id	sid	tid	token	lemma	pos
ejpam-5619	1	1	european	european	PROPN
ejpam-5619	1	2	journal	journal	PROPN
ejpam-5619	1	3	of	of	ADP
ejpam-5619	1	4	pure	pure	ADJ
ejpam-5619	1	5	and	and	CCONJ
ejpam-5619	1	6	applied	applied	ADJ
ejpam-5619	1	7	mathematics	mathematic	NOUN
ejpam-5619	1	8	2025	2025	NUM
ejpam-5619	1	9	,	,	PUNCT
ejpam-5619	1	10	vol	vol	NOUN
ejpam-5619	1	11	.	.	PROPN
ejpam-5619	1	12	18	18	NUM
ejpam-5619	1	13	,	,	PUNCT
ejpam-5619	1	14	issue	issue	NOUN
ejpam-5619	1	15	1	1	NUM
ejpam-5619	1	16	,	,	PUNCT
ejpam-5619	1	17	article	article	NOUN
ejpam-5619	1	18	number	number	NOUN
ejpam-5619	1	19	5619	5619	NUM
ejpam-5619	1	20	issn	issn	PROPN
ejpam-5619	1	21	1307	1307	NUM
ejpam-5619	1	22	-	-	SYM
ejpam-5619	1	23	5543	5543	NUM
ejpam-5619	1	24	–	–	PUNCT
ejpam-5619	1	25	ejpam.com	ejpam.com	X
ejpam-5619	1	26	published	publish	VERB
ejpam-5619	1	27	by	by	ADP
ejpam-5619	1	28	new	new	PROPN
ejpam-5619	1	29	york	york	PROPN
ejpam-5619	1	30	business	business	PROPN
ejpam-5619	1	31	global	global	ADJ
ejpam-5619	1	32	double	double	ADJ
ejpam-5619	1	33	laplace	laplace	NOUN
ejpam-5619	1	34	-	-	PUNCT
ejpam-5619	1	35	sawi	sawi	NOUN
ejpam-5619	1	36	transform	transform	NOUN
ejpam-5619	1	37	monther	monther	PROPN
ejpam-5619	1	38	al	al	PROPN
ejpam-5619	1	39	-	-	PUNCT
ejpam-5619	1	40	momani1	momani1	PROPN
ejpam-5619	1	41	,	,	PUNCT
ejpam-5619	1	42	ali	ali	PROPN
ejpam-5619	1	43	jaradat1	jaradat1	PROPN
ejpam-5619	1	44	,	,	PUNCT
ejpam-5619	1	45	baha	baha	PROPN
ejpam-5619	1	46	’	'	PUNCT
ejpam-5619	1	47	abughazaleh2,∗	abughazaleh2,∗	PROPN
ejpam-5619	1	48	1	1	NUM
ejpam-5619	1	49	department	department	NOUN
ejpam-5619	1	50	of	of	ADP
ejpam-5619	1	51	mathematics	mathematic	NOUN
ejpam-5619	1	52	,	,	PUNCT
ejpam-5619	1	53	amman	amman	PROPN
ejpam-5619	1	54	arab	arab	PROPN
ejpam-5619	1	55	university	university	PROPN
ejpam-5619	1	56	,	,	PUNCT
ejpam-5619	1	57	amman	amman	PROPN
ejpam-5619	1	58	,	,	PUNCT
ejpam-5619	1	59	jordan	jordan	PROPN
ejpam-5619	1	60	2	2	NUM
ejpam-5619	1	61	department	department	NOUN
ejpam-5619	1	62	of	of	ADP
ejpam-5619	1	63	mathematics	mathematics	PROPN
ejpam-5619	1	64	,	,	PUNCT
ejpam-5619	1	65	isra	isra	PROPN
ejpam-5619	1	66	university	university	PROPN
ejpam-5619	1	67	,	,	PUNCT
ejpam-5619	1	68	amman	amman	PROPN
ejpam-5619	1	69	,	,	PUNCT
ejpam-5619	1	70	jordan	jordan	PROPN
ejpam-5619	1	71	abstract	abstract	PROPN
ejpam-5619	1	72	.	.	PUNCT
ejpam-5619	2	1	the	the	DET
ejpam-5619	2	2	primary	primary	ADJ
ejpam-5619	2	3	objective	objective	NOUN
ejpam-5619	2	4	of	of	ADP
ejpam-5619	2	5	this	this	DET
ejpam-5619	2	6	study	study	NOUN
ejpam-5619	2	7	is	be	AUX
ejpam-5619	2	8	to	to	PART
ejpam-5619	2	9	develop	develop	VERB
ejpam-5619	2	10	a	a	DET
ejpam-5619	2	11	new	new	ADJ
ejpam-5619	2	12	integral	integral	ADJ
ejpam-5619	2	13	transform	transform	NOUN
ejpam-5619	2	14	by	by	ADP
ejpam-5619	2	15	combining	combine	VERB
ejpam-5619	2	16	the	the	DET
ejpam-5619	2	17	laplace	laplace	NOUN
ejpam-5619	2	18	and	and	CCONJ
ejpam-5619	2	19	sawi	sawi	ADJ
ejpam-5619	2	20	transforms	transform	VERB
ejpam-5619	2	21	,	,	PUNCT
ejpam-5619	2	22	and	and	CCONJ
ejpam-5619	2	23	to	to	PART
ejpam-5619	2	24	investigate	investigate	VERB
ejpam-5619	2	25	its	its	PRON
ejpam-5619	2	26	key	key	ADJ
ejpam-5619	2	27	properties	property	NOUN
ejpam-5619	2	28	,	,	PUNCT
ejpam-5619	2	29	existence	existence	NOUN
ejpam-5619	2	30	,	,	PUNCT
ejpam-5619	2	31	and	and	CCONJ
ejpam-5619	2	32	the	the	DET
ejpam-5619	2	33	inversion	inversion	NOUN
ejpam-5619	2	34	theorem	theorem	VERB
ejpam-5619	2	35	.	.	PUNCT
ejpam-5619	3	1	furthermore	furthermore	ADV
ejpam-5619	3	2	,	,	PUNCT
ejpam-5619	3	3	we	we	PRON
ejpam-5619	3	4	introduce	introduce	VERB
ejpam-5619	3	5	new	new	ADJ
ejpam-5619	3	6	results	result	NOUN
ejpam-5619	3	7	related	relate	VERB
ejpam-5619	3	8	to	to	ADP
ejpam-5619	3	9	partial	partial	ADJ
ejpam-5619	3	10	differential	differential	ADJ
ejpam-5619	3	11	equations	equation	NOUN
ejpam-5619	3	12	in	in	ADP
ejpam-5619	3	13	higher	high	ADJ
ejpam-5619	3	14	dimensions	dimension	NOUN
ejpam-5619	3	15	and	and	CCONJ
ejpam-5619	3	16	extend	extend	VERB
ejpam-5619	3	17	the	the	DET
ejpam-5619	3	18	double	double	ADJ
ejpam-5619	3	19	convolution	convolution	NOUN
ejpam-5619	3	20	theorem	theorem	VERB
ejpam-5619	3	21	to	to	ADP
ejpam-5619	3	22	two	two	NUM
ejpam-5619	3	23	dimensions	dimension	NOUN
ejpam-5619	3	24	.	.	PUNCT
ejpam-5619	4	1	using	use	VERB
ejpam-5619	4	2	these	these	DET
ejpam-5619	4	3	new	new	ADJ
ejpam-5619	4	4	properties	property	NOUN
ejpam-5619	4	5	and	and	CCONJ
ejpam-5619	4	6	theorems	theorem	NOUN
ejpam-5619	4	7	,	,	PUNCT
ejpam-5619	4	8	we	we	PRON
ejpam-5619	4	9	solve	solve	VERB
ejpam-5619	4	10	special	special	ADJ
ejpam-5619	4	11	type	type	NOUN
ejpam-5619	4	12	differential	differential	NOUN
ejpam-5619	4	13	equations	equation	NOUN
ejpam-5619	4	14	with	with	ADP
ejpam-5619	4	15	some	some	DET
ejpam-5619	4	16	real	real	ADJ
ejpam-5619	4	17	applications	application	NOUN
ejpam-5619	4	18	in	in	ADP
ejpam-5619	4	19	physics	physics	NOUN
ejpam-5619	4	20	and	and	CCONJ
ejpam-5619	4	21	related	related	ADJ
ejpam-5619	4	22	sciences	science	NOUN
ejpam-5619	4	23	.	.	PUNCT
ejpam-5619	5	1	2020	2020	NUM
ejpam-5619	5	2	mathematics	mathematic	NOUN
ejpam-5619	5	3	subject	subject	NOUN
ejpam-5619	5	4	classifications	classification	NOUN
ejpam-5619	5	5	:	:	PUNCT
ejpam-5619	5	6	44a05	44a05	NUM
ejpam-5619	5	7	,	,	PUNCT
ejpam-5619	5	8	44a10	44a10	NUM
ejpam-5619	5	9	key	key	ADJ
ejpam-5619	5	10	words	word	NOUN
ejpam-5619	5	11	and	and	CCONJ
ejpam-5619	5	12	phrases	phrase	NOUN
ejpam-5619	5	13	:	:	PUNCT
ejpam-5619	5	14	laplace	laplace	NOUN
ejpam-5619	5	15	transform	transform	NOUN
ejpam-5619	5	16	,	,	PUNCT
ejpam-5619	5	17	sawi	sawi	ADJ
ejpam-5619	5	18	transform	transform	NOUN
ejpam-5619	5	19	,	,	PUNCT
ejpam-5619	5	20	double	double	ADJ
ejpam-5619	5	21	integral	integral	ADJ
ejpam-5619	5	22	transform	transform	NOUN
ejpam-5619	5	23	,	,	PUNCT
ejpam-5619	5	24	laplace	laplace	NOUN
ejpam-5619	5	25	-	-	PUNCT
ejpam-5619	5	26	sawi	sawi	NOUN
ejpam-5619	5	27	transform	transform	NOUN
ejpam-5619	5	28	1	1	NUM
ejpam-5619	5	29	.	.	PUNCT
ejpam-5619	6	1	introduction	introduction	NOUN
ejpam-5619	6	2	integral	integral	ADJ
ejpam-5619	6	3	transforms	transform	NOUN
ejpam-5619	6	4	are	be	AUX
ejpam-5619	6	5	powerful	powerful	ADJ
ejpam-5619	6	6	mathematical	mathematical	ADJ
ejpam-5619	6	7	tools	tool	NOUN
ejpam-5619	6	8	that	that	PRON
ejpam-5619	6	9	convert	convert	VERB
ejpam-5619	6	10	functions	function	NOUN
ejpam-5619	6	11	into	into	ADP
ejpam-5619	6	12	new	new	ADJ
ejpam-5619	6	13	domains	domain	NOUN
ejpam-5619	6	14	.	.	PUNCT
ejpam-5619	7	1	after	after	ADP
ejpam-5619	7	2	transforming	transform	VERB
ejpam-5619	7	3	the	the	DET
ejpam-5619	7	4	function	function	NOUN
ejpam-5619	7	5	can	can	AUX
ejpam-5619	7	6	be	be	AUX
ejpam-5619	7	7	returned	return	VERB
ejpam-5619	7	8	to	to	ADP
ejpam-5619	7	9	its	its	PRON
ejpam-5619	7	10	original	original	ADJ
ejpam-5619	7	11	space	space	NOUN
ejpam-5619	7	12	by	by	ADP
ejpam-5619	7	13	applying	apply	VERB
ejpam-5619	7	14	the	the	DET
ejpam-5619	7	15	inverse	inverse	NOUN
ejpam-5619	7	16	of	of	ADP
ejpam-5619	7	17	the	the	DET
ejpam-5619	7	18	integral	integral	ADJ
ejpam-5619	7	19	transform	transform	NOUN
ejpam-5619	7	20	.	.	PUNCT
ejpam-5619	8	1	by	by	ADP
ejpam-5619	8	2	applying	apply	VERB
ejpam-5619	8	3	an	an	DET
ejpam-5619	8	4	integral	integral	ADJ
ejpam-5619	8	5	transform	transform	NOUN
ejpam-5619	8	6	,	,	PUNCT
ejpam-5619	8	7	we	we	PRON
ejpam-5619	8	8	generate	generate	VERB
ejpam-5619	8	9	a	a	DET
ejpam-5619	8	10	new	new	ADJ
ejpam-5619	8	11	function	function	NOUN
ejpam-5619	8	12	g(δ	g(δ	PROPN
ejpam-5619	8	13	)	)	PUNCT
ejpam-5619	8	14	through	through	ADP
ejpam-5619	8	15	the	the	DET
ejpam-5619	8	16	integration	integration	NOUN
ejpam-5619	8	17	of	of	ADP
ejpam-5619	8	18	the	the	DET
ejpam-5619	8	19	product	product	NOUN
ejpam-5619	8	20	of	of	ADP
ejpam-5619	8	21	g	g	PROPN
ejpam-5619	8	22	(	(	PUNCT
ejpam-5619	8	23	η	η	NOUN
ejpam-5619	8	24	)	)	PUNCT
ejpam-5619	8	25	and	and	CCONJ
ejpam-5619	8	26	k(η	k(η	PROPN
ejpam-5619	8	27	,	,	PUNCT
ejpam-5619	8	28	δ	δ	PROPN
ejpam-5619	8	29	)	)	PUNCT
ejpam-5619	8	30	across	across	ADP
ejpam-5619	8	31	the	the	DET
ejpam-5619	8	32	interval	interval	NOUN
ejpam-5619	8	33	[	[	X
ejpam-5619	8	34	a	a	X
ejpam-5619	8	35	,	,	PUNCT
ejpam-5619	8	36	b	b	NOUN
ejpam-5619	8	37	]	]	PUNCT
ejpam-5619	8	38	represented	represent	VERB
ejpam-5619	8	39	by	by	ADP
ejpam-5619	8	40	:	:	PUNCT
ejpam-5619	8	41	b∫	b∫	PROPN
ejpam-5619	8	42	a	a	DET
ejpam-5619	8	43	g(η)k(η	g(η)k(η	NOUN
ejpam-5619	8	44	,	,	PUNCT
ejpam-5619	8	45	δ)dη	δ)dη	PROPN
ejpam-5619	8	46	they	they	PRON
ejpam-5619	8	47	are	be	AUX
ejpam-5619	8	48	pivotal	pivotal	ADJ
ejpam-5619	8	49	in	in	ADP
ejpam-5619	8	50	engineering	engineering	NOUN
ejpam-5619	8	51	,	,	PUNCT
ejpam-5619	8	52	economics	economic	NOUN
ejpam-5619	8	53	,	,	PUNCT
ejpam-5619	8	54	physics	physics	NOUN
ejpam-5619	8	55	,	,	PUNCT
ejpam-5619	8	56	and	and	CCONJ
ejpam-5619	8	57	chemistry	chemistry	NOUN
ejpam-5619	8	58	,	,	PUNCT
ejpam-5619	8	59	serving	serve	VERB
ejpam-5619	8	60	as	as	ADP
ejpam-5619	8	61	essential	essential	ADJ
ejpam-5619	8	62	tools	tool	NOUN
ejpam-5619	8	63	for	for	ADP
ejpam-5619	8	64	understanding	understand	VERB
ejpam-5619	8	65	complex	complex	ADJ
ejpam-5619	8	66	real	real	ADJ
ejpam-5619	8	67	-	-	PUNCT
ejpam-5619	8	68	world	world	NOUN
ejpam-5619	8	69	phenomena	phenomenon	NOUN
ejpam-5619	8	70	.	.	PUNCT
ejpam-5619	9	1	thus	thus	ADV
ejpam-5619	9	2	,	,	PUNCT
ejpam-5619	9	3	mathematicians	mathematician	NOUN
ejpam-5619	9	4	relentlessly	relentlessly	ADV
ejpam-5619	9	5	innovate	innovate	VERB
ejpam-5619	9	6	and	and	CCONJ
ejpam-5619	9	7	develop	develop	VERB
ejpam-5619	9	8	new	new	ADJ
ejpam-5619	9	9	techniques	technique	NOUN
ejpam-5619	9	10	to	to	PART
ejpam-5619	9	11	tackle	tackle	VERB
ejpam-5619	9	12	ever	ever	ADV
ejpam-5619	9	13	-	-	PUNCT
ejpam-5619	9	14	broader	broad	ADJ
ejpam-5619	9	15	classes	class	NOUN
ejpam-5619	9	16	of	of	ADP
ejpam-5619	9	17	differential	differential	ADJ
ejpam-5619	9	18	equations	equation	NOUN
ejpam-5619	9	19	,	,	PUNCT
ejpam-5619	9	20	and	and	CCONJ
ejpam-5619	9	21	one	one	NUM
ejpam-5619	9	22	of	of	ADP
ejpam-5619	9	23	the	the	DET
ejpam-5619	9	24	most	most	ADV
ejpam-5619	9	25	celebrated	celebrated	ADJ
ejpam-5619	9	26	integral	integral	ADJ
ejpam-5619	9	27	transforms	transform	NOUN
ejpam-5619	9	28	is	be	AUX
ejpam-5619	9	29	the	the	DET
ejpam-5619	9	30	laplace	laplace	NOUN
ejpam-5619	9	31	transform	transform	NOUN
ejpam-5619	9	32	,	,	PUNCT
ejpam-5619	9	33	first	first	ADV
ejpam-5619	9	34	introduced	introduce	VERB
ejpam-5619	9	35	in	in	ADP
ejpam-5619	9	36	1780	1780	NUM
ejpam-5619	9	37	.	.	PUNCT
ejpam-5619	10	1	among	among	ADP
ejpam-5619	10	2	the	the	DET
ejpam-5619	10	3	innovative	innovative	ADJ
ejpam-5619	10	4	integral	integral	ADJ
ejpam-5619	10	5	transforms	transform	NOUN
ejpam-5619	10	6	emerging	emerge	VERB
ejpam-5619	10	7	in	in	ADP
ejpam-5619	10	8	recent	recent	ADJ
ejpam-5619	10	9	years	year	NOUN
ejpam-5619	10	10	is	be	AUX
ejpam-5619	10	11	the	the	DET
ejpam-5619	10	12	sawi	sawi	ADJ
ejpam-5619	10	13	transform	transform	NOUN
ejpam-5619	10	14	introduced	introduce	VERB
ejpam-5619	10	15	in	in	ADP
ejpam-5619	10	16	2021	2021	NUM
ejpam-5619	10	17	by	by	ADP
ejpam-5619	10	18	[	[	X
ejpam-5619	10	19	1	1	NUM
ejpam-5619	10	20	]	]	PUNCT
ejpam-5619	10	21	.	.	PUNCT
ejpam-5619	11	1	these	these	PRON
ejpam-5619	11	2	transforms	transform	VERB
ejpam-5619	11	3	offer	offer	VERB
ejpam-5619	11	4	powerful	powerful	ADJ
ejpam-5619	11	5	new	new	ADJ
ejpam-5619	11	6	∗corresponding	∗corresponde	VERB
ejpam-5619	11	7	author	author	NOUN
ejpam-5619	11	8	.	.	PUNCT
ejpam-5619	12	1	doi	doi	NOUN
ejpam-5619	12	2	:	:	PUNCT
ejpam-5619	12	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5619	https://doi.org/10.29020/nybg.ejpam.v18i1.5619	PROPN
ejpam-5619	12	4	email	email	NOUN
ejpam-5619	12	5	addresses	address	NOUN
ejpam-5619	12	6	:	:	PUNCT
ejpam-5619	12	7	monther	monther	NOUN
ejpam-5619	12	8	ok@yahoo.com	ok@yahoo.com	X
ejpam-5619	13	1	m.	m.	PROPN
ejpam-5619	13	2	al	al	PROPN
ejpam-5619	13	3	-	-	PUNCT
ejpam-5619	13	4	momani	momani	NOUN
ejpam-5619	13	5	)	)	PUNCT
ejpam-5619	13	6	,	,	PUNCT
ejpam-5619	13	7	a.jaradat@aau.edu.jo	a.jaradat@aau.edu.jo	PROPN
ejpam-5619	13	8	(	(	PUNCT
ejpam-5619	13	9	a.	a.	NOUN
ejpam-5619	13	10	jaradat	jaradat	PROPN
ejpam-5619	13	11	)	)	PUNCT
ejpam-5619	13	12	,	,	PUNCT
ejpam-5619	14	1	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-5619	14	2	(	(	PUNCT
ejpam-5619	14	3	b.	b.	PROPN
ejpam-5619	14	4	abughazaleh	abughazaleh	PROPN
ejpam-5619	14	5	)	)	PUNCT
ejpam-5619	14	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5619	15	1	1	1	NUM
ejpam-5619	15	2	copyright	copyright	NOUN
ejpam-5619	15	3	:	:	PUNCT
ejpam-5619	15	4	©	©	PROPN
ejpam-5619	15	5	2025	2025	NUM
ejpam-5619	15	6	the	the	DET
ejpam-5619	15	7	author(s	author(s	NOUN
ejpam-5619	15	8	)	)	PUNCT
ejpam-5619	15	9	.	.	PUNCT
ejpam-5619	16	1	(	(	PUNCT
ejpam-5619	16	2	cc	cc	NOUN
ejpam-5619	16	3	by	by	ADP
ejpam-5619	16	4	-	-	PUNCT
ejpam-5619	16	5	nc	nc	PROPN
ejpam-5619	16	6	4.0	4.0	NUM
ejpam-5619	16	7	)	)	PUNCT
ejpam-5619	16	8	m.	m.	NOUN
ejpam-5619	16	9	al	al	PROPN
ejpam-5619	16	10	-	-	PUNCT
ejpam-5619	16	11	momani	momani	PROPN
ejpam-5619	16	12	,	,	PUNCT
ejpam-5619	16	13	a.	a.	NOUN
ejpam-5619	16	14	jaradat	jaradat	PROPN
ejpam-5619	16	15	,	,	PUNCT
ejpam-5619	16	16	b.	b.	PROPN
ejpam-5619	16	17	abughazaleh	abughazaleh	PROPN
ejpam-5619	16	18	/	/	SYM
ejpam-5619	16	19	eur	eur	PROPN
ejpam-5619	16	20	.	.	PUNCT
ejpam-5619	17	1	j.	j.	PROPN
ejpam-5619	17	2	pure	pure	PROPN
ejpam-5619	17	3	appl	appl	PROPN
ejpam-5619	17	4	.	.	PROPN
ejpam-5619	17	5	math	math	PROPN
ejpam-5619	17	6	,	,	PUNCT
ejpam-5619	17	7	18	18	NUM
ejpam-5619	17	8	(	(	PUNCT
ejpam-5619	17	9	1	1	NUM
ejpam-5619	17	10	)	)	PUNCT
ejpam-5619	17	11	(	(	PUNCT
ejpam-5619	17	12	2025	2025	NUM
ejpam-5619	17	13	)	)	PUNCT
ejpam-5619	17	14	,	,	PUNCT
ejpam-5619	17	15	5619	5619	NUM
ejpam-5619	17	16	2	2	NUM
ejpam-5619	17	17	of	of	ADP
ejpam-5619	17	18	19	19	NUM
ejpam-5619	17	19	tools	tool	NOUN
ejpam-5619	17	20	for	for	ADP
ejpam-5619	17	21	tackling	tackle	VERB
ejpam-5619	17	22	both	both	CCONJ
ejpam-5619	17	23	ordinary	ordinary	ADJ
ejpam-5619	17	24	and	and	CCONJ
ejpam-5619	17	25	fractional	fractional	ADJ
ejpam-5619	17	26	differential	differential	ADJ
ejpam-5619	17	27	equations	equation	NOUN
ejpam-5619	17	28	,	,	PUNCT
ejpam-5619	17	29	for	for	ADP
ejpam-5619	17	30	more	more	ADJ
ejpam-5619	17	31	information	information	NOUN
ejpam-5619	17	32	about	about	ADP
ejpam-5619	17	33	the	the	DET
ejpam-5619	17	34	sawi	sawi	PROPN
ejpam-5619	17	35	transform	transform	NOUN
ejpam-5619	17	36	,	,	PUNCT
ejpam-5619	17	37	refer	refer	VERB
ejpam-5619	17	38	to	to	ADP
ejpam-5619	17	39	[	[	X
ejpam-5619	17	40	2	2	NUM
ejpam-5619	17	41	]	]	PUNCT
ejpam-5619	17	42	,	,	PUNCT
ejpam-5619	17	43	and	and	CCONJ
ejpam-5619	17	44	for	for	ADP
ejpam-5619	17	45	more	more	ADJ
ejpam-5619	17	46	details	detail	NOUN
ejpam-5619	17	47	on	on	ADP
ejpam-5619	17	48	other	other	ADJ
ejpam-5619	17	49	single	single	ADJ
ejpam-5619	17	50	transforms	transform	NOUN
ejpam-5619	17	51	,	,	PUNCT
ejpam-5619	17	52	one	one	PRON
ejpam-5619	17	53	may	may	AUX
ejpam-5619	17	54	refer	refer	VERB
ejpam-5619	17	55	to	to	ADP
ejpam-5619	17	56	[	[	X
ejpam-5619	17	57	3–5	3–5	NOUN
ejpam-5619	17	58	]	]	PUNCT
ejpam-5619	17	59	.	.	PUNCT
ejpam-5619	18	1	additionally	additionally	ADV
ejpam-5619	18	2	,	,	PUNCT
ejpam-5619	18	3	some	some	DET
ejpam-5619	18	4	double	double	ADJ
ejpam-5619	18	5	transforms	transform	NOUN
ejpam-5619	18	6	exist	exist	VERB
ejpam-5619	18	7	to	to	PART
ejpam-5619	18	8	handle	handle	VERB
ejpam-5619	18	9	many	many	ADJ
ejpam-5619	18	10	-	-	PUNCT
ejpam-5619	18	11	variable	variable	ADJ
ejpam-5619	18	12	differential	differential	NOUN
ejpam-5619	18	13	equations	equation	NOUN
ejpam-5619	18	14	.	.	PUNCT
ejpam-5619	19	1	in	in	ADP
ejpam-5619	19	2	the	the	DET
ejpam-5619	19	3	wide	wide	ADJ
ejpam-5619	19	4	range	range	NOUN
ejpam-5619	19	5	of	of	ADP
ejpam-5619	19	6	double	double	ADJ
ejpam-5619	19	7	transforms	transform	NOUN
ejpam-5619	19	8	,	,	PUNCT
ejpam-5619	19	9	we	we	PRON
ejpam-5619	19	10	notice	notice	VERB
ejpam-5619	19	11	fresh	fresh	ADJ
ejpam-5619	19	12	methods	method	NOUN
ejpam-5619	19	13	to	to	PART
ejpam-5619	19	14	help	help	VERB
ejpam-5619	19	15	solve	solve	VERB
ejpam-5619	19	16	differential	differential	ADJ
ejpam-5619	19	17	equations	equation	NOUN
ejpam-5619	19	18	in	in	ADP
ejpam-5619	19	19	more	more	ADJ
ejpam-5619	19	20	than	than	ADP
ejpam-5619	19	21	one	one	NUM
ejpam-5619	19	22	dimension	dimension	NOUN
ejpam-5619	19	23	.	.	PUNCT
ejpam-5619	20	1	the	the	DET
ejpam-5619	20	2	double	double	ADJ
ejpam-5619	20	3	laplace	laplace	NOUN
ejpam-5619	20	4	transform	transform	NOUN
ejpam-5619	20	5	[	[	X
ejpam-5619	20	6	6	6	NUM
ejpam-5619	20	7	]	]	PUNCT
ejpam-5619	20	8	,	,	PUNCT
ejpam-5619	20	9	the	the	DET
ejpam-5619	20	10	double	double	ADJ
ejpam-5619	20	11	laplace	laplace	NOUN
ejpam-5619	20	12	-	-	PUNCT
ejpam-5619	20	13	shehu	shehu	NOUN
ejpam-5619	20	14	transform	transform	NOUN
ejpam-5619	20	15	[	[	X
ejpam-5619	20	16	8	8	NUM
ejpam-5619	20	17	]	]	PUNCT
ejpam-5619	20	18	,	,	PUNCT
ejpam-5619	20	19	the	the	DET
ejpam-5619	20	20	double	double	ADJ
ejpam-5619	20	21	laplace	laplace	NOUN
ejpam-5619	20	22	ara	ara	PROPN
ejpam-5619	20	23	transform	transform	NOUN
ejpam-5619	20	24	[	[	X
ejpam-5619	20	25	7	7	NUM
ejpam-5619	20	26	]	]	PUNCT
ejpam-5619	20	27	,	,	PUNCT
ejpam-5619	20	28	the	the	DET
ejpam-5619	20	29	double	double	ADJ
ejpam-5619	20	30	sawi	sawi	ADJ
ejpam-5619	20	31	transform	transform	NOUN
ejpam-5619	20	32	[	[	X
ejpam-5619	20	33	9	9	NUM
ejpam-5619	20	34	]	]	PUNCT
ejpam-5619	20	35	and	and	CCONJ
ejpam-5619	20	36	double	double	ADJ
ejpam-5619	20	37	mellin	mellin	PROPN
ejpam-5619	20	38	-	-	PUNCT
ejpam-5619	20	39	ara	ara	NOUN
ejpam-5619	20	40	transform	transform	NOUN
ejpam-5619	20	41	[	[	X
ejpam-5619	20	42	10	10	NUM
ejpam-5619	20	43	]	]	PUNCT
ejpam-5619	20	44	.	.	PUNCT
ejpam-5619	21	1	in	in	ADP
ejpam-5619	21	2	the	the	DET
ejpam-5619	21	3	present	present	ADJ
ejpam-5619	21	4	work	work	NOUN
ejpam-5619	21	5	,	,	PUNCT
ejpam-5619	21	6	we	we	PRON
ejpam-5619	21	7	propose	propose	VERB
ejpam-5619	21	8	a	a	DET
ejpam-5619	21	9	double	double	ADJ
ejpam-5619	21	10	transform	transform	NOUN
ejpam-5619	21	11	called	call	VERB
ejpam-5619	21	12	the	the	DET
ejpam-5619	21	13	double	double	ADJ
ejpam-5619	21	14	laplace	laplace	NOUN
ejpam-5619	21	15	-	-	PUNCT
ejpam-5619	21	16	sawi	sawi	NOUN
ejpam-5619	21	17	transform	transform	NOUN
ejpam-5619	21	18	(	(	PUNCT
ejpam-5619	21	19	dlswt	dlswt	NOUN
ejpam-5619	21	20	)	)	PUNCT
ejpam-5619	21	21	aimed	aim	VERB
ejpam-5619	21	22	at	at	ADP
ejpam-5619	21	23	globalizing	globalize	VERB
ejpam-5619	21	24	differential	differential	ADJ
ejpam-5619	21	25	equation	equation	NOUN
ejpam-5619	21	26	analysis	analysis	NOUN
ejpam-5619	21	27	.	.	PUNCT
ejpam-5619	22	1	we	we	PRON
ejpam-5619	22	2	go	go	VERB
ejpam-5619	22	3	down	down	ADP
ejpam-5619	22	4	to	to	ADP
ejpam-5619	22	5	its	its	PRON
ejpam-5619	22	6	bedrock	bedrock	NOUN
ejpam-5619	22	7	properties	property	NOUN
ejpam-5619	22	8	characterizing	characterize	VERB
ejpam-5619	22	9	what	what	PRON
ejpam-5619	22	10	is	be	AUX
ejpam-5619	22	11	needed	need	VERB
ejpam-5619	22	12	for	for	SCONJ
ejpam-5619	22	13	it	it	PRON
ejpam-5619	22	14	to	to	PART
ejpam-5619	22	15	exist	exist	VERB
ejpam-5619	22	16	and	and	CCONJ
ejpam-5619	22	17	demonstrating	demonstrate	VERB
ejpam-5619	22	18	their	their	PRON
ejpam-5619	22	19	power	power	NOUN
ejpam-5619	22	20	in	in	ADP
ejpam-5619	22	21	convolution	convolution	NOUN
ejpam-5619	22	22	theory	theory	NOUN
ejpam-5619	22	23	and	and	CCONJ
ejpam-5619	22	24	derivative	derivative	ADJ
ejpam-5619	22	25	operation	operation	NOUN
ejpam-5619	22	26	.	.	PUNCT
ejpam-5619	23	1	applying	apply	VERB
ejpam-5619	23	2	this	this	DET
ejpam-5619	23	3	novel	novel	NOUN
ejpam-5619	23	4	transform	transform	NOUN
ejpam-5619	23	5	method	method	NOUN
ejpam-5619	23	6	,	,	PUNCT
ejpam-5619	23	7	we	we	PRON
ejpam-5619	23	8	identify	identify	VERB
ejpam-5619	23	9	new	new	ADJ
ejpam-5619	23	10	ways	way	NOUN
ejpam-5619	23	11	of	of	ADP
ejpam-5619	23	12	dealing	deal	VERB
ejpam-5619	23	13	with	with	ADP
ejpam-5619	23	14	partial	partial	ADJ
ejpam-5619	23	15	differential	differential	ADJ
ejpam-5619	23	16	equations	equation	NOUN
ejpam-5619	23	17	and	and	CCONJ
ejpam-5619	23	18	integral	integral	ADJ
ejpam-5619	23	19	equations	equation	NOUN
ejpam-5619	23	20	.	.	PUNCT
ejpam-5619	24	1	the	the	DET
ejpam-5619	24	2	novelty	novelty	NOUN
ejpam-5619	24	3	of	of	ADP
ejpam-5619	24	4	this	this	DET
ejpam-5619	24	5	work	work	NOUN
ejpam-5619	24	6	lies	lie	VERB
ejpam-5619	24	7	in	in	ADP
ejpam-5619	24	8	the	the	DET
ejpam-5619	24	9	innovative	innovative	ADJ
ejpam-5619	24	10	combinations	combination	NOUN
ejpam-5619	24	11	of	of	ADP
ejpam-5619	24	12	the	the	DET
ejpam-5619	24	13	laplace	laplace	NOUN
ejpam-5619	24	14	and	and	CCONJ
ejpam-5619	24	15	sawi	sawi	ADJ
ejpam-5619	24	16	transforms	transform	VERB
ejpam-5619	24	17	,	,	PUNCT
ejpam-5619	24	18	creating	create	VERB
ejpam-5619	24	19	a	a	DET
ejpam-5619	24	20	new	new	ADJ
ejpam-5619	24	21	approach	approach	NOUN
ejpam-5619	24	22	that	that	PRON
ejpam-5619	24	23	harnesses	harness	VERB
ejpam-5619	24	24	the	the	DET
ejpam-5619	24	25	strengths	strength	NOUN
ejpam-5619	24	26	of	of	ADP
ejpam-5619	24	27	both	both	PRON
ejpam-5619	24	28	transforms	transform	VERB
ejpam-5619	24	29	.	.	PUNCT
ejpam-5619	25	1	this	this	DET
ejpam-5619	25	2	combination	combination	NOUN
ejpam-5619	25	3	enhances	enhance	VERB
ejpam-5619	25	4	the	the	DET
ejpam-5619	25	5	simplicity	simplicity	NOUN
ejpam-5619	25	6	and	and	CCONJ
ejpam-5619	25	7	applicability	applicability	NOUN
ejpam-5619	25	8	in	in	ADP
ejpam-5619	25	9	addressing	address	VERB
ejpam-5619	25	10	complex	complex	ADJ
ejpam-5619	25	11	mathematical	mathematical	ADJ
ejpam-5619	25	12	problems	problem	NOUN
ejpam-5619	25	13	.	.	PUNCT
ejpam-5619	26	1	2	2	X
ejpam-5619	26	2	.	.	X
ejpam-5619	26	3	laplace	laplace	NOUN
ejpam-5619	26	4	and	and	CCONJ
ejpam-5619	26	5	sawi	sawi	ADJ
ejpam-5619	26	6	transforms	transform	VERB
ejpam-5619	26	7	in	in	ADP
ejpam-5619	26	8	this	this	DET
ejpam-5619	26	9	section	section	NOUN
ejpam-5619	26	10	,	,	PUNCT
ejpam-5619	26	11	we	we	PRON
ejpam-5619	26	12	provide	provide	VERB
ejpam-5619	26	13	an	an	DET
ejpam-5619	26	14	overview	overview	NOUN
ejpam-5619	26	15	and	and	CCONJ
ejpam-5619	26	16	highlight	highlight	VERB
ejpam-5619	26	17	key	key	ADJ
ejpam-5619	26	18	properties	property	NOUN
ejpam-5619	26	19	of	of	ADP
ejpam-5619	26	20	the	the	DET
ejpam-5619	26	21	single	single	ADJ
ejpam-5619	26	22	transforms	transform	NOUN
ejpam-5619	26	23	,	,	PUNCT
ejpam-5619	26	24	namely	namely	ADV
ejpam-5619	26	25	the	the	DET
ejpam-5619	26	26	laplace	laplace	NOUN
ejpam-5619	26	27	and	and	CCONJ
ejpam-5619	26	28	sawi	sawi	ADJ
ejpam-5619	26	29	transforms	transform	VERB
ejpam-5619	26	30	.	.	PUNCT
ejpam-5619	27	1	2.1	2.1	NUM
ejpam-5619	27	2	.	.	PUNCT
ejpam-5619	28	1	laplace	laplace	NOUN
ejpam-5619	28	2	transform	transform	NOUN
ejpam-5619	28	3	definition	definition	NOUN
ejpam-5619	28	4	1	1	NUM
ejpam-5619	28	5	.	.	PUNCT
ejpam-5619	29	1	the	the	DET
ejpam-5619	29	2	laplace	laplace	NOUN
ejpam-5619	29	3	transform	transform	NOUN
ejpam-5619	29	4	of	of	ADP
ejpam-5619	29	5	a	a	DET
ejpam-5619	29	6	continuous	continuous	ADJ
ejpam-5619	29	7	function	function	NOUN
ejpam-5619	29	8	p(η	p(η	NOUN
ejpam-5619	29	9	)	)	PUNCT
ejpam-5619	29	10	on	on	ADP
ejpam-5619	29	11	(	(	PUNCT
ejpam-5619	29	12	0,∞	0,∞	NOUN
ejpam-5619	29	13	)	)	PUNCT
ejpam-5619	29	14	is	be	AUX
ejpam-5619	29	15	defined	define	VERB
ejpam-5619	29	16	as	as	SCONJ
ejpam-5619	29	17	follows	follow	VERB
ejpam-5619	29	18	p	p	PROPN
ejpam-5619	29	19	(	(	PUNCT
ejpam-5619	29	20	δ	δ	NOUN
ejpam-5619	29	21	)	)	PUNCT
ejpam-5619	29	22	=	=	SYM
ejpam-5619	29	23	l(p(η	l(p(η	PROPN
ejpam-5619	29	24	)	)	PUNCT
ejpam-5619	29	25	)	)	PUNCT
ejpam-5619	30	1	=	=	SYM
ejpam-5619	30	2	∞∫	∞∫	PROPN
ejpam-5619	30	3	0	0	NUM
ejpam-5619	30	4	e−δηp(η)dη	e−δηp(η)dη	PROPN
ejpam-5619	30	5	,	,	PUNCT
ejpam-5619	30	6	δ	δ	PROPN
ejpam-5619	30	7	∈	∈	PROPN
ejpam-5619	30	8	c.	c.	NOUN
ejpam-5619	30	9	some	some	DET
ejpam-5619	30	10	basic	basic	ADJ
ejpam-5619	30	11	properties	property	NOUN
ejpam-5619	30	12	of	of	ADP
ejpam-5619	30	13	the	the	DET
ejpam-5619	30	14	laplace	laplace	NOUN
ejpam-5619	30	15	transform	transform	NOUN
ejpam-5619	30	16	are	be	AUX
ejpam-5619	30	17	now	now	ADV
ejpam-5619	30	18	given	give	VERB
ejpam-5619	30	19	.	.	PUNCT
ejpam-5619	31	1	let	let	VERB
ejpam-5619	31	2	p	p	PROPN
ejpam-5619	31	3	(	(	PUNCT
ejpam-5619	31	4	δ	δ	NOUN
ejpam-5619	31	5	)	)	PUNCT
ejpam-5619	31	6	=	=	SYM
ejpam-5619	31	7	l(p(η	l(p(η	PROPN
ejpam-5619	31	8	)	)	PUNCT
ejpam-5619	31	9	)	)	PUNCT
ejpam-5619	31	10	,	,	PUNCT
ejpam-5619	31	11	then	then	ADV
ejpam-5619	31	12	for	for	ADP
ejpam-5619	31	13	nonzero	nonzero	PROPN
ejpam-5619	31	14	constants	constant	NOUN
ejpam-5619	31	15	u	u	PROPN
ejpam-5619	31	16	and	and	CCONJ
ejpam-5619	31	17	v	v	NOUN
ejpam-5619	31	18	,	,	PUNCT
ejpam-5619	31	19	we	we	PRON
ejpam-5619	31	20	have	have	VERB
ejpam-5619	31	21	l(up1(η	l(up1(η	NOUN
ejpam-5619	31	22	)	)	PUNCT
ejpam-5619	32	1	+	+	X
ejpam-5619	32	2	vp2(η	vp2(η	NOUN
ejpam-5619	32	3	)	)	PUNCT
ejpam-5619	32	4	)	)	PUNCT
ejpam-5619	33	1	=	=	SYM
ejpam-5619	33	2	ul(p1(η	ul(p1(η	NOUN
ejpam-5619	33	3	)	)	PUNCT
ejpam-5619	33	4	)	)	PUNCT
ejpam-5619	34	1	+	+	CCONJ
ejpam-5619	34	2	vl(p2(η	vl(p2(η	NOUN
ejpam-5619	34	3	)	)	PUNCT
ejpam-5619	34	4	)	)	PUNCT
ejpam-5619	34	5	,	,	PUNCT
ejpam-5619	34	6	(	(	PUNCT
ejpam-5619	34	7	1	1	X
ejpam-5619	34	8	)	)	PUNCT
ejpam-5619	34	9	where	where	SCONJ
ejpam-5619	34	10	p1(η	p1(η	NOUN
ejpam-5619	34	11	)	)	PUNCT
ejpam-5619	34	12	and	and	CCONJ
ejpam-5619	34	13	p2(η	p2(η	X
ejpam-5619	34	14	)	)	PUNCT
ejpam-5619	34	15	are	be	AUX
ejpam-5619	34	16	continuous	continuous	ADJ
ejpam-5619	34	17	functions	function	NOUN
ejpam-5619	34	18	on	on	ADP
ejpam-5619	34	19	(	(	PUNCT
ejpam-5619	34	20	0,∞	0,∞	NUM
ejpam-5619	34	21	)	)	PUNCT
ejpam-5619	34	22	.	.	PUNCT
ejpam-5619	35	1	l(ηu	l(ηu	NOUN
ejpam-5619	35	2	)	)	PUNCT
ejpam-5619	35	3	=	=	PUNCT
ejpam-5619	35	4	γ(u+	γ(u+	NOUN
ejpam-5619	35	5	1	1	NUM
ejpam-5619	35	6	)	)	PUNCT
ejpam-5619	35	7	δu+1	δu+1	NOUN
ejpam-5619	35	8	,	,	PUNCT
ejpam-5619	35	9	(	(	PUNCT
ejpam-5619	35	10	2	2	X
ejpam-5619	35	11	)	)	PUNCT
ejpam-5619	35	12	l(euη	l(euη	PROPN
ejpam-5619	35	13	)	)	PUNCT
ejpam-5619	35	14	=	=	SYM
ejpam-5619	36	1	1	1	NUM
ejpam-5619	36	2	δ	δ	NOUN
ejpam-5619	36	3	−	−	PROPN
ejpam-5619	36	4	u	u	NOUN
ejpam-5619	36	5	,	,	PUNCT
ejpam-5619	36	6	u	u	PROPN
ejpam-5619	36	7	∈	∈	PROPN
ejpam-5619	36	8	r	r	PROPN
ejpam-5619	36	9	,	,	PUNCT
ejpam-5619	36	10	(	(	PUNCT
ejpam-5619	36	11	3	3	X
ejpam-5619	36	12	)	)	PUNCT
ejpam-5619	36	13	m.	m.	NOUN
ejpam-5619	36	14	al	al	PROPN
ejpam-5619	36	15	-	-	PUNCT
ejpam-5619	36	16	momani	momani	PROPN
ejpam-5619	36	17	,	,	PUNCT
ejpam-5619	36	18	a.	a.	NOUN
ejpam-5619	36	19	jaradat	jaradat	PROPN
ejpam-5619	36	20	,	,	PUNCT
ejpam-5619	36	21	b.	b.	PROPN
ejpam-5619	36	22	abughazaleh	abughazaleh	PROPN
ejpam-5619	36	23	/	/	SYM
ejpam-5619	36	24	eur	eur	PROPN
ejpam-5619	36	25	.	.	PUNCT
ejpam-5619	37	1	j.	j.	PROPN
ejpam-5619	37	2	pure	pure	PROPN
ejpam-5619	37	3	appl	appl	PROPN
ejpam-5619	37	4	.	.	PROPN
ejpam-5619	37	5	math	math	PROPN
ejpam-5619	37	6	,	,	PUNCT
ejpam-5619	37	7	18	18	NUM
ejpam-5619	37	8	(	(	PUNCT
ejpam-5619	37	9	1	1	NUM
ejpam-5619	37	10	)	)	PUNCT
ejpam-5619	37	11	(	(	PUNCT
ejpam-5619	37	12	2025	2025	NUM
ejpam-5619	37	13	)	)	PUNCT
ejpam-5619	37	14	,	,	PUNCT
ejpam-5619	37	15	5619	5619	NUM
ejpam-5619	37	16	3	3	NUM
ejpam-5619	37	17	of	of	ADP
ejpam-5619	37	18	19	19	NUM
ejpam-5619	37	19	l(p′(η	l(p′(η	NOUN
ejpam-5619	37	20	)	)	PUNCT
ejpam-5619	37	21	)	)	PUNCT
ejpam-5619	38	1	=	=	SYM
ejpam-5619	38	2	δp	δp	PRON
ejpam-5619	38	3	(	(	PUNCT
ejpam-5619	38	4	δ)−	δ)−	PROPN
ejpam-5619	38	5	p(0	p(0	PROPN
ejpam-5619	38	6	)	)	PUNCT
ejpam-5619	38	7	,	,	PUNCT
ejpam-5619	38	8	(	(	PUNCT
ejpam-5619	38	9	4	4	X
ejpam-5619	38	10	)	)	PUNCT
ejpam-5619	38	11	l(p′′(η	l(p′′(η	PROPN
ejpam-5619	38	12	)	)	PUNCT
ejpam-5619	38	13	)	)	PUNCT
ejpam-5619	39	1	=	=	PRON
ejpam-5619	39	2	δ2p	δ2p	VERB
ejpam-5619	39	3	(	(	PUNCT
ejpam-5619	39	4	δ)−	δ)−	PROPN
ejpam-5619	39	5	δp(0)−	δp(0)−	NOUN
ejpam-5619	39	6	p′(0	p′(0	NOUN
ejpam-5619	39	7	)	)	PUNCT
ejpam-5619	39	8	.	.	PUNCT
ejpam-5619	40	1	(	(	PUNCT
ejpam-5619	40	2	5	5	NUM
ejpam-5619	40	3	)	)	PUNCT
ejpam-5619	40	4	2.2	2.2	NUM
ejpam-5619	40	5	.	.	PUNCT
ejpam-5619	41	1	the	the	DET
ejpam-5619	41	2	sawi	sawi	ADJ
ejpam-5619	41	3	transform	transform	NOUN
ejpam-5619	41	4	definition	definition	NOUN
ejpam-5619	41	5	2	2	NUM
ejpam-5619	41	6	.	.	PUNCT
ejpam-5619	42	1	the	the	DET
ejpam-5619	42	2	sawi	sawi	ADJ
ejpam-5619	42	3	transform	transform	NOUN
ejpam-5619	42	4	of	of	ADP
ejpam-5619	42	5	a	a	DET
ejpam-5619	42	6	continuous	continuous	ADJ
ejpam-5619	42	7	function	function	NOUN
ejpam-5619	42	8	q(θ	q(θ	NUM
ejpam-5619	42	9	)	)	PUNCT
ejpam-5619	42	10	on	on	ADP
ejpam-5619	42	11	(	(	PUNCT
ejpam-5619	42	12	0,∞	0,∞	NOUN
ejpam-5619	42	13	)	)	PUNCT
ejpam-5619	42	14	expressed	express	VERB
ejpam-5619	42	15	as	as	SCONJ
ejpam-5619	42	16	follows	follow	VERB
ejpam-5619	42	17	q(ϵ	q(ϵ	PROPN
ejpam-5619	42	18	)	)	PUNCT
ejpam-5619	43	1	=	=	SYM
ejpam-5619	43	2	w	w	PROPN
ejpam-5619	43	3	(	(	PUNCT
ejpam-5619	43	4	q(θ	q(θ	PROPN
ejpam-5619	43	5	)	)	PUNCT
ejpam-5619	43	6	)	)	PUNCT
ejpam-5619	43	7	=	=	SYM
ejpam-5619	43	8	1	1	NUM
ejpam-5619	43	9	ϵ2	ϵ2	PROPN
ejpam-5619	43	10	∞∫	∞∫	PROPN
ejpam-5619	43	11	0	0	NUM
ejpam-5619	44	1	e−	e−	PROPN
ejpam-5619	44	2	θ	θ	NOUN
ejpam-5619	45	1	ϵ	ϵ	SYM
ejpam-5619	45	2	q(θ)dθ	q(θ)dθ	NOUN
ejpam-5619	45	3	.	.	PUNCT
ejpam-5619	46	1	let	let	VERB
ejpam-5619	46	2	us	we	PRON
ejpam-5619	46	3	now	now	ADV
ejpam-5619	46	4	explore	explore	VERB
ejpam-5619	46	5	the	the	DET
ejpam-5619	46	6	core	core	NOUN
ejpam-5619	46	7	properties	property	NOUN
ejpam-5619	46	8	that	that	PRON
ejpam-5619	46	9	define	define	VERB
ejpam-5619	46	10	the	the	DET
ejpam-5619	46	11	sawi	sawi	ADJ
ejpam-5619	46	12	transform	transform	NOUN
ejpam-5619	46	13	.	.	PUNCT
ejpam-5619	47	1	suppose	suppose	VERB
ejpam-5619	47	2	that	that	SCONJ
ejpam-5619	47	3	q1(ϵ	q1(ϵ	PROPN
ejpam-5619	47	4	)	)	PUNCT
ejpam-5619	47	5	=	=	SYM
ejpam-5619	47	6	w	w	PROPN
ejpam-5619	47	7	(	(	PUNCT
ejpam-5619	47	8	q1(θ	q1(θ	NOUN
ejpam-5619	47	9	)	)	PUNCT
ejpam-5619	47	10	)	)	PUNCT
ejpam-5619	47	11	and	and	CCONJ
ejpam-5619	47	12	q2(ϵ	q2(ϵ	ADP
ejpam-5619	47	13	)	)	PUNCT
ejpam-5619	47	14	=	=	SYM
ejpam-5619	47	15	w	w	PROPN
ejpam-5619	47	16	(	(	PUNCT
ejpam-5619	47	17	q2(θ)),with	q2(θ)),with	ADP
ejpam-5619	47	18	u	u	NOUN
ejpam-5619	47	19	and	and	CCONJ
ejpam-5619	47	20	v	v	NOUN
ejpam-5619	47	21	as	as	ADP
ejpam-5619	47	22	nonzero	nonzero	ADJ
ejpam-5619	47	23	real	real	ADJ
ejpam-5619	47	24	numbers	number	NOUN
ejpam-5619	47	25	,	,	PUNCT
ejpam-5619	47	26	the	the	DET
ejpam-5619	47	27	following	follow	VERB
ejpam-5619	47	28	properties	property	NOUN
ejpam-5619	47	29	hold	hold	VERB
ejpam-5619	47	30	w	w	ADP
ejpam-5619	47	31	(	(	PUNCT
ejpam-5619	47	32	uq1(θ	uq1(θ	PROPN
ejpam-5619	47	33	)	)	PUNCT
ejpam-5619	47	34	+	+	X
ejpam-5619	47	35	vq2(θ	vq2(θ	ADJ
ejpam-5619	47	36	)	)	PUNCT
ejpam-5619	47	37	)	)	PUNCT
ejpam-5619	48	1	=	=	SYM
ejpam-5619	48	2	uw	uw	PROPN
ejpam-5619	48	3	(	(	PUNCT
ejpam-5619	48	4	q1(θ	q1(θ	PROPN
ejpam-5619	48	5	)	)	PUNCT
ejpam-5619	48	6	)	)	PUNCT
ejpam-5619	49	1	+	+	CCONJ
ejpam-5619	49	2	vw	vw	PROPN
ejpam-5619	49	3	(	(	PUNCT
ejpam-5619	49	4	q2(θ	q2(θ	NOUN
ejpam-5619	49	5	)	)	PUNCT
ejpam-5619	49	6	)	)	PUNCT
ejpam-5619	49	7	,	,	PUNCT
ejpam-5619	49	8	(	(	PUNCT
ejpam-5619	49	9	6	6	NUM
ejpam-5619	49	10	)	)	PUNCT
ejpam-5619	49	11	w	w	NOUN
ejpam-5619	49	12	(	(	PUNCT
ejpam-5619	49	13	θu	θu	NOUN
ejpam-5619	49	14	)	)	PUNCT
ejpam-5619	49	15	=	=	SYM
ejpam-5619	49	16	γ(u+	γ(u+	PROPN
ejpam-5619	49	17	1)ϵu−1	1)ϵu−1	NUM
ejpam-5619	49	18	,	,	PUNCT
ejpam-5619	49	19	(	(	PUNCT
ejpam-5619	49	20	7	7	X
ejpam-5619	49	21	)	)	PUNCT
ejpam-5619	49	22	w	w	NOUN
ejpam-5619	49	23	(	(	PUNCT
ejpam-5619	49	24	evθ	evθ	PROPN
ejpam-5619	49	25	)	)	PUNCT
ejpam-5619	49	26	=	=	SYM
ejpam-5619	49	27	1	1	NUM
ejpam-5619	49	28	ϵ	ϵ	X
ejpam-5619	49	29	(	(	PUNCT
ejpam-5619	49	30	1−	1−	NUM
ejpam-5619	49	31	vϵ	vϵ	ADJ
ejpam-5619	49	32	)	)	PUNCT
ejpam-5619	49	33	,	,	PUNCT
ejpam-5619	49	34	(	(	PUNCT
ejpam-5619	49	35	8)	8)	NUM
ejpam-5619	49	36	w	w	NOUN
ejpam-5619	49	37	(	(	PUNCT
ejpam-5619	49	38	q′(θ	q′(θ	NOUN
ejpam-5619	49	39	)	)	PUNCT
ejpam-5619	49	40	)	)	PUNCT
ejpam-5619	49	41	=	=	SYM
ejpam-5619	49	42	1	1	NUM
ejpam-5619	49	43	ϵ	ϵ	X
ejpam-5619	49	44	q(ϵ)−	q(ϵ)−	NOUN
ejpam-5619	49	45	1	1	NUM
ejpam-5619	49	46	ϵ2	ϵ2	PROPN
ejpam-5619	49	47	q(0	q(0	PROPN
ejpam-5619	49	48	)	)	PUNCT
ejpam-5619	49	49	,	,	PUNCT
ejpam-5619	49	50	(	(	PUNCT
ejpam-5619	49	51	9	9	X
ejpam-5619	49	52	)	)	PUNCT
ejpam-5619	49	53	w	w	NOUN
ejpam-5619	49	54	(	(	PUNCT
ejpam-5619	49	55	q′′(θ	q′′(θ	NOUN
ejpam-5619	49	56	)	)	PUNCT
ejpam-5619	49	57	)	)	PUNCT
ejpam-5619	50	1	=	=	SYM
ejpam-5619	50	2	1	1	NUM
ejpam-5619	50	3	ϵ2	ϵ2	ADJ
ejpam-5619	50	4	q(ϵ)−	q(ϵ)−	NOUN
ejpam-5619	50	5	1	1	NUM
ejpam-5619	50	6	ϵ3	ϵ3	NUM
ejpam-5619	50	7	q(0)−	q(0)−	NOUN
ejpam-5619	50	8	1	1	NUM
ejpam-5619	50	9	ϵ2	ϵ2	PROPN
ejpam-5619	50	10	q′(0	q′(0	PROPN
ejpam-5619	50	11	)	)	PUNCT
ejpam-5619	50	12	.	.	PUNCT
ejpam-5619	51	1	(	(	PUNCT
ejpam-5619	51	2	10	10	NUM
ejpam-5619	51	3	)	)	PUNCT
ejpam-5619	51	4	3	3	NUM
ejpam-5619	51	5	.	.	NOUN
ejpam-5619	51	6	double	double	ADJ
ejpam-5619	51	7	laplace	laplace	NOUN
ejpam-5619	51	8	-	-	PUNCT
ejpam-5619	51	9	sawi	sawi	NOUN
ejpam-5619	51	10	transform	transform	NOUN
ejpam-5619	51	11	this	this	DET
ejpam-5619	51	12	section	section	NOUN
ejpam-5619	51	13	announces	announce	VERB
ejpam-5619	51	14	the	the	DET
ejpam-5619	51	15	double	double	ADJ
ejpam-5619	51	16	laplace	laplace	NOUN
ejpam-5619	51	17	-	-	PUNCT
ejpam-5619	51	18	sawi	sawi	ADJ
ejpam-5619	51	19	transformation	transformation	NOUN
ejpam-5619	51	20	(	(	PUNCT
ejpam-5619	51	21	dlswt	dlswt	NOUN
ejpam-5619	51	22	)	)	PUNCT
ejpam-5619	51	23	.	.	PUNCT
ejpam-5619	52	1	we	we	PRON
ejpam-5619	52	2	start	start	VERB
ejpam-5619	52	3	by	by	ADP
ejpam-5619	52	4	stating	state	VERB
ejpam-5619	52	5	the	the	DET
ejpam-5619	52	6	basic	basic	ADJ
ejpam-5619	52	7	properties	property	NOUN
ejpam-5619	52	8	of	of	ADP
ejpam-5619	52	9	the	the	DET
ejpam-5619	52	10	dlswt	dlswt	NOUN
ejpam-5619	52	11	,	,	PUNCT
ejpam-5619	52	12	such	such	ADJ
ejpam-5619	52	13	as	as	ADP
ejpam-5619	52	14	linearity	linearity	NOUN
ejpam-5619	52	15	and	and	CCONJ
ejpam-5619	52	16	inversion	inversion	NOUN
ejpam-5619	52	17	.	.	PUNCT
ejpam-5619	53	1	then	then	ADV
ejpam-5619	53	2	we	we	PRON
ejpam-5619	53	3	state	state	VERB
ejpam-5619	53	4	a	a	DET
ejpam-5619	53	5	new	new	ADJ
ejpam-5619	53	6	result	result	NOUN
ejpam-5619	53	7	regarding	regard	VERB
ejpam-5619	53	8	the	the	DET
ejpam-5619	53	9	partial	partial	ADJ
ejpam-5619	53	10	derivatives	derivative	NOUN
ejpam-5619	53	11	and	and	CCONJ
ejpam-5619	53	12	another	another	DET
ejpam-5619	53	13	new	new	ADJ
ejpam-5619	53	14	result	result	NOUN
ejpam-5619	53	15	regarding	regard	VERB
ejpam-5619	53	16	the	the	DET
ejpam-5619	53	17	convolution	convolution	NOUN
ejpam-5619	53	18	theorem	theorem	VERB
ejpam-5619	53	19	.	.	PUNCT
ejpam-5619	54	1	we	we	PRON
ejpam-5619	54	2	also	also	ADV
ejpam-5619	54	3	state	state	VERB
ejpam-5619	54	4	how	how	SCONJ
ejpam-5619	54	5	we	we	PRON
ejpam-5619	54	6	use	use	VERB
ejpam-5619	54	7	these	these	DET
ejpam-5619	54	8	results	result	NOUN
ejpam-5619	54	9	to	to	PART
ejpam-5619	54	10	compute	compute	VERB
ejpam-5619	54	11	the	the	DET
ejpam-5619	54	12	dlswt	dlswt	NOUN
ejpam-5619	54	13	of	of	ADP
ejpam-5619	54	14	some	some	DET
ejpam-5619	54	15	basic	basic	ADJ
ejpam-5619	54	16	functions	function	NOUN
ejpam-5619	54	17	.	.	PUNCT
ejpam-5619	55	1	the	the	DET
ejpam-5619	55	2	definition	definition	NOUN
ejpam-5619	55	3	of	of	ADP
ejpam-5619	55	4	the	the	DET
ejpam-5619	55	5	dlswt	dlswt	NOUN
ejpam-5619	55	6	is	be	AUX
ejpam-5619	55	7	:	:	PUNCT
ejpam-5619	55	8	g(δ	g(δ	PROPN
ejpam-5619	55	9	,	,	PUNCT
ejpam-5619	55	10	ϵ	ϵ	X
ejpam-5619	55	11	)	)	PUNCT
ejpam-5619	55	12	=	=	SYM
ejpam-5619	55	13	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	55	14	,	,	PUNCT
ejpam-5619	55	15	θ	θ	NOUN
ejpam-5619	55	16	)	)	PUNCT
ejpam-5619	55	17	)	)	PUNCT
ejpam-5619	56	1	=	=	SYM
ejpam-5619	56	2	1	1	NUM
ejpam-5619	56	3	ϵ2	ϵ2	PROPN
ejpam-5619	56	4	∞∫	∞∫	PROPN
ejpam-5619	56	5	0	0	NUM
ejpam-5619	57	1	∞∫	∞∫	PROPN
ejpam-5619	57	2	0	0	NUM
ejpam-5619	58	1	e−δη−	e−δη−	PROPN
ejpam-5619	58	2	θ	θ	PROPN
ejpam-5619	58	3	ϵ	ϵ	X
ejpam-5619	58	4	g(η	g(η	PROPN
ejpam-5619	58	5	,	,	PUNCT
ejpam-5619	58	6	θ	θ	NOUN
ejpam-5619	58	7	)	)	PUNCT
ejpam-5619	58	8	dηdθ	dηdθ	NOUN
ejpam-5619	58	9	,	,	PUNCT
ejpam-5619	58	10	(	(	PUNCT
ejpam-5619	58	11	11	11	NUM
ejpam-5619	58	12	)	)	PUNCT
ejpam-5619	58	13	where	where	SCONJ
ejpam-5619	58	14	g(η	g(η	PROPN
ejpam-5619	58	15	,	,	PUNCT
ejpam-5619	58	16	θ	θ	PROPN
ejpam-5619	58	17	)	)	PUNCT
ejpam-5619	58	18	is	be	AUX
ejpam-5619	58	19	a	a	DET
ejpam-5619	58	20	continuous	continuous	ADJ
ejpam-5619	58	21	function	function	NOUN
ejpam-5619	58	22	on	on	ADP
ejpam-5619	58	23	(	(	PUNCT
ejpam-5619	58	24	0,∞)×	0,∞)×	NUM
ejpam-5619	58	25	(	(	PUNCT
ejpam-5619	58	26	0,∞	0,∞	NUM
ejpam-5619	58	27	)	)	PUNCT
ejpam-5619	58	28	.	.	PUNCT
ejpam-5619	59	1	m.	m.	PROPN
ejpam-5619	59	2	al	al	PROPN
ejpam-5619	59	3	-	-	PUNCT
ejpam-5619	59	4	momani	momani	PROPN
ejpam-5619	59	5	,	,	PUNCT
ejpam-5619	59	6	a.	a.	NOUN
ejpam-5619	59	7	jaradat	jaradat	PROPN
ejpam-5619	59	8	,	,	PUNCT
ejpam-5619	59	9	b.	b.	PROPN
ejpam-5619	59	10	abughazaleh	abughazaleh	PROPN
ejpam-5619	59	11	/	/	SYM
ejpam-5619	59	12	eur	eur	PROPN
ejpam-5619	59	13	.	.	PUNCT
ejpam-5619	60	1	j.	j.	PROPN
ejpam-5619	60	2	pure	pure	PROPN
ejpam-5619	60	3	appl	appl	PROPN
ejpam-5619	60	4	.	.	PROPN
ejpam-5619	60	5	math	math	PROPN
ejpam-5619	60	6	,	,	PUNCT
ejpam-5619	60	7	18	18	NUM
ejpam-5619	60	8	(	(	PUNCT
ejpam-5619	60	9	1	1	NUM
ejpam-5619	60	10	)	)	PUNCT
ejpam-5619	60	11	(	(	PUNCT
ejpam-5619	60	12	2025	2025	NUM
ejpam-5619	60	13	)	)	PUNCT
ejpam-5619	60	14	,	,	PUNCT
ejpam-5619	60	15	5619	5619	NUM
ejpam-5619	60	16	4	4	NUM
ejpam-5619	60	17	of	of	ADP
ejpam-5619	60	18	19	19	NUM
ejpam-5619	60	19	clearly	clearly	ADV
ejpam-5619	60	20	,	,	PUNCT
ejpam-5619	60	21	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	60	22	,	,	PUNCT
ejpam-5619	60	23	θ	θ	NOUN
ejpam-5619	60	24	)	)	PUNCT
ejpam-5619	60	25	)	)	PUNCT
ejpam-5619	60	26	is	be	AUX
ejpam-5619	60	27	linear	linear	ADJ
ejpam-5619	60	28	transformation	transformation	NOUN
ejpam-5619	60	29	.	.	PUNCT
ejpam-5619	61	1	in	in	ADP
ejpam-5619	61	2	fact	fact	NOUN
ejpam-5619	61	3	,	,	PUNCT
ejpam-5619	61	4	for	for	ADP
ejpam-5619	61	5	nonzero	nonzero	PROPN
ejpam-5619	61	6	constants	constant	NOUN
ejpam-5619	61	7	u	u	PROPN
ejpam-5619	61	8	and	and	CCONJ
ejpam-5619	61	9	v	v	NOUN
ejpam-5619	61	10	,	,	PUNCT
ejpam-5619	61	11	we	we	PRON
ejpam-5619	61	12	have	have	VERB
ejpam-5619	61	13	lηwθ(ug1(η	lηwθ(ug1(η	NOUN
ejpam-5619	61	14	,	,	PUNCT
ejpam-5619	61	15	θ)+vg2(η	θ)+vg2(η	NOUN
ejpam-5619	61	16	,	,	PUNCT
ejpam-5619	61	17	θ	θ	NOUN
ejpam-5619	61	18	)	)	PUNCT
ejpam-5619	61	19	)	)	PUNCT
ejpam-5619	62	1	=	=	SYM
ejpam-5619	62	2	1	1	NUM
ejpam-5619	62	3	ϵ2	ϵ2	PROPN
ejpam-5619	62	4	∞∫	∞∫	PROPN
ejpam-5619	62	5	0	0	NUM
ejpam-5619	63	1	∞∫	∞∫	PROPN
ejpam-5619	63	2	0	0	NUM
ejpam-5619	64	1	e−δη−	e−δη−	PROPN
ejpam-5619	64	2	θ	θ	PROPN
ejpam-5619	64	3	ϵ	ϵ	X
ejpam-5619	64	4	(	(	PUNCT
ejpam-5619	64	5	ug1(η	ug1(η	PROPN
ejpam-5619	64	6	,	,	PUNCT
ejpam-5619	64	7	θ	θ	NOUN
ejpam-5619	64	8	)	)	PUNCT
ejpam-5619	64	9	+	+	X
ejpam-5619	64	10	vg2(η	vg2(η	ADJ
ejpam-5619	64	11	,	,	PUNCT
ejpam-5619	64	12	θ	θ	NOUN
ejpam-5619	64	13	)	)	PUNCT
ejpam-5619	64	14	)	)	PUNCT
ejpam-5619	64	15	dηdθ	dηdθ	NOUN
ejpam-5619	64	16	=	=	SYM
ejpam-5619	64	17	u	u	PROPN
ejpam-5619	64	18	1	1	NUM
ejpam-5619	64	19	ϵ2	ϵ2	PROPN
ejpam-5619	64	20	∞∫	∞∫	PROPN
ejpam-5619	64	21	0	0	NUM
ejpam-5619	65	1	∞∫	∞∫	PROPN
ejpam-5619	65	2	0	0	NUM
ejpam-5619	66	1	e−δη−	e−δη−	PROPN
ejpam-5619	66	2	θ	θ	PROPN
ejpam-5619	66	3	ϵ	ϵ	SYM
ejpam-5619	66	4	g1(η	g1(η	PROPN
ejpam-5619	66	5	,	,	PUNCT
ejpam-5619	66	6	θ	θ	NOUN
ejpam-5619	66	7	)	)	PUNCT
ejpam-5619	66	8	dηdθ	dηdθ	NOUN
ejpam-5619	66	9	+	+	CCONJ
ejpam-5619	66	10	v	v	NUM
ejpam-5619	66	11	1	1	NUM
ejpam-5619	66	12	ϵ2	ϵ2	PROPN
ejpam-5619	66	13	∞∫	∞∫	PROPN
ejpam-5619	66	14	0	0	NUM
ejpam-5619	67	1	∞∫	∞∫	PROPN
ejpam-5619	67	2	0	0	NUM
ejpam-5619	68	1	e−δη−	e−δη−	PROPN
ejpam-5619	68	2	θ	θ	PROPN
ejpam-5619	68	3	ϵ	ϵ	SYM
ejpam-5619	68	4	g2(η	g2(η	PROPN
ejpam-5619	68	5	,	,	PUNCT
ejpam-5619	68	6	θ	θ	NOUN
ejpam-5619	68	7	)	)	PUNCT
ejpam-5619	68	8	dηdθ	dηdθ	NOUN
ejpam-5619	68	9	=	=	SYM
ejpam-5619	68	10	ulηwθ(g1(η	ulηwθ(g1(η	PROPN
ejpam-5619	68	11	,	,	PUNCT
ejpam-5619	68	12	θ	θ	NOUN
ejpam-5619	68	13	)	)	PUNCT
ejpam-5619	68	14	)	)	PUNCT
ejpam-5619	69	1	+	+	CCONJ
ejpam-5619	69	2	vlηwθ(g2(η	vlηwθ(g2(η	PROPN
ejpam-5619	69	3	,	,	PUNCT
ejpam-5619	69	4	θ	θ	NOUN
ejpam-5619	69	5	)	)	PUNCT
ejpam-5619	69	6	)	)	PUNCT
ejpam-5619	69	7	.	.	PUNCT
ejpam-5619	70	1	if	if	SCONJ
ejpam-5619	70	2	g(η	g(η	PROPN
ejpam-5619	70	3	,	,	PUNCT
ejpam-5619	70	4	θ	θ	PROPN
ejpam-5619	70	5	)	)	PUNCT
ejpam-5619	70	6	can	can	AUX
ejpam-5619	70	7	be	be	AUX
ejpam-5619	70	8	written	write	VERB
ejpam-5619	70	9	as	as	ADP
ejpam-5619	70	10	g(η	g(η	PROPN
ejpam-5619	70	11	,	,	PUNCT
ejpam-5619	70	12	θ	θ	NOUN
ejpam-5619	70	13	)	)	PUNCT
ejpam-5619	70	14	=	=	PUNCT
ejpam-5619	70	15	p(η)q(θ	p(η)q(θ	NOUN
ejpam-5619	70	16	)	)	PUNCT
ejpam-5619	70	17	for	for	ADP
ejpam-5619	70	18	some	some	DET
ejpam-5619	70	19	continuous	continuous	ADJ
ejpam-5619	70	20	functions	function	NOUN
ejpam-5619	70	21	p	p	NOUN
ejpam-5619	70	22	and	and	CCONJ
ejpam-5619	70	23	q	q	NOUN
ejpam-5619	70	24	,	,	PUNCT
ejpam-5619	70	25	then	then	ADV
ejpam-5619	70	26	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	70	27	,	,	PUNCT
ejpam-5619	70	28	θ	θ	NOUN
ejpam-5619	70	29	)	)	PUNCT
ejpam-5619	70	30	)	)	PUNCT
ejpam-5619	71	1	=	=	SYM
ejpam-5619	71	2	l(p(η))w	l(p(η))w	NOUN
ejpam-5619	71	3	(	(	PUNCT
ejpam-5619	71	4	q(θ	q(θ	NUM
ejpam-5619	71	5	)	)	PUNCT
ejpam-5619	71	6	)	)	PUNCT
ejpam-5619	71	7	.	.	PUNCT
ejpam-5619	72	1	in	in	ADP
ejpam-5619	72	2	fact	fact	NOUN
ejpam-5619	72	3	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	72	4	,	,	PUNCT
ejpam-5619	72	5	θ	θ	NOUN
ejpam-5619	72	6	)	)	PUNCT
ejpam-5619	72	7	)	)	PUNCT
ejpam-5619	72	8	=	=	SYM
ejpam-5619	72	9	lηwθ(p(η)q(θ	lηwθ(p(η)q(θ	PROPN
ejpam-5619	72	10	)	)	PUNCT
ejpam-5619	72	11	)	)	PUNCT
ejpam-5619	73	1	=	=	SYM
ejpam-5619	73	2	1	1	NUM
ejpam-5619	73	3	ϵ2	ϵ2	PROPN
ejpam-5619	73	4	∞∫	∞∫	PROPN
ejpam-5619	73	5	0	0	NUM
ejpam-5619	74	1	∞∫	∞∫	PROPN
ejpam-5619	74	2	0	0	NUM
ejpam-5619	75	1	e−δη−	e−δη−	PROPN
ejpam-5619	75	2	θ	θ	PROPN
ejpam-5619	75	3	ϵ	ϵ	ADP
ejpam-5619	75	4	p(η)q(θ)dηdθ	p(η)q(θ)dηdθ	NOUN
ejpam-5619	75	5	=	=	PUNCT
ejpam-5619	75	6	∞∫	∞∫	NOUN
ejpam-5619	75	7	0	0	PUNCT
ejpam-5619	75	8	e−δηp(η)dη	e−δηp(η)dη	PROPN
ejpam-5619	75	9			PUNCT
ejpam-5619	75	10	1	1	NUM
ejpam-5619	75	11	ϵ2	ϵ2	PROPN
ejpam-5619	75	12	∞∫	∞∫	PROPN
ejpam-5619	75	13	0	0	NUM
ejpam-5619	76	1	e−	e−	PROPN
ejpam-5619	76	2	θ	θ	PROPN
ejpam-5619	76	3	ϵ	ϵ	PUNCT
ejpam-5619	76	4	q(θ)dθ	q(θ)dθ	NUM
ejpam-5619	76	5			PROPN
ejpam-5619	76	6	=	=	SYM
ejpam-5619	76	7	l(p(η))w	l(p(η))w	NOUN
ejpam-5619	76	8	(	(	PUNCT
ejpam-5619	76	9	q(θ	q(θ	NUM
ejpam-5619	76	10	)	)	PUNCT
ejpam-5619	76	11	)	)	PUNCT
ejpam-5619	76	12	.	.	PUNCT
ejpam-5619	77	1	3.1	3.1	NUM
ejpam-5619	77	2	.	.	X
ejpam-5619	77	3	double	double	ADJ
ejpam-5619	77	4	laplace	laplace	NOUN
ejpam-5619	77	5	-	-	PUNCT
ejpam-5619	77	6	sawi	sawi	VERB
ejpam-5619	77	7	transform	transform	NOUN
ejpam-5619	77	8	for	for	ADP
ejpam-5619	77	9	some	some	DET
ejpam-5619	77	10	basic	basic	ADJ
ejpam-5619	77	11	functions	function	NOUN
ejpam-5619	77	12	(	(	PUNCT
ejpam-5619	77	13	i	i	NOUN
ejpam-5619	77	14	)	)	PUNCT
ejpam-5619	77	15	lηwθ(1	lηwθ(1	PROPN
ejpam-5619	77	16	)	)	PUNCT
ejpam-5619	77	17	=	=	SYM
ejpam-5619	77	18	1	1	NUM
ejpam-5619	77	19	ϵ2	ϵ2	PROPN
ejpam-5619	77	20	∞∫	∞∫	PROPN
ejpam-5619	77	21	0	0	NUM
ejpam-5619	78	1	∞∫	∞∫	PROPN
ejpam-5619	78	2	0	0	NUM
ejpam-5619	79	1	e−δη−	e−δη−	PROPN
ejpam-5619	79	2	θ	θ	X
ejpam-5619	79	3	ϵ	ϵ	X
ejpam-5619	79	4	dηdθ	dηdθ	NOUN
ejpam-5619	79	5	=	=	PUNCT
ejpam-5619	79	6	∞∫	∞∫	NOUN
ejpam-5619	79	7	0	0	PUNCT
ejpam-5619	80	1	e−δηdη	e−δηdη	SYM
ejpam-5619	80	2			PROPN
ejpam-5619	80	3	1	1	NUM
ejpam-5619	80	4	ϵ2	ϵ2	PROPN
ejpam-5619	80	5	∞∫	∞∫	PROPN
ejpam-5619	80	6	0	0	NUM
ejpam-5619	81	1	e−	e−	PROPN
ejpam-5619	81	2	θ	θ	PROPN
ejpam-5619	82	1	ϵ	ϵ	X
ejpam-5619	82	2	dθ	dθ	PROPN
ejpam-5619	82	3			PROPN
ejpam-5619	82	4	=	=	SYM
ejpam-5619	82	5	1	1	NUM
ejpam-5619	82	6	δ	δ	NOUN
ejpam-5619	82	7	×	×	NOUN
ejpam-5619	82	8	1	1	NUM
ejpam-5619	82	9	ϵ	ϵ	NOUN
ejpam-5619	82	10	=	=	SYM
ejpam-5619	82	11	1	1	NUM
ejpam-5619	82	12	δϵ	δϵ	NOUN
ejpam-5619	82	13	,	,	PUNCT
ejpam-5619	82	14	re(δ	re(δ	NOUN
ejpam-5619	82	15	)	)	PUNCT
ejpam-5619	82	16	>	>	X
ejpam-5619	82	17	0	0	X
ejpam-5619	82	18	.	.	PUNCT
ejpam-5619	82	19	(	(	PUNCT
ejpam-5619	82	20	ii	ii	NOUN
ejpam-5619	82	21	)	)	PUNCT
ejpam-5619	82	22	lηwθ(η	lηwθ(η	X
ejpam-5619	82	23	uθv	uθv	NOUN
ejpam-5619	82	24	)	)	PUNCT
ejpam-5619	82	25	=	=	SYM
ejpam-5619	82	26	1	1	NUM
ejpam-5619	82	27	ϵ2	ϵ2	PROPN
ejpam-5619	82	28	∞∫	∞∫	PROPN
ejpam-5619	82	29	0	0	NUM
ejpam-5619	83	1	∞∫	∞∫	PROPN
ejpam-5619	83	2	0	0	NUM
ejpam-5619	84	1	e−δη−	e−δη−	PROPN
ejpam-5619	84	2	θ	θ	PROPN
ejpam-5619	84	3	ϵ	ϵ	X
ejpam-5619	84	4	ηuθvdηdθ	ηuθvdηdθ	NOUN
ejpam-5619	84	5	=	=	PUNCT
ejpam-5619	84	6	∞∫	∞∫	NOUN
ejpam-5619	84	7	0	0	PUNCT
ejpam-5619	84	8	ηue−δηdη	ηue−δηdη	PUNCT
ejpam-5619	84	9			PROPN
ejpam-5619	84	10	1	1	NUM
ejpam-5619	84	11	ϵ2	ϵ2	PROPN
ejpam-5619	84	12	∞∫	∞∫	PROPN
ejpam-5619	84	13	0	0	PUNCT
ejpam-5619	84	14	θve−	θve−	PROPN
ejpam-5619	84	15	θ	θ	PROPN
ejpam-5619	84	16	ϵ	ϵ	X
ejpam-5619	84	17	dθ	dθ	PROPN
ejpam-5619	84	18			PROPN
ejpam-5619	84	19	m.	m.	NOUN
ejpam-5619	84	20	al	al	PROPN
ejpam-5619	84	21	-	-	PUNCT
ejpam-5619	84	22	momani	momani	PROPN
ejpam-5619	84	23	,	,	PUNCT
ejpam-5619	84	24	a.	a.	NOUN
ejpam-5619	84	25	jaradat	jaradat	PROPN
ejpam-5619	84	26	,	,	PUNCT
ejpam-5619	84	27	b.	b.	PROPN
ejpam-5619	84	28	abughazaleh	abughazaleh	PROPN
ejpam-5619	84	29	/	/	SYM
ejpam-5619	84	30	eur	eur	PROPN
ejpam-5619	84	31	.	.	PUNCT
ejpam-5619	85	1	j.	j.	PROPN
ejpam-5619	85	2	pure	pure	PROPN
ejpam-5619	85	3	appl	appl	PROPN
ejpam-5619	85	4	.	.	PROPN
ejpam-5619	85	5	math	math	PROPN
ejpam-5619	85	6	,	,	PUNCT
ejpam-5619	85	7	18	18	NUM
ejpam-5619	85	8	(	(	PUNCT
ejpam-5619	85	9	1	1	NUM
ejpam-5619	85	10	)	)	PUNCT
ejpam-5619	85	11	(	(	PUNCT
ejpam-5619	85	12	2025	2025	NUM
ejpam-5619	85	13	)	)	PUNCT
ejpam-5619	85	14	,	,	PUNCT
ejpam-5619	85	15	5619	5619	NUM
ejpam-5619	85	16	5	5	NUM
ejpam-5619	85	17	of	of	ADP
ejpam-5619	85	18	19	19	NUM
ejpam-5619	85	19	=	=	SYM
ejpam-5619	85	20	γ(u+	γ(u+	NOUN
ejpam-5619	85	21	1	1	NUM
ejpam-5619	85	22	)	)	PUNCT
ejpam-5619	85	23	δu+1	δu+1	NUM
ejpam-5619	85	24	×	×	NOUN
ejpam-5619	85	25	γ(v	γ(v	NOUN
ejpam-5619	85	26	+	+	CCONJ
ejpam-5619	85	27	1)ϵv−1	1)ϵv−1	NUM
ejpam-5619	85	28	=	=	SYM
ejpam-5619	86	1	ϵv−1	ϵv−1	NOUN
ejpam-5619	86	2	δu+1	δu+1	NUM
ejpam-5619	86	3	γ(u+	γ(u+	PROPN
ejpam-5619	86	4	1)γ(v	1)γ(v	NUM
ejpam-5619	86	5	+	+	CCONJ
ejpam-5619	86	6	1	1	NUM
ejpam-5619	86	7	)	)	PUNCT
ejpam-5619	86	8	,	,	PUNCT
ejpam-5619	86	9	re(δ	re(δ	NOUN
ejpam-5619	86	10	)	)	PUNCT
ejpam-5619	86	11	>	>	X
ejpam-5619	86	12	0	0	PUNCT
ejpam-5619	86	13	and	and	CCONJ
ejpam-5619	86	14	re(u	re(u	NOUN
ejpam-5619	86	15	)	)	PUNCT
ejpam-5619	86	16	>	>	X
ejpam-5619	87	1	−1	−1	NOUN
ejpam-5619	87	2	.	.	PUNCT
ejpam-5619	88	1	(	(	PUNCT
ejpam-5619	88	2	iii	iii	X
ejpam-5619	88	3	)	)	PUNCT
ejpam-5619	88	4	lηwθ(e	lηwθ(e	NOUN
ejpam-5619	88	5	uη+vθ	uη+vθ	NOUN
ejpam-5619	88	6	)	)	PUNCT
ejpam-5619	88	7	=	=	SYM
ejpam-5619	88	8	1	1	NUM
ejpam-5619	88	9	ϵ2	ϵ2	PROPN
ejpam-5619	88	10	∞∫	∞∫	PROPN
ejpam-5619	88	11	0	0	NUM
ejpam-5619	89	1	∞∫	∞∫	PROPN
ejpam-5619	89	2	0	0	NUM
ejpam-5619	90	1	e−δη−	e−δη−	PROPN
ejpam-5619	90	2	θ	θ	X
ejpam-5619	90	3	ϵ	ϵ	X
ejpam-5619	90	4	euη+vθdηdθ	euη+vθdηdθ	NOUN
ejpam-5619	90	5	=	=	SYM
ejpam-5619	90	6	∞∫	∞∫	NOUN
ejpam-5619	90	7	0	0	PUNCT
ejpam-5619	91	1	euη−δηdη	euη−δηdη	ADJ
ejpam-5619	91	2			PUNCT
ejpam-5619	91	3	1	1	NUM
ejpam-5619	91	4	ϵ2	ϵ2	PROPN
ejpam-5619	91	5	∞∫	∞∫	PROPN
ejpam-5619	91	6	0	0	PUNCT
ejpam-5619	92	1	evθ−	evθ−	NOUN
ejpam-5619	92	2	θ	θ	PROPN
ejpam-5619	92	3	ϵ	ϵ	X
ejpam-5619	92	4	dθ	dθ	PROPN
ejpam-5619	92	5			PROPN
ejpam-5619	92	6	=	=	SYM
ejpam-5619	92	7	1	1	NUM
ejpam-5619	92	8	δ	δ	NOUN
ejpam-5619	92	9	−	−	NOUN
ejpam-5619	92	10	u	u	NOUN
ejpam-5619	92	11	×	×	NOUN
ejpam-5619	92	12	1	1	NUM
ejpam-5619	92	13	ϵ	ϵ	X
ejpam-5619	92	14	(	(	PUNCT
ejpam-5619	92	15	1−	1−	NUM
ejpam-5619	92	16	vϵ	vϵ	ADJ
ejpam-5619	92	17	)	)	PUNCT
ejpam-5619	92	18	=	=	SYM
ejpam-5619	92	19	1	1	NUM
ejpam-5619	92	20	ϵ	ϵ	X
ejpam-5619	92	21	(	(	PUNCT
ejpam-5619	92	22	δ	δ	PROPN
ejpam-5619	92	23	−	−	PROPN
ejpam-5619	92	24	u	u	NOUN
ejpam-5619	92	25	)	)	PUNCT
ejpam-5619	92	26	(	(	PUNCT
ejpam-5619	92	27	1−	1−	NUM
ejpam-5619	92	28	vϵ	vϵ	ADJ
ejpam-5619	92	29	)	)	PUNCT
ejpam-5619	92	30	,	,	PUNCT
ejpam-5619	92	31	re(δ	re(δ	NOUN
ejpam-5619	92	32	)	)	PUNCT
ejpam-5619	92	33	>	>	X
ejpam-5619	92	34	re(u	re(u	PROPN
ejpam-5619	92	35	)	)	PUNCT
ejpam-5619	92	36	.	.	PUNCT
ejpam-5619	93	1	3.2	3.2	NUM
ejpam-5619	93	2	.	.	PUNCT
ejpam-5619	94	1	existence	existence	NOUN
ejpam-5619	94	2	condition	condition	NOUN
ejpam-5619	94	3	for	for	ADP
ejpam-5619	94	4	double	double	ADJ
ejpam-5619	94	5	laplace	laplace	NOUN
ejpam-5619	94	6	-	-	PUNCT
ejpam-5619	94	7	sawi	sawi	NOUN
ejpam-5619	94	8	transform	transform	NOUN
ejpam-5619	94	9	definition	definition	NOUN
ejpam-5619	94	10	3	3	NUM
ejpam-5619	94	11	.	.	PUNCT
ejpam-5619	95	1	a	a	DET
ejpam-5619	95	2	function	function	NOUN
ejpam-5619	95	3	g(η	g(η	PROPN
ejpam-5619	95	4	,	,	PUNCT
ejpam-5619	95	5	θ	θ	PROPN
ejpam-5619	95	6	)	)	PUNCT
ejpam-5619	95	7	is	be	AUX
ejpam-5619	95	8	said	say	VERB
ejpam-5619	95	9	to	to	PART
ejpam-5619	95	10	be	be	AUX
ejpam-5619	95	11	of	of	ADP
ejpam-5619	95	12	exponential	exponential	ADJ
ejpam-5619	95	13	orders	order	NOUN
ejpam-5619	95	14	u	u	NOUN
ejpam-5619	95	15	and	and	CCONJ
ejpam-5619	95	16	v	v	VERB
ejpam-5619	95	17	on	on	ADP
ejpam-5619	95	18	0	0	NUM
ejpam-5619	95	19	≤	≤	NUM
ejpam-5619	95	20	η	η	PROPN
ejpam-5619	95	21	<	<	X
ejpam-5619	95	22	∞	∞	PROPN
ejpam-5619	95	23	and	and	CCONJ
ejpam-5619	95	24	0	0	NUM
ejpam-5619	95	25	≤	≤	NUM
ejpam-5619	95	26	θ	θ	PROPN
ejpam-5619	95	27	<	<	X
ejpam-5619	95	28	∞.	∞.	PROPN
ejpam-5619	95	29	if	if	SCONJ
ejpam-5619	95	30	there	there	PRON
ejpam-5619	95	31	exist	exist	VERB
ejpam-5619	95	32	k	k	PROPN
ejpam-5619	95	33	,	,	PUNCT
ejpam-5619	95	34	x	x	PROPN
ejpam-5619	95	35	,	,	PUNCT
ejpam-5619	95	36	y	y	PROPN
ejpam-5619	95	37	>	>	X
ejpam-5619	95	38	0	0	NUM
ejpam-5619	96	1	such	such	ADJ
ejpam-5619	96	2	that	that	SCONJ
ejpam-5619	96	3	|g(η	|g(η	PROPN
ejpam-5619	96	4	,	,	PUNCT
ejpam-5619	96	5	θ)|	θ)|	NOUN
ejpam-5619	96	6	≤	≤	NOUN
ejpam-5619	96	7	keuη+vθ	keuη+vθ	ADV
ejpam-5619	96	8	,	,	PUNCT
ejpam-5619	96	9	for	for	ADP
ejpam-5619	96	10	all	all	DET
ejpam-5619	96	11	η	η	PROPN
ejpam-5619	96	12	>	>	X
ejpam-5619	96	13	x	x	PROPN
ejpam-5619	96	14	,	,	PUNCT
ejpam-5619	96	15	θ	θ	PROPN
ejpam-5619	96	16	>	>	X
ejpam-5619	96	17	y.	y.	PROPN
ejpam-5619	96	18	theorem	theorem	VERB
ejpam-5619	96	19	1	1	X
ejpam-5619	96	20	.	.	PUNCT
ejpam-5619	97	1	let	let	AUX
ejpam-5619	97	2	g(η	g(η	VERB
ejpam-5619	97	3	,	,	PUNCT
ejpam-5619	97	4	θ	θ	PROPN
ejpam-5619	97	5	)	)	PUNCT
ejpam-5619	97	6	be	be	VERB
ejpam-5619	97	7	a	a	DET
ejpam-5619	97	8	continuous	continuous	ADJ
ejpam-5619	97	9	function	function	NOUN
ejpam-5619	97	10	on	on	ADP
ejpam-5619	97	11	the	the	DET
ejpam-5619	97	12	region	region	NOUN
ejpam-5619	98	1	[	[	X
ejpam-5619	98	2	0,∞	0,∞	NOUN
ejpam-5619	98	3	)	)	PUNCT
ejpam-5619	98	4	×	×	NOUN
ejpam-5619	99	1	[	[	X
ejpam-5619	99	2	0,∞	0,∞	NOUN
ejpam-5619	99	3	)	)	PUNCT
ejpam-5619	99	4	of	of	ADP
ejpam-5619	99	5	exponential	exponential	ADJ
ejpam-5619	99	6	orders	order	NOUN
ejpam-5619	99	7	u	u	NOUN
ejpam-5619	99	8	and	and	CCONJ
ejpam-5619	99	9	v.	v.	ADP
ejpam-5619	99	10	then	then	ADV
ejpam-5619	99	11	g(δ	g(δ	PROPN
ejpam-5619	99	12	,	,	PUNCT
ejpam-5619	99	13	ϵ	ϵ	NOUN
ejpam-5619	99	14	)	)	PUNCT
ejpam-5619	99	15	exists	exist	VERB
ejpam-5619	99	16	for	for	ADP
ejpam-5619	99	17	δ	δ	PROPN
ejpam-5619	99	18	,	,	PUNCT
ejpam-5619	99	19	ϵ	ϵ	PROPN
ejpam-5619	99	20	and	and	CCONJ
ejpam-5619	99	21	γ	γ	X
ejpam-5619	99	22	whenever	whenever	SCONJ
ejpam-5619	99	23	re	re	X
ejpam-5619	99	24	(	(	PUNCT
ejpam-5619	99	25	δ	δ	X
ejpam-5619	99	26	)	)	PUNCT
ejpam-5619	99	27	>	>	X
ejpam-5619	99	28	u	u	PROPN
ejpam-5619	99	29	and	and	CCONJ
ejpam-5619	99	30	re	re	ADJ
ejpam-5619	99	31	(	(	PUNCT
ejpam-5619	99	32	1	1	NUM
ejpam-5619	99	33	ϵ	ϵ	NOUN
ejpam-5619	99	34	)	)	PUNCT
ejpam-5619	99	35	>	>	PUNCT
ejpam-5619	100	1	v.	v.	ADP
ejpam-5619	100	2	proof	proof	NOUN
ejpam-5619	100	3	.	.	PUNCT
ejpam-5619	101	1	we	we	PRON
ejpam-5619	101	2	have	have	VERB
ejpam-5619	101	3	|g(δ	|g(δ	PROPN
ejpam-5619	101	4	,	,	PUNCT
ejpam-5619	101	5	ϵ)|	ϵ)|	PROPN
ejpam-5619	101	6	=	=	SYM
ejpam-5619	101	7	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-5619	101	8	1ϵ2	1ϵ2	NUM
ejpam-5619	102	1	∞∫	∞∫	PROPN
ejpam-5619	102	2	0	0	NUM
ejpam-5619	102	3	∞∫	∞∫	PROPN
ejpam-5619	102	4	0	0	NUM
ejpam-5619	103	1	e−δη−	e−δη−	PROPN
ejpam-5619	103	2	θ	θ	PROPN
ejpam-5619	103	3	ϵ	ϵ	X
ejpam-5619	103	4	g(η	g(η	PROPN
ejpam-5619	103	5	,	,	PUNCT
ejpam-5619	103	6	θ	θ	NOUN
ejpam-5619	103	7	)	)	PUNCT
ejpam-5619	103	8	dηdθ	dηdθ	NOUN
ejpam-5619	103	9	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-5619	104	1	≤	≤	ADJ
ejpam-5619	104	2	1	1	NUM
ejpam-5619	104	3	ϵ2	ϵ2	PROPN
ejpam-5619	104	4	∞∫	∞∫	PROPN
ejpam-5619	104	5	0	0	NUM
ejpam-5619	104	6	∞∫	∞∫	PROPN
ejpam-5619	104	7	0	0	NUM
ejpam-5619	105	1	e−δη−	e−δη−	PROPN
ejpam-5619	105	2	θ	θ	PROPN
ejpam-5619	105	3	ϵ	ϵ	X
ejpam-5619	105	4	|g(η	|g(η	PROPN
ejpam-5619	105	5	,	,	PUNCT
ejpam-5619	105	6	θ)|	θ)|	PROPN
ejpam-5619	105	7	dηdθ	dηdθ	NOUN
ejpam-5619	105	8	≤	≤	ADJ
ejpam-5619	106	1	k	k	PROPN
ejpam-5619	106	2	1	1	NUM
ejpam-5619	106	3	ϵ2	ϵ2	PROPN
ejpam-5619	106	4	∞∫	∞∫	PROPN
ejpam-5619	106	5	0	0	NUM
ejpam-5619	107	1	∞∫	∞∫	PROPN
ejpam-5619	107	2	0	0	NUM
ejpam-5619	108	1	e−δη−	e−δη−	PROPN
ejpam-5619	108	2	θ	θ	X
ejpam-5619	108	3	ϵ	ϵ	X
ejpam-5619	108	4	euη+vθdηdθ	euη+vθdηdθ	PROPN
ejpam-5619	108	5	=	=	SYM
ejpam-5619	108	6	k	k	PROPN
ejpam-5619	108	7	∞∫	∞∫	PROPN
ejpam-5619	108	8	0	0	NUM
ejpam-5619	109	1	∞∫	∞∫	PROPN
ejpam-5619	109	2	0	0	NUM
ejpam-5619	109	3	(	(	PUNCT
ejpam-5619	109	4	e−(δ−u)η	e−(δ−u)η	NOUN
ejpam-5619	109	5	)	)	PUNCT
ejpam-5619	109	6	(	(	PUNCT
ejpam-5619	109	7	1	1	NUM
ejpam-5619	109	8	ϵ2	ϵ2	PROPN
ejpam-5619	109	9	e−	e−	PROPN
ejpam-5619	109	10	(	(	PUNCT
ejpam-5619	109	11	1	1	NUM
ejpam-5619	109	12	ϵ	ϵ	PRON
ejpam-5619	109	13	−v)θ	−v)θ	NOUN
ejpam-5619	109	14	)	)	PUNCT
ejpam-5619	109	15	dηdθ	dηdθ	NOUN
ejpam-5619	109	16	=	=	PUNCT
ejpam-5619	110	1	k	k	X
ejpam-5619	110	2	∞∫	∞∫	NOUN
ejpam-5619	110	3	0	0	NUM
ejpam-5619	111	1	e−(δ−u)ηdη	e−(δ−u)ηdη	NUM
ejpam-5619	111	2			PROPN
ejpam-5619	111	3	1	1	NUM
ejpam-5619	111	4	ϵ2	ϵ2	PROPN
ejpam-5619	111	5	∞∫	∞∫	PROPN
ejpam-5619	111	6	0	0	PUNCT
ejpam-5619	112	1	e−	e−	PROPN
ejpam-5619	112	2	(	(	PUNCT
ejpam-5619	112	3	1	1	NUM
ejpam-5619	112	4	ϵ	ϵ	X
ejpam-5619	112	5	−v)θdθ	−v)θdθ	NOUN
ejpam-5619	112	6			PROPN
ejpam-5619	112	7	=	=	SYM
ejpam-5619	112	8	k	k	PROPN
ejpam-5619	112	9	ϵ	ϵ	X
ejpam-5619	112	10	(	(	PUNCT
ejpam-5619	112	11	δ	δ	PROPN
ejpam-5619	112	12	−	−	PROPN
ejpam-5619	112	13	u	u	NOUN
ejpam-5619	112	14	)	)	PUNCT
ejpam-5619	112	15	(	(	PUNCT
ejpam-5619	112	16	1−	1−	NUM
ejpam-5619	112	17	vϵ	vϵ	ADJ
ejpam-5619	112	18	)	)	PUNCT
ejpam-5619	112	19	,	,	PUNCT
ejpam-5619	112	20	where	where	SCONJ
ejpam-5619	112	21	re	re	X
ejpam-5619	112	22	(	(	PUNCT
ejpam-5619	112	23	δ	δ	X
ejpam-5619	112	24	)	)	PUNCT
ejpam-5619	112	25	>	>	X
ejpam-5619	112	26	u	u	PROPN
ejpam-5619	112	27	and	and	CCONJ
ejpam-5619	112	28	re	re	ADJ
ejpam-5619	112	29	(	(	PUNCT
ejpam-5619	112	30	1	1	NUM
ejpam-5619	112	31	ϵ	ϵ	NOUN
ejpam-5619	112	32	)	)	PUNCT
ejpam-5619	112	33	>	>	X
ejpam-5619	112	34	v.	v.	ADP
ejpam-5619	112	35	m.	m.	PROPN
ejpam-5619	112	36	al	al	PROPN
ejpam-5619	112	37	-	-	PUNCT
ejpam-5619	112	38	momani	momani	PROPN
ejpam-5619	112	39	,	,	PUNCT
ejpam-5619	112	40	a.	a.	NOUN
ejpam-5619	112	41	jaradat	jaradat	PROPN
ejpam-5619	112	42	,	,	PUNCT
ejpam-5619	112	43	b.	b.	PROPN
ejpam-5619	112	44	abughazaleh	abughazaleh	PROPN
ejpam-5619	112	45	/	/	SYM
ejpam-5619	112	46	eur	eur	PROPN
ejpam-5619	112	47	.	.	PUNCT
ejpam-5619	113	1	j.	j.	PROPN
ejpam-5619	113	2	pure	pure	PROPN
ejpam-5619	113	3	appl	appl	PROPN
ejpam-5619	113	4	.	.	PROPN
ejpam-5619	113	5	math	math	PROPN
ejpam-5619	113	6	,	,	PUNCT
ejpam-5619	113	7	18	18	NUM
ejpam-5619	113	8	(	(	PUNCT
ejpam-5619	113	9	1	1	NUM
ejpam-5619	113	10	)	)	PUNCT
ejpam-5619	113	11	(	(	PUNCT
ejpam-5619	113	12	2025	2025	NUM
ejpam-5619	113	13	)	)	PUNCT
ejpam-5619	113	14	,	,	PUNCT
ejpam-5619	113	15	5619	5619	NUM
ejpam-5619	113	16	6	6	NUM
ejpam-5619	113	17	of	of	ADP
ejpam-5619	113	18	19	19	NUM
ejpam-5619	113	19	3.3	3.3	NUM
ejpam-5619	113	20	.	.	PUNCT
ejpam-5619	114	1	derivatives	derivative	NOUN
ejpam-5619	114	2	properties	property	NOUN
ejpam-5619	114	3	now	now	ADV
ejpam-5619	114	4	,	,	PUNCT
ejpam-5619	114	5	we	we	PRON
ejpam-5619	114	6	present	present	VERB
ejpam-5619	114	7	some	some	DET
ejpam-5619	114	8	basic	basic	ADJ
ejpam-5619	114	9	properties	property	NOUN
ejpam-5619	114	10	of	of	ADP
ejpam-5619	114	11	the	the	DET
ejpam-5619	114	12	dlswt	dlswt	NOUN
ejpam-5619	114	13	let	let	VERB
ejpam-5619	114	14	g(δ	g(δ	PROPN
ejpam-5619	114	15	,	,	PUNCT
ejpam-5619	114	16	ϵ	ϵ	X
ejpam-5619	114	17	)	)	PUNCT
ejpam-5619	114	18	=	=	SYM
ejpam-5619	114	19	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	114	20	,	,	PUNCT
ejpam-5619	114	21	θ	θ	PROPN
ejpam-5619	114	22	)	)	PUNCT
ejpam-5619	114	23	)	)	PUNCT
ejpam-5619	114	24	where	where	SCONJ
ejpam-5619	114	25	g(η	g(η	PROPN
ejpam-5619	114	26	,	,	PUNCT
ejpam-5619	114	27	θ	θ	PROPN
ejpam-5619	114	28	)	)	PUNCT
ejpam-5619	114	29	is	be	AUX
ejpam-5619	114	30	a	a	DET
ejpam-5619	114	31	continuous	continuous	ADJ
ejpam-5619	114	32	function	function	NOUN
ejpam-5619	114	33	on	on	ADP
ejpam-5619	114	34	(	(	PUNCT
ejpam-5619	114	35	0,∞)×	0,∞)×	NUM
ejpam-5619	114	36	(	(	PUNCT
ejpam-5619	114	37	0,∞	0,∞	NUM
ejpam-5619	114	38	)	)	PUNCT
ejpam-5619	114	39	.	.	PUNCT
ejpam-5619	115	1	then	then	ADV
ejpam-5619	115	2	(	(	PUNCT
ejpam-5619	115	3	i	i	NOUN
ejpam-5619	115	4	)	)	PUNCT
ejpam-5619	115	5	lηwθ	lηwθ	PROPN
ejpam-5619	115	6	(	(	PUNCT
ejpam-5619	115	7	∂g(η	∂g(η	PROPN
ejpam-5619	115	8	,	,	PUNCT
ejpam-5619	115	9	θ	θ	NOUN
ejpam-5619	115	10	)	)	PUNCT
ejpam-5619	115	11	∂η	∂η	PROPN
ejpam-5619	115	12	)	)	PUNCT
ejpam-5619	116	1	=	=	SYM
ejpam-5619	116	2	δg(δ	δg(δ	X
ejpam-5619	116	3	,	,	PUNCT
ejpam-5619	116	4	ϵ)−w	ϵ)−w	X
ejpam-5619	116	5	(	(	PUNCT
ejpam-5619	116	6	g(0	g(0	PROPN
ejpam-5619	116	7	,	,	PUNCT
ejpam-5619	116	8	θ	θ	NOUN
ejpam-5619	116	9	)	)	PUNCT
ejpam-5619	116	10	)	)	PUNCT
ejpam-5619	116	11	,	,	PUNCT
ejpam-5619	116	12	(	(	PUNCT
ejpam-5619	116	13	12	12	NUM
ejpam-5619	116	14	)	)	PUNCT
ejpam-5619	116	15	(	(	PUNCT
ejpam-5619	116	16	ii	ii	NOUN
ejpam-5619	116	17	)	)	PUNCT
ejpam-5619	116	18	lηwθ	lηwθ	NOUN
ejpam-5619	116	19	(	(	PUNCT
ejpam-5619	116	20	∂2g(η	∂2g(η	X
ejpam-5619	116	21	,	,	PUNCT
ejpam-5619	116	22	θ	θ	NOUN
ejpam-5619	116	23	)	)	PUNCT
ejpam-5619	116	24	∂η2	∂η2	VERB
ejpam-5619	116	25	)	)	PUNCT
ejpam-5619	117	1	=	=	SYM
ejpam-5619	117	2	δ2g(δ	δ2g(δ	ADJ
ejpam-5619	117	3	,	,	PUNCT
ejpam-5619	117	4	ϵ)−	ϵ)−	PROPN
ejpam-5619	117	5	δw	δw	INTJ
ejpam-5619	117	6	(	(	PUNCT
ejpam-5619	117	7	g(0	g(0	PROPN
ejpam-5619	117	8	,	,	PUNCT
ejpam-5619	117	9	θ))−w	θ))−w	PROPN
ejpam-5619	117	10	(	(	PUNCT
ejpam-5619	117	11	gη(0	gη(0	PROPN
ejpam-5619	117	12	,	,	PUNCT
ejpam-5619	117	13	θ	θ	NOUN
ejpam-5619	117	14	)	)	PUNCT
ejpam-5619	117	15	)	)	PUNCT
ejpam-5619	117	16	,	,	PUNCT
ejpam-5619	117	17	(	(	PUNCT
ejpam-5619	117	18	iii	iii	X
ejpam-5619	117	19	)	)	PUNCT
ejpam-5619	117	20	lηwθ	lηwθ	NOUN
ejpam-5619	117	21	(	(	PUNCT
ejpam-5619	117	22	∂g(η	∂g(η	PROPN
ejpam-5619	117	23	,	,	PUNCT
ejpam-5619	117	24	θ	θ	NOUN
ejpam-5619	117	25	)	)	PUNCT
ejpam-5619	117	26	∂θ	∂θ	PROPN
ejpam-5619	117	27	)	)	PUNCT
ejpam-5619	117	28	=	=	SYM
ejpam-5619	117	29	1	1	NUM
ejpam-5619	117	30	ϵ	ϵ	PRON
ejpam-5619	117	31	g(δ	g(δ	PROPN
ejpam-5619	117	32	,	,	PUNCT
ejpam-5619	117	33	ϵ)−	ϵ)−	PROPN
ejpam-5619	117	34	1	1	NUM
ejpam-5619	117	35	ϵ2	ϵ2	NOUN
ejpam-5619	117	36	l(g(η	l(g(η	PROPN
ejpam-5619	117	37	,	,	PUNCT
ejpam-5619	117	38	0	0	NUM
ejpam-5619	117	39	)	)	PUNCT
ejpam-5619	117	40	)	)	PUNCT
ejpam-5619	117	41	,	,	PUNCT
ejpam-5619	117	42	(	(	PUNCT
ejpam-5619	117	43	13	13	NUM
ejpam-5619	117	44	)	)	PUNCT
ejpam-5619	117	45	(	(	PUNCT
ejpam-5619	117	46	iv	iv	X
ejpam-5619	117	47	)	)	PUNCT
ejpam-5619	117	48	lηwθ	lηwθ	NOUN
ejpam-5619	117	49	(	(	PUNCT
ejpam-5619	117	50	∂2g(η	∂2g(η	X
ejpam-5619	117	51	,	,	PUNCT
ejpam-5619	117	52	θ	θ	NOUN
ejpam-5619	117	53	)	)	PUNCT
ejpam-5619	117	54	∂θ2	∂θ2	NOUN
ejpam-5619	117	55	)	)	PUNCT
ejpam-5619	117	56	=	=	SYM
ejpam-5619	117	57	1	1	NUM
ejpam-5619	117	58	ϵ2	ϵ2	PROPN
ejpam-5619	117	59	g(δ	g(δ	PROPN
ejpam-5619	117	60	,	,	PUNCT
ejpam-5619	117	61	ϵ)−	ϵ)−	PROPN
ejpam-5619	117	62	1	1	NUM
ejpam-5619	117	63	ϵ3	ϵ3	PROPN
ejpam-5619	117	64	l(g(η	l(g(η	PROPN
ejpam-5619	117	65	,	,	PUNCT
ejpam-5619	117	66	0))−	0))−	NUM
ejpam-5619	117	67	1	1	NUM
ejpam-5619	117	68	ϵ2	ϵ2	NOUN
ejpam-5619	117	69	l(gθ(η	l(gθ(η	PROPN
ejpam-5619	117	70	,	,	PUNCT
ejpam-5619	117	71	0	0	NUM
ejpam-5619	117	72	)	)	PUNCT
ejpam-5619	117	73	)	)	PUNCT
ejpam-5619	117	74	,	,	PUNCT
ejpam-5619	117	75	(	(	PUNCT
ejpam-5619	117	76	14	14	NUM
ejpam-5619	117	77	)	)	PUNCT
ejpam-5619	117	78	(	(	PUNCT
ejpam-5619	117	79	v	v	NOUN
ejpam-5619	117	80	)	)	PUNCT
ejpam-5619	117	81	lηwθ	lηwθ	NOUN
ejpam-5619	117	82	(	(	PUNCT
ejpam-5619	117	83	∂2g(η	∂2g(η	X
ejpam-5619	117	84	,	,	PUNCT
ejpam-5619	117	85	θ	θ	NOUN
ejpam-5619	117	86	)	)	PUNCT
ejpam-5619	117	87	∂η∂θ	∂η∂θ	NOUN
ejpam-5619	117	88	)	)	PUNCT
ejpam-5619	117	89	=	=	PUNCT
ejpam-5619	118	1	δ	δ	X
ejpam-5619	118	2	ϵ	ϵ	PROPN
ejpam-5619	118	3	g(δ	g(δ	PROPN
ejpam-5619	118	4	,	,	PUNCT
ejpam-5619	118	5	ϵ)−	ϵ)−	PROPN
ejpam-5619	118	6	δ	δ	PROPN
ejpam-5619	118	7	ϵ2	ϵ2	PROPN
ejpam-5619	118	8	l(g(η	l(g(η	PROPN
ejpam-5619	118	9	,	,	PUNCT
ejpam-5619	118	10	0))−	0))−	NUM
ejpam-5619	119	1	1	1	NUM
ejpam-5619	119	2	ϵ	ϵ	PART
ejpam-5619	119	3	w	w	PROPN
ejpam-5619	119	4	(	(	PUNCT
ejpam-5619	119	5	g(0	g(0	PROPN
ejpam-5619	119	6	,	,	PUNCT
ejpam-5619	119	7	θ	θ	NOUN
ejpam-5619	119	8	)	)	PUNCT
ejpam-5619	119	9	)	)	PUNCT
ejpam-5619	120	1	+	+	CCONJ
ejpam-5619	120	2	1	1	NUM
ejpam-5619	120	3	ϵ2	ϵ2	NOUN
ejpam-5619	120	4	g(0	g(0	NOUN
ejpam-5619	120	5	,	,	PUNCT
ejpam-5619	120	6	0	0	NUM
ejpam-5619	120	7	)	)	PUNCT
ejpam-5619	120	8	.	.	PUNCT
ejpam-5619	121	1	(	(	PUNCT
ejpam-5619	121	2	15	15	X
ejpam-5619	121	3	)	)	PUNCT
ejpam-5619	121	4	proof	proof	NOUN
ejpam-5619	121	5	.	.	PUNCT
ejpam-5619	122	1	(	(	PUNCT
ejpam-5619	122	2	1	1	X
ejpam-5619	122	3	)	)	PUNCT
ejpam-5619	122	4	lηwθ	lηwθ	NOUN
ejpam-5619	122	5	(	(	PUNCT
ejpam-5619	122	6	∂g(η	∂g(η	PROPN
ejpam-5619	122	7	,	,	PUNCT
ejpam-5619	122	8	θ	θ	NOUN
ejpam-5619	122	9	)	)	PUNCT
ejpam-5619	122	10	∂η	∂η	PROPN
ejpam-5619	122	11	)	)	PUNCT
ejpam-5619	123	1	=	=	SYM
ejpam-5619	123	2	1	1	NUM
ejpam-5619	123	3	ϵ2	ϵ2	PROPN
ejpam-5619	123	4	∞∫	∞∫	PROPN
ejpam-5619	123	5	0	0	NUM
ejpam-5619	124	1	∞∫	∞∫	PROPN
ejpam-5619	124	2	0	0	NUM
ejpam-5619	125	1	e−δη−	e−δη−	PROPN
ejpam-5619	125	2	θ	θ	PROPN
ejpam-5619	125	3	ϵ	ϵ	SYM
ejpam-5619	125	4	∂g(η	∂g(η	PROPN
ejpam-5619	125	5	,	,	PUNCT
ejpam-5619	125	6	θ	θ	NOUN
ejpam-5619	125	7	)	)	PUNCT
ejpam-5619	125	8	∂η	∂η	PROPN
ejpam-5619	125	9	dηdθ	dηdθ	NOUN
ejpam-5619	125	10	=	=	SYM
ejpam-5619	125	11	1	1	NUM
ejpam-5619	125	12	ϵ2	ϵ2	PROPN
ejpam-5619	125	13	∞∫	∞∫	PROPN
ejpam-5619	125	14	0	0	NUM
ejpam-5619	126	1	e−	e−	PROPN
ejpam-5619	126	2	θ	θ	PROPN
ejpam-5619	126	3	ϵ	ϵ	X
ejpam-5619	126	4	∞∫	∞∫	PROPN
ejpam-5619	126	5	0	0	NUM
ejpam-5619	126	6	e−δη	e−δη	PROPN
ejpam-5619	126	7	∂g(η	∂g(η	VERB
ejpam-5619	126	8	,	,	PUNCT
ejpam-5619	126	9	θ	θ	NOUN
ejpam-5619	126	10	)	)	PUNCT
ejpam-5619	126	11	∂η	∂η	PROPN
ejpam-5619	126	12	dηdθ	dηdθ	NOUN
ejpam-5619	126	13	.	.	PUNCT
ejpam-5619	127	1	by	by	ADP
ejpam-5619	127	2	integrating	integrate	VERB
ejpam-5619	127	3	by	by	ADP
ejpam-5619	127	4	parts	part	NOUN
ejpam-5619	127	5	,	,	PUNCT
ejpam-5619	127	6	we	we	PRON
ejpam-5619	127	7	get	get	VERB
ejpam-5619	127	8	lηwθ	lηwθ	ADJ
ejpam-5619	127	9	(	(	PUNCT
ejpam-5619	127	10	∂g(η	∂g(η	PROPN
ejpam-5619	127	11	,	,	PUNCT
ejpam-5619	127	12	θ	θ	NOUN
ejpam-5619	127	13	)	)	PUNCT
ejpam-5619	127	14	∂η	∂η	PROPN
ejpam-5619	127	15	)	)	PUNCT
ejpam-5619	128	1	=	=	SYM
ejpam-5619	128	2	1	1	NUM
ejpam-5619	128	3	ϵ2	ϵ2	PROPN
ejpam-5619	128	4	∞∫	∞∫	PROPN
ejpam-5619	128	5	0	0	NUM
ejpam-5619	129	1	e−	e−	PROPN
ejpam-5619	129	2	θ	θ	X
ejpam-5619	129	3	ϵ	ϵ	X
ejpam-5619	129	4	(	(	PUNCT
ejpam-5619	129	5	−g(0	−g(0	PROPN
ejpam-5619	129	6	,	,	PUNCT
ejpam-5619	129	7	θ	θ	NOUN
ejpam-5619	129	8	)	)	PUNCT
ejpam-5619	129	9	+	+	CCONJ
ejpam-5619	129	10	δ	δ	PROPN
ejpam-5619	129	11	∞∫	∞∫	PROPN
ejpam-5619	129	12	0	0	NUM
ejpam-5619	129	13	e−δηg(η	e−δηg(η	PROPN
ejpam-5619	129	14	,	,	PUNCT
ejpam-5619	129	15	θ	θ	PROPN
ejpam-5619	129	16	)	)	PUNCT
ejpam-5619	129	17	dη	dη	NOUN
ejpam-5619	129	18	)	)	PUNCT
ejpam-5619	130	1	dθ	dθ	PROPN
ejpam-5619	130	2	=	=	SYM
ejpam-5619	130	3	−	−	PROPN
ejpam-5619	130	4	1	1	NUM
ejpam-5619	130	5	ϵ2	ϵ2	PROPN
ejpam-5619	130	6	∞∫	∞∫	PROPN
ejpam-5619	130	7	0	0	NUM
ejpam-5619	131	1	e−	e−	PROPN
ejpam-5619	131	2	θ	θ	PROPN
ejpam-5619	131	3	ϵ	ϵ	X
ejpam-5619	131	4	g(0	g(0	PROPN
ejpam-5619	131	5	,	,	PUNCT
ejpam-5619	131	6	θ)dθ	θ)dθ	PROPN
ejpam-5619	131	7	+	+	CCONJ
ejpam-5619	131	8	δ	δ	PROPN
ejpam-5619	131	9	ϵ2	ϵ2	PROPN
ejpam-5619	131	10	∞∫	∞∫	PROPN
ejpam-5619	131	11	0	0	NUM
ejpam-5619	132	1	∞∫	∞∫	PROPN
ejpam-5619	132	2	0	0	NUM
ejpam-5619	133	1	e−δη−	e−δη−	PROPN
ejpam-5619	133	2	θ	θ	PROPN
ejpam-5619	133	3	ϵ	ϵ	X
ejpam-5619	133	4	g(η	g(η	PROPN
ejpam-5619	133	5	,	,	PUNCT
ejpam-5619	133	6	θ	θ	NOUN
ejpam-5619	133	7	)	)	PUNCT
ejpam-5619	133	8	dηdθ	dηdθ	NOUN
ejpam-5619	133	9	=	=	PUNCT
ejpam-5619	133	10	δg(δ	δg(δ	VERB
ejpam-5619	133	11	,	,	PUNCT
ejpam-5619	133	12	ϵ)−w	ϵ)−w	X
ejpam-5619	133	13	(	(	PUNCT
ejpam-5619	133	14	g(0	g(0	PROPN
ejpam-5619	133	15	,	,	PUNCT
ejpam-5619	133	16	θ	θ	NOUN
ejpam-5619	133	17	)	)	PUNCT
ejpam-5619	133	18	)	)	PUNCT
ejpam-5619	133	19	.	.	PUNCT
ejpam-5619	134	1	(	(	PUNCT
ejpam-5619	134	2	2	2	X
ejpam-5619	134	3	)	)	PUNCT
ejpam-5619	134	4	lηwθ	lηwθ	NOUN
ejpam-5619	134	5	(	(	PUNCT
ejpam-5619	134	6	∂2g(η	∂2g(η	X
ejpam-5619	134	7	,	,	PUNCT
ejpam-5619	134	8	θ	θ	NOUN
ejpam-5619	134	9	)	)	PUNCT
ejpam-5619	134	10	∂η2	∂η2	VERB
ejpam-5619	134	11	)	)	PUNCT
ejpam-5619	134	12	=	=	SYM
ejpam-5619	135	1	1	1	NUM
ejpam-5619	135	2	ϵ2	ϵ2	PROPN
ejpam-5619	135	3	∞∫	∞∫	PROPN
ejpam-5619	135	4	0	0	NUM
ejpam-5619	135	5	∞∫	∞∫	PROPN
ejpam-5619	135	6	0	0	NUM
ejpam-5619	136	1	e−δη−	e−δη−	PROPN
ejpam-5619	136	2	θ	θ	PROPN
ejpam-5619	136	3	ϵ	ϵ	X
ejpam-5619	136	4	∂2g(η	∂2g(η	NUM
ejpam-5619	136	5	,	,	PUNCT
ejpam-5619	136	6	θ	θ	PROPN
ejpam-5619	136	7	)	)	PUNCT
ejpam-5619	136	8	∂η2	∂η2	VERB
ejpam-5619	136	9	dηdθ	dηdθ	NOUN
ejpam-5619	136	10	=	=	SYM
ejpam-5619	136	11	1	1	NUM
ejpam-5619	136	12	ϵ2	ϵ2	PROPN
ejpam-5619	136	13	∞∫	∞∫	PROPN
ejpam-5619	136	14	0	0	NUM
ejpam-5619	137	1	e−	e−	PROPN
ejpam-5619	137	2	θ	θ	PROPN
ejpam-5619	137	3	ϵ	ϵ	X
ejpam-5619	137	4	∞∫	∞∫	PROPN
ejpam-5619	137	5	0	0	NUM
ejpam-5619	137	6	e−δη	e−δη	PROPN
ejpam-5619	137	7	∂2g(η	∂2g(η	VERB
ejpam-5619	137	8	,	,	PUNCT
ejpam-5619	137	9	θ	θ	NOUN
ejpam-5619	137	10	)	)	PUNCT
ejpam-5619	137	11	∂η2	∂η2	VERB
ejpam-5619	137	12	dηdθ	dηdθ	NOUN
ejpam-5619	137	13	.	.	PUNCT
ejpam-5619	138	1	by	by	ADP
ejpam-5619	138	2	integrating	integrate	VERB
ejpam-5619	138	3	by	by	ADP
ejpam-5619	138	4	parts	part	NOUN
ejpam-5619	138	5	,	,	PUNCT
ejpam-5619	138	6	we	we	PRON
ejpam-5619	138	7	get	get	VERB
ejpam-5619	138	8	m.	m.	NOUN
ejpam-5619	138	9	al	al	PROPN
ejpam-5619	138	10	-	-	PUNCT
ejpam-5619	138	11	momani	momani	PROPN
ejpam-5619	138	12	,	,	PUNCT
ejpam-5619	138	13	a.	a.	NOUN
ejpam-5619	138	14	jaradat	jaradat	PROPN
ejpam-5619	138	15	,	,	PUNCT
ejpam-5619	138	16	b.	b.	PROPN
ejpam-5619	138	17	abughazaleh	abughazaleh	PROPN
ejpam-5619	138	18	/	/	SYM
ejpam-5619	138	19	eur	eur	PROPN
ejpam-5619	138	20	.	.	PUNCT
ejpam-5619	139	1	j.	j.	PROPN
ejpam-5619	139	2	pure	pure	PROPN
ejpam-5619	139	3	appl	appl	PROPN
ejpam-5619	139	4	.	.	PROPN
ejpam-5619	139	5	math	math	PROPN
ejpam-5619	139	6	,	,	PUNCT
ejpam-5619	139	7	18	18	NUM
ejpam-5619	139	8	(	(	PUNCT
ejpam-5619	139	9	1	1	NUM
ejpam-5619	139	10	)	)	PUNCT
ejpam-5619	139	11	(	(	PUNCT
ejpam-5619	139	12	2025	2025	NUM
ejpam-5619	139	13	)	)	PUNCT
ejpam-5619	139	14	,	,	PUNCT
ejpam-5619	139	15	5619	5619	NUM
ejpam-5619	139	16	7	7	NUM
ejpam-5619	139	17	of	of	ADP
ejpam-5619	139	18	19	19	NUM
ejpam-5619	139	19	lηwθ	lηwθ	NOUN
ejpam-5619	139	20	(	(	PUNCT
ejpam-5619	139	21	∂2g(η	∂2g(η	X
ejpam-5619	139	22	,	,	PUNCT
ejpam-5619	139	23	θ	θ	NOUN
ejpam-5619	139	24	)	)	PUNCT
ejpam-5619	139	25	∂η2	∂η2	VERB
ejpam-5619	139	26	)	)	PUNCT
ejpam-5619	140	1	=	=	SYM
ejpam-5619	140	2	1	1	NUM
ejpam-5619	140	3	ϵ2	ϵ2	PROPN
ejpam-5619	140	4	∞∫	∞∫	PROPN
ejpam-5619	140	5	0	0	NUM
ejpam-5619	141	1	e−	e−	PROPN
ejpam-5619	141	2	θ	θ	PROPN
ejpam-5619	142	1	ϵ	ϵ	X
ejpam-5619	142	2	(	(	PUNCT
ejpam-5619	142	3	−gη(0	−gη(0	PROPN
ejpam-5619	142	4	,	,	PUNCT
ejpam-5619	142	5	θ)−	θ)−	PROPN
ejpam-5619	142	6	δg(0	δg(0	NOUN
ejpam-5619	142	7	,	,	PUNCT
ejpam-5619	142	8	θ	θ	NOUN
ejpam-5619	142	9	)	)	PUNCT
ejpam-5619	143	1	+	+	CCONJ
ejpam-5619	143	2	δ2	δ2	ADJ
ejpam-5619	143	3	∞∫	∞∫	PROPN
ejpam-5619	143	4	0	0	NUM
ejpam-5619	143	5	e−δηg(η	e−δηg(η	PROPN
ejpam-5619	143	6	,	,	PUNCT
ejpam-5619	143	7	θ)dη	θ)dη	PROPN
ejpam-5619	143	8	)	)	PUNCT
ejpam-5619	143	9	dθ	dθ	PROPN
ejpam-5619	143	10	=	=	SYM
ejpam-5619	143	11	−	−	PROPN
ejpam-5619	143	12	1	1	NUM
ejpam-5619	143	13	ϵ2	ϵ2	PROPN
ejpam-5619	143	14	∞∫	∞∫	PROPN
ejpam-5619	143	15	0	0	NUM
ejpam-5619	144	1	e−	e−	PROPN
ejpam-5619	144	2	θ	θ	PROPN
ejpam-5619	144	3	ϵ	ϵ	X
ejpam-5619	144	4	gη(0	gη(0	NOUN
ejpam-5619	144	5	,	,	PUNCT
ejpam-5619	144	6	θ)dθ	θ)dθ	PROPN
ejpam-5619	144	7	−	−	PROPN
ejpam-5619	144	8	δ	δ	PROPN
ejpam-5619	144	9	ϵ2	ϵ2	PROPN
ejpam-5619	144	10	∞∫	∞∫	PROPN
ejpam-5619	144	11	0	0	NUM
ejpam-5619	145	1	e−	e−	PROPN
ejpam-5619	145	2	θ	θ	PROPN
ejpam-5619	145	3	ϵ	ϵ	X
ejpam-5619	145	4	g(0	g(0	PROPN
ejpam-5619	145	5	,	,	PUNCT
ejpam-5619	145	6	θ)dθ	θ)dθ	PROPN
ejpam-5619	145	7	+	+	CCONJ
ejpam-5619	145	8	δ2	δ2	VERB
ejpam-5619	145	9	ϵ2	ϵ2	PROPN
ejpam-5619	145	10	∞∫	∞∫	PROPN
ejpam-5619	145	11	0	0	NUM
ejpam-5619	146	1	∞∫	∞∫	PROPN
ejpam-5619	146	2	0	0	NUM
ejpam-5619	147	1	e−δη−	e−δη−	PROPN
ejpam-5619	147	2	θ	θ	PROPN
ejpam-5619	147	3	ϵ	ϵ	X
ejpam-5619	147	4	g(η	g(η	PROPN
ejpam-5619	147	5	,	,	PUNCT
ejpam-5619	147	6	θ)dηdθ	θ)dηdθ	X
ejpam-5619	147	7	=	=	SYM
ejpam-5619	147	8	δ2g(δ	δ2g(δ	ADJ
ejpam-5619	147	9	,	,	PUNCT
ejpam-5619	147	10	ϵ)−	ϵ)−	PROPN
ejpam-5619	147	11	δw	δw	INTJ
ejpam-5619	147	12	(	(	PUNCT
ejpam-5619	147	13	g(0	g(0	PROPN
ejpam-5619	147	14	,	,	PUNCT
ejpam-5619	147	15	θ))−w	θ))−w	PROPN
ejpam-5619	147	16	(	(	PUNCT
ejpam-5619	147	17	gη(0	gη(0	PROPN
ejpam-5619	147	18	,	,	PUNCT
ejpam-5619	147	19	θ	θ	PROPN
ejpam-5619	147	20	)	)	PUNCT
ejpam-5619	147	21	)	)	PUNCT
ejpam-5619	147	22	.	.	PUNCT
ejpam-5619	148	1	(	(	PUNCT
ejpam-5619	148	2	3	3	X
ejpam-5619	148	3	)	)	PUNCT
ejpam-5619	148	4	lηwθ	lηwθ	NOUN
ejpam-5619	148	5	(	(	PUNCT
ejpam-5619	148	6	∂g(η	∂g(η	PROPN
ejpam-5619	148	7	,	,	PUNCT
ejpam-5619	148	8	θ	θ	NOUN
ejpam-5619	148	9	)	)	PUNCT
ejpam-5619	148	10	∂θ	∂θ	PROPN
ejpam-5619	148	11	)	)	PUNCT
ejpam-5619	149	1	=	=	SYM
ejpam-5619	149	2	1	1	NUM
ejpam-5619	149	3	ϵ2	ϵ2	PROPN
ejpam-5619	149	4	∞∫	∞∫	PROPN
ejpam-5619	149	5	0	0	NUM
ejpam-5619	150	1	∞∫	∞∫	PROPN
ejpam-5619	150	2	0	0	NUM
ejpam-5619	151	1	e−δη−	e−δη−	PROPN
ejpam-5619	151	2	θ	θ	PROPN
ejpam-5619	151	3	ϵ	ϵ	SYM
ejpam-5619	151	4	∂g(η	∂g(η	PROPN
ejpam-5619	151	5	,	,	PUNCT
ejpam-5619	151	6	θ	θ	NOUN
ejpam-5619	151	7	)	)	PUNCT
ejpam-5619	151	8	∂θ	∂θ	PROPN
ejpam-5619	151	9	dηdθ	dηdθ	NOUN
ejpam-5619	151	10	=	=	SYM
ejpam-5619	151	11	1	1	NUM
ejpam-5619	151	12	ϵ2	ϵ2	PROPN
ejpam-5619	151	13	∞∫	∞∫	PROPN
ejpam-5619	151	14	0	0	NUM
ejpam-5619	151	15	e−δη	e−δη	NOUN
ejpam-5619	151	16	∞∫	∞∫	PROPN
ejpam-5619	151	17	0	0	NUM
ejpam-5619	152	1	e−	e−	PROPN
ejpam-5619	152	2	θ	θ	PROPN
ejpam-5619	152	3	ϵ	ϵ	X
ejpam-5619	152	4	∂g(η	∂g(η	PROPN
ejpam-5619	152	5	,	,	PUNCT
ejpam-5619	152	6	θ	θ	NOUN
ejpam-5619	152	7	)	)	PUNCT
ejpam-5619	152	8	∂θ	∂θ	PROPN
ejpam-5619	152	9	dθdη	dθdη	NOUN
ejpam-5619	152	10	.	.	PUNCT
ejpam-5619	153	1	by	by	ADP
ejpam-5619	153	2	integrating	integrate	VERB
ejpam-5619	153	3	by	by	ADP
ejpam-5619	153	4	parts	part	NOUN
ejpam-5619	153	5	,	,	PUNCT
ejpam-5619	153	6	we	we	PRON
ejpam-5619	153	7	get	get	VERB
ejpam-5619	153	8	lηwθ	lηwθ	ADJ
ejpam-5619	153	9	(	(	PUNCT
ejpam-5619	153	10	∂g(η	∂g(η	PROPN
ejpam-5619	153	11	,	,	PUNCT
ejpam-5619	153	12	θ	θ	NOUN
ejpam-5619	153	13	)	)	PUNCT
ejpam-5619	153	14	∂θ	∂θ	PROPN
ejpam-5619	153	15	)	)	PUNCT
ejpam-5619	154	1	=	=	SYM
ejpam-5619	154	2	1	1	NUM
ejpam-5619	154	3	ϵ2	ϵ2	PROPN
ejpam-5619	154	4	∞∫	∞∫	PROPN
ejpam-5619	154	5	0	0	NUM
ejpam-5619	154	6	e−δη	e−δη	NOUN
ejpam-5619	154	7	(	(	PUNCT
ejpam-5619	154	8	−g(η	−g(η	VERB
ejpam-5619	154	9	,	,	PUNCT
ejpam-5619	154	10	0	0	NUM
ejpam-5619	154	11	)	)	PUNCT
ejpam-5619	154	12	+	+	CCONJ
ejpam-5619	154	13	1	1	NUM
ejpam-5619	154	14	ϵ	ϵ	X
ejpam-5619	154	15	∞∫	∞∫	PROPN
ejpam-5619	154	16	0	0	NUM
ejpam-5619	155	1	e−	e−	PROPN
ejpam-5619	155	2	θ	θ	PROPN
ejpam-5619	155	3	ϵ	ϵ	X
ejpam-5619	155	4	g(η	g(η	PROPN
ejpam-5619	155	5	,	,	PUNCT
ejpam-5619	155	6	θ)dθ	θ)dθ	PROPN
ejpam-5619	155	7	)	)	PUNCT
ejpam-5619	155	8	dη	dη	NOUN
ejpam-5619	155	9	=	=	SYM
ejpam-5619	155	10	−	−	PROPN
ejpam-5619	155	11	1	1	NUM
ejpam-5619	155	12	ϵ2	ϵ2	PROPN
ejpam-5619	155	13	∞∫	∞∫	PROPN
ejpam-5619	155	14	0	0	NUM
ejpam-5619	155	15	e−δηg(η	e−δηg(η	PROPN
ejpam-5619	155	16	,	,	PUNCT
ejpam-5619	155	17	0)dη	0)dη	PUNCT
ejpam-5619	156	1	+	+	CCONJ
ejpam-5619	157	1	1	1	NUM
ejpam-5619	157	2	ϵ3	ϵ3	PROPN
ejpam-5619	157	3	∞∫	∞∫	PROPN
ejpam-5619	157	4	0	0	NUM
ejpam-5619	157	5	∞∫	∞∫	PROPN
ejpam-5619	157	6	0	0	NUM
ejpam-5619	158	1	e−δη−	e−δη−	PROPN
ejpam-5619	158	2	θ	θ	PROPN
ejpam-5619	158	3	ϵ	ϵ	X
ejpam-5619	158	4	g(η	g(η	PROPN
ejpam-5619	158	5	,	,	PUNCT
ejpam-5619	158	6	θ	θ	NOUN
ejpam-5619	158	7	)	)	PUNCT
ejpam-5619	158	8	dθdη	dθdη	NOUN
ejpam-5619	158	9	=	=	SYM
ejpam-5619	158	10	1	1	NUM
ejpam-5619	158	11	ϵg(δ	ϵg(δ	NUM
ejpam-5619	158	12	,	,	PUNCT
ejpam-5619	158	13	ϵ)−	ϵ)−	PROPN
ejpam-5619	158	14	1	1	NUM
ejpam-5619	158	15	ϵ2	ϵ2	NOUN
ejpam-5619	158	16	l(g(η	l(g(η	PROPN
ejpam-5619	158	17	,	,	PUNCT
ejpam-5619	158	18	0	0	NUM
ejpam-5619	158	19	)	)	PUNCT
ejpam-5619	158	20	)	)	PUNCT
ejpam-5619	158	21	.	.	PUNCT
ejpam-5619	159	1	(	(	PUNCT
ejpam-5619	159	2	4	4	X
ejpam-5619	159	3	)	)	PUNCT
ejpam-5619	159	4	lηwθ	lηwθ	NOUN
ejpam-5619	159	5	(	(	PUNCT
ejpam-5619	159	6	∂2g(η	∂2g(η	X
ejpam-5619	159	7	,	,	PUNCT
ejpam-5619	159	8	θ	θ	NOUN
ejpam-5619	159	9	)	)	PUNCT
ejpam-5619	159	10	∂θ2	∂θ2	NOUN
ejpam-5619	159	11	)	)	PUNCT
ejpam-5619	159	12	=	=	SYM
ejpam-5619	159	13	1	1	NUM
ejpam-5619	159	14	ϵ2	ϵ2	PROPN
ejpam-5619	159	15	∞∫	∞∫	PROPN
ejpam-5619	159	16	0	0	NUM
ejpam-5619	160	1	∞∫	∞∫	PROPN
ejpam-5619	160	2	0	0	NUM
ejpam-5619	161	1	e−δη−	e−δη−	PROPN
ejpam-5619	161	2	θ	θ	PROPN
ejpam-5619	161	3	ϵ	ϵ	X
ejpam-5619	161	4	∂2g(η	∂2g(η	NUM
ejpam-5619	161	5	,	,	PUNCT
ejpam-5619	161	6	θ	θ	NOUN
ejpam-5619	161	7	)	)	PUNCT
ejpam-5619	161	8	∂θ2	∂θ2	DET
ejpam-5619	161	9	dηdθ	dηdθ	NOUN
ejpam-5619	161	10	=	=	SYM
ejpam-5619	161	11	1	1	NUM
ejpam-5619	161	12	ϵ2	ϵ2	PROPN
ejpam-5619	161	13	∞∫	∞∫	PROPN
ejpam-5619	161	14	0	0	NUM
ejpam-5619	161	15	e−δη	e−δη	NOUN
ejpam-5619	161	16	∞∫	∞∫	PROPN
ejpam-5619	161	17	0	0	NUM
ejpam-5619	162	1	e−	e−	PROPN
ejpam-5619	162	2	θ	θ	PROPN
ejpam-5619	162	3	ϵ	ϵ	X
ejpam-5619	162	4	∂2g(η	∂2g(η	NUM
ejpam-5619	162	5	,	,	PUNCT
ejpam-5619	162	6	θ	θ	NOUN
ejpam-5619	162	7	)	)	PUNCT
ejpam-5619	162	8	∂θ2	∂θ2	DET
ejpam-5619	162	9	dθdη	dθdη	NOUN
ejpam-5619	162	10	.	.	PUNCT
ejpam-5619	163	1	by	by	ADP
ejpam-5619	163	2	integrating	integrate	VERB
ejpam-5619	163	3	by	by	ADP
ejpam-5619	163	4	parts	part	NOUN
ejpam-5619	163	5	,	,	PUNCT
ejpam-5619	163	6	we	we	PRON
ejpam-5619	163	7	get	get	VERB
ejpam-5619	163	8	lηwθ	lηwθ	ADJ
ejpam-5619	163	9	(	(	PUNCT
ejpam-5619	163	10	∂2g(η	∂2g(η	X
ejpam-5619	163	11	,	,	PUNCT
ejpam-5619	163	12	θ	θ	NOUN
ejpam-5619	163	13	)	)	PUNCT
ejpam-5619	163	14	∂θ2	∂θ2	NOUN
ejpam-5619	163	15	)	)	PUNCT
ejpam-5619	163	16	=	=	SYM
ejpam-5619	163	17	1	1	NUM
ejpam-5619	163	18	ϵ2	ϵ2	PROPN
ejpam-5619	163	19	∞∫	∞∫	PROPN
ejpam-5619	163	20	0	0	NUM
ejpam-5619	163	21	e−δη	e−δη	NOUN
ejpam-5619	163	22	(	(	PUNCT
ejpam-5619	163	23	−gθ(η	−gθ(η	VERB
ejpam-5619	163	24	,	,	PUNCT
ejpam-5619	163	25	0)−	0)−	NUM
ejpam-5619	163	26	1	1	NUM
ejpam-5619	163	27	ϵ	ϵ	X
ejpam-5619	163	28	g(η	g(η	PROPN
ejpam-5619	163	29	,	,	PUNCT
ejpam-5619	163	30	0	0	NUM
ejpam-5619	163	31	)	)	PUNCT
ejpam-5619	164	1	+	+	CCONJ
ejpam-5619	164	2	1	1	NUM
ejpam-5619	164	3	ϵ2	ϵ2	PROPN
ejpam-5619	164	4	∞∫	∞∫	PROPN
ejpam-5619	164	5	0	0	NUM
ejpam-5619	165	1	e−	e−	PROPN
ejpam-5619	165	2	θ	θ	PROPN
ejpam-5619	165	3	ϵ	ϵ	X
ejpam-5619	165	4	g(η	g(η	PROPN
ejpam-5619	165	5	,	,	PUNCT
ejpam-5619	165	6	θ)dθ	θ)dθ	PROPN
ejpam-5619	165	7	)	)	PUNCT
ejpam-5619	165	8	dη	dη	NOUN
ejpam-5619	166	1	=	=	SYM
ejpam-5619	166	2	−	−	PROPN
ejpam-5619	166	3	1	1	NUM
ejpam-5619	166	4	ϵ2	ϵ2	PROPN
ejpam-5619	166	5	∞∫	∞∫	PROPN
ejpam-5619	166	6	0	0	NUM
ejpam-5619	166	7	e−δηgθ(η	e−δηgθ(η	PROPN
ejpam-5619	166	8	,	,	PUNCT
ejpam-5619	166	9	0)dη	0)dη	PROPN
ejpam-5619	167	1	−	−	PROPN
ejpam-5619	167	2	1	1	NUM
ejpam-5619	167	3	ϵ3	ϵ3	PROPN
ejpam-5619	167	4	∞∫	∞∫	PROPN
ejpam-5619	167	5	0	0	NUM
ejpam-5619	167	6	e−δηg(η	e−δηg(η	PROPN
ejpam-5619	167	7	,	,	PUNCT
ejpam-5619	167	8	0)dη	0)dη	PROPN
ejpam-5619	168	1	+	+	CCONJ
ejpam-5619	168	2	1	1	NUM
ejpam-5619	168	3	ϵ4	ϵ4	PROPN
ejpam-5619	168	4	∞∫	∞∫	PROPN
ejpam-5619	168	5	0	0	NUM
ejpam-5619	168	6	∞∫	∞∫	PROPN
ejpam-5619	168	7	0	0	NUM
ejpam-5619	169	1	e−δη−	e−δη−	PROPN
ejpam-5619	169	2	θ	θ	PROPN
ejpam-5619	169	3	ϵ	ϵ	X
ejpam-5619	169	4	g(η	g(η	PROPN
ejpam-5619	169	5	,	,	PUNCT
ejpam-5619	169	6	θ)dθdη	θ)dθdη	NOUN
ejpam-5619	169	7	lηwθ	lηwθ	ADJ
ejpam-5619	169	8	(	(	PUNCT
ejpam-5619	169	9	∂2g(η	∂2g(η	X
ejpam-5619	169	10	,	,	PUNCT
ejpam-5619	169	11	θ	θ	NOUN
ejpam-5619	169	12	)	)	PUNCT
ejpam-5619	169	13	∂θ2	∂θ2	NOUN
ejpam-5619	169	14	)	)	PUNCT
ejpam-5619	169	15	=	=	SYM
ejpam-5619	169	16	1	1	NUM
ejpam-5619	169	17	ϵ2	ϵ2	PROPN
ejpam-5619	169	18	g(δ	g(δ	PROPN
ejpam-5619	169	19	,	,	PUNCT
ejpam-5619	169	20	ϵ)−	ϵ)−	PROPN
ejpam-5619	169	21	1	1	NUM
ejpam-5619	169	22	ϵ3	ϵ3	PROPN
ejpam-5619	169	23	l(g(η	l(g(η	PROPN
ejpam-5619	169	24	,	,	PUNCT
ejpam-5619	169	25	0))−	0))−	NUM
ejpam-5619	169	26	1	1	NUM
ejpam-5619	169	27	ϵ2	ϵ2	NOUN
ejpam-5619	169	28	l(gθ(η	l(gθ(η	PROPN
ejpam-5619	169	29	,	,	PUNCT
ejpam-5619	169	30	0	0	NUM
ejpam-5619	169	31	)	)	PUNCT
ejpam-5619	169	32	)	)	PUNCT
ejpam-5619	169	33	.	.	PUNCT
ejpam-5619	170	1	(	(	PUNCT
ejpam-5619	170	2	5	5	X
ejpam-5619	170	3	)	)	PUNCT
ejpam-5619	170	4	lηwθ	lηwθ	NOUN
ejpam-5619	170	5	(	(	PUNCT
ejpam-5619	170	6	∂2g(η	∂2g(η	X
ejpam-5619	170	7	,	,	PUNCT
ejpam-5619	170	8	θ	θ	NOUN
ejpam-5619	170	9	)	)	PUNCT
ejpam-5619	170	10	∂η∂θ	∂η∂θ	NOUN
ejpam-5619	170	11	)	)	PUNCT
ejpam-5619	171	1	=	=	SYM
ejpam-5619	171	2	1	1	NUM
ejpam-5619	171	3	ϵ2	ϵ2	PROPN
ejpam-5619	171	4	∞∫	∞∫	PROPN
ejpam-5619	171	5	0	0	NUM
ejpam-5619	172	1	∞∫	∞∫	PROPN
ejpam-5619	172	2	0	0	NUM
ejpam-5619	173	1	e−δη−	e−δη−	PROPN
ejpam-5619	173	2	θ	θ	PROPN
ejpam-5619	173	3	ϵ	ϵ	X
ejpam-5619	173	4	∂2g(η	∂2g(η	NUM
ejpam-5619	173	5	,	,	PUNCT
ejpam-5619	173	6	θ	θ	NOUN
ejpam-5619	173	7	)	)	PUNCT
ejpam-5619	173	8	∂η∂θ	∂η∂θ	NOUN
ejpam-5619	173	9	dηdθ	dηdθ	NOUN
ejpam-5619	173	10	=	=	SYM
ejpam-5619	173	11	1	1	NUM
ejpam-5619	173	12	ϵ2	ϵ2	PROPN
ejpam-5619	173	13	∞∫	∞∫	PROPN
ejpam-5619	173	14	0	0	NUM
ejpam-5619	174	1	e−	e−	PROPN
ejpam-5619	174	2	θ	θ	PROPN
ejpam-5619	174	3	ϵ	ϵ	X
ejpam-5619	174	4	∞∫	∞∫	PROPN
ejpam-5619	174	5	0	0	NUM
ejpam-5619	174	6	e−δη	e−δη	PROPN
ejpam-5619	174	7	∂2g(η	∂2g(η	VERB
ejpam-5619	174	8	,	,	PUNCT
ejpam-5619	174	9	θ	θ	NOUN
ejpam-5619	174	10	)	)	PUNCT
ejpam-5619	174	11	∂η∂θ	∂η∂θ	NOUN
ejpam-5619	174	12	dηdθ	dηdθ	NOUN
ejpam-5619	174	13	by	by	ADP
ejpam-5619	174	14	integrating	integrate	VERB
ejpam-5619	174	15	by	by	ADP
ejpam-5619	174	16	parts	part	NOUN
ejpam-5619	174	17	,	,	PUNCT
ejpam-5619	174	18	we	we	PRON
ejpam-5619	174	19	get	get	VERB
ejpam-5619	174	20	lηwθ	lηwθ	ADJ
ejpam-5619	174	21	(	(	PUNCT
ejpam-5619	174	22	∂2g(η	∂2g(η	X
ejpam-5619	174	23	,	,	PUNCT
ejpam-5619	174	24	θ	θ	NOUN
ejpam-5619	174	25	)	)	PUNCT
ejpam-5619	174	26	∂η∂θ	∂η∂θ	NOUN
ejpam-5619	174	27	)	)	PUNCT
ejpam-5619	175	1	=	=	SYM
ejpam-5619	175	2	1	1	NUM
ejpam-5619	175	3	ϵ2	ϵ2	PROPN
ejpam-5619	175	4	∞∫	∞∫	PROPN
ejpam-5619	175	5	0	0	NUM
ejpam-5619	176	1	e−	e−	PROPN
ejpam-5619	176	2	θ	θ	PROPN
ejpam-5619	176	3	ϵ	ϵ	X
ejpam-5619	176	4	(	(	PUNCT
ejpam-5619	176	5	−gθ(0	−gθ(0	PROPN
ejpam-5619	176	6	,	,	PUNCT
ejpam-5619	176	7	θ	θ	NOUN
ejpam-5619	176	8	)	)	PUNCT
ejpam-5619	176	9	+	+	CCONJ
ejpam-5619	176	10	δ	δ	PROPN
ejpam-5619	176	11	∞∫	∞∫	PROPN
ejpam-5619	176	12	0	0	NUM
ejpam-5619	176	13	e−δηgθ(η	e−δηgθ(η	PROPN
ejpam-5619	176	14	,	,	PUNCT
ejpam-5619	176	15	θ	θ	NOUN
ejpam-5619	176	16	)	)	PUNCT
ejpam-5619	176	17	dη	dη	NOUN
ejpam-5619	176	18	)	)	PUNCT
ejpam-5619	177	1	dθ	dθ	PROPN
ejpam-5619	177	2	=	=	SYM
ejpam-5619	177	3	−	−	PROPN
ejpam-5619	177	4	1	1	NUM
ejpam-5619	177	5	ϵ2	ϵ2	PROPN
ejpam-5619	177	6	∞∫	∞∫	PROPN
ejpam-5619	177	7	0	0	NUM
ejpam-5619	178	1	e−	e−	PROPN
ejpam-5619	178	2	θ	θ	PROPN
ejpam-5619	178	3	ϵ	ϵ	X
ejpam-5619	178	4	gθ(0	gθ(0	NOUN
ejpam-5619	178	5	,	,	PUNCT
ejpam-5619	178	6	θ)dθ	θ)dθ	PROPN
ejpam-5619	178	7	+	+	CCONJ
ejpam-5619	178	8	δ	δ	PROPN
ejpam-5619	178	9	ϵ2	ϵ2	PROPN
ejpam-5619	178	10	∞∫	∞∫	PROPN
ejpam-5619	178	11	0	0	NUM
ejpam-5619	179	1	∞∫	∞∫	PROPN
ejpam-5619	179	2	0	0	NUM
ejpam-5619	180	1	e−δη−	e−δη−	PROPN
ejpam-5619	180	2	θ	θ	PROPN
ejpam-5619	180	3	ϵ	ϵ	X
ejpam-5619	180	4	gθ(η	gθ(η	X
ejpam-5619	180	5	,	,	PUNCT
ejpam-5619	180	6	θ)dηdθ	θ)dηdθ	PUNCT
ejpam-5619	181	1	=	=	SYM
ejpam-5619	181	2	−w	−w	ADV
ejpam-5619	181	3	(	(	PUNCT
ejpam-5619	181	4	gθ(0	gθ(0	NOUN
ejpam-5619	181	5	,	,	PUNCT
ejpam-5619	181	6	θ	θ	NOUN
ejpam-5619	181	7	)	)	PUNCT
ejpam-5619	181	8	)	)	PUNCT
ejpam-5619	182	1	+	+	CCONJ
ejpam-5619	182	2	δlηwθ	δlηwθ	NOUN
ejpam-5619	182	3	(	(	PUNCT
ejpam-5619	182	4	gθ(η	gθ(η	X
ejpam-5619	182	5	,	,	PUNCT
ejpam-5619	182	6	θ	θ	NOUN
ejpam-5619	182	7	)	)	PUNCT
ejpam-5619	182	8	)	)	PUNCT
ejpam-5619	182	9	using	use	VERB
ejpam-5619	182	10	equations	equation	NOUN
ejpam-5619	182	11	9	9	NUM
ejpam-5619	182	12	and	and	CCONJ
ejpam-5619	182	13	13	13	NUM
ejpam-5619	182	14	we	we	PRON
ejpam-5619	182	15	get	get	VERB
ejpam-5619	182	16	=	=	SYM
ejpam-5619	182	17	δ	δ	PROPN
ejpam-5619	182	18	ϵg(δ	ϵg(δ	NOUN
ejpam-5619	182	19	,	,	PUNCT
ejpam-5619	182	20	ϵ)−	ϵ)−	PROPN
ejpam-5619	182	21	δ	δ	PROPN
ejpam-5619	182	22	ϵ2	ϵ2	PROPN
ejpam-5619	182	23	l(g(η	l(g(η	PROPN
ejpam-5619	182	24	,	,	PUNCT
ejpam-5619	182	25	0))−	0))−	NUM
ejpam-5619	182	26	1	1	NUM
ejpam-5619	182	27	ϵw	ϵw	X
ejpam-5619	182	28	(	(	PUNCT
ejpam-5619	182	29	g(0	g(0	PROPN
ejpam-5619	182	30	,	,	PUNCT
ejpam-5619	182	31	θ	θ	NOUN
ejpam-5619	182	32	)	)	PUNCT
ejpam-5619	182	33	)	)	PUNCT
ejpam-5619	183	1	+	+	CCONJ
ejpam-5619	183	2	1	1	NUM
ejpam-5619	183	3	ϵ2	ϵ2	NOUN
ejpam-5619	183	4	g(0	g(0	NOUN
ejpam-5619	183	5	,	,	PUNCT
ejpam-5619	183	6	0	0	NUM
ejpam-5619	183	7	)	)	PUNCT
ejpam-5619	183	8	.	.	PUNCT
ejpam-5619	184	1	m.	m.	PROPN
ejpam-5619	184	2	al	al	PROPN
ejpam-5619	184	3	-	-	PUNCT
ejpam-5619	184	4	momani	momani	PROPN
ejpam-5619	184	5	,	,	PUNCT
ejpam-5619	184	6	a.	a.	NOUN
ejpam-5619	184	7	jaradat	jaradat	PROPN
ejpam-5619	184	8	,	,	PUNCT
ejpam-5619	184	9	b.	b.	PROPN
ejpam-5619	184	10	abughazaleh	abughazaleh	PROPN
ejpam-5619	184	11	/	/	SYM
ejpam-5619	184	12	eur	eur	PROPN
ejpam-5619	184	13	.	.	PUNCT
ejpam-5619	185	1	j.	j.	PROPN
ejpam-5619	185	2	pure	pure	PROPN
ejpam-5619	185	3	appl	appl	PROPN
ejpam-5619	185	4	.	.	PROPN
ejpam-5619	185	5	math	math	PROPN
ejpam-5619	185	6	,	,	PUNCT
ejpam-5619	185	7	18	18	NUM
ejpam-5619	185	8	(	(	PUNCT
ejpam-5619	185	9	1	1	NUM
ejpam-5619	185	10	)	)	PUNCT
ejpam-5619	185	11	(	(	PUNCT
ejpam-5619	185	12	2025	2025	NUM
ejpam-5619	185	13	)	)	PUNCT
ejpam-5619	185	14	,	,	PUNCT
ejpam-5619	185	15	5619	5619	NUM
ejpam-5619	185	16	8	8	NUM
ejpam-5619	185	17	of	of	ADP
ejpam-5619	185	18	19	19	NUM
ejpam-5619	185	19	3.4	3.4	NUM
ejpam-5619	185	20	.	.	PUNCT
ejpam-5619	186	1	convolution	convolution	NOUN
ejpam-5619	186	2	theorem	theorem	NOUN
ejpam-5619	186	3	of	of	ADP
ejpam-5619	186	4	double	double	ADJ
ejpam-5619	186	5	laplace	laplace	NOUN
ejpam-5619	186	6	-	-	PUNCT
ejpam-5619	186	7	sawi	sawi	NOUN
ejpam-5619	186	8	transform	transform	NOUN
ejpam-5619	186	9	let	let	VERB
ejpam-5619	186	10	h(η	h(η	NOUN
ejpam-5619	186	11	,	,	PUNCT
ejpam-5619	186	12	θ	θ	NOUN
ejpam-5619	186	13	)	)	PUNCT
ejpam-5619	186	14	represent	represent	VERB
ejpam-5619	186	15	the	the	DET
ejpam-5619	186	16	heaviside	heaviside	ADJ
ejpam-5619	186	17	unit	unit	NOUN
ejpam-5619	186	18	step	step	NOUN
ejpam-5619	186	19	function	function	NOUN
ejpam-5619	186	20	,	,	PUNCT
ejpam-5619	186	21	which	which	PRON
ejpam-5619	186	22	is	be	AUX
ejpam-5619	186	23	defined	define	VERB
ejpam-5619	186	24	as	as	SCONJ
ejpam-5619	186	25	follows	follow	VERB
ejpam-5619	186	26	:	:	PUNCT
ejpam-5619	186	27	h(η	h(η	PROPN
ejpam-5619	186	28	−	−	PROPN
ejpam-5619	186	29	u	u	NOUN
ejpam-5619	186	30	,	,	PUNCT
ejpam-5619	186	31	θ	θ	PROPN
ejpam-5619	186	32	−	−	PROPN
ejpam-5619	186	33	v	v	NOUN
ejpam-5619	186	34	)	)	PUNCT
ejpam-5619	186	35	=	=	NOUN
ejpam-5619	186	36	{	{	PUNCT
ejpam-5619	186	37	1	1	NUM
ejpam-5619	186	38	,	,	PUNCT
ejpam-5619	186	39	η	η	PROPN
ejpam-5619	186	40	>	>	X
ejpam-5619	186	41	u	u	PROPN
ejpam-5619	186	42	and	and	CCONJ
ejpam-5619	186	43	θ	θ	PROPN
ejpam-5619	186	44	>	>	X
ejpam-5619	186	45	v	v	ADP
ejpam-5619	186	46	0	0	NUM
ejpam-5619	186	47	,	,	PUNCT
ejpam-5619	186	48	otherwise	otherwise	ADV
ejpam-5619	186	49	then	then	ADV
ejpam-5619	186	50	we	we	PRON
ejpam-5619	186	51	have	have	VERB
ejpam-5619	186	52	the	the	DET
ejpam-5619	186	53	following	follow	VERB
ejpam-5619	186	54	lemma	lemma	PROPN
ejpam-5619	186	55	lemma	lemma	PROPN
ejpam-5619	186	56	1	1	X
ejpam-5619	186	57	.	.	PUNCT
ejpam-5619	187	1	let	let	AUX
ejpam-5619	187	2	g(η	g(η	VERB
ejpam-5619	187	3	,	,	PUNCT
ejpam-5619	187	4	θ	θ	PROPN
ejpam-5619	187	5	)	)	PUNCT
ejpam-5619	187	6	be	be	VERB
ejpam-5619	187	7	a	a	DET
ejpam-5619	187	8	continuous	continuous	ADJ
ejpam-5619	187	9	function	function	NOUN
ejpam-5619	187	10	on	on	ADP
ejpam-5619	187	11	(	(	PUNCT
ejpam-5619	187	12	0,∞)×(0,∞	0,∞)×(0,∞	NUM
ejpam-5619	187	13	)	)	PUNCT
ejpam-5619	187	14	and	and	CCONJ
ejpam-5619	187	15	h(η	h(η	PROPN
ejpam-5619	187	16	,	,	PUNCT
ejpam-5619	187	17	θ	θ	NOUN
ejpam-5619	187	18	)	)	PUNCT
ejpam-5619	187	19	be	be	VERB
ejpam-5619	187	20	the	the	DET
ejpam-5619	187	21	heaviside	heaviside	ADJ
ejpam-5619	187	22	unit	unit	NOUN
ejpam-5619	187	23	step	step	NOUN
ejpam-5619	187	24	function	function	NOUN
ejpam-5619	187	25	.	.	PUNCT
ejpam-5619	188	1	then	then	ADV
ejpam-5619	188	2	lηwθ(g(η−u	lηwθ(g(η−u	NOUN
ejpam-5619	188	3	,	,	PUNCT
ejpam-5619	188	4	θ−v)h(η−u	θ−v)h(η−u	NOUN
ejpam-5619	188	5	,	,	PUNCT
ejpam-5619	188	6	θ−v	θ−v	NOUN
ejpam-5619	188	7	)	)	PUNCT
ejpam-5619	188	8	)	)	PUNCT
ejpam-5619	189	1	=	=	SYM
ejpam-5619	189	2	e−δu−	e−δu−	PROPN
ejpam-5619	189	3	v	v	ADP
ejpam-5619	189	4	ϵlηwθ(g(η	ϵlηwθ(g(η	PROPN
ejpam-5619	189	5	,	,	PUNCT
ejpam-5619	189	6	θ	θ	PROPN
ejpam-5619	189	7	)	)	PUNCT
ejpam-5619	189	8	.	.	PUNCT
ejpam-5619	190	1	proof	proof	NOUN
ejpam-5619	190	2	.	.	PUNCT
ejpam-5619	191	1	we	we	PRON
ejpam-5619	191	2	have	have	AUX
ejpam-5619	191	3	lηwθ(g(η	lηwθ(g(η	VERB
ejpam-5619	191	4	−	−	PROPN
ejpam-5619	191	5	u	u	PROPN
ejpam-5619	191	6	,	,	PUNCT
ejpam-5619	191	7	θ	θ	PROPN
ejpam-5619	191	8	−	−	PROPN
ejpam-5619	191	9	v)h(η	v)h(η	VERB
ejpam-5619	191	10	−	−	PROPN
ejpam-5619	191	11	u	u	PROPN
ejpam-5619	191	12	,	,	PUNCT
ejpam-5619	191	13	θ	θ	PROPN
ejpam-5619	191	14	−	−	PROPN
ejpam-5619	191	15	v	v	NOUN
ejpam-5619	191	16	)	)	PUNCT
ejpam-5619	191	17	)	)	PUNCT
ejpam-5619	191	18	(	(	PUNCT
ejpam-5619	191	19	16	16	NUM
ejpam-5619	191	20	)	)	PUNCT
ejpam-5619	191	21	=	=	SYM
ejpam-5619	191	22	1	1	NUM
ejpam-5619	191	23	ϵ2	ϵ2	PROPN
ejpam-5619	191	24	∞∫	∞∫	PROPN
ejpam-5619	191	25	0	0	NUM
ejpam-5619	192	1	∞∫	∞∫	PROPN
ejpam-5619	192	2	0	0	NUM
ejpam-5619	193	1	e−δη−	e−δη−	PROPN
ejpam-5619	193	2	θ	θ	PROPN
ejpam-5619	193	3	ϵ	ϵ	X
ejpam-5619	194	1	g(η	g(η	VERB
ejpam-5619	194	2	−	−	PROPN
ejpam-5619	194	3	u	u	NOUN
ejpam-5619	194	4	,	,	PUNCT
ejpam-5619	194	5	θ	θ	PROPN
ejpam-5619	194	6	−	−	PROPN
ejpam-5619	194	7	v)h(η	v)h(η	VERB
ejpam-5619	194	8	−	−	PROPN
ejpam-5619	194	9	u	u	PROPN
ejpam-5619	194	10	,	,	PUNCT
ejpam-5619	194	11	θ	θ	PROPN
ejpam-5619	194	12	−	−	NOUN
ejpam-5619	194	13	v)dηdθ	v)dηdθ	NOUN
ejpam-5619	194	14	=	=	SYM
ejpam-5619	194	15	1	1	NUM
ejpam-5619	194	16	ϵ2	ϵ2	PROPN
ejpam-5619	194	17	∞∫	∞∫	PROPN
ejpam-5619	194	18	u	u	PROPN
ejpam-5619	194	19	∞∫	∞∫	PROPN
ejpam-5619	194	20	v	v	ADP
ejpam-5619	194	21	e−δη−	e−δη−	PROPN
ejpam-5619	194	22	θ	θ	PROPN
ejpam-5619	194	23	ϵ	ϵ	X
ejpam-5619	195	1	g(η	g(η	VERB
ejpam-5619	195	2	−	−	PROPN
ejpam-5619	195	3	u	u	NOUN
ejpam-5619	195	4	,	,	PUNCT
ejpam-5619	195	5	θ	θ	PROPN
ejpam-5619	195	6	−	−	NOUN
ejpam-5619	195	7	v)dηdθ	v)dηdθ	PROPN
ejpam-5619	195	8	.	.	PUNCT
ejpam-5619	196	1	now	now	ADV
ejpam-5619	196	2	,	,	PUNCT
ejpam-5619	196	3	by	by	ADP
ejpam-5619	196	4	making	make	VERB
ejpam-5619	196	5	the	the	DET
ejpam-5619	196	6	substitution	substitution	NOUN
ejpam-5619	196	7	z	z	NOUN
ejpam-5619	196	8	=	=	SYM
ejpam-5619	196	9	η	η	PROPN
ejpam-5619	196	10	−	−	PROPN
ejpam-5619	196	11	u	u	PROPN
ejpam-5619	196	12	and	and	CCONJ
ejpam-5619	196	13	w	w	NOUN
ejpam-5619	196	14	=	=	SYM
ejpam-5619	196	15	θ	θ	PROPN
ejpam-5619	196	16	−	−	PROPN
ejpam-5619	196	17	v	v	NOUN
ejpam-5619	196	18	,	,	PUNCT
ejpam-5619	196	19	equation	equation	NOUN
ejpam-5619	196	20	16	16	NUM
ejpam-5619	196	21	becomes	become	VERB
ejpam-5619	196	22	:	:	PUNCT
ejpam-5619	196	23	lηwθ(g(η	lηwθ(g(η	NOUN
ejpam-5619	196	24	−	−	PROPN
ejpam-5619	196	25	u	u	PROPN
ejpam-5619	196	26	,	,	PUNCT
ejpam-5619	196	27	θ	θ	PROPN
ejpam-5619	196	28	−	−	PROPN
ejpam-5619	196	29	v)h(η	v)h(η	VERB
ejpam-5619	196	30	−	−	PROPN
ejpam-5619	196	31	u	u	PROPN
ejpam-5619	196	32	,	,	PUNCT
ejpam-5619	196	33	θ	θ	PROPN
ejpam-5619	196	34	−	−	PROPN
ejpam-5619	196	35	v	v	NOUN
ejpam-5619	196	36	)	)	PUNCT
ejpam-5619	196	37	)	)	PUNCT
ejpam-5619	197	1	=	=	SYM
ejpam-5619	197	2	1	1	NUM
ejpam-5619	197	3	ϵ2	ϵ2	PROPN
ejpam-5619	197	4	∞∫	∞∫	PROPN
ejpam-5619	197	5	0	0	NUM
ejpam-5619	198	1	∞∫	∞∫	NOUN
ejpam-5619	198	2	0	0	NUM
ejpam-5619	198	3	e−δ(z+u)−	e−δ(z+u)−	NOUN
ejpam-5619	198	4	(	(	PUNCT
ejpam-5619	198	5	w+v	w+v	NOUN
ejpam-5619	198	6	)	)	PUNCT
ejpam-5619	199	1	ϵ	ϵ	ADP
ejpam-5619	199	2	g(z	g(z	ADJ
ejpam-5619	199	3	,	,	PUNCT
ejpam-5619	199	4	w)dzdw	w)dzdw	ADJ
ejpam-5619	199	5	=	=	SYM
ejpam-5619	199	6	e−δu−	e−δu−	NOUN
ejpam-5619	199	7	v	v	ADP
ejpam-5619	199	8	ϵlηwθ(g(η	ϵlηwθ(g(η	PROPN
ejpam-5619	199	9	,	,	PUNCT
ejpam-5619	199	10	θ	θ	NOUN
ejpam-5619	199	11	)	)	PUNCT
ejpam-5619	199	12	)	)	PUNCT
ejpam-5619	199	13	.	.	PUNCT
ejpam-5619	200	1	definition	definition	NOUN
ejpam-5619	200	2	4	4	NUM
ejpam-5619	200	3	.	.	PUNCT
ejpam-5619	201	1	let	let	AUX
ejpam-5619	201	2	g(η	g(η	VERB
ejpam-5619	201	3	,	,	PUNCT
ejpam-5619	201	4	θ	θ	NOUN
ejpam-5619	201	5	)	)	PUNCT
ejpam-5619	201	6	and	and	CCONJ
ejpam-5619	201	7	k(η	k(η	PROPN
ejpam-5619	201	8	,	,	PUNCT
ejpam-5619	201	9	θ	θ	NOUN
ejpam-5619	201	10	)	)	PUNCT
ejpam-5619	201	11	be	be	AUX
ejpam-5619	201	12	continuous	continuous	ADJ
ejpam-5619	201	13	functions	function	NOUN
ejpam-5619	201	14	.	.	PUNCT
ejpam-5619	202	1	we	we	PRON
ejpam-5619	202	2	define	define	VERB
ejpam-5619	202	3	the	the	DET
ejpam-5619	202	4	convolution	convolution	NOUN
ejpam-5619	202	5	in	in	ADP
ejpam-5619	202	6	the	the	DET
ejpam-5619	202	7	dlswt	dlswt	NOUN
ejpam-5619	202	8	as	as	ADP
ejpam-5619	202	9	(	(	PUNCT
ejpam-5619	202	10	g	g	PROPN
ejpam-5619	202	11	∗	∗	NOUN
ejpam-5619	202	12	∗k)(η	∗k)(η	NOUN
ejpam-5619	202	13	,	,	PUNCT
ejpam-5619	202	14	θ	θ	NOUN
ejpam-5619	202	15	)	)	PUNCT
ejpam-5619	202	16	=	=	PUNCT
ejpam-5619	202	17	η∫	η∫	ADJ
ejpam-5619	202	18	0	0	NUM
ejpam-5619	203	1	θ∫	θ∫	NOUN
ejpam-5619	203	2	0	0	NUM
ejpam-5619	204	1	g(η	g(η	VERB
ejpam-5619	204	2	−	−	PROPN
ejpam-5619	204	3	u	u	PROPN
ejpam-5619	204	4	,	,	PUNCT
ejpam-5619	204	5	θ	θ	PROPN
ejpam-5619	204	6	−	−	PROPN
ejpam-5619	204	7	v)k(u	v)k(u	NOUN
ejpam-5619	204	8	,	,	PUNCT
ejpam-5619	204	9	v)dudv	v)dudv	NOUN
ejpam-5619	204	10	.	.	PUNCT
ejpam-5619	205	1	in	in	ADP
ejpam-5619	205	2	the	the	DET
ejpam-5619	205	3	following	following	NOUN
ejpam-5619	205	4	theorem	theorem	NOUN
ejpam-5619	205	5	,	,	PUNCT
ejpam-5619	205	6	we	we	PRON
ejpam-5619	205	7	compute	compute	VERB
ejpam-5619	205	8	dlswt	dlswt	NOUN
ejpam-5619	205	9	of	of	ADP
ejpam-5619	205	10	the	the	DET
ejpam-5619	205	11	convolution	convolution	NOUN
ejpam-5619	205	12	of	of	ADP
ejpam-5619	205	13	two	two	NUM
ejpam-5619	205	14	functions	function	NOUN
ejpam-5619	205	15	theorem	theorem	VERB
ejpam-5619	205	16	2	2	NUM
ejpam-5619	205	17	.	.	PUNCT
ejpam-5619	206	1	let	let	VERB
ejpam-5619	206	2	g(δ	g(δ	PROPN
ejpam-5619	206	3	,	,	PUNCT
ejpam-5619	206	4	ϵ	ϵ	X
ejpam-5619	206	5	)	)	PUNCT
ejpam-5619	206	6	=	=	SYM
ejpam-5619	206	7	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	206	8	,	,	PUNCT
ejpam-5619	206	9	θ	θ	NOUN
ejpam-5619	206	10	)	)	PUNCT
ejpam-5619	206	11	)	)	PUNCT
ejpam-5619	206	12	and	and	CCONJ
ejpam-5619	206	13	k(δ	k(δ	PROPN
ejpam-5619	206	14	,	,	PUNCT
ejpam-5619	206	15	ϵ	ϵ	X
ejpam-5619	206	16	)	)	PUNCT
ejpam-5619	206	17	=	=	SYM
ejpam-5619	207	1	lηwθ(k(η	lηwθ(k(η	PROPN
ejpam-5619	207	2	,	,	PUNCT
ejpam-5619	207	3	θ	θ	NOUN
ejpam-5619	207	4	)	)	PUNCT
ejpam-5619	207	5	)	)	PUNCT
ejpam-5619	207	6	.	.	PUNCT
ejpam-5619	208	1	then	then	ADV
ejpam-5619	208	2	lηwθ((g	lηwθ((g	ADJ
ejpam-5619	208	3	∗	∗	NOUN
ejpam-5619	208	4	∗k)(η	∗k)(η	NOUN
ejpam-5619	208	5	,	,	PUNCT
ejpam-5619	208	6	θ	θ	NOUN
ejpam-5619	208	7	)	)	PUNCT
ejpam-5619	208	8	)	)	PUNCT
ejpam-5619	209	1	=	=	SYM
ejpam-5619	209	2	ϵ2g(δ	ϵ2g(δ	PROPN
ejpam-5619	209	3	,	,	PUNCT
ejpam-5619	209	4	ϵ)k(δ	ϵ)k(δ	NUM
ejpam-5619	209	5	,	,	PUNCT
ejpam-5619	209	6	ϵ	ϵ	X
ejpam-5619	209	7	)	)	PUNCT
ejpam-5619	209	8	.	.	PUNCT
ejpam-5619	210	1	m.	m.	PROPN
ejpam-5619	210	2	al	al	PROPN
ejpam-5619	210	3	-	-	PUNCT
ejpam-5619	210	4	momani	momani	PROPN
ejpam-5619	210	5	,	,	PUNCT
ejpam-5619	210	6	a.	a.	NOUN
ejpam-5619	210	7	jaradat	jaradat	PROPN
ejpam-5619	210	8	,	,	PUNCT
ejpam-5619	210	9	b.	b.	PROPN
ejpam-5619	210	10	abughazaleh	abughazaleh	PROPN
ejpam-5619	210	11	/	/	SYM
ejpam-5619	210	12	eur	eur	PROPN
ejpam-5619	210	13	.	.	PUNCT
ejpam-5619	211	1	j.	j.	PROPN
ejpam-5619	211	2	pure	pure	PROPN
ejpam-5619	211	3	appl	appl	PROPN
ejpam-5619	211	4	.	.	PROPN
ejpam-5619	211	5	math	math	PROPN
ejpam-5619	211	6	,	,	PUNCT
ejpam-5619	211	7	18	18	NUM
ejpam-5619	211	8	(	(	PUNCT
ejpam-5619	211	9	1	1	NUM
ejpam-5619	211	10	)	)	PUNCT
ejpam-5619	211	11	(	(	PUNCT
ejpam-5619	211	12	2025	2025	NUM
ejpam-5619	211	13	)	)	PUNCT
ejpam-5619	211	14	,	,	PUNCT
ejpam-5619	211	15	5619	5619	NUM
ejpam-5619	211	16	9	9	NUM
ejpam-5619	211	17	of	of	ADP
ejpam-5619	211	18	19	19	NUM
ejpam-5619	211	19	proof	proof	NOUN
ejpam-5619	211	20	.	.	PUNCT
ejpam-5619	212	1	lηwθ((g∗∗k)(η	lηwθ((g∗∗k)(η	PROPN
ejpam-5619	212	2	,	,	PUNCT
ejpam-5619	212	3	θ	θ	NOUN
ejpam-5619	212	4	)	)	PUNCT
ejpam-5619	212	5	)	)	PUNCT
ejpam-5619	213	1	=	=	SYM
ejpam-5619	213	2	1	1	NUM
ejpam-5619	213	3	ϵ2	ϵ2	PROPN
ejpam-5619	213	4	∞∫	∞∫	PROPN
ejpam-5619	213	5	0	0	NUM
ejpam-5619	214	1	∞∫	∞∫	PROPN
ejpam-5619	214	2	0	0	NUM
ejpam-5619	215	1	e−δη−	e−δη−	PROPN
ejpam-5619	215	2	θ	θ	X
ejpam-5619	215	3	ϵ	ϵ	X
ejpam-5619	215	4	(	(	PUNCT
ejpam-5619	215	5	g	g	PROPN
ejpam-5619	215	6	∗	∗	NOUN
ejpam-5619	215	7	∗k)(η	∗k)(η	NOUN
ejpam-5619	215	8	,	,	PUNCT
ejpam-5619	215	9	θ)dηdθ	θ)dηdθ	PUNCT
ejpam-5619	215	10	=	=	SYM
ejpam-5619	215	11	1	1	NUM
ejpam-5619	215	12	ϵ2	ϵ2	PROPN
ejpam-5619	215	13	∞∫	∞∫	PROPN
ejpam-5619	215	14	0	0	NUM
ejpam-5619	215	15	∞∫	∞∫	PROPN
ejpam-5619	215	16	0	0	NUM
ejpam-5619	216	1	e−δη−	e−δη−	PROPN
ejpam-5619	216	2	θ	θ	PROPN
ejpam-5619	216	3	ϵ	ϵ	X
ejpam-5619	216	4			PROPN
ejpam-5619	216	5	η∫	η∫	ADJ
ejpam-5619	216	6	0	0	NUM
ejpam-5619	216	7	θ∫	θ∫	NOUN
ejpam-5619	216	8	0	0	NUM
ejpam-5619	216	9	g(η	g(η	VERB
ejpam-5619	216	10	−	−	PROPN
ejpam-5619	216	11	u	u	PROPN
ejpam-5619	216	12	,	,	PUNCT
ejpam-5619	216	13	θ	θ	PROPN
ejpam-5619	216	14	−	−	PROPN
ejpam-5619	216	15	v)k(u	v)k(u	ADJ
ejpam-5619	216	16	,	,	PUNCT
ejpam-5619	216	17	v)dudv	v)dudv	NOUN
ejpam-5619	216	18			PROPN
ejpam-5619	216	19	dηdθ	dηdθ	NOUN
ejpam-5619	216	20	.	.	PUNCT
ejpam-5619	217	1	(	(	PUNCT
ejpam-5619	217	2	17	17	NUM
ejpam-5619	217	3	)	)	PUNCT
ejpam-5619	217	4	using	use	VERB
ejpam-5619	217	5	the	the	DET
ejpam-5619	217	6	heaviside	heaviside	ADJ
ejpam-5619	217	7	unit	unit	NOUN
ejpam-5619	217	8	step	step	NOUN
ejpam-5619	217	9	function	function	NOUN
ejpam-5619	217	10	,	,	PUNCT
ejpam-5619	217	11	we	we	PRON
ejpam-5619	217	12	can	can	AUX
ejpam-5619	217	13	write	write	VERB
ejpam-5619	217	14	equation	equation	NOUN
ejpam-5619	217	15	17	17	NUM
ejpam-5619	217	16	as	as	ADP
ejpam-5619	217	17	lηwθ((g∗∗g)(η	lηwθ((g∗∗g)(η	NOUN
ejpam-5619	217	18	,	,	PUNCT
ejpam-5619	217	19	θ	θ	NOUN
ejpam-5619	217	20	)	)	PUNCT
ejpam-5619	217	21	)	)	PUNCT
ejpam-5619	218	1	=	=	SYM
ejpam-5619	218	2	1	1	NUM
ejpam-5619	218	3	ϵ2	ϵ2	PROPN
ejpam-5619	218	4	∞∫	∞∫	PROPN
ejpam-5619	218	5	0	0	NUM
ejpam-5619	219	1	∞∫	∞∫	PROPN
ejpam-5619	219	2	0	0	NUM
ejpam-5619	220	1	e−δη−	e−δη−	PROPN
ejpam-5619	220	2	θ	θ	PROPN
ejpam-5619	220	3	ϵ	ϵ	X
ejpam-5619	220	4	∞∫	∞∫	NOUN
ejpam-5619	220	5	0	0	NUM
ejpam-5619	221	1	∞∫	∞∫	NOUN
ejpam-5619	221	2	0	0	PUNCT
ejpam-5619	222	1	g(η	g(η	VERB
ejpam-5619	222	2	−	−	PROPN
ejpam-5619	222	3	u	u	PROPN
ejpam-5619	222	4	,	,	PUNCT
ejpam-5619	222	5	θ	θ	PROPN
ejpam-5619	222	6	−	−	PROPN
ejpam-5619	222	7	v)h(η	v)h(η	VERB
ejpam-5619	222	8	−	−	PROPN
ejpam-5619	222	9	u	u	PROPN
ejpam-5619	222	10	,	,	PUNCT
ejpam-5619	222	11	θ	θ	PROPN
ejpam-5619	222	12	−	−	PROPN
ejpam-5619	222	13	v)k(u	v)k(u	NOUN
ejpam-5619	222	14	,	,	PUNCT
ejpam-5619	222	15	v))dudv	v))dudv	ADJ
ejpam-5619	222	16			PROPN
ejpam-5619	222	17	dηdθ	dηdθ	NOUN
ejpam-5619	222	18	=	=	PUNCT
ejpam-5619	222	19	∞∫	∞∫	PROPN
ejpam-5619	222	20	0	0	NUM
ejpam-5619	223	1	∞∫	∞∫	PROPN
ejpam-5619	223	2	0	0	NUM
ejpam-5619	224	1	k(u	k(u	X
ejpam-5619	224	2	,	,	PUNCT
ejpam-5619	224	3	v	v	NOUN
ejpam-5619	224	4	)	)	PUNCT
ejpam-5619	224	5			PROPN
ejpam-5619	224	6	1	1	NUM
ejpam-5619	224	7	ϵ2	ϵ2	PROPN
ejpam-5619	224	8	∞∫	∞∫	PROPN
ejpam-5619	224	9	0	0	NUM
ejpam-5619	224	10	∞∫	∞∫	PROPN
ejpam-5619	224	11	0	0	NUM
ejpam-5619	225	1	e−δη−	e−δη−	PROPN
ejpam-5619	225	2	θ	θ	PROPN
ejpam-5619	225	3	ϵ	ϵ	X
ejpam-5619	226	1	g(η	g(η	VERB
ejpam-5619	226	2	−	−	PROPN
ejpam-5619	226	3	u	u	NOUN
ejpam-5619	226	4	,	,	PUNCT
ejpam-5619	226	5	θ	θ	PROPN
ejpam-5619	226	6	−	−	PROPN
ejpam-5619	226	7	v)h(η	v)h(η	VERB
ejpam-5619	226	8	−	−	PROPN
ejpam-5619	226	9	u	u	PROPN
ejpam-5619	226	10	,	,	PUNCT
ejpam-5619	226	11	θ	θ	PROPN
ejpam-5619	226	12	−	−	NOUN
ejpam-5619	226	13	v)dηdθ	v)dηdθ	NOUN
ejpam-5619	226	14			PROPN
ejpam-5619	226	15	dudv	dudv	NOUN
ejpam-5619	226	16	.	.	PUNCT
ejpam-5619	227	1	so	so	ADV
ejpam-5619	227	2	by	by	ADP
ejpam-5619	227	3	lemma	lemma	PROPN
ejpam-5619	227	4	1	1	NUM
ejpam-5619	227	5	,	,	PUNCT
ejpam-5619	227	6	we	we	PRON
ejpam-5619	227	7	have	have	VERB
ejpam-5619	227	8	lηwθ((g	lηwθ((g	ADJ
ejpam-5619	227	9	∗	∗	NOUN
ejpam-5619	227	10	∗k)(η	∗k)(η	NOUN
ejpam-5619	227	11	,	,	PUNCT
ejpam-5619	227	12	θ	θ	NOUN
ejpam-5619	227	13	)	)	PUNCT
ejpam-5619	227	14	)	)	PUNCT
ejpam-5619	228	1	=	=	SYM
ejpam-5619	228	2	g(δ	g(δ	PROPN
ejpam-5619	228	3	,	,	PUNCT
ejpam-5619	228	4	ϵ	ϵ	NOUN
ejpam-5619	228	5	)	)	PUNCT
ejpam-5619	228	6	∞∫	∞∫	NOUN
ejpam-5619	228	7	0	0	NUM
ejpam-5619	228	8	∞∫	∞∫	PROPN
ejpam-5619	228	9	0	0	NUM
ejpam-5619	228	10	k(u	k(u	X
ejpam-5619	228	11	,	,	PUNCT
ejpam-5619	228	12	v)e−δu−	v)e−δu−	VERB
ejpam-5619	228	13	v	v	ADP
ejpam-5619	228	14	ϵ	ϵ	X
ejpam-5619	228	15	dudv	dudv	NOUN
ejpam-5619	228	16	=	=	PUNCT
ejpam-5619	228	17	ϵ2g(δ	ϵ2g(δ	PROPN
ejpam-5619	228	18	,	,	PUNCT
ejpam-5619	228	19	ϵ)k(δ	ϵ)k(δ	NUM
ejpam-5619	228	20	,	,	PUNCT
ejpam-5619	228	21	ϵ	ϵ	NOUN
ejpam-5619	228	22	)	)	PUNCT
ejpam-5619	228	23	.	.	PUNCT
ejpam-5619	229	1	in	in	ADP
ejpam-5619	229	2	table	table	NOUN
ejpam-5619	229	3	1	1	NUM
ejpam-5619	229	4	,	,	PUNCT
ejpam-5619	229	5	we	we	PRON
ejpam-5619	229	6	have	have	VERB
ejpam-5619	229	7	the	the	DET
ejpam-5619	229	8	daht	daht	NOUN
ejpam-5619	229	9	of	of	ADP
ejpam-5619	229	10	some	some	DET
ejpam-5619	229	11	basic	basic	ADJ
ejpam-5619	229	12	functions	function	NOUN
ejpam-5619	229	13	.	.	PUNCT
ejpam-5619	230	1	table	table	NOUN
ejpam-5619	230	2	1	1	NUM
ejpam-5619	230	3	:	:	PUNCT
ejpam-5619	230	4	table	table	NOUN
ejpam-5619	230	5	of	of	ADP
ejpam-5619	230	6	daht	daht	PROPN
ejpam-5619	230	7	g(η	g(η	PROPN
ejpam-5619	230	8	,	,	PUNCT
ejpam-5619	230	9	θ	θ	PROPN
ejpam-5619	230	10	)	)	PUNCT
ejpam-5619	230	11	lηwθ(g(η	lηwθ(g(η	PROPN
ejpam-5619	230	12	,	,	PUNCT
ejpam-5619	230	13	θ	θ	PROPN
ejpam-5619	230	14	)	)	PUNCT
ejpam-5619	230	15	)	)	PUNCT
ejpam-5619	230	16	1	1	NUM
ejpam-5619	230	17	1	1	NUM
ejpam-5619	230	18	δϵ	δϵ	NOUN
ejpam-5619	230	19	,	,	PUNCT
ejpam-5619	230	20	re(δ	re(δ	NOUN
ejpam-5619	230	21	)	)	PUNCT
ejpam-5619	230	22	>	>	X
ejpam-5619	230	23	0	0	NUM
ejpam-5619	231	1	ηuθv	ηuθv	NOUN
ejpam-5619	231	2	ϵv−1	ϵv−1	PROPN
ejpam-5619	231	3	δu+1γ(u+	δu+1γ(u+	NOUN
ejpam-5619	231	4	1)γ(v	1)γ(v	NUM
ejpam-5619	231	5	+	+	CCONJ
ejpam-5619	231	6	1	1	NUM
ejpam-5619	231	7	)	)	PUNCT
ejpam-5619	231	8	,	,	PUNCT
ejpam-5619	231	9	re(δ	re(δ	NOUN
ejpam-5619	231	10	)	)	PUNCT
ejpam-5619	231	11	>	>	X
ejpam-5619	231	12	0	0	PUNCT
ejpam-5619	231	13	and	and	CCONJ
ejpam-5619	231	14	re(u	re(u	PUNCT
ejpam-5619	231	15	)	)	PUNCT
ejpam-5619	231	16	>	>	X
ejpam-5619	231	17	−1	−1	NOUN
ejpam-5619	232	1	euη+vθ	euη+vθ	ADP
ejpam-5619	232	2	1	1	NUM
ejpam-5619	232	3	ϵ(δ−u)(1−vϵ	ϵ(δ−u)(1−vϵ	NOUN
ejpam-5619	232	4	)	)	PUNCT
ejpam-5619	232	5	,	,	PUNCT
ejpam-5619	232	6	re(δ	re(δ	NOUN
ejpam-5619	232	7	)	)	PUNCT
ejpam-5619	232	8	>	>	X
ejpam-5619	232	9	re(u	re(u	SYM
ejpam-5619	232	10	)	)	PUNCT
ejpam-5619	232	11	ei(uη+vθ	ei(uη+vθ	NOUN
ejpam-5619	232	12	)	)	PUNCT
ejpam-5619	232	13	i	i	PRON
ejpam-5619	232	14	ϵ(δ−iu)(i+vϵ	ϵ(δ−iu)(i+vϵ	VERB
ejpam-5619	232	15	)	)	PUNCT
ejpam-5619	232	16	,	,	PUNCT
ejpam-5619	232	17	im(u	im(u	X
ejpam-5619	232	18	)	)	PUNCT
ejpam-5619	233	1	+	+	CCONJ
ejpam-5619	233	2	re(δ	re(δ	NOUN
ejpam-5619	233	3	)	)	PUNCT
ejpam-5619	233	4	>	>	SYM
ejpam-5619	233	5	0	0	NUM
ejpam-5619	233	6	sin	sin	NOUN
ejpam-5619	233	7	(	(	PUNCT
ejpam-5619	233	8	uη	uη	ADJ
ejpam-5619	233	9	+	+	CCONJ
ejpam-5619	233	10	vθ	vθ	NOUN
ejpam-5619	233	11	)	)	PUNCT
ejpam-5619	233	12	u+δϵv	u+δϵv	NOUN
ejpam-5619	233	13	ϵ(δ2+u2)(1+v2ϵ2	ϵ(δ2+u2)(1+v2ϵ2	NOUN
ejpam-5619	233	14	)	)	PUNCT
ejpam-5619	233	15	,	,	PUNCT
ejpam-5619	233	16	|im(u)|	|im(u)|	PROPN
ejpam-5619	233	17	<	<	X
ejpam-5619	233	18	re(δ	re(δ	PROPN
ejpam-5619	233	19	)	)	PUNCT
ejpam-5619	233	20	cos	cos	PROPN
ejpam-5619	233	21	(	(	PUNCT
ejpam-5619	233	22	uη	uη	ADJ
ejpam-5619	233	23	+	+	CCONJ
ejpam-5619	233	24	vθ	vθ	NOUN
ejpam-5619	233	25	)	)	PUNCT
ejpam-5619	233	26	δ−ϵuv	δ−ϵuv	ADJ
ejpam-5619	233	27	ϵ(δ2+u2)(1+v2ϵ2	ϵ(δ2+u2)(1+v2ϵ2	NOUN
ejpam-5619	233	28	)	)	PUNCT
ejpam-5619	233	29	,	,	PUNCT
ejpam-5619	233	30	|im(u)|	|im(u)|	PROPN
ejpam-5619	233	31	<	<	X
ejpam-5619	233	32	re(δ	re(δ	PROPN
ejpam-5619	233	33	)	)	PUNCT
ejpam-5619	233	34	sinh	sinh	NOUN
ejpam-5619	233	35	(	(	PUNCT
ejpam-5619	233	36	uη	uη	ADJ
ejpam-5619	233	37	+	+	CCONJ
ejpam-5619	233	38	vθ	vθ	NOUN
ejpam-5619	233	39	)	)	PUNCT
ejpam-5619	233	40	u+δϵv	u+δϵv	NOUN
ejpam-5619	233	41	ϵ(δ2−u2)(1−v2ϵ2	ϵ(δ2−u2)(1−v2ϵ2	PROPN
ejpam-5619	233	42	)	)	PUNCT
ejpam-5619	233	43	,	,	PUNCT
ejpam-5619	233	44	re(δ	re(δ	NOUN
ejpam-5619	233	45	)	)	PUNCT
ejpam-5619	233	46	>	>	X
ejpam-5619	233	47	re(u	re(u	PROPN
ejpam-5619	233	48	)	)	PUNCT
ejpam-5619	233	49	and	and	CCONJ
ejpam-5619	233	50	re(δ	re(δ	NOUN
ejpam-5619	233	51	)	)	PUNCT
ejpam-5619	233	52	+	+	NUM
ejpam-5619	233	53	re(u	re(u	X
ejpam-5619	233	54	)	)	PUNCT
ejpam-5619	233	55	>	>	SYM
ejpam-5619	233	56	0	0	NUM
ejpam-5619	234	1	cosh	cosh	NOUN
ejpam-5619	234	2	(	(	PUNCT
ejpam-5619	234	3	uη	uη	ADJ
ejpam-5619	234	4	+	+	CCONJ
ejpam-5619	234	5	vθ	vθ	NOUN
ejpam-5619	234	6	)	)	PUNCT
ejpam-5619	234	7	δ+ϵuv	δ+ϵuv	ADV
ejpam-5619	234	8	ϵ(δ2−u2)(1−v2ϵ2	ϵ(δ2−u2)(1−v2ϵ2	PROPN
ejpam-5619	234	9	)	)	PUNCT
ejpam-5619	234	10	,	,	PUNCT
ejpam-5619	234	11	re(δ	re(δ	NOUN
ejpam-5619	234	12	)	)	PUNCT
ejpam-5619	234	13	>	>	X
ejpam-5619	234	14	re(u	re(u	PROPN
ejpam-5619	234	15	)	)	PUNCT
ejpam-5619	234	16	and	and	CCONJ
ejpam-5619	234	17	re(δ	re(δ	NOUN
ejpam-5619	234	18	)	)	PUNCT
ejpam-5619	234	19	+	+	NUM
ejpam-5619	234	20	re(u	re(u	X
ejpam-5619	234	21	)	)	PUNCT
ejpam-5619	234	22	>	>	X
ejpam-5619	234	23	0	0	NUM
ejpam-5619	234	24	p(η)q(θ	p(η)q(θ	NOUN
ejpam-5619	234	25	)	)	PUNCT
ejpam-5619	234	26	l(p(η))w	l(p(η))w	NOUN
ejpam-5619	234	27	(	(	PUNCT
ejpam-5619	234	28	q(θ	q(θ	NUM
ejpam-5619	234	29	)	)	PUNCT
ejpam-5619	234	30	)	)	PUNCT
ejpam-5619	235	1	g(η	g(η	VERB
ejpam-5619	235	2	−	−	PROPN
ejpam-5619	235	3	u	u	NOUN
ejpam-5619	235	4	,	,	PUNCT
ejpam-5619	235	5	θ	θ	PROPN
ejpam-5619	235	6	−	−	PROPN
ejpam-5619	235	7	v)h(η	v)h(η	VERB
ejpam-5619	235	8	−	−	PROPN
ejpam-5619	235	9	u	u	PROPN
ejpam-5619	235	10	,	,	PUNCT
ejpam-5619	235	11	θ	θ	PROPN
ejpam-5619	235	12	−	−	PROPN
ejpam-5619	235	13	v	v	NOUN
ejpam-5619	235	14	)	)	PUNCT
ejpam-5619	235	15	e−δu−	e−δu−	PROPN
ejpam-5619	235	16	v	v	ADP
ejpam-5619	235	17	ϵlηwθ(g(η	ϵlηwθ(g(η	PROPN
ejpam-5619	235	18	,	,	PUNCT
ejpam-5619	235	19	θ	θ	PROPN
ejpam-5619	235	20	)	)	PUNCT
ejpam-5619	235	21	(	(	PUNCT
ejpam-5619	235	22	g	g	PROPN
ejpam-5619	235	23	∗	∗	NOUN
ejpam-5619	235	24	∗k)(η	∗k)(η	NOUN
ejpam-5619	235	25	,	,	PUNCT
ejpam-5619	235	26	θ	θ	PROPN
ejpam-5619	235	27	)	)	PUNCT
ejpam-5619	235	28	ϵ2lηwθ(g(η	ϵ2lηwθ(g(η	NUM
ejpam-5619	235	29	,	,	PUNCT
ejpam-5619	235	30	θ))lηwθ(k(η	θ))lηwθ(k(η	PROPN
ejpam-5619	235	31	,	,	PUNCT
ejpam-5619	235	32	θ	θ	NOUN
ejpam-5619	235	33	)	)	PUNCT
ejpam-5619	235	34	)	)	PUNCT
ejpam-5619	236	1	j0	j0	PROPN
ejpam-5619	236	2	(	(	PUNCT
ejpam-5619	236	3	c	c	NOUN
ejpam-5619	236	4	√	√	PROPN
ejpam-5619	236	5	ηθ	ηθ	ADP
ejpam-5619	236	6	)	)	PUNCT
ejpam-5619	236	7	4	4	NUM
ejpam-5619	236	8	ϵ(4δ+c2ϵ	ϵ(4δ+c2ϵ	NUM
ejpam-5619	236	9	)	)	PUNCT
ejpam-5619	236	10	,	,	PUNCT
ejpam-5619	236	11	re	re	X
ejpam-5619	236	12	(	(	PUNCT
ejpam-5619	236	13	δ	δ	PROPN
ejpam-5619	236	14	+	+	X
ejpam-5619	236	15	c2ϵ	c2ϵ	NOUN
ejpam-5619	236	16	4	4	NUM
ejpam-5619	236	17	)	)	PUNCT
ejpam-5619	236	18	>	>	X
ejpam-5619	236	19	0	0	NUM
ejpam-5619	236	20	m.	m.	NOUN
ejpam-5619	236	21	al	al	PROPN
ejpam-5619	236	22	-	-	PUNCT
ejpam-5619	236	23	momani	momani	PROPN
ejpam-5619	236	24	,	,	PUNCT
ejpam-5619	236	25	a.	a.	NOUN
ejpam-5619	236	26	jaradat	jaradat	PROPN
ejpam-5619	236	27	,	,	PUNCT
ejpam-5619	236	28	b.	b.	PROPN
ejpam-5619	236	29	abughazaleh	abughazaleh	PROPN
ejpam-5619	236	30	/	/	SYM
ejpam-5619	236	31	eur	eur	PROPN
ejpam-5619	236	32	.	.	PUNCT
ejpam-5619	237	1	j.	j.	PROPN
ejpam-5619	237	2	pure	pure	PROPN
ejpam-5619	237	3	appl	appl	PROPN
ejpam-5619	237	4	.	.	PROPN
ejpam-5619	237	5	math	math	PROPN
ejpam-5619	237	6	,	,	PUNCT
ejpam-5619	237	7	18	18	NUM
ejpam-5619	237	8	(	(	PUNCT
ejpam-5619	237	9	1	1	NUM
ejpam-5619	237	10	)	)	PUNCT
ejpam-5619	237	11	(	(	PUNCT
ejpam-5619	237	12	2025	2025	NUM
ejpam-5619	237	13	)	)	PUNCT
ejpam-5619	237	14	,	,	PUNCT
ejpam-5619	237	15	5619	5619	NUM
ejpam-5619	237	16	10	10	NUM
ejpam-5619	237	17	of	of	ADP
ejpam-5619	237	18	19	19	NUM
ejpam-5619	237	19	4	4	NUM
ejpam-5619	237	20	.	.	PUNCT
ejpam-5619	238	1	applications	application	NOUN
ejpam-5619	238	2	in	in	ADP
ejpam-5619	238	3	this	this	DET
ejpam-5619	238	4	section	section	NOUN
ejpam-5619	238	5	,	,	PUNCT
ejpam-5619	238	6	we	we	PRON
ejpam-5619	238	7	use	use	VERB
ejpam-5619	238	8	the	the	DET
ejpam-5619	238	9	dlswt	dlswt	NOUN
ejpam-5619	238	10	for	for	ADP
ejpam-5619	238	11	solving	solve	VERB
ejpam-5619	238	12	pdes	pde	NOUN
ejpam-5619	238	13	and	and	CCONJ
ejpam-5619	238	14	integro	integro	ADJ
ejpam-5619	238	15	pdes	pde	NOUN
ejpam-5619	238	16	4.1	4.1	NUM
ejpam-5619	238	17	.	.	PUNCT
ejpam-5619	239	1	double	double	ADJ
ejpam-5619	239	2	laplace	laplace	NOUN
ejpam-5619	239	3	-	-	PUNCT
ejpam-5619	239	4	sawi	sawi	VERB
ejpam-5619	239	5	transform	transform	NOUN
ejpam-5619	239	6	for	for	ADP
ejpam-5619	239	7	solving	solve	VERB
ejpam-5619	239	8	partial	partial	ADJ
ejpam-5619	239	9	differential	differential	NOUN
ejpam-5619	239	10	equations	equation	NOUN
ejpam-5619	239	11	consider	consider	VERB
ejpam-5619	239	12	the	the	DET
ejpam-5619	239	13	pde	pde	NOUN
ejpam-5619	239	14	of	of	ADP
ejpam-5619	239	15	the	the	DET
ejpam-5619	239	16	form	form	NOUN
ejpam-5619	239	17	a1gηη	a1gηη	ADP
ejpam-5619	239	18	+	+	ADJ
ejpam-5619	239	19	a2gηθ	a2gηθ	PROPN
ejpam-5619	239	20	+	+	ADJ
ejpam-5619	239	21	a3gθθ	a3gθθ	ADJ
ejpam-5619	239	22	+	+	NOUN
ejpam-5619	239	23	a4gη	a4gη	ADP
ejpam-5619	239	24	+	+	ADJ
ejpam-5619	239	25	a5gθ	a5gθ	X
ejpam-5619	239	26	+	+	ADJ
ejpam-5619	239	27	a6	a6	ADJ
ejpam-5619	239	28	g	g	NOUN
ejpam-5619	239	29	(	(	PUNCT
ejpam-5619	239	30	η	η	PROPN
ejpam-5619	239	31	,	,	PUNCT
ejpam-5619	239	32	θ	θ	NOUN
ejpam-5619	239	33	)	)	PUNCT
ejpam-5619	239	34	=	=	SYM
ejpam-5619	239	35	k	k	PROPN
ejpam-5619	239	36	(	(	PUNCT
ejpam-5619	239	37	η	η	PROPN
ejpam-5619	239	38	,	,	PUNCT
ejpam-5619	239	39	θ	θ	PROPN
ejpam-5619	239	40	)	)	PUNCT
ejpam-5619	239	41	,	,	PUNCT
ejpam-5619	239	42	(	(	PUNCT
ejpam-5619	239	43	18	18	NUM
ejpam-5619	239	44	)	)	PUNCT
ejpam-5619	239	45	with	with	ADP
ejpam-5619	239	46	ics	ics	PROPN
ejpam-5619	239	47	g(η	g(η	PROPN
ejpam-5619	239	48	,	,	PUNCT
ejpam-5619	239	49	0	0	NUM
ejpam-5619	239	50	)	)	PUNCT
ejpam-5619	239	51	=	=	SYM
ejpam-5619	239	52	p1	p1	NOUN
ejpam-5619	239	53	(	(	PUNCT
ejpam-5619	239	54	η	η	PROPN
ejpam-5619	239	55	)	)	PUNCT
ejpam-5619	239	56	,	,	PUNCT
ejpam-5619	239	57	gθ(η	gθ(η	X
ejpam-5619	239	58	,	,	PUNCT
ejpam-5619	239	59	0	0	NUM
ejpam-5619	239	60	)	)	PUNCT
ejpam-5619	239	61	=	=	NOUN
ejpam-5619	239	62	p2	p2	X
ejpam-5619	239	63	(	(	PUNCT
ejpam-5619	239	64	η	η	NOUN
ejpam-5619	239	65	)	)	PUNCT
ejpam-5619	239	66	,	,	PUNCT
ejpam-5619	239	67	and	and	CCONJ
ejpam-5619	239	68	bcs	bcs	NOUN
ejpam-5619	239	69	g	g	PROPN
ejpam-5619	239	70	(	(	PUNCT
ejpam-5619	239	71	0	0	NUM
ejpam-5619	239	72	,	,	PUNCT
ejpam-5619	239	73	θ	θ	NOUN
ejpam-5619	239	74	)	)	PUNCT
ejpam-5619	239	75	=	=	PROPN
ejpam-5619	239	76	q1	q1	PROPN
ejpam-5619	239	77	(	(	PUNCT
ejpam-5619	239	78	θ	θ	NOUN
ejpam-5619	239	79	)	)	PUNCT
ejpam-5619	239	80	,	,	PUNCT
ejpam-5619	239	81	gη	gη	X
ejpam-5619	239	82	(	(	PUNCT
ejpam-5619	239	83	0	0	NUM
ejpam-5619	239	84	,	,	PUNCT
ejpam-5619	239	85	θ	θ	NOUN
ejpam-5619	239	86	)	)	PUNCT
ejpam-5619	239	87	=	=	SYM
ejpam-5619	239	88	q2	q2	NOUN
ejpam-5619	239	89	(	(	PUNCT
ejpam-5619	239	90	θ	θ	NOUN
ejpam-5619	239	91	)	)	PUNCT
ejpam-5619	239	92	,	,	PUNCT
ejpam-5619	239	93	and	and	CCONJ
ejpam-5619	239	94	assuming	assume	VERB
ejpam-5619	239	95	g	g	PROPN
ejpam-5619	239	96	(	(	PUNCT
ejpam-5619	239	97	0	0	NUM
ejpam-5619	239	98	,	,	PUNCT
ejpam-5619	239	99	0	0	NUM
ejpam-5619	239	100	)	)	PUNCT
ejpam-5619	239	101	=	=	SYM
ejpam-5619	240	1	φ	φ	PROPN
ejpam-5619	240	2	.	.	PUNCT
ejpam-5619	240	3	given	give	VERB
ejpam-5619	240	4	that	that	DET
ejpam-5619	240	5	g	g	PROPN
ejpam-5619	240	6	(	(	PUNCT
ejpam-5619	240	7	η	η	PROPN
ejpam-5619	240	8	,	,	PUNCT
ejpam-5619	240	9	θ	θ	NOUN
ejpam-5619	240	10	)	)	PUNCT
ejpam-5619	240	11	is	be	AUX
ejpam-5619	240	12	the	the	DET
ejpam-5619	240	13	unknown	unknown	ADJ
ejpam-5619	240	14	function	function	NOUN
ejpam-5619	240	15	,	,	PUNCT
ejpam-5619	240	16	k	k	PROPN
ejpam-5619	240	17	(	(	PUNCT
ejpam-5619	240	18	η	η	PROPN
ejpam-5619	240	19	,	,	PUNCT
ejpam-5619	240	20	θ	θ	NOUN
ejpam-5619	240	21	)	)	PUNCT
ejpam-5619	240	22	is	be	AUX
ejpam-5619	240	23	the	the	DET
ejpam-5619	240	24	source	source	NOUN
ejpam-5619	240	25	term	term	NOUN
ejpam-5619	240	26	,	,	PUNCT
ejpam-5619	240	27	anda1	anda1	NOUN
ejpam-5619	240	28	,	,	PUNCT
ejpam-5619	240	29	a2	a2	PROPN
ejpam-5619	240	30	,	,	PUNCT
ejpam-5619	240	31	...	...	PUNCT
ejpam-5619	240	32	,	,	PUNCT
ejpam-5619	240	33	a6	a6	NOUN
ejpam-5619	240	34	and	and	CCONJ
ejpam-5619	240	35	φ	φ	PROPN
ejpam-5619	240	36	are	be	AUX
ejpam-5619	240	37	constants	constant	NOUN
ejpam-5619	240	38	,	,	PUNCT
ejpam-5619	240	39	we	we	PRON
ejpam-5619	240	40	aim	aim	VERB
ejpam-5619	240	41	to	to	PART
ejpam-5619	240	42	apply	apply	VERB
ejpam-5619	240	43	the	the	DET
ejpam-5619	240	44	dlswt	dlswt	NOUN
ejpam-5619	240	45	to	to	ADP
ejpam-5619	240	46	equation	equation	NOUN
ejpam-5619	240	47	18	18	NUM
ejpam-5619	240	48	.	.	PUNCT
ejpam-5619	240	49	to	to	PART
ejpam-5619	240	50	achieve	achieve	VERB
ejpam-5619	240	51	this	this	PRON
ejpam-5619	240	52	,	,	PUNCT
ejpam-5619	240	53	we	we	PRON
ejpam-5619	240	54	first	first	ADV
ejpam-5619	240	55	apply	apply	VERB
ejpam-5619	240	56	the	the	DET
ejpam-5619	240	57	single	single	ADJ
ejpam-5619	240	58	laplace	laplace	NOUN
ejpam-5619	240	59	transform	transform	NOUN
ejpam-5619	240	60	to	to	ADP
ejpam-5619	240	61	the	the	DET
ejpam-5619	240	62	ics	ic	NOUN
ejpam-5619	240	63	and	and	CCONJ
ejpam-5619	240	64	the	the	DET
ejpam-5619	240	65	single	single	ADJ
ejpam-5619	240	66	sawi	sawi	ADJ
ejpam-5619	240	67	transform	transform	NOUN
ejpam-5619	240	68	to	to	ADP
ejpam-5619	240	69	the	the	DET
ejpam-5619	240	70	bcs	bc	NOUN
ejpam-5619	240	71	.	.	PUNCT
ejpam-5619	241	1	l	l	NOUN
ejpam-5619	241	2	(	(	PUNCT
ejpam-5619	241	3	p1	p1	PROPN
ejpam-5619	241	4	(	(	PUNCT
ejpam-5619	241	5	η	η	NOUN
ejpam-5619	241	6	)	)	PUNCT
ejpam-5619	241	7	)	)	PUNCT
ejpam-5619	241	8	=	=	PUNCT
ejpam-5619	241	9	p1(η	p1(η	PROPN
ejpam-5619	241	10	)	)	PUNCT
ejpam-5619	241	11	,	,	PUNCT
ejpam-5619	241	12	l	l	NOUN
ejpam-5619	241	13	(	(	PUNCT
ejpam-5619	241	14	p2	p2	PROPN
ejpam-5619	241	15	(	(	PUNCT
ejpam-5619	241	16	η	η	NOUN
ejpam-5619	241	17	)	)	PUNCT
ejpam-5619	241	18	)	)	PUNCT
ejpam-5619	242	1	=	=	PUNCT
ejpam-5619	242	2	p2(η	p2(η	NOUN
ejpam-5619	242	3	)	)	PUNCT
ejpam-5619	242	4	,	,	PUNCT
ejpam-5619	242	5	w	w	PROPN
ejpam-5619	242	6	(	(	PUNCT
ejpam-5619	242	7	q1	q1	PROPN
ejpam-5619	242	8	(	(	PUNCT
ejpam-5619	242	9	θ	θ	NOUN
ejpam-5619	242	10	)	)	PUNCT
ejpam-5619	242	11	)	)	PUNCT
ejpam-5619	243	1	=	=	PUNCT
ejpam-5619	244	1	q1(θ	q1(θ	NOUN
ejpam-5619	244	2	)	)	PUNCT
ejpam-5619	244	3	and	and	CCONJ
ejpam-5619	244	4	w	w	PROPN
ejpam-5619	244	5	(	(	PUNCT
ejpam-5619	244	6	q2	q2	X
ejpam-5619	244	7	(	(	PUNCT
ejpam-5619	244	8	θ	θ	NOUN
ejpam-5619	244	9	)	)	PUNCT
ejpam-5619	244	10	)	)	PUNCT
ejpam-5619	244	11	=	=	PUNCT
ejpam-5619	245	1	q2(θ	q2(θ	NOUN
ejpam-5619	245	2	)	)	PUNCT
ejpam-5619	245	3	.	.	PUNCT
ejpam-5619	246	1	by	by	ADP
ejpam-5619	246	2	applying	apply	VERB
ejpam-5619	246	3	the	the	DET
ejpam-5619	246	4	dlswt	dlswt	NOUN
ejpam-5619	246	5	to	to	ADP
ejpam-5619	246	6	equation	equation	NOUN
ejpam-5619	246	7	(	(	PUNCT
ejpam-5619	246	8	18	18	NUM
ejpam-5619	246	9	)	)	PUNCT
ejpam-5619	246	10	,	,	PUNCT
ejpam-5619	246	11	we	we	PRON
ejpam-5619	246	12	have	have	VERB
ejpam-5619	246	13	a1lηwθ	a1lηwθ	VERB
ejpam-5619	246	14	(	(	PUNCT
ejpam-5619	246	15	gηη	gηη	NOUN
ejpam-5619	246	16	)	)	PUNCT
ejpam-5619	247	1	+	+	ADP
ejpam-5619	247	2	a2lηwθ	a2lηwθ	NOUN
ejpam-5619	247	3	(	(	PUNCT
ejpam-5619	247	4	gηθ	gηθ	NOUN
ejpam-5619	247	5	)	)	PUNCT
ejpam-5619	247	6	+	+	NOUN
ejpam-5619	247	7	a3lηwθ	a3lηwθ	ADJ
ejpam-5619	247	8	(	(	PUNCT
ejpam-5619	247	9	gθθ	gθθ	NOUN
ejpam-5619	247	10	)	)	PUNCT
ejpam-5619	248	1	+	+	NOUN
ejpam-5619	248	2	a4lηwθ	a4lηwθ	NOUN
ejpam-5619	248	3	(	(	PUNCT
ejpam-5619	248	4	gη	gη	NOUN
ejpam-5619	248	5	)	)	PUNCT
ejpam-5619	248	6	(	(	PUNCT
ejpam-5619	248	7	19	19	NUM
ejpam-5619	248	8	)	)	PUNCT
ejpam-5619	249	1	+	+	NUM
ejpam-5619	249	2	a5lηwθ	a5lηwθ	NOUN
ejpam-5619	249	3	(	(	PUNCT
ejpam-5619	249	4	gθ	gθ	PROPN
ejpam-5619	249	5	)	)	PUNCT
ejpam-5619	249	6	+	+	NOUN
ejpam-5619	249	7	a6lηwθ	a6lηwθ	ADJ
ejpam-5619	249	8	(	(	PUNCT
ejpam-5619	249	9	g	g	PROPN
ejpam-5619	249	10	(	(	PUNCT
ejpam-5619	249	11	η	η	PROPN
ejpam-5619	249	12	,	,	PUNCT
ejpam-5619	249	13	θ	θ	NOUN
ejpam-5619	249	14	)	)	PUNCT
ejpam-5619	249	15	)	)	PUNCT
ejpam-5619	250	1	=	=	PUNCT
ejpam-5619	250	2	lηwθ	lηwθ	NOUN
ejpam-5619	250	3	(	(	PUNCT
ejpam-5619	250	4	k	k	X
ejpam-5619	250	5	(	(	PUNCT
ejpam-5619	250	6	η	η	PROPN
ejpam-5619	250	7	,	,	PUNCT
ejpam-5619	250	8	θ	θ	NOUN
ejpam-5619	250	9	)	)	PUNCT
ejpam-5619	250	10	)	)	PUNCT
ejpam-5619	250	11	.	.	PUNCT
ejpam-5619	251	1	by	by	ADP
ejpam-5619	251	2	the	the	DET
ejpam-5619	251	3	properties	property	NOUN
ejpam-5619	251	4	of	of	ADP
ejpam-5619	251	5	the	the	DET
ejpam-5619	251	6	derivatives	derivative	NOUN
ejpam-5619	251	7	in	in	ADP
ejpam-5619	251	8	equations	equation	NOUN
ejpam-5619	251	9	(	(	PUNCT
ejpam-5619	251	10	12)−	12)−	NUM
ejpam-5619	251	11	(	(	PUNCT
ejpam-5619	251	12	15	15	NUM
ejpam-5619	251	13	)	)	PUNCT
ejpam-5619	251	14	,	,	PUNCT
ejpam-5619	251	15	we	we	PRON
ejpam-5619	251	16	get	get	VERB
ejpam-5619	251	17	a1	a1	NOUN
ejpam-5619	251	18	(	(	PUNCT
ejpam-5619	251	19	δ2g(δ	δ2g(δ	PROPN
ejpam-5619	251	20	,	,	PUNCT
ejpam-5619	251	21	ϵ)−	ϵ)−	PROPN
ejpam-5619	251	22	δ2q1(θ)−	δ2q1(θ)−	PROPN
ejpam-5619	251	23	δq2(θ	δq2(θ	PROPN
ejpam-5619	251	24	)	)	PUNCT
ejpam-5619	251	25	)	)	PUNCT
ejpam-5619	252	1	(	(	PUNCT
ejpam-5619	252	2	20	20	X
ejpam-5619	252	3	)	)	PUNCT
ejpam-5619	252	4	+	+	NUM
ejpam-5619	252	5	a2	a2	PROPN
ejpam-5619	252	6	(	(	PUNCT
ejpam-5619	252	7	δϵ	δϵ	ADP
ejpam-5619	252	8	γ	γ	PROPN
ejpam-5619	252	9	g(δ	g(δ	PROPN
ejpam-5619	252	10	,	,	PUNCT
ejpam-5619	252	11	ϵ)−	ϵ)−	ADJ
ejpam-5619	252	12	δp1(η)−	δp1(η)−	NOUN
ejpam-5619	252	13	δϵ	δϵ	ADP
ejpam-5619	252	14	γ	γ	X
ejpam-5619	252	15	q1(θ	q1(θ	PROPN
ejpam-5619	252	16	)	)	PUNCT
ejpam-5619	252	17	+	+	NUM
ejpam-5619	252	18	δφ	δφ	NOUN
ejpam-5619	252	19	)	)	PUNCT
ejpam-5619	252	20	m.	m.	NOUN
ejpam-5619	252	21	al	al	PROPN
ejpam-5619	252	22	-	-	PUNCT
ejpam-5619	252	23	momani	momani	PROPN
ejpam-5619	252	24	,	,	PUNCT
ejpam-5619	252	25	a.	a.	NOUN
ejpam-5619	252	26	jaradat	jaradat	PROPN
ejpam-5619	252	27	,	,	PUNCT
ejpam-5619	252	28	b.	b.	PROPN
ejpam-5619	252	29	abughazaleh	abughazaleh	PROPN
ejpam-5619	252	30	/	/	SYM
ejpam-5619	252	31	eur	eur	PROPN
ejpam-5619	252	32	.	.	PUNCT
ejpam-5619	253	1	j.	j.	PROPN
ejpam-5619	253	2	pure	pure	PROPN
ejpam-5619	253	3	appl	appl	PROPN
ejpam-5619	253	4	.	.	PROPN
ejpam-5619	253	5	math	math	PROPN
ejpam-5619	253	6	,	,	PUNCT
ejpam-5619	253	7	18	18	NUM
ejpam-5619	253	8	(	(	PUNCT
ejpam-5619	253	9	1	1	NUM
ejpam-5619	253	10	)	)	PUNCT
ejpam-5619	253	11	(	(	PUNCT
ejpam-5619	253	12	2025	2025	NUM
ejpam-5619	253	13	)	)	PUNCT
ejpam-5619	253	14	,	,	PUNCT
ejpam-5619	253	15	5619	5619	NUM
ejpam-5619	253	16	11	11	NUM
ejpam-5619	253	17	of	of	ADP
ejpam-5619	253	18	19	19	NUM
ejpam-5619	253	19	+	+	NOUN
ejpam-5619	253	20	a3	a3	NOUN
ejpam-5619	253	21	(	(	PUNCT
ejpam-5619	253	22	1	1	NUM
ejpam-5619	253	23	ϵ	ϵ	ADP
ejpam-5619	253	24	g(δ	g(δ	PROPN
ejpam-5619	253	25	,	,	PUNCT
ejpam-5619	253	26	ϵ)−	ϵ)−	NOUN
ejpam-5619	253	27	1	1	NUM
ejpam-5619	253	28	ϵ	ϵ	NOUN
ejpam-5619	253	29	p1(η)−	p1(η)−	PRON
ejpam-5619	253	30	p2(η	p2(η	NOUN
ejpam-5619	253	31	)	)	PUNCT
ejpam-5619	253	32	)	)	PUNCT
ejpam-5619	254	1	+	+	PUNCT
ejpam-5619	254	2	a4	a4	NOUN
ejpam-5619	254	3	(	(	PUNCT
ejpam-5619	254	4	δg(δ	δg(δ	ADJ
ejpam-5619	254	5	,	,	PUNCT
ejpam-5619	254	6	ϵ)−	ϵ)−	ADJ
ejpam-5619	254	7	δq1(θ	δq1(θ	PROPN
ejpam-5619	254	8	)	)	PUNCT
ejpam-5619	254	9	)	)	PUNCT
ejpam-5619	255	1	+	+	ADV
ejpam-5619	255	2	a5	a5	NOUN
ejpam-5619	255	3	(	(	PUNCT
ejpam-5619	255	4	1	1	NUM
ejpam-5619	255	5	ϵ	ϵ	PRON
ejpam-5619	255	6	g(δ	g(δ	PROPN
ejpam-5619	255	7	,	,	PUNCT
ejpam-5619	255	8	ϵ)g(δ	ϵ)g(δ	NOUN
ejpam-5619	255	9	,	,	PUNCT
ejpam-5619	255	10	ϵ)−	ϵ)−	PROPN
ejpam-5619	255	11	p1(η	p1(η	PROPN
ejpam-5619	255	12	)	)	PUNCT
ejpam-5619	255	13	)	)	PUNCT
ejpam-5619	256	1	+	+	ADP
ejpam-5619	256	2	a6g(δ	a6g(δ	NOUN
ejpam-5619	256	3	,	,	PUNCT
ejpam-5619	256	4	ϵ	ϵ	X
ejpam-5619	256	5	)	)	PUNCT
ejpam-5619	256	6	=	=	SYM
ejpam-5619	256	7	k(δ	k(δ	PROPN
ejpam-5619	256	8	,	,	PUNCT
ejpam-5619	256	9	ϵ	ϵ	NOUN
ejpam-5619	256	10	)	)	PUNCT
ejpam-5619	256	11	.	.	PUNCT
ejpam-5619	257	1	simplify	simplify	ADJ
ejpam-5619	257	2	equation	equation	NOUN
ejpam-5619	257	3	20	20	NUM
ejpam-5619	257	4	as	as	SCONJ
ejpam-5619	257	5	follows	follow	VERB
ejpam-5619	257	6	g(δ	g(δ	PROPN
ejpam-5619	257	7	,	,	PUNCT
ejpam-5619	257	8	ϵ	ϵ	X
ejpam-5619	257	9	)	)	PUNCT
ejpam-5619	257	10	=	=	SYM
ejpam-5619	258	1	(	(	PUNCT
ejpam-5619	258	2	a1δ	a1δ	PROPN
ejpam-5619	258	3	2	2	NUM
ejpam-5619	258	4	+	+	NOUN
ejpam-5619	258	5	a2	a2	PROPN
ejpam-5619	258	6	δϵ	δϵ	ADP
ejpam-5619	258	7	γ	γ	NOUN
ejpam-5619	258	8	+	+	NOUN
ejpam-5619	258	9	a4δ	a4δ	NOUN
ejpam-5619	258	10	)	)	PUNCT
ejpam-5619	258	11	q1	q1	NOUN
ejpam-5619	258	12	+	+	NOUN
ejpam-5619	258	13	a1δq2	a1δq2	ADJ
ejpam-5619	259	1	+	+	CCONJ
ejpam-5619	260	1	(	(	PUNCT
ejpam-5619	260	2	a2δ	a2δ	PROPN
ejpam-5619	260	3	+	+	NOUN
ejpam-5619	260	4	a3	a3	NOUN
ejpam-5619	260	5	1	1	NUM
ejpam-5619	260	6	ϵ	ϵ	ADP
ejpam-5619	260	7	+	+	NOUN
ejpam-5619	260	8	a5	a5	NOUN
ejpam-5619	260	9	)	)	PUNCT
ejpam-5619	260	10	p1	p1	NOUN
ejpam-5619	260	11	+	+	NOUN
ejpam-5619	260	12	a3p2	a3p2	PROPN
ejpam-5619	260	13	−a2δφ+k	−a2δφ+k	PROPN
ejpam-5619	260	14	a1δ2	a1δ2	X
ejpam-5619	260	15	+	+	NOUN
ejpam-5619	260	16	a2	a2	PROPN
ejpam-5619	260	17	δϵ	δϵ	ADP
ejpam-5619	260	18	γ	γ	PROPN
ejpam-5619	260	19	+	+	PROPN
ejpam-5619	260	20	a3	a3	NOUN
ejpam-5619	260	21	1	1	NUM
ejpam-5619	260	22	ϵ	ϵ	X
ejpam-5619	260	23	+	+	NOUN
ejpam-5619	260	24	a4δ	a4δ	NOUN
ejpam-5619	260	25	+	+	ADJ
ejpam-5619	260	26	a5	a5	NOUN
ejpam-5619	260	27	1	1	NUM
ejpam-5619	260	28	ϵ	ϵ	X
ejpam-5619	260	29	+	+	PROPN
ejpam-5619	260	30	a6	a6	NOUN
ejpam-5619	260	31	.	.	PUNCT
ejpam-5619	261	1	(	(	PUNCT
ejpam-5619	261	2	21	21	NUM
ejpam-5619	261	3	)	)	PUNCT
ejpam-5619	261	4	example	example	NOUN
ejpam-5619	261	5	1	1	NUM
ejpam-5619	261	6	.	.	X
ejpam-5619	262	1	consider	consider	VERB
ejpam-5619	262	2	the	the	DET
ejpam-5619	262	3	wave	wave	NOUN
ejpam-5619	262	4	equation	equation	NOUN
ejpam-5619	262	5	gηη	gηη	NOUN
ejpam-5619	262	6	−	−	PROPN
ejpam-5619	262	7	gθθ	gθθ	NOUN
ejpam-5619	262	8	=	=	NOUN
ejpam-5619	262	9	0	0	NUM
ejpam-5619	262	10	,	,	PUNCT
ejpam-5619	262	11	where	where	SCONJ
ejpam-5619	262	12	η	η	PROPN
ejpam-5619	262	13	,	,	PUNCT
ejpam-5619	262	14	θ	θ	PROPN
ejpam-5619	262	15	≥	≥	NOUN
ejpam-5619	262	16	0	0	NUM
ejpam-5619	262	17	,	,	PUNCT
ejpam-5619	262	18	with	with	ADP
ejpam-5619	262	19	ics	ics	PROPN
ejpam-5619	262	20	g(η	g(η	PROPN
ejpam-5619	262	21	,	,	PUNCT
ejpam-5619	262	22	0	0	NUM
ejpam-5619	262	23	)	)	PUNCT
ejpam-5619	262	24	=	=	SYM
ejpam-5619	262	25	5η	5η	NUM
ejpam-5619	262	26	,	,	PUNCT
ejpam-5619	262	27	gθ(η	gθ(η	X
ejpam-5619	262	28	,	,	PUNCT
ejpam-5619	262	29	0	0	NUM
ejpam-5619	262	30	)	)	PUNCT
ejpam-5619	262	31	=	=	SYM
ejpam-5619	262	32	cos	cos	PROPN
ejpam-5619	262	33	η	η	PROPN
ejpam-5619	262	34	,	,	PUNCT
ejpam-5619	262	35	and	and	CCONJ
ejpam-5619	262	36	bcs	bcs	NOUN
ejpam-5619	262	37	g	g	PROPN
ejpam-5619	262	38	(	(	PUNCT
ejpam-5619	262	39	0	0	NUM
ejpam-5619	262	40	,	,	PUNCT
ejpam-5619	262	41	θ	θ	NOUN
ejpam-5619	262	42	)	)	PUNCT
ejpam-5619	262	43	=	=	VERB
ejpam-5619	262	44	sin	sin	NOUN
ejpam-5619	262	45	θ	θ	NOUN
ejpam-5619	262	46	,	,	PUNCT
ejpam-5619	262	47	gη	gη	X
ejpam-5619	262	48	(	(	PUNCT
ejpam-5619	262	49	0	0	NUM
ejpam-5619	262	50	,	,	PUNCT
ejpam-5619	262	51	θ	θ	NOUN
ejpam-5619	262	52	)	)	PUNCT
ejpam-5619	262	53	=	=	SYM
ejpam-5619	262	54	5	5	X
ejpam-5619	262	55	.	.	PUNCT
ejpam-5619	262	56	solution	solution	NOUN
ejpam-5619	262	57	1	1	NUM
ejpam-5619	262	58	.	.	PUNCT
ejpam-5619	262	59	by	by	ADP
ejpam-5619	262	60	applying	apply	VERB
ejpam-5619	262	61	the	the	DET
ejpam-5619	262	62	single	single	ADJ
ejpam-5619	262	63	laplace	laplace	NOUN
ejpam-5619	262	64	transform	transform	NOUN
ejpam-5619	262	65	to	to	ADP
ejpam-5619	262	66	the	the	DET
ejpam-5619	262	67	ics	ic	NOUN
ejpam-5619	262	68	and	and	CCONJ
ejpam-5619	262	69	the	the	DET
ejpam-5619	262	70	single	single	ADJ
ejpam-5619	262	71	sawi	sawi	ADJ
ejpam-5619	262	72	transform	transform	NOUN
ejpam-5619	262	73	to	to	ADP
ejpam-5619	262	74	the	the	DET
ejpam-5619	262	75	bcs	bc	NOUN
ejpam-5619	262	76	,	,	PUNCT
ejpam-5619	262	77	i	i	PRON
ejpam-5619	262	78	get	get	VERB
ejpam-5619	262	79	p1	p1	NOUN
ejpam-5619	262	80	=	=	SYM
ejpam-5619	262	81	5	5	NUM
ejpam-5619	262	82	δ2	δ2	VERB
ejpam-5619	262	83	,	,	PUNCT
ejpam-5619	262	84	p2	p2	PROPN
ejpam-5619	262	85	=	=	SYM
ejpam-5619	262	86	δ	δ	PROPN
ejpam-5619	262	87	1+δ2	1+δ2	NUM
ejpam-5619	262	88	,	,	PUNCT
ejpam-5619	262	89	q1	q1	PROPN
ejpam-5619	262	90	=	=	NOUN
ejpam-5619	262	91	1	1	NUM
ejpam-5619	262	92	1+ϵ2	1+ϵ2	NUM
ejpam-5619	262	93	,	,	PUNCT
ejpam-5619	262	94	q2	q2	NOUN
ejpam-5619	262	95	=	=	SYM
ejpam-5619	262	96	5	5	NUM
ejpam-5619	262	97	ϵ	ϵ	NOUN
ejpam-5619	262	98	substitute	substitute	NOUN
ejpam-5619	262	99	in	in	ADP
ejpam-5619	262	100	equation	equation	NOUN
ejpam-5619	262	101	(	(	PUNCT
ejpam-5619	262	102	21	21	NUM
ejpam-5619	262	103	)	)	PUNCT
ejpam-5619	262	104	a1	a1	NOUN
ejpam-5619	262	105	=	=	SYM
ejpam-5619	262	106	1	1	NUM
ejpam-5619	262	107	,	,	PUNCT
ejpam-5619	262	108	a3	a3	NOUN
ejpam-5619	262	109	=	=	SYM
ejpam-5619	262	110	−1	−1	NOUN
ejpam-5619	262	111	,	,	PUNCT
ejpam-5619	262	112	a2	a2	NOUN
ejpam-5619	262	113	=	=	SYM
ejpam-5619	262	114	a4	a4	PROPN
ejpam-5619	262	115	=	=	SYM
ejpam-5619	262	116	a5	a5	NOUN
ejpam-5619	262	117	=	=	PUNCT
ejpam-5619	262	118	a6	a6	NOUN
ejpam-5619	262	119	=	=	SYM
ejpam-5619	262	120	0	0	NUM
ejpam-5619	262	121	and	and	CCONJ
ejpam-5619	262	122	the	the	DET
ejpam-5619	262	123	values	value	NOUN
ejpam-5619	262	124	of	of	ADP
ejpam-5619	262	125	p1	p1	NOUN
ejpam-5619	262	126	,	,	PUNCT
ejpam-5619	262	127	p2	p2	NOUN
ejpam-5619	262	128	,	,	PUNCT
ejpam-5619	262	129	q1	q1	NOUN
ejpam-5619	262	130	and	and	CCONJ
ejpam-5619	262	131	q2	q2	NOUN
ejpam-5619	262	132	,	,	PUNCT
ejpam-5619	262	133	we	we	PRON
ejpam-5619	262	134	get	get	VERB
ejpam-5619	262	135	g(δ	g(δ	PROPN
ejpam-5619	262	136	,	,	PUNCT
ejpam-5619	262	137	ϵ	ϵ	X
ejpam-5619	262	138	)	)	PUNCT
ejpam-5619	262	139	=	=	SYM
ejpam-5619	263	1	δ	δ	X
ejpam-5619	263	2	1+ϵ2	1+ϵ2	NUM
ejpam-5619	263	3	+	+	CCONJ
ejpam-5619	263	4	5	5	NUM
ejpam-5619	263	5	ϵ	ϵ	DET
ejpam-5619	263	6	−	−	PROPN
ejpam-5619	263	7	5	5	NUM
ejpam-5619	263	8	δ2ϵ3	δ2ϵ3	NOUN
ejpam-5619	263	9	−	−	PROPN
ejpam-5619	263	10	δ	δ	PROPN
ejpam-5619	263	11	ϵ2(1+δ2	ϵ2(1+δ2	NOUN
ejpam-5619	263	12	)	)	PUNCT
ejpam-5619	263	13	δ2	δ2	VERB
ejpam-5619	263	14	−	−	PROPN
ejpam-5619	263	15	1	1	NUM
ejpam-5619	263	16	ϵ2	ϵ2	NOUN
ejpam-5619	263	17	(	(	PUNCT
ejpam-5619	263	18	22	22	NUM
ejpam-5619	263	19	)	)	PUNCT
ejpam-5619	263	20	=	=	SYM
ejpam-5619	263	21	5(δ2ϵ2−1	5(δ2ϵ2−1	X
ejpam-5619	263	22	)	)	PUNCT
ejpam-5619	263	23	δ2ϵ	δ2ϵ	PROPN
ejpam-5619	263	24	+	+	CCONJ
ejpam-5619	263	25	δ(δ2ϵ2−1	δ(δ2ϵ2−1	NOUN
ejpam-5619	263	26	)	)	PUNCT
ejpam-5619	263	27	(	(	PUNCT
ejpam-5619	263	28	1+δ2)(1+ϵ2	1+δ2)(1+ϵ2	NUM
ejpam-5619	263	29	)	)	PUNCT
ejpam-5619	263	30	δ2ϵ2	δ2ϵ2	PROPN
ejpam-5619	263	31	−	−	PROPN
ejpam-5619	263	32	1	1	NUM
ejpam-5619	263	33	=	=	SYM
ejpam-5619	263	34	5	5	NUM
ejpam-5619	263	35	δ2ϵ	δ2ϵ	PROPN
ejpam-5619	263	36	+	+	CCONJ
ejpam-5619	263	37	δ	δ	PROPN
ejpam-5619	263	38	(	(	PUNCT
ejpam-5619	263	39	1	1	NUM
ejpam-5619	263	40	+	+	CCONJ
ejpam-5619	263	41	δ2	δ2	VERB
ejpam-5619	263	42	)	)	PUNCT
ejpam-5619	263	43	(	(	PUNCT
ejpam-5619	263	44	1	1	NUM
ejpam-5619	263	45	+	+	CCONJ
ejpam-5619	263	46	ϵ2	ϵ2	ADJ
ejpam-5619	263	47	)	)	PUNCT
ejpam-5619	263	48	.	.	PUNCT
ejpam-5619	264	1	so	so	ADV
ejpam-5619	264	2	,	,	PUNCT
ejpam-5619	264	3	g(η	g(η	PROPN
ejpam-5619	264	4	,	,	PUNCT
ejpam-5619	264	5	θ	θ	NOUN
ejpam-5619	264	6	)	)	PUNCT
ejpam-5619	264	7	=	=	SYM
ejpam-5619	264	8	l−1	l−1	PROPN
ejpam-5619	264	9	η	η	NOUN
ejpam-5619	264	10	w−1	w−1	PROPN
ejpam-5619	264	11	θ	θ	PROPN
ejpam-5619	264	12	(	(	PUNCT
ejpam-5619	264	13	5	5	NUM
ejpam-5619	264	14	δ2ϵ	δ2ϵ	PROPN
ejpam-5619	264	15	+	+	CCONJ
ejpam-5619	264	16	δ	δ	PROPN
ejpam-5619	264	17	(	(	PUNCT
ejpam-5619	264	18	1	1	NUM
ejpam-5619	264	19	+	+	CCONJ
ejpam-5619	264	20	δ2	δ2	VERB
ejpam-5619	264	21	)	)	PUNCT
ejpam-5619	264	22	(	(	PUNCT
ejpam-5619	264	23	1	1	NUM
ejpam-5619	264	24	+	+	CCONJ
ejpam-5619	264	25	ϵ2	ϵ2	ADJ
ejpam-5619	264	26	)	)	PUNCT
ejpam-5619	264	27	)	)	PUNCT
ejpam-5619	265	1	=	=	SYM
ejpam-5619	266	1	5η	5η	PROPN
ejpam-5619	266	2	+	+	CCONJ
ejpam-5619	266	3	cos	cos	PROPN
ejpam-5619	266	4	η	η	PROPN
ejpam-5619	266	5	sin	sin	PROPN
ejpam-5619	266	6	θ	θ	PROPN
ejpam-5619	266	7	.	.	PUNCT
ejpam-5619	267	1	its	its	PRON
ejpam-5619	267	2	graph	graph	NOUN
ejpam-5619	267	3	is	be	AUX
ejpam-5619	267	4	m.	m.	NOUN
ejpam-5619	267	5	al	al	PROPN
ejpam-5619	267	6	-	-	PUNCT
ejpam-5619	267	7	momani	momani	PROPN
ejpam-5619	267	8	,	,	PUNCT
ejpam-5619	267	9	a.	a.	NOUN
ejpam-5619	267	10	jaradat	jaradat	PROPN
ejpam-5619	267	11	,	,	PUNCT
ejpam-5619	267	12	b.	b.	PROPN
ejpam-5619	267	13	abughazaleh	abughazaleh	PROPN
ejpam-5619	267	14	/	/	SYM
ejpam-5619	267	15	eur	eur	PROPN
ejpam-5619	267	16	.	.	PUNCT
ejpam-5619	268	1	j.	j.	PROPN
ejpam-5619	268	2	pure	pure	PROPN
ejpam-5619	268	3	appl	appl	PROPN
ejpam-5619	268	4	.	.	PROPN
ejpam-5619	268	5	math	math	PROPN
ejpam-5619	268	6	,	,	PUNCT
ejpam-5619	268	7	18	18	NUM
ejpam-5619	268	8	(	(	PUNCT
ejpam-5619	268	9	1	1	NUM
ejpam-5619	268	10	)	)	PUNCT
ejpam-5619	268	11	(	(	PUNCT
ejpam-5619	268	12	2025	2025	NUM
ejpam-5619	268	13	)	)	PUNCT
ejpam-5619	268	14	,	,	PUNCT
ejpam-5619	268	15	5619	5619	NUM
ejpam-5619	268	16	12	12	NUM
ejpam-5619	268	17	of	of	ADP
ejpam-5619	268	18	19	19	NUM
ejpam-5619	268	19	figure	figure	NOUN
ejpam-5619	268	20	1	1	NUM
ejpam-5619	268	21	:	:	PUNCT
ejpam-5619	268	22	the	the	DET
ejpam-5619	268	23	solution	solution	NOUN
ejpam-5619	268	24	of	of	ADP
ejpam-5619	268	25	example	example	NOUN
ejpam-5619	268	26	1	1	NUM
ejpam-5619	268	27	example	example	NOUN
ejpam-5619	268	28	2	2	NUM
ejpam-5619	268	29	.	.	X
ejpam-5619	268	30	consider	consider	VERB
ejpam-5619	268	31	the	the	DET
ejpam-5619	268	32	advection	advection	NOUN
ejpam-5619	268	33	-	-	PUNCT
ejpam-5619	268	34	diffusion	diffusion	NOUN
ejpam-5619	268	35	equation	equation	NOUN
ejpam-5619	268	36	gδ	gδ	NOUN
ejpam-5619	268	37	+	+	PROPN
ejpam-5619	269	1	2gϵϵ	2gϵϵ	PROPN
ejpam-5619	269	2	=	=	SYM
ejpam-5619	269	3	2gϵ	2gϵ	NOUN
ejpam-5619	269	4	,	,	PUNCT
ejpam-5619	269	5	where	where	SCONJ
ejpam-5619	269	6	η	η	PROPN
ejpam-5619	269	7	,	,	PUNCT
ejpam-5619	269	8	θ	θ	PROPN
ejpam-5619	269	9	≥	≥	NOUN
ejpam-5619	269	10	0	0	NUM
ejpam-5619	269	11	,	,	PUNCT
ejpam-5619	269	12	with	with	ADP
ejpam-5619	269	13	ic	ic	PROPN
ejpam-5619	269	14	g(η	g(η	PROPN
ejpam-5619	269	15	,	,	PUNCT
ejpam-5619	269	16	0	0	NUM
ejpam-5619	269	17	)	)	PUNCT
ejpam-5619	269	18	=	=	NOUN
ejpam-5619	269	19	2δ	2δ	NUM
ejpam-5619	269	20	−	−	PROPN
ejpam-5619	269	21	1	1	NUM
ejpam-5619	269	22	,	,	PUNCT
ejpam-5619	269	23	gϵ	gϵ	VERB
ejpam-5619	269	24	(	(	PUNCT
ejpam-5619	269	25	δ	δ	PROPN
ejpam-5619	269	26	,	,	PUNCT
ejpam-5619	269	27	0	0	NUM
ejpam-5619	269	28	)	)	PUNCT
ejpam-5619	269	29	=	=	SYM
ejpam-5619	269	30	0	0	NUM
ejpam-5619	269	31	,	,	PUNCT
ejpam-5619	269	32	and	and	CCONJ
ejpam-5619	269	33	bcs	bcs	NOUN
ejpam-5619	269	34	g	g	PROPN
ejpam-5619	269	35	(	(	PUNCT
ejpam-5619	269	36	0	0	NUM
ejpam-5619	269	37	,	,	PUNCT
ejpam-5619	269	38	θ	θ	NOUN
ejpam-5619	269	39	)	)	PUNCT
ejpam-5619	269	40	=	=	SYM
ejpam-5619	269	41	ϵ−	ϵ−	NOUN
ejpam-5619	269	42	eϵ.	eϵ.	NOUN
ejpam-5619	269	43	solution	solution	NOUN
ejpam-5619	269	44	2	2	NUM
ejpam-5619	269	45	.	.	PUNCT
ejpam-5619	269	46	by	by	ADP
ejpam-5619	269	47	applying	apply	VERB
ejpam-5619	269	48	the	the	DET
ejpam-5619	269	49	single	single	ADJ
ejpam-5619	269	50	laplace	laplace	NOUN
ejpam-5619	269	51	transform	transform	NOUN
ejpam-5619	269	52	to	to	ADP
ejpam-5619	269	53	the	the	DET
ejpam-5619	269	54	ics	ic	NOUN
ejpam-5619	269	55	and	and	CCONJ
ejpam-5619	269	56	the	the	DET
ejpam-5619	269	57	single	single	ADJ
ejpam-5619	269	58	sawi	sawi	ADJ
ejpam-5619	269	59	transform	transform	NOUN
ejpam-5619	269	60	to	to	ADP
ejpam-5619	269	61	the	the	DET
ejpam-5619	269	62	bcs	bc	NOUN
ejpam-5619	269	63	,	,	PUNCT
ejpam-5619	269	64	we	we	PRON
ejpam-5619	269	65	get	get	VERB
ejpam-5619	269	66	p1	p1	NOUN
ejpam-5619	269	67	=	=	NOUN
ejpam-5619	269	68	1	1	NUM
ejpam-5619	269	69	δ−1	δ−1	PROPN
ejpam-5619	269	70	,	,	PUNCT
ejpam-5619	269	71	p2	p2	PROPN
ejpam-5619	269	72	=	=	SYM
ejpam-5619	269	73	0	0	NUM
ejpam-5619	269	74	,	,	PUNCT
ejpam-5619	269	75	q1	q1	NOUN
ejpam-5619	269	76	=	=	SYM
ejpam-5619	269	77	1	1	NUM
ejpam-5619	270	1	ϵ(1	ϵ(1	PROPN
ejpam-5619	270	2	+	+	NUM
ejpam-5619	270	3	2ϵ	2ϵ	NOUN
ejpam-5619	270	4	)	)	PUNCT
ejpam-5619	270	5	substitute	substitute	NOUN
ejpam-5619	270	6	in	in	ADP
ejpam-5619	270	7	equation	equation	NOUN
ejpam-5619	270	8	(	(	PUNCT
ejpam-5619	270	9	21	21	NUM
ejpam-5619	270	10	)	)	PUNCT
ejpam-5619	270	11	a3	a3	NOUN
ejpam-5619	270	12	=	=	SYM
ejpam-5619	270	13	2	2	NUM
ejpam-5619	270	14	,	,	PUNCT
ejpam-5619	270	15	a4	a4	NOUN
ejpam-5619	270	16	=	=	SYM
ejpam-5619	270	17	1	1	NUM
ejpam-5619	270	18	,	,	PUNCT
ejpam-5619	270	19	a5	a5	PROPN
ejpam-5619	270	20	=	=	SYM
ejpam-5619	270	21	−2	−2	NOUN
ejpam-5619	270	22	,	,	PUNCT
ejpam-5619	270	23	a1	a1	NOUN
ejpam-5619	270	24	=	=	SYM
ejpam-5619	270	25	a2	a2	PROPN
ejpam-5619	270	26	=	=	SYM
ejpam-5619	270	27	a6	a6	PROPN
ejpam-5619	270	28	=	=	SYM
ejpam-5619	270	29	0	0	NUM
ejpam-5619	270	30	and	and	CCONJ
ejpam-5619	270	31	the	the	DET
ejpam-5619	270	32	values	value	NOUN
ejpam-5619	270	33	of	of	ADP
ejpam-5619	270	34	p1	p1	NOUN
ejpam-5619	270	35	,	,	PUNCT
ejpam-5619	270	36	p2	p2	NOUN
ejpam-5619	270	37	,	,	PUNCT
ejpam-5619	270	38	q1	q1	NOUN
ejpam-5619	270	39	and	and	CCONJ
ejpam-5619	270	40	q2	q2	NOUN
ejpam-5619	270	41	,	,	PUNCT
ejpam-5619	270	42	we	we	PRON
ejpam-5619	270	43	get	get	VERB
ejpam-5619	270	44	g(δ	g(δ	PROPN
ejpam-5619	270	45	,	,	PUNCT
ejpam-5619	270	46	ϵ	ϵ	X
ejpam-5619	270	47	)	)	PUNCT
ejpam-5619	270	48	=	=	SYM
ejpam-5619	270	49	1−	1−	NUM
ejpam-5619	270	50	1	1	NUM
ejpam-5619	270	51	ϵ(1−ϵ	ϵ(1−ϵ	NOUN
ejpam-5619	270	52	)	)	PUNCT
ejpam-5619	271	1	+	+	CCONJ
ejpam-5619	271	2	(	(	PUNCT
ejpam-5619	271	3	2	2	NUM
ejpam-5619	271	4	ϵ3	ϵ3	PROPN
ejpam-5619	271	5	−	−	PROPN
ejpam-5619	271	6	2	2	NUM
ejpam-5619	271	7	ϵ2	ϵ2	NOUN
ejpam-5619	271	8	)	)	PUNCT
ejpam-5619	271	9	×	×	NOUN
ejpam-5619	271	10	(	(	PUNCT
ejpam-5619	271	11	2	2	NUM
ejpam-5619	271	12	δ2	δ2	VERB
ejpam-5619	271	13	−	−	NOUN
ejpam-5619	271	14	1	1	NUM
ejpam-5619	271	15	δ	δ	NOUN
ejpam-5619	271	16	)	)	PUNCT
ejpam-5619	271	17	2	2	NUM
ejpam-5619	271	18	ϵ2	ϵ2	NOUN
ejpam-5619	271	19	+	+	CCONJ
ejpam-5619	271	20	δ	δ	PROPN
ejpam-5619	271	21	−	−	ADP
ejpam-5619	271	22	2	2	NUM
ejpam-5619	271	23	ϵ	ϵ	NOUN
ejpam-5619	271	24	.	.	PUNCT
ejpam-5619	272	1	by	by	ADP
ejpam-5619	272	2	simplifying	simplify	VERB
ejpam-5619	272	3	,	,	PUNCT
ejpam-5619	272	4	we	we	PRON
ejpam-5619	272	5	get	get	VERB
ejpam-5619	272	6	g(δ	g(δ	PROPN
ejpam-5619	272	7	,	,	PUNCT
ejpam-5619	272	8	ϵ	ϵ	NOUN
ejpam-5619	272	9	)	)	PUNCT
ejpam-5619	272	10	=	=	SYM
ejpam-5619	272	11	2	2	NUM
ejpam-5619	272	12	δ2ϵ	δ2ϵ	NOUN
ejpam-5619	272	13	−	−	NOUN
ejpam-5619	272	14	1	1	NUM
ejpam-5619	272	15	δϵ	δϵ	NOUN
ejpam-5619	272	16	(	(	PUNCT
ejpam-5619	272	17	1−	1−	NUM
ejpam-5619	272	18	ϵ	ϵ	NOUN
ejpam-5619	272	19	)	)	PUNCT
ejpam-5619	273	1	+	+	CCONJ
ejpam-5619	273	2	1	1	NUM
ejpam-5619	273	3	δ	δ	NOUN
ejpam-5619	273	4	.	.	PUNCT
ejpam-5619	274	1	m.	m.	PROPN
ejpam-5619	274	2	al	al	PROPN
ejpam-5619	274	3	-	-	PUNCT
ejpam-5619	274	4	momani	momani	PROPN
ejpam-5619	274	5	,	,	PUNCT
ejpam-5619	274	6	a.	a.	NOUN
ejpam-5619	274	7	jaradat	jaradat	PROPN
ejpam-5619	274	8	,	,	PUNCT
ejpam-5619	274	9	b.	b.	PROPN
ejpam-5619	274	10	abughazaleh	abughazaleh	PROPN
ejpam-5619	274	11	/	/	SYM
ejpam-5619	274	12	eur	eur	PROPN
ejpam-5619	274	13	.	.	PUNCT
ejpam-5619	275	1	j.	j.	PROPN
ejpam-5619	275	2	pure	pure	PROPN
ejpam-5619	275	3	appl	appl	PROPN
ejpam-5619	275	4	.	.	PROPN
ejpam-5619	275	5	math	math	PROPN
ejpam-5619	275	6	,	,	PUNCT
ejpam-5619	275	7	18	18	NUM
ejpam-5619	275	8	(	(	PUNCT
ejpam-5619	275	9	1	1	NUM
ejpam-5619	275	10	)	)	PUNCT
ejpam-5619	275	11	(	(	PUNCT
ejpam-5619	275	12	2025	2025	NUM
ejpam-5619	275	13	)	)	PUNCT
ejpam-5619	275	14	,	,	PUNCT
ejpam-5619	275	15	5619	5619	NUM
ejpam-5619	275	16	13	13	NUM
ejpam-5619	275	17	of	of	ADP
ejpam-5619	275	18	19	19	NUM
ejpam-5619	275	19	so	so	ADV
ejpam-5619	275	20	,	,	PUNCT
ejpam-5619	275	21	g(η	g(η	PROPN
ejpam-5619	275	22	,	,	PUNCT
ejpam-5619	275	23	θ	θ	NOUN
ejpam-5619	275	24	)	)	PUNCT
ejpam-5619	275	25	=	=	SYM
ejpam-5619	275	26	l−1	l−1	PROPN
ejpam-5619	275	27	η	η	PROPN
ejpam-5619	275	28	w−1	w−1	PROPN
ejpam-5619	275	29	θ	θ	PROPN
ejpam-5619	275	30	(	(	PUNCT
ejpam-5619	275	31	2	2	NUM
ejpam-5619	275	32	δ2ϵ	δ2ϵ	NOUN
ejpam-5619	275	33	−	−	NOUN
ejpam-5619	275	34	1	1	NUM
ejpam-5619	275	35	δϵ	δϵ	NOUN
ejpam-5619	275	36	(	(	PUNCT
ejpam-5619	275	37	1−	1−	NUM
ejpam-5619	275	38	ϵ	ϵ	NOUN
ejpam-5619	275	39	)	)	PUNCT
ejpam-5619	276	1	+	+	CCONJ
ejpam-5619	276	2	1	1	NUM
ejpam-5619	276	3	δ	δ	NOUN
ejpam-5619	276	4	)	)	PUNCT
ejpam-5619	277	1	=	=	SYM
ejpam-5619	277	2	2η	2η	NUM
ejpam-5619	278	1	−	−	NOUN
ejpam-5619	278	2	eθ	eθ	PROPN
ejpam-5619	278	3	+	+	PROPN
ejpam-5619	278	4	θ	θ	PROPN
ejpam-5619	278	5	.	.	PUNCT
ejpam-5619	279	1	its	its	PRON
ejpam-5619	279	2	graph	graph	NOUN
ejpam-5619	279	3	is	be	AUX
ejpam-5619	279	4	figure	figure	NOUN
ejpam-5619	279	5	2	2	NUM
ejpam-5619	279	6	:	:	PUNCT
ejpam-5619	279	7	the	the	DET
ejpam-5619	279	8	solution	solution	NOUN
ejpam-5619	279	9	of	of	ADP
ejpam-5619	279	10	example	example	NOUN
ejpam-5619	279	11	2	2	NUM
ejpam-5619	279	12	example	example	NOUN
ejpam-5619	279	13	3	3	NUM
ejpam-5619	279	14	.	.	X
ejpam-5619	279	15	consider	consider	VERB
ejpam-5619	279	16	the	the	DET
ejpam-5619	279	17	telegraph	telegraph	NOUN
ejpam-5619	279	18	equation	equation	NOUN
ejpam-5619	279	19	2gηη	2gηη	NUM
ejpam-5619	279	20	+	+	CCONJ
ejpam-5619	279	21	gθθ	gθθ	NOUN
ejpam-5619	279	22	−	−	NOUN
ejpam-5619	279	23	gη	gη	NOUN
ejpam-5619	279	24	=	=	SYM
ejpam-5619	279	25	5g(η	5g(η	PROPN
ejpam-5619	279	26	,	,	PUNCT
ejpam-5619	279	27	θ	θ	PROPN
ejpam-5619	279	28	)	)	PUNCT
ejpam-5619	279	29	,	,	PUNCT
ejpam-5619	280	1	where	where	SCONJ
ejpam-5619	280	2	η	η	PROPN
ejpam-5619	280	3	,	,	PUNCT
ejpam-5619	280	4	θ	θ	PROPN
ejpam-5619	280	5	≥	≥	NOUN
ejpam-5619	280	6	0	0	NUM
ejpam-5619	280	7	,	,	PUNCT
ejpam-5619	280	8	with	with	ADP
ejpam-5619	280	9	ics	ics	PROPN
ejpam-5619	280	10	g(η	g(η	PROPN
ejpam-5619	280	11	,	,	PUNCT
ejpam-5619	280	12	0	0	NUM
ejpam-5619	280	13	)	)	PUNCT
ejpam-5619	280	14	=	=	SYM
ejpam-5619	280	15	eη	eη	NOUN
ejpam-5619	280	16	,	,	PUNCT
ejpam-5619	280	17	gθ(η	gθ(η	PROPN
ejpam-5619	280	18	,	,	PUNCT
ejpam-5619	280	19	0	0	NUM
ejpam-5619	280	20	)	)	PUNCT
ejpam-5619	280	21	=	=	SYM
ejpam-5619	280	22	−2eη	−2eη	NOUN
ejpam-5619	280	23	,	,	PUNCT
ejpam-5619	280	24	and	and	CCONJ
ejpam-5619	280	25	bcs	bcs	NOUN
ejpam-5619	280	26	g	g	PROPN
ejpam-5619	280	27	(	(	PUNCT
ejpam-5619	280	28	0	0	NUM
ejpam-5619	280	29	,	,	PUNCT
ejpam-5619	280	30	θ	θ	NOUN
ejpam-5619	280	31	)	)	PUNCT
ejpam-5619	280	32	=	=	SYM
ejpam-5619	280	33	e−2θ	e−2θ	PROPN
ejpam-5619	280	34	,	,	PUNCT
ejpam-5619	280	35	gη	gη	X
ejpam-5619	280	36	(	(	PUNCT
ejpam-5619	280	37	0	0	NUM
ejpam-5619	280	38	,	,	PUNCT
ejpam-5619	280	39	θ	θ	NOUN
ejpam-5619	280	40	)	)	PUNCT
ejpam-5619	280	41	=	=	SYM
ejpam-5619	280	42	e−2θ	e−2θ	NOUN
ejpam-5619	280	43	.	.	PUNCT
ejpam-5619	281	1	solution	solution	NOUN
ejpam-5619	281	2	3	3	NUM
ejpam-5619	281	3	.	.	PUNCT
ejpam-5619	281	4	by	by	ADP
ejpam-5619	281	5	applying	apply	VERB
ejpam-5619	281	6	the	the	DET
ejpam-5619	281	7	single	single	ADJ
ejpam-5619	281	8	laplace	laplace	NOUN
ejpam-5619	281	9	transform	transform	NOUN
ejpam-5619	281	10	to	to	ADP
ejpam-5619	281	11	the	the	DET
ejpam-5619	281	12	ics	ic	NOUN
ejpam-5619	281	13	and	and	CCONJ
ejpam-5619	281	14	the	the	DET
ejpam-5619	281	15	single	single	ADJ
ejpam-5619	281	16	sawi	sawi	ADJ
ejpam-5619	281	17	transform	transform	NOUN
ejpam-5619	281	18	to	to	ADP
ejpam-5619	281	19	the	the	DET
ejpam-5619	281	20	bcs	bc	NOUN
ejpam-5619	281	21	,	,	PUNCT
ejpam-5619	281	22	we	we	PRON
ejpam-5619	281	23	get	get	VERB
ejpam-5619	281	24	p1	p1	NOUN
ejpam-5619	281	25	=	=	NOUN
ejpam-5619	281	26	1	1	NUM
ejpam-5619	281	27	δ−1	δ−1	PROPN
ejpam-5619	281	28	,	,	PUNCT
ejpam-5619	281	29	p2	p2	PROPN
ejpam-5619	281	30	=	=	SYM
ejpam-5619	282	1	−2	−2	PROPN
ejpam-5619	283	1	δ−1	δ−1	PROPN
ejpam-5619	283	2	,	,	PUNCT
ejpam-5619	283	3	q1	q1	PROPN
ejpam-5619	283	4	=	=	SYM
ejpam-5619	283	5	1	1	NUM
ejpam-5619	283	6	ϵ(1	ϵ(1	PROPN
ejpam-5619	283	7	+	+	NOUN
ejpam-5619	283	8	2ϵ	2ϵ	NUM
ejpam-5619	283	9	)	)	PUNCT
ejpam-5619	283	10	,	,	PUNCT
ejpam-5619	283	11	q2	q2	NOUN
ejpam-5619	283	12	=	=	SYM
ejpam-5619	284	1	1	1	NUM
ejpam-5619	284	2	ϵ(1	ϵ(1	PROPN
ejpam-5619	284	3	+	+	NOUN
ejpam-5619	284	4	2ϵ	2ϵ	NUM
ejpam-5619	284	5	)	)	PUNCT
ejpam-5619	284	6	.	.	PUNCT
ejpam-5619	285	1	substitute	substitute	NOUN
ejpam-5619	285	2	in	in	ADP
ejpam-5619	285	3	equation	equation	NOUN
ejpam-5619	285	4	(	(	PUNCT
ejpam-5619	285	5	21	21	NUM
ejpam-5619	285	6	)	)	PUNCT
ejpam-5619	285	7	a1	a1	NOUN
ejpam-5619	285	8	=	=	SYM
ejpam-5619	285	9	2	2	NUM
ejpam-5619	285	10	,	,	PUNCT
ejpam-5619	285	11	a3	a3	NOUN
ejpam-5619	285	12	=	=	SYM
ejpam-5619	285	13	1	1	NUM
ejpam-5619	285	14	,	,	PUNCT
ejpam-5619	285	15	a4	a4	NOUN
ejpam-5619	285	16	=	=	SYM
ejpam-5619	285	17	−1	−1	NOUN
ejpam-5619	285	18	,	,	PUNCT
ejpam-5619	285	19	a6	a6	NOUN
ejpam-5619	285	20	=	=	SYM
ejpam-5619	285	21	−5	−5	NOUN
ejpam-5619	285	22	,	,	PUNCT
ejpam-5619	285	23	a2	a2	PROPN
ejpam-5619	285	24	=	=	SYM
ejpam-5619	285	25	a5	a5	PROPN
ejpam-5619	285	26	=	=	PUNCT
ejpam-5619	285	27	0	0	NUM
ejpam-5619	285	28	and	and	CCONJ
ejpam-5619	285	29	the	the	DET
ejpam-5619	285	30	m.	m.	NOUN
ejpam-5619	285	31	al	al	PROPN
ejpam-5619	285	32	-	-	PUNCT
ejpam-5619	285	33	momani	momani	PROPN
ejpam-5619	285	34	,	,	PUNCT
ejpam-5619	285	35	a.	a.	NOUN
ejpam-5619	285	36	jaradat	jaradat	PROPN
ejpam-5619	285	37	,	,	PUNCT
ejpam-5619	285	38	b.	b.	PROPN
ejpam-5619	285	39	abughazaleh	abughazaleh	PROPN
ejpam-5619	285	40	/	/	SYM
ejpam-5619	285	41	eur	eur	PROPN
ejpam-5619	285	42	.	.	PUNCT
ejpam-5619	286	1	j.	j.	PROPN
ejpam-5619	286	2	pure	pure	PROPN
ejpam-5619	286	3	appl	appl	PROPN
ejpam-5619	286	4	.	.	PROPN
ejpam-5619	286	5	math	math	PROPN
ejpam-5619	286	6	,	,	PUNCT
ejpam-5619	286	7	18	18	NUM
ejpam-5619	286	8	(	(	PUNCT
ejpam-5619	286	9	1	1	NUM
ejpam-5619	286	10	)	)	PUNCT
ejpam-5619	286	11	(	(	PUNCT
ejpam-5619	286	12	2025	2025	NUM
ejpam-5619	286	13	)	)	PUNCT
ejpam-5619	286	14	,	,	PUNCT
ejpam-5619	286	15	5619	5619	NUM
ejpam-5619	286	16	14	14	NUM
ejpam-5619	286	17	of	of	ADP
ejpam-5619	286	18	19	19	NUM
ejpam-5619	286	19	values	value	NOUN
ejpam-5619	286	20	of	of	ADP
ejpam-5619	286	21	p1	p1	NOUN
ejpam-5619	286	22	,	,	PUNCT
ejpam-5619	286	23	p2	p2	NOUN
ejpam-5619	286	24	,	,	PUNCT
ejpam-5619	286	25	q1	q1	NOUN
ejpam-5619	286	26	and	and	CCONJ
ejpam-5619	286	27	q2	q2	NOUN
ejpam-5619	286	28	,	,	PUNCT
ejpam-5619	286	29	we	we	PRON
ejpam-5619	286	30	get	get	VERB
ejpam-5619	286	31	g(δ	g(δ	PROPN
ejpam-5619	286	32	,	,	PUNCT
ejpam-5619	286	33	ϵ	ϵ	X
ejpam-5619	286	34	)	)	PUNCT
ejpam-5619	286	35	=	=	SYM
ejpam-5619	287	1	2δ−1	2δ−1	NUM
ejpam-5619	287	2	ϵ(1	ϵ(1	PROPN
ejpam-5619	287	3	+	+	NOUN
ejpam-5619	287	4	2ϵ	2ϵ	NUM
ejpam-5619	287	5	)	)	PUNCT
ejpam-5619	288	1	+	+	CCONJ
ejpam-5619	288	2	2	2	NUM
ejpam-5619	288	3	ϵ(1	ϵ(1	PROPN
ejpam-5619	288	4	+	+	NOUN
ejpam-5619	288	5	2ϵ	2ϵ	NUM
ejpam-5619	288	6	)	)	PUNCT
ejpam-5619	289	1	+	+	CCONJ
ejpam-5619	289	2	1	1	NUM
ejpam-5619	289	3	ϵ3(δ−1	ϵ3(δ−1	NUM
ejpam-5619	289	4	)	)	PUNCT
ejpam-5619	290	1	−	−	ADP
ejpam-5619	290	2	2	2	NUM
ejpam-5619	290	3	ϵ2(δ−1	ϵ2(δ−1	NUM
ejpam-5619	290	4	)	)	PUNCT
ejpam-5619	291	1	2δ2	2δ2	NUM
ejpam-5619	291	2	−	−	NOUN
ejpam-5619	291	3	1	1	NUM
ejpam-5619	291	4	ϵ2	ϵ2	PROPN
ejpam-5619	291	5	−	−	PROPN
ejpam-5619	292	1	δ	δ	NOUN
ejpam-5619	292	2	−	−	PROPN
ejpam-5619	292	3	5	5	NUM
ejpam-5619	292	4	(	(	PUNCT
ejpam-5619	292	5	23	23	NUM
ejpam-5619	292	6	)	)	PUNCT
ejpam-5619	292	7	=	=	SYM
ejpam-5619	293	1	ϵ2(δ−1)(2δ+1)+(1	ϵ2(δ−1)(2δ+1)+(1	NOUN
ejpam-5619	293	2	+	+	NOUN
ejpam-5619	293	3	2ϵ)−2ϵ(1	2ϵ)−2ϵ(1	PROPN
ejpam-5619	293	4	+	+	NOUN
ejpam-5619	293	5	2ϵ	2ϵ	NUM
ejpam-5619	293	6	)	)	PUNCT
ejpam-5619	293	7	ϵ3(δ−1)(1	ϵ3(δ−1)(1	PUNCT
ejpam-5619	294	1	+	+	NOUN
ejpam-5619	294	2	2ϵ	2ϵ	NUM
ejpam-5619	294	3	)	)	PUNCT
ejpam-5619	295	1	2δ2ϵ2−δϵ2−5ϵ2	2δ2ϵ2−δϵ2−5ϵ2	NUM
ejpam-5619	295	2	+	+	SYM
ejpam-5619	295	3	1	1	NUM
ejpam-5619	295	4	ϵ2	ϵ2	NOUN
ejpam-5619	295	5	.	.	PUNCT
ejpam-5619	296	1	by	by	ADP
ejpam-5619	296	2	simplify	simplify	NOUN
ejpam-5619	296	3	,	,	PUNCT
ejpam-5619	296	4	g(δ	g(δ	PROPN
ejpam-5619	296	5	,	,	PUNCT
ejpam-5619	296	6	ϵ	ϵ	NOUN
ejpam-5619	296	7	)	)	PUNCT
ejpam-5619	296	8	=	=	SYM
ejpam-5619	296	9	1	1	NUM
ejpam-5619	296	10	ϵ	ϵ	X
ejpam-5619	296	11	(	(	PUNCT
ejpam-5619	296	12	δ	δ	NOUN
ejpam-5619	296	13	−	−	PROPN
ejpam-5619	296	14	1	1	NUM
ejpam-5619	296	15	)	)	PUNCT
ejpam-5619	296	16	(	(	PUNCT
ejpam-5619	296	17	1	1	NUM
ejpam-5619	296	18	+	+	NUM
ejpam-5619	296	19	2ϵ	2ϵ	NUM
ejpam-5619	296	20	)	)	PUNCT
ejpam-5619	296	21	.	.	PUNCT
ejpam-5619	297	1	so	so	ADV
ejpam-5619	297	2	,	,	PUNCT
ejpam-5619	297	3	g(η	g(η	PROPN
ejpam-5619	297	4	,	,	PUNCT
ejpam-5619	297	5	θ	θ	NOUN
ejpam-5619	297	6	)	)	PUNCT
ejpam-5619	297	7	=	=	SYM
ejpam-5619	297	8	l−1	l−1	PROPN
ejpam-5619	297	9	η	η	PROPN
ejpam-5619	297	10	w−1	w−1	PROPN
ejpam-5619	297	11	θ	θ	PROPN
ejpam-5619	297	12	(	(	PUNCT
ejpam-5619	297	13	1	1	NUM
ejpam-5619	297	14	ϵ	ϵ	X
ejpam-5619	297	15	(	(	PUNCT
ejpam-5619	297	16	δ	δ	NOUN
ejpam-5619	297	17	−	−	PROPN
ejpam-5619	297	18	1	1	NUM
ejpam-5619	297	19	)	)	PUNCT
ejpam-5619	297	20	(	(	PUNCT
ejpam-5619	297	21	1	1	NUM
ejpam-5619	297	22	+	+	NUM
ejpam-5619	297	23	2ϵ	2ϵ	NUM
ejpam-5619	297	24	)	)	PUNCT
ejpam-5619	297	25	)	)	PUNCT
ejpam-5619	298	1	=	=	SYM
ejpam-5619	298	2	eη−2θ	eη−2θ	PROPN
ejpam-5619	298	3	.	.	PUNCT
ejpam-5619	299	1	its	its	PRON
ejpam-5619	299	2	graph	graph	NOUN
ejpam-5619	299	3	is	be	AUX
ejpam-5619	299	4	figure	figure	NOUN
ejpam-5619	299	5	3	3	NUM
ejpam-5619	299	6	:	:	PUNCT
ejpam-5619	299	7	the	the	DET
ejpam-5619	299	8	solution	solution	NOUN
ejpam-5619	299	9	of	of	ADP
ejpam-5619	299	10	example	example	NOUN
ejpam-5619	299	11	3	3	NUM
ejpam-5619	299	12	m.	m.	NOUN
ejpam-5619	299	13	al	al	PROPN
ejpam-5619	299	14	-	-	PUNCT
ejpam-5619	299	15	momani	momani	PROPN
ejpam-5619	299	16	,	,	PUNCT
ejpam-5619	299	17	a.	a.	NOUN
ejpam-5619	299	18	jaradat	jaradat	PROPN
ejpam-5619	299	19	,	,	PUNCT
ejpam-5619	299	20	b.	b.	PROPN
ejpam-5619	299	21	abughazaleh	abughazaleh	PROPN
ejpam-5619	299	22	/	/	SYM
ejpam-5619	299	23	eur	eur	PROPN
ejpam-5619	299	24	.	.	PUNCT
ejpam-5619	300	1	j.	j.	PROPN
ejpam-5619	300	2	pure	pure	PROPN
ejpam-5619	300	3	appl	appl	PROPN
ejpam-5619	300	4	.	.	PROPN
ejpam-5619	300	5	math	math	PROPN
ejpam-5619	300	6	,	,	PUNCT
ejpam-5619	300	7	18	18	NUM
ejpam-5619	300	8	(	(	PUNCT
ejpam-5619	300	9	1	1	NUM
ejpam-5619	300	10	)	)	PUNCT
ejpam-5619	300	11	(	(	PUNCT
ejpam-5619	300	12	2025	2025	NUM
ejpam-5619	300	13	)	)	PUNCT
ejpam-5619	300	14	,	,	PUNCT
ejpam-5619	300	15	5619	5619	NUM
ejpam-5619	300	16	15	15	NUM
ejpam-5619	300	17	of	of	ADP
ejpam-5619	300	18	19	19	NUM
ejpam-5619	300	19	4.2	4.2	NUM
ejpam-5619	300	20	.	.	PUNCT
ejpam-5619	301	1	double	double	ADJ
ejpam-5619	301	2	laplace	laplace	NOUN
ejpam-5619	301	3	-	-	PUNCT
ejpam-5619	301	4	sawi	sawi	VERB
ejpam-5619	301	5	transform	transform	NOUN
ejpam-5619	301	6	for	for	ADP
ejpam-5619	301	7	solving	solve	VERB
ejpam-5619	301	8	integro	integro	ADJ
ejpam-5619	301	9	partial	partial	ADJ
ejpam-5619	301	10	differential	differential	NOUN
ejpam-5619	301	11	equations	equation	NOUN
ejpam-5619	301	12	example	example	VERB
ejpam-5619	301	13	4	4	NUM
ejpam-5619	301	14	.	.	PUNCT
ejpam-5619	302	1	consider	consider	VERB
ejpam-5619	302	2	the	the	DET
ejpam-5619	302	3	equation	equation	NOUN
ejpam-5619	302	4	of	of	ADP
ejpam-5619	302	5	volterra	volterra	PROPN
ejpam-5619	302	6	integro	integro	PROPN
ejpam-5619	302	7	pde	pde	PROPN
ejpam-5619	302	8	.	.	PUNCT
ejpam-5619	303	1	gη	gη	X
ejpam-5619	304	1	+	+	NUM
ejpam-5619	304	2	gθ	gθ	PROPN
ejpam-5619	304	3	−	−	PROPN
ejpam-5619	304	4	e2η	e2η	PROPN
ejpam-5619	304	5	−	−	PROPN
ejpam-5619	304	6	eθ	eθ	PRON
ejpam-5619	305	1	−	−	PROPN
ejpam-5619	305	2	2e2η+θ	2e2η+θ	NUM
ejpam-5619	305	3	+	+	SYM
ejpam-5619	305	4	1	1	NUM
ejpam-5619	305	5	=	=	SYM
ejpam-5619	305	6	2	2	NUM
ejpam-5619	305	7	η∫	η∫	ADJ
ejpam-5619	305	8	0	0	NUM
ejpam-5619	305	9	θ∫	θ∫	ADJ
ejpam-5619	305	10	0	0	NUM
ejpam-5619	306	1	g(u	g(u	X
ejpam-5619	306	2	,	,	PUNCT
ejpam-5619	306	3	v))dudv	v))dudv	ADJ
ejpam-5619	306	4	,	,	PUNCT
ejpam-5619	306	5	where	where	SCONJ
ejpam-5619	306	6	η	η	PROPN
ejpam-5619	306	7	,	,	PUNCT
ejpam-5619	306	8	θ	θ	PROPN
ejpam-5619	306	9	≥	≥	NOUN
ejpam-5619	306	10	0	0	NUM
ejpam-5619	306	11	,	,	PUNCT
ejpam-5619	306	12	(	(	PUNCT
ejpam-5619	306	13	24	24	NUM
ejpam-5619	306	14	)	)	PUNCT
ejpam-5619	306	15	with	with	ADP
ejpam-5619	306	16	ics	ics	PROPN
ejpam-5619	306	17	g(η	g(η	PROPN
ejpam-5619	306	18	,	,	PUNCT
ejpam-5619	306	19	0	0	NUM
ejpam-5619	306	20	)	)	PUNCT
ejpam-5619	306	21	=	=	SYM
ejpam-5619	307	1	e2η	e2η	PROPN
ejpam-5619	307	2	,	,	PUNCT
ejpam-5619	307	3	g	g	PROPN
ejpam-5619	307	4	(	(	PUNCT
ejpam-5619	307	5	0	0	NUM
ejpam-5619	307	6	,	,	PUNCT
ejpam-5619	307	7	θ	θ	NOUN
ejpam-5619	307	8	)	)	PUNCT
ejpam-5619	307	9	=	=	SYM
ejpam-5619	307	10	eθ	eθ	PROPN
ejpam-5619	307	11	.	.	PROPN
ejpam-5619	307	12	solution	solution	NOUN
ejpam-5619	307	13	4	4	NUM
ejpam-5619	307	14	.	.	PUNCT
ejpam-5619	307	15	by	by	ADP
ejpam-5619	307	16	applying	apply	VERB
ejpam-5619	307	17	the	the	DET
ejpam-5619	307	18	single	single	ADJ
ejpam-5619	307	19	laplace	laplace	NOUN
ejpam-5619	307	20	transform	transform	NOUN
ejpam-5619	307	21	and	and	CCONJ
ejpam-5619	307	22	the	the	DET
ejpam-5619	307	23	single	single	ADJ
ejpam-5619	307	24	sawi	sawi	ADJ
ejpam-5619	307	25	transform	transform	NOUN
ejpam-5619	307	26	to	to	ADP
ejpam-5619	307	27	the	the	DET
ejpam-5619	307	28	ics	ic	NOUN
ejpam-5619	307	29	,	,	PUNCT
ejpam-5619	307	30	we	we	PRON
ejpam-5619	307	31	get	get	VERB
ejpam-5619	307	32	p1	p1	NOUN
ejpam-5619	307	33	=	=	NOUN
ejpam-5619	307	34	1	1	NUM
ejpam-5619	307	35	δ−2	δ−2	PROPN
ejpam-5619	307	36	,	,	PUNCT
ejpam-5619	307	37	q1	q1	NOUN
ejpam-5619	307	38	=	=	SYM
ejpam-5619	307	39	1	1	NUM
ejpam-5619	307	40	ϵ(1−ϵ	ϵ(1−ϵ	NOUN
ejpam-5619	307	41	)	)	PUNCT
ejpam-5619	307	42	.	.	PUNCT
ejpam-5619	308	1	by	by	ADP
ejpam-5619	308	2	definition	definition	NOUN
ejpam-5619	308	3	4	4	NUM
ejpam-5619	308	4	and	and	CCONJ
ejpam-5619	308	5	theorem	theorem	VERB
ejpam-5619	308	6	2	2	NUM
ejpam-5619	308	7	,	,	PUNCT
ejpam-5619	308	8	we	we	PRON
ejpam-5619	308	9	have	have	AUX
ejpam-5619	308	10	η∫	η∫	VERB
ejpam-5619	308	11	0	0	NUM
ejpam-5619	308	12	θ∫	θ∫	ADJ
ejpam-5619	308	13	0	0	NUM
ejpam-5619	309	1	g(u	g(u	X
ejpam-5619	309	2	,	,	PUNCT
ejpam-5619	309	3	v))dudv	v))dudv	NOUN
ejpam-5619	309	4	=	=	SYM
ejpam-5619	309	5	(	(	PUNCT
ejpam-5619	309	6	1	1	NUM
ejpam-5619	309	7	∗	∗	NOUN
ejpam-5619	309	8	∗g	∗g	NUM
ejpam-5619	309	9	)	)	PUNCT
ejpam-5619	309	10	(	(	PUNCT
ejpam-5619	309	11	η	η	PROPN
ejpam-5619	309	12	,	,	PUNCT
ejpam-5619	309	13	θ	θ	PROPN
ejpam-5619	309	14	)	)	PUNCT
ejpam-5619	309	15	.	.	PUNCT
ejpam-5619	310	1	(	(	PUNCT
ejpam-5619	310	2	25	25	NUM
ejpam-5619	310	3	)	)	PUNCT
ejpam-5619	310	4	apply	apply	VERB
ejpam-5619	310	5	the	the	DET
ejpam-5619	310	6	dlswt	dlswt	NOUN
ejpam-5619	310	7	to	to	ADP
ejpam-5619	310	8	equation	equation	NOUN
ejpam-5619	310	9	25	25	NUM
ejpam-5619	310	10	,	,	PUNCT
ejpam-5619	310	11	we	we	PRON
ejpam-5619	310	12	get	get	VERB
ejpam-5619	310	13	δg(δ	δg(δ	VERB
ejpam-5619	310	14	,	,	PUNCT
ejpam-5619	310	15	ϵ)−	ϵ)−	NOUN
ejpam-5619	310	16	1	1	NUM
ejpam-5619	310	17	ϵ	ϵ	X
ejpam-5619	310	18	(	(	PUNCT
ejpam-5619	310	19	1−	1−	NUM
ejpam-5619	310	20	ϵ	ϵ	NOUN
ejpam-5619	310	21	)	)	PUNCT
ejpam-5619	311	1	+	+	CCONJ
ejpam-5619	311	2	1	1	NUM
ejpam-5619	311	3	ϵ	ϵ	PRON
ejpam-5619	311	4	g(δ	g(δ	PROPN
ejpam-5619	311	5	,	,	PUNCT
ejpam-5619	311	6	ϵ)−	ϵ)−	PROPN
ejpam-5619	311	7	1	1	NUM
ejpam-5619	311	8	ϵ2	ϵ2	NOUN
ejpam-5619	311	9	(	(	PUNCT
ejpam-5619	311	10	δ	δ	NOUN
ejpam-5619	311	11	−	−	PROPN
ejpam-5619	311	12	2	2	NUM
ejpam-5619	311	13	)	)	PUNCT
ejpam-5619	311	14	−	−	PROPN
ejpam-5619	311	15	1	1	NUM
ejpam-5619	311	16	ϵ	ϵ	X
ejpam-5619	311	17	(	(	PUNCT
ejpam-5619	311	18	δ	δ	NOUN
ejpam-5619	311	19	−	−	PROPN
ejpam-5619	311	20	2	2	NUM
ejpam-5619	311	21	)	)	PUNCT
ejpam-5619	311	22	−	−	PROPN
ejpam-5619	311	23	1	1	NUM
ejpam-5619	311	24	δϵ	δϵ	NOUN
ejpam-5619	311	25	(	(	PUNCT
ejpam-5619	311	26	1−	1−	NUM
ejpam-5619	311	27	ϵ	ϵ	NOUN
ejpam-5619	311	28	)	)	PUNCT
ejpam-5619	311	29	−	−	PROPN
ejpam-5619	311	30	2	2	NUM
ejpam-5619	311	31	ϵ	ϵ	NOUN
ejpam-5619	311	32	(	(	PUNCT
ejpam-5619	311	33	δ	δ	NOUN
ejpam-5619	311	34	−	−	PROPN
ejpam-5619	311	35	2	2	NUM
ejpam-5619	311	36	)	)	PUNCT
ejpam-5619	311	37	(	(	PUNCT
ejpam-5619	311	38	1−	1−	NUM
ejpam-5619	311	39	ϵ	ϵ	NOUN
ejpam-5619	311	40	)	)	PUNCT
ejpam-5619	312	1	+	+	CCONJ
ejpam-5619	312	2	1	1	NUM
ejpam-5619	312	3	δϵ	δϵ	NOUN
ejpam-5619	312	4	=	=	PUNCT
ejpam-5619	312	5	2ϵ	2ϵ	NUM
ejpam-5619	312	6	δ	δ	PROPN
ejpam-5619	312	7	g(δ	g(δ	PROPN
ejpam-5619	312	8	,	,	PUNCT
ejpam-5619	312	9	ϵ	ϵ	NOUN
ejpam-5619	312	10	)	)	PUNCT
ejpam-5619	312	11	.	.	PUNCT
ejpam-5619	313	1	so	so	ADV
ejpam-5619	313	2	,	,	PUNCT
ejpam-5619	313	3	δ2ϵ+	δ2ϵ+	NOUN
ejpam-5619	313	4	δ	δ	PROPN
ejpam-5619	313	5	−	−	PROPN
ejpam-5619	313	6	2ϵ2	2ϵ2	NUM
ejpam-5619	313	7	δϵ	δϵ	ADP
ejpam-5619	313	8	×g(δ	×g(δ	PROPN
ejpam-5619	313	9	,	,	PUNCT
ejpam-5619	313	10	ϵ	ϵ	NOUN
ejpam-5619	313	11	)	)	PUNCT
ejpam-5619	313	12	=	=	NOUN
ejpam-5619	313	13	δϵ	δϵ	NOUN
ejpam-5619	313	14	(	(	PUNCT
ejpam-5619	313	15	δ	δ	NOUN
ejpam-5619	313	16	−	−	PROPN
ejpam-5619	313	17	2	2	NUM
ejpam-5619	313	18	)	)	PUNCT
ejpam-5619	313	19	+	+	NUM
ejpam-5619	313	20	δ	δ	PROPN
ejpam-5619	313	21	(	(	PUNCT
ejpam-5619	313	22	1−	1−	NUM
ejpam-5619	313	23	ϵ	ϵ	NOUN
ejpam-5619	313	24	)	)	PUNCT
ejpam-5619	314	1	+	+	CCONJ
ejpam-5619	314	2	δϵ	δϵ	X
ejpam-5619	314	3	(	(	PUNCT
ejpam-5619	314	4	1−	1−	NUM
ejpam-5619	314	5	ϵ	ϵ	NOUN
ejpam-5619	314	6	)	)	PUNCT
ejpam-5619	314	7	+	+	CCONJ
ejpam-5619	314	8	ϵ	ϵ	X
ejpam-5619	314	9	(	(	PUNCT
ejpam-5619	314	10	δ	δ	NOUN
ejpam-5619	314	11	−	−	PROPN
ejpam-5619	314	12	2	2	NUM
ejpam-5619	314	13	)	)	PUNCT
ejpam-5619	314	14	+	+	CCONJ
ejpam-5619	314	15	2δϵ−	2δϵ−	NUM
ejpam-5619	314	16	ϵ	ϵ	X
ejpam-5619	314	17	(	(	PUNCT
ejpam-5619	314	18	δ	δ	NOUN
ejpam-5619	314	19	−	−	PROPN
ejpam-5619	314	20	2	2	NUM
ejpam-5619	314	21	)	)	PUNCT
ejpam-5619	314	22	(	(	PUNCT
ejpam-5619	314	23	1−	1−	NUM
ejpam-5619	314	24	ϵ	ϵ	NOUN
ejpam-5619	314	25	)	)	PUNCT
ejpam-5619	314	26	δϵ2	δϵ2	NOUN
ejpam-5619	314	27	(	(	PUNCT
ejpam-5619	314	28	δ	δ	NOUN
ejpam-5619	314	29	−	−	PROPN
ejpam-5619	314	30	2	2	NUM
ejpam-5619	314	31	)	)	PUNCT
ejpam-5619	314	32	(	(	PUNCT
ejpam-5619	314	33	1−	1−	NUM
ejpam-5619	314	34	ϵ	ϵ	NOUN
ejpam-5619	314	35	)	)	PUNCT
ejpam-5619	314	36	.	.	PUNCT
ejpam-5619	315	1	thus	thus	ADV
ejpam-5619	315	2	,	,	PUNCT
ejpam-5619	315	3	g(δ	g(δ	PROPN
ejpam-5619	315	4	,	,	PUNCT
ejpam-5619	315	5	ϵ	ϵ	NOUN
ejpam-5619	315	6	)	)	PUNCT
ejpam-5619	315	7	=	=	VERB
ejpam-5619	315	8	δ2ϵ+	δ2ϵ+	NOUN
ejpam-5619	315	9	δ	δ	PROPN
ejpam-5619	315	10	−	−	NOUN
ejpam-5619	315	11	2ϵ2	2ϵ2	NUM
ejpam-5619	315	12	ϵ	ϵ	X
ejpam-5619	315	13	(	(	PUNCT
ejpam-5619	315	14	δ	δ	PROPN
ejpam-5619	315	15	−	−	PROPN
ejpam-5619	315	16	2	2	NUM
ejpam-5619	315	17	)	)	PUNCT
ejpam-5619	315	18	(	(	PUNCT
ejpam-5619	315	19	1−	1−	NUM
ejpam-5619	315	20	ϵ	ϵ	NOUN
ejpam-5619	315	21	)	)	PUNCT
ejpam-5619	315	22	(	(	PUNCT
ejpam-5619	315	23	δ2ϵ+	δ2ϵ+	NOUN
ejpam-5619	315	24	δ	δ	PROPN
ejpam-5619	315	25	−	−	PROPN
ejpam-5619	315	26	2ϵ2	2ϵ2	NUM
ejpam-5619	315	27	)	)	PUNCT
ejpam-5619	315	28	=	=	SYM
ejpam-5619	315	29	1	1	NUM
ejpam-5619	315	30	ϵ	ϵ	X
ejpam-5619	315	31	(	(	PUNCT
ejpam-5619	315	32	δ	δ	NOUN
ejpam-5619	315	33	−	−	PROPN
ejpam-5619	315	34	2	2	NUM
ejpam-5619	315	35	)	)	PUNCT
ejpam-5619	315	36	(	(	PUNCT
ejpam-5619	315	37	1−	1−	NUM
ejpam-5619	315	38	ϵ	ϵ	NOUN
ejpam-5619	315	39	)	)	PUNCT
ejpam-5619	315	40	.	.	PUNCT
ejpam-5619	316	1	therefore	therefore	ADV
ejpam-5619	316	2	,	,	PUNCT
ejpam-5619	316	3	g(η	g(η	PROPN
ejpam-5619	316	4	,	,	PUNCT
ejpam-5619	316	5	θ	θ	NOUN
ejpam-5619	316	6	)	)	PUNCT
ejpam-5619	316	7	=	=	SYM
ejpam-5619	316	8	l−1	l−1	PROPN
ejpam-5619	316	9	η	η	PROPN
ejpam-5619	316	10	w−1	w−1	PROPN
ejpam-5619	316	11	θ	θ	PROPN
ejpam-5619	316	12	(	(	PUNCT
ejpam-5619	316	13	1	1	NUM
ejpam-5619	316	14	ϵ	ϵ	X
ejpam-5619	316	15	(	(	PUNCT
ejpam-5619	316	16	δ	δ	NOUN
ejpam-5619	316	17	−	−	PROPN
ejpam-5619	316	18	2	2	NUM
ejpam-5619	316	19	)	)	PUNCT
ejpam-5619	316	20	(	(	PUNCT
ejpam-5619	316	21	1−	1−	NUM
ejpam-5619	316	22	ϵ	ϵ	NOUN
ejpam-5619	316	23	)	)	PUNCT
ejpam-5619	316	24	)	)	PUNCT
ejpam-5619	317	1	=	=	SYM
ejpam-5619	317	2	e2η+θ	e2η+θ	X
ejpam-5619	317	3	.	.	PUNCT
ejpam-5619	318	1	m.	m.	PROPN
ejpam-5619	318	2	al	al	PROPN
ejpam-5619	318	3	-	-	PUNCT
ejpam-5619	318	4	momani	momani	PROPN
ejpam-5619	318	5	,	,	PUNCT
ejpam-5619	318	6	a.	a.	NOUN
ejpam-5619	318	7	jaradat	jaradat	PROPN
ejpam-5619	318	8	,	,	PUNCT
ejpam-5619	318	9	b.	b.	PROPN
ejpam-5619	318	10	abughazaleh	abughazaleh	PROPN
ejpam-5619	318	11	/	/	SYM
ejpam-5619	318	12	eur	eur	PROPN
ejpam-5619	318	13	.	.	PUNCT
ejpam-5619	319	1	j.	j.	PROPN
ejpam-5619	319	2	pure	pure	PROPN
ejpam-5619	319	3	appl	appl	PROPN
ejpam-5619	319	4	.	.	PROPN
ejpam-5619	319	5	math	math	PROPN
ejpam-5619	319	6	,	,	PUNCT
ejpam-5619	319	7	18	18	NUM
ejpam-5619	319	8	(	(	PUNCT
ejpam-5619	319	9	1	1	NUM
ejpam-5619	319	10	)	)	PUNCT
ejpam-5619	319	11	(	(	PUNCT
ejpam-5619	319	12	2025	2025	NUM
ejpam-5619	319	13	)	)	PUNCT
ejpam-5619	319	14	,	,	PUNCT
ejpam-5619	319	15	5619	5619	NUM
ejpam-5619	319	16	16	16	NUM
ejpam-5619	319	17	of	of	ADP
ejpam-5619	319	18	19	19	NUM
ejpam-5619	319	19	its	its	PRON
ejpam-5619	319	20	graph	graph	NOUN
ejpam-5619	319	21	is	be	AUX
ejpam-5619	319	22	figure	figure	NOUN
ejpam-5619	319	23	4	4	NUM
ejpam-5619	319	24	:	:	PUNCT
ejpam-5619	319	25	the	the	DET
ejpam-5619	319	26	solution	solution	NOUN
ejpam-5619	319	27	of	of	ADP
ejpam-5619	319	28	example	example	NOUN
ejpam-5619	319	29	4	4	NUM
ejpam-5619	319	30	example	example	NOUN
ejpam-5619	319	31	5	5	NUM
ejpam-5619	319	32	.	.	X
ejpam-5619	320	1	consider	consider	VERB
ejpam-5619	320	2	the	the	DET
ejpam-5619	320	3	equation	equation	NOUN
ejpam-5619	320	4	of	of	ADP
ejpam-5619	320	5	integro	integro	PROPN
ejpam-5619	320	6	pde	pde	NOUN
ejpam-5619	320	7	.	.	PUNCT
ejpam-5619	321	1	gηθ	gηθ	NOUN
ejpam-5619	322	1	+	+	CCONJ
ejpam-5619	322	2	gη	gη	ADP
ejpam-5619	322	3	−	−	NOUN
ejpam-5619	322	4	2eθ	2eθ	NOUN
ejpam-5619	322	5	+	+	CCONJ
ejpam-5619	322	6	η2eθ	η2eθ	PUNCT
ejpam-5619	323	1	−	−	NOUN
ejpam-5619	323	2	η2	η2	ADJ
ejpam-5619	323	3	=	=	SYM
ejpam-5619	323	4	2	2	NUM
ejpam-5619	323	5	η∫	η∫	ADJ
ejpam-5619	323	6	0	0	NUM
ejpam-5619	323	7	θ∫	θ∫	ADJ
ejpam-5619	323	8	0	0	NUM
ejpam-5619	324	1	g(u	g(u	X
ejpam-5619	324	2	,	,	PUNCT
ejpam-5619	324	3	v))dudv	v))dudv	ADJ
ejpam-5619	324	4	,	,	PUNCT
ejpam-5619	324	5	where	where	SCONJ
ejpam-5619	324	6	η	η	PROPN
ejpam-5619	324	7	,	,	PUNCT
ejpam-5619	324	8	θ	θ	PROPN
ejpam-5619	324	9	≥	≥	NOUN
ejpam-5619	324	10	0	0	NUM
ejpam-5619	324	11	,	,	PUNCT
ejpam-5619	324	12	(	(	PUNCT
ejpam-5619	324	13	26	26	NUM
ejpam-5619	324	14	)	)	PUNCT
ejpam-5619	324	15	with	with	ADP
ejpam-5619	324	16	ics	ics	PROPN
ejpam-5619	324	17	g(η	g(η	PROPN
ejpam-5619	324	18	,	,	PUNCT
ejpam-5619	324	19	0	0	NUM
ejpam-5619	324	20	)	)	PUNCT
ejpam-5619	324	21	=	=	SYM
ejpam-5619	324	22	η	η	PROPN
ejpam-5619	324	23	,	,	PUNCT
ejpam-5619	324	24	g	g	PROPN
ejpam-5619	324	25	(	(	PUNCT
ejpam-5619	324	26	0	0	NUM
ejpam-5619	324	27	,	,	PUNCT
ejpam-5619	324	28	θ	θ	NOUN
ejpam-5619	324	29	)	)	PUNCT
ejpam-5619	324	30	=	=	SYM
ejpam-5619	324	31	0	0	X
ejpam-5619	324	32	.	.	PUNCT
ejpam-5619	324	33	solution	solution	NOUN
ejpam-5619	324	34	5	5	NUM
ejpam-5619	324	35	.	.	PUNCT
ejpam-5619	324	36	by	by	ADP
ejpam-5619	324	37	applying	apply	VERB
ejpam-5619	324	38	the	the	DET
ejpam-5619	324	39	single	single	ADJ
ejpam-5619	324	40	laplace	laplace	NOUN
ejpam-5619	324	41	transform	transform	NOUN
ejpam-5619	324	42	and	and	CCONJ
ejpam-5619	324	43	the	the	DET
ejpam-5619	324	44	single	single	ADJ
ejpam-5619	324	45	sawi	sawi	ADJ
ejpam-5619	324	46	transform	transform	NOUN
ejpam-5619	324	47	to	to	ADP
ejpam-5619	324	48	the	the	DET
ejpam-5619	324	49	ics	ic	NOUN
ejpam-5619	324	50	,	,	PUNCT
ejpam-5619	324	51	we	we	PRON
ejpam-5619	324	52	get	get	VERB
ejpam-5619	324	53	p1	p1	NOUN
ejpam-5619	324	54	=	=	SYM
ejpam-5619	324	55	1	1	NUM
ejpam-5619	324	56	δ2	δ2	VERB
ejpam-5619	324	57	,	,	PUNCT
ejpam-5619	324	58	q1	q1	PROPN
ejpam-5619	324	59	=	=	SYM
ejpam-5619	324	60	0	0	X
ejpam-5619	324	61	.	.	PUNCT
ejpam-5619	324	62	apply	apply	VERB
ejpam-5619	324	63	the	the	DET
ejpam-5619	324	64	dlswt	dlswt	NOUN
ejpam-5619	324	65	to	to	ADP
ejpam-5619	324	66	equation	equation	NOUN
ejpam-5619	324	67	26	26	NUM
ejpam-5619	324	68	,	,	PUNCT
ejpam-5619	324	69	we	we	PRON
ejpam-5619	324	70	get	get	VERB
ejpam-5619	324	71	δ	δ	PROPN
ejpam-5619	324	72	ϵ	ϵ	X
ejpam-5619	324	73	g(δ	g(δ	PROPN
ejpam-5619	324	74	,	,	PUNCT
ejpam-5619	324	75	ϵ)−	ϵ)−	PROPN
ejpam-5619	324	76	1	1	NUM
ejpam-5619	324	77	δϵ2	δϵ2	NOUN
ejpam-5619	324	78	+	+	CCONJ
ejpam-5619	324	79	δg(δ	δg(δ	PUNCT
ejpam-5619	324	80	,	,	PUNCT
ejpam-5619	324	81	ϵ)−	ϵ)−	NOUN
ejpam-5619	324	82	2	2	NUM
ejpam-5619	324	83	δϵ	δϵ	NOUN
ejpam-5619	324	84	(	(	PUNCT
ejpam-5619	324	85	1−	1−	NUM
ejpam-5619	324	86	ϵ	ϵ	NOUN
ejpam-5619	324	87	)	)	PUNCT
ejpam-5619	324	88	m.	m.	NOUN
ejpam-5619	324	89	al	al	PROPN
ejpam-5619	324	90	-	-	PUNCT
ejpam-5619	324	91	momani	momani	PROPN
ejpam-5619	324	92	,	,	PUNCT
ejpam-5619	324	93	a.	a.	NOUN
ejpam-5619	324	94	jaradat	jaradat	PROPN
ejpam-5619	324	95	,	,	PUNCT
ejpam-5619	324	96	b.	b.	PROPN
ejpam-5619	324	97	abughazaleh	abughazaleh	PROPN
ejpam-5619	324	98	/	/	SYM
ejpam-5619	324	99	eur	eur	PROPN
ejpam-5619	324	100	.	.	PUNCT
ejpam-5619	325	1	j.	j.	PROPN
ejpam-5619	325	2	pure	pure	PROPN
ejpam-5619	325	3	appl	appl	PROPN
ejpam-5619	325	4	.	.	PROPN
ejpam-5619	325	5	math	math	PROPN
ejpam-5619	325	6	,	,	PUNCT
ejpam-5619	325	7	18	18	NUM
ejpam-5619	325	8	(	(	PUNCT
ejpam-5619	325	9	1	1	NUM
ejpam-5619	325	10	)	)	PUNCT
ejpam-5619	325	11	(	(	PUNCT
ejpam-5619	325	12	2025	2025	NUM
ejpam-5619	325	13	)	)	PUNCT
ejpam-5619	325	14	,	,	PUNCT
ejpam-5619	325	15	5619	5619	NUM
ejpam-5619	325	16	17	17	NUM
ejpam-5619	325	17	of	of	ADP
ejpam-5619	325	18	19	19	NUM
ejpam-5619	325	19	+	+	SYM
ejpam-5619	325	20	2	2	NUM
ejpam-5619	325	21	δ3ϵ	δ3ϵ	X
ejpam-5619	325	22	(	(	PUNCT
ejpam-5619	325	23	1−	1−	NUM
ejpam-5619	325	24	ϵ	ϵ	NOUN
ejpam-5619	325	25	)	)	PUNCT
ejpam-5619	325	26	−	−	PROPN
ejpam-5619	325	27	2	2	NUM
ejpam-5619	325	28	δ3ϵ	δ3ϵ	NOUN
ejpam-5619	325	29	−	−	PROPN
ejpam-5619	325	30	1	1	NUM
ejpam-5619	325	31	ϵ	ϵ	X
ejpam-5619	325	32	(	(	PUNCT
ejpam-5619	325	33	δ	δ	NOUN
ejpam-5619	325	34	−	−	PROPN
ejpam-5619	325	35	2	2	NUM
ejpam-5619	325	36	)	)	PUNCT
ejpam-5619	325	37	=	=	SYM
ejpam-5619	326	1	2ϵ	2ϵ	NUM
ejpam-5619	326	2	δ	δ	PROPN
ejpam-5619	326	3	g(δ	g(δ	PROPN
ejpam-5619	326	4	,	,	PUNCT
ejpam-5619	326	5	ϵ	ϵ	NOUN
ejpam-5619	326	6	)	)	PUNCT
ejpam-5619	326	7	.	.	PUNCT
ejpam-5619	327	1	so	so	ADV
ejpam-5619	327	2	,	,	PUNCT
ejpam-5619	327	3	δ2ϵ+	δ2ϵ+	NOUN
ejpam-5619	327	4	δ2	δ2	VERB
ejpam-5619	327	5	−	−	PROPN
ejpam-5619	327	6	2ϵ2	2ϵ2	NUM
ejpam-5619	327	7	δϵ	δϵ	ADP
ejpam-5619	327	8	×g(δ	×g(δ	PROPN
ejpam-5619	327	9	,	,	PUNCT
ejpam-5619	327	10	ϵ	ϵ	NOUN
ejpam-5619	327	11	)	)	PUNCT
ejpam-5619	327	12	=	=	VERB
ejpam-5619	327	13	δ2	δ2	VERB
ejpam-5619	327	14	(	(	PUNCT
ejpam-5619	327	15	1−	1−	NUM
ejpam-5619	327	16	ϵ	ϵ	NOUN
ejpam-5619	327	17	)	)	PUNCT
ejpam-5619	328	1	+	+	CCONJ
ejpam-5619	328	2	2δ2ϵ−	2δ2ϵ−	NUM
ejpam-5619	328	3	2ϵ+	2ϵ+	NUM
ejpam-5619	328	4	2ϵ	2ϵ	NOUN
ejpam-5619	328	5	(	(	PUNCT
ejpam-5619	328	6	1−	1−	NUM
ejpam-5619	328	7	ϵ	ϵ	NOUN
ejpam-5619	328	8	)	)	PUNCT
ejpam-5619	328	9	δ3ϵ	δ3ϵ	PUNCT
ejpam-5619	328	10	(	(	PUNCT
ejpam-5619	328	11	1−	1−	NUM
ejpam-5619	328	12	ϵ	ϵ	NOUN
ejpam-5619	328	13	)	)	PUNCT
ejpam-5619	328	14	.	.	PUNCT
ejpam-5619	329	1	thus	thus	ADV
ejpam-5619	329	2	,	,	PUNCT
ejpam-5619	329	3	g(δ	g(δ	PROPN
ejpam-5619	329	4	,	,	PUNCT
ejpam-5619	329	5	ϵ	ϵ	NOUN
ejpam-5619	329	6	)	)	PUNCT
ejpam-5619	329	7	=	=	SYM
ejpam-5619	329	8	δ2ϵ+	δ2ϵ+	NOUN
ejpam-5619	329	9	δ2	δ2	VERB
ejpam-5619	329	10	−	−	PROPN
ejpam-5619	329	11	2ϵ2	2ϵ2	PROPN
ejpam-5619	329	12	δ2ϵ	δ2ϵ	NOUN
ejpam-5619	329	13	(	(	PUNCT
ejpam-5619	329	14	1−	1−	NUM
ejpam-5619	329	15	ϵ	ϵ	NOUN
ejpam-5619	329	16	)	)	PUNCT
ejpam-5619	329	17	(	(	PUNCT
ejpam-5619	329	18	δ2ϵ+	δ2ϵ+	NOUN
ejpam-5619	329	19	δ2	δ2	VERB
ejpam-5619	329	20	−	−	PROPN
ejpam-5619	329	21	2ϵ2	2ϵ2	NUM
ejpam-5619	329	22	)	)	PUNCT
ejpam-5619	329	23	=	=	SYM
ejpam-5619	329	24	1	1	NUM
ejpam-5619	329	25	δ2ϵ	δ2ϵ	NOUN
ejpam-5619	329	26	(	(	PUNCT
ejpam-5619	329	27	1−	1−	NUM
ejpam-5619	329	28	ϵ	ϵ	NOUN
ejpam-5619	329	29	)	)	PUNCT
ejpam-5619	329	30	.	.	PUNCT
ejpam-5619	330	1	therefore	therefore	ADV
ejpam-5619	330	2	,	,	PUNCT
ejpam-5619	330	3	g(η	g(η	PROPN
ejpam-5619	330	4	,	,	PUNCT
ejpam-5619	330	5	θ	θ	NOUN
ejpam-5619	330	6	)	)	PUNCT
ejpam-5619	330	7	=	=	SYM
ejpam-5619	330	8	l−1	l−1	PROPN
ejpam-5619	330	9	η	η	PROPN
ejpam-5619	330	10	w−1	w−1	PROPN
ejpam-5619	330	11	θ	θ	PROPN
ejpam-5619	330	12	(	(	PUNCT
ejpam-5619	330	13	1	1	NUM
ejpam-5619	330	14	δ2ϵ	δ2ϵ	PROPN
ejpam-5619	330	15	(	(	PUNCT
ejpam-5619	330	16	1−	1−	NUM
ejpam-5619	330	17	ϵ	ϵ	NOUN
ejpam-5619	330	18	)	)	PUNCT
ejpam-5619	330	19	)	)	PUNCT
ejpam-5619	330	20	=	=	PUNCT
ejpam-5619	330	21	ηeθ	ηeθ	X
ejpam-5619	330	22	.	.	PUNCT
ejpam-5619	331	1	its	its	PRON
ejpam-5619	331	2	graph	graph	NOUN
ejpam-5619	331	3	is	be	AUX
ejpam-5619	331	4	m.	m.	NOUN
ejpam-5619	331	5	al	al	PROPN
ejpam-5619	331	6	-	-	PUNCT
ejpam-5619	331	7	momani	momani	PROPN
ejpam-5619	331	8	,	,	PUNCT
ejpam-5619	331	9	a.	a.	NOUN
ejpam-5619	331	10	jaradat	jaradat	PROPN
ejpam-5619	331	11	,	,	PUNCT
ejpam-5619	331	12	b.	b.	PROPN
ejpam-5619	331	13	abughazaleh	abughazaleh	PROPN
ejpam-5619	331	14	/	/	SYM
ejpam-5619	331	15	eur	eur	PROPN
ejpam-5619	331	16	.	.	PUNCT
ejpam-5619	332	1	j.	j.	PROPN
ejpam-5619	332	2	pure	pure	PROPN
ejpam-5619	332	3	appl	appl	PROPN
ejpam-5619	332	4	.	.	PROPN
ejpam-5619	332	5	math	math	PROPN
ejpam-5619	332	6	,	,	PUNCT
ejpam-5619	332	7	18	18	NUM
ejpam-5619	332	8	(	(	PUNCT
ejpam-5619	332	9	1	1	NUM
ejpam-5619	332	10	)	)	PUNCT
ejpam-5619	332	11	(	(	PUNCT
ejpam-5619	332	12	2025	2025	NUM
ejpam-5619	332	13	)	)	PUNCT
ejpam-5619	332	14	,	,	PUNCT
ejpam-5619	332	15	5619	5619	NUM
ejpam-5619	332	16	18	18	NUM
ejpam-5619	332	17	of	of	ADP
ejpam-5619	332	18	19	19	NUM
ejpam-5619	332	19	figure	figure	NOUN
ejpam-5619	332	20	5	5	NUM
ejpam-5619	332	21	:	:	PUNCT
ejpam-5619	332	22	the	the	DET
ejpam-5619	332	23	solution	solution	NOUN
ejpam-5619	332	24	of	of	ADP
ejpam-5619	332	25	example	example	NOUN
ejpam-5619	332	26	5	5	NUM
ejpam-5619	332	27	5	5	NUM
ejpam-5619	332	28	.	.	PUNCT
ejpam-5619	333	1	conclusion	conclusion	NOUN
ejpam-5619	333	2	in	in	ADP
ejpam-5619	333	3	this	this	DET
ejpam-5619	333	4	paper	paper	NOUN
ejpam-5619	333	5	,	,	PUNCT
ejpam-5619	333	6	we	we	PRON
ejpam-5619	333	7	introduce	introduce	VERB
ejpam-5619	333	8	the	the	DET
ejpam-5619	333	9	double	double	ADJ
ejpam-5619	333	10	laplace	laplace	NOUN
ejpam-5619	333	11	-	-	PUNCT
ejpam-5619	333	12	sawi	sawi	NOUN
ejpam-5619	333	13	transform	transform	NOUN
ejpam-5619	333	14	(	(	PUNCT
ejpam-5619	333	15	dlswt	dlswt	NOUN
ejpam-5619	333	16	)	)	PUNCT
ejpam-5619	333	17	and	and	CCONJ
ejpam-5619	333	18	we	we	PRON
ejpam-5619	333	19	have	have	AUX
ejpam-5619	333	20	delved	delve	VERB
ejpam-5619	333	21	deeply	deeply	ADV
ejpam-5619	333	22	into	into	ADP
ejpam-5619	333	23	the	the	DET
ejpam-5619	333	24	foundational	foundational	ADJ
ejpam-5619	333	25	properties	property	NOUN
ejpam-5619	333	26	of	of	ADP
ejpam-5619	333	27	the	the	DET
ejpam-5619	333	28	proposed	propose	VERB
ejpam-5619	333	29	hybrid	hybrid	NOUN
ejpam-5619	333	30	double	double	ADJ
ejpam-5619	333	31	transform	transform	NOUN
ejpam-5619	333	32	,	,	PUNCT
ejpam-5619	333	33	rigorously	rigorously	ADV
ejpam-5619	333	34	characterizing	characterize	VERB
ejpam-5619	333	35	the	the	DET
ejpam-5619	333	36	necessary	necessary	ADJ
ejpam-5619	333	37	conditions	condition	NOUN
ejpam-5619	333	38	for	for	ADP
ejpam-5619	333	39	its	its	PRON
ejpam-5619	333	40	existence	existence	NOUN
ejpam-5619	333	41	.	.	PUNCT
ejpam-5619	334	1	through	through	ADP
ejpam-5619	334	2	this	this	DET
ejpam-5619	334	3	exploration	exploration	NOUN
ejpam-5619	334	4	,	,	PUNCT
ejpam-5619	334	5	we	we	PRON
ejpam-5619	334	6	have	have	AUX
ejpam-5619	334	7	demonstrated	demonstrate	VERB
ejpam-5619	334	8	the	the	DET
ejpam-5619	334	9	transformative	transformative	ADJ
ejpam-5619	334	10	power	power	NOUN
ejpam-5619	334	11	of	of	ADP
ejpam-5619	334	12	these	these	DET
ejpam-5619	334	13	properties	property	NOUN
ejpam-5619	334	14	in	in	ADP
ejpam-5619	334	15	the	the	DET
ejpam-5619	334	16	realms	realm	NOUN
ejpam-5619	334	17	of	of	ADP
ejpam-5619	334	18	convolution	convolution	NOUN
ejpam-5619	334	19	theory	theory	NOUN
ejpam-5619	334	20	and	and	CCONJ
ejpam-5619	334	21	derivative	derivative	ADJ
ejpam-5619	334	22	operations	operation	NOUN
ejpam-5619	334	23	.	.	PUNCT
ejpam-5619	335	1	by	by	ADP
ejpam-5619	335	2	establishing	establish	VERB
ejpam-5619	335	3	the	the	DET
ejpam-5619	335	4	theoretical	theoretical	ADJ
ejpam-5619	335	5	framework	framework	NOUN
ejpam-5619	335	6	and	and	CCONJ
ejpam-5619	335	7	validating	validate	VERB
ejpam-5619	335	8	its	its	PRON
ejpam-5619	335	9	applicability	applicability	NOUN
ejpam-5619	335	10	.	.	PUNCT
ejpam-5619	336	1	our	our	PRON
ejpam-5619	336	2	discussion	discussion	NOUN
ejpam-5619	336	3	is	be	AUX
ejpam-5619	336	4	realistic	realistic	ADJ
ejpam-5619	336	5	in	in	ADP
ejpam-5619	336	6	that	that	PRON
ejpam-5619	336	7	where	where	SCONJ
ejpam-5619	336	8	appropriate	appropriate	ADJ
ejpam-5619	336	9	we	we	PRON
ejpam-5619	336	10	specify	specify	VERB
ejpam-5619	336	11	earlier	early	ADJ
ejpam-5619	336	12	numerical	numerical	ADJ
ejpam-5619	336	13	procedures	procedure	NOUN
ejpam-5619	336	14	that	that	PRON
ejpam-5619	336	15	benefitted	benefit	VERB
ejpam-5619	336	16	from	from	ADP
ejpam-5619	336	17	our	our	PRON
ejpam-5619	336	18	previous	previous	ADJ
ejpam-5619	336	19	research	research	NOUN
ejpam-5619	336	20	while	while	SCONJ
ejpam-5619	336	21	highlighting	highlight	VERB
ejpam-5619	336	22	the	the	DET
ejpam-5619	336	23	key	key	ADJ
ejpam-5619	336	24	advantages	advantage	NOUN
ejpam-5619	336	25	of	of	ADP
ejpam-5619	336	26	the	the	DET
ejpam-5619	336	27	dlswt	dlswt	NOUN
ejpam-5619	336	28	in	in	ADP
ejpam-5619	336	29	problem	problem	NOUN
ejpam-5619	336	30	solving	solve	VERB
ejpam-5619	336	31	.	.	PUNCT
ejpam-5619	337	1	we	we	PRON
ejpam-5619	337	2	believe	believe	VERB
ejpam-5619	337	3	that	that	SCONJ
ejpam-5619	337	4	the	the	DET
ejpam-5619	337	5	future	future	NOUN
ejpam-5619	337	6	of	of	ADP
ejpam-5619	337	7	the	the	DET
ejpam-5619	337	8	dlswt	dlswt	NOUN
ejpam-5619	337	9	is	be	AUX
ejpam-5619	337	10	profound	profound	ADJ
ejpam-5619	337	11	in	in	ADP
ejpam-5619	337	12	the	the	DET
ejpam-5619	337	13	area	area	NOUN
ejpam-5619	337	14	of	of	ADP
ejpam-5619	337	15	fractional	fractional	ADJ
ejpam-5619	337	16	and	and	CCONJ
ejpam-5619	337	17	conformable	conformable	ADJ
ejpam-5619	337	18	pdes	pde	NOUN
ejpam-5619	337	19	and	and	CCONJ
ejpam-5619	337	20	integro	integro	ADJ
ejpam-5619	337	21	pdes	pde	NOUN
ejpam-5619	337	22	with	with	ADP
ejpam-5619	337	23	coefficients	coefficient	NOUN
ejpam-5619	337	24	that	that	PRON
ejpam-5619	337	25	vary	vary	VERB
ejpam-5619	337	26	.	.	PUNCT
ejpam-5619	338	1	more	more	ADV
ejpam-5619	338	2	related	related	ADJ
ejpam-5619	338	3	results	result	NOUN
ejpam-5619	338	4	on	on	ADP
ejpam-5619	338	5	fractional	fractional	ADJ
ejpam-5619	338	6	and	and	CCONJ
ejpam-5619	338	7	conformable	conformable	ADJ
ejpam-5619	338	8	pdes	pde	NOUN
ejpam-5619	338	9	and	and	CCONJ
ejpam-5619	338	10	integro	integro	ADJ
ejpam-5619	338	11	pdes	pde	NOUN
ejpam-5619	338	12	can	can	AUX
ejpam-5619	338	13	be	be	AUX
ejpam-5619	338	14	found	find	VERB
ejpam-5619	338	15	in	in	ADP
ejpam-5619	338	16	[	[	X
ejpam-5619	338	17	11–14	11–14	NUM
ejpam-5619	338	18	]	]	PUNCT
ejpam-5619	338	19	.	.	PUNCT
ejpam-5619	339	1	author	author	NOUN
ejpam-5619	339	2	contribution	contribution	NOUN
ejpam-5619	339	3	statement	statement	NOUN
ejpam-5619	339	4	the	the	DET
ejpam-5619	339	5	authors	author	NOUN
ejpam-5619	339	6	listed	list	VERB
ejpam-5619	339	7	have	have	AUX
ejpam-5619	339	8	significantly	significantly	ADV
ejpam-5619	339	9	contributed	contribute	VERB
ejpam-5619	339	10	to	to	ADP
ejpam-5619	339	11	the	the	DET
ejpam-5619	339	12	development	development	NOUN
ejpam-5619	339	13	and	and	CCONJ
ejpam-5619	339	14	the	the	DET
ejpam-5619	339	15	writing	writing	NOUN
ejpam-5619	339	16	of	of	ADP
ejpam-5619	339	17	this	this	DET
ejpam-5619	339	18	article	article	NOUN
ejpam-5619	339	19	.	.	PUNCT
ejpam-5619	340	1	m.	m.	PROPN
ejpam-5619	340	2	al	al	PROPN
ejpam-5619	340	3	-	-	PUNCT
ejpam-5619	340	4	momani	momani	PROPN
ejpam-5619	340	5	,	,	PUNCT
ejpam-5619	340	6	a.	a.	NOUN
ejpam-5619	340	7	jaradat	jaradat	PROPN
ejpam-5619	340	8	,	,	PUNCT
ejpam-5619	340	9	b.	b.	PROPN
ejpam-5619	340	10	abughazaleh	abughazaleh	PROPN
ejpam-5619	340	11	/	/	SYM
ejpam-5619	340	12	eur	eur	PROPN
ejpam-5619	340	13	.	.	PUNCT
ejpam-5619	341	1	j.	j.	PROPN
ejpam-5619	341	2	pure	pure	PROPN
ejpam-5619	341	3	appl	appl	PROPN
ejpam-5619	341	4	.	.	PROPN
ejpam-5619	341	5	math	math	PROPN
ejpam-5619	341	6	,	,	PUNCT
ejpam-5619	341	7	18	18	NUM
ejpam-5619	341	8	(	(	PUNCT
ejpam-5619	341	9	1	1	NUM
ejpam-5619	341	10	)	)	PUNCT
ejpam-5619	341	11	(	(	PUNCT
ejpam-5619	341	12	2025	2025	NUM
ejpam-5619	341	13	)	)	PUNCT
ejpam-5619	341	14	,	,	PUNCT
ejpam-5619	341	15	5619	5619	NUM
ejpam-5619	341	16	19	19	NUM
ejpam-5619	341	17	of	of	ADP
ejpam-5619	341	18	19	19	NUM
ejpam-5619	341	19	data	datum	NOUN
ejpam-5619	341	20	availability	availability	NOUN
ejpam-5619	341	21	statement	statement	NOUN
ejpam-5619	341	22	no	no	DET
ejpam-5619	341	23	data	datum	NOUN
ejpam-5619	341	24	was	be	AUX
ejpam-5619	341	25	used	use	VERB
ejpam-5619	341	26	for	for	ADP
ejpam-5619	341	27	the	the	DET
ejpam-5619	341	28	research	research	NOUN
ejpam-5619	341	29	described	describe	VERB
ejpam-5619	341	30	in	in	ADP
ejpam-5619	341	31	the	the	DET
ejpam-5619	341	32	article	article	NOUN
ejpam-5619	341	33	.	.	PUNCT
ejpam-5619	342	1	conflict	conflict	NOUN
ejpam-5619	342	2	of	of	ADP
ejpam-5619	342	3	interest	interest	NOUN
ejpam-5619	342	4	the	the	DET
ejpam-5619	342	5	authors	author	NOUN
ejpam-5619	342	6	declare	declare	VERB
ejpam-5619	342	7	that	that	SCONJ
ejpam-5619	342	8	they	they	PRON
ejpam-5619	342	9	have	have	VERB
ejpam-5619	342	10	no	no	DET
ejpam-5619	342	11	conflict	conflict	NOUN
ejpam-5619	342	12	of	of	ADP
ejpam-5619	342	13	interest	interest	NOUN
ejpam-5619	342	14	.	.	PUNCT
ejpam-5619	343	1	references	reference	NOUN
ejpam-5619	343	2	[	[	X
ejpam-5619	343	3	1	1	NUM
ejpam-5619	343	4	]	]	PUNCT
ejpam-5619	343	5	m	m	VERB
ejpam-5619	343	6	mahgoub	mahgoub	NOUN
ejpam-5619	343	7	and	and	CCONJ
ejpam-5619	343	8	mmohand	mmohand	NOUN
ejpam-5619	343	9	.	.	PUNCT
ejpam-5619	344	1	the	the	DET
ejpam-5619	344	2	new	new	ADJ
ejpam-5619	344	3	integral	integral	ADJ
ejpam-5619	344	4	transform	transform	NOUN
ejpam-5619	344	5	“	"	PUNCT
ejpam-5619	344	6	sawi	sawi	ADJ
ejpam-5619	344	7	transform	transform	NOUN
ejpam-5619	344	8	”	"	PUNCT
ejpam-5619	344	9	.	.	PUNCT
ejpam-5619	345	1	advances	advance	NOUN
ejpam-5619	345	2	in	in	ADP
ejpam-5619	345	3	theoretical	theoretical	ADJ
ejpam-5619	345	4	and	and	CCONJ
ejpam-5619	345	5	applied	applied	ADJ
ejpam-5619	345	6	mathematics	mathematic	NOUN
ejpam-5619	345	7	,	,	PUNCT
ejpam-5619	345	8	14(1	14(1	NUM
ejpam-5619	345	9	):	):	PUNCT
ejpam-5619	345	10	81	81	NUM
ejpam-5619	345	11	-	-	SYM
ejpam-5619	345	12	87	87	NUM
ejpam-5619	345	13	,	,	PUNCT
ejpam-5619	345	14	2019	2019	NUM
ejpam-5619	345	15	.	.	PUNCT
ejpam-5619	346	1	[	[	X
ejpam-5619	346	2	2	2	NUM
ejpam-5619	346	3	]	]	PUNCT
ejpam-5619	346	4	m	m	VERB
ejpam-5619	346	5	higazy	higazy	ADJ
ejpam-5619	346	6	and	and	CCONJ
ejpam-5619	346	7	s	s	NOUN
ejpam-5619	346	8	aggarwal	aggarwal	NOUN
ejpam-5619	346	9	.	.	PUNCT
ejpam-5619	347	1	sawi	sawi	ADJ
ejpam-5619	347	2	transformation	transformation	NOUN
ejpam-5619	347	3	for	for	ADP
ejpam-5619	347	4	system	system	NOUN
ejpam-5619	347	5	of	of	ADP
ejpam-5619	347	6	ordinary	ordinary	ADJ
ejpam-5619	347	7	differential	differential	ADJ
ejpam-5619	347	8	equations	equation	NOUN
ejpam-5619	347	9	with	with	ADP
ejpam-5619	347	10	application	application	NOUN
ejpam-5619	347	11	.	.	PUNCT
ejpam-5619	348	1	ain	ain	PROPN
ejpam-5619	348	2	shams	sham	VERB
ejpam-5619	348	3	engineering	engineering	NOUN
ejpam-5619	348	4	journal	journal	NOUN
ejpam-5619	348	5	,	,	PUNCT
ejpam-5619	348	6	12	12	NUM
ejpam-5619	348	7	:	:	PUNCT
ejpam-5619	348	8	3173	3173	NUM
ejpam-5619	348	9	-	-	SYM
ejpam-5619	348	10	3182	3182	NUM
ejpam-5619	348	11	,	,	PUNCT
ejpam-5619	348	12	2021	2021	NUM
ejpam-5619	348	13	.	.	PUNCT
ejpam-5619	349	1	[	[	X
ejpam-5619	349	2	3	3	X
ejpam-5619	349	3	]	]	PUNCT
ejpam-5619	349	4	gk	gk	NOUN
ejpam-5619	349	5	watugala	watugala	NOUN
ejpam-5619	349	6	.	.	PUNCT
ejpam-5619	350	1	sumudu	sumudu	NOUN
ejpam-5619	350	2	transform	transform	NOUN
ejpam-5619	350	3	:	:	PUNCT
ejpam-5619	350	4	a	a	DET
ejpam-5619	350	5	new	new	ADJ
ejpam-5619	350	6	integral	integral	ADJ
ejpam-5619	350	7	transform	transform	NOUN
ejpam-5619	350	8	to	to	PART
ejpam-5619	350	9	solve	solve	VERB
ejpam-5619	350	10	differential	differential	ADJ
ejpam-5619	350	11	equations	equation	NOUN
ejpam-5619	350	12	and	and	CCONJ
ejpam-5619	350	13	control	control	NOUN
ejpam-5619	350	14	engineering	engineering	NOUN
ejpam-5619	350	15	problems	problem	NOUN
ejpam-5619	350	16	.	.	PUNCT
ejpam-5619	351	1	international	international	ADJ
ejpam-5619	351	2	journal	journal	PROPN
ejpam-5619	351	3	of	of	ADP
ejpam-5619	351	4	mathematical	mathematical	ADJ
ejpam-5619	351	5	education	education	NOUN
ejpam-5619	351	6	in	in	ADP
ejpam-5619	351	7	science	science	NOUN
ejpam-5619	351	8	and	and	CCONJ
ejpam-5619	351	9	technology	technology	NOUN
ejpam-5619	351	10	,	,	PUNCT
ejpam-5619	351	11	24(1	24(1	NUM
ejpam-5619	351	12	):	):	PUNCT
ejpam-5619	351	13	35	35	NUM
ejpam-5619	351	14	-	-	SYM
ejpam-5619	351	15	43	43	NUM
ejpam-5619	351	16	,	,	PUNCT
ejpam-5619	351	17	1993	1993	NUM
ejpam-5619	351	18	.	.	PUNCT
ejpam-5619	352	1	[	[	X
ejpam-5619	352	2	4	4	NUM
ejpam-5619	352	3	]	]	X
ejpam-5619	352	4	r	r	NOUN
ejpam-5619	352	5	saadeh	saadeh	VERB
ejpam-5619	352	6	a	a	DET
ejpam-5619	352	7	qazza	qazza	NOUN
ejpam-5619	352	8	and	and	CCONJ
ejpam-5619	352	9	a	a	DET
ejpam-5619	352	10	burqan	burqan	NOUN
ejpam-5619	352	11	.	.	PUNCT
ejpam-5619	353	1	a	a	DET
ejpam-5619	353	2	new	new	ADJ
ejpam-5619	353	3	integral	integral	ADJ
ejpam-5619	353	4	transform	transform	NOUN
ejpam-5619	353	5	:	:	PUNCT
ejpam-5619	353	6	ara	ara	NOUN
ejpam-5619	353	7	transform	transform	NOUN
ejpam-5619	353	8	and	and	CCONJ
ejpam-5619	353	9	its	its	PRON
ejpam-5619	353	10	properties	property	NOUN
ejpam-5619	353	11	and	and	CCONJ
ejpam-5619	353	12	applications	application	NOUN
ejpam-5619	353	13	.	.	PUNCT
ejpam-5619	354	1	symmetry	symmetry	NOUN
ejpam-5619	354	2	,	,	PUNCT
ejpam-5619	354	3	12	12	NUM
ejpam-5619	354	4	:	:	SYM
ejpam-5619	354	5	925	925	NUM
ejpam-5619	354	6	,	,	PUNCT
ejpam-5619	354	7	2020	2020	NUM
ejpam-5619	354	8	.	.	PUNCT
ejpam-5619	355	1	[	[	X
ejpam-5619	355	2	5	5	NUM
ejpam-5619	355	3	]	]	X
ejpam-5619	355	4	k	k	PROPN
ejpam-5619	355	5	aboodh	aboodh	PROPN
ejpam-5619	355	6	i	i	PRON
ejpam-5619	355	7	abdullahi	abdullahi	PROPN
ejpam-5619	355	8	and	and	CCONJ
ejpam-5619	355	9	r	r	NOUN
ejpam-5619	355	10	nuruddeen	nuruddeen	NUM
ejpam-5619	355	11	.	.	PUNCT
ejpam-5619	356	1	on	on	ADP
ejpam-5619	356	2	the	the	DET
ejpam-5619	356	3	aboodh	aboodh	PROPN
ejpam-5619	356	4	transform	transform	VERB
ejpam-5619	356	5	connections	connection	NOUN
ejpam-5619	356	6	with	with	ADP
ejpam-5619	356	7	some	some	DET
ejpam-5619	356	8	famous	famous	ADJ
ejpam-5619	356	9	integral	integral	ADJ
ejpam-5619	356	10	transforms	transform	NOUN
ejpam-5619	356	11	.	.	PUNCT
ejpam-5619	357	1	int	int	NOUN
ejpam-5619	357	2	.	.	PUNCT
ejpam-5619	358	1	j.eng	j.eng	X
ejpam-5619	358	2	.	.	PUNCT
ejpam-5619	359	1	inform	inform	NOUN
ejpam-5619	359	2	.	.	PUNCT
ejpam-5619	360	1	syst	syst	PROPN
ejpam-5619	360	2	.	.	PROPN
ejpam-5619	360	3	,	,	PUNCT
ejpam-5619	360	4	1	1	NUM
ejpam-5619	360	5	:	:	PUNCT
ejpam-5619	360	6	143	143	NUM
ejpam-5619	360	7	-	-	SYM
ejpam-5619	360	8	151	151	NUM
ejpam-5619	360	9	,	,	PUNCT
ejpam-5619	360	10	2017	2017	NUM
ejpam-5619	360	11	.	.	PUNCT
ejpam-5619	361	1	[	[	X
ejpam-5619	361	2	6	6	NUM
ejpam-5619	361	3	]	]	PUNCT
ejpam-5619	361	4	a	a	DET
ejpam-5619	361	5	aghili	aghili	NOUN
ejpam-5619	361	6	and	and	CCONJ
ejpam-5619	361	7	b	b	NOUN
ejpam-5619	361	8	parsa	parsa	ADJ
ejpam-5619	361	9	moghaddam	moghaddam	NOUN
ejpam-5619	361	10	.	.	PUNCT
ejpam-5619	362	1	certain	certain	ADJ
ejpam-5619	362	2	theorems	theorem	NOUN
ejpam-5619	362	3	on	on	ADP
ejpam-5619	362	4	two	two	NUM
ejpam-5619	362	5	dimensional	dimensional	ADJ
ejpam-5619	362	6	laplace	laplace	NOUN
ejpam-5619	362	7	transform	transform	NOUN
ejpam-5619	362	8	and	and	CCONJ
ejpam-5619	362	9	non	non	ADJ
ejpam-5619	362	10	-	-	ADJ
ejpam-5619	362	11	homogeneous	homogeneous	ADJ
ejpam-5619	362	12	parabolic	parabolic	ADJ
ejpam-5619	362	13	partial	partial	ADJ
ejpam-5619	362	14	differential	differential	NOUN
ejpam-5619	362	15	equations	equation	NOUN
ejpam-5619	362	16	.	.	PUNCT
ejpam-5619	363	1	surv	surv	PROPN
ejpam-5619	363	2	.	.	PUNCT
ejpam-5619	364	1	math	math	NOUN
ejpam-5619	364	2	.	.	PUNCT
ejpam-5619	365	1	its	its	PRON
ejpam-5619	365	2	appl	appl	NOUN
ejpam-5619	365	3	.	.	PROPN
ejpam-5619	365	4	,	,	PUNCT
ejpam-5619	365	5	6	6	NUM
ejpam-5619	365	6	:	:	SYM
ejpam-5619	365	7	165	165	NUM
ejpam-5619	365	8	-	-	SYM
ejpam-5619	365	9	174	174	NUM
ejpam-5619	365	10	,	,	PUNCT
ejpam-5619	365	11	2011	2011	NUM
ejpam-5619	365	12	.	.	PUNCT
ejpam-5619	366	1	[	[	X
ejpam-5619	366	2	7	7	X
ejpam-5619	366	3	]	]	X
ejpam-5619	366	4	ak	ak	PROPN
ejpam-5619	366	5	sedeeg	sedeeg	PROPN
ejpam-5619	366	6	zi	zi	PROPN
ejpam-5619	366	7	mahamoud	mahamoud	NOUN
ejpam-5619	366	8	and	and	CCONJ
ejpam-5619	366	9	r	r	NOUN
ejpam-5619	366	10	saadeh	saadeh	PROPN
ejpam-5619	366	11	.	.	PUNCT
ejpam-5619	367	1	using	use	VERB
ejpam-5619	367	2	double	double	ADJ
ejpam-5619	367	3	integral	integral	ADJ
ejpam-5619	367	4	transform	transform	NOUN
ejpam-5619	367	5	(	(	PUNCT
ejpam-5619	367	6	laplaceara	laplaceara	ADJ
ejpam-5619	367	7	transform	transform	NOUN
ejpam-5619	367	8	)	)	PUNCT
ejpam-5619	367	9	in	in	ADP
ejpam-5619	367	10	solving	solve	VERB
ejpam-5619	367	11	partial	partial	ADJ
ejpam-5619	367	12	differential	differential	NOUN
ejpam-5619	367	13	equations	equation	NOUN
ejpam-5619	367	14	.	.	PUNCT
ejpam-5619	368	1	symmetry	symmetry	NOUN
ejpam-5619	368	2	,	,	PUNCT
ejpam-5619	368	3	14(11	14(11	NUM
ejpam-5619	368	4	):	):	PUNCT
ejpam-5619	368	5	2418	2418	NUM
ejpam-5619	368	6	,	,	PUNCT
ejpam-5619	368	7	2022	2022	NUM
ejpam-5619	368	8	.	.	PUNCT
ejpam-5619	369	1	[	[	X
ejpam-5619	369	2	8	8	NUM
ejpam-5619	369	3	]	]	SYM
ejpam-5619	369	4	m	m	VERB
ejpam-5619	369	5	hunaiber	hunaiber	NOUN
ejpam-5619	369	6	and	and	CCONJ
ejpam-5619	369	7	a	a	DET
ejpam-5619	369	8	al	al	PROPN
ejpam-5619	369	9	-	-	PUNCT
ejpam-5619	369	10	aati	aati	PROPN
ejpam-5619	369	11	.	.	PUNCT
ejpam-5619	370	1	on	on	ADP
ejpam-5619	370	2	double	double	ADJ
ejpam-5619	370	3	laplace	laplace	NOUN
ejpam-5619	370	4	-	-	PUNCT
ejpam-5619	370	5	shehu	shehu	NOUN
ejpam-5619	370	6	transform	transform	NOUN
ejpam-5619	370	7	and	and	CCONJ
ejpam-5619	370	8	its	its	PRON
ejpam-5619	370	9	properties	property	NOUN
ejpam-5619	370	10	with	with	ADP
ejpam-5619	370	11	applications	application	NOUN
ejpam-5619	370	12	.	.	PUNCT
ejpam-5619	371	1	turkish	turkish	ADJ
ejpam-5619	371	2	journal	journal	NOUN
ejpam-5619	371	3	of	of	ADP
ejpam-5619	371	4	mathematics	mathematic	NOUN
ejpam-5619	371	5	and	and	CCONJ
ejpam-5619	371	6	computer	computer	NOUN
ejpam-5619	371	7	science	science	NOUN
ejpam-5619	371	8	,	,	PUNCT
ejpam-5619	371	9	15(2	15(2	NUM
ejpam-5619	371	10	):	):	PUNCT
ejpam-5619	371	11	218	218	NUM
ejpam-5619	371	12	-	-	SYM
ejpam-5619	371	13	226	226	NUM
ejpam-5619	371	14	,	,	PUNCT
ejpam-5619	371	15	2023	2023	NUM
ejpam-5619	371	16	.	.	PUNCT
ejpam-5619	372	1	[	[	X
ejpam-5619	372	2	9	9	NUM
ejpam-5619	372	3	]	]	X
ejpam-5619	372	4	s	s	PART
ejpam-5619	372	5	khan	khan	PROPN
ejpam-5619	372	6	a	a	DET
ejpam-5619	372	7	ullah	ullah	PROPN
ejpam-5619	372	8	m	m	PROPN
ejpam-5619	372	9	de	de	PROPN
ejpam-5619	372	10	la	la	X
ejpam-5619	372	11	sen	sen	PROPN
ejpam-5619	372	12	and	and	CCONJ
ejpam-5619	372	13	s	s	PROPN
ejpam-5619	372	14	ahmad	ahmad	PROPN
ejpam-5619	372	15	.	.	PUNCT
ejpam-5619	373	1	double	double	ADJ
ejpam-5619	373	2	sawi	sawi	PROPN
ejpam-5619	373	3	transform	transform	NOUN
ejpam-5619	373	4	:	:	PUNCT
ejpam-5619	373	5	theory	theory	NOUN
ejpam-5619	373	6	and	and	CCONJ
ejpam-5619	373	7	applications	application	NOUN
ejpam-5619	373	8	to	to	ADP
ejpam-5619	373	9	boundary	boundary	ADJ
ejpam-5619	373	10	values	value	NOUN
ejpam-5619	373	11	problems	problem	NOUN
ejpam-5619	373	12	.	.	PUNCT
ejpam-5619	374	1	symmetry	symmetry	NOUN
ejpam-5619	374	2	,	,	PUNCT
ejpam-5619	374	3	15(4	15(4	NUM
ejpam-5619	374	4	):	):	PUNCT
ejpam-5619	374	5	921	921	NUM
ejpam-5619	374	6	,	,	PUNCT
ejpam-5619	374	7	2023	2023	NUM
ejpam-5619	374	8	.	.	PUNCT
ejpam-5619	375	1	[	[	X
ejpam-5619	375	2	10	10	NUM
ejpam-5619	375	3	]	]	SYM
ejpam-5619	375	4	b	b	X
ejpam-5619	375	5	abughazaleh	abughazaleh	NOUN
ejpam-5619	375	6	ma	ma	PROPN
ejpam-5619	375	7	amleh	amleh	VERB
ejpam-5619	375	8	a	a	DET
ejpam-5619	375	9	al	al	PROPN
ejpam-5619	375	10	-	-	PUNCT
ejpam-5619	375	11	natoor	natoor	NOUN
ejpam-5619	375	12	and	and	CCONJ
ejpam-5619	375	13	r	r	NOUN
ejpam-5619	375	14	saadeh	saadeh	PROPN
ejpam-5619	375	15	.	.	PUNCT
ejpam-5619	376	1	double	double	ADJ
ejpam-5619	376	2	mellin	mellin	PROPN
ejpam-5619	376	3	-	-	PUNCT
ejpam-5619	376	4	ara	ara	NOUN
ejpam-5619	376	5	transform	transform	NOUN
ejpam-5619	376	6	.	.	PUNCT
ejpam-5619	377	1	springer	springer	NOUN
ejpam-5619	377	2	proceedings	proceeding	NOUN
ejpam-5619	377	3	in	in	ADP
ejpam-5619	377	4	mathematics	mathematic	NOUN
ejpam-5619	377	5	and	and	CCONJ
ejpam-5619	377	6	statistics	statistic	NOUN
ejpam-5619	377	7	,	,	PUNCT
ejpam-5619	377	8	466	466	NUM
ejpam-5619	377	9	:	:	SYM
ejpam-5619	377	10	383	383	NUM
ejpam-5619	377	11	-	-	SYM
ejpam-5619	377	12	394	394	NUM
ejpam-5619	377	13	,	,	PUNCT
ejpam-5619	377	14	2024	2024	NUM
ejpam-5619	377	15	.	.	PUNCT
ejpam-5619	378	1	[	[	X
ejpam-5619	378	2	11	11	NUM
ejpam-5619	378	3	]	]	X
ejpam-5619	378	4	hk	hk	PROPN
ejpam-5619	378	5	jassim	jassim	NOUN
ejpam-5619	378	6	and	and	CCONJ
ejpam-5619	378	7	h	h	PROPN
ejpam-5619	378	8	kadhim	kadhim	ADJ
ejpam-5619	378	9	.	.	PUNCT
ejpam-5619	379	1	fractional	fractional	ADJ
ejpam-5619	379	2	sumudu	sumudu	NOUN
ejpam-5619	379	3	decomposition	decomposition	NOUN
ejpam-5619	379	4	method	method	NOUN
ejpam-5619	379	5	for	for	ADP
ejpam-5619	379	6	solving	solve	VERB
ejpam-5619	379	7	pdes	pde	NOUN
ejpam-5619	379	8	of	of	ADP
ejpam-5619	379	9	fractional	fractional	ADJ
ejpam-5619	379	10	order	order	NOUN
ejpam-5619	379	11	.	.	PUNCT
ejpam-5619	380	1	j.	j.	PROPN
ejpam-5619	380	2	appl	appl	PROPN
ejpam-5619	380	3	.	.	PUNCT
ejpam-5619	381	1	comput	comput	PROPN
ejpam-5619	381	2	.	.	PUNCT
ejpam-5619	382	1	mech	mech	PROPN
ejpam-5619	382	2	.	.	PROPN
ejpam-5619	382	3	,	,	PUNCT
ejpam-5619	382	4	7	7	NUM
ejpam-5619	382	5	,	,	PUNCT
ejpam-5619	382	6	302	302	NUM
ejpam-5619	382	7	-	-	SYM
ejpam-5619	382	8	311	311	NUM
ejpam-5619	382	9	,	,	PUNCT
ejpam-5619	382	10	2021	2021	NUM
ejpam-5619	382	11	.	.	PUNCT
ejpam-5619	383	1	[	[	X
ejpam-5619	383	2	12	12	NUM
ejpam-5619	383	3	]	]	X
ejpam-5619	383	4	h	h	NOUN
ejpam-5619	383	5	jafari	jafari	PROPN
ejpam-5619	383	6	hk	hk	PROPN
ejpam-5619	383	7	jassim	jassim	PROPN
ejpam-5619	383	8	and	and	CCONJ
ejpam-5619	383	9	c	c	PROPN
ejpam-5619	383	10	&	&	CCONJ
ejpam-5619	383	11	ãœnlãœ	ãœnlãœ	PROPN
ejpam-5619	383	12	.	.	PUNCT
ejpam-5619	384	1	laplace	laplace	NOUN
ejpam-5619	384	2	decomposition	decomposition	NOUN
ejpam-5619	384	3	method	method	NOUN
ejpam-5619	384	4	for	for	ADP
ejpam-5619	384	5	solving	solve	VERB
ejpam-5619	384	6	the	the	DET
ejpam-5619	384	7	two	two	NUM
ejpam-5619	384	8	-	-	PUNCT
ejpam-5619	384	9	dimensional	dimensional	ADJ
ejpam-5619	384	10	diffusion	diffusion	NOUN
ejpam-5619	384	11	problem	problem	NOUN
ejpam-5619	384	12	in	in	ADP
ejpam-5619	384	13	fractal	fractal	ADJ
ejpam-5619	384	14	heat	heat	NOUN
ejpam-5619	384	15	transfer	transfer	NOUN
ejpam-5619	384	16	.	.	PUNCT
ejpam-5619	385	1	fractals	fractal	NOUN
ejpam-5619	385	2	(	(	PUNCT
ejpam-5619	385	3	fractals	fractal	NOUN
ejpam-5619	385	4	)	)	PUNCT
ejpam-5619	385	5	,	,	PUNCT
ejpam-5619	385	6	32(4	32(4	NUM
ejpam-5619	385	7	):	):	PUNCT
ejpam-5619	385	8	1	1	NUM
ejpam-5619	385	9	-	-	SYM
ejpam-5619	385	10	6	6	NUM
ejpam-5619	385	11	,	,	PUNCT
ejpam-5619	385	12	2024	2024	NUM
ejpam-5619	385	13	.	.	PUNCT
ejpam-5619	386	1	[	[	X
ejpam-5619	386	2	13	13	NUM
ejpam-5619	386	3	]	]	X
ejpam-5619	386	4	ma	ma	PROPN
ejpam-5619	386	5	amleh	amleh	PROPN
ejpam-5619	386	6	b	b	PROPN
ejpam-5619	386	7	abughazaleh	abughazaleh	NOUN
ejpam-5619	386	8	and	and	CCONJ
ejpam-5619	386	9	a	a	DET
ejpam-5619	386	10	al	al	NOUN
ejpam-5619	386	11	-	-	PUNCT
ejpam-5619	386	12	natoor	natoor	NOUN
ejpam-5619	386	13	.	.	PUNCT
ejpam-5619	387	1	conformable	conformable	ADJ
ejpam-5619	387	2	fractional	fractional	ADJ
ejpam-5619	387	3	lomax	lomax	PROPN
ejpam-5619	387	4	probability	probability	NOUN
ejpam-5619	387	5	distribution	distribution	NOUN
ejpam-5619	387	6	.	.	PUNCT
ejpam-5619	388	1	j.	j.	PROPN
ejpam-5619	388	2	math	math	PROPN
ejpam-5619	388	3	.	.	PUNCT
ejpam-5619	389	1	comput	comput	NOUN
ejpam-5619	389	2	.	.	PUNCT
ejpam-5619	390	1	sci	sci	PROPN
ejpam-5619	390	2	.	.	PROPN
ejpam-5619	390	3	,	,	PUNCT
ejpam-5619	390	4	12	12	NUM
ejpam-5619	390	5	,	,	PUNCT
ejpam-5619	390	6	article	article	NOUN
ejpam-5619	390	7	-	-	PUNCT
ejpam-5619	390	8	id	id	NUM
ejpam-5619	390	9	130	130	NUM
ejpam-5619	390	10	,	,	PUNCT
ejpam-5619	390	11	2022	2022	NUM
ejpam-5619	390	12	.	.	PUNCT
ejpam-5619	391	1	[	[	X
ejpam-5619	391	2	14	14	NUM
ejpam-5619	391	3	]	]	X
ejpam-5619	391	4	a	a	DET
ejpam-5619	391	5	qazza	qazza	NOUN
ejpam-5619	391	6	a	a	DET
ejpam-5619	391	7	burqan	burqan	NOUN
ejpam-5619	391	8	r	r	NOUN
ejpam-5619	391	9	saadeh	saadeh	NOUN
ejpam-5619	391	10	and	and	CCONJ
ejpam-5619	391	11	r	r	PROPN
ejpam-5619	391	12	khalil	khalil	PROPN
ejpam-5619	391	13	.	.	PUNCT
ejpam-5619	392	1	applications	application	NOUN
ejpam-5619	392	2	on	on	ADP
ejpam-5619	392	3	double	double	ADJ
ejpam-5619	392	4	ara	ara	NOUN
ejpam-5619	392	5	–	–	PUNCT
ejpam-5619	392	6	sumudu	sumudu	NOUN
ejpam-5619	392	7	transform	transform	NOUN
ejpam-5619	392	8	in	in	ADP
ejpam-5619	392	9	solving	solve	VERB
ejpam-5619	392	10	fractional	fractional	ADJ
ejpam-5619	392	11	partial	partial	ADJ
ejpam-5619	392	12	differential	differential	NOUN
ejpam-5619	392	13	equations	equation	NOUN
ejpam-5619	392	14	.	.	PUNCT
ejpam-5619	393	1	symmetry	symmetry	NOUN
ejpam-5619	393	2	,	,	PUNCT
ejpam-5619	393	3	14(9	14(9	NUM
ejpam-5619	393	4	):	):	PUNCT
ejpam-5619	393	5	1817	1817	NUM
ejpam-5619	393	6	,	,	PUNCT
ejpam-5619	393	7	2022	2022	NUM
ejpam-5619	393	8	.	.	PUNCT