id	sid	tid	token	lemma	pos
ejpam-5807	1	1	european	european	PROPN
ejpam-5807	1	2	journal	journal	PROPN
ejpam-5807	1	3	of	of	ADP
ejpam-5807	1	4	pure	pure	ADJ
ejpam-5807	1	5	and	and	CCONJ
ejpam-5807	1	6	applied	applied	ADJ
ejpam-5807	1	7	mathematics	mathematic	NOUN
ejpam-5807	1	8	2025	2025	NUM
ejpam-5807	1	9	,	,	PUNCT
ejpam-5807	1	10	vol	vol	NOUN
ejpam-5807	1	11	.	.	PROPN
ejpam-5807	1	12	18	18	NUM
ejpam-5807	1	13	,	,	PUNCT
ejpam-5807	1	14	issue	issue	NOUN
ejpam-5807	1	15	1	1	NUM
ejpam-5807	1	16	,	,	PUNCT
ejpam-5807	1	17	article	article	NOUN
ejpam-5807	1	18	number	number	NOUN
ejpam-5807	1	19	5807	5807	NUM
ejpam-5807	1	20	issn	issn	VERB
ejpam-5807	1	21	1307	1307	NUM
ejpam-5807	1	22	-	-	SYM
ejpam-5807	1	23	5543	5543	NUM
ejpam-5807	1	24	–	–	PUNCT
ejpam-5807	1	25	ejpam.com	ejpam.com	X
ejpam-5807	1	26	published	publish	VERB
ejpam-5807	1	27	by	by	ADP
ejpam-5807	1	28	new	new	PROPN
ejpam-5807	1	29	york	york	PROPN
ejpam-5807	1	30	business	business	PROPN
ejpam-5807	1	31	global	global	PROPN
ejpam-5807	1	32	the	the	DET
ejpam-5807	1	33	double	double	ADJ
ejpam-5807	1	34	ara	ara	NOUN
ejpam-5807	1	35	-	-	PUNCT
ejpam-5807	1	36	sawi	sawi	NOUN
ejpam-5807	1	37	transform	transform	NOUN
ejpam-5807	2	1	raed	raed	PROPN
ejpam-5807	2	2	r.	r.	PROPN
ejpam-5807	2	3	abu	abu	PROPN
ejpam-5807	2	4	awwad1	awwad1	PROPN
ejpam-5807	2	5	,	,	PUNCT
ejpam-5807	2	6	monther	monther	PROPN
ejpam-5807	2	7	al	al	PROPN
ejpam-5807	2	8	-	-	PUNCT
ejpam-5807	2	9	momani2	momani2	PROPN
ejpam-5807	2	10	,	,	PUNCT
ejpam-5807	2	11	ali	ali	PROPN
ejpam-5807	2	12	jaradat2	jaradat2	PROPN
ejpam-5807	2	13	,	,	PUNCT
ejpam-5807	2	14	baha	baha	X
ejpam-5807	2	15	’	'	PUNCT
ejpam-5807	2	16	abughazaleh3,∗	abughazaleh3,∗	PROPN
ejpam-5807	2	17	,	,	PUNCT
ejpam-5807	2	18	ahmad	ahmad	PROPN
ejpam-5807	2	19	al	al	PROPN
ejpam-5807	2	20	-	-	PUNCT
ejpam-5807	2	21	natoor3	natoor3	PROPN
ejpam-5807	2	22	1	1	NUM
ejpam-5807	2	23	department	department	NOUN
ejpam-5807	2	24	of	of	ADP
ejpam-5807	2	25	mathematics	mathematics	PROPN
ejpam-5807	2	26	,	,	PUNCT
ejpam-5807	2	27	university	university	PROPN
ejpam-5807	2	28	of	of	ADP
ejpam-5807	2	29	petra	petra	PROPN
ejpam-5807	2	30	,	,	PUNCT
ejpam-5807	2	31	amman	amman	PROPN
ejpam-5807	2	32	,	,	PUNCT
ejpam-5807	2	33	jordan	jordan	PROPN
ejpam-5807	2	34	2	2	NUM
ejpam-5807	2	35	department	department	NOUN
ejpam-5807	2	36	of	of	ADP
ejpam-5807	2	37	mathematics	mathematic	NOUN
ejpam-5807	2	38	,	,	PUNCT
ejpam-5807	2	39	amman	amman	PROPN
ejpam-5807	2	40	arab	arab	PROPN
ejpam-5807	2	41	university	university	PROPN
ejpam-5807	2	42	,	,	PUNCT
ejpam-5807	2	43	amman	amman	PROPN
ejpam-5807	2	44	,	,	PUNCT
ejpam-5807	2	45	jordan	jordan	PROPN
ejpam-5807	2	46	3	3	NUM
ejpam-5807	2	47	department	department	PROPN
ejpam-5807	2	48	of	of	ADP
ejpam-5807	2	49	mathematics	mathematics	PROPN
ejpam-5807	2	50	,	,	PUNCT
ejpam-5807	2	51	isra	isra	PROPN
ejpam-5807	2	52	university	university	PROPN
ejpam-5807	2	53	,	,	PUNCT
ejpam-5807	2	54	amman	amman	PROPN
ejpam-5807	2	55	,	,	PUNCT
ejpam-5807	2	56	jordan	jordan	PROPN
ejpam-5807	2	57	abstract	abstract	PROPN
ejpam-5807	2	58	.	.	PUNCT
ejpam-5807	3	1	this	this	DET
ejpam-5807	3	2	study	study	NOUN
ejpam-5807	3	3	introduces	introduce	VERB
ejpam-5807	3	4	a	a	DET
ejpam-5807	3	5	novel	novel	ADJ
ejpam-5807	3	6	integral	integral	ADJ
ejpam-5807	3	7	transform	transform	NOUN
ejpam-5807	3	8	derived	derive	VERB
ejpam-5807	3	9	by	by	ADP
ejpam-5807	3	10	integrating	integrate	VERB
ejpam-5807	3	11	the	the	DET
ejpam-5807	3	12	ara	ara	NOUN
ejpam-5807	3	13	and	and	CCONJ
ejpam-5807	3	14	sawi	sawi	ADJ
ejpam-5807	3	15	transforms	transform	VERB
ejpam-5807	3	16	.	.	PUNCT
ejpam-5807	4	1	the	the	DET
ejpam-5807	4	2	paper	paper	NOUN
ejpam-5807	4	3	explores	explore	VERB
ejpam-5807	4	4	the	the	DET
ejpam-5807	4	5	foundational	foundational	ADJ
ejpam-5807	4	6	properties	property	NOUN
ejpam-5807	4	7	and	and	CCONJ
ejpam-5807	4	8	establishes	establish	VERB
ejpam-5807	4	9	the	the	DET
ejpam-5807	4	10	existence	existence	NOUN
ejpam-5807	4	11	of	of	ADP
ejpam-5807	4	12	this	this	DET
ejpam-5807	4	13	new	new	ADJ
ejpam-5807	4	14	transform	transform	NOUN
ejpam-5807	4	15	.	.	PUNCT
ejpam-5807	5	1	it	it	PRON
ejpam-5807	5	2	presents	present	VERB
ejpam-5807	5	3	advanced	advanced	ADJ
ejpam-5807	5	4	results	result	NOUN
ejpam-5807	5	5	for	for	ADP
ejpam-5807	5	6	partial	partial	ADJ
ejpam-5807	5	7	differential	differential	ADJ
ejpam-5807	5	8	equations	equation	NOUN
ejpam-5807	5	9	in	in	ADP
ejpam-5807	5	10	higher	high	ADJ
ejpam-5807	5	11	dimensions	dimension	NOUN
ejpam-5807	5	12	and	and	CCONJ
ejpam-5807	5	13	extends	extend	VERB
ejpam-5807	5	14	the	the	DET
ejpam-5807	5	15	double	double	ADJ
ejpam-5807	5	16	convolution	convolution	NOUN
ejpam-5807	5	17	theorem	theorem	VERB
ejpam-5807	5	18	to	to	ADP
ejpam-5807	5	19	two	two	NUM
ejpam-5807	5	20	dimensions	dimension	NOUN
ejpam-5807	5	21	.	.	PUNCT
ejpam-5807	6	1	these	these	DET
ejpam-5807	6	2	developments	development	NOUN
ejpam-5807	6	3	are	be	AUX
ejpam-5807	6	4	applied	apply	VERB
ejpam-5807	6	5	to	to	PART
ejpam-5807	6	6	solve	solve	VERB
ejpam-5807	6	7	specific	specific	ADJ
ejpam-5807	6	8	types	type	NOUN
ejpam-5807	6	9	of	of	ADP
ejpam-5807	6	10	differential	differential	ADJ
ejpam-5807	6	11	equations	equation	NOUN
ejpam-5807	6	12	,	,	PUNCT
ejpam-5807	6	13	demonstrating	demonstrate	VERB
ejpam-5807	6	14	practical	practical	ADJ
ejpam-5807	6	15	applications	application	NOUN
ejpam-5807	6	16	in	in	ADP
ejpam-5807	6	17	physics	physics	NOUN
ejpam-5807	6	18	and	and	CCONJ
ejpam-5807	6	19	related	relate	VERB
ejpam-5807	6	20	scientific	scientific	ADJ
ejpam-5807	6	21	fields	field	NOUN
ejpam-5807	6	22	.	.	PUNCT
ejpam-5807	7	1	2020	2020	NUM
ejpam-5807	7	2	mathematics	mathematic	NOUN
ejpam-5807	7	3	subject	subject	NOUN
ejpam-5807	7	4	classifications	classification	NOUN
ejpam-5807	7	5	:	:	PUNCT
ejpam-5807	7	6	44a05	44a05	NUM
ejpam-5807	7	7	key	key	ADJ
ejpam-5807	7	8	words	word	NOUN
ejpam-5807	7	9	and	and	CCONJ
ejpam-5807	7	10	phrases	phrase	NOUN
ejpam-5807	7	11	:	:	PUNCT
ejpam-5807	7	12	the	the	DET
ejpam-5807	7	13	ara	ara	PROPN
ejpam-5807	7	14	transform	transform	NOUN
ejpam-5807	7	15	,	,	PUNCT
ejpam-5807	7	16	the	the	DET
ejpam-5807	7	17	sawi	sawi	PROPN
ejpam-5807	7	18	transform	transform	NOUN
ejpam-5807	7	19	,	,	PUNCT
ejpam-5807	7	20	the	the	DET
ejpam-5807	7	21	double	double	ADJ
ejpam-5807	7	22	integral	integral	ADJ
ejpam-5807	7	23	transform	transform	NOUN
ejpam-5807	7	24	,	,	PUNCT
ejpam-5807	7	25	the	the	DET
ejpam-5807	7	26	ara	ara	PROPN
ejpam-5807	7	27	-	-	PUNCT
ejpam-5807	7	28	sawi	sawi	PROPN
ejpam-5807	7	29	transform	transform	NOUN
ejpam-5807	7	30	.	.	PUNCT
ejpam-5807	8	1	1	1	X
ejpam-5807	8	2	.	.	X
ejpam-5807	8	3	introduction	introduction	NOUN
ejpam-5807	8	4	implementing	implement	VERB
ejpam-5807	8	5	integral	integral	ADJ
ejpam-5807	8	6	transform	transform	NOUN
ejpam-5807	8	7	which	which	PRON
ejpam-5807	8	8	is	be	AUX
ejpam-5807	8	9	one	one	NUM
ejpam-5807	8	10	of	of	ADP
ejpam-5807	8	11	the	the	DET
ejpam-5807	8	12	powerful	powerful	ADJ
ejpam-5807	8	13	mathematical	mathematical	ADJ
ejpam-5807	8	14	techniques	technique	NOUN
ejpam-5807	8	15	,	,	PUNCT
ejpam-5807	8	16	which	which	PRON
ejpam-5807	8	17	transforms	transform	VERB
ejpam-5807	8	18	a	a	DET
ejpam-5807	8	19	function	function	NOUN
ejpam-5807	8	20	to	to	ADP
ejpam-5807	8	21	another	another	DET
ejpam-5807	8	22	domain	domain	NOUN
ejpam-5807	8	23	.	.	PUNCT
ejpam-5807	9	1	by	by	ADP
ejpam-5807	9	2	applying	apply	VERB
ejpam-5807	9	3	the	the	DET
ejpam-5807	9	4	inverse	inverse	NOUN
ejpam-5807	9	5	of	of	ADP
ejpam-5807	9	6	the	the	DET
ejpam-5807	9	7	integral	integral	ADJ
ejpam-5807	9	8	transform	transform	NOUN
ejpam-5807	9	9	,	,	PUNCT
ejpam-5807	9	10	we	we	PRON
ejpam-5807	9	11	return	return	VERB
ejpam-5807	9	12	to	to	ADP
ejpam-5807	9	13	the	the	DET
ejpam-5807	9	14	original	original	ADJ
ejpam-5807	9	15	space	space	NOUN
ejpam-5807	9	16	after	after	ADP
ejpam-5807	9	17	transforming	transform	VERB
ejpam-5807	9	18	the	the	DET
ejpam-5807	9	19	function	function	NOUN
ejpam-5807	9	20	.	.	PUNCT
ejpam-5807	10	1	such	such	ADJ
ejpam-5807	10	2	transforms	transform	NOUN
ejpam-5807	10	3	play	play	VERB
ejpam-5807	10	4	a	a	DET
ejpam-5807	10	5	crucial	crucial	ADJ
ejpam-5807	10	6	role	role	NOUN
ejpam-5807	10	7	in	in	ADP
ejpam-5807	10	8	engineering	engineering	NOUN
ejpam-5807	10	9	(	(	PUNCT
ejpam-5807	10	10	dealing	deal	VERB
ejpam-5807	10	11	with	with	ADP
ejpam-5807	10	12	signals	signal	NOUN
ejpam-5807	10	13	)	)	PUNCT
ejpam-5807	10	14	,	,	PUNCT
ejpam-5807	10	15	economics	economic	NOUN
ejpam-5807	10	16	(	(	PUNCT
ejpam-5807	10	17	input	input	NOUN
ejpam-5807	10	18	-	-	PUNCT
ejpam-5807	10	19	output	output	NOUN
ejpam-5807	10	20	relationships	relationship	NOUN
ejpam-5807	10	21	)	)	PUNCT
ejpam-5807	10	22	,	,	PUNCT
ejpam-5807	10	23	physics	physics	NOUN
ejpam-5807	10	24	(	(	PUNCT
ejpam-5807	10	25	quantum	quantum	NOUN
ejpam-5807	10	26	mechanics	mechanic	NOUN
ejpam-5807	10	27	)	)	PUNCT
ejpam-5807	10	28	,	,	PUNCT
ejpam-5807	10	29	and	and	CCONJ
ejpam-5807	10	30	chemistry	chemistry	NOUN
ejpam-5807	10	31	(	(	PUNCT
ejpam-5807	10	32	reaction	reaction	NOUN
ejpam-5807	10	33	kinetics	kinetic	NOUN
ejpam-5807	10	34	)	)	PUNCT
ejpam-5807	10	35	,	,	PUNCT
ejpam-5807	10	36	where	where	SCONJ
ejpam-5807	10	37	they	they	PRON
ejpam-5807	10	38	are	be	AUX
ejpam-5807	10	39	valuable	valuable	ADJ
ejpam-5807	10	40	in	in	ADP
ejpam-5807	10	41	elucidating	elucidate	VERB
ejpam-5807	10	42	complex	complex	ADJ
ejpam-5807	10	43	real	real	ADJ
ejpam-5807	10	44	systems	system	NOUN
ejpam-5807	10	45	.	.	PUNCT
ejpam-5807	11	1	as	as	ADP
ejpam-5807	11	2	a	a	DET
ejpam-5807	11	3	result	result	NOUN
ejpam-5807	11	4	,	,	PUNCT
ejpam-5807	11	5	mathematicians	mathematician	NOUN
ejpam-5807	11	6	are	be	AUX
ejpam-5807	11	7	constantly	constantly	ADV
ejpam-5807	11	8	coming	come	VERB
ejpam-5807	11	9	up	up	ADP
ejpam-5807	11	10	with	with	ADP
ejpam-5807	11	11	new	new	ADJ
ejpam-5807	11	12	techniques	technique	NOUN
ejpam-5807	11	13	to	to	PART
ejpam-5807	11	14	solve	solve	VERB
ejpam-5807	11	15	an	an	DET
ejpam-5807	11	16	ever	ever	ADV
ejpam-5807	11	17	-	-	PUNCT
ejpam-5807	11	18	growing	grow	VERB
ejpam-5807	11	19	class	class	NOUN
ejpam-5807	11	20	of	of	ADP
ejpam-5807	11	21	differential	differential	ADJ
ejpam-5807	11	22	equations	equation	NOUN
ejpam-5807	11	23	.	.	PUNCT
ejpam-5807	12	1	among	among	ADP
ejpam-5807	12	2	the	the	DET
ejpam-5807	12	3	innovative	innovative	ADJ
ejpam-5807	12	4	integral	integral	ADJ
ejpam-5807	12	5	transforms	transform	NOUN
ejpam-5807	12	6	emerging	emerge	VERB
ejpam-5807	12	7	in	in	ADP
ejpam-5807	12	8	recent	recent	ADJ
ejpam-5807	12	9	years	year	NOUN
ejpam-5807	12	10	are	be	AUX
ejpam-5807	12	11	the	the	DET
ejpam-5807	12	12	ara	ara	NOUN
ejpam-5807	12	13	and	and	CCONJ
ejpam-5807	12	14	sawi	sawi	ADJ
ejpam-5807	12	15	transforms	transform	VERB
ejpam-5807	12	16	.	.	PUNCT
ejpam-5807	13	1	the	the	DET
ejpam-5807	13	2	ara	ara	PROPN
ejpam-5807	13	3	transform	transform	NOUN
ejpam-5807	13	4	,	,	PUNCT
ejpam-5807	13	5	introduced	introduce	VERB
ejpam-5807	13	6	in	in	ADP
ejpam-5807	13	7	2020	2020	NUM
ejpam-5807	13	8	by	by	ADP
ejpam-5807	13	9	[	[	X
ejpam-5807	13	10	9	9	NUM
ejpam-5807	13	11	]	]	PUNCT
ejpam-5807	13	12	,	,	PUNCT
ejpam-5807	13	13	and	and	CCONJ
ejpam-5807	13	14	the	the	DET
ejpam-5807	13	15	sawi	sawi	PROPN
ejpam-5807	13	16	transform	transform	NOUN
ejpam-5807	13	17	,	,	PUNCT
ejpam-5807	13	18	∗corresponding	∗corresponde	VERB
ejpam-5807	13	19	author	author	NOUN
ejpam-5807	13	20	.	.	PUNCT
ejpam-5807	14	1	doi	doi	NOUN
ejpam-5807	14	2	:	:	PUNCT
ejpam-5807	14	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5807	https://doi.org/10.29020/nybg.ejpam.v18i1.5807	PROPN
ejpam-5807	14	4	email	email	NOUN
ejpam-5807	14	5	addresses	address	NOUN
ejpam-5807	14	6	:	:	PUNCT
ejpam-5807	14	7	rabuawwad@uop.edu.jo	rabuawwad@uop.edu.jo	NOUN
ejpam-5807	14	8	(	(	PUNCT
ejpam-5807	14	9	r.	r.	PROPN
ejpam-5807	14	10	abu	abu	PROPN
ejpam-5807	14	11	awwad	awwad	PROPN
ejpam-5807	14	12	)	)	PUNCT
ejpam-5807	14	13	montheralmomani72@gmail.com	montheralmomani72@gmail.com	PROPN
ejpam-5807	14	14	(	(	PUNCT
ejpam-5807	14	15	m.	m.	PROPN
ejpam-5807	14	16	al	al	PROPN
ejpam-5807	14	17	-	-	PUNCT
ejpam-5807	14	18	momani	momani	NOUN
ejpam-5807	14	19	)	)	PUNCT
ejpam-5807	14	20	,	,	PUNCT
ejpam-5807	14	21	a.jaradat@aau.edu.jo	a.jaradat@aau.edu.jo	PROPN
ejpam-5807	14	22	(	(	PUNCT
ejpam-5807	14	23	a.	a.	NOUN
ejpam-5807	14	24	jaradat	jaradat	PROPN
ejpam-5807	14	25	)	)	PUNCT
ejpam-5807	14	26	,	,	PUNCT
ejpam-5807	14	27	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-5807	14	28	(	(	PUNCT
ejpam-5807	14	29	b.	b.	PROPN
ejpam-5807	14	30	abughazaleh	abughazaleh	PROPN
ejpam-5807	14	31	)	)	PUNCT
ejpam-5807	14	32	,	,	PUNCT
ejpam-5807	14	33	ahmad.alnatoor@iu.edu.jo	ahmad.alnatoor@iu.edu.jo	NOUN
ejpam-5807	14	34	(	(	PUNCT
ejpam-5807	14	35	a.	a.	NOUN
ejpam-5807	14	36	al	al	PROPN
ejpam-5807	14	37	-	-	PUNCT
ejpam-5807	14	38	natoor	natoor	NOUN
ejpam-5807	14	39	)	)	PUNCT
ejpam-5807	14	40	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5807	14	41	1	1	NUM
ejpam-5807	14	42	copyright	copyright	NOUN
ejpam-5807	14	43	:	:	PUNCT
ejpam-5807	14	44	©	©	PROPN
ejpam-5807	14	45	2025	2025	NUM
ejpam-5807	14	46	the	the	DET
ejpam-5807	14	47	author(s	author(s	NOUN
ejpam-5807	14	48	)	)	PUNCT
ejpam-5807	14	49	.	.	PUNCT
ejpam-5807	15	1	(	(	PUNCT
ejpam-5807	15	2	cc	cc	NOUN
ejpam-5807	15	3	by	by	ADP
ejpam-5807	15	4	-	-	PUNCT
ejpam-5807	15	5	nc	nc	PROPN
ejpam-5807	15	6	4.0	4.0	NUM
ejpam-5807	15	7	)	)	PUNCT
ejpam-5807	15	8	r.	r.	PROPN
ejpam-5807	15	9	abu	abu	PROPN
ejpam-5807	15	10	awwad	awwad	PROPN
ejpam-5807	15	11	et	et	PROPN
ejpam-5807	15	12	al	al	PROPN
ejpam-5807	15	13	.	.	PUNCT
ejpam-5807	15	14	/	/	SYM
ejpam-5807	15	15	eur	eur	PROPN
ejpam-5807	15	16	.	.	PUNCT
ejpam-5807	16	1	j.	j.	PROPN
ejpam-5807	16	2	pure	pure	PROPN
ejpam-5807	16	3	appl	appl	PROPN
ejpam-5807	16	4	.	.	PROPN
ejpam-5807	16	5	math	math	PROPN
ejpam-5807	16	6	,	,	PUNCT
ejpam-5807	16	7	18	18	NUM
ejpam-5807	16	8	(	(	PUNCT
ejpam-5807	16	9	1	1	NUM
ejpam-5807	16	10	)	)	PUNCT
ejpam-5807	16	11	(	(	PUNCT
ejpam-5807	16	12	2025	2025	NUM
ejpam-5807	16	13	)	)	PUNCT
ejpam-5807	16	14	,	,	PUNCT
ejpam-5807	16	15	5807	5807	NUM
ejpam-5807	16	16	2	2	NUM
ejpam-5807	16	17	of	of	ADP
ejpam-5807	16	18	16	16	NUM
ejpam-5807	16	19	introduced	introduce	VERB
ejpam-5807	16	20	in	in	ADP
ejpam-5807	16	21	2021	2021	NUM
ejpam-5807	16	22	by	by	ADP
ejpam-5807	16	23	[	[	X
ejpam-5807	16	24	7	7	NUM
ejpam-5807	16	25	]	]	PUNCT
ejpam-5807	16	26	,	,	PUNCT
ejpam-5807	16	27	have	have	AUX
ejpam-5807	16	28	gained	gain	VERB
ejpam-5807	16	29	attention	attention	NOUN
ejpam-5807	16	30	for	for	ADP
ejpam-5807	16	31	their	their	PRON
ejpam-5807	16	32	unique	unique	ADJ
ejpam-5807	16	33	properties	property	NOUN
ejpam-5807	16	34	and	and	CCONJ
ejpam-5807	16	35	applications	application	NOUN
ejpam-5807	16	36	in	in	ADP
ejpam-5807	16	37	various	various	ADJ
ejpam-5807	16	38	fields	field	NOUN
ejpam-5807	16	39	.	.	PUNCT
ejpam-5807	17	1	additionally	additionally	ADV
ejpam-5807	17	2	,	,	PUNCT
ejpam-5807	17	3	there	there	PRON
ejpam-5807	17	4	exist	exist	VERB
ejpam-5807	17	5	several	several	ADJ
ejpam-5807	17	6	double	double	ADJ
ejpam-5807	17	7	transforms	transform	NOUN
ejpam-5807	17	8	designed	design	VERB
ejpam-5807	17	9	to	to	PART
ejpam-5807	17	10	handle	handle	VERB
ejpam-5807	17	11	multi	multi	ADJ
ejpam-5807	17	12	-	-	ADJ
ejpam-5807	17	13	variable	variable	ADJ
ejpam-5807	17	14	differential	differential	ADJ
ejpam-5807	17	15	equations	equation	NOUN
ejpam-5807	17	16	.	.	PUNCT
ejpam-5807	18	1	in	in	ADP
ejpam-5807	18	2	the	the	DET
ejpam-5807	18	3	broad	broad	ADJ
ejpam-5807	18	4	spectrum	spectrum	NOUN
ejpam-5807	18	5	of	of	ADP
ejpam-5807	18	6	double	double	ADJ
ejpam-5807	18	7	transforms	transform	NOUN
ejpam-5807	18	8	,	,	PUNCT
ejpam-5807	18	9	we	we	PRON
ejpam-5807	18	10	encounter	encounter	VERB
ejpam-5807	18	11	new	new	ADJ
ejpam-5807	18	12	methods	method	NOUN
ejpam-5807	18	13	to	to	PART
ejpam-5807	18	14	help	help	VERB
ejpam-5807	18	15	solve	solve	VERB
ejpam-5807	18	16	differential	differential	ADJ
ejpam-5807	18	17	equations	equation	NOUN
ejpam-5807	18	18	in	in	ADP
ejpam-5807	18	19	higher	high	ADJ
ejpam-5807	18	20	dimensions	dimension	NOUN
ejpam-5807	18	21	.	.	PUNCT
ejpam-5807	19	1	examples	example	NOUN
ejpam-5807	19	2	of	of	ADP
ejpam-5807	19	3	such	such	ADJ
ejpam-5807	19	4	double	double	ADJ
ejpam-5807	19	5	transforms	transform	NOUN
ejpam-5807	19	6	include	include	VERB
ejpam-5807	19	7	the	the	DET
ejpam-5807	19	8	double	double	ADJ
ejpam-5807	19	9	laplace	laplace	NOUN
ejpam-5807	19	10	transform	transform	NOUN
ejpam-5807	19	11	[	[	X
ejpam-5807	19	12	2	2	NUM
ejpam-5807	19	13	]	]	PUNCT
ejpam-5807	19	14	,	,	PUNCT
ejpam-5807	19	15	the	the	DET
ejpam-5807	19	16	double	double	ADJ
ejpam-5807	19	17	laplace	laplace	NOUN
ejpam-5807	19	18	ara	ara	PROPN
ejpam-5807	19	19	transform	transform	NOUN
ejpam-5807	19	20	[	[	X
ejpam-5807	19	21	10	10	NUM
ejpam-5807	19	22	]	]	PUNCT
ejpam-5807	19	23	,	,	PUNCT
ejpam-5807	19	24	double	double	ADJ
ejpam-5807	19	25	laplace	laplace	NOUN
ejpam-5807	19	26	-	-	PUNCT
ejpam-5807	19	27	sawi	sawi	NOUN
ejpam-5807	19	28	transform	transform	NOUN
ejpam-5807	19	29	[	[	X
ejpam-5807	19	30	3	3	NUM
ejpam-5807	19	31	]	]	PUNCT
ejpam-5807	19	32	,	,	PUNCT
ejpam-5807	19	33	the	the	DET
ejpam-5807	19	34	double	double	ADJ
ejpam-5807	19	35	laplace	laplace	NOUN
ejpam-5807	19	36	-	-	PUNCT
ejpam-5807	19	37	shehu	shehu	NOUN
ejpam-5807	19	38	transform	transform	NOUN
ejpam-5807	19	39	[	[	X
ejpam-5807	19	40	5	5	NUM
ejpam-5807	19	41	]	]	PUNCT
ejpam-5807	19	42	,	,	PUNCT
ejpam-5807	19	43	the	the	DET
ejpam-5807	19	44	double	double	ADJ
ejpam-5807	19	45	sawi	sawi	ADJ
ejpam-5807	19	46	transform	transform	NOUN
ejpam-5807	19	47	[	[	X
ejpam-5807	19	48	6	6	NUM
ejpam-5807	19	49	]	]	PUNCT
ejpam-5807	19	50	,	,	PUNCT
ejpam-5807	19	51	and	and	CCONJ
ejpam-5807	19	52	the	the	DET
ejpam-5807	19	53	double	double	ADJ
ejpam-5807	19	54	mellin	mellin	PROPN
ejpam-5807	19	55	-	-	PUNCT
ejpam-5807	19	56	ara	ara	NOUN
ejpam-5807	19	57	transform	transform	NOUN
ejpam-5807	19	58	[	[	X
ejpam-5807	19	59	1	1	NUM
ejpam-5807	19	60	]	]	PUNCT
ejpam-5807	19	61	.	.	PUNCT
ejpam-5807	20	1	in	in	ADP
ejpam-5807	20	2	the	the	DET
ejpam-5807	20	3	present	present	ADJ
ejpam-5807	20	4	work	work	NOUN
ejpam-5807	20	5	,	,	PUNCT
ejpam-5807	20	6	we	we	PRON
ejpam-5807	20	7	propose	propose	VERB
ejpam-5807	20	8	a	a	DET
ejpam-5807	20	9	new	new	ADJ
ejpam-5807	20	10	double	double	ADJ
ejpam-5807	20	11	transform	transform	NOUN
ejpam-5807	20	12	called	call	VERB
ejpam-5807	20	13	the	the	DET
ejpam-5807	20	14	double	double	ADJ
ejpam-5807	20	15	ara	ara	NOUN
ejpam-5807	20	16	-	-	PUNCT
ejpam-5807	20	17	sawi	sawi	ADJ
ejpam-5807	20	18	transform	transform	NOUN
ejpam-5807	20	19	(	(	PUNCT
ejpam-5807	20	20	da	da	NOUN
ejpam-5807	20	21	-	-	PUNCT
ejpam-5807	20	22	swt	swt	PROPN
ejpam-5807	20	23	)	)	PUNCT
ejpam-5807	20	24	aimed	aim	VERB
ejpam-5807	20	25	at	at	ADP
ejpam-5807	20	26	globalizing	globalize	VERB
ejpam-5807	20	27	differential	differential	ADJ
ejpam-5807	20	28	equation	equation	NOUN
ejpam-5807	20	29	analysis	analysis	NOUN
ejpam-5807	20	30	.	.	PUNCT
ejpam-5807	21	1	we	we	PRON
ejpam-5807	21	2	explore	explore	VERB
ejpam-5807	21	3	its	its	PRON
ejpam-5807	21	4	fundamental	fundamental	ADJ
ejpam-5807	21	5	properties	property	NOUN
ejpam-5807	21	6	,	,	PUNCT
ejpam-5807	21	7	characterize	characterize	VERB
ejpam-5807	21	8	the	the	DET
ejpam-5807	21	9	necessary	necessary	ADJ
ejpam-5807	21	10	conditions	condition	NOUN
ejpam-5807	21	11	for	for	ADP
ejpam-5807	21	12	its	its	PRON
ejpam-5807	21	13	existence	existence	NOUN
ejpam-5807	21	14	,	,	PUNCT
ejpam-5807	21	15	and	and	CCONJ
ejpam-5807	21	16	demonstrate	demonstrate	VERB
ejpam-5807	21	17	its	its	PRON
ejpam-5807	21	18	power	power	NOUN
ejpam-5807	21	19	in	in	ADP
ejpam-5807	21	20	convolution	convolution	NOUN
ejpam-5807	21	21	theory	theory	NOUN
ejpam-5807	21	22	and	and	CCONJ
ejpam-5807	21	23	derivative	derivative	ADJ
ejpam-5807	21	24	operations	operation	NOUN
ejpam-5807	21	25	.	.	PUNCT
ejpam-5807	22	1	by	by	ADP
ejpam-5807	22	2	applying	apply	VERB
ejpam-5807	22	3	this	this	DET
ejpam-5807	22	4	novel	novel	NOUN
ejpam-5807	22	5	transform	transform	NOUN
ejpam-5807	22	6	method	method	NOUN
ejpam-5807	22	7	,	,	PUNCT
ejpam-5807	22	8	we	we	PRON
ejpam-5807	22	9	present	present	VERB
ejpam-5807	22	10	new	new	ADJ
ejpam-5807	22	11	strategies	strategy	NOUN
ejpam-5807	22	12	for	for	ADP
ejpam-5807	22	13	dealing	deal	VERB
ejpam-5807	22	14	with	with	ADP
ejpam-5807	22	15	partial	partial	ADJ
ejpam-5807	22	16	differential	differential	ADJ
ejpam-5807	22	17	equations	equation	NOUN
ejpam-5807	22	18	and	and	CCONJ
ejpam-5807	22	19	integral	integral	ADJ
ejpam-5807	22	20	equations	equation	NOUN
ejpam-5807	22	21	.	.	PUNCT
ejpam-5807	23	1	the	the	DET
ejpam-5807	23	2	innovation	innovation	NOUN
ejpam-5807	23	3	in	in	ADP
ejpam-5807	23	4	this	this	DET
ejpam-5807	23	5	work	work	NOUN
ejpam-5807	23	6	lies	lie	VERB
ejpam-5807	23	7	in	in	ADP
ejpam-5807	23	8	the	the	DET
ejpam-5807	23	9	combination	combination	NOUN
ejpam-5807	23	10	of	of	ADP
ejpam-5807	23	11	the	the	DET
ejpam-5807	23	12	ara	ara	NOUN
ejpam-5807	23	13	and	and	CCONJ
ejpam-5807	23	14	sawi	sawi	PROPN
ejpam-5807	23	15	transforms	transform	VERB
ejpam-5807	23	16	,	,	PUNCT
ejpam-5807	23	17	creating	create	VERB
ejpam-5807	23	18	a	a	DET
ejpam-5807	23	19	new	new	ADJ
ejpam-5807	23	20	approach	approach	NOUN
ejpam-5807	23	21	that	that	PRON
ejpam-5807	23	22	combines	combine	VERB
ejpam-5807	23	23	the	the	DET
ejpam-5807	23	24	strengths	strength	NOUN
ejpam-5807	23	25	of	of	ADP
ejpam-5807	23	26	both	both	PRON
ejpam-5807	23	27	.	.	PUNCT
ejpam-5807	24	1	this	this	DET
ejpam-5807	24	2	combination	combination	NOUN
ejpam-5807	24	3	enhances	enhance	VERB
ejpam-5807	24	4	the	the	DET
ejpam-5807	24	5	simplicity	simplicity	NOUN
ejpam-5807	24	6	and	and	CCONJ
ejpam-5807	24	7	applicability	applicability	NOUN
ejpam-5807	24	8	of	of	ADP
ejpam-5807	24	9	addressing	address	VERB
ejpam-5807	24	10	complex	complex	ADJ
ejpam-5807	24	11	mathematical	mathematical	ADJ
ejpam-5807	24	12	problems	problem	NOUN
ejpam-5807	24	13	.	.	PUNCT
ejpam-5807	25	1	2	2	X
ejpam-5807	25	2	.	.	X
ejpam-5807	25	3	the	the	DET
ejpam-5807	25	4	ara	ara	PROPN
ejpam-5807	25	5	and	and	CCONJ
ejpam-5807	25	6	sawi	sawi	PROPN
ejpam-5807	25	7	transforms	transform	VERB
ejpam-5807	25	8	in	in	ADP
ejpam-5807	25	9	this	this	DET
ejpam-5807	25	10	section	section	NOUN
ejpam-5807	25	11	,	,	PUNCT
ejpam-5807	25	12	we	we	PRON
ejpam-5807	25	13	provide	provide	VERB
ejpam-5807	25	14	an	an	DET
ejpam-5807	25	15	overview	overview	NOUN
ejpam-5807	25	16	and	and	CCONJ
ejpam-5807	25	17	highlight	highlight	VERB
ejpam-5807	25	18	key	key	ADJ
ejpam-5807	25	19	properties	property	NOUN
ejpam-5807	25	20	of	of	ADP
ejpam-5807	25	21	the	the	DET
ejpam-5807	25	22	single	single	ADJ
ejpam-5807	25	23	transforms	transform	NOUN
ejpam-5807	25	24	,	,	PUNCT
ejpam-5807	25	25	namely	namely	ADV
ejpam-5807	25	26	the	the	DET
ejpam-5807	25	27	ara	ara	NOUN
ejpam-5807	25	28	and	and	CCONJ
ejpam-5807	25	29	sawi	sawi	PROPN
ejpam-5807	25	30	transforms	transform	VERB
ejpam-5807	25	31	.	.	PUNCT
ejpam-5807	26	1	2.1	2.1	NUM
ejpam-5807	26	2	.	.	PUNCT
ejpam-5807	27	1	the	the	DET
ejpam-5807	27	2	ara	ara	PROPN
ejpam-5807	27	3	transform	transform	VERB
ejpam-5807	27	4	definition	definition	NOUN
ejpam-5807	27	5	1	1	NUM
ejpam-5807	27	6	.	.	PUNCT
ejpam-5807	28	1	the	the	DET
ejpam-5807	28	2	ara	ara	PROPN
ejpam-5807	28	3	transform	transform	NOUN
ejpam-5807	28	4	of	of	ADP
ejpam-5807	28	5	order	order	NOUN
ejpam-5807	28	6	k	k	INTJ
ejpam-5807	28	7	of	of	ADP
ejpam-5807	28	8	a	a	DET
ejpam-5807	28	9	continuous	continuous	ADJ
ejpam-5807	28	10	function	function	NOUN
ejpam-5807	28	11	s(ν	s(ν	PROPN
ejpam-5807	28	12	)	)	PUNCT
ejpam-5807	28	13	on	on	ADP
ejpam-5807	28	14	the	the	DET
ejpam-5807	28	15	interval	interval	NOUN
ejpam-5807	28	16	(	(	PUNCT
ejpam-5807	28	17	0,∞	0,∞	NOUN
ejpam-5807	28	18	)	)	PUNCT
ejpam-5807	28	19	is	be	AUX
ejpam-5807	28	20	expressed	express	VERB
ejpam-5807	28	21	as	as	SCONJ
ejpam-5807	28	22	follows	follow	VERB
ejpam-5807	28	23	:	:	PUNCT
ejpam-5807	28	24	ak(s(ν))(ρ	ak(s(ν))(ρ	X
ejpam-5807	28	25	)	)	PUNCT
ejpam-5807	29	1	=	=	SYM
ejpam-5807	29	2	s(k	s(k	PROPN
ejpam-5807	29	3	,	,	PUNCT
ejpam-5807	29	4	ρ	ρ	NOUN
ejpam-5807	29	5	)	)	PUNCT
ejpam-5807	30	1	=	=	SYM
ejpam-5807	30	2	ρ	ρ	PROPN
ejpam-5807	30	3	∞∫	∞∫	PROPN
ejpam-5807	30	4	0	0	NUM
ejpam-5807	30	5	νk−1e−ρνs(ν)dν	νk−1e−ρνs(ν)dν	ADJ
ejpam-5807	30	6	,	,	PUNCT
ejpam-5807	30	7	ρ	ρ	PROPN
ejpam-5807	30	8	>	>	X
ejpam-5807	30	9	0	0	NUM
ejpam-5807	30	10	,	,	PUNCT
ejpam-5807	30	11	for	for	ADP
ejpam-5807	30	12	k	k	PROPN
ejpam-5807	30	13	=	=	SYM
ejpam-5807	30	14	1	1	NUM
ejpam-5807	30	15	,	,	PUNCT
ejpam-5807	30	16	2	2	NUM
ejpam-5807	30	17	,	,	PUNCT
ejpam-5807	30	18	3	3	NUM
ejpam-5807	30	19	,	,	PUNCT
ejpam-5807	30	20	....	....	PUNCT
ejpam-5807	31	1	in	in	ADP
ejpam-5807	31	2	particular	particular	ADJ
ejpam-5807	31	3	,	,	PUNCT
ejpam-5807	31	4	if	if	SCONJ
ejpam-5807	31	5	k	k	PROPN
ejpam-5807	31	6	=	=	SYM
ejpam-5807	31	7	1	1	NUM
ejpam-5807	31	8	,	,	PUNCT
ejpam-5807	31	9	the	the	DET
ejpam-5807	31	10	ara	ara	PROPN
ejpam-5807	31	11	transform	transform	NOUN
ejpam-5807	31	12	of	of	ADP
ejpam-5807	31	13	order	order	NOUN
ejpam-5807	31	14	1	1	NUM
ejpam-5807	31	15	is	be	AUX
ejpam-5807	31	16	expressed	express	VERB
ejpam-5807	31	17	as	as	ADP
ejpam-5807	31	18	a1(s(ν))(ρ	a1(s(ν))(ρ	PROPN
ejpam-5807	31	19	)	)	PUNCT
ejpam-5807	32	1	=	=	SYM
ejpam-5807	32	2	s(ρ	s(ρ	X
ejpam-5807	32	3	)	)	PUNCT
ejpam-5807	32	4	=	=	PROPN
ejpam-5807	32	5	ρ	ρ	PROPN
ejpam-5807	32	6	∞∫	∞∫	PROPN
ejpam-5807	32	7	0	0	NUM
ejpam-5807	32	8	e−ρνs(ν	e−ρνs(ν	NUM
ejpam-5807	32	9	)	)	PUNCT
ejpam-5807	32	10	dν	dν	PROPN
ejpam-5807	32	11	,	,	PUNCT
ejpam-5807	32	12	ρ	ρ	X
ejpam-5807	32	13	>	>	X
ejpam-5807	32	14	0	0	NUM
ejpam-5807	32	15	.	.	PUNCT
ejpam-5807	33	1	in	in	ADP
ejpam-5807	33	2	the	the	DET
ejpam-5807	33	3	rest	rest	NOUN
ejpam-5807	33	4	of	of	ADP
ejpam-5807	33	5	the	the	DET
ejpam-5807	33	6	study	study	NOUN
ejpam-5807	33	7	,	,	PUNCT
ejpam-5807	33	8	we	we	PRON
ejpam-5807	33	9	denote	denote	VERB
ejpam-5807	33	10	a1(s(ν))(ρ	a1(s(ν))(ρ	PROPN
ejpam-5807	33	11	)	)	PUNCT
ejpam-5807	33	12	by	by	ADP
ejpam-5807	33	13	a(s(ν))(ρ	a(s(ν))(ρ	NOUN
ejpam-5807	33	14	)	)	PUNCT
ejpam-5807	33	15	.	.	PUNCT
ejpam-5807	34	1	some	some	DET
ejpam-5807	34	2	basic	basic	ADJ
ejpam-5807	34	3	properties	property	NOUN
ejpam-5807	34	4	of	of	ADP
ejpam-5807	34	5	the	the	DET
ejpam-5807	34	6	ara	ara	PROPN
ejpam-5807	34	7	transform	transform	NOUN
ejpam-5807	34	8	are	be	AUX
ejpam-5807	34	9	now	now	ADV
ejpam-5807	34	10	given	give	VERB
ejpam-5807	34	11	.	.	PUNCT
ejpam-5807	35	1	let	let	VERB
ejpam-5807	35	2	s(ρ	s(ρ	PROPN
ejpam-5807	35	3	)	)	PUNCT
ejpam-5807	35	4	=	=	SYM
ejpam-5807	35	5	a(s(ν	a(s(ν	PROPN
ejpam-5807	35	6	)	)	PUNCT
ejpam-5807	35	7	)	)	PUNCT
ejpam-5807	35	8	,	,	PUNCT
ejpam-5807	35	9	then	then	ADV
ejpam-5807	35	10	for	for	ADP
ejpam-5807	35	11	nonzero	nonzero	PROPN
ejpam-5807	35	12	constants	constant	NOUN
ejpam-5807	35	13	γ	γ	PROPN
ejpam-5807	35	14	and	and	CCONJ
ejpam-5807	35	15	δ	δ	PROPN
ejpam-5807	35	16	,	,	PUNCT
ejpam-5807	35	17	we	we	PRON
ejpam-5807	35	18	have	have	VERB
ejpam-5807	35	19	a(γs1(ν	a(γs1(ν	NUM
ejpam-5807	35	20	)	)	PUNCT
ejpam-5807	35	21	+	+	NUM
ejpam-5807	35	22	δs2(ν	δs2(ν	NOUN
ejpam-5807	35	23	)	)	PUNCT
ejpam-5807	35	24	)	)	PUNCT
ejpam-5807	36	1	=	=	PUNCT
ejpam-5807	36	2	γa(s1(ν	γa(s1(ν	PROPN
ejpam-5807	36	3	)	)	PUNCT
ejpam-5807	36	4	)	)	PUNCT
ejpam-5807	37	1	+	+	CCONJ
ejpam-5807	37	2	δa(s2(ν	δa(s2(ν	NUM
ejpam-5807	37	3	)	)	PUNCT
ejpam-5807	37	4	)	)	PUNCT
ejpam-5807	37	5	,	,	PUNCT
ejpam-5807	37	6	(	(	PUNCT
ejpam-5807	37	7	1	1	X
ejpam-5807	37	8	)	)	PUNCT
ejpam-5807	37	9	where	where	SCONJ
ejpam-5807	37	10	s1(ν	s1(ν	X
ejpam-5807	37	11	)	)	PUNCT
ejpam-5807	37	12	and	and	CCONJ
ejpam-5807	37	13	s2(ν	s2(ν	NOUN
ejpam-5807	37	14	)	)	PUNCT
ejpam-5807	37	15	are	be	AUX
ejpam-5807	37	16	continuous	continuous	ADJ
ejpam-5807	37	17	functions	function	NOUN
ejpam-5807	37	18	on	on	ADP
ejpam-5807	37	19	(	(	PUNCT
ejpam-5807	37	20	0,∞	0,∞	NUM
ejpam-5807	37	21	)	)	PUNCT
ejpam-5807	37	22	.	.	PUNCT
ejpam-5807	38	1	r.	r.	PROPN
ejpam-5807	38	2	abu	abu	PROPN
ejpam-5807	38	3	awwad	awwad	PROPN
ejpam-5807	38	4	et	et	PROPN
ejpam-5807	38	5	al	al	PROPN
ejpam-5807	38	6	.	.	PUNCT
ejpam-5807	38	7	/	/	SYM
ejpam-5807	38	8	eur	eur	PROPN
ejpam-5807	38	9	.	.	PUNCT
ejpam-5807	39	1	j.	j.	PROPN
ejpam-5807	39	2	pure	pure	PROPN
ejpam-5807	39	3	appl	appl	PROPN
ejpam-5807	39	4	.	.	PROPN
ejpam-5807	39	5	math	math	PROPN
ejpam-5807	39	6	,	,	PUNCT
ejpam-5807	39	7	18	18	NUM
ejpam-5807	39	8	(	(	PUNCT
ejpam-5807	39	9	1	1	NUM
ejpam-5807	39	10	)	)	PUNCT
ejpam-5807	39	11	(	(	PUNCT
ejpam-5807	39	12	2025	2025	NUM
ejpam-5807	39	13	)	)	PUNCT
ejpam-5807	39	14	,	,	PUNCT
ejpam-5807	39	15	5807	5807	NUM
ejpam-5807	39	16	3	3	NUM
ejpam-5807	39	17	of	of	ADP
ejpam-5807	39	18	16	16	NUM
ejpam-5807	39	19	a(νγ	a(νγ	NOUN
ejpam-5807	39	20	)	)	PUNCT
ejpam-5807	39	21	=	=	PUNCT
ejpam-5807	40	1	γ(γ	γ(γ	PROPN
ejpam-5807	40	2	+	+	CCONJ
ejpam-5807	40	3	1	1	X
ejpam-5807	40	4	)	)	PUNCT
ejpam-5807	40	5	ργ	ργ	PUNCT
ejpam-5807	40	6	,	,	PUNCT
ejpam-5807	40	7	(	(	PUNCT
ejpam-5807	40	8	2	2	X
ejpam-5807	40	9	)	)	PUNCT
ejpam-5807	40	10	a(eγν	a(eγν	PROPN
ejpam-5807	40	11	)	)	PUNCT
ejpam-5807	40	12	=	=	SYM
ejpam-5807	41	1	ρ	ρ	NUM
ejpam-5807	41	2	ρ−	ρ−	PROPN
ejpam-5807	41	3	γ	γ	X
ejpam-5807	41	4	,	,	PUNCT
ejpam-5807	41	5	γ	γ	PROPN
ejpam-5807	41	6	∈	∈	PROPN
ejpam-5807	41	7	r	r	NOUN
ejpam-5807	41	8	,	,	PUNCT
ejpam-5807	41	9	(	(	PUNCT
ejpam-5807	41	10	3	3	X
ejpam-5807	41	11	)	)	PUNCT
ejpam-5807	41	12	a(s′(ν	a(s′(ν	PROPN
ejpam-5807	41	13	)	)	PUNCT
ejpam-5807	41	14	)	)	PUNCT
ejpam-5807	42	1	=	=	SYM
ejpam-5807	43	1	ρs(ρ)−	ρs(ρ)−	PROPN
ejpam-5807	43	2	ρs(0	ρs(0	PROPN
ejpam-5807	43	3	)	)	PUNCT
ejpam-5807	43	4	,	,	PUNCT
ejpam-5807	43	5	(	(	PUNCT
ejpam-5807	43	6	4	4	X
ejpam-5807	43	7	)	)	PUNCT
ejpam-5807	43	8	a(s′′(ν	a(s′′(ν	PROPN
ejpam-5807	43	9	)	)	PUNCT
ejpam-5807	43	10	)	)	PUNCT
ejpam-5807	43	11	=	=	SYM
ejpam-5807	44	1	ρ2s(ρ)−	ρ2s(ρ)−	PROPN
ejpam-5807	44	2	ρ2s(0)−	ρ2s(0)−	NUM
ejpam-5807	44	3	ρs′(0	ρs′(0	NOUN
ejpam-5807	44	4	)	)	PUNCT
ejpam-5807	44	5	.	.	PUNCT
ejpam-5807	45	1	(	(	PUNCT
ejpam-5807	45	2	5	5	X
ejpam-5807	45	3	)	)	PUNCT
ejpam-5807	45	4	2.2	2.2	NUM
ejpam-5807	45	5	.	.	PUNCT
ejpam-5807	46	1	the	the	DET
ejpam-5807	46	2	sawi	sawi	ADJ
ejpam-5807	46	3	transform	transform	NOUN
ejpam-5807	46	4	definition	definition	NOUN
ejpam-5807	46	5	2	2	NUM
ejpam-5807	46	6	.	.	PUNCT
ejpam-5807	47	1	the	the	DET
ejpam-5807	47	2	sawi	sawi	ADJ
ejpam-5807	47	3	transform	transform	NOUN
ejpam-5807	47	4	of	of	ADP
ejpam-5807	47	5	a	a	DET
ejpam-5807	47	6	continuous	continuous	ADJ
ejpam-5807	47	7	function	function	NOUN
ejpam-5807	47	8	r(σ	r(σ	PROPN
ejpam-5807	47	9	)	)	PUNCT
ejpam-5807	47	10	on	on	ADP
ejpam-5807	47	11	(	(	PUNCT
ejpam-5807	47	12	0,∞	0,∞	NOUN
ejpam-5807	47	13	)	)	PUNCT
ejpam-5807	47	14	expressed	express	VERB
ejpam-5807	47	15	as	as	SCONJ
ejpam-5807	47	16	follows	follow	VERB
ejpam-5807	47	17	r(ϖ	r(ϖ	PROPN
ejpam-5807	47	18	)	)	PUNCT
ejpam-5807	48	1	=	=	SYM
ejpam-5807	48	2	w	w	PROPN
ejpam-5807	48	3	(	(	PUNCT
ejpam-5807	48	4	r(σ	r(σ	PROPN
ejpam-5807	48	5	)	)	PUNCT
ejpam-5807	48	6	)	)	PUNCT
ejpam-5807	49	1	=	=	SYM
ejpam-5807	49	2	1	1	NUM
ejpam-5807	49	3	ϖ2	ϖ2	NOUN
ejpam-5807	49	4	∞∫	∞∫	PROPN
ejpam-5807	49	5	0	0	NUM
ejpam-5807	50	1	e−	e−	PROPN
ejpam-5807	50	2	σ	σ	NOUN
ejpam-5807	50	3	ϖ	ϖ	X
ejpam-5807	50	4	r(σ)dσ	r(σ)dσ	PROPN
ejpam-5807	50	5	,	,	PUNCT
ejpam-5807	50	6	ϖ	ϖ	INTJ
ejpam-5807	50	7	>	>	X
ejpam-5807	50	8	0	0	X
ejpam-5807	50	9	.	.	PUNCT
ejpam-5807	51	1	let	let	VERB
ejpam-5807	51	2	us	we	PRON
ejpam-5807	51	3	now	now	ADV
ejpam-5807	51	4	explore	explore	VERB
ejpam-5807	51	5	the	the	DET
ejpam-5807	51	6	core	core	NOUN
ejpam-5807	51	7	properties	property	NOUN
ejpam-5807	51	8	that	that	PRON
ejpam-5807	51	9	define	define	VERB
ejpam-5807	51	10	the	the	DET
ejpam-5807	51	11	sawi	sawi	ADJ
ejpam-5807	51	12	transform	transform	NOUN
ejpam-5807	51	13	.	.	PUNCT
ejpam-5807	52	1	suppose	suppose	VERB
ejpam-5807	52	2	that	that	SCONJ
ejpam-5807	52	3	r1(ϖ	r1(ϖ	PROPN
ejpam-5807	52	4	)	)	PUNCT
ejpam-5807	52	5	=	=	SYM
ejpam-5807	52	6	w	w	PROPN
ejpam-5807	52	7	(	(	PUNCT
ejpam-5807	52	8	r1(σ	r1(σ	PROPN
ejpam-5807	52	9	)	)	PUNCT
ejpam-5807	52	10	)	)	PUNCT
ejpam-5807	52	11	and	and	CCONJ
ejpam-5807	52	12	r2(ϖ	r2(ϖ	NUM
ejpam-5807	52	13	)	)	PUNCT
ejpam-5807	52	14	=	=	SYM
ejpam-5807	52	15	w	w	PROPN
ejpam-5807	52	16	(	(	PUNCT
ejpam-5807	52	17	r2(σ)),with	r2(σ)),with	ADJ
ejpam-5807	52	18	γ	γ	PROPN
ejpam-5807	52	19	and	and	CCONJ
ejpam-5807	52	20	δ	δ	PROPN
ejpam-5807	52	21	as	as	ADP
ejpam-5807	52	22	nonzero	nonzero	ADJ
ejpam-5807	52	23	real	real	ADJ
ejpam-5807	52	24	numbers	number	NOUN
ejpam-5807	52	25	,	,	PUNCT
ejpam-5807	52	26	the	the	DET
ejpam-5807	52	27	following	follow	VERB
ejpam-5807	52	28	properties	property	NOUN
ejpam-5807	52	29	hold	hold	VERB
ejpam-5807	52	30	w	w	PROPN
ejpam-5807	52	31	(	(	PUNCT
ejpam-5807	52	32	γr1(σ	γr1(σ	PROPN
ejpam-5807	52	33	)	)	PUNCT
ejpam-5807	52	34	+	+	CCONJ
ejpam-5807	53	1	δr2(σ	δr2(σ	NOUN
ejpam-5807	53	2	)	)	PUNCT
ejpam-5807	53	3	)	)	PUNCT
ejpam-5807	54	1	=	=	PRON
ejpam-5807	54	2	γw	γw	X
ejpam-5807	54	3	(	(	PUNCT
ejpam-5807	54	4	r1(σ	r1(σ	PROPN
ejpam-5807	54	5	)	)	PUNCT
ejpam-5807	54	6	)	)	PUNCT
ejpam-5807	55	1	+	+	CCONJ
ejpam-5807	55	2	δw	δw	INTJ
ejpam-5807	55	3	(	(	PUNCT
ejpam-5807	55	4	r2(σ	r2(σ	NOUN
ejpam-5807	55	5	)	)	PUNCT
ejpam-5807	55	6	)	)	PUNCT
ejpam-5807	55	7	,	,	PUNCT
ejpam-5807	55	8	(	(	PUNCT
ejpam-5807	55	9	6	6	NUM
ejpam-5807	55	10	)	)	PUNCT
ejpam-5807	55	11	w	w	NOUN
ejpam-5807	55	12	(	(	PUNCT
ejpam-5807	55	13	σγ	σγ	NOUN
ejpam-5807	55	14	)	)	PUNCT
ejpam-5807	55	15	=	=	SYM
ejpam-5807	55	16	γ(γ	γ(γ	PROPN
ejpam-5807	55	17	+	+	CCONJ
ejpam-5807	55	18	1)ϖγ−1	1)ϖγ−1	NUM
ejpam-5807	55	19	,	,	PUNCT
ejpam-5807	55	20	(	(	PUNCT
ejpam-5807	55	21	7	7	X
ejpam-5807	55	22	)	)	PUNCT
ejpam-5807	55	23	w	w	NOUN
ejpam-5807	55	24	(	(	PUNCT
ejpam-5807	55	25	eδσ	eδσ	NOUN
ejpam-5807	55	26	)	)	PUNCT
ejpam-5807	55	27	=	=	SYM
ejpam-5807	55	28	1	1	NUM
ejpam-5807	55	29	ϖ	ϖ	X
ejpam-5807	55	30	(	(	PUNCT
ejpam-5807	55	31	1−	1−	NUM
ejpam-5807	55	32	δϖ	δϖ	ADP
ejpam-5807	55	33	)	)	PUNCT
ejpam-5807	55	34	,	,	PUNCT
ejpam-5807	55	35	(	(	PUNCT
ejpam-5807	55	36	8)	8)	NUM
ejpam-5807	55	37	w	w	NOUN
ejpam-5807	55	38	(	(	PUNCT
ejpam-5807	55	39	r′(σ	r′(σ	NUM
ejpam-5807	55	40	)	)	PUNCT
ejpam-5807	55	41	)	)	PUNCT
ejpam-5807	56	1	=	=	SYM
ejpam-5807	56	2	1	1	NUM
ejpam-5807	56	3	ϖ	ϖ	X
ejpam-5807	56	4	r(ϖ)−	r(ϖ)−	ADP
ejpam-5807	56	5	1	1	NUM
ejpam-5807	56	6	ϖ2	ϖ2	NOUN
ejpam-5807	56	7	r(0	r(0	PROPN
ejpam-5807	56	8	)	)	PUNCT
ejpam-5807	56	9	,	,	PUNCT
ejpam-5807	56	10	(	(	PUNCT
ejpam-5807	56	11	9	9	X
ejpam-5807	56	12	)	)	PUNCT
ejpam-5807	56	13	w	w	NOUN
ejpam-5807	56	14	(	(	PUNCT
ejpam-5807	56	15	r′′(σ	r′′(σ	NOUN
ejpam-5807	56	16	)	)	PUNCT
ejpam-5807	56	17	)	)	PUNCT
ejpam-5807	57	1	=	=	SYM
ejpam-5807	57	2	1	1	NUM
ejpam-5807	57	3	ϖ2	ϖ2	NOUN
ejpam-5807	57	4	r(ϖ)−	r(ϖ)−	ADP
ejpam-5807	57	5	1	1	NUM
ejpam-5807	57	6	ϖ3	ϖ3	VERB
ejpam-5807	57	7	r(0)−	r(0)−	NOUN
ejpam-5807	57	8	1	1	NUM
ejpam-5807	57	9	ϖ2	ϖ2	NOUN
ejpam-5807	57	10	r′(0	r′(0	PROPN
ejpam-5807	57	11	)	)	PUNCT
ejpam-5807	57	12	.	.	PUNCT
ejpam-5807	58	1	(	(	PUNCT
ejpam-5807	58	2	10	10	NUM
ejpam-5807	58	3	)	)	PUNCT
ejpam-5807	58	4	3	3	NUM
ejpam-5807	58	5	.	.	X
ejpam-5807	58	6	double	double	ADJ
ejpam-5807	58	7	ara	ara	NOUN
ejpam-5807	58	8	-	-	PUNCT
ejpam-5807	58	9	sawi	sawi	NOUN
ejpam-5807	58	10	transform	transform	NOUN
ejpam-5807	58	11	this	this	DET
ejpam-5807	58	12	section	section	NOUN
ejpam-5807	58	13	announces	announce	VERB
ejpam-5807	58	14	the	the	DET
ejpam-5807	58	15	double	double	ADJ
ejpam-5807	58	16	ara	ara	NOUN
ejpam-5807	58	17	-	-	PUNCT
ejpam-5807	58	18	sawi	sawi	ADJ
ejpam-5807	58	19	transformation	transformation	NOUN
ejpam-5807	58	20	(	(	PUNCT
ejpam-5807	58	21	da	da	NOUN
ejpam-5807	58	22	-	-	PUNCT
ejpam-5807	58	23	swt	swt	NOUN
ejpam-5807	58	24	)	)	PUNCT
ejpam-5807	58	25	.	.	PUNCT
ejpam-5807	59	1	we	we	PRON
ejpam-5807	59	2	start	start	VERB
ejpam-5807	59	3	by	by	ADP
ejpam-5807	59	4	stating	state	VERB
ejpam-5807	59	5	the	the	DET
ejpam-5807	59	6	basic	basic	ADJ
ejpam-5807	59	7	properties	property	NOUN
ejpam-5807	59	8	of	of	ADP
ejpam-5807	59	9	the	the	DET
ejpam-5807	59	10	da	da	PROPN
ejpam-5807	59	11	-	-	PUNCT
ejpam-5807	59	12	swt	swt	PROPN
ejpam-5807	59	13	,	,	PUNCT
ejpam-5807	59	14	such	such	ADJ
ejpam-5807	59	15	as	as	ADP
ejpam-5807	59	16	linearity	linearity	NOUN
ejpam-5807	59	17	.	.	PUNCT
ejpam-5807	60	1	then	then	ADV
ejpam-5807	60	2	we	we	PRON
ejpam-5807	60	3	state	state	VERB
ejpam-5807	60	4	a	a	DET
ejpam-5807	60	5	new	new	ADJ
ejpam-5807	60	6	result	result	NOUN
ejpam-5807	60	7	regarding	regard	VERB
ejpam-5807	60	8	the	the	DET
ejpam-5807	60	9	partial	partial	ADJ
ejpam-5807	60	10	derivatives	derivative	NOUN
ejpam-5807	60	11	and	and	CCONJ
ejpam-5807	60	12	another	another	DET
ejpam-5807	60	13	new	new	ADJ
ejpam-5807	60	14	result	result	NOUN
ejpam-5807	60	15	regarding	regard	VERB
ejpam-5807	60	16	the	the	DET
ejpam-5807	60	17	convolution	convolution	NOUN
ejpam-5807	60	18	r.	r.	PROPN
ejpam-5807	60	19	abu	abu	PROPN
ejpam-5807	60	20	awwad	awwad	PROPN
ejpam-5807	60	21	et	et	PROPN
ejpam-5807	60	22	al	al	PROPN
ejpam-5807	60	23	.	.	PUNCT
ejpam-5807	60	24	/	/	SYM
ejpam-5807	60	25	eur	eur	PROPN
ejpam-5807	60	26	.	.	PUNCT
ejpam-5807	61	1	j.	j.	PROPN
ejpam-5807	61	2	pure	pure	PROPN
ejpam-5807	61	3	appl	appl	PROPN
ejpam-5807	61	4	.	.	PROPN
ejpam-5807	61	5	math	math	PROPN
ejpam-5807	61	6	,	,	PUNCT
ejpam-5807	61	7	18	18	NUM
ejpam-5807	61	8	(	(	PUNCT
ejpam-5807	61	9	1	1	NUM
ejpam-5807	61	10	)	)	PUNCT
ejpam-5807	61	11	(	(	PUNCT
ejpam-5807	61	12	2025	2025	NUM
ejpam-5807	61	13	)	)	PUNCT
ejpam-5807	61	14	,	,	PUNCT
ejpam-5807	61	15	5807	5807	NUM
ejpam-5807	61	16	4	4	NUM
ejpam-5807	61	17	of	of	ADP
ejpam-5807	61	18	16	16	NUM
ejpam-5807	61	19	theorem	theorem	VERB
ejpam-5807	61	20	.	.	PUNCT
ejpam-5807	62	1	we	we	PRON
ejpam-5807	62	2	also	also	ADV
ejpam-5807	62	3	state	state	VERB
ejpam-5807	62	4	how	how	SCONJ
ejpam-5807	62	5	we	we	PRON
ejpam-5807	62	6	use	use	VERB
ejpam-5807	62	7	these	these	DET
ejpam-5807	62	8	results	result	NOUN
ejpam-5807	62	9	to	to	PART
ejpam-5807	62	10	compute	compute	VERB
ejpam-5807	62	11	the	the	DET
ejpam-5807	62	12	da	da	PROPN
ejpam-5807	62	13	-	-	PUNCT
ejpam-5807	62	14	swt	swt	PROPN
ejpam-5807	62	15	of	of	ADP
ejpam-5807	62	16	some	some	DET
ejpam-5807	62	17	basic	basic	ADJ
ejpam-5807	62	18	functions	function	NOUN
ejpam-5807	62	19	.	.	PUNCT
ejpam-5807	63	1	the	the	DET
ejpam-5807	63	2	definition	definition	NOUN
ejpam-5807	63	3	of	of	ADP
ejpam-5807	63	4	the	the	DET
ejpam-5807	63	5	da	da	PROPN
ejpam-5807	63	6	-	-	PUNCT
ejpam-5807	63	7	swt	swt	PROPN
ejpam-5807	63	8	is	be	AUX
ejpam-5807	63	9	:	:	PUNCT
ejpam-5807	63	10	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	63	11	)	)	PUNCT
ejpam-5807	63	12	=	=	SYM
ejpam-5807	63	13	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	63	14	,	,	PUNCT
ejpam-5807	63	15	σ	σ	PROPN
ejpam-5807	63	16	)	)	PUNCT
ejpam-5807	63	17	)	)	PUNCT
ejpam-5807	64	1	=	=	PUNCT
ejpam-5807	64	2	λ	λ	PROPN
ejpam-5807	64	3	ϖ2	ϖ2	PROPN
ejpam-5807	64	4	∞∫	∞∫	PROPN
ejpam-5807	64	5	0	0	NUM
ejpam-5807	65	1	∞∫	∞∫	PROPN
ejpam-5807	65	2	0	0	PUNCT
ejpam-5807	65	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	65	4	σ	σ	X
ejpam-5807	65	5	ϖ	ϖ	X
ejpam-5807	65	6	g(ρ	g(ρ	PROPN
ejpam-5807	65	7	,	,	PUNCT
ejpam-5807	65	8	σ	σ	PROPN
ejpam-5807	65	9	)	)	PUNCT
ejpam-5807	65	10	dρdσ	dρdσ	PROPN
ejpam-5807	65	11	,	,	PUNCT
ejpam-5807	65	12	(	(	PUNCT
ejpam-5807	65	13	11	11	NUM
ejpam-5807	65	14	)	)	PUNCT
ejpam-5807	65	15	where	where	SCONJ
ejpam-5807	65	16	g(ρ	g(ρ	PROPN
ejpam-5807	65	17	,	,	PUNCT
ejpam-5807	65	18	σ	σ	PROPN
ejpam-5807	65	19	)	)	PUNCT
ejpam-5807	65	20	is	be	AUX
ejpam-5807	65	21	a	a	DET
ejpam-5807	65	22	continuous	continuous	ADJ
ejpam-5807	65	23	function	function	NOUN
ejpam-5807	65	24	on	on	ADP
ejpam-5807	65	25	(	(	PUNCT
ejpam-5807	65	26	0,∞)×	0,∞)×	NUM
ejpam-5807	65	27	(	(	PUNCT
ejpam-5807	65	28	0,∞	0,∞	NUM
ejpam-5807	65	29	)	)	PUNCT
ejpam-5807	65	30	.	.	PUNCT
ejpam-5807	66	1	clearly	clearly	ADV
ejpam-5807	66	2	,	,	PUNCT
ejpam-5807	66	3	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	66	4	,	,	PUNCT
ejpam-5807	66	5	σ	σ	PROPN
ejpam-5807	66	6	)	)	PUNCT
ejpam-5807	66	7	)	)	PUNCT
ejpam-5807	66	8	is	be	AUX
ejpam-5807	66	9	linear	linear	ADJ
ejpam-5807	66	10	transformation	transformation	NOUN
ejpam-5807	66	11	.	.	PUNCT
ejpam-5807	67	1	in	in	ADP
ejpam-5807	67	2	fact	fact	NOUN
ejpam-5807	67	3	,	,	PUNCT
ejpam-5807	67	4	for	for	ADP
ejpam-5807	67	5	nonzero	nonzero	PROPN
ejpam-5807	67	6	constants	constant	NOUN
ejpam-5807	67	7	γ	γ	PROPN
ejpam-5807	67	8	and	and	CCONJ
ejpam-5807	67	9	δ	δ	PROPN
ejpam-5807	67	10	,	,	PUNCT
ejpam-5807	67	11	we	we	PRON
ejpam-5807	67	12	have	have	VERB
ejpam-5807	67	13	aρwσ(γg1(ρ	aρwσ(γg1(ρ	PROPN
ejpam-5807	67	14	,	,	PUNCT
ejpam-5807	67	15	σ)+δg2(ρ	σ)+δg2(ρ	PROPN
ejpam-5807	67	16	,	,	PUNCT
ejpam-5807	67	17	σ	σ	PROPN
ejpam-5807	67	18	)	)	PUNCT
ejpam-5807	67	19	)	)	PUNCT
ejpam-5807	68	1	=	=	PUNCT
ejpam-5807	68	2	λ	λ	PROPN
ejpam-5807	68	3	ϖ2	ϖ2	PROPN
ejpam-5807	68	4	∞∫	∞∫	PROPN
ejpam-5807	68	5	0	0	NUM
ejpam-5807	69	1	∞∫	∞∫	PROPN
ejpam-5807	69	2	0	0	PUNCT
ejpam-5807	69	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	69	4	σ	σ	PROPN
ejpam-5807	69	5	ϖ	ϖ	INTJ
ejpam-5807	69	6	(	(	PUNCT
ejpam-5807	69	7	γg1(ρ	γg1(ρ	PROPN
ejpam-5807	69	8	,	,	PUNCT
ejpam-5807	69	9	σ	σ	PROPN
ejpam-5807	69	10	)	)	PUNCT
ejpam-5807	69	11	+	+	CCONJ
ejpam-5807	70	1	δg2(ρ	δg2(ρ	PROPN
ejpam-5807	70	2	,	,	PUNCT
ejpam-5807	70	3	σ	σ	PROPN
ejpam-5807	70	4	)	)	PUNCT
ejpam-5807	70	5	)	)	PUNCT
ejpam-5807	70	6	dρdσ	dρdσ	VERB
ejpam-5807	71	1	=	=	PUNCT
ejpam-5807	71	2	γ	γ	X
ejpam-5807	71	3	λ	λ	PROPN
ejpam-5807	71	4	ϖ2	ϖ2	PROPN
ejpam-5807	71	5	∞∫	∞∫	PROPN
ejpam-5807	71	6	0	0	NUM
ejpam-5807	71	7	∞∫	∞∫	PROPN
ejpam-5807	71	8	0	0	PUNCT
ejpam-5807	71	9	e−λρ−	e−λρ−	PROPN
ejpam-5807	71	10	σ	σ	PROPN
ejpam-5807	71	11	ϖ	ϖ	X
ejpam-5807	71	12	g1(ρ	g1(ρ	PROPN
ejpam-5807	71	13	,	,	PUNCT
ejpam-5807	71	14	σ	σ	PROPN
ejpam-5807	71	15	)	)	PUNCT
ejpam-5807	71	16	dρdσ	dρdσ	VERB
ejpam-5807	72	1	+	+	CCONJ
ejpam-5807	72	2	δ	δ	PROPN
ejpam-5807	72	3	λ	λ	PROPN
ejpam-5807	72	4	ϖ2	ϖ2	PROPN
ejpam-5807	72	5	∞∫	∞∫	PROPN
ejpam-5807	72	6	0	0	NUM
ejpam-5807	73	1	∞∫	∞∫	PROPN
ejpam-5807	73	2	0	0	PUNCT
ejpam-5807	73	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	73	4	σ	σ	PROPN
ejpam-5807	73	5	ϖ	ϖ	PROPN
ejpam-5807	73	6	g2(ρ	g2(ρ	PROPN
ejpam-5807	73	7	,	,	PUNCT
ejpam-5807	73	8	σ	σ	PROPN
ejpam-5807	73	9	)	)	PUNCT
ejpam-5807	73	10	dρdσ	dρdσ	VERB
ejpam-5807	73	11	=	=	SYM
ejpam-5807	73	12	γaρwσ(g1(ρ	γaρwσ(g1(ρ	PROPN
ejpam-5807	73	13	,	,	PUNCT
ejpam-5807	73	14	σ	σ	NOUN
ejpam-5807	73	15	)	)	PUNCT
ejpam-5807	73	16	)	)	PUNCT
ejpam-5807	74	1	+	+	CCONJ
ejpam-5807	74	2	δaρwσ(g2(ρ	δaρwσ(g2(ρ	PROPN
ejpam-5807	74	3	,	,	PUNCT
ejpam-5807	74	4	σ	σ	PROPN
ejpam-5807	74	5	)	)	PUNCT
ejpam-5807	74	6	)	)	PUNCT
ejpam-5807	74	7	.	.	PUNCT
ejpam-5807	75	1	if	if	SCONJ
ejpam-5807	75	2	g(ρ	g(ρ	PROPN
ejpam-5807	75	3	,	,	PUNCT
ejpam-5807	75	4	σ	σ	PROPN
ejpam-5807	75	5	)	)	PUNCT
ejpam-5807	75	6	can	can	AUX
ejpam-5807	75	7	be	be	AUX
ejpam-5807	75	8	written	write	VERB
ejpam-5807	75	9	as	as	ADP
ejpam-5807	75	10	g(ρ	g(ρ	PROPN
ejpam-5807	75	11	,	,	PUNCT
ejpam-5807	75	12	σ	σ	PROPN
ejpam-5807	75	13	)	)	PUNCT
ejpam-5807	75	14	=	=	PUNCT
ejpam-5807	75	15	s(ρ)r(σ	s(ρ)r(σ	PROPN
ejpam-5807	75	16	)	)	PUNCT
ejpam-5807	75	17	for	for	ADP
ejpam-5807	75	18	some	some	DET
ejpam-5807	75	19	continuous	continuous	ADJ
ejpam-5807	75	20	functions	function	NOUN
ejpam-5807	75	21	s	s	PART
ejpam-5807	75	22	and	and	CCONJ
ejpam-5807	75	23	r	r	NOUN
ejpam-5807	75	24	,	,	PUNCT
ejpam-5807	75	25	then	then	ADV
ejpam-5807	75	26	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	75	27	,	,	PUNCT
ejpam-5807	75	28	σ	σ	PROPN
ejpam-5807	75	29	)	)	PUNCT
ejpam-5807	75	30	)	)	PUNCT
ejpam-5807	76	1	=	=	SYM
ejpam-5807	76	2	a(s(ρ))w	a(s(ρ))w	NOUN
ejpam-5807	76	3	(	(	PUNCT
ejpam-5807	76	4	r(σ	r(σ	PROPN
ejpam-5807	76	5	)	)	PUNCT
ejpam-5807	76	6	)	)	PUNCT
ejpam-5807	76	7	.	.	PUNCT
ejpam-5807	77	1	in	in	ADP
ejpam-5807	77	2	fact	fact	NOUN
ejpam-5807	77	3	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	77	4	,	,	PUNCT
ejpam-5807	77	5	σ	σ	PROPN
ejpam-5807	77	6	)	)	PUNCT
ejpam-5807	77	7	)	)	PUNCT
ejpam-5807	77	8	=	=	SYM
ejpam-5807	77	9	aρwσ(s(ρ)r(σ	aρwσ(s(ρ)r(σ	NOUN
ejpam-5807	77	10	)	)	PUNCT
ejpam-5807	77	11	)	)	PUNCT
ejpam-5807	78	1	=	=	PUNCT
ejpam-5807	78	2	λ	λ	PROPN
ejpam-5807	78	3	ϖ2	ϖ2	PROPN
ejpam-5807	78	4	∞∫	∞∫	PROPN
ejpam-5807	78	5	0	0	NUM
ejpam-5807	79	1	∞∫	∞∫	PROPN
ejpam-5807	79	2	0	0	PUNCT
ejpam-5807	79	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	79	4	σ	σ	PROPN
ejpam-5807	79	5	ϖ	ϖ	PROPN
ejpam-5807	79	6	s(ρ)r(σ)dρdσ	s(ρ)r(σ)dρdσ	NOUN
ejpam-5807	79	7	=	=	SYM
ejpam-5807	79	8	λ	λ	PUNCT
ejpam-5807	79	9	∞∫	∞∫	PROPN
ejpam-5807	79	10	0	0	NUM
ejpam-5807	79	11	e−λρs(ρ)dρ	e−λρs(ρ)dρ	PROPN
ejpam-5807	79	12			PUNCT
ejpam-5807	79	13	1	1	NUM
ejpam-5807	79	14	ϖ2	ϖ2	NOUN
ejpam-5807	79	15	∞∫	∞∫	PROPN
ejpam-5807	79	16	0	0	NUM
ejpam-5807	80	1	e−	e−	PROPN
ejpam-5807	80	2	σ	σ	PROPN
ejpam-5807	80	3	ϖ	ϖ	NOUN
ejpam-5807	80	4	r(σ)dσ	r(σ)dσ	NUM
ejpam-5807	80	5			PROPN
ejpam-5807	80	6	=	=	SYM
ejpam-5807	80	7	a(s(ρ))w	a(s(ρ))w	NOUN
ejpam-5807	80	8	(	(	PUNCT
ejpam-5807	80	9	r(σ	r(σ	PROPN
ejpam-5807	80	10	)	)	PUNCT
ejpam-5807	80	11	)	)	PUNCT
ejpam-5807	80	12	.	.	PUNCT
ejpam-5807	81	1	3.1	3.1	NUM
ejpam-5807	81	2	.	.	PUNCT
ejpam-5807	81	3	existence	existence	NOUN
ejpam-5807	81	4	condition	condition	NOUN
ejpam-5807	81	5	for	for	ADP
ejpam-5807	81	6	double	double	ADJ
ejpam-5807	81	7	ara	ara	NOUN
ejpam-5807	81	8	-	-	PUNCT
ejpam-5807	81	9	sawi	sawi	NOUN
ejpam-5807	81	10	transform	transform	NOUN
ejpam-5807	81	11	definition	definition	NOUN
ejpam-5807	81	12	3	3	NUM
ejpam-5807	81	13	.	.	PUNCT
ejpam-5807	82	1	a	a	DET
ejpam-5807	82	2	function	function	NOUN
ejpam-5807	82	3	g(ρ	g(ρ	PROPN
ejpam-5807	82	4	,	,	PUNCT
ejpam-5807	82	5	σ	σ	PROPN
ejpam-5807	82	6	)	)	PUNCT
ejpam-5807	82	7	is	be	AUX
ejpam-5807	82	8	said	say	VERB
ejpam-5807	82	9	to	to	PART
ejpam-5807	82	10	be	be	AUX
ejpam-5807	82	11	of	of	ADP
ejpam-5807	82	12	exponential	exponential	ADJ
ejpam-5807	82	13	orders	order	NOUN
ejpam-5807	82	14	γ	γ	X
ejpam-5807	82	15	and	and	CCONJ
ejpam-5807	82	16	δ	δ	PROPN
ejpam-5807	82	17	on	on	ADP
ejpam-5807	82	18	0	0	NUM
ejpam-5807	82	19	≤	≤	NUM
ejpam-5807	82	20	ρ	ρ	NOUN
ejpam-5807	82	21	<	<	X
ejpam-5807	82	22	∞	∞	PROPN
ejpam-5807	82	23	and	and	CCONJ
ejpam-5807	82	24	0	0	NUM
ejpam-5807	82	25	≤	≤	NOUN
ejpam-5807	83	1	σ	σ	NOUN
ejpam-5807	83	2	<	<	X
ejpam-5807	83	3	∞	∞	PROPN
ejpam-5807	83	4	if	if	SCONJ
ejpam-5807	83	5	there	there	PRON
ejpam-5807	83	6	exist	exist	VERB
ejpam-5807	83	7	k	k	PROPN
ejpam-5807	83	8	,	,	PUNCT
ejpam-5807	83	9	x	x	PROPN
ejpam-5807	83	10	,	,	PUNCT
ejpam-5807	83	11	y	y	PROPN
ejpam-5807	83	12	>	>	X
ejpam-5807	83	13	0	0	NUM
ejpam-5807	84	1	such	such	ADJ
ejpam-5807	84	2	that	that	SCONJ
ejpam-5807	84	3	|g(ρ	|g(ρ	PROPN
ejpam-5807	84	4	,	,	PUNCT
ejpam-5807	84	5	σ)|	σ)|	NOUN
ejpam-5807	84	6	≤	≤	PROPN
ejpam-5807	84	7	keγρ+δσ	keγρ+δσ	NUM
ejpam-5807	84	8	,	,	PUNCT
ejpam-5807	84	9	for	for	ADP
ejpam-5807	84	10	all	all	DET
ejpam-5807	84	11	ρ	ρ	NOUN
ejpam-5807	84	12	>	>	X
ejpam-5807	84	13	x	x	PROPN
ejpam-5807	84	14	,	,	PUNCT
ejpam-5807	84	15	σ	σ	PROPN
ejpam-5807	84	16	>	>	X
ejpam-5807	84	17	y.	y.	PROPN
ejpam-5807	84	18	theorem	theorem	VERB
ejpam-5807	84	19	1	1	X
ejpam-5807	84	20	.	.	PUNCT
ejpam-5807	85	1	let	let	VERB
ejpam-5807	85	2	g(ρ	g(ρ	PROPN
ejpam-5807	85	3	,	,	PUNCT
ejpam-5807	85	4	σ	σ	PROPN
ejpam-5807	85	5	)	)	PUNCT
ejpam-5807	85	6	be	be	VERB
ejpam-5807	85	7	a	a	DET
ejpam-5807	85	8	continuous	continuous	ADJ
ejpam-5807	85	9	function	function	NOUN
ejpam-5807	85	10	on	on	ADP
ejpam-5807	85	11	the	the	DET
ejpam-5807	85	12	region	region	NOUN
ejpam-5807	85	13	(	(	PUNCT
ejpam-5807	85	14	0,∞	0,∞	PROPN
ejpam-5807	85	15	)	)	PUNCT
ejpam-5807	85	16	×	×	NOUN
ejpam-5807	85	17	(	(	PUNCT
ejpam-5807	85	18	0,∞	0,∞	NOUN
ejpam-5807	85	19	)	)	PUNCT
ejpam-5807	85	20	of	of	ADP
ejpam-5807	85	21	exponential	exponential	ADJ
ejpam-5807	85	22	orders	order	NOUN
ejpam-5807	85	23	γ	γ	X
ejpam-5807	85	24	and	and	CCONJ
ejpam-5807	85	25	δ	δ	PROPN
ejpam-5807	85	26	.	.	PUNCT
ejpam-5807	86	1	then	then	ADV
ejpam-5807	86	2	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	86	3	)	)	PUNCT
ejpam-5807	86	4	exists	exist	VERB
ejpam-5807	86	5	for	for	ADP
ejpam-5807	86	6	λ,ϖ	λ,ϖ	NOUN
ejpam-5807	86	7	and	and	CCONJ
ejpam-5807	86	8	γ	γ	X
ejpam-5807	86	9	whenever	whenever	SCONJ
ejpam-5807	86	10	re	re	X
ejpam-5807	86	11	(	(	PUNCT
ejpam-5807	86	12	λ	λ	X
ejpam-5807	86	13	)	)	PUNCT
ejpam-5807	86	14	>	>	X
ejpam-5807	86	15	γ	γ	PROPN
ejpam-5807	86	16	and	and	CCONJ
ejpam-5807	86	17	re	re	PROPN
ejpam-5807	86	18	(	(	PUNCT
ejpam-5807	86	19	1	1	NUM
ejpam-5807	86	20	ϖ	ϖ	NOUN
ejpam-5807	86	21	)	)	PUNCT
ejpam-5807	86	22	>	>	X
ejpam-5807	87	1	δ	δ	PROPN
ejpam-5807	87	2	.	.	PUNCT
ejpam-5807	87	3	r.	r.	PROPN
ejpam-5807	87	4	abu	abu	PROPN
ejpam-5807	87	5	awwad	awwad	PROPN
ejpam-5807	87	6	et	et	PROPN
ejpam-5807	87	7	al	al	PROPN
ejpam-5807	87	8	.	.	PUNCT
ejpam-5807	87	9	/	/	SYM
ejpam-5807	87	10	eur	eur	PROPN
ejpam-5807	87	11	.	.	PUNCT
ejpam-5807	88	1	j.	j.	PROPN
ejpam-5807	88	2	pure	pure	PROPN
ejpam-5807	88	3	appl	appl	PROPN
ejpam-5807	88	4	.	.	PROPN
ejpam-5807	88	5	math	math	PROPN
ejpam-5807	88	6	,	,	PUNCT
ejpam-5807	88	7	18	18	NUM
ejpam-5807	88	8	(	(	PUNCT
ejpam-5807	88	9	1	1	NUM
ejpam-5807	88	10	)	)	PUNCT
ejpam-5807	88	11	(	(	PUNCT
ejpam-5807	88	12	2025	2025	NUM
ejpam-5807	88	13	)	)	PUNCT
ejpam-5807	88	14	,	,	PUNCT
ejpam-5807	88	15	5807	5807	NUM
ejpam-5807	88	16	5	5	NUM
ejpam-5807	88	17	of	of	ADP
ejpam-5807	88	18	16	16	NUM
ejpam-5807	88	19	proof	proof	NOUN
ejpam-5807	88	20	.	.	PUNCT
ejpam-5807	89	1	we	we	PRON
ejpam-5807	89	2	have	have	VERB
ejpam-5807	89	3	|g(λ,ϖ)|	|g(λ,ϖ)|	NOUN
ejpam-5807	89	4	=	=	SYM
ejpam-5807	89	5	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-5807	89	6	λ	λ	PROPN
ejpam-5807	89	7	ϖ2	ϖ2	PROPN
ejpam-5807	89	8	∞∫	∞∫	PROPN
ejpam-5807	89	9	0	0	NUM
ejpam-5807	89	10	∞∫	∞∫	PROPN
ejpam-5807	89	11	0	0	PUNCT
ejpam-5807	89	12	e−λρ−	e−λρ−	PROPN
ejpam-5807	89	13	σ	σ	X
ejpam-5807	89	14	ϖ	ϖ	X
ejpam-5807	89	15	g(ρ	g(ρ	PROPN
ejpam-5807	89	16	,	,	PUNCT
ejpam-5807	89	17	σ	σ	PROPN
ejpam-5807	89	18	)	)	PUNCT
ejpam-5807	89	19	dρdσ	dρdσ	VERB
ejpam-5807	89	20	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-5807	89	21	≤	≤	PROPN
ejpam-5807	89	22	λ	λ	PROPN
ejpam-5807	89	23	ϖ2	ϖ2	PROPN
ejpam-5807	89	24	∞∫	∞∫	PROPN
ejpam-5807	89	25	0	0	NUM
ejpam-5807	90	1	∞∫	∞∫	PROPN
ejpam-5807	90	2	0	0	PUNCT
ejpam-5807	90	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	90	4	σ	σ	PROPN
ejpam-5807	90	5	ϖ	ϖ	X
ejpam-5807	90	6	|g(ρ	|g(ρ	PROPN
ejpam-5807	90	7	,	,	PUNCT
ejpam-5807	90	8	σ)|	σ)|	PROPN
ejpam-5807	90	9	dρdσ	dρdσ	VERB
ejpam-5807	90	10	≤	≤	NUM
ejpam-5807	91	1	k	k	PROPN
ejpam-5807	91	2	λ	λ	PROPN
ejpam-5807	91	3	ϖ2	ϖ2	PROPN
ejpam-5807	91	4	∞∫	∞∫	PROPN
ejpam-5807	91	5	0	0	NUM
ejpam-5807	92	1	∞∫	∞∫	PROPN
ejpam-5807	92	2	0	0	PUNCT
ejpam-5807	92	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	92	4	σ	σ	PROPN
ejpam-5807	92	5	ϖ	ϖ	PROPN
ejpam-5807	92	6	eγρ+δσdρdσ	eγρ+δσdρdσ	NOUN
ejpam-5807	92	7	=	=	SYM
ejpam-5807	92	8	k	k	PROPN
ejpam-5807	92	9	∞∫	∞∫	PROPN
ejpam-5807	92	10	0	0	NUM
ejpam-5807	93	1	∞∫	∞∫	NOUN
ejpam-5807	93	2	0	0	NUM
ejpam-5807	93	3	(	(	PUNCT
ejpam-5807	93	4	λe−(λ−γ)ρ	λe−(λ−γ)ρ	NOUN
ejpam-5807	93	5	)	)	PUNCT
ejpam-5807	93	6	(	(	PUNCT
ejpam-5807	93	7	1	1	NUM
ejpam-5807	93	8	ϖ2	ϖ2	NOUN
ejpam-5807	93	9	e−	e−	PROPN
ejpam-5807	93	10	(	(	PUNCT
ejpam-5807	93	11	1	1	NUM
ejpam-5807	93	12	ϖ	ϖ	NOUN
ejpam-5807	93	13	−δ)σ	−δ)σ	NOUN
ejpam-5807	93	14	)	)	PUNCT
ejpam-5807	93	15	dρdσ	dρdσ	VERB
ejpam-5807	94	1	=	=	SYM
ejpam-5807	94	2	k	k	PROPN
ejpam-5807	94	3	λ	λ	PROPN
ejpam-5807	94	4	∞∫	∞∫	PROPN
ejpam-5807	94	5	0	0	NUM
ejpam-5807	94	6	e−(λ−γ)ρdρ	e−(λ−γ)ρdρ	PROPN
ejpam-5807	94	7			PUNCT
ejpam-5807	94	8	1	1	NUM
ejpam-5807	94	9	ϖ2	ϖ2	NOUN
ejpam-5807	94	10	∞∫	∞∫	PROPN
ejpam-5807	94	11	0	0	PUNCT
ejpam-5807	95	1	e−	e−	PROPN
ejpam-5807	95	2	(	(	PUNCT
ejpam-5807	95	3	1	1	NUM
ejpam-5807	95	4	ϖ	ϖ	NOUN
ejpam-5807	95	5	−δ)σdσ	−δ)σdσ	NOUN
ejpam-5807	95	6			PROPN
ejpam-5807	95	7	=	=	SYM
ejpam-5807	95	8	kλ	kλ	PROPN
ejpam-5807	95	9	ϖ	ϖ	INTJ
ejpam-5807	95	10	(	(	PUNCT
ejpam-5807	95	11	λ−	λ−	PROPN
ejpam-5807	95	12	γ	γ	X
ejpam-5807	95	13	)	)	PUNCT
ejpam-5807	95	14	(	(	PUNCT
ejpam-5807	95	15	1−	1−	NUM
ejpam-5807	95	16	δϖ	δϖ	ADP
ejpam-5807	95	17	)	)	PUNCT
ejpam-5807	95	18	,	,	PUNCT
ejpam-5807	95	19	where	where	SCONJ
ejpam-5807	95	20	re	re	X
ejpam-5807	95	21	(	(	PUNCT
ejpam-5807	95	22	λ	λ	X
ejpam-5807	95	23	)	)	PUNCT
ejpam-5807	95	24	>	>	X
ejpam-5807	95	25	γ	γ	PROPN
ejpam-5807	95	26	and	and	CCONJ
ejpam-5807	95	27	re	re	PROPN
ejpam-5807	95	28	(	(	PUNCT
ejpam-5807	95	29	1	1	NUM
ejpam-5807	95	30	ϖ	ϖ	NOUN
ejpam-5807	95	31	)	)	PUNCT
ejpam-5807	95	32	>	>	X
ejpam-5807	95	33	δ	δ	PROPN
ejpam-5807	95	34	.	.	PUNCT
ejpam-5807	96	1	double	double	PROPN
ejpam-5807	96	2	ara	ara	PROPN
ejpam-5807	96	3	-	-	PUNCT
ejpam-5807	96	4	sawi	sawi	ADJ
ejpam-5807	96	5	transform	transform	NOUN
ejpam-5807	96	6	for	for	ADP
ejpam-5807	96	7	some	some	DET
ejpam-5807	96	8	basic	basic	ADJ
ejpam-5807	96	9	functions	function	NOUN
ejpam-5807	96	10	(	(	PUNCT
ejpam-5807	96	11	i	i	NOUN
ejpam-5807	96	12	)	)	PUNCT
ejpam-5807	96	13	aρwσ(1	aρwσ(1	PROPN
ejpam-5807	96	14	)	)	PUNCT
ejpam-5807	97	1	=	=	PUNCT
ejpam-5807	97	2	λ	λ	PROPN
ejpam-5807	97	3	ϖ2	ϖ2	PROPN
ejpam-5807	97	4	∞∫	∞∫	PROPN
ejpam-5807	97	5	0	0	NUM
ejpam-5807	98	1	∞∫	∞∫	PROPN
ejpam-5807	98	2	0	0	PUNCT
ejpam-5807	98	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	98	4	σ	σ	PROPN
ejpam-5807	98	5	ϖ	ϖ	NOUN
ejpam-5807	98	6	dρdσ	dρdσ	VERB
ejpam-5807	98	7	=	=	PUNCT
ejpam-5807	98	8	λ	λ	PROPN
ejpam-5807	98	9	∞∫	∞∫	PROPN
ejpam-5807	98	10	0	0	NUM
ejpam-5807	98	11	e−λρdρ	e−λρdρ	SYM
ejpam-5807	98	12			PROPN
ejpam-5807	98	13	1	1	NUM
ejpam-5807	98	14	ϖ2	ϖ2	NOUN
ejpam-5807	98	15	∞∫	∞∫	PROPN
ejpam-5807	98	16	0	0	NUM
ejpam-5807	99	1	e−	e−	PROPN
ejpam-5807	99	2	σ	σ	PROPN
ejpam-5807	99	3	ϖ	ϖ	PROPN
ejpam-5807	99	4	dσ	dσ	VERB
ejpam-5807	99	5			PROPN
ejpam-5807	99	6	=	=	SYM
ejpam-5807	99	7	1×	1×	NUM
ejpam-5807	99	8	1	1	NUM
ejpam-5807	99	9	ϖ	ϖ	NOUN
ejpam-5807	99	10	=	=	SYM
ejpam-5807	99	11	1	1	NUM
ejpam-5807	99	12	ϖ	ϖ	NOUN
ejpam-5807	99	13	,	,	PUNCT
ejpam-5807	99	14	re(λ	re(λ	NOUN
ejpam-5807	99	15	)	)	PUNCT
ejpam-5807	99	16	>	>	X
ejpam-5807	99	17	0	0	X
ejpam-5807	99	18	.	.	PUNCT
ejpam-5807	99	19	(	(	PUNCT
ejpam-5807	99	20	ii	ii	NOUN
ejpam-5807	99	21	)	)	PUNCT
ejpam-5807	99	22	aρwσ(e	aρwσ(e	NOUN
ejpam-5807	99	23	γρ+δσ	γρ+δσ	PUNCT
ejpam-5807	99	24	)	)	PUNCT
ejpam-5807	100	1	=	=	PUNCT
ejpam-5807	100	2	λ	λ	PROPN
ejpam-5807	100	3	ϖ2	ϖ2	PROPN
ejpam-5807	100	4	∞∫	∞∫	PROPN
ejpam-5807	100	5	0	0	NUM
ejpam-5807	101	1	∞∫	∞∫	PROPN
ejpam-5807	101	2	0	0	PUNCT
ejpam-5807	101	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	101	4	σ	σ	PROPN
ejpam-5807	101	5	ϖ	ϖ	PROPN
ejpam-5807	101	6	eγρ+δσdρdσ	eγρ+δσdρdσ	NOUN
ejpam-5807	101	7	=	=	SYM
ejpam-5807	101	8			PROPN
ejpam-5807	101	9	∞	∞	NUM
ejpam-5807	101	10	λ	λ	PROPN
ejpam-5807	101	11	∫	∫	PROPN
ejpam-5807	101	12	0	0	NUM
ejpam-5807	101	13	eγρ−λρdρ	eγρ−λρdρ	PROPN
ejpam-5807	101	14			PROPN
ejpam-5807	101	15	1	1	NUM
ejpam-5807	101	16	ϖ2	ϖ2	NOUN
ejpam-5807	101	17	∞∫	∞∫	PROPN
ejpam-5807	101	18	0	0	PUNCT
ejpam-5807	102	1	eδσ−	eδσ−	PROPN
ejpam-5807	102	2	σ	σ	PROPN
ejpam-5807	102	3	ϖ	ϖ	PROPN
ejpam-5807	102	4	dσ	dσ	VERB
ejpam-5807	102	5			PROPN
ejpam-5807	102	6	=	=	SYM
ejpam-5807	102	7	λ	λ	X
ejpam-5807	102	8	λ−	λ−	PROPN
ejpam-5807	102	9	γ	γ	X
ejpam-5807	102	10	×	×	PROPN
ejpam-5807	102	11	1	1	NUM
ejpam-5807	102	12	ϖ	ϖ	PROPN
ejpam-5807	102	13	(	(	PUNCT
ejpam-5807	102	14	1−	1−	NUM
ejpam-5807	102	15	δϖ	δϖ	ADP
ejpam-5807	102	16	)	)	PUNCT
ejpam-5807	102	17	=	=	SYM
ejpam-5807	102	18	λ	λ	X
ejpam-5807	102	19	ϖ	ϖ	X
ejpam-5807	102	20	(	(	PUNCT
ejpam-5807	102	21	λ−	λ−	PROPN
ejpam-5807	102	22	γ	γ	X
ejpam-5807	102	23	)	)	PUNCT
ejpam-5807	102	24	(	(	PUNCT
ejpam-5807	102	25	1−	1−	NUM
ejpam-5807	102	26	δϖ	δϖ	ADP
ejpam-5807	102	27	)	)	PUNCT
ejpam-5807	102	28	,	,	PUNCT
ejpam-5807	102	29	re(λ	re(λ	NOUN
ejpam-5807	102	30	)	)	PUNCT
ejpam-5807	102	31	>	>	X
ejpam-5807	102	32	re(γ	re(γ	NOUN
ejpam-5807	102	33	)	)	PUNCT
ejpam-5807	102	34	.	.	PUNCT
ejpam-5807	103	1	(	(	PUNCT
ejpam-5807	103	2	iii	iii	X
ejpam-5807	103	3	)	)	PUNCT
ejpam-5807	103	4	aρwσ(ρ	aρwσ(ρ	NUM
ejpam-5807	103	5	γσδ	γσδ	NOUN
ejpam-5807	103	6	)	)	PUNCT
ejpam-5807	103	7	=	=	SYM
ejpam-5807	104	1	λ	λ	PROPN
ejpam-5807	104	2	ϖ2	ϖ2	PROPN
ejpam-5807	104	3	∞∫	∞∫	PROPN
ejpam-5807	104	4	0	0	NUM
ejpam-5807	105	1	∞∫	∞∫	PROPN
ejpam-5807	105	2	0	0	PUNCT
ejpam-5807	105	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	105	4	σ	σ	PROPN
ejpam-5807	105	5	ϖ	ϖ	PROPN
ejpam-5807	105	6	ργσδdρdσ	ργσδdρdσ	NOUN
ejpam-5807	105	7	=	=	PUNCT
ejpam-5807	105	8	λ	λ	PUNCT
ejpam-5807	105	9	∞∫	∞∫	PROPN
ejpam-5807	105	10	0	0	PUNCT
ejpam-5807	105	11	ργe−λρdρ	ργe−λρdρ	PUNCT
ejpam-5807	105	12			PROPN
ejpam-5807	105	13	1	1	NUM
ejpam-5807	105	14	ϖ2	ϖ2	NOUN
ejpam-5807	105	15	∞∫	∞∫	PROPN
ejpam-5807	105	16	0	0	NUM
ejpam-5807	105	17	σδe−	σδe−	PROPN
ejpam-5807	105	18	σ	σ	PROPN
ejpam-5807	105	19	ϖ	ϖ	PROPN
ejpam-5807	105	20	dσ	dσ	VERB
ejpam-5807	105	21			PROPN
ejpam-5807	105	22	r.	r.	PROPN
ejpam-5807	105	23	abu	abu	PROPN
ejpam-5807	105	24	awwad	awwad	PROPN
ejpam-5807	105	25	et	et	PROPN
ejpam-5807	105	26	al	al	PROPN
ejpam-5807	105	27	.	.	PUNCT
ejpam-5807	105	28	/	/	SYM
ejpam-5807	105	29	eur	eur	PROPN
ejpam-5807	105	30	.	.	PUNCT
ejpam-5807	106	1	j.	j.	PROPN
ejpam-5807	106	2	pure	pure	PROPN
ejpam-5807	106	3	appl	appl	PROPN
ejpam-5807	106	4	.	.	PROPN
ejpam-5807	106	5	math	math	PROPN
ejpam-5807	106	6	,	,	PUNCT
ejpam-5807	106	7	18	18	NUM
ejpam-5807	106	8	(	(	PUNCT
ejpam-5807	106	9	1	1	NUM
ejpam-5807	106	10	)	)	PUNCT
ejpam-5807	106	11	(	(	PUNCT
ejpam-5807	106	12	2025	2025	NUM
ejpam-5807	106	13	)	)	PUNCT
ejpam-5807	106	14	,	,	PUNCT
ejpam-5807	106	15	5807	5807	NUM
ejpam-5807	106	16	6	6	NUM
ejpam-5807	106	17	of	of	ADP
ejpam-5807	106	18	16	16	NUM
ejpam-5807	106	19	=	=	SYM
ejpam-5807	106	20	γ(γ	γ(γ	NOUN
ejpam-5807	106	21	+	+	CCONJ
ejpam-5807	106	22	1	1	X
ejpam-5807	106	23	)	)	PUNCT
ejpam-5807	106	24	λγ	λγ	NOUN
ejpam-5807	106	25	×	×	NOUN
ejpam-5807	106	26	γ(δ	γ(δ	PROPN
ejpam-5807	107	1	+	+	CCONJ
ejpam-5807	108	1	1)ϖδ−1	1)ϖδ−1	NUM
ejpam-5807	108	2	=	=	SYM
ejpam-5807	108	3	ϖδ−1	ϖδ−1	PROPN
ejpam-5807	108	4	λγ	λγ	X
ejpam-5807	108	5	γ(γ	γ(γ	PROPN
ejpam-5807	108	6	+	+	CCONJ
ejpam-5807	109	1	1)γ(δ	1)γ(δ	NUM
ejpam-5807	109	2	+	+	CCONJ
ejpam-5807	109	3	1	1	NUM
ejpam-5807	109	4	)	)	PUNCT
ejpam-5807	109	5	,	,	PUNCT
ejpam-5807	109	6	re(λ	re(λ	ADP
ejpam-5807	109	7	)	)	PUNCT
ejpam-5807	109	8	>	>	X
ejpam-5807	109	9	0	0	NUM
ejpam-5807	109	10	and	and	CCONJ
ejpam-5807	109	11	re(γ	re(γ	NOUN
ejpam-5807	109	12	)	)	PUNCT
ejpam-5807	109	13	>	>	X
ejpam-5807	109	14	−1	−1	NOUN
ejpam-5807	109	15	.	.	PUNCT
ejpam-5807	110	1	3.2	3.2	NUM
ejpam-5807	110	2	.	.	PUNCT
ejpam-5807	111	1	derivatives	derivative	NOUN
ejpam-5807	111	2	properties	property	NOUN
ejpam-5807	111	3	now	now	ADV
ejpam-5807	111	4	,	,	PUNCT
ejpam-5807	111	5	we	we	PRON
ejpam-5807	111	6	present	present	VERB
ejpam-5807	111	7	some	some	DET
ejpam-5807	111	8	basic	basic	ADJ
ejpam-5807	111	9	properties	property	NOUN
ejpam-5807	111	10	of	of	ADP
ejpam-5807	111	11	the	the	DET
ejpam-5807	111	12	da	da	PROPN
ejpam-5807	111	13	-	-	PUNCT
ejpam-5807	111	14	swt	swt	PROPN
ejpam-5807	111	15	let	let	VERB
ejpam-5807	111	16	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	111	17	)	)	PUNCT
ejpam-5807	111	18	=	=	SYM
ejpam-5807	111	19	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	111	20	,	,	PUNCT
ejpam-5807	111	21	σ	σ	PROPN
ejpam-5807	111	22	)	)	PUNCT
ejpam-5807	111	23	)	)	PUNCT
ejpam-5807	111	24	where	where	SCONJ
ejpam-5807	111	25	g(ρ	g(ρ	PROPN
ejpam-5807	111	26	,	,	PUNCT
ejpam-5807	111	27	σ	σ	PROPN
ejpam-5807	111	28	)	)	PUNCT
ejpam-5807	111	29	is	be	AUX
ejpam-5807	111	30	a	a	DET
ejpam-5807	111	31	continuous	continuous	ADJ
ejpam-5807	111	32	function	function	NOUN
ejpam-5807	111	33	on	on	ADP
ejpam-5807	111	34	(	(	PUNCT
ejpam-5807	111	35	0,∞)×(0,∞	0,∞)×(0,∞	NUM
ejpam-5807	111	36	)	)	PUNCT
ejpam-5807	111	37	.	.	PUNCT
ejpam-5807	112	1	then	then	ADV
ejpam-5807	112	2	(	(	PUNCT
ejpam-5807	112	3	i	i	NOUN
ejpam-5807	112	4	)	)	PUNCT
ejpam-5807	112	5	aρwσ	aρwσ	PROPN
ejpam-5807	112	6	(	(	PUNCT
ejpam-5807	112	7	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	112	8	,	,	PUNCT
ejpam-5807	112	9	σ	σ	PROPN
ejpam-5807	112	10	)	)	PUNCT
ejpam-5807	112	11	∂ρ	∂ρ	PROPN
ejpam-5807	112	12	)	)	PUNCT
ejpam-5807	113	1	=	=	PUNCT
ejpam-5807	113	2	λg(λ,ϖ)−	λg(λ,ϖ)−	NOUN
ejpam-5807	113	3	λw	λw	X
ejpam-5807	113	4	(	(	PUNCT
ejpam-5807	113	5	g(0	g(0	PROPN
ejpam-5807	113	6	,	,	PUNCT
ejpam-5807	113	7	σ	σ	PROPN
ejpam-5807	113	8	)	)	PUNCT
ejpam-5807	113	9	)	)	PUNCT
ejpam-5807	113	10	,	,	PUNCT
ejpam-5807	113	11	(	(	PUNCT
ejpam-5807	113	12	12	12	NUM
ejpam-5807	113	13	)	)	PUNCT
ejpam-5807	113	14	(	(	PUNCT
ejpam-5807	113	15	ii	ii	NOUN
ejpam-5807	113	16	)	)	PUNCT
ejpam-5807	113	17	aρwσ	aρwσ	PROPN
ejpam-5807	113	18	(	(	PUNCT
ejpam-5807	113	19	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	113	20	,	,	PUNCT
ejpam-5807	113	21	σ	σ	PROPN
ejpam-5807	113	22	)	)	PUNCT
ejpam-5807	113	23	∂ρ2	∂ρ2	NOUN
ejpam-5807	113	24	)	)	PUNCT
ejpam-5807	114	1	=	=	PRON
ejpam-5807	114	2	λ2g(λ,ϖ)−	λ2g(λ,ϖ)−	X
ejpam-5807	114	3	λ2w	λ2w	X
ejpam-5807	114	4	(	(	PUNCT
ejpam-5807	114	5	g(0	g(0	PROPN
ejpam-5807	114	6	,	,	PUNCT
ejpam-5807	114	7	σ))−	σ))−	PROPN
ejpam-5807	114	8	λw	λw	X
ejpam-5807	114	9	(	(	PUNCT
ejpam-5807	114	10	gρ(0	gρ(0	PROPN
ejpam-5807	114	11	,	,	PUNCT
ejpam-5807	114	12	σ	σ	PROPN
ejpam-5807	114	13	)	)	PUNCT
ejpam-5807	114	14	)	)	PUNCT
ejpam-5807	114	15	,	,	PUNCT
ejpam-5807	114	16	(	(	PUNCT
ejpam-5807	114	17	iii	iii	X
ejpam-5807	114	18	)	)	PUNCT
ejpam-5807	114	19	aρwσ	aρwσ	PROPN
ejpam-5807	114	20	(	(	PUNCT
ejpam-5807	114	21	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	114	22	,	,	PUNCT
ejpam-5807	114	23	σ	σ	PROPN
ejpam-5807	114	24	)	)	PUNCT
ejpam-5807	114	25	∂σ	∂σ	PROPN
ejpam-5807	114	26	)	)	PUNCT
ejpam-5807	115	1	=	=	SYM
ejpam-5807	116	1	1	1	NUM
ejpam-5807	116	2	ϖ	ϖ	NOUN
ejpam-5807	116	3	g(λ,ϖ)−	g(λ,ϖ)−	NOUN
ejpam-5807	116	4	1	1	NUM
ejpam-5807	116	5	ϖ2	ϖ2	NOUN
ejpam-5807	116	6	a(g(ρ	a(g(ρ	PROPN
ejpam-5807	116	7	,	,	PUNCT
ejpam-5807	116	8	0	0	NUM
ejpam-5807	116	9	)	)	PUNCT
ejpam-5807	116	10	)	)	PUNCT
ejpam-5807	116	11	,	,	PUNCT
ejpam-5807	116	12	(	(	PUNCT
ejpam-5807	116	13	13	13	NUM
ejpam-5807	116	14	)	)	PUNCT
ejpam-5807	116	15	(	(	PUNCT
ejpam-5807	116	16	iv	iv	X
ejpam-5807	116	17	)	)	PUNCT
ejpam-5807	116	18	aρwσ	aρwσ	PROPN
ejpam-5807	116	19	(	(	PUNCT
ejpam-5807	116	20	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	116	21	,	,	PUNCT
ejpam-5807	116	22	σ	σ	PROPN
ejpam-5807	116	23	)	)	PUNCT
ejpam-5807	116	24	∂σ2	∂σ2	PROPN
ejpam-5807	116	25	)	)	PUNCT
ejpam-5807	117	1	=	=	SYM
ejpam-5807	117	2	1	1	NUM
ejpam-5807	117	3	ϖ2	ϖ2	NOUN
ejpam-5807	117	4	g(λ,ϖ)−	g(λ,ϖ)−	NOUN
ejpam-5807	117	5	1	1	NUM
ejpam-5807	117	6	ϖ3	ϖ3	NOUN
ejpam-5807	117	7	a(g(ρ	a(g(ρ	PROPN
ejpam-5807	117	8	,	,	PUNCT
ejpam-5807	117	9	0))−	0))−	NUM
ejpam-5807	117	10	1	1	NUM
ejpam-5807	117	11	ϖ2	ϖ2	NOUN
ejpam-5807	117	12	a(gσ(ρ	a(gσ(ρ	PROPN
ejpam-5807	117	13	,	,	PUNCT
ejpam-5807	117	14	0	0	NUM
ejpam-5807	117	15	)	)	PUNCT
ejpam-5807	117	16	)	)	PUNCT
ejpam-5807	117	17	,	,	PUNCT
ejpam-5807	117	18	(	(	PUNCT
ejpam-5807	117	19	14	14	NUM
ejpam-5807	117	20	)	)	PUNCT
ejpam-5807	117	21	(	(	PUNCT
ejpam-5807	117	22	v	v	NOUN
ejpam-5807	117	23	)	)	PUNCT
ejpam-5807	117	24	aρwσ	aρwσ	PROPN
ejpam-5807	117	25	(	(	PUNCT
ejpam-5807	117	26	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	117	27	,	,	PUNCT
ejpam-5807	117	28	σ	σ	NOUN
ejpam-5807	117	29	)	)	PUNCT
ejpam-5807	117	30	∂ρ∂σ	∂ρ∂σ	NOUN
ejpam-5807	117	31	)	)	PUNCT
ejpam-5807	118	1	=	=	PUNCT
ejpam-5807	118	2	λ	λ	X
ejpam-5807	118	3	ϖ	ϖ	NOUN
ejpam-5807	118	4	g(λ,ϖ)−	g(λ,ϖ)−	NOUN
ejpam-5807	118	5	λ	λ	X
ejpam-5807	118	6	ϖ2	ϖ2	NOUN
ejpam-5807	118	7	a(g(ρ	a(g(ρ	PROPN
ejpam-5807	118	8	,	,	PUNCT
ejpam-5807	118	9	0))−	0))−	PUNCT
ejpam-5807	119	1	λ	λ	X
ejpam-5807	119	2	ϖ	ϖ	X
ejpam-5807	119	3	w	w	VERB
ejpam-5807	119	4	(	(	PUNCT
ejpam-5807	119	5	g(0	g(0	PROPN
ejpam-5807	119	6	,	,	PUNCT
ejpam-5807	119	7	σ))+	σ))+	NOUN
ejpam-5807	119	8	λ	λ	PROPN
ejpam-5807	119	9	ϖ2	ϖ2	NOUN
ejpam-5807	119	10	g(0	g(0	PROPN
ejpam-5807	119	11	,	,	PUNCT
ejpam-5807	119	12	0	0	NUM
ejpam-5807	119	13	)	)	PUNCT
ejpam-5807	119	14	.	.	PUNCT
ejpam-5807	120	1	(	(	PUNCT
ejpam-5807	120	2	15	15	X
ejpam-5807	120	3	)	)	PUNCT
ejpam-5807	120	4	proof	proof	NOUN
ejpam-5807	120	5	.	.	PUNCT
ejpam-5807	121	1	(	(	PUNCT
ejpam-5807	121	2	1	1	X
ejpam-5807	121	3	)	)	PUNCT
ejpam-5807	121	4	aρwσ	aρwσ	PROPN
ejpam-5807	121	5	(	(	PUNCT
ejpam-5807	121	6	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	121	7	,	,	PUNCT
ejpam-5807	121	8	σ	σ	PROPN
ejpam-5807	121	9	)	)	PUNCT
ejpam-5807	121	10	∂ρ	∂ρ	PROPN
ejpam-5807	121	11	)	)	PUNCT
ejpam-5807	122	1	=	=	PUNCT
ejpam-5807	122	2	λ	λ	PROPN
ejpam-5807	122	3	ϖ2	ϖ2	PROPN
ejpam-5807	122	4	∞∫	∞∫	PROPN
ejpam-5807	122	5	0	0	NUM
ejpam-5807	123	1	∞∫	∞∫	PROPN
ejpam-5807	123	2	0	0	PUNCT
ejpam-5807	123	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	123	4	σ	σ	PROPN
ejpam-5807	123	5	ϖ	ϖ	X
ejpam-5807	123	6	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	123	7	,	,	PUNCT
ejpam-5807	123	8	σ	σ	PROPN
ejpam-5807	123	9	)	)	PUNCT
ejpam-5807	123	10	∂ρ	∂ρ	PROPN
ejpam-5807	123	11	dρdσ	dρdσ	NOUN
ejpam-5807	123	12	=	=	SYM
ejpam-5807	123	13	λ	λ	PROPN
ejpam-5807	123	14	ϖ2	ϖ2	PROPN
ejpam-5807	123	15	∞∫	∞∫	PROPN
ejpam-5807	123	16	0	0	NUM
ejpam-5807	124	1	e−	e−	PROPN
ejpam-5807	124	2	σ	σ	PROPN
ejpam-5807	124	3	ϖ	ϖ	X
ejpam-5807	124	4	∞∫	∞∫	PROPN
ejpam-5807	124	5	0	0	NUM
ejpam-5807	124	6	e−λρ	e−λρ	PROPN
ejpam-5807	124	7	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	124	8	,	,	PUNCT
ejpam-5807	124	9	σ	σ	PROPN
ejpam-5807	124	10	)	)	PUNCT
ejpam-5807	124	11	∂ρ	∂ρ	PROPN
ejpam-5807	124	12	dρdσ	dρdσ	PROPN
ejpam-5807	124	13	.	.	PUNCT
ejpam-5807	125	1	by	by	ADP
ejpam-5807	125	2	integrating	integrate	VERB
ejpam-5807	125	3	by	by	ADP
ejpam-5807	125	4	parts	part	NOUN
ejpam-5807	125	5	,	,	PUNCT
ejpam-5807	125	6	we	we	PRON
ejpam-5807	125	7	get	get	VERB
ejpam-5807	125	8	aρwσ	aρwσ	ADJ
ejpam-5807	125	9	(	(	PUNCT
ejpam-5807	125	10	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	125	11	,	,	PUNCT
ejpam-5807	125	12	σ	σ	PROPN
ejpam-5807	125	13	)	)	PUNCT
ejpam-5807	125	14	∂ρ	∂ρ	PROPN
ejpam-5807	125	15	)	)	PUNCT
ejpam-5807	126	1	=	=	PUNCT
ejpam-5807	126	2	λ	λ	PROPN
ejpam-5807	126	3	ϖ2	ϖ2	NOUN
ejpam-5807	126	4	∞∫	∞∫	PROPN
ejpam-5807	126	5	0	0	NUM
ejpam-5807	127	1	e−	e−	PROPN
ejpam-5807	127	2	σ	σ	X
ejpam-5807	127	3	ϖ	ϖ	PROPN
ejpam-5807	127	4	(	(	PUNCT
ejpam-5807	127	5	−g(0	−g(0	PROPN
ejpam-5807	127	6	,	,	PUNCT
ejpam-5807	127	7	σ	σ	PROPN
ejpam-5807	127	8	)	)	PUNCT
ejpam-5807	127	9	+	+	NUM
ejpam-5807	127	10	λ	λ	X
ejpam-5807	127	11	∞∫	∞∫	PROPN
ejpam-5807	127	12	0	0	NUM
ejpam-5807	127	13	e−λρg(ρ	e−λρg(ρ	PROPN
ejpam-5807	127	14	,	,	PUNCT
ejpam-5807	127	15	σ	σ	PROPN
ejpam-5807	127	16	)	)	PUNCT
ejpam-5807	127	17	dρ	dρ	PROPN
ejpam-5807	127	18	)	)	PUNCT
ejpam-5807	127	19	dσ	dσ	PROPN
ejpam-5807	127	20	=	=	PUNCT
ejpam-5807	127	21	−	−	PROPN
ejpam-5807	127	22	λ	λ	PROPN
ejpam-5807	127	23	ϖ2	ϖ2	NOUN
ejpam-5807	127	24	∞∫	∞∫	PROPN
ejpam-5807	127	25	0	0	NUM
ejpam-5807	128	1	e−	e−	PROPN
ejpam-5807	128	2	σ	σ	X
ejpam-5807	128	3	ϖ	ϖ	X
ejpam-5807	128	4	g(0	g(0	PROPN
ejpam-5807	128	5	,	,	PUNCT
ejpam-5807	128	6	σ)dσ	σ)dσ	PROPN
ejpam-5807	128	7	+	+	NUM
ejpam-5807	128	8	λ2	λ2	PROPN
ejpam-5807	128	9	ϖ2	ϖ2	NOUN
ejpam-5807	128	10	∞∫	∞∫	PROPN
ejpam-5807	128	11	0	0	NUM
ejpam-5807	129	1	∞∫	∞∫	PROPN
ejpam-5807	129	2	0	0	PUNCT
ejpam-5807	129	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	129	4	σ	σ	X
ejpam-5807	129	5	ϖ	ϖ	X
ejpam-5807	129	6	g(ρ	g(ρ	PROPN
ejpam-5807	129	7	,	,	PUNCT
ejpam-5807	129	8	σ	σ	PROPN
ejpam-5807	129	9	)	)	PUNCT
ejpam-5807	129	10	dρdσ	dρdσ	VERB
ejpam-5807	129	11	r.	r.	PROPN
ejpam-5807	129	12	abu	abu	PROPN
ejpam-5807	129	13	awwad	awwad	PROPN
ejpam-5807	129	14	et	et	PROPN
ejpam-5807	129	15	al	al	PROPN
ejpam-5807	129	16	.	.	PUNCT
ejpam-5807	129	17	/	/	SYM
ejpam-5807	129	18	eur	eur	PROPN
ejpam-5807	129	19	.	.	PUNCT
ejpam-5807	130	1	j.	j.	PROPN
ejpam-5807	130	2	pure	pure	PROPN
ejpam-5807	130	3	appl	appl	PROPN
ejpam-5807	130	4	.	.	PROPN
ejpam-5807	130	5	math	math	PROPN
ejpam-5807	130	6	,	,	PUNCT
ejpam-5807	130	7	18	18	NUM
ejpam-5807	130	8	(	(	PUNCT
ejpam-5807	130	9	1	1	NUM
ejpam-5807	130	10	)	)	PUNCT
ejpam-5807	130	11	(	(	PUNCT
ejpam-5807	130	12	2025	2025	NUM
ejpam-5807	130	13	)	)	PUNCT
ejpam-5807	130	14	,	,	PUNCT
ejpam-5807	130	15	5807	5807	NUM
ejpam-5807	130	16	7	7	NUM
ejpam-5807	130	17	of	of	ADP
ejpam-5807	130	18	16	16	NUM
ejpam-5807	130	19	=	=	SYM
ejpam-5807	130	20	λg(λ,ϖ)−	λg(λ,ϖ)−	NOUN
ejpam-5807	130	21	λw	λw	X
ejpam-5807	130	22	(	(	PUNCT
ejpam-5807	130	23	g(0	g(0	PROPN
ejpam-5807	130	24	,	,	PUNCT
ejpam-5807	130	25	σ	σ	PROPN
ejpam-5807	130	26	)	)	PUNCT
ejpam-5807	130	27	)	)	PUNCT
ejpam-5807	130	28	.	.	PUNCT
ejpam-5807	131	1	(	(	PUNCT
ejpam-5807	131	2	2	2	X
ejpam-5807	131	3	)	)	PUNCT
ejpam-5807	131	4	aρwσ	aρwσ	NOUN
ejpam-5807	131	5	(	(	PUNCT
ejpam-5807	131	6	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	131	7	,	,	PUNCT
ejpam-5807	131	8	σ	σ	PROPN
ejpam-5807	131	9	)	)	PUNCT
ejpam-5807	131	10	∂ρ2	∂ρ2	NOUN
ejpam-5807	131	11	)	)	PUNCT
ejpam-5807	132	1	=	=	PUNCT
ejpam-5807	132	2	λ	λ	PROPN
ejpam-5807	132	3	ϖ2	ϖ2	PROPN
ejpam-5807	132	4	∞∫	∞∫	PROPN
ejpam-5807	132	5	0	0	NUM
ejpam-5807	133	1	∞∫	∞∫	PROPN
ejpam-5807	133	2	0	0	PUNCT
ejpam-5807	133	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	133	4	σ	σ	PROPN
ejpam-5807	133	5	ϖ	ϖ	X
ejpam-5807	133	6	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	133	7	,	,	PUNCT
ejpam-5807	133	8	σ	σ	PROPN
ejpam-5807	133	9	)	)	PUNCT
ejpam-5807	133	10	∂ρ2	∂ρ2	NOUN
ejpam-5807	133	11	dρdσ	dρdσ	VERB
ejpam-5807	133	12	=	=	PUNCT
ejpam-5807	133	13	λ	λ	PROPN
ejpam-5807	133	14	ϖ2	ϖ2	PROPN
ejpam-5807	133	15	∞∫	∞∫	PROPN
ejpam-5807	133	16	0	0	NUM
ejpam-5807	134	1	e−	e−	PROPN
ejpam-5807	134	2	σ	σ	PROPN
ejpam-5807	134	3	ϖ	ϖ	X
ejpam-5807	134	4	∞∫	∞∫	PROPN
ejpam-5807	134	5	0	0	NUM
ejpam-5807	134	6	e−λρ	e−λρ	PROPN
ejpam-5807	134	7	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	134	8	,	,	PUNCT
ejpam-5807	134	9	σ	σ	PROPN
ejpam-5807	134	10	)	)	PUNCT
ejpam-5807	134	11	∂ρ2	∂ρ2	NOUN
ejpam-5807	134	12	dρdσ	dρdσ	VERB
ejpam-5807	134	13	.	.	PUNCT
ejpam-5807	135	1	by	by	ADP
ejpam-5807	135	2	integrating	integrate	VERB
ejpam-5807	135	3	by	by	ADP
ejpam-5807	135	4	parts	part	NOUN
ejpam-5807	135	5	,	,	PUNCT
ejpam-5807	135	6	we	we	PRON
ejpam-5807	135	7	get	get	VERB
ejpam-5807	135	8	aρwσ	aρwσ	ADJ
ejpam-5807	135	9	(	(	PUNCT
ejpam-5807	135	10	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	135	11	,	,	PUNCT
ejpam-5807	135	12	σ	σ	PROPN
ejpam-5807	135	13	)	)	PUNCT
ejpam-5807	135	14	∂ρ2	∂ρ2	NOUN
ejpam-5807	135	15	)	)	PUNCT
ejpam-5807	136	1	=	=	PUNCT
ejpam-5807	136	2	λ	λ	PROPN
ejpam-5807	136	3	ϖ2	ϖ2	NOUN
ejpam-5807	136	4	∞∫	∞∫	PROPN
ejpam-5807	136	5	0	0	NUM
ejpam-5807	137	1	e−	e−	PROPN
ejpam-5807	137	2	σ	σ	X
ejpam-5807	137	3	ϖ	ϖ	PROPN
ejpam-5807	137	4	(	(	PUNCT
ejpam-5807	137	5	−gρ(0	−gρ(0	NOUN
ejpam-5807	137	6	,	,	PUNCT
ejpam-5807	137	7	σ)−	σ)−	PROPN
ejpam-5807	137	8	λg(0	λg(0	PROPN
ejpam-5807	137	9	,	,	PUNCT
ejpam-5807	137	10	σ	σ	NOUN
ejpam-5807	137	11	)	)	PUNCT
ejpam-5807	137	12	+	+	CCONJ
ejpam-5807	137	13	λ2	λ2	PROPN
ejpam-5807	137	14	∞∫	∞∫	PROPN
ejpam-5807	137	15	0	0	NUM
ejpam-5807	137	16	e−λρg(ρ	e−λρg(ρ	PROPN
ejpam-5807	137	17	,	,	PUNCT
ejpam-5807	137	18	σ)dρ	σ)dρ	PROPN
ejpam-5807	137	19	)	)	PUNCT
ejpam-5807	138	1	dσ	dσ	PROPN
ejpam-5807	138	2	=	=	PUNCT
ejpam-5807	138	3	−	−	PROPN
ejpam-5807	138	4	λ	λ	PROPN
ejpam-5807	138	5	ϖ2	ϖ2	NOUN
ejpam-5807	138	6	∞∫	∞∫	PROPN
ejpam-5807	138	7	0	0	NUM
ejpam-5807	139	1	e−	e−	PROPN
ejpam-5807	139	2	σ	σ	X
ejpam-5807	139	3	ϖ	ϖ	INTJ
ejpam-5807	139	4	gρ(0	gρ(0	PROPN
ejpam-5807	139	5	,	,	PUNCT
ejpam-5807	139	6	σ)dσ	σ)dσ	ADJ
ejpam-5807	139	7	−	−	NOUN
ejpam-5807	139	8	λ2	λ2	PROPN
ejpam-5807	139	9	ϖ2	ϖ2	NOUN
ejpam-5807	139	10	∞∫	∞∫	PROPN
ejpam-5807	139	11	0	0	NUM
ejpam-5807	140	1	e−	e−	PROPN
ejpam-5807	140	2	σ	σ	X
ejpam-5807	140	3	ϖ	ϖ	X
ejpam-5807	140	4	g(0	g(0	PROPN
ejpam-5807	140	5	,	,	PUNCT
ejpam-5807	140	6	σ)dσ	σ)dσ	PROPN
ejpam-5807	140	7	+	+	NUM
ejpam-5807	140	8	λ3	λ3	PROPN
ejpam-5807	140	9	ϖ2	ϖ2	PROPN
ejpam-5807	140	10	∞∫	∞∫	PROPN
ejpam-5807	140	11	0	0	NUM
ejpam-5807	141	1	∞∫	∞∫	PROPN
ejpam-5807	141	2	0	0	PUNCT
ejpam-5807	141	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	141	4	σ	σ	X
ejpam-5807	141	5	ϖ	ϖ	X
ejpam-5807	141	6	g(ρ	g(ρ	PROPN
ejpam-5807	141	7	,	,	PUNCT
ejpam-5807	141	8	σ)dρdσ	σ)dρdσ	VERB
ejpam-5807	141	9	=	=	PRON
ejpam-5807	142	1	λ2g(λ,ϖ)−	λ2g(λ,ϖ)−	X
ejpam-5807	142	2	λ2w	λ2w	X
ejpam-5807	142	3	(	(	PUNCT
ejpam-5807	142	4	g(0	g(0	PROPN
ejpam-5807	142	5	,	,	PUNCT
ejpam-5807	142	6	σ))−	σ))−	PROPN
ejpam-5807	142	7	λw	λw	X
ejpam-5807	142	8	(	(	PUNCT
ejpam-5807	142	9	gρ(0	gρ(0	PROPN
ejpam-5807	142	10	,	,	PUNCT
ejpam-5807	142	11	σ	σ	PROPN
ejpam-5807	142	12	)	)	PUNCT
ejpam-5807	142	13	)	)	PUNCT
ejpam-5807	142	14	.	.	PUNCT
ejpam-5807	143	1	(	(	PUNCT
ejpam-5807	143	2	3	3	X
ejpam-5807	143	3	)	)	PUNCT
ejpam-5807	143	4	aρwσ	aρwσ	PROPN
ejpam-5807	143	5	(	(	PUNCT
ejpam-5807	143	6	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	143	7	,	,	PUNCT
ejpam-5807	143	8	σ	σ	PROPN
ejpam-5807	143	9	)	)	PUNCT
ejpam-5807	143	10	∂σ	∂σ	PROPN
ejpam-5807	143	11	)	)	PUNCT
ejpam-5807	144	1	=	=	PUNCT
ejpam-5807	144	2	λ	λ	PROPN
ejpam-5807	144	3	ϖ2	ϖ2	PROPN
ejpam-5807	144	4	∞∫	∞∫	PROPN
ejpam-5807	144	5	0	0	NUM
ejpam-5807	145	1	∞∫	∞∫	PROPN
ejpam-5807	145	2	0	0	PUNCT
ejpam-5807	145	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	145	4	σ	σ	PROPN
ejpam-5807	145	5	ϖ	ϖ	X
ejpam-5807	145	6	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	145	7	,	,	PUNCT
ejpam-5807	145	8	σ	σ	PROPN
ejpam-5807	145	9	)	)	PUNCT
ejpam-5807	145	10	∂σ	∂σ	PROPN
ejpam-5807	145	11	dρdσ	dρdσ	VERB
ejpam-5807	145	12	=	=	PUNCT
ejpam-5807	145	13	λ	λ	PROPN
ejpam-5807	145	14	ϖ2	ϖ2	PROPN
ejpam-5807	145	15	∞∫	∞∫	PROPN
ejpam-5807	145	16	0	0	NUM
ejpam-5807	145	17	e−λρ	e−λρ	PROPN
ejpam-5807	145	18	∞∫	∞∫	PROPN
ejpam-5807	145	19	0	0	NUM
ejpam-5807	146	1	e−	e−	PROPN
ejpam-5807	146	2	σ	σ	PROPN
ejpam-5807	146	3	ϖ	ϖ	X
ejpam-5807	146	4	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	146	5	,	,	PUNCT
ejpam-5807	146	6	σ	σ	PROPN
ejpam-5807	146	7	)	)	PUNCT
ejpam-5807	146	8	∂σ	∂σ	PROPN
ejpam-5807	146	9	dσdρ	dσdρ	NOUN
ejpam-5807	146	10	.	.	PUNCT
ejpam-5807	147	1	by	by	ADP
ejpam-5807	147	2	integrating	integrate	VERB
ejpam-5807	147	3	by	by	ADP
ejpam-5807	147	4	parts	part	NOUN
ejpam-5807	147	5	,	,	PUNCT
ejpam-5807	147	6	we	we	PRON
ejpam-5807	147	7	get	get	VERB
ejpam-5807	147	8	aρwσ	aρwσ	ADJ
ejpam-5807	147	9	(	(	PUNCT
ejpam-5807	147	10	∂g(ρ	∂g(ρ	PROPN
ejpam-5807	147	11	,	,	PUNCT
ejpam-5807	147	12	σ	σ	PROPN
ejpam-5807	147	13	)	)	PUNCT
ejpam-5807	147	14	∂σ	∂σ	PROPN
ejpam-5807	147	15	)	)	PUNCT
ejpam-5807	148	1	=	=	PUNCT
ejpam-5807	148	2	λ	λ	PROPN
ejpam-5807	148	3	ϖ2	ϖ2	PROPN
ejpam-5807	148	4	∞∫	∞∫	PROPN
ejpam-5807	148	5	0	0	NUM
ejpam-5807	149	1	e−λρ	e−λρ	PROPN
ejpam-5807	149	2	(	(	PUNCT
ejpam-5807	149	3	−g(ρ	−g(ρ	NOUN
ejpam-5807	149	4	,	,	PUNCT
ejpam-5807	149	5	0	0	NUM
ejpam-5807	149	6	)	)	PUNCT
ejpam-5807	149	7	+	+	CCONJ
ejpam-5807	149	8	1	1	NUM
ejpam-5807	149	9	ϖ	ϖ	X
ejpam-5807	149	10	∞∫	∞∫	PROPN
ejpam-5807	149	11	0	0	NUM
ejpam-5807	150	1	e−	e−	PROPN
ejpam-5807	150	2	σ	σ	X
ejpam-5807	150	3	ϖ	ϖ	X
ejpam-5807	150	4	g(ρ	g(ρ	PROPN
ejpam-5807	150	5	,	,	PUNCT
ejpam-5807	150	6	σ)dσ	σ)dσ	PROPN
ejpam-5807	150	7	)	)	PUNCT
ejpam-5807	150	8	dρ	dρ	PROPN
ejpam-5807	150	9	=	=	SYM
ejpam-5807	151	1	−	−	PROPN
ejpam-5807	151	2	λ	λ	PROPN
ejpam-5807	151	3	ϖ2	ϖ2	NOUN
ejpam-5807	151	4	∞∫	∞∫	PROPN
ejpam-5807	151	5	0	0	NUM
ejpam-5807	151	6	e−λρg(ρ	e−λρg(ρ	PROPN
ejpam-5807	151	7	,	,	PUNCT
ejpam-5807	151	8	0)dρ+	0)dρ+	NOUN
ejpam-5807	151	9	λ	λ	PROPN
ejpam-5807	151	10	ϖ3	ϖ3	PROPN
ejpam-5807	151	11	∞∫	∞∫	PROPN
ejpam-5807	151	12	0	0	NUM
ejpam-5807	152	1	∞∫	∞∫	PROPN
ejpam-5807	152	2	0	0	PUNCT
ejpam-5807	152	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	152	4	σ	σ	X
ejpam-5807	152	5	ϖ	ϖ	X
ejpam-5807	152	6	g(ρ	g(ρ	PROPN
ejpam-5807	152	7	,	,	PUNCT
ejpam-5807	152	8	σ	σ	PROPN
ejpam-5807	152	9	)	)	PUNCT
ejpam-5807	152	10	dσdρ	dσdρ	NOUN
ejpam-5807	152	11	=	=	SYM
ejpam-5807	152	12	1	1	NUM
ejpam-5807	152	13	ϖg(λ,ϖ)−	ϖg(λ,ϖ)−	VERB
ejpam-5807	152	14	1	1	NUM
ejpam-5807	152	15	ϖ2a(g(ρ	ϖ2a(g(ρ	PROPN
ejpam-5807	152	16	,	,	PUNCT
ejpam-5807	152	17	0	0	NUM
ejpam-5807	152	18	)	)	PUNCT
ejpam-5807	152	19	)	)	PUNCT
ejpam-5807	152	20	.	.	PUNCT
ejpam-5807	153	1	(	(	PUNCT
ejpam-5807	153	2	4	4	X
ejpam-5807	153	3	)	)	PUNCT
ejpam-5807	153	4	aρwσ	aρwσ	PROPN
ejpam-5807	153	5	(	(	PUNCT
ejpam-5807	153	6	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	153	7	,	,	PUNCT
ejpam-5807	153	8	σ	σ	PROPN
ejpam-5807	153	9	)	)	PUNCT
ejpam-5807	153	10	∂σ2	∂σ2	PROPN
ejpam-5807	153	11	)	)	PUNCT
ejpam-5807	154	1	=	=	PUNCT
ejpam-5807	154	2	λ	λ	PROPN
ejpam-5807	154	3	ϖ2	ϖ2	PROPN
ejpam-5807	154	4	∞∫	∞∫	PROPN
ejpam-5807	154	5	0	0	NUM
ejpam-5807	155	1	∞∫	∞∫	PROPN
ejpam-5807	155	2	0	0	PUNCT
ejpam-5807	155	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	155	4	σ	σ	PROPN
ejpam-5807	155	5	ϖ	ϖ	X
ejpam-5807	155	6	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	155	7	,	,	PUNCT
ejpam-5807	155	8	σ	σ	PROPN
ejpam-5807	155	9	)	)	PUNCT
ejpam-5807	155	10	∂σ2	∂σ2	ADV
ejpam-5807	155	11	dρdσ	dρdσ	VERB
ejpam-5807	155	12	=	=	SYM
ejpam-5807	155	13	λ	λ	PROPN
ejpam-5807	155	14	ϖ2	ϖ2	PROPN
ejpam-5807	155	15	∞∫	∞∫	PROPN
ejpam-5807	155	16	0	0	NUM
ejpam-5807	155	17	e−λρ	e−λρ	PROPN
ejpam-5807	155	18	∞∫	∞∫	PROPN
ejpam-5807	155	19	0	0	NUM
ejpam-5807	156	1	e−	e−	PROPN
ejpam-5807	156	2	σ	σ	PROPN
ejpam-5807	156	3	ϖ	ϖ	SYM
ejpam-5807	156	4	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	156	5	,	,	PUNCT
ejpam-5807	156	6	σ	σ	PROPN
ejpam-5807	156	7	)	)	PUNCT
ejpam-5807	156	8	∂σ2	∂σ2	PROPN
ejpam-5807	156	9	dσdρ	dσdρ	NOUN
ejpam-5807	156	10	.	.	PUNCT
ejpam-5807	157	1	by	by	ADP
ejpam-5807	157	2	integrating	integrate	VERB
ejpam-5807	157	3	by	by	ADP
ejpam-5807	157	4	parts	part	NOUN
ejpam-5807	157	5	,	,	PUNCT
ejpam-5807	157	6	we	we	PRON
ejpam-5807	157	7	get	get	VERB
ejpam-5807	157	8	aρwσ	aρwσ	ADJ
ejpam-5807	157	9	(	(	PUNCT
ejpam-5807	157	10	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	157	11	,	,	PUNCT
ejpam-5807	157	12	σ	σ	PROPN
ejpam-5807	157	13	)	)	PUNCT
ejpam-5807	157	14	∂σ2	∂σ2	PROPN
ejpam-5807	157	15	)	)	PUNCT
ejpam-5807	158	1	=	=	PUNCT
ejpam-5807	158	2	λ	λ	PROPN
ejpam-5807	158	3	ϖ2	ϖ2	PROPN
ejpam-5807	158	4	∞∫	∞∫	PROPN
ejpam-5807	158	5	0	0	NUM
ejpam-5807	159	1	e−λρ	e−λρ	PROPN
ejpam-5807	159	2	(	(	PUNCT
ejpam-5807	159	3	−gσ(ρ	−gσ(ρ	PROPN
ejpam-5807	159	4	,	,	PUNCT
ejpam-5807	159	5	0)−	0)−	NUM
ejpam-5807	159	6	1	1	NUM
ejpam-5807	159	7	ϖg(ρ	ϖg(ρ	NOUN
ejpam-5807	159	8	,	,	PUNCT
ejpam-5807	159	9	0	0	NUM
ejpam-5807	159	10	)	)	PUNCT
ejpam-5807	159	11	+	+	CCONJ
ejpam-5807	159	12	1	1	NUM
ejpam-5807	159	13	ϖ2	ϖ2	NOUN
ejpam-5807	159	14	∞∫	∞∫	PROPN
ejpam-5807	159	15	0	0	NUM
ejpam-5807	160	1	e−	e−	PROPN
ejpam-5807	160	2	σ	σ	X
ejpam-5807	160	3	ϖ	ϖ	X
ejpam-5807	160	4	g(ρ	g(ρ	PROPN
ejpam-5807	160	5	,	,	PUNCT
ejpam-5807	160	6	σ)dσ	σ)dσ	PROPN
ejpam-5807	160	7	)	)	PUNCT
ejpam-5807	160	8	dρ	dρ	PROPN
ejpam-5807	160	9	=	=	SYM
ejpam-5807	161	1	−	−	PROPN
ejpam-5807	161	2	λ	λ	PROPN
ejpam-5807	161	3	ϖ2	ϖ2	NOUN
ejpam-5807	161	4	∞∫	∞∫	PROPN
ejpam-5807	161	5	0	0	PUNCT
ejpam-5807	162	1	e−λρgσ(ρ	e−λρgσ(ρ	PROPN
ejpam-5807	162	2	,	,	PUNCT
ejpam-5807	162	3	0)dρ−	0)dρ−	NUM
ejpam-5807	162	4	λ	λ	PROPN
ejpam-5807	162	5	ϖ3	ϖ3	VERB
ejpam-5807	162	6	∞∫	∞∫	PROPN
ejpam-5807	162	7	0	0	NUM
ejpam-5807	162	8	e−λρg(ρ	e−λρg(ρ	PROPN
ejpam-5807	162	9	,	,	PUNCT
ejpam-5807	162	10	0)dρ+	0)dρ+	NOUN
ejpam-5807	162	11	λ	λ	PROPN
ejpam-5807	162	12	ϖ4	ϖ4	PROPN
ejpam-5807	162	13	∞∫	∞∫	PROPN
ejpam-5807	162	14	0	0	NUM
ejpam-5807	162	15	∞∫	∞∫	PROPN
ejpam-5807	162	16	0	0	PUNCT
ejpam-5807	162	17	e−λρ−	e−λρ−	PROPN
ejpam-5807	163	1	σ	σ	X
ejpam-5807	163	2	ϖ	ϖ	X
ejpam-5807	163	3	g(ρ	g(ρ	PROPN
ejpam-5807	163	4	,	,	PUNCT
ejpam-5807	163	5	σ)dσdρ	σ)dσdρ	X
ejpam-5807	163	6	=	=	SYM
ejpam-5807	163	7	1	1	NUM
ejpam-5807	163	8	ϖ2g(λ,ϖ)−	ϖ2g(λ,ϖ)−	X
ejpam-5807	163	9	1	1	NUM
ejpam-5807	163	10	ϖ3a(g(ρ	ϖ3a(g(ρ	ADJ
ejpam-5807	163	11	,	,	PUNCT
ejpam-5807	163	12	0))−	0))−	NUM
ejpam-5807	163	13	1	1	NUM
ejpam-5807	163	14	ϖ2a(gσ(ρ	ϖ2a(gσ(ρ	NUM
ejpam-5807	163	15	,	,	PUNCT
ejpam-5807	163	16	0	0	NUM
ejpam-5807	163	17	)	)	PUNCT
ejpam-5807	163	18	)	)	PUNCT
ejpam-5807	163	19	.	.	PUNCT
ejpam-5807	164	1	(	(	PUNCT
ejpam-5807	164	2	5	5	X
ejpam-5807	164	3	)	)	PUNCT
ejpam-5807	164	4	aρwσ	aρwσ	NOUN
ejpam-5807	164	5	(	(	PUNCT
ejpam-5807	164	6	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	164	7	,	,	PUNCT
ejpam-5807	164	8	σ	σ	NOUN
ejpam-5807	164	9	)	)	PUNCT
ejpam-5807	164	10	∂ρ∂σ	∂ρ∂σ	NOUN
ejpam-5807	164	11	)	)	PUNCT
ejpam-5807	165	1	=	=	PUNCT
ejpam-5807	165	2	λ	λ	PROPN
ejpam-5807	165	3	ϖ2	ϖ2	PROPN
ejpam-5807	165	4	∞∫	∞∫	PROPN
ejpam-5807	165	5	0	0	NUM
ejpam-5807	166	1	∞∫	∞∫	PROPN
ejpam-5807	166	2	0	0	PUNCT
ejpam-5807	166	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	166	4	σ	σ	PROPN
ejpam-5807	166	5	ϖ	ϖ	X
ejpam-5807	166	6	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	166	7	,	,	PUNCT
ejpam-5807	166	8	σ	σ	NOUN
ejpam-5807	166	9	)	)	PUNCT
ejpam-5807	166	10	∂ρ∂σ	∂ρ∂σ	NOUN
ejpam-5807	166	11	dρdσ	dρdσ	VERB
ejpam-5807	166	12	=	=	SYM
ejpam-5807	166	13	λ	λ	PROPN
ejpam-5807	166	14	ϖ2	ϖ2	PROPN
ejpam-5807	166	15	∞∫	∞∫	PROPN
ejpam-5807	166	16	0	0	NUM
ejpam-5807	167	1	e−	e−	PROPN
ejpam-5807	167	2	σ	σ	PROPN
ejpam-5807	167	3	ϖ	ϖ	X
ejpam-5807	167	4	∞∫	∞∫	PROPN
ejpam-5807	167	5	0	0	NUM
ejpam-5807	167	6	e−λρ	e−λρ	PROPN
ejpam-5807	167	7	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	167	8	,	,	PUNCT
ejpam-5807	167	9	σ	σ	PROPN
ejpam-5807	167	10	)	)	PUNCT
ejpam-5807	167	11	∂ρ∂σ	∂ρ∂σ	NOUN
ejpam-5807	167	12	dρdσ	dρdσ	NOUN
ejpam-5807	167	13	by	by	ADP
ejpam-5807	167	14	integrating	integrate	VERB
ejpam-5807	167	15	by	by	ADP
ejpam-5807	167	16	parts	part	NOUN
ejpam-5807	167	17	,	,	PUNCT
ejpam-5807	167	18	we	we	PRON
ejpam-5807	167	19	get	get	VERB
ejpam-5807	167	20	aρwσ	aρwσ	ADJ
ejpam-5807	167	21	(	(	PUNCT
ejpam-5807	167	22	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	167	23	,	,	PUNCT
ejpam-5807	167	24	σ	σ	NOUN
ejpam-5807	167	25	)	)	PUNCT
ejpam-5807	167	26	∂ρ∂σ	∂ρ∂σ	NOUN
ejpam-5807	167	27	)	)	PUNCT
ejpam-5807	168	1	=	=	PUNCT
ejpam-5807	168	2	λ	λ	PROPN
ejpam-5807	168	3	ϖ2	ϖ2	NOUN
ejpam-5807	168	4	∞∫	∞∫	PROPN
ejpam-5807	168	5	0	0	NUM
ejpam-5807	169	1	e−	e−	PROPN
ejpam-5807	169	2	σ	σ	X
ejpam-5807	169	3	ϖ	ϖ	PROPN
ejpam-5807	169	4	(	(	PUNCT
ejpam-5807	169	5	−gσ(0	−gσ(0	PROPN
ejpam-5807	169	6	,	,	PUNCT
ejpam-5807	169	7	σ	σ	PROPN
ejpam-5807	169	8	)	)	PUNCT
ejpam-5807	169	9	+	+	PROPN
ejpam-5807	169	10	λ	λ	X
ejpam-5807	169	11	∞∫	∞∫	PROPN
ejpam-5807	169	12	0	0	PUNCT
ejpam-5807	170	1	e−λρgσ(ρ	e−λρgσ(ρ	PROPN
ejpam-5807	170	2	,	,	PUNCT
ejpam-5807	170	3	σ	σ	PROPN
ejpam-5807	170	4	)	)	PUNCT
ejpam-5807	170	5	dρ	dρ	PROPN
ejpam-5807	170	6	)	)	PUNCT
ejpam-5807	171	1	dσ	dσ	PROPN
ejpam-5807	171	2	=	=	PUNCT
ejpam-5807	171	3	−	−	PROPN
ejpam-5807	171	4	λ	λ	PROPN
ejpam-5807	171	5	ϖ2	ϖ2	NOUN
ejpam-5807	171	6	∞∫	∞∫	PROPN
ejpam-5807	171	7	0	0	NUM
ejpam-5807	172	1	e−	e−	PROPN
ejpam-5807	172	2	σ	σ	X
ejpam-5807	172	3	ϖ	ϖ	X
ejpam-5807	172	4	gσ(0	gσ(0	PROPN
ejpam-5807	172	5	,	,	PUNCT
ejpam-5807	172	6	σ)dσ	σ)dσ	PROPN
ejpam-5807	172	7	+	+	NUM
ejpam-5807	172	8	λ2	λ2	PROPN
ejpam-5807	172	9	ϖ2	ϖ2	NOUN
ejpam-5807	172	10	∞∫	∞∫	PROPN
ejpam-5807	172	11	0	0	NUM
ejpam-5807	173	1	∞∫	∞∫	PROPN
ejpam-5807	173	2	0	0	PUNCT
ejpam-5807	173	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	173	4	σ	σ	PROPN
ejpam-5807	173	5	ϖ	ϖ	INTJ
ejpam-5807	173	6	gσ(ρ	gσ(ρ	PROPN
ejpam-5807	173	7	,	,	PUNCT
ejpam-5807	173	8	σ)dρdσ	σ)dρdσ	VERB
ejpam-5807	173	9	r.	r.	PROPN
ejpam-5807	173	10	abu	abu	PROPN
ejpam-5807	173	11	awwad	awwad	PROPN
ejpam-5807	173	12	et	et	PROPN
ejpam-5807	173	13	al	al	PROPN
ejpam-5807	173	14	.	.	PUNCT
ejpam-5807	173	15	/	/	SYM
ejpam-5807	173	16	eur	eur	PROPN
ejpam-5807	173	17	.	.	PUNCT
ejpam-5807	174	1	j.	j.	PROPN
ejpam-5807	174	2	pure	pure	PROPN
ejpam-5807	174	3	appl	appl	PROPN
ejpam-5807	174	4	.	.	PROPN
ejpam-5807	174	5	math	math	PROPN
ejpam-5807	174	6	,	,	PUNCT
ejpam-5807	174	7	18	18	NUM
ejpam-5807	174	8	(	(	PUNCT
ejpam-5807	174	9	1	1	NUM
ejpam-5807	174	10	)	)	PUNCT
ejpam-5807	174	11	(	(	PUNCT
ejpam-5807	174	12	2025	2025	NUM
ejpam-5807	174	13	)	)	PUNCT
ejpam-5807	174	14	,	,	PUNCT
ejpam-5807	174	15	5807	5807	NUM
ejpam-5807	174	16	8	8	NUM
ejpam-5807	174	17	of	of	ADP
ejpam-5807	174	18	16	16	NUM
ejpam-5807	174	19	=	=	SYM
ejpam-5807	174	20	−λw	−λw	NOUN
ejpam-5807	174	21	(	(	PUNCT
ejpam-5807	174	22	gσ(0	gσ(0	PROPN
ejpam-5807	174	23	,	,	PUNCT
ejpam-5807	174	24	σ	σ	PROPN
ejpam-5807	174	25	)	)	PUNCT
ejpam-5807	174	26	)	)	PUNCT
ejpam-5807	175	1	+	+	CCONJ
ejpam-5807	175	2	λaρwσ	λaρwσ	NOUN
ejpam-5807	175	3	(	(	PUNCT
ejpam-5807	175	4	gσ(ρ	gσ(ρ	X
ejpam-5807	175	5	,	,	PUNCT
ejpam-5807	175	6	σ	σ	NOUN
ejpam-5807	175	7	)	)	PUNCT
ejpam-5807	175	8	)	)	PUNCT
ejpam-5807	175	9	using	use	VERB
ejpam-5807	175	10	equations	equation	NOUN
ejpam-5807	175	11	9	9	NUM
ejpam-5807	175	12	and	and	CCONJ
ejpam-5807	175	13	13	13	NUM
ejpam-5807	175	14	we	we	PRON
ejpam-5807	175	15	get	get	VERB
ejpam-5807	175	16	aρwσ	aρwσ	ADJ
ejpam-5807	175	17	(	(	PUNCT
ejpam-5807	175	18	∂2g(ρ	∂2g(ρ	PROPN
ejpam-5807	175	19	,	,	PUNCT
ejpam-5807	175	20	σ	σ	NOUN
ejpam-5807	175	21	)	)	PUNCT
ejpam-5807	175	22	∂ρ∂σ	∂ρ∂σ	NOUN
ejpam-5807	175	23	)	)	PUNCT
ejpam-5807	176	1	=	=	PUNCT
ejpam-5807	176	2	λ	λ	NOUN
ejpam-5807	176	3	ϖg(λ,ϖ)−	ϖg(λ,ϖ)−	VERB
ejpam-5807	176	4	λ	λ	PROPN
ejpam-5807	176	5	ϖ2a(g(ρ	ϖ2a(g(ρ	PROPN
ejpam-5807	176	6	,	,	PUNCT
ejpam-5807	176	7	0))−	0))−	PUNCT
ejpam-5807	177	1	λ	λ	X
ejpam-5807	177	2	ϖw	ϖw	INTJ
ejpam-5807	177	3	(	(	PUNCT
ejpam-5807	177	4	g(0	g(0	PROPN
ejpam-5807	177	5	,	,	PUNCT
ejpam-5807	177	6	σ	σ	PROPN
ejpam-5807	177	7	)	)	PUNCT
ejpam-5807	177	8	)	)	PUNCT
ejpam-5807	178	1	+	+	CCONJ
ejpam-5807	178	2	λ	λ	X
ejpam-5807	178	3	ϖ2	ϖ2	NOUN
ejpam-5807	178	4	g(0	g(0	NOUN
ejpam-5807	178	5	,	,	PUNCT
ejpam-5807	178	6	0	0	NUM
ejpam-5807	178	7	)	)	PUNCT
ejpam-5807	178	8	.	.	PUNCT
ejpam-5807	179	1	3.3	3.3	NUM
ejpam-5807	179	2	.	.	PUNCT
ejpam-5807	180	1	convolution	convolution	NOUN
ejpam-5807	180	2	theorem	theorem	NOUN
ejpam-5807	180	3	of	of	ADP
ejpam-5807	180	4	double	double	ADJ
ejpam-5807	180	5	ara	ara	NOUN
ejpam-5807	180	6	-	-	PUNCT
ejpam-5807	180	7	sawi	sawi	NOUN
ejpam-5807	180	8	transform	transform	NOUN
ejpam-5807	180	9	let	let	VERB
ejpam-5807	180	10	h(ρ	h(ρ	PROPN
ejpam-5807	180	11	,	,	PUNCT
ejpam-5807	180	12	σ	σ	PROPN
ejpam-5807	180	13	)	)	PUNCT
ejpam-5807	180	14	represent	represent	VERB
ejpam-5807	180	15	the	the	DET
ejpam-5807	180	16	heaviside	heaviside	ADJ
ejpam-5807	180	17	unit	unit	NOUN
ejpam-5807	180	18	step	step	NOUN
ejpam-5807	180	19	function	function	NOUN
ejpam-5807	180	20	,	,	PUNCT
ejpam-5807	180	21	which	which	PRON
ejpam-5807	180	22	is	be	AUX
ejpam-5807	180	23	defined	define	VERB
ejpam-5807	180	24	as	as	SCONJ
ejpam-5807	180	25	follows	follow	VERB
ejpam-5807	180	26	:	:	PUNCT
ejpam-5807	180	27	h(ρ−	h(ρ−	PROPN
ejpam-5807	180	28	γ	γ	X
ejpam-5807	180	29	,	,	PUNCT
ejpam-5807	180	30	σ	σ	PROPN
ejpam-5807	180	31	−	−	PROPN
ejpam-5807	180	32	δ	δ	PROPN
ejpam-5807	180	33	)	)	PUNCT
ejpam-5807	181	1	=	=	PRON
ejpam-5807	181	2	{	{	PUNCT
ejpam-5807	181	3	1	1	NUM
ejpam-5807	181	4	,	,	PUNCT
ejpam-5807	181	5	ρ	ρ	PROPN
ejpam-5807	181	6	>	>	X
ejpam-5807	181	7	γ	γ	PROPN
ejpam-5807	181	8	and	and	CCONJ
ejpam-5807	181	9	σ	σ	PROPN
ejpam-5807	181	10	>	>	X
ejpam-5807	181	11	δ	δ	PROPN
ejpam-5807	181	12	0	0	PROPN
ejpam-5807	181	13	,	,	PUNCT
ejpam-5807	181	14	otherwise	otherwise	ADV
ejpam-5807	181	15	then	then	ADV
ejpam-5807	181	16	we	we	PRON
ejpam-5807	181	17	have	have	VERB
ejpam-5807	181	18	the	the	DET
ejpam-5807	181	19	following	follow	VERB
ejpam-5807	181	20	lemma	lemma	PROPN
ejpam-5807	181	21	lemma	lemma	PROPN
ejpam-5807	181	22	1	1	X
ejpam-5807	181	23	.	.	PUNCT
ejpam-5807	182	1	let	let	VERB
ejpam-5807	182	2	g(ρ	g(ρ	PROPN
ejpam-5807	182	3	,	,	PUNCT
ejpam-5807	182	4	σ	σ	PROPN
ejpam-5807	182	5	)	)	PUNCT
ejpam-5807	182	6	be	be	VERB
ejpam-5807	182	7	a	a	DET
ejpam-5807	182	8	continuous	continuous	ADJ
ejpam-5807	182	9	function	function	NOUN
ejpam-5807	182	10	on	on	ADP
ejpam-5807	182	11	(	(	PUNCT
ejpam-5807	182	12	0,∞)×(0,∞	0,∞)×(0,∞	NUM
ejpam-5807	182	13	)	)	PUNCT
ejpam-5807	182	14	and	and	CCONJ
ejpam-5807	182	15	h(ρ	h(ρ	PROPN
ejpam-5807	182	16	,	,	PUNCT
ejpam-5807	182	17	σ	σ	PROPN
ejpam-5807	182	18	)	)	PUNCT
ejpam-5807	182	19	be	be	VERB
ejpam-5807	182	20	the	the	DET
ejpam-5807	182	21	heaviside	heaviside	ADJ
ejpam-5807	182	22	unit	unit	NOUN
ejpam-5807	182	23	step	step	NOUN
ejpam-5807	182	24	function	function	NOUN
ejpam-5807	182	25	.	.	PUNCT
ejpam-5807	183	1	then	then	ADV
ejpam-5807	183	2	aρwσ(g(ρ−γ	aρwσ(g(ρ−γ	VERB
ejpam-5807	183	3	,	,	PUNCT
ejpam-5807	183	4	σ−δ)h(ρ−γ	σ−δ)h(ρ−γ	ADJ
ejpam-5807	183	5	,	,	PUNCT
ejpam-5807	183	6	σ−δ	σ−δ	NOUN
ejpam-5807	183	7	)	)	PUNCT
ejpam-5807	183	8	)	)	PUNCT
ejpam-5807	184	1	=	=	SYM
ejpam-5807	184	2	e−λγ−	e−λγ−	PROPN
ejpam-5807	184	3	δ	δ	PROPN
ejpam-5807	184	4	ϖaρwσ(g(ρ	ϖaρwσ(g(ρ	PROPN
ejpam-5807	184	5	,	,	PUNCT
ejpam-5807	184	6	σ	σ	PROPN
ejpam-5807	184	7	)	)	PUNCT
ejpam-5807	184	8	.	.	PUNCT
ejpam-5807	185	1	proof	proof	NOUN
ejpam-5807	185	2	.	.	PUNCT
ejpam-5807	186	1	we	we	PRON
ejpam-5807	186	2	have	have	VERB
ejpam-5807	186	3	aρwσ(g(ρ−	aρwσ(g(ρ−	PROPN
ejpam-5807	186	4	γ	γ	X
ejpam-5807	186	5	,	,	PUNCT
ejpam-5807	186	6	σ	σ	PROPN
ejpam-5807	186	7	−	−	PROPN
ejpam-5807	186	8	δ)h(ρ−	δ)h(ρ−	ADV
ejpam-5807	186	9	γ	γ	X
ejpam-5807	186	10	,	,	PUNCT
ejpam-5807	186	11	σ	σ	PROPN
ejpam-5807	186	12	−	−	PROPN
ejpam-5807	186	13	δ	δ	PROPN
ejpam-5807	186	14	)	)	PUNCT
ejpam-5807	186	15	)	)	PUNCT
ejpam-5807	187	1	(	(	PUNCT
ejpam-5807	187	2	16	16	NUM
ejpam-5807	187	3	)	)	PUNCT
ejpam-5807	187	4	=	=	SYM
ejpam-5807	188	1	λ	λ	PROPN
ejpam-5807	188	2	ϖ2	ϖ2	PROPN
ejpam-5807	188	3	∞∫	∞∫	PROPN
ejpam-5807	188	4	0	0	NUM
ejpam-5807	189	1	∞∫	∞∫	PROPN
ejpam-5807	189	2	0	0	PUNCT
ejpam-5807	189	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	189	4	σ	σ	PROPN
ejpam-5807	189	5	ϖ	ϖ	PROPN
ejpam-5807	189	6	g(ρ−	g(ρ−	PROPN
ejpam-5807	189	7	γ	γ	PROPN
ejpam-5807	189	8	,	,	PUNCT
ejpam-5807	189	9	σ	σ	PROPN
ejpam-5807	189	10	−	−	PROPN
ejpam-5807	189	11	δ)h(ρ−	δ)h(ρ−	ADV
ejpam-5807	189	12	γ	γ	X
ejpam-5807	189	13	,	,	PUNCT
ejpam-5807	189	14	σ	σ	PROPN
ejpam-5807	189	15	−	−	PROPN
ejpam-5807	189	16	δ)dρdσ	δ)dρdσ	VERB
ejpam-5807	189	17	=	=	PUNCT
ejpam-5807	190	1	λ	λ	PROPN
ejpam-5807	190	2	ϖ2	ϖ2	NOUN
ejpam-5807	190	3	∞∫	∞∫	PROPN
ejpam-5807	190	4	γ	γ	PROPN
ejpam-5807	190	5	∞∫	∞∫	PROPN
ejpam-5807	190	6	δ	δ	PROPN
ejpam-5807	190	7	e−λρ−	e−λρ−	PROPN
ejpam-5807	190	8	σ	σ	PROPN
ejpam-5807	190	9	ϖ	ϖ	PROPN
ejpam-5807	190	10	g(ρ−	g(ρ−	PROPN
ejpam-5807	190	11	γ	γ	PROPN
ejpam-5807	190	12	,	,	PUNCT
ejpam-5807	190	13	σ	σ	PROPN
ejpam-5807	190	14	−	−	PROPN
ejpam-5807	190	15	δ)dρdσ	δ)dρdσ	PROPN
ejpam-5807	190	16	.	.	PUNCT
ejpam-5807	191	1	now	now	ADV
ejpam-5807	191	2	,	,	PUNCT
ejpam-5807	191	3	by	by	ADP
ejpam-5807	191	4	making	make	VERB
ejpam-5807	191	5	the	the	DET
ejpam-5807	191	6	substitution	substitution	NOUN
ejpam-5807	191	7	z	z	NOUN
ejpam-5807	191	8	=	=	PUNCT
ejpam-5807	191	9	ρ−	ρ−	PROPN
ejpam-5807	191	10	γ	γ	PROPN
ejpam-5807	191	11	and	and	CCONJ
ejpam-5807	191	12	w	w	PROPN
ejpam-5807	191	13	=	=	PROPN
ejpam-5807	191	14	σ	σ	PROPN
ejpam-5807	191	15	−	−	PROPN
ejpam-5807	191	16	δ	δ	PROPN
ejpam-5807	191	17	,	,	PUNCT
ejpam-5807	191	18	equation	equation	NOUN
ejpam-5807	191	19	3.3	3.3	NUM
ejpam-5807	191	20	becomes	become	VERB
ejpam-5807	191	21	:	:	PUNCT
ejpam-5807	191	22	aρwσ(g(ρ−	aρwσ(g(ρ−	PROPN
ejpam-5807	191	23	γ	γ	PROPN
ejpam-5807	191	24	,	,	PUNCT
ejpam-5807	191	25	σ	σ	PROPN
ejpam-5807	191	26	−	−	PROPN
ejpam-5807	191	27	δ)h(ρ−	δ)h(ρ−	ADV
ejpam-5807	191	28	γ	γ	X
ejpam-5807	191	29	,	,	PUNCT
ejpam-5807	191	30	σ	σ	PROPN
ejpam-5807	191	31	−	−	PROPN
ejpam-5807	191	32	δ	δ	PROPN
ejpam-5807	191	33	)	)	PUNCT
ejpam-5807	191	34	)	)	PUNCT
ejpam-5807	192	1	=	=	PUNCT
ejpam-5807	192	2	λ	λ	PROPN
ejpam-5807	192	3	ϖ2	ϖ2	PROPN
ejpam-5807	192	4	∞∫	∞∫	PROPN
ejpam-5807	192	5	0	0	NUM
ejpam-5807	193	1	∞∫	∞∫	NOUN
ejpam-5807	193	2	0	0	NUM
ejpam-5807	193	3	e−λ(z+γ)−	e−λ(z+γ)−	X
ejpam-5807	193	4	(	(	PUNCT
ejpam-5807	193	5	w+δ	w+δ	NUM
ejpam-5807	193	6	)	)	PUNCT
ejpam-5807	193	7	ϖ	ϖ	X
ejpam-5807	194	1	g(z	g(z	ADJ
ejpam-5807	194	2	,	,	PUNCT
ejpam-5807	194	3	w)dzdw	w)dzdw	NUM
ejpam-5807	194	4	=	=	PUNCT
ejpam-5807	194	5	e−λγ−	e−λγ−	PROPN
ejpam-5807	194	6	δ	δ	PROPN
ejpam-5807	194	7	ϖaρwσ(g(ρ	ϖaρwσ(g(ρ	PROPN
ejpam-5807	194	8	,	,	PUNCT
ejpam-5807	194	9	σ	σ	PROPN
ejpam-5807	194	10	)	)	PUNCT
ejpam-5807	194	11	)	)	PUNCT
ejpam-5807	194	12	.	.	PUNCT
ejpam-5807	195	1	definition	definition	NOUN
ejpam-5807	195	2	4	4	NUM
ejpam-5807	195	3	.	.	PUNCT
ejpam-5807	196	1	let	let	VERB
ejpam-5807	196	2	g(ρ	g(ρ	PROPN
ejpam-5807	196	3	,	,	PUNCT
ejpam-5807	196	4	σ	σ	PROPN
ejpam-5807	196	5	)	)	PUNCT
ejpam-5807	196	6	and	and	CCONJ
ejpam-5807	196	7	k(ρ	k(ρ	PROPN
ejpam-5807	196	8	,	,	PUNCT
ejpam-5807	196	9	σ	σ	PROPN
ejpam-5807	196	10	)	)	PUNCT
ejpam-5807	196	11	be	be	AUX
ejpam-5807	196	12	continuous	continuous	ADJ
ejpam-5807	196	13	functions	function	NOUN
ejpam-5807	196	14	.	.	PUNCT
ejpam-5807	197	1	we	we	PRON
ejpam-5807	197	2	define	define	VERB
ejpam-5807	197	3	the	the	DET
ejpam-5807	197	4	convolution	convolution	NOUN
ejpam-5807	197	5	in	in	ADP
ejpam-5807	197	6	the	the	DET
ejpam-5807	197	7	da	da	PROPN
ejpam-5807	197	8	-	-	PUNCT
ejpam-5807	197	9	swt	swt	PROPN
ejpam-5807	197	10	as	as	ADP
ejpam-5807	197	11	(	(	PUNCT
ejpam-5807	197	12	g	g	NOUN
ejpam-5807	197	13	∗	∗	NOUN
ejpam-5807	197	14	∗k)(ρ	∗k)(ρ	NOUN
ejpam-5807	197	15	,	,	PUNCT
ejpam-5807	197	16	σ	σ	NOUN
ejpam-5807	197	17	)	)	PUNCT
ejpam-5807	197	18	=	=	PUNCT
ejpam-5807	198	1	ρ∫	ρ∫	NOUN
ejpam-5807	198	2	0	0	NUM
ejpam-5807	199	1	σ∫	σ∫	ADJ
ejpam-5807	199	2	0	0	NUM
ejpam-5807	199	3	g(ρ−	g(ρ−	PROPN
ejpam-5807	199	4	γ	γ	PROPN
ejpam-5807	199	5	,	,	PUNCT
ejpam-5807	199	6	σ	σ	PROPN
ejpam-5807	199	7	−	−	PROPN
ejpam-5807	199	8	δ)k(γ	δ)k(γ	PROPN
ejpam-5807	199	9	,	,	PUNCT
ejpam-5807	199	10	δ)dγdδ	δ)dγdδ	PROPN
ejpam-5807	199	11	.	.	PUNCT
ejpam-5807	200	1	r.	r.	PROPN
ejpam-5807	200	2	abu	abu	PROPN
ejpam-5807	200	3	awwad	awwad	PROPN
ejpam-5807	200	4	et	et	PROPN
ejpam-5807	200	5	al	al	PROPN
ejpam-5807	200	6	.	.	PUNCT
ejpam-5807	200	7	/	/	SYM
ejpam-5807	200	8	eur	eur	PROPN
ejpam-5807	200	9	.	.	PUNCT
ejpam-5807	201	1	j.	j.	PROPN
ejpam-5807	201	2	pure	pure	PROPN
ejpam-5807	201	3	appl	appl	PROPN
ejpam-5807	201	4	.	.	PROPN
ejpam-5807	201	5	math	math	PROPN
ejpam-5807	201	6	,	,	PUNCT
ejpam-5807	201	7	18	18	NUM
ejpam-5807	201	8	(	(	PUNCT
ejpam-5807	201	9	1	1	NUM
ejpam-5807	201	10	)	)	PUNCT
ejpam-5807	201	11	(	(	PUNCT
ejpam-5807	201	12	2025	2025	NUM
ejpam-5807	201	13	)	)	PUNCT
ejpam-5807	201	14	,	,	PUNCT
ejpam-5807	201	15	5807	5807	NUM
ejpam-5807	201	16	9	9	NUM
ejpam-5807	201	17	of	of	ADP
ejpam-5807	201	18	16	16	NUM
ejpam-5807	201	19	in	in	ADP
ejpam-5807	201	20	the	the	DET
ejpam-5807	201	21	following	following	NOUN
ejpam-5807	201	22	theorem	theorem	NOUN
ejpam-5807	201	23	,	,	PUNCT
ejpam-5807	201	24	we	we	PRON
ejpam-5807	201	25	compute	compute	VERB
ejpam-5807	201	26	da	da	PROPN
ejpam-5807	201	27	-	-	PUNCT
ejpam-5807	201	28	swt	swt	PROPN
ejpam-5807	201	29	of	of	ADP
ejpam-5807	201	30	the	the	DET
ejpam-5807	201	31	convolution	convolution	NOUN
ejpam-5807	201	32	of	of	ADP
ejpam-5807	201	33	two	two	NUM
ejpam-5807	201	34	functions	function	NOUN
ejpam-5807	201	35	theorem	theorem	VERB
ejpam-5807	201	36	2	2	NUM
ejpam-5807	201	37	.	.	PUNCT
ejpam-5807	202	1	let	let	VERB
ejpam-5807	202	2	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	202	3	)	)	PUNCT
ejpam-5807	202	4	=	=	SYM
ejpam-5807	202	5	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	202	6	,	,	PUNCT
ejpam-5807	202	7	σ	σ	PROPN
ejpam-5807	202	8	)	)	PUNCT
ejpam-5807	202	9	)	)	PUNCT
ejpam-5807	202	10	and	and	CCONJ
ejpam-5807	202	11	k(λ,ϖ	k(λ,ϖ	NOUN
ejpam-5807	202	12	)	)	PUNCT
ejpam-5807	202	13	=	=	SYM
ejpam-5807	202	14	aρwσ(k(ρ	aρwσ(k(ρ	PROPN
ejpam-5807	202	15	,	,	PUNCT
ejpam-5807	202	16	σ	σ	PROPN
ejpam-5807	202	17	)	)	PUNCT
ejpam-5807	202	18	)	)	PUNCT
ejpam-5807	202	19	.	.	PUNCT
ejpam-5807	203	1	then	then	ADV
ejpam-5807	203	2	aρwσ((g	aρwσ((g	ADP
ejpam-5807	203	3	∗	∗	NOUN
ejpam-5807	203	4	∗k)(ρ	∗k)(ρ	NOUN
ejpam-5807	203	5	,	,	PUNCT
ejpam-5807	203	6	σ	σ	NOUN
ejpam-5807	203	7	)	)	PUNCT
ejpam-5807	203	8	)	)	PUNCT
ejpam-5807	204	1	=	=	PUNCT
ejpam-5807	204	2	ϖ2	ϖ2	NOUN
ejpam-5807	204	3	λ	λ	PROPN
ejpam-5807	204	4	g(λ,ϖ)k(λ,ϖ	g(λ,ϖ)k(λ,ϖ	PROPN
ejpam-5807	204	5	)	)	PUNCT
ejpam-5807	204	6	.	.	PUNCT
ejpam-5807	205	1	proof	proof	NOUN
ejpam-5807	205	2	.	.	PUNCT
ejpam-5807	206	1	aρwσ((g∗∗k)(ρ	aρwσ((g∗∗k)(ρ	NOUN
ejpam-5807	206	2	,	,	PUNCT
ejpam-5807	206	3	σ	σ	NOUN
ejpam-5807	206	4	)	)	PUNCT
ejpam-5807	206	5	)	)	PUNCT
ejpam-5807	207	1	=	=	PUNCT
ejpam-5807	207	2	λ	λ	PROPN
ejpam-5807	207	3	ϖ2	ϖ2	PROPN
ejpam-5807	207	4	∞∫	∞∫	PROPN
ejpam-5807	207	5	0	0	NUM
ejpam-5807	208	1	∞∫	∞∫	PROPN
ejpam-5807	208	2	0	0	PUNCT
ejpam-5807	208	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	208	4	σ	σ	X
ejpam-5807	208	5	ϖ	ϖ	INTJ
ejpam-5807	208	6	(	(	PUNCT
ejpam-5807	208	7	g	g	NOUN
ejpam-5807	208	8	∗	∗	NOUN
ejpam-5807	208	9	∗k)(ρ	∗k)(ρ	NOUN
ejpam-5807	208	10	,	,	PUNCT
ejpam-5807	208	11	σ)dρdσ	σ)dρdσ	VERB
ejpam-5807	208	12	=	=	PUNCT
ejpam-5807	208	13	λ	λ	PROPN
ejpam-5807	208	14	ϖ2	ϖ2	PROPN
ejpam-5807	208	15	∞∫	∞∫	PROPN
ejpam-5807	208	16	0	0	NUM
ejpam-5807	209	1	∞∫	∞∫	PROPN
ejpam-5807	209	2	0	0	PUNCT
ejpam-5807	209	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	209	4	σ	σ	X
ejpam-5807	209	5	ϖ	ϖ	X
ejpam-5807	209	6			PROPN
ejpam-5807	209	7	ρ∫	ρ∫	PROPN
ejpam-5807	209	8	0	0	PUNCT
ejpam-5807	210	1	σ∫	σ∫	ADJ
ejpam-5807	210	2	0	0	NUM
ejpam-5807	210	3	g(ρ−	g(ρ−	PROPN
ejpam-5807	210	4	γ	γ	PROPN
ejpam-5807	210	5	,	,	PUNCT
ejpam-5807	210	6	σ	σ	PROPN
ejpam-5807	210	7	−	−	PROPN
ejpam-5807	210	8	δ)k(γ	δ)k(γ	PROPN
ejpam-5807	210	9	,	,	PUNCT
ejpam-5807	210	10	δ)dγdδ	δ)dγdδ	PROPN
ejpam-5807	210	11			PROPN
ejpam-5807	210	12	dρdσ	dρdσ	AUX
ejpam-5807	210	13	.	.	PUNCT
ejpam-5807	211	1	(	(	PUNCT
ejpam-5807	211	2	17	17	NUM
ejpam-5807	211	3	)	)	PUNCT
ejpam-5807	211	4	using	use	VERB
ejpam-5807	211	5	the	the	DET
ejpam-5807	211	6	heaviside	heaviside	ADJ
ejpam-5807	211	7	unit	unit	NOUN
ejpam-5807	211	8	step	step	NOUN
ejpam-5807	211	9	function	function	NOUN
ejpam-5807	211	10	,	,	PUNCT
ejpam-5807	211	11	we	we	PRON
ejpam-5807	211	12	can	can	AUX
ejpam-5807	211	13	write	write	VERB
ejpam-5807	211	14	equation	equation	NOUN
ejpam-5807	211	15	17	17	NUM
ejpam-5807	211	16	as	as	ADP
ejpam-5807	211	17	aρwσ((g∗∗g)(ρ	aρwσ((g∗∗g)(ρ	PROPN
ejpam-5807	211	18	,	,	PUNCT
ejpam-5807	211	19	σ	σ	NOUN
ejpam-5807	211	20	)	)	PUNCT
ejpam-5807	211	21	)	)	PUNCT
ejpam-5807	212	1	=	=	PUNCT
ejpam-5807	212	2	λ	λ	PROPN
ejpam-5807	212	3	ϖ2	ϖ2	PROPN
ejpam-5807	212	4	∞∫	∞∫	PROPN
ejpam-5807	212	5	0	0	NUM
ejpam-5807	213	1	∞∫	∞∫	PROPN
ejpam-5807	213	2	0	0	PUNCT
ejpam-5807	213	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	213	4	σ	σ	X
ejpam-5807	214	1	ϖ	ϖ	X
ejpam-5807	214	2	∞∫	∞∫	NOUN
ejpam-5807	214	3	0	0	NUM
ejpam-5807	214	4	∞∫	∞∫	NOUN
ejpam-5807	214	5	0	0	NUM
ejpam-5807	215	1	g(ρ−	g(ρ−	PROPN
ejpam-5807	215	2	γ	γ	PROPN
ejpam-5807	215	3	,	,	PUNCT
ejpam-5807	215	4	σ	σ	PROPN
ejpam-5807	215	5	−	−	PROPN
ejpam-5807	215	6	δ)h(ρ−	δ)h(ρ−	ADV
ejpam-5807	215	7	γ	γ	X
ejpam-5807	215	8	,	,	PUNCT
ejpam-5807	215	9	σ	σ	PROPN
ejpam-5807	215	10	−	−	PROPN
ejpam-5807	215	11	δ)k(γ	δ)k(γ	PROPN
ejpam-5807	215	12	,	,	PUNCT
ejpam-5807	215	13	δ))dγdδ	δ))dγdδ	VERB
ejpam-5807	215	14			PROPN
ejpam-5807	215	15	dρdσ	dρdσ	VERB
ejpam-5807	215	16	=	=	SYM
ejpam-5807	215	17	∞∫	∞∫	PROPN
ejpam-5807	215	18	0	0	NUM
ejpam-5807	216	1	∞∫	∞∫	PROPN
ejpam-5807	216	2	0	0	NUM
ejpam-5807	217	1	k(γ	k(γ	PROPN
ejpam-5807	217	2	,	,	PUNCT
ejpam-5807	217	3	δ	δ	PROPN
ejpam-5807	217	4	)	)	PUNCT
ejpam-5807	217	5			PROPN
ejpam-5807	217	6	λ	λ	PROPN
ejpam-5807	217	7	ϖ2	ϖ2	PROPN
ejpam-5807	217	8	∞∫	∞∫	PROPN
ejpam-5807	217	9	0	0	NUM
ejpam-5807	218	1	∞∫	∞∫	PROPN
ejpam-5807	218	2	0	0	PUNCT
ejpam-5807	218	3	e−λρ−	e−λρ−	PROPN
ejpam-5807	218	4	σ	σ	PROPN
ejpam-5807	218	5	ϖ	ϖ	PROPN
ejpam-5807	218	6	g(ρ−	g(ρ−	PROPN
ejpam-5807	218	7	γ	γ	PROPN
ejpam-5807	218	8	,	,	PUNCT
ejpam-5807	218	9	σ	σ	PROPN
ejpam-5807	218	10	−	−	PROPN
ejpam-5807	218	11	δ)h(ρ−	δ)h(ρ−	ADV
ejpam-5807	218	12	γ	γ	X
ejpam-5807	218	13	,	,	PUNCT
ejpam-5807	218	14	σ	σ	PROPN
ejpam-5807	218	15	−	−	PROPN
ejpam-5807	218	16	δ)dρdσ	δ)dρdσ	VERB
ejpam-5807	218	17			PROPN
ejpam-5807	218	18	dγdδ	dγdδ	VERB
ejpam-5807	218	19	.	.	PUNCT
ejpam-5807	219	1	so	so	ADV
ejpam-5807	219	2	by	by	ADP
ejpam-5807	219	3	lemma	lemma	PROPN
ejpam-5807	219	4	1	1	NUM
ejpam-5807	219	5	,	,	PUNCT
ejpam-5807	219	6	we	we	PRON
ejpam-5807	219	7	have	have	VERB
ejpam-5807	219	8	aρwσ((g	aρwσ((g	ADP
ejpam-5807	219	9	∗	∗	NOUN
ejpam-5807	219	10	∗k)(ρ	∗k)(ρ	NOUN
ejpam-5807	219	11	,	,	PUNCT
ejpam-5807	219	12	σ	σ	NOUN
ejpam-5807	219	13	)	)	PUNCT
ejpam-5807	219	14	)	)	PUNCT
ejpam-5807	220	1	=	=	SYM
ejpam-5807	220	2	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	220	3	)	)	PUNCT
ejpam-5807	220	4	∞∫	∞∫	NOUN
ejpam-5807	220	5	0	0	NUM
ejpam-5807	220	6	∞∫	∞∫	PROPN
ejpam-5807	220	7	0	0	NUM
ejpam-5807	221	1	k(γ	k(γ	PROPN
ejpam-5807	221	2	,	,	PUNCT
ejpam-5807	221	3	δ)e−λγ−	δ)e−λγ−	PROPN
ejpam-5807	221	4	δ	δ	PROPN
ejpam-5807	221	5	ϖ	ϖ	NOUN
ejpam-5807	221	6	dγdδ	dγdδ	NOUN
ejpam-5807	221	7	=	=	PUNCT
ejpam-5807	221	8	ϖ2	ϖ2	NOUN
ejpam-5807	221	9	λ	λ	PROPN
ejpam-5807	221	10	g(λ,ϖ)k(λ,ϖ	g(λ,ϖ)k(λ,ϖ	PROPN
ejpam-5807	221	11	)	)	PUNCT
ejpam-5807	221	12	.	.	PUNCT
ejpam-5807	222	1	in	in	ADP
ejpam-5807	222	2	table	table	NOUN
ejpam-5807	222	3	1	1	NUM
ejpam-5807	222	4	,	,	PUNCT
ejpam-5807	222	5	we	we	PRON
ejpam-5807	222	6	have	have	VERB
ejpam-5807	222	7	the	the	DET
ejpam-5807	222	8	daht	daht	NOUN
ejpam-5807	222	9	of	of	ADP
ejpam-5807	222	10	some	some	DET
ejpam-5807	222	11	basic	basic	ADJ
ejpam-5807	222	12	functions	function	NOUN
ejpam-5807	222	13	.	.	PUNCT
ejpam-5807	223	1	r.	r.	PROPN
ejpam-5807	223	2	abu	abu	PROPN
ejpam-5807	223	3	awwad	awwad	PROPN
ejpam-5807	223	4	et	et	PROPN
ejpam-5807	223	5	al	al	PROPN
ejpam-5807	223	6	.	.	PUNCT
ejpam-5807	223	7	/	/	SYM
ejpam-5807	223	8	eur	eur	PROPN
ejpam-5807	223	9	.	.	PUNCT
ejpam-5807	224	1	j.	j.	PROPN
ejpam-5807	224	2	pure	pure	PROPN
ejpam-5807	224	3	appl	appl	PROPN
ejpam-5807	224	4	.	.	PROPN
ejpam-5807	224	5	math	math	PROPN
ejpam-5807	224	6	,	,	PUNCT
ejpam-5807	224	7	18	18	NUM
ejpam-5807	224	8	(	(	PUNCT
ejpam-5807	224	9	1	1	NUM
ejpam-5807	224	10	)	)	PUNCT
ejpam-5807	224	11	(	(	PUNCT
ejpam-5807	224	12	2025	2025	NUM
ejpam-5807	224	13	)	)	PUNCT
ejpam-5807	224	14	,	,	PUNCT
ejpam-5807	224	15	5807	5807	NUM
ejpam-5807	224	16	10	10	NUM
ejpam-5807	224	17	of	of	ADP
ejpam-5807	224	18	16	16	NUM
ejpam-5807	224	19	table	table	NOUN
ejpam-5807	224	20	1	1	NUM
ejpam-5807	224	21	:	:	PUNCT
ejpam-5807	224	22	table	table	NOUN
ejpam-5807	224	23	of	of	ADP
ejpam-5807	224	24	daht	daht	PROPN
ejpam-5807	224	25	g(ρ	g(ρ	PROPN
ejpam-5807	224	26	,	,	PUNCT
ejpam-5807	224	27	σ	σ	PROPN
ejpam-5807	224	28	)	)	PUNCT
ejpam-5807	224	29	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	224	30	,	,	PUNCT
ejpam-5807	224	31	σ	σ	PROPN
ejpam-5807	224	32	)	)	PUNCT
ejpam-5807	224	33	)	)	PUNCT
ejpam-5807	224	34	1	1	NUM
ejpam-5807	224	35	1	1	NUM
ejpam-5807	224	36	ϖ	ϖ	NOUN
ejpam-5807	224	37	,	,	PUNCT
ejpam-5807	224	38	re(λ	re(λ	NOUN
ejpam-5807	224	39	)	)	PUNCT
ejpam-5807	224	40	>	>	SYM
ejpam-5807	224	41	0	0	PUNCT
ejpam-5807	225	1	ργσδ	ργσδ	NOUN
ejpam-5807	225	2	ϖδ−1	ϖδ−1	PROPN
ejpam-5807	225	3	λγ	λγ	X
ejpam-5807	225	4	γ(γ	γ(γ	PROPN
ejpam-5807	225	5	+	+	CCONJ
ejpam-5807	225	6	1)γ(δ	1)γ(δ	NUM
ejpam-5807	226	1	+	+	CCONJ
ejpam-5807	226	2	1	1	NUM
ejpam-5807	226	3	)	)	PUNCT
ejpam-5807	226	4	,	,	PUNCT
ejpam-5807	226	5	re(λ	re(λ	ADP
ejpam-5807	226	6	)	)	PUNCT
ejpam-5807	226	7	>	>	X
ejpam-5807	226	8	0	0	NUM
ejpam-5807	226	9	and	and	CCONJ
ejpam-5807	226	10	re(γ	re(γ	NOUN
ejpam-5807	226	11	)	)	PUNCT
ejpam-5807	227	1	>	>	X
ejpam-5807	227	2	−1	−1	NOUN
ejpam-5807	228	1	eγρ+δσ	eγρ+δσ	PROPN
ejpam-5807	228	2	λ	λ	NOUN
ejpam-5807	228	3	ϖ(λ−γ)(1−δϖ	ϖ(λ−γ)(1−δϖ	NOUN
ejpam-5807	228	4	)	)	PUNCT
ejpam-5807	228	5	,	,	PUNCT
ejpam-5807	228	6	re(λ	re(λ	NOUN
ejpam-5807	228	7	)	)	PUNCT
ejpam-5807	228	8	>	>	X
ejpam-5807	228	9	re(γ	re(γ	NOUN
ejpam-5807	228	10	)	)	PUNCT
ejpam-5807	228	11	ei(γρ+δσ	ei(γρ+δσ	X
ejpam-5807	228	12	)	)	PUNCT
ejpam-5807	228	13	iλ	iλ	NOUN
ejpam-5807	228	14	ϖ(λ−iγ)(i+δϖ	ϖ(λ−iγ)(i+δϖ	NOUN
ejpam-5807	228	15	)	)	PUNCT
ejpam-5807	228	16	,	,	PUNCT
ejpam-5807	228	17	im(γ	im(γ	NOUN
ejpam-5807	228	18	)	)	PUNCT
ejpam-5807	229	1	+	+	CCONJ
ejpam-5807	230	1	re(λ	re(λ	NOUN
ejpam-5807	230	2	)	)	PUNCT
ejpam-5807	230	3	>	>	SYM
ejpam-5807	230	4	0	0	NUM
ejpam-5807	230	5	sin	sin	NOUN
ejpam-5807	230	6	(	(	PUNCT
ejpam-5807	230	7	γρ+	γρ+	NOUN
ejpam-5807	230	8	δσ	δσ	NOUN
ejpam-5807	230	9	)	)	PUNCT
ejpam-5807	230	10	λ(γ+λϖδ	λ(γ+λϖδ	NOUN
ejpam-5807	230	11	)	)	PUNCT
ejpam-5807	230	12	ϖ(λ2+γ2)(1+δ2ϖ2	ϖ(λ2+γ2)(1+δ2ϖ2	PROPN
ejpam-5807	230	13	)	)	PUNCT
ejpam-5807	230	14	,	,	PUNCT
ejpam-5807	230	15	|im(γ)|	|im(γ)|	VERB
ejpam-5807	230	16	<	<	X
ejpam-5807	230	17	re(λ	re(λ	NOUN
ejpam-5807	230	18	)	)	PUNCT
ejpam-5807	231	1	cos	cos	PROPN
ejpam-5807	231	2	(	(	PUNCT
ejpam-5807	231	3	γρ+	γρ+	PROPN
ejpam-5807	231	4	δσ	δσ	PROPN
ejpam-5807	231	5	)	)	PUNCT
ejpam-5807	231	6	λ(λ−ϖγδ	λ(λ−ϖγδ	PROPN
ejpam-5807	231	7	)	)	PUNCT
ejpam-5807	231	8	ϖ(λ2+γ2)(1+δ2ϖ2	ϖ(λ2+γ2)(1+δ2ϖ2	PROPN
ejpam-5807	231	9	)	)	PUNCT
ejpam-5807	231	10	,	,	PUNCT
ejpam-5807	231	11	|im(γ)|	|im(γ)|	VERB
ejpam-5807	231	12	<	<	X
ejpam-5807	231	13	re(λ	re(λ	NOUN
ejpam-5807	231	14	)	)	PUNCT
ejpam-5807	231	15	sinh	sinh	NOUN
ejpam-5807	231	16	(	(	PUNCT
ejpam-5807	231	17	γρ+	γρ+	NOUN
ejpam-5807	231	18	δσ	δσ	PROPN
ejpam-5807	231	19	)	)	PUNCT
ejpam-5807	231	20	λ(γ+λϖδ	λ(γ+λϖδ	NOUN
ejpam-5807	231	21	)	)	PUNCT
ejpam-5807	231	22	ϖ(λ2−γ2)(1−δ2ϖ2	ϖ(λ2−γ2)(1−δ2ϖ2	PROPN
ejpam-5807	231	23	)	)	PUNCT
ejpam-5807	231	24	,	,	PUNCT
ejpam-5807	231	25	re(λ	re(λ	NOUN
ejpam-5807	231	26	)	)	PUNCT
ejpam-5807	231	27	>	>	X
ejpam-5807	231	28	re(γ	re(γ	NOUN
ejpam-5807	231	29	)	)	PUNCT
ejpam-5807	231	30	and	and	CCONJ
ejpam-5807	231	31	re(λ	re(λ	NUM
ejpam-5807	231	32	)	)	PUNCT
ejpam-5807	231	33	+	+	NUM
ejpam-5807	231	34	re(γ	re(γ	NOUN
ejpam-5807	231	35	)	)	PUNCT
ejpam-5807	231	36	>	>	SYM
ejpam-5807	231	37	0	0	NUM
ejpam-5807	232	1	cosh	cosh	NOUN
ejpam-5807	232	2	(	(	PUNCT
ejpam-5807	232	3	γρ+	γρ+	NOUN
ejpam-5807	232	4	δσ	δσ	NOUN
ejpam-5807	232	5	)	)	PUNCT
ejpam-5807	232	6	λ(λ+ϖγδ	λ(λ+ϖγδ	NOUN
ejpam-5807	232	7	)	)	PUNCT
ejpam-5807	232	8	ϖ(λ2−γ2)(1−δ2ϖ2	ϖ(λ2−γ2)(1−δ2ϖ2	PROPN
ejpam-5807	232	9	)	)	PUNCT
ejpam-5807	232	10	,	,	PUNCT
ejpam-5807	232	11	re(λ	re(λ	NOUN
ejpam-5807	232	12	)	)	PUNCT
ejpam-5807	232	13	>	>	X
ejpam-5807	232	14	re(γ	re(γ	NOUN
ejpam-5807	232	15	)	)	PUNCT
ejpam-5807	232	16	and	and	CCONJ
ejpam-5807	232	17	re(λ	re(λ	NUM
ejpam-5807	232	18	)	)	PUNCT
ejpam-5807	232	19	+	+	NUM
ejpam-5807	232	20	re(γ	re(γ	NOUN
ejpam-5807	232	21	)	)	PUNCT
ejpam-5807	232	22	>	>	X
ejpam-5807	232	23	0	0	NUM
ejpam-5807	232	24	s(ρ)r(σ	s(ρ)r(σ	PROPN
ejpam-5807	232	25	)	)	PUNCT
ejpam-5807	232	26	a(s(ρ))w	a(s(ρ))w	PROPN
ejpam-5807	232	27	(	(	PUNCT
ejpam-5807	232	28	r(σ	r(σ	PROPN
ejpam-5807	232	29	)	)	PUNCT
ejpam-5807	232	30	)	)	PUNCT
ejpam-5807	233	1	g(ρ−	g(ρ−	PROPN
ejpam-5807	233	2	γ	γ	PROPN
ejpam-5807	233	3	,	,	PUNCT
ejpam-5807	233	4	σ	σ	PROPN
ejpam-5807	233	5	−	−	PROPN
ejpam-5807	233	6	δ)h(ρ−	δ)h(ρ−	ADV
ejpam-5807	233	7	γ	γ	X
ejpam-5807	233	8	,	,	PUNCT
ejpam-5807	233	9	σ	σ	PROPN
ejpam-5807	233	10	−	−	PROPN
ejpam-5807	233	11	δ	δ	PROPN
ejpam-5807	233	12	)	)	PUNCT
ejpam-5807	233	13	e−λγ−	e−λγ−	PROPN
ejpam-5807	233	14	δ	δ	PROPN
ejpam-5807	233	15	ϖaρwσ(g(ρ	ϖaρwσ(g(ρ	PROPN
ejpam-5807	233	16	,	,	PUNCT
ejpam-5807	233	17	σ	σ	PROPN
ejpam-5807	233	18	)	)	PUNCT
ejpam-5807	233	19	(	(	PUNCT
ejpam-5807	233	20	g	g	NOUN
ejpam-5807	233	21	∗	∗	NOUN
ejpam-5807	233	22	∗f)(ρ	∗f)(ρ	NOUN
ejpam-5807	233	23	,	,	PUNCT
ejpam-5807	233	24	σ	σ	NOUN
ejpam-5807	233	25	)	)	PUNCT
ejpam-5807	233	26	ϖ2	ϖ2	PROPN
ejpam-5807	233	27	λ	λ	PROPN
ejpam-5807	233	28	aρwσ(g(ρ	aρwσ(g(ρ	PROPN
ejpam-5807	233	29	,	,	PUNCT
ejpam-5807	233	30	σ))aρwσ(f(ρ	σ))aρwσ(f(ρ	PROPN
ejpam-5807	233	31	,	,	PUNCT
ejpam-5807	233	32	σ	σ	PROPN
ejpam-5807	233	33	)	)	PUNCT
ejpam-5807	233	34	)	)	PUNCT
ejpam-5807	234	1	j0	j0	PROPN
ejpam-5807	234	2	(	(	PUNCT
ejpam-5807	234	3	c	c	NOUN
ejpam-5807	234	4	√	√	PROPN
ejpam-5807	234	5	ρσ	ρσ	ADP
ejpam-5807	234	6	)	)	PUNCT
ejpam-5807	234	7	4λ	4λ	PROPN
ejpam-5807	234	8	ϖ(4λ+c2ϖ	ϖ(4λ+c2ϖ	PROPN
ejpam-5807	234	9	)	)	PUNCT
ejpam-5807	234	10	,	,	PUNCT
ejpam-5807	234	11	re	re	ADP
ejpam-5807	234	12	(	(	PUNCT
ejpam-5807	234	13	λ+	λ+	PUNCT
ejpam-5807	234	14	c2ϖ	c2ϖ	PROPN
ejpam-5807	234	15	4	4	NUM
ejpam-5807	234	16	)	)	PUNCT
ejpam-5807	234	17	>	>	X
ejpam-5807	234	18	0	0	NUM
ejpam-5807	234	19	4	4	NUM
ejpam-5807	234	20	.	.	PUNCT
ejpam-5807	234	21	applications	application	NOUN
ejpam-5807	234	22	in	in	ADP
ejpam-5807	234	23	this	this	DET
ejpam-5807	234	24	section	section	NOUN
ejpam-5807	234	25	,	,	PUNCT
ejpam-5807	234	26	we	we	PRON
ejpam-5807	234	27	use	use	VERB
ejpam-5807	234	28	the	the	DET
ejpam-5807	234	29	da	da	PROPN
ejpam-5807	234	30	-	-	PUNCT
ejpam-5807	234	31	swt	swt	PROPN
ejpam-5807	234	32	for	for	ADP
ejpam-5807	234	33	solving	solve	VERB
ejpam-5807	234	34	pdes	pde	NOUN
ejpam-5807	234	35	and	and	CCONJ
ejpam-5807	234	36	integro	integro	PROPN
ejpam-5807	234	37	pdes	pde	NOUN
ejpam-5807	234	38	example	example	NOUN
ejpam-5807	235	1	1	1	X
ejpam-5807	235	2	.	.	X
ejpam-5807	235	3	consider	consider	VERB
ejpam-5807	235	4	the	the	DET
ejpam-5807	235	5	heat	heat	NOUN
ejpam-5807	235	6	equation	equation	NOUN
ejpam-5807	235	7	gσ	gσ	NOUN
ejpam-5807	235	8	−	−	NOUN
ejpam-5807	235	9	gρρ	gρρ	NOUN
ejpam-5807	235	10	=	=	NOUN
ejpam-5807	235	11	2	2	NUM
ejpam-5807	235	12	g	g	NOUN
ejpam-5807	235	13	+	+	NUM
ejpam-5807	235	14	6σ	6σ	NOUN
ejpam-5807	235	15	−	−	ADP
ejpam-5807	235	16	3	3	NUM
ejpam-5807	235	17	,	,	PUNCT
ejpam-5807	235	18	where	where	SCONJ
ejpam-5807	235	19	ρ	ρ	NOUN
ejpam-5807	235	20	,	,	PUNCT
ejpam-5807	235	21	σ	σ	PROPN
ejpam-5807	235	22	>	>	X
ejpam-5807	235	23	0	0	NUM
ejpam-5807	235	24	,	,	PUNCT
ejpam-5807	235	25	with	with	ADP
ejpam-5807	235	26	ics	ics	PROPN
ejpam-5807	235	27	g(ρ	g(ρ	PROPN
ejpam-5807	235	28	,	,	PUNCT
ejpam-5807	235	29	0	0	NUM
ejpam-5807	235	30	)	)	PUNCT
ejpam-5807	235	31	=	=	X
ejpam-5807	235	32	sin	sin	NOUN
ejpam-5807	235	33	ρ	ρ	NOUN
ejpam-5807	235	34	,	,	PUNCT
ejpam-5807	235	35	and	and	CCONJ
ejpam-5807	235	36	bcs	bcs	NOUN
ejpam-5807	235	37	g	g	PROPN
ejpam-5807	235	38	(	(	PUNCT
ejpam-5807	235	39	0	0	NUM
ejpam-5807	235	40	,	,	PUNCT
ejpam-5807	235	41	σ	σ	NOUN
ejpam-5807	235	42	)	)	PUNCT
ejpam-5807	236	1	=	=	SYM
ejpam-5807	236	2	−3σ	−3σ	PROPN
ejpam-5807	236	3	,	,	PUNCT
ejpam-5807	236	4	gρ	gρ	PROPN
ejpam-5807	236	5	(	(	PUNCT
ejpam-5807	236	6	0	0	NUM
ejpam-5807	236	7	,	,	PUNCT
ejpam-5807	236	8	σ	σ	NOUN
ejpam-5807	236	9	)	)	PUNCT
ejpam-5807	236	10	=	=	SYM
ejpam-5807	236	11	eσ	eσ	PROPN
ejpam-5807	236	12	.	.	NOUN
ejpam-5807	236	13	solution	solution	NOUN
ejpam-5807	236	14	1	1	NUM
ejpam-5807	236	15	.	.	PUNCT
ejpam-5807	236	16	by	by	ADP
ejpam-5807	236	17	applying	apply	VERB
ejpam-5807	236	18	the	the	DET
ejpam-5807	236	19	single	single	ADJ
ejpam-5807	236	20	ara	ara	NOUN
ejpam-5807	236	21	transform	transform	NOUN
ejpam-5807	236	22	to	to	ADP
ejpam-5807	236	23	the	the	DET
ejpam-5807	236	24	ics	ic	NOUN
ejpam-5807	236	25	and	and	CCONJ
ejpam-5807	236	26	the	the	DET
ejpam-5807	236	27	single	single	ADJ
ejpam-5807	236	28	sawi	sawi	ADJ
ejpam-5807	236	29	transform	transform	NOUN
ejpam-5807	236	30	to	to	ADP
ejpam-5807	236	31	the	the	DET
ejpam-5807	236	32	bcs	bc	NOUN
ejpam-5807	236	33	,	,	PUNCT
ejpam-5807	236	34	we	we	PRON
ejpam-5807	236	35	get	get	VERB
ejpam-5807	236	36	a	a	DET
ejpam-5807	236	37	(	(	PUNCT
ejpam-5807	236	38	g(ρ	g(ρ	PROPN
ejpam-5807	236	39	,	,	PUNCT
ejpam-5807	236	40	0	0	NUM
ejpam-5807	236	41	)	)	PUNCT
ejpam-5807	236	42	)	)	PUNCT
ejpam-5807	237	1	=	=	PUNCT
ejpam-5807	238	1	λ	λ	NOUN
ejpam-5807	238	2	1+λ2	1+λ2	NUM
ejpam-5807	238	3	,	,	PUNCT
ejpam-5807	238	4	w	w	PROPN
ejpam-5807	238	5	(	(	PUNCT
ejpam-5807	238	6	g	g	PROPN
ejpam-5807	238	7	(	(	PUNCT
ejpam-5807	238	8	0	0	NUM
ejpam-5807	238	9	,	,	PUNCT
ejpam-5807	238	10	σ	σ	NOUN
ejpam-5807	238	11	)	)	PUNCT
ejpam-5807	238	12	)	)	PUNCT
ejpam-5807	239	1	=	=	PUNCT
ejpam-5807	239	2	−3	−3	ADV
ejpam-5807	239	3	,	,	PUNCT
ejpam-5807	239	4	w	w	PROPN
ejpam-5807	239	5	(	(	PUNCT
ejpam-5807	239	6	gρ	gρ	PROPN
ejpam-5807	239	7	(	(	PUNCT
ejpam-5807	239	8	0	0	NUM
ejpam-5807	239	9	,	,	PUNCT
ejpam-5807	239	10	σ	σ	NOUN
ejpam-5807	239	11	)	)	PUNCT
ejpam-5807	239	12	)	)	PUNCT
ejpam-5807	240	1	=	=	PUNCT
ejpam-5807	240	2	1	1	NUM
ejpam-5807	240	3	ϖ(1−ϖ	ϖ(1−ϖ	NOUN
ejpam-5807	240	4	)	)	PUNCT
ejpam-5807	240	5	.	.	PUNCT
ejpam-5807	241	1	apply	apply	VERB
ejpam-5807	241	2	the	the	DET
ejpam-5807	241	3	da	da	PROPN
ejpam-5807	241	4	-	-	PUNCT
ejpam-5807	241	5	swt	swt	PROPN
ejpam-5807	241	6	to	to	ADP
ejpam-5807	241	7	equation	equation	NOUN
ejpam-5807	241	8	1	1	NUM
ejpam-5807	241	9	,	,	PUNCT
ejpam-5807	241	10	we	we	PRON
ejpam-5807	241	11	get	get	VERB
ejpam-5807	241	12	1	1	NUM
ejpam-5807	241	13	ϖ	ϖ	NOUN
ejpam-5807	241	14	g(λ,ϖ)−	g(λ,ϖ)−	NOUN
ejpam-5807	241	15	1	1	NUM
ejpam-5807	241	16	ϖ2	ϖ2	NOUN
ejpam-5807	241	17	a(g(ρ	a(g(ρ	PROPN
ejpam-5807	241	18	,	,	PUNCT
ejpam-5807	241	19	0))−	0))−	NOUN
ejpam-5807	242	1	λ2g(λ,ϖ	λ2g(λ,ϖ	NOUN
ejpam-5807	242	2	)	)	PUNCT
ejpam-5807	243	1	+	+	ADV
ejpam-5807	243	2	λ2w	λ2w	X
ejpam-5807	243	3	(	(	PUNCT
ejpam-5807	243	4	g(0	g(0	PROPN
ejpam-5807	243	5	,	,	PUNCT
ejpam-5807	243	6	σ	σ	PROPN
ejpam-5807	243	7	)	)	PUNCT
ejpam-5807	243	8	)	)	PUNCT
ejpam-5807	244	1	+	+	CCONJ
ejpam-5807	244	2	λw	λw	X
ejpam-5807	244	3	(	(	PUNCT
ejpam-5807	244	4	gρ(0	gρ(0	PROPN
ejpam-5807	244	5	,	,	PUNCT
ejpam-5807	244	6	σ	σ	PROPN
ejpam-5807	244	7	)	)	PUNCT
ejpam-5807	244	8	)	)	PUNCT
ejpam-5807	244	9	=	=	PUNCT
ejpam-5807	244	10	2g+	2g+	NUM
ejpam-5807	244	11	6−	6−	NUM
ejpam-5807	244	12	3	3	NUM
ejpam-5807	244	13	ϖ	ϖ	NOUN
ejpam-5807	244	14	.	.	PUNCT
ejpam-5807	245	1	so	so	ADV
ejpam-5807	245	2	,	,	PUNCT
ejpam-5807	245	3	1−	1−	NUM
ejpam-5807	245	4	λ2ϖ	λ2ϖ	X
ejpam-5807	245	5	−	−	PROPN
ejpam-5807	245	6	2ϖ	2ϖ	NUM
ejpam-5807	245	7	ϖ	ϖ	X
ejpam-5807	245	8	×g(λ,ϖ	×g(λ,ϖ	PROPN
ejpam-5807	245	9	)	)	PUNCT
ejpam-5807	245	10	=	=	PUNCT
ejpam-5807	245	11	r.	r.	PROPN
ejpam-5807	245	12	abu	abu	PROPN
ejpam-5807	245	13	awwad	awwad	PROPN
ejpam-5807	245	14	et	et	PROPN
ejpam-5807	245	15	al	al	PROPN
ejpam-5807	245	16	.	.	PUNCT
ejpam-5807	245	17	/	/	SYM
ejpam-5807	245	18	eur	eur	PROPN
ejpam-5807	245	19	.	.	PUNCT
ejpam-5807	246	1	j.	j.	PROPN
ejpam-5807	246	2	pure	pure	PROPN
ejpam-5807	246	3	appl	appl	PROPN
ejpam-5807	246	4	.	.	PROPN
ejpam-5807	246	5	math	math	PROPN
ejpam-5807	246	6	,	,	PUNCT
ejpam-5807	246	7	18	18	NUM
ejpam-5807	246	8	(	(	PUNCT
ejpam-5807	246	9	1	1	NUM
ejpam-5807	246	10	)	)	PUNCT
ejpam-5807	246	11	(	(	PUNCT
ejpam-5807	246	12	2025	2025	NUM
ejpam-5807	246	13	)	)	PUNCT
ejpam-5807	246	14	,	,	PUNCT
ejpam-5807	246	15	5807	5807	NUM
ejpam-5807	246	16	11	11	NUM
ejpam-5807	246	17	of	of	ADP
ejpam-5807	246	18	16	16	NUM
ejpam-5807	246	19	1	1	NUM
ejpam-5807	246	20	ϖ2	ϖ2	NOUN
ejpam-5807	246	21	×	×	NOUN
ejpam-5807	246	22	λ	λ	NOUN
ejpam-5807	246	23	1	1	NUM
ejpam-5807	246	24	+	+	NUM
ejpam-5807	246	25	λ2	λ2	NOUN
ejpam-5807	246	26	−	−	NOUN
ejpam-5807	246	27	λ2	λ2	NOUN
ejpam-5807	246	28	×−2−	×−2−	PROPN
ejpam-5807	246	29	λ×	λ×	PROPN
ejpam-5807	246	30	1	1	NUM
ejpam-5807	246	31	ϖ	ϖ	PROPN
ejpam-5807	246	32	(	(	PUNCT
ejpam-5807	246	33	1−ϖ	1−ϖ	NUM
ejpam-5807	246	34	)	)	PUNCT
ejpam-5807	246	35	+	+	CCONJ
ejpam-5807	246	36	6−	6−	NUM
ejpam-5807	246	37	3	3	NUM
ejpam-5807	246	38	ϖ	ϖ	NOUN
ejpam-5807	246	39	.	.	PUNCT
ejpam-5807	247	1	by	by	ADP
ejpam-5807	247	2	simplifying	simplify	VERB
ejpam-5807	247	3	,	,	PUNCT
ejpam-5807	247	4	we	we	PRON
ejpam-5807	247	5	get	get	VERB
ejpam-5807	247	6	,	,	PUNCT
ejpam-5807	247	7	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	247	8	)	)	PUNCT
ejpam-5807	247	9	=	=	PUNCT
ejpam-5807	248	1	λ	λ	X
ejpam-5807	248	2	ϖ	ϖ	INTJ
ejpam-5807	248	3	(	(	PUNCT
ejpam-5807	248	4	1	1	NUM
ejpam-5807	248	5	+	+	NUM
ejpam-5807	248	6	λ2	λ2	NOUN
ejpam-5807	248	7	)	)	PUNCT
ejpam-5807	248	8	(	(	PUNCT
ejpam-5807	248	9	1−ϖ	1−ϖ	NUM
ejpam-5807	248	10	)	)	PUNCT
ejpam-5807	248	11	−	−	NOUN
ejpam-5807	249	1	3	3	X
ejpam-5807	249	2	.	.	X
ejpam-5807	249	3	therefore	therefore	ADV
ejpam-5807	249	4	,	,	PUNCT
ejpam-5807	249	5	g(ρ	g(ρ	PROPN
ejpam-5807	249	6	,	,	PUNCT
ejpam-5807	249	7	σ	σ	PROPN
ejpam-5807	249	8	)	)	PUNCT
ejpam-5807	249	9	=	=	SYM
ejpam-5807	249	10	a−1	a−1	PROPN
ejpam-5807	249	11	ρ	ρ	NOUN
ejpam-5807	249	12	w−1	w−1	PROPN
ejpam-5807	249	13	σ	σ	PROPN
ejpam-5807	249	14	(	(	PUNCT
ejpam-5807	249	15	λ	λ	X
ejpam-5807	249	16	ϖ	ϖ	INTJ
ejpam-5807	249	17	(	(	PUNCT
ejpam-5807	249	18	1	1	NUM
ejpam-5807	249	19	+	+	NUM
ejpam-5807	249	20	λ2	λ2	NOUN
ejpam-5807	249	21	)	)	PUNCT
ejpam-5807	249	22	(	(	PUNCT
ejpam-5807	249	23	1−ϖ	1−ϖ	NUM
ejpam-5807	249	24	)	)	PUNCT
ejpam-5807	249	25	−	−	NOUN
ejpam-5807	249	26	3	3	X
ejpam-5807	249	27	)	)	PUNCT
ejpam-5807	250	1	=	=	SYM
ejpam-5807	250	2	eσ	eσ	ADP
ejpam-5807	250	3	sin	sin	NOUN
ejpam-5807	250	4	ρ−	ρ−	PROPN
ejpam-5807	250	5	3σ	3σ	NUM
ejpam-5807	250	6	.	.	PUNCT
ejpam-5807	251	1	its	its	PRON
ejpam-5807	251	2	graph	graph	NOUN
ejpam-5807	251	3	is	be	AUX
ejpam-5807	251	4	figure	figure	NOUN
ejpam-5807	251	5	1	1	NUM
ejpam-5807	251	6	:	:	PUNCT
ejpam-5807	251	7	the	the	DET
ejpam-5807	251	8	solution	solution	NOUN
ejpam-5807	251	9	of	of	ADP
ejpam-5807	251	10	example	example	NOUN
ejpam-5807	251	11	1	1	NUM
ejpam-5807	251	12	example	example	NOUN
ejpam-5807	251	13	2	2	NUM
ejpam-5807	251	14	.	.	X
ejpam-5807	251	15	consider	consider	VERB
ejpam-5807	251	16	the	the	DET
ejpam-5807	251	17	telegraph	telegraph	NOUN
ejpam-5807	251	18	equation	equation	NOUN
ejpam-5807	251	19	gρρ	gρρ	NOUN
ejpam-5807	251	20	+	+	CCONJ
ejpam-5807	252	1	gρ	gρ	PROPN
ejpam-5807	252	2	−	−	PROPN
ejpam-5807	252	3	2gσσ	2gσσ	PROPN
ejpam-5807	252	4	=	=	SYM
ejpam-5807	252	5	2g(ρ	2g(ρ	PROPN
ejpam-5807	252	6	,	,	PUNCT
ejpam-5807	252	7	σ	σ	PROPN
ejpam-5807	252	8	)	)	PUNCT
ejpam-5807	252	9	,	,	PUNCT
ejpam-5807	252	10	where	where	SCONJ
ejpam-5807	252	11	ρ	ρ	NOUN
ejpam-5807	252	12	,	,	PUNCT
ejpam-5807	252	13	σ	σ	PROPN
ejpam-5807	252	14	>	>	X
ejpam-5807	252	15	0	0	NUM
ejpam-5807	252	16	,	,	PUNCT
ejpam-5807	252	17	with	with	ADP
ejpam-5807	252	18	ics	ics	PROPN
ejpam-5807	252	19	g(ρ	g(ρ	PROPN
ejpam-5807	252	20	,	,	PUNCT
ejpam-5807	252	21	0	0	NUM
ejpam-5807	252	22	)	)	PUNCT
ejpam-5807	253	1	=	=	SYM
ejpam-5807	253	2	eρ	eρ	ADP
ejpam-5807	253	3	+	+	ADJ
ejpam-5807	253	4	1	1	NUM
ejpam-5807	253	5	,	,	PUNCT
ejpam-5807	253	6	gσ(ρ	gσ(ρ	ADJ
ejpam-5807	253	7	,	,	PUNCT
ejpam-5807	253	8	0	0	NUM
ejpam-5807	253	9	)	)	PUNCT
ejpam-5807	253	10	=	=	SYM
ejpam-5807	253	11	0	0	NUM
ejpam-5807	253	12	,	,	PUNCT
ejpam-5807	253	13	and	and	CCONJ
ejpam-5807	253	14	bcs	bcs	NOUN
ejpam-5807	253	15	g	g	PROPN
ejpam-5807	253	16	(	(	PUNCT
ejpam-5807	253	17	0	0	NUM
ejpam-5807	253	18	,	,	PUNCT
ejpam-5807	253	19	σ	σ	NOUN
ejpam-5807	253	20	)	)	PUNCT
ejpam-5807	253	21	=	=	SYM
ejpam-5807	253	22	1	1	NUM
ejpam-5807	253	23	+	+	NUM
ejpam-5807	253	24	cosσ	cosσ	NOUN
ejpam-5807	253	25	,	,	PUNCT
ejpam-5807	253	26	gρ	gρ	PROPN
ejpam-5807	253	27	(	(	PUNCT
ejpam-5807	253	28	0	0	NUM
ejpam-5807	253	29	,	,	PUNCT
ejpam-5807	253	30	σ	σ	NOUN
ejpam-5807	253	31	)	)	PUNCT
ejpam-5807	253	32	=	=	SYM
ejpam-5807	253	33	1	1	X
ejpam-5807	253	34	.	.	PUNCT
ejpam-5807	253	35	r.	r.	PROPN
ejpam-5807	253	36	abu	abu	PROPN
ejpam-5807	253	37	awwad	awwad	PROPN
ejpam-5807	253	38	et	et	PROPN
ejpam-5807	253	39	al	al	PROPN
ejpam-5807	253	40	.	.	PUNCT
ejpam-5807	253	41	/	/	SYM
ejpam-5807	253	42	eur	eur	PROPN
ejpam-5807	253	43	.	.	PUNCT
ejpam-5807	254	1	j.	j.	PROPN
ejpam-5807	254	2	pure	pure	PROPN
ejpam-5807	254	3	appl	appl	PROPN
ejpam-5807	254	4	.	.	PROPN
ejpam-5807	254	5	math	math	PROPN
ejpam-5807	254	6	,	,	PUNCT
ejpam-5807	254	7	18	18	NUM
ejpam-5807	254	8	(	(	PUNCT
ejpam-5807	254	9	1	1	NUM
ejpam-5807	254	10	)	)	PUNCT
ejpam-5807	254	11	(	(	PUNCT
ejpam-5807	254	12	2025	2025	NUM
ejpam-5807	254	13	)	)	PUNCT
ejpam-5807	254	14	,	,	PUNCT
ejpam-5807	254	15	5807	5807	NUM
ejpam-5807	254	16	12	12	NUM
ejpam-5807	254	17	of	of	ADP
ejpam-5807	254	18	16	16	NUM
ejpam-5807	254	19	solution	solution	NOUN
ejpam-5807	254	20	2	2	NUM
ejpam-5807	254	21	.	.	PUNCT
ejpam-5807	255	1	by	by	ADP
ejpam-5807	255	2	applying	apply	VERB
ejpam-5807	255	3	the	the	DET
ejpam-5807	255	4	single	single	ADJ
ejpam-5807	255	5	ara	ara	NOUN
ejpam-5807	255	6	transform	transform	NOUN
ejpam-5807	255	7	and	and	CCONJ
ejpam-5807	255	8	the	the	DET
ejpam-5807	255	9	single	single	ADJ
ejpam-5807	255	10	sawi	sawi	ADJ
ejpam-5807	255	11	transform	transform	NOUN
ejpam-5807	255	12	to	to	ADP
ejpam-5807	255	13	the	the	DET
ejpam-5807	255	14	ics	ic	NOUN
ejpam-5807	255	15	,	,	PUNCT
ejpam-5807	255	16	we	we	PRON
ejpam-5807	255	17	get	get	VERB
ejpam-5807	255	18	a	a	DET
ejpam-5807	255	19	(	(	PUNCT
ejpam-5807	255	20	g(ρ	g(ρ	PROPN
ejpam-5807	255	21	,	,	PUNCT
ejpam-5807	255	22	0	0	NUM
ejpam-5807	255	23	)	)	PUNCT
ejpam-5807	255	24	)	)	PUNCT
ejpam-5807	256	1	=	=	PUNCT
ejpam-5807	256	2	λ	λ	X
ejpam-5807	256	3	λ−1	λ−1	NOUN
ejpam-5807	257	1	+	+	NOUN
ejpam-5807	257	2	1	1	NUM
ejpam-5807	257	3	,	,	PUNCT
ejpam-5807	257	4	a	a	DET
ejpam-5807	257	5	(	(	PUNCT
ejpam-5807	257	6	gσ(ρ	gσ(ρ	ADJ
ejpam-5807	257	7	,	,	PUNCT
ejpam-5807	257	8	0	0	NUM
ejpam-5807	257	9	)	)	PUNCT
ejpam-5807	257	10	)	)	PUNCT
ejpam-5807	258	1	=	=	SYM
ejpam-5807	258	2	0	0	NUM
ejpam-5807	258	3	,	,	PUNCT
ejpam-5807	258	4	w	w	NOUN
ejpam-5807	258	5	(	(	PUNCT
ejpam-5807	258	6	g	g	PROPN
ejpam-5807	258	7	(	(	PUNCT
ejpam-5807	258	8	0	0	NUM
ejpam-5807	258	9	,	,	PUNCT
ejpam-5807	258	10	σ	σ	NOUN
ejpam-5807	258	11	)	)	PUNCT
ejpam-5807	258	12	)	)	PUNCT
ejpam-5807	259	1	=	=	SYM
ejpam-5807	259	2	1	1	NUM
ejpam-5807	259	3	ϖ	ϖ	X
ejpam-5807	259	4	+	+	CCONJ
ejpam-5807	259	5	1	1	NUM
ejpam-5807	259	6	ϖ(1+ϖ2	ϖ(1+ϖ2	NOUN
ejpam-5807	259	7	)	)	PUNCT
ejpam-5807	259	8	,	,	PUNCT
ejpam-5807	259	9	w	w	PROPN
ejpam-5807	259	10	(	(	PUNCT
ejpam-5807	259	11	gρ	gρ	PROPN
ejpam-5807	259	12	(	(	PUNCT
ejpam-5807	259	13	0	0	NUM
ejpam-5807	259	14	,	,	PUNCT
ejpam-5807	259	15	σ	σ	NOUN
ejpam-5807	259	16	)	)	PUNCT
ejpam-5807	259	17	)	)	PUNCT
ejpam-5807	259	18	=	=	SYM
ejpam-5807	260	1	1	1	NUM
ejpam-5807	260	2	ϖ	ϖ	INTJ
ejpam-5807	260	3	.	.	PUNCT
ejpam-5807	260	4	apply	apply	VERB
ejpam-5807	260	5	the	the	DET
ejpam-5807	260	6	da	da	PROPN
ejpam-5807	260	7	-	-	PUNCT
ejpam-5807	260	8	swt	swt	PROPN
ejpam-5807	260	9	to	to	ADP
ejpam-5807	260	10	equation	equation	NOUN
ejpam-5807	260	11	2	2	NUM
ejpam-5807	260	12	,	,	PUNCT
ejpam-5807	260	13	we	we	PRON
ejpam-5807	260	14	get	get	VERB
ejpam-5807	260	15	λ2g(λ,ϖ)−	λ2g(λ,ϖ)−	NOUN
ejpam-5807	260	16	λ2w	λ2w	X
ejpam-5807	260	17	(	(	PUNCT
ejpam-5807	260	18	g(0	g(0	NOUN
ejpam-5807	260	19	,	,	PUNCT
ejpam-5807	260	20	σ))−	σ))−	PROPN
ejpam-5807	260	21	λw	λw	X
ejpam-5807	260	22	(	(	PUNCT
ejpam-5807	260	23	gρ(0	gρ(0	PROPN
ejpam-5807	260	24	,	,	PUNCT
ejpam-5807	260	25	σ	σ	PROPN
ejpam-5807	260	26	)	)	PUNCT
ejpam-5807	260	27	)	)	PUNCT
ejpam-5807	261	1	+	+	CCONJ
ejpam-5807	261	2	λg(λ,ϖ	λg(λ,ϖ	X
ejpam-5807	261	3	)	)	PUNCT
ejpam-5807	261	4	−λw	−λw	NOUN
ejpam-5807	261	5	(	(	PUNCT
ejpam-5807	261	6	g(0	g(0	NOUN
ejpam-5807	261	7	,	,	PUNCT
ejpam-5807	261	8	σ))−	σ))−	ADJ
ejpam-5807	261	9	2	2	NUM
ejpam-5807	261	10	1	1	NUM
ejpam-5807	261	11	ϖ2	ϖ2	NOUN
ejpam-5807	261	12	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	261	13	)	)	PUNCT
ejpam-5807	262	1	+	+	CCONJ
ejpam-5807	262	2	2	2	NUM
ejpam-5807	262	3	1	1	NUM
ejpam-5807	262	4	ϖ3	ϖ3	NOUN
ejpam-5807	262	5	a(g(ρ	a(g(ρ	PROPN
ejpam-5807	262	6	,	,	PUNCT
ejpam-5807	262	7	0	0	NUM
ejpam-5807	262	8	)	)	PUNCT
ejpam-5807	262	9	)	)	PUNCT
ejpam-5807	263	1	+2	+2	ADV
ejpam-5807	263	2	1	1	NUM
ejpam-5807	263	3	ϖ2	ϖ2	NOUN
ejpam-5807	263	4	a(gσ(ρ	a(gσ(ρ	PROPN
ejpam-5807	263	5	,	,	PUNCT
ejpam-5807	263	6	0	0	NUM
ejpam-5807	263	7	)	)	PUNCT
ejpam-5807	263	8	)	)	PUNCT
ejpam-5807	264	1	=	=	PUNCT
ejpam-5807	264	2	2	2	NUM
ejpam-5807	264	3	g.	g.	NOUN
ejpam-5807	264	4	so	so	ADV
ejpam-5807	264	5	,	,	PUNCT
ejpam-5807	264	6	λ2ϖ2	λ2ϖ2	PROPN
ejpam-5807	265	1	+	+	CCONJ
ejpam-5807	265	2	λϖ2	λϖ2	PROPN
ejpam-5807	266	1	−	−	PROPN
ejpam-5807	266	2	2ϖ2	2ϖ2	NOUN
ejpam-5807	266	3	−	−	PROPN
ejpam-5807	266	4	2	2	NUM
ejpam-5807	266	5	ϖ2	ϖ2	NOUN
ejpam-5807	266	6	×g(λ,ϖ	×g(λ,ϖ	PROPN
ejpam-5807	266	7	)	)	PUNCT
ejpam-5807	266	8	=	=	SYM
ejpam-5807	266	9	λ2	λ2	NOUN
ejpam-5807	266	10	×	×	NOUN
ejpam-5807	266	11	(	(	PUNCT
ejpam-5807	266	12	1	1	NUM
ejpam-5807	266	13	ϖ	ϖ	NOUN
ejpam-5807	266	14	+	+	NUM
ejpam-5807	266	15	1	1	NUM
ejpam-5807	266	16	ϖ	ϖ	NOUN
ejpam-5807	266	17	(	(	PUNCT
ejpam-5807	266	18	1	1	NUM
ejpam-5807	266	19	+	+	NOUN
ejpam-5807	266	20	ϖ2	ϖ2	NOUN
ejpam-5807	266	21	)	)	PUNCT
ejpam-5807	266	22	)	)	PUNCT
ejpam-5807	267	1	+	+	CCONJ
ejpam-5807	268	1	λ×	λ×	PROPN
ejpam-5807	268	2	1	1	NUM
ejpam-5807	268	3	ϖ	ϖ	X
ejpam-5807	268	4	+	+	ADJ
ejpam-5807	268	5	λ×	λ×	X
ejpam-5807	268	6	(	(	PUNCT
ejpam-5807	268	7	1	1	NUM
ejpam-5807	268	8	ϖ	ϖ	NOUN
ejpam-5807	268	9	+	+	NUM
ejpam-5807	268	10	1	1	NUM
ejpam-5807	268	11	ϖ	ϖ	NOUN
ejpam-5807	268	12	(	(	PUNCT
ejpam-5807	268	13	1	1	NUM
ejpam-5807	268	14	+	+	NOUN
ejpam-5807	268	15	ϖ2	ϖ2	NOUN
ejpam-5807	268	16	)	)	PUNCT
ejpam-5807	268	17	)	)	PUNCT
ejpam-5807	268	18	−	−	PROPN
ejpam-5807	268	19	2	2	NUM
ejpam-5807	268	20	ϖ3	ϖ3	NOUN
ejpam-5807	268	21	×	×	NOUN
ejpam-5807	268	22	(	(	PUNCT
ejpam-5807	268	23	λ	λ	X
ejpam-5807	268	24	λ−	λ−	PROPN
ejpam-5807	268	25	1	1	NUM
ejpam-5807	268	26	+	+	NUM
ejpam-5807	268	27	1	1	NUM
ejpam-5807	268	28	)	)	PUNCT
ejpam-5807	268	29	.	.	PUNCT
ejpam-5807	269	1	by	by	ADP
ejpam-5807	269	2	simplifying	simplify	VERB
ejpam-5807	269	3	,	,	PUNCT
ejpam-5807	269	4	we	we	PRON
ejpam-5807	269	5	get	get	VERB
ejpam-5807	269	6	,	,	PUNCT
ejpam-5807	269	7	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	269	8	)	)	PUNCT
ejpam-5807	269	9	=	=	PUNCT
ejpam-5807	270	1	λ	λ	X
ejpam-5807	270	2	ϖ	ϖ	X
ejpam-5807	270	3	(	(	PUNCT
ejpam-5807	270	4	λ−	λ−	PROPN
ejpam-5807	270	5	1	1	NUM
ejpam-5807	270	6	)	)	PUNCT
ejpam-5807	270	7	+	+	CCONJ
ejpam-5807	270	8	1	1	NUM
ejpam-5807	270	9	1	1	NUM
ejpam-5807	270	10	+	+	NOUN
ejpam-5807	270	11	ϖ2	ϖ2	NOUN
ejpam-5807	270	12	.	.	PUNCT
ejpam-5807	271	1	therefore	therefore	ADV
ejpam-5807	271	2	,	,	PUNCT
ejpam-5807	271	3	g(ρ	g(ρ	PROPN
ejpam-5807	271	4	,	,	PUNCT
ejpam-5807	271	5	σ	σ	PROPN
ejpam-5807	271	6	)	)	PUNCT
ejpam-5807	271	7	=	=	SYM
ejpam-5807	271	8	a−1	a−1	PROPN
ejpam-5807	271	9	ρ	ρ	NOUN
ejpam-5807	271	10	w−1	w−1	PROPN
ejpam-5807	271	11	σ	σ	PROPN
ejpam-5807	271	12	(	(	PUNCT
ejpam-5807	271	13	λ	λ	X
ejpam-5807	271	14	ϖ	ϖ	X
ejpam-5807	271	15	(	(	PUNCT
ejpam-5807	271	16	λ−	λ−	PROPN
ejpam-5807	271	17	1	1	NUM
ejpam-5807	271	18	)	)	PUNCT
ejpam-5807	271	19	+	+	CCONJ
ejpam-5807	271	20	1	1	NUM
ejpam-5807	271	21	1	1	NUM
ejpam-5807	271	22	+	+	NOUN
ejpam-5807	271	23	ϖ2	ϖ2	NOUN
ejpam-5807	271	24	)	)	PUNCT
ejpam-5807	271	25	=	=	PUNCT
ejpam-5807	271	26	eρ	eρ	PROPN
ejpam-5807	271	27	+	+	NUM
ejpam-5807	271	28	cosσ	cosσ	NOUN
ejpam-5807	271	29	.	.	PUNCT
ejpam-5807	272	1	its	its	PRON
ejpam-5807	272	2	graph	graph	NOUN
ejpam-5807	272	3	is	be	AUX
ejpam-5807	272	4	r.	r.	PROPN
ejpam-5807	272	5	abu	abu	PROPN
ejpam-5807	272	6	awwad	awwad	PROPN
ejpam-5807	272	7	et	et	PROPN
ejpam-5807	272	8	al	al	PROPN
ejpam-5807	272	9	.	.	PUNCT
ejpam-5807	272	10	/	/	SYM
ejpam-5807	272	11	eur	eur	PROPN
ejpam-5807	272	12	.	.	PUNCT
ejpam-5807	273	1	j.	j.	PROPN
ejpam-5807	273	2	pure	pure	PROPN
ejpam-5807	273	3	appl	appl	PROPN
ejpam-5807	273	4	.	.	PROPN
ejpam-5807	273	5	math	math	PROPN
ejpam-5807	273	6	,	,	PUNCT
ejpam-5807	273	7	18	18	NUM
ejpam-5807	273	8	(	(	PUNCT
ejpam-5807	273	9	1	1	NUM
ejpam-5807	273	10	)	)	PUNCT
ejpam-5807	273	11	(	(	PUNCT
ejpam-5807	273	12	2025	2025	NUM
ejpam-5807	273	13	)	)	PUNCT
ejpam-5807	273	14	,	,	PUNCT
ejpam-5807	273	15	5807	5807	NUM
ejpam-5807	273	16	13	13	NUM
ejpam-5807	273	17	of	of	ADP
ejpam-5807	273	18	16	16	NUM
ejpam-5807	273	19	figure	figure	NOUN
ejpam-5807	273	20	2	2	NUM
ejpam-5807	273	21	:	:	PUNCT
ejpam-5807	273	22	the	the	DET
ejpam-5807	273	23	solution	solution	NOUN
ejpam-5807	273	24	of	of	ADP
ejpam-5807	273	25	example	example	NOUN
ejpam-5807	273	26	2	2	NUM
ejpam-5807	273	27	example	example	NOUN
ejpam-5807	273	28	3	3	NUM
ejpam-5807	273	29	.	.	X
ejpam-5807	273	30	consider	consider	VERB
ejpam-5807	273	31	the	the	DET
ejpam-5807	273	32	equation	equation	NOUN
ejpam-5807	273	33	of	of	ADP
ejpam-5807	273	34	volterra	volterra	PROPN
ejpam-5807	273	35	integro	integro	PROPN
ejpam-5807	273	36	pde	pde	PROPN
ejpam-5807	273	37	.	.	PUNCT
ejpam-5807	274	1	gρ	gρ	NOUN
ejpam-5807	275	1	+	+	CCONJ
ejpam-5807	275	2	gσ	gσ	NOUN
ejpam-5807	275	3	−	−	NOUN
ejpam-5807	275	4	coshσ	coshσ	NOUN
ejpam-5807	275	5	−	−	PROPN
ejpam-5807	275	6	ρ	ρ	PROPN
ejpam-5807	275	7	sinhσ	sinhσ	PROPN
ejpam-5807	275	8	−	−	PROPN
ejpam-5807	275	9	ρ2	ρ2	NOUN
ejpam-5807	275	10	sinhσ	sinhσ	NOUN
ejpam-5807	275	11	=	=	SYM
ejpam-5807	275	12	2	2	NUM
ejpam-5807	275	13	ρ∫	ρ∫	NOUN
ejpam-5807	275	14	0	0	NUM
ejpam-5807	276	1	σ∫	σ∫	ADJ
ejpam-5807	276	2	0	0	NUM
ejpam-5807	276	3	g(γ	g(γ	PROPN
ejpam-5807	276	4	,	,	PUNCT
ejpam-5807	276	5	δ))dγdδ	δ))dγdδ	PROPN
ejpam-5807	276	6	,	,	PUNCT
ejpam-5807	276	7	where	where	SCONJ
ejpam-5807	276	8	ρ	ρ	NOUN
ejpam-5807	276	9	,	,	PUNCT
ejpam-5807	276	10	σ	σ	PROPN
ejpam-5807	276	11	>	>	X
ejpam-5807	276	12	0	0	NUM
ejpam-5807	276	13	,	,	PUNCT
ejpam-5807	276	14	(	(	PUNCT
ejpam-5807	276	15	18	18	NUM
ejpam-5807	276	16	)	)	PUNCT
ejpam-5807	276	17	with	with	ADP
ejpam-5807	276	18	ics	ics	PROPN
ejpam-5807	276	19	g(ρ	g(ρ	PROPN
ejpam-5807	276	20	,	,	PUNCT
ejpam-5807	276	21	0	0	NUM
ejpam-5807	276	22	)	)	PUNCT
ejpam-5807	276	23	=	=	SYM
ejpam-5807	276	24	ρ	ρ	PROPN
ejpam-5807	276	25	,	,	PUNCT
ejpam-5807	276	26	g(0	g(0	PROPN
ejpam-5807	276	27	,	,	PUNCT
ejpam-5807	276	28	σ	σ	PROPN
ejpam-5807	276	29	)	)	PUNCT
ejpam-5807	276	30	=	=	SYM
ejpam-5807	276	31	0	0	X
ejpam-5807	276	32	.	.	PUNCT
ejpam-5807	276	33	solution	solution	NOUN
ejpam-5807	276	34	3	3	NUM
ejpam-5807	276	35	.	.	PUNCT
ejpam-5807	276	36	by	by	ADP
ejpam-5807	276	37	applying	apply	VERB
ejpam-5807	276	38	the	the	DET
ejpam-5807	276	39	single	single	ADJ
ejpam-5807	276	40	ara	ara	NOUN
ejpam-5807	276	41	transform	transform	NOUN
ejpam-5807	276	42	and	and	CCONJ
ejpam-5807	276	43	the	the	DET
ejpam-5807	276	44	single	single	ADJ
ejpam-5807	276	45	sawi	sawi	ADJ
ejpam-5807	276	46	transform	transform	NOUN
ejpam-5807	276	47	to	to	ADP
ejpam-5807	276	48	the	the	DET
ejpam-5807	276	49	ics	ic	NOUN
ejpam-5807	276	50	,	,	PUNCT
ejpam-5807	276	51	we	we	PRON
ejpam-5807	276	52	get	get	VERB
ejpam-5807	276	53	a	a	DET
ejpam-5807	276	54	(	(	PUNCT
ejpam-5807	276	55	g(ρ	g(ρ	PROPN
ejpam-5807	276	56	,	,	PUNCT
ejpam-5807	276	57	0	0	NUM
ejpam-5807	276	58	)	)	PUNCT
ejpam-5807	276	59	)	)	PUNCT
ejpam-5807	277	1	=	=	SYM
ejpam-5807	277	2	1	1	NUM
ejpam-5807	277	3	λ	λ	INTJ
ejpam-5807	277	4	,	,	PUNCT
ejpam-5807	277	5	w	w	PROPN
ejpam-5807	277	6	(	(	PUNCT
ejpam-5807	277	7	g	g	PROPN
ejpam-5807	277	8	(	(	PUNCT
ejpam-5807	277	9	0	0	NUM
ejpam-5807	277	10	,	,	PUNCT
ejpam-5807	277	11	σ	σ	NOUN
ejpam-5807	277	12	)	)	PUNCT
ejpam-5807	277	13	)	)	PUNCT
ejpam-5807	278	1	=	=	PUNCT
ejpam-5807	278	2	0	0	X
ejpam-5807	278	3	.	.	PUNCT
ejpam-5807	279	1	by	by	ADP
ejpam-5807	279	2	definition	definition	NOUN
ejpam-5807	279	3	4	4	NUM
ejpam-5807	279	4	and	and	CCONJ
ejpam-5807	279	5	theorem	theorem	VERB
ejpam-5807	279	6	2	2	NUM
ejpam-5807	279	7	,	,	PUNCT
ejpam-5807	279	8	we	we	PRON
ejpam-5807	279	9	have	have	VERB
ejpam-5807	279	10	ρ∫	ρ∫	NOUN
ejpam-5807	279	11	0	0	NUM
ejpam-5807	279	12	σ∫	σ∫	ADJ
ejpam-5807	279	13	0	0	NUM
ejpam-5807	279	14	g(γ	g(γ	PROPN
ejpam-5807	279	15	,	,	PUNCT
ejpam-5807	279	16	δ))dγdδ	δ))dγdδ	X
ejpam-5807	279	17	=	=	SYM
ejpam-5807	279	18	(	(	PUNCT
ejpam-5807	279	19	1	1	NUM
ejpam-5807	279	20	∗	∗	NOUN
ejpam-5807	279	21	∗g	∗g	NUM
ejpam-5807	279	22	)	)	PUNCT
ejpam-5807	279	23	(	(	PUNCT
ejpam-5807	279	24	ρ	ρ	PROPN
ejpam-5807	279	25	,	,	PUNCT
ejpam-5807	279	26	σ	σ	PROPN
ejpam-5807	279	27	)	)	PUNCT
ejpam-5807	279	28	.	.	PUNCT
ejpam-5807	280	1	(	(	PUNCT
ejpam-5807	280	2	19	19	NUM
ejpam-5807	280	3	)	)	PUNCT
ejpam-5807	280	4	apply	apply	VERB
ejpam-5807	280	5	the	the	DET
ejpam-5807	280	6	da	da	PROPN
ejpam-5807	280	7	-	-	PUNCT
ejpam-5807	280	8	swt	swt	PROPN
ejpam-5807	280	9	to	to	ADP
ejpam-5807	280	10	equation	equation	NOUN
ejpam-5807	280	11	18	18	NUM
ejpam-5807	280	12	,	,	PUNCT
ejpam-5807	280	13	we	we	PRON
ejpam-5807	280	14	get	get	VERB
ejpam-5807	280	15	λg(λ,ϖ)−	λg(λ,ϖ)−	NOUN
ejpam-5807	280	16	λw	λw	X
ejpam-5807	280	17	(	(	PUNCT
ejpam-5807	280	18	g(0	g(0	PROPN
ejpam-5807	280	19	,	,	PUNCT
ejpam-5807	280	20	σ	σ	PROPN
ejpam-5807	280	21	)	)	PUNCT
ejpam-5807	280	22	)	)	PUNCT
ejpam-5807	281	1	+	+	CCONJ
ejpam-5807	281	2	1	1	NUM
ejpam-5807	281	3	ϖ	ϖ	NOUN
ejpam-5807	281	4	g(λ,ϖ)−	g(λ,ϖ)−	NOUN
ejpam-5807	281	5	1	1	NUM
ejpam-5807	281	6	ϖ2	ϖ2	NOUN
ejpam-5807	281	7	a(g(ρ	a(g(ρ	PROPN
ejpam-5807	281	8	,	,	PUNCT
ejpam-5807	281	9	0	0	NUM
ejpam-5807	281	10	)	)	PUNCT
ejpam-5807	281	11	)	)	PUNCT
ejpam-5807	281	12	r.	r.	PROPN
ejpam-5807	281	13	abu	abu	PROPN
ejpam-5807	281	14	awwad	awwad	PROPN
ejpam-5807	281	15	et	et	PROPN
ejpam-5807	281	16	al	al	PROPN
ejpam-5807	281	17	.	.	PUNCT
ejpam-5807	281	18	/	/	SYM
ejpam-5807	281	19	eur	eur	PROPN
ejpam-5807	281	20	.	.	PUNCT
ejpam-5807	282	1	j.	j.	PROPN
ejpam-5807	282	2	pure	pure	PROPN
ejpam-5807	282	3	appl	appl	PROPN
ejpam-5807	282	4	.	.	PROPN
ejpam-5807	282	5	math	math	PROPN
ejpam-5807	282	6	,	,	PUNCT
ejpam-5807	282	7	18	18	NUM
ejpam-5807	282	8	(	(	PUNCT
ejpam-5807	282	9	1	1	NUM
ejpam-5807	282	10	)	)	PUNCT
ejpam-5807	282	11	(	(	PUNCT
ejpam-5807	282	12	2025	2025	NUM
ejpam-5807	282	13	)	)	PUNCT
ejpam-5807	282	14	,	,	PUNCT
ejpam-5807	282	15	5807	5807	NUM
ejpam-5807	282	16	14	14	NUM
ejpam-5807	282	17	of	of	ADP
ejpam-5807	282	18	16	16	NUM
ejpam-5807	282	19	−	−	NUM
ejpam-5807	282	20	1	1	NUM
ejpam-5807	282	21	ϖ	ϖ	PROPN
ejpam-5807	282	22	(	(	PUNCT
ejpam-5807	282	23	1−ϖ2	1−ϖ2	NUM
ejpam-5807	282	24	)	)	PUNCT
ejpam-5807	282	25	−	−	PROPN
ejpam-5807	282	26	1	1	NUM
ejpam-5807	282	27	λ	λ	PROPN
ejpam-5807	282	28	(	(	PUNCT
ejpam-5807	282	29	1−ϖ2	1−ϖ2	NUM
ejpam-5807	282	30	)	)	PUNCT
ejpam-5807	282	31	−	−	PROPN
ejpam-5807	282	32	2	2	NUM
ejpam-5807	282	33	λ2	λ2	NOUN
ejpam-5807	282	34	(	(	PUNCT
ejpam-5807	282	35	1−ϖ2	1−ϖ2	NUM
ejpam-5807	282	36	)	)	PUNCT
ejpam-5807	282	37	=	=	SYM
ejpam-5807	282	38	2ϖ	2ϖ	NUM
ejpam-5807	282	39	λ	λ	NOUN
ejpam-5807	282	40	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	282	41	)	)	PUNCT
ejpam-5807	282	42	.	.	PUNCT
ejpam-5807	283	1	so	so	ADV
ejpam-5807	283	2	,	,	PUNCT
ejpam-5807	284	1	λ2ϖ	λ2ϖ	X
ejpam-5807	284	2	+	+	CCONJ
ejpam-5807	284	3	λ−	λ−	PROPN
ejpam-5807	284	4	2ϖ2	2ϖ2	PROPN
ejpam-5807	284	5	λϖ	λϖ	X
ejpam-5807	284	6	×g(λ,ϖ	×g(λ,ϖ	PROPN
ejpam-5807	284	7	)	)	PUNCT
ejpam-5807	284	8	=	=	SYM
ejpam-5807	284	9	1	1	NUM
ejpam-5807	284	10	ϖ2	ϖ2	NOUN
ejpam-5807	284	11	×	×	NOUN
ejpam-5807	284	12	1	1	NUM
ejpam-5807	284	13	λ	λ	NOUN
ejpam-5807	284	14	+	+	NOUN
ejpam-5807	284	15	1	1	NUM
ejpam-5807	284	16	ϖ	ϖ	NOUN
ejpam-5807	284	17	(	(	PUNCT
ejpam-5807	284	18	1−ϖ2	1−ϖ2	NUM
ejpam-5807	284	19	)	)	PUNCT
ejpam-5807	284	20	+	+	CCONJ
ejpam-5807	284	21	1	1	NUM
ejpam-5807	284	22	λ	λ	NOUN
ejpam-5807	284	23	(	(	PUNCT
ejpam-5807	284	24	1−ϖ2	1−ϖ2	NUM
ejpam-5807	284	25	)	)	PUNCT
ejpam-5807	285	1	+	+	CCONJ
ejpam-5807	285	2	2	2	NUM
ejpam-5807	285	3	λ2	λ2	NOUN
ejpam-5807	285	4	(	(	PUNCT
ejpam-5807	285	5	1−ϖ2	1−ϖ2	NUM
ejpam-5807	285	6	)	)	PUNCT
ejpam-5807	285	7	.	.	PUNCT
ejpam-5807	286	1	by	by	ADP
ejpam-5807	286	2	simplifying	simplify	VERB
ejpam-5807	286	3	,	,	PUNCT
ejpam-5807	286	4	we	we	PRON
ejpam-5807	286	5	get	get	VERB
ejpam-5807	286	6	,	,	PUNCT
ejpam-5807	286	7	g(λ,ϖ	g(λ,ϖ	NOUN
ejpam-5807	286	8	)	)	PUNCT
ejpam-5807	286	9	=	=	SYM
ejpam-5807	286	10	1	1	NUM
ejpam-5807	286	11	λϖ	λϖ	X
ejpam-5807	286	12	(	(	PUNCT
ejpam-5807	286	13	1−ϖ2	1−ϖ2	NUM
ejpam-5807	286	14	)	)	PUNCT
ejpam-5807	286	15	.	.	PUNCT
ejpam-5807	287	1	therefore	therefore	ADV
ejpam-5807	287	2	,	,	PUNCT
ejpam-5807	287	3	g(ρ	g(ρ	PROPN
ejpam-5807	287	4	,	,	PUNCT
ejpam-5807	287	5	σ	σ	PROPN
ejpam-5807	287	6	)	)	PUNCT
ejpam-5807	287	7	=	=	SYM
ejpam-5807	287	8	a−1	a−1	PROPN
ejpam-5807	287	9	ρ	ρ	NOUN
ejpam-5807	287	10	w−1	w−1	PROPN
ejpam-5807	287	11	σ	σ	PROPN
ejpam-5807	287	12	(	(	PUNCT
ejpam-5807	287	13	1	1	NUM
ejpam-5807	287	14	λϖ	λϖ	X
ejpam-5807	287	15	(	(	PUNCT
ejpam-5807	287	16	1−ϖ2	1−ϖ2	NUM
ejpam-5807	287	17	)	)	PUNCT
ejpam-5807	287	18	)	)	PUNCT
ejpam-5807	287	19	=	=	SYM
ejpam-5807	287	20	ρ	ρ	PROPN
ejpam-5807	287	21	coshσ	coshσ	NOUN
ejpam-5807	287	22	.	.	PUNCT
ejpam-5807	288	1	its	its	PRON
ejpam-5807	288	2	graph	graph	NOUN
ejpam-5807	288	3	is	be	AUX
ejpam-5807	288	4	figure	figure	NOUN
ejpam-5807	288	5	3	3	NUM
ejpam-5807	288	6	:	:	PUNCT
ejpam-5807	288	7	the	the	DET
ejpam-5807	288	8	solution	solution	NOUN
ejpam-5807	288	9	of	of	ADP
ejpam-5807	288	10	example	example	NOUN
ejpam-5807	288	11	3	3	NUM
ejpam-5807	288	12	5	5	NUM
ejpam-5807	288	13	.	.	PUNCT
ejpam-5807	288	14	conclusion	conclusion	NOUN
ejpam-5807	288	15	in	in	ADP
ejpam-5807	288	16	this	this	DET
ejpam-5807	288	17	paper	paper	NOUN
ejpam-5807	288	18	,	,	PUNCT
ejpam-5807	288	19	we	we	PRON
ejpam-5807	288	20	introduced	introduce	VERB
ejpam-5807	288	21	the	the	DET
ejpam-5807	288	22	double	double	ADJ
ejpam-5807	288	23	ara	ara	NOUN
ejpam-5807	288	24	-	-	PUNCT
ejpam-5807	288	25	sawi	sawi	ADJ
ejpam-5807	288	26	transform	transform	NOUN
ejpam-5807	288	27	(	(	PUNCT
ejpam-5807	288	28	da	da	NOUN
ejpam-5807	288	29	-	-	PUNCT
ejpam-5807	288	30	swt	swt	NOUN
ejpam-5807	288	31	)	)	PUNCT
ejpam-5807	288	32	and	and	CCONJ
ejpam-5807	288	33	thoroughly	thoroughly	ADV
ejpam-5807	288	34	explored	explore	VERB
ejpam-5807	288	35	its	its	PRON
ejpam-5807	288	36	foundational	foundational	ADJ
ejpam-5807	288	37	properties	property	NOUN
ejpam-5807	288	38	,	,	PUNCT
ejpam-5807	288	39	rigorously	rigorously	ADV
ejpam-5807	288	40	characterizing	characterize	VERB
ejpam-5807	288	41	the	the	DET
ejpam-5807	288	42	necessary	necessary	ADJ
ejpam-5807	288	43	conr	conr	NOUN
ejpam-5807	288	44	.	.	PUNCT
ejpam-5807	289	1	abu	abu	PROPN
ejpam-5807	289	2	awwad	awwad	PROPN
ejpam-5807	289	3	et	et	PROPN
ejpam-5807	289	4	al	al	PROPN
ejpam-5807	289	5	.	.	PUNCT
ejpam-5807	289	6	/	/	SYM
ejpam-5807	289	7	eur	eur	PROPN
ejpam-5807	289	8	.	.	PUNCT
ejpam-5807	290	1	j.	j.	PROPN
ejpam-5807	290	2	pure	pure	PROPN
ejpam-5807	290	3	appl	appl	PROPN
ejpam-5807	290	4	.	.	PROPN
ejpam-5807	290	5	math	math	PROPN
ejpam-5807	290	6	,	,	PUNCT
ejpam-5807	290	7	18	18	NUM
ejpam-5807	290	8	(	(	PUNCT
ejpam-5807	290	9	1	1	NUM
ejpam-5807	290	10	)	)	PUNCT
ejpam-5807	290	11	(	(	PUNCT
ejpam-5807	290	12	2025	2025	NUM
ejpam-5807	290	13	)	)	PUNCT
ejpam-5807	290	14	,	,	PUNCT
ejpam-5807	290	15	5807	5807	NUM
ejpam-5807	290	16	15	15	NUM
ejpam-5807	290	17	of	of	ADP
ejpam-5807	290	18	16	16	NUM
ejpam-5807	290	19	ditions	dition	NOUN
ejpam-5807	290	20	for	for	ADP
ejpam-5807	290	21	its	its	PRON
ejpam-5807	290	22	existence	existence	NOUN
ejpam-5807	290	23	.	.	PUNCT
ejpam-5807	291	1	through	through	ADP
ejpam-5807	291	2	this	this	DET
ejpam-5807	291	3	investigation	investigation	NOUN
ejpam-5807	291	4	,	,	PUNCT
ejpam-5807	291	5	we	we	PRON
ejpam-5807	291	6	demonstrated	demonstrate	VERB
ejpam-5807	291	7	the	the	DET
ejpam-5807	291	8	transformative	transformative	ADJ
ejpam-5807	291	9	potential	potential	NOUN
ejpam-5807	291	10	of	of	ADP
ejpam-5807	291	11	these	these	DET
ejpam-5807	291	12	properties	property	NOUN
ejpam-5807	291	13	in	in	ADP
ejpam-5807	291	14	convolution	convolution	NOUN
ejpam-5807	291	15	theory	theory	NOUN
ejpam-5807	291	16	and	and	CCONJ
ejpam-5807	291	17	derivative	derivative	ADJ
ejpam-5807	291	18	operations	operation	NOUN
ejpam-5807	291	19	.	.	PUNCT
ejpam-5807	292	1	by	by	ADP
ejpam-5807	292	2	establishing	establish	VERB
ejpam-5807	292	3	a	a	DET
ejpam-5807	292	4	robust	robust	ADJ
ejpam-5807	292	5	theoretical	theoretical	ADJ
ejpam-5807	292	6	framework	framework	NOUN
ejpam-5807	292	7	and	and	CCONJ
ejpam-5807	292	8	validating	validate	VERB
ejpam-5807	292	9	its	its	PRON
ejpam-5807	292	10	applicability	applicability	NOUN
ejpam-5807	292	11	,	,	PUNCT
ejpam-5807	292	12	we	we	PRON
ejpam-5807	292	13	highlighted	highlight	VERB
ejpam-5807	292	14	the	the	DET
ejpam-5807	292	15	practical	practical	ADJ
ejpam-5807	292	16	advantages	advantage	NOUN
ejpam-5807	292	17	of	of	ADP
ejpam-5807	292	18	the	the	DET
ejpam-5807	292	19	da	da	PROPN
ejpam-5807	292	20	-	-	PUNCT
ejpam-5807	292	21	swt	swt	PROPN
ejpam-5807	292	22	in	in	ADP
ejpam-5807	292	23	problem	problem	NOUN
ejpam-5807	292	24	-	-	PUNCT
ejpam-5807	292	25	solving	solving	NOUN
ejpam-5807	292	26	.	.	PUNCT
ejpam-5807	293	1	where	where	SCONJ
ejpam-5807	293	2	relevant	relevant	ADJ
ejpam-5807	293	3	,	,	PUNCT
ejpam-5807	293	4	we	we	PRON
ejpam-5807	293	5	connected	connect	VERB
ejpam-5807	293	6	earlier	early	ADV
ejpam-5807	293	7	numerical	numerical	ADJ
ejpam-5807	293	8	procedures	procedure	NOUN
ejpam-5807	293	9	that	that	PRON
ejpam-5807	293	10	benefited	benefit	VERB
ejpam-5807	293	11	from	from	ADP
ejpam-5807	293	12	our	our	PRON
ejpam-5807	293	13	previous	previous	ADJ
ejpam-5807	293	14	research	research	NOUN
ejpam-5807	293	15	,	,	PUNCT
ejpam-5807	293	16	showcasing	showcase	VERB
ejpam-5807	293	17	how	how	SCONJ
ejpam-5807	293	18	the	the	DET
ejpam-5807	293	19	da	da	PROPN
ejpam-5807	293	20	-	-	PUNCT
ejpam-5807	293	21	swt	swt	PROPN
ejpam-5807	293	22	builds	build	VERB
ejpam-5807	293	23	upon	upon	SCONJ
ejpam-5807	293	24	and	and	CCONJ
ejpam-5807	293	25	enhances	enhance	VERB
ejpam-5807	293	26	existing	exist	VERB
ejpam-5807	293	27	methodologies	methodology	NOUN
ejpam-5807	293	28	.	.	PUNCT
ejpam-5807	294	1	we	we	PRON
ejpam-5807	294	2	foresee	foresee	VERB
ejpam-5807	294	3	significant	significant	ADJ
ejpam-5807	294	4	potential	potential	NOUN
ejpam-5807	294	5	for	for	ADP
ejpam-5807	294	6	the	the	DET
ejpam-5807	294	7	da	da	PROPN
ejpam-5807	294	8	-	-	PUNCT
ejpam-5807	294	9	swt	swt	PROPN
ejpam-5807	294	10	in	in	ADP
ejpam-5807	294	11	addressing	address	VERB
ejpam-5807	294	12	fractional	fractional	ADJ
ejpam-5807	294	13	and	and	CCONJ
ejpam-5807	294	14	conformable	conformable	ADJ
ejpam-5807	294	15	partial	partial	ADJ
ejpam-5807	294	16	differential	differential	ADJ
ejpam-5807	294	17	equations	equation	NOUN
ejpam-5807	294	18	(	(	PUNCT
ejpam-5807	294	19	pdes	pde	NOUN
ejpam-5807	294	20	)	)	PUNCT
ejpam-5807	294	21	and	and	CCONJ
ejpam-5807	294	22	integro	integro	NOUN
ejpam-5807	294	23	-	-	PUNCT
ejpam-5807	294	24	pdes	pde	NOUN
ejpam-5807	294	25	with	with	ADP
ejpam-5807	294	26	variable	variable	ADJ
ejpam-5807	294	27	coefficients	coefficient	NOUN
ejpam-5807	294	28	.	.	PUNCT
ejpam-5807	295	1	this	this	DET
ejpam-5807	295	2	innovative	innovative	ADJ
ejpam-5807	295	3	transform	transform	NOUN
ejpam-5807	295	4	method	method	NOUN
ejpam-5807	295	5	paves	pave	VERB
ejpam-5807	295	6	the	the	DET
ejpam-5807	295	7	way	way	NOUN
ejpam-5807	295	8	for	for	ADP
ejpam-5807	295	9	future	future	ADJ
ejpam-5807	295	10	advancements	advancement	NOUN
ejpam-5807	295	11	in	in	ADP
ejpam-5807	295	12	solving	solve	VERB
ejpam-5807	295	13	complex	complex	ADJ
ejpam-5807	295	14	mathematical	mathematical	ADJ
ejpam-5807	295	15	and	and	CCONJ
ejpam-5807	295	16	scientific	scientific	ADJ
ejpam-5807	295	17	problems	problem	NOUN
ejpam-5807	295	18	.	.	PUNCT
ejpam-5807	296	1	additional	additional	ADJ
ejpam-5807	296	2	results	result	NOUN
ejpam-5807	296	3	related	relate	VERB
ejpam-5807	296	4	to	to	ADP
ejpam-5807	296	5	conformable	conformable	ADJ
ejpam-5807	296	6	pdes	pde	NOUN
ejpam-5807	296	7	and	and	CCONJ
ejpam-5807	296	8	integro	integro	ADJ
ejpam-5807	296	9	pdes	pde	NOUN
ejpam-5807	296	10	are	be	AUX
ejpam-5807	296	11	available	available	ADJ
ejpam-5807	296	12	in	in	ADP
ejpam-5807	296	13	references	reference	NOUN
ejpam-5807	296	14	[	[	X
ejpam-5807	296	15	4	4	NUM
ejpam-5807	296	16	,	,	PUNCT
ejpam-5807	296	17	8	8	NUM
ejpam-5807	296	18	]	]	PUNCT
ejpam-5807	296	19	.	.	PUNCT
ejpam-5807	297	1	author	author	NOUN
ejpam-5807	297	2	contribution	contribution	NOUN
ejpam-5807	297	3	statement	statement	NOUN
ejpam-5807	297	4	the	the	DET
ejpam-5807	297	5	authors	author	NOUN
ejpam-5807	297	6	listed	list	VERB
ejpam-5807	297	7	have	have	AUX
ejpam-5807	297	8	significantly	significantly	ADV
ejpam-5807	297	9	contributed	contribute	VERB
ejpam-5807	297	10	to	to	ADP
ejpam-5807	297	11	the	the	DET
ejpam-5807	297	12	development	development	NOUN
ejpam-5807	297	13	and	and	CCONJ
ejpam-5807	297	14	the	the	DET
ejpam-5807	297	15	writing	writing	NOUN
ejpam-5807	297	16	of	of	ADP
ejpam-5807	297	17	this	this	DET
ejpam-5807	297	18	article	article	NOUN
ejpam-5807	297	19	.	.	PUNCT
ejpam-5807	298	1	data	datum	NOUN
ejpam-5807	298	2	availability	availability	NOUN
ejpam-5807	298	3	statement	statement	NOUN
ejpam-5807	298	4	no	no	DET
ejpam-5807	298	5	data	datum	NOUN
ejpam-5807	298	6	was	be	AUX
ejpam-5807	298	7	used	use	VERB
ejpam-5807	298	8	for	for	ADP
ejpam-5807	298	9	the	the	DET
ejpam-5807	298	10	research	research	NOUN
ejpam-5807	298	11	described	describe	VERB
ejpam-5807	298	12	in	in	ADP
ejpam-5807	298	13	the	the	DET
ejpam-5807	298	14	article	article	NOUN
ejpam-5807	298	15	.	.	PUNCT
ejpam-5807	299	1	conflict	conflict	NOUN
ejpam-5807	299	2	of	of	ADP
ejpam-5807	299	3	interest	interest	NOUN
ejpam-5807	299	4	the	the	DET
ejpam-5807	299	5	authors	author	NOUN
ejpam-5807	299	6	declare	declare	VERB
ejpam-5807	299	7	that	that	SCONJ
ejpam-5807	299	8	they	they	PRON
ejpam-5807	299	9	have	have	VERB
ejpam-5807	299	10	no	no	DET
ejpam-5807	299	11	conflict	conflict	NOUN
ejpam-5807	299	12	of	of	ADP
ejpam-5807	299	13	interest	interest	NOUN
ejpam-5807	299	14	.	.	PUNCT
ejpam-5807	300	1	references	reference	NOUN
ejpam-5807	300	2	[	[	X
ejpam-5807	300	3	1	1	NUM
ejpam-5807	300	4	]	]	SYM
ejpam-5807	300	5	b	b	X
ejpam-5807	300	6	abughazaleh	abughazaleh	NOUN
ejpam-5807	300	7	,	,	PUNCT
ejpam-5807	300	8	ma	ma	PROPN
ejpam-5807	300	9	amleh	amleh	PROPN
ejpam-5807	300	10	,	,	PUNCT
ejpam-5807	300	11	a	a	DET
ejpam-5807	300	12	al	al	NOUN
ejpam-5807	300	13	-	-	PUNCT
ejpam-5807	300	14	natoor	natoor	NOUN
ejpam-5807	300	15	,	,	PUNCT
ejpam-5807	300	16	and	and	CCONJ
ejpam-5807	300	17	r	r	NOUN
ejpam-5807	300	18	saadeh	saadeh	PROPN
ejpam-5807	300	19	.	.	PUNCT
ejpam-5807	301	1	double	double	ADJ
ejpam-5807	301	2	mellin	mellin	PROPN
ejpam-5807	301	3	-	-	PUNCT
ejpam-5807	301	4	ara	ara	NOUN
ejpam-5807	301	5	transform	transform	NOUN
ejpam-5807	301	6	.	.	PUNCT
ejpam-5807	302	1	springer	springer	NOUN
ejpam-5807	302	2	proceedings	proceeding	NOUN
ejpam-5807	302	3	in	in	ADP
ejpam-5807	302	4	mathematics	mathematic	NOUN
ejpam-5807	302	5	and	and	CCONJ
ejpam-5807	302	6	statistics	statistic	NOUN
ejpam-5807	302	7	,	,	PUNCT
ejpam-5807	302	8	466:383–394	466:383–394	NUM
ejpam-5807	302	9	,	,	PUNCT
ejpam-5807	302	10	2024	2024	NUM
ejpam-5807	302	11	.	.	PUNCT
ejpam-5807	303	1	[	[	X
ejpam-5807	303	2	2	2	X
ejpam-5807	303	3	]	]	PUNCT
ejpam-5807	303	4	a	a	DET
ejpam-5807	303	5	aghili	aghili	NOUN
ejpam-5807	303	6	and	and	CCONJ
ejpam-5807	303	7	b	b	NOUN
ejpam-5807	303	8	parsa	parsa	ADJ
ejpam-5807	303	9	moghaddam	moghaddam	NOUN
ejpam-5807	303	10	.	.	PUNCT
ejpam-5807	304	1	certain	certain	ADJ
ejpam-5807	304	2	theorems	theorem	NOUN
ejpam-5807	304	3	on	on	ADP
ejpam-5807	304	4	two	two	NUM
ejpam-5807	304	5	-	-	PUNCT
ejpam-5807	304	6	dimensional	dimensional	ADJ
ejpam-5807	304	7	laplace	laplace	NOUN
ejpam-5807	304	8	transform	transform	NOUN
ejpam-5807	304	9	and	and	CCONJ
ejpam-5807	304	10	non	non	ADJ
ejpam-5807	304	11	-	-	ADJ
ejpam-5807	304	12	homogeneous	homogeneous	ADJ
ejpam-5807	304	13	parabolic	parabolic	ADJ
ejpam-5807	304	14	partial	partial	ADJ
ejpam-5807	304	15	differential	differential	NOUN
ejpam-5807	304	16	equations	equation	NOUN
ejpam-5807	304	17	.	.	PUNCT
ejpam-5807	305	1	surv	surv	PROPN
ejpam-5807	305	2	.	.	PUNCT
ejpam-5807	306	1	math	math	NOUN
ejpam-5807	306	2	.	.	PUNCT
ejpam-5807	307	1	its	its	PRON
ejpam-5807	307	2	appl	appl	NOUN
ejpam-5807	307	3	.	.	PROPN
ejpam-5807	307	4	,	,	PUNCT
ejpam-5807	307	5	6:165–174	6:165–174	NUM
ejpam-5807	307	6	,	,	PUNCT
ejpam-5807	307	7	2011	2011	NUM
ejpam-5807	307	8	.	.	PUNCT
ejpam-5807	308	1	[	[	X
ejpam-5807	308	2	3	3	X
ejpam-5807	308	3	]	]	X
ejpam-5807	308	4	m	m	VERB
ejpam-5807	308	5	al	al	PROPN
ejpam-5807	308	6	-	-	PUNCT
ejpam-5807	308	7	momani	momani	PROPN
ejpam-5807	308	8	,	,	PUNCT
ejpam-5807	308	9	a	a	DET
ejpam-5807	308	10	jaradat	jaradat	NOUN
ejpam-5807	308	11	,	,	PUNCT
ejpam-5807	308	12	and	and	CCONJ
ejpam-5807	308	13	b	b	X
ejpam-5807	308	14	abughazaleh	abughazaleh	NOUN
ejpam-5807	308	15	.	.	PUNCT
ejpam-5807	309	1	double	double	ADJ
ejpam-5807	309	2	laplace	laplace	NOUN
ejpam-5807	309	3	-	-	PUNCT
ejpam-5807	309	4	sawi	sawi	NOUN
ejpam-5807	309	5	transform	transform	NOUN
ejpam-5807	309	6	.	.	PUNCT
ejpam-5807	310	1	eur	eur	PROPN
ejpam-5807	310	2	.	.	PUNCT
ejpam-5807	311	1	j.	j.	PROPN
ejpam-5807	311	2	pure	pure	PROPN
ejpam-5807	311	3	appl	appl	PROPN
ejpam-5807	311	4	.	.	PUNCT
ejpam-5807	311	5	math	math	PROPN
ejpam-5807	311	6	.	.	PUNCT
ejpam-5807	312	1	,	,	PUNCT
ejpam-5807	312	2	18(1):5619	18(1):5619	NUM
ejpam-5807	312	3	,	,	PUNCT
ejpam-5807	312	4	2025	2025	NUM
ejpam-5807	312	5	.	.	PUNCT
ejpam-5807	313	1	[	[	X
ejpam-5807	313	2	4	4	X
ejpam-5807	313	3	]	]	X
ejpam-5807	313	4	ma	ma	PROPN
ejpam-5807	313	5	amleh	amleh	PROPN
ejpam-5807	313	6	,	,	PUNCT
ejpam-5807	313	7	b	b	NOUN
ejpam-5807	313	8	abughazaleh	abughazaleh	NOUN
ejpam-5807	313	9	,	,	PUNCT
ejpam-5807	313	10	and	and	CCONJ
ejpam-5807	313	11	a	a	DET
ejpam-5807	313	12	al	al	NOUN
ejpam-5807	313	13	-	-	PUNCT
ejpam-5807	313	14	natoor	natoor	NOUN
ejpam-5807	313	15	.	.	PUNCT
ejpam-5807	314	1	conformable	conformable	ADJ
ejpam-5807	314	2	fractional	fractional	ADJ
ejpam-5807	314	3	lomax	lomax	PROPN
ejpam-5807	314	4	probability	probability	NOUN
ejpam-5807	314	5	distribution	distribution	NOUN
ejpam-5807	314	6	.	.	PUNCT
ejpam-5807	315	1	j.	j.	PROPN
ejpam-5807	315	2	math	math	PROPN
ejpam-5807	315	3	.	.	PUNCT
ejpam-5807	316	1	comput	comput	NOUN
ejpam-5807	316	2	.	.	PUNCT
ejpam-5807	317	1	sci	sci	PROPN
ejpam-5807	317	2	.	.	PROPN
ejpam-5807	317	3	,	,	PUNCT
ejpam-5807	317	4	12	12	NUM
ejpam-5807	317	5	:	:	PUNCT
ejpam-5807	317	6	article	article	NOUN
ejpam-5807	317	7	–	–	PUNCT
ejpam-5807	317	8	id	id	X
ejpam-5807	317	9	130	130	NUM
ejpam-5807	317	10	,	,	PUNCT
ejpam-5807	317	11	2022	2022	NUM
ejpam-5807	317	12	.	.	PUNCT
ejpam-5807	318	1	[	[	X
ejpam-5807	318	2	5	5	NUM
ejpam-5807	318	3	]	]	SYM
ejpam-5807	318	4	m	m	VERB
ejpam-5807	318	5	hunaiber	hunaiber	NOUN
ejpam-5807	318	6	and	and	CCONJ
ejpam-5807	318	7	a	a	DET
ejpam-5807	318	8	al	al	PROPN
ejpam-5807	318	9	-	-	PUNCT
ejpam-5807	318	10	aati	aati	PROPN
ejpam-5807	318	11	.	.	PUNCT
ejpam-5807	319	1	on	on	ADP
ejpam-5807	319	2	double	double	ADJ
ejpam-5807	319	3	laplace	laplace	NOUN
ejpam-5807	319	4	-	-	PUNCT
ejpam-5807	319	5	shehu	shehu	NOUN
ejpam-5807	319	6	transform	transform	NOUN
ejpam-5807	319	7	and	and	CCONJ
ejpam-5807	319	8	its	its	PRON
ejpam-5807	319	9	properties	property	NOUN
ejpam-5807	319	10	with	with	ADP
ejpam-5807	319	11	applications	application	NOUN
ejpam-5807	319	12	.	.	PUNCT
ejpam-5807	320	1	turkish	turkish	ADJ
ejpam-5807	320	2	journal	journal	NOUN
ejpam-5807	320	3	of	of	ADP
ejpam-5807	320	4	mathematics	mathematic	NOUN
ejpam-5807	320	5	and	and	CCONJ
ejpam-5807	320	6	computer	computer	NOUN
ejpam-5807	320	7	science	science	NOUN
ejpam-5807	320	8	,	,	PUNCT
ejpam-5807	320	9	15(2):218	15(2):218	NUM
ejpam-5807	320	10	–	–	PUNCT
ejpam-5807	320	11	226	226	NUM
ejpam-5807	320	12	,	,	PUNCT
ejpam-5807	320	13	2023	2023	NUM
ejpam-5807	320	14	.	.	PUNCT
ejpam-5807	321	1	[	[	X
ejpam-5807	321	2	6	6	NUM
ejpam-5807	321	3	]	]	X
ejpam-5807	321	4	s	s	PART
ejpam-5807	321	5	khan	khan	PROPN
ejpam-5807	321	6	,	,	PUNCT
ejpam-5807	321	7	a	a	DET
ejpam-5807	321	8	ullah	ullah	PROPN
ejpam-5807	321	9	,	,	PUNCT
ejpam-5807	321	10	m	m	PROPN
ejpam-5807	321	11	de	de	X
ejpam-5807	321	12	la	la	X
ejpam-5807	321	13	sen	sen	PROPN
ejpam-5807	321	14	,	,	PUNCT
ejpam-5807	321	15	and	and	CCONJ
ejpam-5807	321	16	s	s	AUX
ejpam-5807	321	17	ahmad	ahmad	PROPN
ejpam-5807	321	18	.	.	PROPN
ejpam-5807	321	19	double	double	ADJ
ejpam-5807	321	20	sawi	sawi	PROPN
ejpam-5807	321	21	transform	transform	NOUN
ejpam-5807	321	22	:	:	PUNCT
ejpam-5807	321	23	theory	theory	NOUN
ejpam-5807	321	24	and	and	CCONJ
ejpam-5807	321	25	applications	application	NOUN
ejpam-5807	321	26	to	to	ADP
ejpam-5807	321	27	boundary	boundary	ADJ
ejpam-5807	321	28	values	value	NOUN
ejpam-5807	321	29	problems	problem	NOUN
ejpam-5807	321	30	.	.	PUNCT
ejpam-5807	322	1	symmetry	symmetry	NOUN
ejpam-5807	322	2	,	,	PUNCT
ejpam-5807	322	3	15(4):921	15(4):921	NUM
ejpam-5807	322	4	,	,	PUNCT
ejpam-5807	322	5	2023	2023	NUM
ejpam-5807	322	6	.	.	PUNCT
ejpam-5807	323	1	[	[	X
ejpam-5807	323	2	7	7	X
ejpam-5807	323	3	]	]	X
ejpam-5807	323	4	m	m	VERB
ejpam-5807	323	5	mahgoub	mahgoub	NOUN
ejpam-5807	323	6	and	and	CCONJ
ejpam-5807	323	7	mmohand	mmohand	NOUN
ejpam-5807	323	8	.	.	PUNCT
ejpam-5807	324	1	the	the	DET
ejpam-5807	324	2	new	new	ADJ
ejpam-5807	324	3	integral	integral	ADJ
ejpam-5807	324	4	transform	transform	NOUN
ejpam-5807	324	5	”	"	PUNCT
ejpam-5807	324	6	sawi	sawi	ADJ
ejpam-5807	324	7	transform	transform	NOUN
ejpam-5807	324	8	”	"	PUNCT
ejpam-5807	324	9	.	.	PUNCT
ejpam-5807	325	1	advances	advance	NOUN
ejpam-5807	325	2	in	in	ADP
ejpam-5807	325	3	theoretical	theoretical	ADJ
ejpam-5807	325	4	and	and	CCONJ
ejpam-5807	325	5	applied	apply	VERB
ejpam-5807	325	6	mathematics	mathematic	NOUN
ejpam-5807	325	7	,	,	PUNCT
ejpam-5807	325	8	14(1):81–87	14(1):81–87	NUM
ejpam-5807	325	9	,	,	PUNCT
ejpam-5807	325	10	2019	2019	NUM
ejpam-5807	325	11	.	.	PUNCT
ejpam-5807	326	1	[	[	X
ejpam-5807	326	2	8	8	NUM
ejpam-5807	326	3	]	]	X
ejpam-5807	326	4	a	a	DET
ejpam-5807	326	5	qazza	qazza	NOUN
ejpam-5807	326	6	,	,	PUNCT
ejpam-5807	326	7	a	a	DET
ejpam-5807	326	8	burqan	burqan	NOUN
ejpam-5807	326	9	,	,	PUNCT
ejpam-5807	326	10	r	r	NOUN
ejpam-5807	326	11	saadeh	saadeh	NOUN
ejpam-5807	326	12	,	,	PUNCT
ejpam-5807	326	13	and	and	CCONJ
ejpam-5807	326	14	r	r	PROPN
ejpam-5807	326	15	khalil	khalil	PROPN
ejpam-5807	326	16	.	.	PUNCT
ejpam-5807	327	1	applications	application	NOUN
ejpam-5807	327	2	on	on	ADP
ejpam-5807	327	3	double	double	ADJ
ejpam-5807	327	4	ara	ara	NOUN
ejpam-5807	327	5	–	–	PUNCT
ejpam-5807	327	6	sumudu	sumudu	NOUN
ejpam-5807	327	7	transform	transform	NOUN
ejpam-5807	327	8	in	in	ADP
ejpam-5807	327	9	solving	solve	VERB
ejpam-5807	327	10	fractional	fractional	ADJ
ejpam-5807	327	11	partial	partial	ADJ
ejpam-5807	327	12	differential	differential	NOUN
ejpam-5807	327	13	equations	equation	NOUN
ejpam-5807	327	14	.	.	PUNCT
ejpam-5807	328	1	symmetry	symmetry	PROPN
ejpam-5807	328	2	,	,	PUNCT
ejpam-5807	328	3	14(9):1817	14(9):1817	NUM
ejpam-5807	328	4	,	,	PUNCT
ejpam-5807	328	5	2022	2022	NUM
ejpam-5807	328	6	.	.	PUNCT
ejpam-5807	329	1	r.	r.	PROPN
ejpam-5807	329	2	abu	abu	PROPN
ejpam-5807	329	3	awwad	awwad	PROPN
ejpam-5807	329	4	et	et	PROPN
ejpam-5807	329	5	al	al	PROPN
ejpam-5807	329	6	.	.	PUNCT
ejpam-5807	329	7	/	/	SYM
ejpam-5807	329	8	eur	eur	PROPN
ejpam-5807	329	9	.	.	PUNCT
ejpam-5807	330	1	j.	j.	PROPN
ejpam-5807	330	2	pure	pure	PROPN
ejpam-5807	330	3	appl	appl	PROPN
ejpam-5807	330	4	.	.	PROPN
ejpam-5807	330	5	math	math	PROPN
ejpam-5807	330	6	,	,	PUNCT
ejpam-5807	330	7	18	18	NUM
ejpam-5807	330	8	(	(	PUNCT
ejpam-5807	330	9	1	1	NUM
ejpam-5807	330	10	)	)	PUNCT
ejpam-5807	330	11	(	(	PUNCT
ejpam-5807	330	12	2025	2025	NUM
ejpam-5807	330	13	)	)	PUNCT
ejpam-5807	330	14	,	,	PUNCT
ejpam-5807	330	15	5807	5807	NUM
ejpam-5807	330	16	16	16	NUM
ejpam-5807	330	17	of	of	ADP
ejpam-5807	330	18	16	16	NUM
ejpam-5807	331	1	[	[	X
ejpam-5807	331	2	9	9	NUM
ejpam-5807	331	3	]	]	X
ejpam-5807	331	4	r	r	NOUN
ejpam-5807	331	5	saadeh	saadeh	PROPN
ejpam-5807	331	6	,	,	PUNCT
ejpam-5807	331	7	a	a	DET
ejpam-5807	331	8	qazza	qazza	NOUN
ejpam-5807	331	9	,	,	PUNCT
ejpam-5807	331	10	and	and	CCONJ
ejpam-5807	331	11	a	a	DET
ejpam-5807	331	12	burqan	burqan	NOUN
ejpam-5807	331	13	.	.	PUNCT
ejpam-5807	332	1	a	a	DET
ejpam-5807	332	2	new	new	ADJ
ejpam-5807	332	3	integral	integral	ADJ
ejpam-5807	332	4	transform	transform	NOUN
ejpam-5807	332	5	:	:	PUNCT
ejpam-5807	332	6	ara	ara	NOUN
ejpam-5807	332	7	transform	transform	NOUN
ejpam-5807	332	8	and	and	CCONJ
ejpam-5807	332	9	its	its	PRON
ejpam-5807	332	10	properties	property	NOUN
ejpam-5807	332	11	and	and	CCONJ
ejpam-5807	332	12	applications	application	NOUN
ejpam-5807	332	13	.	.	PUNCT
ejpam-5807	333	1	symmetry	symmetry	NOUN
ejpam-5807	333	2	,	,	PUNCT
ejpam-5807	333	3	12:925	12:925	NUM
ejpam-5807	333	4	,	,	PUNCT
ejpam-5807	333	5	2020	2020	NUM
ejpam-5807	333	6	.	.	PUNCT
ejpam-5807	334	1	[	[	X
ejpam-5807	334	2	10	10	NUM
ejpam-5807	334	3	]	]	X
ejpam-5807	334	4	ak	ak	PROPN
ejpam-5807	334	5	sedeeg	sedeeg	PROPN
ejpam-5807	334	6	,	,	PUNCT
ejpam-5807	334	7	zi	zi	NOUN
ejpam-5807	334	8	mahamoud	mahamoud	NOUN
ejpam-5807	334	9	,	,	PUNCT
ejpam-5807	334	10	and	and	CCONJ
ejpam-5807	334	11	r	r	NOUN
ejpam-5807	334	12	saadeh	saadeh	PROPN
ejpam-5807	334	13	.	.	PUNCT
ejpam-5807	335	1	using	use	VERB
ejpam-5807	335	2	double	double	ADJ
ejpam-5807	335	3	integral	integral	ADJ
ejpam-5807	335	4	transform	transform	NOUN
ejpam-5807	335	5	(	(	PUNCT
ejpam-5807	335	6	laplaceara	laplaceara	ADJ
ejpam-5807	335	7	transform	transform	NOUN
ejpam-5807	335	8	)	)	PUNCT
ejpam-5807	335	9	in	in	ADP
ejpam-5807	335	10	solving	solve	VERB
ejpam-5807	335	11	partial	partial	ADJ
ejpam-5807	335	12	differential	differential	NOUN
ejpam-5807	335	13	equations	equation	NOUN
ejpam-5807	335	14	.	.	PUNCT
ejpam-5807	336	1	symmetry	symmetry	PROPN
ejpam-5807	336	2	,	,	PUNCT
ejpam-5807	336	3	14(11):2418	14(11):2418	NUM
ejpam-5807	336	4	,	,	PUNCT
ejpam-5807	336	5	2022	2022	NUM
ejpam-5807	336	6	.	.	PUNCT