id	sid	tid	token	lemma	pos
ejpam-6890	1	1	european	european	PROPN
ejpam-6890	1	2	journal	journal	PROPN
ejpam-6890	1	3	of	of	ADP
ejpam-6890	1	4	pure	pure	ADJ
ejpam-6890	1	5	and	and	CCONJ
ejpam-6890	1	6	applied	applied	ADJ
ejpam-6890	1	7	mathematics	mathematic	NOUN
ejpam-6890	1	8	2025	2025	NUM
ejpam-6890	1	9	,	,	PUNCT
ejpam-6890	1	10	vol	vol	NOUN
ejpam-6890	1	11	.	.	PROPN
ejpam-6890	1	12	18	18	NUM
ejpam-6890	1	13	,	,	PUNCT
ejpam-6890	1	14	issue	issue	NOUN
ejpam-6890	1	15	4	4	NUM
ejpam-6890	1	16	,	,	PUNCT
ejpam-6890	1	17	article	article	NOUN
ejpam-6890	1	18	number	number	NOUN
ejpam-6890	1	19	6890	6890	NUM
ejpam-6890	1	20	issn	issn	VERB
ejpam-6890	1	21	1307	1307	NUM
ejpam-6890	1	22	-	-	SYM
ejpam-6890	1	23	5543	5543	NUM
ejpam-6890	1	24	–	–	PUNCT
ejpam-6890	1	25	ejpam.com	ejpam.com	X
ejpam-6890	1	26	published	publish	VERB
ejpam-6890	1	27	by	by	ADP
ejpam-6890	1	28	new	new	PROPN
ejpam-6890	1	29	york	york	PROPN
ejpam-6890	1	30	business	business	PROPN
ejpam-6890	1	31	global	global	PROPN
ejpam-6890	1	32	the	the	DET
ejpam-6890	1	33	double	double	ADJ
ejpam-6890	1	34	sawi	sawi	ADJ
ejpam-6890	1	35	-	-	PUNCT
ejpam-6890	1	36	shehu	shehu	NOUN
ejpam-6890	1	37	transform	transform	VERB
ejpam-6890	1	38	monther	monther	PROPN
ejpam-6890	2	1	al	al	PROPN
ejpam-6890	2	2	-	-	PUNCT
ejpam-6890	2	3	momani1,∗	momani1,∗	NOUN
ejpam-6890	2	4	,	,	PUNCT
ejpam-6890	2	5	baha	baha	NOUN
ejpam-6890	2	6	’	'	PUNCT
ejpam-6890	2	7	abughazaleh2	abughazaleh2	NOUN
ejpam-6890	2	8	,	,	PUNCT
ejpam-6890	2	9	abdulkarim	abdulkarim	VERB
ejpam-6890	2	10	farah2	farah2	PROPN
ejpam-6890	2	11	1	1	NUM
ejpam-6890	2	12	department	department	NOUN
ejpam-6890	2	13	of	of	ADP
ejpam-6890	2	14	basic	basic	ADJ
ejpam-6890	2	15	sciences	sciences	PROPN
ejpam-6890	2	16	,	,	PUNCT
ejpam-6890	2	17	al	al	PROPN
ejpam-6890	2	18	-	-	PUNCT
ejpam-6890	2	19	ahliyya	ahliyya	PROPN
ejpam-6890	2	20	amman	amman	PROPN
ejpam-6890	2	21	university	university	PROPN
ejpam-6890	2	22	,	,	PUNCT
ejpam-6890	2	23	amman	amman	PROPN
ejpam-6890	2	24	,	,	PUNCT
ejpam-6890	2	25	jordan	jordan	PROPN
ejpam-6890	2	26	2	2	NUM
ejpam-6890	2	27	department	department	NOUN
ejpam-6890	2	28	of	of	ADP
ejpam-6890	2	29	mathematics	mathematics	PROPN
ejpam-6890	2	30	,	,	PUNCT
ejpam-6890	2	31	isra	isra	PROPN
ejpam-6890	2	32	university	university	PROPN
ejpam-6890	2	33	,	,	PUNCT
ejpam-6890	2	34	amman	amman	PROPN
ejpam-6890	2	35	,	,	PUNCT
ejpam-6890	2	36	jordan	jordan	PROPN
ejpam-6890	2	37	abstract	abstract	PROPN
ejpam-6890	2	38	.	.	PUNCT
ejpam-6890	3	1	this	this	DET
ejpam-6890	3	2	research	research	NOUN
ejpam-6890	3	3	combines	combine	VERB
ejpam-6890	3	4	the	the	DET
ejpam-6890	3	5	sawi	sawi	ADJ
ejpam-6890	3	6	and	and	CCONJ
ejpam-6890	3	7	shehu	shehu	NOUN
ejpam-6890	3	8	transforms	transform	VERB
ejpam-6890	3	9	into	into	ADP
ejpam-6890	3	10	a	a	DET
ejpam-6890	3	11	unified	unified	ADJ
ejpam-6890	3	12	framework	framework	NOUN
ejpam-6890	3	13	called	call	VERB
ejpam-6890	3	14	the	the	DET
ejpam-6890	3	15	double	double	ADJ
ejpam-6890	3	16	sawi	sawi	ADJ
ejpam-6890	3	17	-	-	PUNCT
ejpam-6890	3	18	shehu	shehu	NOUN
ejpam-6890	3	19	transform	transform	NOUN
ejpam-6890	3	20	.	.	PUNCT
ejpam-6890	4	1	we	we	PRON
ejpam-6890	4	2	study	study	VERB
ejpam-6890	4	3	its	its	PRON
ejpam-6890	4	4	core	core	NOUN
ejpam-6890	4	5	features	feature	NOUN
ejpam-6890	4	6	such	such	ADJ
ejpam-6890	4	7	as	as	ADP
ejpam-6890	4	8	when	when	SCONJ
ejpam-6890	4	9	it	it	PRON
ejpam-6890	4	10	exists	exist	VERB
ejpam-6890	4	11	and	and	CCONJ
ejpam-6890	4	12	how	how	SCONJ
ejpam-6890	4	13	to	to	PART
ejpam-6890	4	14	recover	recover	VERB
ejpam-6890	4	15	the	the	DET
ejpam-6890	4	16	original	original	ADJ
ejpam-6890	4	17	function	function	NOUN
ejpam-6890	4	18	.	.	PUNCT
ejpam-6890	5	1	we	we	PRON
ejpam-6890	5	2	also	also	ADV
ejpam-6890	5	3	develop	develop	VERB
ejpam-6890	5	4	improved	improved	ADJ
ejpam-6890	5	5	methods	method	NOUN
ejpam-6890	5	6	for	for	ADP
ejpam-6890	5	7	solving	solve	VERB
ejpam-6890	5	8	partial	partial	ADJ
ejpam-6890	5	9	differential	differential	ADJ
ejpam-6890	5	10	equations	equation	NOUN
ejpam-6890	5	11	in	in	ADP
ejpam-6890	5	12	multiple	multiple	ADJ
ejpam-6890	5	13	dimensions	dimension	NOUN
ejpam-6890	5	14	and	and	CCONJ
ejpam-6890	5	15	extend	extend	VERB
ejpam-6890	5	16	the	the	DET
ejpam-6890	5	17	double	double	ADJ
ejpam-6890	5	18	convolution	convolution	NOUN
ejpam-6890	5	19	theorem	theorem	VERB
ejpam-6890	5	20	to	to	ADP
ejpam-6890	5	21	two	two	NUM
ejpam-6890	5	22	-	-	PUNCT
ejpam-6890	5	23	dimensional	dimensional	ADJ
ejpam-6890	5	24	problems	problem	NOUN
ejpam-6890	5	25	.	.	PUNCT
ejpam-6890	6	1	practical	practical	ADJ
ejpam-6890	6	2	examples	example	NOUN
ejpam-6890	6	3	show	show	VERB
ejpam-6890	6	4	how	how	SCONJ
ejpam-6890	6	5	this	this	DET
ejpam-6890	6	6	approach	approach	NOUN
ejpam-6890	6	7	simplifies	simplify	VERB
ejpam-6890	6	8	complex	complex	ADJ
ejpam-6890	6	9	calculations	calculation	NOUN
ejpam-6890	6	10	in	in	ADP
ejpam-6890	6	11	physics	physics	NOUN
ejpam-6890	6	12	and	and	CCONJ
ejpam-6890	6	13	other	other	ADJ
ejpam-6890	6	14	sciences	science	NOUN
ejpam-6890	6	15	proving	prove	VERB
ejpam-6890	6	16	its	its	PRON
ejpam-6890	6	17	effectiveness	effectiveness	NOUN
ejpam-6890	6	18	.	.	PUNCT
ejpam-6890	7	1	2020	2020	NUM
ejpam-6890	7	2	mathematics	mathematic	NOUN
ejpam-6890	7	3	subject	subject	NOUN
ejpam-6890	7	4	classifications	classification	NOUN
ejpam-6890	7	5	:	:	PUNCT
ejpam-6890	7	6	44a05	44a05	NUM
ejpam-6890	7	7	key	key	ADJ
ejpam-6890	7	8	words	word	NOUN
ejpam-6890	7	9	and	and	CCONJ
ejpam-6890	7	10	phrases	phrase	NOUN
ejpam-6890	7	11	:	:	PUNCT
ejpam-6890	7	12	sawi	sawi	ADJ
ejpam-6890	7	13	transform	transform	NOUN
ejpam-6890	7	14	,	,	PUNCT
ejpam-6890	7	15	shehu	shehu	NOUN
ejpam-6890	7	16	transform	transform	NOUN
ejpam-6890	7	17	,	,	PUNCT
ejpam-6890	7	18	double	double	ADJ
ejpam-6890	7	19	integral	integral	ADJ
ejpam-6890	7	20	transform	transform	NOUN
ejpam-6890	7	21	,	,	PUNCT
ejpam-6890	7	22	double	double	ADJ
ejpam-6890	7	23	sawi	sawi	NOUN
ejpam-6890	7	24	-	-	PUNCT
ejpam-6890	7	25	shehu	shehu	NOUN
ejpam-6890	7	26	transform	transform	VERB
ejpam-6890	7	27	1	1	NUM
ejpam-6890	7	28	.	.	PUNCT
ejpam-6890	8	1	introduction	introduction	NOUN
ejpam-6890	8	2	integral	integral	ADJ
ejpam-6890	8	3	transforms	transform	VERB
ejpam-6890	8	4	simplify	simplify	ADJ
ejpam-6890	8	5	mathematical	mathematical	ADJ
ejpam-6890	8	6	problems	problem	NOUN
ejpam-6890	8	7	by	by	ADP
ejpam-6890	8	8	converting	convert	VERB
ejpam-6890	8	9	functions	function	NOUN
ejpam-6890	8	10	into	into	ADP
ejpam-6890	8	11	easier	easy	ADJ
ejpam-6890	8	12	forms	form	NOUN
ejpam-6890	8	13	.	.	PUNCT
ejpam-6890	9	1	engineers	engineer	NOUN
ejpam-6890	9	2	and	and	CCONJ
ejpam-6890	9	3	physicists	physicist	NOUN
ejpam-6890	9	4	widely	widely	ADV
ejpam-6890	9	5	use	use	VERB
ejpam-6890	9	6	these	these	DET
ejpam-6890	9	7	tools	tool	NOUN
ejpam-6890	9	8	to	to	PART
ejpam-6890	9	9	study	study	VERB
ejpam-6890	9	10	complex	complex	ADJ
ejpam-6890	9	11	phenomena	phenomenon	NOUN
ejpam-6890	9	12	leading	lead	VERB
ejpam-6890	9	13	researchers	researcher	NOUN
ejpam-6890	9	14	to	to	PART
ejpam-6890	9	15	create	create	VERB
ejpam-6890	9	16	new	new	ADJ
ejpam-6890	9	17	transforms	transform	NOUN
ejpam-6890	9	18	like	like	ADP
ejpam-6890	9	19	the	the	DET
ejpam-6890	9	20	sawi	sawi	ADJ
ejpam-6890	10	1	[	[	X
ejpam-6890	10	2	1	1	NUM
ejpam-6890	10	3	]	]	PUNCT
ejpam-6890	10	4	and	and	CCONJ
ejpam-6890	10	5	shehu	shehu	X
ejpam-6890	10	6	[	[	X
ejpam-6890	10	7	2	2	X
ejpam-6890	10	8	]	]	PUNCT
ejpam-6890	10	9	transforms	transform	VERB
ejpam-6890	10	10	in	in	ADP
ejpam-6890	10	11	recent	recent	ADJ
ejpam-6890	10	12	years	year	NOUN
ejpam-6890	10	13	.	.	PUNCT
ejpam-6890	11	1	for	for	ADP
ejpam-6890	11	2	equations	equation	NOUN
ejpam-6890	11	3	with	with	ADP
ejpam-6890	11	4	multiple	multiple	ADJ
ejpam-6890	11	5	variables	variable	NOUN
ejpam-6890	11	6	specialized	specialized	ADJ
ejpam-6890	11	7	double	double	ADJ
ejpam-6890	11	8	transforms	transform	NOUN
ejpam-6890	11	9	are	be	AUX
ejpam-6890	11	10	needed	need	VERB
ejpam-6890	11	11	.	.	PUNCT
ejpam-6890	12	1	examples	example	NOUN
ejpam-6890	12	2	include	include	VERB
ejpam-6890	12	3	the	the	DET
ejpam-6890	12	4	double	double	ADJ
ejpam-6890	12	5	laplace	laplace	NOUN
ejpam-6890	12	6	transform	transform	NOUN
ejpam-6890	12	7	[	[	X
ejpam-6890	12	8	3	3	NUM
ejpam-6890	12	9	]	]	X
ejpam-6890	12	10	double	double	ADJ
ejpam-6890	12	11	shehu	shehu	NOUN
ejpam-6890	12	12	transform	transform	VERB
ejpam-6890	12	13	[	[	X
ejpam-6890	12	14	?	?	PUNCT
ejpam-6890	12	15	]	]	PUNCT
ejpam-6890	12	16	and	and	CCONJ
ejpam-6890	12	17	others	other	NOUN
ejpam-6890	12	18	,	,	PUNCT
ejpam-6890	12	19	see	see	VERB
ejpam-6890	12	20	[	[	X
ejpam-6890	12	21	4–10	4–10	NOUN
ejpam-6890	12	22	]	]	X
ejpam-6890	12	23	.	.	PUNCT
ejpam-6890	13	1	in	in	ADP
ejpam-6890	13	2	this	this	DET
ejpam-6890	13	3	work	work	NOUN
ejpam-6890	13	4	,	,	PUNCT
ejpam-6890	13	5	we	we	PRON
ejpam-6890	13	6	introduce	introduce	VERB
ejpam-6890	13	7	a	a	DET
ejpam-6890	13	8	new	new	ADJ
ejpam-6890	13	9	transform	transform	NOUN
ejpam-6890	13	10	that	that	PRON
ejpam-6890	13	11	merges	merge	VERB
ejpam-6890	13	12	the	the	DET
ejpam-6890	13	13	strengths	strength	NOUN
ejpam-6890	13	14	of	of	ADP
ejpam-6890	13	15	the	the	DET
ejpam-6890	13	16	sawi	sawi	ADJ
ejpam-6890	13	17	and	and	CCONJ
ejpam-6890	13	18	shehu	shehu	NOUN
ejpam-6890	13	19	transforms	transform	VERB
ejpam-6890	13	20	.	.	PUNCT
ejpam-6890	14	1	this	this	DET
ejpam-6890	14	2	combination	combination	NOUN
ejpam-6890	14	3	solves	solve	VERB
ejpam-6890	14	4	a	a	DET
ejpam-6890	14	5	wider	wide	ADJ
ejpam-6890	14	6	range	range	NOUN
ejpam-6890	14	7	of	of	ADP
ejpam-6890	14	8	partial	partial	ADJ
ejpam-6890	14	9	and	and	CCONJ
ejpam-6890	14	10	integral	integral	ADJ
ejpam-6890	14	11	differential	differential	ADJ
ejpam-6890	14	12	equations	equation	NOUN
ejpam-6890	14	13	.	.	PUNCT
ejpam-6890	15	1	its	its	PRON
ejpam-6890	15	2	simplicity	simplicity	NOUN
ejpam-6890	15	3	makes	make	VERB
ejpam-6890	15	4	it	it	PRON
ejpam-6890	15	5	particularly	particularly	ADV
ejpam-6890	15	6	useful	useful	ADJ
ejpam-6890	15	7	in	in	ADP
ejpam-6890	15	8	physics	physics	NOUN
ejpam-6890	15	9	saving	saving	NOUN
ejpam-6890	15	10	time	time	NOUN
ejpam-6890	15	11	and	and	CCONJ
ejpam-6890	15	12	effort	effort	NOUN
ejpam-6890	15	13	compared	compare	VERB
ejpam-6890	15	14	to	to	ADP
ejpam-6890	15	15	traditional	traditional	ADJ
ejpam-6890	15	16	methods	method	NOUN
ejpam-6890	15	17	.	.	PUNCT
ejpam-6890	16	1	2	2	X
ejpam-6890	16	2	.	.	X
ejpam-6890	16	3	sawi	sawi	PROPN
ejpam-6890	16	4	and	and	CCONJ
ejpam-6890	16	5	shehu	shehu	NOUN
ejpam-6890	16	6	transforms	transform	VERB
ejpam-6890	16	7	this	this	DET
ejpam-6890	16	8	section	section	NOUN
ejpam-6890	16	9	gives	give	VERB
ejpam-6890	16	10	a	a	DET
ejpam-6890	16	11	brief	brief	ADJ
ejpam-6890	16	12	description	description	NOUN
ejpam-6890	16	13	and	and	CCONJ
ejpam-6890	16	14	some	some	DET
ejpam-6890	16	15	basic	basic	ADJ
ejpam-6890	16	16	properties	property	NOUN
ejpam-6890	16	17	of	of	ADP
ejpam-6890	16	18	the	the	DET
ejpam-6890	16	19	single	single	ADJ
ejpam-6890	16	20	transforms	transform	NOUN
ejpam-6890	16	21	:	:	PUNCT
ejpam-6890	16	22	sawi	sawi	ADJ
ejpam-6890	16	23	,	,	PUNCT
ejpam-6890	16	24	and	and	CCONJ
ejpam-6890	16	25	shehu	shehu	NOUN
ejpam-6890	16	26	transforms	transform	VERB
ejpam-6890	16	27	.	.	PUNCT
ejpam-6890	17	1	∗corresponding	∗corresponde	VERB
ejpam-6890	17	2	author	author	NOUN
ejpam-6890	17	3	.	.	PUNCT
ejpam-6890	18	1	doi	doi	NOUN
ejpam-6890	18	2	:	:	PUNCT
ejpam-6890	18	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6890	https://doi.org/10.29020/nybg.ejpam.v18i4.6890	NOUN
ejpam-6890	18	4	email	email	NOUN
ejpam-6890	18	5	addresses	address	NOUN
ejpam-6890	18	6	:	:	PUNCT
ejpam-6890	18	7	montheralmomani72@gmail.com	montheralmomani72@gmail.com	X
ejpam-6890	18	8	(	(	PUNCT
ejpam-6890	18	9	m.	m.	PROPN
ejpam-6890	18	10	al	al	PROPN
ejpam-6890	18	11	-	-	PUNCT
ejpam-6890	18	12	momani	momani	NOUN
ejpam-6890	18	13	)	)	PUNCT
ejpam-6890	18	14	,	,	PUNCT
ejpam-6890	18	15	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-6890	18	16	(	(	PUNCT
ejpam-6890	18	17	b.	b.	PROPN
ejpam-6890	18	18	abughazaleh	abughazaleh	PROPN
ejpam-6890	18	19	)	)	PUNCT
ejpam-6890	18	20	,	,	PUNCT
ejpam-6890	18	21	karim.farah@iu.edu.jo	karim.farah@iu.edu.jo	PROPN
ejpam-6890	18	22	(	(	PUNCT
ejpam-6890	18	23	a.	a.	PROPN
ejpam-6890	18	24	farah	farah	PROPN
ejpam-6890	18	25	)	)	PUNCT
ejpam-6890	18	26	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6890	19	1	1	1	NUM
ejpam-6890	19	2	copyright	copyright	NOUN
ejpam-6890	19	3	:	:	PUNCT
ejpam-6890	19	4	©	©	PROPN
ejpam-6890	19	5	2025	2025	NUM
ejpam-6890	19	6	the	the	DET
ejpam-6890	19	7	author(s	author(s	NOUN
ejpam-6890	19	8	)	)	PUNCT
ejpam-6890	19	9	.	.	PUNCT
ejpam-6890	20	1	(	(	PUNCT
ejpam-6890	20	2	cc	cc	NOUN
ejpam-6890	20	3	by	by	ADP
ejpam-6890	20	4	-	-	PUNCT
ejpam-6890	20	5	nc	nc	PROPN
ejpam-6890	20	6	4.0	4.0	NUM
ejpam-6890	20	7	)	)	PUNCT
ejpam-6890	20	8	m.	m.	NOUN
ejpam-6890	20	9	al	al	PROPN
ejpam-6890	20	10	-	-	PUNCT
ejpam-6890	20	11	momani	momani	X
ejpam-6890	20	12	et	et	PROPN
ejpam-6890	20	13	al	al	PROPN
ejpam-6890	20	14	.	.	PUNCT
ejpam-6890	20	15	/	/	SYM
ejpam-6890	20	16	eur	eur	PROPN
ejpam-6890	20	17	.	.	PUNCT
ejpam-6890	21	1	j.	j.	PROPN
ejpam-6890	21	2	pure	pure	PROPN
ejpam-6890	21	3	appl	appl	PROPN
ejpam-6890	21	4	.	.	PROPN
ejpam-6890	21	5	math	math	PROPN
ejpam-6890	21	6	,	,	PUNCT
ejpam-6890	21	7	18	18	NUM
ejpam-6890	21	8	(	(	PUNCT
ejpam-6890	21	9	4	4	NUM
ejpam-6890	21	10	)	)	PUNCT
ejpam-6890	21	11	(	(	PUNCT
ejpam-6890	21	12	2025	2025	NUM
ejpam-6890	21	13	)	)	PUNCT
ejpam-6890	21	14	,	,	PUNCT
ejpam-6890	21	15	6890	6890	NUM
ejpam-6890	21	16	2	2	NUM
ejpam-6890	21	17	of	of	ADP
ejpam-6890	21	18	15	15	NUM
ejpam-6890	21	19	2.1	2.1	NUM
ejpam-6890	21	20	.	.	PUNCT
ejpam-6890	22	1	sawi	sawi	PROPN
ejpam-6890	22	2	transform	transform	VERB
ejpam-6890	22	3	definition	definition	NOUN
ejpam-6890	22	4	1	1	NUM
ejpam-6890	22	5	.	.	PUNCT
ejpam-6890	23	1	the	the	DET
ejpam-6890	23	2	sawi	sawi	ADJ
ejpam-6890	23	3	transform	transform	NOUN
ejpam-6890	23	4	of	of	ADP
ejpam-6890	23	5	a	a	DET
ejpam-6890	23	6	continuous	continuous	ADJ
ejpam-6890	23	7	function	function	NOUN
ejpam-6890	23	8	b(ε	b(ε	NOUN
ejpam-6890	23	9	)	)	PUNCT
ejpam-6890	23	10	on	on	ADP
ejpam-6890	23	11	[	[	X
ejpam-6890	23	12	0,∞	0,∞	NOUN
ejpam-6890	23	13	)	)	PUNCT
ejpam-6890	23	14	is	be	AUX
ejpam-6890	23	15	defined	define	VERB
ejpam-6890	23	16	as	as	SCONJ
ejpam-6890	23	17	follows	follow	VERB
ejpam-6890	23	18	b(σ	b(σ	PROPN
ejpam-6890	23	19	)	)	PUNCT
ejpam-6890	24	1	=	=	SYM
ejpam-6890	24	2	w	w	PROPN
ejpam-6890	24	3	(	(	PUNCT
ejpam-6890	24	4	b(ε	b(ε	PROPN
ejpam-6890	24	5	)	)	PUNCT
ejpam-6890	24	6	)	)	PUNCT
ejpam-6890	25	1	=	=	SYM
ejpam-6890	25	2	1	1	NUM
ejpam-6890	25	3	σ2	σ2	PROPN
ejpam-6890	25	4	∞∫	∞∫	PROPN
ejpam-6890	25	5	0	0	NUM
ejpam-6890	26	1	e−σεb(ε)dε	e−σεb(ε)dε	PROPN
ejpam-6890	26	2	,	,	PUNCT
ejpam-6890	26	3	σ	σ	PROPN
ejpam-6890	26	4	>	>	X
ejpam-6890	26	5	0	0	NUM
ejpam-6890	26	6	.	.	PUNCT
ejpam-6890	27	1	some	some	DET
ejpam-6890	27	2	basic	basic	ADJ
ejpam-6890	27	3	properties	property	NOUN
ejpam-6890	27	4	of	of	ADP
ejpam-6890	27	5	the	the	DET
ejpam-6890	27	6	sawi	sawi	ADJ
ejpam-6890	27	7	transform	transform	NOUN
ejpam-6890	27	8	are	be	AUX
ejpam-6890	27	9	now	now	ADV
ejpam-6890	27	10	given	give	VERB
ejpam-6890	27	11	.	.	PUNCT
ejpam-6890	28	1	let	let	VERB
ejpam-6890	28	2	b(σ	b(σ	PROPN
ejpam-6890	28	3	)	)	PUNCT
ejpam-6890	29	1	=	=	SYM
ejpam-6890	29	2	w	w	PROPN
ejpam-6890	29	3	(	(	PUNCT
ejpam-6890	29	4	b(ε	b(ε	PROPN
ejpam-6890	29	5	)	)	PUNCT
ejpam-6890	29	6	)	)	PUNCT
ejpam-6890	29	7	,	,	PUNCT
ejpam-6890	29	8	then	then	ADV
ejpam-6890	29	9	for	for	ADP
ejpam-6890	29	10	nonzero	nonzero	PROPN
ejpam-6890	29	11	constants	constant	NOUN
ejpam-6890	29	12	β	β	X
ejpam-6890	29	13	and	and	CCONJ
ejpam-6890	29	14	γ	γ	X
ejpam-6890	29	15	,	,	PUNCT
ejpam-6890	29	16	we	we	PRON
ejpam-6890	29	17	have	have	VERB
ejpam-6890	29	18	w	w	PROPN
ejpam-6890	29	19	(	(	PUNCT
ejpam-6890	29	20	βb1(ε	βb1(ε	ADJ
ejpam-6890	29	21	)	)	PUNCT
ejpam-6890	29	22	+	+	CCONJ
ejpam-6890	29	23	γb2(ε	γb2(ε	NOUN
ejpam-6890	29	24	)	)	PUNCT
ejpam-6890	29	25	)	)	PUNCT
ejpam-6890	30	1	=	=	PUNCT
ejpam-6890	30	2	βw	βw	ADP
ejpam-6890	30	3	(	(	PUNCT
ejpam-6890	30	4	b1(ε	b1(ε	NOUN
ejpam-6890	30	5	)	)	PUNCT
ejpam-6890	30	6	)	)	PUNCT
ejpam-6890	31	1	+	+	CCONJ
ejpam-6890	31	2	γw	γw	PRON
ejpam-6890	31	3	(	(	PUNCT
ejpam-6890	31	4	b2(ε	b2(ε	NOUN
ejpam-6890	31	5	)	)	PUNCT
ejpam-6890	31	6	)	)	PUNCT
ejpam-6890	31	7	,	,	PUNCT
ejpam-6890	31	8	(	(	PUNCT
ejpam-6890	31	9	1	1	X
ejpam-6890	31	10	)	)	PUNCT
ejpam-6890	31	11	where	where	SCONJ
ejpam-6890	31	12	b1(ε	b1(ε	NOUN
ejpam-6890	31	13	)	)	PUNCT
ejpam-6890	31	14	and	and	CCONJ
ejpam-6890	31	15	b2(ε	b2(ε	NOUN
ejpam-6890	31	16	)	)	PUNCT
ejpam-6890	31	17	are	be	AUX
ejpam-6890	31	18	continuous	continuous	ADJ
ejpam-6890	31	19	functions	function	NOUN
ejpam-6890	31	20	on	on	ADP
ejpam-6890	31	21	[	[	X
ejpam-6890	31	22	0,∞	0,∞	NOUN
ejpam-6890	31	23	)	)	PUNCT
ejpam-6890	31	24	.	.	PUNCT
ejpam-6890	32	1	w	w	PROPN
ejpam-6890	32	2	(	(	PUNCT
ejpam-6890	32	3	εβ	εβ	PROPN
ejpam-6890	32	4	)	)	PUNCT
ejpam-6890	32	5	=	=	PUNCT
ejpam-6890	33	1	γ(β	γ(β	PROPN
ejpam-6890	33	2	+	+	NUM
ejpam-6890	33	3	1)σβ−1	1)σβ−1	NUM
ejpam-6890	33	4	,	,	PUNCT
ejpam-6890	33	5	(	(	PUNCT
ejpam-6890	33	6	2	2	NUM
ejpam-6890	33	7	)	)	PUNCT
ejpam-6890	33	8	w	w	NOUN
ejpam-6890	33	9	(	(	PUNCT
ejpam-6890	33	10	eβε	eβε	NOUN
ejpam-6890	33	11	)	)	PUNCT
ejpam-6890	33	12	=	=	SYM
ejpam-6890	33	13	1	1	NUM
ejpam-6890	33	14	σ	σ	NOUN
ejpam-6890	33	15	(	(	PUNCT
ejpam-6890	33	16	1−	1−	NUM
ejpam-6890	33	17	σβ	σβ	NOUN
ejpam-6890	33	18	)	)	PUNCT
ejpam-6890	33	19	,	,	PUNCT
ejpam-6890	33	20	β	β	X
ejpam-6890	33	21	∈	∈	PROPN
ejpam-6890	33	22	r	r	NOUN
ejpam-6890	33	23	,	,	PUNCT
ejpam-6890	33	24	(	(	PUNCT
ejpam-6890	33	25	3	3	X
ejpam-6890	33	26	)	)	PUNCT
ejpam-6890	33	27	w	w	NOUN
ejpam-6890	33	28	(	(	PUNCT
ejpam-6890	33	29	b′(ε	b′(ε	PROPN
ejpam-6890	33	30	)	)	PUNCT
ejpam-6890	33	31	)	)	PUNCT
ejpam-6890	34	1	=	=	SYM
ejpam-6890	34	2	b(σ	b(σ	PROPN
ejpam-6890	34	3	)	)	PUNCT
ejpam-6890	34	4	σ	σ	PROPN
ejpam-6890	34	5	−	−	PROPN
ejpam-6890	34	6	b(0	b(0	PROPN
ejpam-6890	34	7	)	)	PUNCT
ejpam-6890	34	8	σ2	σ2	NOUN
ejpam-6890	34	9	,	,	PUNCT
ejpam-6890	34	10	(	(	PUNCT
ejpam-6890	34	11	4	4	NUM
ejpam-6890	34	12	)	)	PUNCT
ejpam-6890	34	13	w	w	NOUN
ejpam-6890	34	14	(	(	PUNCT
ejpam-6890	34	15	b′′(ε	b′′(ε	ADJ
ejpam-6890	34	16	)	)	PUNCT
ejpam-6890	34	17	)	)	PUNCT
ejpam-6890	35	1	=	=	SYM
ejpam-6890	35	2	b(σ	b(σ	PROPN
ejpam-6890	35	3	)	)	PUNCT
ejpam-6890	35	4	σ2	σ2	NOUN
ejpam-6890	35	5	−	−	PROPN
ejpam-6890	35	6	b(0	b(0	PROPN
ejpam-6890	35	7	)	)	PUNCT
ejpam-6890	35	8	σ3	σ3	NOUN
ejpam-6890	35	9	−	−	PROPN
ejpam-6890	35	10	b′(0	b′(0	PROPN
ejpam-6890	35	11	)	)	PUNCT
ejpam-6890	35	12	σ2	σ2	PROPN
ejpam-6890	35	13	.	.	PUNCT
ejpam-6890	36	1	(	(	PUNCT
ejpam-6890	36	2	5	5	NUM
ejpam-6890	36	3	)	)	PUNCT
ejpam-6890	36	4	2.2	2.2	NUM
ejpam-6890	36	5	.	.	PUNCT
ejpam-6890	37	1	the	the	DET
ejpam-6890	37	2	shehu	shehu	NOUN
ejpam-6890	37	3	transform	transform	VERB
ejpam-6890	37	4	definition	definition	NOUN
ejpam-6890	37	5	2	2	NUM
ejpam-6890	37	6	.	.	PUNCT
ejpam-6890	38	1	the	the	DET
ejpam-6890	38	2	shehu	shehu	PROPN
ejpam-6890	38	3	transform	transform	VERB
ejpam-6890	38	4	of	of	ADP
ejpam-6890	38	5	a	a	DET
ejpam-6890	38	6	continuous	continuous	ADJ
ejpam-6890	38	7	function	function	NOUN
ejpam-6890	38	8	p(ζ	p(ζ	PROPN
ejpam-6890	38	9	)	)	PUNCT
ejpam-6890	38	10	on	on	ADP
ejpam-6890	38	11	[	[	X
ejpam-6890	38	12	0,∞	0,∞	NOUN
ejpam-6890	38	13	)	)	PUNCT
ejpam-6890	38	14	is	be	AUX
ejpam-6890	38	15	defined	define	VERB
ejpam-6890	38	16	as	as	SCONJ
ejpam-6890	38	17	follows	follow	VERB
ejpam-6890	38	18	p	p	PROPN
ejpam-6890	38	19	(	(	PUNCT
ejpam-6890	38	20	ϕ	ϕ	PROPN
ejpam-6890	38	21	,	,	PUNCT
ejpam-6890	38	22	δ	δ	PROPN
ejpam-6890	38	23	)	)	PUNCT
ejpam-6890	38	24	=	=	SYM
ejpam-6890	38	25	h(p(ζ	h(p(ζ	ADJ
ejpam-6890	38	26	)	)	PUNCT
ejpam-6890	38	27	)	)	PUNCT
ejpam-6890	39	1	=	=	SYM
ejpam-6890	39	2	∞∫	∞∫	PROPN
ejpam-6890	39	3	0	0	NUM
ejpam-6890	40	1	e−	e−	PROPN
ejpam-6890	40	2	ϕζ	ϕζ	NOUN
ejpam-6890	40	3	δ	δ	PROPN
ejpam-6890	40	4	p(ζ)dζ	p(ζ)dζ	PROPN
ejpam-6890	40	5	.	.	PUNCT
ejpam-6890	41	1	we	we	PRON
ejpam-6890	41	2	now	now	ADV
ejpam-6890	41	3	outline	outline	VERB
ejpam-6890	41	4	the	the	DET
ejpam-6890	41	5	fundamental	fundamental	ADJ
ejpam-6890	41	6	properties	property	NOUN
ejpam-6890	41	7	of	of	ADP
ejpam-6890	41	8	the	the	DET
ejpam-6890	41	9	shehu	shehu	NOUN
ejpam-6890	41	10	transform	transform	NOUN
ejpam-6890	41	11	.	.	PUNCT
ejpam-6890	41	12	suppose	suppose	VERB
ejpam-6890	42	1	that	that	SCONJ
ejpam-6890	42	2	p1(ϕ	p1(ϕ	PROPN
ejpam-6890	42	3	,	,	PUNCT
ejpam-6890	42	4	δ	δ	PROPN
ejpam-6890	42	5	)	)	PUNCT
ejpam-6890	42	6	=	=	SYM
ejpam-6890	42	7	h(p1(ζ	h(p1(ζ	NOUN
ejpam-6890	42	8	)	)	PUNCT
ejpam-6890	42	9	)	)	PUNCT
ejpam-6890	42	10	and	and	CCONJ
ejpam-6890	42	11	p2(ϕ	p2(ϕ	PROPN
ejpam-6890	42	12	,	,	PUNCT
ejpam-6890	42	13	δ	δ	PROPN
ejpam-6890	42	14	)	)	PUNCT
ejpam-6890	42	15	=	=	SYM
ejpam-6890	42	16	h(p2(ζ	h(p2(ζ	PROPN
ejpam-6890	42	17	)	)	PUNCT
ejpam-6890	42	18	)	)	PUNCT
ejpam-6890	42	19	,	,	PUNCT
ejpam-6890	42	20	and	and	CCONJ
ejpam-6890	42	21	β	β	PROPN
ejpam-6890	42	22	and	and	CCONJ
ejpam-6890	42	23	γ	γ	PROPN
ejpam-6890	42	24	are	be	AUX
ejpam-6890	42	25	nonzero	nonzero	ADJ
ejpam-6890	42	26	real	real	ADJ
ejpam-6890	42	27	numbers	number	NOUN
ejpam-6890	42	28	,	,	PUNCT
ejpam-6890	42	29	then	then	ADV
ejpam-6890	42	30	the	the	DET
ejpam-6890	42	31	following	follow	VERB
ejpam-6890	42	32	properties	property	NOUN
ejpam-6890	42	33	hold	hold	VERB
ejpam-6890	42	34	:	:	PUNCT
ejpam-6890	42	35	h(βp1(ζ	h(βp1(ζ	NUM
ejpam-6890	42	36	)	)	PUNCT
ejpam-6890	42	37	+	+	ADJ
ejpam-6890	42	38	γp2(ζ	γp2(ζ	NOUN
ejpam-6890	42	39	)	)	PUNCT
ejpam-6890	42	40	)	)	PUNCT
ejpam-6890	43	1	=	=	SYM
ejpam-6890	43	2	βh(p1(ζ	βh(p1(ζ	PROPN
ejpam-6890	43	3	)	)	PUNCT
ejpam-6890	43	4	)	)	PUNCT
ejpam-6890	44	1	+	+	CCONJ
ejpam-6890	44	2	γh(p2(ζ	γh(p2(ζ	PROPN
ejpam-6890	44	3	)	)	PUNCT
ejpam-6890	44	4	)	)	PUNCT
ejpam-6890	44	5	,	,	PUNCT
ejpam-6890	44	6	(	(	PUNCT
ejpam-6890	44	7	6	6	X
ejpam-6890	44	8	)	)	PUNCT
ejpam-6890	44	9	h(ζβ	h(ζβ	PROPN
ejpam-6890	44	10	)	)	PUNCT
ejpam-6890	44	11	=	=	SYM
ejpam-6890	45	1	γ(β	γ(β	PROPN
ejpam-6890	45	2	+	+	CCONJ
ejpam-6890	45	3	1	1	X
ejpam-6890	45	4	)	)	PUNCT
ejpam-6890	45	5	(	(	PUNCT
ejpam-6890	45	6	δ	δ	PROPN
ejpam-6890	45	7	ϕ	ϕ	PROPN
ejpam-6890	45	8	)	)	PUNCT
ejpam-6890	45	9	β+1	β+1	NUM
ejpam-6890	45	10	,	,	PUNCT
ejpam-6890	45	11	(	(	PUNCT
ejpam-6890	45	12	7	7	NUM
ejpam-6890	45	13	)	)	PUNCT
ejpam-6890	45	14	h(eγζ	h(eγζ	VERB
ejpam-6890	45	15	)	)	PUNCT
ejpam-6890	45	16	=	=	SYM
ejpam-6890	46	1	δ	δ	X
ejpam-6890	46	2	ϕ−	ϕ−	PROPN
ejpam-6890	46	3	γδ	γδ	ADP
ejpam-6890	46	4	,	,	PUNCT
ejpam-6890	46	5	(	(	PUNCT
ejpam-6890	46	6	8)	8)	NUM
ejpam-6890	46	7	m.	m.	NOUN
ejpam-6890	46	8	al	al	PROPN
ejpam-6890	46	9	-	-	PUNCT
ejpam-6890	46	10	momani	momani	X
ejpam-6890	46	11	et	et	PROPN
ejpam-6890	46	12	al	al	PROPN
ejpam-6890	46	13	.	.	PUNCT
ejpam-6890	46	14	/	/	SYM
ejpam-6890	46	15	eur	eur	PROPN
ejpam-6890	46	16	.	.	PUNCT
ejpam-6890	47	1	j.	j.	PROPN
ejpam-6890	47	2	pure	pure	PROPN
ejpam-6890	47	3	appl	appl	PROPN
ejpam-6890	47	4	.	.	PROPN
ejpam-6890	47	5	math	math	PROPN
ejpam-6890	47	6	,	,	PUNCT
ejpam-6890	47	7	18	18	NUM
ejpam-6890	47	8	(	(	PUNCT
ejpam-6890	47	9	4	4	NUM
ejpam-6890	47	10	)	)	PUNCT
ejpam-6890	47	11	(	(	PUNCT
ejpam-6890	47	12	2025	2025	NUM
ejpam-6890	47	13	)	)	PUNCT
ejpam-6890	47	14	,	,	PUNCT
ejpam-6890	47	15	6890	6890	NUM
ejpam-6890	47	16	3	3	NUM
ejpam-6890	47	17	of	of	ADP
ejpam-6890	47	18	15	15	NUM
ejpam-6890	47	19	h(p′(ζ	h(p′(ζ	NOUN
ejpam-6890	47	20	)	)	PUNCT
ejpam-6890	47	21	)	)	PUNCT
ejpam-6890	48	1	=	=	PUNCT
ejpam-6890	48	2	ϕ	ϕ	PROPN
ejpam-6890	48	3	δ	δ	X
ejpam-6890	48	4	p	p	X
ejpam-6890	48	5	(	(	PUNCT
ejpam-6890	48	6	ϕ	ϕ	NOUN
ejpam-6890	48	7	,	,	PUNCT
ejpam-6890	48	8	δ)−	δ)−	PROPN
ejpam-6890	48	9	p(0	p(0	PROPN
ejpam-6890	48	10	)	)	PUNCT
ejpam-6890	48	11	,	,	PUNCT
ejpam-6890	48	12	(	(	PUNCT
ejpam-6890	48	13	9	9	X
ejpam-6890	48	14	)	)	PUNCT
ejpam-6890	48	15	h(p′′(ζ	h(p′′(ζ	PROPN
ejpam-6890	48	16	)	)	PUNCT
ejpam-6890	48	17	)	)	PUNCT
ejpam-6890	49	1	=	=	PUNCT
ejpam-6890	49	2	ϕ2	ϕ2	ADV
ejpam-6890	49	3	δ2	δ2	VERB
ejpam-6890	49	4	p	p	X
ejpam-6890	49	5	(	(	PUNCT
ejpam-6890	49	6	ϕ	ϕ	NOUN
ejpam-6890	49	7	,	,	PUNCT
ejpam-6890	49	8	δ)−	δ)−	PROPN
ejpam-6890	49	9	ϕ	ϕ	PROPN
ejpam-6890	49	10	δ	δ	PROPN
ejpam-6890	49	11	p(0)−	p(0)−	PROPN
ejpam-6890	49	12	p′(0	p′(0	NOUN
ejpam-6890	49	13	)	)	PUNCT
ejpam-6890	49	14	.	.	PUNCT
ejpam-6890	50	1	(	(	PUNCT
ejpam-6890	50	2	10	10	NUM
ejpam-6890	50	3	)	)	PUNCT
ejpam-6890	50	4	3	3	NUM
ejpam-6890	50	5	.	.	PUNCT
ejpam-6890	51	1	the	the	DET
ejpam-6890	51	2	double	double	ADJ
ejpam-6890	51	3	sawi	sawi	ADJ
ejpam-6890	51	4	-	-	PUNCT
ejpam-6890	51	5	shehu	shehu	NOUN
ejpam-6890	51	6	transform	transform	VERB
ejpam-6890	51	7	this	this	DET
ejpam-6890	51	8	section	section	NOUN
ejpam-6890	51	9	introduces	introduce	VERB
ejpam-6890	51	10	the	the	DET
ejpam-6890	51	11	double	double	ADJ
ejpam-6890	51	12	sawi	sawi	ADJ
ejpam-6890	51	13	-	-	PUNCT
ejpam-6890	51	14	shehu	shehu	NOUN
ejpam-6890	51	15	transformation	transformation	NOUN
ejpam-6890	51	16	(	(	PUNCT
ejpam-6890	51	17	dsw	dsw	NOUN
ejpam-6890	51	18	-	-	PUNCT
ejpam-6890	51	19	sht	sht	NOUN
ejpam-6890	51	20	)	)	PUNCT
ejpam-6890	51	21	,	,	PUNCT
ejpam-6890	51	22	which	which	PRON
ejpam-6890	51	23	combines	combine	VERB
ejpam-6890	51	24	the	the	DET
ejpam-6890	51	25	sawi	sawi	ADJ
ejpam-6890	51	26	and	and	CCONJ
ejpam-6890	51	27	shehu	shehu	NOUN
ejpam-6890	51	28	transforms	transform	VERB
ejpam-6890	51	29	.	.	PUNCT
ejpam-6890	52	1	the	the	DET
ejpam-6890	52	2	fundamental	fundamental	ADJ
ejpam-6890	52	3	properties	property	NOUN
ejpam-6890	52	4	of	of	ADP
ejpam-6890	52	5	this	this	DET
ejpam-6890	52	6	new	new	ADJ
ejpam-6890	52	7	double	double	ADJ
ejpam-6890	52	8	transform	transform	NOUN
ejpam-6890	52	9	,	,	PUNCT
ejpam-6890	52	10	including	include	VERB
ejpam-6890	52	11	linearity	linearity	NOUN
ejpam-6890	52	12	and	and	CCONJ
ejpam-6890	52	13	inversion	inversion	NOUN
ejpam-6890	52	14	,	,	PUNCT
ejpam-6890	52	15	are	be	AUX
ejpam-6890	52	16	presented	present	VERB
ejpam-6890	52	17	.	.	PUNCT
ejpam-6890	53	1	additionally	additionally	ADV
ejpam-6890	53	2	,	,	PUNCT
ejpam-6890	53	3	new	new	ADJ
ejpam-6890	53	4	results	result	NOUN
ejpam-6890	53	5	related	relate	VERB
ejpam-6890	53	6	to	to	ADP
ejpam-6890	53	7	partial	partial	ADJ
ejpam-6890	53	8	derivatives	derivative	NOUN
ejpam-6890	53	9	and	and	CCONJ
ejpam-6890	53	10	the	the	DET
ejpam-6890	53	11	convolution	convolution	NOUN
ejpam-6890	53	12	theorem	theorem	NOUN
ejpam-6890	53	13	are	be	AUX
ejpam-6890	53	14	established	establish	VERB
ejpam-6890	53	15	.	.	PUNCT
ejpam-6890	54	1	these	these	DET
ejpam-6890	54	2	results	result	NOUN
ejpam-6890	54	3	are	be	AUX
ejpam-6890	54	4	implemented	implement	VERB
ejpam-6890	54	5	to	to	PART
ejpam-6890	54	6	compute	compute	VERB
ejpam-6890	54	7	the	the	DET
ejpam-6890	54	8	dsw	dsw	NOUN
ejpam-6890	54	9	-	-	PUNCT
ejpam-6890	54	10	sht	sht	NOUN
ejpam-6890	54	11	for	for	ADP
ejpam-6890	54	12	some	some	DET
ejpam-6890	54	13	basic	basic	ADJ
ejpam-6890	54	14	functions	function	NOUN
ejpam-6890	54	15	.	.	PUNCT
ejpam-6890	55	1	we	we	PRON
ejpam-6890	55	2	define	define	VERB
ejpam-6890	55	3	the	the	DET
ejpam-6890	55	4	dsw	dsw	NOUN
ejpam-6890	55	5	-	-	PUNCT
ejpam-6890	55	6	sht	sht	NOUN
ejpam-6890	55	7	transform	transform	NOUN
ejpam-6890	55	8	as	as	SCONJ
ejpam-6890	55	9	follows	follow	VERB
ejpam-6890	55	10	:	:	PUNCT
ejpam-6890	55	11	u(σ	u(σ	PROPN
ejpam-6890	55	12	,	,	PUNCT
ejpam-6890	55	13	ϕ	ϕ	PROPN
ejpam-6890	55	14	,	,	PUNCT
ejpam-6890	55	15	δ	δ	PROPN
ejpam-6890	55	16	)	)	PUNCT
ejpam-6890	55	17	=	=	PUNCT
ejpam-6890	56	1	wεhζ(u(ε	wεhζ(u(ε	NOUN
ejpam-6890	56	2	,	,	PUNCT
ejpam-6890	56	3	ζ	ζ	NOUN
ejpam-6890	56	4	)	)	PUNCT
ejpam-6890	56	5	)	)	PUNCT
ejpam-6890	56	6	=	=	SYM
ejpam-6890	56	7	1	1	NUM
ejpam-6890	56	8	σ2	σ2	PROPN
ejpam-6890	56	9	∞∫	∞∫	PROPN
ejpam-6890	56	10	0	0	NUM
ejpam-6890	56	11	∞∫	∞∫	PROPN
ejpam-6890	56	12	0	0	NUM
ejpam-6890	57	1	e−	e−	PROPN
ejpam-6890	57	2	ε	ε	PROPN
ejpam-6890	57	3	σ	σ	PROPN
ejpam-6890	57	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	57	5	δ	δ	PROPN
ejpam-6890	57	6	u(ε	u(ε	PROPN
ejpam-6890	57	7	,	,	PUNCT
ejpam-6890	57	8	ζ	ζ	NOUN
ejpam-6890	57	9	)	)	PUNCT
ejpam-6890	57	10	dεdζ	dεdζ	NOUN
ejpam-6890	57	11	,	,	PUNCT
ejpam-6890	57	12	(	(	PUNCT
ejpam-6890	57	13	11	11	NUM
ejpam-6890	57	14	)	)	PUNCT
ejpam-6890	57	15	where	where	SCONJ
ejpam-6890	57	16	u(ε	u(ε	PROPN
ejpam-6890	57	17	,	,	PUNCT
ejpam-6890	57	18	ζ	ζ	NOUN
ejpam-6890	57	19	)	)	PUNCT
ejpam-6890	57	20	is	be	AUX
ejpam-6890	57	21	a	a	DET
ejpam-6890	57	22	continuous	continuous	ADJ
ejpam-6890	57	23	function	function	NOUN
ejpam-6890	57	24	on	on	ADP
ejpam-6890	57	25	[	[	X
ejpam-6890	57	26	0,∞)×[0,∞	0,∞)×[0,∞	NOUN
ejpam-6890	57	27	)	)	PUNCT
ejpam-6890	57	28	.	.	PUNCT
ejpam-6890	58	1	if	if	SCONJ
ejpam-6890	58	2	u(ε	u(ε	PROPN
ejpam-6890	58	3	,	,	PUNCT
ejpam-6890	58	4	ζ	ζ	NOUN
ejpam-6890	58	5	)	)	PUNCT
ejpam-6890	58	6	can	can	AUX
ejpam-6890	58	7	be	be	AUX
ejpam-6890	58	8	written	write	VERB
ejpam-6890	58	9	as	as	ADP
ejpam-6890	58	10	u(ε	u(ε	PROPN
ejpam-6890	58	11	,	,	PUNCT
ejpam-6890	58	12	ζ	ζ	NOUN
ejpam-6890	58	13	)	)	PUNCT
ejpam-6890	58	14	=	=	SYM
ejpam-6890	58	15	w(ε)x(ζ	w(ε)x(ζ	X
ejpam-6890	58	16	)	)	PUNCT
ejpam-6890	58	17	for	for	ADP
ejpam-6890	58	18	some	some	DET
ejpam-6890	58	19	continuous	continuous	ADJ
ejpam-6890	58	20	functions	function	NOUN
ejpam-6890	58	21	w	w	PROPN
ejpam-6890	58	22	and	and	CCONJ
ejpam-6890	58	23	σ	σ	PROPN
ejpam-6890	58	24	,	,	PUNCT
ejpam-6890	58	25	then	then	ADV
ejpam-6890	58	26	wεhζ(u(ε	wεhζ(u(ε	PROPN
ejpam-6890	58	27	,	,	PUNCT
ejpam-6890	58	28	ζ	ζ	NOUN
ejpam-6890	58	29	)	)	PUNCT
ejpam-6890	58	30	)	)	PUNCT
ejpam-6890	59	1	=	=	SYM
ejpam-6890	59	2	w	w	PROPN
ejpam-6890	59	3	(	(	PUNCT
ejpam-6890	59	4	w(ε))h(x(ζ	w(ε))h(x(ζ	PROPN
ejpam-6890	59	5	)	)	PUNCT
ejpam-6890	59	6	)	)	PUNCT
ejpam-6890	59	7	.	.	PUNCT
ejpam-6890	60	1	in	in	ADP
ejpam-6890	60	2	fact	fact	NOUN
ejpam-6890	60	3	wεhζ(u(ε	wεhζ(u(ε	NOUN
ejpam-6890	60	4	,	,	PUNCT
ejpam-6890	60	5	ζ	ζ	NOUN
ejpam-6890	60	6	)	)	PUNCT
ejpam-6890	60	7	)	)	PUNCT
ejpam-6890	61	1	=	=	SYM
ejpam-6890	61	2	wεhζ(w(ε)x(ζ	wεhζ(w(ε)x(ζ	NOUN
ejpam-6890	61	3	)	)	PUNCT
ejpam-6890	61	4	)	)	PUNCT
ejpam-6890	62	1	=	=	SYM
ejpam-6890	62	2	1	1	NUM
ejpam-6890	62	3	σ2	σ2	PROPN
ejpam-6890	62	4	∞∫	∞∫	PROPN
ejpam-6890	62	5	0	0	NUM
ejpam-6890	63	1	∞∫	∞∫	PROPN
ejpam-6890	63	2	0	0	NUM
ejpam-6890	64	1	e−	e−	PROPN
ejpam-6890	64	2	ε	ε	PROPN
ejpam-6890	64	3	σ	σ	PROPN
ejpam-6890	64	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	64	5	δ	δ	PROPN
ejpam-6890	64	6	w(ε)x(ζ)dεdζ	w(ε)x(ζ)dεdζ	NOUN
ejpam-6890	64	7	=	=	PUNCT
ejpam-6890	64	8			PROPN
ejpam-6890	64	9	1	1	NUM
ejpam-6890	64	10	σ2	σ2	PROPN
ejpam-6890	64	11	∞∫	∞∫	PROPN
ejpam-6890	64	12	0	0	NUM
ejpam-6890	65	1	e−	e−	PROPN
ejpam-6890	65	2	ε	ε	PROPN
ejpam-6890	65	3	σw(ε)dε	σw(ε)dε	VERB
ejpam-6890	65	4	∞∫	∞∫	PRON
ejpam-6890	65	5	0	0	NUM
ejpam-6890	66	1	e−	e−	NUM
ejpam-6890	66	2	ϕζ	ϕζ	NOUN
ejpam-6890	66	3	δ	δ	PROPN
ejpam-6890	66	4	x(ζ)dζ	x(ζ)dζ	X
ejpam-6890	67	1			PROPN
ejpam-6890	67	2	=	=	SYM
ejpam-6890	67	3	w	w	PROPN
ejpam-6890	67	4	(	(	PUNCT
ejpam-6890	67	5	w(ε))h(x(ζ	w(ε))h(x(ζ	PROPN
ejpam-6890	67	6	)	)	PUNCT
ejpam-6890	67	7	)	)	PUNCT
ejpam-6890	67	8	.	.	PUNCT
ejpam-6890	68	1	3.1	3.1	NUM
ejpam-6890	68	2	.	.	PUNCT
ejpam-6890	69	1	the	the	DET
ejpam-6890	69	2	double	double	ADJ
ejpam-6890	69	3	sawi	sawi	ADJ
ejpam-6890	69	4	-	-	PUNCT
ejpam-6890	69	5	shehu	shehu	NOUN
ejpam-6890	69	6	transform	transform	NOUN
ejpam-6890	69	7	for	for	ADP
ejpam-6890	69	8	some	some	DET
ejpam-6890	69	9	basic	basic	ADJ
ejpam-6890	69	10	functions	function	NOUN
ejpam-6890	69	11	(	(	PUNCT
ejpam-6890	69	12	i	i	NOUN
ejpam-6890	69	13	)	)	PUNCT
ejpam-6890	69	14	wεhζ(1	wεhζ(1	PROPN
ejpam-6890	69	15	)	)	PUNCT
ejpam-6890	69	16	=	=	SYM
ejpam-6890	70	1	1	1	NUM
ejpam-6890	70	2	σ2	σ2	PROPN
ejpam-6890	70	3	∞∫	∞∫	PROPN
ejpam-6890	70	4	0	0	NUM
ejpam-6890	71	1	∞∫	∞∫	PROPN
ejpam-6890	71	2	0	0	NUM
ejpam-6890	72	1	e−	e−	PROPN
ejpam-6890	72	2	ε	ε	PROPN
ejpam-6890	72	3	σ	σ	PROPN
ejpam-6890	72	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	72	5	δ	δ	PROPN
ejpam-6890	72	6	dεdζ	dεdζ	NOUN
ejpam-6890	72	7	=	=	PUNCT
ejpam-6890	73	1			PROPN
ejpam-6890	73	2	1	1	NUM
ejpam-6890	73	3	σ2	σ2	PROPN
ejpam-6890	73	4	∞∫	∞∫	PROPN
ejpam-6890	73	5	0	0	NUM
ejpam-6890	74	1	e−	e−	PROPN
ejpam-6890	74	2	ε	ε	PROPN
ejpam-6890	74	3	σ	σ	NUM
ejpam-6890	74	4	∞∫	∞∫	PRON
ejpam-6890	74	5	0	0	NUM
ejpam-6890	75	1	e−	e−	NUM
ejpam-6890	75	2	ϕζ	ϕζ	NOUN
ejpam-6890	75	3	δ	δ	PROPN
ejpam-6890	75	4	dζ	dζ	PROPN
ejpam-6890	75	5			PROPN
ejpam-6890	75	6	=	=	SYM
ejpam-6890	75	7	1	1	NUM
ejpam-6890	75	8	σ	σ	PROPN
ejpam-6890	75	9	×	×	PROPN
ejpam-6890	75	10	δ	δ	PROPN
ejpam-6890	75	11	ϕ	ϕ	NOUN
ejpam-6890	75	12	=	=	PUNCT
ejpam-6890	75	13	δ	δ	PROPN
ejpam-6890	75	14	σϕ	σϕ	INTJ
ejpam-6890	75	15	,	,	PUNCT
ejpam-6890	75	16	re(σ	re(σ	X
ejpam-6890	75	17	)	)	PUNCT
ejpam-6890	75	18	>	>	X
ejpam-6890	75	19	0	0	X
ejpam-6890	75	20	.	.	PUNCT
ejpam-6890	76	1	m.	m.	PROPN
ejpam-6890	76	2	al	al	PROPN
ejpam-6890	76	3	-	-	PUNCT
ejpam-6890	76	4	momani	momani	X
ejpam-6890	76	5	et	et	PROPN
ejpam-6890	76	6	al	al	PROPN
ejpam-6890	76	7	.	.	PUNCT
ejpam-6890	76	8	/	/	SYM
ejpam-6890	76	9	eur	eur	PROPN
ejpam-6890	76	10	.	.	PUNCT
ejpam-6890	77	1	j.	j.	PROPN
ejpam-6890	77	2	pure	pure	PROPN
ejpam-6890	77	3	appl	appl	PROPN
ejpam-6890	77	4	.	.	PROPN
ejpam-6890	77	5	math	math	PROPN
ejpam-6890	77	6	,	,	PUNCT
ejpam-6890	77	7	18	18	NUM
ejpam-6890	77	8	(	(	PUNCT
ejpam-6890	77	9	4	4	NUM
ejpam-6890	77	10	)	)	PUNCT
ejpam-6890	77	11	(	(	PUNCT
ejpam-6890	77	12	2025	2025	NUM
ejpam-6890	77	13	)	)	PUNCT
ejpam-6890	77	14	,	,	PUNCT
ejpam-6890	77	15	6890	6890	NUM
ejpam-6890	77	16	4	4	NUM
ejpam-6890	77	17	of	of	ADP
ejpam-6890	77	18	15	15	NUM
ejpam-6890	77	19	(	(	PUNCT
ejpam-6890	77	20	ii	ii	NOUN
ejpam-6890	77	21	)	)	PUNCT
ejpam-6890	77	22	wεhζ(ε	wεhζ(ε	NUM
ejpam-6890	77	23	βζγ	βζγ	NOUN
ejpam-6890	77	24	)	)	PUNCT
ejpam-6890	78	1	=	=	SYM
ejpam-6890	78	2	1	1	NUM
ejpam-6890	78	3	σ2	σ2	PROPN
ejpam-6890	78	4	∞∫	∞∫	PROPN
ejpam-6890	78	5	0	0	NUM
ejpam-6890	79	1	∞∫	∞∫	PROPN
ejpam-6890	79	2	0	0	NUM
ejpam-6890	80	1	e−	e−	PROPN
ejpam-6890	80	2	ε	ε	PROPN
ejpam-6890	80	3	σ	σ	PROPN
ejpam-6890	80	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	80	5	δ	δ	PROPN
ejpam-6890	80	6	εβζγdεdζ	εβζγdεdζ	NOUN
ejpam-6890	80	7	=	=	PUNCT
ejpam-6890	80	8			PROPN
ejpam-6890	80	9	1	1	NUM
ejpam-6890	80	10	σ2	σ2	PROPN
ejpam-6890	80	11	∞∫	∞∫	PROPN
ejpam-6890	80	12	0	0	PUNCT
ejpam-6890	81	1	εβe−	εβe−	PROPN
ejpam-6890	81	2	ε	ε	PROPN
ejpam-6890	81	3	σ	σ	PROPN
ejpam-6890	81	4	dε	dε	VERB
ejpam-6890	81	5			PUNCT
ejpam-6890	81	6	∞∫	∞∫	PROPN
ejpam-6890	81	7	0	0	PUNCT
ejpam-6890	82	1	ζγe−	ζγe−	NOUN
ejpam-6890	82	2	ϕζ	ϕζ	NOUN
ejpam-6890	82	3	δ	δ	PROPN
ejpam-6890	82	4	dζ	dζ	PROPN
ejpam-6890	82	5			PROPN
ejpam-6890	82	6	=	=	SYM
ejpam-6890	83	1	γ(β	γ(β	PROPN
ejpam-6890	83	2	+	+	NUM
ejpam-6890	83	3	1)σβ−1	1)σβ−1	NUM
ejpam-6890	83	4	×	×	NOUN
ejpam-6890	83	5	γ(γ	γ(γ	PROPN
ejpam-6890	83	6	+	+	CCONJ
ejpam-6890	83	7	1	1	X
ejpam-6890	83	8	)	)	PUNCT
ejpam-6890	83	9	(	(	PUNCT
ejpam-6890	83	10	δ	δ	PROPN
ejpam-6890	83	11	ϕ	ϕ	PROPN
ejpam-6890	83	12	)	)	PUNCT
ejpam-6890	84	1	γ+1	γ+1	PROPN
ejpam-6890	84	2	=	=	SYM
ejpam-6890	84	3	σβ−1δγ+1	σβ−1δγ+1	X
ejpam-6890	84	4	ϕγ+1	ϕγ+1	NUM
ejpam-6890	84	5	γ(β	γ(β	PROPN
ejpam-6890	84	6	+	+	CCONJ
ejpam-6890	84	7	1)γ(γ	1)γ(γ	NUM
ejpam-6890	84	8	+	+	CCONJ
ejpam-6890	84	9	1	1	NUM
ejpam-6890	84	10	)	)	PUNCT
ejpam-6890	84	11	,	,	PUNCT
ejpam-6890	84	12	re(σ	re(σ	X
ejpam-6890	84	13	)	)	PUNCT
ejpam-6890	84	14	>	>	SYM
ejpam-6890	84	15	0	0	PUNCT
ejpam-6890	84	16	and	and	CCONJ
ejpam-6890	84	17	re(β	re(β	PROPN
ejpam-6890	84	18	)	)	PUNCT
ejpam-6890	84	19	>	>	X
ejpam-6890	84	20	−1	−1	NOUN
ejpam-6890	84	21	.	.	PUNCT
ejpam-6890	85	1	(	(	PUNCT
ejpam-6890	85	2	iii	iii	X
ejpam-6890	85	3	)	)	PUNCT
ejpam-6890	85	4	wεhζ(e	wεhζ(e	NOUN
ejpam-6890	85	5	βε+γζ	βε+γζ	PUNCT
ejpam-6890	85	6	)	)	PUNCT
ejpam-6890	85	7	=	=	SYM
ejpam-6890	85	8	1	1	NUM
ejpam-6890	85	9	σ2	σ2	PROPN
ejpam-6890	85	10	∞∫	∞∫	PROPN
ejpam-6890	85	11	0	0	NUM
ejpam-6890	86	1	∞∫	∞∫	PROPN
ejpam-6890	86	2	0	0	NUM
ejpam-6890	87	1	e−	e−	PROPN
ejpam-6890	87	2	ε	ε	PROPN
ejpam-6890	87	3	σ	σ	PROPN
ejpam-6890	87	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	87	5	δ	δ	PROPN
ejpam-6890	87	6	eβε+γζdεdζ	eβε+γζdεdζ	NOUN
ejpam-6890	87	7	=	=	SYM
ejpam-6890	87	8			PROPN
ejpam-6890	87	9	1	1	NUM
ejpam-6890	87	10	σ2	σ2	PROPN
ejpam-6890	87	11	∞∫	∞∫	PROPN
ejpam-6890	87	12	0	0	NUM
ejpam-6890	87	13	eβε−	eβε−	PROPN
ejpam-6890	87	14	ε	ε	PROPN
ejpam-6890	87	15	σ	σ	PROPN
ejpam-6890	87	16	dε	dε	VERB
ejpam-6890	87	17	∞∫	∞∫	PRON
ejpam-6890	87	18	0	0	PUNCT
ejpam-6890	88	1	eγζ−	eγζ−	PROPN
ejpam-6890	88	2	ϕζ	ϕζ	PROPN
ejpam-6890	88	3	δ	δ	PROPN
ejpam-6890	88	4	dζ	dζ	PROPN
ejpam-6890	88	5			PROPN
ejpam-6890	88	6	=	=	SYM
ejpam-6890	88	7	1	1	NUM
ejpam-6890	88	8	σ	σ	NOUN
ejpam-6890	88	9	(	(	PUNCT
ejpam-6890	88	10	1−	1−	NUM
ejpam-6890	88	11	σβ	σβ	NOUN
ejpam-6890	88	12	)	)	PUNCT
ejpam-6890	88	13	×	×	PROPN
ejpam-6890	88	14	δ	δ	PROPN
ejpam-6890	88	15	ϕ−	ϕ−	PROPN
ejpam-6890	88	16	γδ	γδ	ADP
ejpam-6890	88	17	=	=	SYM
ejpam-6890	88	18	δ	δ	PROPN
ejpam-6890	88	19	σ	σ	PROPN
ejpam-6890	88	20	(	(	PUNCT
ejpam-6890	88	21	1−	1−	NUM
ejpam-6890	88	22	σβ	σβ	NOUN
ejpam-6890	88	23	)	)	PUNCT
ejpam-6890	88	24	(	(	PUNCT
ejpam-6890	88	25	ϕ−	ϕ−	PROPN
ejpam-6890	88	26	γδ	γδ	ADP
ejpam-6890	88	27	)	)	PUNCT
ejpam-6890	88	28	,	,	PUNCT
ejpam-6890	88	29	re	re	VERB
ejpam-6890	88	30	(	(	PUNCT
ejpam-6890	88	31	1	1	NUM
ejpam-6890	88	32	σ	σ	PROPN
ejpam-6890	88	33	)	)	PUNCT
ejpam-6890	88	34	>	>	PUNCT
ejpam-6890	88	35	re(β	re(β	NUM
ejpam-6890	88	36	)	)	PUNCT
ejpam-6890	88	37	.	.	PUNCT
ejpam-6890	89	1	3.2	3.2	NUM
ejpam-6890	89	2	.	.	PUNCT
ejpam-6890	90	1	existence	existence	NOUN
ejpam-6890	90	2	condition	condition	NOUN
ejpam-6890	90	3	for	for	ADP
ejpam-6890	90	4	double	double	ADJ
ejpam-6890	90	5	sawi	sawi	ADJ
ejpam-6890	90	6	-	-	PUNCT
ejpam-6890	90	7	shehu	shehu	NOUN
ejpam-6890	90	8	transform	transform	VERB
ejpam-6890	90	9	definition	definition	NOUN
ejpam-6890	90	10	3	3	NUM
ejpam-6890	90	11	.	.	PUNCT
ejpam-6890	91	1	a	a	DET
ejpam-6890	91	2	function	function	NOUN
ejpam-6890	91	3	u(ε	u(ε	PROPN
ejpam-6890	91	4	,	,	PUNCT
ejpam-6890	91	5	ζ	ζ	NOUN
ejpam-6890	91	6	)	)	PUNCT
ejpam-6890	91	7	is	be	AUX
ejpam-6890	91	8	said	say	VERB
ejpam-6890	91	9	to	to	PART
ejpam-6890	91	10	be	be	AUX
ejpam-6890	91	11	of	of	ADP
ejpam-6890	91	12	exponential	exponential	ADJ
ejpam-6890	91	13	orders	order	NOUN
ejpam-6890	91	14	β	β	X
ejpam-6890	91	15	and	and	CCONJ
ejpam-6890	91	16	γ	γ	X
ejpam-6890	91	17	on	on	ADP
ejpam-6890	91	18	0	0	NUM
ejpam-6890	91	19	≤	≤	NUM
ejpam-6890	92	1	ε	ε	PROPN
ejpam-6890	92	2	<	<	X
ejpam-6890	92	3	∞	∞	PROPN
ejpam-6890	92	4	and	and	CCONJ
ejpam-6890	92	5	0	0	NUM
ejpam-6890	92	6	≤	≤	NOUN
ejpam-6890	92	7	ζ	ζ	NOUN
ejpam-6890	92	8	<	<	X
ejpam-6890	92	9	∞.	∞.	PROPN
ejpam-6890	92	10	if	if	SCONJ
ejpam-6890	92	11	there	there	PRON
ejpam-6890	92	12	exist	exist	VERB
ejpam-6890	92	13	b	b	NUM
ejpam-6890	92	14	,	,	PUNCT
ejpam-6890	92	15	x	x	PROPN
ejpam-6890	92	16	,	,	PUNCT
ejpam-6890	92	17	y	y	PROPN
ejpam-6890	92	18	>	>	X
ejpam-6890	92	19	0	0	NUM
ejpam-6890	93	1	such	such	ADJ
ejpam-6890	93	2	that	that	SCONJ
ejpam-6890	93	3	|u(ε	|u(ε	NOUN
ejpam-6890	93	4	,	,	PUNCT
ejpam-6890	93	5	ζ)|	ζ)|	NOUN
ejpam-6890	93	6	≤	≤	ADJ
ejpam-6890	93	7	beβε+γζ	beβε+γζ	NOUN
ejpam-6890	93	8	,	,	PUNCT
ejpam-6890	93	9	for	for	ADP
ejpam-6890	93	10	all	all	DET
ejpam-6890	93	11	ε	ε	PROPN
ejpam-6890	93	12	>	>	X
ejpam-6890	93	13	x	x	PROPN
ejpam-6890	93	14	,	,	PUNCT
ejpam-6890	93	15	ζ	ζ	PROPN
ejpam-6890	93	16	>	>	X
ejpam-6890	93	17	y.	y.	PROPN
ejpam-6890	93	18	theorem	theorem	VERB
ejpam-6890	93	19	1	1	X
ejpam-6890	93	20	.	.	PUNCT
ejpam-6890	94	1	let	let	AUX
ejpam-6890	94	2	u(ε	u(ε	PROPN
ejpam-6890	94	3	,	,	PUNCT
ejpam-6890	94	4	ζ	ζ	NOUN
ejpam-6890	94	5	)	)	PUNCT
ejpam-6890	94	6	be	be	VERB
ejpam-6890	94	7	a	a	DET
ejpam-6890	94	8	continuous	continuous	ADJ
ejpam-6890	94	9	function	function	NOUN
ejpam-6890	94	10	on	on	ADP
ejpam-6890	94	11	the	the	DET
ejpam-6890	94	12	region	region	NOUN
ejpam-6890	95	1	[	[	X
ejpam-6890	95	2	0,∞)×[0,∞	0,∞)×[0,∞	NOUN
ejpam-6890	95	3	)	)	PUNCT
ejpam-6890	95	4	of	of	ADP
ejpam-6890	95	5	exponential	exponential	ADJ
ejpam-6890	95	6	orders	order	NOUN
ejpam-6890	95	7	β	β	X
ejpam-6890	95	8	and	and	CCONJ
ejpam-6890	95	9	γ	γ	PROPN
ejpam-6890	95	10	.	.	PROPN
ejpam-6890	95	11	then	then	ADV
ejpam-6890	95	12	u(σ	u(σ	PROPN
ejpam-6890	95	13	,	,	PUNCT
ejpam-6890	95	14	ϕ	ϕ	PROPN
ejpam-6890	95	15	,	,	PUNCT
ejpam-6890	95	16	δ	δ	PROPN
ejpam-6890	95	17	)	)	PUNCT
ejpam-6890	95	18	exists	exist	VERB
ejpam-6890	95	19	for	for	ADP
ejpam-6890	95	20	σ	σ	PROPN
ejpam-6890	95	21	,	,	PUNCT
ejpam-6890	95	22	ϕ	ϕ	PROPN
ejpam-6890	95	23	and	and	CCONJ
ejpam-6890	95	24	δ	δ	PROPN
ejpam-6890	95	25	whenever	whenever	SCONJ
ejpam-6890	95	26	re	re	VERB
ejpam-6890	95	27	(	(	PUNCT
ejpam-6890	95	28	1σ	1σ	NOUN
ejpam-6890	95	29	)	)	PUNCT
ejpam-6890	95	30	>	>	PUNCT
ejpam-6890	96	1	β	β	X
ejpam-6890	96	2	and	and	CCONJ
ejpam-6890	96	3	re	re	PROPN
ejpam-6890	96	4	(	(	PUNCT
ejpam-6890	96	5	ϕ	ϕ	PROPN
ejpam-6890	96	6	δ	δ	PROPN
ejpam-6890	96	7	)	)	PUNCT
ejpam-6890	96	8	>	>	X
ejpam-6890	97	1	γ	γ	X
ejpam-6890	97	2	.	.	PUNCT
ejpam-6890	97	3	proof	proof	NOUN
ejpam-6890	97	4	.	.	PUNCT
ejpam-6890	98	1	|u(σ	|u(σ	NOUN
ejpam-6890	98	2	,	,	PUNCT
ejpam-6890	98	3	ϕ	ϕ	PROPN
ejpam-6890	98	4	,	,	PUNCT
ejpam-6890	98	5	δ)|	δ)|	PROPN
ejpam-6890	98	6	=	=	PUNCT
ejpam-6890	98	7	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-6890	98	8	1σ2	1σ2	NUM
ejpam-6890	98	9	∞∫	∞∫	PROPN
ejpam-6890	98	10	0	0	NUM
ejpam-6890	98	11	∞∫	∞∫	PROPN
ejpam-6890	98	12	0	0	NUM
ejpam-6890	99	1	e−	e−	PROPN
ejpam-6890	99	2	ε	ε	PROPN
ejpam-6890	99	3	σ	σ	PROPN
ejpam-6890	99	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	99	5	δ	δ	PROPN
ejpam-6890	99	6	u(ε	u(ε	PROPN
ejpam-6890	99	7	,	,	PUNCT
ejpam-6890	99	8	ζ	ζ	NOUN
ejpam-6890	99	9	)	)	PUNCT
ejpam-6890	99	10	dεdζ	dεdζ	NOUN
ejpam-6890	99	11	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-6890	99	12	≤	≤	PROPN
ejpam-6890	99	13	1	1	NUM
ejpam-6890	99	14	σ2	σ2	PROPN
ejpam-6890	99	15	∞∫	∞∫	PROPN
ejpam-6890	99	16	0	0	NUM
ejpam-6890	99	17	∞∫	∞∫	PROPN
ejpam-6890	99	18	0	0	NUM
ejpam-6890	100	1	e−	e−	PROPN
ejpam-6890	100	2	ε	ε	PROPN
ejpam-6890	100	3	σ	σ	PROPN
ejpam-6890	100	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	100	5	δ	δ	PROPN
ejpam-6890	100	6	|u(ε	|u(ε	PROPN
ejpam-6890	100	7	,	,	PUNCT
ejpam-6890	100	8	ζ)|	ζ)|	NOUN
ejpam-6890	100	9	dεdζ	dεdζ	NOUN
ejpam-6890	100	10	≤	≤	NUM
ejpam-6890	100	11	b	b	PROPN
ejpam-6890	100	12	σ2	σ2	PROPN
ejpam-6890	100	13	∞∫	∞∫	PROPN
ejpam-6890	100	14	0	0	NUM
ejpam-6890	101	1	∞∫	∞∫	PROPN
ejpam-6890	101	2	0	0	NUM
ejpam-6890	102	1	e−	e−	PROPN
ejpam-6890	102	2	ε	ε	PROPN
ejpam-6890	102	3	σ	σ	PROPN
ejpam-6890	102	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	102	5	δ	δ	PROPN
ejpam-6890	102	6	eβε+γζdεdζ	eβε+γζdεdζ	PROPN
ejpam-6890	102	7	=	=	SYM
ejpam-6890	102	8	b	b	PROPN
ejpam-6890	102	9	σ2	σ2	PROPN
ejpam-6890	102	10	∞∫	∞∫	PROPN
ejpam-6890	102	11	0	0	PUNCT
ejpam-6890	103	1	e−	e−	PROPN
ejpam-6890	103	2	(	(	PUNCT
ejpam-6890	103	3	1	1	NUM
ejpam-6890	103	4	σ	σ	PROPN
ejpam-6890	103	5	−β)εdε	−β)εdε	PROPN
ejpam-6890	103	6	∞∫	∞∫	PROPN
ejpam-6890	103	7	0	0	NUM
ejpam-6890	104	1	e−(ϕ	e−(ϕ	PRON
ejpam-6890	104	2	δ	δ	PROPN
ejpam-6890	104	3	−γ)ζdζ	−γ)ζdζ	NUM
ejpam-6890	104	4	m.	m.	NOUN
ejpam-6890	104	5	al	al	PROPN
ejpam-6890	104	6	-	-	PUNCT
ejpam-6890	104	7	momani	momani	X
ejpam-6890	104	8	et	et	PROPN
ejpam-6890	104	9	al	al	PROPN
ejpam-6890	104	10	.	.	PUNCT
ejpam-6890	104	11	/	/	SYM
ejpam-6890	104	12	eur	eur	PROPN
ejpam-6890	104	13	.	.	PUNCT
ejpam-6890	105	1	j.	j.	PROPN
ejpam-6890	105	2	pure	pure	PROPN
ejpam-6890	105	3	appl	appl	PROPN
ejpam-6890	105	4	.	.	PROPN
ejpam-6890	105	5	math	math	PROPN
ejpam-6890	105	6	,	,	PUNCT
ejpam-6890	105	7	18	18	NUM
ejpam-6890	105	8	(	(	PUNCT
ejpam-6890	105	9	4	4	NUM
ejpam-6890	105	10	)	)	PUNCT
ejpam-6890	105	11	(	(	PUNCT
ejpam-6890	105	12	2025	2025	NUM
ejpam-6890	105	13	)	)	PUNCT
ejpam-6890	105	14	,	,	PUNCT
ejpam-6890	105	15	6890	6890	NUM
ejpam-6890	105	16	5	5	NUM
ejpam-6890	105	17	of	of	ADP
ejpam-6890	105	18	15	15	NUM
ejpam-6890	105	19	=	=	SYM
ejpam-6890	105	20	b	b	NOUN
ejpam-6890	105	21	σ(1−	σ(1−	NOUN
ejpam-6890	105	22	σβ)(ϕδ	σβ)(ϕδ	PUNCT
ejpam-6890	105	23	−	−	PROPN
ejpam-6890	105	24	γ	γ	X
ejpam-6890	105	25	)	)	PUNCT
ejpam-6890	105	26	=	=	SYM
ejpam-6890	105	27	bδ	bδ	ADP
ejpam-6890	105	28	σ(1−	σ(1−	PROPN
ejpam-6890	105	29	σβ)(ϕ−	σβ)(ϕ−	PROPN
ejpam-6890	105	30	γ	γ	PROPN
ejpam-6890	105	31	δ	δ	PROPN
ejpam-6890	105	32	)	)	PUNCT
ejpam-6890	105	33	where	where	SCONJ
ejpam-6890	105	34	re	re	X
ejpam-6890	105	35	(	(	PUNCT
ejpam-6890	105	36	1σ	1σ	NOUN
ejpam-6890	105	37	)	)	PUNCT
ejpam-6890	105	38	>	>	PUNCT
ejpam-6890	105	39	β	β	X
ejpam-6890	105	40	and	and	CCONJ
ejpam-6890	105	41	re	re	PROPN
ejpam-6890	105	42	(	(	PUNCT
ejpam-6890	105	43	ϕ	ϕ	PROPN
ejpam-6890	105	44	δ	δ	PROPN
ejpam-6890	105	45	)	)	PUNCT
ejpam-6890	105	46	>	>	X
ejpam-6890	106	1	γ	γ	X
ejpam-6890	106	2	.	.	PROPN
ejpam-6890	106	3	3.3	3.3	NUM
ejpam-6890	106	4	.	.	PUNCT
ejpam-6890	107	1	linearity	linearity	VERB
ejpam-6890	107	2	the	the	DET
ejpam-6890	107	3	transform	transform	NOUN
ejpam-6890	107	4	wεhζ(u(ε	wεhζ(u(ε	PROPN
ejpam-6890	107	5	,	,	PUNCT
ejpam-6890	107	6	ζ	ζ	NOUN
ejpam-6890	107	7	)	)	PUNCT
ejpam-6890	107	8	)	)	PUNCT
ejpam-6890	107	9	is	be	AUX
ejpam-6890	107	10	linear	linear	ADJ
ejpam-6890	107	11	transformation	transformation	NOUN
ejpam-6890	107	12	.	.	PUNCT
ejpam-6890	108	1	in	in	ADP
ejpam-6890	108	2	fact	fact	NOUN
ejpam-6890	108	3	,	,	PUNCT
ejpam-6890	108	4	for	for	ADP
ejpam-6890	108	5	nonzero	nonzero	PROPN
ejpam-6890	108	6	constants	constant	NOUN
ejpam-6890	108	7	β	β	X
ejpam-6890	108	8	and	and	CCONJ
ejpam-6890	108	9	γ	γ	X
ejpam-6890	108	10	,	,	PUNCT
ejpam-6890	108	11	we	we	PRON
ejpam-6890	108	12	have	have	VERB
ejpam-6890	108	13	wεhζ(βu1(ε	wεhζ(βu1(ε	PROPN
ejpam-6890	108	14	,	,	PUNCT
ejpam-6890	108	15	ζ)+γu2(ε	ζ)+γu2(ε	NOUN
ejpam-6890	108	16	,	,	PUNCT
ejpam-6890	108	17	ζ	ζ	NOUN
ejpam-6890	108	18	)	)	PUNCT
ejpam-6890	108	19	)	)	PUNCT
ejpam-6890	109	1	=	=	SYM
ejpam-6890	109	2	1	1	NUM
ejpam-6890	109	3	σ2	σ2	PROPN
ejpam-6890	109	4	∞∫	∞∫	PROPN
ejpam-6890	109	5	0	0	NUM
ejpam-6890	110	1	∞∫	∞∫	PROPN
ejpam-6890	110	2	0	0	NUM
ejpam-6890	111	1	e−	e−	PROPN
ejpam-6890	111	2	ε	ε	PROPN
ejpam-6890	111	3	σ	σ	PROPN
ejpam-6890	111	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	111	5	δ	δ	PROPN
ejpam-6890	111	6	(	(	PUNCT
ejpam-6890	111	7	βu1(ε	βu1(ε	PROPN
ejpam-6890	111	8	,	,	PUNCT
ejpam-6890	111	9	ζ	ζ	NOUN
ejpam-6890	111	10	)	)	PUNCT
ejpam-6890	111	11	+	+	NOUN
ejpam-6890	111	12	γu2(ε	γu2(ε	PROPN
ejpam-6890	111	13	,	,	PUNCT
ejpam-6890	111	14	ζ	ζ	NOUN
ejpam-6890	111	15	)	)	PUNCT
ejpam-6890	111	16	)	)	PUNCT
ejpam-6890	111	17	dεdζ	dεdζ	NOUN
ejpam-6890	111	18	,	,	PUNCT
ejpam-6890	111	19	=	=	NOUN
ejpam-6890	111	20	β	β	X
ejpam-6890	111	21	×	×	NOUN
ejpam-6890	111	22	1	1	NUM
ejpam-6890	111	23	σ2	σ2	PROPN
ejpam-6890	111	24	∞∫	∞∫	PROPN
ejpam-6890	111	25	0	0	NUM
ejpam-6890	111	26	∞∫	∞∫	PROPN
ejpam-6890	111	27	0	0	NUM
ejpam-6890	112	1	e−	e−	PROPN
ejpam-6890	112	2	ε	ε	PROPN
ejpam-6890	112	3	σ	σ	PROPN
ejpam-6890	112	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	112	5	δ	δ	PROPN
ejpam-6890	112	6	u1(ε	u1(ε	PROPN
ejpam-6890	112	7	,	,	PUNCT
ejpam-6890	112	8	ζ	ζ	NOUN
ejpam-6890	112	9	)	)	PUNCT
ejpam-6890	112	10	dεdζ	dεdζ	NOUN
ejpam-6890	112	11	+	+	CCONJ
ejpam-6890	112	12	γ	γ	PROPN
ejpam-6890	112	13	×	×	PROPN
ejpam-6890	112	14	1	1	NUM
ejpam-6890	112	15	σ2	σ2	PROPN
ejpam-6890	112	16	∞∫	∞∫	PROPN
ejpam-6890	112	17	0	0	NUM
ejpam-6890	112	18	∞∫	∞∫	PROPN
ejpam-6890	112	19	0	0	NUM
ejpam-6890	113	1	e−	e−	PROPN
ejpam-6890	113	2	ε	ε	PROPN
ejpam-6890	113	3	σ	σ	PROPN
ejpam-6890	113	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	113	5	δ	δ	PROPN
ejpam-6890	113	6	u2(ε	u2(ε	PROPN
ejpam-6890	113	7	,	,	PUNCT
ejpam-6890	113	8	ζ	ζ	NOUN
ejpam-6890	113	9	)	)	PUNCT
ejpam-6890	113	10	dεdζ	dεdζ	NOUN
ejpam-6890	113	11	=	=	SYM
ejpam-6890	113	12	βwεhζ(u1(ε	βwεhζ(u1(ε	PROPN
ejpam-6890	113	13	,	,	PUNCT
ejpam-6890	113	14	ζ	ζ	NOUN
ejpam-6890	113	15	)	)	PUNCT
ejpam-6890	113	16	)	)	PUNCT
ejpam-6890	114	1	+	+	CCONJ
ejpam-6890	114	2	γwεhζ(u2(ε	γwεhζ(u2(ε	PROPN
ejpam-6890	114	3	,	,	PUNCT
ejpam-6890	114	4	ζ	ζ	NOUN
ejpam-6890	114	5	)	)	PUNCT
ejpam-6890	114	6	)	)	PUNCT
ejpam-6890	114	7	.	.	PUNCT
ejpam-6890	115	1	4	4	X
ejpam-6890	115	2	.	.	X
ejpam-6890	115	3	properties	property	NOUN
ejpam-6890	115	4	of	of	ADP
ejpam-6890	115	5	the	the	DET
ejpam-6890	115	6	double	double	ADJ
ejpam-6890	115	7	sawi	sawi	ADJ
ejpam-6890	115	8	-	-	PUNCT
ejpam-6890	115	9	shehu	shehu	NOUN
ejpam-6890	115	10	transform	transform	NOUN
ejpam-6890	115	11	now	now	ADV
ejpam-6890	115	12	,	,	PUNCT
ejpam-6890	115	13	we	we	PRON
ejpam-6890	115	14	present	present	VERB
ejpam-6890	115	15	some	some	DET
ejpam-6890	115	16	basic	basic	ADJ
ejpam-6890	115	17	properties	property	NOUN
ejpam-6890	115	18	of	of	ADP
ejpam-6890	115	19	the	the	DET
ejpam-6890	115	20	dsw	dsw	NOUN
ejpam-6890	115	21	-	-	PUNCT
ejpam-6890	115	22	sht	sht	NOUN
ejpam-6890	115	23	4.1	4.1	NUM
ejpam-6890	115	24	.	.	PUNCT
ejpam-6890	116	1	derivatives	derivative	NOUN
ejpam-6890	116	2	properties	property	NOUN
ejpam-6890	116	3	let	let	VERB
ejpam-6890	116	4	u(σ	u(σ	PROPN
ejpam-6890	116	5	,	,	PUNCT
ejpam-6890	116	6	ϕ	ϕ	PROPN
ejpam-6890	116	7	,	,	PUNCT
ejpam-6890	116	8	δ	δ	PROPN
ejpam-6890	116	9	)	)	PUNCT
ejpam-6890	116	10	=	=	PUNCT
ejpam-6890	117	1	wεhζ(u(ε	wεhζ(u(ε	NOUN
ejpam-6890	117	2	,	,	PUNCT
ejpam-6890	117	3	ζ	ζ	NOUN
ejpam-6890	117	4	)	)	PUNCT
ejpam-6890	117	5	)	)	PUNCT
ejpam-6890	117	6	.	.	PUNCT
ejpam-6890	118	1	then	then	ADV
ejpam-6890	118	2	(	(	PUNCT
ejpam-6890	118	3	i	i	NOUN
ejpam-6890	118	4	)	)	PUNCT
ejpam-6890	118	5	wεhζ	wεhζ	PROPN
ejpam-6890	118	6	(	(	PUNCT
ejpam-6890	118	7	∂u(ε	∂u(ε	PROPN
ejpam-6890	118	8	,	,	PUNCT
ejpam-6890	118	9	ζ	ζ	NOUN
ejpam-6890	118	10	)	)	PUNCT
ejpam-6890	118	11	∂ε	∂ε	PROPN
ejpam-6890	118	12	)	)	PUNCT
ejpam-6890	119	1	=	=	SYM
ejpam-6890	120	1	u(σ	u(σ	PROPN
ejpam-6890	120	2	,	,	PUNCT
ejpam-6890	120	3	ϕ	ϕ	PROPN
ejpam-6890	120	4	,	,	PUNCT
ejpam-6890	120	5	δ	δ	PROPN
ejpam-6890	120	6	)	)	PUNCT
ejpam-6890	120	7	σ	σ	PROPN
ejpam-6890	121	1	−	−	PROPN
ejpam-6890	121	2	h(u(0	h(u(0	PROPN
ejpam-6890	121	3	,	,	PUNCT
ejpam-6890	121	4	ζ	ζ	NOUN
ejpam-6890	121	5	)	)	PUNCT
ejpam-6890	121	6	)	)	PUNCT
ejpam-6890	121	7	σ2	σ2	NOUN
ejpam-6890	121	8	,	,	PUNCT
ejpam-6890	121	9	(	(	PUNCT
ejpam-6890	121	10	12	12	NUM
ejpam-6890	121	11	)	)	PUNCT
ejpam-6890	121	12	(	(	PUNCT
ejpam-6890	121	13	ii	ii	NOUN
ejpam-6890	121	14	)	)	PUNCT
ejpam-6890	121	15	wεhζ	wεhζ	PROPN
ejpam-6890	121	16	(	(	PUNCT
ejpam-6890	121	17	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	121	18	,	,	PUNCT
ejpam-6890	121	19	ζ	ζ	NOUN
ejpam-6890	121	20	)	)	PUNCT
ejpam-6890	121	21	∂ε2	∂ε2	NOUN
ejpam-6890	121	22	)	)	PUNCT
ejpam-6890	122	1	=	=	SYM
ejpam-6890	122	2	u(σ	u(σ	PROPN
ejpam-6890	122	3	,	,	PUNCT
ejpam-6890	122	4	ϕ	ϕ	PROPN
ejpam-6890	122	5	,	,	PUNCT
ejpam-6890	122	6	δ	δ	PROPN
ejpam-6890	122	7	)	)	PUNCT
ejpam-6890	122	8	σ2	σ2	PROPN
ejpam-6890	122	9	−	−	PROPN
ejpam-6890	122	10	h(u(0	h(u(0	PROPN
ejpam-6890	122	11	,	,	PUNCT
ejpam-6890	122	12	ζ	ζ	NOUN
ejpam-6890	122	13	)	)	PUNCT
ejpam-6890	122	14	)	)	PUNCT
ejpam-6890	122	15	σ3	σ3	PROPN
ejpam-6890	122	16	−	−	PROPN
ejpam-6890	122	17	h(uε(0	h(uε(0	PROPN
ejpam-6890	122	18	,	,	PUNCT
ejpam-6890	122	19	ζ	ζ	NOUN
ejpam-6890	122	20	)	)	PUNCT
ejpam-6890	122	21	)	)	PUNCT
ejpam-6890	122	22	σ2	σ2	NOUN
ejpam-6890	122	23	,	,	PUNCT
ejpam-6890	122	24	(	(	PUNCT
ejpam-6890	122	25	13	13	NUM
ejpam-6890	122	26	)	)	PUNCT
ejpam-6890	122	27	(	(	PUNCT
ejpam-6890	122	28	iii	iii	X
ejpam-6890	122	29	)	)	PUNCT
ejpam-6890	122	30	wεhζ	wεhζ	NOUN
ejpam-6890	122	31	(	(	PUNCT
ejpam-6890	122	32	∂u(ε	∂u(ε	PROPN
ejpam-6890	122	33	,	,	PUNCT
ejpam-6890	122	34	ζ	ζ	NOUN
ejpam-6890	122	35	)	)	PUNCT
ejpam-6890	122	36	∂ζ	∂ζ	PROPN
ejpam-6890	122	37	)	)	PUNCT
ejpam-6890	122	38	=	=	PUNCT
ejpam-6890	122	39	ϕ	ϕ	PROPN
ejpam-6890	122	40	δ	δ	PROPN
ejpam-6890	122	41	u(σ	u(σ	PROPN
ejpam-6890	122	42	,	,	PUNCT
ejpam-6890	122	43	ϕ	ϕ	PROPN
ejpam-6890	122	44	,	,	PUNCT
ejpam-6890	122	45	δ)−w	δ)−w	PROPN
ejpam-6890	122	46	(	(	PUNCT
ejpam-6890	122	47	u(ε	u(ε	PROPN
ejpam-6890	122	48	,	,	PUNCT
ejpam-6890	122	49	0	0	NUM
ejpam-6890	122	50	)	)	PUNCT
ejpam-6890	122	51	)	)	PUNCT
ejpam-6890	122	52	,	,	PUNCT
ejpam-6890	122	53	(	(	PUNCT
ejpam-6890	122	54	14	14	NUM
ejpam-6890	122	55	)	)	PUNCT
ejpam-6890	122	56	(	(	PUNCT
ejpam-6890	122	57	iv	iv	X
ejpam-6890	122	58	)	)	PUNCT
ejpam-6890	122	59	wεhζ	wεhζ	NOUN
ejpam-6890	122	60	(	(	PUNCT
ejpam-6890	122	61	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	122	62	,	,	PUNCT
ejpam-6890	122	63	ζ	ζ	NOUN
ejpam-6890	122	64	)	)	PUNCT
ejpam-6890	122	65	∂ζ2	∂ζ2	ADV
ejpam-6890	122	66	)	)	PUNCT
ejpam-6890	122	67	=	=	PUNCT
ejpam-6890	122	68	ϕ2	ϕ2	ADV
ejpam-6890	122	69	δ2	δ2	VERB
ejpam-6890	122	70	u(σ	u(σ	PROPN
ejpam-6890	122	71	,	,	PUNCT
ejpam-6890	122	72	ϕ	ϕ	NOUN
ejpam-6890	122	73	,	,	PUNCT
ejpam-6890	122	74	δ)−	δ)−	PROPN
ejpam-6890	122	75	ϕ	ϕ	PROPN
ejpam-6890	122	76	δ	δ	PROPN
ejpam-6890	122	77	w	w	PROPN
ejpam-6890	122	78	(	(	PUNCT
ejpam-6890	122	79	u(ε	u(ε	PROPN
ejpam-6890	122	80	,	,	PUNCT
ejpam-6890	122	81	0))−w	0))−w	NUM
ejpam-6890	122	82	(	(	PUNCT
ejpam-6890	122	83	uζ(ε	uζ(ε	NOUN
ejpam-6890	122	84	,	,	PUNCT
ejpam-6890	122	85	0	0	NUM
ejpam-6890	122	86	)	)	PUNCT
ejpam-6890	122	87	)	)	PUNCT
ejpam-6890	122	88	,	,	PUNCT
ejpam-6890	122	89	(	(	PUNCT
ejpam-6890	122	90	15	15	X
ejpam-6890	122	91	)	)	PUNCT
ejpam-6890	122	92	m.	m.	NOUN
ejpam-6890	122	93	al	al	PROPN
ejpam-6890	122	94	-	-	PUNCT
ejpam-6890	122	95	momani	momani	X
ejpam-6890	122	96	et	et	PROPN
ejpam-6890	122	97	al	al	PROPN
ejpam-6890	122	98	.	.	PUNCT
ejpam-6890	122	99	/	/	SYM
ejpam-6890	122	100	eur	eur	PROPN
ejpam-6890	122	101	.	.	PUNCT
ejpam-6890	123	1	j.	j.	PROPN
ejpam-6890	123	2	pure	pure	PROPN
ejpam-6890	123	3	appl	appl	PROPN
ejpam-6890	123	4	.	.	PROPN
ejpam-6890	123	5	math	math	PROPN
ejpam-6890	123	6	,	,	PUNCT
ejpam-6890	123	7	18	18	NUM
ejpam-6890	123	8	(	(	PUNCT
ejpam-6890	123	9	4	4	NUM
ejpam-6890	123	10	)	)	PUNCT
ejpam-6890	123	11	(	(	PUNCT
ejpam-6890	123	12	2025	2025	NUM
ejpam-6890	123	13	)	)	PUNCT
ejpam-6890	123	14	,	,	PUNCT
ejpam-6890	123	15	6890	6890	NUM
ejpam-6890	123	16	6	6	NUM
ejpam-6890	123	17	of	of	ADP
ejpam-6890	123	18	15	15	NUM
ejpam-6890	123	19	(	(	PUNCT
ejpam-6890	123	20	v	v	NOUN
ejpam-6890	123	21	)	)	PUNCT
ejpam-6890	123	22	wεhζ	wεhζ	NOUN
ejpam-6890	123	23	(	(	PUNCT
ejpam-6890	123	24	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	123	25	,	,	PUNCT
ejpam-6890	123	26	ζ	ζ	NOUN
ejpam-6890	123	27	)	)	PUNCT
ejpam-6890	123	28	∂ε∂ζ	∂ε∂ζ	NOUN
ejpam-6890	123	29	)	)	PUNCT
ejpam-6890	124	1	=	=	PUNCT
ejpam-6890	124	2	ϕ	ϕ	NOUN
ejpam-6890	124	3	σδ	σδ	ADP
ejpam-6890	124	4	u(σ	u(σ	PROPN
ejpam-6890	124	5	,	,	PUNCT
ejpam-6890	124	6	ϕ	ϕ	NOUN
ejpam-6890	124	7	,	,	PUNCT
ejpam-6890	124	8	δ)−	δ)−	PROPN
ejpam-6890	124	9	1	1	NUM
ejpam-6890	124	10	σ	σ	PROPN
ejpam-6890	124	11	w	w	PROPN
ejpam-6890	124	12	(	(	PUNCT
ejpam-6890	124	13	u(ε	u(ε	PROPN
ejpam-6890	124	14	,	,	PUNCT
ejpam-6890	124	15	0))−	0))−	PUNCT
ejpam-6890	125	1	ϕ	ϕ	PROPN
ejpam-6890	125	2	σ2δ	σ2δ	PROPN
ejpam-6890	125	3	h(u(0	h(u(0	PROPN
ejpam-6890	125	4	,	,	PUNCT
ejpam-6890	125	5	ζ))+	ζ))+	PROPN
ejpam-6890	125	6	1	1	NUM
ejpam-6890	125	7	σ2	σ2	PROPN
ejpam-6890	125	8	u(0	u(0	PROPN
ejpam-6890	125	9	,	,	PUNCT
ejpam-6890	125	10	0	0	NUM
ejpam-6890	125	11	)	)	PUNCT
ejpam-6890	125	12	.	.	PUNCT
ejpam-6890	126	1	(	(	PUNCT
ejpam-6890	126	2	16	16	X
ejpam-6890	126	3	)	)	PUNCT
ejpam-6890	126	4	proof	proof	NOUN
ejpam-6890	126	5	.	.	PUNCT
ejpam-6890	127	1	(	(	PUNCT
ejpam-6890	127	2	1	1	X
ejpam-6890	127	3	)	)	PUNCT
ejpam-6890	127	4	wεhζ	wεhζ	NOUN
ejpam-6890	127	5	(	(	PUNCT
ejpam-6890	127	6	∂u(ε	∂u(ε	PROPN
ejpam-6890	127	7	,	,	PUNCT
ejpam-6890	127	8	ζ	ζ	NOUN
ejpam-6890	127	9	)	)	PUNCT
ejpam-6890	127	10	∂ε	∂ε	PROPN
ejpam-6890	127	11	)	)	PUNCT
ejpam-6890	128	1	=	=	SYM
ejpam-6890	128	2	1	1	NUM
ejpam-6890	128	3	σ2	σ2	PROPN
ejpam-6890	128	4	∞∫	∞∫	PROPN
ejpam-6890	128	5	0	0	NUM
ejpam-6890	128	6	∞∫	∞∫	PROPN
ejpam-6890	128	7	0	0	NUM
ejpam-6890	129	1	e−	e−	PROPN
ejpam-6890	129	2	ε	ε	PROPN
ejpam-6890	129	3	σ	σ	PROPN
ejpam-6890	129	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	129	5	δ	δ	PROPN
ejpam-6890	129	6	∂u(ε	∂u(ε	PROPN
ejpam-6890	129	7	,	,	PUNCT
ejpam-6890	129	8	ζ	ζ	NOUN
ejpam-6890	129	9	)	)	PUNCT
ejpam-6890	129	10	∂ε	∂ε	PROPN
ejpam-6890	129	11	dεdζ	dεdζ	NOUN
ejpam-6890	129	12	=	=	SYM
ejpam-6890	129	13	1	1	NUM
ejpam-6890	129	14	σ2	σ2	PROPN
ejpam-6890	129	15	∞∫	∞∫	PROPN
ejpam-6890	129	16	0	0	PUNCT
ejpam-6890	130	1	e−	e−	PROPN
ejpam-6890	130	2	ϕζ	ϕζ	NOUN
ejpam-6890	130	3	δ	δ	PROPN
ejpam-6890	130	4	∞∫	∞∫	PROPN
ejpam-6890	130	5	0	0	NUM
ejpam-6890	131	1	e−	e−	PROPN
ejpam-6890	131	2	ε	ε	PROPN
ejpam-6890	131	3	σ	σ	PROPN
ejpam-6890	131	4	∂u(ε	∂u(ε	PROPN
ejpam-6890	131	5	,	,	PUNCT
ejpam-6890	131	6	ζ	ζ	NOUN
ejpam-6890	131	7	)	)	PUNCT
ejpam-6890	131	8	∂ε	∂ε	PROPN
ejpam-6890	131	9	dεdζ	dεdζ	NOUN
ejpam-6890	131	10	.	.	PUNCT
ejpam-6890	132	1	by	by	ADP
ejpam-6890	132	2	integrating	integrate	VERB
ejpam-6890	132	3	by	by	ADP
ejpam-6890	132	4	parts	part	NOUN
ejpam-6890	132	5	,	,	PUNCT
ejpam-6890	132	6	we	we	PRON
ejpam-6890	132	7	get	get	VERB
ejpam-6890	132	8	wεhζ	wεhζ	ADJ
ejpam-6890	132	9	(	(	PUNCT
ejpam-6890	132	10	∂u(ε	∂u(ε	PROPN
ejpam-6890	132	11	,	,	PUNCT
ejpam-6890	132	12	ζ	ζ	NOUN
ejpam-6890	132	13	)	)	PUNCT
ejpam-6890	132	14	∂ε	∂ε	PROPN
ejpam-6890	132	15	)	)	PUNCT
ejpam-6890	133	1	=	=	SYM
ejpam-6890	133	2	1	1	NUM
ejpam-6890	133	3	σ2	σ2	PROPN
ejpam-6890	133	4	∞∫	∞∫	PROPN
ejpam-6890	133	5	0	0	PUNCT
ejpam-6890	134	1	e−	e−	PROPN
ejpam-6890	134	2	ϕζ	ϕζ	NOUN
ejpam-6890	134	3	δ	δ	PROPN
ejpam-6890	134	4	(	(	PUNCT
ejpam-6890	134	5	−u(0	−u(0	PROPN
ejpam-6890	134	6	,	,	PUNCT
ejpam-6890	134	7	ζ	ζ	NOUN
ejpam-6890	134	8	)	)	PUNCT
ejpam-6890	134	9	+	+	CCONJ
ejpam-6890	134	10	1	1	NUM
ejpam-6890	134	11	σ	σ	PROPN
ejpam-6890	134	12	∞∫	∞∫	PROPN
ejpam-6890	134	13	0	0	NUM
ejpam-6890	135	1	e−	e−	PROPN
ejpam-6890	135	2	ε	ε	PROPN
ejpam-6890	135	3	σ	σ	PROPN
ejpam-6890	135	4	u(ε	u(ε	PROPN
ejpam-6890	135	5	,	,	PUNCT
ejpam-6890	135	6	ζ	ζ	NOUN
ejpam-6890	135	7	)	)	PUNCT
ejpam-6890	135	8	dε	dε	NOUN
ejpam-6890	135	9	)	)	PUNCT
ejpam-6890	135	10	dζ	dζ	PROPN
ejpam-6890	135	11	=	=	SYM
ejpam-6890	135	12	−	−	PROPN
ejpam-6890	135	13	1	1	NUM
ejpam-6890	135	14	σ2	σ2	PROPN
ejpam-6890	135	15	∞∫	∞∫	PROPN
ejpam-6890	135	16	0	0	PUNCT
ejpam-6890	136	1	e−	e−	PROPN
ejpam-6890	136	2	ϕζ	ϕζ	NOUN
ejpam-6890	136	3	δ	δ	PROPN
ejpam-6890	136	4	u(0	u(0	PROPN
ejpam-6890	136	5	,	,	PUNCT
ejpam-6890	136	6	ζ)dζ	ζ)dζ	PROPN
ejpam-6890	136	7	+	+	CCONJ
ejpam-6890	136	8	1	1	NUM
ejpam-6890	136	9	σ2	σ2	PROPN
ejpam-6890	136	10	×	×	NOUN
ejpam-6890	136	11	1	1	NUM
ejpam-6890	136	12	σ	σ	PROPN
ejpam-6890	136	13	∞∫	∞∫	PROPN
ejpam-6890	136	14	0	0	NUM
ejpam-6890	136	15	∞∫	∞∫	PROPN
ejpam-6890	136	16	0	0	NUM
ejpam-6890	137	1	e−	e−	PROPN
ejpam-6890	137	2	ε	ε	PROPN
ejpam-6890	137	3	σ	σ	PROPN
ejpam-6890	137	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	137	5	δ	δ	PROPN
ejpam-6890	137	6	u(ε	u(ε	PROPN
ejpam-6890	137	7	,	,	PUNCT
ejpam-6890	137	8	ζ	ζ	NOUN
ejpam-6890	137	9	)	)	PUNCT
ejpam-6890	137	10	dεdζ	dεdζ	NOUN
ejpam-6890	137	11	=	=	SYM
ejpam-6890	137	12	u(σ,ϕ,δ	u(σ,ϕ,δ	X
ejpam-6890	137	13	)	)	PUNCT
ejpam-6890	138	1	σ	σ	PROPN
ejpam-6890	138	2	−	−	PROPN
ejpam-6890	138	3	h(u(0,ζ	h(u(0,ζ	NOUN
ejpam-6890	138	4	)	)	PUNCT
ejpam-6890	138	5	)	)	PUNCT
ejpam-6890	139	1	σ2	σ2	NOUN
ejpam-6890	139	2	.	.	PUNCT
ejpam-6890	140	1	(	(	PUNCT
ejpam-6890	140	2	2	2	X
ejpam-6890	140	3	)	)	PUNCT
ejpam-6890	140	4	wεhζ	wεhζ	NOUN
ejpam-6890	140	5	(	(	PUNCT
ejpam-6890	140	6	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	140	7	,	,	PUNCT
ejpam-6890	140	8	ζ	ζ	NOUN
ejpam-6890	140	9	)	)	PUNCT
ejpam-6890	140	10	∂ε2	∂ε2	X
ejpam-6890	140	11	)	)	PUNCT
ejpam-6890	141	1	=	=	SYM
ejpam-6890	141	2	1	1	NUM
ejpam-6890	141	3	σ2	σ2	PROPN
ejpam-6890	141	4	∞∫	∞∫	PROPN
ejpam-6890	141	5	0	0	NUM
ejpam-6890	142	1	∞∫	∞∫	PROPN
ejpam-6890	142	2	0	0	NUM
ejpam-6890	143	1	e−	e−	PROPN
ejpam-6890	143	2	ε	ε	PROPN
ejpam-6890	143	3	σ	σ	PROPN
ejpam-6890	143	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	143	5	δ	δ	PROPN
ejpam-6890	143	6	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	143	7	,	,	PUNCT
ejpam-6890	143	8	ζ	ζ	NOUN
ejpam-6890	143	9	)	)	PUNCT
ejpam-6890	143	10	∂ε2	∂ε2	ADJ
ejpam-6890	143	11	dεdζ	dεdζ	NOUN
ejpam-6890	143	12	=	=	SYM
ejpam-6890	143	13	1	1	NUM
ejpam-6890	143	14	σ2	σ2	PROPN
ejpam-6890	143	15	∞∫	∞∫	PROPN
ejpam-6890	143	16	0	0	PUNCT
ejpam-6890	144	1	e−	e−	PROPN
ejpam-6890	144	2	ϕζ	ϕζ	NOUN
ejpam-6890	144	3	δ	δ	PROPN
ejpam-6890	144	4	∞∫	∞∫	PROPN
ejpam-6890	144	5	0	0	NUM
ejpam-6890	145	1	e−	e−	PROPN
ejpam-6890	145	2	ε	ε	PROPN
ejpam-6890	145	3	σ	σ	PROPN
ejpam-6890	145	4	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	145	5	,	,	PUNCT
ejpam-6890	145	6	ζ	ζ	NOUN
ejpam-6890	145	7	)	)	PUNCT
ejpam-6890	145	8	∂ε2	∂ε2	ADJ
ejpam-6890	145	9	dεdζ	dεdζ	NOUN
ejpam-6890	145	10	.	.	PUNCT
ejpam-6890	146	1	by	by	ADP
ejpam-6890	146	2	integrating	integrate	VERB
ejpam-6890	146	3	by	by	ADP
ejpam-6890	146	4	parts	part	NOUN
ejpam-6890	146	5	,	,	PUNCT
ejpam-6890	146	6	we	we	PRON
ejpam-6890	146	7	get	get	VERB
ejpam-6890	146	8	wεhζ	wεhζ	ADJ
ejpam-6890	146	9	(	(	PUNCT
ejpam-6890	146	10	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	146	11	,	,	PUNCT
ejpam-6890	146	12	ζ	ζ	NOUN
ejpam-6890	146	13	)	)	PUNCT
ejpam-6890	146	14	∂ε2	∂ε2	X
ejpam-6890	146	15	)	)	PUNCT
ejpam-6890	147	1	=	=	SYM
ejpam-6890	147	2	1	1	NUM
ejpam-6890	147	3	σ2	σ2	PROPN
ejpam-6890	147	4	∞∫	∞∫	PROPN
ejpam-6890	147	5	0	0	PUNCT
ejpam-6890	148	1	e−	e−	PROPN
ejpam-6890	148	2	ϕζ	ϕζ	NOUN
ejpam-6890	148	3	δ	δ	PROPN
ejpam-6890	148	4	(	(	PUNCT
ejpam-6890	148	5	−uε(0	−uε(0	PROPN
ejpam-6890	148	6	,	,	PUNCT
ejpam-6890	148	7	ζ)−	ζ)−	PROPN
ejpam-6890	148	8	1	1	NUM
ejpam-6890	148	9	σu(0	σu(0	PROPN
ejpam-6890	148	10	,	,	PUNCT
ejpam-6890	148	11	ζ	ζ	NOUN
ejpam-6890	148	12	)	)	PUNCT
ejpam-6890	148	13	+	+	CCONJ
ejpam-6890	148	14	1	1	NUM
ejpam-6890	148	15	σ2	σ2	PROPN
ejpam-6890	148	16	∞∫	∞∫	PROPN
ejpam-6890	148	17	0	0	NUM
ejpam-6890	149	1	e−	e−	PROPN
ejpam-6890	149	2	ε	ε	PROPN
ejpam-6890	149	3	σ	σ	PROPN
ejpam-6890	149	4	u(ε	u(ε	PROPN
ejpam-6890	149	5	,	,	PUNCT
ejpam-6890	149	6	ζ)dε	ζ)dε	PROPN
ejpam-6890	149	7	)	)	PUNCT
ejpam-6890	149	8	dζ	dζ	PROPN
ejpam-6890	149	9	=	=	SYM
ejpam-6890	149	10	−	−	PROPN
ejpam-6890	149	11	1	1	NUM
ejpam-6890	149	12	σ2	σ2	PROPN
ejpam-6890	149	13	∞∫	∞∫	PROPN
ejpam-6890	149	14	0	0	PUNCT
ejpam-6890	150	1	e−	e−	PROPN
ejpam-6890	150	2	ϕζ	ϕζ	NOUN
ejpam-6890	150	3	δ	δ	PROPN
ejpam-6890	150	4	uε(0	uε(0	PROPN
ejpam-6890	150	5	,	,	PUNCT
ejpam-6890	150	6	ζ)dζ	ζ)dζ	PROPN
ejpam-6890	150	7	−	−	PROPN
ejpam-6890	150	8	1	1	NUM
ejpam-6890	150	9	σ3	σ3	PROPN
ejpam-6890	150	10	∞∫	∞∫	PROPN
ejpam-6890	150	11	0	0	NUM
ejpam-6890	151	1	e−	e−	PROPN
ejpam-6890	151	2	ϕζ	ϕζ	NOUN
ejpam-6890	151	3	δ	δ	PROPN
ejpam-6890	151	4	u(0	u(0	PROPN
ejpam-6890	151	5	,	,	PUNCT
ejpam-6890	151	6	ζ)dζ	ζ)dζ	PROPN
ejpam-6890	151	7	+	+	CCONJ
ejpam-6890	151	8	1	1	NUM
ejpam-6890	151	9	σ2	σ2	PROPN
ejpam-6890	151	10	×	×	NOUN
ejpam-6890	151	11	1	1	NUM
ejpam-6890	151	12	σ2	σ2	PROPN
ejpam-6890	151	13	∞∫	∞∫	PROPN
ejpam-6890	151	14	0	0	NUM
ejpam-6890	151	15	∞∫	∞∫	PROPN
ejpam-6890	151	16	0	0	NUM
ejpam-6890	152	1	e−	e−	PROPN
ejpam-6890	152	2	ε	ε	PROPN
ejpam-6890	152	3	σ	σ	PROPN
ejpam-6890	152	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	152	5	δ	δ	PROPN
ejpam-6890	152	6	u(ε	u(ε	PROPN
ejpam-6890	152	7	,	,	PUNCT
ejpam-6890	152	8	ζ)dεdζ	ζ)dεdζ	NOUN
ejpam-6890	152	9	=	=	SYM
ejpam-6890	152	10	u(σ,ϕ,δ	u(σ,ϕ,δ	PROPN
ejpam-6890	152	11	)	)	PUNCT
ejpam-6890	152	12	σ2	σ2	PROPN
ejpam-6890	152	13	−	−	PROPN
ejpam-6890	152	14	h(u(0,ζ	h(u(0,ζ	PROPN
ejpam-6890	152	15	)	)	PUNCT
ejpam-6890	152	16	)	)	PUNCT
ejpam-6890	153	1	σ3	σ3	PROPN
ejpam-6890	153	2	−	−	PROPN
ejpam-6890	153	3	h(uε(0,ζ	h(uε(0,ζ	NOUN
ejpam-6890	153	4	)	)	PUNCT
ejpam-6890	153	5	)	)	PUNCT
ejpam-6890	153	6	σ2	σ2	NOUN
ejpam-6890	153	7	.	.	PUNCT
ejpam-6890	154	1	(	(	PUNCT
ejpam-6890	154	2	3	3	X
ejpam-6890	154	3	)	)	PUNCT
ejpam-6890	154	4	wεhζ	wεhζ	NOUN
ejpam-6890	154	5	(	(	PUNCT
ejpam-6890	154	6	∂u(ε	∂u(ε	PROPN
ejpam-6890	154	7	,	,	PUNCT
ejpam-6890	154	8	ζ	ζ	NOUN
ejpam-6890	154	9	)	)	PUNCT
ejpam-6890	154	10	∂ζ	∂ζ	PROPN
ejpam-6890	154	11	)	)	PUNCT
ejpam-6890	155	1	=	=	SYM
ejpam-6890	155	2	1	1	NUM
ejpam-6890	155	3	σ2	σ2	PROPN
ejpam-6890	155	4	∞∫	∞∫	PROPN
ejpam-6890	155	5	0	0	NUM
ejpam-6890	156	1	∞∫	∞∫	PROPN
ejpam-6890	156	2	0	0	NUM
ejpam-6890	157	1	e−	e−	PROPN
ejpam-6890	157	2	ε	ε	PROPN
ejpam-6890	157	3	σ	σ	PROPN
ejpam-6890	157	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	157	5	δ	δ	PROPN
ejpam-6890	157	6	∂u(ε	∂u(ε	PROPN
ejpam-6890	157	7	,	,	PUNCT
ejpam-6890	157	8	ζ	ζ	NOUN
ejpam-6890	157	9	)	)	PUNCT
ejpam-6890	157	10	∂ζ	∂ζ	PROPN
ejpam-6890	157	11	dεdζ	dεdζ	NOUN
ejpam-6890	157	12	=	=	SYM
ejpam-6890	157	13	1	1	NUM
ejpam-6890	157	14	σ2	σ2	PROPN
ejpam-6890	157	15	∞∫	∞∫	PROPN
ejpam-6890	157	16	0	0	NUM
ejpam-6890	158	1	e−	e−	PROPN
ejpam-6890	158	2	ε	ε	PROPN
ejpam-6890	158	3	σ	σ	PROPN
ejpam-6890	158	4	∞∫	∞∫	PROPN
ejpam-6890	158	5	0	0	PUNCT
ejpam-6890	159	1	e−	e−	PROPN
ejpam-6890	159	2	ϕζ	ϕζ	NOUN
ejpam-6890	159	3	δ	δ	PROPN
ejpam-6890	159	4	∂u(ε	∂u(ε	PROPN
ejpam-6890	159	5	,	,	PUNCT
ejpam-6890	159	6	ζ	ζ	NOUN
ejpam-6890	159	7	)	)	PUNCT
ejpam-6890	159	8	∂ζ	∂ζ	NOUN
ejpam-6890	159	9	dζdε	dζdε	PROPN
ejpam-6890	159	10	.	.	PUNCT
ejpam-6890	160	1	by	by	ADP
ejpam-6890	160	2	integrating	integrate	VERB
ejpam-6890	160	3	by	by	ADP
ejpam-6890	160	4	parts	part	NOUN
ejpam-6890	160	5	,	,	PUNCT
ejpam-6890	160	6	we	we	PRON
ejpam-6890	160	7	get	get	VERB
ejpam-6890	160	8	wεhζ	wεhζ	ADJ
ejpam-6890	160	9	(	(	PUNCT
ejpam-6890	160	10	∂u(ε	∂u(ε	PROPN
ejpam-6890	160	11	,	,	PUNCT
ejpam-6890	160	12	ζ	ζ	NOUN
ejpam-6890	160	13	)	)	PUNCT
ejpam-6890	160	14	∂ζ	∂ζ	PROPN
ejpam-6890	160	15	)	)	PUNCT
ejpam-6890	161	1	=	=	SYM
ejpam-6890	161	2	1	1	NUM
ejpam-6890	161	3	σ2	σ2	PROPN
ejpam-6890	161	4	∞∫	∞∫	PROPN
ejpam-6890	161	5	0	0	NUM
ejpam-6890	162	1	e−	e−	PROPN
ejpam-6890	162	2	ε	ε	PROPN
ejpam-6890	162	3	σ	σ	PROPN
ejpam-6890	162	4	(	(	PUNCT
ejpam-6890	162	5	−u(ε	−u(ε	NOUN
ejpam-6890	162	6	,	,	PUNCT
ejpam-6890	162	7	0	0	NUM
ejpam-6890	162	8	)	)	PUNCT
ejpam-6890	162	9	+	+	CCONJ
ejpam-6890	162	10	ϕ	ϕ	PROPN
ejpam-6890	162	11	δ	δ	PROPN
ejpam-6890	162	12	∞∫	∞∫	PROPN
ejpam-6890	162	13	0	0	NUM
ejpam-6890	163	1	e−	e−	PROPN
ejpam-6890	163	2	ϕζ	ϕζ	NOUN
ejpam-6890	163	3	δ	δ	PROPN
ejpam-6890	163	4	u(ε	u(ε	PROPN
ejpam-6890	163	5	,	,	PUNCT
ejpam-6890	163	6	ζ)dζ	ζ)dζ	PROPN
ejpam-6890	163	7	)	)	PUNCT
ejpam-6890	163	8	dε	dε	PROPN
ejpam-6890	163	9	=	=	SYM
ejpam-6890	163	10	−	−	PROPN
ejpam-6890	163	11	1	1	NUM
ejpam-6890	163	12	σ2	σ2	PROPN
ejpam-6890	163	13	∞∫	∞∫	PROPN
ejpam-6890	163	14	0	0	NUM
ejpam-6890	164	1	e−	e−	PROPN
ejpam-6890	164	2	ε	ε	PROPN
ejpam-6890	164	3	σ	σ	PROPN
ejpam-6890	164	4	u(ε	u(ε	PROPN
ejpam-6890	164	5	,	,	PUNCT
ejpam-6890	164	6	0)dε+	0)dε+	PROPN
ejpam-6890	164	7	ϕ	ϕ	PROPN
ejpam-6890	164	8	δ	δ	PROPN
ejpam-6890	164	9	×	×	NOUN
ejpam-6890	164	10	1	1	NUM
ejpam-6890	164	11	σ2	σ2	PROPN
ejpam-6890	164	12	∞∫	∞∫	PROPN
ejpam-6890	164	13	0	0	NUM
ejpam-6890	164	14	∞∫	∞∫	PROPN
ejpam-6890	164	15	0	0	NUM
ejpam-6890	165	1	e−	e−	PROPN
ejpam-6890	165	2	ε	ε	PROPN
ejpam-6890	165	3	σ	σ	PROPN
ejpam-6890	165	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	165	5	δ	δ	PROPN
ejpam-6890	165	6	u(ε	u(ε	PROPN
ejpam-6890	165	7	,	,	PUNCT
ejpam-6890	165	8	ζ	ζ	NOUN
ejpam-6890	165	9	)	)	PUNCT
ejpam-6890	165	10	dζdε	dζdε	NOUN
ejpam-6890	165	11	=	=	PROPN
ejpam-6890	165	12	ϕ	ϕ	PROPN
ejpam-6890	165	13	δu(σ	δu(σ	PROPN
ejpam-6890	165	14	,	,	PUNCT
ejpam-6890	165	15	ϕ	ϕ	NOUN
ejpam-6890	165	16	,	,	PUNCT
ejpam-6890	165	17	δ)−w	δ)−w	PROPN
ejpam-6890	165	18	(	(	PUNCT
ejpam-6890	165	19	u(ε	u(ε	PROPN
ejpam-6890	165	20	,	,	PUNCT
ejpam-6890	165	21	0	0	NUM
ejpam-6890	165	22	)	)	PUNCT
ejpam-6890	165	23	)	)	PUNCT
ejpam-6890	165	24	.	.	PUNCT
ejpam-6890	166	1	(	(	PUNCT
ejpam-6890	166	2	4	4	X
ejpam-6890	166	3	)	)	PUNCT
ejpam-6890	166	4	wεhζ	wεhζ	NOUN
ejpam-6890	166	5	(	(	PUNCT
ejpam-6890	166	6	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	166	7	,	,	PUNCT
ejpam-6890	166	8	ζ	ζ	NOUN
ejpam-6890	166	9	)	)	PUNCT
ejpam-6890	166	10	∂ζ2	∂ζ2	ADV
ejpam-6890	166	11	)	)	PUNCT
ejpam-6890	166	12	=	=	SYM
ejpam-6890	166	13	1	1	NUM
ejpam-6890	166	14	σ2	σ2	PROPN
ejpam-6890	166	15	∞∫	∞∫	PROPN
ejpam-6890	166	16	0	0	NUM
ejpam-6890	167	1	∞∫	∞∫	PROPN
ejpam-6890	167	2	0	0	NUM
ejpam-6890	168	1	e−	e−	PROPN
ejpam-6890	168	2	ε	ε	PROPN
ejpam-6890	168	3	σ	σ	PROPN
ejpam-6890	168	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	168	5	δ	δ	PROPN
ejpam-6890	168	6	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	168	7	,	,	PUNCT
ejpam-6890	168	8	ζ	ζ	NOUN
ejpam-6890	168	9	)	)	PUNCT
ejpam-6890	168	10	∂ζ2	∂ζ2	ADV
ejpam-6890	168	11	dεdζ	dεdζ	NOUN
ejpam-6890	168	12	=	=	SYM
ejpam-6890	168	13	1	1	NUM
ejpam-6890	168	14	σ2	σ2	PROPN
ejpam-6890	168	15	∞∫	∞∫	PROPN
ejpam-6890	168	16	0	0	NUM
ejpam-6890	169	1	e−	e−	PROPN
ejpam-6890	169	2	ε	ε	PROPN
ejpam-6890	169	3	σ	σ	PROPN
ejpam-6890	169	4	∞∫	∞∫	PROPN
ejpam-6890	169	5	0	0	PUNCT
ejpam-6890	170	1	e−	e−	PROPN
ejpam-6890	170	2	ϕζ	ϕζ	NOUN
ejpam-6890	170	3	δ	δ	PROPN
ejpam-6890	170	4	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	170	5	,	,	PUNCT
ejpam-6890	170	6	ζ	ζ	NOUN
ejpam-6890	170	7	)	)	PUNCT
ejpam-6890	170	8	∂ζ2	∂ζ2	ADV
ejpam-6890	170	9	dζdε	dζdε	NOUN
ejpam-6890	170	10	.	.	PUNCT
ejpam-6890	171	1	by	by	ADP
ejpam-6890	171	2	integrating	integrate	VERB
ejpam-6890	171	3	by	by	ADP
ejpam-6890	171	4	parts	part	NOUN
ejpam-6890	171	5	,	,	PUNCT
ejpam-6890	171	6	we	we	PRON
ejpam-6890	171	7	get	get	VERB
ejpam-6890	171	8	m.	m.	NOUN
ejpam-6890	171	9	al	al	PROPN
ejpam-6890	171	10	-	-	PUNCT
ejpam-6890	171	11	momani	momani	X
ejpam-6890	171	12	et	et	PROPN
ejpam-6890	171	13	al	al	PROPN
ejpam-6890	171	14	.	.	PUNCT
ejpam-6890	171	15	/	/	SYM
ejpam-6890	171	16	eur	eur	PROPN
ejpam-6890	171	17	.	.	PUNCT
ejpam-6890	172	1	j.	j.	PROPN
ejpam-6890	172	2	pure	pure	PROPN
ejpam-6890	172	3	appl	appl	PROPN
ejpam-6890	172	4	.	.	PROPN
ejpam-6890	172	5	math	math	PROPN
ejpam-6890	172	6	,	,	PUNCT
ejpam-6890	172	7	18	18	NUM
ejpam-6890	172	8	(	(	PUNCT
ejpam-6890	172	9	4	4	NUM
ejpam-6890	172	10	)	)	PUNCT
ejpam-6890	172	11	(	(	PUNCT
ejpam-6890	172	12	2025	2025	NUM
ejpam-6890	172	13	)	)	PUNCT
ejpam-6890	172	14	,	,	PUNCT
ejpam-6890	172	15	6890	6890	NUM
ejpam-6890	172	16	7	7	NUM
ejpam-6890	172	17	of	of	ADP
ejpam-6890	172	18	15	15	NUM
ejpam-6890	172	19	wεhζ	wεhζ	X
ejpam-6890	172	20	(	(	PUNCT
ejpam-6890	172	21	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	172	22	,	,	PUNCT
ejpam-6890	172	23	ζ	ζ	NOUN
ejpam-6890	172	24	)	)	PUNCT
ejpam-6890	172	25	∂ζ2	∂ζ2	ADV
ejpam-6890	172	26	)	)	PUNCT
ejpam-6890	172	27	=	=	SYM
ejpam-6890	172	28	1	1	NUM
ejpam-6890	172	29	σ2	σ2	PROPN
ejpam-6890	172	30	∞∫	∞∫	PROPN
ejpam-6890	172	31	0	0	NUM
ejpam-6890	173	1	e−	e−	PROPN
ejpam-6890	173	2	ε	ε	PROPN
ejpam-6890	173	3	σ	σ	PROPN
ejpam-6890	173	4	(	(	PUNCT
ejpam-6890	173	5	−uζ(ε	−uζ(ε	PROPN
ejpam-6890	173	6	,	,	PUNCT
ejpam-6890	173	7	0)−	0)−	PUNCT
ejpam-6890	173	8	ϕ	ϕ	PROPN
ejpam-6890	173	9	δ	δ	PROPN
ejpam-6890	173	10	u(ε	u(ε	PROPN
ejpam-6890	173	11	,	,	PUNCT
ejpam-6890	173	12	0	0	NUM
ejpam-6890	173	13	)	)	PUNCT
ejpam-6890	173	14	+	+	CCONJ
ejpam-6890	173	15	ϕ2	ϕ2	ADV
ejpam-6890	173	16	δ2	δ2	VERB
ejpam-6890	173	17	∞∫	∞∫	NOUN
ejpam-6890	173	18	0	0	NUM
ejpam-6890	174	1	e−	e−	PROPN
ejpam-6890	174	2	ϕζ	ϕζ	NOUN
ejpam-6890	174	3	δ	δ	PROPN
ejpam-6890	174	4	u(ε	u(ε	PROPN
ejpam-6890	174	5	,	,	PUNCT
ejpam-6890	174	6	ζ)dζ	ζ)dζ	PROPN
ejpam-6890	174	7	)	)	PUNCT
ejpam-6890	174	8	dε	dε	PROPN
ejpam-6890	174	9	=	=	SYM
ejpam-6890	174	10	−	−	PROPN
ejpam-6890	174	11	1	1	NUM
ejpam-6890	174	12	σ2	σ2	PROPN
ejpam-6890	174	13	∞∫	∞∫	PROPN
ejpam-6890	174	14	0	0	NUM
ejpam-6890	175	1	e−	e−	PROPN
ejpam-6890	175	2	ε	ε	PROPN
ejpam-6890	175	3	σ	σ	PROPN
ejpam-6890	175	4	uζ(ε	uζ(ε	PROPN
ejpam-6890	175	5	,	,	PUNCT
ejpam-6890	175	6	0)dε−	0)dε−	NUM
ejpam-6890	175	7	ϕ	ϕ	PROPN
ejpam-6890	175	8	δ	δ	PROPN
ejpam-6890	175	9	×	×	NOUN
ejpam-6890	175	10	1	1	NUM
ejpam-6890	175	11	σ2	σ2	PROPN
ejpam-6890	175	12	∞∫	∞∫	PROPN
ejpam-6890	175	13	0	0	NUM
ejpam-6890	176	1	e−	e−	PROPN
ejpam-6890	176	2	ε	ε	PROPN
ejpam-6890	176	3	σ	σ	PROPN
ejpam-6890	176	4	u(ε	u(ε	PROPN
ejpam-6890	176	5	,	,	PUNCT
ejpam-6890	176	6	0)dε+	0)dε+	NOUN
ejpam-6890	176	7	ϕ2	ϕ2	ADV
ejpam-6890	176	8	δ2	δ2	VERB
ejpam-6890	176	9	×	×	NOUN
ejpam-6890	176	10	1	1	NUM
ejpam-6890	176	11	σ2	σ2	PROPN
ejpam-6890	176	12	∞∫	∞∫	PROPN
ejpam-6890	176	13	0	0	NUM
ejpam-6890	176	14	∞∫	∞∫	PROPN
ejpam-6890	176	15	0	0	NUM
ejpam-6890	177	1	e−	e−	PROPN
ejpam-6890	177	2	ε	ε	PROPN
ejpam-6890	177	3	σ	σ	PROPN
ejpam-6890	177	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	177	5	δ	δ	PROPN
ejpam-6890	177	6	u(ε	u(ε	PROPN
ejpam-6890	177	7	,	,	PUNCT
ejpam-6890	177	8	ζ)dζdε	ζ)dζdε	PROPN
ejpam-6890	177	9	so	so	ADV
ejpam-6890	177	10	,	,	PUNCT
ejpam-6890	177	11	wεhζ	wεhζ	X
ejpam-6890	177	12	(	(	PUNCT
ejpam-6890	177	13	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	177	14	,	,	PUNCT
ejpam-6890	177	15	ζ	ζ	NOUN
ejpam-6890	177	16	)	)	PUNCT
ejpam-6890	177	17	∂ζ2	∂ζ2	ADV
ejpam-6890	177	18	)	)	PUNCT
ejpam-6890	178	1	=	=	PUNCT
ejpam-6890	178	2	ϕ2	ϕ2	ADV
ejpam-6890	178	3	δ2	δ2	VERB
ejpam-6890	178	4	u(σ	u(σ	PROPN
ejpam-6890	178	5	,	,	PUNCT
ejpam-6890	178	6	ϕ	ϕ	NOUN
ejpam-6890	178	7	,	,	PUNCT
ejpam-6890	178	8	δ)−	δ)−	PROPN
ejpam-6890	178	9	ϕ	ϕ	X
ejpam-6890	178	10	δw	δw	NOUN
ejpam-6890	178	11	(	(	PUNCT
ejpam-6890	178	12	u(ε	u(ε	PROPN
ejpam-6890	178	13	,	,	PUNCT
ejpam-6890	178	14	0))−w	0))−w	NUM
ejpam-6890	178	15	(	(	PUNCT
ejpam-6890	178	16	uζ(ε	uζ(ε	NOUN
ejpam-6890	178	17	,	,	PUNCT
ejpam-6890	178	18	0	0	NUM
ejpam-6890	178	19	)	)	PUNCT
ejpam-6890	178	20	)	)	PUNCT
ejpam-6890	178	21	.	.	PUNCT
ejpam-6890	179	1	(	(	PUNCT
ejpam-6890	179	2	5	5	X
ejpam-6890	179	3	)	)	PUNCT
ejpam-6890	179	4	wεhζ	wεhζ	NOUN
ejpam-6890	179	5	(	(	PUNCT
ejpam-6890	179	6	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	179	7	,	,	PUNCT
ejpam-6890	179	8	ζ	ζ	NOUN
ejpam-6890	179	9	)	)	PUNCT
ejpam-6890	179	10	∂ε∂ζ	∂ε∂ζ	NOUN
ejpam-6890	179	11	)	)	PUNCT
ejpam-6890	180	1	=	=	SYM
ejpam-6890	180	2	1	1	NUM
ejpam-6890	180	3	σ2	σ2	PROPN
ejpam-6890	180	4	∞∫	∞∫	PROPN
ejpam-6890	180	5	0	0	NUM
ejpam-6890	181	1	∞∫	∞∫	PROPN
ejpam-6890	181	2	0	0	NUM
ejpam-6890	182	1	e−	e−	PROPN
ejpam-6890	182	2	ε	ε	PROPN
ejpam-6890	182	3	σ	σ	PROPN
ejpam-6890	182	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	182	5	δ	δ	PROPN
ejpam-6890	182	6	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	182	7	,	,	PUNCT
ejpam-6890	182	8	ζ	ζ	NOUN
ejpam-6890	182	9	)	)	PUNCT
ejpam-6890	182	10	∂ε∂ζ	∂ε∂ζ	PROPN
ejpam-6890	182	11	dεdζ	dεdζ	NOUN
ejpam-6890	182	12	=	=	SYM
ejpam-6890	182	13	1	1	NUM
ejpam-6890	182	14	σ2	σ2	PROPN
ejpam-6890	182	15	∞∫	∞∫	PROPN
ejpam-6890	182	16	0	0	PUNCT
ejpam-6890	183	1	e−	e−	PROPN
ejpam-6890	183	2	ϕζ	ϕζ	NOUN
ejpam-6890	183	3	δ	δ	PROPN
ejpam-6890	183	4	∞∫	∞∫	PROPN
ejpam-6890	183	5	0	0	NUM
ejpam-6890	184	1	e−	e−	PROPN
ejpam-6890	184	2	ε	ε	PROPN
ejpam-6890	184	3	σ	σ	PROPN
ejpam-6890	184	4	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	184	5	,	,	PUNCT
ejpam-6890	184	6	ζ	ζ	NOUN
ejpam-6890	184	7	)	)	PUNCT
ejpam-6890	184	8	∂ε∂ζ	∂ε∂ζ	PROPN
ejpam-6890	184	9	dεdζ	dεdζ	NOUN
ejpam-6890	184	10	by	by	ADP
ejpam-6890	184	11	integrating	integrate	VERB
ejpam-6890	184	12	by	by	ADP
ejpam-6890	184	13	parts	part	NOUN
ejpam-6890	184	14	,	,	PUNCT
ejpam-6890	184	15	we	we	PRON
ejpam-6890	184	16	get	get	VERB
ejpam-6890	184	17	wεhζ	wεhζ	ADJ
ejpam-6890	184	18	(	(	PUNCT
ejpam-6890	184	19	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	184	20	,	,	PUNCT
ejpam-6890	184	21	ζ	ζ	NOUN
ejpam-6890	184	22	)	)	PUNCT
ejpam-6890	184	23	∂ε∂ζ	∂ε∂ζ	NOUN
ejpam-6890	184	24	)	)	PUNCT
ejpam-6890	185	1	=	=	SYM
ejpam-6890	185	2	1	1	NUM
ejpam-6890	185	3	σ2	σ2	PROPN
ejpam-6890	185	4	∞∫	∞∫	PROPN
ejpam-6890	185	5	0	0	PUNCT
ejpam-6890	186	1	e−	e−	PROPN
ejpam-6890	186	2	ϕζ	ϕζ	NOUN
ejpam-6890	186	3	δ	δ	PROPN
ejpam-6890	186	4	(	(	PUNCT
ejpam-6890	186	5	−uζ(0	−uζ(0	PROPN
ejpam-6890	186	6	,	,	PUNCT
ejpam-6890	186	7	ζ	ζ	NOUN
ejpam-6890	186	8	)	)	PUNCT
ejpam-6890	186	9	+	+	CCONJ
ejpam-6890	186	10	1	1	NUM
ejpam-6890	186	11	σ	σ	PROPN
ejpam-6890	186	12	∞∫	∞∫	PROPN
ejpam-6890	186	13	0	0	NUM
ejpam-6890	187	1	e−	e−	PROPN
ejpam-6890	187	2	ε	ε	PROPN
ejpam-6890	187	3	σ	σ	PROPN
ejpam-6890	187	4	uζ(ε	uζ(ε	PROPN
ejpam-6890	187	5	,	,	PUNCT
ejpam-6890	187	6	ζ	ζ	NOUN
ejpam-6890	187	7	)	)	PUNCT
ejpam-6890	187	8	dε	dε	NOUN
ejpam-6890	187	9	)	)	PUNCT
ejpam-6890	187	10	dζ	dζ	PROPN
ejpam-6890	187	11	=	=	SYM
ejpam-6890	187	12	−	−	PROPN
ejpam-6890	187	13	1	1	NUM
ejpam-6890	187	14	σ2	σ2	PROPN
ejpam-6890	187	15	∞∫	∞∫	PROPN
ejpam-6890	187	16	0	0	PUNCT
ejpam-6890	188	1	e−	e−	PROPN
ejpam-6890	188	2	ϕζ	ϕζ	NOUN
ejpam-6890	188	3	δ	δ	PROPN
ejpam-6890	188	4	uζ(0	uζ(0	PROPN
ejpam-6890	188	5	,	,	PUNCT
ejpam-6890	188	6	ζ)dζ	ζ)dζ	PROPN
ejpam-6890	188	7	+	+	CCONJ
ejpam-6890	188	8	1	1	NUM
ejpam-6890	188	9	σ2	σ2	PROPN
ejpam-6890	188	10	×	×	NOUN
ejpam-6890	188	11	1	1	NUM
ejpam-6890	188	12	σ	σ	PROPN
ejpam-6890	188	13	∞∫	∞∫	PROPN
ejpam-6890	188	14	0	0	NUM
ejpam-6890	188	15	∞∫	∞∫	PROPN
ejpam-6890	188	16	0	0	NUM
ejpam-6890	189	1	e−	e−	PROPN
ejpam-6890	189	2	ε	ε	PROPN
ejpam-6890	189	3	σ	σ	PROPN
ejpam-6890	189	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	189	5	δ	δ	PROPN
ejpam-6890	189	6	uζ(ε	uζ(ε	PART
ejpam-6890	189	7	,	,	PUNCT
ejpam-6890	189	8	ζ)dεdζ	ζ)dεdζ	NOUN
ejpam-6890	189	9	=	=	SYM
ejpam-6890	189	10	−	−	PROPN
ejpam-6890	189	11	1	1	NUM
ejpam-6890	189	12	σ2h(uζ(0	σ2h(uζ(0	NOUN
ejpam-6890	189	13	,	,	PUNCT
ejpam-6890	189	14	ζ	ζ	NOUN
ejpam-6890	189	15	)	)	PUNCT
ejpam-6890	189	16	)	)	PUNCT
ejpam-6890	190	1	+	+	CCONJ
ejpam-6890	190	2	1	1	NUM
ejpam-6890	190	3	σwεhζ	σwεhζ	NOUN
ejpam-6890	190	4	(	(	PUNCT
ejpam-6890	190	5	uζ(ε	uζ(ε	NOUN
ejpam-6890	190	6	,	,	PUNCT
ejpam-6890	190	7	ζ	ζ	NOUN
ejpam-6890	190	8	)	)	PUNCT
ejpam-6890	190	9	)	)	PUNCT
ejpam-6890	190	10	using	use	VERB
ejpam-6890	190	11	equations	equation	NOUN
ejpam-6890	190	12	9	9	NUM
ejpam-6890	190	13	and	and	CCONJ
ejpam-6890	190	14	14	14	NUM
ejpam-6890	190	15	,	,	PUNCT
ejpam-6890	190	16	we	we	PRON
ejpam-6890	190	17	get	get	VERB
ejpam-6890	190	18	wεhζ	wεhζ	ADJ
ejpam-6890	190	19	(	(	PUNCT
ejpam-6890	190	20	∂2u(ε	∂2u(ε	PROPN
ejpam-6890	190	21	,	,	PUNCT
ejpam-6890	190	22	ζ	ζ	NOUN
ejpam-6890	190	23	)	)	PUNCT
ejpam-6890	190	24	∂ε∂ζ	∂ε∂ζ	NOUN
ejpam-6890	190	25	)	)	PUNCT
ejpam-6890	191	1	=	=	PUNCT
ejpam-6890	191	2	ϕ	ϕ	PROPN
ejpam-6890	191	3	σδu(σ	σδu(σ	PROPN
ejpam-6890	191	4	,	,	PUNCT
ejpam-6890	191	5	ϕ	ϕ	NOUN
ejpam-6890	191	6	,	,	PUNCT
ejpam-6890	191	7	δ)−	δ)−	PROPN
ejpam-6890	191	8	1	1	NUM
ejpam-6890	191	9	σw	σw	NOUN
ejpam-6890	191	10	(	(	PUNCT
ejpam-6890	191	11	u(ε	u(ε	PROPN
ejpam-6890	191	12	,	,	PUNCT
ejpam-6890	191	13	0))−	0))−	PUNCT
ejpam-6890	192	1	ϕ	ϕ	PROPN
ejpam-6890	192	2	σ2δ	σ2δ	PROPN
ejpam-6890	192	3	h(u(0	h(u(0	PROPN
ejpam-6890	192	4	,	,	PUNCT
ejpam-6890	192	5	ζ	ζ	NOUN
ejpam-6890	192	6	)	)	PUNCT
ejpam-6890	192	7	)	)	PUNCT
ejpam-6890	193	1	+	+	CCONJ
ejpam-6890	193	2	1	1	NUM
ejpam-6890	193	3	σ2u(0	σ2u(0	PROPN
ejpam-6890	193	4	,	,	PUNCT
ejpam-6890	193	5	0	0	NUM
ejpam-6890	193	6	)	)	PUNCT
ejpam-6890	193	7	.	.	PUNCT
ejpam-6890	194	1	4.2	4.2	NUM
ejpam-6890	194	2	.	.	PUNCT
ejpam-6890	195	1	convolution	convolution	NOUN
ejpam-6890	195	2	theorem	theorem	NOUN
ejpam-6890	195	3	of	of	ADP
ejpam-6890	195	4	dsw	dsw	NOUN
ejpam-6890	195	5	-	-	PUNCT
ejpam-6890	195	6	sht	sht	NOUN
ejpam-6890	195	7	the	the	DET
ejpam-6890	195	8	heaviside	heaviside	ADJ
ejpam-6890	195	9	unit	unit	NOUN
ejpam-6890	195	10	step	step	NOUN
ejpam-6890	195	11	function	function	NOUN
ejpam-6890	195	12	m(ε	m(ε	NOUN
ejpam-6890	195	13	,	,	PUNCT
ejpam-6890	195	14	ζ	ζ	NOUN
ejpam-6890	195	15	)	)	PUNCT
ejpam-6890	195	16	defined	define	VERB
ejpam-6890	195	17	as	as	ADP
ejpam-6890	195	18	m(ε−	m(ε−	PROPN
ejpam-6890	195	19	β	β	NOUN
ejpam-6890	195	20	,	,	PUNCT
ejpam-6890	195	21	ζ	ζ	NOUN
ejpam-6890	195	22	−	−	PROPN
ejpam-6890	195	23	γ	γ	NOUN
ejpam-6890	195	24	)	)	PUNCT
ejpam-6890	195	25	=	=	NOUN
ejpam-6890	195	26	{	{	PUNCT
ejpam-6890	195	27	1	1	NUM
ejpam-6890	195	28	,	,	PUNCT
ejpam-6890	195	29	ε	ε	PROPN
ejpam-6890	195	30	>	>	X
ejpam-6890	195	31	β	β	X
ejpam-6890	195	32	and	and	CCONJ
ejpam-6890	195	33	ζ	ζ	ADJ
ejpam-6890	195	34	>	>	PUNCT
ejpam-6890	195	35	γ	γ	X
ejpam-6890	195	36	0	0	PROPN
ejpam-6890	195	37	,	,	PUNCT
ejpam-6890	195	38	otherwise	otherwise	ADV
ejpam-6890	195	39	then	then	ADV
ejpam-6890	195	40	we	we	PRON
ejpam-6890	195	41	have	have	VERB
ejpam-6890	195	42	the	the	DET
ejpam-6890	195	43	following	follow	VERB
ejpam-6890	195	44	lemma	lemma	PROPN
ejpam-6890	195	45	lemma	lemma	PROPN
ejpam-6890	195	46	1	1	X
ejpam-6890	195	47	.	.	PUNCT
ejpam-6890	195	48	wεhζ(u(ε−	wεhζ(u(ε−	PROPN
ejpam-6890	195	49	β	β	PROPN
ejpam-6890	195	50	,	,	PUNCT
ejpam-6890	195	51	ζ	ζ	NOUN
ejpam-6890	195	52	−	−	NOUN
ejpam-6890	195	53	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	195	54	β	β	NOUN
ejpam-6890	195	55	,	,	PUNCT
ejpam-6890	195	56	ζ	ζ	NOUN
ejpam-6890	195	57	−	−	PROPN
ejpam-6890	195	58	γ	γ	NOUN
ejpam-6890	195	59	)	)	PUNCT
ejpam-6890	195	60	)	)	PUNCT
ejpam-6890	196	1	=	=	PUNCT
ejpam-6890	196	2	e−	e−	PROPN
ejpam-6890	196	3	β	β	X
ejpam-6890	196	4	σ	σ	PROPN
ejpam-6890	196	5	−ϕγ	−ϕγ	PROPN
ejpam-6890	196	6	δ	δ	PROPN
ejpam-6890	196	7	wεhζ(u(ε	wεhζ(u(ε	PROPN
ejpam-6890	196	8	,	,	PUNCT
ejpam-6890	196	9	ζ	ζ	NOUN
ejpam-6890	196	10	)	)	PUNCT
ejpam-6890	196	11	proof	proof	NOUN
ejpam-6890	196	12	.	.	PUNCT
ejpam-6890	197	1	we	we	PRON
ejpam-6890	197	2	have	have	VERB
ejpam-6890	197	3	wεhζ(u(ε−	wεhζ(u(ε−	PROPN
ejpam-6890	197	4	β	β	X
ejpam-6890	197	5	,	,	PUNCT
ejpam-6890	197	6	ζ	ζ	NOUN
ejpam-6890	197	7	−	−	NOUN
ejpam-6890	197	8	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	197	9	β	β	NOUN
ejpam-6890	197	10	,	,	PUNCT
ejpam-6890	197	11	ζ	ζ	NOUN
ejpam-6890	197	12	−	−	PROPN
ejpam-6890	197	13	γ	γ	NOUN
ejpam-6890	197	14	)	)	PUNCT
ejpam-6890	197	15	)	)	PUNCT
ejpam-6890	198	1	=	=	SYM
ejpam-6890	198	2	1	1	NUM
ejpam-6890	198	3	σ2	σ2	PROPN
ejpam-6890	198	4	∞∫	∞∫	PROPN
ejpam-6890	198	5	0	0	NUM
ejpam-6890	199	1	∞∫	∞∫	PROPN
ejpam-6890	199	2	0	0	NUM
ejpam-6890	200	1	e−	e−	PROPN
ejpam-6890	200	2	ε	ε	PROPN
ejpam-6890	200	3	σ	σ	PROPN
ejpam-6890	200	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	200	5	δ	δ	PROPN
ejpam-6890	200	6	u(ε−	u(ε−	PROPN
ejpam-6890	200	7	β	β	NOUN
ejpam-6890	200	8	,	,	PUNCT
ejpam-6890	200	9	ζ	ζ	NOUN
ejpam-6890	200	10	−	−	NOUN
ejpam-6890	200	11	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	200	12	β	β	NOUN
ejpam-6890	200	13	,	,	PUNCT
ejpam-6890	200	14	ζ	ζ	NOUN
ejpam-6890	200	15	−	−	NOUN
ejpam-6890	200	16	γ)dεdζ	γ)dεdζ	NOUN
ejpam-6890	200	17	=	=	SYM
ejpam-6890	200	18	1	1	NUM
ejpam-6890	200	19	σ2	σ2	PROPN
ejpam-6890	200	20	∞∫	∞∫	PROPN
ejpam-6890	200	21	β	β	PROPN
ejpam-6890	200	22	∞∫	∞∫	PROPN
ejpam-6890	200	23	γ	γ	PROPN
ejpam-6890	200	24	e−	e−	PROPN
ejpam-6890	200	25	ε	ε	PROPN
ejpam-6890	200	26	σ	σ	PROPN
ejpam-6890	200	27	−ϕζ	−ϕζ	PROPN
ejpam-6890	200	28	δ	δ	PROPN
ejpam-6890	200	29	u(ε−	u(ε−	PROPN
ejpam-6890	200	30	β	β	NOUN
ejpam-6890	200	31	,	,	PUNCT
ejpam-6890	200	32	ζ	ζ	NOUN
ejpam-6890	200	33	−	−	PROPN
ejpam-6890	200	34	γ)dεdζ	γ)dεdζ	NOUN
ejpam-6890	200	35	.	.	PUNCT
ejpam-6890	201	1	(	(	PUNCT
ejpam-6890	201	2	17	17	NUM
ejpam-6890	201	3	)	)	PUNCT
ejpam-6890	201	4	m.	m.	NOUN
ejpam-6890	201	5	al	al	PROPN
ejpam-6890	201	6	-	-	PUNCT
ejpam-6890	201	7	momani	momani	X
ejpam-6890	201	8	et	et	PROPN
ejpam-6890	201	9	al	al	PROPN
ejpam-6890	201	10	.	.	PUNCT
ejpam-6890	201	11	/	/	SYM
ejpam-6890	201	12	eur	eur	PROPN
ejpam-6890	201	13	.	.	PUNCT
ejpam-6890	202	1	j.	j.	PROPN
ejpam-6890	202	2	pure	pure	PROPN
ejpam-6890	202	3	appl	appl	PROPN
ejpam-6890	202	4	.	.	PROPN
ejpam-6890	202	5	math	math	PROPN
ejpam-6890	202	6	,	,	PUNCT
ejpam-6890	202	7	18	18	NUM
ejpam-6890	202	8	(	(	PUNCT
ejpam-6890	202	9	4	4	NUM
ejpam-6890	202	10	)	)	PUNCT
ejpam-6890	202	11	(	(	PUNCT
ejpam-6890	202	12	2025	2025	NUM
ejpam-6890	202	13	)	)	PUNCT
ejpam-6890	202	14	,	,	PUNCT
ejpam-6890	202	15	6890	6890	NUM
ejpam-6890	202	16	8	8	NUM
ejpam-6890	202	17	of	of	ADP
ejpam-6890	202	18	15	15	NUM
ejpam-6890	202	19	now	now	ADV
ejpam-6890	202	20	,	,	PUNCT
ejpam-6890	202	21	by	by	ADP
ejpam-6890	202	22	making	make	VERB
ejpam-6890	202	23	the	the	DET
ejpam-6890	202	24	substitution	substitution	NOUN
ejpam-6890	202	25	s	s	VERB
ejpam-6890	202	26	=	=	PUNCT
ejpam-6890	202	27	ε−	ε−	PROPN
ejpam-6890	202	28	β	β	X
ejpam-6890	202	29	and	and	CCONJ
ejpam-6890	202	30	r	r	NOUN
ejpam-6890	202	31	=	=	SYM
ejpam-6890	202	32	ζ	ζ	NOUN
ejpam-6890	202	33	−	−	PROPN
ejpam-6890	202	34	γ	γ	PROPN
ejpam-6890	202	35	,	,	PUNCT
ejpam-6890	202	36	equation	equation	NOUN
ejpam-6890	202	37	(	(	PUNCT
ejpam-6890	202	38	17	17	NUM
ejpam-6890	202	39	)	)	PUNCT
ejpam-6890	202	40	becomes	become	VERB
ejpam-6890	202	41	:	:	PUNCT
ejpam-6890	202	42	wεhζ(u(ε−	wεhζ(u(ε−	PROPN
ejpam-6890	202	43	β	β	X
ejpam-6890	202	44	,	,	PUNCT
ejpam-6890	202	45	ζ	ζ	NOUN
ejpam-6890	202	46	−	−	NOUN
ejpam-6890	202	47	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	202	48	β	β	NOUN
ejpam-6890	202	49	,	,	PUNCT
ejpam-6890	202	50	ζ	ζ	NOUN
ejpam-6890	202	51	−	−	PROPN
ejpam-6890	202	52	γ	γ	NOUN
ejpam-6890	202	53	)	)	PUNCT
ejpam-6890	202	54	)	)	PUNCT
ejpam-6890	203	1	=	=	SYM
ejpam-6890	203	2	1	1	NUM
ejpam-6890	203	3	σ2	σ2	PROPN
ejpam-6890	203	4	∞∫	∞∫	PROPN
ejpam-6890	203	5	0	0	NUM
ejpam-6890	204	1	∞∫	∞∫	PROPN
ejpam-6890	204	2	0	0	NUM
ejpam-6890	205	1	e−	e−	PROPN
ejpam-6890	205	2	(	(	PUNCT
ejpam-6890	205	3	s+β	s+β	NUM
ejpam-6890	205	4	)	)	PUNCT
ejpam-6890	205	5	σ	σ	PROPN
ejpam-6890	205	6	−ϕ(r+γ	−ϕ(r+γ	NOUN
ejpam-6890	205	7	)	)	PUNCT
ejpam-6890	205	8	δ	δ	PROPN
ejpam-6890	205	9	u(s	u(s	PROPN
ejpam-6890	205	10	,	,	PUNCT
ejpam-6890	205	11	r)dsdr	r)dsdr	X
ejpam-6890	205	12	=	=	PUNCT
ejpam-6890	205	13	e−	e−	PROPN
ejpam-6890	205	14	β	β	PROPN
ejpam-6890	205	15	σ	σ	PROPN
ejpam-6890	205	16	−ϕγ	−ϕγ	PROPN
ejpam-6890	205	17	δ	δ	PROPN
ejpam-6890	205	18	wεhζ(u(ε	wεhζ(u(ε	PROPN
ejpam-6890	205	19	,	,	PUNCT
ejpam-6890	205	20	ζ	ζ	NOUN
ejpam-6890	205	21	)	)	PUNCT
ejpam-6890	205	22	)	)	PUNCT
ejpam-6890	205	23	.	.	PUNCT
ejpam-6890	206	1	definition	definition	NOUN
ejpam-6890	206	2	4	4	NUM
ejpam-6890	206	3	.	.	PUNCT
ejpam-6890	207	1	let	let	VERB
ejpam-6890	207	2	u(ε	u(ε	PROPN
ejpam-6890	207	3	,	,	PUNCT
ejpam-6890	207	4	ζ	ζ	NOUN
ejpam-6890	207	5	)	)	PUNCT
ejpam-6890	207	6	and	and	CCONJ
ejpam-6890	207	7	p(ε	p(ε	NOUN
ejpam-6890	207	8	,	,	PUNCT
ejpam-6890	207	9	ζ	ζ	NOUN
ejpam-6890	207	10	)	)	PUNCT
ejpam-6890	207	11	be	be	VERB
ejpam-6890	207	12	continuous	continuous	ADJ
ejpam-6890	207	13	functions	function	NOUN
ejpam-6890	207	14	.	.	PUNCT
ejpam-6890	208	1	we	we	PRON
ejpam-6890	208	2	define	define	VERB
ejpam-6890	208	3	the	the	DET
ejpam-6890	208	4	convolution	convolution	NOUN
ejpam-6890	208	5	in	in	ADP
ejpam-6890	208	6	the	the	DET
ejpam-6890	208	7	dsw	dsw	NOUN
ejpam-6890	208	8	-	-	PUNCT
ejpam-6890	208	9	sht	sht	NOUN
ejpam-6890	208	10	as	as	ADP
ejpam-6890	208	11	(	(	PUNCT
ejpam-6890	208	12	u	u	NOUN
ejpam-6890	208	13	∗	∗	PROPN
ejpam-6890	208	14	∗p)(ε	∗p)(ε	NOUN
ejpam-6890	208	15	,	,	PUNCT
ejpam-6890	208	16	ζ	ζ	NOUN
ejpam-6890	208	17	)	)	PUNCT
ejpam-6890	208	18	=	=	PUNCT
ejpam-6890	208	19	ε∫	ε∫	NOUN
ejpam-6890	208	20	0	0	NUM
ejpam-6890	208	21	ζ∫	ζ∫	NOUN
ejpam-6890	208	22	0	0	NUM
ejpam-6890	208	23	u(ε−	u(ε−	PROPN
ejpam-6890	208	24	β	β	NOUN
ejpam-6890	208	25	,	,	PUNCT
ejpam-6890	208	26	ζ	ζ	NOUN
ejpam-6890	208	27	−	−	NOUN
ejpam-6890	208	28	γ)p(β	γ)p(β	PROPN
ejpam-6890	208	29	,	,	PUNCT
ejpam-6890	208	30	γ))dβdγ	γ))dβdγ	PROPN
ejpam-6890	208	31	.	.	PROPN
ejpam-6890	209	1	in	in	ADP
ejpam-6890	209	2	the	the	DET
ejpam-6890	209	3	following	following	NOUN
ejpam-6890	209	4	theorem	theorem	NOUN
ejpam-6890	209	5	,	,	PUNCT
ejpam-6890	209	6	we	we	PRON
ejpam-6890	209	7	compute	compute	VERB
ejpam-6890	209	8	dsw	dsw	NOUN
ejpam-6890	209	9	-	-	PUNCT
ejpam-6890	209	10	sht	sht	NOUN
ejpam-6890	209	11	of	of	ADP
ejpam-6890	209	12	the	the	DET
ejpam-6890	209	13	convolution	convolution	NOUN
ejpam-6890	209	14	of	of	ADP
ejpam-6890	209	15	two	two	NUM
ejpam-6890	209	16	functions	function	NOUN
ejpam-6890	209	17	theorem	theorem	VERB
ejpam-6890	209	18	2	2	X
ejpam-6890	209	19	.	.	PUNCT
ejpam-6890	210	1	let	let	VERB
ejpam-6890	210	2	u(σ	u(σ	PROPN
ejpam-6890	210	3	,	,	PUNCT
ejpam-6890	210	4	ϕ	ϕ	PROPN
ejpam-6890	210	5	,	,	PUNCT
ejpam-6890	210	6	δ	δ	PROPN
ejpam-6890	210	7	)	)	PUNCT
ejpam-6890	210	8	=	=	PUNCT
ejpam-6890	211	1	wεhζ(u(ε	wεhζ(u(ε	NOUN
ejpam-6890	211	2	,	,	PUNCT
ejpam-6890	211	3	ζ	ζ	NOUN
ejpam-6890	211	4	)	)	PUNCT
ejpam-6890	211	5	)	)	PUNCT
ejpam-6890	211	6	and	and	CCONJ
ejpam-6890	211	7	p	p	X
ejpam-6890	211	8	(	(	PUNCT
ejpam-6890	211	9	σ	σ	PROPN
ejpam-6890	211	10	,	,	PUNCT
ejpam-6890	211	11	ϕ	ϕ	PROPN
ejpam-6890	211	12	,	,	PUNCT
ejpam-6890	211	13	δ	δ	PROPN
ejpam-6890	211	14	)	)	PUNCT
ejpam-6890	211	15	=	=	SYM
ejpam-6890	211	16	wεhζ(p(ε	wεhζ(p(ε	PROPN
ejpam-6890	211	17	,	,	PUNCT
ejpam-6890	211	18	ζ	ζ	NOUN
ejpam-6890	211	19	)	)	PUNCT
ejpam-6890	211	20	)	)	PUNCT
ejpam-6890	211	21	.	.	PUNCT
ejpam-6890	212	1	then	then	ADV
ejpam-6890	212	2	wεhζ((u	wεhζ((u	X
ejpam-6890	212	3	∗	∗	PROPN
ejpam-6890	212	4	∗p)(ε	∗p)(ε	NOUN
ejpam-6890	212	5	,	,	PUNCT
ejpam-6890	212	6	ζ	ζ	NOUN
ejpam-6890	212	7	)	)	PUNCT
ejpam-6890	212	8	)	)	PUNCT
ejpam-6890	212	9	=	=	SYM
ejpam-6890	212	10	σ2u(σ	σ2u(σ	PROPN
ejpam-6890	212	11	,	,	PUNCT
ejpam-6890	212	12	ϕ	ϕ	NOUN
ejpam-6890	212	13	,	,	PUNCT
ejpam-6890	212	14	δ)p	δ)p	X
ejpam-6890	212	15	(	(	PUNCT
ejpam-6890	212	16	σ	σ	PROPN
ejpam-6890	212	17	,	,	PUNCT
ejpam-6890	212	18	ϕ	ϕ	PROPN
ejpam-6890	212	19	,	,	PUNCT
ejpam-6890	212	20	δ	δ	PROPN
ejpam-6890	212	21	)	)	PUNCT
ejpam-6890	212	22	.	.	PUNCT
ejpam-6890	213	1	proof	proof	NOUN
ejpam-6890	213	2	.	.	PUNCT
ejpam-6890	214	1	wεhζ((u∗∗p)(ε	wεhζ((u∗∗p)(ε	NOUN
ejpam-6890	214	2	,	,	PUNCT
ejpam-6890	214	3	ζ	ζ	NOUN
ejpam-6890	214	4	)	)	PUNCT
ejpam-6890	214	5	)	)	PUNCT
ejpam-6890	215	1	=	=	SYM
ejpam-6890	215	2	1	1	NUM
ejpam-6890	215	3	σ2	σ2	PROPN
ejpam-6890	215	4	∞∫	∞∫	PROPN
ejpam-6890	215	5	0	0	NUM
ejpam-6890	216	1	∞∫	∞∫	PROPN
ejpam-6890	216	2	0	0	NUM
ejpam-6890	217	1	e−	e−	PROPN
ejpam-6890	217	2	ε	ε	PROPN
ejpam-6890	217	3	σ	σ	PROPN
ejpam-6890	217	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	217	5	δ	δ	PROPN
ejpam-6890	217	6	(	(	PUNCT
ejpam-6890	217	7	u	u	NOUN
ejpam-6890	217	8	∗	∗	PROPN
ejpam-6890	217	9	∗p)(ε	∗p)(ε	NOUN
ejpam-6890	217	10	,	,	PUNCT
ejpam-6890	217	11	ζ)dεdζ	ζ)dεdζ	NOUN
ejpam-6890	217	12	=	=	SYM
ejpam-6890	217	13	1	1	NUM
ejpam-6890	217	14	σ2	σ2	PROPN
ejpam-6890	217	15	∞∫	∞∫	PROPN
ejpam-6890	217	16	0	0	NUM
ejpam-6890	218	1	∞∫	∞∫	PROPN
ejpam-6890	218	2	0	0	NUM
ejpam-6890	219	1	e−	e−	PROPN
ejpam-6890	219	2	ε	ε	PROPN
ejpam-6890	219	3	σ	σ	PROPN
ejpam-6890	219	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	219	5	δ	δ	PROPN
ejpam-6890	219	6			PROPN
ejpam-6890	219	7	ε∫	ε∫	PROPN
ejpam-6890	219	8	0	0	NUM
ejpam-6890	219	9	ζ∫	ζ∫	NOUN
ejpam-6890	219	10	0	0	NUM
ejpam-6890	219	11	u(ε−	u(ε−	PROPN
ejpam-6890	219	12	β	β	NOUN
ejpam-6890	219	13	,	,	PUNCT
ejpam-6890	219	14	ζ	ζ	NOUN
ejpam-6890	219	15	−	−	NOUN
ejpam-6890	219	16	γ)p(β	γ)p(β	ADJ
ejpam-6890	219	17	,	,	PUNCT
ejpam-6890	219	18	γ))dβdγ	γ))dβdγ	PROPN
ejpam-6890	219	19			PROPN
ejpam-6890	219	20	dεdζ	dεdζ	PROPN
ejpam-6890	219	21	.	.	PUNCT
ejpam-6890	220	1	(	(	PUNCT
ejpam-6890	220	2	18	18	NUM
ejpam-6890	220	3	)	)	PUNCT
ejpam-6890	220	4	using	use	VERB
ejpam-6890	220	5	the	the	DET
ejpam-6890	220	6	heaviside	heaviside	ADJ
ejpam-6890	220	7	unit	unit	NOUN
ejpam-6890	220	8	step	step	NOUN
ejpam-6890	220	9	function	function	NOUN
ejpam-6890	220	10	,	,	PUNCT
ejpam-6890	220	11	we	we	PRON
ejpam-6890	220	12	can	can	AUX
ejpam-6890	220	13	write	write	VERB
ejpam-6890	220	14	equation	equation	NOUN
ejpam-6890	220	15	(	(	PUNCT
ejpam-6890	220	16	18	18	NUM
ejpam-6890	220	17	)	)	PUNCT
ejpam-6890	220	18	as	as	ADP
ejpam-6890	220	19	wεhζ((u∗∗p)(ε	wεhζ((u∗∗p)(ε	NOUN
ejpam-6890	220	20	,	,	PUNCT
ejpam-6890	220	21	ζ	ζ	NOUN
ejpam-6890	220	22	)	)	PUNCT
ejpam-6890	220	23	)	)	PUNCT
ejpam-6890	221	1	=	=	SYM
ejpam-6890	221	2	1	1	NUM
ejpam-6890	221	3	σ2	σ2	PROPN
ejpam-6890	221	4	∞∫	∞∫	PROPN
ejpam-6890	221	5	0	0	NUM
ejpam-6890	222	1	∞∫	∞∫	PROPN
ejpam-6890	222	2	0	0	NUM
ejpam-6890	223	1	e−	e−	PROPN
ejpam-6890	223	2	ε	ε	PROPN
ejpam-6890	223	3	σ	σ	PROPN
ejpam-6890	223	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	223	5	δ	δ	PROPN
ejpam-6890	223	6	∞∫	∞∫	PROPN
ejpam-6890	223	7	0	0	NUM
ejpam-6890	224	1	∞∫	∞∫	NOUN
ejpam-6890	224	2	0	0	NUM
ejpam-6890	224	3	u(ε−	u(ε−	PROPN
ejpam-6890	224	4	β	β	NOUN
ejpam-6890	224	5	,	,	PUNCT
ejpam-6890	224	6	ζ	ζ	NOUN
ejpam-6890	224	7	−	−	NOUN
ejpam-6890	224	8	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	224	9	β	β	NOUN
ejpam-6890	224	10	,	,	PUNCT
ejpam-6890	224	11	ζ	ζ	NOUN
ejpam-6890	224	12	−	−	NOUN
ejpam-6890	224	13	γ)p(β	γ)p(β	ADJ
ejpam-6890	224	14	,	,	PUNCT
ejpam-6890	224	15	γ))dβdγ	γ))dβdγ	ADJ
ejpam-6890	224	16			PROPN
ejpam-6890	224	17	dεdζ	dεdζ	NOUN
ejpam-6890	224	18	=	=	SYM
ejpam-6890	224	19	∞∫	∞∫	PROPN
ejpam-6890	224	20	0	0	NUM
ejpam-6890	224	21	∞∫	∞∫	NOUN
ejpam-6890	224	22	0	0	NUM
ejpam-6890	224	23	p(β	p(β	PROPN
ejpam-6890	224	24	,	,	PUNCT
ejpam-6890	224	25	γ	γ	NOUN
ejpam-6890	224	26	)	)	PUNCT
ejpam-6890	224	27			PROPN
ejpam-6890	224	28	1	1	NUM
ejpam-6890	224	29	σ2	σ2	PROPN
ejpam-6890	224	30	∞∫	∞∫	PROPN
ejpam-6890	224	31	0	0	NUM
ejpam-6890	224	32	∞∫	∞∫	PROPN
ejpam-6890	224	33	0	0	NUM
ejpam-6890	225	1	e−	e−	PROPN
ejpam-6890	225	2	ε	ε	PROPN
ejpam-6890	225	3	σ	σ	PROPN
ejpam-6890	225	4	−ϕζ	−ϕζ	PROPN
ejpam-6890	225	5	δ	δ	PROPN
ejpam-6890	225	6	u(ε−	u(ε−	PROPN
ejpam-6890	225	7	β	β	NOUN
ejpam-6890	225	8	,	,	PUNCT
ejpam-6890	225	9	ζ	ζ	NOUN
ejpam-6890	225	10	−	−	NOUN
ejpam-6890	225	11	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	225	12	β	β	NOUN
ejpam-6890	225	13	,	,	PUNCT
ejpam-6890	225	14	ζ	ζ	NOUN
ejpam-6890	225	15	−	−	NOUN
ejpam-6890	225	16	γ)dεdζ	γ)dεdζ	NOUN
ejpam-6890	226	1			PROPN
ejpam-6890	226	2	dβdγ	dβdγ	VERB
ejpam-6890	226	3	so	so	ADV
ejpam-6890	226	4	by	by	ADP
ejpam-6890	226	5	lemma	lemma	PROPN
ejpam-6890	226	6	1	1	NUM
ejpam-6890	226	7	,	,	PUNCT
ejpam-6890	226	8	we	we	PRON
ejpam-6890	226	9	have	have	VERB
ejpam-6890	226	10	wεhζ((u	wεhζ((u	NOUN
ejpam-6890	226	11	∗	∗	NOUN
ejpam-6890	226	12	∗p)(ε	∗p)(ε	NOUN
ejpam-6890	226	13	,	,	PUNCT
ejpam-6890	226	14	ζ	ζ	NOUN
ejpam-6890	226	15	)	)	PUNCT
ejpam-6890	226	16	)	)	PUNCT
ejpam-6890	227	1	=	=	SYM
ejpam-6890	228	1	u(σ	u(σ	PROPN
ejpam-6890	228	2	,	,	PUNCT
ejpam-6890	228	3	ϕ	ϕ	PROPN
ejpam-6890	228	4	,	,	PUNCT
ejpam-6890	228	5	δ	δ	PROPN
ejpam-6890	228	6	)	)	PUNCT
ejpam-6890	228	7	∞∫	∞∫	PROPN
ejpam-6890	228	8	0	0	NUM
ejpam-6890	228	9	∞∫	∞∫	NOUN
ejpam-6890	228	10	0	0	NUM
ejpam-6890	228	11	p(β	p(β	PROPN
ejpam-6890	228	12	,	,	PUNCT
ejpam-6890	228	13	γ)e−	γ)e−	PROPN
ejpam-6890	228	14	β	β	PROPN
ejpam-6890	228	15	σ	σ	PROPN
ejpam-6890	228	16	−ϕγ	−ϕγ	PROPN
ejpam-6890	228	17	δ	δ	PROPN
ejpam-6890	228	18	dβdγ	dβdγ	PROPN
ejpam-6890	228	19	m.	m.	PROPN
ejpam-6890	228	20	al	al	PROPN
ejpam-6890	228	21	-	-	PUNCT
ejpam-6890	228	22	momani	momani	X
ejpam-6890	228	23	et	et	PROPN
ejpam-6890	228	24	al	al	PROPN
ejpam-6890	228	25	.	.	PUNCT
ejpam-6890	228	26	/	/	SYM
ejpam-6890	228	27	eur	eur	PROPN
ejpam-6890	228	28	.	.	PUNCT
ejpam-6890	229	1	j.	j.	PROPN
ejpam-6890	229	2	pure	pure	PROPN
ejpam-6890	229	3	appl	appl	PROPN
ejpam-6890	229	4	.	.	PROPN
ejpam-6890	229	5	math	math	PROPN
ejpam-6890	229	6	,	,	PUNCT
ejpam-6890	229	7	18	18	NUM
ejpam-6890	229	8	(	(	PUNCT
ejpam-6890	229	9	4	4	NUM
ejpam-6890	229	10	)	)	PUNCT
ejpam-6890	229	11	(	(	PUNCT
ejpam-6890	229	12	2025	2025	NUM
ejpam-6890	229	13	)	)	PUNCT
ejpam-6890	229	14	,	,	PUNCT
ejpam-6890	229	15	6890	6890	NUM
ejpam-6890	229	16	9	9	NUM
ejpam-6890	229	17	of	of	ADP
ejpam-6890	229	18	15	15	NUM
ejpam-6890	229	19	=	=	SYM
ejpam-6890	229	20	σ2u(σ	σ2u(σ	PROPN
ejpam-6890	229	21	,	,	PUNCT
ejpam-6890	229	22	ϕ	ϕ	NOUN
ejpam-6890	229	23	,	,	PUNCT
ejpam-6890	229	24	δ)p	δ)p	X
ejpam-6890	229	25	(	(	PUNCT
ejpam-6890	229	26	σ	σ	PROPN
ejpam-6890	229	27	,	,	PUNCT
ejpam-6890	229	28	ϕ	ϕ	PROPN
ejpam-6890	229	29	,	,	PUNCT
ejpam-6890	229	30	δ	δ	PROPN
ejpam-6890	229	31	)	)	PUNCT
ejpam-6890	229	32	.	.	PUNCT
ejpam-6890	230	1	in	in	ADP
ejpam-6890	230	2	table	table	NOUN
ejpam-6890	230	3	1	1	NUM
ejpam-6890	230	4	,	,	PUNCT
ejpam-6890	230	5	we	we	PRON
ejpam-6890	230	6	have	have	VERB
ejpam-6890	230	7	the	the	DET
ejpam-6890	230	8	dsw	dsw	NOUN
ejpam-6890	230	9	-	-	PUNCT
ejpam-6890	230	10	sht	sht	NOUN
ejpam-6890	230	11	of	of	ADP
ejpam-6890	230	12	some	some	DET
ejpam-6890	230	13	basic	basic	ADJ
ejpam-6890	230	14	functions	function	NOUN
ejpam-6890	230	15	table	table	NOUN
ejpam-6890	230	16	1	1	NUM
ejpam-6890	230	17	:	:	PUNCT
ejpam-6890	230	18	table	table	NOUN
ejpam-6890	230	19	of	of	ADP
ejpam-6890	230	20	the	the	DET
ejpam-6890	230	21	double	double	ADJ
ejpam-6890	230	22	sawi	sawi	ADJ
ejpam-6890	230	23	-	-	PUNCT
ejpam-6890	230	24	shehu	shehu	NOUN
ejpam-6890	230	25	transform	transform	VERB
ejpam-6890	230	26	u(ε	u(ε	PRON
ejpam-6890	230	27	,	,	PUNCT
ejpam-6890	230	28	ζ	ζ	NOUN
ejpam-6890	230	29	)	)	PUNCT
ejpam-6890	230	30	wεhζ(u(ε	wεhζ(u(ε	NOUN
ejpam-6890	230	31	,	,	PUNCT
ejpam-6890	230	32	ζ	ζ	NOUN
ejpam-6890	230	33	)	)	PUNCT
ejpam-6890	230	34	)	)	PUNCT
ejpam-6890	230	35	w(ε)x(ζ	w(ε)x(ζ	PROPN
ejpam-6890	230	36	)	)	PUNCT
ejpam-6890	231	1	w	w	PROPN
ejpam-6890	231	2	(	(	PUNCT
ejpam-6890	231	3	w(ε))h(x(ζ	w(ε))h(x(ζ	PROPN
ejpam-6890	231	4	)	)	PUNCT
ejpam-6890	231	5	)	)	PUNCT
ejpam-6890	231	6	1	1	NUM
ejpam-6890	231	7	δ	δ	PROPN
ejpam-6890	231	8	σϕ	σϕ	INTJ
ejpam-6890	231	9	,	,	PUNCT
ejpam-6890	231	10	re(σ	re(σ	X
ejpam-6890	231	11	)	)	PUNCT
ejpam-6890	231	12	>	>	SYM
ejpam-6890	231	13	0	0	NUM
ejpam-6890	231	14	εβζγ	εβζγ	NOUN
ejpam-6890	231	15	σβ−1δγ+1	σβ−1δγ+1	X
ejpam-6890	232	1	ϕγ+1	ϕγ+1	ADP
ejpam-6890	232	2	γ(β	γ(β	PROPN
ejpam-6890	232	3	+	+	CCONJ
ejpam-6890	232	4	1)γ(γ	1)γ(γ	NUM
ejpam-6890	232	5	+	+	CCONJ
ejpam-6890	232	6	1	1	NUM
ejpam-6890	232	7	)	)	PUNCT
ejpam-6890	232	8	,	,	PUNCT
ejpam-6890	232	9	re(σ	re(σ	X
ejpam-6890	232	10	)	)	PUNCT
ejpam-6890	232	11	>	>	SYM
ejpam-6890	232	12	0	0	PUNCT
ejpam-6890	232	13	and	and	CCONJ
ejpam-6890	232	14	re(β	re(β	PROPN
ejpam-6890	232	15	)	)	PUNCT
ejpam-6890	232	16	>	>	X
ejpam-6890	232	17	−1	−1	NOUN
ejpam-6890	232	18	eβε+γζ	eβε+γζ	PROPN
ejpam-6890	232	19	δ	δ	PROPN
ejpam-6890	232	20	σ(1−σβ)(ϕ−γδ	σ(1−σβ)(ϕ−γδ	PROPN
ejpam-6890	232	21	)	)	PUNCT
ejpam-6890	232	22	,	,	PUNCT
ejpam-6890	232	23	re	re	VERB
ejpam-6890	232	24	(	(	PUNCT
ejpam-6890	232	25	1σ	1σ	NOUN
ejpam-6890	232	26	)	)	PUNCT
ejpam-6890	232	27	>	>	X
ejpam-6890	232	28	re(β	re(β	X
ejpam-6890	232	29	)	)	PUNCT
ejpam-6890	232	30	ei(βε+γζ	ei(βε+γζ	PROPN
ejpam-6890	232	31	)	)	PUNCT
ejpam-6890	232	32	δ	δ	PROPN
ejpam-6890	232	33	σ(1−iσβ)(ϕ−iγδ	σ(1−iσβ)(ϕ−iγδ	NOUN
ejpam-6890	232	34	)	)	PUNCT
ejpam-6890	232	35	,	,	PUNCT
ejpam-6890	232	36	im(β	im(β	NUM
ejpam-6890	232	37	)	)	PUNCT
ejpam-6890	233	1	+	+	CCONJ
ejpam-6890	233	2	re	re	VERB
ejpam-6890	233	3	(	(	PUNCT
ejpam-6890	233	4	1σ	1σ	NOUN
ejpam-6890	233	5	)	)	PUNCT
ejpam-6890	233	6	>	>	SYM
ejpam-6890	233	7	0	0	NUM
ejpam-6890	233	8	sin	sin	NOUN
ejpam-6890	233	9	(	(	PUNCT
ejpam-6890	233	10	βε+	βε+	NOUN
ejpam-6890	233	11	γζ	γζ	PROPN
ejpam-6890	233	12	)	)	PUNCT
ejpam-6890	233	13	δ(σϕβ+δγ	δ(σϕβ+δγ	NOUN
ejpam-6890	233	14	)	)	PUNCT
ejpam-6890	233	15	σ(1+σ2β2)(ϕ2+γ2δ2	σ(1+σ2β2)(ϕ2+γ2δ2	PROPN
ejpam-6890	233	16	)	)	PUNCT
ejpam-6890	233	17	,	,	PUNCT
ejpam-6890	233	18	|im(β)|	|im(β)|	VERB
ejpam-6890	233	19	<	<	X
ejpam-6890	233	20	re	re	X
ejpam-6890	233	21	(	(	PUNCT
ejpam-6890	233	22	1σ	1σ	NOUN
ejpam-6890	233	23	)	)	PUNCT
ejpam-6890	233	24	cos	cos	PROPN
ejpam-6890	233	25	(	(	PUNCT
ejpam-6890	233	26	βε+	βε+	NOUN
ejpam-6890	233	27	γζ	γζ	PROPN
ejpam-6890	233	28	)	)	PUNCT
ejpam-6890	233	29	δ(ϕ−σδβγ	δ(ϕ−σδβγ	PROPN
ejpam-6890	233	30	)	)	PUNCT
ejpam-6890	233	31	σ(1+σ2β2)(ϕ2+γ2δ2	σ(1+σ2β2)(ϕ2+γ2δ2	PROPN
ejpam-6890	233	32	)	)	PUNCT
ejpam-6890	233	33	,	,	PUNCT
ejpam-6890	233	34	|im(β)|	|im(β)|	VERB
ejpam-6890	233	35	<	<	X
ejpam-6890	233	36	re	re	X
ejpam-6890	233	37	(	(	PUNCT
ejpam-6890	233	38	1σ	1σ	NOUN
ejpam-6890	233	39	)	)	PUNCT
ejpam-6890	233	40	sinh	sinh	NOUN
ejpam-6890	233	41	(	(	PUNCT
ejpam-6890	233	42	βε+	βε+	NOUN
ejpam-6890	233	43	γζ	γζ	PROPN
ejpam-6890	233	44	)	)	PUNCT
ejpam-6890	233	45	δ(σϕβ+δγ	δ(σϕβ+δγ	NOUN
ejpam-6890	233	46	)	)	PUNCT
ejpam-6890	233	47	σ(σ2β2−1)(ϕ2−γ2δ2	σ(σ2β2−1)(ϕ2−γ2δ2	PROPN
ejpam-6890	233	48	)	)	PUNCT
ejpam-6890	233	49	,	,	PUNCT
ejpam-6890	233	50	re	re	VERB
ejpam-6890	233	51	(	(	PUNCT
ejpam-6890	233	52	1σ	1σ	NOUN
ejpam-6890	233	53	)	)	PUNCT
ejpam-6890	233	54	>	>	X
ejpam-6890	233	55	re(β	re(β	X
ejpam-6890	233	56	)	)	PUNCT
ejpam-6890	233	57	and	and	CCONJ
ejpam-6890	233	58	re	re	ADP
ejpam-6890	233	59	(	(	PUNCT
ejpam-6890	233	60	1σ	1σ	NOUN
ejpam-6890	233	61	+	+	CCONJ
ejpam-6890	233	62	β	β	X
ejpam-6890	233	63	)	)	PUNCT
ejpam-6890	233	64	>	>	SYM
ejpam-6890	233	65	0	0	NUM
ejpam-6890	233	66	cosh	cosh	NOUN
ejpam-6890	233	67	(	(	PUNCT
ejpam-6890	233	68	βε+	βε+	NOUN
ejpam-6890	233	69	γζ	γζ	ADP
ejpam-6890	233	70	)	)	PUNCT
ejpam-6890	233	71	δ(ϕ+σδβγ	δ(ϕ+σδβγ	ADJ
ejpam-6890	233	72	)	)	PUNCT
ejpam-6890	233	73	σ(σ2β2−1)(ϕ2−γ2δ2	σ(σ2β2−1)(ϕ2−γ2δ2	PROPN
ejpam-6890	233	74	)	)	PUNCT
ejpam-6890	233	75	,	,	PUNCT
ejpam-6890	233	76	re	re	VERB
ejpam-6890	233	77	(	(	PUNCT
ejpam-6890	233	78	1σ	1σ	NOUN
ejpam-6890	233	79	)	)	PUNCT
ejpam-6890	233	80	>	>	X
ejpam-6890	233	81	re(β	re(β	X
ejpam-6890	233	82	)	)	PUNCT
ejpam-6890	233	83	and	and	CCONJ
ejpam-6890	233	84	re	re	ADP
ejpam-6890	233	85	(	(	PUNCT
ejpam-6890	233	86	1σ	1σ	NOUN
ejpam-6890	233	87	+	+	CCONJ
ejpam-6890	233	88	β	β	X
ejpam-6890	233	89	)	)	PUNCT
ejpam-6890	233	90	>	>	X
ejpam-6890	233	91	0	0	NUM
ejpam-6890	234	1	j0	j0	PROPN
ejpam-6890	234	2	(	(	PUNCT
ejpam-6890	234	3	c	c	NOUN
ejpam-6890	234	4	√	√	PROPN
ejpam-6890	234	5	εζ	εζ	PROPN
ejpam-6890	234	6	)	)	PUNCT
ejpam-6890	234	7	4δ	4δ	NOUN
ejpam-6890	234	8	σ(4ϕ+c2σδ	σ(4ϕ+c2σδ	NOUN
ejpam-6890	234	9	)	)	PUNCT
ejpam-6890	234	10	,	,	PUNCT
ejpam-6890	234	11	re	re	ADP
ejpam-6890	234	12	(	(	PUNCT
ejpam-6890	234	13	1	1	NUM
ejpam-6890	234	14	σ	σ	NOUN
ejpam-6890	234	15	+	+	NUM
ejpam-6890	234	16	c2δ	c2δ	ADJ
ejpam-6890	234	17	4ϕ	4ϕ	NOUN
ejpam-6890	234	18	)	)	PUNCT
ejpam-6890	234	19	>	>	X
ejpam-6890	234	20	0	0	NUM
ejpam-6890	234	21	u(ε−	u(ε−	PROPN
ejpam-6890	234	22	β	β	NOUN
ejpam-6890	234	23	,	,	PUNCT
ejpam-6890	234	24	ζ	ζ	NOUN
ejpam-6890	234	25	−	−	NOUN
ejpam-6890	234	26	γ)m(ε−	γ)m(ε−	PRON
ejpam-6890	234	27	β	β	NOUN
ejpam-6890	234	28	,	,	PUNCT
ejpam-6890	234	29	ζ	ζ	NOUN
ejpam-6890	234	30	−	−	PROPN
ejpam-6890	234	31	γ	γ	NOUN
ejpam-6890	234	32	)	)	PUNCT
ejpam-6890	234	33	e−	e−	PROPN
ejpam-6890	234	34	β	β	PROPN
ejpam-6890	234	35	σ	σ	PROPN
ejpam-6890	234	36	−ϕγ	−ϕγ	PROPN
ejpam-6890	234	37	δ	δ	PROPN
ejpam-6890	234	38	wεhζ(u(ε	wεhζ(u(ε	PROPN
ejpam-6890	234	39	,	,	PUNCT
ejpam-6890	234	40	ζ	ζ	NOUN
ejpam-6890	234	41	)	)	PUNCT
ejpam-6890	234	42	)	)	PUNCT
ejpam-6890	235	1	(	(	PUNCT
ejpam-6890	235	2	u	u	NOUN
ejpam-6890	235	3	∗	∗	PROPN
ejpam-6890	235	4	∗p)(ε	∗p)(ε	NOUN
ejpam-6890	235	5	,	,	PUNCT
ejpam-6890	235	6	ζ	ζ	NOUN
ejpam-6890	235	7	)	)	PUNCT
ejpam-6890	235	8	σ2wεhζ(u(ε	σ2wεhζ(u(ε	NOUN
ejpam-6890	235	9	,	,	PUNCT
ejpam-6890	235	10	ζ))wεhζ(p(ε	ζ))wεhζ(p(ε	PROPN
ejpam-6890	235	11	,	,	PUNCT
ejpam-6890	235	12	ζ	ζ	NOUN
ejpam-6890	235	13	)	)	PUNCT
ejpam-6890	235	14	)	)	PUNCT
ejpam-6890	235	15	5	5	NUM
ejpam-6890	235	16	.	.	PUNCT
ejpam-6890	235	17	applications	application	NOUN
ejpam-6890	235	18	in	in	ADP
ejpam-6890	235	19	this	this	DET
ejpam-6890	235	20	section	section	NOUN
ejpam-6890	235	21	,	,	PUNCT
ejpam-6890	235	22	we	we	PRON
ejpam-6890	235	23	use	use	VERB
ejpam-6890	235	24	the	the	DET
ejpam-6890	235	25	dsw	dsw	NOUN
ejpam-6890	235	26	-	-	PUNCT
ejpam-6890	235	27	sht	sht	NOUN
ejpam-6890	235	28	for	for	ADP
ejpam-6890	235	29	solving	solve	VERB
ejpam-6890	235	30	pdes	pde	NOUN
ejpam-6890	235	31	and	and	CCONJ
ejpam-6890	235	32	integro	integro	PROPN
ejpam-6890	235	33	pdes	pde	NOUN
ejpam-6890	235	34	example	example	NOUN
ejpam-6890	235	35	1	1	X
ejpam-6890	235	36	.	.	X
ejpam-6890	235	37	consider	consider	VERB
ejpam-6890	235	38	the	the	DET
ejpam-6890	235	39	advection	advection	NOUN
ejpam-6890	235	40	-	-	PUNCT
ejpam-6890	235	41	diffusion	diffusion	NOUN
ejpam-6890	235	42	equation	equation	NOUN
ejpam-6890	235	43	uζ	uζ	PROPN
ejpam-6890	235	44	+	+	NUM
ejpam-6890	235	45	uεε	uεε	X
ejpam-6890	235	46	=	=	SYM
ejpam-6890	235	47	uε	uε	NOUN
ejpam-6890	235	48	+	+	NOUN
ejpam-6890	235	49	2	2	NUM
ejpam-6890	235	50	,	,	PUNCT
ejpam-6890	235	51	where	where	SCONJ
ejpam-6890	235	52	ε	ε	PROPN
ejpam-6890	235	53	,	,	PUNCT
ejpam-6890	235	54	ζ	ζ	X
ejpam-6890	235	55	≥	≥	NOUN
ejpam-6890	235	56	0	0	NUM
ejpam-6890	235	57	,	,	PUNCT
ejpam-6890	235	58	(	(	PUNCT
ejpam-6890	235	59	19	19	NUM
ejpam-6890	235	60	)	)	PUNCT
ejpam-6890	235	61	with	with	ADP
ejpam-6890	235	62	initial	initial	ADJ
ejpam-6890	235	63	conditions(ics	conditions(ic	NOUN
ejpam-6890	235	64	)	)	PUNCT
ejpam-6890	235	65	u(ε	u(ε	PROPN
ejpam-6890	235	66	,	,	PUNCT
ejpam-6890	235	67	0	0	NUM
ejpam-6890	235	68	)	)	PUNCT
ejpam-6890	235	69	=	=	SYM
ejpam-6890	235	70	−eε	−eε	NOUN
ejpam-6890	235	71	,	,	PUNCT
ejpam-6890	235	72	and	and	CCONJ
ejpam-6890	235	73	boundary	boundary	ADJ
ejpam-6890	235	74	conditions(bcs	conditions(bc	NOUN
ejpam-6890	235	75	)	)	PUNCT
ejpam-6890	235	76	u	u	NOUN
ejpam-6890	235	77	(	(	PUNCT
ejpam-6890	235	78	0	0	NUM
ejpam-6890	235	79	,	,	PUNCT
ejpam-6890	235	80	ζ	ζ	NOUN
ejpam-6890	235	81	)	)	PUNCT
ejpam-6890	235	82	=	=	SYM
ejpam-6890	236	1	2ζ	2ζ	NUM
ejpam-6890	236	2	−	−	NUM
ejpam-6890	236	3	1	1	NUM
ejpam-6890	236	4	,	,	PUNCT
ejpam-6890	236	5	uε	uε	PROPN
ejpam-6890	236	6	(	(	PUNCT
ejpam-6890	236	7	0	0	NUM
ejpam-6890	236	8	,	,	PUNCT
ejpam-6890	236	9	ζ	ζ	NOUN
ejpam-6890	236	10	)	)	PUNCT
ejpam-6890	236	11	=	=	PUNCT
ejpam-6890	236	12	−1	−1	NOUN
ejpam-6890	236	13	.	.	PUNCT
ejpam-6890	237	1	solution	solution	NOUN
ejpam-6890	237	2	1	1	NUM
ejpam-6890	237	3	.	.	PUNCT
ejpam-6890	237	4	by	by	ADP
ejpam-6890	237	5	applying	apply	VERB
ejpam-6890	237	6	the	the	DET
ejpam-6890	237	7	single	single	ADJ
ejpam-6890	237	8	sawi	sawi	ADJ
ejpam-6890	237	9	transform	transform	NOUN
ejpam-6890	237	10	to	to	ADP
ejpam-6890	237	11	the	the	DET
ejpam-6890	237	12	ics	ic	NOUN
ejpam-6890	237	13	and	and	CCONJ
ejpam-6890	237	14	the	the	DET
ejpam-6890	237	15	single	single	ADJ
ejpam-6890	237	16	shehu	shehu	NOUN
ejpam-6890	237	17	transform	transform	VERB
ejpam-6890	237	18	to	to	ADP
ejpam-6890	237	19	the	the	DET
ejpam-6890	237	20	bcs	bc	NOUN
ejpam-6890	237	21	,	,	PUNCT
ejpam-6890	237	22	we	we	PRON
ejpam-6890	237	23	get	get	VERB
ejpam-6890	237	24	w	w	ADP
ejpam-6890	237	25	(	(	PUNCT
ejpam-6890	237	26	u(ε	u(ε	PROPN
ejpam-6890	237	27	,	,	PUNCT
ejpam-6890	237	28	0	0	NUM
ejpam-6890	237	29	)	)	PUNCT
ejpam-6890	237	30	)	)	PUNCT
ejpam-6890	238	1	=	=	SYM
ejpam-6890	238	2	−1	−1	NOUN
ejpam-6890	238	3	σ(1−σ	σ(1−σ	ADJ
ejpam-6890	238	4	)	)	PUNCT
ejpam-6890	238	5	,	,	PUNCT
ejpam-6890	238	6	h	h	NOUN
ejpam-6890	238	7	(	(	PUNCT
ejpam-6890	238	8	u	u	NOUN
ejpam-6890	238	9	(	(	PUNCT
ejpam-6890	238	10	0	0	NUM
ejpam-6890	238	11	,	,	PUNCT
ejpam-6890	238	12	ζ	ζ	NOUN
ejpam-6890	238	13	)	)	PUNCT
ejpam-6890	238	14	)	)	PUNCT
ejpam-6890	239	1	=	=	SYM
ejpam-6890	239	2	2δ2	2δ2	NUM
ejpam-6890	239	3	ϕ2	ϕ2	ADV
ejpam-6890	239	4	−	−	PROPN
ejpam-6890	239	5	δ	δ	PROPN
ejpam-6890	239	6	ϕ	ϕ	PROPN
ejpam-6890	239	7	,	,	PUNCT
ejpam-6890	239	8	h	h	PROPN
ejpam-6890	239	9	(	(	PUNCT
ejpam-6890	239	10	uε	uε	PROPN
ejpam-6890	239	11	(	(	PUNCT
ejpam-6890	239	12	0	0	NUM
ejpam-6890	239	13	,	,	PUNCT
ejpam-6890	239	14	ζ	ζ	NOUN
ejpam-6890	239	15	)	)	PUNCT
ejpam-6890	239	16	)	)	PUNCT
ejpam-6890	240	1	=	=	PUNCT
ejpam-6890	240	2	−	−	PROPN
ejpam-6890	240	3	δ	δ	PROPN
ejpam-6890	240	4	ϕ	ϕ	PROPN
ejpam-6890	240	5	.	.	PUNCT
ejpam-6890	241	1	apply	apply	VERB
ejpam-6890	241	2	the	the	DET
ejpam-6890	241	3	dsw	dsw	NOUN
ejpam-6890	241	4	-	-	PUNCT
ejpam-6890	241	5	sht	sht	NOUN
ejpam-6890	241	6	to	to	ADP
ejpam-6890	241	7	equation	equation	NOUN
ejpam-6890	241	8	19	19	NUM
ejpam-6890	241	9	,	,	PUNCT
ejpam-6890	241	10	we	we	PRON
ejpam-6890	241	11	get	get	VERB
ejpam-6890	241	12	ϕ	ϕ	PROPN
ejpam-6890	241	13	δ	δ	PROPN
ejpam-6890	241	14	u(σ	u(σ	PROPN
ejpam-6890	241	15	,	,	PUNCT
ejpam-6890	241	16	ϕ	ϕ	PROPN
ejpam-6890	241	17	,	,	PUNCT
ejpam-6890	241	18	δ)−w	δ)−w	PROPN
ejpam-6890	241	19	(	(	PUNCT
ejpam-6890	241	20	u(ε	u(ε	PROPN
ejpam-6890	241	21	,	,	PUNCT
ejpam-6890	241	22	0	0	NUM
ejpam-6890	241	23	)	)	PUNCT
ejpam-6890	241	24	)	)	PUNCT
ejpam-6890	242	1	+	+	CCONJ
ejpam-6890	242	2	u(σ	u(σ	PROPN
ejpam-6890	242	3	,	,	PUNCT
ejpam-6890	242	4	ϕ	ϕ	PROPN
ejpam-6890	242	5	,	,	PUNCT
ejpam-6890	242	6	δ	δ	PROPN
ejpam-6890	242	7	)	)	PUNCT
ejpam-6890	242	8	σ2	σ2	PROPN
ejpam-6890	242	9	m.	m.	PROPN
ejpam-6890	242	10	al	al	PROPN
ejpam-6890	242	11	-	-	PUNCT
ejpam-6890	242	12	momani	momani	X
ejpam-6890	242	13	et	et	PROPN
ejpam-6890	242	14	al	al	PROPN
ejpam-6890	242	15	.	.	PUNCT
ejpam-6890	242	16	/	/	SYM
ejpam-6890	242	17	eur	eur	PROPN
ejpam-6890	242	18	.	.	PUNCT
ejpam-6890	243	1	j.	j.	PROPN
ejpam-6890	243	2	pure	pure	PROPN
ejpam-6890	243	3	appl	appl	PROPN
ejpam-6890	243	4	.	.	PROPN
ejpam-6890	243	5	math	math	PROPN
ejpam-6890	243	6	,	,	PUNCT
ejpam-6890	243	7	18	18	NUM
ejpam-6890	243	8	(	(	PUNCT
ejpam-6890	243	9	4	4	NUM
ejpam-6890	243	10	)	)	PUNCT
ejpam-6890	243	11	(	(	PUNCT
ejpam-6890	243	12	2025	2025	NUM
ejpam-6890	243	13	)	)	PUNCT
ejpam-6890	243	14	,	,	PUNCT
ejpam-6890	243	15	6890	6890	NUM
ejpam-6890	243	16	10	10	NUM
ejpam-6890	243	17	of	of	ADP
ejpam-6890	243	18	15	15	NUM
ejpam-6890	243	19	−h(u(0	−h(u(0	NOUN
ejpam-6890	243	20	,	,	PUNCT
ejpam-6890	243	21	ζ	ζ	NOUN
ejpam-6890	243	22	)	)	PUNCT
ejpam-6890	243	23	)	)	PUNCT
ejpam-6890	243	24	σ3	σ3	PROPN
ejpam-6890	243	25	−	−	PROPN
ejpam-6890	243	26	h(uε(0	h(uε(0	PROPN
ejpam-6890	243	27	,	,	PUNCT
ejpam-6890	243	28	ζ	ζ	NOUN
ejpam-6890	243	29	)	)	PUNCT
ejpam-6890	243	30	)	)	PUNCT
ejpam-6890	243	31	σ2	σ2	NOUN
ejpam-6890	243	32	=	=	SYM
ejpam-6890	244	1	u(σ	u(σ	PROPN
ejpam-6890	244	2	,	,	PUNCT
ejpam-6890	244	3	ϕ	ϕ	PROPN
ejpam-6890	244	4	,	,	PUNCT
ejpam-6890	244	5	δ	δ	PROPN
ejpam-6890	244	6	)	)	PUNCT
ejpam-6890	244	7	σ	σ	PROPN
ejpam-6890	245	1	−	−	PROPN
ejpam-6890	245	2	h(u(0	h(u(0	PROPN
ejpam-6890	245	3	,	,	PUNCT
ejpam-6890	245	4	ζ	ζ	NOUN
ejpam-6890	245	5	)	)	PUNCT
ejpam-6890	245	6	)	)	PUNCT
ejpam-6890	245	7	σ2	σ2	NOUN
ejpam-6890	245	8	+	+	CCONJ
ejpam-6890	245	9	2δ	2δ	NUM
ejpam-6890	245	10	σϕ	σϕ	VERB
ejpam-6890	245	11	.	.	PUNCT
ejpam-6890	246	1	so	so	ADV
ejpam-6890	246	2	,	,	PUNCT
ejpam-6890	246	3	σ2ϕ+	σ2ϕ+	ADP
ejpam-6890	246	4	δ	δ	PROPN
ejpam-6890	246	5	−	−	PROPN
ejpam-6890	247	1	σδ	σδ	ADP
ejpam-6890	247	2	σ2δ	σ2δ	PROPN
ejpam-6890	247	3	×	×	PROPN
ejpam-6890	247	4	u(σ	u(σ	PROPN
ejpam-6890	247	5	,	,	PUNCT
ejpam-6890	247	6	ϕ	ϕ	PROPN
ejpam-6890	247	7	,	,	PUNCT
ejpam-6890	247	8	δ	δ	PROPN
ejpam-6890	247	9	)	)	PUNCT
ejpam-6890	247	10	=	=	SYM
ejpam-6890	247	11	−1	−1	NOUN
ejpam-6890	247	12	σ	σ	PROPN
ejpam-6890	247	13	(	(	PUNCT
ejpam-6890	247	14	1−	1−	NUM
ejpam-6890	247	15	σ	σ	NUM
ejpam-6890	247	16	)	)	PUNCT
ejpam-6890	247	17	+	+	CCONJ
ejpam-6890	247	18	1	1	NUM
ejpam-6890	247	19	σ3	σ3	NOUN
ejpam-6890	247	20	×	×	NOUN
ejpam-6890	247	21	(	(	PUNCT
ejpam-6890	247	22	2δ2	2δ2	NUM
ejpam-6890	248	1	ϕ2	ϕ2	ADV
ejpam-6890	248	2	−	−	PROPN
ejpam-6890	248	3	δ	δ	PROPN
ejpam-6890	248	4	ϕ	ϕ	PROPN
ejpam-6890	248	5	)	)	PUNCT
ejpam-6890	249	1	−	−	PROPN
ejpam-6890	249	2	δ2	δ2	VERB
ejpam-6890	249	3	ϕ	ϕ	NOUN
ejpam-6890	249	4	−	−	PROPN
ejpam-6890	249	5	1	1	NUM
ejpam-6890	249	6	σ2	σ2	PROPN
ejpam-6890	249	7	×	×	NOUN
ejpam-6890	249	8	(	(	PUNCT
ejpam-6890	249	9	2δ2	2δ2	NUM
ejpam-6890	249	10	ϕ2	ϕ2	ADV
ejpam-6890	249	11	−	−	PROPN
ejpam-6890	249	12	δ	δ	PROPN
ejpam-6890	249	13	ϕ	ϕ	PROPN
ejpam-6890	249	14	)	)	PUNCT
ejpam-6890	250	1	+	+	NUM
ejpam-6890	250	2	2δ	2δ	NUM
ejpam-6890	250	3	σϕ	σϕ	VERB
ejpam-6890	250	4	.	.	PUNCT
ejpam-6890	251	1	by	by	ADP
ejpam-6890	251	2	simplifying	simplify	VERB
ejpam-6890	251	3	,	,	PUNCT
ejpam-6890	251	4	we	we	PRON
ejpam-6890	251	5	get	get	VERB
ejpam-6890	251	6	,	,	PUNCT
ejpam-6890	251	7	u(σ	u(σ	PROPN
ejpam-6890	251	8	,	,	PUNCT
ejpam-6890	251	9	ϕ	ϕ	PROPN
ejpam-6890	251	10	,	,	PUNCT
ejpam-6890	251	11	δ	δ	PROPN
ejpam-6890	251	12	)	)	PUNCT
ejpam-6890	252	1	=	=	SYM
ejpam-6890	252	2	2δ2	2δ2	NUM
ejpam-6890	252	3	σϕ2	σϕ2	VERB
ejpam-6890	252	4	−	−	PROPN
ejpam-6890	252	5	δ	δ	PROPN
ejpam-6890	252	6	σ	σ	PROPN
ejpam-6890	252	7	(	(	PUNCT
ejpam-6890	252	8	1−	1−	NUM
ejpam-6890	252	9	σ)ϕ	σ)ϕ	X
ejpam-6890	252	10	.	.	PUNCT
ejpam-6890	253	1	therefore	therefore	ADV
ejpam-6890	253	2	,	,	PUNCT
ejpam-6890	253	3	u(ε	u(ε	PRON
ejpam-6890	253	4	,	,	PUNCT
ejpam-6890	253	5	ζ	ζ	NOUN
ejpam-6890	253	6	)	)	PUNCT
ejpam-6890	253	7	=	=	PUNCT
ejpam-6890	253	8	w−1	w−1	PROPN
ejpam-6890	253	9	ε	ε	PROPN
ejpam-6890	253	10	h−1	h−1	PROPN
ejpam-6890	253	11	ζ	ζ	PROPN
ejpam-6890	253	12	(	(	PUNCT
ejpam-6890	253	13	2δ2	2δ2	NUM
ejpam-6890	253	14	σϕ2	σϕ2	VERB
ejpam-6890	253	15	−	−	PROPN
ejpam-6890	253	16	δ	δ	PROPN
ejpam-6890	253	17	σ	σ	PROPN
ejpam-6890	253	18	(	(	PUNCT
ejpam-6890	253	19	1−	1−	NUM
ejpam-6890	253	20	σ)ϕ	σ)ϕ	X
ejpam-6890	253	21	)	)	PUNCT
ejpam-6890	254	1	=	=	SYM
ejpam-6890	254	2	2ζ	2ζ	NUM
ejpam-6890	255	1	−	−	NOUN
ejpam-6890	255	2	eε	eε	PROPN
ejpam-6890	255	3	.	.	PUNCT
ejpam-6890	256	1	its	its	PRON
ejpam-6890	256	2	graph	graph	NOUN
ejpam-6890	256	3	is	be	AUX
ejpam-6890	256	4	figure	figure	NOUN
ejpam-6890	256	5	1	1	NUM
ejpam-6890	256	6	:	:	PUNCT
ejpam-6890	256	7	the	the	DET
ejpam-6890	256	8	solution	solution	NOUN
ejpam-6890	256	9	of	of	ADP
ejpam-6890	256	10	example	example	NOUN
ejpam-6890	256	11	1	1	NUM
ejpam-6890	256	12	m.	m.	NOUN
ejpam-6890	256	13	al	al	PROPN
ejpam-6890	256	14	-	-	PUNCT
ejpam-6890	256	15	momani	momani	X
ejpam-6890	256	16	et	et	PROPN
ejpam-6890	256	17	al	al	PROPN
ejpam-6890	256	18	.	.	PUNCT
ejpam-6890	256	19	/	/	SYM
ejpam-6890	256	20	eur	eur	PROPN
ejpam-6890	256	21	.	.	PUNCT
ejpam-6890	257	1	j.	j.	PROPN
ejpam-6890	257	2	pure	pure	PROPN
ejpam-6890	257	3	appl	appl	PROPN
ejpam-6890	257	4	.	.	PROPN
ejpam-6890	257	5	math	math	PROPN
ejpam-6890	257	6	,	,	PUNCT
ejpam-6890	257	7	18	18	NUM
ejpam-6890	257	8	(	(	PUNCT
ejpam-6890	257	9	4	4	NUM
ejpam-6890	257	10	)	)	PUNCT
ejpam-6890	257	11	(	(	PUNCT
ejpam-6890	257	12	2025	2025	NUM
ejpam-6890	257	13	)	)	PUNCT
ejpam-6890	257	14	,	,	PUNCT
ejpam-6890	257	15	6890	6890	NUM
ejpam-6890	257	16	11	11	NUM
ejpam-6890	257	17	of	of	ADP
ejpam-6890	257	18	15	15	NUM
ejpam-6890	257	19	example	example	NOUN
ejpam-6890	257	20	2	2	NUM
ejpam-6890	257	21	.	.	X
ejpam-6890	257	22	consider	consider	VERB
ejpam-6890	257	23	the	the	DET
ejpam-6890	257	24	telegraph	telegraph	NOUN
ejpam-6890	257	25	equation	equation	NOUN
ejpam-6890	257	26	uεε	uεε	VERB
ejpam-6890	257	27	−	−	PROPN
ejpam-6890	257	28	uε	uε	NOUN
ejpam-6890	258	1	+	+	CCONJ
ejpam-6890	258	2	uζζ	uζζ	PRON
ejpam-6890	258	3	=	=	SYM
ejpam-6890	258	4	u(ε	u(ε	PROPN
ejpam-6890	258	5	,	,	PUNCT
ejpam-6890	258	6	ζ	ζ	NOUN
ejpam-6890	258	7	)	)	PUNCT
ejpam-6890	258	8	,	,	PUNCT
ejpam-6890	258	9	where	where	SCONJ
ejpam-6890	258	10	ε	ε	PROPN
ejpam-6890	258	11	,	,	PUNCT
ejpam-6890	258	12	ζ	ζ	X
ejpam-6890	258	13	≥	≥	NOUN
ejpam-6890	258	14	0	0	NUM
ejpam-6890	258	15	,	,	PUNCT
ejpam-6890	258	16	(	(	PUNCT
ejpam-6890	258	17	20	20	NUM
ejpam-6890	258	18	)	)	PUNCT
ejpam-6890	258	19	with	with	ADP
ejpam-6890	258	20	ics	ics	PROPN
ejpam-6890	258	21	u(ε	u(ε	PROPN
ejpam-6890	258	22	,	,	PUNCT
ejpam-6890	258	23	0	0	NUM
ejpam-6890	258	24	)	)	PUNCT
ejpam-6890	258	25	=	=	SYM
ejpam-6890	258	26	0	0	NUM
ejpam-6890	258	27	,	,	PUNCT
ejpam-6890	258	28	uζ(ε	uζ(ε	SYM
ejpam-6890	258	29	,	,	PUNCT
ejpam-6890	258	30	0	0	NUM
ejpam-6890	258	31	)	)	PUNCT
ejpam-6890	258	32	=	=	SYM
ejpam-6890	258	33	e2ε	e2ε	NOUN
ejpam-6890	258	34	,	,	PUNCT
ejpam-6890	258	35	and	and	CCONJ
ejpam-6890	258	36	bcs	bcs	NOUN
ejpam-6890	258	37	u	u	PROPN
ejpam-6890	258	38	(	(	PUNCT
ejpam-6890	258	39	0	0	NUM
ejpam-6890	258	40	,	,	PUNCT
ejpam-6890	258	41	ζ	ζ	NOUN
ejpam-6890	258	42	)	)	PUNCT
ejpam-6890	258	43	=	=	PUNCT
ejpam-6890	258	44	sin	sin	NOUN
ejpam-6890	258	45	ζ	ζ	PROPN
ejpam-6890	258	46	,	,	PUNCT
ejpam-6890	258	47	uε	uε	PROPN
ejpam-6890	258	48	(	(	PUNCT
ejpam-6890	258	49	0	0	NUM
ejpam-6890	258	50	,	,	PUNCT
ejpam-6890	258	51	ζ	ζ	NOUN
ejpam-6890	258	52	)	)	PUNCT
ejpam-6890	258	53	=	=	SYM
ejpam-6890	258	54	2	2	NUM
ejpam-6890	258	55	sin	sin	NOUN
ejpam-6890	258	56	ζ	ζ	NOUN
ejpam-6890	258	57	.	.	PUNCT
ejpam-6890	258	58	solution	solution	NOUN
ejpam-6890	258	59	2	2	NUM
ejpam-6890	258	60	.	.	PUNCT
ejpam-6890	259	1	by	by	ADP
ejpam-6890	259	2	applying	apply	VERB
ejpam-6890	259	3	the	the	DET
ejpam-6890	259	4	single	single	ADJ
ejpam-6890	259	5	sawi	sawi	ADJ
ejpam-6890	259	6	transform	transform	NOUN
ejpam-6890	259	7	and	and	CCONJ
ejpam-6890	259	8	the	the	DET
ejpam-6890	259	9	single	single	ADJ
ejpam-6890	259	10	shehu	shehu	NOUN
ejpam-6890	259	11	transform	transform	VERB
ejpam-6890	259	12	to	to	ADP
ejpam-6890	259	13	the	the	DET
ejpam-6890	259	14	ics	ic	NOUN
ejpam-6890	259	15	,	,	PUNCT
ejpam-6890	259	16	we	we	PRON
ejpam-6890	259	17	get	get	VERB
ejpam-6890	259	18	w	w	ADP
ejpam-6890	259	19	(	(	PUNCT
ejpam-6890	259	20	u(ε	u(ε	PROPN
ejpam-6890	259	21	,	,	PUNCT
ejpam-6890	259	22	0	0	NUM
ejpam-6890	259	23	)	)	PUNCT
ejpam-6890	259	24	)	)	PUNCT
ejpam-6890	260	1	=	=	SYM
ejpam-6890	260	2	0	0	NUM
ejpam-6890	260	3	,	,	PUNCT
ejpam-6890	260	4	w	w	X
ejpam-6890	260	5	(	(	PUNCT
ejpam-6890	260	6	uζ(ε	uζ(ε	NOUN
ejpam-6890	260	7	,	,	PUNCT
ejpam-6890	260	8	0	0	NUM
ejpam-6890	260	9	)	)	PUNCT
ejpam-6890	260	10	)	)	PUNCT
ejpam-6890	261	1	=	=	SYM
ejpam-6890	261	2	1	1	NUM
ejpam-6890	261	3	σ(1−2σ	σ(1−2σ	NOUN
ejpam-6890	261	4	)	)	PUNCT
ejpam-6890	261	5	,	,	PUNCT
ejpam-6890	261	6	h	h	NOUN
ejpam-6890	261	7	(	(	PUNCT
ejpam-6890	261	8	u	u	NOUN
ejpam-6890	261	9	(	(	PUNCT
ejpam-6890	261	10	0	0	NUM
ejpam-6890	261	11	,	,	PUNCT
ejpam-6890	261	12	ζ	ζ	NOUN
ejpam-6890	261	13	)	)	PUNCT
ejpam-6890	261	14	)	)	PUNCT
ejpam-6890	262	1	=	=	SYM
ejpam-6890	262	2	δ2	δ2	PROPN
ejpam-6890	262	3	ϕ2+δ2	ϕ2+δ2	PROPN
ejpam-6890	262	4	,	,	PUNCT
ejpam-6890	262	5	h	h	PROPN
ejpam-6890	262	6	(	(	PUNCT
ejpam-6890	262	7	uε	uε	PROPN
ejpam-6890	262	8	(	(	PUNCT
ejpam-6890	262	9	0	0	NUM
ejpam-6890	262	10	,	,	PUNCT
ejpam-6890	262	11	ζ	ζ	NOUN
ejpam-6890	262	12	)	)	PUNCT
ejpam-6890	262	13	)	)	PUNCT
ejpam-6890	263	1	=	=	SYM
ejpam-6890	264	1	2δ2	2δ2	NUM
ejpam-6890	265	1	ϕ2+δ2	ϕ2+δ2	PROPN
ejpam-6890	265	2	.	.	PUNCT
ejpam-6890	265	3	apply	apply	VERB
ejpam-6890	265	4	the	the	DET
ejpam-6890	265	5	dsw	dsw	NOUN
ejpam-6890	265	6	-	-	PUNCT
ejpam-6890	265	7	sht	sht	NOUN
ejpam-6890	265	8	to	to	ADP
ejpam-6890	265	9	equation	equation	NOUN
ejpam-6890	265	10	20	20	NUM
ejpam-6890	265	11	,	,	PUNCT
ejpam-6890	265	12	we	we	PRON
ejpam-6890	265	13	get	get	VERB
ejpam-6890	266	1	u(σ	u(σ	PROPN
ejpam-6890	266	2	,	,	PUNCT
ejpam-6890	266	3	ϕ	ϕ	PROPN
ejpam-6890	266	4	,	,	PUNCT
ejpam-6890	266	5	δ	δ	PROPN
ejpam-6890	266	6	)	)	PUNCT
ejpam-6890	266	7	σ2	σ2	PROPN
ejpam-6890	266	8	−	−	PROPN
ejpam-6890	266	9	h(u(0	h(u(0	PROPN
ejpam-6890	266	10	,	,	PUNCT
ejpam-6890	266	11	ζ	ζ	NOUN
ejpam-6890	266	12	)	)	PUNCT
ejpam-6890	266	13	)	)	PUNCT
ejpam-6890	266	14	σ3	σ3	PROPN
ejpam-6890	266	15	−	−	PROPN
ejpam-6890	266	16	h(uε(0	h(uε(0	PROPN
ejpam-6890	266	17	,	,	PUNCT
ejpam-6890	266	18	ζ	ζ	NOUN
ejpam-6890	266	19	)	)	PUNCT
ejpam-6890	266	20	)	)	PUNCT
ejpam-6890	266	21	σ2	σ2	NOUN
ejpam-6890	266	22	−	−	PROPN
ejpam-6890	266	23	u(σ	u(σ	PROPN
ejpam-6890	266	24	,	,	PUNCT
ejpam-6890	266	25	ϕ	ϕ	PROPN
ejpam-6890	266	26	,	,	PUNCT
ejpam-6890	266	27	δ	δ	PROPN
ejpam-6890	266	28	)	)	PUNCT
ejpam-6890	266	29	σ	σ	PROPN
ejpam-6890	267	1	+	+	PROPN
ejpam-6890	267	2	h(u(0	h(u(0	PROPN
ejpam-6890	267	3	,	,	PUNCT
ejpam-6890	267	4	ζ	ζ	NOUN
ejpam-6890	267	5	)	)	PUNCT
ejpam-6890	267	6	)	)	PUNCT
ejpam-6890	267	7	σ2	σ2	NOUN
ejpam-6890	267	8	+	+	CCONJ
ejpam-6890	267	9	ϕ2	ϕ2	ADV
ejpam-6890	267	10	δ2	δ2	VERB
ejpam-6890	267	11	u(σ	u(σ	PROPN
ejpam-6890	267	12	,	,	PUNCT
ejpam-6890	267	13	ϕ	ϕ	NOUN
ejpam-6890	267	14	,	,	PUNCT
ejpam-6890	267	15	δ)−	δ)−	PROPN
ejpam-6890	267	16	ϕ	ϕ	PROPN
ejpam-6890	267	17	δ	δ	PROPN
ejpam-6890	267	18	w	w	PROPN
ejpam-6890	267	19	(	(	PUNCT
ejpam-6890	267	20	u(ε	u(ε	PROPN
ejpam-6890	267	21	,	,	PUNCT
ejpam-6890	267	22	0	0	NUM
ejpam-6890	267	23	)	)	PUNCT
ejpam-6890	267	24	)	)	PUNCT
ejpam-6890	267	25	−w	−w	ADV
ejpam-6890	267	26	(	(	PUNCT
ejpam-6890	267	27	uζ(ε	uζ(ε	NOUN
ejpam-6890	267	28	,	,	PUNCT
ejpam-6890	267	29	0	0	NUM
ejpam-6890	267	30	)	)	PUNCT
ejpam-6890	267	31	)	)	PUNCT
ejpam-6890	268	1	=	=	PUNCT
ejpam-6890	268	2	u.	u.	VERB
ejpam-6890	269	1	so	so	ADV
ejpam-6890	269	2	,	,	PUNCT
ejpam-6890	269	3	δ2	δ2	ADJ
ejpam-6890	269	4	−	−	ADP
ejpam-6890	269	5	σδ2	σδ2	NOUN
ejpam-6890	269	6	+	+	CCONJ
ejpam-6890	269	7	σ2ϕ2	σ2ϕ2	NOUN
ejpam-6890	269	8	−	−	PROPN
ejpam-6890	269	9	σ2δ2	σ2δ2	PROPN
ejpam-6890	269	10	σ2δ2	σ2δ2	PROPN
ejpam-6890	270	1	×	×	PROPN
ejpam-6890	270	2	u(σ	u(σ	PROPN
ejpam-6890	270	3	,	,	PUNCT
ejpam-6890	270	4	ϕ	ϕ	PROPN
ejpam-6890	270	5	,	,	PUNCT
ejpam-6890	270	6	δ	δ	PROPN
ejpam-6890	270	7	)	)	PUNCT
ejpam-6890	271	1	=	=	PROPN
ejpam-6890	271	2	δ2	δ2	VERB
ejpam-6890	271	3	σ3	σ3	NOUN
ejpam-6890	271	4	(	(	PUNCT
ejpam-6890	271	5	ϕ2	ϕ2	ADV
ejpam-6890	271	6	+	+	CCONJ
ejpam-6890	271	7	δ2	δ2	ADJ
ejpam-6890	271	8	)	)	PUNCT
ejpam-6890	271	9	+	+	CCONJ
ejpam-6890	271	10	δ2	δ2	VERB
ejpam-6890	271	11	σ2	σ2	NOUN
ejpam-6890	271	12	(	(	PUNCT
ejpam-6890	271	13	ϕ2	ϕ2	ADV
ejpam-6890	271	14	+	+	CCONJ
ejpam-6890	271	15	δ2	δ2	ADJ
ejpam-6890	271	16	)	)	PUNCT
ejpam-6890	271	17	+	+	CCONJ
ejpam-6890	271	18	1	1	NUM
ejpam-6890	271	19	σ	σ	NOUN
ejpam-6890	271	20	(	(	PUNCT
ejpam-6890	271	21	1−	1−	NUM
ejpam-6890	271	22	2σ	2σ	NUM
ejpam-6890	271	23	)	)	PUNCT
ejpam-6890	271	24	.	.	PUNCT
ejpam-6890	272	1	by	by	ADP
ejpam-6890	272	2	simplifying	simplify	VERB
ejpam-6890	272	3	,	,	PUNCT
ejpam-6890	272	4	we	we	PRON
ejpam-6890	272	5	get	get	VERB
ejpam-6890	272	6	,	,	PUNCT
ejpam-6890	272	7	u(σ	u(σ	PROPN
ejpam-6890	272	8	,	,	PUNCT
ejpam-6890	272	9	ϕ	ϕ	PROPN
ejpam-6890	272	10	,	,	PUNCT
ejpam-6890	272	11	δ	δ	PROPN
ejpam-6890	272	12	)	)	PUNCT
ejpam-6890	273	1	=	=	SYM
ejpam-6890	273	2	δ2	δ2	VERB
ejpam-6890	273	3	σ	σ	PROPN
ejpam-6890	273	4	(	(	PUNCT
ejpam-6890	273	5	1−	1−	NUM
ejpam-6890	273	6	2σ	2σ	NUM
ejpam-6890	273	7	)	)	PUNCT
ejpam-6890	273	8	(	(	PUNCT
ejpam-6890	273	9	ϕ2	ϕ2	ADV
ejpam-6890	273	10	+	+	CCONJ
ejpam-6890	273	11	δ2	δ2	ADJ
ejpam-6890	273	12	)	)	PUNCT
ejpam-6890	273	13	.	.	PUNCT
ejpam-6890	274	1	therefore	therefore	ADV
ejpam-6890	274	2	,	,	PUNCT
ejpam-6890	274	3	u(ε	u(ε	PRON
ejpam-6890	274	4	,	,	PUNCT
ejpam-6890	274	5	ζ	ζ	NOUN
ejpam-6890	274	6	)	)	PUNCT
ejpam-6890	274	7	=	=	PUNCT
ejpam-6890	274	8	w−1	w−1	PROPN
ejpam-6890	274	9	ε	ε	PROPN
ejpam-6890	274	10	h−1	h−1	PROPN
ejpam-6890	274	11	ζ	ζ	PROPN
ejpam-6890	274	12	(	(	PUNCT
ejpam-6890	274	13	δ2	δ2	PROPN
ejpam-6890	274	14	σ	σ	PROPN
ejpam-6890	274	15	(	(	PUNCT
ejpam-6890	274	16	1−	1−	NUM
ejpam-6890	274	17	2σ	2σ	NUM
ejpam-6890	274	18	)	)	PUNCT
ejpam-6890	274	19	(	(	PUNCT
ejpam-6890	274	20	ϕ2	ϕ2	ADV
ejpam-6890	274	21	+	+	CCONJ
ejpam-6890	274	22	δ2	δ2	ADJ
ejpam-6890	274	23	)	)	PUNCT
ejpam-6890	274	24	)	)	PUNCT
ejpam-6890	275	1	=	=	PUNCT
ejpam-6890	275	2	e2ε	e2ε	NOUN
ejpam-6890	275	3	sin	sin	VERB
ejpam-6890	275	4	ζ	ζ	NOUN
ejpam-6890	275	5	.	.	PUNCT
ejpam-6890	276	1	its	its	PRON
ejpam-6890	276	2	graph	graph	NOUN
ejpam-6890	276	3	is	be	AUX
ejpam-6890	276	4	m.	m.	NOUN
ejpam-6890	276	5	al	al	PROPN
ejpam-6890	276	6	-	-	PUNCT
ejpam-6890	276	7	momani	momani	X
ejpam-6890	276	8	et	et	PROPN
ejpam-6890	276	9	al	al	PROPN
ejpam-6890	276	10	.	.	PUNCT
ejpam-6890	276	11	/	/	SYM
ejpam-6890	276	12	eur	eur	PROPN
ejpam-6890	276	13	.	.	PUNCT
ejpam-6890	277	1	j.	j.	PROPN
ejpam-6890	277	2	pure	pure	PROPN
ejpam-6890	277	3	appl	appl	PROPN
ejpam-6890	277	4	.	.	PROPN
ejpam-6890	277	5	math	math	PROPN
ejpam-6890	277	6	,	,	PUNCT
ejpam-6890	277	7	18	18	NUM
ejpam-6890	277	8	(	(	PUNCT
ejpam-6890	277	9	4	4	NUM
ejpam-6890	277	10	)	)	PUNCT
ejpam-6890	277	11	(	(	PUNCT
ejpam-6890	277	12	2025	2025	NUM
ejpam-6890	277	13	)	)	PUNCT
ejpam-6890	277	14	,	,	PUNCT
ejpam-6890	277	15	6890	6890	NUM
ejpam-6890	277	16	12	12	NUM
ejpam-6890	277	17	of	of	ADP
ejpam-6890	277	18	15	15	NUM
ejpam-6890	277	19	figure	figure	NOUN
ejpam-6890	277	20	2	2	NUM
ejpam-6890	277	21	:	:	PUNCT
ejpam-6890	277	22	the	the	DET
ejpam-6890	277	23	solution	solution	NOUN
ejpam-6890	277	24	of	of	ADP
ejpam-6890	277	25	example	example	NOUN
ejpam-6890	277	26	2	2	NUM
ejpam-6890	277	27	example	example	NOUN
ejpam-6890	277	28	3	3	NUM
ejpam-6890	277	29	.	.	X
ejpam-6890	277	30	consider	consider	VERB
ejpam-6890	277	31	the	the	DET
ejpam-6890	277	32	equation	equation	NOUN
ejpam-6890	277	33	of	of	ADP
ejpam-6890	277	34	volterra	volterra	PROPN
ejpam-6890	277	35	integro	integro	PROPN
ejpam-6890	277	36	pde	pde	PROPN
ejpam-6890	277	37	.	.	PUNCT
ejpam-6890	278	1	uε	uε	PROPN
ejpam-6890	279	1	+	+	CCONJ
ejpam-6890	279	2	uζ	uζ	PROPN
ejpam-6890	279	3	−	−	PROPN
ejpam-6890	279	4	cosh	cosh	PROPN
ejpam-6890	279	5	ε	ε	PROPN
ejpam-6890	279	6	cos	cos	PROPN
ejpam-6890	279	7	ζ	ζ	PROPN
ejpam-6890	279	8	+	+	X
ejpam-6890	279	9	eε	eε	AUX
ejpam-6890	279	10	sin	sin	VERB
ejpam-6890	279	11	ζ	ζ	NOUN
ejpam-6890	279	12	−	−	PROPN
ejpam-6890	279	13	sin	sin	NOUN
ejpam-6890	279	14	ζ	ζ	NOUN
ejpam-6890	279	15	=	=	SYM
ejpam-6890	279	16	ε∫	ε∫	NOUN
ejpam-6890	279	17	0	0	NUM
ejpam-6890	279	18	ζ∫	ζ∫	NOUN
ejpam-6890	279	19	0	0	NUM
ejpam-6890	279	20	u(γ	u(γ	PROPN
ejpam-6890	279	21	,	,	PUNCT
ejpam-6890	279	22	δ))dγdδ	δ))dγdδ	PROPN
ejpam-6890	279	23	,	,	PUNCT
ejpam-6890	279	24	where	where	SCONJ
ejpam-6890	279	25	ε	ε	PROPN
ejpam-6890	279	26	,	,	PUNCT
ejpam-6890	279	27	ζ	ζ	X
ejpam-6890	279	28	≥	≥	NOUN
ejpam-6890	279	29	0	0	NUM
ejpam-6890	279	30	,	,	PUNCT
ejpam-6890	279	31	(	(	PUNCT
ejpam-6890	279	32	21	21	NUM
ejpam-6890	279	33	)	)	PUNCT
ejpam-6890	279	34	with	with	ADP
ejpam-6890	279	35	ics	ics	PROPN
ejpam-6890	279	36	u(ε	u(ε	PROPN
ejpam-6890	279	37	,	,	PUNCT
ejpam-6890	279	38	0	0	NUM
ejpam-6890	279	39	)	)	PUNCT
ejpam-6890	279	40	=	=	VERB
ejpam-6890	279	41	sinh	sinh	PROPN
ejpam-6890	279	42	ε	ε	PROPN
ejpam-6890	279	43	,	,	PUNCT
ejpam-6890	279	44	u(0	u(0	PROPN
ejpam-6890	279	45	,	,	PUNCT
ejpam-6890	279	46	ζ	ζ	NOUN
ejpam-6890	279	47	)	)	PUNCT
ejpam-6890	279	48	=	=	SYM
ejpam-6890	280	1	0	0	X
ejpam-6890	280	2	.	.	PUNCT
ejpam-6890	280	3	solution	solution	NOUN
ejpam-6890	280	4	3	3	NUM
ejpam-6890	280	5	.	.	PUNCT
ejpam-6890	280	6	by	by	ADP
ejpam-6890	280	7	applying	apply	VERB
ejpam-6890	280	8	the	the	DET
ejpam-6890	280	9	single	single	ADJ
ejpam-6890	280	10	sawi	sawi	ADJ
ejpam-6890	280	11	transform	transform	NOUN
ejpam-6890	280	12	and	and	CCONJ
ejpam-6890	280	13	the	the	DET
ejpam-6890	280	14	single	single	ADJ
ejpam-6890	280	15	shehu	shehu	NOUN
ejpam-6890	280	16	transform	transform	VERB
ejpam-6890	280	17	to	to	ADP
ejpam-6890	280	18	the	the	DET
ejpam-6890	280	19	ics	ic	NOUN
ejpam-6890	280	20	,	,	PUNCT
ejpam-6890	280	21	we	we	PRON
ejpam-6890	280	22	get	get	VERB
ejpam-6890	280	23	w	w	ADP
ejpam-6890	280	24	(	(	PUNCT
ejpam-6890	280	25	u(ε	u(ε	PROPN
ejpam-6890	280	26	,	,	PUNCT
ejpam-6890	280	27	0	0	NUM
ejpam-6890	280	28	)	)	PUNCT
ejpam-6890	280	29	)	)	PUNCT
ejpam-6890	281	1	=	=	SYM
ejpam-6890	282	1	1	1	NUM
ejpam-6890	282	2	1−σ2	1−σ2	NUM
ejpam-6890	282	3	,	,	PUNCT
ejpam-6890	282	4	h	h	NOUN
ejpam-6890	282	5	(	(	PUNCT
ejpam-6890	282	6	u	u	NOUN
ejpam-6890	282	7	(	(	PUNCT
ejpam-6890	282	8	0	0	NUM
ejpam-6890	282	9	,	,	PUNCT
ejpam-6890	282	10	ζ	ζ	NOUN
ejpam-6890	282	11	)	)	PUNCT
ejpam-6890	282	12	)	)	PUNCT
ejpam-6890	283	1	=	=	SYM
ejpam-6890	283	2	0	0	X
ejpam-6890	283	3	.	.	PUNCT
ejpam-6890	284	1	by	by	ADP
ejpam-6890	284	2	definition	definition	NOUN
ejpam-6890	284	3	4	4	NUM
ejpam-6890	284	4	and	and	CCONJ
ejpam-6890	284	5	theorem	theorem	VERB
ejpam-6890	284	6	2	2	NUM
ejpam-6890	284	7	,	,	PUNCT
ejpam-6890	284	8	we	we	PRON
ejpam-6890	284	9	have	have	VERB
ejpam-6890	284	10	ε∫	ε∫	NOUN
ejpam-6890	284	11	0	0	NUM
ejpam-6890	284	12	ζ∫	ζ∫	NOUN
ejpam-6890	284	13	0	0	NUM
ejpam-6890	284	14	u(γ	u(γ	PROPN
ejpam-6890	284	15	,	,	PUNCT
ejpam-6890	284	16	δ))dγdδ	δ))dγdδ	X
ejpam-6890	284	17	=	=	SYM
ejpam-6890	284	18	(	(	PUNCT
ejpam-6890	284	19	1	1	NUM
ejpam-6890	284	20	∗	∗	NOUN
ejpam-6890	284	21	∗u	∗u	NOUN
ejpam-6890	284	22	)	)	PUNCT
ejpam-6890	284	23	(	(	PUNCT
ejpam-6890	284	24	ε	ε	PROPN
ejpam-6890	284	25	,	,	PUNCT
ejpam-6890	284	26	ζ	ζ	NOUN
ejpam-6890	284	27	)	)	PUNCT
ejpam-6890	284	28	.	.	PUNCT
ejpam-6890	285	1	(	(	PUNCT
ejpam-6890	285	2	22	22	NUM
ejpam-6890	285	3	)	)	PUNCT
ejpam-6890	285	4	apply	apply	VERB
ejpam-6890	285	5	the	the	DET
ejpam-6890	285	6	dsw	dsw	NOUN
ejpam-6890	285	7	-	-	PUNCT
ejpam-6890	285	8	sht	sht	NOUN
ejpam-6890	285	9	to	to	ADP
ejpam-6890	285	10	equation	equation	NOUN
ejpam-6890	285	11	21	21	NUM
ejpam-6890	285	12	,	,	PUNCT
ejpam-6890	285	13	we	we	PRON
ejpam-6890	285	14	get	get	VERB
ejpam-6890	285	15	u(σ	u(σ	PROPN
ejpam-6890	285	16	,	,	PUNCT
ejpam-6890	285	17	ϕ	ϕ	PROPN
ejpam-6890	285	18	,	,	PUNCT
ejpam-6890	285	19	δ	δ	PROPN
ejpam-6890	285	20	)	)	PUNCT
ejpam-6890	285	21	σ	σ	PROPN
ejpam-6890	285	22	−	−	PROPN
ejpam-6890	285	23	h(u(0	h(u(0	PROPN
ejpam-6890	285	24	,	,	PUNCT
ejpam-6890	285	25	ζ	ζ	NOUN
ejpam-6890	285	26	)	)	PUNCT
ejpam-6890	285	27	)	)	PUNCT
ejpam-6890	286	1	σ2	σ2	PROPN
ejpam-6890	286	2	+	+	CCONJ
ejpam-6890	286	3	ϕ	ϕ	PROPN
ejpam-6890	286	4	δ	δ	PROPN
ejpam-6890	286	5	u(σ	u(σ	PROPN
ejpam-6890	286	6	,	,	PUNCT
ejpam-6890	286	7	ϕ	ϕ	PROPN
ejpam-6890	286	8	,	,	PUNCT
ejpam-6890	286	9	δ	δ	PROPN
ejpam-6890	286	10	)	)	PUNCT
ejpam-6890	286	11	m.	m.	NOUN
ejpam-6890	286	12	al	al	PROPN
ejpam-6890	286	13	-	-	PUNCT
ejpam-6890	286	14	momani	momani	X
ejpam-6890	286	15	et	et	PROPN
ejpam-6890	286	16	al	al	PROPN
ejpam-6890	286	17	.	.	PUNCT
ejpam-6890	286	18	/	/	SYM
ejpam-6890	286	19	eur	eur	PROPN
ejpam-6890	286	20	.	.	PUNCT
ejpam-6890	287	1	j.	j.	PROPN
ejpam-6890	287	2	pure	pure	PROPN
ejpam-6890	287	3	appl	appl	PROPN
ejpam-6890	287	4	.	.	PROPN
ejpam-6890	287	5	math	math	PROPN
ejpam-6890	287	6	,	,	PUNCT
ejpam-6890	287	7	18	18	NUM
ejpam-6890	287	8	(	(	PUNCT
ejpam-6890	287	9	4	4	NUM
ejpam-6890	287	10	)	)	PUNCT
ejpam-6890	287	11	(	(	PUNCT
ejpam-6890	287	12	2025	2025	NUM
ejpam-6890	287	13	)	)	PUNCT
ejpam-6890	287	14	,	,	PUNCT
ejpam-6890	287	15	6890	6890	NUM
ejpam-6890	287	16	13	13	NUM
ejpam-6890	287	17	of	of	ADP
ejpam-6890	287	18	15	15	NUM
ejpam-6890	287	19	−w	−w	ADV
ejpam-6890	287	20	(	(	PUNCT
ejpam-6890	287	21	u(ε	u(ε	PROPN
ejpam-6890	287	22	,	,	PUNCT
ejpam-6890	287	23	0))−	0))−	PUNCT
ejpam-6890	288	1	δϕ	δϕ	PROPN
ejpam-6890	289	1	ϕ2	ϕ2	ADV
ejpam-6890	289	2	+	+	CCONJ
ejpam-6890	289	3	δ2	δ2	VERB
ejpam-6890	289	4	×	×	NOUN
ejpam-6890	289	5	1	1	NUM
ejpam-6890	289	6	σ	σ	PROPN
ejpam-6890	289	7	(	(	PUNCT
ejpam-6890	289	8	1−	1−	NUM
ejpam-6890	289	9	σ2	σ2	PROPN
ejpam-6890	289	10	)	)	PUNCT
ejpam-6890	289	11	+	+	X
ejpam-6890	289	12	δ2	δ2	VERB
ejpam-6890	289	13	ϕ2	ϕ2	ADV
ejpam-6890	289	14	+	+	CCONJ
ejpam-6890	289	15	δ2	δ2	VERB
ejpam-6890	289	16	×	×	NOUN
ejpam-6890	289	17	1	1	NUM
ejpam-6890	289	18	σ	σ	NOUN
ejpam-6890	289	19	(	(	PUNCT
ejpam-6890	289	20	1−	1−	NUM
ejpam-6890	289	21	σ	σ	PROPN
ejpam-6890	289	22	)	)	PUNCT
ejpam-6890	289	23	−	−	PROPN
ejpam-6890	290	1	1	1	NUM
ejpam-6890	290	2	σ	σ	PROPN
ejpam-6890	290	3	×	×	NOUN
ejpam-6890	290	4	δ2	δ2	ADJ
ejpam-6890	290	5	ϕ2	ϕ2	ADV
ejpam-6890	290	6	+	+	CCONJ
ejpam-6890	290	7	δ2	δ2	VERB
ejpam-6890	290	8	=	=	SYM
ejpam-6890	290	9	σ2	σ2	PROPN
ejpam-6890	290	10	×	×	PROPN
ejpam-6890	290	11	δ	δ	PROPN
ejpam-6890	290	12	σϕ	σϕ	ADJ
ejpam-6890	290	13	×	×	PROPN
ejpam-6890	290	14	u(σ	u(σ	PROPN
ejpam-6890	290	15	,	,	PUNCT
ejpam-6890	290	16	ϕ	ϕ	PROPN
ejpam-6890	290	17	,	,	PUNCT
ejpam-6890	290	18	δ	δ	PROPN
ejpam-6890	290	19	)	)	PUNCT
ejpam-6890	290	20	.	.	PUNCT
ejpam-6890	291	1	so	so	ADV
ejpam-6890	291	2	,	,	PUNCT
ejpam-6890	291	3	δϕ+	δϕ+	ADJ
ejpam-6890	291	4	σϕ2	σϕ2	ADJ
ejpam-6890	291	5	−	−	PROPN
ejpam-6890	292	1	σ2δ2	σ2δ2	INTJ
ejpam-6890	292	2	σδ	σδ	PROPN
ejpam-6890	292	3	×	×	PROPN
ejpam-6890	292	4	u(σ	u(σ	PROPN
ejpam-6890	292	5	,	,	PUNCT
ejpam-6890	292	6	ϕ	ϕ	PROPN
ejpam-6890	292	7	,	,	PUNCT
ejpam-6890	292	8	δ	δ	PROPN
ejpam-6890	292	9	)	)	PUNCT
ejpam-6890	292	10	=	=	SYM
ejpam-6890	292	11	1	1	NUM
ejpam-6890	292	12	1−	1−	NUM
ejpam-6890	292	13	σ2	σ2	PROPN
ejpam-6890	292	14	+	+	PROPN
ejpam-6890	292	15	δϕ	δϕ	PROPN
ejpam-6890	292	16	σ	σ	PROPN
ejpam-6890	292	17	(	(	PUNCT
ejpam-6890	292	18	1−	1−	NUM
ejpam-6890	292	19	σ2	σ2	NOUN
ejpam-6890	292	20	)	)	PUNCT
ejpam-6890	292	21	(	(	PUNCT
ejpam-6890	292	22	ϕ2	ϕ2	ADV
ejpam-6890	292	23	+	+	CCONJ
ejpam-6890	292	24	δ2	δ2	ADJ
ejpam-6890	292	25	)	)	PUNCT
ejpam-6890	292	26	−	−	PROPN
ejpam-6890	292	27	δ2	δ2	PROPN
ejpam-6890	292	28	σ	σ	PROPN
ejpam-6890	292	29	(	(	PUNCT
ejpam-6890	292	30	1−	1−	NUM
ejpam-6890	292	31	σ	σ	NUM
ejpam-6890	292	32	)	)	PUNCT
ejpam-6890	292	33	(	(	PUNCT
ejpam-6890	292	34	ϕ2	ϕ2	ADV
ejpam-6890	292	35	+	+	CCONJ
ejpam-6890	292	36	δ2	δ2	ADJ
ejpam-6890	292	37	)	)	PUNCT
ejpam-6890	293	1	+	+	CCONJ
ejpam-6890	293	2	δ2	δ2	ADJ
ejpam-6890	293	3	σ	σ	NOUN
ejpam-6890	293	4	(	(	PUNCT
ejpam-6890	293	5	ϕ2	ϕ2	ADV
ejpam-6890	293	6	+	+	CCONJ
ejpam-6890	293	7	δ2	δ2	ADJ
ejpam-6890	293	8	)	)	PUNCT
ejpam-6890	293	9	.	.	PUNCT
ejpam-6890	294	1	by	by	ADP
ejpam-6890	294	2	simplifying	simplify	VERB
ejpam-6890	294	3	,	,	PUNCT
ejpam-6890	294	4	we	we	PRON
ejpam-6890	294	5	get	get	VERB
ejpam-6890	294	6	,	,	PUNCT
ejpam-6890	294	7	u(σ	u(σ	PROPN
ejpam-6890	294	8	,	,	PUNCT
ejpam-6890	294	9	ϕ	ϕ	PROPN
ejpam-6890	294	10	,	,	PUNCT
ejpam-6890	294	11	δ	δ	PROPN
ejpam-6890	294	12	)	)	PUNCT
ejpam-6890	295	1	=	=	PRON
ejpam-6890	295	2	δϕ	δϕ	PROPN
ejpam-6890	295	3	(	(	PUNCT
ejpam-6890	295	4	1−	1−	NUM
ejpam-6890	295	5	σ2	σ2	NOUN
ejpam-6890	295	6	)	)	PUNCT
ejpam-6890	295	7	(	(	PUNCT
ejpam-6890	295	8	ϕ2	ϕ2	ADV
ejpam-6890	295	9	+	+	CCONJ
ejpam-6890	295	10	δ2	δ2	ADJ
ejpam-6890	295	11	)	)	PUNCT
ejpam-6890	295	12	.	.	PUNCT
ejpam-6890	296	1	therefore	therefore	ADV
ejpam-6890	296	2	,	,	PUNCT
ejpam-6890	296	3	u(ε	u(ε	PRON
ejpam-6890	296	4	,	,	PUNCT
ejpam-6890	296	5	ζ	ζ	NOUN
ejpam-6890	296	6	)	)	PUNCT
ejpam-6890	296	7	=	=	PUNCT
ejpam-6890	296	8	w−1	w−1	PROPN
ejpam-6890	296	9	ε	ε	PROPN
ejpam-6890	296	10	h−1	h−1	PROPN
ejpam-6890	296	11	ζ	ζ	PROPN
ejpam-6890	296	12	(	(	PUNCT
ejpam-6890	296	13	δϕ	δϕ	PROPN
ejpam-6890	296	14	(	(	PUNCT
ejpam-6890	296	15	1−	1−	NUM
ejpam-6890	296	16	σ2	σ2	NOUN
ejpam-6890	296	17	)	)	PUNCT
ejpam-6890	296	18	(	(	PUNCT
ejpam-6890	296	19	ϕ2	ϕ2	ADV
ejpam-6890	296	20	+	+	CCONJ
ejpam-6890	296	21	δ2	δ2	ADJ
ejpam-6890	296	22	)	)	PUNCT
ejpam-6890	296	23	)	)	PUNCT
ejpam-6890	297	1	=	=	PUNCT
ejpam-6890	297	2	sinh	sinh	PROPN
ejpam-6890	297	3	ε	ε	PROPN
ejpam-6890	297	4	cos	cos	PROPN
ejpam-6890	297	5	ζ	ζ	PROPN
ejpam-6890	297	6	.	.	PUNCT
ejpam-6890	298	1	its	its	PRON
ejpam-6890	298	2	graph	graph	NOUN
ejpam-6890	298	3	is	be	AUX
ejpam-6890	298	4	figure	figure	NOUN
ejpam-6890	298	5	3	3	NUM
ejpam-6890	298	6	:	:	PUNCT
ejpam-6890	298	7	the	the	DET
ejpam-6890	298	8	solution	solution	NOUN
ejpam-6890	298	9	of	of	ADP
ejpam-6890	298	10	example	example	NOUN
ejpam-6890	298	11	3	3	NUM
ejpam-6890	298	12	m.	m.	NOUN
ejpam-6890	298	13	al	al	PROPN
ejpam-6890	298	14	-	-	PUNCT
ejpam-6890	298	15	momani	momani	X
ejpam-6890	298	16	et	et	PROPN
ejpam-6890	298	17	al	al	PROPN
ejpam-6890	298	18	.	.	PUNCT
ejpam-6890	298	19	/	/	SYM
ejpam-6890	298	20	eur	eur	PROPN
ejpam-6890	298	21	.	.	PUNCT
ejpam-6890	299	1	j.	j.	PROPN
ejpam-6890	299	2	pure	pure	PROPN
ejpam-6890	299	3	appl	appl	PROPN
ejpam-6890	299	4	.	.	PROPN
ejpam-6890	299	5	math	math	PROPN
ejpam-6890	299	6	,	,	PUNCT
ejpam-6890	299	7	18	18	NUM
ejpam-6890	299	8	(	(	PUNCT
ejpam-6890	299	9	4	4	NUM
ejpam-6890	299	10	)	)	PUNCT
ejpam-6890	299	11	(	(	PUNCT
ejpam-6890	299	12	2025	2025	NUM
ejpam-6890	299	13	)	)	PUNCT
ejpam-6890	299	14	,	,	PUNCT
ejpam-6890	299	15	6890	6890	NUM
ejpam-6890	299	16	14	14	NUM
ejpam-6890	299	17	of	of	ADP
ejpam-6890	299	18	15	15	NUM
ejpam-6890	299	19	6	6	NUM
ejpam-6890	299	20	.	.	PUNCT
ejpam-6890	300	1	conclusion	conclusion	NOUN
ejpam-6890	300	2	this	this	DET
ejpam-6890	300	3	paper	paper	NOUN
ejpam-6890	300	4	introduced	introduce	VERB
ejpam-6890	300	5	dsw	dsw	NOUN
ejpam-6890	300	6	-	-	PUNCT
ejpam-6890	300	7	sht	sht	NOUN
ejpam-6890	300	8	and	and	CCONJ
ejpam-6890	300	9	explored	explore	VERB
ejpam-6890	300	10	its	its	PRON
ejpam-6890	300	11	main	main	ADJ
ejpam-6890	300	12	properties	property	NOUN
ejpam-6890	300	13	while	while	SCONJ
ejpam-6890	300	14	establishing	establish	VERB
ejpam-6890	300	15	the	the	DET
ejpam-6890	300	16	conditions	condition	NOUN
ejpam-6890	300	17	needed	need	VERB
ejpam-6890	300	18	for	for	ADP
ejpam-6890	300	19	its	its	PRON
ejpam-6890	300	20	existence	existence	NOUN
ejpam-6890	300	21	.	.	PUNCT
ejpam-6890	301	1	the	the	DET
ejpam-6890	301	2	results	result	NOUN
ejpam-6890	301	3	showed	show	VERB
ejpam-6890	301	4	that	that	SCONJ
ejpam-6890	301	5	this	this	DET
ejpam-6890	301	6	hybrid	hybrid	ADJ
ejpam-6890	301	7	double	double	ADJ
ejpam-6890	301	8	transform	transform	NOUN
ejpam-6890	301	9	can	can	AUX
ejpam-6890	301	10	serve	serve	VERB
ejpam-6890	301	11	as	as	ADP
ejpam-6890	301	12	a	a	DET
ejpam-6890	301	13	powerful	powerful	ADJ
ejpam-6890	301	14	tool	tool	NOUN
ejpam-6890	301	15	in	in	ADP
ejpam-6890	301	16	convolution	convolution	NOUN
ejpam-6890	301	17	theory	theory	NOUN
ejpam-6890	301	18	and	and	CCONJ
ejpam-6890	301	19	in	in	ADP
ejpam-6890	301	20	dealing	deal	VERB
ejpam-6890	301	21	with	with	ADP
ejpam-6890	301	22	derivative	derivative	ADJ
ejpam-6890	301	23	operations	operation	NOUN
ejpam-6890	301	24	.	.	PUNCT
ejpam-6890	302	1	the	the	DET
ejpam-6890	302	2	theoretical	theoretical	ADJ
ejpam-6890	302	3	framework	framework	NOUN
ejpam-6890	302	4	that	that	PRON
ejpam-6890	302	5	has	have	AUX
ejpam-6890	302	6	been	be	AUX
ejpam-6890	302	7	developed	develop	VERB
ejpam-6890	302	8	confirms	confirm	VERB
ejpam-6890	302	9	the	the	DET
ejpam-6890	302	10	robustness	robustness	NOUN
ejpam-6890	302	11	of	of	ADP
ejpam-6890	302	12	the	the	DET
ejpam-6890	302	13	transform	transform	NOUN
ejpam-6890	302	14	and	and	CCONJ
ejpam-6890	302	15	demonstrates	demonstrate	VERB
ejpam-6890	302	16	that	that	SCONJ
ejpam-6890	302	17	it	it	PRON
ejpam-6890	302	18	can	can	AUX
ejpam-6890	302	19	be	be	AUX
ejpam-6890	302	20	applied	apply	VERB
ejpam-6890	302	21	to	to	ADP
ejpam-6890	302	22	a	a	DET
ejpam-6890	302	23	wide	wide	ADJ
ejpam-6890	302	24	range	range	NOUN
ejpam-6890	302	25	of	of	ADP
ejpam-6890	302	26	mathematical	mathematical	ADJ
ejpam-6890	302	27	problems	problem	NOUN
ejpam-6890	302	28	.	.	PUNCT
ejpam-6890	303	1	the	the	DET
ejpam-6890	303	2	study	study	NOUN
ejpam-6890	303	3	also	also	ADV
ejpam-6890	303	4	connected	connect	VERB
ejpam-6890	303	5	the	the	DET
ejpam-6890	303	6	proposed	propose	VERB
ejpam-6890	303	7	transform	transform	NOUN
ejpam-6890	303	8	with	with	ADP
ejpam-6890	303	9	earlier	early	ADJ
ejpam-6890	303	10	numerical	numerical	ADJ
ejpam-6890	303	11	procedures	procedure	NOUN
ejpam-6890	303	12	and	and	CCONJ
ejpam-6890	303	13	results	result	NOUN
ejpam-6890	303	14	from	from	ADP
ejpam-6890	303	15	related	related	ADJ
ejpam-6890	303	16	works	work	NOUN
ejpam-6890	303	17	to	to	PART
ejpam-6890	303	18	underline	underline	VERB
ejpam-6890	303	19	its	its	PRON
ejpam-6890	303	20	practical	practical	ADJ
ejpam-6890	303	21	relevance	relevance	NOUN
ejpam-6890	303	22	.	.	PUNCT
ejpam-6890	304	1	through	through	ADP
ejpam-6890	304	2	these	these	DET
ejpam-6890	304	3	connections	connection	NOUN
ejpam-6890	304	4	it	it	PRON
ejpam-6890	304	5	became	become	VERB
ejpam-6890	304	6	clear	clear	ADJ
ejpam-6890	304	7	that	that	SCONJ
ejpam-6890	304	8	the	the	DET
ejpam-6890	304	9	dsw	dsw	NOUN
ejpam-6890	304	10	-	-	PUNCT
ejpam-6890	304	11	sht	sht	NOUN
ejpam-6890	304	12	does	do	AUX
ejpam-6890	304	13	not	not	PART
ejpam-6890	304	14	only	only	ADV
ejpam-6890	304	15	extend	extend	VERB
ejpam-6890	304	16	the	the	DET
ejpam-6890	304	17	family	family	NOUN
ejpam-6890	304	18	of	of	ADP
ejpam-6890	304	19	integral	integral	ADJ
ejpam-6890	304	20	transforms	transform	NOUN
ejpam-6890	304	21	but	but	CCONJ
ejpam-6890	304	22	also	also	ADV
ejpam-6890	304	23	provides	provide	VERB
ejpam-6890	304	24	more	more	ADJ
ejpam-6890	304	25	flexibility	flexibility	NOUN
ejpam-6890	304	26	in	in	ADP
ejpam-6890	304	27	analyzing	analyze	VERB
ejpam-6890	304	28	equations	equation	NOUN
ejpam-6890	304	29	that	that	PRON
ejpam-6890	304	30	are	be	AUX
ejpam-6890	304	31	otherwise	otherwise	ADV
ejpam-6890	304	32	difficult	difficult	ADJ
ejpam-6890	304	33	to	to	PART
ejpam-6890	304	34	handle	handle	VERB
ejpam-6890	304	35	.	.	PUNCT
ejpam-6890	305	1	the	the	DET
ejpam-6890	305	2	advantages	advantage	NOUN
ejpam-6890	305	3	of	of	ADP
ejpam-6890	305	4	the	the	DET
ejpam-6890	305	5	dsw	dsw	NOUN
ejpam-6890	305	6	-	-	PUNCT
ejpam-6890	305	7	sht	sht	NOUN
ejpam-6890	305	8	appear	appear	VERB
ejpam-6890	305	9	in	in	ADP
ejpam-6890	305	10	its	its	PRON
ejpam-6890	305	11	ability	ability	NOUN
ejpam-6890	305	12	to	to	PART
ejpam-6890	305	13	simplify	simplify	VERB
ejpam-6890	305	14	calculations	calculation	NOUN
ejpam-6890	305	15	,	,	PUNCT
ejpam-6890	305	16	unify	unify	VERB
ejpam-6890	305	17	different	different	ADJ
ejpam-6890	305	18	approaches	approach	NOUN
ejpam-6890	305	19	,	,	PUNCT
ejpam-6890	305	20	and	and	CCONJ
ejpam-6890	305	21	improve	improve	VERB
ejpam-6890	305	22	the	the	DET
ejpam-6890	305	23	analysis	analysis	NOUN
ejpam-6890	305	24	of	of	ADP
ejpam-6890	305	25	complex	complex	ADJ
ejpam-6890	305	26	models	model	NOUN
ejpam-6890	305	27	.	.	PUNCT
ejpam-6890	306	1	looking	look	VERB
ejpam-6890	306	2	forward	forward	ADV
ejpam-6890	306	3	,	,	PUNCT
ejpam-6890	306	4	the	the	DET
ejpam-6890	306	5	dsw	dsw	NOUN
ejpam-6890	306	6	-	-	PUNCT
ejpam-6890	306	7	sht	sht	NOUN
ejpam-6890	306	8	can	can	AUX
ejpam-6890	306	9	be	be	AUX
ejpam-6890	306	10	a	a	DET
ejpam-6890	306	11	basis	basis	NOUN
ejpam-6890	306	12	for	for	ADP
ejpam-6890	306	13	further	further	ADJ
ejpam-6890	306	14	research	research	NOUN
ejpam-6890	306	15	directions	direction	NOUN
ejpam-6890	306	16	.	.	PUNCT
ejpam-6890	307	1	it	it	PRON
ejpam-6890	307	2	shows	show	VERB
ejpam-6890	307	3	strong	strong	ADJ
ejpam-6890	307	4	potential	potential	NOUN
ejpam-6890	307	5	in	in	ADP
ejpam-6890	307	6	the	the	DET
ejpam-6890	307	7	study	study	NOUN
ejpam-6890	307	8	of	of	ADP
ejpam-6890	307	9	fractional	fractional	ADJ
ejpam-6890	307	10	and	and	CCONJ
ejpam-6890	307	11	conformable	conformable	ADJ
ejpam-6890	307	12	partial	partial	ADJ
ejpam-6890	307	13	differential	differential	NOUN
ejpam-6890	307	14	equations	equation	NOUN
ejpam-6890	307	15	and	and	CCONJ
ejpam-6890	307	16	in	in	ADP
ejpam-6890	307	17	integro	integro	ADJ
ejpam-6890	307	18	-	-	PUNCT
ejpam-6890	307	19	partial	partial	ADJ
ejpam-6890	307	20	differential	differential	ADJ
ejpam-6890	307	21	equations	equation	NOUN
ejpam-6890	307	22	that	that	PRON
ejpam-6890	307	23	involve	involve	VERB
ejpam-6890	307	24	variable	variable	ADJ
ejpam-6890	307	25	coefficients	coefficient	NOUN
ejpam-6890	307	26	.	.	PUNCT
ejpam-6890	308	1	these	these	DET
ejpam-6890	308	2	areas	area	NOUN
ejpam-6890	308	3	remain	remain	VERB
ejpam-6890	308	4	rich	rich	ADJ
ejpam-6890	308	5	with	with	ADP
ejpam-6890	308	6	open	open	ADJ
ejpam-6890	308	7	problems	problem	NOUN
ejpam-6890	308	8	where	where	SCONJ
ejpam-6890	308	9	new	new	ADJ
ejpam-6890	308	10	approaches	approach	NOUN
ejpam-6890	308	11	are	be	AUX
ejpam-6890	308	12	still	still	ADV
ejpam-6890	308	13	needed	need	VERB
ejpam-6890	308	14	.	.	PUNCT
ejpam-6890	309	1	we	we	PRON
ejpam-6890	309	2	believe	believe	VERB
ejpam-6890	309	3	that	that	SCONJ
ejpam-6890	309	4	the	the	DET
ejpam-6890	309	5	extension	extension	NOUN
ejpam-6890	309	6	of	of	ADP
ejpam-6890	309	7	the	the	DET
ejpam-6890	309	8	dsw	dsw	NOUN
ejpam-6890	309	9	-	-	PUNCT
ejpam-6890	309	10	sht	sht	NOUN
ejpam-6890	309	11	to	to	PART
ejpam-6890	309	12	conformable	conformable	VERB
ejpam-6890	309	13	pdes	pde	NOUN
ejpam-6890	309	14	and	and	CCONJ
ejpam-6890	309	15	its	its	PRON
ejpam-6890	309	16	applications	application	NOUN
ejpam-6890	309	17	in	in	ADP
ejpam-6890	309	18	other	other	ADJ
ejpam-6890	309	19	branches	branch	NOUN
ejpam-6890	309	20	of	of	ADP
ejpam-6890	309	21	applied	apply	VERB
ejpam-6890	309	22	mathematics	mathematic	NOUN
ejpam-6890	309	23	will	will	AUX
ejpam-6890	309	24	lead	lead	VERB
ejpam-6890	309	25	to	to	ADP
ejpam-6890	309	26	deeper	deep	ADJ
ejpam-6890	309	27	insights	insight	NOUN
ejpam-6890	309	28	and	and	CCONJ
ejpam-6890	309	29	more	more	ADV
ejpam-6890	309	30	effective	effective	ADJ
ejpam-6890	309	31	methods	method	NOUN
ejpam-6890	309	32	for	for	ADP
ejpam-6890	309	33	solving	solve	VERB
ejpam-6890	309	34	challenging	challenging	ADJ
ejpam-6890	309	35	equations	equation	NOUN
ejpam-6890	309	36	.	.	PUNCT
ejpam-6890	310	1	future	future	ADJ
ejpam-6890	310	2	studies	study	NOUN
ejpam-6890	310	3	may	may	AUX
ejpam-6890	310	4	also	also	ADV
ejpam-6890	310	5	focus	focus	VERB
ejpam-6890	310	6	on	on	ADP
ejpam-6890	310	7	numerical	numerical	ADJ
ejpam-6890	310	8	implementations	implementation	NOUN
ejpam-6890	310	9	and	and	CCONJ
ejpam-6890	310	10	computational	computational	ADJ
ejpam-6890	310	11	aspects	aspect	NOUN
ejpam-6890	310	12	of	of	ADP
ejpam-6890	310	13	the	the	DET
ejpam-6890	310	14	transform	transform	NOUN
ejpam-6890	310	15	to	to	PART
ejpam-6890	310	16	test	test	VERB
ejpam-6890	310	17	its	its	PRON
ejpam-6890	310	18	efficiency	efficiency	NOUN
ejpam-6890	310	19	in	in	ADP
ejpam-6890	310	20	real	real	ADJ
ejpam-6890	310	21	applications	application	NOUN
ejpam-6890	310	22	.	.	PUNCT
ejpam-6890	311	1	another	another	DET
ejpam-6890	311	2	promising	promising	ADJ
ejpam-6890	311	3	direction	direction	NOUN
ejpam-6890	311	4	is	be	AUX
ejpam-6890	311	5	to	to	PART
ejpam-6890	311	6	investigate	investigate	VERB
ejpam-6890	311	7	how	how	SCONJ
ejpam-6890	311	8	the	the	DET
ejpam-6890	311	9	dsw	dsw	NOUN
ejpam-6890	311	10	-	-	PUNCT
ejpam-6890	311	11	sht	sht	NOUN
ejpam-6890	311	12	interacts	interact	VERB
ejpam-6890	311	13	with	with	ADP
ejpam-6890	311	14	other	other	ADJ
ejpam-6890	311	15	transforms	transform	NOUN
ejpam-6890	311	16	and	and	CCONJ
ejpam-6890	311	17	whether	whether	SCONJ
ejpam-6890	311	18	hybrid	hybrid	ADJ
ejpam-6890	311	19	structures	structure	NOUN
ejpam-6890	311	20	can	can	AUX
ejpam-6890	311	21	be	be	AUX
ejpam-6890	311	22	created	create	VERB
ejpam-6890	311	23	to	to	PART
ejpam-6890	311	24	address	address	VERB
ejpam-6890	311	25	specialized	specialized	ADJ
ejpam-6890	311	26	problems	problem	NOUN
ejpam-6890	311	27	.	.	PUNCT
ejpam-6890	312	1	such	such	ADJ
ejpam-6890	312	2	efforts	effort	NOUN
ejpam-6890	312	3	will	will	AUX
ejpam-6890	312	4	strengthen	strengthen	VERB
ejpam-6890	312	5	the	the	DET
ejpam-6890	312	6	role	role	NOUN
ejpam-6890	312	7	of	of	ADP
ejpam-6890	312	8	the	the	DET
ejpam-6890	312	9	dsw	dsw	NOUN
ejpam-6890	312	10	-	-	PUNCT
ejpam-6890	312	11	sht	sht	NOUN
ejpam-6890	312	12	in	in	ADP
ejpam-6890	312	13	both	both	CCONJ
ejpam-6890	312	14	theoretical	theoretical	ADJ
ejpam-6890	312	15	and	and	CCONJ
ejpam-6890	312	16	applied	apply	VERB
ejpam-6890	312	17	mathematics	mathematic	NOUN
ejpam-6890	312	18	and	and	CCONJ
ejpam-6890	312	19	confirm	confirm	VERB
ejpam-6890	312	20	its	its	PRON
ejpam-6890	312	21	place	place	NOUN
ejpam-6890	312	22	as	as	ADP
ejpam-6890	312	23	a	a	DET
ejpam-6890	312	24	valuable	valuable	ADJ
ejpam-6890	312	25	tool	tool	NOUN
ejpam-6890	312	26	for	for	ADP
ejpam-6890	312	27	ongoing	ongoing	ADJ
ejpam-6890	312	28	and	and	CCONJ
ejpam-6890	312	29	future	future	ADJ
ejpam-6890	312	30	research	research	NOUN
ejpam-6890	312	31	.	.	PUNCT
ejpam-6890	313	1	further	further	ADJ
ejpam-6890	313	2	developments	development	NOUN
ejpam-6890	313	3	and	and	CCONJ
ejpam-6890	313	4	applications	application	NOUN
ejpam-6890	313	5	in	in	ADP
ejpam-6890	313	6	this	this	DET
ejpam-6890	313	7	field	field	NOUN
ejpam-6890	313	8	,	,	PUNCT
ejpam-6890	313	9	including	include	VERB
ejpam-6890	313	10	extensions	extension	NOUN
ejpam-6890	313	11	to	to	ADP
ejpam-6890	313	12	conformable	conformable	ADJ
ejpam-6890	313	13	pdes	pde	NOUN
ejpam-6890	313	14	,	,	PUNCT
ejpam-6890	313	15	are	be	AUX
ejpam-6890	313	16	available	available	ADJ
ejpam-6890	313	17	in	in	ADP
ejpam-6890	313	18	[	[	X
ejpam-6890	313	19	11–13	11–13	NUM
ejpam-6890	313	20	]	]	X
ejpam-6890	313	21	.	.	PUNCT
ejpam-6890	314	1	references	reference	NOUN
ejpam-6890	314	2	[	[	X
ejpam-6890	314	3	1	1	NUM
ejpam-6890	314	4	]	]	PUNCT
ejpam-6890	314	5	m.	m.	NOUN
ejpam-6890	314	6	mahgoub	mahgoub	NOUN
ejpam-6890	314	7	and	and	CCONJ
ejpam-6890	314	8	m.	m.	NOUN
ejpam-6890	314	9	mohand	mohand	NOUN
ejpam-6890	314	10	.	.	PUNCT
ejpam-6890	315	1	the	the	DET
ejpam-6890	315	2	sawi	sawi	PROPN
ejpam-6890	315	3	transform	transform	NOUN
ejpam-6890	315	4	:	:	PUNCT
ejpam-6890	315	5	a	a	DET
ejpam-6890	315	6	new	new	ADJ
ejpam-6890	315	7	integral	integral	ADJ
ejpam-6890	315	8	transform	transform	NOUN
ejpam-6890	315	9	.	.	PUNCT
ejpam-6890	316	1	advances	advance	NOUN
ejpam-6890	316	2	in	in	ADP
ejpam-6890	316	3	theoretical	theoretical	ADJ
ejpam-6890	316	4	and	and	CCONJ
ejpam-6890	316	5	applied	apply	VERB
ejpam-6890	316	6	mathematics	mathematic	NOUN
ejpam-6890	316	7	,	,	PUNCT
ejpam-6890	316	8	14(1):81–87	14(1):81–87	NUM
ejpam-6890	316	9	,	,	PUNCT
ejpam-6890	316	10	2019	2019	NUM
ejpam-6890	316	11	.	.	PUNCT
ejpam-6890	317	1	[	[	X
ejpam-6890	317	2	2	2	X
ejpam-6890	317	3	]	]	PUNCT
ejpam-6890	317	4	s.	s.	PROPN
ejpam-6890	317	5	maitam	maitam	PROPN
ejpam-6890	317	6	and	and	CCONJ
ejpam-6890	317	7	w.	w.	PROPN
ejpam-6890	317	8	zhao	zhao	PROPN
ejpam-6890	317	9	.	.	PUNCT
ejpam-6890	318	1	the	the	DET
ejpam-6890	318	2	shehu	shehu	PROPN
ejpam-6890	318	3	transform	transform	VERB
ejpam-6890	318	4	:	:	PUNCT
ejpam-6890	318	5	a	a	DET
ejpam-6890	318	6	generalization	generalization	NOUN
ejpam-6890	318	7	of	of	ADP
ejpam-6890	318	8	sumudu	sumudu	NOUN
ejpam-6890	318	9	and	and	CCONJ
ejpam-6890	318	10	laplace	laplace	NOUN
ejpam-6890	318	11	transform	transform	NOUN
ejpam-6890	318	12	for	for	ADP
ejpam-6890	318	13	solving	solve	VERB
ejpam-6890	318	14	differential	differential	ADJ
ejpam-6890	318	15	equations	equation	NOUN
ejpam-6890	318	16	.	.	PUNCT
ejpam-6890	319	1	international	international	ADJ
ejpam-6890	319	2	journal	journal	NOUN
ejpam-6890	319	3	of	of	ADP
ejpam-6890	319	4	analysis	analysis	NOUN
ejpam-6890	319	5	and	and	CCONJ
ejpam-6890	319	6	applications	application	NOUN
ejpam-6890	319	7	,	,	PUNCT
ejpam-6890	319	8	17(2):167–190	17(2):167–190	NUM
ejpam-6890	319	9	,	,	PUNCT
ejpam-6890	319	10	2019	2019	NUM
ejpam-6890	319	11	.	.	PUNCT
ejpam-6890	320	1	[	[	X
ejpam-6890	320	2	3	3	NUM
ejpam-6890	320	3	]	]	PUNCT
ejpam-6890	320	4	a.	a.	NOUN
ejpam-6890	320	5	aghili	aghili	PROPN
ejpam-6890	320	6	and	and	CCONJ
ejpam-6890	320	7	b.	b.	PROPN
ejpam-6890	320	8	parsa	parsa	PROPN
ejpam-6890	320	9	moghaddam	moghaddam	NOUN
ejpam-6890	320	10	.	.	PUNCT
ejpam-6890	321	1	certain	certain	ADJ
ejpam-6890	321	2	theorems	theorem	NOUN
ejpam-6890	321	3	on	on	ADP
ejpam-6890	321	4	two	two	NUM
ejpam-6890	321	5	-	-	PUNCT
ejpam-6890	321	6	dimensional	dimensional	ADJ
ejpam-6890	321	7	laplace	laplace	NOUN
ejpam-6890	321	8	transform	transform	NOUN
ejpam-6890	321	9	and	and	CCONJ
ejpam-6890	321	10	non	non	ADJ
ejpam-6890	321	11	-	-	ADJ
ejpam-6890	321	12	homogeneous	homogeneous	ADJ
ejpam-6890	321	13	parabolic	parabolic	ADJ
ejpam-6890	321	14	partial	partial	ADJ
ejpam-6890	321	15	differential	differential	NOUN
ejpam-6890	321	16	equations	equation	NOUN
ejpam-6890	321	17	.	.	PUNCT
ejpam-6890	322	1	surveys	survey	NOUN
ejpam-6890	322	2	in	in	ADP
ejpam-6890	322	3	mathematics	mathematic	NOUN
ejpam-6890	322	4	and	and	CCONJ
ejpam-6890	322	5	its	its	PRON
ejpam-6890	322	6	applications	application	NOUN
ejpam-6890	322	7	,	,	PUNCT
ejpam-6890	322	8	6:165–174	6:165–174	NUM
ejpam-6890	322	9	,	,	PUNCT
ejpam-6890	322	10	2011	2011	NUM
ejpam-6890	322	11	.	.	PUNCT
ejpam-6890	323	1	[	[	X
ejpam-6890	323	2	4	4	X
ejpam-6890	323	3	]	]	X
ejpam-6890	323	4	r.	r.	PROPN
ejpam-6890	323	5	a.	a.	PROPN
ejpam-6890	323	6	awwad	awwad	PROPN
ejpam-6890	323	7	,	,	PUNCT
ejpam-6890	323	8	m.	m.	NOUN
ejpam-6890	323	9	al	al	PROPN
ejpam-6890	323	10	-	-	PUNCT
ejpam-6890	323	11	momani	momani	PROPN
ejpam-6890	323	12	,	,	PUNCT
ejpam-6890	323	13	a.	a.	PROPN
ejpam-6890	323	14	jaradat	jaradat	PROPN
ejpam-6890	323	15	,	,	PUNCT
ejpam-6890	323	16	b.	b.	PROPN
ejpam-6890	323	17	abughazaleh	abughazaleh	PROPN
ejpam-6890	323	18	,	,	PUNCT
ejpam-6890	323	19	and	and	CCONJ
ejpam-6890	323	20	a.	a.	PROPN
ejpam-6890	323	21	al	al	PROPN
ejpam-6890	323	22	-	-	PUNCT
ejpam-6890	323	23	natoor	natoor	NOUN
ejpam-6890	323	24	.	.	PUNCT
ejpam-6890	324	1	the	the	DET
ejpam-6890	324	2	double	double	ADJ
ejpam-6890	324	3	ara	ara	NOUN
ejpam-6890	324	4	-	-	PUNCT
ejpam-6890	324	5	sawi	sawi	NOUN
ejpam-6890	324	6	transform	transform	NOUN
ejpam-6890	324	7	.	.	PUNCT
ejpam-6890	325	1	european	european	PROPN
ejpam-6890	325	2	journal	journal	PROPN
ejpam-6890	325	3	of	of	ADP
ejpam-6890	325	4	pure	pure	ADJ
ejpam-6890	325	5	and	and	CCONJ
ejpam-6890	325	6	applied	applied	ADJ
ejpam-6890	325	7	mathematics	mathematic	NOUN
ejpam-6890	325	8	,	,	PUNCT
ejpam-6890	325	9	18(1):5807	18(1):5807	NUM
ejpam-6890	325	10	,	,	PUNCT
ejpam-6890	325	11	2025	2025	NUM
ejpam-6890	325	12	.	.	PUNCT
ejpam-6890	326	1	[	[	X
ejpam-6890	326	2	5	5	NUM
ejpam-6890	326	3	]	]	PUNCT
ejpam-6890	326	4	m.	m.	NOUN
ejpam-6890	326	5	al	al	PROPN
ejpam-6890	326	6	-	-	PUNCT
ejpam-6890	326	7	momani	momani	PROPN
ejpam-6890	326	8	,	,	PUNCT
ejpam-6890	326	9	a.	a.	PROPN
ejpam-6890	326	10	jaradat	jaradat	PROPN
ejpam-6890	326	11	,	,	PUNCT
ejpam-6890	326	12	b.	b.	PROPN
ejpam-6890	326	13	abughazaleh	abughazaleh	PROPN
ejpam-6890	326	14	,	,	PUNCT
ejpam-6890	326	15	and	and	CCONJ
ejpam-6890	326	16	a.	a.	PROPN
ejpam-6890	326	17	farah	farah	PROPN
ejpam-6890	326	18	.	.	PUNCT
ejpam-6890	327	1	solving	solve	VERB
ejpam-6890	327	2	partial	partial	ADJ
ejpam-6890	327	3	differential	differential	NOUN
ejpam-6890	327	4	m.	m.	NOUN
ejpam-6890	327	5	al	al	PROPN
ejpam-6890	327	6	-	-	PUNCT
ejpam-6890	327	7	momani	momani	X
ejpam-6890	327	8	et	et	PROPN
ejpam-6890	327	9	al	al	PROPN
ejpam-6890	327	10	.	.	PUNCT
ejpam-6890	327	11	/	/	SYM
ejpam-6890	327	12	eur	eur	PROPN
ejpam-6890	327	13	.	.	PUNCT
ejpam-6890	328	1	j.	j.	PROPN
ejpam-6890	328	2	pure	pure	PROPN
ejpam-6890	328	3	appl	appl	PROPN
ejpam-6890	328	4	.	.	PROPN
ejpam-6890	328	5	math	math	PROPN
ejpam-6890	328	6	,	,	PUNCT
ejpam-6890	328	7	18	18	NUM
ejpam-6890	328	8	(	(	PUNCT
ejpam-6890	328	9	4	4	NUM
ejpam-6890	328	10	)	)	PUNCT
ejpam-6890	328	11	(	(	PUNCT
ejpam-6890	328	12	2025	2025	NUM
ejpam-6890	328	13	)	)	PUNCT
ejpam-6890	328	14	,	,	PUNCT
ejpam-6890	328	15	6890	6890	NUM
ejpam-6890	328	16	15	15	NUM
ejpam-6890	328	17	of	of	ADP
ejpam-6890	328	18	15	15	NUM
ejpam-6890	328	19	equations	equation	NOUN
ejpam-6890	328	20	via	via	ADP
ejpam-6890	328	21	the	the	DET
ejpam-6890	328	22	double	double	ADJ
ejpam-6890	328	23	sumudu	sumudu	NOUN
ejpam-6890	328	24	-	-	PUNCT
ejpam-6890	328	25	shehu	shehu	NOUN
ejpam-6890	328	26	transform	transform	NOUN
ejpam-6890	328	27	.	.	PUNCT
ejpam-6890	329	1	european	european	PROPN
ejpam-6890	329	2	journal	journal	PROPN
ejpam-6890	329	3	of	of	ADP
ejpam-6890	329	4	pure	pure	ADJ
ejpam-6890	329	5	and	and	CCONJ
ejpam-6890	329	6	applied	applied	ADJ
ejpam-6890	329	7	mathematics	mathematic	NOUN
ejpam-6890	329	8	,	,	PUNCT
ejpam-6890	329	9	18(2):5898	18(2):5898	NUM
ejpam-6890	329	10	,	,	PUNCT
ejpam-6890	329	11	2025	2025	NUM
ejpam-6890	329	12	.	.	PUNCT
ejpam-6890	330	1	[	[	X
ejpam-6890	330	2	6	6	NUM
ejpam-6890	330	3	]	]	PUNCT
ejpam-6890	330	4	m.	m.	NOUN
ejpam-6890	330	5	al	al	PROPN
ejpam-6890	330	6	-	-	PUNCT
ejpam-6890	330	7	momani	momani	PROPN
ejpam-6890	330	8	,	,	PUNCT
ejpam-6890	330	9	a.	a.	NOUN
ejpam-6890	330	10	jaradat	jaradat	PROPN
ejpam-6890	330	11	,	,	PUNCT
ejpam-6890	330	12	and	and	CCONJ
ejpam-6890	330	13	b.	b.	PROPN
ejpam-6890	330	14	abughazaleh	abughazaleh	PROPN
ejpam-6890	330	15	.	.	PUNCT
ejpam-6890	331	1	double	double	ADJ
ejpam-6890	331	2	laplace	laplace	NOUN
ejpam-6890	331	3	-	-	PUNCT
ejpam-6890	331	4	sawi	sawi	NOUN
ejpam-6890	331	5	transform	transform	NOUN
ejpam-6890	331	6	.	.	PUNCT
ejpam-6890	332	1	european	european	PROPN
ejpam-6890	332	2	journal	journal	PROPN
ejpam-6890	332	3	of	of	ADP
ejpam-6890	332	4	pure	pure	ADJ
ejpam-6890	332	5	and	and	CCONJ
ejpam-6890	332	6	applied	applied	ADJ
ejpam-6890	332	7	mathematics	mathematic	NOUN
ejpam-6890	332	8	,	,	PUNCT
ejpam-6890	332	9	18(1):5619	18(1):5619	NUM
ejpam-6890	332	10	,	,	PUNCT
ejpam-6890	332	11	2025	2025	NUM
ejpam-6890	332	12	.	.	PUNCT
ejpam-6890	333	1	[	[	X
ejpam-6890	333	2	7	7	X
ejpam-6890	333	3	]	]	X
ejpam-6890	333	4	m.	m.	NOUN
ejpam-6890	333	5	hunaiber	hunaiber	NOUN
ejpam-6890	333	6	and	and	CCONJ
ejpam-6890	333	7	a.	a.	PROPN
ejpam-6890	333	8	al	al	PROPN
ejpam-6890	333	9	-	-	PUNCT
ejpam-6890	333	10	aati	aati	PROPN
ejpam-6890	333	11	.	.	PUNCT
ejpam-6890	334	1	on	on	ADP
ejpam-6890	334	2	double	double	ADJ
ejpam-6890	334	3	laplace	laplace	NOUN
ejpam-6890	334	4	-	-	PUNCT
ejpam-6890	334	5	shehu	shehu	NOUN
ejpam-6890	334	6	transform	transform	NOUN
ejpam-6890	334	7	and	and	CCONJ
ejpam-6890	334	8	its	its	PRON
ejpam-6890	334	9	properties	property	NOUN
ejpam-6890	334	10	with	with	ADP
ejpam-6890	334	11	applications	application	NOUN
ejpam-6890	334	12	.	.	PUNCT
ejpam-6890	335	1	turkish	turkish	ADJ
ejpam-6890	335	2	journal	journal	NOUN
ejpam-6890	335	3	of	of	ADP
ejpam-6890	335	4	mathematics	mathematic	NOUN
ejpam-6890	335	5	and	and	CCONJ
ejpam-6890	335	6	computer	computer	NOUN
ejpam-6890	335	7	science	science	NOUN
ejpam-6890	335	8	,	,	PUNCT
ejpam-6890	335	9	15(2):218	15(2):218	NUM
ejpam-6890	335	10	–	–	PUNCT
ejpam-6890	335	11	226	226	NUM
ejpam-6890	335	12	,	,	PUNCT
ejpam-6890	335	13	2023	2023	NUM
ejpam-6890	335	14	.	.	PUNCT
ejpam-6890	336	1	[	[	X
ejpam-6890	336	2	8	8	NUM
ejpam-6890	336	3	]	]	X
ejpam-6890	336	4	s.	s.	PROPN
ejpam-6890	336	5	khan	khan	PROPN
ejpam-6890	336	6	,	,	PUNCT
ejpam-6890	336	7	a.	a.	PROPN
ejpam-6890	336	8	ullah	ullah	PROPN
ejpam-6890	336	9	,	,	PUNCT
ejpam-6890	336	10	m.	m.	PROPN
ejpam-6890	336	11	de	de	PROPN
ejpam-6890	336	12	la	la	X
ejpam-6890	336	13	sen	sen	PROPN
ejpam-6890	336	14	,	,	PUNCT
ejpam-6890	336	15	and	and	CCONJ
ejpam-6890	336	16	s.	s.	PROPN
ejpam-6890	336	17	ahmad	ahmad	PROPN
ejpam-6890	336	18	.	.	PROPN
ejpam-6890	336	19	double	double	ADJ
ejpam-6890	336	20	sawi	sawi	PROPN
ejpam-6890	336	21	transform	transform	NOUN
ejpam-6890	336	22	:	:	PUNCT
ejpam-6890	336	23	theory	theory	NOUN
ejpam-6890	336	24	and	and	CCONJ
ejpam-6890	336	25	applications	application	NOUN
ejpam-6890	336	26	to	to	ADP
ejpam-6890	336	27	boundary	boundary	ADJ
ejpam-6890	336	28	values	value	NOUN
ejpam-6890	336	29	problems	problem	NOUN
ejpam-6890	336	30	.	.	PUNCT
ejpam-6890	337	1	symmetry	symmetry	NOUN
ejpam-6890	337	2	,	,	PUNCT
ejpam-6890	337	3	15(4):921	15(4):921	NUM
ejpam-6890	337	4	,	,	PUNCT
ejpam-6890	337	5	2023	2023	NUM
ejpam-6890	337	6	.	.	PUNCT
ejpam-6890	338	1	[	[	X
ejpam-6890	338	2	9	9	NUM
ejpam-6890	338	3	]	]	X
ejpam-6890	338	4	b.	b.	PROPN
ejpam-6890	338	5	abughazaleh	abughazaleh	PROPN
ejpam-6890	338	6	,	,	PUNCT
ejpam-6890	338	7	m.	m.	NOUN
ejpam-6890	338	8	a.	a.	PROPN
ejpam-6890	338	9	amleh	amleh	PROPN
ejpam-6890	338	10	,	,	PUNCT
ejpam-6890	338	11	a.	a.	PROPN
ejpam-6890	338	12	al	al	PROPN
ejpam-6890	338	13	-	-	PUNCT
ejpam-6890	338	14	natoor	natoor	NOUN
ejpam-6890	338	15	,	,	PUNCT
ejpam-6890	338	16	and	and	CCONJ
ejpam-6890	338	17	r.	r.	PROPN
ejpam-6890	338	18	saadeh	saadeh	PROPN
ejpam-6890	338	19	.	.	PUNCT
ejpam-6890	339	1	double	double	ADJ
ejpam-6890	339	2	mellin	mellin	PROPN
ejpam-6890	339	3	-	-	PUNCT
ejpam-6890	339	4	ara	ara	NOUN
ejpam-6890	339	5	transform	transform	NOUN
ejpam-6890	339	6	.	.	PUNCT
ejpam-6890	340	1	in	in	ADP
ejpam-6890	340	2	springer	springer	NOUN
ejpam-6890	340	3	proceedings	proceeding	NOUN
ejpam-6890	340	4	in	in	ADP
ejpam-6890	340	5	mathematics	mathematic	NOUN
ejpam-6890	340	6	and	and	CCONJ
ejpam-6890	340	7	statistics	statistic	NOUN
ejpam-6890	340	8	,	,	PUNCT
ejpam-6890	340	9	volume	volume	NOUN
ejpam-6890	340	10	466	466	NUM
ejpam-6890	340	11	,	,	PUNCT
ejpam-6890	340	12	pages	page	NOUN
ejpam-6890	340	13	383–394	383–394	NUM
ejpam-6890	340	14	,	,	PUNCT
ejpam-6890	340	15	2024	2024	NUM
ejpam-6890	340	16	.	.	PUNCT
ejpam-6890	341	1	[	[	X
ejpam-6890	341	2	10	10	NUM
ejpam-6890	341	3	]	]	X
ejpam-6890	341	4	r.	r.	PROPN
ejpam-6890	341	5	abu	abu	PROPN
ejpam-6890	341	6	awwad	awwad	PROPN
ejpam-6890	341	7	,	,	PUNCT
ejpam-6890	341	8	m.	m.	NOUN
ejpam-6890	341	9	al	al	PROPN
ejpam-6890	341	10	-	-	PUNCT
ejpam-6890	341	11	momani	momani	PROPN
ejpam-6890	341	12	,	,	PUNCT
ejpam-6890	341	13	b.	b.	PROPN
ejpam-6890	341	14	abughazaleh	abughazaleh	PROPN
ejpam-6890	341	15	,	,	PUNCT
ejpam-6890	341	16	a.	a.	PROPN
ejpam-6890	341	17	jaradat	jaradat	PROPN
ejpam-6890	341	18	,	,	PUNCT
ejpam-6890	341	19	and	and	CCONJ
ejpam-6890	341	20	a.	a.	PROPN
ejpam-6890	341	21	farah	farah	PROPN
ejpam-6890	341	22	.	.	PUNCT
ejpam-6890	342	1	the	the	DET
ejpam-6890	342	2	double	double	ADJ
ejpam-6890	342	3	sumudu	sumudu	NOUN
ejpam-6890	342	4	-	-	PUNCT
ejpam-6890	342	5	sawi	sawi	NOUN
ejpam-6890	342	6	transform	transform	NOUN
ejpam-6890	342	7	.	.	PUNCT
ejpam-6890	343	1	european	european	PROPN
ejpam-6890	343	2	journal	journal	PROPN
ejpam-6890	343	3	of	of	ADP
ejpam-6890	343	4	pure	pure	ADJ
ejpam-6890	343	5	and	and	CCONJ
ejpam-6890	343	6	applied	applied	ADJ
ejpam-6890	343	7	mathematics	mathematic	NOUN
ejpam-6890	343	8	,	,	PUNCT
ejpam-6890	343	9	18(2):5967	18(2):5967	NUM
ejpam-6890	343	10	,	,	PUNCT
ejpam-6890	343	11	2025	2025	NUM
ejpam-6890	343	12	.	.	PUNCT
ejpam-6890	344	1	[	[	X
ejpam-6890	344	2	11	11	NUM
ejpam-6890	344	3	]	]	PUNCT
ejpam-6890	344	4	r.	r.	PROPN
ejpam-6890	344	5	abu	abu	PROPN
ejpam-6890	344	6	awwad	awwad	PROPN
ejpam-6890	344	7	,	,	PUNCT
ejpam-6890	344	8	m.	m.	NOUN
ejpam-6890	344	9	al	al	PROPN
ejpam-6890	344	10	-	-	PUNCT
ejpam-6890	344	11	momani	momani	PROPN
ejpam-6890	344	12	,	,	PUNCT
ejpam-6890	344	13	b.	b.	PROPN
ejpam-6890	344	14	abughazaleh	abughazaleh	PROPN
ejpam-6890	344	15	,	,	PUNCT
ejpam-6890	344	16	a.	a.	PROPN
ejpam-6890	344	17	jaradat	jaradat	PROPN
ejpam-6890	344	18	,	,	PUNCT
ejpam-6890	344	19	and	and	CCONJ
ejpam-6890	344	20	a.	a.	PROPN
ejpam-6890	344	21	farah	farah	PROPN
ejpam-6890	344	22	.	.	PUNCT
ejpam-6890	345	1	the	the	DET
ejpam-6890	345	2	conformable	conformable	ADJ
ejpam-6890	345	3	double	double	ADJ
ejpam-6890	345	4	laplace	laplace	NOUN
ejpam-6890	345	5	-	-	PUNCT
ejpam-6890	345	6	sawi	sawi	NOUN
ejpam-6890	345	7	transform	transform	NOUN
ejpam-6890	345	8	.	.	PUNCT
ejpam-6890	346	1	european	european	PROPN
ejpam-6890	346	2	journal	journal	PROPN
ejpam-6890	346	3	of	of	ADP
ejpam-6890	346	4	pure	pure	ADJ
ejpam-6890	346	5	and	and	CCONJ
ejpam-6890	346	6	applied	applied	ADJ
ejpam-6890	346	7	mathematics	mathematic	NOUN
ejpam-6890	346	8	,	,	PUNCT
ejpam-6890	346	9	18(2):6034	18(2):6034	NUM
ejpam-6890	346	10	,	,	PUNCT
ejpam-6890	346	11	2025	2025	NUM
ejpam-6890	346	12	.	.	PUNCT
ejpam-6890	347	1	[	[	X
ejpam-6890	347	2	12	12	NUM
ejpam-6890	347	3	]	]	PUNCT
ejpam-6890	347	4	m.	m.	NOUN
ejpam-6890	347	5	al	al	PROPN
ejpam-6890	347	6	-	-	PUNCT
ejpam-6890	347	7	momani	momani	PROPN
ejpam-6890	347	8	,	,	PUNCT
ejpam-6890	347	9	a.	a.	PROPN
ejpam-6890	347	10	jaradat	jaradat	PROPN
ejpam-6890	347	11	,	,	PUNCT
ejpam-6890	347	12	b.	b.	PROPN
ejpam-6890	347	13	abughazaleh	abughazaleh	PROPN
ejpam-6890	347	14	,	,	PUNCT
ejpam-6890	347	15	and	and	CCONJ
ejpam-6890	347	16	a.	a.	PROPN
ejpam-6890	347	17	farah	farah	PROPN
ejpam-6890	347	18	.	.	PUNCT
ejpam-6890	348	1	solving	solve	VERB
ejpam-6890	348	2	partial	partial	ADJ
ejpam-6890	348	3	differential	differential	ADJ
ejpam-6890	348	4	equations	equation	NOUN
ejpam-6890	348	5	via	via	ADP
ejpam-6890	348	6	the	the	DET
ejpam-6890	348	7	conformable	conformable	ADJ
ejpam-6890	348	8	double	double	ADJ
ejpam-6890	348	9	ara	ara	NOUN
ejpam-6890	348	10	-	-	PUNCT
ejpam-6890	348	11	sawi	sawi	NOUN
ejpam-6890	348	12	transform	transform	NOUN
ejpam-6890	348	13	.	.	PUNCT
ejpam-6890	349	1	european	european	PROPN
ejpam-6890	349	2	journal	journal	PROPN
ejpam-6890	349	3	of	of	ADP
ejpam-6890	349	4	pure	pure	ADJ
ejpam-6890	349	5	and	and	CCONJ
ejpam-6890	349	6	applied	applied	ADJ
ejpam-6890	349	7	mathematics	mathematic	NOUN
ejpam-6890	349	8	,	,	PUNCT
ejpam-6890	349	9	18(2):6099	18(2):6099	NUM
ejpam-6890	349	10	,	,	PUNCT
ejpam-6890	349	11	2025	2025	NUM
ejpam-6890	349	12	.	.	PUNCT
ejpam-6890	350	1	[	[	X
ejpam-6890	350	2	13	13	NUM
ejpam-6890	350	3	]	]	PUNCT
ejpam-6890	350	4	m.	m.	NOUN
ejpam-6890	350	5	al	al	PROPN
ejpam-6890	350	6	-	-	PUNCT
ejpam-6890	350	7	momani	momani	PROPN
ejpam-6890	350	8	and	and	CCONJ
ejpam-6890	350	9	b.	b.	PROPN
ejpam-6890	350	10	abughazaleh	abughazaleh	PROPN
ejpam-6890	350	11	.	.	PUNCT
ejpam-6890	351	1	the	the	DET
ejpam-6890	351	2	conformable	conformable	ADJ
ejpam-6890	351	3	double	double	ADJ
ejpam-6890	351	4	sumudu	sumudu	NOUN
ejpam-6890	351	5	-	-	PUNCT
ejpam-6890	351	6	shehu	shehu	NOUN
ejpam-6890	351	7	transform	transform	NOUN
ejpam-6890	351	8	and	and	CCONJ
ejpam-6890	351	9	its	its	PRON
ejpam-6890	351	10	properties	property	NOUN
ejpam-6890	351	11	with	with	ADP
ejpam-6890	351	12	applications	application	NOUN
ejpam-6890	351	13	.	.	PUNCT
ejpam-6890	352	1	european	european	ADJ
ejpam-6890	352	2	journal	journal	PROPN
ejpam-6890	352	3	of	of	ADP
ejpam-6890	352	4	pure	pure	ADJ
ejpam-6890	352	5	and	and	CCONJ
ejpam-6890	352	6	applied	applied	ADJ
ejpam-6890	352	7	mathematics	mathematic	NOUN
ejpam-6890	352	8	,	,	PUNCT
ejpam-6890	352	9	18(4):6384	18(4):6384	NUM
ejpam-6890	352	10	,	,	PUNCT
ejpam-6890	352	11	2025	2025	NUM
ejpam-6890	352	12	.	.	PUNCT