id	sid	tid	token	lemma	pos
ejpam-5967	1	1	european	european	PROPN
ejpam-5967	1	2	journal	journal	PROPN
ejpam-5967	1	3	of	of	ADP
ejpam-5967	1	4	pure	pure	ADJ
ejpam-5967	1	5	and	and	CCONJ
ejpam-5967	1	6	applied	applied	ADJ
ejpam-5967	1	7	mathematics	mathematic	NOUN
ejpam-5967	1	8	2025	2025	NUM
ejpam-5967	1	9	,	,	PUNCT
ejpam-5967	1	10	vol	vol	NOUN
ejpam-5967	1	11	.	.	PROPN
ejpam-5967	1	12	18	18	NUM
ejpam-5967	1	13	,	,	PUNCT
ejpam-5967	1	14	issue	issue	NOUN
ejpam-5967	1	15	2	2	NUM
ejpam-5967	1	16	,	,	PUNCT
ejpam-5967	1	17	article	article	NOUN
ejpam-5967	1	18	number	number	NOUN
ejpam-5967	1	19	5967	5967	NUM
ejpam-5967	1	20	issn	issn	PROPN
ejpam-5967	1	21	1307	1307	NUM
ejpam-5967	1	22	-	-	SYM
ejpam-5967	1	23	5543	5543	NUM
ejpam-5967	1	24	–	–	PUNCT
ejpam-5967	1	25	ejpam.com	ejpam.com	X
ejpam-5967	1	26	published	publish	VERB
ejpam-5967	1	27	by	by	ADP
ejpam-5967	1	28	new	new	PROPN
ejpam-5967	1	29	york	york	PROPN
ejpam-5967	1	30	business	business	PROPN
ejpam-5967	1	31	global	global	PROPN
ejpam-5967	1	32	the	the	DET
ejpam-5967	1	33	double	double	ADJ
ejpam-5967	1	34	sumudu	sumudu	NOUN
ejpam-5967	1	35	-	-	PUNCT
ejpam-5967	1	36	sawi	sawi	NOUN
ejpam-5967	1	37	transform	transform	NOUN
ejpam-5967	1	38	raed	raed	PROPN
ejpam-5967	1	39	r.	r.	PROPN
ejpam-5967	1	40	abu	abu	PROPN
ejpam-5967	2	1	awwad1	awwad1	PROPN
ejpam-5967	2	2	,	,	PUNCT
ejpam-5967	2	3	monther	monther	PROPN
ejpam-5967	2	4	al	al	PROPN
ejpam-5967	2	5	-	-	PUNCT
ejpam-5967	2	6	momani2	momani2	PROPN
ejpam-5967	2	7	,	,	PUNCT
ejpam-5967	2	8	baha	baha	NOUN
ejpam-5967	2	9	’	'	PUNCT
ejpam-5967	2	10	abughazaleh3,∗	abughazaleh3,∗	PROPN
ejpam-5967	2	11	,	,	PUNCT
ejpam-5967	2	12	ali	ali	PROPN
ejpam-5967	2	13	jaradat4	jaradat4	PROPN
ejpam-5967	2	14	,	,	PUNCT
ejpam-5967	2	15	abdulkarim	abdulkarim	NOUN
ejpam-5967	2	16	farah3	farah3	PROPN
ejpam-5967	2	17	1	1	NUM
ejpam-5967	2	18	department	department	NOUN
ejpam-5967	2	19	of	of	ADP
ejpam-5967	2	20	mathematics	mathematics	PROPN
ejpam-5967	2	21	,	,	PUNCT
ejpam-5967	2	22	university	university	PROPN
ejpam-5967	2	23	of	of	ADP
ejpam-5967	2	24	petra	petra	PROPN
ejpam-5967	2	25	,	,	PUNCT
ejpam-5967	2	26	amman	amman	PROPN
ejpam-5967	2	27	,	,	PUNCT
ejpam-5967	2	28	jordan	jordan	PROPN
ejpam-5967	2	29	2	2	NUM
ejpam-5967	2	30	department	department	NOUN
ejpam-5967	2	31	of	of	ADP
ejpam-5967	2	32	basic	basic	ADJ
ejpam-5967	2	33	sciences	sciences	PROPN
ejpam-5967	2	34	,	,	PUNCT
ejpam-5967	2	35	al	al	PROPN
ejpam-5967	2	36	-	-	PUNCT
ejpam-5967	2	37	ahliyya	ahliyya	PROPN
ejpam-5967	2	38	amman	amman	PROPN
ejpam-5967	2	39	university	university	PROPN
ejpam-5967	2	40	,	,	PUNCT
ejpam-5967	2	41	amman	amman	PROPN
ejpam-5967	2	42	,	,	PUNCT
ejpam-5967	2	43	jordan	jordan	PROPN
ejpam-5967	2	44	3	3	NUM
ejpam-5967	2	45	department	department	PROPN
ejpam-5967	2	46	of	of	ADP
ejpam-5967	2	47	mathematics	mathematics	PROPN
ejpam-5967	2	48	,	,	PUNCT
ejpam-5967	2	49	isra	isra	PROPN
ejpam-5967	2	50	university	university	PROPN
ejpam-5967	2	51	,	,	PUNCT
ejpam-5967	2	52	amman	amman	PROPN
ejpam-5967	2	53	,	,	PUNCT
ejpam-5967	2	54	jordan	jordan	PROPN
ejpam-5967	2	55	4	4	NUM
ejpam-5967	2	56	department	department	NOUN
ejpam-5967	2	57	of	of	ADP
ejpam-5967	2	58	mathematics	mathematic	NOUN
ejpam-5967	2	59	,	,	PUNCT
ejpam-5967	2	60	amman	amman	PROPN
ejpam-5967	2	61	arab	arab	PROPN
ejpam-5967	2	62	university	university	PROPN
ejpam-5967	2	63	,	,	PUNCT
ejpam-5967	2	64	amman	amman	PROPN
ejpam-5967	2	65	,	,	PUNCT
ejpam-5967	2	66	jordan	jordan	PROPN
ejpam-5967	2	67	abstract	abstract	PROPN
ejpam-5967	2	68	.	.	PUNCT
ejpam-5967	3	1	the	the	DET
ejpam-5967	3	2	paper	paper	NOUN
ejpam-5967	3	3	explores	explore	VERB
ejpam-5967	3	4	integral	integral	ADJ
ejpam-5967	3	5	transforms	transform	NOUN
ejpam-5967	3	6	and	and	CCONJ
ejpam-5967	3	7	their	their	PRON
ejpam-5967	3	8	broader	broad	ADJ
ejpam-5967	3	9	generalizations	generalization	NOUN
ejpam-5967	3	10	.	.	PUNCT
ejpam-5967	4	1	the	the	DET
ejpam-5967	4	2	primary	primary	ADJ
ejpam-5967	4	3	aim	aim	NOUN
ejpam-5967	4	4	is	be	AUX
ejpam-5967	4	5	to	to	PART
ejpam-5967	4	6	develop	develop	VERB
ejpam-5967	4	7	a	a	DET
ejpam-5967	4	8	new	new	ADJ
ejpam-5967	4	9	integral	integral	ADJ
ejpam-5967	4	10	transform	transform	NOUN
ejpam-5967	4	11	that	that	PRON
ejpam-5967	4	12	combines	combine	VERB
ejpam-5967	4	13	the	the	DET
ejpam-5967	4	14	hybrid	hybrid	NOUN
ejpam-5967	4	15	sumudu	sumudu	NOUN
ejpam-5967	4	16	and	and	CCONJ
ejpam-5967	4	17	sawi	sawi	ADJ
ejpam-5967	4	18	transforms	transform	VERB
ejpam-5967	4	19	,	,	PUNCT
ejpam-5967	4	20	investigating	investigate	VERB
ejpam-5967	4	21	their	their	PRON
ejpam-5967	4	22	properties	property	NOUN
ejpam-5967	4	23	,	,	PUNCT
ejpam-5967	4	24	existence	existence	NOUN
ejpam-5967	4	25	,	,	PUNCT
ejpam-5967	4	26	and	and	CCONJ
ejpam-5967	4	27	inversion	inversion	NOUN
ejpam-5967	4	28	theorem	theorem	NOUN
ejpam-5967	4	29	.	.	PUNCT
ejpam-5967	5	1	we	we	PRON
ejpam-5967	5	2	introduce	introduce	VERB
ejpam-5967	5	3	recent	recent	ADJ
ejpam-5967	5	4	findings	finding	NOUN
ejpam-5967	5	5	on	on	ADP
ejpam-5967	5	6	partial	partial	ADJ
ejpam-5967	5	7	differential	differential	ADJ
ejpam-5967	5	8	equations	equation	NOUN
ejpam-5967	5	9	in	in	ADP
ejpam-5967	5	10	higher	high	ADJ
ejpam-5967	5	11	dimensions	dimension	NOUN
ejpam-5967	5	12	and	and	CCONJ
ejpam-5967	5	13	broaden	broaden	VERB
ejpam-5967	5	14	the	the	DET
ejpam-5967	5	15	scope	scope	NOUN
ejpam-5967	5	16	of	of	ADP
ejpam-5967	5	17	the	the	DET
ejpam-5967	5	18	double	double	ADJ
ejpam-5967	5	19	convolution	convolution	NOUN
ejpam-5967	5	20	theorem	theorem	VERB
ejpam-5967	5	21	to	to	PART
ejpam-5967	5	22	encompass	encompass	VERB
ejpam-5967	5	23	two	two	NUM
ejpam-5967	5	24	-	-	PUNCT
ejpam-5967	5	25	dimensional	dimensional	ADJ
ejpam-5967	5	26	scenarios	scenario	NOUN
ejpam-5967	5	27	.	.	PUNCT
ejpam-5967	6	1	utilizing	utilize	VERB
ejpam-5967	6	2	these	these	DET
ejpam-5967	6	3	novel	novel	ADJ
ejpam-5967	6	4	properties	property	NOUN
ejpam-5967	6	5	and	and	CCONJ
ejpam-5967	6	6	theorems	theorem	NOUN
ejpam-5967	6	7	,	,	PUNCT
ejpam-5967	6	8	we	we	PRON
ejpam-5967	6	9	solve	solve	VERB
ejpam-5967	6	10	particular	particular	ADJ
ejpam-5967	6	11	types	type	NOUN
ejpam-5967	6	12	of	of	ADP
ejpam-5967	6	13	differential	differential	ADJ
ejpam-5967	6	14	equations	equation	NOUN
ejpam-5967	6	15	,	,	PUNCT
ejpam-5967	6	16	showcasing	showcase	VERB
ejpam-5967	6	17	their	their	PRON
ejpam-5967	6	18	practical	practical	ADJ
ejpam-5967	6	19	applications	application	NOUN
ejpam-5967	6	20	in	in	ADP
ejpam-5967	6	21	physics	physics	NOUN
ejpam-5967	6	22	and	and	CCONJ
ejpam-5967	6	23	various	various	ADJ
ejpam-5967	6	24	scientific	scientific	ADJ
ejpam-5967	6	25	domains	domain	NOUN
ejpam-5967	6	26	.	.	PUNCT
ejpam-5967	7	1	2020	2020	NUM
ejpam-5967	7	2	mathematics	mathematic	NOUN
ejpam-5967	7	3	subject	subject	NOUN
ejpam-5967	7	4	classifications	classification	NOUN
ejpam-5967	7	5	:	:	PUNCT
ejpam-5967	7	6	44a05	44a05	NUM
ejpam-5967	7	7	key	key	ADJ
ejpam-5967	7	8	words	word	NOUN
ejpam-5967	7	9	and	and	CCONJ
ejpam-5967	7	10	phrases	phrase	NOUN
ejpam-5967	7	11	:	:	PUNCT
ejpam-5967	7	12	sumudu	sumudu	NOUN
ejpam-5967	7	13	transform	transform	NOUN
ejpam-5967	7	14	,	,	PUNCT
ejpam-5967	7	15	sawi	sawi	ADJ
ejpam-5967	7	16	transform	transform	NOUN
ejpam-5967	7	17	,	,	PUNCT
ejpam-5967	7	18	the	the	DET
ejpam-5967	7	19	double	double	ADJ
ejpam-5967	7	20	sumudu	sumudu	NOUN
ejpam-5967	7	21	-	-	PUNCT
ejpam-5967	7	22	sawi	sawi	NOUN
ejpam-5967	7	23	transform	transform	NOUN
ejpam-5967	7	24	.	.	PUNCT
ejpam-5967	8	1	1	1	X
ejpam-5967	8	2	.	.	X
ejpam-5967	8	3	introduction	introduction	NOUN
ejpam-5967	8	4	integral	integral	ADJ
ejpam-5967	8	5	transforms	transform	NOUN
ejpam-5967	8	6	are	be	AUX
ejpam-5967	8	7	powerful	powerful	ADJ
ejpam-5967	8	8	mathematical	mathematical	ADJ
ejpam-5967	8	9	tools	tool	NOUN
ejpam-5967	8	10	that	that	PRON
ejpam-5967	8	11	convert	convert	VERB
ejpam-5967	8	12	functions	function	NOUN
ejpam-5967	8	13	into	into	ADP
ejpam-5967	8	14	different	different	ADJ
ejpam-5967	8	15	domains	domain	NOUN
ejpam-5967	8	16	,	,	PUNCT
ejpam-5967	8	17	making	make	VERB
ejpam-5967	8	18	them	they	PRON
ejpam-5967	8	19	easier	easy	ADJ
ejpam-5967	8	20	to	to	PART
ejpam-5967	8	21	analyze	analyze	VERB
ejpam-5967	8	22	and	and	CCONJ
ejpam-5967	8	23	manipulate	manipulate	VERB
ejpam-5967	8	24	.	.	PUNCT
ejpam-5967	9	1	once	once	ADV
ejpam-5967	9	2	transformed	transform	VERB
ejpam-5967	9	3	,	,	PUNCT
ejpam-5967	9	4	a	a	DET
ejpam-5967	9	5	function	function	NOUN
ejpam-5967	9	6	can	can	AUX
ejpam-5967	9	7	be	be	AUX
ejpam-5967	9	8	reverted	revert	VERB
ejpam-5967	9	9	to	to	ADP
ejpam-5967	9	10	its	its	PRON
ejpam-5967	9	11	original	original	ADJ
ejpam-5967	9	12	form	form	NOUN
ejpam-5967	9	13	using	use	VERB
ejpam-5967	9	14	the	the	DET
ejpam-5967	9	15	inverse	inverse	NOUN
ejpam-5967	9	16	transform	transform	NOUN
ejpam-5967	9	17	.	.	PUNCT
ejpam-5967	10	1	these	these	DET
ejpam-5967	10	2	transformations	transformation	NOUN
ejpam-5967	10	3	play	play	VERB
ejpam-5967	10	4	a	a	DET
ejpam-5967	10	5	crucial	crucial	ADJ
ejpam-5967	10	6	role	role	NOUN
ejpam-5967	10	7	in	in	ADP
ejpam-5967	10	8	engineering	engineering	NOUN
ejpam-5967	10	9	,	,	PUNCT
ejpam-5967	10	10	economics	economic	NOUN
ejpam-5967	10	11	,	,	PUNCT
ejpam-5967	10	12	physics	physics	NOUN
ejpam-5967	10	13	,	,	PUNCT
ejpam-5967	10	14	and	and	CCONJ
ejpam-5967	10	15	chemistry	chemistry	NOUN
ejpam-5967	10	16	,	,	PUNCT
ejpam-5967	10	17	helping	help	VERB
ejpam-5967	10	18	simplify	simplify	VERB
ejpam-5967	10	19	complex	complex	ADJ
ejpam-5967	10	20	real	real	ADJ
ejpam-5967	10	21	-	-	PUNCT
ejpam-5967	10	22	world	world	NOUN
ejpam-5967	10	23	problems	problem	NOUN
ejpam-5967	10	24	.	.	PUNCT
ejpam-5967	11	1	as	as	SCONJ
ejpam-5967	11	2	mathematical	mathematical	ADJ
ejpam-5967	11	3	challenges	challenge	NOUN
ejpam-5967	11	4	grow	grow	VERB
ejpam-5967	11	5	,	,	PUNCT
ejpam-5967	11	6	researchers	researcher	NOUN
ejpam-5967	11	7	continue	continue	VERB
ejpam-5967	11	8	to	to	PART
ejpam-5967	11	9	develop	develop	VERB
ejpam-5967	11	10	more	more	ADJ
ejpam-5967	11	11	general	general	ADJ
ejpam-5967	11	12	classes	class	NOUN
ejpam-5967	11	13	of	of	ADP
ejpam-5967	11	14	differential	differential	ADJ
ejpam-5967	11	15	equations	equation	NOUN
ejpam-5967	11	16	and	and	CCONJ
ejpam-5967	11	17	innovative	innovative	ADJ
ejpam-5967	11	18	analytical	analytical	ADJ
ejpam-5967	11	19	techniques	technique	NOUN
ejpam-5967	11	20	.	.	PUNCT
ejpam-5967	12	1	one	one	NUM
ejpam-5967	12	2	of	of	ADP
ejpam-5967	12	3	the	the	DET
ejpam-5967	12	4	most	most	ADV
ejpam-5967	12	5	widely	widely	ADV
ejpam-5967	12	6	used	use	VERB
ejpam-5967	12	7	integral	integral	ADJ
ejpam-5967	12	8	transforms	transform	NOUN
ejpam-5967	12	9	is	be	AUX
ejpam-5967	12	10	the	the	DET
ejpam-5967	12	11	laplace	laplace	NOUN
ejpam-5967	12	12	transform	transform	NOUN
ejpam-5967	12	13	,	,	PUNCT
ejpam-5967	12	14	introduced	introduce	VERB
ejpam-5967	12	15	in	in	ADP
ejpam-5967	12	16	1780	1780	NUM
ejpam-5967	12	17	.	.	PUNCT
ejpam-5967	13	1	in	in	ADP
ejpam-5967	13	2	recent	recent	ADJ
ejpam-5967	13	3	years	year	NOUN
ejpam-5967	13	4	,	,	PUNCT
ejpam-5967	13	5	new	new	ADJ
ejpam-5967	13	6	transforms	transform	VERB
ejpam-5967	13	7	such	such	ADJ
ejpam-5967	13	8	as	as	ADP
ejpam-5967	13	9	the	the	DET
ejpam-5967	13	10	sumudu	sumudu	NOUN
ejpam-5967	13	11	transform	transform	VERB
ejpam-5967	13	12	in	in	ADP
ejpam-5967	13	13	[	[	X
ejpam-5967	13	14	1	1	NUM
ejpam-5967	13	15	]	]	PUNCT
ejpam-5967	13	16	and	and	CCONJ
ejpam-5967	13	17	sawi	sawi	ADJ
ejpam-5967	13	18	transform	transform	VERB
ejpam-5967	13	19	in	in	ADP
ejpam-5967	13	20	[	[	X
ejpam-5967	13	21	2	2	NUM
ejpam-5967	13	22	]	]	PUNCT
ejpam-5967	13	23	have	have	AUX
ejpam-5967	13	24	gained	gain	VERB
ejpam-5967	13	25	attention	attention	NOUN
ejpam-5967	13	26	for	for	ADP
ejpam-5967	13	27	their	their	PRON
ejpam-5967	13	28	unique	unique	ADJ
ejpam-5967	13	29	properties	property	NOUN
ejpam-5967	13	30	and	and	CCONJ
ejpam-5967	13	31	diverse	diverse	ADJ
ejpam-5967	13	32	applications	application	NOUN
ejpam-5967	13	33	.	.	PUNCT
ejpam-5967	14	1	∗corresponding	∗corresponde	VERB
ejpam-5967	14	2	author	author	NOUN
ejpam-5967	14	3	.	.	PUNCT
ejpam-5967	15	1	doi	doi	PROPN
ejpam-5967	15	2	:	:	PUNCT
ejpam-5967	15	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5967	https://doi.org/10.29020/nybg.ejpam.v18i2.5967	PROPN
ejpam-5967	15	4	email	email	NOUN
ejpam-5967	15	5	addresses	address	NOUN
ejpam-5967	15	6	:	:	PUNCT
ejpam-5967	15	7	rabuawwad@uop.edu.jo	rabuawwad@uop.edu.jo	NOUN
ejpam-5967	15	8	(	(	PUNCT
ejpam-5967	15	9	r.	r.	PROPN
ejpam-5967	15	10	abu	abu	PROPN
ejpam-5967	15	11	awwad	awwad	PROPN
ejpam-5967	15	12	)	)	PUNCT
ejpam-5967	15	13	,	,	PUNCT
ejpam-5967	15	14	montheralmomani72@gmail.com	montheralmomani72@gmail.com	PROPN
ejpam-5967	15	15	(	(	PUNCT
ejpam-5967	15	16	m.	m.	PROPN
ejpam-5967	15	17	al	al	PROPN
ejpam-5967	15	18	-	-	PUNCT
ejpam-5967	15	19	momani	momani	NOUN
ejpam-5967	15	20	)	)	PUNCT
ejpam-5967	15	21	,	,	PUNCT
ejpam-5967	15	22	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-5967	15	23	(	(	PUNCT
ejpam-5967	15	24	b.	b.	PROPN
ejpam-5967	15	25	abughazaleh	abughazaleh	PROPN
ejpam-5967	15	26	)	)	PUNCT
ejpam-5967	15	27	,	,	PUNCT
ejpam-5967	15	28	a.jaradat@aau.edu.jo	a.jaradat@aau.edu.jo	PROPN
ejpam-5967	15	29	(	(	PUNCT
ejpam-5967	15	30	a.	a.	NOUN
ejpam-5967	15	31	jaradat	jaradat	PROPN
ejpam-5967	15	32	)	)	PUNCT
ejpam-5967	15	33	,	,	PUNCT
ejpam-5967	15	34	karim.farah@iu.edu.jo	karim.farah@iu.edu.jo	PROPN
ejpam-5967	15	35	(	(	PUNCT
ejpam-5967	15	36	a.	a.	PROPN
ejpam-5967	15	37	farah	farah	PROPN
ejpam-5967	15	38	)	)	PUNCT
ejpam-5967	15	39	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5967	16	1	1	1	NUM
ejpam-5967	16	2	copyright	copyright	NOUN
ejpam-5967	16	3	:	:	PUNCT
ejpam-5967	16	4	©	©	PROPN
ejpam-5967	16	5	2025	2025	NUM
ejpam-5967	16	6	the	the	DET
ejpam-5967	16	7	author(s	author(s	NOUN
ejpam-5967	16	8	)	)	PUNCT
ejpam-5967	16	9	.	.	PUNCT
ejpam-5967	17	1	(	(	PUNCT
ejpam-5967	17	2	cc	cc	NOUN
ejpam-5967	17	3	by	by	ADP
ejpam-5967	17	4	-	-	PUNCT
ejpam-5967	17	5	nc	nc	PROPN
ejpam-5967	17	6	4.0	4.0	NUM
ejpam-5967	17	7	)	)	PUNCT
ejpam-5967	17	8	r.	r.	PROPN
ejpam-5967	17	9	abu	abu	PROPN
ejpam-5967	17	10	awwad	awwad	PROPN
ejpam-5967	17	11	et	et	PROPN
ejpam-5967	17	12	al	al	PROPN
ejpam-5967	17	13	.	.	PUNCT
ejpam-5967	17	14	/	/	SYM
ejpam-5967	17	15	eur	eur	PROPN
ejpam-5967	17	16	.	.	PUNCT
ejpam-5967	18	1	j.	j.	PROPN
ejpam-5967	18	2	pure	pure	PROPN
ejpam-5967	18	3	appl	appl	PROPN
ejpam-5967	18	4	.	.	PROPN
ejpam-5967	18	5	math	math	PROPN
ejpam-5967	18	6	,	,	PUNCT
ejpam-5967	18	7	18	18	NUM
ejpam-5967	18	8	(	(	PUNCT
ejpam-5967	18	9	2	2	NUM
ejpam-5967	18	10	)	)	PUNCT
ejpam-5967	18	11	(	(	PUNCT
ejpam-5967	18	12	2025	2025	NUM
ejpam-5967	18	13	)	)	PUNCT
ejpam-5967	18	14	,	,	PUNCT
ejpam-5967	18	15	5967	5967	NUM
ejpam-5967	18	16	2	2	NUM
ejpam-5967	18	17	of	of	ADP
ejpam-5967	18	18	17	17	NUM
ejpam-5967	18	19	beyond	beyond	ADP
ejpam-5967	18	20	single	single	ADJ
ejpam-5967	18	21	-	-	PUNCT
ejpam-5967	18	22	variable	variable	NOUN
ejpam-5967	18	23	transforms	transform	VERB
ejpam-5967	18	24	,	,	PUNCT
ejpam-5967	18	25	double	double	ADJ
ejpam-5967	18	26	transforms	transform	NOUN
ejpam-5967	18	27	have	have	AUX
ejpam-5967	18	28	been	be	AUX
ejpam-5967	18	29	developed	develop	VERB
ejpam-5967	18	30	to	to	PART
ejpam-5967	18	31	handle	handle	VERB
ejpam-5967	18	32	multi	multi	ADJ
ejpam-5967	18	33	-	-	ADJ
ejpam-5967	18	34	variable	variable	ADJ
ejpam-5967	18	35	differential	differential	ADJ
ejpam-5967	18	36	equations	equation	NOUN
ejpam-5967	18	37	.	.	PUNCT
ejpam-5967	19	1	among	among	ADP
ejpam-5967	19	2	these	these	PRON
ejpam-5967	19	3	are	be	AUX
ejpam-5967	19	4	the	the	DET
ejpam-5967	19	5	double	double	ADJ
ejpam-5967	19	6	laplace	laplace	NOUN
ejpam-5967	19	7	transform	transform	NOUN
ejpam-5967	19	8	in	in	ADP
ejpam-5967	19	9	[	[	X
ejpam-5967	19	10	3	3	NUM
ejpam-5967	19	11	]	]	PUNCT
ejpam-5967	19	12	,	,	PUNCT
ejpam-5967	19	13	double	double	ADJ
ejpam-5967	19	14	mellin	mellin	PROPN
ejpam-5967	19	15	-	-	PUNCT
ejpam-5967	19	16	ara	ara	ADJ
ejpam-5967	19	17	transform	transform	NOUN
ejpam-5967	19	18	in	in	ADP
ejpam-5967	19	19	[	[	X
ejpam-5967	19	20	4	4	NUM
ejpam-5967	19	21	]	]	PUNCT
ejpam-5967	19	22	,	,	PUNCT
ejpam-5967	19	23	the	the	DET
ejpam-5967	19	24	double	double	ADJ
ejpam-5967	19	25	sumudu	sumudu	NOUN
ejpam-5967	19	26	transform	transform	NOUN
ejpam-5967	19	27	[	[	X
ejpam-5967	19	28	5	5	NUM
ejpam-5967	19	29	]	]	PUNCT
ejpam-5967	19	30	,	,	PUNCT
ejpam-5967	19	31	the	the	DET
ejpam-5967	19	32	double	double	ADJ
ejpam-5967	19	33	sumudu	sumudu	NOUN
ejpam-5967	19	34	-	-	PUNCT
ejpam-5967	19	35	shehu	shehu	NOUN
ejpam-5967	19	36	transform	transform	NOUN
ejpam-5967	19	37	[	[	X
ejpam-5967	19	38	6	6	NUM
ejpam-5967	19	39	]	]	PUNCT
ejpam-5967	19	40	,	,	PUNCT
ejpam-5967	19	41	double	double	ADJ
ejpam-5967	19	42	laplace	laplace	NOUN
ejpam-5967	19	43	-	-	PUNCT
ejpam-5967	19	44	sawi	sawi	NOUN
ejpam-5967	19	45	transform	transform	NOUN
ejpam-5967	19	46	[	[	X
ejpam-5967	19	47	7	7	NUM
ejpam-5967	19	48	]	]	PUNCT
ejpam-5967	19	49	,	,	PUNCT
ejpam-5967	19	50	double	double	ADJ
ejpam-5967	19	51	sawi	sawi	ADJ
ejpam-5967	19	52	transform	transform	NOUN
ejpam-5967	19	53	in	in	ADP
ejpam-5967	19	54	[	[	X
ejpam-5967	19	55	8	8	NUM
ejpam-5967	19	56	]	]	PUNCT
ejpam-5967	19	57	,	,	PUNCT
ejpam-5967	19	58	and	and	CCONJ
ejpam-5967	19	59	the	the	DET
ejpam-5967	19	60	double	double	ADJ
ejpam-5967	19	61	ara	ara	NOUN
ejpam-5967	19	62	-	-	PUNCT
ejpam-5967	19	63	sawi	sawi	ADJ
ejpam-5967	19	64	transform	transform	NOUN
ejpam-5967	19	65	in	in	ADP
ejpam-5967	19	66	[	[	X
ejpam-5967	19	67	9	9	NUM
ejpam-5967	19	68	]	]	PUNCT
ejpam-5967	19	69	.	.	PUNCT
ejpam-5967	20	1	these	these	DET
ejpam-5967	20	2	methods	method	NOUN
ejpam-5967	20	3	provide	provide	VERB
ejpam-5967	20	4	new	new	ADJ
ejpam-5967	20	5	ways	way	NOUN
ejpam-5967	20	6	to	to	PART
ejpam-5967	20	7	solve	solve	VERB
ejpam-5967	20	8	high	high	ADJ
ejpam-5967	20	9	-	-	PUNCT
ejpam-5967	20	10	dimensional	dimensional	ADJ
ejpam-5967	20	11	equations	equation	NOUN
ejpam-5967	20	12	,	,	PUNCT
ejpam-5967	20	13	making	make	VERB
ejpam-5967	20	14	them	they	PRON
ejpam-5967	20	15	essential	essential	ADJ
ejpam-5967	20	16	tools	tool	NOUN
ejpam-5967	20	17	in	in	ADP
ejpam-5967	20	18	modern	modern	ADJ
ejpam-5967	20	19	mathematical	mathematical	ADJ
ejpam-5967	20	20	analysis	analysis	NOUN
ejpam-5967	20	21	.	.	PUNCT
ejpam-5967	21	1	in	in	ADP
ejpam-5967	21	2	this	this	DET
ejpam-5967	21	3	work	work	NOUN
ejpam-5967	21	4	,	,	PUNCT
ejpam-5967	21	5	we	we	PRON
ejpam-5967	21	6	introduce	introduce	VERB
ejpam-5967	21	7	a	a	DET
ejpam-5967	21	8	novel	novel	ADJ
ejpam-5967	21	9	double	double	ADJ
ejpam-5967	21	10	sumudu	sumudu	NOUN
ejpam-5967	21	11	-	-	PUNCT
ejpam-5967	21	12	sawi	sawi	NOUN
ejpam-5967	21	13	transform	transform	NOUN
ejpam-5967	21	14	(	(	PUNCT
ejpam-5967	21	15	ds	ds	ADJ
ejpam-5967	21	16	-	-	PUNCT
ejpam-5967	21	17	swt	swt	NOUN
ejpam-5967	21	18	)	)	PUNCT
ejpam-5967	21	19	designed	design	VERB
ejpam-5967	21	20	to	to	PART
ejpam-5967	21	21	extend	extend	VERB
ejpam-5967	21	22	the	the	DET
ejpam-5967	21	23	scope	scope	NOUN
ejpam-5967	21	24	of	of	ADP
ejpam-5967	21	25	differential	differential	ADJ
ejpam-5967	21	26	equation	equation	NOUN
ejpam-5967	21	27	analysis	analysis	NOUN
ejpam-5967	21	28	.	.	PUNCT
ejpam-5967	22	1	we	we	PRON
ejpam-5967	22	2	explore	explore	VERB
ejpam-5967	22	3	its	its	PRON
ejpam-5967	22	4	fundamental	fundamental	ADJ
ejpam-5967	22	5	properties	property	NOUN
ejpam-5967	22	6	,	,	PUNCT
ejpam-5967	22	7	establishing	establish	VERB
ejpam-5967	22	8	the	the	DET
ejpam-5967	22	9	conditions	condition	NOUN
ejpam-5967	22	10	for	for	ADP
ejpam-5967	22	11	its	its	PRON
ejpam-5967	22	12	existence	existence	NOUN
ejpam-5967	22	13	and	and	CCONJ
ejpam-5967	22	14	demonstrating	demonstrate	VERB
ejpam-5967	22	15	its	its	PRON
ejpam-5967	22	16	power	power	NOUN
ejpam-5967	22	17	in	in	ADP
ejpam-5967	22	18	convolution	convolution	NOUN
ejpam-5967	22	19	theory	theory	NOUN
ejpam-5967	22	20	and	and	CCONJ
ejpam-5967	22	21	derivative	derivative	ADJ
ejpam-5967	22	22	operations	operation	NOUN
ejpam-5967	22	23	.	.	PUNCT
ejpam-5967	23	1	by	by	ADP
ejpam-5967	23	2	applying	apply	VERB
ejpam-5967	23	3	this	this	DET
ejpam-5967	23	4	new	new	ADJ
ejpam-5967	23	5	transform	transform	NOUN
ejpam-5967	23	6	,	,	PUNCT
ejpam-5967	23	7	we	we	PRON
ejpam-5967	23	8	uncover	uncover	VERB
ejpam-5967	23	9	innovative	innovative	ADJ
ejpam-5967	23	10	approaches	approach	NOUN
ejpam-5967	23	11	to	to	ADP
ejpam-5967	23	12	solving	solve	VERB
ejpam-5967	23	13	partial	partial	ADJ
ejpam-5967	23	14	differential	differential	ADJ
ejpam-5967	23	15	equations	equation	NOUN
ejpam-5967	23	16	and	and	CCONJ
ejpam-5967	23	17	integro	integro	ADJ
ejpam-5967	23	18	-	-	PUNCT
ejpam-5967	23	19	differential	differential	NOUN
ejpam-5967	23	20	equations	equation	NOUN
ejpam-5967	23	21	,	,	PUNCT
ejpam-5967	23	22	paving	pave	VERB
ejpam-5967	23	23	the	the	DET
ejpam-5967	23	24	way	way	NOUN
ejpam-5967	23	25	for	for	ADP
ejpam-5967	23	26	more	more	ADV
ejpam-5967	23	27	efficient	efficient	ADJ
ejpam-5967	23	28	mathematical	mathematical	ADJ
ejpam-5967	23	29	tools	tool	NOUN
ejpam-5967	23	30	.	.	PUNCT
ejpam-5967	24	1	2	2	X
ejpam-5967	24	2	.	.	NOUN
ejpam-5967	24	3	sumudu	sumudu	NOUN
ejpam-5967	24	4	and	and	CCONJ
ejpam-5967	24	5	sawi	sawi	PROPN
ejpam-5967	24	6	transforms	transform	VERB
ejpam-5967	24	7	this	this	DET
ejpam-5967	24	8	section	section	NOUN
ejpam-5967	24	9	offers	offer	VERB
ejpam-5967	24	10	an	an	DET
ejpam-5967	24	11	overview	overview	NOUN
ejpam-5967	24	12	of	of	ADP
ejpam-5967	24	13	the	the	DET
ejpam-5967	24	14	individual	individual	NOUN
ejpam-5967	24	15	transforms	transform	VERB
ejpam-5967	24	16	,	,	PUNCT
ejpam-5967	24	17	emphasizing	emphasize	VERB
ejpam-5967	24	18	the	the	DET
ejpam-5967	24	19	key	key	ADJ
ejpam-5967	24	20	properties	property	NOUN
ejpam-5967	24	21	of	of	ADP
ejpam-5967	24	22	the	the	DET
ejpam-5967	24	23	sumudu	sumudu	NOUN
ejpam-5967	24	24	and	and	CCONJ
ejpam-5967	24	25	sawi	sawi	ADJ
ejpam-5967	24	26	transforms	transform	VERB
ejpam-5967	24	27	,	,	PUNCT
ejpam-5967	24	28	and	and	CCONJ
ejpam-5967	24	29	highlighting	highlight	VERB
ejpam-5967	24	30	their	their	PRON
ejpam-5967	24	31	distinct	distinct	ADJ
ejpam-5967	24	32	features	feature	NOUN
ejpam-5967	24	33	and	and	CCONJ
ejpam-5967	24	34	applications	application	NOUN
ejpam-5967	24	35	.	.	PUNCT
ejpam-5967	25	1	2.1	2.1	NUM
ejpam-5967	25	2	.	.	PUNCT
ejpam-5967	25	3	sumudu	sumudu	NOUN
ejpam-5967	25	4	transform	transform	NOUN
ejpam-5967	25	5	definition	definition	NOUN
ejpam-5967	25	6	1	1	NUM
ejpam-5967	25	7	.	.	PUNCT
ejpam-5967	26	1	the	the	DET
ejpam-5967	26	2	sumudu	sumudu	NOUN
ejpam-5967	26	3	transform	transform	NOUN
ejpam-5967	26	4	of	of	ADP
ejpam-5967	26	5	a	a	DET
ejpam-5967	26	6	continuous	continuous	ADJ
ejpam-5967	26	7	function	function	NOUN
ejpam-5967	26	8	r(ξ	r(ξ	PROPN
ejpam-5967	26	9	)	)	PUNCT
ejpam-5967	26	10	on	on	ADP
ejpam-5967	26	11	(	(	PUNCT
ejpam-5967	26	12	0,∞	0,∞	NOUN
ejpam-5967	26	13	)	)	PUNCT
ejpam-5967	26	14	is	be	AUX
ejpam-5967	26	15	defined	define	VERB
ejpam-5967	26	16	as	as	SCONJ
ejpam-5967	26	17	follows	follow	VERB
ejpam-5967	26	18	r(δ	r(δ	PROPN
ejpam-5967	26	19	)	)	PUNCT
ejpam-5967	26	20	=	=	SYM
ejpam-5967	26	21	s(r(ξ	s(r(ξ	PROPN
ejpam-5967	26	22	)	)	PUNCT
ejpam-5967	26	23	)	)	PUNCT
ejpam-5967	27	1	=	=	SYM
ejpam-5967	27	2	1	1	NUM
ejpam-5967	27	3	δ	δ	PROPN
ejpam-5967	27	4	∞∫	∞∫	PROPN
ejpam-5967	27	5	0	0	NUM
ejpam-5967	28	1	e−	e−	PROPN
ejpam-5967	28	2	ξ	ξ	PROPN
ejpam-5967	28	3	δ	δ	PROPN
ejpam-5967	28	4	r(ξ)dξ	r(ξ)dξ	PROPN
ejpam-5967	28	5	,	,	PUNCT
ejpam-5967	28	6	δ	δ	PROPN
ejpam-5967	28	7	∈	∈	PROPN
ejpam-5967	28	8	c.	c.	NOUN
ejpam-5967	28	9	the	the	DET
ejpam-5967	28	10	fundamental	fundamental	ADJ
ejpam-5967	28	11	properties	property	NOUN
ejpam-5967	28	12	of	of	ADP
ejpam-5967	28	13	the	the	DET
ejpam-5967	28	14	sumudu	sumudu	NOUN
ejpam-5967	28	15	transform	transform	NOUN
ejpam-5967	28	16	are	be	AUX
ejpam-5967	28	17	presented	present	VERB
ejpam-5967	28	18	as	as	SCONJ
ejpam-5967	28	19	follows	follow	VERB
ejpam-5967	28	20	:	:	PUNCT
ejpam-5967	28	21	let	let	VERB
ejpam-5967	28	22	r(δ	r(δ	NOUN
ejpam-5967	28	23	)	)	PUNCT
ejpam-5967	28	24	=	=	SYM
ejpam-5967	28	25	s(r(ξ	s(r(ξ	PROPN
ejpam-5967	28	26	)	)	PUNCT
ejpam-5967	28	27	)	)	PUNCT
ejpam-5967	28	28	,	,	PUNCT
ejpam-5967	28	29	then	then	ADV
ejpam-5967	28	30	for	for	ADP
ejpam-5967	28	31	nonzero	nonzero	PROPN
ejpam-5967	28	32	constants	constant	NOUN
ejpam-5967	28	33	β	β	X
ejpam-5967	28	34	and	and	CCONJ
ejpam-5967	28	35	γ	γ	X
ejpam-5967	28	36	,	,	PUNCT
ejpam-5967	28	37	we	we	PRON
ejpam-5967	28	38	have	have	VERB
ejpam-5967	28	39	s(βr1(ξ	s(βr1(ξ	PRON
ejpam-5967	28	40	)	)	PUNCT
ejpam-5967	29	1	+	+	CCONJ
ejpam-5967	29	2	γr2(ξ	γr2(ξ	PROPN
ejpam-5967	29	3	)	)	PUNCT
ejpam-5967	29	4	)	)	PUNCT
ejpam-5967	30	1	=	=	PUNCT
ejpam-5967	30	2	βs(r1(ξ	βs(r1(ξ	X
ejpam-5967	30	3	)	)	PUNCT
ejpam-5967	30	4	)	)	PUNCT
ejpam-5967	31	1	+	+	CCONJ
ejpam-5967	31	2	γs(r2(ξ	γs(r2(ξ	NUM
ejpam-5967	31	3	)	)	PUNCT
ejpam-5967	31	4	)	)	PUNCT
ejpam-5967	31	5	,	,	PUNCT
ejpam-5967	31	6	(	(	PUNCT
ejpam-5967	31	7	1	1	X
ejpam-5967	31	8	)	)	PUNCT
ejpam-5967	31	9	where	where	SCONJ
ejpam-5967	31	10	r1(ξ	r1(ξ	X
ejpam-5967	31	11	)	)	PUNCT
ejpam-5967	31	12	and	and	CCONJ
ejpam-5967	31	13	r2(ξ	r2(ξ	NOUN
ejpam-5967	31	14	)	)	PUNCT
ejpam-5967	31	15	are	be	AUX
ejpam-5967	31	16	continuous	continuous	ADJ
ejpam-5967	31	17	functions	function	NOUN
ejpam-5967	31	18	on	on	ADP
ejpam-5967	31	19	(	(	PUNCT
ejpam-5967	31	20	0,∞	0,∞	NUM
ejpam-5967	31	21	)	)	PUNCT
ejpam-5967	31	22	.	.	PUNCT
ejpam-5967	32	1	s(ξβ	s(ξβ	NOUN
ejpam-5967	32	2	)	)	PUNCT
ejpam-5967	32	3	=	=	SYM
ejpam-5967	33	1	γ(β	γ(β	PROPN
ejpam-5967	33	2	+	+	CCONJ
ejpam-5967	33	3	1)δβ	1)δβ	NUM
ejpam-5967	33	4	,	,	PUNCT
ejpam-5967	33	5	(	(	PUNCT
ejpam-5967	33	6	2	2	X
ejpam-5967	33	7	)	)	PUNCT
ejpam-5967	33	8	s(eβξ	s(eβξ	NOUN
ejpam-5967	33	9	)	)	PUNCT
ejpam-5967	33	10	=	=	SYM
ejpam-5967	33	11	1	1	NUM
ejpam-5967	33	12	1−	1−	NUM
ejpam-5967	33	13	δβ	δβ	NOUN
ejpam-5967	33	14	,	,	PUNCT
ejpam-5967	33	15	β	β	X
ejpam-5967	33	16	∈	∈	PROPN
ejpam-5967	33	17	r	r	NOUN
ejpam-5967	33	18	,	,	PUNCT
ejpam-5967	33	19	(	(	PUNCT
ejpam-5967	33	20	3	3	X
ejpam-5967	33	21	)	)	PUNCT
ejpam-5967	33	22	s(r′(ξ	s(r′(ξ	PROPN
ejpam-5967	33	23	)	)	PUNCT
ejpam-5967	33	24	)	)	PUNCT
ejpam-5967	34	1	=	=	PUNCT
ejpam-5967	34	2	r(δ	r(δ	NOUN
ejpam-5967	34	3	)	)	PUNCT
ejpam-5967	34	4	δ	δ	PROPN
ejpam-5967	34	5	−	−	PROPN
ejpam-5967	34	6	r(0	r(0	PROPN
ejpam-5967	34	7	)	)	PUNCT
ejpam-5967	34	8	δ	δ	PROPN
ejpam-5967	34	9	,	,	PUNCT
ejpam-5967	34	10	(	(	PUNCT
ejpam-5967	34	11	4	4	X
ejpam-5967	34	12	)	)	PUNCT
ejpam-5967	34	13	r.	r.	PROPN
ejpam-5967	34	14	abu	abu	PROPN
ejpam-5967	34	15	awwad	awwad	PROPN
ejpam-5967	34	16	et	et	PROPN
ejpam-5967	34	17	al	al	PROPN
ejpam-5967	34	18	.	.	PUNCT
ejpam-5967	34	19	/	/	SYM
ejpam-5967	34	20	eur	eur	PROPN
ejpam-5967	34	21	.	.	PUNCT
ejpam-5967	35	1	j.	j.	PROPN
ejpam-5967	35	2	pure	pure	PROPN
ejpam-5967	35	3	appl	appl	PROPN
ejpam-5967	35	4	.	.	PROPN
ejpam-5967	35	5	math	math	PROPN
ejpam-5967	35	6	,	,	PUNCT
ejpam-5967	35	7	18	18	NUM
ejpam-5967	35	8	(	(	PUNCT
ejpam-5967	35	9	2	2	NUM
ejpam-5967	35	10	)	)	PUNCT
ejpam-5967	35	11	(	(	PUNCT
ejpam-5967	35	12	2025	2025	NUM
ejpam-5967	35	13	)	)	PUNCT
ejpam-5967	35	14	,	,	PUNCT
ejpam-5967	35	15	5967	5967	NUM
ejpam-5967	35	16	3	3	NUM
ejpam-5967	35	17	of	of	ADP
ejpam-5967	35	18	17	17	NUM
ejpam-5967	35	19	s(r′′(ξ	s(r′′(ξ	PROPN
ejpam-5967	35	20	)	)	PUNCT
ejpam-5967	35	21	)	)	PUNCT
ejpam-5967	36	1	=	=	PUNCT
ejpam-5967	36	2	r(δ	r(δ	NOUN
ejpam-5967	36	3	)	)	PUNCT
ejpam-5967	36	4	δ2	δ2	VERB
ejpam-5967	36	5	−	−	PROPN
ejpam-5967	36	6	r(0	r(0	PROPN
ejpam-5967	36	7	)	)	PUNCT
ejpam-5967	36	8	δ2	δ2	VERB
ejpam-5967	36	9	−	−	PROPN
ejpam-5967	36	10	r′(0	r′(0	PROPN
ejpam-5967	36	11	)	)	PUNCT
ejpam-5967	36	12	δ	δ	PROPN
ejpam-5967	36	13	.	.	PUNCT
ejpam-5967	37	1	(	(	PUNCT
ejpam-5967	37	2	5	5	NUM
ejpam-5967	37	3	)	)	PUNCT
ejpam-5967	37	4	2.2	2.2	NUM
ejpam-5967	37	5	.	.	PUNCT
ejpam-5967	38	1	the	the	DET
ejpam-5967	38	2	sawi	sawi	ADJ
ejpam-5967	38	3	transform	transform	NOUN
ejpam-5967	38	4	definition	definition	NOUN
ejpam-5967	38	5	2	2	NUM
ejpam-5967	38	6	.	.	PUNCT
ejpam-5967	39	1	the	the	DET
ejpam-5967	39	2	sawi	sawi	ADJ
ejpam-5967	39	3	transform	transform	NOUN
ejpam-5967	39	4	of	of	ADP
ejpam-5967	39	5	a	a	DET
ejpam-5967	39	6	continuous	continuous	ADJ
ejpam-5967	39	7	function	function	NOUN
ejpam-5967	39	8	f(χ	f(χ	PROPN
ejpam-5967	39	9	)	)	PUNCT
ejpam-5967	39	10	on	on	ADP
ejpam-5967	39	11	(	(	PUNCT
ejpam-5967	39	12	0,∞	0,∞	NOUN
ejpam-5967	39	13	)	)	PUNCT
ejpam-5967	39	14	expressed	express	VERB
ejpam-5967	39	15	as	as	SCONJ
ejpam-5967	39	16	follows	follow	VERB
ejpam-5967	39	17	f	f	PROPN
ejpam-5967	39	18	(	(	PUNCT
ejpam-5967	39	19	ϵ	ϵ	NOUN
ejpam-5967	39	20	)	)	PUNCT
ejpam-5967	39	21	=	=	SYM
ejpam-5967	39	22	w	w	PROPN
ejpam-5967	39	23	(	(	PUNCT
ejpam-5967	39	24	f(χ	f(χ	PROPN
ejpam-5967	39	25	)	)	PUNCT
ejpam-5967	39	26	)	)	PUNCT
ejpam-5967	40	1	=	=	SYM
ejpam-5967	40	2	1	1	NUM
ejpam-5967	40	3	ϵ2	ϵ2	PROPN
ejpam-5967	40	4	∞∫	∞∫	PROPN
ejpam-5967	40	5	0	0	NUM
ejpam-5967	41	1	e−	e−	PROPN
ejpam-5967	41	2	χ	χ	X
ejpam-5967	41	3	ϵ	ϵ	X
ejpam-5967	41	4	f(χ)dχ	f(χ)dχ	PROPN
ejpam-5967	41	5	.	.	PUNCT
ejpam-5967	42	1	let	let	VERB
ejpam-5967	42	2	us	we	PRON
ejpam-5967	42	3	examine	examine	VERB
ejpam-5967	42	4	the	the	DET
ejpam-5967	42	5	fundamental	fundamental	ADJ
ejpam-5967	42	6	properties	property	NOUN
ejpam-5967	42	7	that	that	PRON
ejpam-5967	42	8	characterize	characterize	VERB
ejpam-5967	42	9	the	the	DET
ejpam-5967	42	10	sawi	sawi	ADJ
ejpam-5967	42	11	transform	transform	NOUN
ejpam-5967	42	12	.	.	PUNCT
ejpam-5967	42	13	suppose	suppose	VERB
ejpam-5967	42	14	that	that	SCONJ
ejpam-5967	42	15	f1(ϵ	f1(ϵ	PROPN
ejpam-5967	42	16	)	)	PUNCT
ejpam-5967	42	17	=	=	SYM
ejpam-5967	43	1	w	w	PROPN
ejpam-5967	43	2	(	(	PUNCT
ejpam-5967	43	3	f1(χ	f1(χ	PROPN
ejpam-5967	43	4	)	)	PUNCT
ejpam-5967	43	5	)	)	PUNCT
ejpam-5967	43	6	and	and	CCONJ
ejpam-5967	43	7	f2(ϵ	f2(ϵ	NUM
ejpam-5967	43	8	)	)	PUNCT
ejpam-5967	43	9	=	=	SYM
ejpam-5967	43	10	w	w	PROPN
ejpam-5967	43	11	(	(	PUNCT
ejpam-5967	43	12	f2(χ	f2(χ	NOUN
ejpam-5967	43	13	)	)	PUNCT
ejpam-5967	43	14	)	)	PUNCT
ejpam-5967	43	15	,	,	PUNCT
ejpam-5967	43	16	with	with	ADP
ejpam-5967	43	17	u	u	NOUN
ejpam-5967	43	18	and	and	CCONJ
ejpam-5967	43	19	v	v	NOUN
ejpam-5967	43	20	as	as	ADP
ejpam-5967	43	21	nonzero	nonzero	ADJ
ejpam-5967	43	22	real	real	ADJ
ejpam-5967	43	23	numbers	number	NOUN
ejpam-5967	43	24	,	,	PUNCT
ejpam-5967	43	25	the	the	DET
ejpam-5967	43	26	following	follow	VERB
ejpam-5967	43	27	properties	property	NOUN
ejpam-5967	43	28	hold	hold	VERB
ejpam-5967	43	29	w	w	PROPN
ejpam-5967	43	30	(	(	PUNCT
ejpam-5967	43	31	uf1(χ	uf1(χ	NOUN
ejpam-5967	43	32	)	)	PUNCT
ejpam-5967	43	33	+	+	NUM
ejpam-5967	43	34	vf2(χ	vf2(χ	NOUN
ejpam-5967	43	35	)	)	PUNCT
ejpam-5967	43	36	)	)	PUNCT
ejpam-5967	44	1	=	=	SYM
ejpam-5967	44	2	uw	uw	PROPN
ejpam-5967	44	3	(	(	PUNCT
ejpam-5967	44	4	f1(χ	f1(χ	PROPN
ejpam-5967	44	5	)	)	PUNCT
ejpam-5967	44	6	)	)	PUNCT
ejpam-5967	45	1	+	+	CCONJ
ejpam-5967	45	2	vw	vw	PROPN
ejpam-5967	45	3	(	(	PUNCT
ejpam-5967	45	4	f2(χ	f2(χ	NOUN
ejpam-5967	45	5	)	)	PUNCT
ejpam-5967	45	6	)	)	PUNCT
ejpam-5967	45	7	,	,	PUNCT
ejpam-5967	45	8	(	(	PUNCT
ejpam-5967	45	9	6	6	NUM
ejpam-5967	45	10	)	)	PUNCT
ejpam-5967	45	11	w	w	NOUN
ejpam-5967	45	12	(	(	PUNCT
ejpam-5967	45	13	χu	χu	NOUN
ejpam-5967	45	14	)	)	PUNCT
ejpam-5967	45	15	=	=	PUNCT
ejpam-5967	45	16	γ(u+	γ(u+	PROPN
ejpam-5967	45	17	1)ϵu−1	1)ϵu−1	NUM
ejpam-5967	45	18	,	,	PUNCT
ejpam-5967	45	19	(	(	PUNCT
ejpam-5967	45	20	7	7	X
ejpam-5967	45	21	)	)	PUNCT
ejpam-5967	45	22	w	w	NOUN
ejpam-5967	45	23	(	(	PUNCT
ejpam-5967	45	24	evχ	evχ	NOUN
ejpam-5967	45	25	)	)	PUNCT
ejpam-5967	45	26	=	=	SYM
ejpam-5967	45	27	1	1	NUM
ejpam-5967	45	28	ϵ	ϵ	X
ejpam-5967	45	29	(	(	PUNCT
ejpam-5967	45	30	1−	1−	NUM
ejpam-5967	45	31	vϵ	vϵ	ADJ
ejpam-5967	45	32	)	)	PUNCT
ejpam-5967	45	33	,	,	PUNCT
ejpam-5967	45	34	(	(	PUNCT
ejpam-5967	45	35	8)	8)	NUM
ejpam-5967	45	36	w	w	NOUN
ejpam-5967	45	37	(	(	PUNCT
ejpam-5967	45	38	f	f	PROPN
ejpam-5967	45	39	′(χ	′(χ	NOUN
ejpam-5967	45	40	)	)	PUNCT
ejpam-5967	45	41	)	)	PUNCT
ejpam-5967	46	1	=	=	SYM
ejpam-5967	47	1	1	1	NUM
ejpam-5967	47	2	ϵ	ϵ	X
ejpam-5967	47	3	f	f	X
ejpam-5967	47	4	(	(	PUNCT
ejpam-5967	47	5	ϵ)−	ϵ)−	NOUN
ejpam-5967	47	6	1	1	NUM
ejpam-5967	47	7	ϵ2	ϵ2	ADJ
ejpam-5967	47	8	f(0	f(0	NOUN
ejpam-5967	47	9	)	)	PUNCT
ejpam-5967	47	10	,	,	PUNCT
ejpam-5967	47	11	(	(	PUNCT
ejpam-5967	47	12	9	9	X
ejpam-5967	47	13	)	)	PUNCT
ejpam-5967	47	14	w	w	NOUN
ejpam-5967	47	15	(	(	PUNCT
ejpam-5967	47	16	f	f	PROPN
ejpam-5967	47	17	′′(χ	′′(χ	PROPN
ejpam-5967	47	18	)	)	PUNCT
ejpam-5967	47	19	)	)	PUNCT
ejpam-5967	48	1	=	=	SYM
ejpam-5967	48	2	1	1	NUM
ejpam-5967	48	3	ϵ2	ϵ2	PROPN
ejpam-5967	48	4	f	f	X
ejpam-5967	48	5	(	(	PUNCT
ejpam-5967	48	6	ϵ)−	ϵ)−	NOUN
ejpam-5967	48	7	1	1	NUM
ejpam-5967	48	8	ϵ3	ϵ3	INTJ
ejpam-5967	48	9	f(0)−	f(0)−	NOUN
ejpam-5967	48	10	1	1	NUM
ejpam-5967	48	11	ϵ2	ϵ2	PROPN
ejpam-5967	48	12	f	f	PROPN
ejpam-5967	48	13	′(0	′(0	NOUN
ejpam-5967	48	14	)	)	PUNCT
ejpam-5967	48	15	.	.	PUNCT
ejpam-5967	49	1	(	(	PUNCT
ejpam-5967	49	2	10	10	NUM
ejpam-5967	49	3	)	)	PUNCT
ejpam-5967	49	4	3	3	NUM
ejpam-5967	49	5	.	.	PUNCT
ejpam-5967	50	1	the	the	DET
ejpam-5967	50	2	double	double	ADJ
ejpam-5967	50	3	sumudu	sumudu	NOUN
ejpam-5967	50	4	-	-	PUNCT
ejpam-5967	50	5	sawi	sawi	NOUN
ejpam-5967	50	6	transform	transform	NOUN
ejpam-5967	50	7	this	this	DET
ejpam-5967	50	8	section	section	NOUN
ejpam-5967	50	9	introduces	introduce	VERB
ejpam-5967	50	10	the	the	DET
ejpam-5967	50	11	double	double	ADJ
ejpam-5967	50	12	sumudu	sumudu	NOUN
ejpam-5967	50	13	-	-	PUNCT
ejpam-5967	50	14	sawi	sawi	NOUN
ejpam-5967	50	15	transformation	transformation	NOUN
ejpam-5967	50	16	(	(	PUNCT
ejpam-5967	50	17	ds	ds	PROPN
ejpam-5967	50	18	-	-	PUNCT
ejpam-5967	50	19	swt	swt	NOUN
ejpam-5967	50	20	)	)	PUNCT
ejpam-5967	50	21	.	.	PUNCT
ejpam-5967	51	1	we	we	PRON
ejpam-5967	51	2	begin	begin	VERB
ejpam-5967	51	3	by	by	ADP
ejpam-5967	51	4	outlining	outline	VERB
ejpam-5967	51	5	its	its	PRON
ejpam-5967	51	6	fundamental	fundamental	ADJ
ejpam-5967	51	7	properties	property	NOUN
ejpam-5967	51	8	,	,	PUNCT
ejpam-5967	51	9	including	include	VERB
ejpam-5967	51	10	linearity	linearity	NOUN
ejpam-5967	51	11	and	and	CCONJ
ejpam-5967	51	12	inversion	inversion	NOUN
ejpam-5967	51	13	.	.	PUNCT
ejpam-5967	52	1	next	next	ADV
ejpam-5967	52	2	,	,	PUNCT
ejpam-5967	52	3	we	we	PRON
ejpam-5967	52	4	present	present	VERB
ejpam-5967	52	5	a	a	DET
ejpam-5967	52	6	new	new	ADJ
ejpam-5967	52	7	result	result	NOUN
ejpam-5967	52	8	related	relate	VERB
ejpam-5967	52	9	to	to	ADP
ejpam-5967	52	10	partial	partial	ADJ
ejpam-5967	52	11	derivatives	derivative	NOUN
ejpam-5967	52	12	,	,	PUNCT
ejpam-5967	52	13	as	as	ADV
ejpam-5967	52	14	well	well	ADV
ejpam-5967	52	15	as	as	ADP
ejpam-5967	52	16	a	a	DET
ejpam-5967	52	17	novel	novel	ADJ
ejpam-5967	52	18	outcome	outcome	NOUN
ejpam-5967	52	19	regarding	regard	VERB
ejpam-5967	52	20	the	the	DET
ejpam-5967	52	21	convolution	convolution	NOUN
ejpam-5967	52	22	theorem	theorem	VERB
ejpam-5967	52	23	.	.	PUNCT
ejpam-5967	53	1	additionally	additionally	ADV
ejpam-5967	53	2	,	,	PUNCT
ejpam-5967	53	3	we	we	PRON
ejpam-5967	53	4	explain	explain	VERB
ejpam-5967	53	5	how	how	SCONJ
ejpam-5967	53	6	these	these	DET
ejpam-5967	53	7	results	result	NOUN
ejpam-5967	53	8	are	be	AUX
ejpam-5967	53	9	applied	apply	VERB
ejpam-5967	53	10	to	to	PART
ejpam-5967	53	11	compute	compute	VERB
ejpam-5967	53	12	the	the	DET
ejpam-5967	53	13	ds	ds	NOUN
ejpam-5967	53	14	-	-	PUNCT
ejpam-5967	53	15	swt	swt	NOUN
ejpam-5967	53	16	of	of	ADP
ejpam-5967	53	17	several	several	ADJ
ejpam-5967	53	18	basic	basic	ADJ
ejpam-5967	53	19	functions	function	NOUN
ejpam-5967	53	20	.	.	PUNCT
ejpam-5967	54	1	the	the	DET
ejpam-5967	54	2	definition	definition	NOUN
ejpam-5967	54	3	of	of	ADP
ejpam-5967	54	4	the	the	DET
ejpam-5967	54	5	ds	ds	PROPN
ejpam-5967	54	6	-	-	PUNCT
ejpam-5967	54	7	swt	swt	PROPN
ejpam-5967	54	8	is	be	AUX
ejpam-5967	54	9	:	:	PUNCT
ejpam-5967	54	10	h(δ	h(δ	NOUN
ejpam-5967	54	11	,	,	PUNCT
ejpam-5967	54	12	ϵ	ϵ	X
ejpam-5967	54	13	)	)	PUNCT
ejpam-5967	54	14	=	=	SYM
ejpam-5967	54	15	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	54	16	,	,	PUNCT
ejpam-5967	54	17	χ	χ	NOUN
ejpam-5967	54	18	)	)	PUNCT
ejpam-5967	54	19	)	)	PUNCT
ejpam-5967	55	1	=	=	SYM
ejpam-5967	55	2	1	1	NUM
ejpam-5967	55	3	δϵ2	δϵ2	NOUN
ejpam-5967	55	4	∞∫	∞∫	PROPN
ejpam-5967	55	5	0	0	NUM
ejpam-5967	56	1	∞∫	∞∫	PROPN
ejpam-5967	56	2	0	0	NUM
ejpam-5967	57	1	e−	e−	PROPN
ejpam-5967	57	2	ξ	ξ	PROPN
ejpam-5967	57	3	δ	δ	PROPN
ejpam-5967	57	4	−χ	−χ	VERB
ejpam-5967	57	5	ϵ	ϵ	ADP
ejpam-5967	57	6	h(ξ	h(ξ	PROPN
ejpam-5967	57	7	,	,	PUNCT
ejpam-5967	57	8	χ	χ	ADJ
ejpam-5967	57	9	)	)	PUNCT
ejpam-5967	57	10	dξdχ	dξdχ	NOUN
ejpam-5967	57	11	,	,	PUNCT
ejpam-5967	57	12	(	(	PUNCT
ejpam-5967	57	13	11	11	NUM
ejpam-5967	57	14	)	)	PUNCT
ejpam-5967	57	15	where	where	SCONJ
ejpam-5967	57	16	h(ξ	h(ξ	PROPN
ejpam-5967	57	17	,	,	PUNCT
ejpam-5967	57	18	χ	χ	X
ejpam-5967	57	19	)	)	PUNCT
ejpam-5967	57	20	is	be	AUX
ejpam-5967	57	21	a	a	DET
ejpam-5967	57	22	continuous	continuous	ADJ
ejpam-5967	57	23	function	function	NOUN
ejpam-5967	57	24	on	on	ADP
ejpam-5967	57	25	(	(	PUNCT
ejpam-5967	57	26	0,∞)×	0,∞)×	NUM
ejpam-5967	57	27	(	(	PUNCT
ejpam-5967	57	28	0,∞	0,∞	NUM
ejpam-5967	57	29	)	)	PUNCT
ejpam-5967	57	30	.	.	PUNCT
ejpam-5967	58	1	clearly	clearly	ADV
ejpam-5967	58	2	,	,	PUNCT
ejpam-5967	58	3	sξwχ(h(ξ	sξwχ(h(ξ	X
ejpam-5967	58	4	,	,	PUNCT
ejpam-5967	58	5	χ	χ	NOUN
ejpam-5967	58	6	)	)	PUNCT
ejpam-5967	58	7	)	)	PUNCT
ejpam-5967	58	8	is	be	AUX
ejpam-5967	58	9	linear	linear	ADJ
ejpam-5967	58	10	transformation	transformation	NOUN
ejpam-5967	58	11	.	.	PUNCT
ejpam-5967	59	1	in	in	ADP
ejpam-5967	59	2	fact	fact	NOUN
ejpam-5967	59	3	,	,	PUNCT
ejpam-5967	59	4	for	for	ADP
ejpam-5967	59	5	nonzero	nonzero	PROPN
ejpam-5967	59	6	constants	constant	NOUN
ejpam-5967	59	7	u	u	PROPN
ejpam-5967	59	8	and	and	CCONJ
ejpam-5967	59	9	v	v	NOUN
ejpam-5967	59	10	,	,	PUNCT
ejpam-5967	59	11	we	we	PRON
ejpam-5967	59	12	have	have	VERB
ejpam-5967	59	13	sξwχ(uh1(ξ	sξwχ(uh1(ξ	PROPN
ejpam-5967	59	14	,	,	PUNCT
ejpam-5967	59	15	χ)+vh2(ξ	χ)+vh2(ξ	PROPN
ejpam-5967	59	16	,	,	PUNCT
ejpam-5967	59	17	χ	χ	NOUN
ejpam-5967	59	18	)	)	PUNCT
ejpam-5967	59	19	)	)	PUNCT
ejpam-5967	60	1	r.	r.	PROPN
ejpam-5967	60	2	abu	abu	PROPN
ejpam-5967	60	3	awwad	awwad	PROPN
ejpam-5967	60	4	et	et	PROPN
ejpam-5967	60	5	al	al	PROPN
ejpam-5967	60	6	.	.	PUNCT
ejpam-5967	60	7	/	/	SYM
ejpam-5967	60	8	eur	eur	PROPN
ejpam-5967	60	9	.	.	PUNCT
ejpam-5967	61	1	j.	j.	PROPN
ejpam-5967	61	2	pure	pure	PROPN
ejpam-5967	61	3	appl	appl	PROPN
ejpam-5967	61	4	.	.	PROPN
ejpam-5967	61	5	math	math	PROPN
ejpam-5967	61	6	,	,	PUNCT
ejpam-5967	61	7	18	18	NUM
ejpam-5967	61	8	(	(	PUNCT
ejpam-5967	61	9	2	2	NUM
ejpam-5967	61	10	)	)	PUNCT
ejpam-5967	61	11	(	(	PUNCT
ejpam-5967	61	12	2025	2025	NUM
ejpam-5967	61	13	)	)	PUNCT
ejpam-5967	61	14	,	,	PUNCT
ejpam-5967	61	15	5967	5967	NUM
ejpam-5967	61	16	4	4	NUM
ejpam-5967	61	17	of	of	ADP
ejpam-5967	61	18	17	17	NUM
ejpam-5967	61	19	=	=	SYM
ejpam-5967	61	20	1	1	NUM
ejpam-5967	61	21	δϵ2	δϵ2	NOUN
ejpam-5967	61	22	∞∫	∞∫	PROPN
ejpam-5967	61	23	0	0	NUM
ejpam-5967	62	1	∞∫	∞∫	PROPN
ejpam-5967	62	2	0	0	NUM
ejpam-5967	63	1	e−	e−	PROPN
ejpam-5967	63	2	ξ	ξ	PROPN
ejpam-5967	63	3	δ	δ	PROPN
ejpam-5967	63	4	−χ	−χ	VERB
ejpam-5967	63	5	ϵ	ϵ	X
ejpam-5967	63	6	(	(	PUNCT
ejpam-5967	63	7	uh1(ξ	uh1(ξ	PROPN
ejpam-5967	63	8	,	,	PUNCT
ejpam-5967	63	9	χ	χ	NOUN
ejpam-5967	63	10	)	)	PUNCT
ejpam-5967	64	1	+	+	NUM
ejpam-5967	64	2	vh2(ξ	vh2(ξ	NUM
ejpam-5967	64	3	,	,	PUNCT
ejpam-5967	64	4	χ	χ	NOUN
ejpam-5967	64	5	)	)	PUNCT
ejpam-5967	64	6	)	)	PUNCT
ejpam-5967	64	7	dξdχ	dξdχ	NOUN
ejpam-5967	64	8	=	=	SYM
ejpam-5967	64	9	u	u	PROPN
ejpam-5967	64	10	δϵ2	δϵ2	NOUN
ejpam-5967	64	11	∞∫	∞∫	PROPN
ejpam-5967	64	12	0	0	NUM
ejpam-5967	65	1	∞∫	∞∫	PROPN
ejpam-5967	65	2	0	0	NUM
ejpam-5967	66	1	e−	e−	PROPN
ejpam-5967	66	2	ξ	ξ	PROPN
ejpam-5967	66	3	δ	δ	PROPN
ejpam-5967	66	4	−χ	−χ	VERB
ejpam-5967	66	5	ϵ	ϵ	PROPN
ejpam-5967	66	6	h1(ξ	h1(ξ	INTJ
ejpam-5967	66	7	,	,	PUNCT
ejpam-5967	66	8	χ	χ	NOUN
ejpam-5967	66	9	)	)	PUNCT
ejpam-5967	66	10	dξdχ+	dξdχ+	NOUN
ejpam-5967	66	11	v	v	ADP
ejpam-5967	66	12	δϵ2	δϵ2	NOUN
ejpam-5967	67	1	∞∫	∞∫	PROPN
ejpam-5967	67	2	0	0	NUM
ejpam-5967	67	3	∞∫	∞∫	PROPN
ejpam-5967	67	4	0	0	NUM
ejpam-5967	68	1	e−	e−	PROPN
ejpam-5967	68	2	ξ	ξ	PROPN
ejpam-5967	68	3	δ	δ	PROPN
ejpam-5967	68	4	−χ	−χ	VERB
ejpam-5967	68	5	ϵ	ϵ	PROPN
ejpam-5967	68	6	h2(ξ	h2(ξ	PROPN
ejpam-5967	68	7	,	,	PUNCT
ejpam-5967	68	8	χ	χ	ADJ
ejpam-5967	68	9	)	)	PUNCT
ejpam-5967	68	10	dξdχ	dξdχ	NOUN
ejpam-5967	68	11	=	=	SYM
ejpam-5967	68	12	usξwχ(h1(ξ	usξwχ(h1(ξ	PROPN
ejpam-5967	68	13	,	,	PUNCT
ejpam-5967	68	14	χ	χ	NOUN
ejpam-5967	68	15	)	)	PUNCT
ejpam-5967	68	16	)	)	PUNCT
ejpam-5967	69	1	+	+	CCONJ
ejpam-5967	69	2	vsξwχ(h2(ξ	vsξwχ(h2(ξ	NOUN
ejpam-5967	69	3	,	,	PUNCT
ejpam-5967	69	4	χ	χ	NOUN
ejpam-5967	69	5	)	)	PUNCT
ejpam-5967	69	6	)	)	PUNCT
ejpam-5967	69	7	.	.	PUNCT
ejpam-5967	70	1	if	if	SCONJ
ejpam-5967	70	2	h(ξ	h(ξ	PROPN
ejpam-5967	70	3	,	,	PUNCT
ejpam-5967	70	4	χ	χ	X
ejpam-5967	70	5	)	)	PUNCT
ejpam-5967	70	6	can	can	AUX
ejpam-5967	70	7	be	be	AUX
ejpam-5967	70	8	written	write	VERB
ejpam-5967	70	9	as	as	ADP
ejpam-5967	70	10	h(ξ	h(ξ	PROPN
ejpam-5967	70	11	,	,	PUNCT
ejpam-5967	70	12	χ	χ	NOUN
ejpam-5967	70	13	)	)	PUNCT
ejpam-5967	70	14	=	=	SYM
ejpam-5967	70	15	g(ξ)f(χ	g(ξ)f(χ	NOUN
ejpam-5967	70	16	)	)	PUNCT
ejpam-5967	70	17	for	for	ADP
ejpam-5967	70	18	some	some	DET
ejpam-5967	70	19	continuous	continuous	ADJ
ejpam-5967	70	20	functions	function	NOUN
ejpam-5967	70	21	g	g	NOUN
ejpam-5967	70	22	and	and	CCONJ
ejpam-5967	70	23	f	f	PROPN
ejpam-5967	70	24	,	,	PUNCT
ejpam-5967	70	25	then	then	ADV
ejpam-5967	70	26	sξwχ(h(ξ	sξwχ(h(ξ	X
ejpam-5967	70	27	,	,	PUNCT
ejpam-5967	70	28	χ	χ	NOUN
ejpam-5967	70	29	)	)	PUNCT
ejpam-5967	70	30	)	)	PUNCT
ejpam-5967	71	1	=	=	SYM
ejpam-5967	71	2	s(g(ξ))w	s(g(ξ))w	NOUN
ejpam-5967	71	3	(	(	PUNCT
ejpam-5967	71	4	f(χ	f(χ	PROPN
ejpam-5967	71	5	)	)	PUNCT
ejpam-5967	71	6	)	)	PUNCT
ejpam-5967	71	7	.	.	PUNCT
ejpam-5967	72	1	in	in	ADP
ejpam-5967	72	2	fact	fact	NOUN
ejpam-5967	72	3	sξwχ(h(ξ	sξwχ(h(ξ	X
ejpam-5967	72	4	,	,	PUNCT
ejpam-5967	72	5	χ	χ	NOUN
ejpam-5967	72	6	)	)	PUNCT
ejpam-5967	72	7	)	)	PUNCT
ejpam-5967	73	1	=	=	SYM
ejpam-5967	73	2	sξwχ(g(ξ)f(χ	sξwχ(g(ξ)f(χ	NOUN
ejpam-5967	73	3	)	)	PUNCT
ejpam-5967	73	4	)	)	PUNCT
ejpam-5967	74	1	=	=	SYM
ejpam-5967	74	2	1	1	NUM
ejpam-5967	74	3	δϵ2	δϵ2	NOUN
ejpam-5967	74	4	∞∫	∞∫	PROPN
ejpam-5967	74	5	0	0	NUM
ejpam-5967	75	1	∞∫	∞∫	PROPN
ejpam-5967	75	2	0	0	NUM
ejpam-5967	76	1	e−	e−	PROPN
ejpam-5967	76	2	ξ	ξ	PROPN
ejpam-5967	76	3	δ	δ	PROPN
ejpam-5967	76	4	−χ	−χ	VERB
ejpam-5967	76	5	ϵ	ϵ	PRON
ejpam-5967	76	6	g(ξ)f(χ)dξdχ	g(ξ)f(χ)dξdχ	NOUN
ejpam-5967	76	7	=	=	SYM
ejpam-5967	76	8	1	1	PROPN
ejpam-5967	76	9	δ	δ	PROPN
ejpam-5967	76	10	∞∫	∞∫	PROPN
ejpam-5967	76	11	0	0	NUM
ejpam-5967	77	1	e−	e−	PROPN
ejpam-5967	77	2	ξ	ξ	PROPN
ejpam-5967	77	3	δ	δ	PROPN
ejpam-5967	77	4	g(ξ)dξ	g(ξ)dξ	ADJ
ejpam-5967	77	5			PROPN
ejpam-5967	77	6	1	1	NUM
ejpam-5967	77	7	ϵ2	ϵ2	PROPN
ejpam-5967	77	8	∞∫	∞∫	PROPN
ejpam-5967	77	9	0	0	NUM
ejpam-5967	78	1	e−	e−	PROPN
ejpam-5967	78	2	χ	χ	X
ejpam-5967	78	3	ϵ	ϵ	INTJ
ejpam-5967	78	4	f(χ)dχ	f(χ)dχ	ADP
ejpam-5967	78	5			PROPN
ejpam-5967	78	6	=	=	SYM
ejpam-5967	78	7	s(g(ξ))w	s(g(ξ))w	X
ejpam-5967	78	8	(	(	PUNCT
ejpam-5967	78	9	f(χ	f(χ	PROPN
ejpam-5967	78	10	)	)	PUNCT
ejpam-5967	78	11	)	)	PUNCT
ejpam-5967	78	12	.	.	PUNCT
ejpam-5967	79	1	3.1	3.1	NUM
ejpam-5967	79	2	.	.	X
ejpam-5967	80	1	ds	ds	PROPN
ejpam-5967	80	2	-	-	PUNCT
ejpam-5967	80	3	swt	swt	NOUN
ejpam-5967	80	4	for	for	ADP
ejpam-5967	80	5	some	some	DET
ejpam-5967	80	6	basic	basic	ADJ
ejpam-5967	80	7	functions	function	NOUN
ejpam-5967	80	8	(	(	PUNCT
ejpam-5967	80	9	i	i	NOUN
ejpam-5967	80	10	)	)	PUNCT
ejpam-5967	80	11	sξwχ(1	sξwχ(1	PROPN
ejpam-5967	80	12	)	)	PUNCT
ejpam-5967	80	13	=	=	SYM
ejpam-5967	80	14	1	1	NUM
ejpam-5967	80	15	δϵ2	δϵ2	NOUN
ejpam-5967	80	16	∞∫	∞∫	PROPN
ejpam-5967	80	17	0	0	NUM
ejpam-5967	81	1	∞∫	∞∫	PROPN
ejpam-5967	81	2	0	0	NUM
ejpam-5967	82	1	e−	e−	PROPN
ejpam-5967	82	2	ξ	ξ	PROPN
ejpam-5967	82	3	δ	δ	PROPN
ejpam-5967	82	4	−χ	−χ	VERB
ejpam-5967	82	5	ϵ	ϵ	PRON
ejpam-5967	82	6	dξdχ	dξdχ	NOUN
ejpam-5967	82	7	=	=	SYM
ejpam-5967	82	8	1	1	PROPN
ejpam-5967	82	9	δ	δ	PROPN
ejpam-5967	82	10	∞∫	∞∫	PROPN
ejpam-5967	82	11	0	0	NUM
ejpam-5967	83	1	e−	e−	PROPN
ejpam-5967	83	2	ξ	ξ	PROPN
ejpam-5967	83	3	δ	δ	PROPN
ejpam-5967	83	4	dξ	dξ	PROPN
ejpam-5967	83	5			PROPN
ejpam-5967	83	6	1	1	NUM
ejpam-5967	83	7	ϵ2	ϵ2	PROPN
ejpam-5967	83	8	∞∫	∞∫	PROPN
ejpam-5967	83	9	0	0	NUM
ejpam-5967	84	1	e−	e−	PROPN
ejpam-5967	84	2	χ	χ	X
ejpam-5967	84	3	ϵ	ϵ	INTJ
ejpam-5967	84	4	dχ	dχ	NOUN
ejpam-5967	84	5			PROPN
ejpam-5967	84	6	=	=	SYM
ejpam-5967	84	7	1×	1×	NUM
ejpam-5967	84	8	1	1	NUM
ejpam-5967	84	9	ϵ	ϵ	NOUN
ejpam-5967	84	10	=	=	SYM
ejpam-5967	84	11	1	1	NUM
ejpam-5967	84	12	ϵ	ϵ	NOUN
ejpam-5967	84	13	,	,	PUNCT
ejpam-5967	84	14	re	re	ADP
ejpam-5967	84	15	(	(	PUNCT
ejpam-5967	84	16	1	1	NUM
ejpam-5967	84	17	δ	δ	NOUN
ejpam-5967	84	18	)	)	PUNCT
ejpam-5967	84	19	>	>	X
ejpam-5967	85	1	0	0	X
ejpam-5967	85	2	.	.	PUNCT
ejpam-5967	85	3	(	(	PUNCT
ejpam-5967	85	4	ii	ii	NOUN
ejpam-5967	85	5	)	)	PUNCT
ejpam-5967	85	6	sξwχ(ξ	sξwχ(ξ	ADP
ejpam-5967	85	7	uχv	uχv	ADJ
ejpam-5967	85	8	)	)	PUNCT
ejpam-5967	85	9	=	=	SYM
ejpam-5967	85	10	1	1	NUM
ejpam-5967	85	11	δϵ2	δϵ2	NOUN
ejpam-5967	85	12	∞∫	∞∫	PROPN
ejpam-5967	85	13	0	0	NUM
ejpam-5967	86	1	∞∫	∞∫	PROPN
ejpam-5967	86	2	0	0	NUM
ejpam-5967	87	1	e−	e−	PROPN
ejpam-5967	87	2	ξ	ξ	PROPN
ejpam-5967	87	3	δ	δ	PROPN
ejpam-5967	87	4	−χ	−χ	VERB
ejpam-5967	87	5	ϵ	ϵ	X
ejpam-5967	87	6	ξuχvdξdχ	ξuχvdξdχ	NOUN
ejpam-5967	87	7	=	=	PUNCT
ejpam-5967	87	8	1	1	PROPN
ejpam-5967	87	9	δ	δ	PROPN
ejpam-5967	87	10	∞∫	∞∫	PROPN
ejpam-5967	87	11	0	0	NUM
ejpam-5967	88	1	ξue−	ξue−	PROPN
ejpam-5967	88	2	ξ	ξ	PROPN
ejpam-5967	88	3	δ	δ	PROPN
ejpam-5967	88	4	dξ	dξ	PROPN
ejpam-5967	88	5			PROPN
ejpam-5967	88	6	1	1	NUM
ejpam-5967	88	7	ϵ2	ϵ2	PROPN
ejpam-5967	88	8	∞∫	∞∫	PROPN
ejpam-5967	88	9	0	0	NUM
ejpam-5967	88	10	χve−	χve−	PROPN
ejpam-5967	88	11	χ	χ	NOUN
ejpam-5967	88	12	ϵ	ϵ	INTJ
ejpam-5967	88	13	dχ	dχ	NOUN
ejpam-5967	88	14			PROPN
ejpam-5967	88	15	=	=	SYM
ejpam-5967	88	16	γ(v	γ(v	X
ejpam-5967	88	17	+	+	CCONJ
ejpam-5967	88	18	1)δu	1)δu	NUM
ejpam-5967	88	19	×	×	NOUN
ejpam-5967	88	20	γ(v	γ(v	NOUN
ejpam-5967	88	21	+	+	CCONJ
ejpam-5967	88	22	1)ϵv−1	1)ϵv−1	NUM
ejpam-5967	88	23	=	=	SYM
ejpam-5967	88	24	δuϵv−1γ(u+	δuϵv−1γ(u+	X
ejpam-5967	88	25	1)γ(v	1)γ(v	NUM
ejpam-5967	88	26	+	+	CCONJ
ejpam-5967	88	27	1	1	NUM
ejpam-5967	88	28	)	)	PUNCT
ejpam-5967	88	29	,	,	PUNCT
ejpam-5967	88	30	re	re	VERB
ejpam-5967	88	31	(	(	PUNCT
ejpam-5967	88	32	1	1	NUM
ejpam-5967	88	33	δ	δ	NOUN
ejpam-5967	88	34	)	)	PUNCT
ejpam-5967	88	35	>	>	X
ejpam-5967	88	36	0	0	PUNCT
ejpam-5967	88	37	and	and	CCONJ
ejpam-5967	88	38	re(u	re(u	NOUN
ejpam-5967	88	39	)	)	PUNCT
ejpam-5967	88	40	>	>	X
ejpam-5967	89	1	−1	−1	NOUN
ejpam-5967	89	2	.	.	PUNCT
ejpam-5967	90	1	r.	r.	PROPN
ejpam-5967	90	2	abu	abu	PROPN
ejpam-5967	90	3	awwad	awwad	PROPN
ejpam-5967	90	4	et	et	PROPN
ejpam-5967	90	5	al	al	PROPN
ejpam-5967	90	6	.	.	PUNCT
ejpam-5967	90	7	/	/	SYM
ejpam-5967	90	8	eur	eur	PROPN
ejpam-5967	90	9	.	.	PUNCT
ejpam-5967	91	1	j.	j.	PROPN
ejpam-5967	91	2	pure	pure	PROPN
ejpam-5967	91	3	appl	appl	PROPN
ejpam-5967	91	4	.	.	PROPN
ejpam-5967	91	5	math	math	PROPN
ejpam-5967	91	6	,	,	PUNCT
ejpam-5967	91	7	18	18	NUM
ejpam-5967	91	8	(	(	PUNCT
ejpam-5967	91	9	2	2	NUM
ejpam-5967	91	10	)	)	PUNCT
ejpam-5967	91	11	(	(	PUNCT
ejpam-5967	91	12	2025	2025	NUM
ejpam-5967	91	13	)	)	PUNCT
ejpam-5967	91	14	,	,	PUNCT
ejpam-5967	91	15	5967	5967	NUM
ejpam-5967	91	16	5	5	NUM
ejpam-5967	91	17	of	of	ADP
ejpam-5967	91	18	17	17	NUM
ejpam-5967	91	19	(	(	PUNCT
ejpam-5967	91	20	iii	iii	NOUN
ejpam-5967	91	21	)	)	PUNCT
ejpam-5967	91	22	sξwχ(e	sξwχ(e	NOUN
ejpam-5967	91	23	uξ+vχ	uξ+vχ	PRON
ejpam-5967	91	24	)	)	PUNCT
ejpam-5967	91	25	=	=	SYM
ejpam-5967	91	26	1	1	NUM
ejpam-5967	91	27	δϵ2	δϵ2	NOUN
ejpam-5967	91	28	∞∫	∞∫	PROPN
ejpam-5967	91	29	0	0	NUM
ejpam-5967	92	1	∞∫	∞∫	PROPN
ejpam-5967	92	2	0	0	NUM
ejpam-5967	93	1	e−	e−	PROPN
ejpam-5967	93	2	ξ	ξ	PROPN
ejpam-5967	93	3	δ	δ	PROPN
ejpam-5967	93	4	−χ	−χ	VERB
ejpam-5967	93	5	ϵ	ϵ	X
ejpam-5967	93	6	euξ+vχdξdχ	euξ+vχdξdχ	NOUN
ejpam-5967	93	7	=	=	SYM
ejpam-5967	93	8	1	1	PROPN
ejpam-5967	93	9	δ	δ	PROPN
ejpam-5967	93	10	∞∫	∞∫	PROPN
ejpam-5967	93	11	0	0	NUM
ejpam-5967	94	1	euξ−	euξ−	PROPN
ejpam-5967	94	2	ξ	ξ	PROPN
ejpam-5967	94	3	δ	δ	PROPN
ejpam-5967	94	4	dξ	dξ	PROPN
ejpam-5967	94	5			PROPN
ejpam-5967	94	6	1	1	NUM
ejpam-5967	94	7	ϵ2	ϵ2	PROPN
ejpam-5967	94	8	∞∫	∞∫	PROPN
ejpam-5967	94	9	0	0	PUNCT
ejpam-5967	95	1	evχ−	evχ−	NOUN
ejpam-5967	95	2	χ	χ	X
ejpam-5967	96	1	ϵ	ϵ	INTJ
ejpam-5967	96	2	dχ	dχ	NOUN
ejpam-5967	96	3			PROPN
ejpam-5967	96	4	=	=	SYM
ejpam-5967	97	1	1	1	NUM
ejpam-5967	97	2	1−	1−	NUM
ejpam-5967	97	3	δu	δu	ADP
ejpam-5967	97	4	×	×	PROPN
ejpam-5967	97	5	1	1	NUM
ejpam-5967	97	6	ϵ	ϵ	X
ejpam-5967	97	7	(	(	PUNCT
ejpam-5967	97	8	1−	1−	NUM
ejpam-5967	97	9	vϵ	vϵ	ADJ
ejpam-5967	97	10	)	)	PUNCT
ejpam-5967	97	11	=	=	SYM
ejpam-5967	97	12	1	1	NUM
ejpam-5967	97	13	ϵ	ϵ	X
ejpam-5967	97	14	(	(	PUNCT
ejpam-5967	97	15	1−	1−	NUM
ejpam-5967	97	16	δu	δu	NOUN
ejpam-5967	97	17	)	)	PUNCT
ejpam-5967	97	18	(	(	PUNCT
ejpam-5967	97	19	1−	1−	NUM
ejpam-5967	97	20	vϵ	vϵ	ADJ
ejpam-5967	97	21	)	)	PUNCT
ejpam-5967	97	22	,	,	PUNCT
ejpam-5967	97	23	re	re	VERB
ejpam-5967	97	24	(	(	PUNCT
ejpam-5967	97	25	1	1	NUM
ejpam-5967	97	26	δ	δ	NOUN
ejpam-5967	97	27	)	)	PUNCT
ejpam-5967	97	28	>	>	X
ejpam-5967	97	29	re(u	re(u	PROPN
ejpam-5967	97	30	)	)	PUNCT
ejpam-5967	97	31	.	.	PUNCT
ejpam-5967	98	1	3.2	3.2	NUM
ejpam-5967	98	2	.	.	PUNCT
ejpam-5967	99	1	existence	existence	NOUN
ejpam-5967	99	2	condition	condition	NOUN
ejpam-5967	99	3	for	for	ADP
ejpam-5967	99	4	ds	ds	ADJ
ejpam-5967	99	5	-	-	PUNCT
ejpam-5967	99	6	swt	swt	PROPN
ejpam-5967	99	7	definition	definition	NOUN
ejpam-5967	99	8	3	3	X
ejpam-5967	99	9	.	.	PUNCT
ejpam-5967	100	1	a	a	DET
ejpam-5967	100	2	function	function	NOUN
ejpam-5967	100	3	h(ξ	h(ξ	PROPN
ejpam-5967	100	4	,	,	PUNCT
ejpam-5967	100	5	χ	χ	X
ejpam-5967	100	6	)	)	PUNCT
ejpam-5967	100	7	is	be	AUX
ejpam-5967	100	8	said	say	VERB
ejpam-5967	100	9	to	to	PART
ejpam-5967	100	10	be	be	AUX
ejpam-5967	100	11	of	of	ADP
ejpam-5967	100	12	exponential	exponential	ADJ
ejpam-5967	100	13	orders	order	NOUN
ejpam-5967	100	14	u	u	NOUN
ejpam-5967	100	15	and	and	CCONJ
ejpam-5967	100	16	v	v	VERB
ejpam-5967	100	17	on	on	ADP
ejpam-5967	100	18	0	0	NUM
ejpam-5967	100	19	≤	≤	NOUN
ejpam-5967	101	1	ξ	ξ	PUNCT
ejpam-5967	101	2	<	<	X
ejpam-5967	101	3	∞	∞	NUM
ejpam-5967	101	4	and	and	CCONJ
ejpam-5967	101	5	0	0	NUM
ejpam-5967	101	6	≤	≤	NOUN
ejpam-5967	102	1	χ	χ	ADP
ejpam-5967	102	2	<	<	X
ejpam-5967	102	3	∞.	∞.	PROPN
ejpam-5967	102	4	if	if	SCONJ
ejpam-5967	102	5	there	there	PRON
ejpam-5967	102	6	exist	exist	VERB
ejpam-5967	102	7	k	k	PROPN
ejpam-5967	102	8	,	,	PUNCT
ejpam-5967	102	9	x	x	PROPN
ejpam-5967	102	10	,	,	PUNCT
ejpam-5967	102	11	y	y	PROPN
ejpam-5967	102	12	>	>	X
ejpam-5967	102	13	0	0	NUM
ejpam-5967	103	1	such	such	ADJ
ejpam-5967	103	2	that	that	SCONJ
ejpam-5967	103	3	|h(ξ	|h(ξ	PROPN
ejpam-5967	103	4	,	,	PUNCT
ejpam-5967	103	5	χ)|	χ)|	ADJ
ejpam-5967	103	6	≤	≤	PROPN
ejpam-5967	103	7	keuξ+vχ	keuξ+vχ	ADV
ejpam-5967	103	8	,	,	PUNCT
ejpam-5967	103	9	for	for	ADP
ejpam-5967	103	10	all	all	PRON
ejpam-5967	103	11	ξ	ξ	X
ejpam-5967	103	12	>	>	X
ejpam-5967	103	13	x	x	X
ejpam-5967	103	14	,	,	PUNCT
ejpam-5967	103	15	χ	χ	PROPN
ejpam-5967	103	16	>	>	X
ejpam-5967	103	17	y.	y.	PROPN
ejpam-5967	103	18	theorem	theorem	VERB
ejpam-5967	103	19	1	1	X
ejpam-5967	103	20	.	.	PUNCT
ejpam-5967	103	21	let	let	VERB
ejpam-5967	103	22	h(ξ	h(ξ	PROPN
ejpam-5967	103	23	,	,	PUNCT
ejpam-5967	103	24	χ	χ	X
ejpam-5967	103	25	)	)	PUNCT
ejpam-5967	103	26	be	be	AUX
ejpam-5967	103	27	a	a	DET
ejpam-5967	103	28	continuous	continuous	ADJ
ejpam-5967	103	29	function	function	NOUN
ejpam-5967	103	30	on	on	ADP
ejpam-5967	103	31	the	the	DET
ejpam-5967	103	32	region	region	NOUN
ejpam-5967	104	1	[	[	X
ejpam-5967	104	2	0,∞	0,∞	NOUN
ejpam-5967	104	3	)	)	PUNCT
ejpam-5967	104	4	×	×	NOUN
ejpam-5967	105	1	[	[	X
ejpam-5967	105	2	0,∞	0,∞	NOUN
ejpam-5967	105	3	)	)	PUNCT
ejpam-5967	105	4	of	of	ADP
ejpam-5967	105	5	exponential	exponential	ADJ
ejpam-5967	105	6	orders	order	NOUN
ejpam-5967	105	7	u	u	NOUN
ejpam-5967	105	8	and	and	CCONJ
ejpam-5967	105	9	v.	v.	ADP
ejpam-5967	105	10	then	then	ADV
ejpam-5967	105	11	h(δ	h(δ	NOUN
ejpam-5967	105	12	,	,	PUNCT
ejpam-5967	105	13	ϵ	ϵ	NOUN
ejpam-5967	105	14	)	)	PUNCT
ejpam-5967	105	15	exists	exist	VERB
ejpam-5967	105	16	for	for	ADP
ejpam-5967	105	17	δ	δ	PROPN
ejpam-5967	105	18	,	,	PUNCT
ejpam-5967	105	19	ϵ	ϵ	PROPN
ejpam-5967	105	20	and	and	CCONJ
ejpam-5967	105	21	γ	γ	X
ejpam-5967	105	22	whenever	whenever	SCONJ
ejpam-5967	105	23	re	re	X
ejpam-5967	105	24	(	(	PUNCT
ejpam-5967	105	25	1	1	NUM
ejpam-5967	105	26	δ	δ	NOUN
ejpam-5967	105	27	)	)	PUNCT
ejpam-5967	105	28	>	>	X
ejpam-5967	106	1	u	u	PROPN
ejpam-5967	106	2	and	and	CCONJ
ejpam-5967	106	3	re	re	ADJ
ejpam-5967	106	4	(	(	PUNCT
ejpam-5967	106	5	1	1	NUM
ejpam-5967	106	6	ϵ	ϵ	NOUN
ejpam-5967	106	7	)	)	PUNCT
ejpam-5967	106	8	>	>	PUNCT
ejpam-5967	107	1	v.	v.	ADP
ejpam-5967	107	2	proof	proof	NOUN
ejpam-5967	107	3	.	.	PUNCT
ejpam-5967	108	1	we	we	PRON
ejpam-5967	108	2	have	have	VERB
ejpam-5967	108	3	|h(δ	|h(δ	PROPN
ejpam-5967	108	4	,	,	PUNCT
ejpam-5967	108	5	ϵ)|	ϵ)|	PROPN
ejpam-5967	108	6	=	=	SYM
ejpam-5967	108	7	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-5967	108	8	1	1	NUM
ejpam-5967	108	9	δϵ2	δϵ2	NOUN
ejpam-5967	108	10	∞∫	∞∫	PROPN
ejpam-5967	108	11	0	0	NUM
ejpam-5967	109	1	∞∫	∞∫	PROPN
ejpam-5967	109	2	0	0	NUM
ejpam-5967	110	1	e−	e−	PROPN
ejpam-5967	110	2	ξ	ξ	PROPN
ejpam-5967	110	3	δ	δ	PROPN
ejpam-5967	110	4	−χ	−χ	VERB
ejpam-5967	110	5	ϵ	ϵ	ADP
ejpam-5967	110	6	h(ξ	h(ξ	PROPN
ejpam-5967	110	7	,	,	PUNCT
ejpam-5967	110	8	χ	χ	X
ejpam-5967	110	9	)	)	PUNCT
ejpam-5967	110	10	dξdχ	dξdχ	NOUN
ejpam-5967	110	11	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-5967	110	12	≤	≤	ADV
ejpam-5967	110	13	1	1	NUM
ejpam-5967	110	14	δϵ2	δϵ2	NOUN
ejpam-5967	110	15	∞∫	∞∫	PROPN
ejpam-5967	110	16	0	0	NUM
ejpam-5967	111	1	∞∫	∞∫	PROPN
ejpam-5967	111	2	0	0	NUM
ejpam-5967	112	1	e−	e−	PROPN
ejpam-5967	112	2	ξ	ξ	PROPN
ejpam-5967	112	3	δ	δ	PROPN
ejpam-5967	112	4	−χ	−χ	VERB
ejpam-5967	112	5	ϵ	ϵ	PROPN
ejpam-5967	112	6	|h(ξ	|h(ξ	PROPN
ejpam-5967	112	7	,	,	PUNCT
ejpam-5967	112	8	χ)|	χ)|	ADJ
ejpam-5967	112	9	dξdχ	dξdχ	NOUN
ejpam-5967	112	10	≤	≤	PROPN
ejpam-5967	113	1	k	k	PROPN
ejpam-5967	113	2	1	1	NUM
ejpam-5967	113	3	δϵ2	δϵ2	NOUN
ejpam-5967	113	4	∞∫	∞∫	PROPN
ejpam-5967	113	5	0	0	NUM
ejpam-5967	113	6	∞∫	∞∫	PROPN
ejpam-5967	113	7	0	0	NUM
ejpam-5967	114	1	e−	e−	PROPN
ejpam-5967	114	2	ξ	ξ	PROPN
ejpam-5967	114	3	δ	δ	PROPN
ejpam-5967	114	4	−χ	−χ	VERB
ejpam-5967	114	5	ϵ	ϵ	X
ejpam-5967	114	6	euξ+vχdξdχ	euξ+vχdξdχ	NOUN
ejpam-5967	115	1	=	=	SYM
ejpam-5967	115	2	k	k	X
ejpam-5967	115	3	∞∫	∞∫	NOUN
ejpam-5967	115	4	0	0	NUM
ejpam-5967	115	5	e−(δ−u)ξdξ	e−(δ−u)ξdξ	X
ejpam-5967	115	6			SYM
ejpam-5967	115	7	1	1	NUM
ejpam-5967	115	8	ϵ2	ϵ2	PROPN
ejpam-5967	115	9	∞∫	∞∫	PROPN
ejpam-5967	115	10	0	0	PUNCT
ejpam-5967	116	1	e−	e−	PROPN
ejpam-5967	116	2	(	(	PUNCT
ejpam-5967	116	3	1	1	NUM
ejpam-5967	116	4	ϵ	ϵ	PRON
ejpam-5967	116	5	−v)χdχ	−v)χdχ	PRON
ejpam-5967	116	6			PROPN
ejpam-5967	116	7	=	=	SYM
ejpam-5967	116	8	k	k	PROPN
ejpam-5967	116	9	ϵ	ϵ	X
ejpam-5967	116	10	(	(	PUNCT
ejpam-5967	116	11	δ	δ	PROPN
ejpam-5967	116	12	−	−	PROPN
ejpam-5967	116	13	u	u	NOUN
ejpam-5967	116	14	)	)	PUNCT
ejpam-5967	116	15	(	(	PUNCT
ejpam-5967	116	16	1−	1−	NUM
ejpam-5967	116	17	vϵ	vϵ	ADJ
ejpam-5967	116	18	)	)	PUNCT
ejpam-5967	116	19	.	.	PUNCT
ejpam-5967	117	1	where	where	SCONJ
ejpam-5967	117	2	re	re	X
ejpam-5967	117	3	(	(	PUNCT
ejpam-5967	117	4	δ	δ	X
ejpam-5967	117	5	)	)	PUNCT
ejpam-5967	117	6	>	>	X
ejpam-5967	117	7	u	u	PROPN
ejpam-5967	117	8	and	and	CCONJ
ejpam-5967	117	9	re	re	ADJ
ejpam-5967	117	10	(	(	PUNCT
ejpam-5967	117	11	1	1	NUM
ejpam-5967	117	12	ϵ	ϵ	NOUN
ejpam-5967	117	13	)	)	PUNCT
ejpam-5967	117	14	>	>	X
ejpam-5967	118	1	v.	v.	ADP
ejpam-5967	118	2	3.3	3.3	NUM
ejpam-5967	118	3	.	.	PUNCT
ejpam-5967	119	1	derivatives	derivative	NOUN
ejpam-5967	119	2	properties	property	NOUN
ejpam-5967	119	3	now	now	ADV
ejpam-5967	119	4	,	,	PUNCT
ejpam-5967	119	5	we	we	PRON
ejpam-5967	119	6	present	present	VERB
ejpam-5967	119	7	some	some	DET
ejpam-5967	119	8	basic	basic	ADJ
ejpam-5967	119	9	properties	property	NOUN
ejpam-5967	119	10	of	of	ADP
ejpam-5967	119	11	the	the	DET
ejpam-5967	119	12	ds	ds	PROPN
ejpam-5967	119	13	-	-	PUNCT
ejpam-5967	119	14	swt	swt	NOUN
ejpam-5967	119	15	let	let	VERB
ejpam-5967	119	16	h(δ	h(δ	NOUN
ejpam-5967	119	17	,	,	PUNCT
ejpam-5967	119	18	ϵ	ϵ	X
ejpam-5967	119	19	)	)	PUNCT
ejpam-5967	119	20	=	=	SYM
ejpam-5967	119	21	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	119	22	,	,	PUNCT
ejpam-5967	119	23	χ	χ	NOUN
ejpam-5967	119	24	)	)	PUNCT
ejpam-5967	119	25	)	)	PUNCT
ejpam-5967	119	26	where	where	SCONJ
ejpam-5967	119	27	h(ξ	h(ξ	PROPN
ejpam-5967	119	28	,	,	PUNCT
ejpam-5967	119	29	χ	χ	X
ejpam-5967	119	30	)	)	PUNCT
ejpam-5967	119	31	is	be	AUX
ejpam-5967	119	32	a	a	DET
ejpam-5967	119	33	continuous	continuous	ADJ
ejpam-5967	119	34	function	function	NOUN
ejpam-5967	119	35	on	on	ADP
ejpam-5967	119	36	(	(	PUNCT
ejpam-5967	119	37	0,∞)×	0,∞)×	NUM
ejpam-5967	119	38	(	(	PUNCT
ejpam-5967	119	39	0,∞	0,∞	NUM
ejpam-5967	119	40	)	)	PUNCT
ejpam-5967	119	41	.	.	PUNCT
ejpam-5967	120	1	then	then	ADV
ejpam-5967	120	2	r.	r.	PROPN
ejpam-5967	120	3	abu	abu	PROPN
ejpam-5967	120	4	awwad	awwad	PROPN
ejpam-5967	120	5	et	et	PROPN
ejpam-5967	120	6	al	al	PROPN
ejpam-5967	120	7	.	.	PUNCT
ejpam-5967	120	8	/	/	SYM
ejpam-5967	120	9	eur	eur	PROPN
ejpam-5967	120	10	.	.	PUNCT
ejpam-5967	121	1	j.	j.	PROPN
ejpam-5967	121	2	pure	pure	PROPN
ejpam-5967	121	3	appl	appl	PROPN
ejpam-5967	121	4	.	.	PROPN
ejpam-5967	121	5	math	math	PROPN
ejpam-5967	121	6	,	,	PUNCT
ejpam-5967	121	7	18	18	NUM
ejpam-5967	121	8	(	(	PUNCT
ejpam-5967	121	9	2	2	NUM
ejpam-5967	121	10	)	)	PUNCT
ejpam-5967	121	11	(	(	PUNCT
ejpam-5967	121	12	2025	2025	NUM
ejpam-5967	121	13	)	)	PUNCT
ejpam-5967	121	14	,	,	PUNCT
ejpam-5967	121	15	5967	5967	NUM
ejpam-5967	121	16	6	6	NUM
ejpam-5967	121	17	of	of	ADP
ejpam-5967	121	18	17	17	NUM
ejpam-5967	121	19	(	(	PUNCT
ejpam-5967	121	20	i	i	NOUN
ejpam-5967	121	21	)	)	PUNCT
ejpam-5967	121	22	sξwχ	sξwχ	PROPN
ejpam-5967	121	23	(	(	PUNCT
ejpam-5967	121	24	∂h(ξ	∂h(ξ	PROPN
ejpam-5967	121	25	,	,	PUNCT
ejpam-5967	121	26	χ	χ	NOUN
ejpam-5967	121	27	)	)	PUNCT
ejpam-5967	121	28	∂ξ	∂ξ	NOUN
ejpam-5967	121	29	)	)	PUNCT
ejpam-5967	121	30	=	=	SYM
ejpam-5967	121	31	1	1	NUM
ejpam-5967	121	32	δ	δ	PROPN
ejpam-5967	121	33	h(δ	h(δ	NOUN
ejpam-5967	121	34	,	,	PUNCT
ejpam-5967	121	35	ϵ)−	ϵ)−	PROPN
ejpam-5967	121	36	1	1	NUM
ejpam-5967	121	37	δ	δ	PROPN
ejpam-5967	121	38	w	w	PROPN
ejpam-5967	121	39	(	(	PUNCT
ejpam-5967	121	40	h(0	h(0	PROPN
ejpam-5967	121	41	,	,	PUNCT
ejpam-5967	121	42	χ	χ	NOUN
ejpam-5967	121	43	)	)	PUNCT
ejpam-5967	121	44	)	)	PUNCT
ejpam-5967	121	45	,	,	PUNCT
ejpam-5967	121	46	(	(	PUNCT
ejpam-5967	121	47	12	12	NUM
ejpam-5967	121	48	)	)	PUNCT
ejpam-5967	121	49	(	(	PUNCT
ejpam-5967	121	50	ii	ii	NOUN
ejpam-5967	121	51	)	)	PUNCT
ejpam-5967	121	52	sξwχ	sξwχ	NOUN
ejpam-5967	121	53	(	(	PUNCT
ejpam-5967	121	54	∂2h(ξ	∂2h(ξ	X
ejpam-5967	121	55	,	,	PUNCT
ejpam-5967	121	56	χ	χ	NOUN
ejpam-5967	121	57	)	)	PUNCT
ejpam-5967	121	58	∂ξ2	∂ξ2	NOUN
ejpam-5967	121	59	)	)	PUNCT
ejpam-5967	122	1	=	=	SYM
ejpam-5967	122	2	1	1	NUM
ejpam-5967	122	3	δ2	δ2	VERB
ejpam-5967	122	4	h(δ	h(δ	NOUN
ejpam-5967	122	5	,	,	PUNCT
ejpam-5967	122	6	ϵ)−	ϵ)−	PROPN
ejpam-5967	122	7	1	1	NUM
ejpam-5967	122	8	δ2	δ2	ADJ
ejpam-5967	122	9	w	w	NOUN
ejpam-5967	122	10	(	(	PUNCT
ejpam-5967	122	11	h(0	h(0	PROPN
ejpam-5967	122	12	,	,	PUNCT
ejpam-5967	122	13	χ))−	χ))−	NOUN
ejpam-5967	122	14	1	1	NUM
ejpam-5967	122	15	δ	δ	PROPN
ejpam-5967	122	16	w	w	PROPN
ejpam-5967	122	17	(	(	PUNCT
ejpam-5967	122	18	hξ(0	hξ(0	PROPN
ejpam-5967	122	19	,	,	PUNCT
ejpam-5967	122	20	χ	χ	NOUN
ejpam-5967	122	21	)	)	PUNCT
ejpam-5967	122	22	)	)	PUNCT
ejpam-5967	122	23	,	,	PUNCT
ejpam-5967	122	24	(	(	PUNCT
ejpam-5967	122	25	iii	iii	X
ejpam-5967	122	26	)	)	PUNCT
ejpam-5967	122	27	sξwχ	sξwχ	NOUN
ejpam-5967	122	28	(	(	PUNCT
ejpam-5967	122	29	∂h(ξ	∂h(ξ	PROPN
ejpam-5967	122	30	,	,	PUNCT
ejpam-5967	122	31	χ	χ	NOUN
ejpam-5967	122	32	)	)	PUNCT
ejpam-5967	122	33	∂χ	∂χ	PROPN
ejpam-5967	122	34	)	)	PUNCT
ejpam-5967	122	35	=	=	SYM
ejpam-5967	123	1	1	1	NUM
ejpam-5967	123	2	ϵ	ϵ	X
ejpam-5967	123	3	h(δ	h(δ	NOUN
ejpam-5967	123	4	,	,	PUNCT
ejpam-5967	123	5	ϵ)−	ϵ)−	PROPN
ejpam-5967	123	6	1	1	NUM
ejpam-5967	123	7	ϵ2	ϵ2	PROPN
ejpam-5967	123	8	s(h(ξ	s(h(ξ	PROPN
ejpam-5967	123	9	,	,	PUNCT
ejpam-5967	123	10	0	0	NUM
ejpam-5967	123	11	)	)	PUNCT
ejpam-5967	123	12	)	)	PUNCT
ejpam-5967	123	13	,	,	PUNCT
ejpam-5967	123	14	(	(	PUNCT
ejpam-5967	123	15	13	13	NUM
ejpam-5967	123	16	)	)	PUNCT
ejpam-5967	123	17	(	(	PUNCT
ejpam-5967	123	18	iv	iv	X
ejpam-5967	123	19	)	)	PUNCT
ejpam-5967	123	20	sξwχ	sξwχ	NOUN
ejpam-5967	123	21	(	(	PUNCT
ejpam-5967	123	22	∂2h(ξ	∂2h(ξ	X
ejpam-5967	123	23	,	,	PUNCT
ejpam-5967	123	24	χ	χ	NOUN
ejpam-5967	123	25	)	)	PUNCT
ejpam-5967	123	26	∂χ2	∂χ2	PROPN
ejpam-5967	123	27	)	)	PUNCT
ejpam-5967	123	28	=	=	SYM
ejpam-5967	123	29	1	1	NUM
ejpam-5967	123	30	ϵ2	ϵ2	PROPN
ejpam-5967	123	31	h(δ	h(δ	NOUN
ejpam-5967	123	32	,	,	PUNCT
ejpam-5967	123	33	ϵ)−	ϵ)−	PROPN
ejpam-5967	123	34	1	1	NUM
ejpam-5967	123	35	ϵ3	ϵ3	PROPN
ejpam-5967	123	36	s(h(ξ	s(h(ξ	PROPN
ejpam-5967	123	37	,	,	PUNCT
ejpam-5967	123	38	0))−	0))−	NUM
ejpam-5967	123	39	1	1	NUM
ejpam-5967	123	40	ϵ2	ϵ2	PROPN
ejpam-5967	123	41	s(hχ(ξ	s(hχ(ξ	PROPN
ejpam-5967	123	42	,	,	PUNCT
ejpam-5967	123	43	0	0	NUM
ejpam-5967	123	44	)	)	PUNCT
ejpam-5967	123	45	)	)	PUNCT
ejpam-5967	123	46	,	,	PUNCT
ejpam-5967	123	47	(	(	PUNCT
ejpam-5967	123	48	14	14	NUM
ejpam-5967	123	49	)	)	PUNCT
ejpam-5967	123	50	(	(	PUNCT
ejpam-5967	123	51	v	v	NOUN
ejpam-5967	123	52	)	)	PUNCT
ejpam-5967	123	53	sξwχ	sξwχ	NOUN
ejpam-5967	123	54	(	(	PUNCT
ejpam-5967	123	55	∂2h(ξ	∂2h(ξ	X
ejpam-5967	123	56	,	,	PUNCT
ejpam-5967	123	57	χ	χ	NOUN
ejpam-5967	123	58	)	)	PUNCT
ejpam-5967	123	59	∂ξ∂χ	∂ξ∂χ	NOUN
ejpam-5967	123	60	)	)	PUNCT
ejpam-5967	123	61	=	=	SYM
ejpam-5967	123	62	1	1	NUM
ejpam-5967	123	63	δϵ	δϵ	ADP
ejpam-5967	123	64	h(δ	h(δ	NOUN
ejpam-5967	123	65	,	,	PUNCT
ejpam-5967	123	66	ϵ)−	ϵ)−	PROPN
ejpam-5967	123	67	1	1	NUM
ejpam-5967	123	68	δϵ2	δϵ2	NOUN
ejpam-5967	123	69	s(h(ξ	s(h(ξ	PROPN
ejpam-5967	123	70	,	,	PUNCT
ejpam-5967	123	71	0))−	0))−	NUM
ejpam-5967	123	72	1	1	NUM
ejpam-5967	123	73	δϵ	δϵ	NOUN
ejpam-5967	123	74	w	w	PROPN
ejpam-5967	123	75	(	(	PUNCT
ejpam-5967	123	76	h(0	h(0	PROPN
ejpam-5967	123	77	,	,	PUNCT
ejpam-5967	123	78	χ	χ	NOUN
ejpam-5967	123	79	)	)	PUNCT
ejpam-5967	123	80	)	)	PUNCT
ejpam-5967	124	1	+	+	CCONJ
ejpam-5967	124	2	1	1	NUM
ejpam-5967	124	3	δϵ2	δϵ2	NOUN
ejpam-5967	124	4	h(0	h(0	PROPN
ejpam-5967	124	5	,	,	PUNCT
ejpam-5967	124	6	0	0	NUM
ejpam-5967	124	7	)	)	PUNCT
ejpam-5967	124	8	.	.	PUNCT
ejpam-5967	125	1	(	(	PUNCT
ejpam-5967	125	2	15	15	X
ejpam-5967	125	3	)	)	PUNCT
ejpam-5967	125	4	proof	proof	NOUN
ejpam-5967	125	5	.	.	PUNCT
ejpam-5967	126	1	(	(	PUNCT
ejpam-5967	126	2	1	1	X
ejpam-5967	126	3	)	)	PUNCT
ejpam-5967	126	4	sξwχ	sξwχ	NOUN
ejpam-5967	126	5	(	(	PUNCT
ejpam-5967	126	6	∂h(ξ	∂h(ξ	PROPN
ejpam-5967	126	7	,	,	PUNCT
ejpam-5967	126	8	χ	χ	NOUN
ejpam-5967	126	9	)	)	PUNCT
ejpam-5967	126	10	∂ξ	∂ξ	NOUN
ejpam-5967	126	11	)	)	PUNCT
ejpam-5967	126	12	=	=	SYM
ejpam-5967	127	1	1	1	NUM
ejpam-5967	127	2	δϵ2	δϵ2	NOUN
ejpam-5967	127	3	∞∫	∞∫	PROPN
ejpam-5967	127	4	0	0	NUM
ejpam-5967	128	1	∞∫	∞∫	PROPN
ejpam-5967	128	2	0	0	NUM
ejpam-5967	129	1	e−	e−	PROPN
ejpam-5967	129	2	ξ	ξ	PROPN
ejpam-5967	129	3	δ	δ	PROPN
ejpam-5967	129	4	−χ	−χ	VERB
ejpam-5967	129	5	ϵ	ϵ	PROPN
ejpam-5967	129	6	∂h(ξ	∂h(ξ	PROPN
ejpam-5967	129	7	,	,	PUNCT
ejpam-5967	129	8	χ	χ	NOUN
ejpam-5967	129	9	)	)	PUNCT
ejpam-5967	129	10	∂ξ	∂ξ	NOUN
ejpam-5967	129	11	dξdχ	dξdχ	NOUN
ejpam-5967	129	12	=	=	SYM
ejpam-5967	129	13	1	1	NUM
ejpam-5967	129	14	δϵ2	δϵ2	NOUN
ejpam-5967	129	15	∞∫	∞∫	NOUN
ejpam-5967	129	16	0	0	NUM
ejpam-5967	130	1	e−	e−	PROPN
ejpam-5967	130	2	χ	χ	X
ejpam-5967	130	3	ϵ	ϵ	PROPN
ejpam-5967	130	4	∞∫	∞∫	PROPN
ejpam-5967	130	5	0	0	NUM
ejpam-5967	131	1	e−	e−	PROPN
ejpam-5967	131	2	ξ	ξ	PROPN
ejpam-5967	131	3	δ	δ	PROPN
ejpam-5967	131	4	∂h(ξ	∂h(ξ	PROPN
ejpam-5967	131	5	,	,	PUNCT
ejpam-5967	131	6	χ	χ	NOUN
ejpam-5967	131	7	)	)	PUNCT
ejpam-5967	131	8	∂ξ	∂ξ	NOUN
ejpam-5967	131	9	dξdχ	dξdχ	NOUN
ejpam-5967	131	10	.	.	PUNCT
ejpam-5967	132	1	by	by	ADP
ejpam-5967	132	2	integrating	integrate	VERB
ejpam-5967	132	3	by	by	ADP
ejpam-5967	132	4	parts	part	NOUN
ejpam-5967	132	5	,	,	PUNCT
ejpam-5967	132	6	we	we	PRON
ejpam-5967	132	7	get	get	VERB
ejpam-5967	132	8	sξwχ	sξwχ	NOUN
ejpam-5967	132	9	(	(	PUNCT
ejpam-5967	132	10	∂h(ξ	∂h(ξ	PROPN
ejpam-5967	132	11	,	,	PUNCT
ejpam-5967	132	12	χ	χ	NOUN
ejpam-5967	132	13	)	)	PUNCT
ejpam-5967	132	14	∂ξ	∂ξ	NOUN
ejpam-5967	132	15	)	)	PUNCT
ejpam-5967	133	1	=	=	SYM
ejpam-5967	133	2	1	1	NUM
ejpam-5967	133	3	δϵ2	δϵ2	NOUN
ejpam-5967	133	4	∞∫	∞∫	NOUN
ejpam-5967	133	5	0	0	NUM
ejpam-5967	134	1	e−	e−	PROPN
ejpam-5967	134	2	χ	χ	X
ejpam-5967	134	3	ϵ	ϵ	X
ejpam-5967	134	4	(	(	PUNCT
ejpam-5967	134	5	−h(0	−h(0	PROPN
ejpam-5967	134	6	,	,	PUNCT
ejpam-5967	134	7	χ	χ	X
ejpam-5967	134	8	)	)	PUNCT
ejpam-5967	134	9	+	+	CCONJ
ejpam-5967	134	10	1	1	NUM
ejpam-5967	134	11	δ	δ	PROPN
ejpam-5967	134	12	∞∫	∞∫	PROPN
ejpam-5967	134	13	0	0	NUM
ejpam-5967	135	1	e−	e−	PROPN
ejpam-5967	135	2	ξ	ξ	X
ejpam-5967	135	3	δ	δ	PROPN
ejpam-5967	135	4	h(ξ	h(ξ	PROPN
ejpam-5967	135	5	,	,	PUNCT
ejpam-5967	135	6	χ	χ	X
ejpam-5967	135	7	)	)	PUNCT
ejpam-5967	135	8	dξ	dξ	PROPN
ejpam-5967	135	9	)	)	PUNCT
ejpam-5967	135	10	dχ	dχ	NOUN
ejpam-5967	135	11	=	=	SYM
ejpam-5967	136	1	−	−	PROPN
ejpam-5967	136	2	1	1	NUM
ejpam-5967	136	3	δϵ2	δϵ2	NOUN
ejpam-5967	136	4	∞∫	∞∫	NOUN
ejpam-5967	136	5	0	0	NUM
ejpam-5967	137	1	e−	e−	PROPN
ejpam-5967	137	2	χ	χ	X
ejpam-5967	137	3	ϵ	ϵ	X
ejpam-5967	137	4	h(0	h(0	PROPN
ejpam-5967	137	5	,	,	PUNCT
ejpam-5967	137	6	χ)dχ+	χ)dχ+	VERB
ejpam-5967	137	7	1	1	NUM
ejpam-5967	137	8	δ2ϵ2	δ2ϵ2	PROPN
ejpam-5967	137	9	∞∫	∞∫	PROPN
ejpam-5967	137	10	0	0	NUM
ejpam-5967	137	11	∞∫	∞∫	PROPN
ejpam-5967	137	12	0	0	NUM
ejpam-5967	138	1	e−	e−	PROPN
ejpam-5967	138	2	ξ	ξ	PROPN
ejpam-5967	138	3	δ	δ	PROPN
ejpam-5967	138	4	−χ	−χ	VERB
ejpam-5967	138	5	ϵ	ϵ	ADP
ejpam-5967	138	6	h(ξ	h(ξ	PROPN
ejpam-5967	138	7	,	,	PUNCT
ejpam-5967	138	8	χ	χ	X
ejpam-5967	138	9	)	)	PUNCT
ejpam-5967	138	10	dξdχ	dξdχ	NOUN
ejpam-5967	138	11	=	=	NOUN
ejpam-5967	138	12	1	1	NUM
ejpam-5967	138	13	δh(δ	δh(δ	PUNCT
ejpam-5967	138	14	,	,	PUNCT
ejpam-5967	138	15	ϵ)−	ϵ)−	NOUN
ejpam-5967	138	16	1	1	NUM
ejpam-5967	138	17	δw	δw	NOUN
ejpam-5967	138	18	(	(	PUNCT
ejpam-5967	138	19	h(0	h(0	PROPN
ejpam-5967	138	20	,	,	PUNCT
ejpam-5967	138	21	χ	χ	NOUN
ejpam-5967	138	22	)	)	PUNCT
ejpam-5967	138	23	)	)	PUNCT
ejpam-5967	138	24	.	.	PUNCT
ejpam-5967	139	1	the	the	DET
ejpam-5967	139	2	proof	proof	NOUN
ejpam-5967	139	3	of	of	ADP
ejpam-5967	139	4	equations	equation	NOUN
ejpam-5967	139	5	2	2	NUM
ejpam-5967	139	6	,	,	PUNCT
ejpam-5967	139	7	13	13	NUM
ejpam-5967	139	8	,	,	PUNCT
ejpam-5967	139	9	14	14	NUM
ejpam-5967	139	10	and	and	CCONJ
ejpam-5967	139	11	15	15	NUM
ejpam-5967	139	12	can	can	AUX
ejpam-5967	139	13	be	be	AUX
ejpam-5967	139	14	obtained	obtain	VERB
ejpam-5967	139	15	in	in	ADP
ejpam-5967	139	16	the	the	DET
ejpam-5967	139	17	same	same	ADJ
ejpam-5967	139	18	manner	manner	NOUN
ejpam-5967	139	19	.	.	PUNCT
ejpam-5967	140	1	3.4	3.4	NUM
ejpam-5967	140	2	.	.	PUNCT
ejpam-5967	141	1	convolution	convolution	NOUN
ejpam-5967	141	2	theorem	theorem	NOUN
ejpam-5967	141	3	of	of	ADP
ejpam-5967	141	4	ds	ds	PROPN
ejpam-5967	141	5	-	-	PUNCT
ejpam-5967	141	6	swt	swt	NOUN
ejpam-5967	141	7	let	let	VERB
ejpam-5967	141	8	f	f	PROPN
ejpam-5967	141	9	(	(	PUNCT
ejpam-5967	141	10	ξ	ξ	PROPN
ejpam-5967	141	11	,	,	PUNCT
ejpam-5967	141	12	χ	χ	X
ejpam-5967	141	13	)	)	PUNCT
ejpam-5967	141	14	represent	represent	VERB
ejpam-5967	141	15	the	the	DET
ejpam-5967	141	16	heaviside	heaviside	ADJ
ejpam-5967	141	17	unit	unit	NOUN
ejpam-5967	141	18	step	step	NOUN
ejpam-5967	141	19	function	function	NOUN
ejpam-5967	141	20	,	,	PUNCT
ejpam-5967	141	21	which	which	PRON
ejpam-5967	141	22	is	be	AUX
ejpam-5967	141	23	defined	define	VERB
ejpam-5967	141	24	as	as	SCONJ
ejpam-5967	141	25	follows	follow	VERB
ejpam-5967	141	26	:	:	PUNCT
ejpam-5967	141	27	f	f	PROPN
ejpam-5967	141	28	(	(	PUNCT
ejpam-5967	141	29	ξ	ξ	X
ejpam-5967	141	30	−	−	PROPN
ejpam-5967	141	31	u	u	NOUN
ejpam-5967	141	32	,	,	PUNCT
ejpam-5967	141	33	χ−	χ−	PROPN
ejpam-5967	141	34	v	v	NOUN
ejpam-5967	141	35	)	)	PUNCT
ejpam-5967	141	36	=	=	PRON
ejpam-5967	141	37	{	{	PUNCT
ejpam-5967	141	38	1	1	NUM
ejpam-5967	141	39	,	,	PUNCT
ejpam-5967	141	40	ξ	ξ	PROPN
ejpam-5967	141	41	>	>	X
ejpam-5967	141	42	u	u	NOUN
ejpam-5967	141	43	and	and	CCONJ
ejpam-5967	141	44	χ	χ	ADJ
ejpam-5967	141	45	>	>	X
ejpam-5967	141	46	v	v	PROPN
ejpam-5967	141	47	0	0	NUM
ejpam-5967	141	48	,	,	PUNCT
ejpam-5967	141	49	otherwise	otherwise	ADV
ejpam-5967	141	50	then	then	ADV
ejpam-5967	141	51	we	we	PRON
ejpam-5967	141	52	have	have	VERB
ejpam-5967	141	53	the	the	DET
ejpam-5967	141	54	following	follow	VERB
ejpam-5967	141	55	lemma	lemma	PROPN
ejpam-5967	141	56	r.	r.	PROPN
ejpam-5967	141	57	abu	abu	PROPN
ejpam-5967	141	58	awwad	awwad	PROPN
ejpam-5967	141	59	et	et	PROPN
ejpam-5967	141	60	al	al	PROPN
ejpam-5967	141	61	.	.	PUNCT
ejpam-5967	141	62	/	/	SYM
ejpam-5967	141	63	eur	eur	PROPN
ejpam-5967	141	64	.	.	PUNCT
ejpam-5967	142	1	j.	j.	PROPN
ejpam-5967	142	2	pure	pure	PROPN
ejpam-5967	142	3	appl	appl	PROPN
ejpam-5967	142	4	.	.	PROPN
ejpam-5967	142	5	math	math	PROPN
ejpam-5967	142	6	,	,	PUNCT
ejpam-5967	142	7	18	18	NUM
ejpam-5967	142	8	(	(	PUNCT
ejpam-5967	142	9	2	2	NUM
ejpam-5967	142	10	)	)	PUNCT
ejpam-5967	142	11	(	(	PUNCT
ejpam-5967	142	12	2025	2025	NUM
ejpam-5967	142	13	)	)	PUNCT
ejpam-5967	142	14	,	,	PUNCT
ejpam-5967	142	15	5967	5967	NUM
ejpam-5967	142	16	7	7	NUM
ejpam-5967	142	17	of	of	ADP
ejpam-5967	142	18	17	17	NUM
ejpam-5967	142	19	lemma	lemma	PROPN
ejpam-5967	142	20	1	1	NUM
ejpam-5967	142	21	.	.	PUNCT
ejpam-5967	143	1	let	let	VERB
ejpam-5967	143	2	h(ξ	h(ξ	PROPN
ejpam-5967	143	3	,	,	PUNCT
ejpam-5967	143	4	χ	χ	X
ejpam-5967	143	5	)	)	PUNCT
ejpam-5967	143	6	be	be	AUX
ejpam-5967	143	7	a	a	DET
ejpam-5967	143	8	continuous	continuous	ADJ
ejpam-5967	143	9	function	function	NOUN
ejpam-5967	143	10	on	on	ADP
ejpam-5967	143	11	(	(	PUNCT
ejpam-5967	143	12	0,∞)×(0,∞	0,∞)×(0,∞	NUM
ejpam-5967	143	13	)	)	PUNCT
ejpam-5967	143	14	and	and	CCONJ
ejpam-5967	143	15	f	f	PROPN
ejpam-5967	143	16	(	(	PUNCT
ejpam-5967	143	17	ξ	ξ	PROPN
ejpam-5967	143	18	,	,	PUNCT
ejpam-5967	143	19	χ	χ	X
ejpam-5967	143	20	)	)	PUNCT
ejpam-5967	143	21	be	be	VERB
ejpam-5967	143	22	the	the	DET
ejpam-5967	143	23	heaviside	heaviside	ADJ
ejpam-5967	143	24	unit	unit	NOUN
ejpam-5967	143	25	step	step	NOUN
ejpam-5967	143	26	function	function	NOUN
ejpam-5967	143	27	.	.	PUNCT
ejpam-5967	144	1	then	then	ADV
ejpam-5967	144	2	sξwχ(h(ξ−u	sξwχ(h(ξ−u	ADJ
ejpam-5967	144	3	,	,	PUNCT
ejpam-5967	144	4	χ−v)f	χ−v)f	PROPN
ejpam-5967	144	5	(	(	PUNCT
ejpam-5967	144	6	ξ−u	ξ−u	PROPN
ejpam-5967	144	7	,	,	PUNCT
ejpam-5967	144	8	χ−v	χ−v	NOUN
ejpam-5967	144	9	)	)	PUNCT
ejpam-5967	144	10	)	)	PUNCT
ejpam-5967	145	1	=	=	PUNCT
ejpam-5967	145	2	e−	e−	NUM
ejpam-5967	145	3	u	u	NOUN
ejpam-5967	145	4	δ	δ	NOUN
ejpam-5967	145	5	−	−	PROPN
ejpam-5967	145	6	v	v	ADP
ejpam-5967	145	7	ϵ	ϵ	PRON
ejpam-5967	145	8	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	145	9	,	,	PUNCT
ejpam-5967	145	10	χ	χ	NOUN
ejpam-5967	145	11	)	)	PUNCT
ejpam-5967	145	12	.	.	PUNCT
ejpam-5967	146	1	proof	proof	NOUN
ejpam-5967	146	2	.	.	PUNCT
ejpam-5967	147	1	we	we	PRON
ejpam-5967	147	2	have	have	VERB
ejpam-5967	147	3	sξwχ(h(ξ	sξwχ(h(ξ	PROPN
ejpam-5967	147	4	−	−	PROPN
ejpam-5967	147	5	u	u	NOUN
ejpam-5967	147	6	,	,	PUNCT
ejpam-5967	147	7	χ−	χ−	NOUN
ejpam-5967	147	8	v)f	v)f	AUX
ejpam-5967	147	9	(	(	PUNCT
ejpam-5967	147	10	ξ	ξ	X
ejpam-5967	147	11	−	−	PROPN
ejpam-5967	147	12	u	u	NOUN
ejpam-5967	147	13	,	,	PUNCT
ejpam-5967	147	14	χ−	χ−	PROPN
ejpam-5967	147	15	v	v	NOUN
ejpam-5967	147	16	)	)	PUNCT
ejpam-5967	147	17	)	)	PUNCT
ejpam-5967	147	18	(	(	PUNCT
ejpam-5967	147	19	16	16	NUM
ejpam-5967	147	20	)	)	PUNCT
ejpam-5967	147	21	=	=	SYM
ejpam-5967	147	22	1	1	NUM
ejpam-5967	147	23	δϵ2	δϵ2	NOUN
ejpam-5967	147	24	∞∫	∞∫	PROPN
ejpam-5967	147	25	0	0	NUM
ejpam-5967	148	1	∞∫	∞∫	PROPN
ejpam-5967	148	2	0	0	NUM
ejpam-5967	149	1	e−	e−	PROPN
ejpam-5967	149	2	ξ	ξ	PROPN
ejpam-5967	149	3	δ	δ	PROPN
ejpam-5967	149	4	−χ	−χ	VERB
ejpam-5967	149	5	ϵ	ϵ	X
ejpam-5967	149	6	h(ξ	h(ξ	PROPN
ejpam-5967	149	7	−	−	PROPN
ejpam-5967	149	8	u	u	NOUN
ejpam-5967	149	9	,	,	PUNCT
ejpam-5967	149	10	χ−	χ−	NOUN
ejpam-5967	149	11	v)f	v)f	AUX
ejpam-5967	149	12	(	(	PUNCT
ejpam-5967	149	13	ξ	ξ	X
ejpam-5967	149	14	−	−	PROPN
ejpam-5967	149	15	u	u	NOUN
ejpam-5967	149	16	,	,	PUNCT
ejpam-5967	149	17	χ−	χ−	PROPN
ejpam-5967	149	18	v)dξdχ	v)dξdχ	NOUN
ejpam-5967	149	19	=	=	SYM
ejpam-5967	149	20	1	1	NUM
ejpam-5967	149	21	δϵ2	δϵ2	NOUN
ejpam-5967	149	22	∞∫	∞∫	PROPN
ejpam-5967	149	23	u	u	PROPN
ejpam-5967	149	24	∞∫	∞∫	PROPN
ejpam-5967	149	25	v	v	ADP
ejpam-5967	149	26	e−	e−	PROPN
ejpam-5967	149	27	ξ	ξ	PROPN
ejpam-5967	149	28	δ	δ	PROPN
ejpam-5967	149	29	−χ	−χ	VERB
ejpam-5967	149	30	ϵ	ϵ	X
ejpam-5967	149	31	h(ξ	h(ξ	PROPN
ejpam-5967	149	32	−	−	PROPN
ejpam-5967	149	33	u	u	PROPN
ejpam-5967	149	34	,	,	PUNCT
ejpam-5967	149	35	χ−	χ−	PROPN
ejpam-5967	149	36	v)dξdχ	v)dξdχ	NOUN
ejpam-5967	149	37	.	.	PUNCT
ejpam-5967	150	1	now	now	ADV
ejpam-5967	150	2	,	,	PUNCT
ejpam-5967	150	3	by	by	ADP
ejpam-5967	150	4	making	make	VERB
ejpam-5967	150	5	the	the	DET
ejpam-5967	150	6	substitution	substitution	NOUN
ejpam-5967	150	7	z	z	NOUN
ejpam-5967	150	8	=	=	SYM
ejpam-5967	150	9	ξ	ξ	PRON
ejpam-5967	150	10	−	−	PROPN
ejpam-5967	150	11	u	u	NOUN
ejpam-5967	150	12	and	and	CCONJ
ejpam-5967	150	13	w	w	NOUN
ejpam-5967	150	14	=	=	NOUN
ejpam-5967	150	15	χ−	χ−	PROPN
ejpam-5967	150	16	v	v	NOUN
ejpam-5967	150	17	,	,	PUNCT
ejpam-5967	150	18	equation	equation	NOUN
ejpam-5967	150	19	16	16	NUM
ejpam-5967	150	20	becomes	become	VERB
ejpam-5967	150	21	:	:	PUNCT
ejpam-5967	150	22	sξwχ(h(ξ	sξwχ(h(ξ	PROPN
ejpam-5967	151	1	−	−	PROPN
ejpam-5967	151	2	u	u	NOUN
ejpam-5967	151	3	,	,	PUNCT
ejpam-5967	151	4	χ−	χ−	NOUN
ejpam-5967	151	5	v)f	v)f	AUX
ejpam-5967	151	6	(	(	PUNCT
ejpam-5967	151	7	ξ	ξ	X
ejpam-5967	151	8	−	−	PROPN
ejpam-5967	151	9	u	u	NOUN
ejpam-5967	151	10	,	,	PUNCT
ejpam-5967	151	11	χ−	χ−	PROPN
ejpam-5967	151	12	v	v	NOUN
ejpam-5967	151	13	)	)	PUNCT
ejpam-5967	151	14	)	)	PUNCT
ejpam-5967	152	1	=	=	SYM
ejpam-5967	152	2	1	1	NUM
ejpam-5967	152	3	δϵ2	δϵ2	NOUN
ejpam-5967	152	4	∞∫	∞∫	PROPN
ejpam-5967	152	5	0	0	NUM
ejpam-5967	153	1	∞∫	∞∫	PROPN
ejpam-5967	153	2	0	0	NUM
ejpam-5967	154	1	e−	e−	PROPN
ejpam-5967	154	2	(	(	PUNCT
ejpam-5967	154	3	z+u	z+u	PROPN
ejpam-5967	154	4	)	)	PUNCT
ejpam-5967	154	5	δ	δ	PROPN
ejpam-5967	154	6	−	−	PROPN
ejpam-5967	154	7	(	(	PUNCT
ejpam-5967	154	8	w+v	w+v	PROPN
ejpam-5967	154	9	)	)	PUNCT
ejpam-5967	155	1	ϵ	ϵ	X
ejpam-5967	155	2	h(z	h(z	NOUN
ejpam-5967	155	3	,	,	PUNCT
ejpam-5967	155	4	w)dzdw	w)dzdw	NOUN
ejpam-5967	155	5	=	=	SYM
ejpam-5967	155	6	e−	e−	NUM
ejpam-5967	155	7	u	u	NOUN
ejpam-5967	155	8	δ	δ	NOUN
ejpam-5967	155	9	−	−	PROPN
ejpam-5967	155	10	v	v	ADP
ejpam-5967	155	11	ϵ	ϵ	PRON
ejpam-5967	155	12	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	155	13	,	,	PUNCT
ejpam-5967	155	14	χ	χ	NOUN
ejpam-5967	155	15	)	)	PUNCT
ejpam-5967	155	16	)	)	PUNCT
ejpam-5967	155	17	.	.	PUNCT
ejpam-5967	156	1	definition	definition	NOUN
ejpam-5967	156	2	4	4	NUM
ejpam-5967	156	3	.	.	PUNCT
ejpam-5967	157	1	let	let	VERB
ejpam-5967	157	2	h(ξ	h(ξ	PROPN
ejpam-5967	157	3	,	,	PUNCT
ejpam-5967	157	4	χ	χ	NOUN
ejpam-5967	157	5	)	)	PUNCT
ejpam-5967	157	6	and	and	CCONJ
ejpam-5967	157	7	k(ξ	k(ξ	ADJ
ejpam-5967	157	8	,	,	PUNCT
ejpam-5967	157	9	χ	χ	X
ejpam-5967	157	10	)	)	PUNCT
ejpam-5967	157	11	be	be	AUX
ejpam-5967	157	12	continuous	continuous	ADJ
ejpam-5967	157	13	functions	function	NOUN
ejpam-5967	157	14	.	.	PUNCT
ejpam-5967	158	1	we	we	PRON
ejpam-5967	158	2	define	define	VERB
ejpam-5967	158	3	the	the	DET
ejpam-5967	158	4	convolution	convolution	NOUN
ejpam-5967	158	5	in	in	ADP
ejpam-5967	158	6	the	the	DET
ejpam-5967	158	7	ds	ds	PROPN
ejpam-5967	158	8	-	-	PUNCT
ejpam-5967	158	9	swt	swt	PROPN
ejpam-5967	158	10	as	as	ADP
ejpam-5967	158	11	(	(	PUNCT
ejpam-5967	158	12	h	h	PROPN
ejpam-5967	158	13	∗	∗	NOUN
ejpam-5967	158	14	∗k)(ξ	∗k)(ξ	NOUN
ejpam-5967	158	15	,	,	PUNCT
ejpam-5967	158	16	χ	χ	X
ejpam-5967	158	17	)	)	PUNCT
ejpam-5967	158	18	=	=	PUNCT
ejpam-5967	159	1	ξ∫	ξ∫	NUM
ejpam-5967	159	2	0	0	NUM
ejpam-5967	159	3	χ∫	χ∫	NOUN
ejpam-5967	159	4	0	0	NUM
ejpam-5967	159	5	h(ξ	h(ξ	PROPN
ejpam-5967	159	6	−	−	PROPN
ejpam-5967	159	7	u	u	PROPN
ejpam-5967	159	8	,	,	PUNCT
ejpam-5967	159	9	χ−	χ−	NOUN
ejpam-5967	159	10	v)k(u	v)k(u	NOUN
ejpam-5967	159	11	,	,	PUNCT
ejpam-5967	159	12	v)dudv	v)dudv	NOUN
ejpam-5967	159	13	.	.	PUNCT
ejpam-5967	160	1	in	in	ADP
ejpam-5967	160	2	the	the	DET
ejpam-5967	160	3	following	following	NOUN
ejpam-5967	160	4	theorem	theorem	NOUN
ejpam-5967	160	5	,	,	PUNCT
ejpam-5967	160	6	we	we	PRON
ejpam-5967	160	7	compute	compute	VERB
ejpam-5967	160	8	ds	ds	PROPN
ejpam-5967	160	9	-	-	PUNCT
ejpam-5967	160	10	swt	swt	NOUN
ejpam-5967	160	11	of	of	ADP
ejpam-5967	160	12	the	the	DET
ejpam-5967	160	13	convolution	convolution	NOUN
ejpam-5967	160	14	of	of	ADP
ejpam-5967	160	15	two	two	NUM
ejpam-5967	160	16	functions	function	NOUN
ejpam-5967	160	17	theorem	theorem	VERB
ejpam-5967	160	18	2	2	X
ejpam-5967	160	19	.	.	PUNCT
ejpam-5967	161	1	let	let	VERB
ejpam-5967	161	2	h(δ	h(δ	NOUN
ejpam-5967	161	3	,	,	PUNCT
ejpam-5967	161	4	ϵ	ϵ	X
ejpam-5967	161	5	)	)	PUNCT
ejpam-5967	161	6	=	=	SYM
ejpam-5967	161	7	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	161	8	,	,	PUNCT
ejpam-5967	161	9	χ	χ	NOUN
ejpam-5967	161	10	)	)	PUNCT
ejpam-5967	161	11	)	)	PUNCT
ejpam-5967	161	12	and	and	CCONJ
ejpam-5967	161	13	k(δ	k(δ	PROPN
ejpam-5967	161	14	,	,	PUNCT
ejpam-5967	161	15	ϵ	ϵ	X
ejpam-5967	161	16	)	)	PUNCT
ejpam-5967	161	17	=	=	SYM
ejpam-5967	161	18	sξwχ(k(ξ	sξwχ(k(ξ	PROPN
ejpam-5967	161	19	,	,	PUNCT
ejpam-5967	161	20	χ	χ	NOUN
ejpam-5967	161	21	)	)	PUNCT
ejpam-5967	161	22	)	)	PUNCT
ejpam-5967	161	23	.	.	PUNCT
ejpam-5967	162	1	then	then	ADV
ejpam-5967	162	2	sξwχ((h	sξwχ((h	ADJ
ejpam-5967	162	3	∗	∗	NOUN
ejpam-5967	162	4	∗k)(ξ	∗k)(ξ	NOUN
ejpam-5967	162	5	,	,	PUNCT
ejpam-5967	162	6	χ	χ	NOUN
ejpam-5967	162	7	)	)	PUNCT
ejpam-5967	162	8	)	)	PUNCT
ejpam-5967	163	1	=	=	PUNCT
ejpam-5967	163	2	δϵ2h(δ	δϵ2h(δ	NOUN
ejpam-5967	163	3	,	,	PUNCT
ejpam-5967	163	4	ϵ)k(δ	ϵ)k(δ	NUM
ejpam-5967	163	5	,	,	PUNCT
ejpam-5967	163	6	ϵ	ϵ	NOUN
ejpam-5967	163	7	)	)	PUNCT
ejpam-5967	163	8	.	.	PUNCT
ejpam-5967	164	1	proof	proof	NOUN
ejpam-5967	164	2	.	.	PUNCT
ejpam-5967	165	1	sξwχ((h∗∗k)(ξ	sξwχ((h∗∗k)(ξ	NOUN
ejpam-5967	165	2	,	,	PUNCT
ejpam-5967	165	3	χ	χ	NOUN
ejpam-5967	165	4	)	)	PUNCT
ejpam-5967	165	5	)	)	PUNCT
ejpam-5967	166	1	=	=	SYM
ejpam-5967	166	2	1	1	NUM
ejpam-5967	166	3	δϵ2	δϵ2	NOUN
ejpam-5967	166	4	∞∫	∞∫	PROPN
ejpam-5967	166	5	0	0	NUM
ejpam-5967	167	1	∞∫	∞∫	PROPN
ejpam-5967	167	2	0	0	NUM
ejpam-5967	168	1	e−	e−	PROPN
ejpam-5967	168	2	ξ	ξ	PROPN
ejpam-5967	168	3	δ	δ	PROPN
ejpam-5967	168	4	−χ	−χ	VERB
ejpam-5967	168	5	ϵ	ϵ	X
ejpam-5967	168	6	(	(	PUNCT
ejpam-5967	168	7	h	h	PROPN
ejpam-5967	168	8	∗	∗	NOUN
ejpam-5967	168	9	∗k)(ξ	∗k)(ξ	NOUN
ejpam-5967	168	10	,	,	PUNCT
ejpam-5967	168	11	χ)dξdχ	χ)dξdχ	PROPN
ejpam-5967	168	12	=	=	SYM
ejpam-5967	168	13	1	1	NUM
ejpam-5967	168	14	δϵ2	δϵ2	NOUN
ejpam-5967	168	15	∞∫	∞∫	PROPN
ejpam-5967	168	16	0	0	NUM
ejpam-5967	169	1	∞∫	∞∫	PROPN
ejpam-5967	169	2	0	0	NUM
ejpam-5967	170	1	e−	e−	PROPN
ejpam-5967	170	2	ξ	ξ	PROPN
ejpam-5967	170	3	δ	δ	PROPN
ejpam-5967	170	4	−χ	−χ	VERB
ejpam-5967	170	5	ϵ	ϵ	X
ejpam-5967	170	6			PROPN
ejpam-5967	170	7	ξ∫	ξ∫	PROPN
ejpam-5967	170	8	0	0	NUM
ejpam-5967	170	9	χ∫	χ∫	NOUN
ejpam-5967	170	10	0	0	NUM
ejpam-5967	170	11	h(ξ	h(ξ	PROPN
ejpam-5967	171	1	−	−	PROPN
ejpam-5967	171	2	u	u	PROPN
ejpam-5967	171	3	,	,	PUNCT
ejpam-5967	171	4	χ−	χ−	NOUN
ejpam-5967	171	5	v)k(u	v)k(u	NOUN
ejpam-5967	171	6	,	,	PUNCT
ejpam-5967	171	7	v)dudv	v)dudv	NOUN
ejpam-5967	171	8			PROPN
ejpam-5967	171	9	dξdχ	dξdχ	PROPN
ejpam-5967	171	10	.	.	PUNCT
ejpam-5967	172	1	(	(	PUNCT
ejpam-5967	172	2	17	17	NUM
ejpam-5967	172	3	)	)	PUNCT
ejpam-5967	172	4	r.	r.	PROPN
ejpam-5967	172	5	abu	abu	PROPN
ejpam-5967	172	6	awwad	awwad	PROPN
ejpam-5967	172	7	et	et	PROPN
ejpam-5967	172	8	al	al	PROPN
ejpam-5967	172	9	.	.	PUNCT
ejpam-5967	172	10	/	/	SYM
ejpam-5967	172	11	eur	eur	PROPN
ejpam-5967	172	12	.	.	PUNCT
ejpam-5967	173	1	j.	j.	PROPN
ejpam-5967	173	2	pure	pure	PROPN
ejpam-5967	173	3	appl	appl	PROPN
ejpam-5967	173	4	.	.	PROPN
ejpam-5967	173	5	math	math	PROPN
ejpam-5967	173	6	,	,	PUNCT
ejpam-5967	173	7	18	18	NUM
ejpam-5967	173	8	(	(	PUNCT
ejpam-5967	173	9	2	2	NUM
ejpam-5967	173	10	)	)	PUNCT
ejpam-5967	173	11	(	(	PUNCT
ejpam-5967	173	12	2025	2025	NUM
ejpam-5967	173	13	)	)	PUNCT
ejpam-5967	173	14	,	,	PUNCT
ejpam-5967	173	15	5967	5967	NUM
ejpam-5967	173	16	8	8	NUM
ejpam-5967	173	17	of	of	ADP
ejpam-5967	173	18	17	17	NUM
ejpam-5967	173	19	using	use	VERB
ejpam-5967	173	20	the	the	DET
ejpam-5967	173	21	heaviside	heaviside	ADJ
ejpam-5967	173	22	unit	unit	NOUN
ejpam-5967	173	23	step	step	NOUN
ejpam-5967	173	24	function	function	NOUN
ejpam-5967	173	25	,	,	PUNCT
ejpam-5967	173	26	we	we	PRON
ejpam-5967	173	27	can	can	AUX
ejpam-5967	173	28	write	write	VERB
ejpam-5967	173	29	equation	equation	NOUN
ejpam-5967	173	30	17	17	NUM
ejpam-5967	173	31	as	as	ADP
ejpam-5967	173	32	sξwχ((h∗∗h)(ξ	sξwχ((h∗∗h)(ξ	PROPN
ejpam-5967	173	33	,	,	PUNCT
ejpam-5967	173	34	χ	χ	NOUN
ejpam-5967	173	35	)	)	PUNCT
ejpam-5967	173	36	)	)	PUNCT
ejpam-5967	174	1	=	=	SYM
ejpam-5967	174	2	1	1	NUM
ejpam-5967	174	3	δϵ2	δϵ2	NOUN
ejpam-5967	174	4	∞∫	∞∫	PROPN
ejpam-5967	174	5	0	0	NUM
ejpam-5967	175	1	∞∫	∞∫	PROPN
ejpam-5967	175	2	0	0	NUM
ejpam-5967	176	1	e−	e−	PROPN
ejpam-5967	176	2	ξ	ξ	PROPN
ejpam-5967	176	3	δ	δ	PROPN
ejpam-5967	176	4	−χ	−χ	VERB
ejpam-5967	176	5	ϵ	ϵ	ADP
ejpam-5967	176	6	∞∫	∞∫	NOUN
ejpam-5967	176	7	0	0	NUM
ejpam-5967	177	1	∞∫	∞∫	NOUN
ejpam-5967	177	2	0	0	NUM
ejpam-5967	178	1	h(ξ	h(ξ	PROPN
ejpam-5967	178	2	−	−	PROPN
ejpam-5967	178	3	u	u	NOUN
ejpam-5967	178	4	,	,	PUNCT
ejpam-5967	178	5	χ−	χ−	NOUN
ejpam-5967	178	6	v)f	v)f	AUX
ejpam-5967	178	7	(	(	PUNCT
ejpam-5967	178	8	ξ	ξ	X
ejpam-5967	178	9	−	−	PROPN
ejpam-5967	178	10	u	u	NOUN
ejpam-5967	178	11	,	,	PUNCT
ejpam-5967	178	12	χ−	χ−	NOUN
ejpam-5967	178	13	v)k(u	v)k(u	NOUN
ejpam-5967	178	14	,	,	PUNCT
ejpam-5967	178	15	v))dudv	v))dudv	ADV
ejpam-5967	178	16			PROPN
ejpam-5967	178	17	dξdχ	dξdχ	NOUN
ejpam-5967	178	18	=	=	SYM
ejpam-5967	178	19	∞∫	∞∫	PROPN
ejpam-5967	178	20	0	0	NUM
ejpam-5967	179	1	∞∫	∞∫	PROPN
ejpam-5967	179	2	0	0	NUM
ejpam-5967	180	1	k(u	k(u	X
ejpam-5967	180	2	,	,	PUNCT
ejpam-5967	180	3	v	v	NOUN
ejpam-5967	180	4	)	)	PUNCT
ejpam-5967	180	5			PROPN
ejpam-5967	180	6	1	1	NUM
ejpam-5967	180	7	δϵ2	δϵ2	NOUN
ejpam-5967	180	8	∞∫	∞∫	PROPN
ejpam-5967	180	9	0	0	NUM
ejpam-5967	180	10	∞∫	∞∫	PROPN
ejpam-5967	180	11	0	0	NUM
ejpam-5967	181	1	e−	e−	PROPN
ejpam-5967	181	2	ξ	ξ	PROPN
ejpam-5967	181	3	δ	δ	PROPN
ejpam-5967	181	4	−χ	−χ	VERB
ejpam-5967	181	5	ϵ	ϵ	X
ejpam-5967	181	6	h(ξ	h(ξ	PROPN
ejpam-5967	181	7	−	−	PROPN
ejpam-5967	181	8	u	u	NOUN
ejpam-5967	181	9	,	,	PUNCT
ejpam-5967	181	10	χ−	χ−	NOUN
ejpam-5967	181	11	v)f	v)f	AUX
ejpam-5967	181	12	(	(	PUNCT
ejpam-5967	181	13	ξ	ξ	X
ejpam-5967	181	14	−	−	PROPN
ejpam-5967	181	15	u	u	NOUN
ejpam-5967	181	16	,	,	PUNCT
ejpam-5967	181	17	χ−	χ−	PROPN
ejpam-5967	181	18	v)dξdχ	v)dξdχ	NOUN
ejpam-5967	181	19			PROPN
ejpam-5967	181	20	dudv	dudv	ADV
ejpam-5967	181	21	.	.	PUNCT
ejpam-5967	182	1	so	so	ADV
ejpam-5967	182	2	by	by	ADP
ejpam-5967	182	3	lemma	lemma	PROPN
ejpam-5967	182	4	1	1	NUM
ejpam-5967	182	5	,	,	PUNCT
ejpam-5967	182	6	we	we	PRON
ejpam-5967	182	7	have	have	VERB
ejpam-5967	182	8	sξwχ((h	sξwχ((h	ADJ
ejpam-5967	182	9	∗	∗	NOUN
ejpam-5967	182	10	∗k)(ξ	∗k)(ξ	NOUN
ejpam-5967	182	11	,	,	PUNCT
ejpam-5967	182	12	χ	χ	NOUN
ejpam-5967	182	13	)	)	PUNCT
ejpam-5967	182	14	)	)	PUNCT
ejpam-5967	183	1	=	=	SYM
ejpam-5967	183	2	h(δ	h(δ	NOUN
ejpam-5967	183	3	,	,	PUNCT
ejpam-5967	183	4	ϵ	ϵ	X
ejpam-5967	183	5	)	)	PUNCT
ejpam-5967	183	6	∞∫	∞∫	NOUN
ejpam-5967	183	7	0	0	NUM
ejpam-5967	183	8	∞∫	∞∫	PROPN
ejpam-5967	183	9	0	0	NUM
ejpam-5967	183	10	k(u	k(u	X
ejpam-5967	183	11	,	,	PUNCT
ejpam-5967	183	12	v)e−	v)e−	VERB
ejpam-5967	183	13	u	u	NOUN
ejpam-5967	183	14	δ	δ	NOUN
ejpam-5967	183	15	−	−	PROPN
ejpam-5967	183	16	v	v	ADP
ejpam-5967	183	17	ϵ	ϵ	X
ejpam-5967	183	18	dudv	dudv	NOUN
ejpam-5967	183	19	=	=	SYM
ejpam-5967	183	20	δϵ2h(δ	δϵ2h(δ	NOUN
ejpam-5967	183	21	,	,	PUNCT
ejpam-5967	183	22	ϵ)k(δ	ϵ)k(δ	NUM
ejpam-5967	183	23	,	,	PUNCT
ejpam-5967	183	24	ϵ	ϵ	NOUN
ejpam-5967	183	25	)	)	PUNCT
ejpam-5967	183	26	.	.	PUNCT
ejpam-5967	184	1	in	in	ADP
ejpam-5967	184	2	table	table	NOUN
ejpam-5967	184	3	1	1	NUM
ejpam-5967	184	4	,	,	PUNCT
ejpam-5967	184	5	we	we	PRON
ejpam-5967	184	6	have	have	VERB
ejpam-5967	184	7	the	the	DET
ejpam-5967	184	8	daht	daht	NOUN
ejpam-5967	184	9	of	of	ADP
ejpam-5967	184	10	some	some	DET
ejpam-5967	184	11	basic	basic	ADJ
ejpam-5967	184	12	functions	function	NOUN
ejpam-5967	184	13	.	.	PUNCT
ejpam-5967	185	1	table	table	NOUN
ejpam-5967	185	2	1	1	NUM
ejpam-5967	185	3	:	:	PUNCT
ejpam-5967	185	4	table	table	NOUN
ejpam-5967	185	5	of	of	ADP
ejpam-5967	185	6	daht	daht	PROPN
ejpam-5967	185	7	h(ξ	h(ξ	PROPN
ejpam-5967	185	8	,	,	PUNCT
ejpam-5967	185	9	χ	χ	X
ejpam-5967	185	10	)	)	PUNCT
ejpam-5967	185	11	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	185	12	,	,	PUNCT
ejpam-5967	185	13	χ	χ	NOUN
ejpam-5967	185	14	)	)	PUNCT
ejpam-5967	185	15	)	)	PUNCT
ejpam-5967	185	16	1	1	NUM
ejpam-5967	185	17	1	1	NUM
ejpam-5967	185	18	ϵ	ϵ	NOUN
ejpam-5967	185	19	,	,	PUNCT
ejpam-5967	185	20	re(1δ	re(1δ	VERB
ejpam-5967	185	21	)	)	PUNCT
ejpam-5967	185	22	>	>	SYM
ejpam-5967	185	23	0	0	NUM
ejpam-5967	185	24	ξuχv	ξuχv	ADJ
ejpam-5967	185	25	δuϵv−1γ(u+	δuϵv−1γ(u+	NOUN
ejpam-5967	185	26	1)γ(v	1)γ(v	NUM
ejpam-5967	185	27	+	+	CCONJ
ejpam-5967	185	28	1	1	NUM
ejpam-5967	185	29	)	)	PUNCT
ejpam-5967	185	30	,	,	PUNCT
ejpam-5967	185	31	re(1δ	re(1δ	VERB
ejpam-5967	185	32	)	)	PUNCT
ejpam-5967	185	33	>	>	PUNCT
ejpam-5967	185	34	0	0	PUNCT
ejpam-5967	185	35	and	and	CCONJ
ejpam-5967	185	36	re(u	re(u	PUNCT
ejpam-5967	185	37	)	)	PUNCT
ejpam-5967	185	38	>	>	X
ejpam-5967	185	39	−1	−1	NOUN
ejpam-5967	185	40	euξ+vχ	euξ+vχ	PROPN
ejpam-5967	185	41	1	1	NUM
ejpam-5967	185	42	ϵ(1−δu)(1−vϵ	ϵ(1−δu)(1−vϵ	PROPN
ejpam-5967	185	43	)	)	PUNCT
ejpam-5967	185	44	,	,	PUNCT
ejpam-5967	185	45	re(1δ	re(1δ	VERB
ejpam-5967	185	46	)	)	PUNCT
ejpam-5967	185	47	>	>	X
ejpam-5967	185	48	re(u	re(u	PROPN
ejpam-5967	185	49	)	)	PUNCT
ejpam-5967	185	50	.	.	PUNCT
ejpam-5967	186	1	ei(uξ+vχ	ei(uξ+vχ	X
ejpam-5967	186	2	)	)	PUNCT
ejpam-5967	186	3	−1	−1	NOUN
ejpam-5967	186	4	ϵ(δu+i)(i+vϵ	ϵ(δu+i)(i+vϵ	NOUN
ejpam-5967	186	5	)	)	PUNCT
ejpam-5967	186	6	,	,	PUNCT
ejpam-5967	186	7	im(u	im(u	X
ejpam-5967	186	8	)	)	PUNCT
ejpam-5967	187	1	+	+	CCONJ
ejpam-5967	187	2	re(1δ	re(1δ	ADJ
ejpam-5967	187	3	)	)	PUNCT
ejpam-5967	187	4	>	>	SYM
ejpam-5967	187	5	0	0	NUM
ejpam-5967	187	6	sin	sin	NOUN
ejpam-5967	187	7	(	(	PUNCT
ejpam-5967	187	8	uξ	uξ	NOUN
ejpam-5967	187	9	+	+	CCONJ
ejpam-5967	187	10	vχ	vχ	NOUN
ejpam-5967	187	11	)	)	PUNCT
ejpam-5967	187	12	uδ+ϵv	uδ+ϵv	PROPN
ejpam-5967	187	13	ϵ(1+u2δ2)(1+v2ϵ2	ϵ(1+u2δ2)(1+v2ϵ2	PROPN
ejpam-5967	187	14	)	)	PUNCT
ejpam-5967	187	15	,	,	PUNCT
ejpam-5967	187	16	|im(u)|	|im(u)|	PROPN
ejpam-5967	187	17	<	<	X
ejpam-5967	187	18	re(1δ	re(1δ	PROPN
ejpam-5967	187	19	)	)	PUNCT
ejpam-5967	187	20	cos	cos	PROPN
ejpam-5967	187	21	(	(	PUNCT
ejpam-5967	187	22	uξ	uξ	NOUN
ejpam-5967	187	23	+	+	CCONJ
ejpam-5967	187	24	vχ	vχ	NOUN
ejpam-5967	187	25	)	)	PUNCT
ejpam-5967	187	26	1−δϵuv	1−δϵuv	NUM
ejpam-5967	187	27	ϵ(1+u2δ2)(1+v2ϵ2	ϵ(1+u2δ2)(1+v2ϵ2	X
ejpam-5967	187	28	)	)	PUNCT
ejpam-5967	187	29	,	,	PUNCT
ejpam-5967	187	30	|im(u)|	|im(u)|	PROPN
ejpam-5967	187	31	<	<	X
ejpam-5967	187	32	re(1δ	re(1δ	PROPN
ejpam-5967	187	33	)	)	PUNCT
ejpam-5967	187	34	sinh	sinh	NOUN
ejpam-5967	187	35	(	(	PUNCT
ejpam-5967	187	36	uξ	uξ	NOUN
ejpam-5967	187	37	+	+	CCONJ
ejpam-5967	187	38	vχ	vχ	NOUN
ejpam-5967	187	39	)	)	PUNCT
ejpam-5967	187	40	uδ+ϵv	uδ+ϵv	PROPN
ejpam-5967	187	41	ϵ(1−δ2u2)(1−v2ϵ2	ϵ(1−δ2u2)(1−v2ϵ2	PROPN
ejpam-5967	187	42	)	)	PUNCT
ejpam-5967	187	43	,	,	PUNCT
ejpam-5967	187	44	re(1δ	re(1δ	VERB
ejpam-5967	187	45	)	)	PUNCT
ejpam-5967	187	46	>	>	X
ejpam-5967	187	47	re(u	re(u	PROPN
ejpam-5967	187	48	)	)	PUNCT
ejpam-5967	187	49	and	and	CCONJ
ejpam-5967	187	50	re(1δ	re(1δ	VERB
ejpam-5967	187	51	+	+	CCONJ
ejpam-5967	187	52	u	u	NOUN
ejpam-5967	187	53	)	)	PUNCT
ejpam-5967	187	54	>	>	SYM
ejpam-5967	187	55	0	0	NUM
ejpam-5967	188	1	cosh	cosh	NOUN
ejpam-5967	188	2	(	(	PUNCT
ejpam-5967	188	3	uξ	uξ	NOUN
ejpam-5967	188	4	+	+	CCONJ
ejpam-5967	188	5	vχ	vχ	NOUN
ejpam-5967	188	6	)	)	PUNCT
ejpam-5967	188	7	1+δϵuv	1+δϵuv	NOUN
ejpam-5967	188	8	ϵ(1−δ2u2)(1−v2ϵ2	ϵ(1−δ2u2)(1−v2ϵ2	PROPN
ejpam-5967	188	9	)	)	PUNCT
ejpam-5967	188	10	,	,	PUNCT
ejpam-5967	188	11	re(1δ	re(1δ	VERB
ejpam-5967	188	12	)	)	PUNCT
ejpam-5967	188	13	>	>	X
ejpam-5967	188	14	re(u	re(u	PROPN
ejpam-5967	188	15	)	)	PUNCT
ejpam-5967	188	16	and	and	CCONJ
ejpam-5967	188	17	re(1δ	re(1δ	VERB
ejpam-5967	188	18	+	+	CCONJ
ejpam-5967	188	19	u	u	NOUN
ejpam-5967	188	20	)	)	PUNCT
ejpam-5967	188	21	>	>	SYM
ejpam-5967	188	22	0	0	NUM
ejpam-5967	188	23	g(ξ)f(χ	g(ξ)f(χ	NOUN
ejpam-5967	188	24	)	)	PUNCT
ejpam-5967	188	25	s(g(ξ))w	s(g(ξ))w	NOUN
ejpam-5967	188	26	(	(	PUNCT
ejpam-5967	188	27	f(χ	f(χ	PROPN
ejpam-5967	188	28	)	)	PUNCT
ejpam-5967	188	29	)	)	PUNCT
ejpam-5967	189	1	h(ξ	h(ξ	PROPN
ejpam-5967	189	2	−	−	PROPN
ejpam-5967	189	3	u	u	NOUN
ejpam-5967	189	4	,	,	PUNCT
ejpam-5967	189	5	χ−	χ−	NOUN
ejpam-5967	189	6	v)h(ξ	v)h(ξ	NOUN
ejpam-5967	189	7	−	−	PROPN
ejpam-5967	189	8	u	u	PROPN
ejpam-5967	189	9	,	,	PUNCT
ejpam-5967	189	10	χ−	χ−	PROPN
ejpam-5967	189	11	v	v	NOUN
ejpam-5967	189	12	)	)	PUNCT
ejpam-5967	189	13	e−	e−	PROPN
ejpam-5967	189	14	u	u	NOUN
ejpam-5967	189	15	δ	δ	PROPN
ejpam-5967	189	16	−	−	PROPN
ejpam-5967	189	17	v	v	ADP
ejpam-5967	189	18	ϵ	ϵ	PRON
ejpam-5967	189	19	sξwχ(h(ξ	sξwχ(h(ξ	NOUN
ejpam-5967	189	20	,	,	PUNCT
ejpam-5967	189	21	χ	χ	X
ejpam-5967	189	22	)	)	PUNCT
ejpam-5967	189	23	(	(	PUNCT
ejpam-5967	189	24	h	h	NOUN
ejpam-5967	189	25	∗	∗	NOUN
ejpam-5967	189	26	∗k)(ξ	∗k)(ξ	NOUN
ejpam-5967	189	27	,	,	PUNCT
ejpam-5967	189	28	χ	χ	NOUN
ejpam-5967	189	29	)	)	PUNCT
ejpam-5967	189	30	δϵ2sξwχ(h(ξ	δϵ2sξwχ(h(ξ	NOUN
ejpam-5967	189	31	,	,	PUNCT
ejpam-5967	189	32	χ))sξwχ(k(ξ	χ))sξwχ(k(ξ	PROPN
ejpam-5967	189	33	,	,	PUNCT
ejpam-5967	189	34	χ	χ	NOUN
ejpam-5967	189	35	)	)	PUNCT
ejpam-5967	189	36	)	)	PUNCT
ejpam-5967	189	37	j0	j0	PROPN
ejpam-5967	189	38	(	(	PUNCT
ejpam-5967	189	39	c	c	NOUN
ejpam-5967	189	40	√	√	PROPN
ejpam-5967	189	41	ξχ	ξχ	NOUN
ejpam-5967	189	42	)	)	PUNCT
ejpam-5967	189	43	4	4	NUM
ejpam-5967	189	44	ϵ(4+c2δϵ	ϵ(4+c2δϵ	ADJ
ejpam-5967	189	45	)	)	PUNCT
ejpam-5967	189	46	,	,	PUNCT
ejpam-5967	189	47	re	re	ADP
ejpam-5967	189	48	(	(	PUNCT
ejpam-5967	189	49	1	1	NUM
ejpam-5967	189	50	δ	δ	NOUN
ejpam-5967	189	51	+	+	CCONJ
ejpam-5967	189	52	c2ϵ	c2ϵ	NOUN
ejpam-5967	189	53	4	4	NUM
ejpam-5967	189	54	)	)	PUNCT
ejpam-5967	189	55	>	>	X
ejpam-5967	189	56	0	0	NUM
ejpam-5967	189	57	4	4	NUM
ejpam-5967	189	58	.	.	PUNCT
ejpam-5967	189	59	applications	application	NOUN
ejpam-5967	189	60	in	in	ADP
ejpam-5967	189	61	this	this	DET
ejpam-5967	189	62	section	section	NOUN
ejpam-5967	189	63	,	,	PUNCT
ejpam-5967	189	64	we	we	PRON
ejpam-5967	189	65	use	use	VERB
ejpam-5967	189	66	the	the	DET
ejpam-5967	189	67	ds	ds	NOUN
ejpam-5967	189	68	-	-	PUNCT
ejpam-5967	189	69	swt	swt	NOUN
ejpam-5967	189	70	for	for	ADP
ejpam-5967	189	71	solving	solve	VERB
ejpam-5967	189	72	pdes	pde	NOUN
ejpam-5967	189	73	and	and	CCONJ
ejpam-5967	189	74	integro	integro	PROPN
ejpam-5967	189	75	pdes	pde	NOUN
ejpam-5967	189	76	r.	r.	PROPN
ejpam-5967	189	77	abu	abu	PROPN
ejpam-5967	189	78	awwad	awwad	PROPN
ejpam-5967	189	79	et	et	PROPN
ejpam-5967	189	80	al	al	PROPN
ejpam-5967	189	81	.	.	PUNCT
ejpam-5967	189	82	/	/	SYM
ejpam-5967	189	83	eur	eur	PROPN
ejpam-5967	189	84	.	.	PUNCT
ejpam-5967	190	1	j.	j.	PROPN
ejpam-5967	190	2	pure	pure	PROPN
ejpam-5967	190	3	appl	appl	PROPN
ejpam-5967	190	4	.	.	PROPN
ejpam-5967	190	5	math	math	PROPN
ejpam-5967	190	6	,	,	PUNCT
ejpam-5967	190	7	18	18	NUM
ejpam-5967	190	8	(	(	PUNCT
ejpam-5967	190	9	2	2	NUM
ejpam-5967	190	10	)	)	PUNCT
ejpam-5967	190	11	(	(	PUNCT
ejpam-5967	190	12	2025	2025	NUM
ejpam-5967	190	13	)	)	PUNCT
ejpam-5967	190	14	,	,	PUNCT
ejpam-5967	190	15	5967	5967	NUM
ejpam-5967	190	16	9	9	NUM
ejpam-5967	190	17	of	of	ADP
ejpam-5967	190	18	17	17	NUM
ejpam-5967	190	19	4.1	4.1	NUM
ejpam-5967	190	20	.	.	PUNCT
ejpam-5967	191	1	ds	ds	PROPN
ejpam-5967	191	2	-	-	PUNCT
ejpam-5967	191	3	swt	swt	NOUN
ejpam-5967	191	4	for	for	ADP
ejpam-5967	191	5	solving	solve	VERB
ejpam-5967	191	6	pdes	pde	NOUN
ejpam-5967	191	7	consider	consider	VERB
ejpam-5967	191	8	the	the	DET
ejpam-5967	191	9	pde	pde	NOUN
ejpam-5967	191	10	of	of	ADP
ejpam-5967	191	11	the	the	DET
ejpam-5967	191	12	form	form	NOUN
ejpam-5967	191	13	a1hξξ	a1hξξ	ADP
ejpam-5967	191	14	+	+	NOUN
ejpam-5967	191	15	a2hξχ	a2hξχ	X
ejpam-5967	191	16	+	+	NUM
ejpam-5967	191	17	a3hχχ	a3hχχ	NOUN
ejpam-5967	191	18	+	+	NOUN
ejpam-5967	191	19	a4hξ	a4hξ	X
ejpam-5967	191	20	+	+	NOUN
ejpam-5967	191	21	a5hχ	a5hχ	X
ejpam-5967	191	22	+	+	ADJ
ejpam-5967	191	23	a6h	a6h	NOUN
ejpam-5967	191	24	(	(	PUNCT
ejpam-5967	191	25	ξ	ξ	X
ejpam-5967	191	26	,	,	PUNCT
ejpam-5967	191	27	χ	χ	NOUN
ejpam-5967	191	28	)	)	PUNCT
ejpam-5967	192	1	=	=	SYM
ejpam-5967	192	2	k	k	PROPN
ejpam-5967	192	3	(	(	PUNCT
ejpam-5967	192	4	ξ	ξ	PROPN
ejpam-5967	192	5	,	,	PUNCT
ejpam-5967	192	6	χ	χ	NOUN
ejpam-5967	192	7	)	)	PUNCT
ejpam-5967	192	8	(	(	PUNCT
ejpam-5967	192	9	18	18	NUM
ejpam-5967	192	10	)	)	PUNCT
ejpam-5967	192	11	with	with	ADP
ejpam-5967	192	12	ics	ics	PROPN
ejpam-5967	192	13	h(ξ	h(ξ	PROPN
ejpam-5967	192	14	,	,	PUNCT
ejpam-5967	192	15	0	0	NUM
ejpam-5967	192	16	)	)	PUNCT
ejpam-5967	192	17	=	=	X
ejpam-5967	192	18	g1	g1	NOUN
ejpam-5967	192	19	(	(	PUNCT
ejpam-5967	192	20	ξ	ξ	NOUN
ejpam-5967	192	21	)	)	PUNCT
ejpam-5967	192	22	,	,	PUNCT
ejpam-5967	192	23	hχ(ξ	hχ(ξ	NOUN
ejpam-5967	192	24	,	,	PUNCT
ejpam-5967	192	25	0	0	NUM
ejpam-5967	192	26	)	)	PUNCT
ejpam-5967	193	1	=	=	SYM
ejpam-5967	193	2	g2	g2	PROPN
ejpam-5967	193	3	(	(	PUNCT
ejpam-5967	193	4	ξ	ξ	NOUN
ejpam-5967	193	5	)	)	PUNCT
ejpam-5967	193	6	and	and	CCONJ
ejpam-5967	193	7	bcs	bcs	NOUN
ejpam-5967	193	8	h	h	NOUN
ejpam-5967	193	9	(	(	PUNCT
ejpam-5967	193	10	0	0	NUM
ejpam-5967	193	11	,	,	PUNCT
ejpam-5967	193	12	χ	χ	NOUN
ejpam-5967	193	13	)	)	PUNCT
ejpam-5967	193	14	=	=	SYM
ejpam-5967	193	15	f1	f1	NOUN
ejpam-5967	193	16	(	(	PUNCT
ejpam-5967	193	17	χ	χ	NOUN
ejpam-5967	193	18	)	)	PUNCT
ejpam-5967	193	19	,	,	PUNCT
ejpam-5967	193	20	hξ	hξ	X
ejpam-5967	193	21	(	(	PUNCT
ejpam-5967	193	22	0	0	NUM
ejpam-5967	193	23	,	,	PUNCT
ejpam-5967	193	24	χ	χ	NOUN
ejpam-5967	193	25	)	)	PUNCT
ejpam-5967	193	26	=	=	SYM
ejpam-5967	193	27	f2	f2	PROPN
ejpam-5967	193	28	(	(	PUNCT
ejpam-5967	193	29	χ	χ	NOUN
ejpam-5967	193	30	)	)	PUNCT
ejpam-5967	193	31	and	and	CCONJ
ejpam-5967	193	32	assuming	assume	VERB
ejpam-5967	193	33	h	h	NOUN
ejpam-5967	193	34	(	(	PUNCT
ejpam-5967	193	35	0	0	NUM
ejpam-5967	193	36	,	,	PUNCT
ejpam-5967	193	37	0	0	NUM
ejpam-5967	193	38	)	)	PUNCT
ejpam-5967	193	39	=	=	VERB
ejpam-5967	194	1	φ	φ	PROPN
ejpam-5967	194	2	given	give	VERB
ejpam-5967	194	3	that	that	DET
ejpam-5967	194	4	h	h	NOUN
ejpam-5967	194	5	(	(	PUNCT
ejpam-5967	194	6	ξ	ξ	PROPN
ejpam-5967	194	7	,	,	PUNCT
ejpam-5967	194	8	χ	χ	X
ejpam-5967	194	9	)	)	PUNCT
ejpam-5967	194	10	is	be	AUX
ejpam-5967	194	11	the	the	DET
ejpam-5967	194	12	unknown	unknown	ADJ
ejpam-5967	194	13	function	function	NOUN
ejpam-5967	194	14	,	,	PUNCT
ejpam-5967	194	15	k	k	PROPN
ejpam-5967	194	16	(	(	PUNCT
ejpam-5967	194	17	ξ	ξ	PROPN
ejpam-5967	194	18	,	,	PUNCT
ejpam-5967	194	19	χ	χ	X
ejpam-5967	194	20	)	)	PUNCT
ejpam-5967	194	21	is	be	AUX
ejpam-5967	194	22	the	the	DET
ejpam-5967	194	23	source	source	NOUN
ejpam-5967	194	24	term	term	NOUN
ejpam-5967	194	25	,	,	PUNCT
ejpam-5967	194	26	anda1	anda1	NOUN
ejpam-5967	194	27	,	,	PUNCT
ejpam-5967	194	28	a2	a2	PROPN
ejpam-5967	194	29	,	,	PUNCT
ejpam-5967	194	30	...	...	PUNCT
ejpam-5967	194	31	,	,	PUNCT
ejpam-5967	194	32	a6	a6	NOUN
ejpam-5967	194	33	and	and	CCONJ
ejpam-5967	194	34	φ	φ	PROPN
ejpam-5967	194	35	are	be	AUX
ejpam-5967	194	36	constants	constant	NOUN
ejpam-5967	194	37	,	,	PUNCT
ejpam-5967	194	38	we	we	PRON
ejpam-5967	194	39	aim	aim	VERB
ejpam-5967	194	40	to	to	PART
ejpam-5967	194	41	apply	apply	VERB
ejpam-5967	194	42	the	the	DET
ejpam-5967	194	43	ds	ds	PROPN
ejpam-5967	194	44	-	-	PUNCT
ejpam-5967	194	45	swt	swt	NOUN
ejpam-5967	194	46	to	to	ADP
ejpam-5967	194	47	equation	equation	NOUN
ejpam-5967	194	48	18	18	NUM
ejpam-5967	194	49	.	.	PUNCT
ejpam-5967	194	50	to	to	PART
ejpam-5967	194	51	achieve	achieve	VERB
ejpam-5967	194	52	this	this	PRON
ejpam-5967	194	53	,	,	PUNCT
ejpam-5967	194	54	we	we	PRON
ejpam-5967	194	55	first	first	ADV
ejpam-5967	194	56	apply	apply	VERB
ejpam-5967	194	57	the	the	DET
ejpam-5967	194	58	single	single	ADJ
ejpam-5967	194	59	sumudu	sumudu	NOUN
ejpam-5967	194	60	transform	transform	NOUN
ejpam-5967	194	61	to	to	ADP
ejpam-5967	194	62	the	the	DET
ejpam-5967	194	63	ics	ic	NOUN
ejpam-5967	194	64	and	and	CCONJ
ejpam-5967	194	65	the	the	DET
ejpam-5967	194	66	single	single	ADJ
ejpam-5967	194	67	sawi	sawi	ADJ
ejpam-5967	194	68	transform	transform	NOUN
ejpam-5967	194	69	to	to	ADP
ejpam-5967	194	70	the	the	DET
ejpam-5967	194	71	bcs	bc	NOUN
ejpam-5967	194	72	.	.	PUNCT
ejpam-5967	195	1	s	s	PART
ejpam-5967	195	2	(	(	PUNCT
ejpam-5967	195	3	g1	g1	X
ejpam-5967	195	4	(	(	PUNCT
ejpam-5967	195	5	ξ	ξ	NOUN
ejpam-5967	195	6	)	)	PUNCT
ejpam-5967	195	7	)	)	PUNCT
ejpam-5967	195	8	=	=	PUNCT
ejpam-5967	195	9	g1(ξ	g1(ξ	NOUN
ejpam-5967	195	10	)	)	PUNCT
ejpam-5967	195	11	,	,	PUNCT
ejpam-5967	195	12	s	s	PART
ejpam-5967	195	13	(	(	PUNCT
ejpam-5967	195	14	g2	g2	PROPN
ejpam-5967	195	15	(	(	PUNCT
ejpam-5967	195	16	ξ	ξ	NOUN
ejpam-5967	195	17	)	)	PUNCT
ejpam-5967	195	18	)	)	PUNCT
ejpam-5967	196	1	=	=	PUNCT
ejpam-5967	196	2	g2(ξ	g2(ξ	NOUN
ejpam-5967	196	3	)	)	PUNCT
ejpam-5967	196	4	,	,	PUNCT
ejpam-5967	196	5	w	w	PROPN
ejpam-5967	196	6	(	(	PUNCT
ejpam-5967	196	7	f1	f1	PROPN
ejpam-5967	196	8	(	(	PUNCT
ejpam-5967	196	9	χ	χ	NOUN
ejpam-5967	196	10	)	)	PUNCT
ejpam-5967	196	11	)	)	PUNCT
ejpam-5967	197	1	=	=	SYM
ejpam-5967	197	2	f1(χ	f1(χ	PROPN
ejpam-5967	197	3	)	)	PUNCT
ejpam-5967	197	4	and	and	CCONJ
ejpam-5967	197	5	w	w	PROPN
ejpam-5967	197	6	(	(	PUNCT
ejpam-5967	197	7	f2	f2	PROPN
ejpam-5967	197	8	(	(	PUNCT
ejpam-5967	197	9	χ	χ	NOUN
ejpam-5967	197	10	)	)	PUNCT
ejpam-5967	197	11	)	)	PUNCT
ejpam-5967	198	1	=	=	SYM
ejpam-5967	198	2	f2(χ	f2(χ	NOUN
ejpam-5967	198	3	)	)	PUNCT
ejpam-5967	198	4	by	by	ADP
ejpam-5967	198	5	applying	apply	VERB
ejpam-5967	198	6	the	the	DET
ejpam-5967	198	7	ds	ds	ADJ
ejpam-5967	198	8	-	-	PUNCT
ejpam-5967	198	9	swt	swt	NOUN
ejpam-5967	198	10	to	to	ADP
ejpam-5967	198	11	equation	equation	NOUN
ejpam-5967	198	12	(	(	PUNCT
ejpam-5967	198	13	18	18	NUM
ejpam-5967	198	14	)	)	PUNCT
ejpam-5967	198	15	,	,	PUNCT
ejpam-5967	198	16	we	we	PRON
ejpam-5967	198	17	have	have	VERB
ejpam-5967	198	18	a1sξwχ	a1sξwχ	NOUN
ejpam-5967	198	19	(	(	PUNCT
ejpam-5967	198	20	hξξ	hξξ	X
ejpam-5967	198	21	)	)	PUNCT
ejpam-5967	199	1	+	+	NOUN
ejpam-5967	199	2	a2sξwχ	a2sξwχ	ADJ
ejpam-5967	199	3	(	(	PUNCT
ejpam-5967	199	4	hξχ	hξχ	NOUN
ejpam-5967	199	5	)	)	PUNCT
ejpam-5967	200	1	+	+	NOUN
ejpam-5967	200	2	a3sξwχ	a3sξwχ	NOUN
ejpam-5967	200	3	(	(	PUNCT
ejpam-5967	200	4	hχχ	hχχ	X
ejpam-5967	200	5	)	)	PUNCT
ejpam-5967	201	1	+	+	NOUN
ejpam-5967	201	2	a4sξwχ	a4sξwχ	NOUN
ejpam-5967	201	3	(	(	PUNCT
ejpam-5967	201	4	hξ	hξ	X
ejpam-5967	201	5	)	)	PUNCT
ejpam-5967	201	6	(	(	PUNCT
ejpam-5967	201	7	19	19	NUM
ejpam-5967	201	8	)	)	PUNCT
ejpam-5967	202	1	+	+	NOUN
ejpam-5967	202	2	a5sξwχ	a5sξwχ	PROPN
ejpam-5967	202	3	(	(	PUNCT
ejpam-5967	202	4	hχ	hχ	NOUN
ejpam-5967	202	5	)	)	PUNCT
ejpam-5967	202	6	+	+	NOUN
ejpam-5967	202	7	a6sξwχ	a6sξwχ	NOUN
ejpam-5967	202	8	(	(	PUNCT
ejpam-5967	202	9	h	h	NOUN
ejpam-5967	202	10	(	(	PUNCT
ejpam-5967	202	11	ξ	ξ	PROPN
ejpam-5967	202	12	,	,	PUNCT
ejpam-5967	202	13	χ	χ	NOUN
ejpam-5967	202	14	)	)	PUNCT
ejpam-5967	202	15	)	)	PUNCT
ejpam-5967	203	1	=	=	PRON
ejpam-5967	203	2	sξwχ	sξwχ	NOUN
ejpam-5967	203	3	(	(	PUNCT
ejpam-5967	203	4	k	k	X
ejpam-5967	203	5	(	(	PUNCT
ejpam-5967	203	6	ξ	ξ	PROPN
ejpam-5967	203	7	,	,	PUNCT
ejpam-5967	203	8	χ	χ	NOUN
ejpam-5967	203	9	)	)	PUNCT
ejpam-5967	203	10	)	)	PUNCT
ejpam-5967	203	11	by	by	ADP
ejpam-5967	203	12	the	the	DET
ejpam-5967	203	13	properties	property	NOUN
ejpam-5967	203	14	of	of	ADP
ejpam-5967	203	15	the	the	DET
ejpam-5967	203	16	derivatives	derivative	NOUN
ejpam-5967	203	17	in	in	ADP
ejpam-5967	203	18	equations	equation	NOUN
ejpam-5967	203	19	(	(	PUNCT
ejpam-5967	203	20	12)−	12)−	NUM
ejpam-5967	203	21	(	(	PUNCT
ejpam-5967	203	22	15	15	NUM
ejpam-5967	203	23	)	)	PUNCT
ejpam-5967	203	24	,	,	PUNCT
ejpam-5967	203	25	we	we	PRON
ejpam-5967	203	26	get	get	VERB
ejpam-5967	203	27	a1	a1	NOUN
ejpam-5967	203	28	(	(	PUNCT
ejpam-5967	203	29	1	1	NUM
ejpam-5967	203	30	δ2	δ2	VERB
ejpam-5967	203	31	h(δ	h(δ	NOUN
ejpam-5967	203	32	,	,	PUNCT
ejpam-5967	203	33	ϵ)−	ϵ)−	PROPN
ejpam-5967	203	34	1	1	NUM
ejpam-5967	203	35	δ2	δ2	VERB
ejpam-5967	203	36	f1(χ)−	f1(χ)−	NUM
ejpam-5967	203	37	1	1	NUM
ejpam-5967	203	38	δ	δ	PROPN
ejpam-5967	203	39	f2(χ	f2(χ	NOUN
ejpam-5967	203	40	)	)	PUNCT
ejpam-5967	203	41	)	)	PUNCT
ejpam-5967	203	42	(	(	PUNCT
ejpam-5967	203	43	20	20	X
ejpam-5967	203	44	)	)	PUNCT
ejpam-5967	204	1	+	+	NUM
ejpam-5967	204	2	a2	a2	NOUN
ejpam-5967	204	3	(	(	PUNCT
ejpam-5967	204	4	1	1	NUM
ejpam-5967	204	5	δϵ	δϵ	ADP
ejpam-5967	204	6	h(δ	h(δ	NOUN
ejpam-5967	204	7	,	,	PUNCT
ejpam-5967	204	8	ϵ)−	ϵ)−	PROPN
ejpam-5967	204	9	1	1	NUM
ejpam-5967	204	10	δϵ2	δϵ2	NOUN
ejpam-5967	204	11	g1(ξ)−	g1(ξ)−	NOUN
ejpam-5967	204	12	1	1	NUM
ejpam-5967	204	13	δϵ	δϵ	NOUN
ejpam-5967	204	14	f1(χ	f1(χ	PROPN
ejpam-5967	204	15	)	)	PUNCT
ejpam-5967	204	16	+	+	CCONJ
ejpam-5967	204	17	1	1	NUM
ejpam-5967	204	18	δϵ2	δϵ2	NOUN
ejpam-5967	204	19	φ	φ	NOUN
ejpam-5967	204	20	)	)	PUNCT
ejpam-5967	205	1	+	+	NOUN
ejpam-5967	205	2	a3	a3	NOUN
ejpam-5967	205	3	(	(	PUNCT
ejpam-5967	205	4	1	1	NUM
ejpam-5967	205	5	ϵ2	ϵ2	PROPN
ejpam-5967	205	6	h(δ	h(δ	NOUN
ejpam-5967	205	7	,	,	PUNCT
ejpam-5967	205	8	ϵ)−	ϵ)−	PROPN
ejpam-5967	205	9	1	1	NUM
ejpam-5967	205	10	ϵ3	ϵ3	NUM
ejpam-5967	205	11	g1(ξ)−	g1(ξ)−	PROPN
ejpam-5967	205	12	1	1	NUM
ejpam-5967	205	13	ϵ2	ϵ2	NOUN
ejpam-5967	205	14	g2(ξ	g2(ξ	NOUN
ejpam-5967	205	15	)	)	PUNCT
ejpam-5967	205	16	)	)	PUNCT
ejpam-5967	206	1	+	+	PUNCT
ejpam-5967	206	2	a4	a4	NOUN
ejpam-5967	206	3	(	(	PUNCT
ejpam-5967	206	4	1	1	NUM
ejpam-5967	206	5	δ	δ	NOUN
ejpam-5967	206	6	h(δ	h(δ	NOUN
ejpam-5967	206	7	,	,	PUNCT
ejpam-5967	206	8	ϵ)−	ϵ)−	PROPN
ejpam-5967	206	9	1	1	NUM
ejpam-5967	206	10	δ	δ	NOUN
ejpam-5967	206	11	f1(χ	f1(χ	PROPN
ejpam-5967	206	12	)	)	PUNCT
ejpam-5967	206	13	)	)	PUNCT
ejpam-5967	207	1	+	+	ADV
ejpam-5967	207	2	a5	a5	NOUN
ejpam-5967	207	3	(	(	PUNCT
ejpam-5967	207	4	1	1	NUM
ejpam-5967	207	5	ϵ	ϵ	X
ejpam-5967	207	6	h(δ	h(δ	NOUN
ejpam-5967	207	7	,	,	PUNCT
ejpam-5967	207	8	ϵ)h(δ	ϵ)h(δ	X
ejpam-5967	207	9	,	,	PUNCT
ejpam-5967	207	10	ϵ)−	ϵ)−	PROPN
ejpam-5967	207	11	1	1	NUM
ejpam-5967	207	12	ϵ2	ϵ2	PROPN
ejpam-5967	207	13	g1(ξ	g1(ξ	PROPN
ejpam-5967	207	14	)	)	PUNCT
ejpam-5967	207	15	)	)	PUNCT
ejpam-5967	208	1	+	+	ADP
ejpam-5967	208	2	a6h(δ	a6h(δ	PROPN
ejpam-5967	208	3	,	,	PUNCT
ejpam-5967	208	4	ϵ	ϵ	NOUN
ejpam-5967	208	5	)	)	PUNCT
ejpam-5967	208	6	=	=	SYM
ejpam-5967	208	7	k(δ	k(δ	PROPN
ejpam-5967	208	8	,	,	PUNCT
ejpam-5967	208	9	ϵ	ϵ	X
ejpam-5967	208	10	)	)	PUNCT
ejpam-5967	208	11	r.	r.	PROPN
ejpam-5967	208	12	abu	abu	PROPN
ejpam-5967	208	13	awwad	awwad	PROPN
ejpam-5967	208	14	et	et	PROPN
ejpam-5967	208	15	al	al	PROPN
ejpam-5967	208	16	.	.	PUNCT
ejpam-5967	208	17	/	/	SYM
ejpam-5967	208	18	eur	eur	PROPN
ejpam-5967	208	19	.	.	PUNCT
ejpam-5967	209	1	j.	j.	PROPN
ejpam-5967	209	2	pure	pure	PROPN
ejpam-5967	209	3	appl	appl	PROPN
ejpam-5967	209	4	.	.	PROPN
ejpam-5967	209	5	math	math	PROPN
ejpam-5967	209	6	,	,	PUNCT
ejpam-5967	209	7	18	18	NUM
ejpam-5967	209	8	(	(	PUNCT
ejpam-5967	209	9	2	2	NUM
ejpam-5967	209	10	)	)	PUNCT
ejpam-5967	209	11	(	(	PUNCT
ejpam-5967	209	12	2025	2025	NUM
ejpam-5967	209	13	)	)	PUNCT
ejpam-5967	209	14	,	,	PUNCT
ejpam-5967	209	15	5967	5967	NUM
ejpam-5967	209	16	10	10	NUM
ejpam-5967	209	17	of	of	ADP
ejpam-5967	209	18	17	17	NUM
ejpam-5967	209	19	simplify	simplify	ADJ
ejpam-5967	209	20	equation	equation	NOUN
ejpam-5967	209	21	20	20	NUM
ejpam-5967	209	22	as	as	SCONJ
ejpam-5967	209	23	follows	follow	VERB
ejpam-5967	209	24	h(δ	h(δ	NOUN
ejpam-5967	209	25	,	,	PUNCT
ejpam-5967	209	26	ϵ	ϵ	X
ejpam-5967	209	27	)	)	PUNCT
ejpam-5967	209	28	=	=	PUNCT
ejpam-5967	210	1	(	(	PUNCT
ejpam-5967	210	2	a1	a1	NOUN
ejpam-5967	210	3	1	1	NUM
ejpam-5967	210	4	δ2	δ2	VERB
ejpam-5967	210	5	+	+	NOUN
ejpam-5967	210	6	a2	a2	PROPN
ejpam-5967	210	7	1	1	NUM
ejpam-5967	210	8	δϵ	δϵ	NOUN
ejpam-5967	210	9	+	+	ADJ
ejpam-5967	210	10	a4	a4	PROPN
ejpam-5967	210	11	1	1	NUM
ejpam-5967	210	12	δ	δ	NOUN
ejpam-5967	210	13	)	)	PUNCT
ejpam-5967	210	14	f1	f1	PROPN
ejpam-5967	210	15	+	+	NOUN
ejpam-5967	210	16	a1	a1	PROPN
ejpam-5967	210	17	1	1	NUM
ejpam-5967	210	18	δf2	δf2	NOUN
ejpam-5967	210	19	+	+	CCONJ
ejpam-5967	210	20	(	(	PUNCT
ejpam-5967	210	21	a2	a2	PROPN
ejpam-5967	210	22	1	1	NUM
ejpam-5967	210	23	δϵ2	δϵ2	NOUN
ejpam-5967	210	24	+	+	NOUN
ejpam-5967	210	25	a3	a3	VERB
ejpam-5967	210	26	1	1	NUM
ejpam-5967	210	27	ϵ3	ϵ3	PROPN
ejpam-5967	210	28	+	+	NOUN
ejpam-5967	210	29	a5	a5	PROPN
ejpam-5967	210	30	1	1	NUM
ejpam-5967	210	31	ϵ2	ϵ2	ADJ
ejpam-5967	210	32	)	)	PUNCT
ejpam-5967	210	33	g1	g1	PROPN
ejpam-5967	211	1	+	+	NOUN
ejpam-5967	211	2	a3	a3	NOUN
ejpam-5967	211	3	1	1	NUM
ejpam-5967	211	4	ϵ2	ϵ2	PROPN
ejpam-5967	211	5	g2	g2	PROPN
ejpam-5967	211	6	−a2	−a2	NOUN
ejpam-5967	211	7	1	1	NUM
ejpam-5967	211	8	δϵ2	δϵ2	NOUN
ejpam-5967	211	9	φ+k	φ+k	X
ejpam-5967	211	10	a1	a1	VERB
ejpam-5967	211	11	1	1	NUM
ejpam-5967	211	12	δ2	δ2	VERB
ejpam-5967	211	13	+	+	NOUN
ejpam-5967	211	14	a2	a2	PROPN
ejpam-5967	211	15	1	1	NUM
ejpam-5967	211	16	δϵ	δϵ	NOUN
ejpam-5967	211	17	+	+	NOUN
ejpam-5967	211	18	a3	a3	NOUN
ejpam-5967	211	19	1	1	NUM
ejpam-5967	211	20	ϵ2	ϵ2	ADJ
ejpam-5967	211	21	+	+	NOUN
ejpam-5967	211	22	a4	a4	PROPN
ejpam-5967	211	23	1	1	NUM
ejpam-5967	211	24	δ	δ	NOUN
ejpam-5967	211	25	+	+	NOUN
ejpam-5967	211	26	a5	a5	PROPN
ejpam-5967	211	27	1	1	NUM
ejpam-5967	211	28	ϵ	ϵ	X
ejpam-5967	212	1	+	+	PROPN
ejpam-5967	212	2	a6	a6	NOUN
ejpam-5967	212	3	(	(	PUNCT
ejpam-5967	212	4	21	21	NUM
ejpam-5967	212	5	)	)	PUNCT
ejpam-5967	212	6	example	example	NOUN
ejpam-5967	212	7	1	1	NUM
ejpam-5967	212	8	.	.	X
ejpam-5967	212	9	consider	consider	VERB
ejpam-5967	212	10	the	the	DET
ejpam-5967	212	11	klein	klein	PROPN
ejpam-5967	212	12	-	-	PUNCT
ejpam-5967	212	13	gordon	gordon	PROPN
ejpam-5967	212	14	equation	equation	NOUN
ejpam-5967	212	15	2hξξ	2hξξ	NUM
ejpam-5967	212	16	−	−	PROPN
ejpam-5967	212	17	hχχ	hχχ	PROPN
ejpam-5967	212	18	−	−	PROPN
ejpam-5967	212	19	h(ξ	h(ξ	PROPN
ejpam-5967	212	20	,	,	PUNCT
ejpam-5967	212	21	χ	χ	NOUN
ejpam-5967	212	22	)	)	PUNCT
ejpam-5967	212	23	=	=	SYM
ejpam-5967	212	24	5	5	NUM
ejpam-5967	212	25	sinh	sinh	NOUN
ejpam-5967	212	26	ξ	ξ	PROPN
ejpam-5967	212	27	cos	cos	ADP
ejpam-5967	212	28	2χ	2χ	NOUN
ejpam-5967	212	29	,	,	PUNCT
ejpam-5967	212	30	where	where	SCONJ
ejpam-5967	212	31	ξ	ξ	X
ejpam-5967	212	32	,	,	PUNCT
ejpam-5967	212	33	χ	χ	DET
ejpam-5967	212	34	≥	≥	NOUN
ejpam-5967	212	35	0	0	NUM
ejpam-5967	212	36	,	,	PUNCT
ejpam-5967	212	37	with	with	ADP
ejpam-5967	212	38	ics	ics	PROPN
ejpam-5967	212	39	h(ξ	h(ξ	PROPN
ejpam-5967	212	40	,	,	PUNCT
ejpam-5967	212	41	0	0	NUM
ejpam-5967	212	42	)	)	PUNCT
ejpam-5967	212	43	=	=	VERB
ejpam-5967	212	44	sinh	sinh	PROPN
ejpam-5967	212	45	ξ	ξ	PROPN
ejpam-5967	212	46	,	,	PUNCT
ejpam-5967	212	47	hχ(ξ	hχ(ξ	NOUN
ejpam-5967	212	48	,	,	PUNCT
ejpam-5967	212	49	0	0	NUM
ejpam-5967	212	50	)	)	PUNCT
ejpam-5967	212	51	=	=	SYM
ejpam-5967	212	52	0	0	NUM
ejpam-5967	212	53	,	,	PUNCT
ejpam-5967	212	54	and	and	CCONJ
ejpam-5967	212	55	bcs	bcs	NOUN
ejpam-5967	212	56	h	h	NOUN
ejpam-5967	212	57	(	(	PUNCT
ejpam-5967	212	58	0	0	NUM
ejpam-5967	212	59	,	,	PUNCT
ejpam-5967	212	60	χ	χ	NOUN
ejpam-5967	212	61	)	)	PUNCT
ejpam-5967	212	62	=	=	SYM
ejpam-5967	212	63	0	0	NUM
ejpam-5967	212	64	,	,	PUNCT
ejpam-5967	212	65	hξ	hξ	X
ejpam-5967	212	66	(	(	PUNCT
ejpam-5967	212	67	0	0	NUM
ejpam-5967	212	68	,	,	PUNCT
ejpam-5967	212	69	χ	χ	NOUN
ejpam-5967	212	70	)	)	PUNCT
ejpam-5967	212	71	=	=	SYM
ejpam-5967	213	1	cos	cos	ADP
ejpam-5967	213	2	2χ	2χ	NUM
ejpam-5967	213	3	.	.	PUNCT
ejpam-5967	214	1	solution	solution	NOUN
ejpam-5967	214	2	1	1	NUM
ejpam-5967	214	3	.	.	PUNCT
ejpam-5967	214	4	by	by	ADP
ejpam-5967	214	5	applying	apply	VERB
ejpam-5967	214	6	the	the	DET
ejpam-5967	214	7	single	single	ADJ
ejpam-5967	214	8	sumudu	sumudu	NOUN
ejpam-5967	214	9	transform	transform	NOUN
ejpam-5967	214	10	to	to	ADP
ejpam-5967	214	11	the	the	DET
ejpam-5967	214	12	ics	ic	NOUN
ejpam-5967	214	13	and	and	CCONJ
ejpam-5967	214	14	the	the	DET
ejpam-5967	214	15	single	single	ADJ
ejpam-5967	214	16	sawi	sawi	ADJ
ejpam-5967	214	17	transform	transform	NOUN
ejpam-5967	214	18	to	to	ADP
ejpam-5967	214	19	the	the	DET
ejpam-5967	214	20	bcs	bc	NOUN
ejpam-5967	214	21	,	,	PUNCT
ejpam-5967	214	22	i	i	PRON
ejpam-5967	214	23	get	get	VERB
ejpam-5967	214	24	g1	g1	NOUN
ejpam-5967	214	25	=	=	SYM
ejpam-5967	214	26	δ	δ	PROPN
ejpam-5967	214	27	1−δ2	1−δ2	NUM
ejpam-5967	214	28	,	,	PUNCT
ejpam-5967	214	29	g2	g2	PROPN
ejpam-5967	214	30	=	=	SYM
ejpam-5967	214	31	0	0	NUM
ejpam-5967	214	32	,	,	PUNCT
ejpam-5967	214	33	f1	f1	NOUN
ejpam-5967	214	34	=	=	SYM
ejpam-5967	214	35	0	0	NUM
ejpam-5967	214	36	,	,	PUNCT
ejpam-5967	214	37	f2	f2	NOUN
ejpam-5967	214	38	=	=	NOUN
ejpam-5967	214	39	1	1	NUM
ejpam-5967	214	40	ϵ(1	ϵ(1	PROPN
ejpam-5967	214	41	+	+	PROPN
ejpam-5967	214	42	4ϵ2	4ϵ2	NUM
ejpam-5967	214	43	)	)	PUNCT
ejpam-5967	214	44	,	,	PUNCT
ejpam-5967	214	45	and	and	CCONJ
ejpam-5967	214	46	k	k	PROPN
ejpam-5967	214	47	=	=	X
ejpam-5967	214	48	sξwχ	sξwχ	PROPN
ejpam-5967	214	49	(	(	PUNCT
ejpam-5967	214	50	5	5	NUM
ejpam-5967	214	51	sinh	sinh	NOUN
ejpam-5967	214	52	ξ	ξ	PROPN
ejpam-5967	214	53	cos	cos	PROPN
ejpam-5967	214	54	2χ	2χ	NOUN
ejpam-5967	214	55	)	)	PUNCT
ejpam-5967	214	56	=	=	PUNCT
ejpam-5967	215	1	5δ	5δ	NUM
ejpam-5967	215	2	ϵ(1−δ2)(1	ϵ(1−δ2)(1	PROPN
ejpam-5967	215	3	+	+	PROPN
ejpam-5967	215	4	4ϵ2	4ϵ2	NUM
ejpam-5967	215	5	)	)	PUNCT
ejpam-5967	215	6	.	.	PUNCT
ejpam-5967	216	1	substitute	substitute	NOUN
ejpam-5967	216	2	in	in	ADP
ejpam-5967	216	3	equation	equation	NOUN
ejpam-5967	216	4	(	(	PUNCT
ejpam-5967	216	5	21	21	NUM
ejpam-5967	216	6	)	)	PUNCT
ejpam-5967	216	7	a1	a1	NOUN
ejpam-5967	216	8	=	=	SYM
ejpam-5967	216	9	2	2	NUM
ejpam-5967	216	10	,	,	PUNCT
ejpam-5967	216	11	a3	a3	NOUN
ejpam-5967	216	12	=	=	SYM
ejpam-5967	216	13	−1	−1	NOUN
ejpam-5967	216	14	,	,	PUNCT
ejpam-5967	216	15	a6	a6	NOUN
ejpam-5967	216	16	=	=	SYM
ejpam-5967	216	17	−1	−1	PROPN
ejpam-5967	216	18	,	,	PUNCT
ejpam-5967	216	19	a2	a2	NOUN
ejpam-5967	216	20	=	=	SYM
ejpam-5967	216	21	a4	a4	PROPN
ejpam-5967	216	22	=	=	SYM
ejpam-5967	216	23	a5	a5	NOUN
ejpam-5967	216	24	=	=	SYM
ejpam-5967	216	25	0	0	NUM
ejpam-5967	216	26	and	and	CCONJ
ejpam-5967	216	27	the	the	DET
ejpam-5967	216	28	values	value	NOUN
ejpam-5967	216	29	of	of	ADP
ejpam-5967	216	30	g1	g1	NOUN
ejpam-5967	216	31	,	,	PUNCT
ejpam-5967	216	32	g2	g2	PROPN
ejpam-5967	216	33	,	,	PUNCT
ejpam-5967	216	34	f1	f1	NOUN
ejpam-5967	216	35	,	,	PUNCT
ejpam-5967	216	36	f2	f2	PROPN
ejpam-5967	216	37	and	and	CCONJ
ejpam-5967	216	38	k	k	NOUN
ejpam-5967	216	39	,	,	PUNCT
ejpam-5967	216	40	we	we	PRON
ejpam-5967	216	41	get	get	VERB
ejpam-5967	216	42	h(δ	h(δ	NOUN
ejpam-5967	216	43	,	,	PUNCT
ejpam-5967	216	44	ϵ	ϵ	X
ejpam-5967	216	45	)	)	PUNCT
ejpam-5967	216	46	=	=	SYM
ejpam-5967	216	47	2	2	NUM
ejpam-5967	216	48	δϵ(1	δϵ(1	NOUN
ejpam-5967	216	49	+	+	PROPN
ejpam-5967	216	50	4ϵ2	4ϵ2	NUM
ejpam-5967	216	51	)	)	PUNCT
ejpam-5967	217	1	−	−	PROPN
ejpam-5967	218	1	δ	δ	PROPN
ejpam-5967	218	2	ϵ3(1−δ2	ϵ3(1−δ2	PROPN
ejpam-5967	218	3	)	)	PUNCT
ejpam-5967	219	1	+	+	CCONJ
ejpam-5967	219	2	5δ	5δ	NUM
ejpam-5967	219	3	ϵ(1−δ2)(1	ϵ(1−δ2)(1	NOUN
ejpam-5967	219	4	+	+	NOUN
ejpam-5967	219	5	4ϵ2	4ϵ2	NUM
ejpam-5967	219	6	)	)	PUNCT
ejpam-5967	219	7	2	2	NUM
ejpam-5967	219	8	δ2	δ2	VERB
ejpam-5967	219	9	−	−	NOUN
ejpam-5967	219	10	1	1	NUM
ejpam-5967	219	11	ϵ2	ϵ2	NOUN
ejpam-5967	219	12	−	−	PROPN
ejpam-5967	219	13	1	1	NUM
ejpam-5967	219	14	(	(	PUNCT
ejpam-5967	219	15	22	22	NUM
ejpam-5967	219	16	)	)	PUNCT
ejpam-5967	219	17	=	=	PUNCT
ejpam-5967	220	1	2ϵ2(1−δ2)−δ2(1	2ϵ2(1−δ2)−δ2(1	NUM
ejpam-5967	220	2	+	+	NOUN
ejpam-5967	220	3	4ϵ2)+5δ2ϵ2	4ϵ2)+5δ2ϵ2	X
ejpam-5967	220	4	δϵ3(1−δ2)(1	δϵ3(1−δ2)(1	ADP
ejpam-5967	220	5	+	+	NOUN
ejpam-5967	220	6	4ϵ2	4ϵ2	NUM
ejpam-5967	220	7	)	)	PUNCT
ejpam-5967	220	8	2ϵ2−δ2−δ2ϵ2	2ϵ2−δ2−δ2ϵ2	NUM
ejpam-5967	220	9	δ2ϵ2	δ2ϵ2	X
ejpam-5967	220	10	.	.	PUNCT
ejpam-5967	221	1	(	(	PUNCT
ejpam-5967	221	2	23	23	NUM
ejpam-5967	221	3	)	)	PUNCT
ejpam-5967	221	4	by	by	ADP
ejpam-5967	221	5	simplify	simplify	NOUN
ejpam-5967	221	6	,	,	PUNCT
ejpam-5967	221	7	we	we	PRON
ejpam-5967	221	8	get	get	VERB
ejpam-5967	221	9	h(δ	h(δ	NOUN
ejpam-5967	221	10	,	,	PUNCT
ejpam-5967	221	11	ϵ	ϵ	X
ejpam-5967	221	12	)	)	PUNCT
ejpam-5967	221	13	=	=	SYM
ejpam-5967	221	14	δ	δ	X
ejpam-5967	221	15	ϵ	ϵ	X
ejpam-5967	221	16	(	(	PUNCT
ejpam-5967	221	17	1−	1−	NUM
ejpam-5967	221	18	δ2	δ2	VERB
ejpam-5967	221	19	)	)	PUNCT
ejpam-5967	221	20	(	(	PUNCT
ejpam-5967	221	21	1	1	NUM
ejpam-5967	221	22	+	+	NUM
ejpam-5967	221	23	4ϵ2	4ϵ2	NUM
ejpam-5967	221	24	)	)	PUNCT
ejpam-5967	221	25	.	.	PUNCT
ejpam-5967	222	1	so	so	ADV
ejpam-5967	222	2	,	,	PUNCT
ejpam-5967	222	3	h(ξ	h(ξ	PROPN
ejpam-5967	222	4	,	,	PUNCT
ejpam-5967	222	5	χ	χ	NOUN
ejpam-5967	222	6	)	)	PUNCT
ejpam-5967	222	7	=	=	PUNCT
ejpam-5967	223	1	s−1	s−1	NOUN
ejpam-5967	223	2	ξ	ξ	X
ejpam-5967	223	3	w−1	w−1	PROPN
ejpam-5967	223	4	χ	χ	X
ejpam-5967	223	5	(	(	PUNCT
ejpam-5967	223	6	δ	δ	PROPN
ejpam-5967	223	7	ϵ	ϵ	X
ejpam-5967	223	8	(	(	PUNCT
ejpam-5967	223	9	1−	1−	NUM
ejpam-5967	223	10	δ2	δ2	VERB
ejpam-5967	223	11	)	)	PUNCT
ejpam-5967	223	12	(	(	PUNCT
ejpam-5967	223	13	1	1	NUM
ejpam-5967	223	14	+	+	NUM
ejpam-5967	223	15	4ϵ2	4ϵ2	NUM
ejpam-5967	223	16	)	)	PUNCT
ejpam-5967	223	17	)	)	PUNCT
ejpam-5967	224	1	=	=	PUNCT
ejpam-5967	224	2	sinh	sinh	PROPN
ejpam-5967	224	3	ξ	ξ	PROPN
ejpam-5967	224	4	cos	cos	PROPN
ejpam-5967	224	5	2χ	2χ	NUM
ejpam-5967	224	6	.	.	PUNCT
ejpam-5967	225	1	its	its	PRON
ejpam-5967	225	2	graph	graph	NOUN
ejpam-5967	225	3	is	be	AUX
ejpam-5967	225	4	r.	r.	PROPN
ejpam-5967	225	5	abu	abu	PROPN
ejpam-5967	225	6	awwad	awwad	PROPN
ejpam-5967	225	7	et	et	PROPN
ejpam-5967	225	8	al	al	PROPN
ejpam-5967	225	9	.	.	PUNCT
ejpam-5967	225	10	/	/	SYM
ejpam-5967	225	11	eur	eur	PROPN
ejpam-5967	225	12	.	.	PUNCT
ejpam-5967	226	1	j.	j.	PROPN
ejpam-5967	226	2	pure	pure	PROPN
ejpam-5967	226	3	appl	appl	PROPN
ejpam-5967	226	4	.	.	PROPN
ejpam-5967	226	5	math	math	PROPN
ejpam-5967	226	6	,	,	PUNCT
ejpam-5967	226	7	18	18	NUM
ejpam-5967	226	8	(	(	PUNCT
ejpam-5967	226	9	2	2	NUM
ejpam-5967	226	10	)	)	PUNCT
ejpam-5967	226	11	(	(	PUNCT
ejpam-5967	226	12	2025	2025	NUM
ejpam-5967	226	13	)	)	PUNCT
ejpam-5967	226	14	,	,	PUNCT
ejpam-5967	226	15	5967	5967	NUM
ejpam-5967	226	16	11	11	NUM
ejpam-5967	226	17	of	of	ADP
ejpam-5967	226	18	17	17	NUM
ejpam-5967	226	19	figure	figure	NOUN
ejpam-5967	226	20	1	1	NUM
ejpam-5967	226	21	:	:	PUNCT
ejpam-5967	226	22	the	the	DET
ejpam-5967	226	23	solution	solution	NOUN
ejpam-5967	226	24	of	of	ADP
ejpam-5967	226	25	example	example	NOUN
ejpam-5967	226	26	4.1	4.1	NUM
ejpam-5967	226	27	example	example	NOUN
ejpam-5967	226	28	2	2	NUM
ejpam-5967	226	29	.	.	X
ejpam-5967	226	30	consider	consider	VERB
ejpam-5967	226	31	the	the	DET
ejpam-5967	226	32	telegraph	telegraph	NOUN
ejpam-5967	226	33	equation	equation	NOUN
ejpam-5967	226	34	hξξ	hξξ	VERB
ejpam-5967	226	35	−	−	PROPN
ejpam-5967	226	36	2hχχ	2hχχ	NUM
ejpam-5967	226	37	−	−	NOUN
ejpam-5967	226	38	hξ	hξ	X
ejpam-5967	226	39	=	=	SYM
ejpam-5967	226	40	4h(ξ	4h(ξ	PROPN
ejpam-5967	226	41	,	,	PUNCT
ejpam-5967	226	42	χ	χ	NOUN
ejpam-5967	226	43	)	)	PUNCT
ejpam-5967	226	44	,	,	PUNCT
ejpam-5967	226	45	where	where	SCONJ
ejpam-5967	226	46	ξ	ξ	X
ejpam-5967	226	47	,	,	PUNCT
ejpam-5967	226	48	χ	χ	DET
ejpam-5967	226	49	≥	≥	NOUN
ejpam-5967	226	50	0	0	NUM
ejpam-5967	226	51	,	,	PUNCT
ejpam-5967	226	52	with	with	ADP
ejpam-5967	226	53	ics	ics	PROPN
ejpam-5967	226	54	h(ξ	h(ξ	PROPN
ejpam-5967	226	55	,	,	PUNCT
ejpam-5967	226	56	0	0	NUM
ejpam-5967	226	57	)	)	PUNCT
ejpam-5967	226	58	=	=	SYM
ejpam-5967	226	59	0	0	NUM
ejpam-5967	226	60	,	,	PUNCT
ejpam-5967	226	61	hχ(ξ	hχ(ξ	NOUN
ejpam-5967	226	62	,	,	PUNCT
ejpam-5967	226	63	0	0	NUM
ejpam-5967	226	64	)	)	PUNCT
ejpam-5967	226	65	=	=	PUNCT
ejpam-5967	227	1	e2ξ	e2ξ	VERB
ejpam-5967	227	2	,	,	PUNCT
ejpam-5967	227	3	and	and	CCONJ
ejpam-5967	227	4	bcs	bcs	NOUN
ejpam-5967	227	5	h	h	NOUN
ejpam-5967	227	6	(	(	PUNCT
ejpam-5967	227	7	0	0	NUM
ejpam-5967	227	8	,	,	PUNCT
ejpam-5967	227	9	χ	χ	NOUN
ejpam-5967	227	10	)	)	PUNCT
ejpam-5967	227	11	=	=	SYM
ejpam-5967	227	12	sinχ	sinχ	ADJ
ejpam-5967	227	13	,	,	PUNCT
ejpam-5967	227	14	hξ	hξ	X
ejpam-5967	227	15	(	(	PUNCT
ejpam-5967	227	16	0	0	NUM
ejpam-5967	227	17	,	,	PUNCT
ejpam-5967	227	18	χ	χ	NOUN
ejpam-5967	227	19	)	)	PUNCT
ejpam-5967	227	20	=	=	SYM
ejpam-5967	227	21	2	2	NUM
ejpam-5967	227	22	sinχ	sinχ	NOUN
ejpam-5967	227	23	.	.	PUNCT
ejpam-5967	228	1	solution	solution	NOUN
ejpam-5967	228	2	2	2	NUM
ejpam-5967	228	3	.	.	PUNCT
ejpam-5967	228	4	by	by	ADP
ejpam-5967	228	5	applying	apply	VERB
ejpam-5967	228	6	the	the	DET
ejpam-5967	228	7	single	single	ADJ
ejpam-5967	228	8	sumudu	sumudu	NOUN
ejpam-5967	228	9	transform	transform	NOUN
ejpam-5967	228	10	to	to	ADP
ejpam-5967	228	11	the	the	DET
ejpam-5967	228	12	ics	ic	NOUN
ejpam-5967	228	13	and	and	CCONJ
ejpam-5967	228	14	the	the	DET
ejpam-5967	228	15	single	single	ADJ
ejpam-5967	228	16	sawi	sawi	ADJ
ejpam-5967	228	17	transform	transform	NOUN
ejpam-5967	228	18	to	to	ADP
ejpam-5967	228	19	the	the	DET
ejpam-5967	228	20	bcs	bc	NOUN
ejpam-5967	228	21	,	,	PUNCT
ejpam-5967	228	22	we	we	PRON
ejpam-5967	228	23	get	get	VERB
ejpam-5967	228	24	g1	g1	PROPN
ejpam-5967	228	25	=	=	SYM
ejpam-5967	228	26	0	0	NUM
ejpam-5967	228	27	,	,	PUNCT
ejpam-5967	228	28	g2	g2	PROPN
ejpam-5967	228	29	=	=	PUNCT
ejpam-5967	228	30	1	1	NUM
ejpam-5967	228	31	1−2δ	1−2δ	NUM
ejpam-5967	228	32	,	,	PUNCT
ejpam-5967	228	33	f1	f1	NOUN
ejpam-5967	228	34	=	=	NOUN
ejpam-5967	228	35	1	1	NUM
ejpam-5967	228	36	1+ϵ2	1+ϵ2	NUM
ejpam-5967	228	37	,	,	PUNCT
ejpam-5967	228	38	f2	f2	PROPN
ejpam-5967	228	39	=	=	NOUN
ejpam-5967	228	40	1	1	NUM
ejpam-5967	228	41	1	1	NUM
ejpam-5967	228	42	+	+	NUM
ejpam-5967	228	43	4ϵ2	4ϵ2	NUM
ejpam-5967	228	44	.	.	PUNCT
ejpam-5967	229	1	substitute	substitute	NOUN
ejpam-5967	229	2	in	in	ADP
ejpam-5967	229	3	equation	equation	NOUN
ejpam-5967	229	4	(	(	PUNCT
ejpam-5967	229	5	21	21	NUM
ejpam-5967	229	6	)	)	PUNCT
ejpam-5967	229	7	a1	a1	NOUN
ejpam-5967	229	8	=	=	SYM
ejpam-5967	229	9	1	1	NUM
ejpam-5967	229	10	,	,	PUNCT
ejpam-5967	229	11	a3	a3	NOUN
ejpam-5967	229	12	=	=	SYM
ejpam-5967	229	13	−2	−2	NOUN
ejpam-5967	229	14	,	,	PUNCT
ejpam-5967	229	15	a4	a4	NOUN
ejpam-5967	229	16	=	=	SYM
ejpam-5967	229	17	−1	−1	NOUN
ejpam-5967	229	18	,	,	PUNCT
ejpam-5967	229	19	a6	a6	NOUN
ejpam-5967	229	20	=	=	SYM
ejpam-5967	229	21	−4	−4	PROPN
ejpam-5967	229	22	,	,	PUNCT
ejpam-5967	229	23	a2	a2	PROPN
ejpam-5967	229	24	=	=	SYM
ejpam-5967	229	25	a5	a5	PROPN
ejpam-5967	229	26	=	=	PUNCT
ejpam-5967	229	27	0	0	NUM
ejpam-5967	229	28	and	and	CCONJ
ejpam-5967	229	29	the	the	DET
ejpam-5967	229	30	values	value	NOUN
ejpam-5967	229	31	of	of	ADP
ejpam-5967	229	32	g1	g1	NOUN
ejpam-5967	229	33	,	,	PUNCT
ejpam-5967	229	34	g2	g2	PROPN
ejpam-5967	229	35	,	,	PUNCT
ejpam-5967	229	36	f1	f1	NOUN
ejpam-5967	229	37	and	and	CCONJ
ejpam-5967	229	38	f2	f2	PROPN
ejpam-5967	229	39	,	,	PUNCT
ejpam-5967	229	40	we	we	PRON
ejpam-5967	229	41	get	get	VERB
ejpam-5967	229	42	h(δ	h(δ	NOUN
ejpam-5967	229	43	,	,	PUNCT
ejpam-5967	229	44	ϵ	ϵ	X
ejpam-5967	229	45	)	)	PUNCT
ejpam-5967	229	46	=	=	SYM
ejpam-5967	229	47	(	(	PUNCT
ejpam-5967	229	48	1	1	NUM
ejpam-5967	229	49	δ2	δ2	ADJ
ejpam-5967	229	50	−	−	PROPN
ejpam-5967	229	51	1	1	NUM
ejpam-5967	229	52	δ	δ	NOUN
ejpam-5967	229	53	)	)	PUNCT
ejpam-5967	229	54	(	(	PUNCT
ejpam-5967	229	55	1	1	NUM
ejpam-5967	229	56	1+ϵ2	1+ϵ2	NUM
ejpam-5967	229	57	)	)	PUNCT
ejpam-5967	230	1	+	+	CCONJ
ejpam-5967	230	2	2	2	NUM
ejpam-5967	230	3	δ(1+ϵ2	δ(1+ϵ2	NOUN
ejpam-5967	230	4	)	)	PUNCT
ejpam-5967	230	5	−	−	PROPN
ejpam-5967	230	6	2	2	NUM
ejpam-5967	230	7	ϵ2(1−2δ	ϵ2(1−2δ	NOUN
ejpam-5967	230	8	)	)	PUNCT
ejpam-5967	230	9	1	1	NUM
ejpam-5967	230	10	δ2	δ2	VERB
ejpam-5967	230	11	−	−	NOUN
ejpam-5967	230	12	2	2	NUM
ejpam-5967	230	13	ϵ2	ϵ2	NOUN
ejpam-5967	230	14	−	−	PROPN
ejpam-5967	230	15	1	1	NUM
ejpam-5967	230	16	δ	δ	NOUN
ejpam-5967	230	17	−	−	PROPN
ejpam-5967	230	18	4	4	NUM
ejpam-5967	230	19	(	(	PUNCT
ejpam-5967	230	20	24	24	NUM
ejpam-5967	230	21	)	)	PUNCT
ejpam-5967	230	22	r.	r.	PROPN
ejpam-5967	230	23	abu	abu	PROPN
ejpam-5967	230	24	awwad	awwad	PROPN
ejpam-5967	230	25	et	et	PROPN
ejpam-5967	230	26	al	al	PROPN
ejpam-5967	230	27	.	.	PUNCT
ejpam-5967	230	28	/	/	SYM
ejpam-5967	230	29	eur	eur	PROPN
ejpam-5967	230	30	.	.	PUNCT
ejpam-5967	231	1	j.	j.	PROPN
ejpam-5967	231	2	pure	pure	PROPN
ejpam-5967	231	3	appl	appl	PROPN
ejpam-5967	231	4	.	.	PROPN
ejpam-5967	231	5	math	math	PROPN
ejpam-5967	231	6	,	,	PUNCT
ejpam-5967	231	7	18	18	NUM
ejpam-5967	231	8	(	(	PUNCT
ejpam-5967	231	9	2	2	NUM
ejpam-5967	231	10	)	)	PUNCT
ejpam-5967	231	11	(	(	PUNCT
ejpam-5967	231	12	2025	2025	NUM
ejpam-5967	231	13	)	)	PUNCT
ejpam-5967	231	14	,	,	PUNCT
ejpam-5967	231	15	5967	5967	NUM
ejpam-5967	231	16	12	12	NUM
ejpam-5967	231	17	of	of	ADP
ejpam-5967	231	18	17	17	NUM
ejpam-5967	231	19	=	=	SYM
ejpam-5967	231	20	ϵ2(1−δ)(1−2δ)+δϵ2(1−2δ)−2δ2(1+ϵ2	ϵ2(1−δ)(1−2δ)+δϵ2(1−2δ)−2δ2(1+ϵ2	NOUN
ejpam-5967	231	21	)	)	PUNCT
ejpam-5967	231	22	δ2ϵ2(1−2δ)(1+ϵ2	δ2ϵ2(1−2δ)(1+ϵ2	PROPN
ejpam-5967	231	23	)	)	PUNCT
ejpam-5967	231	24	ϵ2−2δ2−δϵ2−4δ2ϵ2	ϵ2−2δ2−δϵ2−4δ2ϵ2	PROPN
ejpam-5967	231	25	δ2ϵ2	δ2ϵ2	PROPN
ejpam-5967	231	26	.	.	PUNCT
ejpam-5967	232	1	by	by	ADP
ejpam-5967	232	2	simplify	simplify	NOUN
ejpam-5967	232	3	,	,	PUNCT
ejpam-5967	232	4	we	we	PRON
ejpam-5967	232	5	get	get	VERB
ejpam-5967	232	6	h(δ	h(δ	NOUN
ejpam-5967	232	7	,	,	PUNCT
ejpam-5967	232	8	ϵ	ϵ	X
ejpam-5967	232	9	)	)	PUNCT
ejpam-5967	232	10	=	=	SYM
ejpam-5967	232	11	1	1	NUM
ejpam-5967	232	12	(	(	PUNCT
ejpam-5967	232	13	1−	1−	NUM
ejpam-5967	232	14	2δ	2δ	NOUN
ejpam-5967	232	15	)	)	PUNCT
ejpam-5967	232	16	(	(	PUNCT
ejpam-5967	232	17	1	1	NUM
ejpam-5967	232	18	+	+	CCONJ
ejpam-5967	232	19	ϵ2	ϵ2	ADJ
ejpam-5967	232	20	)	)	PUNCT
ejpam-5967	232	21	.	.	PUNCT
ejpam-5967	233	1	so	so	ADV
ejpam-5967	233	2	,	,	PUNCT
ejpam-5967	233	3	h(ξ	h(ξ	PROPN
ejpam-5967	233	4	,	,	PUNCT
ejpam-5967	233	5	χ	χ	NOUN
ejpam-5967	233	6	)	)	PUNCT
ejpam-5967	233	7	=	=	PUNCT
ejpam-5967	234	1	s−1	s−1	NOUN
ejpam-5967	234	2	ξ	ξ	X
ejpam-5967	234	3	w−1	w−1	PROPN
ejpam-5967	234	4	χ	χ	X
ejpam-5967	234	5	(	(	PUNCT
ejpam-5967	234	6	1	1	NUM
ejpam-5967	234	7	(	(	PUNCT
ejpam-5967	234	8	1−	1−	NUM
ejpam-5967	234	9	2δ	2δ	NOUN
ejpam-5967	234	10	)	)	PUNCT
ejpam-5967	234	11	(	(	PUNCT
ejpam-5967	234	12	1	1	NUM
ejpam-5967	234	13	+	+	CCONJ
ejpam-5967	234	14	ϵ2	ϵ2	ADJ
ejpam-5967	234	15	)	)	PUNCT
ejpam-5967	234	16	)	)	PUNCT
ejpam-5967	235	1	=	=	PUNCT
ejpam-5967	235	2	e2ξ	e2ξ	VERB
ejpam-5967	235	3	sinχ	sinχ	ADJ
ejpam-5967	235	4	.	.	PUNCT
ejpam-5967	236	1	its	its	PRON
ejpam-5967	236	2	graph	graph	NOUN
ejpam-5967	236	3	is	be	AUX
ejpam-5967	236	4	figure	figure	NOUN
ejpam-5967	236	5	2	2	NUM
ejpam-5967	236	6	:	:	PUNCT
ejpam-5967	236	7	the	the	DET
ejpam-5967	236	8	solution	solution	NOUN
ejpam-5967	236	9	of	of	ADP
ejpam-5967	236	10	example	example	NOUN
ejpam-5967	236	11	4.2	4.2	NUM
ejpam-5967	236	12	4.2	4.2	NUM
ejpam-5967	236	13	.	.	PUNCT
ejpam-5967	237	1	ds	ds	PROPN
ejpam-5967	237	2	-	-	PUNCT
ejpam-5967	237	3	swt	swt	NOUN
ejpam-5967	237	4	for	for	ADP
ejpam-5967	237	5	solving	solve	VERB
ejpam-5967	237	6	integro	integro	PROPN
ejpam-5967	237	7	pdes	pde	NOUN
ejpam-5967	237	8	example	example	VERB
ejpam-5967	237	9	3	3	X
ejpam-5967	237	10	.	.	X
ejpam-5967	238	1	consider	consider	VERB
ejpam-5967	238	2	the	the	DET
ejpam-5967	238	3	equation	equation	NOUN
ejpam-5967	238	4	of	of	ADP
ejpam-5967	238	5	volterra	volterra	PROPN
ejpam-5967	238	6	integro	integro	PROPN
ejpam-5967	238	7	pde	pde	PROPN
ejpam-5967	238	8	.	.	PUNCT
ejpam-5967	239	1	hξ	hξ	X
ejpam-5967	240	1	+	+	NOUN
ejpam-5967	240	2	hχ	hχ	PROPN
ejpam-5967	240	3	−	−	PROPN
ejpam-5967	240	4	cosχ+	cosχ+	NOUN
ejpam-5967	241	1	ξ	ξ	X
ejpam-5967	241	2	sinχ+	sinχ+	NOUN
ejpam-5967	241	3	2ξ2	2ξ2	NUM
ejpam-5967	241	4	sinχ	sinχ	ADJ
ejpam-5967	241	5	=	=	NUM
ejpam-5967	241	6	4	4	NUM
ejpam-5967	241	7	ξ∫	ξ∫	NUM
ejpam-5967	241	8	0	0	NUM
ejpam-5967	241	9	χ∫	χ∫	NOUN
ejpam-5967	241	10	0	0	NUM
ejpam-5967	242	1	h(u	h(u	PROPN
ejpam-5967	242	2	,	,	PUNCT
ejpam-5967	242	3	v))dudv	v))dudv	ADV
ejpam-5967	242	4	,	,	PUNCT
ejpam-5967	242	5	where	where	SCONJ
ejpam-5967	242	6	ξ	ξ	X
ejpam-5967	242	7	,	,	PUNCT
ejpam-5967	242	8	χ	χ	PRON
ejpam-5967	242	9	≥	≥	NOUN
ejpam-5967	242	10	0	0	NUM
ejpam-5967	242	11	,	,	PUNCT
ejpam-5967	242	12	(	(	PUNCT
ejpam-5967	242	13	25	25	NUM
ejpam-5967	242	14	)	)	PUNCT
ejpam-5967	242	15	r.	r.	PROPN
ejpam-5967	242	16	abu	abu	PROPN
ejpam-5967	242	17	awwad	awwad	PROPN
ejpam-5967	242	18	et	et	PROPN
ejpam-5967	242	19	al	al	PROPN
ejpam-5967	242	20	.	.	PUNCT
ejpam-5967	242	21	/	/	SYM
ejpam-5967	242	22	eur	eur	PROPN
ejpam-5967	242	23	.	.	PUNCT
ejpam-5967	243	1	j.	j.	PROPN
ejpam-5967	243	2	pure	pure	PROPN
ejpam-5967	243	3	appl	appl	PROPN
ejpam-5967	243	4	.	.	PROPN
ejpam-5967	243	5	math	math	PROPN
ejpam-5967	243	6	,	,	PUNCT
ejpam-5967	243	7	18	18	NUM
ejpam-5967	243	8	(	(	PUNCT
ejpam-5967	243	9	2	2	NUM
ejpam-5967	243	10	)	)	PUNCT
ejpam-5967	243	11	(	(	PUNCT
ejpam-5967	243	12	2025	2025	NUM
ejpam-5967	243	13	)	)	PUNCT
ejpam-5967	243	14	,	,	PUNCT
ejpam-5967	243	15	5967	5967	NUM
ejpam-5967	243	16	13	13	NUM
ejpam-5967	243	17	of	of	ADP
ejpam-5967	243	18	17	17	NUM
ejpam-5967	243	19	with	with	ADP
ejpam-5967	243	20	ics	ics	NOUN
ejpam-5967	243	21	h(ξ	h(ξ	PROPN
ejpam-5967	243	22	,	,	PUNCT
ejpam-5967	243	23	0	0	NUM
ejpam-5967	243	24	)	)	PUNCT
ejpam-5967	243	25	=	=	SYM
ejpam-5967	243	26	ξ	ξ	PROPN
ejpam-5967	243	27	,	,	PUNCT
ejpam-5967	243	28	h(0	h(0	PROPN
ejpam-5967	243	29	,	,	PUNCT
ejpam-5967	243	30	χ	χ	X
ejpam-5967	243	31	)	)	PUNCT
ejpam-5967	243	32	=	=	SYM
ejpam-5967	243	33	0	0	X
ejpam-5967	243	34	.	.	PUNCT
ejpam-5967	243	35	solution	solution	NOUN
ejpam-5967	243	36	3	3	NUM
ejpam-5967	243	37	.	.	PUNCT
ejpam-5967	244	1	by	by	ADP
ejpam-5967	244	2	applying	apply	VERB
ejpam-5967	244	3	the	the	DET
ejpam-5967	244	4	single	single	ADJ
ejpam-5967	244	5	sumudu	sumudu	NOUN
ejpam-5967	244	6	transform	transform	NOUN
ejpam-5967	244	7	and	and	CCONJ
ejpam-5967	244	8	the	the	DET
ejpam-5967	244	9	single	single	ADJ
ejpam-5967	244	10	sawi	sawi	ADJ
ejpam-5967	244	11	transform	transform	NOUN
ejpam-5967	244	12	to	to	ADP
ejpam-5967	244	13	the	the	DET
ejpam-5967	244	14	ics	ic	NOUN
ejpam-5967	244	15	,	,	PUNCT
ejpam-5967	244	16	we	we	PRON
ejpam-5967	244	17	get	get	VERB
ejpam-5967	244	18	g1	g1	PROPN
ejpam-5967	244	19	=	=	SYM
ejpam-5967	244	20	δ	δ	PROPN
ejpam-5967	244	21	,	,	PUNCT
ejpam-5967	244	22	f1	f1	NOUN
ejpam-5967	244	23	=	=	NOUN
ejpam-5967	244	24	0	0	NUM
ejpam-5967	244	25	.	.	PUNCT
ejpam-5967	245	1	by	by	ADP
ejpam-5967	245	2	definition	definition	NOUN
ejpam-5967	245	3	4	4	NUM
ejpam-5967	245	4	and	and	CCONJ
ejpam-5967	245	5	theorem	theorem	VERB
ejpam-5967	245	6	2	2	NUM
ejpam-5967	245	7	,	,	PUNCT
ejpam-5967	245	8	we	we	PRON
ejpam-5967	245	9	have	have	VERB
ejpam-5967	245	10	ξ∫	ξ∫	NUM
ejpam-5967	245	11	0	0	NUM
ejpam-5967	245	12	χ∫	χ∫	NOUN
ejpam-5967	245	13	0	0	NUM
ejpam-5967	246	1	h(u	h(u	PROPN
ejpam-5967	246	2	,	,	PUNCT
ejpam-5967	246	3	v))dudv	v))dudv	NOUN
ejpam-5967	246	4	=	=	SYM
ejpam-5967	246	5	(	(	PUNCT
ejpam-5967	246	6	1	1	NUM
ejpam-5967	246	7	∗	∗	NOUN
ejpam-5967	246	8	∗h	∗h	NOUN
ejpam-5967	246	9	)	)	PUNCT
ejpam-5967	246	10	(	(	PUNCT
ejpam-5967	246	11	ξ	ξ	X
ejpam-5967	246	12	,	,	PUNCT
ejpam-5967	246	13	χ	χ	NOUN
ejpam-5967	246	14	)	)	PUNCT
ejpam-5967	246	15	.	.	PUNCT
ejpam-5967	247	1	(	(	PUNCT
ejpam-5967	247	2	26	26	NUM
ejpam-5967	247	3	)	)	PUNCT
ejpam-5967	247	4	apply	apply	VERB
ejpam-5967	247	5	the	the	DET
ejpam-5967	247	6	ds	ds	PROPN
ejpam-5967	247	7	-	-	PUNCT
ejpam-5967	247	8	swt	swt	NOUN
ejpam-5967	247	9	to	to	ADP
ejpam-5967	247	10	equation	equation	NOUN
ejpam-5967	247	11	26	26	NUM
ejpam-5967	247	12	,	,	PUNCT
ejpam-5967	247	13	we	we	PRON
ejpam-5967	247	14	get	get	VERB
ejpam-5967	247	15	1	1	NUM
ejpam-5967	247	16	δ	δ	NOUN
ejpam-5967	247	17	h(δ	h(δ	NOUN
ejpam-5967	247	18	,	,	PUNCT
ejpam-5967	247	19	ϵ	ϵ	X
ejpam-5967	247	20	)	)	PUNCT
ejpam-5967	248	1	+	+	CCONJ
ejpam-5967	248	2	1	1	NUM
ejpam-5967	248	3	ϵ	ϵ	X
ejpam-5967	248	4	h(δ	h(δ	NOUN
ejpam-5967	248	5	,	,	PUNCT
ejpam-5967	248	6	ϵ)−	ϵ)−	PROPN
ejpam-5967	248	7	δ	δ	PROPN
ejpam-5967	248	8	ϵ2	ϵ2	VERB
ejpam-5967	248	9	−	−	PROPN
ejpam-5967	248	10	1	1	NUM
ejpam-5967	248	11	ϵ	ϵ	NOUN
ejpam-5967	248	12	(	(	PUNCT
ejpam-5967	248	13	1	1	NUM
ejpam-5967	248	14	+	+	CCONJ
ejpam-5967	248	15	ϵ2	ϵ2	ADJ
ejpam-5967	248	16	)	)	PUNCT
ejpam-5967	249	1	+	+	CCONJ
ejpam-5967	249	2	δ	δ	PROPN
ejpam-5967	249	3	(	(	PUNCT
ejpam-5967	249	4	1	1	NUM
ejpam-5967	249	5	+	+	CCONJ
ejpam-5967	249	6	ϵ2	ϵ2	ADJ
ejpam-5967	249	7	)	)	PUNCT
ejpam-5967	249	8	+	+	NUM
ejpam-5967	249	9	4δ2	4δ2	NUM
ejpam-5967	249	10	(	(	PUNCT
ejpam-5967	249	11	1	1	NUM
ejpam-5967	249	12	+	+	CCONJ
ejpam-5967	249	13	ϵ2	ϵ2	ADJ
ejpam-5967	249	14	)	)	PUNCT
ejpam-5967	249	15	=	=	SYM
ejpam-5967	250	1	4δϵh(δ	4δϵh(δ	NUM
ejpam-5967	250	2	,	,	PUNCT
ejpam-5967	250	3	ϵ	ϵ	NOUN
ejpam-5967	250	4	)	)	PUNCT
ejpam-5967	250	5	.	.	PUNCT
ejpam-5967	251	1	so	so	ADV
ejpam-5967	251	2	,	,	PUNCT
ejpam-5967	251	3	ϵ+	ϵ+	PUNCT
ejpam-5967	251	4	δ	δ	PROPN
ejpam-5967	251	5	−	−	PROPN
ejpam-5967	251	6	4δ2ϵ2	4δ2ϵ2	PROPN
ejpam-5967	251	7	δϵ	δϵ	ADP
ejpam-5967	251	8	×h(δ	×h(δ	ADJ
ejpam-5967	251	9	,	,	PUNCT
ejpam-5967	251	10	ϵ	ϵ	X
ejpam-5967	251	11	)	)	PUNCT
ejpam-5967	251	12	=	=	SYM
ejpam-5967	251	13	δ	δ	PROPN
ejpam-5967	251	14	(	(	PUNCT
ejpam-5967	251	15	1	1	NUM
ejpam-5967	251	16	+	+	CCONJ
ejpam-5967	251	17	ϵ2	ϵ2	ADJ
ejpam-5967	251	18	)	)	PUNCT
ejpam-5967	252	1	+	+	CCONJ
ejpam-5967	252	2	ϵ−	ϵ−	NUM
ejpam-5967	252	3	δϵ2	δϵ2	NOUN
ejpam-5967	252	4	−	−	PROPN
ejpam-5967	252	5	4δ2ϵ2	4δ2ϵ2	PROPN
ejpam-5967	252	6	ϵ2	ϵ2	PROPN
ejpam-5967	252	7	(	(	PUNCT
ejpam-5967	252	8	1	1	NUM
ejpam-5967	252	9	+	+	CCONJ
ejpam-5967	252	10	ϵ2	ϵ2	ADJ
ejpam-5967	252	11	)	)	PUNCT
ejpam-5967	252	12	.	.	PUNCT
ejpam-5967	253	1	thus	thus	ADV
ejpam-5967	253	2	,	,	PUNCT
ejpam-5967	253	3	h(δ	h(δ	NOUN
ejpam-5967	253	4	,	,	PUNCT
ejpam-5967	253	5	ϵ	ϵ	X
ejpam-5967	253	6	)	)	PUNCT
ejpam-5967	253	7	=	=	SYM
ejpam-5967	253	8	δ	δ	PROPN
ejpam-5967	253	9	(	(	PUNCT
ejpam-5967	253	10	ϵ+	ϵ+	PUNCT
ejpam-5967	253	11	δ	δ	PROPN
ejpam-5967	253	12	−	−	PROPN
ejpam-5967	253	13	4δ2ϵ2	4δ2ϵ2	PROPN
ejpam-5967	253	14	)	)	PUNCT
ejpam-5967	254	1	ϵ	ϵ	X
ejpam-5967	254	2	(	(	PUNCT
ejpam-5967	254	3	1	1	NUM
ejpam-5967	254	4	+	+	CCONJ
ejpam-5967	254	5	ϵ2	ϵ2	ADJ
ejpam-5967	254	6	)	)	PUNCT
ejpam-5967	254	7	(	(	PUNCT
ejpam-5967	254	8	ϵ+	ϵ+	PUNCT
ejpam-5967	254	9	δ	δ	PROPN
ejpam-5967	254	10	−	−	PROPN
ejpam-5967	254	11	4δ2ϵ2	4δ2ϵ2	NUM
ejpam-5967	254	12	)	)	PUNCT
ejpam-5967	254	13	=	=	SYM
ejpam-5967	254	14	δ	δ	X
ejpam-5967	254	15	ϵ	ϵ	X
ejpam-5967	254	16	(	(	PUNCT
ejpam-5967	254	17	1	1	NUM
ejpam-5967	254	18	+	+	CCONJ
ejpam-5967	254	19	ϵ2	ϵ2	ADJ
ejpam-5967	254	20	)	)	PUNCT
ejpam-5967	254	21	.	.	PUNCT
ejpam-5967	255	1	therefore	therefore	ADV
ejpam-5967	255	2	,	,	PUNCT
ejpam-5967	255	3	h(ξ	h(ξ	PROPN
ejpam-5967	255	4	,	,	PUNCT
ejpam-5967	255	5	χ	χ	NOUN
ejpam-5967	255	6	)	)	PUNCT
ejpam-5967	255	7	=	=	PUNCT
ejpam-5967	256	1	s−1	s−1	NOUN
ejpam-5967	256	2	ξ	ξ	X
ejpam-5967	256	3	w−1	w−1	PROPN
ejpam-5967	256	4	χ	χ	X
ejpam-5967	256	5	(	(	PUNCT
ejpam-5967	256	6	δ	δ	PROPN
ejpam-5967	256	7	ϵ	ϵ	X
ejpam-5967	256	8	(	(	PUNCT
ejpam-5967	256	9	1	1	NUM
ejpam-5967	256	10	+	+	CCONJ
ejpam-5967	256	11	ϵ2	ϵ2	ADJ
ejpam-5967	256	12	)	)	PUNCT
ejpam-5967	256	13	)	)	PUNCT
ejpam-5967	257	1	=	=	PUNCT
ejpam-5967	257	2	ξ	ξ	PRON
ejpam-5967	257	3	cosχ	cosχ	NOUN
ejpam-5967	257	4	.	.	PUNCT
ejpam-5967	258	1	its	its	PRON
ejpam-5967	258	2	graph	graph	NOUN
ejpam-5967	258	3	is	be	AUX
ejpam-5967	258	4	r.	r.	PROPN
ejpam-5967	258	5	abu	abu	PROPN
ejpam-5967	258	6	awwad	awwad	PROPN
ejpam-5967	258	7	et	et	PROPN
ejpam-5967	258	8	al	al	PROPN
ejpam-5967	258	9	.	.	PUNCT
ejpam-5967	258	10	/	/	SYM
ejpam-5967	258	11	eur	eur	PROPN
ejpam-5967	258	12	.	.	PUNCT
ejpam-5967	259	1	j.	j.	PROPN
ejpam-5967	259	2	pure	pure	PROPN
ejpam-5967	259	3	appl	appl	PROPN
ejpam-5967	259	4	.	.	PROPN
ejpam-5967	259	5	math	math	PROPN
ejpam-5967	259	6	,	,	PUNCT
ejpam-5967	259	7	18	18	NUM
ejpam-5967	259	8	(	(	PUNCT
ejpam-5967	259	9	2	2	NUM
ejpam-5967	259	10	)	)	PUNCT
ejpam-5967	259	11	(	(	PUNCT
ejpam-5967	259	12	2025	2025	NUM
ejpam-5967	259	13	)	)	PUNCT
ejpam-5967	259	14	,	,	PUNCT
ejpam-5967	259	15	5967	5967	NUM
ejpam-5967	259	16	14	14	NUM
ejpam-5967	259	17	of	of	ADP
ejpam-5967	259	18	17	17	NUM
ejpam-5967	259	19	figure	figure	NOUN
ejpam-5967	259	20	3	3	NUM
ejpam-5967	259	21	:	:	PUNCT
ejpam-5967	259	22	the	the	DET
ejpam-5967	259	23	solution	solution	NOUN
ejpam-5967	259	24	of	of	ADP
ejpam-5967	259	25	example	example	NOUN
ejpam-5967	259	26	4.3	4.3	NUM
ejpam-5967	259	27	example	example	NOUN
ejpam-5967	259	28	4	4	NUM
ejpam-5967	259	29	.	.	PUNCT
ejpam-5967	259	30	consider	consider	VERB
ejpam-5967	259	31	the	the	DET
ejpam-5967	259	32	equation	equation	NOUN
ejpam-5967	259	33	of	of	ADP
ejpam-5967	259	34	integro	integro	PROPN
ejpam-5967	259	35	pde	pde	PROPN
ejpam-5967	259	36	.	.	PUNCT
ejpam-5967	260	1	hξχ	hξχ	PROPN
ejpam-5967	261	1	−	−	PROPN
ejpam-5967	261	2	2hχ	2hχ	ADJ
ejpam-5967	261	3	+	+	CCONJ
ejpam-5967	261	4	2eχ	2eχ	ADJ
ejpam-5967	261	5	sinh	sinh	NOUN
ejpam-5967	261	6	ξ	ξ	PROPN
ejpam-5967	262	1	−	−	PROPN
ejpam-5967	262	2	cosh	cosh	NOUN
ejpam-5967	262	3	ξ	ξ	X
ejpam-5967	262	4	−	−	NOUN
ejpam-5967	262	5	eχ	eχ	ADP
ejpam-5967	262	6	+	+	NOUN
ejpam-5967	262	7	1	1	NUM
ejpam-5967	262	8	=	=	SYM
ejpam-5967	262	9	ξ∫	ξ∫	NUM
ejpam-5967	262	10	0	0	NUM
ejpam-5967	262	11	χ∫	χ∫	NOUN
ejpam-5967	262	12	0	0	NUM
ejpam-5967	262	13	h(u	h(u	PROPN
ejpam-5967	262	14	,	,	PUNCT
ejpam-5967	262	15	v))dudv	v))dudv	ADV
ejpam-5967	262	16	,	,	PUNCT
ejpam-5967	262	17	where	where	SCONJ
ejpam-5967	262	18	ξ	ξ	X
ejpam-5967	262	19	,	,	PUNCT
ejpam-5967	262	20	χ	χ	PRON
ejpam-5967	262	21	≥	≥	NOUN
ejpam-5967	262	22	0	0	NUM
ejpam-5967	262	23	,	,	PUNCT
ejpam-5967	262	24	(	(	PUNCT
ejpam-5967	262	25	27	27	NUM
ejpam-5967	262	26	)	)	PUNCT
ejpam-5967	262	27	with	with	ADP
ejpam-5967	262	28	ics	ics	PROPN
ejpam-5967	262	29	h(ξ	h(ξ	PROPN
ejpam-5967	262	30	,	,	PUNCT
ejpam-5967	262	31	0	0	NUM
ejpam-5967	262	32	)	)	PUNCT
ejpam-5967	262	33	=	=	VERB
ejpam-5967	262	34	sinh	sinh	PROPN
ejpam-5967	262	35	ξ	ξ	PROPN
ejpam-5967	262	36	,	,	PUNCT
ejpam-5967	262	37	h(0	h(0	PROPN
ejpam-5967	262	38	,	,	PUNCT
ejpam-5967	262	39	χ	χ	X
ejpam-5967	262	40	)	)	PUNCT
ejpam-5967	262	41	=	=	SYM
ejpam-5967	262	42	0	0	NUM
ejpam-5967	262	43	solution	solution	NOUN
ejpam-5967	262	44	4	4	NUM
ejpam-5967	262	45	.	.	PUNCT
ejpam-5967	262	46	by	by	ADP
ejpam-5967	262	47	applying	apply	VERB
ejpam-5967	262	48	the	the	DET
ejpam-5967	262	49	single	single	ADJ
ejpam-5967	262	50	sumudu	sumudu	NOUN
ejpam-5967	262	51	transform	transform	NOUN
ejpam-5967	262	52	and	and	CCONJ
ejpam-5967	262	53	the	the	DET
ejpam-5967	262	54	single	single	ADJ
ejpam-5967	262	55	sawi	sawi	ADJ
ejpam-5967	262	56	transform	transform	NOUN
ejpam-5967	262	57	to	to	ADP
ejpam-5967	262	58	the	the	DET
ejpam-5967	262	59	ics	ic	NOUN
ejpam-5967	262	60	,	,	PUNCT
ejpam-5967	262	61	we	we	PRON
ejpam-5967	262	62	get	get	VERB
ejpam-5967	262	63	g1	g1	NOUN
ejpam-5967	262	64	=	=	SYM
ejpam-5967	262	65	δ	δ	PROPN
ejpam-5967	262	66	1−δ2	1−δ2	NUM
ejpam-5967	262	67	,	,	PUNCT
ejpam-5967	262	68	f1	f1	NOUN
ejpam-5967	262	69	=	=	SYM
ejpam-5967	262	70	0	0	NUM
ejpam-5967	262	71	apply	apply	VERB
ejpam-5967	262	72	the	the	DET
ejpam-5967	262	73	ds	ds	PROPN
ejpam-5967	262	74	-	-	PUNCT
ejpam-5967	262	75	swt	swt	NOUN
ejpam-5967	262	76	to	to	ADP
ejpam-5967	262	77	equation	equation	NOUN
ejpam-5967	262	78	27	27	NUM
ejpam-5967	262	79	,	,	PUNCT
ejpam-5967	262	80	we	we	PRON
ejpam-5967	262	81	get	get	VERB
ejpam-5967	262	82	1	1	NUM
ejpam-5967	262	83	δ	δ	NOUN
ejpam-5967	262	84	h(δ	h(δ	NOUN
ejpam-5967	262	85	,	,	PUNCT
ejpam-5967	262	86	ϵ)−	ϵ)−	NOUN
ejpam-5967	262	87	2	2	NUM
ejpam-5967	262	88	ϵ	ϵ	X
ejpam-5967	262	89	h(δ	h(δ	NOUN
ejpam-5967	262	90	,	,	PUNCT
ejpam-5967	262	91	ϵ	ϵ	X
ejpam-5967	262	92	)	)	PUNCT
ejpam-5967	263	1	+	+	NUM
ejpam-5967	263	2	2δ	2δ	NUM
ejpam-5967	263	3	ϵ2	ϵ2	PROPN
ejpam-5967	263	4	(	(	PUNCT
ejpam-5967	263	5	1−	1−	NUM
ejpam-5967	263	6	δ2	δ2	VERB
ejpam-5967	263	7	)	)	PUNCT
ejpam-5967	264	1	+	+	CCONJ
ejpam-5967	264	2	2δ	2δ	NUM
ejpam-5967	264	3	ϵ	ϵ	X
ejpam-5967	264	4	(	(	PUNCT
ejpam-5967	264	5	1−	1−	NUM
ejpam-5967	264	6	ϵ	ϵ	NOUN
ejpam-5967	264	7	)	)	PUNCT
ejpam-5967	264	8	(	(	PUNCT
ejpam-5967	264	9	1−	1−	NUM
ejpam-5967	264	10	δ2	δ2	ADJ
ejpam-5967	264	11	)	)	PUNCT
ejpam-5967	264	12	−	−	PROPN
ejpam-5967	264	13	1	1	NUM
ejpam-5967	264	14	ϵ	ϵ	X
ejpam-5967	264	15	(	(	PUNCT
ejpam-5967	264	16	1−	1−	NUM
ejpam-5967	264	17	δ2	δ2	ADJ
ejpam-5967	264	18	)	)	PUNCT
ejpam-5967	264	19	−	−	PROPN
ejpam-5967	264	20	1	1	NUM
ejpam-5967	264	21	ϵ	ϵ	X
ejpam-5967	264	22	(	(	PUNCT
ejpam-5967	264	23	1−	1−	NUM
ejpam-5967	264	24	ϵ	ϵ	NOUN
ejpam-5967	264	25	)	)	PUNCT
ejpam-5967	265	1	+	+	CCONJ
ejpam-5967	265	2	1	1	NUM
ejpam-5967	265	3	ϵ	ϵ	X
ejpam-5967	265	4	=	=	SYM
ejpam-5967	265	5	δϵh(δ	δϵh(δ	PROPN
ejpam-5967	265	6	,	,	PUNCT
ejpam-5967	265	7	ϵ	ϵ	NOUN
ejpam-5967	265	8	)	)	PUNCT
ejpam-5967	265	9	.	.	PUNCT
ejpam-5967	266	1	r.	r.	PROPN
ejpam-5967	266	2	abu	abu	PROPN
ejpam-5967	266	3	awwad	awwad	PROPN
ejpam-5967	266	4	et	et	PROPN
ejpam-5967	266	5	al	al	PROPN
ejpam-5967	266	6	.	.	PUNCT
ejpam-5967	266	7	/	/	SYM
ejpam-5967	266	8	eur	eur	PROPN
ejpam-5967	266	9	.	.	PUNCT
ejpam-5967	267	1	j.	j.	PROPN
ejpam-5967	267	2	pure	pure	PROPN
ejpam-5967	267	3	appl	appl	PROPN
ejpam-5967	267	4	.	.	PROPN
ejpam-5967	267	5	math	math	PROPN
ejpam-5967	267	6	,	,	PUNCT
ejpam-5967	267	7	18	18	NUM
ejpam-5967	267	8	(	(	PUNCT
ejpam-5967	267	9	2	2	NUM
ejpam-5967	267	10	)	)	PUNCT
ejpam-5967	267	11	(	(	PUNCT
ejpam-5967	267	12	2025	2025	NUM
ejpam-5967	267	13	)	)	PUNCT
ejpam-5967	267	14	,	,	PUNCT
ejpam-5967	267	15	5967	5967	NUM
ejpam-5967	267	16	15	15	NUM
ejpam-5967	267	17	of	of	ADP
ejpam-5967	267	18	17	17	NUM
ejpam-5967	267	19	so	so	ADV
ejpam-5967	267	20	,	,	PUNCT
ejpam-5967	267	21	ϵ−	ϵ−	NOUN
ejpam-5967	267	22	2δ	2δ	NUM
ejpam-5967	267	23	−	−	NUM
ejpam-5967	267	24	δ2ϵ2	δ2ϵ2	X
ejpam-5967	267	25	δϵ	δϵ	ADP
ejpam-5967	267	26	×h(δ	×h(δ	PROPN
ejpam-5967	267	27	,	,	PUNCT
ejpam-5967	267	28	ϵ	ϵ	X
ejpam-5967	267	29	)	)	PUNCT
ejpam-5967	267	30	=	=	SYM
ejpam-5967	267	31	−2δ	−2δ	X
ejpam-5967	267	32	(	(	PUNCT
ejpam-5967	268	1	1−	1−	NUM
ejpam-5967	268	2	ϵ)−	ϵ)−	NOUN
ejpam-5967	268	3	2δϵ+	2δϵ+	NUM
ejpam-5967	268	4	ϵ	ϵ	X
ejpam-5967	268	5	(	(	PUNCT
ejpam-5967	268	6	1−	1−	NUM
ejpam-5967	268	7	ϵ	ϵ	NOUN
ejpam-5967	268	8	)	)	PUNCT
ejpam-5967	269	1	+	+	CCONJ
ejpam-5967	269	2	ϵ	ϵ	X
ejpam-5967	269	3	(	(	PUNCT
ejpam-5967	269	4	1−	1−	NUM
ejpam-5967	269	5	δ2	δ2	ADJ
ejpam-5967	269	6	)	)	PUNCT
ejpam-5967	269	7	−	−	PROPN
ejpam-5967	270	1	ϵ	ϵ	X
ejpam-5967	270	2	(	(	PUNCT
ejpam-5967	270	3	1−	1−	NUM
ejpam-5967	270	4	ϵ	ϵ	NOUN
ejpam-5967	270	5	)	)	PUNCT
ejpam-5967	270	6	(	(	PUNCT
ejpam-5967	270	7	1−	1−	NUM
ejpam-5967	270	8	δ2	δ2	ADJ
ejpam-5967	270	9	)	)	PUNCT
ejpam-5967	270	10	ϵ2	ϵ2	PROPN
ejpam-5967	270	11	(	(	PUNCT
ejpam-5967	270	12	1−	1−	NUM
ejpam-5967	270	13	ϵ	ϵ	NOUN
ejpam-5967	270	14	)	)	PUNCT
ejpam-5967	270	15	(	(	PUNCT
ejpam-5967	270	16	1−	1−	NUM
ejpam-5967	270	17	δ2	δ2	VERB
ejpam-5967	270	18	)	)	PUNCT
ejpam-5967	270	19	thus	thus	ADV
ejpam-5967	270	20	,	,	PUNCT
ejpam-5967	270	21	h(δ	h(δ	NOUN
ejpam-5967	270	22	,	,	PUNCT
ejpam-5967	270	23	ϵ	ϵ	X
ejpam-5967	270	24	)	)	PUNCT
ejpam-5967	271	1	=	=	SYM
ejpam-5967	271	2	δ	δ	PROPN
ejpam-5967	271	3	(	(	PUNCT
ejpam-5967	271	4	ϵ−	ϵ−	X
ejpam-5967	271	5	2δ	2δ	NUM
ejpam-5967	271	6	−	−	PROPN
ejpam-5967	271	7	δ2ϵ2	δ2ϵ2	X
ejpam-5967	271	8	)	)	PUNCT
ejpam-5967	271	9	ϵ	ϵ	X
ejpam-5967	271	10	(	(	PUNCT
ejpam-5967	271	11	1−	1−	NUM
ejpam-5967	271	12	ϵ	ϵ	NOUN
ejpam-5967	271	13	)	)	PUNCT
ejpam-5967	271	14	(	(	PUNCT
ejpam-5967	271	15	1−	1−	NUM
ejpam-5967	271	16	δ2	δ2	VERB
ejpam-5967	271	17	)	)	PUNCT
ejpam-5967	271	18	(	(	PUNCT
ejpam-5967	271	19	ϵ−	ϵ−	X
ejpam-5967	271	20	2δ	2δ	NUM
ejpam-5967	271	21	−	−	NUM
ejpam-5967	271	22	δ2ϵ2	δ2ϵ2	X
ejpam-5967	271	23	)	)	PUNCT
ejpam-5967	271	24	=	=	SYM
ejpam-5967	271	25	δ	δ	X
ejpam-5967	271	26	ϵ	ϵ	X
ejpam-5967	271	27	(	(	PUNCT
ejpam-5967	271	28	1−	1−	NUM
ejpam-5967	271	29	ϵ	ϵ	NOUN
ejpam-5967	271	30	)	)	PUNCT
ejpam-5967	271	31	(	(	PUNCT
ejpam-5967	271	32	1−	1−	NUM
ejpam-5967	271	33	δ2	δ2	VERB
ejpam-5967	271	34	)	)	PUNCT
ejpam-5967	271	35	therefore	therefore	ADV
ejpam-5967	271	36	,	,	PUNCT
ejpam-5967	271	37	h(ξ	h(ξ	PROPN
ejpam-5967	271	38	,	,	PUNCT
ejpam-5967	271	39	χ	χ	NOUN
ejpam-5967	271	40	)	)	PUNCT
ejpam-5967	271	41	=	=	PUNCT
ejpam-5967	272	1	s−1	s−1	NOUN
ejpam-5967	272	2	ξ	ξ	X
ejpam-5967	272	3	w−1	w−1	PROPN
ejpam-5967	272	4	χ	χ	X
ejpam-5967	272	5	(	(	PUNCT
ejpam-5967	272	6	δ	δ	PROPN
ejpam-5967	272	7	ϵ	ϵ	X
ejpam-5967	272	8	(	(	PUNCT
ejpam-5967	272	9	1−	1−	NUM
ejpam-5967	272	10	ϵ	ϵ	NOUN
ejpam-5967	272	11	)	)	PUNCT
ejpam-5967	272	12	(	(	PUNCT
ejpam-5967	272	13	1−	1−	NUM
ejpam-5967	272	14	δ2	δ2	VERB
ejpam-5967	272	15	)	)	PUNCT
ejpam-5967	272	16	)	)	PUNCT
ejpam-5967	273	1	=	=	SYM
ejpam-5967	273	2	ξeχ	ξeχ	VERB
ejpam-5967	273	3	its	its	PRON
ejpam-5967	273	4	graph	graph	NOUN
ejpam-5967	273	5	is	be	AUX
ejpam-5967	273	6	figure	figure	NOUN
ejpam-5967	273	7	4	4	NUM
ejpam-5967	273	8	:	:	PUNCT
ejpam-5967	273	9	the	the	DET
ejpam-5967	273	10	solution	solution	NOUN
ejpam-5967	273	11	of	of	ADP
ejpam-5967	273	12	example	example	NOUN
ejpam-5967	273	13	4.4	4.4	NUM
ejpam-5967	273	14	r.	r.	PROPN
ejpam-5967	273	15	abu	abu	PROPN
ejpam-5967	273	16	awwad	awwad	PROPN
ejpam-5967	273	17	et	et	PROPN
ejpam-5967	273	18	al	al	PROPN
ejpam-5967	273	19	.	.	PUNCT
ejpam-5967	273	20	/	/	SYM
ejpam-5967	273	21	eur	eur	PROPN
ejpam-5967	273	22	.	.	PUNCT
ejpam-5967	274	1	j.	j.	PROPN
ejpam-5967	274	2	pure	pure	PROPN
ejpam-5967	274	3	appl	appl	PROPN
ejpam-5967	274	4	.	.	PROPN
ejpam-5967	274	5	math	math	PROPN
ejpam-5967	274	6	,	,	PUNCT
ejpam-5967	274	7	18	18	NUM
ejpam-5967	274	8	(	(	PUNCT
ejpam-5967	274	9	2	2	NUM
ejpam-5967	274	10	)	)	PUNCT
ejpam-5967	274	11	(	(	PUNCT
ejpam-5967	274	12	2025	2025	NUM
ejpam-5967	274	13	)	)	PUNCT
ejpam-5967	274	14	,	,	PUNCT
ejpam-5967	274	15	5967	5967	NUM
ejpam-5967	274	16	16	16	NUM
ejpam-5967	274	17	of	of	ADP
ejpam-5967	274	18	17	17	NUM
ejpam-5967	274	19	5	5	NUM
ejpam-5967	274	20	.	.	PUNCT
ejpam-5967	275	1	conclusion	conclusion	NOUN
ejpam-5967	275	2	in	in	ADP
ejpam-5967	275	3	this	this	DET
ejpam-5967	275	4	paper	paper	NOUN
ejpam-5967	275	5	,	,	PUNCT
ejpam-5967	275	6	we	we	PRON
ejpam-5967	275	7	introduce	introduce	VERB
ejpam-5967	275	8	the	the	DET
ejpam-5967	275	9	double	double	ADJ
ejpam-5967	275	10	sumudu	sumudu	NOUN
ejpam-5967	275	11	-	-	PUNCT
ejpam-5967	275	12	sawi	sawi	NOUN
ejpam-5967	275	13	transform	transform	NOUN
ejpam-5967	275	14	(	(	PUNCT
ejpam-5967	275	15	ds	ds	NOUN
ejpam-5967	275	16	-	-	PUNCT
ejpam-5967	275	17	swt	swt	NOUN
ejpam-5967	275	18	)	)	PUNCT
ejpam-5967	275	19	and	and	CCONJ
ejpam-5967	275	20	explore	explore	VERB
ejpam-5967	275	21	its	its	PRON
ejpam-5967	275	22	fundamental	fundamental	ADJ
ejpam-5967	275	23	properties	property	NOUN
ejpam-5967	275	24	,	,	PUNCT
ejpam-5967	275	25	shedding	shed	VERB
ejpam-5967	275	26	light	light	NOUN
ejpam-5967	275	27	on	on	ADP
ejpam-5967	275	28	the	the	DET
ejpam-5967	275	29	key	key	ADJ
ejpam-5967	275	30	features	feature	NOUN
ejpam-5967	275	31	that	that	PRON
ejpam-5967	275	32	define	define	VERB
ejpam-5967	275	33	this	this	DET
ejpam-5967	275	34	novel	novel	ADJ
ejpam-5967	275	35	double	double	ADJ
ejpam-5967	275	36	transform	transform	NOUN
ejpam-5967	275	37	.	.	PUNCT
ejpam-5967	276	1	several	several	ADJ
ejpam-5967	276	2	examples	example	NOUN
ejpam-5967	276	3	are	be	AUX
ejpam-5967	276	4	presented	present	VERB
ejpam-5967	276	5	to	to	PART
ejpam-5967	276	6	demonstrate	demonstrate	VERB
ejpam-5967	276	7	the	the	DET
ejpam-5967	276	8	successful	successful	ADJ
ejpam-5967	276	9	application	application	NOUN
ejpam-5967	276	10	of	of	ADP
ejpam-5967	276	11	the	the	DET
ejpam-5967	276	12	ds	ds	PROPN
ejpam-5967	276	13	-	-	PUNCT
ejpam-5967	276	14	swt	swt	PROPN
ejpam-5967	276	15	in	in	ADP
ejpam-5967	276	16	solving	solve	VERB
ejpam-5967	276	17	various	various	ADJ
ejpam-5967	276	18	partial	partial	ADJ
ejpam-5967	276	19	and	and	CCONJ
ejpam-5967	276	20	integral	integral	ADJ
ejpam-5967	276	21	equations	equation	NOUN
ejpam-5967	276	22	exactly	exactly	ADV
ejpam-5967	276	23	.	.	PUNCT
ejpam-5967	277	1	our	our	PRON
ejpam-5967	277	2	discussion	discussion	NOUN
ejpam-5967	277	3	is	be	AUX
ejpam-5967	277	4	grounded	ground	VERB
ejpam-5967	277	5	in	in	ADP
ejpam-5967	277	6	practical	practical	ADJ
ejpam-5967	277	7	applications	application	NOUN
ejpam-5967	277	8	,	,	PUNCT
ejpam-5967	277	9	where	where	SCONJ
ejpam-5967	277	10	,	,	PUNCT
ejpam-5967	277	11	where	where	SCONJ
ejpam-5967	277	12	appropriate	appropriate	ADJ
ejpam-5967	277	13	,	,	PUNCT
ejpam-5967	277	14	we	we	PRON
ejpam-5967	277	15	reference	reference	VERB
ejpam-5967	277	16	earlier	early	ADV
ejpam-5967	277	17	numerical	numerical	ADJ
ejpam-5967	277	18	procedures	procedure	NOUN
ejpam-5967	277	19	that	that	PRON
ejpam-5967	277	20	benefited	benefit	VERB
ejpam-5967	277	21	from	from	ADP
ejpam-5967	277	22	our	our	PRON
ejpam-5967	277	23	previous	previous	ADJ
ejpam-5967	277	24	research	research	NOUN
ejpam-5967	277	25	,	,	PUNCT
ejpam-5967	277	26	while	while	SCONJ
ejpam-5967	277	27	emphasizing	emphasize	VERB
ejpam-5967	277	28	the	the	DET
ejpam-5967	277	29	key	key	ADJ
ejpam-5967	277	30	advantages	advantage	NOUN
ejpam-5967	277	31	of	of	ADP
ejpam-5967	277	32	the	the	DET
ejpam-5967	277	33	ds	ds	PROPN
ejpam-5967	277	34	-	-	PUNCT
ejpam-5967	277	35	swt	swt	PROPN
ejpam-5967	277	36	in	in	ADP
ejpam-5967	277	37	solving	solve	VERB
ejpam-5967	277	38	complex	complex	ADJ
ejpam-5967	277	39	problems	problem	NOUN
ejpam-5967	277	40	.	.	PUNCT
ejpam-5967	278	1	we	we	PRON
ejpam-5967	278	2	believe	believe	VERB
ejpam-5967	278	3	that	that	SCONJ
ejpam-5967	278	4	the	the	DET
ejpam-5967	278	5	future	future	NOUN
ejpam-5967	278	6	of	of	ADP
ejpam-5967	278	7	the	the	DET
ejpam-5967	278	8	ds	ds	PROPN
ejpam-5967	278	9	-	-	PUNCT
ejpam-5967	278	10	swt	swt	PROPN
ejpam-5967	278	11	holds	hold	VERB
ejpam-5967	278	12	significant	significant	ADJ
ejpam-5967	278	13	promise	promise	NOUN
ejpam-5967	278	14	in	in	ADP
ejpam-5967	278	15	the	the	DET
ejpam-5967	278	16	realm	realm	NOUN
ejpam-5967	278	17	of	of	ADP
ejpam-5967	278	18	conformable	conformable	ADJ
ejpam-5967	278	19	partial	partial	ADJ
ejpam-5967	278	20	differential	differential	ADJ
ejpam-5967	278	21	equations	equation	NOUN
ejpam-5967	278	22	and	and	CCONJ
ejpam-5967	278	23	integro	integro	NOUN
ejpam-5967	278	24	-	-	PUNCT
ejpam-5967	278	25	pdes	pde	NOUN
ejpam-5967	278	26	,	,	PUNCT
ejpam-5967	278	27	particularly	particularly	ADV
ejpam-5967	278	28	those	those	PRON
ejpam-5967	278	29	with	with	ADP
ejpam-5967	278	30	varying	vary	VERB
ejpam-5967	278	31	coefficients	coefficient	NOUN
ejpam-5967	278	32	.	.	PUNCT
ejpam-5967	279	1	additional	additional	ADJ
ejpam-5967	279	2	results	result	NOUN
ejpam-5967	279	3	related	relate	VERB
ejpam-5967	279	4	to	to	ADP
ejpam-5967	279	5	conformable	conformable	ADJ
ejpam-5967	279	6	pdes	pde	NOUN
ejpam-5967	279	7	and	and	CCONJ
ejpam-5967	279	8	integro	integro	ADJ
ejpam-5967	279	9	pdes	pde	NOUN
ejpam-5967	279	10	are	be	AUX
ejpam-5967	279	11	available	available	ADJ
ejpam-5967	279	12	in	in	ADP
ejpam-5967	279	13	references	reference	NOUN
ejpam-5967	279	14	[	[	X
ejpam-5967	279	15	10	10	NUM
ejpam-5967	279	16	,	,	PUNCT
ejpam-5967	279	17	11	11	NUM
ejpam-5967	279	18	]	]	PUNCT
ejpam-5967	279	19	.	.	PUNCT
ejpam-5967	280	1	author	author	NOUN
ejpam-5967	280	2	contribution	contribution	NOUN
ejpam-5967	280	3	statement	statement	NOUN
ejpam-5967	280	4	all	all	DET
ejpam-5967	280	5	authors	author	NOUN
ejpam-5967	280	6	listed	list	VERB
ejpam-5967	280	7	have	have	AUX
ejpam-5967	280	8	significantly	significantly	ADV
ejpam-5967	280	9	contributed	contribute	VERB
ejpam-5967	280	10	to	to	ADP
ejpam-5967	280	11	the	the	DET
ejpam-5967	280	12	development	development	NOUN
ejpam-5967	280	13	and	and	CCONJ
ejpam-5967	280	14	the	the	DET
ejpam-5967	280	15	writing	writing	NOUN
ejpam-5967	280	16	of	of	ADP
ejpam-5967	280	17	this	this	DET
ejpam-5967	280	18	article	article	NOUN
ejpam-5967	280	19	.	.	PUNCT
ejpam-5967	281	1	data	datum	NOUN
ejpam-5967	281	2	availability	availability	NOUN
ejpam-5967	281	3	statement	statement	NOUN
ejpam-5967	281	4	no	no	DET
ejpam-5967	281	5	data	datum	NOUN
ejpam-5967	281	6	was	be	AUX
ejpam-5967	281	7	used	use	VERB
ejpam-5967	281	8	for	for	ADP
ejpam-5967	281	9	the	the	DET
ejpam-5967	281	10	research	research	NOUN
ejpam-5967	281	11	described	describe	VERB
ejpam-5967	281	12	in	in	ADP
ejpam-5967	281	13	the	the	DET
ejpam-5967	281	14	article	article	NOUN
ejpam-5967	281	15	.	.	PUNCT
ejpam-5967	282	1	conflict	conflict	NOUN
ejpam-5967	282	2	of	of	ADP
ejpam-5967	282	3	interest	interest	NOUN
ejpam-5967	282	4	the	the	DET
ejpam-5967	282	5	authors	author	NOUN
ejpam-5967	282	6	declare	declare	VERB
ejpam-5967	282	7	that	that	SCONJ
ejpam-5967	282	8	they	they	PRON
ejpam-5967	282	9	have	have	VERB
ejpam-5967	282	10	no	no	DET
ejpam-5967	282	11	conflict	conflict	NOUN
ejpam-5967	282	12	of	of	ADP
ejpam-5967	282	13	interest	interest	NOUN
ejpam-5967	282	14	.	.	PUNCT
ejpam-5967	283	1	references	reference	NOUN
ejpam-5967	283	2	[	[	X
ejpam-5967	283	3	1	1	NUM
ejpam-5967	283	4	]	]	PUNCT
ejpam-5967	283	5	g.	g.	PROPN
ejpam-5967	283	6	k.	k.	PROPN
ejpam-5967	283	7	watugala	watugala	PROPN
ejpam-5967	283	8	.	.	PUNCT
ejpam-5967	284	1	sumudu	sumudu	NOUN
ejpam-5967	284	2	transform	transform	NOUN
ejpam-5967	284	3	:	:	PUNCT
ejpam-5967	284	4	a	a	DET
ejpam-5967	284	5	new	new	ADJ
ejpam-5967	284	6	integral	integral	ADJ
ejpam-5967	284	7	transform	transform	NOUN
ejpam-5967	284	8	to	to	PART
ejpam-5967	284	9	solve	solve	VERB
ejpam-5967	284	10	differential	differential	ADJ
ejpam-5967	284	11	equations	equation	NOUN
ejpam-5967	284	12	and	and	CCONJ
ejpam-5967	284	13	control	control	NOUN
ejpam-5967	284	14	engineering	engineering	NOUN
ejpam-5967	284	15	problems	problem	NOUN
ejpam-5967	284	16	.	.	PUNCT
ejpam-5967	285	1	international	international	ADJ
ejpam-5967	285	2	journal	journal	PROPN
ejpam-5967	285	3	of	of	ADP
ejpam-5967	285	4	mathematical	mathematical	ADJ
ejpam-5967	285	5	education	education	NOUN
ejpam-5967	285	6	in	in	ADP
ejpam-5967	285	7	science	science	NOUN
ejpam-5967	285	8	and	and	CCONJ
ejpam-5967	285	9	technology	technology	NOUN
ejpam-5967	285	10	,	,	PUNCT
ejpam-5967	285	11	24(1):35–43	24(1):35–43	NUM
ejpam-5967	285	12	,	,	PUNCT
ejpam-5967	285	13	1993	1993	NUM
ejpam-5967	285	14	.	.	PUNCT
ejpam-5967	286	1	[	[	X
ejpam-5967	286	2	2	2	NUM
ejpam-5967	286	3	]	]	PUNCT
ejpam-5967	286	4	m.	m.	NOUN
ejpam-5967	286	5	m.	m.	PROPN
ejpam-5967	286	6	a.	a.	PROPN
ejpam-5967	286	7	mahgoub	mahgoub	PROPN
ejpam-5967	286	8	and	and	CCONJ
ejpam-5967	286	9	m.	m.	NOUN
ejpam-5967	286	10	mohand	mohand	NOUN
ejpam-5967	286	11	.	.	PUNCT
ejpam-5967	287	1	the	the	DET
ejpam-5967	287	2	new	new	ADJ
ejpam-5967	287	3	integral	integral	ADJ
ejpam-5967	287	4	transform	transform	NOUN
ejpam-5967	287	5	sawi	sawi	ADJ
ejpam-5967	287	6	transform	transform	NOUN
ejpam-5967	287	7	.	.	PUNCT
ejpam-5967	288	1	advances	advance	NOUN
ejpam-5967	288	2	in	in	ADP
ejpam-5967	288	3	theoretical	theoretical	ADJ
ejpam-5967	288	4	and	and	CCONJ
ejpam-5967	288	5	applied	apply	VERB
ejpam-5967	288	6	mathematics	mathematic	NOUN
ejpam-5967	288	7	,	,	PUNCT
ejpam-5967	288	8	14(1):81–87	14(1):81–87	NUM
ejpam-5967	288	9	,	,	PUNCT
ejpam-5967	288	10	2019	2019	NUM
ejpam-5967	288	11	.	.	PUNCT
ejpam-5967	289	1	[	[	X
ejpam-5967	289	2	3	3	NUM
ejpam-5967	289	3	]	]	PUNCT
ejpam-5967	289	4	a.	a.	NOUN
ejpam-5967	289	5	aghili	aghili	PROPN
ejpam-5967	289	6	and	and	CCONJ
ejpam-5967	289	7	b.	b.	PROPN
ejpam-5967	289	8	parsa	parsa	PROPN
ejpam-5967	289	9	moghaddam	moghaddam	NOUN
ejpam-5967	289	10	.	.	PUNCT
ejpam-5967	290	1	certain	certain	ADJ
ejpam-5967	290	2	theorems	theorem	NOUN
ejpam-5967	290	3	on	on	ADP
ejpam-5967	290	4	two	two	NUM
ejpam-5967	290	5	dimensional	dimensional	ADJ
ejpam-5967	290	6	laplace	laplace	NOUN
ejpam-5967	290	7	transform	transform	NOUN
ejpam-5967	290	8	and	and	CCONJ
ejpam-5967	290	9	non	non	ADJ
ejpam-5967	290	10	-	-	ADJ
ejpam-5967	290	11	homogeneous	homogeneous	ADJ
ejpam-5967	290	12	parabolic	parabolic	ADJ
ejpam-5967	290	13	partial	partial	ADJ
ejpam-5967	290	14	differential	differential	NOUN
ejpam-5967	290	15	equations	equation	NOUN
ejpam-5967	290	16	.	.	PUNCT
ejpam-5967	291	1	surveys	survey	NOUN
ejpam-5967	291	2	in	in	ADP
ejpam-5967	291	3	mathematics	mathematic	NOUN
ejpam-5967	291	4	and	and	CCONJ
ejpam-5967	291	5	its	its	PRON
ejpam-5967	291	6	applications	application	NOUN
ejpam-5967	291	7	,	,	PUNCT
ejpam-5967	291	8	6:165–174	6:165–174	NUM
ejpam-5967	291	9	,	,	PUNCT
ejpam-5967	291	10	2011	2011	NUM
ejpam-5967	291	11	.	.	PUNCT
ejpam-5967	292	1	[	[	X
ejpam-5967	292	2	4	4	X
ejpam-5967	292	3	]	]	PUNCT
ejpam-5967	292	4	b.	b.	PROPN
ejpam-5967	292	5	abughazaleh	abughazaleh	PROPN
ejpam-5967	292	6	,	,	PUNCT
ejpam-5967	292	7	m.	m.	NOUN
ejpam-5967	292	8	a.	a.	PROPN
ejpam-5967	292	9	amleh	amleh	PROPN
ejpam-5967	292	10	,	,	PUNCT
ejpam-5967	292	11	a.	a.	PROPN
ejpam-5967	292	12	al	al	PROPN
ejpam-5967	292	13	-	-	PUNCT
ejpam-5967	292	14	natoor	natoor	NOUN
ejpam-5967	292	15	,	,	PUNCT
ejpam-5967	292	16	and	and	CCONJ
ejpam-5967	292	17	r.	r.	PROPN
ejpam-5967	292	18	saadeh	saadeh	PROPN
ejpam-5967	292	19	.	.	PUNCT
ejpam-5967	293	1	double	double	ADJ
ejpam-5967	293	2	mellin	mellin	PROPN
ejpam-5967	293	3	-	-	PUNCT
ejpam-5967	293	4	ara	ara	NOUN
ejpam-5967	293	5	transform	transform	NOUN
ejpam-5967	293	6	.	.	PUNCT
ejpam-5967	294	1	in	in	ADP
ejpam-5967	294	2	springer	springer	NOUN
ejpam-5967	294	3	proceedings	proceeding	NOUN
ejpam-5967	294	4	in	in	ADP
ejpam-5967	294	5	mathematics	mathematic	NOUN
ejpam-5967	294	6	and	and	CCONJ
ejpam-5967	294	7	statistics	statistic	NOUN
ejpam-5967	294	8	,	,	PUNCT
ejpam-5967	294	9	volume	volume	NOUN
ejpam-5967	294	10	466	466	NUM
ejpam-5967	294	11	,	,	PUNCT
ejpam-5967	294	12	pages	page	NOUN
ejpam-5967	294	13	383–394	383–394	NUM
ejpam-5967	294	14	.	.	PUNCT
ejpam-5967	294	15	springer	springer	NOUN
ejpam-5967	294	16	,	,	PUNCT
ejpam-5967	294	17	2024	2024	NUM
ejpam-5967	294	18	.	.	PUNCT
ejpam-5967	295	1	[	[	X
ejpam-5967	295	2	5	5	X
ejpam-5967	295	3	]	]	PUNCT
ejpam-5967	295	4	j.	j.	PROPN
ejpam-5967	295	5	a.	a.	PROPN
ejpam-5967	295	6	ganie	ganie	PROPN
ejpam-5967	295	7	,	,	PUNCT
ejpam-5967	295	8	a.	a.	NOUN
ejpam-5967	295	9	ahmad	ahmad	PROPN
ejpam-5967	295	10	,	,	PUNCT
ejpam-5967	295	11	and	and	CCONJ
ejpam-5967	295	12	r.	r.	PROPN
ejpam-5967	295	13	jain	jain	PROPN
ejpam-5967	295	14	.	.	PUNCT
ejpam-5967	296	1	basic	basic	ADJ
ejpam-5967	296	2	analogue	analogue	NOUN
ejpam-5967	296	3	of	of	ADP
ejpam-5967	296	4	double	double	ADJ
ejpam-5967	296	5	sumudu	sumudu	NOUN
ejpam-5967	296	6	transform	transform	NOUN
ejpam-5967	296	7	and	and	CCONJ
ejpam-5967	296	8	its	its	PRON
ejpam-5967	296	9	applicability	applicability	NOUN
ejpam-5967	296	10	in	in	ADP
ejpam-5967	296	11	population	population	NOUN
ejpam-5967	296	12	dynamics	dynamic	NOUN
ejpam-5967	296	13	.	.	PUNCT
ejpam-5967	297	1	asian	asian	ADJ
ejpam-5967	297	2	journal	journal	PROPN
ejpam-5967	297	3	of	of	ADP
ejpam-5967	297	4	mathematics	mathematic	NOUN
ejpam-5967	297	5	and	and	CCONJ
ejpam-5967	297	6	statistics	statistic	NOUN
ejpam-5967	297	7	,	,	PUNCT
ejpam-5967	297	8	11:12–17	11:12–17	NUM
ejpam-5967	297	9	,	,	PUNCT
ejpam-5967	297	10	2018	2018	NUM
ejpam-5967	297	11	.	.	PUNCT
ejpam-5967	298	1	[	[	X
ejpam-5967	298	2	6	6	NUM
ejpam-5967	298	3	]	]	PUNCT
ejpam-5967	298	4	m.	m.	NOUN
ejpam-5967	298	5	al	al	PROPN
ejpam-5967	298	6	-	-	PUNCT
ejpam-5967	298	7	momani	momani	PROPN
ejpam-5967	298	8	,	,	PUNCT
ejpam-5967	298	9	a.	a.	PROPN
ejpam-5967	298	10	jaradat	jaradat	PROPN
ejpam-5967	298	11	,	,	PUNCT
ejpam-5967	298	12	b.	b.	PROPN
ejpam-5967	298	13	abughazaleh	abughazaleh	PROPN
ejpam-5967	298	14	,	,	PUNCT
ejpam-5967	298	15	and	and	CCONJ
ejpam-5967	298	16	a.	a.	PROPN
ejpam-5967	298	17	farah	farah	PROPN
ejpam-5967	298	18	.	.	PUNCT
ejpam-5967	299	1	solving	solve	VERB
ejpam-5967	299	2	partial	partial	ADJ
ejpam-5967	299	3	differential	differential	ADJ
ejpam-5967	299	4	equations	equation	NOUN
ejpam-5967	299	5	via	via	ADP
ejpam-5967	299	6	the	the	DET
ejpam-5967	299	7	double	double	ADJ
ejpam-5967	299	8	sumudu	sumudu	NOUN
ejpam-5967	299	9	-	-	PUNCT
ejpam-5967	299	10	shehu	shehu	NOUN
ejpam-5967	299	11	transform	transform	NOUN
ejpam-5967	299	12	.	.	PUNCT
ejpam-5967	300	1	european	european	PROPN
ejpam-5967	300	2	journal	journal	PROPN
ejpam-5967	300	3	of	of	ADP
ejpam-5967	300	4	pure	pure	ADJ
ejpam-5967	300	5	and	and	CCONJ
ejpam-5967	300	6	applied	applied	ADJ
ejpam-5967	300	7	mathematics	mathematic	NOUN
ejpam-5967	300	8	,	,	PUNCT
ejpam-5967	300	9	18(2):5898–5915	18(2):5898–5915	NUM
ejpam-5967	300	10	,	,	PUNCT
ejpam-5967	300	11	2025	2025	NUM
ejpam-5967	300	12	.	.	PUNCT
ejpam-5967	301	1	r.	r.	PROPN
ejpam-5967	301	2	abu	abu	PROPN
ejpam-5967	301	3	awwad	awwad	PROPN
ejpam-5967	301	4	et	et	PROPN
ejpam-5967	301	5	al	al	PROPN
ejpam-5967	301	6	.	.	PUNCT
ejpam-5967	301	7	/	/	SYM
ejpam-5967	301	8	eur	eur	PROPN
ejpam-5967	301	9	.	.	PUNCT
ejpam-5967	302	1	j.	j.	PROPN
ejpam-5967	302	2	pure	pure	PROPN
ejpam-5967	302	3	appl	appl	PROPN
ejpam-5967	302	4	.	.	PROPN
ejpam-5967	302	5	math	math	PROPN
ejpam-5967	302	6	,	,	PUNCT
ejpam-5967	302	7	18	18	NUM
ejpam-5967	302	8	(	(	PUNCT
ejpam-5967	302	9	2	2	NUM
ejpam-5967	302	10	)	)	PUNCT
ejpam-5967	302	11	(	(	PUNCT
ejpam-5967	302	12	2025	2025	NUM
ejpam-5967	302	13	)	)	PUNCT
ejpam-5967	302	14	,	,	PUNCT
ejpam-5967	302	15	5967	5967	NUM
ejpam-5967	302	16	17	17	NUM
ejpam-5967	302	17	of	of	ADP
ejpam-5967	302	18	17	17	NUM
ejpam-5967	302	19	[	[	SYM
ejpam-5967	302	20	7	7	NUM
ejpam-5967	302	21	]	]	PUNCT
ejpam-5967	302	22	m.	m.	NOUN
ejpam-5967	302	23	al	al	PROPN
ejpam-5967	302	24	-	-	PUNCT
ejpam-5967	302	25	momani	momani	PROPN
ejpam-5967	302	26	,	,	PUNCT
ejpam-5967	302	27	a.	a.	NOUN
ejpam-5967	302	28	jaradat	jaradat	PROPN
ejpam-5967	302	29	,	,	PUNCT
ejpam-5967	302	30	and	and	CCONJ
ejpam-5967	302	31	b.	b.	PROPN
ejpam-5967	302	32	abughazaleh	abughazaleh	PROPN
ejpam-5967	302	33	.	.	PUNCT
ejpam-5967	303	1	double	double	ADJ
ejpam-5967	303	2	laplace	laplace	NOUN
ejpam-5967	303	3	-	-	PUNCT
ejpam-5967	303	4	sawi	sawi	NOUN
ejpam-5967	303	5	transform	transform	NOUN
ejpam-5967	303	6	.	.	PUNCT
ejpam-5967	304	1	european	european	PROPN
ejpam-5967	304	2	journal	journal	PROPN
ejpam-5967	304	3	of	of	ADP
ejpam-5967	304	4	pure	pure	ADJ
ejpam-5967	304	5	and	and	CCONJ
ejpam-5967	304	6	applied	applied	ADJ
ejpam-5967	304	7	mathematics	mathematic	NOUN
ejpam-5967	304	8	,	,	PUNCT
ejpam-5967	304	9	18(1):5619–5636	18(1):5619–5636	NUM
ejpam-5967	304	10	,	,	PUNCT
ejpam-5967	304	11	2025	2025	NUM
ejpam-5967	304	12	.	.	PUNCT
ejpam-5967	305	1	[	[	X
ejpam-5967	305	2	8	8	NUM
ejpam-5967	305	3	]	]	X
ejpam-5967	305	4	s.	s.	PROPN
ejpam-5967	305	5	khan	khan	PROPN
ejpam-5967	305	6	,	,	PUNCT
ejpam-5967	305	7	a.	a.	PROPN
ejpam-5967	305	8	ullah	ullah	PROPN
ejpam-5967	305	9	,	,	PUNCT
ejpam-5967	305	10	m.	m.	PROPN
ejpam-5967	305	11	de	de	PROPN
ejpam-5967	305	12	la	la	X
ejpam-5967	305	13	sen	sen	PROPN
ejpam-5967	305	14	,	,	PUNCT
ejpam-5967	305	15	and	and	CCONJ
ejpam-5967	305	16	s.	s.	PROPN
ejpam-5967	305	17	ahmad	ahmad	PROPN
ejpam-5967	305	18	.	.	PROPN
ejpam-5967	305	19	double	double	ADJ
ejpam-5967	305	20	sawi	sawi	PROPN
ejpam-5967	305	21	transform	transform	NOUN
ejpam-5967	305	22	:	:	PUNCT
ejpam-5967	305	23	theory	theory	NOUN
ejpam-5967	305	24	and	and	CCONJ
ejpam-5967	305	25	applications	application	NOUN
ejpam-5967	305	26	to	to	ADP
ejpam-5967	305	27	boundary	boundary	ADJ
ejpam-5967	305	28	value	value	NOUN
ejpam-5967	305	29	problems	problem	NOUN
ejpam-5967	305	30	.	.	PUNCT
ejpam-5967	306	1	symmetry	symmetry	NOUN
ejpam-5967	306	2	,	,	PUNCT
ejpam-5967	306	3	15(4):921	15(4):921	NUM
ejpam-5967	306	4	,	,	PUNCT
ejpam-5967	306	5	2023	2023	NUM
ejpam-5967	306	6	.	.	PUNCT
ejpam-5967	307	1	[	[	X
ejpam-5967	307	2	9	9	NUM
ejpam-5967	307	3	]	]	SYM
ejpam-5967	307	4	r.	r.	PROPN
ejpam-5967	307	5	abu	abu	PROPN
ejpam-5967	307	6	awwad	awwad	PROPN
ejpam-5967	307	7	,	,	PUNCT
ejpam-5967	307	8	m.	m.	NOUN
ejpam-5967	307	9	al	al	PROPN
ejpam-5967	307	10	-	-	PUNCT
ejpam-5967	307	11	momani	momani	PROPN
ejpam-5967	307	12	,	,	PUNCT
ejpam-5967	307	13	a.	a.	PROPN
ejpam-5967	307	14	jaradat	jaradat	PROPN
ejpam-5967	307	15	,	,	PUNCT
ejpam-5967	307	16	b.	b.	PROPN
ejpam-5967	307	17	abughazaleh	abughazaleh	PROPN
ejpam-5967	307	18	,	,	PUNCT
ejpam-5967	307	19	and	and	CCONJ
ejpam-5967	307	20	a.	a.	PROPN
ejpam-5967	307	21	al	al	PROPN
ejpam-5967	307	22	-	-	PUNCT
ejpam-5967	307	23	natoor	natoor	NOUN
ejpam-5967	307	24	.	.	PUNCT
ejpam-5967	308	1	the	the	DET
ejpam-5967	308	2	double	double	ADJ
ejpam-5967	308	3	ara	ara	NOUN
ejpam-5967	308	4	-	-	PUNCT
ejpam-5967	308	5	sawi	sawi	NOUN
ejpam-5967	308	6	transform	transform	NOUN
ejpam-5967	308	7	.	.	PUNCT
ejpam-5967	309	1	european	european	PROPN
ejpam-5967	309	2	journal	journal	PROPN
ejpam-5967	309	3	of	of	ADP
ejpam-5967	309	4	pure	pure	ADJ
ejpam-5967	309	5	and	and	CCONJ
ejpam-5967	309	6	applied	applied	ADJ
ejpam-5967	309	7	mathematics	mathematic	NOUN
ejpam-5967	309	8	,	,	PUNCT
ejpam-5967	309	9	18(1):5807–5824	18(1):5807–5824	NUM
ejpam-5967	309	10	,	,	PUNCT
ejpam-5967	309	11	2025	2025	NUM
ejpam-5967	309	12	.	.	PUNCT
ejpam-5967	310	1	[	[	X
ejpam-5967	310	2	10	10	NUM
ejpam-5967	310	3	]	]	X
ejpam-5967	310	4	m.	m.	NOUN
ejpam-5967	310	5	a.	a.	PROPN
ejpam-5967	310	6	amleh	amleh	PROPN
ejpam-5967	310	7	,	,	PUNCT
ejpam-5967	310	8	b.	b.	PROPN
ejpam-5967	310	9	abughazaleh	abughazaleh	PROPN
ejpam-5967	310	10	,	,	PUNCT
ejpam-5967	310	11	and	and	CCONJ
ejpam-5967	310	12	a.	a.	PROPN
ejpam-5967	310	13	al	al	PROPN
ejpam-5967	310	14	-	-	PUNCT
ejpam-5967	310	15	natoor	natoor	NOUN
ejpam-5967	310	16	.	.	PUNCT
ejpam-5967	311	1	conformable	conformable	ADJ
ejpam-5967	311	2	fractional	fractional	ADJ
ejpam-5967	311	3	lomax	lomax	PROPN
ejpam-5967	311	4	probability	probability	NOUN
ejpam-5967	311	5	distribution	distribution	NOUN
ejpam-5967	311	6	.	.	PUNCT
ejpam-5967	312	1	journal	journal	NOUN
ejpam-5967	312	2	of	of	ADP
ejpam-5967	312	3	mathematical	mathematical	ADJ
ejpam-5967	312	4	and	and	CCONJ
ejpam-5967	312	5	computational	computational	ADJ
ejpam-5967	312	6	science	science	NOUN
ejpam-5967	312	7	,	,	PUNCT
ejpam-5967	312	8	12:130	12:130	NUM
ejpam-5967	312	9	,	,	PUNCT
ejpam-5967	312	10	2022	2022	NUM
ejpam-5967	312	11	.	.	PUNCT
ejpam-5967	313	1	[	[	X
ejpam-5967	313	2	11	11	NUM
ejpam-5967	313	3	]	]	PUNCT
ejpam-5967	313	4	r.	r.	PROPN
ejpam-5967	313	5	abu	abu	PROPN
ejpam-5967	313	6	awwad	awwad	PROPN
ejpam-5967	313	7	,	,	PUNCT
ejpam-5967	313	8	m.	m.	NOUN
ejpam-5967	313	9	al	al	PROPN
ejpam-5967	313	10	-	-	PUNCT
ejpam-5967	313	11	momani	momani	PROPN
ejpam-5967	313	12	,	,	PUNCT
ejpam-5967	313	13	b.	b.	PROPN
ejpam-5967	313	14	abughazaleh	abughazaleh	PROPN
ejpam-5967	313	15	,	,	PUNCT
ejpam-5967	313	16	a.	a.	PROPN
ejpam-5967	313	17	jaradat	jaradat	PROPN
ejpam-5967	313	18	,	,	PUNCT
ejpam-5967	313	19	and	and	CCONJ
ejpam-5967	313	20	a.	a.	PROPN
ejpam-5967	313	21	farah	farah	PROPN
ejpam-5967	313	22	.	.	PUNCT
ejpam-5967	314	1	the	the	DET
ejpam-5967	314	2	conformable	conformable	ADJ
ejpam-5967	314	3	double	double	ADJ
ejpam-5967	314	4	laplace	laplace	NOUN
ejpam-5967	314	5	-	-	PUNCT
ejpam-5967	314	6	sawi	sawi	NOUN
ejpam-5967	314	7	transform	transform	NOUN
ejpam-5967	314	8	.	.	PUNCT
ejpam-5967	315	1	european	european	PROPN
ejpam-5967	315	2	journal	journal	PROPN
ejpam-5967	315	3	of	of	ADP
ejpam-5967	315	4	pure	pure	ADJ
ejpam-5967	315	5	and	and	CCONJ
ejpam-5967	315	6	applied	applied	ADJ
ejpam-5967	315	7	mathematics	mathematic	NOUN
ejpam-5967	315	8	,	,	PUNCT
ejpam-5967	315	9	18(2):6034–6050	18(2):6034–6050	NUM
ejpam-5967	315	10	,	,	PUNCT
ejpam-5967	315	11	2025	2025	NUM
ejpam-5967	315	12	.	.	PUNCT