id	sid	tid	token	lemma	pos
iajs-1954	1	1	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	ADP
iajs-1954	1	2	mathmatics	mathmatic	NOUN
iajs-1954	1	3	|	|	ADV
iajs-1954	1	4	151	151	NUM
iajs-1954	1	5	2018	2018	NUM
iajs-1954	1	6	(	(	PUNCT
iajs-1954	1	7	عام	عام	ADP
iajs-1954	1	8	2العدد	2العدد	NUM
iajs-1954	1	9	)	)	PUNCT
iajs-1954	1	10	31المجلد	31المجلد	NUM
iajs-1954	2	1	مجلة	مجلة	VERB
iajs-1954	2	2	إبن	إبن	VERB
iajs-1954	2	3	الهيثم	الهيثم	ADJ
iajs-1954	2	4	للعلوم	للعلوم	NOUN
iajs-1954	2	5	الصرفة	الصرفة	NOUN
iajs-1954	3	1	و	و	PRON
iajs-1954	3	2	التطبيقية	التطبيقية	ADJ
iajs-1954	3	3	ibn	ibn	PROPN
iajs-1954	3	4	al	al	PROPN
iajs-1954	3	5	-	-	PUNCT
iajs-1954	3	6	haitham	haitham	PROPN
iajs-1954	3	7	jour	jour	X
iajs-1954	3	8	.	.	PROPN
iajs-1954	3	9	for	for	ADP
iajs-1954	3	10	pure	pure	ADJ
iajs-1954	3	11	&	&	CCONJ
iajs-1954	3	12	appl	appl	PROPN
iajs-1954	3	13	.	.	PUNCT
iajs-1954	4	1	sci	sci	PROPN
iajs-1954	4	2	.	.	PUNCT
iajs-1954	4	3	vol	vol	NOUN
iajs-1954	4	4	.	.	PROPN
iajs-1954	5	1	31	31	NUM
iajs-1954	5	2	(	(	PUNCT
iajs-1954	5	3	2	2	NUM
iajs-1954	5	4	)	)	PUNCT
iajs-1954	5	5	2018	2018	NUM
iajs-1954	5	6	new	new	ADJ
iajs-1954	5	7	transform	transform	VERB
iajs-1954	5	8	fundamental	fundamental	ADJ
iajs-1954	5	9	properties	property	NOUN
iajs-1954	5	10	and	and	CCONJ
iajs-1954	5	11	its	its	PRON
iajs-1954	5	12	applications	application	NOUN
iajs-1954	5	13	alaa	alaa	PROPN
iajs-1954	5	14	k.	k.	PROPN
iajs-1954	5	15	jabber	jabber	PROPN
iajs-1954	5	16	college	college	PROPN
iajs-1954	5	17	of	of	ADP
iajs-1954	5	18	education/	education/	PROPN
iajs-1954	5	19	university	university	PROPN
iajs-1954	5	20	of	of	ADP
iajs-1954	5	21	al	al	PROPN
iajs-1954	5	22	-	-	PUNCT
iajs-1954	5	23	qadisiyah	qadisiyah	NOUN
iajs-1954	5	24	alaa_almosawi@qu.edu.iq	alaa_almosawi@qu.edu.iq	PROPN
iajs-1954	5	25	luma	luma	PROPN
iajs-1954	5	26	naji	naji	PROPN
iajs-1954	5	27	mohammed	mohammed	PROPN
iajs-1954	5	28	tawfiq	tawfiq	PROPN
iajs-1954	5	29	dept	dept	PROPN
iajs-1954	5	30	of	of	ADP
iajs-1954	5	31	.	.	PUNCT
iajs-1954	6	1	mathematics	mathematic	NOUN
iajs-1954	6	2	/college	/college	PROPN
iajs-1954	6	3	of	of	ADP
iajs-1954	6	4	education	education	NOUN
iajs-1954	6	5	for	for	ADP
iajs-1954	6	6	pure	pure	ADJ
iajs-1954	6	7	science	science	NOUN
iajs-1954	6	8	(	(	PUNCT
iajs-1954	6	9	ibn	ibn	PROPN
iajs-1954	6	10	al	al	PROPN
iajs-1954	6	11	-	-	PUNCT
iajs-1954	6	12	haitham)/	haitham)/	PROPN
iajs-1954	6	13	university	university	PROPN
iajs-1954	6	14	of	of	ADP
iajs-1954	6	15	baghdad	baghdad	PROPN
iajs-1954	6	16	luma.n.m@ihcoedu.uobaghdad.edu.iq	luma.n.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-1954	6	17	received	receive	VERB
iajs-1954	6	18	in:24	in:24	PROPN
iajs-1954	6	19	/	/	SYM
iajs-1954	6	20	april/2018	april/2018	NOUN
iajs-1954	6	21	,	,	PUNCT
iajs-1954	6	22	acceptedin:29	acceptedin:29	AUX
iajs-1954	6	23	/	/	SYM
iajs-1954	6	24	may/2018	may/2018	NOUN
iajs-1954	6	25	abstract	abstract	ADV
iajs-1954	6	26	in	in	ADP
iajs-1954	6	27	this	this	DET
iajs-1954	6	28	paper	paper	NOUN
iajs-1954	6	29	,	,	PUNCT
iajs-1954	6	30	new	new	ADJ
iajs-1954	6	31	transform	transform	NOUN
iajs-1954	6	32	with	with	ADP
iajs-1954	6	33	fundamental	fundamental	ADJ
iajs-1954	6	34	properties	property	NOUN
iajs-1954	6	35	are	be	AUX
iajs-1954	6	36	presented	present	VERB
iajs-1954	6	37	.	.	PUNCT
iajs-1954	7	1	the	the	DET
iajs-1954	7	2	new	new	ADJ
iajs-1954	7	3	transform	transform	NOUN
iajs-1954	7	4	has	have	VERB
iajs-1954	7	5	many	many	ADJ
iajs-1954	7	6	interesting	interesting	ADJ
iajs-1954	7	7	properties	property	NOUN
iajs-1954	7	8	and	and	CCONJ
iajs-1954	7	9	applications	application	NOUN
iajs-1954	7	10	which	which	PRON
iajs-1954	7	11	make	make	VERB
iajs-1954	7	12	it	it	PRON
iajs-1954	7	13	rival	rival	ADJ
iajs-1954	7	14	to	to	ADP
iajs-1954	7	15	other	other	ADJ
iajs-1954	7	16	transforms	transform	NOUN
iajs-1954	7	17	.	.	PUNCT
iajs-1954	8	1	furthermore	furthermore	ADV
iajs-1954	8	2	,	,	PUNCT
iajs-1954	8	3	we	we	PRON
iajs-1954	8	4	generalize	generalize	VERB
iajs-1954	8	5	all	all	DET
iajs-1954	8	6	existing	exist	VERB
iajs-1954	8	7	differentiation	differentiation	NOUN
iajs-1954	8	8	,	,	PUNCT
iajs-1954	8	9	integration	integration	NOUN
iajs-1954	8	10	,	,	PUNCT
iajs-1954	8	11	and	and	CCONJ
iajs-1954	8	12	convolution	convolution	NOUN
iajs-1954	8	13	theorems	theorem	NOUN
iajs-1954	8	14	in	in	ADP
iajs-1954	8	15	the	the	DET
iajs-1954	8	16	existing	exist	VERB
iajs-1954	8	17	literature	literature	NOUN
iajs-1954	8	18	.	.	PUNCT
iajs-1954	9	1	new	new	ADJ
iajs-1954	9	2	results	result	NOUN
iajs-1954	9	3	and	and	CCONJ
iajs-1954	9	4	new	new	ADJ
iajs-1954	9	5	shifting	shift	VERB
iajs-1954	9	6	theorems	theorem	NOUN
iajs-1954	9	7	are	be	AUX
iajs-1954	9	8	introduced	introduce	VERB
iajs-1954	9	9	.	.	PUNCT
iajs-1954	10	1	finally	finally	ADV
iajs-1954	10	2	,	,	PUNCT
iajs-1954	10	3	comprehensive	comprehensive	ADJ
iajs-1954	10	4	list	list	NOUN
iajs-1954	10	5	of	of	ADP
iajs-1954	10	6	this	this	DET
iajs-1954	10	7	transforms	transform	NOUN
iajs-1954	10	8	of	of	ADP
iajs-1954	10	9	functions	function	NOUN
iajs-1954	10	10	will	will	AUX
iajs-1954	10	11	be	be	AUX
iajs-1954	10	12	providing	provide	VERB
iajs-1954	10	13	.	.	PUNCT
iajs-1954	11	1	keywords	keyword	NOUN
iajs-1954	11	2	:	:	PUNCT
iajs-1954	11	3	functions	function	NOUN
iajs-1954	11	4	transform	transform	VERB
iajs-1954	11	5	,	,	PUNCT
iajs-1954	11	6	integral	integral	ADJ
iajs-1954	11	7	transform	transform	NOUN
iajs-1954	11	8	,	,	PUNCT
iajs-1954	11	9	distribution	distribution	NOUN
iajs-1954	11	10	space	space	NOUN
iajs-1954	11	11	.	.	PUNCT
iajs-1954	12	1	mailto:alaa_almosawi@qu.edu.iq	mailto:alaa_almosawi@qu.edu.iq	NOUN
iajs-1954	12	2	mailto:luma.n.m@ihcoedu.uobaghdad.edu.iq	mailto:luma.n.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-1954	12	3	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	PART
iajs-1954	12	4	mathmatics	mathmatic	NOUN
iajs-1954	12	5	|	|	ADV
iajs-1954	12	6	152	152	NUM
iajs-1954	12	7	2018	2018	NUM
iajs-1954	12	8	(	(	PUNCT
iajs-1954	12	9	عام	عام	ADP
iajs-1954	12	10	2العدد	2العدد	NUM
iajs-1954	12	11	)	)	PUNCT
iajs-1954	12	12	31المجلد	31المجلد	NUM
iajs-1954	12	13	مجلة	مجلة	VERB
iajs-1954	12	14	إبن	إبن	VERB
iajs-1954	12	15	الهيثم	الهيثم	ADJ
iajs-1954	12	16	للعلوم	للعلوم	NOUN
iajs-1954	12	17	الصرفة	الصرفة	NOUN
iajs-1954	13	1	و	و	PRON
iajs-1954	13	2	التطبيقية	التطبيقية	ADJ
iajs-1954	13	3	ibn	ibn	PROPN
iajs-1954	13	4	al	al	PROPN
iajs-1954	13	5	-	-	PUNCT
iajs-1954	13	6	haitham	haitham	PROPN
iajs-1954	13	7	jour	jour	X
iajs-1954	13	8	.	.	PROPN
iajs-1954	13	9	for	for	ADP
iajs-1954	13	10	pure	pure	ADJ
iajs-1954	13	11	&	&	CCONJ
iajs-1954	13	12	appl	appl	PROPN
iajs-1954	13	13	.	.	PUNCT
iajs-1954	14	1	sci	sci	PROPN
iajs-1954	14	2	.	.	PUNCT
iajs-1954	14	3	vol	vol	NOUN
iajs-1954	14	4	.	.	PROPN
iajs-1954	15	1	31	31	NUM
iajs-1954	15	2	(	(	PUNCT
iajs-1954	15	3	2	2	NUM
iajs-1954	15	4	)	)	PUNCT
iajs-1954	15	5	2018	2018	NUM
iajs-1954	15	6	introduction	introduction	NOUN
iajs-1954	15	7	recently	recently	ADV
iajs-1954	15	8	,	,	PUNCT
iajs-1954	15	9	integral	integral	ADJ
iajs-1954	15	10	transformations	transformation	NOUN
iajs-1954	15	11	played	play	VERB
iajs-1954	15	12	an	an	DET
iajs-1954	15	13	important	important	ADJ
iajs-1954	15	14	role	role	NOUN
iajs-1954	15	15	in	in	ADP
iajs-1954	15	16	many	many	ADJ
iajs-1954	15	17	fields	field	NOUN
iajs-1954	15	18	of	of	ADP
iajs-1954	15	19	science	science	NOUN
iajs-1954	15	20	and	and	CCONJ
iajs-1954	15	21	engineering	engineering	NOUN
iajs-1954	15	22	[	[	X
iajs-1954	15	23	1	1	NUM
iajs-1954	15	24	-	-	SYM
iajs-1954	15	25	4	4	NUM
iajs-1954	15	26	]	]	PUNCT
iajs-1954	15	27	,	,	PUNCT
iajs-1954	15	28	especially	especially	ADV
iajs-1954	15	29	mathematical	mathematical	ADJ
iajs-1954	15	30	physics	physics	NOUN
iajs-1954	16	1	[	[	X
iajs-1954	16	2	5	5	NUM
iajs-1954	16	3	]	]	PUNCT
iajs-1954	16	4	,	,	PUNCT
iajs-1954	16	5	optics	optic	NOUN
iajs-1954	16	6	[	[	X
iajs-1954	16	7	6	6	NUM
iajs-1954	16	8	]	]	PUNCT
iajs-1954	16	9	,	,	PUNCT
iajs-1954	16	10	engineering	engineering	NOUN
iajs-1954	16	11	mathematics	mathematic	NOUN
iajs-1954	16	12	[	[	X
iajs-1954	16	13	7	7	NUM
iajs-1954	16	14	,	,	PUNCT
iajs-1954	16	15	8	8	NUM
iajs-1954	16	16	]	]	PUNCT
iajs-1954	16	17	,	,	PUNCT
iajs-1954	16	18	cryptography	cryptography	NOUN
iajs-1954	17	1	[	[	X
iajs-1954	17	2	9	9	NUM
iajs-1954	17	3	]	]	PUNCT
iajs-1954	17	4	,	,	PUNCT
iajs-1954	17	5	image	image	NOUN
iajs-1954	17	6	processing	processing	NOUN
iajs-1954	17	7	[	[	X
iajs-1954	17	8	10	10	NUM
iajs-1954	17	9	]	]	PUNCT
iajs-1954	17	10	and	and	CCONJ
iajs-1954	17	11	,	,	PUNCT
iajs-1954	17	12	few	few	ADJ
iajs-1954	17	13	others	other	NOUN
iajs-1954	17	14	,	,	PUNCT
iajs-1954	17	15	because	because	SCONJ
iajs-1954	17	16	they	they	PRON
iajs-1954	17	17	have	have	AUX
iajs-1954	17	18	been	be	AUX
iajs-1954	17	19	successfully	successfully	ADV
iajs-1954	17	20	used	use	VERB
iajs-1954	17	21	in	in	ADP
iajs-1954	17	22	solving	solve	VERB
iajs-1954	17	23	many	many	ADJ
iajs-1954	17	24	problems	problem	NOUN
iajs-1954	17	25	in	in	ADP
iajs-1954	17	26	those	those	DET
iajs-1954	17	27	fields	field	NOUN
iajs-1954	17	28	.	.	PUNCT
iajs-1954	18	1	the	the	DET
iajs-1954	18	2	possibility	possibility	NOUN
iajs-1954	18	3	of	of	ADP
iajs-1954	18	4	solving	solve	VERB
iajs-1954	18	5	a	a	DET
iajs-1954	18	6	problem	problem	NOUN
iajs-1954	18	7	is	be	AUX
iajs-1954	18	8	required	require	VERB
iajs-1954	18	9	transforming	transform	VERB
iajs-1954	18	10	the	the	DET
iajs-1954	18	11	problem	problem	NOUN
iajs-1954	18	12	from	from	ADP
iajs-1954	18	13	a	a	DET
iajs-1954	18	14	space	space	NOUN
iajs-1954	18	15	to	to	ADP
iajs-1954	18	16	another	another	DET
iajs-1954	18	17	space	space	NOUN
iajs-1954	18	18	where	where	SCONJ
iajs-1954	18	19	the	the	DET
iajs-1954	18	20	solving	solving	NOUN
iajs-1954	18	21	is	be	AUX
iajs-1954	18	22	possible	possible	ADJ
iajs-1954	18	23	or	or	CCONJ
iajs-1954	18	24	easy	easy	ADJ
iajs-1954	18	25	.	.	PUNCT
iajs-1954	19	1	as	as	ADV
iajs-1954	19	2	well	well	ADV
iajs-1954	19	3	as	as	ADP
iajs-1954	19	4	the	the	DET
iajs-1954	19	5	possibility	possibility	NOUN
iajs-1954	19	6	of	of	ADP
iajs-1954	19	7	decreasing	decrease	VERB
iajs-1954	19	8	the	the	DET
iajs-1954	19	9	independent	independent	ADJ
iajs-1954	19	10	variables	variable	NOUN
iajs-1954	19	11	in	in	ADP
iajs-1954	19	12	some	some	DET
iajs-1954	19	13	problems	problem	NOUN
iajs-1954	19	14	.	.	PUNCT
iajs-1954	20	1	many	many	ADJ
iajs-1954	20	2	of	of	ADP
iajs-1954	20	3	these	these	DET
iajs-1954	20	4	transforms	transform	NOUN
iajs-1954	20	5	have	have	AUX
iajs-1954	20	6	been	be	AUX
iajs-1954	20	7	introduced	introduce	VERB
iajs-1954	20	8	which	which	PRON
iajs-1954	20	9	were	be	AUX
iajs-1954	20	10	extensively	extensively	ADV
iajs-1954	20	11	used	use	VERB
iajs-1954	20	12	and	and	CCONJ
iajs-1954	20	13	applied	apply	VERB
iajs-1954	20	14	on	on	ADP
iajs-1954	20	15	theory	theory	NOUN
iajs-1954	20	16	and	and	CCONJ
iajs-1954	20	17	applications	application	NOUN
iajs-1954	20	18	,	,	PUNCT
iajs-1954	20	19	such	such	ADJ
iajs-1954	20	20	as	as	ADP
iajs-1954	20	21	laplace	laplace	NOUN
iajs-1954	20	22	[	[	X
iajs-1954	20	23	11	11	NUM
iajs-1954	20	24	,	,	PUNCT
iajs-1954	20	25	12	12	NUM
iajs-1954	20	26	]	]	PUNCT
iajs-1954	20	27	,	,	PUNCT
iajs-1954	20	28	fourier	fourier	NOUN
iajs-1954	21	1	[	[	X
iajs-1954	21	2	2	2	NUM
iajs-1954	21	3	]	]	PUNCT
iajs-1954	21	4	,	,	PUNCT
iajs-1954	21	5	sumudu	sumudu	NOUN
iajs-1954	21	6	[	[	X
iajs-1954	21	7	13	13	NUM
iajs-1954	21	8	,	,	PUNCT
iajs-1954	21	9	14	14	NUM
iajs-1954	21	10	]	]	PUNCT
iajs-1954	21	11	,	,	PUNCT
iajs-1954	21	12	elzaki	elzaki	VERB
iajs-1954	22	1	[	[	X
iajs-1954	22	2	15	15	NUM
iajs-1954	22	3	-	-	SYM
iajs-1954	22	4	17	17	NUM
iajs-1954	22	5	]	]	PUNCT
iajs-1954	22	6	,	,	PUNCT
iajs-1954	22	7	aboodh	aboodh	X
iajs-1954	23	1	[	[	X
iajs-1954	23	2	18	18	NUM
iajs-1954	23	3	]	]	PUNCT
iajs-1954	23	4	,	,	PUNCT
iajs-1954	23	5	natural	natural	ADJ
iajs-1954	23	6	,	,	PUNCT
iajs-1954	23	7	and	and	CCONJ
iajs-1954	23	8	zz	zz	PROPN
iajs-1954	23	9	transforms	transform	VERB
iajs-1954	23	10	[	[	X
iajs-1954	23	11	19	19	NUM
iajs-1954	23	12	]	]	PUNCT
iajs-1954	23	13	.	.	PUNCT
iajs-1954	24	1	among	among	ADP
iajs-1954	24	2	these	these	PRON
iajs-1954	24	3	the	the	DET
iajs-1954	24	4	most	most	ADV
iajs-1954	24	5	widely	widely	ADV
iajs-1954	24	6	used	use	VERB
iajs-1954	24	7	is	be	AUX
iajs-1954	24	8	laplace	laplace	NOUN
iajs-1954	24	9	transform.here	transform.here	NUM
iajs-1954	24	10	,	,	PUNCT
iajs-1954	24	11	new	new	ADJ
iajs-1954	24	12	integral	integral	ADJ
iajs-1954	24	13	transform	transform	NOUN
iajs-1954	24	14	is	be	AUX
iajs-1954	24	15	proposed	propose	VERB
iajs-1954	24	16	to	to	PART
iajs-1954	24	17	avoid	avoid	VERB
iajs-1954	24	18	the	the	DET
iajs-1954	24	19	complexity	complexity	NOUN
iajs-1954	24	20	of	of	ADP
iajs-1954	24	21	previous	previous	ADJ
iajs-1954	24	22	transforms	transform	NOUN
iajs-1954	24	23	.	.	PUNCT
iajs-1954	25	1	definition	definition	NOUN
iajs-1954	25	2	of	of	ADP
iajs-1954	25	3	new	new	ADJ
iajs-1954	25	4	transform	transform	VERB
iajs-1954	25	5	the	the	DET
iajs-1954	25	6	transform	transform	NOUN
iajs-1954	25	7	of	of	ADP
iajs-1954	25	8	a	a	DET
iajs-1954	25	9	function	function	NOUN
iajs-1954	25	10	f(t)is	f(t)is	PUNCT
iajs-1954	25	11	defined	define	VERB
iajs-1954	25	12	by	by	ADP
iajs-1954	25	13	(	(	PUNCT
iajs-1954	25	14	̅	̅	NOUN
iajs-1954	25	15	)	)	PUNCT
iajs-1954	25	16	*	*	PUNCT
iajs-1954	26	1	(	(	PUNCT
iajs-1954	26	2	)	)	PUNCT
iajs-1954	26	3	+	+	NUM
iajs-1954	26	4	∫	∫	PROPN
iajs-1954	26	5	(	(	PUNCT
iajs-1954	26	6	)	)	PUNCT
iajs-1954	26	7	(	(	PUNCT
iajs-1954	26	8	)	)	PUNCT
iajs-1954	26	9	where	where	SCONJ
iajs-1954	26	10	u	u	NOUN
iajs-1954	26	11	is	be	AUX
iajs-1954	26	12	a	a	DET
iajs-1954	26	13	real	real	ADJ
iajs-1954	26	14	number	number	NOUN
iajs-1954	26	15	,	,	PUNCT
iajs-1954	26	16	for	for	ADP
iajs-1954	26	17	those	those	DET
iajs-1954	26	18	values	value	NOUN
iajs-1954	26	19	of	of	ADP
iajs-1954	26	20	u	u	PRON
iajs-1954	26	21	which	which	PRON
iajs-1954	26	22	the	the	DET
iajs-1954	26	23	improper	improper	ADJ
iajs-1954	26	24	integral	integral	ADJ
iajs-1954	26	25	converges	converge	NOUN
iajs-1954	26	26	.	.	PUNCT
iajs-1954	27	1	lemma	lemma	PROPN
iajs-1954	27	2	1	1	NUM
iajs-1954	27	3	the	the	DET
iajs-1954	27	4	improper	improper	ADJ
iajs-1954	27	5	integral	integral	ADJ
iajs-1954	27	6	∫	∫	PROPN
iajs-1954	27	7	converges	converge	NOUN
iajs-1954	27	8	only	only	ADV
iajs-1954	27	9	for	for	ADP
iajs-1954	27	10	a	a	DET
iajs-1954	27	11	>	>	X
iajs-1954	27	12	0	0	X
iajs-1954	27	13	.	.	PUNCT
iajs-1954	28	1	proof	proof	NOUN
iajs-1954	28	2	∫	∫	PROPN
iajs-1954	28	3	∫	∫	PROPN
iajs-1954	28	4	(	(	PUNCT
iajs-1954	28	5	)	)	PUNCT
iajs-1954	28	6	in	in	ADP
iajs-1954	28	7	the	the	DET
iajs-1954	28	8	case	case	NOUN
iajs-1954	28	9	that	that	SCONJ
iajs-1954	28	10	a	a	DET
iajs-1954	28	11	=	=	SYM
iajs-1954	28	12	0	0	NUM
iajs-1954	28	13	,	,	PUNCT
iajs-1954	28	14	the	the	DET
iajs-1954	28	15	improper	improper	ADJ
iajs-1954	28	16	integral	integral	NOUN
iajs-1954	28	17	is	be	AUX
iajs-1954	28	18	diverging	diverge	VERB
iajs-1954	28	19	,	,	PUNCT
iajs-1954	28	20	since	since	SCONJ
iajs-1954	28	21	we	we	PRON
iajs-1954	28	22	are	be	AUX
iajs-1954	28	23	computing	compute	VERB
iajs-1954	28	24	the	the	DET
iajs-1954	28	25	area	area	NOUN
iajs-1954	28	26	of	of	ADP
iajs-1954	28	27	a	a	DET
iajs-1954	28	28	rectangle	rectangle	NOUN
iajs-1954	28	29	with	with	ADP
iajs-1954	28	30	sides	side	NOUN
iajs-1954	28	31	equal	equal	ADJ
iajs-1954	28	32	to	to	ADP
iajs-1954	28	33	one	one	NUM
iajs-1954	28	34	and	and	CCONJ
iajs-1954	28	35	infinity	infinity	NOUN
iajs-1954	28	36	.	.	PUNCT
iajs-1954	29	1	in	in	ADP
iajs-1954	29	2	the	the	DET
iajs-1954	29	3	case	case	NOUN
iajs-1954	29	4	a	a	DET
iajs-1954	29	5	<	<	X
iajs-1954	29	6	0	0	NUM
iajs-1954	29	7	,	,	PUNCT
iajs-1954	29	8	holds	hold	VERB
iajs-1954	29	9	(	(	PUNCT
iajs-1954	29	10	)	)	PUNCT
iajs-1954	29	11	therefore	therefore	ADV
iajs-1954	29	12	,	,	PUNCT
iajs-1954	29	13	the	the	DET
iajs-1954	29	14	improper	improper	ADJ
iajs-1954	29	15	integral	integral	ADJ
iajs-1954	29	16	converges	converge	NOUN
iajs-1954	29	17	only	only	ADV
iajs-1954	29	18	for	for	ADP
iajs-1954	29	19	a	a	PRON
iajs-1954	29	20	>	>	SYM
iajs-1954	29	21	0	0	NUM
iajs-1954	29	22	.	.	PUNCT
iajs-1954	30	1	remark	remark	PROPN
iajs-1954	30	2	:	:	PUNCT
iajs-1954	30	3	lemma	lemma	PROPN
iajs-1954	30	4	(	(	PUNCT
iajs-1954	30	5	1	1	X
iajs-1954	30	6	)	)	PUNCT
iajs-1954	30	7	holds	hold	VERB
iajs-1954	30	8	when	when	SCONJ
iajs-1954	30	9	t[0,	t[0,	ADJ
iajs-1954	30	10	)	)	PUNCT
iajs-1954	30	11	,	,	PUNCT
iajs-1954	30	12	if	if	SCONJ
iajs-1954	30	13	t(-,0	t(-,0	NOUN
iajs-1954	30	14	]	]	X
iajs-1954	30	15	then	then	ADV
iajs-1954	30	16	the	the	DET
iajs-1954	30	17	condition	condition	NOUN
iajs-1954	30	18	of	of	ADP
iajs-1954	30	19	convergence	convergence	NOUN
iajs-1954	30	20	is	be	AUX
iajs-1954	30	21	a<0	a<0	ADJ
iajs-1954	30	22	.	.	PUNCT
iajs-1954	31	1	now	now	ADV
iajs-1954	31	2	,	,	PUNCT
iajs-1954	31	3	we	we	PRON
iajs-1954	31	4	give	give	VERB
iajs-1954	31	5	illustrated	illustrate	VERB
iajs-1954	31	6	examples	example	NOUN
iajs-1954	31	7	example	example	NOUN
iajs-1954	31	8	1	1	NUM
iajs-1954	31	9	*	*	PUNCT
iajs-1954	32	1	+	+	PUNCT
iajs-1954	32	2	proof	proof	NOUN
iajs-1954	32	3	*	*	PUNCT
iajs-1954	32	4	+	+	NUM
iajs-1954	32	5	∫	∫	PROPN
iajs-1954	32	6	(	(	PUNCT
iajs-1954	32	7	)	)	PUNCT
iajs-1954	32	8	∫	∫	PROPN
iajs-1954	32	9	(	(	PUNCT
iajs-1954	32	10	)	)	PUNCT
iajs-1954	32	11	using	use	VERB
iajs-1954	32	12	the	the	DET
iajs-1954	32	13	rule	rule	NOUN
iajs-1954	32	14	of	of	ADP
iajs-1954	32	15	integral	integral	ADJ
iajs-1954	32	16	by	by	ADP
iajs-1954	32	17	part	part	NOUN
iajs-1954	32	18	n	n	DET
iajs-1954	32	19	times	time	NOUN
iajs-1954	32	20	to	to	PART
iajs-1954	32	21	get	get	VERB
iajs-1954	32	22	∫	∫	PROPN
iajs-1954	32	23	,	,	PUNCT
iajs-1954	32	24	(	(	PUNCT
iajs-1954	32	25	)	)	PUNCT
iajs-1954	32	26	substituted	substitute	VERB
iajs-1954	32	27	the	the	DET
iajs-1954	32	28	value	value	NOUN
iajs-1954	32	29	in	in	ADP
iajs-1954	32	30	(	(	PUNCT
iajs-1954	32	31	3	3	NUM
iajs-1954	32	32	)	)	PUNCT
iajs-1954	32	33	into	into	ADP
iajs-1954	32	34	(	(	PUNCT
iajs-1954	32	35	2	2	NUM
iajs-1954	32	36	)	)	PUNCT
iajs-1954	32	37	to	to	PART
iajs-1954	32	38	obtain	obtain	VERB
iajs-1954	32	39	*	*	PUNCT
iajs-1954	33	1	+	+	PUNCT
iajs-1954	33	2	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	NOUN
iajs-1954	33	3	mathmatics	mathmatic	NOUN
iajs-1954	33	4	|	|	ADV
iajs-1954	33	5	153	153	NUM
iajs-1954	33	6	2018	2018	NUM
iajs-1954	33	7	(	(	PUNCT
iajs-1954	33	8	عام	عام	ADP
iajs-1954	33	9	2العدد	2العدد	NUM
iajs-1954	33	10	)	)	PUNCT
iajs-1954	33	11	31المجلد	31المجلد	NUM
iajs-1954	33	12	مجلة	مجلة	VERB
iajs-1954	33	13	إبن	إبن	VERB
iajs-1954	33	14	الهيثم	الهيثم	ADJ
iajs-1954	33	15	للعلوم	للعلوم	NOUN
iajs-1954	33	16	الصرفة	الصرفة	NOUN
iajs-1954	34	1	و	و	PRON
iajs-1954	34	2	التطبيقية	التطبيقية	ADJ
iajs-1954	34	3	ibn	ibn	PROPN
iajs-1954	34	4	al	al	PROPN
iajs-1954	34	5	-	-	PUNCT
iajs-1954	34	6	haitham	haitham	PROPN
iajs-1954	34	7	jour	jour	X
iajs-1954	34	8	.	.	PROPN
iajs-1954	34	9	for	for	ADP
iajs-1954	34	10	pure	pure	ADJ
iajs-1954	34	11	&	&	CCONJ
iajs-1954	34	12	appl	appl	PROPN
iajs-1954	34	13	.	.	PUNCT
iajs-1954	35	1	sci	sci	PROPN
iajs-1954	35	2	.	.	PUNCT
iajs-1954	35	3	vol	vol	NOUN
iajs-1954	35	4	.	.	PROPN
iajs-1954	36	1	31	31	NUM
iajs-1954	36	2	(	(	PUNCT
iajs-1954	36	3	2	2	NUM
iajs-1954	36	4	)	)	PUNCT
iajs-1954	36	5	2018	2018	NUM
iajs-1954	36	6	example	example	NOUN
iajs-1954	36	7	2	2	NUM
iajs-1954	36	8	*	*	PUNCT
iajs-1954	36	9	+	+	PUNCT
iajs-1954	36	10	{	{	PUNCT
iajs-1954	36	11	,	,	PUNCT
iajs-1954	36	12	,	,	PUNCT
iajs-1954	36	13	proof	proof	NOUN
iajs-1954	36	14	*	*	PUNCT
iajs-1954	36	15	+	+	NUM
iajs-1954	36	16	∫	∫	PROPN
iajs-1954	36	17	∫	∫	PROPN
iajs-1954	36	18	(	(	PUNCT
iajs-1954	36	19	)	)	PUNCT
iajs-1954	36	20	|	|	ADV
iajs-1954	36	21	by	by	ADP
iajs-1954	36	22	lemma	lemma	PROPN
iajs-1954	36	23	(	(	PUNCT
iajs-1954	36	24	1	1	NUM
iajs-1954	36	25	)	)	PUNCT
iajs-1954	36	26	,	,	PUNCT
iajs-1954	36	27	the	the	DET
iajs-1954	36	28	condition	condition	NOUN
iajs-1954	36	29	of	of	ADP
iajs-1954	36	30	convergence	convergence	NOUN
iajs-1954	36	31	is	be	AUX
iajs-1954	36	32	if	if	SCONJ
iajs-1954	36	33	a0	a0	PRON
iajs-1954	36	34	then	then	ADV
iajs-1954	36	35	the	the	DET
iajs-1954	36	36	condition	condition	NOUN
iajs-1954	36	37	holds	hold	VERB
iajs-1954	36	38	for	for	ADP
iajs-1954	36	39	all	all	DET
iajs-1954	36	40	u	u	NOUN
iajs-1954	36	41	>	>	NOUN
iajs-1954	36	42	a	a	PRON
iajs-1954	36	43	or	or	CCONJ
iajs-1954	36	44	u<0	u<0	NOUN
iajs-1954	36	45	,	,	PUNCT
iajs-1954	36	46	that	that	PRON
iajs-1954	36	47	isur\	isur\	VERB
iajs-1954	36	48	[	[	X
iajs-1954	36	49	0,a	0,a	X
iajs-1954	36	50	]	]	X
iajs-1954	36	51	if	if	SCONJ
iajs-1954	36	52	a<0	a<0	PROPN
iajs-1954	36	53	then	then	ADV
iajs-1954	36	54	the	the	DET
iajs-1954	36	55	condition	condition	NOUN
iajs-1954	36	56	holds	hold	VERB
iajs-1954	36	57	for	for	ADP
iajs-1954	36	58	all	all	DET
iajs-1954	36	59	u	u	NOUN
iajs-1954	36	60	<	<	X
iajs-1954	36	61	a	a	PRON
iajs-1954	36	62	or	or	CCONJ
iajs-1954	36	63	u>0	u>0	ADJ
iajs-1954	36	64	,	,	PUNCT
iajs-1954	36	65	that	that	PRON
iajs-1954	36	66	isur\	isur\	VERB
iajs-1954	36	67	[	[	X
iajs-1954	36	68	a,0	a,0	SYM
iajs-1954	36	69	]	]	X
iajs-1954	36	70	example	example	NOUN
iajs-1954	36	71	3	3	NUM
iajs-1954	36	72	*	*	PUNCT
iajs-1954	36	73	(	(	PUNCT
iajs-1954	36	74	)	)	PUNCT
iajs-1954	37	1	+	+	NUM
iajs-1954	37	2	*	*	PUNCT
iajs-1954	37	3	(	(	PUNCT
iajs-1954	37	4	)	)	PUNCT
iajs-1954	37	5	+	+	NUM
iajs-1954	37	6	proof	proof	NOUN
iajs-1954	37	7	using	use	VERB
iajs-1954	37	8	the	the	DET
iajs-1954	37	9	rule	rule	NOUN
iajs-1954	37	10	of	of	ADP
iajs-1954	37	11	integral	integral	ADJ
iajs-1954	37	12	by	by	ADP
iajs-1954	37	13	part	part	NOUN
iajs-1954	37	14	with	with	ADP
iajs-1954	37	15	u0	u0	PROPN
iajs-1954	37	16	,	,	PUNCT
iajs-1954	37	17	to	to	PART
iajs-1954	37	18	get	get	VERB
iajs-1954	37	19	*	*	PUNCT
iajs-1954	37	20	(	(	PUNCT
iajs-1954	37	21	)	)	PUNCT
iajs-1954	37	22	+	+	NUM
iajs-1954	37	23	∫	∫	PROPN
iajs-1954	37	24	(	(	PUNCT
iajs-1954	37	25	)	)	PUNCT
iajs-1954	37	26	similarly	similarly	ADV
iajs-1954	37	27	*	*	PUNCT
iajs-1954	37	28	(	(	PUNCT
iajs-1954	37	29	)	)	PUNCT
iajs-1954	37	30	+	+	CCONJ
iajs-1954	37	31	a	a	DET
iajs-1954	37	32	list	list	NOUN
iajs-1954	37	33	of	of	ADP
iajs-1954	37	34	the	the	DET
iajs-1954	37	35	new	new	ADJ
iajs-1954	37	36	transforms	transform	NOUN
iajs-1954	37	37	for	for	ADP
iajs-1954	37	38	common	common	ADJ
iajs-1954	37	39	functionsis	functionsis	NOUN
iajs-1954	37	40	presentedin	presentedin	VERB
iajs-1954	37	41	thetable	thetable	ADJ
iajs-1954	37	42	(	(	PUNCT
iajs-1954	37	43	1	1	NUM
iajs-1954	37	44	)	)	PUNCT
iajs-1954	37	45	.	.	PUNCT
iajs-1954	38	1	this	this	PRON
iajs-1954	38	2	can	can	AUX
iajs-1954	38	3	be	be	AUX
iajs-1954	38	4	computed	compute	VERB
iajs-1954	38	5	in	in	ADP
iajs-1954	38	6	the	the	DET
iajs-1954	38	7	same	same	ADJ
iajs-1954	38	8	manner	manner	NOUN
iajs-1954	38	9	of	of	ADP
iajs-1954	38	10	previous	previous	ADJ
iajs-1954	38	11	examples	example	NOUN
iajs-1954	38	12	.	.	PUNCT
iajs-1954	39	1	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	NOUN
iajs-1954	39	2	mathmatics	mathmatic	NOUN
iajs-1954	39	3	|	|	ADV
iajs-1954	39	4	154	154	NUM
iajs-1954	39	5	2018	2018	NUM
iajs-1954	39	6	(	(	PUNCT
iajs-1954	39	7	عام	عام	ADP
iajs-1954	39	8	2العدد	2العدد	NUM
iajs-1954	39	9	)	)	PUNCT
iajs-1954	39	10	31المجلد	31المجلد	NUM
iajs-1954	40	1	مجلة	مجلة	VERB
iajs-1954	40	2	إبن	إبن	VERB
iajs-1954	40	3	الهيثم	الهيثم	ADJ
iajs-1954	40	4	للعلوم	للعلوم	NOUN
iajs-1954	40	5	الصرفة	الصرفة	NOUN
iajs-1954	41	1	و	و	PRON
iajs-1954	41	2	التطبيقية	التطبيقية	ADJ
iajs-1954	41	3	ibn	ibn	PROPN
iajs-1954	41	4	al	al	PROPN
iajs-1954	41	5	-	-	PUNCT
iajs-1954	41	6	haitham	haitham	PROPN
iajs-1954	41	7	jour	jour	X
iajs-1954	41	8	.	.	PROPN
iajs-1954	41	9	for	for	ADP
iajs-1954	41	10	pure	pure	ADJ
iajs-1954	41	11	&	&	CCONJ
iajs-1954	41	12	appl	appl	PROPN
iajs-1954	41	13	.	.	PUNCT
iajs-1954	42	1	sci	sci	PROPN
iajs-1954	42	2	.	.	PUNCT
iajs-1954	42	3	vol	vol	NOUN
iajs-1954	42	4	.	.	PROPN
iajs-1954	43	1	31	31	NUM
iajs-1954	43	2	(	(	PUNCT
iajs-1954	43	3	2	2	NUM
iajs-1954	43	4	)	)	SYM
iajs-1954	43	5	2018	2018	NUM
iajs-1954	43	6	table	table	NOUN
iajs-1954	43	7	(	(	PUNCT
iajs-1954	43	8	1	1	NUM
iajs-1954	43	9	):	):	PUNCT
iajs-1954	43	10	new	new	ADJ
iajs-1954	43	11	transforms	transform	VERB
iajs-1954	43	12	for	for	ADP
iajs-1954	43	13	some	some	DET
iajs-1954	43	14	common	common	ADJ
iajs-1954	43	15	functions	function	NOUN
iajs-1954	43	16	f(t	f(t	NOUN
iajs-1954	43	17	)	)	PUNCT
iajs-1954	43	18	(	(	PUNCT
iajs-1954	43	19	̅	̅	NOUN
iajs-1954	43	20	)	)	PUNCT
iajs-1954	43	21	*	*	PUNCT
iajs-1954	43	22	(	(	PUNCT
iajs-1954	43	23	)	)	PUNCT
iajs-1954	43	24	+	+	NUM
iajs-1954	43	25	̅	̅	NOUN
iajs-1954	43	26	t	t	X
iajs-1954	43	27	n	n	NOUN
iajs-1954	43	28	,	,	PUNCT
iajs-1954	43	29	n=0,1	n=0,1	ADV
iajs-1954	43	30	,	,	PUNCT
iajs-1954	43	31	…	…	PUNCT
iajs-1954	43	32	t	t	PROPN
iajs-1954	43	33	a	a	PRON
iajs-1954	43	34	,	,	PUNCT
iajs-1954	43	35	a>0	a>0	PROPN
iajs-1954	43	36	(a+1)/u	(a+1)/u	VERB
iajs-1954	43	37	a	a	DET
iajs-1954	43	38	u0	u0	PROPN
iajs-1954	43	39	e	e	NOUN
iajs-1954	43	40	at	at	ADP
iajs-1954	43	41	ur\[0,a	ur\[0,a	PROPN
iajs-1954	43	42	]	]	PUNCT
iajs-1954	43	43	if	if	SCONJ
iajs-1954	43	44	a0	a0	ADP
iajs-1954	43	45	ur\[a,0	ur\[a,0	NOUN
iajs-1954	43	46	]	]	PUNCT
iajs-1954	43	47	if	if	SCONJ
iajs-1954	43	48	a<0	a<0	PROPN
iajs-1954	43	49	sin(at	sin(at	PROPN
iajs-1954	43	50	)	)	PUNCT
iajs-1954	43	51	cos(at	cos(at	NOUN
iajs-1954	43	52	)	)	PUNCT
iajs-1954	43	53	sinh(at	sinh(at	NOUN
iajs-1954	43	54	)	)	PUNCT
iajs-1954	44	1	|	|	ADV
iajs-1954	45	1	|	|	ADV
iajs-1954	45	2	|	|	ADV
iajs-1954	45	3	|	|	ADV
iajs-1954	45	4	cosh(at	cosh(at	NOUN
iajs-1954	45	5	)	)	PUNCT
iajs-1954	46	1	|	|	ADV
iajs-1954	47	1	|	|	ADV
iajs-1954	47	2	|	|	ADV
iajs-1954	47	3	|	|	ADV
iajs-1954	47	4	ua(t)=u(t	ua(t)=u(t	ADV
iajs-1954	47	5	-	-	PUNCT
iajs-1954	47	6	a)=h(t	a)=h(t	NOUN
iajs-1954	47	7	-	-	PUNCT
iajs-1954	47	8	a	a	NOUN
iajs-1954	47	9	)	)	PUNCT
iajs-1954	47	10	e	e	NOUN
iajs-1954	47	11	-au	-au	ADP
iajs-1954	47	12	u>0	u>0	PROPN
iajs-1954	47	13	(t	(t	NOUN
iajs-1954	47	14	-	-	NOUN
iajs-1954	47	15	a	a	NOUN
iajs-1954	47	16	)	)	PUNCT
iajs-1954	47	17	e	e	NOUN
iajs-1954	47	18	-au	-au	ADP
iajs-1954	47	19	/u	/u	PUNCT
iajs-1954	47	20	u>0	u>0	PROPN
iajs-1954	47	21	ln(at	ln(at	PROPN
iajs-1954	47	22	)	)	PUNCT
iajs-1954	47	23	,	,	PUNCT
iajs-1954	47	24	a>0	a>0	VERB
iajs-1954	47	25	ln(a	ln(a	NOUN
iajs-1954	47	26	/	/	SYM
iajs-1954	47	27	u)-γ	u)-γ	NOUN
iajs-1954	47	28	u>0	u>0	VERB
iajs-1954	47	29	in	in	ADP
iajs-1954	47	30	the	the	DET
iajs-1954	47	31	next	next	ADJ
iajs-1954	47	32	section	section	NOUN
iajs-1954	47	33	,	,	PUNCT
iajs-1954	47	34	we	we	PRON
iajs-1954	47	35	discuss	discuss	VERB
iajs-1954	47	36	the	the	DET
iajs-1954	47	37	existence	existence	NOUN
iajs-1954	47	38	of	of	ADP
iajs-1954	47	39	the	the	DET
iajs-1954	47	40	new	new	ADJ
iajs-1954	47	41	transform	transform	NOUN
iajs-1954	47	42	existence	existence	NOUN
iajs-1954	47	43	of	of	ADP
iajs-1954	47	44	the	the	DET
iajs-1954	47	45	new	new	ADJ
iajs-1954	47	46	transform	transform	NOUN
iajs-1954	47	47	does	do	AUX
iajs-1954	47	48	the	the	DET
iajs-1954	47	49	new	new	ADJ
iajs-1954	47	50	transform	transform	NOUN
iajs-1954	47	51	always	always	ADV
iajs-1954	47	52	exist?it	exist?it	PRON
iajs-1954	47	53	can	can	AUX
iajs-1954	47	54	be	be	AUX
iajs-1954	47	55	shown	show	VERB
iajs-1954	47	56	that	that	SCONJ
iajs-1954	47	57	∫	∫	PROPN
iajs-1954	47	58	.	.	PUNCT
iajs-1954	47	59	/	/	PUNCT
iajs-1954	48	1	for	for	ADP
iajs-1954	48	2	every	every	DET
iajs-1954	48	3	real	real	ADJ
iajs-1954	48	4	number	number	NOUN
iajs-1954	48	5	u.	u.	PROPN
iajs-1954	48	6	hence	hence	ADV
iajs-1954	48	7	,	,	PUNCT
iajs-1954	48	8	the	the	DET
iajs-1954	48	9	function	function	NOUN
iajs-1954	48	10	does	do	AUX
iajs-1954	48	11	not	not	PART
iajs-1954	48	12	have	have	VERB
iajs-1954	48	13	a	a	DET
iajs-1954	48	14	transform	transform	NOUN
iajs-1954	48	15	.	.	PUNCT
iajs-1954	49	1	in	in	ADP
iajs-1954	49	2	this	this	DET
iajs-1954	49	3	section	section	NOUN
iajs-1954	49	4	,	,	PUNCT
iajs-1954	49	5	we	we	PRON
iajs-1954	49	6	will	will	AUX
iajs-1954	49	7	establish	establish	VERB
iajs-1954	49	8	the	the	DET
iajs-1954	49	9	conditions	condition	NOUN
iajs-1954	49	10	that	that	PRON
iajs-1954	49	11	ensure	ensure	VERB
iajs-1954	49	12	the	the	DET
iajs-1954	49	13	existence	existence	NOUN
iajs-1954	49	14	of	of	ADP
iajs-1954	49	15	the	the	DET
iajs-1954	49	16	new	new	ADJ
iajs-1954	49	17	transform	transform	NOUN
iajs-1954	49	18	of	of	ADP
iajs-1954	49	19	a	a	DET
iajs-1954	49	20	function	function	NOUN
iajs-1954	49	21	.	.	PUNCT
iajs-1954	50	1	we	we	PRON
iajs-1954	50	2	first	first	ADV
iajs-1954	50	3	review	review	VERB
iajs-1954	50	4	some	some	DET
iajs-1954	50	5	relevant	relevant	ADJ
iajs-1954	50	6	definitions	definition	NOUN
iajs-1954	50	7	from	from	ADP
iajs-1954	50	8	calculus	calculus	NOUN
iajs-1954	50	9	,	,	PUNCT
iajs-1954	50	10	and	and	CCONJ
iajs-1954	50	11	for	for	ADP
iajs-1954	50	12	simplicity	simplicity	NOUN
iajs-1954	50	13	,	,	PUNCT
iajs-1954	50	14	we	we	PRON
iajs-1954	50	15	take	take	VERB
iajs-1954	50	16	the	the	DET
iajs-1954	50	17	following	follow	VERB
iajs-1954	50	18	coding	code	VERB
iajs-1954	50	19	(	(	PUNCT
iajs-1954	50	20	)	)	PUNCT
iajs-1954	50	21	(	(	PUNCT
iajs-1954	50	22	)	)	PUNCT
iajs-1954	50	23	(	(	PUNCT
iajs-1954	50	24	)	)	PUNCT
iajs-1954	50	25	(	(	PUNCT
iajs-1954	50	26	)	)	PUNCT
iajs-1954	50	27	definition	definition	NOUN
iajs-1954	50	28	1	1	NUM
iajs-1954	50	29	(	(	PUNCT
iajs-1954	50	30	limit	limit	NOUN
iajs-1954	50	31	)	)	PUNCT
iajs-1954	50	32	the	the	DET
iajs-1954	50	33	limit	limit	NOUN
iajs-1954	50	34	of	of	ADP
iajs-1954	50	35	a	a	DET
iajs-1954	50	36	function	function	NOUN
iajs-1954	50	37	fat	fat	NOUN
iajs-1954	50	38	a	a	DET
iajs-1954	50	39	point	point	NOUN
iajs-1954	50	40	t0exists	t0exist	NOUN
iajs-1954	50	41	if	if	SCONJ
iajs-1954	50	42	and	and	CCONJ
iajs-1954	50	43	only	only	ADV
iajs-1954	50	44	if	if	SCONJ
iajs-1954	50	45	f(t0	f(t0	NOUN
iajs-1954	50	46	+	+	NOUN
iajs-1954	50	47	)	)	PUNCT
iajs-1954	50	48	and	and	CCONJ
iajs-1954	50	49	f(t0	f(t0	NOUN
iajs-1954	50	50	)	)	PUNCT
iajs-1954	50	51	exists	exist	VERB
iajs-1954	50	52	and	and	CCONJ
iajs-1954	50	53	are	be	AUX
iajs-1954	50	54	equal	equal	ADJ
iajs-1954	50	55	,	,	PUNCT
iajs-1954	50	56	that	that	PRON
iajs-1954	50	57	is	be	AUX
iajs-1954	50	58	:	:	PUNCT
iajs-1954	50	59	(	(	PUNCT
iajs-1954	50	60	)	)	PUNCT
iajs-1954	50	61	(	(	PUNCT
iajs-1954	50	62	)	)	PUNCT
iajs-1954	50	63	(	(	PUNCT
iajs-1954	50	64	)	)	PUNCT
iajs-1954	50	65	definition	definition	NOUN
iajs-1954	50	66	2	2	NUM
iajs-1954	50	67	(	(	PUNCT
iajs-1954	50	68	continuous	continuous	ADJ
iajs-1954	50	69	)	)	PUNCT
iajs-1954	50	70	the	the	DET
iajs-1954	50	71	function	function	NOUN
iajs-1954	50	72	f	f	PROPN
iajs-1954	50	73	is	be	AUX
iajs-1954	50	74	continuous	continuous	ADJ
iajs-1954	50	75	at	at	ADP
iajs-1954	50	76	a	a	DET
iajs-1954	50	77	point	point	NOUN
iajs-1954	50	78	t0	t0	NOUN
iajs-1954	50	79	in	in	ADP
iajs-1954	50	80	an	an	DET
iajs-1954	50	81	open	open	ADJ
iajs-1954	50	82	interval	interval	NOUN
iajs-1954	50	83	(	(	PUNCT
iajs-1954	50	84	a	a	DET
iajs-1954	50	85	,	,	PUNCT
iajs-1954	50	86	b	b	NOUN
iajs-1954	50	87	)	)	PUNCT
iajs-1954	51	1	if	if	SCONJ
iajs-1954	51	2	and	and	CCONJ
iajs-1954	51	3	only	only	ADV
iajs-1954	51	4	if	if	SCONJ
iajs-1954	51	5	(	(	PUNCT
iajs-1954	51	6	)	)	PUNCT
iajs-1954	51	7	(	(	PUNCT
iajs-1954	51	8	)	)	PUNCT
iajs-1954	51	9	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	ADP
iajs-1954	51	10	mathmatics	mathmatic	NOUN
iajs-1954	51	11	|	|	ADV
iajs-1954	51	12	155	155	NUM
iajs-1954	51	13	2018	2018	NUM
iajs-1954	51	14	(	(	PUNCT
iajs-1954	51	15	عام	عام	ADP
iajs-1954	51	16	2العدد	2العدد	NUM
iajs-1954	51	17	)	)	PUNCT
iajs-1954	51	18	31المجلد	31المجلد	NUM
iajs-1954	52	1	مجلة	مجلة	VERB
iajs-1954	52	2	إبن	إبن	VERB
iajs-1954	52	3	الهيثم	الهيثم	ADJ
iajs-1954	52	4	للعلوم	للعلوم	NOUN
iajs-1954	52	5	الصرفة	الصرفة	NOUN
iajs-1954	53	1	و	و	PRON
iajs-1954	53	2	التطبيقية	التطبيقية	ADJ
iajs-1954	53	3	ibn	ibn	PROPN
iajs-1954	53	4	al	al	PROPN
iajs-1954	53	5	-	-	PUNCT
iajs-1954	53	6	haitham	haitham	PROPN
iajs-1954	53	7	jour	jour	X
iajs-1954	53	8	.	.	PROPN
iajs-1954	53	9	for	for	ADP
iajs-1954	53	10	pure	pure	ADJ
iajs-1954	53	11	&	&	CCONJ
iajs-1954	53	12	appl	appl	PROPN
iajs-1954	53	13	.	.	PUNCT
iajs-1954	54	1	sci	sci	PROPN
iajs-1954	54	2	.	.	PUNCT
iajs-1954	54	3	vol	vol	NOUN
iajs-1954	54	4	.	.	PROPN
iajs-1954	55	1	31	31	NUM
iajs-1954	55	2	(	(	PUNCT
iajs-1954	55	3	2	2	NUM
iajs-1954	55	4	)	)	PUNCT
iajs-1954	55	5	2018	2018	NUM
iajs-1954	55	6	and	and	CCONJ
iajs-1954	55	7	equivalent	equivalent	ADJ
iajs-1954	55	8	to	to	ADP
iajs-1954	55	9	(	(	PUNCT
iajs-1954	55	10	)	)	PUNCT
iajs-1954	55	11	(	(	PUNCT
iajs-1954	55	12	)	)	PUNCT
iajs-1954	55	13	(	(	PUNCT
iajs-1954	55	14	)	)	PUNCT
iajs-1954	55	15	definition	definition	NOUN
iajs-1954	55	16	3	3	NUM
iajs-1954	55	17	(	(	PUNCT
iajs-1954	55	18	jump	jump	NOUN
iajs-1954	55	19	discontinuity	discontinuity	NOUN
iajs-1954	55	20	)	)	PUNCT
iajs-1954	56	1	if	if	SCONJ
iajs-1954	56	2	f(t0	f(t0	NOUN
iajs-1954	56	3	+	+	NOUN
iajs-1954	56	4	)	)	PUNCT
iajs-1954	56	5			NOUN
iajs-1954	56	6	(	(	PUNCT
iajs-1954	56	7	)	)	PUNCT
iajs-1954	56	8	then	then	ADV
iajs-1954	56	9	we	we	PRON
iajs-1954	56	10	say	say	VERB
iajs-1954	56	11	that	that	SCONJ
iajs-1954	56	12	f	f	PROPN
iajs-1954	56	13	has	have	VERB
iajs-1954	56	14	a	a	DET
iajs-1954	56	15	jump	jump	NOUN
iajs-1954	56	16	discontinuity	discontinuity	NOUN
iajs-1954	56	17	at	at	ADP
iajs-1954	56	18	t0	t0	PROPN
iajs-1954	56	19	,	,	PUNCT
iajs-1954	56	20	and	and	CCONJ
iajs-1954	56	21	the	the	DET
iajs-1954	56	22	value	value	NOUN
iajs-1954	56	23	f(t0	f(t0	NOUN
iajs-1954	56	24	+	+	NOUN
iajs-1954	56	25	)	)	PUNCT
iajs-1954	56	26	(	(	PUNCT
iajs-1954	56	27	)	)	PUNCT
iajs-1954	56	28	is	be	AUX
iajs-1954	56	29	called	call	VERB
iajs-1954	56	30	the	the	DET
iajs-1954	56	31	jump	jump	NOUN
iajs-1954	56	32	in	in	ADP
iajs-1954	56	33	f	f	PROPN
iajs-1954	56	34	at	at	ADP
iajs-1954	56	35	t0	t0	PROPN
iajs-1954	56	36	.	.	PUNCT
iajs-1954	57	1	definition	definition	NOUN
iajs-1954	57	2	4	4	NUM
iajs-1954	57	3	(	(	PUNCT
iajs-1954	57	4	removable	removable	ADJ
iajs-1954	57	5	discontinuity	discontinuity	NOUN
iajs-1954	57	6	)	)	PUNCT
iajs-1954	57	7	if	if	SCONJ
iajs-1954	57	8	the	the	DET
iajs-1954	57	9	limit	limit	NOUN
iajs-1954	57	10	of	of	ADP
iajs-1954	57	11	a	a	DET
iajs-1954	57	12	function	function	NOUN
iajs-1954	57	13	f	f	NOUN
iajs-1954	57	14	at	at	ADP
iajs-1954	57	15	a	a	DET
iajs-1954	57	16	point	point	NOUN
iajs-1954	57	17	t0exists	t0exist	NOUN
iajs-1954	57	18	,	,	PUNCT
iajs-1954	57	19	but	but	CCONJ
iajs-1954	57	20	either	either	CCONJ
iajs-1954	57	21	f	f	PROPN
iajs-1954	57	22	is	be	AUX
iajs-1954	57	23	not	not	PART
iajs-1954	57	24	defined	define	VERB
iajs-1954	57	25	at	at	ADP
iajs-1954	57	26	t0	t0	PROPN
iajs-1954	57	27	or	or	CCONJ
iajs-1954	57	28	it	it	PRON
iajs-1954	57	29	's	be	AUX
iajs-1954	57	30	defined	define	VERB
iajs-1954	57	31	but	but	CCONJ
iajs-1954	57	32	(	(	PUNCT
iajs-1954	57	33	)	)	PUNCT
iajs-1954	57	34	(	(	PUNCT
iajs-1954	57	35	)	)	PUNCT
iajs-1954	57	36	then	then	ADV
iajs-1954	57	37	,	,	PUNCT
iajs-1954	57	38	we	we	PRON
iajs-1954	57	39	say	say	VERB
iajs-1954	57	40	that	that	SCONJ
iajs-1954	57	41	f	f	PROPN
iajs-1954	57	42	has	have	VERB
iajs-1954	57	43	a	a	DET
iajs-1954	57	44	removable	removable	ADJ
iajs-1954	57	45	discontinuity	discontinuity	NOUN
iajs-1954	57	46	at	at	ADP
iajs-1954	57	47	t0	t0	NOUN
iajs-1954	57	48	.	.	PUNCT
iajs-1954	58	1	definition	definition	NOUN
iajs-1954	58	2	5	5	NUM
iajs-1954	58	3	(	(	PUNCT
iajs-1954	58	4	piecewise	piecewise	NOUN
iajs-1954	58	5	continuous	continuous	ADJ
iajs-1954	58	6	)	)	PUNCT
iajs-1954	58	7			NOUN
iajs-1954	59	1	a	a	DET
iajs-1954	59	2	function	function	NOUN
iajs-1954	59	3	f	f	PROPN
iajs-1954	59	4	is	be	AUX
iajs-1954	59	5	said	say	VERB
iajs-1954	59	6	to	to	PART
iajs-1954	59	7	be	be	AUX
iajs-1954	59	8	piecewise	piecewise	NOUN
iajs-1954	59	9	continuous	continuous	ADJ
iajs-1954	59	10	on	on	ADP
iajs-1954	59	11	a	a	DET
iajs-1954	59	12	closed	closed	ADJ
iajs-1954	59	13	interval	interval	NOUN
iajs-1954	59	14	[	[	X
iajs-1954	59	15	0,t]if	0,t]if	NUM
iajs-1954	59	16	f(0	f(0	NOUN
iajs-1954	59	17	+	+	NOUN
iajs-1954	59	18	)	)	PUNCT
iajs-1954	59	19	and	and	CCONJ
iajs-1954	59	20	f(t	f(t	PROPN
iajs-1954	59	21	)	)	PUNCT
iajs-1954	59	22	are	be	AUX
iajs-1954	59	23	finite	finite	ADJ
iajs-1954	59	24	and	and	CCONJ
iajs-1954	59	25	f	f	PROPN
iajs-1954	59	26	is	be	AUX
iajs-1954	59	27	continuous	continuous	ADJ
iajs-1954	59	28	on	on	ADP
iajs-1954	59	29	the	the	DET
iajs-1954	59	30	open	open	ADJ
iajs-1954	59	31	interval	interval	NOUN
iajs-1954	59	32	(	(	PUNCT
iajs-1954	59	33	0,t	0,t	PROPN
iajs-1954	59	34	)	)	PUNCT
iajs-1954	59	35	except	except	SCONJ
iajs-1954	59	36	possibly	possibly	ADV
iajs-1954	59	37	at	at	ADP
iajs-1954	59	38	finitely	finitely	ADJ
iajs-1954	59	39	manypoints	manypoint	NOUN
iajs-1954	59	40	,	,	PUNCT
iajs-1954	59	41	where	where	SCONJ
iajs-1954	59	42	f	f	PROPN
iajs-1954	59	43	may	may	AUX
iajs-1954	59	44	have	have	AUX
iajs-1954	59	45	jump	jump	VERB
iajs-1954	59	46	discontinuities	discontinuity	NOUN
iajs-1954	59	47	or	or	CCONJ
iajs-1954	59	48	removable	removable	ADJ
iajs-1954	59	49	discontinuities	discontinuity	NOUN
iajs-1954	59	50	.	.	PUNCT
iajs-1954	60	1			X
iajs-1954	60	2	a	a	DET
iajs-1954	60	3	function	function	NOUN
iajs-1954	60	4	f	f	PROPN
iajs-1954	60	5	is	be	AUX
iajs-1954	60	6	said	say	VERB
iajs-1954	60	7	to	to	PART
iajs-1954	60	8	be	be	AUX
iajs-1954	60	9	piecewise	piecewise	NOUN
iajs-1954	60	10	continuous	continuous	ADJ
iajs-1954	60	11	on	on	ADP
iajs-1954	60	12	the	the	DET
iajs-1954	60	13	interval	interval	NOUN
iajs-1954	60	14	[	[	X
iajs-1954	60	15	0,	0,	NOUN
iajs-1954	60	16	)	)	PUNCT
iajs-1954	60	17	if	if	SCONJ
iajs-1954	60	18	it	it	PRON
iajs-1954	60	19	’s	’	VERB
iajs-1954	60	20	piecewisecontinuous	piecewisecontinuous	ADJ
iajs-1954	60	21	on	on	ADP
iajs-1954	60	22	[	[	X
iajs-1954	60	23	0,t	0,t	X
iajs-1954	60	24	]	]	PUNCT
iajs-1954	60	25	for	for	ADP
iajs-1954	60	26	every	every	DET
iajs-1954	60	27	t	t	PROPN
iajs-1954	60	28	>	>	X
iajs-1954	60	29	0	0	X
iajs-1954	60	30	.	.	PUNCT
iajs-1954	61	1	definition	definition	NOUN
iajs-1954	61	2	6(functions	6(function	NOUN
iajs-1954	61	3	of	of	ADP
iajs-1954	61	4	exponential	exponential	ADJ
iajs-1954	61	5	order	order	NOUN
iajs-1954	61	6	)	)	PUNCT
iajs-1954	61	7	a	a	DET
iajs-1954	61	8	function	function	NOUN
iajs-1954	61	9	f	f	PROPN
iajs-1954	61	10	is	be	AUX
iajs-1954	61	11	said	say	VERB
iajs-1954	61	12	to	to	PART
iajs-1954	61	13	be	be	AUX
iajs-1954	61	14	of	of	ADP
iajs-1954	61	15	exponential	exponential	ADJ
iajs-1954	61	16	order	order	NOUN
iajs-1954	61	17	s0	s0	NOUN
iajs-1954	61	18	if	if	SCONJ
iajs-1954	61	19	there	there	PRON
iajs-1954	61	20	exist	exist	VERB
iajs-1954	61	21	constants	constant	NOUN
iajs-1954	61	22	m	m	VERB
iajs-1954	61	23	such	such	ADJ
iajs-1954	61	24	that	that	SCONJ
iajs-1954	61	25	:	:	PUNCT
iajs-1954	61	26	|	|	INTJ
iajs-1954	61	27	(	(	PUNCT
iajs-1954	61	28	)	)	PUNCT
iajs-1954	61	29	|	|	ADV
iajs-1954	61	30	,	,	PUNCT
iajs-1954	61	31	)	)	PUNCT
iajs-1954	61	32	theorem	theorem	VERB
iajs-1954	61	33	1(sufficient	1(sufficient	NUM
iajs-1954	61	34	conditions	condition	NOUN
iajs-1954	61	35	)	)	PUNCT
iajs-1954	61	36	.	.	PUNCT
iajs-1954	62	1	if	if	SCONJ
iajs-1954	62	2	a	a	DET
iajs-1954	62	3	function	function	NOUN
iajs-1954	62	4	f	f	PROPN
iajs-1954	62	5	is	be	AUX
iajs-1954	62	6	piecewise	piecewise	NOUN
iajs-1954	62	7	continuous	continuous	ADJ
iajs-1954	62	8	on[0,)and	on[0,)and	NOUN
iajs-1954	62	9	of	of	ADP
iajs-1954	62	10	exponential	exponential	ADJ
iajs-1954	62	11	order	order	NOUN
iajs-1954	62	12	s0	s0	NOUN
iajs-1954	62	13	,	,	PUNCT
iajs-1954	62	14	then	then	ADV
iajs-1954	62	15	the	the	DET
iajs-1954	62	16	transform	transform	NOUN
iajs-1954	62	17	of	of	ADP
iajs-1954	62	18	f	f	PROPN
iajs-1954	62	19	exists	exist	VERB
iajs-1954	62	20	for	for	ADP
iajs-1954	62	21	all	all	DET
iajs-1954	62	22	u	u	PROPN
iajs-1954	62	23	>	>	X
iajs-1954	62	24	s0	s0	PROPN
iajs-1954	62	25	.	.	PUNCT
iajs-1954	63	1	proof	proof	NOUN
iajs-1954	63	2	to	to	PART
iajs-1954	63	3	proof	proof	VERB
iajs-1954	63	4	the	the	DET
iajs-1954	63	5	existences	existence	NOUN
iajs-1954	63	6	of	of	ADP
iajs-1954	63	7	the	the	DET
iajs-1954	63	8	transform	transform	NOUN
iajs-1954	63	9	of	of	ADP
iajs-1954	63	10	f	f	AUX
iajs-1954	63	11	,	,	PUNCT
iajs-1954	63	12	we	we	PRON
iajs-1954	63	13	must	must	AUX
iajs-1954	63	14	show	show	VERB
iajs-1954	63	15	(	(	PUNCT
iajs-1954	63	16	̅	̅	NOUN
iajs-1954	63	17	)	)	PUNCT
iajs-1954	63	18	is	be	AUX
iajs-1954	63	19	well	well	ADV
iajs-1954	63	20	-	-	PUNCT
iajs-1954	63	21	defined	define	VERB
iajs-1954	63	22	,	,	PUNCT
iajs-1954	63	23	that	that	ADV
iajs-1954	63	24	is	is	ADV
iajs-1954	63	25	,	,	PUNCT
iajs-1954	63	26	finite	finite	PROPN
iajs-1954	63	27	,	,	PUNCT
iajs-1954	63	28	by	by	ADP
iajs-1954	63	29	bounding	bound	VERB
iajs-1954	63	30	its	its	PRON
iajs-1954	63	31	absolute	absolute	ADJ
iajs-1954	63	32	value	value	NOUN
iajs-1954	63	33	by	by	ADP
iajs-1954	63	34	a	a	DET
iajs-1954	63	35	finite	finite	ADJ
iajs-1954	63	36	number	number	NOUN
iajs-1954	63	37	.	.	PUNCT
iajs-1954	64	1	|	|	ADV
iajs-1954	64	2	(	(	PUNCT
iajs-1954	64	3	̅	̅	NOUN
iajs-1954	64	4	)	)	PUNCT
iajs-1954	65	1	|	|	ADV
iajs-1954	65	2	|∫	|∫	NOUN
iajs-1954	65	3	(	(	PUNCT
iajs-1954	65	4	)	)	PUNCT
iajs-1954	65	5	|	|	ADV
iajs-1954	66	1	|	|	ADV
iajs-1954	66	2	∫	∫	INTJ
iajs-1954	66	3	(	(	PUNCT
iajs-1954	66	4	)	)	PUNCT
iajs-1954	66	5	|	|	ADV
iajs-1954	66	6	(	(	PUNCT
iajs-1954	66	7	)	)	PUNCT
iajs-1954	66	8	we	we	PRON
iajs-1954	66	9	got	get	VERB
iajs-1954	66	10	(	(	PUNCT
iajs-1954	66	11	4	4	NUM
iajs-1954	66	12	)	)	PUNCT
iajs-1954	66	13	by	by	ADP
iajs-1954	66	14	putting	put	VERB
iajs-1954	66	15	x=	x=	PROPN
iajs-1954	66	16	.	.	PUNCT
iajs-1954	67	1	since	since	SCONJ
iajs-1954	67	2	fof	fof	ADJ
iajs-1954	67	3	exponential	exponential	ADJ
iajs-1954	67	4	order	order	NOUN
iajs-1954	67	5	s0	s0	NOUN
iajs-1954	67	6	,	,	PUNCT
iajs-1954	67	7	then	then	ADV
iajs-1954	67	8	there	there	PRON
iajs-1954	67	9	exist	exist	VERB
iajs-1954	67	10	m	m	PROPN
iajs-1954	67	11	>	>	X
iajs-1954	67	12	0	0	NUM
iajs-1954	68	1	such	such	ADJ
iajs-1954	68	2	that	that	SCONJ
iajs-1954	68	3	|	|	NOUN
iajs-1954	68	4	(	(	PUNCT
iajs-1954	68	5	)	)	PUNCT
iajs-1954	68	6	|	|	ADV
iajs-1954	68	7	,	,	PUNCT
iajs-1954	68	8	)	)	PUNCT
iajs-1954	68	9	,	,	PUNCT
iajs-1954	68	10	then	then	ADV
iajs-1954	68	11	(	(	PUNCT
iajs-1954	68	12	4	4	X
iajs-1954	68	13	)	)	PUNCT
iajs-1954	68	14	becomes	become	VERB
iajs-1954	68	15	|	|	ADV
iajs-1954	68	16	∫	∫	PROPN
iajs-1954	68	17	(	(	PUNCT
iajs-1954	68	18	)	)	PUNCT
iajs-1954	69	1	|	|	ADV
iajs-1954	69	2	∫	∫	INTJ
iajs-1954	69	3	|	|	INTJ
iajs-1954	69	4	(	(	PUNCT
iajs-1954	69	5	)	)	PUNCT
iajs-1954	69	6	|	|	ADV
iajs-1954	69	7	|	|	ADV
iajs-1954	69	8	|∫	|∫	ADV
iajs-1954	70	1	|	|	ADV
iajs-1954	70	2	|	|	ADV
iajs-1954	70	3	∫	∫	INTJ
iajs-1954	70	4	(	(	PUNCT
iajs-1954	70	5	)	)	PUNCT
iajs-1954	71	1	|	|	ADV
iajs-1954	71	2	|	|	ADV
iajs-1954	71	3	then	then	ADV
iajs-1954	71	4	by	by	ADP
iajs-1954	71	5	lemma(1),the	lemma(1),the	DET
iajs-1954	71	6	condition	condition	NOUN
iajs-1954	71	7	to	to	ADP
iajs-1954	71	8	this	this	DET
iajs-1954	71	9	result	result	NOUN
iajs-1954	71	10	is	be	AUX
iajs-1954	71	11	u	u	NOUN
iajs-1954	71	12	-	-	NOUN
iajs-1954	71	13	s0>0	s0>0	ADJ
iajs-1954	71	14	,	,	PUNCT
iajs-1954	71	15	this	this	PRON
iajs-1954	71	16	implies	imply	VERB
iajs-1954	71	17	u	u	NOUN
iajs-1954	71	18	>	>	X
iajs-1954	71	19	s0	s0	PROPN
iajs-1954	71	20	.	.	PUNCT
iajs-1954	72	1	then	then	ADV
iajs-1954	72	2	we	we	PRON
iajs-1954	72	3	have	have	VERB
iajs-1954	72	4	that	that	PRON
iajs-1954	72	5	|	|	NOUN
iajs-1954	72	6	(	(	PUNCT
iajs-1954	72	7	̅	̅	NOUN
iajs-1954	72	8	)	)	PUNCT
iajs-1954	73	1	|	|	ADV
iajs-1954	74	1	|	|	ADV
iajs-1954	74	2	|	|	ADV
iajs-1954	74	3	the	the	DET
iajs-1954	74	4	general	general	ADJ
iajs-1954	74	5	properties	property	NOUN
iajs-1954	74	6	of	of	ADP
iajs-1954	74	7	the	the	DET
iajs-1954	74	8	new	new	ADJ
iajs-1954	74	9	transform	transform	NOUN
iajs-1954	74	10	.	.	PUNCT
iajs-1954	75	1	theorem	theorem	VERB
iajs-1954	75	2	2(linear	2(linear	NUM
iajs-1954	75	3	combination	combination	NOUN
iajs-1954	75	4	)	)	PUNCT
iajs-1954	75	5	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	ADP
iajs-1954	75	6	mathmatics	mathmatic	NOUN
iajs-1954	75	7	|	|	ADV
iajs-1954	75	8	156	156	NUM
iajs-1954	75	9	2018	2018	NUM
iajs-1954	75	10	(	(	PUNCT
iajs-1954	75	11	عام	عام	ADP
iajs-1954	75	12	2العدد	2العدد	NUM
iajs-1954	75	13	)	)	PUNCT
iajs-1954	75	14	31المجلد	31المجلد	NUM
iajs-1954	76	1	مجلة	مجلة	VERB
iajs-1954	76	2	إبن	إبن	VERB
iajs-1954	76	3	الهيثم	الهيثم	ADJ
iajs-1954	76	4	للعلوم	للعلوم	NOUN
iajs-1954	76	5	الصرفة	الصرفة	NOUN
iajs-1954	77	1	و	و	PRON
iajs-1954	77	2	التطبيقية	التطبيقية	ADJ
iajs-1954	77	3	ibn	ibn	PROPN
iajs-1954	77	4	al	al	PROPN
iajs-1954	77	5	-	-	PUNCT
iajs-1954	77	6	haitham	haitham	PROPN
iajs-1954	77	7	jour	jour	X
iajs-1954	77	8	.	.	PROPN
iajs-1954	77	9	for	for	ADP
iajs-1954	77	10	pure	pure	ADJ
iajs-1954	77	11	&	&	CCONJ
iajs-1954	77	12	appl	appl	PROPN
iajs-1954	77	13	.	.	PUNCT
iajs-1954	78	1	sci	sci	PROPN
iajs-1954	78	2	.	.	PUNCT
iajs-1954	78	3	vol	vol	NOUN
iajs-1954	78	4	.	.	PROPN
iajs-1954	79	1	31	31	NUM
iajs-1954	79	2	(	(	PUNCT
iajs-1954	79	3	2	2	NUM
iajs-1954	79	4	)	)	PUNCT
iajs-1954	79	5	2018	2018	NUM
iajs-1954	79	6	if	if	SCONJ
iajs-1954	79	7	the	the	PRON
iajs-1954	79	8	transforms	transform	VERB
iajs-1954	79	9	*	*	PUNCT
iajs-1954	80	1	+	+	PUNCT
iajs-1954	80	2	and	and	CCONJ
iajs-1954	80	3	*	*	PUNCT
iajs-1954	80	4	+	+	NUM
iajs-1954	80	5	of	of	ADP
iajs-1954	80	6	thefunctions	thefunction	NOUN
iajs-1954	80	7	f	f	NOUN
iajs-1954	80	8	and	and	CCONJ
iajs-1954	80	9	g	g	PROPN
iajs-1954	80	10	are	be	AUX
iajs-1954	80	11	well	well	ADV
iajs-1954	80	12	-	-	PUNCT
iajs-1954	80	13	defined	define	VERB
iajs-1954	80	14	and	and	CCONJ
iajs-1954	80	15	a	a	DET
iajs-1954	80	16	,	,	PUNCT
iajs-1954	80	17	b	b	NOUN
iajs-1954	80	18	are	be	AUX
iajs-1954	80	19	constants	constant	NOUN
iajs-1954	80	20	,	,	PUNCT
iajs-1954	80	21	then	then	ADV
iajs-1954	80	22	the	the	DET
iajs-1954	80	23	following	follow	VERB
iajs-1954	80	24	equation	equation	NOUN
iajs-1954	80	25	holds	hold	VERB
iajs-1954	80	26	:	:	PUNCT
iajs-1954	80	27	*	*	PUNCT
iajs-1954	80	28	(	(	PUNCT
iajs-1954	80	29	)	)	PUNCT
iajs-1954	80	30	(	(	PUNCT
iajs-1954	80	31	)	)	PUNCT
iajs-1954	81	1	+	+	NUM
iajs-1954	81	2	*	*	PUNCT
iajs-1954	81	3	(	(	PUNCT
iajs-1954	81	4	)	)	PUNCT
iajs-1954	81	5	+	+	NUM
iajs-1954	81	6	*	*	PUNCT
iajs-1954	81	7	(	(	PUNCT
iajs-1954	81	8	)	)	PUNCT
iajs-1954	81	9	+	+	NUM
iajs-1954	81	10	proof	proof	NOUN
iajs-1954	81	11	*	*	PUNCT
iajs-1954	81	12	(	(	PUNCT
iajs-1954	81	13	)	)	PUNCT
iajs-1954	81	14	(	(	PUNCT
iajs-1954	81	15	)	)	PUNCT
iajs-1954	81	16	+	+	NUM
iajs-1954	81	17	∫	∫	PROPN
iajs-1954	81	18	(	(	PUNCT
iajs-1954	81	19	(	(	PUNCT
iajs-1954	81	20	)	)	PUNCT
iajs-1954	81	21	(	(	PUNCT
iajs-1954	81	22	)	)	PUNCT
iajs-1954	81	23	)	)	PUNCT
iajs-1954	81	24	∫	∫	PROPN
iajs-1954	81	25	(	(	PUNCT
iajs-1954	81	26	)	)	PUNCT
iajs-1954	81	27	∫	∫	PROPN
iajs-1954	81	28	(	(	PUNCT
iajs-1954	81	29	)	)	PUNCT
iajs-1954	81	30	∫	∫	PROPN
iajs-1954	81	31	(	(	PUNCT
iajs-1954	81	32	)	)	PUNCT
iajs-1954	81	33	∫	∫	PROPN
iajs-1954	81	34	(	(	PUNCT
iajs-1954	81	35	)	)	PUNCT
iajs-1954	81	36	*	*	PUNCT
iajs-1954	81	37	(	(	PUNCT
iajs-1954	81	38	)	)	PUNCT
iajs-1954	81	39	+	+	NUM
iajs-1954	81	40	*	*	PUNCT
iajs-1954	81	41	(	(	PUNCT
iajs-1954	81	42	)	)	PUNCT
iajs-1954	81	43	+	+	CCONJ
iajs-1954	81	44	theorem	theorem	NOUN
iajs-1954	81	45	3	3	NUM
iajs-1954	81	46	if	if	SCONJ
iajs-1954	81	47	the	the	DET
iajs-1954	81	48	functions	function	NOUN
iajs-1954	81	49	*	*	PUNCT
iajs-1954	82	1	+	+	PUNCT
iajs-1954	82	2	and	and	CCONJ
iajs-1954	82	3	*	*	PUNCT
iajs-1954	82	4	+	+	CCONJ
iajs-1954	82	5	are	be	AUX
iajs-1954	82	6	well	well	ADV
iajs-1954	82	7	-	-	PUNCT
iajs-1954	82	8	defined	define	VERB
iajs-1954	82	9	then	then	ADV
iajs-1954	82	10	:	:	PUNCT
iajs-1954	82	11	*	*	PUNCT
iajs-1954	83	1	+	+	PUNCT
iajs-1954	83	2	(	(	PUNCT
iajs-1954	83	3	*	*	PUNCT
iajs-1954	83	4	+	+	ADJ
iajs-1954	83	5	)	)	PUNCT
iajs-1954	83	6	proof	proof	NOUN
iajs-1954	83	7	*	*	PUNCT
iajs-1954	83	8	+	+	NUM
iajs-1954	83	9	∫	∫	PROPN
iajs-1954	83	10	(	(	PUNCT
iajs-1954	83	11	)	)	PUNCT
iajs-1954	83	12	(	(	PUNCT
iajs-1954	83	13	)	)	PUNCT
iajs-1954	83	14	using	use	VERB
iajs-1954	83	15	the	the	DET
iajs-1954	83	16	integral	integral	ADJ
iajs-1954	83	17	by	by	ADP
iajs-1954	83	18	part	part	NOUN
iajs-1954	83	19	we	we	PRON
iajs-1954	83	20	have	have	VERB
iajs-1954	83	21	*	*	PUNCT
iajs-1954	83	22	+	+	PUNCT
iajs-1954	83	23	(	(	PUNCT
iajs-1954	83	24	)	)	PUNCT
iajs-1954	83	25	|	|	ADV
iajs-1954	83	26	∫	∫	INTJ
iajs-1954	83	27	[	[	PUNCT
iajs-1954	83	28	(	(	PUNCT
iajs-1954	83	29	)	)	PUNCT
iajs-1954	83	30	(	(	PUNCT
iajs-1954	83	31	)	)	PUNCT
iajs-1954	83	32	]	]	PUNCT
iajs-1954	83	33	∫	∫	PROPN
iajs-1954	83	34	*	*	PUNCT
iajs-1954	83	35	(	(	PUNCT
iajs-1954	83	36	(	(	PUNCT
iajs-1954	83	37	)	)	PUNCT
iajs-1954	83	38	)	)	PUNCT
iajs-1954	84	1	+	+	PUNCT
iajs-1954	84	2	[	[	PUNCT
iajs-1954	84	3	∫	∫	X
iajs-1954	84	4	(	(	PUNCT
iajs-1954	84	5	)	)	PUNCT
iajs-1954	84	6	]	]	PUNCT
iajs-1954	85	1	[	[	PUNCT
iajs-1954	85	2	*	*	PUNCT
iajs-1954	85	3	+	+	ADP
iajs-1954	85	4	]	]	X
iajs-1954	85	5	*	*	PUNCT
iajs-1954	85	6	+	+	PUNCT
iajs-1954	85	7	(	(	PUNCT
iajs-1954	85	8	*	*	PUNCT
iajs-1954	85	9	+	+	ADJ
iajs-1954	85	10	)	)	PUNCT
iajs-1954	85	11	corollary	corollary	ADJ
iajs-1954	85	12	1	1	NUM
iajs-1954	85	13	if	if	SCONJ
iajs-1954	85	14	the	the	DET
iajs-1954	85	15	functions	function	NOUN
iajs-1954	85	16	*	*	PUNCT
iajs-1954	85	17	+	+	PUNCT
iajs-1954	85	18	and	and	CCONJ
iajs-1954	85	19	*	*	PUNCT
iajs-1954	85	20	+	+	CCONJ
iajs-1954	85	21	are	be	AUX
iajs-1954	85	22	well	well	ADV
iajs-1954	85	23	-	-	PUNCT
iajs-1954	85	24	defined	define	VERB
iajs-1954	85	25	then	then	ADV
iajs-1954	85	26	:	:	PUNCT
iajs-1954	85	27	*	*	PUNCT
iajs-1954	85	28	+	+	PUNCT
iajs-1954	85	29	(	(	PUNCT
iajs-1954	85	30	)	)	PUNCT
iajs-1954	85	31	(	(	PUNCT
iajs-1954	85	32	*	*	PUNCT
iajs-1954	85	33	+	+	ADJ
iajs-1954	85	34	)	)	PUNCT
iajs-1954	85	35	proof	proof	NOUN
iajs-1954	85	36	the	the	DET
iajs-1954	85	37	proof	proof	NOUN
iajs-1954	85	38	is	be	AUX
iajs-1954	85	39	clear	clear	ADJ
iajs-1954	85	40	by	by	ADP
iajs-1954	85	41	using	use	VERB
iajs-1954	85	42	the	the	DET
iajs-1954	85	43	mathematical	mathematical	ADJ
iajs-1954	85	44	induction	induction	NOUN
iajs-1954	85	45	.	.	PUNCT
iajs-1954	86	1	theorem	theorem	ADJ
iajs-1954	86	2	4(shift	4(shift	NOUN
iajs-1954	86	3	)	)	PUNCT
iajs-1954	86	4	if	if	SCONJ
iajs-1954	86	5	the	the	DET
iajs-1954	86	6	functions	function	NOUN
iajs-1954	86	7	(	(	PUNCT
iajs-1954	86	8	̅	̅	NOUN
iajs-1954	86	9	)	)	PUNCT
iajs-1954	86	10	*	*	PUNCT
iajs-1954	87	1	+	+	PUNCT
iajs-1954	87	2	is	be	AUX
iajs-1954	87	3	the	the	DET
iajs-1954	87	4	transform	transform	NOUN
iajs-1954	87	5	of	of	ADP
iajs-1954	87	6	the	the	DET
iajs-1954	87	7	function	function	NOUN
iajs-1954	87	8	f(t	f(t	PROPN
iajs-1954	87	9	)	)	PUNCT
iajs-1954	87	10	then	then	ADV
iajs-1954	87	11	:	:	PUNCT
iajs-1954	87	12	*	*	PUNCT
iajs-1954	87	13	+	+	PUNCT
iajs-1954	87	14	(	(	PUNCT
iajs-1954	87	15	̅	̅	NOUN
iajs-1954	87	16	)	)	PUNCT
iajs-1954	87	17	proof	proof	NOUN
iajs-1954	87	18	*	*	PUNCT
iajs-1954	87	19	+	+	NUM
iajs-1954	87	20	∫	∫	PROPN
iajs-1954	87	21	(	(	PUNCT
iajs-1954	87	22	)	)	PUNCT
iajs-1954	87	23	∫	∫	PROPN
iajs-1954	87	24	(	(	PUNCT
iajs-1954	87	25	)	)	PUNCT
iajs-1954	87	26	(	(	PUNCT
iajs-1954	87	27	)	)	PUNCT
iajs-1954	87	28	(	(	PUNCT
iajs-1954	87	29	)	)	PUNCT
iajs-1954	87	30	if	if	SCONJ
iajs-1954	87	31	we	we	PRON
iajs-1954	87	32	set	set	VERB
iajs-1954	87	33	x=(1	x=(1	PROPN
iajs-1954	87	34	)	)	PUNCT
iajs-1954	87	35	tthen	tthen	PROPN
iajs-1954	87	36	(	(	PUNCT
iajs-1954	87	37	t	t	NOUN
iajs-1954	87	38	=	=	SYM
iajs-1954	87	39	and	and	CCONJ
iajs-1954	87	40	dt=	dt=	PROPN
iajs-1954	87	41	)	)	PUNCT
iajs-1954	87	42	,	,	PUNCT
iajs-1954	87	43	substituted	substitute	VERB
iajs-1954	87	44	it	it	PRON
iajs-1954	87	45	in	in	ADP
iajs-1954	87	46	(	(	PUNCT
iajs-1954	87	47	5	5	X
iajs-1954	87	48	)	)	PUNCT
iajs-1954	87	49	we	we	PRON
iajs-1954	87	50	have	have	VERB
iajs-1954	87	51	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	PUNCT
iajs-1954	87	52	mathmatics	mathmatic	NOUN
iajs-1954	87	53	|	|	ADV
iajs-1954	87	54	157	157	NUM
iajs-1954	87	55	2018	2018	NUM
iajs-1954	87	56	(	(	PUNCT
iajs-1954	87	57	عام	عام	ADP
iajs-1954	87	58	2العدد	2العدد	NUM
iajs-1954	87	59	)	)	PUNCT
iajs-1954	87	60	31المجلد	31المجلد	NUM
iajs-1954	88	1	مجلة	مجلة	VERB
iajs-1954	88	2	إبن	إبن	VERB
iajs-1954	88	3	الهيثم	الهيثم	ADJ
iajs-1954	88	4	للعلوم	للعلوم	NOUN
iajs-1954	88	5	الصرفة	الصرفة	NOUN
iajs-1954	89	1	و	و	PRON
iajs-1954	89	2	التطبيقية	التطبيقية	ADJ
iajs-1954	89	3	ibn	ibn	PROPN
iajs-1954	89	4	al	al	PROPN
iajs-1954	89	5	-	-	PUNCT
iajs-1954	89	6	haitham	haitham	PROPN
iajs-1954	89	7	jour	jour	X
iajs-1954	89	8	.	.	PROPN
iajs-1954	89	9	for	for	ADP
iajs-1954	89	10	pure	pure	ADJ
iajs-1954	89	11	&	&	CCONJ
iajs-1954	89	12	appl	appl	PROPN
iajs-1954	89	13	.	.	PUNCT
iajs-1954	90	1	sci	sci	PROPN
iajs-1954	90	2	.	.	PUNCT
iajs-1954	90	3	vol	vol	NOUN
iajs-1954	90	4	.	.	PROPN
iajs-1954	91	1	31	31	NUM
iajs-1954	91	2	(	(	PUNCT
iajs-1954	91	3	2	2	NUM
iajs-1954	91	4	)	)	PUNCT
iajs-1954	91	5	2018	2018	NUM
iajs-1954	91	6	*	*	PUNCT
iajs-1954	92	1	+	+	NUM
iajs-1954	92	2	∫	∫	PROPN
iajs-1954	92	3	.	.	PUNCT
iajs-1954	92	4	/	/	PUNCT
iajs-1954	92	5	(	(	PUNCT
iajs-1954	92	6	̅	̅	NOUN
iajs-1954	92	7	)	)	PUNCT
iajs-1954	92	8	the	the	DET
iajs-1954	92	9	convolution	convolution	NOUN
iajs-1954	92	10	of	of	ADP
iajs-1954	92	11	two	two	NUM
iajs-1954	92	12	functions	function	NOUN
iajs-1954	92	13	definition7	definition7	NOUN
iajs-1954	92	14	assume	assume	VERB
iajs-1954	92	15	that	that	SCONJ
iajs-1954	92	16	f	f	PROPN
iajs-1954	92	17	and	and	CCONJ
iajs-1954	92	18	g	g	PROPN
iajs-1954	92	19	are	be	AUX
iajs-1954	92	20	piecewise	piecewise	NOUN
iajs-1954	92	21	continuous	continuous	ADJ
iajs-1954	92	22	functions	function	NOUN
iajs-1954	92	23	,	,	PUNCT
iajs-1954	92	24	or	or	CCONJ
iajs-1954	92	25	one	one	NUM
iajs-1954	92	26	of	of	ADP
iajs-1954	92	27	them	they	PRON
iajs-1954	92	28	is	be	AUX
iajs-1954	92	29	a	a	DET
iajs-1954	92	30	dirac	dirac	NOUN
iajs-1954	92	31	's	's	PART
iajs-1954	92	32	delta	delta	NOUN
iajs-1954	92	33	generalized	generalized	ADJ
iajs-1954	92	34	function	function	NOUN
iajs-1954	92	35	.	.	PUNCT
iajs-1954	93	1	the	the	DET
iajs-1954	93	2	convolution	convolution	NOUN
iajs-1954	93	3	of	of	ADP
iajs-1954	93	4	f	f	PROPN
iajs-1954	93	5	and	and	CCONJ
iajs-1954	93	6	g	g	PROPN
iajs-1954	93	7	is	be	AUX
iajs-1954	93	8	a	a	DET
iajs-1954	93	9	function	function	NOUN
iajs-1954	93	10	denotedby	denotedby	NOUN
iajs-1954	93	11	f	f	PROPN
iajs-1954	93	12	*	*	PUNCT
iajs-1954	93	13	g	g	NOUN
iajs-1954	93	14	and	and	CCONJ
iajs-1954	93	15	given	give	VERB
iajs-1954	93	16	by	by	ADP
iajs-1954	93	17	the	the	DET
iajs-1954	93	18	following	follow	VERB
iajs-1954	93	19	expression	expression	NOUN
iajs-1954	93	20	.	.	PUNCT
iajs-1954	94	1	(	(	PUNCT
iajs-1954	94	2	)	)	PUNCT
iajs-1954	94	3	(	(	PUNCT
iajs-1954	94	4	)	)	PUNCT
iajs-1954	94	5	∫	∫	PROPN
iajs-1954	94	6	(	(	PUNCT
iajs-1954	94	7	)	)	PUNCT
iajs-1954	94	8	(	(	PUNCT
iajs-1954	94	9	)	)	PUNCT
iajs-1954	94	10	(	(	PUNCT
iajs-1954	94	11	)	)	PUNCT
iajs-1954	94	12	in	in	ADP
iajs-1954	94	13	[	[	X
iajs-1954	94	14	20	20	NUM
iajs-1954	94	15	]	]	X
iajs-1954	94	16	gabriel	gabriel	PROPN
iajs-1954	94	17	nagy	nagy	PROPN
iajs-1954	94	18	summarized	summarize	VERB
iajs-1954	94	19	the	the	DET
iajs-1954	94	20	main	main	ADJ
iajs-1954	94	21	properties	property	NOUN
iajs-1954	94	22	of	of	ADP
iajs-1954	94	23	the	the	DET
iajs-1954	94	24	convolution	convolution	NOUN
iajs-1954	94	25	illustrated	illustrate	VERB
iajs-1954	94	26	in	in	ADP
iajs-1954	94	27	the	the	DET
iajs-1954	94	28	following	follow	VERB
iajs-1954	94	29	lemma	lemma	PROPN
iajs-1954	94	30	.	.	PUNCT
iajs-1954	95	1	lemma	lemma	PROPN
iajs-1954	95	2	2	2	NUM
iajs-1954	95	3	(	(	PUNCT
iajs-1954	95	4	properties	property	NOUN
iajs-1954	95	5	)	)	PUNCT
iajs-1954	95	6	for	for	ADP
iajs-1954	95	7	every	every	DET
iajs-1954	95	8	piecewise	piecewise	NOUN
iajs-1954	95	9	continuous	continuous	ADJ
iajs-1954	95	10	functions	function	NOUN
iajs-1954	95	11	f	f	NOUN
iajs-1954	95	12	,	,	PUNCT
iajs-1954	95	13	g	g	PROPN
iajs-1954	95	14	,	,	PUNCT
iajs-1954	95	15	and	and	CCONJ
iajs-1954	95	16	h	h	NOUN
iajs-1954	95	17	,	,	PUNCT
iajs-1954	95	18	the	the	DET
iajs-1954	95	19	following	follow	VERB
iajs-1954	95	20	properties	property	NOUN
iajs-1954	95	21	hold	hold	VERB
iajs-1954	95	22	:	:	PUNCT
iajs-1954	95	23	1	1	X
iajs-1954	95	24	.	.	X
iajs-1954	95	25	commutativity	commutativity	NOUN
iajs-1954	95	26	:	:	PUNCT
iajs-1954	96	1	f	f	PROPN
iajs-1954	96	2	*	*	PUNCT
iajs-1954	97	1	g	g	PROPN
iajs-1954	97	2	=	=	SYM
iajs-1954	97	3	g	g	PROPN
iajs-1954	97	4	*	*	PROPN
iajs-1954	97	5	f.	f.	PROPN
iajs-1954	97	6	2	2	NUM
iajs-1954	97	7	.	.	PUNCT
iajs-1954	97	8	associativity	associativity	NOUN
iajs-1954	97	9	:	:	PUNCT
iajs-1954	97	10	f	f	PROPN
iajs-1954	97	11	*	*	PUNCT
iajs-1954	97	12	(	(	PUNCT
iajs-1954	97	13	g	g	PROPN
iajs-1954	97	14	*	*	PROPN
iajs-1954	97	15	h	h	NOUN
iajs-1954	97	16	)	)	PUNCT
iajs-1954	97	17	=	=	PUNCT
iajs-1954	98	1	(	(	PUNCT
iajs-1954	98	2	f	f	X
iajs-1954	98	3	*	*	PUNCT
iajs-1954	98	4	g	g	NOUN
iajs-1954	98	5	)	)	PUNCT
iajs-1954	98	6	*	*	PUNCT
iajs-1954	99	1	h.	h.	PROPN
iajs-1954	99	2	3	3	X
iajs-1954	99	3	.	.	X
iajs-1954	99	4	distributivity	distributivity	NOUN
iajs-1954	99	5	:	:	PUNCT
iajs-1954	99	6	f	f	PROPN
iajs-1954	99	7	*	*	PUNCT
iajs-1954	99	8	(	(	PUNCT
iajs-1954	99	9	g	g	PROPN
iajs-1954	99	10	+	+	NOUN
iajs-1954	99	11	h	h	NOUN
iajs-1954	99	12	)	)	PUNCT
iajs-1954	99	13	=	=	PUNCT
iajs-1954	100	1	f	f	X
iajs-1954	101	1	*	*	PUNCT
iajs-1954	101	2	g	g	PROPN
iajs-1954	101	3	+	+	CCONJ
iajs-1954	101	4	f	f	PROPN
iajs-1954	101	5	*	*	PUNCT
iajs-1954	101	6	h.	h.	PROPN
iajs-1954	101	7	4	4	X
iajs-1954	101	8	.	.	PUNCT
iajs-1954	101	9	neutral	neutral	ADJ
iajs-1954	101	10	element	element	NOUN
iajs-1954	101	11	:	:	PUNCT
iajs-1954	102	1	f	f	PROPN
iajs-1954	102	2	*	*	PUNCT
iajs-1954	102	3	0	0	PUNCT
iajs-1954	103	1	=	=	SYM
iajs-1954	103	2	0	0	NUM
iajs-1954	103	3	.	.	NOUN
iajs-1954	103	4	5	5	NUM
iajs-1954	103	5	.	.	X
iajs-1954	103	6	identity	identity	NOUN
iajs-1954	103	7	element	element	NOUN
iajs-1954	103	8	:	:	PUNCT
iajs-1954	103	9	f	f	X
iajs-1954	103	10	*	*	PUNCT
iajs-1954	103	11			PROPN
iajs-1954	103	12	=	=	SYM
iajs-1954	103	13	f.	f.	PROPN
iajs-1954	103	14	theorem	theorem	VERB
iajs-1954	103	15	5	5	NUM
iajs-1954	103	16	if	if	SCONJ
iajs-1954	103	17	the	the	DET
iajs-1954	103	18	functions	function	NOUN
iajs-1954	103	19	f	f	PROPN
iajs-1954	103	20	and	and	CCONJ
iajs-1954	103	21	g	g	PROPN
iajs-1954	103	22	have	have	VERB
iajs-1954	103	23	well	well	ADV
iajs-1954	103	24	-	-	PUNCT
iajs-1954	103	25	defined	define	VERB
iajs-1954	103	26	transforms	transform	VERB
iajs-1954	103	27	*	*	PUNCT
iajs-1954	104	1	+	+	PUNCT
iajs-1954	104	2	and	and	CCONJ
iajs-1954	104	3	*	*	PUNCT
iajs-1954	104	4	+	+	ADJ
iajs-1954	104	5	,	,	PUNCT
iajs-1954	104	6	then	then	ADV
iajs-1954	104	7	*	*	PUNCT
iajs-1954	105	1	+	+	PUNCT
iajs-1954	105	2	*	*	PUNCT
iajs-1954	106	1	+	+	PUNCT
iajs-1954	106	2	*	*	PUNCT
iajs-1954	107	1	+	+	NUM
iajs-1954	107	2	proof	proof	NOUN
iajs-1954	107	3	*	*	PUNCT
iajs-1954	107	4	+	+	NUM
iajs-1954	107	5	∫	∫	PROPN
iajs-1954	107	6	(	(	PUNCT
iajs-1954	107	7	)	)	PUNCT
iajs-1954	107	8	(	(	PUNCT
iajs-1954	107	9	)	)	PUNCT
iajs-1954	107	10	∫	∫	PROPN
iajs-1954	107	11	[	[	PUNCT
iajs-1954	107	12	∫	∫	PROPN
iajs-1954	107	13	(	(	PUNCT
iajs-1954	107	14	)	)	PUNCT
iajs-1954	107	15	(	(	PUNCT
iajs-1954	107	16	)	)	PUNCT
iajs-1954	107	17	]	]	PUNCT
iajs-1954	107	18	(	(	PUNCT
iajs-1954	107	19	)	)	PUNCT
iajs-1954	107	20	now	now	ADV
iajs-1954	107	21	let	let	VERB
iajs-1954	107	22	λ=	λ=	NOUN
iajs-1954	107	23	then	then	ADV
iajs-1954	107	24	dλ=	dλ=	INTJ
iajs-1954	107	25	,	,	PUNCT
iajs-1954	107	26	then	then	ADV
iajs-1954	107	27	we	we	PRON
iajs-1954	107	28	get	get	VERB
iajs-1954	107	29	*	*	PUNCT
iajs-1954	108	1	+	+	NUM
iajs-1954	108	2	∫	∫	PROPN
iajs-1954	108	3	*	*	PUNCT
iajs-1954	108	4	∫	∫	PROPN
iajs-1954	108	5	(	(	PUNCT
iajs-1954	108	6	)	)	PUNCT
iajs-1954	108	7	(	(	PUNCT
iajs-1954	108	8	)	)	PUNCT
iajs-1954	108	9	+	+	CCONJ
iajs-1954	108	10	∫	∫	PROPN
iajs-1954	108	11	∫	∫	PROPN
iajs-1954	108	12	(	(	PUNCT
iajs-1954	108	13	)	)	PUNCT
iajs-1954	108	14	(	(	PUNCT
iajs-1954	108	15	)	)	PUNCT
iajs-1954	108	16	(	(	PUNCT
iajs-1954	108	17	)	)	PUNCT
iajs-1954	108	18	from	from	ADP
iajs-1954	108	19	figure1	figure1	PROPN
iajs-1954	108	20	and	and	CCONJ
iajs-1954	108	21	figure2	figure2	ADJ
iajs-1954	108	22	,	,	PUNCT
iajs-1954	108	23	it	it	PRON
iajs-1954	108	24	is	be	AUX
iajs-1954	108	25	clear	clear	ADJ
iajs-1954	108	26	that	that	SCONJ
iajs-1954	108	27	the	the	DET
iajs-1954	108	28	regions	region	NOUN
iajs-1954	108	29	r1={(τ	r1={(τ	VERB
iajs-1954	108	30	,	,	PUNCT
iajs-1954	108	31	λ)r	λ)r	X
iajs-1954	108	32	2	2	NUM
iajs-1954	108	33	:	:	PUNCT
iajs-1954	108	34	0τλ	0τλ	ADJ
iajs-1954	108	35	,	,	PUNCT
iajs-1954	108	36	0λ<	0λ<	NUM
iajs-1954	108	37	}	}	PUNCT
iajs-1954	108	38	and	and	CCONJ
iajs-1954	108	39	r2={(γ	r2={(γ	PROPN
iajs-1954	108	40	,	,	PUNCT
iajs-1954	108	41	ξ	ξ	NOUN
iajs-1954	108	42	)	)	PUNCT
iajs-1954	108	43	r	r	NOUN
iajs-1954	108	44	2	2	NUM
iajs-1954	108	45	:	:	PUNCT
iajs-1954	108	46	τ	τ	PROPN
iajs-1954	108	47	λ<	λ<	PROPN
iajs-1954	108	48	,	,	PUNCT
iajs-1954	108	49	0	0	NOUN
iajs-1954	108	50	τ	τ	PROPN
iajs-1954	108	51	}	}	PUNCT
iajs-1954	108	52	are	be	AUX
iajs-1954	108	53	equal	equal	ADJ
iajs-1954	108	54	.	.	PUNCT
iajs-1954	109	1	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	NOUN
iajs-1954	109	2	mathmatics	mathmatic	NOUN
iajs-1954	109	3	|	|	ADV
iajs-1954	109	4	158	158	NUM
iajs-1954	109	5	2018	2018	NUM
iajs-1954	109	6	(	(	PUNCT
iajs-1954	109	7	عام	عام	ADP
iajs-1954	109	8	2العدد	2العدد	NUM
iajs-1954	109	9	)	)	PUNCT
iajs-1954	109	10	31المجلد	31المجلد	NUM
iajs-1954	110	1	مجلة	مجلة	VERB
iajs-1954	110	2	إبن	إبن	VERB
iajs-1954	110	3	الهيثم	الهيثم	ADJ
iajs-1954	110	4	للعلوم	للعلوم	NOUN
iajs-1954	110	5	الصرفة	الصرفة	NOUN
iajs-1954	111	1	و	و	PRON
iajs-1954	111	2	التطبيقية	التطبيقية	ADJ
iajs-1954	111	3	ibn	ibn	PROPN
iajs-1954	111	4	al	al	PROPN
iajs-1954	111	5	-	-	PUNCT
iajs-1954	111	6	haitham	haitham	PROPN
iajs-1954	111	7	jour	jour	X
iajs-1954	111	8	.	.	PROPN
iajs-1954	111	9	for	for	ADP
iajs-1954	111	10	pure	pure	ADJ
iajs-1954	111	11	&	&	CCONJ
iajs-1954	111	12	appl	appl	PROPN
iajs-1954	111	13	.	.	PUNCT
iajs-1954	112	1	sci	sci	PROPN
iajs-1954	112	2	.	.	PUNCT
iajs-1954	112	3	vol	vol	NOUN
iajs-1954	112	4	.	.	PROPN
iajs-1954	113	1	31	31	NUM
iajs-1954	113	2	(	(	PUNCT
iajs-1954	113	3	2	2	NUM
iajs-1954	113	4	)	)	SYM
iajs-1954	113	5	2018	2018	NUM
iajs-1954	113	6	figure	figure	NOUN
iajs-1954	113	7	(	(	PUNCT
iajs-1954	113	8	1	1	NUM
iajs-1954	113	9	):	):	PUNCT
iajs-1954	113	10	the	the	DET
iajs-1954	113	11	region	region	NOUN
iajs-1954	113	12	r1	r1	NOUN
iajs-1954	113	13	figure	figure	NOUN
iajs-1954	113	14	(	(	PUNCT
iajs-1954	113	15	2	2	NUM
iajs-1954	113	16	):	):	PUNCT
iajs-1954	113	17	the	the	DET
iajs-1954	113	18	region	region	NOUN
iajs-1954	113	19	r2	r2	PROPN
iajs-1954	113	20	then	then	ADV
iajs-1954	113	21	we	we	PRON
iajs-1954	113	22	can	can	AUX
iajs-1954	113	23	change	change	VERB
iajs-1954	113	24	the	the	DET
iajs-1954	113	25	order	order	NOUN
iajs-1954	113	26	of	of	ADP
iajs-1954	113	27	integration	integration	NOUN
iajs-1954	113	28	,	,	PUNCT
iajs-1954	113	29	i.e.	i.e.	X
iajs-1954	113	30	,equation	,equation	PUNCT
iajs-1954	113	31	(	(	PUNCT
iajs-1954	113	32	8)	8)	NUM
iajs-1954	113	33	becomes	become	VERB
iajs-1954	113	34	:	:	PUNCT
iajs-1954	113	35	*	*	PUNCT
iajs-1954	113	36	+	+	NUM
iajs-1954	113	37	∫	∫	PROPN
iajs-1954	113	38	∫	∫	PROPN
iajs-1954	113	39	(	(	PUNCT
iajs-1954	113	40	)	)	PUNCT
iajs-1954	113	41	(	(	PUNCT
iajs-1954	113	42	)	)	PUNCT
iajs-1954	113	43	(	(	PUNCT
iajs-1954	113	44	)	)	PUNCT
iajs-1954	113	45	now	now	ADV
iajs-1954	113	46	,	,	PUNCT
iajs-1954	113	47	ifγ=	ifγ=	PROPN
iajs-1954	113	48	λ	λ	PROPN
iajs-1954	113	49	-	-	PUNCT
iajs-1954	113	50	τ	τ	PROPN
iajs-1954	113	51	then	then	ADV
iajs-1954	113	52	dγ	dγ	PROPN
iajs-1954	113	53	=	=	NOUN
iajs-1954	113	54	dλ	dλ	NOUN
iajs-1954	113	55	,	,	PUNCT
iajs-1954	113	56	since	since	SCONJ
iajs-1954	113	57	the	the	DET
iajs-1954	113	58	variable	variable	ADJ
iajs-1954	113	59	τ	τ	PROPN
iajs-1954	113	60	is	be	AUX
iajs-1954	113	61	constant	constant	ADJ
iajs-1954	113	62	,	,	PUNCT
iajs-1954	113	63	hence	hence	ADV
iajs-1954	113	64	when	when	SCONJ
iajs-1954	113	65	we	we	PRON
iajs-1954	113	66	integrate	integrate	VERB
iajs-1954	113	67	with	with	ADP
iajs-1954	113	68	respect	respect	NOUN
iajs-1954	113	69	to	to	ADP
iajs-1954	113	70	τ	τ	PROPN
iajs-1954	113	71	,	,	PUNCT
iajs-1954	113	72	we	we	PRON
iajs-1954	113	73	get	get	VERB
iajs-1954	113	74	*	*	PUNCT
iajs-1954	114	1	+	+	NUM
iajs-1954	114	2	∫	∫	PROPN
iajs-1954	114	3	∫	∫	PROPN
iajs-1954	114	4	(	(	PUNCT
iajs-1954	114	5	)	)	PUNCT
iajs-1954	114	6	(	(	PUNCT
iajs-1954	114	7	)	)	PUNCT
iajs-1954	114	8	(	(	PUNCT
iajs-1954	114	9	)	)	PUNCT
iajs-1954	114	10	∫	∫	PROPN
iajs-1954	114	11	(	(	PUNCT
iajs-1954	114	12	)	)	PUNCT
iajs-1954	115	1	[	[	X
iajs-1954	115	2	∫	∫	X
iajs-1954	115	3	(	(	PUNCT
iajs-1954	115	4	)	)	PUNCT
iajs-1954	115	5	]	]	PUNCT
iajs-1954	116	1	[	[	X
iajs-1954	116	2	∫	∫	X
iajs-1954	116	3	(	(	PUNCT
iajs-1954	116	4	)	)	PUNCT
iajs-1954	116	5	]	]	PUNCT
iajs-1954	117	1	[	[	X
iajs-1954	117	2	∫	∫	X
iajs-1954	117	3	(	(	PUNCT
iajs-1954	117	4	)	)	PUNCT
iajs-1954	117	5	]	]	PUNCT
iajs-1954	118	1	ifx	ifx	PROPN
iajs-1954	118	2	=	=	PROPN
iajs-1954	118	3	uτ	uτ	PROPN
iajs-1954	118	4	and	and	CCONJ
iajs-1954	118	5	y	y	PRON
iajs-1954	118	6	=	=	PRON
iajs-1954	118	7	uγthen	uγthen	NOUN
iajs-1954	118	8	we	we	PRON
iajs-1954	118	9	have	have	VERB
iajs-1954	118	10	dx	dx	NOUN
iajs-1954	118	11	=	=	NOUN
iajs-1954	118	12	udτ	udτ	PROPN
iajs-1954	118	13	anddy	anddy	PROPN
iajs-1954	118	14	=	=	SYM
iajs-1954	118	15	udγ	udγ	PROPN
iajs-1954	118	16	,	,	PUNCT
iajs-1954	118	17	i.e.	i.e.	X
iajs-1954	118	18	,	,	PUNCT
iajs-1954	118	19	*	*	PUNCT
iajs-1954	119	1	+	+	PUNCT
iajs-1954	120	1	[	[	X
iajs-1954	120	2	∫	∫	X
iajs-1954	120	3	.	.	PUNCT
iajs-1954	120	4	/	/	PUNCT
iajs-1954	120	5	]	]	PUNCT
iajs-1954	121	1	[	[	X
iajs-1954	121	2	∫	∫	X
iajs-1954	121	3	.	.	PUNCT
iajs-1954	121	4	/	/	PUNCT
iajs-1954	121	5	]	]	PUNCT
iajs-1954	121	6	*	*	PUNCT
iajs-1954	122	1	+	+	PUNCT
iajs-1954	122	2	*	*	PUNCT
iajs-1954	122	3	+	+	NUM
iajs-1954	122	4	6	6	NUM
iajs-1954	122	5	.	.	PUNCT
iajs-1954	123	1	the	the	DET
iajs-1954	123	2	transform	transform	NOUN
iajs-1954	123	3	of	of	ADP
iajs-1954	123	4	derivative	derivative	ADJ
iajs-1954	123	5	and	and	CCONJ
iajs-1954	123	6	integral	integral	ADJ
iajs-1954	123	7	theorem	theorem	NOUN
iajs-1954	123	8	6	6	NUM
iajs-1954	123	9	(	(	PUNCT
iajs-1954	123	10	derivatives	derivative	NOUN
iajs-1954	123	11	)	)	PUNCT
iajs-1954	123	12	if	if	SCONJ
iajs-1954	123	13	the	the	DET
iajs-1954	123	14	functions	function	NOUN
iajs-1954	123	15	*	*	PUNCT
iajs-1954	123	16	+	+	PUNCT
iajs-1954	123	17	and	and	CCONJ
iajs-1954	123	18	*	*	PUNCT
iajs-1954	124	1	+	+	PUNCT
iajs-1954	124	2	are	be	AUX
iajs-1954	124	3	well	well	ADV
iajs-1954	124	4	-	-	PUNCT
iajs-1954	124	5	defined	define	VERB
iajs-1954	124	6	then	then	ADV
iajs-1954	124	7	*	*	PUNCT
iajs-1954	125	1	+	+	PUNCT
iajs-1954	125	2	(	(	PUNCT
iajs-1954	125	3	*	*	PUNCT
iajs-1954	125	4	+	+	PUNCT
iajs-1954	125	5	(	(	PUNCT
iajs-1954	125	6	)	)	PUNCT
iajs-1954	125	7	)	)	PUNCT
iajs-1954	125	8	proof	proof	NOUN
iajs-1954	125	9	*	*	PUNCT
iajs-1954	125	10	(	(	PUNCT
iajs-1954	125	11	)	)	PUNCT
iajs-1954	125	12	+	+	NUM
iajs-1954	125	13	∫	∫	PROPN
iajs-1954	125	14	(	(	PUNCT
iajs-1954	125	15	)	)	PUNCT
iajs-1954	125	16	using	use	VERB
iajs-1954	125	17	the	the	DET
iajs-1954	125	18	integral	integral	ADJ
iajs-1954	125	19	by	by	ADP
iajs-1954	125	20	part	part	NOUN
iajs-1954	125	21	we	we	PRON
iajs-1954	125	22	have	have	VERB
iajs-1954	125	23	*	*	PUNCT
iajs-1954	125	24	(	(	PUNCT
iajs-1954	125	25	)	)	PUNCT
iajs-1954	125	26	+	+	CCONJ
iajs-1954	125	27	(	(	PUNCT
iajs-1954	125	28	)	)	PUNCT
iajs-1954	125	29	|	|	ADV
iajs-1954	125	30	∫	∫	PROPN
iajs-1954	125	31	(	(	PUNCT
iajs-1954	125	32	)	)	PUNCT
iajs-1954	125	33	(	(	PUNCT
iajs-1954	125	34	)	)	PUNCT
iajs-1954	125	35	*	*	PUNCT
iajs-1954	126	1	+	+	PUNCT
iajs-1954	126	2	*	*	PUNCT
iajs-1954	127	1	+	+	PUNCT
iajs-1954	127	2	*	*	PUNCT
iajs-1954	127	3	+	+	PUNCT
iajs-1954	127	4	(	(	PUNCT
iajs-1954	127	5	)	)	PUNCT
iajs-1954	127	6	corollary2(n	corollary2(n	NOUN
iajs-1954	127	7	th	th	ADP
iajs-1954	127	8	derivatives	derivative	NOUN
iajs-1954	127	9	)	)	PUNCT
iajs-1954	127	10	if	if	SCONJ
iajs-1954	127	11	the	the	DET
iajs-1954	127	12	functions	function	NOUN
iajs-1954	127	13	*	*	PUNCT
iajs-1954	128	1	+	+	ADJ
iajs-1954	128	2	,	,	PUNCT
iajs-1954	128	3	*	*	PUNCT
iajs-1954	128	4	+	+	ADJ
iajs-1954	128	5	,	,	PUNCT
iajs-1954	128	6	…	…	PUNCT
iajs-1954	128	7	,	,	PUNCT
iajs-1954	128	8	{	{	PUNCT
iajs-1954	128	9	(	(	PUNCT
iajs-1954	128	10	)	)	PUNCT
iajs-1954	128	11	}	}	PUNCT
iajs-1954	128	12	are	be	AUX
iajs-1954	128	13	well	well	ADV
iajs-1954	128	14	-	-	PUNCT
iajs-1954	128	15	defined	define	VERB
iajs-1954	128	16	,	,	PUNCT
iajs-1954	128	17	n=1,2,3	n=1,2,3	NUM
iajs-1954	128	18	,	,	PUNCT
iajs-1954	128	19	…	…	PUNCT
iajs-1954	128	20	then	then	ADV
iajs-1954	128	21	0	0	NUM
iajs-1954	128	22	λ	λ	NOUN
iajs-1954	128	23	τ	τ	X
iajs-1954	128	24	λ	λ	X
iajs-1954	128	25	=	=	NOUN
iajs-1954	128	26	τ	τ	X
iajs-1954	128	27	0	0	NUM
iajs-1954	128	28	λ	λ	X
iajs-1954	128	29	τ	τ	X
iajs-1954	128	30	λ	λ	X
iajs-1954	128	31	=	=	NOUN
iajs-1954	128	32	τ	τ	PROPN
iajs-1954	128	33	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	PART
iajs-1954	128	34	mathmatics	mathmatic	NOUN
iajs-1954	128	35	|	|	ADV
iajs-1954	128	36	159	159	NUM
iajs-1954	128	37	2018	2018	NUM
iajs-1954	128	38	(	(	PUNCT
iajs-1954	128	39	عام	عام	ADP
iajs-1954	128	40	2العدد	2العدد	NUM
iajs-1954	128	41	)	)	PUNCT
iajs-1954	128	42	31المجلد	31المجلد	NUM
iajs-1954	129	1	مجلة	مجلة	VERB
iajs-1954	129	2	إبن	إبن	VERB
iajs-1954	129	3	الهيثم	الهيثم	ADJ
iajs-1954	129	4	للعلوم	للعلوم	NOUN
iajs-1954	129	5	الصرفة	الصرفة	NOUN
iajs-1954	130	1	و	و	PRON
iajs-1954	130	2	التطبيقية	التطبيقية	ADJ
iajs-1954	130	3	ibn	ibn	PROPN
iajs-1954	130	4	al	al	PROPN
iajs-1954	130	5	-	-	PUNCT
iajs-1954	130	6	haitham	haitham	PROPN
iajs-1954	130	7	jour	jour	X
iajs-1954	130	8	.	.	PROPN
iajs-1954	130	9	for	for	ADP
iajs-1954	130	10	pure	pure	ADJ
iajs-1954	130	11	&	&	CCONJ
iajs-1954	130	12	appl	appl	PROPN
iajs-1954	130	13	.	.	PUNCT
iajs-1954	131	1	sci	sci	PROPN
iajs-1954	131	2	.	.	PUNCT
iajs-1954	131	3	vol	vol	NOUN
iajs-1954	131	4	.	.	PROPN
iajs-1954	132	1	31	31	NUM
iajs-1954	132	2	(	(	PUNCT
iajs-1954	132	3	2	2	NUM
iajs-1954	132	4	)	)	PUNCT
iajs-1954	132	5	2018	2018	NUM
iajs-1954	132	6	{	{	PUNCT
iajs-1954	132	7	(	(	PUNCT
iajs-1954	132	8	)	)	PUNCT
iajs-1954	132	9	}	}	PUNCT
iajs-1954	132	10	*	*	PUNCT
iajs-1954	133	1	+	+	CCONJ
iajs-1954	133	2	∑	∑	PUNCT
iajs-1954	133	3	(	(	PUNCT
iajs-1954	133	4	)	)	PUNCT
iajs-1954	133	5	(	(	PUNCT
iajs-1954	133	6	)	)	PUNCT
iajs-1954	133	7	proof	proof	NOUN
iajs-1954	133	8	we	we	PRON
iajs-1954	133	9	will	will	AUX
iajs-1954	133	10	use	use	VERB
iajs-1954	133	11	the	the	DET
iajs-1954	133	12	mathematical	mathematical	ADJ
iajs-1954	133	13	induction	induction	NOUN
iajs-1954	133	14	if	if	SCONJ
iajs-1954	133	15	n=1	n=1	PROPN
iajs-1954	133	16	then	then	ADV
iajs-1954	133	17	the	the	DET
iajs-1954	133	18	corollary	corollary	ADJ
iajs-1954	133	19	(	(	PUNCT
iajs-1954	133	20	2	2	NUM
iajs-1954	133	21	)	)	PUNCT
iajs-1954	133	22	holds	hold	VERB
iajs-1954	133	23	by	by	ADP
iajs-1954	133	24	theorem	theorem	NOUN
iajs-1954	133	25	(	(	PUNCT
iajs-1954	133	26	6	6	NUM
iajs-1954	133	27	)	)	PUNCT
iajs-1954	133	28	.	.	PUNCT
iajs-1954	134	1	now	now	ADV
iajs-1954	134	2	suppose	suppose	VERB
iajs-1954	134	3	it	it	PRON
iajs-1954	134	4	holds	hold	VERB
iajs-1954	134	5	for	for	ADP
iajs-1954	134	6	n	n	NOUN
iajs-1954	134	7	=	=	NOUN
iajs-1954	134	8	m	m	PROPN
iajs-1954	134	9	,	,	PUNCT
iajs-1954	134	10	i.e.	i.e.	X
iajs-1954	134	11	,	,	PUNCT
iajs-1954	134	12	{	{	PUNCT
iajs-1954	134	13	(	(	PUNCT
iajs-1954	134	14	)	)	PUNCT
iajs-1954	134	15	}	}	PUNCT
iajs-1954	134	16	*	*	PUNCT
iajs-1954	135	1	+	+	CCONJ
iajs-1954	135	2	∑	∑	PUNCT
iajs-1954	135	3	(	(	PUNCT
iajs-1954	135	4	)	)	PUNCT
iajs-1954	135	5	(	(	PUNCT
iajs-1954	135	6	)	)	PUNCT
iajs-1954	135	7	and	and	CCONJ
iajs-1954	135	8	suppose	suppose	VERB
iajs-1954	135	9	n	n	CCONJ
iajs-1954	135	10	=	=	NOUN
iajs-1954	135	11	m+1	m+1	NUM
iajs-1954	135	12	:	:	PUNCT
iajs-1954	135	13	{	{	PUNCT
iajs-1954	135	14	(	(	PUNCT
iajs-1954	135	15	)	)	PUNCT
iajs-1954	135	16	}	}	PUNCT
iajs-1954	135	17	{	{	PUNCT
iajs-1954	135	18	(	(	PUNCT
iajs-1954	135	19	(	(	PUNCT
iajs-1954	135	20	)	)	PUNCT
iajs-1954	135	21	)	)	PUNCT
iajs-1954	135	22	}	}	PUNCT
iajs-1954	135	23	{	{	PUNCT
iajs-1954	135	24	(	(	PUNCT
iajs-1954	135	25	)	)	PUNCT
iajs-1954	135	26	}	}	PUNCT
iajs-1954	135	27	(	(	PUNCT
iajs-1954	135	28	)	)	PUNCT
iajs-1954	135	29	(	(	PUNCT
iajs-1954	135	30	)	)	PUNCT
iajs-1954	135	31	[	[	PUNCT
iajs-1954	135	32	*	*	PUNCT
iajs-1954	135	33	+	+	NUM
iajs-1954	135	34	∑	∑	PUNCT
iajs-1954	135	35	(	(	PUNCT
iajs-1954	135	36	)	)	PUNCT
iajs-1954	135	37	(	(	PUNCT
iajs-1954	135	38	)	)	PUNCT
iajs-1954	135	39	]	]	PUNCT
iajs-1954	135	40	(	(	PUNCT
iajs-1954	135	41	)	)	PUNCT
iajs-1954	135	42	(	(	PUNCT
iajs-1954	135	43	)	)	PUNCT
iajs-1954	135	44	*	*	PUNCT
iajs-1954	136	1	+	+	CCONJ
iajs-1954	136	2	∑	∑	PUNCT
iajs-1954	136	3	(	(	PUNCT
iajs-1954	136	4	)	)	PUNCT
iajs-1954	136	5	(	(	PUNCT
iajs-1954	136	6	)	)	PUNCT
iajs-1954	136	7	(	(	PUNCT
iajs-1954	136	8	)	)	PUNCT
iajs-1954	136	9	then	then	ADV
iajs-1954	136	10	the	the	DET
iajs-1954	136	11	corollary	corollary	NOUN
iajs-1954	136	12	is	be	AUX
iajs-1954	136	13	performing	perform	VERB
iajs-1954	136	14	for	for	ADP
iajs-1954	136	15	any	any	DET
iajs-1954	136	16	nonnegative	nonnegative	ADJ
iajs-1954	136	17	integer	integer	NOUN
iajs-1954	136	18	n.	n.	NOUN
iajs-1954	136	19	theorem	theorem	VERB
iajs-1954	136	20	7	7	NUM
iajs-1954	136	21	(	(	PUNCT
iajs-1954	136	22	derivatives	derivative	NOUN
iajs-1954	136	23	of	of	ADP
iajs-1954	136	24	other	other	ADJ
iajs-1954	136	25	variables	variable	NOUN
iajs-1954	136	26	)	)	PUNCT
iajs-1954	137	1	if	if	SCONJ
iajs-1954	137	2	the	the	DET
iajs-1954	137	3	function	function	NOUN
iajs-1954	137	4	*	*	PUNCT
iajs-1954	137	5	(	(	PUNCT
iajs-1954	137	6	)	)	PUNCT
iajs-1954	137	7	+	+	NOUN
iajs-1954	137	8	is	be	AUX
iajs-1954	137	9	well	well	ADV
iajs-1954	137	10	-	-	PUNCT
iajs-1954	137	11	defined	define	VERB
iajs-1954	137	12	then	then	ADV
iajs-1954	137	13	:	:	PUNCT
iajs-1954	137	14	{	{	PUNCT
iajs-1954	137	15	(	(	PUNCT
iajs-1954	137	16	)	)	PUNCT
iajs-1954	137	17	}	}	PUNCT
iajs-1954	137	18	*	*	PUNCT
iajs-1954	137	19	(	(	PUNCT
iajs-1954	137	20	)	)	PUNCT
iajs-1954	137	21	+	+	NUM
iajs-1954	137	22	proof	proof	NOUN
iajs-1954	137	23	{	{	PUNCT
iajs-1954	137	24	(	(	PUNCT
iajs-1954	137	25	)	)	PUNCT
iajs-1954	137	26	}	}	PUNCT
iajs-1954	137	27	∫	∫	PROPN
iajs-1954	137	28	(	(	PUNCT
iajs-1954	137	29	)	)	PUNCT
iajs-1954	137	30	(	(	PUNCT
iajs-1954	137	31	∫	∫	PROPN
iajs-1954	137	32	(	(	PUNCT
iajs-1954	137	33	)	)	PUNCT
iajs-1954	137	34	)	)	PUNCT
iajs-1954	137	35	{	{	PUNCT
iajs-1954	137	36	(	(	PUNCT
iajs-1954	137	37	)	)	PUNCT
iajs-1954	137	38	}	}	PUNCT
iajs-1954	137	39	*	*	PUNCT
iajs-1954	138	1	+	+	CCONJ
iajs-1954	138	2	theorem	theorem	ADJ
iajs-1954	138	3	8(integral	8(integral	NUM
iajs-1954	138	4	)	)	PUNCT
iajs-1954	138	5	if	if	SCONJ
iajs-1954	138	6	the	the	DET
iajs-1954	138	7	function	function	NOUN
iajs-1954	138	8	*	*	PUNCT
iajs-1954	138	9	(	(	PUNCT
iajs-1954	138	10	)	)	PUNCT
iajs-1954	138	11	+	+	CCONJ
iajs-1954	138	12	is	be	AUX
iajs-1954	138	13	well	well	ADV
iajs-1954	138	14	-	-	PUNCT
iajs-1954	138	15	defined	define	VERB
iajs-1954	138	16	then	then	ADV
iajs-1954	138	17	,	,	PUNCT
iajs-1954	138	18	∫	∫	PROPN
iajs-1954	138	19	(	(	PUNCT
iajs-1954	138	20	)	)	PUNCT
iajs-1954	138	21	*	*	PUNCT
iajs-1954	139	1	+	+	PUNCT
iajs-1954	139	2	proof	proof	NOUN
iajs-1954	139	3	suppose	suppose	VERB
iajs-1954	139	4	that	that	SCONJ
iajs-1954	139	5	g(t	g(t	PROPN
iajs-1954	139	6	-	-	PUNCT
iajs-1954	139	7	τ)=1	τ)=1	PROPN
iajs-1954	139	8	,	,	PUNCT
iajs-1954	139	9	then	then	ADV
iajs-1954	139	10	from	from	ADP
iajs-1954	139	11	theorem	theorem	NOUN
iajs-1954	139	12	(	(	PUNCT
iajs-1954	139	13	5	5	NUM
iajs-1954	139	14	)	)	PUNCT
iajs-1954	139	15	and	and	CCONJ
iajs-1954	139	16	example	example	NOUN
iajs-1954	139	17	(	(	PUNCT
iajs-1954	139	18	1	1	X
iajs-1954	139	19	)	)	PUNCT
iajs-1954	139	20	we	we	PRON
iajs-1954	139	21	have	have	AUX
iajs-1954	139	22	,	,	PUNCT
iajs-1954	139	23	∫	∫	PROPN
iajs-1954	139	24	(	(	PUNCT
iajs-1954	139	25	)	)	PUNCT
iajs-1954	139	26	,	,	PUNCT
iajs-1954	139	27	∫	∫	PROPN
iajs-1954	139	28	(	(	PUNCT
iajs-1954	139	29	)	)	PUNCT
iajs-1954	139	30	(	(	PUNCT
iajs-1954	139	31	)	)	PUNCT
iajs-1954	139	32	*	*	PUNCT
iajs-1954	140	1	+	+	PUNCT
iajs-1954	140	2	*	*	PUNCT
iajs-1954	141	1	+	+	PUNCT
iajs-1954	141	2	*	*	PUNCT
iajs-1954	142	1	+	+	PUNCT
iajs-1954	142	2	*	*	PUNCT
iajs-1954	143	1	+	+	PUNCT
iajs-1954	143	2	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	NOUN
iajs-1954	143	3	mathmatics	mathmatic	NOUN
iajs-1954	143	4	|	|	ADV
iajs-1954	143	5	160	160	NUM
iajs-1954	143	6	2018	2018	NUM
iajs-1954	143	7	(	(	PUNCT
iajs-1954	143	8	عام	عام	ADP
iajs-1954	143	9	2العدد	2العدد	NUM
iajs-1954	143	10	)	)	PUNCT
iajs-1954	143	11	31المجلد	31المجلد	NUM
iajs-1954	143	12	مجلة	مجلة	VERB
iajs-1954	143	13	إبن	إبن	VERB
iajs-1954	143	14	الهيثم	الهيثم	ADJ
iajs-1954	143	15	للعلوم	للعلوم	NOUN
iajs-1954	143	16	الصرفة	الصرفة	NOUN
iajs-1954	144	1	و	و	PRON
iajs-1954	144	2	التطبيقية	التطبيقية	ADJ
iajs-1954	144	3	ibn	ibn	PROPN
iajs-1954	144	4	al	al	PROPN
iajs-1954	144	5	-	-	PUNCT
iajs-1954	144	6	haitham	haitham	PROPN
iajs-1954	144	7	jour	jour	X
iajs-1954	144	8	.	.	PROPN
iajs-1954	144	9	for	for	ADP
iajs-1954	144	10	pure	pure	ADJ
iajs-1954	144	11	&	&	CCONJ
iajs-1954	144	12	appl	appl	PROPN
iajs-1954	144	13	.	.	PUNCT
iajs-1954	145	1	sci	sci	PROPN
iajs-1954	145	2	.	.	PUNCT
iajs-1954	145	3	vol	vol	NOUN
iajs-1954	145	4	.	.	PROPN
iajs-1954	146	1	31	31	NUM
iajs-1954	146	2	(	(	PUNCT
iajs-1954	146	3	2	2	NUM
iajs-1954	146	4	)	)	PUNCT
iajs-1954	146	5	2018	2018	NUM
iajs-1954	146	6	the	the	DET
iajs-1954	146	7	inverse	inverse	NOUN
iajs-1954	146	8	of	of	ADP
iajs-1954	146	9	new	new	ADJ
iajs-1954	146	10	transform	transform	NOUN
iajs-1954	146	11	definition8	definition8	PROPN
iajs-1954	146	12	let	let	VERB
iajs-1954	146	13	the	the	DET
iajs-1954	146	14	functions	function	NOUN
iajs-1954	146	15	(	(	PUNCT
iajs-1954	146	16	̅	̅	NOUN
iajs-1954	146	17	)	)	PUNCT
iajs-1954	146	18	*	*	PUNCT
iajs-1954	147	1	+	+	CCONJ
iajs-1954	147	2	is	be	AUX
iajs-1954	147	3	the	the	DET
iajs-1954	147	4	transform	transform	NOUN
iajs-1954	147	5	of	of	ADP
iajs-1954	147	6	the	the	DET
iajs-1954	147	7	function	function	NOUN
iajs-1954	147	8	f(t	f(t	PROPN
iajs-1954	147	9	)	)	PUNCT
iajs-1954	147	10	,	,	PUNCT
iajs-1954	147	11	then	then	ADV
iajs-1954	147	12	f(t	f(t	NOUN
iajs-1954	147	13	)	)	PUNCT
iajs-1954	147	14	is	be	AUX
iajs-1954	147	15	called	call	VERB
iajs-1954	147	16	the	the	DET
iajs-1954	147	17	inverse	inverse	NOUN
iajs-1954	147	18	transform	transform	NOUN
iajs-1954	147	19	of	of	ADP
iajs-1954	147	20	the	the	DET
iajs-1954	147	21	function	function	NOUN
iajs-1954	147	22	(	(	PUNCT
iajs-1954	147	23	̅	̅	NOUN
iajs-1954	147	24	)	)	PUNCT
iajs-1954	147	25	and	and	CCONJ
iajs-1954	147	26	we	we	PRON
iajs-1954	147	27	will	will	AUX
iajs-1954	147	28	write	write	VERB
iajs-1954	147	29	it	it	PRON
iajs-1954	147	30	as	as	ADP
iajs-1954	147	31	:	:	PUNCT
iajs-1954	147	32	(	(	PUNCT
iajs-1954	147	33	)	)	PUNCT
iajs-1954	147	34	{	{	PUNCT
iajs-1954	147	35	(	(	PUNCT
iajs-1954	147	36	̅	̅	NOUN
iajs-1954	147	37	)	)	PUNCT
iajs-1954	147	38	}	}	PUNCT
iajs-1954	147	39	remark	remark	VERB
iajs-1954	147	40	:	:	PUNCT
iajs-1954	147	41	the	the	DET
iajs-1954	147	42	inverse	inverse	NOUN
iajs-1954	147	43	transform	transform	NOUN
iajs-1954	147	44	has	have	VERB
iajs-1954	147	45	the	the	DET
iajs-1954	147	46	linear	linear	ADJ
iajs-1954	147	47	combination	combination	NOUN
iajs-1954	147	48	property	property	NOUN
iajs-1954	147	49	,	,	PUNCT
iajs-1954	147	50	i.e.	i.e.	X
iajs-1954	147	51	,	,	PUNCT
iajs-1954	147	52	{	{	PUNCT
iajs-1954	147	53	∑	∑	PART
iajs-1954	147	54	̅	̅	NOUN
iajs-1954	147	55	(	(	PUNCT
iajs-1954	147	56	)	)	PUNCT
iajs-1954	147	57	}	}	PUNCT
iajs-1954	147	58	∑	∑	ADP
iajs-1954	147	59	{	{	PUNCT
iajs-1954	147	60	̅	̅	NOUN
iajs-1954	147	61	(	(	PUNCT
iajs-1954	147	62	)	)	PUNCT
iajs-1954	147	63	}	}	PUNCT
iajs-1954	147	64	the	the	DET
iajs-1954	147	65	duality	duality	NOUN
iajs-1954	147	66	with	with	ADP
iajs-1954	147	67	laplace	laplace	NOUN
iajs-1954	147	68	transform	transform	NOUN
iajs-1954	147	69	theorem	theorem	ADJ
iajs-1954	147	70	9	9	NUM
iajs-1954	147	71	let	let	VERB
iajs-1954	147	72	fsatisfy	fsatisfy	VERB
iajs-1954	147	73	the	the	DET
iajs-1954	147	74	conditions	condition	NOUN
iajs-1954	147	75	in	in	ADP
iajs-1954	147	76	theorem1	theorem1	PROPN
iajs-1954	147	77	,	,	PUNCT
iajs-1954	147	78	and	and	CCONJ
iajs-1954	147	79	has	have	VERB
iajs-1954	147	80	laplace	laplace	NOUN
iajs-1954	147	81	transform	transform	NOUN
iajs-1954	147	82	*	*	PUNCT
iajs-1954	147	83	(	(	PUNCT
iajs-1954	147	84	)	)	PUNCT
iajs-1954	147	85	+	+	CCONJ
iajs-1954	147	86	̂	̂	PROPN
iajs-1954	147	87	(	(	PUNCT
iajs-1954	147	88	)	)	PUNCT
iajs-1954	147	89	.	.	PUNCT
iajs-1954	148	1	then	then	ADV
iajs-1954	148	2	the	the	DET
iajs-1954	148	3	transform	transform	NOUN
iajs-1954	148	4	(	(	PUNCT
iajs-1954	148	5	̅	̅	NOUN
iajs-1954	148	6	)	)	PUNCT
iajs-1954	148	7	off(t	off(t	NOUN
iajs-1954	148	8	)	)	PUNCT
iajs-1954	148	9	is	be	AUX
iajs-1954	148	10	given	give	VERB
iajs-1954	148	11	by	by	ADP
iajs-1954	148	12	(	(	PUNCT
iajs-1954	148	13	̅	̅	NOUN
iajs-1954	148	14	)	)	PUNCT
iajs-1954	148	15	̂	̂	X
iajs-1954	148	16	(	(	PUNCT
iajs-1954	148	17	)	)	PUNCT
iajs-1954	148	18	proof	proof	NOUN
iajs-1954	148	19	(	(	PUNCT
iajs-1954	148	20	̅	̅	NOUN
iajs-1954	148	21	)	)	PUNCT
iajs-1954	148	22	∫	∫	PROPN
iajs-1954	148	23	(	(	PUNCT
iajs-1954	148	24	)	)	PUNCT
iajs-1954	148	25	(	(	PUNCT
iajs-1954	148	26	)	)	PUNCT
iajs-1954	148	27	if	if	SCONJ
iajs-1954	148	28	we	we	PRON
iajs-1954	148	29	set	set	VERB
iajs-1954	148	30	x=	x=	PUNCT
iajs-1954	149	1	then	then	ADV
iajs-1954	149	2	(	(	PUNCT
iajs-1954	149	3	t	t	NOUN
iajs-1954	149	4	=	=	SYM
iajs-1954	149	5	uxand	uxand	NOUN
iajs-1954	149	6	dt	dt	X
iajs-1954	149	7	=	=	NOUN
iajs-1954	149	8	udx	udx	NOUN
iajs-1954	149	9	)	)	PUNCT
iajs-1954	149	10	,	,	PUNCT
iajs-1954	149	11	substituted	substitute	VERB
iajs-1954	149	12	it	it	PRON
iajs-1954	149	13	in	in	ADP
iajs-1954	149	14	equation	equation	NOUN
iajs-1954	149	15	(	(	PUNCT
iajs-1954	149	16	10	10	NUM
iajs-1954	149	17	)	)	PUNCT
iajs-1954	149	18	to	to	PART
iajs-1954	149	19	get	get	VERB
iajs-1954	149	20	(	(	PUNCT
iajs-1954	149	21	̅	̅	NOUN
iajs-1954	149	22	)	)	PUNCT
iajs-1954	149	23	∫	∫	PROPN
iajs-1954	149	24	(	(	PUNCT
iajs-1954	149	25	)	)	PUNCT
iajs-1954	149	26	∫	∫	PROPN
iajs-1954	149	27	(	(	PUNCT
iajs-1954	149	28	)	)	PUNCT
iajs-1954	149	29	̂	̂	X
iajs-1954	149	30	(	(	PUNCT
iajs-1954	149	31	)	)	PUNCT
iajs-1954	149	32	(	(	PUNCT
iajs-1954	149	33	)	)	PUNCT
iajs-1954	149	34	corollary3	corollary3	NOUN
iajs-1954	149	35	let	let	VERB
iajs-1954	149	36	f	f	PRON
iajs-1954	149	37	satisfy	satisfy	VERB
iajs-1954	149	38	the	the	DET
iajs-1954	149	39	conditions	condition	NOUN
iajs-1954	149	40	in	in	ADP
iajs-1954	149	41	theorem	theorem	NOUN
iajs-1954	149	42	(	(	PUNCT
iajs-1954	149	43	1)and	1)and	NUM
iajs-1954	149	44	has	have	AUX
iajs-1954	149	45	the	the	DET
iajs-1954	149	46	transform	transform	NOUN
iajs-1954	149	47	(	(	PUNCT
iajs-1954	149	48	̅	̅	NOUN
iajs-1954	149	49	)	)	PUNCT
iajs-1954	149	50	.	.	PUNCT
iajs-1954	150	1	then	then	ADV
iajs-1954	150	2	the	the	DET
iajs-1954	150	3	laplace	laplace	NOUN
iajs-1954	150	4	transform	transform	NOUN
iajs-1954	150	5	̂	̂	PROPN
iajs-1954	150	6	(	(	PUNCT
iajs-1954	150	7	)	)	PUNCT
iajs-1954	150	8	of	of	ADP
iajs-1954	150	9	f(t	f(t	PROPN
iajs-1954	150	10	)	)	PUNCT
iajs-1954	150	11	is	be	AUX
iajs-1954	150	12	given	give	VERB
iajs-1954	150	13	by	by	ADP
iajs-1954	150	14	̂	̂	PROPN
iajs-1954	150	15	(	(	PUNCT
iajs-1954	150	16	)	)	PUNCT
iajs-1954	150	17	(	(	PUNCT
iajs-1954	150	18	̅	̅	NOUN
iajs-1954	150	19	)	)	PUNCT
iajs-1954	150	20	(	(	PUNCT
iajs-1954	150	21	)	)	PUNCT
iajs-1954	150	22	the	the	DET
iajs-1954	150	23	advantages	advantage	NOUN
iajs-1954	150	24	of	of	ADP
iajs-1954	150	25	the	the	DET
iajs-1954	150	26	new	new	ADJ
iajs-1954	150	27	transform	transform	NOUN
iajs-1954	150	28	the	the	DET
iajs-1954	150	29	new	new	ADJ
iajs-1954	150	30	transform	transform	NOUN
iajs-1954	150	31	has	have	VERB
iajs-1954	150	32	many	many	ADJ
iajs-1954	150	33	interesting	interesting	ADJ
iajs-1954	150	34	properties	property	NOUN
iajs-1954	150	35	which	which	PRON
iajs-1954	150	36	make	make	VERB
iajs-1954	150	37	it	it	PRON
iajs-1954	150	38	rival	rival	ADJ
iajs-1954	150	39	to	to	ADP
iajs-1954	150	40	the	the	DET
iajs-1954	150	41	laplace	laplace	NOUN
iajs-1954	150	42	transform	transform	NOUN
iajs-1954	150	43	.	.	PUNCT
iajs-1954	151	1	some	some	PRON
iajs-1954	151	2	of	of	ADP
iajs-1954	151	3	these	these	DET
iajs-1954	151	4	properties	property	NOUN
iajs-1954	151	5	are	be	AUX
iajs-1954	151	6	:	:	PUNCT
iajs-1954	151	7	1	1	X
iajs-1954	151	8	.	.	PUNCT
iajs-1954	152	1	the	the	DET
iajs-1954	152	2	domain	domain	NOUN
iajs-1954	152	3	of	of	ADP
iajs-1954	152	4	the	the	DET
iajs-1954	152	5	new	new	ADJ
iajs-1954	152	6	transform	transform	NOUN
iajs-1954	152	7	is	be	AUX
iajs-1954	152	8	wider	wide	ADJ
iajs-1954	152	9	than	than	ADP
iajs-1954	152	10	or	or	CCONJ
iajs-1954	152	11	equal	equal	ADJ
iajs-1954	152	12	to	to	ADP
iajs-1954	152	13	the	the	DET
iajs-1954	152	14	domain	domain	NOUN
iajs-1954	152	15	of	of	ADP
iajs-1954	152	16	laplace	laplace	NOUN
iajs-1954	152	17	transform	transform	NOUN
iajs-1954	152	18	as	as	SCONJ
iajs-1954	152	19	illustrated	illustrate	VERB
iajs-1954	152	20	in	in	ADP
iajs-1954	152	21	the	the	DET
iajs-1954	152	22	table	table	NOUN
iajs-1954	152	23	(	(	PUNCT
iajs-1954	152	24	2	2	NUM
iajs-1954	152	25	)	)	PUNCT
iajs-1954	152	26	.	.	PUNCT
iajs-1954	153	1	this	this	DET
iajs-1954	153	2	feature	feature	NOUN
iajs-1954	153	3	makes	make	VERB
iajs-1954	153	4	the	the	DET
iajs-1954	153	5	new	new	ADJ
iajs-1954	153	6	transform	transform	NOUN
iajs-1954	153	7	more	more	ADV
iajs-1954	153	8	widely	widely	ADV
iajs-1954	153	9	used	use	VERB
iajs-1954	153	10	in	in	ADP
iajs-1954	153	11	problems	problem	NOUN
iajs-1954	153	12	.	.	PUNCT
iajs-1954	154	1	2	2	X
iajs-1954	154	2	.	.	X
iajs-1954	154	3	from	from	ADP
iajs-1954	154	4	section	section	NOUN
iajs-1954	154	5	8	8	NUM
iajs-1954	154	6	the	the	DET
iajs-1954	154	7	new	new	ADJ
iajs-1954	154	8	transform	transform	NOUN
iajs-1954	154	9	has	have	VERB
iajs-1954	154	10	the	the	DET
iajs-1954	154	11	duality	duality	NOUN
iajs-1954	154	12	with	with	ADP
iajs-1954	154	13	laplace	laplace	NOUN
iajs-1954	154	14	transform	transform	NOUN
iajs-1954	154	15	,	,	PUNCT
iajs-1954	154	16	hence	hence	ADV
iajs-1954	154	17	,	,	PUNCT
iajs-1954	154	18	that	that	PRON
iajs-1954	154	19	needs	need	VERB
iajs-1954	154	20	a	a	DET
iajs-1954	154	21	wider	wide	ADJ
iajs-1954	154	22	domain	domain	NOUN
iajs-1954	154	23	.	.	PUNCT
iajs-1954	155	1	3	3	X
iajs-1954	155	2	.	.	X
iajs-1954	155	3	the	the	DET
iajs-1954	155	4	new	new	ADJ
iajs-1954	155	5	transform	transform	NOUN
iajs-1954	155	6	can	can	AUX
iajs-1954	155	7	solve	solve	VERB
iajs-1954	155	8	all	all	DET
iajs-1954	155	9	the	the	DET
iajs-1954	155	10	problems	problem	NOUN
iajs-1954	155	11	which	which	PRON
iajs-1954	155	12	would	would	AUX
iajs-1954	155	13	be	be	AUX
iajs-1954	155	14	solved	solve	VERB
iajs-1954	155	15	by	by	ADP
iajs-1954	155	16	laplace	laplace	NOUN
iajs-1954	155	17	transform	transform	NOUN
iajs-1954	155	18	.	.	PUNCT
iajs-1954	156	1	4	4	X
iajs-1954	156	2	.	.	X
iajs-1954	156	3	the	the	DET
iajs-1954	156	4	unit	unit	NOUN
iajs-1954	156	5	step	step	NOUN
iajs-1954	156	6	function	function	NOUN
iajs-1954	156	7	in	in	ADP
iajs-1954	156	8	the	the	DET
iajs-1954	156	9	t	t	NOUN
iajs-1954	156	10	-	-	PUNCT
iajs-1954	156	11	domain	domain	NOUN
iajs-1954	156	12	is	be	AUX
iajs-1954	156	13	transformed	transform	VERB
iajs-1954	156	14	to	to	ADP
iajs-1954	156	15	unity	unity	NOUN
iajs-1954	156	16	in	in	ADP
iajs-1954	156	17	the	the	DET
iajs-1954	156	18	u	u	NOUN
iajs-1954	156	19	-	-	NOUN
iajs-1954	156	20	domain	domain	NOUN
iajs-1954	156	21	.	.	PUNCT
iajs-1954	157	1	5	5	X
iajs-1954	157	2	.	.	X
iajs-1954	157	3	the	the	DET
iajs-1954	157	4	differentiation	differentiation	NOUN
iajs-1954	157	5	and	and	CCONJ
iajs-1954	157	6	integration	integration	NOUN
iajs-1954	157	7	in	in	ADP
iajs-1954	157	8	the	the	PRON
iajs-1954	157	9	t‐domain	t‐domain	X
iajs-1954	157	10	are	be	AUX
iajs-1954	157	11	equivalent	equivalent	ADJ
iajs-1954	157	12	to	to	ADP
iajs-1954	157	13	multiplication	multiplication	NOUN
iajs-1954	157	14	and	and	CCONJ
iajs-1954	157	15	division	division	NOUN
iajs-1954	157	16	of	of	ADP
iajs-1954	157	17	the	the	DET
iajs-1954	157	18	transformed	transform	VERB
iajs-1954	157	19	function	function	NOUN
iajs-1954	157	20	f(u	f(u	PROPN
iajs-1954	157	21	)	)	PUNCT
iajs-1954	157	22	by	by	ADP
iajs-1954	157	23	u	u	NOUN
iajs-1954	157	24	in	in	ADP
iajs-1954	157	25	the	the	DET
iajs-1954	157	26	u‐domain	u‐domain	PROPN
iajs-1954	157	27	.	.	PROPN
iajs-1954	157	28	6	6	NUM
iajs-1954	157	29	.	.	PUNCT
iajs-1954	157	30	by	by	ADP
iajs-1954	157	31	theorem	theorem	VERB
iajs-1954	157	32	2(linear	2(linear	NUM
iajs-1954	157	33	combination	combination	NOUN
iajs-1954	157	34	)	)	PUNCT
iajs-1954	157	35	and	and	CCONJ
iajs-1954	157	36	example	example	NOUN
iajs-1954	157	37	(	(	PUNCT
iajs-1954	157	38	1	1	X
iajs-1954	157	39	)	)	PUNCT
iajs-1954	157	40	we	we	PRON
iajs-1954	157	41	have	have	VERB
iajs-1954	157	42	that	that	PRON
iajs-1954	157	43	for	for	ADP
iajs-1954	157	44	any	any	DET
iajs-1954	157	45	constant	constant	ADJ
iajs-1954	157	46	ar	ar	NOUN
iajs-1954	157	47	,	,	PUNCT
iajs-1954	157	48	*	*	PUNCT
iajs-1954	158	1	+	+	PUNCT
iajs-1954	158	2	*	*	PUNCT
iajs-1954	158	3	+	+	CCONJ
iajs-1954	158	4	,	,	PUNCT
iajs-1954	158	5	and	and	CCONJ
iajs-1954	158	6	hence	hence	ADV
iajs-1954	158	7	,	,	PUNCT
iajs-1954	158	8	*	*	PUNCT
iajs-1954	158	9	+	+	CCONJ
iajs-1954	158	10	,	,	PUNCT
iajs-1954	158	11	that	that	ADV
iajs-1954	158	12	is	is	ADV
iajs-1954	158	13	,	,	PUNCT
iajs-1954	158	14	we	we	PRON
iajs-1954	158	15	do	do	AUX
iajs-1954	158	16	n’t	not	PART
iajs-1954	158	17	have	have	VERB
iajs-1954	158	18	any	any	DET
iajs-1954	158	19	problem	problem	NOUN
iajs-1954	158	20	when	when	SCONJ
iajs-1954	158	21	we	we	PRON
iajs-1954	158	22	deal	deal	VERB
iajs-1954	158	23	with	with	ADP
iajs-1954	158	24	the	the	DET
iajs-1954	158	25	constant	constant	ADJ
iajs-1954	158	26	term	term	NOUN
iajs-1954	158	27	(	(	PUNCT
iajs-1954	158	28	the	the	DET
iajs-1954	158	29	constant	constant	ADJ
iajs-1954	158	30	with	with	ADP
iajs-1954	158	31	respect	respect	NOUN
iajs-1954	158	32	to	to	ADP
iajs-1954	158	33	the	the	DET
iajs-1954	158	34	parameter	parameter	NOUN
iajs-1954	158	35	u	u	PROPN
iajs-1954	158	36	)	)	PUNCT
iajs-1954	158	37	.	.	PUNCT
iajs-1954	159	1	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	PART
iajs-1954	159	2	mathmatics	mathmatic	NOUN
iajs-1954	159	3	|	|	ADV
iajs-1954	159	4	161	161	NUM
iajs-1954	159	5	2018	2018	NUM
iajs-1954	159	6	(	(	PUNCT
iajs-1954	159	7	عام	عام	ADP
iajs-1954	159	8	2العدد	2العدد	NUM
iajs-1954	159	9	)	)	PUNCT
iajs-1954	159	10	31المجلد	31المجلد	NUM
iajs-1954	160	1	مجلة	مجلة	VERB
iajs-1954	160	2	إبن	إبن	VERB
iajs-1954	160	3	الهيثم	الهيثم	ADJ
iajs-1954	160	4	للعلوم	للعلوم	NOUN
iajs-1954	160	5	الصرفة	الصرفة	NOUN
iajs-1954	161	1	و	و	PRON
iajs-1954	161	2	التطبيقية	التطبيقية	ADJ
iajs-1954	161	3	ibn	ibn	PROPN
iajs-1954	161	4	al	al	PROPN
iajs-1954	161	5	-	-	PUNCT
iajs-1954	161	6	haitham	haitham	PROPN
iajs-1954	161	7	jour	jour	X
iajs-1954	161	8	.	.	PROPN
iajs-1954	161	9	for	for	ADP
iajs-1954	161	10	pure	pure	ADJ
iajs-1954	161	11	&	&	CCONJ
iajs-1954	161	12	appl	appl	PROPN
iajs-1954	161	13	.	.	PUNCT
iajs-1954	162	1	sci	sci	PROPN
iajs-1954	162	2	.	.	PUNCT
iajs-1954	162	3	vol	vol	NOUN
iajs-1954	162	4	.	.	PROPN
iajs-1954	163	1	31	31	NUM
iajs-1954	163	2	(	(	PUNCT
iajs-1954	163	3	2	2	NUM
iajs-1954	163	4	)	)	PUNCT
iajs-1954	163	5	2018	2018	NUM
iajs-1954	163	6	conclusion	conclusion	NOUN
iajs-1954	163	7	the	the	DET
iajs-1954	163	8	new	new	ADJ
iajs-1954	163	9	transform	transform	NOUN
iajs-1954	163	10	has	have	VERB
iajs-1954	163	11	some	some	DET
iajs-1954	163	12	strength	strength	NOUN
iajs-1954	163	13	points	point	NOUN
iajs-1954	163	14	for	for	ADP
iajs-1954	163	15	feature	feature	NOUN
iajs-1954	163	16	among	among	ADP
iajs-1954	163	17	others	other	NOUN
iajs-1954	163	18	transform	transform	VERB
iajs-1954	163	19	such	such	ADJ
iajs-1954	163	20	that	that	SCONJ
iajs-1954	163	21	:	:	PUNCT
iajs-1954	163	22	the	the	DET
iajs-1954	163	23	new	new	ADJ
iajs-1954	163	24	transform	transform	NOUN
iajs-1954	163	25	easier	easy	ADJ
iajs-1954	163	26	than	than	ADP
iajs-1954	163	27	the	the	DET
iajs-1954	163	28	laplace	laplace	NOUN
iajs-1954	163	29	transform	transform	NOUN
iajs-1954	163	30	for	for	SCONJ
iajs-1954	163	31	beginners	beginner	NOUN
iajs-1954	163	32	to	to	PART
iajs-1954	163	33	understand	understand	VERB
iajs-1954	163	34	and	and	CCONJ
iajs-1954	163	35	use	use	VERB
iajs-1954	163	36	.	.	PUNCT
iajs-1954	164	1	itcan	itcan	PROPN
iajs-1954	164	2	be	be	AUX
iajs-1954	164	3	used	use	VERB
iajs-1954	164	4	to	to	PART
iajs-1954	164	5	solve	solve	VERB
iajs-1954	164	6	problems	problem	NOUN
iajs-1954	164	7	without	without	ADP
iajs-1954	164	8	resorting	resort	VERB
iajs-1954	164	9	to	to	ADP
iajs-1954	164	10	the	the	DET
iajs-1954	164	11	frequency	frequency	NOUN
iajs-1954	164	12	domain	domain	NOUN
iajs-1954	164	13	.	.	PUNCT
iajs-1954	165	1	especially	especially	ADV
iajs-1954	165	2	,	,	PUNCT
iajs-1954	165	3	with	with	ADP
iajs-1954	165	4	respect	respect	NOUN
iajs-1954	165	5	to	to	ADP
iajs-1954	165	6	applications	application	NOUN
iajs-1954	165	7	in	in	ADP
iajs-1954	165	8	problems	problem	NOUN
iajs-1954	165	9	with	with	ADP
iajs-1954	165	10	physical	physical	ADJ
iajs-1954	165	11	dimensions.we	dimensions.we	PRON
iajs-1954	165	12	showed	show	VERB
iajs-1954	165	13	it	it	PRON
iajs-1954	165	14	to	to	PART
iajs-1954	165	15	be	be	AUX
iajs-1954	165	16	the	the	DET
iajs-1954	165	17	theoretical	theoretical	ADJ
iajs-1954	165	18	dual	dual	ADJ
iajs-1954	165	19	to	to	ADP
iajs-1954	165	20	the	the	DET
iajs-1954	165	21	laplace	laplace	NOUN
iajs-1954	165	22	transform	transform	NOUN
iajs-1954	165	23	,	,	PUNCT
iajs-1954	165	24	and	and	CCONJ
iajs-1954	165	25	hence	hence	ADV
iajs-1954	165	26	ought	ought	AUX
iajs-1954	165	27	to	to	PART
iajs-1954	165	28	rival	rival	VERB
iajs-1954	165	29	it	it	PRON
iajs-1954	165	30	in	in	ADP
iajs-1954	165	31	solving	solve	VERB
iajs-1954	165	32	intricate	intricate	ADJ
iajs-1954	165	33	problems	problem	NOUN
iajs-1954	165	34	in	in	ADP
iajs-1954	165	35	engineering	engineering	NOUN
iajs-1954	165	36	mathematics	mathematic	NOUN
iajs-1954	165	37	and	and	CCONJ
iajs-1954	165	38	applied	apply	VERB
iajs-1954	165	39	science.also	science.also	NUM
iajs-1954	165	40	,	,	PUNCT
iajs-1954	165	41	the	the	DET
iajs-1954	165	42	new	new	ADJ
iajs-1954	165	43	transform	transform	NOUN
iajs-1954	165	44	is	be	AUX
iajs-1954	165	45	a	a	DET
iajs-1954	165	46	convenient	convenient	ADJ
iajs-1954	165	47	tool	tool	NOUN
iajs-1954	165	48	for	for	ADP
iajs-1954	165	49	solving	solve	VERB
iajs-1954	165	50	differential	differential	ADJ
iajs-1954	165	51	equations	equation	NOUN
iajs-1954	165	52	in	in	ADP
iajs-1954	165	53	the	the	DET
iajs-1954	165	54	time	time	NOUN
iajs-1954	165	55	domain	domain	NOUN
iajs-1954	165	56	without	without	ADP
iajs-1954	165	57	the	the	DET
iajs-1954	165	58	need	need	NOUN
iajs-1954	165	59	for	for	ADP
iajs-1954	165	60	performing	perform	VERB
iajs-1954	165	61	its	its	PRON
iajs-1954	165	62	inverse.the	inverse.the	DET
iajs-1954	165	63	connection	connection	NOUN
iajs-1954	165	64	of	of	ADP
iajs-1954	165	65	the	the	DET
iajs-1954	165	66	new	new	ADJ
iajs-1954	165	67	transform	transform	NOUN
iajs-1954	165	68	with	with	ADP
iajs-1954	165	69	the	the	DET
iajs-1954	165	70	laplace	laplace	NOUN
iajs-1954	165	71	transform	transform	NOUN
iajs-1954	165	72	goes	go	VERB
iajs-1954	165	73	much	much	ADV
iajs-1954	165	74	deeper.we	deeper.we	NOUN
iajs-1954	165	75	also	also	ADV
iajs-1954	165	76	present	present	VERB
iajs-1954	165	77	many	many	ADJ
iajs-1954	165	78	of	of	ADP
iajs-1954	165	79	the	the	DET
iajs-1954	165	80	new	new	ADJ
iajs-1954	165	81	transform	transform	NOUN
iajs-1954	165	82	properties	property	NOUN
iajs-1954	165	83	that	that	PRON
iajs-1954	165	84	make	make	VERB
iajs-1954	165	85	it	it	PRON
iajs-1954	165	86	uniquely	uniquely	ADV
iajs-1954	165	87	qualified	qualified	ADJ
iajs-1954	165	88	to	to	PART
iajs-1954	165	89	address	address	VERB
iajs-1954	165	90	and	and	CCONJ
iajs-1954	165	91	solve	solve	VERB
iajs-1954	165	92	some	some	DET
iajs-1954	165	93	applied	apply	VERB
iajs-1954	165	94	problems	problem	NOUN
iajs-1954	165	95	,	,	PUNCT
iajs-1954	165	96	especially	especially	ADV
iajs-1954	165	97	ones	one	NOUN
iajs-1954	165	98	in	in	ADP
iajs-1954	165	99	which	which	PRON
iajs-1954	165	100	the	the	DET
iajs-1954	165	101	units	unit	NOUN
iajs-1954	165	102	of	of	ADP
iajs-1954	165	103	the	the	DET
iajs-1954	165	104	problem	problem	NOUN
iajs-1954	165	105	must	must	AUX
iajs-1954	165	106	be	be	AUX
iajs-1954	165	107	preserved	preserve	VERB
iajs-1954	165	108	.	.	PUNCT
iajs-1954	166	1	table	table	NOUN
iajs-1954	166	2	(	(	PUNCT
iajs-1954	166	3	2	2	NUM
iajs-1954	166	4	):	):	PUNCT
iajs-1954	166	5	illustrates	illustrate	VERB
iajs-1954	166	6	the	the	DET
iajs-1954	166	7	domain	domain	NOUN
iajs-1954	166	8	of	of	ADP
iajs-1954	166	9	laplace	laplace	NOUN
iajs-1954	166	10	and	and	CCONJ
iajs-1954	166	11	new	new	ADJ
iajs-1954	166	12	transform	transform	NOUN
iajs-1954	166	13	references	reference	NOUN
iajs-1954	166	14	1	1	NUM
iajs-1954	166	15	.	.	PUNCT
iajs-1954	166	16	abdelbagy	abdelbagy	PROPN
iajs-1954	166	17	,	,	PUNCT
iajs-1954	166	18	a.	a.	NOUN
iajs-1954	166	19	alshikhand	alshikhand	NOUN
iajs-1954	166	20	and	and	CCONJ
iajs-1954	166	21	mohand	mohand	PROPN
iajs-1954	166	22	m.	m.	NOUN
iajs-1954	166	23	abdelrahim	abdelrahim	PROPN
iajs-1954	166	24	.	.	PUNCT
iajs-1954	167	1	mahgoub	mahgoub	NOUN
iajs-1954	167	2	,	,	PUNCT
iajs-1954	167	3	2016."solving	2016."solve	VERB
iajs-1954	167	4	ordinary	ordinary	ADJ
iajs-1954	167	5	differential	differential	ADJ
iajs-1954	167	6	equations	equation	NOUN
iajs-1954	167	7	with	with	ADP
iajs-1954	167	8	variable	variable	ADJ
iajs-1954	167	9	coefficients	coefficient	NOUN
iajs-1954	167	10	"	"	PUNCT
iajs-1954	167	11	,	,	PUNCT
iajs-1954	167	12	journal	journal	NOUN
iajs-1954	167	13	of	of	ADP
iajs-1954	167	14	progressive	progressive	ADJ
iajs-1954	167	15	research	research	NOUN
iajs-1954	167	16	in	in	ADP
iajs-1954	167	17	mathematics(jprm	mathematics(jprm	PROPN
iajs-1954	167	18	)	)	PUNCT
iajs-1954	167	19	,	,	PUNCT
iajs-1954	167	20	vol	vol	NOUN
iajs-1954	167	21	.	.	PROPN
iajs-1954	168	1	10	10	NUM
iajs-1954	168	2	,	,	PUNCT
iajs-1954	168	3	no	no	INTJ
iajs-1954	168	4	.	.	NOUN
iajs-1954	168	5	1	1	NUM
iajs-1954	168	6	,	,	PUNCT
iajs-1954	168	7	pp:15	pp:15	PROPN
iajs-1954	168	8	-	-	NOUN
iajs-1954	168	9	22	22	NUM
iajs-1954	168	10	.	.	PUNCT
iajs-1954	169	1	2	2	X
iajs-1954	169	2	.	.	X
iajs-1954	169	3	luma	luma	PROPN
iajs-1954	169	4	naji	naji	PROPN
iajs-1954	169	5	mohammed	mohammed	PROPN
iajs-1954	169	6	tawfiqa	tawfiqa	PROPN
iajs-1954	169	7	and	and	CCONJ
iajs-1954	169	8	alaa	alaa	PROPN
iajs-1954	169	9	k.	k.	PROPN
iajs-1954	169	10	jabberb	jabberb	PROPN
iajs-1954	169	11	,	,	PUNCT
iajs-1954	169	12	(	(	PUNCT
iajs-1954	169	13	2017).solve	2017).solve	NUM
iajs-1954	169	14	the	the	DET
iajs-1954	169	15	groundwater	groundwater	NOUN
iajs-1954	169	16	model	model	NOUN
iajs-1954	169	17	equation	equation	NOUN
iajs-1954	169	18	using	use	VERB
iajs-1954	169	19	fourier	fourier	NOUN
iajs-1954	169	20	transforms	transform	VERB
iajs-1954	169	21	method	method	NOUN
iajs-1954	169	22	,	,	PUNCT
iajs-1954	169	23	int	int	NOUN
iajs-1954	169	24	.	.	PUNCT
iajs-1954	170	1	j.	j.	PROPN
iajs-1954	170	2	adv	adv	PROPN
iajs-1954	170	3	.	.	PUNCT
iajs-1954	170	4	appl	appl	PROPN
iajs-1954	170	5	.	.	PROPN
iajs-1954	170	6	math	math	PROPN
iajs-1954	170	7	.	.	PUNCT
iajs-1954	171	1	and	and	CCONJ
iajs-1954	171	2	mech	mech	NOUN
iajs-1954	171	3	.	.	PUNCT
iajs-1954	172	1	5(1	5(1	NUM
iajs-1954	172	2	)	)	PUNCT
iajs-1954	172	3	,	,	PUNCT
iajs-1954	172	4	75	75	NUM
iajs-1954	172	5	–	–	PUNCT
iajs-1954	172	6	80	80	NUM
iajs-1954	172	7	.	.	X
iajs-1954	173	1	3	3	X
iajs-1954	173	2	.	.	X
iajs-1954	173	3	debnath	debnath	PROPN
iajs-1954	173	4	,	,	PUNCT
iajs-1954	173	5	lokenath	lokenath	NOUN
iajs-1954	173	6	and	and	CCONJ
iajs-1954	173	7	dambarubhatta	dambarubhatta	PROPN
iajs-1954	173	8	,	,	PUNCT
iajs-1954	173	9	(	(	PUNCT
iajs-1954	173	10	2014)."integral	2014)."integral	NOUN
iajs-1954	173	11	transforms	transform	VERB
iajs-1954	173	12	and	and	CCONJ
iajs-1954	173	13	their	their	PRON
iajs-1954	173	14	applications	application	NOUN
iajs-1954	173	15	"	"	PUNCT
iajs-1954	173	16	,	,	PUNCT
iajs-1954	173	17	book	book	NOUN
iajs-1954	173	18	,	,	PUNCT
iajs-1954	173	19	third	third	ADJ
iajs-1954	173	20	edition	edition	NOUN
iajs-1954	173	21	,	,	PUNCT
iajs-1954	173	22	crc	crc	NOUN
iajs-1954	173	23	press	press	NOUN
iajs-1954	173	24	.	.	PUNCT
iajs-1954	174	1	f(t	f(t	NOUN
iajs-1954	174	2	)	)	PUNCT
iajs-1954	174	3	laplace	laplace	NOUN
iajs-1954	174	4	new	new	ADJ
iajs-1954	174	5	transform	transform	NOUN
iajs-1954	174	6	[	[	NOUN
iajs-1954	174	7	l(f)](s	l(f)](s	NOUN
iajs-1954	174	8	)	)	PUNCT
iajs-1954	174	9	domain	domain	NOUN
iajs-1954	174	10	[	[	X
iajs-1954	174	11	ŧ(f)](u	ŧ(f)](u	ADV
iajs-1954	174	12	)	)	PUNCT
iajs-1954	174	13	domain	domain	NOUN
iajs-1954	174	14	t	t	NOUN
iajs-1954	174	15	n	n	PRON
iajs-1954	174	16	n=0,1,2	n=0,1,2	NUM
iajs-1954	174	17	,	,	PUNCT
iajs-1954	174	18	…	…	PUNCT
iajs-1954	174	19	n!/s	n!/s	PROPN
iajs-1954	174	20	n+1	n+1	NUM
iajs-1954	174	21	s>0	s>0	PROPN
iajs-1954	174	22	n!/u	n!/u	PROPN
iajs-1954	174	23	n	n	PROPN
iajs-1954	174	24	u0	u0	PROPN
iajs-1954	174	25	t	t	PROPN
iajs-1954	174	26	a	a	DET
iajs-1954	174	27	a>0	a>0	NOUN
iajs-1954	174	28	(a+1)/s	(a+1)/s	PROPN
iajs-1954	175	1	a+1	a+1	DET
iajs-1954	175	2	s>0	s>0	PROPN
iajs-1954	175	3	(a+1)/u	(a+1)/u	PROPN
iajs-1954	175	4	a	a	DET
iajs-1954	175	5	u0	u0	PROPN
iajs-1954	175	6	e	e	PROPN
iajs-1954	175	7	at	at	ADP
iajs-1954	175	8	1/(s	1/(s	PROPN
iajs-1954	175	9	-	-	PUNCT
iajs-1954	175	10	a	a	NOUN
iajs-1954	175	11	)	)	PUNCT
iajs-1954	175	12	s	s	PROPN
iajs-1954	175	13	>	>	X
iajs-1954	175	14	a	a	DET
iajs-1954	175	15	u/(u	u/(u	PROPN
iajs-1954	175	16	-	-	PUNCT
iajs-1954	175	17	a	a	NOUN
iajs-1954	175	18	)	)	PUNCT
iajs-1954	175	19	ur/[0,a	ur/[0,a	NOUN
iajs-1954	175	20	]	]	X
iajs-1954	175	21	if	if	SCONJ
iajs-1954	175	22	a0ur/[a,0	a0ur/[a,0	NOUN
iajs-1954	175	23	]	]	X
iajs-1954	175	24	if	if	SCONJ
iajs-1954	175	25	a<0	a<0	PROPN
iajs-1954	175	26	sin(at	sin(at	PROPN
iajs-1954	175	27	)	)	PUNCT
iajs-1954	175	28	a/(s	a/(s	NOUN
iajs-1954	175	29	2	2	NUM
iajs-1954	175	30	+	+	NOUN
iajs-1954	175	31	a	a	DET
iajs-1954	175	32	2	2	NUM
iajs-1954	175	33	)	)	PUNCT
iajs-1954	175	34	s>0	s>0	NOUN
iajs-1954	175	35	au/(u	au/(u	PROPN
iajs-1954	175	36	2	2	NUM
iajs-1954	175	37	+	+	NOUN
iajs-1954	175	38	a	a	DET
iajs-1954	175	39	2	2	NUM
iajs-1954	175	40	)	)	PUNCT
iajs-1954	175	41	u0	u0	PROPN
iajs-1954	175	42	cos(at	cos(at	NOUN
iajs-1954	175	43	)	)	PUNCT
iajs-1954	175	44	s/(s	s/(s	NOUN
iajs-1954	175	45	2	2	NUM
iajs-1954	176	1	+	+	NOUN
iajs-1954	176	2	a	a	DET
iajs-1954	176	3	2	2	NUM
iajs-1954	176	4	)	)	PUNCT
iajs-1954	176	5	s>0	s>0	NOUN
iajs-1954	176	6	u	u	NOUN
iajs-1954	176	7	2	2	NUM
iajs-1954	176	8	/(u	/(u	SYM
iajs-1954	176	9	2	2	NUM
iajs-1954	176	10	+	+	NOUN
iajs-1954	176	11	a	a	DET
iajs-1954	176	12	2	2	NUM
iajs-1954	176	13	)	)	PUNCT
iajs-1954	176	14	u0	u0	PROPN
iajs-1954	176	15	sinh(at	sinh(at	PROPN
iajs-1954	176	16	)	)	PUNCT
iajs-1954	176	17	a/(s	a/(s	ADV
iajs-1954	176	18	2	2	NUM
iajs-1954	176	19	-a	-a	SYM
iajs-1954	176	20	2	2	NUM
iajs-1954	176	21	)	)	PUNCT
iajs-1954	176	22	s>|a|	s>|a|	NOUN
iajs-1954	176	23	au/(u	au/(u	NOUN
iajs-1954	176	24	2	2	NUM
iajs-1954	176	25	+	+	NOUN
iajs-1954	176	26	a	a	DET
iajs-1954	176	27	2	2	NUM
iajs-1954	176	28	)	)	PUNCT
iajs-1954	176	29	|u|>|a|	|u|>|a|	PROPN
iajs-1954	176	30	cosh(at	cosh(at	NOUN
iajs-1954	176	31	)	)	PUNCT
iajs-1954	176	32	s/(s	s/(s	NOUN
iajs-1954	176	33	2	2	NUM
iajs-1954	176	34	-a	-a	SYM
iajs-1954	176	35	2	2	NUM
iajs-1954	176	36	)	)	PUNCT
iajs-1954	176	37	s>|a|	s>|a|	NOUN
iajs-1954	176	38	u	u	NOUN
iajs-1954	176	39	2	2	NUM
iajs-1954	176	40	/(u	/(u	SYM
iajs-1954	176	41	2	2	NUM
iajs-1954	176	42	-a	-a	SYM
iajs-1954	176	43	2	2	NUM
iajs-1954	176	44	)	)	PUNCT
iajs-1954	176	45	|u|>|a|	|u|>|a|	ADJ
iajs-1954	176	46	ua(t)=u(ta)=h(t	ua(t)=u(ta)=h(t	NOUN
iajs-1954	176	47	-	-	PUNCT
iajs-1954	176	48	a	a	NOUN
iajs-1954	176	49	)	)	PUNCT
iajs-1954	176	50	e	e	NOUN
iajs-1954	176	51	-as	-as	X
iajs-1954	176	52	/s	/s	PUNCT
iajs-1954	176	53	s>0	s>0	PROPN
iajs-1954	176	54	e	e	X
iajs-1954	176	55	-au	-au	PROPN
iajs-1954	176	56	u>0	u>0	PROPN
iajs-1954	176	57	(t	(t	NOUN
iajs-1954	176	58	-	-	NOUN
iajs-1954	176	59	a	a	NOUN
iajs-1954	176	60	)	)	PUNCT
iajs-1954	176	61	e	e	NOUN
iajs-1954	176	62	-as	-as	ADP
iajs-1954	176	63	s>0	s>0	PROPN
iajs-1954	176	64	e	e	PROPN
iajs-1954	176	65	-au	-au	PROPN
iajs-1954	176	66	/u	/u	PUNCT
iajs-1954	176	67	u>0	u>0	PROPN
iajs-1954	176	68	ln(at	ln(at	PROPN
iajs-1954	176	69	)	)	PUNCT
iajs-1954	176	70	a>0	a>0	NOUN
iajs-1954	176	71	(	(	PUNCT
iajs-1954	176	72	ln(a	ln(a	NOUN
iajs-1954	176	73	/	/	SYM
iajs-1954	176	74	s)-γ	s)-γ	NOUN
iajs-1954	176	75	)	)	PUNCT
iajs-1954	176	76	/s	/s	PUNCT
iajs-1954	176	77	s>0	s>0	INTJ
iajs-1954	176	78	ln(a	ln(a	ADP
iajs-1954	176	79	/	/	SYM
iajs-1954	176	80	u)-γ	u)-γ	NOUN
iajs-1954	176	81	u>0	u>0	X
iajs-1954	176	82	∫	∫	NOUN
iajs-1954	176	83	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	PART
iajs-1954	176	84	mathmatics	mathmatic	NOUN
iajs-1954	176	85	|	|	ADV
iajs-1954	176	86	162	162	NUM
iajs-1954	176	87	2018	2018	NUM
iajs-1954	176	88	(	(	PUNCT
iajs-1954	176	89	عام	عام	ADP
iajs-1954	176	90	2العدد	2العدد	NUM
iajs-1954	176	91	)	)	PUNCT
iajs-1954	176	92	31المجلد	31المجلد	NUM
iajs-1954	176	93	مجلة	مجلة	VERB
iajs-1954	176	94	إبن	إبن	VERB
iajs-1954	176	95	الهيثم	الهيثم	ADJ
iajs-1954	176	96	للعلوم	للعلوم	NOUN
iajs-1954	176	97	الصرفة	الصرفة	NOUN
iajs-1954	177	1	و	و	PRON
iajs-1954	177	2	التطبيقية	التطبيقية	ADJ
iajs-1954	177	3	ibn	ibn	PROPN
iajs-1954	177	4	al	al	PROPN
iajs-1954	177	5	-	-	PUNCT
iajs-1954	177	6	haitham	haitham	PROPN
iajs-1954	177	7	jour	jour	X
iajs-1954	177	8	.	.	PROPN
iajs-1954	177	9	for	for	ADP
iajs-1954	177	10	pure	pure	ADJ
iajs-1954	177	11	&	&	CCONJ
iajs-1954	177	12	appl	appl	PROPN
iajs-1954	177	13	.	.	PUNCT
iajs-1954	178	1	sci	sci	PROPN
iajs-1954	178	2	.	.	PUNCT
iajs-1954	178	3	vol	vol	NOUN
iajs-1954	178	4	.	.	PROPN
iajs-1954	179	1	31	31	NUM
iajs-1954	179	2	(	(	PUNCT
iajs-1954	179	3	2	2	NUM
iajs-1954	179	4	)	)	PUNCT
iajs-1954	179	5	2018	2018	NUM
iajs-1954	179	6	4	4	NUM
iajs-1954	179	7	.	.	PUNCT
iajs-1954	179	8	enesiz	enesiz	PROPN
iajs-1954	179	9	,	,	PUNCT
iajs-1954	179	10	y.	y.	PROPN
iajs-1954	179	11	c.	c.	PROPN
iajs-1954	179	12	and	and	CCONJ
iajs-1954	179	13	a.	a.	NOUN
iajs-1954	179	14	kurt	kurt	PROPN
iajs-1954	179	15	,	,	PUNCT
iajs-1954	179	16	(	(	PUNCT
iajs-1954	179	17	2016)."new	2016)."new	NUM
iajs-1954	179	18	fractional	fractional	ADJ
iajs-1954	179	19	complex	complex	ADJ
iajs-1954	179	20	transform	transform	NOUN
iajs-1954	179	21	for	for	ADP
iajs-1954	179	22	conformable	conformable	ADJ
iajs-1954	179	23	fractional	fractional	ADJ
iajs-1954	179	24	partial	partial	ADJ
iajs-1954	179	25	differential	differential	NOUN
iajs-1954	179	26	equations",jamsi	equations",jamsi	NOUN
iajs-1954	179	27	,	,	PUNCT
iajs-1954	179	28	vol	vol	NOUN
iajs-1954	179	29	.	.	PROPN
iajs-1954	179	30	12	12	NUM
iajs-1954	179	31	,	,	PUNCT
iajs-1954	179	32	no	no	INTJ
iajs-1954	179	33	.	.	NOUN
iajs-1954	180	1	2	2	NUM
iajs-1954	180	2	.	.	NUM
iajs-1954	180	3	5	5	NUM
iajs-1954	180	4	.	.	NOUN
iajs-1954	180	5	bulnes	bulne	VERB
iajs-1954	180	6	francisco	francisco	PROPN
iajs-1954	180	7	,	,	PUNCT
iajs-1954	180	8	(	(	PUNCT
iajs-1954	180	9	2015)."mathematical	2015)."mathematical	ADJ
iajs-1954	180	10	electrodynamics	electrodynamic	NOUN
iajs-1954	180	11	:	:	PUNCT
iajs-1954	180	12	groups	group	NOUN
iajs-1954	180	13	,	,	PUNCT
iajs-1954	180	14	cohomology	cohomology	NOUN
iajs-1954	180	15	classes	class	NOUN
iajs-1954	180	16	,	,	PUNCT
iajs-1954	180	17	unitary	unitary	ADJ
iajs-1954	180	18	representations	representation	NOUN
iajs-1954	180	19	,	,	PUNCT
iajs-1954	180	20	orbits	orbit	NOUN
iajs-1954	180	21	and	and	CCONJ
iajs-1954	180	22	integral	integral	ADJ
iajs-1954	180	23	transforms	transform	NOUN
iajs-1954	180	24	in	in	ADP
iajs-1954	180	25	electro	electro	ADJ
iajs-1954	180	26	-	-	PUNCT
iajs-1954	180	27	physics	physics	NOUN
iajs-1954	180	28	"	"	PUNCT
iajs-1954	180	29	,	,	PUNCT
iajs-1954	180	30	american	american	PROPN
iajs-1954	180	31	journal	journal	PROPN
iajs-1954	180	32	of	of	ADP
iajs-1954	180	33	electromagnetics	electromagnetic	NOUN
iajs-1954	180	34	and	and	CCONJ
iajs-1954	180	35	applications	application	NOUN
iajs-1954	180	36	,	,	PUNCT
iajs-1954	180	37	vol	vol	NOUN
iajs-1954	180	38	.	.	PROPN
iajs-1954	181	1	3	3	NUM
iajs-1954	181	2	,	,	PUNCT
iajs-1954	181	3	no	no	INTJ
iajs-1954	181	4	.	.	NOUN
iajs-1954	181	5	6	6	NUM
iajs-1954	181	6	,	,	PUNCT
iajs-1954	181	7	pp	pp	ADV
iajs-1954	181	8	43	43	NUM
iajs-1954	181	9	-	-	SYM
iajs-1954	181	10	52	52	NUM
iajs-1954	181	11	.	.	PUNCT
iajs-1954	182	1	6	6	NUM
iajs-1954	182	2	.	.	X
iajs-1954	182	3	bölükbas	bölükbas	PROPN
iajs-1954	182	4	,	,	PUNCT
iajs-1954	182	5	deniz	deniz	PROPN
iajs-1954	182	6	and	and	CCONJ
iajs-1954	182	7	a.	a.	PROPN
iajs-1954	182	8	arifergin,(2005)."a	arifergin,(2005)."a	PROPN
iajs-1954	183	1	radon	radon	PROPN
iajs-1954	183	2	transform	transform	VERB
iajs-1954	183	3	interpretation	interpretation	NOUN
iajs-1954	183	4	of	of	ADP
iajs-1954	183	5	the	the	DET
iajs-1954	183	6	physical	physical	ADJ
iajs-1954	183	7	optics	optic	NOUN
iajs-1954	183	8	integral	integral	ADJ
iajs-1954	183	9	"	"	PUNCT
iajs-1954	183	10	,	,	PUNCT
iajs-1954	183	11	microwave	microwave	NOUN
iajs-1954	183	12	and	and	CCONJ
iajs-1954	183	13	optical	optical	ADJ
iajs-1954	183	14	technology	technology	NOUN
iajs-1954	183	15	letters	letter	NOUN
iajs-1954	183	16	,	,	PUNCT
iajs-1954	183	17	vol	vol	NOUN
iajs-1954	183	18	.	.	PROPN
iajs-1954	184	1	44	44	NUM
iajs-1954	184	2	,	,	PUNCT
iajs-1954	184	3	no	no	INTJ
iajs-1954	184	4	.	.	NOUN
iajs-1954	185	1	3	3	NUM
iajs-1954	185	2	.	.	X
iajs-1954	185	3	7	7	NUM
iajs-1954	185	4	.	.	X
iajs-1954	185	5	polyanin	polyanin	NOUN
iajs-1954	185	6	,	,	PUNCT
iajs-1954	185	7	andrei	andrei	PROPN
iajs-1954	185	8	d.	d.	PROPN
iajs-1954	185	9	,	,	PUNCT
iajs-1954	185	10	and	and	CCONJ
iajs-1954	185	11	alexander	alexander	PROPN
iajs-1954	185	12	v.	v.	ADP
iajs-1954	185	13	manzhirov	manzhirov	PROPN
iajs-1954	185	14	,	,	PUNCT
iajs-1954	185	15	(	(	PUNCT
iajs-1954	185	16	2006)."handbook	2006)."handbook	NUM
iajs-1954	185	17	of	of	ADP
iajs-1954	185	18	mathematics	mathematic	NOUN
iajs-1954	185	19	for	for	ADP
iajs-1954	185	20	engineers	engineer	NOUN
iajs-1954	185	21	and	and	CCONJ
iajs-1954	185	22	scientists	scientist	NOUN
iajs-1954	185	23	"	"	PUNCT
iajs-1954	185	24	,	,	PUNCT
iajs-1954	185	25	book	book	NOUN
iajs-1954	185	26	,	,	PUNCT
iajs-1954	185	27	crc	crc	NOUN
iajs-1954	185	28	press	press	NOUN
iajs-1954	185	29	.	.	PUNCT
iajs-1954	186	1	8	8	X
iajs-1954	186	2	.	.	X
iajs-1954	186	3	poularikas	poularikas	PROPN
iajs-1954	186	4	,	,	PUNCT
iajs-1954	186	5	ed	ed	NOUN
iajs-1954	186	6	.	.	PUNCT
iajs-1954	187	1	alexander	alexander	PROPN
iajs-1954	187	2	d.	d.	PROPN
iajs-1954	187	3	,	,	PUNCT
iajs-1954	187	4	(	(	PUNCT
iajs-1954	187	5	2000)."the	2000)."the	DET
iajs-1954	187	6	transforms	transform	NOUN
iajs-1954	187	7	and	and	CCONJ
iajs-1954	187	8	applications	application	NOUN
iajs-1954	187	9	handbook	handbook	NOUN
iajs-1954	187	10	"	"	PUNCT
iajs-1954	187	11	,	,	PUNCT
iajs-1954	187	12	second	second	ADJ
iajs-1954	187	13	edition	edition	NOUN
iajs-1954	187	14	,	,	PUNCT
iajs-1954	187	15	crc	crc	PROPN
iajs-1954	187	16	press	press	PROPN
iajs-1954	187	17	llc	llc	PROPN
iajs-1954	187	18	.	.	PUNCT
iajs-1954	188	1	9	9	X
iajs-1954	188	2	.	.	X
iajs-1954	188	3	sedeeg	sedeeg	PROPN
iajs-1954	188	4	,	,	PUNCT
iajs-1954	188	5	abdelilah	abdelilah	PROPN
iajs-1954	188	6	k.	k.	PROPN
iajs-1954	188	7	hassan	hassan	PROPN
iajs-1954	188	8	,	,	PUNCT
iajs-1954	189	1	mohand	mohand	NOUN
iajs-1954	189	2	m.	m.	NOUN
iajs-1954	189	3	abdelrahimmahgoub	abdelrahimmahgoub	PROPN
iajs-1954	189	4	and	and	CCONJ
iajs-1954	189	5	muneer	muneer	NOUN
iajs-1954	189	6	a.	a.	NOUN
iajs-1954	189	7	saifsaeed	saifsaee	VERB
iajs-1954	189	8	,	,	PUNCT
iajs-1954	189	9	(	(	PUNCT
iajs-1954	189	10	2016	2016	NUM
iajs-1954	189	11	)	)	PUNCT
iajs-1954	189	12	.	.	PUNCT
iajs-1954	190	1	an	an	DET
iajs-1954	190	2	application	application	NOUN
iajs-1954	190	3	of	of	ADP
iajs-1954	190	4	the	the	DET
iajs-1954	190	5	new	new	ADJ
iajs-1954	190	6	integral	integral	ADJ
iajs-1954	190	7	“	"	PUNCT
iajs-1954	190	8	aboodh	aboodh	NOUN
iajs-1954	190	9	transform	transform	NOUN
iajs-1954	190	10	”	"	PUNCT
iajs-1954	190	11	in	in	ADP
iajs-1954	190	12	cryptography	cryptography	NOUN
iajs-1954	190	13	"	"	PUNCT
iajs-1954	190	14	,	,	PUNCT
iajs-1954	190	15	pure	pure	ADJ
iajs-1954	190	16	and	and	CCONJ
iajs-1954	190	17	applied	applied	ADJ
iajs-1954	190	18	mathematics	mathematic	NOUN
iajs-1954	190	19	journal	journal	NOUN
iajs-1954	190	20	,	,	PUNCT
iajs-1954	190	21	vol	vol	NOUN
iajs-1954	190	22	.	.	PROPN
iajs-1954	190	23	5	5	NUM
iajs-1954	190	24	,	,	PUNCT
iajs-1954	190	25	no	no	INTJ
iajs-1954	190	26	.	.	NOUN
iajs-1954	190	27	5	5	NUM
iajs-1954	190	28	,	,	PUNCT
iajs-1954	190	29	pp	pp	CCONJ
iajs-1954	190	30	:	:	PUNCT
iajs-1954	190	31	151	151	NUM
iajs-1954	190	32	-	-	SYM
iajs-1954	190	33	154	154	NUM
iajs-1954	190	34	.	.	PUNCT
iajs-1954	191	1	10.higgins	10.higgins	NUM
iajs-1954	191	2	,	,	PUNCT
iajs-1954	191	3	w.	w.	PROPN
iajs-1954	191	4	e.	e.	PROPN
iajs-1954	191	5	and	and	CCONJ
iajs-1954	191	6	d.	d.	PROPN
iajs-1954	191	7	c.	c.	PROPN
iajs-1954	191	8	munson	munson	PROPN
iajs-1954	191	9	,	,	PUNCT
iajs-1954	191	10	(	(	PUNCT
iajs-1954	191	11	1988)."a	1988)."a	NUM
iajs-1954	191	12	hankel	hankel	NOUN
iajs-1954	191	13	transform	transform	VERB
iajs-1954	191	14	approach	approach	NOUN
iajs-1954	191	15	to	to	ADP
iajs-1954	191	16	tomographic	tomographic	ADJ
iajs-1954	191	17	image	image	NOUN
iajs-1954	191	18	reconstruction	reconstruction	NOUN
iajs-1954	191	19	"	"	PUNCT
iajs-1954	191	20	,	,	PUNCT
iajs-1954	191	21	ieee	ieee	PROPN
iajs-1954	191	22	trans	tran	NOUN
iajs-1954	191	23	.	.	PROPN
iajs-1954	191	24	med	med	PROPN
iajs-1954	191	25	.	.	PUNCT
iajs-1954	191	26	imaging	imaging	PROPN
iajs-1954	191	27	,	,	PUNCT
iajs-1954	191	28	vol	vol	NOUN
iajs-1954	191	29	.	.	PROPN
iajs-1954	192	1	7	7	NUM
iajs-1954	192	2	,	,	PUNCT
iajs-1954	192	3	pp	pp	ADV
iajs-1954	192	4	59	59	NUM
iajs-1954	192	5	-	-	SYM
iajs-1954	192	6	72	72	NUM
iajs-1954	192	7	.	.	PUNCT
iajs-1954	193	1	11.sarmad	11.sarmad	NUM
iajs-1954	193	2	b.	b.	PROPN
iajs-1954	193	3	dikranalaa	dikranalaa	PROPN
iajs-1954	193	4	k.	k.	PROPN
iajs-1954	193	5	mohammed	mohammed	PROPN
iajs-1954	193	6	ali	ali	PROPN
iajs-1954	193	7	kh	kh	PROPN
iajs-1954	193	8	.	.	PROPN
iajs-1954	193	9	mahmood	mahmood	PROPN
iajs-1954	193	10	,	,	PUNCT
iajs-1954	193	11	(	(	PUNCT
iajs-1954	193	12	2015	2015	NUM
iajs-1954	193	13	)	)	PUNCT
iajs-1954	193	14	.	.	PUNCT
iajs-1954	194	1	uni	uni	INTJ
iajs-1954	194	2	and	and	CCONJ
iajs-1954	194	3	multivariate	multivariate	VERB
iajs-1954	194	4	optimization	optimization	NOUN
iajs-1954	194	5	for	for	ADP
iajs-1954	194	6	the	the	DET
iajs-1954	194	7	spectrophotometric	spectrophotometric	ADJ
iajs-1954	194	8	determination	determination	NOUN
iajs-1954	194	9	of	of	ADP
iajs-1954	194	10	cimetidine	cimetidine	NOUN
iajs-1954	194	11	drug	drug	NOUN
iajs-1954	194	12	via	via	ADP
iajs-1954	194	13	chargetransfer	chargetransfer	NOUN
iajs-1954	194	14	complex	complex	ADJ
iajs-1954	194	15	formation	formation	NOUN
iajs-1954	194	16	,	,	PUNCT
iajs-1954	194	17	ibnalhaitham	ibnalhaitham	NOUN
iajs-1954	194	18	journal	journal	NOUN
iajs-1954	194	19	for	for	ADP
iajs-1954	194	20	pure	pure	ADJ
iajs-1954	194	21	and	and	CCONJ
iajs-1954	194	22	applied	apply	VERB
iajs-1954	194	23	science	science	NOUN
iajs-1954	194	24	,	,	PUNCT
iajs-1954	194	25	vol	vol	NOUN
iajs-1954	194	26	.	.	PROPN
iajs-1954	194	27	28	28	NUM
iajs-1954	194	28	,	,	PUNCT
iajs-1954	194	29	no	no	INTJ
iajs-1954	194	30	.	.	NOUN
iajs-1954	195	1	3	3	X
iajs-1954	195	2	.	.	X
iajs-1954	195	3	12.luma	12.luma	PROPN
iajs-1954	196	1	naji	naji	PROPN
iajs-1954	196	2	mohammed	mohammed	PROPN
iajs-1954	196	3	tawfiq	tawfiq	PROPN
iajs-1954	196	4	and	and	CCONJ
iajs-1954	196	5	alaa	alaa	PROPN
iajs-1954	196	6	k.	k.	PROPN
iajs-1954	196	7	jabber	jabber	PROPN
iajs-1954	196	8	,	,	PUNCT
iajs-1954	196	9	(	(	PUNCT
iajs-1954	196	10	2016).mathematical	2016).mathematical	ADJ
iajs-1954	196	11	modeling	modeling	NOUN
iajs-1954	196	12	of	of	ADP
iajs-1954	196	13	groundwater	groundwater	NOUN
iajs-1954	196	14	flow	flow	NOUN
iajs-1954	196	15	,	,	PUNCT
iajs-1954	196	16	global	global	ADJ
iajs-1954	196	17	journal	journal	NOUN
iajs-1954	196	18	of	of	ADP
iajs-1954	196	19	engineering	engineering	NOUN
iajs-1954	196	20	science	science	NOUN
iajs-1954	196	21	and	and	CCONJ
iajs-1954	196	22	researches	research	NOUN
iajs-1954	196	23	,	,	PUNCT
iajs-1954	196	24	3(10):1522	3(10):1522	NUM
iajs-1954	196	25	.	.	PUNCT
iajs-1954	197	1	13.belgacemfethi	13.belgacemfethi	X
iajs-1954	197	2	bin	bin	NOUN
iajs-1954	197	3	muhammed	muhamme	VERB
iajs-1954	197	4	and	and	CCONJ
iajs-1954	197	5	ahmed	ahmed	PROPN
iajs-1954	197	6	abdul	abdul	PROPN
iajs-1954	197	7	latifkaraalli	latifkaraalli	PROPN
iajs-1954	197	8	,	,	PUNCT
iajs-1954	197	9	"	"	PUNCT
iajs-1954	197	10	sumudu	sumudu	NOUN
iajs-1954	197	11	transform	transform	VERB
iajs-1954	197	12	fundamental	fundamental	ADJ
iajs-1954	197	13	properties	property	NOUN
iajs-1954	197	14	"	"	PUNCT
iajs-1954	197	15	,	,	PUNCT
iajs-1954	197	16	journal	journal	NOUN
iajs-1954	197	17	of	of	ADP
iajs-1954	197	18	applied	apply	VERB
iajs-1954	197	19	mathematics	mathematic	NOUN
iajs-1954	197	20	and	and	CCONJ
iajs-1954	197	21	stochastic	stochastic	ADJ
iajs-1954	197	22	analysis	analysis	NOUN
iajs-1954	197	23	,	,	PUNCT
iajs-1954	197	24	vol	vol	NOUN
iajs-1954	197	25	.	.	PUNCT
iajs-1954	197	26	2006	2006	NUM
iajs-1954	197	27	,	,	PUNCT
iajs-1954	197	28	article	article	NOUN
iajs-1954	197	29	i	i	PROPN
iajs-1954	197	30	d	d	PROPN
iajs-1954	197	31	91083	91083	NUM
iajs-1954	197	32	,	,	PUNCT
iajs-1954	197	33	pp	pp	PROPN
iajs-1954	197	34	1–23	1–23	PROPN
iajs-1954	197	35	.	.	PUNCT
iajs-1954	198	1	14.kiligman	14.kiligman	NUM
iajs-1954	198	2	,	,	PUNCT
iajs-1954	198	3	a.	a.	NOUN
iajs-1954	198	4	and	and	CCONJ
iajs-1954	198	5	hassan	hassan	PROPN
iajs-1954	198	6	eltayeb	eltayeb	PROPN
iajs-1954	198	7	,	,	PUNCT
iajs-1954	198	8	(	(	PUNCT
iajs-1954	198	9	2010)."a	2010)."a	NUM
iajs-1954	198	10	note	note	NOUN
iajs-1954	198	11	on	on	ADP
iajs-1954	198	12	integral	integral	ADJ
iajs-1954	198	13	transforms	transform	NOUN
iajs-1954	198	14	and	and	CCONJ
iajs-1954	198	15	partial	partial	ADJ
iajs-1954	198	16	differential	differential	NOUN
iajs-1954	198	17	equations	equation	NOUN
iajs-1954	198	18	"	"	PUNCT
iajs-1954	198	19	,	,	PUNCT
iajs-1954	198	20	applied	apply	VERB
iajs-1954	198	21	mathematical	mathematical	ADJ
iajs-1954	198	22	sciences	science	NOUN
iajs-1954	198	23	,	,	PUNCT
iajs-1954	198	24	vol	vol	NOUN
iajs-1954	198	25	.	.	PROPN
iajs-1954	198	26	4	4	NUM
iajs-1954	198	27	,	,	PUNCT
iajs-1954	198	28	no	no	INTJ
iajs-1954	198	29	.	.	NOUN
iajs-1954	198	30	3	3	NUM
iajs-1954	198	31	,	,	PUNCT
iajs-1954	198	32	pp	pp	ADP
iajs-1954	198	33	109–118	109–118	NUM
iajs-1954	198	34	.	.	PUNCT
iajs-1954	199	1	15.elzaki	15.elzaki	NUM
iajs-1954	199	2	,	,	PUNCT
iajs-1954	199	3	tarig	tarig	NOUN
iajs-1954	199	4	m.	m.	PROPN
iajs-1954	199	5	,	,	PUNCT
iajs-1954	199	6	salih	salih	PROPN
iajs-1954	199	7	m.	m.	PROPN
iajs-1954	199	8	elzaki	elzaki	PROPN
iajs-1954	199	9	and	and	CCONJ
iajs-1954	199	10	elsayed	elsaye	VERB
iajs-1954	199	11	a.	a.	NOUN
iajs-1954	199	12	elnour	elnour	PROPN
iajs-1954	199	13	,	,	PUNCT
iajs-1954	199	14	(	(	PUNCT
iajs-1954	199	15	2012)."on	2012)."on	NUM
iajs-1954	199	16	the	the	DET
iajs-1954	199	17	new	new	ADJ
iajs-1954	199	18	integral	integral	ADJ
iajs-1954	199	19	transform	transform	NOUN
iajs-1954	199	20	“	"	PUNCT
iajs-1954	199	21	elzaki	elzaki	NOUN
iajs-1954	199	22	transform	transform	NOUN
iajs-1954	199	23	”	"	PUNCT
iajs-1954	199	24	fundamental	fundamental	ADJ
iajs-1954	199	25	properties	property	NOUN
iajs-1954	199	26	investigations	investigation	NOUN
iajs-1954	199	27	and	and	CCONJ
iajs-1954	199	28	applications	application	NOUN
iajs-1954	199	29	"	"	PUNCT
iajs-1954	199	30	,	,	PUNCT
iajs-1954	199	31	global	global	ADJ
iajs-1954	199	32	journal	journal	NOUN
iajs-1954	199	33	of	of	ADP
iajs-1954	199	34	mathematical	mathematical	ADJ
iajs-1954	199	35	sciences	science	NOUN
iajs-1954	199	36	:	:	PUNCT
iajs-1954	199	37	theory	theory	NOUN
iajs-1954	199	38	and	and	CCONJ
iajs-1954	199	39	practical	practical	ADJ
iajs-1954	199	40	,	,	PUNCT
iajs-1954	199	41	vol	vol	NOUN
iajs-1954	199	42	.	.	NOUN
iajs-1954	199	43	4	4	NUM
iajs-1954	199	44	,	,	PUNCT
iajs-1954	199	45	no	no	INTJ
iajs-1954	199	46	.	.	NOUN
iajs-1954	199	47	1	1	NUM
iajs-1954	199	48	,	,	PUNCT
iajs-1954	199	49	pp	pp	ADV
iajs-1954	199	50	1	1	NUM
iajs-1954	199	51	-	-	SYM
iajs-1954	199	52	13	13	NUM
iajs-1954	199	53	.	.	PUNCT
iajs-1954	200	1	16.elzaki	16.elzaki	NUM
iajs-1954	200	2	,	,	PUNCT
iajs-1954	200	3	tarig	tarig	PROPN
iajs-1954	200	4	.	.	PUNCT
iajs-1954	201	1	m.	m.	NOUN
iajs-1954	201	2	,(2011)."the	,(2011)."the	PUNCT
iajs-1954	201	3	new	new	ADJ
iajs-1954	201	4	integral	integral	ADJ
iajs-1954	201	5	transform	transform	NOUN
iajs-1954	201	6	'	'	PUNCT
iajs-1954	201	7	elzaki	elzaki	NOUN
iajs-1954	201	8	transform	transform	NOUN
iajs-1954	201	9	"	"	PUNCT
iajs-1954	201	10	,	,	PUNCT
iajs-1954	201	11	global	global	ADJ
iajs-1954	201	12	journal	journal	NOUN
iajs-1954	201	13	of	of	ADP
iajs-1954	201	14	pure	pure	ADJ
iajs-1954	201	15	and	and	CCONJ
iajs-1954	201	16	applied	applied	ADJ
iajs-1954	201	17	mathematics	mathematic	NOUN
iajs-1954	201	18	,	,	PUNCT
iajs-1954	201	19	vol	vol	NOUN
iajs-1954	201	20	.	.	PROPN
iajs-1954	201	21	7	7	NUM
iajs-1954	201	22	,	,	PUNCT
iajs-1954	201	23	no	no	INTJ
iajs-1954	201	24	.	.	NOUN
iajs-1954	201	25	1	1	NUM
iajs-1954	201	26	,	,	PUNCT
iajs-1954	201	27	pp	pp	ADV
iajs-1954	201	28	57	57	NUM
iajs-1954	201	29	-	-	SYM
iajs-1954	201	30	64	64	NUM
iajs-1954	201	31	.	.	PUNCT
iajs-1954	202	1	17.amaal	17.amaal	NUM
iajs-1954	202	2	,	,	PUNCT
iajs-1954	202	3	a.	a.	NOUN
iajs-1954	202	4	,	,	PUNCT
iajs-1954	202	5	mohammed	mohammed	PROPN
iajs-1954	202	6	yasmin	yasmin	PROPN
iajs-1954	202	7	,	,	PUNCT
iajs-1954	202	8	and	and	CCONJ
iajs-1954	202	9	abdh	abdh	NOUN
iajs-1954	202	10	.	.	PUNCT
iajs-1954	202	11	,	,	PUNCT
iajs-1954	202	12	(	(	PUNCT
iajs-1954	202	13	2017).algorithm	2017).algorithm	NOUN
iajs-1954	202	14	to	to	PART
iajs-1954	202	15	solve	solve	VERB
iajs-1954	202	16	linear	linear	PROPN
iajs-1954	202	17	volterra	volterra	PROPN
iajs-1954	202	18	fractional	fractional	PROPN
iajs-1954	202	19	integro	integro	PROPN
iajs-1954	202	20	-	-	PUNCT
iajs-1954	202	21	differential	differential	NOUN
iajs-1954	202	22	equation	equation	NOUN
iajs-1954	202	23	via	via	ADP
iajs-1954	202	24	elzaki	elzaki	NOUN
iajs-1954	202	25	transform	transform	NOUN
iajs-1954	202	26	,	,	PUNCT
iajs-1954	202	27	ibnalhaitham	ibnalhaitham	NOUN
iajs-1954	202	28	journal	journal	NOUN
iajs-1954	202	29	for	for	ADP
iajs-1954	202	30	pure	pure	ADJ
iajs-1954	202	31	and	and	CCONJ
iajs-1954	202	32	applied	apply	VERB
iajs-1954	202	33	science	science	NOUN
iajs-1954	202	34	,	,	PUNCT
iajs-1954	202	35	vol	vol	NOUN
iajs-1954	202	36	.	.	PROPN
iajs-1954	202	37	30	30	NUM
iajs-1954	202	38	,	,	PUNCT
iajs-1954	202	39	no	no	INTJ
iajs-1954	202	40	.	.	NOUN
iajs-1954	202	41	2	2	NUM
iajs-1954	202	42	.	.	X
iajs-1954	203	1	18.aboodh	18.aboodh	NUM
iajs-1954	203	2	,	,	PUNCT
iajs-1954	203	3	k.	k.	PROPN
iajs-1954	203	4	s.	s.	PROPN
iajs-1954	203	5	,	,	PUNCT
iajs-1954	203	6	(	(	PUNCT
iajs-1954	203	7	2013)."the	2013)."the	DET
iajs-1954	203	8	new	new	ADJ
iajs-1954	203	9	integral	integral	ADJ
iajs-1954	203	10	transform	transform	NOUN
iajs-1954	203	11	'	'	PUNCT
iajs-1954	203	12	aboodh	aboodh	NOUN
iajs-1954	203	13	transform	transform	NOUN
iajs-1954	203	14	"	"	PUNCT
iajs-1954	203	15	,	,	PUNCT
iajs-1954	203	16	global	global	ADJ
iajs-1954	203	17	journal	journal	NOUN
iajs-1954	203	18	of	of	ADP
iajs-1954	203	19	pure	pure	ADJ
iajs-1954	203	20	and	and	CCONJ
iajs-1954	203	21	applied	applied	ADJ
iajs-1954	203	22	mathematics	mathematic	NOUN
iajs-1954	203	23	,	,	PUNCT
iajs-1954	203	24	vol	vol	NOUN
iajs-1954	203	25	.	.	PROPN
iajs-1954	204	1	9	9	NUM
iajs-1954	204	2	,	,	PUNCT
iajs-1954	204	3	no	no	INTJ
iajs-1954	204	4	.	.	NOUN
iajs-1954	204	5	1	1	NUM
iajs-1954	204	6	,	,	PUNCT
iajs-1954	204	7	pp	pp	ADV
iajs-1954	204	8	35	35	NUM
iajs-1954	204	9	-	-	SYM
iajs-1954	204	10	43	43	NUM
iajs-1954	204	11	.	.	PUNCT
iajs-1954	205	1	19.mahgob	19.mahgob	NUM
iajs-1954	205	2	,	,	PUNCT
iajs-1954	205	3	mohand	mohand	NOUN
iajs-1954	205	4	m.	m.	NOUN
iajs-1954	205	5	abdelrahim	abdelrahim	PROPN
iajs-1954	205	6	and	and	CCONJ
iajs-1954	205	7	abdelbagy	abdelbagy	VERB
iajs-1954	205	8	a.	a.	NOUN
iajs-1954	205	9	alshikh	alshikh	PROPN
iajs-1954	205	10	,	,	PUNCT
iajs-1954	205	11	(	(	PUNCT
iajs-1954	205	12	2016)."on	2016)."on	NUM
iajs-1954	205	13	the	the	DET
iajs-1954	205	14	relationship	relationship	NOUN
iajs-1954	205	15	betweenaboodh	betweenaboodh	ADJ
iajs-1954	205	16	transform	transform	NOUN
iajs-1954	205	17	and	and	CCONJ
iajs-1954	205	18	new	new	ADJ
iajs-1954	205	19	integral	integral	ADJ
iajs-1954	205	20	transform	transform	NOUN
iajs-1954	205	21	zz	zz	NOUN
iajs-1954	205	22	transform	transform	NOUN
iajs-1954	205	23	"	"	PUNCT
iajs-1954	205	24	,	,	PUNCT
iajs-1954	205	25	mathematical	mathematical	ADJ
iajs-1954	205	26	theory	theory	NOUN
iajs-1954	205	27	and	and	CCONJ
iajs-1954	205	28	modeling	modeling	NOUN
iajs-1954	205	29	,	,	PUNCT
iajs-1954	205	30	vol	vol	NOUN
iajs-1954	205	31	.	.	PROPN
iajs-1954	206	1	6	6	NUM
iajs-1954	206	2	,	,	PUNCT
iajs-1954	206	3	no	no	INTJ
iajs-1954	206	4	.	.	NOUN
iajs-1954	206	5	9	9	NUM
iajs-1954	206	6	.	.	X
iajs-1954	207	1	20.nagy	20.nagy	NUM
iajs-1954	207	2	,	,	PUNCT
iajs-1954	207	3	gabriel	gabriel	PROPN
iajs-1954	207	4	,	,	PUNCT
iajs-1954	207	5	(	(	PUNCT
iajs-1954	207	6	2014)."ordinary	2014)."ordinary	NUM
iajs-1954	207	7	differential	differential	ADJ
iajs-1954	207	8	equations	equation	NOUN
iajs-1954	207	9	"	"	PUNCT
iajs-1954	207	10	,	,	PUNCT
iajs-1954	207	11	michigan	michigan	PROPN
iajs-1954	207	12	state	state	PROPN
iajs-1954	207	13	university	university	PROPN
iajs-1954	207	14	.	.	PUNCT
iajs-1954	208	1	https://doi.org/10.30526/31.2.1954	https://doi.org/10.30526/31.2.1954	PART
iajs-1954	208	2	mathmatics	mathmatic	NOUN
iajs-1954	208	3	|	|	ADV
iajs-1954	208	4	163	163	NUM
iajs-1954	208	5	2018	2018	NUM
iajs-1954	208	6	(	(	PUNCT
iajs-1954	208	7	عام	عام	ADP
iajs-1954	208	8	2العدد	2العدد	NUM
iajs-1954	208	9	)	)	PUNCT
iajs-1954	208	10	31المجلد	31المجلد	NUM
iajs-1954	209	1	مجلة	مجلة	VERB
iajs-1954	209	2	إبن	إبن	VERB
iajs-1954	209	3	الهيثم	الهيثم	ADJ
iajs-1954	209	4	للعلوم	للعلوم	NOUN
iajs-1954	209	5	الصرفة	الصرفة	NOUN
iajs-1954	210	1	و	و	PRON
iajs-1954	210	2	التطبيقية	التطبيقية	ADJ
iajs-1954	210	3	ibn	ibn	PROPN
iajs-1954	210	4	al	al	PROPN
iajs-1954	210	5	-	-	PUNCT
iajs-1954	210	6	haitham	haitham	PROPN
iajs-1954	210	7	jour	jour	X
iajs-1954	210	8	.	.	PROPN
iajs-1954	210	9	for	for	ADP
iajs-1954	210	10	pure	pure	ADJ
iajs-1954	210	11	&	&	CCONJ
iajs-1954	210	12	appl	appl	PROPN
iajs-1954	210	13	.	.	PUNCT
iajs-1954	211	1	sci	sci	PROPN
iajs-1954	211	2	.	.	PUNCT
iajs-1954	211	3	vol	vol	NOUN
iajs-1954	211	4	.	.	PROPN
iajs-1954	212	1	31	31	NUM
iajs-1954	212	2	(	(	PUNCT
iajs-1954	212	3	2	2	NUM
iajs-1954	212	4	)	)	PUNCT
iajs-1954	212	5	2018	2018	NUM
iajs-1954	213	1	21.luma	21.luma	NUM
iajs-1954	213	2	nm	nm	DET
iajs-1954	213	3	tawfiq	tawfiq	NOUN
iajs-1954	213	4	and	and	CCONJ
iajs-1954	213	5	ashraf	ashraf	PROPN
iajs-1954	213	6	at	at	ADP
iajs-1954	213	7	hussein	hussein	PROPN
iajs-1954	213	8	(	(	PUNCT
iajs-1954	213	9	2004	2004	NUM
iajs-1954	213	10	)	)	PUNCT
iajs-1954	213	11	.	.	PUNCT
iajs-1954	214	1	design	design	NOUN
iajs-1954	214	2	and	and	CCONJ
iajs-1954	214	3	training	train	VERB
iajs-1954	214	4	artificial	artificial	ADJ
iajs-1954	214	5	neural	neural	ADJ
iajs-1954	214	6	networks	network	NOUN
iajs-1954	214	7	for	for	ADP
iajs-1954	214	8	solving	solve	VERB
iajs-1954	214	9	differential	differential	ADJ
iajs-1954	214	10	equations	equation	NOUN
iajs-1954	214	11	,	,	PUNCT
iajs-1954	214	12	msc	msc	PROPN
iajs-1954	214	13	.	.	PROPN
iajs-1954	214	14	thesis	thesis	PROPN
iajs-1954	214	15	,	,	PUNCT
iajs-1954	214	16	university	university	NOUN
iajs-1954	214	17	of	of	ADP
iajs-1954	214	18	baghdad	baghdad	PROPN
iajs-1954	214	19	,	,	PUNCT
iajs-1954	214	20	college	college	NOUN
iajs-1954	214	21	of	of	ADP
iajs-1954	214	22	education	education	NOUN
iajs-1954	214	23	for	for	ADP
iajs-1954	214	24	pure	pure	ADJ
iajs-1954	214	25	science	science	NOUN
iajs-1954	214	26	ibn	ibn	PROPN
iajs-1954	214	27	–	–	PUNCT
iajs-1954	214	28	alhaitham	alhaitham	NOUN
iajs-1954	214	29	.	.	PUNCT
iajs-1954	215	1	22	22	NUM
iajs-1954	215	2	.	.	PUNCT
iajs-1954	216	1	tawfiq	tawfiq	PROPN
iajs-1954	216	2	,	,	PUNCT
iajs-1954	216	3	l.n.m	l.n.m	NOUN
iajs-1954	216	4	.	.	PUNCT
iajs-1954	216	5	,	,	PUNCT
iajs-1954	216	6	and	and	CCONJ
iajs-1954	216	7	hussein	hussein	PROPN
iajs-1954	216	8	,	,	PUNCT
iajs-1954	216	9	a.a.t	a.a.t	NOUN
iajs-1954	216	10	.	.	PUNCT
iajs-1954	216	11	,	,	PUNCT
iajs-1954	216	12	(	(	PUNCT
iajs-1954	216	13	2013	2013	NUM
iajs-1954	216	14	)	)	PUNCT
iajs-1954	216	15	.	.	PUNCT
iajs-1954	217	1	design	design	NOUN
iajs-1954	217	2	feed	feed	VERB
iajs-1954	217	3	forward	forward	ADV
iajs-1954	217	4	neural	neural	ADJ
iajs-1954	217	5	network	network	NOUN
iajs-1954	217	6	to	to	PART
iajs-1954	217	7	solve	solve	VERB
iajs-1954	217	8	singular	singular	ADJ
iajs-1954	217	9	boundary	boundary	ADJ
iajs-1954	217	10	value	value	NOUN
iajs-1954	217	11	problems	problem	NOUN
iajs-1954	217	12	,	,	PUNCT
iajs-1954	217	13	isrn	isrn	NOUN
iajs-1954	217	14	applied	apply	VERB
iajs-1954	217	15	mathematics	mathematic	NOUN
iajs-1954	217	16	,	,	PUNCT
iajs-1954	217	17	vol	vol	NOUN
iajs-1954	217	18	.	.	PROPN
iajs-1954	217	19	2013	2013	NUM
iajs-1954	217	20	.	.	PUNCT
iajs-1954	218	1	23.tawfiq	23.tawfiq	NUM
iajs-1954	218	2	,	,	PUNCT
iajs-1954	218	3	l.n.m	l.n.m	NOUN
iajs-1954	218	4	.	.	PUNCT
iajs-1954	218	5	,	,	PUNCT
iajs-1954	218	6	and	and	CCONJ
iajs-1954	218	7	hassan	hassan	PROPN
iajs-1954	218	8	,	,	PUNCT
iajs-1954	218	9	m.a	m.a	PROPN
iajs-1954	218	10	.	.	PROPN
iajs-1954	218	11	,	,	PUNCT
iajs-1954	218	12	(	(	PUNCT
iajs-1954	218	13	2018	2018	NUM
iajs-1954	218	14	)	)	PUNCT
iajs-1954	218	15	.	.	PUNCT
iajs-1954	219	1	estimate	estimate	VERB
iajs-1954	219	2	the	the	DET
iajs-1954	219	3	effect	effect	NOUN
iajs-1954	219	4	of	of	ADP
iajs-1954	219	5	rainwaters	rainwater	NOUN
iajs-1954	219	6	in	in	ADP
iajs-1954	219	7	contaminated	contaminate	VERB
iajs-1954	219	8	soil	soil	NOUN
iajs-1954	219	9	by	by	ADP
iajs-1954	219	10	using	use	VERB
iajs-1954	219	11	simulink	simulink	NOUN
iajs-1954	219	12	technique	technique	NOUN
iajs-1954	219	13	,	,	PUNCT
iajs-1954	219	14	journal	journal	NOUN
iajs-1954	219	15	of	of	ADP
iajs-1954	219	16	physics	physics	PROPN
iajs-1954	219	17	:	:	PUNCT
iajs-1954	219	18	conf	conf	PROPN
iajs-1954	219	19	.	.	PUNCT
iajs-1954	220	1	series	series	PROPN
iajs-1954	220	2	,	,	PUNCT
iajs-1954	220	3	vol	vol	NOUN
iajs-1954	220	4	.	.	PROPN
iajs-1954	220	5	1003	1003	NUM
iajs-1954	220	6	,	,	PUNCT
iajs-1954	220	7	pp	pp	CCONJ
iajs-1954	220	8	:	:	PUNCT
iajs-1954	220	9	1	1	NUM
iajs-1954	220	10	-	-	SYM
iajs-1954	220	11	7	7	NUM
iajs-1954	220	12	.	.	NUM
iajs-1954	220	13	24.tawfiq	24.tawfiq	NUM
iajs-1954	220	14	,	,	PUNCT
iajs-1954	220	15	l.n.m	l.n.m	NOUN
iajs-1954	220	16	.	.	PUNCT
iajs-1954	220	17	,and	,and	PUNCT
iajs-1954	220	18	hilal	hilal	PROPN
iajs-1954	220	19	,	,	PUNCT
iajs-1954	220	20	m.m	m.m	PROPN
iajs-1954	220	21	.	.	PROPN
iajs-1954	220	22	,	,	PUNCT
iajs-1954	220	23	(	(	PUNCT
iajs-1954	220	24	2017	2017	NUM
iajs-1954	220	25	)	)	PUNCT
iajs-1954	220	26	.	.	PUNCT
iajs-1954	221	1	solution	solution	NOUN
iajs-1954	221	2	of	of	ADP
iajs-1954	221	3	2nd	2nd	ADJ
iajs-1954	221	4	order	order	NOUN
iajs-1954	221	5	nonlinear	nonlinear	ADJ
iajs-1954	221	6	three	three	NUM
iajs-1954	221	7	-	-	PUNCT
iajs-1954	221	8	point	point	NOUN
iajs-1954	221	9	boundary	boundary	ADJ
iajs-1954	221	10	value	value	NOUN
iajs-1954	221	11	problems	problem	NOUN
iajs-1954	221	12	by	by	ADP
iajs-1954	221	13	semi	semi	ADJ
iajs-1954	221	14	-	-	ADJ
iajs-1954	221	15	analytic	analytic	ADJ
iajs-1954	221	16	technique	technique	NOUN
iajs-1954	221	17	,	,	PUNCT
iajs-1954	221	18	ihjpas	ihjpas	PROPN
iajs-1954	221	19	.	.	PUNCT
iajs-1954	221	20	,	,	PUNCT
iajs-1954	221	21	vol	vol	NOUN
iajs-1954	221	22	.	.	PROPN
iajs-1954	222	1	27	27	NUM
iajs-1954	222	2	,	,	PUNCT
iajs-1954	222	3	no	no	DET
iajs-1954	222	4	3	3	NUM
iajs-1954	222	5	25	25	NUM
iajs-1954	222	6	.	.	PUNCT
iajs-1954	223	1	tawfiq	tawfiq	PROPN
iajs-1954	223	2	lnm	lnm	PROPN
iajs-1954	223	3	,	,	PUNCT
iajs-1954	223	4	2005	2005	NUM
iajs-1954	223	5	,	,	PUNCT
iajs-1954	223	6	on	on	ADP
iajs-1954	223	7	training	training	NOUN
iajs-1954	223	8	of	of	ADP
iajs-1954	223	9	artificial	artificial	ADJ
iajs-1954	223	10	neural	neural	ADJ
iajs-1954	223	11	networks	network	NOUN
iajs-1954	223	12	,	,	PUNCT
iajs-1954	223	13	al	al	PROPN
iajs-1954	223	14	-	-	PUNCT
iajs-1954	223	15	fatih	fatih	PROPN
iajs-1954	223	16	journal	journal	NOUN
iajs-1954	223	17	,	,	PUNCT
iajs-1954	223	18	1(23	1(23	NUM
iajs-1954	223	19	)	)	PUNCT
iajs-1954	223	20	,	,	PUNCT
iajs-1954	223	21	130	130	NUM
iajs-1954	223	22	-	-	SYM
iajs-1954	223	23	139	139	NUM
iajs-1954	223	24	26	26	NUM
iajs-1954	223	25	.	.	PUNCT
iajs-1954	224	1	tawfiq	tawfiq	PROPN
iajs-1954	224	2	,	,	PUNCT
iajs-1954	224	3	lnm	lnm	PROPN
iajs-1954	224	4	;	;	PUNCT
iajs-1954	224	5	and	and	CCONJ
iajs-1954	224	6	naoum	naoum	X
iajs-1954	224	7	rs	r	NOUN
iajs-1954	224	8	,	,	PUNCT
iajs-1954	224	9	2007	2007	NUM
iajs-1954	224	10	,	,	PUNCT
iajs-1954	224	11	density	density	NOUN
iajs-1954	224	12	and	and	CCONJ
iajs-1954	224	13	approximation	approximation	NOUN
iajs-1954	224	14	by	by	ADP
iajs-1954	224	15	using	use	VERB
iajs-1954	224	16	feed	feed	NOUN
iajs-1954	224	17	forward	forward	ADV
iajs-1954	224	18	artificial	artificial	ADJ
iajs-1954	224	19	neural	neural	ADJ
iajs-1954	224	20	networks	network	NOUN
iajs-1954	224	21	,	,	PUNCT
iajs-1954	224	22	ibn	ibn	PROPN
iajs-1954	224	23	al	al	PROPN
iajs-1954	224	24	-	-	PUNCT
iajs-1954	224	25	haitham	haitham	PROPN
iajs-1954	224	26	journal	journal	PROPN
iajs-1954	224	27	for	for	ADP
iajs-1954	224	28	pure	pure	ADJ
iajs-1954	224	29	&	&	CCONJ
iajs-1954	224	30	applied	applied	ADJ
iajs-1954	224	31	sciences	science	NOUN
iajs-1954	224	32	,	,	PUNCT
iajs-1954	224	33	20(1	20(1	NUM
iajs-1954	224	34	)	)	PUNCT
iajs-1954	224	35	67	67	NUM
iajs-1954	224	36	-	-	SYM
iajs-1954	224	37	81	81	NUM
iajs-1954	224	38	.	.	PUNCT
iajs-1954	224	39	27	27	NUM
iajs-1954	224	40	.	.	PUNCT
iajs-1954	225	1	tawfiq	tawfiq	PROPN
iajs-1954	225	2	lnm	lnm	PROPN
iajs-1954	225	3	,	,	PUNCT
iajs-1954	225	4	and	and	CCONJ
iajs-1954	225	5	abood	abood	PROPN
iajs-1954	225	6	i	i	PRON
iajs-1954	225	7	n	n	CCONJ
iajs-1954	225	8	,	,	PUNCT
iajs-1954	225	9	persons	person	NOUN
iajs-1954	225	10	camp	camp	NOUN
iajs-1954	225	11	using	use	VERB
iajs-1954	225	12	interpolation	interpolation	NOUN
iajs-1954	225	13	method	method	NOUN
iajs-1954	225	14	,	,	PUNCT
iajs-1954	225	15	journal	journal	NOUN
iajs-1954	225	16	of	of	ADP
iajs-1954	225	17	physics	physics	PROPN
iajs-1954	225	18	:	:	PUNCT
iajs-1954	225	19	conference	conference	NOUN
iajs-1954	225	20	series	series	NOUN
iajs-1954	225	21	.	.	PUNCT
iajs-1954	225	22	2018	2018	NUM
iajs-1954	225	23	;	;	PUNCT
iajs-1954	225	24	1003(012055	1003(012055	NUM
iajs-1954	225	25	):	):	PUNCT
iajs-1954	225	26	1	1	NUM
iajs-1954	225	27	-	-	SYM
iajs-1954	225	28	10	10	NUM
iajs-1954	225	29	.	.	PUNCT
iajs-1954	225	30	28	28	NUM
iajs-1954	225	31	.	.	PUNCT
iajs-1954	226	1	tawfiq	tawfiq	PROPN
iajs-1954	226	2	lnm	lnm	PROPN
iajs-1954	226	3	,	,	PUNCT
iajs-1954	226	4	rasheed	rasheed	VERB
iajs-1954	226	5	hw	hw	PROPN
iajs-1954	226	6	.	.	PUNCT
iajs-1954	227	1	on	on	ADP
iajs-1954	227	2	solution	solution	NOUN
iajs-1954	227	3	of	of	ADP
iajs-1954	227	4	non	non	ADJ
iajs-1954	227	5	linear	linear	ADJ
iajs-1954	227	6	singular	singular	ADJ
iajs-1954	227	7	boundary	boundary	ADJ
iajs-1954	227	8	value	value	NOUN
iajs-1954	227	9	problem	problem	NOUN
iajs-1954	227	10	.	.	PUNCT
iajs-1954	228	1	ihjpas	ihjpas	PROPN
iajs-1954	228	2	.	.	PUNCT
iajs-1954	229	1	2013	2013	NUM
iajs-1954	229	2	;	;	PUNCT
iajs-1954	229	3	26(3	26(3	NUM
iajs-1954	229	4	):	):	PUNCT
iajs-1954	229	5	3208	3208	NUM
iajs-1954	229	6	.	.	PUNCT
iajs-1954	230	1	29	29	NUM
iajs-1954	230	2	.	.	PUNCT
iajs-1954	231	1	salih	salih	PROPN
iajs-1954	231	2	h	h	PROPN
iajs-1954	231	3	,	,	PUNCT
iajs-1954	231	4	tawfiq	tawfiq	PROPN
iajs-1954	231	5	lnm	lnm	PROPN
iajs-1954	231	6	,	,	PUNCT
iajs-1954	231	7	yahya	yahya	PROPN
iajs-1954	231	8	zri	zri	PROPN
iajs-1954	231	9	,	,	PUNCT
iajs-1954	231	10	zin	zin	PROPN
iajs-1954	231	11	s	s	PART
iajs-1954	231	12	m.	m.	NOUN
iajs-1954	231	13	solving	solve	VERB
iajs-1954	231	14	modified	modify	VERB
iajs-1954	231	15	regularized	regularize	VERB
iajs-1954	231	16	long	long	ADJ
iajs-1954	231	17	wave	wave	NOUN
iajs-1954	231	18	equation	equation	NOUN
iajs-1954	231	19	using	use	VERB
iajs-1954	231	20	collocation	collocation	NOUN
iajs-1954	231	21	method	method	NOUN
iajs-1954	231	22	.	.	PUNCT
iajs-1954	232	1	journal	journal	PROPN
iajs-1954	232	2	of	of	ADP
iajs-1954	232	3	physics	physics	PROPN
iajs-1954	232	4	:	:	PUNCT
iajs-1954	232	5	conference	conference	NOUN
iajs-1954	232	6	series	series	NOUN
iajs-1954	232	7	.	.	PUNCT
iajs-1954	233	1	2018	2018	NUM
iajs-1954	233	2	;	;	PUNCT
iajs-1954	233	3	1003(012062	1003(012062	NUM
iajs-1954	233	4	):	):	PUNCT
iajs-1954	233	5	1	1	NUM
iajs-1954	233	6	-	-	SYM
iajs-1954	233	7	10	10	NUM
iajs-1954	233	8	.	.	PUNCT
iajs-1954	234	1	doi	doi	NOUN
iajs-1954	234	2	:	:	PUNCT
iajs-1954	234	3	10.1088/1742	10.1088/1742	NUM
iajs-1954	234	4	-	-	SYM
iajs-1954	234	5	6596/1003/1/012062	6596/1003/1/012062	NUM
iajs-1954	234	6	.	.	PUNCT
iajs-1954	235	1	30	30	NUM
iajs-1954	235	2	.	.	PUNCT
iajs-1954	236	1	tawfiq	tawfiq	PROPN
iajs-1954	236	2	lnm	lnm	PROPN
iajs-1954	236	3	,	,	PUNCT
iajs-1954	236	4	jasim	jasim	PROPN
iajs-1954	236	5	ka	ka	PROPN
iajs-1954	236	6	,	,	PUNCT
iajs-1954	236	7	abdulhmeed	abdulhmee	VERB
iajs-1954	236	8	eo	eo	PROPN
iajs-1954	236	9	.	.	PROPN
iajs-1954	236	10	numerical	numerical	PROPN
iajs-1954	236	11	model	model	PROPN
iajs-1954	236	12	for	for	ADP
iajs-1954	236	13	estimation	estimation	NOUN
iajs-1954	236	14	the	the	DET
iajs-1954	236	15	concentration	concentration	NOUN
iajs-1954	236	16	of	of	ADP
iajs-1954	236	17	heavy	heavy	ADJ
iajs-1954	236	18	metals	metal	NOUN
iajs-1954	236	19	in	in	ADP
iajs-1954	236	20	soil	soil	NOUN
iajs-1954	236	21	and	and	CCONJ
iajs-1954	236	22	its	its	PRON
iajs-1954	236	23	application	application	NOUN
iajs-1954	236	24	in	in	ADP
iajs-1954	236	25	iraq	iraq	PROPN
iajs-1954	236	26	.	.	PUNCT
iajs-1954	237	1	global	global	ADJ
iajs-1954	237	2	journal	journal	PROPN
iajs-1954	237	3	of	of	ADP
iajs-1954	237	4	engineering	engineering	NOUN
iajs-1954	237	5	science	science	NOUN
iajs-1954	237	6	and	and	CCONJ
iajs-1954	237	7	researches	research	NOUN
iajs-1954	237	8	.	.	PUNCT
iajs-1954	237	9	2016	2016	NUM
iajs-1954	237	10	;	;	PUNCT
iajs-1954	237	11	3(3	3(3	NUM
iajs-1954	237	12	):	):	PUNCT
iajs-1954	237	13	75	75	NUM
iajs-1954	237	14	-	-	SYM
iajs-1954	237	15	6	6	NUM
iajs-1954	237	16	.	.	PUNCT
iajs-1954	237	17	31	31	NUM
iajs-1954	237	18	.	.	PUNCT
iajs-1954	238	1	tawfiq	tawfiq	PROPN
iajs-1954	238	2	lnm	lnm	PROPN
iajs-1954	238	3	,	,	PUNCT
iajs-1954	238	4	jabber	jabber	PROPN
iajs-1954	238	5	ak	ak	PROPN
iajs-1954	238	6	.	.	PROPN
iajs-1954	238	7	steady	steady	ADJ
iajs-1954	238	8	state	state	NOUN
iajs-1954	238	9	radial	radial	ADJ
iajs-1954	238	10	flow	flow	NOUN
iajs-1954	238	11	in	in	ADP
iajs-1954	238	12	anisotropic	anisotropic	NOUN
iajs-1954	238	13	and	and	CCONJ
iajs-1954	238	14	homogenous	homogenous	ADJ
iajs-1954	238	15	in	in	ADP
iajs-1954	238	16	confined	confine	VERB
iajs-1954	238	17	aquifers	aquifer	NOUN
iajs-1954	238	18	.	.	PUNCT
iajs-1954	239	1	journal	journal	PROPN
iajs-1954	239	2	of	of	ADP
iajs-1954	239	3	physics	physics	PROPN
iajs-1954	239	4	:	:	PUNCT
iajs-1954	239	5	conference	conference	NOUN
iajs-1954	239	6	series	series	NOUN
iajs-1954	239	7	.	.	PUNCT
iajs-1954	240	1	2018	2018	NUM
iajs-1954	240	2	;	;	PUNCT
iajs-1954	240	3	1003(012056	1003(012056	NUM
iajs-1954	240	4	):	):	PUNCT
iajs-1954	240	5	1	1	NUM
iajs-1954	240	6	-	-	SYM
iajs-1954	240	7	12	12	NUM
iajs-1954	240	8	.	.	PUNCT
iajs-1954	241	1	javascript	javascript	NOUN
iajs-1954	241	2	:	:	PUNCT
iajs-1954	241	3	void(0	void(0	NOUN
iajs-1954	241	4	)	)	PUNCT
iajs-1954	241	5	javascript	javascript	NOUN
iajs-1954	241	6	:	:	PUNCT
iajs-1954	241	7	void(0	void(0	NOUN
iajs-1954	241	8	)	)	PUNCT
iajs-1954	241	9	http://downloads.hindawi.com/journals/isrn.applied.mathematics/2013/650467.pdf	http://downloads.hindawi.com/journals/isrn.applied.mathematics/2013/650467.pdf	PROPN
iajs-1954	241	10	http://downloads.hindawi.com/journals/isrn.applied.mathematics/2013/650467.pdf	http://downloads.hindawi.com/journals/isrn.applied.mathematics/2013/650467.pdf	PROPN
iajs-1954	241	11	http://jihcoed.com/ihj/index.php/j/issue/view/7	http://jihcoed.com/ihj/index.php/j/issue/view/7	ADP
iajs-1954	241	12	https://www.iasj.net/iasj?func=article&aid=38354	https://www.iasj.net/iasj?func=article&aid=38354	PROPN