(	PUNCT
ejpam-6660	288	16	55	55	NUM
ejpam-6660	288	17	)	)	PUNCT
ejpam-6660	288	18	.	.	PUNCT
ejpam-6660	289	1	4	4	X
ejpam-6660	289	2	.	.	X
ejpam-6660	289	3	symmetric	symmetric	ADJ
ejpam-6660	289	4	identities	identity	NOUN
ejpam-6660	289	5	here	here	ADV
ejpam-6660	289	6	,	,	PUNCT
ejpam-6660	289	7	we	we	PRON
ejpam-6660	289	8	give	give	VERB
ejpam-6660	289	9	some	some	DET
ejpam-6660	289	10	symmetric	symmetric	ADJ
ejpam-6660	289	11	identities	identity	NOUN
ejpam-6660	289	12	of	of	ADP
ejpam-6660	289	13	the	the	DET
ejpam-6660	289	14	bell	bell	NOUN
ejpam-6660	289	15	-	-	PUNCT
ejpam-6660	289	16	based	base	VERB
ejpam-6660	289	17	frobenius	frobenius	NOUN
ejpam-6660	289	18	-	-	PUNCT
ejpam-6660	289	19	type	type	NOUN
ejpam-6660	289	20	eulerian	eulerian	ADJ
ejpam-6660	289	21	polynomials	polynomial	NOUN
ejpam-6660	289	22	of	of	ADP
ejpam-6660	289	23	order	order	NOUN
ejpam-6660	289	24	α	α	X
ejpam-6660	289	25	.	.	PUNCT
ejpam-6660	289	26	theorem	theorem	PROPN
ejpam-6660	289	27	16	16	NUM
ejpam-6660	289	28	.	.	PUNCT
ejpam-6660	290	1	let	let	VERB
ejpam-6660	290	2	ε	ε	PROPN
ejpam-6660	290	3	≥	≥	PRON
ejpam-6660	290	4	0	0	NUM
ejpam-6660	290	5	and	and	CCONJ
ejpam-6660	290	6	a	a	DET
ejpam-6660	290	7	,	,	PUNCT
ejpam-6660	290	8	b	b	NOUN
ejpam-6660	290	9	,	,	PUNCT
ejpam-6660	290	10	>	>	X
ejpam-6660	290	11	0	0	PUNCT
ejpam-6660	290	12	with	with	ADP
ejpam-6660	290	13	a	a	DET
ejpam-6660	290	14	̸=	̸=	PROPN
ejpam-6660	290	15	b	b	PROPN
ejpam-6660	290	16	.	.	PUNCT
ejpam-6660	291	1	then	then	ADV
ejpam-6660	291	2	ε∑	ε∑	X
ejpam-6660	291	3	δ=0	δ=0	PROPN
ejpam-6660	291	4	(	(	PUNCT
ejpam-6660	291	5	ε	ε	PROPN
ejpam-6660	291	6	δ	δ	PROPN
ejpam-6660	291	7	)	)	PUNCT
ejpam-6660	291	8	bδaε−δ	bδaε−δ	PROPN
ejpam-6660	291	9	bela	bela	PROPN
ejpam-6660	291	10	(	(	PUNCT
ejpam-6660	291	11	α	α	NOUN
ejpam-6660	291	12	)	)	PUNCT
ejpam-6660	291	13	ε−δ(bσ	ε−δ(bσ	PROPN
ejpam-6660	291	14	,	,	PUNCT
ejpam-6660	291	15	ρ;µ)bela	ρ;µ)bela	PROPN
ejpam-6660	291	16	(	(	PUNCT
ejpam-6660	291	17	α	α	NOUN
ejpam-6660	291	18	)	)	PUNCT
ejpam-6660	291	19	δ	δ	PROPN
ejpam-6660	291	20	(	(	PUNCT
ejpam-6660	291	21	aσ	aσ	ADP
ejpam-6660	291	22	,	,	PUNCT
ejpam-6660	291	23	ρ;µ	ρ;µ	NUM
ejpam-6660	291	24	)	)	PUNCT
ejpam-6660	292	1	=	=	SYM
ejpam-6660	292	2	ε∑	ε∑	X
ejpam-6660	292	3	δ=0	δ=0	PROPN
ejpam-6660	292	4	(	(	PUNCT
ejpam-6660	292	5	ε	ε	PROPN
ejpam-6660	292	6	δ	δ	PROPN
ejpam-6660	292	7	)	)	PUNCT
ejpam-6660	292	8	aδbε−δ	aδbε−δ	PROPN
ejpam-6660	292	9	bela	bela	PROPN
ejpam-6660	292	10	(	(	PUNCT
ejpam-6660	292	11	α	α	NOUN
ejpam-6660	292	12	)	)	PUNCT
ejpam-6660	292	13	ε−δ(aσ	ε−δ(aσ	PROPN
ejpam-6660	292	14	,	,	PUNCT
ejpam-6660	292	15	ρ;µ)bela	ρ;µ)bela	PROPN
ejpam-6660	292	16	(	(	PUNCT
ejpam-6660	292	17	α	α	NOUN
ejpam-6660	292	18	)	)	PUNCT
ejpam-6660	292	19	δ	δ	PROPN
ejpam-6660	292	20	(	(	PUNCT
ejpam-6660	292	21	bσ	bσ	PROPN
ejpam-6660	292	22	,	,	PUNCT
ejpam-6660	292	23	ρ;µ	ρ;µ	NUM
ejpam-6660	292	24	)	)	PUNCT
ejpam-6660	292	25	.	.	PUNCT
ejpam-6660	293	1	(	(	PUNCT
ejpam-6660	293	2	56	56	NUM
ejpam-6660	293	3	)	)	PUNCT
ejpam-6660	293	4	m.	m.	NOUN
ejpam-6660	293	5	sharma	sharma	PROPN
ejpam-6660	293	6	et	et	PROPN
ejpam-6660	293	7	al	al	PROPN
ejpam-6660	293	8	.	.	PUNCT
ejpam-6660	293	9	/	/	SYM
ejpam-6660	293	10	eur	eur	PROPN
ejpam-6660	293	11	.	.	PUNCT
ejpam-6660	294	1	j.	j.	PROPN
ejpam-6660	294	2	pure	pure	PROPN
ejpam-6660	294	3	appl	appl	PROPN
ejpam-6660	294	4	.	.	PROPN
ejpam-6660	294	5	math	math	PROPN
ejpam-6660	294	6	,	,	PUNCT
ejpam-6660	294	7	18	18	NUM
ejpam-6660	294	8	(	(	PUNCT
ejpam-6660	294	9	3	3	NUM
ejpam-6660	294	10	)	)	PUNCT
ejpam-6660	294	11	(	(	PUNCT
ejpam-6660	294	12	2025	2025	NUM
ejpam-6660	294	13	)	)	PUNCT
ejpam-6660	294	14	,	,	PUNCT
ejpam-6660	294	15	6660	6660	NUM
ejpam-6660	294	16	11	11	NUM
ejpam-6660	294	17	of	of	ADP
ejpam-6660	294	18	19	19	NUM
ejpam-6660	294	19	proof	proof	NOUN
ejpam-6660	294	20	.	.	PUNCT
ejpam-6660	295	1	let	let	VERB
ejpam-6660	295	2	a(ζ	a(ζ	NOUN
ejpam-6660	295	3	)	)	PUNCT
ejpam-6660	296	1	=	=	PRON
ejpam-6660	296	2	(	(	PUNCT
ejpam-6660	296	3	(	(	PUNCT
ejpam-6660	296	4	1−	1−	NUM
ejpam-6660	296	5	µ)2	µ)2	NOUN
ejpam-6660	296	6	(	(	PUNCT
ejpam-6660	296	7	e(µ−1)aζ	e(µ−1)aζ	NOUN
ejpam-6660	296	8	−	−	PROPN
ejpam-6660	296	9	µ)(e(µ−1)bζ	µ)(e(µ−1)bζ	PROPN
ejpam-6660	296	10	−	−	PROPN
ejpam-6660	296	11	µ	µ	NUM
ejpam-6660	296	12	)	)	PUNCT
ejpam-6660	296	13	)	)	PUNCT
ejpam-6660	297	1	α	α	PROPN
ejpam-6660	297	2	e2abσζ+ρ(eaζ−1)+ρ(ebζ−1	e2abσζ+ρ(eaζ−1)+ρ(ebζ−1	PROPN
ejpam-6660	297	3	)	)	PUNCT
ejpam-6660	297	4	,	,	PUNCT
ejpam-6660	297	5	(	(	PUNCT
ejpam-6660	297	6	57	57	NUM
ejpam-6660	297	7	)	)	PUNCT
ejpam-6660	297	8	a(ζ	a(ζ	PROPN
ejpam-6660	297	9	)	)	PUNCT
ejpam-6660	298	1	=	=	PUNCT
ejpam-6660	299	1	∞∑	∞∑	NUM
ejpam-6660	299	2	ε=0	ε=0	VERB
ejpam-6660	299	3	bela(α	bela(α	NOUN
ejpam-6660	299	4	)	)	PUNCT
ejpam-6660	299	5	ε	ε	PROPN
ejpam-6660	299	6	(	(	PUNCT
ejpam-6660	299	7	bσ	bσ	PROPN
ejpam-6660	299	8	,	,	PUNCT
ejpam-6660	299	9	ρ;µ	ρ;µ	NUM
ejpam-6660	299	10	)	)	PUNCT
ejpam-6660	299	11	(	(	PUNCT
ejpam-6660	299	12	aζ)ε	aζ)ε	PROPN
ejpam-6660	299	13	ε	ε	PROPN
ejpam-6660	299	14	!	!	PUNCT
ejpam-6660	300	1	∞∑	∞∑	ADJ
ejpam-6660	300	2	δ=0	δ=0	PROPN
ejpam-6660	300	3	bela	bela	PROPN
ejpam-6660	300	4	(	(	PUNCT
ejpam-6660	300	5	α	α	NOUN
ejpam-6660	300	6	)	)	PUNCT
ejpam-6660	300	7	δ	δ	PROPN
ejpam-6660	300	8	(	(	PUNCT
ejpam-6660	300	9	aσ	aσ	ADP
ejpam-6660	300	10	,	,	PUNCT
ejpam-6660	300	11	ρ;µ	ρ;µ	NUM
ejpam-6660	300	12	)	)	PUNCT
ejpam-6660	300	13	(	(	PUNCT
ejpam-6660	300	14	bζ)δ	bζ)δ	PROPN
ejpam-6660	300	15	δ	δ	PROPN
ejpam-6660	300	16	!	!	PUNCT
ejpam-6660	300	17	=	=	PUNCT
ejpam-6660	301	1	∞∑	∞∑	NUM
ejpam-6660	301	2	ε=0	ε=0	X
ejpam-6660	301	3	(	(	PUNCT
ejpam-6660	301	4	ε∑	ε∑	X
ejpam-6660	301	5	δ=0	δ=0	PROPN
ejpam-6660	301	6	(	(	PUNCT
ejpam-6660	301	7	ε	ε	PROPN
ejpam-6660	301	8	δ	δ	PROPN
ejpam-6660	301	9	)	)	PUNCT
ejpam-6660	301	10	bδaε−δ	bδaε−δ	PROPN
ejpam-6660	301	11	bela	bela	PROPN
ejpam-6660	301	12	(	(	PUNCT
ejpam-6660	301	13	α	α	NOUN
ejpam-6660	301	14	)	)	PUNCT
ejpam-6660	301	15	ε−δ(bσ	ε−δ(bσ	PROPN
ejpam-6660	301	16	,	,	PUNCT
ejpam-6660	301	17	ρ;µ)bela	ρ;µ)bela	PROPN
ejpam-6660	301	18	(	(	PUNCT
ejpam-6660	301	19	α	α	NOUN
ejpam-6660	301	20	)	)	PUNCT
ejpam-6660	301	21	δ	δ	PROPN
ejpam-6660	301	22	(	(	PUNCT
ejpam-6660	301	23	aσ	aσ	ADP
ejpam-6660	301	24	,	,	PUNCT
ejpam-6660	301	25	ρ;µ	ρ;µ	NUM
ejpam-6660	301	26	)	)	PUNCT
ejpam-6660	301	27	)	)	PUNCT
ejpam-6660	301	28	ζε	ζε	ADP
ejpam-6660	301	29	ε	ε	PROPN
ejpam-6660	301	30	!	!	PUNCT
ejpam-6660	301	31	.	.	PUNCT
ejpam-6660	302	1	similarly	similarly	ADV
ejpam-6660	302	2	,	,	PUNCT
ejpam-6660	302	3	we	we	PRON
ejpam-6660	302	4	can	can	AUX
ejpam-6660	302	5	show	show	VERB
ejpam-6660	302	6	that	that	SCONJ
ejpam-6660	302	7	a(ζ	a(ζ	NOUN
ejpam-6660	302	8	)	)	PUNCT
ejpam-6660	303	1	=	=	PUNCT
ejpam-6660	304	1	∞∑	∞∑	NUM
ejpam-6660	304	2	ε=0	ε=0	VERB
ejpam-6660	304	3	bela(α	bela(α	NOUN
ejpam-6660	304	4	)	)	PUNCT
ejpam-6660	304	5	ε	ε	PROPN
ejpam-6660	304	6	(	(	PUNCT
ejpam-6660	304	7	aσ	aσ	ADP
ejpam-6660	304	8	,	,	PUNCT
ejpam-6660	304	9	ρ;µ	ρ;µ	NUM
ejpam-6660	304	10	)	)	PUNCT
ejpam-6660	304	11	(	(	PUNCT
ejpam-6660	304	12	bζ)ε	bζ)ε	PROPN
ejpam-6660	304	13	ε	ε	PROPN
ejpam-6660	304	14	!	!	PUNCT
ejpam-6660	305	1	∞∑	∞∑	ADJ
ejpam-6660	305	2	δ=0	δ=0	PROPN
ejpam-6660	305	3	bela	bela	PROPN
ejpam-6660	305	4	(	(	PUNCT
ejpam-6660	305	5	α	α	NOUN
ejpam-6660	305	6	)	)	PUNCT
ejpam-6660	305	7	δ	δ	PROPN
ejpam-6660	305	8	(	(	PUNCT
ejpam-6660	305	9	bσ	bσ	PROPN
ejpam-6660	305	10	,	,	PUNCT
ejpam-6660	305	11	ρ;µ	ρ;µ	NUM
ejpam-6660	305	12	)	)	PUNCT
ejpam-6660	305	13	(	(	PUNCT
ejpam-6660	305	14	aζ)δ	aζ)δ	PROPN
ejpam-6660	305	15	δ	δ	PROPN
ejpam-6660	305	16	!	!	PUNCT
ejpam-6660	305	17	=	=	PUNCT
ejpam-6660	306	1	∞∑	∞∑	NUM
ejpam-6660	306	2	ε=0	ε=0	X
ejpam-6660	306	3	(	(	PUNCT
ejpam-6660	306	4	ε∑	ε∑	X
ejpam-6660	306	5	δ=0	δ=0	PROPN
ejpam-6660	306	6	(	(	PUNCT
ejpam-6660	306	7	ε	ε	PROPN
ejpam-6660	306	8	δ	δ	PROPN
ejpam-6660	306	9	)	)	PUNCT
ejpam-6660	306	10	aδbε−δ	aδbε−δ	PROPN
ejpam-6660	306	11	bela	bela	PROPN
ejpam-6660	306	12	(	(	PUNCT
ejpam-6660	306	13	α	α	NOUN
ejpam-6660	306	14	)	)	PUNCT
ejpam-6660	306	15	ε−δ(aσ	ε−δ(aσ	PROPN
ejpam-6660	306	16	,	,	PUNCT
ejpam-6660	306	17	ρ;µ)bela	ρ;µ)bela	PROPN
ejpam-6660	306	18	(	(	PUNCT
ejpam-6660	306	19	α	α	NOUN
ejpam-6660	306	20	)	)	PUNCT
ejpam-6660	306	21	δ	δ	PROPN
ejpam-6660	306	22	(	(	PUNCT
ejpam-6660	306	23	bσ	bσ	PROPN
ejpam-6660	306	24	,	,	PUNCT
ejpam-6660	306	25	ρ;µ	ρ;µ	NUM
ejpam-6660	306	26	)	)	PUNCT
ejpam-6660	306	27	)	)	PUNCT
ejpam-6660	306	28	ζε	ζε	ADP
ejpam-6660	306	29	ε	ε	PROPN
ejpam-6660	306	30	!	!	PROPN
ejpam-6660	306	31	,	,	PUNCT
ejpam-6660	306	32	which	which	PRON
ejpam-6660	306	33	implies	imply	VERB
ejpam-6660	306	34	the	the	DET
ejpam-6660	306	35	claimed	claim	VERB
ejpam-6660	306	36	result	result	NOUN
ejpam-6660	306	37	(	(	PUNCT
ejpam-6660	306	38	56	56	NUM
ejpam-6660	306	39	)	)	PUNCT
ejpam-6660	306	40	.	.	PUNCT
ejpam-6660	306	41	remark	remark	PROPN
ejpam-6660	306	42	6	6	NUM
ejpam-6660	306	43	.	.	PUNCT
ejpam-6660	306	44	for	for	ADP
ejpam-6660	306	45	α	α	NOUN
ejpam-6660	306	46	=	=	SYM
ejpam-6660	306	47	1	1	NUM
ejpam-6660	306	48	in	in	ADP
ejpam-6660	306	49	(	(	PUNCT
ejpam-6660	306	50	56	56	NUM
ejpam-6660	306	51	)	)	PUNCT
ejpam-6660	306	52	,	,	PUNCT
ejpam-6660	306	53	we	we	PRON
ejpam-6660	306	54	have	have	VERB
ejpam-6660	306	55	ε∑	ε∑	DET
ejpam-6660	306	56	δ=0	δ=0	PROPN
ejpam-6660	306	57	(	(	PUNCT
ejpam-6660	306	58	ε	ε	PROPN
ejpam-6660	306	59	δ	δ	PROPN
ejpam-6660	306	60	)	)	PUNCT
ejpam-6660	306	61	bδaε−δ	bδaε−δ	PROPN
ejpam-6660	306	62	belaε−δ(bσ	belaε−δ(bσ	PROPN
ejpam-6660	306	63	,	,	PUNCT
ejpam-6660	306	64	ρ;µ)belaδ(aσ	ρ;µ)belaδ(aσ	NUM
ejpam-6660	306	65	,	,	PUNCT
ejpam-6660	306	66	ρ;µ	ρ;µ	NUM
ejpam-6660	306	67	)	)	PUNCT
ejpam-6660	307	1	=	=	SYM
ejpam-6660	307	2	ε∑	ε∑	X
ejpam-6660	307	3	δ=0	δ=0	PROPN
ejpam-6660	307	4	(	(	PUNCT
ejpam-6660	307	5	ε	ε	PROPN
ejpam-6660	307	6	δ	δ	PROPN
ejpam-6660	307	7	)	)	PUNCT
ejpam-6660	307	8	aδbε−δ	aδbε−δ	PROPN
ejpam-6660	307	9	belaε−δ(aσ	belaε−δ(aσ	PROPN
ejpam-6660	307	10	,	,	PUNCT
ejpam-6660	307	11	ρ;µ)belaδ(bσ	ρ;µ)belaδ(bσ	PROPN
ejpam-6660	307	12	,	,	PUNCT
ejpam-6660	307	13	ρ;µ	ρ;µ	NUM
ejpam-6660	307	14	)	)	PUNCT
ejpam-6660	307	15	.	.	PUNCT
ejpam-6660	308	1	(	(	PUNCT
ejpam-6660	308	2	58	58	X
ejpam-6660	308	3	)	)	PUNCT
ejpam-6660	308	4	theorem	theorem	VERB
ejpam-6660	308	5	17	17	NUM
ejpam-6660	308	6	.	.	PUNCT
ejpam-6660	309	1	let	let	VERB
ejpam-6660	309	2	ε	ε	PROPN
ejpam-6660	309	3	≥	≥	PRON
ejpam-6660	309	4	0	0	NUM
ejpam-6660	309	5	.	.	PUNCT
ejpam-6660	310	1	then	then	ADV
ejpam-6660	310	2	ε∑	ε∑	X
ejpam-6660	310	3	δ=0	δ=0	PROPN
ejpam-6660	310	4	(	(	PUNCT
ejpam-6660	310	5	ε	ε	PROPN
ejpam-6660	310	6	δ	δ	PROPN
ejpam-6660	310	7	)	)	PUNCT
ejpam-6660	310	8	a−1∑	a−1∑	PRON
ejpam-6660	310	9	θ=0	θ=0	NOUN
ejpam-6660	310	10	b−1∑	b−1∑	NUM
ejpam-6660	310	11	ϑ=0	ϑ=0	PROPN
ejpam-6660	310	12	(	(	PUNCT
ejpam-6660	310	13	−µ)θ+ϑaε−δbδδbela	−µ)θ+ϑaε−δbδδbela	NUM
ejpam-6660	310	14	(	(	PUNCT
ejpam-6660	310	15	α	α	X
ejpam-6660	310	16	)	)	PUNCT
ejpam-6660	310	17	ε−δ	ε−δ	PROPN
ejpam-6660	310	18	(	(	PUNCT
ejpam-6660	310	19	bσ	bσ	NOUN
ejpam-6660	310	20	+	+	CCONJ
ejpam-6660	310	21	b	b	PROPN
ejpam-6660	310	22	a	a	DET
ejpam-6660	310	23	θ	θ	NOUN
ejpam-6660	310	24	+	+	CCONJ
ejpam-6660	310	25	ϑ	ϑ	X
ejpam-6660	310	26	,	,	PUNCT
ejpam-6660	310	27	ρ;µ	ρ;µ	NUM
ejpam-6660	310	28	)	)	PUNCT
ejpam-6660	310	29	bela	bela	NOUN
ejpam-6660	310	30	(	(	PUNCT
ejpam-6660	310	31	α	α	NOUN
ejpam-6660	310	32	)	)	PUNCT
ejpam-6660	310	33	k	k	NOUN
ejpam-6660	310	34	(	(	PUNCT
ejpam-6660	310	35	aσ	aσ	ADP
ejpam-6660	310	36	,	,	PUNCT
ejpam-6660	310	37	ρ;µ	ρ;µ	NUM
ejpam-6660	310	38	)	)	PUNCT
ejpam-6660	310	39	=	=	SYM
ejpam-6660	311	1	ε∑	ε∑	X
ejpam-6660	311	2	δ=0	δ=0	PROPN
ejpam-6660	311	3	(	(	PUNCT
ejpam-6660	311	4	ε	ε	PROPN
ejpam-6660	311	5	δ	δ	PROPN
ejpam-6660	311	6	)	)	PUNCT
ejpam-6660	311	7	b−1∑	b−1∑	VERB
ejpam-6660	311	8	θ=0	θ=0	X
ejpam-6660	311	9	a−1∑	a−1∑	X
ejpam-6660	311	10	ϑ=0	ϑ=0	PROPN
ejpam-6660	311	11	(	(	PUNCT
ejpam-6660	311	12	−λ)θ+ϑbε−δaδbela	−λ)θ+ϑbε−δaδbela	NUM
ejpam-6660	311	13	(	(	PUNCT
ejpam-6660	311	14	α	α	X
ejpam-6660	311	15	)	)	PUNCT
ejpam-6660	311	16	ε−δ	ε−δ	PROPN
ejpam-6660	311	17	(	(	PUNCT
ejpam-6660	311	18	aσ	aσ	ADV
ejpam-6660	311	19	+	+	CCONJ
ejpam-6660	311	20	a	a	DET
ejpam-6660	311	21	b	b	NOUN
ejpam-6660	311	22	θ	θ	NOUN
ejpam-6660	311	23	+	+	X
ejpam-6660	311	24	ϑ	ϑ	X
ejpam-6660	311	25	,	,	PUNCT
ejpam-6660	311	26	ρ;µ	ρ;µ	NUM
ejpam-6660	311	27	)	)	PUNCT
ejpam-6660	311	28	bela	bela	NOUN
ejpam-6660	311	29	(	(	PUNCT
ejpam-6660	311	30	α	α	NOUN
ejpam-6660	311	31	)	)	PUNCT
ejpam-6660	311	32	δ	δ	PROPN
ejpam-6660	311	33	(	(	PUNCT
ejpam-6660	311	34	bσ	bσ	PROPN
ejpam-6660	311	35	,	,	PUNCT
ejpam-6660	311	36	ρ;µ	ρ;µ	NUM
ejpam-6660	311	37	)	)	PUNCT
ejpam-6660	311	38	.	.	PUNCT
ejpam-6660	312	1	(	(	PUNCT
ejpam-6660	312	2	59	59	NUM
ejpam-6660	312	3	)	)	PUNCT
ejpam-6660	312	4	proof	proof	NOUN
ejpam-6660	312	5	.	.	PUNCT
ejpam-6660	313	1	let	let	VERB
ejpam-6660	313	2	b(ζ	b(ζ	PROPN
ejpam-6660	313	3	)	)	PUNCT
ejpam-6660	314	1	=	=	PRON
ejpam-6660	315	1	(	(	PUNCT
ejpam-6660	315	2	(	(	PUNCT
ejpam-6660	315	3	1−	1−	NUM
ejpam-6660	315	4	µ)2	µ)2	NOUN
ejpam-6660	315	5	(	(	PUNCT
ejpam-6660	315	6	e(µ−1)aζ	e(µ−1)aζ	NOUN
ejpam-6660	315	7	−	−	PROPN
ejpam-6660	315	8	µ)(e(µ−1)bζ	µ)(e(µ−1)bζ	PROPN
ejpam-6660	315	9	−	−	PROPN
ejpam-6660	315	10	µ	µ	NUM
ejpam-6660	315	11	)	)	PUNCT
ejpam-6660	315	12	)	)	PUNCT
ejpam-6660	315	13	α	α	PROPN
ejpam-6660	315	14	(	(	PUNCT
ejpam-6660	315	15	1−	1−	NUM
ejpam-6660	315	16	(	(	PUNCT
ejpam-6660	315	17	−µebζ	−µebζ	NOUN
ejpam-6660	315	18	)	)	PUNCT
ejpam-6660	315	19	a	a	X
ejpam-6660	315	20	)	)	PUNCT
ejpam-6660	315	21	(	(	PUNCT
ejpam-6660	315	22	1−	1−	NUM
ejpam-6660	315	23	(	(	PUNCT
ejpam-6660	315	24	−µeaζ	−µeaζ	NOUN
ejpam-6660	315	25	)	)	PUNCT
ejpam-6660	315	26	b	b	NOUN
ejpam-6660	315	27	)	)	PUNCT
ejpam-6660	315	28	(	(	PUNCT
ejpam-6660	315	29	µeaζ	µeaζ	NOUN
ejpam-6660	315	30	+	+	X
ejpam-6660	315	31	1)(µebζ	1)(µebζ	NUM
ejpam-6660	315	32	+	+	CCONJ
ejpam-6660	315	33	1	1	NUM
ejpam-6660	315	34	)	)	PUNCT
ejpam-6660	315	35	e2abσζ+ρ(eaζ−1)+ρ(ebζ−1	e2abσζ+ρ(eaζ−1)+ρ(ebζ−1	NOUN
ejpam-6660	315	36	)	)	PUNCT
ejpam-6660	315	37	.	.	PUNCT
ejpam-6660	316	1	then	then	ADV
ejpam-6660	316	2	,	,	PUNCT
ejpam-6660	316	3	we	we	PRON
ejpam-6660	316	4	have	have	VERB
ejpam-6660	316	5	b(ζ	b(ζ	VERB
ejpam-6660	316	6	)	)	PUNCT
ejpam-6660	316	7	=	=	PRON
ejpam-6660	317	1	(	(	PUNCT
ejpam-6660	317	2	1−	1−	NUM
ejpam-6660	317	3	µ	µ	PROPN
ejpam-6660	317	4	e(µ−1)aζ	e(µ−1)aζ	NOUN
ejpam-6660	317	5	−	−	PROPN
ejpam-6660	317	6	µ	µ	X
ejpam-6660	317	7	)	)	PUNCT
ejpam-6660	317	8	α	α	PRON
ejpam-6660	317	9	eabσζ+ρ(eaζ−1	eabσζ+ρ(eaζ−1	PROPN
ejpam-6660	317	10	)	)	PUNCT
ejpam-6660	317	11	(	(	PUNCT
ejpam-6660	317	12	1−	1−	NUM
ejpam-6660	317	13	(	(	PUNCT
ejpam-6660	317	14	−µebζ	−µebζ	NOUN
ejpam-6660	317	15	)	)	PUNCT
ejpam-6660	317	16	a	a	DET
ejpam-6660	317	17	µebζ	µebζ	NOUN
ejpam-6660	317	18	+	+	CCONJ
ejpam-6660	317	19	1	1	NUM
ejpam-6660	317	20	)	)	PUNCT
ejpam-6660	317	21	(	(	PUNCT
ejpam-6660	317	22	1−	1−	NUM
ejpam-6660	317	23	µ	µ	X
ejpam-6660	317	24	e(µ−1)bζ	e(µ−1)bζ	VERB
ejpam-6660	317	25	−	−	PROPN
ejpam-6660	317	26	µ	µ	X
ejpam-6660	317	27	)	)	PUNCT
ejpam-6660	317	28	α	α	NOUN
ejpam-6660	317	29	×	×	NOUN
ejpam-6660	317	30	(	(	PUNCT
ejpam-6660	317	31	1−	1−	NUM
ejpam-6660	317	32	(	(	PUNCT
ejpam-6660	317	33	−µeaζ	−µeaζ	NOUN
ejpam-6660	317	34	)	)	PUNCT
ejpam-6660	317	35	b	b	NOUN
ejpam-6660	317	36	µeaζ	µeaζ	NOUN
ejpam-6660	317	37	+	+	CCONJ
ejpam-6660	317	38	1	1	X
ejpam-6660	317	39	)	)	PUNCT
ejpam-6660	317	40	eabσζ+ρ(ebζ−1	eabσζ+ρ(ebζ−1	NOUN
ejpam-6660	317	41	)	)	PUNCT
ejpam-6660	317	42	=	=	PUNCT
ejpam-6660	317	43	(	(	PUNCT
ejpam-6660	317	44	1−	1−	NUM
ejpam-6660	317	45	µ	µ	PROPN
ejpam-6660	317	46	e(µ−1)aζ	e(µ−1)aζ	NOUN
ejpam-6660	317	47	−	−	PROPN
ejpam-6660	317	48	µ	µ	X
ejpam-6660	317	49	)	)	PUNCT
ejpam-6660	317	50	α	α	PRON
ejpam-6660	317	51	eabσζ+ρ(eaζ−1	eabσζ+ρ(eaζ−1	PROPN
ejpam-6660	317	52	)	)	PUNCT
ejpam-6660	317	53	a−1∑	a−1∑	PRON
ejpam-6660	317	54	θ=0	θ=0	X
ejpam-6660	317	55	(	(	PUNCT
ejpam-6660	317	56	−µ)θebζθ	−µ)θebζθ	PROPN
ejpam-6660	317	57	(	(	PUNCT
ejpam-6660	317	58	1−	1−	NUM
ejpam-6660	317	59	µ	µ	X
ejpam-6660	317	60	e(µ−1)bζ	e(µ−1)bζ	VERB
ejpam-6660	317	61	−	−	PROPN
ejpam-6660	317	62	µ	µ	X
ejpam-6660	317	63	)	)	PUNCT
ejpam-6660	317	64	α	α	PROPN
ejpam-6660	317	65	eabσζ+ρ(ebζ−1	eabσζ+ρ(ebζ−1	PROPN
ejpam-6660	317	66	)	)	PUNCT
ejpam-6660	317	67	b−1∑	b−1∑	NOUN
ejpam-6660	317	68	ε=0	ε=0	X
ejpam-6660	317	69	(	(	PUNCT
ejpam-6660	317	70	−µ)ϑeaζϑ	−µ)ϑeaζϑ	PROPN
ejpam-6660	317	71	m.	m.	PROPN
ejpam-6660	317	72	sharma	sharma	PROPN
ejpam-6660	317	73	et	et	PROPN
ejpam-6660	317	74	al	al	PROPN
ejpam-6660	317	75	.	.	PUNCT
ejpam-6660	317	76	/	/	SYM
ejpam-6660	317	77	eur	eur	PROPN
ejpam-6660	317	78	.	.	PUNCT
ejpam-6660	318	1	j.	j.	PROPN
ejpam-6660	318	2	pure	pure	PROPN
ejpam-6660	318	3	appl	appl	PROPN
ejpam-6660	318	4	.	.	PROPN
ejpam-6660	318	5	math	math	PROPN
ejpam-6660	318	6	,	,	PUNCT
ejpam-6660	318	7	18	18	NUM
ejpam-6660	318	8	(	(	PUNCT
ejpam-6660	318	9	3	3	NUM
ejpam-6660	318	10	)	)	PUNCT
ejpam-6660	318	11	(	(	PUNCT
ejpam-6660	318	12	2025	2025	NUM
ejpam-6660	318	13	)	)	PUNCT
ejpam-6660	318	14	,	,	PUNCT
ejpam-6660	318	15	6660	6660	NUM
ejpam-6660	318	16	12	12	NUM
ejpam-6660	318	17	of	of	ADP
ejpam-6660	318	18	19	19	NUM
ejpam-6660	318	19	=	=	SYM
ejpam-6660	318	20	(	(	PUNCT
ejpam-6660	318	21	1−	1−	NUM
ejpam-6660	318	22	µ	µ	PROPN
ejpam-6660	318	23	e(µ−1)aζ	e(µ−1)aζ	NOUN
ejpam-6660	318	24	−	−	PROPN
ejpam-6660	318	25	µ	µ	X
ejpam-6660	318	26	)	)	PUNCT
ejpam-6660	318	27	α	α	PROPN
ejpam-6660	318	28	eρ(e	eρ(e	PUNCT
ejpam-6660	318	29	aζ−1	aζ−1	PROPN
ejpam-6660	318	30	)	)	PUNCT
ejpam-6660	318	31	a−1∑	a−1∑	PRON
ejpam-6660	318	32	θ=0	θ=0	PROPN
ejpam-6660	318	33	b−1∑	b−1∑	NUM
ejpam-6660	318	34	ϑ=0	ϑ=0	PROPN
ejpam-6660	318	35	(	(	PUNCT
ejpam-6660	318	36	−µ)θ+ϑe(bσ+	−µ)θ+ϑe(bσ+	PROPN
ejpam-6660	318	37	b	b	PROPN
ejpam-6660	318	38	a	a	DET
ejpam-6660	318	39	θ+ϑ)aζ	θ+ϑ)aζ	NOUN
ejpam-6660	318	40	∞∑	∞∑	PROPN
ejpam-6660	318	41	δ=0	δ=0	PROPN
ejpam-6660	318	42	bela	bela	PROPN
ejpam-6660	318	43	(	(	PUNCT
ejpam-6660	318	44	α	α	NOUN
ejpam-6660	318	45	)	)	PUNCT
ejpam-6660	318	46	δ	δ	PROPN
ejpam-6660	318	47	(	(	PUNCT
ejpam-6660	318	48	aσ	aσ	ADP
ejpam-6660	318	49	,	,	PUNCT
ejpam-6660	318	50	ρ;µ	ρ;µ	NUM
ejpam-6660	318	51	)	)	PUNCT
ejpam-6660	318	52	(	(	PUNCT
ejpam-6660	318	53	bζ)δ	bζ)δ	PROPN
ejpam-6660	318	54	δ	δ	PROPN
ejpam-6660	318	55	!	!	PUNCT
ejpam-6660	318	56	=	=	NOUN
ejpam-6660	319	1	∞∑	∞∑	NUM
ejpam-6660	319	2	ε=0	ε=0	NOUN
ejpam-6660	319	3	a−1∑	a−1∑	PRON
ejpam-6660	319	4	θ=0	θ=0	X
ejpam-6660	319	5	b−1∑	b−1∑	NUM
ejpam-6660	319	6	ϑ=0	ϑ=0	PROPN
ejpam-6660	319	7	(	(	PUNCT
ejpam-6660	319	8	−µ)θ+ϑ	−µ)θ+ϑ	X
ejpam-6660	319	9	bela(α	bela(α	PROPN
ejpam-6660	319	10	)	)	PUNCT
ejpam-6660	319	11	ε	ε	PROPN
ejpam-6660	319	12	(	(	PUNCT
ejpam-6660	319	13	bσ	bσ	PROPN
ejpam-6660	319	14	+	+	CCONJ
ejpam-6660	319	15	b	b	PROPN
ejpam-6660	319	16	a	a	DET
ejpam-6660	319	17	θ	θ	NOUN
ejpam-6660	319	18	+	+	CCONJ
ejpam-6660	319	19	ϑ	ϑ	X
ejpam-6660	319	20	,	,	PUNCT
ejpam-6660	319	21	ρ;µ	ρ;µ	NUM
ejpam-6660	319	22	)	)	PUNCT
ejpam-6660	319	23	(	(	PUNCT
ejpam-6660	319	24	aζ)ε	aζ)ε	PROPN
ejpam-6660	319	25	ε	ε	PROPN
ejpam-6660	319	26	!	!	PUNCT
ejpam-6660	320	1	∞∑	∞∑	ADJ
ejpam-6660	320	2	δ=0	δ=0	PROPN
ejpam-6660	320	3	bela	bela	PROPN
ejpam-6660	320	4	(	(	PUNCT
ejpam-6660	320	5	α	α	NOUN
ejpam-6660	320	6	)	)	PUNCT
ejpam-6660	320	7	δ	δ	PROPN
ejpam-6660	320	8	(	(	PUNCT
ejpam-6660	320	9	aσ	aσ	ADP
ejpam-6660	320	10	,	,	PUNCT
ejpam-6660	320	11	ρ;µ	ρ;µ	NUM
ejpam-6660	320	12	)	)	PUNCT
ejpam-6660	320	13	(	(	PUNCT
ejpam-6660	320	14	bζ)δ	bζ)δ	PROPN
ejpam-6660	320	15	(	(	PUNCT
ejpam-6660	320	16	δ	δ	PROPN
ejpam-6660	320	17	)	)	PUNCT
ejpam-6660	320	18	!	!	PUNCT
ejpam-6660	321	1	=	=	PUNCT
ejpam-6660	322	1	∞∑	∞∑	NUM
ejpam-6660	322	2	ε=0	ε=0	X
ejpam-6660	322	3	ε∑	ε∑	X
ejpam-6660	322	4	δ=0	δ=0	PROPN
ejpam-6660	322	5	(	(	PUNCT
ejpam-6660	322	6	ε	ε	PROPN
ejpam-6660	322	7	δ	δ	PROPN
ejpam-6660	322	8	)	)	PUNCT
ejpam-6660	322	9	a−1∑	a−1∑	PRON
ejpam-6660	322	10	θ=0	θ=0	NOUN
ejpam-6660	322	11	b−1∑	b−1∑	NUM
ejpam-6660	322	12	ϑ=0	ϑ=0	PROPN
ejpam-6660	322	13	(	(	PUNCT
ejpam-6660	322	14	−µ)θ+ϑaε−δbδbela	−µ)θ+ϑaε−δbδbela	ADP
ejpam-6660	322	15	(	(	PUNCT
ejpam-6660	322	16	α	α	X
ejpam-6660	322	17	)	)	PUNCT
ejpam-6660	322	18	ε−δ	ε−δ	PROPN
ejpam-6660	322	19	(	(	PUNCT
ejpam-6660	322	20	bσ	bσ	NOUN
ejpam-6660	322	21	+	+	CCONJ
ejpam-6660	322	22	b	b	PROPN
ejpam-6660	322	23	a	a	DET
ejpam-6660	322	24	θ	θ	NOUN
ejpam-6660	322	25	+	+	CCONJ
ejpam-6660	322	26	ϑ	ϑ	X
ejpam-6660	322	27	,	,	PUNCT
ejpam-6660	322	28	ρ;µ	ρ;µ	NUM
ejpam-6660	322	29	)	)	PUNCT
ejpam-6660	322	30	×	×	NOUN
ejpam-6660	322	31	bela	bela	NOUN
ejpam-6660	322	32	(	(	PUNCT
ejpam-6660	322	33	α	α	NOUN
ejpam-6660	322	34	)	)	PUNCT
ejpam-6660	322	35	δ	δ	PROPN
ejpam-6660	322	36	(	(	PUNCT
ejpam-6660	322	37	aσ	aσ	ADP
ejpam-6660	322	38	,	,	PUNCT
ejpam-6660	322	39	ρ;µ	ρ;µ	NUM
ejpam-6660	322	40	)	)	PUNCT
ejpam-6660	322	41	ζε	ζε	X
ejpam-6660	322	42	ε	ε	PROPN
ejpam-6660	322	43	!	!	PUNCT
ejpam-6660	322	44	.	.	PUNCT
ejpam-6660	323	1	(	(	PUNCT
ejpam-6660	323	2	60	60	NUM
ejpam-6660	323	3	)	)	PUNCT
ejpam-6660	323	4	on	on	ADP
ejpam-6660	323	5	the	the	DET
ejpam-6660	323	6	other	other	ADJ
ejpam-6660	323	7	hand	hand	NOUN
ejpam-6660	323	8	,	,	PUNCT
ejpam-6660	323	9	we	we	PRON
ejpam-6660	323	10	have	have	VERB
ejpam-6660	323	11	b(ζ	b(ζ	VERB
ejpam-6660	323	12	)	)	PUNCT
ejpam-6660	323	13	=	=	PUNCT
ejpam-6660	324	1	∞∑	∞∑	NUM
ejpam-6660	324	2	ϵ=0	ϵ=0	PUNCT
ejpam-6660	324	3	ε∑	ε∑	X
ejpam-6660	324	4	δ=0	δ=0	PROPN
ejpam-6660	324	5	(	(	PUNCT
ejpam-6660	324	6	ε	ε	PROPN
ejpam-6660	324	7	δ	δ	PROPN
ejpam-6660	324	8	)	)	PUNCT
ejpam-6660	324	9	b−1∑	b−1∑	VERB
ejpam-6660	324	10	θ=0	θ=0	X
ejpam-6660	324	11	a−1∑	a−1∑	X
ejpam-6660	324	12	ϑ=0	ϑ=0	PROPN
ejpam-6660	324	13	(	(	PUNCT
ejpam-6660	324	14	−µ)θ+ϑbε−δaδbela	−µ)θ+ϑbε−δaδbela	X
ejpam-6660	324	15	(	(	PUNCT
ejpam-6660	324	16	α	α	X
ejpam-6660	324	17	)	)	PUNCT
ejpam-6660	324	18	ε−δ	ε−δ	PROPN
ejpam-6660	324	19	(	(	PUNCT
ejpam-6660	324	20	aσ	aσ	ADV
ejpam-6660	324	21	+	+	CCONJ
ejpam-6660	324	22	a	a	DET
ejpam-6660	324	23	b	b	NOUN
ejpam-6660	324	24	θ	θ	NOUN
ejpam-6660	324	25	+	+	X
ejpam-6660	324	26	ϑ	ϑ	X
ejpam-6660	324	27	,	,	PUNCT
ejpam-6660	324	28	ρ;µ	ρ;µ	NUM
ejpam-6660	324	29	)	)	PUNCT
ejpam-6660	324	30	×	×	NOUN
ejpam-6660	324	31	bela	bela	NOUN
ejpam-6660	324	32	(	(	PUNCT
ejpam-6660	324	33	α	α	NOUN
ejpam-6660	324	34	)	)	PUNCT
ejpam-6660	324	35	δ	δ	PROPN
ejpam-6660	324	36	(	(	PUNCT
ejpam-6660	324	37	bσ	bσ	PROPN
ejpam-6660	324	38	,	,	PUNCT
ejpam-6660	324	39	ρ;µ	ρ;µ	NUM
ejpam-6660	324	40	)	)	PUNCT
ejpam-6660	324	41	ζε	ζε	X
ejpam-6660	324	42	ε	ε	PROPN
ejpam-6660	324	43	!	!	PUNCT
ejpam-6660	324	44	.	.	PUNCT
ejpam-6660	325	1	(	(	PUNCT
ejpam-6660	325	2	61	61	NUM
ejpam-6660	325	3	)	)	PUNCT
ejpam-6660	325	4	by	by	ADP
ejpam-6660	325	5	(	(	PUNCT
ejpam-6660	325	6	60	60	NUM
ejpam-6660	325	7	)	)	PUNCT
ejpam-6660	325	8	and	and	CCONJ
ejpam-6660	325	9	(	(	PUNCT
ejpam-6660	325	10	61	61	NUM
ejpam-6660	325	11	)	)	PUNCT
ejpam-6660	325	12	,	,	PUNCT
ejpam-6660	325	13	we	we	PRON
ejpam-6660	325	14	arrive	arrive	VERB
ejpam-6660	325	15	at	at	ADP
ejpam-6660	325	16	the	the	DET
ejpam-6660	325	17	desired	desire	VERB
ejpam-6660	325	18	result	result	NOUN
ejpam-6660	325	19	(	(	PUNCT
ejpam-6660	325	20	59	59	NUM
ejpam-6660	325	21	)	)	PUNCT
ejpam-6660	325	22	.	.	PUNCT
ejpam-6660	326	1	5	5	X
ejpam-6660	326	2	.	.	X
ejpam-6660	326	3	stack	stack	NOUN
ejpam-6660	326	4	of	of	ADP
ejpam-6660	326	5	zeros	zero	NOUN
ejpam-6660	326	6	and	and	CCONJ
ejpam-6660	326	7	surface	surface	NOUN
ejpam-6660	326	8	representations	representation	NOUN
ejpam-6660	326	9	of	of	ADP
ejpam-6660	326	10	bell	bell	NOUN
ejpam-6660	326	11	-	-	PUNCT
ejpam-6660	326	12	based	base	VERB
ejpam-6660	326	13	frobenius	frobenius	NOUN
ejpam-6660	326	14	-	-	PUNCT
ejpam-6660	326	15	type	type	NOUN
ejpam-6660	326	16	eulerian	eulerian	ADJ
ejpam-6660	326	17	polynomials	polynomial	NOUN
ejpam-6660	326	18	certain	certain	ADJ
ejpam-6660	326	19	zero	zero	NUM
ejpam-6660	326	20	values	value	NOUN
ejpam-6660	326	21	of	of	ADP
ejpam-6660	326	22	the	the	DET
ejpam-6660	326	23	bell	bell	NOUN
ejpam-6660	326	24	-	-	PUNCT
ejpam-6660	326	25	based	base	VERB
ejpam-6660	326	26	frobenius	frobenius	NOUN
ejpam-6660	326	27	-	-	PUNCT
ejpam-6660	326	28	type	type	NOUN
ejpam-6660	326	29	eulerian	eulerian	ADJ
ejpam-6660	326	30	polynomials	polynomial	NOUN
ejpam-6660	326	31	are	be	AUX
ejpam-6660	326	32	discussed	discuss	VERB
ejpam-6660	326	33	,	,	PUNCT
ejpam-6660	326	34	and	and	CCONJ
ejpam-6660	326	35	some	some	DET
ejpam-6660	326	36	graphical	graphical	ADJ
ejpam-6660	326	37	representations	representation	NOUN
ejpam-6660	326	38	are	be	AUX
ejpam-6660	326	39	presented	present	VERB
ejpam-6660	326	40	in	in	ADP
ejpam-6660	326	41	this	this	DET
ejpam-6660	326	42	section	section	NOUN
ejpam-6660	326	43	.	.	PUNCT
ejpam-6660	327	1	let	let	VERB
ejpam-6660	327	2	’s	’s	PRON
ejpam-6660	327	3	remember	remember	VERB
ejpam-6660	327	4	the	the	DET
ejpam-6660	327	5	definition	definition	NOUN
ejpam-6660	327	6	of	of	ADP
ejpam-6660	327	7	bell	bell	NOUN
ejpam-6660	327	8	-	-	PUNCT
ejpam-6660	327	9	based	base	VERB
ejpam-6660	327	10	frobenius	frobenius	NOUN
ejpam-6660	327	11	-	-	PUNCT
ejpam-6660	327	12	type	type	NOUN
ejpam-6660	327	13	eulerian	eulerian	ADJ
ejpam-6660	327	14	polynomials	polynomial	NOUN
ejpam-6660	327	15	from	from	ADP
ejpam-6660	327	16	(	(	PUNCT
ejpam-6660	327	17	18	18	NUM
ejpam-6660	327	18	):	):	SYM
ejpam-6660	327	19	(	(	PUNCT
ejpam-6660	327	20	1−	1−	NUM
ejpam-6660	327	21	µ	µ	X
ejpam-6660	327	22	eζ(µ−1	eζ(µ−1	NOUN
ejpam-6660	327	23	)	)	PUNCT
ejpam-6660	328	1	−	−	PROPN
ejpam-6660	328	2	µ	µ	X
ejpam-6660	328	3	)	)	PUNCT
ejpam-6660	328	4	α	α	PROPN
ejpam-6660	328	5	eσζ+ρ(eζ−1	eσζ+ρ(eζ−1	NOUN
ejpam-6660	328	6	)	)	PUNCT
ejpam-6660	328	7	=	=	NOUN
ejpam-6660	329	1	∞∑	∞∑	NUM
ejpam-6660	329	2	ε=0	ε=0	VERB
ejpam-6660	329	3	bela(α	bela(α	NOUN
ejpam-6660	329	4	)	)	PUNCT
ejpam-6660	329	5	ε	ε	PROPN
ejpam-6660	329	6	(	(	PUNCT
ejpam-6660	329	7	σ	σ	PROPN
ejpam-6660	329	8	,	,	PUNCT
ejpam-6660	329	9	ρ;µ	ρ;µ	NUM
ejpam-6660	329	10	)	)	PUNCT
ejpam-6660	329	11	ζε	ζε	ADP
ejpam-6660	329	12	ε	ε	PROPN
ejpam-6660	329	13	!	!	PUNCT
ejpam-6660	329	14	∣∣∣∣ζ	∣∣∣∣ζ	NOUN
ejpam-6660	329	15	+	+	X
ejpam-6660	330	1	ln	ln	ADJ
ejpam-6660	331	1	(	(	PUNCT
ejpam-6660	331	2	µ−	µ−	PROPN
ejpam-6660	331	3	1	1	NUM
ejpam-6660	331	4	µ	µ	NOUN
ejpam-6660	331	5	)	)	PUNCT
ejpam-6660	331	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6660	331	7	<	<	X
ejpam-6660	331	8	2π	2π	NOUN
ejpam-6660	331	9	.	.	PUNCT
ejpam-6660	331	10	)	)	PUNCT
ejpam-6660	332	1	the	the	DET
ejpam-6660	332	2	first	first	ADJ
ejpam-6660	332	3	few	few	ADJ
ejpam-6660	332	4	polynomials	polynomial	NOUN
ejpam-6660	332	5	of	of	ADP
ejpam-6660	332	6	bela	bela	NOUN
ejpam-6660	332	7	(	(	PUNCT
ejpam-6660	332	8	α	α	NOUN
ejpam-6660	332	9	)	)	PUNCT
ejpam-6660	332	10	ε	ε	PROPN
ejpam-6660	332	11	(	(	PUNCT
ejpam-6660	332	12	σ	σ	PROPN
ejpam-6660	332	13	,	,	PUNCT
ejpam-6660	332	14	ρ;µ	ρ;µ	NUM
ejpam-6660	332	15	)	)	PUNCT
ejpam-6660	332	16	are	be	AUX
ejpam-6660	332	17	as	as	SCONJ
ejpam-6660	332	18	follows	follow	VERB
ejpam-6660	332	19	:	:	PUNCT
ejpam-6660	333	1	m.	m.	PROPN
ejpam-6660	333	2	sharma	sharma	PROPN
ejpam-6660	333	3	et	et	PROPN
ejpam-6660	333	4	al	al	PROPN
ejpam-6660	333	5	.	.	PUNCT
ejpam-6660	333	6	/	/	SYM
ejpam-6660	333	7	eur	eur	PROPN
ejpam-6660	333	8	.	.	PUNCT
ejpam-6660	334	1	j.	j.	PROPN
ejpam-6660	334	2	pure	pure	PROPN
ejpam-6660	334	3	appl	appl	PROPN
ejpam-6660	334	4	.	.	PROPN
ejpam-6660	334	5	math	math	PROPN
ejpam-6660	334	6	,	,	PUNCT
ejpam-6660	334	7	18	18	NUM
ejpam-6660	334	8	(	(	PUNCT
ejpam-6660	334	9	3	3	NUM
ejpam-6660	334	10	)	)	PUNCT
ejpam-6660	334	11	(	(	PUNCT
ejpam-6660	334	12	2025	2025	NUM
ejpam-6660	334	13	)	)	PUNCT
ejpam-6660	334	14	,	,	PUNCT
ejpam-6660	334	15	6660	6660	NUM
ejpam-6660	334	16	13	13	NUM
ejpam-6660	334	17	of	of	ADP
ejpam-6660	334	18	19	19	NUM
ejpam-6660	334	19	bela	bela	NOUN
ejpam-6660	334	20	(	(	PUNCT
ejpam-6660	334	21	α	α	NOUN
ejpam-6660	334	22	)	)	PUNCT
ejpam-6660	334	23	0	0	NUM
ejpam-6660	335	1	(	(	PUNCT
ejpam-6660	335	2	σ	σ	PROPN
ejpam-6660	335	3	,	,	PUNCT
ejpam-6660	335	4	ρ;µ	ρ;µ	NUM
ejpam-6660	335	5	)	)	PUNCT
ejpam-6660	336	1	=	=	SYM
ejpam-6660	336	2	1	1	NUM
ejpam-6660	336	3	,	,	PUNCT
ejpam-6660	336	4	bela	bela	NOUN
ejpam-6660	336	5	(	(	PUNCT
ejpam-6660	336	6	α	α	NOUN
ejpam-6660	336	7	)	)	PUNCT
ejpam-6660	336	8	1	1	NUM
ejpam-6660	336	9	(	(	PUNCT
ejpam-6660	336	10	σ	σ	PROPN
ejpam-6660	336	11	,	,	PUNCT
ejpam-6660	336	12	ρ;µ	ρ;µ	NUM
ejpam-6660	336	13	)	)	PUNCT
ejpam-6660	336	14	=	=	SYM
ejpam-6660	336	15	α+	α+	X
ejpam-6660	336	16	ρ+	ρ+	PROPN
ejpam-6660	336	17	σ	σ	NOUN
ejpam-6660	336	18	,	,	PUNCT
ejpam-6660	336	19	bela	bela	NOUN
ejpam-6660	336	20	(	(	PUNCT
ejpam-6660	336	21	α	α	NOUN
ejpam-6660	336	22	)	)	PUNCT
ejpam-6660	336	23	2	2	NUM
ejpam-6660	336	24	(	(	PUNCT
ejpam-6660	336	25	σ	σ	PROPN
ejpam-6660	336	26	,	,	PUNCT
ejpam-6660	336	27	ρ;µ	ρ;µ	NUM
ejpam-6660	336	28	)	)	PUNCT
ejpam-6660	336	29	=	=	VERB
ejpam-6660	337	1	α2	α2	ADJ
ejpam-6660	337	2	+	+	CCONJ
ejpam-6660	337	3	αµ+	αµ+	ADJ
ejpam-6660	337	4	ρ+	ρ+	NOUN
ejpam-6660	337	5	2αρ+	2αρ+	NUM
ejpam-6660	337	6	ρ2	ρ2	NOUN
ejpam-6660	337	7	+	+	CCONJ
ejpam-6660	337	8	2ασ	2ασ	ADJ
ejpam-6660	337	9	+	+	CCONJ
ejpam-6660	337	10	2ρσ	2ρσ	ADJ
ejpam-6660	337	11	+	+	CCONJ
ejpam-6660	337	12	σ2	σ2	NOUN
ejpam-6660	337	13	,	,	PUNCT
ejpam-6660	337	14	bela	bela	NOUN
ejpam-6660	337	15	(	(	PUNCT
ejpam-6660	337	16	α	α	NOUN
ejpam-6660	337	17	)	)	PUNCT
ejpam-6660	337	18	3	3	NUM
ejpam-6660	337	19	(	(	PUNCT
ejpam-6660	337	20	σ	σ	PROPN
ejpam-6660	337	21	,	,	PUNCT
ejpam-6660	337	22	ρ;µ	ρ;µ	NUM
ejpam-6660	337	23	)	)	PUNCT
ejpam-6660	337	24	=	=	SYM
ejpam-6660	337	25	α3	α3	NOUN
ejpam-6660	337	26	+	+	CCONJ
ejpam-6660	337	27	αµ+	αµ+	ADJ
ejpam-6660	337	28	3α2µ+	3α2µ+	NUM
ejpam-6660	337	29	αµ2	αµ2	NOUN
ejpam-6660	337	30	+	+	CCONJ
ejpam-6660	337	31	ρ+	ρ+	NUM
ejpam-6660	337	32	3αρ+	3αρ+	NUM
ejpam-6660	337	33	3α2ρ+	3α2ρ+	NUM
ejpam-6660	337	34	3αµρ	3αµρ	NUM
ejpam-6660	337	35	+	+	CCONJ
ejpam-6660	337	36	3ρ2	3ρ2	NUM
ejpam-6660	337	37	+	+	CCONJ
ejpam-6660	337	38	3αρ2	3αρ2	NUM
ejpam-6660	337	39	+	+	CCONJ
ejpam-6660	337	40	ρ3	ρ3	NOUN
ejpam-6660	337	41	+	+	CCONJ
ejpam-6660	337	42	3α2σ	3α2σ	NUM
ejpam-6660	337	43	+	+	CCONJ
ejpam-6660	337	44	3αµσ	3αµσ	NUM
ejpam-6660	337	45	+	+	NUM
ejpam-6660	337	46	3ρσ	3ρσ	ADJ
ejpam-6660	337	47	+	+	PUNCT
ejpam-6660	337	48	6αρσ	6αρσ	NUM
ejpam-6660	337	49	+	+	CCONJ
ejpam-6660	337	50	3ρ2σ	3ρ2σ	NOUN
ejpam-6660	338	1	+	+	PUNCT
ejpam-6660	338	2	3ασ2	3ασ2	NUM
ejpam-6660	338	3	+	+	CCONJ
ejpam-6660	338	4	3ρσ2	3ρσ2	NUM
ejpam-6660	338	5	+	+	CCONJ
ejpam-6660	338	6	σ3	σ3	PROPN
ejpam-6660	338	7	,	,	PUNCT
ejpam-6660	338	8	bela	bela	NOUN
ejpam-6660	338	9	(	(	PUNCT
ejpam-6660	338	10	α	α	NOUN
ejpam-6660	338	11	)	)	PUNCT
ejpam-6660	338	12	4	4	NUM
ejpam-6660	338	13	(	(	PUNCT
ejpam-6660	338	14	σ	σ	PROPN
ejpam-6660	338	15	,	,	PUNCT
ejpam-6660	338	16	ρ;µ	ρ;µ	NUM
ejpam-6660	338	17	)	)	PUNCT
ejpam-6660	338	18	=	=	NOUN
ejpam-6660	339	1	−α+	−α+	NOUN
ejpam-6660	339	2	α4	α4	NOUN
ejpam-6660	339	3	+	+	CCONJ
ejpam-6660	339	4	24α	24α	NOUN
ejpam-6660	339	5	(	(	PUNCT
ejpam-6660	339	6	1−	1−	NUM
ejpam-6660	339	7	µ)4	µ)4	PROPN
ejpam-6660	339	8	−	−	PROPN
ejpam-6660	339	9	36α	36α	X
ejpam-6660	339	10	(	(	PUNCT
ejpam-6660	339	11	1−	1−	NUM
ejpam-6660	339	12	µ)3	µ)3	NOUN
ejpam-6660	339	13	+	+	NUM
ejpam-6660	339	14	14α	14α	NUM
ejpam-6660	339	15	(	(	PUNCT
ejpam-6660	339	16	1−	1−	NUM
ejpam-6660	339	17	µ)2	µ)2	NOUN
ejpam-6660	339	18	−	−	PROPN
ejpam-6660	339	19	α	α	PROPN
ejpam-6660	339	20	1−	1−	NUM
ejpam-6660	339	21	µ	µ	PRON
ejpam-6660	339	22	−	−	PROPN
ejpam-6660	339	23	10αµ+	10αµ+	NUM
ejpam-6660	339	24	4α2µ	4α2µ	NUM
ejpam-6660	340	1	+	+	CCONJ
ejpam-6660	340	2	6α3µ−	6α3µ−	NUM
ejpam-6660	340	3	96αµ	96αµ	ADJ
ejpam-6660	340	4	(	(	PUNCT
ejpam-6660	340	5	1−	1−	NUM
ejpam-6660	340	6	µ)4	µ)4	NOUN
ejpam-6660	340	7	+	+	NUM
ejpam-6660	340	8	144αµ	144αµ	NOUN
ejpam-6660	340	9	(	(	PUNCT
ejpam-6660	340	10	1−	1−	NUM
ejpam-6660	340	11	µ)3	µ)3	NOUN
ejpam-6660	340	12	−	−	PROPN
ejpam-6660	340	13	56αµ	56αµ	NOUN
ejpam-6660	340	14	(	(	PUNCT
ejpam-6660	340	15	1−	1−	NUM
ejpam-6660	340	16	µ)2	µ)2	NOUN
ejpam-6660	340	17	+	+	CCONJ
ejpam-6660	340	18	4αµ	4αµ	ADJ
ejpam-6660	340	19	1−	1−	NUM
ejpam-6660	340	20	µ	µ	PRON
ejpam-6660	340	21	−	−	NOUN
ejpam-6660	340	22	7αµ2	7αµ2	NUM
ejpam-6660	340	23	+	+	CCONJ
ejpam-6660	340	24	7α2µ2	7α2µ2	NUM
ejpam-6660	341	1	+	+	CCONJ
ejpam-6660	341	2	144αµ2	144αµ2	NUM
ejpam-6660	341	3	(	(	PUNCT
ejpam-6660	341	4	1−	1−	NUM
ejpam-6660	341	5	µ)4	µ)4	PROPN
ejpam-6660	341	6	−	−	PROPN
ejpam-6660	341	7	216αµ2	216αµ2	NUM
ejpam-6660	341	8	(	(	PUNCT
ejpam-6660	341	9	1−	1−	NUM
ejpam-6660	341	10	µ)3	µ)3	NOUN
ejpam-6660	341	11	+	+	CCONJ
ejpam-6660	341	12	84αµ2	84αµ2	NUM
ejpam-6660	341	13	(	(	PUNCT
ejpam-6660	341	14	1−	1−	NUM
ejpam-6660	341	15	µ)2	µ)2	NOUN
ejpam-6660	341	16	−	−	PROPN
ejpam-6660	341	17	6αµ2	6αµ2	NUM
ejpam-6660	341	18	1−	1−	NUM
ejpam-6660	341	19	µ	µ	NUM
ejpam-6660	341	20	−	−	PROPN
ejpam-6660	341	21	96αµ3	96αµ3	NOUN
ejpam-6660	341	22	(	(	PUNCT
ejpam-6660	341	23	1−	1−	NUM
ejpam-6660	341	24	µ)4	µ)4	NOUN
ejpam-6660	341	25	+	+	NUM
ejpam-6660	341	26	144αµ3	144αµ3	NUM
ejpam-6660	341	27	(	(	PUNCT
ejpam-6660	341	28	1−	1−	NUM
ejpam-6660	341	29	µ)3	µ)3	NOUN
ejpam-6660	341	30	−	−	NUM
ejpam-6660	341	31	56αµ3	56αµ3	NUM
ejpam-6660	341	32	(	(	PUNCT
ejpam-6660	341	33	1−	1−	NUM
ejpam-6660	341	34	µ)2	µ)2	NOUN
ejpam-6660	341	35	+	+	CCONJ
ejpam-6660	341	36	4αµ3	4αµ3	NUM
ejpam-6660	341	37	1−	1−	NUM
ejpam-6660	341	38	µ	µ	X
ejpam-6660	341	39	+	+	NUM
ejpam-6660	341	40	24αµ4	24αµ4	NUM
ejpam-6660	341	41	(	(	PUNCT
ejpam-6660	341	42	1−	1−	NUM
ejpam-6660	341	43	µ)4	µ)4	PROPN
ejpam-6660	341	44	−	−	PROPN
ejpam-6660	341	45	36αµ4	36αµ4	NUM
ejpam-6660	341	46	(	(	PUNCT
ejpam-6660	341	47	1−	1−	NUM
ejpam-6660	341	48	µ)3	µ)3	NOUN
ejpam-6660	341	49	+	+	NUM
ejpam-6660	341	50	14αµ4	14αµ4	PROPN
ejpam-6660	341	51	(	(	PUNCT
ejpam-6660	341	52	1−	1−	NUM
ejpam-6660	341	53	µ)2	µ)2	NOUN
ejpam-6660	341	54	−	−	NOUN
ejpam-6660	341	55	αµ4	αµ4	NOUN
ejpam-6660	341	56	1−	1−	NUM
ejpam-6660	341	57	µ	µ	X
ejpam-6660	341	58	+	+	X
ejpam-6660	341	59	ρ	ρ	PROPN
ejpam-6660	341	60	+	+	NUM
ejpam-6660	342	1	4αρ+	4αρ+	NUM
ejpam-6660	342	2	6α2ρ+	6α2ρ+	NUM
ejpam-6660	342	3	4α3ρ+	4α3ρ+	NUM
ejpam-6660	342	4	10αµρ+	10αµρ+	NUM
ejpam-6660	342	5	12α2µρ+	12α2µρ+	NUM
ejpam-6660	342	6	4αµ2ρ	4αµ2ρ	NUM
ejpam-6660	343	1	+	+	CCONJ
ejpam-6660	343	2	7ρ2	7ρ2	NUM
ejpam-6660	343	3	+	+	NUM
ejpam-6660	343	4	12αρ2	12αρ2	NUM
ejpam-6660	344	1	+	+	NUM
ejpam-6660	344	2	6α2ρ2	6α2ρ2	NUM
ejpam-6660	345	1	+	+	CCONJ
ejpam-6660	345	2	6αµρ2	6αµρ2	PROPN
ejpam-6660	346	1	+	+	CCONJ
ejpam-6660	346	2	6ρ3	6ρ3	NUM
ejpam-6660	346	3	+	+	NUM
ejpam-6660	346	4	4αρ3	4αρ3	NUM
ejpam-6660	347	1	+	+	CCONJ
ejpam-6660	347	2	ρ4	ρ4	ADV
ejpam-6660	347	3	+	+	CCONJ
ejpam-6660	347	4	4α3σ	4α3σ	NOUN
ejpam-6660	348	1	+	+	CCONJ
ejpam-6660	348	2	4αµσ	4αµσ	PRON
ejpam-6660	348	3	+	+	CCONJ
ejpam-6660	348	4	12α2µσ	12α2µσ	NOUN
ejpam-6660	348	5	+	+	CCONJ
ejpam-6660	349	1	4αµ2σ	4αµ2σ	NUM
ejpam-6660	349	2	+	+	NUM
ejpam-6660	349	3	4ρσ	4ρσ	NOUN
ejpam-6660	349	4	+	+	CCONJ
ejpam-6660	349	5	12αρσ	12αρσ	NOUN
ejpam-6660	350	1	+	+	CCONJ
ejpam-6660	350	2	12α2ρσ	12α2ρσ	NUM
ejpam-6660	350	3	+	+	NUM
ejpam-6660	350	4	12αµρσ	12αµρσ	NUM
ejpam-6660	350	5	+	+	CCONJ
ejpam-6660	350	6	12ρ2σ	12ρ2σ	NUM
ejpam-6660	351	1	+	+	CCONJ
ejpam-6660	351	2	12αρ2σ	12αρ2σ	NUM
ejpam-6660	351	3	+	+	CCONJ
ejpam-6660	351	4	4ρ3σ	4ρ3σ	NUM
ejpam-6660	351	5	+	+	CCONJ
ejpam-6660	351	6	6α2σ2	6α2σ2	NUM
ejpam-6660	352	1	+	+	CCONJ
ejpam-6660	352	2	6αµσ2	6αµσ2	NUM
ejpam-6660	352	3	+	+	CCONJ
ejpam-6660	352	4	6ρσ2	6ρσ2	NUM
ejpam-6660	352	5	+	+	CCONJ
ejpam-6660	352	6	12αρσ2	12αρσ2	NUM
ejpam-6660	352	7	+	+	NUM
ejpam-6660	352	8	6ρ2σ2	6ρ2σ2	NUM
ejpam-6660	352	9	+	+	CCONJ
ejpam-6660	352	10	4ασ3	4ασ3	NUM
ejpam-6660	352	11	+	+	NUM
ejpam-6660	352	12	4ρσ3	4ρσ3	NUM
ejpam-6660	352	13	+	+	CCONJ
ejpam-6660	352	14	σ4	σ4	NOUN
ejpam-6660	352	15	.	.	PUNCT
ejpam-6660	352	16	m.	m.	PROPN
ejpam-6660	352	17	sharma	sharma	PROPN
ejpam-6660	352	18	et	et	PROPN
ejpam-6660	352	19	al	al	PROPN
ejpam-6660	352	20	.	.	PUNCT
ejpam-6660	352	21	/	/	SYM
ejpam-6660	352	22	eur	eur	PROPN
ejpam-6660	352	23	.	.	PUNCT
ejpam-6660	353	1	j.	j.	PROPN
ejpam-6660	353	2	pure	pure	PROPN
ejpam-6660	353	3	appl	appl	PROPN
ejpam-6660	353	4	.	.	PROPN
ejpam-6660	353	5	math	math	PROPN
ejpam-6660	353	6	,	,	PUNCT
ejpam-6660	353	7	18	18	NUM
ejpam-6660	353	8	(	(	PUNCT
ejpam-6660	353	9	3	3	NUM
ejpam-6660	353	10	)	)	PUNCT
ejpam-6660	353	11	(	(	PUNCT
ejpam-6660	353	12	2025	2025	NUM
ejpam-6660	353	13	)	)	PUNCT
ejpam-6660	353	14	,	,	PUNCT
ejpam-6660	353	15	6660	6660	NUM
ejpam-6660	353	16	14	14	NUM
ejpam-6660	353	17	of	of	ADP
ejpam-6660	353	18	19	19	NUM
ejpam-6660	353	19	we	we	PRON
ejpam-6660	353	20	obtain	obtain	VERB
ejpam-6660	353	21	the	the	DET
ejpam-6660	353	22	zeros	zero	NOUN
ejpam-6660	353	23	of	of	ADP
ejpam-6660	353	24	the	the	DET
ejpam-6660	353	25	bell	bell	NOUN
ejpam-6660	353	26	-	-	PUNCT
ejpam-6660	353	27	based	base	VERB
ejpam-6660	353	28	frobenius	frobenius	NOUN
ejpam-6660	353	29	-	-	PUNCT
ejpam-6660	353	30	type	type	NOUN
ejpam-6660	353	31	eulerian	eulerian	ADJ
ejpam-6660	353	32	polynomials	polynomial	NOUN
ejpam-6660	353	33	of	of	ADP
ejpam-6660	353	34	order	order	NOUN
ejpam-6660	353	35	α	α	NOUN
ejpam-6660	353	36	,	,	PUNCT
ejpam-6660	353	37	namely	namely	ADV
ejpam-6660	353	38	the	the	DET
ejpam-6660	353	39	solutions	solution	NOUN
ejpam-6660	353	40	of	of	ADP
ejpam-6660	353	41	bela	bela	NOUN
ejpam-6660	353	42	(	(	PUNCT
ejpam-6660	353	43	α	α	NOUN
ejpam-6660	353	44	)	)	PUNCT
ejpam-6660	353	45	ε	ε	PROPN
ejpam-6660	353	46	(	(	PUNCT
ejpam-6660	353	47	σ	σ	PROPN
ejpam-6660	353	48	,	,	PUNCT
ejpam-6660	353	49	ρ;µ	ρ;µ	NUM
ejpam-6660	353	50	)	)	PUNCT
ejpam-6660	353	51	,	,	PUNCT
ejpam-6660	353	52	by	by	ADP
ejpam-6660	353	53	making	make	VERB
ejpam-6660	353	54	use	use	NOUN
ejpam-6660	353	55	of	of	ADP
ejpam-6660	353	56	technology	technology	NOUN
ejpam-6660	353	57	,	,	PUNCT
ejpam-6660	353	58	given	give	VERB
ejpam-6660	353	59	in	in	ADP
ejpam-6660	353	60	figure	figure	NOUN
ejpam-6660	353	61	1	1	NUM
ejpam-6660	353	62	for	for	ADP
ejpam-6660	353	63	1	1	NUM
ejpam-6660	353	64	≤	≤	NUM
ejpam-6660	353	65	ε	ε	PROPN
ejpam-6660	353	66	≤	≤	NUM
ejpam-6660	353	67	20	20	NUM
ejpam-6660	353	68	:	:	PUNCT
ejpam-6660	353	69	-40	-40	PROPN
ejpam-6660	353	70	-20	-20	NUM
ejpam-6660	353	71	0	0	NUM
ejpam-6660	353	72	20	20	NUM
ejpam-6660	353	73	40	40	NUM
ejpam-6660	353	74	-40	-40	NUM
ejpam-6660	353	75	-20	-20	NUM
ejpam-6660	353	76	0	0	NUM
ejpam-6660	353	77	20	20	NUM
ejpam-6660	353	78	40	40	NUM
ejpam-6660	353	79	re(σ	re(σ	NOUN
ejpam-6660	353	80	)	)	PUNCT
ejpam-6660	353	81	im(σ	im(σ	ADV
ejpam-6660	353	82	)	)	PUNCT
ejpam-6660	353	83	-40	-40	PUNCT
ejpam-6660	353	84	-20	-20	NUM
ejpam-6660	353	85	0	0	NUM
ejpam-6660	353	86	20	20	NUM
ejpam-6660	353	87	40	40	NUM
ejpam-6660	353	88	-40	-40	NUM
ejpam-6660	353	89	-20	-20	NUM
ejpam-6660	353	90	0	0	NUM
ejpam-6660	353	91	20	20	NUM
ejpam-6660	353	92	40	40	NUM
ejpam-6660	353	93	re(σ	re(σ	NOUN
ejpam-6660	353	94	)	)	PUNCT
ejpam-6660	353	95	im(σ	im(σ	ADV
ejpam-6660	353	96	)	)	PUNCT
ejpam-6660	353	97	-40	-40	PUNCT
ejpam-6660	353	98	-20	-20	NUM
ejpam-6660	353	99	0	0	NUM
ejpam-6660	353	100	20	20	NUM
ejpam-6660	353	101	40	40	NUM
ejpam-6660	353	102	-40	-40	NUM
ejpam-6660	353	103	-20	-20	NUM
ejpam-6660	353	104	0	0	NUM
ejpam-6660	353	105	20	20	NUM
ejpam-6660	353	106	40	40	NUM
ejpam-6660	353	107	re(σ	re(σ	NOUN
ejpam-6660	353	108	)	)	PUNCT
ejpam-6660	353	109	im(σ	im(σ	ADV
ejpam-6660	353	110	)	)	PUNCT
ejpam-6660	353	111	-40	-40	PUNCT
ejpam-6660	353	112	-20	-20	NUM
ejpam-6660	353	113	0	0	NUM
ejpam-6660	353	114	20	20	NUM
ejpam-6660	353	115	40	40	NUM
ejpam-6660	353	116	-40	-40	NUM
ejpam-6660	353	117	-20	-20	NUM
ejpam-6660	353	118	0	0	NUM
ejpam-6660	353	119	20	20	NUM
ejpam-6660	353	120	40	40	NUM
ejpam-6660	353	121	re(σ	re(σ	NOUN
ejpam-6660	353	122	)	)	PUNCT
ejpam-6660	353	123	im(σ	im(σ	PUNCT
ejpam-6660	353	124	)	)	PUNCT
ejpam-6660	353	125	figure	figure	NOUN
ejpam-6660	353	126	1	1	NUM
ejpam-6660	353	127	:	:	PUNCT
ejpam-6660	353	128	zeros	zero	NOUN
ejpam-6660	353	129	of	of	ADP
ejpam-6660	353	130	bela(α	bela(α	PROPN
ejpam-6660	353	131	)	)	PUNCT
ejpam-6660	353	132	ε	ε	PROPN
ejpam-6660	353	133	(	(	PUNCT
ejpam-6660	353	134	σ	σ	PROPN
ejpam-6660	353	135	,	,	PUNCT
ejpam-6660	353	136	ρ;µ	ρ;µ	NUM
ejpam-6660	353	137	)	)	PUNCT
ejpam-6660	353	138	figure	figure	NOUN
ejpam-6660	353	139	1	1	NUM
ejpam-6660	353	140	(	(	PUNCT
ejpam-6660	353	141	top	top	ADV
ejpam-6660	353	142	-	-	PUNCT
ejpam-6660	353	143	left	left	ADJ
ejpam-6660	353	144	)	)	PUNCT
ejpam-6660	353	145	shows	show	VERB
ejpam-6660	353	146	the	the	DET
ejpam-6660	353	147	zeros	zero	NOUN
ejpam-6660	353	148	of	of	ADP
ejpam-6660	353	149	bela	bela	NOUN
ejpam-6660	353	150	(	(	PUNCT
ejpam-6660	353	151	5	5	NUM
ejpam-6660	353	152	)	)	PUNCT
ejpam-6660	353	153	ε	ε	PROPN
ejpam-6660	353	154	(	(	PUNCT
ejpam-6660	353	155	σ	σ	PROPN
ejpam-6660	353	156	,	,	PUNCT
ejpam-6660	353	157	5	5	NUM
ejpam-6660	353	158	;	;	PUNCT
ejpam-6660	353	159	3	3	NUM
ejpam-6660	353	160	)	)	PUNCT
ejpam-6660	353	161	for	for	ADP
ejpam-6660	353	162	1	1	NUM
ejpam-6660	353	163	≤	≤	NUM
ejpam-6660	353	164	ε	ε	PROPN
ejpam-6660	353	165	≤	≤	NUM
ejpam-6660	353	166	20	20	NUM
ejpam-6660	353	167	.	.	PUNCT
ejpam-6660	354	1	figure	figure	NOUN
ejpam-6660	354	2	1	1	NUM
ejpam-6660	354	3	(	(	PUNCT
ejpam-6660	354	4	top	top	ADJ
ejpam-6660	354	5	-	-	PUNCT
ejpam-6660	354	6	right	right	NOUN
ejpam-6660	354	7	)	)	PUNCT
ejpam-6660	354	8	shows	show	VERB
ejpam-6660	354	9	the	the	DET
ejpam-6660	354	10	zeros	zero	NOUN
ejpam-6660	354	11	of	of	ADP
ejpam-6660	354	12	bela	bela	NOUN
ejpam-6660	354	13	(	(	PUNCT
ejpam-6660	354	14	5	5	NUM
ejpam-6660	354	15	)	)	PUNCT
ejpam-6660	354	16	ε	ε	PROPN
ejpam-6660	354	17	(	(	PUNCT
ejpam-6660	354	18	σ,−5	σ,−5	PROPN
ejpam-6660	354	19	;	;	PUNCT
ejpam-6660	354	20	3	3	X
ejpam-6660	354	21	)	)	PUNCT
ejpam-6660	354	22	for	for	ADP
ejpam-6660	354	23	1	1	NUM
ejpam-6660	354	24	≤	≤	NUM
ejpam-6660	354	25	ε	ε	PROPN
ejpam-6660	354	26	≤	≤	NUM
ejpam-6660	354	27	20	20	NUM
ejpam-6660	354	28	.	.	PUNCT
ejpam-6660	355	1	figure	figure	NOUN
ejpam-6660	355	2	1	1	NUM
ejpam-6660	355	3	(	(	PUNCT
ejpam-6660	355	4	bottom	bottom	ADV
ejpam-6660	355	5	-	-	PUNCT
ejpam-6660	355	6	left	left	ADJ
ejpam-6660	355	7	)	)	PUNCT
ejpam-6660	355	8	shows	show	VERB
ejpam-6660	355	9	the	the	DET
ejpam-6660	355	10	zeros	zero	NOUN
ejpam-6660	355	11	of	of	ADP
ejpam-6660	355	12	bela	bela	NOUN
ejpam-6660	355	13	(	(	PUNCT
ejpam-6660	355	14	5	5	NUM
ejpam-6660	355	15	)	)	PUNCT
ejpam-6660	355	16	ε	ε	PROPN
ejpam-6660	355	17	(	(	PUNCT
ejpam-6660	355	18	σ	σ	PROPN
ejpam-6660	355	19	,	,	PUNCT
ejpam-6660	355	20	5;−3	5;−3	NUM
ejpam-6660	355	21	)	)	PUNCT
ejpam-6660	355	22	for	for	ADP
ejpam-6660	355	23	1	1	NUM
ejpam-6660	355	24	≤	≤	NUM
ejpam-6660	355	25	ε	ε	PROPN
ejpam-6660	355	26	≤	≤	NUM
ejpam-6660	355	27	20	20	NUM
ejpam-6660	355	28	.	.	PUNCT
ejpam-6660	356	1	figure	figure	NOUN
ejpam-6660	356	2	1	1	NUM
ejpam-6660	356	3	(	(	PUNCT
ejpam-6660	356	4	bottom	bottom	ADJ
ejpam-6660	356	5	-	-	PUNCT
ejpam-6660	356	6	right	right	NOUN
ejpam-6660	356	7	)	)	PUNCT
ejpam-6660	356	8	shows	show	VERB
ejpam-6660	356	9	the	the	DET
ejpam-6660	356	10	zeros	zero	NOUN
ejpam-6660	356	11	of	of	ADP
ejpam-6660	356	12	bela	bela	NOUN
ejpam-6660	356	13	(	(	PUNCT
ejpam-6660	356	14	5	5	NUM
ejpam-6660	356	15	)	)	PUNCT
ejpam-6660	356	16	ε	ε	PROPN
ejpam-6660	356	17	(	(	PUNCT
ejpam-6660	356	18	σ,−5;−3	σ,−5;−3	PROPN
ejpam-6660	356	19	)	)	PUNCT
ejpam-6660	356	20	for	for	ADP
ejpam-6660	356	21	1	1	NUM
ejpam-6660	356	22	≤	≤	NUM
ejpam-6660	356	23	ε	ε	PROPN
ejpam-6660	356	24	≤	≤	NUM
ejpam-6660	356	25	20	20	NUM
ejpam-6660	356	26	.	.	PUNCT
ejpam-6660	357	1	m.	m.	PROPN
ejpam-6660	357	2	sharma	sharma	PROPN
ejpam-6660	357	3	et	et	PROPN
ejpam-6660	357	4	al	al	PROPN
ejpam-6660	357	5	.	.	PUNCT
ejpam-6660	357	6	/	/	SYM
ejpam-6660	357	7	eur	eur	PROPN
ejpam-6660	357	8	.	.	PUNCT
ejpam-6660	358	1	j.	j.	PROPN
ejpam-6660	358	2	pure	pure	PROPN
ejpam-6660	358	3	appl	appl	PROPN
ejpam-6660	358	4	.	.	PROPN
ejpam-6660	358	5	math	math	PROPN
ejpam-6660	358	6	,	,	PUNCT
ejpam-6660	358	7	18	18	NUM
ejpam-6660	358	8	(	(	PUNCT
ejpam-6660	358	9	3	3	NUM
ejpam-6660	358	10	)	)	PUNCT
ejpam-6660	358	11	(	(	PUNCT
ejpam-6660	358	12	2025	2025	NUM
ejpam-6660	358	13	)	)	PUNCT
ejpam-6660	358	14	,	,	PUNCT
ejpam-6660	358	15	6660	6660	NUM
ejpam-6660	358	16	15	15	NUM
ejpam-6660	358	17	of	of	ADP
ejpam-6660	358	18	19	19	NUM
ejpam-6660	358	19	stacks	stack	NOUN
ejpam-6660	358	20	of	of	ADP
ejpam-6660	358	21	zeros	zero	NOUN
ejpam-6660	358	22	of	of	ADP
ejpam-6660	358	23	the	the	DET
ejpam-6660	358	24	generalized	generalize	VERB
ejpam-6660	358	25	bell	bell	NOUN
ejpam-6660	358	26	-	-	PUNCT
ejpam-6660	358	27	based	base	VERB
ejpam-6660	358	28	frobenius	frobenius	NOUN
ejpam-6660	358	29	-	-	PUNCT
ejpam-6660	358	30	type	type	NOUN
ejpam-6660	358	31	eulerian	eulerian	ADJ
ejpam-6660	358	32	polynomials	polynomial	NOUN
ejpam-6660	358	33	bela	bela	NOUN
ejpam-6660	358	34	(	(	PUNCT
ejpam-6660	358	35	α	α	NOUN
ejpam-6660	358	36	)	)	PUNCT
ejpam-6660	358	37	ε	ε	PROPN
ejpam-6660	358	38	(	(	PUNCT
ejpam-6660	358	39	σ	σ	PROPN
ejpam-6660	358	40	,	,	PUNCT
ejpam-6660	358	41	ρ;µ	ρ;µ	NUM
ejpam-6660	358	42	)	)	PUNCT
ejpam-6660	358	43	of	of	ADP
ejpam-6660	358	44	order	order	NOUN
ejpam-6660	358	45	α	α	NOUN
ejpam-6660	358	46	for	for	ADP
ejpam-6660	358	47	1	1	NUM
ejpam-6660	358	48	≤	≤	NUM
ejpam-6660	358	49	ε	ε	PROPN
ejpam-6660	358	50	≤	≤	NUM
ejpam-6660	358	51	20	20	NUM
ejpam-6660	358	52	,	,	PUNCT
ejpam-6660	358	53	creating	create	VERB
ejpam-6660	358	54	a	a	DET
ejpam-6660	358	55	3d	3d	NUM
ejpam-6660	358	56	structure	structure	NOUN
ejpam-6660	358	57	,	,	PUNCT
ejpam-6660	358	58	are	be	AUX
ejpam-6660	358	59	given	give	VERB
ejpam-6660	358	60	in	in	ADP
ejpam-6660	358	61	figure	figure	NOUN
ejpam-6660	358	62	2	2	NUM
ejpam-6660	358	63	:	:	PUNCT
ejpam-6660	358	64	figure	figure	NOUN
ejpam-6660	358	65	2	2	NUM
ejpam-6660	358	66	:	:	PUNCT
ejpam-6660	358	67	solutions	solution	NOUN
ejpam-6660	358	68	of	of	ADP
ejpam-6660	358	69	bela(α	bela(α	PROPN
ejpam-6660	358	70	)	)	PUNCT
ejpam-6660	358	71	ε	ε	PROPN
ejpam-6660	358	72	(	(	PUNCT
ejpam-6660	358	73	σ	σ	PROPN
ejpam-6660	358	74	,	,	PUNCT
ejpam-6660	358	75	ρ;µ	ρ;µ	NUM
ejpam-6660	358	76	)	)	PUNCT
ejpam-6660	358	77	=	=	SYM
ejpam-6660	358	78	0	0	NUM
ejpam-6660	358	79	figure	figure	NOUN
ejpam-6660	358	80	2	2	NUM
ejpam-6660	358	81	(	(	PUNCT
ejpam-6660	358	82	top	top	ADV
ejpam-6660	358	83	-	-	PUNCT
ejpam-6660	358	84	left	left	ADJ
ejpam-6660	358	85	)	)	PUNCT
ejpam-6660	358	86	shows	show	VERB
ejpam-6660	358	87	the	the	DET
ejpam-6660	358	88	zeros	zero	NOUN
ejpam-6660	358	89	of	of	ADP
ejpam-6660	358	90	bela	bela	NOUN
ejpam-6660	358	91	(	(	PUNCT
ejpam-6660	358	92	5	5	NUM
ejpam-6660	358	93	)	)	PUNCT
ejpam-6660	358	94	ε	ε	PROPN
ejpam-6660	358	95	(	(	PUNCT
ejpam-6660	358	96	σ	σ	PROPN
ejpam-6660	358	97	,	,	PUNCT
ejpam-6660	358	98	5	5	NUM
ejpam-6660	358	99	;	;	PUNCT
ejpam-6660	358	100	3	3	NUM
ejpam-6660	358	101	)	)	PUNCT
ejpam-6660	358	102	for	for	ADP
ejpam-6660	358	103	1	1	NUM
ejpam-6660	358	104	≤	≤	NUM
ejpam-6660	358	105	ε	ε	PROPN
ejpam-6660	358	106	≤	≤	NUM
ejpam-6660	358	107	20	20	NUM
ejpam-6660	358	108	.	.	PUNCT
ejpam-6660	359	1	figure	figure	NOUN
ejpam-6660	359	2	2	2	NUM
ejpam-6660	359	3	(	(	PUNCT
ejpam-6660	359	4	top	top	ADJ
ejpam-6660	359	5	-	-	PUNCT
ejpam-6660	359	6	right	right	NOUN
ejpam-6660	359	7	)	)	PUNCT
ejpam-6660	359	8	shows	show	VERB
ejpam-6660	359	9	the	the	DET
ejpam-6660	359	10	zeros	zero	NOUN
ejpam-6660	359	11	of	of	ADP
ejpam-6660	359	12	bela	bela	NOUN
ejpam-6660	359	13	(	(	PUNCT
ejpam-6660	359	14	5	5	NUM
ejpam-6660	359	15	)	)	PUNCT
ejpam-6660	359	16	ε	ε	PROPN
ejpam-6660	359	17	(	(	PUNCT
ejpam-6660	359	18	σ,−5	σ,−5	PROPN
ejpam-6660	359	19	;	;	PUNCT
ejpam-6660	359	20	3	3	X
ejpam-6660	359	21	)	)	PUNCT
ejpam-6660	359	22	for	for	ADP
ejpam-6660	359	23	1	1	NUM
ejpam-6660	359	24	≤	≤	NUM
ejpam-6660	359	25	ε	ε	PROPN
ejpam-6660	359	26	≤	≤	NUM
ejpam-6660	359	27	20	20	NUM
ejpam-6660	359	28	.	.	PUNCT
ejpam-6660	360	1	figure	figure	NOUN
ejpam-6660	360	2	2	2	NUM
ejpam-6660	360	3	(	(	PUNCT
ejpam-6660	360	4	bottom	bottom	ADV
ejpam-6660	360	5	-	-	PUNCT
ejpam-6660	360	6	left	left	ADJ
ejpam-6660	360	7	)	)	PUNCT
ejpam-6660	360	8	shows	show	VERB
ejpam-6660	360	9	the	the	DET
ejpam-6660	360	10	zeros	zero	NOUN
ejpam-6660	360	11	of	of	ADP
ejpam-6660	360	12	bela	bela	NOUN
ejpam-6660	360	13	(	(	PUNCT
ejpam-6660	360	14	5	5	NUM
ejpam-6660	360	15	)	)	PUNCT
ejpam-6660	360	16	ε	ε	PROPN
ejpam-6660	360	17	(	(	PUNCT
ejpam-6660	360	18	σ	σ	PROPN
ejpam-6660	360	19	,	,	PUNCT
ejpam-6660	360	20	5;−3	5;−3	NUM
ejpam-6660	360	21	)	)	PUNCT
ejpam-6660	360	22	for	for	ADP
ejpam-6660	360	23	1	1	NUM
ejpam-6660	360	24	≤	≤	NUM
ejpam-6660	360	25	ε	ε	PROPN
ejpam-6660	360	26	≤	≤	NUM
ejpam-6660	360	27	20	20	NUM
ejpam-6660	360	28	.	.	PUNCT
ejpam-6660	361	1	figure	figure	NOUN
ejpam-6660	361	2	2	2	NUM
ejpam-6660	361	3	(	(	PUNCT
ejpam-6660	361	4	bottom	bottom	ADJ
ejpam-6660	361	5	-	-	PUNCT
ejpam-6660	361	6	right	right	NOUN
ejpam-6660	361	7	)	)	PUNCT
ejpam-6660	361	8	shows	show	VERB
ejpam-6660	361	9	the	the	DET
ejpam-6660	361	10	zeros	zero	NOUN
ejpam-6660	361	11	of	of	ADP
ejpam-6660	361	12	bela	bela	NOUN
ejpam-6660	361	13	(	(	PUNCT
ejpam-6660	361	14	5	5	NUM
ejpam-6660	361	15	)	)	PUNCT
ejpam-6660	361	16	ε	ε	PROPN
ejpam-6660	361	17	(	(	PUNCT
ejpam-6660	361	18	σ,−5;−3	σ,−5;−3	PROPN
ejpam-6660	361	19	)	)	PUNCT
ejpam-6660	361	20	for	for	ADP
ejpam-6660	361	21	1	1	NUM
ejpam-6660	361	22	≤	≤	NUM
ejpam-6660	361	23	ε	ε	PROPN
ejpam-6660	361	24	≤	≤	NUM
ejpam-6660	361	25	20	20	NUM
ejpam-6660	361	26	.	.	PUNCT
ejpam-6660	362	1	m.	m.	PROPN
ejpam-6660	362	2	sharma	sharma	PROPN
ejpam-6660	362	3	et	et	PROPN
ejpam-6660	362	4	al	al	PROPN
ejpam-6660	362	5	.	.	PUNCT
ejpam-6660	362	6	/	/	SYM
ejpam-6660	362	7	eur	eur	PROPN
ejpam-6660	362	8	.	.	PUNCT
ejpam-6660	363	1	j.	j.	PROPN
ejpam-6660	363	2	pure	pure	PROPN
ejpam-6660	363	3	appl	appl	PROPN
ejpam-6660	363	4	.	.	PROPN
ejpam-6660	363	5	math	math	PROPN
ejpam-6660	363	6	,	,	PUNCT
ejpam-6660	363	7	18	18	NUM
ejpam-6660	363	8	(	(	PUNCT
ejpam-6660	363	9	3	3	NUM
ejpam-6660	363	10	)	)	PUNCT
ejpam-6660	363	11	(	(	PUNCT
ejpam-6660	363	12	2025	2025	NUM
ejpam-6660	363	13	)	)	PUNCT
ejpam-6660	363	14	,	,	PUNCT
ejpam-6660	363	15	6660	6660	NUM
ejpam-6660	363	16	16	16	NUM
ejpam-6660	363	17	of	of	ADP
ejpam-6660	363	18	19	19	NUM
ejpam-6660	363	19	plots	plot	NOUN
ejpam-6660	363	20	of	of	ADP
ejpam-6660	363	21	real	real	ADJ
ejpam-6660	363	22	zeros	zero	NOUN
ejpam-6660	363	23	of	of	ADP
ejpam-6660	363	24	the	the	DET
ejpam-6660	363	25	generalized	generalize	VERB
ejpam-6660	363	26	bell	bell	NOUN
ejpam-6660	363	27	-	-	PUNCT
ejpam-6660	363	28	based	base	VERB
ejpam-6660	363	29	frobenius	frobenius	NOUN
ejpam-6660	363	30	-	-	PUNCT
ejpam-6660	363	31	type	type	NOUN
ejpam-6660	363	32	eulerian	eulerian	ADJ
ejpam-6660	363	33	polynomials	polynomial	NOUN
ejpam-6660	363	34	bela	bela	NOUN
ejpam-6660	363	35	(	(	PUNCT
ejpam-6660	363	36	α	α	NOUN
ejpam-6660	363	37	)	)	PUNCT
ejpam-6660	363	38	ε	ε	PROPN
ejpam-6660	363	39	(	(	PUNCT
ejpam-6660	363	40	σ	σ	PROPN
ejpam-6660	363	41	,	,	PUNCT
ejpam-6660	363	42	ρ;µ	ρ;µ	NUM
ejpam-6660	363	43	)	)	PUNCT
ejpam-6660	363	44	of	of	ADP
ejpam-6660	363	45	order	order	NOUN
ejpam-6660	363	46	α	α	NOUN
ejpam-6660	363	47	for	for	ADP
ejpam-6660	363	48	1	1	NUM
ejpam-6660	363	49	≤	≤	NUM
ejpam-6660	363	50	ε	ε	PROPN
ejpam-6660	363	51	≤	≤	NUM
ejpam-6660	363	52	20	20	NUM
ejpam-6660	363	53	are	be	AUX
ejpam-6660	363	54	provided	provide	VERB
ejpam-6660	363	55	by	by	ADP
ejpam-6660	363	56	figure	figure	NOUN
ejpam-6660	363	57	3	3	NUM
ejpam-6660	363	58	:	:	PUNCT
ejpam-6660	363	59	figure	figure	VERB
ejpam-6660	363	60	3	3	NUM
ejpam-6660	363	61	:	:	PUNCT
ejpam-6660	363	62	real	real	ADJ
ejpam-6660	363	63	zeros	zero	NOUN
ejpam-6660	363	64	of	of	ADP
ejpam-6660	363	65	bela(α	bela(α	PROPN
ejpam-6660	363	66	)	)	PUNCT
ejpam-6660	363	67	ε	ε	PROPN
ejpam-6660	363	68	(	(	PUNCT
ejpam-6660	363	69	σ	σ	PROPN
ejpam-6660	363	70	,	,	PUNCT
ejpam-6660	363	71	ρ;µ	ρ;µ	NUM
ejpam-6660	363	72	)	)	PUNCT
ejpam-6660	363	73	figure	figure	NOUN
ejpam-6660	363	74	3	3	NUM
ejpam-6660	363	75	(	(	PUNCT
ejpam-6660	363	76	top	top	ADV
ejpam-6660	363	77	-	-	PUNCT
ejpam-6660	363	78	left	left	ADJ
ejpam-6660	363	79	)	)	PUNCT
ejpam-6660	363	80	shows	show	VERB
ejpam-6660	363	81	the	the	DET
ejpam-6660	363	82	real	real	ADJ
ejpam-6660	363	83	zeros	zero	NOUN
ejpam-6660	363	84	of	of	ADP
ejpam-6660	363	85	bela	bela	NOUN
ejpam-6660	363	86	(	(	PUNCT
ejpam-6660	363	87	5	5	NUM
ejpam-6660	363	88	)	)	PUNCT
ejpam-6660	363	89	ε	ε	PROPN
ejpam-6660	363	90	(	(	PUNCT
ejpam-6660	363	91	σ	σ	PROPN
ejpam-6660	363	92	,	,	PUNCT
ejpam-6660	363	93	5	5	NUM
ejpam-6660	363	94	;	;	PUNCT
ejpam-6660	363	95	3	3	NUM
ejpam-6660	363	96	)	)	PUNCT
ejpam-6660	363	97	for	for	ADP
ejpam-6660	363	98	1	1	NUM
ejpam-6660	363	99	≤	≤	NUM
ejpam-6660	363	100	ε	ε	PROPN
ejpam-6660	363	101	≤	≤	NUM
ejpam-6660	363	102	20	20	NUM
ejpam-6660	363	103	.	.	PUNCT
ejpam-6660	364	1	figure	figure	NOUN
ejpam-6660	364	2	3	3	NUM
ejpam-6660	364	3	(	(	PUNCT
ejpam-6660	364	4	topright	topright	PROPN
ejpam-6660	364	5	)	)	PUNCT
ejpam-6660	364	6	shows	show	VERB
ejpam-6660	364	7	the	the	DET
ejpam-6660	364	8	real	real	ADJ
ejpam-6660	364	9	zeros	zero	NOUN
ejpam-6660	364	10	of	of	ADP
ejpam-6660	364	11	bela	bela	NOUN
ejpam-6660	364	12	(	(	PUNCT
ejpam-6660	364	13	5	5	NUM
ejpam-6660	364	14	)	)	PUNCT
ejpam-6660	364	15	ε	ε	PROPN
ejpam-6660	364	16	(	(	PUNCT
ejpam-6660	364	17	σ,−5	σ,−5	PROPN
ejpam-6660	364	18	;	;	PUNCT
ejpam-6660	364	19	3	3	X
ejpam-6660	364	20	)	)	PUNCT
ejpam-6660	364	21	for	for	ADP
ejpam-6660	364	22	1	1	NUM
ejpam-6660	364	23	≤	≤	NUM
ejpam-6660	364	24	ε	ε	PROPN
ejpam-6660	364	25	≤	≤	NUM
ejpam-6660	364	26	20	20	NUM
ejpam-6660	364	27	.	.	PUNCT
ejpam-6660	365	1	figure	figure	NOUN
ejpam-6660	365	2	3	3	NUM
ejpam-6660	365	3	(	(	PUNCT
ejpam-6660	365	4	bottom	bottom	ADV
ejpam-6660	365	5	-	-	PUNCT
ejpam-6660	365	6	left	left	ADJ
ejpam-6660	365	7	)	)	PUNCT
ejpam-6660	365	8	shows	show	VERB
ejpam-6660	365	9	the	the	DET
ejpam-6660	365	10	real	real	ADJ
ejpam-6660	365	11	zeros	zero	NOUN
ejpam-6660	365	12	of	of	ADP
ejpam-6660	365	13	bela	bela	NOUN
ejpam-6660	365	14	(	(	PUNCT
ejpam-6660	365	15	5	5	NUM
ejpam-6660	365	16	)	)	PUNCT
ejpam-6660	365	17	ε	ε	PROPN
ejpam-6660	365	18	(	(	PUNCT
ejpam-6660	365	19	σ	σ	PROPN
ejpam-6660	365	20	,	,	PUNCT
ejpam-6660	365	21	5;−3	5;−3	NUM
ejpam-6660	365	22	)	)	PUNCT
ejpam-6660	365	23	for	for	ADP
ejpam-6660	365	24	1	1	NUM
ejpam-6660	365	25	≤	≤	NUM
ejpam-6660	365	26	ε	ε	PROPN
ejpam-6660	365	27	≤	≤	NUM
ejpam-6660	365	28	20	20	NUM
ejpam-6660	365	29	.	.	PUNCT
ejpam-6660	366	1	figure	figure	NOUN
ejpam-6660	366	2	3	3	NUM
ejpam-6660	366	3	(	(	PUNCT
ejpam-6660	366	4	bottom	bottom	ADJ
ejpam-6660	366	5	-	-	PUNCT
ejpam-6660	366	6	right	right	NOUN
ejpam-6660	366	7	)	)	PUNCT
ejpam-6660	366	8	shows	show	VERB
ejpam-6660	366	9	the	the	DET
ejpam-6660	366	10	real	real	ADJ
ejpam-6660	366	11	zeros	zero	NOUN
ejpam-6660	366	12	of	of	ADP
ejpam-6660	366	13	bela	bela	NOUN
ejpam-6660	366	14	(	(	PUNCT
ejpam-6660	366	15	5	5	NUM
ejpam-6660	366	16	)	)	PUNCT
ejpam-6660	366	17	ε	ε	PROPN
ejpam-6660	366	18	(	(	PUNCT
ejpam-6660	366	19	σ,−5;−3	σ,−5;−3	PROPN
ejpam-6660	366	20	)	)	PUNCT
ejpam-6660	366	21	for	for	ADP
ejpam-6660	366	22	1	1	NUM
ejpam-6660	366	23	≤	≤	NUM
ejpam-6660	366	24	ε	ε	PROPN
ejpam-6660	366	25	≤	≤	NUM
ejpam-6660	366	26	20	20	NUM
ejpam-6660	366	27	.	.	PUNCT
ejpam-6660	367	1	m.	m.	PROPN
ejpam-6660	367	2	sharma	sharma	PROPN
ejpam-6660	367	3	et	et	PROPN
ejpam-6660	367	4	al	al	PROPN
ejpam-6660	367	5	.	.	PUNCT
ejpam-6660	367	6	/	/	SYM
ejpam-6660	367	7	eur	eur	PROPN
ejpam-6660	367	8	.	.	PUNCT
ejpam-6660	368	1	j.	j.	PROPN
ejpam-6660	368	2	pure	pure	PROPN
ejpam-6660	368	3	appl	appl	PROPN
ejpam-6660	368	4	.	.	PROPN
ejpam-6660	368	5	math	math	PROPN
ejpam-6660	368	6	,	,	PUNCT
ejpam-6660	368	7	18	18	NUM
ejpam-6660	368	8	(	(	PUNCT
ejpam-6660	368	9	3	3	NUM
ejpam-6660	368	10	)	)	PUNCT
ejpam-6660	368	11	(	(	PUNCT
ejpam-6660	368	12	2025	2025	NUM
ejpam-6660	368	13	)	)	PUNCT
ejpam-6660	368	14	,	,	PUNCT
ejpam-6660	368	15	6660	6660	NUM
ejpam-6660	368	16	17	17	NUM
ejpam-6660	368	17	of	of	ADP
ejpam-6660	368	18	19	19	NUM
ejpam-6660	368	19	lastly	lastly	ADV
ejpam-6660	368	20	,	,	PUNCT
ejpam-6660	368	21	we	we	PRON
ejpam-6660	368	22	compute	compute	VERB
ejpam-6660	368	23	approximate	approximate	ADJ
ejpam-6660	368	24	solutions	solution	NOUN
ejpam-6660	368	25	of	of	ADP
ejpam-6660	368	26	bela	bela	NOUN
ejpam-6660	368	27	(	(	PUNCT
ejpam-6660	368	28	5	5	NUM
ejpam-6660	368	29	)	)	PUNCT
ejpam-6660	368	30	ε	ε	PROPN
ejpam-6660	368	31	(	(	PUNCT
ejpam-6660	368	32	σ	σ	PROPN
ejpam-6660	368	33	,	,	PUNCT
ejpam-6660	368	34	5	5	NUM
ejpam-6660	368	35	;	;	PUNCT
ejpam-6660	368	36	3	3	X
ejpam-6660	368	37	)	)	PUNCT
ejpam-6660	368	38	=	=	SYM
ejpam-6660	368	39	0	0	NUM
ejpam-6660	369	1	in	in	ADP
ejpam-6660	369	2	table	table	NOUN
ejpam-6660	369	3	1	1	NUM
ejpam-6660	369	4	:	:	PUNCT
ejpam-6660	369	5	table	table	NOUN
ejpam-6660	369	6	1	1	NUM
ejpam-6660	369	7	.	.	NUM
ejpam-6660	369	8	approximate	approximate	ADJ
ejpam-6660	369	9	solutions	solution	NOUN
ejpam-6660	369	10	of	of	ADP
ejpam-6660	369	11	bela	bela	NOUN
ejpam-6660	369	12	(	(	PUNCT
ejpam-6660	369	13	5	5	NUM
ejpam-6660	369	14	)	)	PUNCT
ejpam-6660	369	15	ε	ε	PROPN
ejpam-6660	369	16	(	(	PUNCT
ejpam-6660	369	17	σ	σ	PROPN
ejpam-6660	369	18	,	,	PUNCT
ejpam-6660	369	19	5	5	NUM
ejpam-6660	369	20	;	;	PUNCT
ejpam-6660	369	21	3	3	X
ejpam-6660	369	22	)	)	PUNCT
ejpam-6660	369	23	=	=	SYM
ejpam-6660	369	24	0	0	NUM
ejpam-6660	369	25	degree	degree	NOUN
ejpam-6660	369	26	ε	ε	PROPN
ejpam-6660	369	27	σ	σ	PROPN
ejpam-6660	369	28	1	1	NUM
ejpam-6660	369	29	−10.000	−10.000	NOUN
ejpam-6660	369	30	2	2	NUM
ejpam-6660	369	31	−10.0000−	−10.0000−	PROPN
ejpam-6660	369	32	4.4721i	4.4721i	NOUN
ejpam-6660	369	33	,	,	PUNCT
ejpam-6660	369	34	−10.0000	−10.0000	PROPN
ejpam-6660	369	35	+	+	CCONJ
ejpam-6660	369	36	4.4721i	4.4721i	PROPN
ejpam-6660	369	37	3	3	NUM
ejpam-6660	369	38	−11.063	−11.063	ADJ
ejpam-6660	369	39	,	,	PUNCT
ejpam-6660	369	40	−9.4684−	−9.4684−	PROPN
ejpam-6660	369	41	7.8005i	7.8005i	NOUN
ejpam-6660	369	42	,	,	PUNCT
ejpam-6660	369	43	−9.4684	−9.4684	X
ejpam-6660	370	1	+	+	PUNCT
ejpam-6660	370	2	7.8005i	7.8005i	NOUN
ejpam-6660	370	3	4	4	NUM
ejpam-6660	370	4	−11.3040−	−11.3040−	ADP
ejpam-6660	370	5	3.4430i	3.4430i	PROPN
ejpam-6660	370	6	,	,	PUNCT
ejpam-6660	370	7	−11.3040	−11.3040	PUNCT
ejpam-6660	370	8	+	+	CCONJ
ejpam-6660	370	9	3.4430i	3.4430i	NUM
ejpam-6660	370	10	,	,	PUNCT
ejpam-6660	370	11	−8.6960−	−8.6960−	PROPN
ejpam-6660	370	12	10.5616i	10.5616i	NUM
ejpam-6660	370	13	,	,	PUNCT
ejpam-6660	370	14	−8.6960	−8.6960	X
ejpam-6660	370	15	+	+	CCONJ
ejpam-6660	370	16	10.5616i	10.5616i	NUM
ejpam-6660	370	17	5	5	NUM
ejpam-6660	370	18	−12.134	−12.134	NOUN
ejpam-6660	370	19	,	,	PUNCT
ejpam-6660	370	20	−11.1517−	−11.1517−	PROPN
ejpam-6660	370	21	6.3553i	6.3553i	PROPN
ejpam-6660	370	22	,	,	PUNCT
ejpam-6660	370	23	−11.1517	−11.1517	PROPN
ejpam-6660	370	24	+	+	CCONJ
ejpam-6660	370	25	6.3553i	6.3553i	NUM
ejpam-6660	370	26	,	,	PUNCT
ejpam-6660	370	27	−7.781−	−7.781−	NOUN
ejpam-6660	370	28	12.967i	12.967i	NUM
ejpam-6660	370	29	,	,	PUNCT
ejpam-6660	370	30	−7.781	−7.781	PROPN
ejpam-6660	371	1	+	+	NUM
ejpam-6660	371	2	12.967i	12.967i	NUM
ejpam-6660	371	3	6	6	NUM
ejpam-6660	371	4	−12.4670−	−12.4670−	NOUN
ejpam-6660	371	5	2.9563i	2.9563i	NUM
ejpam-6660	371	6	,	,	PUNCT
ejpam-6660	371	7	−12.4670	−12.4670	PROPN
ejpam-6660	371	8	+	+	CCONJ
ejpam-6660	371	9	2.9563i	2.9563i	NUM
ejpam-6660	371	10	,	,	PUNCT
ejpam-6660	371	11	−10.7625−	−10.7625−	PROPN
ejpam-6660	371	12	8.9281i	8.9281i	NUM
ejpam-6660	371	13	,	,	PUNCT
ejpam-6660	371	14	−10.7625	−10.7625	PROPN
ejpam-6660	371	15	+	+	CCONJ
ejpam-6660	371	16	8.9281i	8.9281i	PROPN
ejpam-6660	371	17	,	,	PUNCT
ejpam-6660	371	18	−6.770−	−6.770−	ADJ
ejpam-6660	371	19	15.121i	15.121i	NUM
ejpam-6660	371	20	,	,	PUNCT
ejpam-6660	371	21	−6.770	−6.770	PROPN
ejpam-6660	371	22	+	+	CCONJ
ejpam-6660	371	23	15.121i	15.121i	NUM
ejpam-6660	371	24	7	7	NUM
ejpam-6660	371	25	−13.208	−13.208	ADJ
ejpam-6660	371	26	,	,	PUNCT
ejpam-6660	371	27	−12.4943−	−12.4943−	PROPN
ejpam-6660	371	28	5.5954i	5.5954i	PROPN
ejpam-6660	371	29	,	,	PUNCT
ejpam-6660	371	30	−12.4943	−12.4943	PROPN
ejpam-6660	371	31	+	+	PROPN
ejpam-6660	371	32	5.5954i	5.5954i	PROPN
ejpam-6660	371	33	,	,	PUNCT
ejpam-6660	371	34	−10.213−	−10.213−	NOUN
ejpam-6660	371	35	11.259i	11.259i	NUM
ejpam-6660	371	36	,	,	PUNCT
ejpam-6660	371	37	−10.213	−10.213	NOUN
ejpam-6660	371	38	+	+	CCONJ
ejpam-6660	371	39	11.259i	11.259i	NUM
ejpam-6660	371	40	,	,	PUNCT
ejpam-6660	371	41	−5.689−	−5.689−	PROPN
ejpam-6660	371	42	17.086i	17.086i	NUM
ejpam-6660	371	43	,	,	PUNCT
ejpam-6660	371	44	−5.689	−5.689	NOUN
ejpam-6660	371	45	+	+	CCONJ
ejpam-6660	371	46	17.086i	17.086i	NUM
ejpam-6660	371	47	8	8	NUM
ejpam-6660	371	48	−13.5902−	−13.5902−	NUM
ejpam-6660	371	49	2.6625i	2.6625i	NOUN
ejpam-6660	371	50	,	,	PUNCT
ejpam-6660	371	51	−13.5902	−13.5902	PROPN
ejpam-6660	371	52	+	+	CCONJ
ejpam-6660	371	53	2.6625i	2.6625i	NUM
ejpam-6660	371	54	,	,	PUNCT
ejpam-6660	371	55	−12.312−	−12.312−	NOUN
ejpam-6660	371	56	8.006i	8.006i	NOUN
ejpam-6660	371	57	,	,	PUNCT
ejpam-6660	371	58	−12.312	−12.312	NOUN
ejpam-6660	371	59	+	+	CCONJ
ejpam-6660	371	60	8.006i	8.006i	NOUN
ejpam-6660	371	61	,	,	PUNCT
ejpam-6660	371	62	−9.547−	−9.547−	NOUN
ejpam-6660	371	63	13.404i	13.404i	NUM
ejpam-6660	371	64	,	,	PUNCT
ejpam-6660	371	65	−9.547	−9.547	PROPN
ejpam-6660	371	66	+	+	PROPN
ejpam-6660	371	67	13.404i	13.404i	NUM
ejpam-6660	371	68	,	,	PUNCT
ejpam-6660	371	69	−4.552−	−4.552−	NOUN
ejpam-6660	371	70	18.901i	18.901i	NUM
ejpam-6660	371	71	,	,	PUNCT
ejpam-6660	371	72	−4.552	−4.552	PROPN
ejpam-6660	372	1	+	+	CCONJ
ejpam-6660	372	2	18.901i	18.901i	NUM
ejpam-6660	372	3	9	9	NUM
ejpam-6660	372	4	−14.284	−14.284	NOUN
ejpam-6660	372	5	,	,	PUNCT
ejpam-6660	372	6	−13.723−	−13.723−	PROPN
ejpam-6660	372	7	5.110i	5.110i	NUM
ejpam-6660	372	8	,	,	PUNCT
ejpam-6660	372	9	−13.723	−13.723	NOUN
ejpam-6660	372	10	+	+	CCONJ
ejpam-6660	372	11	5.110i	5.110i	PROPN
ejpam-6660	372	12	,	,	PUNCT
ejpam-6660	372	13	−11.975−	−11.975−	PROPN
ejpam-6660	372	14	10.240i	10.240i	NUM
ejpam-6660	372	15	,	,	PUNCT
ejpam-6660	372	16	−11.975	−11.975	NOUN
ejpam-6660	372	17	+	+	CCONJ
ejpam-6660	372	18	10.240i	10.240i	NUM
ejpam-6660	372	19	,	,	PUNCT
ejpam-6660	372	20	−8.791−	−8.791−	PROPN
ejpam-6660	372	21	15.403i	15.403i	NUM
ejpam-6660	372	22	,	,	PUNCT
ejpam-6660	372	23	−8.791	−8.791	PROPN
ejpam-6660	372	24	+	+	CCONJ
ejpam-6660	372	25	15.403i	15.403i	NUM
ejpam-6660	372	26	,	,	PUNCT
ejpam-6660	372	27	−3.369−	−3.369−	PROPN
ejpam-6660	372	28	20.595i	20.595i	NUM
ejpam-6660	372	29	,	,	PUNCT
ejpam-6660	372	30	−3.369	−3.369	NOUN
ejpam-6660	373	1	+	+	CCONJ
ejpam-6660	373	2	20.595i	20.595i	NUM
ejpam-6660	373	3	6	6	NUM
ejpam-6660	373	4	.	.	PUNCT
ejpam-6660	374	1	conclusion	conclusion	NOUN
ejpam-6660	374	2	hermite	hermite	PROPN
ejpam-6660	374	3	-	-	PUNCT
ejpam-6660	374	4	based	base	VERB
ejpam-6660	374	5	special	special	ADJ
ejpam-6660	374	6	polynomials	polynomial	NOUN
ejpam-6660	374	7	have	have	AUX
ejpam-6660	374	8	been	be	AUX
ejpam-6660	374	9	studied	study	VERB
ejpam-6660	374	10	for	for	ADP
ejpam-6660	374	11	a	a	DET
ejpam-6660	374	12	long	long	ADJ
ejpam-6660	374	13	time	time	NOUN
ejpam-6660	374	14	,	,	PUNCT
ejpam-6660	374	15	and	and	CCONJ
ejpam-6660	374	16	many	many	ADJ
ejpam-6660	374	17	mathematicians	mathematician	NOUN
ejpam-6660	374	18	and	and	CCONJ
ejpam-6660	374	19	scientists	scientist	NOUN
ejpam-6660	374	20	have	have	AUX
ejpam-6660	374	21	improved	improve	VERB
ejpam-6660	374	22	their	their	PRON
ejpam-6660	374	23	properties	property	NOUN
ejpam-6660	374	24	and	and	CCONJ
ejpam-6660	374	25	applications	application	NOUN
ejpam-6660	374	26	;	;	PUNCT
ejpam-6660	374	27	[	[	X
ejpam-6660	374	28	2	2	NUM
ejpam-6660	374	29	,	,	PUNCT
ejpam-6660	374	30	14	14	NUM
ejpam-6660	374	31	]	]	PUNCT
ejpam-6660	374	32	and	and	CCONJ
ejpam-6660	374	33	the	the	DET
ejpam-6660	374	34	references	reference	NOUN
ejpam-6660	374	35	cited	cite	VERB
ejpam-6660	374	36	therein	therein	ADV
ejpam-6660	374	37	.	.	PUNCT
ejpam-6660	375	1	in	in	ADP
ejpam-6660	375	2	recent	recent	ADJ
ejpam-6660	375	3	years	year	NOUN
ejpam-6660	375	4	,	,	PUNCT
ejpam-6660	375	5	by	by	ADP
ejpam-6660	375	6	the	the	DET
ejpam-6660	375	7	similar	similar	ADJ
ejpam-6660	375	8	motivation	motivation	NOUN
ejpam-6660	375	9	mentioned	mention	VERB
ejpam-6660	375	10	above	above	ADV
ejpam-6660	375	11	,	,	PUNCT
ejpam-6660	375	12	bell	bell	NOUN
ejpam-6660	375	13	-	-	PUNCT
ejpam-6660	375	14	based	base	VERB
ejpam-6660	375	15	special	special	ADJ
ejpam-6660	375	16	polynomials	polynomial	NOUN
ejpam-6660	375	17	such	such	ADJ
ejpam-6660	375	18	as	as	ADP
ejpam-6660	375	19	bell	bell	NOUN
ejpam-6660	375	20	-	-	PUNCT
ejpam-6660	375	21	based	base	VERB
ejpam-6660	375	22	bernoulli	bernoulli	NOUN
ejpam-6660	375	23	polynomials	polynomial	NOUN
ejpam-6660	375	24	in	in	ADP
ejpam-6660	375	25	[	[	X
ejpam-6660	375	26	8	8	NUM
ejpam-6660	375	27	]	]	PUNCT
ejpam-6660	375	28	,	,	PUNCT
ejpam-6660	375	29	bell	bell	NOUN
ejpam-6660	375	30	-	-	PUNCT
ejpam-6660	375	31	based	base	VERB
ejpam-6660	375	32	bernoulli	bernoulli	NOUN
ejpam-6660	375	33	polynomials	polynomial	NOUN
ejpam-6660	375	34	of	of	ADP
ejpam-6660	375	35	the	the	DET
ejpam-6660	375	36	first	first	ADJ
ejpam-6660	375	37	kind	kind	NOUN
ejpam-6660	375	38	in	in	ADP
ejpam-6660	375	39	[	[	X
ejpam-6660	375	40	7	7	NUM
ejpam-6660	375	41	]	]	PUNCT
ejpam-6660	375	42	,	,	PUNCT
ejpam-6660	375	43	and	and	CCONJ
ejpam-6660	375	44	bell	bell	NOUN
ejpam-6660	375	45	-	-	PUNCT
ejpam-6660	375	46	based	base	VERB
ejpam-6660	375	47	frobenius	frobenius	NOUN
ejpam-6660	375	48	-	-	PUNCT
ejpam-6660	375	49	type	type	NOUN
ejpam-6660	375	50	sine-(and	sine-(and	NOUN
ejpam-6660	375	51	cosine-)eulerian	cosine-)eulerian	NOUN
ejpam-6660	375	52	polynomials	polynomial	NOUN
ejpam-6660	375	53	in	in	ADP
ejpam-6660	375	54	[	[	X
ejpam-6660	375	55	15	15	NUM
ejpam-6660	375	56	]	]	PUNCT
ejpam-6660	375	57	have	have	AUX
ejpam-6660	375	58	been	be	AUX
ejpam-6660	375	59	defined	define	VERB
ejpam-6660	375	60	,	,	PUNCT
ejpam-6660	375	61	and	and	CCONJ
ejpam-6660	375	62	diverse	diverse	ADJ
ejpam-6660	375	63	properties	property	NOUN
ejpam-6660	375	64	,	,	PUNCT
ejpam-6660	375	65	applications	application	NOUN
ejpam-6660	375	66	,	,	PUNCT
ejpam-6660	375	67	and	and	CCONJ
ejpam-6660	375	68	relations	relation	NOUN
ejpam-6660	375	69	have	have	AUX
ejpam-6660	375	70	been	be	AUX
ejpam-6660	375	71	derived	derive	VERB
ejpam-6660	375	72	.	.	PUNCT
ejpam-6660	376	1	as	as	ADP
ejpam-6660	376	2	a	a	DET
ejpam-6660	376	3	link	link	NOUN
ejpam-6660	376	4	in	in	ADP
ejpam-6660	376	5	this	this	DET
ejpam-6660	376	6	working	work	VERB
ejpam-6660	376	7	chain	chain	NOUN
ejpam-6660	376	8	,	,	PUNCT
ejpam-6660	376	9	we	we	PRON
ejpam-6660	376	10	have	have	AUX
ejpam-6660	376	11	worked	work	VERB
ejpam-6660	376	12	on	on	ADP
ejpam-6660	376	13	bell	bell	NOUN
ejpam-6660	376	14	-	-	PUNCT
ejpam-6660	376	15	based	base	VERB
ejpam-6660	376	16	frobenius	frobenius	NOUN
ejpam-6660	376	17	-	-	PUNCT
ejpam-6660	376	18	type	type	NOUN
ejpam-6660	376	19	eulerian	eulerian	ADJ
ejpam-6660	376	20	polynomials	polynomial	NOUN
ejpam-6660	376	21	of	of	ADP
ejpam-6660	376	22	order	order	NOUN
ejpam-6660	376	23	α	α	NOUN
ejpam-6660	376	24	,	,	PUNCT
ejpam-6660	376	25	and	and	CCONJ
ejpam-6660	376	26	we	we	PRON
ejpam-6660	376	27	then	then	ADV
ejpam-6660	376	28	have	have	AUX
ejpam-6660	376	29	acquired	acquire	VERB
ejpam-6660	376	30	some	some	DET
ejpam-6660	376	31	relations	relation	NOUN
ejpam-6660	376	32	,	,	PUNCT
ejpam-6660	376	33	formulas	formula	NOUN
ejpam-6660	376	34	,	,	PUNCT
ejpam-6660	376	35	and	and	CCONJ
ejpam-6660	376	36	derivative	derivative	ADJ
ejpam-6660	376	37	properties	property	NOUN
ejpam-6660	376	38	.	.	PUNCT
ejpam-6660	377	1	also	also	ADV
ejpam-6660	377	2	,	,	PUNCT
ejpam-6660	377	3	we	we	PRON
ejpam-6660	377	4	have	have	AUX
ejpam-6660	377	5	examined	examine	VERB
ejpam-6660	377	6	some	some	DET
ejpam-6660	377	7	implicit	implicit	ADJ
ejpam-6660	377	8	summation	summation	NOUN
ejpam-6660	377	9	formulas	formula	NOUN
ejpam-6660	377	10	and	and	CCONJ
ejpam-6660	377	11	symmetric	symmetric	ADJ
ejpam-6660	377	12	identities	identity	NOUN
ejpam-6660	377	13	for	for	ADP
ejpam-6660	377	14	bell	bell	NOUN
ejpam-6660	377	15	-	-	PUNCT
ejpam-6660	377	16	based	base	VERB
ejpam-6660	377	17	frobenius	frobenius	NOUN
ejpam-6660	377	18	-	-	PUNCT
ejpam-6660	377	19	type	type	NOUN
ejpam-6660	377	20	eulerian	eulerian	ADJ
ejpam-6660	377	21	polynomials	polynomial	NOUN
ejpam-6660	377	22	of	of	ADP
ejpam-6660	377	23	order	order	NOUN
ejpam-6660	377	24	α	α	NOUN
ejpam-6660	377	25	.	.	PUNCT
ejpam-6660	378	1	lastly	lastly	ADV
ejpam-6660	378	2	,	,	PUNCT
ejpam-6660	378	3	we	we	PRON
ejpam-6660	378	4	have	have	AUX
ejpam-6660	378	5	shown	show	VERB
ejpam-6660	378	6	the	the	DET
ejpam-6660	378	7	stack	stack	NOUN
ejpam-6660	378	8	of	of	ADP
ejpam-6660	378	9	zeros	zero	NOUN
ejpam-6660	378	10	and	and	CCONJ
ejpam-6660	378	11	surface	surface	NOUN
ejpam-6660	378	12	representations	representation	NOUN
ejpam-6660	378	13	of	of	ADP
ejpam-6660	378	14	bell	bell	NOUN
ejpam-6660	378	15	-	-	PUNCT
ejpam-6660	378	16	based	base	VERB
ejpam-6660	378	17	frobenius	frobenius	NOUN
ejpam-6660	378	18	-	-	PUNCT
ejpam-6660	378	19	type	type	NOUN
ejpam-6660	378	20	eulerian	eulerian	ADJ
ejpam-6660	378	21	polynomials	polynomial	NOUN
ejpam-6660	378	22	for	for	ADP
ejpam-6660	378	23	several	several	ADJ
ejpam-6660	378	24	specific	specific	ADJ
ejpam-6660	378	25	parameters	parameter	NOUN
ejpam-6660	378	26	with	with	ADP
ejpam-6660	378	27	specific	specific	ADJ
ejpam-6660	378	28	values	value	NOUN
ejpam-6660	378	29	.	.	PUNCT
ejpam-6660	379	1	future	future	ADJ
ejpam-6660	379	2	research	research	NOUN
ejpam-6660	379	3	can	can	AUX
ejpam-6660	379	4	explore	explore	VERB
ejpam-6660	379	5	several	several	ADJ
ejpam-6660	379	6	directions	direction	NOUN
ejpam-6660	379	7	,	,	PUNCT
ejpam-6660	379	8	including	include	VERB
ejpam-6660	379	9	the	the	DET
ejpam-6660	379	10	development	development	NOUN
ejpam-6660	379	11	of	of	ADP
ejpam-6660	379	12	q	q	NOUN
ejpam-6660	379	13	-	-	PUNCT
ejpam-6660	379	14	analogues	analogue	NOUN
ejpam-6660	379	15	and	and	CCONJ
ejpam-6660	379	16	degenerate	degenerate	ADJ
ejpam-6660	379	17	forms	form	NOUN
ejpam-6660	379	18	of	of	ADP
ejpam-6660	379	19	the	the	DET
ejpam-6660	379	20	proposed	propose	VERB
ejpam-6660	379	21	polynomials	polynomial	NOUN
ejpam-6660	379	22	to	to	PART
ejpam-6660	379	23	study	study	VERB
ejpam-6660	379	24	associated	associate	VERB
ejpam-6660	379	25	q	q	ADJ
ejpam-6660	379	26	-	-	PUNCT
ejpam-6660	379	27	difference	difference	NOUN
ejpam-6660	379	28	equations	equation	NOUN
ejpam-6660	379	29	and	and	CCONJ
ejpam-6660	379	30	limiting	limit	VERB
ejpam-6660	379	31	behaviors	behavior	NOUN
ejpam-6660	379	32	in	in	ADP
ejpam-6660	379	33	[	[	X
ejpam-6660	379	34	22	22	NUM
ejpam-6660	379	35	,	,	PUNCT
ejpam-6660	379	36	23	23	NUM
ejpam-6660	379	37	]	]	PUNCT
ejpam-6660	379	38	.	.	PUNCT
ejpam-6660	380	1	investigating	investigate	VERB
ejpam-6660	380	2	orthogonality	orthogonality	NOUN
ejpam-6660	380	3	conditions	condition	NOUN
ejpam-6660	380	4	and	and	CCONJ
ejpam-6660	380	5	suitable	suitable	ADJ
ejpam-6660	380	6	weight	weight	NOUN
ejpam-6660	380	7	functions	function	NOUN
ejpam-6660	380	8	will	will	AUX
ejpam-6660	380	9	help	help	AUX
ejpam-6660	380	10	identify	identify	VERB
ejpam-6660	380	11	inner	inner	ADJ
ejpam-6660	380	12	product	product	NOUN
ejpam-6660	380	13	spaces	space	NOUN
ejpam-6660	380	14	where	where	SCONJ
ejpam-6660	380	15	these	these	DET
ejpam-6660	380	16	polynomials	polynomial	NOUN
ejpam-6660	380	17	are	be	AUX
ejpam-6660	380	18	orthogonal	orthogonal	ADJ
ejpam-6660	380	19	.	.	PUNCT
ejpam-6660	381	1	their	their	PRON
ejpam-6660	381	2	m.	m.	NOUN
ejpam-6660	381	3	sharma	sharma	PROPN
ejpam-6660	381	4	et	et	PROPN
ejpam-6660	381	5	al	al	PROPN
ejpam-6660	381	6	.	.	PUNCT
ejpam-6660	381	7	/	/	SYM
ejpam-6660	381	8	eur	eur	PROPN
ejpam-6660	381	9	.	.	PUNCT
ejpam-6660	382	1	j.	j.	PROPN
ejpam-6660	382	2	pure	pure	PROPN
ejpam-6660	382	3	appl	appl	PROPN
ejpam-6660	382	4	.	.	PROPN
ejpam-6660	382	5	math	math	PROPN
ejpam-6660	382	6	,	,	PUNCT
ejpam-6660	382	7	18	18	NUM
ejpam-6660	382	8	(	(	PUNCT
ejpam-6660	382	9	3	3	NUM
ejpam-6660	382	10	)	)	PUNCT
ejpam-6660	382	11	(	(	PUNCT
ejpam-6660	382	12	2025	2025	NUM
ejpam-6660	382	13	)	)	PUNCT
ejpam-6660	382	14	,	,	PUNCT
ejpam-6660	382	15	6660	6660	NUM
ejpam-6660	382	16	18	18	NUM
ejpam-6660	382	17	of	of	ADP
ejpam-6660	382	18	19	19	NUM
ejpam-6660	382	19	application	application	NOUN
ejpam-6660	382	20	in	in	ADP
ejpam-6660	382	21	interpolation	interpolation	NOUN
ejpam-6660	382	22	,	,	PUNCT
ejpam-6660	382	23	approximation	approximation	NOUN
ejpam-6660	382	24	theory	theory	NOUN
ejpam-6660	382	25	,	,	PUNCT
ejpam-6660	382	26	and	and	CCONJ
ejpam-6660	382	27	spectral	spectral	ADJ
ejpam-6660	382	28	methods	method	NOUN
ejpam-6660	382	29	also	also	ADV
ejpam-6660	382	30	warrants	warrant	VERB
ejpam-6660	382	31	attention	attention	NOUN
ejpam-6660	382	32	,	,	PUNCT
ejpam-6660	382	33	particularly	particularly	ADV
ejpam-6660	382	34	in	in	ADP
ejpam-6660	382	35	solving	solve	VERB
ejpam-6660	382	36	differential	differential	NOUN
ejpam-6660	382	37	or	or	CCONJ
ejpam-6660	382	38	integral	integral	ADJ
ejpam-6660	382	39	equations	equation	NOUN
ejpam-6660	382	40	.	.	PUNCT
ejpam-6660	383	1	potential	potential	ADJ
ejpam-6660	383	2	uses	use	NOUN
ejpam-6660	383	3	in	in	ADP
ejpam-6660	383	4	mathematical	mathematical	ADJ
ejpam-6660	383	5	physics	physics	NOUN
ejpam-6660	383	6	and	and	CCONJ
ejpam-6660	383	7	engineering	engineering	NOUN
ejpam-6660	383	8	such	such	ADJ
ejpam-6660	383	9	as	as	ADP
ejpam-6660	383	10	quantum	quantum	NOUN
ejpam-6660	383	11	systems	system	NOUN
ejpam-6660	383	12	and	and	CCONJ
ejpam-6660	383	13	signal	signal	VERB
ejpam-6660	383	14	analysis	analysis	NOUN
ejpam-6660	383	15	highlight	highlight	VERB
ejpam-6660	383	16	their	their	PRON
ejpam-6660	383	17	applied	apply	VERB
ejpam-6660	383	18	significance	significance	NOUN
ejpam-6660	383	19	.	.	PUNCT
ejpam-6660	384	1	additionally	additionally	ADV
ejpam-6660	384	2	,	,	PUNCT
ejpam-6660	384	3	a	a	DET
ejpam-6660	384	4	detailed	detailed	ADJ
ejpam-6660	384	5	study	study	NOUN
ejpam-6660	384	6	of	of	ADP
ejpam-6660	384	7	asymptotic	asymptotic	ADJ
ejpam-6660	384	8	properties	property	NOUN
ejpam-6660	384	9	and	and	CCONJ
ejpam-6660	384	10	zero	zero	NUM
ejpam-6660	384	11	distributions	distribution	NOUN
ejpam-6660	384	12	using	use	VERB
ejpam-6660	384	13	analytic	analytic	ADJ
ejpam-6660	384	14	and	and	CCONJ
ejpam-6660	384	15	numerical	numerical	ADJ
ejpam-6660	384	16	tools	tool	NOUN
ejpam-6660	384	17	could	could	AUX
ejpam-6660	384	18	offer	offer	VERB
ejpam-6660	384	19	deeper	deep	ADJ
ejpam-6660	384	20	insights	insight	NOUN
ejpam-6660	384	21	into	into	ADP
ejpam-6660	384	22	their	their	PRON
ejpam-6660	384	23	structural	structural	ADJ
ejpam-6660	384	24	behavior	behavior	NOUN
ejpam-6660	384	25	.	.	PUNCT
ejpam-6660	385	1	availability	availability	NOUN
ejpam-6660	385	2	of	of	ADP
ejpam-6660	385	3	data	datum	NOUN
ejpam-6660	385	4	and	and	CCONJ
ejpam-6660	385	5	materials	material	NOUN
ejpam-6660	385	6	not	not	PART
ejpam-6660	385	7	applicable	applicable	ADJ
ejpam-6660	385	8	.	.	PUNCT
ejpam-6660	386	1	competing	compete	VERB
ejpam-6660	386	2	interests	interest	NOUN
ejpam-6660	386	3	the	the	DET
ejpam-6660	386	4	authors	author	NOUN
ejpam-6660	386	5	declare	declare	VERB
ejpam-6660	386	6	no	no	DET
ejpam-6660	386	7	competing	compete	VERB
ejpam-6660	386	8	interests	interest	NOUN
ejpam-6660	386	9	.	.	PUNCT
ejpam-6660	387	1	references	reference	NOUN
ejpam-6660	387	2	[	[	X
ejpam-6660	387	3	1	1	NUM
ejpam-6660	387	4	]	]	PUNCT
ejpam-6660	387	5	waseem	waseem	PROPN
ejpam-6660	387	6	ahmad	ahmad	PROPN
ejpam-6660	387	7	khan	khan	PROPN
ejpam-6660	387	8	,	,	PUNCT
ejpam-6660	387	9	ugur	ugur	PROPN
ejpam-6660	387	10	duran	duran	PROPN
ejpam-6660	387	11	,	,	PUNCT
ejpam-6660	387	12	jihad	jihad	NOUN
ejpam-6660	387	13	younis	younis	PROPN
ejpam-6660	387	14	,	,	PUNCT
ejpam-6660	387	15	and	and	CCONJ
ejpam-6660	387	16	cheon	cheon	PROPN
ejpam-6660	387	17	seoung	seoung	PROPN
ejpam-6660	387	18	ryoo	ryoo	NOUN
ejpam-6660	387	19	.	.	PUNCT
ejpam-6660	388	1	on	on	ADP
ejpam-6660	388	2	some	some	DET
ejpam-6660	388	3	extensions	extension	NOUN
ejpam-6660	388	4	for	for	ADP
ejpam-6660	388	5	degenerate	degenerate	ADJ
ejpam-6660	388	6	frobenius	frobenius	NOUN
ejpam-6660	388	7	-	-	PUNCT
ejpam-6660	388	8	euler	euler	NOUN
ejpam-6660	388	9	-	-	PUNCT
ejpam-6660	388	10	genocchi	genocchi	PROPN
ejpam-6660	388	11	polynomials	polynomial	VERB
ejpam-6660	388	12	with	with	ADP
ejpam-6660	388	13	applications	application	NOUN
ejpam-6660	388	14	in	in	ADP
ejpam-6660	388	15	computer	computer	NOUN
ejpam-6660	388	16	modeling	modeling	NOUN
ejpam-6660	388	17	.	.	PUNCT
ejpam-6660	389	1	applied	apply	VERB
ejpam-6660	389	2	mathematics	mathematic	NOUN
ejpam-6660	389	3	in	in	ADP
ejpam-6660	389	4	science	science	NOUN
ejpam-6660	389	5	and	and	CCONJ
ejpam-6660	389	6	engineering	engineering	NOUN
ejpam-6660	389	7	,	,	PUNCT
ejpam-6660	389	8	32(1):2297072	32(1):2297072	NUM
ejpam-6660	389	9	,	,	PUNCT
ejpam-6660	389	10	2024	2024	NUM
ejpam-6660	389	11	.	.	PUNCT
ejpam-6660	390	1	[	[	X
ejpam-6660	390	2	2	2	X
ejpam-6660	390	3	]	]	PUNCT
ejpam-6660	390	4	hiba	hiba	PROPN
ejpam-6660	390	5	haroon	haroon	PROPN
ejpam-6660	390	6	and	and	CCONJ
ejpam-6660	390	7	waseem	waseem	PROPN
ejpam-6660	390	8	ahmad	ahmad	PROPN
ejpam-6660	390	9	khan	khan	PROPN
ejpam-6660	390	10	.	.	PUNCT
ejpam-6660	390	11	degenerate	degenerate	ADJ
ejpam-6660	390	12	bernoulli	bernoulli	NOUN
ejpam-6660	390	13	numbers	number	NOUN
ejpam-6660	390	14	and	and	CCONJ
ejpam-6660	390	15	polynomials	polynomial	NOUN
ejpam-6660	390	16	associated	associate	VERB
ejpam-6660	390	17	with	with	ADP
ejpam-6660	390	18	degenerate	degenerate	ADJ
ejpam-6660	390	19	hermite	hermite	ADJ
ejpam-6660	390	20	polynomials	polynomial	NOUN
ejpam-6660	390	21	.	.	PUNCT
ejpam-6660	391	1	communications	communication	NOUN
ejpam-6660	391	2	of	of	ADP
ejpam-6660	391	3	the	the	DET
ejpam-6660	391	4	korean	korean	ADJ
ejpam-6660	391	5	mathematical	mathematical	ADJ
ejpam-6660	391	6	society	society	NOUN
ejpam-6660	391	7	,	,	PUNCT
ejpam-6660	391	8	33(2):651–669	33(2):651–669	PROPN
ejpam-6660	391	9	,	,	PUNCT
ejpam-6660	391	10	2018	2018	NUM
ejpam-6660	391	11	.	.	PUNCT
ejpam-6660	392	1	[	[	X
ejpam-6660	392	2	3	3	NUM
ejpam-6660	392	3	]	]	X
ejpam-6660	392	4	waseem	waseem	PROPN
ejpam-6660	392	5	ahmad	ahmad	PROPN
ejpam-6660	392	6	khan	khan	PROPN
ejpam-6660	392	7	,	,	PUNCT
ejpam-6660	392	8	mehmet	mehmet	PROPN
ejpam-6660	392	9	acikgoz	acikgoz	PROPN
ejpam-6660	392	10	,	,	PUNCT
ejpam-6660	392	11	and	and	CCONJ
ejpam-6660	392	12	ugur	ugur	PROPN
ejpam-6660	392	13	duran	duran	PROPN
ejpam-6660	392	14	.	.	PUNCT
ejpam-6660	393	1	note	note	VERB
ejpam-6660	393	2	on	on	ADP
ejpam-6660	393	3	the	the	DET
ejpam-6660	393	4	type	type	NOUN
ejpam-6660	393	5	2	2	NUM
ejpam-6660	393	6	degenerate	degenerate	ADJ
ejpam-6660	393	7	multi	multi	ADJ
ejpam-6660	393	8	-	-	ADJ
ejpam-6660	393	9	poly	poly	ADJ
ejpam-6660	393	10	-	-	PUNCT
ejpam-6660	393	11	euler	euler	NOUN
ejpam-6660	393	12	polynomials	polynomial	NOUN
ejpam-6660	393	13	.	.	PUNCT
ejpam-6660	394	1	symmetry	symmetry	NOUN
ejpam-6660	394	2	,	,	PUNCT
ejpam-6660	394	3	12(10):1691	12(10):1691	NUM
ejpam-6660	394	4	,	,	PUNCT
ejpam-6660	394	5	2020	2020	NUM
ejpam-6660	394	6	.	.	PUNCT
ejpam-6660	395	1	[	[	X
ejpam-6660	395	2	4	4	NUM
ejpam-6660	395	3	]	]	X
ejpam-6660	395	4	noor	noor	PROPN
ejpam-6660	395	5	alam	alam	PROPN
ejpam-6660	395	6	,	,	PUNCT
ejpam-6660	395	7	waseem	waseem	PROPN
ejpam-6660	395	8	ahmad	ahmad	PROPN
ejpam-6660	395	9	khan	khan	PROPN
ejpam-6660	395	10	,	,	PUNCT
ejpam-6660	395	11	and	and	CCONJ
ejpam-6660	395	12	cheon	cheon	PROPN
ejpam-6660	395	13	seoung	seoung	PROPN
ejpam-6660	395	14	ryoo	ryoo	NOUN
ejpam-6660	395	15	.	.	PUNCT
ejpam-6660	396	1	a	a	DET
ejpam-6660	396	2	note	note	NOUN
ejpam-6660	396	3	on	on	ADP
ejpam-6660	396	4	bell	bell	NOUN
ejpam-6660	396	5	-	-	PUNCT
ejpam-6660	396	6	based	base	VERB
ejpam-6660	396	7	apostoltype	apostoltype	ADJ
ejpam-6660	396	8	frobenius	frobenius	NOUN
ejpam-6660	396	9	-	-	PUNCT
ejpam-6660	396	10	euler	euler	NOUN
ejpam-6660	396	11	polynomials	polynomial	NOUN
ejpam-6660	396	12	of	of	ADP
ejpam-6660	396	13	complex	complex	ADJ
ejpam-6660	396	14	variable	variable	NOUN
ejpam-6660	396	15	with	with	ADP
ejpam-6660	396	16	its	its	PRON
ejpam-6660	396	17	certain	certain	ADJ
ejpam-6660	396	18	applications	application	NOUN
ejpam-6660	396	19	.	.	PUNCT
ejpam-6660	397	1	mathematics	mathematic	NOUN
ejpam-6660	397	2	,	,	PUNCT
ejpam-6660	397	3	10(12):2109	10(12):2109	NUM
ejpam-6660	397	4	,	,	PUNCT
ejpam-6660	397	5	2022	2022	NUM
ejpam-6660	397	6	.	.	PUNCT
ejpam-6660	398	1	[	[	X
ejpam-6660	398	2	5	5	NUM
ejpam-6660	398	3	]	]	X
ejpam-6660	398	4	wa	wa	PROPN
ejpam-6660	398	5	khan	khan	PROPN
ejpam-6660	398	6	.	.	PUNCT
ejpam-6660	399	1	a	a	DET
ejpam-6660	399	2	new	new	ADJ
ejpam-6660	399	3	class	class	NOUN
ejpam-6660	399	4	of	of	ADP
ejpam-6660	399	5	degenerate	degenerate	ADJ
ejpam-6660	399	6	frobenius	frobenius	NOUN
ejpam-6660	399	7	-	-	PUNCT
ejpam-6660	399	8	euler	euler	NOUN
ejpam-6660	399	9	-	-	PUNCT
ejpam-6660	399	10	hermite	hermite	ADJ
ejpam-6660	399	11	polynomials	polynomial	NOUN
ejpam-6660	399	12	.	.	PUNCT
ejpam-6660	400	1	adv	adv	PROPN
ejpam-6660	400	2	.	.	PUNCT
ejpam-6660	400	3	stud	stud	PROPN
ejpam-6660	400	4	.	.	PUNCT
ejpam-6660	401	1	contemp	contemp	NOUN
ejpam-6660	401	2	.	.	PUNCT
ejpam-6660	402	1	math.(kyungshang	math.(kyungshang	X
ejpam-6660	402	2	)	)	PUNCT
ejpam-6660	402	3	,	,	PUNCT
ejpam-6660	403	1	28(4):567–576	28(4):567–576	NUM
ejpam-6660	403	2	,	,	PUNCT
ejpam-6660	403	3	2018	2018	NUM
ejpam-6660	403	4	.	.	PUNCT
ejpam-6660	404	1	[	[	X
ejpam-6660	404	2	6	6	NUM
ejpam-6660	404	3	]	]	X
ejpam-6660	404	4	hm	hm	X
ejpam-6660	404	5	srivastava	srivastava	PROPN
ejpam-6660	404	6	,	,	PUNCT
ejpam-6660	404	7	ma	ma	PROPN
ejpam-6660	404	8	boutiche	boutiche	NOUN
ejpam-6660	404	9	,	,	PUNCT
ejpam-6660	404	10	and	and	CCONJ
ejpam-6660	404	11	m	m	PROPN
ejpam-6660	404	12	rahmani	rahmani	ADJ
ejpam-6660	404	13	.	.	PUNCT
ejpam-6660	405	1	a	a	DET
ejpam-6660	405	2	class	class	NOUN
ejpam-6660	405	3	of	of	ADP
ejpam-6660	405	4	frobenius	frobenius	NOUN
ejpam-6660	405	5	-	-	PUNCT
ejpam-6660	405	6	type	type	NOUN
ejpam-6660	405	7	eulerian	eulerian	ADJ
ejpam-6660	405	8	polynomials	polynomial	NOUN
ejpam-6660	405	9	.	.	PUNCT
ejpam-6660	405	10	2018	2018	NUM
ejpam-6660	405	11	.	.	PUNCT
ejpam-6660	406	1	[	[	X
ejpam-6660	406	2	7	7	NUM
ejpam-6660	406	3	]	]	X
ejpam-6660	406	4	waseem	waseem	PROPN
ejpam-6660	406	5	a	a	DET
ejpam-6660	406	6	khan	khan	PROPN
ejpam-6660	406	7	,	,	PUNCT
ejpam-6660	406	8	mohammad	mohammad	PROPN
ejpam-6660	406	9	kamarujjama	kamarujjama	PROPN
ejpam-6660	406	10	,	,	PUNCT
ejpam-6660	406	11	and	and	CCONJ
ejpam-6660	406	12	daud	daud	PROPN
ejpam-6660	406	13	.	.	PUNCT
ejpam-6660	407	1	construction	construction	NOUN
ejpam-6660	407	2	of	of	ADP
ejpam-6660	407	3	partially	partially	ADV
ejpam-6660	407	4	degenerate	degenerate	ADJ
ejpam-6660	407	5	bell	bell	NOUN
ejpam-6660	407	6	–	–	PUNCT
ejpam-6660	407	7	bernoulli	bernoulli	NOUN
ejpam-6660	407	8	polynomials	polynomial	NOUN
ejpam-6660	407	9	of	of	ADP
ejpam-6660	407	10	the	the	DET
ejpam-6660	407	11	first	first	ADJ
ejpam-6660	407	12	kind	kind	NOUN
ejpam-6660	407	13	and	and	CCONJ
ejpam-6660	407	14	their	their	PRON
ejpam-6660	407	15	certain	certain	ADJ
ejpam-6660	407	16	properties	property	NOUN
ejpam-6660	407	17	.	.	PUNCT
ejpam-6660	408	1	analysis	analysis	NOUN
ejpam-6660	408	2	,	,	PUNCT
ejpam-6660	408	3	42(3):171–184	42(3):171–184	NOUN
ejpam-6660	408	4	,	,	PUNCT
ejpam-6660	408	5	2022	2022	NUM
ejpam-6660	408	6	.	.	PUNCT
ejpam-6660	409	1	[	[	X
ejpam-6660	409	2	8	8	NUM
ejpam-6660	409	3	]	]	SYM
ejpam-6660	409	4	ugur	ugur	PROPN
ejpam-6660	409	5	duran	duran	PROPN
ejpam-6660	409	6	,	,	PUNCT
ejpam-6660	409	7	serkan	serkan	ADJ
ejpam-6660	409	8	araci	araci	NOUN
ejpam-6660	409	9	,	,	PUNCT
ejpam-6660	409	10	and	and	CCONJ
ejpam-6660	409	11	mehmet	mehmet	PROPN
ejpam-6660	409	12	acikgoz	acikgoz	PROPN
ejpam-6660	409	13	.	.	PUNCT
ejpam-6660	410	1	bell	bell	NOUN
ejpam-6660	410	2	-	-	PUNCT
ejpam-6660	410	3	based	base	VERB
ejpam-6660	410	4	bernoulli	bernoulli	NOUN
ejpam-6660	410	5	polynomials	polynomial	NOUN
ejpam-6660	410	6	with	with	ADP
ejpam-6660	410	7	applications	application	NOUN
ejpam-6660	410	8	.	.	PUNCT
ejpam-6660	411	1	axioms	axiom	NOUN
ejpam-6660	411	2	,	,	PUNCT
ejpam-6660	411	3	10(1):29	10(1):29	NUM
ejpam-6660	411	4	,	,	PUNCT
ejpam-6660	411	5	2021	2021	NUM
ejpam-6660	411	6	.	.	PUNCT
ejpam-6660	412	1	[	[	X
ejpam-6660	412	2	9	9	NUM
ejpam-6660	412	3	]	]	PUNCT
ejpam-6660	412	4	a	a	DET
ejpam-6660	412	5	al	al	PROPN
ejpam-6660	412	6	e’damat	e’damat	PROPN
ejpam-6660	412	7	,	,	PUNCT
ejpam-6660	412	8	wa	wa	PROPN
ejpam-6660	412	9	khan	khan	PROPN
ejpam-6660	412	10	,	,	PUNCT
ejpam-6660	412	11	and	and	CCONJ
ejpam-6660	412	12	cs	cs	ADJ
ejpam-6660	412	13	ryoo	ryoo	NOUN
ejpam-6660	412	14	.	.	PUNCT
ejpam-6660	413	1	certain	certain	ADJ
ejpam-6660	413	2	properties	property	NOUN
ejpam-6660	413	3	on	on	ADP
ejpam-6660	413	4	bell	bell	NOUN
ejpam-6660	413	5	based	base	VERB
ejpam-6660	413	6	apostol	apostol	NOUN
ejpam-6660	413	7	-	-	PUNCT
ejpam-6660	413	8	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-6660	413	9	polynomials	polynomial	NOUN
ejpam-6660	413	10	of	of	ADP
ejpam-6660	413	11	complex	complex	ADJ
ejpam-6660	413	12	variables	variable	NOUN
ejpam-6660	413	13	.	.	PUNCT
ejpam-6660	414	1	journal	journal	NOUN
ejpam-6660	414	2	of	of	ADP
ejpam-6660	414	3	mathematics	mathematic	NOUN
ejpam-6660	414	4	and	and	CCONJ
ejpam-6660	414	5	computer	computer	NOUN
ejpam-6660	414	6	science	science	NOUN
ejpam-6660	414	7	,	,	PUNCT
ejpam-6660	414	8	33(3):326–338	33(3):326–338	NOUN
ejpam-6660	414	9	,	,	PUNCT
ejpam-6660	414	10	2024	2024	NUM
ejpam-6660	414	11	.	.	PUNCT
ejpam-6660	415	1	[	[	X
ejpam-6660	415	2	10	10	NUM
ejpam-6660	415	3	]	]	X
ejpam-6660	415	4	waseem	waseem	PROPN
ejpam-6660	415	5	a	a	DET
ejpam-6660	415	6	khan	khan	PROPN
ejpam-6660	415	7	and	and	CCONJ
ejpam-6660	415	8	moin	moin	PROPN
ejpam-6660	415	9	ahmad	ahmad	PROPN
ejpam-6660	415	10	.	.	PUNCT
ejpam-6660	416	1	partially	partially	ADV
ejpam-6660	416	2	degenerate	degenerate	ADJ
ejpam-6660	416	3	poly	poly	ADJ
ejpam-6660	416	4	-	-	PUNCT
ejpam-6660	416	5	bernoulli	bernoulli	NOUN
ejpam-6660	416	6	polynomials	polynomial	NOUN
ejpam-6660	416	7	associated	associate	VERB
ejpam-6660	416	8	with	with	ADP
ejpam-6660	416	9	hermite	hermite	ADJ
ejpam-6660	416	10	polynomials	polynomial	NOUN
ejpam-6660	416	11	.	.	PUNCT
ejpam-6660	417	1	advanced	advanced	ADJ
ejpam-6660	417	2	studies	study	NOUN
ejpam-6660	417	3	in	in	ADP
ejpam-6660	417	4	contemporary	contemporary	ADJ
ejpam-6660	417	5	mathematics	mathematic	NOUN
ejpam-6660	417	6	,	,	PUNCT
ejpam-6660	417	7	28(3):487–496	28(3):487–496	NUM
ejpam-6660	417	8	,	,	PUNCT
ejpam-6660	417	9	2018	2018	NUM
ejpam-6660	417	10	.	.	PUNCT
ejpam-6660	418	1	[	[	X
ejpam-6660	418	2	11	11	NUM
ejpam-6660	418	3	]	]	PUNCT
ejpam-6660	418	4	waseem	waseem	PROPN
ejpam-6660	418	5	a	a	DET
ejpam-6660	418	6	khan	khan	PROPN
ejpam-6660	418	7	and	and	CCONJ
ejpam-6660	418	8	ma	ma	PROPN
ejpam-6660	418	9	pathan	pathan	PROPN
ejpam-6660	418	10	.	.	PUNCT
ejpam-6660	419	1	on	on	ADP
ejpam-6660	419	2	generalized	generalized	ADJ
ejpam-6660	419	3	lagrange	lagrange	NOUN
ejpam-6660	419	4	–	–	PUNCT
ejpam-6660	419	5	hermite	hermite	ADJ
ejpam-6660	419	6	–	–	PUNCT
ejpam-6660	419	7	bernoulli	bernoulli	NOUN
ejpam-6660	419	8	and	and	CCONJ
ejpam-6660	419	9	related	related	ADJ
ejpam-6660	419	10	polynomials	polynomial	NOUN
ejpam-6660	419	11	.	.	PUNCT
ejpam-6660	420	1	acta	acta	PROPN
ejpam-6660	420	2	et	et	PROPN
ejpam-6660	420	3	commentationes	commentatione	VERB
ejpam-6660	420	4	universitatis	universitatis	PROPN
ejpam-6660	420	5	tartuensis	tartuensis	PROPN
ejpam-6660	420	6	de	de	X
ejpam-6660	420	7	mathematica	mathematica	PROPN
ejpam-6660	420	8	,	,	PUNCT
ejpam-6660	420	9	23(2):211	23(2):211	NUM
ejpam-6660	420	10	–	–	PUNCT
ejpam-6660	420	11	224	224	NUM
ejpam-6660	420	12	,	,	PUNCT
ejpam-6660	420	13	2019	2019	NUM
ejpam-6660	420	14	.	.	PUNCT
ejpam-6660	421	1	[	[	X
ejpam-6660	421	2	12	12	NUM
ejpam-6660	421	3	]	]	PUNCT
ejpam-6660	421	4	waseem	waseem	PROPN
ejpam-6660	421	5	ahmad	ahmad	PROPN
ejpam-6660	421	6	khan	khan	PROPN
ejpam-6660	421	7	and	and	CCONJ
ejpam-6660	421	8	maryam	maryam	PROPN
ejpam-6660	421	9	salem	salem	PROPN
ejpam-6660	421	10	alatawi	alatawi	VERB
ejpam-6660	421	11	.	.	PUNCT
ejpam-6660	422	1	a	a	DET
ejpam-6660	422	2	note	note	NOUN
ejpam-6660	422	3	on	on	ADP
ejpam-6660	422	4	modified	modified	ADJ
ejpam-6660	422	5	degenerate	degenerate	ADJ
ejpam-6660	422	6	changhee	changhee	NOUN
ejpam-6660	422	7	–	–	PUNCT
ejpam-6660	422	8	genocchi	genocchi	PROPN
ejpam-6660	422	9	polynomials	polynomial	NOUN
ejpam-6660	422	10	of	of	ADP
ejpam-6660	422	11	the	the	DET
ejpam-6660	422	12	second	second	ADJ
ejpam-6660	422	13	kind	kind	NOUN
ejpam-6660	422	14	.	.	PUNCT
ejpam-6660	423	1	symmetry	symmetry	NOUN
ejpam-6660	423	2	,	,	PUNCT
ejpam-6660	423	3	15(1):136	15(1):136	NOUN
ejpam-6660	423	4	,	,	PUNCT
ejpam-6660	423	5	2023	2023	NUM
ejpam-6660	423	6	.	.	PUNCT
ejpam-6660	424	1	[	[	X
ejpam-6660	424	2	13	13	NUM
ejpam-6660	424	3	]	]	PUNCT
ejpam-6660	424	4	waseem	waseem	PROPN
ejpam-6660	424	5	a	a	DET
ejpam-6660	424	6	khan	khan	PROPN
ejpam-6660	424	7	.	.	PUNCT
ejpam-6660	425	1	on	on	ADP
ejpam-6660	425	2	generalized	generalized	ADJ
ejpam-6660	425	3	lagrange	lagrange	NOUN
ejpam-6660	425	4	-	-	PUNCT
ejpam-6660	425	5	based	base	VERB
ejpam-6660	425	6	apostol	apostol	NOUN
ejpam-6660	425	7	type	type	NOUN
ejpam-6660	425	8	and	and	CCONJ
ejpam-6660	425	9	related	related	ADJ
ejpam-6660	425	10	polynomials	polynomial	NOUN
ejpam-6660	425	11	.	.	PUNCT
ejpam-6660	426	1	kragujevac	kragujevac	PROPN
ejpam-6660	426	2	j.	j.	PROPN
ejpam-6660	426	3	math	math	PROPN
ejpam-6660	426	4	,	,	PUNCT
ejpam-6660	426	5	46(6):865–882	46(6):865–882	PROPN
ejpam-6660	426	6	,	,	PUNCT
ejpam-6660	426	7	2022	2022	NUM
ejpam-6660	426	8	.	.	PUNCT
ejpam-6660	427	1	[	[	X
ejpam-6660	427	2	14	14	NUM
ejpam-6660	427	3	]	]	PUNCT
ejpam-6660	427	4	waseem	waseem	PROPN
ejpam-6660	427	5	ahmad	ahmad	PROPN
ejpam-6660	427	6	khan	khan	PROPN
ejpam-6660	427	7	,	,	PUNCT
ejpam-6660	427	8	kottakkaran	kottakkaran	VERB
ejpam-6660	427	9	sooppy	sooppy	ADJ
ejpam-6660	427	10	nisar	nisar	PROPN
ejpam-6660	427	11	,	,	PUNCT
ejpam-6660	427	12	mehmet	mehmet	PROPN
ejpam-6660	427	13	açıkgöz	açıkgöz	PROPN
ejpam-6660	427	14	,	,	PUNCT
ejpam-6660	427	15	uğur	uğur	NUM
ejpam-6660	427	16	duran	duran	NOUN
ejpam-6660	427	17	,	,	PUNCT
ejpam-6660	427	18	and	and	CCONJ
ejpam-6660	427	19	abdallah	abdallah	PROPN
ejpam-6660	427	20	hassan	hassan	PROPN
ejpam-6660	427	21	abusufian	abusufian	PROPN
ejpam-6660	427	22	.	.	PUNCT
ejpam-6660	428	1	on	on	ADP
ejpam-6660	428	2	unified	unified	ADJ
ejpam-6660	428	3	gould	gould	PROPN
ejpam-6660	428	4	-	-	PUNCT
ejpam-6660	428	5	hopper	hopper	NOUN
ejpam-6660	428	6	based	base	VERB
ejpam-6660	428	7	apostol	apostol	NOUN
ejpam-6660	428	8	-	-	PUNCT
ejpam-6660	428	9	type	type	NOUN
ejpam-6660	428	10	polynomials	polynomial	NOUN
ejpam-6660	428	11	.	.	PUNCT
ejpam-6660	429	1	2022	2022	NUM
ejpam-6660	429	2	.	.	PUNCT
ejpam-6660	430	1	m.	m.	PROPN
ejpam-6660	430	2	sharma	sharma	PROPN
ejpam-6660	430	3	et	et	PROPN
ejpam-6660	430	4	al	al	PROPN
ejpam-6660	430	5	.	.	PUNCT
ejpam-6660	430	6	/	/	SYM
ejpam-6660	430	7	eur	eur	PROPN
ejpam-6660	430	8	.	.	PUNCT
ejpam-6660	431	1	j.	j.	PROPN
ejpam-6660	431	2	pure	pure	PROPN
ejpam-6660	431	3	appl	appl	PROPN
ejpam-6660	431	4	.	.	PROPN
ejpam-6660	431	5	math	math	PROPN
ejpam-6660	431	6	,	,	PUNCT
ejpam-6660	431	7	18	18	NUM
ejpam-6660	431	8	(	(	PUNCT
ejpam-6660	431	9	3	3	NUM
ejpam-6660	431	10	)	)	PUNCT
ejpam-6660	431	11	(	(	PUNCT
ejpam-6660	431	12	2025	2025	NUM
ejpam-6660	431	13	)	)	PUNCT
ejpam-6660	431	14	,	,	PUNCT
ejpam-6660	431	15	6660	6660	NUM
ejpam-6660	431	16	19	19	NUM
ejpam-6660	431	17	of	of	ADP
ejpam-6660	431	18	19	19	NUM
ejpam-6660	431	19	[	[	SYM
ejpam-6660	431	20	15	15	NUM
ejpam-6660	431	21	]	]	X
ejpam-6660	431	22	waseem	waseem	PROPN
ejpam-6660	431	23	ahmad	ahmad	PROPN
ejpam-6660	431	24	khan	khan	PROPN
ejpam-6660	431	25	,	,	PUNCT
ejpam-6660	431	26	maryam	maryam	PROPN
ejpam-6660	431	27	salem	salem	PROPN
ejpam-6660	431	28	alatawi	alatawi	VERB
ejpam-6660	431	29	,	,	PUNCT
ejpam-6660	431	30	and	and	CCONJ
ejpam-6660	431	31	ugur	ugur	PROPN
ejpam-6660	431	32	duran	duran	PROPN
ejpam-6660	431	33	.	.	PUNCT
ejpam-6660	432	1	applications	application	NOUN
ejpam-6660	432	2	and	and	CCONJ
ejpam-6660	432	3	properties	property	NOUN
ejpam-6660	432	4	for	for	ADP
ejpam-6660	432	5	bivariate	bivariate	ADJ
ejpam-6660	432	6	bell	bell	NOUN
ejpam-6660	432	7	-	-	PUNCT
ejpam-6660	432	8	based	base	VERB
ejpam-6660	432	9	frobenius	frobenius	NOUN
ejpam-6660	432	10	-	-	PUNCT
ejpam-6660	432	11	type	type	NOUN
ejpam-6660	432	12	eulerian	eulerian	ADJ
ejpam-6660	432	13	polynomials	polynomial	NOUN
ejpam-6660	432	14	.	.	PUNCT
ejpam-6660	433	1	journal	journal	NOUN
ejpam-6660	433	2	of	of	ADP
ejpam-6660	433	3	function	function	NOUN
ejpam-6660	433	4	spaces	space	NOUN
ejpam-6660	433	5	,	,	PUNCT
ejpam-6660	433	6	2023(1):5205867	2023(1):5205867	NUM
ejpam-6660	433	7	,	,	PUNCT
ejpam-6660	433	8	2023	2023	NUM
ejpam-6660	433	9	.	.	PUNCT
ejpam-6660	434	1	[	[	X
ejpam-6660	434	2	16	16	NUM
ejpam-6660	434	3	]	]	PUNCT
ejpam-6660	434	4	waseem	waseem	PROPN
ejpam-6660	434	5	ahmad	ahmad	PROPN
ejpam-6660	434	6	khan	khan	PROPN
ejpam-6660	434	7	and	and	CCONJ
ejpam-6660	434	8	maryam	maryam	PROPN
ejpam-6660	434	9	salem	salem	PROPN
ejpam-6660	434	10	alatawi	alatawi	VERB
ejpam-6660	434	11	.	.	PUNCT
ejpam-6660	435	1	analytical	analytical	ADJ
ejpam-6660	435	2	properties	property	NOUN
ejpam-6660	435	3	of	of	ADP
ejpam-6660	435	4	degenerate	degenerate	ADJ
ejpam-6660	435	5	genocchi	genocchi	NOUN
ejpam-6660	435	6	polynomials	polynomial	NOUN
ejpam-6660	435	7	of	of	ADP
ejpam-6660	435	8	the	the	DET
ejpam-6660	435	9	second	second	ADJ
ejpam-6660	435	10	kind	kind	NOUN
ejpam-6660	435	11	and	and	CCONJ
ejpam-6660	435	12	some	some	PRON
ejpam-6660	435	13	of	of	ADP
ejpam-6660	435	14	their	their	PRON
ejpam-6660	435	15	applications	application	NOUN
ejpam-6660	435	16	.	.	PUNCT
ejpam-6660	436	1	symmetry	symmetry	NOUN
ejpam-6660	436	2	,	,	PUNCT
ejpam-6660	436	3	14(8):1500	14(8):1500	NUM
ejpam-6660	436	4	,	,	PUNCT
ejpam-6660	436	5	2022	2022	NUM
ejpam-6660	436	6	.	.	PUNCT
ejpam-6660	437	1	[	[	X
ejpam-6660	437	2	17	17	NUM
ejpam-6660	437	3	]	]	X
ejpam-6660	437	4	m	m	VERB
ejpam-6660	437	5	nadeem	nadeem	ADJ
ejpam-6660	437	6	,	,	PUNCT
ejpam-6660	437	7	wa	wa	PROPN
ejpam-6660	437	8	khan	khan	PROPN
ejpam-6660	437	9	,	,	PUNCT
ejpam-6660	437	10	kah	kah	PROPN
ejpam-6660	437	11	alzobydi	alzobydi	PROPN
ejpam-6660	437	12	,	,	PUNCT
ejpam-6660	437	13	cs	cs	ADJ
ejpam-6660	437	14	ryoo	ryoo	NOUN
ejpam-6660	437	15	,	,	PUNCT
ejpam-6660	437	16	m	m	VERB
ejpam-6660	437	17	shadab	shadab	ADJ
ejpam-6660	437	18	,	,	PUNCT
ejpam-6660	437	19	r	r	NOUN
ejpam-6660	437	20	ali	ali	PROPN
ejpam-6660	437	21	,	,	PUNCT
ejpam-6660	437	22	and	and	CCONJ
ejpam-6660	437	23	saudi	saudi	PROPN
ejpam-6660	437	24	arabia	arabia	PROPN
ejpam-6660	437	25	.	.	PUNCT
ejpam-6660	438	1	certain	certain	ADJ
ejpam-6660	438	2	properties	property	NOUN
ejpam-6660	438	3	on	on	ADP
ejpam-6660	438	4	bell	bell	NOUN
ejpam-6660	438	5	-	-	PUNCT
ejpam-6660	438	6	based	base	VERB
ejpam-6660	438	7	apostol	apostol	NOUN
ejpam-6660	438	8	-	-	PUNCT
ejpam-6660	438	9	type	type	NOUN
ejpam-6660	438	10	frobenius	frobenius	NOUN
ejpam-6660	438	11	-	-	PUNCT
ejpam-6660	438	12	genocchi	genocchi	NOUN
ejpam-6660	438	13	polynomials	polynomial	NOUN
ejpam-6660	438	14	and	and	CCONJ
ejpam-6660	438	15	its	its	PRON
ejpam-6660	438	16	applications	application	NOUN
ejpam-6660	438	17	.	.	PUNCT
ejpam-6660	439	1	adv	adv	PROPN
ejpam-6660	439	2	.	.	PUNCT
ejpam-6660	439	3	math	math	PROPN
ejpam-6660	439	4	.	.	PUNCT
ejpam-6660	440	1	models	model	NOUN
ejpam-6660	440	2	appl	appl	PROPN
ejpam-6660	440	3	,	,	PUNCT
ejpam-6660	440	4	1(8):92–107	1(8):92–107	NUM
ejpam-6660	440	5	,	,	PUNCT
ejpam-6660	440	6	2023	2023	NUM
ejpam-6660	440	7	.	.	PUNCT
ejpam-6660	441	1	[	[	X
ejpam-6660	441	2	18	18	NUM
ejpam-6660	441	3	]	]	X
ejpam-6660	441	4	noor	noor	PROPN
ejpam-6660	441	5	alam	alam	PROPN
ejpam-6660	441	6	,	,	PUNCT
ejpam-6660	441	7	shahid	shahid	PROPN
ejpam-6660	441	8	ahmad	ahmad	PROPN
ejpam-6660	441	9	wani	wani	PROPN
ejpam-6660	441	10	,	,	PUNCT
ejpam-6660	441	11	waseem	waseem	PROPN
ejpam-6660	441	12	ahmad	ahmad	PROPN
ejpam-6660	441	13	khan	khan	PROPN
ejpam-6660	441	14	,	,	PUNCT
ejpam-6660	441	15	and	and	CCONJ
ejpam-6660	441	16	hasan	hasan	PROPN
ejpam-6660	441	17	nihal	nihal	PROPN
ejpam-6660	441	18	zaidi	zaidi	PROPN
ejpam-6660	441	19	.	.	PUNCT
ejpam-6660	442	1	investigating	investigate	VERB
ejpam-6660	442	2	the	the	DET
ejpam-6660	442	3	properties	property	NOUN
ejpam-6660	442	4	and	and	CCONJ
ejpam-6660	442	5	dynamic	dynamic	ADJ
ejpam-6660	442	6	applications	application	NOUN
ejpam-6660	442	7	of	of	ADP
ejpam-6660	442	8	δ	δ	PROPN
ejpam-6660	442	9	h	h	PROPN
ejpam-6660	442	10	legendre	legendre	PROPN
ejpam-6660	442	11	–	–	PUNCT
ejpam-6660	442	12	appell	appell	NOUN
ejpam-6660	442	13	polynomials	polynomial	NOUN
ejpam-6660	442	14	.	.	PUNCT
ejpam-6660	443	1	mathematics	mathematic	NOUN
ejpam-6660	443	2	,	,	PUNCT
ejpam-6660	443	3	12(13):1973	12(13):1973	NUM
ejpam-6660	443	4	,	,	PUNCT
ejpam-6660	443	5	2024	2024	NUM
ejpam-6660	443	6	.	.	PUNCT
ejpam-6660	444	1	[	[	X
ejpam-6660	444	2	19	19	NUM
ejpam-6660	444	3	]	]	X
ejpam-6660	444	4	noor	noor	PROPN
ejpam-6660	444	5	alam	alam	PROPN
ejpam-6660	444	6	,	,	PUNCT
ejpam-6660	444	7	shahid	shahid	PROPN
ejpam-6660	444	8	ahmad	ahmad	PROPN
ejpam-6660	444	9	wani	wani	PROPN
ejpam-6660	444	10	,	,	PUNCT
ejpam-6660	444	11	waseem	waseem	PROPN
ejpam-6660	444	12	ahmad	ahmad	PROPN
ejpam-6660	444	13	khan	khan	PROPN
ejpam-6660	444	14	,	,	PUNCT
ejpam-6660	444	15	fakhredine	fakhredine	PROPN
ejpam-6660	444	16	gassem	gassem	NOUN
ejpam-6660	444	17	,	,	PUNCT
ejpam-6660	444	18	and	and	CCONJ
ejpam-6660	444	19	anas	anas	PROPN
ejpam-6660	444	20	altaleb	altaleb	PROPN
ejpam-6660	444	21	.	.	PUNCT
ejpam-6660	445	1	exploring	explore	VERB
ejpam-6660	445	2	properties	property	NOUN
ejpam-6660	445	3	and	and	CCONJ
ejpam-6660	445	4	applications	application	NOUN
ejpam-6660	445	5	of	of	ADP
ejpam-6660	445	6	laguerre	laguerre	NOUN
ejpam-6660	445	7	special	special	ADJ
ejpam-6660	445	8	polynomials	polynomial	NOUN
ejpam-6660	445	9	involving	involve	VERB
ejpam-6660	445	10	the	the	DET
ejpam-6660	445	11	δ	δ	PROPN
ejpam-6660	445	12	h	h	NOUN
ejpam-6660	445	13	form	form	NOUN
ejpam-6660	445	14	.	.	PUNCT
ejpam-6660	446	1	symmetry	symmetry	NOUN
ejpam-6660	446	2	,	,	PUNCT
ejpam-6660	446	3	16(9):1154	16(9):1154	NUM
ejpam-6660	446	4	,	,	PUNCT
ejpam-6660	446	5	2024	2024	NUM
ejpam-6660	446	6	.	.	PUNCT
ejpam-6660	447	1	[	[	X
ejpam-6660	447	2	20	20	NUM
ejpam-6660	447	3	]	]	PUNCT
ejpam-6660	447	4	ayed	aye	VERB
ejpam-6660	447	5	al	al	PROPN
ejpam-6660	447	6	e’damat	e’damat	PROPN
ejpam-6660	447	7	,	,	PUNCT
ejpam-6660	447	8	waseem	waseem	PROPN
ejpam-6660	447	9	ahmad	ahmad	PROPN
ejpam-6660	447	10	khan	khan	PROPN
ejpam-6660	447	11	,	,	PUNCT
ejpam-6660	447	12	and	and	CCONJ
ejpam-6660	447	13	naeem	naeem	PROPN
ejpam-6660	447	14	ahmad	ahmad	PROPN
ejpam-6660	447	15	.	.	PUNCT
ejpam-6660	448	1	bell	bell	NOUN
ejpam-6660	448	2	-	-	PUNCT
ejpam-6660	448	3	based	base	VERB
ejpam-6660	448	4	partially	partially	ADV
ejpam-6660	448	5	degenerate	degenerate	ADJ
ejpam-6660	448	6	genocchi	genocchi	NOUN
ejpam-6660	448	7	polynomials	polynomial	NOUN
ejpam-6660	448	8	and	and	CCONJ
ejpam-6660	448	9	their	their	PRON
ejpam-6660	448	10	applications	application	NOUN
ejpam-6660	448	11	.	.	PUNCT
ejpam-6660	449	1	bulletin	bulletin	NOUN
ejpam-6660	449	2	of	of	ADP
ejpam-6660	449	3	mathematical	mathematical	ADJ
ejpam-6660	449	4	analysis	analysis	NOUN
ejpam-6660	449	5	&	&	CCONJ
ejpam-6660	449	6	applications	application	NOUN
ejpam-6660	449	7	,	,	PUNCT
ejpam-6660	449	8	16(4	16(4	NUM
ejpam-6660	449	9	)	)	PUNCT
ejpam-6660	449	10	,	,	PUNCT
ejpam-6660	449	11	2024	2024	NUM
ejpam-6660	449	12	.	.	PUNCT
ejpam-6660	450	1	[	[	X
ejpam-6660	450	2	21	21	NUM
ejpam-6660	450	3	]	]	X
ejpam-6660	450	4	l	l	PROPN
ejpam-6660	450	5	catlitz	catlitz	PROPN
ejpam-6660	450	6	.	.	PUNCT
ejpam-6660	450	7	degenerate	degenerate	ADJ
ejpam-6660	450	8	stirling	stirling	PROPN
ejpam-6660	450	9	,	,	PUNCT
ejpam-6660	450	10	bernoulli	bernoulli	PROPN
ejpam-6660	450	11	and	and	CCONJ
ejpam-6660	450	12	eulerian	eulerian	ADJ
ejpam-6660	450	13	numbers	number	NOUN
ejpam-6660	450	14	.	.	PUNCT
ejpam-6660	451	1	util	util	NOUN
ejpam-6660	451	2	.	.	PUNCT
ejpam-6660	452	1	math	math	PROPN
ejpam-6660	452	2	,	,	PUNCT
ejpam-6660	452	3	15:51–88	15:51–88	NUM
ejpam-6660	452	4	,	,	PUNCT
ejpam-6660	452	5	1979	1979	NUM
ejpam-6660	452	6	.	.	PUNCT
ejpam-6660	453	1	[	[	X
ejpam-6660	453	2	22	22	NUM
ejpam-6660	453	3	]	]	PUNCT
ejpam-6660	453	4	naeem	naeem	PROPN
ejpam-6660	453	5	ahmad	ahmad	PROPN
ejpam-6660	453	6	and	and	CCONJ
ejpam-6660	453	7	waseem	waseem	PROPN
ejpam-6660	453	8	ahmad	ahmad	PROPN
ejpam-6660	453	9	khan	khan	PROPN
ejpam-6660	453	10	.	.	PUNCT
ejpam-6660	454	1	insights	insight	NOUN
ejpam-6660	454	2	into	into	ADP
ejpam-6660	454	3	new	new	ADJ
ejpam-6660	454	4	generalization	generalization	NOUN
ejpam-6660	454	5	of	of	ADP
ejpam-6660	454	6	q	q	NOUN
ejpam-6660	454	7	-	-	PUNCT
ejpam-6660	454	8	legendrebased	legendrebase	VERB
ejpam-6660	454	9	appell	appell	NOUN
ejpam-6660	454	10	polynomials	polynomial	NOUN
ejpam-6660	454	11	:	:	PUNCT
ejpam-6660	454	12	properties	property	NOUN
ejpam-6660	454	13	and	and	CCONJ
ejpam-6660	454	14	quasi	quasi	NOUN
ejpam-6660	454	15	monomiality	monomiality	NOUN
ejpam-6660	454	16	.	.	PUNCT
ejpam-6660	455	1	mathematics	mathematic	NOUN
ejpam-6660	455	2	,	,	PUNCT
ejpam-6660	455	3	13(6):955	13(6):955	NUM
ejpam-6660	455	4	,	,	PUNCT
ejpam-6660	455	5	2025	2025	NUM
ejpam-6660	455	6	.	.	PUNCT
ejpam-6660	456	1	[	[	X
ejpam-6660	456	2	23	23	NUM
ejpam-6660	456	3	]	]	PUNCT
ejpam-6660	456	4	mohra	mohra	NOUN
ejpam-6660	456	5	zayed	zaye	VERB
ejpam-6660	456	6	,	,	PUNCT
ejpam-6660	456	7	waseem	waseem	PROPN
ejpam-6660	456	8	ahmad	ahmad	PROPN
ejpam-6660	456	9	khan	khan	PROPN
ejpam-6660	456	10	,	,	PUNCT
ejpam-6660	456	11	cheon	cheon	PROPN
ejpam-6660	456	12	seoung	seoung	PROPN
ejpam-6660	456	13	ryoo	ryoo	NOUN
ejpam-6660	456	14	,	,	PUNCT
ejpam-6660	456	15	and	and	CCONJ
ejpam-6660	456	16	ugur	ugur	PROPN
ejpam-6660	456	17	duran	duran	PROPN
ejpam-6660	456	18	.	.	PUNCT
ejpam-6660	457	1	an	an	DET
ejpam-6660	457	2	exploratory	exploratory	ADJ
ejpam-6660	457	3	study	study	NOUN
ejpam-6660	457	4	on	on	ADP
ejpam-6660	457	5	bivariate	bivariate	ADJ
ejpam-6660	457	6	extended	extended	ADJ
ejpam-6660	457	7	q	q	ADJ
ejpam-6660	457	8	-	-	PUNCT
ejpam-6660	457	9	laguerre	laguerre	NOUN
ejpam-6660	457	10	-	-	PUNCT
ejpam-6660	457	11	based	base	VERB
ejpam-6660	457	12	appell	appell	NOUN
ejpam-6660	457	13	polynomials	polynomial	NOUN
ejpam-6660	457	14	with	with	ADP
ejpam-6660	457	15	some	some	DET
ejpam-6660	457	16	applications	application	NOUN
ejpam-6660	457	17	.	.	PUNCT
ejpam-6660	458	1	aims	aim	VERB
ejpam-6660	458	2	mathematics	mathematic	NOUN
ejpam-6660	458	3	,	,	PUNCT
ejpam-6660	458	4	10(6):12841–12867	10(6):12841–12867	NUM
ejpam-6660	458	5	,	,	PUNCT
ejpam-6660	458	6	2025	2025	NUM
ejpam-6660	458	7	.	.	PUNCT