id	sid	tid	token	lemma	pos
ejpam-6340	1	1	european	european	PROPN
ejpam-6340	1	2	journal	journal	PROPN
ejpam-6340	1	3	of	of	ADP
ejpam-6340	1	4	pure	pure	ADJ
ejpam-6340	1	5	and	and	CCONJ
ejpam-6340	1	6	applied	applied	ADJ
ejpam-6340	1	7	mathematics	mathematic	NOUN
ejpam-6340	1	8	2025	2025	NUM
ejpam-6340	1	9	,	,	PUNCT
ejpam-6340	1	10	vol	vol	NOUN
ejpam-6340	1	11	.	.	PROPN
ejpam-6340	1	12	18	18	NUM
ejpam-6340	1	13	,	,	PUNCT
ejpam-6340	1	14	issue	issue	NOUN
ejpam-6340	1	15	4	4	NUM
ejpam-6340	1	16	,	,	PUNCT
ejpam-6340	1	17	article	article	NOUN
ejpam-6340	1	18	number	number	NOUN
ejpam-6340	1	19	6340	6340	NUM
ejpam-6340	1	20	issn	issn	PROPN
ejpam-6340	1	21	1307	1307	NUM
ejpam-6340	1	22	-	-	SYM
ejpam-6340	1	23	5543	5543	NUM
ejpam-6340	1	24	–	–	PUNCT
ejpam-6340	1	25	ejpam.com	ejpam.com	X
ejpam-6340	1	26	published	publish	VERB
ejpam-6340	1	27	by	by	ADP
ejpam-6340	1	28	new	new	PROPN
ejpam-6340	1	29	york	york	PROPN
ejpam-6340	1	30	business	business	PROPN
ejpam-6340	1	31	global	global	PROPN
ejpam-6340	1	32	the	the	DET
ejpam-6340	1	33	conformable	conformable	ADJ
ejpam-6340	1	34	double	double	ADJ
ejpam-6340	1	35	laplace	laplace	NOUN
ejpam-6340	1	36	-	-	PUNCT
ejpam-6340	1	37	shehu	shehu	NOUN
ejpam-6340	1	38	transform	transform	VERB
ejpam-6340	1	39	monther	monther	PROPN
ejpam-6340	1	40	al	al	PROPN
ejpam-6340	1	41	-	-	PUNCT
ejpam-6340	1	42	momani1	momani1	PROPN
ejpam-6340	1	43	,	,	PUNCT
ejpam-6340	1	44	baha	baha	PROPN
ejpam-6340	1	45	’	'	PUNCT
ejpam-6340	1	46	abughazaleh2,∗	abughazaleh2,∗	PROPN
ejpam-6340	1	47	1	1	NUM
ejpam-6340	1	48	department	department	NOUN
ejpam-6340	1	49	of	of	ADP
ejpam-6340	1	50	basic	basic	ADJ
ejpam-6340	1	51	sciences	sciences	PROPN
ejpam-6340	1	52	,	,	PUNCT
ejpam-6340	1	53	al	al	PROPN
ejpam-6340	1	54	-	-	PUNCT
ejpam-6340	1	55	ahliyya	ahliyya	PROPN
ejpam-6340	1	56	amman	amman	PROPN
ejpam-6340	1	57	university	university	PROPN
ejpam-6340	1	58	,	,	PUNCT
ejpam-6340	1	59	amman	amman	PROPN
ejpam-6340	1	60	,	,	PUNCT
ejpam-6340	1	61	jordan	jordan	PROPN
ejpam-6340	1	62	2	2	NUM
ejpam-6340	1	63	department	department	NOUN
ejpam-6340	1	64	of	of	ADP
ejpam-6340	1	65	mathematics	mathematics	PROPN
ejpam-6340	1	66	,	,	PUNCT
ejpam-6340	1	67	isra	isra	PROPN
ejpam-6340	1	68	university	university	PROPN
ejpam-6340	1	69	,	,	PUNCT
ejpam-6340	1	70	amman	amman	PROPN
ejpam-6340	1	71	,	,	PUNCT
ejpam-6340	1	72	jordan	jordan	PROPN
ejpam-6340	1	73	abstract	abstract	PROPN
ejpam-6340	1	74	.	.	PUNCT
ejpam-6340	2	1	we	we	PRON
ejpam-6340	2	2	present	present	VERB
ejpam-6340	2	3	a	a	DET
ejpam-6340	2	4	new	new	ADJ
ejpam-6340	2	5	transform	transform	NOUN
ejpam-6340	2	6	called	call	VERB
ejpam-6340	2	7	the	the	DET
ejpam-6340	2	8	conformable	conformable	ADJ
ejpam-6340	2	9	double	double	ADJ
ejpam-6340	2	10	laplace	laplace	NOUN
ejpam-6340	2	11	-	-	PUNCT
ejpam-6340	2	12	shehu	shehu	NOUN
ejpam-6340	2	13	transform	transform	NOUN
ejpam-6340	2	14	.	.	PUNCT
ejpam-6340	3	1	this	this	DET
ejpam-6340	3	2	tool	tool	NOUN
ejpam-6340	3	3	helps	help	VERB
ejpam-6340	3	4	in	in	ADP
ejpam-6340	3	5	solving	solve	VERB
ejpam-6340	3	6	fractional	fractional	ADJ
ejpam-6340	3	7	partial	partial	ADJ
ejpam-6340	3	8	differential	differential	NOUN
ejpam-6340	3	9	equations	equation	NOUN
ejpam-6340	3	10	.	.	PUNCT
ejpam-6340	4	1	these	these	DET
ejpam-6340	4	2	equations	equation	NOUN
ejpam-6340	4	3	come	come	VERB
ejpam-6340	4	4	up	up	ADP
ejpam-6340	4	5	often	often	ADV
ejpam-6340	4	6	in	in	ADP
ejpam-6340	4	7	science	science	NOUN
ejpam-6340	4	8	and	and	CCONJ
ejpam-6340	4	9	engineering	engineering	NOUN
ejpam-6340	4	10	.	.	PUNCT
ejpam-6340	5	1	the	the	DET
ejpam-6340	5	2	transform	transform	NOUN
ejpam-6340	5	3	is	be	AUX
ejpam-6340	5	4	built	build	VERB
ejpam-6340	5	5	using	use	VERB
ejpam-6340	5	6	the	the	DET
ejpam-6340	5	7	idea	idea	NOUN
ejpam-6340	5	8	of	of	ADP
ejpam-6340	5	9	the	the	DET
ejpam-6340	5	10	conformable	conformable	ADJ
ejpam-6340	5	11	derivative	derivative	NOUN
ejpam-6340	5	12	.	.	PUNCT
ejpam-6340	6	1	we	we	PRON
ejpam-6340	6	2	explain	explain	VERB
ejpam-6340	6	3	the	the	DET
ejpam-6340	6	4	basic	basic	ADJ
ejpam-6340	6	5	rules	rule	NOUN
ejpam-6340	6	6	of	of	ADP
ejpam-6340	6	7	the	the	DET
ejpam-6340	6	8	transform	transform	NOUN
ejpam-6340	6	9	and	and	CCONJ
ejpam-6340	6	10	show	show	VERB
ejpam-6340	6	11	how	how	SCONJ
ejpam-6340	6	12	it	it	PRON
ejpam-6340	6	13	can	can	AUX
ejpam-6340	6	14	be	be	AUX
ejpam-6340	6	15	used	use	VERB
ejpam-6340	6	16	.	.	PUNCT
ejpam-6340	7	1	to	to	PART
ejpam-6340	7	2	show	show	VERB
ejpam-6340	7	3	its	its	PRON
ejpam-6340	7	4	use	use	NOUN
ejpam-6340	7	5	,	,	PUNCT
ejpam-6340	7	6	we	we	PRON
ejpam-6340	7	7	solve	solve	VERB
ejpam-6340	7	8	two	two	NUM
ejpam-6340	7	9	equations	equation	NOUN
ejpam-6340	7	10	that	that	PRON
ejpam-6340	7	11	are	be	AUX
ejpam-6340	7	12	well	well	ADV
ejpam-6340	7	13	known	known	ADJ
ejpam-6340	7	14	.	.	PUNCT
ejpam-6340	8	1	these	these	PRON
ejpam-6340	8	2	are	be	AUX
ejpam-6340	8	3	the	the	DET
ejpam-6340	8	4	wave	wave	NOUN
ejpam-6340	8	5	and	and	CCONJ
ejpam-6340	8	6	heat	heat	NOUN
ejpam-6340	8	7	equations	equation	NOUN
ejpam-6340	8	8	.	.	PUNCT
ejpam-6340	9	1	2020	2020	NUM
ejpam-6340	9	2	mathematics	mathematic	NOUN
ejpam-6340	9	3	subject	subject	NOUN
ejpam-6340	9	4	classifications	classification	NOUN
ejpam-6340	9	5	:	:	PUNCT
ejpam-6340	9	6	44a05	44a05	NUM
ejpam-6340	9	7	key	key	ADJ
ejpam-6340	9	8	words	word	NOUN
ejpam-6340	9	9	and	and	CCONJ
ejpam-6340	9	10	phrases	phrase	NOUN
ejpam-6340	9	11	:	:	PUNCT
ejpam-6340	9	12	laplace	laplace	NOUN
ejpam-6340	9	13	transform	transform	NOUN
ejpam-6340	9	14	,	,	PUNCT
ejpam-6340	9	15	shehu	shehu	NOUN
ejpam-6340	9	16	transform	transform	NOUN
ejpam-6340	9	17	,	,	PUNCT
ejpam-6340	9	18	double	double	ADJ
ejpam-6340	9	19	transform	transform	NOUN
ejpam-6340	9	20	,	,	PUNCT
ejpam-6340	9	21	conformable	conformable	ADJ
ejpam-6340	9	22	double	double	ADJ
ejpam-6340	9	23	laplace	laplace	NOUN
ejpam-6340	9	24	-	-	PUNCT
ejpam-6340	9	25	shehu	shehu	NOUN
ejpam-6340	9	26	transform	transform	VERB
ejpam-6340	9	27	1	1	NUM
ejpam-6340	9	28	.	.	PUNCT
ejpam-6340	9	29	introduction	introduction	NOUN
ejpam-6340	9	30	fractional	fractional	ADJ
ejpam-6340	9	31	partial	partial	ADJ
ejpam-6340	9	32	differential	differential	NOUN
ejpam-6340	9	33	equations	equation	NOUN
ejpam-6340	9	34	are	be	AUX
ejpam-6340	9	35	used	use	VERB
ejpam-6340	9	36	to	to	PART
ejpam-6340	9	37	model	model	VERB
ejpam-6340	9	38	many	many	ADJ
ejpam-6340	9	39	problems	problem	NOUN
ejpam-6340	9	40	in	in	ADP
ejpam-6340	9	41	physics	physics	PROPN
ejpam-6340	9	42	,	,	PUNCT
ejpam-6340	9	43	electric	electric	ADJ
ejpam-6340	9	44	circuits	circuit	NOUN
ejpam-6340	9	45	,	,	PUNCT
ejpam-6340	9	46	fluid	fluid	ADJ
ejpam-6340	9	47	flow	flow	NOUN
ejpam-6340	9	48	,	,	PUNCT
ejpam-6340	9	49	optics	optic	NOUN
ejpam-6340	9	50	,	,	PUNCT
ejpam-6340	9	51	and	and	CCONJ
ejpam-6340	9	52	biology	biology	NOUN
ejpam-6340	9	53	.	.	PUNCT
ejpam-6340	10	1	the	the	DET
ejpam-6340	10	2	conformable	conformable	ADJ
ejpam-6340	10	3	derivative	derivative	NOUN
ejpam-6340	10	4	,	,	PUNCT
ejpam-6340	10	5	as	as	SCONJ
ejpam-6340	10	6	introduced	introduce	VERB
ejpam-6340	10	7	in	in	ADP
ejpam-6340	10	8	[	[	X
ejpam-6340	10	9	1	1	NUM
ejpam-6340	10	10	]	]	PUNCT
ejpam-6340	10	11	,	,	PUNCT
ejpam-6340	10	12	keeps	keep	VERB
ejpam-6340	10	13	most	most	ADJ
ejpam-6340	10	14	of	of	ADP
ejpam-6340	10	15	the	the	DET
ejpam-6340	10	16	main	main	ADJ
ejpam-6340	10	17	ideas	idea	NOUN
ejpam-6340	10	18	of	of	ADP
ejpam-6340	10	19	classical	classical	ADJ
ejpam-6340	10	20	derivatives	derivative	NOUN
ejpam-6340	10	21	while	while	SCONJ
ejpam-6340	10	22	working	work	VERB
ejpam-6340	10	23	for	for	ADP
ejpam-6340	10	24	fractional	fractional	ADJ
ejpam-6340	10	25	cases	case	NOUN
ejpam-6340	10	26	.	.	PUNCT
ejpam-6340	11	1	several	several	ADJ
ejpam-6340	11	2	methods	method	NOUN
ejpam-6340	11	3	have	have	AUX
ejpam-6340	11	4	been	be	AUX
ejpam-6340	11	5	developed	develop	VERB
ejpam-6340	11	6	for	for	ADP
ejpam-6340	11	7	solving	solve	VERB
ejpam-6340	11	8	conformable	conformable	ADJ
ejpam-6340	11	9	fractional	fractional	ADJ
ejpam-6340	11	10	equations	equation	NOUN
ejpam-6340	11	11	.	.	PUNCT
ejpam-6340	12	1	the	the	DET
ejpam-6340	12	2	conformable	conformable	ADJ
ejpam-6340	12	3	double	double	ADJ
ejpam-6340	12	4	laplace	laplace	NOUN
ejpam-6340	12	5	transform	transform	NOUN
ejpam-6340	12	6	was	be	AUX
ejpam-6340	12	7	discussed	discuss	VERB
ejpam-6340	12	8	in	in	ADP
ejpam-6340	12	9	[	[	X
ejpam-6340	12	10	2	2	NUM
ejpam-6340	12	11	,	,	PUNCT
ejpam-6340	12	12	3	3	NUM
ejpam-6340	12	13	]	]	PUNCT
ejpam-6340	12	14	,	,	PUNCT
ejpam-6340	12	15	while	while	SCONJ
ejpam-6340	12	16	the	the	DET
ejpam-6340	12	17	conformable	conformable	ADJ
ejpam-6340	12	18	double	double	ADJ
ejpam-6340	12	19	sumudu	sumudu	NOUN
ejpam-6340	12	20	transform	transform	NOUN
ejpam-6340	12	21	appeared	appear	VERB
ejpam-6340	12	22	in	in	ADP
ejpam-6340	12	23	[	[	X
ejpam-6340	12	24	4	4	NUM
ejpam-6340	12	25	]	]	PUNCT
ejpam-6340	12	26	.	.	PUNCT
ejpam-6340	13	1	more	more	ADJ
ejpam-6340	13	2	work	work	NOUN
ejpam-6340	13	3	on	on	ADP
ejpam-6340	13	4	these	these	DET
ejpam-6340	13	5	types	type	NOUN
ejpam-6340	13	6	of	of	ADP
ejpam-6340	13	7	transforms	transform	NOUN
ejpam-6340	13	8	can	can	AUX
ejpam-6340	13	9	be	be	AUX
ejpam-6340	13	10	found	find	VERB
ejpam-6340	13	11	in	in	ADP
ejpam-6340	13	12	[	[	X
ejpam-6340	13	13	5–7	5–7	NOUN
ejpam-6340	13	14	]	]	PUNCT
ejpam-6340	13	15	.	.	PUNCT
ejpam-6340	14	1	later	later	ADV
ejpam-6340	14	2	,	,	PUNCT
ejpam-6340	14	3	a	a	DET
ejpam-6340	14	4	new	new	ADJ
ejpam-6340	14	5	method	method	NOUN
ejpam-6340	14	6	called	call	VERB
ejpam-6340	14	7	the	the	DET
ejpam-6340	14	8	double	double	ADJ
ejpam-6340	14	9	laplace	laplace	NOUN
ejpam-6340	14	10	-	-	PUNCT
ejpam-6340	14	11	shehu	shehu	NOUN
ejpam-6340	14	12	transform	transform	NOUN
ejpam-6340	14	13	was	be	AUX
ejpam-6340	14	14	proposed	propose	VERB
ejpam-6340	14	15	in	in	ADP
ejpam-6340	14	16	[	[	X
ejpam-6340	14	17	8	8	NUM
ejpam-6340	14	18	]	]	PUNCT
ejpam-6340	14	19	.	.	PUNCT
ejpam-6340	15	1	it	it	PRON
ejpam-6340	15	2	was	be	AUX
ejpam-6340	15	3	applied	apply	VERB
ejpam-6340	15	4	successfully	successfully	ADV
ejpam-6340	15	5	to	to	ADP
ejpam-6340	15	6	different	different	ADJ
ejpam-6340	15	7	types	type	NOUN
ejpam-6340	15	8	of	of	ADP
ejpam-6340	15	9	partial	partial	ADJ
ejpam-6340	15	10	differential	differential	ADJ
ejpam-6340	15	11	equations	equation	NOUN
ejpam-6340	15	12	.	.	PUNCT
ejpam-6340	16	1	further	further	ADJ
ejpam-6340	16	2	studies	study	NOUN
ejpam-6340	16	3	related	relate	VERB
ejpam-6340	16	4	to	to	ADP
ejpam-6340	16	5	integral	integral	ADJ
ejpam-6340	16	6	transforms	transform	NOUN
ejpam-6340	16	7	are	be	AUX
ejpam-6340	16	8	available	available	ADJ
ejpam-6340	16	9	in	in	ADP
ejpam-6340	16	10	[	[	X
ejpam-6340	16	11	9–16	9–16	NOUN
ejpam-6340	16	12	]	]	PUNCT
ejpam-6340	16	13	.	.	PUNCT
ejpam-6340	17	1	in	in	ADP
ejpam-6340	17	2	this	this	DET
ejpam-6340	17	3	paper	paper	NOUN
ejpam-6340	17	4	,	,	PUNCT
ejpam-6340	17	5	we	we	PRON
ejpam-6340	17	6	presented	present	VERB
ejpam-6340	17	7	a	a	DET
ejpam-6340	17	8	new	new	ADJ
ejpam-6340	17	9	method	method	NOUN
ejpam-6340	17	10	called	call	VERB
ejpam-6340	17	11	the	the	DET
ejpam-6340	17	12	conformable	conformable	ADJ
ejpam-6340	17	13	double	double	ADJ
ejpam-6340	17	14	laplace	laplace	NOUN
ejpam-6340	17	15	-	-	PUNCT
ejpam-6340	17	16	shehu	shehu	NOUN
ejpam-6340	17	17	transform	transform	NOUN
ejpam-6340	17	18	(	(	PUNCT
ejpam-6340	17	19	cl	cl	NOUN
ejpam-6340	17	20	-	-	PUNCT
ejpam-6340	17	21	sh	sh	NOUN
ejpam-6340	17	22	)	)	PUNCT
ejpam-6340	17	23	for	for	ADP
ejpam-6340	17	24	solving	solve	VERB
ejpam-6340	17	25	a	a	DET
ejpam-6340	17	26	specific	specific	ADJ
ejpam-6340	17	27	type	type	NOUN
ejpam-6340	17	28	of	of	ADP
ejpam-6340	17	29	partial	partial	ADJ
ejpam-6340	17	30	differential	differential	NOUN
ejpam-6340	17	31	equations	equation	NOUN
ejpam-6340	17	32	.	.	PUNCT
ejpam-6340	18	1	we	we	PRON
ejpam-6340	18	2	first	first	ADV
ejpam-6340	18	3	outline	outline	VERB
ejpam-6340	18	4	the	the	DET
ejpam-6340	18	5	basic	basic	ADJ
ejpam-6340	18	6	properties	property	NOUN
ejpam-6340	18	7	of	of	ADP
ejpam-6340	18	8	this	this	DET
ejpam-6340	18	9	transform	transform	NOUN
ejpam-6340	18	10	such	such	ADJ
ejpam-6340	18	11	as	as	ADP
ejpam-6340	18	12	the	the	DET
ejpam-6340	18	13	conditions	condition	NOUN
ejpam-6340	18	14	that	that	PRON
ejpam-6340	18	15	make	make	VERB
ejpam-6340	18	16	it	it	PRON
ejpam-6340	18	17	valid	valid	ADJ
ejpam-6340	18	18	for	for	ADP
ejpam-6340	18	19	use	use	NOUN
ejpam-6340	18	20	and	and	CCONJ
ejpam-6340	18	21	how	how	SCONJ
ejpam-6340	18	22	it	it	PRON
ejpam-6340	18	23	interacts	interact	VERB
ejpam-6340	18	24	with	with	ADP
ejpam-6340	18	25	mathematical	mathematical	ADJ
ejpam-6340	18	26	derivatives	derivative	NOUN
ejpam-6340	18	27	then	then	ADV
ejpam-6340	18	28	we	we	PRON
ejpam-6340	18	29	demonstrate	demonstrate	VERB
ejpam-6340	18	30	through	through	ADP
ejpam-6340	18	31	practical	practical	ADJ
ejpam-6340	18	32	examples	example	NOUN
ejpam-6340	18	33	how	how	SCONJ
ejpam-6340	18	34	it	it	PRON
ejpam-6340	18	35	can	can	AUX
ejpam-6340	18	36	be	be	AUX
ejpam-6340	18	37	applied	apply	VERB
ejpam-6340	18	38	to	to	PART
ejpam-6340	18	39	solve	solve	VERB
ejpam-6340	18	40	these	these	DET
ejpam-6340	18	41	equations	equation	NOUN
ejpam-6340	18	42	.	.	PUNCT
ejpam-6340	19	1	this	this	DET
ejpam-6340	19	2	method	method	NOUN
ejpam-6340	19	3	offers	offer	VERB
ejpam-6340	19	4	a	a	DET
ejpam-6340	19	5	different	different	ADJ
ejpam-6340	19	6	perspective	perspective	NOUN
ejpam-6340	19	7	for	for	ADP
ejpam-6340	19	8	studying	study	VERB
ejpam-6340	19	9	mathematical	mathematical	ADJ
ejpam-6340	19	10	problems	problem	NOUN
ejpam-6340	19	11	and	and	CCONJ
ejpam-6340	19	12	may	may	AUX
ejpam-6340	19	13	pave	pave	VERB
ejpam-6340	19	14	the	the	DET
ejpam-6340	19	15	way	way	NOUN
ejpam-6340	19	16	for	for	ADP
ejpam-6340	19	17	developing	develop	VERB
ejpam-6340	19	18	new	new	ADJ
ejpam-6340	19	19	ideas	idea	NOUN
ejpam-6340	19	20	in	in	ADP
ejpam-6340	19	21	applied	applied	ADJ
ejpam-6340	19	22	mathematics	mathematic	NOUN
ejpam-6340	19	23	.	.	PUNCT
ejpam-6340	20	1	∗corresponding	∗corresponde	VERB
ejpam-6340	20	2	author	author	NOUN
ejpam-6340	20	3	.	.	PUNCT
ejpam-6340	21	1	doi	doi	NOUN
ejpam-6340	21	2	:	:	PUNCT
ejpam-6340	21	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6340	https://doi.org/10.29020/nybg.ejpam.v18i4.6340	NOUN
ejpam-6340	21	4	email	email	NOUN
ejpam-6340	21	5	addresses	address	NOUN
ejpam-6340	21	6	:	:	PUNCT
ejpam-6340	21	7	montheralmomani72@gmail.com	montheralmomani72@gmail.com	X
ejpam-6340	21	8	(	(	PUNCT
ejpam-6340	21	9	m.	m.	PROPN
ejpam-6340	21	10	al	al	PROPN
ejpam-6340	21	11	-	-	PUNCT
ejpam-6340	21	12	momani	momani	NOUN
ejpam-6340	21	13	)	)	PUNCT
ejpam-6340	21	14	,	,	PUNCT
ejpam-6340	21	15	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-6340	21	16	(	(	PUNCT
ejpam-6340	21	17	b.	b.	PROPN
ejpam-6340	21	18	abughazaleh	abughazaleh	PROPN
ejpam-6340	21	19	)	)	PUNCT
ejpam-6340	21	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6340	22	1	1	1	NUM
ejpam-6340	22	2	copyright	copyright	NOUN
ejpam-6340	22	3	:	:	PUNCT
ejpam-6340	22	4	©	©	PROPN
ejpam-6340	22	5	2025	2025	NUM
ejpam-6340	22	6	the	the	DET
ejpam-6340	22	7	author(s	author(s	NOUN
ejpam-6340	22	8	)	)	PUNCT
ejpam-6340	22	9	.	.	PUNCT
ejpam-6340	23	1	(	(	PUNCT
ejpam-6340	23	2	cc	cc	NOUN
ejpam-6340	23	3	by	by	ADP
ejpam-6340	23	4	-	-	PUNCT
ejpam-6340	23	5	nc	nc	PROPN
ejpam-6340	23	6	4.0	4.0	NUM
ejpam-6340	23	7	)	)	PUNCT
ejpam-6340	23	8	m.	m.	NOUN
ejpam-6340	23	9	al	al	PROPN
ejpam-6340	23	10	-	-	PUNCT
ejpam-6340	23	11	momani	momani	PROPN
ejpam-6340	23	12	,	,	PUNCT
ejpam-6340	23	13	b.	b.	PROPN
ejpam-6340	23	14	abughazaleh	abughazaleh	PROPN
ejpam-6340	23	15	/	/	SYM
ejpam-6340	23	16	eur	eur	PROPN
ejpam-6340	23	17	.	.	PUNCT
ejpam-6340	24	1	j.	j.	PROPN
ejpam-6340	24	2	pure	pure	PROPN
ejpam-6340	24	3	appl	appl	PROPN
ejpam-6340	24	4	.	.	PROPN
ejpam-6340	24	5	math	math	PROPN
ejpam-6340	24	6	,	,	PUNCT
ejpam-6340	24	7	18	18	NUM
ejpam-6340	24	8	(	(	PUNCT
ejpam-6340	24	9	4	4	NUM
ejpam-6340	24	10	)	)	PUNCT
ejpam-6340	24	11	(	(	PUNCT
ejpam-6340	24	12	2025	2025	NUM
ejpam-6340	24	13	)	)	PUNCT
ejpam-6340	24	14	,	,	PUNCT
ejpam-6340	24	15	6340	6340	NUM
ejpam-6340	24	16	2	2	NUM
ejpam-6340	24	17	of	of	ADP
ejpam-6340	24	18	12	12	NUM
ejpam-6340	24	19	2	2	NUM
ejpam-6340	24	20	.	.	PUNCT
ejpam-6340	25	1	conformable	conformable	ADJ
ejpam-6340	25	2	fractional	fractional	ADJ
ejpam-6340	25	3	derivative	derivative	NOUN
ejpam-6340	25	4	we	we	PRON
ejpam-6340	25	5	give	give	VERB
ejpam-6340	25	6	the	the	DET
ejpam-6340	25	7	main	main	ADJ
ejpam-6340	25	8	definitions	definition	NOUN
ejpam-6340	25	9	and	and	CCONJ
ejpam-6340	25	10	results	result	NOUN
ejpam-6340	25	11	for	for	ADP
ejpam-6340	25	12	conformable	conformable	ADJ
ejpam-6340	25	13	fractional	fractional	ADJ
ejpam-6340	25	14	derivatives	derivative	NOUN
ejpam-6340	25	15	in	in	ADP
ejpam-6340	25	16	this	this	DET
ejpam-6340	25	17	section	section	NOUN
ejpam-6340	25	18	.	.	PUNCT
ejpam-6340	26	1	definition	definition	NOUN
ejpam-6340	26	2	1	1	NUM
ejpam-6340	26	3	.	.	PUNCT
ejpam-6340	27	1	[	[	X
ejpam-6340	27	2	1	1	X
ejpam-6340	27	3	]	]	PUNCT
ejpam-6340	27	4	let	let	VERB
ejpam-6340	27	5	0	0	PUNCT
ejpam-6340	27	6	<	<	X
ejpam-6340	27	7	γ	γ	X
ejpam-6340	27	8	≤	≤	NUM
ejpam-6340	27	9	1	1	NUM
ejpam-6340	27	10	and	and	CCONJ
ejpam-6340	27	11	r	r	NOUN
ejpam-6340	27	12	:	:	PUNCT
ejpam-6340	28	1	[	[	X
ejpam-6340	28	2	0,∞)→	0,∞)→	NOUN
ejpam-6340	28	3	r.	r.	NOUN
ejpam-6340	28	4	the	the	DET
ejpam-6340	28	5	conformable	conformable	ADJ
ejpam-6340	28	6	fractional	fractional	ADJ
ejpam-6340	28	7	derivative	derivative	NOUN
ejpam-6340	28	8	of	of	ADP
ejpam-6340	28	9	order	order	NOUN
ejpam-6340	28	10	γ	γ	X
ejpam-6340	28	11	is	be	AUX
ejpam-6340	28	12	defined	define	VERB
ejpam-6340	28	13	as	as	ADP
ejpam-6340	28	14	:	:	PUNCT
ejpam-6340	28	15	dγ	dγ	ADP
ejpam-6340	28	16	dλγ	dλγ	PROPN
ejpam-6340	28	17	r(λ	r(λ	PROPN
ejpam-6340	28	18	)	)	PUNCT
ejpam-6340	28	19	=	=	SYM
ejpam-6340	28	20	lim	lim	PROPN
ejpam-6340	28	21	υ→0	υ→0	X
ejpam-6340	28	22	r(λ+	r(λ+	NOUN
ejpam-6340	28	23	υλ1−γ)−	υλ1−γ)−	NOUN
ejpam-6340	28	24	r(λ	r(λ	NOUN
ejpam-6340	28	25	)	)	PUNCT
ejpam-6340	28	26	υ	υ	NOUN
ejpam-6340	28	27	where	where	SCONJ
ejpam-6340	28	28	λ	λ	PROPN
ejpam-6340	28	29	≥	≥	NOUN
ejpam-6340	28	30	0	0	NUM
ejpam-6340	28	31	,	,	PUNCT
ejpam-6340	28	32	and	and	CCONJ
ejpam-6340	28	33	∂γ	∂γ	PROPN
ejpam-6340	28	34	∂λγ	∂λγ	NOUN
ejpam-6340	28	35	is	be	AUX
ejpam-6340	28	36	referred	refer	VERB
ejpam-6340	28	37	to	to	ADP
ejpam-6340	28	38	as	as	ADP
ejpam-6340	28	39	the	the	DET
ejpam-6340	28	40	fractional	fractional	ADJ
ejpam-6340	28	41	derivative	derivative	NOUN
ejpam-6340	28	42	of	of	ADP
ejpam-6340	28	43	order	order	NOUN
ejpam-6340	28	44	γ	γ	PROPN
ejpam-6340	28	45	.	.	PROPN
ejpam-6340	28	46	definition	definition	NOUN
ejpam-6340	28	47	2	2	NUM
ejpam-6340	28	48	.	.	PUNCT
ejpam-6340	29	1	[	[	X
ejpam-6340	29	2	17	17	NUM
ejpam-6340	29	3	]	]	PUNCT
ejpam-6340	29	4	let	let	VERB
ejpam-6340	29	5	0	0	NUM
ejpam-6340	29	6	<	<	X
ejpam-6340	29	7	γ1	γ1	PROPN
ejpam-6340	29	8	,	,	PUNCT
ejpam-6340	29	9	γ2	γ2	ADJ
ejpam-6340	29	10	≤	≤	ADJ
ejpam-6340	29	11	1	1	NUM
ejpam-6340	29	12	and	and	CCONJ
ejpam-6340	29	13	r(λ	r(λ	NOUN
ejpam-6340	29	14	,	,	PUNCT
ejpam-6340	29	15	µ	µ	NOUN
ejpam-6340	29	16	)	)	PUNCT
ejpam-6340	29	17	:	:	PUNCT
ejpam-6340	30	1	[	[	X
ejpam-6340	30	2	0,∞)×[0,∞)→	0,∞)×[0,∞)→	X
ejpam-6340	30	3	r.	r.	NOUN
ejpam-6340	30	4	the	the	DET
ejpam-6340	30	5	conformable	conformable	ADJ
ejpam-6340	30	6	partial	partial	ADJ
ejpam-6340	30	7	derivatives	derivative	NOUN
ejpam-6340	30	8	of	of	ADP
ejpam-6340	30	9	orders	order	NOUN
ejpam-6340	30	10	γ1	γ1	NOUN
ejpam-6340	30	11	and	and	CCONJ
ejpam-6340	30	12	γ2	γ2	NOUN
ejpam-6340	30	13	of	of	ADP
ejpam-6340	30	14	the	the	DET
ejpam-6340	30	15	function	function	NOUN
ejpam-6340	30	16	r(λ	r(λ	PROPN
ejpam-6340	30	17	,	,	PUNCT
ejpam-6340	30	18	µ	µ	NOUN
ejpam-6340	30	19	)	)	PUNCT
ejpam-6340	30	20	are	be	AUX
ejpam-6340	30	21	defined	define	VERB
ejpam-6340	30	22	as	as	ADP
ejpam-6340	30	23	:	:	PUNCT
ejpam-6340	30	24	∂γ1	∂γ1	PROPN
ejpam-6340	30	25	∂λγ1	∂λγ1	NUM
ejpam-6340	30	26	r(λ	r(λ	PROPN
ejpam-6340	30	27	,	,	PUNCT
ejpam-6340	30	28	µ	µ	NOUN
ejpam-6340	30	29	)	)	PUNCT
ejpam-6340	30	30	=	=	SYM
ejpam-6340	30	31	lim	lim	PROPN
ejpam-6340	30	32	υ→0	υ→0	X
ejpam-6340	30	33	r(λ+	r(λ+	NOUN
ejpam-6340	30	34	υλ1−γ1	υλ1−γ1	NOUN
ejpam-6340	30	35	,	,	PUNCT
ejpam-6340	30	36	µ)−	µ)−	NOUN
ejpam-6340	30	37	r(λ	r(λ	NOUN
ejpam-6340	30	38	,	,	PUNCT
ejpam-6340	30	39	µ	µ	NOUN
ejpam-6340	30	40	)	)	PUNCT
ejpam-6340	30	41	υ	υ	NOUN
ejpam-6340	30	42	∂γ2	∂γ2	PROPN
ejpam-6340	30	43	∂µγ2	∂µγ2	PROPN
ejpam-6340	30	44	r(λ	r(λ	PROPN
ejpam-6340	30	45	,	,	PUNCT
ejpam-6340	30	46	µ	µ	NOUN
ejpam-6340	30	47	)	)	PUNCT
ejpam-6340	30	48	=	=	SYM
ejpam-6340	30	49	lim	lim	PROPN
ejpam-6340	30	50	υ→0	υ→0	X
ejpam-6340	30	51	r(λ	r(λ	PROPN
ejpam-6340	30	52	,	,	PUNCT
ejpam-6340	30	53	µ+	µ+	X
ejpam-6340	30	54	υµ1−γ2)−	υµ1−γ2)−	PUNCT
ejpam-6340	30	55	r(λ	r(λ	PROPN
ejpam-6340	30	56	,	,	PUNCT
ejpam-6340	30	57	µ	µ	NOUN
ejpam-6340	30	58	)	)	PUNCT
ejpam-6340	30	59	υ	υ	NOUN
ejpam-6340	30	60	where	where	SCONJ
ejpam-6340	30	61	λ	λ	NOUN
ejpam-6340	30	62	,	,	PUNCT
ejpam-6340	30	63	µ	µ	PRON
ejpam-6340	30	64	≥	≥	NOUN
ejpam-6340	30	65	0	0	NUM
ejpam-6340	30	66	,	,	PUNCT
ejpam-6340	30	67	∂γ1	∂γ1	PROPN
ejpam-6340	30	68	∂λγ1	∂λγ1	NOUN
ejpam-6340	30	69	and	and	CCONJ
ejpam-6340	30	70	∂γ2	∂γ2	PROPN
ejpam-6340	30	71	∂µγ2	∂µγ2	PROPN
ejpam-6340	30	72	are	be	AUX
ejpam-6340	30	73	referred	refer	VERB
ejpam-6340	30	74	to	to	ADP
ejpam-6340	30	75	as	as	ADP
ejpam-6340	30	76	fractional	fractional	ADJ
ejpam-6340	30	77	derivatives	derivative	NOUN
ejpam-6340	30	78	of	of	ADP
ejpam-6340	30	79	orders	order	NOUN
ejpam-6340	30	80	γ1	γ1	NOUN
ejpam-6340	30	81	and	and	CCONJ
ejpam-6340	30	82	γ2	γ2	NOUN
ejpam-6340	30	83	,	,	PUNCT
ejpam-6340	30	84	respectively	respectively	ADV
ejpam-6340	30	85	.	.	PUNCT
ejpam-6340	31	1	theorem	theorem	NOUN
ejpam-6340	31	2	1	1	NUM
ejpam-6340	31	3	.	.	PUNCT
ejpam-6340	32	1	[	[	X
ejpam-6340	32	2	18]suppose	18]suppose	NUM
ejpam-6340	32	3	that	that	SCONJ
ejpam-6340	32	4	r(λ	r(λ	NOUN
ejpam-6340	32	5	,	,	PUNCT
ejpam-6340	32	6	µ	µ	NOUN
ejpam-6340	32	7	)	)	PUNCT
ejpam-6340	32	8	is	be	AUX
ejpam-6340	32	9	differentiable	differentiable	ADJ
ejpam-6340	32	10	at	at	ADP
ejpam-6340	32	11	a	a	DET
ejpam-6340	32	12	point	point	NOUN
ejpam-6340	32	13	λ	λ	PROPN
ejpam-6340	32	14	,	,	PUNCT
ejpam-6340	32	15	µ	µ	X
ejpam-6340	32	16	≥	≥	NOUN
ejpam-6340	32	17	0	0	NUM
ejpam-6340	32	18	,	,	PUNCT
ejpam-6340	32	19	0	0	NUM
ejpam-6340	32	20	<	<	X
ejpam-6340	32	21	γ1	γ1	NOUN
ejpam-6340	32	22	,	,	PUNCT
ejpam-6340	32	23	γ2	γ2	PROPN
ejpam-6340	32	24	≤	≤	ADV
ejpam-6340	32	25	1	1	NUM
ejpam-6340	32	26	,	,	PUNCT
ejpam-6340	32	27	then	then	ADV
ejpam-6340	32	28	:	:	PUNCT
ejpam-6340	32	29	∂γ1r	∂γ1r	PUNCT
ejpam-6340	32	30	∂λγ1	∂λγ1	NOUN
ejpam-6340	32	31	=	=	SYM
ejpam-6340	32	32	λ1−γ1	λ1−γ1	PROPN
ejpam-6340	33	1	∂r	∂r	PROPN
ejpam-6340	33	2	∂λ	∂λ	PROPN
ejpam-6340	33	3	,	,	PUNCT
ejpam-6340	33	4	∂γ2r	∂γ2r	ADJ
ejpam-6340	33	5	∂µγ2	∂µγ2	NOUN
ejpam-6340	33	6	=	=	SYM
ejpam-6340	33	7	µ1−γ2	µ1−γ2	NUM
ejpam-6340	33	8	∂r	∂r	PROPN
ejpam-6340	33	9	∂µ	∂µ	PROPN
ejpam-6340	33	10	.	.	PUNCT
ejpam-6340	34	1	3	3	X
ejpam-6340	34	2	.	.	X
ejpam-6340	35	1	the	the	DET
ejpam-6340	35	2	conformable	conformable	ADJ
ejpam-6340	35	3	double	double	ADJ
ejpam-6340	35	4	laplace	laplace	NOUN
ejpam-6340	35	5	-	-	PUNCT
ejpam-6340	35	6	shehu	shehu	NOUN
ejpam-6340	35	7	transform	transform	VERB
ejpam-6340	35	8	this	this	DET
ejpam-6340	35	9	section	section	NOUN
ejpam-6340	35	10	defines	define	VERB
ejpam-6340	35	11	the	the	DET
ejpam-6340	35	12	cl	cl	NOUN
ejpam-6340	35	13	-	-	PUNCT
ejpam-6340	35	14	sh	sh	PROPN
ejpam-6340	35	15	and	and	CCONJ
ejpam-6340	35	16	explains	explain	VERB
ejpam-6340	35	17	its	its	PRON
ejpam-6340	35	18	basic	basic	ADJ
ejpam-6340	35	19	properties	property	NOUN
ejpam-6340	35	20	.	.	PUNCT
ejpam-6340	36	1	we	we	PRON
ejpam-6340	36	2	start	start	VERB
ejpam-6340	36	3	by	by	ADP
ejpam-6340	36	4	introducing	introduce	VERB
ejpam-6340	36	5	the	the	DET
ejpam-6340	36	6	individual	individual	ADJ
ejpam-6340	36	7	conformable	conformable	ADJ
ejpam-6340	36	8	laplace	laplace	NOUN
ejpam-6340	36	9	and	and	CCONJ
ejpam-6340	36	10	shehu	shehu	NOUN
ejpam-6340	36	11	transforms	transform	VERB
ejpam-6340	36	12	,	,	PUNCT
ejpam-6340	36	13	then	then	ADV
ejpam-6340	36	14	define	define	VERB
ejpam-6340	36	15	the	the	DET
ejpam-6340	36	16	combined	combine	VERB
ejpam-6340	36	17	form	form	NOUN
ejpam-6340	36	18	.	.	PUNCT
ejpam-6340	37	1	we	we	PRON
ejpam-6340	37	2	prove	prove	VERB
ejpam-6340	37	3	that	that	SCONJ
ejpam-6340	37	4	the	the	DET
ejpam-6340	37	5	cl	cl	NOUN
ejpam-6340	37	6	-	-	PUNCT
ejpam-6340	37	7	sh	sh	PROPN
ejpam-6340	37	8	is	be	AUX
ejpam-6340	37	9	a	a	DET
ejpam-6340	37	10	linear	linear	ADJ
ejpam-6340	37	11	operator	operator	NOUN
ejpam-6340	37	12	.	.	PUNCT
ejpam-6340	38	1	we	we	PRON
ejpam-6340	38	2	also	also	ADV
ejpam-6340	38	3	give	give	VERB
ejpam-6340	38	4	the	the	DET
ejpam-6340	38	5	conditions	condition	NOUN
ejpam-6340	38	6	under	under	ADP
ejpam-6340	38	7	which	which	PRON
ejpam-6340	38	8	the	the	DET
ejpam-6340	38	9	transform	transform	NOUN
ejpam-6340	38	10	exists	exist	VERB
ejpam-6340	38	11	.	.	PUNCT
ejpam-6340	39	1	several	several	ADJ
ejpam-6340	39	2	examples	example	NOUN
ejpam-6340	39	3	for	for	ADP
ejpam-6340	39	4	basic	basic	ADJ
ejpam-6340	39	5	functions	function	NOUN
ejpam-6340	39	6	are	be	AUX
ejpam-6340	39	7	included	include	VERB
ejpam-6340	39	8	.	.	PUNCT
ejpam-6340	40	1	finally	finally	ADV
ejpam-6340	40	2	,	,	PUNCT
ejpam-6340	40	3	we	we	PRON
ejpam-6340	40	4	show	show	VERB
ejpam-6340	40	5	how	how	SCONJ
ejpam-6340	40	6	the	the	DET
ejpam-6340	40	7	cl	cl	NOUN
ejpam-6340	40	8	-	-	PUNCT
ejpam-6340	40	9	sh	sh	PROPN
ejpam-6340	40	10	interacts	interact	VERB
ejpam-6340	40	11	with	with	ADP
ejpam-6340	40	12	conformable	conformable	ADJ
ejpam-6340	40	13	partial	partial	ADJ
ejpam-6340	40	14	derivatives	derivative	NOUN
ejpam-6340	40	15	through	through	ADP
ejpam-6340	40	16	a	a	DET
ejpam-6340	40	17	set	set	NOUN
ejpam-6340	40	18	of	of	ADP
ejpam-6340	40	19	key	key	ADJ
ejpam-6340	40	20	identities	identity	NOUN
ejpam-6340	40	21	.	.	PUNCT
ejpam-6340	41	1	m.	m.	PROPN
ejpam-6340	41	2	al	al	PROPN
ejpam-6340	41	3	-	-	PUNCT
ejpam-6340	41	4	momani	momani	PROPN
ejpam-6340	41	5	,	,	PUNCT
ejpam-6340	41	6	b.	b.	PROPN
ejpam-6340	41	7	abughazaleh	abughazaleh	PROPN
ejpam-6340	41	8	/	/	SYM
ejpam-6340	41	9	eur	eur	PROPN
ejpam-6340	41	10	.	.	PUNCT
ejpam-6340	42	1	j.	j.	PROPN
ejpam-6340	42	2	pure	pure	PROPN
ejpam-6340	42	3	appl	appl	PROPN
ejpam-6340	42	4	.	.	PROPN
ejpam-6340	42	5	math	math	PROPN
ejpam-6340	42	6	,	,	PUNCT
ejpam-6340	42	7	18	18	NUM
ejpam-6340	42	8	(	(	PUNCT
ejpam-6340	42	9	4	4	NUM
ejpam-6340	42	10	)	)	PUNCT
ejpam-6340	42	11	(	(	PUNCT
ejpam-6340	42	12	2025	2025	NUM
ejpam-6340	42	13	)	)	PUNCT
ejpam-6340	42	14	,	,	PUNCT
ejpam-6340	42	15	6340	6340	NUM
ejpam-6340	42	16	3	3	NUM
ejpam-6340	42	17	of	of	ADP
ejpam-6340	42	18	12	12	NUM
ejpam-6340	42	19	3.1	3.1	NUM
ejpam-6340	42	20	.	.	PUNCT
ejpam-6340	43	1	definition	definition	NOUN
ejpam-6340	43	2	and	and	CCONJ
ejpam-6340	43	3	basic	basic	ADJ
ejpam-6340	43	4	properties	property	NOUN
ejpam-6340	43	5	of	of	ADP
ejpam-6340	43	6	the	the	DET
ejpam-6340	43	7	conformable	conformable	ADJ
ejpam-6340	43	8	double	double	ADJ
ejpam-6340	43	9	laplaceshehu	laplaceshehu	NOUN
ejpam-6340	43	10	transform	transform	NOUN
ejpam-6340	43	11	definition	definition	NOUN
ejpam-6340	43	12	3	3	X
ejpam-6340	43	13	.	.	PUNCT
ejpam-6340	44	1	let	let	AUX
ejpam-6340	44	2	r(λ	r(λ	NOUN
ejpam-6340	44	3	,	,	PUNCT
ejpam-6340	44	4	µ	µ	NOUN
ejpam-6340	44	5	)	)	PUNCT
ejpam-6340	44	6	be	be	AUX
ejpam-6340	44	7	a	a	DET
ejpam-6340	44	8	continuous	continuous	ADJ
ejpam-6340	44	9	function	function	NOUN
ejpam-6340	44	10	on	on	ADP
ejpam-6340	44	11	[	[	X
ejpam-6340	44	12	0,∞)×[0,∞	0,∞)×[0,∞	NOUN
ejpam-6340	44	13	)	)	PUNCT
ejpam-6340	44	14	.	.	PUNCT
ejpam-6340	45	1	then	then	ADV
ejpam-6340	45	2	1the	1the	PRON
ejpam-6340	45	3	conformable	conformable	ADJ
ejpam-6340	45	4	laplace	laplace	NOUN
ejpam-6340	45	5	transformation	transformation	NOUN
ejpam-6340	45	6	(	(	PUNCT
ejpam-6340	45	7	cl	cl	NOUN
ejpam-6340	45	8	)	)	PUNCT
ejpam-6340	45	9	of	of	ADP
ejpam-6340	45	10	r(λ	r(λ	PROPN
ejpam-6340	45	11	,	,	PUNCT
ejpam-6340	45	12	µ	µ	NOUN
ejpam-6340	45	13	)	)	PUNCT
ejpam-6340	45	14	,	,	PUNCT
ejpam-6340	45	15	denoted	denote	VERB
ejpam-6340	45	16	by	by	ADP
ejpam-6340	45	17	lγ	lγ	ADP
ejpam-6340	45	18	λ[r(λ	λ[r(λ	PROPN
ejpam-6340	45	19	,	,	PUNCT
ejpam-6340	45	20	µ	µ	NOUN
ejpam-6340	45	21	)	)	PUNCT
ejpam-6340	45	22	]	]	PUNCT
ejpam-6340	45	23	,	,	PUNCT
ejpam-6340	45	24	is	be	AUX
ejpam-6340	45	25	defined	define	VERB
ejpam-6340	45	26	as	as	ADP
ejpam-6340	45	27	:	:	PUNCT
ejpam-6340	45	28	a	a	DET
ejpam-6340	45	29	(	(	PUNCT
ejpam-6340	45	30	ς	ς	NOUN
ejpam-6340	45	31	)	)	PUNCT
ejpam-6340	45	32	=	=	PRON
ejpam-6340	45	33	lγ	lγ	ADP
ejpam-6340	45	34	λ(r(λ	λ(r(λ	PROPN
ejpam-6340	45	35	,	,	PUNCT
ejpam-6340	45	36	µ	µ	NOUN
ejpam-6340	45	37	)	)	PUNCT
ejpam-6340	45	38	)	)	PUNCT
ejpam-6340	46	1	=	=	SYM
ejpam-6340	46	2	∞∫	∞∫	NOUN
ejpam-6340	46	3	0	0	NUM
ejpam-6340	46	4	e	e	PROPN
ejpam-6340	46	5	−ς	−ς	PROPN
ejpam-6340	46	6	λγ	λγ	PROPN
ejpam-6340	46	7	γ	γ	PROPN
ejpam-6340	46	8	r(λ	r(λ	PROPN
ejpam-6340	46	9	,	,	PUNCT
ejpam-6340	46	10	µ)λγ−1dλ	µ)λγ−1dλ	PROPN
ejpam-6340	46	11	,	,	PUNCT
ejpam-6340	46	12	ς	ς	PROPN
ejpam-6340	46	13	∈	∈	PROPN
ejpam-6340	46	14	c	c	NOUN
ejpam-6340	46	15	2the	2the	NUM
ejpam-6340	46	16	conformable	conformable	ADJ
ejpam-6340	46	17	shehu	shehu	NOUN
ejpam-6340	46	18	transformation	transformation	NOUN
ejpam-6340	46	19	(	(	PUNCT
ejpam-6340	46	20	csh	csh	PROPN
ejpam-6340	46	21	)	)	PUNCT
ejpam-6340	46	22	of	of	ADP
ejpam-6340	46	23	r(λ	r(λ	PROPN
ejpam-6340	46	24	,	,	PUNCT
ejpam-6340	46	25	µ	µ	NOUN
ejpam-6340	46	26	)	)	PUNCT
ejpam-6340	46	27	,	,	PUNCT
ejpam-6340	46	28	denoted	denote	VERB
ejpam-6340	46	29	by	by	ADP
ejpam-6340	46	30	lγ	lγ	ADP
ejpam-6340	46	31	µ[r(λ	µ[r(λ	PROPN
ejpam-6340	46	32	,	,	PUNCT
ejpam-6340	46	33	µ	µ	NOUN
ejpam-6340	46	34	)	)	PUNCT
ejpam-6340	46	35	]	]	PUNCT
ejpam-6340	46	36	,	,	PUNCT
ejpam-6340	46	37	is	be	AUX
ejpam-6340	46	38	defined	define	VERB
ejpam-6340	46	39	as	as	ADP
ejpam-6340	46	40	:	:	PUNCT
ejpam-6340	46	41	b	b	X
ejpam-6340	46	42	(	(	PUNCT
ejpam-6340	46	43	υ	υ	NOUN
ejpam-6340	46	44	)	)	PUNCT
ejpam-6340	46	45	=	=	PUNCT
ejpam-6340	46	46	hγ	hγ	DET
ejpam-6340	46	47	µ(r(λ	µ(r(λ	NOUN
ejpam-6340	46	48	,	,	PUNCT
ejpam-6340	46	49	µ	µ	NOUN
ejpam-6340	46	50	)	)	PUNCT
ejpam-6340	46	51	)	)	PUNCT
ejpam-6340	47	1	=	=	SYM
ejpam-6340	47	2	∞∫	∞∫	NOUN
ejpam-6340	47	3	0	0	PUNCT
ejpam-6340	48	1	e	e	NOUN
ejpam-6340	48	2	−τ	−τ	NOUN
ejpam-6340	48	3	µγ	µγ	PROPN
ejpam-6340	48	4	υγ	υγ	PRON
ejpam-6340	48	5	r(λ	r(λ	PROPN
ejpam-6340	48	6	,	,	PUNCT
ejpam-6340	48	7	µ)µγ−1dµ	µ)µγ−1dµ	PROPN
ejpam-6340	48	8	,	,	PUNCT
ejpam-6340	48	9	υ	υ	PROPN
ejpam-6340	48	10	∈	∈	PROPN
ejpam-6340	48	11	c	c	NOUN
ejpam-6340	48	12	3the	3the	NUM
ejpam-6340	48	13	cl	cl	NOUN
ejpam-6340	48	14	-	-	PUNCT
ejpam-6340	48	15	sh	sh	NOUN
ejpam-6340	48	16	of	of	ADP
ejpam-6340	48	17	r(λ	r(λ	PROPN
ejpam-6340	48	18	,	,	PUNCT
ejpam-6340	48	19	µ	µ	NOUN
ejpam-6340	48	20	)	)	PUNCT
ejpam-6340	48	21	,	,	PUNCT
ejpam-6340	48	22	denoted	denote	VERB
ejpam-6340	48	23	by	by	ADP
ejpam-6340	48	24	lγ1	lγ1	PROPN
ejpam-6340	48	25	λ	λ	PROPN
ejpam-6340	48	26	hγ2	hγ2	NOUN
ejpam-6340	48	27	µ	µ	X
ejpam-6340	48	28	[	[	X
ejpam-6340	48	29	r(λ	r(λ	X
ejpam-6340	48	30	,	,	PUNCT
ejpam-6340	48	31	µ	µ	NOUN
ejpam-6340	48	32	)	)	PUNCT
ejpam-6340	48	33	]	]	PUNCT
ejpam-6340	48	34	,	,	PUNCT
ejpam-6340	48	35	is	be	AUX
ejpam-6340	48	36	defined	define	VERB
ejpam-6340	48	37	as	as	ADP
ejpam-6340	48	38	:	:	PUNCT
ejpam-6340	48	39	r(ς	r(ς	ADJ
ejpam-6340	48	40	,	,	PUNCT
ejpam-6340	48	41	υ	υ	NOUN
ejpam-6340	48	42	)	)	PUNCT
ejpam-6340	48	43	=	=	SYM
ejpam-6340	48	44	lγ1	lγ1	PROPN
ejpam-6340	48	45	λ	λ	X
ejpam-6340	48	46	hγ2	hγ2	NOUN
ejpam-6340	48	47	µ	µ	X
ejpam-6340	48	48	[	[	X
ejpam-6340	48	49	r(λ	r(λ	X
ejpam-6340	48	50	,	,	PUNCT
ejpam-6340	48	51	µ	µ	NOUN
ejpam-6340	48	52	)	)	PUNCT
ejpam-6340	48	53	]	]	PUNCT
ejpam-6340	49	1	=	=	PUNCT
ejpam-6340	49	2	∫	∫	PROPN
ejpam-6340	50	1	∞	∞	PROPN
ejpam-6340	50	2	0	0	NUM
ejpam-6340	50	3	∫	∫	PROPN
ejpam-6340	50	4	∞	∞	NUM
ejpam-6340	50	5	0	0	PUNCT
ejpam-6340	51	1	e	e	X
ejpam-6340	51	2	−	−	PROPN
ejpam-6340	51	3	(	(	PUNCT
ejpam-6340	51	4	ς	ς	PROPN
ejpam-6340	51	5	λγ1	λγ1	PROPN
ejpam-6340	51	6	γ1	γ1	PROPN
ejpam-6340	51	7	+	+	NOUN
ejpam-6340	51	8	τ	τ	PROPN
ejpam-6340	51	9	µγ2	µγ2	NOUN
ejpam-6340	51	10	υγ2	υγ2	NOUN
ejpam-6340	51	11	)	)	PUNCT
ejpam-6340	51	12	r(λ	r(λ	PROPN
ejpam-6340	51	13	,	,	PUNCT
ejpam-6340	51	14	µ)λγ1−1µγ2−1dλdµ.	µ)λγ1−1µγ2−1dλdµ.	X
ejpam-6340	51	15	theorem	theorem	NOUN
ejpam-6340	51	16	2	2	NUM
ejpam-6340	51	17	.	.	X
ejpam-6340	51	18	assume	assume	VERB
ejpam-6340	51	19	that	that	SCONJ
ejpam-6340	51	20	r	r	NOUN
ejpam-6340	51	21	:	:	PUNCT
ejpam-6340	52	1	[	[	X
ejpam-6340	52	2	0,∞)×[0,∞)→	0,∞)×[0,∞)→	X
ejpam-6340	52	3	r	r	NOUN
ejpam-6340	52	4	such	such	ADJ
ejpam-6340	52	5	that	that	DET
ejpam-6340	52	6	r(ς	r(ς	NOUN
ejpam-6340	52	7	,	,	PUNCT
ejpam-6340	52	8	υ	υ	NOUN
ejpam-6340	52	9	)	)	PUNCT
ejpam-6340	52	10	=	=	SYM
ejpam-6340	52	11	lγ1	lγ1	PROPN
ejpam-6340	52	12	λ	λ	X
ejpam-6340	52	13	hγ2	hγ2	X
ejpam-6340	52	14	µ	µ	X
ejpam-6340	52	15	[	[	X
ejpam-6340	52	16	r(λ	r(λ	X
ejpam-6340	52	17	γ1	γ1	PROPN
ejpam-6340	52	18	γ1	γ1	PROPN
ejpam-6340	52	19	,	,	PUNCT
ejpam-6340	52	20	µ	µ	DET
ejpam-6340	52	21	γ2	γ2	ADJ
ejpam-6340	52	22	γ2	γ2	PROPN
ejpam-6340	52	23	)	)	PUNCT
ejpam-6340	52	24	]	]	PUNCT
ejpam-6340	53	1	exist	exist	VERB
ejpam-6340	53	2	,	,	PUNCT
ejpam-6340	53	3	then	then	ADV
ejpam-6340	53	4	lγ1	lγ1	PROPN
ejpam-6340	53	5	λ	λ	PROPN
ejpam-6340	53	6	hγ2	hγ2	X
ejpam-6340	53	7	µ	µ	X
ejpam-6340	53	8	[	[	X
ejpam-6340	53	9	r	r	X
ejpam-6340	53	10	(	(	PUNCT
ejpam-6340	53	11	λγ1	λγ1	PROPN
ejpam-6340	53	12	γ1	γ1	PROPN
ejpam-6340	53	13	,	,	PUNCT
ejpam-6340	53	14	µγ2	µγ2	VERB
ejpam-6340	53	15	γ2	γ2	NOUN
ejpam-6340	53	16	)	)	PUNCT
ejpam-6340	53	17	]	]	PUNCT
ejpam-6340	54	1	=	=	PUNCT
ejpam-6340	54	2	lλhµ[r(λ	lλhµ[r(λ	NUM
ejpam-6340	54	3	,	,	PUNCT
ejpam-6340	54	4	µ	µ	NOUN
ejpam-6340	54	5	)	)	PUNCT
ejpam-6340	54	6	]	]	PUNCT
ejpam-6340	54	7	,	,	PUNCT
ejpam-6340	54	8	where	where	SCONJ
ejpam-6340	54	9	lλhµ[r(λ	lλhµ[r(λ	NUM
ejpam-6340	54	10	,	,	PUNCT
ejpam-6340	54	11	µ	µ	NOUN
ejpam-6340	54	12	)	)	PUNCT
ejpam-6340	54	13	]	]	PUNCT
ejpam-6340	55	1	=	=	PUNCT
ejpam-6340	55	2	∫	∫	PROPN
ejpam-6340	56	1	∞	∞	PROPN
ejpam-6340	56	2	0	0	NUM
ejpam-6340	56	3	∫	∫	PROPN
ejpam-6340	56	4	∞	∞	PROPN
ejpam-6340	56	5	0	0	NUM
ejpam-6340	56	6	e−(ςλ+	e−(ςλ+	NOUN
ejpam-6340	56	7	τµ	τµ	ADP
ejpam-6340	56	8	υ	υ	NOUN
ejpam-6340	56	9	)	)	PUNCT
ejpam-6340	56	10	r(λ	r(λ	PROPN
ejpam-6340	56	11	,	,	PUNCT
ejpam-6340	56	12	µ	µ	NOUN
ejpam-6340	56	13	)	)	PUNCT
ejpam-6340	56	14	dλ	dλ	NOUN
ejpam-6340	56	15	dµ.	dµ.	PROPN
ejpam-6340	56	16	proof	proof	NOUN
ejpam-6340	56	17	.	.	PUNCT
ejpam-6340	57	1	lγ1	lγ1	PROPN
ejpam-6340	57	2	λ	λ	PROPN
ejpam-6340	57	3	hγ2	hγ2	NOUN
ejpam-6340	57	4	µ	µ	X
ejpam-6340	57	5	[	[	X
ejpam-6340	57	6	r	r	X
ejpam-6340	57	7	(	(	PUNCT
ejpam-6340	57	8	λγ1	λγ1	PROPN
ejpam-6340	57	9	γ1	γ1	PROPN
ejpam-6340	57	10	,	,	PUNCT
ejpam-6340	57	11	µγ2	µγ2	VERB
ejpam-6340	57	12	γ2	γ2	NOUN
ejpam-6340	57	13	)	)	PUNCT
ejpam-6340	57	14	]	]	PUNCT
ejpam-6340	58	1	=	=	PUNCT
ejpam-6340	58	2	∫	∫	PROPN
ejpam-6340	59	1	∞	∞	PROPN
ejpam-6340	59	2	0	0	NUM
ejpam-6340	59	3	∫	∫	PROPN
ejpam-6340	59	4	∞	∞	NUM
ejpam-6340	59	5	0	0	PUNCT
ejpam-6340	60	1	e	e	X
ejpam-6340	60	2	−	−	PROPN
ejpam-6340	60	3	(	(	PUNCT
ejpam-6340	60	4	ς	ς	PROPN
ejpam-6340	60	5	λγ1	λγ1	PROPN
ejpam-6340	60	6	γ1	γ1	PROPN
ejpam-6340	60	7	+	+	NOUN
ejpam-6340	60	8	τ	τ	PROPN
ejpam-6340	60	9	µγ2	µγ2	NOUN
ejpam-6340	60	10	υγ2	υγ2	NOUN
ejpam-6340	60	11	)	)	PUNCT
ejpam-6340	61	1	r	r	NOUN
ejpam-6340	61	2	(	(	PUNCT
ejpam-6340	61	3	λγ1	λγ1	PROPN
ejpam-6340	61	4	γ1	γ1	PROPN
ejpam-6340	61	5	,	,	PUNCT
ejpam-6340	61	6	µγ2	µγ2	VERB
ejpam-6340	61	7	γ2	γ2	NOUN
ejpam-6340	61	8	)	)	PUNCT
ejpam-6340	61	9	λγ1−1µγ2−1dλdµ	λγ1−1µγ2−1dλdµ	X
ejpam-6340	61	10	(	(	PUNCT
ejpam-6340	61	11	1	1	NUM
ejpam-6340	61	12	)	)	PUNCT
ejpam-6340	61	13	substitute	substitute	NOUN
ejpam-6340	61	14	z	z	NOUN
ejpam-6340	61	15	=	=	SYM
ejpam-6340	61	16	λγ1	λγ1	PROPN
ejpam-6340	61	17	γ1	γ1	NOUN
ejpam-6340	61	18	and	and	CCONJ
ejpam-6340	61	19	w	w	NOUN
ejpam-6340	61	20	=	=	NOUN
ejpam-6340	61	21	µγ2	µγ2	NOUN
ejpam-6340	61	22	γ2	γ2	NOUN
ejpam-6340	61	23	in	in	ADP
ejpam-6340	61	24	equation	equation	NOUN
ejpam-6340	61	25	1	1	NUM
ejpam-6340	61	26	,	,	PUNCT
ejpam-6340	61	27	we	we	PRON
ejpam-6340	61	28	have	have	VERB
ejpam-6340	61	29	lγ1	lγ1	VERB
ejpam-6340	61	30	λ	λ	PROPN
ejpam-6340	61	31	hγ2	hγ2	NOUN
ejpam-6340	61	32	µ	µ	X
ejpam-6340	61	33	[	[	X
ejpam-6340	61	34	r	r	X
ejpam-6340	61	35	(	(	PUNCT
ejpam-6340	61	36	λγ1	λγ1	PROPN
ejpam-6340	61	37	γ1	γ1	PROPN
ejpam-6340	61	38	,	,	PUNCT
ejpam-6340	61	39	µγ2	µγ2	VERB
ejpam-6340	61	40	γ2	γ2	NOUN
ejpam-6340	61	41	)	)	PUNCT
ejpam-6340	61	42	]	]	PUNCT
ejpam-6340	62	1	=	=	PUNCT
ejpam-6340	62	2	∫	∫	PROPN
ejpam-6340	63	1	∞	∞	PROPN
ejpam-6340	63	2	0	0	NUM
ejpam-6340	63	3	∫	∫	PROPN
ejpam-6340	63	4	∞	∞	PROPN
ejpam-6340	63	5	0	0	PROPN
ejpam-6340	64	1	e−(ςz+	e−(ςz+	NUM
ejpam-6340	64	2	τw	τw	NOUN
ejpam-6340	64	3	υ	υ	PROPN
ejpam-6340	64	4	)	)	PUNCT
ejpam-6340	64	5	r(z	r(z	NOUN
ejpam-6340	64	6	,	,	PUNCT
ejpam-6340	64	7	w)dzdw	w)dzdw	NOUN
ejpam-6340	64	8	=	=	SYM
ejpam-6340	64	9	∫	∫	PROPN
ejpam-6340	64	10	∞	∞	NUM
ejpam-6340	64	11	0	0	NUM
ejpam-6340	64	12	∫	∫	PROPN
ejpam-6340	64	13	∞	∞	PROPN
ejpam-6340	64	14	0	0	NUM
ejpam-6340	65	1	e−(ςλ+	e−(ςλ+	NOUN
ejpam-6340	65	2	τµ	τµ	ADP
ejpam-6340	65	3	υ	υ	NOUN
ejpam-6340	65	4	)	)	PUNCT
ejpam-6340	65	5	r(λ	r(λ	PROPN
ejpam-6340	65	6	,	,	PUNCT
ejpam-6340	65	7	µ	µ	NOUN
ejpam-6340	65	8	)	)	PUNCT
ejpam-6340	65	9	dλ	dλ	NOUN
ejpam-6340	65	10	dµ	dµ	NOUN
ejpam-6340	66	1	=	=	PUNCT
ejpam-6340	67	1	lλhµ[r(λ	lλhµ[r(λ	NUM
ejpam-6340	67	2	,	,	PUNCT
ejpam-6340	67	3	µ	µ	NOUN
ejpam-6340	67	4	)	)	PUNCT
ejpam-6340	67	5	]	]	PUNCT
ejpam-6340	67	6	lemma	lemma	PROPN
ejpam-6340	67	7	1	1	NUM
ejpam-6340	67	8	.	.	PUNCT
ejpam-6340	67	9	lγ1	lγ1	PROPN
ejpam-6340	68	1	λ	λ	PROPN
ejpam-6340	68	2	hγ2	hγ2	PROPN
ejpam-6340	68	3	µ	µ	X
ejpam-6340	68	4	(	(	PUNCT
ejpam-6340	68	5	r(λ	r(λ	PROPN
ejpam-6340	68	6	,	,	PUNCT
ejpam-6340	68	7	µ	µ	NOUN
ejpam-6340	68	8	)	)	PUNCT
ejpam-6340	68	9	)	)	PUNCT
ejpam-6340	68	10	is	be	AUX
ejpam-6340	68	11	a	a	DET
ejpam-6340	68	12	linear	linear	ADJ
ejpam-6340	68	13	transformation	transformation	NOUN
ejpam-6340	68	14	.	.	PUNCT
ejpam-6340	69	1	m.	m.	NOUN
ejpam-6340	69	2	al	al	PROPN
ejpam-6340	69	3	-	-	PUNCT
ejpam-6340	69	4	momani	momani	PROPN
ejpam-6340	69	5	,	,	PUNCT
ejpam-6340	69	6	b.	b.	PROPN
ejpam-6340	69	7	abughazaleh	abughazaleh	PROPN
ejpam-6340	69	8	/	/	SYM
ejpam-6340	69	9	eur	eur	PROPN
ejpam-6340	69	10	.	.	PUNCT
ejpam-6340	70	1	j.	j.	PROPN
ejpam-6340	70	2	pure	pure	PROPN
ejpam-6340	70	3	appl	appl	PROPN
ejpam-6340	70	4	.	.	PROPN
ejpam-6340	70	5	math	math	PROPN
ejpam-6340	70	6	,	,	PUNCT
ejpam-6340	70	7	18	18	NUM
ejpam-6340	70	8	(	(	PUNCT
ejpam-6340	70	9	4	4	NUM
ejpam-6340	70	10	)	)	PUNCT
ejpam-6340	70	11	(	(	PUNCT
ejpam-6340	70	12	2025	2025	NUM
ejpam-6340	70	13	)	)	PUNCT
ejpam-6340	70	14	,	,	PUNCT
ejpam-6340	70	15	6340	6340	NUM
ejpam-6340	70	16	4	4	NUM
ejpam-6340	70	17	of	of	ADP
ejpam-6340	70	18	12	12	NUM
ejpam-6340	70	19	proof	proof	NOUN
ejpam-6340	70	20	.	.	PUNCT
ejpam-6340	71	1	for	for	ADP
ejpam-6340	71	2	nonzero	nonzero	PROPN
ejpam-6340	71	3	constants	constant	NOUN
ejpam-6340	71	4	α	α	PROPN
ejpam-6340	71	5	and	and	CCONJ
ejpam-6340	71	6	β	β	X
ejpam-6340	71	7	,	,	PUNCT
ejpam-6340	71	8	we	we	PRON
ejpam-6340	71	9	have	have	VERB
ejpam-6340	71	10	lγ1	lγ1	PROPN
ejpam-6340	71	11	λ	λ	PROPN
ejpam-6340	71	12	w	w	PROPN
ejpam-6340	71	13	γ2	γ2	PROPN
ejpam-6340	71	14	µ	µ	X
ejpam-6340	71	15	(	(	PUNCT
ejpam-6340	71	16	αr1(λ	αr1(λ	PROPN
ejpam-6340	71	17	,	,	PUNCT
ejpam-6340	71	18	µ)+βr2(λ	µ)+βr2(λ	PROPN
ejpam-6340	71	19	,	,	PUNCT
ejpam-6340	71	20	µ	µ	NOUN
ejpam-6340	71	21	)	)	PUNCT
ejpam-6340	71	22	)	)	PUNCT
ejpam-6340	72	1	=	=	SYM
ejpam-6340	72	2	∞∫	∞∫	NOUN
ejpam-6340	72	3	0	0	NUM
ejpam-6340	73	1	∞∫	∞∫	NOUN
ejpam-6340	73	2	0	0	PUNCT
ejpam-6340	74	1	e	e	X
ejpam-6340	74	2	−	−	PROPN
ejpam-6340	74	3	(	(	PUNCT
ejpam-6340	74	4	ς	ς	PROPN
ejpam-6340	74	5	λγ1	λγ1	PROPN
ejpam-6340	74	6	γ1	γ1	PROPN
ejpam-6340	74	7	+	+	NOUN
ejpam-6340	74	8	τ	τ	PROPN
ejpam-6340	74	9	µγ2	µγ2	NOUN
ejpam-6340	74	10	υγ2	υγ2	NOUN
ejpam-6340	74	11	)	)	PUNCT
ejpam-6340	74	12	(	(	PUNCT
ejpam-6340	74	13	αr1(λ	αr1(λ	X
ejpam-6340	74	14	,	,	PUNCT
ejpam-6340	74	15	µ	µ	NOUN
ejpam-6340	74	16	)	)	PUNCT
ejpam-6340	74	17	+	+	CCONJ
ejpam-6340	74	18	βr2(λ	βr2(λ	CCONJ
ejpam-6340	74	19	,	,	PUNCT
ejpam-6340	74	20	µ))λ	µ))λ	PROPN
ejpam-6340	74	21	γ1−1µγ2−1dλdµ	γ1−1µγ2−1dλdµ	PROPN
ejpam-6340	74	22	,	,	PUNCT
ejpam-6340	74	23	=	=	PROPN
ejpam-6340	74	24	α	α	PROPN
ejpam-6340	74	25	∞∫	∞∫	PROPN
ejpam-6340	74	26	0	0	NUM
ejpam-6340	75	1	∞∫	∞∫	NOUN
ejpam-6340	75	2	0	0	PUNCT
ejpam-6340	76	1	e	e	X
ejpam-6340	76	2	−	−	PROPN
ejpam-6340	76	3	(	(	PUNCT
ejpam-6340	76	4	ς	ς	PROPN
ejpam-6340	76	5	λγ1	λγ1	PROPN
ejpam-6340	76	6	γ1	γ1	PROPN
ejpam-6340	76	7	+	+	NOUN
ejpam-6340	76	8	τ	τ	PROPN
ejpam-6340	76	9	µγ2	µγ2	NOUN
ejpam-6340	76	10	υγ2	υγ2	NOUN
ejpam-6340	76	11	)	)	PUNCT
ejpam-6340	77	1	r1(λ	r1(λ	PROPN
ejpam-6340	77	2	,	,	PUNCT
ejpam-6340	77	3	µ)λ	µ)λ	NOUN
ejpam-6340	77	4	γ1−1µγ2−1dλdµ+	γ1−1µγ2−1dλdµ+	NOUN
ejpam-6340	77	5	β	β	X
ejpam-6340	77	6	∞∫	∞∫	PROPN
ejpam-6340	77	7	0	0	NUM
ejpam-6340	78	1	∞∫	∞∫	NOUN
ejpam-6340	78	2	0	0	PUNCT
ejpam-6340	79	1	e	e	X
ejpam-6340	79	2	−	−	PROPN
ejpam-6340	79	3	(	(	PUNCT
ejpam-6340	79	4	ς	ς	PROPN
ejpam-6340	79	5	λγ1	λγ1	PROPN
ejpam-6340	79	6	γ1	γ1	PROPN
ejpam-6340	79	7	+	+	NOUN
ejpam-6340	79	8	τ	τ	PROPN
ejpam-6340	79	9	µγ2	µγ2	NOUN
ejpam-6340	79	10	υγ2	υγ2	NOUN
ejpam-6340	79	11	)	)	PUNCT
ejpam-6340	80	1	r2(λ	r2(λ	NUM
ejpam-6340	80	2	,	,	PUNCT
ejpam-6340	80	3	µ)λ	µ)λ	NOUN
ejpam-6340	80	4	γ1−1µγ2−1dλdµ	γ1−1µγ2−1dλdµ	NOUN
ejpam-6340	80	5	=	=	SYM
ejpam-6340	80	6	αlγ1	αlγ1	PROPN
ejpam-6340	80	7	λ	λ	PROPN
ejpam-6340	80	8	w	w	PROPN
ejpam-6340	80	9	γ2	γ2	PROPN
ejpam-6340	80	10	µ	µ	X
ejpam-6340	80	11	(	(	PUNCT
ejpam-6340	80	12	r1(λ	r1(λ	PROPN
ejpam-6340	80	13	,	,	PUNCT
ejpam-6340	80	14	µ	µ	NOUN
ejpam-6340	80	15	)	)	PUNCT
ejpam-6340	80	16	)	)	PUNCT
ejpam-6340	81	1	+	+	CCONJ
ejpam-6340	81	2	βlγ1	βlγ1	PROPN
ejpam-6340	81	3	λ	λ	PROPN
ejpam-6340	81	4	w	w	PROPN
ejpam-6340	81	5	γ2	γ2	PROPN
ejpam-6340	81	6	µ	µ	X
ejpam-6340	81	7	(	(	PUNCT
ejpam-6340	81	8	r2(λ	r2(λ	PROPN
ejpam-6340	81	9	,	,	PUNCT
ejpam-6340	81	10	µ	µ	NOUN
ejpam-6340	81	11	)	)	PUNCT
ejpam-6340	81	12	)	)	PUNCT
ejpam-6340	81	13	.	.	PUNCT
ejpam-6340	82	1	if	if	SCONJ
ejpam-6340	82	2	r(λ	r(λ	PROPN
ejpam-6340	82	3	,	,	PUNCT
ejpam-6340	82	4	µ	µ	NOUN
ejpam-6340	82	5	)	)	PUNCT
ejpam-6340	82	6	can	can	AUX
ejpam-6340	82	7	be	be	AUX
ejpam-6340	82	8	written	write	VERB
ejpam-6340	82	9	as	as	ADP
ejpam-6340	82	10	r(λ	r(λ	PROPN
ejpam-6340	82	11	,	,	PUNCT
ejpam-6340	82	12	µ	µ	NOUN
ejpam-6340	82	13	)	)	PUNCT
ejpam-6340	82	14	=	=	SYM
ejpam-6340	82	15	p(λ)q(µ	p(λ)q(µ	NOUN
ejpam-6340	82	16	)	)	PUNCT
ejpam-6340	82	17	for	for	ADP
ejpam-6340	82	18	some	some	DET
ejpam-6340	82	19	continuous	continuous	ADJ
ejpam-6340	82	20	functions	function	NOUN
ejpam-6340	82	21	p	p	NOUN
ejpam-6340	82	22	and	and	CCONJ
ejpam-6340	82	23	q	q	NOUN
ejpam-6340	82	24	,	,	PUNCT
ejpam-6340	82	25	then	then	ADV
ejpam-6340	82	26	lγ1	lγ1	PROPN
ejpam-6340	82	27	λ	λ	PROPN
ejpam-6340	82	28	hγ2	hγ2	PROPN
ejpam-6340	82	29	µ	µ	X
ejpam-6340	82	30	(	(	PUNCT
ejpam-6340	82	31	r(λ	r(λ	PROPN
ejpam-6340	82	32	,	,	PUNCT
ejpam-6340	82	33	µ	µ	NOUN
ejpam-6340	82	34	)	)	PUNCT
ejpam-6340	82	35	)	)	PUNCT
ejpam-6340	83	1	=	=	SYM
ejpam-6340	83	2	lγ1	lγ1	PROPN
ejpam-6340	83	3	λ	λ	X
ejpam-6340	83	4	(	(	PUNCT
ejpam-6340	83	5	p(λ))hγ2	p(λ))hγ2	X
ejpam-6340	83	6	µ	µ	X
ejpam-6340	83	7	(	(	PUNCT
ejpam-6340	83	8	q(µ	q(µ	NOUN
ejpam-6340	83	9	)	)	PUNCT
ejpam-6340	83	10	)	)	PUNCT
ejpam-6340	83	11	.	.	PUNCT
ejpam-6340	84	1	in	in	ADP
ejpam-6340	84	2	fact	fact	NOUN
ejpam-6340	84	3	lγ1	lγ1	PROPN
ejpam-6340	84	4	λ	λ	PROPN
ejpam-6340	84	5	hγ2	hγ2	PROPN
ejpam-6340	84	6	µ	µ	X
ejpam-6340	84	7	(	(	PUNCT
ejpam-6340	84	8	r(λ	r(λ	PROPN
ejpam-6340	84	9	,	,	PUNCT
ejpam-6340	84	10	µ	µ	NOUN
ejpam-6340	84	11	)	)	PUNCT
ejpam-6340	84	12	)	)	PUNCT
ejpam-6340	85	1	=	=	SYM
ejpam-6340	85	2	lγ1	lγ1	PROPN
ejpam-6340	85	3	λ	λ	PROPN
ejpam-6340	85	4	hγ2	hγ2	PROPN
ejpam-6340	85	5	µ	µ	X
ejpam-6340	85	6	(	(	PUNCT
ejpam-6340	85	7	p(λ)q(µ	p(λ)q(µ	NOUN
ejpam-6340	85	8	)	)	PUNCT
ejpam-6340	85	9	)	)	PUNCT
ejpam-6340	86	1	=	=	SYM
ejpam-6340	86	2	∞∫	∞∫	NOUN
ejpam-6340	86	3	0	0	NUM
ejpam-6340	87	1	∞∫	∞∫	NOUN
ejpam-6340	87	2	0	0	PUNCT
ejpam-6340	88	1	e	e	X
ejpam-6340	88	2	−	−	PROPN
ejpam-6340	88	3	(	(	PUNCT
ejpam-6340	88	4	ς	ς	PROPN
ejpam-6340	88	5	λγ1	λγ1	PROPN
ejpam-6340	88	6	γ1	γ1	PROPN
ejpam-6340	88	7	+	+	NOUN
ejpam-6340	88	8	τ	τ	PROPN
ejpam-6340	88	9	µγ2	µγ2	VERB
ejpam-6340	88	10	υγ2	υγ2	NOUN
ejpam-6340	88	11	)	)	PUNCT
ejpam-6340	88	12	p(λ)q(µ)λγ1−1µγ2−1dλdµ	p(λ)q(µ)λγ1−1µγ2−1dλdµ	NOUN
ejpam-6340	88	13	=	=	PUNCT
ejpam-6340	88	14	∞∫	∞∫	NOUN
ejpam-6340	88	15	0	0	PUNCT
ejpam-6340	88	16	e	e	NOUN
ejpam-6340	88	17	−ς	−ς	PROPN
ejpam-6340	88	18	λγ1	λγ1	PROPN
ejpam-6340	88	19	γ1	γ1	PROPN
ejpam-6340	88	20	p(λ)λγ1−1dλ	p(λ)λγ1−1dλ	PROPN
ejpam-6340	88	21	∞∫	∞∫	PRON
ejpam-6340	88	22	0	0	PUNCT
ejpam-6340	88	23	e	e	NOUN
ejpam-6340	88	24	−τ	−τ	NOUN
ejpam-6340	88	25	µγ2	µγ2	VERB
ejpam-6340	88	26	υγ2	υγ2	INTJ
ejpam-6340	88	27	q(µ)µγ2−1dµ	q(µ)µγ2−1dµ	NOUN
ejpam-6340	88	28			PROPN
ejpam-6340	88	29	=	=	SYM
ejpam-6340	88	30	lγ1	lγ1	PROPN
ejpam-6340	88	31	λ	λ	PROPN
ejpam-6340	88	32	(	(	PUNCT
ejpam-6340	88	33	p(λ))hγ2	p(λ))hγ2	X
ejpam-6340	88	34	µ	µ	X
ejpam-6340	88	35	(	(	PUNCT
ejpam-6340	88	36	q(µ	q(µ	NOUN
ejpam-6340	88	37	)	)	PUNCT
ejpam-6340	88	38	)	)	PUNCT
ejpam-6340	88	39	.	.	PUNCT
ejpam-6340	89	1	definition	definition	NOUN
ejpam-6340	89	2	4	4	NUM
ejpam-6340	89	3	.	.	PUNCT
ejpam-6340	90	1	let	let	VERB
ejpam-6340	90	2	0	0	NUM
ejpam-6340	90	3	<	<	X
ejpam-6340	90	4	γ1	γ1	PROPN
ejpam-6340	90	5	,	,	PUNCT
ejpam-6340	90	6	γ2	γ2	PROPN
ejpam-6340	90	7	≤	≤	ADJ
ejpam-6340	90	8	1	1	NUM
ejpam-6340	90	9	.	.	PUNCT
ejpam-6340	91	1	then	then	ADV
ejpam-6340	91	2	a	a	DET
ejpam-6340	91	3	function	function	NOUN
ejpam-6340	91	4	r(λ	r(λ	NOUN
ejpam-6340	91	5	,	,	PUNCT
ejpam-6340	91	6	µ	µ	NOUN
ejpam-6340	91	7	)	)	PUNCT
ejpam-6340	91	8	is	be	AUX
ejpam-6340	91	9	said	say	VERB
ejpam-6340	91	10	to	to	PART
ejpam-6340	91	11	be	be	AUX
ejpam-6340	91	12	of	of	ADP
ejpam-6340	91	13	conformable	conformable	ADJ
ejpam-6340	91	14	exponential	exponential	ADJ
ejpam-6340	91	15	orders	order	NOUN
ejpam-6340	91	16	α	α	NOUN
ejpam-6340	91	17	and	and	CCONJ
ejpam-6340	91	18	β	β	X
ejpam-6340	91	19	on	on	ADP
ejpam-6340	91	20	0	0	NUM
ejpam-6340	91	21	≤	≤	NUM
ejpam-6340	91	22	λ	λ	X
ejpam-6340	91	23	<	<	X
ejpam-6340	91	24	∞	∞	PROPN
ejpam-6340	91	25	and	and	CCONJ
ejpam-6340	91	26	0	0	NUM
ejpam-6340	91	27	≤	≤	NOUN
ejpam-6340	91	28	µ	µ	X
ejpam-6340	91	29	<	<	X
ejpam-6340	91	30	∞.	∞.	PROPN
ejpam-6340	91	31	if	if	SCONJ
ejpam-6340	91	32	there	there	PRON
ejpam-6340	91	33	exist	exist	VERB
ejpam-6340	91	34	k	k	PROPN
ejpam-6340	91	35	,	,	PUNCT
ejpam-6340	91	36	n	n	CCONJ
ejpam-6340	91	37	,	,	PUNCT
ejpam-6340	91	38	m	m	VERB
ejpam-6340	91	39	>	>	X
ejpam-6340	91	40	0	0	NUM
ejpam-6340	92	1	such	such	ADJ
ejpam-6340	92	2	that	that	SCONJ
ejpam-6340	92	3	|r(λ	|r(λ	PROPN
ejpam-6340	92	4	,	,	PUNCT
ejpam-6340	92	5	µ)|	µ)|	PROPN
ejpam-6340	92	6	≤	≤	NUM
ejpam-6340	92	7	ke	ke	NOUN
ejpam-6340	92	8	αλγ1	αλγ1	PROPN
ejpam-6340	92	9	γ1	γ1	NOUN
ejpam-6340	92	10	+	+	ADP
ejpam-6340	92	11	β	β	X
ejpam-6340	92	12	µγ2	µγ2	NOUN
ejpam-6340	92	13	γ2	γ2	NOUN
ejpam-6340	92	14	,	,	PUNCT
ejpam-6340	92	15	for	for	ADP
ejpam-6340	92	16	all	all	DET
ejpam-6340	92	17	λγ1	λγ1	PROPN
ejpam-6340	92	18	γ1	γ1	PROPN
ejpam-6340	92	19	>	>	X
ejpam-6340	92	20	n	n	PROPN
ejpam-6340	92	21	,	,	PUNCT
ejpam-6340	92	22	µγ2	µγ2	VERB
ejpam-6340	92	23	γ2	γ2	NOUN
ejpam-6340	92	24	>	>	X
ejpam-6340	92	25	m.	m.	NOUN
ejpam-6340	92	26	theorem	theorem	VERB
ejpam-6340	92	27	3	3	X
ejpam-6340	92	28	.	.	PUNCT
ejpam-6340	93	1	let	let	VERB
ejpam-6340	93	2	0	0	NUM
ejpam-6340	93	3	<	<	X
ejpam-6340	93	4	γ1	γ1	PROPN
ejpam-6340	93	5	,	,	PUNCT
ejpam-6340	93	6	γ2	γ2	ADJ
ejpam-6340	93	7	≤	≤	ADJ
ejpam-6340	93	8	1	1	NUM
ejpam-6340	93	9	and	and	CCONJ
ejpam-6340	93	10	r(λ	r(λ	PROPN
ejpam-6340	93	11	,	,	PUNCT
ejpam-6340	93	12	µ	µ	NOUN
ejpam-6340	93	13	)	)	PUNCT
ejpam-6340	93	14	be	be	AUX
ejpam-6340	93	15	a	a	DET
ejpam-6340	93	16	continuous	continuous	ADJ
ejpam-6340	93	17	function	function	NOUN
ejpam-6340	93	18	on	on	ADP
ejpam-6340	93	19	the	the	DET
ejpam-6340	93	20	region	region	NOUN
ejpam-6340	94	1	[	[	X
ejpam-6340	94	2	0,∞)×[0,∞	0,∞)×[0,∞	NOUN
ejpam-6340	94	3	)	)	PUNCT
ejpam-6340	94	4	of	of	ADP
ejpam-6340	94	5	conformable	conformable	ADJ
ejpam-6340	94	6	exponential	exponential	ADJ
ejpam-6340	94	7	orders	order	NOUN
ejpam-6340	94	8	α	α	NOUN
ejpam-6340	94	9	and	and	CCONJ
ejpam-6340	94	10	β	β	X
ejpam-6340	94	11	.	.	PUNCT
ejpam-6340	95	1	then	then	ADV
ejpam-6340	95	2	r(ς	r(ς	PROPN
ejpam-6340	95	3	,	,	PUNCT
ejpam-6340	95	4	υ	υ	NOUN
ejpam-6340	95	5	)	)	PUNCT
ejpam-6340	95	6	=	=	SYM
ejpam-6340	95	7	lγ1	lγ1	PROPN
ejpam-6340	95	8	λ	λ	X
ejpam-6340	95	9	hγ2	hγ2	NOUN
ejpam-6340	95	10	µ	µ	X
ejpam-6340	95	11	[	[	X
ejpam-6340	95	12	r(λ	r(λ	X
ejpam-6340	95	13	,	,	PUNCT
ejpam-6340	95	14	µ	µ	NOUN
ejpam-6340	95	15	)	)	PUNCT
ejpam-6340	95	16	]	]	PUNCT
ejpam-6340	95	17	exists	exist	VERB
ejpam-6340	95	18	for	for	ADP
ejpam-6340	95	19	ς	ς	PROPN
ejpam-6340	95	20	,	,	PUNCT
ejpam-6340	95	21	υ	υ	X
ejpam-6340	95	22	whenever	whenever	SCONJ
ejpam-6340	95	23	re	re	X
ejpam-6340	95	24	(	(	PUNCT
ejpam-6340	95	25	ς	ς	NOUN
ejpam-6340	95	26	)	)	PUNCT
ejpam-6340	95	27	>	>	X
ejpam-6340	96	1	α	α	PROPN
ejpam-6340	96	2	and	and	CCONJ
ejpam-6340	96	3	re	re	PRON
ejpam-6340	96	4	(	(	PUNCT
ejpam-6340	96	5	τ	τ	PROPN
ejpam-6340	96	6	υ	υ	PROPN
ejpam-6340	96	7	)	)	PUNCT
ejpam-6340	96	8	>	>	X
ejpam-6340	97	1	β	β	X
ejpam-6340	97	2	.	.	PUNCT
ejpam-6340	98	1	we	we	PRON
ejpam-6340	98	2	have	have	VERB
ejpam-6340	98	3	|r(ς	|r(ς	PROPN
ejpam-6340	98	4	,	,	PUNCT
ejpam-6340	98	5	υ)|	υ)|	PROPN
ejpam-6340	98	6	=	=	SYM
ejpam-6340	98	7	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6340	98	8	∞∫	∞∫	PROPN
ejpam-6340	98	9	0	0	NUM
ejpam-6340	99	1	∞∫	∞∫	NOUN
ejpam-6340	99	2	0	0	PUNCT
ejpam-6340	100	1	e	e	X
ejpam-6340	100	2	−	−	PROPN
ejpam-6340	100	3	(	(	PUNCT
ejpam-6340	100	4	ς	ς	PROPN
ejpam-6340	100	5	λγ1	λγ1	PROPN
ejpam-6340	100	6	γ1	γ1	PROPN
ejpam-6340	100	7	+	+	NOUN
ejpam-6340	100	8	τ	τ	PROPN
ejpam-6340	100	9	µγ2	µγ2	NOUN
ejpam-6340	100	10	υγ2	υγ2	NOUN
ejpam-6340	100	11	)	)	PUNCT
ejpam-6340	100	12	r(λ	r(λ	NOUN
ejpam-6340	100	13	,	,	PUNCT
ejpam-6340	100	14	µ)λγ1−1µγ2−1	µ)λγ1−1µγ2−1	ADJ
ejpam-6340	100	15	dλdµ	dλdµ	NOUN
ejpam-6340	100	16	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-6340	100	17	≤	≤	ADJ
ejpam-6340	100	18	∞∫	∞∫	PROPN
ejpam-6340	100	19	0	0	NUM
ejpam-6340	101	1	∞∫	∞∫	NOUN
ejpam-6340	101	2	0	0	PUNCT
ejpam-6340	102	1	e	e	X
ejpam-6340	102	2	−	−	PROPN
ejpam-6340	102	3	(	(	PUNCT
ejpam-6340	102	4	ς	ς	PROPN
ejpam-6340	102	5	λγ1	λγ1	PROPN
ejpam-6340	102	6	γ1	γ1	PROPN
ejpam-6340	102	7	+	+	NOUN
ejpam-6340	102	8	τ	τ	PROPN
ejpam-6340	102	9	µγ2	µγ2	NOUN
ejpam-6340	102	10	υγ2	υγ2	NOUN
ejpam-6340	102	11	)	)	PUNCT
ejpam-6340	102	12	|r(λ	|r(λ	PROPN
ejpam-6340	102	13	,	,	PUNCT
ejpam-6340	102	14	µ)|λγ1−1µγ2−1dλdµ	µ)|λγ1−1µγ2−1dλdµ	NOUN
ejpam-6340	102	15	≤	≤	ADJ
ejpam-6340	102	16	k	k	PROPN
ejpam-6340	102	17	∞∫	∞∫	PROPN
ejpam-6340	102	18	0	0	NUM
ejpam-6340	103	1	∞∫	∞∫	NOUN
ejpam-6340	103	2	0	0	PUNCT
ejpam-6340	104	1	e	e	X
ejpam-6340	104	2	−	−	PROPN
ejpam-6340	104	3	(	(	PUNCT
ejpam-6340	104	4	ς	ς	PROPN
ejpam-6340	104	5	λγ1	λγ1	PROPN
ejpam-6340	104	6	γ1	γ1	PROPN
ejpam-6340	104	7	+	+	NOUN
ejpam-6340	104	8	τ	τ	PROPN
ejpam-6340	104	9	µγ2	µγ2	NOUN
ejpam-6340	104	10	υγ2	υγ2	NOUN
ejpam-6340	104	11	)	)	PUNCT
ejpam-6340	105	1	e	e	X
ejpam-6340	105	2	αλγ1	αλγ1	NOUN
ejpam-6340	105	3	γ1	γ1	NOUN
ejpam-6340	105	4	+	+	NOUN
ejpam-6340	105	5	β	β	X
ejpam-6340	105	6	µγ2	µγ2	VERB
ejpam-6340	105	7	γ2	γ2	PROPN
ejpam-6340	105	8	λγ1−1µγ2−1dλdµ	λγ1−1µγ2−1dλdµ	PROPN
ejpam-6340	105	9	m.	m.	NOUN
ejpam-6340	105	10	al	al	PROPN
ejpam-6340	105	11	-	-	PUNCT
ejpam-6340	105	12	momani	momani	PROPN
ejpam-6340	105	13	,	,	PUNCT
ejpam-6340	105	14	b.	b.	PROPN
ejpam-6340	105	15	abughazaleh	abughazaleh	PROPN
ejpam-6340	105	16	/	/	SYM
ejpam-6340	105	17	eur	eur	PROPN
ejpam-6340	105	18	.	.	PUNCT
ejpam-6340	106	1	j.	j.	PROPN
ejpam-6340	106	2	pure	pure	PROPN
ejpam-6340	106	3	appl	appl	PROPN
ejpam-6340	106	4	.	.	PROPN
ejpam-6340	106	5	math	math	PROPN
ejpam-6340	106	6	,	,	PUNCT
ejpam-6340	106	7	18	18	NUM
ejpam-6340	106	8	(	(	PUNCT
ejpam-6340	106	9	4	4	NUM
ejpam-6340	106	10	)	)	PUNCT
ejpam-6340	106	11	(	(	PUNCT
ejpam-6340	106	12	2025	2025	NUM
ejpam-6340	106	13	)	)	PUNCT
ejpam-6340	106	14	,	,	PUNCT
ejpam-6340	106	15	6340	6340	NUM
ejpam-6340	106	16	5	5	NUM
ejpam-6340	106	17	of	of	ADP
ejpam-6340	106	18	12	12	NUM
ejpam-6340	106	19	=	=	SYM
ejpam-6340	106	20	k	k	X
ejpam-6340	106	21	∞∫	∞∫	NOUN
ejpam-6340	106	22	0	0	PUNCT
ejpam-6340	107	1	e	e	NOUN
ejpam-6340	107	2	−(ς−α)λ	−(ς−α)λ	NOUN
ejpam-6340	107	3	γ1	γ1	PROPN
ejpam-6340	107	4	γ1	γ1	PROPN
ejpam-6340	107	5	λγ1−1dλ	λγ1−1dλ	PROPN
ejpam-6340	107	6	∞∫	∞∫	PRON
ejpam-6340	107	7	0	0	NUM
ejpam-6340	107	8	e	e	X
ejpam-6340	107	9	−	−	PROPN
ejpam-6340	107	10	(	(	PUNCT
ejpam-6340	107	11	1	1	NUM
ejpam-6340	107	12	υ	υ	PRON
ejpam-6340	107	13	−β)µ	−β)µ	NOUN
ejpam-6340	107	14	γ2	γ2	PROPN
ejpam-6340	107	15	γ2	γ2	PROPN
ejpam-6340	107	16	µγ2−1dµ	µγ2−1dµ	X
ejpam-6340	107	17			PROPN
ejpam-6340	107	18	=	=	SYM
ejpam-6340	107	19	kυ	kυ	X
ejpam-6340	107	20	(	(	PUNCT
ejpam-6340	107	21	ς	ς	PROPN
ejpam-6340	107	22	−	−	PROPN
ejpam-6340	107	23	α	α	NOUN
ejpam-6340	107	24	)	)	PUNCT
ejpam-6340	107	25	(	(	PUNCT
ejpam-6340	107	26	τ	τ	PROPN
ejpam-6340	107	27	−	−	PROPN
ejpam-6340	107	28	βυ	βυ	CCONJ
ejpam-6340	107	29	)	)	PUNCT
ejpam-6340	107	30	,	,	PUNCT
ejpam-6340	107	31	where	where	SCONJ
ejpam-6340	107	32	re	re	X
ejpam-6340	107	33	(	(	PUNCT
ejpam-6340	107	34	ς	ς	NOUN
ejpam-6340	107	35	)	)	PUNCT
ejpam-6340	107	36	>	>	X
ejpam-6340	107	37	α	α	PROPN
ejpam-6340	107	38	and	and	CCONJ
ejpam-6340	107	39	re	re	PRON
ejpam-6340	107	40	(	(	PUNCT
ejpam-6340	107	41	τ	τ	PROPN
ejpam-6340	107	42	υ	υ	PROPN
ejpam-6340	107	43	)	)	PUNCT
ejpam-6340	107	44	>	>	X
ejpam-6340	108	1	β	β	X
ejpam-6340	108	2	.	.	PROPN
ejpam-6340	108	3	3.2	3.2	NUM
ejpam-6340	108	4	.	.	PUNCT
ejpam-6340	109	1	the	the	DET
ejpam-6340	109	2	conformable	conformable	ADJ
ejpam-6340	109	3	double	double	ADJ
ejpam-6340	109	4	laplace	laplace	NOUN
ejpam-6340	109	5	-	-	PUNCT
ejpam-6340	109	6	shehu	shehu	NOUN
ejpam-6340	109	7	transform	transform	NOUN
ejpam-6340	109	8	for	for	ADP
ejpam-6340	109	9	some	some	DET
ejpam-6340	109	10	basic	basic	ADJ
ejpam-6340	109	11	functions	function	NOUN
ejpam-6340	109	12	(	(	PUNCT
ejpam-6340	109	13	i	i	NOUN
ejpam-6340	109	14	)	)	PUNCT
ejpam-6340	109	15	lγ1	lγ1	PROPN
ejpam-6340	110	1	λ	λ	PROPN
ejpam-6340	110	2	hγ2	hγ2	NOUN
ejpam-6340	110	3	µ	µ	X
ejpam-6340	110	4	[	[	X
ejpam-6340	110	5	c	c	X
ejpam-6340	110	6	]	]	X
ejpam-6340	110	7	=	=	SYM
ejpam-6340	110	8	lλhµ[c	lλhµ[c	NOUN
ejpam-6340	110	9	]	]	PUNCT
ejpam-6340	110	10	=	=	SYM
ejpam-6340	110	11	cυ	cυ	PROPN
ejpam-6340	110	12	ςτ	ςτ	NOUN
ejpam-6340	110	13	,	,	PUNCT
ejpam-6340	110	14	c	c	PROPN
ejpam-6340	110	15	∈	∈	PROPN
ejpam-6340	110	16	r	r	NOUN
ejpam-6340	110	17	,	,	PUNCT
ejpam-6340	110	18	(	(	PUNCT
ejpam-6340	110	19	ii	ii	NOUN
ejpam-6340	110	20	)	)	PUNCT
ejpam-6340	110	21	lγ1	lγ1	PROPN
ejpam-6340	110	22	λ	λ	PROPN
ejpam-6340	110	23	hγ2	hγ2	X
ejpam-6340	110	24	µ	µ	X
ejpam-6340	110	25	[	[	X
ejpam-6340	110	26	(	(	PUNCT
ejpam-6340	110	27	λγ1	λγ1	PROPN
ejpam-6340	110	28	γ1	γ1	PROPN
ejpam-6340	110	29	)	)	PUNCT
ejpam-6340	110	30	α(µγ2	α(µγ2	NOUN
ejpam-6340	110	31	γ2	γ2	NOUN
ejpam-6340	110	32	)	)	PUNCT
ejpam-6340	111	1	β	β	X
ejpam-6340	111	2	]	]	PUNCT
ejpam-6340	112	1	=	=	PUNCT
ejpam-6340	112	2	lλhµ[λ	lλhµ[λ	X
ejpam-6340	112	3	αµβ	αµβ	NOUN
ejpam-6340	112	4	]	]	PUNCT
ejpam-6340	112	5	=	=	PUNCT
ejpam-6340	113	1	υβ+1	υβ+1	X
ejpam-6340	113	2	ςα+1τβ+1	ςα+1τβ+1	ADJ
ejpam-6340	113	3	γ(α+	γ(α+	PRON
ejpam-6340	113	4	1)γ(β	1)γ(β	NUM
ejpam-6340	113	5	+	+	CCONJ
ejpam-6340	113	6	1	1	NUM
ejpam-6340	113	7	)	)	PUNCT
ejpam-6340	113	8	,	,	PUNCT
ejpam-6340	113	9	re(ς	re(ς	NUM
ejpam-6340	113	10	)	)	PUNCT
ejpam-6340	113	11	>	>	X
ejpam-6340	113	12	0	0	PUNCT
ejpam-6340	113	13	and	and	CCONJ
ejpam-6340	113	14	re(α	re(α	NOUN
ejpam-6340	113	15	)	)	PUNCT
ejpam-6340	113	16	>	>	X
ejpam-6340	114	1	−1	−1	NOUN
ejpam-6340	114	2	,	,	PUNCT
ejpam-6340	114	3	(	(	PUNCT
ejpam-6340	114	4	iii	iii	NOUN
ejpam-6340	114	5	)	)	PUNCT
ejpam-6340	114	6	lγ1	lγ1	PROPN
ejpam-6340	114	7	λ	λ	PROPN
ejpam-6340	114	8	hγ2	hγ2	X
ejpam-6340	114	9	µ	µ	X
ejpam-6340	114	10	[	[	PUNCT
ejpam-6340	114	11	e	e	NOUN
ejpam-6340	114	12	αλγ1	αλγ1	NOUN
ejpam-6340	114	13	γ1	γ1	NOUN
ejpam-6340	114	14	+	+	NOUN
ejpam-6340	114	15	β	β	X
ejpam-6340	114	16	µγ2	µγ2	NOUN
ejpam-6340	114	17	γ2	γ2	NOUN
ejpam-6340	114	18	]	]	PUNCT
ejpam-6340	114	19	=	=	SYM
ejpam-6340	114	20	lλhµ[e	lλhµ[e	NOUN
ejpam-6340	114	21	αλ+βµ	αλ+βµ	PROPN
ejpam-6340	114	22	]	]	X
ejpam-6340	114	23	=	=	PUNCT
ejpam-6340	114	24	υ	υ	PROPN
ejpam-6340	114	25	(	(	PUNCT
ejpam-6340	114	26	ς	ς	PROPN
ejpam-6340	114	27	−	−	PROPN
ejpam-6340	114	28	α	α	NOUN
ejpam-6340	114	29	)	)	PUNCT
ejpam-6340	114	30	(	(	PUNCT
ejpam-6340	114	31	τ	τ	PROPN
ejpam-6340	114	32	−	−	PROPN
ejpam-6340	114	33	βυ	βυ	CCONJ
ejpam-6340	114	34	)	)	PUNCT
ejpam-6340	114	35	,	,	PUNCT
ejpam-6340	114	36	re(ς	re(ς	NUM
ejpam-6340	114	37	)	)	PUNCT
ejpam-6340	114	38	>	>	X
ejpam-6340	114	39	re(α	re(α	NOUN
ejpam-6340	114	40	)	)	PUNCT
ejpam-6340	114	41	.	.	PUNCT
ejpam-6340	115	1	3.3	3.3	NUM
ejpam-6340	115	2	.	.	PUNCT
ejpam-6340	116	1	derivatives	derivative	NOUN
ejpam-6340	116	2	properties	property	NOUN
ejpam-6340	116	3	now	now	ADV
ejpam-6340	116	4	,	,	PUNCT
ejpam-6340	116	5	we	we	PRON
ejpam-6340	116	6	present	present	VERB
ejpam-6340	116	7	some	some	DET
ejpam-6340	116	8	basic	basic	ADJ
ejpam-6340	116	9	properties	property	NOUN
ejpam-6340	116	10	of	of	ADP
ejpam-6340	116	11	the	the	DET
ejpam-6340	116	12	cl	cl	NOUN
ejpam-6340	116	13	-	-	PUNCT
ejpam-6340	116	14	sh	sh	INTJ
ejpam-6340	116	15	let	let	VERB
ejpam-6340	116	16	r(ς	r(ς	NOUN
ejpam-6340	116	17	,	,	PUNCT
ejpam-6340	116	18	υ	υ	NOUN
ejpam-6340	116	19	)	)	PUNCT
ejpam-6340	116	20	=	=	SYM
ejpam-6340	116	21	lγ1	lγ1	PROPN
ejpam-6340	116	22	λ	λ	PROPN
ejpam-6340	116	23	hγ2	hγ2	PROPN
ejpam-6340	116	24	µ	µ	X
ejpam-6340	116	25	(	(	PUNCT
ejpam-6340	116	26	r(λ	r(λ	PROPN
ejpam-6340	116	27	,	,	PUNCT
ejpam-6340	116	28	µ	µ	NOUN
ejpam-6340	116	29	)	)	PUNCT
ejpam-6340	116	30	)	)	PUNCT
ejpam-6340	116	31	where	where	SCONJ
ejpam-6340	116	32	r(λ	r(λ	PROPN
ejpam-6340	116	33	,	,	PUNCT
ejpam-6340	116	34	µ	µ	NOUN
ejpam-6340	116	35	)	)	PUNCT
ejpam-6340	116	36	is	be	AUX
ejpam-6340	116	37	a	a	DET
ejpam-6340	116	38	continuous	continuous	ADJ
ejpam-6340	116	39	function	function	NOUN
ejpam-6340	116	40	on	on	ADP
ejpam-6340	116	41	[	[	X
ejpam-6340	116	42	0,∞)×[0,∞	0,∞)×[0,∞	NOUN
ejpam-6340	116	43	)	)	PUNCT
ejpam-6340	116	44	.	.	PUNCT
ejpam-6340	117	1	then	then	ADV
ejpam-6340	117	2	(	(	PUNCT
ejpam-6340	117	3	i	i	NOUN
ejpam-6340	117	4	)	)	PUNCT
ejpam-6340	117	5	lγ1	lγ1	PROPN
ejpam-6340	117	6	λ	λ	PROPN
ejpam-6340	117	7	hγ2	hγ2	PROPN
ejpam-6340	117	8	µ	µ	X
ejpam-6340	117	9	(	(	PUNCT
ejpam-6340	117	10	∂γ1r(λ	∂γ1r(λ	X
ejpam-6340	117	11	,	,	PUNCT
ejpam-6340	117	12	µ	µ	NOUN
ejpam-6340	117	13	)	)	PUNCT
ejpam-6340	117	14	∂λγ1	∂λγ1	NUM
ejpam-6340	117	15	)	)	PUNCT
ejpam-6340	118	1	=	=	SYM
ejpam-6340	118	2	ςr(ς	ςr(ς	PROPN
ejpam-6340	118	3	,	,	PUNCT
ejpam-6340	118	4	υ)−hγ2	υ)−hγ2	X
ejpam-6340	118	5	µ	µ	X
ejpam-6340	118	6	(	(	PUNCT
ejpam-6340	118	7	r(0	r(0	PROPN
ejpam-6340	118	8	,	,	PUNCT
ejpam-6340	118	9	µ	µ	NOUN
ejpam-6340	118	10	)	)	PUNCT
ejpam-6340	118	11	)	)	PUNCT
ejpam-6340	118	12	,	,	PUNCT
ejpam-6340	118	13	(	(	PUNCT
ejpam-6340	118	14	2	2	X
ejpam-6340	118	15	)	)	PUNCT
ejpam-6340	118	16	(	(	PUNCT
ejpam-6340	118	17	ii	ii	NOUN
ejpam-6340	118	18	)	)	PUNCT
ejpam-6340	118	19	lγ1	lγ1	PROPN
ejpam-6340	118	20	λ	λ	PROPN
ejpam-6340	118	21	hγ2	hγ2	PROPN
ejpam-6340	118	22	µ	µ	X
ejpam-6340	118	23	(	(	PUNCT
ejpam-6340	118	24	∂2γ1r(λ	∂2γ1r(λ	PROPN
ejpam-6340	118	25	,	,	PUNCT
ejpam-6340	118	26	µ	µ	NOUN
ejpam-6340	118	27	)	)	PUNCT
ejpam-6340	118	28	∂λ2γ1	∂λ2γ1	PROPN
ejpam-6340	118	29	)	)	PUNCT
ejpam-6340	119	1	=	=	SYM
ejpam-6340	119	2	ς2r(ς	ς2r(ς	PROPN
ejpam-6340	119	3	,	,	PUNCT
ejpam-6340	119	4	υ)−	υ)−	PROPN
ejpam-6340	119	5	ςhγ2	ςhγ2	PROPN
ejpam-6340	119	6	µ	µ	X
ejpam-6340	119	7	(	(	PUNCT
ejpam-6340	119	8	r(0	r(0	PROPN
ejpam-6340	119	9	,	,	PUNCT
ejpam-6340	119	10	µ))−hγ2	µ))−hγ2	NOUN
ejpam-6340	119	11	µ	µ	X
ejpam-6340	119	12	(	(	PUNCT
ejpam-6340	119	13	∂γ1r(0	∂γ1r(0	PROPN
ejpam-6340	119	14	,	,	PUNCT
ejpam-6340	119	15	µ	µ	NOUN
ejpam-6340	119	16	)	)	PUNCT
ejpam-6340	119	17	∂λγ1	∂λγ1	NUM
ejpam-6340	119	18	)	)	PUNCT
ejpam-6340	119	19	,	,	PUNCT
ejpam-6340	119	20	(	(	PUNCT
ejpam-6340	119	21	3	3	X
ejpam-6340	119	22	)	)	PUNCT
ejpam-6340	119	23	m.	m.	NOUN
ejpam-6340	119	24	al	al	PROPN
ejpam-6340	119	25	-	-	PUNCT
ejpam-6340	119	26	momani	momani	PROPN
ejpam-6340	119	27	,	,	PUNCT
ejpam-6340	119	28	b.	b.	PROPN
ejpam-6340	119	29	abughazaleh	abughazaleh	PROPN
ejpam-6340	119	30	/	/	SYM
ejpam-6340	119	31	eur	eur	PROPN
ejpam-6340	119	32	.	.	PUNCT
ejpam-6340	120	1	j.	j.	PROPN
ejpam-6340	120	2	pure	pure	PROPN
ejpam-6340	120	3	appl	appl	PROPN
ejpam-6340	120	4	.	.	PROPN
ejpam-6340	120	5	math	math	PROPN
ejpam-6340	120	6	,	,	PUNCT
ejpam-6340	120	7	18	18	NUM
ejpam-6340	120	8	(	(	PUNCT
ejpam-6340	120	9	4	4	NUM
ejpam-6340	120	10	)	)	PUNCT
ejpam-6340	120	11	(	(	PUNCT
ejpam-6340	120	12	2025	2025	NUM
ejpam-6340	120	13	)	)	PUNCT
ejpam-6340	120	14	,	,	PUNCT
ejpam-6340	120	15	6340	6340	NUM
ejpam-6340	120	16	6	6	NUM
ejpam-6340	120	17	of	of	ADP
ejpam-6340	120	18	12	12	NUM
ejpam-6340	120	19	(	(	PUNCT
ejpam-6340	120	20	iii	iii	NOUN
ejpam-6340	120	21	)	)	PUNCT
ejpam-6340	120	22	lγ1	lγ1	PROPN
ejpam-6340	120	23	λ	λ	PROPN
ejpam-6340	120	24	hγ2	hγ2	PROPN
ejpam-6340	120	25	µ	µ	X
ejpam-6340	120	26	(	(	PUNCT
ejpam-6340	120	27	∂γ2r(λ	∂γ2r(λ	PROPN
ejpam-6340	120	28	,	,	PUNCT
ejpam-6340	120	29	µ	µ	NOUN
ejpam-6340	120	30	)	)	PUNCT
ejpam-6340	120	31	∂µγ2	∂µγ2	NOUN
ejpam-6340	120	32	)	)	PUNCT
ejpam-6340	121	1	=	=	PUNCT
ejpam-6340	121	2	τ	τ	X
ejpam-6340	121	3	υ	υ	PRON
ejpam-6340	121	4	r(ς	r(ς	NOUN
ejpam-6340	121	5	,	,	PUNCT
ejpam-6340	121	6	υ)−	υ)−	PROPN
ejpam-6340	121	7	lγ1	lγ1	PROPN
ejpam-6340	121	8	λ	λ	X
ejpam-6340	121	9	(	(	PUNCT
ejpam-6340	121	10	r(λ	r(λ	PROPN
ejpam-6340	121	11	,	,	PUNCT
ejpam-6340	121	12	0	0	NUM
ejpam-6340	121	13	)	)	PUNCT
ejpam-6340	121	14	)	)	PUNCT
ejpam-6340	121	15	,	,	PUNCT
ejpam-6340	121	16	(	(	PUNCT
ejpam-6340	121	17	4	4	X
ejpam-6340	121	18	)	)	PUNCT
ejpam-6340	121	19	(	(	PUNCT
ejpam-6340	121	20	iv	iv	X
ejpam-6340	121	21	)	)	PUNCT
ejpam-6340	121	22	lγ1	lγ1	PROPN
ejpam-6340	121	23	λ	λ	PROPN
ejpam-6340	121	24	hγ2	hγ2	PROPN
ejpam-6340	121	25	µ	µ	X
ejpam-6340	121	26	(	(	PUNCT
ejpam-6340	121	27	∂2γ2r(λ	∂2γ2r(λ	PROPN
ejpam-6340	121	28	,	,	PUNCT
ejpam-6340	121	29	µ	µ	NOUN
ejpam-6340	121	30	)	)	PUNCT
ejpam-6340	121	31	∂µ2γ2	∂µ2γ2	PROPN
ejpam-6340	121	32	)	)	PUNCT
ejpam-6340	122	1	=	=	PUNCT
ejpam-6340	122	2	τ2	τ2	NOUN
ejpam-6340	122	3	υ2	υ2	NOUN
ejpam-6340	122	4	r(ς	r(ς	NOUN
ejpam-6340	122	5	,	,	PUNCT
ejpam-6340	122	6	υ)−	υ)−	PROPN
ejpam-6340	122	7	τ	τ	PROPN
ejpam-6340	122	8	υ	υ	X
ejpam-6340	122	9	lγ1	lγ1	PROPN
ejpam-6340	122	10	λ	λ	PROPN
ejpam-6340	122	11	(	(	PUNCT
ejpam-6340	122	12	r(λ	r(λ	PROPN
ejpam-6340	122	13	,	,	PUNCT
ejpam-6340	122	14	0))−	0))−	NOUN
ejpam-6340	122	15	lγ1	lγ1	PROPN
ejpam-6340	122	16	λ	λ	X
ejpam-6340	122	17	(	(	PUNCT
ejpam-6340	122	18	∂γ2r(λ	∂γ2r(λ	PROPN
ejpam-6340	122	19	,	,	PUNCT
ejpam-6340	122	20	0	0	NUM
ejpam-6340	122	21	)	)	PUNCT
ejpam-6340	122	22	∂µγ2	∂µγ2	NOUN
ejpam-6340	122	23	)	)	PUNCT
ejpam-6340	122	24	.	.	PUNCT
ejpam-6340	123	1	(	(	PUNCT
ejpam-6340	123	2	5	5	X
ejpam-6340	123	3	)	)	PUNCT
ejpam-6340	123	4	proof	proof	NOUN
ejpam-6340	123	5	.	.	PUNCT
ejpam-6340	124	1	proof	proof	NOUN
ejpam-6340	124	2	of	of	ADP
ejpam-6340	124	3	equation	equation	NOUN
ejpam-6340	124	4	2	2	NUM
ejpam-6340	124	5	lγ1	lγ1	PROPN
ejpam-6340	124	6	λ	λ	PROPN
ejpam-6340	124	7	w	w	PROPN
ejpam-6340	124	8	γ2	γ2	PROPN
ejpam-6340	124	9	µ	µ	X
ejpam-6340	124	10	(	(	PUNCT
ejpam-6340	124	11	∂γ1r(λ,µ	∂γ1r(λ,µ	NOUN
ejpam-6340	124	12	)	)	PUNCT
ejpam-6340	124	13	∂λγ1	∂λγ1	ADV
ejpam-6340	124	14	)	)	PUNCT
ejpam-6340	125	1	=	=	SYM
ejpam-6340	125	2	∞∫	∞∫	NOUN
ejpam-6340	125	3	0	0	NUM
ejpam-6340	126	1	∞∫	∞∫	NOUN
ejpam-6340	126	2	0	0	PUNCT
ejpam-6340	127	1	e	e	X
ejpam-6340	127	2	−	−	PROPN
ejpam-6340	127	3	(	(	PUNCT
ejpam-6340	127	4	ς	ς	PROPN
ejpam-6340	127	5	λγ1	λγ1	PROPN
ejpam-6340	127	6	γ1	γ1	PROPN
ejpam-6340	127	7	+	+	NOUN
ejpam-6340	127	8	τ	τ	PROPN
ejpam-6340	127	9	µγ2	µγ2	NOUN
ejpam-6340	127	10	υγ2	υγ2	NOUN
ejpam-6340	127	11	)	)	PUNCT
ejpam-6340	127	12	∂γ1r(λ,µ	∂γ1r(λ,µ	NOUN
ejpam-6340	127	13	)	)	PUNCT
ejpam-6340	127	14	∂λγ1	∂λγ1	PROPN
ejpam-6340	127	15	λγ1−1µγ2−1dλdµ.	λγ1−1µγ2−1dλdµ.	NUM
ejpam-6340	127	16	by	by	ADP
ejpam-6340	127	17	theorem	theorem	NOUN
ejpam-6340	127	18	1	1	NUM
ejpam-6340	127	19	,	,	PUNCT
ejpam-6340	127	20	we	we	PRON
ejpam-6340	127	21	have	have	VERB
ejpam-6340	127	22	∂γ1r(λ,µ	∂γ1r(λ,µ	NOUN
ejpam-6340	127	23	)	)	PUNCT
ejpam-6340	128	1	∂λγ1	∂λγ1	NOUN
ejpam-6340	128	2	=	=	SYM
ejpam-6340	129	1	λ1−γ1	λ1−γ1	NOUN
ejpam-6340	129	2	∂r(λ,µ	∂r(λ,µ	NOUN
ejpam-6340	129	3	)	)	PUNCT
ejpam-6340	129	4	∂λ	∂λ	PROPN
ejpam-6340	129	5	.	.	PUNCT
ejpam-6340	130	1	so	so	ADV
ejpam-6340	130	2	,	,	PUNCT
ejpam-6340	130	3	lγ1	lγ1	PROPN
ejpam-6340	130	4	λ	λ	PROPN
ejpam-6340	130	5	w	w	PROPN
ejpam-6340	130	6	γ2	γ2	PROPN
ejpam-6340	130	7	µ	µ	X
ejpam-6340	130	8	(	(	PUNCT
ejpam-6340	130	9	∂γ1r(λ,µ	∂γ1r(λ,µ	NOUN
ejpam-6340	130	10	)	)	PUNCT
ejpam-6340	130	11	∂λγ1	∂λγ1	ADV
ejpam-6340	130	12	)	)	PUNCT
ejpam-6340	131	1	=	=	PUNCT
ejpam-6340	131	2	∞∫	∞∫	NOUN
ejpam-6340	131	3	0	0	NUM
ejpam-6340	132	1	e	e	NOUN
ejpam-6340	132	2	−τ	−τ	PROPN
ejpam-6340	132	3	µγ2	µγ2	VERB
ejpam-6340	132	4	υγ2	υγ2	PROPN
ejpam-6340	132	5	µγ2−1	µγ2−1	NOUN
ejpam-6340	132	6	∞∫	∞∫	PROPN
ejpam-6340	132	7	0	0	PUNCT
ejpam-6340	132	8	e	e	PROPN
ejpam-6340	132	9	−ς	−ς	NOUN
ejpam-6340	132	10	λγ1	λγ1	PROPN
ejpam-6340	132	11	γ1	γ1	PROPN
ejpam-6340	132	12	∂r(λ,µ	∂r(λ,µ	PROPN
ejpam-6340	132	13	)	)	PUNCT
ejpam-6340	132	14	∂λ	∂λ	PROPN
ejpam-6340	132	15	dλdµ.	dλdµ.	NOUN
ejpam-6340	132	16	by	by	ADP
ejpam-6340	132	17	integrating	integrate	VERB
ejpam-6340	132	18	by	by	ADP
ejpam-6340	132	19	parts	part	NOUN
ejpam-6340	132	20	,	,	PUNCT
ejpam-6340	132	21	we	we	PRON
ejpam-6340	132	22	get	get	VERB
ejpam-6340	132	23	lγ1	lγ1	PROPN
ejpam-6340	132	24	λ	λ	PROPN
ejpam-6340	132	25	w	w	PROPN
ejpam-6340	132	26	γ2	γ2	PROPN
ejpam-6340	132	27	µ	µ	X
ejpam-6340	132	28	(	(	PUNCT
ejpam-6340	132	29	∂γ1r(λ,µ	∂γ1r(λ,µ	NOUN
ejpam-6340	132	30	)	)	PUNCT
ejpam-6340	132	31	∂λγ1	∂λγ1	ADV
ejpam-6340	132	32	)	)	PUNCT
ejpam-6340	133	1	=	=	PUNCT
ejpam-6340	133	2	∞∫	∞∫	NOUN
ejpam-6340	133	3	0	0	NUM
ejpam-6340	134	1	e	e	NOUN
ejpam-6340	134	2	−τ	−τ	PROPN
ejpam-6340	134	3	µγ2	µγ2	VERB
ejpam-6340	134	4	υγ2	υγ2	ADV
ejpam-6340	134	5	µγ2−1	µγ2−1	NOUN
ejpam-6340	134	6	(	(	PUNCT
ejpam-6340	134	7	−r(0	−r(0	PROPN
ejpam-6340	134	8	,	,	PUNCT
ejpam-6340	134	9	µ	µ	NOUN
ejpam-6340	134	10	)	)	PUNCT
ejpam-6340	134	11	+	+	CCONJ
ejpam-6340	134	12	ς	ς	PROPN
ejpam-6340	134	13	∞∫	∞∫	PROPN
ejpam-6340	134	14	0	0	NUM
ejpam-6340	134	15	e	e	PROPN
ejpam-6340	134	16	−ς	−ς	NOUN
ejpam-6340	134	17	λγ1	λγ1	PROPN
ejpam-6340	134	18	γ1	γ1	PROPN
ejpam-6340	134	19	r(λ	r(λ	PROPN
ejpam-6340	134	20	,	,	PUNCT
ejpam-6340	134	21	µ)λγ1−1	µ)λγ1−1	VERB
ejpam-6340	134	22	dλ	dλ	PROPN
ejpam-6340	134	23	)	)	PUNCT
ejpam-6340	134	24	dµ	dµ	PROPN
ejpam-6340	134	25	=	=	SYM
ejpam-6340	135	1	−	−	PROPN
ejpam-6340	135	2	∞∫	∞∫	NOUN
ejpam-6340	135	3	0	0	NUM
ejpam-6340	135	4	e	e	NOUN
ejpam-6340	135	5	−τ	−τ	PROPN
ejpam-6340	135	6	µγ2	µγ2	VERB
ejpam-6340	135	7	υγ2	υγ2	ADP
ejpam-6340	135	8	r(0	r(0	PROPN
ejpam-6340	135	9	,	,	PUNCT
ejpam-6340	135	10	µ)µγ2−1dµ+	µ)µγ2−1dµ+	PUNCT
ejpam-6340	136	1	ς	ς	PROPN
ejpam-6340	136	2	∞∫	∞∫	PROPN
ejpam-6340	136	3	0	0	NUM
ejpam-6340	136	4	∞∫	∞∫	NOUN
ejpam-6340	136	5	0	0	PUNCT
ejpam-6340	137	1	e	e	X
ejpam-6340	137	2	−	−	PROPN
ejpam-6340	137	3	(	(	PUNCT
ejpam-6340	137	4	ς	ς	PROPN
ejpam-6340	137	5	λγ1	λγ1	PROPN
ejpam-6340	137	6	γ1	γ1	PROPN
ejpam-6340	137	7	+	+	NOUN
ejpam-6340	137	8	τ	τ	PROPN
ejpam-6340	137	9	µγ2	µγ2	NOUN
ejpam-6340	137	10	υγ2	υγ2	NOUN
ejpam-6340	137	11	)	)	PUNCT
ejpam-6340	137	12	r(λ	r(λ	PROPN
ejpam-6340	137	13	,	,	PUNCT
ejpam-6340	137	14	µ)λγ1−1µγ2−1dλdµ	µ)λγ1−1µγ2−1dλdµ	NOUN
ejpam-6340	137	15	=	=	SYM
ejpam-6340	137	16	ςr(ς	ςr(ς	PROPN
ejpam-6340	137	17	,	,	PUNCT
ejpam-6340	137	18	υ)−w	υ)−w	ADP
ejpam-6340	137	19	γ2	γ2	PROPN
ejpam-6340	137	20	µ	µ	X
ejpam-6340	137	21	(	(	PUNCT
ejpam-6340	137	22	r(0	r(0	PROPN
ejpam-6340	137	23	,	,	PUNCT
ejpam-6340	137	24	µ	µ	NOUN
ejpam-6340	137	25	)	)	PUNCT
ejpam-6340	137	26	)	)	PUNCT
ejpam-6340	137	27	.	.	PUNCT
ejpam-6340	138	1	the	the	DET
ejpam-6340	138	2	proof	proof	NOUN
ejpam-6340	138	3	of	of	ADP
ejpam-6340	138	4	equations	equation	NOUN
ejpam-6340	138	5	3	3	NUM
ejpam-6340	138	6	,	,	PUNCT
ejpam-6340	138	7	4	4	NUM
ejpam-6340	138	8	and	and	CCONJ
ejpam-6340	138	9	5	5	NUM
ejpam-6340	138	10	can	can	AUX
ejpam-6340	138	11	be	be	AUX
ejpam-6340	138	12	obtained	obtain	VERB
ejpam-6340	138	13	in	in	ADP
ejpam-6340	138	14	the	the	DET
ejpam-6340	138	15	same	same	ADJ
ejpam-6340	138	16	manner	manner	NOUN
ejpam-6340	138	17	.	.	PUNCT
ejpam-6340	139	1	in	in	ADP
ejpam-6340	139	2	table	table	NOUN
ejpam-6340	139	3	1	1	NUM
ejpam-6340	139	4	,	,	PUNCT
ejpam-6340	139	5	we	we	PRON
ejpam-6340	139	6	have	have	VERB
ejpam-6340	139	7	the	the	DET
ejpam-6340	139	8	cl	cl	NOUN
ejpam-6340	139	9	-	-	PUNCT
ejpam-6340	139	10	sh	sh	NOUN
ejpam-6340	139	11	of	of	ADP
ejpam-6340	139	12	some	some	DET
ejpam-6340	139	13	basic	basic	ADJ
ejpam-6340	139	14	functions	function	NOUN
ejpam-6340	139	15	.	.	PUNCT
ejpam-6340	140	1	table	table	NOUN
ejpam-6340	140	2	1	1	NUM
ejpam-6340	140	3	:	:	PUNCT
ejpam-6340	140	4	table	table	NOUN
ejpam-6340	140	5	of	of	ADP
ejpam-6340	140	6	conformable	conformable	ADJ
ejpam-6340	140	7	double	double	ADJ
ejpam-6340	140	8	laplace	laplace	NOUN
ejpam-6340	140	9	-	-	PUNCT
ejpam-6340	140	10	shehu	shehu	NOUN
ejpam-6340	140	11	transform	transform	VERB
ejpam-6340	140	12	r(λ	r(λ	PROPN
ejpam-6340	140	13	,	,	PUNCT
ejpam-6340	140	14	µ	µ	NOUN
ejpam-6340	140	15	)	)	PUNCT
ejpam-6340	140	16	lγ1	lγ1	PROPN
ejpam-6340	140	17	λ	λ	PROPN
ejpam-6340	140	18	hγ2	hγ2	PROPN
ejpam-6340	140	19	µ	µ	X
ejpam-6340	140	20	(	(	PUNCT
ejpam-6340	140	21	r(λ	r(λ	PROPN
ejpam-6340	140	22	,	,	PUNCT
ejpam-6340	140	23	µ	µ	NOUN
ejpam-6340	140	24	)	)	PUNCT
ejpam-6340	140	25	)	)	PUNCT
ejpam-6340	141	1	c	c	PROPN
ejpam-6340	141	2	cυ	cυ	PROPN
ejpam-6340	141	3	ςτ	ςτ	NOUN
ejpam-6340	141	4	,	,	PUNCT
ejpam-6340	141	5	re(ς	re(ς	NUM
ejpam-6340	141	6	)	)	PUNCT
ejpam-6340	141	7	>	>	X
ejpam-6340	141	8	0	0	PUNCT
ejpam-6340	141	9	(	(	PUNCT
ejpam-6340	141	10	λγ1	λγ1	PROPN
ejpam-6340	141	11	γ1	γ1	PROPN
ejpam-6340	141	12	)	)	PUNCT
ejpam-6340	142	1	α	α	PROPN
ejpam-6340	142	2	(	(	PUNCT
ejpam-6340	142	3	µγ2	µγ2	NOUN
ejpam-6340	142	4	γ2	γ2	NOUN
ejpam-6340	142	5	)	)	PUNCT
ejpam-6340	142	6	β	β	NOUN
ejpam-6340	142	7	υβ+1	υβ+1	NOUN
ejpam-6340	142	8	ςα+1τβ+1γ(α+	ςα+1τβ+1γ(α+	VERB
ejpam-6340	142	9	1)γ(β	1)γ(β	NUM
ejpam-6340	142	10	+	+	ADP
ejpam-6340	142	11	1	1	NUM
ejpam-6340	142	12	)	)	PUNCT
ejpam-6340	142	13	,	,	PUNCT
ejpam-6340	142	14	re(ς	re(ς	NUM
ejpam-6340	142	15	)	)	PUNCT
ejpam-6340	142	16	>	>	X
ejpam-6340	142	17	0	0	PUNCT
ejpam-6340	142	18	and	and	CCONJ
ejpam-6340	142	19	re(α	re(α	NOUN
ejpam-6340	142	20	)	)	PUNCT
ejpam-6340	142	21	>	>	X
ejpam-6340	143	1	−1	−1	NOUN
ejpam-6340	143	2	e	e	NOUN
ejpam-6340	143	3	αλγ1	αλγ1	NOUN
ejpam-6340	143	4	γ1	γ1	NOUN
ejpam-6340	143	5	+	+	NOUN
ejpam-6340	143	6	β	β	X
ejpam-6340	143	7	µγ2	µγ2	VERB
ejpam-6340	143	8	γ2	γ2	PROPN
ejpam-6340	143	9	υ	υ	PROPN
ejpam-6340	143	10	(	(	PUNCT
ejpam-6340	143	11	ς−α)(τ−βυ	ς−α)(τ−βυ	NOUN
ejpam-6340	143	12	)	)	PUNCT
ejpam-6340	143	13	,	,	PUNCT
ejpam-6340	143	14	re(ς	re(ς	NUM
ejpam-6340	143	15	)	)	PUNCT
ejpam-6340	143	16	>	>	X
ejpam-6340	143	17	re(α	re(α	NOUN
ejpam-6340	143	18	)	)	PUNCT
ejpam-6340	144	1	e	e	NOUN
ejpam-6340	144	2	i	i	PRON
ejpam-6340	144	3	(	(	PUNCT
ejpam-6340	144	4	αλγ1	αλγ1	PROPN
ejpam-6340	144	5	γ1	γ1	NOUN
ejpam-6340	144	6	+	+	NOUN
ejpam-6340	144	7	β	β	X
ejpam-6340	144	8	µγ2	µγ2	NOUN
ejpam-6340	144	9	γ2	γ2	NOUN
ejpam-6340	144	10	)	)	PUNCT
ejpam-6340	144	11	iυ	iυ	PROPN
ejpam-6340	144	12	(	(	PUNCT
ejpam-6340	144	13	ς−iα)(τ−iβυ	ς−iα)(τ−iβυ	NOUN
ejpam-6340	144	14	)	)	PUNCT
ejpam-6340	144	15	,	,	PUNCT
ejpam-6340	144	16	im(α	im(α	NOUN
ejpam-6340	144	17	)	)	PUNCT
ejpam-6340	144	18	+	+	NUM
ejpam-6340	144	19	re(ς	re(ς	X
ejpam-6340	144	20	)	)	PUNCT
ejpam-6340	144	21	>	>	SYM
ejpam-6340	144	22	0	0	NUM
ejpam-6340	144	23	sin	sin	NOUN
ejpam-6340	144	24	(	(	PUNCT
ejpam-6340	144	25	αλγ1	αλγ1	NOUN
ejpam-6340	144	26	γ1	γ1	NOUN
ejpam-6340	144	27	+	+	CCONJ
ejpam-6340	144	28	β	β	X
ejpam-6340	144	29	µγ2	µγ2	NOUN
ejpam-6340	144	30	γ2	γ2	NOUN
ejpam-6340	144	31	)	)	PUNCT
ejpam-6340	144	32	υ(τα+ςυβ	υ(τα+ςυβ	NOUN
ejpam-6340	144	33	)	)	PUNCT
ejpam-6340	144	34	(	(	PUNCT
ejpam-6340	144	35	ς2+α2)(τ2+β2υ2	ς2+α2)(τ2+β2υ2	NUM
ejpam-6340	144	36	)	)	PUNCT
ejpam-6340	144	37	,	,	PUNCT
ejpam-6340	144	38	|im(α)|	|im(α)|	VERB
ejpam-6340	144	39	<	<	X
ejpam-6340	144	40	re(ς	re(ς	NUM
ejpam-6340	144	41	)	)	PUNCT
ejpam-6340	144	42	cos	cos	PROPN
ejpam-6340	144	43	(	(	PUNCT
ejpam-6340	144	44	αλγ1	αλγ1	PROPN
ejpam-6340	144	45	γ1	γ1	NOUN
ejpam-6340	144	46	+	+	CCONJ
ejpam-6340	144	47	β	β	X
ejpam-6340	144	48	µγ2	µγ2	NOUN
ejpam-6340	144	49	γ2	γ2	NOUN
ejpam-6340	144	50	)	)	PUNCT
ejpam-6340	144	51	υ(ςτ−υαβ	υ(ςτ−υαβ	PROPN
ejpam-6340	144	52	)	)	PUNCT
ejpam-6340	144	53	(	(	PUNCT
ejpam-6340	144	54	ς2+α2)(τ2+β2υ2	ς2+α2)(τ2+β2υ2	NUM
ejpam-6340	144	55	)	)	PUNCT
ejpam-6340	144	56	,	,	PUNCT
ejpam-6340	144	57	|im(α)|	|im(α)|	VERB
ejpam-6340	144	58	<	<	X
ejpam-6340	144	59	re(ς	re(ς	NUM
ejpam-6340	144	60	)	)	PUNCT
ejpam-6340	144	61	sinh	sinh	NOUN
ejpam-6340	144	62	(	(	PUNCT
ejpam-6340	144	63	αλγ1	αλγ1	NOUN
ejpam-6340	144	64	γ1	γ1	NOUN
ejpam-6340	144	65	+	+	CCONJ
ejpam-6340	144	66	β	β	X
ejpam-6340	144	67	µγ2	µγ2	NOUN
ejpam-6340	144	68	γ2	γ2	NOUN
ejpam-6340	144	69	)	)	PUNCT
ejpam-6340	144	70	υ(τα+ςυβ	υ(τα+ςυβ	NOUN
ejpam-6340	144	71	)	)	PUNCT
ejpam-6340	144	72	(	(	PUNCT
ejpam-6340	144	73	ς2−α2)(τ2−β2υ2	ς2−α2)(τ2−β2υ2	NOUN
ejpam-6340	144	74	)	)	PUNCT
ejpam-6340	144	75	,	,	PUNCT
ejpam-6340	144	76	re(ς	re(ς	NUM
ejpam-6340	144	77	)	)	PUNCT
ejpam-6340	144	78	>	>	X
ejpam-6340	144	79	re(α	re(α	NOUN
ejpam-6340	144	80	)	)	PUNCT
ejpam-6340	144	81	and	and	CCONJ
ejpam-6340	144	82	re(ς	re(ς	NUM
ejpam-6340	144	83	)	)	PUNCT
ejpam-6340	144	84	+	+	CCONJ
ejpam-6340	144	85	re(α	re(α	NOUN
ejpam-6340	144	86	)	)	PUNCT
ejpam-6340	144	87	>	>	SYM
ejpam-6340	144	88	0	0	NUM
ejpam-6340	145	1	cosh	cosh	NOUN
ejpam-6340	145	2	(	(	PUNCT
ejpam-6340	145	3	αλγ1	αλγ1	NOUN
ejpam-6340	145	4	γ1	γ1	NOUN
ejpam-6340	145	5	+	+	CCONJ
ejpam-6340	145	6	β	β	X
ejpam-6340	145	7	µγ2	µγ2	NOUN
ejpam-6340	145	8	γ2	γ2	NOUN
ejpam-6340	145	9	)	)	PUNCT
ejpam-6340	145	10	υ(ςτ−υαβ	υ(ςτ−υαβ	NOUN
ejpam-6340	145	11	)	)	PUNCT
ejpam-6340	145	12	(	(	PUNCT
ejpam-6340	145	13	ς2−α2)(τ2−β2υ2	ς2−α2)(τ2−β2υ2	NOUN
ejpam-6340	145	14	)	)	PUNCT
ejpam-6340	145	15	,	,	PUNCT
ejpam-6340	145	16	re(ς	re(ς	NUM
ejpam-6340	145	17	)	)	PUNCT
ejpam-6340	145	18	>	>	X
ejpam-6340	145	19	re(α	re(α	NOUN
ejpam-6340	145	20	)	)	PUNCT
ejpam-6340	145	21	and	and	CCONJ
ejpam-6340	145	22	re(ς	re(ς	NUM
ejpam-6340	145	23	)	)	PUNCT
ejpam-6340	145	24	+	+	CCONJ
ejpam-6340	145	25	re(α	re(α	NOUN
ejpam-6340	145	26	)	)	PUNCT
ejpam-6340	145	27	>	>	SYM
ejpam-6340	145	28	0	0	NUM
ejpam-6340	145	29	p(λ)q(µ	p(λ)q(µ	NOUN
ejpam-6340	145	30	)	)	PUNCT
ejpam-6340	145	31	lγ1	lγ1	PROPN
ejpam-6340	145	32	λ	λ	PROPN
ejpam-6340	145	33	(	(	PUNCT
ejpam-6340	145	34	p(λ))hγ2	p(λ))hγ2	X
ejpam-6340	145	35	µ	µ	X
ejpam-6340	145	36	(	(	PUNCT
ejpam-6340	145	37	q(µ	q(µ	NOUN
ejpam-6340	145	38	)	)	PUNCT
ejpam-6340	145	39	)	)	PUNCT
ejpam-6340	145	40	4	4	NUM
ejpam-6340	145	41	.	.	PUNCT
ejpam-6340	145	42	applications	application	NOUN
ejpam-6340	145	43	m.	m.	PROPN
ejpam-6340	145	44	al	al	PROPN
ejpam-6340	145	45	-	-	PUNCT
ejpam-6340	145	46	momani	momani	PROPN
ejpam-6340	145	47	,	,	PUNCT
ejpam-6340	145	48	b.	b.	PROPN
ejpam-6340	145	49	abughazaleh	abughazaleh	PROPN
ejpam-6340	145	50	/	/	SYM
ejpam-6340	145	51	eur	eur	PROPN
ejpam-6340	145	52	.	.	PUNCT
ejpam-6340	146	1	j.	j.	PROPN
ejpam-6340	146	2	pure	pure	PROPN
ejpam-6340	146	3	appl	appl	PROPN
ejpam-6340	146	4	.	.	PROPN
ejpam-6340	146	5	math	math	PROPN
ejpam-6340	146	6	,	,	PUNCT
ejpam-6340	146	7	18	18	NUM
ejpam-6340	146	8	(	(	PUNCT
ejpam-6340	146	9	4	4	NUM
ejpam-6340	146	10	)	)	PUNCT
ejpam-6340	146	11	(	(	PUNCT
ejpam-6340	146	12	2025	2025	NUM
ejpam-6340	146	13	)	)	PUNCT
ejpam-6340	146	14	,	,	PUNCT
ejpam-6340	146	15	6340	6340	NUM
ejpam-6340	146	16	7	7	NUM
ejpam-6340	146	17	of	of	ADP
ejpam-6340	146	18	12	12	NUM
ejpam-6340	146	19	in	in	ADP
ejpam-6340	146	20	this	this	DET
ejpam-6340	146	21	section	section	NOUN
ejpam-6340	146	22	,	,	PUNCT
ejpam-6340	146	23	we	we	PRON
ejpam-6340	146	24	apply	apply	VERB
ejpam-6340	146	25	the	the	DET
ejpam-6340	146	26	cl	cl	NOUN
ejpam-6340	146	27	-	-	PUNCT
ejpam-6340	146	28	sh	sh	NOUN
ejpam-6340	146	29	transform	transform	NOUN
ejpam-6340	146	30	to	to	PART
ejpam-6340	146	31	solve	solve	VERB
ejpam-6340	146	32	some	some	DET
ejpam-6340	146	33	conformable	conformable	ADJ
ejpam-6340	146	34	partial	partial	ADJ
ejpam-6340	146	35	differential	differential	NOUN
ejpam-6340	146	36	equations	equation	NOUN
ejpam-6340	146	37	.	.	PUNCT
ejpam-6340	147	1	example	example	NOUN
ejpam-6340	148	1	1	1	NUM
ejpam-6340	148	2	.	.	X
ejpam-6340	148	3	consider	consider	VERB
ejpam-6340	148	4	the	the	DET
ejpam-6340	148	5	conformable	conformable	ADJ
ejpam-6340	148	6	wave	wave	NOUN
ejpam-6340	148	7	equation	equation	NOUN
ejpam-6340	148	8	∂2γ1r(λ	∂2γ1r(λ	NOUN
ejpam-6340	148	9	,	,	PUNCT
ejpam-6340	148	10	µ	µ	NOUN
ejpam-6340	148	11	)	)	PUNCT
ejpam-6340	148	12	∂λ2γ1	∂λ2γ1	ADJ
ejpam-6340	148	13	+	+	NOUN
ejpam-6340	148	14	4	4	NUM
ejpam-6340	148	15	∂2γ2r(λ	∂2γ2r(λ	NOUN
ejpam-6340	148	16	,	,	PUNCT
ejpam-6340	148	17	µ	µ	NOUN
ejpam-6340	148	18	)	)	PUNCT
ejpam-6340	148	19	∂µ2γ2	∂µ2γ2	NOUN
ejpam-6340	148	20	=	=	PUNCT
ejpam-6340	148	21	6	6	NUM
ejpam-6340	148	22	λγ1	λγ1	NOUN
ejpam-6340	148	23	γ1	γ1	PROPN
ejpam-6340	148	24	,	,	PUNCT
ejpam-6340	148	25	where	where	SCONJ
ejpam-6340	148	26	λ	λ	PROPN
ejpam-6340	148	27	,	,	PUNCT
ejpam-6340	148	28	µ	µ	PRON
ejpam-6340	148	29	≥	≥	NOUN
ejpam-6340	148	30	0	0	NUM
ejpam-6340	148	31	(	(	PUNCT
ejpam-6340	148	32	6	6	NUM
ejpam-6340	148	33	)	)	PUNCT
ejpam-6340	148	34	with	with	ADP
ejpam-6340	148	35	initial	initial	ADJ
ejpam-6340	148	36	conditions	condition	NOUN
ejpam-6340	148	37	(	(	PUNCT
ejpam-6340	148	38	ics	ics	NOUN
ejpam-6340	148	39	)	)	PUNCT
ejpam-6340	148	40	r(λ	r(λ	NOUN
ejpam-6340	148	41	,	,	PUNCT
ejpam-6340	148	42	0	0	NUM
ejpam-6340	148	43	)	)	PUNCT
ejpam-6340	148	44	=	=	PRON
ejpam-6340	148	45	(	(	PUNCT
ejpam-6340	148	46	λγ1	λγ1	PROPN
ejpam-6340	148	47	γ1	γ1	PROPN
ejpam-6340	148	48	)	)	PUNCT
ejpam-6340	148	49	3	3	NUM
ejpam-6340	148	50	,	,	PUNCT
ejpam-6340	148	51	∂γ2r(λ,0	∂γ2r(λ,0	NUM
ejpam-6340	148	52	)	)	PUNCT
ejpam-6340	148	53	∂µγ2	∂µγ2	PROPN
ejpam-6340	148	54	=	=	SYM
ejpam-6340	148	55	cos	cos	PROPN
ejpam-6340	148	56	(	(	PUNCT
ejpam-6340	148	57	2λγ1	2λγ1	NUM
ejpam-6340	148	58	γ1	γ1	PROPN
ejpam-6340	148	59	)	)	PUNCT
ejpam-6340	148	60	,	,	PUNCT
ejpam-6340	148	61	and	and	CCONJ
ejpam-6340	148	62	boundary	boundary	ADJ
ejpam-6340	148	63	conditions	condition	NOUN
ejpam-6340	148	64	(	(	PUNCT
ejpam-6340	148	65	bcs	bcs	NOUN
ejpam-6340	148	66	)	)	PUNCT
ejpam-6340	148	67	r	r	NOUN
ejpam-6340	148	68	(	(	PUNCT
ejpam-6340	148	69	0	0	NUM
ejpam-6340	148	70	,	,	PUNCT
ejpam-6340	148	71	µ	µ	NOUN
ejpam-6340	148	72	)	)	PUNCT
ejpam-6340	148	73	=	=	SYM
ejpam-6340	148	74	sinh	sinh	NOUN
ejpam-6340	148	75	(	(	PUNCT
ejpam-6340	148	76	µγ2	µγ2	NOUN
ejpam-6340	148	77	γ2	γ2	NOUN
ejpam-6340	148	78	)	)	PUNCT
ejpam-6340	148	79	,	,	PUNCT
ejpam-6340	148	80	∂γ1r(0,µ	∂γ1r(0,µ	NOUN
ejpam-6340	148	81	)	)	PUNCT
ejpam-6340	149	1	∂λγ1	∂λγ1	NOUN
ejpam-6340	149	2	=	=	SYM
ejpam-6340	149	3	0	0	X
ejpam-6340	149	4	.	.	PUNCT
ejpam-6340	149	5	solution	solution	NOUN
ejpam-6340	149	6	1	1	NUM
ejpam-6340	149	7	.	.	PUNCT
ejpam-6340	149	8	by	by	ADP
ejpam-6340	149	9	applying	apply	VERB
ejpam-6340	149	10	the	the	DET
ejpam-6340	149	11	cl	cl	NOUN
ejpam-6340	149	12	to	to	ADP
ejpam-6340	149	13	the	the	DET
ejpam-6340	149	14	ics	ic	NOUN
ejpam-6340	149	15	and	and	CCONJ
ejpam-6340	149	16	the	the	DET
ejpam-6340	149	17	csh	csh	NOUN
ejpam-6340	149	18	to	to	ADP
ejpam-6340	149	19	the	the	DET
ejpam-6340	149	20	bcs	bc	NOUN
ejpam-6340	149	21	,	,	PUNCT
ejpam-6340	149	22	we	we	PRON
ejpam-6340	149	23	get	get	VERB
ejpam-6340	149	24	lγ1	lγ1	ADJ
ejpam-6340	149	25	λ	λ	NOUN
ejpam-6340	149	26	(	(	PUNCT
ejpam-6340	149	27	(	(	PUNCT
ejpam-6340	149	28	λγ1	λγ1	PROPN
ejpam-6340	149	29	γ1	γ1	PROPN
ejpam-6340	149	30	)	)	PUNCT
ejpam-6340	149	31	3	3	NUM
ejpam-6340	149	32	)	)	PUNCT
ejpam-6340	149	33	=	=	SYM
ejpam-6340	149	34	6	6	NUM
ejpam-6340	149	35	ς4	ς4	PROPN
ejpam-6340	149	36	,	,	PUNCT
ejpam-6340	149	37	lγ1	lγ1	PROPN
ejpam-6340	149	38	λ	λ	X
ejpam-6340	149	39	(	(	PUNCT
ejpam-6340	149	40	cos	cos	PROPN
ejpam-6340	149	41	(	(	PUNCT
ejpam-6340	149	42	2λγ1	2λγ1	NUM
ejpam-6340	149	43	γ1	γ1	NOUN
ejpam-6340	149	44	)	)	PUNCT
ejpam-6340	149	45	)	)	PUNCT
ejpam-6340	150	1	=	=	PUNCT
ejpam-6340	150	2	ς	ς	PROPN
ejpam-6340	150	3	ς2	ς2	PROPN
ejpam-6340	150	4	+	+	PROPN
ejpam-6340	150	5	4	4	NUM
ejpam-6340	150	6	,	,	PUNCT
ejpam-6340	150	7	hγ2	hγ2	PROPN
ejpam-6340	150	8	µ	µ	X
ejpam-6340	150	9	(	(	PUNCT
ejpam-6340	150	10	sinh	sinh	PROPN
ejpam-6340	150	11	(	(	PUNCT
ejpam-6340	150	12	µγ2	µγ2	NOUN
ejpam-6340	150	13	γ2	γ2	NOUN
ejpam-6340	150	14	)	)	PUNCT
ejpam-6340	150	15	)	)	PUNCT
ejpam-6340	151	1	=	=	SYM
ejpam-6340	151	2	υ2	υ2	NOUN
ejpam-6340	151	3	τ2−υ2	τ2−υ2	ADP
ejpam-6340	151	4	,	,	PUNCT
ejpam-6340	151	5	h	h	PROPN
ejpam-6340	151	6	γ2	γ2	PROPN
ejpam-6340	151	7	µ	µ	X
ejpam-6340	151	8	(	(	PUNCT
ejpam-6340	151	9	0	0	NUM
ejpam-6340	151	10	)	)	PUNCT
ejpam-6340	151	11	=	=	SYM
ejpam-6340	151	12	0	0	X
ejpam-6340	151	13	.	.	PUNCT
ejpam-6340	151	14	apply	apply	VERB
ejpam-6340	151	15	the	the	DET
ejpam-6340	151	16	cl	cl	NOUN
ejpam-6340	151	17	-	-	PUNCT
ejpam-6340	151	18	sh	sh	NOUN
ejpam-6340	151	19	to	to	ADP
ejpam-6340	151	20	equation	equation	NOUN
ejpam-6340	151	21	6	6	NUM
ejpam-6340	151	22	,	,	PUNCT
ejpam-6340	151	23	we	we	PRON
ejpam-6340	151	24	get	get	VERB
ejpam-6340	151	25	ς2r−	ς2r−	NOUN
ejpam-6340	151	26	ςυ2	ςυ2	NOUN
ejpam-6340	151	27	τ2	τ2	NOUN
ejpam-6340	151	28	−	−	NOUN
ejpam-6340	151	29	υ2	υ2	NOUN
ejpam-6340	151	30	+	+	CCONJ
ejpam-6340	151	31	4τ2	4τ2	NUM
ejpam-6340	151	32	υ2	υ2	PROPN
ejpam-6340	151	33	r−	r−	PROPN
ejpam-6340	151	34	24τ	24τ	NOUN
ejpam-6340	151	35	ς4υ	ς4υ	ADJ
ejpam-6340	151	36	−	−	NUM
ejpam-6340	152	1	4ς	4ς	NOUN
ejpam-6340	152	2	ς2	ς2	PROPN
ejpam-6340	153	1	+	+	CCONJ
ejpam-6340	153	2	4	4	NUM
ejpam-6340	153	3	=	=	NOUN
ejpam-6340	153	4	6υ	6υ	NOUN
ejpam-6340	153	5	ς2τ	ς2τ	NOUN
ejpam-6340	153	6	so	so	ADV
ejpam-6340	153	7	,	,	PUNCT
ejpam-6340	153	8	r(ς	r(ς	NOUN
ejpam-6340	153	9	,	,	PUNCT
ejpam-6340	153	10	υ	υ	NOUN
ejpam-6340	153	11	)	)	PUNCT
ejpam-6340	153	12	=	=	SYM
ejpam-6340	154	1	ςυ2	ςυ2	NOUN
ejpam-6340	154	2	τ2−υ2	τ2−υ2	ADP
ejpam-6340	154	3	+	+	NOUN
ejpam-6340	154	4	24τ	24τ	NOUN
ejpam-6340	154	5	ς4υ	ς4υ	ADJ
ejpam-6340	154	6	+	+	CCONJ
ejpam-6340	154	7	4ς	4ς	NUM
ejpam-6340	154	8	ς2	ς2	PROPN
ejpam-6340	154	9	+	+	PROPN
ejpam-6340	154	10	4	4	NUM
ejpam-6340	154	11	+	+	NUM
ejpam-6340	154	12	6υ	6υ	NOUN
ejpam-6340	154	13	ς2τ	ς2τ	PROPN
ejpam-6340	154	14	ς2	ς2	PROPN
ejpam-6340	154	15	+	+	CCONJ
ejpam-6340	154	16	4τ2	4τ2	NOUN
ejpam-6340	154	17	υ2	υ2	NOUN
ejpam-6340	154	18	=	=	SYM
ejpam-6340	154	19	ς3υ2	ς3υ2	PROPN
ejpam-6340	154	20	+	+	NOUN
ejpam-6340	154	21	4ςτ2	4ςτ2	NUM
ejpam-6340	154	22	(	(	PUNCT
ejpam-6340	154	23	ς2	ς2	PROPN
ejpam-6340	154	24	+	+	NOUN
ejpam-6340	154	25	4)(τ2−υ2	4)(τ2−υ2	NUM
ejpam-6340	154	26	)	)	PUNCT
ejpam-6340	154	27	+	+	CCONJ
ejpam-6340	155	1	24τ2	24τ2	NUM
ejpam-6340	155	2	+	+	SYM
ejpam-6340	155	3	6ς2υ2	6ς2υ2	NUM
ejpam-6340	155	4	ς4τυ	ς4τυ	X
ejpam-6340	155	5	ς2υ2	ς2υ2	X
ejpam-6340	155	6	+	+	NOUN
ejpam-6340	155	7	4τ2	4τ2	NOUN
ejpam-6340	155	8	υ2	υ2	NOUN
ejpam-6340	155	9	by	by	ADP
ejpam-6340	155	10	simplify	simplify	NOUN
ejpam-6340	155	11	,	,	PUNCT
ejpam-6340	155	12	r(ς	r(ς	ADJ
ejpam-6340	155	13	,	,	PUNCT
ejpam-6340	155	14	υ	υ	NOUN
ejpam-6340	155	15	)	)	PUNCT
ejpam-6340	155	16	=	=	SYM
ejpam-6340	156	1	ςυ2	ςυ2	NOUN
ejpam-6340	156	2	(	(	PUNCT
ejpam-6340	156	3	ς2	ς2	PROPN
ejpam-6340	156	4	+	+	NOUN
ejpam-6340	156	5	4	4	NUM
ejpam-6340	156	6	)	)	PUNCT
ejpam-6340	156	7	(	(	PUNCT
ejpam-6340	156	8	τ2	τ2	NOUN
ejpam-6340	156	9	−	−	NOUN
ejpam-6340	156	10	υ2	υ2	NOUN
ejpam-6340	156	11	)	)	PUNCT
ejpam-6340	156	12	+	+	NUM
ejpam-6340	156	13	6υ	6υ	NOUN
ejpam-6340	156	14	ς4τ	ς4τ	X
ejpam-6340	156	15	.	.	PUNCT
ejpam-6340	157	1	so	so	ADV
ejpam-6340	157	2	,	,	PUNCT
ejpam-6340	157	3	r(λ	r(λ	PROPN
ejpam-6340	157	4	,	,	PUNCT
ejpam-6340	157	5	µ	µ	NOUN
ejpam-6340	157	6	)	)	PUNCT
ejpam-6340	157	7	=	=	PUNCT
ejpam-6340	157	8	(	(	PUNCT
ejpam-6340	157	9	lγ1	lγ1	PROPN
ejpam-6340	157	10	λ	λ	NOUN
ejpam-6340	157	11	)	)	PUNCT
ejpam-6340	157	12	−1	−1	NOUN
ejpam-6340	157	13	(	(	PUNCT
ejpam-6340	157	14	hγ2	hγ2	NOUN
ejpam-6340	157	15	µ	µ	X
ejpam-6340	157	16	)	)	PUNCT
ejpam-6340	157	17	−1	−1	NOUN
ejpam-6340	157	18	(	(	PUNCT
ejpam-6340	157	19	ςυ2	ςυ2	X
ejpam-6340	157	20	(	(	PUNCT
ejpam-6340	157	21	ς2	ς2	PROPN
ejpam-6340	157	22	+	+	NOUN
ejpam-6340	157	23	4	4	NUM
ejpam-6340	157	24	)	)	PUNCT
ejpam-6340	157	25	(	(	PUNCT
ejpam-6340	157	26	τ2	τ2	NOUN
ejpam-6340	157	27	−	−	NOUN
ejpam-6340	157	28	υ2	υ2	NOUN
ejpam-6340	157	29	)	)	PUNCT
ejpam-6340	157	30	+	+	NUM
ejpam-6340	157	31	6υ	6υ	NOUN
ejpam-6340	157	32	ς4τ	ς4τ	X
ejpam-6340	157	33	)	)	PUNCT
ejpam-6340	158	1	=	=	PUNCT
ejpam-6340	158	2	cos	cos	PROPN
ejpam-6340	158	3	(	(	PUNCT
ejpam-6340	158	4	2	2	NUM
ejpam-6340	158	5	λγ1	λγ1	NOUN
ejpam-6340	158	6	γ1	γ1	PROPN
ejpam-6340	158	7	)	)	PUNCT
ejpam-6340	158	8	sinh	sinh	PROPN
ejpam-6340	158	9	(	(	PUNCT
ejpam-6340	158	10	µγ2	µγ2	INTJ
ejpam-6340	158	11	γ2	γ2	NOUN
ejpam-6340	158	12	)	)	PUNCT
ejpam-6340	159	1	+	+	CCONJ
ejpam-6340	159	2	(	(	PUNCT
ejpam-6340	159	3	λγ1	λγ1	PROPN
ejpam-6340	159	4	γ1	γ1	PROPN
ejpam-6340	159	5	)	)	PUNCT
ejpam-6340	159	6	3	3	NUM
ejpam-6340	159	7	.	.	PUNCT
ejpam-6340	160	1	the	the	DET
ejpam-6340	160	2	following	follow	VERB
ejpam-6340	160	3	figures	figure	NOUN
ejpam-6340	160	4	show	show	VERB
ejpam-6340	160	5	the	the	DET
ejpam-6340	160	6	3d	3d	PROPN
ejpam-6340	160	7	representation	representation	NOUN
ejpam-6340	160	8	of	of	ADP
ejpam-6340	160	9	the	the	DET
ejpam-6340	160	10	solution	solution	NOUN
ejpam-6340	160	11	at	at	ADP
ejpam-6340	160	12	γ1	γ1	NOUN
ejpam-6340	160	13	=	=	SYM
ejpam-6340	160	14	γ2	γ2	NOUN
ejpam-6340	160	15	=	=	SYM
ejpam-6340	160	16	0.5	0.5	NUM
ejpam-6340	160	17	,	,	PUNCT
ejpam-6340	160	18	1	1	NUM
ejpam-6340	160	19	.	.	PUNCT
ejpam-6340	160	20	m.	m.	PROPN
ejpam-6340	160	21	al	al	PROPN
ejpam-6340	160	22	-	-	PUNCT
ejpam-6340	160	23	momani	momani	PROPN
ejpam-6340	160	24	,	,	PUNCT
ejpam-6340	160	25	b.	b.	PROPN
ejpam-6340	160	26	abughazaleh	abughazaleh	PROPN
ejpam-6340	160	27	/	/	SYM
ejpam-6340	160	28	eur	eur	PROPN
ejpam-6340	160	29	.	.	PUNCT
ejpam-6340	161	1	j.	j.	PROPN
ejpam-6340	161	2	pure	pure	PROPN
ejpam-6340	161	3	appl	appl	PROPN
ejpam-6340	161	4	.	.	PROPN
ejpam-6340	161	5	math	math	PROPN
ejpam-6340	161	6	,	,	PUNCT
ejpam-6340	161	7	18	18	NUM
ejpam-6340	161	8	(	(	PUNCT
ejpam-6340	161	9	4	4	NUM
ejpam-6340	161	10	)	)	PUNCT
ejpam-6340	161	11	(	(	PUNCT
ejpam-6340	161	12	2025	2025	NUM
ejpam-6340	161	13	)	)	PUNCT
ejpam-6340	161	14	,	,	PUNCT
ejpam-6340	161	15	6340	6340	NUM
ejpam-6340	161	16	8	8	NUM
ejpam-6340	161	17	of	of	ADP
ejpam-6340	161	18	12	12	NUM
ejpam-6340	161	19	the	the	DET
ejpam-6340	161	20	following	follow	VERB
ejpam-6340	161	21	two	two	NUM
ejpam-6340	161	22	figures	figure	NOUN
ejpam-6340	161	23	illustrates	illustrate	VERB
ejpam-6340	161	24	the	the	DET
ejpam-6340	161	25	2d	2d	NUM
ejpam-6340	161	26	graph	graph	NOUN
ejpam-6340	161	27	of	of	ADP
ejpam-6340	161	28	the	the	DET
ejpam-6340	161	29	solution	solution	NOUN
ejpam-6340	161	30	with	with	ADP
ejpam-6340	161	31	respect	respect	NOUN
ejpam-6340	161	32	to	to	ADP
ejpam-6340	161	33	λ	λ	PROPN
ejpam-6340	161	34	and	and	CCONJ
ejpam-6340	161	35	µ	µ	X
ejpam-6340	161	36	at	at	ADP
ejpam-6340	161	37	γ1	γ1	NOUN
ejpam-6340	161	38	=	=	SYM
ejpam-6340	161	39	γ2	γ2	PROPN
ejpam-6340	161	40	=	=	NUM
ejpam-6340	161	41	0.3	0.3	NUM
ejpam-6340	161	42	,	,	PUNCT
ejpam-6340	161	43	0.7	0.7	NUM
ejpam-6340	161	44	,	,	PUNCT
ejpam-6340	161	45	1	1	NUM
ejpam-6340	161	46	.	.	PUNCT
ejpam-6340	161	47	m.	m.	PROPN
ejpam-6340	161	48	al	al	PROPN
ejpam-6340	161	49	-	-	PUNCT
ejpam-6340	161	50	momani	momani	PROPN
ejpam-6340	161	51	,	,	PUNCT
ejpam-6340	161	52	b.	b.	PROPN
ejpam-6340	161	53	abughazaleh	abughazaleh	PROPN
ejpam-6340	161	54	/	/	SYM
ejpam-6340	161	55	eur	eur	PROPN
ejpam-6340	161	56	.	.	PUNCT
ejpam-6340	162	1	j.	j.	PROPN
ejpam-6340	162	2	pure	pure	PROPN
ejpam-6340	162	3	appl	appl	PROPN
ejpam-6340	162	4	.	.	PROPN
ejpam-6340	162	5	math	math	PROPN
ejpam-6340	162	6	,	,	PUNCT
ejpam-6340	162	7	18	18	NUM
ejpam-6340	162	8	(	(	PUNCT
ejpam-6340	162	9	4	4	NUM
ejpam-6340	162	10	)	)	PUNCT
ejpam-6340	162	11	(	(	PUNCT
ejpam-6340	162	12	2025	2025	NUM
ejpam-6340	162	13	)	)	PUNCT
ejpam-6340	162	14	,	,	PUNCT
ejpam-6340	162	15	6340	6340	NUM
ejpam-6340	162	16	9	9	NUM
ejpam-6340	162	17	of	of	ADP
ejpam-6340	162	18	12	12	NUM
ejpam-6340	162	19	example	example	NOUN
ejpam-6340	162	20	2	2	NUM
ejpam-6340	162	21	.	.	X
ejpam-6340	162	22	consider	consider	VERB
ejpam-6340	162	23	the	the	DET
ejpam-6340	162	24	conformable	conformable	ADJ
ejpam-6340	162	25	heat	heat	NOUN
ejpam-6340	162	26	equation	equation	NOUN
ejpam-6340	162	27	∂γ1r(λ	∂γ1r(λ	NOUN
ejpam-6340	162	28	,	,	PUNCT
ejpam-6340	162	29	µ	µ	NOUN
ejpam-6340	162	30	)	)	PUNCT
ejpam-6340	162	31	∂λγ1	∂λγ1	NOUN
ejpam-6340	162	32	=	=	SYM
ejpam-6340	162	33	∂2γ2r(λ	∂2γ2r(λ	PROPN
ejpam-6340	162	34	,	,	PUNCT
ejpam-6340	162	35	µ	µ	NOUN
ejpam-6340	162	36	)	)	PUNCT
ejpam-6340	162	37	∂µ2γ2	∂µ2γ2	PROPN
ejpam-6340	162	38	−	−	PROPN
ejpam-6340	163	1	3	3	NUM
ejpam-6340	163	2	,	,	PUNCT
ejpam-6340	163	3	where	where	SCONJ
ejpam-6340	163	4	λ	λ	PROPN
ejpam-6340	163	5	,	,	PUNCT
ejpam-6340	163	6	µ	µ	PRON
ejpam-6340	163	7	≥	≥	NOUN
ejpam-6340	163	8	0	0	NUM
ejpam-6340	163	9	(	(	PUNCT
ejpam-6340	163	10	7	7	NUM
ejpam-6340	163	11	)	)	PUNCT
ejpam-6340	163	12	with	with	ADP
ejpam-6340	163	13	ic	ic	PROPN
ejpam-6340	163	14	r(λ	r(λ	PROPN
ejpam-6340	163	15	,	,	PUNCT
ejpam-6340	163	16	0	0	NUM
ejpam-6340	163	17	)	)	PUNCT
ejpam-6340	163	18	=	=	SYM
ejpam-6340	163	19	−3λγ1	−3λγ1	NOUN
ejpam-6340	163	20	γ1	γ1	NOUN
ejpam-6340	163	21	,	,	PUNCT
ejpam-6340	163	22	∂γ2r(λ,0	∂γ2r(λ,0	PROPN
ejpam-6340	163	23	)	)	PUNCT
ejpam-6340	163	24	∂µγ2	∂µγ2	PROPN
ejpam-6340	163	25	=	=	SYM
ejpam-6340	163	26	e	e	PROPN
ejpam-6340	163	27	−λγ1	−λγ1	PROPN
ejpam-6340	163	28	γ1	γ1	NOUN
ejpam-6340	163	29	,	,	PUNCT
ejpam-6340	163	30	and	and	CCONJ
ejpam-6340	163	31	bcs	bcs	NOUN
ejpam-6340	163	32	r	r	NOUN
ejpam-6340	163	33	(	(	PUNCT
ejpam-6340	163	34	0	0	NUM
ejpam-6340	163	35	,	,	PUNCT
ejpam-6340	163	36	µ	µ	NOUN
ejpam-6340	163	37	)	)	PUNCT
ejpam-6340	163	38	=	=	VERB
ejpam-6340	163	39	sin	sin	NOUN
ejpam-6340	163	40	(	(	PUNCT
ejpam-6340	163	41	µγ2	µγ2	NOUN
ejpam-6340	163	42	γ2	γ2	NOUN
ejpam-6340	163	43	)	)	PUNCT
ejpam-6340	163	44	.	.	PUNCT
ejpam-6340	164	1	solution	solution	NOUN
ejpam-6340	164	2	2	2	NUM
ejpam-6340	164	3	.	.	PUNCT
ejpam-6340	164	4	by	by	ADP
ejpam-6340	164	5	applying	apply	VERB
ejpam-6340	164	6	the	the	DET
ejpam-6340	164	7	cl	cl	NOUN
ejpam-6340	164	8	to	to	ADP
ejpam-6340	164	9	the	the	DET
ejpam-6340	164	10	ic	ic	PROPN
ejpam-6340	164	11	and	and	CCONJ
ejpam-6340	164	12	the	the	DET
ejpam-6340	164	13	csh	csh	NOUN
ejpam-6340	164	14	to	to	ADP
ejpam-6340	164	15	the	the	DET
ejpam-6340	164	16	bcs	bc	NOUN
ejpam-6340	164	17	,	,	PUNCT
ejpam-6340	164	18	we	we	PRON
ejpam-6340	164	19	get	get	VERB
ejpam-6340	164	20	lγ1	lγ1	ADJ
ejpam-6340	164	21	λ	λ	PROPN
ejpam-6340	164	22	(	(	PUNCT
ejpam-6340	164	23	−3λγ1	−3λγ1	NOUN
ejpam-6340	164	24	γ1	γ1	NOUN
ejpam-6340	164	25	)	)	PUNCT
ejpam-6340	165	1	=	=	PUNCT
ejpam-6340	166	1	−3	−3	PROPN
ejpam-6340	166	2	ς2	ς2	PROPN
ejpam-6340	166	3	,	,	PUNCT
ejpam-6340	166	4	lγ1	lγ1	PROPN
ejpam-6340	166	5	λ	λ	X
ejpam-6340	166	6	(	(	PUNCT
ejpam-6340	166	7	e	e	NOUN
ejpam-6340	166	8	−λγ1	−λγ1	PROPN
ejpam-6340	166	9	γ1	γ1	PROPN
ejpam-6340	166	10	)	)	PUNCT
ejpam-6340	166	11	=	=	PUNCT
ejpam-6340	166	12	1	1	NUM
ejpam-6340	166	13	ς+1	ς+1	NUM
ejpam-6340	166	14	,	,	PUNCT
ejpam-6340	166	15	h	h	PROPN
ejpam-6340	166	16	γ2	γ2	PROPN
ejpam-6340	166	17	µ	µ	X
ejpam-6340	166	18	(	(	PUNCT
ejpam-6340	166	19	sin	sin	NOUN
ejpam-6340	166	20	(	(	PUNCT
ejpam-6340	166	21	µγ2	µγ2	NOUN
ejpam-6340	166	22	γ2	γ2	NOUN
ejpam-6340	166	23	)	)	PUNCT
ejpam-6340	166	24	)	)	PUNCT
ejpam-6340	167	1	=	=	SYM
ejpam-6340	167	2	υ2	υ2	NOUN
ejpam-6340	167	3	τ2+υ2	τ2+υ2	PROPN
ejpam-6340	167	4	.	.	PUNCT
ejpam-6340	167	5	apply	apply	VERB
ejpam-6340	167	6	the	the	DET
ejpam-6340	167	7	cl	cl	NOUN
ejpam-6340	167	8	-	-	PUNCT
ejpam-6340	167	9	sh	sh	NOUN
ejpam-6340	167	10	to	to	ADP
ejpam-6340	167	11	equation	equation	NOUN
ejpam-6340	167	12	7	7	NUM
ejpam-6340	167	13	,	,	PUNCT
ejpam-6340	167	14	we	we	PRON
ejpam-6340	167	15	get	get	VERB
ejpam-6340	167	16	ςr−	ςr−	NUM
ejpam-6340	167	17	υ2	υ2	NOUN
ejpam-6340	167	18	τ2	τ2	NOUN
ejpam-6340	167	19	+	+	CCONJ
ejpam-6340	167	20	υ2	υ2	NOUN
ejpam-6340	167	21	=	=	SYM
ejpam-6340	167	22	τ2	τ2	NOUN
ejpam-6340	167	23	υ2	υ2	NOUN
ejpam-6340	167	24	r+	r+	PUNCT
ejpam-6340	167	25	3τ	3τ	NUM
ejpam-6340	167	26	ς2υ	ς2υ	NOUN
ejpam-6340	167	27	−	−	PROPN
ejpam-6340	167	28	1	1	NUM
ejpam-6340	167	29	ς	ς	PROPN
ejpam-6340	167	30	+	+	NOUN
ejpam-6340	167	31	1	1	NUM
ejpam-6340	167	32	−	−	PROPN
ejpam-6340	167	33	3υ	3υ	NOUN
ejpam-6340	167	34	ςτ	ςτ	NOUN
ejpam-6340	167	35	.	.	PUNCT
ejpam-6340	168	1	so	so	ADV
ejpam-6340	168	2	,	,	PUNCT
ejpam-6340	168	3	r(ς	r(ς	ADJ
ejpam-6340	168	4	,	,	PUNCT
ejpam-6340	168	5	υ	υ	NOUN
ejpam-6340	168	6	)	)	PUNCT
ejpam-6340	168	7	=	=	SYM
ejpam-6340	168	8	υ2	υ2	NOUN
ejpam-6340	168	9	τ2+υ2	τ2+υ2	NUM
ejpam-6340	168	10	+	+	NUM
ejpam-6340	168	11	3τ	3τ	PROPN
ejpam-6340	168	12	ς2υ	ς2υ	NOUN
ejpam-6340	168	13	−	−	PROPN
ejpam-6340	168	14	1	1	NUM
ejpam-6340	168	15	ς+1	ς+1	NUM
ejpam-6340	168	16	−	−	PROPN
ejpam-6340	169	1	3υ	3υ	NOUN
ejpam-6340	169	2	ςτ	ςτ	NOUN
ejpam-6340	169	3	ς	ς	X
ejpam-6340	169	4	−	−	NOUN
ejpam-6340	169	5	τ2	τ2	NOUN
ejpam-6340	169	6	υ2	υ2	NOUN
ejpam-6340	169	7	.	.	PUNCT
ejpam-6340	170	1	by	by	ADP
ejpam-6340	170	2	simplify	simplify	NOUN
ejpam-6340	170	3	,	,	PUNCT
ejpam-6340	170	4	r(ς	r(ς	ADJ
ejpam-6340	170	5	,	,	PUNCT
ejpam-6340	170	6	υ	υ	NOUN
ejpam-6340	170	7	)	)	PUNCT
ejpam-6340	170	8	=	=	SYM
ejpam-6340	170	9	υ2	υ2	NOUN
ejpam-6340	170	10	(	(	PUNCT
ejpam-6340	170	11	ς	ς	PROPN
ejpam-6340	170	12	+	+	PROPN
ejpam-6340	170	13	1	1	NUM
ejpam-6340	170	14	)	)	PUNCT
ejpam-6340	170	15	(	(	PUNCT
ejpam-6340	170	16	τ2	τ2	NOUN
ejpam-6340	170	17	+	+	NUM
ejpam-6340	170	18	υ2	υ2	NOUN
ejpam-6340	170	19	)	)	PUNCT
ejpam-6340	170	20	−	−	PROPN
ejpam-6340	170	21	3υ	3υ	NOUN
ejpam-6340	170	22	ς2τ	ς2τ	NOUN
ejpam-6340	170	23	.	.	PUNCT
ejpam-6340	171	1	so	so	ADV
ejpam-6340	171	2	,	,	PUNCT
ejpam-6340	171	3	r(λ	r(λ	PROPN
ejpam-6340	171	4	,	,	PUNCT
ejpam-6340	171	5	µ	µ	NOUN
ejpam-6340	171	6	)	)	PUNCT
ejpam-6340	171	7	=	=	PUNCT
ejpam-6340	171	8	(	(	PUNCT
ejpam-6340	171	9	lγ1	lγ1	PROPN
ejpam-6340	171	10	λ	λ	NOUN
ejpam-6340	171	11	)	)	PUNCT
ejpam-6340	171	12	−1	−1	NOUN
ejpam-6340	171	13	(	(	PUNCT
ejpam-6340	171	14	hγ2	hγ2	NOUN
ejpam-6340	171	15	µ	µ	X
ejpam-6340	171	16	)	)	PUNCT
ejpam-6340	171	17	−1	−1	NOUN
ejpam-6340	171	18	(	(	PUNCT
ejpam-6340	171	19	υ2	υ2	NOUN
ejpam-6340	171	20	(	(	PUNCT
ejpam-6340	171	21	ς	ς	PROPN
ejpam-6340	171	22	+	+	PROPN
ejpam-6340	171	23	1	1	NUM
ejpam-6340	171	24	)	)	PUNCT
ejpam-6340	171	25	(	(	PUNCT
ejpam-6340	171	26	τ2	τ2	NOUN
ejpam-6340	171	27	+	+	NUM
ejpam-6340	171	28	υ2	υ2	NOUN
ejpam-6340	171	29	)	)	PUNCT
ejpam-6340	171	30	−	−	PROPN
ejpam-6340	171	31	3υ	3υ	NOUN
ejpam-6340	171	32	ς2τ	ς2τ	NOUN
ejpam-6340	171	33	)	)	PUNCT
ejpam-6340	172	1	=	=	PUNCT
ejpam-6340	172	2	e	e	X
ejpam-6340	172	3	−λγ1	−λγ1	PROPN
ejpam-6340	172	4	γ1	γ1	NOUN
ejpam-6340	172	5	sin	sin	NOUN
ejpam-6340	172	6	(	(	PUNCT
ejpam-6340	172	7	µγ2	µγ2	NOUN
ejpam-6340	172	8	γ2	γ2	NOUN
ejpam-6340	172	9	)	)	PUNCT
ejpam-6340	172	10	−	−	PROPN
ejpam-6340	172	11	3	3	NUM
ejpam-6340	172	12	λγ1	λγ1	PROPN
ejpam-6340	172	13	γ1	γ1	PROPN
ejpam-6340	172	14	.	.	PUNCT
ejpam-6340	173	1	m.	m.	PROPN
ejpam-6340	173	2	al	al	PROPN
ejpam-6340	173	3	-	-	PUNCT
ejpam-6340	173	4	momani	momani	PROPN
ejpam-6340	173	5	,	,	PUNCT
ejpam-6340	173	6	b.	b.	PROPN
ejpam-6340	173	7	abughazaleh	abughazaleh	PROPN
ejpam-6340	173	8	/	/	SYM
ejpam-6340	173	9	eur	eur	PROPN
ejpam-6340	173	10	.	.	PUNCT
ejpam-6340	174	1	j.	j.	PROPN
ejpam-6340	174	2	pure	pure	PROPN
ejpam-6340	174	3	appl	appl	PROPN
ejpam-6340	174	4	.	.	PROPN
ejpam-6340	174	5	math	math	PROPN
ejpam-6340	174	6	,	,	PUNCT
ejpam-6340	174	7	18	18	NUM
ejpam-6340	174	8	(	(	PUNCT
ejpam-6340	174	9	4	4	NUM
ejpam-6340	174	10	)	)	PUNCT
ejpam-6340	174	11	(	(	PUNCT
ejpam-6340	174	12	2025	2025	NUM
ejpam-6340	174	13	)	)	PUNCT
ejpam-6340	174	14	,	,	PUNCT
ejpam-6340	174	15	6340	6340	NUM
ejpam-6340	174	16	10	10	NUM
ejpam-6340	174	17	of	of	ADP
ejpam-6340	174	18	12	12	NUM
ejpam-6340	174	19	the	the	DET
ejpam-6340	174	20	following	follow	VERB
ejpam-6340	174	21	figures	figure	NOUN
ejpam-6340	174	22	show	show	VERB
ejpam-6340	174	23	the	the	DET
ejpam-6340	174	24	3d	3d	PROPN
ejpam-6340	174	25	representation	representation	NOUN
ejpam-6340	174	26	of	of	ADP
ejpam-6340	174	27	the	the	DET
ejpam-6340	174	28	solution	solution	NOUN
ejpam-6340	174	29	at	at	ADP
ejpam-6340	174	30	γ1	γ1	NOUN
ejpam-6340	174	31	=	=	SYM
ejpam-6340	174	32	γ2	γ2	NOUN
ejpam-6340	174	33	=	=	NUM
ejpam-6340	174	34	0.8	0.8	NUM
ejpam-6340	174	35	,	,	PUNCT
ejpam-6340	174	36	1	1	NUM
ejpam-6340	174	37	.	.	PUNCT
ejpam-6340	175	1	the	the	DET
ejpam-6340	175	2	following	follow	VERB
ejpam-6340	175	3	two	two	NUM
ejpam-6340	175	4	figures	figure	NOUN
ejpam-6340	175	5	illustrates	illustrate	VERB
ejpam-6340	175	6	the	the	DET
ejpam-6340	175	7	2d	2d	NUM
ejpam-6340	175	8	graph	graph	NOUN
ejpam-6340	175	9	of	of	ADP
ejpam-6340	175	10	the	the	DET
ejpam-6340	175	11	solution	solution	NOUN
ejpam-6340	175	12	with	with	ADP
ejpam-6340	175	13	respect	respect	NOUN
ejpam-6340	175	14	to	to	ADP
ejpam-6340	175	15	λ	λ	PROPN
ejpam-6340	175	16	and	and	CCONJ
ejpam-6340	175	17	µ	µ	X
ejpam-6340	175	18	at	at	ADP
ejpam-6340	175	19	γ1	γ1	NOUN
ejpam-6340	175	20	=	=	SYM
ejpam-6340	175	21	γ2	γ2	NOUN
ejpam-6340	175	22	=	=	SYM
ejpam-6340	175	23	0.5	0.5	NUM
ejpam-6340	175	24	,	,	PUNCT
ejpam-6340	175	25	0.75	0.75	NUM
ejpam-6340	175	26	,	,	PUNCT
ejpam-6340	175	27	1	1	NUM
ejpam-6340	175	28	.	.	PUNCT
ejpam-6340	175	29	m.	m.	PROPN
ejpam-6340	175	30	al	al	PROPN
ejpam-6340	175	31	-	-	PUNCT
ejpam-6340	175	32	momani	momani	PROPN
ejpam-6340	175	33	,	,	PUNCT
ejpam-6340	175	34	b.	b.	PROPN
ejpam-6340	175	35	abughazaleh	abughazaleh	PROPN
ejpam-6340	175	36	/	/	SYM
ejpam-6340	175	37	eur	eur	PROPN
ejpam-6340	175	38	.	.	PUNCT
ejpam-6340	176	1	j.	j.	PROPN
ejpam-6340	176	2	pure	pure	PROPN
ejpam-6340	176	3	appl	appl	PROPN
ejpam-6340	176	4	.	.	PROPN
ejpam-6340	176	5	math	math	PROPN
ejpam-6340	176	6	,	,	PUNCT
ejpam-6340	176	7	18	18	NUM
ejpam-6340	176	8	(	(	PUNCT
ejpam-6340	176	9	4	4	NUM
ejpam-6340	176	10	)	)	PUNCT
ejpam-6340	176	11	(	(	PUNCT
ejpam-6340	176	12	2025	2025	NUM
ejpam-6340	176	13	)	)	PUNCT
ejpam-6340	176	14	,	,	PUNCT
ejpam-6340	176	15	6340	6340	NUM
ejpam-6340	176	16	11	11	NUM
ejpam-6340	176	17	of	of	ADP
ejpam-6340	176	18	12	12	NUM
ejpam-6340	176	19	5	5	NUM
ejpam-6340	176	20	.	.	PUNCT
ejpam-6340	177	1	conclusion	conclusion	NOUN
ejpam-6340	177	2	we	we	PRON
ejpam-6340	177	3	introduced	introduce	VERB
ejpam-6340	177	4	a	a	DET
ejpam-6340	177	5	new	new	ADJ
ejpam-6340	177	6	double	double	ADJ
ejpam-6340	177	7	transform	transform	NOUN
ejpam-6340	177	8	based	base	VERB
ejpam-6340	177	9	on	on	ADP
ejpam-6340	177	10	the	the	DET
ejpam-6340	177	11	conformable	conformable	ADJ
ejpam-6340	177	12	approach	approach	NOUN
ejpam-6340	177	13	.	.	PUNCT
ejpam-6340	178	1	we	we	PRON
ejpam-6340	178	2	showed	show	VERB
ejpam-6340	178	3	that	that	SCONJ
ejpam-6340	178	4	it	it	PRON
ejpam-6340	178	5	works	work	VERB
ejpam-6340	178	6	well	well	ADV
ejpam-6340	178	7	for	for	ADP
ejpam-6340	178	8	solving	solve	VERB
ejpam-6340	178	9	fractional	fractional	ADJ
ejpam-6340	178	10	differential	differential	ADJ
ejpam-6340	178	11	equations	equation	NOUN
ejpam-6340	178	12	.	.	PUNCT
ejpam-6340	179	1	the	the	DET
ejpam-6340	179	2	examples	example	NOUN
ejpam-6340	179	3	we	we	PRON
ejpam-6340	179	4	gave	give	VERB
ejpam-6340	179	5	proved	prove	VERB
ejpam-6340	179	6	that	that	SCONJ
ejpam-6340	179	7	the	the	DET
ejpam-6340	179	8	method	method	NOUN
ejpam-6340	179	9	is	be	AUX
ejpam-6340	179	10	simple	simple	ADJ
ejpam-6340	179	11	and	and	CCONJ
ejpam-6340	179	12	gives	give	VERB
ejpam-6340	179	13	correct	correct	ADJ
ejpam-6340	179	14	results	result	NOUN
ejpam-6340	179	15	.	.	PUNCT
ejpam-6340	180	1	this	this	PRON
ejpam-6340	180	2	shows	show	VERB
ejpam-6340	180	3	that	that	SCONJ
ejpam-6340	180	4	the	the	DET
ejpam-6340	180	5	cl	cl	NOUN
ejpam-6340	180	6	-	-	PUNCT
ejpam-6340	180	7	sh	sh	PROPN
ejpam-6340	180	8	is	be	AUX
ejpam-6340	180	9	a	a	DET
ejpam-6340	180	10	helpful	helpful	ADJ
ejpam-6340	180	11	tool	tool	NOUN
ejpam-6340	180	12	in	in	ADP
ejpam-6340	180	13	this	this	DET
ejpam-6340	180	14	area	area	NOUN
ejpam-6340	180	15	.	.	PUNCT
ejpam-6340	181	1	future	future	ADJ
ejpam-6340	181	2	work	work	NOUN
ejpam-6340	181	3	may	may	AUX
ejpam-6340	181	4	include	include	VERB
ejpam-6340	181	5	other	other	ADJ
ejpam-6340	181	6	equations	equation	NOUN
ejpam-6340	181	7	and	and	CCONJ
ejpam-6340	181	8	systems	system	NOUN
ejpam-6340	181	9	.	.	PUNCT
ejpam-6340	182	1	references	reference	NOUN
ejpam-6340	182	2	[	[	X
ejpam-6340	182	3	1	1	NUM
ejpam-6340	182	4	]	]	PUNCT
ejpam-6340	182	5	r.	r.	PROPN
ejpam-6340	182	6	khalil	khalil	PROPN
ejpam-6340	182	7	,	,	PUNCT
ejpam-6340	182	8	m.	m.	PROPN
ejpam-6340	182	9	al	al	PROPN
ejpam-6340	182	10	horani	horani	PROPN
ejpam-6340	182	11	,	,	PUNCT
ejpam-6340	182	12	a.	a.	NOUN
ejpam-6340	182	13	yousef	yousef	PROPN
ejpam-6340	182	14	,	,	PUNCT
ejpam-6340	182	15	and	and	CCONJ
ejpam-6340	182	16	m.	m.	NOUN
ejpam-6340	182	17	sababheh	sababheh	NOUN
ejpam-6340	182	18	.	.	PUNCT
ejpam-6340	183	1	a	a	DET
ejpam-6340	183	2	new	new	ADJ
ejpam-6340	183	3	definition	definition	NOUN
ejpam-6340	183	4	of	of	ADP
ejpam-6340	183	5	fractional	fractional	ADJ
ejpam-6340	183	6	derivative	derivative	NOUN
ejpam-6340	183	7	.	.	PUNCT
ejpam-6340	184	1	journal	journal	PROPN
ejpam-6340	184	2	of	of	ADP
ejpam-6340	184	3	computational	computational	ADJ
ejpam-6340	184	4	and	and	CCONJ
ejpam-6340	184	5	applied	applied	ADJ
ejpam-6340	184	6	mathematics	mathematic	NOUN
ejpam-6340	184	7	,	,	PUNCT
ejpam-6340	184	8	264:65–70	264:65–70	NUM
ejpam-6340	184	9	,	,	PUNCT
ejpam-6340	184	10	2014	2014	NUM
ejpam-6340	184	11	.	.	PUNCT
ejpam-6340	185	1	[	[	X
ejpam-6340	185	2	2	2	X
ejpam-6340	185	3	]	]	PUNCT
ejpam-6340	185	4	f.	f.	PROPN
ejpam-6340	185	5	s.	s.	PROPN
ejpam-6340	185	6	silva	silva	PROPN
ejpam-6340	185	7	,	,	PUNCT
ejpam-6340	185	8	d.	d.	PROPN
ejpam-6340	185	9	m.	m.	PROPN
ejpam-6340	185	10	moreira	moreira	PROPN
ejpam-6340	185	11	,	,	PUNCT
ejpam-6340	185	12	and	and	CCONJ
ejpam-6340	185	13	m.	m.	NOUN
ejpam-6340	185	14	a.	a.	PROPN
ejpam-6340	185	15	moret	moret	PROPN
ejpam-6340	185	16	.	.	PUNCT
ejpam-6340	186	1	conformable	conformable	ADJ
ejpam-6340	186	2	laplace	laplace	NOUN
ejpam-6340	186	3	transform	transform	NOUN
ejpam-6340	186	4	of	of	ADP
ejpam-6340	186	5	fractional	fractional	ADJ
ejpam-6340	186	6	differential	differential	ADJ
ejpam-6340	186	7	equations	equation	NOUN
ejpam-6340	186	8	.	.	PUNCT
ejpam-6340	187	1	axioms	axiom	NOUN
ejpam-6340	187	2	,	,	PUNCT
ejpam-6340	187	3	7(3):55	7(3):55	NUM
ejpam-6340	187	4	,	,	PUNCT
ejpam-6340	187	5	2018	2018	NUM
ejpam-6340	187	6	.	.	PUNCT
ejpam-6340	188	1	[	[	X
ejpam-6340	188	2	3	3	X
ejpam-6340	188	3	]	]	X
ejpam-6340	188	4	o.	o.	NOUN
ejpam-6340	188	5	özkan	özkan	PROPN
ejpam-6340	188	6	and	and	CCONJ
ejpam-6340	188	7	a.	a.	NOUN
ejpam-6340	188	8	kurt	kurt	PROPN
ejpam-6340	188	9	.	.	PUNCT
ejpam-6340	189	1	on	on	ADP
ejpam-6340	189	2	conformable	conformable	ADJ
ejpam-6340	189	3	double	double	ADJ
ejpam-6340	189	4	laplace	laplace	NOUN
ejpam-6340	189	5	transform	transform	NOUN
ejpam-6340	189	6	.	.	PUNCT
ejpam-6340	190	1	optical	optical	ADJ
ejpam-6340	190	2	and	and	CCONJ
ejpam-6340	190	3	quantum	quantum	NOUN
ejpam-6340	190	4	electronics	electronic	NOUN
ejpam-6340	190	5	,	,	PUNCT
ejpam-6340	190	6	50:1–9	50:1–9	NUM
ejpam-6340	190	7	,	,	PUNCT
ejpam-6340	190	8	2018	2018	NUM
ejpam-6340	190	9	.	.	PUNCT
ejpam-6340	191	1	[	[	X
ejpam-6340	191	2	4	4	X
ejpam-6340	191	3	]	]	PUNCT
ejpam-6340	191	4	s.	s.	PROPN
ejpam-6340	191	5	alfaqeih	alfaqeih	PROPN
ejpam-6340	191	6	,	,	PUNCT
ejpam-6340	191	7	g.	g.	NOUN
ejpam-6340	191	8	bakıçıerler	bakıçıerler	NOUN
ejpam-6340	191	9	,	,	PUNCT
ejpam-6340	191	10	and	and	CCONJ
ejpam-6340	191	11	e.	e.	PROPN
ejpam-6340	191	12	misirli	misirli	PROPN
ejpam-6340	191	13	.	.	PUNCT
ejpam-6340	192	1	conformable	conformable	ADJ
ejpam-6340	192	2	double	double	ADJ
ejpam-6340	192	3	sumudu	sumudu	NOUN
ejpam-6340	192	4	transform	transform	NOUN
ejpam-6340	192	5	with	with	ADP
ejpam-6340	192	6	applications	application	NOUN
ejpam-6340	192	7	.	.	PUNCT
ejpam-6340	193	1	journal	journal	NOUN
ejpam-6340	193	2	of	of	ADP
ejpam-6340	193	3	applied	applied	ADJ
ejpam-6340	193	4	and	and	CCONJ
ejpam-6340	193	5	computational	computational	ADJ
ejpam-6340	193	6	mechanics	mechanic	NOUN
ejpam-6340	193	7	,	,	PUNCT
ejpam-6340	193	8	7(2):578–586	7(2):578–586	NOUN
ejpam-6340	193	9	,	,	PUNCT
ejpam-6340	193	10	2021	2021	NUM
ejpam-6340	193	11	.	.	PUNCT
ejpam-6340	194	1	[	[	X
ejpam-6340	194	2	5	5	NUM
ejpam-6340	194	3	]	]	PUNCT
ejpam-6340	194	4	r.	r.	PROPN
ejpam-6340	194	5	abu	abu	PROPN
ejpam-6340	194	6	awwad	awwad	PROPN
ejpam-6340	194	7	,	,	PUNCT
ejpam-6340	194	8	m.	m.	NOUN
ejpam-6340	194	9	al	al	PROPN
ejpam-6340	194	10	-	-	PUNCT
ejpam-6340	194	11	momani	momani	PROPN
ejpam-6340	194	12	,	,	PUNCT
ejpam-6340	194	13	b.	b.	PROPN
ejpam-6340	194	14	abughazaleh	abughazaleh	PROPN
ejpam-6340	194	15	,	,	PUNCT
ejpam-6340	194	16	a.	a.	PROPN
ejpam-6340	194	17	jaradat	jaradat	PROPN
ejpam-6340	194	18	,	,	PUNCT
ejpam-6340	194	19	and	and	CCONJ
ejpam-6340	194	20	a.	a.	PROPN
ejpam-6340	194	21	farah	farah	PROPN
ejpam-6340	194	22	.	.	PUNCT
ejpam-6340	195	1	the	the	DET
ejpam-6340	195	2	conformable	conformable	ADJ
ejpam-6340	195	3	double	double	ADJ
ejpam-6340	195	4	laplace	laplace	NOUN
ejpam-6340	195	5	-	-	PUNCT
ejpam-6340	195	6	sawi	sawi	NOUN
ejpam-6340	195	7	transform	transform	NOUN
ejpam-6340	195	8	.	.	PUNCT
ejpam-6340	196	1	european	european	PROPN
ejpam-6340	196	2	journal	journal	PROPN
ejpam-6340	196	3	of	of	ADP
ejpam-6340	196	4	pure	pure	ADJ
ejpam-6340	196	5	and	and	CCONJ
ejpam-6340	196	6	applied	applied	ADJ
ejpam-6340	196	7	mathematics	mathematic	NOUN
ejpam-6340	196	8	,	,	PUNCT
ejpam-6340	196	9	18(2):6034	18(2):6034	NUM
ejpam-6340	196	10	,	,	PUNCT
ejpam-6340	196	11	2025	2025	NUM
ejpam-6340	196	12	.	.	PUNCT
ejpam-6340	197	1	[	[	X
ejpam-6340	197	2	6	6	NUM
ejpam-6340	197	3	]	]	PUNCT
ejpam-6340	197	4	m.	m.	NOUN
ejpam-6340	197	5	al	al	PROPN
ejpam-6340	197	6	-	-	PUNCT
ejpam-6340	197	7	momani	momani	PROPN
ejpam-6340	197	8	,	,	PUNCT
ejpam-6340	197	9	a.	a.	PROPN
ejpam-6340	197	10	jaradat	jaradat	PROPN
ejpam-6340	197	11	,	,	PUNCT
ejpam-6340	197	12	b.	b.	PROPN
ejpam-6340	197	13	abughazaleh	abughazaleh	PROPN
ejpam-6340	197	14	,	,	PUNCT
ejpam-6340	197	15	and	and	CCONJ
ejpam-6340	197	16	a.	a.	PROPN
ejpam-6340	197	17	farah	farah	PROPN
ejpam-6340	197	18	.	.	PUNCT
ejpam-6340	198	1	the	the	DET
ejpam-6340	198	2	conformable	conformable	ADJ
ejpam-6340	198	3	double	double	ADJ
ejpam-6340	198	4	laplace	laplace	NOUN
ejpam-6340	198	5	-	-	PUNCT
ejpam-6340	198	6	sawi	sawi	NOUN
ejpam-6340	198	7	transform	transform	NOUN
ejpam-6340	198	8	.	.	PUNCT
ejpam-6340	199	1	european	european	PROPN
ejpam-6340	199	2	journal	journal	PROPN
ejpam-6340	199	3	of	of	ADP
ejpam-6340	199	4	pure	pure	ADJ
ejpam-6340	199	5	and	and	CCONJ
ejpam-6340	199	6	applied	applied	ADJ
ejpam-6340	199	7	mathematics	mathematic	NOUN
ejpam-6340	199	8	,	,	PUNCT
ejpam-6340	199	9	18(2):6099	18(2):6099	NUM
ejpam-6340	199	10	,	,	PUNCT
ejpam-6340	199	11	2025	2025	NUM
ejpam-6340	199	12	.	.	PUNCT
ejpam-6340	200	1	[	[	X
ejpam-6340	200	2	7	7	X
ejpam-6340	200	3	]	]	PUNCT
ejpam-6340	200	4	m.	m.	NOUN
ejpam-6340	200	5	al	al	PROPN
ejpam-6340	200	6	-	-	PUNCT
ejpam-6340	200	7	momani	momani	PROPN
ejpam-6340	200	8	and	and	CCONJ
ejpam-6340	200	9	b.	b.	PROPN
ejpam-6340	200	10	abughazaleh	abughazaleh	PROPN
ejpam-6340	200	11	.	.	PUNCT
ejpam-6340	201	1	the	the	DET
ejpam-6340	201	2	conformable	conformable	ADJ
ejpam-6340	201	3	double	double	ADJ
ejpam-6340	201	4	sumudu	sumudu	NOUN
ejpam-6340	201	5	-	-	PUNCT
ejpam-6340	201	6	shehu	shehu	NOUN
ejpam-6340	201	7	transm	transm	PROPN
ejpam-6340	201	8	.	.	PUNCT
ejpam-6340	202	1	al	al	PROPN
ejpam-6340	202	2	-	-	PUNCT
ejpam-6340	202	3	momani	momani	PROPN
ejpam-6340	202	4	,	,	PUNCT
ejpam-6340	202	5	b.	b.	PROPN
ejpam-6340	202	6	abughazaleh	abughazaleh	PROPN
ejpam-6340	202	7	/	/	SYM
ejpam-6340	202	8	eur	eur	PROPN
ejpam-6340	202	9	.	.	PUNCT
ejpam-6340	203	1	j.	j.	PROPN
ejpam-6340	203	2	pure	pure	PROPN
ejpam-6340	203	3	appl	appl	PROPN
ejpam-6340	203	4	.	.	PROPN
ejpam-6340	203	5	math	math	PROPN
ejpam-6340	203	6	,	,	PUNCT
ejpam-6340	203	7	18	18	NUM
ejpam-6340	203	8	(	(	PUNCT
ejpam-6340	203	9	4	4	NUM
ejpam-6340	203	10	)	)	PUNCT
ejpam-6340	203	11	(	(	PUNCT
ejpam-6340	203	12	2025	2025	NUM
ejpam-6340	203	13	)	)	PUNCT
ejpam-6340	203	14	,	,	PUNCT
ejpam-6340	203	15	6340	6340	NUM
ejpam-6340	203	16	12	12	NUM
ejpam-6340	203	17	of	of	ADP
ejpam-6340	203	18	12	12	NUM
ejpam-6340	203	19	form	form	NOUN
ejpam-6340	203	20	and	and	CCONJ
ejpam-6340	203	21	its	its	PRON
ejpam-6340	203	22	properties	property	NOUN
ejpam-6340	203	23	with	with	ADP
ejpam-6340	203	24	applications	application	NOUN
ejpam-6340	203	25	.	.	PUNCT
ejpam-6340	204	1	european	european	ADJ
ejpam-6340	204	2	journal	journal	PROPN
ejpam-6340	204	3	of	of	ADP
ejpam-6340	204	4	pure	pure	ADJ
ejpam-6340	204	5	and	and	CCONJ
ejpam-6340	204	6	applied	applied	ADJ
ejpam-6340	204	7	mathematics	mathematic	NOUN
ejpam-6340	204	8	,	,	PUNCT
ejpam-6340	204	9	18(3):6384	18(3):6384	NUM
ejpam-6340	204	10	,	,	PUNCT
ejpam-6340	204	11	2025	2025	NUM
ejpam-6340	204	12	.	.	PUNCT
ejpam-6340	205	1	[	[	X
ejpam-6340	205	2	8	8	NUM
ejpam-6340	205	3	]	]	X
ejpam-6340	205	4	m.	m.	NOUN
ejpam-6340	205	5	hunaiber	hunaiber	NOUN
ejpam-6340	205	6	and	and	CCONJ
ejpam-6340	205	7	a.	a.	PROPN
ejpam-6340	205	8	al	al	PROPN
ejpam-6340	205	9	-	-	PUNCT
ejpam-6340	205	10	aati	aati	PROPN
ejpam-6340	205	11	.	.	PUNCT
ejpam-6340	206	1	on	on	ADP
ejpam-6340	206	2	double	double	ADJ
ejpam-6340	206	3	laplace	laplace	NOUN
ejpam-6340	206	4	-	-	PUNCT
ejpam-6340	206	5	shehu	shehu	NOUN
ejpam-6340	206	6	transform	transform	NOUN
ejpam-6340	206	7	and	and	CCONJ
ejpam-6340	206	8	its	its	PRON
ejpam-6340	206	9	properties	property	NOUN
ejpam-6340	206	10	with	with	ADP
ejpam-6340	206	11	applications	application	NOUN
ejpam-6340	206	12	.	.	PUNCT
ejpam-6340	207	1	turkish	turkish	ADJ
ejpam-6340	207	2	journal	journal	NOUN
ejpam-6340	207	3	of	of	ADP
ejpam-6340	207	4	mathematics	mathematic	NOUN
ejpam-6340	207	5	and	and	CCONJ
ejpam-6340	207	6	computer	computer	NOUN
ejpam-6340	207	7	science	science	NOUN
ejpam-6340	207	8	,	,	PUNCT
ejpam-6340	207	9	15(2):218	15(2):218	NUM
ejpam-6340	207	10	–	–	PUNCT
ejpam-6340	207	11	226	226	NUM
ejpam-6340	207	12	,	,	PUNCT
ejpam-6340	207	13	2023	2023	NUM
ejpam-6340	207	14	.	.	PUNCT
ejpam-6340	208	1	[	[	X
ejpam-6340	208	2	9	9	NUM
ejpam-6340	208	3	]	]	PUNCT
ejpam-6340	208	4	m.	m.	NOUN
ejpam-6340	208	5	al	al	PROPN
ejpam-6340	208	6	-	-	PUNCT
ejpam-6340	208	7	momani	momani	PROPN
ejpam-6340	208	8	,	,	PUNCT
ejpam-6340	208	9	a.	a.	NOUN
ejpam-6340	208	10	jaradat	jaradat	PROPN
ejpam-6340	208	11	,	,	PUNCT
ejpam-6340	208	12	and	and	CCONJ
ejpam-6340	208	13	b.	b.	PROPN
ejpam-6340	208	14	abughazaleh	abughazaleh	PROPN
ejpam-6340	208	15	.	.	PUNCT
ejpam-6340	209	1	double	double	ADJ
ejpam-6340	209	2	laplace	laplace	NOUN
ejpam-6340	209	3	-	-	PUNCT
ejpam-6340	209	4	sawi	sawi	NOUN
ejpam-6340	209	5	transform	transform	NOUN
ejpam-6340	209	6	.	.	PUNCT
ejpam-6340	210	1	european	european	PROPN
ejpam-6340	210	2	journal	journal	PROPN
ejpam-6340	210	3	of	of	ADP
ejpam-6340	210	4	pure	pure	ADJ
ejpam-6340	210	5	and	and	CCONJ
ejpam-6340	210	6	applied	applied	ADJ
ejpam-6340	210	7	mathematics	mathematic	NOUN
ejpam-6340	210	8	,	,	PUNCT
ejpam-6340	210	9	18(1):5619	18(1):5619	NUM
ejpam-6340	210	10	,	,	PUNCT
ejpam-6340	210	11	2025	2025	NUM
ejpam-6340	210	12	.	.	PUNCT
ejpam-6340	211	1	[	[	X
ejpam-6340	211	2	10	10	NUM
ejpam-6340	211	3	]	]	PUNCT
ejpam-6340	211	4	m.	m.	NOUN
ejpam-6340	211	5	mahgoub	mahgoub	NOUN
ejpam-6340	211	6	and	and	CCONJ
ejpam-6340	211	7	m.	m.	NOUN
ejpam-6340	211	8	mohand	mohand	NOUN
ejpam-6340	211	9	.	.	PUNCT
ejpam-6340	212	1	the	the	DET
ejpam-6340	212	2	new	new	ADJ
ejpam-6340	212	3	integral	integral	ADJ
ejpam-6340	212	4	transform	transform	NOUN
ejpam-6340	212	5	“	"	PUNCT
ejpam-6340	212	6	sawi	sawi	ADJ
ejpam-6340	212	7	transform	transform	NOUN
ejpam-6340	212	8	”	"	PUNCT
ejpam-6340	212	9	.	.	PUNCT
ejpam-6340	213	1	advances	advance	NOUN
ejpam-6340	213	2	in	in	ADP
ejpam-6340	213	3	theoretical	theoretical	ADJ
ejpam-6340	213	4	and	and	CCONJ
ejpam-6340	213	5	applied	apply	VERB
ejpam-6340	213	6	mathematics	mathematic	NOUN
ejpam-6340	213	7	,	,	PUNCT
ejpam-6340	213	8	14(1):81–87	14(1):81–87	NUM
ejpam-6340	213	9	,	,	PUNCT
ejpam-6340	213	10	2019	2019	NUM
ejpam-6340	213	11	.	.	PUNCT
ejpam-6340	214	1	[	[	X
ejpam-6340	214	2	11	11	NUM
ejpam-6340	214	3	]	]	X
ejpam-6340	214	4	s.	s.	PROPN
ejpam-6340	214	5	khan	khan	PROPN
ejpam-6340	214	6	,	,	PUNCT
ejpam-6340	214	7	a.	a.	PROPN
ejpam-6340	214	8	ullah	ullah	PROPN
ejpam-6340	214	9	,	,	PUNCT
ejpam-6340	214	10	m.	m.	PROPN
ejpam-6340	214	11	de	de	PROPN
ejpam-6340	214	12	la	la	X
ejpam-6340	214	13	sen	sen	PROPN
ejpam-6340	214	14	,	,	PUNCT
ejpam-6340	214	15	and	and	CCONJ
ejpam-6340	214	16	s.	s.	PROPN
ejpam-6340	214	17	ahmad	ahmad	PROPN
ejpam-6340	214	18	.	.	PROPN
ejpam-6340	214	19	double	double	ADJ
ejpam-6340	214	20	sawi	sawi	PROPN
ejpam-6340	214	21	transform	transform	NOUN
ejpam-6340	214	22	:	:	PUNCT
ejpam-6340	214	23	theory	theory	NOUN
ejpam-6340	214	24	and	and	CCONJ
ejpam-6340	214	25	applications	application	NOUN
ejpam-6340	214	26	to	to	ADP
ejpam-6340	214	27	boundary	boundary	ADJ
ejpam-6340	214	28	values	value	NOUN
ejpam-6340	214	29	problems	problem	NOUN
ejpam-6340	214	30	.	.	PUNCT
ejpam-6340	215	1	symmetry	symmetry	NOUN
ejpam-6340	215	2	,	,	PUNCT
ejpam-6340	215	3	15(4):921	15(4):921	NUM
ejpam-6340	215	4	,	,	PUNCT
ejpam-6340	215	5	2023	2023	NUM
ejpam-6340	215	6	.	.	PUNCT
ejpam-6340	216	1	[	[	X
ejpam-6340	216	2	12	12	NUM
ejpam-6340	216	3	]	]	PUNCT
ejpam-6340	216	4	b.	b.	PROPN
ejpam-6340	216	5	abughazaleh	abughazaleh	PROPN
ejpam-6340	216	6	,	,	PUNCT
ejpam-6340	216	7	m.	m.	NOUN
ejpam-6340	216	8	a.	a.	PROPN
ejpam-6340	216	9	amleh	amleh	PROPN
ejpam-6340	216	10	,	,	PUNCT
ejpam-6340	216	11	a.	a.	PROPN
ejpam-6340	216	12	al	al	PROPN
ejpam-6340	216	13	-	-	PUNCT
ejpam-6340	216	14	natoor	natoor	NOUN
ejpam-6340	216	15	,	,	PUNCT
ejpam-6340	216	16	and	and	CCONJ
ejpam-6340	216	17	r.	r.	PROPN
ejpam-6340	216	18	saadeh	saadeh	PROPN
ejpam-6340	216	19	.	.	PUNCT
ejpam-6340	217	1	double	double	ADJ
ejpam-6340	217	2	mellin	mellin	PROPN
ejpam-6340	217	3	-	-	PUNCT
ejpam-6340	217	4	ara	ara	NOUN
ejpam-6340	217	5	transform	transform	NOUN
ejpam-6340	217	6	.	.	PUNCT
ejpam-6340	218	1	springer	springer	NOUN
ejpam-6340	218	2	proceedings	proceeding	NOUN
ejpam-6340	218	3	in	in	ADP
ejpam-6340	218	4	mathematics	mathematic	NOUN
ejpam-6340	218	5	and	and	CCONJ
ejpam-6340	218	6	statistics	statistic	NOUN
ejpam-6340	218	7	,	,	PUNCT
ejpam-6340	218	8	466:383–394	466:383–394	NUM
ejpam-6340	218	9	,	,	PUNCT
ejpam-6340	218	10	2024	2024	NUM
ejpam-6340	218	11	.	.	PUNCT
ejpam-6340	219	1	[	[	X
ejpam-6340	219	2	13	13	NUM
ejpam-6340	219	3	]	]	PUNCT
ejpam-6340	219	4	r.	r.	PROPN
ejpam-6340	219	5	abu	abu	PROPN
ejpam-6340	219	6	awwad	awwad	PROPN
ejpam-6340	219	7	,	,	PUNCT
ejpam-6340	219	8	m.	m.	NOUN
ejpam-6340	219	9	al	al	PROPN
ejpam-6340	219	10	-	-	PUNCT
ejpam-6340	219	11	momani	momani	PROPN
ejpam-6340	219	12	,	,	PUNCT
ejpam-6340	219	13	b.	b.	PROPN
ejpam-6340	219	14	abughazaleh	abughazaleh	PROPN
ejpam-6340	219	15	,	,	PUNCT
ejpam-6340	219	16	a.	a.	PROPN
ejpam-6340	219	17	jaradat	jaradat	PROPN
ejpam-6340	219	18	,	,	PUNCT
ejpam-6340	219	19	and	and	CCONJ
ejpam-6340	219	20	a.	a.	PROPN
ejpam-6340	219	21	farah	farah	PROPN
ejpam-6340	219	22	.	.	PUNCT
ejpam-6340	220	1	the	the	DET
ejpam-6340	220	2	double	double	ADJ
ejpam-6340	220	3	sumudu	sumudu	NOUN
ejpam-6340	220	4	-	-	PUNCT
ejpam-6340	220	5	sawi	sawi	NOUN
ejpam-6340	220	6	transform	transform	NOUN
ejpam-6340	220	7	.	.	PUNCT
ejpam-6340	221	1	european	european	PROPN
ejpam-6340	221	2	journal	journal	PROPN
ejpam-6340	221	3	of	of	ADP
ejpam-6340	221	4	pure	pure	ADJ
ejpam-6340	221	5	and	and	CCONJ
ejpam-6340	221	6	applied	applied	ADJ
ejpam-6340	221	7	mathematics	mathematic	NOUN
ejpam-6340	221	8	,	,	PUNCT
ejpam-6340	221	9	18(2):5967	18(2):5967	NUM
ejpam-6340	221	10	,	,	PUNCT
ejpam-6340	221	11	2025	2025	NUM
ejpam-6340	221	12	.	.	PUNCT
ejpam-6340	222	1	[	[	X
ejpam-6340	222	2	14	14	NUM
ejpam-6340	222	3	]	]	X
ejpam-6340	222	4	r.	r.	PROPN
ejpam-6340	222	5	abu	abu	PROPN
ejpam-6340	222	6	awwad	awwad	PROPN
ejpam-6340	222	7	,	,	PUNCT
ejpam-6340	222	8	m.	m.	NOUN
ejpam-6340	222	9	al	al	PROPN
ejpam-6340	222	10	-	-	PUNCT
ejpam-6340	222	11	momani	momani	PROPN
ejpam-6340	222	12	,	,	PUNCT
ejpam-6340	222	13	a.	a.	PROPN
ejpam-6340	222	14	jaradat	jaradat	PROPN
ejpam-6340	222	15	,	,	PUNCT
ejpam-6340	222	16	b.	b.	PROPN
ejpam-6340	222	17	abughazaleh	abughazaleh	PROPN
ejpam-6340	222	18	,	,	PUNCT
ejpam-6340	222	19	and	and	CCONJ
ejpam-6340	222	20	a.	a.	PROPN
ejpam-6340	222	21	al	al	PROPN
ejpam-6340	222	22	-	-	PUNCT
ejpam-6340	222	23	natoor	natoor	NOUN
ejpam-6340	222	24	.	.	PUNCT
ejpam-6340	223	1	the	the	DET
ejpam-6340	223	2	double	double	ADJ
ejpam-6340	223	3	ara	ara	NOUN
ejpam-6340	223	4	-	-	PUNCT
ejpam-6340	223	5	sawi	sawi	NOUN
ejpam-6340	223	6	transform	transform	NOUN
ejpam-6340	223	7	.	.	PUNCT
ejpam-6340	224	1	european	european	PROPN
ejpam-6340	224	2	journal	journal	PROPN
ejpam-6340	224	3	of	of	ADP
ejpam-6340	224	4	pure	pure	ADJ
ejpam-6340	224	5	and	and	CCONJ
ejpam-6340	224	6	applied	applied	ADJ
ejpam-6340	224	7	mathematics	mathematic	NOUN
ejpam-6340	224	8	,	,	PUNCT
ejpam-6340	224	9	18(1):5807	18(1):5807	NUM
ejpam-6340	224	10	,	,	PUNCT
ejpam-6340	224	11	2025	2025	NUM
ejpam-6340	224	12	.	.	PUNCT
ejpam-6340	225	1	[	[	X
ejpam-6340	225	2	15	15	NUM
ejpam-6340	225	3	]	]	X
ejpam-6340	225	4	m.	m.	NOUN
ejpam-6340	225	5	al	al	PROPN
ejpam-6340	225	6	-	-	PUNCT
ejpam-6340	225	7	momani	momani	PROPN
ejpam-6340	225	8	,	,	PUNCT
ejpam-6340	225	9	a.	a.	PROPN
ejpam-6340	225	10	jaradat	jaradat	PROPN
ejpam-6340	225	11	,	,	PUNCT
ejpam-6340	225	12	b.	b.	PROPN
ejpam-6340	225	13	abughazaleh	abughazaleh	PROPN
ejpam-6340	225	14	,	,	PUNCT
ejpam-6340	225	15	and	and	CCONJ
ejpam-6340	225	16	a.	a.	PROPN
ejpam-6340	225	17	farah	farah	PROPN
ejpam-6340	225	18	.	.	PUNCT
ejpam-6340	226	1	solving	solve	VERB
ejpam-6340	226	2	partial	partial	ADJ
ejpam-6340	226	3	differential	differential	ADJ
ejpam-6340	226	4	equations	equation	NOUN
ejpam-6340	226	5	via	via	ADP
ejpam-6340	226	6	the	the	DET
ejpam-6340	226	7	double	double	ADJ
ejpam-6340	226	8	sumudu	sumudu	NOUN
ejpam-6340	226	9	-	-	PUNCT
ejpam-6340	226	10	shehu	shehu	NOUN
ejpam-6340	226	11	transform	transform	NOUN
ejpam-6340	226	12	.	.	PUNCT
ejpam-6340	227	1	european	european	PROPN
ejpam-6340	227	2	journal	journal	PROPN
ejpam-6340	227	3	of	of	ADP
ejpam-6340	227	4	pure	pure	ADJ
ejpam-6340	227	5	and	and	CCONJ
ejpam-6340	227	6	applied	applied	ADJ
ejpam-6340	227	7	mathematics	mathematic	NOUN
ejpam-6340	227	8	,	,	PUNCT
ejpam-6340	227	9	18(2):5898	18(2):5898	NUM
ejpam-6340	227	10	,	,	PUNCT
ejpam-6340	227	11	2025	2025	NUM
ejpam-6340	227	12	.	.	PUNCT
ejpam-6340	228	1	[	[	X
ejpam-6340	228	2	16	16	NUM
ejpam-6340	228	3	]	]	PUNCT
ejpam-6340	228	4	m.	m.	NOUN
ejpam-6340	228	5	al	al	PROPN
ejpam-6340	228	6	-	-	PUNCT
ejpam-6340	228	7	momani	momani	PROPN
ejpam-6340	228	8	,	,	PUNCT
ejpam-6340	228	9	b.	b.	PROPN
ejpam-6340	228	10	abughazaleh	abughazaleh	PROPN
ejpam-6340	228	11	,	,	PUNCT
ejpam-6340	228	12	and	and	CCONJ
ejpam-6340	228	13	a.	a.	PROPN
ejpam-6340	228	14	farah	farah	PROPN
ejpam-6340	228	15	.	.	PUNCT
ejpam-6340	229	1	the	the	DET
ejpam-6340	229	2	double	double	ADJ
ejpam-6340	229	3	sawi	sawi	ADJ
ejpam-6340	229	4	-	-	PUNCT
ejpam-6340	229	5	shehu	shehu	NOUN
ejpam-6340	229	6	transform	transform	NOUN
ejpam-6340	229	7	.	.	PUNCT
ejpam-6340	230	1	european	european	PROPN
ejpam-6340	230	2	journal	journal	PROPN
ejpam-6340	230	3	of	of	ADP
ejpam-6340	230	4	pure	pure	ADJ
ejpam-6340	230	5	and	and	CCONJ
ejpam-6340	230	6	applied	applied	ADJ
ejpam-6340	230	7	mathematics	mathematic	NOUN
ejpam-6340	230	8	,	,	PUNCT
ejpam-6340	230	9	18(3):6890	18(3):6890	NUM
ejpam-6340	230	10	,	,	PUNCT
ejpam-6340	230	11	2025	2025	NUM
ejpam-6340	230	12	.	.	PUNCT
ejpam-6340	231	1	[	[	X
ejpam-6340	231	2	17	17	NUM
ejpam-6340	231	3	]	]	X
ejpam-6340	231	4	h.	h.	NOUN
ejpam-6340	231	5	thabet	thabet	PROPN
ejpam-6340	231	6	and	and	CCONJ
ejpam-6340	231	7	s.	s.	PROPN
ejpam-6340	231	8	kendre	kendre	PROPN
ejpam-6340	231	9	.	.	PUNCT
ejpam-6340	232	1	analytical	analytical	ADJ
ejpam-6340	232	2	solutions	solution	NOUN
ejpam-6340	232	3	for	for	ADP
ejpam-6340	232	4	conformable	conformable	ADJ
ejpam-6340	232	5	space	space	NOUN
ejpam-6340	232	6	-	-	PUNCT
ejpam-6340	232	7	time	time	NOUN
ejpam-6340	232	8	fractional	fractional	ADJ
ejpam-6340	232	9	partial	partial	ADJ
ejpam-6340	232	10	differential	differential	NOUN
ejpam-6340	232	11	equations	equation	NOUN
ejpam-6340	232	12	via	via	ADP
ejpam-6340	232	13	fractional	fractional	ADJ
ejpam-6340	232	14	differential	differential	NOUN
ejpam-6340	232	15	transform	transform	NOUN
ejpam-6340	232	16	.	.	PUNCT
ejpam-6340	233	1	chaos	chaos	NOUN
ejpam-6340	233	2	,	,	PUNCT
ejpam-6340	233	3	solitons	soliton	NOUN
ejpam-6340	233	4	&	&	CCONJ
ejpam-6340	233	5	fractals	fractal	NOUN
ejpam-6340	233	6	,	,	PUNCT
ejpam-6340	233	7	109:238–245	109:238–245	NUM
ejpam-6340	233	8	,	,	PUNCT
ejpam-6340	233	9	2018	2018	NUM
ejpam-6340	233	10	.	.	PUNCT
ejpam-6340	234	1	[	[	X
ejpam-6340	234	2	18	18	NUM
ejpam-6340	234	3	]	]	X
ejpam-6340	234	4	h.	h.	PROPN
ejpam-6340	234	5	eltayeb	eltayeb	PROPN
ejpam-6340	234	6	and	and	CCONJ
ejpam-6340	234	7	s.	s.	PROPN
ejpam-6340	234	8	mesloub	mesloub	PROPN
ejpam-6340	234	9	.	.	PUNCT
ejpam-6340	235	1	a	a	DET
ejpam-6340	235	2	note	note	NOUN
ejpam-6340	235	3	on	on	ADP
ejpam-6340	235	4	conformable	conformable	ADJ
ejpam-6340	235	5	double	double	ADJ
ejpam-6340	235	6	laplace	laplace	NOUN
ejpam-6340	235	7	transform	transform	NOUN
ejpam-6340	235	8	and	and	CCONJ
ejpam-6340	235	9	singular	singular	ADJ
ejpam-6340	235	10	conformable	conformable	ADJ
ejpam-6340	235	11	pseudoparabolic	pseudoparabolic	ADJ
ejpam-6340	235	12	equations	equation	NOUN
ejpam-6340	235	13	.	.	PUNCT
ejpam-6340	236	1	journal	journal	NOUN
ejpam-6340	236	2	of	of	ADP
ejpam-6340	236	3	function	function	NOUN
ejpam-6340	236	4	spaces	space	NOUN
ejpam-6340	236	5	,	,	PUNCT
ejpam-6340	236	6	2020(1):8106494	2020(1):8106494	NUM
ejpam-6340	236	7	,	,	PUNCT
ejpam-6340	236	8	2020	2020	NUM
ejpam-6340	236	9	.	.	PUNCT