id	sid	tid	token	lemma	pos
ejpam-5957	1	1	european	european	PROPN
ejpam-5957	1	2	journal	journal	PROPN
ejpam-5957	1	3	of	of	ADP
ejpam-5957	1	4	pure	pure	ADJ
ejpam-5957	1	5	and	and	CCONJ
ejpam-5957	1	6	applied	applied	ADJ
ejpam-5957	1	7	mathematics	mathematic	NOUN
ejpam-5957	1	8	2025	2025	NUM
ejpam-5957	1	9	,	,	PUNCT
ejpam-5957	1	10	vol	vol	NOUN
ejpam-5957	1	11	.	.	PROPN
ejpam-5957	1	12	18	18	NUM
ejpam-5957	1	13	,	,	PUNCT
ejpam-5957	1	14	issue	issue	NOUN
ejpam-5957	1	15	2	2	NUM
ejpam-5957	1	16	,	,	PUNCT
ejpam-5957	1	17	article	article	NOUN
ejpam-5957	1	18	number	number	NOUN
ejpam-5957	1	19	5957	5957	NUM
ejpam-5957	1	20	issn	issn	VERB
ejpam-5957	1	21	1307	1307	NUM
ejpam-5957	1	22	-	-	SYM
ejpam-5957	1	23	5543	5543	NUM
ejpam-5957	1	24	–	–	PUNCT
ejpam-5957	1	25	ejpam.com	ejpam.com	X
ejpam-5957	1	26	published	publish	VERB
ejpam-5957	1	27	by	by	ADP
ejpam-5957	1	28	new	new	PROPN
ejpam-5957	1	29	york	york	PROPN
ejpam-5957	1	30	business	business	PROPN
ejpam-5957	1	31	global	global	PROPN
ejpam-5957	1	32	on	on	ADP
ejpam-5957	1	33	gould	gould	PROPN
ejpam-5957	1	34	-	-	PUNCT
ejpam-5957	1	35	hopper	hopper	NOUN
ejpam-5957	1	36	-	-	PUNCT
ejpam-5957	1	37	based	base	VERB
ejpam-5957	1	38	bivariate	bivariate	ADJ
ejpam-5957	1	39	fubini	fubini	ADJ
ejpam-5957	1	40	polynomials	polynomial	NOUN
ejpam-5957	1	41	raimah	raimah	ADJ
ejpam-5957	1	42	g.	g.	PROPN
ejpam-5957	1	43	bago1,∗	bago1,∗	PROPN
ejpam-5957	1	44	,	,	PUNCT
ejpam-5957	1	45	normalah	normalah	PROPN
ejpam-5957	1	46	s.	s.	PROPN
ejpam-5957	1	47	abdulcarim1	abdulcarim1	PROPN
ejpam-5957	1	48	1	1	NUM
ejpam-5957	1	49	department	department	NOUN
ejpam-5957	1	50	of	of	ADP
ejpam-5957	1	51	mathematics	mathematic	NOUN
ejpam-5957	1	52	,	,	PUNCT
ejpam-5957	1	53	college	college	NOUN
ejpam-5957	1	54	of	of	ADP
ejpam-5957	1	55	natural	natural	ADJ
ejpam-5957	1	56	sciences	science	NOUN
ejpam-5957	1	57	and	and	CCONJ
ejpam-5957	1	58	mathematics	mathematic	NOUN
ejpam-5957	1	59	,	,	PUNCT
ejpam-5957	1	60	mindanao	mindanao	PROPN
ejpam-5957	1	61	state	state	PROPN
ejpam-5957	1	62	university	university	PROPN
ejpam-5957	1	63	main	main	ADJ
ejpam-5957	1	64	campus	campus	NOUN
ejpam-5957	1	65	,	,	PUNCT
ejpam-5957	1	66	9700	9700	NUM
ejpam-5957	1	67	marawi	marawi	PROPN
ejpam-5957	1	68	city	city	PROPN
ejpam-5957	1	69	,	,	PUNCT
ejpam-5957	1	70	philippines	philippine	NOUN
ejpam-5957	1	71	abstract	abstract	ADJ
ejpam-5957	1	72	.	.	PUNCT
ejpam-5957	2	1	in	in	ADP
ejpam-5957	2	2	this	this	DET
ejpam-5957	2	3	paper	paper	NOUN
ejpam-5957	2	4	,	,	PUNCT
ejpam-5957	2	5	we	we	PRON
ejpam-5957	2	6	incorporate	incorporate	VERB
ejpam-5957	2	7	the	the	DET
ejpam-5957	2	8	bivariate	bivariate	ADJ
ejpam-5957	2	9	fubini	fubini	ADJ
ejpam-5957	2	10	polynomials	polynomial	NOUN
ejpam-5957	2	11	with	with	ADP
ejpam-5957	2	12	gould	gould	PROPN
ejpam-5957	2	13	-	-	PUNCT
ejpam-5957	2	14	hopper	hopper	NOUN
ejpam-5957	2	15	polynomials	polynomial	NOUN
ejpam-5957	2	16	to	to	PART
ejpam-5957	2	17	introduce	introduce	VERB
ejpam-5957	2	18	new	new	ADJ
ejpam-5957	2	19	polynomials	polynomial	NOUN
ejpam-5957	2	20	called	call	VERB
ejpam-5957	2	21	gould	gould	PROPN
ejpam-5957	2	22	-	-	PUNCT
ejpam-5957	2	23	hopper	hopper	NOUN
ejpam-5957	2	24	-	-	PUNCT
ejpam-5957	2	25	based	base	VERB
ejpam-5957	2	26	bivariate	bivariate	ADJ
ejpam-5957	2	27	fubini	fubini	ADJ
ejpam-5957	2	28	polynomials	polynomial	NOUN
ejpam-5957	2	29	by	by	ADP
ejpam-5957	2	30	modifying	modify	VERB
ejpam-5957	2	31	the	the	DET
ejpam-5957	2	32	classical	classical	ADJ
ejpam-5957	2	33	generating	generating	NOUN
ejpam-5957	2	34	function	function	NOUN
ejpam-5957	2	35	of	of	ADP
ejpam-5957	2	36	the	the	DET
ejpam-5957	2	37	bivariate	bivariate	ADJ
ejpam-5957	2	38	fubini	fubini	ADJ
ejpam-5957	2	39	polynomials	polynomial	NOUN
ejpam-5957	2	40	.	.	PUNCT
ejpam-5957	3	1	also	also	ADV
ejpam-5957	3	2	,	,	PUNCT
ejpam-5957	3	3	properties	property	NOUN
ejpam-5957	3	4	such	such	ADJ
ejpam-5957	3	5	as	as	ADP
ejpam-5957	3	6	addition	addition	NOUN
ejpam-5957	3	7	formula	formula	NOUN
ejpam-5957	3	8	,	,	PUNCT
ejpam-5957	3	9	explicit	explicit	ADJ
ejpam-5957	3	10	formula	formula	NOUN
ejpam-5957	3	11	,	,	PUNCT
ejpam-5957	3	12	implicit	implicit	ADJ
ejpam-5957	3	13	formula	formula	NOUN
ejpam-5957	3	14	,	,	PUNCT
ejpam-5957	3	15	recurrence	recurrence	NOUN
ejpam-5957	3	16	formula	formula	NOUN
ejpam-5957	3	17	and	and	CCONJ
ejpam-5957	3	18	symmetric	symmetric	ADJ
ejpam-5957	3	19	identities	identity	NOUN
ejpam-5957	3	20	are	be	AUX
ejpam-5957	3	21	obtained	obtain	VERB
ejpam-5957	3	22	.	.	PUNCT
ejpam-5957	4	1	moreover	moreover	ADV
ejpam-5957	4	2	,	,	PUNCT
ejpam-5957	4	3	some	some	DET
ejpam-5957	4	4	relations	relation	NOUN
ejpam-5957	4	5	between	between	ADP
ejpam-5957	4	6	the	the	DET
ejpam-5957	4	7	gould	gould	PROPN
ejpam-5957	4	8	-	-	PUNCT
ejpam-5957	4	9	hopper	hopper	NOUN
ejpam-5957	4	10	-	-	PUNCT
ejpam-5957	4	11	based	base	VERB
ejpam-5957	4	12	bivariate	bivariate	ADJ
ejpam-5957	4	13	fubini	fubini	ADJ
ejpam-5957	4	14	polynomials	polynomial	NOUN
ejpam-5957	4	15	and	and	CCONJ
ejpam-5957	4	16	some	some	PRON
ejpam-5957	4	17	of	of	ADP
ejpam-5957	4	18	the	the	DET
ejpam-5957	4	19	other	other	ADJ
ejpam-5957	4	20	special	special	ADJ
ejpam-5957	4	21	polynomials	polynomial	NOUN
ejpam-5957	4	22	and	and	CCONJ
ejpam-5957	4	23	numbers	number	NOUN
ejpam-5957	4	24	,	,	PUNCT
ejpam-5957	4	25	such	such	ADJ
ejpam-5957	4	26	as	as	ADP
ejpam-5957	4	27	the	the	DET
ejpam-5957	4	28	2	2	NUM
ejpam-5957	4	29	-	-	PUNCT
ejpam-5957	4	30	variable	variable	ADJ
ejpam-5957	4	31	gouldhopper	gouldhopper	ADJ
ejpam-5957	4	32	polynomials	polynomial	NOUN
ejpam-5957	4	33	and	and	CCONJ
ejpam-5957	4	34	the	the	DET
ejpam-5957	4	35	stirling	stirling	NOUN
ejpam-5957	4	36	numbers	number	NOUN
ejpam-5957	4	37	of	of	ADP
ejpam-5957	4	38	the	the	DET
ejpam-5957	4	39	second	second	ADJ
ejpam-5957	4	40	kind	kind	NOUN
ejpam-5957	4	41	were	be	AUX
ejpam-5957	4	42	investigated	investigate	VERB
ejpam-5957	4	43	.	.	PUNCT
ejpam-5957	5	1	2020	2020	NUM
ejpam-5957	5	2	mathematics	mathematic	NOUN
ejpam-5957	5	3	subject	subject	NOUN
ejpam-5957	5	4	classifications	classification	NOUN
ejpam-5957	5	5	:	:	PUNCT
ejpam-5957	5	6	05a15	05a15	NUM
ejpam-5957	5	7	,	,	PUNCT
ejpam-5957	5	8	26a24	26a24	NUM
ejpam-5957	5	9	,	,	PUNCT
ejpam-5957	5	10	26a36	26a36	NUM
ejpam-5957	5	11	key	key	ADJ
ejpam-5957	5	12	words	word	NOUN
ejpam-5957	5	13	and	and	CCONJ
ejpam-5957	5	14	phrases	phrase	NOUN
ejpam-5957	5	15	:	:	PUNCT
ejpam-5957	5	16	gould	gould	NOUN
ejpam-5957	5	17	-	-	PUNCT
ejpam-5957	5	18	hopper	hopper	NOUN
ejpam-5957	5	19	polynomials	polynomial	NOUN
ejpam-5957	5	20	,	,	PUNCT
ejpam-5957	5	21	fubini	fubini	ADJ
ejpam-5957	5	22	numbers	number	NOUN
ejpam-5957	5	23	and	and	CCONJ
ejpam-5957	5	24	polynomials	polynomial	NOUN
ejpam-5957	5	25	,	,	PUNCT
ejpam-5957	5	26	bivariate	bivariate	ADJ
ejpam-5957	5	27	fubini	fubini	ADJ
ejpam-5957	5	28	polynomials	polynomial	NOUN
ejpam-5957	5	29	,	,	PUNCT
ejpam-5957	5	30	generating	generating	NOUN
ejpam-5957	5	31	functions	function	NOUN
ejpam-5957	5	32	,	,	PUNCT
ejpam-5957	5	33	derivatives	derivative	NOUN
ejpam-5957	5	34	,	,	PUNCT
ejpam-5957	5	35	integration	integration	NOUN
ejpam-5957	5	36	1	1	NUM
ejpam-5957	5	37	.	.	PUNCT
ejpam-5957	5	38	introduction	introduction	NOUN
ejpam-5957	5	39	in	in	ADP
ejpam-5957	5	40	1975	1975	NUM
ejpam-5957	5	41	,	,	PUNCT
ejpam-5957	5	42	tanny	tanny	PROPN
ejpam-5957	5	43	introduced	introduce	VERB
ejpam-5957	5	44	the	the	DET
ejpam-5957	5	45	classical	classical	ADJ
ejpam-5957	5	46	fubini	fubini	ADJ
ejpam-5957	5	47	polynomials	polynomial	NOUN
ejpam-5957	5	48	fn(y	fn(y	X
ejpam-5957	5	49	)	)	PUNCT
ejpam-5957	5	50	which	which	PRON
ejpam-5957	5	51	are	be	AUX
ejpam-5957	5	52	defined	define	VERB
ejpam-5957	5	53	in	in	ADP
ejpam-5957	5	54	[	[	X
ejpam-5957	5	55	1	1	NUM
ejpam-5957	5	56	]	]	PUNCT
ejpam-5957	5	57	by	by	ADP
ejpam-5957	5	58	:	:	PUNCT
ejpam-5957	5	59	fn(y	fn(y	NUM
ejpam-5957	5	60	)	)	PUNCT
ejpam-5957	6	1	=	=	PUNCT
ejpam-5957	7	1	n∑	n∑	NOUN
ejpam-5957	7	2	k=1	k=1	PROPN
ejpam-5957	7	3	k!s(n	k!s(n	PROPN
ejpam-5957	7	4	,	,	PUNCT
ejpam-5957	7	5	k)yk	k)yk	PROPN
ejpam-5957	7	6	,	,	PUNCT
ejpam-5957	7	7	(	(	PUNCT
ejpam-5957	7	8	1	1	X
ejpam-5957	7	9	)	)	PUNCT
ejpam-5957	7	10	where	where	SCONJ
ejpam-5957	7	11	s(n	s(n	PROPN
ejpam-5957	7	12	,	,	PUNCT
ejpam-5957	7	13	k	k	NOUN
ejpam-5957	7	14	)	)	PUNCT
ejpam-5957	7	15	is	be	AUX
ejpam-5957	7	16	the	the	DET
ejpam-5957	7	17	stirling	stirling	NOUN
ejpam-5957	7	18	numbers	number	NOUN
ejpam-5957	7	19	of	of	ADP
ejpam-5957	7	20	the	the	DET
ejpam-5957	7	21	second	second	ADJ
ejpam-5957	7	22	kind	kind	NOUN
ejpam-5957	7	23	.	.	PUNCT
ejpam-5957	8	1	these	these	DET
ejpam-5957	8	2	polynomials	polynomial	NOUN
ejpam-5957	8	3	can	can	AUX
ejpam-5957	8	4	be	be	AUX
ejpam-5957	8	5	generated	generate	VERB
ejpam-5957	8	6	by	by	ADP
ejpam-5957	8	7	1	1	NUM
ejpam-5957	8	8	1−	1−	NUM
ejpam-5957	8	9	y(et	y(et	NOUN
ejpam-5957	8	10	−	−	PROPN
ejpam-5957	8	11	1	1	NUM
ejpam-5957	8	12	)	)	PUNCT
ejpam-5957	8	13	=	=	NOUN
ejpam-5957	9	1	∞∑	∞∑	PRON
ejpam-5957	9	2	n=0	n=0	NUM
ejpam-5957	9	3	fn(y	fn(y	NUM
ejpam-5957	9	4	)	)	PUNCT
ejpam-5957	9	5	tn	tn	PROPN
ejpam-5957	9	6	n	n	PROPN
ejpam-5957	9	7	!	!	PUNCT
ejpam-5957	9	8	.	.	PUNCT
ejpam-5957	10	1	(	(	PUNCT
ejpam-5957	10	2	2	2	X
ejpam-5957	10	3	)	)	PUNCT
ejpam-5957	10	4	note	note	NOUN
ejpam-5957	10	5	that	that	SCONJ
ejpam-5957	10	6	when	when	SCONJ
ejpam-5957	10	7	setting	set	VERB
ejpam-5957	10	8	y	y	NOUN
ejpam-5957	10	9	=	=	SYM
ejpam-5957	10	10	1	1	NUM
ejpam-5957	10	11	,	,	PUNCT
ejpam-5957	10	12	gives	give	VERB
ejpam-5957	10	13	fn(1	fn(1	PRON
ejpam-5957	10	14	)	)	PUNCT
ejpam-5957	10	15	=	=	SYM
ejpam-5957	10	16	fn	fn	NOUN
ejpam-5957	10	17	,	,	PUNCT
ejpam-5957	10	18	the	the	DET
ejpam-5957	10	19	classical	classical	ADJ
ejpam-5957	10	20	fubini	fubini	ADJ
ejpam-5957	10	21	number	number	NOUN
ejpam-5957	10	22	.	.	PUNCT
ejpam-5957	11	1	one	one	NUM
ejpam-5957	11	2	calls	call	VERB
ejpam-5957	11	3	these	these	DET
ejpam-5957	11	4	numbers	number	NOUN
ejpam-5957	11	5	the	the	DET
ejpam-5957	11	6	fubini	fubini	ADJ
ejpam-5957	11	7	numbers	number	NOUN
ejpam-5957	11	8	,	,	PUNCT
ejpam-5957	11	9	ordered	order	VERB
ejpam-5957	11	10	bell	bell	NOUN
ejpam-5957	11	11	numbers	number	NOUN
ejpam-5957	11	12	,	,	PUNCT
ejpam-5957	11	13	or	or	CCONJ
ejpam-5957	11	14	geometric	geometric	ADJ
ejpam-5957	11	15	numbers	number	NOUN
ejpam-5957	11	16	.	.	PUNCT
ejpam-5957	12	1	in	in	ADP
ejpam-5957	12	2	∗corresponding	∗corresponde	VERB
ejpam-5957	12	3	author	author	NOUN
ejpam-5957	12	4	.	.	PUNCT
ejpam-5957	13	1	doi	doi	NOUN
ejpam-5957	13	2	:	:	PUNCT
ejpam-5957	13	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5957	https://doi.org/10.29020/nybg.ejpam.v18i2.5957	NOUN
ejpam-5957	13	4	email	email	NOUN
ejpam-5957	13	5	addresses	address	NOUN
ejpam-5957	13	6	:	:	PUNCT
ejpam-5957	13	7	bago.rg36@s.msumain.edu.ph	bago.rg36@s.msumain.edu.ph	NUM
ejpam-5957	13	8	(	(	PUNCT
ejpam-5957	13	9	r.	r.	PROPN
ejpam-5957	13	10	g.	g.	PROPN
ejpam-5957	13	11	bago	bago	PROPN
ejpam-5957	13	12	)	)	PUNCT
ejpam-5957	13	13	,	,	PUNCT
ejpam-5957	13	14	normalah.abdulcarim@msumain.edu.ph	normalah.abdulcarim@msumain.edu.ph	PROPN
ejpam-5957	13	15	(	(	PUNCT
ejpam-5957	13	16	n.	n.	PROPN
ejpam-5957	13	17	s.	s.	PROPN
ejpam-5957	13	18	abdulcarim	abdulcarim	PROPN
ejpam-5957	13	19	)	)	PUNCT
ejpam-5957	13	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5957	14	1	1	1	NUM
ejpam-5957	14	2	copyright	copyright	NOUN
ejpam-5957	14	3	:	:	PUNCT
ejpam-5957	14	4	©	©	PROPN
ejpam-5957	14	5	2025	2025	NUM
ejpam-5957	14	6	the	the	DET
ejpam-5957	14	7	author(s	author(s	NOUN
ejpam-5957	14	8	)	)	PUNCT
ejpam-5957	14	9	.	.	PUNCT
ejpam-5957	15	1	(	(	PUNCT
ejpam-5957	15	2	cc	cc	NOUN
ejpam-5957	15	3	by	by	ADP
ejpam-5957	15	4	-	-	PUNCT
ejpam-5957	15	5	nc	nc	PROPN
ejpam-5957	15	6	4.0	4.0	NUM
ejpam-5957	15	7	)	)	PUNCT
ejpam-5957	15	8	r.	r.	PROPN
ejpam-5957	15	9	g.	g.	PROPN
ejpam-5957	15	10	bago	bago	PROPN
ejpam-5957	15	11	,	,	PUNCT
ejpam-5957	15	12	n.	n.	PROPN
ejpam-5957	15	13	s.	s.	PROPN
ejpam-5957	15	14	abdulcarim	abdulcarim	PROPN
ejpam-5957	15	15	/	/	SYM
ejpam-5957	15	16	eur	eur	PROPN
ejpam-5957	15	17	.	.	PUNCT
ejpam-5957	16	1	j.	j.	PROPN
ejpam-5957	16	2	pure	pure	PROPN
ejpam-5957	16	3	appl	appl	PROPN
ejpam-5957	16	4	.	.	PROPN
ejpam-5957	16	5	math	math	PROPN
ejpam-5957	16	6	,	,	PUNCT
ejpam-5957	16	7	18	18	NUM
ejpam-5957	16	8	(	(	PUNCT
ejpam-5957	16	9	2	2	NUM
ejpam-5957	16	10	)	)	PUNCT
ejpam-5957	16	11	(	(	PUNCT
ejpam-5957	16	12	2025	2025	NUM
ejpam-5957	16	13	)	)	PUNCT
ejpam-5957	16	14	,	,	PUNCT
ejpam-5957	16	15	5957	5957	NUM
ejpam-5957	16	16	2	2	NUM
ejpam-5957	16	17	of	of	ADP
ejpam-5957	16	18	25	25	NUM
ejpam-5957	16	19	2017	2017	NUM
ejpam-5957	16	20	,	,	PUNCT
ejpam-5957	16	21	kargin	kargin	VERB
ejpam-5957	16	22	defined	define	VERB
ejpam-5957	16	23	the	the	DET
ejpam-5957	16	24	bivariate	bivariate	ADJ
ejpam-5957	16	25	fubini	fubini	ADJ
ejpam-5957	16	26	polynomials	polynomial	NOUN
ejpam-5957	16	27	fn(x	fn(x	X
ejpam-5957	16	28	,	,	PUNCT
ejpam-5957	16	29	y	y	PROPN
ejpam-5957	16	30	)	)	PUNCT
ejpam-5957	16	31	(	(	PUNCT
ejpam-5957	16	32	see[2	see[2	NUM
ejpam-5957	16	33	]	]	PUNCT
ejpam-5957	16	34	)	)	PUNCT
ejpam-5957	16	35	,	,	PUNCT
ejpam-5957	16	36	by	by	ADP
ejpam-5957	16	37	the	the	DET
ejpam-5957	16	38	following	follow	VERB
ejpam-5957	16	39	generating	generate	VERB
ejpam-5957	16	40	function	function	NOUN
ejpam-5957	16	41	∞∑	∞∑	PROPN
ejpam-5957	16	42	n=0	n=0	NUM
ejpam-5957	16	43	fn(x	fn(x	X
ejpam-5957	16	44	,	,	PUNCT
ejpam-5957	16	45	y	y	NOUN
ejpam-5957	16	46	)	)	PUNCT
ejpam-5957	16	47	tn	tn	PROPN
ejpam-5957	16	48	n	n	CCONJ
ejpam-5957	16	49	!	!	PUNCT
ejpam-5957	17	1	=	=	NOUN
ejpam-5957	17	2	ext	ext	NOUN
ejpam-5957	17	3	1−	1−	NUM
ejpam-5957	17	4	y(et	y(et	NOUN
ejpam-5957	17	5	−	−	PROPN
ejpam-5957	17	6	1	1	NUM
ejpam-5957	17	7	)	)	PUNCT
ejpam-5957	17	8	.	.	PUNCT
ejpam-5957	18	1	(	(	PUNCT
ejpam-5957	18	2	3	3	X
ejpam-5957	18	3	)	)	PUNCT
ejpam-5957	18	4	another	another	DET
ejpam-5957	18	5	well	well	ADV
ejpam-5957	18	6	-	-	PUNCT
ejpam-5957	18	7	researched	research	VERB
ejpam-5957	18	8	special	special	ADJ
ejpam-5957	18	9	polynomial	polynomial	NOUN
ejpam-5957	18	10	are	be	AUX
ejpam-5957	18	11	the	the	DET
ejpam-5957	18	12	hermite	hermite	ADJ
ejpam-5957	18	13	polynomials	polynomial	NOUN
ejpam-5957	18	14	introduced	introduce	VERB
ejpam-5957	18	15	by	by	ADP
ejpam-5957	18	16	french	french	ADJ
ejpam-5957	18	17	mathematician	mathematician	ADJ
ejpam-5957	18	18	charles	charle	NOUN
ejpam-5957	18	19	hermite	hermite	PROPN
ejpam-5957	18	20	in	in	ADP
ejpam-5957	18	21	the	the	DET
ejpam-5957	18	22	mid-19th	mid-19th	ADJ
ejpam-5957	18	23	century	century	NOUN
ejpam-5957	18	24	,	,	PUNCT
ejpam-5957	18	25	which	which	PRON
ejpam-5957	18	26	are	be	AUX
ejpam-5957	18	27	deemed	deem	VERB
ejpam-5957	18	28	to	to	PART
ejpam-5957	18	29	be	be	AUX
ejpam-5957	18	30	the	the	DET
ejpam-5957	18	31	most	most	ADV
ejpam-5957	18	32	beneficial	beneficial	ADJ
ejpam-5957	18	33	orthogonal	orthogonal	ADJ
ejpam-5957	18	34	special	special	ADJ
ejpam-5957	18	35	functions	function	NOUN
ejpam-5957	18	36	during	during	ADP
ejpam-5957	18	37	the	the	DET
ejpam-5957	18	38	classical	classical	ADJ
ejpam-5957	18	39	period	period	NOUN
ejpam-5957	18	40	.	.	PUNCT
ejpam-5957	19	1	the	the	DET
ejpam-5957	19	2	hermite	hermite	ADJ
ejpam-5957	19	3	polynomials	polynomial	NOUN
ejpam-5957	19	4	hn(x	hn(x	X
ejpam-5957	19	5	)	)	PUNCT
ejpam-5957	19	6	defined	define	VERB
ejpam-5957	19	7	in	in	ADP
ejpam-5957	19	8	[	[	X
ejpam-5957	19	9	3	3	NUM
ejpam-5957	19	10	]	]	PUNCT
ejpam-5957	19	11	,	,	PUNCT
ejpam-5957	19	12	are	be	AUX
ejpam-5957	19	13	given	give	VERB
ejpam-5957	19	14	by	by	ADP
ejpam-5957	19	15	e−t2	e−t2	ADJ
ejpam-5957	19	16	+	+	PROPN
ejpam-5957	19	17	2tx	2tx	NOUN
ejpam-5957	19	18	=	=	PUNCT
ejpam-5957	19	19	∑	∑	PUNCT
ejpam-5957	19	20	n≥0	n≥0	PROPN
ejpam-5957	19	21	hn(x	hn(x	ADP
ejpam-5957	19	22	)	)	PUNCT
ejpam-5957	19	23	tn	tn	PROPN
ejpam-5957	19	24	n	n	NUM
ejpam-5957	19	25	!	!	PUNCT
ejpam-5957	19	26	.	.	PUNCT
ejpam-5957	20	1	(	(	PUNCT
ejpam-5957	20	2	4	4	X
ejpam-5957	20	3	)	)	PUNCT
ejpam-5957	20	4	later	later	ADV
ejpam-5957	20	5	on	on	ADV
ejpam-5957	20	6	,	,	PUNCT
ejpam-5957	20	7	it	it	PRON
ejpam-5957	20	8	was	be	AUX
ejpam-5957	20	9	then	then	ADV
ejpam-5957	20	10	generalized	generalize	VERB
ejpam-5957	20	11	by	by	ADP
ejpam-5957	20	12	appell	appell	PROPN
ejpam-5957	20	13	and	and	CCONJ
ejpam-5957	20	14	de	de	ADP
ejpam-5957	20	15	fériet	fériet	PROPN
ejpam-5957	21	1	[	[	X
ejpam-5957	21	2	4	4	X
ejpam-5957	21	3	]	]	PUNCT
ejpam-5957	21	4	as	as	SCONJ
ejpam-5957	21	5	follows	follow	VERB
ejpam-5957	21	6	:	:	PUNCT
ejpam-5957	21	7	hn(x	hn(x	NUM
ejpam-5957	21	8	,	,	PUNCT
ejpam-5957	21	9	y	y	NOUN
ejpam-5957	21	10	)	)	PUNCT
ejpam-5957	21	11	=	=	SYM
ejpam-5957	21	12	n	n	CCONJ
ejpam-5957	21	13	!	!	PUNCT
ejpam-5957	22	1	∞∑	∞∑	NUM
ejpam-5957	22	2	r=0	r=0	PROPN
ejpam-5957	22	3	yrxn−2r	yrxn−2r	NOUN
ejpam-5957	22	4	r!(n−	r!(n−	NOUN
ejpam-5957	22	5	2r	2r	NUM
ejpam-5957	22	6	)	)	PUNCT
ejpam-5957	22	7	!	!	PUNCT
ejpam-5957	23	1	,	,	PUNCT
ejpam-5957	23	2	(	(	PUNCT
ejpam-5957	23	3	5	5	X
ejpam-5957	23	4	)	)	PUNCT
ejpam-5957	23	5	which	which	PRON
ejpam-5957	23	6	are	be	AUX
ejpam-5957	23	7	now	now	ADV
ejpam-5957	23	8	well	well	ADV
ejpam-5957	23	9	-	-	PUNCT
ejpam-5957	23	10	known	know	VERB
ejpam-5957	23	11	as	as	ADP
ejpam-5957	23	12	the	the	DET
ejpam-5957	23	13	2	2	NUM
ejpam-5957	23	14	-	-	PUNCT
ejpam-5957	23	15	variable	variable	ADJ
ejpam-5957	23	16	hermite	hermite	ADJ
ejpam-5957	23	17	kamṕe	kamṕe	PROPN
ejpam-5957	23	18	de	de	PROPN
ejpam-5957	23	19	fériet	fériet	PROPN
ejpam-5957	23	20	polynomials	polynomial	NOUN
ejpam-5957	23	21	.	.	PUNCT
ejpam-5957	24	1	these	these	DET
ejpam-5957	24	2	polynomials	polynomial	NOUN
ejpam-5957	24	3	exponentially	exponentially	ADV
ejpam-5957	24	4	defined	define	VERB
ejpam-5957	24	5	by	by	ADP
ejpam-5957	24	6	the	the	DET
ejpam-5957	24	7	following	follow	VERB
ejpam-5957	24	8	generating	generate	VERB
ejpam-5957	24	9	function	function	NOUN
ejpam-5957	24	10	:	:	PUNCT
ejpam-5957	24	11	∞∑	∞∑	NUM
ejpam-5957	24	12	n=0	n=0	NUM
ejpam-5957	24	13	hn(x	hn(x	X
ejpam-5957	24	14	,	,	PUNCT
ejpam-5957	24	15	y	y	PROPN
ejpam-5957	24	16	)	)	PUNCT
ejpam-5957	24	17	tn	tn	PROPN
ejpam-5957	24	18	n	n	PROPN
ejpam-5957	24	19	!	!	PUNCT
ejpam-5957	24	20	=	=	X
ejpam-5957	24	21	ext+yt2	ext+yt2	PROPN
ejpam-5957	24	22	.	.	PUNCT
ejpam-5957	25	1	(	(	PUNCT
ejpam-5957	25	2	6	6	NUM
ejpam-5957	25	3	)	)	PUNCT
ejpam-5957	25	4	then	then	ADV
ejpam-5957	25	5	in	in	ADP
ejpam-5957	25	6	2019	2019	NUM
ejpam-5957	25	7	,	,	PUNCT
ejpam-5957	25	8	another	another	DET
ejpam-5957	25	9	type	type	NOUN
ejpam-5957	25	10	of	of	ADP
ejpam-5957	25	11	hermite	hermite	ADJ
ejpam-5957	25	12	polynomials	polynomial	NOUN
ejpam-5957	25	13	involving	involve	VERB
ejpam-5957	25	14	fubini	fubini	ADJ
ejpam-5957	25	15	polynomials	polynomial	NOUN
ejpam-5957	25	16	was	be	AUX
ejpam-5957	25	17	introduced	introduce	VERB
ejpam-5957	25	18	by	by	ADP
ejpam-5957	25	19	khan	khan	PROPN
ejpam-5957	25	20	et	et	PROPN
ejpam-5957	25	21	al	al	PROPN
ejpam-5957	26	1	[	[	X
ejpam-5957	26	2	5	5	NUM
ejpam-5957	26	3	]	]	PUNCT
ejpam-5957	26	4	,	,	PUNCT
ejpam-5957	26	5	which	which	PRON
ejpam-5957	26	6	was	be	AUX
ejpam-5957	26	7	the	the	DET
ejpam-5957	26	8	hermite	hermite	ADJ
ejpam-5957	26	9	-	-	PUNCT
ejpam-5957	26	10	fubini	fubini	ADJ
ejpam-5957	26	11	polynomials	polynomial	NOUN
ejpam-5957	26	12	.	.	PUNCT
ejpam-5957	27	1	they	they	PRON
ejpam-5957	27	2	defined	define	VERB
ejpam-5957	27	3	the	the	DET
ejpam-5957	27	4	3	3	NUM
ejpam-5957	27	5	-	-	PUNCT
ejpam-5957	27	6	variable	variable	ADJ
ejpam-5957	27	7	hermite	hermite	ADJ
ejpam-5957	27	8	-	-	PUNCT
ejpam-5957	27	9	fubini	fubini	ADJ
ejpam-5957	27	10	polynomials	polynomial	NOUN
ejpam-5957	27	11	by	by	ADP
ejpam-5957	27	12	means	mean	NOUN
ejpam-5957	27	13	of	of	ADP
ejpam-5957	27	14	the	the	DET
ejpam-5957	27	15	following	follow	VERB
ejpam-5957	27	16	generating	generating	NOUN
ejpam-5957	27	17	function	function	NOUN
ejpam-5957	27	18	ext+yt2	ext+yt2	NOUN
ejpam-5957	27	19	1−	1−	NUM
ejpam-5957	27	20	z(et	z(et	NOUN
ejpam-5957	27	21	−	−	PROPN
ejpam-5957	27	22	1	1	NUM
ejpam-5957	27	23	)	)	PUNCT
ejpam-5957	27	24	=	=	NOUN
ejpam-5957	28	1	∞∑	∞∑	PRON
ejpam-5957	28	2	n=0	n=0	NUM
ejpam-5957	28	3	hfn(x	hfn(x	PROPN
ejpam-5957	28	4	,	,	PUNCT
ejpam-5957	28	5	y	y	PROPN
ejpam-5957	28	6	;	;	PUNCT
ejpam-5957	28	7	z	z	X
ejpam-5957	28	8	)	)	PUNCT
ejpam-5957	28	9	tn	tn	PROPN
ejpam-5957	28	10	n	n	PROPN
ejpam-5957	28	11	!	!	PUNCT
ejpam-5957	28	12	.	.	PUNCT
ejpam-5957	29	1	for	for	ADP
ejpam-5957	29	2	y	y	PROPN
ejpam-5957	29	3	=	=	SYM
ejpam-5957	29	4	0	0	NUM
ejpam-5957	29	5	in	in	ADP
ejpam-5957	29	6	the	the	DET
ejpam-5957	29	7	above	above	ADJ
ejpam-5957	29	8	equation	equation	NOUN
ejpam-5957	29	9	,	,	PUNCT
ejpam-5957	29	10	they	they	PRON
ejpam-5957	29	11	obtain	obtain	VERB
ejpam-5957	29	12	the	the	DET
ejpam-5957	29	13	bivariate	bivariate	ADJ
ejpam-5957	29	14	fubini	fubini	ADJ
ejpam-5957	29	15	polynomials	polynomial	NOUN
ejpam-5957	29	16	.	.	PUNCT
ejpam-5957	30	1	they	they	PRON
ejpam-5957	30	2	also	also	ADV
ejpam-5957	30	3	investigate	investigate	VERB
ejpam-5957	30	4	some	some	DET
ejpam-5957	30	5	properties	property	NOUN
ejpam-5957	30	6	of	of	ADP
ejpam-5957	30	7	these	these	DET
ejpam-5957	30	8	polynomials	polynomial	NOUN
ejpam-5957	30	9	and	and	CCONJ
ejpam-5957	30	10	then	then	ADV
ejpam-5957	30	11	establish	establish	VERB
ejpam-5957	30	12	summation	summation	NOUN
ejpam-5957	30	13	formulas	formula	NOUN
ejpam-5957	30	14	and	and	CCONJ
ejpam-5957	30	15	derive	derive	VERB
ejpam-5957	30	16	symmetric	symmetric	ADJ
ejpam-5957	30	17	identities	identity	NOUN
ejpam-5957	30	18	.	.	PUNCT
ejpam-5957	31	1	recently	recently	ADV
ejpam-5957	31	2	,	,	PUNCT
ejpam-5957	31	3	researchers	researcher	NOUN
ejpam-5957	31	4	have	have	AUX
ejpam-5957	31	5	studied	study	VERB
ejpam-5957	31	6	and	and	CCONJ
ejpam-5957	31	7	investigated	investigate	VERB
ejpam-5957	31	8	another	another	DET
ejpam-5957	31	9	type	type	NOUN
ejpam-5957	31	10	of	of	ADP
ejpam-5957	31	11	special	special	ADJ
ejpam-5957	31	12	polynomial	polynomial	NOUN
ejpam-5957	31	13	called	call	VERB
ejpam-5957	31	14	gould	gould	PROPN
ejpam-5957	31	15	-	-	PUNCT
ejpam-5957	31	16	hopper	hopper	NOUN
ejpam-5957	31	17	polynomials	polynomial	NOUN
ejpam-5957	31	18	.	.	PUNCT
ejpam-5957	32	1	these	these	DET
ejpam-5957	32	2	polynomials	polynomial	NOUN
ejpam-5957	32	3	sometimes	sometimes	ADV
ejpam-5957	32	4	also	also	ADV
ejpam-5957	32	5	called	call	VERB
ejpam-5957	32	6	higher	high	ADJ
ejpam-5957	32	7	-	-	PUNCT
ejpam-5957	32	8	order	order	NOUN
ejpam-5957	32	9	hermite	hermite	ADJ
ejpam-5957	32	10	or	or	CCONJ
ejpam-5957	32	11	kamṕe	kamṕe	PROPN
ejpam-5957	32	12	de	de	PROPN
ejpam-5957	32	13	fériet	fériet	PROPN
ejpam-5957	32	14	polynomials	polynomial	NOUN
ejpam-5957	32	15	.	.	PUNCT
ejpam-5957	33	1	in	in	ADP
ejpam-5957	33	2	1962	1962	NUM
ejpam-5957	33	3	,	,	PUNCT
ejpam-5957	33	4	gould	gould	PROPN
ejpam-5957	33	5	and	and	CCONJ
ejpam-5957	33	6	hopper	hopper	NOUN
ejpam-5957	33	7	[	[	X
ejpam-5957	33	8	6	6	NUM
ejpam-5957	33	9	]	]	PUNCT
ejpam-5957	33	10	defined	define	VERB
ejpam-5957	33	11	the	the	DET
ejpam-5957	33	12	gould	gould	PROPN
ejpam-5957	33	13	-	-	PUNCT
ejpam-5957	33	14	hopper	hopper	NOUN
ejpam-5957	33	15	polynomials	polynomial	NOUN
ejpam-5957	33	16	h	h	NOUN
ejpam-5957	33	17	(	(	PUNCT
ejpam-5957	33	18	j	j	NOUN
ejpam-5957	33	19	)	)	PUNCT
ejpam-5957	33	20	n	n	PROPN
ejpam-5957	33	21	(	(	PUNCT
ejpam-5957	33	22	x	x	NOUN
ejpam-5957	33	23	,	,	PUNCT
ejpam-5957	33	24	y	y	PROPN
ejpam-5957	33	25	)	)	PUNCT
ejpam-5957	33	26	by	by	ADP
ejpam-5957	33	27	means	mean	NOUN
ejpam-5957	33	28	of	of	ADP
ejpam-5957	33	29	the	the	DET
ejpam-5957	33	30	following	follow	VERB
ejpam-5957	33	31	generating	generate	VERB
ejpam-5957	33	32	function	function	NOUN
ejpam-5957	33	33	ext+ytj	ext+ytj	NOUN
ejpam-5957	33	34	=	=	PUNCT
ejpam-5957	34	1	∞∑	∞∑	PRON
ejpam-5957	34	2	n=0	n=0	NUM
ejpam-5957	34	3	h(j	h(j	NOUN
ejpam-5957	34	4	)	)	PUNCT
ejpam-5957	34	5	n	n	CCONJ
ejpam-5957	34	6	(	(	PUNCT
ejpam-5957	34	7	x	x	NOUN
ejpam-5957	34	8	,	,	PUNCT
ejpam-5957	34	9	y	y	PROPN
ejpam-5957	34	10	)	)	PUNCT
ejpam-5957	34	11	tn	tn	PROPN
ejpam-5957	34	12	n	n	PROPN
ejpam-5957	34	13	!	!	PUNCT
ejpam-5957	34	14	.	.	PUNCT
ejpam-5957	35	1	(	(	PUNCT
ejpam-5957	35	2	7	7	X
ejpam-5957	35	3	)	)	PUNCT
ejpam-5957	35	4	these	these	DET
ejpam-5957	35	5	polynomials	polynomial	NOUN
ejpam-5957	35	6	are	be	AUX
ejpam-5957	35	7	represented	represent	VERB
ejpam-5957	35	8	by	by	ADP
ejpam-5957	35	9	the	the	DET
ejpam-5957	35	10	series	series	NOUN
ejpam-5957	35	11	:	:	PUNCT
ejpam-5957	35	12	h(j	h(j	PROPN
ejpam-5957	35	13	)	)	PUNCT
ejpam-5957	35	14	n	n	CCONJ
ejpam-5957	35	15	(	(	PUNCT
ejpam-5957	35	16	x	x	NOUN
ejpam-5957	35	17	,	,	PUNCT
ejpam-5957	35	18	y	y	NOUN
ejpam-5957	35	19	)	)	PUNCT
ejpam-5957	35	20	=	=	SYM
ejpam-5957	36	1	n	n	X
ejpam-5957	36	2	!	!	PUNCT
ejpam-5957	37	1	[	[	PUNCT
ejpam-5957	37	2	n	n	X
ejpam-5957	37	3	j	j	NOUN
ejpam-5957	37	4	]	]	X
ejpam-5957	37	5	∑	∑	PROPN
ejpam-5957	37	6	k=0	k=0	ADJ
ejpam-5957	37	7	xn−jkyk	xn−jkyk	X
ejpam-5957	37	8	(	(	PUNCT
ejpam-5957	37	9	n−	n−	NOUN
ejpam-5957	37	10	jk)!k	jk)!k	PROPN
ejpam-5957	37	11	!	!	PUNCT
ejpam-5957	37	12	.	.	PUNCT
ejpam-5957	38	1	(	(	PUNCT
ejpam-5957	38	2	8)	8)	NUM
ejpam-5957	38	3	r.	r.	PROPN
ejpam-5957	38	4	g.	g.	PROPN
ejpam-5957	38	5	bago	bago	PROPN
ejpam-5957	38	6	,	,	PUNCT
ejpam-5957	38	7	n.	n.	PROPN
ejpam-5957	38	8	s.	s.	PROPN
ejpam-5957	38	9	abdulcarim	abdulcarim	PROPN
ejpam-5957	38	10	/	/	SYM
ejpam-5957	38	11	eur	eur	PROPN
ejpam-5957	38	12	.	.	PUNCT
ejpam-5957	39	1	j.	j.	PROPN
ejpam-5957	39	2	pure	pure	PROPN
ejpam-5957	39	3	appl	appl	PROPN
ejpam-5957	39	4	.	.	PROPN
ejpam-5957	39	5	math	math	PROPN
ejpam-5957	39	6	,	,	PUNCT
ejpam-5957	39	7	18	18	NUM
ejpam-5957	39	8	(	(	PUNCT
ejpam-5957	39	9	2	2	NUM
ejpam-5957	39	10	)	)	PUNCT
ejpam-5957	39	11	(	(	PUNCT
ejpam-5957	39	12	2025	2025	NUM
ejpam-5957	39	13	)	)	PUNCT
ejpam-5957	39	14	,	,	PUNCT
ejpam-5957	39	15	5957	5957	NUM
ejpam-5957	39	16	3	3	NUM
ejpam-5957	39	17	of	of	ADP
ejpam-5957	39	18	25	25	NUM
ejpam-5957	39	19	when	when	SCONJ
ejpam-5957	39	20	setting	set	VERB
ejpam-5957	39	21	j	j	PROPN
ejpam-5957	39	22	=	=	SYM
ejpam-5957	39	23	2	2	NUM
ejpam-5957	39	24	,	,	PUNCT
ejpam-5957	39	25	h	h	NOUN
ejpam-5957	39	26	(	(	PUNCT
ejpam-5957	39	27	2	2	NUM
ejpam-5957	39	28	)	)	PUNCT
ejpam-5957	39	29	n	n	NOUN
ejpam-5957	39	30	(	(	PUNCT
ejpam-5957	39	31	x	x	NOUN
ejpam-5957	39	32	,	,	PUNCT
ejpam-5957	39	33	y	y	NOUN
ejpam-5957	39	34	)	)	PUNCT
ejpam-5957	39	35	=	=	SYM
ejpam-5957	39	36	hn(x	hn(x	ADP
ejpam-5957	39	37	,	,	PUNCT
ejpam-5957	39	38	y	y	PROPN
ejpam-5957	39	39	)	)	PUNCT
ejpam-5957	39	40	,	,	PUNCT
ejpam-5957	39	41	where	where	SCONJ
ejpam-5957	39	42	hn(x	hn(x	ADP
ejpam-5957	39	43	,	,	PUNCT
ejpam-5957	39	44	y	y	NOUN
ejpam-5957	39	45	)	)	PUNCT
ejpam-5957	39	46	is	be	AUX
ejpam-5957	39	47	the	the	DET
ejpam-5957	39	48	2	2	NUM
ejpam-5957	39	49	-	-	PUNCT
ejpam-5957	39	50	variable	variable	ADJ
ejpam-5957	39	51	hermite	hermite	ADJ
ejpam-5957	39	52	kamṕe	kamṕe	PROPN
ejpam-5957	39	53	de	de	PROPN
ejpam-5957	39	54	fériet	fériet	PROPN
ejpam-5957	39	55	polynomials	polynomial	NOUN
ejpam-5957	39	56	.	.	PUNCT
ejpam-5957	40	1	in	in	ADP
ejpam-5957	40	2	this	this	DET
ejpam-5957	40	3	paper	paper	NOUN
ejpam-5957	40	4	,	,	PUNCT
ejpam-5957	40	5	the	the	DET
ejpam-5957	40	6	authors	author	NOUN
ejpam-5957	40	7	introduced	introduce	VERB
ejpam-5957	40	8	the	the	DET
ejpam-5957	40	9	gould	gould	PROPN
ejpam-5957	40	10	-	-	PUNCT
ejpam-5957	40	11	hopper	hopper	NOUN
ejpam-5957	40	12	-	-	PUNCT
ejpam-5957	40	13	based	base	VERB
ejpam-5957	40	14	bivariate	bivariate	ADJ
ejpam-5957	40	15	fubini	fubini	ADJ
ejpam-5957	40	16	polynomials	polynomial	NOUN
ejpam-5957	40	17	which	which	PRON
ejpam-5957	40	18	we	we	PRON
ejpam-5957	40	19	define	define	VERB
ejpam-5957	40	20	in	in	ADP
ejpam-5957	40	21	parallel	parallel	NOUN
ejpam-5957	40	22	to	to	ADP
ejpam-5957	40	23	the	the	DET
ejpam-5957	40	24	definition	definition	NOUN
ejpam-5957	40	25	of	of	ADP
ejpam-5957	40	26	3	3	NUM
ejpam-5957	40	27	-	-	PUNCT
ejpam-5957	40	28	variable	variable	ADJ
ejpam-5957	40	29	hermite	hermite	ADJ
ejpam-5957	40	30	-	-	PUNCT
ejpam-5957	40	31	fubini	fubini	ADJ
ejpam-5957	40	32	polynomials	polynomial	NOUN
ejpam-5957	40	33	described	describe	VERB
ejpam-5957	40	34	in	in	ADP
ejpam-5957	40	35	[	[	X
ejpam-5957	40	36	5	5	NUM
ejpam-5957	40	37	]	]	PUNCT
ejpam-5957	40	38	.	.	PUNCT
ejpam-5957	41	1	we	we	PRON
ejpam-5957	41	2	use	use	VERB
ejpam-5957	41	3	j	j	PROPN
ejpam-5957	41	4	instead	instead	ADV
ejpam-5957	41	5	of	of	ADP
ejpam-5957	41	6	2	2	NUM
ejpam-5957	41	7	making	make	VERB
ejpam-5957	41	8	it	it	PRON
ejpam-5957	41	9	a	a	DET
ejpam-5957	41	10	generalization	generalization	NOUN
ejpam-5957	41	11	of	of	ADP
ejpam-5957	41	12	hermite	hermite	ADJ
ejpam-5957	41	13	-	-	PUNCT
ejpam-5957	41	14	fubini	fubini	ADJ
ejpam-5957	41	15	polynomials	polynomial	NOUN
ejpam-5957	41	16	and	and	CCONJ
ejpam-5957	41	17	investigate	investigate	VERB
ejpam-5957	41	18	some	some	PRON
ejpam-5957	41	19	of	of	ADP
ejpam-5957	41	20	its	its	PRON
ejpam-5957	41	21	properties	property	NOUN
ejpam-5957	41	22	.	.	PUNCT
ejpam-5957	42	1	2	2	X
ejpam-5957	42	2	.	.	X
ejpam-5957	42	3	preliminaries	preliminary	NOUN
ejpam-5957	42	4	definition	definition	NOUN
ejpam-5957	42	5	1	1	NUM
ejpam-5957	42	6	.	.	PUNCT
ejpam-5957	43	1	[	[	X
ejpam-5957	43	2	3	3	X
ejpam-5957	43	3	]	]	X
ejpam-5957	43	4	the	the	DET
ejpam-5957	43	5	n	n	ADV
ejpam-5957	43	6	falling	fall	VERB
ejpam-5957	43	7	factorial	factorial	NOUN
ejpam-5957	43	8	of	of	ADP
ejpam-5957	43	9	order	order	NOUN
ejpam-5957	43	10	k	k	NOUN
ejpam-5957	43	11	,	,	PUNCT
ejpam-5957	43	12	denoted	denote	VERB
ejpam-5957	43	13	by	by	ADP
ejpam-5957	43	14	(	(	PUNCT
ejpam-5957	43	15	n)k	n)k	ADV
ejpam-5957	43	16	,	,	PUNCT
ejpam-5957	43	17	is	be	AUX
ejpam-5957	43	18	defined	define	VERB
ejpam-5957	43	19	as	as	ADP
ejpam-5957	43	20	(	(	PUNCT
ejpam-5957	43	21	n)k	n)k	X
ejpam-5957	43	22	=	=	PUNCT
ejpam-5957	44	1	k∏	k∏	PROPN
ejpam-5957	44	2	i=1	i=1	PROPN
ejpam-5957	44	3	(	(	PUNCT
ejpam-5957	44	4	n−	n−	NOUN
ejpam-5957	44	5	i+	i+	NOUN
ejpam-5957	44	6	1	1	NUM
ejpam-5957	44	7	)	)	PUNCT
ejpam-5957	44	8	=	=	SYM
ejpam-5957	44	9	n	n	X
ejpam-5957	44	10	!	!	PUNCT
ejpam-5957	45	1	(	(	PUNCT
ejpam-5957	45	2	n−	n−	NOUN
ejpam-5957	45	3	k	k	NOUN
ejpam-5957	45	4	)	)	PUNCT
ejpam-5957	45	5	!	!	PUNCT
ejpam-5957	46	1	=	=	PRON
ejpam-5957	46	2	n(n−	n(n−	PROPN
ejpam-5957	46	3	1)	1)	NUM
ejpam-5957	46	4	...	...	PUNCT
ejpam-5957	46	5	(n−	(n−	X
ejpam-5957	47	1	k	k	X
ejpam-5957	48	1	+	+	PROPN
ejpam-5957	48	2	1	1	NUM
ejpam-5957	48	3	)	)	PUNCT
ejpam-5957	48	4	,	,	PUNCT
ejpam-5957	48	5	if	if	SCONJ
ejpam-5957	48	6	k	k	PROPN
ejpam-5957	48	7	≥	≥	NOUN
ejpam-5957	48	8	1	1	NUM
ejpam-5957	48	9	;	;	PUNCT
ejpam-5957	48	10	(	(	PUNCT
ejpam-5957	48	11	n)0	n)0	PROPN
ejpam-5957	48	12	=	=	SYM
ejpam-5957	48	13	1	1	X
ejpam-5957	48	14	.	.	PUNCT
ejpam-5957	48	15	theorem	theorem	NOUN
ejpam-5957	48	16	1	1	NUM
ejpam-5957	48	17	.	.	PUNCT
ejpam-5957	49	1	[	[	X
ejpam-5957	49	2	7](newton	7](newton	X
ejpam-5957	49	3	’s	’s	NOUN
ejpam-5957	49	4	binomial	binomial	ADJ
ejpam-5957	49	5	theorem	theorem	NOUN
ejpam-5957	49	6	)	)	PUNCT
ejpam-5957	49	7	for	for	ADP
ejpam-5957	49	8	all	all	DET
ejpam-5957	49	9	real	real	ADJ
ejpam-5957	49	10	numbers	number	NOUN
ejpam-5957	49	11	r	r	NOUN
ejpam-5957	49	12	,	,	PUNCT
ejpam-5957	49	13	(	(	PUNCT
ejpam-5957	49	14	1	1	NUM
ejpam-5957	49	15	+	+	CCONJ
ejpam-5957	49	16	x)r	x)r	PUNCT
ejpam-5957	49	17	=	=	PUNCT
ejpam-5957	50	1	∞∑	∞∑	NUM
ejpam-5957	50	2	i=0	i=0	PROPN
ejpam-5957	50	3	(	(	PUNCT
ejpam-5957	50	4	r	r	NOUN
ejpam-5957	50	5	i	i	PROPN
ejpam-5957	50	6	)	)	PUNCT
ejpam-5957	50	7	xi	xi	PROPN
ejpam-5957	50	8	,	,	PUNCT
ejpam-5957	50	9	where	where	SCONJ
ejpam-5957	50	10	(	(	PUNCT
ejpam-5957	50	11	r	r	NOUN
ejpam-5957	50	12	i	i	PROPN
ejpam-5957	50	13	)	)	PUNCT
ejpam-5957	50	14	=	=	PRON
ejpam-5957	50	15	{	{	PUNCT
ejpam-5957	50	16	1	1	NUM
ejpam-5957	50	17	,	,	PUNCT
ejpam-5957	50	18	if	if	SCONJ
ejpam-5957	50	19	i	i	PRON
ejpam-5957	50	20	=	=	SYM
ejpam-5957	50	21	0	0	NUM
ejpam-5957	50	22	,	,	PUNCT
ejpam-5957	50	23	r(r−1)	r(r−1)	NOUN
ejpam-5957	50	24	...	...	PUNCT
ejpam-5957	50	25	(r−i+1	(r−i+1	NOUN
ejpam-5957	50	26	)	)	PUNCT
ejpam-5957	51	1	i	i	PRON
ejpam-5957	51	2	!	!	PUNCT
ejpam-5957	52	1	,	,	PUNCT
ejpam-5957	52	2	if	if	SCONJ
ejpam-5957	52	3	i	i	PRON
ejpam-5957	52	4	>	>	X
ejpam-5957	52	5	0	0	X
ejpam-5957	52	6	.	.	PUNCT
ejpam-5957	52	7	remark	remark	PROPN
ejpam-5957	52	8	1	1	NUM
ejpam-5957	52	9	.	.	PUNCT
ejpam-5957	53	1	the	the	DET
ejpam-5957	53	2	following	follow	VERB
ejpam-5957	53	3	series	series	NOUN
ejpam-5957	53	4	arises	arise	VERB
ejpam-5957	53	5	in	in	ADP
ejpam-5957	53	6	the	the	DET
ejpam-5957	53	7	binomial	binomial	ADJ
ejpam-5957	53	8	theorem	theorem	NOUN
ejpam-5957	53	9	where	where	SCONJ
ejpam-5957	53	10	r	r	NOUN
ejpam-5957	53	11	is	be	AUX
ejpam-5957	53	12	any	any	DET
ejpam-5957	53	13	positive	positive	ADJ
ejpam-5957	53	14	real	real	ADJ
ejpam-5957	53	15	number	number	NOUN
ejpam-5957	53	16	,	,	PUNCT
ejpam-5957	53	17	(	(	PUNCT
ejpam-5957	53	18	x+	x+	X
ejpam-5957	53	19	y)−r	y)−r	X
ejpam-5957	53	20	=	=	SYM
ejpam-5957	53	21	∞∑	∞∑	NUM
ejpam-5957	53	22	i=0	i=0	PROPN
ejpam-5957	53	23	(	(	PUNCT
ejpam-5957	53	24	−1)i	−1)i	X
ejpam-5957	53	25	(	(	PUNCT
ejpam-5957	53	26	r	r	NOUN
ejpam-5957	53	27	+	+	X
ejpam-5957	53	28	i−	i−	PROPN
ejpam-5957	53	29	1	1	NUM
ejpam-5957	53	30	i	i	NOUN
ejpam-5957	53	31	)	)	PUNCT
ejpam-5957	53	32	x−r−iyi	x−r−iyi	ADV
ejpam-5957	53	33	,	,	PUNCT
ejpam-5957	53	34	(	(	PUNCT
ejpam-5957	53	35	|y|	|y|	X
ejpam-5957	53	36	<	<	X
ejpam-5957	53	37	|x|	|x|	PROPN
ejpam-5957	53	38	)	)	PUNCT
ejpam-5957	53	39	.	.	PUNCT
ejpam-5957	54	1	example	example	NOUN
ejpam-5957	55	1	1	1	X
ejpam-5957	55	2	.	.	X
ejpam-5957	55	3	consider	consider	VERB
ejpam-5957	55	4	the	the	DET
ejpam-5957	55	5	expression	expression	NOUN
ejpam-5957	55	6	[	[	PUNCT
ejpam-5957	55	7	1−	1−	NUM
ejpam-5957	55	8	y(et	y(et	NOUN
ejpam-5957	55	9	−	−	PROPN
ejpam-5957	55	10	1	1	NUM
ejpam-5957	55	11	)	)	PUNCT
ejpam-5957	55	12	]	]	X
ejpam-5957	55	13	−1	−1	NOUN
ejpam-5957	55	14	.	.	PUNCT
ejpam-5957	56	1	by	by	ADP
ejpam-5957	56	2	applying	apply	VERB
ejpam-5957	56	3	remark	remark	NOUN
ejpam-5957	56	4	1	1	NUM
ejpam-5957	56	5	,	,	PUNCT
ejpam-5957	56	6	we	we	PRON
ejpam-5957	56	7	have	have	VERB
ejpam-5957	56	8	[	[	PUNCT
ejpam-5957	56	9	1−	1−	NUM
ejpam-5957	56	10	y(et	y(et	NOUN
ejpam-5957	56	11	−	−	PROPN
ejpam-5957	56	12	1	1	NUM
ejpam-5957	56	13	)	)	PUNCT
ejpam-5957	56	14	]	]	PUNCT
ejpam-5957	56	15	−1	−1	NOUN
ejpam-5957	57	1	=	=	SYM
ejpam-5957	57	2	∞∑	∞∑	NUM
ejpam-5957	57	3	i=0	i=0	PROPN
ejpam-5957	57	4	(	(	PUNCT
ejpam-5957	57	5	−1)i	−1)i	X
ejpam-5957	57	6	(	(	PUNCT
ejpam-5957	57	7	1	1	NUM
ejpam-5957	57	8	+	+	NUM
ejpam-5957	57	9	i−	i−	PROPN
ejpam-5957	57	10	1	1	NUM
ejpam-5957	57	11	i	i	NOUN
ejpam-5957	57	12	)	)	PUNCT
ejpam-5957	57	13	(	(	PUNCT
ejpam-5957	57	14	1)−1−i[−y(et	1)−1−i[−y(et	NUM
ejpam-5957	57	15	−	−	NOUN
ejpam-5957	57	16	1)]i	1)]i	NUM
ejpam-5957	57	17	=	=	PUNCT
ejpam-5957	58	1	∞∑	∞∑	NUM
ejpam-5957	58	2	i=0	i=0	ADJ
ejpam-5957	58	3	yi(et	yi(et	NOUN
ejpam-5957	58	4	−	−	NOUN
ejpam-5957	58	5	1)i	1)i	NUM
ejpam-5957	58	6	.	.	PUNCT
ejpam-5957	58	7	r.	r.	PROPN
ejpam-5957	58	8	g.	g.	PROPN
ejpam-5957	58	9	bago	bago	PROPN
ejpam-5957	58	10	,	,	PUNCT
ejpam-5957	58	11	n.	n.	PROPN
ejpam-5957	58	12	s.	s.	PROPN
ejpam-5957	58	13	abdulcarim	abdulcarim	PROPN
ejpam-5957	58	14	/	/	SYM
ejpam-5957	58	15	eur	eur	PROPN
ejpam-5957	58	16	.	.	PUNCT
ejpam-5957	59	1	j.	j.	PROPN
ejpam-5957	59	2	pure	pure	PROPN
ejpam-5957	59	3	appl	appl	PROPN
ejpam-5957	59	4	.	.	PROPN
ejpam-5957	59	5	math	math	PROPN
ejpam-5957	59	6	,	,	PUNCT
ejpam-5957	59	7	18	18	NUM
ejpam-5957	59	8	(	(	PUNCT
ejpam-5957	59	9	2	2	NUM
ejpam-5957	59	10	)	)	PUNCT
ejpam-5957	59	11	(	(	PUNCT
ejpam-5957	59	12	2025	2025	NUM
ejpam-5957	59	13	)	)	PUNCT
ejpam-5957	59	14	,	,	PUNCT
ejpam-5957	59	15	5957	5957	NUM
ejpam-5957	59	16	4	4	NUM
ejpam-5957	59	17	of	of	ADP
ejpam-5957	59	18	25	25	NUM
ejpam-5957	59	19	definition	definition	NOUN
ejpam-5957	59	20	2	2	NUM
ejpam-5957	59	21	.	.	PUNCT
ejpam-5957	60	1	[	[	X
ejpam-5957	60	2	8	8	NUM
ejpam-5957	60	3	]	]	X
ejpam-5957	60	4	geometric	geometric	ADJ
ejpam-5957	60	5	series	series	NOUN
ejpam-5957	60	6	are	be	AUX
ejpam-5957	60	7	series	series	NOUN
ejpam-5957	60	8	of	of	ADP
ejpam-5957	60	9	the	the	DET
ejpam-5957	60	10	form	form	NOUN
ejpam-5957	60	11	a+	a+	PUNCT
ejpam-5957	60	12	ar	ar	PROPN
ejpam-5957	60	13	+	+	CCONJ
ejpam-5957	60	14	ar2	ar2	PROPN
ejpam-5957	60	15	+	+	X
ejpam-5957	60	16	·	·	PUNCT
ejpam-5957	60	17	·	·	PUNCT
ejpam-5957	60	18	·	·	PUNCT
ejpam-5957	61	1	+	+	PUNCT
ejpam-5957	61	2	arn−1	arn−1	PROPN
ejpam-5957	61	3	+	+	CCONJ
ejpam-5957	61	4	·	·	PUNCT
ejpam-5957	61	5	·	·	PUNCT
ejpam-5957	61	6	·	·	PUNCT
ejpam-5957	62	1	=	=	PUNCT
ejpam-5957	62	2	∞∑	∞∑	NUM
ejpam-5957	62	3	n=1	n=1	NUM
ejpam-5957	62	4	arn−r	arn−r	NOUN
ejpam-5957	62	5	(	(	PUNCT
ejpam-5957	62	6	9	9	NUM
ejpam-5957	62	7	)	)	PUNCT
ejpam-5957	62	8	in	in	ADP
ejpam-5957	62	9	which	which	PRON
ejpam-5957	62	10	a	a	PRON
ejpam-5957	62	11	and	and	CCONJ
ejpam-5957	62	12	r	r	NOUN
ejpam-5957	62	13	are	be	AUX
ejpam-5957	62	14	fixed	fix	VERB
ejpam-5957	62	15	real	real	ADJ
ejpam-5957	62	16	numbers	number	NOUN
ejpam-5957	62	17	and	and	CCONJ
ejpam-5957	62	18	a	a	DET
ejpam-5957	62	19	̸=	̸=	PROPN
ejpam-5957	62	20	0	0	NUM
ejpam-5957	62	21	.	.	PUNCT
ejpam-5957	63	1	the	the	DET
ejpam-5957	63	2	series	series	NOUN
ejpam-5957	63	3	can	can	AUX
ejpam-5957	63	4	also	also	ADV
ejpam-5957	63	5	be	be	AUX
ejpam-5957	63	6	written	write	VERB
ejpam-5957	63	7	as∑∞	as∑∞	PRON
ejpam-5957	63	8	n=0	n=0	X
ejpam-5957	63	9	ar	ar	NOUN
ejpam-5957	63	10	n.	n.	NOUN
ejpam-5957	63	11	the	the	DET
ejpam-5957	63	12	ratio	ratio	NOUN
ejpam-5957	63	13	r	r	NOUN
ejpam-5957	63	14	can	can	AUX
ejpam-5957	63	15	be	be	AUX
ejpam-5957	63	16	positive	positive	ADJ
ejpam-5957	63	17	or	or	CCONJ
ejpam-5957	63	18	negative	negative	ADJ
ejpam-5957	63	19	.	.	PUNCT
ejpam-5957	64	1	example	example	NOUN
ejpam-5957	65	1	2	2	NUM
ejpam-5957	65	2	.	.	X
ejpam-5957	65	3	for	for	ADP
ejpam-5957	65	4	positive	positive	ADJ
ejpam-5957	65	5	integers	integer	NOUN
ejpam-5957	65	6	a	a	PRON
ejpam-5957	65	7	and	and	CCONJ
ejpam-5957	65	8	b.	b.	PROPN
ejpam-5957	65	9	consider	consider	VERB
ejpam-5957	65	10	the	the	DET
ejpam-5957	65	11	geometric	geometric	ADJ
ejpam-5957	65	12	series	series	NOUN
ejpam-5957	65	13	a−1∑	a−1∑	PRON
ejpam-5957	65	14	n=0	n=0	PRON
ejpam-5957	65	15	ebtn	ebtn	NOUN
ejpam-5957	65	16	.	.	PUNCT
ejpam-5957	66	1	(	(	PUNCT
ejpam-5957	66	2	10	10	NUM
ejpam-5957	66	3	)	)	PUNCT
ejpam-5957	66	4	note	note	NOUN
ejpam-5957	66	5	that	that	SCONJ
ejpam-5957	66	6	ebt	ebt	PROPN
ejpam-5957	66	7	a−1∑	a−1∑	PRON
ejpam-5957	66	8	n=0	n=0	PROPN
ejpam-5957	66	9	ebtn	ebtn	NOUN
ejpam-5957	66	10	−	−	PROPN
ejpam-5957	66	11	a−1∑	a−1∑	PRON
ejpam-5957	66	12	n=0	n=0	PRON
ejpam-5957	66	13	ebtn	ebtn	PROPN
ejpam-5957	66	14	=(	=(	PROPN
ejpam-5957	66	15	ebt	ebt	PROPN
ejpam-5957	66	16	)	)	PUNCT
ejpam-5957	66	17	[	[	PUNCT
ejpam-5957	66	18	(	(	PUNCT
ejpam-5957	66	19	1	1	NUM
ejpam-5957	66	20	)	)	PUNCT
ejpam-5957	66	21	+	+	CCONJ
ejpam-5957	66	22	(	(	PUNCT
ejpam-5957	66	23	1)(ebt	1)(ebt	NUM
ejpam-5957	66	24	)	)	PUNCT
ejpam-5957	67	1	+	+	CCONJ
ejpam-5957	67	2	(	(	PUNCT
ejpam-5957	67	3	1)(ebt)2	1)(ebt)2	NUM
ejpam-5957	67	4	+	+	NUM
ejpam-5957	67	5	·	·	PUNCT
ejpam-5957	67	6	·	·	PUNCT
ejpam-5957	67	7	·	·	PUNCT
ejpam-5957	68	1	+	+	CCONJ
ejpam-5957	68	2	(	(	PUNCT
ejpam-5957	68	3	1)(ebt)a−1	1)(ebt)a−1	NUM
ejpam-5957	68	4	]	]	PUNCT
ejpam-5957	68	5	−	−	PROPN
ejpam-5957	68	6	[	[	PUNCT
ejpam-5957	68	7	(	(	PUNCT
ejpam-5957	68	8	1	1	NUM
ejpam-5957	68	9	)	)	PUNCT
ejpam-5957	68	10	+	+	CCONJ
ejpam-5957	68	11	(	(	PUNCT
ejpam-5957	68	12	1)(ebt	1)(ebt	NUM
ejpam-5957	68	13	)	)	PUNCT
ejpam-5957	69	1	+	+	CCONJ
ejpam-5957	69	2	(	(	PUNCT
ejpam-5957	69	3	1)(ebt)2	1)(ebt)2	NUM
ejpam-5957	69	4	+	+	NUM
ejpam-5957	69	5	·	·	PUNCT
ejpam-5957	69	6	·	·	PUNCT
ejpam-5957	69	7	·	·	PUNCT
ejpam-5957	69	8	+	+	CCONJ
ejpam-5957	69	9	(	(	PUNCT
ejpam-5957	69	10	1)(ebt)a−1	1)(ebt)a−1	NUM
ejpam-5957	69	11	]	]	PUNCT
ejpam-5957	69	12	ebt	ebt	PROPN
ejpam-5957	69	13	a−1∑	a−1∑	PRON
ejpam-5957	69	14	n=0	n=0	PROPN
ejpam-5957	69	15	ebtn	ebtn	NOUN
ejpam-5957	69	16	−	−	PROPN
ejpam-5957	69	17	a−1∑	a−1∑	PRON
ejpam-5957	69	18	n=0	n=0	PRON
ejpam-5957	69	19	ebtn	ebtn	NOUN
ejpam-5957	69	20	=	=	SYM
ejpam-5957	69	21	[	[	PUNCT
ejpam-5957	69	22	ebt	ebt	PROPN
ejpam-5957	69	23	+	+	CCONJ
ejpam-5957	69	24	(	(	PUNCT
ejpam-5957	69	25	ebt)2	ebt)2	PROPN
ejpam-5957	69	26	+	+	PROPN
ejpam-5957	69	27	(	(	PUNCT
ejpam-5957	69	28	ebt)3	ebt)3	PROPN
ejpam-5957	69	29	+	+	CCONJ
ejpam-5957	69	30	·	·	PUNCT
ejpam-5957	69	31	·	·	PUNCT
ejpam-5957	69	32	·	·	PUNCT
ejpam-5957	70	1	+	+	NUM
ejpam-5957	70	2	(	(	PUNCT
ejpam-5957	70	3	ebt)a	ebt)a	NOUN
ejpam-5957	70	4	]	]	X
ejpam-5957	70	5	−	−	PROPN
ejpam-5957	70	6	[	[	PUNCT
ejpam-5957	70	7	1	1	NUM
ejpam-5957	70	8	+	+	NUM
ejpam-5957	70	9	ebt	ebt	PROPN
ejpam-5957	70	10	+	+	CCONJ
ejpam-5957	70	11	(	(	PUNCT
ejpam-5957	70	12	ebt)2	ebt)2	PROPN
ejpam-5957	70	13	+	+	PROPN
ejpam-5957	70	14	·	·	PUNCT
ejpam-5957	70	15	·	·	PUNCT
ejpam-5957	70	16	·	·	PUNCT
ejpam-5957	70	17	+	+	CCONJ
ejpam-5957	70	18	(	(	PUNCT
ejpam-5957	70	19	ebt)a−1	ebt)a−1	X
ejpam-5957	70	20	]	]	PUNCT
ejpam-5957	70	21	a−1∑	a−1∑	PRON
ejpam-5957	70	22	n=0	n=0	PROPN
ejpam-5957	70	23	ebtn	ebtn	NOUN
ejpam-5957	70	24	(	(	PUNCT
ejpam-5957	70	25	ebt	ebt	PROPN
ejpam-5957	70	26	−	−	PROPN
ejpam-5957	70	27	1	1	NUM
ejpam-5957	70	28	)	)	PUNCT
ejpam-5957	70	29	=(	=(	NOUN
ejpam-5957	70	30	ebt)a	ebt)a	PROPN
ejpam-5957	70	31	−	−	PROPN
ejpam-5957	70	32	1	1	NUM
ejpam-5957	70	33	.	.	PUNCT
ejpam-5957	71	1	so	so	ADV
ejpam-5957	71	2	,	,	PUNCT
ejpam-5957	71	3	a−1∑	a−1∑	PRON
ejpam-5957	71	4	n=0	n=0	PRON
ejpam-5957	71	5	ebtn	ebtn	NOUN
ejpam-5957	71	6	=	=	SYM
ejpam-5957	71	7	(	(	PUNCT
ejpam-5957	71	8	ebt)a	ebt)a	NOUN
ejpam-5957	71	9	−	−	PROPN
ejpam-5957	71	10	1	1	NUM
ejpam-5957	71	11	ebt	ebt	PROPN
ejpam-5957	71	12	−	−	PROPN
ejpam-5957	71	13	1	1	NUM
ejpam-5957	71	14	.	.	PUNCT
ejpam-5957	72	1	(	(	PUNCT
ejpam-5957	72	2	11	11	NUM
ejpam-5957	72	3	)	)	PUNCT
ejpam-5957	72	4	theorem	theorem	NOUN
ejpam-5957	72	5	2	2	NUM
ejpam-5957	72	6	.	.	PUNCT
ejpam-5957	73	1	[	[	X
ejpam-5957	73	2	9	9	NUM
ejpam-5957	73	3	]	]	X
ejpam-5957	73	4	the	the	DET
ejpam-5957	73	5	following	follow	VERB
ejpam-5957	73	6	formula	formula	NOUN
ejpam-5957	73	7	holds	hold	VERB
ejpam-5957	73	8	∞∑	∞∑	NUM
ejpam-5957	73	9	m	m	NOUN
ejpam-5957	73	10	,	,	PUNCT
ejpam-5957	73	11	n=0	n=0	NUM
ejpam-5957	73	12	f(m+	f(m+	NOUN
ejpam-5957	73	13	n	n	CCONJ
ejpam-5957	73	14	)	)	PUNCT
ejpam-5957	73	15	xm	xm	PROPN
ejpam-5957	73	16	m	m	PROPN
ejpam-5957	73	17	!	!	PUNCT
ejpam-5957	74	1	yn	yn	PRON
ejpam-5957	74	2	n	n	CCONJ
ejpam-5957	74	3	!	!	PUNCT
ejpam-5957	74	4	=	=	PUNCT
ejpam-5957	75	1	∞∑	∞∑	PRON
ejpam-5957	75	2	n=0	n=0	NUM
ejpam-5957	75	3	f(n	f(n	PROPN
ejpam-5957	75	4	)	)	PUNCT
ejpam-5957	75	5	(	(	PUNCT
ejpam-5957	75	6	x+	x+	X
ejpam-5957	75	7	y)n	y)n	NUM
ejpam-5957	75	8	n	n	X
ejpam-5957	75	9	!	!	PUNCT
ejpam-5957	75	10	.	.	PUNCT
ejpam-5957	76	1	(	(	PUNCT
ejpam-5957	76	2	12	12	NUM
ejpam-5957	76	3	)	)	PUNCT
ejpam-5957	76	4	theorem	theorem	NOUN
ejpam-5957	76	5	3	3	NUM
ejpam-5957	76	6	.	.	PUNCT
ejpam-5957	77	1	[	[	X
ejpam-5957	77	2	10	10	NUM
ejpam-5957	77	3	]	]	PUNCT
ejpam-5957	77	4	let	let	VERB
ejpam-5957	77	5	a(t	a(t	NOUN
ejpam-5957	77	6	)	)	PUNCT
ejpam-5957	77	7	=	=	PUNCT
ejpam-5957	78	1	∑∞	∑∞	NOUN
ejpam-5957	78	2	n=0	n=0	PUNCT
ejpam-5957	78	3	an	an	DET
ejpam-5957	78	4	tn	tn	NOUN
ejpam-5957	78	5	n	n	CCONJ
ejpam-5957	78	6	!	!	PUNCT
ejpam-5957	78	7	and	and	CCONJ
ejpam-5957	78	8	b(t	b(t	VERB
ejpam-5957	78	9	)	)	PUNCT
ejpam-5957	78	10	=	=	PUNCT
ejpam-5957	78	11	∑∞	∑∞	NOUN
ejpam-5957	78	12	n=0	n=0	NUM
ejpam-5957	78	13	bn	bn	NUM
ejpam-5957	78	14	tn	tn	PROPN
ejpam-5957	78	15	n	n	CCONJ
ejpam-5957	78	16	!	!	PUNCT
ejpam-5957	78	17	be	be	AUX
ejpam-5957	78	18	the	the	DET
ejpam-5957	78	19	exponential	exponential	ADJ
ejpam-5957	78	20	generating	generating	NOUN
ejpam-5957	78	21	function	function	NOUN
ejpam-5957	78	22	for	for	ADP
ejpam-5957	78	23	the	the	DET
ejpam-5957	78	24	sequence	sequence	NOUN
ejpam-5957	78	25	(	(	PUNCT
ejpam-5957	78	26	an	an	NOUN
ejpam-5957	78	27	)	)	PUNCT
ejpam-5957	78	28	and	and	CCONJ
ejpam-5957	78	29	(	(	PUNCT
ejpam-5957	78	30	bn	bn	NOUN
ejpam-5957	78	31	)	)	PUNCT
ejpam-5957	78	32	,	,	PUNCT
ejpam-5957	78	33	respectively	respectively	ADV
ejpam-5957	78	34	.	.	PUNCT
ejpam-5957	79	1	then	then	ADV
ejpam-5957	79	2	a(t)b(t	a(t)b(t	X
ejpam-5957	79	3	)	)	PUNCT
ejpam-5957	79	4	is	be	AUX
ejpam-5957	79	5	given	give	VERB
ejpam-5957	79	6	by	by	ADP
ejpam-5957	79	7	(	(	PUNCT
ejpam-5957	79	8	∞∑	∞∑	PROPN
ejpam-5957	79	9	n=0	n=0	NUM
ejpam-5957	79	10	an	an	DET
ejpam-5957	79	11	tn	tn	NOUN
ejpam-5957	79	12	n	n	CCONJ
ejpam-5957	79	13	!	!	PUNCT
ejpam-5957	79	14	)	)	PUNCT
ejpam-5957	80	1	(	(	PUNCT
ejpam-5957	80	2	∞∑	∞∑	NUM
ejpam-5957	80	3	n=0	n=0	NUM
ejpam-5957	80	4	bn	bn	NUM
ejpam-5957	80	5	tn	tn	NOUN
ejpam-5957	80	6	n	n	ADV
ejpam-5957	80	7	!	!	PUNCT
ejpam-5957	80	8	)	)	PUNCT
ejpam-5957	81	1	=	=	PUNCT
ejpam-5957	82	1	∞∑	∞∑	NUM
ejpam-5957	82	2	n=0	n=0	NUM
ejpam-5957	82	3	n∑	n∑	NOUN
ejpam-5957	82	4	k=0	k=0	PROPN
ejpam-5957	82	5	(	(	PUNCT
ejpam-5957	82	6	n	n	X
ejpam-5957	82	7	k	k	PROPN
ejpam-5957	82	8	)	)	PUNCT
ejpam-5957	82	9	akbn−k	akbn−k	ADP
ejpam-5957	82	10	tn	tn	PROPN
ejpam-5957	82	11	n	n	CCONJ
ejpam-5957	82	12	!	!	PUNCT
ejpam-5957	82	13	.	.	PUNCT
ejpam-5957	83	1	(	(	PUNCT
ejpam-5957	83	2	13	13	NUM
ejpam-5957	83	3	)	)	PUNCT
ejpam-5957	83	4	theorem	theorem	NOUN
ejpam-5957	83	5	4	4	NUM
ejpam-5957	83	6	.	.	PUNCT
ejpam-5957	84	1	[	[	X
ejpam-5957	84	2	3	3	X
ejpam-5957	84	3	]	]	PUNCT
ejpam-5957	84	4	the	the	DET
ejpam-5957	84	5	stirling	stirling	NOUN
ejpam-5957	84	6	numbers	number	NOUN
ejpam-5957	84	7	of	of	ADP
ejpam-5957	84	8	the	the	DET
ejpam-5957	84	9	second	second	ADJ
ejpam-5957	84	10	kind	kind	NOUN
ejpam-5957	84	11	s(n	s(n	PROPN
ejpam-5957	84	12	,	,	PUNCT
ejpam-5957	84	13	k	k	NOUN
ejpam-5957	84	14	)	)	PUNCT
ejpam-5957	84	15	have	have	VERB
ejpam-5957	84	16	a	a	DET
ejpam-5957	84	17	vertical	vertical	ADJ
ejpam-5957	84	18	generating	generate	VERB
ejpam-5957	84	19	function	function	NOUN
ejpam-5957	84	20	given	give	VERB
ejpam-5957	84	21	by	by	ADP
ejpam-5957	84	22	:	:	PUNCT
ejpam-5957	84	23	1	1	NUM
ejpam-5957	84	24	k	k	X
ejpam-5957	84	25	!	!	PUNCT
ejpam-5957	85	1	(	(	PUNCT
ejpam-5957	85	2	et	et	X
ejpam-5957	85	3	−	−	PROPN
ejpam-5957	85	4	1)k	1)k	NUM
ejpam-5957	85	5	=	=	SYM
ejpam-5957	85	6	n∑	n∑	PROPN
ejpam-5957	85	7	k=0	k=0	PROPN
ejpam-5957	85	8	s(n	s(n	PROPN
ejpam-5957	85	9	,	,	PUNCT
ejpam-5957	85	10	k	k	NOUN
ejpam-5957	85	11	)	)	PUNCT
ejpam-5957	85	12	tn	tn	PROPN
ejpam-5957	85	13	n	n	PROPN
ejpam-5957	85	14	!	!	PUNCT
ejpam-5957	85	15	.	.	PUNCT
ejpam-5957	86	1	(	(	PUNCT
ejpam-5957	86	2	14	14	NUM
ejpam-5957	86	3	)	)	PUNCT
ejpam-5957	86	4	r.	r.	PROPN
ejpam-5957	86	5	g.	g.	PROPN
ejpam-5957	86	6	bago	bago	PROPN
ejpam-5957	86	7	,	,	PUNCT
ejpam-5957	86	8	n.	n.	PROPN
ejpam-5957	86	9	s.	s.	PROPN
ejpam-5957	86	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	86	11	/	/	SYM
ejpam-5957	86	12	eur	eur	PROPN
ejpam-5957	86	13	.	.	PUNCT
ejpam-5957	87	1	j.	j.	PROPN
ejpam-5957	87	2	pure	pure	PROPN
ejpam-5957	87	3	appl	appl	PROPN
ejpam-5957	87	4	.	.	PROPN
ejpam-5957	87	5	math	math	PROPN
ejpam-5957	87	6	,	,	PUNCT
ejpam-5957	87	7	18	18	NUM
ejpam-5957	87	8	(	(	PUNCT
ejpam-5957	87	9	2	2	NUM
ejpam-5957	87	10	)	)	PUNCT
ejpam-5957	87	11	(	(	PUNCT
ejpam-5957	87	12	2025	2025	NUM
ejpam-5957	87	13	)	)	PUNCT
ejpam-5957	87	14	,	,	PUNCT
ejpam-5957	87	15	5957	5957	NUM
ejpam-5957	87	16	5	5	NUM
ejpam-5957	87	17	of	of	ADP
ejpam-5957	87	18	25	25	NUM
ejpam-5957	87	19	definition	definition	NOUN
ejpam-5957	87	20	3	3	NUM
ejpam-5957	87	21	.	.	PUNCT
ejpam-5957	88	1	[	[	X
ejpam-5957	88	2	1	1	X
ejpam-5957	88	3	]	]	PUNCT
ejpam-5957	88	4	the	the	DET
ejpam-5957	88	5	classical	classical	ADJ
ejpam-5957	88	6	fubini	fubini	ADJ
ejpam-5957	88	7	polynomials	polynomial	NOUN
ejpam-5957	88	8	or	or	CCONJ
ejpam-5957	88	9	geometric	geometric	ADJ
ejpam-5957	88	10	polynomials	polynomial	NOUN
ejpam-5957	88	11	fn(y	fn(y	X
ejpam-5957	88	12	)	)	PUNCT
ejpam-5957	88	13	are	be	AUX
ejpam-5957	88	14	defined	define	VERB
ejpam-5957	88	15	by	by	ADP
ejpam-5957	88	16	fn(y	fn(y	PROPN
ejpam-5957	88	17	)	)	PUNCT
ejpam-5957	89	1	=	=	SYM
ejpam-5957	89	2	n∑	n∑	X
ejpam-5957	89	3	k=0	k=0	PROPN
ejpam-5957	89	4	s(n	s(n	PROPN
ejpam-5957	89	5	,	,	PUNCT
ejpam-5957	89	6	k)k!yk	k)k!yk	PROPN
ejpam-5957	89	7	,	,	PUNCT
ejpam-5957	89	8	(	(	PUNCT
ejpam-5957	89	9	15	15	NUM
ejpam-5957	89	10	)	)	PUNCT
ejpam-5957	89	11	where	where	SCONJ
ejpam-5957	89	12	s(n	s(n	PROPN
ejpam-5957	89	13	,	,	PUNCT
ejpam-5957	89	14	k	k	NOUN
ejpam-5957	89	15	)	)	PUNCT
ejpam-5957	89	16	are	be	AUX
ejpam-5957	89	17	the	the	DET
ejpam-5957	89	18	stirling	stirling	NOUN
ejpam-5957	89	19	numbers	number	NOUN
ejpam-5957	89	20	of	of	ADP
ejpam-5957	89	21	the	the	DET
ejpam-5957	89	22	second	second	ADJ
ejpam-5957	89	23	kind	kind	NOUN
ejpam-5957	89	24	.	.	PUNCT
ejpam-5957	90	1	setting	set	VERB
ejpam-5957	90	2	y	y	PROPN
ejpam-5957	90	3	=	=	SYM
ejpam-5957	90	4	1	1	NUM
ejpam-5957	90	5	,	,	PUNCT
ejpam-5957	90	6	we	we	PRON
ejpam-5957	90	7	obtain	obtain	VERB
ejpam-5957	90	8	the	the	DET
ejpam-5957	90	9	nth	nth	NOUN
ejpam-5957	90	10	fubini	fubini	ADJ
ejpam-5957	90	11	number	number	NOUN
ejpam-5957	90	12	fn	fn	NOUN
ejpam-5957	90	13	,	,	PUNCT
ejpam-5957	90	14	defined	define	VERB
ejpam-5957	90	15	by	by	ADP
ejpam-5957	90	16	fn	fn	NOUN
ejpam-5957	90	17	=	=	SYM
ejpam-5957	90	18	n∑	n∑	PROPN
ejpam-5957	90	19	k=0	k=0	PROPN
ejpam-5957	90	20	s(n	s(n	PROPN
ejpam-5957	90	21	,	,	PUNCT
ejpam-5957	90	22	k)k	k)k	ADJ
ejpam-5957	90	23	!	!	PUNCT
ejpam-5957	90	24	.	.	PUNCT
ejpam-5957	91	1	(	(	PUNCT
ejpam-5957	91	2	16	16	NUM
ejpam-5957	91	3	)	)	PUNCT
ejpam-5957	91	4	theorem	theorem	NOUN
ejpam-5957	91	5	5	5	NUM
ejpam-5957	91	6	.	.	PUNCT
ejpam-5957	92	1	[	[	X
ejpam-5957	92	2	1	1	X
ejpam-5957	92	3	]	]	PUNCT
ejpam-5957	92	4	the	the	DET
ejpam-5957	92	5	fubini	fubini	ADJ
ejpam-5957	92	6	polynomials	polynomial	NOUN
ejpam-5957	92	7	satisfy	satisfy	VERB
ejpam-5957	92	8	the	the	DET
ejpam-5957	92	9	following	follow	VERB
ejpam-5957	92	10	generating	generate	VERB
ejpam-5957	92	11	function	function	NOUN
ejpam-5957	92	12	∞∑	∞∑	PROPN
ejpam-5957	92	13	n=0	n=0	NUM
ejpam-5957	92	14	fn(y	fn(y	NUM
ejpam-5957	92	15	)	)	PUNCT
ejpam-5957	92	16	tn	tn	PROPN
ejpam-5957	92	17	n	n	PROPN
ejpam-5957	92	18	!	!	PUNCT
ejpam-5957	93	1	=	=	SYM
ejpam-5957	93	2	1	1	NUM
ejpam-5957	93	3	1−	1−	NUM
ejpam-5957	93	4	y(et	y(et	NOUN
ejpam-5957	93	5	−	−	PROPN
ejpam-5957	93	6	1	1	NUM
ejpam-5957	93	7	)	)	PUNCT
ejpam-5957	93	8	.	.	PUNCT
ejpam-5957	94	1	(	(	PUNCT
ejpam-5957	94	2	17	17	X
ejpam-5957	94	3	)	)	PUNCT
ejpam-5957	94	4	specializing	specialize	VERB
ejpam-5957	94	5	to	to	ADP
ejpam-5957	94	6	the	the	DET
ejpam-5957	94	7	case	case	NOUN
ejpam-5957	94	8	y	y	NOUN
ejpam-5957	94	9	=	=	SYM
ejpam-5957	94	10	1	1	NUM
ejpam-5957	94	11	yields	yield	VERB
ejpam-5957	94	12	∞∑	∞∑	NUM
ejpam-5957	94	13	n=0	n=0	NUM
ejpam-5957	94	14	fn	fn	PROPN
ejpam-5957	94	15	tn	tn	NOUN
ejpam-5957	94	16	n	n	NOUN
ejpam-5957	94	17	!	!	PUNCT
ejpam-5957	95	1	=	=	SYM
ejpam-5957	96	1	1	1	NUM
ejpam-5957	96	2	2−	2−	NUM
ejpam-5957	96	3	et	et	NOUN
ejpam-5957	96	4	.	.	PUNCT
ejpam-5957	97	1	(	(	PUNCT
ejpam-5957	97	2	18	18	NUM
ejpam-5957	97	3	)	)	PUNCT
ejpam-5957	97	4	definition	definition	NOUN
ejpam-5957	97	5	4	4	NUM
ejpam-5957	97	6	.	.	PUNCT
ejpam-5957	98	1	[	[	X
ejpam-5957	98	2	2	2	X
ejpam-5957	98	3	]	]	PUNCT
ejpam-5957	98	4	the	the	DET
ejpam-5957	98	5	bivariate	bivariate	ADJ
ejpam-5957	98	6	fubini	fubini	ADJ
ejpam-5957	98	7	polynomials	polynomial	NOUN
ejpam-5957	98	8	fn(x	fn(x	X
ejpam-5957	98	9	;	;	PUNCT
ejpam-5957	98	10	y	y	X
ejpam-5957	98	11	)	)	PUNCT
ejpam-5957	98	12	are	be	AUX
ejpam-5957	98	13	defined	define	VERB
ejpam-5957	98	14	by	by	ADP
ejpam-5957	98	15	the	the	DET
ejpam-5957	98	16	following	follow	VERB
ejpam-5957	98	17	generating	generate	VERB
ejpam-5957	98	18	function	function	NOUN
ejpam-5957	98	19	ext	ext	NOUN
ejpam-5957	98	20	1−	1−	NUM
ejpam-5957	98	21	y(et	y(et	NOUN
ejpam-5957	98	22	−	−	PROPN
ejpam-5957	98	23	1	1	NUM
ejpam-5957	98	24	)	)	PUNCT
ejpam-5957	98	25	=	=	NOUN
ejpam-5957	99	1	∞∑	∞∑	NUM
ejpam-5957	99	2	n=0	n=0	NUM
ejpam-5957	99	3	fn(x	fn(x	X
ejpam-5957	99	4	;	;	PUNCT
ejpam-5957	99	5	y	y	X
ejpam-5957	99	6	)	)	PUNCT
ejpam-5957	99	7	tn	tn	PROPN
ejpam-5957	99	8	n	n	PROPN
ejpam-5957	99	9	!	!	PUNCT
ejpam-5957	99	10	.	.	PUNCT
ejpam-5957	100	1	(	(	PUNCT
ejpam-5957	100	2	19	19	NUM
ejpam-5957	100	3	)	)	PUNCT
ejpam-5957	100	4	theorem	theorem	VERB
ejpam-5957	100	5	6	6	NUM
ejpam-5957	100	6	.	.	PUNCT
ejpam-5957	101	1	[	[	X
ejpam-5957	101	2	2	2	X
ejpam-5957	101	3	]	]	PUNCT
ejpam-5957	101	4	the	the	DET
ejpam-5957	101	5	bivariate	bivariate	ADJ
ejpam-5957	101	6	fubini	fubini	ADJ
ejpam-5957	101	7	polynomials	polynomial	NOUN
ejpam-5957	101	8	satisfy	satisfy	VERB
ejpam-5957	101	9	the	the	DET
ejpam-5957	101	10	following	follow	VERB
ejpam-5957	101	11	yfn(x+	yfn(x+	PROPN
ejpam-5957	101	12	1	1	NUM
ejpam-5957	101	13	,	,	PUNCT
ejpam-5957	101	14	y	y	NOUN
ejpam-5957	101	15	)	)	PUNCT
ejpam-5957	101	16	=	=	PUNCT
ejpam-5957	102	1	(	(	PUNCT
ejpam-5957	102	2	1	1	NUM
ejpam-5957	102	3	+	+	CCONJ
ejpam-5957	102	4	y)fn(x	y)fn(x	ADJ
ejpam-5957	102	5	,	,	PUNCT
ejpam-5957	102	6	y)−	y)−	PROPN
ejpam-5957	102	7	xn	xn	X
ejpam-5957	102	8	.	.	PUNCT
ejpam-5957	103	1	(	(	PUNCT
ejpam-5957	103	2	20	20	NUM
ejpam-5957	103	3	)	)	PUNCT
ejpam-5957	103	4	definition	definition	NOUN
ejpam-5957	103	5	5	5	NUM
ejpam-5957	103	6	.	.	PUNCT
ejpam-5957	104	1	[	[	X
ejpam-5957	104	2	11	11	NUM
ejpam-5957	104	3	]	]	PUNCT
ejpam-5957	104	4	the	the	DET
ejpam-5957	104	5	gould	gould	PROPN
ejpam-5957	104	6	-	-	PUNCT
ejpam-5957	104	7	hopper	hopper	NOUN
ejpam-5957	104	8	polynomials	polynomial	NOUN
ejpam-5957	104	9	h	h	NOUN
ejpam-5957	104	10	(	(	PUNCT
ejpam-5957	104	11	j	j	NOUN
ejpam-5957	104	12	)	)	PUNCT
ejpam-5957	104	13	n	n	PROPN
ejpam-5957	104	14	(	(	PUNCT
ejpam-5957	104	15	x	x	NOUN
ejpam-5957	104	16	,	,	PUNCT
ejpam-5957	104	17	y	y	NOUN
ejpam-5957	104	18	)	)	PUNCT
ejpam-5957	104	19	are	be	AUX
ejpam-5957	104	20	defined	define	VERB
ejpam-5957	104	21	by	by	ADP
ejpam-5957	104	22	the	the	DET
ejpam-5957	104	23	following	follow	VERB
ejpam-5957	104	24	generating	generate	VERB
ejpam-5957	104	25	function	function	NOUN
ejpam-5957	104	26	ext+ytj	ext+ytj	NOUN
ejpam-5957	104	27	=	=	PUNCT
ejpam-5957	105	1	∞∑	∞∑	PRON
ejpam-5957	105	2	n=0	n=0	NUM
ejpam-5957	105	3	h(j	h(j	NOUN
ejpam-5957	105	4	)	)	PUNCT
ejpam-5957	105	5	n	n	CCONJ
ejpam-5957	105	6	(	(	PUNCT
ejpam-5957	105	7	x	x	NOUN
ejpam-5957	105	8	,	,	PUNCT
ejpam-5957	105	9	y	y	PROPN
ejpam-5957	105	10	)	)	PUNCT
ejpam-5957	105	11	tn	tn	PROPN
ejpam-5957	105	12	n	n	PROPN
ejpam-5957	105	13	!	!	PUNCT
ejpam-5957	105	14	.	.	PUNCT
ejpam-5957	106	1	(	(	PUNCT
ejpam-5957	106	2	21	21	NUM
ejpam-5957	106	3	)	)	PUNCT
ejpam-5957	106	4	theorem	theorem	VERB
ejpam-5957	106	5	7	7	NUM
ejpam-5957	106	6	.	.	PUNCT
ejpam-5957	107	1	[	[	X
ejpam-5957	107	2	11	11	NUM
ejpam-5957	107	3	]	]	PUNCT
ejpam-5957	107	4	the	the	DET
ejpam-5957	107	5	gould	gould	PROPN
ejpam-5957	107	6	-	-	PUNCT
ejpam-5957	107	7	hopper	hopper	NOUN
ejpam-5957	107	8	polynomials	polynomial	NOUN
ejpam-5957	107	9	h	h	NOUN
ejpam-5957	107	10	(	(	PUNCT
ejpam-5957	107	11	j	j	NOUN
ejpam-5957	107	12	)	)	PUNCT
ejpam-5957	107	13	n	n	PROPN
ejpam-5957	107	14	(	(	PUNCT
ejpam-5957	107	15	x	x	NOUN
ejpam-5957	107	16	,	,	PUNCT
ejpam-5957	107	17	y	y	NOUN
ejpam-5957	107	18	)	)	PUNCT
ejpam-5957	107	19	satisfy	satisfy	VERB
ejpam-5957	107	20	the	the	DET
ejpam-5957	107	21	following	follow	VERB
ejpam-5957	107	22	generating	generate	VERB
ejpam-5957	107	23	function	function	NOUN
ejpam-5957	107	24	h(j	h(j	NOUN
ejpam-5957	107	25	)	)	PUNCT
ejpam-5957	107	26	n	n	CCONJ
ejpam-5957	107	27	(	(	PUNCT
ejpam-5957	107	28	x	x	NOUN
ejpam-5957	107	29	,	,	PUNCT
ejpam-5957	107	30	y	y	NOUN
ejpam-5957	107	31	)	)	PUNCT
ejpam-5957	107	32	=	=	SYM
ejpam-5957	107	33	n	n	X
ejpam-5957	107	34	!	!	PUNCT
ejpam-5957	108	1	[	[	PUNCT
ejpam-5957	108	2	n	n	X
ejpam-5957	108	3	j	j	NOUN
ejpam-5957	108	4	]	]	PUNCT
ejpam-5957	108	5	∑	∑	PUNCT
ejpam-5957	108	6	r=0	r=0	PROPN
ejpam-5957	108	7	yrxn−jr	yrxn−jr	PROPN
ejpam-5957	108	8	r!(n−	r!(n−	NOUN
ejpam-5957	108	9	jr	jr	PROPN
ejpam-5957	108	10	)	)	PUNCT
ejpam-5957	108	11	!	!	PUNCT
ejpam-5957	108	12	.	.	PUNCT
ejpam-5957	109	1	(	(	PUNCT
ejpam-5957	109	2	22	22	X
ejpam-5957	109	3	)	)	PUNCT
ejpam-5957	109	4	setting	set	VERB
ejpam-5957	109	5	j	j	NOUN
ejpam-5957	109	6	=	=	SYM
ejpam-5957	109	7	2	2	NUM
ejpam-5957	109	8	gives	give	VERB
ejpam-5957	109	9	h	h	NOUN
ejpam-5957	109	10	(	(	PUNCT
ejpam-5957	109	11	2	2	NUM
ejpam-5957	109	12	)	)	PUNCT
ejpam-5957	109	13	n	n	NOUN
ejpam-5957	109	14	(	(	PUNCT
ejpam-5957	109	15	x	x	NOUN
ejpam-5957	109	16	,	,	PUNCT
ejpam-5957	109	17	y	y	NOUN
ejpam-5957	109	18	)	)	PUNCT
ejpam-5957	109	19	=	=	SYM
ejpam-5957	109	20	hn(x	hn(x	ADP
ejpam-5957	109	21	,	,	PUNCT
ejpam-5957	109	22	y	y	PROPN
ejpam-5957	109	23	)	)	PUNCT
ejpam-5957	109	24	,	,	PUNCT
ejpam-5957	109	25	where	where	SCONJ
ejpam-5957	109	26	hn(x	hn(x	ADP
ejpam-5957	109	27	,	,	PUNCT
ejpam-5957	109	28	y	y	NOUN
ejpam-5957	109	29	)	)	PUNCT
ejpam-5957	109	30	is	be	AUX
ejpam-5957	109	31	the	the	DET
ejpam-5957	109	32	2	2	NUM
ejpam-5957	109	33	-	-	PUNCT
ejpam-5957	109	34	variable	variable	ADJ
ejpam-5957	109	35	hermite	hermite	ADJ
ejpam-5957	109	36	kamṕe	kamṕe	PROPN
ejpam-5957	109	37	de	de	PROPN
ejpam-5957	109	38	fériet	fériet	PROPN
ejpam-5957	109	39	polynomials	polynomial	NOUN
ejpam-5957	109	40	.	.	PUNCT
ejpam-5957	110	1	r.	r.	PROPN
ejpam-5957	110	2	g.	g.	PROPN
ejpam-5957	110	3	bago	bago	PROPN
ejpam-5957	110	4	,	,	PUNCT
ejpam-5957	110	5	n.	n.	PROPN
ejpam-5957	110	6	s.	s.	PROPN
ejpam-5957	110	7	abdulcarim	abdulcarim	PROPN
ejpam-5957	110	8	/	/	SYM
ejpam-5957	110	9	eur	eur	PROPN
ejpam-5957	110	10	.	.	PUNCT
ejpam-5957	111	1	j.	j.	PROPN
ejpam-5957	111	2	pure	pure	PROPN
ejpam-5957	111	3	appl	appl	PROPN
ejpam-5957	111	4	.	.	PROPN
ejpam-5957	111	5	math	math	PROPN
ejpam-5957	111	6	,	,	PUNCT
ejpam-5957	111	7	18	18	NUM
ejpam-5957	111	8	(	(	PUNCT
ejpam-5957	111	9	2	2	NUM
ejpam-5957	111	10	)	)	PUNCT
ejpam-5957	111	11	(	(	PUNCT
ejpam-5957	111	12	2025	2025	NUM
ejpam-5957	111	13	)	)	PUNCT
ejpam-5957	111	14	,	,	PUNCT
ejpam-5957	111	15	5957	5957	NUM
ejpam-5957	111	16	6	6	NUM
ejpam-5957	111	17	of	of	ADP
ejpam-5957	111	18	25	25	NUM
ejpam-5957	111	19	3	3	NUM
ejpam-5957	111	20	.	.	PUNCT
ejpam-5957	111	21	gould	gould	PROPN
ejpam-5957	111	22	-	-	PUNCT
ejpam-5957	111	23	hopper	hopper	NOUN
ejpam-5957	111	24	-	-	PUNCT
ejpam-5957	111	25	based	base	VERB
ejpam-5957	111	26	bivariate	bivariate	ADJ
ejpam-5957	111	27	fubini	fubini	ADJ
ejpam-5957	111	28	polynomials	polynomial	NOUN
ejpam-5957	111	29	definition	definition	NOUN
ejpam-5957	111	30	6	6	NUM
ejpam-5957	111	31	.	.	PUNCT
ejpam-5957	112	1	let	let	VERB
ejpam-5957	112	2	j	j	PROPN
ejpam-5957	112	3	∈	∈	PROPN
ejpam-5957	112	4	n	n	CCONJ
ejpam-5957	112	5	,	,	PUNCT
ejpam-5957	112	6	j	j	PROPN
ejpam-5957	112	7	≥	≥	NUM
ejpam-5957	112	8	2	2	NUM
ejpam-5957	112	9	.	.	PUNCT
ejpam-5957	113	1	the	the	DET
ejpam-5957	113	2	gould	gould	PROPN
ejpam-5957	113	3	-	-	PUNCT
ejpam-5957	113	4	hopper	hopper	NOUN
ejpam-5957	113	5	-	-	PUNCT
ejpam-5957	113	6	based	base	VERB
ejpam-5957	113	7	bivariate	bivariate	ADJ
ejpam-5957	113	8	fubini	fubini	ADJ
ejpam-5957	113	9	polynomials	polynomial	NOUN
ejpam-5957	113	10	,	,	PUNCT
ejpam-5957	113	11	denoted	denote	VERB
ejpam-5957	113	12	by	by	ADP
ejpam-5957	113	13	hf	hf	PROPN
ejpam-5957	113	14	(	(	PUNCT
ejpam-5957	113	15	j	j	NOUN
ejpam-5957	113	16	)	)	PUNCT
ejpam-5957	113	17	n	n	PROPN
ejpam-5957	113	18	(	(	PUNCT
ejpam-5957	113	19	x	x	X
ejpam-5957	113	20	,	,	PUNCT
ejpam-5957	113	21	y	y	PROPN
ejpam-5957	113	22	;	;	PUNCT
ejpam-5957	113	23	z	z	X
ejpam-5957	113	24	)	)	PUNCT
ejpam-5957	113	25	,	,	PUNCT
ejpam-5957	113	26	are	be	AUX
ejpam-5957	113	27	defined	define	VERB
ejpam-5957	113	28	by	by	ADP
ejpam-5957	113	29	the	the	DET
ejpam-5957	113	30	following	follow	VERB
ejpam-5957	113	31	generating	generate	VERB
ejpam-5957	113	32	function	function	NOUN
ejpam-5957	113	33	∞∑	∞∑	PROPN
ejpam-5957	113	34	n=0	n=0	NUM
ejpam-5957	113	35	hf	hf	NOUN
ejpam-5957	113	36	(	(	PUNCT
ejpam-5957	113	37	j	j	NOUN
ejpam-5957	113	38	)	)	PUNCT
ejpam-5957	113	39	n	n	PROPN
ejpam-5957	113	40	(	(	PUNCT
ejpam-5957	113	41	x	x	X
ejpam-5957	113	42	,	,	PUNCT
ejpam-5957	113	43	y	y	PROPN
ejpam-5957	113	44	;	;	PUNCT
ejpam-5957	113	45	z	z	X
ejpam-5957	113	46	)	)	PUNCT
ejpam-5957	113	47	tn	tn	PROPN
ejpam-5957	113	48	n	n	NOUN
ejpam-5957	113	49	!	!	PUNCT
ejpam-5957	114	1	=	=	PUNCT
ejpam-5957	115	1	ext+ztj	ext+ztj	ADJ
ejpam-5957	115	2	1−	1−	NUM
ejpam-5957	115	3	y(et	y(et	NOUN
ejpam-5957	115	4	−	−	PROPN
ejpam-5957	115	5	1	1	NUM
ejpam-5957	115	6	)	)	PUNCT
ejpam-5957	115	7	,	,	PUNCT
ejpam-5957	115	8	(	(	PUNCT
ejpam-5957	115	9	23	23	NUM
ejpam-5957	115	10	)	)	PUNCT
ejpam-5957	115	11	where	where	SCONJ
ejpam-5957	115	12	|t|	|t|	ADP
ejpam-5957	115	13	<	<	X
ejpam-5957	115	14	2π	2π	NOUN
ejpam-5957	115	15	,	,	PUNCT
ejpam-5957	115	16	if	if	SCONJ
ejpam-5957	115	17	y	y	PROPN
ejpam-5957	115	18	y+1	y+1	NOUN
ejpam-5957	116	1	=	=	SYM
ejpam-5957	116	2	1	1	NUM
ejpam-5957	116	3	,	,	PUNCT
ejpam-5957	116	4	and	and	CCONJ
ejpam-5957	116	5	|t|	|t|	VERB
ejpam-5957	116	6	<	<	X
ejpam-5957	116	7	∣∣∣ln	∣∣∣ln	PROPN
ejpam-5957	116	8	(	(	PUNCT
ejpam-5957	116	9	y	y	NOUN
ejpam-5957	116	10	y+1	y+1	PROPN
ejpam-5957	116	11	)	)	PUNCT
ejpam-5957	116	12	∣∣∣	∣∣∣	ADJ
ejpam-5957	116	13	,	,	PUNCT
ejpam-5957	116	14	if	if	SCONJ
ejpam-5957	116	15	y	y	PROPN
ejpam-5957	116	16	y+1	y+1	PROPN
ejpam-5957	116	17	̸=	̸=	PROPN
ejpam-5957	116	18	1	1	NUM
ejpam-5957	116	19	.	.	PUNCT
ejpam-5957	116	20	observe	observe	VERB
ejpam-5957	116	21	that	that	SCONJ
ejpam-5957	116	22	when	when	SCONJ
ejpam-5957	116	23	j	j	PROPN
ejpam-5957	116	24	=	=	SYM
ejpam-5957	116	25	2	2	NUM
ejpam-5957	116	26	,	,	PUNCT
ejpam-5957	116	27	∞∑	∞∑	PRON
ejpam-5957	116	28	n=0	n=0	NUM
ejpam-5957	116	29	hf	hf	NOUN
ejpam-5957	116	30	(	(	PUNCT
ejpam-5957	116	31	2	2	NUM
ejpam-5957	116	32	)	)	PUNCT
ejpam-5957	116	33	n	n	NOUN
ejpam-5957	116	34	(	(	PUNCT
ejpam-5957	116	35	x	x	X
ejpam-5957	116	36	,	,	PUNCT
ejpam-5957	116	37	y	y	PROPN
ejpam-5957	116	38	;	;	PUNCT
ejpam-5957	116	39	z	z	X
ejpam-5957	116	40	)	)	PUNCT
ejpam-5957	116	41	tn	tn	PROPN
ejpam-5957	116	42	n	n	PROPN
ejpam-5957	116	43	!	!	PUNCT
ejpam-5957	117	1	=	=	PUNCT
ejpam-5957	117	2	ext+zt2	ext+zt2	X
ejpam-5957	117	3	1−	1−	NUM
ejpam-5957	117	4	y(et	y(et	NOUN
ejpam-5957	117	5	−	−	PROPN
ejpam-5957	117	6	1	1	NUM
ejpam-5957	117	7	)	)	PUNCT
ejpam-5957	117	8	=	=	NOUN
ejpam-5957	118	1	∞∑	∞∑	PRON
ejpam-5957	118	2	n=0	n=0	NUM
ejpam-5957	118	3	hfn(x	hfn(x	PROPN
ejpam-5957	118	4	,	,	PUNCT
ejpam-5957	118	5	y	y	PROPN
ejpam-5957	118	6	;	;	PUNCT
ejpam-5957	118	7	z	z	X
ejpam-5957	118	8	)	)	PUNCT
ejpam-5957	118	9	tn	tn	PROPN
ejpam-5957	118	10	n	n	CCONJ
ejpam-5957	118	11	!	!	PROPN
ejpam-5957	118	12	,	,	PUNCT
ejpam-5957	118	13	(	(	PUNCT
ejpam-5957	118	14	24	24	NUM
ejpam-5957	118	15	)	)	PUNCT
ejpam-5957	118	16	which	which	PRON
ejpam-5957	118	17	are	be	AUX
ejpam-5957	118	18	the	the	DET
ejpam-5957	118	19	3	3	NUM
ejpam-5957	118	20	-	-	PUNCT
ejpam-5957	118	21	variable	variable	ADJ
ejpam-5957	118	22	hermite	hermite	ADJ
ejpam-5957	118	23	-	-	PUNCT
ejpam-5957	118	24	fubini	fubini	ADJ
ejpam-5957	118	25	polynomials	polynomial	NOUN
ejpam-5957	118	26	.	.	PUNCT
ejpam-5957	119	1	furthermore	furthermore	ADV
ejpam-5957	119	2	,	,	PUNCT
ejpam-5957	119	3	when	when	SCONJ
ejpam-5957	119	4	z	z	NOUN
ejpam-5957	119	5	=	=	SYM
ejpam-5957	119	6	0	0	NUM
ejpam-5957	119	7	,	,	PUNCT
ejpam-5957	119	8	∞∑	∞∑	DET
ejpam-5957	119	9	n=0	n=0	NUM
ejpam-5957	119	10	hf	hf	NOUN
ejpam-5957	119	11	(	(	PUNCT
ejpam-5957	119	12	j	j	NOUN
ejpam-5957	119	13	)	)	PUNCT
ejpam-5957	119	14	n	n	PROPN
ejpam-5957	119	15	(	(	PUNCT
ejpam-5957	119	16	x	x	X
ejpam-5957	119	17	,	,	PUNCT
ejpam-5957	119	18	y	y	PROPN
ejpam-5957	119	19	;	;	PUNCT
ejpam-5957	119	20	0	0	NUM
ejpam-5957	119	21	)	)	PUNCT
ejpam-5957	119	22	tn	tn	NOUN
ejpam-5957	119	23	n	n	ADV
ejpam-5957	119	24	!	!	PUNCT
ejpam-5957	119	25	=	=	NOUN
ejpam-5957	119	26	ext	ext	NOUN
ejpam-5957	119	27	1−	1−	NUM
ejpam-5957	119	28	y(et	y(et	NOUN
ejpam-5957	119	29	−	−	PROPN
ejpam-5957	119	30	1	1	NUM
ejpam-5957	119	31	)	)	PUNCT
ejpam-5957	119	32	=	=	NOUN
ejpam-5957	120	1	∞∑	∞∑	NUM
ejpam-5957	120	2	n=0	n=0	NUM
ejpam-5957	120	3	fn(x	fn(x	X
ejpam-5957	120	4	,	,	PUNCT
ejpam-5957	120	5	y	y	NOUN
ejpam-5957	120	6	)	)	PUNCT
ejpam-5957	120	7	tn	tn	PROPN
ejpam-5957	120	8	n	n	PROPN
ejpam-5957	120	9	!	!	PROPN
ejpam-5957	120	10	,	,	PUNCT
ejpam-5957	120	11	(	(	PUNCT
ejpam-5957	120	12	25	25	NUM
ejpam-5957	120	13	)	)	PUNCT
ejpam-5957	120	14	which	which	PRON
ejpam-5957	120	15	are	be	AUX
ejpam-5957	120	16	the	the	DET
ejpam-5957	120	17	bivariate	bivariate	ADJ
ejpam-5957	120	18	fubini	fubini	ADJ
ejpam-5957	120	19	polynomials	polynomial	NOUN
ejpam-5957	120	20	.	.	PUNCT
ejpam-5957	121	1	when	when	SCONJ
ejpam-5957	121	2	x	x	X
ejpam-5957	121	3	=	=	PUNCT
ejpam-5957	121	4	z	z	NOUN
ejpam-5957	121	5	=	=	SYM
ejpam-5957	121	6	0	0	NUM
ejpam-5957	121	7	,	,	PUNCT
ejpam-5957	121	8	∞∑	∞∑	PRON
ejpam-5957	121	9	n=0	n=0	NUM
ejpam-5957	121	10	hf	hf	NOUN
ejpam-5957	121	11	(	(	PUNCT
ejpam-5957	121	12	j	j	NOUN
ejpam-5957	121	13	)	)	PUNCT
ejpam-5957	121	14	n	n	CCONJ
ejpam-5957	121	15	(	(	PUNCT
ejpam-5957	121	16	0	0	NUM
ejpam-5957	121	17	,	,	PUNCT
ejpam-5957	121	18	y	y	NOUN
ejpam-5957	121	19	;	;	PUNCT
ejpam-5957	121	20	0	0	NUM
ejpam-5957	121	21	)	)	PUNCT
ejpam-5957	121	22	tn	tn	NOUN
ejpam-5957	121	23	n	n	NOUN
ejpam-5957	121	24	!	!	PUNCT
ejpam-5957	122	1	=	=	SYM
ejpam-5957	122	2	1	1	NUM
ejpam-5957	122	3	1−	1−	NUM
ejpam-5957	122	4	y(et	y(et	NOUN
ejpam-5957	122	5	−	−	PROPN
ejpam-5957	122	6	1	1	NUM
ejpam-5957	122	7	)	)	PUNCT
ejpam-5957	122	8	=	=	NOUN
ejpam-5957	123	1	∞∑	∞∑	PRON
ejpam-5957	123	2	n=0	n=0	NUM
ejpam-5957	123	3	fn(y	fn(y	NUM
ejpam-5957	123	4	)	)	PUNCT
ejpam-5957	123	5	tn	tn	PROPN
ejpam-5957	123	6	n	n	PROPN
ejpam-5957	123	7	!	!	PROPN
ejpam-5957	123	8	,	,	PUNCT
ejpam-5957	123	9	(	(	PUNCT
ejpam-5957	123	10	26	26	NUM
ejpam-5957	123	11	)	)	PUNCT
ejpam-5957	123	12	which	which	PRON
ejpam-5957	123	13	are	be	AUX
ejpam-5957	123	14	the	the	DET
ejpam-5957	123	15	classical	classical	ADJ
ejpam-5957	123	16	fubini	fubini	ADJ
ejpam-5957	123	17	polynomials	polynomial	NOUN
ejpam-5957	123	18	.	.	PUNCT
ejpam-5957	124	1	and	and	CCONJ
ejpam-5957	124	2	when	when	SCONJ
ejpam-5957	124	3	x	x	X
ejpam-5957	124	4	=	=	PUNCT
ejpam-5957	124	5	z	z	NOUN
ejpam-5957	124	6	=	=	SYM
ejpam-5957	124	7	0	0	NUM
ejpam-5957	124	8	,	,	PUNCT
ejpam-5957	124	9	y	y	NOUN
ejpam-5957	124	10	=	=	SYM
ejpam-5957	124	11	1	1	NUM
ejpam-5957	124	12	,	,	PUNCT
ejpam-5957	124	13	hf	hf	X
ejpam-5957	124	14	(	(	PUNCT
ejpam-5957	124	15	j	j	NOUN
ejpam-5957	124	16	)	)	PUNCT
ejpam-5957	124	17	n	n	CCONJ
ejpam-5957	124	18	(	(	PUNCT
ejpam-5957	124	19	0	0	NUM
ejpam-5957	124	20	,	,	PUNCT
ejpam-5957	124	21	1	1	NUM
ejpam-5957	124	22	;	;	PUNCT
ejpam-5957	124	23	0	0	NUM
ejpam-5957	124	24	)	)	PUNCT
ejpam-5957	124	25	=	=	SYM
ejpam-5957	124	26	1	1	NUM
ejpam-5957	124	27	2−	2−	NUM
ejpam-5957	124	28	et	et	NOUN
ejpam-5957	124	29	=	=	NOUN
ejpam-5957	125	1	∞∑	∞∑	PROPN
ejpam-5957	125	2	n=0	n=0	NUM
ejpam-5957	125	3	fn	fn	NOUN
ejpam-5957	125	4	tn	tn	NOUN
ejpam-5957	125	5	n	n	CCONJ
ejpam-5957	125	6	!	!	PROPN
ejpam-5957	125	7	,	,	PUNCT
ejpam-5957	125	8	which	which	PRON
ejpam-5957	125	9	is	be	AUX
ejpam-5957	125	10	the	the	DET
ejpam-5957	125	11	nth	nth	NOUN
ejpam-5957	125	12	fubini	fubini	ADJ
ejpam-5957	125	13	number	number	NOUN
ejpam-5957	125	14	.	.	PUNCT
ejpam-5957	126	1	theorem	theorem	VERB
ejpam-5957	126	2	8	8	NUM
ejpam-5957	126	3	.	.	PUNCT
ejpam-5957	126	4	for	for	ADP
ejpam-5957	126	5	n	n	PRON
ejpam-5957	126	6	≥	≥	NOUN
ejpam-5957	126	7	0	0	NUM
ejpam-5957	126	8	,	,	PUNCT
ejpam-5957	126	9	hf	hf	X
ejpam-5957	126	10	(	(	PUNCT
ejpam-5957	126	11	j	j	NOUN
ejpam-5957	126	12	)	)	PUNCT
ejpam-5957	126	13	n	n	CCONJ
ejpam-5957	126	14	(	(	PUNCT
ejpam-5957	126	15	x+	x+	PROPN
ejpam-5957	126	16	u	u	NOUN
ejpam-5957	126	17	,	,	PUNCT
ejpam-5957	126	18	y	y	PROPN
ejpam-5957	126	19	;	;	PUNCT
ejpam-5957	126	20	z	z	X
ejpam-5957	126	21	+	+	CCONJ
ejpam-5957	126	22	v	v	NOUN
ejpam-5957	126	23	)	)	PUNCT
ejpam-5957	127	1	=	=	SYM
ejpam-5957	127	2	n∑	n∑	NOUN
ejpam-5957	128	1	r=0	r=0	PROPN
ejpam-5957	128	2	(	(	PUNCT
ejpam-5957	128	3	n	n	NOUN
ejpam-5957	128	4	r	r	NOUN
ejpam-5957	128	5	)	)	PUNCT
ejpam-5957	128	6	hf	hf	NOUN
ejpam-5957	128	7	(	(	PUNCT
ejpam-5957	128	8	j	j	NOUN
ejpam-5957	128	9	)	)	PUNCT
ejpam-5957	128	10	n−r(x	n−r(x	PROPN
ejpam-5957	128	11	,	,	PUNCT
ejpam-5957	128	12	y	y	PROPN
ejpam-5957	128	13	;	;	PUNCT
ejpam-5957	128	14	z)h	z)h	X
ejpam-5957	128	15	(	(	PUNCT
ejpam-5957	128	16	j	j	NOUN
ejpam-5957	128	17	)	)	PUNCT
ejpam-5957	128	18	r	r	NOUN
ejpam-5957	128	19	(	(	PUNCT
ejpam-5957	128	20	u	u	NOUN
ejpam-5957	128	21	,	,	PUNCT
ejpam-5957	128	22	v	v	NOUN
ejpam-5957	128	23	)	)	PUNCT
ejpam-5957	128	24	.	.	PUNCT
ejpam-5957	129	1	(	(	PUNCT
ejpam-5957	129	2	27	27	NUM
ejpam-5957	129	3	)	)	PUNCT
ejpam-5957	129	4	proof	proof	NOUN
ejpam-5957	129	5	.	.	PUNCT
ejpam-5957	130	1	by	by	ADP
ejpam-5957	130	2	definition	definition	NOUN
ejpam-5957	130	3	6	6	NUM
ejpam-5957	130	4	,	,	PUNCT
ejpam-5957	130	5	∞∑	∞∑	PRON
ejpam-5957	130	6	n=0	n=0	NUM
ejpam-5957	130	7	hf	hf	NOUN
ejpam-5957	130	8	(	(	PUNCT
ejpam-5957	130	9	j	j	NOUN
ejpam-5957	130	10	)	)	PUNCT
ejpam-5957	130	11	n	n	CCONJ
ejpam-5957	130	12	(	(	PUNCT
ejpam-5957	130	13	x+	x+	PROPN
ejpam-5957	130	14	u	u	NOUN
ejpam-5957	130	15	,	,	PUNCT
ejpam-5957	130	16	y	y	PROPN
ejpam-5957	130	17	;	;	PUNCT
ejpam-5957	130	18	z	z	PROPN
ejpam-5957	130	19	+	+	CCONJ
ejpam-5957	130	20	v	v	NOUN
ejpam-5957	130	21	)	)	PUNCT
ejpam-5957	130	22	tn	tn	NOUN
ejpam-5957	130	23	n	n	NOUN
ejpam-5957	130	24	!	!	PUNCT
ejpam-5957	130	25	=	=	PRON
ejpam-5957	130	26	e(x+u)t+(z+v)tj	e(x+u)t+(z+v)tj	PROPN
ejpam-5957	130	27	1−	1−	NUM
ejpam-5957	130	28	y(et	y(et	NOUN
ejpam-5957	130	29	−	−	PROPN
ejpam-5957	130	30	1	1	NUM
ejpam-5957	130	31	)	)	PUNCT
ejpam-5957	130	32	=	=	SYM
ejpam-5957	130	33	ext+ztj	ext+ztj	ADJ
ejpam-5957	130	34	1−	1−	NUM
ejpam-5957	130	35	y(et	y(et	NOUN
ejpam-5957	130	36	−	−	PROPN
ejpam-5957	130	37	1	1	NUM
ejpam-5957	130	38	)	)	PUNCT
ejpam-5957	130	39	·	·	PUNCT
ejpam-5957	130	40	eut+vtj	eut+vtj	NOUN
ejpam-5957	130	41	.	.	PUNCT
ejpam-5957	131	1	then	then	ADV
ejpam-5957	131	2	again	again	ADV
ejpam-5957	131	3	by	by	ADP
ejpam-5957	131	4	applying	apply	VERB
ejpam-5957	131	5	definition	definition	NOUN
ejpam-5957	131	6	6	6	NUM
ejpam-5957	131	7	and	and	CCONJ
ejpam-5957	131	8	definition	definition	NOUN
ejpam-5957	131	9	5	5	NUM
ejpam-5957	131	10	to	to	ADP
ejpam-5957	131	11	the	the	DET
ejpam-5957	131	12	right	right	ADJ
ejpam-5957	131	13	-	-	PUNCT
ejpam-5957	131	14	hand	hand	NOUN
ejpam-5957	131	15	side	side	NOUN
ejpam-5957	131	16	of	of	ADP
ejpam-5957	131	17	the	the	DET
ejpam-5957	131	18	above	above	ADJ
ejpam-5957	131	19	equation	equation	NOUN
ejpam-5957	131	20	,	,	PUNCT
ejpam-5957	131	21	we	we	PRON
ejpam-5957	131	22	have	have	VERB
ejpam-5957	131	23	r.	r.	PROPN
ejpam-5957	131	24	g.	g.	PROPN
ejpam-5957	131	25	bago	bago	PROPN
ejpam-5957	131	26	,	,	PUNCT
ejpam-5957	131	27	n.	n.	PROPN
ejpam-5957	131	28	s.	s.	PROPN
ejpam-5957	131	29	abdulcarim	abdulcarim	PROPN
ejpam-5957	131	30	/	/	SYM
ejpam-5957	131	31	eur	eur	PROPN
ejpam-5957	131	32	.	.	PUNCT
ejpam-5957	132	1	j.	j.	PROPN
ejpam-5957	132	2	pure	pure	PROPN
ejpam-5957	132	3	appl	appl	PROPN
ejpam-5957	132	4	.	.	PROPN
ejpam-5957	132	5	math	math	PROPN
ejpam-5957	132	6	,	,	PUNCT
ejpam-5957	132	7	18	18	NUM
ejpam-5957	132	8	(	(	PUNCT
ejpam-5957	132	9	2	2	NUM
ejpam-5957	132	10	)	)	PUNCT
ejpam-5957	132	11	(	(	PUNCT
ejpam-5957	132	12	2025	2025	NUM
ejpam-5957	132	13	)	)	PUNCT
ejpam-5957	132	14	,	,	PUNCT
ejpam-5957	132	15	5957	5957	NUM
ejpam-5957	132	16	7	7	NUM
ejpam-5957	132	17	of	of	ADP
ejpam-5957	132	18	25	25	NUM
ejpam-5957	132	19	∞∑	∞∑	NUM
ejpam-5957	132	20	n=0	n=0	NUM
ejpam-5957	132	21	hf	hf	NOUN
ejpam-5957	132	22	(	(	PUNCT
ejpam-5957	132	23	j	j	NOUN
ejpam-5957	132	24	)	)	PUNCT
ejpam-5957	132	25	n	n	CCONJ
ejpam-5957	132	26	(	(	PUNCT
ejpam-5957	132	27	x+	x+	PROPN
ejpam-5957	132	28	u	u	NOUN
ejpam-5957	132	29	,	,	PUNCT
ejpam-5957	132	30	y	y	PROPN
ejpam-5957	132	31	;	;	PUNCT
ejpam-5957	132	32	z	z	PROPN
ejpam-5957	132	33	+	+	CCONJ
ejpam-5957	132	34	v	v	NOUN
ejpam-5957	132	35	)	)	PUNCT
ejpam-5957	132	36	tn	tn	NOUN
ejpam-5957	132	37	n	n	NOUN
ejpam-5957	132	38	!	!	PUNCT
ejpam-5957	132	39	=	=	NOUN
ejpam-5957	133	1	∞∑	∞∑	DET
ejpam-5957	133	2	n=0	n=0	NUM
ejpam-5957	133	3	hf	hf	NOUN
ejpam-5957	133	4	(	(	PUNCT
ejpam-5957	133	5	j	j	NOUN
ejpam-5957	133	6	)	)	PUNCT
ejpam-5957	133	7	n	n	PROPN
ejpam-5957	133	8	(	(	PUNCT
ejpam-5957	133	9	x	x	X
ejpam-5957	133	10	,	,	PUNCT
ejpam-5957	133	11	y	y	PROPN
ejpam-5957	133	12	;	;	PUNCT
ejpam-5957	133	13	z	z	X
ejpam-5957	133	14	)	)	PUNCT
ejpam-5957	133	15	tn	tn	PROPN
ejpam-5957	133	16	n	n	CCONJ
ejpam-5957	133	17	!	!	PUNCT
ejpam-5957	133	18	·	·	PUNCT
ejpam-5957	134	1	∞∑	∞∑	NUM
ejpam-5957	134	2	r=0	r=0	NUM
ejpam-5957	134	3	h(j	h(j	NOUN
ejpam-5957	134	4	)	)	PUNCT
ejpam-5957	134	5	r	r	NOUN
ejpam-5957	134	6	(	(	PUNCT
ejpam-5957	134	7	u	u	NOUN
ejpam-5957	134	8	,	,	PUNCT
ejpam-5957	134	9	v	v	NOUN
ejpam-5957	134	10	)	)	PUNCT
ejpam-5957	134	11	tr	tr	NOUN
ejpam-5957	134	12	r	r	NOUN
ejpam-5957	134	13	!	!	PUNCT
ejpam-5957	134	14	.	.	PUNCT
ejpam-5957	135	1	(	(	PUNCT
ejpam-5957	135	2	28	28	NUM
ejpam-5957	135	3	)	)	PUNCT
ejpam-5957	135	4	moreover	moreover	ADV
ejpam-5957	135	5	,	,	PUNCT
ejpam-5957	135	6	applying	apply	VERB
ejpam-5957	135	7	theorem	theorem	NOUN
ejpam-5957	135	8	3	3	NUM
ejpam-5957	135	9	to	to	ADP
ejpam-5957	135	10	the	the	DET
ejpam-5957	135	11	right	right	ADJ
ejpam-5957	135	12	-	-	PUNCT
ejpam-5957	135	13	hand	hand	NOUN
ejpam-5957	135	14	side	side	NOUN
ejpam-5957	135	15	of	of	ADP
ejpam-5957	135	16	equation	equation	NOUN
ejpam-5957	135	17	(	(	PUNCT
ejpam-5957	135	18	28	28	NUM
ejpam-5957	135	19	)	)	PUNCT
ejpam-5957	135	20	we	we	PRON
ejpam-5957	135	21	get	get	VERB
ejpam-5957	135	22	∞∑	∞∑	NUM
ejpam-5957	135	23	n=0	n=0	NUM
ejpam-5957	135	24	hf	hf	NOUN
ejpam-5957	135	25	(	(	PUNCT
ejpam-5957	135	26	j	j	NOUN
ejpam-5957	135	27	)	)	PUNCT
ejpam-5957	135	28	n	n	CCONJ
ejpam-5957	135	29	(	(	PUNCT
ejpam-5957	135	30	x+	x+	PROPN
ejpam-5957	135	31	u	u	NOUN
ejpam-5957	135	32	,	,	PUNCT
ejpam-5957	135	33	y	y	PROPN
ejpam-5957	135	34	;	;	PUNCT
ejpam-5957	135	35	z	z	PROPN
ejpam-5957	135	36	+	+	CCONJ
ejpam-5957	135	37	v	v	NOUN
ejpam-5957	135	38	)	)	PUNCT
ejpam-5957	135	39	tn	tn	NOUN
ejpam-5957	135	40	n	n	NOUN
ejpam-5957	135	41	!	!	PUNCT
ejpam-5957	136	1	=	=	NOUN
ejpam-5957	137	1	∞∑	∞∑	PRON
ejpam-5957	137	2	n=0	n=0	NUM
ejpam-5957	137	3	(	(	PUNCT
ejpam-5957	137	4	n∑	n∑	ADV
ejpam-5957	137	5	r=0	r=0	PROPN
ejpam-5957	137	6	(	(	PUNCT
ejpam-5957	137	7	n	n	NOUN
ejpam-5957	137	8	r	r	NOUN
ejpam-5957	137	9	)	)	PUNCT
ejpam-5957	137	10	hf	hf	NOUN
ejpam-5957	137	11	(	(	PUNCT
ejpam-5957	137	12	j	j	NOUN
ejpam-5957	137	13	)	)	PUNCT
ejpam-5957	137	14	n−r(x	n−r(x	PROPN
ejpam-5957	137	15	,	,	PUNCT
ejpam-5957	137	16	y	y	PROPN
ejpam-5957	137	17	;	;	PUNCT
ejpam-5957	137	18	z)h	z)h	X
ejpam-5957	137	19	(	(	PUNCT
ejpam-5957	137	20	j	j	NOUN
ejpam-5957	137	21	)	)	PUNCT
ejpam-5957	137	22	r	r	NOUN
ejpam-5957	137	23	(	(	PUNCT
ejpam-5957	137	24	u	u	NOUN
ejpam-5957	137	25	,	,	PUNCT
ejpam-5957	137	26	v	v	NOUN
ejpam-5957	137	27	)	)	PUNCT
ejpam-5957	137	28	)	)	PUNCT
ejpam-5957	137	29	tn	tn	PROPN
ejpam-5957	137	30	n	n	PROPN
ejpam-5957	137	31	!	!	PUNCT
ejpam-5957	137	32	.	.	PUNCT
ejpam-5957	138	1	(	(	PUNCT
ejpam-5957	138	2	29	29	NUM
ejpam-5957	138	3	)	)	PUNCT
ejpam-5957	138	4	comparing	compare	VERB
ejpam-5957	138	5	the	the	DET
ejpam-5957	138	6	coefficients	coefficient	NOUN
ejpam-5957	138	7	of	of	ADP
ejpam-5957	138	8	tn	tn	NOUN
ejpam-5957	138	9	n	n	X
ejpam-5957	138	10	!	!	PUNCT
ejpam-5957	138	11	yield	yield	NOUN
ejpam-5957	138	12	(	(	PUNCT
ejpam-5957	138	13	27	27	NUM
ejpam-5957	138	14	)	)	PUNCT
ejpam-5957	138	15	.	.	PUNCT
ejpam-5957	139	1	remark	remark	PROPN
ejpam-5957	139	2	2	2	NUM
ejpam-5957	139	3	.	.	PUNCT
ejpam-5957	140	1	setting	set	VERB
ejpam-5957	140	2	j	j	PROPN
ejpam-5957	140	3	=	=	SYM
ejpam-5957	140	4	2	2	NUM
ejpam-5957	140	5	in	in	ADP
ejpam-5957	140	6	theorem	theorem	NOUN
ejpam-5957	140	7	8	8	NUM
ejpam-5957	140	8	,	,	PUNCT
ejpam-5957	140	9	the	the	DET
ejpam-5957	140	10	following	follow	VERB
ejpam-5957	140	11	formula	formula	NOUN
ejpam-5957	140	12	involving	involve	VERB
ejpam-5957	140	13	hermite	hermite	ADJ
ejpam-5957	140	14	-	-	PUNCT
ejpam-5957	140	15	fubini	fubini	ADJ
ejpam-5957	140	16	polynomials	polynomial	NOUN
ejpam-5957	140	17	holds	hold	VERB
ejpam-5957	140	18	:	:	PUNCT
ejpam-5957	140	19	hfn(x+	hfn(x+	NOUN
ejpam-5957	140	20	u	u	NOUN
ejpam-5957	140	21	,	,	PUNCT
ejpam-5957	140	22	y	y	PROPN
ejpam-5957	140	23	;	;	PUNCT
ejpam-5957	140	24	z	z	X
ejpam-5957	140	25	+	+	CCONJ
ejpam-5957	140	26	v	v	NOUN
ejpam-5957	140	27	)	)	PUNCT
ejpam-5957	140	28	=	=	SYM
ejpam-5957	141	1	n∑	n∑	NOUN
ejpam-5957	141	2	r=0	r=0	PROPN
ejpam-5957	141	3	(	(	PUNCT
ejpam-5957	141	4	n	n	NOUN
ejpam-5957	141	5	r	r	NOUN
ejpam-5957	141	6	)	)	PUNCT
ejpam-5957	142	1	hfn−r(x	hfn−r(x	PROPN
ejpam-5957	142	2	,	,	PUNCT
ejpam-5957	142	3	y	y	PROPN
ejpam-5957	142	4	;	;	PUNCT
ejpam-5957	142	5	z)hr(u	z)hr(u	NUM
ejpam-5957	142	6	,	,	PUNCT
ejpam-5957	142	7	v	v	NOUN
ejpam-5957	142	8	)	)	PUNCT
ejpam-5957	142	9	.	.	PUNCT
ejpam-5957	143	1	setting	set	VERB
ejpam-5957	143	2	z	z	NOUN
ejpam-5957	143	3	=	=	SYM
ejpam-5957	143	4	0	0	NUM
ejpam-5957	143	5	in	in	ADP
ejpam-5957	143	6	theorem	theorem	NOUN
ejpam-5957	143	7	8	8	NUM
ejpam-5957	143	8	,	,	PUNCT
ejpam-5957	143	9	a	a	DET
ejpam-5957	143	10	relation	relation	NOUN
ejpam-5957	143	11	between	between	ADP
ejpam-5957	143	12	the	the	DET
ejpam-5957	143	13	gould	gould	PROPN
ejpam-5957	143	14	-	-	PUNCT
ejpam-5957	143	15	hopper	hopper	NOUN
ejpam-5957	143	16	-	-	PUNCT
ejpam-5957	143	17	based	base	VERB
ejpam-5957	143	18	bivariate	bivariate	ADJ
ejpam-5957	143	19	fubini	fubini	ADJ
ejpam-5957	143	20	polynomials	polynomial	NOUN
ejpam-5957	143	21	,	,	PUNCT
ejpam-5957	143	22	bivariate	bivariate	ADJ
ejpam-5957	143	23	fubini	fubini	ADJ
ejpam-5957	143	24	polynomials	polynomial	NOUN
ejpam-5957	143	25	and	and	CCONJ
ejpam-5957	143	26	gould	gould	PROPN
ejpam-5957	143	27	-	-	PUNCT
ejpam-5957	143	28	hopper	hopper	NOUN
ejpam-5957	143	29	polynomials	polynomial	NOUN
ejpam-5957	143	30	were	be	AUX
ejpam-5957	143	31	established	establish	VERB
ejpam-5957	143	32	in	in	ADP
ejpam-5957	143	33	the	the	DET
ejpam-5957	143	34	following	follow	VERB
ejpam-5957	143	35	corollary	corollary	NOUN
ejpam-5957	143	36	.	.	PUNCT
ejpam-5957	144	1	corollary	corollary	ADJ
ejpam-5957	144	2	1	1	NUM
ejpam-5957	144	3	.	.	PUNCT
ejpam-5957	145	1	for	for	ADP
ejpam-5957	145	2	n	n	PRON
ejpam-5957	145	3	≥	≥	NOUN
ejpam-5957	145	4	0	0	NUM
ejpam-5957	145	5	,	,	PUNCT
ejpam-5957	145	6	the	the	DET
ejpam-5957	145	7	following	follow	VERB
ejpam-5957	145	8	equation	equation	NOUN
ejpam-5957	145	9	holds	hold	VERB
ejpam-5957	145	10	:	:	PUNCT
ejpam-5957	145	11	hf	hf	PROPN
ejpam-5957	145	12	(	(	PUNCT
ejpam-5957	145	13	j	j	NOUN
ejpam-5957	145	14	)	)	PUNCT
ejpam-5957	145	15	n	n	CCONJ
ejpam-5957	145	16	(	(	PUNCT
ejpam-5957	145	17	x+	x+	PROPN
ejpam-5957	145	18	u	u	NOUN
ejpam-5957	145	19	,	,	PUNCT
ejpam-5957	145	20	y	y	PROPN
ejpam-5957	145	21	;	;	PUNCT
ejpam-5957	145	22	v	v	NOUN
ejpam-5957	145	23	)	)	PUNCT
ejpam-5957	145	24	=	=	SYM
ejpam-5957	145	25	n∑	n∑	NOUN
ejpam-5957	145	26	r=0	r=0	PROPN
ejpam-5957	145	27	(	(	PUNCT
ejpam-5957	145	28	n	n	NOUN
ejpam-5957	145	29	r	r	NOUN
ejpam-5957	145	30	)	)	PUNCT
ejpam-5957	145	31	fn−r(x	fn−r(x	PROPN
ejpam-5957	145	32	,	,	PUNCT
ejpam-5957	145	33	y)h	y)h	X
ejpam-5957	145	34	(	(	PUNCT
ejpam-5957	145	35	j	j	NOUN
ejpam-5957	145	36	)	)	PUNCT
ejpam-5957	145	37	r	r	NOUN
ejpam-5957	145	38	(	(	PUNCT
ejpam-5957	145	39	u	u	NOUN
ejpam-5957	145	40	,	,	PUNCT
ejpam-5957	145	41	v	v	NOUN
ejpam-5957	145	42	)	)	PUNCT
ejpam-5957	145	43	.	.	PUNCT
ejpam-5957	146	1	setting	set	VERB
ejpam-5957	146	2	j	j	PROPN
ejpam-5957	146	3	=	=	SYM
ejpam-5957	146	4	2	2	NUM
ejpam-5957	146	5	and	and	CCONJ
ejpam-5957	146	6	z	z	NOUN
ejpam-5957	146	7	=	=	SYM
ejpam-5957	146	8	0	0	NUM
ejpam-5957	146	9	in	in	ADP
ejpam-5957	146	10	theorem	theorem	NOUN
ejpam-5957	146	11	8	8	NUM
ejpam-5957	146	12	,	,	PUNCT
ejpam-5957	146	13	a	a	DET
ejpam-5957	146	14	relation	relation	NOUN
ejpam-5957	146	15	between	between	ADP
ejpam-5957	146	16	the	the	DET
ejpam-5957	146	17	3	3	NUM
ejpam-5957	146	18	-	-	PUNCT
ejpam-5957	146	19	variable	variable	ADJ
ejpam-5957	146	20	-	-	PUNCT
ejpam-5957	146	21	hermite	hermite	ADJ
ejpam-5957	146	22	fubini	fubini	ADJ
ejpam-5957	146	23	polynomials	polynomial	NOUN
ejpam-5957	146	24	,	,	PUNCT
ejpam-5957	146	25	bivariate	bivariate	ADJ
ejpam-5957	146	26	fubini	fubini	ADJ
ejpam-5957	146	27	polynomials	polynomial	NOUN
ejpam-5957	146	28	and	and	CCONJ
ejpam-5957	146	29	2	2	NUM
ejpam-5957	146	30	-	-	PUNCT
ejpam-5957	146	31	variable	variable	ADJ
ejpam-5957	146	32	hermite	hermite	ADJ
ejpam-5957	146	33	polynomials	polynomial	NOUN
ejpam-5957	146	34	will	will	AUX
ejpam-5957	146	35	be	be	AUX
ejpam-5957	146	36	established	establish	VERB
ejpam-5957	146	37	in	in	ADP
ejpam-5957	146	38	the	the	DET
ejpam-5957	146	39	following	follow	VERB
ejpam-5957	146	40	corollary	corollary	NOUN
ejpam-5957	146	41	.	.	PUNCT
ejpam-5957	147	1	corollary	corollary	ADJ
ejpam-5957	147	2	2	2	NUM
ejpam-5957	147	3	.	.	PUNCT
ejpam-5957	147	4	for	for	ADP
ejpam-5957	147	5	n	n	PRON
ejpam-5957	147	6	≥	≥	NOUN
ejpam-5957	147	7	0	0	NUM
ejpam-5957	147	8	,	,	PUNCT
ejpam-5957	147	9	the	the	DET
ejpam-5957	147	10	following	follow	VERB
ejpam-5957	147	11	equation	equation	NOUN
ejpam-5957	147	12	holds	hold	VERB
ejpam-5957	147	13	:	:	PUNCT
ejpam-5957	147	14	hfn(x+	hfn(x+	NOUN
ejpam-5957	147	15	u	u	NOUN
ejpam-5957	147	16	,	,	PUNCT
ejpam-5957	147	17	y	y	PROPN
ejpam-5957	147	18	;	;	PUNCT
ejpam-5957	147	19	v	v	NOUN
ejpam-5957	147	20	)	)	PUNCT
ejpam-5957	147	21	=	=	SYM
ejpam-5957	148	1	n∑	n∑	NOUN
ejpam-5957	149	1	r=0	r=0	PROPN
ejpam-5957	150	1	(	(	PUNCT
ejpam-5957	150	2	n	n	NOUN
ejpam-5957	150	3	r	r	NOUN
ejpam-5957	150	4	)	)	PUNCT
ejpam-5957	150	5	fn−r(x	fn−r(x	PROPN
ejpam-5957	150	6	,	,	PUNCT
ejpam-5957	150	7	y)hr(u	y)hr(u	PROPN
ejpam-5957	150	8	,	,	PUNCT
ejpam-5957	150	9	v	v	NOUN
ejpam-5957	150	10	)	)	PUNCT
ejpam-5957	150	11	.	.	PUNCT
ejpam-5957	151	1	theorem	theorem	VERB
ejpam-5957	151	2	9	9	NUM
ejpam-5957	151	3	.	.	PUNCT
ejpam-5957	151	4	for	for	ADP
ejpam-5957	151	5	n	n	PRON
ejpam-5957	151	6	≥	≥	NOUN
ejpam-5957	151	7	0	0	NUM
ejpam-5957	151	8	,	,	PUNCT
ejpam-5957	151	9	hf	hf	X
ejpam-5957	151	10	(	(	PUNCT
ejpam-5957	151	11	j	j	NOUN
ejpam-5957	151	12	)	)	PUNCT
ejpam-5957	151	13	n	n	CCONJ
ejpam-5957	151	14	(	(	PUNCT
ejpam-5957	151	15	x+	x+	PROPN
ejpam-5957	151	16	u	u	NOUN
ejpam-5957	151	17	,	,	PUNCT
ejpam-5957	151	18	y	y	PROPN
ejpam-5957	151	19	;	;	PUNCT
ejpam-5957	151	20	z	z	X
ejpam-5957	151	21	)	)	PUNCT
ejpam-5957	151	22	=	=	SYM
ejpam-5957	152	1	n∑	n∑	PROPN
ejpam-5957	152	2	m=0	m=0	PROPN
ejpam-5957	152	3	(	(	PUNCT
ejpam-5957	152	4	n	n	NOUN
ejpam-5957	152	5	m	m	PROPN
ejpam-5957	152	6	)	)	PUNCT
ejpam-5957	152	7	xn−m	xn−m	PROPN
ejpam-5957	153	1	hf	hf	NOUN
ejpam-5957	153	2	(	(	PUNCT
ejpam-5957	153	3	j	j	NOUN
ejpam-5957	153	4	)	)	PUNCT
ejpam-5957	153	5	m	m	PROPN
ejpam-5957	153	6	(	(	PUNCT
ejpam-5957	153	7	u	u	NOUN
ejpam-5957	153	8	,	,	PUNCT
ejpam-5957	153	9	y	y	PROPN
ejpam-5957	153	10	;	;	PUNCT
ejpam-5957	153	11	z	z	NOUN
ejpam-5957	153	12	)	)	PUNCT
ejpam-5957	153	13	.	.	PUNCT
ejpam-5957	154	1	proof	proof	NOUN
ejpam-5957	154	2	.	.	PUNCT
ejpam-5957	155	1	by	by	ADP
ejpam-5957	155	2	definition	definition	NOUN
ejpam-5957	155	3	6	6	NUM
ejpam-5957	155	4	,	,	PUNCT
ejpam-5957	155	5	∞∑	∞∑	PRON
ejpam-5957	155	6	n=0	n=0	NUM
ejpam-5957	155	7	hf	hf	NOUN
ejpam-5957	155	8	(	(	PUNCT
ejpam-5957	155	9	j	j	NOUN
ejpam-5957	155	10	)	)	PUNCT
ejpam-5957	155	11	n	n	CCONJ
ejpam-5957	155	12	(	(	PUNCT
ejpam-5957	155	13	x+	x+	PROPN
ejpam-5957	155	14	u	u	NOUN
ejpam-5957	155	15	,	,	PUNCT
ejpam-5957	155	16	y	y	PROPN
ejpam-5957	155	17	;	;	PUNCT
ejpam-5957	155	18	z	z	X
ejpam-5957	155	19	)	)	PUNCT
ejpam-5957	155	20	tn	tn	PROPN
ejpam-5957	155	21	n	n	NOUN
ejpam-5957	155	22	!	!	PUNCT
ejpam-5957	155	23	=	=	SYM
ejpam-5957	155	24	eut+ztj	eut+ztj	PROPN
ejpam-5957	155	25	1−	1−	NUM
ejpam-5957	155	26	y(et	y(et	NOUN
ejpam-5957	155	27	−	−	PROPN
ejpam-5957	155	28	1	1	NUM
ejpam-5957	155	29	)	)	PUNCT
ejpam-5957	155	30	·	·	PUNCT
ejpam-5957	155	31	ext	ext	NOUN
ejpam-5957	155	32	.	.	PUNCT
ejpam-5957	155	33	r.	r.	PROPN
ejpam-5957	155	34	g.	g.	PROPN
ejpam-5957	155	35	bago	bago	PROPN
ejpam-5957	155	36	,	,	PUNCT
ejpam-5957	155	37	n.	n.	PROPN
ejpam-5957	155	38	s.	s.	PROPN
ejpam-5957	155	39	abdulcarim	abdulcarim	PROPN
ejpam-5957	155	40	/	/	SYM
ejpam-5957	155	41	eur	eur	PROPN
ejpam-5957	155	42	.	.	PUNCT
ejpam-5957	156	1	j.	j.	PROPN
ejpam-5957	156	2	pure	pure	PROPN
ejpam-5957	156	3	appl	appl	PROPN
ejpam-5957	156	4	.	.	PROPN
ejpam-5957	156	5	math	math	PROPN
ejpam-5957	156	6	,	,	PUNCT
ejpam-5957	156	7	18	18	NUM
ejpam-5957	156	8	(	(	PUNCT
ejpam-5957	156	9	2	2	NUM
ejpam-5957	156	10	)	)	PUNCT
ejpam-5957	156	11	(	(	PUNCT
ejpam-5957	156	12	2025	2025	NUM
ejpam-5957	156	13	)	)	PUNCT
ejpam-5957	156	14	,	,	PUNCT
ejpam-5957	156	15	5957	5957	NUM
ejpam-5957	156	16	8	8	NUM
ejpam-5957	156	17	of	of	ADP
ejpam-5957	156	18	25	25	NUM
ejpam-5957	156	19	then	then	ADV
ejpam-5957	156	20	,	,	PUNCT
ejpam-5957	156	21	again	again	ADV
ejpam-5957	156	22	applying	apply	VERB
ejpam-5957	156	23	definition	definition	NOUN
ejpam-5957	156	24	6	6	NUM
ejpam-5957	156	25	to	to	ADP
ejpam-5957	156	26	the	the	DET
ejpam-5957	156	27	right	right	ADJ
ejpam-5957	156	28	-	-	PUNCT
ejpam-5957	156	29	hand	hand	NOUN
ejpam-5957	156	30	side	side	NOUN
ejpam-5957	156	31	of	of	ADP
ejpam-5957	156	32	the	the	DET
ejpam-5957	156	33	above	above	ADJ
ejpam-5957	156	34	equation	equation	NOUN
ejpam-5957	156	35	and	and	CCONJ
ejpam-5957	156	36	expressing	express	VERB
ejpam-5957	156	37	ext	ext	NOUN
ejpam-5957	156	38	in	in	ADP
ejpam-5957	156	39	its	its	PRON
ejpam-5957	156	40	series	series	NOUN
ejpam-5957	156	41	form	form	NOUN
ejpam-5957	156	42	,	,	PUNCT
ejpam-5957	156	43	we	we	PRON
ejpam-5957	156	44	have	have	VERB
ejpam-5957	156	45	∞∑	∞∑	NUM
ejpam-5957	156	46	n=0	n=0	NUM
ejpam-5957	156	47	hf	hf	NOUN
ejpam-5957	156	48	(	(	PUNCT
ejpam-5957	156	49	j	j	NOUN
ejpam-5957	156	50	)	)	PUNCT
ejpam-5957	156	51	n	n	CCONJ
ejpam-5957	156	52	(	(	PUNCT
ejpam-5957	156	53	x+	x+	PROPN
ejpam-5957	156	54	u	u	NOUN
ejpam-5957	156	55	,	,	PUNCT
ejpam-5957	156	56	y	y	PROPN
ejpam-5957	156	57	;	;	PUNCT
ejpam-5957	156	58	z	z	X
ejpam-5957	156	59	)	)	PUNCT
ejpam-5957	156	60	tn	tn	PROPN
ejpam-5957	156	61	n	n	NOUN
ejpam-5957	156	62	!	!	PUNCT
ejpam-5957	157	1	=	=	NOUN
ejpam-5957	158	1	∞∑	∞∑	NUM
ejpam-5957	158	2	m=0	m=0	PROPN
ejpam-5957	158	3	hf	hf	NOUN
ejpam-5957	158	4	(	(	PUNCT
ejpam-5957	158	5	j	j	NOUN
ejpam-5957	158	6	)	)	PUNCT
ejpam-5957	158	7	m	m	PROPN
ejpam-5957	158	8	(	(	PUNCT
ejpam-5957	158	9	u	u	NOUN
ejpam-5957	158	10	,	,	PUNCT
ejpam-5957	158	11	y	y	PROPN
ejpam-5957	158	12	;	;	PUNCT
ejpam-5957	158	13	z	z	X
ejpam-5957	158	14	)	)	PUNCT
ejpam-5957	158	15	tm	tm	PROPN
ejpam-5957	158	16	m	m	PROPN
ejpam-5957	158	17	!	!	PUNCT
ejpam-5957	158	18	·	·	PUNCT
ejpam-5957	159	1	∞∑	∞∑	NUM
ejpam-5957	159	2	n=0	n=0	NUM
ejpam-5957	159	3	xn	xn	PROPN
ejpam-5957	159	4	tn	tn	PROPN
ejpam-5957	159	5	n	n	PROPN
ejpam-5957	159	6	!	!	PUNCT
ejpam-5957	159	7	.	.	PUNCT
ejpam-5957	160	1	(	(	PUNCT
ejpam-5957	160	2	30	30	NUM
ejpam-5957	160	3	)	)	PUNCT
ejpam-5957	160	4	moreover	moreover	ADV
ejpam-5957	160	5	,	,	PUNCT
ejpam-5957	160	6	applying	apply	VERB
ejpam-5957	160	7	theorem	theorem	NOUN
ejpam-5957	160	8	3	3	NUM
ejpam-5957	160	9	to	to	ADP
ejpam-5957	160	10	equation	equation	NOUN
ejpam-5957	160	11	(	(	PUNCT
ejpam-5957	160	12	30	30	NUM
ejpam-5957	160	13	)	)	PUNCT
ejpam-5957	160	14	we	we	PRON
ejpam-5957	160	15	get	get	VERB
ejpam-5957	160	16	∞∑	∞∑	NUM
ejpam-5957	160	17	n=0	n=0	NUM
ejpam-5957	160	18	hf	hf	NOUN
ejpam-5957	160	19	(	(	PUNCT
ejpam-5957	160	20	j	j	NOUN
ejpam-5957	160	21	)	)	PUNCT
ejpam-5957	160	22	n	n	CCONJ
ejpam-5957	160	23	(	(	PUNCT
ejpam-5957	160	24	x+	x+	PROPN
ejpam-5957	160	25	u	u	NOUN
ejpam-5957	160	26	,	,	PUNCT
ejpam-5957	160	27	y	y	PROPN
ejpam-5957	160	28	;	;	PUNCT
ejpam-5957	160	29	z	z	X
ejpam-5957	160	30	)	)	PUNCT
ejpam-5957	160	31	tn	tn	PROPN
ejpam-5957	160	32	n	n	NOUN
ejpam-5957	160	33	!	!	PUNCT
ejpam-5957	161	1	=	=	NOUN
ejpam-5957	162	1	∞∑	∞∑	PRON
ejpam-5957	162	2	n=0	n=0	NUM
ejpam-5957	162	3	(	(	PUNCT
ejpam-5957	162	4	n∑	n∑	PROPN
ejpam-5957	162	5	m=0	m=0	PROPN
ejpam-5957	162	6	(	(	PUNCT
ejpam-5957	162	7	n	n	NOUN
ejpam-5957	162	8	m	m	PROPN
ejpam-5957	162	9	)	)	PUNCT
ejpam-5957	163	1	xn−m	xn−m	PROPN
ejpam-5957	163	2	hf	hf	NOUN
ejpam-5957	163	3	(	(	PUNCT
ejpam-5957	163	4	j	j	NOUN
ejpam-5957	163	5	)	)	PUNCT
ejpam-5957	163	6	m	m	PROPN
ejpam-5957	163	7	(	(	PUNCT
ejpam-5957	163	8	u	u	NOUN
ejpam-5957	163	9	,	,	PUNCT
ejpam-5957	163	10	y	y	PROPN
ejpam-5957	163	11	;	;	PUNCT
ejpam-5957	163	12	z	z	NOUN
ejpam-5957	163	13	)	)	PUNCT
ejpam-5957	163	14	)	)	PUNCT
ejpam-5957	163	15	tn	tn	PROPN
ejpam-5957	163	16	n	n	PROPN
ejpam-5957	163	17	!	!	PUNCT
ejpam-5957	163	18	.	.	PUNCT
ejpam-5957	164	1	comparing	compare	VERB
ejpam-5957	164	2	the	the	DET
ejpam-5957	164	3	coefficients	coefficient	NOUN
ejpam-5957	164	4	of	of	ADP
ejpam-5957	164	5	tn	tn	NOUN
ejpam-5957	164	6	n	n	X
ejpam-5957	164	7	!	!	PUNCT
ejpam-5957	164	8	yield	yield	NOUN
ejpam-5957	164	9	to	to	ADP
ejpam-5957	164	10	the	the	DET
ejpam-5957	164	11	desired	desire	VERB
ejpam-5957	164	12	result	result	NOUN
ejpam-5957	164	13	.	.	PUNCT
ejpam-5957	165	1	setting	set	VERB
ejpam-5957	165	2	j	j	PROPN
ejpam-5957	165	3	=	=	SYM
ejpam-5957	165	4	2	2	NUM
ejpam-5957	165	5	in	in	ADP
ejpam-5957	165	6	theorem	theorem	NOUN
ejpam-5957	165	7	9	9	NUM
ejpam-5957	165	8	,	,	PUNCT
ejpam-5957	165	9	a	a	DET
ejpam-5957	165	10	formula	formula	NOUN
ejpam-5957	165	11	involving	involve	VERB
ejpam-5957	165	12	3	3	NUM
ejpam-5957	165	13	-	-	PUNCT
ejpam-5957	165	14	variable	variable	ADJ
ejpam-5957	165	15	-	-	PUNCT
ejpam-5957	165	16	hermite	hermite	ADJ
ejpam-5957	165	17	fubini	fubini	ADJ
ejpam-5957	165	18	polynomials	polynomial	NOUN
ejpam-5957	165	19	will	will	AUX
ejpam-5957	165	20	be	be	AUX
ejpam-5957	165	21	established	establish	VERB
ejpam-5957	165	22	in	in	ADP
ejpam-5957	165	23	the	the	DET
ejpam-5957	165	24	following	follow	VERB
ejpam-5957	165	25	corollary	corollary	NOUN
ejpam-5957	165	26	.	.	PUNCT
ejpam-5957	166	1	corollary	corollary	ADJ
ejpam-5957	166	2	3	3	NUM
ejpam-5957	166	3	.	.	PUNCT
ejpam-5957	166	4	for	for	ADP
ejpam-5957	166	5	n	n	PRON
ejpam-5957	166	6	≥	≥	NOUN
ejpam-5957	166	7	0	0	NUM
ejpam-5957	166	8	,	,	PUNCT
ejpam-5957	166	9	the	the	DET
ejpam-5957	166	10	following	follow	VERB
ejpam-5957	166	11	equation	equation	NOUN
ejpam-5957	166	12	holds	hold	VERB
ejpam-5957	166	13	:	:	PUNCT
ejpam-5957	166	14	hfn(x+	hfn(x+	NOUN
ejpam-5957	166	15	u	u	NOUN
ejpam-5957	166	16	,	,	PUNCT
ejpam-5957	166	17	y	y	PROPN
ejpam-5957	166	18	;	;	PUNCT
ejpam-5957	166	19	z	z	X
ejpam-5957	166	20	)	)	PUNCT
ejpam-5957	166	21	=	=	SYM
ejpam-5957	167	1	n∑	n∑	PROPN
ejpam-5957	167	2	m=0	m=0	PROPN
ejpam-5957	167	3	(	(	PUNCT
ejpam-5957	167	4	n	n	NOUN
ejpam-5957	167	5	m	m	VERB
ejpam-5957	167	6	)	)	PUNCT
ejpam-5957	167	7	xn−m	xn−m	PROPN
ejpam-5957	168	1	hfm(u	hfm(u	PROPN
ejpam-5957	168	2	,	,	PUNCT
ejpam-5957	168	3	y	y	PROPN
ejpam-5957	168	4	;	;	PUNCT
ejpam-5957	168	5	z	z	NOUN
ejpam-5957	168	6	)	)	PUNCT
ejpam-5957	168	7	.	.	PUNCT
ejpam-5957	169	1	setting	set	VERB
ejpam-5957	169	2	z	z	NOUN
ejpam-5957	169	3	=	=	SYM
ejpam-5957	169	4	0	0	NUM
ejpam-5957	169	5	in	in	ADP
ejpam-5957	169	6	theorem	theorem	NOUN
ejpam-5957	169	7	9	9	NUM
ejpam-5957	169	8	,	,	PUNCT
ejpam-5957	169	9	a	a	DET
ejpam-5957	169	10	formula	formula	NOUN
ejpam-5957	169	11	involving	involve	VERB
ejpam-5957	169	12	bivariate	bivariate	ADJ
ejpam-5957	169	13	fubini	fubini	ADJ
ejpam-5957	169	14	polynomials	polynomial	NOUN
ejpam-5957	169	15	will	will	AUX
ejpam-5957	169	16	be	be	AUX
ejpam-5957	169	17	established	establish	VERB
ejpam-5957	169	18	in	in	ADP
ejpam-5957	169	19	the	the	DET
ejpam-5957	169	20	following	follow	VERB
ejpam-5957	169	21	corollary	corollary	NOUN
ejpam-5957	169	22	.	.	PUNCT
ejpam-5957	170	1	corollary	corollary	ADJ
ejpam-5957	170	2	4	4	NUM
ejpam-5957	170	3	.	.	PUNCT
ejpam-5957	170	4	for	for	ADP
ejpam-5957	170	5	n	n	PRON
ejpam-5957	170	6	≥	≥	NOUN
ejpam-5957	170	7	0	0	NUM
ejpam-5957	170	8	,	,	PUNCT
ejpam-5957	170	9	the	the	DET
ejpam-5957	170	10	following	follow	VERB
ejpam-5957	170	11	equation	equation	NOUN
ejpam-5957	170	12	holds	hold	VERB
ejpam-5957	170	13	:	:	PUNCT
ejpam-5957	170	14	fn(x+	fn(x+	PROPN
ejpam-5957	170	15	u	u	PROPN
ejpam-5957	170	16	,	,	PUNCT
ejpam-5957	170	17	y	y	NOUN
ejpam-5957	170	18	)	)	PUNCT
ejpam-5957	170	19	=	=	SYM
ejpam-5957	171	1	n∑	n∑	PROPN
ejpam-5957	171	2	m=0	m=0	PROPN
ejpam-5957	171	3	(	(	PUNCT
ejpam-5957	171	4	n	n	NOUN
ejpam-5957	171	5	m	m	VERB
ejpam-5957	171	6	)	)	PUNCT
ejpam-5957	172	1	xn−mfm(u	xn−mfm(u	PROPN
ejpam-5957	172	2	,	,	PUNCT
ejpam-5957	172	3	y	y	PROPN
ejpam-5957	172	4	)	)	PUNCT
ejpam-5957	172	5	.	.	PUNCT
ejpam-5957	173	1	theorem	theorem	ADJ
ejpam-5957	173	2	10	10	NUM
ejpam-5957	173	3	.	.	PUNCT
ejpam-5957	174	1	for	for	ADP
ejpam-5957	174	2	n	n	PRON
ejpam-5957	174	3	≥	≥	NOUN
ejpam-5957	174	4	0	0	NUM
ejpam-5957	174	5	,	,	PUNCT
ejpam-5957	174	6	the	the	DET
ejpam-5957	174	7	following	follow	VERB
ejpam-5957	174	8	formula	formula	NOUN
ejpam-5957	174	9	for	for	ADP
ejpam-5957	174	10	gould	gould	NOUN
ejpam-5957	174	11	-	-	PUNCT
ejpam-5957	174	12	hopper	hopper	NOUN
ejpam-5957	174	13	-	-	PUNCT
ejpam-5957	174	14	based	base	VERB
ejpam-5957	174	15	bivariate	bivariate	ADJ
ejpam-5957	174	16	fubini	fubini	ADJ
ejpam-5957	174	17	polynomials	polynomial	NOUN
ejpam-5957	174	18	holds	hold	VERB
ejpam-5957	174	19	:	:	PUNCT
ejpam-5957	175	1	yhf	yhf	PROPN
ejpam-5957	175	2	(	(	PUNCT
ejpam-5957	175	3	j	j	NOUN
ejpam-5957	175	4	)	)	PUNCT
ejpam-5957	175	5	n	n	CCONJ
ejpam-5957	175	6	(	(	PUNCT
ejpam-5957	175	7	x+	x+	PROPN
ejpam-5957	175	8	1	1	NUM
ejpam-5957	175	9	,	,	PUNCT
ejpam-5957	175	10	y	y	PROPN
ejpam-5957	175	11	;	;	PUNCT
ejpam-5957	175	12	z	z	X
ejpam-5957	175	13	)	)	PUNCT
ejpam-5957	175	14	=	=	SYM
ejpam-5957	175	15	(	(	PUNCT
ejpam-5957	175	16	1	1	NUM
ejpam-5957	175	17	+	+	NUM
ejpam-5957	175	18	y)hf	y)hf	PROPN
ejpam-5957	175	19	(	(	PUNCT
ejpam-5957	175	20	j	j	PROPN
ejpam-5957	175	21	)	)	PUNCT
ejpam-5957	175	22	n	n	PROPN
ejpam-5957	175	23	(	(	PUNCT
ejpam-5957	175	24	x	x	X
ejpam-5957	175	25	,	,	PUNCT
ejpam-5957	175	26	y	y	PROPN
ejpam-5957	175	27	;	;	PUNCT
ejpam-5957	175	28	z)−h(j	z)−h(j	X
ejpam-5957	175	29	)	)	PUNCT
ejpam-5957	175	30	n	n	CCONJ
ejpam-5957	175	31	(	(	PUNCT
ejpam-5957	175	32	x	x	X
ejpam-5957	175	33	,	,	PUNCT
ejpam-5957	175	34	z	z	NOUN
ejpam-5957	175	35	)	)	PUNCT
ejpam-5957	175	36	.	.	PUNCT
ejpam-5957	176	1	(	(	PUNCT
ejpam-5957	176	2	31	31	NUM
ejpam-5957	176	3	)	)	PUNCT
ejpam-5957	176	4	proof	proof	NOUN
ejpam-5957	176	5	.	.	PUNCT
ejpam-5957	177	1	using	use	VERB
ejpam-5957	177	2	definition	definition	NOUN
ejpam-5957	177	3	6	6	NUM
ejpam-5957	177	4	,	,	PUNCT
ejpam-5957	177	5	∞∑	∞∑	PROPN
ejpam-5957	177	6	n=0	n=0	NUM
ejpam-5957	177	7	yhf	yhf	NOUN
ejpam-5957	177	8	(	(	PUNCT
ejpam-5957	177	9	j	j	NOUN
ejpam-5957	177	10	)	)	PUNCT
ejpam-5957	177	11	n	n	CCONJ
ejpam-5957	177	12	(	(	PUNCT
ejpam-5957	177	13	x+	x+	PROPN
ejpam-5957	177	14	1	1	NUM
ejpam-5957	177	15	,	,	PUNCT
ejpam-5957	177	16	y	y	PROPN
ejpam-5957	177	17	;	;	PUNCT
ejpam-5957	177	18	z	z	X
ejpam-5957	177	19	)	)	PUNCT
ejpam-5957	177	20	tn	tn	PROPN
ejpam-5957	177	21	n	n	NOUN
ejpam-5957	177	22	!	!	PUNCT
ejpam-5957	177	23	=	=	PUNCT
ejpam-5957	178	1	ye(x+1)t+ztj	ye(x+1)t+ztj	NUM
ejpam-5957	178	2	1−	1−	NUM
ejpam-5957	178	3	y(et	y(et	NOUN
ejpam-5957	178	4	−	−	PROPN
ejpam-5957	178	5	1	1	NUM
ejpam-5957	178	6	)	)	PUNCT
ejpam-5957	178	7	=	=	PUNCT
ejpam-5957	179	1	ext+ztj	ext+ztj	ADJ
ejpam-5957	179	2	−	−	PROPN
ejpam-5957	179	3	ext+ztj	ext+ztj	PROPN
ejpam-5957	179	4	+	+	CCONJ
ejpam-5957	179	5	yext+ztj	yext+ztj	PROPN
ejpam-5957	179	6	−	−	PROPN
ejpam-5957	179	7	yext+ztj	yext+ztj	PROPN
ejpam-5957	179	8	+	+	CCONJ
ejpam-5957	179	9	ye(x+1)t+ztj	ye(x+1)t+ztj	PROPN
ejpam-5957	179	10	1−	1−	NUM
ejpam-5957	179	11	y(et	y(et	NOUN
ejpam-5957	179	12	−	−	PROPN
ejpam-5957	179	13	1	1	NUM
ejpam-5957	179	14	)	)	PUNCT
ejpam-5957	179	15	=	=	SYM
ejpam-5957	180	1	ext+ztj	ext+ztj	PROPN
ejpam-5957	180	2	+	+	CCONJ
ejpam-5957	180	3	yext+ztj	yext+ztj	PROPN
ejpam-5957	180	4	−	−	PROPN
ejpam-5957	180	5	ext+ztj	ext+ztj	PROPN
ejpam-5957	180	6	(	(	PUNCT
ejpam-5957	180	7	1−	1−	NUM
ejpam-5957	180	8	yet	yet	ADV
ejpam-5957	180	9	+	+	CCONJ
ejpam-5957	180	10	y	y	NOUN
ejpam-5957	180	11	)	)	PUNCT
ejpam-5957	180	12	1−	1−	NUM
ejpam-5957	180	13	y(et	y(et	NOUN
ejpam-5957	180	14	−	−	PROPN
ejpam-5957	180	15	1	1	NUM
ejpam-5957	180	16	)	)	PUNCT
ejpam-5957	180	17	=	=	SYM
ejpam-5957	181	1	ext+ztj	ext+ztj	ADJ
ejpam-5957	181	2	1−	1−	NUM
ejpam-5957	181	3	y(et	y(et	NOUN
ejpam-5957	181	4	−	−	PROPN
ejpam-5957	181	5	1	1	NUM
ejpam-5957	181	6	)	)	PUNCT
ejpam-5957	181	7	+	+	NUM
ejpam-5957	181	8	yext+ztj	yext+ztj	PROPN
ejpam-5957	181	9	1−	1−	NUM
ejpam-5957	181	10	y(et	y(et	NOUN
ejpam-5957	181	11	−	−	PROPN
ejpam-5957	181	12	1	1	NUM
ejpam-5957	181	13	)	)	PUNCT
ejpam-5957	181	14	−	−	PROPN
ejpam-5957	182	1	ext+ztj	ext+ztj	PROPN
ejpam-5957	182	2	.	.	PUNCT
ejpam-5957	183	1	r.	r.	PROPN
ejpam-5957	183	2	g.	g.	PROPN
ejpam-5957	183	3	bago	bago	PROPN
ejpam-5957	183	4	,	,	PUNCT
ejpam-5957	183	5	n.	n.	PROPN
ejpam-5957	183	6	s.	s.	PROPN
ejpam-5957	183	7	abdulcarim	abdulcarim	PROPN
ejpam-5957	183	8	/	/	SYM
ejpam-5957	183	9	eur	eur	PROPN
ejpam-5957	183	10	.	.	PUNCT
ejpam-5957	184	1	j.	j.	PROPN
ejpam-5957	184	2	pure	pure	PROPN
ejpam-5957	184	3	appl	appl	PROPN
ejpam-5957	184	4	.	.	PROPN
ejpam-5957	184	5	math	math	PROPN
ejpam-5957	184	6	,	,	PUNCT
ejpam-5957	184	7	18	18	NUM
ejpam-5957	184	8	(	(	PUNCT
ejpam-5957	184	9	2	2	NUM
ejpam-5957	184	10	)	)	PUNCT
ejpam-5957	184	11	(	(	PUNCT
ejpam-5957	184	12	2025	2025	NUM
ejpam-5957	184	13	)	)	PUNCT
ejpam-5957	184	14	,	,	PUNCT
ejpam-5957	184	15	5957	5957	NUM
ejpam-5957	184	16	9	9	NUM
ejpam-5957	184	17	of	of	ADP
ejpam-5957	184	18	25	25	NUM
ejpam-5957	184	19	then	then	ADV
ejpam-5957	184	20	,	,	PUNCT
ejpam-5957	184	21	by	by	ADP
ejpam-5957	184	22	using	use	VERB
ejpam-5957	184	23	definition	definition	NOUN
ejpam-5957	184	24	6	6	NUM
ejpam-5957	184	25	and	and	CCONJ
ejpam-5957	184	26	definition	definition	NOUN
ejpam-5957	184	27	5	5	NUM
ejpam-5957	184	28	to	to	ADP
ejpam-5957	184	29	the	the	DET
ejpam-5957	184	30	right	right	ADJ
ejpam-5957	184	31	-	-	PUNCT
ejpam-5957	184	32	hand	hand	NOUN
ejpam-5957	184	33	side	side	NOUN
ejpam-5957	184	34	of	of	ADP
ejpam-5957	184	35	the	the	DET
ejpam-5957	184	36	above	above	ADJ
ejpam-5957	184	37	equation	equation	NOUN
ejpam-5957	184	38	we	we	PRON
ejpam-5957	184	39	have	have	VERB
ejpam-5957	184	40	∞∑	∞∑	NUM
ejpam-5957	184	41	n=0	n=0	NUM
ejpam-5957	184	42	yhf	yhf	NOUN
ejpam-5957	184	43	(	(	PUNCT
ejpam-5957	184	44	j	j	NOUN
ejpam-5957	184	45	)	)	PUNCT
ejpam-5957	184	46	n	n	CCONJ
ejpam-5957	184	47	(	(	PUNCT
ejpam-5957	184	48	x+	x+	PROPN
ejpam-5957	184	49	1	1	NUM
ejpam-5957	184	50	,	,	PUNCT
ejpam-5957	184	51	y	y	PROPN
ejpam-5957	184	52	;	;	PUNCT
ejpam-5957	184	53	z	z	X
ejpam-5957	184	54	)	)	PUNCT
ejpam-5957	184	55	tn	tn	PROPN
ejpam-5957	184	56	n	n	NOUN
ejpam-5957	184	57	!	!	PUNCT
ejpam-5957	185	1	=	=	NOUN
ejpam-5957	186	1	∞∑	∞∑	DET
ejpam-5957	186	2	n=0	n=0	NUM
ejpam-5957	186	3	hf	hf	NOUN
ejpam-5957	186	4	(	(	PUNCT
ejpam-5957	186	5	j	j	NOUN
ejpam-5957	186	6	)	)	PUNCT
ejpam-5957	186	7	n	n	PROPN
ejpam-5957	186	8	(	(	PUNCT
ejpam-5957	186	9	x	x	X
ejpam-5957	186	10	,	,	PUNCT
ejpam-5957	186	11	y	y	PROPN
ejpam-5957	186	12	;	;	PUNCT
ejpam-5957	186	13	z	z	X
ejpam-5957	186	14	)	)	PUNCT
ejpam-5957	186	15	tn	tn	PROPN
ejpam-5957	186	16	n	n	CCONJ
ejpam-5957	186	17	!	!	PUNCT
ejpam-5957	187	1	+	+	CCONJ
ejpam-5957	188	1	∞∑	∞∑	NUM
ejpam-5957	188	2	n=0	n=0	NUM
ejpam-5957	188	3	yhf	yhf	NOUN
ejpam-5957	188	4	(	(	PUNCT
ejpam-5957	188	5	j	j	NOUN
ejpam-5957	188	6	)	)	PUNCT
ejpam-5957	188	7	n	n	PROPN
ejpam-5957	188	8	(	(	PUNCT
ejpam-5957	188	9	x	x	X
ejpam-5957	188	10	,	,	PUNCT
ejpam-5957	188	11	y	y	PROPN
ejpam-5957	188	12	;	;	PUNCT
ejpam-5957	188	13	z	z	X
ejpam-5957	188	14	)	)	PUNCT
ejpam-5957	188	15	tn	tn	PROPN
ejpam-5957	188	16	n	n	NOUN
ejpam-5957	188	17	!	!	PUNCT
ejpam-5957	188	18	−	−	PROPN
ejpam-5957	189	1	∞∑	∞∑	PRON
ejpam-5957	189	2	n=0	n=0	NUM
ejpam-5957	189	3	h(j	h(j	NOUN
ejpam-5957	189	4	)	)	PUNCT
ejpam-5957	189	5	n	n	CCONJ
ejpam-5957	189	6	(	(	PUNCT
ejpam-5957	189	7	x	x	NOUN
ejpam-5957	189	8	,	,	PUNCT
ejpam-5957	189	9	z	z	NOUN
ejpam-5957	189	10	)	)	PUNCT
ejpam-5957	189	11	tn	tn	PROPN
ejpam-5957	189	12	n	n	NOUN
ejpam-5957	189	13	!	!	PUNCT
ejpam-5957	189	14	=	=	PUNCT
ejpam-5957	190	1	(	(	PUNCT
ejpam-5957	190	2	1	1	NUM
ejpam-5957	190	3	+	+	NUM
ejpam-5957	190	4	y	y	NOUN
ejpam-5957	190	5	)	)	PUNCT
ejpam-5957	190	6	∞∑	∞∑	NUM
ejpam-5957	190	7	n=0	n=0	NUM
ejpam-5957	190	8	hf	hf	NOUN
ejpam-5957	190	9	(	(	PUNCT
ejpam-5957	190	10	j	j	NOUN
ejpam-5957	190	11	)	)	PUNCT
ejpam-5957	190	12	n	n	PROPN
ejpam-5957	190	13	(	(	PUNCT
ejpam-5957	190	14	x	x	X
ejpam-5957	190	15	,	,	PUNCT
ejpam-5957	190	16	y	y	PROPN
ejpam-5957	190	17	;	;	PUNCT
ejpam-5957	190	18	z	z	X
ejpam-5957	190	19	)	)	PUNCT
ejpam-5957	190	20	tn	tn	PROPN
ejpam-5957	190	21	n	n	NOUN
ejpam-5957	190	22	!	!	PUNCT
ejpam-5957	191	1	−	−	PROPN
ejpam-5957	192	1	∞∑	∞∑	PRON
ejpam-5957	192	2	n=0	n=0	NUM
ejpam-5957	192	3	h(j	h(j	NOUN
ejpam-5957	192	4	)	)	PUNCT
ejpam-5957	192	5	n	n	CCONJ
ejpam-5957	192	6	(	(	PUNCT
ejpam-5957	192	7	x	x	NOUN
ejpam-5957	192	8	,	,	PUNCT
ejpam-5957	192	9	z	z	NOUN
ejpam-5957	192	10	)	)	PUNCT
ejpam-5957	192	11	tn	tn	PROPN
ejpam-5957	192	12	n	n	CCONJ
ejpam-5957	192	13	!	!	PUNCT
ejpam-5957	192	14	=	=	NOUN
ejpam-5957	193	1	∞∑	∞∑	NUM
ejpam-5957	193	2	n=0	n=0	PUNCT
ejpam-5957	193	3	[	[	PUNCT
ejpam-5957	193	4	(	(	PUNCT
ejpam-5957	193	5	1	1	NUM
ejpam-5957	193	6	+	+	NUM
ejpam-5957	193	7	y)hf	y)hf	PROPN
ejpam-5957	193	8	(	(	PUNCT
ejpam-5957	193	9	j	j	PROPN
ejpam-5957	193	10	)	)	PUNCT
ejpam-5957	193	11	n	n	PROPN
ejpam-5957	193	12	(	(	PUNCT
ejpam-5957	193	13	x	x	X
ejpam-5957	193	14	,	,	PUNCT
ejpam-5957	193	15	y	y	PROPN
ejpam-5957	193	16	;	;	PUNCT
ejpam-5957	193	17	z)−h(j	z)−h(j	X
ejpam-5957	193	18	)	)	PUNCT
ejpam-5957	193	19	n	n	CCONJ
ejpam-5957	193	20	(	(	PUNCT
ejpam-5957	193	21	x	x	X
ejpam-5957	193	22	,	,	PUNCT
ejpam-5957	193	23	z	z	NOUN
ejpam-5957	193	24	)	)	PUNCT
ejpam-5957	193	25	]	]	PUNCT
ejpam-5957	193	26	tn	tn	PROPN
ejpam-5957	193	27	n	n	X
ejpam-5957	193	28	!	!	PROPN
ejpam-5957	193	29	.	.	PUNCT
ejpam-5957	194	1	thus	thus	ADV
ejpam-5957	194	2	,	,	PUNCT
ejpam-5957	194	3	comparing	compare	VERB
ejpam-5957	194	4	the	the	DET
ejpam-5957	194	5	coefficients	coefficient	NOUN
ejpam-5957	194	6	of	of	ADP
ejpam-5957	194	7	tn	tn	NOUN
ejpam-5957	194	8	n	n	ADP
ejpam-5957	194	9	!	!	PUNCT
ejpam-5957	195	1	in	in	ADP
ejpam-5957	195	2	the	the	DET
ejpam-5957	195	3	above	above	ADJ
ejpam-5957	195	4	equation	equation	NOUN
ejpam-5957	195	5	we	we	PRON
ejpam-5957	195	6	get	get	VERB
ejpam-5957	195	7	(	(	PUNCT
ejpam-5957	195	8	31	31	NUM
ejpam-5957	195	9	)	)	PUNCT
ejpam-5957	195	10	.	.	PUNCT
ejpam-5957	196	1	when	when	SCONJ
ejpam-5957	196	2	we	we	PRON
ejpam-5957	196	3	set	set	VERB
ejpam-5957	196	4	j	j	PROPN
ejpam-5957	196	5	=	=	SYM
ejpam-5957	196	6	2	2	NUM
ejpam-5957	196	7	in	in	ADP
ejpam-5957	196	8	theorem	theorem	NOUN
ejpam-5957	196	9	10	10	NUM
ejpam-5957	196	10	,	,	PUNCT
ejpam-5957	196	11	a	a	DET
ejpam-5957	196	12	relationship	relationship	NOUN
ejpam-5957	196	13	between	between	ADP
ejpam-5957	196	14	3	3	NUM
ejpam-5957	196	15	-	-	PUNCT
ejpam-5957	196	16	variable	variable	ADJ
ejpam-5957	196	17	hermite	hermite	ADJ
ejpam-5957	196	18	-	-	PUNCT
ejpam-5957	196	19	fubini	fubini	ADJ
ejpam-5957	196	20	polynomials	polynomial	NOUN
ejpam-5957	196	21	and	and	CCONJ
ejpam-5957	196	22	2	2	NUM
ejpam-5957	196	23	-	-	PUNCT
ejpam-5957	196	24	variable	variable	ADJ
ejpam-5957	196	25	hermite	hermite	ADJ
ejpam-5957	196	26	polynomials	polynomial	NOUN
ejpam-5957	196	27	will	will	AUX
ejpam-5957	196	28	be	be	AUX
ejpam-5957	196	29	established	establish	VERB
ejpam-5957	196	30	in	in	ADP
ejpam-5957	196	31	the	the	DET
ejpam-5957	196	32	following	follow	VERB
ejpam-5957	196	33	corollary	corollary	NOUN
ejpam-5957	196	34	.	.	PUNCT
ejpam-5957	197	1	corollary	corollary	ADJ
ejpam-5957	197	2	5	5	NUM
ejpam-5957	197	3	.	.	PUNCT
ejpam-5957	198	1	for	for	ADP
ejpam-5957	198	2	n	n	PRON
ejpam-5957	198	3	≥	≥	NOUN
ejpam-5957	198	4	0	0	NUM
ejpam-5957	198	5	,	,	PUNCT
ejpam-5957	198	6	the	the	DET
ejpam-5957	198	7	following	follow	VERB
ejpam-5957	198	8	equation	equation	NOUN
ejpam-5957	198	9	holds	hold	VERB
ejpam-5957	198	10	:	:	PUNCT
ejpam-5957	198	11	yhfn(x+	yhfn(x+	NUM
ejpam-5957	198	12	1	1	NUM
ejpam-5957	198	13	,	,	PUNCT
ejpam-5957	198	14	y	y	PROPN
ejpam-5957	198	15	;	;	PUNCT
ejpam-5957	198	16	z	z	X
ejpam-5957	198	17	)	)	PUNCT
ejpam-5957	198	18	=	=	SYM
ejpam-5957	198	19	(	(	PUNCT
ejpam-5957	198	20	1	1	NUM
ejpam-5957	198	21	+	+	NUM
ejpam-5957	198	22	y)hfn(x	y)hfn(x	NUM
ejpam-5957	198	23	,	,	PUNCT
ejpam-5957	198	24	y	y	PROPN
ejpam-5957	198	25	;	;	PUNCT
ejpam-5957	198	26	z)−hn(x	z)−hn(x	NUM
ejpam-5957	198	27	,	,	PUNCT
ejpam-5957	198	28	z	z	NOUN
ejpam-5957	198	29	)	)	PUNCT
ejpam-5957	198	30	.	.	PUNCT
ejpam-5957	199	1	remark	remark	PROPN
ejpam-5957	199	2	3	3	NUM
ejpam-5957	199	3	.	.	PUNCT
ejpam-5957	200	1	setting	set	VERB
ejpam-5957	200	2	z	z	NOUN
ejpam-5957	200	3	=	=	SYM
ejpam-5957	200	4	0	0	NUM
ejpam-5957	200	5	,	,	PUNCT
ejpam-5957	200	6	theorem	theorem	VERB
ejpam-5957	200	7	10	10	NUM
ejpam-5957	200	8	reduces	reduce	VERB
ejpam-5957	200	9	to	to	PART
ejpam-5957	200	10	theorem	theorem	VERB
ejpam-5957	200	11	6	6	NUM
ejpam-5957	200	12	.	.	PUNCT
ejpam-5957	200	13	theorem	theorem	VERB
ejpam-5957	200	14	11	11	NUM
ejpam-5957	200	15	.	.	PUNCT
ejpam-5957	201	1	for	for	ADP
ejpam-5957	201	2	n	n	PRON
ejpam-5957	201	3	≥	≥	NOUN
ejpam-5957	201	4	0	0	NUM
ejpam-5957	201	5	,	,	PUNCT
ejpam-5957	201	6	the	the	DET
ejpam-5957	201	7	following	follow	VERB
ejpam-5957	201	8	formula	formula	NOUN
ejpam-5957	201	9	for	for	ADP
ejpam-5957	201	10	gould	gould	NOUN
ejpam-5957	201	11	-	-	PUNCT
ejpam-5957	201	12	hopper	hopper	NOUN
ejpam-5957	201	13	-	-	PUNCT
ejpam-5957	201	14	based	base	VERB
ejpam-5957	201	15	bivariate	bivariate	ADJ
ejpam-5957	201	16	fubini	fubini	ADJ
ejpam-5957	201	17	polynomials	polynomial	NOUN
ejpam-5957	201	18	holds	hold	VERB
ejpam-5957	201	19	:	:	PUNCT
ejpam-5957	201	20	h(j	h(j	NUM
ejpam-5957	201	21	)	)	PUNCT
ejpam-5957	201	22	n	n	CCONJ
ejpam-5957	201	23	(	(	PUNCT
ejpam-5957	201	24	x	x	X
ejpam-5957	201	25	,	,	PUNCT
ejpam-5957	201	26	z	z	NOUN
ejpam-5957	201	27	)	)	PUNCT
ejpam-5957	201	28	=	=	SYM
ejpam-5957	202	1	hf	hf	X
ejpam-5957	202	2	(	(	PUNCT
ejpam-5957	202	3	j	j	NOUN
ejpam-5957	202	4	)	)	PUNCT
ejpam-5957	202	5	n	n	PROPN
ejpam-5957	202	6	(	(	PUNCT
ejpam-5957	202	7	x	x	X
ejpam-5957	202	8	,	,	PUNCT
ejpam-5957	202	9	y	y	PROPN
ejpam-5957	202	10	;	;	PUNCT
ejpam-5957	202	11	z)−	z)−	PROPN
ejpam-5957	202	12	yhf	yhf	INTJ
ejpam-5957	202	13	(	(	PUNCT
ejpam-5957	202	14	j	j	NOUN
ejpam-5957	202	15	)	)	PUNCT
ejpam-5957	202	16	n	n	CCONJ
ejpam-5957	202	17	(	(	PUNCT
ejpam-5957	202	18	x+	x+	PROPN
ejpam-5957	202	19	1	1	NUM
ejpam-5957	202	20	,	,	PUNCT
ejpam-5957	202	21	y	y	PROPN
ejpam-5957	202	22	;	;	PUNCT
ejpam-5957	202	23	z	z	X
ejpam-5957	202	24	)	)	PUNCT
ejpam-5957	203	1	+	+	CCONJ
ejpam-5957	203	2	yhf	yhf	INTJ
ejpam-5957	203	3	(	(	PUNCT
ejpam-5957	203	4	j	j	NOUN
ejpam-5957	203	5	)	)	PUNCT
ejpam-5957	203	6	n	n	PROPN
ejpam-5957	203	7	(	(	PUNCT
ejpam-5957	203	8	x	x	X
ejpam-5957	203	9	,	,	PUNCT
ejpam-5957	203	10	y	y	PROPN
ejpam-5957	203	11	;	;	PUNCT
ejpam-5957	203	12	z	z	NOUN
ejpam-5957	203	13	)	)	PUNCT
ejpam-5957	203	14	.	.	PUNCT
ejpam-5957	204	1	proof	proof	NOUN
ejpam-5957	204	2	.	.	PUNCT
ejpam-5957	205	1	note	note	VERB
ejpam-5957	205	2	that	that	SCONJ
ejpam-5957	205	3	ext+ztj	ext+ztj	PROPN
ejpam-5957	205	4	=	=	SYM
ejpam-5957	205	5	1−	1−	NUM
ejpam-5957	205	6	y(et	y(et	NOUN
ejpam-5957	205	7	−	−	PROPN
ejpam-5957	205	8	1	1	NUM
ejpam-5957	205	9	)	)	PUNCT
ejpam-5957	205	10	1−	1−	NUM
ejpam-5957	205	11	y(et	y(et	NOUN
ejpam-5957	205	12	−	−	PROPN
ejpam-5957	205	13	1	1	NUM
ejpam-5957	205	14	)	)	PUNCT
ejpam-5957	205	15	·	·	PUNCT
ejpam-5957	205	16	ext+ztj	ext+ztj	PROPN
ejpam-5957	205	17	=	=	PUNCT
ejpam-5957	205	18	ext+ztj	ext+ztj	PROPN
ejpam-5957	205	19	−	−	PROPN
ejpam-5957	205	20	yet(ext+ztj	yet(ext+ztj	NOUN
ejpam-5957	205	21	)	)	PUNCT
ejpam-5957	206	1	+	+	CCONJ
ejpam-5957	206	2	y(ext+ztj	y(ext+ztj	NUM
ejpam-5957	206	3	)	)	PUNCT
ejpam-5957	207	1	1−	1−	NUM
ejpam-5957	207	2	y(et	y(et	NOUN
ejpam-5957	207	3	−	−	PROPN
ejpam-5957	207	4	1	1	NUM
ejpam-5957	207	5	)	)	PUNCT
ejpam-5957	207	6	=	=	SYM
ejpam-5957	207	7	ext+ztj	ext+ztj	ADJ
ejpam-5957	207	8	1−	1−	NUM
ejpam-5957	207	9	y(et	y(et	NOUN
ejpam-5957	207	10	−	−	PROPN
ejpam-5957	207	11	1	1	NUM
ejpam-5957	207	12	)	)	PUNCT
ejpam-5957	207	13	−	−	PROPN
ejpam-5957	207	14	y	y	PROPN
ejpam-5957	207	15	e(x+1)t+ztj	e(x+1)t+ztj	PROPN
ejpam-5957	207	16	1−	1−	NUM
ejpam-5957	207	17	y(et	y(et	NOUN
ejpam-5957	207	18	−	−	PROPN
ejpam-5957	207	19	1	1	NUM
ejpam-5957	207	20	)	)	PUNCT
ejpam-5957	207	21	+	+	CCONJ
ejpam-5957	207	22	y	y	PROPN
ejpam-5957	207	23	ext+ztj	ext+ztj	PROPN
ejpam-5957	207	24	1−	1−	NUM
ejpam-5957	207	25	y(et	y(et	NOUN
ejpam-5957	207	26	−	−	PROPN
ejpam-5957	207	27	1	1	NUM
ejpam-5957	207	28	)	)	PUNCT
ejpam-5957	207	29	.	.	PUNCT
ejpam-5957	208	1	then	then	ADV
ejpam-5957	208	2	,	,	PUNCT
ejpam-5957	208	3	applying	apply	VERB
ejpam-5957	208	4	definition	definition	NOUN
ejpam-5957	208	5	5	5	NUM
ejpam-5957	208	6	to	to	ADP
ejpam-5957	208	7	the	the	DET
ejpam-5957	208	8	left	left	ADJ
ejpam-5957	208	9	-	-	PUNCT
ejpam-5957	208	10	hand	hand	NOUN
ejpam-5957	208	11	side	side	NOUN
ejpam-5957	208	12	and	and	CCONJ
ejpam-5957	208	13	definition	definition	NOUN
ejpam-5957	208	14	6	6	NUM
ejpam-5957	208	15	to	to	ADP
ejpam-5957	208	16	the	the	DET
ejpam-5957	208	17	right	right	ADJ
ejpam-5957	208	18	-	-	PUNCT
ejpam-5957	208	19	hand	hand	NOUN
ejpam-5957	208	20	side	side	NOUN
ejpam-5957	208	21	of	of	ADP
ejpam-5957	208	22	the	the	DET
ejpam-5957	208	23	above	above	ADJ
ejpam-5957	208	24	equation	equation	NOUN
ejpam-5957	208	25	we	we	PRON
ejpam-5957	208	26	have	have	VERB
ejpam-5957	208	27	∞∑	∞∑	NUM
ejpam-5957	208	28	n=0	n=0	NUM
ejpam-5957	208	29	h(j	h(j	NOUN
ejpam-5957	208	30	)	)	PUNCT
ejpam-5957	208	31	n	n	CCONJ
ejpam-5957	208	32	(	(	PUNCT
ejpam-5957	208	33	x	x	NOUN
ejpam-5957	208	34	,	,	PUNCT
ejpam-5957	208	35	z	z	NOUN
ejpam-5957	208	36	)	)	PUNCT
ejpam-5957	208	37	tn	tn	PROPN
ejpam-5957	208	38	n	n	CCONJ
ejpam-5957	208	39	!	!	PUNCT
ejpam-5957	209	1	=	=	NOUN
ejpam-5957	210	1	∞∑	∞∑	DET
ejpam-5957	210	2	n=0	n=0	NUM
ejpam-5957	210	3	hf	hf	NOUN
ejpam-5957	210	4	(	(	PUNCT
ejpam-5957	210	5	j	j	NOUN
ejpam-5957	210	6	)	)	PUNCT
ejpam-5957	210	7	n	n	PROPN
ejpam-5957	210	8	(	(	PUNCT
ejpam-5957	210	9	x	x	X
ejpam-5957	210	10	,	,	PUNCT
ejpam-5957	210	11	y	y	PROPN
ejpam-5957	210	12	;	;	PUNCT
ejpam-5957	210	13	z	z	X
ejpam-5957	210	14	)	)	PUNCT
ejpam-5957	210	15	tn	tn	PROPN
ejpam-5957	210	16	n	n	PROPN
ejpam-5957	210	17	!	!	PUNCT
ejpam-5957	211	1	−	−	PROPN
ejpam-5957	212	1	y	y	PROPN
ejpam-5957	212	2	∞∑	∞∑	PROPN
ejpam-5957	212	3	n=0	n=0	PROPN
ejpam-5957	212	4	hf	hf	NOUN
ejpam-5957	212	5	(	(	PUNCT
ejpam-5957	212	6	j	j	NOUN
ejpam-5957	212	7	)	)	PUNCT
ejpam-5957	212	8	n	n	CCONJ
ejpam-5957	212	9	(	(	PUNCT
ejpam-5957	212	10	x+	x+	PROPN
ejpam-5957	212	11	1	1	NUM
ejpam-5957	212	12	,	,	PUNCT
ejpam-5957	212	13	y	y	PROPN
ejpam-5957	212	14	;	;	PUNCT
ejpam-5957	212	15	z	z	X
ejpam-5957	212	16	)	)	PUNCT
ejpam-5957	212	17	tn	tn	PROPN
ejpam-5957	212	18	n	n	NOUN
ejpam-5957	212	19	!	!	PUNCT
ejpam-5957	213	1	+	+	CCONJ
ejpam-5957	213	2	y	y	PROPN
ejpam-5957	213	3	∞∑	∞∑	ADJ
ejpam-5957	213	4	n=0	n=0	PROPN
ejpam-5957	213	5	hf	hf	NOUN
ejpam-5957	213	6	(	(	PUNCT
ejpam-5957	213	7	j	j	NOUN
ejpam-5957	213	8	)	)	PUNCT
ejpam-5957	213	9	n	n	PROPN
ejpam-5957	213	10	(	(	PUNCT
ejpam-5957	213	11	x	x	X
ejpam-5957	213	12	,	,	PUNCT
ejpam-5957	213	13	y	y	PROPN
ejpam-5957	213	14	;	;	PUNCT
ejpam-5957	213	15	z	z	X
ejpam-5957	213	16	)	)	PUNCT
ejpam-5957	213	17	tn	tn	PROPN
ejpam-5957	213	18	n	n	NOUN
ejpam-5957	213	19	!	!	PUNCT
ejpam-5957	213	20	=	=	NOUN
ejpam-5957	214	1	∞∑	∞∑	PRON
ejpam-5957	214	2	n=0	n=0	PUNCT
ejpam-5957	214	3	[	[	PUNCT
ejpam-5957	214	4	hf	hf	NOUN
ejpam-5957	214	5	(	(	PUNCT
ejpam-5957	214	6	j	j	NOUN
ejpam-5957	214	7	)	)	PUNCT
ejpam-5957	214	8	n	n	PROPN
ejpam-5957	214	9	(	(	PUNCT
ejpam-5957	214	10	x	x	X
ejpam-5957	214	11	,	,	PUNCT
ejpam-5957	214	12	y	y	PROPN
ejpam-5957	214	13	;	;	PUNCT
ejpam-5957	214	14	z)−	z)−	PROPN
ejpam-5957	214	15	yhf	yhf	INTJ
ejpam-5957	214	16	(	(	PUNCT
ejpam-5957	214	17	j	j	NOUN
ejpam-5957	214	18	)	)	PUNCT
ejpam-5957	214	19	n	n	CCONJ
ejpam-5957	214	20	(	(	PUNCT
ejpam-5957	214	21	x+	x+	PROPN
ejpam-5957	214	22	1	1	NUM
ejpam-5957	214	23	,	,	PUNCT
ejpam-5957	214	24	y	y	PROPN
ejpam-5957	214	25	;	;	PUNCT
ejpam-5957	214	26	z	z	X
ejpam-5957	214	27	)	)	PUNCT
ejpam-5957	215	1	+	+	CCONJ
ejpam-5957	215	2	yhf	yhf	INTJ
ejpam-5957	215	3	(	(	PUNCT
ejpam-5957	215	4	j	j	NOUN
ejpam-5957	215	5	)	)	PUNCT
ejpam-5957	215	6	n	n	PROPN
ejpam-5957	215	7	(	(	PUNCT
ejpam-5957	215	8	x	x	X
ejpam-5957	215	9	,	,	PUNCT
ejpam-5957	215	10	y	y	PROPN
ejpam-5957	215	11	;	;	PUNCT
ejpam-5957	215	12	z	z	X
ejpam-5957	215	13	)	)	PUNCT
ejpam-5957	215	14	]	]	PUNCT
ejpam-5957	215	15	tn	tn	PROPN
ejpam-5957	215	16	n	n	PROPN
ejpam-5957	215	17	!	!	PUNCT
ejpam-5957	215	18	.	.	PUNCT
ejpam-5957	216	1	therefore	therefore	ADV
ejpam-5957	216	2	,	,	PUNCT
ejpam-5957	216	3	comparing	compare	VERB
ejpam-5957	216	4	the	the	DET
ejpam-5957	216	5	coefficients	coefficient	NOUN
ejpam-5957	216	6	of	of	ADP
ejpam-5957	216	7	tn	tn	NOUN
ejpam-5957	216	8	n	n	ADP
ejpam-5957	216	9	!	!	PUNCT
ejpam-5957	216	10	yields	yield	NOUN
ejpam-5957	216	11	to	to	ADP
ejpam-5957	216	12	the	the	DET
ejpam-5957	216	13	desired	desire	VERB
ejpam-5957	216	14	result	result	NOUN
ejpam-5957	216	15	.	.	PUNCT
ejpam-5957	217	1	r.	r.	PROPN
ejpam-5957	217	2	g.	g.	PROPN
ejpam-5957	217	3	bago	bago	PROPN
ejpam-5957	217	4	,	,	PUNCT
ejpam-5957	217	5	n.	n.	PROPN
ejpam-5957	217	6	s.	s.	PROPN
ejpam-5957	217	7	abdulcarim	abdulcarim	PROPN
ejpam-5957	217	8	/	/	SYM
ejpam-5957	217	9	eur	eur	PROPN
ejpam-5957	217	10	.	.	PUNCT
ejpam-5957	218	1	j.	j.	PROPN
ejpam-5957	218	2	pure	pure	PROPN
ejpam-5957	218	3	appl	appl	PROPN
ejpam-5957	218	4	.	.	PROPN
ejpam-5957	218	5	math	math	PROPN
ejpam-5957	218	6	,	,	PUNCT
ejpam-5957	218	7	18	18	NUM
ejpam-5957	218	8	(	(	PUNCT
ejpam-5957	218	9	2	2	NUM
ejpam-5957	218	10	)	)	PUNCT
ejpam-5957	218	11	(	(	PUNCT
ejpam-5957	218	12	2025	2025	NUM
ejpam-5957	218	13	)	)	PUNCT
ejpam-5957	218	14	,	,	PUNCT
ejpam-5957	218	15	5957	5957	NUM
ejpam-5957	218	16	10	10	NUM
ejpam-5957	218	17	of	of	ADP
ejpam-5957	218	18	25	25	NUM
ejpam-5957	218	19	theorem	theorem	NOUN
ejpam-5957	218	20	12	12	NUM
ejpam-5957	218	21	.	.	PUNCT
ejpam-5957	219	1	for	for	ADP
ejpam-5957	219	2	n	n	PRON
ejpam-5957	219	3	≥	≥	NOUN
ejpam-5957	219	4	0	0	NUM
ejpam-5957	219	5	and	and	CCONJ
ejpam-5957	219	6	y1	y1	PROPN
ejpam-5957	219	7	̸=	̸=	PROPN
ejpam-5957	219	8	y2	y2	PROPN
ejpam-5957	219	9	,	,	PUNCT
ejpam-5957	219	10	the	the	DET
ejpam-5957	219	11	following	follow	VERB
ejpam-5957	219	12	formula	formula	NOUN
ejpam-5957	219	13	for	for	ADP
ejpam-5957	219	14	gould	gould	NOUN
ejpam-5957	219	15	-	-	PUNCT
ejpam-5957	219	16	hopper	hopper	NOUN
ejpam-5957	219	17	-	-	PUNCT
ejpam-5957	219	18	based	base	VERB
ejpam-5957	219	19	bivariate	bivariate	ADJ
ejpam-5957	219	20	fubini	fubini	ADJ
ejpam-5957	219	21	polynomials	polynomial	NOUN
ejpam-5957	219	22	holds	hold	VERB
ejpam-5957	219	23	:	:	PUNCT
ejpam-5957	220	1	n∑	n∑	ADJ
ejpam-5957	220	2	k=0	k=0	PROPN
ejpam-5957	220	3	(	(	PUNCT
ejpam-5957	220	4	n	n	X
ejpam-5957	220	5	k	k	NOUN
ejpam-5957	220	6	)	)	PUNCT
ejpam-5957	220	7	hf	hf	NOUN
ejpam-5957	220	8	(	(	PUNCT
ejpam-5957	220	9	j	j	NOUN
ejpam-5957	220	10	)	)	PUNCT
ejpam-5957	220	11	n−k(x1	n−k(x1	PROPN
ejpam-5957	220	12	,	,	PUNCT
ejpam-5957	220	13	y1	y1	NOUN
ejpam-5957	220	14	;	;	PUNCT
ejpam-5957	220	15	z1)hf	z1)hf	PROPN
ejpam-5957	220	16	(	(	PUNCT
ejpam-5957	220	17	j	j	PROPN
ejpam-5957	220	18	)	)	PUNCT
ejpam-5957	220	19	k	k	PROPN
ejpam-5957	220	20	(	(	PUNCT
ejpam-5957	220	21	x2	x2	PROPN
ejpam-5957	220	22	,	,	PUNCT
ejpam-5957	220	23	y2	y2	PROPN
ejpam-5957	220	24	;	;	PUNCT
ejpam-5957	220	25	z2	z2	NUM
ejpam-5957	220	26	)	)	PUNCT
ejpam-5957	220	27	=	=	SYM
ejpam-5957	220	28	y2hf	y2hf	X
ejpam-5957	220	29	(	(	PUNCT
ejpam-5957	220	30	j	j	NOUN
ejpam-5957	220	31	)	)	PUNCT
ejpam-5957	220	32	n	n	PROPN
ejpam-5957	220	33	(	(	PUNCT
ejpam-5957	220	34	x1	x1	PROPN
ejpam-5957	220	35	+	+	NUM
ejpam-5957	220	36	x2	x2	PROPN
ejpam-5957	220	37	,	,	PUNCT
ejpam-5957	220	38	y2	y2	PROPN
ejpam-5957	220	39	;	;	PUNCT
ejpam-5957	220	40	z1	z1	PROPN
ejpam-5957	220	41	+	+	CCONJ
ejpam-5957	220	42	z2)−	z2)−	X
ejpam-5957	220	43	y1hf	y1hf	X
ejpam-5957	220	44	(	(	PUNCT
ejpam-5957	220	45	j	j	NOUN
ejpam-5957	220	46	)	)	PUNCT
ejpam-5957	220	47	n	n	PROPN
ejpam-5957	220	48	(	(	PUNCT
ejpam-5957	220	49	x1	x1	PROPN
ejpam-5957	221	1	+	+	CCONJ
ejpam-5957	221	2	x2	x2	PROPN
ejpam-5957	221	3	,	,	PUNCT
ejpam-5957	221	4	y1	y1	NOUN
ejpam-5957	221	5	;	;	PUNCT
ejpam-5957	221	6	z1	z1	PROPN
ejpam-5957	221	7	+	+	CCONJ
ejpam-5957	221	8	z2	z2	NOUN
ejpam-5957	221	9	)	)	PUNCT
ejpam-5957	221	10	y2	y2	NOUN
ejpam-5957	221	11	−	−	NOUN
ejpam-5957	221	12	y1	y1	INTJ
ejpam-5957	221	13	.	.	PUNCT
ejpam-5957	222	1	proof	proof	NOUN
ejpam-5957	222	2	.	.	PUNCT
ejpam-5957	223	1	using	use	VERB
ejpam-5957	223	2	definition	definition	NOUN
ejpam-5957	223	3	6	6	NUM
ejpam-5957	223	4	∞∑	∞∑	PROPN
ejpam-5957	223	5	n=0	n=0	NUM
ejpam-5957	223	6	hf	hf	NOUN
ejpam-5957	223	7	(	(	PUNCT
ejpam-5957	223	8	j	j	NOUN
ejpam-5957	223	9	)	)	PUNCT
ejpam-5957	223	10	n	n	PROPN
ejpam-5957	223	11	(	(	PUNCT
ejpam-5957	223	12	x1	x1	PROPN
ejpam-5957	223	13	,	,	PUNCT
ejpam-5957	223	14	y1	y1	X
ejpam-5957	223	15	;	;	PUNCT
ejpam-5957	223	16	z1	z1	NUM
ejpam-5957	223	17	)	)	PUNCT
ejpam-5957	223	18	tn	tn	PROPN
ejpam-5957	223	19	n	n	NOUN
ejpam-5957	223	20	!	!	PUNCT
ejpam-5957	224	1	∞∑	∞∑	NUM
ejpam-5957	224	2	k=0	k=0	PROPN
ejpam-5957	224	3	hf	hf	NOUN
ejpam-5957	224	4	(	(	PUNCT
ejpam-5957	224	5	j	j	PROPN
ejpam-5957	224	6	)	)	PUNCT
ejpam-5957	224	7	k	k	PROPN
ejpam-5957	224	8	(	(	PUNCT
ejpam-5957	224	9	x2	x2	PROPN
ejpam-5957	224	10	,	,	PUNCT
ejpam-5957	224	11	y2	y2	PROPN
ejpam-5957	224	12	;	;	PUNCT
ejpam-5957	224	13	z2	z2	NUM
ejpam-5957	224	14	)	)	PUNCT
ejpam-5957	224	15	tk	tk	PROPN
ejpam-5957	225	1	k	k	NOUN
ejpam-5957	225	2	!	!	PUNCT
ejpam-5957	225	3	=	=	PRON
ejpam-5957	226	1	ex1t+z1tj	ex1t+z1tj	PROPN
ejpam-5957	226	2	1−	1−	NUM
ejpam-5957	226	3	y1(et	y1(et	NOUN
ejpam-5957	226	4	−	−	PROPN
ejpam-5957	226	5	1	1	NUM
ejpam-5957	226	6	)	)	PUNCT
ejpam-5957	226	7	·	·	PUNCT
ejpam-5957	227	1	ex2t+z2tj	ex2t+z2tj	NUM
ejpam-5957	227	2	1−	1−	NUM
ejpam-5957	227	3	y2(et	y2(et	NUM
ejpam-5957	227	4	−	−	PROPN
ejpam-5957	227	5	1	1	NUM
ejpam-5957	227	6	)	)	PUNCT
ejpam-5957	227	7	.	.	PUNCT
ejpam-5957	228	1	then	then	ADV
ejpam-5957	228	2	,	,	PUNCT
ejpam-5957	228	3	applying	apply	VERB
ejpam-5957	228	4	theorem	theorem	NOUN
ejpam-5957	228	5	3	3	NUM
ejpam-5957	228	6	to	to	ADP
ejpam-5957	228	7	the	the	DET
ejpam-5957	228	8	left	left	ADJ
ejpam-5957	228	9	-	-	PUNCT
ejpam-5957	228	10	hand	hand	NOUN
ejpam-5957	228	11	side	side	NOUN
ejpam-5957	228	12	of	of	ADP
ejpam-5957	228	13	the	the	DET
ejpam-5957	228	14	above	above	ADJ
ejpam-5957	228	15	equation	equation	NOUN
ejpam-5957	228	16	we	we	PRON
ejpam-5957	228	17	get	get	VERB
ejpam-5957	228	18	∞∑	∞∑	NUM
ejpam-5957	228	19	n=0	n=0	NUM
ejpam-5957	228	20	(	(	PUNCT
ejpam-5957	228	21	n∑	n∑	NOUN
ejpam-5957	228	22	k=0	k=0	PROPN
ejpam-5957	228	23	(	(	PUNCT
ejpam-5957	228	24	n	n	X
ejpam-5957	228	25	k	k	NOUN
ejpam-5957	228	26	)	)	PUNCT
ejpam-5957	228	27	hf	hf	NOUN
ejpam-5957	228	28	(	(	PUNCT
ejpam-5957	228	29	j	j	NOUN
ejpam-5957	228	30	)	)	PUNCT
ejpam-5957	228	31	n−k(x1	n−k(x1	PROPN
ejpam-5957	228	32	,	,	PUNCT
ejpam-5957	228	33	y1	y1	NOUN
ejpam-5957	228	34	;	;	PUNCT
ejpam-5957	228	35	z1)hf	z1)hf	PROPN
ejpam-5957	228	36	(	(	PUNCT
ejpam-5957	228	37	j	j	PROPN
ejpam-5957	228	38	)	)	PUNCT
ejpam-5957	229	1	k	k	PROPN
ejpam-5957	229	2	(	(	PUNCT
ejpam-5957	229	3	x2	x2	PROPN
ejpam-5957	229	4	,	,	PUNCT
ejpam-5957	229	5	y2	y2	PROPN
ejpam-5957	229	6	;	;	PUNCT
ejpam-5957	229	7	z2	z2	NUM
ejpam-5957	229	8	)	)	PUNCT
ejpam-5957	229	9	)	)	PUNCT
ejpam-5957	229	10	tn	tn	PROPN
ejpam-5957	229	11	n	n	PROPN
ejpam-5957	229	12	!	!	PUNCT
ejpam-5957	230	1	=	=	PRON
ejpam-5957	230	2	ex1t+z1tj	ex1t+z1tj	PROPN
ejpam-5957	230	3	1−	1−	NUM
ejpam-5957	230	4	y1(et	y1(et	NOUN
ejpam-5957	230	5	−	−	PROPN
ejpam-5957	230	6	1	1	NUM
ejpam-5957	230	7	)	)	PUNCT
ejpam-5957	230	8	·	·	PUNCT
ejpam-5957	231	1	ex2t+z2tj	ex2t+z2tj	NUM
ejpam-5957	231	2	1−	1−	NUM
ejpam-5957	231	3	y2(et	y2(et	NUM
ejpam-5957	231	4	−	−	PROPN
ejpam-5957	231	5	1	1	NUM
ejpam-5957	231	6	)	)	PUNCT
ejpam-5957	231	7	.	.	PUNCT
ejpam-5957	232	1	(	(	PUNCT
ejpam-5957	232	2	32	32	NUM
ejpam-5957	232	3	)	)	PUNCT
ejpam-5957	232	4	note	note	NOUN
ejpam-5957	232	5	that	that	SCONJ
ejpam-5957	232	6	the	the	DET
ejpam-5957	232	7	right	right	ADJ
ejpam-5957	232	8	-	-	PUNCT
ejpam-5957	232	9	hand	hand	NOUN
ejpam-5957	232	10	side	side	NOUN
ejpam-5957	232	11	of	of	ADP
ejpam-5957	232	12	equation	equation	NOUN
ejpam-5957	232	13	(	(	PUNCT
ejpam-5957	232	14	32	32	NUM
ejpam-5957	232	15	)	)	PUNCT
ejpam-5957	232	16	can	can	AUX
ejpam-5957	232	17	be	be	AUX
ejpam-5957	232	18	expressed	express	VERB
ejpam-5957	232	19	as	as	ADP
ejpam-5957	232	20	ex1t+z1tj	ex1t+z1tj	PROPN
ejpam-5957	232	21	1−	1−	NUM
ejpam-5957	232	22	y1(et	y1(et	NOUN
ejpam-5957	232	23	−	−	PROPN
ejpam-5957	232	24	1	1	NUM
ejpam-5957	232	25	)	)	PUNCT
ejpam-5957	232	26	·	·	PUNCT
ejpam-5957	233	1	ex2t+z2tj	ex2t+z2tj	NUM
ejpam-5957	233	2	1−	1−	NUM
ejpam-5957	233	3	y2(et	y2(et	NUM
ejpam-5957	233	4	−	−	NOUN
ejpam-5957	233	5	1	1	NUM
ejpam-5957	233	6	)	)	PUNCT
ejpam-5957	233	7	=	=	SYM
ejpam-5957	233	8	e(x1+x2)t+(z1+z2)tj	e(x1+x2)t+(z1+z2)tj	PUNCT
ejpam-5957	233	9	(	(	PUNCT
ejpam-5957	233	10	1−	1−	NUM
ejpam-5957	233	11	y1(et	y1(et	NOUN
ejpam-5957	233	12	−	−	PROPN
ejpam-5957	233	13	1))(1−	1))(1−	NUM
ejpam-5957	233	14	y2(et	y2(et	NOUN
ejpam-5957	233	15	−	−	NOUN
ejpam-5957	233	16	1	1	NUM
ejpam-5957	233	17	)	)	PUNCT
ejpam-5957	233	18	)	)	PUNCT
ejpam-5957	233	19	·	·	PUNCT
ejpam-5957	234	1	y2	y2	INTJ
ejpam-5957	235	1	−	−	NOUN
ejpam-5957	235	2	y1	y1	INTJ
ejpam-5957	235	3	y2	y2	NOUN
ejpam-5957	236	1	−	−	PROPN
ejpam-5957	236	2	y1	y1	NOUN
ejpam-5957	236	3	=	=	PUNCT
ejpam-5957	236	4	y2e	y2e	NOUN
ejpam-5957	236	5	(	(	PUNCT
ejpam-5957	236	6	x1+x2)t+(z1+z2)tj	x1+x2)t+(z1+z2)tj	NOUN
ejpam-5957	236	7	−	−	PROPN
ejpam-5957	236	8	y1e	y1e	PROPN
ejpam-5957	236	9	(	(	PUNCT
ejpam-5957	236	10	x1+x2)t+(z1+z2)tj	x1+x2)t+(z1+z2)tj	X
ejpam-5957	236	11	(	(	PUNCT
ejpam-5957	236	12	1−	1−	NUM
ejpam-5957	236	13	y2(et	y2(et	NUM
ejpam-5957	236	14	−	−	PROPN
ejpam-5957	236	15	1))(1−	1))(1−	NUM
ejpam-5957	236	16	y1(et	y1(et	NOUN
ejpam-5957	236	17	−	−	PROPN
ejpam-5957	236	18	1))(y2	1))(y2	PROPN
ejpam-5957	236	19	−	−	PROPN
ejpam-5957	236	20	y1	y1	PROPN
ejpam-5957	236	21	)	)	PUNCT
ejpam-5957	236	22	=	=	SYM
ejpam-5957	236	23	(	(	PUNCT
ejpam-5957	236	24	y2e	y2e	NOUN
ejpam-5957	236	25	(	(	PUNCT
ejpam-5957	236	26	x1+x2)t+(z1+z2)tj	x1+x2)t+(z1+z2)tj	NOUN
ejpam-5957	236	27	1−	1−	NUM
ejpam-5957	236	28	y2(et	y2(et	NUM
ejpam-5957	236	29	−	−	PROPN
ejpam-5957	236	30	1	1	NUM
ejpam-5957	236	31	)	)	PUNCT
ejpam-5957	236	32	−	−	PROPN
ejpam-5957	237	1	y1e	y1e	PROPN
ejpam-5957	237	2	(	(	PUNCT
ejpam-5957	237	3	x1+x2)t+(z1+z2)tj	x1+x2)t+(z1+z2)tj	NOUN
ejpam-5957	237	4	1−	1−	NUM
ejpam-5957	237	5	y1(et	y1(et	PROPN
ejpam-5957	237	6	−	−	PROPN
ejpam-5957	237	7	1	1	NUM
ejpam-5957	237	8	)	)	PUNCT
ejpam-5957	237	9	)	)	PUNCT
ejpam-5957	237	10	(	(	PUNCT
ejpam-5957	237	11	1	1	NUM
ejpam-5957	237	12	y2	y2	NOUN
ejpam-5957	237	13	−	−	PROPN
ejpam-5957	237	14	y1	y1	PROPN
ejpam-5957	237	15	)	)	PUNCT
ejpam-5957	237	16	.	.	PUNCT
ejpam-5957	238	1	(	(	PUNCT
ejpam-5957	238	2	33	33	NUM
ejpam-5957	238	3	)	)	PUNCT
ejpam-5957	238	4	thus	thus	ADV
ejpam-5957	238	5	,	,	PUNCT
ejpam-5957	238	6	applying	apply	VERB
ejpam-5957	238	7	definition	definition	NOUN
ejpam-5957	238	8	6	6	NUM
ejpam-5957	238	9	to	to	ADP
ejpam-5957	238	10	the	the	DET
ejpam-5957	238	11	right	right	ADJ
ejpam-5957	238	12	-	-	PUNCT
ejpam-5957	238	13	hand	hand	NOUN
ejpam-5957	238	14	side	side	NOUN
ejpam-5957	238	15	of	of	ADP
ejpam-5957	238	16	(	(	PUNCT
ejpam-5957	238	17	33	33	NUM
ejpam-5957	238	18	)	)	PUNCT
ejpam-5957	238	19	we	we	PRON
ejpam-5957	238	20	have	have	VERB
ejpam-5957	238	21	(	(	PUNCT
ejpam-5957	238	22	∞∑	∞∑	PRON
ejpam-5957	238	23	n=0	n=0	NUM
ejpam-5957	238	24	y2hf	y2hf	X
ejpam-5957	238	25	(	(	PUNCT
ejpam-5957	238	26	j	j	NOUN
ejpam-5957	238	27	)	)	PUNCT
ejpam-5957	238	28	n	n	PROPN
ejpam-5957	238	29	(	(	PUNCT
ejpam-5957	238	30	x1	x1	PROPN
ejpam-5957	239	1	+	+	NUM
ejpam-5957	239	2	x2	x2	PROPN
ejpam-5957	239	3	,	,	PUNCT
ejpam-5957	239	4	y2	y2	PROPN
ejpam-5957	239	5	;	;	PUNCT
ejpam-5957	239	6	z1	z1	PROPN
ejpam-5957	239	7	+	+	CCONJ
ejpam-5957	239	8	z2	z2	PROPN
ejpam-5957	239	9	)	)	PUNCT
ejpam-5957	239	10	tn	tn	PROPN
ejpam-5957	239	11	n	n	PROPN
ejpam-5957	239	12	!	!	PUNCT
ejpam-5957	240	1	−	−	PROPN
ejpam-5957	241	1	∞∑	∞∑	PRON
ejpam-5957	241	2	n=0	n=0	NUM
ejpam-5957	241	3	y1hf	y1hf	X
ejpam-5957	241	4	(	(	PUNCT
ejpam-5957	241	5	j	j	NOUN
ejpam-5957	241	6	)	)	PUNCT
ejpam-5957	241	7	n	n	PROPN
ejpam-5957	241	8	(	(	PUNCT
ejpam-5957	241	9	x1	x1	PROPN
ejpam-5957	242	1	+	+	CCONJ
ejpam-5957	242	2	x2	x2	PROPN
ejpam-5957	242	3	,	,	PUNCT
ejpam-5957	242	4	y1	y1	NOUN
ejpam-5957	242	5	;	;	PUNCT
ejpam-5957	242	6	z1	z1	PROPN
ejpam-5957	242	7	+	+	CCONJ
ejpam-5957	242	8	z2	z2	PROPN
ejpam-5957	242	9	)	)	PUNCT
ejpam-5957	242	10	tn	tn	PROPN
ejpam-5957	242	11	n	n	PROPN
ejpam-5957	242	12	!	!	PUNCT
ejpam-5957	242	13	)	)	PUNCT
ejpam-5957	243	1	(	(	PUNCT
ejpam-5957	243	2	1	1	NUM
ejpam-5957	243	3	y2	y2	NOUN
ejpam-5957	243	4	−	−	PROPN
ejpam-5957	243	5	y1	y1	NOUN
ejpam-5957	243	6	)	)	PUNCT
ejpam-5957	243	7	=	=	PUNCT
ejpam-5957	244	1	∞∑	∞∑	NUM
ejpam-5957	244	2	n=0	n=0	NUM
ejpam-5957	244	3	(	(	PUNCT
ejpam-5957	244	4	y2hf	y2hf	X
ejpam-5957	244	5	(	(	PUNCT
ejpam-5957	244	6	j	j	NOUN
ejpam-5957	244	7	)	)	PUNCT
ejpam-5957	244	8	n	n	PROPN
ejpam-5957	244	9	(	(	PUNCT
ejpam-5957	244	10	x1	x1	PROPN
ejpam-5957	244	11	+	+	NUM
ejpam-5957	244	12	x2	x2	PROPN
ejpam-5957	244	13	,	,	PUNCT
ejpam-5957	244	14	y2	y2	PROPN
ejpam-5957	244	15	;	;	PUNCT
ejpam-5957	244	16	z1	z1	PROPN
ejpam-5957	244	17	+	+	CCONJ
ejpam-5957	244	18	z2)−	z2)−	X
ejpam-5957	244	19	y1hf	y1hf	X
ejpam-5957	244	20	(	(	PUNCT
ejpam-5957	244	21	j	j	NOUN
ejpam-5957	244	22	)	)	PUNCT
ejpam-5957	244	23	n	n	PROPN
ejpam-5957	244	24	(	(	PUNCT
ejpam-5957	244	25	x1	x1	PROPN
ejpam-5957	244	26	+	+	CCONJ
ejpam-5957	244	27	x2	x2	PROPN
ejpam-5957	244	28	,	,	PUNCT
ejpam-5957	244	29	y1	y1	NOUN
ejpam-5957	244	30	;	;	PUNCT
ejpam-5957	244	31	z1	z1	PROPN
ejpam-5957	244	32	+	+	CCONJ
ejpam-5957	244	33	z2	z2	NOUN
ejpam-5957	244	34	)	)	PUNCT
ejpam-5957	244	35	y2	y2	NOUN
ejpam-5957	244	36	−	−	PROPN
ejpam-5957	244	37	y1	y1	PROPN
ejpam-5957	244	38	)	)	PUNCT
ejpam-5957	244	39	tn	tn	PROPN
ejpam-5957	244	40	n	n	PROPN
ejpam-5957	244	41	!	!	PUNCT
ejpam-5957	244	42	.	.	PUNCT
ejpam-5957	245	1	so	so	ADV
ejpam-5957	245	2	that	that	SCONJ
ejpam-5957	245	3	,	,	PUNCT
ejpam-5957	245	4	ex1t+z1tj	ex1t+z1tj	PROPN
ejpam-5957	245	5	1−	1−	NUM
ejpam-5957	245	6	y1(et	y1(et	NOUN
ejpam-5957	245	7	−	−	PROPN
ejpam-5957	245	8	1	1	NUM
ejpam-5957	245	9	)	)	PUNCT
ejpam-5957	245	10	·	·	PUNCT
ejpam-5957	245	11	ex2t+z2tj	ex2t+z2tj	NUM
ejpam-5957	245	12	1−	1−	NUM
ejpam-5957	245	13	y2(et	y2(et	NUM
ejpam-5957	245	14	−	−	NOUN
ejpam-5957	245	15	1	1	NUM
ejpam-5957	245	16	)	)	PUNCT
ejpam-5957	245	17	=	=	NOUN
ejpam-5957	246	1	∞∑	∞∑	NUM
ejpam-5957	246	2	n=0	n=0	NUM
ejpam-5957	246	3	(	(	PUNCT
ejpam-5957	246	4	y2hf	y2hf	X
ejpam-5957	246	5	(	(	PUNCT
ejpam-5957	246	6	j	j	NOUN
ejpam-5957	246	7	)	)	PUNCT
ejpam-5957	246	8	n	n	PROPN
ejpam-5957	246	9	(	(	PUNCT
ejpam-5957	246	10	x1	x1	PROPN
ejpam-5957	246	11	+	+	NUM
ejpam-5957	246	12	x2	x2	PROPN
ejpam-5957	246	13	,	,	PUNCT
ejpam-5957	246	14	y2	y2	PROPN
ejpam-5957	246	15	;	;	PUNCT
ejpam-5957	246	16	z1	z1	PROPN
ejpam-5957	246	17	+	+	CCONJ
ejpam-5957	246	18	z2)−	z2)−	X
ejpam-5957	246	19	y1hf	y1hf	X
ejpam-5957	246	20	(	(	PUNCT
ejpam-5957	246	21	j	j	NOUN
ejpam-5957	246	22	)	)	PUNCT
ejpam-5957	246	23	n	n	PROPN
ejpam-5957	246	24	(	(	PUNCT
ejpam-5957	246	25	x1	x1	PROPN
ejpam-5957	246	26	+	+	CCONJ
ejpam-5957	246	27	x2	x2	PROPN
ejpam-5957	246	28	,	,	PUNCT
ejpam-5957	246	29	y1	y1	NOUN
ejpam-5957	246	30	;	;	PUNCT
ejpam-5957	246	31	z1	z1	PROPN
ejpam-5957	246	32	+	+	CCONJ
ejpam-5957	246	33	z2	z2	NOUN
ejpam-5957	246	34	)	)	PUNCT
ejpam-5957	246	35	y2	y2	NOUN
ejpam-5957	246	36	−	−	PROPN
ejpam-5957	246	37	y1	y1	PROPN
ejpam-5957	246	38	)	)	PUNCT
ejpam-5957	246	39	tn	tn	PROPN
ejpam-5957	246	40	n	n	PROPN
ejpam-5957	246	41	!	!	PUNCT
ejpam-5957	246	42	.	.	PUNCT
ejpam-5957	247	1	(	(	PUNCT
ejpam-5957	247	2	34	34	NUM
ejpam-5957	247	3	)	)	PUNCT
ejpam-5957	247	4	moreover	moreover	ADV
ejpam-5957	247	5	,	,	PUNCT
ejpam-5957	247	6	equating	equate	VERB
ejpam-5957	247	7	the	the	DET
ejpam-5957	247	8	left	left	ADJ
ejpam-5957	247	9	-	-	PUNCT
ejpam-5957	247	10	hand	hand	NOUN
ejpam-5957	247	11	side	side	NOUN
ejpam-5957	247	12	of	of	ADP
ejpam-5957	247	13	(	(	PUNCT
ejpam-5957	247	14	32	32	NUM
ejpam-5957	247	15	)	)	PUNCT
ejpam-5957	247	16	and	and	CCONJ
ejpam-5957	247	17	the	the	DET
ejpam-5957	247	18	right	right	ADJ
ejpam-5957	247	19	-	-	PUNCT
ejpam-5957	247	20	hand	hand	NOUN
ejpam-5957	247	21	side	side	NOUN
ejpam-5957	247	22	of	of	ADP
ejpam-5957	247	23	(	(	PUNCT
ejpam-5957	247	24	34	34	NUM
ejpam-5957	247	25	)	)	PUNCT
ejpam-5957	247	26	we	we	PRON
ejpam-5957	247	27	get	get	VERB
ejpam-5957	247	28	∞∑	∞∑	NUM
ejpam-5957	247	29	n=0	n=0	NUM
ejpam-5957	247	30	(	(	PUNCT
ejpam-5957	247	31	n∑	n∑	NOUN
ejpam-5957	247	32	k=0	k=0	PROPN
ejpam-5957	247	33	(	(	PUNCT
ejpam-5957	247	34	n	n	X
ejpam-5957	247	35	k	k	NOUN
ejpam-5957	247	36	)	)	PUNCT
ejpam-5957	247	37	hf	hf	NOUN
ejpam-5957	247	38	(	(	PUNCT
ejpam-5957	247	39	j	j	NOUN
ejpam-5957	247	40	)	)	PUNCT
ejpam-5957	247	41	n−k(x1	n−k(x1	PROPN
ejpam-5957	247	42	,	,	PUNCT
ejpam-5957	247	43	y1	y1	NOUN
ejpam-5957	247	44	;	;	PUNCT
ejpam-5957	247	45	z1)hf	z1)hf	PROPN
ejpam-5957	247	46	(	(	PUNCT
ejpam-5957	247	47	j	j	PROPN
ejpam-5957	247	48	)	)	PUNCT
ejpam-5957	248	1	k	k	PROPN
ejpam-5957	248	2	(	(	PUNCT
ejpam-5957	248	3	x2	x2	PROPN
ejpam-5957	248	4	,	,	PUNCT
ejpam-5957	248	5	y2	y2	PROPN
ejpam-5957	248	6	;	;	PUNCT
ejpam-5957	248	7	z2	z2	NUM
ejpam-5957	248	8	)	)	PUNCT
ejpam-5957	248	9	)	)	PUNCT
ejpam-5957	248	10	tn	tn	PROPN
ejpam-5957	249	1	n	n	PROPN
ejpam-5957	249	2	!	!	PUNCT
ejpam-5957	249	3	r.	r.	PROPN
ejpam-5957	249	4	g.	g.	PROPN
ejpam-5957	249	5	bago	bago	PROPN
ejpam-5957	249	6	,	,	PUNCT
ejpam-5957	249	7	n.	n.	PROPN
ejpam-5957	249	8	s.	s.	PROPN
ejpam-5957	249	9	abdulcarim	abdulcarim	PROPN
ejpam-5957	249	10	/	/	SYM
ejpam-5957	249	11	eur	eur	PROPN
ejpam-5957	249	12	.	.	PUNCT
ejpam-5957	250	1	j.	j.	PROPN
ejpam-5957	250	2	pure	pure	PROPN
ejpam-5957	250	3	appl	appl	PROPN
ejpam-5957	250	4	.	.	PROPN
ejpam-5957	250	5	math	math	PROPN
ejpam-5957	250	6	,	,	PUNCT
ejpam-5957	250	7	18	18	NUM
ejpam-5957	250	8	(	(	PUNCT
ejpam-5957	250	9	2	2	NUM
ejpam-5957	250	10	)	)	PUNCT
ejpam-5957	250	11	(	(	PUNCT
ejpam-5957	250	12	2025	2025	NUM
ejpam-5957	250	13	)	)	PUNCT
ejpam-5957	250	14	,	,	PUNCT
ejpam-5957	250	15	5957	5957	NUM
ejpam-5957	250	16	11	11	NUM
ejpam-5957	250	17	of	of	ADP
ejpam-5957	250	18	25	25	NUM
ejpam-5957	250	19	=	=	NOUN
ejpam-5957	250	20	∞∑	∞∑	NUM
ejpam-5957	250	21	n=0	n=0	NUM
ejpam-5957	250	22	(	(	PUNCT
ejpam-5957	250	23	y2hf	y2hf	X
ejpam-5957	250	24	(	(	PUNCT
ejpam-5957	250	25	j	j	NOUN
ejpam-5957	250	26	)	)	PUNCT
ejpam-5957	250	27	n	n	PROPN
ejpam-5957	250	28	(	(	PUNCT
ejpam-5957	250	29	x1	x1	PROPN
ejpam-5957	251	1	+	+	NUM
ejpam-5957	251	2	x2	x2	PROPN
ejpam-5957	251	3	,	,	PUNCT
ejpam-5957	251	4	y2	y2	PROPN
ejpam-5957	251	5	;	;	PUNCT
ejpam-5957	251	6	z1	z1	PROPN
ejpam-5957	251	7	+	+	CCONJ
ejpam-5957	251	8	z2)−	z2)−	X
ejpam-5957	251	9	y1hf	y1hf	X
ejpam-5957	251	10	(	(	PUNCT
ejpam-5957	251	11	j	j	NOUN
ejpam-5957	251	12	)	)	PUNCT
ejpam-5957	251	13	n	n	PROPN
ejpam-5957	251	14	(	(	PUNCT
ejpam-5957	251	15	x1	x1	PROPN
ejpam-5957	252	1	+	+	CCONJ
ejpam-5957	252	2	x2	x2	PROPN
ejpam-5957	252	3	,	,	PUNCT
ejpam-5957	252	4	y1	y1	NOUN
ejpam-5957	252	5	;	;	PUNCT
ejpam-5957	252	6	z1	z1	PROPN
ejpam-5957	252	7	+	+	CCONJ
ejpam-5957	252	8	z2	z2	NOUN
ejpam-5957	252	9	)	)	PUNCT
ejpam-5957	253	1	y2	y2	NOUN
ejpam-5957	253	2	−	−	PROPN
ejpam-5957	253	3	y1	y1	PROPN
ejpam-5957	253	4	)	)	PUNCT
ejpam-5957	253	5	tn	tn	PROPN
ejpam-5957	253	6	n	n	CCONJ
ejpam-5957	253	7	!	!	PUNCT
ejpam-5957	253	8	.	.	PUNCT
ejpam-5957	254	1	furthermore	furthermore	ADV
ejpam-5957	254	2	,	,	PUNCT
ejpam-5957	254	3	comparing	compare	VERB
ejpam-5957	254	4	the	the	DET
ejpam-5957	254	5	coefficients	coefficient	NOUN
ejpam-5957	254	6	of	of	ADP
ejpam-5957	254	7	tn	tn	NOUN
ejpam-5957	254	8	n	n	X
ejpam-5957	254	9	!	!	PUNCT
ejpam-5957	255	1	yields	yield	VERB
ejpam-5957	255	2	the	the	DET
ejpam-5957	255	3	desired	desire	VERB
ejpam-5957	255	4	result	result	NOUN
ejpam-5957	255	5	.	.	PUNCT
ejpam-5957	256	1	in	in	ADP
ejpam-5957	256	2	the	the	DET
ejpam-5957	256	3	next	next	ADJ
ejpam-5957	256	4	theorems	theorem	NOUN
ejpam-5957	256	5	,	,	PUNCT
ejpam-5957	256	6	we	we	PRON
ejpam-5957	256	7	derive	derive	VERB
ejpam-5957	256	8	some	some	DET
ejpam-5957	256	9	explicit	explicit	ADJ
ejpam-5957	256	10	formulae	formulae	NOUN
ejpam-5957	256	11	for	for	ADP
ejpam-5957	256	12	gould	gould	NOUN
ejpam-5957	256	13	-	-	PUNCT
ejpam-5957	256	14	hopper	hopper	NOUN
ejpam-5957	256	15	-	-	PUNCT
ejpam-5957	256	16	based	base	VERB
ejpam-5957	256	17	bivariate	bivariate	ADJ
ejpam-5957	256	18	fubini	fubini	ADJ
ejpam-5957	256	19	polynomials	polynomial	NOUN
ejpam-5957	256	20	.	.	PUNCT
ejpam-5957	257	1	theorem	theorem	VERB
ejpam-5957	257	2	13	13	NUM
ejpam-5957	257	3	.	.	PUNCT
ejpam-5957	258	1	for	for	ADP
ejpam-5957	258	2	n	n	PRON
ejpam-5957	258	3	≥	≥	NOUN
ejpam-5957	258	4	0	0	NUM
ejpam-5957	258	5	,	,	PUNCT
ejpam-5957	258	6	the	the	DET
ejpam-5957	258	7	following	follow	VERB
ejpam-5957	258	8	formula	formula	NOUN
ejpam-5957	258	9	for	for	ADP
ejpam-5957	258	10	gould	gould	NOUN
ejpam-5957	258	11	-	-	PUNCT
ejpam-5957	258	12	hopper	hopper	NOUN
ejpam-5957	258	13	-	-	PUNCT
ejpam-5957	258	14	based	base	VERB
ejpam-5957	258	15	bivariate	bivariate	ADJ
ejpam-5957	258	16	fubini	fubini	ADJ
ejpam-5957	258	17	polynomials	polynomial	NOUN
ejpam-5957	258	18	holds	hold	VERB
ejpam-5957	258	19	:	:	PUNCT
ejpam-5957	258	20	hf	hf	PROPN
ejpam-5957	258	21	(	(	PUNCT
ejpam-5957	258	22	j	j	NOUN
ejpam-5957	258	23	)	)	PUNCT
ejpam-5957	258	24	n	n	PROPN
ejpam-5957	258	25	(	(	PUNCT
ejpam-5957	258	26	x	x	X
ejpam-5957	258	27	,	,	PUNCT
ejpam-5957	258	28	y	y	PROPN
ejpam-5957	258	29	;	;	PUNCT
ejpam-5957	258	30	z	z	X
ejpam-5957	258	31	)	)	PUNCT
ejpam-5957	259	1	=	=	SYM
ejpam-5957	259	2	n∑	n∑	PROPN
ejpam-5957	259	3	m=0	m=0	PROPN
ejpam-5957	259	4	(	(	PUNCT
ejpam-5957	259	5	n	n	NOUN
ejpam-5957	259	6	m	m	NOUN
ejpam-5957	259	7	)	)	PUNCT
ejpam-5957	259	8	fn−m(y)h(j	fn−m(y)h(j	ADJ
ejpam-5957	259	9	)	)	PUNCT
ejpam-5957	259	10	m	m	VERB
ejpam-5957	259	11	(	(	PUNCT
ejpam-5957	259	12	x	x	X
ejpam-5957	259	13	,	,	PUNCT
ejpam-5957	259	14	z	z	NOUN
ejpam-5957	259	15	)	)	PUNCT
ejpam-5957	259	16	.	.	PUNCT
ejpam-5957	260	1	(	(	PUNCT
ejpam-5957	260	2	35	35	NUM
ejpam-5957	260	3	)	)	PUNCT
ejpam-5957	260	4	proof	proof	NOUN
ejpam-5957	260	5	.	.	PUNCT
ejpam-5957	261	1	by	by	ADP
ejpam-5957	261	2	definition	definition	NOUN
ejpam-5957	261	3	6	6	NUM
ejpam-5957	261	4	,	,	PUNCT
ejpam-5957	261	5	∞∑	∞∑	PRON
ejpam-5957	261	6	n=0	n=0	NUM
ejpam-5957	261	7	hf	hf	NOUN
ejpam-5957	261	8	(	(	PUNCT
ejpam-5957	261	9	j	j	NOUN
ejpam-5957	261	10	)	)	PUNCT
ejpam-5957	261	11	n	n	PROPN
ejpam-5957	261	12	(	(	PUNCT
ejpam-5957	261	13	x	x	X
ejpam-5957	261	14	,	,	PUNCT
ejpam-5957	261	15	y	y	PROPN
ejpam-5957	261	16	;	;	PUNCT
ejpam-5957	261	17	z	z	X
ejpam-5957	261	18	)	)	PUNCT
ejpam-5957	261	19	tn	tn	PROPN
ejpam-5957	261	20	n	n	NOUN
ejpam-5957	261	21	!	!	PUNCT
ejpam-5957	262	1	=	=	PUNCT
ejpam-5957	263	1	ext+ztj	ext+ztj	ADJ
ejpam-5957	263	2	1−	1−	NUM
ejpam-5957	263	3	y(et	y(et	NOUN
ejpam-5957	263	4	−	−	PROPN
ejpam-5957	263	5	1	1	NUM
ejpam-5957	263	6	)	)	PUNCT
ejpam-5957	263	7	=	=	SYM
ejpam-5957	263	8	1	1	NUM
ejpam-5957	263	9	1−	1−	NUM
ejpam-5957	263	10	y(et	y(et	NOUN
ejpam-5957	263	11	−	−	PROPN
ejpam-5957	263	12	1	1	NUM
ejpam-5957	263	13	)	)	PUNCT
ejpam-5957	263	14	ext+ztj	ext+ztj	PROPN
ejpam-5957	263	15	.	.	PUNCT
ejpam-5957	264	1	(	(	PUNCT
ejpam-5957	264	2	36	36	NUM
ejpam-5957	264	3	)	)	PUNCT
ejpam-5957	264	4	then	then	ADV
ejpam-5957	264	5	by	by	ADP
ejpam-5957	264	6	applying	apply	VERB
ejpam-5957	264	7	theorem	theorem	ADJ
ejpam-5957	264	8	5	5	NUM
ejpam-5957	264	9	and	and	CCONJ
ejpam-5957	264	10	definition	definition	NOUN
ejpam-5957	264	11	5	5	NUM
ejpam-5957	264	12	to	to	ADP
ejpam-5957	264	13	the	the	DET
ejpam-5957	264	14	right	right	ADJ
ejpam-5957	264	15	-	-	PUNCT
ejpam-5957	264	16	hand	hand	NOUN
ejpam-5957	264	17	side	side	NOUN
ejpam-5957	264	18	of	of	ADP
ejpam-5957	264	19	the	the	DET
ejpam-5957	264	20	equation	equation	NOUN
ejpam-5957	264	21	(	(	PUNCT
ejpam-5957	264	22	36	36	NUM
ejpam-5957	264	23	)	)	PUNCT
ejpam-5957	264	24	,	,	PUNCT
ejpam-5957	264	25	we	we	PRON
ejpam-5957	264	26	get	get	VERB
ejpam-5957	264	27	∞∑	∞∑	NUM
ejpam-5957	264	28	n=0	n=0	NUM
ejpam-5957	264	29	hf	hf	NOUN
ejpam-5957	264	30	(	(	PUNCT
ejpam-5957	264	31	j	j	NOUN
ejpam-5957	264	32	)	)	PUNCT
ejpam-5957	264	33	n	n	PROPN
ejpam-5957	264	34	(	(	PUNCT
ejpam-5957	264	35	x	x	X
ejpam-5957	264	36	,	,	PUNCT
ejpam-5957	264	37	y	y	PROPN
ejpam-5957	264	38	;	;	PUNCT
ejpam-5957	264	39	z	z	X
ejpam-5957	264	40	)	)	PUNCT
ejpam-5957	264	41	tn	tn	PROPN
ejpam-5957	264	42	n	n	NOUN
ejpam-5957	264	43	!	!	PUNCT
ejpam-5957	265	1	=	=	PUNCT
ejpam-5957	266	1	∞∑	∞∑	PRON
ejpam-5957	266	2	n=0	n=0	NUM
ejpam-5957	266	3	fn(y	fn(y	NUM
ejpam-5957	266	4	)	)	PUNCT
ejpam-5957	266	5	tn	tn	PROPN
ejpam-5957	266	6	n	n	CCONJ
ejpam-5957	266	7	!	!	PUNCT
ejpam-5957	267	1	∞∑	∞∑	NUM
ejpam-5957	267	2	m=0	m=0	PROPN
ejpam-5957	267	3	h(j	h(j	PROPN
ejpam-5957	267	4	)	)	PUNCT
ejpam-5957	267	5	m	m	PROPN
ejpam-5957	267	6	(	(	PUNCT
ejpam-5957	267	7	x	x	X
ejpam-5957	267	8	,	,	PUNCT
ejpam-5957	267	9	z	z	NOUN
ejpam-5957	267	10	)	)	PUNCT
ejpam-5957	267	11	tm	tm	PROPN
ejpam-5957	267	12	m	m	PROPN
ejpam-5957	267	13	!	!	PUNCT
ejpam-5957	267	14	.	.	PUNCT
ejpam-5957	268	1	moreover	moreover	ADV
ejpam-5957	268	2	,	,	PUNCT
ejpam-5957	268	3	applying	apply	VERB
ejpam-5957	268	4	theorem	theorem	NOUN
ejpam-5957	268	5	3	3	NUM
ejpam-5957	268	6	to	to	ADP
ejpam-5957	268	7	the	the	DET
ejpam-5957	268	8	above	above	ADJ
ejpam-5957	268	9	equation	equation	NOUN
ejpam-5957	268	10	we	we	PRON
ejpam-5957	268	11	have	have	VERB
ejpam-5957	268	12	∞∑	∞∑	NUM
ejpam-5957	268	13	n=0	n=0	NUM
ejpam-5957	268	14	hf	hf	NOUN
ejpam-5957	268	15	(	(	PUNCT
ejpam-5957	268	16	j	j	NOUN
ejpam-5957	268	17	)	)	PUNCT
ejpam-5957	268	18	n	n	PROPN
ejpam-5957	268	19	(	(	PUNCT
ejpam-5957	268	20	x	x	X
ejpam-5957	268	21	,	,	PUNCT
ejpam-5957	268	22	y	y	PROPN
ejpam-5957	268	23	;	;	PUNCT
ejpam-5957	268	24	z	z	X
ejpam-5957	268	25	)	)	PUNCT
ejpam-5957	268	26	tn	tn	PROPN
ejpam-5957	269	1	n	n	NOUN
ejpam-5957	269	2	!	!	PUNCT
ejpam-5957	270	1	=	=	NOUN
ejpam-5957	271	1	∞∑	∞∑	PRON
ejpam-5957	271	2	n=0	n=0	NUM
ejpam-5957	271	3	(	(	PUNCT
ejpam-5957	271	4	n∑	n∑	PROPN
ejpam-5957	271	5	m=0	m=0	PROPN
ejpam-5957	271	6	(	(	PUNCT
ejpam-5957	271	7	n	n	NOUN
ejpam-5957	271	8	m	m	NOUN
ejpam-5957	271	9	)	)	PUNCT
ejpam-5957	272	1	fn−m(y)h(j	fn−m(y)h(j	ADJ
ejpam-5957	272	2	)	)	PUNCT
ejpam-5957	272	3	m	m	VERB
ejpam-5957	272	4	(	(	PUNCT
ejpam-5957	272	5	x	x	X
ejpam-5957	272	6	,	,	PUNCT
ejpam-5957	272	7	z	z	NOUN
ejpam-5957	272	8	)	)	PUNCT
ejpam-5957	272	9	)	)	PUNCT
ejpam-5957	272	10	tn	tn	PROPN
ejpam-5957	273	1	n	n	PROPN
ejpam-5957	273	2	!	!	PUNCT
ejpam-5957	273	3	.	.	PUNCT
ejpam-5957	274	1	finally	finally	ADV
ejpam-5957	274	2	,	,	PUNCT
ejpam-5957	274	3	comparing	compare	VERB
ejpam-5957	274	4	the	the	DET
ejpam-5957	274	5	coefficients	coefficient	NOUN
ejpam-5957	274	6	of	of	ADP
ejpam-5957	274	7	tn	tn	NOUN
ejpam-5957	274	8	n	n	ADP
ejpam-5957	274	9	!	!	PUNCT
ejpam-5957	275	1	yields	yield	NOUN
ejpam-5957	275	2	to	to	ADP
ejpam-5957	275	3	the	the	DET
ejpam-5957	275	4	desired	desire	VERB
ejpam-5957	275	5	result	result	NOUN
ejpam-5957	275	6	.	.	PUNCT
ejpam-5957	276	1	remark	remark	VERB
ejpam-5957	276	2	4	4	NUM
ejpam-5957	276	3	.	.	PUNCT
ejpam-5957	277	1	when	when	SCONJ
ejpam-5957	277	2	j	j	PROPN
ejpam-5957	277	3	=	=	NOUN
ejpam-5957	277	4	2	2	NUM
ejpam-5957	277	5	in	in	ADP
ejpam-5957	277	6	theorem	theorem	NOUN
ejpam-5957	277	7	13	13	NUM
ejpam-5957	277	8	,	,	PUNCT
ejpam-5957	277	9	the	the	DET
ejpam-5957	277	10	following	follow	VERB
ejpam-5957	277	11	formula	formula	NOUN
ejpam-5957	277	12	involving	involve	VERB
ejpam-5957	277	13	hermite	hermite	ADJ
ejpam-5957	277	14	-	-	PUNCT
ejpam-5957	277	15	fubini	fubini	ADJ
ejpam-5957	277	16	polynomials	polynomial	NOUN
ejpam-5957	277	17	holds	hold	VERB
ejpam-5957	277	18	:	:	PUNCT
ejpam-5957	278	1	hfn(x	hfn(x	PROPN
ejpam-5957	278	2	,	,	PUNCT
ejpam-5957	278	3	y	y	PROPN
ejpam-5957	278	4	;	;	PUNCT
ejpam-5957	278	5	z	z	X
ejpam-5957	278	6	)	)	PUNCT
ejpam-5957	278	7	=	=	SYM
ejpam-5957	279	1	n∑	n∑	PROPN
ejpam-5957	279	2	m=0	m=0	PROPN
ejpam-5957	279	3	(	(	PUNCT
ejpam-5957	279	4	n	n	NOUN
ejpam-5957	279	5	m	m	PROPN
ejpam-5957	279	6	)	)	PUNCT
ejpam-5957	280	1	fn−m(y)hm(x	fn−m(y)hm(x	PROPN
ejpam-5957	280	2	,	,	PUNCT
ejpam-5957	280	3	z	z	NOUN
ejpam-5957	280	4	)	)	PUNCT
ejpam-5957	280	5	.	.	PUNCT
ejpam-5957	281	1	theorem	theorem	VERB
ejpam-5957	281	2	14	14	NUM
ejpam-5957	281	3	.	.	PUNCT
ejpam-5957	282	1	for	for	ADP
ejpam-5957	282	2	n	n	PRON
ejpam-5957	282	3	≥	≥	NOUN
ejpam-5957	282	4	0	0	NUM
ejpam-5957	282	5	and	and	CCONJ
ejpam-5957	282	6	p	p	X
ejpam-5957	282	7	,	,	PUNCT
ejpam-5957	282	8	q	q	PROPN
ejpam-5957	282	9	∈	∈	PROPN
ejpam-5957	282	10	r	r	NOUN
ejpam-5957	282	11	,	,	PUNCT
ejpam-5957	282	12	the	the	DET
ejpam-5957	282	13	following	follow	VERB
ejpam-5957	282	14	summation	summation	NOUN
ejpam-5957	282	15	formula	formula	NOUN
ejpam-5957	282	16	for	for	ADP
ejpam-5957	282	17	gouldhopper	gouldhopper	ADV
ejpam-5957	282	18	-	-	PUNCT
ejpam-5957	282	19	based	base	VERB
ejpam-5957	282	20	bivariate	bivariate	ADJ
ejpam-5957	282	21	fubini	fubini	ADJ
ejpam-5957	282	22	polynomials	polynomial	NOUN
ejpam-5957	282	23	holds	hold	VERB
ejpam-5957	282	24	:	:	PUNCT
ejpam-5957	282	25	hf	hf	PROPN
ejpam-5957	282	26	(	(	PUNCT
ejpam-5957	282	27	j	j	NOUN
ejpam-5957	282	28	)	)	PUNCT
ejpam-5957	282	29	n	n	PROPN
ejpam-5957	282	30	(	(	PUNCT
ejpam-5957	282	31	px	px	PROPN
ejpam-5957	282	32	,	,	PUNCT
ejpam-5957	282	33	y	y	PROPN
ejpam-5957	282	34	;	;	PUNCT
ejpam-5957	282	35	qz	qz	NOUN
ejpam-5957	282	36	)	)	PUNCT
ejpam-5957	282	37	=	=	PUNCT
ejpam-5957	282	38	n∑	n∑	NOUN
ejpam-5957	282	39	k=0	k=0	PROPN
ejpam-5957	283	1	[	[	PUNCT
ejpam-5957	283	2	k	k	X
ejpam-5957	283	3	j	j	PROPN
ejpam-5957	283	4	]	]	X
ejpam-5957	283	5	∑	∑	PUNCT
ejpam-5957	283	6	r=0	r=0	PROPN
ejpam-5957	283	7	(	(	PUNCT
ejpam-5957	283	8	n)k	n)k	X
ejpam-5957	283	9	r!(k	r!(k	NUM
ejpam-5957	283	10	−	−	PROPN
ejpam-5957	283	11	jr	jr	PROPN
ejpam-5957	283	12	)	)	PUNCT
ejpam-5957	283	13	!	!	PUNCT
ejpam-5957	284	1	hf	hf	NOUN
ejpam-5957	284	2	(	(	PUNCT
ejpam-5957	284	3	j	j	NOUN
ejpam-5957	284	4	)	)	PUNCT
ejpam-5957	284	5	n−k(x	n−k(x	PROPN
ejpam-5957	284	6	,	,	PUNCT
ejpam-5957	284	7	y	y	NOUN
ejpam-5957	284	8	;	;	PUNCT
ejpam-5957	284	9	z)(p−	z)(p−	NUM
ejpam-5957	284	10	1)k−jr(q	1)k−jr(q	NUM
ejpam-5957	284	11	−	−	PROPN
ejpam-5957	284	12	1)rzrxk−jr	1)rzrxk−jr	PROPN
ejpam-5957	284	13	.	.	PUNCT
ejpam-5957	285	1	(	(	PUNCT
ejpam-5957	285	2	37	37	NUM
ejpam-5957	285	3	)	)	PUNCT
ejpam-5957	285	4	r.	r.	PROPN
ejpam-5957	285	5	g.	g.	PROPN
ejpam-5957	285	6	bago	bago	PROPN
ejpam-5957	285	7	,	,	PUNCT
ejpam-5957	285	8	n.	n.	PROPN
ejpam-5957	285	9	s.	s.	PROPN
ejpam-5957	285	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	285	11	/	/	SYM
ejpam-5957	285	12	eur	eur	PROPN
ejpam-5957	285	13	.	.	PUNCT
ejpam-5957	286	1	j.	j.	PROPN
ejpam-5957	286	2	pure	pure	PROPN
ejpam-5957	286	3	appl	appl	PROPN
ejpam-5957	286	4	.	.	PROPN
ejpam-5957	286	5	math	math	PROPN
ejpam-5957	286	6	,	,	PUNCT
ejpam-5957	286	7	18	18	NUM
ejpam-5957	286	8	(	(	PUNCT
ejpam-5957	286	9	2	2	NUM
ejpam-5957	286	10	)	)	PUNCT
ejpam-5957	286	11	(	(	PUNCT
ejpam-5957	286	12	2025	2025	NUM
ejpam-5957	286	13	)	)	PUNCT
ejpam-5957	286	14	,	,	PUNCT
ejpam-5957	286	15	5957	5957	NUM
ejpam-5957	286	16	12	12	NUM
ejpam-5957	286	17	of	of	ADP
ejpam-5957	286	18	25	25	NUM
ejpam-5957	286	19	proof	proof	NOUN
ejpam-5957	286	20	.	.	PUNCT
ejpam-5957	287	1	by	by	ADP
ejpam-5957	287	2	applying	apply	VERB
ejpam-5957	287	3	definition	definition	NOUN
ejpam-5957	287	4	6	6	NUM
ejpam-5957	287	5	∞∑	∞∑	PROPN
ejpam-5957	287	6	n=0	n=0	NUM
ejpam-5957	287	7	hf	hf	NOUN
ejpam-5957	287	8	(	(	PUNCT
ejpam-5957	287	9	j	j	NOUN
ejpam-5957	287	10	)	)	PUNCT
ejpam-5957	287	11	n	n	PROPN
ejpam-5957	287	12	(	(	PUNCT
ejpam-5957	287	13	px	px	PROPN
ejpam-5957	287	14	,	,	PUNCT
ejpam-5957	287	15	y	y	PROPN
ejpam-5957	287	16	;	;	PUNCT
ejpam-5957	287	17	qz	qz	PROPN
ejpam-5957	287	18	)	)	PUNCT
ejpam-5957	287	19	tn	tn	PROPN
ejpam-5957	287	20	n	n	PROPN
ejpam-5957	287	21	!	!	PUNCT
ejpam-5957	288	1	=	=	PUNCT
ejpam-5957	288	2	epxt+qztj	epxt+qztj	PROPN
ejpam-5957	288	3	1−	1−	NUM
ejpam-5957	288	4	y(et	y(et	NOUN
ejpam-5957	288	5	−	−	PROPN
ejpam-5957	288	6	1	1	NUM
ejpam-5957	288	7	)	)	PUNCT
ejpam-5957	288	8	=	=	SYM
ejpam-5957	289	1	ext+ztj	ext+ztj	ADJ
ejpam-5957	289	2	1−	1−	NUM
ejpam-5957	289	3	y(et	y(et	NOUN
ejpam-5957	289	4	−	−	PROPN
ejpam-5957	289	5	1	1	NUM
ejpam-5957	289	6	)	)	PUNCT
ejpam-5957	289	7	·	·	PUNCT
ejpam-5957	290	1	e(p−1)xt+(q−1)ztj	e(p−1)xt+(q−1)ztj	VERB
ejpam-5957	290	2	.	.	PUNCT
ejpam-5957	291	1	then	then	ADV
ejpam-5957	291	2	,	,	PUNCT
ejpam-5957	291	3	applying	apply	VERB
ejpam-5957	291	4	definition	definition	NOUN
ejpam-5957	291	5	6	6	NUM
ejpam-5957	291	6	again	again	ADV
ejpam-5957	291	7	and	and	CCONJ
ejpam-5957	291	8	definition	definition	NOUN
ejpam-5957	291	9	5	5	NUM
ejpam-5957	291	10	to	to	ADP
ejpam-5957	291	11	the	the	DET
ejpam-5957	291	12	right	right	ADJ
ejpam-5957	291	13	-	-	PUNCT
ejpam-5957	291	14	hand	hand	NOUN
ejpam-5957	291	15	side	side	NOUN
ejpam-5957	291	16	of	of	ADP
ejpam-5957	291	17	the	the	DET
ejpam-5957	291	18	above	above	ADJ
ejpam-5957	291	19	equation	equation	NOUN
ejpam-5957	291	20	we	we	PRON
ejpam-5957	291	21	have	have	VERB
ejpam-5957	291	22	∞∑	∞∑	NUM
ejpam-5957	291	23	n=0	n=0	NUM
ejpam-5957	291	24	hf	hf	NOUN
ejpam-5957	291	25	(	(	PUNCT
ejpam-5957	291	26	j	j	NOUN
ejpam-5957	291	27	)	)	PUNCT
ejpam-5957	291	28	n	n	PROPN
ejpam-5957	291	29	(	(	PUNCT
ejpam-5957	291	30	px	px	PROPN
ejpam-5957	291	31	,	,	PUNCT
ejpam-5957	291	32	y	y	PROPN
ejpam-5957	291	33	;	;	PUNCT
ejpam-5957	291	34	qz	qz	PROPN
ejpam-5957	291	35	)	)	PUNCT
ejpam-5957	291	36	tn	tn	PROPN
ejpam-5957	291	37	n	n	PROPN
ejpam-5957	291	38	!	!	PUNCT
ejpam-5957	292	1	=	=	NOUN
ejpam-5957	293	1	∞∑	∞∑	DET
ejpam-5957	293	2	n=0	n=0	NUM
ejpam-5957	293	3	hf	hf	NOUN
ejpam-5957	293	4	(	(	PUNCT
ejpam-5957	293	5	j	j	NOUN
ejpam-5957	293	6	)	)	PUNCT
ejpam-5957	293	7	n	n	PROPN
ejpam-5957	293	8	(	(	PUNCT
ejpam-5957	293	9	x	x	X
ejpam-5957	293	10	,	,	PUNCT
ejpam-5957	293	11	y	y	PROPN
ejpam-5957	293	12	;	;	PUNCT
ejpam-5957	293	13	z	z	X
ejpam-5957	293	14	)	)	PUNCT
ejpam-5957	293	15	tn	tn	PROPN
ejpam-5957	293	16	n	n	CCONJ
ejpam-5957	293	17	!	!	PUNCT
ejpam-5957	293	18	·	·	PUNCT
ejpam-5957	294	1	∞∑	∞∑	PRON
ejpam-5957	294	2	n=0	n=0	NUM
ejpam-5957	294	3	h(j	h(j	NOUN
ejpam-5957	294	4	)	)	PUNCT
ejpam-5957	294	5	n	n	CCONJ
ejpam-5957	294	6	(	(	PUNCT
ejpam-5957	294	7	(	(	PUNCT
ejpam-5957	294	8	p−	p−	NOUN
ejpam-5957	294	9	1)x	1)x	NUM
ejpam-5957	294	10	,	,	PUNCT
ejpam-5957	294	11	(	(	PUNCT
ejpam-5957	294	12	q	q	NOUN
ejpam-5957	294	13	−	−	PROPN
ejpam-5957	294	14	1)z	1)z	NUM
ejpam-5957	294	15	)	)	PUNCT
ejpam-5957	294	16	tn	tn	PROPN
ejpam-5957	294	17	n	n	PROPN
ejpam-5957	294	18	!	!	PUNCT
ejpam-5957	294	19	.	.	PUNCT
ejpam-5957	295	1	(	(	PUNCT
ejpam-5957	295	2	38	38	NUM
ejpam-5957	295	3	)	)	PUNCT
ejpam-5957	295	4	note	note	VERB
ejpam-5957	295	5	that	that	SCONJ
ejpam-5957	295	6	,	,	PUNCT
ejpam-5957	295	7	by	by	ADP
ejpam-5957	295	8	applying	apply	VERB
ejpam-5957	295	9	theorem	theorem	ADJ
ejpam-5957	295	10	7	7	NUM
ejpam-5957	295	11	∞∑	∞∑	NUM
ejpam-5957	295	12	n=0	n=0	NUM
ejpam-5957	295	13	h(j	h(j	NOUN
ejpam-5957	295	14	)	)	PUNCT
ejpam-5957	295	15	n	n	CCONJ
ejpam-5957	295	16	(	(	PUNCT
ejpam-5957	295	17	(	(	PUNCT
ejpam-5957	295	18	p−	p−	NOUN
ejpam-5957	295	19	1)x	1)x	NUM
ejpam-5957	295	20	,	,	PUNCT
ejpam-5957	295	21	(	(	PUNCT
ejpam-5957	295	22	q	q	NOUN
ejpam-5957	295	23	−	−	PROPN
ejpam-5957	295	24	1)z	1)z	NUM
ejpam-5957	295	25	)	)	PUNCT
ejpam-5957	295	26	tn	tn	PROPN
ejpam-5957	295	27	n	n	ADV
ejpam-5957	295	28	!	!	PUNCT
ejpam-5957	295	29	=	=	PUNCT
ejpam-5957	296	1	∞∑	∞∑	PRON
ejpam-5957	296	2	n=0	n=0	NUM
ejpam-5957	296	3	n	n	X
ejpam-5957	296	4	!	!	PUNCT
ejpam-5957	297	1	[	[	PUNCT
ejpam-5957	297	2	n	n	X
ejpam-5957	297	3	j	j	NOUN
ejpam-5957	297	4	]	]	PUNCT
ejpam-5957	297	5	∑	∑	PUNCT
ejpam-5957	297	6	r=0	r=0	PROPN
ejpam-5957	297	7	(	(	PUNCT
ejpam-5957	297	8	(	(	PUNCT
ejpam-5957	297	9	q	q	NOUN
ejpam-5957	297	10	−	−	PROPN
ejpam-5957	297	11	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	297	12	1)x)n−jr	1)x)n−jr	NUM
ejpam-5957	297	13	r!(n−	r!(n−	ADJ
ejpam-5957	297	14	jr	jr	PROPN
ejpam-5957	297	15	)	)	PUNCT
ejpam-5957	297	16	!	!	PUNCT
ejpam-5957	298	1	tn	tn	PROPN
ejpam-5957	298	2	n	n	CCONJ
ejpam-5957	298	3	!	!	PUNCT
ejpam-5957	299	1	=	=	NOUN
ejpam-5957	300	1	∞∑	∞∑	NUM
ejpam-5957	300	2	n=0	n=0	PUNCT
ejpam-5957	300	3	[	[	PUNCT
ejpam-5957	300	4	n	n	PRON
ejpam-5957	300	5	j	j	NOUN
ejpam-5957	300	6	]	]	X
ejpam-5957	300	7	∑	∑	PUNCT
ejpam-5957	300	8	r=0	r=0	PROPN
ejpam-5957	300	9	n!((q	n!((q	ADP
ejpam-5957	300	10	−	−	PROPN
ejpam-5957	300	11	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	300	12	1)x)n−jr	1)x)n−jr	NUM
ejpam-5957	300	13	r!(n−	r!(n−	ADJ
ejpam-5957	300	14	jr	jr	PROPN
ejpam-5957	300	15	)	)	PUNCT
ejpam-5957	300	16	!	!	PUNCT
ejpam-5957	301	1	tn	tn	PROPN
ejpam-5957	301	2	n	n	CCONJ
ejpam-5957	301	3	!	!	PUNCT
ejpam-5957	301	4	.	.	PUNCT
ejpam-5957	302	1	substituting	substitute	VERB
ejpam-5957	302	2	this	this	PRON
ejpam-5957	302	3	to	to	ADP
ejpam-5957	302	4	equation	equation	NOUN
ejpam-5957	302	5	(	(	PUNCT
ejpam-5957	302	6	38	38	NUM
ejpam-5957	302	7	)	)	PUNCT
ejpam-5957	302	8	,	,	PUNCT
ejpam-5957	302	9	gives	give	VERB
ejpam-5957	302	10	∞∑	∞∑	DET
ejpam-5957	302	11	n=0	n=0	NUM
ejpam-5957	302	12	hf	hf	NOUN
ejpam-5957	302	13	(	(	PUNCT
ejpam-5957	302	14	j	j	NOUN
ejpam-5957	302	15	)	)	PUNCT
ejpam-5957	302	16	n	n	PROPN
ejpam-5957	302	17	(	(	PUNCT
ejpam-5957	302	18	px	px	PROPN
ejpam-5957	302	19	,	,	PUNCT
ejpam-5957	302	20	y	y	PROPN
ejpam-5957	302	21	;	;	PUNCT
ejpam-5957	302	22	qz	qz	PROPN
ejpam-5957	302	23	)	)	PUNCT
ejpam-5957	302	24	tn	tn	PROPN
ejpam-5957	302	25	n	n	PROPN
ejpam-5957	302	26	!	!	PUNCT
ejpam-5957	303	1	=	=	NOUN
ejpam-5957	304	1	∞∑	∞∑	DET
ejpam-5957	304	2	n=0	n=0	NUM
ejpam-5957	304	3	hf	hf	NOUN
ejpam-5957	304	4	(	(	PUNCT
ejpam-5957	304	5	j	j	NOUN
ejpam-5957	304	6	)	)	PUNCT
ejpam-5957	304	7	n	n	PROPN
ejpam-5957	304	8	(	(	PUNCT
ejpam-5957	304	9	x	x	X
ejpam-5957	304	10	,	,	PUNCT
ejpam-5957	304	11	y	y	PROPN
ejpam-5957	304	12	;	;	PUNCT
ejpam-5957	304	13	z	z	X
ejpam-5957	304	14	)	)	PUNCT
ejpam-5957	304	15	tn	tn	PROPN
ejpam-5957	304	16	n	n	CCONJ
ejpam-5957	304	17	!	!	PUNCT
ejpam-5957	304	18	·	·	PUNCT
ejpam-5957	305	1	∞∑	∞∑	NUM
ejpam-5957	305	2	n=0	n=0	PUNCT
ejpam-5957	305	3	[	[	PUNCT
ejpam-5957	305	4	n	n	PRON
ejpam-5957	305	5	j	j	NOUN
ejpam-5957	305	6	]	]	X
ejpam-5957	305	7	∑	∑	PUNCT
ejpam-5957	305	8	r=0	r=0	PROPN
ejpam-5957	305	9	n!((q	n!((q	ADP
ejpam-5957	305	10	−	−	PROPN
ejpam-5957	305	11	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	305	12	1)x)n−jr	1)x)n−jr	NUM
ejpam-5957	305	13	r!(n−	r!(n−	ADJ
ejpam-5957	305	14	jr	jr	PROPN
ejpam-5957	305	15	)	)	PUNCT
ejpam-5957	305	16	!	!	PUNCT
ejpam-5957	306	1	tn	tn	PROPN
ejpam-5957	306	2	n	n	PROPN
ejpam-5957	306	3	!	!	PROPN
ejpam-5957	306	4	.	.	PUNCT
ejpam-5957	307	1	thus	thus	ADV
ejpam-5957	307	2	,	,	PUNCT
ejpam-5957	307	3	by	by	ADP
ejpam-5957	307	4	applying	apply	VERB
ejpam-5957	307	5	theorem	theorem	NOUN
ejpam-5957	307	6	3	3	NUM
ejpam-5957	307	7	to	to	ADP
ejpam-5957	307	8	the	the	DET
ejpam-5957	307	9	right	right	ADJ
ejpam-5957	307	10	-	-	PUNCT
ejpam-5957	307	11	hand	hand	NOUN
ejpam-5957	307	12	side	side	NOUN
ejpam-5957	307	13	of	of	ADP
ejpam-5957	307	14	the	the	DET
ejpam-5957	307	15	above	above	ADJ
ejpam-5957	307	16	equation	equation	NOUN
ejpam-5957	307	17	we	we	PRON
ejpam-5957	307	18	get	get	VERB
ejpam-5957	307	19	∞∑	∞∑	NUM
ejpam-5957	307	20	n=0	n=0	NUM
ejpam-5957	307	21	hf	hf	NOUN
ejpam-5957	307	22	(	(	PUNCT
ejpam-5957	307	23	j	j	NOUN
ejpam-5957	307	24	)	)	PUNCT
ejpam-5957	307	25	n	n	PROPN
ejpam-5957	307	26	(	(	PUNCT
ejpam-5957	307	27	px	px	PROPN
ejpam-5957	307	28	,	,	PUNCT
ejpam-5957	307	29	y	y	PROPN
ejpam-5957	307	30	;	;	PUNCT
ejpam-5957	307	31	qz	qz	PROPN
ejpam-5957	307	32	)	)	PUNCT
ejpam-5957	307	33	tn	tn	PROPN
ejpam-5957	307	34	n	n	PROPN
ejpam-5957	307	35	!	!	PUNCT
ejpam-5957	308	1	=	=	NOUN
ejpam-5957	309	1	∞∑	∞∑	PRON
ejpam-5957	309	2	n=0	n=0	NUM
ejpam-5957	309	3			NOUN
ejpam-5957	309	4	n∑	n∑	NOUN
ejpam-5957	309	5	k=0	k=0	PROPN
ejpam-5957	310	1	[	[	PUNCT
ejpam-5957	310	2	k	k	X
ejpam-5957	310	3	j	j	PROPN
ejpam-5957	310	4	]	]	X
ejpam-5957	310	5	∑	∑	PROPN
ejpam-5957	310	6	r=0	r=0	PROPN
ejpam-5957	310	7	(	(	PUNCT
ejpam-5957	310	8	n	n	NOUN
ejpam-5957	310	9	k	k	NOUN
ejpam-5957	310	10	)	)	PUNCT
ejpam-5957	310	11	hf	hf	NOUN
ejpam-5957	310	12	(	(	PUNCT
ejpam-5957	310	13	j	j	NOUN
ejpam-5957	310	14	)	)	PUNCT
ejpam-5957	310	15	n−k(x	n−k(x	PROPN
ejpam-5957	310	16	,	,	PUNCT
ejpam-5957	310	17	y	y	PROPN
ejpam-5957	310	18	;	;	PUNCT
ejpam-5957	310	19	z	z	X
ejpam-5957	310	20	)	)	PUNCT
ejpam-5957	311	1	k!((q	k!((q	PROPN
ejpam-5957	311	2	−	−	PROPN
ejpam-5957	312	1	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	312	2	1)x)k−jr	1)x)k−jr	PROPN
ejpam-5957	312	3	r!(k	r!(k	NUM
ejpam-5957	312	4	−	−	PROPN
ejpam-5957	312	5	jr	jr	PROPN
ejpam-5957	312	6	)	)	PUNCT
ejpam-5957	312	7	!	!	PUNCT
ejpam-5957	313	1			PROPN
ejpam-5957	313	2	tn	tn	PROPN
ejpam-5957	313	3	n	n	CCONJ
ejpam-5957	313	4	!	!	PUNCT
ejpam-5957	314	1	=	=	NOUN
ejpam-5957	315	1	∞∑	∞∑	PRON
ejpam-5957	315	2	n=0	n=0	NUM
ejpam-5957	315	3			NOUN
ejpam-5957	315	4	n∑	n∑	NOUN
ejpam-5957	315	5	k=0	k=0	PROPN
ejpam-5957	316	1	[	[	PUNCT
ejpam-5957	316	2	k	k	X
ejpam-5957	316	3	j	j	PROPN
ejpam-5957	316	4	]	]	X
ejpam-5957	316	5	∑	∑	PUNCT
ejpam-5957	316	6	r=0	r=0	PROPN
ejpam-5957	316	7	n	n	PRON
ejpam-5957	316	8	!	!	PUNCT
ejpam-5957	316	9	k!(n−	k!(n−	PROPN
ejpam-5957	317	1	k	k	X
ejpam-5957	317	2	)	)	PUNCT
ejpam-5957	317	3	!	!	PUNCT
ejpam-5957	318	1	hf	hf	NOUN
ejpam-5957	318	2	(	(	PUNCT
ejpam-5957	318	3	j	j	NOUN
ejpam-5957	318	4	)	)	PUNCT
ejpam-5957	318	5	n−k(x	n−k(x	PROPN
ejpam-5957	318	6	,	,	PUNCT
ejpam-5957	318	7	y	y	PROPN
ejpam-5957	318	8	;	;	PUNCT
ejpam-5957	318	9	z	z	X
ejpam-5957	318	10	)	)	PUNCT
ejpam-5957	319	1	k!((q	k!((q	PROPN
ejpam-5957	319	2	−	−	PROPN
ejpam-5957	320	1	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	320	2	1)x)k−jr	1)x)k−jr	PROPN
ejpam-5957	320	3	r!(k	r!(k	NUM
ejpam-5957	320	4	−	−	PROPN
ejpam-5957	320	5	jr	jr	PROPN
ejpam-5957	320	6	)	)	PUNCT
ejpam-5957	320	7	!	!	PUNCT
ejpam-5957	321	1			PROPN
ejpam-5957	321	2	tn	tn	PROPN
ejpam-5957	321	3	n	n	CCONJ
ejpam-5957	321	4	!	!	PUNCT
ejpam-5957	322	1	=	=	NOUN
ejpam-5957	323	1	∞∑	∞∑	PRON
ejpam-5957	323	2	n=0	n=0	NUM
ejpam-5957	323	3			NOUN
ejpam-5957	323	4	n∑	n∑	NOUN
ejpam-5957	323	5	k=0	k=0	PROPN
ejpam-5957	324	1	[	[	PUNCT
ejpam-5957	324	2	k	k	X
ejpam-5957	324	3	j	j	PROPN
ejpam-5957	324	4	]	]	X
ejpam-5957	324	5	∑	∑	PUNCT
ejpam-5957	324	6	r=0	r=0	PROPN
ejpam-5957	324	7	n	n	PRON
ejpam-5957	324	8	!	!	PUNCT
ejpam-5957	325	1	(	(	PUNCT
ejpam-5957	325	2	n−	n−	NOUN
ejpam-5957	325	3	k	k	NOUN
ejpam-5957	325	4	)	)	PUNCT
ejpam-5957	325	5	!	!	PUNCT
ejpam-5957	326	1	hf	hf	NOUN
ejpam-5957	326	2	(	(	PUNCT
ejpam-5957	326	3	j	j	NOUN
ejpam-5957	326	4	)	)	PUNCT
ejpam-5957	326	5	n−k(x	n−k(x	PROPN
ejpam-5957	326	6	,	,	PUNCT
ejpam-5957	326	7	y	y	PROPN
ejpam-5957	326	8	;	;	PUNCT
ejpam-5957	326	9	z	z	X
ejpam-5957	326	10	)	)	PUNCT
ejpam-5957	326	11	(	(	PUNCT
ejpam-5957	326	12	(	(	PUNCT
ejpam-5957	326	13	q	q	NOUN
ejpam-5957	326	14	−	−	PROPN
ejpam-5957	326	15	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	326	16	1)x)k−jr	1)x)k−jr	PROPN
ejpam-5957	326	17	r!(k	r!(k	NUM
ejpam-5957	326	18	−	−	PROPN
ejpam-5957	326	19	jr	jr	PROPN
ejpam-5957	326	20	)	)	PUNCT
ejpam-5957	326	21	!	!	PUNCT
ejpam-5957	327	1			PROPN
ejpam-5957	327	2	tn	tn	PROPN
ejpam-5957	327	3	n	n	CCONJ
ejpam-5957	327	4	!	!	PUNCT
ejpam-5957	328	1	=	=	NOUN
ejpam-5957	329	1	∞∑	∞∑	PRON
ejpam-5957	329	2	n=0	n=0	NUM
ejpam-5957	329	3			NOUN
ejpam-5957	329	4	n∑	n∑	NOUN
ejpam-5957	329	5	k=0	k=0	PROPN
ejpam-5957	330	1	[	[	PUNCT
ejpam-5957	330	2	k	k	X
ejpam-5957	330	3	j	j	PROPN
ejpam-5957	330	4	]	]	X
ejpam-5957	330	5	∑	∑	PUNCT
ejpam-5957	330	6	r=0	r=0	PROPN
ejpam-5957	330	7	(	(	PUNCT
ejpam-5957	330	8	n)khf	n)khf	PROPN
ejpam-5957	330	9	(	(	PUNCT
ejpam-5957	330	10	j	j	NOUN
ejpam-5957	330	11	)	)	PUNCT
ejpam-5957	330	12	n−k(x	n−k(x	PROPN
ejpam-5957	330	13	,	,	PUNCT
ejpam-5957	330	14	y	y	PROPN
ejpam-5957	330	15	;	;	PUNCT
ejpam-5957	330	16	z	z	X
ejpam-5957	330	17	)	)	PUNCT
ejpam-5957	330	18	(	(	PUNCT
ejpam-5957	330	19	(	(	PUNCT
ejpam-5957	330	20	q	q	NOUN
ejpam-5957	330	21	−	−	PROPN
ejpam-5957	330	22	1)z)r((p−	1)z)r((p−	NUM
ejpam-5957	330	23	1)x)k−jr	1)x)k−jr	PROPN
ejpam-5957	330	24	r!(k	r!(k	NUM
ejpam-5957	330	25	−	−	PROPN
ejpam-5957	330	26	jr	jr	PROPN
ejpam-5957	330	27	)	)	PUNCT
ejpam-5957	330	28	!	!	PUNCT
ejpam-5957	331	1			PROPN
ejpam-5957	331	2	tn	tn	PROPN
ejpam-5957	331	3	n	n	PROPN
ejpam-5957	331	4	!	!	PUNCT
ejpam-5957	331	5	r.	r.	PROPN
ejpam-5957	331	6	g.	g.	PROPN
ejpam-5957	331	7	bago	bago	PROPN
ejpam-5957	331	8	,	,	PUNCT
ejpam-5957	331	9	n.	n.	PROPN
ejpam-5957	331	10	s.	s.	PROPN
ejpam-5957	331	11	abdulcarim	abdulcarim	PROPN
ejpam-5957	331	12	/	/	SYM
ejpam-5957	331	13	eur	eur	PROPN
ejpam-5957	331	14	.	.	PUNCT
ejpam-5957	332	1	j.	j.	PROPN
ejpam-5957	332	2	pure	pure	PROPN
ejpam-5957	332	3	appl	appl	PROPN
ejpam-5957	332	4	.	.	PROPN
ejpam-5957	332	5	math	math	PROPN
ejpam-5957	332	6	,	,	PUNCT
ejpam-5957	332	7	18	18	NUM
ejpam-5957	332	8	(	(	PUNCT
ejpam-5957	332	9	2	2	NUM
ejpam-5957	332	10	)	)	PUNCT
ejpam-5957	332	11	(	(	PUNCT
ejpam-5957	332	12	2025	2025	NUM
ejpam-5957	332	13	)	)	PUNCT
ejpam-5957	332	14	,	,	PUNCT
ejpam-5957	332	15	5957	5957	NUM
ejpam-5957	332	16	13	13	NUM
ejpam-5957	332	17	of	of	ADP
ejpam-5957	332	18	25	25	NUM
ejpam-5957	332	19	=	=	NOUN
ejpam-5957	332	20	∞∑	∞∑	NUM
ejpam-5957	332	21	n=0	n=0	NUM
ejpam-5957	332	22			NOUN
ejpam-5957	332	23	n∑	n∑	NOUN
ejpam-5957	332	24	k=0	k=0	PROPN
ejpam-5957	333	1	[	[	PUNCT
ejpam-5957	333	2	k	k	X
ejpam-5957	333	3	j	j	PROPN
ejpam-5957	333	4	]	]	X
ejpam-5957	333	5	∑	∑	PUNCT
ejpam-5957	333	6	r=0	r=0	PROPN
ejpam-5957	333	7	(	(	PUNCT
ejpam-5957	333	8	n)k	n)k	X
ejpam-5957	333	9	r!(k	r!(k	NUM
ejpam-5957	333	10	−	−	PROPN
ejpam-5957	333	11	jr	jr	PROPN
ejpam-5957	333	12	)	)	PUNCT
ejpam-5957	333	13	!	!	PUNCT
ejpam-5957	334	1	hf	hf	NOUN
ejpam-5957	334	2	(	(	PUNCT
ejpam-5957	334	3	j	j	NOUN
ejpam-5957	334	4	)	)	PUNCT
ejpam-5957	334	5	n−k(x	n−k(x	PROPN
ejpam-5957	334	6	,	,	PUNCT
ejpam-5957	334	7	y	y	NOUN
ejpam-5957	334	8	;	;	PUNCT
ejpam-5957	334	9	z)(p−	z)(p−	NUM
ejpam-5957	334	10	1)k−jr(q	1)k−jr(q	NUM
ejpam-5957	334	11	−	−	PROPN
ejpam-5957	334	12	1)rzrxk−jr	1)rzrxk−jr	PROPN
ejpam-5957	334	13			PROPN
ejpam-5957	334	14	tn	tn	PROPN
ejpam-5957	334	15	n	n	CCONJ
ejpam-5957	334	16	!	!	PUNCT
ejpam-5957	334	17	.	.	PUNCT
ejpam-5957	335	1	comparing	compare	VERB
ejpam-5957	335	2	the	the	DET
ejpam-5957	335	3	coefficients	coefficient	NOUN
ejpam-5957	335	4	of	of	ADP
ejpam-5957	335	5	tn	tn	NOUN
ejpam-5957	335	6	n	n	X
ejpam-5957	335	7	!	!	PUNCT
ejpam-5957	336	1	yields	yield	NOUN
ejpam-5957	336	2	(	(	PUNCT
ejpam-5957	336	3	37	37	NUM
ejpam-5957	336	4	)	)	PUNCT
ejpam-5957	336	5	.	.	PUNCT
ejpam-5957	337	1	setting	set	VERB
ejpam-5957	337	2	p	p	NOUN
ejpam-5957	337	3	=	=	NOUN
ejpam-5957	337	4	1	1	NUM
ejpam-5957	337	5	and	and	CCONJ
ejpam-5957	337	6	q	q	NOUN
ejpam-5957	337	7	=	=	SYM
ejpam-5957	337	8	1	1	NUM
ejpam-5957	337	9	in	in	ADP
ejpam-5957	337	10	theorem	theorem	NOUN
ejpam-5957	337	11	14	14	NUM
ejpam-5957	337	12	,	,	PUNCT
ejpam-5957	337	13	the	the	DET
ejpam-5957	337	14	following	follow	VERB
ejpam-5957	337	15	corollary	corollary	NOUN
ejpam-5957	337	16	involving	involve	VERB
ejpam-5957	337	17	gouldhopper	gouldhopper	ADJ
ejpam-5957	337	18	-	-	PUNCT
ejpam-5957	337	19	based	base	VERB
ejpam-5957	337	20	bivariate	bivariate	ADJ
ejpam-5957	337	21	fubini	fubini	ADJ
ejpam-5957	337	22	polynomials	polynomial	NOUN
ejpam-5957	337	23	holds	hold	VERB
ejpam-5957	337	24	.	.	PUNCT
ejpam-5957	338	1	corollary	corollary	ADJ
ejpam-5957	338	2	6	6	NUM
ejpam-5957	338	3	.	.	PUNCT
ejpam-5957	339	1	for	for	ADP
ejpam-5957	339	2	n	n	PRON
ejpam-5957	339	3	≥	≥	NOUN
ejpam-5957	339	4	0	0	NUM
ejpam-5957	339	5	,	,	PUNCT
ejpam-5957	339	6	the	the	DET
ejpam-5957	339	7	following	follow	VERB
ejpam-5957	339	8	equation	equation	NOUN
ejpam-5957	339	9	holds	hold	VERB
ejpam-5957	339	10	:	:	PUNCT
ejpam-5957	339	11	hf	hf	PROPN
ejpam-5957	339	12	(	(	PUNCT
ejpam-5957	339	13	j	j	NOUN
ejpam-5957	339	14	)	)	PUNCT
ejpam-5957	339	15	n	n	PROPN
ejpam-5957	339	16	(	(	PUNCT
ejpam-5957	339	17	x	x	X
ejpam-5957	339	18	,	,	PUNCT
ejpam-5957	339	19	y	y	PROPN
ejpam-5957	339	20	;	;	PUNCT
ejpam-5957	339	21	z	z	X
ejpam-5957	339	22	)	)	PUNCT
ejpam-5957	339	23	=	=	SYM
ejpam-5957	340	1	n∑	n∑	NOUN
ejpam-5957	340	2	k=0	k=0	PROPN
ejpam-5957	341	1	[	[	PUNCT
ejpam-5957	341	2	k	k	X
ejpam-5957	341	3	j	j	PROPN
ejpam-5957	341	4	]	]	X
ejpam-5957	341	5	∑	∑	PUNCT
ejpam-5957	341	6	r=0	r=0	PROPN
ejpam-5957	341	7	(	(	PUNCT
ejpam-5957	341	8	n)k	n)k	X
ejpam-5957	341	9	r!(k	r!(k	NUM
ejpam-5957	341	10	−	−	PROPN
ejpam-5957	341	11	jr	jr	PROPN
ejpam-5957	341	12	)	)	PUNCT
ejpam-5957	341	13	!	!	PUNCT
ejpam-5957	342	1	hf	hf	NOUN
ejpam-5957	342	2	(	(	PUNCT
ejpam-5957	342	3	j	j	NOUN
ejpam-5957	342	4	)	)	PUNCT
ejpam-5957	342	5	n−k(x	n−k(x	PROPN
ejpam-5957	342	6	,	,	PUNCT
ejpam-5957	342	7	y	y	PROPN
ejpam-5957	342	8	;	;	PUNCT
ejpam-5957	342	9	z)z	z)z	X
ejpam-5957	342	10	rxk−jr	rxk−jr	NOUN
ejpam-5957	342	11	.	.	PUNCT
ejpam-5957	343	1	in	in	ADP
ejpam-5957	343	2	the	the	DET
ejpam-5957	343	3	subsequent	subsequent	ADJ
ejpam-5957	343	4	theorems	theorem	NOUN
ejpam-5957	343	5	,	,	PUNCT
ejpam-5957	343	6	we	we	PRON
ejpam-5957	343	7	give	give	VERB
ejpam-5957	343	8	the	the	DET
ejpam-5957	343	9	symmetric	symmetric	ADJ
ejpam-5957	343	10	identities	identity	NOUN
ejpam-5957	343	11	for	for	ADP
ejpam-5957	343	12	gould	gould	NOUN
ejpam-5957	343	13	-	-	PUNCT
ejpam-5957	343	14	hopper	hopper	NOUN
ejpam-5957	343	15	-	-	PUNCT
ejpam-5957	343	16	based	base	VERB
ejpam-5957	343	17	bivariate	bivariate	ADJ
ejpam-5957	343	18	fubini	fubini	ADJ
ejpam-5957	343	19	polynomials	polynomial	NOUN
ejpam-5957	343	20	.	.	PUNCT
ejpam-5957	344	1	theorem	theorem	VERB
ejpam-5957	344	2	15	15	NUM
ejpam-5957	344	3	.	.	PUNCT
ejpam-5957	345	1	for	for	ADP
ejpam-5957	345	2	integers	integer	NOUN
ejpam-5957	345	3	a	a	DET
ejpam-5957	345	4	,	,	PUNCT
ejpam-5957	345	5	b	b	NOUN
ejpam-5957	345	6	and	and	CCONJ
ejpam-5957	345	7	n	n	PRON
ejpam-5957	345	8	≥	≥	NOUN
ejpam-5957	345	9	0	0	NUM
ejpam-5957	345	10	,	,	PUNCT
ejpam-5957	345	11	the	the	DET
ejpam-5957	345	12	following	follow	VERB
ejpam-5957	345	13	symmetric	symmetric	ADJ
ejpam-5957	345	14	identity	identity	NOUN
ejpam-5957	345	15	for	for	ADP
ejpam-5957	345	16	gouldhopper	gouldhopper	ADV
ejpam-5957	345	17	-	-	PUNCT
ejpam-5957	345	18	based	base	VERB
ejpam-5957	345	19	bivariate	bivariate	ADJ
ejpam-5957	345	20	fubini	fubini	ADJ
ejpam-5957	345	21	polynomials	polynomial	NOUN
ejpam-5957	345	22	holds	hold	VERB
ejpam-5957	345	23	:	:	PUNCT
ejpam-5957	345	24	n∑	n∑	PROPN
ejpam-5957	345	25	r=0	r=0	PROPN
ejpam-5957	345	26	(	(	PUNCT
ejpam-5957	345	27	n	n	NOUN
ejpam-5957	345	28	r	r	NOUN
ejpam-5957	345	29	)	)	PUNCT
ejpam-5957	345	30	bran−r	bran−r	NOUN
ejpam-5957	346	1	hf	hf	INTJ
ejpam-5957	346	2	(	(	PUNCT
ejpam-5957	346	3	j	j	PROPN
ejpam-5957	346	4	)	)	PUNCT
ejpam-5957	346	5	n−r(bx	n−r(bx	PROPN
ejpam-5957	346	6	,	,	PUNCT
ejpam-5957	346	7	y	y	PROPN
ejpam-5957	346	8	;	;	PUNCT
ejpam-5957	346	9	b	b	X
ejpam-5957	346	10	jz)hf	jz)hf	X
ejpam-5957	346	11	(	(	PUNCT
ejpam-5957	346	12	j	j	NOUN
ejpam-5957	346	13	)	)	PUNCT
ejpam-5957	346	14	r	r	NOUN
ejpam-5957	346	15	(	(	PUNCT
ejpam-5957	346	16	ax	ax	NOUN
ejpam-5957	346	17	,	,	PUNCT
ejpam-5957	346	18	y	y	NOUN
ejpam-5957	346	19	;	;	PUNCT
ejpam-5957	346	20	ajz	ajz	ADJ
ejpam-5957	346	21	)	)	PUNCT
ejpam-5957	346	22	=	=	SYM
ejpam-5957	347	1	n∑	n∑	NOUN
ejpam-5957	347	2	r=0	r=0	PROPN
ejpam-5957	347	3	(	(	PUNCT
ejpam-5957	347	4	n	n	NOUN
ejpam-5957	347	5	r	r	NOUN
ejpam-5957	347	6	)	)	PUNCT
ejpam-5957	347	7	arbn−r	arbn−r	NOUN
ejpam-5957	347	8	hf	hf	PROPN
ejpam-5957	347	9	(	(	PUNCT
ejpam-5957	347	10	j	j	PROPN
ejpam-5957	347	11	)	)	PUNCT
ejpam-5957	347	12	n−r(ax	n−r(ax	PROPN
ejpam-5957	347	13	,	,	PUNCT
ejpam-5957	347	14	y	y	PROPN
ejpam-5957	347	15	;	;	PUNCT
ejpam-5957	347	16	a	a	DET
ejpam-5957	347	17	jz)hf	jz)hf	PROPN
ejpam-5957	347	18	(	(	PUNCT
ejpam-5957	347	19	j	j	NOUN
ejpam-5957	347	20	)	)	PUNCT
ejpam-5957	347	21	r	r	NOUN
ejpam-5957	347	22	(	(	PUNCT
ejpam-5957	347	23	bx	bx	PROPN
ejpam-5957	347	24	,	,	PUNCT
ejpam-5957	347	25	y	y	PROPN
ejpam-5957	347	26	;	;	PUNCT
ejpam-5957	347	27	bjz	bjz	NOUN
ejpam-5957	347	28	)	)	PUNCT
ejpam-5957	347	29	.	.	PUNCT
ejpam-5957	348	1	(	(	PUNCT
ejpam-5957	348	2	39	39	NUM
ejpam-5957	348	3	)	)	PUNCT
ejpam-5957	348	4	proof	proof	NOUN
ejpam-5957	348	5	.	.	PUNCT
ejpam-5957	349	1	consider	consider	VERB
ejpam-5957	349	2	the	the	DET
ejpam-5957	349	3	function	function	NOUN
ejpam-5957	349	4	a(t	a(t	NOUN
ejpam-5957	349	5	)	)	PUNCT
ejpam-5957	350	1	=	=	PRON
ejpam-5957	350	2	(	(	PUNCT
ejpam-5957	350	3	eabxt+ajbjztj	eabxt+ajbjztj	PROPN
ejpam-5957	350	4	)	)	PUNCT
ejpam-5957	350	5	2	2	NUM
ejpam-5957	350	6	(	(	PUNCT
ejpam-5957	350	7	1−	1−	NUM
ejpam-5957	350	8	y(eat	y(eat	NOUN
ejpam-5957	350	9	−	−	PROPN
ejpam-5957	350	10	1))(1−	1))(1−	NUM
ejpam-5957	350	11	y(ebt	y(ebt	NOUN
ejpam-5957	350	12	−	−	NOUN
ejpam-5957	350	13	1	1	NUM
ejpam-5957	350	14	)	)	PUNCT
ejpam-5957	350	15	)	)	PUNCT
ejpam-5957	351	1	=	=	PUNCT
ejpam-5957	351	2	ebx(at)+bjz(at)j	ebx(at)+bjz(at)j	NOUN
ejpam-5957	351	3	(	(	PUNCT
ejpam-5957	351	4	1−	1−	NUM
ejpam-5957	351	5	y(eat	y(eat	NOUN
ejpam-5957	351	6	−	−	PROPN
ejpam-5957	351	7	1	1	NUM
ejpam-5957	351	8	)	)	PUNCT
ejpam-5957	351	9	)	)	PUNCT
ejpam-5957	351	10	·	·	PUNCT
ejpam-5957	351	11	eax(bt)+ajz(bt)j	eax(bt)+ajz(bt)j	INTJ
ejpam-5957	351	12	(	(	PUNCT
ejpam-5957	351	13	1−	1−	NUM
ejpam-5957	351	14	y(ebt	y(ebt	NOUN
ejpam-5957	351	15	−	−	NOUN
ejpam-5957	351	16	1	1	NUM
ejpam-5957	351	17	)	)	PUNCT
ejpam-5957	351	18	)	)	PUNCT
ejpam-5957	351	19	.	.	PUNCT
ejpam-5957	352	1	(	(	PUNCT
ejpam-5957	352	2	40	40	NUM
ejpam-5957	352	3	)	)	PUNCT
ejpam-5957	352	4	then	then	ADV
ejpam-5957	352	5	,	,	PUNCT
ejpam-5957	352	6	by	by	ADP
ejpam-5957	352	7	applying	apply	VERB
ejpam-5957	352	8	definition	definition	NOUN
ejpam-5957	352	9	6	6	NUM
ejpam-5957	352	10	to	to	ADP
ejpam-5957	352	11	equation	equation	NOUN
ejpam-5957	352	12	(	(	PUNCT
ejpam-5957	352	13	40	40	NUM
ejpam-5957	352	14	)	)	PUNCT
ejpam-5957	352	15	we	we	PRON
ejpam-5957	352	16	have	have	AUX
ejpam-5957	352	17	a(t	a(t	VERB
ejpam-5957	352	18	)	)	PUNCT
ejpam-5957	353	1	=	=	PUNCT
ejpam-5957	354	1	∞∑	∞∑	ADJ
ejpam-5957	354	2	n=0	n=0	NUM
ejpam-5957	354	3	hf	hf	NOUN
ejpam-5957	354	4	(	(	PUNCT
ejpam-5957	354	5	j	j	NOUN
ejpam-5957	354	6	)	)	PUNCT
ejpam-5957	354	7	n	n	PROPN
ejpam-5957	354	8	(	(	PUNCT
ejpam-5957	354	9	bx	bx	PROPN
ejpam-5957	354	10	,	,	PUNCT
ejpam-5957	354	11	y	y	PROPN
ejpam-5957	354	12	;	;	PUNCT
ejpam-5957	354	13	bjz	bjz	NOUN
ejpam-5957	354	14	)	)	PUNCT
ejpam-5957	354	15	(	(	PUNCT
ejpam-5957	354	16	at)n	at)n	PROPN
ejpam-5957	354	17	n	n	CCONJ
ejpam-5957	354	18	!	!	PUNCT
ejpam-5957	355	1	∞∑	∞∑	ADJ
ejpam-5957	355	2	n=0	n=0	NUM
ejpam-5957	355	3	hf	hf	NOUN
ejpam-5957	355	4	(	(	PUNCT
ejpam-5957	355	5	j	j	NOUN
ejpam-5957	355	6	)	)	PUNCT
ejpam-5957	355	7	n	n	PROPN
ejpam-5957	355	8	(	(	PUNCT
ejpam-5957	355	9	ax	ax	NOUN
ejpam-5957	355	10	,	,	PUNCT
ejpam-5957	355	11	y	y	NOUN
ejpam-5957	355	12	;	;	PUNCT
ejpam-5957	355	13	ajz	ajz	ADJ
ejpam-5957	355	14	)	)	PUNCT
ejpam-5957	355	15	(	(	PUNCT
ejpam-5957	355	16	bt)n	bt)n	PROPN
ejpam-5957	355	17	n	n	CCONJ
ejpam-5957	355	18	!	!	PUNCT
ejpam-5957	355	19	=	=	NOUN
ejpam-5957	356	1	∞∑	∞∑	PRON
ejpam-5957	356	2	n=0	n=0	PUNCT
ejpam-5957	356	3	anhf	anhf	NOUN
ejpam-5957	356	4	(	(	PUNCT
ejpam-5957	356	5	j	j	NOUN
ejpam-5957	356	6	)	)	PUNCT
ejpam-5957	356	7	n	n	PROPN
ejpam-5957	356	8	(	(	PUNCT
ejpam-5957	356	9	bx	bx	PROPN
ejpam-5957	356	10	,	,	PUNCT
ejpam-5957	356	11	y	y	PROPN
ejpam-5957	356	12	;	;	PUNCT
ejpam-5957	356	13	bjz	bjz	NOUN
ejpam-5957	356	14	)	)	PUNCT
ejpam-5957	356	15	tn	tn	PROPN
ejpam-5957	356	16	n	n	CCONJ
ejpam-5957	356	17	!	!	PUNCT
ejpam-5957	357	1	∞∑	∞∑	ADJ
ejpam-5957	357	2	n=0	n=0	NUM
ejpam-5957	357	3	bnhf	bnhf	NOUN
ejpam-5957	357	4	(	(	PUNCT
ejpam-5957	357	5	j	j	NOUN
ejpam-5957	357	6	)	)	PUNCT
ejpam-5957	357	7	n	n	PROPN
ejpam-5957	357	8	(	(	PUNCT
ejpam-5957	357	9	ax	ax	NOUN
ejpam-5957	357	10	,	,	PUNCT
ejpam-5957	357	11	y	y	NOUN
ejpam-5957	357	12	;	;	PUNCT
ejpam-5957	357	13	ajz	ajz	ADJ
ejpam-5957	357	14	)	)	PUNCT
ejpam-5957	357	15	tn	tn	PROPN
ejpam-5957	357	16	n	n	NUM
ejpam-5957	357	17	!	!	PUNCT
ejpam-5957	357	18	.	.	PUNCT
ejpam-5957	358	1	thus	thus	ADV
ejpam-5957	358	2	,	,	PUNCT
ejpam-5957	358	3	applying	apply	VERB
ejpam-5957	358	4	the	the	DET
ejpam-5957	358	5	theorem	theorem	NOUN
ejpam-5957	358	6	3	3	NUM
ejpam-5957	358	7	to	to	ADP
ejpam-5957	358	8	the	the	DET
ejpam-5957	358	9	equation	equation	NOUN
ejpam-5957	358	10	above	above	ADP
ejpam-5957	358	11	we	we	PRON
ejpam-5957	358	12	get	get	VERB
ejpam-5957	358	13	a(t	a(t	NOUN
ejpam-5957	358	14	)	)	PUNCT
ejpam-5957	359	1	=	=	PUNCT
ejpam-5957	360	1	∞∑	∞∑	NUM
ejpam-5957	360	2	n=0	n=0	NUM
ejpam-5957	360	3	(	(	PUNCT
ejpam-5957	360	4	n∑	n∑	ADV
ejpam-5957	360	5	r=0	r=0	PROPN
ejpam-5957	360	6	(	(	PUNCT
ejpam-5957	360	7	n	n	NOUN
ejpam-5957	360	8	r	r	NOUN
ejpam-5957	360	9	)	)	PUNCT
ejpam-5957	360	10	bran−r	bran−r	NOUN
ejpam-5957	360	11	hf	hf	INTJ
ejpam-5957	360	12	(	(	PUNCT
ejpam-5957	360	13	j	j	PROPN
ejpam-5957	360	14	)	)	PUNCT
ejpam-5957	360	15	n−r(bx	n−r(bx	PROPN
ejpam-5957	360	16	,	,	PUNCT
ejpam-5957	360	17	y	y	PROPN
ejpam-5957	360	18	;	;	PUNCT
ejpam-5957	360	19	b	b	X
ejpam-5957	360	20	jz	jz	PROPN
ejpam-5957	360	21	)	)	PUNCT
ejpam-5957	360	22	·	·	PUNCT
ejpam-5957	360	23	hf	hf	X
ejpam-5957	360	24	(	(	PUNCT
ejpam-5957	360	25	j	j	NOUN
ejpam-5957	360	26	)	)	PUNCT
ejpam-5957	360	27	r	r	NOUN
ejpam-5957	360	28	(	(	PUNCT
ejpam-5957	360	29	ax	ax	NOUN
ejpam-5957	360	30	,	,	PUNCT
ejpam-5957	360	31	y	y	NOUN
ejpam-5957	360	32	;	;	PUNCT
ejpam-5957	360	33	ajz	ajz	ADJ
ejpam-5957	360	34	)	)	PUNCT
ejpam-5957	360	35	)	)	PUNCT
ejpam-5957	360	36	tn	tn	PROPN
ejpam-5957	361	1	n	n	PROPN
ejpam-5957	361	2	!	!	PUNCT
ejpam-5957	361	3	.	.	PUNCT
ejpam-5957	362	1	(	(	PUNCT
ejpam-5957	362	2	41	41	NUM
ejpam-5957	362	3	)	)	PUNCT
ejpam-5957	362	4	r.	r.	PROPN
ejpam-5957	362	5	g.	g.	PROPN
ejpam-5957	362	6	bago	bago	PROPN
ejpam-5957	362	7	,	,	PUNCT
ejpam-5957	362	8	n.	n.	PROPN
ejpam-5957	362	9	s.	s.	PROPN
ejpam-5957	362	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	362	11	/	/	SYM
ejpam-5957	362	12	eur	eur	PROPN
ejpam-5957	362	13	.	.	PUNCT
ejpam-5957	363	1	j.	j.	PROPN
ejpam-5957	363	2	pure	pure	PROPN
ejpam-5957	363	3	appl	appl	PROPN
ejpam-5957	363	4	.	.	PROPN
ejpam-5957	363	5	math	math	PROPN
ejpam-5957	363	6	,	,	PUNCT
ejpam-5957	363	7	18	18	NUM
ejpam-5957	363	8	(	(	PUNCT
ejpam-5957	363	9	2	2	NUM
ejpam-5957	363	10	)	)	PUNCT
ejpam-5957	363	11	(	(	PUNCT
ejpam-5957	363	12	2025	2025	NUM
ejpam-5957	363	13	)	)	PUNCT
ejpam-5957	363	14	,	,	PUNCT
ejpam-5957	363	15	5957	5957	NUM
ejpam-5957	363	16	14	14	NUM
ejpam-5957	363	17	of	of	ADP
ejpam-5957	363	18	25	25	NUM
ejpam-5957	363	19	note	note	NOUN
ejpam-5957	363	20	that	that	SCONJ
ejpam-5957	363	21	,	,	PUNCT
ejpam-5957	363	22	a(t	a(t	NOUN
ejpam-5957	363	23	)	)	PUNCT
ejpam-5957	363	24	can	can	AUX
ejpam-5957	363	25	also	also	ADV
ejpam-5957	363	26	be	be	AUX
ejpam-5957	363	27	expressed	express	VERB
ejpam-5957	363	28	as	as	SCONJ
ejpam-5957	363	29	follows	follow	VERB
ejpam-5957	363	30	a(t	a(t	NOUN
ejpam-5957	363	31	)	)	PUNCT
ejpam-5957	364	1	=	=	PRON
ejpam-5957	364	2	eax(bt)+ajz(bt)j	eax(bt)+ajz(bt)j	PROPN
ejpam-5957	364	3	(	(	PUNCT
ejpam-5957	364	4	1−	1−	NUM
ejpam-5957	364	5	y(ebt	y(ebt	NOUN
ejpam-5957	364	6	−	−	NOUN
ejpam-5957	364	7	1	1	NUM
ejpam-5957	364	8	)	)	PUNCT
ejpam-5957	364	9	)	)	PUNCT
ejpam-5957	364	10	·	·	PUNCT
ejpam-5957	365	1	ebx(at)+bjz(at)j	ebx(at)+bjz(at)j	NOUN
ejpam-5957	365	2	(	(	PUNCT
ejpam-5957	365	3	1−	1−	NUM
ejpam-5957	365	4	y(eat	y(eat	NOUN
ejpam-5957	365	5	−	−	PROPN
ejpam-5957	365	6	1	1	NUM
ejpam-5957	365	7	)	)	PUNCT
ejpam-5957	365	8	)	)	PUNCT
ejpam-5957	365	9	.	.	PUNCT
ejpam-5957	366	1	(	(	PUNCT
ejpam-5957	366	2	42	42	X
ejpam-5957	366	3	)	)	PUNCT
ejpam-5957	366	4	applying	apply	VERB
ejpam-5957	366	5	definition	definition	NOUN
ejpam-5957	366	6	6	6	NUM
ejpam-5957	366	7	to	to	ADP
ejpam-5957	366	8	equation	equation	NOUN
ejpam-5957	366	9	(	(	PUNCT
ejpam-5957	366	10	42	42	NUM
ejpam-5957	366	11	)	)	PUNCT
ejpam-5957	366	12	,	,	PUNCT
ejpam-5957	366	13	gives	give	VERB
ejpam-5957	366	14	a(t	a(t	NOUN
ejpam-5957	366	15	)	)	PUNCT
ejpam-5957	366	16	=	=	PUNCT
ejpam-5957	367	1	∞∑	∞∑	NUM
ejpam-5957	367	2	n=0	n=0	NUM
ejpam-5957	367	3	bnhf	bnhf	NOUN
ejpam-5957	367	4	(	(	PUNCT
ejpam-5957	367	5	j	j	NOUN
ejpam-5957	367	6	)	)	PUNCT
ejpam-5957	367	7	n	n	PROPN
ejpam-5957	367	8	(	(	PUNCT
ejpam-5957	367	9	ax	ax	NOUN
ejpam-5957	367	10	,	,	PUNCT
ejpam-5957	367	11	y	y	NOUN
ejpam-5957	367	12	;	;	PUNCT
ejpam-5957	367	13	ajz	ajz	ADJ
ejpam-5957	367	14	)	)	PUNCT
ejpam-5957	367	15	tn	tn	PROPN
ejpam-5957	367	16	n	n	CCONJ
ejpam-5957	367	17	!	!	PUNCT
ejpam-5957	368	1	∞∑	∞∑	ADJ
ejpam-5957	368	2	n=0	n=0	PUNCT
ejpam-5957	368	3	anhf	anhf	NOUN
ejpam-5957	368	4	(	(	PUNCT
ejpam-5957	368	5	j	j	NOUN
ejpam-5957	368	6	)	)	PUNCT
ejpam-5957	368	7	n	n	PROPN
ejpam-5957	368	8	(	(	PUNCT
ejpam-5957	368	9	bx	bx	PROPN
ejpam-5957	368	10	,	,	PUNCT
ejpam-5957	368	11	y	y	PROPN
ejpam-5957	368	12	;	;	PUNCT
ejpam-5957	368	13	bjz	bjz	NOUN
ejpam-5957	368	14	)	)	PUNCT
ejpam-5957	368	15	tn	tn	PROPN
ejpam-5957	368	16	n	n	PROPN
ejpam-5957	368	17	!	!	PUNCT
ejpam-5957	368	18	.	.	PUNCT
ejpam-5957	369	1	we	we	PRON
ejpam-5957	369	2	then	then	ADV
ejpam-5957	369	3	apply	apply	VERB
ejpam-5957	369	4	theorem	theorem	NOUN
ejpam-5957	369	5	3	3	NUM
ejpam-5957	369	6	to	to	ADP
ejpam-5957	369	7	the	the	DET
ejpam-5957	369	8	equation	equation	NOUN
ejpam-5957	369	9	above	above	ADV
ejpam-5957	369	10	and	and	CCONJ
ejpam-5957	369	11	obtain	obtain	VERB
ejpam-5957	369	12	a(t	a(t	NOUN
ejpam-5957	369	13	)	)	PUNCT
ejpam-5957	369	14	=	=	PUNCT
ejpam-5957	370	1	∞∑	∞∑	NUM
ejpam-5957	370	2	n=0	n=0	NUM
ejpam-5957	370	3	(	(	PUNCT
ejpam-5957	370	4	n∑	n∑	ADV
ejpam-5957	370	5	r=0	r=0	PROPN
ejpam-5957	370	6	(	(	PUNCT
ejpam-5957	370	7	n	n	CCONJ
ejpam-5957	370	8	r	r	NOUN
ejpam-5957	370	9	)	)	PUNCT
ejpam-5957	370	10	bn−r	bn−r	NOUN
ejpam-5957	370	11	hf	hf	NOUN
ejpam-5957	370	12	(	(	PUNCT
ejpam-5957	370	13	j	j	PROPN
ejpam-5957	370	14	)	)	PUNCT
ejpam-5957	370	15	n−r(ax	n−r(ax	PROPN
ejpam-5957	370	16	,	,	PUNCT
ejpam-5957	370	17	y	y	PROPN
ejpam-5957	370	18	;	;	PUNCT
ejpam-5957	370	19	a	a	DET
ejpam-5957	370	20	jz	jz	NOUN
ejpam-5957	370	21	)	)	PUNCT
ejpam-5957	370	22	·	·	PUNCT
ejpam-5957	371	1	arhf	arhf	PROPN
ejpam-5957	371	2	(	(	PUNCT
ejpam-5957	371	3	j	j	NOUN
ejpam-5957	371	4	)	)	PUNCT
ejpam-5957	371	5	r	r	NOUN
ejpam-5957	371	6	(	(	PUNCT
ejpam-5957	371	7	bx	bx	PROPN
ejpam-5957	371	8	,	,	PUNCT
ejpam-5957	371	9	y	y	PROPN
ejpam-5957	371	10	;	;	PUNCT
ejpam-5957	371	11	bjz	bjz	NOUN
ejpam-5957	371	12	)	)	PUNCT
ejpam-5957	371	13	)	)	PUNCT
ejpam-5957	371	14	tn	tn	PROPN
ejpam-5957	372	1	n	n	CCONJ
ejpam-5957	372	2	!	!	PUNCT
ejpam-5957	373	1	=	=	NOUN
ejpam-5957	374	1	∞∑	∞∑	PRON
ejpam-5957	374	2	n=0	n=0	NUM
ejpam-5957	374	3	(	(	PUNCT
ejpam-5957	374	4	n∑	n∑	ADV
ejpam-5957	374	5	r=0	r=0	PROPN
ejpam-5957	374	6	(	(	PUNCT
ejpam-5957	374	7	n	n	NOUN
ejpam-5957	374	8	r	r	NOUN
ejpam-5957	374	9	)	)	PUNCT
ejpam-5957	374	10	arbn−r	arbn−r	NOUN
ejpam-5957	374	11	hf	hf	PROPN
ejpam-5957	374	12	(	(	PUNCT
ejpam-5957	374	13	j	j	PROPN
ejpam-5957	374	14	)	)	PUNCT
ejpam-5957	374	15	n−r(ax	n−r(ax	PROPN
ejpam-5957	374	16	,	,	PUNCT
ejpam-5957	374	17	y	y	PROPN
ejpam-5957	374	18	;	;	PUNCT
ejpam-5957	374	19	a	a	DET
ejpam-5957	374	20	jz	jz	NOUN
ejpam-5957	374	21	)	)	PUNCT
ejpam-5957	374	22	·	·	PUNCT
ejpam-5957	374	23	hf	hf	X
ejpam-5957	374	24	(	(	PUNCT
ejpam-5957	374	25	j	j	NOUN
ejpam-5957	374	26	)	)	PUNCT
ejpam-5957	374	27	r	r	NOUN
ejpam-5957	374	28	(	(	PUNCT
ejpam-5957	374	29	bx	bx	PROPN
ejpam-5957	374	30	,	,	PUNCT
ejpam-5957	374	31	y	y	PROPN
ejpam-5957	374	32	;	;	PUNCT
ejpam-5957	374	33	bjz	bjz	NOUN
ejpam-5957	374	34	)	)	PUNCT
ejpam-5957	374	35	)	)	PUNCT
ejpam-5957	374	36	tn	tn	PROPN
ejpam-5957	374	37	n	n	PROPN
ejpam-5957	374	38	!	!	PUNCT
ejpam-5957	374	39	.	.	PUNCT
ejpam-5957	375	1	(	(	PUNCT
ejpam-5957	375	2	43	43	NUM
ejpam-5957	375	3	)	)	PUNCT
ejpam-5957	375	4	furthermore	furthermore	ADV
ejpam-5957	375	5	,	,	PUNCT
ejpam-5957	375	6	equating	equate	VERB
ejpam-5957	375	7	equations	equation	NOUN
ejpam-5957	375	8	(	(	PUNCT
ejpam-5957	375	9	41	41	NUM
ejpam-5957	375	10	)	)	PUNCT
ejpam-5957	375	11	and	and	CCONJ
ejpam-5957	375	12	(	(	PUNCT
ejpam-5957	375	13	43	43	NUM
ejpam-5957	375	14	)	)	PUNCT
ejpam-5957	375	15	yields	yield	VERB
ejpam-5957	375	16	∞∑	∞∑	NUM
ejpam-5957	375	17	n=0	n=0	NUM
ejpam-5957	375	18	(	(	PUNCT
ejpam-5957	375	19	n∑	n∑	ADV
ejpam-5957	375	20	r=0	r=0	PROPN
ejpam-5957	375	21	(	(	PUNCT
ejpam-5957	375	22	n	n	NOUN
ejpam-5957	375	23	r	r	NOUN
ejpam-5957	375	24	)	)	PUNCT
ejpam-5957	375	25	bran−r	bran−r	NOUN
ejpam-5957	376	1	hf	hf	INTJ
ejpam-5957	376	2	(	(	PUNCT
ejpam-5957	376	3	j	j	PROPN
ejpam-5957	376	4	)	)	PUNCT
ejpam-5957	376	5	n−r(bx	n−r(bx	PROPN
ejpam-5957	376	6	,	,	PUNCT
ejpam-5957	376	7	y	y	PROPN
ejpam-5957	376	8	;	;	PUNCT
ejpam-5957	376	9	b	b	X
ejpam-5957	376	10	jz)hf	jz)hf	X
ejpam-5957	376	11	(	(	PUNCT
ejpam-5957	376	12	j	j	NOUN
ejpam-5957	376	13	)	)	PUNCT
ejpam-5957	376	14	r	r	NOUN
ejpam-5957	376	15	(	(	PUNCT
ejpam-5957	376	16	ax	ax	NOUN
ejpam-5957	376	17	,	,	PUNCT
ejpam-5957	376	18	y	y	NOUN
ejpam-5957	376	19	;	;	PUNCT
ejpam-5957	376	20	ajz	ajz	ADJ
ejpam-5957	376	21	)	)	PUNCT
ejpam-5957	376	22	)	)	PUNCT
ejpam-5957	376	23	tn	tn	PROPN
ejpam-5957	376	24	n	n	CCONJ
ejpam-5957	376	25	!	!	PUNCT
ejpam-5957	376	26	=	=	NOUN
ejpam-5957	377	1	∞∑	∞∑	PRON
ejpam-5957	377	2	n=0	n=0	NUM
ejpam-5957	377	3	(	(	PUNCT
ejpam-5957	377	4	n∑	n∑	ADV
ejpam-5957	377	5	r=0	r=0	PROPN
ejpam-5957	377	6	(	(	PUNCT
ejpam-5957	377	7	n	n	NOUN
ejpam-5957	377	8	r	r	NOUN
ejpam-5957	377	9	)	)	PUNCT
ejpam-5957	377	10	arbn−r	arbn−r	NOUN
ejpam-5957	377	11	hf	hf	PROPN
ejpam-5957	377	12	(	(	PUNCT
ejpam-5957	377	13	j	j	PROPN
ejpam-5957	377	14	)	)	PUNCT
ejpam-5957	377	15	n−r(ax	n−r(ax	PROPN
ejpam-5957	377	16	,	,	PUNCT
ejpam-5957	377	17	y	y	PROPN
ejpam-5957	377	18	;	;	PUNCT
ejpam-5957	377	19	a	a	DET
ejpam-5957	377	20	jz)hf	jz)hf	PROPN
ejpam-5957	377	21	(	(	PUNCT
ejpam-5957	377	22	j	j	NOUN
ejpam-5957	377	23	)	)	PUNCT
ejpam-5957	377	24	r	r	NOUN
ejpam-5957	377	25	(	(	PUNCT
ejpam-5957	377	26	bx	bx	PROPN
ejpam-5957	377	27	,	,	PUNCT
ejpam-5957	377	28	y	y	PROPN
ejpam-5957	377	29	;	;	PUNCT
ejpam-5957	377	30	bjz	bjz	NOUN
ejpam-5957	377	31	)	)	PUNCT
ejpam-5957	377	32	)	)	PUNCT
ejpam-5957	377	33	tn	tn	PROPN
ejpam-5957	377	34	n	n	PROPN
ejpam-5957	377	35	!	!	PUNCT
ejpam-5957	377	36	.	.	PUNCT
ejpam-5957	378	1	finally	finally	ADV
ejpam-5957	378	2	,	,	PUNCT
ejpam-5957	378	3	comparing	compare	VERB
ejpam-5957	378	4	the	the	DET
ejpam-5957	378	5	coefficients	coefficient	NOUN
ejpam-5957	378	6	of	of	ADP
ejpam-5957	378	7	tn	tn	NOUN
ejpam-5957	378	8	n	n	CCONJ
ejpam-5957	378	9	!	!	PUNCT
ejpam-5957	379	1	we	we	PRON
ejpam-5957	379	2	get	get	VERB
ejpam-5957	379	3	(	(	PUNCT
ejpam-5957	379	4	39	39	NUM
ejpam-5957	379	5	)	)	PUNCT
ejpam-5957	379	6	.	.	PUNCT
ejpam-5957	380	1	theorem	theorem	VERB
ejpam-5957	380	2	16	16	NUM
ejpam-5957	380	3	.	.	PUNCT
ejpam-5957	381	1	for	for	ADP
ejpam-5957	381	2	positive	positive	ADJ
ejpam-5957	381	3	integers	integer	NOUN
ejpam-5957	381	4	a	a	DET
ejpam-5957	381	5	,	,	PUNCT
ejpam-5957	381	6	b	b	NOUN
ejpam-5957	381	7	and	and	CCONJ
ejpam-5957	381	8	n	n	PRON
ejpam-5957	381	9	≥	≥	NOUN
ejpam-5957	381	10	0	0	NUM
ejpam-5957	381	11	,	,	PUNCT
ejpam-5957	381	12	the	the	DET
ejpam-5957	381	13	following	follow	VERB
ejpam-5957	381	14	symmetric	symmetric	ADJ
ejpam-5957	381	15	identity	identity	NOUN
ejpam-5957	381	16	for	for	ADP
ejpam-5957	381	17	gould	gould	NOUN
ejpam-5957	381	18	-	-	PUNCT
ejpam-5957	381	19	hopper	hopper	NOUN
ejpam-5957	381	20	-	-	PUNCT
ejpam-5957	381	21	based	base	VERB
ejpam-5957	381	22	bivariate	bivariate	ADJ
ejpam-5957	381	23	fubini	fubini	ADJ
ejpam-5957	381	24	polynomials	polynomial	NOUN
ejpam-5957	381	25	holds	hold	VERB
ejpam-5957	381	26	:	:	PUNCT
ejpam-5957	381	27	n∑	n∑	ADJ
ejpam-5957	381	28	k=0	k=0	PROPN
ejpam-5957	381	29	(	(	PUNCT
ejpam-5957	381	30	n	n	X
ejpam-5957	381	31	k	k	NOUN
ejpam-5957	381	32	)	)	PUNCT
ejpam-5957	381	33	a−1∑	a−1∑	PRON
ejpam-5957	381	34	i=0	i=0	PROPN
ejpam-5957	381	35	b−1∑	b−1∑	NOUN
ejpam-5957	381	36	l=0	l=0	PROPN
ejpam-5957	381	37	bkan−k	bkan−k	X
ejpam-5957	381	38	hf	hf	NOUN
ejpam-5957	381	39	(	(	PUNCT
ejpam-5957	381	40	j	j	PROPN
ejpam-5957	381	41	)	)	PUNCT
ejpam-5957	381	42	n−k(bx+	n−k(bx+	PROPN
ejpam-5957	381	43	b	b	PROPN
ejpam-5957	381	44	a	a	DET
ejpam-5957	381	45	i+	i+	NUM
ejpam-5957	381	46	l	l	NOUN
ejpam-5957	381	47	,	,	PUNCT
ejpam-5957	381	48	y	y	PROPN
ejpam-5957	381	49	;	;	PUNCT
ejpam-5957	381	50	bjz)fk(au	bjz)fk(au	NOUN
ejpam-5957	381	51	,	,	PUNCT
ejpam-5957	381	52	y	y	NOUN
ejpam-5957	381	53	)	)	PUNCT
ejpam-5957	381	54	=	=	SYM
ejpam-5957	382	1	n∑	n∑	NOUN
ejpam-5957	382	2	k=0	k=0	PROPN
ejpam-5957	382	3	(	(	PUNCT
ejpam-5957	382	4	n	n	X
ejpam-5957	382	5	k	k	NOUN
ejpam-5957	382	6	)	)	PUNCT
ejpam-5957	382	7	a−1∑	a−1∑	PRON
ejpam-5957	382	8	l=0	l=0	PROPN
ejpam-5957	382	9	b−1∑	b−1∑	VERB
ejpam-5957	382	10	i=0	i=0	PROPN
ejpam-5957	382	11	akbn−k	akbn−k	PROPN
ejpam-5957	382	12	hf	hf	PROPN
ejpam-5957	382	13	(	(	PUNCT
ejpam-5957	382	14	j	j	NOUN
ejpam-5957	382	15	)	)	PUNCT
ejpam-5957	382	16	n−k(ax+	n−k(ax+	ADV
ejpam-5957	382	17	a	a	DET
ejpam-5957	382	18	b	b	NOUN
ejpam-5957	382	19	i+	i+	NUM
ejpam-5957	382	20	l	l	NOUN
ejpam-5957	382	21	,	,	PUNCT
ejpam-5957	382	22	y	y	PROPN
ejpam-5957	382	23	;	;	PUNCT
ejpam-5957	382	24	ajz)fk(bu	ajz)fk(bu	PROPN
ejpam-5957	382	25	,	,	PUNCT
ejpam-5957	382	26	y	y	NOUN
ejpam-5957	382	27	)	)	PUNCT
ejpam-5957	382	28	.	.	PUNCT
ejpam-5957	383	1	(	(	PUNCT
ejpam-5957	383	2	44	44	NUM
ejpam-5957	383	3	)	)	PUNCT
ejpam-5957	383	4	proof	proof	NOUN
ejpam-5957	383	5	.	.	PUNCT
ejpam-5957	384	1	consider	consider	VERB
ejpam-5957	384	2	the	the	DET
ejpam-5957	384	3	following	follow	VERB
ejpam-5957	384	4	function	function	NOUN
ejpam-5957	384	5	:	:	PUNCT
ejpam-5957	384	6	b(t	b(t	NOUN
ejpam-5957	384	7	)	)	PUNCT
ejpam-5957	385	1	=	=	PUNCT
ejpam-5957	385	2	eab(x+u)t+ajbjztj	eab(x+u)t+ajbjztj	PROPN
ejpam-5957	385	3	(	(	PUNCT
ejpam-5957	385	4	eabt	eabt	ADV
ejpam-5957	385	5	−	−	PROPN
ejpam-5957	385	6	1)2	1)2	NUM
ejpam-5957	385	7	(	(	PUNCT
ejpam-5957	385	8	1−	1−	NUM
ejpam-5957	385	9	y(eat	y(eat	NOUN
ejpam-5957	385	10	−	−	PROPN
ejpam-5957	385	11	1))(1−	1))(1−	NUM
ejpam-5957	385	12	y(ebt	y(ebt	NOUN
ejpam-5957	385	13	−	−	PROPN
ejpam-5957	386	1	1))(eat	1))(eat	NUM
ejpam-5957	386	2	−	−	NUM
ejpam-5957	386	3	1)(ebt	1)(ebt	NUM
ejpam-5957	386	4	−	−	NOUN
ejpam-5957	386	5	1	1	NUM
ejpam-5957	386	6	)	)	PUNCT
ejpam-5957	386	7	=	=	SYM
ejpam-5957	386	8	eabxt+ajbjztj	eabxt+ajbjztj	PROPN
ejpam-5957	386	9	1−	1−	NUM
ejpam-5957	386	10	y(eat	y(eat	NOUN
ejpam-5957	386	11	−	−	NOUN
ejpam-5957	386	12	1	1	NUM
ejpam-5957	386	13	)	)	PUNCT
ejpam-5957	386	14	·	·	PUNCT
ejpam-5957	387	1	(	(	PUNCT
ejpam-5957	387	2	e	e	X
ejpam-5957	387	3	bt)a	bt)a	NOUN
ejpam-5957	387	4	−	−	PROPN
ejpam-5957	387	5	1	1	NUM
ejpam-5957	387	6	ebt	ebt	PROPN
ejpam-5957	387	7	−	−	PROPN
ejpam-5957	387	8	1	1	NUM
ejpam-5957	387	9	·	·	PUNCT
ejpam-5957	387	10	(	(	PUNCT
ejpam-5957	387	11	e	e	AUX
ejpam-5957	387	12	at)b	at)b	PROPN
ejpam-5957	387	13	−	−	NOUN
ejpam-5957	387	14	1	1	NUM
ejpam-5957	387	15	eat	eat	VERB
ejpam-5957	387	16	−	−	PROPN
ejpam-5957	387	17	1	1	NUM
ejpam-5957	387	18	·	·	PUNCT
ejpam-5957	387	19	eabut	eabut	NOUN
ejpam-5957	387	20	1−	1−	NUM
ejpam-5957	387	21	y(ebt	y(ebt	NOUN
ejpam-5957	387	22	−	−	NOUN
ejpam-5957	387	23	1	1	NUM
ejpam-5957	387	24	)	)	PUNCT
ejpam-5957	387	25	.	.	PUNCT
ejpam-5957	388	1	(	(	PUNCT
ejpam-5957	388	2	45	45	NUM
ejpam-5957	388	3	)	)	PUNCT
ejpam-5957	388	4	r.	r.	PROPN
ejpam-5957	388	5	g.	g.	PROPN
ejpam-5957	388	6	bago	bago	PROPN
ejpam-5957	388	7	,	,	PUNCT
ejpam-5957	388	8	n.	n.	PROPN
ejpam-5957	388	9	s.	s.	PROPN
ejpam-5957	388	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	388	11	/	/	SYM
ejpam-5957	388	12	eur	eur	PROPN
ejpam-5957	388	13	.	.	PUNCT
ejpam-5957	389	1	j.	j.	PROPN
ejpam-5957	389	2	pure	pure	PROPN
ejpam-5957	389	3	appl	appl	PROPN
ejpam-5957	389	4	.	.	PROPN
ejpam-5957	389	5	math	math	PROPN
ejpam-5957	389	6	,	,	PUNCT
ejpam-5957	389	7	18	18	NUM
ejpam-5957	389	8	(	(	PUNCT
ejpam-5957	389	9	2	2	NUM
ejpam-5957	389	10	)	)	PUNCT
ejpam-5957	389	11	(	(	PUNCT
ejpam-5957	389	12	2025	2025	NUM
ejpam-5957	389	13	)	)	PUNCT
ejpam-5957	389	14	,	,	PUNCT
ejpam-5957	389	15	5957	5957	NUM
ejpam-5957	389	16	15	15	NUM
ejpam-5957	389	17	of	of	ADP
ejpam-5957	389	18	25	25	NUM
ejpam-5957	389	19	by	by	ADP
ejpam-5957	389	20	using	use	VERB
ejpam-5957	389	21	example	example	NOUN
ejpam-5957	389	22	2	2	NUM
ejpam-5957	389	23	,	,	PUNCT
ejpam-5957	389	24	a−1∑	a−1∑	PRON
ejpam-5957	389	25	i=0	i=0	PROPN
ejpam-5957	389	26	ebti	ebti	NOUN
ejpam-5957	389	27	=	=	SYM
ejpam-5957	389	28	(	(	PUNCT
ejpam-5957	389	29	ebt)a	ebt)a	NOUN
ejpam-5957	389	30	−	−	PROPN
ejpam-5957	389	31	1	1	NUM
ejpam-5957	389	32	ebt	ebt	PROPN
ejpam-5957	389	33	−	−	PROPN
ejpam-5957	389	34	1	1	NUM
ejpam-5957	389	35	,	,	PUNCT
ejpam-5957	389	36	(	(	PUNCT
ejpam-5957	389	37	46	46	NUM
ejpam-5957	389	38	)	)	PUNCT
ejpam-5957	389	39	and	and	CCONJ
ejpam-5957	389	40	b−1∑	b−1∑	VERB
ejpam-5957	389	41	l=0	l=0	PROPN
ejpam-5957	389	42	eatl	eatl	ADJ
ejpam-5957	389	43	=	=	SYM
ejpam-5957	389	44	(	(	PUNCT
ejpam-5957	389	45	eat)b	eat)b	PROPN
ejpam-5957	389	46	−	−	PROPN
ejpam-5957	389	47	1	1	NUM
ejpam-5957	389	48	eat	eat	VERB
ejpam-5957	389	49	−	−	PROPN
ejpam-5957	389	50	1	1	NUM
ejpam-5957	389	51	.	.	PUNCT
ejpam-5957	390	1	(	(	PUNCT
ejpam-5957	390	2	47	47	NUM
ejpam-5957	390	3	)	)	PUNCT
ejpam-5957	390	4	substituting	substitute	VERB
ejpam-5957	390	5	equations	equation	NOUN
ejpam-5957	390	6	(	(	PUNCT
ejpam-5957	390	7	46	46	NUM
ejpam-5957	390	8	)	)	PUNCT
ejpam-5957	390	9	and	and	CCONJ
ejpam-5957	390	10	(	(	PUNCT
ejpam-5957	390	11	47	47	NUM
ejpam-5957	390	12	)	)	PUNCT
ejpam-5957	390	13	to	to	ADP
ejpam-5957	390	14	equation	equation	NOUN
ejpam-5957	390	15	(	(	PUNCT
ejpam-5957	390	16	45	45	NUM
ejpam-5957	390	17	)	)	PUNCT
ejpam-5957	390	18	,	,	PUNCT
ejpam-5957	390	19	we	we	PRON
ejpam-5957	390	20	get	get	VERB
ejpam-5957	390	21	b(t	b(t	NOUN
ejpam-5957	390	22	)	)	PUNCT
ejpam-5957	391	1	=	=	PUNCT
ejpam-5957	391	2	ebx(at)+bjz(at)j	ebx(at)+bjz(at)j	PROPN
ejpam-5957	391	3	1−	1−	NUM
ejpam-5957	391	4	y(eat	y(eat	NOUN
ejpam-5957	391	5	−	−	NOUN
ejpam-5957	391	6	1	1	NUM
ejpam-5957	391	7	)	)	PUNCT
ejpam-5957	391	8	·	·	PUNCT
ejpam-5957	392	1	a−1∑	a−1∑	PRON
ejpam-5957	392	2	i=0	i=0	PROPN
ejpam-5957	392	3	ebti	ebti	NOUN
ejpam-5957	392	4	·	·	PUNCT
ejpam-5957	392	5	b−1∑	b−1∑	VERB
ejpam-5957	392	6	l=0	l=0	PROPN
ejpam-5957	392	7	eatl	eatl	ADJ
ejpam-5957	392	8	·	·	PUNCT
ejpam-5957	392	9	eau(bt	eau(bt	NUM
ejpam-5957	392	10	)	)	PUNCT
ejpam-5957	392	11	1−	1−	NUM
ejpam-5957	392	12	y(ebt	y(ebt	NOUN
ejpam-5957	392	13	−	−	NOUN
ejpam-5957	392	14	1	1	NUM
ejpam-5957	392	15	)	)	PUNCT
ejpam-5957	392	16	=	=	PUNCT
ejpam-5957	392	17	ebx(at)+bjz(at)j	ebx(at)+bjz(at)j	PROPN
ejpam-5957	392	18	1−	1−	NUM
ejpam-5957	392	19	y(eat	y(eat	NOUN
ejpam-5957	392	20	−	−	NOUN
ejpam-5957	392	21	1	1	NUM
ejpam-5957	392	22	)	)	PUNCT
ejpam-5957	392	23	·	·	PUNCT
ejpam-5957	393	1	a−1∑	a−1∑	PRON
ejpam-5957	393	2	i=0	i=0	PROPN
ejpam-5957	393	3	b−1∑	b−1∑	VERB
ejpam-5957	393	4	l=0	l=0	PROPN
ejpam-5957	393	5	e	e	NOUN
ejpam-5957	393	6	(	(	PUNCT
ejpam-5957	393	7	b	b	NOUN
ejpam-5957	393	8	a	a	PRON
ejpam-5957	393	9	i+l)at	i+l)at	ADJ
ejpam-5957	393	10	·	·	PUNCT
ejpam-5957	393	11	eau(bt	eau(bt	NUM
ejpam-5957	393	12	)	)	PUNCT
ejpam-5957	393	13	1−	1−	NUM
ejpam-5957	393	14	y(ebt	y(ebt	NOUN
ejpam-5957	393	15	−	−	NOUN
ejpam-5957	393	16	1	1	NUM
ejpam-5957	393	17	)	)	PUNCT
ejpam-5957	393	18	=	=	VERB
ejpam-5957	393	19	∑a−1	∑a−1	NOUN
ejpam-5957	393	20	i=0	i=0	PROPN
ejpam-5957	393	21	∑b−1	∑b−1	X
ejpam-5957	393	22	l=0	l=0	PROPN
ejpam-5957	393	23	e	e	PROPN
ejpam-5957	393	24	(	(	PUNCT
ejpam-5957	393	25	bx+	bx+	PROPN
ejpam-5957	393	26	b	b	PROPN
ejpam-5957	393	27	a	a	DET
ejpam-5957	393	28	i+l)at+bjz(at)j	i+l)at+bjz(at)j	PROPN
ejpam-5957	393	29	1−	1−	NUM
ejpam-5957	393	30	y(eat	y(eat	NOUN
ejpam-5957	393	31	−	−	PROPN
ejpam-5957	393	32	1	1	NUM
ejpam-5957	393	33	)	)	PUNCT
ejpam-5957	393	34	·	·	PUNCT
ejpam-5957	393	35	eau(bt	eau(bt	X
ejpam-5957	393	36	)	)	PUNCT
ejpam-5957	393	37	1−	1−	NUM
ejpam-5957	393	38	y(ebt	y(ebt	NOUN
ejpam-5957	393	39	−	−	NOUN
ejpam-5957	393	40	1	1	NUM
ejpam-5957	393	41	)	)	PUNCT
ejpam-5957	393	42	.	.	PUNCT
ejpam-5957	394	1	(	(	PUNCT
ejpam-5957	394	2	48	48	NUM
ejpam-5957	394	3	)	)	PUNCT
ejpam-5957	394	4	then	then	ADV
ejpam-5957	394	5	,	,	PUNCT
ejpam-5957	394	6	by	by	ADP
ejpam-5957	394	7	applying	apply	VERB
ejpam-5957	394	8	definition	definition	NOUN
ejpam-5957	394	9	6	6	NUM
ejpam-5957	394	10	and	and	CCONJ
ejpam-5957	394	11	definition	definition	NOUN
ejpam-5957	394	12	4	4	NUM
ejpam-5957	394	13	to	to	ADP
ejpam-5957	394	14	equation	equation	NOUN
ejpam-5957	394	15	(	(	PUNCT
ejpam-5957	394	16	48	48	NUM
ejpam-5957	394	17	)	)	PUNCT
ejpam-5957	394	18	we	we	PRON
ejpam-5957	394	19	have	have	VERB
ejpam-5957	394	20	b(t	b(t	VERB
ejpam-5957	394	21	)	)	PUNCT
ejpam-5957	394	22	=	=	PUNCT
ejpam-5957	395	1	∞∑	∞∑	NUM
ejpam-5957	395	2	n=0	n=0	NUM
ejpam-5957	395	3	a−1∑	a−1∑	PRON
ejpam-5957	395	4	i=0	i=0	PROPN
ejpam-5957	395	5	b−1∑	b−1∑	ADJ
ejpam-5957	395	6	l=0	l=0	PROPN
ejpam-5957	395	7	anhf	anhf	NOUN
ejpam-5957	395	8	(	(	PUNCT
ejpam-5957	395	9	j	j	NOUN
ejpam-5957	395	10	)	)	PUNCT
ejpam-5957	395	11	n	n	PROPN
ejpam-5957	395	12	(	(	PUNCT
ejpam-5957	395	13	bx+	bx+	PROPN
ejpam-5957	395	14	b	b	PROPN
ejpam-5957	395	15	a	a	DET
ejpam-5957	395	16	i+	i+	NUM
ejpam-5957	395	17	l	l	NOUN
ejpam-5957	395	18	,	,	PUNCT
ejpam-5957	395	19	y	y	NOUN
ejpam-5957	395	20	;	;	PUNCT
ejpam-5957	395	21	bjz	bjz	NOUN
ejpam-5957	395	22	)	)	PUNCT
ejpam-5957	395	23	tn	tn	PROPN
ejpam-5957	395	24	n	n	CCONJ
ejpam-5957	395	25	!	!	PUNCT
ejpam-5957	395	26	·	·	PUNCT
ejpam-5957	396	1	∞∑	∞∑	DET
ejpam-5957	396	2	n=0	n=0	NUM
ejpam-5957	396	3	bnfn(au	bnfn(au	NOUN
ejpam-5957	396	4	,	,	PUNCT
ejpam-5957	396	5	y	y	PROPN
ejpam-5957	396	6	)	)	PUNCT
ejpam-5957	396	7	tn	tn	PROPN
ejpam-5957	396	8	n	n	PROPN
ejpam-5957	396	9	!	!	PUNCT
ejpam-5957	396	10	.	.	PUNCT
ejpam-5957	397	1	(	(	PUNCT
ejpam-5957	397	2	49	49	NUM
ejpam-5957	397	3	)	)	PUNCT
ejpam-5957	397	4	thus	thus	ADV
ejpam-5957	397	5	,	,	PUNCT
ejpam-5957	397	6	by	by	ADP
ejpam-5957	397	7	applying	apply	VERB
ejpam-5957	397	8	theorem	theorem	NOUN
ejpam-5957	397	9	3	3	NUM
ejpam-5957	397	10	to	to	ADP
ejpam-5957	397	11	equation	equation	NOUN
ejpam-5957	397	12	(	(	PUNCT
ejpam-5957	397	13	49	49	NUM
ejpam-5957	397	14	)	)	PUNCT
ejpam-5957	397	15	we	we	PRON
ejpam-5957	397	16	get	get	VERB
ejpam-5957	397	17	b(t	b(t	NOUN
ejpam-5957	397	18	)	)	PUNCT
ejpam-5957	398	1	=	=	PUNCT
ejpam-5957	399	1	∞∑	∞∑	NUM
ejpam-5957	399	2	n=0	n=0	NUM
ejpam-5957	399	3	(	(	PUNCT
ejpam-5957	399	4	n∑	n∑	NOUN
ejpam-5957	399	5	k=0	k=0	PROPN
ejpam-5957	399	6	(	(	PUNCT
ejpam-5957	399	7	n	n	X
ejpam-5957	399	8	k	k	NOUN
ejpam-5957	399	9	)	)	PUNCT
ejpam-5957	399	10	a−1∑	a−1∑	PRON
ejpam-5957	399	11	i=0	i=0	PROPN
ejpam-5957	399	12	b−1∑	b−1∑	NUM
ejpam-5957	399	13	l=0	l=0	PROPN
ejpam-5957	399	14	an−k	an−k	NOUN
ejpam-5957	399	15	hf	hf	NOUN
ejpam-5957	399	16	(	(	PUNCT
ejpam-5957	399	17	j	j	NOUN
ejpam-5957	399	18	)	)	PUNCT
ejpam-5957	399	19	n−k(bx+	n−k(bx+	PROPN
ejpam-5957	399	20	b	b	PROPN
ejpam-5957	399	21	a	a	DET
ejpam-5957	399	22	i+	i+	NUM
ejpam-5957	399	23	l	l	NOUN
ejpam-5957	399	24	,	,	PUNCT
ejpam-5957	399	25	y	y	NOUN
ejpam-5957	399	26	;	;	PUNCT
ejpam-5957	399	27	bjz	bjz	NOUN
ejpam-5957	399	28	)	)	PUNCT
ejpam-5957	399	29	·	·	PUNCT
ejpam-5957	399	30	bkfk(au	bkfk(au	PROPN
ejpam-5957	399	31	,	,	PUNCT
ejpam-5957	399	32	y	y	PROPN
ejpam-5957	399	33	)	)	PUNCT
ejpam-5957	399	34	)	)	PUNCT
ejpam-5957	399	35	tn	tn	PROPN
ejpam-5957	399	36	n	n	CCONJ
ejpam-5957	399	37	!	!	PUNCT
ejpam-5957	399	38	=	=	NOUN
ejpam-5957	400	1	∞∑	∞∑	PRON
ejpam-5957	400	2	n=0	n=0	NUM
ejpam-5957	400	3	(	(	PUNCT
ejpam-5957	400	4	n∑	n∑	NOUN
ejpam-5957	400	5	k=0	k=0	PROPN
ejpam-5957	400	6	(	(	PUNCT
ejpam-5957	400	7	n	n	X
ejpam-5957	400	8	k	k	NOUN
ejpam-5957	400	9	)	)	PUNCT
ejpam-5957	400	10	a−1∑	a−1∑	PRON
ejpam-5957	400	11	i=0	i=0	PROPN
ejpam-5957	400	12	b−1∑	b−1∑	NOUN
ejpam-5957	400	13	l=0	l=0	PROPN
ejpam-5957	400	14	bkan−k	bkan−k	X
ejpam-5957	400	15	hf	hf	NOUN
ejpam-5957	400	16	(	(	PUNCT
ejpam-5957	400	17	j	j	PROPN
ejpam-5957	400	18	)	)	PUNCT
ejpam-5957	400	19	n−k(bx+	n−k(bx+	PROPN
ejpam-5957	400	20	b	b	PROPN
ejpam-5957	400	21	a	a	DET
ejpam-5957	400	22	i+	i+	NUM
ejpam-5957	400	23	l	l	NOUN
ejpam-5957	400	24	,	,	PUNCT
ejpam-5957	400	25	y	y	PROPN
ejpam-5957	400	26	;	;	PUNCT
ejpam-5957	400	27	bjz)fk(au	bjz)fk(au	NOUN
ejpam-5957	400	28	,	,	PUNCT
ejpam-5957	400	29	y	y	NOUN
ejpam-5957	400	30	)	)	PUNCT
ejpam-5957	400	31	)	)	PUNCT
ejpam-5957	400	32	tn	tn	PROPN
ejpam-5957	400	33	n	n	PROPN
ejpam-5957	400	34	!	!	PUNCT
ejpam-5957	400	35	.	.	PUNCT
ejpam-5957	401	1	(	(	PUNCT
ejpam-5957	401	2	50	50	NUM
ejpam-5957	401	3	)	)	PUNCT
ejpam-5957	401	4	moreover	moreover	ADV
ejpam-5957	401	5	,	,	PUNCT
ejpam-5957	401	6	note	note	VERB
ejpam-5957	401	7	that	that	SCONJ
ejpam-5957	401	8	b(t	b(t	NOUN
ejpam-5957	401	9	)	)	PUNCT
ejpam-5957	401	10	can	can	AUX
ejpam-5957	401	11	also	also	ADV
ejpam-5957	401	12	be	be	AUX
ejpam-5957	401	13	expressed	express	VERB
ejpam-5957	401	14	as	as	SCONJ
ejpam-5957	401	15	follows	follow	VERB
ejpam-5957	401	16	b(t	b(t	NOUN
ejpam-5957	401	17	)	)	PUNCT
ejpam-5957	402	1	=	=	PUNCT
ejpam-5957	402	2	eab(x+u)t+ajbjztj	eab(x+u)t+ajbjztj	PROPN
ejpam-5957	402	3	(	(	PUNCT
ejpam-5957	402	4	eabt	eabt	ADV
ejpam-5957	402	5	−	−	PROPN
ejpam-5957	402	6	1)2	1)2	NUM
ejpam-5957	402	7	(	(	PUNCT
ejpam-5957	402	8	1−	1−	NUM
ejpam-5957	402	9	y(eat	y(eat	NOUN
ejpam-5957	402	10	−	−	PROPN
ejpam-5957	402	11	1))(1−	1))(1−	NUM
ejpam-5957	402	12	y(ebt	y(ebt	NOUN
ejpam-5957	402	13	−	−	PROPN
ejpam-5957	403	1	1))(eat	1))(eat	NUM
ejpam-5957	403	2	−	−	NUM
ejpam-5957	403	3	1)(ebt	1)(ebt	NUM
ejpam-5957	403	4	−	−	NOUN
ejpam-5957	403	5	1	1	NUM
ejpam-5957	403	6	)	)	PUNCT
ejpam-5957	403	7	=	=	SYM
ejpam-5957	403	8	eabxt+ajbjztj	eabxt+ajbjztj	PROPN
ejpam-5957	403	9	1−	1−	NUM
ejpam-5957	404	1	y(ebt	y(ebt	NOUN
ejpam-5957	404	2	−	−	NOUN
ejpam-5957	404	3	1	1	NUM
ejpam-5957	404	4	)	)	PUNCT
ejpam-5957	404	5	·	·	PUNCT
ejpam-5957	405	1	(	(	PUNCT
ejpam-5957	405	2	e	e	AUX
ejpam-5957	405	3	at)b	at)b	PROPN
ejpam-5957	405	4	−	−	NOUN
ejpam-5957	405	5	1	1	NUM
ejpam-5957	405	6	eat	eat	VERB
ejpam-5957	405	7	−	−	PROPN
ejpam-5957	405	8	1	1	NUM
ejpam-5957	405	9	·	·	PUNCT
ejpam-5957	405	10	(	(	PUNCT
ejpam-5957	405	11	e	e	X
ejpam-5957	405	12	bt)a	bt)a	NOUN
ejpam-5957	405	13	−	−	PROPN
ejpam-5957	405	14	1	1	NUM
ejpam-5957	405	15	ebt	ebt	PROPN
ejpam-5957	405	16	−	−	PROPN
ejpam-5957	405	17	1	1	NUM
ejpam-5957	405	18	·	·	PUNCT
ejpam-5957	405	19	eabut	eabut	NOUN
ejpam-5957	405	20	1−	1−	NUM
ejpam-5957	405	21	y(eat	y(eat	NOUN
ejpam-5957	405	22	−	−	PROPN
ejpam-5957	405	23	1	1	NUM
ejpam-5957	405	24	)	)	PUNCT
ejpam-5957	405	25	.	.	PUNCT
ejpam-5957	406	1	(	(	PUNCT
ejpam-5957	406	2	51	51	NUM
ejpam-5957	406	3	)	)	PUNCT
ejpam-5957	406	4	again	again	ADV
ejpam-5957	406	5	,	,	PUNCT
ejpam-5957	406	6	by	by	ADP
ejpam-5957	406	7	using	use	VERB
ejpam-5957	406	8	example	example	NOUN
ejpam-5957	406	9	2	2	NUM
ejpam-5957	406	10	b−1∑	b−1∑	NOUN
ejpam-5957	406	11	i=0	i=0	PROPN
ejpam-5957	406	12	eati	eati	X
ejpam-5957	406	13	=	=	SYM
ejpam-5957	406	14	(	(	PUNCT
ejpam-5957	406	15	eat)b	eat)b	PROPN
ejpam-5957	406	16	−	−	PROPN
ejpam-5957	406	17	1	1	NUM
ejpam-5957	406	18	eat	eat	VERB
ejpam-5957	406	19	−	−	PROPN
ejpam-5957	406	20	1	1	NUM
ejpam-5957	406	21	,	,	PUNCT
ejpam-5957	406	22	(	(	PUNCT
ejpam-5957	406	23	52	52	NUM
ejpam-5957	407	1	)	)	PUNCT
ejpam-5957	407	2	r.	r.	PROPN
ejpam-5957	407	3	g.	g.	PROPN
ejpam-5957	407	4	bago	bago	PROPN
ejpam-5957	407	5	,	,	PUNCT
ejpam-5957	407	6	n.	n.	PROPN
ejpam-5957	407	7	s.	s.	PROPN
ejpam-5957	407	8	abdulcarim	abdulcarim	PROPN
ejpam-5957	407	9	/	/	SYM
ejpam-5957	407	10	eur	eur	PROPN
ejpam-5957	407	11	.	.	PUNCT
ejpam-5957	408	1	j.	j.	PROPN
ejpam-5957	408	2	pure	pure	PROPN
ejpam-5957	408	3	appl	appl	PROPN
ejpam-5957	408	4	.	.	PROPN
ejpam-5957	408	5	math	math	PROPN
ejpam-5957	408	6	,	,	PUNCT
ejpam-5957	408	7	18	18	NUM
ejpam-5957	408	8	(	(	PUNCT
ejpam-5957	408	9	2	2	NUM
ejpam-5957	408	10	)	)	PUNCT
ejpam-5957	408	11	(	(	PUNCT
ejpam-5957	408	12	2025	2025	NUM
ejpam-5957	408	13	)	)	PUNCT
ejpam-5957	408	14	,	,	PUNCT
ejpam-5957	408	15	5957	5957	NUM
ejpam-5957	408	16	16	16	NUM
ejpam-5957	408	17	of	of	ADP
ejpam-5957	408	18	25	25	NUM
ejpam-5957	408	19	and	and	CCONJ
ejpam-5957	408	20	a−1∑	a−1∑	PRON
ejpam-5957	408	21	l=0	l=0	PROPN
ejpam-5957	408	22	ebtl	ebtl	NOUN
ejpam-5957	408	23	=	=	SYM
ejpam-5957	408	24	(	(	PUNCT
ejpam-5957	408	25	ebt)a	ebt)a	NOUN
ejpam-5957	408	26	−	−	PROPN
ejpam-5957	408	27	1	1	NUM
ejpam-5957	408	28	ebt	ebt	PROPN
ejpam-5957	408	29	−	−	PROPN
ejpam-5957	408	30	1	1	NUM
ejpam-5957	408	31	.	.	PUNCT
ejpam-5957	409	1	(	(	PUNCT
ejpam-5957	409	2	53	53	NUM
ejpam-5957	409	3	)	)	PUNCT
ejpam-5957	409	4	substituting	substitute	VERB
ejpam-5957	409	5	equations	equation	NOUN
ejpam-5957	409	6	(	(	PUNCT
ejpam-5957	409	7	52	52	NUM
ejpam-5957	409	8	)	)	PUNCT
ejpam-5957	409	9	and	and	CCONJ
ejpam-5957	409	10	(	(	PUNCT
ejpam-5957	409	11	53	53	NUM
ejpam-5957	409	12	)	)	PUNCT
ejpam-5957	409	13	to	to	ADP
ejpam-5957	409	14	equation	equation	NOUN
ejpam-5957	409	15	(	(	PUNCT
ejpam-5957	409	16	51	51	NUM
ejpam-5957	409	17	)	)	PUNCT
ejpam-5957	409	18	,	,	PUNCT
ejpam-5957	409	19	we	we	PRON
ejpam-5957	409	20	get	get	VERB
ejpam-5957	409	21	b(t	b(t	NOUN
ejpam-5957	409	22	)	)	PUNCT
ejpam-5957	410	1	=	=	PRON
ejpam-5957	410	2	eax(bt)+ajz(bt)j	eax(bt)+ajz(bt)j	VERB
ejpam-5957	410	3	1−	1−	NUM
ejpam-5957	410	4	y(ebt	y(ebt	NOUN
ejpam-5957	410	5	−	−	NOUN
ejpam-5957	410	6	1	1	NUM
ejpam-5957	410	7	)	)	PUNCT
ejpam-5957	410	8	·	·	PUNCT
ejpam-5957	411	1	b−1∑	b−1∑	VERB
ejpam-5957	411	2	i=0	i=0	PROPN
ejpam-5957	411	3	eati	eati	X
ejpam-5957	411	4	·	·	PUNCT
ejpam-5957	411	5	a−1∑	a−1∑	PRON
ejpam-5957	411	6	l=0	l=0	PROPN
ejpam-5957	411	7	ebtl	ebtl	X
ejpam-5957	411	8	·	·	PUNCT
ejpam-5957	411	9	ebu(at	ebu(at	NOUN
ejpam-5957	411	10	)	)	PUNCT
ejpam-5957	411	11	1−	1−	NUM
ejpam-5957	411	12	y(eat	y(eat	NOUN
ejpam-5957	411	13	−	−	NOUN
ejpam-5957	411	14	1	1	NUM
ejpam-5957	411	15	)	)	PUNCT
ejpam-5957	411	16	=	=	NUM
ejpam-5957	411	17	∑b−1	∑b−1	NOUN
ejpam-5957	411	18	i=0	i=0	PROPN
ejpam-5957	411	19	∑a−1	∑a−1	X
ejpam-5957	411	20	l=0	l=0	PROPN
ejpam-5957	411	21	e	e	PROPN
ejpam-5957	411	22	(	(	PUNCT
ejpam-5957	411	23	a	a	DET
ejpam-5957	411	24	b	b	X
ejpam-5957	411	25	i+l)bteax(bt)+ajz(bt)j	i+l)bteax(bt)+ajz(bt)j	ADJ
ejpam-5957	411	26	1−	1−	NUM
ejpam-5957	411	27	y(ebt	y(ebt	NOUN
ejpam-5957	411	28	−	−	NOUN
ejpam-5957	411	29	1	1	NUM
ejpam-5957	411	30	)	)	PUNCT
ejpam-5957	411	31	·	·	PUNCT
ejpam-5957	411	32	ebu(at	ebu(at	NOUN
ejpam-5957	411	33	)	)	PUNCT
ejpam-5957	411	34	1−	1−	NUM
ejpam-5957	411	35	y(eat	y(eat	NOUN
ejpam-5957	411	36	−	−	NOUN
ejpam-5957	411	37	1	1	NUM
ejpam-5957	411	38	)	)	PUNCT
ejpam-5957	411	39	=	=	NUM
ejpam-5957	411	40	∑b−1	∑b−1	NOUN
ejpam-5957	411	41	i=0	i=0	PROPN
ejpam-5957	411	42	∑a−1	∑a−1	X
ejpam-5957	411	43	l=0	l=0	PROPN
ejpam-5957	411	44	e(ax+	e(ax+	ADV
ejpam-5957	411	45	a	a	DET
ejpam-5957	411	46	b	b	NOUN
ejpam-5957	411	47	i+l)bt+ajz(bt)j	i+l)bt+ajz(bt)j	PROPN
ejpam-5957	411	48	1−	1−	NUM
ejpam-5957	411	49	y(ebt	y(ebt	NOUN
ejpam-5957	411	50	−	−	NOUN
ejpam-5957	411	51	1	1	NUM
ejpam-5957	411	52	)	)	PUNCT
ejpam-5957	411	53	·	·	PUNCT
ejpam-5957	411	54	ebu(at	ebu(at	NOUN
ejpam-5957	411	55	)	)	PUNCT
ejpam-5957	411	56	1−	1−	NUM
ejpam-5957	411	57	y(eat	y(eat	NOUN
ejpam-5957	411	58	−	−	NOUN
ejpam-5957	411	59	1	1	NUM
ejpam-5957	411	60	)	)	PUNCT
ejpam-5957	411	61	.	.	PUNCT
ejpam-5957	412	1	(	(	PUNCT
ejpam-5957	412	2	54	54	NUM
ejpam-5957	412	3	)	)	PUNCT
ejpam-5957	412	4	applying	apply	VERB
ejpam-5957	412	5	definition	definition	NOUN
ejpam-5957	412	6	6	6	NUM
ejpam-5957	412	7	and	and	CCONJ
ejpam-5957	412	8	definition	definition	NOUN
ejpam-5957	412	9	4	4	NUM
ejpam-5957	412	10	to	to	PART
ejpam-5957	412	11	(	(	PUNCT
ejpam-5957	412	12	54	54	NUM
ejpam-5957	412	13	)	)	PUNCT
ejpam-5957	412	14	,	,	PUNCT
ejpam-5957	412	15	gives	give	VERB
ejpam-5957	412	16	b(t	b(t	PROPN
ejpam-5957	412	17	)	)	PUNCT
ejpam-5957	413	1	=	=	PUNCT
ejpam-5957	414	1	∞∑	∞∑	NUM
ejpam-5957	414	2	n=0	n=0	NUM
ejpam-5957	414	3	a−1∑	a−1∑	PRON
ejpam-5957	414	4	l=0	l=0	PROPN
ejpam-5957	414	5	b−1∑	b−1∑	VERB
ejpam-5957	414	6	i=0	i=0	PROPN
ejpam-5957	414	7	bnhf	bnhf	NOUN
ejpam-5957	414	8	(	(	PUNCT
ejpam-5957	414	9	j	j	NOUN
ejpam-5957	414	10	)	)	PUNCT
ejpam-5957	414	11	n	n	PROPN
ejpam-5957	414	12	(	(	PUNCT
ejpam-5957	414	13	ax+	ax+	VERB
ejpam-5957	414	14	a	a	DET
ejpam-5957	414	15	b	b	NOUN
ejpam-5957	414	16	i+	i+	PROPN
ejpam-5957	414	17	l	l	NOUN
ejpam-5957	414	18	,	,	PUNCT
ejpam-5957	414	19	y	y	NOUN
ejpam-5957	414	20	;	;	PUNCT
ejpam-5957	414	21	ajz	ajz	ADJ
ejpam-5957	414	22	)	)	PUNCT
ejpam-5957	414	23	tn	tn	PROPN
ejpam-5957	414	24	n	n	CCONJ
ejpam-5957	414	25	!	!	PUNCT
ejpam-5957	414	26	·	·	PUNCT
ejpam-5957	415	1	∞∑	∞∑	PRON
ejpam-5957	415	2	n=0	n=0	PROPN
ejpam-5957	415	3	anfn(bu	anfn(bu	NOUN
ejpam-5957	415	4	,	,	PUNCT
ejpam-5957	415	5	y	y	PROPN
ejpam-5957	415	6	)	)	PUNCT
ejpam-5957	415	7	tn	tn	PROPN
ejpam-5957	415	8	n	n	PROPN
ejpam-5957	415	9	!	!	PUNCT
ejpam-5957	415	10	.	.	PUNCT
ejpam-5957	416	1	(	(	PUNCT
ejpam-5957	416	2	55	55	NUM
ejpam-5957	416	3	)	)	PUNCT
ejpam-5957	416	4	we	we	PRON
ejpam-5957	416	5	then	then	ADV
ejpam-5957	416	6	apply	apply	VERB
ejpam-5957	416	7	the	the	DET
ejpam-5957	416	8	theorem	theorem	NOUN
ejpam-5957	416	9	3	3	NUM
ejpam-5957	416	10	to	to	ADP
ejpam-5957	416	11	equation	equation	NOUN
ejpam-5957	416	12	(	(	PUNCT
ejpam-5957	416	13	55	55	NUM
ejpam-5957	416	14	)	)	PUNCT
ejpam-5957	416	15	and	and	CCONJ
ejpam-5957	416	16	obtain	obtain	VERB
ejpam-5957	416	17	b(t	b(t	NOUN
ejpam-5957	416	18	)	)	PUNCT
ejpam-5957	416	19	=	=	PUNCT
ejpam-5957	417	1	∞∑	∞∑	NUM
ejpam-5957	417	2	n=0	n=0	NUM
ejpam-5957	417	3	(	(	PUNCT
ejpam-5957	417	4	n∑	n∑	NOUN
ejpam-5957	417	5	k=0	k=0	PROPN
ejpam-5957	417	6	(	(	PUNCT
ejpam-5957	417	7	n	n	X
ejpam-5957	417	8	k	k	NOUN
ejpam-5957	417	9	)	)	PUNCT
ejpam-5957	417	10	a−1∑	a−1∑	PRON
ejpam-5957	418	1	l=0	l=0	PROPN
ejpam-5957	418	2	b−1∑	b−1∑	VERB
ejpam-5957	418	3	i=0	i=0	PROPN
ejpam-5957	418	4	akbn−k	akbn−k	PROPN
ejpam-5957	418	5	hf	hf	PROPN
ejpam-5957	418	6	(	(	PUNCT
ejpam-5957	418	7	j	j	NOUN
ejpam-5957	418	8	)	)	PUNCT
ejpam-5957	418	9	n−k(ax+	n−k(ax+	ADV
ejpam-5957	418	10	a	a	DET
ejpam-5957	418	11	b	b	NOUN
ejpam-5957	418	12	i+	i+	NUM
ejpam-5957	418	13	l	l	NOUN
ejpam-5957	418	14	,	,	PUNCT
ejpam-5957	418	15	y	y	PROPN
ejpam-5957	418	16	;	;	PUNCT
ejpam-5957	418	17	ajz)fk(bu	ajz)fk(bu	PROPN
ejpam-5957	418	18	,	,	PUNCT
ejpam-5957	418	19	y	y	NOUN
ejpam-5957	418	20	)	)	PUNCT
ejpam-5957	418	21	)	)	PUNCT
ejpam-5957	418	22	tn	tn	PROPN
ejpam-5957	418	23	n	n	PROPN
ejpam-5957	418	24	!	!	PUNCT
ejpam-5957	418	25	.	.	PUNCT
ejpam-5957	419	1	(	(	PUNCT
ejpam-5957	419	2	56	56	X
ejpam-5957	419	3	)	)	PUNCT
ejpam-5957	419	4	furthermore	furthermore	ADV
ejpam-5957	419	5	,	,	PUNCT
ejpam-5957	419	6	equating	equate	VERB
ejpam-5957	419	7	(	(	PUNCT
ejpam-5957	419	8	50	50	NUM
ejpam-5957	419	9	)	)	PUNCT
ejpam-5957	419	10	and	and	CCONJ
ejpam-5957	419	11	(	(	PUNCT
ejpam-5957	419	12	56	56	NUM
ejpam-5957	419	13	)	)	PUNCT
ejpam-5957	419	14	yields	yield	VERB
ejpam-5957	419	15	∞∑	∞∑	NUM
ejpam-5957	419	16	n=0	n=0	NUM
ejpam-5957	419	17	(	(	PUNCT
ejpam-5957	419	18	n∑	n∑	NOUN
ejpam-5957	419	19	k=0	k=0	PROPN
ejpam-5957	419	20	(	(	PUNCT
ejpam-5957	419	21	n	n	X
ejpam-5957	419	22	k	k	NOUN
ejpam-5957	419	23	)	)	PUNCT
ejpam-5957	419	24	a−1∑	a−1∑	PRON
ejpam-5957	419	25	i=0	i=0	PROPN
ejpam-5957	419	26	b−1∑	b−1∑	NOUN
ejpam-5957	419	27	l=0	l=0	PROPN
ejpam-5957	419	28	bkan−k	bkan−k	X
ejpam-5957	419	29	hf	hf	NOUN
ejpam-5957	419	30	(	(	PUNCT
ejpam-5957	419	31	j	j	PROPN
ejpam-5957	419	32	)	)	PUNCT
ejpam-5957	419	33	n−k(bx+	n−k(bx+	PROPN
ejpam-5957	419	34	b	b	PROPN
ejpam-5957	419	35	a	a	DET
ejpam-5957	419	36	i+	i+	NUM
ejpam-5957	419	37	l	l	NOUN
ejpam-5957	419	38	,	,	PUNCT
ejpam-5957	419	39	y	y	PROPN
ejpam-5957	419	40	;	;	PUNCT
ejpam-5957	419	41	bjz)fk(au	bjz)fk(au	NOUN
ejpam-5957	419	42	,	,	PUNCT
ejpam-5957	419	43	y	y	NOUN
ejpam-5957	419	44	)	)	PUNCT
ejpam-5957	419	45	)	)	PUNCT
ejpam-5957	419	46	tn	tn	PROPN
ejpam-5957	419	47	n	n	CCONJ
ejpam-5957	419	48	!	!	PUNCT
ejpam-5957	420	1	=	=	NOUN
ejpam-5957	421	1	∞∑	∞∑	PRON
ejpam-5957	421	2	n=0	n=0	NUM
ejpam-5957	421	3	(	(	PUNCT
ejpam-5957	421	4	n∑	n∑	NOUN
ejpam-5957	421	5	k=0	k=0	PROPN
ejpam-5957	421	6	(	(	PUNCT
ejpam-5957	421	7	n	n	X
ejpam-5957	421	8	k	k	NOUN
ejpam-5957	421	9	)	)	PUNCT
ejpam-5957	421	10	a−1∑	a−1∑	PRON
ejpam-5957	421	11	l=0	l=0	PROPN
ejpam-5957	421	12	b−1∑	b−1∑	VERB
ejpam-5957	421	13	i=0	i=0	PROPN
ejpam-5957	421	14	akbn−k	akbn−k	PROPN
ejpam-5957	421	15	hf	hf	PROPN
ejpam-5957	421	16	(	(	PUNCT
ejpam-5957	421	17	j	j	NOUN
ejpam-5957	421	18	)	)	PUNCT
ejpam-5957	421	19	n−k(ax+	n−k(ax+	ADV
ejpam-5957	421	20	a	a	DET
ejpam-5957	421	21	b	b	NOUN
ejpam-5957	421	22	i+	i+	NUM
ejpam-5957	421	23	l	l	NOUN
ejpam-5957	421	24	,	,	PUNCT
ejpam-5957	421	25	y	y	PROPN
ejpam-5957	421	26	;	;	PUNCT
ejpam-5957	421	27	ajz)fk(bu	ajz)fk(bu	PROPN
ejpam-5957	421	28	,	,	PUNCT
ejpam-5957	421	29	y	y	NOUN
ejpam-5957	421	30	)	)	PUNCT
ejpam-5957	421	31	)	)	PUNCT
ejpam-5957	421	32	tn	tn	PROPN
ejpam-5957	421	33	n	n	PROPN
ejpam-5957	421	34	!	!	PUNCT
ejpam-5957	421	35	.	.	PUNCT
ejpam-5957	422	1	(	(	PUNCT
ejpam-5957	422	2	57	57	NUM
ejpam-5957	422	3	)	)	PUNCT
ejpam-5957	422	4	finally	finally	ADV
ejpam-5957	422	5	,	,	PUNCT
ejpam-5957	422	6	comparing	compare	VERB
ejpam-5957	422	7	the	the	DET
ejpam-5957	422	8	coefficients	coefficient	NOUN
ejpam-5957	422	9	of	of	ADP
ejpam-5957	422	10	tn	tn	NOUN
ejpam-5957	422	11	n	n	CCONJ
ejpam-5957	422	12	!	!	PUNCT
ejpam-5957	423	1	we	we	PRON
ejpam-5957	423	2	obtain	obtain	VERB
ejpam-5957	423	3	(	(	PUNCT
ejpam-5957	423	4	44	44	NUM
ejpam-5957	423	5	)	)	PUNCT
ejpam-5957	423	6	.	.	PUNCT
ejpam-5957	424	1	the	the	DET
ejpam-5957	424	2	following	follow	VERB
ejpam-5957	424	3	theorem	theorem	NOUN
ejpam-5957	424	4	is	be	AUX
ejpam-5957	424	5	the	the	DET
ejpam-5957	424	6	recurrence	recurrence	NOUN
ejpam-5957	424	7	relation	relation	NOUN
ejpam-5957	424	8	for	for	ADP
ejpam-5957	424	9	gould	gould	NOUN
ejpam-5957	424	10	-	-	PUNCT
ejpam-5957	424	11	hopper	hopper	NOUN
ejpam-5957	424	12	-	-	PUNCT
ejpam-5957	424	13	based	base	VERB
ejpam-5957	424	14	bivariate	bivariate	ADJ
ejpam-5957	424	15	fubini	fubini	ADJ
ejpam-5957	424	16	polynomials	polynomial	NOUN
ejpam-5957	424	17	in	in	ADP
ejpam-5957	424	18	the	the	DET
ejpam-5957	424	19	coming	come	VERB
ejpam-5957	424	20	theorem	theorem	NOUN
ejpam-5957	424	21	.	.	PUNCT
ejpam-5957	424	22	theorem	theorem	PROPN
ejpam-5957	424	23	17	17	NUM
ejpam-5957	424	24	.	.	PUNCT
ejpam-5957	425	1	the	the	DET
ejpam-5957	425	2	gould	gould	PROPN
ejpam-5957	425	3	-	-	PUNCT
ejpam-5957	425	4	hopper	hopper	NOUN
ejpam-5957	425	5	-	-	PUNCT
ejpam-5957	425	6	based	base	VERB
ejpam-5957	425	7	bivariate	bivariate	ADJ
ejpam-5957	425	8	fubini	fubini	ADJ
ejpam-5957	425	9	polynomials	polynomial	NOUN
ejpam-5957	425	10	satisfy	satisfy	VERB
ejpam-5957	425	11	the	the	DET
ejpam-5957	425	12	following	follow	VERB
ejpam-5957	425	13	recurrence	recurrence	NOUN
ejpam-5957	425	14	relation	relation	NOUN
ejpam-5957	425	15	:	:	PUNCT
ejpam-5957	425	16	hf	hf	PROPN
ejpam-5957	425	17	(	(	PUNCT
ejpam-5957	425	18	j	j	PROPN
ejpam-5957	425	19	)	)	PUNCT
ejpam-5957	425	20	n+1(x	n+1(x	PROPN
ejpam-5957	425	21	,	,	PUNCT
ejpam-5957	425	22	y	y	PROPN
ejpam-5957	425	23	;	;	PUNCT
ejpam-5957	425	24	z	z	X
ejpam-5957	425	25	)	)	PUNCT
ejpam-5957	425	26	=	=	SYM
ejpam-5957	426	1	n∑	n∑	PROPN
ejpam-5957	426	2	m=0	m=0	PROPN
ejpam-5957	426	3	(	(	PUNCT
ejpam-5957	426	4	n	n	NOUN
ejpam-5957	426	5	m	m	VERB
ejpam-5957	426	6	)	)	PUNCT
ejpam-5957	426	7	yhf	yhf	INTJ
ejpam-5957	426	8	(	(	PUNCT
ejpam-5957	426	9	j	j	NOUN
ejpam-5957	426	10	)	)	PUNCT
ejpam-5957	426	11	n	n	CCONJ
ejpam-5957	426	12	(	(	PUNCT
ejpam-5957	426	13	x+	x+	PROPN
ejpam-5957	426	14	1	1	NUM
ejpam-5957	426	15	,	,	PUNCT
ejpam-5957	426	16	y	y	NOUN
ejpam-5957	426	17	;	;	PUNCT
ejpam-5957	426	18	z)fn−m(y	z)fn−m(y	PUNCT
ejpam-5957	426	19	)	)	PUNCT
ejpam-5957	427	1	+	+	CCONJ
ejpam-5957	427	2	xhf	xhf	NOUN
ejpam-5957	427	3	(	(	PUNCT
ejpam-5957	427	4	j	j	PROPN
ejpam-5957	427	5	)	)	PUNCT
ejpam-5957	427	6	n	n	PROPN
ejpam-5957	427	7	(	(	PUNCT
ejpam-5957	427	8	x	x	X
ejpam-5957	427	9	,	,	PUNCT
ejpam-5957	427	10	y	y	PROPN
ejpam-5957	427	11	;	;	PUNCT
ejpam-5957	427	12	z	z	X
ejpam-5957	427	13	)	)	PUNCT
ejpam-5957	427	14	+	+	CCONJ
ejpam-5957	427	15	jz(n)j+1hf	jz(n)j+1hf	PROPN
ejpam-5957	427	16	(	(	PUNCT
ejpam-5957	427	17	j	j	PROPN
ejpam-5957	427	18	)	)	PUNCT
ejpam-5957	427	19	n−j+1(x	n−j+1(x	PROPN
ejpam-5957	427	20	,	,	PUNCT
ejpam-5957	427	21	y	y	NOUN
ejpam-5957	427	22	;	;	PUNCT
ejpam-5957	427	23	z	z	NOUN
ejpam-5957	427	24	)	)	PUNCT
ejpam-5957	427	25	.	.	PUNCT
ejpam-5957	428	1	r.	r.	PROPN
ejpam-5957	428	2	g.	g.	PROPN
ejpam-5957	428	3	bago	bago	PROPN
ejpam-5957	428	4	,	,	PUNCT
ejpam-5957	428	5	n.	n.	PROPN
ejpam-5957	428	6	s.	s.	PROPN
ejpam-5957	428	7	abdulcarim	abdulcarim	PROPN
ejpam-5957	428	8	/	/	SYM
ejpam-5957	428	9	eur	eur	PROPN
ejpam-5957	428	10	.	.	PUNCT
ejpam-5957	429	1	j.	j.	PROPN
ejpam-5957	429	2	pure	pure	PROPN
ejpam-5957	429	3	appl	appl	PROPN
ejpam-5957	429	4	.	.	PROPN
ejpam-5957	429	5	math	math	PROPN
ejpam-5957	429	6	,	,	PUNCT
ejpam-5957	429	7	18	18	NUM
ejpam-5957	429	8	(	(	PUNCT
ejpam-5957	429	9	2	2	NUM
ejpam-5957	429	10	)	)	PUNCT
ejpam-5957	429	11	(	(	PUNCT
ejpam-5957	429	12	2025	2025	NUM
ejpam-5957	429	13	)	)	PUNCT
ejpam-5957	429	14	,	,	PUNCT
ejpam-5957	429	15	5957	5957	NUM
ejpam-5957	429	16	17	17	NUM
ejpam-5957	429	17	of	of	ADP
ejpam-5957	429	18	25	25	NUM
ejpam-5957	429	19	proof	proof	NOUN
ejpam-5957	429	20	.	.	PUNCT
ejpam-5957	430	1	note	note	VERB
ejpam-5957	430	2	that	that	SCONJ
ejpam-5957	430	3	ext+ztj	ext+ztj	PROPN
ejpam-5957	430	4	1−	1−	NUM
ejpam-5957	430	5	y(et	y(et	NOUN
ejpam-5957	430	6	−	−	PROPN
ejpam-5957	430	7	1	1	NUM
ejpam-5957	430	8	)	)	PUNCT
ejpam-5957	430	9	=	=	NOUN
ejpam-5957	431	1	∞∑	∞∑	ADJ
ejpam-5957	431	2	n=0	n=0	NUM
ejpam-5957	431	3	hf	hf	NOUN
ejpam-5957	431	4	(	(	PUNCT
ejpam-5957	431	5	j	j	NOUN
ejpam-5957	431	6	)	)	PUNCT
ejpam-5957	431	7	n	n	PROPN
ejpam-5957	431	8	(	(	PUNCT
ejpam-5957	431	9	x	x	X
ejpam-5957	431	10	,	,	PUNCT
ejpam-5957	431	11	y	y	PROPN
ejpam-5957	431	12	;	;	PUNCT
ejpam-5957	431	13	z	z	X
ejpam-5957	431	14	)	)	PUNCT
ejpam-5957	431	15	tn	tn	PROPN
ejpam-5957	431	16	n	n	CCONJ
ejpam-5957	431	17	!	!	PUNCT
ejpam-5957	431	18	.	.	PUNCT
ejpam-5957	432	1	differentiating	differentiate	VERB
ejpam-5957	432	2	both	both	DET
ejpam-5957	432	3	sides	side	NOUN
ejpam-5957	432	4	with	with	ADP
ejpam-5957	432	5	respect	respect	NOUN
ejpam-5957	432	6	to	to	ADP
ejpam-5957	432	7	t	t	PROPN
ejpam-5957	432	8	,	,	PUNCT
ejpam-5957	432	9	we	we	PRON
ejpam-5957	432	10	have	have	VERB
ejpam-5957	432	11	d	d	NOUN
ejpam-5957	432	12	dt	dt	X
ejpam-5957	433	1	[	[	PUNCT
ejpam-5957	433	2	ext+ztj	ext+ztj	ADJ
ejpam-5957	433	3	1−	1−	NUM
ejpam-5957	433	4	y(et	y(et	NOUN
ejpam-5957	433	5	−	−	PROPN
ejpam-5957	433	6	1	1	NUM
ejpam-5957	433	7	)	)	PUNCT
ejpam-5957	433	8	]	]	PUNCT
ejpam-5957	434	1	=	=	PUNCT
ejpam-5957	434	2	d	d	X
ejpam-5957	434	3	dt	dt	X
ejpam-5957	434	4	[	[	PUNCT
ejpam-5957	434	5	∞∑	∞∑	PROPN
ejpam-5957	434	6	n=0	n=0	NUM
ejpam-5957	434	7	hf	hf	NOUN
ejpam-5957	434	8	(	(	PUNCT
ejpam-5957	434	9	j	j	NOUN
ejpam-5957	434	10	)	)	PUNCT
ejpam-5957	434	11	n	n	PROPN
ejpam-5957	434	12	(	(	PUNCT
ejpam-5957	434	13	x	x	X
ejpam-5957	434	14	,	,	PUNCT
ejpam-5957	434	15	y	y	PROPN
ejpam-5957	434	16	;	;	PUNCT
ejpam-5957	434	17	z	z	X
ejpam-5957	434	18	)	)	PUNCT
ejpam-5957	434	19	tn	tn	PROPN
ejpam-5957	434	20	n	n	NUM
ejpam-5957	434	21	!	!	PUNCT
ejpam-5957	434	22	]	]	PUNCT
ejpam-5957	435	1	=	=	PUNCT
ejpam-5957	436	1	∞∑	∞∑	NUM
ejpam-5957	436	2	n=0	n=0	NUM
ejpam-5957	436	3	d	d	NOUN
ejpam-5957	436	4	dt	dt	X
ejpam-5957	436	5	[	[	PUNCT
ejpam-5957	436	6	hf	hf	X
ejpam-5957	436	7	(	(	PUNCT
ejpam-5957	436	8	j	j	NOUN
ejpam-5957	436	9	)	)	PUNCT
ejpam-5957	436	10	n	n	PROPN
ejpam-5957	436	11	(	(	PUNCT
ejpam-5957	436	12	x	x	X
ejpam-5957	436	13	,	,	PUNCT
ejpam-5957	436	14	y	y	PROPN
ejpam-5957	436	15	;	;	PUNCT
ejpam-5957	436	16	z	z	X
ejpam-5957	436	17	)	)	PUNCT
ejpam-5957	436	18	tn	tn	PROPN
ejpam-5957	436	19	n	n	NUM
ejpam-5957	436	20	!	!	PUNCT
ejpam-5957	436	21	]	]	PUNCT
ejpam-5957	436	22	.	.	PUNCT
ejpam-5957	437	1	(	(	PUNCT
ejpam-5957	437	2	58	58	NUM
ejpam-5957	437	3	)	)	PUNCT
ejpam-5957	437	4	now	now	ADV
ejpam-5957	437	5	,	,	PUNCT
ejpam-5957	437	6	for	for	ADP
ejpam-5957	437	7	n	n	PRON
ejpam-5957	437	8	≥	≥	NUM
ejpam-5957	437	9	1	1	NUM
ejpam-5957	437	10	,	,	PUNCT
ejpam-5957	437	11	d	d	NOUN
ejpam-5957	437	12	dt	dt	X
ejpam-5957	437	13	[	[	PUNCT
ejpam-5957	437	14	hf	hf	X
ejpam-5957	437	15	(	(	PUNCT
ejpam-5957	437	16	j	j	NOUN
ejpam-5957	437	17	)	)	PUNCT
ejpam-5957	437	18	n	n	PROPN
ejpam-5957	437	19	(	(	PUNCT
ejpam-5957	437	20	x	x	X
ejpam-5957	437	21	,	,	PUNCT
ejpam-5957	437	22	y	y	PROPN
ejpam-5957	437	23	;	;	PUNCT
ejpam-5957	437	24	z	z	X
ejpam-5957	437	25	)	)	PUNCT
ejpam-5957	437	26	tn	tn	PROPN
ejpam-5957	437	27	n	n	NUM
ejpam-5957	437	28	!	!	PUNCT
ejpam-5957	437	29	]	]	PUNCT
ejpam-5957	438	1	=	=	PUNCT
ejpam-5957	438	2	nhf	nhf	X
ejpam-5957	438	3	(	(	PUNCT
ejpam-5957	438	4	j	j	NOUN
ejpam-5957	438	5	)	)	PUNCT
ejpam-5957	438	6	n	n	PROPN
ejpam-5957	438	7	(	(	PUNCT
ejpam-5957	438	8	x	x	X
ejpam-5957	438	9	,	,	PUNCT
ejpam-5957	438	10	y	y	PROPN
ejpam-5957	438	11	;	;	PUNCT
ejpam-5957	438	12	z	z	X
ejpam-5957	438	13	)	)	PUNCT
ejpam-5957	438	14	tn−1	tn−1	PROPN
ejpam-5957	438	15	n	n	CCONJ
ejpam-5957	438	16	!	!	PUNCT
ejpam-5957	438	17	.	.	PUNCT
ejpam-5957	439	1	(	(	PUNCT
ejpam-5957	439	2	59	59	NUM
ejpam-5957	439	3	)	)	PUNCT
ejpam-5957	439	4	by	by	ADP
ejpam-5957	439	5	substituting	substitute	VERB
ejpam-5957	439	6	equation	equation	NOUN
ejpam-5957	439	7	(	(	PUNCT
ejpam-5957	439	8	59	59	NUM
ejpam-5957	439	9	)	)	PUNCT
ejpam-5957	439	10	to	to	ADP
ejpam-5957	439	11	equation	equation	NOUN
ejpam-5957	439	12	(	(	PUNCT
ejpam-5957	439	13	58	58	NUM
ejpam-5957	439	14	)	)	PUNCT
ejpam-5957	439	15	,	,	PUNCT
ejpam-5957	439	16	we	we	PRON
ejpam-5957	439	17	get	get	VERB
ejpam-5957	439	18	d	d	X
ejpam-5957	439	19	dt	dt	X
ejpam-5957	439	20	[	[	PUNCT
ejpam-5957	439	21	ext+ztj	ext+ztj	ADJ
ejpam-5957	439	22	1−	1−	NUM
ejpam-5957	439	23	y(et	y(et	NOUN
ejpam-5957	439	24	−	−	PROPN
ejpam-5957	439	25	1	1	NUM
ejpam-5957	439	26	)	)	PUNCT
ejpam-5957	439	27	]	]	PUNCT
ejpam-5957	440	1	=	=	PUNCT
ejpam-5957	441	1	∞∑	∞∑	NUM
ejpam-5957	441	2	n=1	n=1	ADP
ejpam-5957	441	3	nhf	nhf	PROPN
ejpam-5957	441	4	(	(	PUNCT
ejpam-5957	441	5	j	j	NOUN
ejpam-5957	441	6	)	)	PUNCT
ejpam-5957	441	7	n	n	PROPN
ejpam-5957	441	8	(	(	PUNCT
ejpam-5957	441	9	x	x	X
ejpam-5957	441	10	,	,	PUNCT
ejpam-5957	441	11	y	y	PROPN
ejpam-5957	441	12	;	;	PUNCT
ejpam-5957	441	13	z	z	X
ejpam-5957	441	14	)	)	PUNCT
ejpam-5957	441	15	tn−1	tn−1	PROPN
ejpam-5957	441	16	n	n	CCONJ
ejpam-5957	441	17	!	!	PUNCT
ejpam-5957	441	18	=	=	NOUN
ejpam-5957	442	1	∞∑	∞∑	PRON
ejpam-5957	442	2	n=0	n=0	NUM
ejpam-5957	442	3	hf	hf	NOUN
ejpam-5957	442	4	(	(	PUNCT
ejpam-5957	442	5	j	j	PROPN
ejpam-5957	442	6	)	)	PUNCT
ejpam-5957	442	7	n+1(x	n+1(x	PROPN
ejpam-5957	442	8	,	,	PUNCT
ejpam-5957	442	9	y	y	PROPN
ejpam-5957	442	10	;	;	PUNCT
ejpam-5957	442	11	z	z	X
ejpam-5957	442	12	)	)	PUNCT
ejpam-5957	442	13	tn	tn	PROPN
ejpam-5957	442	14	n	n	NUM
ejpam-5957	442	15	!	!	PUNCT
ejpam-5957	442	16	.	.	PUNCT
ejpam-5957	443	1	(	(	PUNCT
ejpam-5957	443	2	60	60	NUM
ejpam-5957	443	3	)	)	PUNCT
ejpam-5957	443	4	note	note	NOUN
ejpam-5957	443	5	that	that	SCONJ
ejpam-5957	443	6	ext+ztj	ext+ztj	PROPN
ejpam-5957	443	7	1−	1−	NUM
ejpam-5957	443	8	y(et	y(et	NOUN
ejpam-5957	443	9	−	−	PROPN
ejpam-5957	443	10	1	1	NUM
ejpam-5957	443	11	)	)	PUNCT
ejpam-5957	443	12	=	=	SYM
ejpam-5957	444	1	ext+ztj	ext+ztj	PROPN
ejpam-5957	444	2	(	(	PUNCT
ejpam-5957	444	3	1−	1−	NUM
ejpam-5957	444	4	y(et	y(et	X
ejpam-5957	444	5	−	−	PROPN
ejpam-5957	444	6	1))−1	1))−1	NUM
ejpam-5957	444	7	.	.	PUNCT
ejpam-5957	445	1	thus	thus	ADV
ejpam-5957	445	2	,	,	PUNCT
ejpam-5957	445	3	using	use	VERB
ejpam-5957	445	4	derivative	derivative	NOUN
ejpam-5957	445	5	of	of	ADP
ejpam-5957	445	6	a	a	DET
ejpam-5957	445	7	product	product	NOUN
ejpam-5957	445	8	,	,	PUNCT
ejpam-5957	445	9	we	we	PRON
ejpam-5957	445	10	have	have	VERB
ejpam-5957	445	11	d	d	NOUN
ejpam-5957	445	12	dt	dt	X
ejpam-5957	446	1	[	[	PUNCT
ejpam-5957	446	2	ext+ztj	ext+ztj	ADJ
ejpam-5957	446	3	1−	1−	NUM
ejpam-5957	446	4	y(et	y(et	NOUN
ejpam-5957	446	5	−	−	PROPN
ejpam-5957	446	6	1	1	NUM
ejpam-5957	446	7	)	)	PUNCT
ejpam-5957	446	8	]	]	PUNCT
ejpam-5957	447	1	=	=	PUNCT
ejpam-5957	447	2	d	d	X
ejpam-5957	447	3	dt	dt	X
ejpam-5957	447	4	[	[	PUNCT
ejpam-5957	447	5	ext+ztj	ext+ztj	PROPN
ejpam-5957	447	6	(	(	PUNCT
ejpam-5957	447	7	1−	1−	NUM
ejpam-5957	447	8	y(et	y(et	X
ejpam-5957	447	9	−	−	PROPN
ejpam-5957	447	10	1))−1	1))−1	NUM
ejpam-5957	447	11	]	]	PUNCT
ejpam-5957	447	12	=	=	PUNCT
ejpam-5957	448	1	ext+ztj	ext+ztj	PROPN
ejpam-5957	448	2	d	d	X
ejpam-5957	448	3	dt	dt	X
ejpam-5957	448	4	[	[	PUNCT
ejpam-5957	448	5	(	(	PUNCT
ejpam-5957	448	6	1−	1−	NUM
ejpam-5957	448	7	y(et	y(et	X
ejpam-5957	448	8	−	−	PROPN
ejpam-5957	448	9	1))−1	1))−1	NUM
ejpam-5957	448	10	]	]	PUNCT
ejpam-5957	449	1	+	+	CCONJ
ejpam-5957	449	2	(	(	PUNCT
ejpam-5957	449	3	1−	1−	NUM
ejpam-5957	449	4	y(et	y(et	X
ejpam-5957	449	5	−	−	PROPN
ejpam-5957	449	6	1))−1	1))−1	NUM
ejpam-5957	449	7	(	(	PUNCT
ejpam-5957	449	8	ext+ztj	ext+ztj	PROPN
ejpam-5957	449	9	(	(	PUNCT
ejpam-5957	449	10	x+	x+	PROPN
ejpam-5957	449	11	jztj−1	jztj−1	PROPN
ejpam-5957	449	12	)	)	PUNCT
ejpam-5957	449	13	)	)	PUNCT
ejpam-5957	449	14	.	.	PUNCT
ejpam-5957	450	1	(	(	PUNCT
ejpam-5957	450	2	61	61	NUM
ejpam-5957	450	3	)	)	PUNCT
ejpam-5957	450	4	observe	observe	VERB
ejpam-5957	450	5	that	that	SCONJ
ejpam-5957	450	6	d	d	NOUN
ejpam-5957	450	7	dt	dt	X
ejpam-5957	450	8	[	[	PUNCT
ejpam-5957	450	9	(	(	PUNCT
ejpam-5957	450	10	1−	1−	NUM
ejpam-5957	450	11	y(et	y(et	X
ejpam-5957	450	12	−	−	PROPN
ejpam-5957	450	13	1))−1	1))−1	NUM
ejpam-5957	450	14	]	]	PUNCT
ejpam-5957	450	15	=	=	PUNCT
ejpam-5957	451	1	−1(1−	−1(1−	ADJ
ejpam-5957	451	2	y(et	y(et	X
ejpam-5957	451	3	−	−	ADP
ejpam-5957	451	4	1))−2(−yet	1))−2(−yet	NUM
ejpam-5957	451	5	)	)	PUNCT
ejpam-5957	451	6	=	=	PRON
ejpam-5957	451	7	(	(	PUNCT
ejpam-5957	451	8	1−	1−	NUM
ejpam-5957	451	9	y(et	y(et	X
ejpam-5957	451	10	−	−	PROPN
ejpam-5957	451	11	1))−1(1−	1))−1(1−	NUM
ejpam-5957	451	12	y(et	y(et	NOUN
ejpam-5957	451	13	−	−	PROPN
ejpam-5957	451	14	1))−1(yet	1))−1(yet	NUM
ejpam-5957	451	15	)	)	PUNCT
ejpam-5957	451	16	.	.	PUNCT
ejpam-5957	452	1	(	(	PUNCT
ejpam-5957	452	2	62	62	NUM
ejpam-5957	452	3	)	)	PUNCT
ejpam-5957	452	4	thus	thus	ADV
ejpam-5957	452	5	,	,	PUNCT
ejpam-5957	452	6	by	by	ADP
ejpam-5957	452	7	substituting	substitute	VERB
ejpam-5957	452	8	equation	equation	NOUN
ejpam-5957	452	9	(	(	PUNCT
ejpam-5957	452	10	62	62	NUM
ejpam-5957	452	11	)	)	PUNCT
ejpam-5957	452	12	to	to	ADP
ejpam-5957	452	13	equation	equation	NOUN
ejpam-5957	452	14	(	(	PUNCT
ejpam-5957	452	15	61	61	NUM
ejpam-5957	452	16	)	)	PUNCT
ejpam-5957	452	17	gives	give	VERB
ejpam-5957	452	18	d	d	PROPN
ejpam-5957	452	19	dt	dt	X
ejpam-5957	452	20	[	[	PUNCT
ejpam-5957	452	21	ext+ztj	ext+ztj	ADJ
ejpam-5957	452	22	1−	1−	NUM
ejpam-5957	452	23	y(et	y(et	NOUN
ejpam-5957	452	24	−	−	PROPN
ejpam-5957	452	25	1	1	NUM
ejpam-5957	452	26	)	)	PUNCT
ejpam-5957	452	27	]	]	PUNCT
ejpam-5957	453	1	=	=	X
ejpam-5957	453	2	ext+ztj	ext+ztj	PROPN
ejpam-5957	453	3	(	(	PUNCT
ejpam-5957	453	4	1−	1−	NUM
ejpam-5957	453	5	y(et	y(et	X
ejpam-5957	453	6	−	−	PROPN
ejpam-5957	453	7	1))−1(1−	1))−1(1−	NUM
ejpam-5957	453	8	y(et	y(et	NOUN
ejpam-5957	453	9	−	−	PROPN
ejpam-5957	453	10	1))−1(yet	1))−1(yet	NUM
ejpam-5957	453	11	)	)	PUNCT
ejpam-5957	453	12	r.	r.	PROPN
ejpam-5957	453	13	g.	g.	PROPN
ejpam-5957	453	14	bago	bago	PROPN
ejpam-5957	453	15	,	,	PUNCT
ejpam-5957	453	16	n.	n.	PROPN
ejpam-5957	453	17	s.	s.	PROPN
ejpam-5957	453	18	abdulcarim	abdulcarim	PROPN
ejpam-5957	453	19	/	/	SYM
ejpam-5957	453	20	eur	eur	PROPN
ejpam-5957	453	21	.	.	PUNCT
ejpam-5957	454	1	j.	j.	PROPN
ejpam-5957	454	2	pure	pure	PROPN
ejpam-5957	454	3	appl	appl	PROPN
ejpam-5957	454	4	.	.	PROPN
ejpam-5957	454	5	math	math	PROPN
ejpam-5957	454	6	,	,	PUNCT
ejpam-5957	454	7	18	18	NUM
ejpam-5957	454	8	(	(	PUNCT
ejpam-5957	454	9	2	2	NUM
ejpam-5957	454	10	)	)	PUNCT
ejpam-5957	454	11	(	(	PUNCT
ejpam-5957	454	12	2025	2025	NUM
ejpam-5957	454	13	)	)	PUNCT
ejpam-5957	454	14	,	,	PUNCT
ejpam-5957	454	15	5957	5957	NUM
ejpam-5957	454	16	18	18	NUM
ejpam-5957	454	17	of	of	ADP
ejpam-5957	454	18	25	25	NUM
ejpam-5957	454	19	+	+	CCONJ
ejpam-5957	454	20	(	(	PUNCT
ejpam-5957	454	21	1−	1−	NUM
ejpam-5957	454	22	y(et	y(et	X
ejpam-5957	454	23	−	−	PROPN
ejpam-5957	454	24	1))−1	1))−1	NUM
ejpam-5957	454	25	(	(	PUNCT
ejpam-5957	454	26	ext+ztj	ext+ztj	PROPN
ejpam-5957	454	27	(	(	PUNCT
ejpam-5957	454	28	x+	x+	PROPN
ejpam-5957	454	29	jztj−1	jztj−1	PROPN
ejpam-5957	454	30	)	)	PUNCT
ejpam-5957	454	31	)	)	PUNCT
ejpam-5957	455	1	=	=	SYM
ejpam-5957	455	2	y	y	PROPN
ejpam-5957	455	3	[	[	PUNCT
ejpam-5957	455	4	e(x+1)t+ztj	e(x+1)t+ztj	X
ejpam-5957	455	5	(	(	PUNCT
ejpam-5957	455	6	1−	1−	NUM
ejpam-5957	455	7	y(et	y(et	X
ejpam-5957	455	8	−	−	PROPN
ejpam-5957	455	9	1))−1	1))−1	NUM
ejpam-5957	455	10	]	]	PUNCT
ejpam-5957	455	11	(	(	PUNCT
ejpam-5957	455	12	1−	1−	NUM
ejpam-5957	455	13	y(et	y(et	X
ejpam-5957	455	14	−	−	PROPN
ejpam-5957	455	15	1))−1	1))−1	NUM
ejpam-5957	455	16	+	+	NOUN
ejpam-5957	455	17	x	x	SYM
ejpam-5957	455	18	[	[	PUNCT
ejpam-5957	455	19	ext+ztj	ext+ztj	PROPN
ejpam-5957	455	20	(	(	PUNCT
ejpam-5957	455	21	1−	1−	NUM
ejpam-5957	455	22	y(et	y(et	X
ejpam-5957	455	23	−	−	PROPN
ejpam-5957	455	24	1))−1	1))−1	NUM
ejpam-5957	455	25	]	]	PUNCT
ejpam-5957	456	1	+	+	CCONJ
ejpam-5957	456	2	jztj−1	jztj−1	NOUN
ejpam-5957	456	3	[	[	PUNCT
ejpam-5957	456	4	ext+ztj	ext+ztj	PROPN
ejpam-5957	456	5	(	(	PUNCT
ejpam-5957	456	6	1−	1−	NUM
ejpam-5957	456	7	y(et	y(et	X
ejpam-5957	456	8	−	−	PROPN
ejpam-5957	456	9	1))−1	1))−1	NUM
ejpam-5957	456	10	]	]	PUNCT
ejpam-5957	456	11	.	.	PUNCT
ejpam-5957	457	1	(	(	PUNCT
ejpam-5957	457	2	63	63	NUM
ejpam-5957	457	3	)	)	PUNCT
ejpam-5957	457	4	moreover	moreover	ADV
ejpam-5957	457	5	,	,	PUNCT
ejpam-5957	457	6	applying	apply	VERB
ejpam-5957	457	7	definition	definition	NOUN
ejpam-5957	457	8	6	6	NUM
ejpam-5957	457	9	and	and	CCONJ
ejpam-5957	457	10	theorem	theorem	VERB
ejpam-5957	457	11	5	5	NUM
ejpam-5957	457	12	to	to	ADP
ejpam-5957	457	13	the	the	DET
ejpam-5957	457	14	right	right	ADJ
ejpam-5957	457	15	-	-	PUNCT
ejpam-5957	457	16	hand	hand	NOUN
ejpam-5957	457	17	side	side	NOUN
ejpam-5957	457	18	of	of	ADP
ejpam-5957	457	19	equation	equation	NOUN
ejpam-5957	457	20	(	(	PUNCT
ejpam-5957	457	21	63	63	NUM
ejpam-5957	457	22	)	)	PUNCT
ejpam-5957	457	23	we	we	PRON
ejpam-5957	457	24	have	have	VERB
ejpam-5957	457	25	d	d	NOUN
ejpam-5957	457	26	dt	dt	X
ejpam-5957	458	1	[	[	PUNCT
ejpam-5957	458	2	ext+ztj	ext+ztj	ADJ
ejpam-5957	458	3	1−	1−	NUM
ejpam-5957	458	4	y(et	y(et	NOUN
ejpam-5957	458	5	−	−	PROPN
ejpam-5957	458	6	1	1	NUM
ejpam-5957	458	7	)	)	PUNCT
ejpam-5957	458	8	]	]	PUNCT
ejpam-5957	459	1	=	=	PUNCT
ejpam-5957	459	2	y	y	PROPN
ejpam-5957	459	3	∞∑	∞∑	VERB
ejpam-5957	459	4	n=0	n=0	PROPN
ejpam-5957	459	5	hf	hf	NOUN
ejpam-5957	459	6	(	(	PUNCT
ejpam-5957	459	7	j	j	NOUN
ejpam-5957	459	8	)	)	PUNCT
ejpam-5957	459	9	n	n	CCONJ
ejpam-5957	459	10	(	(	PUNCT
ejpam-5957	459	11	x+	x+	PROPN
ejpam-5957	459	12	1	1	NUM
ejpam-5957	459	13	,	,	PUNCT
ejpam-5957	459	14	y	y	PROPN
ejpam-5957	459	15	;	;	PUNCT
ejpam-5957	459	16	z	z	X
ejpam-5957	459	17	)	)	PUNCT
ejpam-5957	459	18	tn	tn	PROPN
ejpam-5957	459	19	n	n	CCONJ
ejpam-5957	459	20	!	!	PUNCT
ejpam-5957	460	1	∞∑	∞∑	PRON
ejpam-5957	460	2	n=0	n=0	NUM
ejpam-5957	460	3	fn(y	fn(y	NUM
ejpam-5957	460	4	)	)	PUNCT
ejpam-5957	460	5	tn	tn	PROPN
ejpam-5957	460	6	n	n	CCONJ
ejpam-5957	460	7	!	!	PUNCT
ejpam-5957	461	1	+	+	CCONJ
ejpam-5957	461	2	x	x	SYM
ejpam-5957	461	3	∞∑	∞∑	PRON
ejpam-5957	461	4	n=0	n=0	NUM
ejpam-5957	461	5	hf	hf	NOUN
ejpam-5957	461	6	(	(	PUNCT
ejpam-5957	461	7	j	j	NOUN
ejpam-5957	461	8	)	)	PUNCT
ejpam-5957	462	1	n	n	PROPN
ejpam-5957	462	2	(	(	PUNCT
ejpam-5957	462	3	x	x	X
ejpam-5957	462	4	,	,	PUNCT
ejpam-5957	462	5	y	y	PROPN
ejpam-5957	462	6	;	;	PUNCT
ejpam-5957	462	7	z	z	X
ejpam-5957	462	8	)	)	PUNCT
ejpam-5957	462	9	tn	tn	PROPN
ejpam-5957	462	10	n	n	CCONJ
ejpam-5957	462	11	!	!	PUNCT
ejpam-5957	463	1	+	+	CCONJ
ejpam-5957	463	2	jztj−1	jztj−1	NOUN
ejpam-5957	463	3	∞∑	∞∑	ADJ
ejpam-5957	463	4	n=0	n=0	NUM
ejpam-5957	463	5	hf	hf	NOUN
ejpam-5957	463	6	(	(	PUNCT
ejpam-5957	463	7	j	j	NOUN
ejpam-5957	463	8	)	)	PUNCT
ejpam-5957	463	9	n	n	PROPN
ejpam-5957	463	10	(	(	PUNCT
ejpam-5957	463	11	x	x	X
ejpam-5957	463	12	,	,	PUNCT
ejpam-5957	463	13	y	y	PROPN
ejpam-5957	463	14	;	;	PUNCT
ejpam-5957	463	15	z	z	X
ejpam-5957	463	16	)	)	PUNCT
ejpam-5957	463	17	tn	tn	PROPN
ejpam-5957	463	18	n	n	PROPN
ejpam-5957	463	19	!	!	PUNCT
ejpam-5957	463	20	.	.	PUNCT
ejpam-5957	464	1	hence	hence	ADV
ejpam-5957	464	2	,	,	PUNCT
ejpam-5957	464	3	applying	apply	VERB
ejpam-5957	464	4	theorem	theorem	NOUN
ejpam-5957	464	5	3	3	NUM
ejpam-5957	464	6	to	to	ADP
ejpam-5957	464	7	the	the	DET
ejpam-5957	464	8	right	right	ADJ
ejpam-5957	464	9	-	-	PUNCT
ejpam-5957	464	10	hand	hand	NOUN
ejpam-5957	464	11	side	side	NOUN
ejpam-5957	464	12	of	of	ADP
ejpam-5957	464	13	the	the	DET
ejpam-5957	464	14	above	above	ADJ
ejpam-5957	464	15	equation	equation	NOUN
ejpam-5957	464	16	gives	give	VERB
ejpam-5957	464	17	d	d	PROPN
ejpam-5957	464	18	dt	dt	X
ejpam-5957	464	19	[	[	PUNCT
ejpam-5957	464	20	ext+ztj	ext+ztj	ADJ
ejpam-5957	464	21	1−	1−	NUM
ejpam-5957	464	22	y(et	y(et	NOUN
ejpam-5957	464	23	−	−	PROPN
ejpam-5957	464	24	1	1	NUM
ejpam-5957	464	25	)	)	PUNCT
ejpam-5957	464	26	]	]	PUNCT
ejpam-5957	465	1	=	=	PUNCT
ejpam-5957	465	2	y	y	PROPN
ejpam-5957	465	3	∞∑	∞∑	PROPN
ejpam-5957	465	4	n=0	n=0	PROPN
ejpam-5957	465	5	n∑	n∑	NOUN
ejpam-5957	465	6	m=0	m=0	PROPN
ejpam-5957	465	7	(	(	PUNCT
ejpam-5957	465	8	n	n	NOUN
ejpam-5957	465	9	m	m	PROPN
ejpam-5957	465	10	)	)	PUNCT
ejpam-5957	465	11	hf	hf	NOUN
ejpam-5957	465	12	(	(	PUNCT
ejpam-5957	465	13	j	j	NOUN
ejpam-5957	465	14	)	)	PUNCT
ejpam-5957	465	15	n	n	CCONJ
ejpam-5957	465	16	(	(	PUNCT
ejpam-5957	465	17	x+	x+	PROPN
ejpam-5957	465	18	1	1	NUM
ejpam-5957	465	19	,	,	PUNCT
ejpam-5957	465	20	y	y	NOUN
ejpam-5957	465	21	;	;	PUNCT
ejpam-5957	465	22	z)fn−m(y	z)fn−m(y	NUM
ejpam-5957	465	23	)	)	PUNCT
ejpam-5957	465	24	tn	tn	PROPN
ejpam-5957	465	25	n	n	NOUN
ejpam-5957	465	26	!	!	PUNCT
ejpam-5957	466	1	+	+	CCONJ
ejpam-5957	466	2	x	x	SYM
ejpam-5957	466	3	∞∑	∞∑	PRON
ejpam-5957	466	4	n=0	n=0	NUM
ejpam-5957	466	5	hf	hf	NOUN
ejpam-5957	466	6	(	(	PUNCT
ejpam-5957	466	7	j	j	NOUN
ejpam-5957	466	8	)	)	PUNCT
ejpam-5957	467	1	n	n	PROPN
ejpam-5957	467	2	(	(	PUNCT
ejpam-5957	467	3	x	x	X
ejpam-5957	467	4	,	,	PUNCT
ejpam-5957	467	5	y	y	PROPN
ejpam-5957	467	6	;	;	PUNCT
ejpam-5957	467	7	z	z	X
ejpam-5957	467	8	)	)	PUNCT
ejpam-5957	467	9	tn	tn	PROPN
ejpam-5957	467	10	n	n	CCONJ
ejpam-5957	467	11	!	!	PUNCT
ejpam-5957	468	1	+	+	CCONJ
ejpam-5957	468	2	jztj−1	jztj−1	NOUN
ejpam-5957	468	3	∞∑	∞∑	ADJ
ejpam-5957	468	4	n=0	n=0	NUM
ejpam-5957	468	5	hf	hf	NOUN
ejpam-5957	468	6	(	(	PUNCT
ejpam-5957	468	7	j	j	NOUN
ejpam-5957	468	8	)	)	PUNCT
ejpam-5957	468	9	n	n	PROPN
ejpam-5957	468	10	(	(	PUNCT
ejpam-5957	468	11	x	x	X
ejpam-5957	468	12	,	,	PUNCT
ejpam-5957	468	13	y	y	PROPN
ejpam-5957	468	14	;	;	PUNCT
ejpam-5957	468	15	z	z	X
ejpam-5957	468	16	)	)	PUNCT
ejpam-5957	468	17	tn	tn	PROPN
ejpam-5957	468	18	n	n	NUM
ejpam-5957	468	19	!	!	PUNCT
ejpam-5957	468	20	.	.	PUNCT
ejpam-5957	469	1	(	(	PUNCT
ejpam-5957	469	2	64	64	NUM
ejpam-5957	469	3	)	)	PUNCT
ejpam-5957	469	4	but	but	CCONJ
ejpam-5957	469	5	note	note	VERB
ejpam-5957	469	6	that	that	SCONJ
ejpam-5957	469	7	,	,	PUNCT
ejpam-5957	469	8	jztj−1	jztj−1	NOUN
ejpam-5957	469	9	∞∑	∞∑	PROPN
ejpam-5957	469	10	n=0	n=0	NUM
ejpam-5957	469	11	hf	hf	NOUN
ejpam-5957	469	12	(	(	PUNCT
ejpam-5957	469	13	j	j	NOUN
ejpam-5957	469	14	)	)	PUNCT
ejpam-5957	469	15	n	n	PROPN
ejpam-5957	469	16	(	(	PUNCT
ejpam-5957	469	17	x	x	X
ejpam-5957	469	18	,	,	PUNCT
ejpam-5957	469	19	y	y	PROPN
ejpam-5957	469	20	;	;	PUNCT
ejpam-5957	469	21	z	z	X
ejpam-5957	469	22	)	)	PUNCT
ejpam-5957	469	23	tn	tn	PROPN
ejpam-5957	469	24	n	n	NOUN
ejpam-5957	469	25	!	!	PUNCT
ejpam-5957	470	1	=	=	PUNCT
ejpam-5957	471	1	jz	jz	PROPN
ejpam-5957	471	2	∞∑	∞∑	NOUN
ejpam-5957	471	3	n=0	n=0	PROPN
ejpam-5957	471	4	hf	hf	NOUN
ejpam-5957	471	5	(	(	PUNCT
ejpam-5957	471	6	j	j	NOUN
ejpam-5957	471	7	)	)	PUNCT
ejpam-5957	471	8	n	n	PROPN
ejpam-5957	471	9	(	(	PUNCT
ejpam-5957	471	10	x	x	X
ejpam-5957	471	11	,	,	PUNCT
ejpam-5957	471	12	y	y	PROPN
ejpam-5957	471	13	;	;	PUNCT
ejpam-5957	471	14	z	z	X
ejpam-5957	471	15	)	)	PUNCT
ejpam-5957	471	16	tn+j−1	tn+j−1	PROPN
ejpam-5957	471	17	n	n	CCONJ
ejpam-5957	471	18	!	!	PUNCT
ejpam-5957	471	19	=	=	PUNCT
ejpam-5957	472	1	jz	jz	PROPN
ejpam-5957	472	2	∞∑	∞∑	NOUN
ejpam-5957	472	3	n=0	n=0	NUM
ejpam-5957	472	4	(	(	PUNCT
ejpam-5957	472	5	n+	n+	NUM
ejpam-5957	472	6	j	j	NOUN
ejpam-5957	472	7	−	−	PROPN
ejpam-5957	472	8	1	1	NUM
ejpam-5957	472	9	)	)	PUNCT
ejpam-5957	472	10	.	.	PUNCT
ejpam-5957	472	11	.	.	PUNCT
ejpam-5957	472	12	.	.	PUNCT
ejpam-5957	473	1	(	(	PUNCT
ejpam-5957	473	2	n+	n+	NUM
ejpam-5957	473	3	1)hf	1)hf	PROPN
ejpam-5957	473	4	(	(	PUNCT
ejpam-5957	473	5	j	j	NOUN
ejpam-5957	473	6	)	)	PUNCT
ejpam-5957	473	7	n	n	PROPN
ejpam-5957	473	8	(	(	PUNCT
ejpam-5957	473	9	x	x	X
ejpam-5957	473	10	,	,	PUNCT
ejpam-5957	473	11	y	y	PROPN
ejpam-5957	473	12	;	;	PUNCT
ejpam-5957	473	13	z	z	X
ejpam-5957	473	14	)	)	PUNCT
ejpam-5957	473	15	tn+j−1	tn+j−1	PROPN
ejpam-5957	473	16	(	(	PUNCT
ejpam-5957	473	17	n+	n+	NUM
ejpam-5957	473	18	j	j	NOUN
ejpam-5957	473	19	−	−	PROPN
ejpam-5957	473	20	1	1	NUM
ejpam-5957	473	21	)	)	PUNCT
ejpam-5957	473	22	!	!	PUNCT
ejpam-5957	474	1	=	=	PUNCT
ejpam-5957	475	1	jz	jz	PROPN
ejpam-5957	475	2	∞∑	∞∑	NOUN
ejpam-5957	475	3	n=0	n=0	PROPN
ejpam-5957	475	4	(	(	PUNCT
ejpam-5957	475	5	n)j+1hf	n)j+1hf	PUNCT
ejpam-5957	475	6	(	(	PUNCT
ejpam-5957	475	7	j	j	PROPN
ejpam-5957	475	8	)	)	PUNCT
ejpam-5957	475	9	n−j+1(x	n−j+1(x	PROPN
ejpam-5957	475	10	,	,	PUNCT
ejpam-5957	475	11	y	y	NOUN
ejpam-5957	475	12	;	;	PUNCT
ejpam-5957	475	13	z	z	X
ejpam-5957	475	14	)	)	PUNCT
ejpam-5957	475	15	tn	tn	PROPN
ejpam-5957	475	16	n	n	NOUN
ejpam-5957	475	17	!	!	PUNCT
ejpam-5957	476	1	=	=	PUNCT
ejpam-5957	477	1	jz	jz	PROPN
ejpam-5957	477	2	∞∑	∞∑	NOUN
ejpam-5957	477	3	n=0	n=0	PROPN
ejpam-5957	477	4	(	(	PUNCT
ejpam-5957	477	5	n)j+1hf	n)j+1hf	PUNCT
ejpam-5957	477	6	(	(	PUNCT
ejpam-5957	477	7	j	j	PROPN
ejpam-5957	477	8	)	)	PUNCT
ejpam-5957	477	9	n−j+1(x	n−j+1(x	PROPN
ejpam-5957	477	10	,	,	PUNCT
ejpam-5957	477	11	y	y	NOUN
ejpam-5957	477	12	;	;	PUNCT
ejpam-5957	477	13	z	z	X
ejpam-5957	477	14	)	)	PUNCT
ejpam-5957	477	15	tn	tn	PROPN
ejpam-5957	477	16	n	n	NUM
ejpam-5957	477	17	!	!	PUNCT
ejpam-5957	477	18	.	.	PUNCT
ejpam-5957	478	1	(	(	PUNCT
ejpam-5957	478	2	65	65	NUM
ejpam-5957	478	3	)	)	PUNCT
ejpam-5957	478	4	r.	r.	PROPN
ejpam-5957	478	5	g.	g.	PROPN
ejpam-5957	478	6	bago	bago	PROPN
ejpam-5957	478	7	,	,	PUNCT
ejpam-5957	478	8	n.	n.	PROPN
ejpam-5957	478	9	s.	s.	PROPN
ejpam-5957	478	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	478	11	/	/	SYM
ejpam-5957	478	12	eur	eur	PROPN
ejpam-5957	478	13	.	.	PUNCT
ejpam-5957	479	1	j.	j.	PROPN
ejpam-5957	479	2	pure	pure	PROPN
ejpam-5957	479	3	appl	appl	PROPN
ejpam-5957	479	4	.	.	PROPN
ejpam-5957	479	5	math	math	PROPN
ejpam-5957	479	6	,	,	PUNCT
ejpam-5957	479	7	18	18	NUM
ejpam-5957	479	8	(	(	PUNCT
ejpam-5957	479	9	2	2	NUM
ejpam-5957	479	10	)	)	PUNCT
ejpam-5957	479	11	(	(	PUNCT
ejpam-5957	479	12	2025	2025	NUM
ejpam-5957	479	13	)	)	PUNCT
ejpam-5957	479	14	,	,	PUNCT
ejpam-5957	479	15	5957	5957	NUM
ejpam-5957	479	16	19	19	NUM
ejpam-5957	479	17	of	of	ADP
ejpam-5957	479	18	25	25	NUM
ejpam-5957	479	19	substituting	substitute	VERB
ejpam-5957	479	20	equation	equation	NOUN
ejpam-5957	479	21	(	(	PUNCT
ejpam-5957	479	22	65	65	NUM
ejpam-5957	479	23	)	)	PUNCT
ejpam-5957	479	24	to	to	ADP
ejpam-5957	479	25	equation	equation	NOUN
ejpam-5957	479	26	(	(	PUNCT
ejpam-5957	479	27	64	64	NUM
ejpam-5957	479	28	)	)	PUNCT
ejpam-5957	479	29	yields	yield	NOUN
ejpam-5957	480	1	d	d	X
ejpam-5957	480	2	dt	dt	X
ejpam-5957	481	1	[	[	PUNCT
ejpam-5957	481	2	ext+ztj	ext+ztj	ADJ
ejpam-5957	481	3	1−	1−	NUM
ejpam-5957	481	4	y(et	y(et	NOUN
ejpam-5957	481	5	−	−	PROPN
ejpam-5957	481	6	1	1	NUM
ejpam-5957	481	7	)	)	PUNCT
ejpam-5957	481	8	]	]	PUNCT
ejpam-5957	482	1	=	=	PUNCT
ejpam-5957	482	2	y	y	PROPN
ejpam-5957	482	3	∞∑	∞∑	PROPN
ejpam-5957	482	4	n=0	n=0	PROPN
ejpam-5957	482	5	n∑	n∑	NOUN
ejpam-5957	482	6	m=0	m=0	PROPN
ejpam-5957	482	7	(	(	PUNCT
ejpam-5957	482	8	n	n	NOUN
ejpam-5957	482	9	m	m	PROPN
ejpam-5957	482	10	)	)	PUNCT
ejpam-5957	482	11	hf	hf	NOUN
ejpam-5957	482	12	(	(	PUNCT
ejpam-5957	482	13	j	j	NOUN
ejpam-5957	482	14	)	)	PUNCT
ejpam-5957	482	15	n	n	CCONJ
ejpam-5957	482	16	(	(	PUNCT
ejpam-5957	482	17	x+	x+	PROPN
ejpam-5957	482	18	1	1	NUM
ejpam-5957	482	19	,	,	PUNCT
ejpam-5957	482	20	y	y	NOUN
ejpam-5957	482	21	;	;	PUNCT
ejpam-5957	482	22	z)fn−m(y	z)fn−m(y	NUM
ejpam-5957	482	23	)	)	PUNCT
ejpam-5957	482	24	tn	tn	PROPN
ejpam-5957	482	25	n	n	NOUN
ejpam-5957	482	26	!	!	PUNCT
ejpam-5957	483	1	+	+	CCONJ
ejpam-5957	483	2	x	x	SYM
ejpam-5957	483	3	∞∑	∞∑	PRON
ejpam-5957	483	4	n=0	n=0	NUM
ejpam-5957	483	5	hf	hf	NOUN
ejpam-5957	483	6	(	(	PUNCT
ejpam-5957	483	7	j	j	NOUN
ejpam-5957	483	8	)	)	PUNCT
ejpam-5957	483	9	n	n	PROPN
ejpam-5957	483	10	(	(	PUNCT
ejpam-5957	483	11	x	x	X
ejpam-5957	483	12	,	,	PUNCT
ejpam-5957	483	13	y	y	PROPN
ejpam-5957	483	14	;	;	PUNCT
ejpam-5957	483	15	z	z	X
ejpam-5957	483	16	)	)	PUNCT
ejpam-5957	483	17	tn	tn	PROPN
ejpam-5957	483	18	n	n	CCONJ
ejpam-5957	483	19	!	!	PUNCT
ejpam-5957	484	1	+	+	CCONJ
ejpam-5957	484	2	jz(n)j+1	jz(n)j+1	NUM
ejpam-5957	484	3	∞∑	∞∑	NUM
ejpam-5957	484	4	n=0	n=0	NUM
ejpam-5957	484	5	hf	hf	NOUN
ejpam-5957	484	6	(	(	PUNCT
ejpam-5957	484	7	j	j	PROPN
ejpam-5957	484	8	)	)	PUNCT
ejpam-5957	484	9	n−j+1(x	n−j+1(x	PROPN
ejpam-5957	484	10	,	,	PUNCT
ejpam-5957	484	11	y	y	NOUN
ejpam-5957	484	12	;	;	PUNCT
ejpam-5957	484	13	z	z	X
ejpam-5957	484	14	)	)	PUNCT
ejpam-5957	484	15	tn	tn	PROPN
ejpam-5957	484	16	n	n	NOUN
ejpam-5957	484	17	!	!	PUNCT
ejpam-5957	484	18	=	=	NOUN
ejpam-5957	485	1	∞∑	∞∑	PRON
ejpam-5957	485	2	n=0	n=0	NUM
ejpam-5957	485	3	n∑	n∑	NOUN
ejpam-5957	485	4	m=0	m=0	PROPN
ejpam-5957	485	5	(	(	PUNCT
ejpam-5957	485	6	n	n	NOUN
ejpam-5957	485	7	m	m	VERB
ejpam-5957	485	8	)	)	PUNCT
ejpam-5957	485	9	yhf	yhf	INTJ
ejpam-5957	485	10	(	(	PUNCT
ejpam-5957	485	11	j	j	NOUN
ejpam-5957	485	12	)	)	PUNCT
ejpam-5957	485	13	n	n	CCONJ
ejpam-5957	485	14	(	(	PUNCT
ejpam-5957	485	15	x+	x+	PROPN
ejpam-5957	485	16	1	1	NUM
ejpam-5957	485	17	,	,	PUNCT
ejpam-5957	485	18	y	y	NOUN
ejpam-5957	485	19	;	;	PUNCT
ejpam-5957	485	20	z)fn−m(y	z)fn−m(y	PUNCT
ejpam-5957	485	21	)	)	PUNCT
ejpam-5957	486	1	+	+	CCONJ
ejpam-5957	486	2	xhf	xhf	NOUN
ejpam-5957	486	3	(	(	PUNCT
ejpam-5957	486	4	j	j	PROPN
ejpam-5957	486	5	)	)	PUNCT
ejpam-5957	486	6	n	n	PROPN
ejpam-5957	486	7	(	(	PUNCT
ejpam-5957	486	8	x	x	X
ejpam-5957	486	9	,	,	PUNCT
ejpam-5957	486	10	y	y	PROPN
ejpam-5957	486	11	;	;	PUNCT
ejpam-5957	486	12	z	z	X
ejpam-5957	486	13	)	)	PUNCT
ejpam-5957	486	14	+	+	CCONJ
ejpam-5957	486	15	jz(n)j+1hf	jz(n)j+1hf	PROPN
ejpam-5957	486	16	(	(	PUNCT
ejpam-5957	486	17	j	j	PROPN
ejpam-5957	486	18	)	)	PUNCT
ejpam-5957	486	19	n−j+1(x	n−j+1(x	PROPN
ejpam-5957	486	20	,	,	PUNCT
ejpam-5957	486	21	y	y	NOUN
ejpam-5957	486	22	;	;	PUNCT
ejpam-5957	486	23	z	z	X
ejpam-5957	486	24	)	)	PUNCT
ejpam-5957	486	25	tn	tn	PROPN
ejpam-5957	486	26	n	n	NUM
ejpam-5957	486	27	!	!	PUNCT
ejpam-5957	486	28	.	.	PUNCT
ejpam-5957	487	1	(	(	PUNCT
ejpam-5957	487	2	66	66	NUM
ejpam-5957	487	3	)	)	PUNCT
ejpam-5957	487	4	we	we	PRON
ejpam-5957	487	5	then	then	ADV
ejpam-5957	487	6	equate	equate	VERB
ejpam-5957	487	7	equation	equation	NOUN
ejpam-5957	487	8	(	(	PUNCT
ejpam-5957	487	9	60	60	NUM
ejpam-5957	487	10	)	)	PUNCT
ejpam-5957	487	11	and	and	CCONJ
ejpam-5957	487	12	equation	equation	NOUN
ejpam-5957	487	13	(	(	PUNCT
ejpam-5957	487	14	66	66	NUM
ejpam-5957	487	15	)	)	PUNCT
ejpam-5957	487	16	and	and	CCONJ
ejpam-5957	487	17	obtain	obtain	VERB
ejpam-5957	487	18	∞∑	∞∑	PRON
ejpam-5957	487	19	n=0	n=0	NUM
ejpam-5957	487	20	hf	hf	NOUN
ejpam-5957	487	21	(	(	PUNCT
ejpam-5957	487	22	j	j	PROPN
ejpam-5957	487	23	)	)	PUNCT
ejpam-5957	487	24	n+1(x	n+1(x	PROPN
ejpam-5957	487	25	,	,	PUNCT
ejpam-5957	487	26	y	y	PROPN
ejpam-5957	487	27	;	;	PUNCT
ejpam-5957	487	28	z	z	X
ejpam-5957	487	29	)	)	PUNCT
ejpam-5957	487	30	tn	tn	PROPN
ejpam-5957	487	31	n	n	NOUN
ejpam-5957	487	32	!	!	PUNCT
ejpam-5957	487	33	=	=	NOUN
ejpam-5957	488	1	∞∑	∞∑	PRON
ejpam-5957	488	2	n=0	n=0	NUM
ejpam-5957	488	3	n∑	n∑	NOUN
ejpam-5957	488	4	m=0	m=0	PROPN
ejpam-5957	488	5	(	(	PUNCT
ejpam-5957	488	6	n	n	NOUN
ejpam-5957	488	7	m	m	VERB
ejpam-5957	488	8	)	)	PUNCT
ejpam-5957	488	9	yhf	yhf	INTJ
ejpam-5957	488	10	(	(	PUNCT
ejpam-5957	488	11	j	j	NOUN
ejpam-5957	488	12	)	)	PUNCT
ejpam-5957	488	13	n	n	CCONJ
ejpam-5957	488	14	(	(	PUNCT
ejpam-5957	488	15	x+	x+	PROPN
ejpam-5957	488	16	1	1	NUM
ejpam-5957	488	17	,	,	PUNCT
ejpam-5957	488	18	y	y	NOUN
ejpam-5957	488	19	;	;	PUNCT
ejpam-5957	488	20	z)fn−m(y	z)fn−m(y	PUNCT
ejpam-5957	488	21	)	)	PUNCT
ejpam-5957	489	1	+	+	CCONJ
ejpam-5957	489	2	xhf	xhf	NOUN
ejpam-5957	489	3	(	(	PUNCT
ejpam-5957	489	4	j	j	PROPN
ejpam-5957	489	5	)	)	PUNCT
ejpam-5957	489	6	n	n	PROPN
ejpam-5957	489	7	(	(	PUNCT
ejpam-5957	489	8	x	x	X
ejpam-5957	489	9	,	,	PUNCT
ejpam-5957	489	10	y	y	PROPN
ejpam-5957	489	11	;	;	PUNCT
ejpam-5957	489	12	z	z	X
ejpam-5957	489	13	)	)	PUNCT
ejpam-5957	489	14	+	+	CCONJ
ejpam-5957	489	15	jz(n)j+1hf	jz(n)j+1hf	PROPN
ejpam-5957	489	16	(	(	PUNCT
ejpam-5957	489	17	j	j	PROPN
ejpam-5957	489	18	)	)	PUNCT
ejpam-5957	489	19	n−j+1(x	n−j+1(x	PROPN
ejpam-5957	489	20	,	,	PUNCT
ejpam-5957	489	21	y	y	NOUN
ejpam-5957	489	22	;	;	PUNCT
ejpam-5957	489	23	z	z	X
ejpam-5957	489	24	)	)	PUNCT
ejpam-5957	489	25	tn	tn	PROPN
ejpam-5957	489	26	n	n	PROPN
ejpam-5957	489	27	!	!	PUNCT
ejpam-5957	489	28	.	.	PUNCT
ejpam-5957	490	1	finally	finally	ADV
ejpam-5957	490	2	,	,	PUNCT
ejpam-5957	490	3	comparing	compare	VERB
ejpam-5957	490	4	the	the	DET
ejpam-5957	490	5	coefficients	coefficient	NOUN
ejpam-5957	490	6	of	of	ADP
ejpam-5957	490	7	tn	tn	NOUN
ejpam-5957	490	8	n	n	ADP
ejpam-5957	490	9	!	!	PUNCT
ejpam-5957	491	1	yields	yield	NOUN
ejpam-5957	491	2	to	to	ADP
ejpam-5957	491	3	the	the	DET
ejpam-5957	491	4	desired	desire	VERB
ejpam-5957	491	5	result	result	NOUN
ejpam-5957	491	6	.	.	PUNCT
ejpam-5957	492	1	in	in	ADP
ejpam-5957	492	2	the	the	DET
ejpam-5957	492	3	next	next	ADJ
ejpam-5957	492	4	theorem	theorem	NOUN
ejpam-5957	492	5	,	,	PUNCT
ejpam-5957	492	6	we	we	PRON
ejpam-5957	492	7	introduced	introduce	VERB
ejpam-5957	492	8	the	the	DET
ejpam-5957	492	9	partial	partial	ADJ
ejpam-5957	492	10	derivative	derivative	ADJ
ejpam-5957	492	11	formulae	formulae	NOUN
ejpam-5957	492	12	for	for	ADP
ejpam-5957	492	13	gould	gould	PROPN
ejpam-5957	492	14	-	-	PUNCT
ejpam-5957	492	15	hopperbased	hopperbase	VERB
ejpam-5957	492	16	bivariate	bivariate	ADJ
ejpam-5957	492	17	fubini	fubini	ADJ
ejpam-5957	492	18	polynomials	polynomial	NOUN
ejpam-5957	492	19	.	.	PUNCT
ejpam-5957	493	1	theorem	theorem	VERB
ejpam-5957	493	2	18	18	NUM
ejpam-5957	493	3	.	.	PUNCT
ejpam-5957	494	1	for	for	ADP
ejpam-5957	494	2	n	n	PRON
ejpam-5957	494	3	≥	≥	NOUN
ejpam-5957	494	4	0	0	NUM
ejpam-5957	494	5	,	,	PUNCT
ejpam-5957	494	6	the	the	DET
ejpam-5957	494	7	following	follow	VERB
ejpam-5957	494	8	partial	partial	ADJ
ejpam-5957	494	9	derivatives	derivative	NOUN
ejpam-5957	494	10	for	for	ADP
ejpam-5957	494	11	the	the	DET
ejpam-5957	494	12	gould	gould	PROPN
ejpam-5957	494	13	-	-	PUNCT
ejpam-5957	494	14	hopper	hopper	NOUN
ejpam-5957	494	15	-	-	PUNCT
ejpam-5957	494	16	based	base	VERB
ejpam-5957	494	17	bivariate	bivariate	ADJ
ejpam-5957	494	18	fubini	fubini	ADJ
ejpam-5957	494	19	polynomials	polynomial	NOUN
ejpam-5957	494	20	holds	hold	VERB
ejpam-5957	494	21	:	:	PUNCT
ejpam-5957	494	22	i.	i.	PROPN
ejpam-5957	494	23	∂	∂	PROPN
ejpam-5957	494	24	∂x	∂x	PROPN
ejpam-5957	494	25	hf	hf	PROPN
ejpam-5957	494	26	(	(	PUNCT
ejpam-5957	494	27	j	j	PROPN
ejpam-5957	494	28	)	)	PUNCT
ejpam-5957	494	29	n+1(x	n+1(x	PROPN
ejpam-5957	494	30	,	,	PUNCT
ejpam-5957	494	31	y	y	PROPN
ejpam-5957	494	32	;	;	PUNCT
ejpam-5957	494	33	z	z	X
ejpam-5957	494	34	)	)	PUNCT
ejpam-5957	494	35	=	=	SYM
ejpam-5957	495	1	(	(	PUNCT
ejpam-5957	495	2	n+	n+	NUM
ejpam-5957	495	3	1)hf	1)hf	PROPN
ejpam-5957	495	4	(	(	PUNCT
ejpam-5957	495	5	j	j	NOUN
ejpam-5957	495	6	)	)	PUNCT
ejpam-5957	495	7	n	n	PROPN
ejpam-5957	495	8	(	(	PUNCT
ejpam-5957	495	9	x	x	X
ejpam-5957	495	10	,	,	PUNCT
ejpam-5957	495	11	y	y	PROPN
ejpam-5957	495	12	;	;	PUNCT
ejpam-5957	495	13	z	z	NOUN
ejpam-5957	495	14	)	)	PUNCT
ejpam-5957	495	15	,	,	PUNCT
ejpam-5957	495	16	(	(	PUNCT
ejpam-5957	495	17	67	67	NUM
ejpam-5957	495	18	)	)	PUNCT
ejpam-5957	495	19	ii	ii	PROPN
ejpam-5957	495	20	.	.	PUNCT
ejpam-5957	495	21	∂	∂	PROPN
ejpam-5957	496	1	∂z	∂z	PROPN
ejpam-5957	496	2	hf	hf	PROPN
ejpam-5957	496	3	(	(	PUNCT
ejpam-5957	496	4	j	j	NOUN
ejpam-5957	496	5	)	)	PUNCT
ejpam-5957	496	6	n+j(x	n+j(x	NOUN
ejpam-5957	496	7	,	,	PUNCT
ejpam-5957	496	8	y	y	NOUN
ejpam-5957	496	9	;	;	PUNCT
ejpam-5957	496	10	z	z	X
ejpam-5957	496	11	)	)	PUNCT
ejpam-5957	496	12	=	=	SYM
ejpam-5957	496	13	(	(	PUNCT
ejpam-5957	496	14	n+	n+	X
ejpam-5957	496	15	j)j	j)j	PROPN
ejpam-5957	496	16	hf	hf	PROPN
ejpam-5957	496	17	(	(	PUNCT
ejpam-5957	496	18	j	j	PROPN
ejpam-5957	496	19	)	)	PUNCT
ejpam-5957	496	20	n	n	PROPN
ejpam-5957	496	21	(	(	PUNCT
ejpam-5957	496	22	x	x	X
ejpam-5957	496	23	,	,	PUNCT
ejpam-5957	496	24	y	y	PROPN
ejpam-5957	496	25	;	;	PUNCT
ejpam-5957	496	26	z	z	NOUN
ejpam-5957	496	27	)	)	PUNCT
ejpam-5957	496	28	.	.	PUNCT
ejpam-5957	497	1	(	(	PUNCT
ejpam-5957	497	2	68	68	NUM
ejpam-5957	497	3	)	)	PUNCT
ejpam-5957	497	4	proof	proof	NOUN
ejpam-5957	497	5	.	.	PUNCT
ejpam-5957	498	1	note	note	VERB
ejpam-5957	498	2	that	that	SCONJ
ejpam-5957	498	3	∞∑	∞∑	NUM
ejpam-5957	498	4	n=0	n=0	NUM
ejpam-5957	498	5	hf	hf	NOUN
ejpam-5957	498	6	(	(	PUNCT
ejpam-5957	498	7	j	j	NOUN
ejpam-5957	498	8	)	)	PUNCT
ejpam-5957	498	9	n	n	PROPN
ejpam-5957	498	10	(	(	PUNCT
ejpam-5957	498	11	x	x	X
ejpam-5957	498	12	,	,	PUNCT
ejpam-5957	498	13	y	y	PROPN
ejpam-5957	498	14	;	;	PUNCT
ejpam-5957	498	15	z	z	X
ejpam-5957	498	16	)	)	PUNCT
ejpam-5957	498	17	tn	tn	PROPN
ejpam-5957	498	18	n	n	NOUN
ejpam-5957	498	19	!	!	PUNCT
ejpam-5957	499	1	=	=	PRON
ejpam-5957	499	2	ext+ztj	ext+ztj	PROPN
ejpam-5957	499	3	(	(	PUNCT
ejpam-5957	499	4	1−	1−	NUM
ejpam-5957	499	5	y(et	y(et	X
ejpam-5957	499	6	−	−	PROPN
ejpam-5957	499	7	1))−1	1))−1	NUM
ejpam-5957	499	8	.	.	PUNCT
ejpam-5957	500	1	(	(	PUNCT
ejpam-5957	500	2	69	69	NUM
ejpam-5957	500	3	)	)	PUNCT
ejpam-5957	500	4	differentiating	differentiate	VERB
ejpam-5957	500	5	both	both	DET
ejpam-5957	500	6	sides	side	NOUN
ejpam-5957	500	7	with	with	ADP
ejpam-5957	500	8	respect	respect	NOUN
ejpam-5957	500	9	to	to	ADP
ejpam-5957	500	10	x	x	PRON
ejpam-5957	500	11	,	,	PUNCT
ejpam-5957	500	12	we	we	PRON
ejpam-5957	500	13	have	have	VERB
ejpam-5957	500	14	∂	∂	NUM
ejpam-5957	500	15	∂x	∂x	PROPN
ejpam-5957	500	16	[	[	PUNCT
ejpam-5957	500	17	∞∑	∞∑	PROPN
ejpam-5957	500	18	n=0	n=0	NUM
ejpam-5957	500	19	hf	hf	NOUN
ejpam-5957	500	20	(	(	PUNCT
ejpam-5957	500	21	j	j	NOUN
ejpam-5957	500	22	)	)	PUNCT
ejpam-5957	500	23	n	n	PROPN
ejpam-5957	500	24	(	(	PUNCT
ejpam-5957	500	25	x	x	X
ejpam-5957	500	26	,	,	PUNCT
ejpam-5957	500	27	y	y	PROPN
ejpam-5957	500	28	;	;	PUNCT
ejpam-5957	500	29	z	z	X
ejpam-5957	500	30	)	)	PUNCT
ejpam-5957	500	31	tn	tn	PROPN
ejpam-5957	500	32	n	n	NUM
ejpam-5957	500	33	!	!	PUNCT
ejpam-5957	500	34	]	]	PUNCT
ejpam-5957	501	1	=	=	SYM
ejpam-5957	501	2	∂	∂	NUM
ejpam-5957	501	3	∂x	∂x	PROPN
ejpam-5957	501	4	[	[	PUNCT
ejpam-5957	501	5	ext+ztj	ext+ztj	PROPN
ejpam-5957	501	6	(	(	PUNCT
ejpam-5957	501	7	1−	1−	NUM
ejpam-5957	501	8	y(et	y(et	X
ejpam-5957	501	9	−	−	PROPN
ejpam-5957	501	10	1))−1	1))−1	NUM
ejpam-5957	501	11	]	]	PUNCT
ejpam-5957	501	12	=	=	SYM
ejpam-5957	501	13	text+ztj	text+ztj	NOUN
ejpam-5957	501	14	(	(	PUNCT
ejpam-5957	501	15	1−	1−	NUM
ejpam-5957	501	16	y(et	y(et	X
ejpam-5957	501	17	−	−	PROPN
ejpam-5957	501	18	1))−1	1))−1	NUM
ejpam-5957	501	19	.	.	PUNCT
ejpam-5957	501	20	r.	r.	PROPN
ejpam-5957	501	21	g.	g.	PROPN
ejpam-5957	501	22	bago	bago	PROPN
ejpam-5957	501	23	,	,	PUNCT
ejpam-5957	501	24	n.	n.	PROPN
ejpam-5957	501	25	s.	s.	PROPN
ejpam-5957	501	26	abdulcarim	abdulcarim	PROPN
ejpam-5957	501	27	/	/	SYM
ejpam-5957	501	28	eur	eur	PROPN
ejpam-5957	501	29	.	.	PUNCT
ejpam-5957	502	1	j.	j.	PROPN
ejpam-5957	502	2	pure	pure	PROPN
ejpam-5957	502	3	appl	appl	PROPN
ejpam-5957	502	4	.	.	PROPN
ejpam-5957	502	5	math	math	PROPN
ejpam-5957	502	6	,	,	PUNCT
ejpam-5957	502	7	18	18	NUM
ejpam-5957	502	8	(	(	PUNCT
ejpam-5957	502	9	2	2	NUM
ejpam-5957	502	10	)	)	PUNCT
ejpam-5957	502	11	(	(	PUNCT
ejpam-5957	502	12	2025	2025	NUM
ejpam-5957	502	13	)	)	PUNCT
ejpam-5957	502	14	,	,	PUNCT
ejpam-5957	502	15	5957	5957	NUM
ejpam-5957	502	16	20	20	NUM
ejpam-5957	502	17	of	of	ADP
ejpam-5957	502	18	25	25	NUM
ejpam-5957	502	19	but	but	CCONJ
ejpam-5957	502	20	note	note	VERB
ejpam-5957	502	21	that	that	SCONJ
ejpam-5957	502	22	,	,	PUNCT
ejpam-5957	502	23	∂	∂	NUM
ejpam-5957	502	24	∂x	∂x	PROPN
ejpam-5957	502	25	[	[	PUNCT
ejpam-5957	502	26	∞∑	∞∑	PROPN
ejpam-5957	502	27	n=0	n=0	NUM
ejpam-5957	502	28	hf	hf	NOUN
ejpam-5957	502	29	(	(	PUNCT
ejpam-5957	502	30	j	j	NOUN
ejpam-5957	502	31	)	)	PUNCT
ejpam-5957	502	32	n	n	PROPN
ejpam-5957	502	33	(	(	PUNCT
ejpam-5957	502	34	x	x	X
ejpam-5957	502	35	,	,	PUNCT
ejpam-5957	502	36	y	y	PROPN
ejpam-5957	502	37	;	;	PUNCT
ejpam-5957	502	38	z	z	X
ejpam-5957	502	39	)	)	PUNCT
ejpam-5957	502	40	tn	tn	PROPN
ejpam-5957	502	41	n	n	NUM
ejpam-5957	502	42	!	!	PUNCT
ejpam-5957	502	43	]	]	PUNCT
ejpam-5957	503	1	=	=	PUNCT
ejpam-5957	503	2	∞∑	∞∑	NUM
ejpam-5957	503	3	n=0	n=0	NUM
ejpam-5957	503	4	∂	∂	NUM
ejpam-5957	503	5	∂x	∂x	PROPN
ejpam-5957	503	6	hf	hf	NOUN
ejpam-5957	503	7	(	(	PUNCT
ejpam-5957	503	8	j	j	NOUN
ejpam-5957	503	9	)	)	PUNCT
ejpam-5957	503	10	n	n	PROPN
ejpam-5957	503	11	(	(	PUNCT
ejpam-5957	503	12	x	x	X
ejpam-5957	503	13	,	,	PUNCT
ejpam-5957	503	14	y	y	PROPN
ejpam-5957	503	15	;	;	PUNCT
ejpam-5957	503	16	z	z	X
ejpam-5957	503	17	)	)	PUNCT
ejpam-5957	503	18	tn	tn	PROPN
ejpam-5957	503	19	n	n	NUM
ejpam-5957	503	20	!	!	PUNCT
ejpam-5957	503	21	.	.	PUNCT
ejpam-5957	504	1	thus	thus	ADV
ejpam-5957	504	2	,	,	PUNCT
ejpam-5957	504	3	∞∑	∞∑	ADJ
ejpam-5957	504	4	n=0	n=0	NUM
ejpam-5957	504	5	∂	∂	NUM
ejpam-5957	504	6	∂x	∂x	PROPN
ejpam-5957	504	7	hf	hf	NOUN
ejpam-5957	504	8	(	(	PUNCT
ejpam-5957	504	9	j	j	NOUN
ejpam-5957	504	10	)	)	PUNCT
ejpam-5957	504	11	n	n	PROPN
ejpam-5957	504	12	(	(	PUNCT
ejpam-5957	504	13	x	x	X
ejpam-5957	504	14	,	,	PUNCT
ejpam-5957	504	15	y	y	PROPN
ejpam-5957	504	16	;	;	PUNCT
ejpam-5957	504	17	z	z	X
ejpam-5957	504	18	)	)	PUNCT
ejpam-5957	504	19	tn	tn	PROPN
ejpam-5957	504	20	n	n	NOUN
ejpam-5957	504	21	!	!	PUNCT
ejpam-5957	505	1	=	=	PRON
ejpam-5957	505	2	text+ztj	text+ztj	PROPN
ejpam-5957	505	3	(	(	PUNCT
ejpam-5957	505	4	1−	1−	NUM
ejpam-5957	505	5	y(et	y(et	X
ejpam-5957	505	6	−	−	PROPN
ejpam-5957	505	7	1))−1	1))−1	NUM
ejpam-5957	505	8	.	.	PUNCT
ejpam-5957	506	1	(	(	PUNCT
ejpam-5957	506	2	70	70	NUM
ejpam-5957	506	3	)	)	PUNCT
ejpam-5957	506	4	by	by	ADP
ejpam-5957	506	5	applying	apply	VERB
ejpam-5957	506	6	definition	definition	NOUN
ejpam-5957	506	7	6	6	NUM
ejpam-5957	506	8	to	to	ADP
ejpam-5957	506	9	the	the	DET
ejpam-5957	506	10	right	right	ADJ
ejpam-5957	506	11	-	-	PUNCT
ejpam-5957	506	12	hand	hand	NOUN
ejpam-5957	506	13	side	side	NOUN
ejpam-5957	506	14	of	of	ADP
ejpam-5957	506	15	equation	equation	NOUN
ejpam-5957	506	16	(	(	PUNCT
ejpam-5957	506	17	70	70	NUM
ejpam-5957	506	18	)	)	PUNCT
ejpam-5957	506	19	we	we	PRON
ejpam-5957	506	20	get	get	VERB
ejpam-5957	506	21	∞∑	∞∑	NUM
ejpam-5957	506	22	n=0	n=0	NUM
ejpam-5957	506	23	∂	∂	NUM
ejpam-5957	506	24	∂x	∂x	PROPN
ejpam-5957	506	25	hf	hf	NOUN
ejpam-5957	506	26	(	(	PUNCT
ejpam-5957	506	27	j	j	NOUN
ejpam-5957	506	28	)	)	PUNCT
ejpam-5957	506	29	n	n	PROPN
ejpam-5957	506	30	(	(	PUNCT
ejpam-5957	506	31	x	x	X
ejpam-5957	506	32	,	,	PUNCT
ejpam-5957	506	33	y	y	PROPN
ejpam-5957	506	34	;	;	PUNCT
ejpam-5957	506	35	z	z	X
ejpam-5957	506	36	)	)	PUNCT
ejpam-5957	506	37	tn	tn	PROPN
ejpam-5957	506	38	n	n	NOUN
ejpam-5957	506	39	!	!	PUNCT
ejpam-5957	507	1	=	=	NOUN
ejpam-5957	508	1	∞∑	∞∑	DET
ejpam-5957	508	2	n=0	n=0	NUM
ejpam-5957	508	3	hf	hf	NOUN
ejpam-5957	508	4	(	(	PUNCT
ejpam-5957	508	5	j	j	NOUN
ejpam-5957	508	6	)	)	PUNCT
ejpam-5957	508	7	n	n	PROPN
ejpam-5957	508	8	(	(	PUNCT
ejpam-5957	508	9	x	x	X
ejpam-5957	508	10	,	,	PUNCT
ejpam-5957	508	11	y	y	PROPN
ejpam-5957	508	12	;	;	PUNCT
ejpam-5957	508	13	z	z	X
ejpam-5957	508	14	)	)	PUNCT
ejpam-5957	508	15	tn+1	tn+1	NOUN
ejpam-5957	508	16	n	n	X
ejpam-5957	508	17	!	!	PUNCT
ejpam-5957	508	18	.	.	PUNCT
ejpam-5957	509	1	differentiating	differentiate	VERB
ejpam-5957	509	2	both	both	DET
ejpam-5957	509	3	sides	side	NOUN
ejpam-5957	509	4	of	of	ADP
ejpam-5957	509	5	the	the	DET
ejpam-5957	509	6	above	above	ADJ
ejpam-5957	509	7	equation	equation	NOUN
ejpam-5957	509	8	with	with	ADP
ejpam-5957	509	9	respect	respect	NOUN
ejpam-5957	509	10	to	to	ADP
ejpam-5957	509	11	t	t	PROPN
ejpam-5957	509	12	,	,	PUNCT
ejpam-5957	509	13	we	we	PRON
ejpam-5957	509	14	have	have	VERB
ejpam-5957	509	15	∞∑	∞∑	NUM
ejpam-5957	509	16	n=1	n=1	NOUN
ejpam-5957	509	17	∂	∂	NUM
ejpam-5957	509	18	∂x	∂x	PROPN
ejpam-5957	509	19	hf	hf	NOUN
ejpam-5957	509	20	(	(	PUNCT
ejpam-5957	509	21	j	j	NOUN
ejpam-5957	509	22	)	)	PUNCT
ejpam-5957	509	23	n	n	PROPN
ejpam-5957	509	24	(	(	PUNCT
ejpam-5957	509	25	x	x	X
ejpam-5957	509	26	,	,	PUNCT
ejpam-5957	509	27	y	y	PROPN
ejpam-5957	509	28	;	;	PUNCT
ejpam-5957	509	29	z	z	X
ejpam-5957	509	30	)	)	PUNCT
ejpam-5957	509	31	tn−1	tn−1	PROPN
ejpam-5957	509	32	(	(	PUNCT
ejpam-5957	509	33	n−	n−	NOUN
ejpam-5957	509	34	1	1	NUM
ejpam-5957	509	35	)	)	PUNCT
ejpam-5957	509	36	!	!	PUNCT
ejpam-5957	510	1	=	=	PUNCT
ejpam-5957	511	1	∞∑	∞∑	PRON
ejpam-5957	511	2	n=0	n=0	NUM
ejpam-5957	511	3	(	(	PUNCT
ejpam-5957	511	4	n+	n+	NUM
ejpam-5957	511	5	1)hf	1)hf	PROPN
ejpam-5957	511	6	(	(	PUNCT
ejpam-5957	511	7	j	j	NOUN
ejpam-5957	511	8	)	)	PUNCT
ejpam-5957	511	9	n	n	PROPN
ejpam-5957	511	10	(	(	PUNCT
ejpam-5957	511	11	x	x	X
ejpam-5957	511	12	,	,	PUNCT
ejpam-5957	511	13	y	y	PROPN
ejpam-5957	511	14	;	;	PUNCT
ejpam-5957	511	15	z	z	X
ejpam-5957	511	16	)	)	PUNCT
ejpam-5957	511	17	tn	tn	PROPN
ejpam-5957	511	18	n	n	NUM
ejpam-5957	511	19	!	!	PUNCT
ejpam-5957	511	20	.	.	PUNCT
ejpam-5957	512	1	(	(	PUNCT
ejpam-5957	512	2	71	71	NUM
ejpam-5957	512	3	)	)	PUNCT
ejpam-5957	512	4	reindexing	reindexe	VERB
ejpam-5957	512	5	the	the	DET
ejpam-5957	512	6	left	left	ADJ
ejpam-5957	512	7	-	-	PUNCT
ejpam-5957	512	8	hand	hand	NOUN
ejpam-5957	512	9	side	side	NOUN
ejpam-5957	512	10	of	of	ADP
ejpam-5957	512	11	equation	equation	NOUN
ejpam-5957	512	12	(	(	PUNCT
ejpam-5957	512	13	71	71	NUM
ejpam-5957	512	14	)	)	PUNCT
ejpam-5957	512	15	,	,	PUNCT
ejpam-5957	512	16	we	we	PRON
ejpam-5957	512	17	have	have	VERB
ejpam-5957	512	18	∞∑	∞∑	NUM
ejpam-5957	512	19	n=0	n=0	SYM
ejpam-5957	512	20	∂	∂	NUM
ejpam-5957	512	21	∂x	∂x	PROPN
ejpam-5957	512	22	hf	hf	NOUN
ejpam-5957	512	23	(	(	PUNCT
ejpam-5957	512	24	j	j	PROPN
ejpam-5957	512	25	)	)	PUNCT
ejpam-5957	512	26	n+1(x	n+1(x	PROPN
ejpam-5957	512	27	,	,	PUNCT
ejpam-5957	512	28	y	y	PROPN
ejpam-5957	512	29	;	;	PUNCT
ejpam-5957	512	30	z	z	X
ejpam-5957	512	31	)	)	PUNCT
ejpam-5957	512	32	tn	tn	PROPN
ejpam-5957	512	33	n	n	NOUN
ejpam-5957	512	34	!	!	PUNCT
ejpam-5957	512	35	=	=	NOUN
ejpam-5957	513	1	∞∑	∞∑	PRON
ejpam-5957	513	2	n=0	n=0	NUM
ejpam-5957	513	3	(	(	PUNCT
ejpam-5957	513	4	n+	n+	NUM
ejpam-5957	513	5	1)hf	1)hf	PROPN
ejpam-5957	513	6	(	(	PUNCT
ejpam-5957	513	7	j	j	NOUN
ejpam-5957	513	8	)	)	PUNCT
ejpam-5957	513	9	n	n	PROPN
ejpam-5957	513	10	(	(	PUNCT
ejpam-5957	513	11	x	x	X
ejpam-5957	513	12	,	,	PUNCT
ejpam-5957	513	13	y	y	PROPN
ejpam-5957	513	14	;	;	PUNCT
ejpam-5957	513	15	z	z	X
ejpam-5957	513	16	)	)	PUNCT
ejpam-5957	513	17	tn	tn	PROPN
ejpam-5957	513	18	n	n	CCONJ
ejpam-5957	513	19	!	!	PUNCT
ejpam-5957	513	20	.	.	PUNCT
ejpam-5957	514	1	comparing	compare	VERB
ejpam-5957	514	2	the	the	DET
ejpam-5957	514	3	coefficients	coefficient	NOUN
ejpam-5957	514	4	of	of	ADP
ejpam-5957	514	5	tn	tn	NOUN
ejpam-5957	514	6	n	n	ADP
ejpam-5957	514	7	!	!	PUNCT
ejpam-5957	515	1	yields	yield	NOUN
ejpam-5957	515	2	to	to	ADP
ejpam-5957	515	3	(	(	PUNCT
ejpam-5957	515	4	67	67	NUM
ejpam-5957	515	5	)	)	PUNCT
ejpam-5957	515	6	.	.	PUNCT
ejpam-5957	516	1	moreover	moreover	ADV
ejpam-5957	516	2	,	,	PUNCT
ejpam-5957	516	3	we	we	PRON
ejpam-5957	516	4	will	will	AUX
ejpam-5957	516	5	prove	prove	VERB
ejpam-5957	516	6	(	(	PUNCT
ejpam-5957	516	7	68	68	NUM
ejpam-5957	516	8	)	)	PUNCT
ejpam-5957	516	9	analogously	analogously	ADV
ejpam-5957	516	10	.	.	PUNCT
ejpam-5957	517	1	that	that	PRON
ejpam-5957	517	2	is	is	ADV
ejpam-5957	517	3	,	,	PUNCT
ejpam-5957	517	4	differentiating	differentiate	VERB
ejpam-5957	517	5	both	both	DET
ejpam-5957	517	6	side	side	NOUN
ejpam-5957	517	7	of	of	ADP
ejpam-5957	517	8	equation	equation	NOUN
ejpam-5957	517	9	(	(	PUNCT
ejpam-5957	517	10	69	69	NUM
ejpam-5957	517	11	)	)	PUNCT
ejpam-5957	517	12	with	with	ADP
ejpam-5957	517	13	respect	respect	NOUN
ejpam-5957	517	14	to	to	ADP
ejpam-5957	517	15	z	z	PROPN
ejpam-5957	517	16	gives	give	VERB
ejpam-5957	517	17	us	we	PRON
ejpam-5957	517	18	∂	∂	NOUN
ejpam-5957	517	19	∂z	∂z	PROPN
ejpam-5957	518	1	[	[	PUNCT
ejpam-5957	518	2	∞∑	∞∑	PROPN
ejpam-5957	518	3	n=0	n=0	NUM
ejpam-5957	518	4	hf	hf	NOUN
ejpam-5957	518	5	(	(	PUNCT
ejpam-5957	518	6	j	j	NOUN
ejpam-5957	518	7	)	)	PUNCT
ejpam-5957	518	8	n	n	PROPN
ejpam-5957	518	9	(	(	PUNCT
ejpam-5957	518	10	x	x	X
ejpam-5957	518	11	,	,	PUNCT
ejpam-5957	518	12	y	y	PROPN
ejpam-5957	518	13	;	;	PUNCT
ejpam-5957	518	14	z	z	X
ejpam-5957	518	15	)	)	PUNCT
ejpam-5957	518	16	tn	tn	PROPN
ejpam-5957	518	17	n	n	NUM
ejpam-5957	518	18	!	!	PUNCT
ejpam-5957	518	19	]	]	PUNCT
ejpam-5957	519	1	=	=	SYM
ejpam-5957	519	2	∂	∂	NUM
ejpam-5957	520	1	∂z	∂z	PROPN
ejpam-5957	520	2	[	[	PUNCT
ejpam-5957	520	3	ext+ztj	ext+ztj	PROPN
ejpam-5957	520	4	(	(	PUNCT
ejpam-5957	520	5	1−	1−	NUM
ejpam-5957	520	6	y(et	y(et	X
ejpam-5957	520	7	−	−	PROPN
ejpam-5957	520	8	1))−1	1))−1	NUM
ejpam-5957	520	9	]	]	PUNCT
ejpam-5957	520	10	=	=	SYM
ejpam-5957	520	11	tjext+ztj	tjext+ztj	PROPN
ejpam-5957	520	12	(	(	PUNCT
ejpam-5957	520	13	1−	1−	NUM
ejpam-5957	520	14	y(et	y(et	X
ejpam-5957	520	15	−	−	PROPN
ejpam-5957	520	16	1))−1	1))−1	NUM
ejpam-5957	520	17	.	.	PUNCT
ejpam-5957	521	1	but	but	CCONJ
ejpam-5957	521	2	note	note	VERB
ejpam-5957	521	3	that	that	SCONJ
ejpam-5957	521	4	,	,	PUNCT
ejpam-5957	521	5	∂	∂	NUM
ejpam-5957	521	6	∂z	∂z	PROPN
ejpam-5957	521	7	[	[	PUNCT
ejpam-5957	521	8	∞∑	∞∑	PROPN
ejpam-5957	521	9	n=0	n=0	NUM
ejpam-5957	521	10	hf	hf	NOUN
ejpam-5957	521	11	(	(	PUNCT
ejpam-5957	521	12	j	j	NOUN
ejpam-5957	521	13	)	)	PUNCT
ejpam-5957	521	14	n	n	PROPN
ejpam-5957	521	15	(	(	PUNCT
ejpam-5957	521	16	x	x	X
ejpam-5957	521	17	,	,	PUNCT
ejpam-5957	521	18	y	y	PROPN
ejpam-5957	521	19	;	;	PUNCT
ejpam-5957	521	20	z	z	X
ejpam-5957	521	21	)	)	PUNCT
ejpam-5957	521	22	tn	tn	PROPN
ejpam-5957	522	1	n	n	NUM
ejpam-5957	522	2	!	!	PUNCT
ejpam-5957	522	3	]	]	PUNCT
ejpam-5957	523	1	=	=	PUNCT
ejpam-5957	523	2	∞∑	∞∑	NUM
ejpam-5957	523	3	n=0	n=0	NUM
ejpam-5957	523	4	∂	∂	NOUN
ejpam-5957	523	5	∂z	∂z	PROPN
ejpam-5957	523	6	hf	hf	PROPN
ejpam-5957	523	7	(	(	PUNCT
ejpam-5957	523	8	j	j	PROPN
ejpam-5957	523	9	)	)	PUNCT
ejpam-5957	523	10	n	n	PROPN
ejpam-5957	523	11	(	(	PUNCT
ejpam-5957	523	12	x	x	X
ejpam-5957	523	13	,	,	PUNCT
ejpam-5957	523	14	y	y	PROPN
ejpam-5957	523	15	;	;	PUNCT
ejpam-5957	523	16	z	z	X
ejpam-5957	523	17	)	)	PUNCT
ejpam-5957	523	18	tn	tn	PROPN
ejpam-5957	523	19	n	n	PROPN
ejpam-5957	523	20	!	!	PUNCT
ejpam-5957	523	21	.	.	PUNCT
ejpam-5957	524	1	hence	hence	ADV
ejpam-5957	524	2	,	,	PUNCT
ejpam-5957	524	3	∞∑	∞∑	DET
ejpam-5957	524	4	n=0	n=0	NUM
ejpam-5957	524	5	∂	∂	NUM
ejpam-5957	524	6	∂z	∂z	PROPN
ejpam-5957	524	7	hf	hf	PROPN
ejpam-5957	524	8	(	(	PUNCT
ejpam-5957	524	9	j	j	PROPN
ejpam-5957	524	10	)	)	PUNCT
ejpam-5957	524	11	n	n	PROPN
ejpam-5957	524	12	(	(	PUNCT
ejpam-5957	524	13	x	x	X
ejpam-5957	524	14	,	,	PUNCT
ejpam-5957	524	15	y	y	PROPN
ejpam-5957	524	16	;	;	PUNCT
ejpam-5957	524	17	z	z	X
ejpam-5957	524	18	)	)	PUNCT
ejpam-5957	524	19	tn	tn	PROPN
ejpam-5957	524	20	n	n	NOUN
ejpam-5957	524	21	!	!	PUNCT
ejpam-5957	525	1	=	=	PRON
ejpam-5957	525	2	tjext+ztj	tjext+ztj	PROPN
ejpam-5957	525	3	(	(	PUNCT
ejpam-5957	525	4	1−	1−	NUM
ejpam-5957	525	5	y(et	y(et	X
ejpam-5957	525	6	−	−	PROPN
ejpam-5957	525	7	1))−1	1))−1	NUM
ejpam-5957	525	8	.	.	PUNCT
ejpam-5957	526	1	(	(	PUNCT
ejpam-5957	526	2	72	72	NUM
ejpam-5957	526	3	)	)	PUNCT
ejpam-5957	526	4	then	then	ADV
ejpam-5957	526	5	,	,	PUNCT
ejpam-5957	526	6	by	by	ADP
ejpam-5957	526	7	applying	apply	VERB
ejpam-5957	526	8	definition	definition	NOUN
ejpam-5957	526	9	6	6	NUM
ejpam-5957	526	10	to	to	ADP
ejpam-5957	526	11	the	the	DET
ejpam-5957	526	12	right	right	ADJ
ejpam-5957	526	13	-	-	PUNCT
ejpam-5957	526	14	hand	hand	NOUN
ejpam-5957	526	15	side	side	NOUN
ejpam-5957	526	16	of	of	ADP
ejpam-5957	526	17	equation	equation	NOUN
ejpam-5957	526	18	(	(	PUNCT
ejpam-5957	526	19	72	72	NUM
ejpam-5957	526	20	)	)	PUNCT
ejpam-5957	526	21	we	we	PRON
ejpam-5957	526	22	get	get	VERB
ejpam-5957	526	23	∞∑	∞∑	NUM
ejpam-5957	526	24	n=0	n=0	NUM
ejpam-5957	526	25	∂	∂	NOUN
ejpam-5957	526	26	∂z	∂z	PROPN
ejpam-5957	526	27	hf	hf	PROPN
ejpam-5957	526	28	(	(	PUNCT
ejpam-5957	526	29	j	j	PROPN
ejpam-5957	526	30	)	)	PUNCT
ejpam-5957	526	31	n	n	PROPN
ejpam-5957	526	32	(	(	PUNCT
ejpam-5957	526	33	x	x	X
ejpam-5957	526	34	,	,	PUNCT
ejpam-5957	526	35	y	y	PROPN
ejpam-5957	526	36	;	;	PUNCT
ejpam-5957	526	37	z	z	X
ejpam-5957	526	38	)	)	PUNCT
ejpam-5957	526	39	tn	tn	PROPN
ejpam-5957	526	40	n	n	NOUN
ejpam-5957	526	41	!	!	PUNCT
ejpam-5957	527	1	=	=	NOUN
ejpam-5957	528	1	∞∑	∞∑	DET
ejpam-5957	528	2	n=0	n=0	NUM
ejpam-5957	528	3	hf	hf	NOUN
ejpam-5957	528	4	(	(	PUNCT
ejpam-5957	528	5	j	j	NOUN
ejpam-5957	528	6	)	)	PUNCT
ejpam-5957	528	7	n	n	PROPN
ejpam-5957	528	8	(	(	PUNCT
ejpam-5957	528	9	x	x	X
ejpam-5957	528	10	,	,	PUNCT
ejpam-5957	528	11	y	y	PROPN
ejpam-5957	528	12	;	;	PUNCT
ejpam-5957	528	13	z	z	X
ejpam-5957	528	14	)	)	PUNCT
ejpam-5957	528	15	tn+j	tn+j	PROPN
ejpam-5957	528	16	n	n	PRON
ejpam-5957	528	17	!	!	PUNCT
ejpam-5957	528	18	.	.	PUNCT
ejpam-5957	529	1	r.	r.	PROPN
ejpam-5957	529	2	g.	g.	PROPN
ejpam-5957	529	3	bago	bago	PROPN
ejpam-5957	529	4	,	,	PUNCT
ejpam-5957	529	5	n.	n.	PROPN
ejpam-5957	529	6	s.	s.	PROPN
ejpam-5957	529	7	abdulcarim	abdulcarim	PROPN
ejpam-5957	529	8	/	/	SYM
ejpam-5957	529	9	eur	eur	PROPN
ejpam-5957	529	10	.	.	PUNCT
ejpam-5957	530	1	j.	j.	PROPN
ejpam-5957	530	2	pure	pure	PROPN
ejpam-5957	530	3	appl	appl	PROPN
ejpam-5957	530	4	.	.	PROPN
ejpam-5957	530	5	math	math	PROPN
ejpam-5957	530	6	,	,	PUNCT
ejpam-5957	530	7	18	18	NUM
ejpam-5957	530	8	(	(	PUNCT
ejpam-5957	530	9	2	2	NUM
ejpam-5957	530	10	)	)	PUNCT
ejpam-5957	530	11	(	(	PUNCT
ejpam-5957	530	12	2025	2025	NUM
ejpam-5957	530	13	)	)	PUNCT
ejpam-5957	530	14	,	,	PUNCT
ejpam-5957	530	15	5957	5957	NUM
ejpam-5957	530	16	21	21	NUM
ejpam-5957	530	17	of	of	ADP
ejpam-5957	530	18	25	25	NUM
ejpam-5957	530	19	differentiating	differentiate	VERB
ejpam-5957	530	20	both	both	DET
ejpam-5957	530	21	sides	side	NOUN
ejpam-5957	530	22	of	of	ADP
ejpam-5957	530	23	the	the	DET
ejpam-5957	530	24	above	above	ADJ
ejpam-5957	530	25	equation	equation	NOUN
ejpam-5957	530	26	with	with	ADP
ejpam-5957	530	27	respect	respect	NOUN
ejpam-5957	530	28	to	to	ADP
ejpam-5957	530	29	t	t	PROPN
ejpam-5957	531	1	,	,	PUNCT
ejpam-5957	531	2	we	we	PRON
ejpam-5957	531	3	have	have	VERB
ejpam-5957	531	4	∞∑	∞∑	NUM
ejpam-5957	531	5	n=1	n=1	NOUN
ejpam-5957	531	6	∂	∂	ADJ
ejpam-5957	531	7	∂z	∂z	PROPN
ejpam-5957	531	8	hf	hf	PROPN
ejpam-5957	531	9	(	(	PUNCT
ejpam-5957	531	10	j	j	PROPN
ejpam-5957	531	11	)	)	PUNCT
ejpam-5957	531	12	n	n	PROPN
ejpam-5957	531	13	(	(	PUNCT
ejpam-5957	531	14	x	x	X
ejpam-5957	531	15	,	,	PUNCT
ejpam-5957	531	16	y	y	PROPN
ejpam-5957	531	17	;	;	PUNCT
ejpam-5957	531	18	z	z	X
ejpam-5957	531	19	)	)	PUNCT
ejpam-5957	531	20	tn−1	tn−1	PROPN
ejpam-5957	531	21	(	(	PUNCT
ejpam-5957	531	22	n−	n−	NOUN
ejpam-5957	531	23	1	1	NUM
ejpam-5957	531	24	)	)	PUNCT
ejpam-5957	531	25	!	!	PUNCT
ejpam-5957	532	1	=	=	PUNCT
ejpam-5957	533	1	∞∑	∞∑	PRON
ejpam-5957	533	2	n=0	n=0	NUM
ejpam-5957	533	3	(	(	PUNCT
ejpam-5957	533	4	n+	n+	PROPN
ejpam-5957	533	5	j)hf	j)hf	PROPN
ejpam-5957	533	6	(	(	PUNCT
ejpam-5957	533	7	j	j	PROPN
ejpam-5957	533	8	)	)	PUNCT
ejpam-5957	533	9	n	n	PROPN
ejpam-5957	533	10	(	(	PUNCT
ejpam-5957	533	11	x	x	X
ejpam-5957	533	12	,	,	PUNCT
ejpam-5957	533	13	y	y	PROPN
ejpam-5957	533	14	;	;	PUNCT
ejpam-5957	533	15	z	z	X
ejpam-5957	533	16	)	)	PUNCT
ejpam-5957	533	17	tn+j−1	tn+j−1	PROPN
ejpam-5957	533	18	n	n	CCONJ
ejpam-5957	533	19	!	!	PUNCT
ejpam-5957	533	20	.	.	PUNCT
ejpam-5957	534	1	(	(	PUNCT
ejpam-5957	534	2	73	73	NUM
ejpam-5957	534	3	)	)	PUNCT
ejpam-5957	534	4	reindexing	reindexe	VERB
ejpam-5957	534	5	the	the	DET
ejpam-5957	534	6	left	left	ADJ
ejpam-5957	534	7	-	-	PUNCT
ejpam-5957	534	8	hand	hand	NOUN
ejpam-5957	534	9	side	side	NOUN
ejpam-5957	534	10	of	of	ADP
ejpam-5957	534	11	equation	equation	NOUN
ejpam-5957	534	12	(	(	PUNCT
ejpam-5957	534	13	73	73	NUM
ejpam-5957	534	14	)	)	PUNCT
ejpam-5957	534	15	,	,	PUNCT
ejpam-5957	534	16	we	we	PRON
ejpam-5957	534	17	have	have	VERB
ejpam-5957	534	18	∞∑	∞∑	NUM
ejpam-5957	534	19	n=0	n=0	NUM
ejpam-5957	534	20	∂	∂	NUM
ejpam-5957	534	21	∂z	∂z	PROPN
ejpam-5957	534	22	hf	hf	PROPN
ejpam-5957	534	23	(	(	PUNCT
ejpam-5957	534	24	j	j	PROPN
ejpam-5957	534	25	)	)	PUNCT
ejpam-5957	534	26	n+1(x	n+1(x	PROPN
ejpam-5957	534	27	,	,	PUNCT
ejpam-5957	534	28	y	y	PROPN
ejpam-5957	534	29	;	;	PUNCT
ejpam-5957	534	30	z	z	X
ejpam-5957	534	31	)	)	PUNCT
ejpam-5957	534	32	tn	tn	PROPN
ejpam-5957	534	33	n	n	NOUN
ejpam-5957	534	34	!	!	PUNCT
ejpam-5957	535	1	=	=	NOUN
ejpam-5957	536	1	∞∑	∞∑	PRON
ejpam-5957	536	2	n=0	n=0	NUM
ejpam-5957	536	3	(	(	PUNCT
ejpam-5957	536	4	n+	n+	PROPN
ejpam-5957	536	5	j)hf	j)hf	PROPN
ejpam-5957	536	6	(	(	PUNCT
ejpam-5957	536	7	j	j	PROPN
ejpam-5957	536	8	)	)	PUNCT
ejpam-5957	536	9	n	n	PROPN
ejpam-5957	536	10	(	(	PUNCT
ejpam-5957	536	11	x	x	X
ejpam-5957	536	12	,	,	PUNCT
ejpam-5957	536	13	y	y	PROPN
ejpam-5957	536	14	;	;	PUNCT
ejpam-5957	536	15	z	z	X
ejpam-5957	536	16	)	)	PUNCT
ejpam-5957	536	17	tn+j−1	tn+j−1	PROPN
ejpam-5957	536	18	n	n	CCONJ
ejpam-5957	536	19	!	!	PUNCT
ejpam-5957	536	20	.	.	PUNCT
ejpam-5957	537	1	again	again	ADV
ejpam-5957	537	2	,	,	PUNCT
ejpam-5957	537	3	differentiating	differentiate	VERB
ejpam-5957	537	4	both	both	DET
ejpam-5957	537	5	sides	side	NOUN
ejpam-5957	537	6	of	of	ADP
ejpam-5957	537	7	the	the	DET
ejpam-5957	537	8	above	above	ADJ
ejpam-5957	537	9	equation	equation	NOUN
ejpam-5957	537	10	with	with	ADP
ejpam-5957	537	11	respect	respect	NOUN
ejpam-5957	537	12	to	to	ADP
ejpam-5957	537	13	t	t	PROPN
ejpam-5957	537	14	,	,	PUNCT
ejpam-5957	537	15	we	we	PRON
ejpam-5957	537	16	have	have	VERB
ejpam-5957	537	17	∞∑	∞∑	NUM
ejpam-5957	537	18	n=1	n=1	NOUN
ejpam-5957	537	19	∂	∂	ADJ
ejpam-5957	537	20	∂z	∂z	PROPN
ejpam-5957	537	21	hf	hf	PROPN
ejpam-5957	537	22	(	(	PUNCT
ejpam-5957	537	23	j	j	PROPN
ejpam-5957	537	24	)	)	PUNCT
ejpam-5957	537	25	n+1(x	n+1(x	PROPN
ejpam-5957	537	26	,	,	PUNCT
ejpam-5957	537	27	y	y	PROPN
ejpam-5957	537	28	;	;	PUNCT
ejpam-5957	537	29	z	z	X
ejpam-5957	537	30	)	)	PUNCT
ejpam-5957	537	31	tn−1	tn−1	PROPN
ejpam-5957	537	32	(	(	PUNCT
ejpam-5957	537	33	n−	n−	NOUN
ejpam-5957	537	34	1	1	NUM
ejpam-5957	537	35	)	)	PUNCT
ejpam-5957	537	36	!	!	PUNCT
ejpam-5957	538	1	=	=	PUNCT
ejpam-5957	539	1	∞∑	∞∑	PRON
ejpam-5957	539	2	n=0	n=0	NUM
ejpam-5957	539	3	(	(	PUNCT
ejpam-5957	539	4	n+	n+	NUM
ejpam-5957	539	5	j)(n+	j)(n+	PROPN
ejpam-5957	539	6	j	j	PROPN
ejpam-5957	540	1	−	−	PROPN
ejpam-5957	540	2	1)hf	1)hf	PROPN
ejpam-5957	540	3	(	(	PUNCT
ejpam-5957	540	4	j	j	NOUN
ejpam-5957	540	5	)	)	PUNCT
ejpam-5957	540	6	n	n	PROPN
ejpam-5957	540	7	(	(	PUNCT
ejpam-5957	540	8	x	x	X
ejpam-5957	540	9	,	,	PUNCT
ejpam-5957	540	10	y	y	PROPN
ejpam-5957	540	11	;	;	PUNCT
ejpam-5957	540	12	z	z	X
ejpam-5957	540	13	)	)	PUNCT
ejpam-5957	540	14	tn+j−2	tn+j−2	PROPN
ejpam-5957	540	15	n	n	CCONJ
ejpam-5957	540	16	!	!	PUNCT
ejpam-5957	540	17	.	.	PUNCT
ejpam-5957	541	1	(	(	PUNCT
ejpam-5957	541	2	74	74	X
ejpam-5957	541	3	)	)	PUNCT
ejpam-5957	541	4	reindexing	reindexe	VERB
ejpam-5957	541	5	the	the	DET
ejpam-5957	541	6	left	left	ADJ
ejpam-5957	541	7	-	-	PUNCT
ejpam-5957	541	8	hand	hand	NOUN
ejpam-5957	541	9	side	side	NOUN
ejpam-5957	541	10	of	of	ADP
ejpam-5957	541	11	equation	equation	NOUN
ejpam-5957	541	12	(	(	PUNCT
ejpam-5957	541	13	74	74	NUM
ejpam-5957	541	14	)	)	PUNCT
ejpam-5957	541	15	,	,	PUNCT
ejpam-5957	541	16	we	we	PRON
ejpam-5957	541	17	have	have	VERB
ejpam-5957	541	18	∞∑	∞∑	NUM
ejpam-5957	541	19	n=0	n=0	NUM
ejpam-5957	541	20	∂	∂	NUM
ejpam-5957	541	21	∂z	∂z	PROPN
ejpam-5957	541	22	hf	hf	PROPN
ejpam-5957	541	23	(	(	PUNCT
ejpam-5957	541	24	j	j	PROPN
ejpam-5957	541	25	)	)	PUNCT
ejpam-5957	541	26	n+2(x	n+2(x	PROPN
ejpam-5957	541	27	,	,	PUNCT
ejpam-5957	541	28	y	y	PROPN
ejpam-5957	541	29	;	;	PUNCT
ejpam-5957	541	30	z	z	X
ejpam-5957	541	31	)	)	PUNCT
ejpam-5957	541	32	tn	tn	PROPN
ejpam-5957	541	33	n	n	NOUN
ejpam-5957	541	34	!	!	PUNCT
ejpam-5957	541	35	=	=	NOUN
ejpam-5957	542	1	∞∑	∞∑	PRON
ejpam-5957	542	2	n=0	n=0	NUM
ejpam-5957	542	3	(	(	PUNCT
ejpam-5957	542	4	n+	n+	NUM
ejpam-5957	542	5	j)(n+	j)(n+	PROPN
ejpam-5957	542	6	j	j	PROPN
ejpam-5957	543	1	−	−	PROPN
ejpam-5957	543	2	1)hf	1)hf	PROPN
ejpam-5957	543	3	(	(	PUNCT
ejpam-5957	543	4	j	j	NOUN
ejpam-5957	543	5	)	)	PUNCT
ejpam-5957	543	6	n	n	PROPN
ejpam-5957	543	7	(	(	PUNCT
ejpam-5957	543	8	x	x	X
ejpam-5957	543	9	,	,	PUNCT
ejpam-5957	543	10	y	y	PROPN
ejpam-5957	543	11	;	;	PUNCT
ejpam-5957	543	12	z	z	X
ejpam-5957	543	13	)	)	PUNCT
ejpam-5957	543	14	tn+j−2	tn+j−2	PROPN
ejpam-5957	543	15	n	n	CCONJ
ejpam-5957	543	16	!	!	PUNCT
ejpam-5957	543	17	.	.	PUNCT
ejpam-5957	544	1	continue	continue	VERB
ejpam-5957	544	2	doing	do	VERB
ejpam-5957	544	3	this	this	PRON
ejpam-5957	544	4	,	,	PUNCT
ejpam-5957	544	5	until	until	SCONJ
ejpam-5957	544	6	we	we	PRON
ejpam-5957	544	7	arrive	arrive	VERB
ejpam-5957	544	8	with	with	ADP
ejpam-5957	544	9	∞∑	∞∑	NUM
ejpam-5957	544	10	n=1	n=1	NUM
ejpam-5957	544	11	∂	∂	NOUN
ejpam-5957	544	12	∂z	∂z	PROPN
ejpam-5957	544	13	hf	hf	PROPN
ejpam-5957	544	14	(	(	PUNCT
ejpam-5957	544	15	j	j	NOUN
ejpam-5957	544	16	)	)	PUNCT
ejpam-5957	544	17	n+j−1(x	n+j−1(x	PROPN
ejpam-5957	544	18	,	,	PUNCT
ejpam-5957	544	19	y	y	PROPN
ejpam-5957	544	20	;	;	PUNCT
ejpam-5957	544	21	z	z	X
ejpam-5957	544	22	)	)	PUNCT
ejpam-5957	544	23	tn−1	tn−1	PROPN
ejpam-5957	544	24	(	(	PUNCT
ejpam-5957	544	25	n−	n−	NOUN
ejpam-5957	544	26	1	1	NUM
ejpam-5957	544	27	)	)	PUNCT
ejpam-5957	544	28	!	!	PUNCT
ejpam-5957	545	1	=	=	PUNCT
ejpam-5957	546	1	∞∑	∞∑	PRON
ejpam-5957	546	2	n=0	n=0	NUM
ejpam-5957	546	3	(	(	PUNCT
ejpam-5957	546	4	n+	n+	NUM
ejpam-5957	546	5	j)(n+	j)(n+	PROPN
ejpam-5957	546	6	j	j	PROPN
ejpam-5957	546	7	−	−	PROPN
ejpam-5957	546	8	1	1	NUM
ejpam-5957	546	9	)	)	PUNCT
ejpam-5957	546	10	.	.	PUNCT
ejpam-5957	546	11	.	.	PUNCT
ejpam-5957	546	12	.	.	PUNCT
ejpam-5957	547	1	(	(	PUNCT
ejpam-5957	547	2	n+	n+	NUM
ejpam-5957	547	3	1)hf	1)hf	PROPN
ejpam-5957	547	4	(	(	PUNCT
ejpam-5957	547	5	j	j	NOUN
ejpam-5957	547	6	)	)	PUNCT
ejpam-5957	547	7	n	n	PROPN
ejpam-5957	547	8	(	(	PUNCT
ejpam-5957	547	9	x	x	X
ejpam-5957	547	10	,	,	PUNCT
ejpam-5957	547	11	y	y	PROPN
ejpam-5957	547	12	;	;	PUNCT
ejpam-5957	547	13	z	z	X
ejpam-5957	547	14	)	)	PUNCT
ejpam-5957	547	15	tn	tn	PROPN
ejpam-5957	547	16	n	n	NUM
ejpam-5957	547	17	!	!	PUNCT
ejpam-5957	547	18	.	.	PUNCT
ejpam-5957	548	1	(	(	PUNCT
ejpam-5957	548	2	75	75	NUM
ejpam-5957	548	3	)	)	PUNCT
ejpam-5957	548	4	reindexing	reindexe	VERB
ejpam-5957	548	5	the	the	DET
ejpam-5957	548	6	left	left	ADJ
ejpam-5957	548	7	-	-	PUNCT
ejpam-5957	548	8	hand	hand	NOUN
ejpam-5957	548	9	side	side	NOUN
ejpam-5957	548	10	of	of	ADP
ejpam-5957	548	11	equation	equation	NOUN
ejpam-5957	548	12	(	(	PUNCT
ejpam-5957	548	13	75	75	NUM
ejpam-5957	548	14	)	)	PUNCT
ejpam-5957	548	15	,	,	PUNCT
ejpam-5957	548	16	we	we	PRON
ejpam-5957	548	17	have	have	VERB
ejpam-5957	548	18	∞∑	∞∑	NUM
ejpam-5957	548	19	n=0	n=0	NUM
ejpam-5957	548	20	∂	∂	NUM
ejpam-5957	548	21	∂z	∂z	PROPN
ejpam-5957	548	22	hf	hf	PROPN
ejpam-5957	548	23	(	(	PUNCT
ejpam-5957	548	24	j	j	NOUN
ejpam-5957	548	25	)	)	PUNCT
ejpam-5957	548	26	n+j(x	n+j(x	NOUN
ejpam-5957	548	27	,	,	PUNCT
ejpam-5957	548	28	y	y	NOUN
ejpam-5957	548	29	;	;	PUNCT
ejpam-5957	548	30	z	z	X
ejpam-5957	548	31	)	)	PUNCT
ejpam-5957	548	32	tn	tn	PROPN
ejpam-5957	548	33	n	n	NOUN
ejpam-5957	548	34	!	!	PUNCT
ejpam-5957	548	35	=	=	NOUN
ejpam-5957	549	1	∞∑	∞∑	PRON
ejpam-5957	549	2	n=0	n=0	NUM
ejpam-5957	549	3	(	(	PUNCT
ejpam-5957	549	4	n+	n+	NUM
ejpam-5957	549	5	j)(n+	j)(n+	PROPN
ejpam-5957	549	6	j	j	PROPN
ejpam-5957	549	7	−	−	PROPN
ejpam-5957	549	8	1	1	NUM
ejpam-5957	549	9	)	)	PUNCT
ejpam-5957	549	10	.	.	PUNCT
ejpam-5957	549	11	.	.	PUNCT
ejpam-5957	549	12	.	.	PUNCT
ejpam-5957	550	1	(	(	PUNCT
ejpam-5957	550	2	n+	n+	NUM
ejpam-5957	550	3	1)hf	1)hf	PROPN
ejpam-5957	550	4	(	(	PUNCT
ejpam-5957	550	5	j	j	NOUN
ejpam-5957	550	6	)	)	PUNCT
ejpam-5957	550	7	n	n	PROPN
ejpam-5957	550	8	(	(	PUNCT
ejpam-5957	550	9	x	x	X
ejpam-5957	550	10	,	,	PUNCT
ejpam-5957	550	11	y	y	PROPN
ejpam-5957	550	12	;	;	PUNCT
ejpam-5957	550	13	z	z	X
ejpam-5957	550	14	)	)	PUNCT
ejpam-5957	550	15	tn	tn	PROPN
ejpam-5957	550	16	n	n	NOUN
ejpam-5957	550	17	!	!	PUNCT
ejpam-5957	550	18	=	=	NOUN
ejpam-5957	551	1	∞∑	∞∑	PRON
ejpam-5957	551	2	n=0	n=0	NUM
ejpam-5957	551	3	(	(	PUNCT
ejpam-5957	551	4	n+	n+	X
ejpam-5957	551	5	j)j	j)j	ADJ
ejpam-5957	551	6	hf	hf	PROPN
ejpam-5957	551	7	(	(	PUNCT
ejpam-5957	551	8	j	j	PROPN
ejpam-5957	551	9	)	)	PUNCT
ejpam-5957	551	10	n	n	PROPN
ejpam-5957	551	11	(	(	PUNCT
ejpam-5957	551	12	x	x	X
ejpam-5957	551	13	,	,	PUNCT
ejpam-5957	551	14	y	y	PROPN
ejpam-5957	551	15	;	;	PUNCT
ejpam-5957	551	16	z	z	X
ejpam-5957	551	17	)	)	PUNCT
ejpam-5957	551	18	tn	tn	PROPN
ejpam-5957	551	19	n	n	PROPN
ejpam-5957	551	20	!	!	PUNCT
ejpam-5957	551	21	.	.	PUNCT
ejpam-5957	552	1	finally	finally	ADV
ejpam-5957	552	2	,	,	PUNCT
ejpam-5957	552	3	comparing	compare	VERB
ejpam-5957	552	4	the	the	DET
ejpam-5957	552	5	coefficients	coefficient	NOUN
ejpam-5957	552	6	of	of	ADP
ejpam-5957	552	7	tn	tn	NOUN
ejpam-5957	552	8	n	n	ADP
ejpam-5957	552	9	!	!	PUNCT
ejpam-5957	553	1	yields	yield	NOUN
ejpam-5957	553	2	to	to	ADP
ejpam-5957	553	3	(	(	PUNCT
ejpam-5957	553	4	68	68	NUM
ejpam-5957	553	5	)	)	PUNCT
ejpam-5957	553	6	.	.	PUNCT
ejpam-5957	554	1	the	the	DET
ejpam-5957	554	2	subsequent	subsequent	ADJ
ejpam-5957	554	3	theorem	theorem	NOUN
ejpam-5957	554	4	will	will	AUX
ejpam-5957	554	5	established	establish	VERB
ejpam-5957	554	6	the	the	DET
ejpam-5957	554	7	integral	integral	ADJ
ejpam-5957	554	8	formulae	formulae	NOUN
ejpam-5957	554	9	for	for	ADP
ejpam-5957	554	10	gould	gould	NOUN
ejpam-5957	554	11	-	-	PUNCT
ejpam-5957	554	12	hopper	hopper	NOUN
ejpam-5957	554	13	-	-	PUNCT
ejpam-5957	554	14	based	base	VERB
ejpam-5957	554	15	bivariate	bivariate	ADJ
ejpam-5957	554	16	fubini	fubini	ADJ
ejpam-5957	554	17	polynomials	polynomial	NOUN
ejpam-5957	554	18	.	.	PUNCT
ejpam-5957	555	1	theorem	theorem	NOUN
ejpam-5957	555	2	19	19	NUM
ejpam-5957	555	3	.	.	PUNCT
ejpam-5957	556	1	for	for	ADP
ejpam-5957	556	2	n	n	PRON
ejpam-5957	556	3	≥	≥	NOUN
ejpam-5957	556	4	0	0	NUM
ejpam-5957	556	5	,	,	PUNCT
ejpam-5957	556	6	the	the	DET
ejpam-5957	556	7	following	follow	VERB
ejpam-5957	556	8	formulae	formulae	NOUN
ejpam-5957	556	9	for	for	ADP
ejpam-5957	556	10	gould	gould	NOUN
ejpam-5957	556	11	-	-	PUNCT
ejpam-5957	556	12	hopper	hopper	NOUN
ejpam-5957	556	13	-	-	PUNCT
ejpam-5957	556	14	based	base	VERB
ejpam-5957	556	15	bivariate	bivariate	ADJ
ejpam-5957	556	16	fubini	fubini	ADJ
ejpam-5957	556	17	polynomials	polynomial	NOUN
ejpam-5957	556	18	holds	hold	VERB
ejpam-5957	556	19	:	:	PUNCT
ejpam-5957	557	1	i.	i.	PROPN
ejpam-5957	557	2	∫	∫	PROPN
ejpam-5957	557	3	hf	hf	PROPN
ejpam-5957	557	4	(	(	PUNCT
ejpam-5957	557	5	j	j	PROPN
ejpam-5957	557	6	)	)	PUNCT
ejpam-5957	557	7	n	n	PROPN
ejpam-5957	557	8	(	(	PUNCT
ejpam-5957	557	9	x	x	X
ejpam-5957	557	10	,	,	PUNCT
ejpam-5957	557	11	y	y	PROPN
ejpam-5957	557	12	;	;	PUNCT
ejpam-5957	557	13	z)dx	z)dx	PROPN
ejpam-5957	557	14	=	=	SYM
ejpam-5957	557	15	1	1	NUM
ejpam-5957	557	16	(	(	PUNCT
ejpam-5957	557	17	n+	n+	NOUN
ejpam-5957	557	18	1	1	NUM
ejpam-5957	557	19	)	)	PUNCT
ejpam-5957	557	20	hf	hf	NOUN
ejpam-5957	557	21	(	(	PUNCT
ejpam-5957	557	22	j	j	PROPN
ejpam-5957	557	23	)	)	PUNCT
ejpam-5957	557	24	n+1(x	n+1(x	PROPN
ejpam-5957	557	25	,	,	PUNCT
ejpam-5957	557	26	y	y	PROPN
ejpam-5957	557	27	;	;	PUNCT
ejpam-5957	557	28	z	z	X
ejpam-5957	557	29	)	)	PUNCT
ejpam-5957	557	30	,	,	PUNCT
ejpam-5957	557	31	(	(	PUNCT
ejpam-5957	557	32	76	76	X
ejpam-5957	557	33	)	)	PUNCT
ejpam-5957	557	34	ii	ii	PROPN
ejpam-5957	557	35	.	.	PUNCT
ejpam-5957	557	36	∫	∫	PROPN
ejpam-5957	558	1	hf	hf	PROPN
ejpam-5957	558	2	(	(	PUNCT
ejpam-5957	558	3	j	j	PROPN
ejpam-5957	558	4	)	)	PUNCT
ejpam-5957	558	5	n	n	PROPN
ejpam-5957	558	6	(	(	PUNCT
ejpam-5957	558	7	x	x	X
ejpam-5957	558	8	,	,	PUNCT
ejpam-5957	558	9	y	y	PROPN
ejpam-5957	558	10	;	;	PUNCT
ejpam-5957	558	11	z)dz	z)dz	PROPN
ejpam-5957	558	12	=	=	SYM
ejpam-5957	558	13	1	1	NUM
ejpam-5957	558	14	(	(	PUNCT
ejpam-5957	558	15	n+	n+	NUM
ejpam-5957	558	16	j)j	j)j	PROPN
ejpam-5957	558	17	hf	hf	PROPN
ejpam-5957	558	18	(	(	PUNCT
ejpam-5957	558	19	j	j	NOUN
ejpam-5957	558	20	)	)	PUNCT
ejpam-5957	558	21	n+j(x	n+j(x	NOUN
ejpam-5957	558	22	,	,	PUNCT
ejpam-5957	558	23	y	y	NOUN
ejpam-5957	558	24	;	;	PUNCT
ejpam-5957	558	25	z	z	NOUN
ejpam-5957	558	26	)	)	PUNCT
ejpam-5957	558	27	.	.	PUNCT
ejpam-5957	559	1	(	(	PUNCT
ejpam-5957	559	2	77	77	X
ejpam-5957	559	3	)	)	PUNCT
ejpam-5957	559	4	r.	r.	PROPN
ejpam-5957	559	5	g.	g.	PROPN
ejpam-5957	559	6	bago	bago	PROPN
ejpam-5957	559	7	,	,	PUNCT
ejpam-5957	559	8	n.	n.	PROPN
ejpam-5957	559	9	s.	s.	PROPN
ejpam-5957	559	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	559	11	/	/	SYM
ejpam-5957	559	12	eur	eur	PROPN
ejpam-5957	559	13	.	.	PUNCT
ejpam-5957	560	1	j.	j.	PROPN
ejpam-5957	560	2	pure	pure	PROPN
ejpam-5957	560	3	appl	appl	PROPN
ejpam-5957	560	4	.	.	PROPN
ejpam-5957	560	5	math	math	PROPN
ejpam-5957	560	6	,	,	PUNCT
ejpam-5957	560	7	18	18	NUM
ejpam-5957	560	8	(	(	PUNCT
ejpam-5957	560	9	2	2	NUM
ejpam-5957	560	10	)	)	PUNCT
ejpam-5957	560	11	(	(	PUNCT
ejpam-5957	560	12	2025	2025	NUM
ejpam-5957	560	13	)	)	PUNCT
ejpam-5957	560	14	,	,	PUNCT
ejpam-5957	560	15	5957	5957	NUM
ejpam-5957	560	16	22	22	NUM
ejpam-5957	560	17	of	of	ADP
ejpam-5957	560	18	25	25	NUM
ejpam-5957	560	19	proof	proof	NOUN
ejpam-5957	560	20	.	.	PUNCT
ejpam-5957	561	1	from	from	ADP
ejpam-5957	561	2	(	(	PUNCT
ejpam-5957	561	3	67	67	NUM
ejpam-5957	561	4	)	)	PUNCT
ejpam-5957	561	5	,	,	PUNCT
ejpam-5957	561	6	it	it	PRON
ejpam-5957	561	7	follows	follow	VERB
ejpam-5957	561	8	that	that	PRON
ejpam-5957	561	9	∂	∂	ADJ
ejpam-5957	562	1	∂x	∂x	PROPN
ejpam-5957	562	2	1	1	NUM
ejpam-5957	562	3	(	(	PUNCT
ejpam-5957	562	4	n+	n+	NOUN
ejpam-5957	562	5	1	1	NUM
ejpam-5957	562	6	)	)	PUNCT
ejpam-5957	562	7	hf	hf	NOUN
ejpam-5957	562	8	(	(	PUNCT
ejpam-5957	562	9	j	j	PROPN
ejpam-5957	562	10	)	)	PUNCT
ejpam-5957	562	11	n+1(x	n+1(x	PROPN
ejpam-5957	562	12	,	,	PUNCT
ejpam-5957	562	13	y	y	PROPN
ejpam-5957	562	14	;	;	PUNCT
ejpam-5957	562	15	z	z	X
ejpam-5957	562	16	)	)	PUNCT
ejpam-5957	562	17	=	=	SYM
ejpam-5957	562	18	hf	hf	X
ejpam-5957	562	19	(	(	PUNCT
ejpam-5957	562	20	j	j	NOUN
ejpam-5957	562	21	)	)	PUNCT
ejpam-5957	562	22	n	n	PROPN
ejpam-5957	562	23	(	(	PUNCT
ejpam-5957	562	24	x	x	X
ejpam-5957	562	25	,	,	PUNCT
ejpam-5957	562	26	y	y	PROPN
ejpam-5957	562	27	;	;	PUNCT
ejpam-5957	562	28	z	z	NOUN
ejpam-5957	562	29	)	)	PUNCT
ejpam-5957	562	30	.	.	PUNCT
ejpam-5957	563	1	(	(	PUNCT
ejpam-5957	563	2	78	78	X
ejpam-5957	563	3	)	)	PUNCT
ejpam-5957	563	4	integrating	integrate	VERB
ejpam-5957	563	5	both	both	DET
ejpam-5957	563	6	sides	side	NOUN
ejpam-5957	563	7	of	of	ADP
ejpam-5957	563	8	(	(	PUNCT
ejpam-5957	563	9	78	78	NUM
ejpam-5957	563	10	)	)	PUNCT
ejpam-5957	563	11	with	with	ADP
ejpam-5957	563	12	respect	respect	NOUN
ejpam-5957	563	13	to	to	ADP
ejpam-5957	563	14	x	x	X
ejpam-5957	563	15	gives	give	VERB
ejpam-5957	563	16	1	1	NUM
ejpam-5957	563	17	(	(	PUNCT
ejpam-5957	563	18	n+	n+	NOUN
ejpam-5957	563	19	1	1	NUM
ejpam-5957	563	20	)	)	PUNCT
ejpam-5957	563	21	hf	hf	NOUN
ejpam-5957	563	22	(	(	PUNCT
ejpam-5957	563	23	j	j	PROPN
ejpam-5957	563	24	)	)	PUNCT
ejpam-5957	563	25	n+1(x	n+1(x	PROPN
ejpam-5957	563	26	,	,	PUNCT
ejpam-5957	563	27	y	y	PROPN
ejpam-5957	563	28	;	;	PUNCT
ejpam-5957	563	29	z	z	X
ejpam-5957	563	30	)	)	PUNCT
ejpam-5957	564	1	=	=	SYM
ejpam-5957	564	2	∫	∫	PROPN
ejpam-5957	564	3	hf	hf	PROPN
ejpam-5957	564	4	(	(	PUNCT
ejpam-5957	564	5	j	j	PROPN
ejpam-5957	564	6	)	)	PUNCT
ejpam-5957	564	7	n	n	PROPN
ejpam-5957	564	8	(	(	PUNCT
ejpam-5957	564	9	x	x	X
ejpam-5957	564	10	,	,	PUNCT
ejpam-5957	564	11	y	y	PROPN
ejpam-5957	564	12	;	;	PUNCT
ejpam-5957	564	13	z)dx	z)dx	PROPN
ejpam-5957	564	14	.	.	PUNCT
ejpam-5957	565	1	thus	thus	ADV
ejpam-5957	565	2	,	,	PUNCT
ejpam-5957	565	3	we	we	PRON
ejpam-5957	565	4	obtain	obtain	VERB
ejpam-5957	565	5	(	(	PUNCT
ejpam-5957	565	6	76	76	NUM
ejpam-5957	565	7	)	)	PUNCT
ejpam-5957	565	8	.	.	PUNCT
ejpam-5957	566	1	moreover	moreover	ADV
ejpam-5957	566	2	,	,	PUNCT
ejpam-5957	566	3	we	we	PRON
ejpam-5957	566	4	will	will	AUX
ejpam-5957	566	5	prove	prove	VERB
ejpam-5957	566	6	(	(	PUNCT
ejpam-5957	566	7	77	77	NUM
ejpam-5957	566	8	)	)	PUNCT
ejpam-5957	566	9	analogously	analogously	ADV
ejpam-5957	566	10	.	.	PUNCT
ejpam-5957	567	1	by	by	ADP
ejpam-5957	567	2	using	use	VERB
ejpam-5957	567	3	(	(	PUNCT
ejpam-5957	567	4	68	68	NUM
ejpam-5957	567	5	)	)	PUNCT
ejpam-5957	567	6	we	we	PRON
ejpam-5957	567	7	obtain	obtain	VERB
ejpam-5957	567	8	∂	∂	NUM
ejpam-5957	567	9	∂z	∂z	PROPN
ejpam-5957	567	10	1	1	NUM
ejpam-5957	567	11	(	(	PUNCT
ejpam-5957	567	12	n+	n+	NUM
ejpam-5957	567	13	j)j	j)j	PROPN
ejpam-5957	567	14	hf	hf	PROPN
ejpam-5957	567	15	(	(	PUNCT
ejpam-5957	567	16	j	j	NOUN
ejpam-5957	567	17	)	)	PUNCT
ejpam-5957	567	18	n+j(x	n+j(x	NOUN
ejpam-5957	567	19	,	,	PUNCT
ejpam-5957	567	20	y	y	NOUN
ejpam-5957	567	21	;	;	PUNCT
ejpam-5957	567	22	z	z	X
ejpam-5957	567	23	)	)	PUNCT
ejpam-5957	567	24	=	=	SYM
ejpam-5957	567	25	hf	hf	X
ejpam-5957	567	26	(	(	PUNCT
ejpam-5957	567	27	j	j	NOUN
ejpam-5957	567	28	)	)	PUNCT
ejpam-5957	567	29	n	n	PROPN
ejpam-5957	567	30	(	(	PUNCT
ejpam-5957	567	31	x	x	X
ejpam-5957	567	32	,	,	PUNCT
ejpam-5957	567	33	y	y	PROPN
ejpam-5957	567	34	;	;	PUNCT
ejpam-5957	567	35	z	z	NOUN
ejpam-5957	567	36	)	)	PUNCT
ejpam-5957	567	37	.	.	PUNCT
ejpam-5957	568	1	(	(	PUNCT
ejpam-5957	568	2	79	79	X
ejpam-5957	568	3	)	)	PUNCT
ejpam-5957	568	4	integrating	integrate	VERB
ejpam-5957	568	5	both	both	DET
ejpam-5957	568	6	sides	side	NOUN
ejpam-5957	568	7	of	of	ADP
ejpam-5957	568	8	(	(	PUNCT
ejpam-5957	568	9	79	79	NUM
ejpam-5957	568	10	)	)	PUNCT
ejpam-5957	568	11	with	with	ADP
ejpam-5957	568	12	respect	respect	NOUN
ejpam-5957	568	13	to	to	ADP
ejpam-5957	568	14	z	z	PROPN
ejpam-5957	568	15	gives	give	VERB
ejpam-5957	568	16	1	1	NUM
ejpam-5957	568	17	(	(	PUNCT
ejpam-5957	568	18	n+	n+	X
ejpam-5957	568	19	j)j	j)j	PROPN
ejpam-5957	568	20	hf	hf	PROPN
ejpam-5957	568	21	(	(	PUNCT
ejpam-5957	568	22	j	j	NOUN
ejpam-5957	568	23	)	)	PUNCT
ejpam-5957	568	24	n+j(x	n+j(x	NOUN
ejpam-5957	568	25	,	,	PUNCT
ejpam-5957	568	26	y	y	NOUN
ejpam-5957	568	27	;	;	PUNCT
ejpam-5957	568	28	z	z	X
ejpam-5957	568	29	)	)	PUNCT
ejpam-5957	569	1	=	=	SYM
ejpam-5957	569	2	∫	∫	PROPN
ejpam-5957	569	3	hf	hf	PROPN
ejpam-5957	569	4	(	(	PUNCT
ejpam-5957	569	5	j	j	PROPN
ejpam-5957	569	6	)	)	PUNCT
ejpam-5957	569	7	n	n	PROPN
ejpam-5957	569	8	(	(	PUNCT
ejpam-5957	569	9	x	x	X
ejpam-5957	569	10	,	,	PUNCT
ejpam-5957	569	11	y	y	PROPN
ejpam-5957	569	12	;	;	PUNCT
ejpam-5957	569	13	z)dz	z)dz	PROPN
ejpam-5957	569	14	.	.	PUNCT
ejpam-5957	570	1	the	the	DET
ejpam-5957	570	2	next	next	ADJ
ejpam-5957	570	3	theorem	theorem	NOUN
ejpam-5957	570	4	will	will	AUX
ejpam-5957	570	5	derive	derive	VERB
ejpam-5957	570	6	the	the	DET
ejpam-5957	570	7	implicit	implicit	ADJ
ejpam-5957	570	8	formula	formula	NOUN
ejpam-5957	570	9	for	for	ADP
ejpam-5957	570	10	gould	gould	NOUN
ejpam-5957	570	11	-	-	PUNCT
ejpam-5957	570	12	hopper	hopper	NOUN
ejpam-5957	570	13	-	-	PUNCT
ejpam-5957	570	14	based	base	VERB
ejpam-5957	570	15	bivariate	bivariate	ADJ
ejpam-5957	570	16	fubini	fubini	ADJ
ejpam-5957	570	17	polynomials	polynomial	NOUN
ejpam-5957	570	18	.	.	PUNCT
ejpam-5957	571	1	theorem	theorem	ADJ
ejpam-5957	571	2	20	20	NUM
ejpam-5957	571	3	.	.	PUNCT
ejpam-5957	572	1	for	for	ADP
ejpam-5957	572	2	n	n	PRON
ejpam-5957	572	3	≥	≥	NOUN
ejpam-5957	572	4	0	0	NUM
ejpam-5957	572	5	,	,	PUNCT
ejpam-5957	572	6	the	the	DET
ejpam-5957	572	7	following	follow	VERB
ejpam-5957	572	8	implicit	implicit	ADJ
ejpam-5957	572	9	summation	summation	NOUN
ejpam-5957	572	10	formula	formula	NOUN
ejpam-5957	572	11	for	for	ADP
ejpam-5957	572	12	gould	gould	PROPN
ejpam-5957	572	13	-	-	PUNCT
ejpam-5957	572	14	hopperbased	hopperbase	VERB
ejpam-5957	572	15	bivariate	bivariate	ADJ
ejpam-5957	572	16	fubini	fubini	ADJ
ejpam-5957	572	17	polynomials	polynomial	NOUN
ejpam-5957	572	18	holds	hold	VERB
ejpam-5957	572	19	:	:	PUNCT
ejpam-5957	572	20	hf	hf	PROPN
ejpam-5957	572	21	(	(	PUNCT
ejpam-5957	572	22	j	j	NOUN
ejpam-5957	572	23	)	)	PUNCT
ejpam-5957	572	24	q+l(w	q+l(w	NOUN
ejpam-5957	572	25	,	,	PUNCT
ejpam-5957	572	26	y	y	NOUN
ejpam-5957	572	27	;	;	PUNCT
ejpam-5957	572	28	z	z	X
ejpam-5957	572	29	)	)	PUNCT
ejpam-5957	572	30	=	=	SYM
ejpam-5957	573	1	q	q	X
ejpam-5957	573	2	,	,	PUNCT
ejpam-5957	573	3	l∑	l∑	PROPN
ejpam-5957	574	1	p	p	X
ejpam-5957	574	2	,	,	PUNCT
ejpam-5957	574	3	r=0	r=0	PROPN
ejpam-5957	574	4	(	(	PUNCT
ejpam-5957	574	5	q	q	NOUN
ejpam-5957	574	6	p	p	NOUN
ejpam-5957	574	7	)	)	PUNCT
ejpam-5957	574	8	(	(	PUNCT
ejpam-5957	574	9	l	l	NOUN
ejpam-5957	574	10	r	r	NOUN
ejpam-5957	574	11	)	)	PUNCT
ejpam-5957	574	12	(	(	PUNCT
ejpam-5957	575	1	w	w	NOUN
ejpam-5957	575	2	−	−	PROPN
ejpam-5957	575	3	x)p+r	x)p+r	PROPN
ejpam-5957	576	1	hf	hf	PROPN
ejpam-5957	576	2	(	(	PUNCT
ejpam-5957	576	3	j	j	NOUN
ejpam-5957	576	4	)	)	PUNCT
ejpam-5957	576	5	q+l−p−r(x	q+l−p−r(x	NOUN
ejpam-5957	576	6	,	,	PUNCT
ejpam-5957	576	7	y	y	PROPN
ejpam-5957	576	8	;	;	PUNCT
ejpam-5957	576	9	z	z	NOUN
ejpam-5957	576	10	)	)	PUNCT
ejpam-5957	576	11	.	.	PUNCT
ejpam-5957	577	1	(	(	PUNCT
ejpam-5957	577	2	80	80	NUM
ejpam-5957	577	3	)	)	PUNCT
ejpam-5957	577	4	proof	proof	NOUN
ejpam-5957	577	5	.	.	PUNCT
ejpam-5957	578	1	replacing	replace	VERB
ejpam-5957	578	2	t	t	NOUN
ejpam-5957	578	3	by	by	ADP
ejpam-5957	578	4	t+	t+	VERB
ejpam-5957	578	5	u	u	NOUN
ejpam-5957	578	6	in	in	ADP
ejpam-5957	578	7	definition	definition	NOUN
ejpam-5957	578	8	6	6	NUM
ejpam-5957	578	9	,	,	PUNCT
ejpam-5957	578	10	we	we	PRON
ejpam-5957	578	11	have	have	VERB
ejpam-5957	578	12	∞∑	∞∑	NUM
ejpam-5957	578	13	n=0	n=0	NUM
ejpam-5957	578	14	hf	hf	NOUN
ejpam-5957	578	15	(	(	PUNCT
ejpam-5957	578	16	j	j	NOUN
ejpam-5957	578	17	)	)	PUNCT
ejpam-5957	578	18	n	n	PROPN
ejpam-5957	578	19	(	(	PUNCT
ejpam-5957	578	20	x	x	X
ejpam-5957	578	21	,	,	PUNCT
ejpam-5957	578	22	y	y	PROPN
ejpam-5957	578	23	;	;	PUNCT
ejpam-5957	578	24	z	z	X
ejpam-5957	578	25	)	)	PUNCT
ejpam-5957	578	26	(	(	PUNCT
ejpam-5957	578	27	t+	t+	NOUN
ejpam-5957	578	28	u)n	u)n	NOUN
ejpam-5957	578	29	n	n	X
ejpam-5957	578	30	!	!	PUNCT
ejpam-5957	579	1	=	=	PRON
ejpam-5957	579	2	ex(t+u)+z(t+u)j	ex(t+u)+z(t+u)j	NOUN
ejpam-5957	579	3	1−	1−	NUM
ejpam-5957	579	4	y(et+u	y(et+u	NOUN
ejpam-5957	579	5	−	−	PROPN
ejpam-5957	579	6	1	1	NUM
ejpam-5957	579	7	)	)	PUNCT
ejpam-5957	579	8	.	.	PUNCT
ejpam-5957	580	1	(	(	PUNCT
ejpam-5957	580	2	81	81	NUM
ejpam-5957	580	3	)	)	PUNCT
ejpam-5957	580	4	applying	apply	VERB
ejpam-5957	580	5	theorem	theorem	NOUN
ejpam-5957	580	6	2	2	NUM
ejpam-5957	580	7	to	to	ADP
ejpam-5957	580	8	the	the	DET
ejpam-5957	580	9	left	left	ADJ
ejpam-5957	580	10	-	-	PUNCT
ejpam-5957	580	11	hand	hand	NOUN
ejpam-5957	580	12	side	side	NOUN
ejpam-5957	580	13	of	of	ADP
ejpam-5957	580	14	equation	equation	NOUN
ejpam-5957	580	15	(	(	PUNCT
ejpam-5957	580	16	81	81	NUM
ejpam-5957	580	17	)	)	PUNCT
ejpam-5957	580	18	,	,	PUNCT
ejpam-5957	580	19	we	we	PRON
ejpam-5957	580	20	get	get	VERB
ejpam-5957	580	21	∞∑	∞∑	NUM
ejpam-5957	580	22	n=0	n=0	NUM
ejpam-5957	580	23	hf	hf	NOUN
ejpam-5957	580	24	(	(	PUNCT
ejpam-5957	580	25	j	j	NOUN
ejpam-5957	580	26	)	)	PUNCT
ejpam-5957	580	27	n	n	PROPN
ejpam-5957	580	28	(	(	PUNCT
ejpam-5957	580	29	x	x	X
ejpam-5957	580	30	,	,	PUNCT
ejpam-5957	580	31	y	y	PROPN
ejpam-5957	580	32	;	;	PUNCT
ejpam-5957	580	33	z	z	X
ejpam-5957	580	34	)	)	PUNCT
ejpam-5957	580	35	(	(	PUNCT
ejpam-5957	580	36	t+	t+	NOUN
ejpam-5957	580	37	u)n	u)n	NOUN
ejpam-5957	580	38	n	n	CCONJ
ejpam-5957	580	39	!	!	PUNCT
ejpam-5957	580	40	=	=	NOUN
ejpam-5957	581	1	∞∑	∞∑	NUM
ejpam-5957	581	2	q	q	X
ejpam-5957	581	3	,	,	PUNCT
ejpam-5957	581	4	l=0	l=0	PROPN
ejpam-5957	581	5	hf	hf	NOUN
ejpam-5957	581	6	(	(	PUNCT
ejpam-5957	581	7	j	j	PROPN
ejpam-5957	581	8	)	)	PUNCT
ejpam-5957	581	9	q+l(x	q+l(x	PROPN
ejpam-5957	581	10	,	,	PUNCT
ejpam-5957	581	11	y	y	PROPN
ejpam-5957	581	12	;	;	PUNCT
ejpam-5957	581	13	z	z	X
ejpam-5957	581	14	)	)	PUNCT
ejpam-5957	581	15	tq	tq	ADP
ejpam-5957	581	16	q	q	NOUN
ejpam-5957	581	17	!	!	PUNCT
ejpam-5957	581	18	ul	ul	PROPN
ejpam-5957	581	19	l	l	NOUN
ejpam-5957	581	20	!	!	PUNCT
ejpam-5957	581	21	.	.	PUNCT
ejpam-5957	582	1	(	(	PUNCT
ejpam-5957	582	2	82	82	NUM
ejpam-5957	582	3	)	)	PUNCT
ejpam-5957	582	4	then	then	ADV
ejpam-5957	582	5	,	,	PUNCT
ejpam-5957	582	6	equating	equate	VERB
ejpam-5957	582	7	(	(	PUNCT
ejpam-5957	582	8	81	81	NUM
ejpam-5957	582	9	)	)	PUNCT
ejpam-5957	582	10	and	and	CCONJ
ejpam-5957	582	11	(	(	PUNCT
ejpam-5957	582	12	82	82	NUM
ejpam-5957	582	13	)	)	PUNCT
ejpam-5957	582	14	gives	give	VERB
ejpam-5957	582	15	∞∑	∞∑	NUM
ejpam-5957	582	16	q	q	ADJ
ejpam-5957	582	17	,	,	PUNCT
ejpam-5957	582	18	l=0	l=0	PROPN
ejpam-5957	582	19	hf	hf	NOUN
ejpam-5957	582	20	(	(	PUNCT
ejpam-5957	582	21	j	j	PROPN
ejpam-5957	582	22	)	)	PUNCT
ejpam-5957	582	23	q+l(x	q+l(x	PROPN
ejpam-5957	582	24	,	,	PUNCT
ejpam-5957	582	25	y	y	PROPN
ejpam-5957	582	26	;	;	PUNCT
ejpam-5957	582	27	z	z	X
ejpam-5957	582	28	)	)	PUNCT
ejpam-5957	582	29	tq	tq	ADP
ejpam-5957	582	30	q	q	NOUN
ejpam-5957	582	31	!	!	PUNCT
ejpam-5957	582	32	ul	ul	INTJ
ejpam-5957	582	33	l	l	NOUN
ejpam-5957	582	34	!	!	PUNCT
ejpam-5957	583	1	=	=	PRON
ejpam-5957	583	2	ex(t+u)+z(t+u)j	ex(t+u)+z(t+u)j	NOUN
ejpam-5957	583	3	1−	1−	NUM
ejpam-5957	583	4	y(et+u	y(et+u	NOUN
ejpam-5957	583	5	−	−	PROPN
ejpam-5957	583	6	1	1	NUM
ejpam-5957	583	7	)	)	PUNCT
ejpam-5957	583	8	.	.	PUNCT
ejpam-5957	584	1	(	(	PUNCT
ejpam-5957	584	2	83	83	NUM
ejpam-5957	584	3	)	)	PUNCT
ejpam-5957	584	4	r.	r.	PROPN
ejpam-5957	584	5	g.	g.	PROPN
ejpam-5957	584	6	bago	bago	PROPN
ejpam-5957	584	7	,	,	PUNCT
ejpam-5957	584	8	n.	n.	PROPN
ejpam-5957	584	9	s.	s.	PROPN
ejpam-5957	584	10	abdulcarim	abdulcarim	PROPN
ejpam-5957	584	11	/	/	SYM
ejpam-5957	584	12	eur	eur	PROPN
ejpam-5957	584	13	.	.	PUNCT
ejpam-5957	585	1	j.	j.	PROPN
ejpam-5957	585	2	pure	pure	PROPN
ejpam-5957	585	3	appl	appl	PROPN
ejpam-5957	585	4	.	.	PROPN
ejpam-5957	585	5	math	math	PROPN
ejpam-5957	585	6	,	,	PUNCT
ejpam-5957	585	7	18	18	NUM
ejpam-5957	585	8	(	(	PUNCT
ejpam-5957	585	9	2	2	NUM
ejpam-5957	585	10	)	)	PUNCT
ejpam-5957	585	11	(	(	PUNCT
ejpam-5957	585	12	2025	2025	NUM
ejpam-5957	585	13	)	)	PUNCT
ejpam-5957	585	14	,	,	PUNCT
ejpam-5957	585	15	5957	5957	NUM
ejpam-5957	585	16	23	23	NUM
ejpam-5957	585	17	of	of	ADP
ejpam-5957	585	18	25	25	NUM
ejpam-5957	585	19	multiplying	multiply	VERB
ejpam-5957	585	20	both	both	DET
ejpam-5957	585	21	sides	side	NOUN
ejpam-5957	585	22	of	of	ADP
ejpam-5957	585	23	equation	equation	NOUN
ejpam-5957	585	24	(	(	PUNCT
ejpam-5957	585	25	83	83	NUM
ejpam-5957	585	26	)	)	PUNCT
ejpam-5957	585	27	by	by	ADP
ejpam-5957	585	28	1	1	NUM
ejpam-5957	585	29	ex(t+u	ex(t+u	NOUN
ejpam-5957	585	30	)	)	PUNCT
ejpam-5957	585	31	,	,	PUNCT
ejpam-5957	585	32	we	we	PRON
ejpam-5957	585	33	have	have	VERB
ejpam-5957	585	34	e−x(t+u	e−x(t+u	PROPN
ejpam-5957	585	35	)	)	PUNCT
ejpam-5957	586	1	∞∑	∞∑	NUM
ejpam-5957	586	2	q	q	X
ejpam-5957	586	3	,	,	PUNCT
ejpam-5957	586	4	l=0	l=0	PROPN
ejpam-5957	586	5	hf	hf	NOUN
ejpam-5957	586	6	(	(	PUNCT
ejpam-5957	586	7	j	j	PROPN
ejpam-5957	586	8	)	)	PUNCT
ejpam-5957	586	9	q+l(x	q+l(x	PROPN
ejpam-5957	586	10	,	,	PUNCT
ejpam-5957	586	11	y	y	PROPN
ejpam-5957	586	12	;	;	PUNCT
ejpam-5957	586	13	z	z	X
ejpam-5957	586	14	)	)	PUNCT
ejpam-5957	586	15	tq	tq	ADP
ejpam-5957	586	16	q	q	NOUN
ejpam-5957	586	17	!	!	PUNCT
ejpam-5957	586	18	ul	ul	INTJ
ejpam-5957	586	19	l	l	NOUN
ejpam-5957	586	20	!	!	PUNCT
ejpam-5957	587	1	=	=	NOUN
ejpam-5957	588	1	ez(t+u)j	ez(t+u)j	PROPN
ejpam-5957	588	2	1−	1−	NUM
ejpam-5957	589	1	y(et+u	y(et+u	NOUN
ejpam-5957	589	2	−	−	PROPN
ejpam-5957	589	3	1	1	NUM
ejpam-5957	589	4	)	)	PUNCT
ejpam-5957	589	5	.	.	PUNCT
ejpam-5957	590	1	(	(	PUNCT
ejpam-5957	590	2	84	84	NUM
ejpam-5957	590	3	)	)	PUNCT
ejpam-5957	590	4	replacing	replace	VERB
ejpam-5957	590	5	x	x	PUNCT
ejpam-5957	590	6	by	by	ADP
ejpam-5957	590	7	w	w	NOUN
ejpam-5957	590	8	in	in	ADP
ejpam-5957	590	9	equation	equation	NOUN
ejpam-5957	590	10	(	(	PUNCT
ejpam-5957	590	11	84	84	NUM
ejpam-5957	590	12	)	)	PUNCT
ejpam-5957	590	13	,	,	PUNCT
ejpam-5957	590	14	we	we	PRON
ejpam-5957	590	15	get	get	VERB
ejpam-5957	590	16	e−w(t+u	e−w(t+u	X
ejpam-5957	590	17	)	)	PUNCT
ejpam-5957	591	1	∞∑	∞∑	NUM
ejpam-5957	591	2	q	q	NOUN
ejpam-5957	591	3	,	,	PUNCT
ejpam-5957	591	4	l=0	l=0	PROPN
ejpam-5957	591	5	hf	hf	NOUN
ejpam-5957	591	6	(	(	PUNCT
ejpam-5957	591	7	j	j	NOUN
ejpam-5957	591	8	)	)	PUNCT
ejpam-5957	591	9	q+l(w	q+l(w	NOUN
ejpam-5957	591	10	,	,	PUNCT
ejpam-5957	591	11	y	y	NOUN
ejpam-5957	591	12	;	;	PUNCT
ejpam-5957	591	13	z	z	X
ejpam-5957	591	14	)	)	PUNCT
ejpam-5957	591	15	tq	tq	ADP
ejpam-5957	591	16	q	q	NOUN
ejpam-5957	591	17	!	!	PUNCT
ejpam-5957	591	18	ul	ul	INTJ
ejpam-5957	591	19	l	l	NOUN
ejpam-5957	591	20	!	!	PUNCT
ejpam-5957	592	1	=	=	NOUN
ejpam-5957	593	1	ez(t+u)j	ez(t+u)j	PROPN
ejpam-5957	593	2	1−	1−	NUM
ejpam-5957	594	1	y(et+u	y(et+u	NOUN
ejpam-5957	594	2	−	−	PROPN
ejpam-5957	594	3	1	1	NUM
ejpam-5957	594	4	)	)	PUNCT
ejpam-5957	594	5	.	.	PUNCT
ejpam-5957	595	1	(	(	PUNCT
ejpam-5957	595	2	85	85	NUM
ejpam-5957	595	3	)	)	PUNCT
ejpam-5957	595	4	hence	hence	ADV
ejpam-5957	595	5	,	,	PUNCT
ejpam-5957	595	6	equating	equate	VERB
ejpam-5957	595	7	(	(	PUNCT
ejpam-5957	595	8	84	84	NUM
ejpam-5957	595	9	)	)	PUNCT
ejpam-5957	595	10	and	and	CCONJ
ejpam-5957	595	11	(	(	PUNCT
ejpam-5957	595	12	85	85	NUM
ejpam-5957	595	13	)	)	PUNCT
ejpam-5957	595	14	and	and	CCONJ
ejpam-5957	595	15	multiplying	multiply	VERB
ejpam-5957	595	16	both	both	DET
ejpam-5957	595	17	sides	side	NOUN
ejpam-5957	595	18	by	by	ADP
ejpam-5957	595	19	1	1	NUM
ejpam-5957	595	20	e−w(t+u	e−w(t+u	NOUN
ejpam-5957	595	21	)	)	PUNCT
ejpam-5957	595	22	we	we	PRON
ejpam-5957	595	23	have	have	VERB
ejpam-5957	595	24	e−x(t+u	e−x(t+u	PROPN
ejpam-5957	595	25	)	)	PUNCT
ejpam-5957	596	1	∞∑	∞∑	NUM
ejpam-5957	596	2	q	q	X
ejpam-5957	596	3	,	,	PUNCT
ejpam-5957	596	4	l=0	l=0	PROPN
ejpam-5957	596	5	hf	hf	NOUN
ejpam-5957	596	6	(	(	PUNCT
ejpam-5957	596	7	j	j	PROPN
ejpam-5957	596	8	)	)	PUNCT
ejpam-5957	596	9	q+l(x	q+l(x	PROPN
ejpam-5957	596	10	,	,	PUNCT
ejpam-5957	596	11	y	y	PROPN
ejpam-5957	596	12	;	;	PUNCT
ejpam-5957	596	13	z	z	X
ejpam-5957	596	14	)	)	PUNCT
ejpam-5957	596	15	tq	tq	ADP
ejpam-5957	596	16	q	q	NOUN
ejpam-5957	596	17	!	!	PUNCT
ejpam-5957	596	18	ul	ul	PROPN
ejpam-5957	596	19	l	l	NOUN
ejpam-5957	596	20	!	!	PUNCT
ejpam-5957	596	21	=	=	SYM
ejpam-5957	596	22	e−w(t+u	e−w(t+u	X
ejpam-5957	596	23	)	)	PUNCT
ejpam-5957	597	1	∞∑	∞∑	NUM
ejpam-5957	597	2	q	q	NOUN
ejpam-5957	597	3	,	,	PUNCT
ejpam-5957	597	4	l=0	l=0	PROPN
ejpam-5957	597	5	hf	hf	NOUN
ejpam-5957	597	6	(	(	PUNCT
ejpam-5957	597	7	j	j	NOUN
ejpam-5957	597	8	)	)	PUNCT
ejpam-5957	597	9	q+l(w	q+l(w	NOUN
ejpam-5957	597	10	,	,	PUNCT
ejpam-5957	597	11	y	y	NOUN
ejpam-5957	597	12	;	;	PUNCT
ejpam-5957	597	13	z	z	X
ejpam-5957	597	14	)	)	PUNCT
ejpam-5957	597	15	tq	tq	ADP
ejpam-5957	597	16	q	q	NOUN
ejpam-5957	597	17	!	!	PUNCT
ejpam-5957	597	18	ul	ul	PROPN
ejpam-5957	598	1	l	l	NOUN
ejpam-5957	598	2	!	!	PUNCT
ejpam-5957	599	1	e−x(t+u)ew(t+u	e−x(t+u)ew(t+u	NOUN
ejpam-5957	599	2	)	)	PUNCT
ejpam-5957	600	1	∞∑	∞∑	NUM
ejpam-5957	600	2	q	q	NOUN
ejpam-5957	600	3	,	,	PUNCT
ejpam-5957	600	4	l=0	l=0	PROPN
ejpam-5957	600	5	hf	hf	NOUN
ejpam-5957	600	6	(	(	PUNCT
ejpam-5957	600	7	j	j	PROPN
ejpam-5957	600	8	)	)	PUNCT
ejpam-5957	600	9	q+l(x	q+l(x	PROPN
ejpam-5957	600	10	,	,	PUNCT
ejpam-5957	600	11	y	y	PROPN
ejpam-5957	600	12	;	;	PUNCT
ejpam-5957	600	13	z	z	X
ejpam-5957	600	14	)	)	PUNCT
ejpam-5957	600	15	tq	tq	ADP
ejpam-5957	600	16	q	q	NOUN
ejpam-5957	600	17	!	!	PUNCT
ejpam-5957	600	18	ul	ul	INTJ
ejpam-5957	600	19	l	l	NOUN
ejpam-5957	600	20	!	!	PUNCT
ejpam-5957	601	1	=	=	PUNCT
ejpam-5957	602	1	∞∑	∞∑	NUM
ejpam-5957	602	2	q	q	X
ejpam-5957	602	3	,	,	PUNCT
ejpam-5957	602	4	l=0	l=0	PROPN
ejpam-5957	602	5	hf	hf	NOUN
ejpam-5957	602	6	(	(	PUNCT
ejpam-5957	602	7	j	j	NOUN
ejpam-5957	602	8	)	)	PUNCT
ejpam-5957	602	9	q+l(w	q+l(w	NOUN
ejpam-5957	602	10	,	,	PUNCT
ejpam-5957	602	11	y	y	NOUN
ejpam-5957	602	12	;	;	PUNCT
ejpam-5957	602	13	z	z	X
ejpam-5957	602	14	)	)	PUNCT
ejpam-5957	602	15	tq	tq	ADP
ejpam-5957	602	16	q	q	NOUN
ejpam-5957	602	17	!	!	PUNCT
ejpam-5957	602	18	ul	ul	PROPN
ejpam-5957	603	1	l	l	NOUN
ejpam-5957	603	2	!	!	PUNCT
ejpam-5957	603	3	e−x(t+u)+w(t+u	e−x(t+u)+w(t+u	X
ejpam-5957	603	4	)	)	PUNCT
ejpam-5957	604	1	∞∑	∞∑	PRON
ejpam-5957	604	2	q	q	X
ejpam-5957	604	3	,	,	PUNCT
ejpam-5957	604	4	l=0	l=0	PROPN
ejpam-5957	604	5	hf	hf	NOUN
ejpam-5957	604	6	(	(	PUNCT
ejpam-5957	604	7	j	j	PROPN
ejpam-5957	604	8	)	)	PUNCT
ejpam-5957	604	9	q+l(x	q+l(x	PROPN
ejpam-5957	604	10	,	,	PUNCT
ejpam-5957	604	11	y	y	PROPN
ejpam-5957	604	12	;	;	PUNCT
ejpam-5957	604	13	z	z	X
ejpam-5957	604	14	)	)	PUNCT
ejpam-5957	604	15	tq	tq	ADP
ejpam-5957	604	16	q	q	NOUN
ejpam-5957	604	17	!	!	PUNCT
ejpam-5957	604	18	ul	ul	INTJ
ejpam-5957	604	19	l	l	NOUN
ejpam-5957	604	20	!	!	PUNCT
ejpam-5957	605	1	=	=	PUNCT
ejpam-5957	606	1	∞∑	∞∑	NUM
ejpam-5957	606	2	q	q	X
ejpam-5957	606	3	,	,	PUNCT
ejpam-5957	606	4	l=0	l=0	PROPN
ejpam-5957	606	5	hf	hf	NOUN
ejpam-5957	606	6	(	(	PUNCT
ejpam-5957	606	7	j	j	NOUN
ejpam-5957	606	8	)	)	PUNCT
ejpam-5957	606	9	q+l(w	q+l(w	NOUN
ejpam-5957	606	10	,	,	PUNCT
ejpam-5957	606	11	y	y	NOUN
ejpam-5957	606	12	;	;	PUNCT
ejpam-5957	606	13	z	z	X
ejpam-5957	606	14	)	)	PUNCT
ejpam-5957	606	15	tq	tq	ADP
ejpam-5957	606	16	q	q	NOUN
ejpam-5957	606	17	!	!	PUNCT
ejpam-5957	606	18	ul	ul	INTJ
ejpam-5957	607	1	l	l	NOUN
ejpam-5957	607	2	!	!	PUNCT
ejpam-5957	608	1	e(w−x)(t+u	e(w−x)(t+u	ADJ
ejpam-5957	608	2	)	)	PUNCT
ejpam-5957	609	1	∞∑	∞∑	PROPN
ejpam-5957	609	2	q	q	NOUN
ejpam-5957	609	3	,	,	PUNCT
ejpam-5957	609	4	l=0	l=0	PROPN
ejpam-5957	609	5	hf	hf	NOUN
ejpam-5957	609	6	(	(	PUNCT
ejpam-5957	609	7	j	j	PROPN
ejpam-5957	609	8	)	)	PUNCT
ejpam-5957	609	9	q+l(x	q+l(x	PROPN
ejpam-5957	609	10	,	,	PUNCT
ejpam-5957	609	11	y	y	PROPN
ejpam-5957	609	12	;	;	PUNCT
ejpam-5957	609	13	z	z	X
ejpam-5957	609	14	)	)	PUNCT
ejpam-5957	609	15	tq	tq	ADP
ejpam-5957	609	16	q	q	NOUN
ejpam-5957	609	17	!	!	PUNCT
ejpam-5957	609	18	ul	ul	INTJ
ejpam-5957	609	19	l	l	NOUN
ejpam-5957	609	20	!	!	PUNCT
ejpam-5957	610	1	=	=	PUNCT
ejpam-5957	611	1	∞∑	∞∑	NUM
ejpam-5957	611	2	q	q	X
ejpam-5957	611	3	,	,	PUNCT
ejpam-5957	611	4	l=0	l=0	PROPN
ejpam-5957	611	5	hf	hf	NOUN
ejpam-5957	611	6	(	(	PUNCT
ejpam-5957	611	7	j	j	NOUN
ejpam-5957	611	8	)	)	PUNCT
ejpam-5957	611	9	q+l(w	q+l(w	NOUN
ejpam-5957	611	10	,	,	PUNCT
ejpam-5957	611	11	y	y	NOUN
ejpam-5957	611	12	;	;	PUNCT
ejpam-5957	611	13	z	z	X
ejpam-5957	611	14	)	)	PUNCT
ejpam-5957	611	15	tq	tq	ADP
ejpam-5957	611	16	q	q	NOUN
ejpam-5957	611	17	!	!	PUNCT
ejpam-5957	611	18	ul	ul	PROPN
ejpam-5957	611	19	l	l	NOUN
ejpam-5957	611	20	!	!	PUNCT
ejpam-5957	611	21	.	.	PUNCT
ejpam-5957	612	1	(	(	PUNCT
ejpam-5957	612	2	86	86	NUM
ejpam-5957	612	3	)	)	PUNCT
ejpam-5957	612	4	note	note	VERB
ejpam-5957	612	5	that	that	SCONJ
ejpam-5957	612	6	,	,	PUNCT
ejpam-5957	612	7	expressing	express	VERB
ejpam-5957	612	8	e(w−x)(t+u	e(w−x)(t+u	NOUN
ejpam-5957	612	9	)	)	PUNCT
ejpam-5957	612	10	in	in	ADP
ejpam-5957	612	11	its	its	PRON
ejpam-5957	612	12	exponential	exponential	ADJ
ejpam-5957	612	13	form	form	NOUN
ejpam-5957	612	14	and	and	CCONJ
ejpam-5957	612	15	applying	apply	VERB
ejpam-5957	612	16	theorem	theorem	NOUN
ejpam-5957	612	17	2	2	NUM
ejpam-5957	612	18	gives	give	VERB
ejpam-5957	612	19	e(w−x)(t+u	e(w−x)(t+u	NOUN
ejpam-5957	612	20	)	)	PUNCT
ejpam-5957	612	21	=	=	PUNCT
ejpam-5957	613	1	∞∑	∞∑	NUM
ejpam-5957	613	2	n=0	n=0	NUM
ejpam-5957	613	3	(	(	PUNCT
ejpam-5957	613	4	w	w	NOUN
ejpam-5957	613	5	−	−	NOUN
ejpam-5957	613	6	x)n	x)n	PUNCT
ejpam-5957	613	7	(	(	PUNCT
ejpam-5957	613	8	t+	t+	NOUN
ejpam-5957	613	9	u)n	u)n	NOUN
ejpam-5957	613	10	n	n	CCONJ
ejpam-5957	613	11	!	!	PUNCT
ejpam-5957	613	12	=	=	NOUN
ejpam-5957	614	1	∞∑	∞∑	NUM
ejpam-5957	614	2	q	q	X
ejpam-5957	614	3	,	,	PUNCT
ejpam-5957	614	4	l=0	l=0	PROPN
ejpam-5957	614	5	(	(	PUNCT
ejpam-5957	614	6	w	w	NOUN
ejpam-5957	614	7	−	−	PROPN
ejpam-5957	614	8	x)q+l	x)q+l	PROPN
ejpam-5957	614	9	t	t	PROPN
ejpam-5957	614	10	q	q	X
ejpam-5957	614	11	q	q	NOUN
ejpam-5957	614	12	!	!	PUNCT
ejpam-5957	614	13	ul	ul	PROPN
ejpam-5957	614	14	l	l	NOUN
ejpam-5957	614	15	!	!	PUNCT
ejpam-5957	614	16	.	.	PUNCT
ejpam-5957	615	1	(	(	PUNCT
ejpam-5957	615	2	87	87	NUM
ejpam-5957	615	3	)	)	PUNCT
ejpam-5957	615	4	now	now	ADV
ejpam-5957	615	5	,	,	PUNCT
ejpam-5957	615	6	substituting	substitute	VERB
ejpam-5957	615	7	(	(	PUNCT
ejpam-5957	615	8	87	87	NUM
ejpam-5957	615	9	)	)	PUNCT
ejpam-5957	615	10	to	to	ADP
ejpam-5957	615	11	(	(	PUNCT
ejpam-5957	615	12	86	86	NUM
ejpam-5957	615	13	)	)	PUNCT
ejpam-5957	615	14	we	we	PRON
ejpam-5957	615	15	find	find	VERB
ejpam-5957	615	16	∞∑	∞∑	PRON
ejpam-5957	615	17	q	q	ADJ
ejpam-5957	615	18	,	,	PUNCT
ejpam-5957	615	19	l=0	l=0	PROPN
ejpam-5957	615	20	(	(	PUNCT
ejpam-5957	615	21	w	w	NOUN
ejpam-5957	615	22	−	−	PROPN
ejpam-5957	615	23	x)q+l	x)q+l	PROPN
ejpam-5957	615	24	t	t	PROPN
ejpam-5957	615	25	q	q	X
ejpam-5957	615	26	q	q	NOUN
ejpam-5957	615	27	!	!	PUNCT
ejpam-5957	615	28	ul	ul	PROPN
ejpam-5957	615	29	l	l	NOUN
ejpam-5957	615	30	!	!	PUNCT
ejpam-5957	616	1	∞∑	∞∑	NUM
ejpam-5957	616	2	q	q	X
ejpam-5957	616	3	,	,	PUNCT
ejpam-5957	616	4	l=0	l=0	PROPN
ejpam-5957	616	5	hf	hf	NOUN
ejpam-5957	616	6	(	(	PUNCT
ejpam-5957	616	7	j	j	PROPN
ejpam-5957	616	8	)	)	PUNCT
ejpam-5957	616	9	q+l(x	q+l(x	PROPN
ejpam-5957	616	10	,	,	PUNCT
ejpam-5957	616	11	y	y	PROPN
ejpam-5957	616	12	;	;	PUNCT
ejpam-5957	616	13	z	z	X
ejpam-5957	616	14	)	)	PUNCT
ejpam-5957	616	15	tq	tq	ADP
ejpam-5957	616	16	q	q	NOUN
ejpam-5957	616	17	!	!	PUNCT
ejpam-5957	616	18	ul	ul	INTJ
ejpam-5957	616	19	l	l	NOUN
ejpam-5957	616	20	!	!	PUNCT
ejpam-5957	617	1	=	=	PUNCT
ejpam-5957	618	1	∞∑	∞∑	NUM
ejpam-5957	618	2	q	q	X
ejpam-5957	618	3	,	,	PUNCT
ejpam-5957	618	4	l=0	l=0	PROPN
ejpam-5957	618	5	hf	hf	NOUN
ejpam-5957	618	6	(	(	PUNCT
ejpam-5957	618	7	j	j	NOUN
ejpam-5957	618	8	)	)	PUNCT
ejpam-5957	618	9	q+l(w	q+l(w	NOUN
ejpam-5957	618	10	,	,	PUNCT
ejpam-5957	618	11	y	y	NOUN
ejpam-5957	618	12	;	;	PUNCT
ejpam-5957	618	13	z	z	X
ejpam-5957	618	14	)	)	PUNCT
ejpam-5957	618	15	tq	tq	ADP
ejpam-5957	618	16	q	q	NOUN
ejpam-5957	618	17	!	!	PUNCT
ejpam-5957	618	18	ul	ul	PROPN
ejpam-5957	618	19	l	l	NOUN
ejpam-5957	618	20	!	!	PUNCT
ejpam-5957	618	21	.	.	PUNCT
ejpam-5957	619	1	(	(	PUNCT
ejpam-5957	619	2	88	88	NUM
ejpam-5957	619	3	)	)	PUNCT
ejpam-5957	619	4	thus	thus	ADV
ejpam-5957	619	5	,	,	PUNCT
ejpam-5957	619	6	applying	apply	VERB
ejpam-5957	619	7	theorem	theorem	NOUN
ejpam-5957	619	8	3	3	NUM
ejpam-5957	619	9	to	to	ADP
ejpam-5957	619	10	the	the	DET
ejpam-5957	619	11	left	left	ADJ
ejpam-5957	619	12	-	-	PUNCT
ejpam-5957	619	13	hand	hand	NOUN
ejpam-5957	619	14	side	side	NOUN
ejpam-5957	619	15	of	of	ADP
ejpam-5957	619	16	equation	equation	NOUN
ejpam-5957	619	17	(	(	PUNCT
ejpam-5957	619	18	88	88	NUM
ejpam-5957	619	19	)	)	PUNCT
ejpam-5957	619	20	we	we	PRON
ejpam-5957	619	21	get	get	VERB
ejpam-5957	619	22	∞∑	∞∑	NUM
ejpam-5957	619	23	q	q	ADJ
ejpam-5957	619	24	,	,	PUNCT
ejpam-5957	619	25	l=0	l=0	PROPN
ejpam-5957	619	26			PROPN
ejpam-5957	620	1	q	q	PROPN
ejpam-5957	620	2	,	,	PUNCT
ejpam-5957	620	3	l∑	l∑	PROPN
ejpam-5957	621	1	p	p	X
ejpam-5957	621	2	,	,	PUNCT
ejpam-5957	621	3	r=0	r=0	PROPN
ejpam-5957	621	4	(	(	PUNCT
ejpam-5957	621	5	q	q	NOUN
ejpam-5957	621	6	p	p	NOUN
ejpam-5957	621	7	)	)	PUNCT
ejpam-5957	621	8	(	(	PUNCT
ejpam-5957	621	9	l	l	NOUN
ejpam-5957	621	10	r	r	NOUN
ejpam-5957	621	11	)	)	PUNCT
ejpam-5957	621	12	(	(	PUNCT
ejpam-5957	622	1	w	w	NOUN
ejpam-5957	622	2	−	−	PROPN
ejpam-5957	622	3	x)p+r	x)p+r	PROPN
ejpam-5957	623	1	hf	hf	PROPN
ejpam-5957	623	2	(	(	PUNCT
ejpam-5957	623	3	j	j	NOUN
ejpam-5957	623	4	)	)	PUNCT
ejpam-5957	623	5	q+l−p−r(x	q+l−p−r(x	NOUN
ejpam-5957	623	6	,	,	PUNCT
ejpam-5957	623	7	y	y	PROPN
ejpam-5957	623	8	;	;	PUNCT
ejpam-5957	623	9	z	z	X
ejpam-5957	623	10	)	)	PUNCT
ejpam-5957	623	11			PROPN
ejpam-5957	623	12	tq	tq	INTJ
ejpam-5957	623	13	q	q	NOUN
ejpam-5957	623	14	!	!	PUNCT
ejpam-5957	623	15	ul	ul	PROPN
ejpam-5957	624	1	l	l	NOUN
ejpam-5957	624	2	!	!	PUNCT
ejpam-5957	624	3	r.	r.	PROPN
ejpam-5957	624	4	g.	g.	PROPN
ejpam-5957	624	5	bago	bago	PROPN
ejpam-5957	624	6	,	,	PUNCT
ejpam-5957	624	7	n.	n.	PROPN
ejpam-5957	624	8	s.	s.	PROPN
ejpam-5957	624	9	abdulcarim	abdulcarim	PROPN
ejpam-5957	624	10	/	/	SYM
ejpam-5957	624	11	eur	eur	PROPN
ejpam-5957	624	12	.	.	PUNCT
ejpam-5957	625	1	j.	j.	PROPN
ejpam-5957	625	2	pure	pure	PROPN
ejpam-5957	625	3	appl	appl	PROPN
ejpam-5957	625	4	.	.	PROPN
ejpam-5957	625	5	math	math	PROPN
ejpam-5957	625	6	,	,	PUNCT
ejpam-5957	625	7	18	18	NUM
ejpam-5957	625	8	(	(	PUNCT
ejpam-5957	625	9	2	2	NUM
ejpam-5957	625	10	)	)	PUNCT
ejpam-5957	625	11	(	(	PUNCT
ejpam-5957	625	12	2025	2025	NUM
ejpam-5957	625	13	)	)	PUNCT
ejpam-5957	625	14	,	,	PUNCT
ejpam-5957	625	15	5957	5957	NUM
ejpam-5957	625	16	24	24	NUM
ejpam-5957	625	17	of	of	ADP
ejpam-5957	625	18	25	25	NUM
ejpam-5957	625	19	=	=	NOUN
ejpam-5957	625	20	∞∑	∞∑	NUM
ejpam-5957	625	21	q	q	NOUN
ejpam-5957	625	22	,	,	PUNCT
ejpam-5957	625	23	l=0	l=0	PROPN
ejpam-5957	625	24	hf	hf	NOUN
ejpam-5957	625	25	(	(	PUNCT
ejpam-5957	625	26	j	j	NOUN
ejpam-5957	625	27	)	)	PUNCT
ejpam-5957	625	28	q+l(w	q+l(w	NOUN
ejpam-5957	625	29	,	,	PUNCT
ejpam-5957	625	30	y	y	NOUN
ejpam-5957	625	31	;	;	PUNCT
ejpam-5957	625	32	z	z	X
ejpam-5957	625	33	)	)	PUNCT
ejpam-5957	625	34	tq	tq	ADP
ejpam-5957	625	35	q	q	NOUN
ejpam-5957	625	36	!	!	PUNCT
ejpam-5957	625	37	ul	ul	PROPN
ejpam-5957	626	1	l	l	NOUN
ejpam-5957	626	2	!	!	PUNCT
ejpam-5957	626	3	.	.	PUNCT
ejpam-5957	627	1	comparing	compare	VERB
ejpam-5957	627	2	the	the	DET
ejpam-5957	627	3	coefficients	coefficient	NOUN
ejpam-5957	627	4	of	of	ADP
ejpam-5957	627	5	tq	tq	ADV
ejpam-5957	627	6	q	q	NOUN
ejpam-5957	627	7	!	!	PUNCT
ejpam-5957	627	8	ul	ul	PROPN
ejpam-5957	628	1	l	l	NOUN
ejpam-5957	628	2	!	!	PUNCT
ejpam-5957	629	1	in	in	ADP
ejpam-5957	629	2	the	the	DET
ejpam-5957	629	3	above	above	ADJ
ejpam-5957	629	4	equation	equation	NOUN
ejpam-5957	629	5	we	we	PRON
ejpam-5957	629	6	get	get	VERB
ejpam-5957	629	7	(	(	PUNCT
ejpam-5957	629	8	80	80	NUM
ejpam-5957	629	9	)	)	PUNCT
ejpam-5957	629	10	.	.	PUNCT
ejpam-5957	630	1	setting	set	VERB
ejpam-5957	630	2	l	l	NOUN
ejpam-5957	630	3	=	=	SYM
ejpam-5957	630	4	0	0	NUM
ejpam-5957	630	5	in	in	ADP
ejpam-5957	630	6	theorem	theorem	NOUN
ejpam-5957	630	7	20	20	NUM
ejpam-5957	630	8	,	,	PUNCT
ejpam-5957	630	9	it	it	PRON
ejpam-5957	630	10	will	will	AUX
ejpam-5957	630	11	deduce	deduce	VERB
ejpam-5957	630	12	to	to	ADP
ejpam-5957	630	13	the	the	DET
ejpam-5957	630	14	following	follow	VERB
ejpam-5957	630	15	corollary	corollary	NOUN
ejpam-5957	630	16	.	.	PUNCT
ejpam-5957	631	1	corollary	corollary	ADJ
ejpam-5957	631	2	7	7	NUM
ejpam-5957	631	3	.	.	PUNCT
ejpam-5957	631	4	for	for	ADP
ejpam-5957	631	5	n	n	PRON
ejpam-5957	631	6	≥	≥	NOUN
ejpam-5957	631	7	0	0	NUM
ejpam-5957	631	8	,	,	PUNCT
ejpam-5957	631	9	the	the	DET
ejpam-5957	631	10	following	follow	VERB
ejpam-5957	631	11	formula	formula	NOUN
ejpam-5957	631	12	for	for	ADP
ejpam-5957	631	13	gould	gould	NOUN
ejpam-5957	631	14	-	-	PUNCT
ejpam-5957	631	15	hopper	hopper	NOUN
ejpam-5957	631	16	-	-	PUNCT
ejpam-5957	631	17	based	base	VERB
ejpam-5957	631	18	bivariate	bivariate	ADJ
ejpam-5957	631	19	fubini	fubini	ADJ
ejpam-5957	631	20	polynomials	polynomial	NOUN
ejpam-5957	631	21	holds	hold	VERB
ejpam-5957	631	22	:	:	PUNCT
ejpam-5957	632	1	hf	hf	PROPN
ejpam-5957	632	2	(	(	PUNCT
ejpam-5957	632	3	j	j	NOUN
ejpam-5957	632	4	)	)	PUNCT
ejpam-5957	632	5	q	q	PROPN
ejpam-5957	633	1	(	(	PUNCT
ejpam-5957	633	2	w	w	PROPN
ejpam-5957	633	3	,	,	PUNCT
ejpam-5957	633	4	y	y	PROPN
ejpam-5957	633	5	;	;	PUNCT
ejpam-5957	633	6	z	z	X
ejpam-5957	633	7	)	)	PUNCT
ejpam-5957	634	1	=	=	SYM
ejpam-5957	634	2	q∑	q∑	PROPN
ejpam-5957	635	1	p=0	p=0	PROPN
ejpam-5957	635	2	(	(	PUNCT
ejpam-5957	635	3	q	q	PROPN
ejpam-5957	635	4	p	p	NOUN
ejpam-5957	635	5	)	)	PUNCT
ejpam-5957	635	6	(	(	PUNCT
ejpam-5957	635	7	w	w	PROPN
ejpam-5957	635	8	−	−	PROPN
ejpam-5957	635	9	x)phf	x)phf	PROPN
ejpam-5957	635	10	(	(	PUNCT
ejpam-5957	635	11	j	j	NOUN
ejpam-5957	635	12	)	)	PUNCT
ejpam-5957	635	13	q−p(x	q−p(x	PROPN
ejpam-5957	635	14	,	,	PUNCT
ejpam-5957	635	15	y	y	PROPN
ejpam-5957	635	16	;	;	PUNCT
ejpam-5957	635	17	z	z	NOUN
ejpam-5957	635	18	)	)	PUNCT
ejpam-5957	635	19	.	.	PUNCT
ejpam-5957	636	1	in	in	ADP
ejpam-5957	636	2	the	the	DET
ejpam-5957	636	3	following	following	NOUN
ejpam-5957	636	4	theorem	theorem	NOUN
ejpam-5957	636	5	,	,	PUNCT
ejpam-5957	636	6	a	a	DET
ejpam-5957	636	7	relationship	relationship	NOUN
ejpam-5957	636	8	of	of	ADP
ejpam-5957	636	9	gould	gould	PROPN
ejpam-5957	636	10	-	-	PUNCT
ejpam-5957	636	11	hopper	hopper	NOUN
ejpam-5957	636	12	-	-	PUNCT
ejpam-5957	636	13	based	base	VERB
ejpam-5957	636	14	bivariate	bivariate	ADJ
ejpam-5957	636	15	fubini	fubini	ADJ
ejpam-5957	636	16	polynomials	polynomial	NOUN
ejpam-5957	636	17	with	with	ADP
ejpam-5957	636	18	gould	gould	PROPN
ejpam-5957	636	19	-	-	PUNCT
ejpam-5957	636	20	hopper	hopper	NOUN
ejpam-5957	636	21	polynomials	polynomial	NOUN
ejpam-5957	636	22	and	and	CCONJ
ejpam-5957	636	23	stirling	stirling	NOUN
ejpam-5957	636	24	number	number	NOUN
ejpam-5957	636	25	of	of	ADP
ejpam-5957	636	26	the	the	DET
ejpam-5957	636	27	second	second	ADJ
ejpam-5957	636	28	kind	kind	NOUN
ejpam-5957	636	29	will	will	AUX
ejpam-5957	636	30	be	be	AUX
ejpam-5957	636	31	introduced	introduce	VERB
ejpam-5957	636	32	.	.	PUNCT
ejpam-5957	637	1	theorem	theorem	NOUN
ejpam-5957	637	2	21	21	NUM
ejpam-5957	637	3	.	.	PUNCT
ejpam-5957	638	1	for	for	ADP
ejpam-5957	638	2	n	n	PRON
ejpam-5957	638	3	≥	≥	NOUN
ejpam-5957	638	4	0	0	NUM
ejpam-5957	638	5	,	,	PUNCT
ejpam-5957	638	6	the	the	DET
ejpam-5957	638	7	following	follow	VERB
ejpam-5957	638	8	relationship	relationship	NOUN
ejpam-5957	638	9	holds	hold	VERB
ejpam-5957	638	10	:	:	PUNCT
ejpam-5957	638	11	hf	hf	PROPN
ejpam-5957	638	12	(	(	PUNCT
ejpam-5957	638	13	j	j	NOUN
ejpam-5957	638	14	)	)	PUNCT
ejpam-5957	638	15	n	n	PROPN
ejpam-5957	638	16	(	(	PUNCT
ejpam-5957	638	17	x	x	X
ejpam-5957	638	18	,	,	PUNCT
ejpam-5957	638	19	y	y	PROPN
ejpam-5957	638	20	;	;	PUNCT
ejpam-5957	638	21	z	z	X
ejpam-5957	638	22	)	)	PUNCT
ejpam-5957	638	23	=	=	SYM
ejpam-5957	639	1	n∑	n∑	PROPN
ejpam-5957	639	2	m=0	m=0	PROPN
ejpam-5957	639	3	(	(	PUNCT
ejpam-5957	639	4	n	n	NOUN
ejpam-5957	639	5	m	m	PROPN
ejpam-5957	639	6	)	)	PUNCT
ejpam-5957	639	7	h	h	NOUN
ejpam-5957	639	8	(	(	PUNCT
ejpam-5957	639	9	j	j	PROPN
ejpam-5957	639	10	)	)	PUNCT
ejpam-5957	639	11	n−m(x	n−m(x	NOUN
ejpam-5957	639	12	,	,	PUNCT
ejpam-5957	639	13	z	z	NOUN
ejpam-5957	639	14	)	)	PUNCT
ejpam-5957	639	15	m∑	m∑	CCONJ
ejpam-5957	639	16	k=0	k=0	PROPN
ejpam-5957	639	17	k!yks(m	k!yks(m	PROPN
ejpam-5957	639	18	,	,	PUNCT
ejpam-5957	639	19	k	k	NOUN
ejpam-5957	639	20	)	)	PUNCT
ejpam-5957	639	21	.	.	PUNCT
ejpam-5957	640	1	(	(	PUNCT
ejpam-5957	640	2	89	89	NUM
ejpam-5957	640	3	)	)	PUNCT
ejpam-5957	640	4	proof	proof	NOUN
ejpam-5957	640	5	.	.	PUNCT
ejpam-5957	641	1	by	by	ADP
ejpam-5957	641	2	definition	definition	NOUN
ejpam-5957	641	3	6	6	NUM
ejpam-5957	641	4	,	,	PUNCT
ejpam-5957	641	5	we	we	PRON
ejpam-5957	641	6	have	have	VERB
ejpam-5957	641	7	∞∑	∞∑	NUM
ejpam-5957	641	8	n=0	n=0	NUM
ejpam-5957	641	9	hf	hf	NOUN
ejpam-5957	641	10	(	(	PUNCT
ejpam-5957	641	11	j	j	NOUN
ejpam-5957	641	12	)	)	PUNCT
ejpam-5957	641	13	n	n	PROPN
ejpam-5957	641	14	(	(	PUNCT
ejpam-5957	641	15	x	x	X
ejpam-5957	641	16	,	,	PUNCT
ejpam-5957	641	17	y	y	PROPN
ejpam-5957	641	18	;	;	PUNCT
ejpam-5957	641	19	z	z	X
ejpam-5957	641	20	)	)	PUNCT
ejpam-5957	641	21	tn	tn	PROPN
ejpam-5957	641	22	n	n	NOUN
ejpam-5957	641	23	!	!	PUNCT
ejpam-5957	642	1	=	=	PUNCT
ejpam-5957	643	1	ext+ztj	ext+ztj	PROPN
ejpam-5957	643	2	1	1	NUM
ejpam-5957	643	3	1−	1−	NUM
ejpam-5957	643	4	y(et	y(et	NOUN
ejpam-5957	643	5	−	−	PROPN
ejpam-5957	643	6	1	1	NUM
ejpam-5957	643	7	)	)	PUNCT
ejpam-5957	643	8	.	.	PUNCT
ejpam-5957	644	1	(	(	PUNCT
ejpam-5957	644	2	90	90	NUM
ejpam-5957	644	3	)	)	PUNCT
ejpam-5957	644	4	then	then	ADV
ejpam-5957	644	5	,	,	PUNCT
ejpam-5957	644	6	applying	apply	VERB
ejpam-5957	644	7	definition	definition	NOUN
ejpam-5957	644	8	5	5	NUM
ejpam-5957	644	9	and	and	CCONJ
ejpam-5957	644	10	theorem	theorem	VERB
ejpam-5957	644	11	5	5	NUM
ejpam-5957	644	12	to	to	ADP
ejpam-5957	644	13	the	the	DET
ejpam-5957	644	14	right	right	ADJ
ejpam-5957	644	15	-	-	PUNCT
ejpam-5957	644	16	hand	hand	NOUN
ejpam-5957	644	17	side	side	NOUN
ejpam-5957	644	18	of	of	ADP
ejpam-5957	644	19	equation	equation	NOUN
ejpam-5957	644	20	(	(	PUNCT
ejpam-5957	644	21	90	90	NUM
ejpam-5957	644	22	)	)	PUNCT
ejpam-5957	644	23	gives	give	VERB
ejpam-5957	644	24	us	we	PRON
ejpam-5957	644	25	∞∑	∞∑	NUM
ejpam-5957	644	26	n=0	n=0	NUM
ejpam-5957	644	27	hf	hf	NOUN
ejpam-5957	644	28	(	(	PUNCT
ejpam-5957	644	29	j	j	NOUN
ejpam-5957	644	30	)	)	PUNCT
ejpam-5957	644	31	n	n	PROPN
ejpam-5957	644	32	(	(	PUNCT
ejpam-5957	644	33	x	x	X
ejpam-5957	644	34	,	,	PUNCT
ejpam-5957	644	35	y	y	PROPN
ejpam-5957	644	36	;	;	PUNCT
ejpam-5957	644	37	z	z	X
ejpam-5957	644	38	)	)	PUNCT
ejpam-5957	644	39	tn	tn	PROPN
ejpam-5957	644	40	n	n	NOUN
ejpam-5957	644	41	!	!	PUNCT
ejpam-5957	645	1	=	=	PUNCT
ejpam-5957	646	1	∞∑	∞∑	PRON
ejpam-5957	646	2	n=0	n=0	NUM
ejpam-5957	646	3	h(j	h(j	NOUN
ejpam-5957	646	4	)	)	PUNCT
ejpam-5957	646	5	n	n	CCONJ
ejpam-5957	646	6	(	(	PUNCT
ejpam-5957	646	7	x	x	NOUN
ejpam-5957	646	8	,	,	PUNCT
ejpam-5957	646	9	z	z	NOUN
ejpam-5957	646	10	)	)	PUNCT
ejpam-5957	646	11	tn	tn	PROPN
ejpam-5957	646	12	n	n	CCONJ
ejpam-5957	646	13	!	!	PUNCT
ejpam-5957	647	1	∞∑	∞∑	NUM
ejpam-5957	647	2	m=0	m=0	PROPN
ejpam-5957	647	3	fm(y	fm(y	PUNCT
ejpam-5957	647	4	)	)	PUNCT
ejpam-5957	647	5	tm	tm	PRON
ejpam-5957	647	6	m	m	PROPN
ejpam-5957	647	7	!	!	PUNCT
ejpam-5957	647	8	.	.	PUNCT
ejpam-5957	648	1	(	(	PUNCT
ejpam-5957	648	2	91	91	NUM
ejpam-5957	648	3	)	)	PUNCT
ejpam-5957	648	4	hence	hence	ADV
ejpam-5957	648	5	,	,	PUNCT
ejpam-5957	648	6	applying	apply	VERB
ejpam-5957	648	7	definition	definition	NOUN
ejpam-5957	648	8	3	3	NUM
ejpam-5957	648	9	to	to	ADP
ejpam-5957	648	10	the	the	DET
ejpam-5957	648	11	right	right	ADJ
ejpam-5957	648	12	-	-	PUNCT
ejpam-5957	648	13	hand	hand	NOUN
ejpam-5957	648	14	side	side	NOUN
ejpam-5957	648	15	of	of	ADP
ejpam-5957	648	16	equation	equation	NOUN
ejpam-5957	648	17	(	(	PUNCT
ejpam-5957	648	18	91	91	NUM
ejpam-5957	648	19	)	)	PUNCT
ejpam-5957	648	20	we	we	PRON
ejpam-5957	648	21	have	have	VERB
ejpam-5957	648	22	∞∑	∞∑	NUM
ejpam-5957	648	23	n=0	n=0	NUM
ejpam-5957	648	24	hf	hf	NOUN
ejpam-5957	648	25	(	(	PUNCT
ejpam-5957	648	26	j	j	NOUN
ejpam-5957	648	27	)	)	PUNCT
ejpam-5957	648	28	n	n	PROPN
ejpam-5957	648	29	(	(	PUNCT
ejpam-5957	648	30	x	x	X
ejpam-5957	648	31	,	,	PUNCT
ejpam-5957	648	32	y	y	PROPN
ejpam-5957	648	33	;	;	PUNCT
ejpam-5957	648	34	z	z	X
ejpam-5957	648	35	)	)	PUNCT
ejpam-5957	648	36	tn	tn	PROPN
ejpam-5957	648	37	n	n	NOUN
ejpam-5957	648	38	!	!	PUNCT
ejpam-5957	649	1	=	=	PUNCT
ejpam-5957	650	1	∞∑	∞∑	PRON
ejpam-5957	650	2	n=0	n=0	NUM
ejpam-5957	650	3	h(j	h(j	NOUN
ejpam-5957	650	4	)	)	PUNCT
ejpam-5957	650	5	n	n	CCONJ
ejpam-5957	650	6	(	(	PUNCT
ejpam-5957	650	7	x	x	NOUN
ejpam-5957	650	8	,	,	PUNCT
ejpam-5957	650	9	z	z	NOUN
ejpam-5957	650	10	)	)	PUNCT
ejpam-5957	650	11	tn	tn	PROPN
ejpam-5957	650	12	n	n	CCONJ
ejpam-5957	650	13	!	!	PUNCT
ejpam-5957	651	1	∞∑	∞∑	ADJ
ejpam-5957	651	2	m=0	m=0	PROPN
ejpam-5957	651	3	m∑	m∑	PUNCT
ejpam-5957	651	4	k=0	k=0	PROPN
ejpam-5957	651	5	s(m	s(m	PROPN
ejpam-5957	651	6	,	,	PUNCT
ejpam-5957	651	7	k)k!yk	k)k!yk	PROPN
ejpam-5957	651	8	tm	tm	PROPN
ejpam-5957	651	9	m	m	PROPN
ejpam-5957	651	10	!	!	PUNCT
ejpam-5957	651	11	=	=	NOUN
ejpam-5957	652	1	∞∑	∞∑	DET
ejpam-5957	652	2	n=0	n=0	NUM
ejpam-5957	652	3	h(j	h(j	NOUN
ejpam-5957	652	4	)	)	PUNCT
ejpam-5957	652	5	n	n	CCONJ
ejpam-5957	652	6	(	(	PUNCT
ejpam-5957	652	7	x	x	NOUN
ejpam-5957	652	8	,	,	PUNCT
ejpam-5957	652	9	z	z	NOUN
ejpam-5957	652	10	)	)	PUNCT
ejpam-5957	652	11	tn	tn	PROPN
ejpam-5957	652	12	n	n	CCONJ
ejpam-5957	652	13	!	!	PUNCT
ejpam-5957	653	1	∞∑	∞∑	ADJ
ejpam-5957	653	2	m=0	m=0	PROPN
ejpam-5957	653	3	m∑	m∑	PROPN
ejpam-5957	653	4	k=0	k=0	PROPN
ejpam-5957	653	5	k!yks(m	k!yks(m	PROPN
ejpam-5957	653	6	,	,	PUNCT
ejpam-5957	653	7	k	k	NOUN
ejpam-5957	653	8	)	)	PUNCT
ejpam-5957	653	9	tm	tm	PROPN
ejpam-5957	653	10	m	m	PROPN
ejpam-5957	653	11	!	!	PUNCT
ejpam-5957	653	12	.	.	PUNCT
ejpam-5957	654	1	(	(	PUNCT
ejpam-5957	654	2	92	92	NUM
ejpam-5957	654	3	)	)	PUNCT
ejpam-5957	654	4	thus	thus	ADV
ejpam-5957	654	5	,	,	PUNCT
ejpam-5957	654	6	applying	apply	VERB
ejpam-5957	654	7	theorem	theorem	NOUN
ejpam-5957	654	8	3	3	NUM
ejpam-5957	654	9	to	to	ADP
ejpam-5957	654	10	the	the	DET
ejpam-5957	654	11	right	right	ADJ
ejpam-5957	654	12	-	-	PUNCT
ejpam-5957	654	13	hand	hand	NOUN
ejpam-5957	654	14	side	side	NOUN
ejpam-5957	654	15	of	of	ADP
ejpam-5957	654	16	equation	equation	NOUN
ejpam-5957	654	17	(	(	PUNCT
ejpam-5957	654	18	92	92	NUM
ejpam-5957	654	19	)	)	PUNCT
ejpam-5957	654	20	,	,	PUNCT
ejpam-5957	654	21	we	we	PRON
ejpam-5957	654	22	obtain	obtain	VERB
ejpam-5957	654	23	∞∑	∞∑	NUM
ejpam-5957	654	24	n=0	n=0	NUM
ejpam-5957	654	25	hf	hf	NOUN
ejpam-5957	654	26	(	(	PUNCT
ejpam-5957	654	27	j	j	NOUN
ejpam-5957	654	28	)	)	PUNCT
ejpam-5957	654	29	n	n	PROPN
ejpam-5957	654	30	(	(	PUNCT
ejpam-5957	654	31	x	x	X
ejpam-5957	654	32	,	,	PUNCT
ejpam-5957	654	33	y	y	PROPN
ejpam-5957	654	34	;	;	PUNCT
ejpam-5957	654	35	z	z	X
ejpam-5957	654	36	)	)	PUNCT
ejpam-5957	654	37	tn	tn	PROPN
ejpam-5957	654	38	n	n	NOUN
ejpam-5957	654	39	!	!	PUNCT
ejpam-5957	655	1	=	=	NOUN
ejpam-5957	656	1	∞∑	∞∑	PRON
ejpam-5957	656	2	n=0	n=0	NUM
ejpam-5957	656	3	(	(	PUNCT
ejpam-5957	656	4	n∑	n∑	PROPN
ejpam-5957	656	5	m=0	m=0	PROPN
ejpam-5957	656	6	(	(	PUNCT
ejpam-5957	656	7	n	n	NOUN
ejpam-5957	656	8	m	m	PROPN
ejpam-5957	656	9	)	)	PUNCT
ejpam-5957	656	10	h	h	NOUN
ejpam-5957	656	11	(	(	PUNCT
ejpam-5957	656	12	j	j	PROPN
ejpam-5957	656	13	)	)	PUNCT
ejpam-5957	656	14	n−m(x	n−m(x	NOUN
ejpam-5957	656	15	,	,	PUNCT
ejpam-5957	656	16	z	z	NOUN
ejpam-5957	656	17	)	)	PUNCT
ejpam-5957	656	18	m∑	m∑	CCONJ
ejpam-5957	656	19	k=0	k=0	PROPN
ejpam-5957	656	20	k!yks(m	k!yks(m	PROPN
ejpam-5957	656	21	,	,	PUNCT
ejpam-5957	656	22	k	k	NOUN
ejpam-5957	656	23	)	)	PUNCT
ejpam-5957	656	24	)	)	PUNCT
ejpam-5957	656	25	tn	tn	PROPN
ejpam-5957	656	26	n	n	PROPN
ejpam-5957	656	27	!	!	PUNCT
ejpam-5957	656	28	.	.	PUNCT
ejpam-5957	657	1	(	(	PUNCT
ejpam-5957	657	2	93	93	NUM
ejpam-5957	657	3	)	)	PUNCT
ejpam-5957	657	4	comparing	compare	VERB
ejpam-5957	657	5	the	the	DET
ejpam-5957	657	6	coefficients	coefficient	NOUN
ejpam-5957	657	7	of	of	ADP
ejpam-5957	657	8	tn	tn	NOUN
ejpam-5957	657	9	n	n	X
ejpam-5957	657	10	!	!	PUNCT
ejpam-5957	657	11	yields	yield	NOUN
ejpam-5957	657	12	(	(	PUNCT
ejpam-5957	657	13	89	89	NUM
ejpam-5957	657	14	)	)	PUNCT
ejpam-5957	657	15	.	.	PUNCT
ejpam-5957	658	1	r.	r.	PROPN
ejpam-5957	658	2	g.	g.	PROPN
ejpam-5957	658	3	bago	bago	PROPN
ejpam-5957	658	4	,	,	PUNCT
ejpam-5957	658	5	n.	n.	PROPN
ejpam-5957	658	6	s.	s.	PROPN
ejpam-5957	658	7	abdulcarim	abdulcarim	PROPN
ejpam-5957	658	8	/	/	SYM
ejpam-5957	658	9	eur	eur	PROPN
ejpam-5957	658	10	.	.	PUNCT
ejpam-5957	659	1	j.	j.	PROPN
ejpam-5957	659	2	pure	pure	PROPN
ejpam-5957	659	3	appl	appl	PROPN
ejpam-5957	659	4	.	.	PROPN
ejpam-5957	659	5	math	math	PROPN
ejpam-5957	659	6	,	,	PUNCT
ejpam-5957	659	7	18	18	NUM
ejpam-5957	659	8	(	(	PUNCT
ejpam-5957	659	9	2	2	NUM
ejpam-5957	659	10	)	)	PUNCT
ejpam-5957	659	11	(	(	PUNCT
ejpam-5957	659	12	2025	2025	NUM
ejpam-5957	659	13	)	)	PUNCT
ejpam-5957	659	14	,	,	PUNCT
ejpam-5957	659	15	5957	5957	NUM
ejpam-5957	659	16	25	25	NUM
ejpam-5957	659	17	of	of	ADP
ejpam-5957	659	18	25	25	NUM
ejpam-5957	659	19	acknowledgements	acknowledgement	NOUN
ejpam-5957	659	20	this	this	DET
ejpam-5957	659	21	research	research	NOUN
ejpam-5957	659	22	is	be	AUX
ejpam-5957	659	23	funded	fund	VERB
ejpam-5957	659	24	by	by	ADP
ejpam-5957	659	25	the	the	DET
ejpam-5957	659	26	department	department	PROPN
ejpam-5957	659	27	of	of	ADP
ejpam-5957	659	28	science	science	NOUN
ejpam-5957	659	29	and	and	CCONJ
ejpam-5957	659	30	technology	technology	NOUN
ejpam-5957	659	31	(	(	PUNCT
ejpam-5957	659	32	dost	dost	NOUN
ejpam-5957	659	33	)	)	PUNCT
ejpam-5957	659	34	and	and	CCONJ
ejpam-5957	659	35	the	the	DET
ejpam-5957	659	36	mindanao	mindanao	PROPN
ejpam-5957	659	37	state	state	PROPN
ejpam-5957	659	38	university	university	PROPN
ejpam-5957	659	39	main	main	ADJ
ejpam-5957	659	40	campus	campus	NOUN
ejpam-5957	659	41	(	(	PUNCT
ejpam-5957	659	42	msu	msu	NOUN
ejpam-5957	659	43	main	main	ADJ
ejpam-5957	659	44	)	)	PUNCT
ejpam-5957	659	45	.	.	PUNCT
ejpam-5957	660	1	references	reference	NOUN
ejpam-5957	660	2	[	[	X
ejpam-5957	660	3	1	1	X
ejpam-5957	660	4	]	]	PUNCT
ejpam-5957	660	5	s.	s.	PROPN
ejpam-5957	660	6	m.	m.	PROPN
ejpam-5957	660	7	tanny	tanny	PROPN
ejpam-5957	660	8	.	.	PUNCT
ejpam-5957	661	1	on	on	ADP
ejpam-5957	661	2	some	some	DET
ejpam-5957	661	3	numbers	number	NOUN
ejpam-5957	661	4	related	relate	VERB
ejpam-5957	661	5	to	to	ADP
ejpam-5957	661	6	the	the	DET
ejpam-5957	661	7	bell	bell	NOUN
ejpam-5957	661	8	numbers	number	NOUN
ejpam-5957	661	9	.	.	PUNCT
ejpam-5957	662	1	canadian	canadian	ADJ
ejpam-5957	662	2	mathematical	mathematical	ADJ
ejpam-5957	662	3	bulletin	bulletin	NOUN
ejpam-5957	662	4	,	,	PUNCT
ejpam-5957	662	5	17(5):733–738	17(5):733–738	NUM
ejpam-5957	662	6	,	,	PUNCT
ejpam-5957	662	7	1975	1975	NUM
ejpam-5957	662	8	.	.	PUNCT
ejpam-5957	663	1	[	[	X
ejpam-5957	663	2	2	2	NUM
ejpam-5957	663	3	]	]	PUNCT
ejpam-5957	663	4	l.	l.	PROPN
ejpam-5957	663	5	kargin	kargin	PROPN
ejpam-5957	663	6	.	.	PUNCT
ejpam-5957	664	1	some	some	DET
ejpam-5957	664	2	formulae	formulae	NOUN
ejpam-5957	664	3	for	for	ADP
ejpam-5957	664	4	products	product	NOUN
ejpam-5957	664	5	of	of	ADP
ejpam-5957	664	6	geometric	geometric	ADJ
ejpam-5957	664	7	polynomials	polynomial	NOUN
ejpam-5957	664	8	with	with	ADP
ejpam-5957	664	9	applications	application	NOUN
ejpam-5957	664	10	.	.	PUNCT
ejpam-5957	665	1	journal	journal	NOUN
ejpam-5957	665	2	of	of	ADP
ejpam-5957	665	3	integer	integer	PROPN
ejpam-5957	665	4	sequences	sequence	NOUN
ejpam-5957	665	5	,	,	PUNCT
ejpam-5957	665	6	20(7):17.7.3	20(7):17.7.3	NUM
ejpam-5957	665	7	,	,	PUNCT
ejpam-5957	665	8	2017	2017	NUM
ejpam-5957	665	9	.	.	PUNCT
ejpam-5957	666	1	[	[	X
ejpam-5957	666	2	3	3	X
ejpam-5957	666	3	]	]	X
ejpam-5957	666	4	l.	l.	PROPN
ejpam-5957	666	5	comtet	comtet	PROPN
ejpam-5957	666	6	.	.	PUNCT
ejpam-5957	667	1	advanced	advanced	ADJ
ejpam-5957	667	2	combinatorics	combinatoric	NOUN
ejpam-5957	667	3	.	.	PUNCT
ejpam-5957	668	1	d.	d.	PROPN
ejpam-5957	668	2	reidel	reidel	PROPN
ejpam-5957	668	3	publishing	publishing	PROPN
ejpam-5957	668	4	company	company	NOUN
ejpam-5957	668	5	,	,	PUNCT
ejpam-5957	668	6	dordrecht	dordrecht	PROPN
ejpam-5957	668	7	,	,	PUNCT
ejpam-5957	668	8	1974	1974	NUM
ejpam-5957	668	9	.	.	PUNCT
ejpam-5957	669	1	[	[	X
ejpam-5957	669	2	4	4	X
ejpam-5957	669	3	]	]	PUNCT
ejpam-5957	669	4	p.	p.	NOUN
ejpam-5957	669	5	appell	appell	PROPN
ejpam-5957	669	6	and	and	CCONJ
ejpam-5957	669	7	j.	j.	PROPN
ejpam-5957	669	8	k.	k.	PROPN
ejpam-5957	669	9	de	de	PROPN
ejpam-5957	669	10	fériet	fériet	PROPN
ejpam-5957	669	11	.	.	PUNCT
ejpam-5957	670	1	fonctions	fonction	NOUN
ejpam-5957	670	2	hypergéométriques	hypergéométrique	VERB
ejpam-5957	670	3	et	et	NOUN
ejpam-5957	670	4	hypersphériques	hypersphérique	NOUN
ejpam-5957	670	5	:	:	PUNCT
ejpam-5957	670	6	polynomes	polynome	NOUN
ejpam-5957	670	7	d’hermite	d’hermite	NUM
ejpam-5957	670	8	.	.	PUNCT
ejpam-5957	671	1	gauthier	gauthier	NOUN
ejpam-5957	671	2	-	-	PUNCT
ejpam-5957	671	3	villars	villars	PROPN
ejpam-5957	671	4	,	,	PUNCT
ejpam-5957	671	5	paris	paris	PROPN
ejpam-5957	671	6	,	,	PUNCT
ejpam-5957	671	7	1926	1926	NUM
ejpam-5957	671	8	.	.	PUNCT
ejpam-5957	672	1	[	[	X
ejpam-5957	672	2	5	5	X
ejpam-5957	672	3	]	]	PUNCT
ejpam-5957	672	4	w.	w.	PROPN
ejpam-5957	672	5	a.	a.	PROPN
ejpam-5957	672	6	khan	khan	PROPN
ejpam-5957	672	7	and	and	CCONJ
ejpam-5957	672	8	k.	k.	PROPN
ejpam-5957	672	9	s.	s.	PROPN
ejpam-5957	672	10	nisar	nisar	PROPN
ejpam-5957	672	11	.	.	PUNCT
ejpam-5957	673	1	a	a	DET
ejpam-5957	673	2	new	new	ADJ
ejpam-5957	673	3	class	class	NOUN
ejpam-5957	673	4	of	of	ADP
ejpam-5957	673	5	hermite	hermite	ADJ
ejpam-5957	673	6	-	-	PUNCT
ejpam-5957	673	7	fubini	fubini	ADJ
ejpam-5957	673	8	polynomials	polynomial	NOUN
ejpam-5957	673	9	and	and	CCONJ
ejpam-5957	673	10	its	its	PRON
ejpam-5957	673	11	properties	property	NOUN
ejpam-5957	673	12	,	,	PUNCT
ejpam-5957	673	13	2019	2019	NUM
ejpam-5957	673	14	.	.	PUNCT
ejpam-5957	674	1	[	[	X
ejpam-5957	674	2	6	6	NUM
ejpam-5957	674	3	]	]	PUNCT
ejpam-5957	674	4	h.	h.	PROPN
ejpam-5957	674	5	w.	w.	PROPN
ejpam-5957	674	6	gould	gould	PROPN
ejpam-5957	674	7	and	and	CCONJ
ejpam-5957	674	8	a.	a.	NOUN
ejpam-5957	674	9	t.	t.	NOUN
ejpam-5957	674	10	hopper	hopper	NOUN
ejpam-5957	674	11	.	.	PUNCT
ejpam-5957	675	1	operational	operational	ADJ
ejpam-5957	675	2	formulas	formula	NOUN
ejpam-5957	675	3	connected	connect	VERB
ejpam-5957	675	4	with	with	ADP
ejpam-5957	675	5	two	two	NUM
ejpam-5957	675	6	generalizations	generalization	NOUN
ejpam-5957	675	7	of	of	ADP
ejpam-5957	675	8	hermite	hermite	ADJ
ejpam-5957	675	9	polynomials	polynomial	NOUN
ejpam-5957	675	10	.	.	PUNCT
ejpam-5957	676	1	duke	duke	PROPN
ejpam-5957	676	2	mathematical	mathematical	PROPN
ejpam-5957	676	3	journal	journal	PROPN
ejpam-5957	676	4	,	,	PUNCT
ejpam-5957	676	5	29(1):51–63	29(1):51–63	NUM
ejpam-5957	676	6	,	,	PUNCT
ejpam-5957	676	7	1962	1962	NUM
ejpam-5957	676	8	.	.	PUNCT
ejpam-5957	677	1	[	[	X
ejpam-5957	677	2	7	7	X
ejpam-5957	677	3	]	]	X
ejpam-5957	677	4	d.	d.	NOUN
ejpam-5957	677	5	guichard	guichard	PROPN
ejpam-5957	677	6	.	.	PUNCT
ejpam-5957	678	1	combinatorics	combinatoric	NOUN
ejpam-5957	678	2	and	and	CCONJ
ejpam-5957	678	3	graph	graph	NOUN
ejpam-5957	678	4	theory	theory	NOUN
ejpam-5957	678	5	.	.	PUNCT
ejpam-5957	679	1	libretexts	libretext	NOUN
ejpam-5957	679	2	,	,	PUNCT
ejpam-5957	679	3	2020	2020	NUM
ejpam-5957	679	4	.	.	PUNCT
ejpam-5957	680	1	cc	cc	VERB
ejpam-5957	680	2	by	by	ADP
ejpam-5957	680	3	-	-	PUNCT
ejpam-5957	680	4	nc	nc	PROPN
ejpam-5957	680	5	-	-	PUNCT
ejpam-5957	680	6	sa	sa	NOUN
ejpam-5957	680	7	.	.	PUNCT
ejpam-5957	681	1	[	[	X
ejpam-5957	681	2	8	8	NUM
ejpam-5957	681	3	]	]	X
ejpam-5957	681	4	g.	g.	PROPN
ejpam-5957	681	5	b.	b.	PROPN
ejpam-5957	681	6	thomas	thomas	PROPN
ejpam-5957	681	7	jr	jr	PROPN
ejpam-5957	681	8	.	.	PROPN
ejpam-5957	681	9	,	,	PUNCT
ejpam-5957	681	10	j.	j.	PROPN
ejpam-5957	681	11	hass	hass	PROPN
ejpam-5957	681	12	,	,	PUNCT
ejpam-5957	681	13	c.	c.	PROPN
ejpam-5957	681	14	heil	heil	PROPN
ejpam-5957	681	15	,	,	PUNCT
ejpam-5957	681	16	and	and	CCONJ
ejpam-5957	681	17	m.	m.	PROPN
ejpam-5957	681	18	d.	d.	PROPN
ejpam-5957	681	19	weir	weir	PROPN
ejpam-5957	681	20	.	.	PUNCT
ejpam-5957	682	1	thomas	thomas	PROPN
ejpam-5957	682	2	’	'	PUNCT
ejpam-5957	682	3	calculus	calculus	PROPN
ejpam-5957	682	4	.	.	PUNCT
ejpam-5957	683	1	pearson	pearson	PROPN
ejpam-5957	683	2	education	education	PROPN
ejpam-5957	683	3	,	,	PUNCT
ejpam-5957	683	4	inc	inc	PROPN
ejpam-5957	683	5	.	.	PROPN
ejpam-5957	683	6	,	,	PUNCT
ejpam-5957	683	7	boston	boston	PROPN
ejpam-5957	683	8	,	,	PUNCT
ejpam-5957	683	9	14	14	NUM
ejpam-5957	683	10	edition	edition	NOUN
ejpam-5957	683	11	,	,	PUNCT
ejpam-5957	683	12	2018	2018	NUM
ejpam-5957	683	13	.	.	PUNCT
ejpam-5957	684	1	[	[	X
ejpam-5957	684	2	9	9	NUM
ejpam-5957	684	3	]	]	X
ejpam-5957	684	4	h.	h.	PROPN
ejpam-5957	684	5	m.	m.	PROPN
ejpam-5957	684	6	srivastava	srivastava	PROPN
ejpam-5957	684	7	,	,	PUNCT
ejpam-5957	684	8	j.	j.	PROPN
ejpam-5957	684	9	choi	choi	PROPN
ejpam-5957	684	10	,	,	PUNCT
ejpam-5957	684	11	t.	t.	PROPN
ejpam-5957	684	12	kim	kim	PROPN
ejpam-5957	684	13	,	,	PUNCT
ejpam-5957	684	14	and	and	CCONJ
ejpam-5957	684	15	l.	l.	PROPN
ejpam-5957	684	16	c.	c.	PROPN
ejpam-5957	684	17	jang	jang	PROPN
ejpam-5957	684	18	.	.	PUNCT
ejpam-5957	685	1	zeta	zeta	PROPN
ejpam-5957	685	2	and	and	CCONJ
ejpam-5957	685	3	q	q	ADJ
ejpam-5957	685	4	-	-	PUNCT
ejpam-5957	685	5	zeta	zeta	NOUN
ejpam-5957	685	6	functions	function	NOUN
ejpam-5957	685	7	and	and	CCONJ
ejpam-5957	685	8	associated	associated	ADJ
ejpam-5957	685	9	series	series	NOUN
ejpam-5957	685	10	and	and	CCONJ
ejpam-5957	685	11	integrals	integral	NOUN
ejpam-5957	685	12	.	.	PUNCT
ejpam-5957	686	1	elsevier	elsevier	PROPN
ejpam-5957	686	2	,	,	PUNCT
ejpam-5957	686	3	london	london	PROPN
ejpam-5957	686	4	,	,	PUNCT
ejpam-5957	686	5	2012	2012	NUM
ejpam-5957	686	6	.	.	PUNCT
ejpam-5957	687	1	[	[	X
ejpam-5957	687	2	10	10	NUM
ejpam-5957	687	3	]	]	X
ejpam-5957	687	4	r.	r.	PROPN
ejpam-5957	687	5	l.	l.	PROPN
ejpam-5957	687	6	graham	graham	PROPN
ejpam-5957	687	7	,	,	PUNCT
ejpam-5957	687	8	d.	d.	PROPN
ejpam-5957	687	9	e.	e.	PROPN
ejpam-5957	687	10	knuth	knuth	PROPN
ejpam-5957	687	11	,	,	PUNCT
ejpam-5957	687	12	and	and	CCONJ
ejpam-5957	687	13	o.	o.	PROPN
ejpam-5957	687	14	patashnik	patashnik	PROPN
ejpam-5957	687	15	.	.	PUNCT
ejpam-5957	688	1	concrete	concrete	ADJ
ejpam-5957	688	2	mathematics	mathematic	NOUN
ejpam-5957	688	3	.	.	PUNCT
ejpam-5957	689	1	addisonwesley	addisonwesley	ADJ
ejpam-5957	689	2	publishing	publishing	PROPN
ejpam-5957	689	3	company	company	NOUN
ejpam-5957	689	4	,	,	PUNCT
ejpam-5957	689	5	reading	reading	NOUN
ejpam-5957	689	6	,	,	PUNCT
ejpam-5957	689	7	ma	ma	PROPN
ejpam-5957	689	8	,	,	PUNCT
ejpam-5957	689	9	1989	1989	NUM
ejpam-5957	689	10	.	.	PUNCT
ejpam-5957	690	1	[	[	X
ejpam-5957	690	2	11	11	NUM
ejpam-5957	690	3	]	]	PUNCT
ejpam-5957	690	4	a.	a.	NOUN
ejpam-5957	690	5	muhyi	muhyi	PROPN
ejpam-5957	690	6	.	.	PUNCT
ejpam-5957	691	1	a	a	DET
ejpam-5957	691	2	new	new	ADJ
ejpam-5957	691	3	class	class	NOUN
ejpam-5957	691	4	of	of	ADP
ejpam-5957	691	5	gould	gould	PROPN
ejpam-5957	691	6	-	-	PUNCT
ejpam-5957	691	7	hopper	hopper	NOUN
ejpam-5957	691	8	-	-	PUNCT
ejpam-5957	691	9	eulerian	eulerian	ADJ
ejpam-5957	691	10	-	-	PUNCT
ejpam-5957	691	11	type	type	NOUN
ejpam-5957	691	12	polynomials	polynomial	NOUN
ejpam-5957	691	13	.	.	PUNCT
ejpam-5957	692	1	applied	apply	VERB
ejpam-5957	692	2	mathematics	mathematic	NOUN
ejpam-5957	692	3	in	in	ADP
ejpam-5957	692	4	science	science	NOUN
ejpam-5957	692	5	and	and	CCONJ
ejpam-5957	692	6	engineering	engineering	NOUN
ejpam-5957	692	7	,	,	PUNCT
ejpam-5957	692	8	30(1):283–306	30(1):283–306	PROPN
ejpam-5957	692	9	,	,	PUNCT
ejpam-5957	692	10	2022	2022	NUM
ejpam-5957	692	11	.	.	PUNCT