id	sid	tid	token	lemma	pos
ejpam-5898	1	1	european	european	PROPN
ejpam-5898	1	2	journal	journal	PROPN
ejpam-5898	1	3	of	of	ADP
ejpam-5898	1	4	pure	pure	ADJ
ejpam-5898	1	5	and	and	CCONJ
ejpam-5898	1	6	applied	applied	ADJ
ejpam-5898	1	7	mathematics	mathematic	NOUN
ejpam-5898	1	8	2025	2025	NUM
ejpam-5898	1	9	,	,	PUNCT
ejpam-5898	1	10	vol	vol	NOUN
ejpam-5898	1	11	.	.	PROPN
ejpam-5898	1	12	18	18	NUM
ejpam-5898	1	13	,	,	PUNCT
ejpam-5898	1	14	issue	issue	NOUN
ejpam-5898	1	15	2	2	NUM
ejpam-5898	1	16	,	,	PUNCT
ejpam-5898	1	17	article	article	NOUN
ejpam-5898	1	18	number	number	NOUN
ejpam-5898	1	19	5898	5898	NUM
ejpam-5898	1	20	issn	issn	PROPN
ejpam-5898	1	21	1307	1307	NUM
ejpam-5898	1	22	-	-	SYM
ejpam-5898	1	23	5543	5543	NUM
ejpam-5898	1	24	–	–	PUNCT
ejpam-5898	1	25	ejpam.com	ejpam.com	X
ejpam-5898	1	26	published	publish	VERB
ejpam-5898	1	27	by	by	ADP
ejpam-5898	1	28	new	new	PROPN
ejpam-5898	1	29	york	york	PROPN
ejpam-5898	1	30	business	business	PROPN
ejpam-5898	1	31	global	global	ADJ
ejpam-5898	1	32	solving	solve	VERB
ejpam-5898	1	33	partial	partial	ADJ
ejpam-5898	1	34	differential	differential	ADJ
ejpam-5898	1	35	equations	equation	NOUN
ejpam-5898	1	36	via	via	ADP
ejpam-5898	1	37	the	the	DET
ejpam-5898	1	38	double	double	ADJ
ejpam-5898	1	39	sumudu	sumudu	NOUN
ejpam-5898	1	40	-	-	PUNCT
ejpam-5898	1	41	shehu	shehu	NOUN
ejpam-5898	1	42	transform	transform	VERB
ejpam-5898	1	43	monther	monther	PROPN
ejpam-5898	2	1	al	al	PROPN
ejpam-5898	2	2	-	-	PUNCT
ejpam-5898	2	3	momani1	momani1	PROPN
ejpam-5898	2	4	,	,	PUNCT
ejpam-5898	2	5	ali	ali	PROPN
ejpam-5898	2	6	jaradat2	jaradat2	PROPN
ejpam-5898	2	7	,	,	PUNCT
ejpam-5898	2	8	baha	baha	X
ejpam-5898	2	9	’	'	PUNCT
ejpam-5898	2	10	abughazaleh3,∗	abughazaleh3,∗	PROPN
ejpam-5898	2	11	,	,	PUNCT
ejpam-5898	2	12	abdulkarim	abdulkarim	NOUN
ejpam-5898	2	13	farah3	farah3	PROPN
ejpam-5898	2	14	1	1	NUM
ejpam-5898	2	15	department	department	NOUN
ejpam-5898	2	16	of	of	ADP
ejpam-5898	2	17	basic	basic	ADJ
ejpam-5898	2	18	sciences	sciences	PROPN
ejpam-5898	2	19	,	,	PUNCT
ejpam-5898	2	20	al	al	PROPN
ejpam-5898	2	21	-	-	PUNCT
ejpam-5898	2	22	ahliyya	ahliyya	PROPN
ejpam-5898	2	23	amman	amman	PROPN
ejpam-5898	2	24	university	university	PROPN
ejpam-5898	2	25	,	,	PUNCT
ejpam-5898	2	26	amman	amman	PROPN
ejpam-5898	2	27	,	,	PUNCT
ejpam-5898	2	28	jordan	jordan	PROPN
ejpam-5898	2	29	2	2	NUM
ejpam-5898	2	30	department	department	NOUN
ejpam-5898	2	31	of	of	ADP
ejpam-5898	2	32	mathematics	mathematic	NOUN
ejpam-5898	2	33	,	,	PUNCT
ejpam-5898	2	34	amman	amman	PROPN
ejpam-5898	2	35	arab	arab	PROPN
ejpam-5898	2	36	university	university	PROPN
ejpam-5898	2	37	,	,	PUNCT
ejpam-5898	2	38	amman	amman	PROPN
ejpam-5898	2	39	,	,	PUNCT
ejpam-5898	2	40	jordan	jordan	PROPN
ejpam-5898	2	41	3	3	NUM
ejpam-5898	2	42	department	department	PROPN
ejpam-5898	2	43	of	of	ADP
ejpam-5898	2	44	mathematics	mathematics	PROPN
ejpam-5898	2	45	,	,	PUNCT
ejpam-5898	2	46	isra	isra	PROPN
ejpam-5898	2	47	university	university	PROPN
ejpam-5898	2	48	,	,	PUNCT
ejpam-5898	2	49	amman	amman	PROPN
ejpam-5898	2	50	,	,	PUNCT
ejpam-5898	2	51	jordan	jordan	PROPN
ejpam-5898	2	52	abstract	abstract	PROPN
ejpam-5898	2	53	.	.	PUNCT
ejpam-5898	3	1	this	this	DET
ejpam-5898	3	2	paper	paper	NOUN
ejpam-5898	3	3	introduces	introduce	VERB
ejpam-5898	3	4	a	a	DET
ejpam-5898	3	5	new	new	ADJ
ejpam-5898	3	6	double	double	ADJ
ejpam-5898	3	7	hybrid	hybrid	NOUN
ejpam-5898	3	8	transform	transform	NOUN
ejpam-5898	3	9	yielding	yield	VERB
ejpam-5898	3	10	single	single	ADJ
ejpam-5898	3	11	integral	integral	ADJ
ejpam-5898	3	12	transforms	transform	NOUN
ejpam-5898	3	13	and	and	CCONJ
ejpam-5898	3	14	their	their	PRON
ejpam-5898	3	15	generalizations	generalization	NOUN
ejpam-5898	3	16	.	.	PUNCT
ejpam-5898	4	1	the	the	DET
ejpam-5898	4	2	main	main	ADJ
ejpam-5898	4	3	purpose	purpose	NOUN
ejpam-5898	4	4	of	of	ADP
ejpam-5898	4	5	this	this	DET
ejpam-5898	4	6	study	study	NOUN
ejpam-5898	4	7	is	be	AUX
ejpam-5898	4	8	to	to	PART
ejpam-5898	4	9	propose	propose	VERB
ejpam-5898	4	10	the	the	DET
ejpam-5898	4	11	most	most	ADV
ejpam-5898	4	12	common	common	ADJ
ejpam-5898	4	13	form	form	NOUN
ejpam-5898	4	14	for	for	ADP
ejpam-5898	4	15	generalized	generalized	ADJ
ejpam-5898	4	16	transformations	transformation	NOUN
ejpam-5898	4	17	in	in	ADP
ejpam-5898	4	18	terms	term	NOUN
ejpam-5898	4	19	of	of	ADP
ejpam-5898	4	20	hybrid	hybrid	NOUN
ejpam-5898	4	21	sumudu	sumudu	NOUN
ejpam-5898	4	22	and	and	CCONJ
ejpam-5898	4	23	shehu	shehu	NOUN
ejpam-5898	4	24	transforms	transform	VERB
ejpam-5898	4	25	.	.	PUNCT
ejpam-5898	5	1	in	in	ADP
ejpam-5898	5	2	this	this	DET
ejpam-5898	5	3	paper	paper	NOUN
ejpam-5898	5	4	,	,	PUNCT
ejpam-5898	5	5	we	we	PRON
ejpam-5898	5	6	introduce	introduce	VERB
ejpam-5898	5	7	a	a	DET
ejpam-5898	5	8	just	just	ADV
ejpam-5898	5	9	invented	invent	VERB
ejpam-5898	5	10	transform	transform	NOUN
ejpam-5898	5	11	and	and	CCONJ
ejpam-5898	5	12	research	research	VERB
ejpam-5898	5	13	its	its	PRON
ejpam-5898	5	14	basic	basic	ADJ
ejpam-5898	5	15	characteristics	characteristic	NOUN
ejpam-5898	5	16	such	such	ADJ
ejpam-5898	5	17	as	as	ADP
ejpam-5898	5	18	existence	existence	NOUN
ejpam-5898	5	19	,	,	PUNCT
ejpam-5898	5	20	inversion	inversion	NOUN
ejpam-5898	5	21	,	,	PUNCT
ejpam-5898	5	22	along	along	ADP
ejpam-5898	5	23	with	with	ADP
ejpam-5898	5	24	related	related	ADJ
ejpam-5898	5	25	theorems	theorem	NOUN
ejpam-5898	5	26	.	.	PUNCT
ejpam-5898	6	1	the	the	DET
ejpam-5898	6	2	study	study	NOUN
ejpam-5898	6	3	also	also	ADV
ejpam-5898	6	4	introduces	introduce	VERB
ejpam-5898	6	5	novel	novel	ADJ
ejpam-5898	6	6	results	result	NOUN
ejpam-5898	6	7	with	with	ADP
ejpam-5898	6	8	respect	respect	NOUN
ejpam-5898	6	9	to	to	ADP
ejpam-5898	6	10	partials	partial	NOUN
ejpam-5898	6	11	and	and	CCONJ
ejpam-5898	6	12	generalizes	generalize	VERB
ejpam-5898	6	13	the	the	DET
ejpam-5898	6	14	double	double	ADJ
ejpam-5898	6	15	convolution	convolution	NOUN
ejpam-5898	6	16	theorem	theorem	VERB
ejpam-5898	6	17	.	.	PUNCT
ejpam-5898	7	1	furthermore	furthermore	ADV
ejpam-5898	7	2	,	,	PUNCT
ejpam-5898	7	3	it	it	PRON
ejpam-5898	7	4	uses	use	VERB
ejpam-5898	7	5	the	the	DET
ejpam-5898	7	6	developed	develop	VERB
ejpam-5898	7	7	properties	property	NOUN
ejpam-5898	7	8	and	and	CCONJ
ejpam-5898	7	9	theorems	theorem	NOUN
ejpam-5898	7	10	to	to	PART
ejpam-5898	7	11	solve	solve	VERB
ejpam-5898	7	12	specific	specific	ADJ
ejpam-5898	7	13	kinds	kind	NOUN
ejpam-5898	7	14	of	of	ADP
ejpam-5898	7	15	differential	differential	ADJ
ejpam-5898	7	16	equations	equation	NOUN
ejpam-5898	7	17	that	that	PRON
ejpam-5898	7	18	have	have	VERB
ejpam-5898	7	19	very	very	ADV
ejpam-5898	7	20	important	important	ADJ
ejpam-5898	7	21	applications	application	NOUN
ejpam-5898	7	22	in	in	ADP
ejpam-5898	7	23	physics	physics	NOUN
ejpam-5898	7	24	and	and	CCONJ
ejpam-5898	7	25	science	science	NOUN
ejpam-5898	7	26	.	.	PUNCT
ejpam-5898	8	1	the	the	DET
ejpam-5898	8	2	purpose	purpose	NOUN
ejpam-5898	8	3	of	of	ADP
ejpam-5898	8	4	this	this	DET
ejpam-5898	8	5	research	research	NOUN
ejpam-5898	8	6	is	be	AUX
ejpam-5898	8	7	to	to	PART
ejpam-5898	8	8	show	show	VERB
ejpam-5898	8	9	the	the	DET
ejpam-5898	8	10	applicability	applicability	NOUN
ejpam-5898	8	11	and	and	CCONJ
ejpam-5898	8	12	efficiency	efficiency	NOUN
ejpam-5898	8	13	of	of	ADP
ejpam-5898	8	14	a	a	DET
ejpam-5898	8	15	novel	novel	ADJ
ejpam-5898	8	16	transform	transform	NOUN
ejpam-5898	8	17	in	in	ADP
ejpam-5898	8	18	solving	solve	VERB
ejpam-5898	8	19	differential	differential	ADJ
ejpam-5898	8	20	equations	equation	NOUN
ejpam-5898	8	21	with	with	ADP
ejpam-5898	8	22	multiple	multiple	ADJ
ejpam-5898	8	23	variable	variable	NOUN
ejpam-5898	8	24	to	to	PART
ejpam-5898	8	25	solve	solve	VERB
ejpam-5898	8	26	.	.	PUNCT
ejpam-5898	9	1	2020	2020	NUM
ejpam-5898	9	2	mathematics	mathematics	PROPN
ejpam-5898	9	3	subject	subject	NOUN
ejpam-5898	9	4	classifications	classification	NOUN
ejpam-5898	9	5	:	:	PUNCT
ejpam-5898	9	6	44a05	44a05	NUM
ejpam-5898	9	7	key	key	ADJ
ejpam-5898	9	8	words	word	NOUN
ejpam-5898	9	9	and	and	CCONJ
ejpam-5898	9	10	phrases	phrase	NOUN
ejpam-5898	9	11	:	:	PUNCT
ejpam-5898	9	12	sumudu	sumudu	NOUN
ejpam-5898	9	13	transform	transform	NOUN
ejpam-5898	9	14	,	,	PUNCT
ejpam-5898	9	15	shehu	shehu	NOUN
ejpam-5898	9	16	transform	transform	NOUN
ejpam-5898	9	17	,	,	PUNCT
ejpam-5898	9	18	the	the	DET
ejpam-5898	9	19	double	double	ADJ
ejpam-5898	9	20	sumudu	sumudu	NOUN
ejpam-5898	9	21	-	-	PUNCT
ejpam-5898	9	22	shehu	shehu	NOUN
ejpam-5898	9	23	transform	transform	NOUN
ejpam-5898	9	24	.	.	PUNCT
ejpam-5898	10	1	1	1	X
ejpam-5898	10	2	.	.	X
ejpam-5898	10	3	introduction	introduction	NOUN
ejpam-5898	10	4	integral	integral	ADJ
ejpam-5898	10	5	transforms	transform	NOUN
ejpam-5898	10	6	are	be	AUX
ejpam-5898	10	7	a	a	DET
ejpam-5898	10	8	class	class	NOUN
ejpam-5898	10	9	of	of	ADP
ejpam-5898	10	10	mathematical	mathematical	ADJ
ejpam-5898	10	11	operators	operator	NOUN
ejpam-5898	10	12	that	that	PRON
ejpam-5898	10	13	map	map	VERB
ejpam-5898	10	14	functions	function	NOUN
ejpam-5898	10	15	from	from	ADP
ejpam-5898	10	16	one	one	NUM
ejpam-5898	10	17	space	space	NOUN
ejpam-5898	10	18	to	to	ADP
ejpam-5898	10	19	another	another	PRON
ejpam-5898	10	20	through	through	ADP
ejpam-5898	10	21	the	the	DET
ejpam-5898	10	22	process	process	NOUN
ejpam-5898	10	23	of	of	ADP
ejpam-5898	10	24	integration	integration	NOUN
ejpam-5898	10	25	.	.	PUNCT
ejpam-5898	11	1	these	these	PRON
ejpam-5898	11	2	transforms	transform	VERB
ejpam-5898	11	3	simplify	simplify	VERB
ejpam-5898	11	4	the	the	DET
ejpam-5898	11	5	manipulation	manipulation	NOUN
ejpam-5898	11	6	of	of	ADP
ejpam-5898	11	7	certain	certain	ADJ
ejpam-5898	11	8	properties	property	NOUN
ejpam-5898	11	9	of	of	ADP
ejpam-5898	11	10	the	the	DET
ejpam-5898	11	11	original	original	ADJ
ejpam-5898	11	12	functions	function	NOUN
ejpam-5898	11	13	by	by	ADP
ejpam-5898	11	14	moving	move	VERB
ejpam-5898	11	15	them	they	PRON
ejpam-5898	11	16	to	to	ADP
ejpam-5898	11	17	a	a	DET
ejpam-5898	11	18	new	new	ADJ
ejpam-5898	11	19	functional	functional	ADJ
ejpam-5898	11	20	space	space	NOUN
ejpam-5898	11	21	.	.	PUNCT
ejpam-5898	12	1	after	after	ADP
ejpam-5898	12	2	transformation	transformation	NOUN
ejpam-5898	12	3	the	the	DET
ejpam-5898	12	4	function	function	NOUN
ejpam-5898	12	5	can	can	AUX
ejpam-5898	12	6	be	be	AUX
ejpam-5898	12	7	changed	change	VERB
ejpam-5898	12	8	back	back	ADV
ejpam-5898	12	9	to	to	ADP
ejpam-5898	12	10	its	its	PRON
ejpam-5898	12	11	original	original	ADJ
ejpam-5898	12	12	space	space	NOUN
ejpam-5898	12	13	using	use	VERB
ejpam-5898	12	14	inverse	inverse	NOUN
ejpam-5898	12	15	of	of	ADP
ejpam-5898	12	16	integral	integral	ADJ
ejpam-5898	12	17	transformation	transformation	NOUN
ejpam-5898	12	18	.	.	PUNCT
ejpam-5898	13	1	they	they	PRON
ejpam-5898	13	2	are	be	AUX
ejpam-5898	13	3	an	an	DET
ejpam-5898	13	4	integral	integral	ADJ
ejpam-5898	13	5	part	part	NOUN
ejpam-5898	13	6	of	of	ADP
ejpam-5898	13	7	physics	physics	NOUN
ejpam-5898	13	8	,	,	PUNCT
ejpam-5898	13	9	chemistry	chemistry	NOUN
ejpam-5898	13	10	,	,	PUNCT
ejpam-5898	13	11	engineering	engineering	NOUN
ejpam-5898	13	12	and	and	CCONJ
ejpam-5898	13	13	economy	economy	NOUN
ejpam-5898	13	14	since	since	SCONJ
ejpam-5898	13	15	they	they	PRON
ejpam-5898	13	16	help	help	VERB
ejpam-5898	13	17	in	in	ADP
ejpam-5898	13	18	modeling	model	VERB
ejpam-5898	13	19	real	real	ADJ
ejpam-5898	13	20	world	world	NOUN
ejpam-5898	13	21	phenomena	phenomenon	NOUN
ejpam-5898	13	22	.	.	PUNCT
ejpam-5898	14	1	thus	thus	ADV
ejpam-5898	14	2	,	,	PUNCT
ejpam-5898	14	3	mathematicians	mathematician	NOUN
ejpam-5898	14	4	keep	keep	VERB
ejpam-5898	14	5	coming	come	VERB
ejpam-5898	14	6	up	up	ADP
ejpam-5898	14	7	with	with	ADP
ejpam-5898	14	8	new	new	ADJ
ejpam-5898	14	9	techniques	technique	NOUN
ejpam-5898	14	10	to	to	PART
ejpam-5898	14	11	solve	solve	VERB
ejpam-5898	14	12	a	a	DET
ejpam-5898	14	13	more	more	ADV
ejpam-5898	14	14	and	and	CCONJ
ejpam-5898	14	15	more	more	ADV
ejpam-5898	14	16	wider	wide	ADJ
ejpam-5898	14	17	group	group	NOUN
ejpam-5898	14	18	of	of	ADP
ejpam-5898	14	19	differential	differential	ADJ
ejpam-5898	14	20	equations	equation	NOUN
ejpam-5898	14	21	.	.	PUNCT
ejpam-5898	15	1	∗corresponding	∗corresponde	VERB
ejpam-5898	15	2	author	author	NOUN
ejpam-5898	15	3	.	.	PUNCT
ejpam-5898	16	1	doi	doi	NOUN
ejpam-5898	16	2	:	:	PUNCT
ejpam-5898	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5898	https://doi.org/10.29020/nybg.ejpam.v18i2.5898	PROPN
ejpam-5898	16	4	email	email	NOUN
ejpam-5898	16	5	addresses	address	NOUN
ejpam-5898	16	6	:	:	PUNCT
ejpam-5898	16	7	montheralmomani72@gmail.com	montheralmomani72@gmail.com	X
ejpam-5898	16	8	(	(	PUNCT
ejpam-5898	16	9	m.	m.	PROPN
ejpam-5898	16	10	al	al	PROPN
ejpam-5898	16	11	-	-	PUNCT
ejpam-5898	16	12	momani	momani	NOUN
ejpam-5898	16	13	)	)	PUNCT
ejpam-5898	16	14	,	,	PUNCT
ejpam-5898	16	15	a.jaradat@aau.edu.jo	a.jaradat@aau.edu.jo	PROPN
ejpam-5898	16	16	(	(	PUNCT
ejpam-5898	16	17	a.	a.	NOUN
ejpam-5898	16	18	jaradat	jaradat	PROPN
ejpam-5898	16	19	)	)	PUNCT
ejpam-5898	16	20	,	,	PUNCT
ejpam-5898	16	21	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-5898	16	22	(	(	PUNCT
ejpam-5898	16	23	b.	b.	PROPN
ejpam-5898	16	24	abughazaleh	abughazaleh	PROPN
ejpam-5898	16	25	)	)	PUNCT
ejpam-5898	16	26	,	,	PUNCT
ejpam-5898	16	27	karim.farah@iu.edu.jo	karim.farah@iu.edu.jo	PROPN
ejpam-5898	16	28	(	(	PUNCT
ejpam-5898	16	29	a.	a.	PROPN
ejpam-5898	16	30	farah	farah	PROPN
ejpam-5898	16	31	)	)	PUNCT
ejpam-5898	16	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5898	16	33	1	1	NUM
ejpam-5898	16	34	copyright	copyright	NOUN
ejpam-5898	16	35	:	:	PUNCT
ejpam-5898	17	1	©	©	PROPN
ejpam-5898	17	2	2025	2025	NUM
ejpam-5898	17	3	the	the	DET
ejpam-5898	17	4	author(s	author(s	NOUN
ejpam-5898	17	5	)	)	PUNCT
ejpam-5898	17	6	.	.	PUNCT
ejpam-5898	18	1	(	(	PUNCT
ejpam-5898	18	2	cc	cc	NOUN
ejpam-5898	18	3	by	by	ADP
ejpam-5898	18	4	-	-	PUNCT
ejpam-5898	18	5	nc	nc	PROPN
ejpam-5898	18	6	4.0	4.0	NUM
ejpam-5898	18	7	)	)	PUNCT
ejpam-5898	18	8	m.	m.	NOUN
ejpam-5898	18	9	al	al	PROPN
ejpam-5898	18	10	-	-	PUNCT
ejpam-5898	18	11	momani	momani	X
ejpam-5898	18	12	et	et	PROPN
ejpam-5898	18	13	al	al	PROPN
ejpam-5898	18	14	.	.	PUNCT
ejpam-5898	18	15	/	/	SYM
ejpam-5898	18	16	eur	eur	PROPN
ejpam-5898	18	17	.	.	PUNCT
ejpam-5898	19	1	j.	j.	PROPN
ejpam-5898	19	2	pure	pure	PROPN
ejpam-5898	19	3	appl	appl	PROPN
ejpam-5898	19	4	.	.	PROPN
ejpam-5898	19	5	math	math	PROPN
ejpam-5898	19	6	,	,	PUNCT
ejpam-5898	19	7	18	18	NUM
ejpam-5898	19	8	(	(	PUNCT
ejpam-5898	19	9	2	2	NUM
ejpam-5898	19	10	)	)	PUNCT
ejpam-5898	19	11	(	(	PUNCT
ejpam-5898	19	12	2025	2025	NUM
ejpam-5898	19	13	)	)	PUNCT
ejpam-5898	19	14	,	,	PUNCT
ejpam-5898	19	15	5898	5898	NUM
ejpam-5898	19	16	2	2	NUM
ejpam-5898	19	17	of	of	ADP
ejpam-5898	19	18	18	18	NUM
ejpam-5898	19	19	integral	integral	ADJ
ejpam-5898	19	20	transformations	transformation	NOUN
ejpam-5898	19	21	are	be	AUX
ejpam-5898	19	22	known	know	VERB
ejpam-5898	19	23	for	for	ADP
ejpam-5898	19	24	their	their	PRON
ejpam-5898	19	25	effectiveness	effectiveness	NOUN
ejpam-5898	19	26	and	and	CCONJ
ejpam-5898	19	27	simplicity	simplicity	NOUN
ejpam-5898	19	28	,	,	PUNCT
ejpam-5898	19	29	particularly	particularly	ADV
ejpam-5898	19	30	when	when	SCONJ
ejpam-5898	19	31	applied	apply	VERB
ejpam-5898	19	32	to	to	ADP
ejpam-5898	19	33	differential	differential	ADJ
ejpam-5898	19	34	equations	equation	NOUN
ejpam-5898	19	35	with	with	ADP
ejpam-5898	19	36	initial	initial	ADJ
ejpam-5898	19	37	or	or	CCONJ
ejpam-5898	19	38	boundary	boundary	ADJ
ejpam-5898	19	39	conditions	condition	NOUN
ejpam-5898	19	40	.	.	PUNCT
ejpam-5898	20	1	they	they	PRON
ejpam-5898	20	2	simplify	simplify	VERB
ejpam-5898	20	3	the	the	DET
ejpam-5898	20	4	process	process	NOUN
ejpam-5898	20	5	by	by	ADP
ejpam-5898	20	6	converting	convert	VERB
ejpam-5898	20	7	differential	differential	ADJ
ejpam-5898	20	8	equations	equation	NOUN
ejpam-5898	20	9	,	,	PUNCT
ejpam-5898	20	10	reducing	reduce	VERB
ejpam-5898	20	11	the	the	DET
ejpam-5898	20	12	complexity	complexity	NOUN
ejpam-5898	20	13	from	from	ADP
ejpam-5898	20	14	derivative	derivative	ADJ
ejpam-5898	20	15	operations	operation	NOUN
ejpam-5898	20	16	to	to	ADP
ejpam-5898	20	17	algebraic	algebraic	ADJ
ejpam-5898	20	18	ones	one	NOUN
ejpam-5898	20	19	.	.	PUNCT
ejpam-5898	21	1	by	by	ADP
ejpam-5898	21	2	carefully	carefully	ADV
ejpam-5898	21	3	selecting	select	VERB
ejpam-5898	21	4	the	the	DET
ejpam-5898	21	5	appropriate	appropriate	ADJ
ejpam-5898	21	6	integral	integral	ADJ
ejpam-5898	21	7	transformation	transformation	NOUN
ejpam-5898	21	8	,	,	PUNCT
ejpam-5898	21	9	it	it	PRON
ejpam-5898	21	10	becomes	become	VERB
ejpam-5898	21	11	easier	easy	ADJ
ejpam-5898	21	12	to	to	PART
ejpam-5898	21	13	manage	manage	VERB
ejpam-5898	21	14	not	not	PART
ejpam-5898	21	15	only	only	ADV
ejpam-5898	21	16	the	the	DET
ejpam-5898	21	17	derivatives	derivative	NOUN
ejpam-5898	21	18	in	in	ADP
ejpam-5898	21	19	intricate	intricate	ADJ
ejpam-5898	21	20	differential	differential	ADJ
ejpam-5898	21	21	equations	equation	NOUN
ejpam-5898	21	22	but	but	CCONJ
ejpam-5898	21	23	also	also	ADV
ejpam-5898	21	24	the	the	DET
ejpam-5898	21	25	boundary	boundary	ADJ
ejpam-5898	21	26	conditions	condition	NOUN
ejpam-5898	21	27	,	,	PUNCT
ejpam-5898	21	28	leading	lead	VERB
ejpam-5898	21	29	to	to	ADP
ejpam-5898	21	30	a	a	DET
ejpam-5898	21	31	form	form	NOUN
ejpam-5898	21	32	of	of	ADP
ejpam-5898	21	33	the	the	DET
ejpam-5898	21	34	equation	equation	NOUN
ejpam-5898	21	35	that	that	PRON
ejpam-5898	21	36	is	be	AUX
ejpam-5898	21	37	more	more	ADV
ejpam-5898	21	38	straightforward	straightforward	ADJ
ejpam-5898	21	39	to	to	PART
ejpam-5898	21	40	solve	solve	VERB
ejpam-5898	21	41	.	.	PUNCT
ejpam-5898	22	1	one	one	NUM
ejpam-5898	22	2	of	of	ADP
ejpam-5898	22	3	the	the	DET
ejpam-5898	22	4	most	most	ADV
ejpam-5898	22	5	well	well	ADV
ejpam-5898	22	6	-	-	PUNCT
ejpam-5898	22	7	known	know	VERB
ejpam-5898	22	8	transforms	transform	NOUN
ejpam-5898	22	9	is	be	AUX
ejpam-5898	22	10	the	the	DET
ejpam-5898	22	11	laplace	laplace	NOUN
ejpam-5898	22	12	transform	transform	NOUN
ejpam-5898	22	13	,	,	PUNCT
ejpam-5898	22	14	which	which	PRON
ejpam-5898	22	15	was	be	AUX
ejpam-5898	22	16	introduced	introduce	VERB
ejpam-5898	22	17	in	in	ADP
ejpam-5898	22	18	1780	1780	NUM
ejpam-5898	22	19	.	.	PUNCT
ejpam-5898	23	1	it	it	PRON
ejpam-5898	23	2	is	be	AUX
ejpam-5898	23	3	used	use	VERB
ejpam-5898	23	4	in	in	ADP
ejpam-5898	23	5	various	various	ADJ
ejpam-5898	23	6	fields	field	NOUN
ejpam-5898	23	7	such	such	ADJ
ejpam-5898	23	8	as	as	ADP
ejpam-5898	23	9	science	science	NOUN
ejpam-5898	23	10	and	and	CCONJ
ejpam-5898	23	11	engineering	engineering	NOUN
ejpam-5898	23	12	.	.	PUNCT
ejpam-5898	24	1	in	in	ADP
ejpam-5898	24	2	1993	1993	NUM
ejpam-5898	24	3	,	,	PUNCT
ejpam-5898	24	4	the	the	DET
ejpam-5898	24	5	sumudu	sumudu	NOUN
ejpam-5898	24	6	transform	transform	NOUN
ejpam-5898	24	7	was	be	AUX
ejpam-5898	24	8	defined	define	VERB
ejpam-5898	24	9	by	by	ADP
ejpam-5898	24	10	[	[	X
ejpam-5898	24	11	1	1	NUM
ejpam-5898	24	12	]	]	PUNCT
ejpam-5898	24	13	.	.	PUNCT
ejpam-5898	25	1	more	more	ADV
ejpam-5898	25	2	recently	recently	ADV
ejpam-5898	25	3	,	,	PUNCT
ejpam-5898	25	4	the	the	DET
ejpam-5898	25	5	shehu	shehu	NOUN
ejpam-5898	25	6	transform	transform	NOUN
ejpam-5898	25	7	was	be	AUX
ejpam-5898	25	8	introduced	introduce	VERB
ejpam-5898	25	9	by	by	ADP
ejpam-5898	25	10	[	[	X
ejpam-5898	25	11	2	2	X
ejpam-5898	25	12	]	]	PUNCT
ejpam-5898	25	13	in	in	ADP
ejpam-5898	25	14	2019	2019	NUM
ejpam-5898	25	15	,	,	PUNCT
ejpam-5898	25	16	which	which	PRON
ejpam-5898	25	17	represents	represent	VERB
ejpam-5898	25	18	a	a	DET
ejpam-5898	25	19	generalization	generalization	NOUN
ejpam-5898	25	20	of	of	ADP
ejpam-5898	25	21	the	the	DET
ejpam-5898	25	22	laplace	laplace	NOUN
ejpam-5898	25	23	and	and	CCONJ
ejpam-5898	25	24	sumudu	sumudu	NOUN
ejpam-5898	25	25	transforms	transform	VERB
ejpam-5898	25	26	.	.	PUNCT
ejpam-5898	26	1	for	for	ADP
ejpam-5898	26	2	additional	additional	ADJ
ejpam-5898	26	3	details	detail	NOUN
ejpam-5898	26	4	on	on	ADP
ejpam-5898	26	5	the	the	DET
ejpam-5898	26	6	shehu	shehu	NOUN
ejpam-5898	26	7	transform	transform	NOUN
ejpam-5898	26	8	.	.	PUNCT
ejpam-5898	27	1	additionally	additionally	ADV
ejpam-5898	27	2	,	,	PUNCT
ejpam-5898	27	3	double	double	ADJ
ejpam-5898	27	4	transforms	transform	NOUN
ejpam-5898	27	5	have	have	AUX
ejpam-5898	27	6	been	be	AUX
ejpam-5898	27	7	defined	define	VERB
ejpam-5898	27	8	for	for	ADP
ejpam-5898	27	9	solving	solve	VERB
ejpam-5898	27	10	differential	differential	ADJ
ejpam-5898	27	11	equations	equation	NOUN
ejpam-5898	27	12	involving	involve	VERB
ejpam-5898	27	13	more	more	ADJ
ejpam-5898	27	14	than	than	ADP
ejpam-5898	27	15	one	one	NUM
ejpam-5898	27	16	variable	variable	NOUN
ejpam-5898	27	17	.	.	PUNCT
ejpam-5898	28	1	examples	example	NOUN
ejpam-5898	28	2	of	of	ADP
ejpam-5898	28	3	double	double	ADJ
ejpam-5898	28	4	transforms	transform	NOUN
ejpam-5898	28	5	include	include	VERB
ejpam-5898	28	6	the	the	DET
ejpam-5898	28	7	double	double	ADJ
ejpam-5898	28	8	laplace	laplace	NOUN
ejpam-5898	28	9	transform	transform	NOUN
ejpam-5898	28	10	[	[	X
ejpam-5898	28	11	3	3	NUM
ejpam-5898	28	12	]	]	PUNCT
ejpam-5898	28	13	,	,	PUNCT
ejpam-5898	28	14	the	the	DET
ejpam-5898	28	15	double	double	ADJ
ejpam-5898	28	16	sumudu	sumudu	NOUN
ejpam-5898	28	17	transform	transform	NOUN
ejpam-5898	28	18	[	[	X
ejpam-5898	28	19	4	4	NUM
ejpam-5898	28	20	]	]	PUNCT
ejpam-5898	28	21	,	,	PUNCT
ejpam-5898	28	22	double	double	ADJ
ejpam-5898	28	23	mellin	mellin	PROPN
ejpam-5898	28	24	-	-	PUNCT
ejpam-5898	28	25	ara	ara	NOUN
ejpam-5898	28	26	transform	transform	NOUN
ejpam-5898	28	27	[	[	X
ejpam-5898	28	28	5	5	NUM
ejpam-5898	28	29	]	]	PUNCT
ejpam-5898	28	30	,	,	PUNCT
ejpam-5898	28	31	for	for	SCONJ
ejpam-5898	28	32	more	more	ADJ
ejpam-5898	28	33	details	detail	NOUN
ejpam-5898	28	34	about	about	ADP
ejpam-5898	28	35	integral	integral	ADJ
ejpam-5898	28	36	transform	transform	NOUN
ejpam-5898	28	37	see	see	VERB
ejpam-5898	28	38	[	[	X
ejpam-5898	28	39	6	6	NUM
ejpam-5898	28	40	]	]	PUNCT
ejpam-5898	28	41	,	,	PUNCT
ejpam-5898	29	1	[	[	X
ejpam-5898	29	2	7	7	NUM
ejpam-5898	29	3	]	]	PUNCT
ejpam-5898	29	4	,	,	PUNCT
ejpam-5898	29	5	[	[	X
ejpam-5898	29	6	8	8	NUM
ejpam-5898	29	7	]	]	PUNCT
ejpam-5898	29	8	,	,	PUNCT
ejpam-5898	29	9	[	[	X
ejpam-5898	29	10	9	9	NUM
ejpam-5898	29	11	]	]	PUNCT
ejpam-5898	29	12	,	,	PUNCT
ejpam-5898	29	13	[	[	X
ejpam-5898	29	14	10	10	NUM
ejpam-5898	29	15	]	]	PUNCT
ejpam-5898	29	16	and	and	CCONJ
ejpam-5898	29	17	[	[	X
ejpam-5898	29	18	11	11	NUM
ejpam-5898	29	19	]	]	PUNCT
ejpam-5898	29	20	.	.	PUNCT
ejpam-5898	30	1	in	in	ADP
ejpam-5898	30	2	this	this	DET
ejpam-5898	30	3	research	research	NOUN
ejpam-5898	30	4	,	,	PUNCT
ejpam-5898	30	5	we	we	PRON
ejpam-5898	30	6	define	define	VERB
ejpam-5898	30	7	the	the	DET
ejpam-5898	30	8	double	double	ADJ
ejpam-5898	30	9	sumudu	sumudu	NOUN
ejpam-5898	30	10	-	-	PUNCT
ejpam-5898	30	11	shehu	shehu	NOUN
ejpam-5898	30	12	transform(dsht	transform(dsht	PROPN
ejpam-5898	30	13	)	)	PUNCT
ejpam-5898	30	14	.	.	PUNCT
ejpam-5898	31	1	we	we	PRON
ejpam-5898	31	2	explore	explore	VERB
ejpam-5898	31	3	its	its	PRON
ejpam-5898	31	4	properties	property	NOUN
ejpam-5898	31	5	,	,	PUNCT
ejpam-5898	31	6	including	include	VERB
ejpam-5898	31	7	the	the	DET
ejpam-5898	31	8	conditions	condition	NOUN
ejpam-5898	31	9	for	for	ADP
ejpam-5898	31	10	its	its	PRON
ejpam-5898	31	11	existence	existence	NOUN
ejpam-5898	31	12	,	,	PUNCT
ejpam-5898	31	13	linearity	linearity	NOUN
ejpam-5898	31	14	.	.	PUNCT
ejpam-5898	32	1	the	the	DET
ejpam-5898	32	2	study	study	NOUN
ejpam-5898	32	3	employs	employ	VERB
ejpam-5898	32	4	this	this	DET
ejpam-5898	32	5	hybrid	hybrid	NOUN
ejpam-5898	32	6	transform	transform	NOUN
ejpam-5898	32	7	across	across	ADP
ejpam-5898	32	8	various	various	ADJ
ejpam-5898	32	9	fundamental	fundamental	ADJ
ejpam-5898	32	10	functions	function	NOUN
ejpam-5898	32	11	,	,	PUNCT
ejpam-5898	32	12	revealing	reveal	VERB
ejpam-5898	32	13	its	its	PRON
ejpam-5898	32	14	potential	potential	NOUN
ejpam-5898	32	15	in	in	ADP
ejpam-5898	32	16	the	the	DET
ejpam-5898	32	17	realms	realm	NOUN
ejpam-5898	32	18	of	of	ADP
ejpam-5898	32	19	convolution	convolution	NOUN
ejpam-5898	32	20	theory	theory	NOUN
ejpam-5898	32	21	and	and	CCONJ
ejpam-5898	32	22	derivative	derivative	ADJ
ejpam-5898	32	23	operations	operation	NOUN
ejpam-5898	32	24	.	.	PUNCT
ejpam-5898	33	1	we	we	PRON
ejpam-5898	33	2	also	also	ADV
ejpam-5898	33	3	apply	apply	VERB
ejpam-5898	33	4	the	the	DET
ejpam-5898	33	5	double	double	ADJ
ejpam-5898	33	6	sumudu	sumudu	NOUN
ejpam-5898	33	7	-	-	PUNCT
ejpam-5898	33	8	shehu	shehu	NOUN
ejpam-5898	33	9	transform	transform	NOUN
ejpam-5898	33	10	to	to	PART
ejpam-5898	33	11	solve	solve	VERB
ejpam-5898	33	12	partial	partial	ADJ
ejpam-5898	33	13	differential	differential	NOUN
ejpam-5898	33	14	equations	equation	NOUN
ejpam-5898	33	15	.	.	PUNCT
ejpam-5898	34	1	2	2	X
ejpam-5898	34	2	.	.	X
ejpam-5898	34	3	sumudu	sumudu	NOUN
ejpam-5898	34	4	and	and	CCONJ
ejpam-5898	34	5	shehu	shehu	NOUN
ejpam-5898	34	6	transforms	transform	VERB
ejpam-5898	34	7	this	this	DET
ejpam-5898	34	8	section	section	NOUN
ejpam-5898	34	9	provides	provide	VERB
ejpam-5898	34	10	a	a	DET
ejpam-5898	34	11	brief	brief	ADJ
ejpam-5898	34	12	overview	overview	NOUN
ejpam-5898	34	13	and	and	CCONJ
ejpam-5898	34	14	fundamental	fundamental	ADJ
ejpam-5898	34	15	properties	property	NOUN
ejpam-5898	34	16	of	of	ADP
ejpam-5898	34	17	the	the	DET
ejpam-5898	34	18	single	single	ADJ
ejpam-5898	34	19	transforms	transform	NOUN
ejpam-5898	34	20	:	:	PUNCT
ejpam-5898	34	21	sumudu	sumudu	NOUN
ejpam-5898	34	22	,	,	PUNCT
ejpam-5898	34	23	and	and	CCONJ
ejpam-5898	34	24	shehu	shehu	NOUN
ejpam-5898	34	25	transforms	transform	VERB
ejpam-5898	34	26	.	.	PUNCT
ejpam-5898	35	1	2.1	2.1	NUM
ejpam-5898	35	2	.	.	PUNCT
ejpam-5898	35	3	sumudu	sumudu	NOUN
ejpam-5898	35	4	transform	transform	VERB
ejpam-5898	35	5	definition	definition	NOUN
ejpam-5898	35	6	1	1	NUM
ejpam-5898	35	7	.	.	PUNCT
ejpam-5898	36	1	for	for	ADP
ejpam-5898	36	2	a	a	DET
ejpam-5898	36	3	continuous	continuous	ADJ
ejpam-5898	36	4	function	function	NOUN
ejpam-5898	36	5	r(τ	r(τ	PROPN
ejpam-5898	36	6	)	)	PUNCT
ejpam-5898	36	7	defined	define	VERB
ejpam-5898	36	8	on	on	ADP
ejpam-5898	36	9	(	(	PUNCT
ejpam-5898	36	10	0,∞	0,∞	NUM
ejpam-5898	36	11	)	)	PUNCT
ejpam-5898	36	12	,	,	PUNCT
ejpam-5898	36	13	the	the	DET
ejpam-5898	36	14	sumudu	sumudu	NOUN
ejpam-5898	36	15	is	be	AUX
ejpam-5898	36	16	defined	define	VERB
ejpam-5898	36	17	as	as	ADP
ejpam-5898	36	18	follows	follow	VERB
ejpam-5898	36	19	:	:	PUNCT
ejpam-5898	36	20	r(κ	r(κ	NUM
ejpam-5898	36	21	)	)	PUNCT
ejpam-5898	36	22	=	=	SYM
ejpam-5898	36	23	s(r(τ	s(r(τ	NOUN
ejpam-5898	36	24	)	)	PUNCT
ejpam-5898	36	25	)	)	PUNCT
ejpam-5898	37	1	=	=	SYM
ejpam-5898	38	1	1	1	NUM
ejpam-5898	38	2	κ	κ	X
ejpam-5898	38	3	∞∫	∞∫	PROPN
ejpam-5898	38	4	0	0	NUM
ejpam-5898	39	1	e−	e−	PROPN
ejpam-5898	39	2	τ	τ	PROPN
ejpam-5898	39	3	κ	κ	PROPN
ejpam-5898	39	4	r(τ)dτ	r(τ)dτ	PROPN
ejpam-5898	39	5	,	,	PUNCT
ejpam-5898	39	6	κ	κ	PROPN
ejpam-5898	39	7	∈	∈	PROPN
ejpam-5898	39	8	c.	c.	PROPN
ejpam-5898	39	9	here	here	ADV
ejpam-5898	39	10	,	,	PUNCT
ejpam-5898	39	11	we	we	PRON
ejpam-5898	39	12	present	present	VERB
ejpam-5898	39	13	some	some	DET
ejpam-5898	39	14	fundamental	fundamental	ADJ
ejpam-5898	39	15	properties	property	NOUN
ejpam-5898	39	16	of	of	ADP
ejpam-5898	39	17	the	the	DET
ejpam-5898	39	18	sumudu	sumudu	NOUN
ejpam-5898	39	19	transform	transform	NOUN
ejpam-5898	39	20	.	.	PUNCT
ejpam-5898	40	1	let	let	VERB
ejpam-5898	40	2	r(κ	r(κ	X
ejpam-5898	40	3	)	)	PUNCT
ejpam-5898	40	4	=	=	SYM
ejpam-5898	40	5	s(r(τ	s(r(τ	PROPN
ejpam-5898	40	6	)	)	PUNCT
ejpam-5898	40	7	)	)	PUNCT
ejpam-5898	40	8	,	,	PUNCT
ejpam-5898	40	9	then	then	ADV
ejpam-5898	40	10	for	for	ADP
ejpam-5898	40	11	nonzero	nonzero	PROPN
ejpam-5898	40	12	constants	constant	NOUN
ejpam-5898	40	13	β	β	X
ejpam-5898	40	14	and	and	CCONJ
ejpam-5898	40	15	γ	γ	X
ejpam-5898	40	16	,	,	PUNCT
ejpam-5898	40	17	we	we	PRON
ejpam-5898	40	18	have	have	VERB
ejpam-5898	40	19	s(βr1(τ	s(βr1(τ	NOUN
ejpam-5898	40	20	)	)	PUNCT
ejpam-5898	40	21	+	+	CCONJ
ejpam-5898	40	22	γr2(τ	γr2(τ	PROPN
ejpam-5898	40	23	)	)	PUNCT
ejpam-5898	40	24	)	)	PUNCT
ejpam-5898	41	1	=	=	SYM
ejpam-5898	41	2	βs(r1(τ	βs(r1(τ	PROPN
ejpam-5898	41	3	)	)	PUNCT
ejpam-5898	41	4	)	)	PUNCT
ejpam-5898	42	1	+	+	CCONJ
ejpam-5898	42	2	γs(r2(τ	γs(r2(τ	NOUN
ejpam-5898	42	3	)	)	PUNCT
ejpam-5898	42	4	)	)	PUNCT
ejpam-5898	42	5	,	,	PUNCT
ejpam-5898	42	6	(	(	PUNCT
ejpam-5898	42	7	1	1	X
ejpam-5898	42	8	)	)	PUNCT
ejpam-5898	42	9	where	where	SCONJ
ejpam-5898	42	10	r1(τ	r1(τ	NOUN
ejpam-5898	42	11	)	)	PUNCT
ejpam-5898	42	12	and	and	CCONJ
ejpam-5898	42	13	r2(τ	r2(τ	PROPN
ejpam-5898	42	14	)	)	PUNCT
ejpam-5898	42	15	are	be	AUX
ejpam-5898	42	16	continuous	continuous	ADJ
ejpam-5898	42	17	functions	function	NOUN
ejpam-5898	42	18	on	on	ADP
ejpam-5898	42	19	(	(	PUNCT
ejpam-5898	42	20	0,∞	0,∞	NUM
ejpam-5898	42	21	)	)	PUNCT
ejpam-5898	42	22	.	.	PUNCT
ejpam-5898	43	1	m.	m.	PROPN
ejpam-5898	43	2	al	al	PROPN
ejpam-5898	43	3	-	-	PUNCT
ejpam-5898	43	4	momani	momani	X
ejpam-5898	43	5	et	et	PROPN
ejpam-5898	43	6	al	al	PROPN
ejpam-5898	43	7	.	.	PUNCT
ejpam-5898	43	8	/	/	SYM
ejpam-5898	43	9	eur	eur	PROPN
ejpam-5898	43	10	.	.	PUNCT
ejpam-5898	44	1	j.	j.	PROPN
ejpam-5898	44	2	pure	pure	PROPN
ejpam-5898	44	3	appl	appl	PROPN
ejpam-5898	44	4	.	.	PROPN
ejpam-5898	44	5	math	math	PROPN
ejpam-5898	44	6	,	,	PUNCT
ejpam-5898	44	7	18	18	NUM
ejpam-5898	44	8	(	(	PUNCT
ejpam-5898	44	9	2	2	NUM
ejpam-5898	44	10	)	)	PUNCT
ejpam-5898	44	11	(	(	PUNCT
ejpam-5898	44	12	2025	2025	NUM
ejpam-5898	44	13	)	)	PUNCT
ejpam-5898	44	14	,	,	PUNCT
ejpam-5898	44	15	5898	5898	NUM
ejpam-5898	44	16	3	3	NUM
ejpam-5898	44	17	of	of	ADP
ejpam-5898	44	18	18	18	NUM
ejpam-5898	44	19	s(τβ	s(τβ	PROPN
ejpam-5898	44	20	)	)	PUNCT
ejpam-5898	44	21	=	=	PUNCT
ejpam-5898	45	1	γ(β	γ(β	PROPN
ejpam-5898	45	2	+	+	CCONJ
ejpam-5898	45	3	1)κβ	1)κβ	PROPN
ejpam-5898	45	4	(	(	PUNCT
ejpam-5898	45	5	2	2	NUM
ejpam-5898	45	6	)	)	PUNCT
ejpam-5898	45	7	s(eβτ	s(eβτ	X
ejpam-5898	45	8	)	)	PUNCT
ejpam-5898	45	9	=	=	SYM
ejpam-5898	46	1	1	1	NUM
ejpam-5898	46	2	1−	1−	NUM
ejpam-5898	46	3	κβ	κβ	NOUN
ejpam-5898	46	4	,	,	PUNCT
ejpam-5898	46	5	β	β	X
ejpam-5898	46	6	∈	∈	PROPN
ejpam-5898	46	7	r	r	NOUN
ejpam-5898	46	8	(	(	PUNCT
ejpam-5898	46	9	3	3	NUM
ejpam-5898	46	10	)	)	PUNCT
ejpam-5898	46	11	s(r′(τ	s(r′(τ	PROPN
ejpam-5898	46	12	)	)	PUNCT
ejpam-5898	46	13	)	)	PUNCT
ejpam-5898	47	1	=	=	SYM
ejpam-5898	47	2	r(κ	r(κ	PROPN
ejpam-5898	47	3	)	)	PUNCT
ejpam-5898	47	4	κ	κ	PART
ejpam-5898	47	5	−	−	PROPN
ejpam-5898	47	6	r(0	r(0	PROPN
ejpam-5898	47	7	)	)	PUNCT
ejpam-5898	47	8	κ	κ	NOUN
ejpam-5898	47	9	(	(	PUNCT
ejpam-5898	47	10	4	4	NUM
ejpam-5898	47	11	)	)	PUNCT
ejpam-5898	47	12	s(r′′(τ	s(r′′(τ	PROPN
ejpam-5898	47	13	)	)	PUNCT
ejpam-5898	47	14	)	)	PUNCT
ejpam-5898	47	15	=	=	SYM
ejpam-5898	47	16	r(κ	r(κ	PROPN
ejpam-5898	47	17	)	)	PUNCT
ejpam-5898	47	18	κ2	κ2	NOUN
ejpam-5898	47	19	−	−	PROPN
ejpam-5898	47	20	r(0	r(0	PROPN
ejpam-5898	47	21	)	)	PUNCT
ejpam-5898	47	22	κ2	κ2	NOUN
ejpam-5898	47	23	−	−	PROPN
ejpam-5898	47	24	r′(0	r′(0	PROPN
ejpam-5898	47	25	)	)	PUNCT
ejpam-5898	47	26	κ	κ	PROPN
ejpam-5898	47	27	.	.	PUNCT
ejpam-5898	48	1	(	(	PUNCT
ejpam-5898	48	2	5	5	NUM
ejpam-5898	48	3	)	)	PUNCT
ejpam-5898	48	4	2.2	2.2	NUM
ejpam-5898	48	5	.	.	PUNCT
ejpam-5898	49	1	the	the	DET
ejpam-5898	49	2	shehu	shehu	NOUN
ejpam-5898	49	3	transform	transform	VERB
ejpam-5898	49	4	definition	definition	NOUN
ejpam-5898	49	5	2	2	NUM
ejpam-5898	49	6	.	.	PUNCT
ejpam-5898	50	1	for	for	ADP
ejpam-5898	50	2	a	a	DET
ejpam-5898	50	3	continuous	continuous	ADJ
ejpam-5898	50	4	function	function	NOUN
ejpam-5898	50	5	t(υ	t(υ	NOUN
ejpam-5898	50	6	)	)	PUNCT
ejpam-5898	50	7	defined	define	VERB
ejpam-5898	50	8	on	on	ADP
ejpam-5898	50	9	(	(	PUNCT
ejpam-5898	50	10	0,∞	0,∞	NOUN
ejpam-5898	50	11	)	)	PUNCT
ejpam-5898	50	12	,	,	PUNCT
ejpam-5898	50	13	the	the	DET
ejpam-5898	50	14	shehu	shehu	NOUN
ejpam-5898	50	15	is	be	AUX
ejpam-5898	50	16	defined	define	VERB
ejpam-5898	50	17	as	as	SCONJ
ejpam-5898	50	18	follows	follow	VERB
ejpam-5898	50	19	:	:	PUNCT
ejpam-5898	50	20	t	t	PROPN
ejpam-5898	50	21	(	(	PUNCT
ejpam-5898	50	22	λ	λ	PROPN
ejpam-5898	50	23	,	,	PUNCT
ejpam-5898	50	24	µ	µ	NOUN
ejpam-5898	50	25	)	)	PUNCT
ejpam-5898	50	26	=	=	SYM
ejpam-5898	50	27	h(t(υ	h(t(υ	NOUN
ejpam-5898	50	28	)	)	PUNCT
ejpam-5898	50	29	)	)	PUNCT
ejpam-5898	51	1	=	=	PUNCT
ejpam-5898	51	2	∞∫	∞∫	NOUN
ejpam-5898	51	3	0	0	NUM
ejpam-5898	52	1	e	e	NOUN
ejpam-5898	52	2	−λυ	−λυ	PROPN
ejpam-5898	52	3	µ	µ	PROPN
ejpam-5898	52	4	t(υ)dυ	t(υ)dυ	PROPN
ejpam-5898	52	5	.	.	PUNCT
ejpam-5898	53	1	we	we	PRON
ejpam-5898	53	2	now	now	ADV
ejpam-5898	53	3	outline	outline	VERB
ejpam-5898	53	4	the	the	DET
ejpam-5898	53	5	fundamental	fundamental	ADJ
ejpam-5898	53	6	properties	property	NOUN
ejpam-5898	53	7	of	of	ADP
ejpam-5898	53	8	the	the	DET
ejpam-5898	53	9	shehu	shehu	NOUN
ejpam-5898	53	10	transform	transform	NOUN
ejpam-5898	53	11	.	.	PUNCT
ejpam-5898	53	12	suppose	suppose	VERB
ejpam-5898	54	1	that	that	SCONJ
ejpam-5898	54	2	t1(λ	t1(λ	PROPN
ejpam-5898	54	3	,	,	PUNCT
ejpam-5898	54	4	µ	µ	NOUN
ejpam-5898	54	5	)	)	PUNCT
ejpam-5898	54	6	=	=	SYM
ejpam-5898	54	7	h(t1(υ	h(t1(υ	NOUN
ejpam-5898	54	8	)	)	PUNCT
ejpam-5898	54	9	)	)	PUNCT
ejpam-5898	54	10	and	and	CCONJ
ejpam-5898	54	11	t2(λ	t2(λ	NUM
ejpam-5898	54	12	,	,	PUNCT
ejpam-5898	54	13	µ	µ	NOUN
ejpam-5898	54	14	)	)	PUNCT
ejpam-5898	54	15	=	=	SYM
ejpam-5898	54	16	h(t2(υ	h(t2(υ	PROPN
ejpam-5898	54	17	)	)	PUNCT
ejpam-5898	54	18	)	)	PUNCT
ejpam-5898	54	19	,	,	PUNCT
ejpam-5898	54	20	and	and	CCONJ
ejpam-5898	54	21	β	β	PROPN
ejpam-5898	54	22	and	and	CCONJ
ejpam-5898	54	23	γ	γ	PROPN
ejpam-5898	54	24	are	be	AUX
ejpam-5898	54	25	nonzero	nonzero	ADJ
ejpam-5898	54	26	real	real	ADJ
ejpam-5898	54	27	numbers	number	NOUN
ejpam-5898	54	28	,	,	PUNCT
ejpam-5898	54	29	then	then	ADV
ejpam-5898	54	30	the	the	DET
ejpam-5898	54	31	following	follow	VERB
ejpam-5898	54	32	properties	property	NOUN
ejpam-5898	54	33	hold	hold	VERB
ejpam-5898	54	34	:	:	PUNCT
ejpam-5898	54	35	h(βt1(υ	h(βt1(υ	ADJ
ejpam-5898	54	36	)	)	PUNCT
ejpam-5898	54	37	+	+	NUM
ejpam-5898	54	38	γt2(υ	γt2(υ	PROPN
ejpam-5898	54	39	)	)	PUNCT
ejpam-5898	54	40	)	)	PUNCT
ejpam-5898	55	1	=	=	SYM
ejpam-5898	55	2	βh(t1(υ	βh(t1(υ	PROPN
ejpam-5898	55	3	)	)	PUNCT
ejpam-5898	55	4	)	)	PUNCT
ejpam-5898	56	1	+	+	PUNCT
ejpam-5898	56	2	γh(t2(υ	γh(t2(υ	NUM
ejpam-5898	56	3	)	)	PUNCT
ejpam-5898	56	4	)	)	PUNCT
ejpam-5898	57	1	(	(	PUNCT
ejpam-5898	57	2	6	6	X
ejpam-5898	57	3	)	)	PUNCT
ejpam-5898	57	4	h(υβ	h(υβ	NOUN
ejpam-5898	57	5	)	)	PUNCT
ejpam-5898	58	1	=	=	SYM
ejpam-5898	59	1	γ(β	γ(β	PROPN
ejpam-5898	60	1	+	+	CCONJ
ejpam-5898	61	1	1	1	NUM
ejpam-5898	61	2	)	)	PUNCT
ejpam-5898	61	3	(	(	PUNCT
ejpam-5898	61	4	µ	µ	X
ejpam-5898	61	5	λ	λ	NOUN
ejpam-5898	61	6	)	)	PUNCT
ejpam-5898	61	7	β+1	β+1	SYM
ejpam-5898	61	8	(	(	PUNCT
ejpam-5898	61	9	7	7	NUM
ejpam-5898	61	10	)	)	PUNCT
ejpam-5898	61	11	h(eγυ	h(eγυ	NOUN
ejpam-5898	61	12	)	)	PUNCT
ejpam-5898	61	13	=	=	SYM
ejpam-5898	62	1	µ	µ	X
ejpam-5898	62	2	λ−	λ−	PROPN
ejpam-5898	62	3	γµ	γµ	PROPN
ejpam-5898	62	4	(	(	PUNCT
ejpam-5898	62	5	8)	8)	NUM
ejpam-5898	62	6	h(t′(υ	h(t′(υ	PROPN
ejpam-5898	62	7	)	)	PUNCT
ejpam-5898	62	8	)	)	PUNCT
ejpam-5898	63	1	=	=	PUNCT
ejpam-5898	63	2	λ	λ	X
ejpam-5898	63	3	µ	µ	X
ejpam-5898	63	4	t	t	PROPN
ejpam-5898	63	5	(	(	PUNCT
ejpam-5898	63	6	λ	λ	PROPN
ejpam-5898	63	7	,	,	PUNCT
ejpam-5898	63	8	µ)−	µ)−	NOUN
ejpam-5898	63	9	t(0	t(0	PROPN
ejpam-5898	63	10	)	)	PUNCT
ejpam-5898	63	11	(	(	PUNCT
ejpam-5898	63	12	9	9	X
ejpam-5898	63	13	)	)	PUNCT
ejpam-5898	63	14	h(t′′(υ	h(t′′(υ	PROPN
ejpam-5898	63	15	)	)	PUNCT
ejpam-5898	63	16	)	)	PUNCT
ejpam-5898	64	1	=	=	SYM
ejpam-5898	64	2	λ2	λ2	NOUN
ejpam-5898	64	3	µ2	µ2	PROPN
ejpam-5898	64	4	t	t	PROPN
ejpam-5898	64	5	(	(	PUNCT
ejpam-5898	64	6	λ	λ	PROPN
ejpam-5898	64	7	,	,	PUNCT
ejpam-5898	64	8	µ)−	µ)−	NOUN
ejpam-5898	64	9	λ	λ	PROPN
ejpam-5898	64	10	µ	µ	X
ejpam-5898	64	11	t(0)−	t(0)−	NUM
ejpam-5898	64	12	t′(0	t′(0	NOUN
ejpam-5898	64	13	)	)	PUNCT
ejpam-5898	64	14	.	.	PUNCT
ejpam-5898	65	1	(	(	PUNCT
ejpam-5898	65	2	10	10	NUM
ejpam-5898	65	3	)	)	PUNCT
ejpam-5898	65	4	3	3	NUM
ejpam-5898	65	5	.	.	PUNCT
ejpam-5898	66	1	the	the	DET
ejpam-5898	66	2	double	double	ADJ
ejpam-5898	66	3	sumudu	sumudu	NOUN
ejpam-5898	66	4	-	-	PUNCT
ejpam-5898	66	5	shehu	shehu	NOUN
ejpam-5898	66	6	transform	transform	VERB
ejpam-5898	66	7	this	this	DET
ejpam-5898	66	8	section	section	NOUN
ejpam-5898	66	9	introduces	introduce	NOUN
ejpam-5898	66	10	dsht	dsht	ADV
ejpam-5898	66	11	,	,	PUNCT
ejpam-5898	66	12	a	a	DET
ejpam-5898	66	13	novel	novel	ADJ
ejpam-5898	66	14	mathematical	mathematical	ADJ
ejpam-5898	66	15	tool	tool	NOUN
ejpam-5898	66	16	combining	combine	VERB
ejpam-5898	66	17	the	the	DET
ejpam-5898	66	18	sumudu	sumudu	NOUN
ejpam-5898	66	19	and	and	CCONJ
ejpam-5898	66	20	shehu	shehu	NOUN
ejpam-5898	66	21	transforms	transform	VERB
ejpam-5898	66	22	.	.	PUNCT
ejpam-5898	67	1	it	it	PRON
ejpam-5898	67	2	outlines	outline	VERB
ejpam-5898	67	3	its	its	PRON
ejpam-5898	67	4	core	core	NOUN
ejpam-5898	67	5	properties	property	NOUN
ejpam-5898	67	6	linearity	linearity	NOUN
ejpam-5898	67	7	,	,	PUNCT
ejpam-5898	67	8	invertibility	invertibility	NOUN
ejpam-5898	67	9	,	,	PUNCT
ejpam-5898	67	10	and	and	CCONJ
ejpam-5898	67	11	behavior	behavior	NOUN
ejpam-5898	67	12	with	with	ADP
ejpam-5898	67	13	partial	partial	ADJ
ejpam-5898	67	14	derivatives	derivative	NOUN
ejpam-5898	67	15	and	and	CCONJ
ejpam-5898	67	16	establishes	establish	VERB
ejpam-5898	67	17	a	a	DET
ejpam-5898	67	18	dedicated	dedicated	ADJ
ejpam-5898	67	19	convolution	convolution	NOUN
ejpam-5898	67	20	theorem	theorem	VERB
ejpam-5898	67	21	.	.	PUNCT
ejpam-5898	68	1	practical	practical	ADJ
ejpam-5898	68	2	examples	example	NOUN
ejpam-5898	68	3	demonstrate	demonstrate	VERB
ejpam-5898	68	4	its	its	PRON
ejpam-5898	68	5	application	application	NOUN
ejpam-5898	68	6	to	to	ADP
ejpam-5898	68	7	fundamental	fundamental	ADJ
ejpam-5898	68	8	functions	function	NOUN
ejpam-5898	68	9	.	.	PUNCT
ejpam-5898	69	1	m.	m.	NOUN
ejpam-5898	69	2	al	al	PROPN
ejpam-5898	69	3	-	-	PUNCT
ejpam-5898	69	4	momani	momani	X
ejpam-5898	69	5	et	et	PROPN
ejpam-5898	69	6	al	al	PROPN
ejpam-5898	69	7	.	.	PUNCT
ejpam-5898	69	8	/	/	SYM
ejpam-5898	69	9	eur	eur	PROPN
ejpam-5898	69	10	.	.	PUNCT
ejpam-5898	70	1	j.	j.	PROPN
ejpam-5898	70	2	pure	pure	PROPN
ejpam-5898	70	3	appl	appl	PROPN
ejpam-5898	70	4	.	.	PROPN
ejpam-5898	70	5	math	math	PROPN
ejpam-5898	70	6	,	,	PUNCT
ejpam-5898	70	7	18	18	NUM
ejpam-5898	70	8	(	(	PUNCT
ejpam-5898	70	9	2	2	NUM
ejpam-5898	70	10	)	)	PUNCT
ejpam-5898	70	11	(	(	PUNCT
ejpam-5898	70	12	2025	2025	NUM
ejpam-5898	70	13	)	)	PUNCT
ejpam-5898	70	14	,	,	PUNCT
ejpam-5898	70	15	5898	5898	NUM
ejpam-5898	70	16	4	4	NUM
ejpam-5898	70	17	of	of	ADP
ejpam-5898	70	18	18	18	NUM
ejpam-5898	70	19	the	the	DET
ejpam-5898	70	20	dsht	dsht	ADJ
ejpam-5898	70	21	transform	transform	NOUN
ejpam-5898	70	22	is	be	AUX
ejpam-5898	70	23	defined	define	VERB
ejpam-5898	70	24	as	as	SCONJ
ejpam-5898	70	25	follows	follow	VERB
ejpam-5898	70	26	:	:	PUNCT
ejpam-5898	70	27	q(κ	q(κ	PROPN
ejpam-5898	70	28	,	,	PUNCT
ejpam-5898	70	29	λ	λ	PROPN
ejpam-5898	70	30	,	,	PUNCT
ejpam-5898	70	31	µ	µ	NOUN
ejpam-5898	70	32	)	)	PUNCT
ejpam-5898	70	33	=	=	SYM
ejpam-5898	70	34	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	70	35	,	,	PUNCT
ejpam-5898	70	36	υ	υ	NOUN
ejpam-5898	70	37	)	)	PUNCT
ejpam-5898	70	38	)	)	PUNCT
ejpam-5898	71	1	=	=	SYM
ejpam-5898	72	1	1	1	NUM
ejpam-5898	72	2	κ	κ	X
ejpam-5898	72	3	∞∫	∞∫	PROPN
ejpam-5898	72	4	0	0	NUM
ejpam-5898	73	1	∞∫	∞∫	NOUN
ejpam-5898	73	2	0	0	PUNCT
ejpam-5898	74	1	e	e	X
ejpam-5898	74	2	−	−	PROPN
ejpam-5898	74	3	τ	τ	PROPN
ejpam-5898	74	4	κ	κ	PROPN
ejpam-5898	74	5	−λυ	−λυ	PROPN
ejpam-5898	74	6	µ	µ	PROPN
ejpam-5898	74	7	q(τ	q(τ	VERB
ejpam-5898	74	8	,	,	PUNCT
ejpam-5898	74	9	υ	υ	NOUN
ejpam-5898	74	10	)	)	PUNCT
ejpam-5898	74	11	dτdυ	dτdυ	NOUN
ejpam-5898	74	12	,	,	PUNCT
ejpam-5898	74	13	(	(	PUNCT
ejpam-5898	74	14	11	11	NUM
ejpam-5898	74	15	)	)	PUNCT
ejpam-5898	74	16	where	where	SCONJ
ejpam-5898	74	17	q(τ	q(τ	VERB
ejpam-5898	74	18	,	,	PUNCT
ejpam-5898	74	19	υ	υ	NOUN
ejpam-5898	74	20	)	)	PUNCT
ejpam-5898	74	21	is	be	AUX
ejpam-5898	74	22	a	a	DET
ejpam-5898	74	23	continuous	continuous	ADJ
ejpam-5898	74	24	function	function	NOUN
ejpam-5898	74	25	on	on	ADP
ejpam-5898	74	26	(	(	PUNCT
ejpam-5898	74	27	0,∞)×	0,∞)×	NUM
ejpam-5898	74	28	(	(	PUNCT
ejpam-5898	74	29	0,∞	0,∞	NUM
ejpam-5898	74	30	)	)	PUNCT
ejpam-5898	74	31	.	.	PUNCT
ejpam-5898	75	1	if	if	SCONJ
ejpam-5898	75	2	q(τ	q(τ	VERB
ejpam-5898	75	3	,	,	PUNCT
ejpam-5898	75	4	υ	υ	NOUN
ejpam-5898	75	5	)	)	PUNCT
ejpam-5898	75	6	can	can	AUX
ejpam-5898	75	7	be	be	AUX
ejpam-5898	75	8	written	write	VERB
ejpam-5898	75	9	as	as	ADP
ejpam-5898	75	10	q(τ	q(τ	PROPN
ejpam-5898	75	11	,	,	PUNCT
ejpam-5898	75	12	υ	υ	NOUN
ejpam-5898	75	13	)	)	PUNCT
ejpam-5898	75	14	=	=	PUNCT
ejpam-5898	75	15	w(τ)z(υ	w(τ)z(υ	NOUN
ejpam-5898	75	16	)	)	PUNCT
ejpam-5898	75	17	for	for	ADP
ejpam-5898	75	18	some	some	DET
ejpam-5898	75	19	continuous	continuous	ADJ
ejpam-5898	75	20	functions	function	NOUN
ejpam-5898	75	21	w	w	PROPN
ejpam-5898	75	22	and	and	CCONJ
ejpam-5898	75	23	z	z	NOUN
ejpam-5898	75	24	,	,	PUNCT
ejpam-5898	75	25	then	then	ADV
ejpam-5898	75	26	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	75	27	,	,	PUNCT
ejpam-5898	75	28	υ	υ	NOUN
ejpam-5898	75	29	)	)	PUNCT
ejpam-5898	75	30	)	)	PUNCT
ejpam-5898	76	1	=	=	SYM
ejpam-5898	76	2	s(w(τ))h(z(υ	s(w(τ))h(z(υ	PROPN
ejpam-5898	76	3	)	)	PUNCT
ejpam-5898	76	4	)	)	PUNCT
ejpam-5898	76	5	.	.	PUNCT
ejpam-5898	77	1	in	in	ADP
ejpam-5898	77	2	fact	fact	NOUN
ejpam-5898	77	3	sτhυ(q(τ	sτhυ(q(τ	ADP
ejpam-5898	77	4	,	,	PUNCT
ejpam-5898	77	5	υ	υ	NOUN
ejpam-5898	77	6	)	)	PUNCT
ejpam-5898	77	7	)	)	PUNCT
ejpam-5898	78	1	=	=	PUNCT
ejpam-5898	78	2	sτhυ(w(τ)z(υ	sτhυ(w(τ)z(υ	ADJ
ejpam-5898	78	3	)	)	PUNCT
ejpam-5898	78	4	)	)	PUNCT
ejpam-5898	79	1	=	=	SYM
ejpam-5898	80	1	1	1	NUM
ejpam-5898	80	2	κ	κ	X
ejpam-5898	80	3	∞∫	∞∫	PROPN
ejpam-5898	80	4	0	0	NUM
ejpam-5898	81	1	∞∫	∞∫	NOUN
ejpam-5898	81	2	0	0	PUNCT
ejpam-5898	82	1	e	e	X
ejpam-5898	82	2	−	−	PROPN
ejpam-5898	82	3	τ	τ	PROPN
ejpam-5898	82	4	κ	κ	PROPN
ejpam-5898	82	5	−λυ	−λυ	PROPN
ejpam-5898	82	6	µ	µ	NOUN
ejpam-5898	82	7	w(τ)z(υ)dτdυ	w(τ)z(υ)dτdυ	NOUN
ejpam-5898	82	8	=	=	SYM
ejpam-5898	82	9	1	1	PROPN
ejpam-5898	82	10	κ	κ	PROPN
ejpam-5898	82	11	∞∫	∞∫	PROPN
ejpam-5898	82	12	0	0	NUM
ejpam-5898	83	1	e−	e−	PROPN
ejpam-5898	83	2	τ	τ	X
ejpam-5898	83	3	κw(τ)dτ	κw(τ)dτ	VERB
ejpam-5898	83	4	∞∫	∞∫	PRON
ejpam-5898	83	5	0	0	PUNCT
ejpam-5898	84	1	e	e	NOUN
ejpam-5898	84	2	−λυ	−λυ	PROPN
ejpam-5898	84	3	µ	µ	X
ejpam-5898	84	4	z(υ)dυ	z(υ)dυ	NUM
ejpam-5898	84	5			PROPN
ejpam-5898	84	6	=	=	SYM
ejpam-5898	84	7	s(w(τ))h(z(υ	s(w(τ))h(z(υ	PROPN
ejpam-5898	84	8	)	)	PUNCT
ejpam-5898	84	9	)	)	PUNCT
ejpam-5898	84	10	.	.	PUNCT
ejpam-5898	85	1	3.1	3.1	NUM
ejpam-5898	85	2	.	.	PUNCT
ejpam-5898	86	1	the	the	DET
ejpam-5898	86	2	dsht	dsht	NOUN
ejpam-5898	86	3	for	for	ADP
ejpam-5898	86	4	some	some	DET
ejpam-5898	86	5	basic	basic	ADJ
ejpam-5898	86	6	functions	function	NOUN
ejpam-5898	86	7	(	(	PUNCT
ejpam-5898	86	8	i	i	NOUN
ejpam-5898	86	9	)	)	PUNCT
ejpam-5898	86	10	sτhυ(1	sτhυ(1	PROPN
ejpam-5898	86	11	)	)	PUNCT
ejpam-5898	86	12	=	=	SYM
ejpam-5898	86	13	1	1	NUM
ejpam-5898	86	14	κ	κ	X
ejpam-5898	86	15	∞∫	∞∫	PROPN
ejpam-5898	86	16	0	0	NUM
ejpam-5898	87	1	∞∫	∞∫	NOUN
ejpam-5898	87	2	0	0	PUNCT
ejpam-5898	88	1	e	e	X
ejpam-5898	88	2	−	−	PROPN
ejpam-5898	88	3	τ	τ	PROPN
ejpam-5898	88	4	κ	κ	PROPN
ejpam-5898	88	5	−λυ	−λυ	PROPN
ejpam-5898	88	6	µ	µ	PRON
ejpam-5898	88	7	dτdυ	dτdυ	NOUN
ejpam-5898	88	8	=	=	SYM
ejpam-5898	88	9	1	1	PROPN
ejpam-5898	88	10	κ	κ	PROPN
ejpam-5898	88	11	∞∫	∞∫	PROPN
ejpam-5898	88	12	0	0	NUM
ejpam-5898	89	1	e−	e−	PROPN
ejpam-5898	89	2	τ	τ	PROPN
ejpam-5898	89	3	κ	κ	ADP
ejpam-5898	89	4	∞∫	∞∫	PRON
ejpam-5898	89	5	0	0	PUNCT
ejpam-5898	90	1	e	e	NOUN
ejpam-5898	90	2	−λυ	−λυ	PROPN
ejpam-5898	90	3	µ	µ	PRON
ejpam-5898	90	4	dυ	dυ	NOUN
ejpam-5898	90	5			PROPN
ejpam-5898	90	6	=	=	SYM
ejpam-5898	90	7	1×	1×	PROPN
ejpam-5898	90	8	µ	µ	PROPN
ejpam-5898	90	9	λ	λ	X
ejpam-5898	90	10	=	=	SYM
ejpam-5898	90	11	µ	µ	PRON
ejpam-5898	90	12	λ	λ	X
ejpam-5898	90	13	,	,	PUNCT
ejpam-5898	90	14	re(κ	re(κ	NOUN
ejpam-5898	90	15	)	)	PUNCT
ejpam-5898	90	16	>	>	X
ejpam-5898	90	17	0	0	X
ejpam-5898	90	18	.	.	PUNCT
ejpam-5898	90	19	(	(	PUNCT
ejpam-5898	90	20	ii	ii	NOUN
ejpam-5898	90	21	)	)	PUNCT
ejpam-5898	90	22	sτhυ(τ	sτhυ(τ	PROPN
ejpam-5898	90	23	βυγ	βυγ	NOUN
ejpam-5898	90	24	)	)	PUNCT
ejpam-5898	90	25	=	=	SYM
ejpam-5898	91	1	1	1	NUM
ejpam-5898	91	2	κ	κ	X
ejpam-5898	91	3	∞∫	∞∫	PROPN
ejpam-5898	91	4	0	0	NUM
ejpam-5898	92	1	∞∫	∞∫	NOUN
ejpam-5898	92	2	0	0	PUNCT
ejpam-5898	93	1	e	e	X
ejpam-5898	93	2	−	−	PROPN
ejpam-5898	93	3	τ	τ	PROPN
ejpam-5898	93	4	κ	κ	PROPN
ejpam-5898	93	5	−λυ	−λυ	PROPN
ejpam-5898	93	6	µ	µ	X
ejpam-5898	93	7	τβυγdτdυ	τβυγdτdυ	NOUN
ejpam-5898	93	8	=	=	SYM
ejpam-5898	93	9	1	1	PROPN
ejpam-5898	93	10	κ	κ	PROPN
ejpam-5898	93	11	∞∫	∞∫	PROPN
ejpam-5898	93	12	0	0	NUM
ejpam-5898	93	13	τβe−	τβe−	PROPN
ejpam-5898	93	14	τ	τ	PUNCT
ejpam-5898	93	15	κdτ	κdτ	NOUN
ejpam-5898	93	16			PUNCT
ejpam-5898	93	17	∞∫	∞∫	PROPN
ejpam-5898	93	18	0	0	NUM
ejpam-5898	93	19	υγe	υγe	VERB
ejpam-5898	93	20	−λυ	−λυ	PROPN
ejpam-5898	93	21	µ	µ	NOUN
ejpam-5898	93	22	dυ	dυ	NOUN
ejpam-5898	93	23			PROPN
ejpam-5898	93	24	=	=	SYM
ejpam-5898	94	1	γ(β	γ(β	PROPN
ejpam-5898	94	2	+	+	CCONJ
ejpam-5898	94	3	1)κβ	1)κβ	NUM
ejpam-5898	94	4	×	×	NOUN
ejpam-5898	94	5	γ(γ	γ(γ	PROPN
ejpam-5898	94	6	+	+	CCONJ
ejpam-5898	94	7	1	1	X
ejpam-5898	94	8	)	)	PUNCT
ejpam-5898	94	9	(	(	PUNCT
ejpam-5898	94	10	µ	µ	X
ejpam-5898	94	11	λ	λ	NOUN
ejpam-5898	94	12	)	)	PUNCT
ejpam-5898	94	13	γ+1	γ+1	X
ejpam-5898	95	1	=	=	PUNCT
ejpam-5898	95	2	κβµγ+1	κβµγ+1	PROPN
ejpam-5898	95	3	λγ+1	λγ+1	NUM
ejpam-5898	95	4	γ(β	γ(β	PROPN
ejpam-5898	95	5	+	+	CCONJ
ejpam-5898	95	6	1)γ(γ	1)γ(γ	NUM
ejpam-5898	95	7	+	+	CCONJ
ejpam-5898	95	8	1	1	NUM
ejpam-5898	95	9	)	)	PUNCT
ejpam-5898	95	10	,	,	PUNCT
ejpam-5898	95	11	re(κ	re(κ	NOUN
ejpam-5898	95	12	)	)	PUNCT
ejpam-5898	95	13	>	>	X
ejpam-5898	95	14	0	0	PUNCT
ejpam-5898	95	15	and	and	CCONJ
ejpam-5898	95	16	re(β	re(β	PROPN
ejpam-5898	95	17	)	)	PUNCT
ejpam-5898	95	18	>	>	PUNCT
ejpam-5898	95	19	−1	−1	NOUN
ejpam-5898	95	20	.	.	PUNCT
ejpam-5898	96	1	m.	m.	PROPN
ejpam-5898	96	2	al	al	PROPN
ejpam-5898	96	3	-	-	PUNCT
ejpam-5898	96	4	momani	momani	X
ejpam-5898	96	5	et	et	PROPN
ejpam-5898	96	6	al	al	PROPN
ejpam-5898	96	7	.	.	PUNCT
ejpam-5898	96	8	/	/	SYM
ejpam-5898	96	9	eur	eur	PROPN
ejpam-5898	96	10	.	.	PUNCT
ejpam-5898	97	1	j.	j.	PROPN
ejpam-5898	97	2	pure	pure	PROPN
ejpam-5898	97	3	appl	appl	PROPN
ejpam-5898	97	4	.	.	PROPN
ejpam-5898	97	5	math	math	PROPN
ejpam-5898	97	6	,	,	PUNCT
ejpam-5898	97	7	18	18	NUM
ejpam-5898	97	8	(	(	PUNCT
ejpam-5898	97	9	2	2	NUM
ejpam-5898	97	10	)	)	PUNCT
ejpam-5898	97	11	(	(	PUNCT
ejpam-5898	97	12	2025	2025	NUM
ejpam-5898	97	13	)	)	PUNCT
ejpam-5898	97	14	,	,	PUNCT
ejpam-5898	97	15	5898	5898	NUM
ejpam-5898	97	16	5	5	NUM
ejpam-5898	97	17	of	of	ADP
ejpam-5898	97	18	18	18	NUM
ejpam-5898	97	19	(	(	PUNCT
ejpam-5898	97	20	iii	iii	NOUN
ejpam-5898	97	21	)	)	PUNCT
ejpam-5898	97	22	sτhυ(e	sτhυ(e	NOUN
ejpam-5898	97	23	βτ+γυ	βτ+γυ	NOUN
ejpam-5898	97	24	)	)	PUNCT
ejpam-5898	97	25	=	=	SYM
ejpam-5898	98	1	1	1	NUM
ejpam-5898	98	2	κ	κ	X
ejpam-5898	99	1	∞∫	∞∫	PROPN
ejpam-5898	99	2	0	0	NUM
ejpam-5898	99	3	∞∫	∞∫	NOUN
ejpam-5898	99	4	0	0	PUNCT
ejpam-5898	100	1	e	e	X
ejpam-5898	100	2	−	−	PROPN
ejpam-5898	100	3	τ	τ	PROPN
ejpam-5898	100	4	κ	κ	PROPN
ejpam-5898	100	5	−λυ	−λυ	PROPN
ejpam-5898	100	6	µ	µ	X
ejpam-5898	100	7	eβτ+γυdτdυ	eβτ+γυdτdυ	NOUN
ejpam-5898	100	8	=	=	SYM
ejpam-5898	100	9	1	1	PROPN
ejpam-5898	100	10	κ	κ	PROPN
ejpam-5898	100	11	∞∫	∞∫	PROPN
ejpam-5898	100	12	0	0	PUNCT
ejpam-5898	101	1	eβτ−	eβτ−	PROPN
ejpam-5898	101	2	τ	τ	PROPN
ejpam-5898	101	3	κdτ	κdτ	VERB
ejpam-5898	101	4	∞∫	∞∫	PRON
ejpam-5898	101	5	0	0	PUNCT
ejpam-5898	102	1	e	e	X
ejpam-5898	102	2	γυ−λυ	γυ−λυ	PROPN
ejpam-5898	102	3	µ	µ	X
ejpam-5898	102	4	dυ	dυ	NOUN
ejpam-5898	102	5			PROPN
ejpam-5898	102	6	=	=	SYM
ejpam-5898	103	1	1	1	NUM
ejpam-5898	103	2	1−	1−	NUM
ejpam-5898	103	3	κβ	κβ	PROPN
ejpam-5898	103	4	×	×	PROPN
ejpam-5898	103	5	µ	µ	X
ejpam-5898	103	6	λ−	λ−	PROPN
ejpam-5898	103	7	γµ	γµ	PROPN
ejpam-5898	103	8	=	=	SYM
ejpam-5898	103	9	µ	µ	X
ejpam-5898	103	10	(	(	PUNCT
ejpam-5898	103	11	1−	1−	NUM
ejpam-5898	103	12	κβ	κβ	NOUN
ejpam-5898	103	13	)	)	PUNCT
ejpam-5898	103	14	(	(	PUNCT
ejpam-5898	103	15	λ−	λ−	PROPN
ejpam-5898	103	16	γµ	γµ	PROPN
ejpam-5898	103	17	)	)	PUNCT
ejpam-5898	103	18	,	,	PUNCT
ejpam-5898	103	19	re	re	ADP
ejpam-5898	103	20	(	(	PUNCT
ejpam-5898	103	21	1	1	NUM
ejpam-5898	103	22	κ	κ	NOUN
ejpam-5898	103	23	)	)	PUNCT
ejpam-5898	103	24	>	>	PUNCT
ejpam-5898	103	25	re(β	re(β	X
ejpam-5898	103	26	)	)	PUNCT
ejpam-5898	103	27	.	.	PUNCT
ejpam-5898	104	1	3.2	3.2	NUM
ejpam-5898	104	2	.	.	PUNCT
ejpam-5898	105	1	existence	existence	NOUN
ejpam-5898	105	2	condition	condition	NOUN
ejpam-5898	105	3	for	for	ADP
ejpam-5898	105	4	the	the	DET
ejpam-5898	105	5	dsht	dsht	PROPN
ejpam-5898	105	6	definition	definition	NOUN
ejpam-5898	105	7	3	3	NUM
ejpam-5898	105	8	.	.	PUNCT
ejpam-5898	106	1	a	a	DET
ejpam-5898	106	2	function	function	NOUN
ejpam-5898	106	3	q(τ	q(τ	VERB
ejpam-5898	106	4	,	,	PUNCT
ejpam-5898	106	5	υ	υ	NOUN
ejpam-5898	106	6	)	)	PUNCT
ejpam-5898	106	7	is	be	AUX
ejpam-5898	106	8	said	say	VERB
ejpam-5898	106	9	to	to	PART
ejpam-5898	106	10	be	be	AUX
ejpam-5898	106	11	of	of	ADP
ejpam-5898	106	12	exponential	exponential	ADJ
ejpam-5898	106	13	orders	order	NOUN
ejpam-5898	106	14	β	β	X
ejpam-5898	106	15	and	and	CCONJ
ejpam-5898	106	16	γ	γ	X
ejpam-5898	106	17	on	on	ADP
ejpam-5898	106	18	0	0	NUM
ejpam-5898	106	19	≤	≤	NUM
ejpam-5898	107	1	τ	τ	X
ejpam-5898	107	2	<	<	X
ejpam-5898	107	3	∞	∞	PROPN
ejpam-5898	107	4	and	and	CCONJ
ejpam-5898	107	5	0	0	NUM
ejpam-5898	107	6	≤	≤	NUM
ejpam-5898	107	7	υ	υ	ADP
ejpam-5898	107	8	<	<	X
ejpam-5898	107	9	∞.	∞.	PROPN
ejpam-5898	107	10	if	if	SCONJ
ejpam-5898	107	11	there	there	PRON
ejpam-5898	107	12	exist	exist	VERB
ejpam-5898	107	13	b	b	NUM
ejpam-5898	107	14	,	,	PUNCT
ejpam-5898	107	15	x	x	PROPN
ejpam-5898	107	16	,	,	PUNCT
ejpam-5898	107	17	y	y	PROPN
ejpam-5898	107	18	>	>	X
ejpam-5898	107	19	0	0	NUM
ejpam-5898	108	1	such	such	ADJ
ejpam-5898	108	2	that	that	SCONJ
ejpam-5898	108	3	|q(τ	|q(τ	PROPN
ejpam-5898	108	4	,	,	PUNCT
ejpam-5898	108	5	υ)|	υ)|	ADJ
ejpam-5898	108	6	≤	≤	NOUN
ejpam-5898	108	7	beβτ+γυ	beβτ+γυ	NUM
ejpam-5898	108	8	,	,	PUNCT
ejpam-5898	108	9	for	for	ADP
ejpam-5898	108	10	all	all	PRON
ejpam-5898	108	11	τ	τ	PROPN
ejpam-5898	108	12	>	>	X
ejpam-5898	108	13	x	x	PROPN
ejpam-5898	108	14	,	,	PUNCT
ejpam-5898	108	15	υ	υ	PROPN
ejpam-5898	108	16	>	>	X
ejpam-5898	108	17	y.	y.	PROPN
ejpam-5898	108	18	theorem	theorem	VERB
ejpam-5898	108	19	1	1	X
ejpam-5898	108	20	.	.	PUNCT
ejpam-5898	109	1	let	let	AUX
ejpam-5898	109	2	q(τ	q(τ	VERB
ejpam-5898	109	3	,	,	PUNCT
ejpam-5898	109	4	υ	υ	NOUN
ejpam-5898	109	5	)	)	PUNCT
ejpam-5898	109	6	be	be	VERB
ejpam-5898	109	7	a	a	DET
ejpam-5898	109	8	continuous	continuous	ADJ
ejpam-5898	109	9	function	function	NOUN
ejpam-5898	109	10	on	on	ADP
ejpam-5898	109	11	the	the	DET
ejpam-5898	109	12	region	region	NOUN
ejpam-5898	110	1	[	[	X
ejpam-5898	110	2	0,∞	0,∞	NOUN
ejpam-5898	110	3	)	)	PUNCT
ejpam-5898	110	4	×	×	NOUN
ejpam-5898	111	1	[	[	X
ejpam-5898	111	2	0,∞	0,∞	NOUN
ejpam-5898	111	3	)	)	PUNCT
ejpam-5898	111	4	of	of	ADP
ejpam-5898	111	5	exponential	exponential	ADJ
ejpam-5898	111	6	orders	order	NOUN
ejpam-5898	111	7	β	β	X
ejpam-5898	111	8	and	and	CCONJ
ejpam-5898	111	9	γ	γ	PROPN
ejpam-5898	111	10	.	.	PROPN
ejpam-5898	111	11	then	then	ADV
ejpam-5898	111	12	q(κ	q(κ	PROPN
ejpam-5898	111	13	,	,	PUNCT
ejpam-5898	111	14	λ	λ	PROPN
ejpam-5898	111	15	,	,	PUNCT
ejpam-5898	111	16	µ	µ	NOUN
ejpam-5898	111	17	)	)	PUNCT
ejpam-5898	111	18	exists	exist	VERB
ejpam-5898	111	19	for	for	ADP
ejpam-5898	111	20	κ	κ	NOUN
ejpam-5898	111	21	,	,	PUNCT
ejpam-5898	111	22	λ	λ	PROPN
ejpam-5898	111	23	and	and	CCONJ
ejpam-5898	111	24	µ	µ	NOUN
ejpam-5898	111	25	whenever	whenever	SCONJ
ejpam-5898	111	26	re	re	VERB
ejpam-5898	111	27	(	(	PUNCT
ejpam-5898	111	28	1κ	1κ	NUM
ejpam-5898	111	29	)	)	PUNCT
ejpam-5898	111	30	>	>	PUNCT
ejpam-5898	111	31	β	β	X
ejpam-5898	111	32	and	and	CCONJ
ejpam-5898	111	33	re	re	PROPN
ejpam-5898	111	34	(	(	PUNCT
ejpam-5898	111	35	λ	λ	X
ejpam-5898	111	36	µ	µ	X
ejpam-5898	111	37	)	)	PUNCT
ejpam-5898	111	38	>	>	X
ejpam-5898	111	39	γ	γ	X
ejpam-5898	111	40	.	.	PUNCT
ejpam-5898	111	41	proof	proof	NOUN
ejpam-5898	111	42	.	.	PUNCT
ejpam-5898	112	1	|q(κ	|q(κ	PROPN
ejpam-5898	112	2	,	,	PUNCT
ejpam-5898	112	3	λ	λ	PROPN
ejpam-5898	112	4	,	,	PUNCT
ejpam-5898	112	5	µ)|	µ)|	NOUN
ejpam-5898	112	6	=	=	SYM
ejpam-5898	112	7	∣∣∣∣∣∣1κ	∣∣∣∣∣∣1κ	PROPN
ejpam-5898	112	8	∞∫	∞∫	PROPN
ejpam-5898	112	9	0	0	NUM
ejpam-5898	113	1	∞∫	∞∫	NOUN
ejpam-5898	113	2	0	0	PUNCT
ejpam-5898	114	1	e	e	X
ejpam-5898	114	2	−	−	PROPN
ejpam-5898	114	3	τ	τ	PROPN
ejpam-5898	114	4	κ	κ	PROPN
ejpam-5898	114	5	−λυ	−λυ	PROPN
ejpam-5898	114	6	µ	µ	PROPN
ejpam-5898	114	7	q(τ	q(τ	VERB
ejpam-5898	114	8	,	,	PUNCT
ejpam-5898	114	9	υ	υ	NOUN
ejpam-5898	114	10	)	)	PUNCT
ejpam-5898	114	11	dτdυ	dτdυ	NOUN
ejpam-5898	114	12	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-5898	114	13	≤	≤	NUM
ejpam-5898	114	14	1	1	NUM
ejpam-5898	114	15	κ	κ	ADP
ejpam-5898	114	16	∞∫	∞∫	PROPN
ejpam-5898	114	17	0	0	NUM
ejpam-5898	115	1	∞∫	∞∫	NOUN
ejpam-5898	115	2	0	0	PUNCT
ejpam-5898	116	1	e	e	X
ejpam-5898	116	2	−	−	PROPN
ejpam-5898	116	3	τ	τ	PROPN
ejpam-5898	116	4	κ	κ	PROPN
ejpam-5898	116	5	−λυ	−λυ	PROPN
ejpam-5898	116	6	µ	µ	PROPN
ejpam-5898	116	7	|q(τ	|q(τ	PROPN
ejpam-5898	116	8	,	,	PUNCT
ejpam-5898	116	9	υ)|	υ)|	ADV
ejpam-5898	116	10	dτdυ	dτdυ	VERB
ejpam-5898	116	11	≤	≤	SYM
ejpam-5898	116	12	b	b	PROPN
ejpam-5898	116	13	κ	κ	X
ejpam-5898	116	14	∞∫	∞∫	PROPN
ejpam-5898	116	15	0	0	NUM
ejpam-5898	117	1	∞∫	∞∫	NOUN
ejpam-5898	117	2	0	0	PUNCT
ejpam-5898	118	1	e	e	X
ejpam-5898	118	2	−	−	PROPN
ejpam-5898	119	1	τ	τ	PROPN
ejpam-5898	119	2	κ	κ	PROPN
ejpam-5898	119	3	−λυ	−λυ	PROPN
ejpam-5898	119	4	µ	µ	X
ejpam-5898	119	5	eβτ+γυdτdυ	eβτ+γυdτdυ	NOUN
ejpam-5898	119	6	=	=	SYM
ejpam-5898	119	7	b	b	PROPN
ejpam-5898	119	8	κ	κ	PROPN
ejpam-5898	119	9	∞∫	∞∫	PROPN
ejpam-5898	119	10	0	0	PUNCT
ejpam-5898	120	1	e−	e−	PROPN
ejpam-5898	120	2	(	(	PUNCT
ejpam-5898	120	3	1	1	NUM
ejpam-5898	120	4	κ	κ	NOUN
ejpam-5898	120	5	−β)τdτ	−β)τdτ	NOUN
ejpam-5898	120	6	∞∫	∞∫	NOUN
ejpam-5898	120	7	0	0	PUNCT
ejpam-5898	120	8	e	e	NOUN
ejpam-5898	120	9	−(λ	−(λ	VERB
ejpam-5898	120	10	µ	µ	DET
ejpam-5898	120	11	−γ)υ	−γ)υ	ADJ
ejpam-5898	120	12	dυ	dυ	NOUN
ejpam-5898	120	13	=	=	SYM
ejpam-5898	120	14	b	b	PROPN
ejpam-5898	120	15	κ	κ	X
ejpam-5898	120	16	(	(	PUNCT
ejpam-5898	120	17	1κ	1κ	NUM
ejpam-5898	120	18	−	−	NOUN
ejpam-5898	120	19	β)(λµ	β)(λµ	SYM
ejpam-5898	120	20	−	−	PROPN
ejpam-5898	120	21	γ	γ	X
ejpam-5898	120	22	)	)	PUNCT
ejpam-5898	120	23	=	=	SYM
ejpam-5898	120	24	bµ	bµ	PROPN
ejpam-5898	120	25	(	(	PUNCT
ejpam-5898	120	26	1−	1−	NUM
ejpam-5898	120	27	κβ)(λ−	κβ)(λ−	PROPN
ejpam-5898	120	28	γ	γ	X
ejpam-5898	120	29	µ	µ	NOUN
ejpam-5898	120	30	)	)	PUNCT
ejpam-5898	120	31	where	where	SCONJ
ejpam-5898	120	32	re	re	VERB
ejpam-5898	120	33	(	(	PUNCT
ejpam-5898	120	34	1κ	1κ	NUM
ejpam-5898	120	35	)	)	PUNCT
ejpam-5898	120	36	>	>	PUNCT
ejpam-5898	120	37	β	β	X
ejpam-5898	120	38	and	and	CCONJ
ejpam-5898	120	39	re	re	PROPN
ejpam-5898	120	40	(	(	PUNCT
ejpam-5898	120	41	λ	λ	X
ejpam-5898	120	42	µ	µ	X
ejpam-5898	120	43	)	)	PUNCT
ejpam-5898	120	44	>	>	X
ejpam-5898	120	45	γ	γ	X
ejpam-5898	120	46	.	.	PROPN
ejpam-5898	120	47	3.3	3.3	NUM
ejpam-5898	120	48	.	.	PUNCT
ejpam-5898	121	1	linearity	linearity	VERB
ejpam-5898	121	2	the	the	DET
ejpam-5898	121	3	transform	transform	NOUN
ejpam-5898	121	4	sτhυ(q(τ	sτhυ(q(τ	ADP
ejpam-5898	121	5	,	,	PUNCT
ejpam-5898	121	6	υ	υ	NOUN
ejpam-5898	121	7	)	)	PUNCT
ejpam-5898	121	8	)	)	PUNCT
ejpam-5898	121	9	exhibits	exhibit	VERB
ejpam-5898	121	10	linearity	linearity	NOUN
ejpam-5898	121	11	.	.	PUNCT
ejpam-5898	122	1	for	for	ADP
ejpam-5898	122	2	any	any	DET
ejpam-5898	122	3	nonzero	nonzero	NOUN
ejpam-5898	122	4	constants	constant	NOUN
ejpam-5898	122	5	β	β	X
ejpam-5898	122	6	and	and	CCONJ
ejpam-5898	122	7	γ	γ	X
ejpam-5898	122	8	,	,	PUNCT
ejpam-5898	122	9	this	this	DET
ejpam-5898	122	10	property	property	NOUN
ejpam-5898	122	11	is	be	AUX
ejpam-5898	122	12	expressed	express	VERB
ejpam-5898	122	13	as	as	ADP
ejpam-5898	122	14	:	:	PUNCT
ejpam-5898	122	15	sτhυ(βq1(τ	sτhυ(βq1(τ	NOUN
ejpam-5898	122	16	,	,	PUNCT
ejpam-5898	122	17	υ)+γq2(τ	υ)+γq2(τ	PROPN
ejpam-5898	122	18	,	,	PUNCT
ejpam-5898	122	19	υ	υ	NOUN
ejpam-5898	122	20	)	)	PUNCT
ejpam-5898	122	21	)	)	PUNCT
ejpam-5898	122	22	m.	m.	NOUN
ejpam-5898	122	23	al	al	PROPN
ejpam-5898	122	24	-	-	PUNCT
ejpam-5898	122	25	momani	momani	X
ejpam-5898	122	26	et	et	PROPN
ejpam-5898	122	27	al	al	PROPN
ejpam-5898	122	28	.	.	PUNCT
ejpam-5898	122	29	/	/	SYM
ejpam-5898	122	30	eur	eur	PROPN
ejpam-5898	122	31	.	.	PUNCT
ejpam-5898	123	1	j.	j.	PROPN
ejpam-5898	123	2	pure	pure	PROPN
ejpam-5898	123	3	appl	appl	PROPN
ejpam-5898	123	4	.	.	PROPN
ejpam-5898	123	5	math	math	PROPN
ejpam-5898	123	6	,	,	PUNCT
ejpam-5898	123	7	18	18	NUM
ejpam-5898	123	8	(	(	PUNCT
ejpam-5898	123	9	2	2	NUM
ejpam-5898	123	10	)	)	PUNCT
ejpam-5898	123	11	(	(	PUNCT
ejpam-5898	123	12	2025	2025	NUM
ejpam-5898	123	13	)	)	PUNCT
ejpam-5898	123	14	,	,	PUNCT
ejpam-5898	123	15	5898	5898	NUM
ejpam-5898	123	16	6	6	NUM
ejpam-5898	123	17	of	of	ADP
ejpam-5898	123	18	18	18	NUM
ejpam-5898	123	19	=	=	SYM
ejpam-5898	123	20	1	1	NUM
ejpam-5898	123	21	κ	κ	NOUN
ejpam-5898	123	22	∞∫	∞∫	PROPN
ejpam-5898	123	23	0	0	NUM
ejpam-5898	124	1	∞∫	∞∫	NOUN
ejpam-5898	124	2	0	0	PUNCT
ejpam-5898	125	1	e	e	X
ejpam-5898	125	2	−	−	PROPN
ejpam-5898	125	3	τ	τ	PROPN
ejpam-5898	125	4	κ	κ	PROPN
ejpam-5898	125	5	−λυ	−λυ	PROPN
ejpam-5898	125	6	µ	µ	X
ejpam-5898	125	7	(	(	PUNCT
ejpam-5898	125	8	βq1(τ	βq1(τ	PROPN
ejpam-5898	125	9	,	,	PUNCT
ejpam-5898	125	10	υ	υ	NOUN
ejpam-5898	125	11	)	)	PUNCT
ejpam-5898	125	12	+	+	CCONJ
ejpam-5898	125	13	γq2(τ	γq2(τ	PROPN
ejpam-5898	125	14	,	,	PUNCT
ejpam-5898	125	15	υ	υ	NOUN
ejpam-5898	125	16	)	)	PUNCT
ejpam-5898	125	17	)	)	PUNCT
ejpam-5898	125	18	dτdυ	dτdυ	NOUN
ejpam-5898	125	19	,	,	PUNCT
ejpam-5898	125	20	=	=	SYM
ejpam-5898	125	21	β	β	X
ejpam-5898	125	22	×	×	NOUN
ejpam-5898	125	23	1	1	NUM
ejpam-5898	125	24	κ	κ	ADP
ejpam-5898	125	25	∞∫	∞∫	PROPN
ejpam-5898	125	26	0	0	NUM
ejpam-5898	126	1	∞∫	∞∫	NOUN
ejpam-5898	126	2	0	0	PUNCT
ejpam-5898	127	1	e	e	X
ejpam-5898	127	2	−	−	PROPN
ejpam-5898	127	3	τ	τ	PROPN
ejpam-5898	127	4	κ	κ	PROPN
ejpam-5898	127	5	−λυ	−λυ	PROPN
ejpam-5898	127	6	µ	µ	PROPN
ejpam-5898	127	7	q1(τ	q1(τ	PROPN
ejpam-5898	127	8	,	,	PUNCT
ejpam-5898	127	9	υ	υ	NOUN
ejpam-5898	127	10	)	)	PUNCT
ejpam-5898	127	11	dτdυ	dτdυ	NOUN
ejpam-5898	127	12	+	+	CCONJ
ejpam-5898	127	13	γ	γ	X
ejpam-5898	127	14	×	×	PROPN
ejpam-5898	127	15	1	1	NUM
ejpam-5898	127	16	κ	κ	ADP
ejpam-5898	127	17	∞∫	∞∫	PROPN
ejpam-5898	127	18	0	0	NUM
ejpam-5898	128	1	∞∫	∞∫	NOUN
ejpam-5898	128	2	0	0	PUNCT
ejpam-5898	129	1	e	e	X
ejpam-5898	129	2	−	−	PROPN
ejpam-5898	129	3	τ	τ	PROPN
ejpam-5898	129	4	κ	κ	PROPN
ejpam-5898	129	5	−λυ	−λυ	PROPN
ejpam-5898	129	6	µ	µ	PROPN
ejpam-5898	129	7	q2(τ	q2(τ	PROPN
ejpam-5898	129	8	,	,	PUNCT
ejpam-5898	129	9	υ	υ	NOUN
ejpam-5898	129	10	)	)	PUNCT
ejpam-5898	129	11	dτdυ	dτdυ	NOUN
ejpam-5898	129	12	=	=	SYM
ejpam-5898	129	13	βsτhυ(q1(τ	βsτhυ(q1(τ	PROPN
ejpam-5898	129	14	,	,	PUNCT
ejpam-5898	129	15	υ	υ	NOUN
ejpam-5898	129	16	)	)	PUNCT
ejpam-5898	129	17	)	)	PUNCT
ejpam-5898	130	1	+	+	CCONJ
ejpam-5898	130	2	γsτhυ(q2(τ	γsτhυ(q2(τ	PROPN
ejpam-5898	130	3	,	,	PUNCT
ejpam-5898	130	4	υ	υ	NOUN
ejpam-5898	130	5	)	)	PUNCT
ejpam-5898	130	6	)	)	PUNCT
ejpam-5898	130	7	.	.	PUNCT
ejpam-5898	131	1	4	4	X
ejpam-5898	131	2	.	.	X
ejpam-5898	131	3	properties	property	NOUN
ejpam-5898	131	4	of	of	ADP
ejpam-5898	131	5	the	the	DET
ejpam-5898	131	6	dsht	dsht	NOUN
ejpam-5898	131	7	in	in	ADP
ejpam-5898	131	8	this	this	DET
ejpam-5898	131	9	section	section	NOUN
ejpam-5898	131	10	,	,	PUNCT
ejpam-5898	131	11	we	we	PRON
ejpam-5898	131	12	explore	explore	VERB
ejpam-5898	131	13	the	the	DET
ejpam-5898	131	14	fundamental	fundamental	ADJ
ejpam-5898	131	15	properties	property	NOUN
ejpam-5898	131	16	of	of	ADP
ejpam-5898	131	17	the	the	DET
ejpam-5898	131	18	dsht	dsht	PROPN
ejpam-5898	131	19	4.1	4.1	NUM
ejpam-5898	131	20	.	.	PUNCT
ejpam-5898	132	1	derivatives	derivative	NOUN
ejpam-5898	132	2	properties	property	NOUN
ejpam-5898	132	3	let	let	VERB
ejpam-5898	132	4	q(κ	q(κ	PROPN
ejpam-5898	132	5	,	,	PUNCT
ejpam-5898	132	6	λ	λ	PROPN
ejpam-5898	132	7	,	,	PUNCT
ejpam-5898	132	8	µ	µ	NOUN
ejpam-5898	132	9	)	)	PUNCT
ejpam-5898	132	10	=	=	SYM
ejpam-5898	132	11	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	132	12	,	,	PUNCT
ejpam-5898	132	13	υ	υ	NOUN
ejpam-5898	132	14	)	)	PUNCT
ejpam-5898	132	15	)	)	PUNCT
ejpam-5898	132	16	.	.	PUNCT
ejpam-5898	133	1	then	then	ADV
ejpam-5898	133	2	(	(	PUNCT
ejpam-5898	133	3	i	i	NOUN
ejpam-5898	133	4	)	)	PUNCT
ejpam-5898	133	5	sτhυ	sτhυ	PROPN
ejpam-5898	133	6	(	(	PUNCT
ejpam-5898	133	7	∂q(τ	∂q(τ	PROPN
ejpam-5898	133	8	,	,	PUNCT
ejpam-5898	133	9	υ	υ	NOUN
ejpam-5898	133	10	)	)	PUNCT
ejpam-5898	133	11	∂τ	∂τ	PROPN
ejpam-5898	133	12	)	)	PUNCT
ejpam-5898	133	13	=	=	SYM
ejpam-5898	133	14	q(κ	q(κ	PROPN
ejpam-5898	133	15	,	,	PUNCT
ejpam-5898	133	16	λ	λ	PROPN
ejpam-5898	133	17	,	,	PUNCT
ejpam-5898	133	18	µ	µ	NOUN
ejpam-5898	133	19	)	)	PUNCT
ejpam-5898	133	20	κ	κ	NOUN
ejpam-5898	133	21	−	−	PROPN
ejpam-5898	133	22	h(q(0	h(q(0	PROPN
ejpam-5898	133	23	,	,	PUNCT
ejpam-5898	133	24	υ	υ	NOUN
ejpam-5898	133	25	)	)	PUNCT
ejpam-5898	133	26	)	)	PUNCT
ejpam-5898	133	27	κ	κ	PROPN
ejpam-5898	133	28	(	(	PUNCT
ejpam-5898	133	29	12	12	NUM
ejpam-5898	133	30	)	)	PUNCT
ejpam-5898	133	31	(	(	PUNCT
ejpam-5898	133	32	ii	ii	NOUN
ejpam-5898	133	33	)	)	PUNCT
ejpam-5898	133	34	sτhυ	sτhυ	PROPN
ejpam-5898	133	35	(	(	PUNCT
ejpam-5898	133	36	∂2q(τ	∂2q(τ	X
ejpam-5898	133	37	,	,	PUNCT
ejpam-5898	133	38	υ	υ	NOUN
ejpam-5898	133	39	)	)	PUNCT
ejpam-5898	133	40	∂τ2	∂τ2	PROPN
ejpam-5898	133	41	)	)	PUNCT
ejpam-5898	134	1	=	=	SYM
ejpam-5898	134	2	q(κ	q(κ	PROPN
ejpam-5898	134	3	,	,	PUNCT
ejpam-5898	134	4	λ	λ	PROPN
ejpam-5898	134	5	,	,	PUNCT
ejpam-5898	134	6	µ	µ	NOUN
ejpam-5898	134	7	)	)	PUNCT
ejpam-5898	134	8	κ2	κ2	NOUN
ejpam-5898	134	9	−	−	PROPN
ejpam-5898	134	10	h(q(0	h(q(0	PROPN
ejpam-5898	134	11	,	,	PUNCT
ejpam-5898	134	12	υ	υ	NOUN
ejpam-5898	134	13	)	)	PUNCT
ejpam-5898	134	14	)	)	PUNCT
ejpam-5898	134	15	κ2	κ2	NOUN
ejpam-5898	134	16	−	−	PROPN
ejpam-5898	134	17	h(qτ	h(qτ	PROPN
ejpam-5898	134	18	(	(	PUNCT
ejpam-5898	134	19	0	0	NUM
ejpam-5898	134	20	,	,	PUNCT
ejpam-5898	134	21	υ	υ	NOUN
ejpam-5898	134	22	)	)	PUNCT
ejpam-5898	134	23	)	)	PUNCT
ejpam-5898	134	24	κ	κ	PROPN
ejpam-5898	134	25	(	(	PUNCT
ejpam-5898	134	26	13	13	NUM
ejpam-5898	134	27	)	)	PUNCT
ejpam-5898	134	28	(	(	PUNCT
ejpam-5898	134	29	iii	iii	X
ejpam-5898	134	30	)	)	PUNCT
ejpam-5898	134	31	sτhυ	sτhυ	PROPN
ejpam-5898	134	32	(	(	PUNCT
ejpam-5898	134	33	∂q(τ	∂q(τ	PROPN
ejpam-5898	134	34	,	,	PUNCT
ejpam-5898	134	35	υ	υ	NOUN
ejpam-5898	134	36	)	)	PUNCT
ejpam-5898	134	37	∂υ	∂υ	PROPN
ejpam-5898	134	38	)	)	PUNCT
ejpam-5898	134	39	=	=	PUNCT
ejpam-5898	135	1	λ	λ	X
ejpam-5898	135	2	µ	µ	X
ejpam-5898	135	3	q(κ	q(κ	PROPN
ejpam-5898	135	4	,	,	PUNCT
ejpam-5898	135	5	λ	λ	PROPN
ejpam-5898	135	6	,	,	PUNCT
ejpam-5898	135	7	µ)−	µ)−	NOUN
ejpam-5898	135	8	s(q(τ	s(q(τ	VERB
ejpam-5898	135	9	,	,	PUNCT
ejpam-5898	135	10	0	0	NUM
ejpam-5898	135	11	)	)	PUNCT
ejpam-5898	135	12	)	)	PUNCT
ejpam-5898	136	1	(	(	PUNCT
ejpam-5898	136	2	14	14	NUM
ejpam-5898	136	3	)	)	PUNCT
ejpam-5898	136	4	(	(	PUNCT
ejpam-5898	136	5	iv	iv	X
ejpam-5898	136	6	)	)	PUNCT
ejpam-5898	136	7	sτhυ	sτhυ	PROPN
ejpam-5898	136	8	(	(	PUNCT
ejpam-5898	136	9	∂2q(τ	∂2q(τ	X
ejpam-5898	136	10	,	,	PUNCT
ejpam-5898	136	11	υ	υ	NOUN
ejpam-5898	136	12	)	)	PUNCT
ejpam-5898	136	13	∂υ2	∂υ2	NOUN
ejpam-5898	136	14	)	)	PUNCT
ejpam-5898	137	1	=	=	SYM
ejpam-5898	137	2	λ2	λ2	PROPN
ejpam-5898	137	3	µ2	µ2	PROPN
ejpam-5898	137	4	q(κ	q(κ	PROPN
ejpam-5898	137	5	,	,	PUNCT
ejpam-5898	137	6	λ	λ	PROPN
ejpam-5898	137	7	,	,	PUNCT
ejpam-5898	137	8	µ)−	µ)−	NOUN
ejpam-5898	137	9	λ	λ	PROPN
ejpam-5898	137	10	µ	µ	PRON
ejpam-5898	137	11	s(q(τ	s(q(τ	NOUN
ejpam-5898	137	12	,	,	PUNCT
ejpam-5898	137	13	0))−	0))−	AUX
ejpam-5898	138	1	s(qυ(τ	s(qυ(τ	X
ejpam-5898	138	2	,	,	PUNCT
ejpam-5898	138	3	0	0	NUM
ejpam-5898	138	4	)	)	PUNCT
ejpam-5898	138	5	)	)	PUNCT
ejpam-5898	138	6	(	(	PUNCT
ejpam-5898	138	7	15	15	NUM
ejpam-5898	138	8	)	)	PUNCT
ejpam-5898	138	9	(	(	PUNCT
ejpam-5898	138	10	v	v	NOUN
ejpam-5898	138	11	)	)	PUNCT
ejpam-5898	138	12	sτhυ	sτhυ	PROPN
ejpam-5898	138	13	(	(	PUNCT
ejpam-5898	138	14	∂2q(τ	∂2q(τ	X
ejpam-5898	138	15	,	,	PUNCT
ejpam-5898	138	16	υ	υ	NOUN
ejpam-5898	138	17	)	)	PUNCT
ejpam-5898	138	18	∂τ∂υ	∂τ∂υ	NOUN
ejpam-5898	138	19	)	)	PUNCT
ejpam-5898	139	1	=	=	PUNCT
ejpam-5898	139	2	λ	λ	X
ejpam-5898	139	3	κµ	κµ	ADP
ejpam-5898	139	4	q(κ	q(κ	PROPN
ejpam-5898	139	5	,	,	PUNCT
ejpam-5898	139	6	λ	λ	PROPN
ejpam-5898	139	7	,	,	PUNCT
ejpam-5898	139	8	µ)−	µ)−	NOUN
ejpam-5898	139	9	1	1	NUM
ejpam-5898	139	10	κ	κ	NOUN
ejpam-5898	139	11	s(q(τ	s(q(τ	PROPN
ejpam-5898	139	12	,	,	PUNCT
ejpam-5898	139	13	0))−	0))−	PUNCT
ejpam-5898	140	1	λ	λ	NOUN
ejpam-5898	140	2	κµ	κµ	ADP
ejpam-5898	140	3	h(q(0	h(q(0	PROPN
ejpam-5898	140	4	,	,	PUNCT
ejpam-5898	140	5	υ	υ	NOUN
ejpam-5898	140	6	)	)	PUNCT
ejpam-5898	140	7	)	)	PUNCT
ejpam-5898	141	1	+	+	CCONJ
ejpam-5898	141	2	1	1	NUM
ejpam-5898	141	3	κ	κ	X
ejpam-5898	141	4	q(0	q(0	PROPN
ejpam-5898	141	5	,	,	PUNCT
ejpam-5898	141	6	0	0	NUM
ejpam-5898	141	7	)	)	PUNCT
ejpam-5898	141	8	(	(	PUNCT
ejpam-5898	141	9	16	16	X
ejpam-5898	141	10	)	)	PUNCT
ejpam-5898	141	11	proof	proof	NOUN
ejpam-5898	141	12	.	.	PUNCT
ejpam-5898	142	1	(	(	PUNCT
ejpam-5898	142	2	1	1	X
ejpam-5898	142	3	)	)	PUNCT
ejpam-5898	142	4	sτhυ	sτhυ	PROPN
ejpam-5898	142	5	(	(	PUNCT
ejpam-5898	142	6	∂q(τ	∂q(τ	PROPN
ejpam-5898	142	7	,	,	PUNCT
ejpam-5898	142	8	υ	υ	NOUN
ejpam-5898	142	9	)	)	PUNCT
ejpam-5898	142	10	∂τ	∂τ	PROPN
ejpam-5898	142	11	)	)	PUNCT
ejpam-5898	142	12	=	=	SYM
ejpam-5898	143	1	1	1	NUM
ejpam-5898	143	2	κ	κ	X
ejpam-5898	143	3	∞∫	∞∫	PROPN
ejpam-5898	143	4	0	0	NUM
ejpam-5898	144	1	∞∫	∞∫	NOUN
ejpam-5898	144	2	0	0	PUNCT
ejpam-5898	145	1	e	e	X
ejpam-5898	145	2	−	−	PROPN
ejpam-5898	145	3	τ	τ	PROPN
ejpam-5898	145	4	κ	κ	PROPN
ejpam-5898	145	5	−λυ	−λυ	PROPN
ejpam-5898	145	6	µ	µ	PROPN
ejpam-5898	145	7	∂q(τ	∂q(τ	PROPN
ejpam-5898	145	8	,	,	PUNCT
ejpam-5898	145	9	υ	υ	NOUN
ejpam-5898	145	10	)	)	PUNCT
ejpam-5898	145	11	∂τ	∂τ	NOUN
ejpam-5898	145	12	dτdυ	dτdυ	NOUN
ejpam-5898	145	13	=	=	SYM
ejpam-5898	145	14	1	1	NUM
ejpam-5898	145	15	κ	κ	X
ejpam-5898	145	16	∞∫	∞∫	PROPN
ejpam-5898	145	17	0	0	PUNCT
ejpam-5898	146	1	e	e	PROPN
ejpam-5898	146	2	−λυ	−λυ	PROPN
ejpam-5898	146	3	µ	µ	PROPN
ejpam-5898	146	4	∞∫	∞∫	PROPN
ejpam-5898	146	5	0	0	NUM
ejpam-5898	147	1	e−	e−	PROPN
ejpam-5898	147	2	τ	τ	PROPN
ejpam-5898	147	3	κ	κ	PROPN
ejpam-5898	147	4	∂q(τ	∂q(τ	PROPN
ejpam-5898	147	5	,	,	PUNCT
ejpam-5898	147	6	υ	υ	NOUN
ejpam-5898	147	7	)	)	PUNCT
ejpam-5898	147	8	∂τ	∂τ	NOUN
ejpam-5898	147	9	dτdυ	dτdυ	NOUN
ejpam-5898	147	10	.	.	PUNCT
ejpam-5898	148	1	by	by	ADP
ejpam-5898	148	2	integrating	integrate	VERB
ejpam-5898	148	3	by	by	ADP
ejpam-5898	148	4	parts	part	NOUN
ejpam-5898	148	5	,	,	PUNCT
ejpam-5898	148	6	we	we	PRON
ejpam-5898	148	7	get	get	AUX
ejpam-5898	148	8	sτhυ	sτhυ	VERB
ejpam-5898	148	9	(	(	PUNCT
ejpam-5898	148	10	∂q(τ	∂q(τ	PROPN
ejpam-5898	148	11	,	,	PUNCT
ejpam-5898	148	12	υ	υ	NOUN
ejpam-5898	148	13	)	)	PUNCT
ejpam-5898	148	14	∂τ	∂τ	PROPN
ejpam-5898	148	15	)	)	PUNCT
ejpam-5898	149	1	=	=	SYM
ejpam-5898	149	2	1	1	NUM
ejpam-5898	149	3	κ	κ	X
ejpam-5898	149	4	∞∫	∞∫	PROPN
ejpam-5898	149	5	0	0	PUNCT
ejpam-5898	150	1	e	e	NOUN
ejpam-5898	150	2	−λυ	−λυ	PROPN
ejpam-5898	150	3	µ	µ	X
ejpam-5898	150	4	(	(	PUNCT
ejpam-5898	150	5	−q(0	−q(0	NUM
ejpam-5898	150	6	,	,	PUNCT
ejpam-5898	150	7	υ	υ	NOUN
ejpam-5898	150	8	)	)	PUNCT
ejpam-5898	150	9	+	+	NOUN
ejpam-5898	150	10	1	1	NUM
ejpam-5898	150	11	κ	κ	PRON
ejpam-5898	150	12	∞∫	∞∫	PROPN
ejpam-5898	150	13	0	0	NUM
ejpam-5898	151	1	e−	e−	PROPN
ejpam-5898	151	2	τ	τ	PROPN
ejpam-5898	151	3	κ	κ	NOUN
ejpam-5898	151	4	q(τ	q(τ	PROPN
ejpam-5898	151	5	,	,	PUNCT
ejpam-5898	151	6	υ	υ	NOUN
ejpam-5898	151	7	)	)	PUNCT
ejpam-5898	151	8	dτ	dτ	NOUN
ejpam-5898	151	9	)	)	PUNCT
ejpam-5898	151	10	dυ	dυ	ADP
ejpam-5898	151	11	m.	m.	NOUN
ejpam-5898	151	12	al	al	PROPN
ejpam-5898	151	13	-	-	PUNCT
ejpam-5898	151	14	momani	momani	X
ejpam-5898	152	1	et	et	PROPN
ejpam-5898	152	2	al	al	PROPN
ejpam-5898	152	3	.	.	PUNCT
ejpam-5898	152	4	/	/	SYM
ejpam-5898	152	5	eur	eur	PROPN
ejpam-5898	152	6	.	.	PUNCT
ejpam-5898	153	1	j.	j.	PROPN
ejpam-5898	153	2	pure	pure	PROPN
ejpam-5898	153	3	appl	appl	PROPN
ejpam-5898	153	4	.	.	PROPN
ejpam-5898	153	5	math	math	PROPN
ejpam-5898	153	6	,	,	PUNCT
ejpam-5898	153	7	18	18	NUM
ejpam-5898	153	8	(	(	PUNCT
ejpam-5898	153	9	2	2	NUM
ejpam-5898	153	10	)	)	PUNCT
ejpam-5898	153	11	(	(	PUNCT
ejpam-5898	153	12	2025	2025	NUM
ejpam-5898	153	13	)	)	PUNCT
ejpam-5898	153	14	,	,	PUNCT
ejpam-5898	153	15	5898	5898	NUM
ejpam-5898	153	16	7	7	NUM
ejpam-5898	153	17	of	of	ADP
ejpam-5898	153	18	18	18	NUM
ejpam-5898	153	19	=	=	SYM
ejpam-5898	153	20	−	−	PROPN
ejpam-5898	153	21	1	1	NUM
ejpam-5898	153	22	κ	κ	ADP
ejpam-5898	153	23	∞∫	∞∫	PROPN
ejpam-5898	153	24	0	0	PUNCT
ejpam-5898	154	1	e	e	NOUN
ejpam-5898	154	2	−λυ	−λυ	PROPN
ejpam-5898	154	3	µ	µ	PROPN
ejpam-5898	154	4	q(0	q(0	PROPN
ejpam-5898	154	5	,	,	PUNCT
ejpam-5898	154	6	υ)dυ	υ)dυ	PROPN
ejpam-5898	154	7	+	+	PROPN
ejpam-5898	154	8	1	1	NUM
ejpam-5898	154	9	κ	κ	NOUN
ejpam-5898	154	10	×	×	NOUN
ejpam-5898	154	11	1	1	NUM
ejpam-5898	154	12	κ	κ	ADP
ejpam-5898	154	13	∞∫	∞∫	PROPN
ejpam-5898	154	14	0	0	NUM
ejpam-5898	155	1	∞∫	∞∫	NOUN
ejpam-5898	155	2	0	0	PUNCT
ejpam-5898	156	1	e	e	X
ejpam-5898	156	2	−	−	PROPN
ejpam-5898	156	3	τ	τ	PROPN
ejpam-5898	156	4	κ	κ	PROPN
ejpam-5898	156	5	−λυ	−λυ	PROPN
ejpam-5898	156	6	µ	µ	PROPN
ejpam-5898	156	7	q(τ	q(τ	VERB
ejpam-5898	156	8	,	,	PUNCT
ejpam-5898	156	9	υ	υ	NOUN
ejpam-5898	156	10	)	)	PUNCT
ejpam-5898	156	11	dτdυ	dτdυ	NOUN
ejpam-5898	156	12	=	=	SYM
ejpam-5898	156	13	q(κ	q(κ	PROPN
ejpam-5898	156	14	,	,	PUNCT
ejpam-5898	156	15	λ,µ	λ,µ	PROPN
ejpam-5898	156	16	)	)	PUNCT
ejpam-5898	156	17	κ	κ	ADP
ejpam-5898	156	18	−	−	NOUN
ejpam-5898	156	19	h(q(0,υ	h(q(0,υ	NOUN
ejpam-5898	156	20	)	)	PUNCT
ejpam-5898	156	21	)	)	PUNCT
ejpam-5898	157	1	κ	κ	PROPN
ejpam-5898	157	2	.	.	PUNCT
ejpam-5898	158	1	(	(	PUNCT
ejpam-5898	158	2	2	2	X
ejpam-5898	158	3	)	)	PUNCT
ejpam-5898	158	4	sτhυ	sτhυ	PROPN
ejpam-5898	158	5	(	(	PUNCT
ejpam-5898	158	6	∂2q(τ	∂2q(τ	X
ejpam-5898	158	7	,	,	PUNCT
ejpam-5898	158	8	υ	υ	NOUN
ejpam-5898	158	9	)	)	PUNCT
ejpam-5898	158	10	∂τ2	∂τ2	PROPN
ejpam-5898	158	11	)	)	PUNCT
ejpam-5898	159	1	=	=	SYM
ejpam-5898	160	1	1	1	NUM
ejpam-5898	160	2	κ	κ	X
ejpam-5898	160	3	∞∫	∞∫	PROPN
ejpam-5898	160	4	0	0	NUM
ejpam-5898	161	1	∞∫	∞∫	NOUN
ejpam-5898	161	2	0	0	PUNCT
ejpam-5898	162	1	e	e	X
ejpam-5898	162	2	−	−	PROPN
ejpam-5898	163	1	τ	τ	PROPN
ejpam-5898	163	2	κ	κ	PROPN
ejpam-5898	163	3	−λυ	−λυ	PROPN
ejpam-5898	163	4	µ	µ	PROPN
ejpam-5898	163	5	∂2q(τ	∂2q(τ	X
ejpam-5898	163	6	,	,	PUNCT
ejpam-5898	163	7	υ	υ	NOUN
ejpam-5898	163	8	)	)	PUNCT
ejpam-5898	163	9	∂τ2	∂τ2	PROPN
ejpam-5898	163	10	dτdυ	dτdυ	NOUN
ejpam-5898	163	11	=	=	SYM
ejpam-5898	163	12	1	1	NUM
ejpam-5898	163	13	κ	κ	X
ejpam-5898	163	14	∞∫	∞∫	PROPN
ejpam-5898	163	15	0	0	PUNCT
ejpam-5898	164	1	e	e	PROPN
ejpam-5898	164	2	−λυ	−λυ	PROPN
ejpam-5898	164	3	µ	µ	PROPN
ejpam-5898	164	4	∞∫	∞∫	PROPN
ejpam-5898	164	5	0	0	NUM
ejpam-5898	165	1	e−	e−	PROPN
ejpam-5898	165	2	τ	τ	PROPN
ejpam-5898	165	3	κ	κ	PROPN
ejpam-5898	165	4	∂2q(τ	∂2q(τ	PROPN
ejpam-5898	165	5	,	,	PUNCT
ejpam-5898	165	6	υ	υ	NOUN
ejpam-5898	165	7	)	)	PUNCT
ejpam-5898	165	8	∂τ2	∂τ2	PROPN
ejpam-5898	165	9	dτdυ	dτdυ	NOUN
ejpam-5898	165	10	.	.	PUNCT
ejpam-5898	166	1	by	by	ADP
ejpam-5898	166	2	integrating	integrate	VERB
ejpam-5898	166	3	by	by	ADP
ejpam-5898	166	4	parts	part	NOUN
ejpam-5898	166	5	,	,	PUNCT
ejpam-5898	166	6	we	we	PRON
ejpam-5898	166	7	get	get	AUX
ejpam-5898	166	8	sτhυ	sτhυ	VERB
ejpam-5898	166	9	(	(	PUNCT
ejpam-5898	166	10	∂2q(τ	∂2q(τ	X
ejpam-5898	166	11	,	,	PUNCT
ejpam-5898	166	12	υ	υ	NOUN
ejpam-5898	166	13	)	)	PUNCT
ejpam-5898	166	14	∂τ2	∂τ2	PROPN
ejpam-5898	166	15	)	)	PUNCT
ejpam-5898	167	1	=	=	SYM
ejpam-5898	168	1	1	1	NUM
ejpam-5898	168	2	κ	κ	X
ejpam-5898	168	3	∞∫	∞∫	PROPN
ejpam-5898	168	4	0	0	PUNCT
ejpam-5898	169	1	e	e	NOUN
ejpam-5898	169	2	−λυ	−λυ	PROPN
ejpam-5898	169	3	µ	µ	X
ejpam-5898	169	4	(	(	PUNCT
ejpam-5898	169	5	−qτ	−qτ	PROPN
ejpam-5898	169	6	(	(	PUNCT
ejpam-5898	169	7	0	0	NUM
ejpam-5898	169	8	,	,	PUNCT
ejpam-5898	169	9	υ)−	υ)−	PROPN
ejpam-5898	169	10	1	1	NUM
ejpam-5898	169	11	κq(0	κq(0	PROPN
ejpam-5898	169	12	,	,	PUNCT
ejpam-5898	169	13	υ	υ	NOUN
ejpam-5898	169	14	)	)	PUNCT
ejpam-5898	169	15	+	+	CCONJ
ejpam-5898	169	16	1	1	NUM
ejpam-5898	169	17	κ2	κ2	PROPN
ejpam-5898	169	18	∞∫	∞∫	PROPN
ejpam-5898	169	19	0	0	NUM
ejpam-5898	170	1	e−	e−	PROPN
ejpam-5898	170	2	τ	τ	PROPN
ejpam-5898	170	3	κ	κ	NOUN
ejpam-5898	170	4	q(τ	q(τ	PROPN
ejpam-5898	170	5	,	,	PUNCT
ejpam-5898	170	6	υ)dτ	υ)dτ	PROPN
ejpam-5898	170	7	)	)	PUNCT
ejpam-5898	170	8	dυ	dυ	NOUN
ejpam-5898	170	9	=	=	SYM
ejpam-5898	170	10	−	−	PROPN
ejpam-5898	170	11	1	1	NUM
ejpam-5898	170	12	κ	κ	ADP
ejpam-5898	170	13	∞∫	∞∫	PROPN
ejpam-5898	170	14	0	0	PUNCT
ejpam-5898	171	1	e	e	NOUN
ejpam-5898	171	2	−λυ	−λυ	PROPN
ejpam-5898	171	3	µ	µ	PROPN
ejpam-5898	171	4	qτ	qτ	X
ejpam-5898	171	5	(	(	PUNCT
ejpam-5898	171	6	0	0	NUM
ejpam-5898	171	7	,	,	PUNCT
ejpam-5898	171	8	υ)dυ	υ)dυ	PROPN
ejpam-5898	171	9	−	−	PROPN
ejpam-5898	171	10	1	1	NUM
ejpam-5898	171	11	κ2	κ2	PROPN
ejpam-5898	171	12	∞∫	∞∫	PROPN
ejpam-5898	171	13	0	0	NUM
ejpam-5898	172	1	e	e	NOUN
ejpam-5898	172	2	−λυ	−λυ	PROPN
ejpam-5898	172	3	µ	µ	PROPN
ejpam-5898	172	4	q(0	q(0	PROPN
ejpam-5898	172	5	,	,	PUNCT
ejpam-5898	172	6	υ)dυ	υ)dυ	PROPN
ejpam-5898	172	7	+	+	CCONJ
ejpam-5898	172	8	1	1	NUM
ejpam-5898	172	9	κ2	κ2	NOUN
ejpam-5898	172	10	×	×	NOUN
ejpam-5898	172	11	1	1	NUM
ejpam-5898	172	12	κ	κ	NOUN
ejpam-5898	172	13	∞∫	∞∫	PROPN
ejpam-5898	172	14	0	0	NUM
ejpam-5898	173	1	∞∫	∞∫	NOUN
ejpam-5898	173	2	0	0	PUNCT
ejpam-5898	174	1	e	e	X
ejpam-5898	174	2	−	−	PROPN
ejpam-5898	174	3	τ	τ	PROPN
ejpam-5898	174	4	κ	κ	PROPN
ejpam-5898	174	5	−λυ	−λυ	PROPN
ejpam-5898	174	6	µ	µ	X
ejpam-5898	174	7	q(τ	q(τ	ADJ
ejpam-5898	174	8	,	,	PUNCT
ejpam-5898	174	9	υ)dτdυ	υ)dτdυ	NOUN
ejpam-5898	174	10	=	=	SYM
ejpam-5898	174	11	q(κ	q(κ	PROPN
ejpam-5898	174	12	,	,	PUNCT
ejpam-5898	174	13	λ,µ	λ,µ	NOUN
ejpam-5898	174	14	)	)	PUNCT
ejpam-5898	174	15	κ2	κ2	PROPN
ejpam-5898	174	16	−	−	PROPN
ejpam-5898	174	17	h(q(0,υ	h(q(0,υ	NOUN
ejpam-5898	174	18	)	)	PUNCT
ejpam-5898	174	19	)	)	PUNCT
ejpam-5898	174	20	κ2	κ2	NOUN
ejpam-5898	174	21	−	−	PROPN
ejpam-5898	174	22	h(qτ	h(qτ	PROPN
ejpam-5898	174	23	(	(	PUNCT
ejpam-5898	174	24	0,υ	0,υ	NUM
ejpam-5898	174	25	)	)	PUNCT
ejpam-5898	174	26	)	)	PUNCT
ejpam-5898	174	27	κ	κ	PROPN
ejpam-5898	174	28	.	.	PUNCT
ejpam-5898	175	1	(	(	PUNCT
ejpam-5898	175	2	3	3	X
ejpam-5898	175	3	)	)	PUNCT
ejpam-5898	175	4	sτhυ	sτhυ	PROPN
ejpam-5898	175	5	(	(	PUNCT
ejpam-5898	175	6	∂q(τ	∂q(τ	PROPN
ejpam-5898	175	7	,	,	PUNCT
ejpam-5898	175	8	υ	υ	NOUN
ejpam-5898	175	9	)	)	PUNCT
ejpam-5898	175	10	∂υ	∂υ	PROPN
ejpam-5898	175	11	)	)	PUNCT
ejpam-5898	176	1	=	=	SYM
ejpam-5898	177	1	1	1	NUM
ejpam-5898	177	2	κ	κ	X
ejpam-5898	177	3	∞∫	∞∫	PROPN
ejpam-5898	177	4	0	0	NUM
ejpam-5898	178	1	∞∫	∞∫	NOUN
ejpam-5898	178	2	0	0	PUNCT
ejpam-5898	179	1	e	e	X
ejpam-5898	179	2	−	−	PROPN
ejpam-5898	179	3	τ	τ	PROPN
ejpam-5898	179	4	κ	κ	PROPN
ejpam-5898	179	5	−λυ	−λυ	PROPN
ejpam-5898	179	6	µ	µ	PROPN
ejpam-5898	179	7	∂q(τ	∂q(τ	PROPN
ejpam-5898	179	8	,	,	PUNCT
ejpam-5898	179	9	υ	υ	NOUN
ejpam-5898	179	10	)	)	PUNCT
ejpam-5898	179	11	∂υ	∂υ	NOUN
ejpam-5898	179	12	dτdυ	dτdυ	NOUN
ejpam-5898	179	13	=	=	SYM
ejpam-5898	179	14	1	1	NUM
ejpam-5898	179	15	κ	κ	X
ejpam-5898	179	16	∞∫	∞∫	PROPN
ejpam-5898	179	17	0	0	NUM
ejpam-5898	180	1	e−	e−	PROPN
ejpam-5898	180	2	τ	τ	PROPN
ejpam-5898	180	3	κ	κ	PROPN
ejpam-5898	180	4	∞∫	∞∫	PROPN
ejpam-5898	180	5	0	0	PUNCT
ejpam-5898	181	1	e	e	NOUN
ejpam-5898	181	2	−λυ	−λυ	PROPN
ejpam-5898	181	3	µ	µ	PROPN
ejpam-5898	181	4	∂q(τ	∂q(τ	PROPN
ejpam-5898	181	5	,	,	PUNCT
ejpam-5898	181	6	υ	υ	NOUN
ejpam-5898	181	7	)	)	PUNCT
ejpam-5898	181	8	∂υ	∂υ	NOUN
ejpam-5898	181	9	dυdτ	dυdτ	NOUN
ejpam-5898	181	10	.	.	PUNCT
ejpam-5898	182	1	by	by	ADP
ejpam-5898	182	2	integrating	integrate	VERB
ejpam-5898	182	3	by	by	ADP
ejpam-5898	182	4	parts	part	NOUN
ejpam-5898	182	5	,	,	PUNCT
ejpam-5898	182	6	we	we	PRON
ejpam-5898	182	7	get	get	AUX
ejpam-5898	182	8	sτhυ	sτhυ	VERB
ejpam-5898	182	9	(	(	PUNCT
ejpam-5898	182	10	∂q(τ	∂q(τ	PROPN
ejpam-5898	182	11	,	,	PUNCT
ejpam-5898	182	12	υ	υ	NOUN
ejpam-5898	182	13	)	)	PUNCT
ejpam-5898	182	14	∂υ	∂υ	PROPN
ejpam-5898	182	15	)	)	PUNCT
ejpam-5898	183	1	=	=	SYM
ejpam-5898	184	1	1	1	NUM
ejpam-5898	184	2	κ	κ	X
ejpam-5898	184	3	∞∫	∞∫	PROPN
ejpam-5898	184	4	0	0	NUM
ejpam-5898	185	1	e−	e−	PROPN
ejpam-5898	185	2	τ	τ	PROPN
ejpam-5898	185	3	κ	κ	PROPN
ejpam-5898	185	4	(	(	PUNCT
ejpam-5898	185	5	−q(τ	−q(τ	PROPN
ejpam-5898	185	6	,	,	PUNCT
ejpam-5898	185	7	0	0	NUM
ejpam-5898	185	8	)	)	PUNCT
ejpam-5898	185	9	+	+	NUM
ejpam-5898	185	10	λ	λ	X
ejpam-5898	185	11	µ	µ	PRON
ejpam-5898	185	12	∞∫	∞∫	NOUN
ejpam-5898	185	13	0	0	PUNCT
ejpam-5898	186	1	e	e	NOUN
ejpam-5898	186	2	−λυ	−λυ	PROPN
ejpam-5898	186	3	µ	µ	PROPN
ejpam-5898	186	4	q(τ	q(τ	PROPN
ejpam-5898	186	5	,	,	PUNCT
ejpam-5898	186	6	υ)dυ	υ)dυ	PROPN
ejpam-5898	186	7	)	)	PUNCT
ejpam-5898	186	8	dτ	dτ	NOUN
ejpam-5898	187	1	=	=	SYM
ejpam-5898	187	2	−	−	PROPN
ejpam-5898	187	3	1	1	NUM
ejpam-5898	187	4	κ	κ	PROPN
ejpam-5898	187	5	∞∫	∞∫	PROPN
ejpam-5898	187	6	0	0	NUM
ejpam-5898	188	1	e−	e−	PROPN
ejpam-5898	188	2	τ	τ	PROPN
ejpam-5898	188	3	κ	κ	NOUN
ejpam-5898	188	4	q(τ	q(τ	PROPN
ejpam-5898	188	5	,	,	PUNCT
ejpam-5898	188	6	0)dτ	0)dτ	PROPN
ejpam-5898	189	1	+	+	CCONJ
ejpam-5898	189	2	λ	λ	X
ejpam-5898	189	3	µ	µ	X
ejpam-5898	189	4	×	×	NOUN
ejpam-5898	189	5	1	1	NUM
ejpam-5898	189	6	κ	κ	NOUN
ejpam-5898	189	7	∞∫	∞∫	PROPN
ejpam-5898	189	8	0	0	NUM
ejpam-5898	190	1	∞∫	∞∫	NOUN
ejpam-5898	190	2	0	0	PUNCT
ejpam-5898	191	1	e	e	X
ejpam-5898	191	2	−	−	PROPN
ejpam-5898	191	3	τ	τ	PROPN
ejpam-5898	191	4	κ	κ	PROPN
ejpam-5898	191	5	−λυ	−λυ	PROPN
ejpam-5898	191	6	µ	µ	PROPN
ejpam-5898	191	7	q(τ	q(τ	PROPN
ejpam-5898	191	8	,	,	PUNCT
ejpam-5898	191	9	υ	υ	NOUN
ejpam-5898	191	10	)	)	PUNCT
ejpam-5898	191	11	dυdτ	dυdτ	PROPN
ejpam-5898	191	12	=	=	SYM
ejpam-5898	191	13	λ	λ	PROPN
ejpam-5898	191	14	µq(κ	µq(κ	NUM
ejpam-5898	191	15	,	,	PUNCT
ejpam-5898	191	16	λ	λ	PRON
ejpam-5898	191	17	,	,	PUNCT
ejpam-5898	191	18	µ)−	µ)−	NOUN
ejpam-5898	191	19	s(q(τ	s(q(τ	VERB
ejpam-5898	191	20	,	,	PUNCT
ejpam-5898	191	21	0	0	NUM
ejpam-5898	191	22	)	)	PUNCT
ejpam-5898	191	23	)	)	PUNCT
ejpam-5898	191	24	.	.	PUNCT
ejpam-5898	192	1	(	(	PUNCT
ejpam-5898	192	2	4	4	X
ejpam-5898	192	3	)	)	PUNCT
ejpam-5898	192	4	sτhυ	sτhυ	PROPN
ejpam-5898	192	5	(	(	PUNCT
ejpam-5898	192	6	∂2q(τ	∂2q(τ	X
ejpam-5898	192	7	,	,	PUNCT
ejpam-5898	192	8	υ	υ	NOUN
ejpam-5898	192	9	)	)	PUNCT
ejpam-5898	192	10	∂υ2	∂υ2	NOUN
ejpam-5898	192	11	)	)	PUNCT
ejpam-5898	193	1	=	=	SYM
ejpam-5898	193	2	1	1	NUM
ejpam-5898	193	3	κ	κ	X
ejpam-5898	193	4	∞∫	∞∫	PROPN
ejpam-5898	193	5	0	0	NUM
ejpam-5898	194	1	∞∫	∞∫	NOUN
ejpam-5898	194	2	0	0	PUNCT
ejpam-5898	195	1	e	e	X
ejpam-5898	195	2	−	−	PROPN
ejpam-5898	195	3	τ	τ	PROPN
ejpam-5898	195	4	κ	κ	PROPN
ejpam-5898	195	5	−λυ	−λυ	PROPN
ejpam-5898	195	6	µ	µ	PROPN
ejpam-5898	195	7	∂2q(τ	∂2q(τ	X
ejpam-5898	195	8	,	,	PUNCT
ejpam-5898	195	9	υ	υ	NOUN
ejpam-5898	195	10	)	)	PUNCT
ejpam-5898	195	11	∂υ2	∂υ2	NOUN
ejpam-5898	195	12	dτdυ	dτdυ	NOUN
ejpam-5898	195	13	=	=	SYM
ejpam-5898	195	14	1	1	NUM
ejpam-5898	195	15	κ	κ	X
ejpam-5898	195	16	∞∫	∞∫	PROPN
ejpam-5898	195	17	0	0	NUM
ejpam-5898	196	1	e−	e−	PROPN
ejpam-5898	196	2	τ	τ	PROPN
ejpam-5898	196	3	κ	κ	PROPN
ejpam-5898	196	4	∞∫	∞∫	PROPN
ejpam-5898	196	5	0	0	PUNCT
ejpam-5898	197	1	e	e	NOUN
ejpam-5898	197	2	−λυ	−λυ	PROPN
ejpam-5898	197	3	µ	µ	PROPN
ejpam-5898	197	4	∂2q(τ	∂2q(τ	X
ejpam-5898	197	5	,	,	PUNCT
ejpam-5898	197	6	υ	υ	NOUN
ejpam-5898	197	7	)	)	PUNCT
ejpam-5898	197	8	∂υ2	∂υ2	NOUN
ejpam-5898	197	9	dυdτ	dυdτ	PROPN
ejpam-5898	197	10	.	.	PUNCT
ejpam-5898	198	1	by	by	ADP
ejpam-5898	198	2	integrating	integrate	VERB
ejpam-5898	198	3	by	by	ADP
ejpam-5898	198	4	parts	part	NOUN
ejpam-5898	198	5	,	,	PUNCT
ejpam-5898	198	6	we	we	PRON
ejpam-5898	198	7	get	get	AUX
ejpam-5898	198	8	sτhυ	sτhυ	VERB
ejpam-5898	198	9	(	(	PUNCT
ejpam-5898	198	10	∂2q(τ	∂2q(τ	X
ejpam-5898	198	11	,	,	PUNCT
ejpam-5898	198	12	υ	υ	NOUN
ejpam-5898	198	13	)	)	PUNCT
ejpam-5898	198	14	∂υ2	∂υ2	NOUN
ejpam-5898	198	15	)	)	PUNCT
ejpam-5898	198	16	=	=	SYM
ejpam-5898	198	17	1	1	NUM
ejpam-5898	198	18	κ	κ	X
ejpam-5898	198	19	∞∫	∞∫	PROPN
ejpam-5898	198	20	0	0	NUM
ejpam-5898	199	1	e−	e−	PROPN
ejpam-5898	199	2	τ	τ	PROPN
ejpam-5898	199	3	κ	κ	PROPN
ejpam-5898	199	4	(	(	PUNCT
ejpam-5898	199	5	−qυ(τ	−qυ(τ	PROPN
ejpam-5898	199	6	,	,	PUNCT
ejpam-5898	199	7	0)−	0)−	PUNCT
ejpam-5898	199	8	λ	λ	NOUN
ejpam-5898	199	9	µq(τ	µq(τ	X
ejpam-5898	199	10	,	,	PUNCT
ejpam-5898	199	11	0	0	NUM
ejpam-5898	199	12	)	)	PUNCT
ejpam-5898	200	1	+	+	NUM
ejpam-5898	200	2	λ2	λ2	PROPN
ejpam-5898	200	3	µ2	µ2	PROPN
ejpam-5898	200	4	∞∫	∞∫	PROPN
ejpam-5898	200	5	0	0	PUNCT
ejpam-5898	201	1	e	e	NOUN
ejpam-5898	201	2	−λυ	−λυ	PROPN
ejpam-5898	201	3	µ	µ	PROPN
ejpam-5898	201	4	q(τ	q(τ	PROPN
ejpam-5898	201	5	,	,	PUNCT
ejpam-5898	201	6	υ)dυ	υ)dυ	PROPN
ejpam-5898	201	7	)	)	PUNCT
ejpam-5898	201	8	dτ	dτ	NOUN
ejpam-5898	202	1	=	=	SYM
ejpam-5898	202	2	−	−	PROPN
ejpam-5898	202	3	1	1	NUM
ejpam-5898	202	4	κ	κ	PROPN
ejpam-5898	202	5	∞∫	∞∫	PROPN
ejpam-5898	202	6	0	0	NUM
ejpam-5898	203	1	e−	e−	PROPN
ejpam-5898	203	2	τ	τ	PROPN
ejpam-5898	203	3	κ	κ	PROPN
ejpam-5898	203	4	qυ(τ	qυ(τ	PROPN
ejpam-5898	203	5	,	,	PUNCT
ejpam-5898	203	6	0)dτ	0)dτ	PROPN
ejpam-5898	203	7	−	−	PROPN
ejpam-5898	203	8	λ	λ	PROPN
ejpam-5898	203	9	µ	µ	X
ejpam-5898	203	10	×	×	NOUN
ejpam-5898	203	11	1	1	NUM
ejpam-5898	203	12	κ	κ	NOUN
ejpam-5898	203	13	∞∫	∞∫	PROPN
ejpam-5898	203	14	0	0	NUM
ejpam-5898	204	1	e−	e−	PROPN
ejpam-5898	204	2	τ	τ	PROPN
ejpam-5898	204	3	κ	κ	NOUN
ejpam-5898	204	4	q(τ	q(τ	PROPN
ejpam-5898	204	5	,	,	PUNCT
ejpam-5898	204	6	0)dτ	0)dτ	PROPN
ejpam-5898	205	1	+	+	NUM
ejpam-5898	205	2	λ2	λ2	NOUN
ejpam-5898	205	3	µ2	µ2	VERB
ejpam-5898	205	4	×	×	NOUN
ejpam-5898	205	5	1	1	NUM
ejpam-5898	205	6	κ	κ	ADP
ejpam-5898	205	7	∞∫	∞∫	PROPN
ejpam-5898	205	8	0	0	NUM
ejpam-5898	206	1	∞∫	∞∫	NOUN
ejpam-5898	206	2	0	0	PUNCT
ejpam-5898	207	1	e	e	X
ejpam-5898	207	2	−	−	PROPN
ejpam-5898	207	3	τ	τ	PROPN
ejpam-5898	207	4	κ	κ	PROPN
ejpam-5898	207	5	−λυ	−λυ	PROPN
ejpam-5898	207	6	µ	µ	PROPN
ejpam-5898	207	7	q(τ	q(τ	PROPN
ejpam-5898	207	8	,	,	PUNCT
ejpam-5898	207	9	υ)dυdτ	υ)dυdτ	PROPN
ejpam-5898	207	10	so	so	ADV
ejpam-5898	207	11	,	,	PUNCT
ejpam-5898	207	12	sτhυ	sτhυ	X
ejpam-5898	207	13	(	(	PUNCT
ejpam-5898	207	14	∂2q(τ	∂2q(τ	X
ejpam-5898	207	15	,	,	PUNCT
ejpam-5898	207	16	υ	υ	NOUN
ejpam-5898	207	17	)	)	PUNCT
ejpam-5898	207	18	∂υ2	∂υ2	NOUN
ejpam-5898	207	19	)	)	PUNCT
ejpam-5898	207	20	=	=	SYM
ejpam-5898	207	21	λ2	λ2	PROPN
ejpam-5898	207	22	µ2q(κ	µ2q(κ	PROPN
ejpam-5898	207	23	,	,	PUNCT
ejpam-5898	207	24	λ	λ	PRON
ejpam-5898	207	25	,	,	PUNCT
ejpam-5898	207	26	µ)−	µ)−	NOUN
ejpam-5898	207	27	λ	λ	NOUN
ejpam-5898	207	28	µs(q(τ	µs(q(τ	NOUN
ejpam-5898	207	29	,	,	PUNCT
ejpam-5898	207	30	0))−	0))−	PUNCT
ejpam-5898	207	31	s(qυ(τ	s(qυ(τ	ADV
ejpam-5898	207	32	,	,	PUNCT
ejpam-5898	207	33	0	0	NUM
ejpam-5898	207	34	)	)	PUNCT
ejpam-5898	207	35	)	)	PUNCT
ejpam-5898	207	36	.	.	PUNCT
ejpam-5898	208	1	(	(	PUNCT
ejpam-5898	208	2	5	5	X
ejpam-5898	208	3	)	)	PUNCT
ejpam-5898	208	4	sτhυ	sτhυ	PROPN
ejpam-5898	208	5	(	(	PUNCT
ejpam-5898	208	6	∂2q(τ	∂2q(τ	X
ejpam-5898	208	7	,	,	PUNCT
ejpam-5898	208	8	υ	υ	NOUN
ejpam-5898	208	9	)	)	PUNCT
ejpam-5898	208	10	∂τ∂υ	∂τ∂υ	NOUN
ejpam-5898	208	11	)	)	PUNCT
ejpam-5898	209	1	=	=	SYM
ejpam-5898	209	2	1	1	NUM
ejpam-5898	209	3	κ	κ	X
ejpam-5898	209	4	∞∫	∞∫	PROPN
ejpam-5898	209	5	0	0	NUM
ejpam-5898	210	1	∞∫	∞∫	NOUN
ejpam-5898	210	2	0	0	PUNCT
ejpam-5898	211	1	e	e	X
ejpam-5898	211	2	−	−	PROPN
ejpam-5898	211	3	τ	τ	PROPN
ejpam-5898	211	4	κ	κ	PROPN
ejpam-5898	211	5	−λυ	−λυ	PROPN
ejpam-5898	211	6	µ	µ	PROPN
ejpam-5898	211	7	∂2q(τ	∂2q(τ	X
ejpam-5898	211	8	,	,	PUNCT
ejpam-5898	211	9	υ	υ	NOUN
ejpam-5898	211	10	)	)	PUNCT
ejpam-5898	211	11	∂τ∂υ	∂τ∂υ	NOUN
ejpam-5898	211	12	dτdυ	dτdυ	NOUN
ejpam-5898	211	13	=	=	SYM
ejpam-5898	211	14	1	1	NUM
ejpam-5898	211	15	κ	κ	X
ejpam-5898	211	16	∞∫	∞∫	PROPN
ejpam-5898	211	17	0	0	PUNCT
ejpam-5898	212	1	e	e	PROPN
ejpam-5898	212	2	−λυ	−λυ	PROPN
ejpam-5898	212	3	µ	µ	PROPN
ejpam-5898	212	4	∞∫	∞∫	PROPN
ejpam-5898	212	5	0	0	NUM
ejpam-5898	213	1	e−	e−	PROPN
ejpam-5898	213	2	τ	τ	PROPN
ejpam-5898	213	3	κ	κ	PROPN
ejpam-5898	213	4	∂2q(τ	∂2q(τ	PROPN
ejpam-5898	213	5	,	,	PUNCT
ejpam-5898	213	6	υ	υ	NOUN
ejpam-5898	213	7	)	)	PUNCT
ejpam-5898	213	8	∂τ∂υ	∂τ∂υ	NOUN
ejpam-5898	213	9	dτdυ	dτdυ	NOUN
ejpam-5898	213	10	by	by	ADP
ejpam-5898	213	11	integrating	integrate	VERB
ejpam-5898	213	12	by	by	ADP
ejpam-5898	213	13	parts	part	NOUN
ejpam-5898	213	14	,	,	PUNCT
ejpam-5898	213	15	we	we	PRON
ejpam-5898	213	16	get	get	VERB
ejpam-5898	213	17	m.	m.	NOUN
ejpam-5898	213	18	al	al	PROPN
ejpam-5898	213	19	-	-	PUNCT
ejpam-5898	213	20	momani	momani	X
ejpam-5898	213	21	et	et	PROPN
ejpam-5898	213	22	al	al	PROPN
ejpam-5898	213	23	.	.	PUNCT
ejpam-5898	213	24	/	/	SYM
ejpam-5898	213	25	eur	eur	PROPN
ejpam-5898	213	26	.	.	PUNCT
ejpam-5898	214	1	j.	j.	PROPN
ejpam-5898	214	2	pure	pure	PROPN
ejpam-5898	214	3	appl	appl	PROPN
ejpam-5898	214	4	.	.	PROPN
ejpam-5898	214	5	math	math	PROPN
ejpam-5898	214	6	,	,	PUNCT
ejpam-5898	214	7	18	18	NUM
ejpam-5898	214	8	(	(	PUNCT
ejpam-5898	214	9	2	2	NUM
ejpam-5898	214	10	)	)	PUNCT
ejpam-5898	214	11	(	(	PUNCT
ejpam-5898	214	12	2025	2025	NUM
ejpam-5898	214	13	)	)	PUNCT
ejpam-5898	214	14	,	,	PUNCT
ejpam-5898	214	15	5898	5898	NUM
ejpam-5898	214	16	8	8	NUM
ejpam-5898	214	17	of	of	ADP
ejpam-5898	214	18	18	18	NUM
ejpam-5898	214	19	sτhυ	sτhυ	VERB
ejpam-5898	214	20	(	(	PUNCT
ejpam-5898	214	21	∂2q(τ	∂2q(τ	X
ejpam-5898	214	22	,	,	PUNCT
ejpam-5898	214	23	υ	υ	NOUN
ejpam-5898	214	24	)	)	PUNCT
ejpam-5898	214	25	∂τ∂υ	∂τ∂υ	NOUN
ejpam-5898	214	26	)	)	PUNCT
ejpam-5898	214	27	=	=	SYM
ejpam-5898	215	1	1	1	NUM
ejpam-5898	215	2	κ	κ	X
ejpam-5898	215	3	∞∫	∞∫	PROPN
ejpam-5898	215	4	0	0	PUNCT
ejpam-5898	216	1	e	e	NOUN
ejpam-5898	216	2	−λυ	−λυ	PROPN
ejpam-5898	216	3	µ	µ	X
ejpam-5898	216	4	(	(	PUNCT
ejpam-5898	216	5	−qυ(0	−qυ(0	PROPN
ejpam-5898	216	6	,	,	PUNCT
ejpam-5898	216	7	υ	υ	NOUN
ejpam-5898	216	8	)	)	PUNCT
ejpam-5898	216	9	+	+	NOUN
ejpam-5898	216	10	1	1	NUM
ejpam-5898	216	11	κ	κ	PRON
ejpam-5898	216	12	∞∫	∞∫	PROPN
ejpam-5898	216	13	0	0	NUM
ejpam-5898	217	1	e−	e−	PROPN
ejpam-5898	217	2	τ	τ	PROPN
ejpam-5898	217	3	κ	κ	PROPN
ejpam-5898	217	4	qυ(τ	qυ(τ	PROPN
ejpam-5898	217	5	,	,	PUNCT
ejpam-5898	217	6	υ	υ	NOUN
ejpam-5898	217	7	)	)	PUNCT
ejpam-5898	217	8	dτ	dτ	NOUN
ejpam-5898	217	9	)	)	PUNCT
ejpam-5898	217	10	dυ	dυ	NOUN
ejpam-5898	217	11	=	=	SYM
ejpam-5898	218	1	−	−	NOUN
ejpam-5898	218	2	∞	∞	NUM
ejpam-5898	218	3	1	1	NUM
ejpam-5898	218	4	κ	κ	NOUN
ejpam-5898	218	5	∫	∫	PROPN
ejpam-5898	218	6	0	0	PUNCT
ejpam-5898	219	1	e	e	PROPN
ejpam-5898	219	2	−λυ	−λυ	PROPN
ejpam-5898	219	3	µ	µ	PROPN
ejpam-5898	219	4	qυ(0	qυ(0	PROPN
ejpam-5898	219	5	,	,	PUNCT
ejpam-5898	219	6	υ)dυ	υ)dυ	PROPN
ejpam-5898	219	7	+	+	PROPN
ejpam-5898	219	8	1	1	NUM
ejpam-5898	219	9	κ	κ	NOUN
ejpam-5898	219	10	×	×	NOUN
ejpam-5898	219	11	1	1	NUM
ejpam-5898	219	12	κ	κ	ADP
ejpam-5898	219	13	∞∫	∞∫	PROPN
ejpam-5898	219	14	0	0	NUM
ejpam-5898	220	1	∞∫	∞∫	NOUN
ejpam-5898	220	2	0	0	PUNCT
ejpam-5898	221	1	e	e	X
ejpam-5898	221	2	−	−	PROPN
ejpam-5898	222	1	τ	τ	PROPN
ejpam-5898	222	2	κ	κ	PROPN
ejpam-5898	222	3	−λυ	−λυ	PROPN
ejpam-5898	222	4	µ	µ	X
ejpam-5898	222	5	qυ(τ	qυ(τ	PUNCT
ejpam-5898	222	6	,	,	PUNCT
ejpam-5898	222	7	υ)dτdυ	υ)dτdυ	PUNCT
ejpam-5898	222	8	=	=	SYM
ejpam-5898	222	9	−	−	PROPN
ejpam-5898	222	10	1	1	NUM
ejpam-5898	222	11	κh(qυ(0	κh(qυ(0	PROPN
ejpam-5898	222	12	,	,	PUNCT
ejpam-5898	222	13	υ	υ	NOUN
ejpam-5898	222	14	)	)	PUNCT
ejpam-5898	222	15	)	)	PUNCT
ejpam-5898	223	1	+	+	CCONJ
ejpam-5898	223	2	1	1	NUM
ejpam-5898	223	3	κsτhυ	κsτhυ	NOUN
ejpam-5898	223	4	(	(	PUNCT
ejpam-5898	223	5	qυ(τ	qυ(τ	PROPN
ejpam-5898	223	6	,	,	PUNCT
ejpam-5898	223	7	υ	υ	NOUN
ejpam-5898	223	8	)	)	PUNCT
ejpam-5898	223	9	)	)	PUNCT
ejpam-5898	223	10	using	use	VERB
ejpam-5898	223	11	equations	equation	NOUN
ejpam-5898	223	12	9	9	NUM
ejpam-5898	223	13	and	and	CCONJ
ejpam-5898	223	14	14	14	NUM
ejpam-5898	223	15	,	,	PUNCT
ejpam-5898	223	16	we	we	PRON
ejpam-5898	223	17	get	get	AUX
ejpam-5898	223	18	sτhυ	sτhυ	VERB
ejpam-5898	223	19	(	(	PUNCT
ejpam-5898	223	20	∂2q(τ	∂2q(τ	X
ejpam-5898	223	21	,	,	PUNCT
ejpam-5898	223	22	υ	υ	NOUN
ejpam-5898	223	23	)	)	PUNCT
ejpam-5898	223	24	∂τ∂υ	∂τ∂υ	NOUN
ejpam-5898	223	25	)	)	PUNCT
ejpam-5898	224	1	=	=	SYM
ejpam-5898	224	2	λ	λ	SYM
ejpam-5898	224	3	κµq(κ	κµq(κ	PROPN
ejpam-5898	224	4	,	,	PUNCT
ejpam-5898	224	5	λ	λ	PRON
ejpam-5898	224	6	,	,	PUNCT
ejpam-5898	224	7	µ)−	µ)−	VERB
ejpam-5898	224	8	1	1	NUM
ejpam-5898	224	9	κs(q(τ	κs(q(τ	NOUN
ejpam-5898	224	10	,	,	PUNCT
ejpam-5898	224	11	0))−	0))−	NUM
ejpam-5898	225	1	λ	λ	X
ejpam-5898	225	2	κµh(q(0	κµh(q(0	PROPN
ejpam-5898	225	3	,	,	PUNCT
ejpam-5898	225	4	υ	υ	NOUN
ejpam-5898	225	5	)	)	PUNCT
ejpam-5898	225	6	)	)	PUNCT
ejpam-5898	226	1	+	+	CCONJ
ejpam-5898	226	2	1	1	NUM
ejpam-5898	226	3	κq(0	κq(0	NOUN
ejpam-5898	226	4	,	,	PUNCT
ejpam-5898	226	5	0	0	NUM
ejpam-5898	226	6	)	)	PUNCT
ejpam-5898	226	7	.	.	PUNCT
ejpam-5898	227	1	4.2	4.2	NUM
ejpam-5898	227	2	.	.	PUNCT
ejpam-5898	228	1	convolution	convolution	NOUN
ejpam-5898	228	2	theorem	theorem	NOUN
ejpam-5898	228	3	of	of	ADP
ejpam-5898	228	4	the	the	DET
ejpam-5898	228	5	dsht	dsht	NOUN
ejpam-5898	228	6	the	the	DET
ejpam-5898	228	7	heaviside	heaviside	ADJ
ejpam-5898	228	8	unit	unit	NOUN
ejpam-5898	228	9	step	step	NOUN
ejpam-5898	228	10	function	function	PROPN
ejpam-5898	228	11	m(τ	m(τ	PROPN
ejpam-5898	228	12	,	,	PUNCT
ejpam-5898	228	13	υ	υ	NOUN
ejpam-5898	228	14	)	)	PUNCT
ejpam-5898	228	15	is	be	AUX
ejpam-5898	228	16	defined	define	VERB
ejpam-5898	228	17	as	as	ADP
ejpam-5898	228	18	m(τ	m(τ	PROPN
ejpam-5898	228	19	−	−	PROPN
ejpam-5898	228	20	β	β	X
ejpam-5898	228	21	,	,	PUNCT
ejpam-5898	228	22	υ	υ	PRON
ejpam-5898	228	23	−	−	PROPN
ejpam-5898	228	24	γ	γ	X
ejpam-5898	228	25	)	)	PUNCT
ejpam-5898	228	26	=	=	NOUN
ejpam-5898	228	27	{	{	PUNCT
ejpam-5898	228	28	1	1	NUM
ejpam-5898	228	29	,	,	PUNCT
ejpam-5898	228	30	τ	τ	PROPN
ejpam-5898	228	31	>	>	X
ejpam-5898	228	32	β	β	X
ejpam-5898	228	33	and	and	CCONJ
ejpam-5898	228	34	υ	υ	ADJ
ejpam-5898	228	35	>	>	X
ejpam-5898	228	36	γ	γ	X
ejpam-5898	228	37	0	0	PROPN
ejpam-5898	228	38	,	,	PUNCT
ejpam-5898	228	39	otherwise	otherwise	ADV
ejpam-5898	228	40	then	then	ADV
ejpam-5898	228	41	we	we	PRON
ejpam-5898	228	42	have	have	VERB
ejpam-5898	228	43	the	the	DET
ejpam-5898	228	44	following	follow	VERB
ejpam-5898	228	45	lemma	lemma	PROPN
ejpam-5898	228	46	lemma	lemma	PROPN
ejpam-5898	228	47	1	1	NUM
ejpam-5898	228	48	.	.	PUNCT
ejpam-5898	228	49	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	229	1	−	−	PROPN
ejpam-5898	229	2	β	β	NOUN
ejpam-5898	229	3	,	,	PUNCT
ejpam-5898	229	4	υ	υ	PROPN
ejpam-5898	229	5	−	−	PROPN
ejpam-5898	229	6	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	229	7	−	−	PROPN
ejpam-5898	229	8	β	β	NOUN
ejpam-5898	229	9	,	,	PUNCT
ejpam-5898	229	10	υ	υ	PRON
ejpam-5898	229	11	−	−	PROPN
ejpam-5898	229	12	γ	γ	NOUN
ejpam-5898	229	13	)	)	PUNCT
ejpam-5898	229	14	)	)	PUNCT
ejpam-5898	229	15	=	=	PUNCT
ejpam-5898	230	1	e	e	X
ejpam-5898	230	2	−β	−β	PROPN
ejpam-5898	230	3	κ	κ	X
ejpam-5898	230	4	−λγ	−λγ	X
ejpam-5898	230	5	µ	µ	X
ejpam-5898	230	6	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	230	7	,	,	PUNCT
ejpam-5898	230	8	υ	υ	NOUN
ejpam-5898	230	9	)	)	PUNCT
ejpam-5898	230	10	proof	proof	NOUN
ejpam-5898	230	11	.	.	PUNCT
ejpam-5898	231	1	we	we	PRON
ejpam-5898	231	2	have	have	VERB
ejpam-5898	231	3	sτhυ(q(τ	sτhυ(q(τ	PUNCT
ejpam-5898	231	4	−	−	NOUN
ejpam-5898	231	5	β	β	NOUN
ejpam-5898	231	6	,	,	PUNCT
ejpam-5898	231	7	υ	υ	PROPN
ejpam-5898	231	8	−	−	PROPN
ejpam-5898	231	9	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	231	10	−	−	PROPN
ejpam-5898	231	11	β	β	NOUN
ejpam-5898	231	12	,	,	PUNCT
ejpam-5898	231	13	υ	υ	PRON
ejpam-5898	231	14	−	−	PROPN
ejpam-5898	231	15	γ	γ	NOUN
ejpam-5898	231	16	)	)	PUNCT
ejpam-5898	231	17	)	)	PUNCT
ejpam-5898	232	1	=	=	SYM
ejpam-5898	233	1	1	1	NUM
ejpam-5898	233	2	κ	κ	X
ejpam-5898	233	3	∞∫	∞∫	PROPN
ejpam-5898	233	4	0	0	NUM
ejpam-5898	234	1	∞∫	∞∫	NOUN
ejpam-5898	234	2	0	0	PUNCT
ejpam-5898	235	1	e	e	X
ejpam-5898	235	2	−	−	PROPN
ejpam-5898	235	3	τ	τ	PROPN
ejpam-5898	235	4	κ	κ	PROPN
ejpam-5898	235	5	−λυ	−λυ	PROPN
ejpam-5898	235	6	µ	µ	PROPN
ejpam-5898	235	7	q(τ	q(τ	PROPN
ejpam-5898	235	8	−	−	PROPN
ejpam-5898	235	9	β	β	NOUN
ejpam-5898	235	10	,	,	PUNCT
ejpam-5898	235	11	υ	υ	PROPN
ejpam-5898	235	12	−	−	PROPN
ejpam-5898	235	13	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	235	14	−	−	PROPN
ejpam-5898	235	15	β	β	NOUN
ejpam-5898	235	16	,	,	PUNCT
ejpam-5898	235	17	υ	υ	PRON
ejpam-5898	235	18	−	−	NOUN
ejpam-5898	235	19	γ)dτdυ	γ)dτdυ	NOUN
ejpam-5898	235	20	=	=	SYM
ejpam-5898	235	21	1	1	NUM
ejpam-5898	235	22	κ	κ	ADP
ejpam-5898	235	23	∞∫	∞∫	PROPN
ejpam-5898	235	24	β	β	PROPN
ejpam-5898	235	25	∞∫	∞∫	PROPN
ejpam-5898	235	26	γ	γ	X
ejpam-5898	235	27	e	e	PROPN
ejpam-5898	235	28	−	−	PROPN
ejpam-5898	235	29	τ	τ	PROPN
ejpam-5898	235	30	κ	κ	PROPN
ejpam-5898	235	31	−λυ	−λυ	PROPN
ejpam-5898	235	32	µ	µ	PROPN
ejpam-5898	235	33	q(τ	q(τ	PROPN
ejpam-5898	235	34	−	−	PROPN
ejpam-5898	235	35	β	β	NOUN
ejpam-5898	235	36	,	,	PUNCT
ejpam-5898	235	37	υ	υ	NOUN
ejpam-5898	235	38	−	−	NOUN
ejpam-5898	235	39	γ)dτdυ	γ)dτdυ	NOUN
ejpam-5898	235	40	.	.	PUNCT
ejpam-5898	236	1	(	(	PUNCT
ejpam-5898	236	2	17	17	NUM
ejpam-5898	236	3	)	)	PUNCT
ejpam-5898	236	4	now	now	ADV
ejpam-5898	236	5	,	,	PUNCT
ejpam-5898	236	6	by	by	ADP
ejpam-5898	236	7	making	make	VERB
ejpam-5898	236	8	the	the	DET
ejpam-5898	236	9	substitution	substitution	NOUN
ejpam-5898	236	10	s	s	PART
ejpam-5898	236	11	=	=	SYM
ejpam-5898	236	12	τ	τ	X
ejpam-5898	236	13	−	−	PROPN
ejpam-5898	236	14	β	β	NOUN
ejpam-5898	236	15	and	and	CCONJ
ejpam-5898	236	16	r	r	NOUN
ejpam-5898	236	17	=	=	SYM
ejpam-5898	236	18	υ	υ	NOUN
ejpam-5898	236	19	−	−	PROPN
ejpam-5898	236	20	γ	γ	PROPN
ejpam-5898	236	21	,	,	PUNCT
ejpam-5898	236	22	equation	equation	NOUN
ejpam-5898	236	23	(	(	PUNCT
ejpam-5898	236	24	17	17	NUM
ejpam-5898	236	25	)	)	PUNCT
ejpam-5898	236	26	becomes	become	VERB
ejpam-5898	236	27	:	:	PUNCT
ejpam-5898	236	28	sτhυ(q(τ	sτhυ(q(τ	PUNCT
ejpam-5898	236	29	−	−	PUNCT
ejpam-5898	236	30	β	β	NOUN
ejpam-5898	236	31	,	,	PUNCT
ejpam-5898	236	32	υ	υ	PROPN
ejpam-5898	236	33	−	−	PROPN
ejpam-5898	236	34	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	236	35	−	−	PROPN
ejpam-5898	236	36	β	β	NOUN
ejpam-5898	236	37	,	,	PUNCT
ejpam-5898	236	38	υ	υ	PRON
ejpam-5898	236	39	−	−	PROPN
ejpam-5898	236	40	γ	γ	NOUN
ejpam-5898	236	41	)	)	PUNCT
ejpam-5898	236	42	)	)	PUNCT
ejpam-5898	236	43	=	=	SYM
ejpam-5898	237	1	1	1	NUM
ejpam-5898	237	2	κ	κ	X
ejpam-5898	237	3	∞∫	∞∫	PROPN
ejpam-5898	237	4	0	0	NUM
ejpam-5898	238	1	∞∫	∞∫	NOUN
ejpam-5898	238	2	0	0	PUNCT
ejpam-5898	239	1	e	e	NOUN
ejpam-5898	239	2	−	−	PROPN
ejpam-5898	239	3	(	(	PUNCT
ejpam-5898	239	4	s+β	s+β	NUM
ejpam-5898	239	5	)	)	PUNCT
ejpam-5898	239	6	κ	κ	X
ejpam-5898	239	7	−λ(r+γ	−λ(r+γ	NOUN
ejpam-5898	239	8	)	)	PUNCT
ejpam-5898	239	9	µ	µ	X
ejpam-5898	239	10	q(s	q(s	NOUN
ejpam-5898	239	11	,	,	PUNCT
ejpam-5898	239	12	r)dsdr	r)dsdr	X
ejpam-5898	239	13	=	=	SYM
ejpam-5898	240	1	e	e	PROPN
ejpam-5898	240	2	−β	−β	PROPN
ejpam-5898	240	3	κ	κ	X
ejpam-5898	240	4	−λγ	−λγ	X
ejpam-5898	240	5	µ	µ	X
ejpam-5898	240	6	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	240	7	,	,	PUNCT
ejpam-5898	240	8	υ	υ	NOUN
ejpam-5898	240	9	)	)	PUNCT
ejpam-5898	240	10	)	)	PUNCT
ejpam-5898	240	11	.	.	PUNCT
ejpam-5898	241	1	m.	m.	PROPN
ejpam-5898	241	2	al	al	PROPN
ejpam-5898	241	3	-	-	PUNCT
ejpam-5898	241	4	momani	momani	X
ejpam-5898	241	5	et	et	PROPN
ejpam-5898	241	6	al	al	PROPN
ejpam-5898	241	7	.	.	PUNCT
ejpam-5898	241	8	/	/	SYM
ejpam-5898	241	9	eur	eur	PROPN
ejpam-5898	241	10	.	.	PUNCT
ejpam-5898	242	1	j.	j.	PROPN
ejpam-5898	242	2	pure	pure	PROPN
ejpam-5898	242	3	appl	appl	PROPN
ejpam-5898	242	4	.	.	PROPN
ejpam-5898	242	5	math	math	PROPN
ejpam-5898	242	6	,	,	PUNCT
ejpam-5898	242	7	18	18	NUM
ejpam-5898	242	8	(	(	PUNCT
ejpam-5898	242	9	2	2	NUM
ejpam-5898	242	10	)	)	PUNCT
ejpam-5898	242	11	(	(	PUNCT
ejpam-5898	242	12	2025	2025	NUM
ejpam-5898	242	13	)	)	PUNCT
ejpam-5898	242	14	,	,	PUNCT
ejpam-5898	242	15	5898	5898	NUM
ejpam-5898	242	16	9	9	NUM
ejpam-5898	242	17	of	of	ADP
ejpam-5898	242	18	18	18	NUM
ejpam-5898	242	19	definition	definition	NOUN
ejpam-5898	242	20	4	4	NUM
ejpam-5898	242	21	.	.	PUNCT
ejpam-5898	243	1	let	let	VERB
ejpam-5898	243	2	q(τ	q(τ	VERB
ejpam-5898	243	3	,	,	PUNCT
ejpam-5898	243	4	υ	υ	NOUN
ejpam-5898	243	5	)	)	PUNCT
ejpam-5898	243	6	and	and	CCONJ
ejpam-5898	243	7	p(τ	p(τ	PROPN
ejpam-5898	243	8	,	,	PUNCT
ejpam-5898	243	9	υ	υ	NOUN
ejpam-5898	243	10	)	)	PUNCT
ejpam-5898	243	11	be	be	AUX
ejpam-5898	243	12	continuous	continuous	ADJ
ejpam-5898	243	13	functions	function	NOUN
ejpam-5898	243	14	.	.	PUNCT
ejpam-5898	244	1	we	we	PRON
ejpam-5898	244	2	define	define	VERB
ejpam-5898	244	3	the	the	DET
ejpam-5898	244	4	convolution	convolution	NOUN
ejpam-5898	244	5	in	in	ADP
ejpam-5898	244	6	the	the	DET
ejpam-5898	244	7	dsht	dsht	NOUN
ejpam-5898	244	8	as	as	ADP
ejpam-5898	244	9	(	(	PUNCT
ejpam-5898	244	10	q	q	NOUN
ejpam-5898	244	11	∗	∗	X
ejpam-5898	244	12	∗p)(τ	∗p)(τ	PROPN
ejpam-5898	244	13	,	,	PUNCT
ejpam-5898	244	14	υ	υ	NOUN
ejpam-5898	244	15	)	)	PUNCT
ejpam-5898	244	16	=	=	SYM
ejpam-5898	244	17	τ∫	τ∫	PROPN
ejpam-5898	244	18	0	0	NUM
ejpam-5898	244	19	υ∫	υ∫	NOUN
ejpam-5898	244	20	0	0	NUM
ejpam-5898	244	21	q(τ	q(τ	PROPN
ejpam-5898	244	22	−	−	PROPN
ejpam-5898	244	23	β	β	NOUN
ejpam-5898	244	24	,	,	PUNCT
ejpam-5898	244	25	υ	υ	PRON
ejpam-5898	244	26	−	−	PROPN
ejpam-5898	244	27	γ)p(β	γ)p(β	PROPN
ejpam-5898	244	28	,	,	PUNCT
ejpam-5898	244	29	γ))dβdγ	γ))dβdγ	PROPN
ejpam-5898	244	30	.	.	PUNCT
ejpam-5898	245	1	the	the	DET
ejpam-5898	245	2	following	follow	VERB
ejpam-5898	245	3	theorem	theorem	NOUN
ejpam-5898	245	4	provides	provide	VERB
ejpam-5898	245	5	the	the	DET
ejpam-5898	245	6	computation	computation	NOUN
ejpam-5898	245	7	of	of	ADP
ejpam-5898	245	8	the	the	DET
ejpam-5898	245	9	dsht	dsht	NOUN
ejpam-5898	245	10	for	for	ADP
ejpam-5898	245	11	the	the	DET
ejpam-5898	245	12	convolution	convolution	NOUN
ejpam-5898	245	13	of	of	ADP
ejpam-5898	245	14	two	two	NUM
ejpam-5898	245	15	functions	function	NOUN
ejpam-5898	245	16	theorem	theorem	VERB
ejpam-5898	245	17	2	2	NUM
ejpam-5898	245	18	.	.	PUNCT
ejpam-5898	246	1	let	let	VERB
ejpam-5898	246	2	q(κ	q(κ	PROPN
ejpam-5898	246	3	,	,	PUNCT
ejpam-5898	246	4	λ	λ	PROPN
ejpam-5898	246	5	,	,	PUNCT
ejpam-5898	246	6	µ	µ	NOUN
ejpam-5898	246	7	)	)	PUNCT
ejpam-5898	246	8	=	=	SYM
ejpam-5898	247	1	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	247	2	,	,	PUNCT
ejpam-5898	247	3	υ	υ	NOUN
ejpam-5898	247	4	)	)	PUNCT
ejpam-5898	247	5	)	)	PUNCT
ejpam-5898	247	6	and	and	CCONJ
ejpam-5898	247	7	p	p	X
ejpam-5898	247	8	(	(	PUNCT
ejpam-5898	247	9	κ	κ	NOUN
ejpam-5898	247	10	,	,	PUNCT
ejpam-5898	247	11	λ	λ	PROPN
ejpam-5898	247	12	,	,	PUNCT
ejpam-5898	247	13	µ	µ	NOUN
ejpam-5898	247	14	)	)	PUNCT
ejpam-5898	247	15	=	=	SYM
ejpam-5898	247	16	sτhυ(p(τ	sτhυ(p(τ	PROPN
ejpam-5898	247	17	,	,	PUNCT
ejpam-5898	247	18	υ	υ	NOUN
ejpam-5898	247	19	)	)	PUNCT
ejpam-5898	247	20	)	)	PUNCT
ejpam-5898	247	21	.	.	PUNCT
ejpam-5898	248	1	then	then	ADV
ejpam-5898	248	2	sτhυ((q	sτhυ((q	NUM
ejpam-5898	248	3	∗	∗	NOUN
ejpam-5898	248	4	∗p)(τ	∗p)(τ	PROPN
ejpam-5898	248	5	,	,	PUNCT
ejpam-5898	248	6	υ	υ	NOUN
ejpam-5898	248	7	)	)	PUNCT
ejpam-5898	248	8	)	)	PUNCT
ejpam-5898	249	1	=	=	PUNCT
ejpam-5898	249	2	κq(κ	κq(κ	NOUN
ejpam-5898	249	3	,	,	PUNCT
ejpam-5898	249	4	λ	λ	PROPN
ejpam-5898	249	5	,	,	PUNCT
ejpam-5898	249	6	µ)p	µ)p	NOUN
ejpam-5898	249	7	(	(	PUNCT
ejpam-5898	249	8	κ	κ	NOUN
ejpam-5898	249	9	,	,	PUNCT
ejpam-5898	249	10	λ	λ	PROPN
ejpam-5898	249	11	,	,	PUNCT
ejpam-5898	249	12	µ	µ	NOUN
ejpam-5898	249	13	)	)	PUNCT
ejpam-5898	249	14	.	.	PUNCT
ejpam-5898	250	1	proof	proof	NOUN
ejpam-5898	250	2	.	.	PUNCT
ejpam-5898	251	1	sτhυ((q∗∗p)(τ	sτhυ((q∗∗p)(τ	ADJ
ejpam-5898	251	2	,	,	PUNCT
ejpam-5898	251	3	υ	υ	NOUN
ejpam-5898	251	4	)	)	PUNCT
ejpam-5898	251	5	)	)	PUNCT
ejpam-5898	252	1	=	=	SYM
ejpam-5898	253	1	1	1	NUM
ejpam-5898	253	2	κ	κ	X
ejpam-5898	253	3	∞∫	∞∫	PROPN
ejpam-5898	253	4	0	0	NUM
ejpam-5898	254	1	∞∫	∞∫	NOUN
ejpam-5898	254	2	0	0	PUNCT
ejpam-5898	255	1	e	e	X
ejpam-5898	255	2	−	−	PROPN
ejpam-5898	255	3	τ	τ	PROPN
ejpam-5898	255	4	κ	κ	PROPN
ejpam-5898	255	5	−λυ	−λυ	PROPN
ejpam-5898	255	6	µ	µ	X
ejpam-5898	255	7	(	(	PUNCT
ejpam-5898	255	8	q	q	NOUN
ejpam-5898	255	9	∗	∗	NOUN
ejpam-5898	255	10	∗p)(τ	∗p)(τ	PROPN
ejpam-5898	255	11	,	,	PUNCT
ejpam-5898	255	12	υ)dτdυ	υ)dτdυ	PUNCT
ejpam-5898	255	13	=	=	SYM
ejpam-5898	255	14	1	1	NUM
ejpam-5898	255	15	κ	κ	PROPN
ejpam-5898	255	16	∞∫	∞∫	PROPN
ejpam-5898	255	17	0	0	NUM
ejpam-5898	256	1	∞∫	∞∫	NOUN
ejpam-5898	256	2	0	0	PUNCT
ejpam-5898	257	1	e	e	X
ejpam-5898	257	2	−	−	PROPN
ejpam-5898	257	3	τ	τ	PROPN
ejpam-5898	257	4	κ	κ	PROPN
ejpam-5898	257	5	−λυ	−λυ	PROPN
ejpam-5898	257	6	µ	µ	X
ejpam-5898	257	7			PROPN
ejpam-5898	257	8	τ∫	τ∫	PROPN
ejpam-5898	257	9	0	0	NUM
ejpam-5898	257	10	υ∫	υ∫	NOUN
ejpam-5898	257	11	0	0	NUM
ejpam-5898	257	12	q(τ	q(τ	PROPN
ejpam-5898	257	13	−	−	PROPN
ejpam-5898	257	14	β	β	NOUN
ejpam-5898	257	15	,	,	PUNCT
ejpam-5898	257	16	υ	υ	PRON
ejpam-5898	257	17	−	−	PROPN
ejpam-5898	257	18	γ)p(β	γ)p(β	ADJ
ejpam-5898	257	19	,	,	PUNCT
ejpam-5898	257	20	γ))dβdγ	γ))dβdγ	ADJ
ejpam-5898	257	21			PROPN
ejpam-5898	257	22	dτdυ	dτdυ	NOUN
ejpam-5898	257	23	.	.	PUNCT
ejpam-5898	258	1	(	(	PUNCT
ejpam-5898	258	2	18	18	NUM
ejpam-5898	258	3	)	)	PUNCT
ejpam-5898	258	4	by	by	ADP
ejpam-5898	258	5	incorporating	incorporate	VERB
ejpam-5898	258	6	the	the	DET
ejpam-5898	258	7	heaviside	heaviside	ADJ
ejpam-5898	258	8	unit	unit	NOUN
ejpam-5898	258	9	step	step	NOUN
ejpam-5898	258	10	function	function	NOUN
ejpam-5898	258	11	,	,	PUNCT
ejpam-5898	258	12	equation	equation	NOUN
ejpam-5898	258	13	(	(	PUNCT
ejpam-5898	258	14	18	18	NUM
ejpam-5898	258	15	)	)	PUNCT
ejpam-5898	258	16	can	can	AUX
ejpam-5898	258	17	be	be	AUX
ejpam-5898	258	18	rewritten	rewrite	VERB
ejpam-5898	258	19	as	as	ADP
ejpam-5898	258	20	:	:	PUNCT
ejpam-5898	258	21	sτhυ((q∗∗p)(τ	sτhυ((q∗∗p)(τ	ADJ
ejpam-5898	258	22	,	,	PUNCT
ejpam-5898	258	23	υ	υ	NOUN
ejpam-5898	258	24	)	)	PUNCT
ejpam-5898	258	25	)	)	PUNCT
ejpam-5898	259	1	=	=	SYM
ejpam-5898	260	1	1	1	NUM
ejpam-5898	260	2	κ	κ	X
ejpam-5898	260	3	∞∫	∞∫	PROPN
ejpam-5898	260	4	0	0	NUM
ejpam-5898	261	1	∞∫	∞∫	NOUN
ejpam-5898	261	2	0	0	PUNCT
ejpam-5898	262	1	e	e	X
ejpam-5898	262	2	−	−	PROPN
ejpam-5898	262	3	τ	τ	PROPN
ejpam-5898	262	4	κ	κ	PROPN
ejpam-5898	262	5	−λυ	−λυ	PROPN
ejpam-5898	262	6	µ	µ	NOUN
ejpam-5898	262	7	∞∫	∞∫	NOUN
ejpam-5898	262	8	0	0	NUM
ejpam-5898	263	1	∞∫	∞∫	NOUN
ejpam-5898	263	2	0	0	PUNCT
ejpam-5898	263	3	q(τ	q(τ	PROPN
ejpam-5898	263	4	−	−	PROPN
ejpam-5898	263	5	β	β	NOUN
ejpam-5898	263	6	,	,	PUNCT
ejpam-5898	263	7	υ	υ	PROPN
ejpam-5898	263	8	−	−	PROPN
ejpam-5898	263	9	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	263	10	−	−	PROPN
ejpam-5898	263	11	β	β	NOUN
ejpam-5898	263	12	,	,	PUNCT
ejpam-5898	263	13	υ	υ	PRON
ejpam-5898	263	14	−	−	PROPN
ejpam-5898	263	15	γ)p(β	γ)p(β	ADJ
ejpam-5898	263	16	,	,	PUNCT
ejpam-5898	263	17	γ))dβdγ	γ))dβdγ	ADJ
ejpam-5898	263	18			PROPN
ejpam-5898	263	19	dτdυ	dτdυ	NOUN
ejpam-5898	263	20	=	=	SYM
ejpam-5898	263	21	∞∫	∞∫	PROPN
ejpam-5898	263	22	0	0	NUM
ejpam-5898	264	1	∞∫	∞∫	NOUN
ejpam-5898	264	2	0	0	NUM
ejpam-5898	264	3	p(β	p(β	PROPN
ejpam-5898	264	4	,	,	PUNCT
ejpam-5898	264	5	γ	γ	NOUN
ejpam-5898	264	6	)	)	PUNCT
ejpam-5898	264	7	1	1	PROPN
ejpam-5898	264	8	κ	κ	PROPN
ejpam-5898	264	9	∞∫	∞∫	PROPN
ejpam-5898	264	10	0	0	NUM
ejpam-5898	264	11	∞∫	∞∫	NOUN
ejpam-5898	264	12	0	0	PUNCT
ejpam-5898	265	1	e	e	X
ejpam-5898	265	2	−	−	PROPN
ejpam-5898	265	3	τ	τ	PROPN
ejpam-5898	265	4	κ	κ	PROPN
ejpam-5898	265	5	−λυ	−λυ	PROPN
ejpam-5898	265	6	µ	µ	PROPN
ejpam-5898	265	7	q(τ	q(τ	PROPN
ejpam-5898	265	8	−	−	PROPN
ejpam-5898	265	9	β	β	NOUN
ejpam-5898	265	10	,	,	PUNCT
ejpam-5898	265	11	υ	υ	PROPN
ejpam-5898	265	12	−	−	PROPN
ejpam-5898	265	13	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	265	14	−	−	PROPN
ejpam-5898	265	15	β	β	NOUN
ejpam-5898	265	16	,	,	PUNCT
ejpam-5898	265	17	υ	υ	DET
ejpam-5898	265	18	−	−	NOUN
ejpam-5898	265	19	γ)dτdυ	γ)dτdυ	NOUN
ejpam-5898	265	20			PROPN
ejpam-5898	265	21	dβdγ	dβdγ	VERB
ejpam-5898	265	22	so	so	ADV
ejpam-5898	265	23	by	by	ADP
ejpam-5898	265	24	lemma	lemma	PROPN
ejpam-5898	265	25	1	1	NUM
ejpam-5898	265	26	,	,	PUNCT
ejpam-5898	265	27	we	we	PRON
ejpam-5898	265	28	have	have	VERB
ejpam-5898	265	29	sτhυ((q	sτhυ((q	NUM
ejpam-5898	265	30	∗	∗	NOUN
ejpam-5898	265	31	∗p)(τ	∗p)(τ	PROPN
ejpam-5898	265	32	,	,	PUNCT
ejpam-5898	265	33	υ	υ	NOUN
ejpam-5898	265	34	)	)	PUNCT
ejpam-5898	265	35	)	)	PUNCT
ejpam-5898	266	1	=	=	SYM
ejpam-5898	266	2	q(κ	q(κ	PROPN
ejpam-5898	266	3	,	,	PUNCT
ejpam-5898	266	4	λ	λ	PROPN
ejpam-5898	266	5	,	,	PUNCT
ejpam-5898	266	6	µ	µ	NOUN
ejpam-5898	266	7	)	)	PUNCT
ejpam-5898	266	8	∞∫	∞∫	PROPN
ejpam-5898	266	9	0	0	NUM
ejpam-5898	266	10	∞∫	∞∫	NOUN
ejpam-5898	266	11	0	0	NUM
ejpam-5898	266	12	p(β	p(β	PROPN
ejpam-5898	266	13	,	,	PUNCT
ejpam-5898	266	14	γ)e	γ)e	ADJ
ejpam-5898	266	15	−β	−β	PROPN
ejpam-5898	266	16	κ	κ	X
ejpam-5898	266	17	−λγ	−λγ	X
ejpam-5898	266	18	µ	µ	X
ejpam-5898	266	19	dβdγ	dβdγ	X
ejpam-5898	266	20	=	=	PUNCT
ejpam-5898	266	21	κq(κ	κq(κ	PROPN
ejpam-5898	266	22	,	,	PUNCT
ejpam-5898	266	23	λ	λ	PROPN
ejpam-5898	266	24	,	,	PUNCT
ejpam-5898	266	25	µ)p	µ)p	NOUN
ejpam-5898	266	26	(	(	PUNCT
ejpam-5898	266	27	κ	κ	NOUN
ejpam-5898	266	28	,	,	PUNCT
ejpam-5898	266	29	λ	λ	PROPN
ejpam-5898	266	30	,	,	PUNCT
ejpam-5898	266	31	µ	µ	NOUN
ejpam-5898	266	32	)	)	PUNCT
ejpam-5898	266	33	.	.	PUNCT
ejpam-5898	267	1	in	in	ADP
ejpam-5898	267	2	table	table	NOUN
ejpam-5898	267	3	1	1	NUM
ejpam-5898	267	4	,	,	PUNCT
ejpam-5898	267	5	we	we	PRON
ejpam-5898	267	6	have	have	VERB
ejpam-5898	267	7	the	the	DET
ejpam-5898	267	8	dsht	dsht	NOUN
ejpam-5898	267	9	of	of	ADP
ejpam-5898	267	10	some	some	DET
ejpam-5898	267	11	basic	basic	ADJ
ejpam-5898	267	12	functions	function	NOUN
ejpam-5898	267	13	m.	m.	NOUN
ejpam-5898	267	14	al	al	PROPN
ejpam-5898	267	15	-	-	PUNCT
ejpam-5898	267	16	momani	momani	X
ejpam-5898	267	17	et	et	PROPN
ejpam-5898	267	18	al	al	PROPN
ejpam-5898	267	19	.	.	PUNCT
ejpam-5898	267	20	/	/	SYM
ejpam-5898	267	21	eur	eur	PROPN
ejpam-5898	267	22	.	.	PUNCT
ejpam-5898	268	1	j.	j.	PROPN
ejpam-5898	268	2	pure	pure	PROPN
ejpam-5898	268	3	appl	appl	PROPN
ejpam-5898	268	4	.	.	PROPN
ejpam-5898	268	5	math	math	PROPN
ejpam-5898	268	6	,	,	PUNCT
ejpam-5898	268	7	18	18	NUM
ejpam-5898	268	8	(	(	PUNCT
ejpam-5898	268	9	2	2	NUM
ejpam-5898	268	10	)	)	PUNCT
ejpam-5898	268	11	(	(	PUNCT
ejpam-5898	268	12	2025	2025	NUM
ejpam-5898	268	13	)	)	PUNCT
ejpam-5898	268	14	,	,	PUNCT
ejpam-5898	268	15	5898	5898	NUM
ejpam-5898	268	16	10	10	NUM
ejpam-5898	268	17	of	of	ADP
ejpam-5898	268	18	18	18	NUM
ejpam-5898	268	19	table	table	NOUN
ejpam-5898	268	20	1	1	NUM
ejpam-5898	268	21	:	:	PUNCT
ejpam-5898	268	22	table	table	NOUN
ejpam-5898	268	23	of	of	ADP
ejpam-5898	268	24	the	the	DET
ejpam-5898	268	25	dsht	dsht	NOUN
ejpam-5898	268	26	q(τ	q(τ	PROPN
ejpam-5898	268	27	,	,	PUNCT
ejpam-5898	268	28	υ	υ	NOUN
ejpam-5898	268	29	)	)	PUNCT
ejpam-5898	268	30	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	268	31	,	,	PUNCT
ejpam-5898	268	32	υ	υ	NOUN
ejpam-5898	268	33	)	)	PUNCT
ejpam-5898	268	34	)	)	PUNCT
ejpam-5898	268	35	w(τ)z(υ	w(τ)z(υ	PROPN
ejpam-5898	268	36	)	)	PUNCT
ejpam-5898	268	37	s(w(τ))h(z(υ	s(w(τ))h(z(υ	NOUN
ejpam-5898	268	38	)	)	PUNCT
ejpam-5898	268	39	)	)	PUNCT
ejpam-5898	268	40	1	1	NUM
ejpam-5898	268	41	µ	µ	PROPN
ejpam-5898	268	42	λ	λ	X
ejpam-5898	268	43	,	,	PUNCT
ejpam-5898	268	44	re(κ	re(κ	NOUN
ejpam-5898	268	45	)	)	PUNCT
ejpam-5898	268	46	>	>	X
ejpam-5898	268	47	0	0	NUM
ejpam-5898	268	48	τβυγ	τβυγ	NOUN
ejpam-5898	269	1	κβµγ+1	κβµγ+1	PROPN
ejpam-5898	269	2	λγ+1	λγ+1	X
ejpam-5898	269	3	γ(β	γ(β	PROPN
ejpam-5898	269	4	+	+	CCONJ
ejpam-5898	269	5	1)γ(γ	1)γ(γ	NUM
ejpam-5898	269	6	+	+	CCONJ
ejpam-5898	269	7	1	1	NUM
ejpam-5898	269	8	)	)	PUNCT
ejpam-5898	269	9	,	,	PUNCT
ejpam-5898	269	10	re(κ	re(κ	NOUN
ejpam-5898	269	11	)	)	PUNCT
ejpam-5898	269	12	>	>	X
ejpam-5898	269	13	0	0	PUNCT
ejpam-5898	269	14	and	and	CCONJ
ejpam-5898	269	15	re(β	re(β	PROPN
ejpam-5898	269	16	)	)	PUNCT
ejpam-5898	269	17	>	>	X
ejpam-5898	269	18	−1	−1	NOUN
ejpam-5898	269	19	eβτ+γυ	eβτ+γυ	PROPN
ejpam-5898	269	20	µ	µ	X
ejpam-5898	269	21	(	(	PUNCT
ejpam-5898	269	22	1−κβ)(λ−γµ	1−κβ)(λ−γµ	NUM
ejpam-5898	269	23	)	)	PUNCT
ejpam-5898	269	24	,	,	PUNCT
ejpam-5898	269	25	re	re	VERB
ejpam-5898	269	26	(	(	PUNCT
ejpam-5898	269	27	1κ	1κ	NUM
ejpam-5898	269	28	)	)	PUNCT
ejpam-5898	269	29	>	>	X
ejpam-5898	269	30	re(β	re(β	X
ejpam-5898	269	31	)	)	PUNCT
ejpam-5898	269	32	ei(βτ+γυ	ei(βτ+γυ	NOUN
ejpam-5898	269	33	)	)	PUNCT
ejpam-5898	269	34	iµ	iµ	PROPN
ejpam-5898	269	35	(	(	PUNCT
ejpam-5898	269	36	i+κβ)(λ−iγµ	i+κβ)(λ−iγµ	PROPN
ejpam-5898	269	37	)	)	PUNCT
ejpam-5898	269	38	,	,	PUNCT
ejpam-5898	269	39	im(β	im(β	NUM
ejpam-5898	269	40	)	)	PUNCT
ejpam-5898	270	1	+	+	CCONJ
ejpam-5898	270	2	re	re	VERB
ejpam-5898	270	3	(	(	PUNCT
ejpam-5898	270	4	1κ	1κ	NUM
ejpam-5898	270	5	)	)	PUNCT
ejpam-5898	270	6	>	>	SYM
ejpam-5898	270	7	0	0	NUM
ejpam-5898	270	8	sin	sin	NOUN
ejpam-5898	270	9	(	(	PUNCT
ejpam-5898	270	10	βτ	βτ	NOUN
ejpam-5898	270	11	+	+	X
ejpam-5898	270	12	γυ	γυ	NOUN
ejpam-5898	270	13	)	)	PUNCT
ejpam-5898	270	14	µ(κλβ+µγ	µ(κλβ+µγ	ADJ
ejpam-5898	270	15	)	)	PUNCT
ejpam-5898	270	16	(	(	PUNCT
ejpam-5898	270	17	1+κ2β2)(λ2+γ2µ2	1+κ2β2)(λ2+γ2µ2	NUM
ejpam-5898	270	18	)	)	PUNCT
ejpam-5898	270	19	,	,	PUNCT
ejpam-5898	270	20	|im(β)|	|im(β)|	VERB
ejpam-5898	270	21	<	<	X
ejpam-5898	270	22	re	re	X
ejpam-5898	270	23	(	(	PUNCT
ejpam-5898	270	24	1κ	1κ	NUM
ejpam-5898	270	25	)	)	PUNCT
ejpam-5898	270	26	cos	cos	PROPN
ejpam-5898	270	27	(	(	PUNCT
ejpam-5898	270	28	βτ	βτ	NOUN
ejpam-5898	270	29	+	+	PROPN
ejpam-5898	270	30	γυ	γυ	NOUN
ejpam-5898	270	31	)	)	PUNCT
ejpam-5898	270	32	µ(λ−κµβγ	µ(λ−κµβγ	PROPN
ejpam-5898	270	33	)	)	PUNCT
ejpam-5898	270	34	(	(	PUNCT
ejpam-5898	270	35	1+κ2β2)(λ2+γ2µ2	1+κ2β2)(λ2+γ2µ2	NUM
ejpam-5898	270	36	)	)	PUNCT
ejpam-5898	270	37	,	,	PUNCT
ejpam-5898	270	38	|im(β)|	|im(β)|	VERB
ejpam-5898	270	39	<	<	X
ejpam-5898	270	40	re	re	X
ejpam-5898	270	41	(	(	PUNCT
ejpam-5898	270	42	1κ	1κ	NUM
ejpam-5898	270	43	)	)	PUNCT
ejpam-5898	270	44	sinh	sinh	NOUN
ejpam-5898	270	45	(	(	PUNCT
ejpam-5898	270	46	βτ	βτ	NOUN
ejpam-5898	270	47	+	+	X
ejpam-5898	270	48	γυ	γυ	NOUN
ejpam-5898	270	49	)	)	PUNCT
ejpam-5898	270	50	µ(κλβ+µγ	µ(κλβ+µγ	ADJ
ejpam-5898	270	51	)	)	PUNCT
ejpam-5898	270	52	(	(	PUNCT
ejpam-5898	270	53	κ2β2−1)(λ2−γ2µ2	κ2β2−1)(λ2−γ2µ2	PROPN
ejpam-5898	270	54	)	)	PUNCT
ejpam-5898	270	55	,	,	PUNCT
ejpam-5898	270	56	re	re	VERB
ejpam-5898	270	57	(	(	PUNCT
ejpam-5898	270	58	1κ	1κ	NUM
ejpam-5898	270	59	)	)	PUNCT
ejpam-5898	270	60	>	>	X
ejpam-5898	270	61	re(β	re(β	X
ejpam-5898	270	62	)	)	PUNCT
ejpam-5898	270	63	and	and	CCONJ
ejpam-5898	270	64	re	re	ADP
ejpam-5898	270	65	(	(	PUNCT
ejpam-5898	270	66	1κ	1κ	NOUN
ejpam-5898	270	67	+	+	CCONJ
ejpam-5898	270	68	β	β	X
ejpam-5898	270	69	)	)	PUNCT
ejpam-5898	270	70	>	>	X
ejpam-5898	270	71	0	0	PUNCT
ejpam-5898	271	1	cos	cos	PROPN
ejpam-5898	271	2	(	(	PUNCT
ejpam-5898	271	3	βτ	βτ	NOUN
ejpam-5898	271	4	+	+	X
ejpam-5898	271	5	γυ	γυ	NOUN
ejpam-5898	271	6	)	)	PUNCT
ejpam-5898	271	7	µ(λ+κµβγ	µ(λ+κµβγ	NOUN
ejpam-5898	271	8	)	)	PUNCT
ejpam-5898	271	9	(	(	PUNCT
ejpam-5898	271	10	κ2β2−1)(λ2−γ2µ2	κ2β2−1)(λ2−γ2µ2	PROPN
ejpam-5898	271	11	)	)	PUNCT
ejpam-5898	271	12	,	,	PUNCT
ejpam-5898	271	13	re	re	VERB
ejpam-5898	271	14	(	(	PUNCT
ejpam-5898	271	15	1κ	1κ	NUM
ejpam-5898	271	16	)	)	PUNCT
ejpam-5898	271	17	>	>	X
ejpam-5898	271	18	re(β	re(β	X
ejpam-5898	271	19	)	)	PUNCT
ejpam-5898	271	20	and	and	CCONJ
ejpam-5898	271	21	re	re	ADP
ejpam-5898	271	22	(	(	PUNCT
ejpam-5898	271	23	1κ	1κ	NOUN
ejpam-5898	271	24	+	+	CCONJ
ejpam-5898	271	25	β	β	X
ejpam-5898	271	26	)	)	PUNCT
ejpam-5898	271	27	>	>	X
ejpam-5898	271	28	0	0	NUM
ejpam-5898	271	29	j0	j0	PROPN
ejpam-5898	271	30	(	(	PUNCT
ejpam-5898	271	31	c	c	NOUN
ejpam-5898	271	32	√	√	PROPN
ejpam-5898	271	33	τυ	τυ	NOUN
ejpam-5898	271	34	)	)	PUNCT
ejpam-5898	271	35	4µ	4µ	NOUN
ejpam-5898	271	36	4λ+c2κµ	4λ+c2κµ	NUM
ejpam-5898	271	37	,	,	PUNCT
ejpam-5898	271	38	re	re	ADP
ejpam-5898	271	39	(	(	PUNCT
ejpam-5898	271	40	1	1	NUM
ejpam-5898	271	41	κ	κ	NOUN
ejpam-5898	271	42	+	+	PUNCT
ejpam-5898	271	43	c2µ	c2µ	NOUN
ejpam-5898	271	44	4λ	4λ	PROPN
ejpam-5898	271	45	)	)	PUNCT
ejpam-5898	271	46	>	>	SYM
ejpam-5898	271	47	0	0	PUNCT
ejpam-5898	272	1	q(τ	q(τ	PROPN
ejpam-5898	272	2	−	−	PROPN
ejpam-5898	272	3	β	β	NOUN
ejpam-5898	272	4	,	,	PUNCT
ejpam-5898	272	5	υ	υ	PROPN
ejpam-5898	272	6	−	−	PROPN
ejpam-5898	272	7	γ)m(τ	γ)m(τ	NOUN
ejpam-5898	272	8	−	−	PROPN
ejpam-5898	272	9	β	β	NOUN
ejpam-5898	272	10	,	,	PUNCT
ejpam-5898	272	11	υ	υ	PRON
ejpam-5898	272	12	−	−	PROPN
ejpam-5898	272	13	γ	γ	X
ejpam-5898	272	14	)	)	PUNCT
ejpam-5898	272	15	e	e	PROPN
ejpam-5898	272	16	−β	−β	PROPN
ejpam-5898	272	17	κ	κ	X
ejpam-5898	272	18	−λγ	−λγ	X
ejpam-5898	272	19	µ	µ	X
ejpam-5898	272	20	sτhυ(q(τ	sτhυ(q(τ	PROPN
ejpam-5898	272	21	,	,	PUNCT
ejpam-5898	272	22	υ	υ	NOUN
ejpam-5898	272	23	)	)	PUNCT
ejpam-5898	272	24	)	)	PUNCT
ejpam-5898	273	1	(	(	PUNCT
ejpam-5898	273	2	q	q	NOUN
ejpam-5898	273	3	∗	∗	X
ejpam-5898	273	4	∗p)(τ	∗p)(τ	PROPN
ejpam-5898	273	5	,	,	PUNCT
ejpam-5898	273	6	υ	υ	NOUN
ejpam-5898	273	7	)	)	PUNCT
ejpam-5898	273	8	κsτhυ(q(τ	κsτhυ(q(τ	PROPN
ejpam-5898	273	9	,	,	PUNCT
ejpam-5898	273	10	υ))sτhυ(p(τ	υ))sτhυ(p(τ	PROPN
ejpam-5898	273	11	,	,	PUNCT
ejpam-5898	273	12	υ	υ	NOUN
ejpam-5898	273	13	)	)	PUNCT
ejpam-5898	273	14	)	)	PUNCT
ejpam-5898	273	15	5	5	NUM
ejpam-5898	273	16	.	.	PUNCT
ejpam-5898	274	1	applications	application	NOUN
ejpam-5898	274	2	in	in	ADP
ejpam-5898	274	3	this	this	DET
ejpam-5898	274	4	section	section	NOUN
ejpam-5898	274	5	,	,	PUNCT
ejpam-5898	274	6	we	we	PRON
ejpam-5898	274	7	use	use	VERB
ejpam-5898	274	8	the	the	DET
ejpam-5898	274	9	dhst	dhst	NOUN
ejpam-5898	274	10	for	for	ADP
ejpam-5898	274	11	solving	solve	VERB
ejpam-5898	274	12	pdes	pde	NOUN
ejpam-5898	274	13	consider	consider	VERB
ejpam-5898	274	14	the	the	DET
ejpam-5898	274	15	pde	pde	NOUN
ejpam-5898	274	16	of	of	ADP
ejpam-5898	274	17	the	the	DET
ejpam-5898	274	18	form	form	NOUN
ejpam-5898	274	19	b1qττ	b1qττ	X
ejpam-5898	274	20	+	+	NOUN
ejpam-5898	274	21	b2qτυ	b2qτυ	NOUN
ejpam-5898	274	22	+	+	ADJ
ejpam-5898	274	23	b3qυυ	b3qυυ	NOUN
ejpam-5898	274	24	+	+	NOUN
ejpam-5898	274	25	b4qτ	b4qτ	X
ejpam-5898	274	26	+	+	NOUN
ejpam-5898	274	27	b5qυ	b5qυ	X
ejpam-5898	275	1	+	+	ADJ
ejpam-5898	275	2	b6q	b6q	PROPN
ejpam-5898	275	3	(	(	PUNCT
ejpam-5898	275	4	τ	τ	PROPN
ejpam-5898	275	5	,	,	PUNCT
ejpam-5898	275	6	υ	υ	NOUN
ejpam-5898	275	7	)	)	PUNCT
ejpam-5898	275	8	=	=	SYM
ejpam-5898	275	9	k	k	PROPN
ejpam-5898	275	10	(	(	PUNCT
ejpam-5898	275	11	τ	τ	PROPN
ejpam-5898	275	12	,	,	PUNCT
ejpam-5898	275	13	υ	υ	NOUN
ejpam-5898	275	14	)	)	PUNCT
ejpam-5898	275	15	(	(	PUNCT
ejpam-5898	275	16	19	19	NUM
ejpam-5898	275	17	)	)	PUNCT
ejpam-5898	275	18	with	with	ADP
ejpam-5898	275	19	ics	ic	NOUN
ejpam-5898	275	20	q(τ	q(τ	PROPN
ejpam-5898	275	21	,	,	PUNCT
ejpam-5898	275	22	0	0	NUM
ejpam-5898	275	23	)	)	PUNCT
ejpam-5898	275	24	=	=	SYM
ejpam-5898	275	25	r1	r1	PROPN
ejpam-5898	275	26	(	(	PUNCT
ejpam-5898	275	27	τ	τ	PROPN
ejpam-5898	275	28	)	)	PUNCT
ejpam-5898	275	29	,	,	PUNCT
ejpam-5898	275	30	qυ(τ	qυ(τ	ADV
ejpam-5898	275	31	,	,	PUNCT
ejpam-5898	275	32	0	0	NUM
ejpam-5898	275	33	)	)	PUNCT
ejpam-5898	275	34	=	=	SYM
ejpam-5898	275	35	r2	r2	PROPN
ejpam-5898	275	36	(	(	PUNCT
ejpam-5898	275	37	τ	τ	PROPN
ejpam-5898	275	38	)	)	PUNCT
ejpam-5898	275	39	and	and	CCONJ
ejpam-5898	275	40	bcs	bcs	NOUN
ejpam-5898	275	41	q	q	X
ejpam-5898	275	42	(	(	PUNCT
ejpam-5898	275	43	0	0	NUM
ejpam-5898	275	44	,	,	PUNCT
ejpam-5898	275	45	υ	υ	NOUN
ejpam-5898	275	46	)	)	PUNCT
ejpam-5898	275	47	=	=	SYM
ejpam-5898	275	48	t1	t1	NOUN
ejpam-5898	275	49	(	(	PUNCT
ejpam-5898	275	50	υ	υ	NOUN
ejpam-5898	275	51	)	)	PUNCT
ejpam-5898	275	52	,	,	PUNCT
ejpam-5898	275	53	qτ	qτ	CCONJ
ejpam-5898	275	54	(	(	PUNCT
ejpam-5898	275	55	0	0	NUM
ejpam-5898	275	56	,	,	PUNCT
ejpam-5898	275	57	υ	υ	NOUN
ejpam-5898	275	58	)	)	PUNCT
ejpam-5898	275	59	=	=	SYM
ejpam-5898	275	60	t2	t2	NOUN
ejpam-5898	275	61	(	(	PUNCT
ejpam-5898	275	62	υ	υ	NOUN
ejpam-5898	275	63	)	)	PUNCT
ejpam-5898	275	64	and	and	CCONJ
ejpam-5898	275	65	assuming	assume	VERB
ejpam-5898	275	66	q	q	X
ejpam-5898	275	67	(	(	PUNCT
ejpam-5898	275	68	0	0	NUM
ejpam-5898	275	69	,	,	PUNCT
ejpam-5898	275	70	0	0	NUM
ejpam-5898	275	71	)	)	PUNCT
ejpam-5898	275	72	=	=	SYM
ejpam-5898	275	73	ψ	ψ	NOUN
ejpam-5898	275	74	given	give	VERB
ejpam-5898	275	75	that	that	DET
ejpam-5898	275	76	q	q	NOUN
ejpam-5898	275	77	(	(	PUNCT
ejpam-5898	275	78	τ	τ	PROPN
ejpam-5898	275	79	,	,	PUNCT
ejpam-5898	275	80	υ	υ	NOUN
ejpam-5898	275	81	)	)	PUNCT
ejpam-5898	275	82	is	be	AUX
ejpam-5898	275	83	the	the	DET
ejpam-5898	275	84	unknown	unknown	ADJ
ejpam-5898	275	85	function	function	NOUN
ejpam-5898	275	86	,	,	PUNCT
ejpam-5898	275	87	k	k	PROPN
ejpam-5898	275	88	(	(	PUNCT
ejpam-5898	275	89	τ	τ	PROPN
ejpam-5898	275	90	,	,	PUNCT
ejpam-5898	275	91	υ	υ	NOUN
ejpam-5898	275	92	)	)	PUNCT
ejpam-5898	275	93	is	be	AUX
ejpam-5898	275	94	the	the	DET
ejpam-5898	275	95	source	source	NOUN
ejpam-5898	275	96	term	term	NOUN
ejpam-5898	275	97	,	,	PUNCT
ejpam-5898	275	98	and	and	CCONJ
ejpam-5898	275	99	b1	b1	NOUN
ejpam-5898	275	100	,	,	PUNCT
ejpam-5898	275	101	b2	b2	NOUN
ejpam-5898	275	102	,	,	PUNCT
ejpam-5898	275	103	...	...	PUNCT
ejpam-5898	275	104	,	,	PUNCT
ejpam-5898	275	105	b6	b6	NOUN
ejpam-5898	275	106	and	and	CCONJ
ejpam-5898	275	107	ψ	ψ	NOUN
ejpam-5898	275	108	are	be	AUX
ejpam-5898	275	109	constants	constant	NOUN
ejpam-5898	275	110	,	,	PUNCT
ejpam-5898	275	111	we	we	PRON
ejpam-5898	275	112	aim	aim	VERB
ejpam-5898	275	113	to	to	PART
ejpam-5898	275	114	apply	apply	VERB
ejpam-5898	275	115	the	the	DET
ejpam-5898	275	116	dhst	dhst	NOUN
ejpam-5898	275	117	to	to	ADP
ejpam-5898	275	118	equation	equation	NOUN
ejpam-5898	275	119	(	(	PUNCT
ejpam-5898	275	120	19	19	NUM
ejpam-5898	275	121	)	)	PUNCT
ejpam-5898	275	122	.	.	PUNCT
ejpam-5898	276	1	to	to	PART
ejpam-5898	276	2	do	do	VERB
ejpam-5898	276	3	this	this	PRON
ejpam-5898	276	4	,	,	PUNCT
ejpam-5898	276	5	we	we	PRON
ejpam-5898	276	6	begin	begin	VERB
ejpam-5898	276	7	by	by	ADP
ejpam-5898	276	8	applying	apply	VERB
ejpam-5898	276	9	the	the	DET
ejpam-5898	276	10	single	single	ADJ
ejpam-5898	276	11	sumudu	sumudu	NOUN
ejpam-5898	276	12	transform	transform	NOUN
ejpam-5898	276	13	to	to	ADP
ejpam-5898	276	14	the	the	DET
ejpam-5898	276	15	ics	ic	NOUN
ejpam-5898	276	16	and	and	CCONJ
ejpam-5898	276	17	the	the	DET
ejpam-5898	276	18	single	single	ADJ
ejpam-5898	276	19	shehu	shehu	NOUN
ejpam-5898	276	20	transform	transform	VERB
ejpam-5898	276	21	to	to	ADP
ejpam-5898	276	22	the	the	DET
ejpam-5898	276	23	bcs	bcs	NOUN
ejpam-5898	276	24	m.	m.	NOUN
ejpam-5898	276	25	al	al	PROPN
ejpam-5898	276	26	-	-	PUNCT
ejpam-5898	276	27	momani	momani	X
ejpam-5898	276	28	et	et	PROPN
ejpam-5898	276	29	al	al	PROPN
ejpam-5898	276	30	.	.	PUNCT
ejpam-5898	276	31	/	/	SYM
ejpam-5898	276	32	eur	eur	PROPN
ejpam-5898	276	33	.	.	PUNCT
ejpam-5898	277	1	j.	j.	PROPN
ejpam-5898	277	2	pure	pure	PROPN
ejpam-5898	277	3	appl	appl	PROPN
ejpam-5898	277	4	.	.	PROPN
ejpam-5898	277	5	math	math	PROPN
ejpam-5898	277	6	,	,	PUNCT
ejpam-5898	277	7	18	18	NUM
ejpam-5898	277	8	(	(	PUNCT
ejpam-5898	277	9	2	2	NUM
ejpam-5898	277	10	)	)	PUNCT
ejpam-5898	277	11	(	(	PUNCT
ejpam-5898	277	12	2025	2025	NUM
ejpam-5898	277	13	)	)	PUNCT
ejpam-5898	277	14	,	,	PUNCT
ejpam-5898	277	15	5898	5898	NUM
ejpam-5898	277	16	11	11	NUM
ejpam-5898	277	17	of	of	ADP
ejpam-5898	277	18	18	18	NUM
ejpam-5898	277	19	s	s	NOUN
ejpam-5898	277	20	(	(	PUNCT
ejpam-5898	277	21	r1	r1	PROPN
ejpam-5898	277	22	(	(	PUNCT
ejpam-5898	277	23	τ	τ	PROPN
ejpam-5898	277	24	)	)	PUNCT
ejpam-5898	277	25	)	)	PUNCT
ejpam-5898	278	1	=	=	SYM
ejpam-5898	278	2	r1(τ	r1(τ	PROPN
ejpam-5898	278	3	)	)	PUNCT
ejpam-5898	278	4	,	,	PUNCT
ejpam-5898	278	5	s	s	PART
ejpam-5898	278	6	(	(	PUNCT
ejpam-5898	278	7	r2	r2	PROPN
ejpam-5898	278	8	(	(	PUNCT
ejpam-5898	278	9	τ	τ	PROPN
ejpam-5898	278	10	)	)	PUNCT
ejpam-5898	278	11	)	)	PUNCT
ejpam-5898	278	12	=	=	SYM
ejpam-5898	279	1	r2(τ	r2(τ	PROPN
ejpam-5898	279	2	)	)	PUNCT
ejpam-5898	279	3	,	,	PUNCT
ejpam-5898	279	4	h	h	NOUN
ejpam-5898	279	5	(	(	PUNCT
ejpam-5898	279	6	t1	t1	NOUN
ejpam-5898	279	7	(	(	PUNCT
ejpam-5898	279	8	υ	υ	NOUN
ejpam-5898	279	9	)	)	PUNCT
ejpam-5898	279	10	)	)	PUNCT
ejpam-5898	280	1	=	=	SYM
ejpam-5898	280	2	t1(υ	t1(υ	PROPN
ejpam-5898	280	3	)	)	PUNCT
ejpam-5898	280	4	and	and	CCONJ
ejpam-5898	280	5	h	h	PROPN
ejpam-5898	280	6	(	(	PUNCT
ejpam-5898	280	7	t2	t2	PROPN
ejpam-5898	280	8	(	(	PUNCT
ejpam-5898	280	9	υ	υ	NOUN
ejpam-5898	280	10	)	)	PUNCT
ejpam-5898	280	11	)	)	PUNCT
ejpam-5898	281	1	=	=	PUNCT
ejpam-5898	281	2	t2(υ	t2(υ	X
ejpam-5898	281	3	)	)	PUNCT
ejpam-5898	281	4	by	by	ADP
ejpam-5898	281	5	applying	apply	VERB
ejpam-5898	281	6	the	the	DET
ejpam-5898	281	7	dhst	dhst	NOUN
ejpam-5898	281	8	to	to	ADP
ejpam-5898	281	9	equation	equation	NOUN
ejpam-5898	281	10	(	(	PUNCT
ejpam-5898	281	11	19	19	NUM
ejpam-5898	281	12	)	)	PUNCT
ejpam-5898	281	13	,	,	PUNCT
ejpam-5898	281	14	we	we	PRON
ejpam-5898	281	15	have	have	VERB
ejpam-5898	281	16	b1sτhυ	b1sτhυ	PROPN
ejpam-5898	281	17	(	(	PUNCT
ejpam-5898	281	18	qττ	qττ	PROPN
ejpam-5898	281	19	)	)	PUNCT
ejpam-5898	282	1	+	+	PROPN
ejpam-5898	282	2	b2sτhυ	b2sτhυ	PROPN
ejpam-5898	282	3	(	(	PUNCT
ejpam-5898	282	4	qτυ	qτυ	PROPN
ejpam-5898	282	5	)	)	PUNCT
ejpam-5898	283	1	+	+	NOUN
ejpam-5898	283	2	b3sτhυ	b3sτhυ	PROPN
ejpam-5898	283	3	(	(	PUNCT
ejpam-5898	283	4	qυυ	qυυ	PROPN
ejpam-5898	283	5	)	)	PUNCT
ejpam-5898	283	6	+	+	NOUN
ejpam-5898	283	7	b4sτhυ	b4sτhυ	PROPN
ejpam-5898	283	8	(	(	PUNCT
ejpam-5898	283	9	qτ	qτ	NOUN
ejpam-5898	283	10	)	)	PUNCT
ejpam-5898	284	1	+	+	CCONJ
ejpam-5898	284	2	b5sτhυ	b5sτhυ	PROPN
ejpam-5898	284	3	(	(	PUNCT
ejpam-5898	284	4	qυ	qυ	NOUN
ejpam-5898	284	5	)	)	PUNCT
ejpam-5898	284	6	+	+	NOUN
ejpam-5898	284	7	b6sτhυ	b6sτhυ	INTJ
ejpam-5898	284	8	(	(	PUNCT
ejpam-5898	284	9	q	q	X
ejpam-5898	284	10	(	(	PUNCT
ejpam-5898	284	11	τ	τ	PROPN
ejpam-5898	284	12	,	,	PUNCT
ejpam-5898	284	13	υ	υ	NOUN
ejpam-5898	284	14	)	)	PUNCT
ejpam-5898	284	15	)	)	PUNCT
ejpam-5898	285	1	=	=	PRON
ejpam-5898	285	2	sτhυ	sτhυ	X
ejpam-5898	285	3	(	(	PUNCT
ejpam-5898	285	4	k	k	X
ejpam-5898	285	5	(	(	PUNCT
ejpam-5898	285	6	τ	τ	PROPN
ejpam-5898	285	7	,	,	PUNCT
ejpam-5898	285	8	υ	υ	NOUN
ejpam-5898	285	9	)	)	PUNCT
ejpam-5898	285	10	)	)	PUNCT
ejpam-5898	285	11	(	(	PUNCT
ejpam-5898	285	12	20	20	NUM
ejpam-5898	285	13	)	)	PUNCT
ejpam-5898	285	14	by	by	ADP
ejpam-5898	285	15	the	the	DET
ejpam-5898	285	16	properties	property	NOUN
ejpam-5898	285	17	of	of	ADP
ejpam-5898	285	18	the	the	DET
ejpam-5898	285	19	derivatives	derivative	NOUN
ejpam-5898	285	20	in	in	ADP
ejpam-5898	285	21	equations	equation	NOUN
ejpam-5898	285	22	(	(	PUNCT
ejpam-5898	285	23	12)−	12)−	NUM
ejpam-5898	285	24	(	(	PUNCT
ejpam-5898	285	25	16	16	NUM
ejpam-5898	285	26	)	)	PUNCT
ejpam-5898	285	27	,	,	PUNCT
ejpam-5898	285	28	we	we	PRON
ejpam-5898	285	29	get	get	VERB
ejpam-5898	285	30	b1	b1	NOUN
ejpam-5898	285	31	(	(	PUNCT
ejpam-5898	285	32	1	1	NUM
ejpam-5898	285	33	κ2	κ2	PROPN
ejpam-5898	285	34	q(κ	q(κ	PROPN
ejpam-5898	285	35	,	,	PUNCT
ejpam-5898	285	36	λ	λ	PROPN
ejpam-5898	285	37	,	,	PUNCT
ejpam-5898	285	38	µ)−	µ)−	VERB
ejpam-5898	285	39	1	1	NUM
ejpam-5898	285	40	κ2	κ2	NOUN
ejpam-5898	285	41	t1(υ)−	t1(υ)−	ADP
ejpam-5898	285	42	1	1	NUM
ejpam-5898	285	43	κ	κ	NOUN
ejpam-5898	285	44	t2(υ	t2(υ	NOUN
ejpam-5898	285	45	)	)	PUNCT
ejpam-5898	285	46	)	)	PUNCT
ejpam-5898	286	1	+	+	NOUN
ejpam-5898	286	2	b2	b2	NOUN
ejpam-5898	286	3	(	(	PUNCT
ejpam-5898	286	4	λ	λ	X
ejpam-5898	286	5	κµ	κµ	ADP
ejpam-5898	286	6	q(κ	q(κ	PROPN
ejpam-5898	286	7	,	,	PUNCT
ejpam-5898	286	8	λ	λ	PROPN
ejpam-5898	286	9	,	,	PUNCT
ejpam-5898	286	10	µ)−	µ)−	VERB
ejpam-5898	286	11	1	1	NUM
ejpam-5898	286	12	κ	κ	NOUN
ejpam-5898	286	13	r1(τ)−	r1(τ)−	X
ejpam-5898	286	14	λ	λ	X
ejpam-5898	286	15	µ	µ	X
ejpam-5898	286	16	t1(υ	t1(υ	PROPN
ejpam-5898	286	17	)	)	PUNCT
ejpam-5898	286	18	+	+	NUM
ejpam-5898	286	19	ψ	ψ	X
ejpam-5898	286	20	)	)	PUNCT
ejpam-5898	286	21	+	+	NUM
ejpam-5898	286	22	b3	b3	PROPN
ejpam-5898	286	23	(	(	PUNCT
ejpam-5898	286	24	λ2	λ2	PROPN
ejpam-5898	286	25	µ2	µ2	PROPN
ejpam-5898	286	26	q(κ	q(κ	PROPN
ejpam-5898	286	27	,	,	PUNCT
ejpam-5898	286	28	λ	λ	PROPN
ejpam-5898	286	29	,	,	PUNCT
ejpam-5898	286	30	µ)−	µ)−	NOUN
ejpam-5898	286	31	λ	λ	PROPN
ejpam-5898	286	32	µ	µ	X
ejpam-5898	286	33	r1(τ)−r2(τ	r1(τ)−r2(τ	NUM
ejpam-5898	286	34	)	)	PUNCT
ejpam-5898	286	35	)	)	PUNCT
ejpam-5898	287	1	+	+	X
ejpam-5898	287	2	b4	b4	NOUN
ejpam-5898	287	3	(	(	PUNCT
ejpam-5898	287	4	1	1	NUM
ejpam-5898	287	5	κ	κ	PRON
ejpam-5898	287	6	q(κ	q(κ	PROPN
ejpam-5898	287	7	,	,	PUNCT
ejpam-5898	287	8	λ	λ	PROPN
ejpam-5898	287	9	,	,	PUNCT
ejpam-5898	287	10	µ)−	µ)−	VERB
ejpam-5898	287	11	1	1	NUM
ejpam-5898	287	12	κ	κ	PRON
ejpam-5898	287	13	t1(υ	t1(υ	PROPN
ejpam-5898	287	14	)	)	PUNCT
ejpam-5898	287	15	)	)	PUNCT
ejpam-5898	288	1	+	+	VERB
ejpam-5898	288	2	b5	b5	PROPN
ejpam-5898	288	3	(	(	PUNCT
ejpam-5898	288	4	λ	λ	PROPN
ejpam-5898	288	5	µ	µ	X
ejpam-5898	288	6	q(κ	q(κ	PROPN
ejpam-5898	288	7	,	,	PUNCT
ejpam-5898	288	8	λ	λ	PROPN
ejpam-5898	288	9	,	,	PUNCT
ejpam-5898	288	10	µ)q(κ	µ)q(κ	PROPN
ejpam-5898	288	11	,	,	PUNCT
ejpam-5898	288	12	λ	λ	NOUN
ejpam-5898	288	13	,	,	PUNCT
ejpam-5898	288	14	µ)−r1(τ	µ)−r1(τ	NOUN
ejpam-5898	288	15	)	)	PUNCT
ejpam-5898	288	16	)	)	PUNCT
ejpam-5898	289	1	+	+	ADV
ejpam-5898	289	2	b6q(κ	b6q(κ	PROPN
ejpam-5898	289	3	,	,	PUNCT
ejpam-5898	289	4	λ	λ	PROPN
ejpam-5898	289	5	,	,	PUNCT
ejpam-5898	289	6	µ	µ	NOUN
ejpam-5898	289	7	)	)	PUNCT
ejpam-5898	289	8	=	=	SYM
ejpam-5898	289	9	k(κ	k(κ	PROPN
ejpam-5898	289	10	,	,	PUNCT
ejpam-5898	289	11	λ	λ	PROPN
ejpam-5898	289	12	,	,	PUNCT
ejpam-5898	289	13	µ	µ	NOUN
ejpam-5898	289	14	)	)	PUNCT
ejpam-5898	289	15	(	(	PUNCT
ejpam-5898	289	16	21	21	NUM
ejpam-5898	289	17	)	)	PUNCT
ejpam-5898	289	18	simplify	simplify	ADJ
ejpam-5898	289	19	equation	equation	NOUN
ejpam-5898	289	20	21	21	NUM
ejpam-5898	289	21	as	as	ADP
ejpam-5898	289	22	following	follow	VERB
ejpam-5898	289	23	q(κ	q(κ	PROPN
ejpam-5898	289	24	,	,	PUNCT
ejpam-5898	289	25	λ	λ	PROPN
ejpam-5898	289	26	,	,	PUNCT
ejpam-5898	289	27	µ	µ	NOUN
ejpam-5898	289	28	)	)	PUNCT
ejpam-5898	289	29	=(	=(	NOUN
ejpam-5898	289	30	b1	b1	NOUN
ejpam-5898	289	31	1	1	NUM
ejpam-5898	289	32	κ2	κ2	NOUN
ejpam-5898	289	33	+	+	NOUN
ejpam-5898	289	34	b2	b2	NOUN
ejpam-5898	289	35	λ	λ	PROPN
ejpam-5898	289	36	µ	µ	X
ejpam-5898	289	37	+	+	NOUN
ejpam-5898	289	38	b4	b4	NOUN
ejpam-5898	289	39	1	1	NUM
ejpam-5898	289	40	κ	κ	NOUN
ejpam-5898	289	41	)	)	PUNCT
ejpam-5898	289	42	t1	t1	PROPN
ejpam-5898	290	1	+	+	NOUN
ejpam-5898	291	1	b1	b1	NOUN
ejpam-5898	291	2	1	1	NUM
ejpam-5898	291	3	κt2	κt2	NOUN
ejpam-5898	291	4	+	+	CCONJ
ejpam-5898	291	5	(	(	PUNCT
ejpam-5898	291	6	b2	b2	PROPN
ejpam-5898	291	7	1	1	NUM
ejpam-5898	291	8	κ	κ	NOUN
ejpam-5898	291	9	+	+	PROPN
ejpam-5898	291	10	b3	b3	NOUN
ejpam-5898	291	11	λ	λ	PROPN
ejpam-5898	291	12	µ	µ	PRON
ejpam-5898	291	13	+	+	PROPN
ejpam-5898	291	14	b5	b5	PROPN
ejpam-5898	291	15	)	)	PUNCT
ejpam-5898	292	1	r1	r1	PROPN
ejpam-5898	293	1	+	+	PROPN
ejpam-5898	293	2	b3r2	b3r2	PROPN
ejpam-5898	293	3	−b2ψ+k	−b2ψ+k	NOUN
ejpam-5898	293	4	b1	b1	VERB
ejpam-5898	293	5	1	1	NUM
ejpam-5898	293	6	κ2	κ2	NOUN
ejpam-5898	293	7	+	+	NOUN
ejpam-5898	293	8	b2	b2	NOUN
ejpam-5898	293	9	λ	λ	NOUN
ejpam-5898	293	10	κµ	κµ	ADP
ejpam-5898	293	11	+	+	NOUN
ejpam-5898	293	12	b3	b3	NOUN
ejpam-5898	293	13	λ2	λ2	NOUN
ejpam-5898	293	14	µ2	µ2	PROPN
ejpam-5898	293	15	+	+	INTJ
ejpam-5898	293	16	b4	b4	PROPN
ejpam-5898	293	17	1	1	NUM
ejpam-5898	293	18	κ	κ	X
ejpam-5898	293	19	+	+	PROPN
ejpam-5898	293	20	b5	b5	PROPN
ejpam-5898	293	21	λ	λ	PROPN
ejpam-5898	293	22	µ	µ	X
ejpam-5898	293	23	+	+	PROPN
ejpam-5898	293	24	b6	b6	NOUN
ejpam-5898	293	25	(	(	PUNCT
ejpam-5898	293	26	22	22	NUM
ejpam-5898	293	27	)	)	PUNCT
ejpam-5898	293	28	example	example	NOUN
ejpam-5898	294	1	1	1	NUM
ejpam-5898	294	2	.	.	X
ejpam-5898	294	3	consider	consider	VERB
ejpam-5898	294	4	the	the	DET
ejpam-5898	294	5	heat	heat	NOUN
ejpam-5898	294	6	equation	equation	NOUN
ejpam-5898	294	7	qττ	qττ	X
ejpam-5898	294	8	=	=	PUNCT
ejpam-5898	294	9	2qυ	2qυ	NOUN
ejpam-5898	294	10	−	−	PROPN
ejpam-5898	295	1	3q(τ	3q(τ	NUM
ejpam-5898	295	2	,	,	PUNCT
ejpam-5898	295	3	υ	υ	NOUN
ejpam-5898	295	4	)	)	PUNCT
ejpam-5898	295	5	+	+	NOUN
ejpam-5898	295	6	3	3	NUM
ejpam-5898	295	7	,	,	PUNCT
ejpam-5898	295	8	where	where	SCONJ
ejpam-5898	295	9	τ	τ	PROPN
ejpam-5898	295	10	,	,	PUNCT
ejpam-5898	295	11	υ	υ	PRON
ejpam-5898	295	12	≥	≥	NOUN
ejpam-5898	295	13	0	0	NUM
ejpam-5898	295	14	with	with	ADP
ejpam-5898	295	15	ic	ic	PROPN
ejpam-5898	295	16	q(τ	q(τ	PROPN
ejpam-5898	295	17	,	,	PUNCT
ejpam-5898	295	18	0	0	NUM
ejpam-5898	295	19	)	)	PUNCT
ejpam-5898	295	20	=	=	SYM
ejpam-5898	295	21	1−	1−	NUM
ejpam-5898	295	22	2	2	NUM
ejpam-5898	295	23	sin	sin	NOUN
ejpam-5898	295	24	τ	τ	PROPN
ejpam-5898	295	25	and	and	CCONJ
ejpam-5898	295	26	bcs	bc	NOUN
ejpam-5898	295	27	q	q	X
ejpam-5898	295	28	(	(	PUNCT
ejpam-5898	295	29	0	0	NUM
ejpam-5898	295	30	,	,	PUNCT
ejpam-5898	295	31	υ	υ	NOUN
ejpam-5898	295	32	)	)	PUNCT
ejpam-5898	295	33	=	=	SYM
ejpam-5898	295	34	1	1	NUM
ejpam-5898	295	35	,	,	PUNCT
ejpam-5898	295	36	qτ	qτ	ADP
ejpam-5898	295	37	(	(	PUNCT
ejpam-5898	295	38	0	0	NUM
ejpam-5898	295	39	,	,	PUNCT
ejpam-5898	295	40	υ	υ	NOUN
ejpam-5898	295	41	)	)	PUNCT
ejpam-5898	295	42	=	=	SYM
ejpam-5898	295	43	−2eυ	−2eυ	NOUN
ejpam-5898	295	44	solution	solution	NOUN
ejpam-5898	295	45	1	1	NUM
ejpam-5898	295	46	.	.	PUNCT
ejpam-5898	296	1	by	by	ADP
ejpam-5898	296	2	applying	apply	VERB
ejpam-5898	296	3	the	the	DET
ejpam-5898	296	4	single	single	ADJ
ejpam-5898	296	5	sumudu	sumudu	NOUN
ejpam-5898	296	6	transform	transform	NOUN
ejpam-5898	296	7	to	to	ADP
ejpam-5898	296	8	the	the	DET
ejpam-5898	296	9	ic	ic	PROPN
ejpam-5898	296	10	and	and	CCONJ
ejpam-5898	296	11	the	the	DET
ejpam-5898	296	12	single	single	ADJ
ejpam-5898	296	13	shehu	shehu	NOUN
ejpam-5898	296	14	transform	transform	VERB
ejpam-5898	296	15	to	to	ADP
ejpam-5898	296	16	the	the	DET
ejpam-5898	296	17	bcs	bc	NOUN
ejpam-5898	296	18	,	,	PUNCT
ejpam-5898	296	19	we	we	PRON
ejpam-5898	296	20	get	get	VERB
ejpam-5898	296	21	r1	r1	PROPN
ejpam-5898	296	22	=	=	SYM
ejpam-5898	296	23	1−	1−	NUM
ejpam-5898	296	24	2κ	2κ	NUM
ejpam-5898	296	25	1+κ2	1+κ2	NUM
ejpam-5898	296	26	,	,	PUNCT
ejpam-5898	296	27	t1	t1	NOUN
ejpam-5898	296	28	=	=	PUNCT
ejpam-5898	296	29	µ	µ	PRON
ejpam-5898	296	30	λ	λ	PROPN
ejpam-5898	296	31	,	,	PUNCT
ejpam-5898	296	32	t2	t2	NOUN
ejpam-5898	296	33	=	=	PUNCT
ejpam-5898	296	34	−2µ	−2µ	PROPN
ejpam-5898	296	35	λ−µ	λ−µ	PROPN
ejpam-5898	296	36	and	and	CCONJ
ejpam-5898	296	37	k(κ	k(κ	PROPN
ejpam-5898	296	38	,	,	PUNCT
ejpam-5898	296	39	λ	λ	PROPN
ejpam-5898	296	40	,	,	PUNCT
ejpam-5898	296	41	µ	µ	NOUN
ejpam-5898	296	42	)	)	PUNCT
ejpam-5898	296	43	=	=	VERB
ejpam-5898	297	1	sτhυ	sτhυ	X
ejpam-5898	297	2	(	(	PUNCT
ejpam-5898	297	3	3	3	NUM
ejpam-5898	297	4	)	)	PUNCT
ejpam-5898	297	5	=	=	SYM
ejpam-5898	298	1	3µ	3µ	NUM
ejpam-5898	298	2	λ	λ	PROPN
ejpam-5898	298	3	m.	m.	PROPN
ejpam-5898	298	4	al	al	PROPN
ejpam-5898	298	5	-	-	PUNCT
ejpam-5898	298	6	momani	momani	X
ejpam-5898	298	7	et	et	PROPN
ejpam-5898	298	8	al	al	PROPN
ejpam-5898	298	9	.	.	PUNCT
ejpam-5898	298	10	/	/	SYM
ejpam-5898	298	11	eur	eur	PROPN
ejpam-5898	298	12	.	.	PUNCT
ejpam-5898	299	1	j.	j.	PROPN
ejpam-5898	299	2	pure	pure	PROPN
ejpam-5898	299	3	appl	appl	PROPN
ejpam-5898	299	4	.	.	PROPN
ejpam-5898	299	5	math	math	PROPN
ejpam-5898	299	6	,	,	PUNCT
ejpam-5898	299	7	18	18	NUM
ejpam-5898	299	8	(	(	PUNCT
ejpam-5898	299	9	2	2	NUM
ejpam-5898	299	10	)	)	PUNCT
ejpam-5898	299	11	(	(	PUNCT
ejpam-5898	299	12	2025	2025	NUM
ejpam-5898	299	13	)	)	PUNCT
ejpam-5898	299	14	,	,	PUNCT
ejpam-5898	299	15	5898	5898	NUM
ejpam-5898	299	16	12	12	NUM
ejpam-5898	299	17	of	of	ADP
ejpam-5898	299	18	18	18	NUM
ejpam-5898	299	19	substitute	substitute	NOUN
ejpam-5898	299	20	in	in	ADP
ejpam-5898	299	21	equation	equation	NOUN
ejpam-5898	299	22	(	(	PUNCT
ejpam-5898	299	23	22	22	NUM
ejpam-5898	299	24	)	)	PUNCT
ejpam-5898	299	25	b1	b1	NOUN
ejpam-5898	299	26	=	=	SYM
ejpam-5898	299	27	1	1	NUM
ejpam-5898	299	28	,	,	PUNCT
ejpam-5898	299	29	b5	b5	NOUN
ejpam-5898	299	30	=	=	PUNCT
ejpam-5898	299	31	−2	−2	PROPN
ejpam-5898	299	32	,	,	PUNCT
ejpam-5898	299	33	b6	b6	NOUN
ejpam-5898	299	34	=	=	SYM
ejpam-5898	299	35	3	3	NUM
ejpam-5898	299	36	,	,	PUNCT
ejpam-5898	299	37	b2	b2	NOUN
ejpam-5898	299	38	=	=	SYM
ejpam-5898	299	39	b3	b3	PROPN
ejpam-5898	299	40	=	=	SYM
ejpam-5898	299	41	b4	b4	NOUN
ejpam-5898	299	42	=	=	SYM
ejpam-5898	299	43	0	0	NUM
ejpam-5898	299	44	and	and	CCONJ
ejpam-5898	299	45	the	the	DET
ejpam-5898	299	46	values	value	NOUN
ejpam-5898	299	47	of	of	ADP
ejpam-5898	299	48	r1	r1	PROPN
ejpam-5898	299	49	,	,	PUNCT
ejpam-5898	299	50	t1	t1	PROPN
ejpam-5898	299	51	,	,	PUNCT
ejpam-5898	299	52	t2	t2	NOUN
ejpam-5898	299	53	and	and	CCONJ
ejpam-5898	299	54	k	k	NOUN
ejpam-5898	299	55	,	,	PUNCT
ejpam-5898	299	56	we	we	PRON
ejpam-5898	299	57	get	get	VERB
ejpam-5898	299	58	q(κ	q(κ	PROPN
ejpam-5898	299	59	,	,	PUNCT
ejpam-5898	299	60	λ	λ	PROPN
ejpam-5898	299	61	,	,	PUNCT
ejpam-5898	299	62	µ	µ	NOUN
ejpam-5898	299	63	)	)	PUNCT
ejpam-5898	299	64	=	=	SYM
ejpam-5898	300	1	µ	µ	X
ejpam-5898	300	2	κ2λ	κ2λ	VERB
ejpam-5898	300	3	−	−	PROPN
ejpam-5898	300	4	2µ	2µ	NUM
ejpam-5898	300	5	κ(λ−µ	κ(λ−µ	PROPN
ejpam-5898	300	6	)	)	PUNCT
ejpam-5898	300	7	−	−	PROPN
ejpam-5898	300	8	2	2	NUM
ejpam-5898	301	1	+	+	NUM
ejpam-5898	301	2	4κ	4κ	PROPN
ejpam-5898	301	3	1+κ2	1+κ2	NUM
ejpam-5898	302	1	+	+	CCONJ
ejpam-5898	302	2	3µ	3µ	NUM
ejpam-5898	302	3	λ	λ	PROPN
ejpam-5898	302	4	1	1	NUM
ejpam-5898	302	5	κ2	κ2	NOUN
ejpam-5898	302	6	−	−	PROPN
ejpam-5898	302	7	2λ	2λ	PROPN
ejpam-5898	302	8	µ	µ	X
ejpam-5898	302	9	+	+	CCONJ
ejpam-5898	302	10	3	3	NUM
ejpam-5898	302	11	=	=	SYM
ejpam-5898	302	12	3κ2µ−2κ2λ+µ	3κ2µ−2κ2λ+µ	NUM
ejpam-5898	302	13	κ2λ	κ2λ	VERB
ejpam-5898	302	14	−	−	PROPN
ejpam-5898	302	15	2(3κ2µ−2κ2λ+µ	2(3κ2µ−2κ2λ+µ	NUM
ejpam-5898	302	16	)	)	PUNCT
ejpam-5898	302	17	κ(1+κ2)(λ−µ	κ(1+κ2)(λ−µ	PROPN
ejpam-5898	302	18	)	)	PUNCT
ejpam-5898	302	19	3κ2µ−2κ2λ+µ	3κ2µ−2κ2λ+µ	NUM
ejpam-5898	302	20	κ2µ	κ2µ	NOUN
ejpam-5898	302	21	=	=	SYM
ejpam-5898	302	22	µ	µ	X
ejpam-5898	302	23	λ	λ	NOUN
ejpam-5898	302	24	−	−	PROPN
ejpam-5898	302	25	2κµ	2κµ	ADJ
ejpam-5898	302	26	(	(	PUNCT
ejpam-5898	302	27	1	1	NUM
ejpam-5898	302	28	+	+	NUM
ejpam-5898	302	29	κ2	κ2	NOUN
ejpam-5898	302	30	)	)	PUNCT
ejpam-5898	302	31	(	(	PUNCT
ejpam-5898	302	32	λ−	λ−	PROPN
ejpam-5898	302	33	µ	µ	X
ejpam-5898	302	34	)	)	PUNCT
ejpam-5898	302	35	so	so	ADV
ejpam-5898	302	36	,	,	PUNCT
ejpam-5898	302	37	q(τ	q(τ	ADJ
ejpam-5898	302	38	,	,	PUNCT
ejpam-5898	302	39	υ	υ	NOUN
ejpam-5898	302	40	)	)	PUNCT
ejpam-5898	302	41	=	=	PUNCT
ejpam-5898	303	1	s−1	s−1	NOUN
ejpam-5898	303	2	τ	τ	X
ejpam-5898	303	3	h−1	h−1	PROPN
ejpam-5898	303	4	υ	υ	X
ejpam-5898	303	5	(	(	PUNCT
ejpam-5898	303	6	µ	µ	X
ejpam-5898	303	7	λ	λ	NOUN
ejpam-5898	303	8	−	−	PROPN
ejpam-5898	303	9	2κµ	2κµ	ADJ
ejpam-5898	303	10	(	(	PUNCT
ejpam-5898	303	11	1	1	NUM
ejpam-5898	303	12	+	+	NUM
ejpam-5898	303	13	κ2	κ2	NOUN
ejpam-5898	303	14	)	)	PUNCT
ejpam-5898	303	15	(	(	PUNCT
ejpam-5898	303	16	λ−	λ−	PROPN
ejpam-5898	303	17	µ	µ	NUM
ejpam-5898	303	18	)	)	PUNCT
ejpam-5898	303	19	)	)	PUNCT
ejpam-5898	304	1	=	=	SYM
ejpam-5898	305	1	1−	1−	NUM
ejpam-5898	305	2	2eυ	2eυ	ADJ
ejpam-5898	305	3	sin	sin	NOUN
ejpam-5898	305	4	τ	τ	PROPN
ejpam-5898	305	5	the	the	DET
ejpam-5898	305	6	graph	graph	NOUN
ejpam-5898	305	7	of	of	ADP
ejpam-5898	305	8	the	the	DET
ejpam-5898	305	9	exact	exact	ADJ
ejpam-5898	305	10	solution	solution	NOUN
ejpam-5898	305	11	is	be	AUX
ejpam-5898	305	12	figure	figure	NOUN
ejpam-5898	305	13	1	1	NUM
ejpam-5898	305	14	:	:	PUNCT
ejpam-5898	305	15	the	the	DET
ejpam-5898	305	16	solution	solution	NOUN
ejpam-5898	305	17	q(τ	q(τ	VERB
ejpam-5898	305	18	,	,	PUNCT
ejpam-5898	305	19	υ	υ	NOUN
ejpam-5898	305	20	)	)	PUNCT
ejpam-5898	305	21	of	of	ADP
ejpam-5898	305	22	example	example	NOUN
ejpam-5898	305	23	1	1	NUM
ejpam-5898	305	24	m.	m.	NOUN
ejpam-5898	305	25	al	al	PROPN
ejpam-5898	305	26	-	-	PUNCT
ejpam-5898	305	27	momani	momani	X
ejpam-5898	305	28	et	et	PROPN
ejpam-5898	305	29	al	al	PROPN
ejpam-5898	305	30	.	.	PUNCT
ejpam-5898	305	31	/	/	SYM
ejpam-5898	305	32	eur	eur	PROPN
ejpam-5898	305	33	.	.	PUNCT
ejpam-5898	306	1	j.	j.	PROPN
ejpam-5898	306	2	pure	pure	PROPN
ejpam-5898	306	3	appl	appl	PROPN
ejpam-5898	306	4	.	.	PROPN
ejpam-5898	306	5	math	math	PROPN
ejpam-5898	306	6	,	,	PUNCT
ejpam-5898	306	7	18	18	NUM
ejpam-5898	306	8	(	(	PUNCT
ejpam-5898	306	9	2	2	NUM
ejpam-5898	306	10	)	)	PUNCT
ejpam-5898	306	11	(	(	PUNCT
ejpam-5898	306	12	2025	2025	NUM
ejpam-5898	306	13	)	)	PUNCT
ejpam-5898	306	14	,	,	PUNCT
ejpam-5898	306	15	5898	5898	NUM
ejpam-5898	306	16	13	13	NUM
ejpam-5898	306	17	of	of	ADP
ejpam-5898	306	18	18	18	NUM
ejpam-5898	306	19	example	example	NOUN
ejpam-5898	306	20	2	2	NUM
ejpam-5898	306	21	.	.	X
ejpam-5898	306	22	consider	consider	VERB
ejpam-5898	306	23	the	the	DET
ejpam-5898	306	24	advection	advection	NOUN
ejpam-5898	306	25	-	-	PUNCT
ejpam-5898	306	26	diffusion	diffusion	NOUN
ejpam-5898	306	27	equation	equation	NOUN
ejpam-5898	306	28	qυ	qυ	X
ejpam-5898	306	29	=	=	PUNCT
ejpam-5898	306	30	qττ	qττ	INTJ
ejpam-5898	306	31	−	−	PROPN
ejpam-5898	306	32	2qτ	2qτ	PROPN
ejpam-5898	306	33	,	,	PUNCT
ejpam-5898	306	34	where	where	SCONJ
ejpam-5898	306	35	τ	τ	PROPN
ejpam-5898	306	36	,	,	PUNCT
ejpam-5898	306	37	υ	υ	PRON
ejpam-5898	306	38	≥	≥	NOUN
ejpam-5898	306	39	0	0	NUM
ejpam-5898	306	40	with	with	ADP
ejpam-5898	306	41	ic	ic	PROPN
ejpam-5898	306	42	q(τ	q(τ	PROPN
ejpam-5898	306	43	,	,	PUNCT
ejpam-5898	306	44	0	0	NUM
ejpam-5898	306	45	)	)	PUNCT
ejpam-5898	307	1	=	=	PUNCT
ejpam-5898	307	2	e2τ	e2τ	PROPN
ejpam-5898	307	3	−	−	X
ejpam-5898	307	4	τ	τ	PROPN
ejpam-5898	307	5	and	and	CCONJ
ejpam-5898	307	6	bcs	bcs	PROPN
ejpam-5898	307	7	q	q	X
ejpam-5898	307	8	(	(	PUNCT
ejpam-5898	307	9	0	0	NUM
ejpam-5898	307	10	,	,	PUNCT
ejpam-5898	307	11	υ	υ	NOUN
ejpam-5898	307	12	)	)	PUNCT
ejpam-5898	307	13	=	=	NOUN
ejpam-5898	307	14	2υ	2υ	NOUN
ejpam-5898	308	1	+	+	SYM
ejpam-5898	308	2	1	1	NUM
ejpam-5898	308	3	,	,	PUNCT
ejpam-5898	308	4	qτ	qτ	ADP
ejpam-5898	308	5	(	(	PUNCT
ejpam-5898	308	6	0	0	NUM
ejpam-5898	308	7	,	,	PUNCT
ejpam-5898	308	8	υ	υ	NOUN
ejpam-5898	308	9	)	)	PUNCT
ejpam-5898	308	10	=	=	SYM
ejpam-5898	308	11	1	1	NUM
ejpam-5898	308	12	solution	solution	NOUN
ejpam-5898	308	13	2	2	NUM
ejpam-5898	308	14	.	.	PUNCT
ejpam-5898	309	1	by	by	ADP
ejpam-5898	309	2	applying	apply	VERB
ejpam-5898	309	3	the	the	DET
ejpam-5898	309	4	single	single	ADJ
ejpam-5898	309	5	sumudu	sumudu	NOUN
ejpam-5898	309	6	transform	transform	NOUN
ejpam-5898	309	7	to	to	ADP
ejpam-5898	309	8	the	the	DET
ejpam-5898	309	9	ic	ic	PROPN
ejpam-5898	309	10	and	and	CCONJ
ejpam-5898	309	11	the	the	DET
ejpam-5898	309	12	single	single	ADJ
ejpam-5898	309	13	shehu	shehu	NOUN
ejpam-5898	309	14	transform	transform	VERB
ejpam-5898	309	15	to	to	ADP
ejpam-5898	309	16	the	the	DET
ejpam-5898	309	17	bcs	bc	NOUN
ejpam-5898	309	18	,	,	PUNCT
ejpam-5898	309	19	we	we	PRON
ejpam-5898	309	20	get	get	VERB
ejpam-5898	309	21	r1	r1	NOUN
ejpam-5898	309	22	=	=	PUNCT
ejpam-5898	309	23	1	1	NUM
ejpam-5898	309	24	1−2κ	1−2κ	NUM
ejpam-5898	309	25	−	−	PROPN
ejpam-5898	309	26	κ	κ	NOUN
ejpam-5898	309	27	,	,	PUNCT
ejpam-5898	309	28	t1	t1	NOUN
ejpam-5898	309	29	=	=	NOUN
ejpam-5898	309	30	2µ2	2µ2	NUM
ejpam-5898	309	31	λ2	λ2	NOUN
ejpam-5898	309	32	+	+	CCONJ
ejpam-5898	309	33	µ	µ	X
ejpam-5898	309	34	λ	λ	NOUN
ejpam-5898	309	35	,	,	PUNCT
ejpam-5898	309	36	t2	t2	NOUN
ejpam-5898	309	37	=	=	SYM
ejpam-5898	309	38	µ	µ	X
ejpam-5898	309	39	λ	λ	NOUN
ejpam-5898	309	40	substitute	substitute	NOUN
ejpam-5898	309	41	in	in	ADP
ejpam-5898	309	42	equation	equation	NOUN
ejpam-5898	309	43	(	(	PUNCT
ejpam-5898	309	44	22	22	NUM
ejpam-5898	309	45	)	)	PUNCT
ejpam-5898	309	46	b1	b1	NOUN
ejpam-5898	309	47	=	=	SYM
ejpam-5898	309	48	1	1	NUM
ejpam-5898	309	49	,	,	PUNCT
ejpam-5898	309	50	b4	b4	NOUN
ejpam-5898	309	51	=	=	SYM
ejpam-5898	309	52	−2	−2	NOUN
ejpam-5898	309	53	,	,	PUNCT
ejpam-5898	309	54	b5	b5	PROPN
ejpam-5898	309	55	=	=	PUNCT
ejpam-5898	309	56	−1	−1	NOUN
ejpam-5898	309	57	,	,	PUNCT
ejpam-5898	309	58	b2	b2	NOUN
ejpam-5898	309	59	=	=	SYM
ejpam-5898	309	60	b3	b3	PROPN
ejpam-5898	309	61	=	=	SYM
ejpam-5898	309	62	b6	b6	NOUN
ejpam-5898	309	63	=	=	SYM
ejpam-5898	309	64	0	0	NUM
ejpam-5898	309	65	and	and	CCONJ
ejpam-5898	309	66	the	the	DET
ejpam-5898	309	67	values	value	NOUN
ejpam-5898	309	68	of	of	ADP
ejpam-5898	309	69	r1	r1	PROPN
ejpam-5898	309	70	,	,	PUNCT
ejpam-5898	309	71	t1	t1	NOUN
ejpam-5898	309	72	and	and	CCONJ
ejpam-5898	309	73	t2	t2	NOUN
ejpam-5898	309	74	,	,	PUNCT
ejpam-5898	309	75	we	we	PRON
ejpam-5898	309	76	get	get	VERB
ejpam-5898	309	77	q(κ	q(κ	PROPN
ejpam-5898	309	78	,	,	PUNCT
ejpam-5898	309	79	λ	λ	PROPN
ejpam-5898	309	80	,	,	PUNCT
ejpam-5898	309	81	µ	µ	NOUN
ejpam-5898	309	82	)	)	PUNCT
ejpam-5898	309	83	=	=	SYM
ejpam-5898	310	1	−4κµ2+λµ−2κλµ+2µ2	−4κµ2+λµ−2κλµ+2µ2	PROPN
ejpam-5898	310	2	κ2λ2	κ2λ2	NOUN
ejpam-5898	310	3	+	+	NUM
ejpam-5898	310	4	µ	µ	PRON
ejpam-5898	310	5	κλ	κλ	NOUN
ejpam-5898	310	6	−	−	PROPN
ejpam-5898	310	7	1	1	NUM
ejpam-5898	310	8	1−2κ	1−2κ	NUM
ejpam-5898	310	9	+	+	CCONJ
ejpam-5898	310	10	κ	κ	PROPN
ejpam-5898	310	11	1	1	NUM
ejpam-5898	310	12	κ2	κ2	NOUN
ejpam-5898	310	13	−	−	ADP
ejpam-5898	310	14	2	2	NUM
ejpam-5898	310	15	κ	κ	NOUN
ejpam-5898	310	16	−	−	PROPN
ejpam-5898	310	17	λ	λ	PROPN
ejpam-5898	310	18	µ	µ	X
ejpam-5898	310	19	by	by	ADP
ejpam-5898	310	20	simplify	simplify	NOUN
ejpam-5898	310	21	,	,	PUNCT
ejpam-5898	310	22	q(κ	q(κ	PROPN
ejpam-5898	310	23	,	,	PUNCT
ejpam-5898	310	24	λ	λ	PROPN
ejpam-5898	310	25	,	,	PUNCT
ejpam-5898	310	26	µ	µ	NOUN
ejpam-5898	310	27	)	)	PUNCT
ejpam-5898	310	28	=	=	SYM
ejpam-5898	310	29	2µ2	2µ2	NUM
ejpam-5898	310	30	λ2	λ2	NOUN
ejpam-5898	310	31	+	+	CCONJ
ejpam-5898	310	32	µ	µ	X
ejpam-5898	310	33	(	(	PUNCT
ejpam-5898	310	34	1−	1−	NUM
ejpam-5898	310	35	2κ)λ	2κ)λ	NUM
ejpam-5898	310	36	−	−	NOUN
ejpam-5898	310	37	κµ	κµ	ADP
ejpam-5898	310	38	λ	λ	PROPN
ejpam-5898	310	39	q(τ	q(τ	PROPN
ejpam-5898	310	40	,	,	PUNCT
ejpam-5898	310	41	υ	υ	NOUN
ejpam-5898	310	42	)	)	PUNCT
ejpam-5898	310	43	=	=	PUNCT
ejpam-5898	311	1	s−1	s−1	NOUN
ejpam-5898	311	2	τ	τ	X
ejpam-5898	311	3	h−1	h−1	PROPN
ejpam-5898	311	4	υ	υ	PROPN
ejpam-5898	311	5	(	(	PUNCT
ejpam-5898	311	6	2µ2	2µ2	NUM
ejpam-5898	311	7	λ2	λ2	NOUN
ejpam-5898	311	8	+	+	CCONJ
ejpam-5898	311	9	µ	µ	X
ejpam-5898	311	10	(	(	PUNCT
ejpam-5898	311	11	1−	1−	NUM
ejpam-5898	311	12	2κ)λ	2κ)λ	NUM
ejpam-5898	311	13	−	−	NOUN
ejpam-5898	311	14	κµ	κµ	ADP
ejpam-5898	311	15	λ	λ	PROPN
ejpam-5898	311	16	)	)	PUNCT
ejpam-5898	312	1	=	=	PUNCT
ejpam-5898	312	2	υ	υ	PROPN
ejpam-5898	313	1	+	+	NUM
ejpam-5898	313	2	e2τ	e2τ	PROPN
ejpam-5898	314	1	−	−	X
ejpam-5898	314	2	τ	τ	X
ejpam-5898	314	3	the	the	DET
ejpam-5898	314	4	graph	graph	NOUN
ejpam-5898	314	5	of	of	ADP
ejpam-5898	314	6	the	the	DET
ejpam-5898	314	7	exact	exact	ADJ
ejpam-5898	314	8	solution	solution	NOUN
ejpam-5898	314	9	is	be	AUX
ejpam-5898	314	10	m.	m.	NOUN
ejpam-5898	314	11	al	al	PROPN
ejpam-5898	314	12	-	-	PUNCT
ejpam-5898	314	13	momani	momani	X
ejpam-5898	314	14	et	et	PROPN
ejpam-5898	314	15	al	al	PROPN
ejpam-5898	314	16	.	.	PUNCT
ejpam-5898	314	17	/	/	SYM
ejpam-5898	314	18	eur	eur	PROPN
ejpam-5898	314	19	.	.	PUNCT
ejpam-5898	315	1	j.	j.	PROPN
ejpam-5898	315	2	pure	pure	PROPN
ejpam-5898	315	3	appl	appl	PROPN
ejpam-5898	315	4	.	.	PROPN
ejpam-5898	315	5	math	math	PROPN
ejpam-5898	315	6	,	,	PUNCT
ejpam-5898	315	7	18	18	NUM
ejpam-5898	315	8	(	(	PUNCT
ejpam-5898	315	9	2	2	NUM
ejpam-5898	315	10	)	)	PUNCT
ejpam-5898	315	11	(	(	PUNCT
ejpam-5898	315	12	2025	2025	NUM
ejpam-5898	315	13	)	)	PUNCT
ejpam-5898	315	14	,	,	PUNCT
ejpam-5898	315	15	5898	5898	NUM
ejpam-5898	315	16	14	14	NUM
ejpam-5898	315	17	of	of	ADP
ejpam-5898	315	18	18	18	NUM
ejpam-5898	315	19	figure	figure	NOUN
ejpam-5898	315	20	2	2	NUM
ejpam-5898	315	21	:	:	PUNCT
ejpam-5898	315	22	the	the	DET
ejpam-5898	315	23	solution	solution	NOUN
ejpam-5898	315	24	q(τ	q(τ	VERB
ejpam-5898	315	25	,	,	PUNCT
ejpam-5898	315	26	υ	υ	NOUN
ejpam-5898	315	27	)	)	PUNCT
ejpam-5898	315	28	of	of	ADP
ejpam-5898	315	29	example	example	NOUN
ejpam-5898	315	30	2	2	NUM
ejpam-5898	315	31	example	example	NOUN
ejpam-5898	315	32	3	3	NUM
ejpam-5898	315	33	.	.	X
ejpam-5898	315	34	consider	consider	VERB
ejpam-5898	315	35	the	the	DET
ejpam-5898	315	36	klein	klein	PROPN
ejpam-5898	315	37	-	-	PUNCT
ejpam-5898	315	38	gordon	gordon	PROPN
ejpam-5898	315	39	equation	equation	NOUN
ejpam-5898	315	40	qττ	qττ	VERB
ejpam-5898	315	41	−	−	PROPN
ejpam-5898	315	42	qυυ	qυυ	ADJ
ejpam-5898	315	43	−	−	PROPN
ejpam-5898	315	44	4q(τ	4q(τ	PROPN
ejpam-5898	315	45	,	,	PUNCT
ejpam-5898	315	46	υ	υ	NOUN
ejpam-5898	315	47	)	)	PUNCT
ejpam-5898	315	48	=	=	SYM
ejpam-5898	316	1	−2	−2	PROPN
ejpam-5898	316	2	sinh	sinh	NOUN
ejpam-5898	316	3	τ	τ	PROPN
ejpam-5898	317	1	cos	cos	ADP
ejpam-5898	317	2	υ	υ	PROPN
ejpam-5898	317	3	with	with	ADP
ejpam-5898	317	4	ics	ic	NOUN
ejpam-5898	317	5	q(τ	q(τ	PROPN
ejpam-5898	317	6	,	,	PUNCT
ejpam-5898	317	7	0	0	NUM
ejpam-5898	317	8	)	)	PUNCT
ejpam-5898	317	9	=	=	VERB
ejpam-5898	317	10	sinh	sinh	PROPN
ejpam-5898	317	11	τ	τ	X
ejpam-5898	317	12	,	,	PUNCT
ejpam-5898	317	13	qυ(τ	qυ(τ	PROPN
ejpam-5898	317	14	,	,	PUNCT
ejpam-5898	317	15	0	0	NUM
ejpam-5898	317	16	)	)	PUNCT
ejpam-5898	317	17	=	=	SYM
ejpam-5898	317	18	0	0	NUM
ejpam-5898	317	19	and	and	CCONJ
ejpam-5898	317	20	bcs	bcs	PRON
ejpam-5898	317	21	q	q	X
ejpam-5898	317	22	(	(	PUNCT
ejpam-5898	317	23	0	0	NUM
ejpam-5898	317	24	,	,	PUNCT
ejpam-5898	317	25	υ	υ	NOUN
ejpam-5898	317	26	)	)	PUNCT
ejpam-5898	317	27	=	=	SYM
ejpam-5898	317	28	0	0	NUM
ejpam-5898	317	29	,	,	PUNCT
ejpam-5898	317	30	qτ	qτ	ADP
ejpam-5898	317	31	(	(	PUNCT
ejpam-5898	317	32	0	0	NUM
ejpam-5898	317	33	,	,	PUNCT
ejpam-5898	317	34	υ	υ	NOUN
ejpam-5898	317	35	)	)	PUNCT
ejpam-5898	317	36	=	=	SYM
ejpam-5898	317	37	cos	cos	ADP
ejpam-5898	317	38	υ	υ	NOUN
ejpam-5898	317	39	solution	solution	NOUN
ejpam-5898	317	40	3	3	NUM
ejpam-5898	317	41	.	.	PUNCT
ejpam-5898	317	42	by	by	ADP
ejpam-5898	317	43	applying	apply	VERB
ejpam-5898	317	44	the	the	DET
ejpam-5898	317	45	single	single	ADJ
ejpam-5898	317	46	sumudu	sumudu	NOUN
ejpam-5898	317	47	transform	transform	NOUN
ejpam-5898	317	48	to	to	ADP
ejpam-5898	317	49	the	the	DET
ejpam-5898	317	50	ics	ic	NOUN
ejpam-5898	317	51	and	and	CCONJ
ejpam-5898	317	52	the	the	DET
ejpam-5898	317	53	single	single	ADJ
ejpam-5898	317	54	shehu	shehu	NOUN
ejpam-5898	317	55	transform	transform	VERB
ejpam-5898	317	56	to	to	ADP
ejpam-5898	317	57	the	the	DET
ejpam-5898	317	58	bcs	bc	NOUN
ejpam-5898	317	59	,	,	PUNCT
ejpam-5898	317	60	we	we	PRON
ejpam-5898	317	61	get	get	VERB
ejpam-5898	317	62	r1	r1	NOUN
ejpam-5898	317	63	=	=	PUNCT
ejpam-5898	317	64	κ	κ	PROPN
ejpam-5898	317	65	1−κ2	1−κ2	NUM
ejpam-5898	317	66	,	,	PUNCT
ejpam-5898	317	67	r2	r2	PROPN
ejpam-5898	317	68	=	=	SYM
ejpam-5898	317	69	0	0	NUM
ejpam-5898	317	70	,	,	PUNCT
ejpam-5898	317	71	t1	t1	NOUN
ejpam-5898	317	72	=	=	SYM
ejpam-5898	317	73	0	0	NUM
ejpam-5898	317	74	,	,	PUNCT
ejpam-5898	317	75	t2	t2	NOUN
ejpam-5898	317	76	=	=	PUNCT
ejpam-5898	317	77	λµ	λµ	PROPN
ejpam-5898	317	78	λ2+µ2	λ2+µ2	PROPN
ejpam-5898	317	79	and	and	CCONJ
ejpam-5898	317	80	k(κ	k(κ	PROPN
ejpam-5898	317	81	,	,	PUNCT
ejpam-5898	317	82	λ	λ	PROPN
ejpam-5898	317	83	,	,	PUNCT
ejpam-5898	317	84	µ	µ	NOUN
ejpam-5898	317	85	)	)	PUNCT
ejpam-5898	317	86	=	=	VERB
ejpam-5898	317	87	sτhυ	sτhυ	X
ejpam-5898	317	88	(	(	PUNCT
ejpam-5898	317	89	−2	−2	PROPN
ejpam-5898	317	90	sinh	sinh	PROPN
ejpam-5898	317	91	τ	τ	PROPN
ejpam-5898	317	92	cos	cos	PROPN
ejpam-5898	317	93	υ	υ	PROPN
ejpam-5898	317	94	)	)	PUNCT
ejpam-5898	317	95	=	=	NUM
ejpam-5898	317	96	−2κλµ	−2κλµ	NOUN
ejpam-5898	317	97	(	(	PUNCT
ejpam-5898	317	98	1−κ2)(λ2+µ2	1−κ2)(λ2+µ2	NUM
ejpam-5898	317	99	)	)	PUNCT
ejpam-5898	317	100	substitute	substitute	NOUN
ejpam-5898	317	101	in	in	ADP
ejpam-5898	317	102	equation	equation	NOUN
ejpam-5898	317	103	(	(	PUNCT
ejpam-5898	317	104	22	22	NUM
ejpam-5898	317	105	)	)	PUNCT
ejpam-5898	317	106	b1	b1	NOUN
ejpam-5898	317	107	=	=	SYM
ejpam-5898	317	108	1	1	NUM
ejpam-5898	317	109	,	,	PUNCT
ejpam-5898	317	110	b3	b3	NOUN
ejpam-5898	317	111	=	=	SYM
ejpam-5898	317	112	−1	−1	NOUN
ejpam-5898	317	113	,	,	PUNCT
ejpam-5898	317	114	b6	b6	NOUN
ejpam-5898	317	115	=	=	SYM
ejpam-5898	317	116	−4	−4	PROPN
ejpam-5898	317	117	,	,	PUNCT
ejpam-5898	317	118	b2	b2	NOUN
ejpam-5898	317	119	=	=	SYM
ejpam-5898	317	120	b4	b4	NOUN
ejpam-5898	317	121	=	=	SYM
ejpam-5898	317	122	b5	b5	PROPN
ejpam-5898	317	123	=	=	SYM
ejpam-5898	317	124	0	0	NUM
ejpam-5898	317	125	and	and	CCONJ
ejpam-5898	317	126	the	the	DET
ejpam-5898	317	127	values	value	NOUN
ejpam-5898	317	128	of	of	ADP
ejpam-5898	317	129	r1	r1	NOUN
ejpam-5898	317	130	,	,	PUNCT
ejpam-5898	317	131	r2	r2	PROPN
ejpam-5898	317	132	,	,	PUNCT
ejpam-5898	317	133	t1	t1	NOUN
ejpam-5898	317	134	,	,	PUNCT
ejpam-5898	317	135	t2	t2	NOUN
ejpam-5898	317	136	and	and	CCONJ
ejpam-5898	317	137	k	k	NOUN
ejpam-5898	317	138	,	,	PUNCT
ejpam-5898	317	139	we	we	PRON
ejpam-5898	317	140	get	get	VERB
ejpam-5898	317	141	q(κ	q(κ	PROPN
ejpam-5898	317	142	,	,	PUNCT
ejpam-5898	317	143	λ	λ	PROPN
ejpam-5898	317	144	,	,	PUNCT
ejpam-5898	317	145	µ	µ	NOUN
ejpam-5898	317	146	)	)	PUNCT
ejpam-5898	317	147	=	=	PUNCT
ejpam-5898	317	148	λµ	λµ	PROPN
ejpam-5898	317	149	κ(λ2+µ2	κ(λ2+µ2	PROPN
ejpam-5898	317	150	)	)	PUNCT
ejpam-5898	317	151	−	−	PROPN
ejpam-5898	317	152	κλ	κλ	NOUN
ejpam-5898	317	153	(	(	PUNCT
ejpam-5898	317	154	1−κ2)µ	1−κ2)µ	NUM
ejpam-5898	317	155	−	−	NOUN
ejpam-5898	317	156	2κλµ	2κλµ	PROPN
ejpam-5898	317	157	(	(	PUNCT
ejpam-5898	317	158	1−κ2)(λ2+µ2	1−κ2)(λ2+µ2	NUM
ejpam-5898	317	159	)	)	PUNCT
ejpam-5898	317	160	1	1	NUM
ejpam-5898	317	161	κ2	κ2	NOUN
ejpam-5898	317	162	−	−	PROPN
ejpam-5898	317	163	λ2	λ2	PROPN
ejpam-5898	317	164	µ2	µ2	NOUN
ejpam-5898	317	165	−	−	PROPN
ejpam-5898	317	166	4	4	NUM
ejpam-5898	317	167	m.	m.	NOUN
ejpam-5898	317	168	al	al	PROPN
ejpam-5898	317	169	-	-	PUNCT
ejpam-5898	317	170	momani	momani	X
ejpam-5898	317	171	et	et	PROPN
ejpam-5898	317	172	al	al	PROPN
ejpam-5898	317	173	.	.	PUNCT
ejpam-5898	317	174	/	/	SYM
ejpam-5898	317	175	eur	eur	PROPN
ejpam-5898	317	176	.	.	PUNCT
ejpam-5898	318	1	j.	j.	PROPN
ejpam-5898	318	2	pure	pure	PROPN
ejpam-5898	318	3	appl	appl	PROPN
ejpam-5898	318	4	.	.	PROPN
ejpam-5898	318	5	math	math	PROPN
ejpam-5898	318	6	,	,	PUNCT
ejpam-5898	318	7	18	18	NUM
ejpam-5898	318	8	(	(	PUNCT
ejpam-5898	318	9	2	2	NUM
ejpam-5898	318	10	)	)	PUNCT
ejpam-5898	318	11	(	(	PUNCT
ejpam-5898	318	12	2025	2025	NUM
ejpam-5898	318	13	)	)	PUNCT
ejpam-5898	318	14	,	,	PUNCT
ejpam-5898	318	15	5898	5898	NUM
ejpam-5898	318	16	15	15	NUM
ejpam-5898	318	17	of	of	ADP
ejpam-5898	318	18	18	18	NUM
ejpam-5898	318	19	=	=	SYM
ejpam-5898	318	20	λ(µ2−κ2λ2−4κ2µ2	λ(µ2−κ2λ2−4κ2µ2	PROPN
ejpam-5898	318	21	)	)	PUNCT
ejpam-5898	318	22	κµ(1−κ2)(λ2+µ2	κµ(1−κ2)(λ2+µ2	PROPN
ejpam-5898	318	23	)	)	PUNCT
ejpam-5898	318	24	µ2−κ2λ2−4κ2µ2	µ2−κ2λ2−4κ2µ2	VERB
ejpam-5898	319	1	κ2µ2	κ2µ2	INTJ
ejpam-5898	319	2	=	=	PUNCT
ejpam-5898	319	3	κλµ	κλµ	PROPN
ejpam-5898	319	4	(	(	PUNCT
ejpam-5898	319	5	1−	1−	NUM
ejpam-5898	319	6	κ2	κ2	NOUN
ejpam-5898	319	7	)	)	PUNCT
ejpam-5898	319	8	(	(	PUNCT
ejpam-5898	319	9	λ2	λ2	NOUN
ejpam-5898	319	10	+	+	CCONJ
ejpam-5898	319	11	µ2	µ2	PROPN
ejpam-5898	319	12	)	)	PUNCT
ejpam-5898	319	13	so	so	ADV
ejpam-5898	319	14	,	,	PUNCT
ejpam-5898	319	15	q(τ	q(τ	ADJ
ejpam-5898	319	16	,	,	PUNCT
ejpam-5898	319	17	υ	υ	NOUN
ejpam-5898	319	18	)	)	PUNCT
ejpam-5898	319	19	=	=	PUNCT
ejpam-5898	320	1	s−1	s−1	NOUN
ejpam-5898	320	2	τ	τ	X
ejpam-5898	321	1	h−1	h−1	PROPN
ejpam-5898	321	2	υ	υ	PROPN
ejpam-5898	321	3	(	(	PUNCT
ejpam-5898	321	4	κλµ	κλµ	PROPN
ejpam-5898	321	5	(	(	PUNCT
ejpam-5898	321	6	1−	1−	NUM
ejpam-5898	321	7	κ2	κ2	NOUN
ejpam-5898	321	8	)	)	PUNCT
ejpam-5898	321	9	(	(	PUNCT
ejpam-5898	321	10	λ2	λ2	NOUN
ejpam-5898	321	11	+	+	CCONJ
ejpam-5898	321	12	µ2	µ2	PROPN
ejpam-5898	321	13	)	)	PUNCT
ejpam-5898	321	14	)	)	PUNCT
ejpam-5898	322	1	=	=	PUNCT
ejpam-5898	322	2	sinh	sinh	PROPN
ejpam-5898	322	3	τ	τ	PROPN
ejpam-5898	323	1	cos	cos	PROPN
ejpam-5898	323	2	υ	υ	VERB
ejpam-5898	323	3	the	the	DET
ejpam-5898	323	4	graph	graph	NOUN
ejpam-5898	323	5	of	of	ADP
ejpam-5898	323	6	the	the	DET
ejpam-5898	323	7	exact	exact	ADJ
ejpam-5898	323	8	solution	solution	NOUN
ejpam-5898	323	9	is	be	AUX
ejpam-5898	323	10	figure	figure	NOUN
ejpam-5898	323	11	3	3	NUM
ejpam-5898	323	12	:	:	PUNCT
ejpam-5898	323	13	the	the	DET
ejpam-5898	323	14	solution	solution	NOUN
ejpam-5898	323	15	q(τ	q(τ	VERB
ejpam-5898	323	16	,	,	PUNCT
ejpam-5898	323	17	υ	υ	NOUN
ejpam-5898	323	18	)	)	PUNCT
ejpam-5898	323	19	of	of	ADP
ejpam-5898	323	20	example	example	NOUN
ejpam-5898	323	21	3	3	NUM
ejpam-5898	323	22	example	example	NOUN
ejpam-5898	323	23	4	4	NUM
ejpam-5898	323	24	.	.	PUNCT
ejpam-5898	324	1	consider	consider	VERB
ejpam-5898	324	2	the	the	DET
ejpam-5898	324	3	telegraph	telegraph	NOUN
ejpam-5898	324	4	equation	equation	NOUN
ejpam-5898	324	5	qττ	qττ	PRON
ejpam-5898	325	1	=	=	PUNCT
ejpam-5898	325	2	qυυ	qυυ	ADP
ejpam-5898	325	3	−	−	PROPN
ejpam-5898	325	4	2qυ	2qυ	NOUN
ejpam-5898	325	5	−	−	NOUN
ejpam-5898	326	1	q(τ	q(τ	PROPN
ejpam-5898	326	2	,	,	PUNCT
ejpam-5898	326	3	υ	υ	NOUN
ejpam-5898	326	4	)	)	PUNCT
ejpam-5898	326	5	,	,	PUNCT
ejpam-5898	326	6	where	where	SCONJ
ejpam-5898	326	7	τ	τ	PROPN
ejpam-5898	326	8	,	,	PUNCT
ejpam-5898	326	9	υ	υ	PRON
ejpam-5898	326	10	≥	≥	NOUN
ejpam-5898	326	11	0	0	NUM
ejpam-5898	326	12	with	with	ADP
ejpam-5898	326	13	ics	ic	NOUN
ejpam-5898	326	14	q(τ	q(τ	PROPN
ejpam-5898	326	15	,	,	PUNCT
ejpam-5898	326	16	0	0	NUM
ejpam-5898	326	17	)	)	PUNCT
ejpam-5898	326	18	=	=	VERB
ejpam-5898	326	19	sin	sin	NOUN
ejpam-5898	326	20	τ	τ	PROPN
ejpam-5898	326	21	,	,	PUNCT
ejpam-5898	326	22	qυ(τ	qυ(τ	ADV
ejpam-5898	326	23	,	,	PUNCT
ejpam-5898	326	24	0	0	NUM
ejpam-5898	326	25	)	)	PUNCT
ejpam-5898	326	26	=	=	SYM
ejpam-5898	326	27	2	2	NUM
ejpam-5898	326	28	sin	sin	NOUN
ejpam-5898	326	29	τ	τ	PROPN
ejpam-5898	326	30	and	and	CCONJ
ejpam-5898	326	31	bcs	bc	NOUN
ejpam-5898	326	32	q	q	X
ejpam-5898	326	33	(	(	PUNCT
ejpam-5898	326	34	0	0	NUM
ejpam-5898	326	35	,	,	PUNCT
ejpam-5898	326	36	υ	υ	NOUN
ejpam-5898	326	37	)	)	PUNCT
ejpam-5898	326	38	=	=	SYM
ejpam-5898	326	39	0	0	NUM
ejpam-5898	326	40	,	,	PUNCT
ejpam-5898	326	41	qτ	qτ	ADP
ejpam-5898	326	42	(	(	PUNCT
ejpam-5898	326	43	0	0	NUM
ejpam-5898	326	44	,	,	PUNCT
ejpam-5898	326	45	υ	υ	NOUN
ejpam-5898	326	46	)	)	PUNCT
ejpam-5898	326	47	=	=	SYM
ejpam-5898	326	48	e2υ	e2υ	PROPN
ejpam-5898	326	49	m.	m.	NOUN
ejpam-5898	326	50	al	al	PROPN
ejpam-5898	326	51	-	-	PUNCT
ejpam-5898	326	52	momani	momani	X
ejpam-5898	326	53	et	et	PROPN
ejpam-5898	326	54	al	al	PROPN
ejpam-5898	326	55	.	.	PUNCT
ejpam-5898	326	56	/	/	SYM
ejpam-5898	326	57	eur	eur	PROPN
ejpam-5898	326	58	.	.	PUNCT
ejpam-5898	327	1	j.	j.	PROPN
ejpam-5898	327	2	pure	pure	PROPN
ejpam-5898	327	3	appl	appl	PROPN
ejpam-5898	327	4	.	.	PROPN
ejpam-5898	327	5	math	math	PROPN
ejpam-5898	327	6	,	,	PUNCT
ejpam-5898	327	7	18	18	NUM
ejpam-5898	327	8	(	(	PUNCT
ejpam-5898	327	9	2	2	NUM
ejpam-5898	327	10	)	)	PUNCT
ejpam-5898	327	11	(	(	PUNCT
ejpam-5898	327	12	2025	2025	NUM
ejpam-5898	327	13	)	)	PUNCT
ejpam-5898	327	14	,	,	PUNCT
ejpam-5898	327	15	5898	5898	NUM
ejpam-5898	327	16	16	16	NUM
ejpam-5898	327	17	of	of	ADP
ejpam-5898	327	18	18	18	NUM
ejpam-5898	327	19	solution	solution	NOUN
ejpam-5898	327	20	4	4	NUM
ejpam-5898	327	21	.	.	PUNCT
ejpam-5898	328	1	by	by	ADP
ejpam-5898	328	2	applying	apply	VERB
ejpam-5898	328	3	the	the	DET
ejpam-5898	328	4	single	single	ADJ
ejpam-5898	328	5	sumudu	sumudu	NOUN
ejpam-5898	328	6	transform	transform	NOUN
ejpam-5898	328	7	to	to	ADP
ejpam-5898	328	8	the	the	DET
ejpam-5898	328	9	ics	ic	NOUN
ejpam-5898	328	10	and	and	CCONJ
ejpam-5898	328	11	the	the	DET
ejpam-5898	328	12	single	single	ADJ
ejpam-5898	328	13	shehu	shehu	NOUN
ejpam-5898	328	14	transform	transform	VERB
ejpam-5898	328	15	to	to	ADP
ejpam-5898	328	16	the	the	DET
ejpam-5898	328	17	bcs	bc	NOUN
ejpam-5898	328	18	,	,	PUNCT
ejpam-5898	328	19	we	we	PRON
ejpam-5898	328	20	get	get	VERB
ejpam-5898	328	21	r1	r1	PROPN
ejpam-5898	328	22	=	=	PROPN
ejpam-5898	328	23	κ	κ	X
ejpam-5898	328	24	1+κ2	1+κ2	NUM
ejpam-5898	328	25	,	,	PUNCT
ejpam-5898	328	26	r2	r2	PROPN
ejpam-5898	328	27	=	=	SYM
ejpam-5898	328	28	2κ	2κ	PROPN
ejpam-5898	328	29	1+κ2	1+κ2	NUM
ejpam-5898	328	30	,	,	PUNCT
ejpam-5898	328	31	t1	t1	NOUN
ejpam-5898	328	32	=	=	SYM
ejpam-5898	328	33	0	0	NUM
ejpam-5898	328	34	,	,	PUNCT
ejpam-5898	328	35	t2	t2	NOUN
ejpam-5898	328	36	=	=	SYM
ejpam-5898	328	37	µ	µ	X
ejpam-5898	328	38	λ−2µ	λ−2µ	NOUN
ejpam-5898	328	39	substitute	substitute	NOUN
ejpam-5898	328	40	in	in	ADP
ejpam-5898	328	41	equation	equation	NOUN
ejpam-5898	328	42	(	(	PUNCT
ejpam-5898	328	43	22	22	NUM
ejpam-5898	328	44	)	)	PUNCT
ejpam-5898	328	45	b1	b1	NOUN
ejpam-5898	328	46	=	=	SYM
ejpam-5898	328	47	1	1	NUM
ejpam-5898	328	48	,	,	PUNCT
ejpam-5898	328	49	b3	b3	NOUN
ejpam-5898	328	50	=	=	SYM
ejpam-5898	328	51	−1	−1	NOUN
ejpam-5898	328	52	,	,	PUNCT
ejpam-5898	328	53	b5	b5	PROPN
ejpam-5898	328	54	=	=	SYM
ejpam-5898	328	55	2	2	NUM
ejpam-5898	328	56	,	,	PUNCT
ejpam-5898	328	57	b6	b6	NOUN
ejpam-5898	328	58	=	=	SYM
ejpam-5898	328	59	1	1	NUM
ejpam-5898	328	60	,	,	PUNCT
ejpam-5898	328	61	b2	b2	NOUN
ejpam-5898	328	62	=	=	SYM
ejpam-5898	328	63	b4	b4	NOUN
ejpam-5898	328	64	=	=	SYM
ejpam-5898	328	65	0	0	NUM
ejpam-5898	328	66	and	and	CCONJ
ejpam-5898	328	67	the	the	DET
ejpam-5898	328	68	values	value	NOUN
ejpam-5898	328	69	of	of	ADP
ejpam-5898	328	70	r1	r1	NOUN
ejpam-5898	328	71	,	,	PUNCT
ejpam-5898	328	72	r2	r2	PROPN
ejpam-5898	328	73	,	,	PUNCT
ejpam-5898	328	74	t1	t1	NOUN
ejpam-5898	328	75	and	and	CCONJ
ejpam-5898	328	76	t2	t2	NOUN
ejpam-5898	328	77	,	,	PUNCT
ejpam-5898	328	78	we	we	PRON
ejpam-5898	328	79	get	get	VERB
ejpam-5898	328	80	q(κ	q(κ	PROPN
ejpam-5898	328	81	,	,	PUNCT
ejpam-5898	328	82	λ	λ	PROPN
ejpam-5898	328	83	,	,	PUNCT
ejpam-5898	328	84	µ	µ	NOUN
ejpam-5898	328	85	)	)	PUNCT
ejpam-5898	328	86	=	=	SYM
ejpam-5898	328	87	µ	µ	X
ejpam-5898	328	88	κ(λ−2µ	κ(λ−2µ	NOUN
ejpam-5898	328	89	)	)	PUNCT
ejpam-5898	329	1	−	−	ADP
ejpam-5898	329	2	κλ	κλ	NOUN
ejpam-5898	329	3	(	(	PUNCT
ejpam-5898	329	4	1+κ2)µ	1+κ2)µ	NUM
ejpam-5898	329	5	+	+	NUM
ejpam-5898	329	6	2κ	2κ	NOUN
ejpam-5898	329	7	1+κ2	1+κ2	NUM
ejpam-5898	329	8	−	−	NUM
ejpam-5898	329	9	2κ	2κ	NOUN
ejpam-5898	329	10	1+κ2	1+κ2	NUM
ejpam-5898	329	11	1	1	NUM
ejpam-5898	329	12	κ2	κ2	NOUN
ejpam-5898	329	13	−	−	PROPN
ejpam-5898	329	14	λ2	λ2	PROPN
ejpam-5898	329	15	µ2	µ2	PROPN
ejpam-5898	329	16	+	+	CCONJ
ejpam-5898	329	17	2λ	2λ	PROPN
ejpam-5898	329	18	µ	µ	X
ejpam-5898	329	19	+	+	CCONJ
ejpam-5898	329	20	1	1	NUM
ejpam-5898	329	21	=	=	PUNCT
ejpam-5898	329	22	κ2µ2−κ2λ2	κ2µ2−κ2λ2	PROPN
ejpam-5898	329	23	+	+	PROPN
ejpam-5898	329	24	2κ2λµ+µ2	2κ2λµ+µ2	NUM
ejpam-5898	329	25	κ(1+κ2)(λ−2µ)µ	κ(1+κ2)(λ−2µ)µ	NOUN
ejpam-5898	329	26	κ2µ2−κ2λ2	κ2µ2−κ2λ2	VERB
ejpam-5898	329	27	+	+	PROPN
ejpam-5898	329	28	2κ2λµ+µ2	2κ2λµ+µ2	NUM
ejpam-5898	330	1	κ2µ2	κ2µ2	NOUN
ejpam-5898	330	2	=	=	NOUN
ejpam-5898	330	3	κµ	κµ	X
ejpam-5898	330	4	(	(	PUNCT
ejpam-5898	330	5	1	1	NUM
ejpam-5898	330	6	+	+	NUM
ejpam-5898	330	7	κ2	κ2	NOUN
ejpam-5898	330	8	)	)	PUNCT
ejpam-5898	330	9	(	(	PUNCT
ejpam-5898	330	10	λ−	λ−	PROPN
ejpam-5898	330	11	2µ	2µ	NUM
ejpam-5898	330	12	)	)	PUNCT
ejpam-5898	331	1	so	so	ADV
ejpam-5898	331	2	,	,	PUNCT
ejpam-5898	331	3	q(τ	q(τ	ADJ
ejpam-5898	331	4	,	,	PUNCT
ejpam-5898	331	5	υ	υ	NOUN
ejpam-5898	331	6	)	)	PUNCT
ejpam-5898	331	7	=	=	PUNCT
ejpam-5898	332	1	s−1	s−1	NOUN
ejpam-5898	332	2	τ	τ	X
ejpam-5898	333	1	h−1	h−1	PROPN
ejpam-5898	333	2	υ	υ	X
ejpam-5898	333	3	(	(	PUNCT
ejpam-5898	333	4	κµ	κµ	ADV
ejpam-5898	333	5	(	(	PUNCT
ejpam-5898	333	6	1	1	NUM
ejpam-5898	333	7	+	+	NUM
ejpam-5898	333	8	κ2	κ2	NOUN
ejpam-5898	333	9	)	)	PUNCT
ejpam-5898	333	10	(	(	PUNCT
ejpam-5898	333	11	λ−	λ−	PROPN
ejpam-5898	333	12	2µ	2µ	NUM
ejpam-5898	333	13	)	)	PUNCT
ejpam-5898	333	14	)	)	PUNCT
ejpam-5898	334	1	=	=	PRON
ejpam-5898	334	2	sin	sin	VERB
ejpam-5898	334	3	τe2υ	τe2υ	NUM
ejpam-5898	334	4	the	the	DET
ejpam-5898	334	5	graph	graph	NOUN
ejpam-5898	334	6	of	of	ADP
ejpam-5898	334	7	the	the	DET
ejpam-5898	334	8	exact	exact	ADJ
ejpam-5898	334	9	solution	solution	NOUN
ejpam-5898	334	10	is	be	AUX
ejpam-5898	334	11	figure	figure	NOUN
ejpam-5898	334	12	4	4	NUM
ejpam-5898	334	13	:	:	PUNCT
ejpam-5898	334	14	the	the	DET
ejpam-5898	334	15	solution	solution	NOUN
ejpam-5898	334	16	q(τ	q(τ	VERB
ejpam-5898	334	17	,	,	PUNCT
ejpam-5898	334	18	υ	υ	NOUN
ejpam-5898	334	19	)	)	PUNCT
ejpam-5898	334	20	of	of	ADP
ejpam-5898	334	21	example	example	NOUN
ejpam-5898	335	1	4	4	NUM
ejpam-5898	335	2	m.	m.	NOUN
ejpam-5898	335	3	al	al	PROPN
ejpam-5898	335	4	-	-	PUNCT
ejpam-5898	335	5	momani	momani	X
ejpam-5898	335	6	et	et	PROPN
ejpam-5898	335	7	al	al	PROPN
ejpam-5898	335	8	.	.	PUNCT
ejpam-5898	335	9	/	/	SYM
ejpam-5898	335	10	eur	eur	PROPN
ejpam-5898	335	11	.	.	PUNCT
ejpam-5898	336	1	j.	j.	PROPN
ejpam-5898	336	2	pure	pure	PROPN
ejpam-5898	336	3	appl	appl	PROPN
ejpam-5898	336	4	.	.	PROPN
ejpam-5898	336	5	math	math	PROPN
ejpam-5898	336	6	,	,	PUNCT
ejpam-5898	336	7	18	18	NUM
ejpam-5898	336	8	(	(	PUNCT
ejpam-5898	336	9	2	2	NUM
ejpam-5898	336	10	)	)	PUNCT
ejpam-5898	336	11	(	(	PUNCT
ejpam-5898	336	12	2025	2025	NUM
ejpam-5898	336	13	)	)	PUNCT
ejpam-5898	336	14	,	,	PUNCT
ejpam-5898	336	15	5898	5898	NUM
ejpam-5898	336	16	17	17	NUM
ejpam-5898	336	17	of	of	ADP
ejpam-5898	336	18	18	18	NUM
ejpam-5898	336	19	6	6	NUM
ejpam-5898	336	20	.	.	PUNCT
ejpam-5898	337	1	conclusion	conclusion	NOUN
ejpam-5898	337	2	in	in	ADP
ejpam-5898	337	3	this	this	DET
ejpam-5898	337	4	research	research	NOUN
ejpam-5898	337	5	,	,	PUNCT
ejpam-5898	337	6	we	we	PRON
ejpam-5898	337	7	introduce	introduce	VERB
ejpam-5898	337	8	a	a	DET
ejpam-5898	337	9	novel	novel	ADJ
ejpam-5898	337	10	approach	approach	NOUN
ejpam-5898	337	11	termed	term	VERB
ejpam-5898	337	12	the	the	DET
ejpam-5898	337	13	dsht	dsht	NOUN
ejpam-5898	337	14	(	(	PUNCT
ejpam-5898	337	15	double	double	ADJ
ejpam-5898	337	16	sumudushehu	sumudushehu	NOUN
ejpam-5898	337	17	transform	transform	NOUN
ejpam-5898	337	18	)	)	PUNCT
ejpam-5898	337	19	,	,	PUNCT
ejpam-5898	337	20	offering	offer	VERB
ejpam-5898	337	21	a	a	DET
ejpam-5898	337	22	fresh	fresh	ADJ
ejpam-5898	337	23	perspective	perspective	NOUN
ejpam-5898	337	24	in	in	ADP
ejpam-5898	337	25	the	the	DET
ejpam-5898	337	26	field	field	NOUN
ejpam-5898	337	27	of	of	ADP
ejpam-5898	337	28	mathematical	mathematical	ADJ
ejpam-5898	337	29	analysis	analysis	NOUN
ejpam-5898	337	30	.	.	PUNCT
ejpam-5898	338	1	we	we	PRON
ejpam-5898	338	2	explore	explore	VERB
ejpam-5898	338	3	the	the	DET
ejpam-5898	338	4	fundamental	fundamental	ADJ
ejpam-5898	338	5	properties	property	NOUN
ejpam-5898	338	6	of	of	ADP
ejpam-5898	338	7	this	this	DET
ejpam-5898	338	8	innovative	innovative	ADJ
ejpam-5898	338	9	double	double	ADJ
ejpam-5898	338	10	transform	transform	NOUN
ejpam-5898	338	11	and	and	CCONJ
ejpam-5898	338	12	demonstrate	demonstrate	VERB
ejpam-5898	338	13	its	its	PRON
ejpam-5898	338	14	application	application	NOUN
ejpam-5898	338	15	in	in	ADP
ejpam-5898	338	16	solving	solve	VERB
ejpam-5898	338	17	partial	partial	ADJ
ejpam-5898	338	18	differential	differential	ADJ
ejpam-5898	338	19	equations	equation	NOUN
ejpam-5898	338	20	and	and	CCONJ
ejpam-5898	338	21	integral	integral	ADJ
ejpam-5898	338	22	equations	equation	NOUN
ejpam-5898	338	23	.	.	PUNCT
ejpam-5898	339	1	through	through	ADP
ejpam-5898	339	2	carefully	carefully	ADV
ejpam-5898	339	3	selected	select	VERB
ejpam-5898	339	4	examples	example	NOUN
ejpam-5898	339	5	,	,	PUNCT
ejpam-5898	339	6	we	we	PRON
ejpam-5898	339	7	illustrate	illustrate	VERB
ejpam-5898	339	8	the	the	DET
ejpam-5898	339	9	effectiveness	effectiveness	NOUN
ejpam-5898	339	10	of	of	ADP
ejpam-5898	339	11	the	the	DET
ejpam-5898	339	12	dsht	dsht	NOUN
ejpam-5898	339	13	in	in	ADP
ejpam-5898	339	14	obtaining	obtain	VERB
ejpam-5898	339	15	exact	exact	ADJ
ejpam-5898	339	16	solutions	solution	NOUN
ejpam-5898	339	17	,	,	PUNCT
ejpam-5898	339	18	highlighting	highlight	VERB
ejpam-5898	339	19	its	its	PRON
ejpam-5898	339	20	potential	potential	NOUN
ejpam-5898	339	21	as	as	ADP
ejpam-5898	339	22	a	a	DET
ejpam-5898	339	23	powerful	powerful	ADJ
ejpam-5898	339	24	tool	tool	NOUN
ejpam-5898	339	25	in	in	ADP
ejpam-5898	339	26	analytical	analytical	ADJ
ejpam-5898	339	27	problem	problem	NOUN
ejpam-5898	339	28	-	-	PUNCT
ejpam-5898	339	29	solving	solving	NOUN
ejpam-5898	339	30	.	.	PUNCT
ejpam-5898	340	1	looking	look	VERB
ejpam-5898	340	2	ahead	ahead	ADV
ejpam-5898	340	3	,	,	PUNCT
ejpam-5898	340	4	we	we	PRON
ejpam-5898	340	5	anticipate	anticipate	VERB
ejpam-5898	340	6	further	further	ADJ
ejpam-5898	340	7	developments	development	NOUN
ejpam-5898	340	8	in	in	ADP
ejpam-5898	340	9	dsht	dsht	PROPN
ejpam-5898	340	10	,	,	PUNCT
ejpam-5898	340	11	particularly	particularly	ADV
ejpam-5898	340	12	in	in	ADP
ejpam-5898	340	13	its	its	PRON
ejpam-5898	340	14	application	application	NOUN
ejpam-5898	340	15	to	to	ADP
ejpam-5898	340	16	conformable	conformable	ADJ
ejpam-5898	340	17	pdes	pde	NOUN
ejpam-5898	340	18	with	with	ADP
ejpam-5898	340	19	variable	variable	ADJ
ejpam-5898	340	20	coefficients	coefficient	NOUN
ejpam-5898	340	21	,	,	PUNCT
ejpam-5898	340	22	paving	pave	VERB
ejpam-5898	340	23	the	the	DET
ejpam-5898	340	24	way	way	NOUN
ejpam-5898	340	25	for	for	ADP
ejpam-5898	340	26	new	new	ADJ
ejpam-5898	340	27	discoveries	discovery	NOUN
ejpam-5898	340	28	and	and	CCONJ
ejpam-5898	340	29	advancements	advancement	NOUN
ejpam-5898	340	30	in	in	ADP
ejpam-5898	340	31	this	this	DET
ejpam-5898	340	32	area	area	NOUN
ejpam-5898	340	33	.	.	PUNCT
ejpam-5898	341	1	further	further	ADJ
ejpam-5898	341	2	results	result	NOUN
ejpam-5898	341	3	and	and	CCONJ
ejpam-5898	341	4	applications	application	NOUN
ejpam-5898	341	5	in	in	ADP
ejpam-5898	341	6	this	this	DET
ejpam-5898	341	7	domain	domain	NOUN
ejpam-5898	341	8	,	,	PUNCT
ejpam-5898	341	9	including	include	VERB
ejpam-5898	341	10	extensions	extension	NOUN
ejpam-5898	341	11	to	to	ADP
ejpam-5898	341	12	conformable	conformable	ADJ
ejpam-5898	341	13	pdes	pde	NOUN
ejpam-5898	341	14	,	,	PUNCT
ejpam-5898	341	15	can	can	AUX
ejpam-5898	341	16	be	be	AUX
ejpam-5898	341	17	found	find	VERB
ejpam-5898	341	18	in	in	ADP
ejpam-5898	341	19	references	reference	NOUN
ejpam-5898	341	20	[	[	X
ejpam-5898	341	21	12–14	12–14	NUM
ejpam-5898	341	22	]	]	PUNCT
ejpam-5898	341	23	.	.	PUNCT
ejpam-5898	342	1	author	author	NOUN
ejpam-5898	342	2	contribution	contribution	NOUN
ejpam-5898	342	3	statement	statement	NOUN
ejpam-5898	342	4	all	all	DET
ejpam-5898	342	5	authors	author	NOUN
ejpam-5898	342	6	listed	list	VERB
ejpam-5898	342	7	have	have	AUX
ejpam-5898	342	8	significantly	significantly	ADV
ejpam-5898	342	9	contributed	contribute	VERB
ejpam-5898	342	10	to	to	ADP
ejpam-5898	342	11	the	the	DET
ejpam-5898	342	12	development	development	NOUN
ejpam-5898	342	13	and	and	CCONJ
ejpam-5898	342	14	the	the	DET
ejpam-5898	342	15	writing	writing	NOUN
ejpam-5898	342	16	of	of	ADP
ejpam-5898	342	17	this	this	DET
ejpam-5898	342	18	article	article	NOUN
ejpam-5898	342	19	.	.	PUNCT
ejpam-5898	343	1	data	datum	NOUN
ejpam-5898	343	2	availability	availability	NOUN
ejpam-5898	343	3	statement	statement	NOUN
ejpam-5898	343	4	no	no	DET
ejpam-5898	343	5	data	datum	NOUN
ejpam-5898	343	6	was	be	AUX
ejpam-5898	343	7	used	use	VERB
ejpam-5898	343	8	for	for	ADP
ejpam-5898	343	9	the	the	DET
ejpam-5898	343	10	research	research	NOUN
ejpam-5898	343	11	described	describe	VERB
ejpam-5898	343	12	in	in	ADP
ejpam-5898	343	13	the	the	DET
ejpam-5898	343	14	article	article	NOUN
ejpam-5898	343	15	.	.	PUNCT
ejpam-5898	344	1	conflict	conflict	NOUN
ejpam-5898	344	2	of	of	ADP
ejpam-5898	344	3	interest	interest	NOUN
ejpam-5898	344	4	the	the	DET
ejpam-5898	344	5	authors	author	NOUN
ejpam-5898	344	6	declare	declare	VERB
ejpam-5898	344	7	that	that	SCONJ
ejpam-5898	344	8	they	they	PRON
ejpam-5898	344	9	have	have	VERB
ejpam-5898	344	10	no	no	DET
ejpam-5898	344	11	conflict	conflict	NOUN
ejpam-5898	344	12	of	of	ADP
ejpam-5898	344	13	interest	interest	NOUN
ejpam-5898	344	14	.	.	PUNCT
ejpam-5898	345	1	references	reference	NOUN
ejpam-5898	345	2	[	[	X
ejpam-5898	345	3	1	1	NUM
ejpam-5898	345	4	]	]	PUNCT
ejpam-5898	345	5	g.	g.	PROPN
ejpam-5898	345	6	k.	k.	PROPN
ejpam-5898	345	7	watugala	watugala	PROPN
ejpam-5898	345	8	.	.	PUNCT
ejpam-5898	346	1	sumudu	sumudu	NOUN
ejpam-5898	346	2	transform	transform	NOUN
ejpam-5898	346	3	:	:	PUNCT
ejpam-5898	346	4	a	a	DET
ejpam-5898	346	5	new	new	ADJ
ejpam-5898	346	6	integral	integral	ADJ
ejpam-5898	346	7	transform	transform	NOUN
ejpam-5898	346	8	to	to	PART
ejpam-5898	346	9	solve	solve	VERB
ejpam-5898	346	10	differential	differential	ADJ
ejpam-5898	346	11	equations	equation	NOUN
ejpam-5898	346	12	and	and	CCONJ
ejpam-5898	346	13	control	control	NOUN
ejpam-5898	346	14	engineering	engineering	NOUN
ejpam-5898	346	15	problems	problem	NOUN
ejpam-5898	346	16	.	.	PUNCT
ejpam-5898	347	1	international	international	ADJ
ejpam-5898	347	2	journal	journal	PROPN
ejpam-5898	347	3	of	of	ADP
ejpam-5898	347	4	mathematical	mathematical	ADJ
ejpam-5898	347	5	education	education	NOUN
ejpam-5898	347	6	in	in	ADP
ejpam-5898	347	7	science	science	NOUN
ejpam-5898	347	8	and	and	CCONJ
ejpam-5898	347	9	technology	technology	NOUN
ejpam-5898	347	10	,	,	PUNCT
ejpam-5898	347	11	24(1):35–43	24(1):35–43	NUM
ejpam-5898	347	12	,	,	PUNCT
ejpam-5898	347	13	1993	1993	NUM
ejpam-5898	347	14	.	.	PUNCT
ejpam-5898	348	1	[	[	X
ejpam-5898	348	2	2	2	X
ejpam-5898	348	3	]	]	PUNCT
ejpam-5898	348	4	s.	s.	PROPN
ejpam-5898	348	5	maitam	maitam	PROPN
ejpam-5898	348	6	and	and	CCONJ
ejpam-5898	348	7	w.	w.	PROPN
ejpam-5898	348	8	zhao	zhao	PROPN
ejpam-5898	348	9	.	.	PUNCT
ejpam-5898	349	1	new	new	ADJ
ejpam-5898	349	2	integral	integral	ADJ
ejpam-5898	349	3	transform	transform	NOUN
ejpam-5898	349	4	:	:	PUNCT
ejpam-5898	349	5	shehu	shehu	PROPN
ejpam-5898	349	6	transform	transform	VERB
ejpam-5898	349	7	a	a	DET
ejpam-5898	349	8	generalization	generalization	NOUN
ejpam-5898	349	9	of	of	ADP
ejpam-5898	349	10	sumudu	sumudu	NOUN
ejpam-5898	349	11	and	and	CCONJ
ejpam-5898	349	12	laplace	laplace	NOUN
ejpam-5898	349	13	transform	transform	NOUN
ejpam-5898	349	14	for	for	ADP
ejpam-5898	349	15	solving	solve	VERB
ejpam-5898	349	16	differential	differential	ADJ
ejpam-5898	349	17	equations	equation	NOUN
ejpam-5898	349	18	.	.	PUNCT
ejpam-5898	350	1	international	international	ADJ
ejpam-5898	350	2	journal	journal	NOUN
ejpam-5898	350	3	of	of	ADP
ejpam-5898	350	4	analysis	analysis	NOUN
ejpam-5898	350	5	and	and	CCONJ
ejpam-5898	350	6	applications	application	NOUN
ejpam-5898	350	7	,	,	PUNCT
ejpam-5898	350	8	17(2):167–190	17(2):167–190	NUM
ejpam-5898	350	9	,	,	PUNCT
ejpam-5898	350	10	2019	2019	NUM
ejpam-5898	350	11	.	.	PUNCT
ejpam-5898	351	1	[	[	X
ejpam-5898	351	2	3	3	NUM
ejpam-5898	351	3	]	]	PUNCT
ejpam-5898	351	4	a.	a.	NOUN
ejpam-5898	351	5	aghili	aghili	PROPN
ejpam-5898	351	6	and	and	CCONJ
ejpam-5898	351	7	b.	b.	PROPN
ejpam-5898	351	8	parsa	parsa	PROPN
ejpam-5898	351	9	moghaddam	moghaddam	NOUN
ejpam-5898	351	10	.	.	PUNCT
ejpam-5898	352	1	certain	certain	ADJ
ejpam-5898	352	2	theorems	theorem	NOUN
ejpam-5898	352	3	on	on	ADP
ejpam-5898	352	4	two	two	NUM
ejpam-5898	352	5	dimensional	dimensional	ADJ
ejpam-5898	352	6	laplace	laplace	NOUN
ejpam-5898	352	7	transform	transform	NOUN
ejpam-5898	352	8	and	and	CCONJ
ejpam-5898	352	9	non	non	ADJ
ejpam-5898	352	10	-	-	ADJ
ejpam-5898	352	11	homogeneous	homogeneous	ADJ
ejpam-5898	352	12	parabolic	parabolic	ADJ
ejpam-5898	352	13	partial	partial	ADJ
ejpam-5898	352	14	differential	differential	NOUN
ejpam-5898	352	15	equations	equation	NOUN
ejpam-5898	352	16	.	.	PUNCT
ejpam-5898	353	1	surveys	survey	NOUN
ejpam-5898	353	2	in	in	ADP
ejpam-5898	353	3	mathematics	mathematic	NOUN
ejpam-5898	353	4	and	and	CCONJ
ejpam-5898	353	5	its	its	PRON
ejpam-5898	353	6	applications	application	NOUN
ejpam-5898	353	7	,	,	PUNCT
ejpam-5898	353	8	6:165–174	6:165–174	NUM
ejpam-5898	353	9	,	,	PUNCT
ejpam-5898	353	10	2011	2011	NUM
ejpam-5898	353	11	.	.	PUNCT
ejpam-5898	354	1	[	[	X
ejpam-5898	354	2	4	4	X
ejpam-5898	354	3	]	]	PUNCT
ejpam-5898	354	4	j.	j.	PROPN
ejpam-5898	354	5	a.	a.	PROPN
ejpam-5898	354	6	ganie	ganie	PROPN
ejpam-5898	354	7	,	,	PUNCT
ejpam-5898	354	8	a.	a.	NOUN
ejpam-5898	354	9	ahmad	ahmad	PROPN
ejpam-5898	354	10	,	,	PUNCT
ejpam-5898	354	11	and	and	CCONJ
ejpam-5898	354	12	r.	r.	PROPN
ejpam-5898	354	13	jain	jain	PROPN
ejpam-5898	354	14	.	.	PUNCT
ejpam-5898	355	1	basic	basic	ADJ
ejpam-5898	355	2	analogue	analogue	NOUN
ejpam-5898	355	3	of	of	ADP
ejpam-5898	355	4	double	double	ADJ
ejpam-5898	355	5	sumudu	sumudu	NOUN
ejpam-5898	355	6	transform	transform	NOUN
ejpam-5898	355	7	and	and	CCONJ
ejpam-5898	355	8	its	its	PRON
ejpam-5898	355	9	applicability	applicability	NOUN
ejpam-5898	355	10	in	in	ADP
ejpam-5898	355	11	population	population	NOUN
ejpam-5898	355	12	dynamics	dynamic	NOUN
ejpam-5898	355	13	.	.	PUNCT
ejpam-5898	356	1	asian	asian	ADJ
ejpam-5898	356	2	journal	journal	PROPN
ejpam-5898	356	3	of	of	ADP
ejpam-5898	356	4	mathematics	mathematic	NOUN
ejpam-5898	356	5	and	and	CCONJ
ejpam-5898	356	6	statistics	statistic	NOUN
ejpam-5898	356	7	,	,	PUNCT
ejpam-5898	356	8	11:12–17	11:12–17	NUM
ejpam-5898	356	9	,	,	PUNCT
ejpam-5898	356	10	2018	2018	NUM
ejpam-5898	356	11	.	.	PUNCT
ejpam-5898	357	1	[	[	X
ejpam-5898	357	2	5	5	X
ejpam-5898	357	3	]	]	PUNCT
ejpam-5898	357	4	b.	b.	PROPN
ejpam-5898	357	5	abughazaleh	abughazaleh	PROPN
ejpam-5898	357	6	,	,	PUNCT
ejpam-5898	357	7	m.	m.	NOUN
ejpam-5898	357	8	a.	a.	PROPN
ejpam-5898	357	9	amleh	amleh	PROPN
ejpam-5898	357	10	,	,	PUNCT
ejpam-5898	357	11	a.	a.	PROPN
ejpam-5898	357	12	al	al	PROPN
ejpam-5898	357	13	-	-	PUNCT
ejpam-5898	357	14	natoor	natoor	NOUN
ejpam-5898	357	15	,	,	PUNCT
ejpam-5898	357	16	and	and	CCONJ
ejpam-5898	357	17	r.	r.	PROPN
ejpam-5898	357	18	saadeh	saadeh	PROPN
ejpam-5898	357	19	.	.	PUNCT
ejpam-5898	358	1	double	double	ADJ
ejpam-5898	358	2	mellin	mellin	PROPN
ejpam-5898	358	3	-	-	PUNCT
ejpam-5898	358	4	ara	ara	NOUN
ejpam-5898	358	5	transform	transform	NOUN
ejpam-5898	358	6	.	.	PUNCT
ejpam-5898	359	1	springer	springer	NOUN
ejpam-5898	359	2	proceedings	proceeding	NOUN
ejpam-5898	359	3	in	in	ADP
ejpam-5898	359	4	mathematics	mathematic	NOUN
ejpam-5898	359	5	and	and	CCONJ
ejpam-5898	359	6	statistics	statistic	NOUN
ejpam-5898	359	7	,	,	PUNCT
ejpam-5898	359	8	466:383–394	466:383–394	NUM
ejpam-5898	359	9	,	,	PUNCT
ejpam-5898	359	10	2024	2024	NUM
ejpam-5898	359	11	.	.	PUNCT
ejpam-5898	360	1	[	[	X
ejpam-5898	360	2	6	6	X
ejpam-5898	360	3	]	]	PUNCT
ejpam-5898	360	4	s.	s.	PROPN
ejpam-5898	360	5	alfaqeih	alfaqeih	PROPN
ejpam-5898	360	6	and	and	CCONJ
ejpam-5898	360	7	e.	e.	PROPN
ejpam-5898	360	8	misirli	misirli	PROPN
ejpam-5898	360	9	.	.	PUNCT
ejpam-5898	361	1	on	on	ADP
ejpam-5898	361	2	double	double	ADJ
ejpam-5898	361	3	shehu	shehu	NOUN
ejpam-5898	361	4	transform	transform	VERB
ejpam-5898	361	5	and	and	CCONJ
ejpam-5898	361	6	its	its	PRON
ejpam-5898	361	7	properties	property	NOUN
ejpam-5898	361	8	with	with	ADP
ejpam-5898	361	9	applications	application	NOUN
ejpam-5898	361	10	.	.	PUNCT
ejpam-5898	362	1	international	international	ADJ
ejpam-5898	362	2	journal	journal	NOUN
ejpam-5898	362	3	of	of	ADP
ejpam-5898	362	4	analysis	analysis	NOUN
ejpam-5898	362	5	and	and	CCONJ
ejpam-5898	362	6	applications	application	NOUN
ejpam-5898	362	7	,	,	PUNCT
ejpam-5898	362	8	18(3):381–395	18(3):381–395	PROPN
ejpam-5898	362	9	,	,	PUNCT
ejpam-5898	362	10	2020	2020	NUM
ejpam-5898	362	11	.	.	PUNCT
ejpam-5898	363	1	[	[	X
ejpam-5898	363	2	7	7	X
ejpam-5898	363	3	]	]	PUNCT
ejpam-5898	363	4	m.	m.	NOUN
ejpam-5898	363	5	al	al	PROPN
ejpam-5898	363	6	-	-	PUNCT
ejpam-5898	363	7	momani	momani	PROPN
ejpam-5898	363	8	,	,	PUNCT
ejpam-5898	363	9	a.	a.	NOUN
ejpam-5898	363	10	jaradat	jaradat	PROPN
ejpam-5898	363	11	,	,	PUNCT
ejpam-5898	363	12	and	and	CCONJ
ejpam-5898	363	13	b.	b.	PROPN
ejpam-5898	363	14	abughazaleh	abughazaleh	PROPN
ejpam-5898	363	15	.	.	PUNCT
ejpam-5898	364	1	double	double	ADJ
ejpam-5898	364	2	laplace	laplace	NOUN
ejpam-5898	364	3	-	-	PUNCT
ejpam-5898	364	4	sawi	sawi	NOUN
ejpam-5898	364	5	transform	transform	NOUN
ejpam-5898	364	6	.	.	PUNCT
ejpam-5898	365	1	european	european	PROPN
ejpam-5898	365	2	journal	journal	PROPN
ejpam-5898	365	3	of	of	ADP
ejpam-5898	365	4	pure	pure	ADJ
ejpam-5898	365	5	and	and	CCONJ
ejpam-5898	365	6	applied	applied	ADJ
ejpam-5898	365	7	mathematics	mathematic	NOUN
ejpam-5898	365	8	,	,	PUNCT
ejpam-5898	365	9	18(1):5619	18(1):5619	NUM
ejpam-5898	365	10	,	,	PUNCT
ejpam-5898	365	11	2025	2025	NUM
ejpam-5898	365	12	.	.	PUNCT
ejpam-5898	366	1	m.	m.	NOUN
ejpam-5898	366	2	al	al	PROPN
ejpam-5898	366	3	-	-	PUNCT
ejpam-5898	366	4	momani	momani	X
ejpam-5898	366	5	et	et	PROPN
ejpam-5898	366	6	al	al	PROPN
ejpam-5898	366	7	.	.	PUNCT
ejpam-5898	366	8	/	/	SYM
ejpam-5898	366	9	eur	eur	PROPN
ejpam-5898	366	10	.	.	PUNCT
ejpam-5898	367	1	j.	j.	PROPN
ejpam-5898	367	2	pure	pure	PROPN
ejpam-5898	367	3	appl	appl	PROPN
ejpam-5898	367	4	.	.	PROPN
ejpam-5898	367	5	math	math	PROPN
ejpam-5898	367	6	,	,	PUNCT
ejpam-5898	367	7	18	18	NUM
ejpam-5898	367	8	(	(	PUNCT
ejpam-5898	367	9	2	2	NUM
ejpam-5898	367	10	)	)	PUNCT
ejpam-5898	367	11	(	(	PUNCT
ejpam-5898	367	12	2025	2025	NUM
ejpam-5898	367	13	)	)	PUNCT
ejpam-5898	367	14	,	,	PUNCT
ejpam-5898	367	15	5898	5898	NUM
ejpam-5898	367	16	18	18	NUM
ejpam-5898	367	17	of	of	ADP
ejpam-5898	367	18	18	18	NUM
ejpam-5898	367	19	[	[	SYM
ejpam-5898	367	20	8	8	NUM
ejpam-5898	367	21	]	]	PUNCT
ejpam-5898	367	22	m.	m.	NOUN
ejpam-5898	367	23	hunaiber	hunaiber	NOUN
ejpam-5898	367	24	and	and	CCONJ
ejpam-5898	367	25	a.	a.	PROPN
ejpam-5898	367	26	al	al	PROPN
ejpam-5898	367	27	-	-	PUNCT
ejpam-5898	367	28	aati	aati	PROPN
ejpam-5898	367	29	.	.	PUNCT
ejpam-5898	368	1	on	on	ADP
ejpam-5898	368	2	double	double	ADJ
ejpam-5898	368	3	laplace	laplace	NOUN
ejpam-5898	368	4	-	-	PUNCT
ejpam-5898	368	5	shehu	shehu	NOUN
ejpam-5898	368	6	transform	transform	NOUN
ejpam-5898	368	7	and	and	CCONJ
ejpam-5898	368	8	its	its	PRON
ejpam-5898	368	9	properties	property	NOUN
ejpam-5898	368	10	with	with	ADP
ejpam-5898	368	11	applications	application	NOUN
ejpam-5898	368	12	.	.	PUNCT
ejpam-5898	369	1	turkish	turkish	ADJ
ejpam-5898	369	2	journal	journal	NOUN
ejpam-5898	369	3	of	of	ADP
ejpam-5898	369	4	mathematics	mathematic	NOUN
ejpam-5898	369	5	and	and	CCONJ
ejpam-5898	369	6	computer	computer	NOUN
ejpam-5898	369	7	science	science	NOUN
ejpam-5898	369	8	,	,	PUNCT
ejpam-5898	369	9	15(2):218	15(2):218	NUM
ejpam-5898	369	10	–	–	PUNCT
ejpam-5898	369	11	226	226	NUM
ejpam-5898	369	12	,	,	PUNCT
ejpam-5898	369	13	2023	2023	NUM
ejpam-5898	369	14	.	.	PUNCT
ejpam-5898	370	1	[	[	X
ejpam-5898	370	2	9	9	NUM
ejpam-5898	370	3	]	]	PUNCT
ejpam-5898	370	4	a.	a.	NOUN
ejpam-5898	370	5	k.	k.	PROPN
ejpam-5898	370	6	sedeeg	sedeeg	PROPN
ejpam-5898	370	7	,	,	PUNCT
ejpam-5898	370	8	z.	z.	PROPN
ejpam-5898	370	9	i.	i.	PROPN
ejpam-5898	370	10	mahamoud	mahamoud	PROPN
ejpam-5898	370	11	,	,	PUNCT
ejpam-5898	370	12	and	and	CCONJ
ejpam-5898	370	13	r.	r.	PROPN
ejpam-5898	370	14	saadeh	saadeh	PROPN
ejpam-5898	370	15	.	.	PUNCT
ejpam-5898	371	1	using	use	VERB
ejpam-5898	371	2	double	double	ADJ
ejpam-5898	371	3	integral	integral	ADJ
ejpam-5898	371	4	transform	transform	NOUN
ejpam-5898	371	5	(	(	PUNCT
ejpam-5898	371	6	laplace	laplace	NOUN
ejpam-5898	371	7	-	-	PUNCT
ejpam-5898	371	8	ara	ara	NOUN
ejpam-5898	371	9	transform	transform	NOUN
ejpam-5898	371	10	)	)	PUNCT
ejpam-5898	371	11	in	in	ADP
ejpam-5898	371	12	solving	solve	VERB
ejpam-5898	371	13	partial	partial	ADJ
ejpam-5898	371	14	differential	differential	NOUN
ejpam-5898	371	15	equations	equation	NOUN
ejpam-5898	371	16	.	.	PUNCT
ejpam-5898	372	1	symmetry	symmetry	PROPN
ejpam-5898	372	2	,	,	PUNCT
ejpam-5898	372	3	14(11):2418	14(11):2418	NUM
ejpam-5898	372	4	,	,	PUNCT
ejpam-5898	372	5	2022	2022	NUM
ejpam-5898	372	6	.	.	PUNCT
ejpam-5898	373	1	[	[	X
ejpam-5898	373	2	10	10	NUM
ejpam-5898	373	3	]	]	X
ejpam-5898	373	4	r.	r.	PROPN
ejpam-5898	373	5	abu	abu	PROPN
ejpam-5898	373	6	awwad	awwad	PROPN
ejpam-5898	373	7	,	,	PUNCT
ejpam-5898	373	8	m.	m.	NOUN
ejpam-5898	373	9	al	al	PROPN
ejpam-5898	373	10	-	-	PUNCT
ejpam-5898	373	11	momani	momani	PROPN
ejpam-5898	373	12	,	,	PUNCT
ejpam-5898	373	13	a.	a.	PROPN
ejpam-5898	373	14	jaradat	jaradat	PROPN
ejpam-5898	373	15	,	,	PUNCT
ejpam-5898	373	16	b.	b.	PROPN
ejpam-5898	373	17	abughazaleh	abughazaleh	PROPN
ejpam-5898	373	18	,	,	PUNCT
ejpam-5898	373	19	and	and	CCONJ
ejpam-5898	373	20	a.	a.	PROPN
ejpam-5898	373	21	al	al	PROPN
ejpam-5898	373	22	-	-	PUNCT
ejpam-5898	373	23	natoor	natoor	NOUN
ejpam-5898	373	24	.	.	PUNCT
ejpam-5898	374	1	the	the	DET
ejpam-5898	374	2	double	double	ADJ
ejpam-5898	374	3	ara	ara	NOUN
ejpam-5898	374	4	-	-	PUNCT
ejpam-5898	374	5	sawi	sawi	NOUN
ejpam-5898	374	6	transform	transform	NOUN
ejpam-5898	374	7	.	.	PUNCT
ejpam-5898	375	1	european	european	PROPN
ejpam-5898	375	2	journal	journal	PROPN
ejpam-5898	375	3	of	of	ADP
ejpam-5898	375	4	pure	pure	ADJ
ejpam-5898	375	5	and	and	CCONJ
ejpam-5898	375	6	applied	applied	ADJ
ejpam-5898	375	7	mathematics	mathematic	NOUN
ejpam-5898	375	8	,	,	PUNCT
ejpam-5898	375	9	18(1):5807	18(1):5807	NUM
ejpam-5898	375	10	,	,	PUNCT
ejpam-5898	375	11	2025	2025	NUM
ejpam-5898	375	12	.	.	PUNCT
ejpam-5898	376	1	[	[	X
ejpam-5898	376	2	11	11	NUM
ejpam-5898	376	3	]	]	PUNCT
ejpam-5898	376	4	r.	r.	PROPN
ejpam-5898	376	5	abu	abu	PROPN
ejpam-5898	376	6	awwad	awwad	PROPN
ejpam-5898	376	7	,	,	PUNCT
ejpam-5898	376	8	m.	m.	NOUN
ejpam-5898	376	9	al	al	PROPN
ejpam-5898	376	10	-	-	PUNCT
ejpam-5898	376	11	momani	momani	PROPN
ejpam-5898	376	12	,	,	PUNCT
ejpam-5898	376	13	a.	a.	PROPN
ejpam-5898	376	14	jaradat	jaradat	PROPN
ejpam-5898	376	15	,	,	PUNCT
ejpam-5898	376	16	b.	b.	PROPN
ejpam-5898	376	17	abughazaleh	abughazaleh	PROPN
ejpam-5898	376	18	,	,	PUNCT
ejpam-5898	376	19	and	and	CCONJ
ejpam-5898	376	20	a.	a.	PROPN
ejpam-5898	376	21	farah	farah	PROPN
ejpam-5898	376	22	.	.	PUNCT
ejpam-5898	377	1	the	the	DET
ejpam-5898	377	2	double	double	ADJ
ejpam-5898	377	3	sumudu	sumudu	NOUN
ejpam-5898	377	4	-	-	PUNCT
ejpam-5898	377	5	sawi	sawi	NOUN
ejpam-5898	377	6	transform	transform	NOUN
ejpam-5898	377	7	.	.	PUNCT
ejpam-5898	378	1	european	european	PROPN
ejpam-5898	378	2	journal	journal	PROPN
ejpam-5898	378	3	of	of	ADP
ejpam-5898	378	4	pure	pure	ADJ
ejpam-5898	378	5	and	and	CCONJ
ejpam-5898	378	6	applied	applied	ADJ
ejpam-5898	378	7	mathematics	mathematic	NOUN
ejpam-5898	378	8	,	,	PUNCT
ejpam-5898	378	9	18(2):5967	18(2):5967	NUM
ejpam-5898	378	10	,	,	PUNCT
ejpam-5898	378	11	2025	2025	NUM
ejpam-5898	378	12	.	.	PUNCT
ejpam-5898	379	1	[	[	X
ejpam-5898	379	2	12	12	NUM
ejpam-5898	379	3	]	]	PUNCT
ejpam-5898	379	4	a.	a.	NOUN
ejpam-5898	379	5	qazza	qazza	PROPN
ejpam-5898	379	6	,	,	PUNCT
ejpam-5898	379	7	a.	a.	PROPN
ejpam-5898	379	8	burqan	burqan	PROPN
ejpam-5898	379	9	,	,	PUNCT
ejpam-5898	379	10	r.	r.	PROPN
ejpam-5898	379	11	saadeh	saadeh	PROPN
ejpam-5898	379	12	,	,	PUNCT
ejpam-5898	379	13	and	and	CCONJ
ejpam-5898	379	14	r.	r.	PROPN
ejpam-5898	379	15	khalil	khalil	PROPN
ejpam-5898	379	16	.	.	PUNCT
ejpam-5898	380	1	applications	application	NOUN
ejpam-5898	380	2	on	on	ADP
ejpam-5898	380	3	double	double	ADJ
ejpam-5898	380	4	ara	ara	NOUN
ejpam-5898	380	5	–	–	PUNCT
ejpam-5898	380	6	sumudu	sumudu	NOUN
ejpam-5898	380	7	transform	transform	NOUN
ejpam-5898	380	8	in	in	ADP
ejpam-5898	380	9	solving	solve	VERB
ejpam-5898	380	10	fractional	fractional	ADJ
ejpam-5898	380	11	partial	partial	ADJ
ejpam-5898	380	12	differential	differential	NOUN
ejpam-5898	380	13	equations	equation	NOUN
ejpam-5898	380	14	.	.	PUNCT
ejpam-5898	381	1	symmetry	symmetry	PROPN
ejpam-5898	381	2	,	,	PUNCT
ejpam-5898	381	3	14(9):1817	14(9):1817	NUM
ejpam-5898	381	4	,	,	PUNCT
ejpam-5898	381	5	2022	2022	NUM
ejpam-5898	381	6	.	.	PUNCT
ejpam-5898	382	1	[	[	X
ejpam-5898	382	2	13	13	NUM
ejpam-5898	382	3	]	]	PUNCT
ejpam-5898	382	4	m.	m.	NOUN
ejpam-5898	382	5	a.	a.	PROPN
ejpam-5898	382	6	amleh	amleh	PROPN
ejpam-5898	382	7	,	,	PUNCT
ejpam-5898	382	8	b.	b.	PROPN
ejpam-5898	382	9	abughazaleh	abughazaleh	PROPN
ejpam-5898	382	10	,	,	PUNCT
ejpam-5898	382	11	and	and	CCONJ
ejpam-5898	382	12	a.	a.	PROPN
ejpam-5898	382	13	al	al	PROPN
ejpam-5898	382	14	-	-	PUNCT
ejpam-5898	382	15	natoor	natoor	NOUN
ejpam-5898	382	16	.	.	PUNCT
ejpam-5898	383	1	conformable	conformable	ADJ
ejpam-5898	383	2	fractional	fractional	ADJ
ejpam-5898	383	3	lomax	lomax	PROPN
ejpam-5898	383	4	probability	probability	NOUN
ejpam-5898	383	5	distribution	distribution	NOUN
ejpam-5898	383	6	.	.	PUNCT
ejpam-5898	384	1	journal	journal	NOUN
ejpam-5898	384	2	of	of	ADP
ejpam-5898	384	3	mathematics	mathematics	PROPN
ejpam-5898	384	4	and	and	CCONJ
ejpam-5898	384	5	computer	computer	NOUN
ejpam-5898	384	6	science	science	NOUN
ejpam-5898	384	7	,	,	PUNCT
ejpam-5898	384	8	12	12	NUM
ejpam-5898	384	9	,	,	PUNCT
ejpam-5898	384	10	2022	2022	NUM
ejpam-5898	384	11	.	.	PUNCT
ejpam-5898	385	1	article	article	NOUN
ejpam-5898	385	2	-	-	PUNCT
ejpam-5898	385	3	id	id	PRON
ejpam-5898	385	4	130	130	NUM
ejpam-5898	385	5	.	.	PUNCT
ejpam-5898	386	1	[	[	X
ejpam-5898	386	2	14	14	NUM
ejpam-5898	386	3	]	]	X
ejpam-5898	386	4	r.	r.	PROPN
ejpam-5898	386	5	abu	abu	PROPN
ejpam-5898	386	6	awwad	awwad	PROPN
ejpam-5898	386	7	,	,	PUNCT
ejpam-5898	386	8	m.	m.	NOUN
ejpam-5898	386	9	al	al	PROPN
ejpam-5898	386	10	-	-	PUNCT
ejpam-5898	386	11	momani	momani	PROPN
ejpam-5898	386	12	,	,	PUNCT
ejpam-5898	386	13	b.	b.	PROPN
ejpam-5898	386	14	abughazaleh	abughazaleh	PROPN
ejpam-5898	386	15	,	,	PUNCT
ejpam-5898	386	16	a.	a.	PROPN
ejpam-5898	386	17	jaradat	jaradat	PROPN
ejpam-5898	386	18	,	,	PUNCT
ejpam-5898	386	19	and	and	CCONJ
ejpam-5898	386	20	a.	a.	PROPN
ejpam-5898	386	21	farah	farah	PROPN
ejpam-5898	386	22	.	.	PUNCT
ejpam-5898	387	1	the	the	DET
ejpam-5898	387	2	conformable	conformable	ADJ
ejpam-5898	387	3	double	double	ADJ
ejpam-5898	387	4	laplace	laplace	NOUN
ejpam-5898	387	5	-	-	PUNCT
ejpam-5898	387	6	sawi	sawi	NOUN
ejpam-5898	387	7	transform	transform	NOUN
ejpam-5898	387	8	.	.	PUNCT
ejpam-5898	388	1	european	european	PROPN
ejpam-5898	388	2	journal	journal	PROPN
ejpam-5898	388	3	of	of	ADP
ejpam-5898	388	4	pure	pure	ADJ
ejpam-5898	388	5	and	and	CCONJ
ejpam-5898	388	6	applied	applied	ADJ
ejpam-5898	388	7	mathematics	mathematic	NOUN
ejpam-5898	388	8	,	,	PUNCT
ejpam-5898	388	9	18(2):6034	18(2):6034	NUM
ejpam-5898	388	10	,	,	PUNCT
ejpam-5898	388	11	2025	2025	NUM
ejpam-5898	388	12	.	.	PUNCT