id	sid	tid	token	lemma	pos
ejpam-3953	1	1	european	european	PROPN
ejpam-3953	1	2	journal	journal	PROPN
ejpam-3953	1	3	of	of	ADP
ejpam-3953	1	4	pure	pure	ADJ
ejpam-3953	1	5	and	and	CCONJ
ejpam-3953	1	6	applied	apply	VERB
ejpam-3953	1	7	mathematics	mathematic	NOUN
ejpam-3953	1	8	vol	vol	NOUN
ejpam-3953	1	9	.	.	PUNCT
ejpam-3953	2	1	14	14	NUM
ejpam-3953	2	2	,	,	PUNCT
ejpam-3953	2	3	no	no	INTJ
ejpam-3953	2	4	.	.	NOUN
ejpam-3953	2	5	3	3	NUM
ejpam-3953	2	6	,	,	PUNCT
ejpam-3953	2	7	2021	2021	NUM
ejpam-3953	2	8	,	,	PUNCT
ejpam-3953	2	9	746	746	NUM
ejpam-3953	2	10	-	-	SYM
ejpam-3953	2	11	759	759	NUM
ejpam-3953	2	12	issn	issn	PROPN
ejpam-3953	2	13	1307	1307	NUM
ejpam-3953	2	14	-	-	SYM
ejpam-3953	2	15	5543	5543	NUM
ejpam-3953	2	16	–	–	PUNCT
ejpam-3953	3	1	ejpam.com	ejpam.com	X
ejpam-3953	3	2	published	publish	VERB
ejpam-3953	3	3	by	by	ADP
ejpam-3953	3	4	new	new	PROPN
ejpam-3953	3	5	york	york	PROPN
ejpam-3953	3	6	business	business	PROPN
ejpam-3953	3	7	global	global	ADJ
ejpam-3953	3	8	hankel	hankel	NOUN
ejpam-3953	3	9	transform	transform	NOUN
ejpam-3953	3	10	of	of	ADP
ejpam-3953	3	11	the	the	DET
ejpam-3953	3	12	first	first	ADJ
ejpam-3953	3	13	form	form	NOUN
ejpam-3953	3	14	(	(	PUNCT
ejpam-3953	3	15	q	q	ADJ
ejpam-3953	3	16	,	,	PUNCT
ejpam-3953	3	17	r)-dowling	r)-dowle	VERB
ejpam-3953	3	18	numbers	number	NOUN
ejpam-3953	3	19	roberto	roberto	PROPN
ejpam-3953	3	20	b.	b.	PROPN
ejpam-3953	3	21	corcino1,2	corcino1,2	PROPN
ejpam-3953	3	22	1	1	NUM
ejpam-3953	3	23	research	research	NOUN
ejpam-3953	3	24	institute	institute	NOUN
ejpam-3953	3	25	for	for	ADP
ejpam-3953	3	26	computational	computational	ADJ
ejpam-3953	3	27	mathematics	mathematic	NOUN
ejpam-3953	3	28	and	and	CCONJ
ejpam-3953	3	29	physics	physics	NOUN
ejpam-3953	3	30	,	,	PUNCT
ejpam-3953	3	31	cebu	cebu	NOUN
ejpam-3953	3	32	normal	normal	ADJ
ejpam-3953	3	33	university	university	NOUN
ejpam-3953	3	34	,	,	PUNCT
ejpam-3953	3	35	6000	6000	NUM
ejpam-3953	3	36	cebu	cebu	NOUN
ejpam-3953	3	37	city	city	NOUN
ejpam-3953	3	38	,	,	PUNCT
ejpam-3953	3	39	philippines	philippine	NOUN
ejpam-3953	3	40	2	2	NUM
ejpam-3953	3	41	mathematics	mathematics	NOUN
ejpam-3953	3	42	department	department	NOUN
ejpam-3953	3	43	,	,	PUNCT
ejpam-3953	3	44	cebu	cebu	NOUN
ejpam-3953	3	45	normal	normal	ADJ
ejpam-3953	3	46	university	university	NOUN
ejpam-3953	3	47	,	,	PUNCT
ejpam-3953	3	48	6000	6000	NUM
ejpam-3953	3	49	cebu	cebu	NOUN
ejpam-3953	3	50	city	city	NOUN
ejpam-3953	3	51	,	,	PUNCT
ejpam-3953	3	52	philippines	philippine	NOUN
ejpam-3953	3	53	abstract	abstract	ADJ
ejpam-3953	3	54	.	.	PUNCT
ejpam-3953	4	1	in	in	ADP
ejpam-3953	4	2	this	this	DET
ejpam-3953	4	3	paper	paper	NOUN
ejpam-3953	4	4	,	,	PUNCT
ejpam-3953	4	5	the	the	DET
ejpam-3953	4	6	hankel	hankel	NOUN
ejpam-3953	4	7	transform	transform	NOUN
ejpam-3953	4	8	of	of	ADP
ejpam-3953	4	9	the	the	DET
ejpam-3953	4	10	generalized	generalized	ADJ
ejpam-3953	4	11	q	q	ADJ
ejpam-3953	4	12	-	-	ADJ
ejpam-3953	4	13	exponential	exponential	ADJ
ejpam-3953	4	14	polynomial	polynomial	NOUN
ejpam-3953	4	15	of	of	ADP
ejpam-3953	4	16	the	the	DET
ejpam-3953	4	17	first	first	ADJ
ejpam-3953	4	18	form	form	NOUN
ejpam-3953	4	19	(	(	PUNCT
ejpam-3953	4	20	q	q	X
ejpam-3953	4	21	,	,	PUNCT
ejpam-3953	4	22	r)-whitney	r)-whitney	NOUN
ejpam-3953	4	23	numbers	number	NOUN
ejpam-3953	4	24	of	of	ADP
ejpam-3953	4	25	the	the	DET
ejpam-3953	4	26	second	second	ADJ
ejpam-3953	4	27	kind	kind	NOUN
ejpam-3953	4	28	is	be	AUX
ejpam-3953	4	29	established	establish	VERB
ejpam-3953	4	30	using	use	VERB
ejpam-3953	4	31	the	the	DET
ejpam-3953	4	32	method	method	NOUN
ejpam-3953	4	33	of	of	ADP
ejpam-3953	4	34	cigler	cigler	NOUN
ejpam-3953	4	35	.	.	PUNCT
ejpam-3953	5	1	consequently	consequently	ADV
ejpam-3953	5	2	,	,	PUNCT
ejpam-3953	5	3	the	the	DET
ejpam-3953	5	4	hankel	hankel	NOUN
ejpam-3953	5	5	transform	transform	NOUN
ejpam-3953	5	6	of	of	ADP
ejpam-3953	5	7	the	the	DET
ejpam-3953	5	8	first	first	ADJ
ejpam-3953	5	9	form	form	NOUN
ejpam-3953	5	10	(	(	PUNCT
ejpam-3953	5	11	q	q	ADJ
ejpam-3953	5	12	,	,	PUNCT
ejpam-3953	5	13	r)-dowling	r)-dowle	VERB
ejpam-3953	5	14	numbers	number	NOUN
ejpam-3953	5	15	is	be	AUX
ejpam-3953	5	16	obtained	obtain	VERB
ejpam-3953	5	17	as	as	ADP
ejpam-3953	5	18	special	special	ADJ
ejpam-3953	5	19	case	case	NOUN
ejpam-3953	5	20	.	.	PUNCT
ejpam-3953	6	1	2020	2020	NUM
ejpam-3953	6	2	mathematics	mathematic	NOUN
ejpam-3953	6	3	subject	subject	NOUN
ejpam-3953	6	4	classifications	classification	NOUN
ejpam-3953	6	5	:	:	PUNCT
ejpam-3953	6	6	05a15	05a15	NUM
ejpam-3953	6	7	,	,	PUNCT
ejpam-3953	6	8	11b65	11b65	NUM
ejpam-3953	6	9	,	,	PUNCT
ejpam-3953	6	10	11b73	11b73	NUM
ejpam-3953	6	11	key	key	ADJ
ejpam-3953	6	12	words	word	NOUN
ejpam-3953	6	13	and	and	CCONJ
ejpam-3953	6	14	phrases	phrase	NOUN
ejpam-3953	6	15	:	:	PUNCT
ejpam-3953	6	16	r	r	X
ejpam-3953	6	17	-	-	PUNCT
ejpam-3953	6	18	whitney	whitney	NOUN
ejpam-3953	6	19	numbers	number	NOUN
ejpam-3953	6	20	,	,	PUNCT
ejpam-3953	6	21	r	r	NOUN
ejpam-3953	6	22	-	-	PUNCT
ejpam-3953	6	23	dowling	dowle	VERB
ejpam-3953	6	24	numbers	number	NOUN
ejpam-3953	6	25	,	,	PUNCT
ejpam-3953	6	26	generating	generate	VERB
ejpam-3953	6	27	function	function	NOUN
ejpam-3953	6	28	,	,	PUNCT
ejpam-3953	6	29	qanalogue	qanalogue	NOUN
ejpam-3953	6	30	,	,	PUNCT
ejpam-3953	6	31	q	q	ADJ
ejpam-3953	6	32	-	-	PUNCT
ejpam-3953	6	33	exponential	exponential	ADJ
ejpam-3953	6	34	function	function	NOUN
ejpam-3953	6	35	,	,	PUNCT
ejpam-3953	6	36	a	a	DET
ejpam-3953	6	37	-	-	PUNCT
ejpam-3953	6	38	tableau	tableau	NOUN
ejpam-3953	6	39	,	,	PUNCT
ejpam-3953	6	40	convolution	convolution	NOUN
ejpam-3953	6	41	formula	formula	NOUN
ejpam-3953	6	42	,	,	PUNCT
ejpam-3953	6	43	hankel	hankel	NOUN
ejpam-3953	6	44	transform	transform	NOUN
ejpam-3953	6	45	,	,	PUNCT
ejpam-3953	6	46	hankel	hankel	NOUN
ejpam-3953	6	47	matrix	matrix	NOUN
ejpam-3953	6	48	,	,	PUNCT
ejpam-3953	6	49	k	k	ADJ
ejpam-3953	6	50	-	-	ADJ
ejpam-3953	6	51	binomial	binomial	ADJ
ejpam-3953	6	52	transform	transform	NOUN
ejpam-3953	6	53	1	1	NUM
ejpam-3953	6	54	.	.	PUNCT
ejpam-3953	6	55	introduction	introduction	NOUN
ejpam-3953	6	56	the	the	DET
ejpam-3953	6	57	r	r	NOUN
ejpam-3953	6	58	-	-	PUNCT
ejpam-3953	6	59	dowling	dowle	VERB
ejpam-3953	6	60	numbers	number	NOUN
ejpam-3953	6	61	dm	dm	NOUN
ejpam-3953	6	62	,	,	PUNCT
ejpam-3953	6	63	r(n	r(n	PROPN
ejpam-3953	6	64	)	)	PUNCT
ejpam-3953	6	65	are	be	AUX
ejpam-3953	6	66	defined	define	VERB
ejpam-3953	6	67	in	in	ADP
ejpam-3953	6	68	[	[	X
ejpam-3953	6	69	6	6	NUM
ejpam-3953	6	70	]	]	PUNCT
ejpam-3953	6	71	as	as	ADP
ejpam-3953	6	72	the	the	DET
ejpam-3953	6	73	sum	sum	NOUN
ejpam-3953	6	74	of	of	ADP
ejpam-3953	6	75	r	r	NOUN
ejpam-3953	6	76	-	-	PUNCT
ejpam-3953	6	77	whitney	whitney	NOUN
ejpam-3953	6	78	numbers	number	NOUN
ejpam-3953	6	79	of	of	ADP
ejpam-3953	6	80	the	the	DET
ejpam-3953	6	81	second	second	ADJ
ejpam-3953	6	82	wm	wm	PROPN
ejpam-3953	6	83	,	,	PUNCT
ejpam-3953	6	84	r(n	r(n	PROPN
ejpam-3953	6	85	,	,	PUNCT
ejpam-3953	6	86	k	k	NOUN
ejpam-3953	6	87	)	)	PUNCT
ejpam-3953	7	1	[	[	X
ejpam-3953	7	2	9	9	NUM
ejpam-3953	7	3	,	,	PUNCT
ejpam-3953	7	4	11	11	NUM
ejpam-3953	7	5	]	]	PUNCT
ejpam-3953	7	6	.	.	PUNCT
ejpam-3953	8	1	more	more	ADV
ejpam-3953	8	2	precisely	precisely	ADV
ejpam-3953	8	3	,	,	PUNCT
ejpam-3953	8	4	dm	dm	NOUN
ejpam-3953	8	5	,	,	PUNCT
ejpam-3953	8	6	r(n	r(n	PROPN
ejpam-3953	8	7	)	)	PUNCT
ejpam-3953	8	8	:	:	PUNCT
ejpam-3953	9	1	=	=	SYM
ejpam-3953	9	2	n∑	n∑	PROPN
ejpam-3953	9	3	k=0	k=0	PROPN
ejpam-3953	9	4	wm	wm	PROPN
ejpam-3953	9	5	,	,	PUNCT
ejpam-3953	9	6	r(n	r(n	PROPN
ejpam-3953	9	7	,	,	PUNCT
ejpam-3953	9	8	k	k	NOUN
ejpam-3953	9	9	)	)	PUNCT
ejpam-3953	9	10	,	,	PUNCT
ejpam-3953	9	11	where	where	SCONJ
ejpam-3953	9	12	n	n	PRON
ejpam-3953	9	13	is	be	AUX
ejpam-3953	9	14	a	a	DET
ejpam-3953	9	15	nonnegative	nonnegative	ADJ
ejpam-3953	9	16	integer	integer	NOUN
ejpam-3953	9	17	and	and	CCONJ
ejpam-3953	9	18	the	the	DET
ejpam-3953	9	19	parameters	parameter	NOUN
ejpam-3953	9	20	m	m	VERB
ejpam-3953	9	21	and	and	CCONJ
ejpam-3953	9	22	r	r	NOUN
ejpam-3953	9	23	may	may	AUX
ejpam-3953	9	24	be	be	AUX
ejpam-3953	9	25	real	real	ADJ
ejpam-3953	9	26	or	or	CCONJ
ejpam-3953	9	27	complex	complex	ADJ
ejpam-3953	9	28	numbers	number	NOUN
ejpam-3953	9	29	.	.	PUNCT
ejpam-3953	10	1	these	these	DET
ejpam-3953	10	2	numbers	number	NOUN
ejpam-3953	10	3	are	be	AUX
ejpam-3953	10	4	certain	certain	ADJ
ejpam-3953	10	5	generalization	generalization	NOUN
ejpam-3953	10	6	of	of	ADP
ejpam-3953	10	7	ordinary	ordinary	ADJ
ejpam-3953	10	8	bell	bell	NOUN
ejpam-3953	10	9	numbers	number	NOUN
ejpam-3953	10	10	bn	bn	INTJ
ejpam-3953	10	11	[	[	X
ejpam-3953	10	12	3	3	NUM
ejpam-3953	10	13	]	]	PUNCT
ejpam-3953	10	14	,	,	PUNCT
ejpam-3953	10	15	rbell	rbell	NOUN
ejpam-3953	10	16	numbers	number	NOUN
ejpam-3953	10	17	br(n	br(n	PUNCT
ejpam-3953	10	18	)	)	PUNCT
ejpam-3953	11	1	[	[	X
ejpam-3953	11	2	10	10	NUM
ejpam-3953	11	3	]	]	PUNCT
ejpam-3953	11	4	,	,	PUNCT
ejpam-3953	11	5	and	and	CCONJ
ejpam-3953	11	6	noncentral	noncentral	ADJ
ejpam-3953	11	7	bell	bell	NOUN
ejpam-3953	11	8	numbers	number	NOUN
ejpam-3953	11	9	bn	bn	ADP
ejpam-3953	11	10	,	,	PUNCT
ejpam-3953	11	11	a	a	PRON
ejpam-3953	11	12	[	[	X
ejpam-3953	11	13	7	7	NUM
ejpam-3953	11	14	]	]	PUNCT
ejpam-3953	11	15	.	.	PUNCT
ejpam-3953	12	1	that	that	PRON
ejpam-3953	12	2	is	be	AUX
ejpam-3953	12	3	,	,	PUNCT
ejpam-3953	12	4	when	when	SCONJ
ejpam-3953	12	5	m	m	VERB
ejpam-3953	12	6	=	=	SYM
ejpam-3953	12	7	1	1	NUM
ejpam-3953	12	8	,	,	PUNCT
ejpam-3953	12	9	the	the	DET
ejpam-3953	12	10	r	r	NOUN
ejpam-3953	12	11	-	-	PUNCT
ejpam-3953	12	12	dowling	dowle	VERB
ejpam-3953	12	13	numbers	number	NOUN
ejpam-3953	12	14	reduce	reduce	VERB
ejpam-3953	12	15	to	to	ADP
ejpam-3953	12	16	r	r	NOUN
ejpam-3953	12	17	-	-	PUNCT
ejpam-3953	12	18	bell	bell	NOUN
ejpam-3953	12	19	numbers	number	NOUN
ejpam-3953	12	20	and	and	CCONJ
ejpam-3953	12	21	noncentral	noncentral	ADJ
ejpam-3953	12	22	bell	bell	NOUN
ejpam-3953	12	23	numbers	number	NOUN
ejpam-3953	12	24	.	.	PUNCT
ejpam-3953	13	1	furthermore	furthermore	ADV
ejpam-3953	13	2	,	,	PUNCT
ejpam-3953	13	3	when	when	SCONJ
ejpam-3953	13	4	m	m	VERB
ejpam-3953	13	5	=	=	SYM
ejpam-3953	13	6	1	1	NUM
ejpam-3953	13	7	,	,	PUNCT
ejpam-3953	13	8	r	r	NOUN
ejpam-3953	13	9	=	=	SYM
ejpam-3953	13	10	0	0	NUM
ejpam-3953	13	11	,	,	PUNCT
ejpam-3953	13	12	these	these	PRON
ejpam-3953	13	13	yield	yield	VERB
ejpam-3953	13	14	the	the	DET
ejpam-3953	13	15	ordinary	ordinary	ADJ
ejpam-3953	13	16	bell	bell	NOUN
ejpam-3953	13	17	numbers	number	NOUN
ejpam-3953	13	18	.	.	PUNCT
ejpam-3953	14	1	doi	doi	NOUN
ejpam-3953	14	2	:	:	PUNCT
ejpam-3953	14	3	https://doi.org/10.29020/nybg.ejpam.v14i3.3953	https://doi.org/10.29020/nybg.ejpam.v14i3.3953	NUM
ejpam-3953	14	4	email	email	NOUN
ejpam-3953	14	5	address	address	NOUN
ejpam-3953	14	6	:	:	PUNCT
ejpam-3953	14	7	rcorcino@yahoo.com	rcorcino@yahoo.com	X
ejpam-3953	14	8	(	(	PUNCT
ejpam-3953	14	9	r.	r.	PROPN
ejpam-3953	14	10	corcino	corcino	PROPN
ejpam-3953	14	11	)	)	PUNCT
ejpam-3953	14	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3953	15	1	746	746	NUM
ejpam-3953	15	2	©	©	ADP
ejpam-3953	15	3	2021	2021	NUM
ejpam-3953	15	4	ejpam	ejpam	VERB
ejpam-3953	15	5	all	all	DET
ejpam-3953	15	6	rights	right	NOUN
ejpam-3953	15	7	reserved	reserve	VERB
ejpam-3953	15	8	.	.	PUNCT
ejpam-3953	16	1	r.	r.	PROPN
ejpam-3953	16	2	corcino	corcino	PROPN
ejpam-3953	16	3	/	/	SYM
ejpam-3953	16	4	eur	eur	PROPN
ejpam-3953	16	5	.	.	PUNCT
ejpam-3953	17	1	j.	j.	PROPN
ejpam-3953	17	2	pure	pure	PROPN
ejpam-3953	17	3	appl	appl	PROPN
ejpam-3953	17	4	.	.	PROPN
ejpam-3953	17	5	math	math	PROPN
ejpam-3953	17	6	,	,	PUNCT
ejpam-3953	17	7	14	14	NUM
ejpam-3953	17	8	(	(	PUNCT
ejpam-3953	17	9	3	3	NUM
ejpam-3953	17	10	)	)	PUNCT
ejpam-3953	17	11	(	(	PUNCT
ejpam-3953	17	12	2021	2021	NUM
ejpam-3953	17	13	)	)	PUNCT
ejpam-3953	17	14	,	,	PUNCT
ejpam-3953	17	15	746	746	NUM
ejpam-3953	17	16	-	-	SYM
ejpam-3953	17	17	759	759	NUM
ejpam-3953	17	18	747	747	NUM
ejpam-3953	17	19	j.	j.	PROPN
ejpam-3953	17	20	layman	layman	PROPN
ejpam-3953	18	1	[	[	X
ejpam-3953	18	2	8	8	NUM
ejpam-3953	18	3	]	]	PUNCT
ejpam-3953	18	4	defined	define	VERB
ejpam-3953	18	5	the	the	DET
ejpam-3953	18	6	hankel	hankel	NOUN
ejpam-3953	18	7	transform	transform	NOUN
ejpam-3953	18	8	of	of	ADP
ejpam-3953	18	9	an	an	DET
ejpam-3953	18	10	integers	integer	NOUN
ejpam-3953	18	11	sequence	sequence	NOUN
ejpam-3953	18	12	(	(	PUNCT
ejpam-3953	18	13	an	an	NOUN
ejpam-3953	18	14	)	)	PUNCT
ejpam-3953	18	15	as	as	ADP
ejpam-3953	18	16	a	a	DET
ejpam-3953	18	17	sequence	sequence	NOUN
ejpam-3953	18	18	of	of	ADP
ejpam-3953	18	19	the	the	DET
ejpam-3953	18	20	following	follow	VERB
ejpam-3953	18	21	determinants	determinant	NOUN
ejpam-3953	18	22	dn	dn	ADP
ejpam-3953	18	23	of	of	ADP
ejpam-3953	18	24	hankel	hankel	NOUN
ejpam-3953	18	25	matrix	matrix	NOUN
ejpam-3953	18	26	of	of	ADP
ejpam-3953	18	27	order	order	NOUN
ejpam-3953	18	28	n	n	CCONJ
ejpam-3953	18	29	dn	dn	NOUN
ejpam-3953	18	30	=	=	PUNCT
ejpam-3953	18	31	∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-3953	18	32	a0	a0	PROPN
ejpam-3953	18	33	a1	a1	PROPN
ejpam-3953	18	34	a2	a2	PROPN
ejpam-3953	18	35	.	.	PUNCT
ejpam-3953	18	36	.	.	PUNCT
ejpam-3953	18	37	.	.	PUNCT
ejpam-3953	19	1	an	an	DET
ejpam-3953	19	2	a1	a1	NOUN
ejpam-3953	19	3	a2	a2	PROPN
ejpam-3953	19	4	a3	a3	NOUN
ejpam-3953	19	5	.	.	PUNCT
ejpam-3953	19	6	.	.	PUNCT
ejpam-3953	19	7	.	.	PUNCT
ejpam-3953	20	1	an+1	an+1	PROPN
ejpam-3953	20	2	a2	a2	PROPN
ejpam-3953	20	3	a3	a3	PROPN
ejpam-3953	20	4	a4	a4	PROPN
ejpam-3953	20	5	.	.	PUNCT
ejpam-3953	20	6	.	.	PUNCT
ejpam-3953	20	7	.	.	PUNCT
ejpam-3953	21	1	an+2	an+2	ADV
ejpam-3953	21	2	.	.	PUNCT
ejpam-3953	21	3	.	.	PUNCT
ejpam-3953	21	4	.	.	PUNCT
ejpam-3953	21	5	.	.	PUNCT
ejpam-3953	21	6	.	.	PUNCT
ejpam-3953	21	7	.	.	PUNCT
ejpam-3953	21	8	.	.	PUNCT
ejpam-3953	21	9	.	.	PUNCT
ejpam-3953	21	10	.	.	PUNCT
ejpam-3953	21	11	.	.	PUNCT
ejpam-3953	21	12	.	.	PUNCT
ejpam-3953	21	13	.	.	PUNCT
ejpam-3953	21	14	.	.	PUNCT
ejpam-3953	22	1	an	an	DET
ejpam-3953	22	2	an+1	an+1	NOUN
ejpam-3953	22	3	an+2	an+2	ADV
ejpam-3953	22	4	.	.	PUNCT
ejpam-3953	22	5	.	.	PUNCT
ejpam-3953	22	6	.	.	PUNCT
ejpam-3953	23	1	a2n	a2n	PROPN
ejpam-3953	23	2	∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-3953	23	3	.	.	PUNCT
ejpam-3953	24	1	(	(	PUNCT
ejpam-3953	24	2	1	1	X
ejpam-3953	24	3	)	)	PUNCT
ejpam-3953	24	4	aigner	aigner	NOUN
ejpam-3953	25	1	[	[	X
ejpam-3953	25	2	1	1	X
ejpam-3953	25	3	]	]	PUNCT
ejpam-3953	25	4	derived	derive	VERB
ejpam-3953	25	5	the	the	DET
ejpam-3953	25	6	hankel	hankel	NOUN
ejpam-3953	25	7	transform	transform	NOUN
ejpam-3953	25	8	of	of	ADP
ejpam-3953	25	9	the	the	DET
ejpam-3953	25	10	ordinary	ordinary	ADJ
ejpam-3953	25	11	bell	bell	NOUN
ejpam-3953	25	12	numbers	number	NOUN
ejpam-3953	25	13	to	to	PART
ejpam-3953	25	14	be	be	AUX
ejpam-3953	25	15	det(bi+j)0≤i	det(bi+j)0≤i	NOUN
ejpam-3953	25	16	,	,	PUNCT
ejpam-3953	25	17	j≤n	j≤n	X
ejpam-3953	25	18	=	=	SYM
ejpam-3953	25	19	n∏	n∏	PROPN
ejpam-3953	25	20	k=0	k=0	PROPN
ejpam-3953	25	21	k	k	PROPN
ejpam-3953	25	22	!	!	PUNCT
ejpam-3953	26	1	(	(	PUNCT
ejpam-3953	26	2	2	2	X
ejpam-3953	26	3	)	)	PUNCT
ejpam-3953	26	4	which	which	PRON
ejpam-3953	26	5	is	be	AUX
ejpam-3953	26	6	exactly	exactly	ADV
ejpam-3953	26	7	the	the	DET
ejpam-3953	26	8	hankel	hankel	NOUN
ejpam-3953	26	9	transform	transform	NOUN
ejpam-3953	26	10	obtained	obtain	VERB
ejpam-3953	26	11	by	by	ADP
ejpam-3953	26	12	mezo	mezo	NOUN
ejpam-3953	27	1	[	[	X
ejpam-3953	27	2	10	10	NUM
ejpam-3953	27	3	]	]	PUNCT
ejpam-3953	27	4	for	for	ADP
ejpam-3953	27	5	r	r	NOUN
ejpam-3953	27	6	-	-	PUNCT
ejpam-3953	27	7	bell	bell	NOUN
ejpam-3953	27	8	numbers	number	NOUN
ejpam-3953	27	9	using	use	VERB
ejpam-3953	27	10	layman	layman	PROPN
ejpam-3953	27	11	’s	’s	PART
ejpam-3953	27	12	theorem	theorem	NOUN
ejpam-3953	27	13	[	[	X
ejpam-3953	27	14	8	8	NUM
ejpam-3953	27	15	]	]	PUNCT
ejpam-3953	27	16	on	on	ADP
ejpam-3953	27	17	the	the	DET
ejpam-3953	27	18	invariance	invariance	NOUN
ejpam-3953	27	19	of	of	ADP
ejpam-3953	27	20	hankel	hankel	NOUN
ejpam-3953	27	21	transform	transform	NOUN
ejpam-3953	27	22	.	.	PUNCT
ejpam-3953	28	1	using	use	VERB
ejpam-3953	28	2	the	the	DET
ejpam-3953	28	3	method	method	NOUN
ejpam-3953	28	4	of	of	ADP
ejpam-3953	28	5	aiger	aiger	NOUN
ejpam-3953	28	6	[	[	X
ejpam-3953	28	7	1	1	NUM
ejpam-3953	28	8	]	]	PUNCT
ejpam-3953	28	9	and	and	CCONJ
ejpam-3953	28	10	layman	layman	PROPN
ejpam-3953	28	11	’s	’s	PART
ejpam-3953	28	12	theorem	theorem	NOUN
ejpam-3953	28	13	[	[	X
ejpam-3953	28	14	8	8	NUM
ejpam-3953	28	15	]	]	PUNCT
ejpam-3953	28	16	,	,	PUNCT
ejpam-3953	28	17	the	the	DET
ejpam-3953	28	18	sequence	sequence	NOUN
ejpam-3953	28	19	of	of	ADP
ejpam-3953	28	20	(	(	PUNCT
ejpam-3953	28	21	r	r	NOUN
ejpam-3953	28	22	,	,	PUNCT
ejpam-3953	28	23	β)-bell	β)-bell	PUNCT
ejpam-3953	28	24	numbers	number	NOUN
ejpam-3953	28	25	in	in	ADP
ejpam-3953	28	26	[	[	X
ejpam-3953	28	27	4	4	NUM
ejpam-3953	28	28	,	,	PUNCT
ejpam-3953	28	29	12	12	NUM
ejpam-3953	28	30	]	]	PUNCT
ejpam-3953	28	31	,	,	PUNCT
ejpam-3953	28	32	denoted	denote	VERB
ejpam-3953	28	33	by	by	ADP
ejpam-3953	28	34	{	{	PUNCT
ejpam-3953	28	35	gn	gn	PROPN
ejpam-3953	28	36	,	,	PUNCT
ejpam-3953	28	37	r	r	NOUN
ejpam-3953	28	38	,	,	PUNCT
ejpam-3953	28	39	β	β	NOUN
ejpam-3953	28	40	}	}	PUNCT
ejpam-3953	28	41	,	,	PUNCT
ejpam-3953	28	42	has	have	AUX
ejpam-3953	28	43	been	be	AUX
ejpam-3953	28	44	shown	show	VERB
ejpam-3953	28	45	to	to	PART
ejpam-3953	28	46	possess	possess	VERB
ejpam-3953	28	47	the	the	DET
ejpam-3953	28	48	following	follow	VERB
ejpam-3953	28	49	hankel	hankel	NOUN
ejpam-3953	28	50	transform	transform	NOUN
ejpam-3953	28	51	(	(	PUNCT
ejpam-3953	28	52	see	see	VERB
ejpam-3953	28	53	[	[	X
ejpam-3953	28	54	13	13	NUM
ejpam-3953	28	55	]	]	SYM
ejpam-3953	28	56	)	)	PUNCT
ejpam-3953	28	57	h(gn	h(gn	NOUN
ejpam-3953	28	58	,	,	PUNCT
ejpam-3953	28	59	r	r	NOUN
ejpam-3953	28	60	,	,	PUNCT
ejpam-3953	28	61	β	β	NOUN
ejpam-3953	28	62	)	)	PUNCT
ejpam-3953	28	63	=	=	SYM
ejpam-3953	28	64	n∏	n∏	PROPN
ejpam-3953	28	65	j=0	j=0	PROPN
ejpam-3953	28	66	βjj	βjj	PUNCT
ejpam-3953	28	67	!	!	PUNCT
ejpam-3953	28	68	.	.	PUNCT
ejpam-3953	29	1	it	it	PRON
ejpam-3953	29	2	is	be	AUX
ejpam-3953	29	3	worth	worth	ADJ
ejpam-3953	29	4	mentioning	mention	VERB
ejpam-3953	29	5	that	that	SCONJ
ejpam-3953	29	6	the	the	DET
ejpam-3953	29	7	(	(	PUNCT
ejpam-3953	29	8	r	r	NOUN
ejpam-3953	29	9	,	,	PUNCT
ejpam-3953	29	10	β)-bell	β)-bell	PUNCT
ejpam-3953	29	11	numbers	number	NOUN
ejpam-3953	29	12	are	be	AUX
ejpam-3953	29	13	equivalent	equivalent	ADJ
ejpam-3953	29	14	to	to	ADP
ejpam-3953	29	15	the	the	DET
ejpam-3953	29	16	r	r	NOUN
ejpam-3953	29	17	-	-	PUNCT
ejpam-3953	29	18	dowling	dowle	VERB
ejpam-3953	29	19	numbers	number	NOUN
ejpam-3953	29	20	dm	dm	NOUN
ejpam-3953	29	21	,	,	PUNCT
ejpam-3953	29	22	r(n	r(n	PROPN
ejpam-3953	29	23	)	)	PUNCT
ejpam-3953	29	24	,	,	PUNCT
ejpam-3953	29	25	which	which	PRON
ejpam-3953	29	26	are	be	AUX
ejpam-3953	29	27	defined	define	VERB
ejpam-3953	29	28	in	in	ADP
ejpam-3953	29	29	[	[	X
ejpam-3953	29	30	6	6	NUM
ejpam-3953	29	31	]	]	PUNCT
ejpam-3953	29	32	as	as	ADP
ejpam-3953	29	33	dm	dm	PROPN
ejpam-3953	29	34	,	,	PUNCT
ejpam-3953	29	35	r(n	r(n	PROPN
ejpam-3953	29	36	)	)	PUNCT
ejpam-3953	29	37	=	=	SYM
ejpam-3953	30	1	n∑	n∑	PROPN
ejpam-3953	30	2	k=0	k=0	PROPN
ejpam-3953	30	3	wm	wm	PROPN
ejpam-3953	30	4	,	,	PUNCT
ejpam-3953	30	5	r(n	r(n	PROPN
ejpam-3953	30	6	,	,	PUNCT
ejpam-3953	30	7	k	k	NOUN
ejpam-3953	30	8	)	)	PUNCT
ejpam-3953	30	9	where	where	SCONJ
ejpam-3953	30	10	wm	wm	PROPN
ejpam-3953	30	11	,	,	PUNCT
ejpam-3953	30	12	r(n	r(n	PROPN
ejpam-3953	30	13	,	,	PUNCT
ejpam-3953	30	14	k	k	NOUN
ejpam-3953	30	15	)	)	PUNCT
ejpam-3953	30	16	denotes	denote	VERB
ejpam-3953	30	17	the	the	DET
ejpam-3953	30	18	r	r	PROPN
ejpam-3953	30	19	-	-	PUNCT
ejpam-3953	30	20	whitney	whitney	NOUN
ejpam-3953	30	21	numbers	number	NOUN
ejpam-3953	30	22	of	of	ADP
ejpam-3953	30	23	the	the	DET
ejpam-3953	30	24	second	second	ADJ
ejpam-3953	30	25	kind	kind	NOUN
ejpam-3953	30	26	introduced	introduce	VERB
ejpam-3953	30	27	by	by	ADP
ejpam-3953	30	28	mezo	mezo	NOUN
ejpam-3953	30	29	in	in	ADP
ejpam-3953	30	30	[	[	X
ejpam-3953	30	31	9	9	NUM
ejpam-3953	30	32	]	]	PUNCT
ejpam-3953	30	33	.	.	PUNCT
ejpam-3953	31	1	in	in	ADP
ejpam-3953	31	2	[	[	X
ejpam-3953	31	3	13	13	NUM
ejpam-3953	31	4	]	]	PUNCT
ejpam-3953	31	5	,	,	PUNCT
ejpam-3953	31	6	the	the	DET
ejpam-3953	31	7	authors	author	NOUN
ejpam-3953	31	8	have	have	AUX
ejpam-3953	31	9	also	also	ADV
ejpam-3953	31	10	tried	try	VERB
ejpam-3953	31	11	to	to	PART
ejpam-3953	31	12	derive	derive	VERB
ejpam-3953	31	13	the	the	DET
ejpam-3953	31	14	hankel	hankel	NOUN
ejpam-3953	31	15	transform	transform	NOUN
ejpam-3953	31	16	of	of	ADP
ejpam-3953	31	17	the	the	DET
ejpam-3953	31	18	sequence	sequence	NOUN
ejpam-3953	31	19	of	of	ADP
ejpam-3953	31	20	q	q	NOUN
ejpam-3953	31	21	-	-	PUNCT
ejpam-3953	31	22	analogue	analogue	NOUN
ejpam-3953	31	23	of	of	ADP
ejpam-3953	31	24	(	(	PUNCT
ejpam-3953	31	25	r	r	NOUN
ejpam-3953	31	26	,	,	PUNCT
ejpam-3953	31	27	β)-bell	β)-bell	NOUN
ejpam-3953	31	28	numbers	number	NOUN
ejpam-3953	31	29	.	.	PUNCT
ejpam-3953	32	1	in	in	ADP
ejpam-3953	32	2	this	this	DET
ejpam-3953	32	3	attempt	attempt	NOUN
ejpam-3953	32	4	,	,	PUNCT
ejpam-3953	32	5	they	they	PRON
ejpam-3953	32	6	used	use	VERB
ejpam-3953	32	7	the	the	DET
ejpam-3953	32	8	q	q	ADJ
ejpam-3953	32	9	-	-	PUNCT
ejpam-3953	32	10	analogue	analogue	NOUN
ejpam-3953	32	11	defined	define	VERB
ejpam-3953	32	12	in	in	ADP
ejpam-3953	32	13	[	[	X
ejpam-3953	32	14	14	14	NUM
ejpam-3953	32	15	]	]	PUNCT
ejpam-3953	32	16	.	.	PUNCT
ejpam-3953	33	1	but	but	CCONJ
ejpam-3953	33	2	they	they	PRON
ejpam-3953	33	3	failed	fail	VERB
ejpam-3953	33	4	to	to	PART
ejpam-3953	33	5	derive	derive	VERB
ejpam-3953	33	6	it	it	PRON
ejpam-3953	33	7	.	.	PUNCT
ejpam-3953	34	1	just	just	ADV
ejpam-3953	34	2	recently	recently	ADV
ejpam-3953	34	3	,	,	PUNCT
ejpam-3953	34	4	another	another	DET
ejpam-3953	34	5	definition	definition	NOUN
ejpam-3953	34	6	of	of	ADP
ejpam-3953	34	7	q	q	NOUN
ejpam-3953	34	8	-	-	PUNCT
ejpam-3953	34	9	analogue	analogue	NOUN
ejpam-3953	34	10	of	of	ADP
ejpam-3953	34	11	r	r	NOUN
ejpam-3953	34	12	-	-	PUNCT
ejpam-3953	34	13	whitney	whitney	NOUN
ejpam-3953	34	14	numbers	number	NOUN
ejpam-3953	34	15	of	of	ADP
ejpam-3953	34	16	the	the	DET
ejpam-3953	34	17	second	second	ADJ
ejpam-3953	34	18	wm	wm	PROPN
ejpam-3953	34	19	,	,	PUNCT
ejpam-3953	34	20	r[n	r[n	NOUN
ejpam-3953	34	21	,	,	PUNCT
ejpam-3953	34	22	k]q	k]q	PROPN
ejpam-3953	34	23	was	be	AUX
ejpam-3953	34	24	introduced	introduce	VERB
ejpam-3953	34	25	in	in	ADP
ejpam-3953	34	26	[	[	X
ejpam-3953	34	27	16	16	NUM
ejpam-3953	34	28	,	,	PUNCT
ejpam-3953	34	29	17	17	NUM
ejpam-3953	34	30	]	]	PUNCT
ejpam-3953	34	31	by	by	ADP
ejpam-3953	34	32	means	mean	NOUN
ejpam-3953	34	33	of	of	ADP
ejpam-3953	34	34	the	the	DET
ejpam-3953	34	35	following	follow	VERB
ejpam-3953	34	36	triangular	triangular	NOUN
ejpam-3953	34	37	recurrence	recurrence	NOUN
ejpam-3953	34	38	relation	relation	PROPN
ejpam-3953	34	39	wm	wm	PROPN
ejpam-3953	34	40	,	,	PUNCT
ejpam-3953	34	41	r[n	r[n	NOUN
ejpam-3953	34	42	,	,	PUNCT
ejpam-3953	34	43	k]q	k]q	NOUN
ejpam-3953	34	44	=	=	SYM
ejpam-3953	34	45	qm(k−1)+rwm	qm(k−1)+rwm	PROPN
ejpam-3953	34	46	,	,	PUNCT
ejpam-3953	34	47	r[n−	r[n−	PROPN
ejpam-3953	34	48	1	1	NUM
ejpam-3953	34	49	,	,	PUNCT
ejpam-3953	34	50	k	k	PROPN
ejpam-3953	34	51	−	−	PROPN
ejpam-3953	35	1	1]q	1]q	PROPN
ejpam-3953	36	1	+	+	NUM
ejpam-3953	36	2	[	[	X
ejpam-3953	36	3	mk	mk	X
ejpam-3953	36	4	+	+	CCONJ
ejpam-3953	36	5	r]qwm	r]qwm	NOUN
ejpam-3953	36	6	,	,	PUNCT
ejpam-3953	36	7	r[n−	r[n−	PROPN
ejpam-3953	36	8	1	1	NUM
ejpam-3953	36	9	,	,	PUNCT
ejpam-3953	36	10	k]q	k]q	PROPN
ejpam-3953	36	11	,	,	PUNCT
ejpam-3953	36	12	(	(	PUNCT
ejpam-3953	36	13	3	3	X
ejpam-3953	36	14	)	)	PUNCT
ejpam-3953	36	15	where	where	SCONJ
ejpam-3953	36	16	n	n	NUM
ejpam-3953	36	17	and	and	CCONJ
ejpam-3953	36	18	k	k	PROPN
ejpam-3953	36	19	are	be	AUX
ejpam-3953	36	20	nonnegative	nonnegative	ADJ
ejpam-3953	36	21	integers	integer	NOUN
ejpam-3953	36	22	,	,	PUNCT
ejpam-3953	36	23	the	the	DET
ejpam-3953	36	24	parameters	parameter	NOUN
ejpam-3953	36	25	m	m	VERB
ejpam-3953	36	26	and	and	CCONJ
ejpam-3953	36	27	r	r	NOUN
ejpam-3953	36	28	may	may	AUX
ejpam-3953	36	29	be	be	AUX
ejpam-3953	36	30	real	real	ADJ
ejpam-3953	36	31	of	of	ADP
ejpam-3953	36	32	complex	complex	ADJ
ejpam-3953	36	33	numbers	number	NOUN
ejpam-3953	36	34	and	and	CCONJ
ejpam-3953	36	35	wm	wm	PROPN
ejpam-3953	36	36	,	,	PUNCT
ejpam-3953	36	37	r[n	r[n	NOUN
ejpam-3953	36	38	,	,	PUNCT
ejpam-3953	36	39	k]q	k]q	NOUN
ejpam-3953	36	40	=	=	PUNCT
ejpam-3953	36	41	{	{	PUNCT
ejpam-3953	36	42	1	1	NUM
ejpam-3953	36	43	,	,	PUNCT
ejpam-3953	36	44	n	n	NOUN
ejpam-3953	36	45	=	=	SYM
ejpam-3953	36	46	k	k	PROPN
ejpam-3953	36	47	and	and	CCONJ
ejpam-3953	36	48	n	n	PRON
ejpam-3953	36	49	≥	≥	NOUN
ejpam-3953	36	50	0	0	NUM
ejpam-3953	36	51	0	0	NUM
ejpam-3953	36	52	,	,	PUNCT
ejpam-3953	36	53	n	n	CCONJ
ejpam-3953	36	54	<	<	X
ejpam-3953	36	55	k	k	PROPN
ejpam-3953	36	56	or	or	CCONJ
ejpam-3953	36	57	n	n	CCONJ
ejpam-3953	36	58	,	,	PUNCT
ejpam-3953	36	59	k	k	X
ejpam-3953	36	60	<	<	X
ejpam-3953	36	61	0	0	X
ejpam-3953	36	62	.	.	PUNCT
ejpam-3953	37	1	from	from	ADP
ejpam-3953	37	2	this	this	DET
ejpam-3953	37	3	definition	definition	NOUN
ejpam-3953	37	4	,	,	PUNCT
ejpam-3953	37	5	two	two	NUM
ejpam-3953	37	6	more	more	ADJ
ejpam-3953	37	7	forms	form	NOUN
ejpam-3953	37	8	of	of	ADP
ejpam-3953	37	9	the	the	DET
ejpam-3953	37	10	q	q	NOUN
ejpam-3953	37	11	-	-	PUNCT
ejpam-3953	37	12	analogue	analogue	NOUN
ejpam-3953	37	13	were	be	AUX
ejpam-3953	37	14	defined	define	VERB
ejpam-3953	37	15	in	in	ADP
ejpam-3953	37	16	[	[	X
ejpam-3953	37	17	16	16	NUM
ejpam-3953	37	18	,	,	PUNCT
ejpam-3953	37	19	17	17	NUM
ejpam-3953	37	20	]	]	PUNCT
ejpam-3953	37	21	as	as	ADP
ejpam-3953	37	22	w	w	PROPN
ejpam-3953	37	23	∗m	∗m	NOUN
ejpam-3953	37	24	,	,	PUNCT
ejpam-3953	37	25	r[n	r[n	NOUN
ejpam-3953	37	26	,	,	PUNCT
ejpam-3953	37	27	k]q	k]q	ADV
ejpam-3953	37	28	:	:	PUNCT
ejpam-3953	37	29	=	=	SYM
ejpam-3953	37	30	q−kr−m(k2)wm	q−kr−m(k2)wm	NOUN
ejpam-3953	37	31	,	,	PUNCT
ejpam-3953	37	32	r[n	r[n	NOUN
ejpam-3953	37	33	,	,	PUNCT
ejpam-3953	37	34	k]q	k]q	X
ejpam-3953	37	35	(	(	PUNCT
ejpam-3953	37	36	4	4	NUM
ejpam-3953	37	37	)	)	PUNCT
ejpam-3953	37	38	r.	r.	PROPN
ejpam-3953	37	39	corcino	corcino	PROPN
ejpam-3953	37	40	/	/	SYM
ejpam-3953	37	41	eur	eur	PROPN
ejpam-3953	37	42	.	.	PUNCT
ejpam-3953	38	1	j.	j.	PROPN
ejpam-3953	38	2	pure	pure	PROPN
ejpam-3953	38	3	appl	appl	PROPN
ejpam-3953	38	4	.	.	PROPN
ejpam-3953	38	5	math	math	PROPN
ejpam-3953	38	6	,	,	PUNCT
ejpam-3953	38	7	14	14	NUM
ejpam-3953	38	8	(	(	PUNCT
ejpam-3953	38	9	3	3	NUM
ejpam-3953	38	10	)	)	PUNCT
ejpam-3953	38	11	(	(	PUNCT
ejpam-3953	38	12	2021	2021	NUM
ejpam-3953	38	13	)	)	PUNCT
ejpam-3953	38	14	,	,	PUNCT
ejpam-3953	38	15	746	746	NUM
ejpam-3953	38	16	-	-	SYM
ejpam-3953	38	17	759	759	NUM
ejpam-3953	38	18	748	748	NUM
ejpam-3953	38	19	w̃m	w̃m	PROPN
ejpam-3953	38	20	,	,	PUNCT
ejpam-3953	38	21	r[n	r[n	NOUN
ejpam-3953	38	22	,	,	PUNCT
ejpam-3953	38	23	k]q	k]q	ADV
ejpam-3953	38	24	:	:	PUNCT
ejpam-3953	38	25	=	=	NUM
ejpam-3953	38	26	qkrw	qkrw	ADJ
ejpam-3953	38	27	∗m	∗m	NOUN
ejpam-3953	38	28	,	,	PUNCT
ejpam-3953	38	29	r[n	r[n	NOUN
ejpam-3953	38	30	,	,	PUNCT
ejpam-3953	38	31	k]q	k]q	NOUN
ejpam-3953	38	32	=	=	SYM
ejpam-3953	38	33	q−m(k2)wm	q−m(k2)wm	NOUN
ejpam-3953	38	34	,	,	PUNCT
ejpam-3953	38	35	r[n	r[n	NOUN
ejpam-3953	38	36	,	,	PUNCT
ejpam-3953	38	37	k]q	k]q	PROPN
ejpam-3953	38	38	,	,	PUNCT
ejpam-3953	38	39	(	(	PUNCT
ejpam-3953	38	40	5	5	NUM
ejpam-3953	38	41	)	)	PUNCT
ejpam-3953	38	42	where	where	SCONJ
ejpam-3953	38	43	w	w	ADP
ejpam-3953	38	44	∗m	∗m	NOUN
ejpam-3953	38	45	,	,	PUNCT
ejpam-3953	38	46	r[n	r[n	NOUN
ejpam-3953	38	47	,	,	PUNCT
ejpam-3953	38	48	k]q	k]q	NOUN
ejpam-3953	38	49	and	and	CCONJ
ejpam-3953	38	50	w̃m	w̃m	PROPN
ejpam-3953	38	51	,	,	PUNCT
ejpam-3953	38	52	r[n	r[n	NOUN
ejpam-3953	38	53	,	,	PUNCT
ejpam-3953	38	54	k]q	k]q	NOUN
ejpam-3953	38	55	denote	denote	VERB
ejpam-3953	38	56	the	the	DET
ejpam-3953	38	57	second	second	ADJ
ejpam-3953	38	58	and	and	CCONJ
ejpam-3953	38	59	third	third	ADJ
ejpam-3953	38	60	forms	form	NOUN
ejpam-3953	38	61	of	of	ADP
ejpam-3953	38	62	the	the	DET
ejpam-3953	38	63	q	q	NOUN
ejpam-3953	38	64	-	-	PUNCT
ejpam-3953	38	65	analogue	analogue	NOUN
ejpam-3953	38	66	,	,	PUNCT
ejpam-3953	38	67	respectively	respectively	ADV
ejpam-3953	38	68	.	.	PUNCT
ejpam-3953	39	1	corresponding	correspond	VERB
ejpam-3953	39	2	to	to	ADP
ejpam-3953	39	3	these	these	PRON
ejpam-3953	39	4	,	,	PUNCT
ejpam-3953	39	5	three	three	NUM
ejpam-3953	39	6	forms	form	NOUN
ejpam-3953	39	7	of	of	ADP
ejpam-3953	39	8	q	q	NOUN
ejpam-3953	39	9	-	-	PUNCT
ejpam-3953	39	10	analogues	analogue	NOUN
ejpam-3953	39	11	for	for	ADP
ejpam-3953	39	12	r	r	NOUN
ejpam-3953	39	13	-	-	PUNCT
ejpam-3953	39	14	dowling	dowle	VERB
ejpam-3953	39	15	numbers	number	NOUN
ejpam-3953	39	16	(	(	PUNCT
ejpam-3953	39	17	or	or	CCONJ
ejpam-3953	39	18	(	(	PUNCT
ejpam-3953	39	19	q	q	ADJ
ejpam-3953	39	20	,	,	PUNCT
ejpam-3953	39	21	r)-dowling	r)-dowling	ADJ
ejpam-3953	39	22	numbers	number	NOUN
ejpam-3953	39	23	)	)	PUNCT
ejpam-3953	39	24	were	be	AUX
ejpam-3953	39	25	defined	define	VERB
ejpam-3953	39	26	as	as	SCONJ
ejpam-3953	39	27	follows	follow	VERB
ejpam-3953	39	28	:	:	PUNCT
ejpam-3953	40	1	dm	dm	NUM
ejpam-3953	40	2	,	,	PUNCT
ejpam-3953	40	3	r[n]q	r[n]q	NOUN
ejpam-3953	40	4	:	:	PUNCT
ejpam-3953	41	1	=	=	SYM
ejpam-3953	41	2	n∑	n∑	PROPN
ejpam-3953	41	3	k=0	k=0	PROPN
ejpam-3953	41	4	wm	wm	PROPN
ejpam-3953	41	5	,	,	PUNCT
ejpam-3953	41	6	r[n	r[n	NOUN
ejpam-3953	41	7	,	,	PUNCT
ejpam-3953	41	8	k]q	k]q	X
ejpam-3953	41	9	(	(	PUNCT
ejpam-3953	41	10	6	6	NUM
ejpam-3953	41	11	)	)	PUNCT
ejpam-3953	41	12	d∗m	d∗m	NOUN
ejpam-3953	41	13	,	,	PUNCT
ejpam-3953	41	14	r[n]q	r[n]q	NOUN
ejpam-3953	41	15	:	:	PUNCT
ejpam-3953	42	1	=	=	SYM
ejpam-3953	42	2	n∑	n∑	PROPN
ejpam-3953	42	3	k=0	k=0	PROPN
ejpam-3953	42	4	w	w	ADP
ejpam-3953	42	5	∗m	∗m	PROPN
ejpam-3953	42	6	,	,	PUNCT
ejpam-3953	42	7	r[n	r[n	NOUN
ejpam-3953	42	8	,	,	PUNCT
ejpam-3953	42	9	k]q	k]q	X
ejpam-3953	42	10	(	(	PUNCT
ejpam-3953	42	11	7	7	NUM
ejpam-3953	42	12	)	)	PUNCT
ejpam-3953	42	13	d̃m	d̃m	PROPN
ejpam-3953	42	14	,	,	PUNCT
ejpam-3953	42	15	r[n]q	r[n]q	VERB
ejpam-3953	42	16	:	:	PUNCT
ejpam-3953	42	17	=	=	SYM
ejpam-3953	42	18	n∑	n∑	PROPN
ejpam-3953	42	19	k=0	k=0	PROPN
ejpam-3953	42	20	w̃m	w̃m	PROPN
ejpam-3953	42	21	,	,	PUNCT
ejpam-3953	42	22	r[n	r[n	NOUN
ejpam-3953	42	23	,	,	PUNCT
ejpam-3953	42	24	k]q	k]q	PROPN
ejpam-3953	42	25	.	.	PUNCT
ejpam-3953	43	1	(	(	PUNCT
ejpam-3953	43	2	8)	8)	NUM
ejpam-3953	43	3	however	however	ADV
ejpam-3953	43	4	,	,	PUNCT
ejpam-3953	43	5	among	among	ADP
ejpam-3953	43	6	the	the	DET
ejpam-3953	43	7	three	three	NUM
ejpam-3953	43	8	forms	form	NOUN
ejpam-3953	43	9	of	of	ADP
ejpam-3953	43	10	(	(	PUNCT
ejpam-3953	43	11	q	q	ADJ
ejpam-3953	43	12	,	,	PUNCT
ejpam-3953	43	13	r)-dowling	r)-dowling	ADJ
ejpam-3953	43	14	numbers	number	NOUN
ejpam-3953	43	15	,	,	PUNCT
ejpam-3953	43	16	only	only	ADV
ejpam-3953	43	17	the	the	DET
ejpam-3953	43	18	first	first	ADJ
ejpam-3953	43	19	form	form	NOUN
ejpam-3953	43	20	has	have	AUX
ejpam-3953	43	21	not	not	PART
ejpam-3953	43	22	been	be	AUX
ejpam-3953	43	23	given	give	VERB
ejpam-3953	43	24	a	a	DET
ejpam-3953	43	25	hankel	hankel	NOUN
ejpam-3953	43	26	transform	transform	NOUN
ejpam-3953	43	27	.	.	PUNCT
ejpam-3953	44	1	the	the	DET
ejpam-3953	44	2	third	third	ADJ
ejpam-3953	44	3	form	form	NOUN
ejpam-3953	44	4	was	be	AUX
ejpam-3953	44	5	thoroughly	thoroughly	ADV
ejpam-3953	44	6	studied	study	VERB
ejpam-3953	44	7	in	in	ADP
ejpam-3953	44	8	[	[	X
ejpam-3953	44	9	17	17	NUM
ejpam-3953	44	10	]	]	PUNCT
ejpam-3953	44	11	and	and	CCONJ
ejpam-3953	44	12	its	its	PRON
ejpam-3953	44	13	hankel	hankel	NOUN
ejpam-3953	44	14	transform	transform	NOUN
ejpam-3953	44	15	was	be	AUX
ejpam-3953	44	16	successfully	successfully	ADV
ejpam-3953	44	17	derived	derive	VERB
ejpam-3953	44	18	,	,	PUNCT
ejpam-3953	44	19	which	which	PRON
ejpam-3953	44	20	is	be	AUX
ejpam-3953	44	21	given	give	VERB
ejpam-3953	44	22	by	by	ADP
ejpam-3953	44	23	h(d̃m	h(d̃m	PROPN
ejpam-3953	44	24	,	,	PUNCT
ejpam-3953	44	25	r[n]q	r[n]q	NOUN
ejpam-3953	44	26	)	)	PUNCT
ejpam-3953	44	27	=	=	PUNCT
ejpam-3953	45	1	qm(n+1	qm(n+1	PROPN
ejpam-3953	45	2	3	3	NUM
ejpam-3953	45	3	)	)	PUNCT
ejpam-3953	45	4	−rn(n+1)[0]qm	−rn(n+1)[0]qm	NOUN
ejpam-3953	45	5	!	!	PUNCT
ejpam-3953	46	1	[	[	X
ejpam-3953	46	2	1]qm	1]qm	NUM
ejpam-3953	46	3	!	!	PUNCT
ejpam-3953	46	4	.	.	PUNCT
ejpam-3953	46	5	.	.	PUNCT
ejpam-3953	46	6	.	.	PUNCT
ejpam-3953	47	1	[	[	X
ejpam-3953	47	2	n]qm	n]qm	NOUN
ejpam-3953	47	3	!	!	PUNCT
ejpam-3953	48	1	[	[	X
ejpam-3953	48	2	m	m	X
ejpam-3953	48	3	]	]	X
ejpam-3953	48	4	(	(	PUNCT
ejpam-3953	48	5	n+1	n+1	PROPN
ejpam-3953	48	6	2	2	X
ejpam-3953	48	7	)	)	PUNCT
ejpam-3953	48	8	q	q	NOUN
ejpam-3953	48	9	,	,	PUNCT
ejpam-3953	48	10	(	(	PUNCT
ejpam-3953	48	11	9	9	X
ejpam-3953	48	12	)	)	PUNCT
ejpam-3953	48	13	using	use	VERB
ejpam-3953	48	14	the	the	DET
ejpam-3953	48	15	hankel	hankel	NOUN
ejpam-3953	48	16	transform	transform	NOUN
ejpam-3953	48	17	of	of	ADP
ejpam-3953	48	18	q	q	ADJ
ejpam-3953	48	19	-	-	ADJ
ejpam-3953	48	20	exponential	exponential	ADJ
ejpam-3953	48	21	polynomials	polynomial	NOUN
ejpam-3953	48	22	in	in	ADP
ejpam-3953	48	23	[	[	X
ejpam-3953	48	24	5	5	NUM
ejpam-3953	48	25	]	]	PUNCT
ejpam-3953	48	26	,	,	PUNCT
ejpam-3953	48	27	the	the	DET
ejpam-3953	48	28	layman	layman	NOUN
ejpam-3953	48	29	’s	’s	PART
ejpam-3953	48	30	theorem	theorem	NOUN
ejpam-3953	48	31	in	in	ADP
ejpam-3953	48	32	[	[	X
ejpam-3953	48	33	8	8	NUM
ejpam-3953	48	34	]	]	PUNCT
ejpam-3953	48	35	and	and	CCONJ
ejpam-3953	48	36	the	the	DET
ejpam-3953	48	37	spivey	spivey	PROPN
ejpam-3953	48	38	-	-	PUNCT
ejpam-3953	48	39	steil	steil	PROPN
ejpam-3953	48	40	theorem	theorem	VERB
ejpam-3953	48	41	in	in	ADP
ejpam-3953	48	42	[	[	X
ejpam-3953	48	43	19	19	NUM
ejpam-3953	48	44	]	]	PUNCT
ejpam-3953	48	45	.	.	PUNCT
ejpam-3953	49	1	this	this	DET
ejpam-3953	49	2	method	method	NOUN
ejpam-3953	49	3	can	can	AUX
ejpam-3953	49	4	not	not	PART
ejpam-3953	49	5	be	be	AUX
ejpam-3953	49	6	used	use	VERB
ejpam-3953	49	7	to	to	PART
ejpam-3953	49	8	derive	derive	VERB
ejpam-3953	49	9	the	the	DET
ejpam-3953	49	10	hankel	hankel	NOUN
ejpam-3953	49	11	transform	transform	NOUN
ejpam-3953	49	12	of	of	ADP
ejpam-3953	49	13	the	the	DET
ejpam-3953	49	14	first	first	ADJ
ejpam-3953	49	15	and	and	CCONJ
ejpam-3953	49	16	second	second	ADJ
ejpam-3953	49	17	forms	form	NOUN
ejpam-3953	49	18	of	of	ADP
ejpam-3953	49	19	q	q	NOUN
ejpam-3953	49	20	-	-	PUNCT
ejpam-3953	49	21	analogues	analogue	NOUN
ejpam-3953	49	22	for	for	ADP
ejpam-3953	49	23	r	r	NOUN
ejpam-3953	49	24	-	-	PUNCT
ejpam-3953	49	25	dowling	dowle	VERB
ejpam-3953	49	26	numbers	number	NOUN
ejpam-3953	49	27	.	.	PUNCT
ejpam-3953	50	1	but	but	CCONJ
ejpam-3953	50	2	the	the	DET
ejpam-3953	50	3	method	method	NOUN
ejpam-3953	50	4	used	use	VERB
ejpam-3953	50	5	by	by	ADP
ejpam-3953	50	6	cigler	cigler	NOUN
ejpam-3953	50	7	in	in	ADP
ejpam-3953	50	8	[	[	X
ejpam-3953	50	9	2	2	NUM
ejpam-3953	50	10	]	]	PUNCT
ejpam-3953	50	11	can	can	AUX
ejpam-3953	50	12	be	be	AUX
ejpam-3953	50	13	used	use	VERB
ejpam-3953	50	14	to	to	PART
ejpam-3953	50	15	derive	derive	VERB
ejpam-3953	50	16	the	the	DET
ejpam-3953	50	17	hankel	hankel	NOUN
ejpam-3953	50	18	transform	transform	NOUN
ejpam-3953	50	19	for	for	ADP
ejpam-3953	50	20	the	the	DET
ejpam-3953	50	21	second	second	ADJ
ejpam-3953	50	22	form	form	NOUN
ejpam-3953	50	23	of	of	ADP
ejpam-3953	50	24	the	the	DET
ejpam-3953	50	25	(	(	PUNCT
ejpam-3953	50	26	q	q	ADJ
ejpam-3953	50	27	,	,	PUNCT
ejpam-3953	50	28	r)-dowling	r)-dowling	ADJ
ejpam-3953	50	29	numbers	number	NOUN
ejpam-3953	50	30	.	.	PUNCT
ejpam-3953	51	1	the	the	PRON
ejpam-3953	51	2	said	say	VERB
ejpam-3953	51	3	hankel	hankel	NOUN
ejpam-3953	51	4	transform	transform	NOUN
ejpam-3953	51	5	was	be	AUX
ejpam-3953	51	6	derived	derive	VERB
ejpam-3953	51	7	in	in	ADP
ejpam-3953	51	8	[	[	X
ejpam-3953	51	9	15	15	NUM
ejpam-3953	51	10	]	]	X
ejpam-3953	51	11	,	,	PUNCT
ejpam-3953	51	12	which	which	PRON
ejpam-3953	51	13	is	be	AUX
ejpam-3953	51	14	given	give	VERB
ejpam-3953	51	15	by	by	ADP
ejpam-3953	51	16	h(d∗m	h(d∗m	PROPN
ejpam-3953	51	17	,	,	PUNCT
ejpam-3953	51	18	r[n]q	r[n]q	NOUN
ejpam-3953	51	19	)	)	PUNCT
ejpam-3953	51	20	=	=	PUNCT
ejpam-3953	52	1	[	[	X
ejpam-3953	52	2	m	m	X
ejpam-3953	52	3	]	]	X
ejpam-3953	52	4	(	(	PUNCT
ejpam-3953	52	5	n2	n2	NOUN
ejpam-3953	52	6	)	)	PUNCT
ejpam-3953	52	7	q	q	NOUN
ejpam-3953	53	1	q	q	NOUN
ejpam-3953	53	2	(	(	PUNCT
ejpam-3953	53	3	n	n	NOUN
ejpam-3953	53	4	3)+r	3)+r	NUM
ejpam-3953	53	5	(	(	PUNCT
ejpam-3953	53	6	n	n	NOUN
ejpam-3953	53	7	2	2	NUM
ejpam-3953	53	8	)	)	PUNCT
ejpam-3953	53	9	n−1∏	n−1∏	PROPN
ejpam-3953	53	10	k=0	k=0	PROPN
ejpam-3953	54	1	[	[	X
ejpam-3953	54	2	k]qm	k]qm	PROPN
ejpam-3953	54	3	!	!	PUNCT
ejpam-3953	54	4	corcino	corcino	PROPN
ejpam-3953	54	5	et	et	PROPN
ejpam-3953	54	6	al	al	PROPN
ejpam-3953	54	7	.	.	PUNCT
ejpam-3953	55	1	[	[	X
ejpam-3953	55	2	18	18	NUM
ejpam-3953	55	3	]	]	PUNCT
ejpam-3953	55	4	have	have	AUX
ejpam-3953	55	5	made	make	VERB
ejpam-3953	55	6	a	a	DET
ejpam-3953	55	7	preliminary	preliminary	ADJ
ejpam-3953	55	8	investigation	investigation	NOUN
ejpam-3953	55	9	for	for	ADP
ejpam-3953	55	10	the	the	DET
ejpam-3953	55	11	first	first	ADJ
ejpam-3953	55	12	form	form	NOUN
ejpam-3953	55	13	(	(	PUNCT
ejpam-3953	55	14	q	q	INTJ
ejpam-3953	55	15	,	,	PUNCT
ejpam-3953	55	16	r)dowling	r)dowle	VERB
ejpam-3953	55	17	numbers	number	NOUN
ejpam-3953	55	18	dm	dm	VERB
ejpam-3953	55	19	,	,	PUNCT
ejpam-3953	55	20	r[n]q	r[n]q	NOUN
ejpam-3953	55	21	by	by	ADP
ejpam-3953	55	22	establishing	establish	VERB
ejpam-3953	55	23	an	an	DET
ejpam-3953	55	24	explicit	explicit	ADJ
ejpam-3953	55	25	formula	formula	NOUN
ejpam-3953	55	26	expressed	express	VERB
ejpam-3953	55	27	in	in	ADP
ejpam-3953	55	28	terms	term	NOUN
ejpam-3953	55	29	of	of	ADP
ejpam-3953	55	30	the	the	DET
ejpam-3953	55	31	first	first	ADJ
ejpam-3953	55	32	form	form	NOUN
ejpam-3953	55	33	(	(	PUNCT
ejpam-3953	55	34	q	q	X
ejpam-3953	55	35	,	,	PUNCT
ejpam-3953	55	36	r)-whitney	r)-whitney	NOUN
ejpam-3953	55	37	numbers	number	NOUN
ejpam-3953	55	38	of	of	ADP
ejpam-3953	55	39	the	the	DET
ejpam-3953	55	40	second	second	ADJ
ejpam-3953	55	41	kind	kind	NOUN
ejpam-3953	55	42	and	and	CCONJ
ejpam-3953	55	43	(	(	PUNCT
ejpam-3953	55	44	q	q	ADJ
ejpam-3953	55	45	,	,	PUNCT
ejpam-3953	55	46	r)-whitney	r)-whitney	ADJ
ejpam-3953	55	47	-	-	PUNCT
ejpam-3953	55	48	lah	lah	NOUN
ejpam-3953	55	49	numbers	number	NOUN
ejpam-3953	55	50	.	.	PUNCT
ejpam-3953	56	1	in	in	ADP
ejpam-3953	56	2	this	this	DET
ejpam-3953	56	3	present	present	ADJ
ejpam-3953	56	4	paper	paper	NOUN
ejpam-3953	56	5	,	,	PUNCT
ejpam-3953	56	6	the	the	DET
ejpam-3953	56	7	hankel	hankel	NOUN
ejpam-3953	56	8	transform	transform	VERB
ejpam-3953	56	9	for	for	ADP
ejpam-3953	56	10	the	the	DET
ejpam-3953	56	11	sequence	sequence	NOUN
ejpam-3953	56	12	(	(	PUNCT
ejpam-3953	56	13	dm	dm	NOUN
ejpam-3953	56	14	,	,	PUNCT
ejpam-3953	56	15	r[n]q	r[n]q	NOUN
ejpam-3953	56	16	)	)	PUNCT
ejpam-3953	56	17	∞	∞	PROPN
ejpam-3953	56	18	n=0	n=0	PROPN
ejpam-3953	56	19	will	will	AUX
ejpam-3953	56	20	be	be	AUX
ejpam-3953	56	21	established	establish	VERB
ejpam-3953	56	22	using	use	VERB
ejpam-3953	56	23	cigler	cigler	NOUN
ejpam-3953	56	24	’s	’s	PART
ejpam-3953	56	25	method	method	NOUN
ejpam-3953	56	26	[	[	X
ejpam-3953	56	27	2	2	NUM
ejpam-3953	56	28	]	]	PUNCT
ejpam-3953	56	29	.	.	PUNCT
ejpam-3953	57	1	however	however	ADV
ejpam-3953	57	2	,	,	PUNCT
ejpam-3953	57	3	a	a	DET
ejpam-3953	57	4	more	more	ADV
ejpam-3953	57	5	general	general	ADJ
ejpam-3953	57	6	form	form	NOUN
ejpam-3953	57	7	of	of	ADP
ejpam-3953	57	8	dm	dm	PROPN
ejpam-3953	57	9	,	,	PUNCT
ejpam-3953	57	10	r[n]q	r[n]q	NOUN
ejpam-3953	57	11	,	,	PUNCT
ejpam-3953	57	12	denoted	denote	VERB
ejpam-3953	57	13	by	by	ADP
ejpam-3953	57	14	φn[x	φn[x	PROPN
ejpam-3953	57	15	,	,	PUNCT
ejpam-3953	57	16	r	r	NOUN
ejpam-3953	57	17	,	,	PUNCT
ejpam-3953	57	18	m]q	m]q	PROPN
ejpam-3953	57	19	,	,	PUNCT
ejpam-3953	57	20	is	be	AUX
ejpam-3953	57	21	considered	consider	VERB
ejpam-3953	57	22	,	,	PUNCT
ejpam-3953	57	23	which	which	PRON
ejpam-3953	57	24	is	be	AUX
ejpam-3953	57	25	defined	define	VERB
ejpam-3953	57	26	in	in	ADP
ejpam-3953	57	27	polynomial	polynomial	ADJ
ejpam-3953	57	28	form	form	NOUN
ejpam-3953	57	29	as	as	SCONJ
ejpam-3953	57	30	follows	follow	VERB
ejpam-3953	57	31	:	:	PUNCT
ejpam-3953	57	32	φn	φn	ADP
ejpam-3953	58	1	[	[	X
ejpam-3953	58	2	x	x	X
ejpam-3953	58	3	,	,	PUNCT
ejpam-3953	58	4	r	r	NOUN
ejpam-3953	58	5	,	,	PUNCT
ejpam-3953	58	6	m]q	m]q	NOUN
ejpam-3953	58	7	=	=	SYM
ejpam-3953	58	8	n∑	n∑	PROPN
ejpam-3953	58	9	k=0	k=0	PROPN
ejpam-3953	58	10	wm	wm	PROPN
ejpam-3953	58	11	,	,	PUNCT
ejpam-3953	58	12	r[n	r[n	PROPN
ejpam-3953	58	13	,	,	PUNCT
ejpam-3953	58	14	k]qx	k]qx	PROPN
ejpam-3953	58	15	k	k	PROPN
ejpam-3953	58	16	(	(	PUNCT
ejpam-3953	58	17	10	10	NUM
ejpam-3953	58	18	)	)	PUNCT
ejpam-3953	58	19	such	such	ADJ
ejpam-3953	58	20	that	that	SCONJ
ejpam-3953	58	21	,	,	PUNCT
ejpam-3953	58	22	when	when	SCONJ
ejpam-3953	58	23	x	x	X
ejpam-3953	58	24	=	=	SYM
ejpam-3953	58	25	1	1	NUM
ejpam-3953	58	26	,	,	PUNCT
ejpam-3953	58	27	φn[1	φn[1	NUM
ejpam-3953	58	28	,	,	PUNCT
ejpam-3953	58	29	r	r	NOUN
ejpam-3953	58	30	,	,	PUNCT
ejpam-3953	58	31	m]q	m]q	NOUN
ejpam-3953	58	32	=	=	SYM
ejpam-3953	58	33	dm	dm	PROPN
ejpam-3953	58	34	,	,	PUNCT
ejpam-3953	58	35	r[n]q	r[n]q	NOUN
ejpam-3953	58	36	.	.	PUNCT
ejpam-3953	59	1	r.	r.	PROPN
ejpam-3953	59	2	corcino	corcino	PROPN
ejpam-3953	59	3	/	/	SYM
ejpam-3953	59	4	eur	eur	PROPN
ejpam-3953	59	5	.	.	PUNCT
ejpam-3953	60	1	j.	j.	PROPN
ejpam-3953	60	2	pure	pure	PROPN
ejpam-3953	60	3	appl	appl	PROPN
ejpam-3953	60	4	.	.	PROPN
ejpam-3953	60	5	math	math	PROPN
ejpam-3953	60	6	,	,	PUNCT
ejpam-3953	60	7	14	14	NUM
ejpam-3953	60	8	(	(	PUNCT
ejpam-3953	60	9	3	3	NUM
ejpam-3953	60	10	)	)	PUNCT
ejpam-3953	60	11	(	(	PUNCT
ejpam-3953	60	12	2021	2021	NUM
ejpam-3953	60	13	)	)	PUNCT
ejpam-3953	60	14	,	,	PUNCT
ejpam-3953	60	15	746	746	NUM
ejpam-3953	60	16	-	-	SYM
ejpam-3953	60	17	759	759	NUM
ejpam-3953	60	18	749	749	NUM
ejpam-3953	60	19	2	2	NUM
ejpam-3953	60	20	.	.	PUNCT
ejpam-3953	60	21	generalized	generalize	VERB
ejpam-3953	60	22	q	q	ADJ
ejpam-3953	60	23	-	-	ADJ
ejpam-3953	60	24	exponential	exponential	ADJ
ejpam-3953	60	25	polynomials	polynomial	NOUN
ejpam-3953	60	26	we	we	PRON
ejpam-3953	60	27	may	may	AUX
ejpam-3953	60	28	call	call	VERB
ejpam-3953	60	29	φn	φn	ADP
ejpam-3953	61	1	[	[	X
ejpam-3953	61	2	x	x	X
ejpam-3953	61	3	,	,	PUNCT
ejpam-3953	61	4	r	r	NOUN
ejpam-3953	61	5	,	,	PUNCT
ejpam-3953	61	6	m]q	m]q	VERB
ejpam-3953	61	7	to	to	PART
ejpam-3953	61	8	be	be	AUX
ejpam-3953	61	9	the	the	DET
ejpam-3953	61	10	generalized	generalized	ADJ
ejpam-3953	61	11	q	q	ADJ
ejpam-3953	61	12	-	-	ADJ
ejpam-3953	61	13	exponential	exponential	ADJ
ejpam-3953	61	14	polynomial	polynomial	NOUN
ejpam-3953	61	15	of	of	ADP
ejpam-3953	61	16	q	q	NOUN
ejpam-3953	61	17	-	-	PUNCT
ejpam-3953	61	18	analogue	analogue	NOUN
ejpam-3953	61	19	of	of	ADP
ejpam-3953	61	20	r	r	NOUN
ejpam-3953	61	21	-	-	PUNCT
ejpam-3953	61	22	whitney	whitney	NOUN
ejpam-3953	61	23	numbers	number	NOUN
ejpam-3953	61	24	of	of	ADP
ejpam-3953	61	25	the	the	DET
ejpam-3953	61	26	second	second	ADJ
ejpam-3953	61	27	kind	kind	NOUN
ejpam-3953	61	28	.	.	PUNCT
ejpam-3953	62	1	note	note	VERB
ejpam-3953	62	2	that	that	SCONJ
ejpam-3953	62	3	we	we	PRON
ejpam-3953	62	4	can	can	AUX
ejpam-3953	62	5	rewrite	rewrite	VERB
ejpam-3953	62	6	(	(	PUNCT
ejpam-3953	62	7	10	10	NUM
ejpam-3953	62	8	)	)	PUNCT
ejpam-3953	62	9	as	as	ADP
ejpam-3953	62	10	φn−1	φn−1	PROPN
ejpam-3953	62	11	[	[	X
ejpam-3953	62	12	x	x	NOUN
ejpam-3953	62	13	,	,	PUNCT
ejpam-3953	62	14	r	r	NOUN
ejpam-3953	62	15	,	,	PUNCT
ejpam-3953	62	16	m]q	m]q	NOUN
ejpam-3953	62	17	=	=	SYM
ejpam-3953	62	18	n−1∑	n−1∑	PROPN
ejpam-3953	62	19	k=0	k=0	PROPN
ejpam-3953	62	20	wm	wm	PROPN
ejpam-3953	62	21	,	,	PUNCT
ejpam-3953	62	22	r[n−	r[n−	PROPN
ejpam-3953	62	23	1	1	NUM
ejpam-3953	62	24	,	,	PUNCT
ejpam-3953	62	25	k]qx	k]qx	PROPN
ejpam-3953	62	26	k	k	PROPN
ejpam-3953	62	27	φn−1	φn−1	PROPN
ejpam-3953	62	28	[	[	X
ejpam-3953	62	29	qx	qx	INTJ
ejpam-3953	62	30	,	,	PUNCT
ejpam-3953	62	31	r	r	NOUN
ejpam-3953	62	32	,	,	PUNCT
ejpam-3953	62	33	m]q	m]q	NOUN
ejpam-3953	62	34	=	=	SYM
ejpam-3953	62	35	n−1∑	n−1∑	PROPN
ejpam-3953	62	36	k=0	k=0	PROPN
ejpam-3953	62	37	wm	wm	PROPN
ejpam-3953	62	38	,	,	PUNCT
ejpam-3953	62	39	r[n−	r[n−	PROPN
ejpam-3953	62	40	1	1	NUM
ejpam-3953	62	41	,	,	PUNCT
ejpam-3953	62	42	k]qq	k]qq	PROPN
ejpam-3953	62	43	rk+m(k2)+kxk	rk+m(k2)+kxk	PROPN
ejpam-3953	62	44	.	.	PUNCT
ejpam-3953	63	1	(	(	PUNCT
ejpam-3953	63	2	11	11	NUM
ejpam-3953	63	3	)	)	PUNCT
ejpam-3953	63	4	the	the	DET
ejpam-3953	63	5	following	follow	VERB
ejpam-3953	63	6	theorem	theorem	NOUN
ejpam-3953	63	7	contains	contain	VERB
ejpam-3953	63	8	a	a	DET
ejpam-3953	63	9	recursive	recursive	ADJ
ejpam-3953	63	10	relation	relation	NOUN
ejpam-3953	63	11	for	for	ADP
ejpam-3953	63	12	φn	φn	ADP
ejpam-3953	63	13	[	[	X
ejpam-3953	63	14	x	x	NOUN
ejpam-3953	63	15	,	,	PUNCT
ejpam-3953	63	16	r	r	NOUN
ejpam-3953	63	17	,	,	PUNCT
ejpam-3953	63	18	m]q	m]q	PROPN
ejpam-3953	63	19	.	.	PUNCT
ejpam-3953	64	1	theorem	theorem	VERB
ejpam-3953	64	2	2.1	2.1	NUM
ejpam-3953	64	3	.	.	PUNCT
ejpam-3953	65	1	the	the	DET
ejpam-3953	65	2	generalized	generalized	ADJ
ejpam-3953	65	3	q	q	ADJ
ejpam-3953	65	4	-	-	ADJ
ejpam-3953	65	5	exponential	exponential	ADJ
ejpam-3953	65	6	polynomials	polynomial	NOUN
ejpam-3953	65	7	φn	φn	ADP
ejpam-3953	65	8	[	[	X
ejpam-3953	65	9	x	x	NOUN
ejpam-3953	65	10	,	,	PUNCT
ejpam-3953	65	11	r	r	NOUN
ejpam-3953	65	12	,	,	PUNCT
ejpam-3953	65	13	m]q	m]q	NOUN
ejpam-3953	65	14	of	of	ADP
ejpam-3953	65	15	q	q	NOUN
ejpam-3953	65	16	-	-	PUNCT
ejpam-3953	65	17	analogue	analogue	NOUN
ejpam-3953	65	18	of	of	ADP
ejpam-3953	65	19	r	r	NOUN
ejpam-3953	65	20	-	-	PUNCT
ejpam-3953	65	21	whitney	whitney	NOUN
ejpam-3953	65	22	numbers	number	NOUN
ejpam-3953	65	23	of	of	ADP
ejpam-3953	65	24	the	the	DET
ejpam-3953	65	25	second	second	ADJ
ejpam-3953	65	26	kind	kind	NOUN
ejpam-3953	65	27	satisfy	satisfy	VERB
ejpam-3953	65	28	the	the	DET
ejpam-3953	65	29	following	follow	VERB
ejpam-3953	65	30	relation	relation	NOUN
ejpam-3953	65	31	φn[x	φn[x	PROPN
ejpam-3953	65	32	,	,	PUNCT
ejpam-3953	65	33	r	r	NOUN
ejpam-3953	65	34	,	,	PUNCT
ejpam-3953	65	35	m]q	m]q	NOUN
ejpam-3953	66	1	=	=	PUNCT
ejpam-3953	67	1	[	[	PUNCT
ejpam-3953	67	2	qrx+	qrx+	NOUN
ejpam-3953	67	3	(	(	PUNCT
ejpam-3953	67	4	qm	qm	PROPN
ejpam-3953	67	5	−	−	PROPN
ejpam-3953	67	6	1)qrx2dqm	1)qrx2dqm	NUM
ejpam-3953	67	7	+	+	CCONJ
ejpam-3953	68	1	[	[	X
ejpam-3953	68	2	r]q	r]q	NOUN
ejpam-3953	68	3	+	+	X
ejpam-3953	68	4	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	68	5	]	]	PUNCT
ejpam-3953	69	1	φn−1[x	φn−1[x	PROPN
ejpam-3953	69	2	,	,	PUNCT
ejpam-3953	69	3	r	r	NOUN
ejpam-3953	69	4	,	,	PUNCT
ejpam-3953	69	5	m]q	m]q	NOUN
ejpam-3953	69	6	.	.	PUNCT
ejpam-3953	70	1	(	(	PUNCT
ejpam-3953	70	2	12	12	NUM
ejpam-3953	70	3	)	)	PUNCT
ejpam-3953	70	4	proof	proof	NOUN
ejpam-3953	70	5	.	.	PUNCT
ejpam-3953	71	1	using	use	VERB
ejpam-3953	71	2	(	(	PUNCT
ejpam-3953	71	3	3	3	NUM
ejpam-3953	71	4	)	)	PUNCT
ejpam-3953	71	5	,	,	PUNCT
ejpam-3953	71	6	equation	equation	NOUN
ejpam-3953	71	7	(	(	PUNCT
ejpam-3953	71	8	10	10	NUM
ejpam-3953	71	9	)	)	PUNCT
ejpam-3953	71	10	can	can	AUX
ejpam-3953	71	11	be	be	AUX
ejpam-3953	71	12	written	write	VERB
ejpam-3953	71	13	as	as	ADP
ejpam-3953	71	14	φn	φn	ADP
ejpam-3953	71	15	[	[	X
ejpam-3953	71	16	x	x	NOUN
ejpam-3953	71	17	,	,	PUNCT
ejpam-3953	71	18	r	r	NOUN
ejpam-3953	71	19	,	,	PUNCT
ejpam-3953	71	20	m]q	m]q	NOUN
ejpam-3953	71	21	=	=	SYM
ejpam-3953	71	22	n∑	n∑	PROPN
ejpam-3953	71	23	k=0	k=0	PROPN
ejpam-3953	71	24	wm	wm	PROPN
ejpam-3953	71	25	,	,	PUNCT
ejpam-3953	71	26	r[n	r[n	PROPN
ejpam-3953	71	27	,	,	PUNCT
ejpam-3953	72	1	k]qx	k]qx	PROPN
ejpam-3953	72	2	k	k	PROPN
ejpam-3953	72	3	=	=	SYM
ejpam-3953	72	4	n∑	n∑	PROPN
ejpam-3953	72	5	k=0	k=0	PROPN
ejpam-3953	72	6	qmk−m+rwm	qmk−m+rwm	PROPN
ejpam-3953	72	7	,	,	PUNCT
ejpam-3953	72	8	r[n−	r[n−	PROPN
ejpam-3953	72	9	1	1	NUM
ejpam-3953	72	10	,	,	PUNCT
ejpam-3953	72	11	k	k	PROPN
ejpam-3953	73	1	−	−	PROPN
ejpam-3953	73	2	1]qx	1]qx	NUM
ejpam-3953	73	3	k	k	PROPN
ejpam-3953	74	1	+	+	PROPN
ejpam-3953	74	2	n∑	n∑	NOUN
ejpam-3953	74	3	k=0	k=0	PROPN
ejpam-3953	75	1	[	[	X
ejpam-3953	75	2	mk	mk	X
ejpam-3953	75	3	+	+	CCONJ
ejpam-3953	75	4	r]qwm	r]qwm	NOUN
ejpam-3953	75	5	,	,	PUNCT
ejpam-3953	75	6	r[n−	r[n−	PROPN
ejpam-3953	75	7	1	1	NUM
ejpam-3953	75	8	,	,	PUNCT
ejpam-3953	75	9	k]qx	k]qx	PROPN
ejpam-3953	75	10	k	k	PROPN
ejpam-3953	75	11	=	=	PUNCT
ejpam-3953	75	12	n−1∑	n−1∑	PROPN
ejpam-3953	75	13	k=0	k=0	PROPN
ejpam-3953	75	14	qm(k+1)−m+rwm	qm(k+1)−m+rwm	NUM
ejpam-3953	75	15	,	,	PUNCT
ejpam-3953	75	16	r[n−	r[n−	PROPN
ejpam-3953	75	17	1	1	NUM
ejpam-3953	75	18	,	,	PUNCT
ejpam-3953	75	19	k]qx	k]qx	PROPN
ejpam-3953	75	20	k+1	k+1	X
ejpam-3953	76	1	+	+	PUNCT
ejpam-3953	77	1	(	(	PUNCT
ejpam-3953	77	2	[	[	X
ejpam-3953	77	3	r]q	r]q	NOUN
ejpam-3953	77	4	+	+	X
ejpam-3953	77	5	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	77	6	)	)	PUNCT
ejpam-3953	77	7	φn−1[x	φn−1[x	NOUN
ejpam-3953	77	8	,	,	PUNCT
ejpam-3953	77	9	r	r	NOUN
ejpam-3953	77	10	,	,	PUNCT
ejpam-3953	77	11	m]q	m]q	NOUN
ejpam-3953	77	12	=	=	SYM
ejpam-3953	78	1	x	x	PROPN
ejpam-3953	78	2	n−1∑	n−1∑	PROPN
ejpam-3953	78	3	k=0	k=0	PROPN
ejpam-3953	78	4	qmk+rwm	qmk+rwm	PROPN
ejpam-3953	78	5	,	,	PUNCT
ejpam-3953	78	6	r[n−	r[n−	ADJ
ejpam-3953	78	7	1	1	NUM
ejpam-3953	78	8	,	,	PUNCT
ejpam-3953	78	9	k]qx	k]qx	PROPN
ejpam-3953	78	10	k	k	PROPN
ejpam-3953	79	1	+	+	PUNCT
ejpam-3953	79	2	(	(	PUNCT
ejpam-3953	79	3	[	[	X
ejpam-3953	79	4	r]q	r]q	NOUN
ejpam-3953	79	5	+	+	X
ejpam-3953	79	6	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	79	7	)	)	PUNCT
ejpam-3953	79	8	φn−1[x	φn−1[x	NOUN
ejpam-3953	79	9	,	,	PUNCT
ejpam-3953	79	10	r	r	NOUN
ejpam-3953	79	11	,	,	PUNCT
ejpam-3953	79	12	m]q	m]q	NOUN
ejpam-3953	79	13	=	=	SYM
ejpam-3953	80	1	xqr	xqr	PROPN
ejpam-3953	80	2	n−1∑	n−1∑	PROPN
ejpam-3953	80	3	k=0	k=0	PROPN
ejpam-3953	80	4	qmkwm	qmkwm	PROPN
ejpam-3953	80	5	,	,	PUNCT
ejpam-3953	80	6	r[n−	r[n−	PROPN
ejpam-3953	80	7	1	1	NUM
ejpam-3953	80	8	,	,	PUNCT
ejpam-3953	80	9	k]qx	k]qx	PROPN
ejpam-3953	80	10	k	k	PROPN
ejpam-3953	81	1	+	+	PUNCT
ejpam-3953	81	2	(	(	PUNCT
ejpam-3953	81	3	[	[	X
ejpam-3953	81	4	r]q	r]q	NOUN
ejpam-3953	81	5	+	+	X
ejpam-3953	81	6	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	81	7	)	)	PUNCT
ejpam-3953	81	8	φn−1[x	φn−1[x	NOUN
ejpam-3953	81	9	,	,	PUNCT
ejpam-3953	81	10	r	r	NOUN
ejpam-3953	81	11	,	,	PUNCT
ejpam-3953	81	12	m]q	m]q	NOUN
ejpam-3953	81	13	,	,	PUNCT
ejpam-3953	81	14	where	where	SCONJ
ejpam-3953	81	15	dq	dq	NOUN
ejpam-3953	81	16	denotes	denote	VERB
ejpam-3953	81	17	the	the	DET
ejpam-3953	81	18	q	q	ADJ
ejpam-3953	81	19	-	-	ADJ
ejpam-3953	81	20	derivative	derivative	ADJ
ejpam-3953	81	21	operator	operator	NOUN
ejpam-3953	81	22	defined	define	VERB
ejpam-3953	81	23	by	by	ADP
ejpam-3953	81	24	dqf(x	dqf(x	PROPN
ejpam-3953	81	25	)	)	PUNCT
ejpam-3953	81	26	=	=	SYM
ejpam-3953	81	27	f(x)−	f(x)−	PROPN
ejpam-3953	81	28	f(qx	f(qx	PROPN
ejpam-3953	81	29	)	)	PUNCT
ejpam-3953	81	30	(	(	PUNCT
ejpam-3953	81	31	1−	1−	NUM
ejpam-3953	81	32	q)x	q)x	NOUN
ejpam-3953	81	33	.	.	PUNCT
ejpam-3953	82	1	(	(	PUNCT
ejpam-3953	82	2	13	13	NUM
ejpam-3953	82	3	)	)	PUNCT
ejpam-3953	82	4	hence	hence	ADV
ejpam-3953	82	5	,	,	PUNCT
ejpam-3953	82	6	using	use	VERB
ejpam-3953	82	7	(	(	PUNCT
ejpam-3953	82	8	11	11	NUM
ejpam-3953	82	9	)	)	PUNCT
ejpam-3953	82	10	,	,	PUNCT
ejpam-3953	82	11	we	we	PRON
ejpam-3953	82	12	have	have	VERB
ejpam-3953	82	13	φn[x	φn[x	NOUN
ejpam-3953	82	14	,	,	PUNCT
ejpam-3953	82	15	r	r	NOUN
ejpam-3953	82	16	,	,	PUNCT
ejpam-3953	82	17	m]q	m]q	NOUN
ejpam-3953	82	18	=	=	SYM
ejpam-3953	82	19	xqrφn−1[q	xqrφn−1[q	PROPN
ejpam-3953	82	20	mx	mx	PROPN
ejpam-3953	82	21	,	,	PUNCT
ejpam-3953	82	22	r	r	NOUN
ejpam-3953	82	23	,	,	PUNCT
ejpam-3953	82	24	m]q	m]q	NOUN
ejpam-3953	83	1	+	+	CCONJ
ejpam-3953	83	2	(	(	PUNCT
ejpam-3953	83	3	[	[	X
ejpam-3953	83	4	r]q	r]q	NOUN
ejpam-3953	83	5	+	+	X
ejpam-3953	83	6	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	83	7	)	)	PUNCT
ejpam-3953	83	8	φn−1[x	φn−1[x	NOUN
ejpam-3953	83	9	,	,	PUNCT
ejpam-3953	83	10	r	r	NOUN
ejpam-3953	83	11	,	,	PUNCT
ejpam-3953	83	12	m]q	m]q	NOUN
ejpam-3953	83	13	.	.	PUNCT
ejpam-3953	84	1	(	(	PUNCT
ejpam-3953	84	2	14	14	NUM
ejpam-3953	84	3	)	)	PUNCT
ejpam-3953	84	4	note	note	NOUN
ejpam-3953	84	5	that	that	SCONJ
ejpam-3953	84	6	(	(	PUNCT
ejpam-3953	84	7	13	13	NUM
ejpam-3953	84	8	)	)	PUNCT
ejpam-3953	84	9	can	can	AUX
ejpam-3953	84	10	be	be	AUX
ejpam-3953	84	11	expressed	express	VERB
ejpam-3953	84	12	as	as	ADP
ejpam-3953	84	13	f(qx	f(qx	PROPN
ejpam-3953	84	14	)	)	PUNCT
ejpam-3953	84	15	=	=	PUNCT
ejpam-3953	85	1	(	(	PUNCT
ejpam-3953	85	2	q	q	NOUN
ejpam-3953	85	3	−	−	PROPN
ejpam-3953	85	4	1)xdqf(x	1)xdqf(x	NOUN
ejpam-3953	85	5	)	)	PUNCT
ejpam-3953	85	6	+	+	CCONJ
ejpam-3953	85	7	f(x	f(x	PROPN
ejpam-3953	85	8	)	)	PUNCT
ejpam-3953	85	9	r.	r.	PROPN
ejpam-3953	85	10	corcino	corcino	PROPN
ejpam-3953	85	11	/	/	SYM
ejpam-3953	85	12	eur	eur	PROPN
ejpam-3953	85	13	.	.	PUNCT
ejpam-3953	86	1	j.	j.	PROPN
ejpam-3953	86	2	pure	pure	PROPN
ejpam-3953	86	3	appl	appl	PROPN
ejpam-3953	86	4	.	.	PROPN
ejpam-3953	86	5	math	math	PROPN
ejpam-3953	86	6	,	,	PUNCT
ejpam-3953	86	7	14	14	NUM
ejpam-3953	86	8	(	(	PUNCT
ejpam-3953	86	9	3	3	NUM
ejpam-3953	86	10	)	)	PUNCT
ejpam-3953	86	11	(	(	PUNCT
ejpam-3953	86	12	2021	2021	NUM
ejpam-3953	86	13	)	)	PUNCT
ejpam-3953	86	14	,	,	PUNCT
ejpam-3953	86	15	746	746	NUM
ejpam-3953	86	16	-	-	SYM
ejpam-3953	86	17	759	759	NUM
ejpam-3953	86	18	750	750	NUM
ejpam-3953	86	19	f(qmx	f(qmx	NOUN
ejpam-3953	86	20	)	)	PUNCT
ejpam-3953	86	21	=	=	PUNCT
ejpam-3953	87	1	(	(	PUNCT
ejpam-3953	87	2	qm	qm	PROPN
ejpam-3953	87	3	−	−	PROPN
ejpam-3953	87	4	1)xdqmf(x	1)xdqmf(x	PROPN
ejpam-3953	87	5	)	)	PUNCT
ejpam-3953	88	1	+	+	CCONJ
ejpam-3953	88	2	f(x	f(x	PROPN
ejpam-3953	88	3	)	)	PUNCT
ejpam-3953	88	4	f(qmx	f(qmx	PROPN
ejpam-3953	88	5	)	)	PUNCT
ejpam-3953	89	1	=	=	SYM
ejpam-3953	89	2	(	(	PUNCT
ejpam-3953	89	3	(	(	PUNCT
ejpam-3953	89	4	qm	qm	PROPN
ejpam-3953	89	5	−	−	PROPN
ejpam-3953	89	6	1)xdqm	1)xdqm	NUM
ejpam-3953	89	7	+	+	SYM
ejpam-3953	89	8	1)f(x	1)f(x	NUM
ejpam-3953	89	9	)	)	PUNCT
ejpam-3953	89	10	.	.	PUNCT
ejpam-3953	90	1	this	this	PRON
ejpam-3953	90	2	implies	imply	VERB
ejpam-3953	90	3	that	that	SCONJ
ejpam-3953	90	4	φn−1[q	φn−1[q	PROPN
ejpam-3953	90	5	mx	mx	PROPN
ejpam-3953	90	6	,	,	PUNCT
ejpam-3953	90	7	r	r	NOUN
ejpam-3953	90	8	,	,	PUNCT
ejpam-3953	90	9	m]q	m]q	NOUN
ejpam-3953	90	10	=	=	PUNCT
ejpam-3953	90	11	(	(	PUNCT
ejpam-3953	90	12	1	1	NUM
ejpam-3953	90	13	+	+	CCONJ
ejpam-3953	90	14	(	(	PUNCT
ejpam-3953	90	15	qm	qm	PROPN
ejpam-3953	90	16	−	−	PROPN
ejpam-3953	90	17	1)xdqm	1)xdqm	NUM
ejpam-3953	90	18	)	)	PUNCT
ejpam-3953	90	19	φn−1[x	φn−1[x	PROPN
ejpam-3953	90	20	,	,	PUNCT
ejpam-3953	90	21	r	r	NOUN
ejpam-3953	90	22	,	,	PUNCT
ejpam-3953	90	23	m]q	m]q	NOUN
ejpam-3953	90	24	.	.	PUNCT
ejpam-3953	91	1	thus	thus	ADV
ejpam-3953	91	2	,	,	PUNCT
ejpam-3953	91	3	equation	equation	NOUN
ejpam-3953	91	4	(	(	PUNCT
ejpam-3953	91	5	14	14	NUM
ejpam-3953	91	6	)	)	PUNCT
ejpam-3953	91	7	can	can	AUX
ejpam-3953	91	8	further	far	ADV
ejpam-3953	91	9	be	be	AUX
ejpam-3953	91	10	written	write	VERB
ejpam-3953	91	11	as	as	ADP
ejpam-3953	91	12	φn[x	φn[x	PROPN
ejpam-3953	91	13	,	,	PUNCT
ejpam-3953	91	14	r	r	NOUN
ejpam-3953	91	15	,	,	PUNCT
ejpam-3953	91	16	m]q	m]q	NOUN
ejpam-3953	92	1	=	=	SYM
ejpam-3953	92	2	xqr	xqr	PROPN
ejpam-3953	92	3	(	(	PUNCT
ejpam-3953	92	4	1	1	NUM
ejpam-3953	92	5	+	+	CCONJ
ejpam-3953	92	6	(	(	PUNCT
ejpam-3953	92	7	qm	qm	PROPN
ejpam-3953	92	8	−	−	PROPN
ejpam-3953	92	9	1)xdqm	1)xdqm	NUM
ejpam-3953	92	10	)	)	PUNCT
ejpam-3953	92	11	φn−1[x	φn−1[x	PROPN
ejpam-3953	92	12	,	,	PUNCT
ejpam-3953	92	13	r	r	NOUN
ejpam-3953	92	14	,	,	PUNCT
ejpam-3953	92	15	m]q	m]q	NOUN
ejpam-3953	92	16	+	+	CCONJ
ejpam-3953	92	17	(	(	PUNCT
ejpam-3953	92	18	[	[	X
ejpam-3953	92	19	r]q	r]q	NOUN
ejpam-3953	92	20	+	+	X
ejpam-3953	92	21	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	92	22	)	)	PUNCT
ejpam-3953	92	23	φn−1[x	φn−1[x	NOUN
ejpam-3953	92	24	,	,	PUNCT
ejpam-3953	92	25	r	r	NOUN
ejpam-3953	92	26	,	,	PUNCT
ejpam-3953	92	27	m]q	m]q	NOUN
ejpam-3953	92	28	=	=	PUNCT
ejpam-3953	93	1	[	[	PUNCT
ejpam-3953	93	2	qrx+	qrx+	NOUN
ejpam-3953	93	3	(	(	PUNCT
ejpam-3953	93	4	qm	qm	PROPN
ejpam-3953	93	5	−	−	PROPN
ejpam-3953	93	6	1)qrx2dqm	1)qrx2dqm	NUM
ejpam-3953	94	1	+	+	NOUN
ejpam-3953	95	1	[	[	X
ejpam-3953	95	2	r]q	r]q	NOUN
ejpam-3953	95	3	+	+	X
ejpam-3953	95	4	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	95	5	]	]	PUNCT
ejpam-3953	96	1	φn−1[x	φn−1[x	PROPN
ejpam-3953	96	2	,	,	PUNCT
ejpam-3953	96	3	r	r	NOUN
ejpam-3953	96	4	,	,	PUNCT
ejpam-3953	96	5	m]q	m]q	PROPN
ejpam-3953	96	6	,	,	PUNCT
ejpam-3953	96	7	which	which	PRON
ejpam-3953	96	8	is	be	AUX
ejpam-3953	96	9	exactly	exactly	ADV
ejpam-3953	96	10	the	the	DET
ejpam-3953	96	11	desired	desire	VERB
ejpam-3953	96	12	relation	relation	NOUN
ejpam-3953	96	13	.	.	PUNCT
ejpam-3953	97	1	remark	remark	PROPN
ejpam-3953	97	2	2.2	2.2	NUM
ejpam-3953	97	3	.	.	PUNCT
ejpam-3953	98	1	let	let	VERB
ejpam-3953	98	2	d̂qx	d̂qx	NOUN
ejpam-3953	98	3	=	=	PUNCT
ejpam-3953	98	4	[	[	PUNCT
ejpam-3953	98	5	qrx+	qrx+	NOUN
ejpam-3953	98	6	(	(	PUNCT
ejpam-3953	98	7	qm	qm	PROPN
ejpam-3953	98	8	−	−	PROPN
ejpam-3953	98	9	1)qrx2dqm	1)qrx2dqm	NUM
ejpam-3953	99	1	+	+	CCONJ
ejpam-3953	100	1	[	[	X
ejpam-3953	100	2	r]q	r]q	NOUN
ejpam-3953	100	3	+	+	X
ejpam-3953	100	4	qr[m]qxdqm	qr[m]qxdqm	X
ejpam-3953	100	5	]	]	PUNCT
ejpam-3953	100	6	.	.	PUNCT
ejpam-3953	101	1	then	then	ADV
ejpam-3953	101	2	,	,	PUNCT
ejpam-3953	101	3	(	(	PUNCT
ejpam-3953	101	4	12	12	NUM
ejpam-3953	101	5	)	)	PUNCT
ejpam-3953	101	6	can	can	AUX
ejpam-3953	101	7	be	be	AUX
ejpam-3953	101	8	written	write	VERB
ejpam-3953	101	9	as	as	ADP
ejpam-3953	101	10	φn[x	φn[x	PROPN
ejpam-3953	101	11	,	,	PUNCT
ejpam-3953	101	12	r	r	NOUN
ejpam-3953	101	13	,	,	PUNCT
ejpam-3953	101	14	m]q	m]q	NOUN
ejpam-3953	101	15	=	=	SYM
ejpam-3953	101	16	d̂qxφn−1[x	d̂qxφn−1[x	PROPN
ejpam-3953	101	17	,	,	PUNCT
ejpam-3953	101	18	r	r	NOUN
ejpam-3953	101	19	,	,	PUNCT
ejpam-3953	101	20	m]q	m]q	PROPN
ejpam-3953	101	21	.	.	PUNCT
ejpam-3953	102	1	(	(	PUNCT
ejpam-3953	102	2	15	15	NUM
ejpam-3953	102	3	)	)	PUNCT
ejpam-3953	102	4	by	by	ADP
ejpam-3953	102	5	repeated	repeat	VERB
ejpam-3953	102	6	application	application	NOUN
ejpam-3953	102	7	of	of	ADP
ejpam-3953	102	8	(	(	PUNCT
ejpam-3953	102	9	15	15	NUM
ejpam-3953	102	10	)	)	PUNCT
ejpam-3953	102	11	,	,	PUNCT
ejpam-3953	102	12	φn[x	φn[x	PROPN
ejpam-3953	102	13	,	,	PUNCT
ejpam-3953	102	14	r	r	NOUN
ejpam-3953	102	15	,	,	PUNCT
ejpam-3953	102	16	m]q	m]q	NOUN
ejpam-3953	102	17	=	=	SYM
ejpam-3953	102	18	d̂qxφn−1[x	d̂qxφn−1[x	PROPN
ejpam-3953	102	19	,	,	PUNCT
ejpam-3953	102	20	r	r	NOUN
ejpam-3953	102	21	,	,	PUNCT
ejpam-3953	102	22	m]q	m]q	NOUN
ejpam-3953	102	23	=	=	SYM
ejpam-3953	102	24	d̂qx	d̂qx	PROPN
ejpam-3953	102	25	(	(	PUNCT
ejpam-3953	102	26	d̂qxφn−2[x	d̂qxφn−2[x	X
ejpam-3953	102	27	,	,	PUNCT
ejpam-3953	102	28	r	r	NOUN
ejpam-3953	102	29	,	,	PUNCT
ejpam-3953	102	30	m]q	m]q	NOUN
ejpam-3953	102	31	)	)	PUNCT
ejpam-3953	103	1	=	=	SYM
ejpam-3953	103	2	d̂2	d̂2	PROPN
ejpam-3953	103	3	qxφn−2[x	qxφn−2[x	PROPN
ejpam-3953	103	4	,	,	PUNCT
ejpam-3953	103	5	r	r	PROPN
ejpam-3953	103	6	,	,	PUNCT
ejpam-3953	103	7	m]q	m]q	NOUN
ejpam-3953	103	8	...	...	PUNCT
ejpam-3953	104	1	=	=	PUNCT
ejpam-3953	104	2	d̂n	d̂n	X
ejpam-3953	104	3	qxφ0[x	qxφ0[x	NOUN
ejpam-3953	104	4	,	,	PUNCT
ejpam-3953	104	5	r	r	NOUN
ejpam-3953	104	6	,	,	PUNCT
ejpam-3953	104	7	m]q	m]q	NOUN
ejpam-3953	104	8	=	=	SYM
ejpam-3953	104	9	d̂n	d̂n	X
ejpam-3953	104	10	qx	qx	NOUN
ejpam-3953	104	11	.	.	PROPN
ejpam-3953	104	12	3	3	X
ejpam-3953	104	13	.	.	X
ejpam-3953	104	14	hankel	hankel	NOUN
ejpam-3953	104	15	transform	transform	NOUN
ejpam-3953	104	16	of	of	ADP
ejpam-3953	104	17	dm	dm	PROPN
ejpam-3953	104	18	,	,	PUNCT
ejpam-3953	104	19	r[n]q	r[n]q	PROPN
ejpam-3953	104	20	let	let	VERB
ejpam-3953	104	21	〈	〈	PROPN
ejpam-3953	104	22	〈	〈	PROPN
ejpam-3953	104	23	x〉〉r	x〉〉r	PROPN
ejpam-3953	104	24	,	,	PUNCT
ejpam-3953	104	25	m	m	PROPN
ejpam-3953	104	26	,	,	PUNCT
ejpam-3953	104	27	k	k	PROPN
ejpam-3953	105	1	=	=	SYM
ejpam-3953	105	2	k−1∏	k−1∏	PROPN
ejpam-3953	105	3	j=0	j=0	PROPN
ejpam-3953	105	4	(	(	PUNCT
ejpam-3953	105	5	x−[r+jm]q	x−[r+jm]q	PROPN
ejpam-3953	105	6	)	)	PUNCT
ejpam-3953	105	7	qr+jm	qr+jm	NOUN
ejpam-3953	105	8	=	=	PUNCT
ejpam-3953	105	9	q−rk−m(k2)〈x〉r	q−rk−m(k2)〈x〉r	PROPN
ejpam-3953	105	10	,	,	PUNCT
ejpam-3953	105	11	m	m	PROPN
ejpam-3953	105	12	,	,	PUNCT
ejpam-3953	105	13	k.	k.	PROPN
ejpam-3953	106	1	the	the	DET
ejpam-3953	106	2	horizontal	horizontal	ADJ
ejpam-3953	106	3	generating	generate	VERB
ejpam-3953	106	4	function	function	NOUN
ejpam-3953	106	5	of	of	ADP
ejpam-3953	106	6	w	w	PROPN
ejpam-3953	106	7	∗m	∗m	NOUN
ejpam-3953	106	8	,	,	PUNCT
ejpam-3953	106	9	r[n	r[n	NOUN
ejpam-3953	106	10	,	,	PUNCT
ejpam-3953	106	11	k]q	k]q	NOUN
ejpam-3953	106	12	is	be	AUX
ejpam-3953	106	13	given	give	VERB
ejpam-3953	106	14	by	by	ADP
ejpam-3953	106	15	:	:	PUNCT
ejpam-3953	106	16	n∑	n∑	PROPN
ejpam-3953	106	17	k=0	k=0	PROPN
ejpam-3953	106	18	wm	wm	PROPN
ejpam-3953	106	19	,	,	PUNCT
ejpam-3953	106	20	r[n	r[n	PROPN
ejpam-3953	106	21	,	,	PUNCT
ejpam-3953	106	22	k]q〈x〉r	k]q〈x〉r	PROPN
ejpam-3953	106	23	,	,	PUNCT
ejpam-3953	106	24	m	m	PROPN
ejpam-3953	106	25	,	,	PUNCT
ejpam-3953	106	26	k	k	PROPN
ejpam-3953	107	1	=	=	PUNCT
ejpam-3953	107	2	xn	xn	PROPN
ejpam-3953	107	3	.	.	PUNCT
ejpam-3953	108	1	where	where	SCONJ
ejpam-3953	108	2	x	x	X
ejpam-3953	109	1	=	=	PUNCT
ejpam-3953	109	2	[	[	X
ejpam-3953	109	3	t]k	t]k	NOUN
ejpam-3953	109	4	.	.	PUNCT
ejpam-3953	110	1	define	define	VERB
ejpam-3953	110	2	a	a	DET
ejpam-3953	110	3	linear	linear	ADJ
ejpam-3953	110	4	functional	functional	ADJ
ejpam-3953	110	5	gr	gr	NOUN
ejpam-3953	110	6	,	,	PUNCT
ejpam-3953	110	7	q	q	NOUN
ejpam-3953	110	8	by	by	ADP
ejpam-3953	110	9	gr	gr	PROPN
ejpam-3953	110	10	,	,	PUNCT
ejpam-3953	110	11	q	q	X
ejpam-3953	110	12	(	(	PUNCT
ejpam-3953	110	13	〈	〈	PROPN
ejpam-3953	110	14	〈	〈	PROPN
ejpam-3953	110	15	x〉〉r	x〉〉r	PROPN
ejpam-3953	110	16	,	,	PUNCT
ejpam-3953	110	17	m	m	PROPN
ejpam-3953	110	18	,	,	PUNCT
ejpam-3953	110	19	n	n	CCONJ
ejpam-3953	110	20	)	)	PUNCT
ejpam-3953	110	21	=	=	PUNCT
ejpam-3953	110	22	an	an	DET
ejpam-3953	110	23	r.	r.	PROPN
ejpam-3953	110	24	corcino	corcino	PROPN
ejpam-3953	110	25	/	/	SYM
ejpam-3953	110	26	eur	eur	PROPN
ejpam-3953	110	27	.	.	PUNCT
ejpam-3953	111	1	j.	j.	PROPN
ejpam-3953	111	2	pure	pure	PROPN
ejpam-3953	111	3	appl	appl	PROPN
ejpam-3953	111	4	.	.	PROPN
ejpam-3953	111	5	math	math	PROPN
ejpam-3953	111	6	,	,	PUNCT
ejpam-3953	111	7	14	14	NUM
ejpam-3953	111	8	(	(	PUNCT
ejpam-3953	111	9	3	3	NUM
ejpam-3953	111	10	)	)	PUNCT
ejpam-3953	111	11	(	(	PUNCT
ejpam-3953	111	12	2021	2021	NUM
ejpam-3953	111	13	)	)	PUNCT
ejpam-3953	111	14	,	,	PUNCT
ejpam-3953	111	15	746	746	NUM
ejpam-3953	111	16	-	-	SYM
ejpam-3953	111	17	759	759	NUM
ejpam-3953	111	18	751	751	NUM
ejpam-3953	111	19	and	and	CCONJ
ejpam-3953	111	20	a	a	DET
ejpam-3953	111	21	linear	linear	ADJ
ejpam-3953	111	22	operator	operator	NOUN
ejpam-3953	111	23	vr	vr	NOUN
ejpam-3953	111	24	,	,	PUNCT
ejpam-3953	111	25	q	q	NOUN
ejpam-3953	111	26	by	by	ADP
ejpam-3953	111	27	vr	vr	PROPN
ejpam-3953	111	28	,	,	PUNCT
ejpam-3953	111	29	q	q	X
ejpam-3953	111	30	(	(	PUNCT
ejpam-3953	111	31	〈	〈	PROPN
ejpam-3953	111	32	〈	〈	PROPN
ejpam-3953	111	33	x〉〉r	x〉〉r	PROPN
ejpam-3953	111	34	,	,	PUNCT
ejpam-3953	111	35	m	m	PROPN
ejpam-3953	111	36	,	,	PUNCT
ejpam-3953	111	37	n	n	CCONJ
ejpam-3953	111	38	)	)	PUNCT
ejpam-3953	111	39	=	=	SYM
ejpam-3953	112	1	xn	xn	X
ejpam-3953	112	2	.	.	PUNCT
ejpam-3953	112	3	then	then	ADV
ejpam-3953	112	4	vr	vr	PROPN
ejpam-3953	112	5	,	,	PUNCT
ejpam-3953	112	6	q	q	X
ejpam-3953	112	7	(	(	PUNCT
ejpam-3953	112	8	xn	xn	NOUN
ejpam-3953	112	9	)	)	PUNCT
ejpam-3953	112	10	=	=	SYM
ejpam-3953	113	1	n∑	n∑	PROPN
ejpam-3953	113	2	k=0	k=0	PROPN
ejpam-3953	114	1	w	w	PROPN
ejpam-3953	114	2	∗m	∗m	PROPN
ejpam-3953	114	3	,	,	PUNCT
ejpam-3953	114	4	r[n	r[n	NOUN
ejpam-3953	114	5	,	,	PUNCT
ejpam-3953	114	6	k]qvr	k]qvr	NOUN
ejpam-3953	114	7	,	,	PUNCT
ejpam-3953	114	8	q	q	X
ejpam-3953	114	9	(	(	PUNCT
ejpam-3953	114	10	〈	〈	PROPN
ejpam-3953	114	11	x〉r	x〉r	PROPN
ejpam-3953	114	12	,	,	PUNCT
ejpam-3953	114	13	m	m	PROPN
ejpam-3953	114	14	,	,	PUNCT
ejpam-3953	114	15	k	k	NOUN
ejpam-3953	114	16	)	)	PUNCT
ejpam-3953	114	17	=	=	SYM
ejpam-3953	114	18	n∑	n∑	PROPN
ejpam-3953	114	19	k=0	k=0	PROPN
ejpam-3953	114	20	w	w	PROPN
ejpam-3953	114	21	∗m	∗m	PROPN
ejpam-3953	114	22	,	,	PUNCT
ejpam-3953	114	23	r[n	r[n	NOUN
ejpam-3953	114	24	,	,	PUNCT
ejpam-3953	114	25	k]qq	k]qq	PROPN
ejpam-3953	114	26	rk+m(k2)vr	rk+m(k2)vr	PROPN
ejpam-3953	114	27	,	,	PUNCT
ejpam-3953	114	28	q	q	X
ejpam-3953	114	29	(	(	PUNCT
ejpam-3953	114	30	〈	〈	PROPN
ejpam-3953	114	31	〈	〈	PROPN
ejpam-3953	114	32	x〉〉r	x〉〉r	PROPN
ejpam-3953	114	33	,	,	PUNCT
ejpam-3953	114	34	m	m	PROPN
ejpam-3953	114	35	,	,	PUNCT
ejpam-3953	114	36	k	k	NOUN
ejpam-3953	114	37	)	)	PUNCT
ejpam-3953	114	38	=	=	SYM
ejpam-3953	115	1	n∑	n∑	PROPN
ejpam-3953	115	2	k=0	k=0	PROPN
ejpam-3953	115	3	w	w	PROPN
ejpam-3953	115	4	∗m	∗m	PROPN
ejpam-3953	115	5	,	,	PUNCT
ejpam-3953	115	6	r[n	r[n	NOUN
ejpam-3953	115	7	,	,	PUNCT
ejpam-3953	115	8	k]qq	k]qq	PROPN
ejpam-3953	115	9	rk+m(k2)xk	rk+m(k2)xk	PROPN
ejpam-3953	115	10	=	=	PUNCT
ejpam-3953	115	11	φn[x	φn[x	PROPN
ejpam-3953	115	12	,	,	PUNCT
ejpam-3953	115	13	r	r	NOUN
ejpam-3953	115	14	,	,	PUNCT
ejpam-3953	115	15	m]q	m]q	VERB
ejpam-3953	115	16	consider	consider	VERB
ejpam-3953	115	17	the	the	DET
ejpam-3953	115	18	polynomial	polynomial	PROPN
ejpam-3953	115	19	gn	gn	PROPN
ejpam-3953	115	20	,	,	PUNCT
ejpam-3953	115	21	q(x	q(x	PROPN
ejpam-3953	115	22	,	,	PUNCT
ejpam-3953	115	23	a	a	DET
ejpam-3953	115	24	,	,	PUNCT
ejpam-3953	115	25	r	r	NOUN
ejpam-3953	115	26	,	,	PUNCT
ejpam-3953	115	27	m	m	NOUN
ejpam-3953	115	28	)	)	PUNCT
ejpam-3953	116	1	=	=	SYM
ejpam-3953	116	2	n∑	n∑	NOUN
ejpam-3953	116	3	k=0	k=0	PROPN
ejpam-3953	116	4	(	(	PUNCT
ejpam-3953	116	5	−a)kq	−a)kq	X
ejpam-3953	116	6	(	(	PUNCT
ejpam-3953	116	7	k	k	NOUN
ejpam-3953	116	8	2	2	X
ejpam-3953	116	9	)	)	PUNCT
ejpam-3953	116	10	[	[	PUNCT
ejpam-3953	116	11	n	n	X
ejpam-3953	116	12	k	k	NOUN
ejpam-3953	116	13	]	]	X
ejpam-3953	116	14	q	q	PUNCT
ejpam-3953	116	15	〈	〈	PROPN
ejpam-3953	116	16	〈	〈	PROPN
ejpam-3953	116	17	x〉〉r	x〉〉r	PROPN
ejpam-3953	116	18	,	,	PUNCT
ejpam-3953	116	19	m	m	PROPN
ejpam-3953	116	20	,	,	PUNCT
ejpam-3953	116	21	n−k	n−k	NOUN
ejpam-3953	116	22	.	.	PUNCT
ejpam-3953	117	1	then	then	ADV
ejpam-3953	117	2	vr	vr	PROPN
ejpam-3953	117	3	,	,	PUNCT
ejpam-3953	117	4	q	q	X
ejpam-3953	117	5	(	(	PUNCT
ejpam-3953	117	6	gn	gn	INTJ
ejpam-3953	117	7	,	,	PUNCT
ejpam-3953	117	8	q(x	q(x	PROPN
ejpam-3953	117	9	,	,	PUNCT
ejpam-3953	117	10	a	a	PRON
ejpam-3953	117	11	,	,	PUNCT
ejpam-3953	117	12	r	r	NOUN
ejpam-3953	117	13	,	,	PUNCT
ejpam-3953	117	14	m	m	NOUN
ejpam-3953	117	15	)	)	PUNCT
ejpam-3953	117	16	)	)	PUNCT
ejpam-3953	118	1	=	=	SYM
ejpam-3953	118	2	n∑	n∑	NOUN
ejpam-3953	118	3	k=0	k=0	PROPN
ejpam-3953	118	4	(	(	PUNCT
ejpam-3953	118	5	−a)kq	−a)kq	X
ejpam-3953	118	6	(	(	PUNCT
ejpam-3953	118	7	k	k	NOUN
ejpam-3953	118	8	2	2	X
ejpam-3953	118	9	)	)	PUNCT
ejpam-3953	118	10	[	[	PUNCT
ejpam-3953	118	11	n	n	X
ejpam-3953	118	12	k	k	X
ejpam-3953	118	13	]	]	X
ejpam-3953	118	14	q	q	X
ejpam-3953	118	15	vr	vr	PROPN
ejpam-3953	118	16	,	,	PUNCT
ejpam-3953	118	17	q	q	X
ejpam-3953	118	18	(	(	PUNCT
ejpam-3953	118	19	〈	〈	PROPN
ejpam-3953	118	20	〈	〈	PROPN
ejpam-3953	118	21	x〉〉r	x〉〉r	PROPN
ejpam-3953	118	22	,	,	PUNCT
ejpam-3953	118	23	m	m	PROPN
ejpam-3953	118	24	,	,	PUNCT
ejpam-3953	118	25	n−k	n−k	NOUN
ejpam-3953	118	26	)	)	PUNCT
ejpam-3953	118	27	=	=	SYM
ejpam-3953	118	28	n∑	n∑	NOUN
ejpam-3953	118	29	k=0	k=0	PROPN
ejpam-3953	118	30	(	(	PUNCT
ejpam-3953	118	31	−a)kq	−a)kq	X
ejpam-3953	118	32	(	(	PUNCT
ejpam-3953	118	33	k	k	NOUN
ejpam-3953	118	34	2	2	X
ejpam-3953	118	35	)	)	PUNCT
ejpam-3953	118	36	[	[	PUNCT
ejpam-3953	118	37	n	n	X
ejpam-3953	118	38	k	k	X
ejpam-3953	118	39	]	]	PUNCT
ejpam-3953	118	40	q	q	PROPN
ejpam-3953	118	41	xn−k	xn−k	PROPN
ejpam-3953	118	42	=	=	SYM
ejpam-3953	118	43	pn	pn	PROPN
ejpam-3953	118	44	,	,	PUNCT
ejpam-3953	118	45	q(x	q(x	PROPN
ejpam-3953	118	46	,	,	PUNCT
ejpam-3953	118	47	a	a	PRON
ejpam-3953	118	48	)	)	PUNCT
ejpam-3953	118	49	.	.	PUNCT
ejpam-3953	119	1	this	this	PRON
ejpam-3953	119	2	implies	imply	VERB
ejpam-3953	119	3	that	that	SCONJ
ejpam-3953	119	4	v	v	ADP
ejpam-3953	119	5	−1r	−1r	PROPN
ejpam-3953	119	6	,	,	PUNCT
ejpam-3953	119	7	q	q	PROPN
ejpam-3953	119	8	pn	pn	PROPN
ejpam-3953	119	9	,	,	PUNCT
ejpam-3953	119	10	q(x	q(x	PROPN
ejpam-3953	119	11	,	,	PUNCT
ejpam-3953	119	12	a	a	PRON
ejpam-3953	119	13	)	)	PUNCT
ejpam-3953	119	14	=	=	SYM
ejpam-3953	119	15	gn	gn	PROPN
ejpam-3953	119	16	,	,	PUNCT
ejpam-3953	119	17	q(x	q(x	PROPN
ejpam-3953	119	18	,	,	PUNCT
ejpam-3953	119	19	a	a	PRON
ejpam-3953	119	20	,	,	PUNCT
ejpam-3953	119	21	r	r	NOUN
ejpam-3953	119	22	,	,	PUNCT
ejpam-3953	119	23	m	m	NOUN
ejpam-3953	119	24	)	)	PUNCT
ejpam-3953	119	25	.	.	PUNCT
ejpam-3953	120	1	now	now	ADV
ejpam-3953	120	2	,	,	PUNCT
ejpam-3953	120	3	vr	vr	PROPN
ejpam-3953	120	4	,	,	PUNCT
ejpam-3953	120	5	qxgn	qxgn	PROPN
ejpam-3953	120	6	,	,	PUNCT
ejpam-3953	120	7	q(x	q(x	PROPN
ejpam-3953	120	8	,	,	PUNCT
ejpam-3953	120	9	a	a	DET
ejpam-3953	120	10	,	,	PUNCT
ejpam-3953	120	11	r	r	NOUN
ejpam-3953	120	12	,	,	PUNCT
ejpam-3953	120	13	m	m	NOUN
ejpam-3953	120	14	)	)	PUNCT
ejpam-3953	121	1	=	=	SYM
ejpam-3953	121	2	vr	vr	PROPN
ejpam-3953	121	3	,	,	PUNCT
ejpam-3953	121	4	qxv	qxv	ADJ
ejpam-3953	121	5	−1	−1	NOUN
ejpam-3953	121	6	r	r	NOUN
ejpam-3953	121	7	,	,	PUNCT
ejpam-3953	121	8	q	q	NOUN
ejpam-3953	121	9	pn	pn	PROPN
ejpam-3953	121	10	,	,	PUNCT
ejpam-3953	121	11	q(x	q(x	PROPN
ejpam-3953	121	12	,	,	PUNCT
ejpam-3953	121	13	a	a	PRON
ejpam-3953	121	14	)	)	PUNCT
ejpam-3953	121	15	.	.	PUNCT
ejpam-3953	122	1	applying	apply	VERB
ejpam-3953	122	2	the	the	DET
ejpam-3953	122	3	operator	operator	NOUN
ejpam-3953	122	4	to	to	PART
ejpam-3953	122	5	pn	pn	PROPN
ejpam-3953	122	6	,	,	PUNCT
ejpam-3953	122	7	q(x	q(x	PROPN
ejpam-3953	122	8	,	,	PUNCT
ejpam-3953	122	9	a	a	PRON
ejpam-3953	122	10	)	)	PUNCT
ejpam-3953	122	11	,	,	PUNCT
ejpam-3953	122	12	we	we	PRON
ejpam-3953	122	13	get	get	VERB
ejpam-3953	122	14	vr	vr	PROPN
ejpam-3953	122	15	,	,	PUNCT
ejpam-3953	122	16	qxgn	qxgn	PROPN
ejpam-3953	122	17	,	,	PUNCT
ejpam-3953	122	18	q(x	q(x	PROPN
ejpam-3953	122	19	,	,	PUNCT
ejpam-3953	122	20	a	a	DET
ejpam-3953	122	21	,	,	PUNCT
ejpam-3953	122	22	r	r	NOUN
ejpam-3953	122	23	,	,	PUNCT
ejpam-3953	122	24	m	m	NOUN
ejpam-3953	122	25	)	)	PUNCT
ejpam-3953	123	1	=	=	SYM
ejpam-3953	123	2	vr	vr	PROPN
ejpam-3953	123	3	,	,	PUNCT
ejpam-3953	123	4	qxv	qxv	ADJ
ejpam-3953	123	5	−1	−1	NOUN
ejpam-3953	123	6	r	r	NOUN
ejpam-3953	123	7	,	,	PUNCT
ejpam-3953	123	8	q	q	NOUN
ejpam-3953	123	9	pn	pn	PROPN
ejpam-3953	123	10	,	,	PUNCT
ejpam-3953	123	11	q(x	q(x	PROPN
ejpam-3953	123	12	,	,	PUNCT
ejpam-3953	123	13	a	a	PRON
ejpam-3953	123	14	)	)	PUNCT
ejpam-3953	123	15	=	=	SYM
ejpam-3953	123	16	qrxpn	qrxpn	PROPN
ejpam-3953	123	17	,	,	PUNCT
ejpam-3953	123	18	q(x	q(x	PROPN
ejpam-3953	123	19	,	,	PUNCT
ejpam-3953	123	20	a	a	PRON
ejpam-3953	123	21	)	)	PUNCT
ejpam-3953	123	22	+	+	CCONJ
ejpam-3953	123	23	(	(	PUNCT
ejpam-3953	123	24	qm	qm	PROPN
ejpam-3953	123	25	−	−	PROPN
ejpam-3953	123	26	1)qrx2dqmpn	1)qrx2dqmpn	NUM
ejpam-3953	123	27	,	,	PUNCT
ejpam-3953	123	28	q(x	q(x	PROPN
ejpam-3953	123	29	,	,	PUNCT
ejpam-3953	123	30	a	a	PRON
ejpam-3953	123	31	)	)	PUNCT
ejpam-3953	123	32	+	+	CCONJ
ejpam-3953	124	1	[	[	X
ejpam-3953	124	2	r]qpn	r]qpn	ADJ
ejpam-3953	124	3	,	,	PUNCT
ejpam-3953	124	4	q(x	q(x	PROPN
ejpam-3953	124	5	,	,	PUNCT
ejpam-3953	124	6	a	a	PRON
ejpam-3953	124	7	)	)	PUNCT
ejpam-3953	124	8	+	+	CCONJ
ejpam-3953	124	9	qr[m]qxdqmpn	qr[m]qxdqmpn	PROPN
ejpam-3953	124	10	,	,	PUNCT
ejpam-3953	124	11	q(x	q(x	PROPN
ejpam-3953	124	12	,	,	PUNCT
ejpam-3953	124	13	a	a	PRON
ejpam-3953	124	14	)	)	PUNCT
ejpam-3953	124	15	.	.	PUNCT
ejpam-3953	125	1	note	note	VERB
ejpam-3953	125	2	that	that	SCONJ
ejpam-3953	125	3	xpn	xpn	PROPN
ejpam-3953	125	4	,	,	PUNCT
ejpam-3953	125	5	q(x	q(x	PROPN
ejpam-3953	125	6	,	,	PUNCT
ejpam-3953	125	7	a	a	PRON
ejpam-3953	125	8	)	)	PUNCT
ejpam-3953	125	9	=	=	SYM
ejpam-3953	125	10	n∑	n∑	NOUN
ejpam-3953	125	11	k=0	k=0	PROPN
ejpam-3953	125	12	(	(	PUNCT
ejpam-3953	125	13	−a)kq	−a)kq	X
ejpam-3953	125	14	(	(	PUNCT
ejpam-3953	125	15	k	k	NOUN
ejpam-3953	125	16	2	2	X
ejpam-3953	125	17	)	)	PUNCT
ejpam-3953	125	18	[	[	PUNCT
ejpam-3953	125	19	n	n	X
ejpam-3953	125	20	k	k	X
ejpam-3953	125	21	]	]	PUNCT
ejpam-3953	125	22	xn+1−k	xn+1−k	PROPN
ejpam-3953	125	23	=	=	PUNCT
ejpam-3953	126	1	n∑	n∑	PROPN
ejpam-3953	126	2	k=0	k=0	PROPN
ejpam-3953	126	3	(	(	PUNCT
ejpam-3953	126	4	−a)kq	−a)kq	X
ejpam-3953	126	5	(	(	PUNCT
ejpam-3953	126	6	k	k	NOUN
ejpam-3953	126	7	2	2	NUM
ejpam-3953	126	8	)	)	PUNCT
ejpam-3953	126	9	(	(	PUNCT
ejpam-3953	126	10	[	[	PUNCT
ejpam-3953	126	11	n+	n+	ADP
ejpam-3953	126	12	1	1	NUM
ejpam-3953	126	13	k	k	NOUN
ejpam-3953	126	14	]	]	PUNCT
ejpam-3953	126	15	−	−	PROPN
ejpam-3953	126	16	qn+1−k	qn+1−k	NOUN
ejpam-3953	126	17	[	[	PUNCT
ejpam-3953	126	18	n	n	X
ejpam-3953	126	19	k	k	NOUN
ejpam-3953	126	20	−	−	PROPN
ejpam-3953	126	21	1	1	NUM
ejpam-3953	126	22	]	]	PUNCT
ejpam-3953	126	23	)	)	PUNCT
ejpam-3953	126	24	xn+1−k	xn+1−k	PROPN
ejpam-3953	126	25	r.	r.	PROPN
ejpam-3953	126	26	corcino	corcino	PROPN
ejpam-3953	126	27	/	/	SYM
ejpam-3953	126	28	eur	eur	PROPN
ejpam-3953	126	29	.	.	PUNCT
ejpam-3953	127	1	j.	j.	PROPN
ejpam-3953	127	2	pure	pure	PROPN
ejpam-3953	127	3	appl	appl	PROPN
ejpam-3953	127	4	.	.	PROPN
ejpam-3953	127	5	math	math	PROPN
ejpam-3953	127	6	,	,	PUNCT
ejpam-3953	127	7	14	14	NUM
ejpam-3953	127	8	(	(	PUNCT
ejpam-3953	127	9	3	3	NUM
ejpam-3953	127	10	)	)	PUNCT
ejpam-3953	127	11	(	(	PUNCT
ejpam-3953	127	12	2021	2021	NUM
ejpam-3953	127	13	)	)	PUNCT
ejpam-3953	127	14	,	,	PUNCT
ejpam-3953	127	15	746	746	NUM
ejpam-3953	127	16	-	-	SYM
ejpam-3953	127	17	759	759	NUM
ejpam-3953	127	18	752	752	NUM
ejpam-3953	127	19	=	=	SYM
ejpam-3953	127	20	n∑	n∑	PROPN
ejpam-3953	127	21	k=0	k=0	PROPN
ejpam-3953	127	22	(	(	PUNCT
ejpam-3953	127	23	−a)kq	−a)kq	X
ejpam-3953	127	24	(	(	PUNCT
ejpam-3953	127	25	k	k	NOUN
ejpam-3953	127	26	2	2	X
ejpam-3953	127	27	)	)	PUNCT
ejpam-3953	127	28	[	[	PUNCT
ejpam-3953	127	29	n+	n+	ADP
ejpam-3953	127	30	1	1	NUM
ejpam-3953	127	31	k	k	X
ejpam-3953	127	32	]	]	PUNCT
ejpam-3953	127	33	xn+1−k	xn+1−k	PROPN
ejpam-3953	127	34	−	−	PROPN
ejpam-3953	127	35	n∑	n∑	PROPN
ejpam-3953	127	36	k=0	k=0	PROPN
ejpam-3953	127	37	(	(	PUNCT
ejpam-3953	127	38	−a)kq	−a)kq	X
ejpam-3953	127	39	(	(	PUNCT
ejpam-3953	127	40	k	k	PROPN
ejpam-3953	127	41	2)qn+1−k	2)qn+1−k	NUM
ejpam-3953	127	42	[	[	PUNCT
ejpam-3953	127	43	n	n	X
ejpam-3953	127	44	k	k	NOUN
ejpam-3953	127	45	−	−	PROPN
ejpam-3953	127	46	1	1	NUM
ejpam-3953	127	47	]	]	PUNCT
ejpam-3953	127	48	xn+1−k	xn+1−k	X
ejpam-3953	127	49	+	+	CCONJ
ejpam-3953	127	50	(	(	PUNCT
ejpam-3953	127	51	−a)n+1q	−a)n+1q	NOUN
ejpam-3953	127	52	(	(	PUNCT
ejpam-3953	127	53	n+1	n+1	PROPN
ejpam-3953	127	54	2	2	NUM
ejpam-3953	127	55	)	)	PUNCT
ejpam-3953	127	56	−	−	PROPN
ejpam-3953	127	57	(	(	PUNCT
ejpam-3953	127	58	−a)n+1q	−a)n+1q	PROPN
ejpam-3953	127	59	(	(	PUNCT
ejpam-3953	127	60	n+1	n+1	PROPN
ejpam-3953	127	61	2	2	NUM
ejpam-3953	127	62	)	)	PUNCT
ejpam-3953	127	63	.	.	PUNCT
ejpam-3953	128	1	xpn	xpn	PROPN
ejpam-3953	128	2	,	,	PUNCT
ejpam-3953	128	3	q(x	q(x	PROPN
ejpam-3953	128	4	,	,	PUNCT
ejpam-3953	128	5	a	a	PRON
ejpam-3953	128	6	)	)	PUNCT
ejpam-3953	128	7	=	=	SYM
ejpam-3953	128	8	n+1∑	n+1∑	ADJ
ejpam-3953	128	9	k=0	k=0	PROPN
ejpam-3953	128	10	(	(	PUNCT
ejpam-3953	128	11	−a)kq	−a)kq	X
ejpam-3953	128	12	(	(	PUNCT
ejpam-3953	128	13	k	k	NOUN
ejpam-3953	128	14	2	2	X
ejpam-3953	128	15	)	)	PUNCT
ejpam-3953	128	16	[	[	PUNCT
ejpam-3953	128	17	n+	n+	ADP
ejpam-3953	128	18	1	1	NUM
ejpam-3953	128	19	k	k	X
ejpam-3953	128	20	]	]	PUNCT
ejpam-3953	128	21	xn+1−k	xn+1−k	PROPN
ejpam-3953	128	22	−	−	PROPN
ejpam-3953	128	23	n−1∑	n−1∑	PROPN
ejpam-3953	128	24	k=−1	k=−1	ADP
ejpam-3953	128	25	(	(	PUNCT
ejpam-3953	128	26	−a)k+1q	−a)k+1q	NOUN
ejpam-3953	128	27	(	(	PUNCT
ejpam-3953	128	28	k+1	k+1	X
ejpam-3953	128	29	2	2	NUM
ejpam-3953	128	30	)	)	PUNCT
ejpam-3953	128	31	qn−k	qn−k	NOUN
ejpam-3953	128	32	[	[	PUNCT
ejpam-3953	128	33	n	n	X
ejpam-3953	128	34	k	k	PROPN
ejpam-3953	128	35	]	]	PUNCT
ejpam-3953	128	36	xn−k	xn−k	PROPN
ejpam-3953	129	1	−	−	PROPN
ejpam-3953	129	2	(	(	PUNCT
ejpam-3953	129	3	−a)n+1q	−a)n+1q	PROPN
ejpam-3953	129	4	(	(	PUNCT
ejpam-3953	129	5	n+1	n+1	PROPN
ejpam-3953	129	6	2	2	NUM
ejpam-3953	129	7	)	)	PUNCT
ejpam-3953	129	8	=	=	SYM
ejpam-3953	129	9	pn+1,q(x	pn+1,q(x	NOUN
ejpam-3953	129	10	,	,	PUNCT
ejpam-3953	129	11	a)−	a)−	PROPN
ejpam-3953	129	12	n−1∑	n−1∑	NUM
ejpam-3953	129	13	k=0	k=0	PROPN
ejpam-3953	129	14	(	(	PUNCT
ejpam-3953	129	15	−a)k+1q	−a)k+1q	NOUN
ejpam-3953	129	16	(	(	PUNCT
ejpam-3953	129	17	k+1	k+1	X
ejpam-3953	129	18	2	2	NUM
ejpam-3953	129	19	)	)	PUNCT
ejpam-3953	130	1	+	+	NOUN
ejpam-3953	130	2	n−k	n−k	NOUN
ejpam-3953	130	3	[	[	PUNCT
ejpam-3953	130	4	n	n	X
ejpam-3953	130	5	k	k	PROPN
ejpam-3953	130	6	]	]	PUNCT
ejpam-3953	130	7	xn−k	xn−k	PROPN
ejpam-3953	130	8	−	−	PROPN
ejpam-3953	130	9	(	(	PUNCT
ejpam-3953	130	10	−a)n+1q	−a)n+1q	PROPN
ejpam-3953	130	11	(	(	PUNCT
ejpam-3953	130	12	n+1	n+1	PROPN
ejpam-3953	130	13	2	2	NUM
ejpam-3953	130	14	)	)	PUNCT
ejpam-3953	130	15	=	=	SYM
ejpam-3953	130	16	pn+1,q(x	pn+1,q(x	NOUN
ejpam-3953	130	17	,	,	PUNCT
ejpam-3953	130	18	a)−	a)−	PROPN
ejpam-3953	130	19	n∑	n∑	NOUN
ejpam-3953	130	20	k=0	k=0	PROPN
ejpam-3953	130	21	(	(	PUNCT
ejpam-3953	130	22	−a)k+1q	−a)k+1q	NOUN
ejpam-3953	130	23	(	(	PUNCT
ejpam-3953	130	24	k+1	k+1	X
ejpam-3953	130	25	2	2	NUM
ejpam-3953	130	26	)	)	PUNCT
ejpam-3953	131	1	+	+	NOUN
ejpam-3953	131	2	n−k	n−k	NOUN
ejpam-3953	131	3	[	[	PUNCT
ejpam-3953	131	4	n	n	X
ejpam-3953	131	5	k	k	PROPN
ejpam-3953	131	6	]	]	PUNCT
ejpam-3953	131	7	xn−k	xn−k	PROPN
ejpam-3953	131	8	=	=	SYM
ejpam-3953	131	9	pn+1,q(x	pn+1,q(x	PROPN
ejpam-3953	131	10	,	,	PUNCT
ejpam-3953	131	11	a	a	PRON
ejpam-3953	131	12	)	)	PUNCT
ejpam-3953	131	13	+	+	NUM
ejpam-3953	131	14	aqn	aqn	ADJ
ejpam-3953	131	15	n∑	n∑	PROPN
ejpam-3953	131	16	k=0	k=0	PROPN
ejpam-3953	131	17	(	(	PUNCT
ejpam-3953	131	18	−a)kq	−a)kq	X
ejpam-3953	131	19	(	(	PUNCT
ejpam-3953	131	20	k	k	NOUN
ejpam-3953	131	21	2	2	X
ejpam-3953	131	22	)	)	PUNCT
ejpam-3953	131	23	[	[	PUNCT
ejpam-3953	131	24	n	n	X
ejpam-3953	131	25	k	k	X
ejpam-3953	131	26	]	]	PUNCT
ejpam-3953	131	27	xn−k	xn−k	PROPN
ejpam-3953	131	28	=	=	SYM
ejpam-3953	131	29	pn+1,q(x	pn+1,q(x	PROPN
ejpam-3953	131	30	,	,	PUNCT
ejpam-3953	131	31	a	a	PRON
ejpam-3953	131	32	)	)	PUNCT
ejpam-3953	131	33	+	+	NUM
ejpam-3953	131	34	aqnpn	aqnpn	NOUN
ejpam-3953	131	35	,	,	PUNCT
ejpam-3953	131	36	q(x	q(x	PROPN
ejpam-3953	131	37	,	,	PUNCT
ejpam-3953	131	38	a	a	PRON
ejpam-3953	131	39	)	)	PUNCT
ejpam-3953	131	40	.	.	PUNCT
ejpam-3953	132	1	so	so	ADV
ejpam-3953	132	2	,	,	PUNCT
ejpam-3953	132	3	qrxpn	qrxpn	NOUN
ejpam-3953	132	4	,	,	PUNCT
ejpam-3953	132	5	q(x	q(x	PROPN
ejpam-3953	132	6	,	,	PUNCT
ejpam-3953	132	7	a	a	PRON
ejpam-3953	132	8	)	)	PUNCT
ejpam-3953	132	9	=	=	SYM
ejpam-3953	132	10	qrpn+1,q(x	qrpn+1,q(x	PROPN
ejpam-3953	132	11	,	,	PUNCT
ejpam-3953	132	12	a	a	PRON
ejpam-3953	132	13	)	)	PUNCT
ejpam-3953	133	1	+	+	CCONJ
ejpam-3953	133	2	aqn+rpn	aqn+rpn	PROPN
ejpam-3953	133	3	,	,	PUNCT
ejpam-3953	133	4	q(x	q(x	PROPN
ejpam-3953	133	5	,	,	PUNCT
ejpam-3953	133	6	a	a	PRON
ejpam-3953	133	7	)	)	PUNCT
ejpam-3953	133	8	.	.	PUNCT
ejpam-3953	134	1	with	with	ADP
ejpam-3953	134	2	dqpn	dqpn	NOUN
ejpam-3953	134	3	,	,	PUNCT
ejpam-3953	134	4	q(x	q(x	PROPN
ejpam-3953	134	5	,	,	PUNCT
ejpam-3953	134	6	a	a	PRON
ejpam-3953	134	7	)	)	PUNCT
ejpam-3953	134	8	=	=	NOUN
ejpam-3953	135	1	[	[	X
ejpam-3953	135	2	n]qpn−1,q(x	n]qpn−1,q(x	X
ejpam-3953	135	3	,	,	PUNCT
ejpam-3953	135	4	a	a	PRON
ejpam-3953	135	5	)	)	PUNCT
ejpam-3953	135	6	,	,	PUNCT
ejpam-3953	135	7	we	we	PRON
ejpam-3953	135	8	have	have	VERB
ejpam-3953	135	9	dqmpn	dqmpn	NOUN
ejpam-3953	135	10	,	,	PUNCT
ejpam-3953	135	11	q(x	q(x	PROPN
ejpam-3953	135	12	,	,	PUNCT
ejpam-3953	135	13	a	a	PRON
ejpam-3953	135	14	)	)	PUNCT
ejpam-3953	135	15	=	=	NOUN
ejpam-3953	136	1	[	[	X
ejpam-3953	136	2	n]qmpn−1,q(x	n]qmpn−1,q(x	PROPN
ejpam-3953	136	3	,	,	PUNCT
ejpam-3953	136	4	a	a	PRON
ejpam-3953	136	5	)	)	PUNCT
ejpam-3953	136	6	.	.	PUNCT
ejpam-3953	137	1	hence	hence	ADV
ejpam-3953	137	2	,	,	PUNCT
ejpam-3953	137	3	(	(	PUNCT
ejpam-3953	137	4	qm	qm	PROPN
ejpam-3953	137	5	−	−	PROPN
ejpam-3953	137	6	1)qrx2dqmpn	1)qrx2dqmpn	NUM
ejpam-3953	137	7	,	,	PUNCT
ejpam-3953	137	8	q(x	q(x	PROPN
ejpam-3953	137	9	,	,	PUNCT
ejpam-3953	137	10	a	a	PRON
ejpam-3953	137	11	)	)	PUNCT
ejpam-3953	137	12	=	=	SYM
ejpam-3953	137	13	(	(	PUNCT
ejpam-3953	137	14	qm	qm	PROPN
ejpam-3953	137	15	−	−	PROPN
ejpam-3953	137	16	1)qrx2[n]qmpn−1,q(x	1)qrx2[n]qmpn−1,q(x	NUM
ejpam-3953	137	17	,	,	PUNCT
ejpam-3953	137	18	a	a	PRON
ejpam-3953	137	19	)	)	PUNCT
ejpam-3953	137	20	=	=	SYM
ejpam-3953	137	21	(	(	PUNCT
ejpam-3953	137	22	qmn	qmn	NOUN
ejpam-3953	137	23	−	−	PROPN
ejpam-3953	137	24	1)qrx2pn−1,q(x	1)qrx2pn−1,q(x	NUM
ejpam-3953	137	25	,	,	PUNCT
ejpam-3953	137	26	a	a	PRON
ejpam-3953	137	27	)	)	PUNCT
ejpam-3953	137	28	and	and	CCONJ
ejpam-3953	137	29	qr[m]qxdqmpn	qr[m]qxdqmpn	PROPN
ejpam-3953	137	30	,	,	PUNCT
ejpam-3953	137	31	q(x	q(x	PROPN
ejpam-3953	137	32	,	,	PUNCT
ejpam-3953	137	33	a	a	PRON
ejpam-3953	137	34	)	)	PUNCT
ejpam-3953	137	35	=	=	SYM
ejpam-3953	137	36	qr[m]qx[n]qmpn−1,q(x	qr[m]qx[n]qmpn−1,q(x	PROPN
ejpam-3953	137	37	,	,	PUNCT
ejpam-3953	137	38	a	a	PRON
ejpam-3953	137	39	)	)	PUNCT
ejpam-3953	137	40	thus	thus	ADV
ejpam-3953	137	41	,	,	PUNCT
ejpam-3953	137	42	vr	vr	PROPN
ejpam-3953	137	43	,	,	PUNCT
ejpam-3953	137	44	qxgn	qxgn	PROPN
ejpam-3953	137	45	,	,	PUNCT
ejpam-3953	137	46	q(x	q(x	PROPN
ejpam-3953	137	47	,	,	PUNCT
ejpam-3953	137	48	a	a	DET
ejpam-3953	137	49	,	,	PUNCT
ejpam-3953	137	50	r	r	NOUN
ejpam-3953	137	51	,	,	PUNCT
ejpam-3953	137	52	m	m	NOUN
ejpam-3953	137	53	)	)	PUNCT
ejpam-3953	137	54	=	=	SYM
ejpam-3953	137	55	vr	vr	PROPN
ejpam-3953	137	56	,	,	PUNCT
ejpam-3953	137	57	qxv	qxv	ADJ
ejpam-3953	137	58	−1	−1	NOUN
ejpam-3953	137	59	r	r	NOUN
ejpam-3953	137	60	,	,	PUNCT
ejpam-3953	137	61	q	q	NOUN
ejpam-3953	137	62	pn	pn	PROPN
ejpam-3953	137	63	,	,	PUNCT
ejpam-3953	137	64	q(x	q(x	PROPN
ejpam-3953	137	65	,	,	PUNCT
ejpam-3953	137	66	a	a	PRON
ejpam-3953	137	67	)	)	PUNCT
ejpam-3953	137	68	=	=	SYM
ejpam-3953	137	69	qrpn+1,q(x	qrpn+1,q(x	PROPN
ejpam-3953	137	70	,	,	PUNCT
ejpam-3953	137	71	a	a	PRON
ejpam-3953	137	72	)	)	PUNCT
ejpam-3953	138	1	+	+	CCONJ
ejpam-3953	138	2	aqn+rpn	aqn+rpn	PROPN
ejpam-3953	138	3	,	,	PUNCT
ejpam-3953	138	4	q(x	q(x	PROPN
ejpam-3953	138	5	,	,	PUNCT
ejpam-3953	138	6	a	a	PRON
ejpam-3953	138	7	)	)	PUNCT
ejpam-3953	138	8	+	+	CCONJ
ejpam-3953	139	1	[	[	X
ejpam-3953	139	2	r]qpn	r]qpn	ADJ
ejpam-3953	139	3	,	,	PUNCT
ejpam-3953	139	4	q(x	q(x	PROPN
ejpam-3953	139	5	,	,	PUNCT
ejpam-3953	139	6	a	a	PRON
ejpam-3953	139	7	)	)	PUNCT
ejpam-3953	139	8	+	+	CCONJ
ejpam-3953	139	9	(	(	PUNCT
ejpam-3953	139	10	qmn	qmn	NOUN
ejpam-3953	139	11	−	−	PROPN
ejpam-3953	139	12	1)qrx2pn−1,q(x	1)qrx2pn−1,q(x	NUM
ejpam-3953	139	13	,	,	PUNCT
ejpam-3953	139	14	a	a	PRON
ejpam-3953	139	15	)	)	PUNCT
ejpam-3953	139	16	+	+	CCONJ
ejpam-3953	139	17	qr[m]qx[n]qmpn−1,q(x	qr[m]qx[n]qmpn−1,q(x	PROPN
ejpam-3953	139	18	,	,	PUNCT
ejpam-3953	139	19	a	a	NOUN
ejpam-3953	139	20	)	)	PUNCT
ejpam-3953	139	21	=	=	SYM
ejpam-3953	139	22	qr(pn+1,q(x	qr(pn+1,q(x	PROPN
ejpam-3953	139	23	,	,	PUNCT
ejpam-3953	139	24	a	a	PRON
ejpam-3953	139	25	)	)	PUNCT
ejpam-3953	139	26	+	+	NUM
ejpam-3953	139	27	qnapn	qnapn	NOUN
ejpam-3953	139	28	,	,	PUNCT
ejpam-3953	139	29	q(x	q(x	PROPN
ejpam-3953	139	30	,	,	PUNCT
ejpam-3953	139	31	a	a	PRON
ejpam-3953	139	32	)	)	PUNCT
ejpam-3953	139	33	)	)	PUNCT
ejpam-3953	140	1	+	+	CCONJ
ejpam-3953	140	2	qrpn+1,q(x	qrpn+1,q(x	PROPN
ejpam-3953	140	3	,	,	PUNCT
ejpam-3953	140	4	a	a	PRON
ejpam-3953	140	5	)	)	PUNCT
ejpam-3953	140	6	+	+	CCONJ
ejpam-3953	140	7	aqn+rpn	aqn+rpn	PROPN
ejpam-3953	140	8	,	,	PUNCT
ejpam-3953	140	9	q(x	q(x	PROPN
ejpam-3953	140	10	,	,	PUNCT
ejpam-3953	140	11	a	a	PRON
ejpam-3953	140	12	)	)	PUNCT
ejpam-3953	140	13	+	+	CCONJ
ejpam-3953	141	1	[	[	X
ejpam-3953	141	2	r]qpn	r]qpn	ADJ
ejpam-3953	141	3	,	,	PUNCT
ejpam-3953	141	4	q(x	q(x	PROPN
ejpam-3953	141	5	,	,	PUNCT
ejpam-3953	141	6	a	a	PRON
ejpam-3953	141	7	)	)	PUNCT
ejpam-3953	141	8	+	+	CCONJ
ejpam-3953	141	9	(	(	PUNCT
ejpam-3953	141	10	qmn	qmn	NOUN
ejpam-3953	141	11	−	−	PROPN
ejpam-3953	141	12	1)qr[pn+1,q(x	1)qr[pn+1,q(x	NUM
ejpam-3953	141	13	,	,	PUNCT
ejpam-3953	141	14	a	a	PRON
ejpam-3953	141	15	)	)	PUNCT
ejpam-3953	141	16	+	+	CCONJ
ejpam-3953	141	17	(	(	PUNCT
ejpam-3953	141	18	qna+	qna+	NOUN
ejpam-3953	141	19	qn−1a)pn	qn−1a)pn	NOUN
ejpam-3953	141	20	,	,	PUNCT
ejpam-3953	141	21	q(x	q(x	PROPN
ejpam-3953	141	22	,	,	PUNCT
ejpam-3953	141	23	a	a	PRON
ejpam-3953	141	24	)	)	PUNCT
ejpam-3953	141	25	+	+	NUM
ejpam-3953	141	26	q2n−2a2pn−1,a(x	q2n−2a2pn−1,a(x	NOUN
ejpam-3953	141	27	,	,	PUNCT
ejpam-3953	141	28	a	a	PRON
ejpam-3953	141	29	)	)	PUNCT
ejpam-3953	141	30	]	]	PUNCT
ejpam-3953	141	31	+	+	CCONJ
ejpam-3953	141	32	qr[m]q[n]qm(pn	qr[m]q[n]qm(pn	ADJ
ejpam-3953	141	33	,	,	PUNCT
ejpam-3953	141	34	q(x	q(x	NOUN
ejpam-3953	141	35	,	,	PUNCT
ejpam-3953	141	36	a	a	PRON
ejpam-3953	141	37	)	)	PUNCT
ejpam-3953	141	38	+	+	CCONJ
ejpam-3953	141	39	qn−1apn−1,q(x	qn−1apn−1,q(x	PROPN
ejpam-3953	141	40	,	,	PUNCT
ejpam-3953	141	41	a	a	PRON
ejpam-3953	141	42	)	)	PUNCT
ejpam-3953	141	43	=	=	SYM
ejpam-3953	141	44	qr(2	qr(2	PROPN
ejpam-3953	141	45	+	+	CCONJ
ejpam-3953	141	46	(	(	PUNCT
ejpam-3953	141	47	qmn	qmn	NOUN
ejpam-3953	141	48	−	−	PROPN
ejpam-3953	141	49	1))pn+1,q(x	1))pn+1,q(x	NUM
ejpam-3953	141	50	,	,	PUNCT
ejpam-3953	141	51	a	a	PRON
ejpam-3953	141	52	)	)	PUNCT
ejpam-3953	141	53	+	+	CCONJ
ejpam-3953	141	54	(	(	PUNCT
ejpam-3953	141	55	qn+ra+	qn+ra+	NOUN
ejpam-3953	141	56	aqn+r	aqn+r	PROPN
ejpam-3953	141	57	+	+	PUNCT
ejpam-3953	142	1	[	[	X
ejpam-3953	142	2	r]q	r]q	NOUN
ejpam-3953	142	3	+	+	CCONJ
ejpam-3953	142	4	(	(	PUNCT
ejpam-3953	142	5	qmn	qmn	NOUN
ejpam-3953	142	6	−	−	PROPN
ejpam-3953	142	7	1)qr(qna+	1)qr(qna+	NOUN
ejpam-3953	142	8	qn−1a	qn−1a	PUNCT
ejpam-3953	142	9	)	)	PUNCT
ejpam-3953	142	10	+	+	CCONJ
ejpam-3953	142	11	qr[m]q[n]qm)pn	qr[m]q[n]qm)pn	NOUN
ejpam-3953	142	12	,	,	PUNCT
ejpam-3953	142	13	q(x	q(x	PROPN
ejpam-3953	142	14	,	,	PUNCT
ejpam-3953	142	15	a	a	PRON
ejpam-3953	142	16	)	)	PUNCT
ejpam-3953	142	17	r.	r.	PROPN
ejpam-3953	142	18	corcino	corcino	PROPN
ejpam-3953	142	19	/	/	SYM
ejpam-3953	142	20	eur	eur	PROPN
ejpam-3953	142	21	.	.	PUNCT
ejpam-3953	143	1	j.	j.	PROPN
ejpam-3953	143	2	pure	pure	PROPN
ejpam-3953	143	3	appl	appl	PROPN
ejpam-3953	143	4	.	.	PROPN
ejpam-3953	143	5	math	math	PROPN
ejpam-3953	143	6	,	,	PUNCT
ejpam-3953	143	7	14	14	NUM
ejpam-3953	143	8	(	(	PUNCT
ejpam-3953	143	9	3	3	NUM
ejpam-3953	143	10	)	)	PUNCT
ejpam-3953	143	11	(	(	PUNCT
ejpam-3953	143	12	2021	2021	NUM
ejpam-3953	143	13	)	)	PUNCT
ejpam-3953	143	14	,	,	PUNCT
ejpam-3953	143	15	746	746	NUM
ejpam-3953	143	16	-	-	SYM
ejpam-3953	143	17	759	759	NUM
ejpam-3953	143	18	753	753	NUM
ejpam-3953	143	19	+	+	CCONJ
ejpam-3953	143	20	(	(	PUNCT
ejpam-3953	143	21	(	(	PUNCT
ejpam-3953	143	22	qmn	qmn	NOUN
ejpam-3953	143	23	−	−	PROPN
ejpam-3953	143	24	1)qrq2n−2a2	1)qrq2n−2a2	PROPN
ejpam-3953	143	25	+	+	CCONJ
ejpam-3953	143	26	qr[m]q[n]qmq	qr[m]q[n]qmq	ADJ
ejpam-3953	143	27	n−1a)pn−1,q(x	n−1a)pn−1,q(x	PROPN
ejpam-3953	143	28	,	,	PUNCT
ejpam-3953	143	29	a	a	PRON
ejpam-3953	143	30	)	)	PUNCT
ejpam-3953	143	31	applying	apply	VERB
ejpam-3953	143	32	the	the	DET
ejpam-3953	143	33	operator	operator	NOUN
ejpam-3953	143	34	v	v	ADP
ejpam-3953	143	35	−1r	−1r	PROPN
ejpam-3953	143	36	,	,	PUNCT
ejpam-3953	143	37	q	q	NOUN
ejpam-3953	143	38	:	:	PUNCT
ejpam-3953	143	39	pn	pn	PROPN
ejpam-3953	143	40	,	,	PUNCT
ejpam-3953	143	41	q(x	q(x	PROPN
ejpam-3953	143	42	,	,	PUNCT
ejpam-3953	143	43	a	a	DET
ejpam-3953	143	44	)	)	PUNCT
ejpam-3953	143	45	7→	7→	NUM
ejpam-3953	143	46	gn	gn	PROPN
ejpam-3953	143	47	,	,	PUNCT
ejpam-3953	143	48	q(x	q(x	PROPN
ejpam-3953	143	49	,	,	PUNCT
ejpam-3953	143	50	a	a	DET
ejpam-3953	143	51	,	,	PUNCT
ejpam-3953	143	52	r	r	NOUN
ejpam-3953	143	53	,	,	PUNCT
ejpam-3953	143	54	m	m	NOUN
ejpam-3953	143	55	)	)	PUNCT
ejpam-3953	143	56	,	,	PUNCT
ejpam-3953	143	57	then	then	ADV
ejpam-3953	143	58	xgn	xgn	PROPN
ejpam-3953	143	59	,	,	PUNCT
ejpam-3953	143	60	q(x	q(x	PROPN
ejpam-3953	143	61	,	,	PUNCT
ejpam-3953	143	62	a	a	DET
ejpam-3953	143	63	,	,	PUNCT
ejpam-3953	143	64	r	r	NOUN
ejpam-3953	143	65	,	,	PUNCT
ejpam-3953	143	66	m	m	NOUN
ejpam-3953	143	67	)	)	PUNCT
ejpam-3953	143	68	=	=	PUNCT
ejpam-3953	144	1	qr(2	qr(2	PROPN
ejpam-3953	144	2	+	+	CCONJ
ejpam-3953	144	3	(	(	PUNCT
ejpam-3953	144	4	qmn	qmn	NOUN
ejpam-3953	144	5	−	−	PROPN
ejpam-3953	144	6	1))gn+1,q(x	1))gn+1,q(x	NUM
ejpam-3953	144	7	,	,	PUNCT
ejpam-3953	144	8	a	a	PRON
ejpam-3953	144	9	,	,	PUNCT
ejpam-3953	144	10	r	r	NOUN
ejpam-3953	144	11	,	,	PUNCT
ejpam-3953	144	12	m	m	NOUN
ejpam-3953	144	13	)	)	PUNCT
ejpam-3953	145	1	+	+	CCONJ
ejpam-3953	145	2	(	(	PUNCT
ejpam-3953	145	3	2qn+ra+	2qn+ra+	NUM
ejpam-3953	146	1	[	[	X
ejpam-3953	146	2	r]q	r]q	NOUN
ejpam-3953	146	3	+	+	CCONJ
ejpam-3953	146	4	(	(	PUNCT
ejpam-3953	146	5	qmn	qmn	NOUN
ejpam-3953	146	6	−	−	PROPN
ejpam-3953	146	7	1)qr(qna+	1)qr(qna+	NOUN
ejpam-3953	146	8	qn−1a	qn−1a	NUM
ejpam-3953	146	9	)	)	PUNCT
ejpam-3953	146	10	+	+	CCONJ
ejpam-3953	146	11	qr[m]q[n]qm)gn	qr[m]q[n]qm)gn	NOUN
ejpam-3953	146	12	,	,	PUNCT
ejpam-3953	146	13	q(x	q(x	NOUN
ejpam-3953	146	14	,	,	PUNCT
ejpam-3953	146	15	a	a	PRON
ejpam-3953	146	16	,	,	PUNCT
ejpam-3953	146	17	r	r	NOUN
ejpam-3953	146	18	,	,	PUNCT
ejpam-3953	146	19	m	m	NOUN
ejpam-3953	146	20	)	)	PUNCT
ejpam-3953	146	21	+	+	CCONJ
ejpam-3953	146	22	(	(	PUNCT
ejpam-3953	146	23	(	(	PUNCT
ejpam-3953	146	24	qmn	qmn	NOUN
ejpam-3953	146	25	−	−	PROPN
ejpam-3953	146	26	1)qrq2n−2a2	1)qrq2n−2a2	PROPN
ejpam-3953	147	1	+	+	CCONJ
ejpam-3953	147	2	qr[m]q[n]qmq	qr[m]q[n]qmq	ADJ
ejpam-3953	147	3	n−1a)gn−1,q(x	n−1a)gn−1,q(x	PROPN
ejpam-3953	147	4	,	,	PUNCT
ejpam-3953	147	5	a	a	PRON
ejpam-3953	147	6	,	,	PUNCT
ejpam-3953	147	7	r	r	NOUN
ejpam-3953	147	8	,	,	PUNCT
ejpam-3953	147	9	m	m	NOUN
ejpam-3953	147	10	)	)	PUNCT
ejpam-3953	147	11	we	we	PRON
ejpam-3953	147	12	set	set	VERB
ejpam-3953	147	13	hn	hn	PRON
ejpam-3953	147	14	,	,	PUNCT
ejpam-3953	147	15	q(x	q(x	PROPN
ejpam-3953	147	16	,	,	PUNCT
ejpam-3953	147	17	a	a	DET
ejpam-3953	147	18	,	,	PUNCT
ejpam-3953	147	19	r	r	NOUN
ejpam-3953	147	20	,	,	PUNCT
ejpam-3953	147	21	m	m	NOUN
ejpam-3953	147	22	)	)	PUNCT
ejpam-3953	147	23	=	=	SYM
ejpam-3953	148	1	qm(n2)+rngn	qm(n2)+rngn	NOUN
ejpam-3953	148	2	,	,	PUNCT
ejpam-3953	148	3	q(x	q(x	PROPN
ejpam-3953	148	4	,	,	PUNCT
ejpam-3953	148	5	a	a	PRON
ejpam-3953	148	6	,	,	PUNCT
ejpam-3953	148	7	r	r	NOUN
ejpam-3953	148	8	,	,	PUNCT
ejpam-3953	148	9	m	m	NOUN
ejpam-3953	148	10	)	)	PUNCT
ejpam-3953	148	11	.	.	PUNCT
ejpam-3953	149	1	that	that	PRON
ejpam-3953	149	2	is	be	AUX
ejpam-3953	149	3	,	,	PUNCT
ejpam-3953	149	4	gn	gn	PROPN
ejpam-3953	149	5	,	,	PUNCT
ejpam-3953	149	6	q(x	q(x	PROPN
ejpam-3953	149	7	,	,	PUNCT
ejpam-3953	149	8	a	a	DET
ejpam-3953	149	9	,	,	PUNCT
ejpam-3953	149	10	r	r	NOUN
ejpam-3953	149	11	,	,	PUNCT
ejpam-3953	149	12	m	m	NOUN
ejpam-3953	149	13	)	)	PUNCT
ejpam-3953	149	14	=	=	SYM
ejpam-3953	150	1	q−m(n2)−rnhn	q−m(n2)−rnhn	NOUN
ejpam-3953	150	2	,	,	PUNCT
ejpam-3953	150	3	q(x	q(x	PROPN
ejpam-3953	150	4	,	,	PUNCT
ejpam-3953	150	5	a	a	PRON
ejpam-3953	150	6	,	,	PUNCT
ejpam-3953	150	7	r	r	NOUN
ejpam-3953	150	8	,	,	PUNCT
ejpam-3953	150	9	m	m	NOUN
ejpam-3953	150	10	)	)	PUNCT
ejpam-3953	150	11	.	.	PUNCT
ejpam-3953	151	1	then	then	ADV
ejpam-3953	151	2	,	,	PUNCT
ejpam-3953	151	3	xq−m(n2)−rnhn	xq−m(n2)−rnhn	PROPN
ejpam-3953	151	4	,	,	PUNCT
ejpam-3953	151	5	q(x	q(x	PROPN
ejpam-3953	151	6	,	,	PUNCT
ejpam-3953	151	7	a	a	DET
ejpam-3953	151	8	,	,	PUNCT
ejpam-3953	151	9	r	r	NOUN
ejpam-3953	151	10	,	,	PUNCT
ejpam-3953	151	11	m	m	NOUN
ejpam-3953	151	12	)	)	PUNCT
ejpam-3953	151	13	=	=	PUNCT
ejpam-3953	152	1	qr(2	qr(2	PROPN
ejpam-3953	152	2	+	+	CCONJ
ejpam-3953	152	3	(	(	PUNCT
ejpam-3953	152	4	qmn	qmn	NOUN
ejpam-3953	152	5	−	−	PROPN
ejpam-3953	152	6	1))q−m(n+1	1))q−m(n+1	NUM
ejpam-3953	152	7	2	2	NUM
ejpam-3953	152	8	)	)	PUNCT
ejpam-3953	152	9	−r(n+1)hn+1,q(x	−r(n+1)hn+1,q(x	PROPN
ejpam-3953	152	10	,	,	PUNCT
ejpam-3953	152	11	a	a	PRON
ejpam-3953	152	12	,	,	PUNCT
ejpam-3953	152	13	r	r	NOUN
ejpam-3953	152	14	,	,	PUNCT
ejpam-3953	152	15	m	m	NOUN
ejpam-3953	152	16	)	)	PUNCT
ejpam-3953	153	1	+	+	CCONJ
ejpam-3953	153	2	(	(	PUNCT
ejpam-3953	153	3	2qn+ra+	2qn+ra+	NUM
ejpam-3953	154	1	[	[	X
ejpam-3953	154	2	r]q	r]q	NOUN
ejpam-3953	154	3	+	+	CCONJ
ejpam-3953	154	4	(	(	PUNCT
ejpam-3953	154	5	qmn	qmn	NOUN
ejpam-3953	154	6	−	−	PROPN
ejpam-3953	154	7	1)qr(qna+	1)qr(qna+	NOUN
ejpam-3953	154	8	qn−1a	qn−1a	PUNCT
ejpam-3953	154	9	)	)	PUNCT
ejpam-3953	155	1	+	+	CCONJ
ejpam-3953	155	2	qr[m]q[n]qm)q−m(n2)−rnhn	qr[m]q[n]qm)q−m(n2)−rnhn	X
ejpam-3953	155	3	,	,	PUNCT
ejpam-3953	155	4	q(x	q(x	PROPN
ejpam-3953	155	5	,	,	PUNCT
ejpam-3953	155	6	a	a	PRON
ejpam-3953	155	7	,	,	PUNCT
ejpam-3953	155	8	r	r	NOUN
ejpam-3953	155	9	,	,	PUNCT
ejpam-3953	155	10	m	m	NOUN
ejpam-3953	155	11	)	)	PUNCT
ejpam-3953	156	1	+	+	CCONJ
ejpam-3953	156	2	(	(	PUNCT
ejpam-3953	156	3	(	(	PUNCT
ejpam-3953	156	4	qmn	qmn	NOUN
ejpam-3953	156	5	−	−	PROPN
ejpam-3953	156	6	1)qrq2n−2a2	1)qrq2n−2a2	PROPN
ejpam-3953	157	1	+	+	CCONJ
ejpam-3953	157	2	qr[m]q[n]qmq	qr[m]q[n]qmq	ADJ
ejpam-3953	157	3	n−1a)q−m(n−1	n−1a)q−m(n−1	PROPN
ejpam-3953	157	4	2	2	NUM
ejpam-3953	157	5	)	)	PUNCT
ejpam-3953	157	6	−r(n−1)hn−1,q(x	−r(n−1)hn−1,q(x	PROPN
ejpam-3953	157	7	,	,	PUNCT
ejpam-3953	157	8	a	a	PRON
ejpam-3953	157	9	,	,	PUNCT
ejpam-3953	157	10	r	r	NOUN
ejpam-3953	157	11	,	,	PUNCT
ejpam-3953	157	12	m	m	NOUN
ejpam-3953	157	13	)	)	PUNCT
ejpam-3953	157	14	xhn	xhn	PROPN
ejpam-3953	157	15	,	,	PUNCT
ejpam-3953	157	16	q(x	q(x	PROPN
ejpam-3953	157	17	,	,	PUNCT
ejpam-3953	157	18	a	a	DET
ejpam-3953	157	19	,	,	PUNCT
ejpam-3953	157	20	r	r	NOUN
ejpam-3953	157	21	,	,	PUNCT
ejpam-3953	157	22	m	m	NOUN
ejpam-3953	157	23	)	)	PUNCT
ejpam-3953	157	24	=	=	PUNCT
ejpam-3953	157	25	qr(2	qr(2	PROPN
ejpam-3953	157	26	+	+	CCONJ
ejpam-3953	157	27	(	(	PUNCT
ejpam-3953	157	28	qmn	qmn	NOUN
ejpam-3953	157	29	−	−	PROPN
ejpam-3953	157	30	1))q−mn−rhn+1,q(x	1))q−mn−rhn+1,q(x	NUM
ejpam-3953	157	31	,	,	PUNCT
ejpam-3953	157	32	a	a	PRON
ejpam-3953	157	33	,	,	PUNCT
ejpam-3953	157	34	r	r	NOUN
ejpam-3953	157	35	,	,	PUNCT
ejpam-3953	157	36	m	m	NOUN
ejpam-3953	157	37	)	)	PUNCT
ejpam-3953	158	1	+	+	CCONJ
ejpam-3953	158	2	(	(	PUNCT
ejpam-3953	158	3	2qn+ra+	2qn+ra+	NUM
ejpam-3953	159	1	[	[	X
ejpam-3953	159	2	r]q	r]q	NOUN
ejpam-3953	159	3	+	+	CCONJ
ejpam-3953	159	4	(	(	PUNCT
ejpam-3953	159	5	qmn	qmn	NOUN
ejpam-3953	159	6	−	−	PROPN
ejpam-3953	159	7	1)qr(qna+	1)qr(qna+	NOUN
ejpam-3953	159	8	qn−1a	qn−1a	PUNCT
ejpam-3953	159	9	)	)	PUNCT
ejpam-3953	159	10	+	+	CCONJ
ejpam-3953	159	11	qr[m]q[n]qm)hn	qr[m]q[n]qm)hn	PROPN
ejpam-3953	159	12	,	,	PUNCT
ejpam-3953	159	13	q(x	q(x	NOUN
ejpam-3953	159	14	,	,	PUNCT
ejpam-3953	159	15	a	a	PRON
ejpam-3953	159	16	,	,	PUNCT
ejpam-3953	159	17	r	r	NOUN
ejpam-3953	159	18	,	,	PUNCT
ejpam-3953	159	19	m	m	NOUN
ejpam-3953	159	20	)	)	PUNCT
ejpam-3953	159	21	+	+	CCONJ
ejpam-3953	159	22	(	(	PUNCT
ejpam-3953	159	23	(	(	PUNCT
ejpam-3953	159	24	qmn	qmn	NOUN
ejpam-3953	159	25	−	−	PROPN
ejpam-3953	159	26	1)qrq2n−2a2	1)qrq2n−2a2	PROPN
ejpam-3953	160	1	+	+	CCONJ
ejpam-3953	160	2	qr[m]q[n]qmq	qr[m]q[n]qmq	ADJ
ejpam-3953	160	3	n−1a)qm(n−1)+rhn−1,q(x	n−1a)qm(n−1)+rhn−1,q(x	PROPN
ejpam-3953	160	4	,	,	PUNCT
ejpam-3953	160	5	a	a	PRON
ejpam-3953	160	6	,	,	PUNCT
ejpam-3953	160	7	r	r	NOUN
ejpam-3953	160	8	,	,	PUNCT
ejpam-3953	160	9	m	m	NOUN
ejpam-3953	160	10	)	)	PUNCT
ejpam-3953	160	11	xhn	xhn	PROPN
ejpam-3953	160	12	,	,	PUNCT
ejpam-3953	160	13	q(x	q(x	PROPN
ejpam-3953	160	14	,	,	PUNCT
ejpam-3953	160	15	a	a	PRON
ejpam-3953	160	16	,	,	PUNCT
ejpam-3953	160	17	r	r	NOUN
ejpam-3953	160	18	,	,	PUNCT
ejpam-3953	160	19	m	m	NOUN
ejpam-3953	160	20	)	)	PUNCT
ejpam-3953	160	21	=	=	SYM
ejpam-3953	160	22	(	(	PUNCT
ejpam-3953	160	23	2	2	NUM
ejpam-3953	160	24	+	+	CCONJ
ejpam-3953	160	25	(	(	PUNCT
ejpam-3953	160	26	qmn	qmn	NOUN
ejpam-3953	160	27	−	−	PROPN
ejpam-3953	160	28	1))q−mnhn+1,q(x	1))q−mnhn+1,q(x	NUM
ejpam-3953	160	29	,	,	PUNCT
ejpam-3953	160	30	a	a	PRON
ejpam-3953	160	31	,	,	PUNCT
ejpam-3953	160	32	r	r	NOUN
ejpam-3953	160	33	,	,	PUNCT
ejpam-3953	160	34	m	m	NOUN
ejpam-3953	160	35	)	)	PUNCT
ejpam-3953	161	1	+	+	CCONJ
ejpam-3953	161	2	(	(	PUNCT
ejpam-3953	161	3	2qn+ra+	2qn+ra+	NUM
ejpam-3953	162	1	[	[	X
ejpam-3953	162	2	r]q	r]q	NOUN
ejpam-3953	162	3	+	+	CCONJ
ejpam-3953	162	4	(	(	PUNCT
ejpam-3953	162	5	qmn	qmn	NOUN
ejpam-3953	162	6	−	−	PROPN
ejpam-3953	162	7	1)qr(qna+	1)qr(qna+	NOUN
ejpam-3953	162	8	qn−1a	qn−1a	PUNCT
ejpam-3953	162	9	)	)	PUNCT
ejpam-3953	162	10	+	+	CCONJ
ejpam-3953	162	11	qr[m]q[n]qm)hn	qr[m]q[n]qm)hn	PROPN
ejpam-3953	162	12	,	,	PUNCT
ejpam-3953	162	13	q(x	q(x	NOUN
ejpam-3953	162	14	,	,	PUNCT
ejpam-3953	162	15	a	a	PRON
ejpam-3953	162	16	,	,	PUNCT
ejpam-3953	162	17	r	r	NOUN
ejpam-3953	162	18	,	,	PUNCT
ejpam-3953	162	19	m	m	NOUN
ejpam-3953	162	20	)	)	PUNCT
ejpam-3953	162	21	+	+	CCONJ
ejpam-3953	162	22	(	(	PUNCT
ejpam-3953	162	23	(	(	PUNCT
ejpam-3953	162	24	qmn	qmn	NOUN
ejpam-3953	162	25	−	−	PROPN
ejpam-3953	162	26	1)qrq2n−2a2	1)qrq2n−2a2	PROPN
ejpam-3953	163	1	+	+	CCONJ
ejpam-3953	163	2	qr[m]q[n]qmq	qr[m]q[n]qmq	ADJ
ejpam-3953	163	3	n−1a)qm(n−1)+rhn−1,q(x	n−1a)qm(n−1)+rhn−1,q(x	PROPN
ejpam-3953	163	4	,	,	PUNCT
ejpam-3953	163	5	a	a	PRON
ejpam-3953	163	6	,	,	PUNCT
ejpam-3953	163	7	r	r	NOUN
ejpam-3953	163	8	,	,	PUNCT
ejpam-3953	163	9	m	m	NOUN
ejpam-3953	163	10	)	)	PUNCT
ejpam-3953	163	11	(	(	PUNCT
ejpam-3953	163	12	16	16	NUM
ejpam-3953	163	13	)	)	PUNCT
ejpam-3953	163	14	it	it	PRON
ejpam-3953	163	15	is	be	AUX
ejpam-3953	163	16	clear	clear	ADJ
ejpam-3953	163	17	that	that	SCONJ
ejpam-3953	163	18	gr	gr	NOUN
ejpam-3953	163	19	,	,	PUNCT
ejpam-3953	163	20	q(hn	q(hn	PROPN
ejpam-3953	163	21	,	,	PUNCT
ejpam-3953	163	22	q(x	q(x	PROPN
ejpam-3953	163	23	,	,	PUNCT
ejpam-3953	163	24	a	a	PRON
ejpam-3953	163	25	,	,	PUNCT
ejpam-3953	163	26	r	r	NOUN
ejpam-3953	163	27	,	,	PUNCT
ejpam-3953	163	28	m	m	NOUN
ejpam-3953	163	29	)	)	PUNCT
ejpam-3953	163	30	)	)	PUNCT
ejpam-3953	164	1	=	=	SYM
ejpam-3953	164	2	gr	gr	PROPN
ejpam-3953	164	3	,	,	PUNCT
ejpam-3953	164	4	q	q	X
ejpam-3953	164	5	(	(	PUNCT
ejpam-3953	164	6	qm(n2)+rngn	qm(n2)+rngn	NOUN
ejpam-3953	164	7	,	,	PUNCT
ejpam-3953	164	8	q(x	q(x	PROPN
ejpam-3953	164	9	,	,	PUNCT
ejpam-3953	164	10	a	a	PRON
ejpam-3953	164	11	,	,	PUNCT
ejpam-3953	164	12	r	r	NOUN
ejpam-3953	164	13	,	,	PUNCT
ejpam-3953	164	14	m	m	NOUN
ejpam-3953	164	15	)	)	PUNCT
ejpam-3953	164	16	)	)	PUNCT
ejpam-3953	164	17	=	=	PUNCT
ejpam-3953	165	1	qm(n2)+rn	qm(n2)+rn	PROPN
ejpam-3953	165	2	n∑	n∑	PROPN
ejpam-3953	165	3	k=0	k=0	PROPN
ejpam-3953	165	4	(	(	PUNCT
ejpam-3953	165	5	−a)kq	−a)kq	X
ejpam-3953	165	6	(	(	PUNCT
ejpam-3953	165	7	k	k	NOUN
ejpam-3953	165	8	2	2	X
ejpam-3953	165	9	)	)	PUNCT
ejpam-3953	165	10	[	[	PUNCT
ejpam-3953	165	11	n	n	X
ejpam-3953	165	12	k	k	X
ejpam-3953	165	13	]	]	X
ejpam-3953	165	14	q	q	X
ejpam-3953	165	15	gr	gr	NOUN
ejpam-3953	165	16	,	,	PUNCT
ejpam-3953	165	17	q	q	X
ejpam-3953	165	18	(	(	PUNCT
ejpam-3953	165	19	〈	〈	PROPN
ejpam-3953	165	20	〈	〈	PROPN
ejpam-3953	165	21	x〉〉r	x〉〉r	PROPN
ejpam-3953	165	22	,	,	PUNCT
ejpam-3953	165	23	m	m	PROPN
ejpam-3953	165	24	,	,	PUNCT
ejpam-3953	165	25	n−k	n−k	NOUN
ejpam-3953	165	26	)	)	PUNCT
ejpam-3953	165	27	=	=	PUNCT
ejpam-3953	166	1	qm(n2)+rn	qm(n2)+rn	PROPN
ejpam-3953	166	2	n∑	n∑	PROPN
ejpam-3953	166	3	k=0	k=0	PROPN
ejpam-3953	166	4	(	(	PUNCT
ejpam-3953	166	5	−a)kq	−a)kq	X
ejpam-3953	166	6	(	(	PUNCT
ejpam-3953	166	7	k	k	NOUN
ejpam-3953	166	8	2	2	X
ejpam-3953	166	9	)	)	PUNCT
ejpam-3953	166	10	[	[	PUNCT
ejpam-3953	166	11	n	n	X
ejpam-3953	166	12	k	k	X
ejpam-3953	166	13	]	]	X
ejpam-3953	166	14	q	q	X
ejpam-3953	166	15	an−k	an−k	PROPN
ejpam-3953	166	16	=	=	SYM
ejpam-3953	166	17	qm(n2)+rnpn	qm(n2)+rnpn	NOUN
ejpam-3953	166	18	,	,	PUNCT
ejpam-3953	166	19	q(a	q(a	PROPN
ejpam-3953	166	20	,	,	PUNCT
ejpam-3953	166	21	a	a	PRON
ejpam-3953	166	22	)	)	PUNCT
ejpam-3953	166	23	=	=	SYM
ejpam-3953	166	24	0	0	NUM
ejpam-3953	166	25	,	,	PUNCT
ejpam-3953	166	26	gr	gr	NOUN
ejpam-3953	166	27	,	,	PUNCT
ejpam-3953	166	28	q	q	X
ejpam-3953	166	29	(	(	PUNCT
ejpam-3953	166	30	〈	〈	PROPN
ejpam-3953	166	31	〈	〈	PROPN
ejpam-3953	166	32	x〉〉r	x〉〉r	PROPN
ejpam-3953	166	33	,	,	PUNCT
ejpam-3953	166	34	m,0	m,0	PUNCT
ejpam-3953	166	35	)	)	PUNCT
ejpam-3953	167	1	=	=	SYM
ejpam-3953	167	2	a0	a0	NOUN
ejpam-3953	167	3	=	=	SYM
ejpam-3953	167	4	1	1	NUM
ejpam-3953	167	5	r.	r.	PROPN
ejpam-3953	167	6	corcino	corcino	PROPN
ejpam-3953	167	7	/	/	SYM
ejpam-3953	167	8	eur	eur	PROPN
ejpam-3953	167	9	.	.	PUNCT
ejpam-3953	168	1	j.	j.	PROPN
ejpam-3953	168	2	pure	pure	PROPN
ejpam-3953	168	3	appl	appl	PROPN
ejpam-3953	168	4	.	.	PROPN
ejpam-3953	168	5	math	math	PROPN
ejpam-3953	168	6	,	,	PUNCT
ejpam-3953	168	7	14	14	NUM
ejpam-3953	168	8	(	(	PUNCT
ejpam-3953	168	9	3	3	NUM
ejpam-3953	168	10	)	)	PUNCT
ejpam-3953	168	11	(	(	PUNCT
ejpam-3953	168	12	2021	2021	NUM
ejpam-3953	168	13	)	)	PUNCT
ejpam-3953	168	14	,	,	PUNCT
ejpam-3953	168	15	746	746	NUM
ejpam-3953	168	16	-	-	SYM
ejpam-3953	168	17	759	759	NUM
ejpam-3953	168	18	754	754	NUM
ejpam-3953	168	19	which	which	PRON
ejpam-3953	168	20	implies	imply	VERB
ejpam-3953	168	21	gr	gr	PROPN
ejpam-3953	168	22	,	,	PUNCT
ejpam-3953	168	23	q(1	q(1	NOUN
ejpam-3953	168	24	)	)	PUNCT
ejpam-3953	168	25	=	=	SYM
ejpam-3953	169	1	1	1	X
ejpam-3953	169	2	.	.	PUNCT
ejpam-3953	169	3	and	and	CCONJ
ejpam-3953	169	4	g0,q(x	g0,q(x	PROPN
ejpam-3953	169	5	,	,	PUNCT
ejpam-3953	169	6	a	a	PRON
ejpam-3953	169	7	,	,	PUNCT
ejpam-3953	169	8	r	r	NOUN
ejpam-3953	169	9	,	,	PUNCT
ejpam-3953	169	10	m	m	NOUN
ejpam-3953	169	11	)	)	PUNCT
ejpam-3953	170	1	=	=	SYM
ejpam-3953	170	2	0∑	0∑	NOUN
ejpam-3953	170	3	k=0	k=0	PROPN
ejpam-3953	170	4	(	(	PUNCT
ejpam-3953	170	5	−a)kq	−a)kq	X
ejpam-3953	170	6	(	(	PUNCT
ejpam-3953	170	7	k	k	NOUN
ejpam-3953	170	8	2	2	X
ejpam-3953	170	9	)	)	PUNCT
ejpam-3953	170	10	[	[	PUNCT
ejpam-3953	170	11	0	0	NUM
ejpam-3953	171	1	k	k	X
ejpam-3953	171	2	]	]	X
ejpam-3953	171	3	q	q	PUNCT
ejpam-3953	171	4	〈	〈	PROPN
ejpam-3953	171	5	〈	〈	PROPN
ejpam-3953	171	6	x〉〉r	x〉〉r	PROPN
ejpam-3953	171	7	,	,	PUNCT
ejpam-3953	171	8	m,0−k	m,0−k	NOUN
ejpam-3953	171	9	=	=	SYM
ejpam-3953	171	10	(	(	PUNCT
ejpam-3953	171	11	−a)0q	−a)0q	X
ejpam-3953	171	12	(	(	PUNCT
ejpam-3953	171	13	0	0	NUM
ejpam-3953	171	14	2	2	NUM
ejpam-3953	171	15	)	)	PUNCT
ejpam-3953	171	16	[	[	PUNCT
ejpam-3953	171	17	0	0	NUM
ejpam-3953	171	18	0	0	NUM
ejpam-3953	171	19	]	]	PUNCT
ejpam-3953	171	20	q	q	PUNCT
ejpam-3953	171	21	〈	〈	PROPN
ejpam-3953	171	22	〈	〈	PROPN
ejpam-3953	171	23	x〉〉r	x〉〉r	PROPN
ejpam-3953	171	24	,	,	PUNCT
ejpam-3953	171	25	m,0	m,0	PROPN
ejpam-3953	171	26	=	=	SYM
ejpam-3953	171	27	1	1	X
ejpam-3953	171	28	.	.	PUNCT
ejpam-3953	172	1	it	it	PRON
ejpam-3953	172	2	follows	follow	VERB
ejpam-3953	172	3	that	that	SCONJ
ejpam-3953	172	4	h0,q(x	h0,q(x	ADP
ejpam-3953	172	5	,	,	PUNCT
ejpam-3953	172	6	a	a	PRON
ejpam-3953	172	7	,	,	PUNCT
ejpam-3953	172	8	r	r	NOUN
ejpam-3953	172	9	,	,	PUNCT
ejpam-3953	172	10	m	m	NOUN
ejpam-3953	172	11	)	)	PUNCT
ejpam-3953	173	1	=	=	SYM
ejpam-3953	173	2	qm(02)+0g0,q(x	qm(02)+0g0,q(x	PROPN
ejpam-3953	173	3	,	,	PUNCT
ejpam-3953	173	4	a	a	DET
ejpam-3953	173	5	,	,	PUNCT
ejpam-3953	173	6	r	r	NOUN
ejpam-3953	173	7	,	,	PUNCT
ejpam-3953	173	8	m	m	NOUN
ejpam-3953	173	9	)	)	PUNCT
ejpam-3953	173	10	=	=	SYM
ejpam-3953	173	11	1	1	NUM
ejpam-3953	173	12	and	and	CCONJ
ejpam-3953	173	13	gr	gr	NOUN
ejpam-3953	173	14	,	,	PUNCT
ejpam-3953	173	15	q	q	X
ejpam-3953	173	16	(	(	PUNCT
ejpam-3953	173	17	h0,q(x	h0,q(x	PROPN
ejpam-3953	173	18	,	,	PUNCT
ejpam-3953	173	19	a	a	PRON
ejpam-3953	173	20	,	,	PUNCT
ejpam-3953	173	21	r	r	NOUN
ejpam-3953	173	22	,	,	PUNCT
ejpam-3953	173	23	m	m	NOUN
ejpam-3953	173	24	)	)	PUNCT
ejpam-3953	173	25	)	)	PUNCT
ejpam-3953	174	1	=	=	SYM
ejpam-3953	174	2	gr	gr	PROPN
ejpam-3953	174	3	,	,	PUNCT
ejpam-3953	174	4	q(1	q(1	NOUN
ejpam-3953	174	5	)	)	PUNCT
ejpam-3953	174	6	=	=	SYM
ejpam-3953	175	1	1	1	X
ejpam-3953	175	2	.	.	PUNCT
ejpam-3953	175	3	clearly	clearly	ADV
ejpam-3953	175	4	,	,	PUNCT
ejpam-3953	175	5	gr	gr	PROPN
ejpam-3953	175	6	,	,	PUNCT
ejpam-3953	175	7	q	q	X
ejpam-3953	175	8	(	(	PUNCT
ejpam-3953	175	9	[	[	X
ejpam-3953	175	10	x]qhn	x]qhn	NOUN
ejpam-3953	175	11	,	,	PUNCT
ejpam-3953	175	12	q(x	q(x	NOUN
ejpam-3953	175	13	,	,	PUNCT
ejpam-3953	175	14	a	a	PRON
ejpam-3953	175	15	,	,	PUNCT
ejpam-3953	175	16	r	r	NOUN
ejpam-3953	175	17	,	,	PUNCT
ejpam-3953	175	18	m	m	NOUN
ejpam-3953	175	19	)	)	PUNCT
ejpam-3953	175	20	)	)	PUNCT
ejpam-3953	176	1	=	=	SYM
ejpam-3953	176	2	0	0	NUM
ejpam-3953	176	3	and	and	CCONJ
ejpam-3953	176	4	from	from	ADP
ejpam-3953	176	5	(	(	PUNCT
ejpam-3953	176	6	16	16	NUM
ejpam-3953	176	7	)	)	PUNCT
ejpam-3953	176	8	,	,	PUNCT
ejpam-3953	176	9	xhn	xhn	PROPN
ejpam-3953	176	10	,	,	PUNCT
ejpam-3953	176	11	q(x	q(x	PROPN
ejpam-3953	176	12	,	,	PUNCT
ejpam-3953	176	13	a	a	DET
ejpam-3953	176	14	,	,	PUNCT
ejpam-3953	176	15	r	r	NOUN
ejpam-3953	176	16	,	,	PUNCT
ejpam-3953	176	17	m	m	NOUN
ejpam-3953	176	18	)	)	PUNCT
ejpam-3953	176	19	=	=	NOUN
ejpam-3953	176	20	g(n)hn+1,q(x	g(n)hn+1,q(x	NOUN
ejpam-3953	176	21	,	,	PUNCT
ejpam-3953	176	22	a	a	PRON
ejpam-3953	176	23	,	,	PUNCT
ejpam-3953	176	24	r	r	NOUN
ejpam-3953	176	25	,	,	PUNCT
ejpam-3953	176	26	m	m	NOUN
ejpam-3953	176	27	)	)	PUNCT
ejpam-3953	177	1	+	+	SYM
ejpam-3953	177	2	f(n)hn	f(n)hn	NOUN
ejpam-3953	177	3	,	,	PUNCT
ejpam-3953	177	4	q(x	q(x	PROPN
ejpam-3953	177	5	,	,	PUNCT
ejpam-3953	177	6	a	a	DET
ejpam-3953	177	7	,	,	PUNCT
ejpam-3953	177	8	r	r	NOUN
ejpam-3953	177	9	,	,	PUNCT
ejpam-3953	177	10	m	m	NOUN
ejpam-3953	177	11	)	)	PUNCT
ejpam-3953	178	1	+	+	CCONJ
ejpam-3953	178	2	c(n)hn−1,q(x	c(n)hn−1,q(x	PROPN
ejpam-3953	178	3	,	,	PUNCT
ejpam-3953	178	4	a	a	PRON
ejpam-3953	178	5	,	,	PUNCT
ejpam-3953	178	6	r	r	NOUN
ejpam-3953	178	7	,	,	PUNCT
ejpam-3953	178	8	m	m	NOUN
ejpam-3953	178	9	)	)	PUNCT
ejpam-3953	178	10	where	where	SCONJ
ejpam-3953	178	11	g(n	g(n	NOUN
ejpam-3953	178	12	)	)	PUNCT
ejpam-3953	178	13	=	=	PUNCT
ejpam-3953	178	14	(	(	PUNCT
ejpam-3953	178	15	2	2	NUM
ejpam-3953	178	16	+	+	CCONJ
ejpam-3953	178	17	(	(	PUNCT
ejpam-3953	178	18	qmn	qmn	NOUN
ejpam-3953	178	19	−	−	PROPN
ejpam-3953	178	20	1))q−mn	1))q−mn	NUM
ejpam-3953	178	21	f(n	f(n	PROPN
ejpam-3953	178	22	)	)	PUNCT
ejpam-3953	178	23	=	=	PUNCT
ejpam-3953	179	1	(	(	PUNCT
ejpam-3953	179	2	2qn+ra+	2qn+ra+	NUM
ejpam-3953	179	3	[	[	X
ejpam-3953	179	4	r]q	r]q	NOUN
ejpam-3953	179	5	+	+	CCONJ
ejpam-3953	179	6	(	(	PUNCT
ejpam-3953	179	7	qmn	qmn	NOUN
ejpam-3953	179	8	−	−	PROPN
ejpam-3953	179	9	1)qr(qna+	1)qr(qna+	NOUN
ejpam-3953	179	10	qn−1a	qn−1a	NUM
ejpam-3953	179	11	)	)	PUNCT
ejpam-3953	179	12	+	+	NUM
ejpam-3953	179	13	qr[m]q[n]qm	qr[m]q[n]qm	PROPN
ejpam-3953	179	14	)	)	PUNCT
ejpam-3953	179	15	c(n	c(n	NOUN
ejpam-3953	179	16	)	)	PUNCT
ejpam-3953	180	1	=	=	PUNCT
ejpam-3953	180	2	(	(	PUNCT
ejpam-3953	180	3	(	(	PUNCT
ejpam-3953	180	4	qmn	qmn	NOUN
ejpam-3953	180	5	−	−	PROPN
ejpam-3953	180	6	1)qrq2n−2a2	1)qrq2n−2a2	PROPN
ejpam-3953	180	7	+	+	CCONJ
ejpam-3953	180	8	qr[m]q[n]qmq	qr[m]q[n]qmq	ADJ
ejpam-3953	180	9	n−1a)qm(n−1)+r	n−1a)qm(n−1)+r	PROPN
ejpam-3953	180	10	.	.	PUNCT
ejpam-3953	181	1	then	then	ADV
ejpam-3953	181	2	,	,	PUNCT
ejpam-3953	181	3	x2hn	x2hn	PROPN
ejpam-3953	181	4	,	,	PUNCT
ejpam-3953	181	5	q(x	q(x	PROPN
ejpam-3953	181	6	,	,	PUNCT
ejpam-3953	181	7	a	a	DET
ejpam-3953	181	8	,	,	PUNCT
ejpam-3953	181	9	r	r	NOUN
ejpam-3953	181	10	,	,	PUNCT
ejpam-3953	181	11	m	m	NOUN
ejpam-3953	181	12	)	)	PUNCT
ejpam-3953	181	13	=	=	SYM
ejpam-3953	181	14	xxhn	xxhn	PROPN
ejpam-3953	181	15	,	,	PUNCT
ejpam-3953	181	16	q(x	q(x	PROPN
ejpam-3953	181	17	,	,	PUNCT
ejpam-3953	181	18	a	a	DET
ejpam-3953	181	19	,	,	PUNCT
ejpam-3953	181	20	r	r	NOUN
ejpam-3953	181	21	,	,	PUNCT
ejpam-3953	181	22	m	m	NOUN
ejpam-3953	181	23	)	)	PUNCT
ejpam-3953	181	24	=	=	SYM
ejpam-3953	182	1	x	x	PUNCT
ejpam-3953	183	1	[	[	X
ejpam-3953	183	2	g(n)hn+1,q(x	g(n)hn+1,q(x	NOUN
ejpam-3953	183	3	,	,	PUNCT
ejpam-3953	183	4	a	a	PRON
ejpam-3953	183	5	,	,	PUNCT
ejpam-3953	183	6	r	r	NOUN
ejpam-3953	183	7	,	,	PUNCT
ejpam-3953	183	8	m	m	NOUN
ejpam-3953	183	9	)	)	PUNCT
ejpam-3953	183	10	+	+	SYM
ejpam-3953	183	11	f(n)hn	f(n)hn	NOUN
ejpam-3953	183	12	,	,	PUNCT
ejpam-3953	183	13	q(x	q(x	PROPN
ejpam-3953	183	14	,	,	PUNCT
ejpam-3953	183	15	a	a	DET
ejpam-3953	183	16	,	,	PUNCT
ejpam-3953	183	17	r	r	NOUN
ejpam-3953	183	18	,	,	PUNCT
ejpam-3953	183	19	m	m	NOUN
ejpam-3953	183	20	)	)	PUNCT
ejpam-3953	183	21	+	+	CCONJ
ejpam-3953	184	1	c(n)hn−1,q(x	c(n)hn−1,q(x	PROPN
ejpam-3953	184	2	,	,	PUNCT
ejpam-3953	184	3	a	a	PRON
ejpam-3953	184	4	,	,	PUNCT
ejpam-3953	184	5	r	r	NOUN
ejpam-3953	184	6	,	,	PUNCT
ejpam-3953	184	7	m	m	NOUN
ejpam-3953	184	8	)	)	PUNCT
ejpam-3953	184	9	]	]	PUNCT
ejpam-3953	185	1	=	=	SYM
ejpam-3953	185	2	g(n)xhn+1,q(x	g(n)xhn+1,q(x	NOUN
ejpam-3953	185	3	,	,	PUNCT
ejpam-3953	185	4	a	a	PRON
ejpam-3953	185	5	,	,	PUNCT
ejpam-3953	185	6	r	r	NOUN
ejpam-3953	185	7	,	,	PUNCT
ejpam-3953	185	8	m	m	NOUN
ejpam-3953	185	9	)	)	PUNCT
ejpam-3953	185	10	+	+	NUM
ejpam-3953	185	11	f(n)xhn	f(n)xhn	PROPN
ejpam-3953	185	12	,	,	PUNCT
ejpam-3953	185	13	q(x	q(x	NOUN
ejpam-3953	185	14	,	,	PUNCT
ejpam-3953	185	15	a	a	PRON
ejpam-3953	185	16	,	,	PUNCT
ejpam-3953	185	17	r	r	NOUN
ejpam-3953	185	18	,	,	PUNCT
ejpam-3953	185	19	m	m	NOUN
ejpam-3953	185	20	)	)	PUNCT
ejpam-3953	186	1	+	+	CCONJ
ejpam-3953	186	2	c(n)xhn−1,q(x	c(n)xhn−1,q(x	NOUN
ejpam-3953	186	3	,	,	PUNCT
ejpam-3953	186	4	a	a	PRON
ejpam-3953	186	5	,	,	PUNCT
ejpam-3953	186	6	r	r	NOUN
ejpam-3953	186	7	,	,	PUNCT
ejpam-3953	186	8	m	m	NOUN
ejpam-3953	186	9	)	)	PUNCT
ejpam-3953	186	10	=	=	SYM
ejpam-3953	186	11	g(n)g(n+	g(n)g(n+	X
ejpam-3953	186	12	1)hn+2,q(x	1)hn+2,q(x	NUM
ejpam-3953	186	13	,	,	PUNCT
ejpam-3953	186	14	a	a	PRON
ejpam-3953	186	15	,	,	PUNCT
ejpam-3953	186	16	r	r	NOUN
ejpam-3953	186	17	,	,	PUNCT
ejpam-3953	186	18	m	m	NOUN
ejpam-3953	186	19	)	)	PUNCT
ejpam-3953	186	20	+	+	NUM
ejpam-3953	186	21	g(n)f(n+	g(n)f(n+	NOUN
ejpam-3953	186	22	1)hn+1,q(x	1)hn+1,q(x	NUM
ejpam-3953	186	23	,	,	PUNCT
ejpam-3953	186	24	a	a	PRON
ejpam-3953	186	25	,	,	PUNCT
ejpam-3953	186	26	r	r	NOUN
ejpam-3953	186	27	,	,	PUNCT
ejpam-3953	186	28	m	m	NOUN
ejpam-3953	186	29	)	)	PUNCT
ejpam-3953	187	1	+	+	CCONJ
ejpam-3953	187	2	g(n)c(n+	g(n)c(n+	NOUN
ejpam-3953	187	3	1)hn	1)hn	NUM
ejpam-3953	187	4	,	,	PUNCT
ejpam-3953	187	5	q(x	q(x	PROPN
ejpam-3953	187	6	,	,	PUNCT
ejpam-3953	187	7	a	a	PRON
ejpam-3953	187	8	,	,	PUNCT
ejpam-3953	187	9	r	r	NOUN
ejpam-3953	187	10	,	,	PUNCT
ejpam-3953	187	11	m	m	NOUN
ejpam-3953	187	12	)	)	PUNCT
ejpam-3953	187	13	+	+	CCONJ
ejpam-3953	187	14	g(n)f(n)hn+1,q(x	g(n)f(n)hn+1,q(x	NOUN
ejpam-3953	187	15	,	,	PUNCT
ejpam-3953	187	16	a	a	PRON
ejpam-3953	187	17	,	,	PUNCT
ejpam-3953	187	18	r	r	NOUN
ejpam-3953	187	19	,	,	PUNCT
ejpam-3953	187	20	m	m	NOUN
ejpam-3953	187	21	)	)	PUNCT
ejpam-3953	188	1	+	+	CCONJ
ejpam-3953	189	1	f2(n)hn	f2(n)hn	ADJ
ejpam-3953	189	2	,	,	PUNCT
ejpam-3953	189	3	q(x	q(x	NOUN
ejpam-3953	189	4	,	,	PUNCT
ejpam-3953	189	5	a	a	PRON
ejpam-3953	189	6	,	,	PUNCT
ejpam-3953	189	7	r	r	NOUN
ejpam-3953	189	8	,	,	PUNCT
ejpam-3953	189	9	m	m	NOUN
ejpam-3953	189	10	)	)	PUNCT
ejpam-3953	189	11	+	+	NUM
ejpam-3953	189	12	f(n)c(n)hn−1,q(x	f(n)c(n)hn−1,q(x	NOUN
ejpam-3953	189	13	,	,	PUNCT
ejpam-3953	189	14	a	a	PRON
ejpam-3953	189	15	,	,	PUNCT
ejpam-3953	189	16	r	r	NOUN
ejpam-3953	189	17	,	,	PUNCT
ejpam-3953	189	18	m	m	NOUN
ejpam-3953	189	19	)	)	PUNCT
ejpam-3953	190	1	+	+	CCONJ
ejpam-3953	190	2	c(n)g(n−	c(n)g(n−	PROPN
ejpam-3953	190	3	1)hn	1)hn	NUM
ejpam-3953	190	4	,	,	PUNCT
ejpam-3953	190	5	q(x	q(x	PROPN
ejpam-3953	190	6	,	,	PUNCT
ejpam-3953	190	7	a	a	PRON
ejpam-3953	190	8	,	,	PUNCT
ejpam-3953	190	9	r	r	NOUN
ejpam-3953	190	10	,	,	PUNCT
ejpam-3953	190	11	m	m	NOUN
ejpam-3953	190	12	)	)	PUNCT
ejpam-3953	190	13	+	+	CCONJ
ejpam-3953	190	14	c(n)f(n−	c(n)f(n−	PROPN
ejpam-3953	190	15	1)hn−1,q(x	1)hn−1,q(x	NUM
ejpam-3953	190	16	,	,	PUNCT
ejpam-3953	190	17	a	a	PRON
ejpam-3953	190	18	,	,	PUNCT
ejpam-3953	190	19	r	r	NOUN
ejpam-3953	190	20	,	,	PUNCT
ejpam-3953	190	21	m	m	NOUN
ejpam-3953	190	22	)	)	PUNCT
ejpam-3953	191	1	+	+	CCONJ
ejpam-3953	191	2	c(n)c(n−	c(n)c(n−	PROPN
ejpam-3953	191	3	1)hn−2,q(x	1)hn−2,q(x	NUM
ejpam-3953	191	4	,	,	PUNCT
ejpam-3953	191	5	a	a	DET
ejpam-3953	191	6	,	,	PUNCT
ejpam-3953	191	7	r	r	NOUN
ejpam-3953	191	8	,	,	PUNCT
ejpam-3953	191	9	m	m	NOUN
ejpam-3953	191	10	)	)	PUNCT
ejpam-3953	191	11	=	=	SYM
ejpam-3953	191	12	g(n)g(n+	g(n)g(n+	X
ejpam-3953	191	13	1)hn+2,q(x	1)hn+2,q(x	NUM
ejpam-3953	191	14	,	,	PUNCT
ejpam-3953	191	15	a	a	PRON
ejpam-3953	191	16	,	,	PUNCT
ejpam-3953	191	17	r	r	NOUN
ejpam-3953	191	18	,	,	PUNCT
ejpam-3953	191	19	m	m	NOUN
ejpam-3953	191	20	)	)	PUNCT
ejpam-3953	191	21	+	+	CCONJ
ejpam-3953	192	1	[	[	X
ejpam-3953	192	2	g(n)f(n+	g(n)f(n+	NOUN
ejpam-3953	192	3	1	1	NUM
ejpam-3953	192	4	)	)	PUNCT
ejpam-3953	192	5	+	+	CCONJ
ejpam-3953	192	6	g(n)f(n)]hn+1,q(x	g(n)f(n)]hn+1,q(x	PROPN
ejpam-3953	192	7	,	,	PUNCT
ejpam-3953	192	8	a	a	PRON
ejpam-3953	192	9	,	,	PUNCT
ejpam-3953	192	10	r	r	NOUN
ejpam-3953	192	11	,	,	PUNCT
ejpam-3953	192	12	m	m	NOUN
ejpam-3953	192	13	)	)	PUNCT
ejpam-3953	193	1	+	+	CCONJ
ejpam-3953	193	2	[	[	PUNCT
ejpam-3953	193	3	g(n)c(n+	g(n)c(n+	NOUN
ejpam-3953	193	4	1	1	NUM
ejpam-3953	193	5	)	)	PUNCT
ejpam-3953	193	6	+	+	CCONJ
ejpam-3953	193	7	f2(n	f2(n	NOUN
ejpam-3953	193	8	)	)	PUNCT
ejpam-3953	193	9	+	+	CCONJ
ejpam-3953	193	10	c(n)g(n−	c(n)g(n−	PROPN
ejpam-3953	193	11	1	1	NUM
ejpam-3953	193	12	)	)	PUNCT
ejpam-3953	193	13	]	]	PUNCT
ejpam-3953	194	1	hn	hn	PROPN
ejpam-3953	194	2	,	,	PUNCT
ejpam-3953	194	3	q(x	q(x	PROPN
ejpam-3953	194	4	,	,	PUNCT
ejpam-3953	194	5	a	a	PRON
ejpam-3953	194	6	,	,	PUNCT
ejpam-3953	194	7	r	r	NOUN
ejpam-3953	194	8	,	,	PUNCT
ejpam-3953	194	9	m	m	NOUN
ejpam-3953	194	10	)	)	PUNCT
ejpam-3953	195	1	+	+	CCONJ
ejpam-3953	196	1	[	[	X
ejpam-3953	196	2	f(n)c(n	f(n)c(n	X
ejpam-3953	196	3	)	)	PUNCT
ejpam-3953	196	4	+	+	CCONJ
ejpam-3953	196	5	c(n)f(n−	c(n)f(n−	VERB
ejpam-3953	196	6	1)]hn−1,q(x	1)]hn−1,q(x	NUM
ejpam-3953	196	7	,	,	PUNCT
ejpam-3953	196	8	a	a	DET
ejpam-3953	196	9	,	,	PUNCT
ejpam-3953	196	10	r	r	NOUN
ejpam-3953	196	11	,	,	PUNCT
ejpam-3953	196	12	m	m	NOUN
ejpam-3953	196	13	)	)	PUNCT
ejpam-3953	196	14	r.	r.	PROPN
ejpam-3953	196	15	corcino	corcino	PROPN
ejpam-3953	196	16	/	/	SYM
ejpam-3953	196	17	eur	eur	PROPN
ejpam-3953	196	18	.	.	PUNCT
ejpam-3953	197	1	j.	j.	PROPN
ejpam-3953	197	2	pure	pure	PROPN
ejpam-3953	197	3	appl	appl	PROPN
ejpam-3953	197	4	.	.	PROPN
ejpam-3953	197	5	math	math	PROPN
ejpam-3953	197	6	,	,	PUNCT
ejpam-3953	197	7	14	14	NUM
ejpam-3953	197	8	(	(	PUNCT
ejpam-3953	197	9	3	3	NUM
ejpam-3953	197	10	)	)	PUNCT
ejpam-3953	197	11	(	(	PUNCT
ejpam-3953	197	12	2021	2021	NUM
ejpam-3953	197	13	)	)	PUNCT
ejpam-3953	197	14	,	,	PUNCT
ejpam-3953	197	15	746	746	NUM
ejpam-3953	197	16	-	-	SYM
ejpam-3953	197	17	759	759	NUM
ejpam-3953	197	18	755	755	NUM
ejpam-3953	197	19	+	+	CCONJ
ejpam-3953	197	20	c(n)c(n−	c(n)c(n−	PROPN
ejpam-3953	197	21	1)hn−2,q(x	1)hn−2,q(x	NUM
ejpam-3953	197	22	,	,	PUNCT
ejpam-3953	197	23	a	a	PRON
ejpam-3953	197	24	,	,	PUNCT
ejpam-3953	197	25	r	r	NOUN
ejpam-3953	197	26	,	,	PUNCT
ejpam-3953	197	27	m	m	NOUN
ejpam-3953	197	28	)	)	PUNCT
ejpam-3953	197	29	.	.	PUNCT
ejpam-3953	198	1	applying	apply	VERB
ejpam-3953	198	2	the	the	DET
ejpam-3953	198	3	linear	linear	ADJ
ejpam-3953	198	4	functional	functional	ADJ
ejpam-3953	198	5	gr	gr	NOUN
ejpam-3953	198	6	,	,	PUNCT
ejpam-3953	198	7	q	q	NOUN
ejpam-3953	198	8	to	to	ADP
ejpam-3953	198	9	[	[	X
ejpam-3953	198	10	x]2qhn	x]2qhn	NOUN
ejpam-3953	198	11	,	,	PUNCT
ejpam-3953	198	12	q(x	q(x	PROPN
ejpam-3953	198	13	,	,	PUNCT
ejpam-3953	198	14	a	a	PRON
ejpam-3953	198	15	,	,	PUNCT
ejpam-3953	198	16	r	r	NOUN
ejpam-3953	198	17	,	,	PUNCT
ejpam-3953	198	18	m	m	NOUN
ejpam-3953	198	19	)	)	PUNCT
ejpam-3953	198	20	gives	give	VERB
ejpam-3953	198	21	,	,	PUNCT
ejpam-3953	198	22	gr	gr	NOUN
ejpam-3953	198	23	,	,	PUNCT
ejpam-3953	198	24	q	q	X
ejpam-3953	198	25	(	(	PUNCT
ejpam-3953	198	26	x2hn	x2hn	PROPN
ejpam-3953	198	27	,	,	PUNCT
ejpam-3953	198	28	q(x	q(x	PROPN
ejpam-3953	198	29	,	,	PUNCT
ejpam-3953	198	30	a	a	PRON
ejpam-3953	198	31	,	,	PUNCT
ejpam-3953	198	32	r	r	NOUN
ejpam-3953	198	33	,	,	PUNCT
ejpam-3953	198	34	m	m	NOUN
ejpam-3953	198	35	)	)	PUNCT
ejpam-3953	198	36	)	)	PUNCT
ejpam-3953	199	1	=	=	SYM
ejpam-3953	199	2	0	0	NUM
ejpam-3953	199	3	...	...	PUNCT
ejpam-3953	200	1	gr	gr	X
ejpam-3953	200	2	,	,	PUNCT
ejpam-3953	200	3	q	q	X
ejpam-3953	200	4	(	(	PUNCT
ejpam-3953	200	5	xkhn	xkhn	PROPN
ejpam-3953	200	6	,	,	PUNCT
ejpam-3953	200	7	q(x	q(x	PROPN
ejpam-3953	200	8	,	,	PUNCT
ejpam-3953	200	9	a	a	PRON
ejpam-3953	200	10	,	,	PUNCT
ejpam-3953	200	11	r	r	NOUN
ejpam-3953	200	12	,	,	PUNCT
ejpam-3953	200	13	m	m	NOUN
ejpam-3953	200	14	)	)	PUNCT
ejpam-3953	200	15	)	)	PUNCT
ejpam-3953	201	1	=	=	SYM
ejpam-3953	201	2	0	0	NUM
ejpam-3953	202	1	for	for	ADP
ejpam-3953	202	2	k	k	PROPN
ejpam-3953	202	3	<	<	X
ejpam-3953	202	4	n.	n.	PROPN
ejpam-3953	202	5	for	for	ADP
ejpam-3953	202	6	k	k	PROPN
ejpam-3953	202	7	=	=	SYM
ejpam-3953	202	8	n	n	CCONJ
ejpam-3953	202	9	,	,	PUNCT
ejpam-3953	202	10	xnhn	xnhn	PROPN
ejpam-3953	202	11	,	,	PUNCT
ejpam-3953	202	12	q(x	q(x	PROPN
ejpam-3953	202	13	,	,	PUNCT
ejpam-3953	202	14	a	a	DET
ejpam-3953	202	15	,	,	PUNCT
ejpam-3953	202	16	r	r	NOUN
ejpam-3953	202	17	,	,	PUNCT
ejpam-3953	202	18	m	m	NOUN
ejpam-3953	202	19	)	)	PUNCT
ejpam-3953	202	20	=	=	SYM
ejpam-3953	202	21	g(n)xn−1hn+1,q(x	g(n)xn−1hn+1,q(x	PROPN
ejpam-3953	202	22	,	,	PUNCT
ejpam-3953	202	23	a	a	PRON
ejpam-3953	202	24	,	,	PUNCT
ejpam-3953	202	25	r	r	NOUN
ejpam-3953	202	26	,	,	PUNCT
ejpam-3953	202	27	m	m	NOUN
ejpam-3953	202	28	)	)	PUNCT
ejpam-3953	203	1	+	+	CCONJ
ejpam-3953	203	2	f(n)xn−1hn	f(n)xn−1hn	NOUN
ejpam-3953	203	3	,	,	PUNCT
ejpam-3953	203	4	q(x	q(x	PROPN
ejpam-3953	203	5	,	,	PUNCT
ejpam-3953	203	6	a	a	PRON
ejpam-3953	203	7	,	,	PUNCT
ejpam-3953	203	8	r	r	NOUN
ejpam-3953	203	9	,	,	PUNCT
ejpam-3953	203	10	m	m	NOUN
ejpam-3953	203	11	)	)	PUNCT
ejpam-3953	204	1	+	+	CCONJ
ejpam-3953	204	2	c(n)xn−1hn−1,q(x	c(n)xn−1hn−1,q(x	PROPN
ejpam-3953	204	3	,	,	PUNCT
ejpam-3953	204	4	a	a	PRON
ejpam-3953	204	5	,	,	PUNCT
ejpam-3953	204	6	r	r	NOUN
ejpam-3953	204	7	,	,	PUNCT
ejpam-3953	204	8	m	m	NOUN
ejpam-3953	204	9	)	)	PUNCT
ejpam-3953	204	10	.	.	PUNCT
ejpam-3953	205	1	then	then	ADV
ejpam-3953	205	2	,	,	PUNCT
ejpam-3953	205	3	gr	gr	PROPN
ejpam-3953	205	4	,	,	PUNCT
ejpam-3953	205	5	q	q	X
ejpam-3953	205	6	(	(	PUNCT
ejpam-3953	205	7	xnhn	xnhn	PROPN
ejpam-3953	205	8	,	,	PUNCT
ejpam-3953	205	9	q(x	q(x	PROPN
ejpam-3953	205	10	,	,	PUNCT
ejpam-3953	205	11	a	a	PRON
ejpam-3953	205	12	,	,	PUNCT
ejpam-3953	205	13	r	r	NOUN
ejpam-3953	205	14	,	,	PUNCT
ejpam-3953	205	15	m	m	NOUN
ejpam-3953	205	16	)	)	PUNCT
ejpam-3953	205	17	)	)	PUNCT
ejpam-3953	206	1	=	=	X
ejpam-3953	206	2	g(n)gr	g(n)gr	PROPN
ejpam-3953	206	3	,	,	PUNCT
ejpam-3953	206	4	q	q	X
ejpam-3953	206	5	(	(	PUNCT
ejpam-3953	206	6	xn−1hn+1,q(x	xn−1hn+1,q(x	NUM
ejpam-3953	206	7	,	,	PUNCT
ejpam-3953	206	8	a	a	PRON
ejpam-3953	206	9	,	,	PUNCT
ejpam-3953	206	10	r	r	NOUN
ejpam-3953	206	11	,	,	PUNCT
ejpam-3953	206	12	m	m	NOUN
ejpam-3953	206	13	)	)	PUNCT
ejpam-3953	206	14	)	)	PUNCT
ejpam-3953	207	1	+	+	CCONJ
ejpam-3953	207	2	f(n)gr	f(n)gr	PROPN
ejpam-3953	207	3	,	,	PUNCT
ejpam-3953	207	4	q	q	X
ejpam-3953	207	5	(	(	PUNCT
ejpam-3953	207	6	xn−1hn	xn−1hn	PROPN
ejpam-3953	207	7	,	,	PUNCT
ejpam-3953	207	8	q(x	q(x	NOUN
ejpam-3953	207	9	,	,	PUNCT
ejpam-3953	207	10	a	a	PRON
ejpam-3953	207	11	,	,	PUNCT
ejpam-3953	207	12	r	r	NOUN
ejpam-3953	207	13	,	,	PUNCT
ejpam-3953	207	14	m	m	NOUN
ejpam-3953	207	15	)	)	PUNCT
ejpam-3953	207	16	)	)	PUNCT
ejpam-3953	208	1	+	+	CCONJ
ejpam-3953	208	2	c(n)gr	c(n)gr	PROPN
ejpam-3953	208	3	,	,	PUNCT
ejpam-3953	208	4	q	q	PUNCT
ejpam-3953	208	5	(	(	PUNCT
ejpam-3953	208	6	xn−1hn−1,q(x	xn−1hn−1,q(x	PROPN
ejpam-3953	208	7	,	,	PUNCT
ejpam-3953	208	8	a	a	PRON
ejpam-3953	208	9	,	,	PUNCT
ejpam-3953	208	10	r	r	NOUN
ejpam-3953	208	11	,	,	PUNCT
ejpam-3953	208	12	m	m	NOUN
ejpam-3953	208	13	)	)	PUNCT
ejpam-3953	208	14	)	)	PUNCT
ejpam-3953	209	1	=	=	SYM
ejpam-3953	209	2	c(n)gr	c(n)gr	PROPN
ejpam-3953	209	3	,	,	PUNCT
ejpam-3953	209	4	q	q	PUNCT
ejpam-3953	209	5	(	(	PUNCT
ejpam-3953	209	6	xn−1hn−1,q(x	xn−1hn−1,q(x	PROPN
ejpam-3953	209	7	,	,	PUNCT
ejpam-3953	209	8	a	a	PRON
ejpam-3953	209	9	,	,	PUNCT
ejpam-3953	209	10	r	r	NOUN
ejpam-3953	209	11	,	,	PUNCT
ejpam-3953	209	12	m	m	NOUN
ejpam-3953	209	13	)	)	PUNCT
ejpam-3953	209	14	)	)	PUNCT
ejpam-3953	210	1	=	=	PRON
ejpam-3953	210	2	c(n)c(n−	c(n)c(n−	PROPN
ejpam-3953	210	3	1)gr	1)gr	NUM
ejpam-3953	210	4	,	,	PUNCT
ejpam-3953	210	5	q	q	X
ejpam-3953	210	6	(	(	PUNCT
ejpam-3953	210	7	xn−2hn−2,q(x	xn−2hn−2,q(x	PROPN
ejpam-3953	210	8	,	,	PUNCT
ejpam-3953	210	9	a	a	PRON
ejpam-3953	210	10	,	,	PUNCT
ejpam-3953	210	11	r	r	NOUN
ejpam-3953	210	12	,	,	PUNCT
ejpam-3953	210	13	m	m	NOUN
ejpam-3953	210	14	)	)	PUNCT
ejpam-3953	210	15	)	)	PUNCT
ejpam-3953	211	1	=	=	PRON
ejpam-3953	211	2	c(n)c(n−	c(n)c(n−	NUM
ejpam-3953	211	3	1)c(n−	1)c(n−	NUM
ejpam-3953	211	4	2)gr	2)gr	NUM
ejpam-3953	211	5	,	,	PUNCT
ejpam-3953	211	6	q	q	X
ejpam-3953	211	7	(	(	PUNCT
ejpam-3953	211	8	xn−3hn−3,q(x	xn−3hn−3,q(x	ADP
ejpam-3953	211	9	,	,	PUNCT
ejpam-3953	211	10	a	a	PRON
ejpam-3953	211	11	,	,	PUNCT
ejpam-3953	211	12	r	r	NOUN
ejpam-3953	211	13	,	,	PUNCT
ejpam-3953	211	14	m	m	NOUN
ejpam-3953	211	15	)	)	PUNCT
ejpam-3953	211	16	)	)	PUNCT
ejpam-3953	211	17	...	...	PUNCT
ejpam-3953	212	1	=	=	PRON
ejpam-3953	212	2	c(n)c(n−	c(n)c(n−	NOUN
ejpam-3953	212	3	1)c(n−	1)c(n−	NUM
ejpam-3953	212	4	2	2	NUM
ejpam-3953	212	5	)	)	PUNCT
ejpam-3953	212	6	.	.	PUNCT
ejpam-3953	212	7	.	.	PUNCT
ejpam-3953	212	8	.	.	PUNCT
ejpam-3953	213	1	c(1)gr	c(1)gr	NOUN
ejpam-3953	213	2	,	,	PUNCT
ejpam-3953	213	3	q	q	PROPN
ejpam-3953	213	4	(	(	PUNCT
ejpam-3953	213	5	x0h0,q(x	x0h0,q(x	PROPN
ejpam-3953	213	6	,	,	PUNCT
ejpam-3953	213	7	a	a	PRON
ejpam-3953	213	8	,	,	PUNCT
ejpam-3953	213	9	r	r	NOUN
ejpam-3953	213	10	,	,	PUNCT
ejpam-3953	213	11	m	m	NOUN
ejpam-3953	213	12	)	)	PUNCT
ejpam-3953	213	13	)	)	PUNCT
ejpam-3953	214	1	=	=	PUNCT
ejpam-3953	214	2	[	[	PUNCT
ejpam-3953	214	3	n∏	n∏	PROPN
ejpam-3953	214	4	i=1	i=1	PROPN
ejpam-3953	214	5	c(i	c(i	PROPN
ejpam-3953	214	6	)	)	PUNCT
ejpam-3953	214	7	]	]	PUNCT
ejpam-3953	215	1	(	(	PUNCT
ejpam-3953	215	2	1	1	X
ejpam-3953	215	3	)	)	PUNCT
ejpam-3953	215	4	=	=	PUNCT
ejpam-3953	215	5	n∏	n∏	PROPN
ejpam-3953	215	6	i=1	i=1	PRON
ejpam-3953	215	7	c(i	c(i	PROPN
ejpam-3953	215	8	)	)	PUNCT
ejpam-3953	215	9	since	since	SCONJ
ejpam-3953	215	10	xnhn	xnhn	PROPN
ejpam-3953	215	11	,	,	PUNCT
ejpam-3953	215	12	q(x	q(x	PROPN
ejpam-3953	215	13	,	,	PUNCT
ejpam-3953	215	14	a	a	PRON
ejpam-3953	215	15	,	,	PUNCT
ejpam-3953	215	16	r	r	NOUN
ejpam-3953	215	17	,	,	PUNCT
ejpam-3953	215	18	m	m	NOUN
ejpam-3953	215	19	)	)	PUNCT
ejpam-3953	215	20	is	be	AUX
ejpam-3953	215	21	a	a	DET
ejpam-3953	215	22	sequence	sequence	NOUN
ejpam-3953	215	23	of	of	ADP
ejpam-3953	215	24	orthogonal	orthogonal	ADJ
ejpam-3953	215	25	polynomials	polynomial	NOUN
ejpam-3953	215	26	with	with	ADP
ejpam-3953	215	27	respect	respect	NOUN
ejpam-3953	215	28	to	to	ADP
ejpam-3953	215	29	linear	linear	ADJ
ejpam-3953	215	30	functional	functional	ADJ
ejpam-3953	215	31	gr	gr	NOUN
ejpam-3953	215	32	,	,	PUNCT
ejpam-3953	215	33	q	q	NOUN
ejpam-3953	215	34	,	,	PUNCT
ejpam-3953	215	35	dn	dn	PROPN
ejpam-3953	215	36	,	,	PUNCT
ejpam-3953	215	37	q	q	NOUN
ejpam-3953	216	1	=	=	SYM
ejpam-3953	216	2	gr	gr	PROPN
ejpam-3953	216	3	,	,	PUNCT
ejpam-3953	216	4	q	q	X
ejpam-3953	216	5	(	(	PUNCT
ejpam-3953	216	6	xnhn	xnhn	PROPN
ejpam-3953	216	7	,	,	PUNCT
ejpam-3953	216	8	q(x	q(x	PROPN
ejpam-3953	216	9	,	,	PUNCT
ejpam-3953	216	10	a	a	PRON
ejpam-3953	216	11	,	,	PUNCT
ejpam-3953	216	12	r	r	NOUN
ejpam-3953	216	13	,	,	PUNCT
ejpam-3953	216	14	m	m	NOUN
ejpam-3953	216	15	)	)	PUNCT
ejpam-3953	216	16	)	)	PUNCT
ejpam-3953	217	1	=	=	PUNCT
ejpam-3953	217	2	n∏	n∏	PROPN
ejpam-3953	217	3	i=1	i=1	PRON
ejpam-3953	217	4	c(i	c(i	PROPN
ejpam-3953	217	5	)	)	PUNCT
ejpam-3953	217	6	where	where	SCONJ
ejpam-3953	217	7	c(i	c(i	NOUN
ejpam-3953	217	8	)	)	PUNCT
ejpam-3953	217	9	=	=	SYM
ejpam-3953	217	10	(	(	PUNCT
ejpam-3953	217	11	(	(	PUNCT
ejpam-3953	217	12	qmi	qmi	PROPN
ejpam-3953	217	13	−	−	PROPN
ejpam-3953	217	14	1)qrq2i−2a2	1)qrq2i−2a2	PROPN
ejpam-3953	218	1	+	+	CCONJ
ejpam-3953	218	2	qr[m]q[i]qmq	qr[m]q[i]qmq	NOUN
ejpam-3953	218	3	i−1a)qm(i−1)+r	i−1a)qm(i−1)+r	NOUN
ejpam-3953	218	4	then	then	ADV
ejpam-3953	218	5	dn	dn	PROPN
ejpam-3953	218	6	,	,	PUNCT
ejpam-3953	218	7	q(n	q(n	ADJ
ejpam-3953	218	8	,	,	PUNCT
ejpam-3953	218	9	0	0	NUM
ejpam-3953	218	10	)	)	PUNCT
ejpam-3953	218	11	=	=	SYM
ejpam-3953	218	12	gr	gr	PROPN
ejpam-3953	218	13	,	,	PUNCT
ejpam-3953	218	14	q	q	X
ejpam-3953	219	1	[	[	PUNCT
ejpam-3953	219	2	[	[	X
ejpam-3953	219	3	x]nqhn	x]nqhn	NOUN
ejpam-3953	219	4	,	,	PUNCT
ejpam-3953	219	5	q(x	q(x	PROPN
ejpam-3953	219	6	,	,	PUNCT
ejpam-3953	219	7	a	a	PRON
ejpam-3953	219	8	,	,	PUNCT
ejpam-3953	219	9	r	r	NOUN
ejpam-3953	219	10	,	,	PUNCT
ejpam-3953	219	11	m	m	NOUN
ejpam-3953	219	12	)	)	PUNCT
ejpam-3953	219	13	]	]	PUNCT
ejpam-3953	220	1	=	=	PUNCT
ejpam-3953	220	2	n−1∏	n−1∏	PROPN
ejpam-3953	220	3	i=0	i=0	PROPN
ejpam-3953	220	4	di	di	PROPN
ejpam-3953	220	5	,	,	PUNCT
ejpam-3953	220	6	q	q	PROPN
ejpam-3953	220	7	r.	r.	PROPN
ejpam-3953	220	8	corcino	corcino	PROPN
ejpam-3953	220	9	/	/	SYM
ejpam-3953	220	10	eur	eur	PROPN
ejpam-3953	220	11	.	.	PUNCT
ejpam-3953	221	1	j.	j.	PROPN
ejpam-3953	221	2	pure	pure	PROPN
ejpam-3953	221	3	appl	appl	PROPN
ejpam-3953	221	4	.	.	PROPN
ejpam-3953	221	5	math	math	PROPN
ejpam-3953	221	6	,	,	PUNCT
ejpam-3953	221	7	14	14	NUM
ejpam-3953	221	8	(	(	PUNCT
ejpam-3953	221	9	3	3	NUM
ejpam-3953	221	10	)	)	PUNCT
ejpam-3953	221	11	(	(	PUNCT
ejpam-3953	221	12	2021	2021	NUM
ejpam-3953	221	13	)	)	PUNCT
ejpam-3953	221	14	,	,	PUNCT
ejpam-3953	221	15	746	746	NUM
ejpam-3953	221	16	-	-	SYM
ejpam-3953	221	17	759	759	NUM
ejpam-3953	221	18	756	756	NUM
ejpam-3953	221	19	=	=	SYM
ejpam-3953	221	20	n−1∏	n−1∏	PROPN
ejpam-3953	221	21	i=0	i=0	PROPN
ejpam-3953	221	22			PUNCT
ejpam-3953	221	23	i∏	i∏	PROPN
ejpam-3953	221	24	j=1	j=1	NOUN
ejpam-3953	221	25	[	[	PUNCT
ejpam-3953	221	26	(	(	PUNCT
ejpam-3953	221	27	(	(	PUNCT
ejpam-3953	221	28	qmj	qmj	X
ejpam-3953	221	29	−	−	PROPN
ejpam-3953	221	30	1)qrq2j−2a2	1)qrq2j−2a2	PROPN
ejpam-3953	221	31	+	+	CCONJ
ejpam-3953	221	32	qr[m]q[j]qmq	qr[m]q[j]qmq	ADJ
ejpam-3953	221	33	j−1a)qm(j−1)+r	j−1a)qm(j−1)+r	NOUN
ejpam-3953	221	34	]	]	X
ejpam-3953	221	35			PROPN
ejpam-3953	221	36	=	=	SYM
ejpam-3953	221	37	n−1∏	n−1∏	PROPN
ejpam-3953	221	38	i=0	i=0	PROPN
ejpam-3953	221	39			PUNCT
ejpam-3953	221	40	i∏	i∏	PROPN
ejpam-3953	221	41	j=1	j=1	NOUN
ejpam-3953	221	42	[	[	PUNCT
ejpam-3953	221	43	aqm(j−1)+2r((qmj	aqm(j−1)+2r((qmj	NOUN
ejpam-3953	221	44	−	−	PROPN
ejpam-3953	221	45	1)q2j−2a+	1)q2j−2a+	PROPN
ejpam-3953	222	1	[	[	X
ejpam-3953	222	2	m]q[j]qmq	m]q[j]qmq	PROPN
ejpam-3953	222	3	j−1	j−1	PROPN
ejpam-3953	222	4	)	)	PUNCT
ejpam-3953	222	5	]	]	PUNCT
ejpam-3953	223	1			NOUN
ejpam-3953	223	2	=	=	SYM
ejpam-3953	223	3	n−1∏	n−1∏	PROPN
ejpam-3953	223	4	i=0	i=0	PROPN
ejpam-3953	223	5	q2riqm(1	q2riqm(1	X
ejpam-3953	223	6	+	+	ADJ
ejpam-3953	223	7	2	2	NUM
ejpam-3953	223	8	+	+	NOUN
ejpam-3953	223	9	3+···+(i−1))ai	3+···+(i−1))ai	NUM
ejpam-3953	223	10	i∏	i∏	VERB
ejpam-3953	223	11	j=1	j=1	NOUN
ejpam-3953	223	12	[	[	PUNCT
ejpam-3953	223	13	(	(	PUNCT
ejpam-3953	223	14	(	(	PUNCT
ejpam-3953	223	15	qmj	qmj	X
ejpam-3953	223	16	−	−	PROPN
ejpam-3953	223	17	1)q2j−2a+	1)q2j−2a+	PROPN
ejpam-3953	224	1	[	[	X
ejpam-3953	224	2	m]q[j]qmq	m]q[j]qmq	PROPN
ejpam-3953	224	3	j−1	j−1	PROPN
ejpam-3953	224	4	)	)	PUNCT
ejpam-3953	224	5	]	]	PUNCT
ejpam-3953	225	1	=	=	PUNCT
ejpam-3953	225	2	n−1∏	n−1∏	PROPN
ejpam-3953	225	3	i=0	i=0	PROPN
ejpam-3953	225	4	q2riqm(i	q2riqm(i	PROPN
ejpam-3953	225	5	2)ai	2)ai	PROPN
ejpam-3953	225	6	i∏	i∏	VERB
ejpam-3953	225	7	j=1	j=1	NOUN
ejpam-3953	225	8	[	[	PUNCT
ejpam-3953	225	9	(	(	PUNCT
ejpam-3953	225	10	(	(	PUNCT
ejpam-3953	225	11	qmj	qmj	X
ejpam-3953	225	12	−	−	PROPN
ejpam-3953	225	13	1)q2j−2a+	1)q2j−2a+	PROPN
ejpam-3953	225	14	[	[	X
ejpam-3953	225	15	m]q[j]qmq	m]q[j]qmq	PROPN
ejpam-3953	225	16	j−1	j−1	PROPN
ejpam-3953	225	17	)	)	PUNCT
ejpam-3953	225	18	]	]	PUNCT
ejpam-3953	226	1	=	=	PUNCT
ejpam-3953	226	2	q2r(0	q2r(0	VERB
ejpam-3953	226	3	+	+	NOUN
ejpam-3953	226	4	1	1	NUM
ejpam-3953	226	5	+	+	SYM
ejpam-3953	226	6	2	2	NUM
ejpam-3953	226	7	+	+	NOUN
ejpam-3953	226	8	3+···+(n−1))+m[(22)+(32)+···+(n−1	3+···+(n−1))+m[(22)+(32)+···+(n−1	NUM
ejpam-3953	226	9	2	2	NUM
ejpam-3953	226	10	)	)	PUNCT
ejpam-3953	226	11	]	]	PUNCT
ejpam-3953	226	12	a0	a0	X
ejpam-3953	226	13	+	+	PROPN
ejpam-3953	226	14	1	1	NUM
ejpam-3953	226	15	+	+	NOUN
ejpam-3953	226	16	2+···+(n−1	2+···+(n−1	NUM
ejpam-3953	226	17	)	)	PUNCT
ejpam-3953	226	18	n−1∏	n−1∏	PROPN
ejpam-3953	226	19	i=0	i=0	PROPN
ejpam-3953	226	20	i∏	i∏	PROPN
ejpam-3953	226	21	j=1	j=1	NOUN
ejpam-3953	226	22	[	[	PUNCT
ejpam-3953	226	23	(	(	PUNCT
ejpam-3953	226	24	(	(	PUNCT
ejpam-3953	226	25	qmj	qmj	X
ejpam-3953	226	26	−	−	PROPN
ejpam-3953	226	27	1)q2j−2a+	1)q2j−2a+	PROPN
ejpam-3953	226	28	[	[	X
ejpam-3953	226	29	m]q[j]qmq	m]q[j]qmq	PROPN
ejpam-3953	226	30	j−1	j−1	PROPN
ejpam-3953	226	31	)	)	PUNCT
ejpam-3953	226	32	]	]	PUNCT
ejpam-3953	227	1	=	=	PUNCT
ejpam-3953	227	2	q2r	q2r	PROPN
ejpam-3953	227	3	(	(	PUNCT
ejpam-3953	227	4	n	n	PROPN
ejpam-3953	227	5	2)+(m+1)(n3)a(n2	2)+(m+1)(n3)a(n2	NUM
ejpam-3953	227	6	)	)	PUNCT
ejpam-3953	227	7	n−1∏	n−1∏	PROPN
ejpam-3953	227	8	i=0	i=0	PROPN
ejpam-3953	227	9	i∏	i∏	PROPN
ejpam-3953	227	10	j=1	j=1	NOUN
ejpam-3953	227	11	[	[	PUNCT
ejpam-3953	227	12	(	(	PUNCT
ejpam-3953	227	13	(	(	PUNCT
ejpam-3953	227	14	qmj	qmj	X
ejpam-3953	227	15	−	−	PROPN
ejpam-3953	227	16	1)q2j−2a+	1)q2j−2a+	PROPN
ejpam-3953	227	17	[	[	X
ejpam-3953	227	18	m]q[j]qmq	m]q[j]qmq	PROPN
ejpam-3953	227	19	j−1	j−1	PROPN
ejpam-3953	227	20	)	)	PUNCT
ejpam-3953	227	21	]	]	PUNCT
ejpam-3953	228	1	=	=	PUNCT
ejpam-3953	228	2	q2r	q2r	PROPN
ejpam-3953	228	3	(	(	PUNCT
ejpam-3953	228	4	n	n	NOUN
ejpam-3953	228	5	2)+m(n3)a(n2	2)+m(n3)a(n2	NUM
ejpam-3953	228	6	)	)	PUNCT
ejpam-3953	228	7	n−1∏	n−1∏	PROPN
ejpam-3953	228	8	i=0	i=0	PROPN
ejpam-3953	228	9	q	q	X
ejpam-3953	228	10	(	(	PUNCT
ejpam-3953	228	11	i	i	NOUN
ejpam-3953	228	12	2	2	X
ejpam-3953	228	13	)	)	PUNCT
ejpam-3953	228	14	i∏	i∏	VERB
ejpam-3953	228	15	j=1	j=1	NOUN
ejpam-3953	229	1	[	[	PUNCT
ejpam-3953	229	2	[	[	X
ejpam-3953	229	3	mj]q	mj]q	X
ejpam-3953	229	4	(	(	PUNCT
ejpam-3953	229	5	1−	1−	NUM
ejpam-3953	229	6	qj	qj	PROPN
ejpam-3953	229	7	(	(	PUNCT
ejpam-3953	229	8	1−	1−	NUM
ejpam-3953	229	9	q	q	NOUN
ejpam-3953	229	10	q	q	NOUN
ejpam-3953	229	11	)	)	PUNCT
ejpam-3953	229	12	a	a	PRON
ejpam-3953	229	13	)	)	PUNCT
ejpam-3953	229	14	]	]	PUNCT
ejpam-3953	230	1	=	=	PUNCT
ejpam-3953	230	2	q2r	q2r	PROPN
ejpam-3953	230	3	(	(	PUNCT
ejpam-3953	230	4	n	n	PROPN
ejpam-3953	230	5	2)+(m+1)(n3)a(n2	2)+(m+1)(n3)a(n2	NUM
ejpam-3953	230	6	)	)	PUNCT
ejpam-3953	230	7	n−1∏	n−1∏	PROPN
ejpam-3953	230	8	i=0	i=0	PROPN
ejpam-3953	230	9	i∏	i∏	PROPN
ejpam-3953	230	10	j=1	j=1	NOUN
ejpam-3953	230	11	[	[	PUNCT
ejpam-3953	230	12	[	[	X
ejpam-3953	230	13	mj]q	mj]q	X
ejpam-3953	230	14	(	(	PUNCT
ejpam-3953	230	15	1−	1−	NUM
ejpam-3953	230	16	qj−1(1−	qj−1(1−	ADJ
ejpam-3953	230	17	q)a	q)a	NOUN
ejpam-3953	230	18	)	)	PUNCT
ejpam-3953	230	19	]	]	PUNCT
ejpam-3953	230	20	.	.	PUNCT
ejpam-3953	231	1	this	this	DET
ejpam-3953	231	2	result	result	NOUN
ejpam-3953	231	3	is	be	AUX
ejpam-3953	231	4	stated	state	VERB
ejpam-3953	231	5	formally	formally	ADV
ejpam-3953	231	6	in	in	ADP
ejpam-3953	231	7	the	the	DET
ejpam-3953	231	8	following	follow	VERB
ejpam-3953	231	9	theorem	theorem	PROPN
ejpam-3953	231	10	.	.	PUNCT
ejpam-3953	231	11	theorem	theorem	PROPN
ejpam-3953	231	12	3.1	3.1	NUM
ejpam-3953	231	13	.	.	PUNCT
ejpam-3953	232	1	the	the	DET
ejpam-3953	232	2	hankel	hankel	NOUN
ejpam-3953	232	3	transform	transform	NOUN
ejpam-3953	232	4	of	of	ADP
ejpam-3953	232	5	φn[x	φn[x	NOUN
ejpam-3953	232	6	,	,	PUNCT
ejpam-3953	232	7	r	r	NOUN
ejpam-3953	232	8	,	,	PUNCT
ejpam-3953	232	9	m]q	m]q	NOUN
ejpam-3953	232	10	corresponding	correspond	VERB
ejpam-3953	232	11	to	to	ADP
ejpam-3953	232	12	the	the	DET
ejpam-3953	232	13	0th	0th	ADJ
ejpam-3953	232	14	hankel	hankel	NOUN
ejpam-3953	232	15	determinant	determinant	ADJ
ejpam-3953	232	16	is	be	AUX
ejpam-3953	232	17	given	give	VERB
ejpam-3953	232	18	by	by	ADP
ejpam-3953	232	19	h	h	PROPN
ejpam-3953	232	20	(	(	PUNCT
ejpam-3953	232	21	φn[x	φn[x	PROPN
ejpam-3953	232	22	,	,	PUNCT
ejpam-3953	232	23	r	r	NOUN
ejpam-3953	232	24	,	,	PUNCT
ejpam-3953	232	25	m]q	m]q	PROPN
ejpam-3953	232	26	)	)	PUNCT
ejpam-3953	232	27	=	=	SYM
ejpam-3953	232	28	q2r	q2r	PROPN
ejpam-3953	232	29	(	(	PUNCT
ejpam-3953	232	30	n	n	PROPN
ejpam-3953	232	31	2)+(m+1)(n3)a(n2	2)+(m+1)(n3)a(n2	NUM
ejpam-3953	232	32	)	)	PUNCT
ejpam-3953	232	33	n−1∏	n−1∏	PROPN
ejpam-3953	232	34	i=0	i=0	PROPN
ejpam-3953	232	35	i∏	i∏	PROPN
ejpam-3953	232	36	j=1	j=1	NOUN
ejpam-3953	233	1	[	[	PUNCT
ejpam-3953	233	2	[	[	X
ejpam-3953	233	3	mj]q	mj]q	X
ejpam-3953	233	4	(	(	PUNCT
ejpam-3953	233	5	1−	1−	NUM
ejpam-3953	233	6	qj−1(1−	qj−1(1−	ADJ
ejpam-3953	233	7	q)a	q)a	NOUN
ejpam-3953	233	8	)	)	PUNCT
ejpam-3953	233	9	]	]	PUNCT
ejpam-3953	233	10	.	.	PUNCT
ejpam-3953	234	1	(	(	PUNCT
ejpam-3953	234	2	17	17	NUM
ejpam-3953	234	3	)	)	PUNCT
ejpam-3953	234	4	note	note	NOUN
ejpam-3953	234	5	that	that	SCONJ
ejpam-3953	234	6	when	when	SCONJ
ejpam-3953	234	7	m	m	VERB
ejpam-3953	234	8	=	=	SYM
ejpam-3953	234	9	1	1	NUM
ejpam-3953	234	10	,	,	PUNCT
ejpam-3953	234	11	(	(	PUNCT
ejpam-3953	234	12	17	17	NUM
ejpam-3953	234	13	)	)	PUNCT
ejpam-3953	234	14	yields	yield	NOUN
ejpam-3953	234	15	h	h	NOUN
ejpam-3953	234	16	(	(	PUNCT
ejpam-3953	234	17	φn[x	φn[x	PROPN
ejpam-3953	234	18	,	,	PUNCT
ejpam-3953	234	19	r	r	NOUN
ejpam-3953	234	20	,	,	PUNCT
ejpam-3953	234	21	1]q	1]q	NUM
ejpam-3953	234	22	)	)	PUNCT
ejpam-3953	235	1	=	=	SYM
ejpam-3953	235	2	q2r	q2r	PROPN
ejpam-3953	235	3	(	(	PUNCT
ejpam-3953	235	4	n	n	NOUN
ejpam-3953	235	5	2)+2(n3)a(n2	2)+2(n3)a(n2	NUM
ejpam-3953	235	6	)	)	PUNCT
ejpam-3953	235	7	n−1∏	n−1∏	PROPN
ejpam-3953	235	8	i=0	i=0	PROPN
ejpam-3953	235	9	[	[	X
ejpam-3953	235	10	i]q!((1−	i]q!((1−	NOUN
ejpam-3953	235	11	q)a	q)a	NOUN
ejpam-3953	235	12	;	;	PUNCT
ejpam-3953	235	13	q)i	q)i	VERB
ejpam-3953	235	14	where	where	SCONJ
ejpam-3953	235	15	(	(	PUNCT
ejpam-3953	235	16	x	x	NOUN
ejpam-3953	235	17	;	;	PUNCT
ejpam-3953	235	18	q)i	q)i	ADJ
ejpam-3953	235	19	=	=	SYM
ejpam-3953	235	20	i−1∏	i−1∏	PROPN
ejpam-3953	235	21	j=0	j=0	PROPN
ejpam-3953	235	22	(	(	PUNCT
ejpam-3953	235	23	1−	1−	NUM
ejpam-3953	235	24	qjx	qjx	NOUN
ejpam-3953	235	25	)	)	PUNCT
ejpam-3953	235	26	.	.	PUNCT
ejpam-3953	236	1	this	this	PRON
ejpam-3953	236	2	is	be	AUX
ejpam-3953	236	3	exactly	exactly	ADV
ejpam-3953	236	4	the	the	DET
ejpam-3953	236	5	result	result	NOUN
ejpam-3953	236	6	obtained	obtain	VERB
ejpam-3953	236	7	by	by	ADP
ejpam-3953	236	8	cigler	cigler	NOUN
ejpam-3953	236	9	[	[	X
ejpam-3953	236	10	2	2	NUM
ejpam-3953	236	11	]	]	PUNCT
ejpam-3953	236	12	.	.	PUNCT
ejpam-3953	237	1	r.	r.	PROPN
ejpam-3953	237	2	corcino	corcino	PROPN
ejpam-3953	237	3	/	/	SYM
ejpam-3953	237	4	eur	eur	PROPN
ejpam-3953	237	5	.	.	PUNCT
ejpam-3953	238	1	j.	j.	PROPN
ejpam-3953	238	2	pure	pure	PROPN
ejpam-3953	238	3	appl	appl	PROPN
ejpam-3953	238	4	.	.	PROPN
ejpam-3953	238	5	math	math	PROPN
ejpam-3953	238	6	,	,	PUNCT
ejpam-3953	238	7	14	14	NUM
ejpam-3953	238	8	(	(	PUNCT
ejpam-3953	238	9	3	3	NUM
ejpam-3953	238	10	)	)	PUNCT
ejpam-3953	238	11	(	(	PUNCT
ejpam-3953	238	12	2021	2021	NUM
ejpam-3953	238	13	)	)	PUNCT
ejpam-3953	238	14	,	,	PUNCT
ejpam-3953	238	15	746	746	NUM
ejpam-3953	238	16	-	-	SYM
ejpam-3953	238	17	759	759	NUM
ejpam-3953	238	18	757	757	NUM
ejpam-3953	238	19	as	as	ADP
ejpam-3953	238	20	a	a	DET
ejpam-3953	238	21	direct	direct	ADJ
ejpam-3953	238	22	consequence	consequence	NOUN
ejpam-3953	238	23	of	of	ADP
ejpam-3953	238	24	theorem	theorem	NOUN
ejpam-3953	238	25	3.1	3.1	NUM
ejpam-3953	239	1	,	,	PUNCT
ejpam-3953	239	2	we	we	PRON
ejpam-3953	239	3	have	have	VERB
ejpam-3953	239	4	the	the	DET
ejpam-3953	239	5	following	follow	VERB
ejpam-3953	239	6	corollary	corollary	NOUN
ejpam-3953	239	7	,	,	PUNCT
ejpam-3953	239	8	which	which	PRON
ejpam-3953	239	9	contains	contain	VERB
ejpam-3953	239	10	the	the	DET
ejpam-3953	239	11	main	main	ADJ
ejpam-3953	239	12	result	result	NOUN
ejpam-3953	239	13	of	of	ADP
ejpam-3953	239	14	this	this	DET
ejpam-3953	239	15	paper	paper	NOUN
ejpam-3953	239	16	.	.	PUNCT
ejpam-3953	240	1	corollary	corollary	ADJ
ejpam-3953	240	2	3.2	3.2	NUM
ejpam-3953	240	3	.	.	PUNCT
ejpam-3953	241	1	the	the	DET
ejpam-3953	241	2	hankel	hankel	NOUN
ejpam-3953	241	3	transform	transform	NOUN
ejpam-3953	241	4	of	of	ADP
ejpam-3953	241	5	the	the	DET
ejpam-3953	241	6	sequence	sequence	NOUN
ejpam-3953	241	7	(	(	PUNCT
ejpam-3953	241	8	dm	dm	NOUN
ejpam-3953	241	9	,	,	PUNCT
ejpam-3953	241	10	r[n]q	r[n]q	NOUN
ejpam-3953	241	11	)	)	PUNCT
ejpam-3953	241	12	∞	∞	PROPN
ejpam-3953	241	13	n=0	n=0	PUNCT
ejpam-3953	241	14	is	be	AUX
ejpam-3953	241	15	given	give	VERB
ejpam-3953	241	16	by	by	ADP
ejpam-3953	241	17	h	h	PROPN
ejpam-3953	241	18	(	(	PUNCT
ejpam-3953	241	19	dm	dm	PROPN
ejpam-3953	241	20	,	,	PUNCT
ejpam-3953	241	21	r[n]q	r[n]q	NOUN
ejpam-3953	241	22	)	)	PUNCT
ejpam-3953	241	23	=	=	SYM
ejpam-3953	241	24	q2r	q2r	PROPN
ejpam-3953	241	25	(	(	PUNCT
ejpam-3953	241	26	n	n	PROPN
ejpam-3953	241	27	2)+(m+1)(n3	2)+(m+1)(n3	NUM
ejpam-3953	241	28	)	)	PUNCT
ejpam-3953	241	29	n−1∏	n−1∏	PROPN
ejpam-3953	241	30	i=0	i=0	PROPN
ejpam-3953	241	31	(	(	PUNCT
ejpam-3953	241	32	(	(	PUNCT
ejpam-3953	241	33	1−	1−	NUM
ejpam-3953	241	34	q)a	q)a	NOUN
ejpam-3953	241	35	;	;	PUNCT
ejpam-3953	241	36	q)i	q)i	ADV
ejpam-3953	241	37	i∏	i∏	VERB
ejpam-3953	241	38	j=1	j=1	NOUN
ejpam-3953	242	1	[	[	X
ejpam-3953	242	2	mj]q	mj]q	PROPN
ejpam-3953	242	3	.	.	PUNCT
ejpam-3953	243	1	theorem	theorem	VERB
ejpam-3953	243	2	3.3	3.3	NUM
ejpam-3953	243	3	.	.	PUNCT
ejpam-3953	244	1	the	the	DET
ejpam-3953	244	2	hankel	hankel	NOUN
ejpam-3953	244	3	transform	transform	NOUN
ejpam-3953	244	4	of	of	ADP
ejpam-3953	244	5	φn[x	φn[x	NOUN
ejpam-3953	244	6	,	,	PUNCT
ejpam-3953	244	7	r	r	NOUN
ejpam-3953	244	8	,	,	PUNCT
ejpam-3953	244	9	m]q	m]q	X
ejpam-3953	244	10	corresponding	correspond	VERB
ejpam-3953	244	11	to	to	ADP
ejpam-3953	244	12	the	the	DET
ejpam-3953	244	13	1st	1st	ADJ
ejpam-3953	244	14	hankel	hankel	NOUN
ejpam-3953	244	15	determinant	determinant	ADJ
ejpam-3953	244	16	is	be	AUX
ejpam-3953	244	17	given	give	VERB
ejpam-3953	244	18	by	by	ADP
ejpam-3953	244	19	dn	dn	PROPN
ejpam-3953	244	20	,	,	PUNCT
ejpam-3953	244	21	q(n	q(n	ADJ
ejpam-3953	244	22	,	,	PUNCT
ejpam-3953	244	23	1	1	NUM
ejpam-3953	244	24	)	)	PUNCT
ejpam-3953	244	25	=	=	SYM
ejpam-3953	244	26	q2r	q2r	PROPN
ejpam-3953	244	27	(	(	PUNCT
ejpam-3953	244	28	n	n	PROPN
ejpam-3953	244	29	2)+(m+1)(n3)a(n2	2)+(m+1)(n3)a(n2	NUM
ejpam-3953	244	30	)	)	PUNCT
ejpam-3953	244	31	n−1∏	n−1∏	PROPN
ejpam-3953	244	32	i=0	i=0	PROPN
ejpam-3953	244	33	(	(	PUNCT
ejpam-3953	244	34	(	(	PUNCT
ejpam-3953	244	35	1−	1−	NUM
ejpam-3953	244	36	q)a	q)a	NOUN
ejpam-3953	244	37	;	;	PUNCT
ejpam-3953	244	38	q)i	q)i	ADV
ejpam-3953	244	39	i∏	i∏	VERB
ejpam-3953	244	40	j=1	j=1	NOUN
ejpam-3953	245	1	[	[	X
ejpam-3953	245	2	mj]q	mj]q	PROPN
ejpam-3953	245	3	n∑	n∑	NOUN
ejpam-3953	245	4	k=0	k=0	PROPN
ejpam-3953	245	5	(	(	PUNCT
ejpam-3953	245	6	−1)n[x]kqq	−1)n[x]kqq	PROPN
ejpam-3953	245	7	(	(	PUNCT
ejpam-3953	245	8	k2	k2	NOUN
ejpam-3953	245	9	)	)	PUNCT
ejpam-3953	245	10	[	[	PUNCT
ejpam-3953	245	11	n	n	X
ejpam-3953	245	12	k	k	NOUN
ejpam-3953	245	13	]	]	PUNCT
ejpam-3953	245	14	q	q	PUNCT
ejpam-3953	246	1	k−1∏	k−1∏	NOUN
ejpam-3953	246	2	j=0	j=0	PROPN
ejpam-3953	247	1	[	[	X
ejpam-3953	247	2	r	r	X
ejpam-3953	247	3	+	+	NUM
ejpam-3953	247	4	jm]q	jm]q	PROPN
ejpam-3953	247	5	qr+jm	qr+jm	NOUN
ejpam-3953	247	6	.	.	PUNCT
ejpam-3953	248	1	proof	proof	NOUN
ejpam-3953	248	2	.	.	PUNCT
ejpam-3953	249	1	from	from	ADP
ejpam-3953	249	2	gram	gram	NOUN
ejpam-3953	249	3	-	-	PUNCT
ejpam-3953	249	4	schmidt	schmidt	NOUN
ejpam-3953	249	5	orthogonalization	orthogonalization	NOUN
ejpam-3953	249	6	process	process	NOUN
ejpam-3953	249	7	,	,	PUNCT
ejpam-3953	249	8	we	we	PRON
ejpam-3953	249	9	obtain	obtain	VERB
ejpam-3953	249	10	dn	dn	ADP
ejpam-3953	249	11	,	,	PUNCT
ejpam-3953	249	12	q(n	q(n	ADJ
ejpam-3953	249	13	,	,	PUNCT
ejpam-3953	249	14	1	1	NUM
ejpam-3953	249	15	)	)	PUNCT
ejpam-3953	249	16	=	=	SYM
ejpam-3953	249	17	dn	dn	PROPN
ejpam-3953	249	18	,	,	PUNCT
ejpam-3953	249	19	q(n	q(n	ADJ
ejpam-3953	249	20	,	,	PUNCT
ejpam-3953	249	21	0)(−1)npn	0)(−1)npn	NOUN
ejpam-3953	249	22	,	,	PUNCT
ejpam-3953	249	23	q(0	q(0	PROPN
ejpam-3953	249	24	)	)	PUNCT
ejpam-3953	249	25	where	where	SCONJ
ejpam-3953	249	26	pn	pn	NOUN
ejpam-3953	249	27	,	,	PUNCT
ejpam-3953	249	28	q(0	q(0	PROPN
ejpam-3953	249	29	)	)	PUNCT
ejpam-3953	249	30	is	be	AUX
ejpam-3953	249	31	a	a	DET
ejpam-3953	249	32	sequence	sequence	NOUN
ejpam-3953	249	33	of	of	ADP
ejpam-3953	249	34	orthogonal	orthogonal	ADJ
ejpam-3953	249	35	polynomials	polynomial	NOUN
ejpam-3953	249	36	i.e.	i.e.	X
ejpam-3953	249	37	,	,	PUNCT
ejpam-3953	249	38	gn	gn	PROPN
ejpam-3953	249	39	,	,	PUNCT
ejpam-3953	249	40	q(x	q(x	PROPN
ejpam-3953	249	41	,	,	PUNCT
ejpam-3953	249	42	a	a	DET
ejpam-3953	249	43	,	,	PUNCT
ejpam-3953	249	44	r	r	NOUN
ejpam-3953	249	45	,	,	PUNCT
ejpam-3953	249	46	m	m	NOUN
ejpam-3953	249	47	)	)	PUNCT
ejpam-3953	250	1	=	=	SYM
ejpam-3953	250	2	n∑	n∑	NOUN
ejpam-3953	250	3	k=0	k=0	PROPN
ejpam-3953	250	4	(	(	PUNCT
ejpam-3953	250	5	−a)k	−a)k	NOUN
ejpam-3953	250	6	q	q	NOUN
ejpam-3953	250	7	(	(	PUNCT
ejpam-3953	250	8	k	k	NOUN
ejpam-3953	250	9	2	2	X
ejpam-3953	250	10	)	)	PUNCT
ejpam-3953	250	11	[	[	PUNCT
ejpam-3953	250	12	n	n	X
ejpam-3953	250	13	k	k	NOUN
ejpam-3953	250	14	]	]	X
ejpam-3953	250	15	q	q	PUNCT
ejpam-3953	250	16	〈	〈	PROPN
ejpam-3953	250	17	〈	〈	PROPN
ejpam-3953	250	18	x〉〉r	x〉〉r	PROPN
ejpam-3953	250	19	,	,	PUNCT
ejpam-3953	250	20	m	m	PROPN
ejpam-3953	250	21	,	,	PUNCT
ejpam-3953	250	22	k	k	PROPN
ejpam-3953	251	1	=	=	SYM
ejpam-3953	251	2	pn	pn	PROPN
ejpam-3953	251	3	,	,	PUNCT
ejpam-3953	251	4	q(x	q(x	PROPN
ejpam-3953	251	5	)	)	PUNCT
ejpam-3953	251	6	which	which	PRON
ejpam-3953	251	7	implies	imply	VERB
ejpam-3953	251	8	pn	pn	PROPN
ejpam-3953	251	9	,	,	PUNCT
ejpam-3953	251	10	q(0	q(0	PROPN
ejpam-3953	251	11	)	)	PUNCT
ejpam-3953	252	1	=	=	SYM
ejpam-3953	252	2	n∑	n∑	NOUN
ejpam-3953	252	3	k=0	k=0	PROPN
ejpam-3953	252	4	(	(	PUNCT
ejpam-3953	252	5	−a)k	−a)k	NOUN
ejpam-3953	252	6	q	q	NOUN
ejpam-3953	252	7	(	(	PUNCT
ejpam-3953	252	8	k	k	NOUN
ejpam-3953	252	9	2	2	X
ejpam-3953	252	10	)	)	PUNCT
ejpam-3953	252	11	[	[	PUNCT
ejpam-3953	252	12	n	n	X
ejpam-3953	252	13	k	k	NOUN
ejpam-3953	252	14	]	]	X
ejpam-3953	252	15	q	q	PUNCT
ejpam-3953	253	1	〈	〈	PROPN
ejpam-3953	253	2	〈	〈	PROPN
ejpam-3953	253	3	0〉〉r	0〉〉r	NUM
ejpam-3953	253	4	,	,	PUNCT
ejpam-3953	253	5	m	m	PROPN
ejpam-3953	253	6	,	,	PUNCT
ejpam-3953	253	7	k.	k.	PROPN
ejpam-3953	253	8	since	since	ADV
ejpam-3953	253	9	,	,	PUNCT
ejpam-3953	253	10	〈	〈	PROPN
ejpam-3953	253	11	〈	〈	PROPN
ejpam-3953	253	12	0〉〉r	0〉〉r	NUM
ejpam-3953	253	13	,	,	PUNCT
ejpam-3953	253	14	m	m	PROPN
ejpam-3953	253	15	,	,	PUNCT
ejpam-3953	253	16	k	k	PROPN
ejpam-3953	253	17	=	=	SYM
ejpam-3953	253	18	k−1∏	k−1∏	PROPN
ejpam-3953	253	19	j=0	j=0	PROPN
ejpam-3953	253	20	(	(	PUNCT
ejpam-3953	253	21	[	[	X
ejpam-3953	253	22	0]q	0]q	NOUN
ejpam-3953	253	23	−	−	PUNCT
ejpam-3953	254	1	[	[	X
ejpam-3953	254	2	r	r	X
ejpam-3953	254	3	+	+	NOUN
ejpam-3953	254	4	jm]q	jm]q	PROPN
ejpam-3953	254	5	)	)	PUNCT
ejpam-3953	254	6	qr+jm	qr+jm	NOUN
ejpam-3953	255	1	=	=	PUNCT
ejpam-3953	255	2	k−1∏	k−1∏	PROPN
ejpam-3953	255	3	j=0	j=0	PROPN
ejpam-3953	255	4	−[r	−[r	PROPN
ejpam-3953	255	5	+	+	CCONJ
ejpam-3953	255	6	jm]q	jm]q	PROPN
ejpam-3953	255	7	qr+jm	qr+jm	NOUN
ejpam-3953	255	8	=	=	PUNCT
ejpam-3953	255	9	(	(	PUNCT
ejpam-3953	255	10	−[r]q	−[r]q	X
ejpam-3953	255	11	qr	qr	NOUN
ejpam-3953	255	12	)	)	PUNCT
ejpam-3953	255	13	(	(	PUNCT
ejpam-3953	255	14	−[r	−[r	VERB
ejpam-3953	255	15	+	+	CCONJ
ejpam-3953	255	16	j]q	j]q	ADJ
ejpam-3953	255	17	qr+m	qr+m	NOUN
ejpam-3953	255	18	)	)	PUNCT
ejpam-3953	255	19	(	(	PUNCT
ejpam-3953	255	20	−[r	−[r	VERB
ejpam-3953	255	21	+	+	CCONJ
ejpam-3953	255	22	(	(	PUNCT
ejpam-3953	255	23	k	k	PROPN
ejpam-3953	255	24	−	−	PROPN
ejpam-3953	255	25	1)m]q	1)m]q	PROPN
ejpam-3953	255	26	qr+(k−1)m	qr+(k−1)m	PROPN
ejpam-3953	255	27	)	)	PUNCT
ejpam-3953	255	28	=	=	PUNCT
ejpam-3953	256	1	(	(	PUNCT
ejpam-3953	256	2	−1)k	−1)k	PROPN
ejpam-3953	256	3	k−1∏	k−1∏	NOUN
ejpam-3953	256	4	j=0	j=0	PUNCT
ejpam-3953	257	1	[	[	X
ejpam-3953	257	2	r	r	X
ejpam-3953	257	3	+	+	NUM
ejpam-3953	257	4	jm]q	jm]q	PROPN
ejpam-3953	257	5	qr+jm	qr+jm	NOUN
ejpam-3953	257	6	.	.	PUNCT
ejpam-3953	258	1	references	reference	NOUN
ejpam-3953	258	2	758	758	NUM
ejpam-3953	258	3	then	then	ADV
ejpam-3953	258	4	,	,	PUNCT
ejpam-3953	258	5	pn	pn	INTJ
ejpam-3953	258	6	,	,	PUNCT
ejpam-3953	258	7	q(0	q(0	PROPN
ejpam-3953	258	8	)	)	PUNCT
ejpam-3953	258	9	=	=	SYM
ejpam-3953	259	1	n∑	n∑	NOUN
ejpam-3953	259	2	k=0	k=0	PROPN
ejpam-3953	259	3	(	(	PUNCT
ejpam-3953	259	4	−a)k	−a)k	NOUN
ejpam-3953	259	5	q	q	NOUN
ejpam-3953	259	6	(	(	PUNCT
ejpam-3953	259	7	k	k	NOUN
ejpam-3953	259	8	2	2	X
ejpam-3953	259	9	)	)	PUNCT
ejpam-3953	259	10	[	[	PUNCT
ejpam-3953	259	11	n	n	X
ejpam-3953	259	12	k	k	X
ejpam-3953	259	13	]	]	X
ejpam-3953	259	14	q	q	X
ejpam-3953	259	15	(	(	PUNCT
ejpam-3953	259	16	−1)k	−1)k	PROPN
ejpam-3953	259	17	k−1∏	k−1∏	PROPN
ejpam-3953	259	18	j=0	j=0	PUNCT
ejpam-3953	260	1	[	[	X
ejpam-3953	260	2	r	r	X
ejpam-3953	260	3	+	+	CCONJ
ejpam-3953	260	4	jm]q	jm]q	PROPN
ejpam-3953	260	5	qr+jm	qr+jm	NOUN
ejpam-3953	260	6	=	=	SYM
ejpam-3953	260	7	n∑	n∑	NOUN
ejpam-3953	260	8	k=0	k=0	PROPN
ejpam-3953	260	9	(	(	PUNCT
ejpam-3953	260	10	−1)kakq	−1)kakq	PROPN
ejpam-3953	260	11	(	(	PUNCT
ejpam-3953	260	12	k	k	PROPN
ejpam-3953	260	13	2	2	NUM
ejpam-3953	260	14	)	)	PUNCT
ejpam-3953	260	15	[	[	PUNCT
ejpam-3953	260	16	n	n	X
ejpam-3953	260	17	k	k	X
ejpam-3953	260	18	]	]	X
ejpam-3953	260	19	q	q	X
ejpam-3953	260	20	(	(	PUNCT
ejpam-3953	260	21	−1)k	−1)k	PROPN
ejpam-3953	260	22	k−1∏	k−1∏	PROPN
ejpam-3953	260	23	j=0	j=0	PUNCT
ejpam-3953	261	1	[	[	X
ejpam-3953	261	2	r	r	X
ejpam-3953	261	3	+	+	CCONJ
ejpam-3953	261	4	jm]q	jm]q	PROPN
ejpam-3953	261	5	qr+jm	qr+jm	NOUN
ejpam-3953	261	6	=	=	SYM
ejpam-3953	261	7	n∑	n∑	PROPN
ejpam-3953	261	8	k=0	k=0	PROPN
ejpam-3953	261	9	akq	akq	PROPN
ejpam-3953	261	10	(	(	PUNCT
ejpam-3953	261	11	k	k	PROPN
ejpam-3953	261	12	2	2	X
ejpam-3953	261	13	)	)	PUNCT
ejpam-3953	261	14	[	[	PUNCT
ejpam-3953	261	15	n	n	X
ejpam-3953	261	16	k	k	NOUN
ejpam-3953	261	17	]	]	PUNCT
ejpam-3953	261	18	q	q	PUNCT
ejpam-3953	262	1	k−1∏	k−1∏	NOUN
ejpam-3953	262	2	j=0	j=0	PROPN
ejpam-3953	263	1	[	[	X
ejpam-3953	263	2	r	r	X
ejpam-3953	263	3	+	+	NUM
ejpam-3953	263	4	jm]q	jm]q	PROPN
ejpam-3953	263	5	qr+jm	qr+jm	NOUN
ejpam-3953	263	6	which	which	PRON
ejpam-3953	263	7	implies	imply	VERB
ejpam-3953	263	8	(	(	PUNCT
ejpam-3953	263	9	−1)npn	−1)npn	PROPN
ejpam-3953	263	10	,	,	PUNCT
ejpam-3953	263	11	q(0	q(0	PROPN
ejpam-3953	263	12	)	)	PUNCT
ejpam-3953	263	13	=	=	SYM
ejpam-3953	263	14	n∑	n∑	NOUN
ejpam-3953	263	15	k=0	k=0	PROPN
ejpam-3953	263	16	(	(	PUNCT
ejpam-3953	263	17	−1)n[x]kqq	−1)n[x]kqq	PROPN
ejpam-3953	263	18	(	(	PUNCT
ejpam-3953	263	19	k2	k2	NOUN
ejpam-3953	263	20	)	)	PUNCT
ejpam-3953	263	21	[	[	PUNCT
ejpam-3953	263	22	n	n	X
ejpam-3953	263	23	k	k	NOUN
ejpam-3953	263	24	]	]	PUNCT
ejpam-3953	263	25	q	q	PUNCT
ejpam-3953	264	1	k−1∏	k−1∏	NOUN
ejpam-3953	264	2	j=0	j=0	PROPN
ejpam-3953	265	1	[	[	X
ejpam-3953	265	2	r	r	X
ejpam-3953	265	3	+	+	NUM
ejpam-3953	265	4	jm]q	jm]q	PROPN
ejpam-3953	265	5	qr+jm	qr+jm	NOUN
ejpam-3953	265	6	.	.	PUNCT
ejpam-3953	266	1	hence	hence	ADV
ejpam-3953	266	2	,	,	PUNCT
ejpam-3953	266	3	dn	dn	PROPN
ejpam-3953	266	4	,	,	PUNCT
ejpam-3953	266	5	q(n	q(n	ADJ
ejpam-3953	266	6	,	,	PUNCT
ejpam-3953	266	7	1	1	NUM
ejpam-3953	266	8	)	)	PUNCT
ejpam-3953	266	9	=	=	SYM
ejpam-3953	266	10	dn	dn	PROPN
ejpam-3953	266	11	,	,	PUNCT
ejpam-3953	266	12	q(n	q(n	ADJ
ejpam-3953	266	13	,	,	PUNCT
ejpam-3953	266	14	0)(−1)npn	0)(−1)npn	NOUN
ejpam-3953	266	15	,	,	PUNCT
ejpam-3953	266	16	q(0	q(0	PROPN
ejpam-3953	266	17	)	)	PUNCT
ejpam-3953	266	18	=	=	SYM
ejpam-3953	267	1	q2r	q2r	PROPN
ejpam-3953	267	2	(	(	PUNCT
ejpam-3953	267	3	n	n	PROPN
ejpam-3953	267	4	2)+(m+1)(n3)a(n2	2)+(m+1)(n3)a(n2	NUM
ejpam-3953	267	5	)	)	PUNCT
ejpam-3953	267	6	n−1∏	n−1∏	PROPN
ejpam-3953	267	7	i=0	i=0	PROPN
ejpam-3953	267	8	(	(	PUNCT
ejpam-3953	267	9	(	(	PUNCT
ejpam-3953	267	10	1−	1−	NUM
ejpam-3953	267	11	q)a	q)a	NOUN
ejpam-3953	267	12	;	;	PUNCT
ejpam-3953	267	13	q)i	q)i	ADV
ejpam-3953	267	14	i∏	i∏	VERB
ejpam-3953	267	15	j=1	j=1	NOUN
ejpam-3953	268	1	[	[	X
ejpam-3953	268	2	mj]q	mj]q	PROPN
ejpam-3953	268	3	n∑	n∑	NOUN
ejpam-3953	268	4	k=0	k=0	PROPN
ejpam-3953	268	5	(	(	PUNCT
ejpam-3953	268	6	−1)n[x]kqq	−1)n[x]kqq	PROPN
ejpam-3953	268	7	(	(	PUNCT
ejpam-3953	268	8	k2	k2	NOUN
ejpam-3953	268	9	)	)	PUNCT
ejpam-3953	268	10	[	[	PUNCT
ejpam-3953	268	11	n	n	X
ejpam-3953	268	12	k	k	NOUN
ejpam-3953	268	13	]	]	PUNCT
ejpam-3953	268	14	q	q	PUNCT
ejpam-3953	269	1	k−1∏	k−1∏	NOUN
ejpam-3953	269	2	j=0	j=0	PROPN
ejpam-3953	270	1	[	[	X
ejpam-3953	270	2	r	r	X
ejpam-3953	270	3	+	+	CCONJ
ejpam-3953	270	4	jm]q	jm]q	PROPN
ejpam-3953	270	5	qr+jm	qr+jm	NOUN
ejpam-3953	270	6	acknowledgements	acknowledgement	NOUN
ejpam-3953	270	7	this	this	DET
ejpam-3953	270	8	research	research	NOUN
ejpam-3953	270	9	has	have	AUX
ejpam-3953	270	10	been	be	AUX
ejpam-3953	270	11	funded	fund	VERB
ejpam-3953	270	12	by	by	ADP
ejpam-3953	270	13	cebu	cebu	PROPN
ejpam-3953	270	14	normal	normal	ADJ
ejpam-3953	270	15	university	university	PROPN
ejpam-3953	270	16	(	(	PUNCT
ejpam-3953	270	17	cnu	cnu	PROPN
ejpam-3953	270	18	)	)	PUNCT
ejpam-3953	270	19	and	and	CCONJ
ejpam-3953	270	20	the	the	DET
ejpam-3953	270	21	commission	commission	NOUN
ejpam-3953	270	22	on	on	ADP
ejpam-3953	270	23	higher	high	ADJ
ejpam-3953	270	24	education	education	NOUN
ejpam-3953	270	25	grants	grant	NOUN
ejpam-3953	270	26	-	-	PUNCT
ejpam-3953	270	27	in	in	ADP
ejpam-3953	270	28	-	-	PUNCT
ejpam-3953	270	29	aid	aid	NOUN
ejpam-3953	270	30	for	for	ADP
ejpam-3953	270	31	research	research	NOUN
ejpam-3953	270	32	(	(	PUNCT
ejpam-3953	270	33	ched	che	VERB
ejpam-3953	270	34	-	-	PUNCT
ejpam-3953	270	35	gia	gia	NOUN
ejpam-3953	270	36	)	)	PUNCT
ejpam-3953	270	37	.	.	PUNCT
ejpam-3953	271	1	references	reference	NOUN
ejpam-3953	271	2	[	[	X
ejpam-3953	271	3	1	1	NUM
ejpam-3953	271	4	]	]	PUNCT
ejpam-3953	271	5	m.	m.	NOUN
ejpam-3953	271	6	aigner	aigner	NOUN
ejpam-3953	271	7	.	.	PUNCT
ejpam-3953	272	1	a	a	DET
ejpam-3953	272	2	characterization	characterization	NOUN
ejpam-3953	272	3	of	of	ADP
ejpam-3953	272	4	the	the	DET
ejpam-3953	272	5	bell	bell	NOUN
ejpam-3953	272	6	numbers	number	NOUN
ejpam-3953	272	7	.	.	PUNCT
ejpam-3953	273	1	discrete	discrete	ADJ
ejpam-3953	273	2	math	math	NOUN
ejpam-3953	273	3	.	.	PUNCT
ejpam-3953	273	4	,	,	PUNCT
ejpam-3953	273	5	205:207–210	205:207–210	NUM
ejpam-3953	273	6	,	,	PUNCT
ejpam-3953	273	7	1999	1999	NUM
ejpam-3953	273	8	.	.	PUNCT
ejpam-3953	274	1	[	[	X
ejpam-3953	274	2	2	2	X
ejpam-3953	274	3	]	]	PUNCT
ejpam-3953	274	4	j.	j.	PROPN
ejpam-3953	274	5	cigler	cigler	PROPN
ejpam-3953	274	6	.	.	PUNCT
ejpam-3953	275	1	hankel	hankel	NOUN
ejpam-3953	275	2	determinants	determinant	NOUN
ejpam-3953	275	3	of	of	ADP
ejpam-3953	275	4	generalized	generalized	ADJ
ejpam-3953	275	5	q	q	ADJ
ejpam-3953	275	6	-	-	ADJ
ejpam-3953	275	7	exponential	exponential	ADJ
ejpam-3953	275	8	polynomials	polynomial	NOUN
ejpam-3953	275	9	.	.	PUNCT
ejpam-3953	276	1	arxiv:0909.5581v1	arxiv:0909.5581v1	NOUN
ejpam-3953	277	1	[	[	X
ejpam-3953	277	2	math.co	math.co	X
ejpam-3953	277	3	]	]	X
ejpam-3953	277	4	.	.	PUNCT
ejpam-3953	278	1	[	[	X
ejpam-3953	278	2	3	3	X
ejpam-3953	278	3	]	]	X
ejpam-3953	278	4	l.	l.	PROPN
ejpam-3953	278	5	comtet	comtet	PROPN
ejpam-3953	278	6	.	.	PUNCT
ejpam-3953	279	1	advanced	advanced	ADJ
ejpam-3953	279	2	combinatorics	combinatoric	NOUN
ejpam-3953	279	3	.	.	PUNCT
ejpam-3953	280	1	reidel	reidel	PROPN
ejpam-3953	280	2	,	,	PUNCT
ejpam-3953	280	3	dordrecht	dordrecht	PROPN
ejpam-3953	280	4	,	,	PUNCT
ejpam-3953	280	5	the	the	DET
ejpam-3953	280	6	netherlands	netherlands	PROPN
ejpam-3953	280	7	,	,	PUNCT
ejpam-3953	280	8	1974	1974	NUM
ejpam-3953	280	9	.	.	PUNCT
ejpam-3953	281	1	[	[	X
ejpam-3953	281	2	4	4	X
ejpam-3953	281	3	]	]	X
ejpam-3953	281	4	r.b	r.b	PROPN
ejpam-3953	281	5	.	.	PROPN
ejpam-3953	281	6	corcino	corcino	PROPN
ejpam-3953	281	7	.	.	PUNCT
ejpam-3953	282	1	the	the	DET
ejpam-3953	282	2	(	(	PUNCT
ejpam-3953	282	3	r	r	NOUN
ejpam-3953	282	4	,	,	PUNCT
ejpam-3953	282	5	β)-stirling	β)-stirle	VERB
ejpam-3953	282	6	numbers	number	NOUN
ejpam-3953	282	7	.	.	PUNCT
ejpam-3953	283	1	mindanao	mindanao	PROPN
ejpam-3953	283	2	forum	forum	PROPN
ejpam-3953	283	3	,	,	PUNCT
ejpam-3953	283	4	14(2):91–100	14(2):91–100	NUM
ejpam-3953	283	5	,	,	PUNCT
ejpam-3953	283	6	1999	1999	NUM
ejpam-3953	283	7	.	.	PUNCT
ejpam-3953	284	1	[	[	X
ejpam-3953	284	2	5	5	NUM
ejpam-3953	284	3	]	]	X
ejpam-3953	284	4	r.	r.	PROPN
ejpam-3953	284	5	ehrenborg	ehrenborg	PROPN
ejpam-3953	284	6	.	.	PUNCT
ejpam-3953	285	1	determinants	determinant	NOUN
ejpam-3953	285	2	of	of	ADP
ejpam-3953	285	3	involving	involve	VERB
ejpam-3953	285	4	q	q	ADJ
ejpam-3953	285	5	-	-	PUNCT
ejpam-3953	285	6	stirling	stirling	NOUN
ejpam-3953	285	7	numbers	number	NOUN
ejpam-3953	285	8	.	.	PUNCT
ejpam-3953	286	1	advances	advance	NOUN
ejpam-3953	286	2	in	in	ADP
ejpam-3953	286	3	applied	applied	ADJ
ejpam-3953	286	4	mathematics	mathematic	NOUN
ejpam-3953	286	5	,	,	PUNCT
ejpam-3953	286	6	31:630–642	31:630–642	PROPN
ejpam-3953	286	7	,	,	PUNCT
ejpam-3953	286	8	2003	2003	NUM
ejpam-3953	286	9	.	.	PUNCT
ejpam-3953	287	1	references	reference	NOUN
ejpam-3953	287	2	759	759	NUM
ejpam-3953	287	3	[	[	X
ejpam-3953	287	4	6	6	NUM
ejpam-3953	287	5	]	]	X
ejpam-3953	287	6	j.h	j.h	PROPN
ejpam-3953	287	7	.	.	PROPN
ejpam-3953	287	8	jung	jung	PROPN
ejpam-3953	287	9	g.s	g.s	PROPN
ejpam-3953	287	10	.	.	PROPN
ejpam-3953	287	11	cheon	cheon	PROPN
ejpam-3953	287	12	.	.	PUNCT
ejpam-3953	288	1	r	r	X
ejpam-3953	288	2	-	-	PUNCT
ejpam-3953	288	3	whitney	whitney	NOUN
ejpam-3953	288	4	number	number	NOUN
ejpam-3953	288	5	of	of	ADP
ejpam-3953	288	6	dowling	dowle	VERB
ejpam-3953	288	7	lattices	lattice	NOUN
ejpam-3953	288	8	.	.	PUNCT
ejpam-3953	289	1	discrete	discrete	ADJ
ejpam-3953	289	2	math	math	NOUN
ejpam-3953	289	3	.	.	PUNCT
ejpam-3953	289	4	,	,	PUNCT
ejpam-3953	289	5	312:2337–2348	312:2337–2348	NUM
ejpam-3953	289	6	,	,	PUNCT
ejpam-3953	289	7	2012	2012	NUM
ejpam-3953	289	8	.	.	PUNCT
ejpam-3953	290	1	[	[	X
ejpam-3953	290	2	7	7	X
ejpam-3953	290	3	]	]	X
ejpam-3953	290	4	m.	m.	NOUN
ejpam-3953	290	5	koutras	koutra	NOUN
ejpam-3953	290	6	.	.	PUNCT
ejpam-3953	291	1	non	non	ADJ
ejpam-3953	291	2	-	-	ADJ
ejpam-3953	291	3	central	central	ADJ
ejpam-3953	291	4	stirling	stirling	NOUN
ejpam-3953	291	5	numbers	number	NOUN
ejpam-3953	291	6	and	and	CCONJ
ejpam-3953	291	7	some	some	DET
ejpam-3953	291	8	applications	application	NOUN
ejpam-3953	291	9	.	.	PUNCT
ejpam-3953	292	1	discrete	discrete	ADJ
ejpam-3953	292	2	math	math	NOUN
ejpam-3953	292	3	.	.	PUNCT
ejpam-3953	292	4	,	,	PUNCT
ejpam-3953	292	5	42:73–89	42:73–89	NUM
ejpam-3953	292	6	,	,	PUNCT
ejpam-3953	292	7	1982	1982	NUM
ejpam-3953	292	8	.	.	PUNCT
ejpam-3953	293	1	[	[	X
ejpam-3953	293	2	8	8	NUM
ejpam-3953	293	3	]	]	X
ejpam-3953	293	4	j.w	j.w	PROPN
ejpam-3953	293	5	.	.	PROPN
ejpam-3953	293	6	layman	layman	PROPN
ejpam-3953	293	7	.	.	PUNCT
ejpam-3953	294	1	the	the	DET
ejpam-3953	294	2	hankel	hankel	NOUN
ejpam-3953	294	3	transform	transform	NOUN
ejpam-3953	294	4	and	and	CCONJ
ejpam-3953	294	5	some	some	PRON
ejpam-3953	294	6	of	of	ADP
ejpam-3953	294	7	its	its	PRON
ejpam-3953	294	8	properties	property	NOUN
ejpam-3953	294	9	.	.	PUNCT
ejpam-3953	295	1	j.	j.	PROPN
ejpam-3953	295	2	integer	integer	PROPN
ejpam-3953	295	3	seq	seq	PROPN
ejpam-3953	295	4	.	.	PROPN
ejpam-3953	295	5	,	,	PUNCT
ejpam-3953	295	6	4:01.1.5	4:01.1.5	PROPN
ejpam-3953	295	7	,	,	PUNCT
ejpam-3953	295	8	2001	2001	NUM
ejpam-3953	295	9	.	.	PUNCT
ejpam-3953	296	1	[	[	X
ejpam-3953	296	2	9	9	NUM
ejpam-3953	296	3	]	]	SYM
ejpam-3953	296	4	i.	i.	NOUN
ejpam-3953	296	5	mező.	mező.	X
ejpam-3953	296	6	a	a	DET
ejpam-3953	296	7	new	new	ADJ
ejpam-3953	296	8	formula	formula	NOUN
ejpam-3953	296	9	for	for	ADP
ejpam-3953	296	10	the	the	DET
ejpam-3953	296	11	bernoulli	bernoulli	NOUN
ejpam-3953	296	12	polynomials	polynomial	NOUN
ejpam-3953	296	13	.	.	PUNCT
ejpam-3953	297	1	result	result	VERB
ejpam-3953	297	2	.	.	PUNCT
ejpam-3953	298	1	math	math	NOUN
ejpam-3953	298	2	.	.	PUNCT
ejpam-3953	298	3	,	,	PUNCT
ejpam-3953	299	1	58(3):329–335	58(3):329–335	PROPN
ejpam-3953	299	2	,	,	PUNCT
ejpam-3953	299	3	2010	2010	NUM
ejpam-3953	299	4	.	.	PUNCT
ejpam-3953	300	1	[	[	X
ejpam-3953	300	2	10	10	NUM
ejpam-3953	300	3	]	]	X
ejpam-3953	300	4	i.	i.	NOUN
ejpam-3953	300	5	mező.	mező.	X
ejpam-3953	300	6	the	the	DET
ejpam-3953	300	7	r	r	NOUN
ejpam-3953	300	8	-	-	PUNCT
ejpam-3953	300	9	bell	bell	NOUN
ejpam-3953	300	10	numbers	number	NOUN
ejpam-3953	300	11	.	.	PUNCT
ejpam-3953	301	1	j.	j.	PROPN
ejpam-3953	301	2	integer	integer	PROPN
ejpam-3953	301	3	seq	seq	PROPN
ejpam-3953	301	4	.	.	PROPN
ejpam-3953	301	5	,	,	PUNCT
ejpam-3953	301	6	14:11.1.1	14:11.1.1	NUM
ejpam-3953	301	7	,	,	PUNCT
ejpam-3953	301	8	2011	2011	NUM
ejpam-3953	301	9	.	.	PUNCT
ejpam-3953	302	1	[	[	X
ejpam-3953	302	2	11	11	NUM
ejpam-3953	302	3	]	]	X
ejpam-3953	302	4	c.	c.	PROPN
ejpam-3953	302	5	b.	b.	PROPN
ejpam-3953	302	6	corcino	corcino	PROPN
ejpam-3953	302	7	r.	r.	PROPN
ejpam-3953	302	8	b.	b.	PROPN
ejpam-3953	302	9	corcino	corcino	PROPN
ejpam-3953	302	10	.	.	PUNCT
ejpam-3953	303	1	on	on	ADP
ejpam-3953	303	2	the	the	DET
ejpam-3953	303	3	maximum	maximum	NOUN
ejpam-3953	303	4	of	of	ADP
ejpam-3953	303	5	the	the	DET
ejpam-3953	303	6	generalized	generalized	ADJ
ejpam-3953	303	7	stirling	stirling	NOUN
ejpam-3953	303	8	numbers	number	NOUN
ejpam-3953	303	9	.	.	PUNCT
ejpam-3953	304	1	util	util	PROPN
ejpam-3953	304	2	.	.	PUNCT
ejpam-3953	305	1	math	math	NOUN
ejpam-3953	305	2	.	.	PUNCT
ejpam-3953	305	3	,	,	PUNCT
ejpam-3953	306	1	86:241–256	86:241–256	PROPN
ejpam-3953	306	2	,	,	PUNCT
ejpam-3953	306	3	2011	2011	NUM
ejpam-3953	306	4	.	.	PUNCT
ejpam-3953	307	1	[	[	X
ejpam-3953	307	2	12	12	NUM
ejpam-3953	307	3	]	]	PUNCT
ejpam-3953	307	4	r.	r.	PROPN
ejpam-3953	307	5	aldema	aldema	PROPN
ejpam-3953	307	6	r.	r.	PROPN
ejpam-3953	307	7	b.	b.	PROPN
ejpam-3953	307	8	corcino	corcino	PROPN
ejpam-3953	307	9	,	,	PUNCT
ejpam-3953	307	10	c.	c.	PROPN
ejpam-3953	307	11	b.	b.	PROPN
ejpam-3953	307	12	corcino	corcino	PROPN
ejpam-3953	307	13	.	.	PUNCT
ejpam-3953	308	1	asymptotic	asymptotic	ADJ
ejpam-3953	308	2	normality	normality	NOUN
ejpam-3953	308	3	of	of	ADP
ejpam-3953	308	4	the	the	DET
ejpam-3953	308	5	(	(	PUNCT
ejpam-3953	308	6	r	r	NOUN
ejpam-3953	308	7	,	,	PUNCT
ejpam-3953	308	8	β)-stirling	β)-stirle	VERB
ejpam-3953	308	9	numbers	number	NOUN
ejpam-3953	308	10	.	.	PUNCT
ejpam-3953	309	1	ars	ars	PROPN
ejpam-3953	309	2	combin	combin	PROPN
ejpam-3953	309	3	.	.	PUNCT
ejpam-3953	309	4	,	,	PUNCT
ejpam-3953	309	5	81:81–96	81:81–96	PROPN
ejpam-3953	309	6	,	,	PUNCT
ejpam-3953	309	7	2006	2006	NUM
ejpam-3953	309	8	.	.	PUNCT
ejpam-3953	310	1	[	[	X
ejpam-3953	310	2	13	13	NUM
ejpam-3953	310	3	]	]	X
ejpam-3953	310	4	c.b	c.b	PROPN
ejpam-3953	310	5	.	.	PROPN
ejpam-3953	310	6	corcino	corcino	PROPN
ejpam-3953	310	7	r.b	r.b	PROPN
ejpam-3953	310	8	.	.	PROPN
ejpam-3953	310	9	corcino	corcino	PROPN
ejpam-3953	310	10	.	.	PUNCT
ejpam-3953	311	1	the	the	DET
ejpam-3953	311	2	hankel	hankel	NOUN
ejpam-3953	311	3	transform	transform	NOUN
ejpam-3953	311	4	of	of	ADP
ejpam-3953	311	5	generalized	generalized	ADJ
ejpam-3953	311	6	bell	bell	NOUN
ejpam-3953	311	7	numbers	number	NOUN
ejpam-3953	311	8	and	and	CCONJ
ejpam-3953	311	9	its	its	PRON
ejpam-3953	311	10	q	q	NOUN
ejpam-3953	311	11	-	-	PUNCT
ejpam-3953	311	12	analogue	analogue	NOUN
ejpam-3953	311	13	.	.	PUNCT
ejpam-3953	312	1	util	util	PROPN
ejpam-3953	312	2	.	.	PUNCT
ejpam-3953	313	1	math	math	NOUN
ejpam-3953	313	2	.	.	PUNCT
ejpam-3953	313	3	,	,	PUNCT
ejpam-3953	314	1	89:297–309	89:297–309	NUM
ejpam-3953	314	2	,	,	PUNCT
ejpam-3953	314	3	2012	2012	NUM
ejpam-3953	314	4	.	.	PUNCT
ejpam-3953	315	1	[	[	X
ejpam-3953	315	2	14	14	NUM
ejpam-3953	315	3	]	]	X
ejpam-3953	315	4	c.b	c.b	PROPN
ejpam-3953	315	5	.	.	PROPN
ejpam-3953	315	6	montero	montero	PROPN
ejpam-3953	315	7	r.b	r.b	PROPN
ejpam-3953	315	8	.	.	PROPN
ejpam-3953	315	9	corcino	corcino	PROPN
ejpam-3953	315	10	.	.	PUNCT
ejpam-3953	316	1	a	a	DET
ejpam-3953	316	2	q	q	NOUN
ejpam-3953	316	3	-	-	PUNCT
ejpam-3953	316	4	analogue	analogue	NOUN
ejpam-3953	316	5	of	of	ADP
ejpam-3953	316	6	rucinski	rucinski	ADJ
ejpam-3953	316	7	-	-	PUNCT
ejpam-3953	316	8	voigt	voigt	NOUN
ejpam-3953	316	9	numbers	number	NOUN
ejpam-3953	316	10	.	.	PUNCT
ejpam-3953	317	1	isrn	isrn	NOUN
ejpam-3953	317	2	discrete	discrete	VERB
ejpam-3953	317	3	mathematics	mathematic	NOUN
ejpam-3953	317	4	,	,	PUNCT
ejpam-3953	317	5	2012:592818	2012:592818	NUM
ejpam-3953	317	6	,	,	PUNCT
ejpam-3953	317	7	2012	2012	NUM
ejpam-3953	317	8	.	.	PUNCT
ejpam-3953	318	1	[	[	X
ejpam-3953	318	2	15	15	NUM
ejpam-3953	318	3	]	]	X
ejpam-3953	318	4	g.s	g.s	PROPN
ejpam-3953	318	5	.	.	PROPN
ejpam-3953	318	6	rama	rama	PROPN
ejpam-3953	318	7	r.b	r.b	PROPN
ejpam-3953	318	8	.	.	PROPN
ejpam-3953	318	9	corcino	corcino	PROPN
ejpam-3953	318	10	,	,	PUNCT
ejpam-3953	318	11	j.m	j.m	PROPN
ejpam-3953	318	12	.	.	PUNCT
ejpam-3953	318	13	ontolan	ontolan	PROPN
ejpam-3953	318	14	.	.	PUNCT
ejpam-3953	319	1	hankel	hankel	NOUN
ejpam-3953	319	2	transform	transform	NOUN
ejpam-3953	319	3	of	of	ADP
ejpam-3953	319	4	the	the	DET
ejpam-3953	319	5	second	second	ADJ
ejpam-3953	319	6	form	form	NOUN
ejpam-3953	319	7	(	(	PUNCT
ejpam-3953	319	8	q	q	NOUN
ejpam-3953	319	9	,	,	PUNCT
ejpam-3953	319	10	r)dowling	r)dowle	VERB
ejpam-3953	319	11	numbers	number	NOUN
ejpam-3953	319	12	.	.	PUNCT
ejpam-3953	320	1	eur	eur	PROPN
ejpam-3953	320	2	.	.	PUNCT
ejpam-3953	321	1	j.	j.	PROPN
ejpam-3953	321	2	pure	pure	PROPN
ejpam-3953	321	3	appl	appl	PROPN
ejpam-3953	321	4	.	.	PUNCT
ejpam-3953	321	5	math	math	PROPN
ejpam-3953	321	6	.	.	PUNCT
ejpam-3953	321	7	,	,	PUNCT
ejpam-3953	322	1	12(4):1676–1688	12(4):1676–1688	NUM
ejpam-3953	322	2	,	,	PUNCT
ejpam-3953	322	3	2019	2019	NUM
ejpam-3953	322	4	.	.	PUNCT
ejpam-3953	323	1	[	[	X
ejpam-3953	323	2	16	16	NUM
ejpam-3953	323	3	]	]	X
ejpam-3953	323	4	j.	j.	PROPN
ejpam-3953	323	5	cañete	cañete	PROPN
ejpam-3953	323	6	m.r	m.r	PROPN
ejpam-3953	323	7	.	.	PROPN
ejpam-3953	323	8	latayada	latayada	PROPN
ejpam-3953	323	9	r.b	r.b	PROPN
ejpam-3953	323	10	.	.	PROPN
ejpam-3953	323	11	corcino	corcino	PROPN
ejpam-3953	323	12	,	,	PUNCT
ejpam-3953	323	13	j.m	j.m	PROPN
ejpam-3953	323	14	.	.	PROPN
ejpam-3953	323	15	ontolan	ontolan	PROPN
ejpam-3953	323	16	.	.	PUNCT
ejpam-3953	324	1	a	a	DET
ejpam-3953	324	2	q	q	NOUN
ejpam-3953	324	3	-	-	PUNCT
ejpam-3953	324	4	analogue	analogue	NOUN
ejpam-3953	324	5	of	of	ADP
ejpam-3953	324	6	r	r	NOUN
ejpam-3953	324	7	-	-	PUNCT
ejpam-3953	324	8	whitney	whitney	NOUN
ejpam-3953	324	9	numbers	number	NOUN
ejpam-3953	324	10	of	of	ADP
ejpam-3953	324	11	the	the	DET
ejpam-3953	324	12	second	second	ADJ
ejpam-3953	324	13	kind	kind	NOUN
ejpam-3953	324	14	and	and	CCONJ
ejpam-3953	324	15	its	its	PRON
ejpam-3953	324	16	hankel	hankel	NOUN
ejpam-3953	324	17	transform	transform	NOUN
ejpam-3953	324	18	.	.	PUNCT
ejpam-3953	325	1	j.	j.	PROPN
ejpam-3953	325	2	math	math	PROPN
ejpam-3953	325	3	.	.	PUNCT
ejpam-3953	326	1	computer	computer	NOUN
ejpam-3953	326	2	sci	sci	PROPN
ejpam-3953	326	3	.	.	PROPN
ejpam-3953	326	4	,	,	PUNCT
ejpam-3953	326	5	21:258	21:258	NUM
ejpam-3953	326	6	–	–	PUNCT
ejpam-3953	326	7	272	272	NUM
ejpam-3953	326	8	,	,	PUNCT
ejpam-3953	326	9	2020	2020	NUM
ejpam-3953	326	10	.	.	PUNCT
ejpam-3953	327	1	[	[	X
ejpam-3953	327	2	17	17	NUM
ejpam-3953	327	3	]	]	X
ejpam-3953	327	4	m.p	m.p	PROPN
ejpam-3953	327	5	.	.	PROPN
ejpam-3953	327	6	vega	vega	PROPN
ejpam-3953	327	7	r.b	r.b	PROPN
ejpam-3953	327	8	.	.	PROPN
ejpam-3953	327	9	corcino	corcino	PROPN
ejpam-3953	327	10	,	,	PUNCT
ejpam-3953	327	11	m.r	m.r	PROPN
ejpam-3953	327	12	.	.	PROPN
ejpam-3953	327	13	latayada	latayada	PROPN
ejpam-3953	327	14	.	.	PUNCT
ejpam-3953	328	1	hankel	hankel	PROPN
ejpam-3953	328	2	transform	transform	NOUN
ejpam-3953	328	3	of	of	ADP
ejpam-3953	328	4	(	(	PUNCT
ejpam-3953	328	5	q	q	ADJ
ejpam-3953	328	6	,	,	PUNCT
ejpam-3953	328	7	r)-dowling	r)-dowling	ADJ
ejpam-3953	328	8	numbers	number	NOUN
ejpam-3953	328	9	.	.	PUNCT
ejpam-3953	329	1	eur	eur	PROPN
ejpam-3953	329	2	.	.	PUNCT
ejpam-3953	330	1	j.	j.	PROPN
ejpam-3953	330	2	pure	pure	PROPN
ejpam-3953	330	3	appl	appl	PROPN
ejpam-3953	330	4	.	.	PUNCT
ejpam-3953	330	5	math	math	PROPN
ejpam-3953	330	6	.	.	PUNCT
ejpam-3953	330	7	,	,	PUNCT
ejpam-3953	331	1	12(2):279–293	12(2):279–293	PROPN
ejpam-3953	331	2	,	,	PUNCT
ejpam-3953	331	3	2019	2019	NUM
ejpam-3953	331	4	.	.	PUNCT
ejpam-3953	332	1	[	[	X
ejpam-3953	332	2	18	18	NUM
ejpam-3953	332	3	]	]	X
ejpam-3953	332	4	m.r	m.r	PROPN
ejpam-3953	332	5	.	.	PROPN
ejpam-3953	332	6	lobrigas	lobrigas	PROPN
ejpam-3953	332	7	r.b	r.b	PROPN
ejpam-3953	332	8	.	.	PROPN
ejpam-3953	332	9	corcino	corcino	PROPN
ejpam-3953	332	10	,	,	PUNCT
ejpam-3953	332	11	j.m	j.m	PROPN
ejpam-3953	332	12	.	.	PUNCT
ejpam-3953	332	13	ontolan	ontolan	PROPN
ejpam-3953	332	14	.	.	PUNCT
ejpam-3953	333	1	explicit	explicit	ADJ
ejpam-3953	333	2	formulas	formula	NOUN
ejpam-3953	333	3	for	for	ADP
ejpam-3953	333	4	the	the	DET
ejpam-3953	333	5	first	first	ADJ
ejpam-3953	333	6	form	form	NOUN
ejpam-3953	333	7	(	(	PUNCT
ejpam-3953	333	8	q	q	ADJ
ejpam-3953	333	9	,	,	PUNCT
ejpam-3953	333	10	r)dowling	r)dowle	VERB
ejpam-3953	333	11	numbers	number	NOUN
ejpam-3953	333	12	and	and	CCONJ
ejpam-3953	333	13	(	(	PUNCT
ejpam-3953	333	14	q	q	ADJ
ejpam-3953	333	15	,	,	PUNCT
ejpam-3953	333	16	r)-whitney	r)-whitney	ADJ
ejpam-3953	333	17	-	-	PUNCT
ejpam-3953	333	18	lah	lah	NOUN
ejpam-3953	333	19	numbers	number	NOUN
ejpam-3953	333	20	.	.	PUNCT
ejpam-3953	334	1	eur	eur	PROPN
ejpam-3953	334	2	.	.	PUNCT
ejpam-3953	335	1	j.	j.	PROPN
ejpam-3953	335	2	pure	pure	PROPN
ejpam-3953	335	3	appl	appl	PROPN
ejpam-3953	335	4	.	.	PUNCT
ejpam-3953	335	5	math	math	PROPN
ejpam-3953	335	6	.	.	PUNCT
ejpam-3953	335	7	,	,	PUNCT
ejpam-3953	335	8	14(1):65	14(1):65	NUM
ejpam-3953	335	9	–	–	PUNCT
ejpam-3953	335	10	81	81	NUM
ejpam-3953	335	11	,	,	PUNCT
ejpam-3953	335	12	2021	2021	NUM
ejpam-3953	335	13	.	.	PUNCT
ejpam-3953	336	1	[	[	X
ejpam-3953	336	2	19	19	NUM
ejpam-3953	336	3	]	]	X
ejpam-3953	336	4	m.z	m.z	PROPN
ejpam-3953	336	5	.	.	PROPN
ejpam-3953	336	6	spivey	spivey	PROPN
ejpam-3953	336	7	and	and	CCONJ
ejpam-3953	336	8	l.	l.	PROPN
ejpam-3953	336	9	l.	l.	PROPN
ejpam-3953	336	10	steil	steil	PROPN
ejpam-3953	336	11	.	.	PUNCT
ejpam-3953	337	1	the	the	DET
ejpam-3953	337	2	k	k	ADJ
ejpam-3953	337	3	-	-	ADJ
ejpam-3953	337	4	binomial	binomial	ADJ
ejpam-3953	337	5	transform	transform	NOUN
ejpam-3953	337	6	and	and	CCONJ
ejpam-3953	337	7	the	the	DET
ejpam-3953	337	8	hankel	hankel	NOUN
ejpam-3953	337	9	transform	transform	NOUN
ejpam-3953	337	10	.	.	PUNCT
ejpam-3953	338	1	j.	j.	PROPN
ejpam-3953	338	2	integer	integer	PROPN
ejpam-3953	338	3	seq	seq	PROPN
ejpam-3953	338	4	.	.	PROPN
ejpam-3953	338	5	,	,	PUNCT
ejpam-3953	338	6	9:06.1.1	9:06.1.1	NUM
ejpam-3953	338	7	,	,	PUNCT
ejpam-3953	338	8	2006	2006	NUM
ejpam-3953	338	9	.	.	PUNCT