id	sid	tid	token	lemma	pos
ejpam-6384	1	1	european	european	PROPN
ejpam-6384	1	2	journal	journal	PROPN
ejpam-6384	1	3	of	of	ADP
ejpam-6384	1	4	pure	pure	ADJ
ejpam-6384	1	5	and	and	CCONJ
ejpam-6384	1	6	applied	applied	ADJ
ejpam-6384	1	7	mathematics	mathematic	NOUN
ejpam-6384	1	8	2025	2025	NUM
ejpam-6384	1	9	,	,	PUNCT
ejpam-6384	1	10	vol	vol	NOUN
ejpam-6384	1	11	.	.	PROPN
ejpam-6384	1	12	18	18	NUM
ejpam-6384	1	13	,	,	PUNCT
ejpam-6384	1	14	issue	issue	NOUN
ejpam-6384	1	15	4	4	NUM
ejpam-6384	1	16	,	,	PUNCT
ejpam-6384	1	17	article	article	NOUN
ejpam-6384	1	18	number	number	NOUN
ejpam-6384	1	19	6384	6384	NUM
ejpam-6384	1	20	issn	issn	PROPN
ejpam-6384	1	21	1307	1307	NUM
ejpam-6384	1	22	-	-	SYM
ejpam-6384	1	23	5543	5543	NUM
ejpam-6384	1	24	–	–	PUNCT
ejpam-6384	1	25	ejpam.com	ejpam.com	X
ejpam-6384	1	26	published	publish	VERB
ejpam-6384	1	27	by	by	ADP
ejpam-6384	1	28	new	new	PROPN
ejpam-6384	1	29	york	york	PROPN
ejpam-6384	1	30	business	business	PROPN
ejpam-6384	1	31	global	global	PROPN
ejpam-6384	1	32	the	the	DET
ejpam-6384	1	33	conformable	conformable	ADJ
ejpam-6384	1	34	double	double	ADJ
ejpam-6384	1	35	sumudu	sumudu	NOUN
ejpam-6384	1	36	-	-	PUNCT
ejpam-6384	1	37	shehu	shehu	NOUN
ejpam-6384	1	38	transform	transform	NOUN
ejpam-6384	1	39	and	and	CCONJ
ejpam-6384	1	40	its	its	PRON
ejpam-6384	1	41	properties	property	NOUN
ejpam-6384	1	42	with	with	ADP
ejpam-6384	1	43	applications	application	NOUN
ejpam-6384	1	44	monther	monther	PROPN
ejpam-6384	1	45	al	al	PROPN
ejpam-6384	1	46	-	-	PUNCT
ejpam-6384	1	47	momani1	momani1	PROPN
ejpam-6384	1	48	,	,	PUNCT
ejpam-6384	1	49	baha	baha	PROPN
ejpam-6384	1	50	’	'	PUNCT
ejpam-6384	1	51	abughazaleh2,∗	abughazaleh2,∗	PROPN
ejpam-6384	1	52	1	1	NUM
ejpam-6384	1	53	department	department	NOUN
ejpam-6384	1	54	of	of	ADP
ejpam-6384	1	55	basic	basic	ADJ
ejpam-6384	1	56	sciences	sciences	PROPN
ejpam-6384	1	57	,	,	PUNCT
ejpam-6384	1	58	al	al	PROPN
ejpam-6384	1	59	-	-	PUNCT
ejpam-6384	1	60	ahliyya	ahliyya	PROPN
ejpam-6384	1	61	amman	amman	PROPN
ejpam-6384	1	62	university	university	PROPN
ejpam-6384	1	63	,	,	PUNCT
ejpam-6384	1	64	amman	amman	PROPN
ejpam-6384	1	65	,	,	PUNCT
ejpam-6384	1	66	jordan	jordan	PROPN
ejpam-6384	1	67	2	2	NUM
ejpam-6384	1	68	department	department	NOUN
ejpam-6384	1	69	of	of	ADP
ejpam-6384	1	70	mathematics	mathematics	PROPN
ejpam-6384	1	71	,	,	PUNCT
ejpam-6384	1	72	isra	isra	PROPN
ejpam-6384	1	73	university	university	PROPN
ejpam-6384	1	74	,	,	PUNCT
ejpam-6384	1	75	amman	amman	PROPN
ejpam-6384	1	76	,	,	PUNCT
ejpam-6384	1	77	jordan	jordan	PROPN
ejpam-6384	1	78	abstract	abstract	PROPN
ejpam-6384	1	79	.	.	PUNCT
ejpam-6384	2	1	we	we	PRON
ejpam-6384	2	2	introduce	introduce	VERB
ejpam-6384	2	3	a	a	DET
ejpam-6384	2	4	new	new	ADJ
ejpam-6384	2	5	transform	transform	NOUN
ejpam-6384	2	6	called	call	VERB
ejpam-6384	2	7	the	the	DET
ejpam-6384	2	8	conformable	conformable	ADJ
ejpam-6384	2	9	double	double	ADJ
ejpam-6384	2	10	sumudu	sumudu	NOUN
ejpam-6384	2	11	-	-	PUNCT
ejpam-6384	2	12	shehu	shehu	NOUN
ejpam-6384	2	13	transform	transform	NOUN
ejpam-6384	2	14	.	.	PUNCT
ejpam-6384	3	1	it	it	PRON
ejpam-6384	3	2	helps	help	VERB
ejpam-6384	3	3	solve	solve	VERB
ejpam-6384	3	4	fractional	fractional	ADJ
ejpam-6384	3	5	partial	partial	ADJ
ejpam-6384	3	6	differential	differential	ADJ
ejpam-6384	3	7	equations	equation	NOUN
ejpam-6384	3	8	that	that	PRON
ejpam-6384	3	9	appear	appear	VERB
ejpam-6384	3	10	in	in	ADP
ejpam-6384	3	11	physical	physical	ADJ
ejpam-6384	3	12	and	and	CCONJ
ejpam-6384	3	13	engineering	engineering	NOUN
ejpam-6384	3	14	problems	problem	NOUN
ejpam-6384	3	15	.	.	PUNCT
ejpam-6384	4	1	the	the	DET
ejpam-6384	4	2	transform	transform	NOUN
ejpam-6384	4	3	uses	use	VERB
ejpam-6384	4	4	the	the	DET
ejpam-6384	4	5	conformable	conformable	ADJ
ejpam-6384	4	6	derivative	derivative	ADJ
ejpam-6384	4	7	idea	idea	NOUN
ejpam-6384	4	8	.	.	PUNCT
ejpam-6384	5	1	we	we	PRON
ejpam-6384	5	2	explain	explain	VERB
ejpam-6384	5	3	its	its	PRON
ejpam-6384	5	4	basic	basic	ADJ
ejpam-6384	5	5	properties	property	NOUN
ejpam-6384	5	6	and	and	CCONJ
ejpam-6384	5	7	show	show	VERB
ejpam-6384	5	8	how	how	SCONJ
ejpam-6384	5	9	it	it	PRON
ejpam-6384	5	10	works	work	VERB
ejpam-6384	5	11	.	.	PUNCT
ejpam-6384	6	1	then	then	ADV
ejpam-6384	6	2	we	we	PRON
ejpam-6384	6	3	apply	apply	VERB
ejpam-6384	6	4	it	it	PRON
ejpam-6384	6	5	to	to	ADP
ejpam-6384	6	6	some	some	DET
ejpam-6384	6	7	well	well	ADV
ejpam-6384	6	8	-	-	PUNCT
ejpam-6384	6	9	known	know	VERB
ejpam-6384	6	10	equations	equation	NOUN
ejpam-6384	6	11	like	like	ADP
ejpam-6384	6	12	the	the	DET
ejpam-6384	6	13	wave	wave	NOUN
ejpam-6384	6	14	and	and	CCONJ
ejpam-6384	6	15	klein	klein	PROPN
ejpam-6384	6	16	-	-	PUNCT
ejpam-6384	6	17	gordon	gordon	PROPN
ejpam-6384	6	18	equations	equation	NOUN
ejpam-6384	6	19	.	.	PUNCT
ejpam-6384	7	1	2020	2020	NUM
ejpam-6384	7	2	mathematics	mathematics	PROPN
ejpam-6384	7	3	subject	subject	NOUN
ejpam-6384	7	4	classifications	classification	NOUN
ejpam-6384	7	5	:	:	PUNCT
ejpam-6384	7	6	44a05	44a05	NUM
ejpam-6384	7	7	key	key	ADJ
ejpam-6384	7	8	words	word	NOUN
ejpam-6384	7	9	and	and	CCONJ
ejpam-6384	7	10	phrases	phrase	NOUN
ejpam-6384	7	11	:	:	PUNCT
ejpam-6384	7	12	conformable	conformable	ADJ
ejpam-6384	7	13	derivatives	derivative	NOUN
ejpam-6384	7	14	,	,	PUNCT
ejpam-6384	7	15	sumudu	sumudu	NOUN
ejpam-6384	7	16	transform	transform	NOUN
ejpam-6384	7	17	,	,	PUNCT
ejpam-6384	7	18	shehu	shehu	NOUN
ejpam-6384	7	19	transform	transform	NOUN
ejpam-6384	7	20	,	,	PUNCT
ejpam-6384	7	21	double	double	ADJ
ejpam-6384	7	22	transform	transform	NOUN
ejpam-6384	7	23	,	,	PUNCT
ejpam-6384	7	24	the	the	DET
ejpam-6384	7	25	conformable	conformable	ADJ
ejpam-6384	7	26	double	double	ADJ
ejpam-6384	7	27	sumudu	sumudu	NOUN
ejpam-6384	7	28	-	-	PUNCT
ejpam-6384	7	29	shehu	shehu	NOUN
ejpam-6384	7	30	transform	transform	NOUN
ejpam-6384	7	31	.	.	PUNCT
ejpam-6384	8	1	1	1	X
ejpam-6384	8	2	.	.	X
ejpam-6384	8	3	introduction	introduction	NOUN
ejpam-6384	8	4	fractional	fractional	ADJ
ejpam-6384	8	5	partial	partial	ADJ
ejpam-6384	8	6	differential	differential	NOUN
ejpam-6384	8	7	equations	equation	NOUN
ejpam-6384	8	8	are	be	AUX
ejpam-6384	8	9	used	use	VERB
ejpam-6384	8	10	in	in	ADP
ejpam-6384	8	11	many	many	ADJ
ejpam-6384	8	12	real	real	ADJ
ejpam-6384	8	13	-	-	PUNCT
ejpam-6384	8	14	life	life	NOUN
ejpam-6384	8	15	problems	problem	NOUN
ejpam-6384	8	16	in	in	ADP
ejpam-6384	8	17	physics	physics	NOUN
ejpam-6384	8	18	,	,	PUNCT
ejpam-6384	8	19	circuits	circuit	NOUN
ejpam-6384	8	20	,	,	PUNCT
ejpam-6384	8	21	fluids	fluid	NOUN
ejpam-6384	8	22	,	,	PUNCT
ejpam-6384	8	23	optics	optic	NOUN
ejpam-6384	8	24	,	,	PUNCT
ejpam-6384	8	25	and	and	CCONJ
ejpam-6384	8	26	biology	biology	NOUN
ejpam-6384	8	27	.	.	PUNCT
ejpam-6384	9	1	one	one	NUM
ejpam-6384	9	2	important	important	ADJ
ejpam-6384	9	3	idea	idea	NOUN
ejpam-6384	9	4	used	use	VERB
ejpam-6384	9	5	to	to	PART
ejpam-6384	9	6	deal	deal	VERB
ejpam-6384	9	7	with	with	ADP
ejpam-6384	9	8	such	such	ADJ
ejpam-6384	9	9	equations	equation	NOUN
ejpam-6384	9	10	is	be	AUX
ejpam-6384	9	11	the	the	DET
ejpam-6384	9	12	conformable	conformable	ADJ
ejpam-6384	9	13	derivative	derivative	NOUN
ejpam-6384	9	14	,	,	PUNCT
ejpam-6384	9	15	introduced	introduce	VERB
ejpam-6384	9	16	in	in	ADP
ejpam-6384	9	17	[	[	X
ejpam-6384	9	18	1	1	NUM
ejpam-6384	9	19	]	]	PUNCT
ejpam-6384	9	20	,	,	PUNCT
ejpam-6384	9	21	which	which	PRON
ejpam-6384	9	22	keeps	keep	VERB
ejpam-6384	9	23	most	most	ADJ
ejpam-6384	9	24	of	of	ADP
ejpam-6384	9	25	the	the	DET
ejpam-6384	9	26	key	key	ADJ
ejpam-6384	9	27	features	feature	NOUN
ejpam-6384	9	28	of	of	ADP
ejpam-6384	9	29	classical	classical	ADJ
ejpam-6384	9	30	derivatives	derivative	NOUN
ejpam-6384	9	31	.	.	PUNCT
ejpam-6384	10	1	several	several	ADJ
ejpam-6384	10	2	approaches	approach	NOUN
ejpam-6384	10	3	were	be	AUX
ejpam-6384	10	4	proposed	propose	VERB
ejpam-6384	10	5	to	to	PART
ejpam-6384	10	6	solve	solve	VERB
ejpam-6384	10	7	these	these	DET
ejpam-6384	10	8	equations	equation	NOUN
ejpam-6384	10	9	.	.	PUNCT
ejpam-6384	11	1	the	the	DET
ejpam-6384	11	2	conformable	conformable	ADJ
ejpam-6384	11	3	double	double	ADJ
ejpam-6384	11	4	laplace	laplace	NOUN
ejpam-6384	11	5	transform	transform	NOUN
ejpam-6384	11	6	was	be	AUX
ejpam-6384	11	7	discussed	discuss	VERB
ejpam-6384	11	8	in	in	ADP
ejpam-6384	11	9	[	[	X
ejpam-6384	11	10	2	2	NUM
ejpam-6384	11	11	]	]	PUNCT
ejpam-6384	11	12	,	,	PUNCT
ejpam-6384	11	13	[	[	X
ejpam-6384	11	14	3	3	NUM
ejpam-6384	11	15	]	]	PUNCT
ejpam-6384	11	16	,	,	PUNCT
ejpam-6384	11	17	and	and	CCONJ
ejpam-6384	11	18	the	the	DET
ejpam-6384	11	19	conformable	conformable	ADJ
ejpam-6384	11	20	double	double	ADJ
ejpam-6384	11	21	sumudu	sumudu	NOUN
ejpam-6384	11	22	transform	transform	NOUN
ejpam-6384	11	23	appeared	appear	VERB
ejpam-6384	11	24	in	in	ADP
ejpam-6384	11	25	[	[	X
ejpam-6384	11	26	4	4	NUM
ejpam-6384	11	27	]	]	PUNCT
ejpam-6384	11	28	.	.	PUNCT
ejpam-6384	12	1	more	more	ADJ
ejpam-6384	12	2	results	result	NOUN
ejpam-6384	12	3	about	about	ADP
ejpam-6384	12	4	these	these	DET
ejpam-6384	12	5	transforms	transform	NOUN
ejpam-6384	12	6	are	be	AUX
ejpam-6384	12	7	found	find	VERB
ejpam-6384	12	8	in	in	ADP
ejpam-6384	12	9	[	[	X
ejpam-6384	12	10	5	5	NUM
ejpam-6384	12	11	]	]	PUNCT
ejpam-6384	12	12	and	and	CCONJ
ejpam-6384	12	13	[	[	X
ejpam-6384	12	14	6	6	NUM
ejpam-6384	12	15	]	]	PUNCT
ejpam-6384	12	16	.	.	PUNCT
ejpam-6384	13	1	later	later	ADV
ejpam-6384	13	2	,	,	PUNCT
ejpam-6384	13	3	a	a	DET
ejpam-6384	13	4	method	method	NOUN
ejpam-6384	13	5	called	call	VERB
ejpam-6384	13	6	the	the	DET
ejpam-6384	13	7	double	double	ADJ
ejpam-6384	13	8	sumudu	sumudu	NOUN
ejpam-6384	13	9	-	-	PUNCT
ejpam-6384	13	10	shehu	shehu	NOUN
ejpam-6384	13	11	transform	transform	NOUN
ejpam-6384	13	12	was	be	AUX
ejpam-6384	13	13	introduced	introduce	VERB
ejpam-6384	13	14	in	in	ADP
ejpam-6384	13	15	[	[	X
ejpam-6384	13	16	7	7	NUM
ejpam-6384	13	17	]	]	PUNCT
ejpam-6384	13	18	.	.	PUNCT
ejpam-6384	14	1	it	it	PRON
ejpam-6384	14	2	was	be	AUX
ejpam-6384	14	3	successfully	successfully	ADV
ejpam-6384	14	4	applied	apply	VERB
ejpam-6384	14	5	to	to	ADP
ejpam-6384	14	6	different	different	ADJ
ejpam-6384	14	7	equations	equation	NOUN
ejpam-6384	14	8	.	.	PUNCT
ejpam-6384	15	1	more	more	ADJ
ejpam-6384	15	2	studies	study	NOUN
ejpam-6384	15	3	on	on	ADP
ejpam-6384	15	4	integral	integral	ADJ
ejpam-6384	15	5	transforms	transform	NOUN
ejpam-6384	15	6	appear	appear	VERB
ejpam-6384	15	7	in	in	ADP
ejpam-6384	15	8	[	[	X
ejpam-6384	15	9	8–15	8–15	PROPN
ejpam-6384	15	10	]	]	PUNCT
ejpam-6384	15	11	.	.	PUNCT
ejpam-6384	16	1	in	in	ADP
ejpam-6384	16	2	this	this	DET
ejpam-6384	16	3	paper	paper	NOUN
ejpam-6384	16	4	,	,	PUNCT
ejpam-6384	16	5	we	we	PRON
ejpam-6384	16	6	define	define	VERB
ejpam-6384	16	7	the	the	DET
ejpam-6384	16	8	conformable	conformable	ADJ
ejpam-6384	16	9	double	double	ADJ
ejpam-6384	16	10	sumudu	sumudu	NOUN
ejpam-6384	16	11	-	-	PUNCT
ejpam-6384	16	12	shehu	shehu	NOUN
ejpam-6384	16	13	transform	transform	NOUN
ejpam-6384	16	14	(	(	PUNCT
ejpam-6384	16	15	cd	cd	NOUN
ejpam-6384	16	16	-	-	PUNCT
ejpam-6384	16	17	ssh	ssh	PROPN
ejpam-6384	16	18	)	)	PUNCT
ejpam-6384	16	19	.	.	PUNCT
ejpam-6384	17	1	we	we	PRON
ejpam-6384	17	2	explain	explain	VERB
ejpam-6384	17	3	when	when	SCONJ
ejpam-6384	17	4	the	the	DET
ejpam-6384	17	5	transform	transform	NOUN
ejpam-6384	17	6	exists	exist	VERB
ejpam-6384	17	7	and	and	CCONJ
ejpam-6384	17	8	how	how	SCONJ
ejpam-6384	17	9	it	it	PRON
ejpam-6384	17	10	behaves	behave	VERB
ejpam-6384	17	11	with	with	ADP
ejpam-6384	17	12	derivatives	derivative	NOUN
ejpam-6384	17	13	.	.	PUNCT
ejpam-6384	18	1	then	then	ADV
ejpam-6384	18	2	we	we	PRON
ejpam-6384	18	3	show	show	VERB
ejpam-6384	18	4	how	how	SCONJ
ejpam-6384	18	5	it	it	PRON
ejpam-6384	18	6	can	can	AUX
ejpam-6384	18	7	be	be	AUX
ejpam-6384	18	8	used	use	VERB
ejpam-6384	18	9	to	to	PART
ejpam-6384	18	10	solve	solve	VERB
ejpam-6384	18	11	some	some	DET
ejpam-6384	18	12	well	well	ADV
ejpam-6384	18	13	-	-	PUNCT
ejpam-6384	18	14	known	know	VERB
ejpam-6384	18	15	conformable	conformable	ADJ
ejpam-6384	18	16	equations	equation	NOUN
ejpam-6384	18	17	.	.	PUNCT
ejpam-6384	19	1	∗corresponding	∗corresponde	VERB
ejpam-6384	19	2	author	author	NOUN
ejpam-6384	19	3	.	.	PUNCT
ejpam-6384	20	1	doi	doi	PROPN
ejpam-6384	20	2	:	:	PUNCT
ejpam-6384	20	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6384	https://doi.org/10.29020/nybg.ejpam.v18i4.6384	PROPN
ejpam-6384	20	4	email	email	NOUN
ejpam-6384	20	5	addresses	address	NOUN
ejpam-6384	20	6	:	:	PUNCT
ejpam-6384	20	7	montheralmomani72@gmail.com	montheralmomani72@gmail.com	X
ejpam-6384	20	8	(	(	PUNCT
ejpam-6384	20	9	m.	m.	PROPN
ejpam-6384	20	10	al	al	PROPN
ejpam-6384	20	11	-	-	PUNCT
ejpam-6384	20	12	momani	momani	NOUN
ejpam-6384	20	13	)	)	PUNCT
ejpam-6384	20	14	,	,	PUNCT
ejpam-6384	20	15	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-6384	20	16	(	(	PUNCT
ejpam-6384	20	17	b.	b.	PROPN
ejpam-6384	20	18	abughazaleh	abughazaleh	PROPN
ejpam-6384	20	19	)	)	PUNCT
ejpam-6384	20	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6384	21	1	1	1	NUM
ejpam-6384	21	2	copyright	copyright	NOUN
ejpam-6384	21	3	:	:	PUNCT
ejpam-6384	21	4	©	©	PROPN
ejpam-6384	21	5	2025	2025	NUM
ejpam-6384	21	6	the	the	DET
ejpam-6384	21	7	author(s	author(s	NOUN
ejpam-6384	21	8	)	)	PUNCT
ejpam-6384	21	9	.	.	PUNCT
ejpam-6384	22	1	(	(	PUNCT
ejpam-6384	22	2	cc	cc	NOUN
ejpam-6384	22	3	by	by	ADP
ejpam-6384	22	4	-	-	PUNCT
ejpam-6384	22	5	nc	nc	PROPN
ejpam-6384	22	6	4.0	4.0	NUM
ejpam-6384	22	7	)	)	PUNCT
ejpam-6384	22	8	m.	m.	NOUN
ejpam-6384	22	9	al	al	PROPN
ejpam-6384	22	10	-	-	PUNCT
ejpam-6384	22	11	momani	momani	PROPN
ejpam-6384	22	12	,	,	PUNCT
ejpam-6384	22	13	b.	b.	PROPN
ejpam-6384	22	14	abughazaleh	abughazaleh	PROPN
ejpam-6384	22	15	/	/	SYM
ejpam-6384	22	16	eur	eur	PROPN
ejpam-6384	22	17	.	.	PUNCT
ejpam-6384	23	1	j.	j.	PROPN
ejpam-6384	23	2	pure	pure	PROPN
ejpam-6384	23	3	appl	appl	PROPN
ejpam-6384	23	4	.	.	PROPN
ejpam-6384	23	5	math	math	PROPN
ejpam-6384	23	6	,	,	PUNCT
ejpam-6384	23	7	18	18	NUM
ejpam-6384	23	8	(	(	PUNCT
ejpam-6384	23	9	4	4	NUM
ejpam-6384	23	10	)	)	PUNCT
ejpam-6384	23	11	(	(	PUNCT
ejpam-6384	23	12	2025	2025	NUM
ejpam-6384	23	13	)	)	PUNCT
ejpam-6384	23	14	,	,	PUNCT
ejpam-6384	23	15	6384	6384	NUM
ejpam-6384	23	16	2	2	NUM
ejpam-6384	23	17	of	of	ADP
ejpam-6384	23	18	14	14	NUM
ejpam-6384	23	19	2	2	NUM
ejpam-6384	23	20	.	.	PUNCT
ejpam-6384	23	21	preliminaries	preliminary	NOUN
ejpam-6384	23	22	in	in	ADP
ejpam-6384	23	23	this	this	DET
ejpam-6384	23	24	section	section	NOUN
ejpam-6384	23	25	,	,	PUNCT
ejpam-6384	23	26	we	we	PRON
ejpam-6384	23	27	give	give	VERB
ejpam-6384	23	28	the	the	DET
ejpam-6384	23	29	main	main	ADJ
ejpam-6384	23	30	definitions	definition	NOUN
ejpam-6384	23	31	and	and	CCONJ
ejpam-6384	23	32	results	result	NOUN
ejpam-6384	23	33	related	relate	VERB
ejpam-6384	23	34	to	to	AUX
ejpam-6384	23	35	conformable	conformable	ADJ
ejpam-6384	23	36	fractional	fractional	ADJ
ejpam-6384	23	37	derivatives	derivative	NOUN
ejpam-6384	23	38	.	.	PUNCT
ejpam-6384	24	1	definition	definition	NOUN
ejpam-6384	24	2	1	1	NUM
ejpam-6384	24	3	.	.	PUNCT
ejpam-6384	25	1	[	[	X
ejpam-6384	25	2	1	1	X
ejpam-6384	25	3	]	]	PUNCT
ejpam-6384	25	4	let	let	VERB
ejpam-6384	25	5	0	0	NUM
ejpam-6384	25	6	<	<	X
ejpam-6384	25	7	θ	θ	X
ejpam-6384	25	8	≤	≤	NUM
ejpam-6384	25	9	1	1	NUM
ejpam-6384	25	10	and	and	CCONJ
ejpam-6384	25	11	χ	χ	X
ejpam-6384	25	12	:	:	PUNCT
ejpam-6384	25	13	(	(	PUNCT
ejpam-6384	25	14	0,∞	0,∞	NOUN
ejpam-6384	25	15	)	)	PUNCT
ejpam-6384	25	16	→	→	PUNCT
ejpam-6384	25	17	r.	r.	VERB
ejpam-6384	25	18	the	the	DET
ejpam-6384	25	19	conformable	conformable	ADJ
ejpam-6384	25	20	fractional	fractional	ADJ
ejpam-6384	25	21	derivative	derivative	NOUN
ejpam-6384	25	22	of	of	ADP
ejpam-6384	25	23	order	order	NOUN
ejpam-6384	25	24	θ	θ	NOUN
ejpam-6384	25	25	is	be	AUX
ejpam-6384	25	26	defined	define	VERB
ejpam-6384	25	27	as	as	ADP
ejpam-6384	25	28	:	:	PUNCT
ejpam-6384	25	29	dθ	dθ	PROPN
ejpam-6384	25	30	dλθ	dλθ	PROPN
ejpam-6384	25	31	χ(λ	χ(λ	PROPN
ejpam-6384	25	32	)	)	PUNCT
ejpam-6384	26	1	=	=	PROPN
ejpam-6384	26	2	lim	lim	PROPN
ejpam-6384	26	3	η→0	η→0	X
ejpam-6384	26	4	χ(λ+	χ(λ+	PROPN
ejpam-6384	26	5	ηλ1−θ)−	ηλ1−θ)−	ADJ
ejpam-6384	26	6	χ(λ	χ(λ	PROPN
ejpam-6384	26	7	)	)	PUNCT
ejpam-6384	26	8	η	η	PROPN
ejpam-6384	26	9	,	,	PUNCT
ejpam-6384	26	10	where	where	SCONJ
ejpam-6384	26	11	λ	λ	X
ejpam-6384	26	12	>	>	X
ejpam-6384	26	13	0	0	NUM
ejpam-6384	26	14	,	,	PUNCT
ejpam-6384	26	15	and	and	CCONJ
ejpam-6384	26	16	∂θ	∂θ	PROPN
ejpam-6384	26	17	∂λθ	∂λθ	PROPN
ejpam-6384	26	18	is	be	AUX
ejpam-6384	26	19	referred	refer	VERB
ejpam-6384	26	20	to	to	ADP
ejpam-6384	26	21	as	as	ADP
ejpam-6384	26	22	the	the	DET
ejpam-6384	26	23	fractional	fractional	ADJ
ejpam-6384	26	24	derivative	derivative	NOUN
ejpam-6384	26	25	of	of	ADP
ejpam-6384	26	26	order	order	NOUN
ejpam-6384	26	27	θ	θ	PROPN
ejpam-6384	26	28	.	.	PUNCT
ejpam-6384	26	29	definition	definition	NOUN
ejpam-6384	26	30	2	2	NUM
ejpam-6384	26	31	.	.	PUNCT
ejpam-6384	27	1	[	[	X
ejpam-6384	27	2	16	16	NUM
ejpam-6384	27	3	]	]	X
ejpam-6384	27	4	let	let	VERB
ejpam-6384	27	5	0	0	NUM
ejpam-6384	27	6	<	<	X
ejpam-6384	27	7	θ1	θ1	NOUN
ejpam-6384	27	8	,	,	PUNCT
ejpam-6384	27	9	θ2	θ2	ADV
ejpam-6384	27	10	≤	≤	ADV
ejpam-6384	27	11	1	1	NUM
ejpam-6384	27	12	and	and	CCONJ
ejpam-6384	27	13	χ(λ	χ(λ	PROPN
ejpam-6384	27	14	,	,	PUNCT
ejpam-6384	27	15	δ	δ	PROPN
ejpam-6384	27	16	)	)	PUNCT
ejpam-6384	27	17	:	:	PUNCT
ejpam-6384	27	18	(	(	PUNCT
ejpam-6384	27	19	0,∞)×	0,∞)×	NUM
ejpam-6384	27	20	(	(	PUNCT
ejpam-6384	27	21	0,∞	0,∞	NUM
ejpam-6384	27	22	)	)	PUNCT
ejpam-6384	27	23	→	→	PUNCT
ejpam-6384	27	24	r.	r.	VERB
ejpam-6384	27	25	the	the	DET
ejpam-6384	27	26	conformable	conformable	ADJ
ejpam-6384	27	27	partial	partial	ADJ
ejpam-6384	27	28	derivatives	derivative	NOUN
ejpam-6384	27	29	of	of	ADP
ejpam-6384	27	30	orders	order	NOUN
ejpam-6384	27	31	θ1	θ1	NOUN
ejpam-6384	27	32	and	and	CCONJ
ejpam-6384	27	33	θ2	θ2	PROPN
ejpam-6384	27	34	of	of	ADP
ejpam-6384	27	35	the	the	DET
ejpam-6384	27	36	function	function	NOUN
ejpam-6384	27	37	χ(λ	χ(λ	PROPN
ejpam-6384	27	38	,	,	PUNCT
ejpam-6384	27	39	δ	δ	PROPN
ejpam-6384	27	40	)	)	PUNCT
ejpam-6384	27	41	are	be	AUX
ejpam-6384	27	42	defined	define	VERB
ejpam-6384	27	43	as	as	ADP
ejpam-6384	27	44	:	:	PUNCT
ejpam-6384	27	45	∂θ1	∂θ1	NOUN
ejpam-6384	27	46	∂λθ1	∂λθ1	NOUN
ejpam-6384	27	47	χ(λ	χ(λ	PROPN
ejpam-6384	27	48	,	,	PUNCT
ejpam-6384	27	49	δ	δ	PROPN
ejpam-6384	27	50	)	)	PUNCT
ejpam-6384	28	1	=	=	PROPN
ejpam-6384	28	2	lim	lim	PROPN
ejpam-6384	28	3	η→0	η→0	X
ejpam-6384	28	4	χ(λ+	χ(λ+	VERB
ejpam-6384	28	5	ηλ1−θ1	ηλ1−θ1	PROPN
ejpam-6384	28	6	,	,	PUNCT
ejpam-6384	28	7	δ)−	δ)−	PROPN
ejpam-6384	28	8	χ(λ	χ(λ	PROPN
ejpam-6384	28	9	,	,	PUNCT
ejpam-6384	28	10	δ	δ	PROPN
ejpam-6384	28	11	)	)	PUNCT
ejpam-6384	28	12	η	η	PROPN
ejpam-6384	28	13	,	,	PUNCT
ejpam-6384	28	14	∂θ2	∂θ2	PROPN
ejpam-6384	28	15	∂δθ2	∂δθ2	X
ejpam-6384	28	16	χ(λ	χ(λ	PROPN
ejpam-6384	28	17	,	,	PUNCT
ejpam-6384	28	18	δ	δ	PROPN
ejpam-6384	28	19	)	)	PUNCT
ejpam-6384	28	20	=	=	PROPN
ejpam-6384	28	21	lim	lim	PROPN
ejpam-6384	28	22	η→0	η→0	X
ejpam-6384	28	23	χ(λ	χ(λ	PROPN
ejpam-6384	28	24	,	,	PUNCT
ejpam-6384	28	25	δ	δ	PROPN
ejpam-6384	28	26	+	+	CCONJ
ejpam-6384	28	27	ηδ1−θ2)−	ηδ1−θ2)−	PUNCT
ejpam-6384	28	28	χ(λ	χ(λ	PROPN
ejpam-6384	28	29	,	,	PUNCT
ejpam-6384	28	30	δ	δ	PROPN
ejpam-6384	28	31	)	)	PUNCT
ejpam-6384	28	32	η	η	PROPN
ejpam-6384	28	33	,	,	PUNCT
ejpam-6384	28	34	where	where	SCONJ
ejpam-6384	28	35	λ	λ	PROPN
ejpam-6384	28	36	,	,	PUNCT
ejpam-6384	28	37	δ	δ	PROPN
ejpam-6384	28	38	>	>	X
ejpam-6384	28	39	0	0	PROPN
ejpam-6384	28	40	,	,	PUNCT
ejpam-6384	28	41	∂θ1	∂θ1	NOUN
ejpam-6384	28	42	∂λθ1	∂λθ1	NOUN
ejpam-6384	28	43	and	and	CCONJ
ejpam-6384	28	44	∂θ2	∂θ2	PRON
ejpam-6384	28	45	∂δθ2	∂δθ2	NUM
ejpam-6384	28	46	are	be	AUX
ejpam-6384	28	47	referred	refer	VERB
ejpam-6384	28	48	to	to	ADP
ejpam-6384	28	49	as	as	ADP
ejpam-6384	28	50	fractional	fractional	ADJ
ejpam-6384	28	51	derivatives	derivative	NOUN
ejpam-6384	28	52	of	of	ADP
ejpam-6384	28	53	orders	order	NOUN
ejpam-6384	28	54	θ1	θ1	PROPN
ejpam-6384	28	55	and	and	CCONJ
ejpam-6384	28	56	θ2	θ2	PROPN
ejpam-6384	28	57	,	,	PUNCT
ejpam-6384	28	58	respectively	respectively	ADV
ejpam-6384	28	59	.	.	PUNCT
ejpam-6384	28	60	theorem	theorem	NOUN
ejpam-6384	28	61	1	1	NUM
ejpam-6384	28	62	.	.	PUNCT
ejpam-6384	29	1	[	[	X
ejpam-6384	29	2	17]suppose	17]suppose	NUM
ejpam-6384	29	3	that	that	SCONJ
ejpam-6384	29	4	χ(λ	χ(λ	PROPN
ejpam-6384	29	5	,	,	PUNCT
ejpam-6384	29	6	δ	δ	PROPN
ejpam-6384	29	7	)	)	PUNCT
ejpam-6384	29	8	is	be	AUX
ejpam-6384	29	9	differentiable	differentiable	ADJ
ejpam-6384	29	10	at	at	ADP
ejpam-6384	29	11	a	a	DET
ejpam-6384	29	12	point	point	NOUN
ejpam-6384	29	13	λ	λ	PROPN
ejpam-6384	29	14	,	,	PUNCT
ejpam-6384	29	15	δ	δ	PROPN
ejpam-6384	29	16	>	>	X
ejpam-6384	29	17	0	0	NUM
ejpam-6384	29	18	,	,	PUNCT
ejpam-6384	29	19	0	0	NUM
ejpam-6384	29	20	<	<	X
ejpam-6384	29	21	θ1	θ1	NOUN
ejpam-6384	29	22	,	,	PUNCT
ejpam-6384	29	23	θ2	θ2	ADV
ejpam-6384	29	24	≤	≤	ADV
ejpam-6384	29	25	1	1	NUM
ejpam-6384	29	26	,	,	PUNCT
ejpam-6384	29	27	then	then	ADV
ejpam-6384	29	28	:	:	PUNCT
ejpam-6384	29	29	∂θ1χ	∂θ1χ	X
ejpam-6384	29	30	∂λθ1	∂λθ1	NOUN
ejpam-6384	29	31	=	=	SYM
ejpam-6384	29	32	λ1−θ1	λ1−θ1	NUM
ejpam-6384	29	33	∂χ	∂χ	PROPN
ejpam-6384	29	34	∂λ	∂λ	PROPN
ejpam-6384	29	35	,	,	PUNCT
ejpam-6384	29	36	∂θ2χ	∂θ2χ	X
ejpam-6384	29	37	∂δθ2	∂δθ2	NUM
ejpam-6384	29	38	=	=	SYM
ejpam-6384	29	39	δ1−θ2	δ1−θ2	PROPN
ejpam-6384	29	40	∂χ	∂χ	PROPN
ejpam-6384	29	41	∂δ	∂δ	PROPN
ejpam-6384	29	42	.	.	PUNCT
ejpam-6384	30	1	3	3	X
ejpam-6384	30	2	.	.	X
ejpam-6384	30	3	the	the	DET
ejpam-6384	30	4	conformable	conformable	ADJ
ejpam-6384	30	5	double	double	ADJ
ejpam-6384	30	6	sumudu	sumudu	NOUN
ejpam-6384	30	7	-	-	PUNCT
ejpam-6384	30	8	shehu	shehu	NOUN
ejpam-6384	30	9	transform	transform	NOUN
ejpam-6384	30	10	in	in	ADP
ejpam-6384	30	11	this	this	DET
ejpam-6384	30	12	section	section	NOUN
ejpam-6384	30	13	,	,	PUNCT
ejpam-6384	30	14	we	we	PRON
ejpam-6384	30	15	introduce	introduce	VERB
ejpam-6384	30	16	the	the	DET
ejpam-6384	30	17	cd	cd	PROPN
ejpam-6384	30	18	-	-	PUNCT
ejpam-6384	30	19	ssh	ssh	NOUN
ejpam-6384	30	20	transform	transform	NOUN
ejpam-6384	30	21	and	and	CCONJ
ejpam-6384	30	22	explain	explain	VERB
ejpam-6384	30	23	its	its	PRON
ejpam-6384	30	24	main	main	ADJ
ejpam-6384	30	25	properties	property	NOUN
ejpam-6384	30	26	such	such	ADJ
ejpam-6384	30	27	as	as	ADP
ejpam-6384	30	28	linearity	linearity	NOUN
ejpam-6384	30	29	.	.	PUNCT
ejpam-6384	31	1	we	we	PRON
ejpam-6384	31	2	also	also	ADV
ejpam-6384	31	3	present	present	VERB
ejpam-6384	31	4	a	a	DET
ejpam-6384	31	5	new	new	ADJ
ejpam-6384	31	6	result	result	NOUN
ejpam-6384	31	7	related	relate	VERB
ejpam-6384	31	8	to	to	ADP
ejpam-6384	31	9	partial	partial	ADJ
ejpam-6384	31	10	derivatives	derivative	NOUN
ejpam-6384	31	11	.	.	PUNCT
ejpam-6384	32	1	finally	finally	ADV
ejpam-6384	32	2	,	,	PUNCT
ejpam-6384	32	3	we	we	PRON
ejpam-6384	32	4	show	show	VERB
ejpam-6384	32	5	how	how	SCONJ
ejpam-6384	32	6	these	these	DET
ejpam-6384	32	7	ideas	idea	NOUN
ejpam-6384	32	8	help	help	VERB
ejpam-6384	32	9	in	in	ADP
ejpam-6384	32	10	finding	find	VERB
ejpam-6384	32	11	the	the	DET
ejpam-6384	32	12	cd	cd	PROPN
ejpam-6384	32	13	-	-	PUNCT
ejpam-6384	32	14	ssh	ssh	NOUN
ejpam-6384	32	15	of	of	ADP
ejpam-6384	32	16	some	some	DET
ejpam-6384	32	17	basic	basic	ADJ
ejpam-6384	32	18	functions	function	NOUN
ejpam-6384	32	19	.	.	PUNCT
ejpam-6384	33	1	definition	definition	NOUN
ejpam-6384	33	2	3	3	NUM
ejpam-6384	33	3	.	.	PUNCT
ejpam-6384	34	1	let	let	VERB
ejpam-6384	34	2	χ(λ	χ(λ	PROPN
ejpam-6384	34	3	,	,	PUNCT
ejpam-6384	34	4	δ	δ	PROPN
ejpam-6384	34	5	)	)	PUNCT
ejpam-6384	34	6	be	be	VERB
ejpam-6384	34	7	a	a	DET
ejpam-6384	34	8	continuous	continuous	ADJ
ejpam-6384	34	9	function	function	NOUN
ejpam-6384	34	10	on	on	ADP
ejpam-6384	34	11	(	(	PUNCT
ejpam-6384	34	12	0,∞)×	0,∞)×	NUM
ejpam-6384	34	13	(	(	PUNCT
ejpam-6384	34	14	0,∞	0,∞	NUM
ejpam-6384	34	15	)	)	PUNCT
ejpam-6384	34	16	.	.	PUNCT
ejpam-6384	35	1	then	then	ADV
ejpam-6384	35	2	1the	1the	PRON
ejpam-6384	35	3	conformable	conformable	ADJ
ejpam-6384	35	4	sumudu	sumudu	NOUN
ejpam-6384	35	5	transformation	transformation	NOUN
ejpam-6384	35	6	(	(	PUNCT
ejpam-6384	35	7	c	c	NOUN
ejpam-6384	35	8	-	-	SYM
ejpam-6384	35	9	s	s	NOUN
ejpam-6384	35	10	)	)	PUNCT
ejpam-6384	35	11	of	of	ADP
ejpam-6384	35	12	χ(λ	χ(λ	PROPN
ejpam-6384	35	13	,	,	PUNCT
ejpam-6384	35	14	δ	δ	PROPN
ejpam-6384	35	15	)	)	PUNCT
ejpam-6384	35	16	,	,	PUNCT
ejpam-6384	35	17	denoted	denote	VERB
ejpam-6384	35	18	by	by	ADP
ejpam-6384	35	19	sθ	sθ	ADP
ejpam-6384	35	20	λ[χ(λ	λ[χ(λ	PROPN
ejpam-6384	35	21	,	,	PUNCT
ejpam-6384	35	22	δ	δ	PROPN
ejpam-6384	35	23	)	)	PUNCT
ejpam-6384	35	24	]	]	PUNCT
ejpam-6384	35	25	,	,	PUNCT
ejpam-6384	35	26	is	be	AUX
ejpam-6384	35	27	defined	define	VERB
ejpam-6384	35	28	as	as	ADP
ejpam-6384	35	29	:	:	PUNCT
ejpam-6384	35	30	φ	φ	PROPN
ejpam-6384	35	31	(	(	PUNCT
ejpam-6384	35	32	ρ	ρ	NOUN
ejpam-6384	35	33	)	)	PUNCT
ejpam-6384	35	34	=	=	SYM
ejpam-6384	35	35	sθ	sθ	ADP
ejpam-6384	35	36	λ(χ(λ	λ(χ(λ	NOUN
ejpam-6384	35	37	,	,	PUNCT
ejpam-6384	35	38	δ	δ	PROPN
ejpam-6384	35	39	)	)	PUNCT
ejpam-6384	35	40	)	)	PUNCT
ejpam-6384	36	1	=	=	SYM
ejpam-6384	36	2	1	1	NUM
ejpam-6384	36	3	ρ	ρ	PROPN
ejpam-6384	36	4	∞∫	∞∫	PROPN
ejpam-6384	36	5	0	0	PUNCT
ejpam-6384	36	6	e	e	X
ejpam-6384	36	7	−λθ	−λθ	PROPN
ejpam-6384	36	8	ρθ	ρθ	PROPN
ejpam-6384	36	9	χ(λ	χ(λ	PROPN
ejpam-6384	36	10	,	,	PUNCT
ejpam-6384	36	11	δ)λθ−1dλ	δ)λθ−1dλ	PROPN
ejpam-6384	36	12	,	,	PUNCT
ejpam-6384	36	13	ρ	ρ	PROPN
ejpam-6384	36	14	∈	∈	PROPN
ejpam-6384	36	15	c.	c.	PROPN
ejpam-6384	36	16	m.	m.	PROPN
ejpam-6384	36	17	al	al	PROPN
ejpam-6384	36	18	-	-	PUNCT
ejpam-6384	36	19	momani	momani	PROPN
ejpam-6384	36	20	,	,	PUNCT
ejpam-6384	36	21	b.	b.	PROPN
ejpam-6384	36	22	abughazaleh	abughazaleh	PROPN
ejpam-6384	36	23	/	/	SYM
ejpam-6384	36	24	eur	eur	PROPN
ejpam-6384	36	25	.	.	PUNCT
ejpam-6384	37	1	j.	j.	PROPN
ejpam-6384	37	2	pure	pure	PROPN
ejpam-6384	37	3	appl	appl	PROPN
ejpam-6384	37	4	.	.	PROPN
ejpam-6384	37	5	math	math	PROPN
ejpam-6384	37	6	,	,	PUNCT
ejpam-6384	37	7	18	18	NUM
ejpam-6384	37	8	(	(	PUNCT
ejpam-6384	37	9	4	4	NUM
ejpam-6384	37	10	)	)	PUNCT
ejpam-6384	37	11	(	(	PUNCT
ejpam-6384	37	12	2025	2025	NUM
ejpam-6384	37	13	)	)	PUNCT
ejpam-6384	37	14	,	,	PUNCT
ejpam-6384	37	15	6384	6384	NUM
ejpam-6384	37	16	3	3	NUM
ejpam-6384	37	17	of	of	ADP
ejpam-6384	37	18	14	14	NUM
ejpam-6384	37	19	2the	2the	NUM
ejpam-6384	37	20	conformable	conformable	ADJ
ejpam-6384	37	21	shehu	shehu	NOUN
ejpam-6384	37	22	transformation	transformation	NOUN
ejpam-6384	37	23	(	(	PUNCT
ejpam-6384	37	24	c	c	X
ejpam-6384	37	25	-	-	PUNCT
ejpam-6384	37	26	sh	sh	NOUN
ejpam-6384	37	27	)	)	PUNCT
ejpam-6384	37	28	of	of	ADP
ejpam-6384	37	29	χ(λ	χ(λ	PROPN
ejpam-6384	37	30	,	,	PUNCT
ejpam-6384	37	31	δ	δ	PROPN
ejpam-6384	37	32	)	)	PUNCT
ejpam-6384	37	33	,	,	PUNCT
ejpam-6384	37	34	denoted	denote	VERB
ejpam-6384	37	35	by	by	ADP
ejpam-6384	37	36	hθ	hθ	PROPN
ejpam-6384	37	37	δ	δ	PROPN
ejpam-6384	38	1	[	[	X
ejpam-6384	38	2	χ(λ	χ(λ	PROPN
ejpam-6384	38	3	,	,	PUNCT
ejpam-6384	38	4	δ	δ	PROPN
ejpam-6384	38	5	)	)	PUNCT
ejpam-6384	38	6	]	]	PUNCT
ejpam-6384	38	7	,	,	PUNCT
ejpam-6384	38	8	is	be	AUX
ejpam-6384	38	9	defined	define	VERB
ejpam-6384	38	10	as	as	ADP
ejpam-6384	38	11	:	:	PUNCT
ejpam-6384	38	12	ω	ω	PROPN
ejpam-6384	38	13	(	(	PUNCT
ejpam-6384	38	14	ϵ	ϵ	NUM
ejpam-6384	38	15	,	,	PUNCT
ejpam-6384	38	16	η	η	NOUN
ejpam-6384	38	17	)	)	PUNCT
ejpam-6384	38	18	=	=	SYM
ejpam-6384	38	19	hθ	hθ	PROPN
ejpam-6384	38	20	δ	δ	PROPN
ejpam-6384	38	21	(	(	PUNCT
ejpam-6384	38	22	χ(λ	χ(λ	PROPN
ejpam-6384	38	23	,	,	PUNCT
ejpam-6384	38	24	δ	δ	PROPN
ejpam-6384	38	25	)	)	PUNCT
ejpam-6384	38	26	)	)	PUNCT
ejpam-6384	39	1	=	=	PUNCT
ejpam-6384	39	2	∞∫	∞∫	NOUN
ejpam-6384	39	3	0	0	NUM
ejpam-6384	40	1	e	e	X
ejpam-6384	40	2	−ϵ	−ϵ	PROPN
ejpam-6384	40	3	δ	δ	PROPN
ejpam-6384	40	4	θ	θ	PROPN
ejpam-6384	40	5	ηθχ(λ	ηθχ(λ	PROPN
ejpam-6384	40	6	,	,	PUNCT
ejpam-6384	40	7	δ)δθ−1dδ	δ)δθ−1dδ	PROPN
ejpam-6384	40	8	,	,	PUNCT
ejpam-6384	40	9	ϵ	ϵ	X
ejpam-6384	40	10	,	,	PUNCT
ejpam-6384	40	11	η	η	PROPN
ejpam-6384	40	12	∈	∈	PROPN
ejpam-6384	40	13	c.	c.	NOUN
ejpam-6384	40	14	3the	3the	ADJ
ejpam-6384	40	15	conformable	conformable	ADJ
ejpam-6384	40	16	sumudu	sumudu	NOUN
ejpam-6384	40	17	-	-	PUNCT
ejpam-6384	40	18	shehu	shehu	NOUN
ejpam-6384	40	19	transformation	transformation	NOUN
ejpam-6384	40	20	(	(	PUNCT
ejpam-6384	40	21	cd	cd	NOUN
ejpam-6384	40	22	-	-	PUNCT
ejpam-6384	40	23	ssh	ssh	PROPN
ejpam-6384	40	24	)	)	PUNCT
ejpam-6384	40	25	of	of	ADP
ejpam-6384	40	26	χ(λ	χ(λ	PROPN
ejpam-6384	40	27	,	,	PUNCT
ejpam-6384	40	28	δ	δ	PROPN
ejpam-6384	40	29	)	)	PUNCT
ejpam-6384	40	30	,	,	PUNCT
ejpam-6384	40	31	denoted	denote	VERB
ejpam-6384	40	32	by	by	ADP
ejpam-6384	40	33	sθ1	sθ1	ADV
ejpam-6384	40	34	λ	λ	PROPN
ejpam-6384	40	35	hθ2	hθ2	NOUN
ejpam-6384	40	36	δ	δ	PROPN
ejpam-6384	41	1	[	[	X
ejpam-6384	41	2	χ(λ	χ(λ	PROPN
ejpam-6384	41	3	,	,	PUNCT
ejpam-6384	41	4	δ	δ	PROPN
ejpam-6384	41	5	)	)	PUNCT
ejpam-6384	41	6	]	]	PUNCT
ejpam-6384	41	7	,	,	PUNCT
ejpam-6384	41	8	is	be	AUX
ejpam-6384	41	9	defined	define	VERB
ejpam-6384	41	10	as	as	ADP
ejpam-6384	41	11	:	:	PUNCT
ejpam-6384	41	12	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	41	13	,	,	PUNCT
ejpam-6384	41	14	ϵ	ϵ	X
ejpam-6384	41	15	,	,	PUNCT
ejpam-6384	41	16	η	η	NOUN
ejpam-6384	41	17	)	)	PUNCT
ejpam-6384	41	18	=	=	PUNCT
ejpam-6384	42	1	sθ1	sθ1	ADJ
ejpam-6384	42	2	λ	λ	INTJ
ejpam-6384	42	3	hθ2	hθ2	NOUN
ejpam-6384	42	4	δ	δ	PROPN
ejpam-6384	43	1	[	[	X
ejpam-6384	43	2	χ(λ	χ(λ	PROPN
ejpam-6384	43	3	,	,	PUNCT
ejpam-6384	43	4	δ	δ	PROPN
ejpam-6384	43	5	)	)	PUNCT
ejpam-6384	43	6	]	]	PUNCT
ejpam-6384	43	7	=	=	SYM
ejpam-6384	43	8	1	1	NUM
ejpam-6384	43	9	ρ	ρ	PROPN
ejpam-6384	43	10	∞∫	∞∫	PROPN
ejpam-6384	43	11	0	0	NUM
ejpam-6384	44	1	∞∫	∞∫	NOUN
ejpam-6384	44	2	0	0	PUNCT
ejpam-6384	45	1	e	e	X
ejpam-6384	45	2	−	−	PROPN
ejpam-6384	45	3	(	(	PUNCT
ejpam-6384	45	4	λθ1	λθ1	PRON
ejpam-6384	45	5	ρθ1	ρθ1	NOUN
ejpam-6384	45	6	+	+	NOUN
ejpam-6384	45	7	ϵ	ϵ	PROPN
ejpam-6384	45	8	δ	δ	NOUN
ejpam-6384	45	9	θ2	θ2	PROPN
ejpam-6384	45	10	ηθ2	ηθ2	PROPN
ejpam-6384	45	11	)	)	PUNCT
ejpam-6384	46	1	χ(λ	χ(λ	PROPN
ejpam-6384	46	2	,	,	PUNCT
ejpam-6384	46	3	δ)λθ1−1δθ2−1dλdδ	δ)λθ1−1δθ2−1dλdδ	NOUN
ejpam-6384	46	4	.	.	PUNCT
ejpam-6384	47	1	theorem	theorem	NOUN
ejpam-6384	47	2	2	2	NUM
ejpam-6384	47	3	.	.	PUNCT
ejpam-6384	47	4	assume	assume	VERB
ejpam-6384	47	5	that	that	SCONJ
ejpam-6384	47	6	χ	χ	X
ejpam-6384	47	7	:	:	PUNCT
ejpam-6384	47	8	(	(	PUNCT
ejpam-6384	47	9	0,∞)×(0,∞	0,∞)×(0,∞	NUM
ejpam-6384	47	10	)	)	PUNCT
ejpam-6384	47	11	→	→	PUNCT
ejpam-6384	47	12	r	r	NOUN
ejpam-6384	47	13	such	such	ADJ
ejpam-6384	47	14	that	that	DET
ejpam-6384	47	15	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	47	16	,	,	PUNCT
ejpam-6384	47	17	ϵ	ϵ	X
ejpam-6384	47	18	,	,	PUNCT
ejpam-6384	47	19	η	η	NOUN
ejpam-6384	47	20	)	)	PUNCT
ejpam-6384	47	21	=	=	PUNCT
ejpam-6384	48	1	sθ1	sθ1	ADJ
ejpam-6384	48	2	λ	λ	INTJ
ejpam-6384	48	3	hθ2	hθ2	NOUN
ejpam-6384	48	4	δ	δ	PROPN
ejpam-6384	49	1	[	[	X
ejpam-6384	49	2	χ(λ	χ(λ	PROPN
ejpam-6384	49	3	θ1	θ1	PROPN
ejpam-6384	49	4	θ1	θ1	PROPN
ejpam-6384	49	5	,	,	PUNCT
ejpam-6384	49	6	δ	δ	PROPN
ejpam-6384	49	7	θ2	θ2	PROPN
ejpam-6384	49	8	θ2	θ2	PROPN
ejpam-6384	49	9	)	)	PUNCT
ejpam-6384	49	10	]	]	PUNCT
ejpam-6384	50	1	exist	exist	VERB
ejpam-6384	50	2	,	,	PUNCT
ejpam-6384	50	3	then	then	ADV
ejpam-6384	50	4	sθ1	sθ1	ADV
ejpam-6384	50	5	λ	λ	INTJ
ejpam-6384	50	6	hθ2	hθ2	NOUN
ejpam-6384	50	7	δ	δ	PROPN
ejpam-6384	51	1	[	[	X
ejpam-6384	51	2	χ	χ	X
ejpam-6384	51	3	(	(	PUNCT
ejpam-6384	51	4	λθ1	λθ1	NOUN
ejpam-6384	51	5	θ1	θ1	NOUN
ejpam-6384	51	6	,	,	PUNCT
ejpam-6384	51	7	δθ2	δθ2	PROPN
ejpam-6384	51	8	θ2	θ2	PROPN
ejpam-6384	51	9	)	)	PUNCT
ejpam-6384	51	10	]	]	PUNCT
ejpam-6384	52	1	=	=	PUNCT
ejpam-6384	52	2	sλhδ[χ(λ	sλhδ[χ(λ	PROPN
ejpam-6384	52	3	,	,	PUNCT
ejpam-6384	52	4	δ	δ	PROPN
ejpam-6384	52	5	)	)	PUNCT
ejpam-6384	52	6	]	]	PUNCT
ejpam-6384	52	7	,	,	PUNCT
ejpam-6384	52	8	where	where	SCONJ
ejpam-6384	52	9	sλhδ[χ(λ	sλhδ[χ(λ	PROPN
ejpam-6384	52	10	,	,	PUNCT
ejpam-6384	52	11	δ	δ	PROPN
ejpam-6384	52	12	)	)	PUNCT
ejpam-6384	52	13	]	]	PUNCT
ejpam-6384	52	14	=	=	SYM
ejpam-6384	52	15	1	1	NUM
ejpam-6384	52	16	ρ	ρ	PROPN
ejpam-6384	52	17	∞∫	∞∫	PROPN
ejpam-6384	52	18	0	0	NUM
ejpam-6384	52	19	∞∫	∞∫	NOUN
ejpam-6384	52	20	0	0	PUNCT
ejpam-6384	53	1	e	e	X
ejpam-6384	53	2	−	−	PROPN
ejpam-6384	53	3	(	(	PUNCT
ejpam-6384	53	4	λ	λ	PROPN
ejpam-6384	53	5	ρ	ρ	PROPN
ejpam-6384	53	6	+	+	X
ejpam-6384	53	7	ϵδ	ϵδ	PROPN
ejpam-6384	53	8	η	η	PROPN
ejpam-6384	53	9	)	)	PUNCT
ejpam-6384	53	10	χ(λ	χ(λ	PROPN
ejpam-6384	53	11	,	,	PUNCT
ejpam-6384	53	12	δ	δ	PROPN
ejpam-6384	53	13	)	)	PUNCT
ejpam-6384	53	14	dλ	dλ	NOUN
ejpam-6384	53	15	dδ	dδ	PROPN
ejpam-6384	53	16	.	.	PUNCT
ejpam-6384	54	1	lemma	lemma	PROPN
ejpam-6384	54	2	1	1	NUM
ejpam-6384	54	3	.	.	PUNCT
ejpam-6384	55	1	sθ1	sθ1	ADJ
ejpam-6384	55	2	λ	λ	INTJ
ejpam-6384	55	3	hθ2	hθ2	PROPN
ejpam-6384	55	4	δ	δ	X
ejpam-6384	55	5	(	(	PUNCT
ejpam-6384	55	6	χ(λ	χ(λ	PROPN
ejpam-6384	55	7	,	,	PUNCT
ejpam-6384	55	8	δ	δ	PROPN
ejpam-6384	55	9	)	)	PUNCT
ejpam-6384	55	10	)	)	PUNCT
ejpam-6384	55	11	is	be	AUX
ejpam-6384	55	12	a	a	DET
ejpam-6384	55	13	linear	linear	ADJ
ejpam-6384	55	14	transformation	transformation	NOUN
ejpam-6384	55	15	.	.	PUNCT
ejpam-6384	56	1	proof	proof	NOUN
ejpam-6384	56	2	.	.	PUNCT
ejpam-6384	57	1	for	for	ADP
ejpam-6384	57	2	nonzero	nonzero	PROPN
ejpam-6384	57	3	constants	constant	NOUN
ejpam-6384	57	4	a1	a1	NOUN
ejpam-6384	57	5	and	and	CCONJ
ejpam-6384	57	6	a2	a2	PROPN
ejpam-6384	57	7	,	,	PUNCT
ejpam-6384	57	8	we	we	PRON
ejpam-6384	57	9	have	have	VERB
ejpam-6384	57	10	sθ1	sθ1	ADV
ejpam-6384	57	11	λ	λ	INTJ
ejpam-6384	57	12	hθ2	hθ2	PROPN
ejpam-6384	57	13	δ	δ	X
ejpam-6384	57	14	(	(	PUNCT
ejpam-6384	57	15	a1χ1(λδ)+a2χ2(λ	a1χ1(λδ)+a2χ2(λ	PROPN
ejpam-6384	57	16	,	,	PUNCT
ejpam-6384	57	17	δ	δ	PROPN
ejpam-6384	57	18	)	)	PUNCT
ejpam-6384	57	19	)	)	PUNCT
ejpam-6384	58	1	=	=	SYM
ejpam-6384	58	2	1	1	NUM
ejpam-6384	58	3	ρ	ρ	PROPN
ejpam-6384	58	4	∞∫	∞∫	PROPN
ejpam-6384	58	5	0	0	NUM
ejpam-6384	58	6	∞∫	∞∫	NOUN
ejpam-6384	58	7	0	0	PUNCT
ejpam-6384	59	1	e	e	X
ejpam-6384	59	2	−	−	PROPN
ejpam-6384	59	3	(	(	PUNCT
ejpam-6384	59	4	λθ1	λθ1	PRON
ejpam-6384	59	5	ρθ1	ρθ1	NOUN
ejpam-6384	59	6	+	+	NOUN
ejpam-6384	59	7	ϵ	ϵ	PROPN
ejpam-6384	59	8	δ	δ	NOUN
ejpam-6384	59	9	θ2	θ2	PROPN
ejpam-6384	59	10	ηθ2	ηθ2	PROPN
ejpam-6384	59	11	)	)	PUNCT
ejpam-6384	59	12	(	(	PUNCT
ejpam-6384	59	13	a1χ1(λ	a1χ1(λ	PROPN
ejpam-6384	59	14	,	,	PUNCT
ejpam-6384	59	15	δ	δ	X
ejpam-6384	59	16	)	)	PUNCT
ejpam-6384	59	17	+	+	CCONJ
ejpam-6384	59	18	a2χ2(λ	a2χ2(λ	PROPN
ejpam-6384	59	19	,	,	PUNCT
ejpam-6384	59	20	δ))λ	δ))λ	NOUN
ejpam-6384	59	21	θ1−1δθ2−1dλdδ	θ1−1δθ2−1dλdδ	NOUN
ejpam-6384	59	22	=	=	SYM
ejpam-6384	59	23	a1	a1	PROPN
ejpam-6384	59	24	ρ	ρ	PROPN
ejpam-6384	59	25	∞∫	∞∫	PROPN
ejpam-6384	59	26	0	0	NUM
ejpam-6384	60	1	∞∫	∞∫	NOUN
ejpam-6384	60	2	0	0	PUNCT
ejpam-6384	61	1	e	e	X
ejpam-6384	61	2	−	−	PROPN
ejpam-6384	61	3	(	(	PUNCT
ejpam-6384	61	4	λθ1	λθ1	PRON
ejpam-6384	61	5	ρθ1	ρθ1	NOUN
ejpam-6384	61	6	+	+	NOUN
ejpam-6384	61	7	ϵ	ϵ	PROPN
ejpam-6384	61	8	δ	δ	NOUN
ejpam-6384	61	9	θ2	θ2	PROPN
ejpam-6384	61	10	ηθ2	ηθ2	PROPN
ejpam-6384	61	11	)	)	PUNCT
ejpam-6384	61	12	χ1(λ	χ1(λ	PROPN
ejpam-6384	61	13	,	,	PUNCT
ejpam-6384	61	14	δ)λ	δ)λ	NOUN
ejpam-6384	61	15	θ1−1δθ2−1dλdδ	θ1−1δθ2−1dλdδ	NOUN
ejpam-6384	61	16	+	+	CCONJ
ejpam-6384	61	17	a2	a2	PROPN
ejpam-6384	61	18	ρ	ρ	PROPN
ejpam-6384	61	19	∞∫	∞∫	PROPN
ejpam-6384	61	20	0	0	NUM
ejpam-6384	62	1	∞∫	∞∫	NOUN
ejpam-6384	62	2	0	0	PUNCT
ejpam-6384	63	1	e	e	X
ejpam-6384	63	2	−	−	PROPN
ejpam-6384	63	3	(	(	PUNCT
ejpam-6384	63	4	λθ1	λθ1	PRON
ejpam-6384	63	5	ρθ1	ρθ1	NOUN
ejpam-6384	63	6	+	+	NOUN
ejpam-6384	63	7	ϵ	ϵ	PROPN
ejpam-6384	63	8	δ	δ	NOUN
ejpam-6384	63	9	θ2	θ2	PROPN
ejpam-6384	63	10	ηθ2	ηθ2	PROPN
ejpam-6384	63	11	)	)	PUNCT
ejpam-6384	64	1	χ2(λ	χ2(λ	PROPN
ejpam-6384	64	2	,	,	PUNCT
ejpam-6384	64	3	δ)λ	δ)λ	NOUN
ejpam-6384	64	4	θ1−1δθ2−1dλdδ	θ1−1δθ2−1dλdδ	NOUN
ejpam-6384	64	5	=	=	SYM
ejpam-6384	64	6	a1s	a1s	PROPN
ejpam-6384	64	7	θ1	θ1	PROPN
ejpam-6384	64	8	λ	λ	PROPN
ejpam-6384	64	9	hθ2	hθ2	PROPN
ejpam-6384	64	10	δ	δ	PROPN
ejpam-6384	64	11	(	(	PUNCT
ejpam-6384	64	12	χ1(λ	χ1(λ	PROPN
ejpam-6384	64	13	,	,	PUNCT
ejpam-6384	64	14	δ	δ	NOUN
ejpam-6384	64	15	)	)	PUNCT
ejpam-6384	64	16	)	)	PUNCT
ejpam-6384	65	1	+	+	CCONJ
ejpam-6384	65	2	a2s	a2s	PROPN
ejpam-6384	65	3	θ1	θ1	NOUN
ejpam-6384	65	4	λ	λ	PROPN
ejpam-6384	65	5	hθ2	hθ2	NOUN
ejpam-6384	65	6	δ	δ	PROPN
ejpam-6384	65	7	(	(	PUNCT
ejpam-6384	65	8	χ2(λ	χ2(λ	PROPN
ejpam-6384	65	9	,	,	PUNCT
ejpam-6384	65	10	δ	δ	NOUN
ejpam-6384	65	11	)	)	PUNCT
ejpam-6384	65	12	)	)	PUNCT
ejpam-6384	65	13	.	.	PUNCT
ejpam-6384	66	1	if	if	SCONJ
ejpam-6384	66	2	χ(λ	χ(λ	PROPN
ejpam-6384	66	3	,	,	PUNCT
ejpam-6384	66	4	δ	δ	PROPN
ejpam-6384	66	5	)	)	PUNCT
ejpam-6384	66	6	can	can	AUX
ejpam-6384	66	7	be	be	AUX
ejpam-6384	66	8	written	write	VERB
ejpam-6384	66	9	as	as	ADP
ejpam-6384	66	10	χ(λ	χ(λ	PROPN
ejpam-6384	66	11	,	,	PUNCT
ejpam-6384	66	12	δ	δ	PROPN
ejpam-6384	66	13	)	)	PUNCT
ejpam-6384	66	14	=	=	SYM
ejpam-6384	66	15	p(λ)q(δ	p(λ)q(δ	X
ejpam-6384	66	16	)	)	PUNCT
ejpam-6384	66	17	for	for	ADP
ejpam-6384	66	18	some	some	DET
ejpam-6384	66	19	continuous	continuous	ADJ
ejpam-6384	66	20	functions	function	NOUN
ejpam-6384	66	21	p	p	NOUN
ejpam-6384	66	22	and	and	CCONJ
ejpam-6384	66	23	q	q	NOUN
ejpam-6384	66	24	,	,	PUNCT
ejpam-6384	66	25	then	then	ADV
ejpam-6384	66	26	sθ1	sθ1	ADV
ejpam-6384	66	27	λ	λ	INTJ
ejpam-6384	66	28	hθ2	hθ2	PROPN
ejpam-6384	66	29	δ	δ	X
ejpam-6384	66	30	(	(	PUNCT
ejpam-6384	66	31	χ(λ	χ(λ	PROPN
ejpam-6384	66	32	,	,	PUNCT
ejpam-6384	66	33	δ	δ	PROPN
ejpam-6384	66	34	)	)	PUNCT
ejpam-6384	66	35	)	)	PUNCT
ejpam-6384	67	1	=	=	PUNCT
ejpam-6384	67	2	sθ1	sθ1	ADJ
ejpam-6384	67	3	λ	λ	INTJ
ejpam-6384	67	4	(	(	PUNCT
ejpam-6384	67	5	p(λ))hθ2	p(λ))hθ2	PROPN
ejpam-6384	67	6	δ	δ	PROPN
ejpam-6384	67	7	(	(	PUNCT
ejpam-6384	67	8	q(δ	q(δ	NOUN
ejpam-6384	67	9	)	)	PUNCT
ejpam-6384	67	10	)	)	PUNCT
ejpam-6384	67	11	.	.	PUNCT
ejpam-6384	68	1	in	in	ADP
ejpam-6384	68	2	fact	fact	NOUN
ejpam-6384	68	3	sθ1	sθ1	ADV
ejpam-6384	68	4	λ	λ	INTJ
ejpam-6384	68	5	hθ2	hθ2	PROPN
ejpam-6384	68	6	δ	δ	X
ejpam-6384	68	7	(	(	PUNCT
ejpam-6384	68	8	χ(λ	χ(λ	PROPN
ejpam-6384	68	9	,	,	PUNCT
ejpam-6384	68	10	δ	δ	PROPN
ejpam-6384	68	11	)	)	PUNCT
ejpam-6384	68	12	)	)	PUNCT
ejpam-6384	69	1	=	=	PUNCT
ejpam-6384	69	2	sθ1	sθ1	INTJ
ejpam-6384	69	3	λ	λ	INTJ
ejpam-6384	69	4	hθ2	hθ2	PROPN
ejpam-6384	69	5	δ	δ	X
ejpam-6384	69	6	(	(	PUNCT
ejpam-6384	69	7	p(λ)q(δ	p(λ)q(δ	ADJ
ejpam-6384	69	8	)	)	PUNCT
ejpam-6384	69	9	)	)	PUNCT
ejpam-6384	69	10	m.	m.	NOUN
ejpam-6384	69	11	al	al	PROPN
ejpam-6384	69	12	-	-	PUNCT
ejpam-6384	69	13	momani	momani	PROPN
ejpam-6384	69	14	,	,	PUNCT
ejpam-6384	69	15	b.	b.	PROPN
ejpam-6384	69	16	abughazaleh	abughazaleh	PROPN
ejpam-6384	69	17	/	/	SYM
ejpam-6384	69	18	eur	eur	PROPN
ejpam-6384	69	19	.	.	PUNCT
ejpam-6384	70	1	j.	j.	PROPN
ejpam-6384	70	2	pure	pure	PROPN
ejpam-6384	70	3	appl	appl	PROPN
ejpam-6384	70	4	.	.	PROPN
ejpam-6384	70	5	math	math	PROPN
ejpam-6384	70	6	,	,	PUNCT
ejpam-6384	70	7	18	18	NUM
ejpam-6384	70	8	(	(	PUNCT
ejpam-6384	70	9	4	4	NUM
ejpam-6384	70	10	)	)	PUNCT
ejpam-6384	70	11	(	(	PUNCT
ejpam-6384	70	12	2025	2025	NUM
ejpam-6384	70	13	)	)	PUNCT
ejpam-6384	70	14	,	,	PUNCT
ejpam-6384	70	15	6384	6384	NUM
ejpam-6384	70	16	4	4	NUM
ejpam-6384	70	17	of	of	ADP
ejpam-6384	70	18	14	14	NUM
ejpam-6384	70	19	=	=	SYM
ejpam-6384	70	20	1	1	NUM
ejpam-6384	70	21	ρ	ρ	PROPN
ejpam-6384	70	22	∞∫	∞∫	PROPN
ejpam-6384	70	23	0	0	NUM
ejpam-6384	71	1	∞∫	∞∫	NOUN
ejpam-6384	71	2	0	0	PUNCT
ejpam-6384	72	1	e	e	X
ejpam-6384	72	2	−	−	PROPN
ejpam-6384	72	3	(	(	PUNCT
ejpam-6384	72	4	λθ1	λθ1	PRON
ejpam-6384	72	5	ρθ1	ρθ1	NOUN
ejpam-6384	72	6	+	+	NOUN
ejpam-6384	72	7	ϵ	ϵ	PROPN
ejpam-6384	72	8	δ	δ	NOUN
ejpam-6384	72	9	θ2	θ2	PROPN
ejpam-6384	72	10	ηθ2	ηθ2	PROPN
ejpam-6384	72	11	)	)	PUNCT
ejpam-6384	72	12	p(λ)q(δ)λθ1−1δθ2−1dλdδ	p(λ)q(δ)λθ1−1δθ2−1dλdδ	VERB
ejpam-6384	72	13	=	=	PUNCT
ejpam-6384	72	14	1	1	PROPN
ejpam-6384	72	15	ρ	ρ	PROPN
ejpam-6384	72	16	∞∫	∞∫	PROPN
ejpam-6384	72	17	0	0	PUNCT
ejpam-6384	73	1	e	e	NOUN
ejpam-6384	73	2	−λθ1	−λθ1	PROPN
ejpam-6384	73	3	ρθ1	ρθ1	NOUN
ejpam-6384	73	4	p(λ)λθ1−1dλ	p(λ)λθ1−1dλ	NOUN
ejpam-6384	73	5	∞∫	∞∫	PRON
ejpam-6384	73	6	0	0	PUNCT
ejpam-6384	73	7	e	e	X
ejpam-6384	73	8	−ϵ	−ϵ	PROPN
ejpam-6384	73	9	δ	δ	PROPN
ejpam-6384	73	10	θ2	θ2	PROPN
ejpam-6384	73	11	ηθ2	ηθ2	PROPN
ejpam-6384	73	12	q(δ)δθ2−1dδ	q(δ)δθ2−1dδ	VERB
ejpam-6384	74	1			PROPN
ejpam-6384	74	2	=	=	PUNCT
ejpam-6384	74	3	sθ1	sθ1	ADJ
ejpam-6384	74	4	λ	λ	PROPN
ejpam-6384	74	5	(	(	PUNCT
ejpam-6384	74	6	p(λ))hθ2	p(λ))hθ2	PROPN
ejpam-6384	74	7	δ	δ	PROPN
ejpam-6384	74	8	(	(	PUNCT
ejpam-6384	74	9	q(δ	q(δ	NOUN
ejpam-6384	74	10	)	)	PUNCT
ejpam-6384	74	11	)	)	PUNCT
ejpam-6384	74	12	.	.	PUNCT
ejpam-6384	75	1	3.1	3.1	NUM
ejpam-6384	75	2	.	.	PUNCT
ejpam-6384	76	1	the	the	DET
ejpam-6384	76	2	conformable	conformable	ADJ
ejpam-6384	76	3	double	double	ADJ
ejpam-6384	76	4	sumudu	sumudu	NOUN
ejpam-6384	76	5	-	-	PUNCT
ejpam-6384	76	6	shehu	shehu	NOUN
ejpam-6384	76	7	transform	transform	NOUN
ejpam-6384	76	8	for	for	ADP
ejpam-6384	76	9	some	some	DET
ejpam-6384	76	10	basic	basic	ADJ
ejpam-6384	76	11	functions	function	NOUN
ejpam-6384	76	12	(	(	PUNCT
ejpam-6384	76	13	i	i	NOUN
ejpam-6384	76	14	)	)	PUNCT
ejpam-6384	76	15	sθ1	sθ1	ADV
ejpam-6384	77	1	λ	λ	INTJ
ejpam-6384	77	2	hθ2	hθ2	NOUN
ejpam-6384	77	3	δ	δ	PROPN
ejpam-6384	78	1	[	[	X
ejpam-6384	78	2	c	c	X
ejpam-6384	78	3	]	]	X
ejpam-6384	78	4	=	=	PUNCT
ejpam-6384	79	1	sθ1	sθ1	INTJ
ejpam-6384	79	2	λ	λ	INTJ
ejpam-6384	79	3	hθ2	hθ2	NOUN
ejpam-6384	79	4	δ	δ	PROPN
ejpam-6384	80	1	[	[	X
ejpam-6384	80	2	c	c	X
ejpam-6384	80	3	]	]	X
ejpam-6384	80	4	=	=	PUNCT
ejpam-6384	80	5	cη	cη	ADP
ejpam-6384	80	6	ϵ	ϵ	NOUN
ejpam-6384	80	7	,	,	PUNCT
ejpam-6384	80	8	c	c	PROPN
ejpam-6384	80	9	∈	∈	PROPN
ejpam-6384	80	10	r	r	NOUN
ejpam-6384	80	11	,	,	PUNCT
ejpam-6384	80	12	(	(	PUNCT
ejpam-6384	80	13	ii	ii	NOUN
ejpam-6384	80	14	)	)	PUNCT
ejpam-6384	81	1	sθ1	sθ1	ADV
ejpam-6384	81	2	λ	λ	INTJ
ejpam-6384	81	3	hθ2	hθ2	NOUN
ejpam-6384	81	4	δ	δ	X
ejpam-6384	81	5	[	[	PUNCT
ejpam-6384	81	6	e	e	X
ejpam-6384	81	7	a1	a1	NOUN
ejpam-6384	81	8	λθ1	λθ1	NOUN
ejpam-6384	81	9	θ1	θ1	NOUN
ejpam-6384	81	10	+	+	SYM
ejpam-6384	81	11	a2	a2	PROPN
ejpam-6384	81	12	δθ2	δθ2	NOUN
ejpam-6384	81	13	θ2	θ2	PROPN
ejpam-6384	81	14	]	]	PUNCT
ejpam-6384	82	1	=	=	PUNCT
ejpam-6384	82	2	sθ1	sθ1	INTJ
ejpam-6384	82	3	λ	λ	INTJ
ejpam-6384	82	4	hθ2	hθ2	NOUN
ejpam-6384	82	5	δ	δ	PROPN
ejpam-6384	83	1	[	[	X
ejpam-6384	83	2	ea1λ+a2δ	ea1λ+a2δ	PROPN
ejpam-6384	83	3	]	]	X
ejpam-6384	83	4	=	=	SYM
ejpam-6384	83	5	η	η	X
ejpam-6384	83	6	(	(	PUNCT
ejpam-6384	83	7	1−	1−	NUM
ejpam-6384	83	8	a1ρ	a1ρ	ADJ
ejpam-6384	83	9	)	)	PUNCT
ejpam-6384	83	10	(	(	PUNCT
ejpam-6384	83	11	ϵ−	ϵ−	NOUN
ejpam-6384	83	12	a2η	a2η	NOUN
ejpam-6384	83	13	)	)	PUNCT
ejpam-6384	83	14	,	,	PUNCT
ejpam-6384	83	15	re	re	ADP
ejpam-6384	83	16	(	(	PUNCT
ejpam-6384	83	17	1	1	NUM
ejpam-6384	83	18	ρ	ρ	NOUN
ejpam-6384	83	19	)	)	PUNCT
ejpam-6384	83	20	>	>	X
ejpam-6384	83	21	re(a1	re(a1	NOUN
ejpam-6384	83	22	)	)	PUNCT
ejpam-6384	83	23	,	,	PUNCT
ejpam-6384	83	24	(	(	PUNCT
ejpam-6384	83	25	iii	iii	NOUN
ejpam-6384	83	26	)	)	PUNCT
ejpam-6384	83	27	sθ1	sθ1	ADV
ejpam-6384	84	1	λ	λ	INTJ
ejpam-6384	84	2	hθ2	hθ2	NOUN
ejpam-6384	84	3	δ	δ	X
ejpam-6384	85	1	[	[	X
ejpam-6384	85	2	(	(	PUNCT
ejpam-6384	85	3	λθ1	λθ1	PROPN
ejpam-6384	85	4	θ1	θ1	NOUN
ejpam-6384	85	5	)	)	PUNCT
ejpam-6384	85	6	a1	a1	NOUN
ejpam-6384	85	7	(	(	PUNCT
ejpam-6384	85	8	δθ2	δθ2	PROPN
ejpam-6384	85	9	θ2	θ2	PROPN
ejpam-6384	85	10	)	)	PUNCT
ejpam-6384	85	11	a2	a2	PROPN
ejpam-6384	85	12	]	]	PUNCT
ejpam-6384	85	13	=	=	PUNCT
ejpam-6384	86	1	sθ1	sθ1	INTJ
ejpam-6384	86	2	λ	λ	INTJ
ejpam-6384	86	3	hθ2	hθ2	NOUN
ejpam-6384	86	4	δ	δ	X
ejpam-6384	87	1	[	[	X
ejpam-6384	87	2	λa1δa2	λa1δa2	X
ejpam-6384	87	3	]	]	X
ejpam-6384	87	4	=	=	PUNCT
ejpam-6384	88	1	ρa1ηa2	ρa1ηa2	X
ejpam-6384	88	2	+	+	ADJ
ejpam-6384	88	3	1	1	NUM
ejpam-6384	88	4	ϵa2	ϵa2	NOUN
ejpam-6384	88	5	+	+	SYM
ejpam-6384	88	6	1	1	NUM
ejpam-6384	88	7	γ(a1	γ(a1	NOUN
ejpam-6384	88	8	+	+	CCONJ
ejpam-6384	88	9	1)γ(a2	1)γ(a2	NUM
ejpam-6384	89	1	+	+	NOUN
ejpam-6384	89	2	1	1	NUM
ejpam-6384	89	3	)	)	PUNCT
ejpam-6384	89	4	,	,	PUNCT
ejpam-6384	89	5	re	re	ADP
ejpam-6384	89	6	(	(	PUNCT
ejpam-6384	89	7	1	1	NUM
ejpam-6384	89	8	ρ	ρ	NOUN
ejpam-6384	89	9	)	)	PUNCT
ejpam-6384	89	10	>	>	SYM
ejpam-6384	89	11	0	0	NUM
ejpam-6384	89	12	and	and	CCONJ
ejpam-6384	89	13	re(a1	re(a1	NOUN
ejpam-6384	89	14	)	)	PUNCT
ejpam-6384	89	15	>	>	X
ejpam-6384	90	1	−1	−1	NOUN
ejpam-6384	90	2	.	.	PUNCT
ejpam-6384	91	1	3.2	3.2	NUM
ejpam-6384	91	2	.	.	PUNCT
ejpam-6384	92	1	existence	existence	NOUN
ejpam-6384	92	2	condition	condition	NOUN
ejpam-6384	92	3	for	for	ADP
ejpam-6384	92	4	the	the	DET
ejpam-6384	92	5	conformable	conformable	ADJ
ejpam-6384	92	6	double	double	ADJ
ejpam-6384	92	7	sumudu	sumudu	NOUN
ejpam-6384	92	8	-	-	PUNCT
ejpam-6384	92	9	shehu	shehu	NOUN
ejpam-6384	92	10	transform	transform	VERB
ejpam-6384	92	11	definition	definition	NOUN
ejpam-6384	92	12	4	4	NUM
ejpam-6384	92	13	.	.	PUNCT
ejpam-6384	93	1	let	let	VERB
ejpam-6384	93	2	0	0	NUM
ejpam-6384	93	3	<	<	X
ejpam-6384	93	4	θ1	θ1	NOUN
ejpam-6384	93	5	,	,	PUNCT
ejpam-6384	93	6	θ2	θ2	ADV
ejpam-6384	93	7	≤	≤	ADV
ejpam-6384	93	8	1	1	NUM
ejpam-6384	93	9	.	.	PUNCT
ejpam-6384	94	1	then	then	ADV
ejpam-6384	94	2	a	a	DET
ejpam-6384	94	3	function	function	NOUN
ejpam-6384	94	4	χ(λ	χ(λ	PROPN
ejpam-6384	94	5	,	,	PUNCT
ejpam-6384	94	6	δ	δ	PROPN
ejpam-6384	94	7	)	)	PUNCT
ejpam-6384	94	8	is	be	AUX
ejpam-6384	94	9	said	say	VERB
ejpam-6384	94	10	to	to	PART
ejpam-6384	94	11	be	be	AUX
ejpam-6384	94	12	of	of	ADP
ejpam-6384	94	13	conformable	conformable	ADJ
ejpam-6384	94	14	exponential	exponential	ADJ
ejpam-6384	94	15	orders	order	NOUN
ejpam-6384	94	16	a1	a1	NOUN
ejpam-6384	94	17	and	and	CCONJ
ejpam-6384	94	18	a2	a2	PROPN
ejpam-6384	94	19	on	on	ADP
ejpam-6384	94	20	0	0	NUM
ejpam-6384	94	21	<	<	X
ejpam-6384	94	22	λ	λ	X
ejpam-6384	94	23	<	<	X
ejpam-6384	94	24	∞	∞	PROPN
ejpam-6384	94	25	and	and	CCONJ
ejpam-6384	94	26	0	0	NUM
ejpam-6384	94	27	<	<	X
ejpam-6384	94	28	δ	δ	X
ejpam-6384	94	29	<	<	X
ejpam-6384	94	30	∞.	∞.	PROPN
ejpam-6384	94	31	if	if	SCONJ
ejpam-6384	94	32	there	there	PRON
ejpam-6384	94	33	exist	exist	VERB
ejpam-6384	94	34	a	a	DET
ejpam-6384	94	35	,	,	PUNCT
ejpam-6384	94	36	b	b	NOUN
ejpam-6384	94	37	,	,	PUNCT
ejpam-6384	94	38	c	c	X
ejpam-6384	94	39	>	>	X
ejpam-6384	94	40	0	0	NUM
ejpam-6384	95	1	such	such	ADJ
ejpam-6384	95	2	that	that	SCONJ
ejpam-6384	95	3	|χ(λ	|χ(λ	PROPN
ejpam-6384	95	4	,	,	PUNCT
ejpam-6384	95	5	δ)|	δ)|	PROPN
ejpam-6384	95	6	≤	≤	PUNCT
ejpam-6384	96	1	ae	ae	PROPN
ejpam-6384	96	2	a1	a1	PROPN
ejpam-6384	96	3	λθ1	λθ1	PROPN
ejpam-6384	96	4	θ1	θ1	PROPN
ejpam-6384	96	5	+	+	SYM
ejpam-6384	96	6	a2	a2	PROPN
ejpam-6384	96	7	δθ2	δθ2	NOUN
ejpam-6384	96	8	θ2	θ2	PROPN
ejpam-6384	96	9	,	,	PUNCT
ejpam-6384	96	10	for	for	ADP
ejpam-6384	96	11	all	all	DET
ejpam-6384	96	12	λθ1	λθ1	NOUN
ejpam-6384	96	13	θ1	θ1	NOUN
ejpam-6384	96	14	>	>	X
ejpam-6384	96	15	b	b	PROPN
ejpam-6384	96	16	,	,	PUNCT
ejpam-6384	96	17	δθ2	δθ2	PROPN
ejpam-6384	96	18	θ2	θ2	PROPN
ejpam-6384	96	19	>	>	X
ejpam-6384	96	20	c.	c.	PROPN
ejpam-6384	96	21	theorem	theorem	VERB
ejpam-6384	96	22	3	3	X
ejpam-6384	96	23	.	.	PUNCT
ejpam-6384	97	1	let	let	VERB
ejpam-6384	97	2	0	0	NUM
ejpam-6384	97	3	<	<	X
ejpam-6384	97	4	θ1	θ1	NOUN
ejpam-6384	97	5	,	,	PUNCT
ejpam-6384	97	6	θ2	θ2	ADV
ejpam-6384	97	7	≤	≤	ADV
ejpam-6384	97	8	1	1	NUM
ejpam-6384	97	9	and	and	CCONJ
ejpam-6384	97	10	χ(λ	χ(λ	PROPN
ejpam-6384	97	11	,	,	PUNCT
ejpam-6384	97	12	δ	δ	PROPN
ejpam-6384	97	13	)	)	PUNCT
ejpam-6384	97	14	be	be	VERB
ejpam-6384	97	15	a	a	DET
ejpam-6384	97	16	continuous	continuous	ADJ
ejpam-6384	97	17	function	function	NOUN
ejpam-6384	97	18	on	on	ADP
ejpam-6384	97	19	the	the	DET
ejpam-6384	97	20	region	region	NOUN
ejpam-6384	97	21	(	(	PUNCT
ejpam-6384	97	22	0,∞)×	0,∞)×	NUM
ejpam-6384	97	23	(	(	PUNCT
ejpam-6384	97	24	0,∞	0,∞	NOUN
ejpam-6384	97	25	)	)	PUNCT
ejpam-6384	97	26	of	of	ADP
ejpam-6384	97	27	conformable	conformable	ADJ
ejpam-6384	97	28	exponential	exponential	ADJ
ejpam-6384	97	29	orders	order	NOUN
ejpam-6384	97	30	a1	a1	NOUN
ejpam-6384	97	31	and	and	CCONJ
ejpam-6384	97	32	a2	a2	PROPN
ejpam-6384	97	33	.	.	PUNCT
ejpam-6384	98	1	then	then	ADV
ejpam-6384	98	2	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	98	3	,	,	PUNCT
ejpam-6384	98	4	ϵ	ϵ	X
ejpam-6384	98	5	,	,	PUNCT
ejpam-6384	98	6	η	η	NOUN
ejpam-6384	98	7	)	)	PUNCT
ejpam-6384	98	8	=	=	PUNCT
ejpam-6384	98	9	sθ1	sθ1	ADJ
ejpam-6384	98	10	λ	λ	INTJ
ejpam-6384	98	11	hθ2	hθ2	NOUN
ejpam-6384	98	12	δ	δ	PROPN
ejpam-6384	99	1	[	[	X
ejpam-6384	99	2	χ(λ	χ(λ	PROPN
ejpam-6384	99	3	,	,	PUNCT
ejpam-6384	99	4	δ	δ	PROPN
ejpam-6384	99	5	)	)	PUNCT
ejpam-6384	99	6	]	]	PUNCT
ejpam-6384	99	7	exists	exist	VERB
ejpam-6384	99	8	for	for	ADP
ejpam-6384	99	9	ρ	ρ	PROPN
ejpam-6384	99	10	,	,	PUNCT
ejpam-6384	99	11	η	η	PROPN
ejpam-6384	99	12	whenever	whenever	SCONJ
ejpam-6384	99	13	re(1ρ	re(1ρ	ADP
ejpam-6384	99	14	)	)	PUNCT
ejpam-6384	99	15	>	>	X
ejpam-6384	99	16	a1	a1	NOUN
ejpam-6384	99	17	and	and	CCONJ
ejpam-6384	99	18	re	re	ADJ
ejpam-6384	99	19	(	(	PUNCT
ejpam-6384	99	20	ϵ	ϵ	PROPN
ejpam-6384	99	21	η	η	PROPN
ejpam-6384	99	22	)	)	PUNCT
ejpam-6384	99	23	>	>	X
ejpam-6384	99	24	a2	a2	PROPN
ejpam-6384	99	25	.	.	PUNCT
ejpam-6384	100	1	m.	m.	PROPN
ejpam-6384	100	2	al	al	PROPN
ejpam-6384	100	3	-	-	PUNCT
ejpam-6384	100	4	momani	momani	PROPN
ejpam-6384	100	5	,	,	PUNCT
ejpam-6384	100	6	b.	b.	PROPN
ejpam-6384	100	7	abughazaleh	abughazaleh	PROPN
ejpam-6384	100	8	/	/	SYM
ejpam-6384	100	9	eur	eur	PROPN
ejpam-6384	100	10	.	.	PUNCT
ejpam-6384	101	1	j.	j.	PROPN
ejpam-6384	101	2	pure	pure	PROPN
ejpam-6384	101	3	appl	appl	PROPN
ejpam-6384	101	4	.	.	PROPN
ejpam-6384	101	5	math	math	PROPN
ejpam-6384	101	6	,	,	PUNCT
ejpam-6384	101	7	18	18	NUM
ejpam-6384	101	8	(	(	PUNCT
ejpam-6384	101	9	4	4	NUM
ejpam-6384	101	10	)	)	PUNCT
ejpam-6384	101	11	(	(	PUNCT
ejpam-6384	101	12	2025	2025	NUM
ejpam-6384	101	13	)	)	PUNCT
ejpam-6384	101	14	,	,	PUNCT
ejpam-6384	101	15	6384	6384	NUM
ejpam-6384	101	16	5	5	NUM
ejpam-6384	101	17	of	of	ADP
ejpam-6384	101	18	14	14	NUM
ejpam-6384	101	19	proof	proof	NOUN
ejpam-6384	101	20	.	.	PUNCT
ejpam-6384	102	1	we	we	PRON
ejpam-6384	102	2	have	have	VERB
ejpam-6384	102	3	|ψ(ρ	|ψ(ρ	PROPN
ejpam-6384	102	4	,	,	PUNCT
ejpam-6384	102	5	ϵ	ϵ	X
ejpam-6384	102	6	,	,	PUNCT
ejpam-6384	102	7	η)|	η)|	PROPN
ejpam-6384	102	8	=	=	PUNCT
ejpam-6384	102	9	∣∣∣∣∣∣1ρ	∣∣∣∣∣∣1ρ	PROPN
ejpam-6384	102	10	∞∫	∞∫	NOUN
ejpam-6384	102	11	0	0	NUM
ejpam-6384	103	1	∞∫	∞∫	NOUN
ejpam-6384	103	2	0	0	PUNCT
ejpam-6384	104	1	e	e	X
ejpam-6384	104	2	−	−	PROPN
ejpam-6384	104	3	(	(	PUNCT
ejpam-6384	104	4	λθ1	λθ1	PRON
ejpam-6384	104	5	ρθ1	ρθ1	NOUN
ejpam-6384	104	6	+	+	NOUN
ejpam-6384	104	7	ϵ	ϵ	PROPN
ejpam-6384	104	8	δ	δ	NOUN
ejpam-6384	104	9	θ2	θ2	PROPN
ejpam-6384	104	10	ηθ2	ηθ2	PROPN
ejpam-6384	104	11	)	)	PUNCT
ejpam-6384	105	1	χ(λ	χ(λ	PROPN
ejpam-6384	105	2	,	,	PUNCT
ejpam-6384	105	3	δ)λθ1−1δθ2−1	δ)λθ1−1δθ2−1	NOUN
ejpam-6384	105	4	dλdδ	dλdδ	NOUN
ejpam-6384	105	5	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-6384	105	6	≤	≤	ADJ
ejpam-6384	105	7	1	1	NUM
ejpam-6384	105	8	ρ	ρ	PROPN
ejpam-6384	105	9	∞∫	∞∫	PROPN
ejpam-6384	105	10	0	0	NUM
ejpam-6384	106	1	∞∫	∞∫	NOUN
ejpam-6384	106	2	0	0	PUNCT
ejpam-6384	107	1	e	e	X
ejpam-6384	107	2	−	−	PROPN
ejpam-6384	107	3	(	(	PUNCT
ejpam-6384	107	4	λθ1	λθ1	PRON
ejpam-6384	107	5	ρθ1	ρθ1	NOUN
ejpam-6384	107	6	+	+	NOUN
ejpam-6384	107	7	ϵ	ϵ	PROPN
ejpam-6384	107	8	δ	δ	NOUN
ejpam-6384	107	9	θ2	θ2	PROPN
ejpam-6384	107	10	ηθ2	ηθ2	PROPN
ejpam-6384	107	11	)	)	PUNCT
ejpam-6384	107	12	|χ(λ	|χ(λ	PROPN
ejpam-6384	107	13	,	,	PUNCT
ejpam-6384	107	14	δ)|λθ1−1δθ2−1dλdδ	δ)|λθ1−1δθ2−1dλdδ	VERB
ejpam-6384	107	15	≤	≤	NUM
ejpam-6384	108	1	a	a	DET
ejpam-6384	108	2	ρ	ρ	NOUN
ejpam-6384	108	3	∞∫	∞∫	PROPN
ejpam-6384	108	4	0	0	NUM
ejpam-6384	108	5	∞∫	∞∫	NOUN
ejpam-6384	108	6	0	0	PUNCT
ejpam-6384	109	1	e	e	X
ejpam-6384	109	2	−	−	PROPN
ejpam-6384	109	3	(	(	PUNCT
ejpam-6384	109	4	λθ1	λθ1	PRON
ejpam-6384	109	5	ρθ1	ρθ1	NOUN
ejpam-6384	109	6	+	+	NOUN
ejpam-6384	109	7	ϵ	ϵ	PROPN
ejpam-6384	109	8	δ	δ	NOUN
ejpam-6384	109	9	θ2	θ2	PROPN
ejpam-6384	109	10	ηθ2	ηθ2	PROPN
ejpam-6384	109	11	)	)	PUNCT
ejpam-6384	110	1	e	e	X
ejpam-6384	110	2	a1	a1	NOUN
ejpam-6384	110	3	λθ1	λθ1	NOUN
ejpam-6384	110	4	θ1	θ1	NOUN
ejpam-6384	110	5	+	+	SYM
ejpam-6384	110	6	a2	a2	PROPN
ejpam-6384	110	7	δθ2	δθ2	NOUN
ejpam-6384	110	8	θ2	θ2	PROPN
ejpam-6384	110	9	λθ1−1δθ2−1dλdδ	λθ1−1δθ2−1dλdδ	PROPN
ejpam-6384	110	10	=	=	PUNCT
ejpam-6384	110	11	a	a	DET
ejpam-6384	110	12	1	1	PROPN
ejpam-6384	110	13	ρ	ρ	NUM
ejpam-6384	110	14	∞∫	∞∫	PROPN
ejpam-6384	110	15	0	0	PUNCT
ejpam-6384	110	16	e	e	X
ejpam-6384	110	17	−	−	PROPN
ejpam-6384	110	18	(	(	PUNCT
ejpam-6384	110	19	1	1	NUM
ejpam-6384	110	20	ρ	ρ	NUM
ejpam-6384	110	21	−a1	−a1	PROPN
ejpam-6384	110	22	)	)	PUNCT
ejpam-6384	110	23	λθ1	λθ1	NOUN
ejpam-6384	110	24	θ1	θ1	NOUN
ejpam-6384	110	25	λθ1−1dλ	λθ1−1dλ	VERB
ejpam-6384	110	26	∞∫	∞∫	PRON
ejpam-6384	110	27	0	0	NUM
ejpam-6384	110	28	e	e	X
ejpam-6384	110	29	−	−	PROPN
ejpam-6384	110	30	(	(	PUNCT
ejpam-6384	110	31	ϵ	ϵ	PROPN
ejpam-6384	110	32	η	η	PROPN
ejpam-6384	110	33	−a2	−a2	PROPN
ejpam-6384	110	34	)	)	PUNCT
ejpam-6384	110	35	δθ2	δθ2	PROPN
ejpam-6384	111	1	θ2	θ2	PROPN
ejpam-6384	111	2	δθ2−1dδ	δθ2−1dδ	VERB
ejpam-6384	111	3			PROPN
ejpam-6384	111	4	=	=	SYM
ejpam-6384	111	5	aη	aη	PROPN
ejpam-6384	111	6	(	(	PUNCT
ejpam-6384	111	7	1−	1−	NUM
ejpam-6384	111	8	a1ρ	a1ρ	ADJ
ejpam-6384	111	9	)	)	PUNCT
ejpam-6384	111	10	(	(	PUNCT
ejpam-6384	111	11	ϵ−	ϵ−	NOUN
ejpam-6384	111	12	a2η	a2η	NOUN
ejpam-6384	111	13	)	)	PUNCT
ejpam-6384	111	14	,	,	PUNCT
ejpam-6384	111	15	where	where	SCONJ
ejpam-6384	111	16	re(1ρ	re(1ρ	NOUN
ejpam-6384	111	17	)	)	PUNCT
ejpam-6384	111	18	>	>	X
ejpam-6384	111	19	a1	a1	NOUN
ejpam-6384	111	20	and	and	CCONJ
ejpam-6384	111	21	re	re	ADJ
ejpam-6384	111	22	(	(	PUNCT
ejpam-6384	111	23	ϵ	ϵ	PROPN
ejpam-6384	111	24	η	η	PROPN
ejpam-6384	111	25	)	)	PUNCT
ejpam-6384	111	26	>	>	X
ejpam-6384	111	27	a2	a2	PROPN
ejpam-6384	111	28	.	.	PUNCT
ejpam-6384	111	29	3.3	3.3	NUM
ejpam-6384	111	30	.	.	PUNCT
ejpam-6384	112	1	derivatives	derivative	NOUN
ejpam-6384	112	2	properties	property	NOUN
ejpam-6384	112	3	now	now	ADV
ejpam-6384	112	4	,	,	PUNCT
ejpam-6384	112	5	we	we	PRON
ejpam-6384	112	6	present	present	VERB
ejpam-6384	112	7	some	some	DET
ejpam-6384	112	8	basic	basic	ADJ
ejpam-6384	112	9	properties	property	NOUN
ejpam-6384	112	10	of	of	ADP
ejpam-6384	112	11	the	the	DET
ejpam-6384	112	12	cd	cd	PROPN
ejpam-6384	112	13	-	-	PUNCT
ejpam-6384	112	14	ssh	ssh	NOUN
ejpam-6384	112	15	let	let	VERB
ejpam-6384	112	16	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	112	17	,	,	PUNCT
ejpam-6384	112	18	ϵ	ϵ	X
ejpam-6384	112	19	,	,	PUNCT
ejpam-6384	112	20	η	η	NOUN
ejpam-6384	112	21	)	)	PUNCT
ejpam-6384	112	22	=	=	PUNCT
ejpam-6384	113	1	sθ1	sθ1	ADJ
ejpam-6384	113	2	λ	λ	INTJ
ejpam-6384	113	3	hθ2	hθ2	PROPN
ejpam-6384	113	4	δ	δ	X
ejpam-6384	113	5	(	(	PUNCT
ejpam-6384	113	6	χ(λ	χ(λ	PROPN
ejpam-6384	113	7	,	,	PUNCT
ejpam-6384	113	8	δ	δ	PROPN
ejpam-6384	113	9	)	)	PUNCT
ejpam-6384	113	10	)	)	PUNCT
ejpam-6384	113	11	where	where	SCONJ
ejpam-6384	113	12	χ(λ	χ(λ	PROPN
ejpam-6384	113	13	,	,	PUNCT
ejpam-6384	113	14	δ	δ	PROPN
ejpam-6384	113	15	)	)	PUNCT
ejpam-6384	113	16	is	be	AUX
ejpam-6384	113	17	a	a	DET
ejpam-6384	113	18	continuous	continuous	ADJ
ejpam-6384	113	19	function	function	NOUN
ejpam-6384	113	20	on	on	ADP
ejpam-6384	113	21	(	(	PUNCT
ejpam-6384	113	22	0,∞	0,∞	NOUN
ejpam-6384	113	23	)	)	PUNCT
ejpam-6384	113	24	×	×	NOUN
ejpam-6384	113	25	(	(	PUNCT
ejpam-6384	113	26	0,∞	0,∞	NUM
ejpam-6384	113	27	)	)	PUNCT
ejpam-6384	113	28	.	.	PUNCT
ejpam-6384	114	1	then	then	ADV
ejpam-6384	114	2	(	(	PUNCT
ejpam-6384	114	3	i	i	NOUN
ejpam-6384	114	4	)	)	PUNCT
ejpam-6384	115	1	sθ1	sθ1	ADV
ejpam-6384	115	2	λ	λ	INTJ
ejpam-6384	115	3	hθ2	hθ2	PROPN
ejpam-6384	115	4	δ	δ	X
ejpam-6384	115	5	(	(	PUNCT
ejpam-6384	115	6	∂θ1χ(λ	∂θ1χ(λ	PROPN
ejpam-6384	115	7	,	,	PUNCT
ejpam-6384	115	8	δ	δ	PROPN
ejpam-6384	115	9	)	)	PUNCT
ejpam-6384	115	10	∂λθ1	∂λθ1	NOUN
ejpam-6384	115	11	)	)	PUNCT
ejpam-6384	116	1	=	=	SYM
ejpam-6384	116	2	1	1	NUM
ejpam-6384	116	3	ρ	ρ	PRON
ejpam-6384	116	4	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	116	5	,	,	PUNCT
ejpam-6384	116	6	ϵ	ϵ	X
ejpam-6384	116	7	,	,	PUNCT
ejpam-6384	116	8	η)−	η)−	PROPN
ejpam-6384	116	9	1	1	NUM
ejpam-6384	116	10	ρ	ρ	NUM
ejpam-6384	116	11	hθ2	hθ2	PROPN
ejpam-6384	116	12	δ	δ	PROPN
ejpam-6384	116	13	(	(	PUNCT
ejpam-6384	116	14	χ(0	χ(0	PROPN
ejpam-6384	116	15	,	,	PUNCT
ejpam-6384	116	16	δ	δ	PROPN
ejpam-6384	116	17	)	)	PUNCT
ejpam-6384	116	18	)	)	PUNCT
ejpam-6384	116	19	,	,	PUNCT
ejpam-6384	116	20	(	(	PUNCT
ejpam-6384	116	21	1	1	X
ejpam-6384	116	22	)	)	PUNCT
ejpam-6384	116	23	(	(	PUNCT
ejpam-6384	116	24	ii	ii	NOUN
ejpam-6384	116	25	)	)	PUNCT
ejpam-6384	116	26	sθ1	sθ1	ADV
ejpam-6384	117	1	λ	λ	INTJ
ejpam-6384	117	2	hθ2	hθ2	PROPN
ejpam-6384	117	3	δ	δ	X
ejpam-6384	117	4	(	(	PUNCT
ejpam-6384	117	5	∂2θ1χ(λ	∂2θ1χ(λ	PROPN
ejpam-6384	117	6	,	,	PUNCT
ejpam-6384	117	7	δ	δ	PROPN
ejpam-6384	117	8	)	)	PUNCT
ejpam-6384	117	9	∂λ2θ1	∂λ2θ1	PROPN
ejpam-6384	117	10	)	)	PUNCT
ejpam-6384	118	1	=	=	SYM
ejpam-6384	118	2	1	1	NUM
ejpam-6384	118	3	ρ2	ρ2	PROPN
ejpam-6384	118	4	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	118	5	,	,	PUNCT
ejpam-6384	118	6	ϵ	ϵ	X
ejpam-6384	118	7	,	,	PUNCT
ejpam-6384	118	8	η)−	η)−	PROPN
ejpam-6384	118	9	1	1	NUM
ejpam-6384	118	10	ρ2	ρ2	VERB
ejpam-6384	118	11	hθ2	hθ2	PROPN
ejpam-6384	118	12	δ	δ	PROPN
ejpam-6384	118	13	(	(	PUNCT
ejpam-6384	118	14	χ(0	χ(0	PROPN
ejpam-6384	118	15	,	,	PUNCT
ejpam-6384	118	16	δ))−	δ))−	NOUN
ejpam-6384	118	17	1	1	NUM
ejpam-6384	118	18	ρ	ρ	NUM
ejpam-6384	118	19	hθ2	hθ2	PROPN
ejpam-6384	118	20	δ	δ	PROPN
ejpam-6384	118	21	(	(	PUNCT
ejpam-6384	118	22	∂θ1χ(0	∂θ1χ(0	PROPN
ejpam-6384	118	23	,	,	PUNCT
ejpam-6384	118	24	δ	δ	PROPN
ejpam-6384	118	25	)	)	PUNCT
ejpam-6384	118	26	∂λθ1	∂λθ1	NOUN
ejpam-6384	118	27	)	)	PUNCT
ejpam-6384	118	28	,	,	PUNCT
ejpam-6384	118	29	(	(	PUNCT
ejpam-6384	118	30	2	2	X
ejpam-6384	118	31	)	)	PUNCT
ejpam-6384	118	32	(	(	PUNCT
ejpam-6384	118	33	iii	iii	NOUN
ejpam-6384	118	34	)	)	PUNCT
ejpam-6384	118	35	sθ1	sθ1	ADV
ejpam-6384	119	1	λ	λ	INTJ
ejpam-6384	119	2	hθ2	hθ2	PROPN
ejpam-6384	119	3	δ	δ	X
ejpam-6384	119	4	(	(	PUNCT
ejpam-6384	119	5	∂θ2χ(λ	∂θ2χ(λ	PROPN
ejpam-6384	119	6	,	,	PUNCT
ejpam-6384	119	7	δ	δ	PROPN
ejpam-6384	119	8	)	)	PUNCT
ejpam-6384	119	9	∂δθ2	∂δθ2	ADP
ejpam-6384	119	10	)	)	PUNCT
ejpam-6384	120	1	=	=	PUNCT
ejpam-6384	120	2	ϵ	ϵ	X
ejpam-6384	120	3	η	η	X
ejpam-6384	120	4	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	120	5	,	,	PUNCT
ejpam-6384	120	6	ϵ	ϵ	X
ejpam-6384	120	7	,	,	PUNCT
ejpam-6384	120	8	η)−	η)−	PROPN
ejpam-6384	120	9	sθ1	sθ1	ADJ
ejpam-6384	120	10	λ	λ	PROPN
ejpam-6384	120	11	(	(	PUNCT
ejpam-6384	120	12	χ(λ	χ(λ	PROPN
ejpam-6384	120	13	,	,	PUNCT
ejpam-6384	120	14	0	0	NUM
ejpam-6384	120	15	)	)	PUNCT
ejpam-6384	120	16	)	)	PUNCT
ejpam-6384	120	17	,	,	PUNCT
ejpam-6384	120	18	(	(	PUNCT
ejpam-6384	120	19	3	3	X
ejpam-6384	120	20	)	)	PUNCT
ejpam-6384	120	21	(	(	PUNCT
ejpam-6384	120	22	iv	iv	X
ejpam-6384	120	23	)	)	PUNCT
ejpam-6384	120	24	sθ1	sθ1	ADV
ejpam-6384	121	1	λ	λ	INTJ
ejpam-6384	121	2	hθ2	hθ2	PROPN
ejpam-6384	121	3	δ	δ	X
ejpam-6384	121	4	(	(	PUNCT
ejpam-6384	121	5	∂2θ2χ(λ	∂2θ2χ(λ	PROPN
ejpam-6384	121	6	,	,	PUNCT
ejpam-6384	121	7	δ	δ	PROPN
ejpam-6384	121	8	)	)	PUNCT
ejpam-6384	121	9	∂δ2θ2	∂δ2θ2	NOUN
ejpam-6384	121	10	)	)	PUNCT
ejpam-6384	122	1	=	=	PUNCT
ejpam-6384	122	2	ϵ2	ϵ2	PROPN
ejpam-6384	122	3	η2	η2	VERB
ejpam-6384	122	4	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	122	5	,	,	PUNCT
ejpam-6384	122	6	ϵ	ϵ	X
ejpam-6384	122	7	,	,	PUNCT
ejpam-6384	122	8	η)−	η)−	PROPN
ejpam-6384	122	9	ϵ	ϵ	PROPN
ejpam-6384	122	10	η	η	PROPN
ejpam-6384	122	11	sθ1	sθ1	PROPN
ejpam-6384	122	12	λ	λ	PROPN
ejpam-6384	122	13	(	(	PUNCT
ejpam-6384	122	14	χ(λ	χ(λ	PROPN
ejpam-6384	122	15	,	,	PUNCT
ejpam-6384	122	16	0))−	0))−	NOUN
ejpam-6384	123	1	sθ1	sθ1	ADJ
ejpam-6384	123	2	λ	λ	INTJ
ejpam-6384	123	3	(	(	PUNCT
ejpam-6384	123	4	∂θ2χ(λ	∂θ2χ(λ	NOUN
ejpam-6384	123	5	,	,	PUNCT
ejpam-6384	123	6	0	0	NUM
ejpam-6384	123	7	)	)	PUNCT
ejpam-6384	123	8	∂δθ2	∂δθ2	NUM
ejpam-6384	123	9	)	)	PUNCT
ejpam-6384	123	10	.	.	PUNCT
ejpam-6384	124	1	(	(	PUNCT
ejpam-6384	124	2	4	4	X
ejpam-6384	124	3	)	)	PUNCT
ejpam-6384	124	4	m.	m.	NOUN
ejpam-6384	124	5	al	al	PROPN
ejpam-6384	124	6	-	-	PUNCT
ejpam-6384	124	7	momani	momani	PROPN
ejpam-6384	124	8	,	,	PUNCT
ejpam-6384	124	9	b.	b.	PROPN
ejpam-6384	124	10	abughazaleh	abughazaleh	PROPN
ejpam-6384	124	11	/	/	SYM
ejpam-6384	124	12	eur	eur	PROPN
ejpam-6384	124	13	.	.	PUNCT
ejpam-6384	125	1	j.	j.	PROPN
ejpam-6384	125	2	pure	pure	PROPN
ejpam-6384	125	3	appl	appl	PROPN
ejpam-6384	125	4	.	.	PROPN
ejpam-6384	125	5	math	math	PROPN
ejpam-6384	125	6	,	,	PUNCT
ejpam-6384	125	7	18	18	NUM
ejpam-6384	125	8	(	(	PUNCT
ejpam-6384	125	9	4	4	NUM
ejpam-6384	125	10	)	)	PUNCT
ejpam-6384	125	11	(	(	PUNCT
ejpam-6384	125	12	2025	2025	NUM
ejpam-6384	125	13	)	)	PUNCT
ejpam-6384	125	14	,	,	PUNCT
ejpam-6384	125	15	6384	6384	NUM
ejpam-6384	125	16	6	6	NUM
ejpam-6384	125	17	of	of	ADP
ejpam-6384	125	18	14	14	NUM
ejpam-6384	125	19	proof	proof	NOUN
ejpam-6384	125	20	.	.	PUNCT
ejpam-6384	126	1	proof	proof	NOUN
ejpam-6384	126	2	of	of	ADP
ejpam-6384	126	3	equation	equation	NOUN
ejpam-6384	126	4	1	1	NUM
ejpam-6384	126	5	sθ1	sθ1	NOUN
ejpam-6384	127	1	λ	λ	INTJ
ejpam-6384	127	2	hθ2	hθ2	PROPN
ejpam-6384	127	3	δ	δ	X
ejpam-6384	127	4	(	(	PUNCT
ejpam-6384	127	5	∂θ1χ(λ	∂θ1χ(λ	PROPN
ejpam-6384	127	6	,	,	PUNCT
ejpam-6384	127	7	δ	δ	PROPN
ejpam-6384	127	8	)	)	PUNCT
ejpam-6384	127	9	∂λθ1	∂λθ1	NOUN
ejpam-6384	127	10	)	)	PUNCT
ejpam-6384	128	1	=	=	SYM
ejpam-6384	128	2	1	1	NUM
ejpam-6384	128	3	ρ	ρ	PROPN
ejpam-6384	128	4	∞∫	∞∫	PROPN
ejpam-6384	128	5	0	0	NUM
ejpam-6384	129	1	∞∫	∞∫	NOUN
ejpam-6384	129	2	0	0	PUNCT
ejpam-6384	130	1	e	e	X
ejpam-6384	130	2	−	−	PROPN
ejpam-6384	130	3	(	(	PUNCT
ejpam-6384	130	4	λθ1	λθ1	PRON
ejpam-6384	130	5	ρθ1	ρθ1	NOUN
ejpam-6384	131	1	+	+	NOUN
ejpam-6384	131	2	ϵ	ϵ	PROPN
ejpam-6384	131	3	δ	δ	NOUN
ejpam-6384	131	4	θ2	θ2	PROPN
ejpam-6384	131	5	ηθ2	ηθ2	NOUN
ejpam-6384	131	6	)	)	PUNCT
ejpam-6384	131	7	∂θ1χ(λ	∂θ1χ(λ	NOUN
ejpam-6384	131	8	,	,	PUNCT
ejpam-6384	131	9	δ	δ	PROPN
ejpam-6384	131	10	)	)	PUNCT
ejpam-6384	131	11	∂λθ1	∂λθ1	NOUN
ejpam-6384	131	12	λθ1−1δθ2−1dλdδ	λθ1−1δθ2−1dλdδ	NOUN
ejpam-6384	131	13	.	.	PUNCT
ejpam-6384	132	1	by	by	ADP
ejpam-6384	132	2	theorem	theorem	NOUN
ejpam-6384	132	3	1	1	NUM
ejpam-6384	132	4	,	,	PUNCT
ejpam-6384	132	5	we	we	PRON
ejpam-6384	132	6	have	have	VERB
ejpam-6384	132	7	∂θ1χ(λ	∂θ1χ(λ	NOUN
ejpam-6384	132	8	,	,	PUNCT
ejpam-6384	132	9	δ	δ	NOUN
ejpam-6384	132	10	)	)	PUNCT
ejpam-6384	132	11	∂λθ1	∂λθ1	X
ejpam-6384	132	12	=	=	SYM
ejpam-6384	133	1	λ1−θ1	λ1−θ1	SYM
ejpam-6384	133	2	∂χ(λ	∂χ(λ	PROPN
ejpam-6384	133	3	,	,	PUNCT
ejpam-6384	133	4	δ	δ	PROPN
ejpam-6384	133	5	)	)	PUNCT
ejpam-6384	133	6	∂λ	∂λ	PROPN
ejpam-6384	133	7	.	.	PUNCT
ejpam-6384	134	1	so	so	ADV
ejpam-6384	134	2	,	,	PUNCT
ejpam-6384	134	3	sθ1	sθ1	ADV
ejpam-6384	134	4	λ	λ	INTJ
ejpam-6384	134	5	hθ2	hθ2	PROPN
ejpam-6384	134	6	δ	δ	X
ejpam-6384	134	7	(	(	PUNCT
ejpam-6384	134	8	∂θ1χ(λ	∂θ1χ(λ	PROPN
ejpam-6384	134	9	,	,	PUNCT
ejpam-6384	134	10	δ	δ	PROPN
ejpam-6384	134	11	)	)	PUNCT
ejpam-6384	134	12	∂λθ1	∂λθ1	NOUN
ejpam-6384	134	13	)	)	PUNCT
ejpam-6384	135	1	=	=	SYM
ejpam-6384	135	2	1	1	NUM
ejpam-6384	135	3	ρ	ρ	PROPN
ejpam-6384	135	4	∞∫	∞∫	PROPN
ejpam-6384	135	5	0	0	PUNCT
ejpam-6384	135	6	e	e	PROPN
ejpam-6384	135	7	−ϵ	−ϵ	PROPN
ejpam-6384	135	8	δ	δ	PROPN
ejpam-6384	135	9	θ2	θ2	PROPN
ejpam-6384	135	10	ηθ2	ηθ2	PROPN
ejpam-6384	135	11	δθ2−1	δθ2−1	VERB
ejpam-6384	135	12	∞∫	∞∫	PROPN
ejpam-6384	135	13	0	0	PUNCT
ejpam-6384	136	1	e	e	NOUN
ejpam-6384	136	2	−λθ1	−λθ1	PROPN
ejpam-6384	136	3	ρθ1	ρθ1	PROPN
ejpam-6384	136	4	∂χ(λ	∂χ(λ	PROPN
ejpam-6384	136	5	,	,	PUNCT
ejpam-6384	136	6	δ	δ	NOUN
ejpam-6384	136	7	)	)	PUNCT
ejpam-6384	136	8	∂λ	∂λ	PROPN
ejpam-6384	136	9	dλdδ	dλdδ	NOUN
ejpam-6384	136	10	.	.	PUNCT
ejpam-6384	137	1	by	by	ADP
ejpam-6384	137	2	integrating	integrate	VERB
ejpam-6384	137	3	by	by	ADP
ejpam-6384	137	4	parts	part	NOUN
ejpam-6384	137	5	,	,	PUNCT
ejpam-6384	137	6	we	we	PRON
ejpam-6384	137	7	get	get	VERB
ejpam-6384	137	8	sθ1	sθ1	ADJ
ejpam-6384	138	1	λ	λ	INTJ
ejpam-6384	138	2	hθ2	hθ2	PROPN
ejpam-6384	138	3	δ	δ	X
ejpam-6384	138	4	(	(	PUNCT
ejpam-6384	138	5	∂θ1χ(λ	∂θ1χ(λ	PROPN
ejpam-6384	138	6	,	,	PUNCT
ejpam-6384	138	7	δ	δ	PROPN
ejpam-6384	138	8	)	)	PUNCT
ejpam-6384	138	9	∂λθ1	∂λθ1	NOUN
ejpam-6384	138	10	)	)	PUNCT
ejpam-6384	139	1	=	=	SYM
ejpam-6384	139	2	1	1	NUM
ejpam-6384	139	3	ρ	ρ	PROPN
ejpam-6384	139	4	∞∫	∞∫	PROPN
ejpam-6384	139	5	0	0	PUNCT
ejpam-6384	139	6	e	e	PROPN
ejpam-6384	139	7	−ϵ	−ϵ	PROPN
ejpam-6384	139	8	δ	δ	PROPN
ejpam-6384	139	9	θ2	θ2	PROPN
ejpam-6384	139	10	ηθ2	ηθ2	PROPN
ejpam-6384	139	11	δθ2−1	δθ2−1	ADP
ejpam-6384	139	12	−χ(0	−χ(0	PROPN
ejpam-6384	139	13	,	,	PUNCT
ejpam-6384	139	14	δ	δ	PROPN
ejpam-6384	139	15	)	)	PUNCT
ejpam-6384	140	1	+	+	CCONJ
ejpam-6384	140	2	1	1	NUM
ejpam-6384	140	3	ρ	ρ	NUM
ejpam-6384	140	4	∞∫	∞∫	NOUN
ejpam-6384	140	5	0	0	PUNCT
ejpam-6384	141	1	e	e	NOUN
ejpam-6384	141	2	−λθ1	−λθ1	PROPN
ejpam-6384	141	3	ρθ1	ρθ1	NOUN
ejpam-6384	141	4	χ(λ	χ(λ	PROPN
ejpam-6384	141	5	,	,	PUNCT
ejpam-6384	141	6	δ)λθ1−1	δ)λθ1−1	NOUN
ejpam-6384	141	7	dλ	dλ	NOUN
ejpam-6384	141	8			PROPN
ejpam-6384	141	9	dδ	dδ	ADP
ejpam-6384	141	10	=	=	PUNCT
ejpam-6384	141	11	−1	−1	NOUN
ejpam-6384	141	12	ρ	ρ	PROPN
ejpam-6384	141	13	∞∫	∞∫	PROPN
ejpam-6384	141	14	0	0	PUNCT
ejpam-6384	142	1	e	e	PROPN
ejpam-6384	142	2	−ϵ	−ϵ	PROPN
ejpam-6384	142	3	δ	δ	PROPN
ejpam-6384	142	4	θ2	θ2	PROPN
ejpam-6384	142	5	ηθ2	ηθ2	PROPN
ejpam-6384	142	6	χ(0	χ(0	PROPN
ejpam-6384	142	7	,	,	PUNCT
ejpam-6384	142	8	δ)δθ2−1dδ	δ)δθ2−1dδ	PROPN
ejpam-6384	142	9	+	+	CCONJ
ejpam-6384	142	10	1	1	NUM
ejpam-6384	142	11	ρ2	ρ2	NOUN
ejpam-6384	142	12	∞∫	∞∫	NOUN
ejpam-6384	142	13	0	0	NUM
ejpam-6384	143	1	∞∫	∞∫	NOUN
ejpam-6384	143	2	0	0	PUNCT
ejpam-6384	144	1	e	e	X
ejpam-6384	144	2	−	−	PROPN
ejpam-6384	144	3	(	(	PUNCT
ejpam-6384	144	4	λθ1	λθ1	PRON
ejpam-6384	144	5	ρθ1	ρθ1	NOUN
ejpam-6384	144	6	+	+	NOUN
ejpam-6384	144	7	ϵ	ϵ	PROPN
ejpam-6384	144	8	δ	δ	NOUN
ejpam-6384	144	9	θ2	θ2	PROPN
ejpam-6384	144	10	ηθ2	ηθ2	PROPN
ejpam-6384	144	11	)	)	PUNCT
ejpam-6384	145	1	χ(λ	χ(λ	PROPN
ejpam-6384	145	2	,	,	PUNCT
ejpam-6384	145	3	δ)λθ1−1δθ2−1dλdδ	δ)λθ1−1δθ2−1dλdδ	NOUN
ejpam-6384	145	4	=	=	SYM
ejpam-6384	145	5	1	1	NUM
ejpam-6384	145	6	ρ	ρ	PRON
ejpam-6384	145	7	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	145	8	,	,	PUNCT
ejpam-6384	145	9	ϵ	ϵ	X
ejpam-6384	145	10	,	,	PUNCT
ejpam-6384	145	11	η)−	η)−	PROPN
ejpam-6384	145	12	1	1	NUM
ejpam-6384	145	13	ρ	ρ	NUM
ejpam-6384	145	14	hθ2	hθ2	PROPN
ejpam-6384	145	15	δ	δ	PROPN
ejpam-6384	145	16	(	(	PUNCT
ejpam-6384	145	17	χ(0	χ(0	PROPN
ejpam-6384	145	18	,	,	PUNCT
ejpam-6384	145	19	δ	δ	PROPN
ejpam-6384	145	20	)	)	PUNCT
ejpam-6384	145	21	)	)	PUNCT
ejpam-6384	145	22	.	.	PUNCT
ejpam-6384	146	1	the	the	DET
ejpam-6384	146	2	proof	proof	NOUN
ejpam-6384	146	3	of	of	ADP
ejpam-6384	146	4	equations	equation	NOUN
ejpam-6384	146	5	2	2	NUM
ejpam-6384	146	6	,	,	PUNCT
ejpam-6384	146	7	3	3	NUM
ejpam-6384	146	8	and	and	CCONJ
ejpam-6384	146	9	4	4	NUM
ejpam-6384	146	10	follow	follow	VERB
ejpam-6384	146	11	using	use	VERB
ejpam-6384	146	12	the	the	DET
ejpam-6384	146	13	same	same	ADJ
ejpam-6384	146	14	steps	step	NOUN
ejpam-6384	146	15	.	.	PUNCT
ejpam-6384	147	1	in	in	ADP
ejpam-6384	147	2	table	table	NOUN
ejpam-6384	147	3	1	1	NUM
ejpam-6384	147	4	,	,	PUNCT
ejpam-6384	147	5	we	we	PRON
ejpam-6384	147	6	have	have	VERB
ejpam-6384	147	7	the	the	DET
ejpam-6384	147	8	cd	cd	PROPN
ejpam-6384	147	9	-	-	PUNCT
ejpam-6384	147	10	ssh	ssh	NOUN
ejpam-6384	147	11	of	of	ADP
ejpam-6384	147	12	some	some	DET
ejpam-6384	147	13	basic	basic	ADJ
ejpam-6384	147	14	functions	function	NOUN
ejpam-6384	147	15	.	.	PUNCT
ejpam-6384	148	1	m.	m.	NOUN
ejpam-6384	148	2	al	al	PROPN
ejpam-6384	148	3	-	-	PUNCT
ejpam-6384	148	4	momani	momani	PROPN
ejpam-6384	148	5	,	,	PUNCT
ejpam-6384	148	6	b.	b.	PROPN
ejpam-6384	148	7	abughazaleh	abughazaleh	PROPN
ejpam-6384	148	8	/	/	SYM
ejpam-6384	148	9	eur	eur	PROPN
ejpam-6384	148	10	.	.	PUNCT
ejpam-6384	149	1	j.	j.	PROPN
ejpam-6384	149	2	pure	pure	PROPN
ejpam-6384	149	3	appl	appl	PROPN
ejpam-6384	149	4	.	.	PROPN
ejpam-6384	149	5	math	math	PROPN
ejpam-6384	149	6	,	,	PUNCT
ejpam-6384	149	7	18	18	NUM
ejpam-6384	149	8	(	(	PUNCT
ejpam-6384	149	9	4	4	NUM
ejpam-6384	149	10	)	)	PUNCT
ejpam-6384	149	11	(	(	PUNCT
ejpam-6384	149	12	2025	2025	NUM
ejpam-6384	149	13	)	)	PUNCT
ejpam-6384	149	14	,	,	PUNCT
ejpam-6384	149	15	6384	6384	NUM
ejpam-6384	149	16	7	7	NUM
ejpam-6384	149	17	of	of	ADP
ejpam-6384	149	18	14	14	NUM
ejpam-6384	149	19	table	table	NOUN
ejpam-6384	149	20	1	1	NUM
ejpam-6384	149	21	:	:	PUNCT
ejpam-6384	149	22	table	table	NOUN
ejpam-6384	149	23	of	of	ADP
ejpam-6384	149	24	cd	cd	PROPN
ejpam-6384	149	25	-	-	PUNCT
ejpam-6384	149	26	ssh	ssh	NOUN
ejpam-6384	149	27	χ(λ	χ(λ	PROPN
ejpam-6384	149	28	,	,	PUNCT
ejpam-6384	149	29	δ	δ	PROPN
ejpam-6384	149	30	)	)	PUNCT
ejpam-6384	149	31	sθ1	sθ1	ADV
ejpam-6384	150	1	λ	λ	INTJ
ejpam-6384	150	2	hθ2	hθ2	PROPN
ejpam-6384	150	3	δ	δ	X
ejpam-6384	150	4	(	(	PUNCT
ejpam-6384	150	5	χ(λ	χ(λ	PROPN
ejpam-6384	150	6	,	,	PUNCT
ejpam-6384	150	7	δ	δ	PROPN
ejpam-6384	150	8	)	)	PUNCT
ejpam-6384	150	9	)	)	PUNCT
ejpam-6384	151	1	c	c	NOUN
ejpam-6384	152	1	cη	cη	PROPN
ejpam-6384	152	2	ϵ	ϵ	PROPN
ejpam-6384	152	3	,	,	PUNCT
ejpam-6384	152	4	re(ρ	re(ρ	ADJ
ejpam-6384	152	5	)	)	PUNCT
ejpam-6384	152	6	>	>	X
ejpam-6384	152	7	0	0	PUNCT
ejpam-6384	152	8	(	(	PUNCT
ejpam-6384	152	9	λθ1	λθ1	NOUN
ejpam-6384	152	10	θ1	θ1	NOUN
ejpam-6384	152	11	)	)	PUNCT
ejpam-6384	152	12	a1	a1	NOUN
ejpam-6384	152	13	(	(	PUNCT
ejpam-6384	152	14	δθ2	δθ2	PROPN
ejpam-6384	152	15	θ2	θ2	PROPN
ejpam-6384	152	16	)	)	PUNCT
ejpam-6384	152	17	a2	a2	PROPN
ejpam-6384	152	18	ρa1ηa2	ρa1ηa2	ADV
ejpam-6384	152	19	+	+	ADJ
ejpam-6384	152	20	1	1	NUM
ejpam-6384	152	21	ϵa2	ϵa2	NOUN
ejpam-6384	152	22	+	+	SYM
ejpam-6384	152	23	1	1	NUM
ejpam-6384	152	24	γ(a1	γ(a1	NOUN
ejpam-6384	153	1	+	+	CCONJ
ejpam-6384	153	2	1)γ(a2	1)γ(a2	NUM
ejpam-6384	154	1	+	+	NOUN
ejpam-6384	154	2	1	1	NUM
ejpam-6384	154	3	)	)	PUNCT
ejpam-6384	154	4	,	,	PUNCT
ejpam-6384	154	5	re(ρ	re(ρ	X
ejpam-6384	154	6	)	)	PUNCT
ejpam-6384	154	7	>	>	X
ejpam-6384	154	8	0	0	NUM
ejpam-6384	154	9	and	and	CCONJ
ejpam-6384	154	10	re(a1	re(a1	NOUN
ejpam-6384	154	11	)	)	PUNCT
ejpam-6384	154	12	>	>	X
ejpam-6384	154	13	−1	−1	NOUN
ejpam-6384	154	14	e	e	VERB
ejpam-6384	154	15	a1	a1	NOUN
ejpam-6384	154	16	λθ1	λθ1	NOUN
ejpam-6384	154	17	θ1	θ1	NOUN
ejpam-6384	154	18	+	+	SYM
ejpam-6384	154	19	a2	a2	PROPN
ejpam-6384	154	20	δθ2	δθ2	PROPN
ejpam-6384	154	21	θ2	θ2	PROPN
ejpam-6384	154	22	η	η	PROPN
ejpam-6384	154	23	(	(	PUNCT
ejpam-6384	154	24	1−a1ρ)(ϵ−a2η	1−a1ρ)(ϵ−a2η	PROPN
ejpam-6384	154	25	)	)	PUNCT
ejpam-6384	154	26	,	,	PUNCT
ejpam-6384	154	27	re(1ρ	re(1ρ	NUM
ejpam-6384	154	28	)	)	PUNCT
ejpam-6384	154	29	>	>	X
ejpam-6384	154	30	re(a1	re(a1	NOUN
ejpam-6384	154	31	)	)	PUNCT
ejpam-6384	154	32	e	e	NOUN
ejpam-6384	155	1	i	i	PRON
ejpam-6384	155	2	(	(	PUNCT
ejpam-6384	155	3	a1	a1	PROPN
ejpam-6384	155	4	λθ1	λθ1	NOUN
ejpam-6384	155	5	θ1	θ1	NOUN
ejpam-6384	155	6	+	+	SYM
ejpam-6384	155	7	a2	a2	PROPN
ejpam-6384	155	8	δθ2	δθ2	PROPN
ejpam-6384	155	9	θ2	θ2	PROPN
ejpam-6384	155	10	)	)	PUNCT
ejpam-6384	155	11	iη	iη	VERB
ejpam-6384	155	12	(	(	PUNCT
ejpam-6384	155	13	i+a1ρ)(ϵ−ia2η	i+a1ρ)(ϵ−ia2η	NOUN
ejpam-6384	155	14	)	)	PUNCT
ejpam-6384	155	15	,	,	PUNCT
ejpam-6384	155	16	im(a1	im(a1	NOUN
ejpam-6384	155	17	)	)	PUNCT
ejpam-6384	155	18	+	+	CCONJ
ejpam-6384	155	19	re(1ρ	re(1ρ	NUM
ejpam-6384	155	20	)	)	PUNCT
ejpam-6384	155	21	>	>	SYM
ejpam-6384	155	22	0	0	NUM
ejpam-6384	156	1	sin	sin	NOUN
ejpam-6384	156	2	(	(	PUNCT
ejpam-6384	156	3	a1	a1	NOUN
ejpam-6384	156	4	λθ1	λθ1	NOUN
ejpam-6384	156	5	θ1	θ1	NOUN
ejpam-6384	156	6	+	+	CCONJ
ejpam-6384	156	7	a2	a2	PROPN
ejpam-6384	156	8	δθ2	δθ2	PROPN
ejpam-6384	156	9	θ2	θ2	PROPN
ejpam-6384	156	10	)	)	PUNCT
ejpam-6384	156	11	η(ρϵa1+ηa2	η(ρϵa1+ηa2	ADV
ejpam-6384	156	12	)	)	PUNCT
ejpam-6384	156	13	(	(	PUNCT
ejpam-6384	156	14	1+a21ρ	1+a21ρ	NUM
ejpam-6384	156	15	2)(ϵ2+a22η	2)(ϵ2+a22η	NUM
ejpam-6384	156	16	2	2	NUM
ejpam-6384	156	17	)	)	PUNCT
ejpam-6384	156	18	,	,	PUNCT
ejpam-6384	156	19	|im(a1)|	|im(a1)|	VERB
ejpam-6384	156	20	<	<	X
ejpam-6384	156	21	re(1ρ	re(1ρ	NUM
ejpam-6384	156	22	)	)	PUNCT
ejpam-6384	156	23	cos	cos	PROPN
ejpam-6384	156	24	(	(	PUNCT
ejpam-6384	156	25	a1	a1	PROPN
ejpam-6384	156	26	λθ1	λθ1	NOUN
ejpam-6384	156	27	θ1	θ1	NOUN
ejpam-6384	156	28	+	+	CCONJ
ejpam-6384	156	29	a2	a2	PROPN
ejpam-6384	156	30	δθ2	δθ2	PROPN
ejpam-6384	156	31	θ2	θ2	ADV
ejpam-6384	156	32	)	)	PUNCT
ejpam-6384	156	33	η(ϵ−ρηa1a2	η(ϵ−ρηa1a2	PROPN
ejpam-6384	156	34	)	)	PUNCT
ejpam-6384	156	35	(	(	PUNCT
ejpam-6384	156	36	1+a21ρ	1+a21ρ	NUM
ejpam-6384	156	37	2)(ϵ2+a22η	2)(ϵ2+a22η	NUM
ejpam-6384	156	38	2	2	NUM
ejpam-6384	156	39	)	)	PUNCT
ejpam-6384	156	40	,	,	PUNCT
ejpam-6384	156	41	|im(a1)|	|im(a1)|	VERB
ejpam-6384	156	42	<	<	X
ejpam-6384	156	43	re(1ρ	re(1ρ	PRON
ejpam-6384	156	44	)	)	PUNCT
ejpam-6384	156	45	sinh	sinh	NOUN
ejpam-6384	156	46	(	(	PUNCT
ejpam-6384	156	47	a1	a1	NOUN
ejpam-6384	156	48	λθ1	λθ1	NOUN
ejpam-6384	156	49	θ1	θ1	NOUN
ejpam-6384	156	50	+	+	CCONJ
ejpam-6384	156	51	a2	a2	PROPN
ejpam-6384	156	52	δθ2	δθ2	PROPN
ejpam-6384	156	53	θ2	θ2	PROPN
ejpam-6384	156	54	)	)	PUNCT
ejpam-6384	156	55	η(ρϵa1+ηa2	η(ρϵa1+ηa2	ADV
ejpam-6384	156	56	)	)	PUNCT
ejpam-6384	156	57	(	(	PUNCT
ejpam-6384	156	58	ρ2a21−1)(ϵ2−a22η	ρ2a21−1)(ϵ2−a22η	NOUN
ejpam-6384	156	59	2	2	NUM
ejpam-6384	156	60	)	)	PUNCT
ejpam-6384	156	61	,	,	PUNCT
ejpam-6384	156	62	re(1ρ	re(1ρ	NUM
ejpam-6384	156	63	)	)	PUNCT
ejpam-6384	156	64	>	>	X
ejpam-6384	156	65	re(a1	re(a1	NOUN
ejpam-6384	156	66	)	)	PUNCT
ejpam-6384	156	67	and	and	CCONJ
ejpam-6384	156	68	re(1ρ	re(1ρ	NUM
ejpam-6384	156	69	)	)	PUNCT
ejpam-6384	156	70	+	+	SYM
ejpam-6384	156	71	re(a1	re(a1	NOUN
ejpam-6384	156	72	)	)	PUNCT
ejpam-6384	156	73	>	>	SYM
ejpam-6384	156	74	0	0	NUM
ejpam-6384	157	1	cosh	cosh	NOUN
ejpam-6384	157	2	(	(	PUNCT
ejpam-6384	157	3	a1	a1	NOUN
ejpam-6384	157	4	λθ1	λθ1	NOUN
ejpam-6384	157	5	θ1	θ1	NOUN
ejpam-6384	157	6	+	+	CCONJ
ejpam-6384	157	7	a2	a2	PROPN
ejpam-6384	157	8	δθ2	δθ2	PROPN
ejpam-6384	157	9	θ2	θ2	ADV
ejpam-6384	157	10	)	)	PUNCT
ejpam-6384	157	11	η(ϵ−ρηa1a2	η(ϵ−ρηa1a2	PROPN
ejpam-6384	157	12	)	)	PUNCT
ejpam-6384	157	13	(	(	PUNCT
ejpam-6384	157	14	ρ2a21−1)(ϵ2−a22η	ρ2a21−1)(ϵ2−a22η	NOUN
ejpam-6384	157	15	2	2	NUM
ejpam-6384	157	16	)	)	PUNCT
ejpam-6384	157	17	,	,	PUNCT
ejpam-6384	157	18	re(1ρ	re(1ρ	NUM
ejpam-6384	157	19	)	)	PUNCT
ejpam-6384	157	20	>	>	X
ejpam-6384	157	21	re(a1	re(a1	NOUN
ejpam-6384	157	22	)	)	PUNCT
ejpam-6384	157	23	and	and	CCONJ
ejpam-6384	157	24	re(1ρ	re(1ρ	NUM
ejpam-6384	157	25	)	)	PUNCT
ejpam-6384	157	26	+	+	SYM
ejpam-6384	157	27	re(a1	re(a1	NOUN
ejpam-6384	157	28	)	)	PUNCT
ejpam-6384	157	29	>	>	SYM
ejpam-6384	157	30	0	0	NUM
ejpam-6384	157	31	p(λ)q(δ	p(λ)q(δ	X
ejpam-6384	157	32	)	)	PUNCT
ejpam-6384	157	33	sθ1	sθ1	ADJ
ejpam-6384	157	34	λ	λ	INTJ
ejpam-6384	157	35	(	(	PUNCT
ejpam-6384	157	36	p(λ))hθ2	p(λ))hθ2	PROPN
ejpam-6384	157	37	δ	δ	PROPN
ejpam-6384	157	38	(	(	PUNCT
ejpam-6384	157	39	q(δ	q(δ	NOUN
ejpam-6384	157	40	)	)	PUNCT
ejpam-6384	157	41	)	)	PUNCT
ejpam-6384	158	1	4	4	NUM
ejpam-6384	158	2	.	.	PUNCT
ejpam-6384	158	3	applications	application	NOUN
ejpam-6384	158	4	in	in	ADP
ejpam-6384	158	5	this	this	DET
ejpam-6384	158	6	section	section	NOUN
ejpam-6384	158	7	,	,	PUNCT
ejpam-6384	158	8	we	we	PRON
ejpam-6384	158	9	use	use	VERB
ejpam-6384	158	10	the	the	DET
ejpam-6384	158	11	cd	cd	PROPN
ejpam-6384	158	12	-	-	PUNCT
ejpam-6384	158	13	ssh	ssh	NOUN
ejpam-6384	158	14	for	for	ADP
ejpam-6384	158	15	solving	solve	VERB
ejpam-6384	158	16	conformable	conformable	ADJ
ejpam-6384	158	17	partial	partial	ADJ
ejpam-6384	158	18	differential	differential	NOUN
ejpam-6384	158	19	equations	equation	NOUN
ejpam-6384	158	20	example	example	VERB
ejpam-6384	158	21	1	1	X
ejpam-6384	158	22	.	.	X
ejpam-6384	158	23	consider	consider	VERB
ejpam-6384	158	24	the	the	DET
ejpam-6384	158	25	conformable	conformable	ADJ
ejpam-6384	158	26	wave	wave	NOUN
ejpam-6384	158	27	equation	equation	NOUN
ejpam-6384	158	28	∂2θ1χ(λ	∂2θ1χ(λ	NOUN
ejpam-6384	158	29	,	,	PUNCT
ejpam-6384	158	30	δ	δ	PROPN
ejpam-6384	158	31	)	)	PUNCT
ejpam-6384	158	32	∂λ2θ1	∂λ2θ1	PROPN
ejpam-6384	158	33	+	+	CCONJ
ejpam-6384	158	34	9	9	NUM
ejpam-6384	158	35	∂2θ2χ(λ	∂2θ2χ(λ	NOUN
ejpam-6384	158	36	,	,	PUNCT
ejpam-6384	158	37	δ	δ	PROPN
ejpam-6384	158	38	)	)	PUNCT
ejpam-6384	158	39	∂δ2θ2	∂δ2θ2	NOUN
ejpam-6384	158	40	=	=	SYM
ejpam-6384	158	41	18	18	NUM
ejpam-6384	158	42	,	,	PUNCT
ejpam-6384	158	43	where	where	SCONJ
ejpam-6384	158	44	λ	λ	PROPN
ejpam-6384	158	45	,	,	PUNCT
ejpam-6384	158	46	δ	δ	PROPN
ejpam-6384	158	47	>	>	X
ejpam-6384	158	48	0	0	NUM
ejpam-6384	158	49	.	.	PUNCT
ejpam-6384	159	1	(	(	PUNCT
ejpam-6384	159	2	5	5	NUM
ejpam-6384	159	3	)	)	PUNCT
ejpam-6384	159	4	with	with	ADP
ejpam-6384	159	5	initial	initial	ADJ
ejpam-6384	159	6	conditions	condition	NOUN
ejpam-6384	159	7	(	(	PUNCT
ejpam-6384	159	8	ics	ics	NOUN
ejpam-6384	159	9	)	)	PUNCT
ejpam-6384	159	10	χ(λ	χ(λ	PROPN
ejpam-6384	159	11	,	,	PUNCT
ejpam-6384	159	12	0	0	NUM
ejpam-6384	159	13	)	)	PUNCT
ejpam-6384	159	14	=	=	VERB
ejpam-6384	160	1	cosh	cosh	NOUN
ejpam-6384	160	2	(	(	PUNCT
ejpam-6384	160	3	3λθ1	3λθ1	NUM
ejpam-6384	160	4	θ1	θ1	NOUN
ejpam-6384	160	5	)	)	PUNCT
ejpam-6384	160	6	,	,	PUNCT
ejpam-6384	160	7	∂θ2χ(λ,0	∂θ2χ(λ,0	NOUN
ejpam-6384	160	8	)	)	PUNCT
ejpam-6384	160	9	∂δθ2	∂δθ2	PART
ejpam-6384	160	10	=	=	SYM
ejpam-6384	160	11	0	0	NUM
ejpam-6384	160	12	,	,	PUNCT
ejpam-6384	160	13	and	and	CCONJ
ejpam-6384	160	14	boundary	boundary	ADJ
ejpam-6384	160	15	conditions	condition	NOUN
ejpam-6384	160	16	(	(	PUNCT
ejpam-6384	160	17	bcs	bc	NOUN
ejpam-6384	160	18	)	)	PUNCT
ejpam-6384	160	19	χ	χ	NOUN
ejpam-6384	160	20	(	(	PUNCT
ejpam-6384	160	21	0	0	NUM
ejpam-6384	160	22	,	,	PUNCT
ejpam-6384	160	23	δ	δ	PROPN
ejpam-6384	160	24	)	)	PUNCT
ejpam-6384	160	25	=	=	SYM
ejpam-6384	160	26	cos	cos	PROPN
ejpam-6384	160	27	(	(	PUNCT
ejpam-6384	160	28	δθ2	δθ2	PROPN
ejpam-6384	160	29	θ2	θ2	ADV
ejpam-6384	160	30	)	)	PUNCT
ejpam-6384	161	1	+	+	CCONJ
ejpam-6384	162	1	(	(	PUNCT
ejpam-6384	162	2	δθ2	δθ2	PROPN
ejpam-6384	162	3	θ2	θ2	PROPN
ejpam-6384	162	4	)	)	PUNCT
ejpam-6384	162	5	2	2	NUM
ejpam-6384	162	6	,	,	PUNCT
ejpam-6384	162	7	∂θ1χ(0,δ	∂θ1χ(0,δ	NOUN
ejpam-6384	162	8	)	)	PUNCT
ejpam-6384	162	9	∂λθ1	∂λθ1	NOUN
ejpam-6384	162	10	=	=	SYM
ejpam-6384	162	11	0	0	NUM
ejpam-6384	162	12	.	.	PUNCT
ejpam-6384	162	13	solution	solution	NOUN
ejpam-6384	162	14	1	1	NUM
ejpam-6384	162	15	.	.	PUNCT
ejpam-6384	162	16	by	by	ADP
ejpam-6384	162	17	applying	apply	VERB
ejpam-6384	162	18	the	the	DET
ejpam-6384	162	19	c	c	NOUN
ejpam-6384	162	20	-	-	PUNCT
ejpam-6384	162	21	s	s	NOUN
ejpam-6384	162	22	to	to	ADP
ejpam-6384	162	23	the	the	DET
ejpam-6384	162	24	ics	ic	NOUN
ejpam-6384	162	25	and	and	CCONJ
ejpam-6384	162	26	the	the	DET
ejpam-6384	162	27	c	c	NOUN
ejpam-6384	162	28	-	-	PUNCT
ejpam-6384	162	29	sh	sh	NOUN
ejpam-6384	162	30	to	to	ADP
ejpam-6384	162	31	the	the	DET
ejpam-6384	162	32	bcs	bc	NOUN
ejpam-6384	162	33	,	,	PUNCT
ejpam-6384	162	34	we	we	PRON
ejpam-6384	162	35	get	get	VERB
ejpam-6384	162	36	sθ1	sθ1	ADJ
ejpam-6384	162	37	λ	λ	X
ejpam-6384	162	38	(	(	PUNCT
ejpam-6384	162	39	cosh	cosh	PROPN
ejpam-6384	162	40	(	(	PUNCT
ejpam-6384	162	41	3λθ1	3λθ1	NUM
ejpam-6384	162	42	θ1	θ1	NOUN
ejpam-6384	162	43	)	)	PUNCT
ejpam-6384	162	44	)	)	PUNCT
ejpam-6384	163	1	=	=	PUNCT
ejpam-6384	163	2	1	1	NUM
ejpam-6384	163	3	1−9ρ2	1−9ρ2	NUM
ejpam-6384	163	4	,	,	PUNCT
ejpam-6384	163	5	sθ1	sθ1	ADJ
ejpam-6384	163	6	λ	λ	X
ejpam-6384	163	7	(	(	PUNCT
ejpam-6384	163	8	0	0	NUM
ejpam-6384	163	9	)	)	PUNCT
ejpam-6384	163	10	=	=	SYM
ejpam-6384	163	11	0	0	NUM
ejpam-6384	163	12	,	,	PUNCT
ejpam-6384	163	13	hθ2	hθ2	PROPN
ejpam-6384	163	14	δ	δ	PROPN
ejpam-6384	163	15	(	(	PUNCT
ejpam-6384	163	16	cos	cos	PROPN
ejpam-6384	163	17	(	(	PUNCT
ejpam-6384	163	18	δθ2	δθ2	PROPN
ejpam-6384	163	19	θ2	θ2	ADV
ejpam-6384	163	20	)	)	PUNCT
ejpam-6384	164	1	+	+	CCONJ
ejpam-6384	164	2	(	(	PUNCT
ejpam-6384	164	3	δθ2	δθ2	PROPN
ejpam-6384	164	4	θ2	θ2	PROPN
ejpam-6384	164	5	)	)	PUNCT
ejpam-6384	164	6	2	2	X
ejpam-6384	164	7	)	)	PUNCT
ejpam-6384	164	8	=	=	SYM
ejpam-6384	165	1	ϵη	ϵη	ADP
ejpam-6384	165	2	ϵ2+η2	ϵ2+η2	PROPN
ejpam-6384	165	3	+	+	CCONJ
ejpam-6384	165	4	2η3	2η3	NUM
ejpam-6384	165	5	ϵ3	ϵ3	INTJ
ejpam-6384	165	6	,	,	PUNCT
ejpam-6384	165	7	hθ2	hθ2	PROPN
ejpam-6384	165	8	δ	δ	PROPN
ejpam-6384	165	9	(	(	PUNCT
ejpam-6384	165	10	0	0	NUM
ejpam-6384	165	11	)	)	PUNCT
ejpam-6384	165	12	=	=	SYM
ejpam-6384	165	13	0	0	X
ejpam-6384	165	14	.	.	PUNCT
ejpam-6384	165	15	apply	apply	VERB
ejpam-6384	165	16	the	the	DET
ejpam-6384	165	17	cd	cd	PROPN
ejpam-6384	165	18	-	-	PUNCT
ejpam-6384	165	19	ssh	ssh	NOUN
ejpam-6384	165	20	to	to	ADP
ejpam-6384	165	21	equation	equation	NOUN
ejpam-6384	165	22	5	5	NUM
ejpam-6384	165	23	,	,	PUNCT
ejpam-6384	165	24	we	we	PRON
ejpam-6384	165	25	get	get	VERB
ejpam-6384	165	26	1	1	NUM
ejpam-6384	165	27	ρ2	ρ2	NOUN
ejpam-6384	165	28	ψ−	ψ−	VERB
ejpam-6384	165	29	ϵη	ϵη	ADP
ejpam-6384	165	30	ρ2	ρ2	NOUN
ejpam-6384	165	31	(	(	PUNCT
ejpam-6384	165	32	ϵ2	ϵ2	PROPN
ejpam-6384	165	33	+	+	CCONJ
ejpam-6384	165	34	η2	η2	ADJ
ejpam-6384	165	35	)	)	PUNCT
ejpam-6384	165	36	−	−	PROPN
ejpam-6384	166	1	2η3	2η3	NUM
ejpam-6384	166	2	ρ2ϵ3	ρ2ϵ3	NUM
ejpam-6384	166	3	+	+	CCONJ
ejpam-6384	166	4	9ϵ2	9ϵ2	NUM
ejpam-6384	166	5	η2	η2	NOUN
ejpam-6384	166	6	ψ−	ψ−	VERB
ejpam-6384	166	7	9ϵ	9ϵ	PROPN
ejpam-6384	166	8	η	η	PROPN
ejpam-6384	166	9	(	(	PUNCT
ejpam-6384	166	10	1−	1−	NUM
ejpam-6384	166	11	9ρ2	9ρ2	NUM
ejpam-6384	166	12	)	)	PUNCT
ejpam-6384	167	1	=	=	NOUN
ejpam-6384	167	2	18η	18η	NUM
ejpam-6384	168	1	ϵ	ϵ	X
ejpam-6384	168	2	.	.	PUNCT
ejpam-6384	169	1	so	so	ADV
ejpam-6384	169	2	,	,	PUNCT
ejpam-6384	169	3	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	169	4	,	,	PUNCT
ejpam-6384	169	5	ϵ	ϵ	X
ejpam-6384	169	6	,	,	PUNCT
ejpam-6384	169	7	η	η	NOUN
ejpam-6384	169	8	)	)	PUNCT
ejpam-6384	169	9	=	=	PUNCT
ejpam-6384	170	1	ϵη	ϵη	NUM
ejpam-6384	170	2	ρ2(ϵ2+η2	ρ2(ϵ2+η2	NOUN
ejpam-6384	170	3	)	)	PUNCT
ejpam-6384	171	1	+	+	CCONJ
ejpam-6384	171	2	2η3	2η3	NUM
ejpam-6384	171	3	ρ2ϵ3	ρ2ϵ3	NUM
ejpam-6384	171	4	+	+	CCONJ
ejpam-6384	171	5	9ϵ	9ϵ	NOUN
ejpam-6384	171	6	η(1−9ρ2	η(1−9ρ2	NOUN
ejpam-6384	171	7	)	)	PUNCT
ejpam-6384	172	1	+	+	CCONJ
ejpam-6384	172	2	18η	18η	NOUN
ejpam-6384	172	3	ϵ	ϵ	ADP
ejpam-6384	172	4	1	1	NUM
ejpam-6384	172	5	ρ2	ρ2	NOUN
ejpam-6384	172	6	+	+	CCONJ
ejpam-6384	172	7	9ϵ2	9ϵ2	NUM
ejpam-6384	172	8	η2	η2	ADJ
ejpam-6384	172	9	m.	m.	NOUN
ejpam-6384	172	10	al	al	PROPN
ejpam-6384	172	11	-	-	PUNCT
ejpam-6384	172	12	momani	momani	PROPN
ejpam-6384	172	13	,	,	PUNCT
ejpam-6384	172	14	b.	b.	PROPN
ejpam-6384	172	15	abughazaleh	abughazaleh	PROPN
ejpam-6384	172	16	/	/	SYM
ejpam-6384	172	17	eur	eur	PROPN
ejpam-6384	172	18	.	.	PUNCT
ejpam-6384	173	1	j.	j.	PROPN
ejpam-6384	173	2	pure	pure	PROPN
ejpam-6384	173	3	appl	appl	PROPN
ejpam-6384	173	4	.	.	PROPN
ejpam-6384	173	5	math	math	PROPN
ejpam-6384	173	6	,	,	PUNCT
ejpam-6384	173	7	18	18	NUM
ejpam-6384	173	8	(	(	PUNCT
ejpam-6384	173	9	4	4	NUM
ejpam-6384	173	10	)	)	PUNCT
ejpam-6384	173	11	(	(	PUNCT
ejpam-6384	173	12	2025	2025	NUM
ejpam-6384	173	13	)	)	PUNCT
ejpam-6384	173	14	,	,	PUNCT
ejpam-6384	173	15	6384	6384	NUM
ejpam-6384	173	16	8	8	NUM
ejpam-6384	173	17	of	of	ADP
ejpam-6384	173	18	14	14	NUM
ejpam-6384	173	19	=	=	SYM
ejpam-6384	173	20	ϵη2−9ρ2ϵη2	ϵη2−9ρ2ϵη2	NUM
ejpam-6384	173	21	+	+	NOUN
ejpam-6384	173	22	9ρ2ϵ3	9ρ2ϵ3	NUM
ejpam-6384	173	23	+	+	SYM
ejpam-6384	173	24	9ρ2ϵη2	9ρ2ϵη2	NUM
ejpam-6384	173	25	ρ2η(1−9ρ2)(ϵ2+η2	ρ2η(1−9ρ2)(ϵ2+η2	NOUN
ejpam-6384	173	26	)	)	PUNCT
ejpam-6384	174	1	+	+	CCONJ
ejpam-6384	174	2	2η3	2η3	NUM
ejpam-6384	174	3	+	+	NOUN
ejpam-6384	174	4	18ρ2ϵ2η	18ρ2ϵ2η	NUM
ejpam-6384	174	5	ρ2ϵ3	ρ2ϵ3	NUM
ejpam-6384	174	6	η2	η2	ADJ
ejpam-6384	174	7	+	+	NOUN
ejpam-6384	174	8	9ρ2ϵ2	9ρ2ϵ2	NOUN
ejpam-6384	174	9	ρ2η2	ρ2η2	X
ejpam-6384	174	10	.	.	PUNCT
ejpam-6384	175	1	by	by	ADP
ejpam-6384	175	2	simplify	simplify	NOUN
ejpam-6384	175	3	,	,	PUNCT
ejpam-6384	175	4	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	175	5	,	,	PUNCT
ejpam-6384	175	6	ϵ	ϵ	X
ejpam-6384	175	7	,	,	PUNCT
ejpam-6384	175	8	η	η	NOUN
ejpam-6384	175	9	)	)	PUNCT
ejpam-6384	175	10	=	=	SYM
ejpam-6384	175	11	ϵη	ϵη	PROPN
ejpam-6384	175	12	(	(	PUNCT
ejpam-6384	175	13	1−	1−	NUM
ejpam-6384	175	14	9ρ2	9ρ2	NUM
ejpam-6384	175	15	)	)	PUNCT
ejpam-6384	175	16	(	(	PUNCT
ejpam-6384	175	17	ϵ2	ϵ2	NOUN
ejpam-6384	175	18	+	+	CCONJ
ejpam-6384	175	19	η2	η2	ADJ
ejpam-6384	175	20	)	)	PUNCT
ejpam-6384	175	21	+	+	CCONJ
ejpam-6384	175	22	2η3	2η3	NUM
ejpam-6384	175	23	ϵ3	ϵ3	INTJ
ejpam-6384	175	24	.	.	PUNCT
ejpam-6384	176	1	so	so	ADV
ejpam-6384	176	2	,	,	PUNCT
ejpam-6384	176	3	χ(λ	χ(λ	PROPN
ejpam-6384	176	4	,	,	PUNCT
ejpam-6384	176	5	δ	δ	PROPN
ejpam-6384	176	6	)	)	PUNCT
ejpam-6384	176	7	=	=	PRON
ejpam-6384	177	1	(	(	PUNCT
ejpam-6384	177	2	sθ1	sθ1	INTJ
ejpam-6384	177	3	λ	λ	NOUN
ejpam-6384	177	4	)	)	PUNCT
ejpam-6384	177	5	−1	−1	NOUN
ejpam-6384	177	6	(	(	PUNCT
ejpam-6384	177	7	hθ2	hθ2	NOUN
ejpam-6384	177	8	δ	δ	NOUN
ejpam-6384	177	9	)	)	PUNCT
ejpam-6384	177	10	−1	−1	NOUN
ejpam-6384	177	11	(	(	PUNCT
ejpam-6384	177	12	ϵη	ϵη	X
ejpam-6384	177	13	(	(	PUNCT
ejpam-6384	177	14	1−	1−	NUM
ejpam-6384	177	15	9ρ2	9ρ2	NUM
ejpam-6384	177	16	)	)	PUNCT
ejpam-6384	177	17	(	(	PUNCT
ejpam-6384	177	18	ϵ2	ϵ2	NOUN
ejpam-6384	177	19	+	+	CCONJ
ejpam-6384	177	20	η2	η2	ADJ
ejpam-6384	177	21	)	)	PUNCT
ejpam-6384	177	22	+	+	CCONJ
ejpam-6384	177	23	2η3	2η3	NUM
ejpam-6384	177	24	ϵ3	ϵ3	NUM
ejpam-6384	177	25	)	)	PUNCT
ejpam-6384	177	26	=	=	SYM
ejpam-6384	178	1	cosh	cosh	NOUN
ejpam-6384	178	2	(	(	PUNCT
ejpam-6384	178	3	3	3	NUM
ejpam-6384	178	4	λθ1	λθ1	NOUN
ejpam-6384	178	5	θ1	θ1	NOUN
ejpam-6384	178	6	)	)	PUNCT
ejpam-6384	178	7	cos	cos	PROPN
ejpam-6384	178	8	(	(	PUNCT
ejpam-6384	178	9	δθ2	δθ2	PROPN
ejpam-6384	178	10	θ2	θ2	ADV
ejpam-6384	178	11	)	)	PUNCT
ejpam-6384	179	1	+	+	CCONJ
ejpam-6384	179	2	(	(	PUNCT
ejpam-6384	179	3	δθ2	δθ2	PROPN
ejpam-6384	179	4	θ2	θ2	PROPN
ejpam-6384	179	5	)	)	PUNCT
ejpam-6384	179	6	2	2	X
ejpam-6384	179	7	.	.	PUNCT
ejpam-6384	180	1	the	the	DET
ejpam-6384	180	2	following	follow	VERB
ejpam-6384	180	3	figures	figure	NOUN
ejpam-6384	180	4	show	show	VERB
ejpam-6384	180	5	the	the	DET
ejpam-6384	180	6	3d	3d	PROPN
ejpam-6384	180	7	representation	representation	NOUN
ejpam-6384	180	8	of	of	ADP
ejpam-6384	180	9	the	the	DET
ejpam-6384	180	10	solution	solution	NOUN
ejpam-6384	180	11	at	at	ADP
ejpam-6384	180	12	θ1	θ1	NOUN
ejpam-6384	180	13	=	=	SYM
ejpam-6384	180	14	θ2	θ2	PROPN
ejpam-6384	180	15	=	=	SYM
ejpam-6384	180	16	0.6	0.6	NUM
ejpam-6384	180	17	,	,	PUNCT
ejpam-6384	180	18	1	1	NUM
ejpam-6384	180	19	.	.	PUNCT
ejpam-6384	181	1	the	the	DET
ejpam-6384	181	2	following	follow	VERB
ejpam-6384	181	3	two	two	NUM
ejpam-6384	181	4	figures	figure	NOUN
ejpam-6384	181	5	illustrates	illustrate	VERB
ejpam-6384	181	6	the	the	DET
ejpam-6384	181	7	2d	2d	NUM
ejpam-6384	181	8	graph	graph	NOUN
ejpam-6384	181	9	of	of	ADP
ejpam-6384	181	10	the	the	DET
ejpam-6384	181	11	solution	solution	NOUN
ejpam-6384	181	12	with	with	ADP
ejpam-6384	181	13	respect	respect	NOUN
ejpam-6384	181	14	to	to	ADP
ejpam-6384	181	15	λ	λ	PROPN
ejpam-6384	181	16	and	and	CCONJ
ejpam-6384	181	17	δ	δ	PROPN
ejpam-6384	181	18	at	at	ADP
ejpam-6384	181	19	θ1	θ1	NOUN
ejpam-6384	181	20	=	=	SYM
ejpam-6384	181	21	θ2	θ2	PROPN
ejpam-6384	181	22	=	=	SYM
ejpam-6384	181	23	0.7	0.7	NUM
ejpam-6384	181	24	,	,	PUNCT
ejpam-6384	181	25	0.85	0.85	NUM
ejpam-6384	181	26	,	,	PUNCT
ejpam-6384	181	27	1	1	NUM
ejpam-6384	181	28	.	.	PUNCT
ejpam-6384	181	29	m.	m.	PROPN
ejpam-6384	181	30	al	al	PROPN
ejpam-6384	181	31	-	-	PUNCT
ejpam-6384	181	32	momani	momani	PROPN
ejpam-6384	181	33	,	,	PUNCT
ejpam-6384	181	34	b.	b.	PROPN
ejpam-6384	181	35	abughazaleh	abughazaleh	PROPN
ejpam-6384	181	36	/	/	SYM
ejpam-6384	181	37	eur	eur	PROPN
ejpam-6384	181	38	.	.	PUNCT
ejpam-6384	182	1	j.	j.	PROPN
ejpam-6384	182	2	pure	pure	PROPN
ejpam-6384	182	3	appl	appl	PROPN
ejpam-6384	182	4	.	.	PROPN
ejpam-6384	182	5	math	math	PROPN
ejpam-6384	182	6	,	,	PUNCT
ejpam-6384	182	7	18	18	NUM
ejpam-6384	182	8	(	(	PUNCT
ejpam-6384	182	9	4	4	NUM
ejpam-6384	182	10	)	)	PUNCT
ejpam-6384	182	11	(	(	PUNCT
ejpam-6384	182	12	2025	2025	NUM
ejpam-6384	182	13	)	)	PUNCT
ejpam-6384	182	14	,	,	PUNCT
ejpam-6384	182	15	6384	6384	NUM
ejpam-6384	182	16	9	9	NUM
ejpam-6384	182	17	of	of	ADP
ejpam-6384	182	18	14	14	NUM
ejpam-6384	182	19	example	example	NOUN
ejpam-6384	182	20	2	2	NUM
ejpam-6384	182	21	.	.	X
ejpam-6384	182	22	consider	consider	VERB
ejpam-6384	182	23	the	the	DET
ejpam-6384	182	24	conformable	conformable	ADJ
ejpam-6384	182	25	klein	klein	PROPN
ejpam-6384	182	26	-	-	PUNCT
ejpam-6384	182	27	gordon	gordon	PROPN
ejpam-6384	182	28	equation	equation	NOUN
ejpam-6384	182	29	2	2	NUM
ejpam-6384	182	30	∂2θ1χ(λ	∂2θ1χ(λ	NOUN
ejpam-6384	182	31	,	,	PUNCT
ejpam-6384	182	32	δ	δ	PROPN
ejpam-6384	182	33	)	)	PUNCT
ejpam-6384	182	34	∂λ2θ1	∂λ2θ1	PROPN
ejpam-6384	182	35	+	+	CCONJ
ejpam-6384	182	36	∂2θ2χ(λ	∂2θ2χ(λ	PROPN
ejpam-6384	182	37	,	,	PUNCT
ejpam-6384	182	38	δ	δ	PROPN
ejpam-6384	182	39	)	)	PUNCT
ejpam-6384	182	40	∂δ2θ2	∂δ2θ2	NOUN
ejpam-6384	182	41	=	=	SYM
ejpam-6384	182	42	χ(λ	χ(λ	PROPN
ejpam-6384	182	43	,	,	PUNCT
ejpam-6384	182	44	δ)−	δ)−	PROPN
ejpam-6384	182	45	3	3	NUM
ejpam-6384	182	46	(	(	PUNCT
ejpam-6384	182	47	λθ1	λθ1	NOUN
ejpam-6384	182	48	θ1	θ1	NOUN
ejpam-6384	182	49	)	)	PUNCT
ejpam-6384	182	50	(	(	PUNCT
ejpam-6384	182	51	δθ2	δθ2	PROPN
ejpam-6384	182	52	θ2	θ2	PROPN
ejpam-6384	182	53	)	)	PUNCT
ejpam-6384	182	54	,	,	PUNCT
ejpam-6384	182	55	where	where	SCONJ
ejpam-6384	182	56	λ	λ	NOUN
ejpam-6384	182	57	,	,	PUNCT
ejpam-6384	182	58	δ	δ	PROPN
ejpam-6384	182	59	>	>	X
ejpam-6384	182	60	0	0	PROPN
ejpam-6384	182	61	.	.	PUNCT
ejpam-6384	183	1	(	(	PUNCT
ejpam-6384	183	2	6	6	NUM
ejpam-6384	183	3	)	)	PUNCT
ejpam-6384	183	4	m.	m.	NOUN
ejpam-6384	183	5	al	al	PROPN
ejpam-6384	183	6	-	-	PUNCT
ejpam-6384	183	7	momani	momani	PROPN
ejpam-6384	183	8	,	,	PUNCT
ejpam-6384	183	9	b.	b.	PROPN
ejpam-6384	183	10	abughazaleh	abughazaleh	PROPN
ejpam-6384	183	11	/	/	SYM
ejpam-6384	183	12	eur	eur	PROPN
ejpam-6384	183	13	.	.	PUNCT
ejpam-6384	184	1	j.	j.	PROPN
ejpam-6384	184	2	pure	pure	PROPN
ejpam-6384	184	3	appl	appl	PROPN
ejpam-6384	184	4	.	.	PROPN
ejpam-6384	184	5	math	math	PROPN
ejpam-6384	184	6	,	,	PUNCT
ejpam-6384	184	7	18	18	NUM
ejpam-6384	184	8	(	(	PUNCT
ejpam-6384	184	9	4	4	NUM
ejpam-6384	184	10	)	)	PUNCT
ejpam-6384	184	11	(	(	PUNCT
ejpam-6384	184	12	2025	2025	NUM
ejpam-6384	184	13	)	)	PUNCT
ejpam-6384	184	14	,	,	PUNCT
ejpam-6384	184	15	6384	6384	NUM
ejpam-6384	184	16	10	10	NUM
ejpam-6384	184	17	of	of	ADP
ejpam-6384	184	18	14	14	NUM
ejpam-6384	184	19	with	with	ADP
ejpam-6384	184	20	ics	ics	PROPN
ejpam-6384	184	21	χ(λ	χ(λ	PROPN
ejpam-6384	184	22	,	,	PUNCT
ejpam-6384	184	23	0	0	NUM
ejpam-6384	184	24	)	)	PUNCT
ejpam-6384	184	25	=	=	SYM
ejpam-6384	184	26	0	0	NUM
ejpam-6384	184	27	,	,	PUNCT
ejpam-6384	184	28	∂θ2χ(λ,0	∂θ2χ(λ,0	NOUN
ejpam-6384	184	29	)	)	PUNCT
ejpam-6384	184	30	∂δθ2	∂δθ2	PART
ejpam-6384	184	31	=	=	SYM
ejpam-6384	184	32	e	e	PROPN
ejpam-6384	184	33	2−λθ1	2−λθ1	NUM
ejpam-6384	184	34	θ1	θ1	NOUN
ejpam-6384	184	35	+	+	CCONJ
ejpam-6384	184	36	3λθ1	3λθ1	NUM
ejpam-6384	184	37	θ1	θ1	NOUN
ejpam-6384	184	38	,	,	PUNCT
ejpam-6384	184	39	and	and	CCONJ
ejpam-6384	184	40	bcs	bc	NOUN
ejpam-6384	184	41	χ	χ	X
ejpam-6384	184	42	(	(	PUNCT
ejpam-6384	184	43	0	0	NUM
ejpam-6384	184	44	,	,	PUNCT
ejpam-6384	184	45	δ	δ	NOUN
ejpam-6384	184	46	)	)	PUNCT
ejpam-6384	184	47	=	=	SYM
ejpam-6384	184	48	e2	e2	PROPN
ejpam-6384	184	49	sin	sin	NOUN
ejpam-6384	184	50	(	(	PUNCT
ejpam-6384	184	51	δθ2	δθ2	PROPN
ejpam-6384	184	52	θ2	θ2	PROPN
ejpam-6384	184	53	)	)	PUNCT
ejpam-6384	184	54	,	,	PUNCT
ejpam-6384	184	55	∂θ1χ(0,δ	∂θ1χ(0,δ	NOUN
ejpam-6384	184	56	)	)	PUNCT
ejpam-6384	184	57	∂λθ1	∂λθ1	NOUN
ejpam-6384	185	1	=	=	NOUN
ejpam-6384	185	2	−e2	−e2	NOUN
ejpam-6384	185	3	sin	sin	NOUN
ejpam-6384	185	4	(	(	PUNCT
ejpam-6384	185	5	δθ2	δθ2	NOUN
ejpam-6384	185	6	θ2	θ2	ADV
ejpam-6384	185	7	)	)	PUNCT
ejpam-6384	186	1	+	+	CCONJ
ejpam-6384	186	2	3	3	NUM
ejpam-6384	186	3	δθ2	δθ2	NOUN
ejpam-6384	186	4	θ2	θ2	PROPN
ejpam-6384	186	5	.	.	PUNCT
ejpam-6384	187	1	solution	solution	NOUN
ejpam-6384	187	2	2	2	NUM
ejpam-6384	187	3	.	.	PUNCT
ejpam-6384	187	4	by	by	ADP
ejpam-6384	187	5	applying	apply	VERB
ejpam-6384	187	6	the	the	DET
ejpam-6384	187	7	c	c	NOUN
ejpam-6384	187	8	-	-	PUNCT
ejpam-6384	187	9	s	s	NOUN
ejpam-6384	187	10	to	to	ADP
ejpam-6384	187	11	the	the	DET
ejpam-6384	187	12	ics	ic	NOUN
ejpam-6384	187	13	and	and	CCONJ
ejpam-6384	187	14	the	the	DET
ejpam-6384	187	15	c	c	NOUN
ejpam-6384	187	16	-	-	PUNCT
ejpam-6384	187	17	sh	sh	NOUN
ejpam-6384	187	18	to	to	ADP
ejpam-6384	187	19	the	the	DET
ejpam-6384	187	20	bcs	bc	NOUN
ejpam-6384	187	21	,	,	PUNCT
ejpam-6384	187	22	we	we	PRON
ejpam-6384	187	23	get	get	VERB
ejpam-6384	187	24	sθ1	sθ1	ADJ
ejpam-6384	187	25	λ	λ	X
ejpam-6384	187	26	(	(	PUNCT
ejpam-6384	187	27	0	0	NUM
ejpam-6384	187	28	)	)	PUNCT
ejpam-6384	187	29	=	=	SYM
ejpam-6384	187	30	0	0	NUM
ejpam-6384	187	31	,	,	PUNCT
ejpam-6384	187	32	sθ1	sθ1	ADJ
ejpam-6384	188	1	λ	λ	X
ejpam-6384	188	2	(	(	PUNCT
ejpam-6384	188	3	e	e	PROPN
ejpam-6384	188	4	2−λθ1	2−λθ1	NUM
ejpam-6384	188	5	θ1	θ1	NOUN
ejpam-6384	188	6	+	+	CCONJ
ejpam-6384	188	7	3λθ1	3λθ1	NUM
ejpam-6384	188	8	θ1	θ1	NOUN
ejpam-6384	188	9	)	)	PUNCT
ejpam-6384	188	10	=	=	SYM
ejpam-6384	188	11	e2	e2	PROPN
ejpam-6384	188	12	1+ρ	1+ρ	NUM
ejpam-6384	189	1	+	+	NUM
ejpam-6384	189	2	3ρ	3ρ	NUM
ejpam-6384	189	3	,	,	PUNCT
ejpam-6384	189	4	hθ2	hθ2	PROPN
ejpam-6384	189	5	δ	δ	PROPN
ejpam-6384	189	6	(	(	PUNCT
ejpam-6384	189	7	e2	e2	PROPN
ejpam-6384	189	8	sin	sin	NOUN
ejpam-6384	189	9	(	(	PUNCT
ejpam-6384	189	10	δθ2	δθ2	PROPN
ejpam-6384	189	11	θ2	θ2	PROPN
ejpam-6384	189	12	)	)	PUNCT
ejpam-6384	189	13	)	)	PUNCT
ejpam-6384	190	1	=	=	PUNCT
ejpam-6384	191	1	e2η2	e2η2	X
ejpam-6384	191	2	ϵ2+η2	ϵ2+η2	NOUN
ejpam-6384	191	3	,	,	PUNCT
ejpam-6384	191	4	hθ2	hθ2	PROPN
ejpam-6384	191	5	δ	δ	PROPN
ejpam-6384	191	6	(	(	PUNCT
ejpam-6384	191	7	−e2	−e2	VERB
ejpam-6384	191	8	sin	sin	NOUN
ejpam-6384	191	9	(	(	PUNCT
ejpam-6384	191	10	δθ2	δθ2	NOUN
ejpam-6384	191	11	θ2	θ2	ADV
ejpam-6384	191	12	)	)	PUNCT
ejpam-6384	192	1	+	+	CCONJ
ejpam-6384	192	2	3	3	NUM
ejpam-6384	192	3	δθ2	δθ2	NOUN
ejpam-6384	192	4	θ2	θ2	ADV
ejpam-6384	192	5	)	)	PUNCT
ejpam-6384	192	6	=	=	PUNCT
ejpam-6384	193	1	−e2η2	−e2η2	PROPN
ejpam-6384	193	2	ϵ2+η2	ϵ2+η2	PROPN
ejpam-6384	193	3	+	+	CCONJ
ejpam-6384	193	4	3η2	3η2	NUM
ejpam-6384	193	5	ϵ2	ϵ2	NOUN
ejpam-6384	193	6	.	.	PUNCT
ejpam-6384	194	1	apply	apply	VERB
ejpam-6384	194	2	the	the	DET
ejpam-6384	194	3	cd	cd	PROPN
ejpam-6384	194	4	-	-	PUNCT
ejpam-6384	194	5	ssh	ssh	NOUN
ejpam-6384	194	6	to	to	ADP
ejpam-6384	194	7	equation	equation	NOUN
ejpam-6384	194	8	6	6	NUM
ejpam-6384	194	9	,	,	PUNCT
ejpam-6384	194	10	we	we	PRON
ejpam-6384	194	11	get	get	VERB
ejpam-6384	194	12	2	2	NUM
ejpam-6384	194	13	ρ2	ρ2	NOUN
ejpam-6384	194	14	ψ−	ψ−	VERB
ejpam-6384	194	15	2e2η2	2e2η2	X
ejpam-6384	194	16	ρ2	ρ2	NOUN
ejpam-6384	194	17	(	(	PUNCT
ejpam-6384	194	18	ϵ2	ϵ2	PROPN
ejpam-6384	194	19	+	+	CCONJ
ejpam-6384	194	20	η2	η2	PROPN
ejpam-6384	194	21	)	)	PUNCT
ejpam-6384	195	1	+	+	CCONJ
ejpam-6384	195	2	2e2η2	2e2η2	NUM
ejpam-6384	195	3	ρ	ρ	NOUN
ejpam-6384	195	4	(	(	PUNCT
ejpam-6384	195	5	ϵ2	ϵ2	PROPN
ejpam-6384	195	6	+	+	CCONJ
ejpam-6384	195	7	η2	η2	ADJ
ejpam-6384	195	8	)	)	PUNCT
ejpam-6384	195	9	−	−	PROPN
ejpam-6384	195	10	6η2	6η2	NUM
ejpam-6384	195	11	ρϵ2	ρϵ2	NOUN
ejpam-6384	196	1	+	+	CCONJ
ejpam-6384	196	2	ϵ2	ϵ2	ADJ
ejpam-6384	196	3	η2	η2	NOUN
ejpam-6384	196	4	ψ−	ψ−	VERB
ejpam-6384	196	5	e2	e2	PROPN
ejpam-6384	196	6	1	1	NUM
ejpam-6384	196	7	+	+	NUM
ejpam-6384	196	8	ρ	ρ	NUM
ejpam-6384	196	9	−	−	NUM
ejpam-6384	196	10	3ρ	3ρ	NUM
ejpam-6384	196	11	=	=	PUNCT
ejpam-6384	196	12	ψ−	ψ−	VERB
ejpam-6384	196	13	3ρη2	3ρη2	NUM
ejpam-6384	196	14	ϵ2	ϵ2	ADJ
ejpam-6384	196	15	.	.	PUNCT
ejpam-6384	197	1	so	so	ADV
ejpam-6384	197	2	,	,	PUNCT
ejpam-6384	197	3	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	197	4	,	,	PUNCT
ejpam-6384	197	5	ϵ	ϵ	X
ejpam-6384	197	6	,	,	PUNCT
ejpam-6384	197	7	η	η	NOUN
ejpam-6384	197	8	)	)	PUNCT
ejpam-6384	197	9	=	=	SYM
ejpam-6384	197	10	2e2η2	2e2η2	NUM
ejpam-6384	197	11	ρ2(ϵ2+η2	ρ2(ϵ2+η2	NOUN
ejpam-6384	197	12	)	)	PUNCT
ejpam-6384	197	13	−	−	PROPN
ejpam-6384	197	14	2e2η2	2e2η2	NUM
ejpam-6384	197	15	ρ(ϵ2+η2	ρ(ϵ2+η2	NOUN
ejpam-6384	197	16	)	)	PUNCT
ejpam-6384	198	1	+	+	CCONJ
ejpam-6384	198	2	6η2	6η2	NUM
ejpam-6384	198	3	ρϵ2	ρϵ2	NOUN
ejpam-6384	198	4	+	+	CCONJ
ejpam-6384	198	5	e2	e2	PROPN
ejpam-6384	198	6	1+ρ	1+ρ	PROPN
ejpam-6384	199	1	+	+	CCONJ
ejpam-6384	199	2	3ρ−	3ρ−	NUM
ejpam-6384	199	3	3ρη2	3ρη2	NUM
ejpam-6384	199	4	ϵ2	ϵ2	PROPN
ejpam-6384	199	5	2	2	NUM
ejpam-6384	199	6	ρ2	ρ2	NOUN
ejpam-6384	199	7	+	+	CCONJ
ejpam-6384	199	8	ϵ2	ϵ2	ADJ
ejpam-6384	199	9	η2	η2	NOUN
ejpam-6384	199	10	−	−	PROPN
ejpam-6384	199	11	1	1	NUM
ejpam-6384	199	12	.	.	PUNCT
ejpam-6384	200	1	by	by	ADP
ejpam-6384	200	2	simplify	simplify	NOUN
ejpam-6384	200	3	,	,	PUNCT
ejpam-6384	200	4	ψ(ρ	ψ(ρ	PROPN
ejpam-6384	200	5	,	,	PUNCT
ejpam-6384	200	6	ϵ	ϵ	X
ejpam-6384	200	7	,	,	PUNCT
ejpam-6384	200	8	η	η	NOUN
ejpam-6384	200	9	)	)	PUNCT
ejpam-6384	200	10	=	=	SYM
ejpam-6384	200	11	e2η2	e2η2	X
ejpam-6384	200	12	(	(	PUNCT
ejpam-6384	200	13	ρ+	ρ+	NUM
ejpam-6384	200	14	1	1	NUM
ejpam-6384	200	15	)	)	PUNCT
ejpam-6384	200	16	(	(	PUNCT
ejpam-6384	200	17	ϵ2	ϵ2	PROPN
ejpam-6384	200	18	+	+	CCONJ
ejpam-6384	200	19	η2	η2	ADJ
ejpam-6384	200	20	)	)	PUNCT
ejpam-6384	200	21	+	+	CCONJ
ejpam-6384	200	22	3ρη2	3ρη2	NUM
ejpam-6384	200	23	ϵ2	ϵ2	ADJ
ejpam-6384	200	24	.	.	PUNCT
ejpam-6384	201	1	so	so	ADV
ejpam-6384	201	2	,	,	PUNCT
ejpam-6384	201	3	χ(λ	χ(λ	PROPN
ejpam-6384	201	4	,	,	PUNCT
ejpam-6384	201	5	δ	δ	PROPN
ejpam-6384	201	6	)	)	PUNCT
ejpam-6384	201	7	=	=	PRON
ejpam-6384	202	1	(	(	PUNCT
ejpam-6384	202	2	sθ1	sθ1	INTJ
ejpam-6384	202	3	λ	λ	NOUN
ejpam-6384	202	4	)	)	PUNCT
ejpam-6384	202	5	−1	−1	NOUN
ejpam-6384	202	6	(	(	PUNCT
ejpam-6384	202	7	hθ2	hθ2	NOUN
ejpam-6384	202	8	δ	δ	NOUN
ejpam-6384	202	9	)	)	PUNCT
ejpam-6384	202	10	−1	−1	NOUN
ejpam-6384	202	11	(	(	PUNCT
ejpam-6384	202	12	e2η2	e2η2	X
ejpam-6384	202	13	(	(	PUNCT
ejpam-6384	202	14	ρ+	ρ+	NUM
ejpam-6384	202	15	1	1	NUM
ejpam-6384	202	16	)	)	PUNCT
ejpam-6384	202	17	(	(	PUNCT
ejpam-6384	202	18	ϵ2	ϵ2	PROPN
ejpam-6384	202	19	+	+	CCONJ
ejpam-6384	202	20	η2	η2	ADJ
ejpam-6384	202	21	)	)	PUNCT
ejpam-6384	202	22	+	+	CCONJ
ejpam-6384	202	23	3ρη2	3ρη2	NUM
ejpam-6384	202	24	ϵ2	ϵ2	ADJ
ejpam-6384	202	25	)	)	PUNCT
ejpam-6384	202	26	=	=	PUNCT
ejpam-6384	203	1	e	e	X
ejpam-6384	203	2	2−λθ1	2−λθ1	PROPN
ejpam-6384	203	3	θ1	θ1	NOUN
ejpam-6384	203	4	sin	sin	NOUN
ejpam-6384	203	5	(	(	PUNCT
ejpam-6384	203	6	δθ2	δθ2	NOUN
ejpam-6384	203	7	θ2	θ2	ADV
ejpam-6384	203	8	)	)	PUNCT
ejpam-6384	204	1	+	+	CCONJ
ejpam-6384	204	2	3	3	NUM
ejpam-6384	204	3	(	(	PUNCT
ejpam-6384	204	4	λθ1	λθ1	NOUN
ejpam-6384	204	5	θ1	θ1	NOUN
ejpam-6384	204	6	)	)	PUNCT
ejpam-6384	204	7	(	(	PUNCT
ejpam-6384	204	8	δθ2	δθ2	PROPN
ejpam-6384	204	9	θ2	θ2	PROPN
ejpam-6384	204	10	)	)	PUNCT
ejpam-6384	204	11	.	.	PUNCT
ejpam-6384	205	1	the	the	DET
ejpam-6384	205	2	following	follow	VERB
ejpam-6384	205	3	figures	figure	NOUN
ejpam-6384	205	4	show	show	VERB
ejpam-6384	205	5	the	the	DET
ejpam-6384	205	6	3d	3d	PROPN
ejpam-6384	205	7	representation	representation	NOUN
ejpam-6384	205	8	of	of	ADP
ejpam-6384	205	9	the	the	DET
ejpam-6384	205	10	solution	solution	NOUN
ejpam-6384	205	11	at	at	ADP
ejpam-6384	205	12	θ1	θ1	NOUN
ejpam-6384	205	13	=	=	SYM
ejpam-6384	205	14	θ2	θ2	PROPN
ejpam-6384	205	15	=	=	PROPN
ejpam-6384	205	16	0.4	0.4	NUM
ejpam-6384	205	17	,	,	PUNCT
ejpam-6384	205	18	1	1	NUM
ejpam-6384	205	19	.	.	PUNCT
ejpam-6384	205	20	m.	m.	PROPN
ejpam-6384	205	21	al	al	PROPN
ejpam-6384	205	22	-	-	PUNCT
ejpam-6384	205	23	momani	momani	PROPN
ejpam-6384	205	24	,	,	PUNCT
ejpam-6384	205	25	b.	b.	PROPN
ejpam-6384	205	26	abughazaleh	abughazaleh	PROPN
ejpam-6384	205	27	/	/	SYM
ejpam-6384	205	28	eur	eur	PROPN
ejpam-6384	205	29	.	.	PUNCT
ejpam-6384	206	1	j.	j.	PROPN
ejpam-6384	206	2	pure	pure	PROPN
ejpam-6384	206	3	appl	appl	PROPN
ejpam-6384	206	4	.	.	PROPN
ejpam-6384	206	5	math	math	PROPN
ejpam-6384	206	6	,	,	PUNCT
ejpam-6384	206	7	18	18	NUM
ejpam-6384	206	8	(	(	PUNCT
ejpam-6384	206	9	4	4	NUM
ejpam-6384	206	10	)	)	PUNCT
ejpam-6384	206	11	(	(	PUNCT
ejpam-6384	206	12	2025	2025	NUM
ejpam-6384	206	13	)	)	PUNCT
ejpam-6384	206	14	,	,	PUNCT
ejpam-6384	206	15	6384	6384	NUM
ejpam-6384	206	16	11	11	NUM
ejpam-6384	206	17	of	of	ADP
ejpam-6384	206	18	14	14	NUM
ejpam-6384	206	19	the	the	DET
ejpam-6384	206	20	following	follow	VERB
ejpam-6384	206	21	two	two	NUM
ejpam-6384	206	22	figures	figure	NOUN
ejpam-6384	206	23	illustrates	illustrate	VERB
ejpam-6384	206	24	the	the	DET
ejpam-6384	206	25	2d	2d	NUM
ejpam-6384	206	26	graph	graph	NOUN
ejpam-6384	206	27	of	of	ADP
ejpam-6384	206	28	the	the	DET
ejpam-6384	206	29	solution	solution	NOUN
ejpam-6384	206	30	with	with	ADP
ejpam-6384	206	31	respect	respect	NOUN
ejpam-6384	206	32	to	to	ADP
ejpam-6384	206	33	λ	λ	PROPN
ejpam-6384	206	34	and	and	CCONJ
ejpam-6384	206	35	δ	δ	PROPN
ejpam-6384	206	36	at	at	ADP
ejpam-6384	206	37	θ1	θ1	NOUN
ejpam-6384	206	38	=	=	SYM
ejpam-6384	206	39	θ2	θ2	PROPN
ejpam-6384	206	40	=	=	PROPN
ejpam-6384	206	41	0.5	0.5	NUM
ejpam-6384	206	42	,	,	PUNCT
ejpam-6384	206	43	0.75	0.75	NUM
ejpam-6384	206	44	,	,	PUNCT
ejpam-6384	206	45	1	1	NUM
ejpam-6384	206	46	.	.	PUNCT
ejpam-6384	206	47	m.	m.	PROPN
ejpam-6384	206	48	al	al	PROPN
ejpam-6384	206	49	-	-	PUNCT
ejpam-6384	206	50	momani	momani	PROPN
ejpam-6384	206	51	,	,	PUNCT
ejpam-6384	206	52	b.	b.	PROPN
ejpam-6384	206	53	abughazaleh	abughazaleh	PROPN
ejpam-6384	206	54	/	/	SYM
ejpam-6384	206	55	eur	eur	PROPN
ejpam-6384	206	56	.	.	PUNCT
ejpam-6384	207	1	j.	j.	PROPN
ejpam-6384	207	2	pure	pure	PROPN
ejpam-6384	207	3	appl	appl	PROPN
ejpam-6384	207	4	.	.	PROPN
ejpam-6384	207	5	math	math	PROPN
ejpam-6384	207	6	,	,	PUNCT
ejpam-6384	207	7	18	18	NUM
ejpam-6384	207	8	(	(	PUNCT
ejpam-6384	207	9	4	4	NUM
ejpam-6384	207	10	)	)	PUNCT
ejpam-6384	207	11	(	(	PUNCT
ejpam-6384	207	12	2025	2025	NUM
ejpam-6384	207	13	)	)	PUNCT
ejpam-6384	207	14	,	,	PUNCT
ejpam-6384	207	15	6384	6384	NUM
ejpam-6384	207	16	12	12	NUM
ejpam-6384	207	17	of	of	ADP
ejpam-6384	207	18	14	14	NUM
ejpam-6384	207	19	m.	m.	NOUN
ejpam-6384	207	20	al	al	PROPN
ejpam-6384	207	21	-	-	PUNCT
ejpam-6384	207	22	momani	momani	PROPN
ejpam-6384	207	23	,	,	PUNCT
ejpam-6384	207	24	b.	b.	PROPN
ejpam-6384	207	25	abughazaleh	abughazaleh	PROPN
ejpam-6384	207	26	/	/	SYM
ejpam-6384	207	27	eur	eur	PROPN
ejpam-6384	207	28	.	.	PUNCT
ejpam-6384	208	1	j.	j.	PROPN
ejpam-6384	208	2	pure	pure	PROPN
ejpam-6384	208	3	appl	appl	PROPN
ejpam-6384	208	4	.	.	PROPN
ejpam-6384	208	5	math	math	PROPN
ejpam-6384	208	6	,	,	PUNCT
ejpam-6384	208	7	18	18	NUM
ejpam-6384	208	8	(	(	PUNCT
ejpam-6384	208	9	4	4	NUM
ejpam-6384	208	10	)	)	PUNCT
ejpam-6384	208	11	(	(	PUNCT
ejpam-6384	208	12	2025	2025	NUM
ejpam-6384	208	13	)	)	PUNCT
ejpam-6384	208	14	,	,	PUNCT
ejpam-6384	208	15	6384	6384	NUM
ejpam-6384	208	16	13	13	NUM
ejpam-6384	208	17	of	of	ADP
ejpam-6384	208	18	14	14	NUM
ejpam-6384	208	19	5	5	NUM
ejpam-6384	208	20	.	.	PUNCT
ejpam-6384	209	1	conclusion	conclusion	NOUN
ejpam-6384	209	2	we	we	PRON
ejpam-6384	209	3	introduced	introduce	VERB
ejpam-6384	209	4	the	the	DET
ejpam-6384	209	5	cd	cd	PROPN
ejpam-6384	209	6	-	-	PUNCT
ejpam-6384	209	7	ssh	ssh	NOUN
ejpam-6384	209	8	and	and	CCONJ
ejpam-6384	209	9	showed	show	VERB
ejpam-6384	209	10	its	its	PRON
ejpam-6384	209	11	main	main	ADJ
ejpam-6384	209	12	properties	property	NOUN
ejpam-6384	209	13	.	.	PUNCT
ejpam-6384	210	1	we	we	PRON
ejpam-6384	210	2	applied	apply	VERB
ejpam-6384	210	3	it	it	PRON
ejpam-6384	210	4	to	to	PART
ejpam-6384	210	5	solve	solve	VERB
ejpam-6384	210	6	several	several	ADJ
ejpam-6384	210	7	conformable	conformable	ADJ
ejpam-6384	210	8	equations	equation	NOUN
ejpam-6384	210	9	.	.	PUNCT
ejpam-6384	211	1	the	the	DET
ejpam-6384	211	2	results	result	NOUN
ejpam-6384	211	3	show	show	VERB
ejpam-6384	211	4	that	that	SCONJ
ejpam-6384	211	5	the	the	DET
ejpam-6384	211	6	method	method	NOUN
ejpam-6384	211	7	is	be	AUX
ejpam-6384	211	8	useful	useful	ADJ
ejpam-6384	211	9	and	and	CCONJ
ejpam-6384	211	10	works	work	VERB
ejpam-6384	211	11	well	well	ADV
ejpam-6384	211	12	.	.	PUNCT
ejpam-6384	212	1	it	it	PRON
ejpam-6384	212	2	may	may	AUX
ejpam-6384	212	3	help	help	VERB
ejpam-6384	212	4	with	with	ADP
ejpam-6384	212	5	other	other	ADJ
ejpam-6384	212	6	equations	equation	NOUN
ejpam-6384	212	7	in	in	ADP
ejpam-6384	212	8	future	future	ADJ
ejpam-6384	212	9	work	work	NOUN
ejpam-6384	212	10	.	.	PUNCT
ejpam-6384	213	1	references	reference	NOUN
ejpam-6384	213	2	[	[	X
ejpam-6384	213	3	1	1	NUM
ejpam-6384	213	4	]	]	PUNCT
ejpam-6384	213	5	r.	r.	PROPN
ejpam-6384	213	6	khalil	khalil	PROPN
ejpam-6384	213	7	,	,	PUNCT
ejpam-6384	213	8	m.	m.	PROPN
ejpam-6384	213	9	al	al	PROPN
ejpam-6384	213	10	horani	horani	PROPN
ejpam-6384	213	11	,	,	PUNCT
ejpam-6384	213	12	a.	a.	NOUN
ejpam-6384	213	13	yousef	yousef	PROPN
ejpam-6384	213	14	,	,	PUNCT
ejpam-6384	213	15	and	and	CCONJ
ejpam-6384	213	16	m.	m.	NOUN
ejpam-6384	213	17	sababheh	sababheh	NOUN
ejpam-6384	213	18	.	.	PUNCT
ejpam-6384	214	1	a	a	DET
ejpam-6384	214	2	new	new	ADJ
ejpam-6384	214	3	definition	definition	NOUN
ejpam-6384	214	4	of	of	ADP
ejpam-6384	214	5	fractional	fractional	ADJ
ejpam-6384	214	6	derivative	derivative	NOUN
ejpam-6384	214	7	.	.	PUNCT
ejpam-6384	215	1	journal	journal	PROPN
ejpam-6384	215	2	of	of	ADP
ejpam-6384	215	3	computational	computational	ADJ
ejpam-6384	215	4	and	and	CCONJ
ejpam-6384	215	5	applied	applied	ADJ
ejpam-6384	215	6	mathematics	mathematic	NOUN
ejpam-6384	215	7	,	,	PUNCT
ejpam-6384	215	8	264:65–70	264:65–70	NUM
ejpam-6384	215	9	,	,	PUNCT
ejpam-6384	215	10	2014	2014	NUM
ejpam-6384	215	11	.	.	PUNCT
ejpam-6384	216	1	[	[	X
ejpam-6384	216	2	2	2	X
ejpam-6384	216	3	]	]	PUNCT
ejpam-6384	216	4	f.	f.	PROPN
ejpam-6384	216	5	s.	s.	PROPN
ejpam-6384	216	6	silva	silva	PROPN
ejpam-6384	216	7	,	,	PUNCT
ejpam-6384	216	8	d.	d.	PROPN
ejpam-6384	216	9	m.	m.	PROPN
ejpam-6384	216	10	moreira	moreira	PROPN
ejpam-6384	216	11	,	,	PUNCT
ejpam-6384	216	12	and	and	CCONJ
ejpam-6384	216	13	m.	m.	NOUN
ejpam-6384	216	14	a.	a.	PROPN
ejpam-6384	216	15	moret	moret	PROPN
ejpam-6384	216	16	.	.	PUNCT
ejpam-6384	217	1	conformable	conformable	ADJ
ejpam-6384	217	2	laplace	laplace	NOUN
ejpam-6384	217	3	transform	transform	NOUN
ejpam-6384	217	4	of	of	ADP
ejpam-6384	217	5	fractional	fractional	ADJ
ejpam-6384	217	6	differential	differential	ADJ
ejpam-6384	217	7	equations	equation	NOUN
ejpam-6384	217	8	.	.	PUNCT
ejpam-6384	218	1	axioms	axiom	NOUN
ejpam-6384	218	2	,	,	PUNCT
ejpam-6384	218	3	7(3):55	7(3):55	NUM
ejpam-6384	218	4	,	,	PUNCT
ejpam-6384	218	5	2018	2018	NUM
ejpam-6384	218	6	.	.	PUNCT
ejpam-6384	219	1	[	[	X
ejpam-6384	219	2	3	3	X
ejpam-6384	219	3	]	]	PUNCT
ejpam-6384	219	4	o.	o.	NOUN
ejpam-6384	219	5	özkan	özkan	PROPN
ejpam-6384	219	6	and	and	CCONJ
ejpam-6384	219	7	a.	a.	NOUN
ejpam-6384	219	8	kurt	kurt	PROPN
ejpam-6384	219	9	.	.	PUNCT
ejpam-6384	220	1	on	on	ADP
ejpam-6384	220	2	conformable	conformable	ADJ
ejpam-6384	220	3	double	double	ADJ
ejpam-6384	220	4	laplace	laplace	NOUN
ejpam-6384	220	5	transform	transform	NOUN
ejpam-6384	220	6	.	.	PUNCT
ejpam-6384	221	1	optical	optical	ADJ
ejpam-6384	221	2	and	and	CCONJ
ejpam-6384	221	3	quantum	quantum	NOUN
ejpam-6384	221	4	electronics	electronic	NOUN
ejpam-6384	221	5	,	,	PUNCT
ejpam-6384	221	6	50:1–9	50:1–9	NUM
ejpam-6384	221	7	,	,	PUNCT
ejpam-6384	221	8	2018	2018	NUM
ejpam-6384	221	9	.	.	PUNCT
ejpam-6384	222	1	[	[	X
ejpam-6384	222	2	4	4	X
ejpam-6384	222	3	]	]	PUNCT
ejpam-6384	222	4	s.	s.	PROPN
ejpam-6384	222	5	alfaqeih	alfaqeih	PROPN
ejpam-6384	222	6	,	,	PUNCT
ejpam-6384	222	7	g.	g.	PROPN
ejpam-6384	222	8	bakı	bakı	NOUN
ejpam-6384	222	9	cıerler	cıerler	NOUN
ejpam-6384	222	10	,	,	PUNCT
ejpam-6384	222	11	and	and	CCONJ
ejpam-6384	222	12	e.	e.	PROPN
ejpam-6384	222	13	misirli	misirli	PROPN
ejpam-6384	222	14	.	.	PUNCT
ejpam-6384	223	1	conformable	conformable	ADJ
ejpam-6384	223	2	double	double	ADJ
ejpam-6384	223	3	sumudu	sumudu	NOUN
ejpam-6384	223	4	transform	transform	NOUN
ejpam-6384	223	5	with	with	ADP
ejpam-6384	223	6	applications	application	NOUN
ejpam-6384	223	7	.	.	PUNCT
ejpam-6384	224	1	journal	journal	NOUN
ejpam-6384	224	2	of	of	ADP
ejpam-6384	224	3	applied	applied	ADJ
ejpam-6384	224	4	and	and	CCONJ
ejpam-6384	224	5	computational	computational	ADJ
ejpam-6384	224	6	mechanics	mechanic	NOUN
ejpam-6384	224	7	,	,	PUNCT
ejpam-6384	224	8	7(2):578–586	7(2):578–586	NOUN
ejpam-6384	224	9	,	,	PUNCT
ejpam-6384	224	10	2021	2021	NUM
ejpam-6384	224	11	.	.	PUNCT
ejpam-6384	225	1	[	[	X
ejpam-6384	225	2	5	5	NUM
ejpam-6384	225	3	]	]	PUNCT
ejpam-6384	225	4	r.	r.	PROPN
ejpam-6384	225	5	abu	abu	PROPN
ejpam-6384	225	6	awwad	awwad	PROPN
ejpam-6384	225	7	,	,	PUNCT
ejpam-6384	225	8	m.	m.	NOUN
ejpam-6384	225	9	al	al	PROPN
ejpam-6384	225	10	-	-	PUNCT
ejpam-6384	225	11	momani	momani	PROPN
ejpam-6384	225	12	,	,	PUNCT
ejpam-6384	225	13	b.	b.	PROPN
ejpam-6384	225	14	abughazaleh	abughazaleh	PROPN
ejpam-6384	225	15	,	,	PUNCT
ejpam-6384	225	16	a.	a.	PROPN
ejpam-6384	225	17	jaradat	jaradat	PROPN
ejpam-6384	225	18	,	,	PUNCT
ejpam-6384	225	19	and	and	CCONJ
ejpam-6384	225	20	a.	a.	PROPN
ejpam-6384	225	21	farah	farah	PROPN
ejpam-6384	225	22	.	.	PUNCT
ejpam-6384	226	1	the	the	DET
ejpam-6384	226	2	conformable	conformable	ADJ
ejpam-6384	226	3	double	double	ADJ
ejpam-6384	226	4	laplace	laplace	NOUN
ejpam-6384	226	5	-	-	PUNCT
ejpam-6384	226	6	sawi	sawi	NOUN
ejpam-6384	226	7	transform	transform	NOUN
ejpam-6384	226	8	.	.	PUNCT
ejpam-6384	227	1	eur	eur	PROPN
ejpam-6384	227	2	.	.	PUNCT
ejpam-6384	228	1	j.	j.	PROPN
ejpam-6384	228	2	pure	pure	PROPN
ejpam-6384	228	3	appl	appl	PROPN
ejpam-6384	228	4	.	.	PUNCT
ejpam-6384	228	5	math	math	PROPN
ejpam-6384	228	6	.	.	PUNCT
ejpam-6384	228	7	,	,	PUNCT
ejpam-6384	228	8	18(2):6034	18(2):6034	NUM
ejpam-6384	228	9	,	,	PUNCT
ejpam-6384	228	10	2025	2025	NUM
ejpam-6384	228	11	.	.	PUNCT
ejpam-6384	229	1	[	[	X
ejpam-6384	229	2	6	6	NUM
ejpam-6384	229	3	]	]	PUNCT
ejpam-6384	229	4	m.	m.	NOUN
ejpam-6384	229	5	al	al	PROPN
ejpam-6384	229	6	-	-	PUNCT
ejpam-6384	229	7	momani	momani	PROPN
ejpam-6384	229	8	,	,	PUNCT
ejpam-6384	229	9	a.	a.	PROPN
ejpam-6384	229	10	jaradat	jaradat	PROPN
ejpam-6384	229	11	,	,	PUNCT
ejpam-6384	229	12	b.	b.	PROPN
ejpam-6384	229	13	abughazaleh	abughazaleh	PROPN
ejpam-6384	229	14	,	,	PUNCT
ejpam-6384	229	15	and	and	CCONJ
ejpam-6384	229	16	a.	a.	PROPN
ejpam-6384	229	17	farah	farah	PROPN
ejpam-6384	229	18	.	.	PUNCT
ejpam-6384	230	1	solving	solve	VERB
ejpam-6384	230	2	partial	partial	ADJ
ejpam-6384	230	3	differential	differential	ADJ
ejpam-6384	230	4	equations	equation	NOUN
ejpam-6384	230	5	via	via	ADP
ejpam-6384	230	6	the	the	DET
ejpam-6384	230	7	conformable	conformable	ADJ
ejpam-6384	230	8	double	double	ADJ
ejpam-6384	230	9	ara	ara	NOUN
ejpam-6384	230	10	-	-	PUNCT
ejpam-6384	230	11	sawi	sawi	NOUN
ejpam-6384	230	12	transform	transform	NOUN
ejpam-6384	230	13	.	.	PUNCT
ejpam-6384	231	1	eur	eur	PROPN
ejpam-6384	231	2	.	.	PUNCT
ejpam-6384	232	1	j.	j.	PROPN
ejpam-6384	232	2	pure	pure	PROPN
ejpam-6384	232	3	appl	appl	PROPN
ejpam-6384	232	4	.	.	PUNCT
ejpam-6384	232	5	math	math	PROPN
ejpam-6384	232	6	.	.	PUNCT
ejpam-6384	232	7	,	,	PUNCT
ejpam-6384	232	8	18(2):6099	18(2):6099	NUM
ejpam-6384	232	9	,	,	PUNCT
ejpam-6384	232	10	2025	2025	NUM
ejpam-6384	232	11	.	.	PUNCT
ejpam-6384	233	1	[	[	X
ejpam-6384	233	2	7	7	X
ejpam-6384	233	3	]	]	PUNCT
ejpam-6384	233	4	m.	m.	NOUN
ejpam-6384	233	5	al	al	PROPN
ejpam-6384	233	6	-	-	PUNCT
ejpam-6384	233	7	momani	momani	PROPN
ejpam-6384	233	8	,	,	PUNCT
ejpam-6384	233	9	a.	a.	PROPN
ejpam-6384	233	10	jaradat	jaradat	PROPN
ejpam-6384	233	11	,	,	PUNCT
ejpam-6384	233	12	b.	b.	PROPN
ejpam-6384	233	13	abughazaleh	abughazaleh	PROPN
ejpam-6384	233	14	,	,	PUNCT
ejpam-6384	233	15	and	and	CCONJ
ejpam-6384	233	16	a.	a.	PROPN
ejpam-6384	233	17	farah	farah	PROPN
ejpam-6384	233	18	.	.	PUNCT
ejpam-6384	234	1	solving	solve	VERB
ejpam-6384	234	2	partial	partial	ADJ
ejpam-6384	234	3	differential	differential	ADJ
ejpam-6384	234	4	equations	equation	NOUN
ejpam-6384	234	5	via	via	ADP
ejpam-6384	234	6	the	the	DET
ejpam-6384	234	7	double	double	ADJ
ejpam-6384	234	8	sumudu	sumudu	NOUN
ejpam-6384	234	9	-	-	PUNCT
ejpam-6384	234	10	shehu	shehu	NOUN
ejpam-6384	234	11	transform	transform	NOUN
ejpam-6384	234	12	.	.	PUNCT
ejpam-6384	235	1	eur	eur	PROPN
ejpam-6384	235	2	.	.	PUNCT
ejpam-6384	236	1	j.	j.	PROPN
ejpam-6384	236	2	pure	pure	PROPN
ejpam-6384	236	3	appl	appl	PROPN
ejpam-6384	236	4	.	.	PUNCT
ejpam-6384	236	5	math	math	PROPN
ejpam-6384	236	6	.	.	PUNCT
ejpam-6384	236	7	,	,	PUNCT
ejpam-6384	236	8	18(2):5898	18(2):5898	NUM
ejpam-6384	236	9	,	,	PUNCT
ejpam-6384	236	10	2025	2025	NUM
ejpam-6384	236	11	.	.	PUNCT
ejpam-6384	237	1	[	[	X
ejpam-6384	237	2	8	8	NUM
ejpam-6384	237	3	]	]	PUNCT
ejpam-6384	237	4	m.	m.	NOUN
ejpam-6384	237	5	al	al	PROPN
ejpam-6384	237	6	-	-	PUNCT
ejpam-6384	237	7	momani	momani	PROPN
ejpam-6384	237	8	,	,	PUNCT
ejpam-6384	237	9	a.	a.	NOUN
ejpam-6384	237	10	jaradat	jaradat	PROPN
ejpam-6384	237	11	,	,	PUNCT
ejpam-6384	237	12	and	and	CCONJ
ejpam-6384	237	13	b.	b.	PROPN
ejpam-6384	237	14	abughazaleh	abughazaleh	PROPN
ejpam-6384	237	15	.	.	PUNCT
ejpam-6384	238	1	double	double	ADJ
ejpam-6384	238	2	laplace	laplace	NOUN
ejpam-6384	238	3	-	-	PUNCT
ejpam-6384	238	4	sawi	sawi	NOUN
ejpam-6384	238	5	transform	transform	NOUN
ejpam-6384	238	6	.	.	PUNCT
ejpam-6384	239	1	eur	eur	PROPN
ejpam-6384	239	2	.	.	PUNCT
ejpam-6384	240	1	j.	j.	PROPN
ejpam-6384	240	2	pure	pure	PROPN
ejpam-6384	240	3	appl	appl	PROPN
ejpam-6384	240	4	.	.	PUNCT
ejpam-6384	240	5	math	math	PROPN
ejpam-6384	240	6	.	.	PUNCT
ejpam-6384	241	1	,	,	PUNCT
ejpam-6384	241	2	18(1):5619	18(1):5619	NUM
ejpam-6384	241	3	,	,	PUNCT
ejpam-6384	241	4	2025	2025	NUM
ejpam-6384	241	5	.	.	PUNCT
ejpam-6384	242	1	[	[	X
ejpam-6384	242	2	9	9	NUM
ejpam-6384	242	3	]	]	PUNCT
ejpam-6384	242	4	m.	m.	NOUN
ejpam-6384	242	5	mahgoub	mahgoub	NOUN
ejpam-6384	242	6	and	and	CCONJ
ejpam-6384	242	7	m.	m.	NOUN
ejpam-6384	242	8	mohand	mohand	NOUN
ejpam-6384	242	9	.	.	PUNCT
ejpam-6384	243	1	the	the	DET
ejpam-6384	243	2	new	new	ADJ
ejpam-6384	243	3	integral	integral	ADJ
ejpam-6384	243	4	transform	transform	NOUN
ejpam-6384	243	5	“	"	PUNCT
ejpam-6384	243	6	sawi	sawi	ADJ
ejpam-6384	243	7	transform	transform	NOUN
ejpam-6384	243	8	”	"	PUNCT
ejpam-6384	243	9	.	.	PUNCT
ejpam-6384	244	1	advances	advance	NOUN
ejpam-6384	244	2	in	in	ADP
ejpam-6384	244	3	theoretical	theoretical	ADJ
ejpam-6384	244	4	and	and	CCONJ
ejpam-6384	244	5	applied	apply	VERB
ejpam-6384	244	6	mathematics	mathematic	NOUN
ejpam-6384	244	7	,	,	PUNCT
ejpam-6384	244	8	14(1):81–87	14(1):81–87	NUM
ejpam-6384	244	9	,	,	PUNCT
ejpam-6384	244	10	2019	2019	NUM
ejpam-6384	244	11	.	.	PUNCT
ejpam-6384	245	1	[	[	X
ejpam-6384	245	2	10	10	NUM
ejpam-6384	245	3	]	]	PUNCT
ejpam-6384	245	4	m.	m.	NOUN
ejpam-6384	245	5	hunaiber	hunaiber	NOUN
ejpam-6384	245	6	and	and	CCONJ
ejpam-6384	245	7	a.	a.	PROPN
ejpam-6384	245	8	al	al	PROPN
ejpam-6384	245	9	-	-	PUNCT
ejpam-6384	245	10	aati	aati	PROPN
ejpam-6384	245	11	.	.	PUNCT
ejpam-6384	246	1	on	on	ADP
ejpam-6384	246	2	double	double	ADJ
ejpam-6384	246	3	laplace	laplace	NOUN
ejpam-6384	246	4	-	-	PUNCT
ejpam-6384	246	5	shehu	shehu	NOUN
ejpam-6384	246	6	transform	transform	NOUN
ejpam-6384	246	7	and	and	CCONJ
ejpam-6384	246	8	its	its	PRON
ejpam-6384	246	9	properties	property	NOUN
ejpam-6384	246	10	with	with	ADP
ejpam-6384	246	11	applications	application	NOUN
ejpam-6384	246	12	.	.	PUNCT
ejpam-6384	247	1	turkish	turkish	ADJ
ejpam-6384	247	2	journal	journal	NOUN
ejpam-6384	247	3	of	of	ADP
ejpam-6384	247	4	mathematics	mathematic	NOUN
ejpam-6384	247	5	and	and	CCONJ
ejpam-6384	247	6	computer	computer	NOUN
ejpam-6384	247	7	science	science	NOUN
ejpam-6384	247	8	,	,	PUNCT
ejpam-6384	247	9	15(2):218	15(2):218	NUM
ejpam-6384	247	10	–	–	PUNCT
ejpam-6384	247	11	226	226	NUM
ejpam-6384	247	12	,	,	PUNCT
ejpam-6384	247	13	2023	2023	NUM
ejpam-6384	247	14	.	.	PUNCT
ejpam-6384	248	1	[	[	X
ejpam-6384	248	2	11	11	NUM
ejpam-6384	248	3	]	]	X
ejpam-6384	248	4	s.	s.	PROPN
ejpam-6384	248	5	khan	khan	PROPN
ejpam-6384	248	6	,	,	PUNCT
ejpam-6384	248	7	a.	a.	PROPN
ejpam-6384	248	8	ullah	ullah	PROPN
ejpam-6384	248	9	,	,	PUNCT
ejpam-6384	248	10	m.	m.	PROPN
ejpam-6384	248	11	de	de	PROPN
ejpam-6384	248	12	la	la	X
ejpam-6384	248	13	sen	sen	PROPN
ejpam-6384	248	14	,	,	PUNCT
ejpam-6384	248	15	and	and	CCONJ
ejpam-6384	248	16	s.	s.	PROPN
ejpam-6384	248	17	ahmad	ahmad	PROPN
ejpam-6384	248	18	.	.	PROPN
ejpam-6384	248	19	double	double	ADJ
ejpam-6384	248	20	sawi	sawi	PROPN
ejpam-6384	248	21	transform	transform	NOUN
ejpam-6384	248	22	:	:	PUNCT
ejpam-6384	248	23	theory	theory	NOUN
ejpam-6384	248	24	and	and	CCONJ
ejpam-6384	248	25	applications	application	NOUN
ejpam-6384	248	26	to	to	ADP
ejpam-6384	248	27	boundary	boundary	ADJ
ejpam-6384	248	28	values	value	NOUN
ejpam-6384	248	29	problems	problem	NOUN
ejpam-6384	248	30	.	.	PUNCT
ejpam-6384	249	1	symmetry	symmetry	NOUN
ejpam-6384	249	2	,	,	PUNCT
ejpam-6384	249	3	15(4):921	15(4):921	NUM
ejpam-6384	249	4	,	,	PUNCT
ejpam-6384	249	5	2023	2023	NUM
ejpam-6384	249	6	.	.	PUNCT
ejpam-6384	250	1	[	[	X
ejpam-6384	250	2	12	12	NUM
ejpam-6384	250	3	]	]	PUNCT
ejpam-6384	250	4	b.	b.	PROPN
ejpam-6384	250	5	abughazaleh	abughazaleh	PROPN
ejpam-6384	250	6	,	,	PUNCT
ejpam-6384	250	7	m.	m.	NOUN
ejpam-6384	250	8	a.	a.	PROPN
ejpam-6384	250	9	amleh	amleh	PROPN
ejpam-6384	250	10	,	,	PUNCT
ejpam-6384	250	11	a.	a.	PROPN
ejpam-6384	250	12	al	al	PROPN
ejpam-6384	250	13	-	-	PUNCT
ejpam-6384	250	14	natoor	natoor	NOUN
ejpam-6384	250	15	,	,	PUNCT
ejpam-6384	250	16	and	and	CCONJ
ejpam-6384	250	17	r.	r.	PROPN
ejpam-6384	250	18	saadeh	saadeh	PROPN
ejpam-6384	250	19	.	.	PUNCT
ejpam-6384	251	1	double	double	ADJ
ejpam-6384	251	2	mellin	mellin	PROPN
ejpam-6384	251	3	-	-	PUNCT
ejpam-6384	251	4	ara	ara	NOUN
ejpam-6384	251	5	transform	transform	NOUN
ejpam-6384	251	6	.	.	PUNCT
ejpam-6384	252	1	in	in	ADP
ejpam-6384	252	2	springer	springer	NOUN
ejpam-6384	252	3	proceedings	proceeding	NOUN
ejpam-6384	252	4	in	in	ADP
ejpam-6384	252	5	mathematics	mathematic	NOUN
ejpam-6384	252	6	and	and	CCONJ
ejpam-6384	252	7	statistics	statistic	NOUN
ejpam-6384	252	8	,	,	PUNCT
ejpam-6384	252	9	volume	volume	NOUN
ejpam-6384	252	10	466	466	NUM
ejpam-6384	252	11	,	,	PUNCT
ejpam-6384	252	12	pages	page	NOUN
ejpam-6384	252	13	383–394	383–394	NUM
ejpam-6384	252	14	.	.	PUNCT
ejpam-6384	252	15	springer	springer	NOUN
ejpam-6384	252	16	,	,	PUNCT
ejpam-6384	252	17	2024	2024	NUM
ejpam-6384	252	18	.	.	PUNCT
ejpam-6384	253	1	[	[	X
ejpam-6384	253	2	13	13	NUM
ejpam-6384	253	3	]	]	PUNCT
ejpam-6384	253	4	r.	r.	PROPN
ejpam-6384	253	5	abu	abu	PROPN
ejpam-6384	253	6	awwad	awwad	PROPN
ejpam-6384	253	7	,	,	PUNCT
ejpam-6384	253	8	m.	m.	NOUN
ejpam-6384	253	9	al	al	PROPN
ejpam-6384	253	10	-	-	PUNCT
ejpam-6384	253	11	momani	momani	PROPN
ejpam-6384	253	12	,	,	PUNCT
ejpam-6384	253	13	b.	b.	PROPN
ejpam-6384	253	14	abughazaleh	abughazaleh	PROPN
ejpam-6384	253	15	,	,	PUNCT
ejpam-6384	253	16	a.	a.	PROPN
ejpam-6384	253	17	jaradat	jaradat	PROPN
ejpam-6384	253	18	,	,	PUNCT
ejpam-6384	253	19	and	and	CCONJ
ejpam-6384	253	20	a.	a.	PROPN
ejpam-6384	253	21	farah	farah	PROPN
ejpam-6384	253	22	.	.	PUNCT
ejpam-6384	254	1	the	the	DET
ejpam-6384	254	2	double	double	ADJ
ejpam-6384	254	3	sumudu	sumudu	NOUN
ejpam-6384	254	4	-	-	PUNCT
ejpam-6384	254	5	sawi	sawi	NOUN
ejpam-6384	254	6	transform	transform	NOUN
ejpam-6384	254	7	.	.	PUNCT
ejpam-6384	255	1	eur	eur	PROPN
ejpam-6384	255	2	.	.	PUNCT
ejpam-6384	256	1	j.	j.	PROPN
ejpam-6384	256	2	pure	pure	PROPN
ejpam-6384	256	3	appl	appl	PROPN
ejpam-6384	256	4	.	.	PUNCT
ejpam-6384	256	5	math	math	PROPN
ejpam-6384	256	6	.	.	PUNCT
ejpam-6384	256	7	,	,	PUNCT
ejpam-6384	256	8	18(2):5967	18(2):5967	NUM
ejpam-6384	256	9	,	,	PUNCT
ejpam-6384	256	10	2025	2025	NUM
ejpam-6384	256	11	.	.	PUNCT
ejpam-6384	257	1	[	[	X
ejpam-6384	257	2	14	14	NUM
ejpam-6384	257	3	]	]	X
ejpam-6384	257	4	r.	r.	PROPN
ejpam-6384	257	5	abu	abu	PROPN
ejpam-6384	257	6	awwad	awwad	PROPN
ejpam-6384	257	7	,	,	PUNCT
ejpam-6384	257	8	m.	m.	NOUN
ejpam-6384	257	9	al	al	PROPN
ejpam-6384	257	10	-	-	PUNCT
ejpam-6384	257	11	momani	momani	PROPN
ejpam-6384	257	12	,	,	PUNCT
ejpam-6384	257	13	a.	a.	PROPN
ejpam-6384	257	14	jaradat	jaradat	PROPN
ejpam-6384	257	15	,	,	PUNCT
ejpam-6384	257	16	b.	b.	PROPN
ejpam-6384	257	17	abughazaleh	abughazaleh	PROPN
ejpam-6384	257	18	,	,	PUNCT
ejpam-6384	257	19	and	and	CCONJ
ejpam-6384	257	20	a.	a.	PROPN
ejpam-6384	257	21	al	al	PROPN
ejpam-6384	257	22	-	-	PUNCT
ejpam-6384	257	23	natoor	natoor	NOUN
ejpam-6384	257	24	.	.	PUNCT
ejpam-6384	258	1	the	the	DET
ejpam-6384	258	2	double	double	ADJ
ejpam-6384	258	3	ara	ara	NOUN
ejpam-6384	258	4	-	-	PUNCT
ejpam-6384	258	5	sawi	sawi	NOUN
ejpam-6384	258	6	transform	transform	NOUN
ejpam-6384	258	7	.	.	PUNCT
ejpam-6384	259	1	eur	eur	PROPN
ejpam-6384	259	2	.	.	PUNCT
ejpam-6384	260	1	j.	j.	PROPN
ejpam-6384	260	2	pure	pure	PROPN
ejpam-6384	260	3	appl	appl	PROPN
ejpam-6384	260	4	.	.	PUNCT
ejpam-6384	260	5	math	math	PROPN
ejpam-6384	260	6	.	.	PUNCT
ejpam-6384	260	7	,	,	PUNCT
ejpam-6384	260	8	18(1):5807	18(1):5807	NUM
ejpam-6384	260	9	,	,	PUNCT
ejpam-6384	260	10	2025	2025	NUM
ejpam-6384	260	11	.	.	PUNCT
ejpam-6384	261	1	m.	m.	NOUN
ejpam-6384	261	2	al	al	PROPN
ejpam-6384	261	3	-	-	PUNCT
ejpam-6384	261	4	momani	momani	PROPN
ejpam-6384	261	5	,	,	PUNCT
ejpam-6384	261	6	b.	b.	PROPN
ejpam-6384	261	7	abughazaleh	abughazaleh	PROPN
ejpam-6384	261	8	/	/	SYM
ejpam-6384	261	9	eur	eur	PROPN
ejpam-6384	261	10	.	.	PUNCT
ejpam-6384	262	1	j.	j.	PROPN
ejpam-6384	262	2	pure	pure	PROPN
ejpam-6384	262	3	appl	appl	PROPN
ejpam-6384	262	4	.	.	PROPN
ejpam-6384	262	5	math	math	PROPN
ejpam-6384	262	6	,	,	PUNCT
ejpam-6384	262	7	18	18	NUM
ejpam-6384	262	8	(	(	PUNCT
ejpam-6384	262	9	4	4	NUM
ejpam-6384	262	10	)	)	PUNCT
ejpam-6384	262	11	(	(	PUNCT
ejpam-6384	262	12	2025	2025	NUM
ejpam-6384	262	13	)	)	PUNCT
ejpam-6384	262	14	,	,	PUNCT
ejpam-6384	262	15	6384	6384	NUM
ejpam-6384	262	16	14	14	NUM
ejpam-6384	262	17	of	of	ADP
ejpam-6384	262	18	14	14	NUM
ejpam-6384	262	19	[	[	SYM
ejpam-6384	262	20	15	15	NUM
ejpam-6384	262	21	]	]	PUNCT
ejpam-6384	262	22	m.	m.	NOUN
ejpam-6384	262	23	al	al	PROPN
ejpam-6384	262	24	-	-	PUNCT
ejpam-6384	262	25	momani	momani	PROPN
ejpam-6384	262	26	,	,	PUNCT
ejpam-6384	262	27	b.	b.	PROPN
ejpam-6384	262	28	abughazaleh	abughazaleh	PROPN
ejpam-6384	262	29	,	,	PUNCT
ejpam-6384	262	30	and	and	CCONJ
ejpam-6384	262	31	a.	a.	PROPN
ejpam-6384	262	32	farah	farah	PROPN
ejpam-6384	262	33	.	.	PUNCT
ejpam-6384	263	1	the	the	DET
ejpam-6384	263	2	double	double	ADJ
ejpam-6384	263	3	sawi	sawi	ADJ
ejpam-6384	263	4	-	-	PUNCT
ejpam-6384	263	5	shehu	shehu	NOUN
ejpam-6384	263	6	transform	transform	NOUN
ejpam-6384	263	7	.	.	PUNCT
ejpam-6384	264	1	eur	eur	PROPN
ejpam-6384	264	2	.	.	PUNCT
ejpam-6384	265	1	j.	j.	PROPN
ejpam-6384	265	2	pure	pure	PROPN
ejpam-6384	265	3	appl	appl	PROPN
ejpam-6384	265	4	.	.	PUNCT
ejpam-6384	265	5	math	math	PROPN
ejpam-6384	265	6	.	.	PUNCT
ejpam-6384	265	7	,	,	PUNCT
ejpam-6384	265	8	18(3):6890	18(3):6890	NUM
ejpam-6384	265	9	,	,	PUNCT
ejpam-6384	265	10	2025	2025	NUM
ejpam-6384	265	11	.	.	PUNCT
ejpam-6384	266	1	[	[	X
ejpam-6384	266	2	16	16	NUM
ejpam-6384	266	3	]	]	X
ejpam-6384	266	4	h.	h.	PROPN
ejpam-6384	266	5	thabet	thabet	PROPN
ejpam-6384	266	6	and	and	CCONJ
ejpam-6384	266	7	s.	s.	PROPN
ejpam-6384	266	8	kendre	kendre	PROPN
ejpam-6384	266	9	.	.	PUNCT
ejpam-6384	267	1	analytical	analytical	ADJ
ejpam-6384	267	2	solutions	solution	NOUN
ejpam-6384	267	3	for	for	ADP
ejpam-6384	267	4	conformable	conformable	ADJ
ejpam-6384	267	5	space	space	NOUN
ejpam-6384	267	6	-	-	PUNCT
ejpam-6384	267	7	time	time	NOUN
ejpam-6384	267	8	fractional	fractional	ADJ
ejpam-6384	267	9	partial	partial	ADJ
ejpam-6384	267	10	differential	differential	NOUN
ejpam-6384	267	11	equations	equation	NOUN
ejpam-6384	267	12	via	via	ADP
ejpam-6384	267	13	fractional	fractional	ADJ
ejpam-6384	267	14	differential	differential	NOUN
ejpam-6384	267	15	transform	transform	NOUN
ejpam-6384	267	16	.	.	PUNCT
ejpam-6384	268	1	chaos	chaos	NOUN
ejpam-6384	268	2	,	,	PUNCT
ejpam-6384	268	3	solitons	soliton	NOUN
ejpam-6384	268	4	&	&	CCONJ
ejpam-6384	268	5	fractals	fractal	NOUN
ejpam-6384	268	6	,	,	PUNCT
ejpam-6384	268	7	109:238–245	109:238–245	NUM
ejpam-6384	268	8	,	,	PUNCT
ejpam-6384	268	9	2018	2018	NUM
ejpam-6384	268	10	.	.	PUNCT
ejpam-6384	269	1	[	[	X
ejpam-6384	269	2	17	17	NUM
ejpam-6384	269	3	]	]	X
ejpam-6384	269	4	h.	h.	PROPN
ejpam-6384	269	5	eltayeb	eltayeb	PROPN
ejpam-6384	269	6	and	and	CCONJ
ejpam-6384	269	7	s.	s.	PROPN
ejpam-6384	269	8	mesloub	mesloub	PROPN
ejpam-6384	269	9	.	.	PUNCT
ejpam-6384	270	1	a	a	DET
ejpam-6384	270	2	note	note	NOUN
ejpam-6384	270	3	on	on	ADP
ejpam-6384	270	4	conformable	conformable	ADJ
ejpam-6384	270	5	double	double	ADJ
ejpam-6384	270	6	laplace	laplace	NOUN
ejpam-6384	270	7	transform	transform	NOUN
ejpam-6384	270	8	and	and	CCONJ
ejpam-6384	270	9	singular	singular	ADJ
ejpam-6384	270	10	conformable	conformable	ADJ
ejpam-6384	270	11	pseudoparabolic	pseudoparabolic	ADJ
ejpam-6384	270	12	equations	equation	NOUN
ejpam-6384	270	13	.	.	PUNCT
ejpam-6384	271	1	journal	journal	NOUN
ejpam-6384	271	2	of	of	ADP
ejpam-6384	271	3	function	function	NOUN
ejpam-6384	271	4	spaces	space	NOUN
ejpam-6384	271	5	,	,	PUNCT
ejpam-6384	271	6	2020(1):8106494	2020(1):8106494	NUM
ejpam-6384	271	7	,	,	PUNCT
ejpam-6384	271	8	2020	2020	NUM
ejpam-6384	271	9	.	.	PUNCT