id	sid	tid	token	lemma	pos
iajs-549	1	1	mathematics	mathematic	NOUN
iajs-549	1	2	316	316	NUM
iajs-549	1	3	مجلة	مجلة	NOUN
iajs-549	1	4	إبن	إبن	VERB
iajs-549	1	5	الهيثم	الهيثم	ADJ
iajs-549	1	6	للعلوم	للعلوم	NOUN
iajs-549	1	7	الصرفة	الصرفة	NOUN
iajs-549	1	8	و	و	PRON
iajs-549	1	9	التطبيقية	التطبيقية	ADJ
iajs-549	1	10	2012	2012	NUM
iajs-549	1	11	السنة	السنة	NOUN
iajs-549	2	1	25	25	NUM
iajs-549	3	1	المجلد	المجلد	NOUN
iajs-549	4	1	3	3	NUM
iajs-549	5	1	العدد	العدد	PROPN
iajs-549	5	2	ibn	ibn	PROPN
iajs-549	5	3	al	al	PROPN
iajs-549	5	4	-	-	PUNCT
iajs-549	5	5	haitham	haitham	PROPN
iajs-549	5	6	journal	journal	PROPN
iajs-549	5	7	for	for	ADP
iajs-549	5	8	pure	pure	ADJ
iajs-549	5	9	and	and	CCONJ
iajs-549	5	10	applied	apply	VERB
iajs-549	5	11	science	science	NOUN
iajs-549	5	12	no	no	NOUN
iajs-549	5	13	.	.	NOUN
iajs-549	5	14	3	3	NUM
iajs-549	5	15	vol	vol	NOUN
iajs-549	5	16	.	.	PUNCT
iajs-549	6	1	25	25	NUM
iajs-549	6	2	year	year	NOUN
iajs-549	6	3	2012	2012	NUM
iajs-549	6	4	designing	designing	NOUN
iajs-549	6	5	feed	feed	NOUN
iajs-549	6	6	forward	forward	ADV
iajs-549	6	7	neural	neural	ADJ
iajs-549	6	8	network	network	NOUN
iajs-549	6	9	for	for	ADP
iajs-549	6	10	solving	solve	VERB
iajs-549	6	11	linear	linear	NOUN
iajs-549	6	12	volterraintegro	volterraintegro	NOUN
iajs-549	6	13	-	-	PUNCT
iajs-549	6	14	differential	differential	NOUN
iajs-549	6	15	equations	equation	NOUN
iajs-549	6	16	l.	l.	PROPN
iajs-549	6	17	n.	n.	PROPN
iajs-549	6	18	m.	m.	PROPN
iajs-549	6	19	tawfiq	tawfiq	PROPN
iajs-549	6	20	,	,	PUNCT
iajs-549	6	21	g	g	PROPN
iajs-549	6	22	.h	.h	PROPN
iajs-549	6	23	.	.	PUNCT
iajs-549	7	1	ibraheem	ibraheem	PROPN
iajs-549	7	2	department	department	PROPN
iajs-549	7	3	of	of	ADP
iajs-549	7	4	mathematics	mathematics	PROPN
iajs-549	7	5	,	,	PUNCT
iajs-549	7	6	college	college	NOUN
iajs-549	7	7	of	of	ADP
iajs-549	7	8	education	education	PROPN
iajs-549	7	9	ibn	ibn	PROPN
iajs-549	7	10	al	al	PROPN
iajs-549	7	11	haitham	haitham	PROPN
iajs-549	7	12	,	,	PUNCT
iajs-549	7	13	university	university	PROPN
iajs-549	7	14	of	of	ADP
iajs-549	7	15	baghdad	baghdad	PROPN
iajs-549	7	16	received	receive	VERB
iajs-549	7	17	in	in	ADP
iajs-549	7	18	:	:	PUNCT
iajs-549	7	19	18april	18april	NUM
iajs-549	7	20	2011	2011	NUM
iajs-549	7	21	,	,	PUNCT
iajs-549	7	22	accepted	accept	VERB
iajs-549	7	23	in	in	ADP
iajs-549	7	24	:	:	PUNCT
iajs-549	7	25	30	30	NUM
iajs-549	7	26	may	may	PROPN
iajs-549	7	27	2011	2011	NUM
iajs-549	7	28	abstract	abstract	NOUN
iajs-549	7	29	the	the	DET
iajs-549	7	30	aim	aim	NOUN
iajs-549	7	31	of	of	ADP
iajs-549	7	32	this	this	DET
iajs-549	7	33	paper	paper	NOUN
iajs-549	7	34	,	,	PUNCT
iajs-549	7	35	is	be	AUX
iajs-549	7	36	to	to	PART
iajs-549	7	37	design	design	VERB
iajs-549	7	38	multilayer	multilayer	NOUN
iajs-549	7	39	feed	feed	NOUN
iajs-549	7	40	forward	forward	ADV
iajs-549	7	41	neural	neural	ADJ
iajs-549	7	42	network(ffnn)to	network(ffnn)to	NOUN
iajs-549	7	43	find	find	VERB
iajs-549	7	44	the	the	DET
iajs-549	7	45	approximate	approximate	ADJ
iajs-549	7	46	solution	solution	NOUN
iajs-549	7	47	of	of	ADP
iajs-549	7	48	the	the	DET
iajs-549	7	49	second	second	ADJ
iajs-549	7	50	order	order	NOUN
iajs-549	7	51	linear	linear	NOUN
iajs-549	7	52	volterraintegro	volterraintegro	NOUN
iajs-549	7	53	-	-	PUNCT
iajs-549	7	54	differential	differential	NOUN
iajs-549	7	55	equations	equation	NOUN
iajs-549	7	56	with	with	ADP
iajs-549	7	57	boundary	boundary	ADJ
iajs-549	7	58	conditions	condition	NOUN
iajs-549	7	59	.	.	PUNCT
iajs-549	8	1	the	the	DET
iajs-549	8	2	designer	designer	NOUN
iajs-549	8	3	utilized	utilize	VERB
iajs-549	8	4	to	to	PART
iajs-549	8	5	reduce	reduce	VERB
iajs-549	8	6	the	the	DET
iajs-549	8	7	computation	computation	NOUN
iajs-549	8	8	of	of	ADP
iajs-549	8	9	solution	solution	NOUN
iajs-549	8	10	,	,	PUNCT
iajs-549	8	11	computationally	computationally	ADV
iajs-549	8	12	attractive	attractive	ADJ
iajs-549	8	13	,	,	PUNCT
iajs-549	8	14	and	and	CCONJ
iajs-549	8	15	the	the	DET
iajs-549	8	16	applications	application	NOUN
iajs-549	8	17	are	be	AUX
iajs-549	8	18	demonstrated	demonstrate	VERB
iajs-549	8	19	through	through	ADP
iajs-549	8	20	illustrative	illustrative	ADJ
iajs-549	8	21	examples	example	NOUN
iajs-549	8	22	.	.	PUNCT
iajs-549	9	1	keywords	keyword	NOUN
iajs-549	9	2	:	:	PUNCT
iajs-549	9	3	boundary	boundary	ADJ
iajs-549	9	4	value	value	NOUN
iajs-549	9	5	problems	problem	NOUN
iajs-549	9	6	,	,	PUNCT
iajs-549	9	7	volterraintegro	volterraintegro	NOUN
iajs-549	9	8	-	-	PUNCT
iajs-549	9	9	differential	differential	NOUN
iajs-549	9	10	,	,	PUNCT
iajs-549	9	11	feed	feed	VERB
iajs-549	9	12	forward	forward	ADV
iajs-549	9	13	neural	neural	ADJ
iajs-549	9	14	network	network	NOUN
iajs-549	9	15	,	,	PUNCT
iajs-549	9	16	back	back	ADJ
iajs-549	9	17	propagation	propagation	NOUN
iajs-549	9	18	training	training	NOUN
iajs-549	9	19	algorithm	algorithm	NOUN
iajs-549	9	20	.	.	PUNCT
iajs-549	10	1	introduction	introduction	NOUN
iajs-549	10	2	we	we	PRON
iajs-549	10	3	consider	consider	VERB
iajs-549	10	4	the	the	DET
iajs-549	10	5	second	second	ADJ
iajs-549	10	6	order	order	NOUN
iajs-549	10	7	linear	linear	NOUN
iajs-549	10	8	volterraintegro	volterraintegro	NOUN
iajs-549	10	9	-	-	PUNCT
iajs-549	10	10	differential	differential	NOUN
iajs-549	10	11	equations	equation	NOUN
iajs-549	10	12	of	of	ADP
iajs-549	10	13	the	the	DET
iajs-549	10	14	form	form	NOUN
iajs-549	10	15	:	:	PUNCT
iajs-549	10	16	y"(x	y"(x	PROPN
iajs-549	10	17	)	)	PUNCT
iajs-549	10	18	+	+	CCONJ
iajs-549	10	19	p(x	p(x	NOUN
iajs-549	10	20	)	)	PUNCT
iajs-549	10	21	y'(x	y'(x	NOUN
iajs-549	10	22	)	)	PUNCT
iajs-549	10	23	+	+	CCONJ
iajs-549	10	24	q(x	q(x	NOUN
iajs-549	10	25	)	)	PUNCT
iajs-549	10	26	y(x	y(x	NOUN
iajs-549	10	27	)	)	PUNCT
iajs-549	10	28	=	=	SYM
iajs-549	10	29	f(x	f(x	PROPN
iajs-549	10	30	)	)	PUNCT
iajs-549	11	1	+	+	CCONJ
iajs-549	11	2	,	,	PUNCT
iajs-549	11	3	x	x	SYM
iajs-549	11	4	∈[a	∈[a	NOUN
iajs-549	11	5	,	,	PUNCT
iajs-549	11	6	b	b	NOUN
iajs-549	11	7	]	]	PUNCT
iajs-549	11	8	,	,	PUNCT
iajs-549	11	9	(	(	PUNCT
iajs-549	11	10	1	1	X
iajs-549	11	11	)	)	PUNCT
iajs-549	11	12	with	with	ADP
iajs-549	11	13	boundary	boundary	ADJ
iajs-549	11	14	conditions	condition	NOUN
iajs-549	11	15	:	:	PUNCT
iajs-549	11	16	y(a	y(a	X
iajs-549	11	17	)	)	PUNCT
iajs-549	11	18	=	=	SYM
iajs-549	11	19	ya	ya	PROPN
iajs-549	11	20	,	,	PUNCT
iajs-549	11	21	y(b	y(b	PROPN
iajs-549	11	22	)	)	PUNCT
iajs-549	12	1	=	=	SYM
iajs-549	12	2	yb	yb	PROPN
iajs-549	12	3	,	,	PUNCT
iajs-549	12	4	where	where	SCONJ
iajs-549	12	5	k(x	k(x	PROPN
iajs-549	12	6	,	,	PUNCT
iajs-549	12	7	t	t	PROPN
iajs-549	12	8	)	)	PUNCT
iajs-549	12	9	,	,	PUNCT
iajs-549	12	10	f(x	f(x	PROPN
iajs-549	12	11	)	)	PUNCT
iajs-549	12	12	,	,	PUNCT
iajs-549	12	13	y(x	y(x	PROPN
iajs-549	12	14	)	)	PUNCT
iajs-549	12	15	,	,	PUNCT
iajs-549	12	16	and	and	CCONJ
iajs-549	12	17	p(x	p(x	PROPN
iajs-549	12	18	)	)	PUNCT
iajs-549	12	19	,	,	PUNCT
iajs-549	12	20	q(x	q(x	PROPN
iajs-549	12	21	)	)	PUNCT
iajs-549	12	22	,	,	PUNCT
iajs-549	12	23	are	be	AUX
iajs-549	12	24	analytic	analytic	ADJ
iajs-549	12	25	functions	function	NOUN
iajs-549	12	26	and	and	CCONJ
iajs-549	12	27	ya	ya	PRON
iajs-549	12	28	,	,	PUNCT
iajs-549	12	29	yb	yb	PROPN
iajs-549	12	30	are	be	AUX
iajs-549	12	31	real	real	ADJ
iajs-549	12	32	constants	constant	NOUN
iajs-549	12	33	.	.	PUNCT
iajs-549	13	1	y(x	y(x	NOUN
iajs-549	13	2	)	)	PUNCT
iajs-549	13	3	is	be	AUX
iajs-549	13	4	the	the	DET
iajs-549	13	5	solution	solution	NOUN
iajs-549	13	6	to	to	PART
iajs-549	13	7	be	be	AUX
iajs-549	13	8	determined	determine	VERB
iajs-549	13	9	.	.	PUNCT
iajs-549	14	1	numerical	numerical	ADJ
iajs-549	14	2	methods	method	NOUN
iajs-549	14	3	for	for	ADP
iajs-549	14	4	solution	solution	NOUN
iajs-549	14	5	of	of	ADP
iajs-549	14	6	linear	linear	PROPN
iajs-549	14	7	volterraintegro	volterraintegro	NOUN
iajs-549	14	8	-	-	PUNCT
iajs-549	14	9	differential	differential	NOUN
iajs-549	14	10	equations	equation	NOUN
iajs-549	14	11	have	have	AUX
iajs-549	14	12	been	be	AUX
iajs-549	14	13	studied	study	VERB
iajs-549	14	14	by	by	ADP
iajs-549	14	15	the	the	DET
iajs-549	14	16	authors[1	authors[1	PROPN
iajs-549	14	17	−	−	PROPN
iajs-549	14	18	5	5	NUM
iajs-549	14	19	]	]	PUNCT
iajs-549	14	20	.	.	PUNCT
iajs-549	15	1	there	there	PRON
iajs-549	15	2	have	have	AUX
iajs-549	15	3	been	be	AUX
iajs-549	15	4	considerable	considerable	ADJ
iajs-549	15	5	interest	interest	NOUN
iajs-549	15	6	in	in	ADP
iajs-549	15	7	solving	solve	VERB
iajs-549	15	8	integro	integro	ADJ
iajs-549	15	9	-	-	PUNCT
iajs-549	15	10	differential	differential	NOUN
iajs-549	15	11	equation	equation	NOUN
iajs-549	15	12	(	(	PUNCT
iajs-549	15	13	1	1	NUM
iajs-549	15	14	)	)	PUNCT
iajs-549	15	15	.	.	PUNCT
iajs-549	16	1	theorems	theorem	NOUN
iajs-549	16	2	which	which	PRON
iajs-549	16	3	list	list	VERB
iajs-549	16	4	the	the	DET
iajs-549	16	5	conditions	condition	NOUN
iajs-549	16	6	for	for	ADP
iajs-549	16	7	the	the	DET
iajs-549	16	8	existence	existence	NOUN
iajs-549	16	9	and	and	CCONJ
iajs-549	16	10	uniqueness	uniqueness	NOUN
iajs-549	16	11	of	of	ADP
iajs-549	16	12	solutions	solution	NOUN
iajs-549	16	13	of	of	ADP
iajs-549	16	14	such	such	ADJ
iajs-549	16	15	problems	problem	NOUN
iajs-549	16	16	are	be	AUX
iajs-549	16	17	contained	contain	VERB
iajs-549	16	18	in	in	ADP
iajs-549	16	19	a	a	DET
iajs-549	16	20	book	book	NOUN
iajs-549	16	21	by	by	ADP
iajs-549	16	22	agarwal	agarwal	PROPN
iajs-549	16	23	[	[	X
iajs-549	16	24	1	1	NUM
iajs-549	16	25	]	]	PUNCT
iajs-549	16	26	.	.	PUNCT
iajs-549	17	1	two	two	NUM
iajs-549	17	2	point	point	NOUN
iajs-549	17	3	boundary	boundary	ADJ
iajs-549	17	4	value	value	NOUN
iajs-549	17	5	problem	problem	NOUN
iajs-549	17	6	for	for	ADP
iajs-549	17	7	integro	integro	ADJ
iajs-549	17	8	-	-	PUNCT
iajs-549	17	9	differential	differential	NOUN
iajs-549	17	10	equation	equation	NOUN
iajs-549	17	11	of	of	ADP
iajs-549	17	12	second	second	ADJ
iajs-549	17	13	order	order	NOUN
iajs-549	17	14	is	be	AUX
iajs-549	17	15	discussed	discuss	VERB
iajs-549	17	16	by	by	ADP
iajs-549	17	17	j.	j.	PROPN
iajs-549	17	18	morchalo	morchalo	PROPN
iajs-549	17	19	in	in	ADP
iajs-549	17	20	[	[	X
iajs-549	17	21	2	2	NUM
iajs-549	17	22	]	]	PUNCT
iajs-549	17	23	.	.	PUNCT
iajs-549	18	1	also	also	ADV
iajs-549	18	2	,	,	PUNCT
iajs-549	18	3	j.	j.	PROPN
iajs-549	18	4	morchalo	morchalo	PROPN
iajs-549	18	5	[	[	X
iajs-549	18	6	3	3	NUM
iajs-549	18	7	]	]	PUNCT
iajs-549	18	8	studied	study	VERB
iajs-549	18	9	two	two	NUM
iajs-549	18	10	point	point	NOUN
iajs-549	18	11	boundary	boundary	ADJ
iajs-549	18	12	value	value	NOUN
iajs-549	18	13	problem	problem	NOUN
iajs-549	18	14	for	for	ADP
iajs-549	18	15	integro	integro	ADJ
iajs-549	18	16	-	-	PUNCT
iajs-549	18	17	differential	differential	NOUN
iajs-549	18	18	equation	equation	NOUN
iajs-549	18	19	of	of	ADP
iajs-549	18	20	higher	high	ADJ
iajs-549	18	21	order	order	NOUN
iajs-549	18	22	.	.	PUNCT
iajs-549	19	1	a	a	DET
iajs-549	19	2	reliable	reliable	ADJ
iajs-549	19	3	algorithm	algorithm	NOUN
iajs-549	19	4	for	for	ADP
iajs-549	19	5	solving	solve	VERB
iajs-549	19	6	boundary	boundary	ADJ
iajs-549	19	7	value	value	NOUN
iajs-549	19	8	problems	problem	NOUN
iajs-549	19	9	for	for	ADP
iajs-549	19	10	higher	high	ADJ
iajs-549	19	11	-	-	PUNCT
iajs-549	19	12	order	order	NOUN
iajs-549	19	13	integro	integro	ADJ
iajs-549	19	14	-	-	PUNCT
iajs-549	19	15	differential	differential	NOUN
iajs-549	19	16	equation	equation	NOUN
iajs-549	19	17	has	have	AUX
iajs-549	19	18	been	be	AUX
iajs-549	19	19	proposed	propose	VERB
iajs-549	19	20	by	by	ADP
iajs-549	19	21	a.	a.	PROPN
iajs-549	19	22	m	m	PROPN
iajs-549	19	23	-	-	NOUN
iajs-549	19	24	wazwaz	wazwaz	NOUN
iajs-549	19	25	[	[	X
iajs-549	19	26	4	4	NUM
iajs-549	19	27	]	]	PUNCT
iajs-549	19	28	.	.	PUNCT
iajs-549	20	1	the	the	DET
iajs-549	20	2	aim	aim	NOUN
iajs-549	20	3	of	of	ADP
iajs-549	20	4	mentioned	mention	VERB
iajs-549	20	5	paper	paper	NOUN
iajs-549	20	6	is	be	AUX
iajs-549	20	7	to	to	PART
iajs-549	20	8	present	present	VERB
iajs-549	20	9	an	an	DET
iajs-549	20	10	efficient	efficient	ADJ
iajs-549	20	11	analytical	analytical	ADJ
iajs-549	20	12	and	and	CCONJ
iajs-549	20	13	numerical	numerical	ADJ
iajs-549	20	14	procedure	procedure	NOUN
iajs-549	20	15	for	for	ADP
iajs-549	20	16	solving	solve	VERB
iajs-549	20	17	boundary	boundary	ADJ
iajs-549	20	18	value	value	NOUN
iajs-549	20	19	problems	problem	NOUN
iajs-549	20	20	for	for	ADP
iajs-549	20	21	integrodifferential	integrodifferential	ADJ
iajs-549	20	22	equations	equation	NOUN
iajs-549	20	23	.	.	PUNCT
iajs-549	21	1	e.	e.	PROPN
iajs-549	21	2	babolian	babolian	PROPN
iajs-549	21	3	et	et	PROPN
iajs-549	21	4	al	al	PROPN
iajs-549	22	1	[	[	X
iajs-549	22	2	5	5	NUM
iajs-549	22	3	]	]	PUNCT
iajs-549	22	4	,	,	PUNCT
iajs-549	22	5	applied	apply	VERB
iajs-549	22	6	operational	operational	ADJ
iajs-549	22	7	matrices	matrix	NOUN
iajs-549	22	8	of	of	ADP
iajs-549	22	9	piecewise	piecewise	NOUN
iajs-549	22	10	constant	constant	ADJ
iajs-549	22	11	orthogonal	orthogonal	ADJ
iajs-549	22	12	functions	function	NOUN
iajs-549	22	13	for	for	ADP
iajs-549	22	14	solving	solve	VERB
iajs-549	22	15	volterra	volterra	NOUN
iajs-549	22	16	integral	integral	ADJ
iajs-549	22	17	and	and	CCONJ
iajs-549	22	18	integro	integro	ADJ
iajs-549	22	19	-	-	PUNCT
iajs-549	22	20	differential	differential	NOUN
iajs-549	22	21	equations	equation	NOUN
iajs-549	22	22	.	.	PUNCT
iajs-549	23	1	they	they	PRON
iajs-549	23	2	first	first	ADV
iajs-549	23	3	obtained	obtain	VERB
iajs-549	23	4	laplace	laplace	NOUN
iajs-549	23	5	transform	transform	NOUN
iajs-549	23	6	of	of	ADP
iajs-549	23	7	the	the	DET
iajs-549	23	8	problem	problem	NOUN
iajs-549	23	9	and	and	CCONJ
iajs-549	23	10	then	then	ADV
iajs-549	23	11	found	find	VERB
iajs-549	23	12	numerical	numerical	ADJ
iajs-549	23	13	inversion	inversion	NOUN
iajs-549	23	14	of	of	ADP
iajs-549	23	15	laplace	laplace	NOUN
iajs-549	23	16	transform	transform	NOUN
iajs-549	23	17	by	by	ADP
iajs-549	23	18	operational	operational	ADJ
iajs-549	23	19	matrices	matrix	NOUN
iajs-549	23	20	.	.	PUNCT
iajs-549	24	1	sinc	sinc	PROPN
iajs-549	24	2	methods	method	NOUN
iajs-549	24	3	have	have	AUX
iajs-549	24	4	increasing	increasing	AUX
iajs-549	24	5	been	be	AUX
iajs-549	24	6	recognized	recognize	VERB
iajs-549	24	7	as	as	ADP
iajs-549	24	8	powerful	powerful	ADJ
iajs-549	24	9	tools	tool	NOUN
iajs-549	24	10	for	for	ADP
iajs-549	24	11	attacking	attack	VERB
iajs-549	24	12	problems	problem	NOUN
iajs-549	24	13	in	in	ADP
iajs-549	24	14	applied	applied	ADJ
iajs-549	24	15	physics	physics	NOUN
iajs-549	24	16	and	and	CCONJ
iajs-549	24	17	engineering	engineering	NOUN
iajs-549	24	18	.	.	PUNCT
iajs-549	25	1	the	the	DET
iajs-549	25	2	book	book	NOUN
iajs-549	25	3	[	[	X
iajs-549	25	4	6	6	NUM
iajs-549	25	5	]	]	PUNCT
iajs-549	25	6	provide	provide	VERB
iajs-549	25	7	excellent	excellent	ADJ
iajs-549	25	8	overviews	overview	NOUN
iajs-549	25	9	of	of	ADP
iajs-549	25	10	methods	method	NOUN
iajs-549	25	11	based	base	VERB
iajs-549	25	12	on	on	ADP
iajs-549	25	13	sinc	sinc	NOUN
iajs-549	25	14	functions	function	NOUN
iajs-549	25	15	for	for	ADP
iajs-549	25	16	solving	solve	VERB
iajs-549	25	17	ordinary	ordinary	ADJ
iajs-549	25	18	and	and	CCONJ
iajs-549	25	19	partial	partial	ADJ
iajs-549	25	20	differential	differential	ADJ
iajs-549	25	21	equations	equation	NOUN
iajs-549	25	22	and	and	CCONJ
iajs-549	25	23	integro	integro	ADJ
iajs-549	25	24	-	-	PUNCT
iajs-549	25	25	differential	differential	NOUN
iajs-549	25	26	equations	equation	NOUN
iajs-549	25	27	.	.	PUNCT
iajs-549	26	1	in	in	ADP
iajs-549	26	2	[	[	X
iajs-549	26	3	7	7	NUM
iajs-549	26	4	]	]	PUNCT
iajs-549	26	5	,	,	PUNCT
iajs-549	26	6	the	the	DET
iajs-549	26	7	sinc	sinc	ADJ
iajs-549	26	8	collocation	collocation	NOUN
iajs-549	26	9	procedures	procedure	NOUN
iajs-549	26	10	for	for	ADP
iajs-549	26	11	the	the	DET
iajs-549	26	12	eigenvalue	eigenvalue	NOUN
iajs-549	26	13	problems	problem	NOUN
iajs-549	26	14	are	be	AUX
iajs-549	26	15	presented	present	VERB
iajs-549	26	16	.	.	PUNCT
iajs-549	27	1	j.	j.	PROPN
iajs-549	27	2	rashidinia	rashidinia	PROPN
iajs-549	27	3	,	,	PUNCT
iajs-549	27	4	m.	m.	NOUN
iajs-549	27	5	zarebnia	zarebnia	PROPN
iajs-549	27	6	in	in	ADP
iajs-549	27	7	[	[	X
iajs-549	27	8	8	8	NUM
iajs-549	27	9	,	,	PUNCT
iajs-549	27	10	9	9	NUM
iajs-549	27	11	]	]	PUNCT
iajs-549	27	12	,	,	PUNCT
iajs-549	27	13	used	use	VERB
iajs-549	27	14	sinc	sinc	NOUN
iajs-549	27	15	methods	method	NOUN
iajs-549	27	16	for	for	ADP
iajs-549	27	17	numerical	numerical	ADJ
iajs-549	27	18	solutions	solution	NOUN
iajs-549	27	19	of	of	ADP
iajs-549	27	20	integral	integral	ADJ
iajs-549	27	21	equations	equation	NOUN
iajs-549	27	22	.	.	PUNCT
iajs-549	28	1	in	in	ADP
iajs-549	28	2	this	this	DET
iajs-549	28	3	paper	paper	NOUN
iajs-549	28	4	,	,	PUNCT
iajs-549	28	5	we	we	PRON
iajs-549	28	6	design	design	VERB
iajs-549	28	7	a	a	DET
iajs-549	28	8	multilayer	multilayer	NOUN
iajs-549	28	9	feed	feed	NOUN
iajs-549	28	10	forward	forward	ADV
iajs-549	28	11	neural	neural	ADJ
iajs-549	28	12	network(ffnn	network(ffnn	PROPN
iajs-549	28	13	)	)	PUNCT
iajs-549	28	14	to	to	PART
iajs-549	28	15	approximate	approximate	VERB
iajs-549	28	16	the	the	DET
iajs-549	28	17	solution	solution	NOUN
iajs-549	28	18	of	of	ADP
iajs-549	28	19	the	the	DET
iajs-549	28	20	equation	equation	NOUN
iajs-549	28	21	(	(	PUNCT
iajs-549	28	22	1	1	NUM
iajs-549	28	23	)	)	PUNCT
iajs-549	28	24	.	.	PUNCT
iajs-549	29	1	mathematics	mathematic	NOUN
iajs-549	29	2	317	317	NUM
iajs-549	29	3	مجلة	مجلة	VERB
iajs-549	29	4	إبن	إبن	NOUN
iajs-549	29	5	الهيثم	الهيثم	ADJ
iajs-549	29	6	للعلوم	للعلوم	NOUN
iajs-549	29	7	الصرفة	الصرفة	NOUN
iajs-549	29	8	و	و	PRON
iajs-549	29	9	التطبيقية	التطبيقية	ADJ
iajs-549	29	10	2012	2012	NUM
iajs-549	29	11	السنة	السنة	NOUN
iajs-549	30	1	25	25	NUM
iajs-549	30	2	المجلد	المجلد	NOUN
iajs-549	30	3	3	3	NUM
iajs-549	30	4	العدد	العدد	PROPN
iajs-549	30	5	ibn	ibn	PROPN
iajs-549	30	6	al	al	PROPN
iajs-549	30	7	-	-	PUNCT
iajs-549	30	8	haitham	haitham	PROPN
iajs-549	30	9	journal	journal	PROPN
iajs-549	30	10	for	for	ADP
iajs-549	30	11	pure	pure	ADJ
iajs-549	30	12	and	and	CCONJ
iajs-549	30	13	applied	apply	VERB
iajs-549	30	14	science	science	NOUN
iajs-549	30	15	no	no	NOUN
iajs-549	30	16	.	.	NOUN
iajs-549	30	17	3	3	NUM
iajs-549	30	18	vol	vol	NOUN
iajs-549	30	19	.	.	PUNCT
iajs-549	31	1	25	25	NUM
iajs-549	31	2	year	year	NOUN
iajs-549	31	3	2012	2012	NUM
iajs-549	31	4	what	what	PRON
iajs-549	31	5	are	be	AUX
iajs-549	31	6	artificial	artificial	ADJ
iajs-549	31	7	neural	neural	ADJ
iajs-549	31	8	networks	network	NOUN
iajs-549	31	9	?	?	PUNCT
iajs-549	32	1	[	[	X
iajs-549	32	2	10	10	NUM
iajs-549	32	3	]	]	X
iajs-549	32	4	an	an	DET
iajs-549	32	5	artificial	artificial	ADJ
iajs-549	32	6	neural	neural	ADJ
iajs-549	32	7	network	network	NOUN
iajs-549	32	8	(	(	PUNCT
iajs-549	32	9	ann	ann	PROPN
iajs-549	32	10	)	)	PUNCT
iajs-549	32	11	is	be	AUX
iajs-549	32	12	an	an	DET
iajs-549	32	13	information	information	NOUN
iajs-549	32	14	processing	processing	NOUN
iajs-549	32	15	paradigm	paradigm	NOUN
iajs-549	32	16	that	that	PRON
iajs-549	32	17	is	be	AUX
iajs-549	32	18	inspired	inspire	VERB
iajs-549	32	19	by	by	ADP
iajs-549	32	20	the	the	DET
iajs-549	32	21	way	way	NOUN
iajs-549	32	22	biological	biological	ADJ
iajs-549	32	23	nervous	nervous	ADJ
iajs-549	32	24	systems	system	NOUN
iajs-549	32	25	,	,	PUNCT
iajs-549	32	26	such	such	ADJ
iajs-549	32	27	as	as	ADP
iajs-549	32	28	the	the	DET
iajs-549	32	29	brain	brain	NOUN
iajs-549	32	30	,	,	PUNCT
iajs-549	32	31	process	process	NOUN
iajs-549	32	32	information	information	NOUN
iajs-549	32	33	.	.	PUNCT
iajs-549	33	1	the	the	DET
iajs-549	33	2	key	key	ADJ
iajs-549	33	3	element	element	NOUN
iajs-549	33	4	of	of	ADP
iajs-549	33	5	this	this	DET
iajs-549	33	6	paradigm	paradigm	NOUN
iajs-549	33	7	is	be	AUX
iajs-549	33	8	the	the	DET
iajs-549	33	9	novel	novel	ADJ
iajs-549	33	10	structure	structure	NOUN
iajs-549	33	11	of	of	ADP
iajs-549	33	12	the	the	DET
iajs-549	33	13	information	information	NOUN
iajs-549	33	14	processing	processing	NOUN
iajs-549	33	15	system	system	NOUN
iajs-549	33	16	.	.	PUNCT
iajs-549	34	1	it	it	PRON
iajs-549	34	2	is	be	AUX
iajs-549	34	3	composed	compose	VERB
iajs-549	34	4	of	of	ADP
iajs-549	34	5	a	a	DET
iajs-549	34	6	large	large	ADJ
iajs-549	34	7	number	number	NOUN
iajs-549	34	8	of	of	ADP
iajs-549	34	9	highly	highly	ADV
iajs-549	34	10	interconnected	interconnected	ADJ
iajs-549	34	11	processing	processing	NOUN
iajs-549	34	12	elements	element	NOUN
iajs-549	34	13	(	(	PUNCT
iajs-549	34	14	neurons	neuron	NOUN
iajs-549	34	15	)	)	PUNCT
iajs-549	34	16	working	work	VERB
iajs-549	34	17	in	in	ADP
iajs-549	34	18	unison	unison	NOUN
iajs-549	34	19	to	to	PART
iajs-549	34	20	solve	solve	VERB
iajs-549	34	21	specific	specific	ADJ
iajs-549	34	22	problems	problem	NOUN
iajs-549	34	23	.	.	PUNCT
iajs-549	35	1	ann	ann	PROPN
iajs-549	35	2	's	's	PART
iajs-549	35	3	,	,	PUNCT
iajs-549	35	4	like	like	ADP
iajs-549	35	5	people	people	NOUN
iajs-549	35	6	,	,	PUNCT
iajs-549	35	7	learn	learn	VERB
iajs-549	35	8	by	by	ADP
iajs-549	35	9	example	example	NOUN
iajs-549	35	10	.	.	PUNCT
iajs-549	36	1	an	an	DET
iajs-549	36	2	ann	ann	PROPN
iajs-549	36	3	is	be	AUX
iajs-549	36	4	configured	configure	VERB
iajs-549	36	5	for	for	ADP
iajs-549	36	6	a	a	DET
iajs-549	36	7	specific	specific	ADJ
iajs-549	36	8	application	application	NOUN
iajs-549	36	9	,	,	PUNCT
iajs-549	36	10	such	such	ADJ
iajs-549	36	11	as	as	ADP
iajs-549	36	12	pattern	pattern	NOUN
iajs-549	36	13	recognition	recognition	NOUN
iajs-549	36	14	or	or	CCONJ
iajs-549	36	15	data	datum	NOUN
iajs-549	36	16	classification	classification	NOUN
iajs-549	36	17	,	,	PUNCT
iajs-549	36	18	through	through	ADP
iajs-549	36	19	a	a	DET
iajs-549	36	20	learning	learning	NOUN
iajs-549	36	21	process	process	NOUN
iajs-549	36	22	.	.	PUNCT
iajs-549	37	1	learning	learn	VERB
iajs-549	37	2	in	in	ADP
iajs-549	37	3	biological	biological	ADJ
iajs-549	37	4	systems	system	NOUN
iajs-549	37	5	involves	involve	VERB
iajs-549	37	6	adjustments	adjustment	NOUN
iajs-549	37	7	to	to	ADP
iajs-549	37	8	the	the	DET
iajs-549	37	9	synaptic	synaptic	ADJ
iajs-549	37	10	connections	connection	NOUN
iajs-549	37	11	that	that	PRON
iajs-549	37	12	exist	exist	VERB
iajs-549	37	13	between	between	ADP
iajs-549	37	14	the	the	DET
iajs-549	37	15	neurons	neuron	NOUN
iajs-549	37	16	.	.	PUNCT
iajs-549	38	1	this	this	PRON
iajs-549	38	2	is	be	AUX
iajs-549	38	3	true	true	ADJ
iajs-549	38	4	of	of	ADP
iajs-549	38	5	ann	ann	PROPN
iajs-549	38	6	's	's	PART
iajs-549	38	7	as	as	ADV
iajs-549	38	8	well	well	ADV
iajs-549	38	9	.	.	PUNCT
iajs-549	39	1	that	that	PRON
iajs-549	39	2	is	be	AUX
iajs-549	39	3	artificial	artificial	ADJ
iajs-549	39	4	neural	neural	ADJ
iajs-549	39	5	networks	network	NOUN
iajs-549	39	6	are	be	AUX
iajs-549	39	7	relatively	relatively	ADV
iajs-549	39	8	crude	crude	ADJ
iajs-549	39	9	electronic	electronic	ADJ
iajs-549	39	10	models	model	NOUN
iajs-549	39	11	based	base	VERB
iajs-549	39	12	on	on	ADP
iajs-549	39	13	the	the	DET
iajs-549	39	14	neural	neural	ADJ
iajs-549	39	15	structure	structure	NOUN
iajs-549	39	16	of	of	ADP
iajs-549	39	17	the	the	DET
iajs-549	39	18	brain	brain	NOUN
iajs-549	39	19	.	.	PUNCT
iajs-549	40	1	the	the	DET
iajs-549	40	2	brain	brain	NOUN
iajs-549	40	3	basically	basically	ADV
iajs-549	40	4	learns	learn	VERB
iajs-549	40	5	from	from	ADP
iajs-549	40	6	experience	experience	NOUN
iajs-549	40	7	.	.	PUNCT
iajs-549	41	1	it	it	PRON
iajs-549	41	2	is	be	AUX
iajs-549	41	3	natural	natural	ADJ
iajs-549	41	4	proof	proof	NOUN
iajs-549	41	5	that	that	SCONJ
iajs-549	41	6	some	some	DET
iajs-549	41	7	problems	problem	NOUN
iajs-549	41	8	that	that	PRON
iajs-549	41	9	are	be	AUX
iajs-549	41	10	beyond	beyond	ADP
iajs-549	41	11	the	the	DET
iajs-549	41	12	scope	scope	NOUN
iajs-549	41	13	of	of	ADP
iajs-549	41	14	current	current	ADJ
iajs-549	41	15	computers	computer	NOUN
iajs-549	41	16	are	be	AUX
iajs-549	41	17	indeed	indeed	ADV
iajs-549	41	18	solvable	solvable	ADJ
iajs-549	41	19	by	by	ADP
iajs-549	41	20	small	small	ADJ
iajs-549	41	21	energy	energy	NOUN
iajs-549	41	22	efficient	efficient	ADJ
iajs-549	41	23	packages	package	NOUN
iajs-549	41	24	.	.	PUNCT
iajs-549	42	1	this	this	DET
iajs-549	42	2	brain	brain	NOUN
iajs-549	42	3	modeling	modeling	NOUN
iajs-549	42	4	also	also	ADV
iajs-549	42	5	promises	promise	VERB
iajs-549	42	6	a	a	DET
iajs-549	42	7	less	less	ADV
iajs-549	42	8	technical	technical	ADJ
iajs-549	42	9	way	way	NOUN
iajs-549	42	10	to	to	PART
iajs-549	42	11	develop	develop	VERB
iajs-549	42	12	machine	machine	NOUN
iajs-549	42	13	solutions	solution	NOUN
iajs-549	42	14	.	.	PUNCT
iajs-549	43	1	this	this	DET
iajs-549	43	2	new	new	ADJ
iajs-549	43	3	approach	approach	NOUN
iajs-549	43	4	to	to	ADP
iajs-549	43	5	computing	computing	NOUN
iajs-549	43	6	also	also	ADV
iajs-549	43	7	provides	provide	VERB
iajs-549	43	8	a	a	DET
iajs-549	43	9	more	more	ADV
iajs-549	43	10	graceful	graceful	ADJ
iajs-549	43	11	degra	degra	VERB
iajs-549	43	12	dat	dat	ADJ
iajs-549	43	13	ion	ion	NOUN
iajs-549	43	14	during	during	ADP
iajs-549	43	15	system	system	NOUN
iajs-549	43	16	over	over	ADP
iajs-549	43	17	loa	loa	PROPN
iajs-549	43	18	d	d	NOUN
iajs-549	43	19	tha	tha	NOUN
iajs-549	44	1	n	n	INTJ
iajs-549	45	1	i	i	PRON
iajs-549	45	2	t	t	X
iajs-549	45	3	s	s	VERB
iajs-549	45	4	more	more	ADJ
iajs-549	45	5	t	t	NOUN
iajs-549	45	6	radit	radit	NOUN
iajs-549	45	7	iona	iona	PROPN
iajs-549	45	8	l	l	PROPN
iajs-549	45	9	counterpar	counterpar	PROPN
iajs-549	45	10	t	t	PROPN
iajs-549	45	11	s	s	PART
iajs-549	45	12	.	.	PUNCT
iajs-549	46	1	these	these	DET
iajs-549	46	2	biologically	biologically	ADV
iajs-549	46	3	inspired	inspire	VERB
iajs-549	46	4	methods	method	NOUN
iajs-549	46	5	of	of	ADP
iajs-549	46	6	computing	computing	NOUN
iajs-549	46	7	are	be	AUX
iajs-549	46	8	thought	think	VERB
iajs-549	46	9	to	to	PART
iajs-549	46	10	be	be	AUX
iajs-549	46	11	the	the	DET
iajs-549	46	12	next	next	ADJ
iajs-549	46	13	major	major	ADJ
iajs-549	46	14	advancement	advancement	NOUN
iajs-549	46	15	in	in	ADP
iajs-549	46	16	the	the	DET
iajs-549	46	17	computing	computing	NOUN
iajs-549	46	18	industry	industry	NOUN
iajs-549	46	19	.	.	PUNCT
iajs-549	47	1	even	even	ADV
iajs-549	47	2	simple	simple	ADJ
iajs-549	47	3	animal	animal	NOUN
iajs-549	47	4	brains	brain	NOUN
iajs-549	47	5	are	be	AUX
iajs-549	47	6	capable	capable	ADJ
iajs-549	47	7	of	of	ADP
iajs-549	47	8	functions	function	NOUN
iajs-549	47	9	that	that	PRON
iajs-549	47	10	are	be	AUX
iajs-549	47	11	currently	currently	ADV
iajs-549	47	12	impossible	impossible	ADJ
iajs-549	47	13	for	for	ADP
iajs-549	47	14	computers	computer	NOUN
iajs-549	47	15	.	.	PUNCT
iajs-549	48	1	computers	computer	NOUN
iajs-549	48	2	do	do	AUX
iajs-549	48	3	rote	rote	VERB
iajs-549	48	4	things	thing	NOUN
iajs-549	48	5	well	well	ADV
iajs-549	48	6	,	,	PUNCT
iajs-549	48	7	like	like	ADP
iajs-549	48	8	keeping	keep	VERB
iajs-549	48	9	ledgers	ledger	NOUN
iajs-549	48	10	or	or	CCONJ
iajs-549	48	11	performing	perform	VERB
iajs-549	48	12	complex	complex	ADJ
iajs-549	48	13	math	math	NOUN
iajs-549	48	14	.	.	PUNCT
iajs-549	49	1	but	but	CCONJ
iajs-549	49	2	computers	computer	NOUN
iajs-549	49	3	have	have	VERB
iajs-549	49	4	trouble	trouble	NOUN
iajs-549	49	5	recognizing	recognize	VERB
iajs-549	49	6	even	even	ADV
iajs-549	49	7	simple	simple	ADJ
iajs-549	49	8	patterns	pattern	NOUN
iajs-549	49	9	much	much	ADV
iajs-549	49	10	less	less	ADV
iajs-549	49	11	generalizing	generalize	VERB
iajs-549	49	12	those	those	DET
iajs-549	49	13	patterns	pattern	NOUN
iajs-549	49	14	of	of	ADP
iajs-549	49	15	the	the	DET
iajs-549	49	16	past	past	NOUN
iajs-549	49	17	into	into	ADP
iajs-549	49	18	actions	action	NOUN
iajs-549	49	19	of	of	ADP
iajs-549	49	20	the	the	DET
iajs-549	49	21	future	future	NOUN
iajs-549	49	22	.	.	PUNCT
iajs-549	50	1	multilayer	multilayer	NOUN
iajs-549	50	2	feed	feed	NOUN
iajs-549	50	3	forward	forward	ADV
iajs-549	50	4	neural	neural	ADJ
iajs-549	50	5	network	network	NOUN
iajs-549	50	6	[	[	X
iajs-549	50	7	11	11	NUM
iajs-549	50	8	]	]	PUNCT
iajs-549	50	9	in	in	ADP
iajs-549	50	10	a	a	DET
iajs-549	50	11	layeredneural	layeredneural	ADJ
iajs-549	50	12	network	network	NOUN
iajs-549	50	13	the	the	DET
iajs-549	50	14	neurons	neuron	NOUN
iajs-549	50	15	are	be	AUX
iajs-549	50	16	organized	organize	VERB
iajs-549	50	17	in	in	ADP
iajs-549	50	18	the	the	DET
iajs-549	50	19	form	form	NOUN
iajs-549	50	20	of	of	ADP
iajs-549	50	21	layers	layer	NOUN
iajs-549	50	22	.	.	PUNCT
iajs-549	51	1	we	we	PRON
iajs-549	51	2	have	have	VERB
iajs-549	51	3	at	at	ADV
iajs-549	51	4	least	least	ADV
iajs-549	51	5	two	two	NUM
iajs-549	51	6	layers	layer	NOUN
iajs-549	51	7	:	:	PUNCT
iajs-549	51	8	an	an	DET
iajs-549	51	9	input	input	NOUN
iajs-549	51	10	and	and	CCONJ
iajs-549	51	11	an	an	DET
iajs-549	51	12	output	output	NOUN
iajs-549	51	13	layer	layer	NOUN
iajs-549	51	14	.	.	PUNCT
iajs-549	52	1	the	the	DET
iajs-549	52	2	layers	layer	NOUN
iajs-549	52	3	between	between	ADP
iajs-549	52	4	the	the	DET
iajs-549	52	5	input	input	NOUN
iajs-549	52	6	and	and	CCONJ
iajs-549	52	7	the	the	DET
iajs-549	52	8	output	output	NOUN
iajs-549	52	9	layer	layer	NOUN
iajs-549	52	10	(	(	PUNCT
iajs-549	52	11	if	if	SCONJ
iajs-549	52	12	any	any	PRON
iajs-549	52	13	)	)	PUNCT
iajs-549	52	14	are	be	AUX
iajs-549	52	15	called	call	VERB
iajs-549	52	16	hidden	hidden	ADJ
iajs-549	52	17	layers	layer	NOUN
iajs-549	52	18	,	,	PUNCT
iajs-549	52	19	whose	whose	DET
iajs-549	52	20	computation	computation	NOUN
iajs-549	52	21	nodes	node	NOUN
iajs-549	52	22	are	be	AUX
iajs-549	52	23	correspondingly	correspondingly	ADV
iajs-549	52	24	called	call	VERB
iajs-549	52	25	hidden	hidden	ADJ
iajs-549	52	26	neurons	neuron	NOUN
iajs-549	52	27	or	or	CCONJ
iajs-549	52	28	hidden	hidden	ADJ
iajs-549	52	29	units	unit	NOUN
iajs-549	52	30	.	.	PUNCT
iajs-549	53	1	the	the	DET
iajs-549	53	2	source	source	NOUN
iajs-549	53	3	nodes	nod	VERB
iajs-549	53	4	in	in	ADP
iajs-549	53	5	the	the	DET
iajs-549	53	6	input	input	NOUN
iajs-549	53	7	layer	layer	NOUN
iajs-549	53	8	of	of	ADP
iajs-549	53	9	the	the	DET
iajs-549	53	10	network	network	NOUN
iajs-549	53	11	supply	supply	NOUN
iajs-549	53	12	respective	respective	ADJ
iajs-549	53	13	elements	element	NOUN
iajs-549	53	14	of	of	ADP
iajs-549	53	15	the	the	DET
iajs-549	53	16	activation	activation	NOUN
iajs-549	53	17	pattern	pattern	NOUN
iajs-549	53	18	(	(	PUNCT
iajs-549	53	19	input	input	NOUN
iajs-549	53	20	vector	vector	NOUN
iajs-549	53	21	)	)	PUNCT
iajs-549	53	22	,	,	PUNCT
iajs-549	53	23	which	which	PRON
iajs-549	53	24	constitute	constitute	VERB
iajs-549	53	25	the	the	DET
iajs-549	53	26	input	input	NOUN
iajs-549	53	27	signals	signal	NOUN
iajs-549	53	28	applied	apply	VERB
iajs-549	53	29	to	to	ADP
iajs-549	53	30	the	the	DET
iajs-549	53	31	neurons	neuron	NOUN
iajs-549	53	32	(	(	PUNCT
iajs-549	53	33	computation	computation	NOUN
iajs-549	53	34	nodes	node	NOUN
iajs-549	53	35	)	)	PUNCT
iajs-549	53	36	in	in	ADP
iajs-549	53	37	the	the	DET
iajs-549	53	38	second	second	ADJ
iajs-549	53	39	layer	layer	NOUN
iajs-549	53	40	(	(	PUNCT
iajs-549	53	41	i.e.	i.e.	X
iajs-549	53	42	,	,	PUNCT
iajs-549	53	43	the	the	DET
iajs-549	53	44	first	first	ADJ
iajs-549	53	45	hidden	hide	VERB
iajs-549	53	46	layer	layer	NOUN
iajs-549	53	47	)	)	PUNCT
iajs-549	53	48	.	.	PUNCT
iajs-549	54	1	the	the	DET
iajs-549	54	2	output	output	NOUN
iajs-549	54	3	signals	signal	NOUN
iajs-549	54	4	of	of	ADP
iajs-549	54	5	the	the	DET
iajs-549	54	6	second	second	ADJ
iajs-549	54	7	layer	layer	NOUN
iajs-549	54	8	are	be	AUX
iajs-549	54	9	used	use	VERB
iajs-549	54	10	as	as	ADP
iajs-549	54	11	inputs	input	NOUN
iajs-549	54	12	to	to	ADP
iajs-549	54	13	the	the	DET
iajs-549	54	14	third	third	ADJ
iajs-549	54	15	layer	layer	NOUN
iajs-549	54	16	,	,	PUNCT
iajs-549	54	17	and	and	CCONJ
iajs-549	54	18	so	so	ADV
iajs-549	54	19	on	on	ADV
iajs-549	54	20	for	for	ADP
iajs-549	54	21	the	the	DET
iajs-549	54	22	rest	rest	NOUN
iajs-549	54	23	of	of	ADP
iajs-549	54	24	the	the	DET
iajs-549	54	25	network	network	NOUN
iajs-549	54	26	.	.	PUNCT
iajs-549	55	1	a	a	DET
iajs-549	55	2	layer	layer	NOUN
iajs-549	55	3	of	of	ADP
iajs-549	55	4	nodes	node	NOUN
iajs-549	55	5	projects	project	NOUN
iajs-549	55	6	onto	onto	ADP
iajs-549	55	7	the	the	DET
iajs-549	55	8	next	next	ADJ
iajs-549	55	9	layer	layer	NOUN
iajs-549	55	10	of	of	ADP
iajs-549	55	11	neurons	neuron	NOUN
iajs-549	55	12	(	(	PUNCT
iajs-549	55	13	computation	computation	NOUN
iajs-549	55	14	nodes	node	NOUN
iajs-549	55	15	)	)	PUNCT
iajs-549	55	16	,	,	PUNCT
iajs-549	55	17	but	but	CCONJ
iajs-549	55	18	not	not	PART
iajs-549	55	19	vice	vice	ADV
iajs-549	55	20	versa	versa	ADV
iajs-549	55	21	.	.	PUNCT
iajs-549	56	1	in	in	ADP
iajs-549	56	2	other	other	ADJ
iajs-549	56	3	words	word	NOUN
iajs-549	56	4	,	,	PUNCT
iajs-549	56	5	this	this	DET
iajs-549	56	6	network	network	NOUN
iajs-549	56	7	is	be	AUX
iajs-549	56	8	strictly	strictly	ADV
iajs-549	56	9	a	a	DET
iajs-549	56	10	feed	feed	NOUN
iajs-549	56	11	forward	forward	ADV
iajs-549	56	12	or	or	CCONJ
iajs-549	56	13	acyclic	acyclic	ADJ
iajs-549	56	14	type	type	NOUN
iajs-549	56	15	.	.	PUNCT
iajs-549	57	1	the	the	DET
iajs-549	57	2	neurons	neuron	NOUN
iajs-549	57	3	in	in	ADP
iajs-549	57	4	each	each	DET
iajs-549	57	5	layer	layer	NOUN
iajs-549	57	6	of	of	ADP
iajs-549	57	7	the	the	DET
iajs-549	57	8	network	network	NOUN
iajs-549	57	9	have	have	VERB
iajs-549	57	10	as	as	ADP
iajs-549	57	11	their	their	PRON
iajs-549	57	12	inputs	input	NOUN
iajs-549	57	13	the	the	DET
iajs-549	57	14	output	output	NOUN
iajs-549	57	15	signals	signal	NOUN
iajs-549	57	16	of	of	ADP
iajs-549	57	17	the	the	DET
iajs-549	57	18	preceding	precede	VERB
iajs-549	57	19	layer	layer	NOUN
iajs-549	57	20	only	only	ADV
iajs-549	57	21	.	.	PUNCT
iajs-549	58	1	the	the	DET
iajs-549	58	2	set	set	NOUN
iajs-549	58	3	of	of	ADP
iajs-549	58	4	output	output	NOUN
iajs-549	58	5	signals	signal	NOUN
iajs-549	58	6	of	of	ADP
iajs-549	58	7	the	the	DET
iajs-549	58	8	neurons	neuron	NOUN
iajs-549	58	9	in	in	ADP
iajs-549	58	10	the	the	DET
iajs-549	58	11	output	output	NOUN
iajs-549	58	12	(	(	PUNCT
iajs-549	58	13	final	final	ADJ
iajs-549	58	14	)	)	PUNCT
iajs-549	58	15	layer	layer	NOUN
iajs-549	58	16	of	of	ADP
iajs-549	58	17	the	the	DET
iajs-549	58	18	network	network	NOUN
iajs-549	58	19	constitutes	constitute	VERB
iajs-549	58	20	the	the	DET
iajs-549	58	21	overall	overall	ADJ
iajs-549	58	22	response	response	NOUN
iajs-549	58	23	of	of	ADP
iajs-549	58	24	the	the	DET
iajs-549	58	25	network	network	NOUN
iajs-549	58	26	to	to	ADP
iajs-549	58	27	the	the	DET
iajs-549	58	28	activation	activation	NOUN
iajs-549	58	29	pattern	pattern	NOUN
iajs-549	58	30	supplied	supply	VERB
iajs-549	58	31	by	by	ADP
iajs-549	58	32	the	the	DET
iajs-549	58	33	source	source	NOUN
iajs-549	58	34	nodes	node	NOUN
iajs-549	58	35	in	in	ADP
iajs-549	58	36	the	the	DET
iajs-549	58	37	input	input	NOUN
iajs-549	58	38	(	(	PUNCT
iajs-549	58	39	first	first	ADJ
iajs-549	58	40	)	)	PUNCT
iajs-549	58	41	layer	layer	NOUN
iajs-549	58	42	.	.	PUNCT
iajs-549	59	1	the	the	DET
iajs-549	59	2	function	function	NOUN
iajs-549	59	3	of	of	ADP
iajs-549	59	4	hidden	hide	VERB
iajs-549	59	5	neurons	neuron	NOUN
iajs-549	59	6	is	be	AUX
iajs-549	59	7	to	to	PART
iajs-549	59	8	intervene	intervene	VERB
iajs-549	59	9	between	between	ADP
iajs-549	59	10	the	the	DET
iajs-549	59	11	external	external	ADJ
iajs-549	59	12	input	input	NOUN
iajs-549	59	13	and	and	CCONJ
iajs-549	59	14	the	the	DET
iajs-549	59	15	network	network	NOUN
iajs-549	59	16	output	output	NOUN
iajs-549	59	17	in	in	ADP
iajs-549	59	18	some	some	DET
iajs-549	59	19	useful	useful	ADJ
iajs-549	59	20	manner	manner	NOUN
iajs-549	59	21	.	.	PUNCT
iajs-549	60	1	by	by	ADP
iajs-549	60	2	adding	add	VERB
iajs-549	60	3	one	one	NUM
iajs-549	60	4	or	or	CCONJ
iajs-549	60	5	more	more	ADV
iajs-549	60	6	hidden	hidden	ADJ
iajs-549	60	7	layers	layer	NOUN
iajs-549	60	8	,	,	PUNCT
iajs-549	60	9	the	the	DET
iajs-549	60	10	network	network	NOUN
iajs-549	60	11	is	be	AUX
iajs-549	60	12	enabled	enable	VERB
iajs-549	60	13	to	to	PART
iajs-549	60	14	extract	extract	VERB
iajs-549	60	15	high	high	ADJ
iajs-549	60	16	-	-	PUNCT
iajs-549	60	17	order	order	NOUN
iajs-549	60	18	statistics	statistic	NOUN
iajs-549	60	19	.	.	PUNCT
iajs-549	61	1	in	in	ADP
iajs-549	61	2	a	a	DET
iajs-549	61	3	rather	rather	ADV
iajs-549	61	4	loose	loose	ADJ
iajs-549	61	5	sense	sense	NOUN
iajs-549	61	6	the	the	DET
iajs-549	61	7	network	network	NOUN
iajs-549	61	8	acquires	acquire	VERB
iajs-549	61	9	a	a	DET
iajs-549	61	10	global	global	ADJ
iajs-549	61	11	perspective	perspective	NOUN
iajs-549	61	12	despite	despite	SCONJ
iajs-549	61	13	its	its	PRON
iajs-549	61	14	local	local	ADJ
iajs-549	61	15	connectivity	connectivity	NOUN
iajs-549	61	16	due	due	ADP
iajs-549	61	17	the	the	DET
iajs-549	61	18	extra	extra	ADJ
iajs-549	61	19	synaptic	synaptic	ADJ
iajs-549	61	20	connections	connection	NOUN
iajs-549	61	21	and	and	CCONJ
iajs-549	61	22	the	the	DET
iajs-549	61	23	extra	extra	ADJ
iajs-549	61	24	dimension	dimension	NOUN
iajs-549	61	25	of	of	ADP
iajs-549	61	26	neural	neural	ADJ
iajs-549	61	27	interactions	interaction	NOUN
iajs-549	61	28	.	.	PUNCT
iajs-549	62	1	the	the	DET
iajs-549	62	2	ann	ann	PROPN
iajs-549	62	3	is	be	AUX
iajs-549	62	4	said	say	VERB
iajs-549	62	5	to	to	PART
iajs-549	62	6	be	be	AUX
iajs-549	62	7	fully	fully	ADV
iajs-549	62	8	connected	connect	VERB
iajs-549	62	9	in	in	ADP
iajs-549	62	10	the	the	DET
iajs-549	62	11	sense	sense	NOUN
iajs-549	62	12	that	that	SCONJ
iajs-549	62	13	every	every	DET
iajs-549	62	14	node	node	NOUN
iajs-549	62	15	in	in	ADP
iajs-549	62	16	each	each	DET
iajs-549	62	17	layer	layer	NOUN
iajs-549	62	18	of	of	ADP
iajs-549	62	19	the	the	DET
iajs-549	62	20	network	network	NOUN
iajs-549	62	21	is	be	AUX
iajs-549	62	22	connected	connect	VERB
iajs-549	62	23	to	to	ADP
iajs-549	62	24	every	every	DET
iajs-549	62	25	other	other	ADJ
iajs-549	62	26	node	node	NOUN
iajs-549	62	27	in	in	ADP
iajs-549	62	28	the	the	DET
iajs-549	62	29	adjacent	adjacent	ADJ
iajs-549	62	30	forward	forward	ADJ
iajs-549	62	31	layer	layer	NOUN
iajs-549	62	32	(	(	PUNCT
iajs-549	62	33	otherwise	otherwise	ADV
iajs-549	62	34	the	the	DET
iajs-549	62	35	network	network	NOUN
iajs-549	62	36	is	be	AUX
iajs-549	62	37	called	call	VERB
iajs-549	62	38	partially	partially	ADV
iajs-549	62	39	connected	connect	VERB
iajs-549	62	40	description	description	NOUN
iajs-549	62	41	of	of	ADP
iajs-549	62	42	the	the	DET
iajs-549	62	43	method	method	NOUN
iajs-549	62	44	in	in	ADP
iajs-549	62	45	this	this	DET
iajs-549	62	46	section	section	NOUN
iajs-549	62	47	we	we	PRON
iajs-549	62	48	will	will	AUX
iajs-549	62	49	illustrate	illustrate	VERB
iajs-549	62	50	how	how	SCONJ
iajs-549	62	51	our	our	PRON
iajs-549	62	52	approach	approach	NOUN
iajs-549	62	53	can	can	AUX
iajs-549	62	54	be	be	AUX
iajs-549	62	55	used	use	VERB
iajs-549	62	56	to	to	PART
iajs-549	62	57	find	find	VERB
iajs-549	62	58	the	the	DET
iajs-549	62	59	approximate	approximate	ADJ
iajs-549	62	60	solution	solution	NOUN
iajs-549	62	61	of	of	ADP
iajs-549	62	62	the	the	DET
iajs-549	62	63	equation(1	equation(1	NOUN
iajs-549	62	64	)	)	PUNCT
iajs-549	62	65	,	,	PUNCT
iajs-549	62	66	let	let	VERB
iajs-549	62	67	y(x)denotes	y(x)denote	NOUN
iajs-549	62	68	the	the	DET
iajs-549	62	69	solution	solution	NOUN
iajs-549	62	70	to	to	PART
iajs-549	62	71	be	be	AUX
iajs-549	62	72	computed	compute	VERB
iajs-549	62	73	,	,	PUNCT
iajs-549	62	74	yt(x	yt(x	INTJ
iajs-549	62	75	,	,	PUNCT
iajs-549	62	76	p	p	NOUN
iajs-549	62	77	)	)	PUNCT
iajs-549	62	78	denotes	denote	VERB
iajs-549	62	79	a	a	DET
iajs-549	62	80	trial	trial	NOUN
iajs-549	62	81	solution	solution	NOUN
iajs-549	62	82	with	with	ADP
iajs-549	62	83	adjustable	adjustable	ADJ
iajs-549	62	84	parameters	parameter	NOUN
iajs-549	62	85	p	p	NOUN
iajs-549	62	86	,	,	PUNCT
iajs-549	62	87	and	and	CCONJ
iajs-549	62	88	ya(x	ya(x	NOUN
iajs-549	62	89	)	)	PUNCT
iajs-549	62	90	denotes	denote	VERB
iajs-549	62	91	analytic	analytic	ADJ
iajs-549	62	92	solution	solution	NOUN
iajs-549	62	93	.	.	PUNCT
iajs-549	63	1	in	in	ADP
iajs-549	63	2	the	the	DET
iajs-549	63	3	our	our	PRON
iajs-549	63	4	proposed	propose	VERB
iajs-549	63	5	approach	approach	NOUN
iajs-549	63	6	,	,	PUNCT
iajs-549	63	7	the	the	DET
iajs-549	63	8	trial	trial	NOUN
iajs-549	63	9	solution	solution	NOUN
iajs-549	63	10	yt	yt	NOUN
iajs-549	63	11	employs	employ	VERB
iajs-549	63	12	a	a	DET
iajs-549	63	13	ffnn	ffnn	NOUN
iajs-549	63	14	and	and	CCONJ
iajs-549	63	15	the	the	DET
iajs-549	63	16	parameters	parameter	NOUN
iajs-549	63	17	p	p	NOUN
iajs-549	63	18	correspond	correspond	NOUN
iajs-549	63	19	to	to	ADP
iajs-549	63	20	the	the	DET
iajs-549	63	21	weights	weight	NOUN
iajs-549	63	22	and	and	CCONJ
iajs-549	63	23	biases	bias	NOUN
iajs-549	63	24	of	of	ADP
iajs-549	63	25	the	the	DET
iajs-549	63	26	neural	neural	ADJ
iajs-549	63	27	architecture	architecture	NOUN
iajs-549	63	28	.	.	PUNCT
iajs-549	64	1	we	we	PRON
iajs-549	64	2	choose	choose	VERB
iajs-549	64	3	a	a	DET
iajs-549	64	4	form	form	NOUN
iajs-549	64	5	for	for	ADP
iajs-549	64	6	the	the	DET
iajs-549	64	7	trial	trial	NOUN
iajs-549	64	8	mathematics	mathematic	NOUN
iajs-549	64	9	318	318	NUM
iajs-549	64	10	مجلة	مجلة	NOUN
iajs-549	64	11	إبن	إبن	VERB
iajs-549	64	12	الهيثم	الهيثم	ADJ
iajs-549	64	13	للعلوم	للعلوم	NOUN
iajs-549	64	14	الصرفة	الصرفة	NOUN
iajs-549	64	15	و	و	PRON
iajs-549	64	16	التطبيقية	التطبيقية	ADJ
iajs-549	64	17	2012	2012	NUM
iajs-549	64	18	السنة	السنة	NOUN
iajs-549	65	1	25	25	NUM
iajs-549	65	2	المجلد	المجلد	NOUN
iajs-549	65	3	3	3	NUM
iajs-549	65	4	العدد	العدد	PROPN
iajs-549	65	5	ibn	ibn	PROPN
iajs-549	65	6	al	al	PROPN
iajs-549	65	7	-	-	PUNCT
iajs-549	65	8	haitham	haitham	PROPN
iajs-549	65	9	journal	journal	PROPN
iajs-549	65	10	for	for	ADP
iajs-549	65	11	pure	pure	ADJ
iajs-549	65	12	and	and	CCONJ
iajs-549	65	13	applied	apply	VERB
iajs-549	65	14	science	science	NOUN
iajs-549	65	15	no	no	NOUN
iajs-549	65	16	.	.	NOUN
iajs-549	65	17	3	3	NUM
iajs-549	65	18	vol	vol	NOUN
iajs-549	65	19	.	.	PUNCT
iajs-549	65	20	25	25	NUM
iajs-549	65	21	year	year	NOUN
iajs-549	65	22	2012	2012	NUM
iajs-549	65	23	function	function	NOUN
iajs-549	65	24	yt(x	yt(x	NOUN
iajs-549	65	25	)	)	PUNCT
iajs-549	65	26	such	such	ADJ
iajs-549	65	27	that	that	SCONJ
iajs-549	65	28	it	it	PRON
iajs-549	65	29	satisfies	satisfy	VERB
iajs-549	65	30	the	the	DET
iajs-549	65	31	bc	bc	PROPN
iajs-549	65	32	’s	’s	PART
iajs-549	65	33	.	.	PUNCT
iajs-549	66	1	this	this	PRON
iajs-549	66	2	is	be	AUX
iajs-549	66	3	achieved	achieve	VERB
iajs-549	66	4	by	by	ADP
iajs-549	66	5	writing	write	VERB
iajs-549	66	6	it	it	PRON
iajs-549	66	7	as	as	ADP
iajs-549	66	8	a	a	DET
iajs-549	66	9	sum	sum	NOUN
iajs-549	66	10	of	of	ADP
iajs-549	66	11	two	two	NUM
iajs-549	66	12	terms	term	NOUN
iajs-549	66	13	:	:	PUNCT
iajs-549	66	14	yt(xi	yt(xi	X
iajs-549	66	15	,	,	PUNCT
iajs-549	66	16	p	p	NOUN
iajs-549	66	17	)	)	PUNCT
iajs-549	66	18	=	=	SYM
iajs-549	66	19	a(x	a(x	NOUN
iajs-549	66	20	)	)	PUNCT
iajs-549	66	21	+	+	CCONJ
iajs-549	66	22	f(x	f(x	PROPN
iajs-549	66	23	,	,	PUNCT
iajs-549	66	24	n(x	n(x	PROPN
iajs-549	66	25	,	,	PUNCT
iajs-549	66	26	p	p	NOUN
iajs-549	66	27	)	)	PUNCT
iajs-549	66	28	)	)	PUNCT
iajs-549	66	29	(	(	PUNCT
iajs-549	66	30	2	2	X
iajs-549	66	31	)	)	PUNCT
iajs-549	66	32	where	where	SCONJ
iajs-549	66	33	n(x	n(x	PROPN
iajs-549	66	34	,	,	PUNCT
iajs-549	66	35	p	p	NOUN
iajs-549	66	36	)	)	PUNCT
iajs-549	66	37	is	be	AUX
iajs-549	66	38	a	a	DET
iajs-549	66	39	single	single	ADJ
iajs-549	66	40	-	-	PUNCT
iajs-549	66	41	output	output	NOUN
iajs-549	66	42	ffnn	ffnn	NOUN
iajs-549	66	43	with	with	ADP
iajs-549	66	44	parameters	parameter	NOUN
iajs-549	66	45	p	p	NOUN
iajs-549	66	46	and	and	CCONJ
iajs-549	66	47	one	one	NUM
iajs-549	66	48	input	input	NOUN
iajs-549	66	49	unit	unit	NOUN
iajs-549	66	50	fed	feed	VERB
iajs-549	66	51	with	with	ADP
iajs-549	66	52	the	the	DET
iajs-549	66	53	input	input	NOUN
iajs-549	66	54	vector	vector	NOUN
iajs-549	66	55	x	x	PUNCT
iajs-549	66	56	.the	.the	DET
iajs-549	66	57	term	term	NOUN
iajs-549	66	58	a(x	a(x	NOUN
iajs-549	66	59	)	)	PUNCT
iajs-549	66	60	contains	contain	VERB
iajs-549	66	61	no	no	DET
iajs-549	66	62	adjustable	adjustable	ADJ
iajs-549	66	63	parameters	parameter	NOUN
iajs-549	66	64	and	and	CCONJ
iajs-549	66	65	satisfies	satisfy	VERB
iajs-549	66	66	the	the	DET
iajs-549	66	67	boundary	boundary	ADJ
iajs-549	66	68	conditions	condition	NOUN
iajs-549	66	69	.	.	PUNCT
iajs-549	67	1	the	the	DET
iajs-549	67	2	second	second	ADJ
iajs-549	67	3	term	term	NOUN
iajs-549	67	4	f	f	PROPN
iajs-549	67	5	is	be	AUX
iajs-549	67	6	constructed	construct	VERB
iajs-549	67	7	so	so	ADV
iajs-549	67	8	as	as	SCONJ
iajs-549	67	9	not	not	PART
iajs-549	67	10	to	to	PART
iajs-549	67	11	contribute	contribute	VERB
iajs-549	67	12	to	to	ADP
iajs-549	67	13	the	the	DET
iajs-549	67	14	bc	bc	PROPN
iajs-549	67	15	’s	’s	PART
iajs-549	67	16	,	,	PUNCT
iajs-549	67	17	since	since	SCONJ
iajs-549	67	18	yt(x	yt(x	NOUN
iajs-549	67	19	)	)	PUNCT
iajs-549	67	20	satisfy	satisfy	VERB
iajs-549	67	21	them	they	PRON
iajs-549	67	22	.	.	PUNCT
iajs-549	68	1	this	this	DET
iajs-549	68	2	term	term	NOUN
iajs-549	68	3	can	can	AUX
iajs-549	68	4	be	be	AUX
iajs-549	68	5	formed	form	VERB
iajs-549	68	6	by	by	ADP
iajs-549	68	7	using	use	VERB
iajs-549	68	8	a	a	DET
iajs-549	68	9	ffnn	ffnn	NOUN
iajs-549	68	10	whose	whose	DET
iajs-549	68	11	weights	weight	NOUN
iajs-549	68	12	and	and	CCONJ
iajs-549	68	13	biases	bias	NOUN
iajs-549	68	14	are	be	AUX
iajs-549	68	15	to	to	PART
iajs-549	68	16	be	be	AUX
iajs-549	68	17	adjusted	adjust	VERB
iajs-549	68	18	in	in	ADP
iajs-549	68	19	order	order	NOUN
iajs-549	68	20	to	to	PART
iajs-549	68	21	deal	deal	VERB
iajs-549	68	22	with	with	ADP
iajs-549	68	23	the	the	DET
iajs-549	68	24	minimization	minimization	NOUN
iajs-549	68	25	problem	problem	NOUN
iajs-549	68	26	.	.	PUNCT
iajs-549	69	1	computation	computation	NOUN
iajs-549	69	2	of	of	ADP
iajs-549	69	3	the	the	DET
iajs-549	69	4	gradient	gradient	NOUN
iajs-549	69	5	an	an	DET
iajs-549	69	6	efficient	efficient	ADJ
iajs-549	69	7	minimization	minimization	NOUN
iajs-549	69	8	of	of	ADP
iajs-549	69	9	(	(	PUNCT
iajs-549	69	10	2	2	X
iajs-549	69	11	)	)	PUNCT
iajs-549	69	12	can	can	AUX
iajs-549	69	13	be	be	AUX
iajs-549	69	14	considered	consider	VERB
iajs-549	69	15	as	as	ADP
iajs-549	69	16	a	a	DET
iajs-549	69	17	procedure	procedure	NOUN
iajs-549	69	18	of	of	ADP
iajs-549	69	19	training	train	VERB
iajs-549	69	20	the	the	DET
iajs-549	69	21	ffnn	ffnn	NOUN
iajs-549	69	22	,	,	PUNCT
iajs-549	69	23	where	where	SCONJ
iajs-549	69	24	the	the	DET
iajs-549	69	25	error	error	NOUN
iajs-549	69	26	corresponding	correspond	VERB
iajs-549	69	27	to	to	ADP
iajs-549	69	28	each	each	DET
iajs-549	69	29	input	input	NOUN
iajs-549	69	30	vector	vector	NOUN
iajs-549	69	31	xi	xi	PROPN
iajs-549	69	32	is	be	AUX
iajs-549	69	33	the	the	DET
iajs-549	69	34	value	value	NOUN
iajs-549	69	35	e	e	X
iajs-549	69	36	(	(	PUNCT
iajs-549	69	37	xi	xi	PROPN
iajs-549	69	38	)	)	PUNCT
iajs-549	69	39	which	which	PRON
iajs-549	69	40	has	have	VERB
iajs-549	69	41	to	to	PART
iajs-549	69	42	forced	force	VERB
iajs-549	69	43	near	near	ADP
iajs-549	69	44	zero	zero	NUM
iajs-549	69	45	.	.	PUNCT
iajs-549	70	1	computation	computation	NOUN
iajs-549	70	2	of	of	ADP
iajs-549	70	3	this	this	DET
iajs-549	70	4	error	error	NOUN
iajs-549	70	5	value	value	NOUN
iajs-549	70	6	involves	involve	VERB
iajs-549	70	7	not	not	PART
iajs-549	70	8	only	only	ADV
iajs-549	70	9	the	the	DET
iajs-549	70	10	ffnn	ffnn	NOUN
iajs-549	70	11	output	output	NOUN
iajs-549	70	12	but	but	CCONJ
iajs-549	70	13	also	also	ADV
iajs-549	70	14	the	the	DET
iajs-549	70	15	derivatives	derivative	NOUN
iajs-549	70	16	of	of	ADP
iajs-549	70	17	the	the	DET
iajs-549	70	18	output	output	NOUN
iajs-549	70	19	with	with	ADP
iajs-549	70	20	respect	respect	NOUN
iajs-549	70	21	to	to	ADP
iajs-549	70	22	any	any	PRON
iajs-549	70	23	of	of	ADP
iajs-549	70	24	its	its	PRON
iajs-549	70	25	inputs	input	NOUN
iajs-549	70	26	.	.	PUNCT
iajs-549	71	1	therefore	therefore	ADV
iajs-549	71	2	,	,	PUNCT
iajs-549	71	3	in	in	ADP
iajs-549	71	4	computing	compute	VERB
iajs-549	71	5	the	the	DET
iajs-549	71	6	gradient	gradient	NOUN
iajs-549	71	7	of	of	ADP
iajs-549	71	8	the	the	DET
iajs-549	71	9	error	error	NOUN
iajs-549	71	10	with	with	ADP
iajs-549	71	11	respect	respect	NOUN
iajs-549	71	12	to	to	ADP
iajs-549	71	13	the	the	DET
iajs-549	71	14	network	network	NOUN
iajs-549	71	15	weights	weight	NOUN
iajs-549	71	16	.	.	PUNCT
iajs-549	72	1	consider	consider	VERB
iajs-549	72	2	a	a	DET
iajs-549	72	3	multi	multi	ADJ
iajs-549	72	4	layer	layer	NOUN
iajs-549	72	5	ffnn	ffnn	NOUN
iajs-549	72	6	with	with	ADP
iajs-549	72	7	one	one	NUM
iajs-549	72	8	input	input	NOUN
iajs-549	72	9	unit	unit	NOUN
iajs-549	72	10	,	,	PUNCT
iajs-549	72	11	one	one	NUM
iajs-549	72	12	hidden	hide	VERB
iajs-549	72	13	layer	layer	NOUN
iajs-549	72	14	with	with	ADP
iajs-549	72	15	h	h	NOUN
iajs-549	72	16	sigmoid	sigmoid	NOUN
iajs-549	72	17	units	unit	NOUN
iajs-549	72	18	and	and	CCONJ
iajs-549	72	19	a	a	DET
iajs-549	72	20	linear	linear	ADJ
iajs-549	72	21	output	output	NOUN
iajs-549	72	22	unit	unit	NOUN
iajs-549	72	23	.	.	PUNCT
iajs-549	73	1	for	for	ADP
iajs-549	73	2	a	a	DET
iajs-549	73	3	given	give	VERB
iajs-549	73	4	input	input	NOUN
iajs-549	73	5	vector	vector	NOUN
iajs-549	73	6	x	x	NOUN
iajs-549	73	7	=(	=(	PROPN
iajs-549	73	8	x1	x1	PROPN
iajs-549	73	9	,	,	PUNCT
iajs-549	73	10	x2	x2	PROPN
iajs-549	73	11	,	,	PUNCT
iajs-549	73	12	…	…	PUNCT
iajs-549	73	13	,	,	PUNCT
iajs-549	73	14	xn	xn	PROPN
iajs-549	73	15	)	)	PUNCT
iajs-549	74	1	the	the	DET
iajs-549	74	2	output	output	NOUN
iajs-549	74	3	of	of	ADP
iajs-549	74	4	the	the	DET
iajs-549	74	5	ffnn	ffnn	NOUN
iajs-549	74	6	is	be	AUX
iajs-549	74	7	:	:	PUNCT
iajs-549	74	8	n	n	X
iajs-549	74	9	=	=	SYM
iajs-549	74	10	h	h	NOUN
iajs-549	75	1	i	i	PRON
iajs-549	75	2	i	i	PRON
iajs-549	75	3	i	i	VERB
iajs-549	75	4	1	1	NUM
iajs-549	75	5	(	(	PUNCT
iajs-549	75	6	z	z	NOUN
iajs-549	75	7	)	)	PUNCT
iajs-549	76	1	=	=	PUNCT
iajs-549	76	2	ν	ν	PRON
iajs-549	76	3	σ∑	σ∑	NOUN
iajs-549	76	4	,	,	PUNCT
iajs-549	76	5	where	where	SCONJ
iajs-549	76	6	zi=	zi=	PROPN
iajs-549	76	7	n	n	CCONJ
iajs-549	77	1	ij	ij	INTJ
iajs-549	78	1	j	j	PROPN
iajs-549	79	1	i	i	PRON
iajs-549	79	2	j	j	PROPN
iajs-549	79	3	1	1	NUM
iajs-549	79	4	w	w	PROPN
iajs-549	79	5	x	x	SYM
iajs-549	79	6	b	b	PROPN
iajs-549	79	7	=	=	SYM
iajs-549	79	8	+	+	ADJ
iajs-549	79	9	∑	∑	PROPN
iajs-549	79	10	(	(	PUNCT
iajs-549	79	11	3	3	NUM
iajs-549	79	12	)	)	PUNCT
iajs-549	79	13	wij	wij	PROPN
iajs-549	79	14	denotes	denote	VERB
iajs-549	79	15	the	the	DET
iajs-549	79	16	weight	weight	NOUN
iajs-549	79	17	connecting	connect	VERB
iajs-549	79	18	the	the	DET
iajs-549	79	19	input	input	NOUN
iajs-549	79	20	unit	unit	NOUN
iajs-549	79	21	j	j	PROPN
iajs-549	79	22	to	to	ADP
iajs-549	79	23	the	the	DET
iajs-549	79	24	hidden	hide	VERB
iajs-549	79	25	unit	unit	NOUN
iajs-549	79	26	i	i	PRON
iajs-549	79	27	,	,	PUNCT
iajs-549	79	28	vi	vi	PROPN
iajs-549	79	29	denotes	denote	VERB
iajs-549	79	30	the	the	DET
iajs-549	79	31	weight	weight	NOUN
iajs-549	79	32	connecting	connect	VERB
iajs-549	79	33	the	the	DET
iajs-549	79	34	hidden	hide	VERB
iajs-549	79	35	unit	unit	NOUN
iajs-549	79	36	i	i	PRON
iajs-549	79	37	to	to	ADP
iajs-549	79	38	the	the	DET
iajs-549	79	39	out	out	ADP
iajs-549	79	40	put	put	NOUN
iajs-549	79	41	unit	unit	NOUN
iajs-549	79	42	,	,	PUNCT
iajs-549	79	43	bi	bi	NOUN
iajs-549	79	44	denotes	denote	VERB
iajs-549	79	45	the	the	DET
iajs-549	79	46	bias	bias	NOUN
iajs-549	79	47	of	of	ADP
iajs-549	79	48	hidden	hide	VERB
iajs-549	79	49	unit	unit	NOUN
iajs-549	79	50	i	i	PRON
iajs-549	79	51	,	,	PUNCT
iajs-549	79	52	and	and	CCONJ
iajs-549	79	53	σ	σ	PROPN
iajs-549	79	54	(	(	PUNCT
iajs-549	79	55	z	z	NOUN
iajs-549	79	56	)	)	PUNCT
iajs-549	79	57	is	be	AUX
iajs-549	79	58	the	the	DET
iajs-549	79	59	sigmoid	sigmoid	NOUN
iajs-549	79	60	transfer	transfer	NOUN
iajs-549	79	61	function	function	NOUN
iajs-549	79	62	(	(	PUNCT
iajs-549	79	63	logsig	logsig	NOUN
iajs-549	79	64	)	)	PUNCT
iajs-549	79	65	.	.	PUNCT
iajs-549	80	1	the	the	DET
iajs-549	80	2	gradient	gradient	NOUN
iajs-549	80	3	of	of	ADP
iajs-549	80	4	ffnn	ffnn	NOUN
iajs-549	80	5	,	,	PUNCT
iajs-549	80	6	with	with	ADP
iajs-549	80	7	respect	respect	NOUN
iajs-549	80	8	to	to	ADP
iajs-549	80	9	the	the	DET
iajs-549	80	10	parameters	parameter	NOUN
iajs-549	80	11	of	of	ADP
iajs-549	80	12	the	the	DET
iajs-549	80	13	ffnn	ffnn	NOUN
iajs-549	80	14	can	can	AUX
iajs-549	80	15	be	be	AUX
iajs-549	80	16	easily	easily	ADV
iajs-549	80	17	obtained	obtain	VERB
iajs-549	80	18	as	as	ADP
iajs-549	80	19	:	:	PUNCT
iajs-549	80	20	i	i	PROPN
iajs-549	80	21	n∂	n∂	X
iajs-549	80	22	∂ν	∂ν	PROPN
iajs-549	80	23	=	=	PROPN
iajs-549	80	24	σ	σ	PROPN
iajs-549	80	25	(	(	PUNCT
iajs-549	80	26	zi	zi	NOUN
iajs-549	80	27	)	)	PUNCT
iajs-549	80	28	(	(	PUNCT
iajs-549	80	29	4	4	X
iajs-549	80	30	)	)	PUNCT
iajs-549	80	31	i	i	PRON
iajs-549	80	32	n	n	PROPN
iajs-549	80	33	b	b	PROPN
iajs-549	80	34	∂	∂	NUM
iajs-549	80	35	∂	∂	NUM
iajs-549	80	36	=	=	SYM
iajs-549	80	37	viσ′(zi	viσ′(zi	PROPN
iajs-549	80	38	)	)	PUNCT
iajs-549	80	39	(	(	PUNCT
iajs-549	80	40	5	5	X
iajs-549	80	41	)	)	PUNCT
iajs-549	80	42	ij	ij	NOUN
iajs-549	80	43	n	n	PROPN
iajs-549	80	44	w	w	PROPN
iajs-549	80	45	∂	∂	NUM
iajs-549	80	46	∂	∂	NUM
iajs-549	81	1	=	=	NUM
iajs-549	81	2	viσ′(zi)xj	viσ′(zi)xj	NOUN
iajs-549	81	3	(	(	PUNCT
iajs-549	81	4	6	6	NUM
iajs-549	81	5	)	)	PUNCT
iajs-549	81	6	once	once	SCONJ
iajs-549	81	7	the	the	DET
iajs-549	81	8	derivative	derivative	NOUN
iajs-549	81	9	of	of	ADP
iajs-549	81	10	the	the	DET
iajs-549	81	11	error	error	NOUN
iajs-549	81	12	with	with	ADP
iajs-549	81	13	respect	respect	NOUN
iajs-549	81	14	to	to	ADP
iajs-549	81	15	the	the	DET
iajs-549	81	16	network	network	NOUN
iajs-549	81	17	parameters	parameter	NOUN
iajs-549	81	18	has	have	AUX
iajs-549	81	19	been	be	AUX
iajs-549	81	20	defined	define	VERB
iajs-549	81	21	,	,	PUNCT
iajs-549	81	22	then	then	ADV
iajs-549	81	23	it	it	PRON
iajs-549	81	24	is	be	AUX
iajs-549	81	25	a	a	DET
iajs-549	81	26	straight	straight	ADJ
iajs-549	81	27	forward	forward	ADV
iajs-549	81	28	to	to	PART
iajs-549	81	29	employ	employ	VERB
iajs-549	81	30	any	any	DET
iajs-549	81	31	minimization	minimization	NOUN
iajs-549	81	32	technique	technique	NOUN
iajs-549	81	33	and	and	CCONJ
iajs-549	81	34	we	we	PRON
iajs-549	81	35	will	will	AUX
iajs-549	81	36	use	use	VERB
iajs-549	81	37	cg	cg	NOUN
iajs-549	81	38	method	method	NOUN
iajs-549	81	39	.	.	PUNCT
iajs-549	82	1	it	it	PRON
iajs-549	82	2	must	must	AUX
iajs-549	82	3	also	also	ADV
iajs-549	82	4	be	be	AUX
iajs-549	82	5	noted	note	VERB
iajs-549	82	6	,	,	PUNCT
iajs-549	82	7	the	the	DET
iajs-549	82	8	batch	batch	NOUN
iajs-549	82	9	mode	mode	NOUN
iajs-549	82	10	of	of	ADP
iajs-549	82	11	weight	weight	NOUN
iajs-549	82	12	updates	update	NOUN
iajs-549	82	13	may	may	AUX
iajs-549	82	14	be	be	AUX
iajs-549	82	15	employed	employ	VERB
iajs-549	82	16	.	.	PUNCT
iajs-549	83	1	conjugate	conjugate	ADJ
iajs-549	83	2	gradient	gradient	ADJ
iajs-549	83	3	algorithms	algorithm	NOUN
iajs-549	83	4	[	[	X
iajs-549	83	5	12	12	NUM
iajs-549	83	6	]	]	PUNCT
iajs-549	83	7	all	all	DET
iajs-549	83	8	conjugate	conjugate	NOUN
iajs-549	83	9	-	-	PUNCT
iajs-549	83	10	gradient	gradient	NOUN
iajs-549	83	11	(	(	PUNCT
iajs-549	83	12	cg	cg	NOUN
iajs-549	83	13	)	)	PUNCT
iajs-549	83	14	algorithms	algorithm	NOUN
iajs-549	83	15	start	start	VERB
iajs-549	83	16	bysearching	bysearche	VERB
iajs-549	83	17	in	in	ADP
iajs-549	83	18	the	the	DET
iajs-549	83	19	steepest	steep	ADJ
iajs-549	83	20	descent	descent	NOUN
iajs-549	83	21	direction	direction	NOUN
iajs-549	83	22	(	(	PUNCT
iajs-549	83	23	negative	negative	ADJ
iajs-549	83	24	of	of	ADP
iajs-549	83	25	the	the	DET
iajs-549	83	26	gradient	gradient	NOUN
iajs-549	83	27	)	)	PUNCT
iajs-549	83	28	for	for	ADP
iajs-549	83	29	the	the	DET
iajs-549	83	30	first	first	ADJ
iajs-549	83	31	iteration	iteration	NOUN
iajs-549	83	32	,	,	PUNCT
iajs-549	83	33	we	we	PRON
iajs-549	83	34	set	set	VERB
iajs-549	83	35	ρ0	ρ0	PROPN
iajs-549	84	1	=	=	NOUN
iajs-549	84	2	−g0	−g0	PROPN
iajs-549	84	3	where	where	SCONJ
iajs-549	84	4	g0	g0	PROPN
iajs-549	84	5	is	be	AUX
iajs-549	84	6	the	the	DET
iajs-549	84	7	gradient	gradient	NOUN
iajs-549	84	8	of	of	ADP
iajs-549	84	9	the	the	DET
iajs-549	84	10	error	error	NOUN
iajs-549	84	11	with	with	ADP
iajs-549	84	12	respect	respect	NOUN
iajs-549	84	13	to	to	ADP
iajs-549	84	14	the	the	DET
iajs-549	84	15	weights	weight	NOUN
iajs-549	84	16	,	,	PUNCT
iajs-549	84	17	bias	bias	NOUN
iajs-549	84	18	on	on	ADP
iajs-549	84	19	the	the	DET
iajs-549	84	20	first	first	ADJ
iajs-549	84	21	iteration	iteration	NOUN
iajs-549	84	22	.	.	PUNCT
iajs-549	85	1	a	a	DET
iajs-549	85	2	line	line	NOUN
iajs-549	85	3	search	search	NOUN
iajs-549	85	4	is	be	AUX
iajs-549	85	5	then	then	ADV
iajs-549	85	6	performed	perform	VERB
iajs-549	85	7	to	to	PART
iajs-549	85	8	determine	determine	VERB
iajs-549	85	9	the	the	DET
iajs-549	85	10	optimal	optimal	ADJ
iajs-549	85	11	distance	distance	NOUN
iajs-549	85	12	to	to	PART
iajs-549	85	13	move	move	VERB
iajs-549	85	14	along	along	ADP
iajs-549	85	15	the	the	DET
iajs-549	85	16	current	current	ADJ
iajs-549	85	17	search	search	NOUN
iajs-549	85	18	direction	direction	NOUN
iajs-549	85	19	:	:	PUNCT
iajs-549	85	20	wk+1	wk+1	X
iajs-549	85	21	=	=	NOUN
iajs-549	85	22	wk	wk	NOUN
iajs-549	85	23	+	+	CCONJ
iajs-549	85	24	αk	αk	ADP
iajs-549	85	25	ρk	ρk	INTJ
iajs-549	85	26	.	.	PUNCT
iajs-549	86	1	then	then	ADV
iajs-549	86	2	the	the	DET
iajs-549	86	3	next	next	ADJ
iajs-549	86	4	search	search	NOUN
iajs-549	86	5	direction	direction	NOUN
iajs-549	86	6	is	be	AUX
iajs-549	86	7	determined	determine	VERB
iajs-549	86	8	so	so	SCONJ
iajs-549	86	9	that	that	SCONJ
iajs-549	86	10	it	it	PRON
iajs-549	86	11	is	be	AUX
iajs-549	86	12	conjugate	conjugate	ADJ
iajs-549	86	13	to	to	ADP
iajs-549	86	14	previous	previous	ADJ
iajs-549	86	15	search	search	NOUN
iajs-549	86	16	directions	direction	NOUN
iajs-549	86	17	.	.	PUNCT
iajs-549	87	1	the	the	DET
iajs-549	87	2	general	general	ADJ
iajs-549	87	3	procedure	procedure	NOUN
iajs-549	87	4	for	for	ADP
iajs-549	87	5	determining	determine	VERB
iajs-549	87	6	the	the	DET
iajs-549	87	7	new	new	ADJ
iajs-549	87	8	search	search	NOUN
iajs-549	87	9	direction	direction	NOUN
iajs-549	87	10	is	be	AUX
iajs-549	87	11	to	to	PART
iajs-549	87	12	combine	combine	VERB
iajs-549	87	13	the	the	DET
iajs-549	87	14	new	new	ADJ
iajs-549	87	15	steepest	steep	ADJ
iajs-549	87	16	descent	descent	NOUN
iajs-549	87	17	direction	direction	NOUN
iajs-549	87	18	with	with	ADP
iajs-549	87	19	the	the	DET
iajs-549	87	20	previous	previous	ADJ
iajs-549	87	21	search	search	NOUN
iajs-549	87	22	direction	direction	NOUN
iajs-549	87	23	:	:	PUNCT
iajs-549	87	24	ρk=−gk+	ρk=−gk+	NOUN
iajs-549	87	25	βkρk−1	βkρk−1	PUNCT
iajs-549	87	26	mathematics	mathematic	NOUN
iajs-549	87	27	319	319	NUM
iajs-549	87	28	مجلة	مجلة	NOUN
iajs-549	87	29	إبن	إبن	VERB
iajs-549	87	30	الهيثم	الهيثم	ADJ
iajs-549	87	31	للعلوم	للعلوم	NOUN
iajs-549	87	32	الصرفة	الصرفة	NOUN
iajs-549	88	1	و	و	PRON
iajs-549	88	2	التطبيقية	التطبيقية	ADJ
iajs-549	88	3	2012	2012	NUM
iajs-549	88	4	السنة	السنة	NOUN
iajs-549	88	5	25	25	NUM
iajs-549	88	6	المجلد	المجلد	NOUN
iajs-549	88	7	3	3	NUM
iajs-549	88	8	العدد	العدد	PROPN
iajs-549	88	9	ibn	ibn	PROPN
iajs-549	88	10	al	al	PROPN
iajs-549	88	11	-	-	PUNCT
iajs-549	88	12	haitham	haitham	PROPN
iajs-549	88	13	journal	journal	PROPN
iajs-549	88	14	for	for	ADP
iajs-549	88	15	pure	pure	ADJ
iajs-549	88	16	and	and	CCONJ
iajs-549	88	17	applied	apply	VERB
iajs-549	88	18	science	science	NOUN
iajs-549	88	19	no	no	NOUN
iajs-549	88	20	.	.	NOUN
iajs-549	88	21	3	3	NUM
iajs-549	88	22	vol	vol	NOUN
iajs-549	88	23	.	.	PUNCT
iajs-549	89	1	25	25	NUM
iajs-549	89	2	year	year	NOUN
iajs-549	89	3	2012	2012	NUM
iajs-549	89	4	the	the	DET
iajs-549	89	5	various	various	ADJ
iajs-549	89	6	versions	version	NOUN
iajs-549	89	7	of	of	ADP
iajs-549	89	8	conjugate	conjugate	ADJ
iajs-549	89	9	gradient	gradient	NOUN
iajs-549	89	10	are	be	AUX
iajs-549	89	11	distinguished	distinguish	VERB
iajs-549	89	12	by	by	ADP
iajs-549	89	13	the	the	DET
iajs-549	89	14	manner	manner	NOUN
iajs-549	89	15	in	in	ADP
iajs-549	89	16	which	which	PRON
iajs-549	89	17	the	the	DET
iajs-549	89	18	constantβk	constantβk	NOUN
iajs-549	89	19	is	be	AUX
iajs-549	89	20	computed	compute	VERB
iajs-549	89	21	.	.	PUNCT
iajs-549	90	1	in	in	ADP
iajs-549	90	2	this	this	DET
iajs-549	90	3	paper	paper	NOUN
iajs-549	90	4	,	,	PUNCT
iajs-549	90	5	we	we	PRON
iajs-549	90	6	use	use	VERB
iajs-549	90	7	βk	βk	NOUN
iajs-549	90	8	for	for	ADP
iajs-549	90	9	the	the	DET
iajs-549	90	10	polak	polak	NOUN
iajs-549	90	11	-	-	PUNCT
iajs-549	90	12	ribiere	ribiere	NOUN
iajs-549	90	13	update	update	NOUN
iajs-549	90	14	,	,	PUNCT
iajs-549	90	15	the	the	DET
iajs-549	90	16	constantβk	constantβk	NOUN
iajs-549	90	17	is	be	AUX
iajs-549	90	18	computed	compute	VERB
iajs-549	90	19	from	from	ADP
iajs-549	90	20	:	:	PUNCT
iajs-549	90	21	βpr=	βpr=	PROPN
iajs-549	90	22	1k	1k	NUM
iajs-549	90	23	t	t	NOUN
iajs-549	90	24	1k	1k	PROPN
iajs-549	90	25	k	k	PROPN
iajs-549	90	26	t	t	PROPN
iajs-549	90	27	1k	1k	NUM
iajs-549	90	28	gg	gg	PROPN
iajs-549	90	29	gg	gg	PROPN
iajs-549	90	30	−−	−−	PROPN
iajs-549	90	31	−∆	−∆	NOUN
iajs-549	90	32	illustration	illustration	NOUN
iajs-549	90	33	of	of	ADP
iajs-549	90	34	the	the	DET
iajs-549	90	35	method	method	NOUN
iajs-549	90	36	to	to	PART
iajs-549	90	37	illustrate	illustrate	VERB
iajs-549	90	38	the	the	DET
iajs-549	90	39	method	method	NOUN
iajs-549	90	40	,	,	PUNCT
iajs-549	90	41	we	we	PRON
iajs-549	90	42	will	will	AUX
iajs-549	90	43	consider	consider	VERB
iajs-549	90	44	the	the	DET
iajs-549	90	45	equation	equation	NOUN
iajs-549	90	46	(	(	PUNCT
iajs-549	90	47	1	1	NUM
iajs-549	90	48	)	)	PUNCT
iajs-549	90	49	,	,	PUNCT
iajs-549	90	50	where	where	SCONJ
iajs-549	90	51	x	x	X
iajs-549	90	52	∈	∈	PROPN
iajs-549	90	53	[	[	X
iajs-549	90	54	0	0	NUM
iajs-549	90	55	,	,	PUNCT
iajs-549	90	56	1	1	NUM
iajs-549	90	57	]	]	PUNCT
iajs-549	90	58	and	and	CCONJ
iajs-549	90	59	the	the	DET
iajs-549	90	60	bc	bc	PROPN
iajs-549	90	61	y(0	y(0	PROPN
iajs-549	90	62	)	)	PUNCT
iajs-549	90	63	=	=	PUNCT
iajs-549	90	64	a	a	PRON
iajs-549	90	65	and	and	CCONJ
iajs-549	90	66	y(1	y(1	PROPN
iajs-549	90	67	)	)	PUNCT
iajs-549	91	1	=	=	SYM
iajs-549	91	2	b	b	X
iajs-549	91	3	.	.	PUNCT
iajs-549	92	1	a	a	DET
iajs-549	92	2	trial	trial	NOUN
iajs-549	92	3	solution	solution	NOUN
iajs-549	92	4	can	can	AUX
iajs-549	92	5	be	be	AUX
iajs-549	92	6	written	write	VERB
iajs-549	92	7	as	as	ADP
iajs-549	92	8	:	:	PUNCT
iajs-549	92	9	yt(x	yt(x	NUM
iajs-549	92	10	)	)	PUNCT
iajs-549	92	11	=	=	SYM
iajs-549	93	1	a	a	PRON
iajs-549	93	2	(	(	PUNCT
iajs-549	93	3	1−	1−	NUM
iajs-549	93	4	x	x	SYM
iajs-549	93	5	)	)	PUNCT
iajs-549	94	1	+	+	NUM
iajs-549	95	1	b	b	X
iajs-549	95	2	x	x	SYM
iajs-549	95	3	+	+	NUM
iajs-549	95	4	x	x	X
iajs-549	95	5	(	(	PUNCT
iajs-549	95	6	1−	1−	NUM
iajs-549	95	7	x	x	SYM
iajs-549	95	8	)	)	PUNCT
iajs-549	95	9	n(x	n(x	PROPN
iajs-549	95	10	,	,	PUNCT
iajs-549	95	11	p	p	NOUN
iajs-549	95	12	)	)	PUNCT
iajs-549	95	13	(	(	PUNCT
iajs-549	95	14	7	7	X
iajs-549	95	15	)	)	PUNCT
iajs-549	95	16	where	where	SCONJ
iajs-549	95	17	n(x	n(x	PROPN
iajs-549	95	18	,	,	PUNCT
iajs-549	95	19	p	p	NOUN
iajs-549	95	20	)	)	PUNCT
iajs-549	95	21	is	be	AUX
iajs-549	95	22	the	the	DET
iajs-549	95	23	output	output	NOUN
iajs-549	95	24	of	of	ADP
iajs-549	95	25	ffnn	ffnn	NOUN
iajs-549	95	26	with	with	ADP
iajs-549	95	27	one	one	NUM
iajs-549	95	28	input	input	NOUN
iajs-549	95	29	unit	unit	NOUN
iajs-549	95	30	for	for	ADP
iajs-549	95	31	x	x	PUNCT
iajs-549	95	32	and	and	CCONJ
iajs-549	95	33	weights	weight	NOUN
iajs-549	95	34	p	p	PROPN
iajs-549	95	35	.	.	PUNCT
iajs-549	96	1	note	note	VERB
iajs-549	96	2	that	that	SCONJ
iajs-549	96	3	yt(x	yt(x	NOUN
iajs-549	96	4	)	)	PUNCT
iajs-549	96	5	satisfies	satisfy	VERB
iajs-549	96	6	the	the	DET
iajs-549	96	7	bc	bc	PROPN
iajs-549	96	8	by	by	ADP
iajs-549	96	9	construction	construction	NOUN
iajs-549	96	10	.	.	PUNCT
iajs-549	97	1	the	the	DET
iajs-549	97	2	error	error	NOUN
iajs-549	97	3	quantity	quantity	NOUN
iajs-549	97	4	to	to	PART
iajs-549	97	5	be	be	AUX
iajs-549	97	6	minimizedis	minimizedi	NOUN
iajs-549	97	7	given	give	VERB
iajs-549	97	8	by	by	ADP
iajs-549	97	9	:	:	PUNCT
iajs-549	97	10	e[p]=	e[p]=	PROPN
iajs-549	97	11	∑i	∑i	PROPN
iajs-549	97	12	(	(	PUNCT
iajs-549	97	13	ya(xi	ya(xi	PROPN
iajs-549	97	14	)	)	PUNCT
iajs-549	97	15	–	–	PUNCT
iajs-549	97	16	yt(xi	yt(xi	PROPN
iajs-549	97	17	)	)	PUNCT
iajs-549	97	18	)	)	PUNCT
iajs-549	97	19	2	2	NUM
iajs-549	97	20	(	(	PUNCT
iajs-549	97	21	8)	8)	NUM
iajs-549	97	22	where	where	SCONJ
iajs-549	97	23	the	the	DET
iajs-549	97	24	xi	xi	PROPN
iajs-549	97	25	’s	’s	PART
iajs-549	97	26	are	be	AUX
iajs-549	97	27	points	point	NOUN
iajs-549	97	28	in	in	ADP
iajs-549	97	29	[	[	X
iajs-549	97	30	0	0	NUM
iajs-549	97	31	,	,	PUNCT
iajs-549	97	32	1	1	NUM
iajs-549	97	33	]	]	PUNCT
iajs-549	97	34	.	.	PUNCT
iajs-549	98	1	it	it	PRON
iajs-549	98	2	is	be	AUX
iajs-549	98	3	straightforward	straightforward	ADJ
iajs-549	98	4	to	to	PART
iajs-549	98	5	compute	compute	VERB
iajs-549	98	6	the	the	DET
iajs-549	98	7	gradient	gradient	NOUN
iajs-549	98	8	of	of	ADP
iajs-549	98	9	the	the	DET
iajs-549	98	10	error	error	NOUN
iajs-549	98	11	with	with	ADP
iajs-549	98	12	respect	respect	NOUN
iajs-549	98	13	to	to	ADP
iajs-549	98	14	the	the	DET
iajs-549	98	15	parameters	parameter	NOUN
iajs-549	98	16	p	p	NOUN
iajs-549	98	17	using	use	VERB
iajs-549	98	18	(	(	PUNCT
iajs-549	98	19	4	4	NUM
iajs-549	98	20	)	)	PUNCT
iajs-549	98	21	–	–	PUNCT
iajs-549	98	22	(	(	PUNCT
iajs-549	98	23	6	6	NUM
iajs-549	98	24	)	)	PUNCT
iajs-549	98	25	.	.	PUNCT
iajs-549	99	1	the	the	DET
iajs-549	99	2	same	same	ADJ
iajs-549	99	3	holds	hold	VERB
iajs-549	99	4	for	for	ADP
iajs-549	99	5	all	all	DET
iajs-549	99	6	subsequent	subsequent	ADJ
iajs-549	99	7	model	model	NOUN
iajs-549	99	8	problems	problem	NOUN
iajs-549	99	9	.	.	PUNCT
iajs-549	100	1	numerical	numerical	ADJ
iajs-549	100	2	examples	example	NOUN
iajs-549	100	3	in	in	ADP
iajs-549	100	4	this	this	DET
iajs-549	100	5	section	section	NOUN
iajs-549	100	6	we	we	PRON
iajs-549	100	7	report	report	VERB
iajs-549	100	8	some	some	DET
iajs-549	100	9	numerical	numerical	ADJ
iajs-549	100	10	result	result	NOUN
iajs-549	100	11	and	and	CCONJ
iajs-549	100	12	the	the	DET
iajs-549	100	13	solution	solution	NOUN
iajs-549	100	14	of	of	ADP
iajs-549	100	15	two	two	NUM
iajs-549	100	16	model	model	NOUN
iajs-549	100	17	problems	problem	NOUN
iajs-549	100	18	.	.	PUNCT
iajs-549	101	1	in	in	ADP
iajs-549	101	2	all	all	DET
iajs-549	101	3	cases	case	NOUN
iajs-549	101	4	we	we	PRON
iajs-549	101	5	used	use	VERB
iajs-549	101	6	a	a	DET
iajs-549	101	7	multi	multi	ADJ
iajs-549	101	8	layer	layer	NOUN
iajs-549	101	9	ffnn	ffnn	NOUN
iajs-549	101	10	having	have	VERB
iajs-549	101	11	one	one	NUM
iajs-549	101	12	hidden	hide	VERB
iajs-549	101	13	layer	layer	NOUN
iajs-549	101	14	with	with	ADP
iajs-549	101	15	5	5	NUM
iajs-549	101	16	hidden	hide	VERB
iajs-549	101	17	units	unit	NOUN
iajs-549	101	18	(	(	PUNCT
iajs-549	101	19	neurons	neuron	NOUN
iajs-549	101	20	)	)	PUNCT
iajs-549	101	21	and	and	CCONJ
iajs-549	101	22	one	one	NUM
iajs-549	101	23	linear	linear	ADJ
iajs-549	101	24	output	output	NOUN
iajs-549	101	25	unit	unit	NOUN
iajs-549	101	26	.	.	PUNCT
iajs-549	102	1	the	the	DET
iajs-549	102	2	sigmoid	sigmoid	NOUN
iajs-549	102	3	activation	activation	NOUN
iajs-549	102	4	of	of	ADP
iajs-549	102	5	each	each	DET
iajs-549	102	6	hidden	hide	VERB
iajs-549	102	7	unit	unit	NOUN
iajs-549	102	8	is	be	AUX
iajs-549	102	9	logsig	logsig	NOUN
iajs-549	102	10	that	that	PRON
iajs-549	102	11	is	be	AUX
iajs-549	102	12	:	:	PUNCT
iajs-549	102	13	σ(x	σ(x	X
iajs-549	102	14	)	)	PUNCT
iajs-549	103	1	=	=	PUNCT
iajs-549	103	2	x	x	SYM
iajs-549	103	3	1	1	NUM
iajs-549	103	4	1	1	NUM
iajs-549	103	5	e−+	e−+	NOUN
iajs-549	103	6	for	for	ADP
iajs-549	103	7	each	each	DET
iajs-549	103	8	test	test	NOUN
iajs-549	103	9	problem	problem	NOUN
iajs-549	103	10	the	the	DET
iajs-549	103	11	analytic	analytic	ADJ
iajs-549	103	12	solution	solution	NOUN
iajs-549	103	13	ya(x	ya(x	NOUN
iajs-549	103	14	)	)	PUNCT
iajs-549	103	15	was	be	AUX
iajs-549	103	16	known	know	VERB
iajs-549	103	17	in	in	ADP
iajs-549	103	18	advance	advance	NOUN
iajs-549	103	19	.	.	PUNCT
iajs-549	104	1	therefore	therefore	ADV
iajs-549	104	2	we	we	PRON
iajs-549	104	3	test	test	VERB
iajs-549	104	4	the	the	DET
iajs-549	104	5	accuracy	accuracy	NOUN
iajs-549	104	6	of	of	ADP
iajs-549	104	7	the	the	DET
iajs-549	104	8	obtained	obtain	VERB
iajs-549	104	9	solutions	solution	NOUN
iajs-549	104	10	by	by	ADP
iajs-549	104	11	computing	compute	VERB
iajs-549	104	12	the	the	DET
iajs-549	104	13	deviation	deviation	NOUN
iajs-549	104	14	:	:	PUNCT
iajs-549	104	15	∆y(x	∆y(x	X
iajs-549	104	16	)	)	PUNCT
iajs-549	104	17	=	=	PUNCT
iajs-549	104	18	|	|	ADV
iajs-549	104	19	yt(x	yt(x	NOUN
iajs-549	104	20	)	)	PUNCT
iajs-549	104	21	–	–	PUNCT
iajs-549	104	22	ya(x	ya(x	NOUN
iajs-549	104	23	)	)	PUNCT
iajs-549	104	24	|	|	ADV
iajs-549	104	25	.	.	PUNCT
iajs-549	105	1	in	in	ADP
iajs-549	105	2	order	order	NOUN
iajs-549	105	3	to	to	PART
iajs-549	105	4	illustrate	illustrate	VERB
iajs-549	105	5	the	the	DET
iajs-549	105	6	characteristics	characteristic	NOUN
iajs-549	105	7	of	of	ADP
iajs-549	105	8	the	the	DET
iajs-549	105	9	solutions	solution	NOUN
iajs-549	105	10	provided	provide	VERB
iajs-549	105	11	by	by	ADP
iajs-549	105	12	the	the	DET
iajs-549	105	13	neural	neural	ADJ
iajs-549	105	14	network	network	NOUN
iajs-549	105	15	method	method	NOUN
iajs-549	105	16	,	,	PUNCT
iajs-549	105	17	we	we	PRON
iajs-549	105	18	provide	provide	VERB
iajs-549	105	19	figures	figure	NOUN
iajs-549	105	20	displaying	display	VERB
iajs-549	105	21	the	the	DET
iajs-549	105	22	mean	mean	ADJ
iajs-549	105	23	square	square	ADJ
iajs-549	105	24	error	error	NOUN
iajs-549	105	25	of	of	ADP
iajs-549	105	26	ffnn	ffnn	NOUN
iajs-549	105	27	for	for	ADP
iajs-549	105	28	the	the	DET
iajs-549	105	29	train	train	NOUN
iajs-549	105	30	,	,	PUNCT
iajs-549	105	31	validation	validation	NOUN
iajs-549	105	32	,	,	PUNCT
iajs-549	105	33	test	test	NOUN
iajs-549	105	34	,	,	PUNCT
iajs-549	105	35	best	good	ADJ
iajs-549	105	36	and	and	CCONJ
iajs-549	105	37	goal	goal	NOUN
iajs-549	105	38	at	at	ADP
iajs-549	105	39	the	the	DET
iajs-549	105	40	few	few	ADJ
iajs-549	105	41	points	point	NOUN
iajs-549	105	42	(	(	PUNCT
iajs-549	105	43	training	training	NOUN
iajs-549	105	44	points	point	NOUN
iajs-549	105	45	)	)	PUNCT
iajs-549	105	46	that	that	PRON
iajs-549	105	47	were	be	AUX
iajs-549	105	48	used	use	VERB
iajs-549	105	49	for	for	ADP
iajs-549	105	50	training	training	NOUN
iajs-549	105	51	and	and	CCONJ
iajs-549	105	52	at	at	ADP
iajs-549	105	53	many	many	ADJ
iajs-549	105	54	other	other	ADJ
iajs-549	105	55	points	point	NOUN
iajs-549	105	56	(	(	PUNCT
iajs-549	105	57	test	test	NOUN
iajs-549	105	58	points	point	NOUN
iajs-549	105	59	)	)	PUNCT
iajs-549	105	60	of	of	ADP
iajs-549	105	61	the	the	DET
iajs-549	105	62	domain	domain	NOUN
iajs-549	105	63	of	of	ADP
iajs-549	105	64	each	each	DET
iajs-549	105	65	equation	equation	NOUN
iajs-549	105	66	.	.	PUNCT
iajs-549	106	1	to	to	PART
iajs-549	106	2	perform	perform	VERB
iajs-549	106	3	the	the	DET
iajs-549	106	4	error	error	NOUN
iajs-549	106	5	minimization	minimization	NOUN
iajs-549	106	6	we	we	PRON
iajs-549	106	7	use	use	VERB
iajs-549	106	8	cg	cg	NOUN
iajs-549	106	9	method	method	NOUN
iajs-549	106	10	with	with	ADP
iajs-549	106	11	best	good	ADJ
iajs-549	106	12	search	search	NOUN
iajs-549	106	13	direction	direction	NOUN
iajs-549	106	14	,	,	PUNCT
iajs-549	106	15	βpr	βpr	PROPN
iajs-549	106	16	.	.	PUNCT
iajs-549	107	1	example	example	NOUN
iajs-549	107	2	1	1	NUM
iajs-549	107	3	we	we	PRON
iajs-549	107	4	consider	consider	VERB
iajs-549	107	5	the	the	DET
iajs-549	107	6	volterraintegro	volterraintegro	NOUN
iajs-549	107	7	-	-	PUNCT
iajs-549	107	8	differential	differential	NOUN
iajs-549	107	9	equation	equation	NOUN
iajs-549	107	10	:	:	PUNCT
iajs-549	107	11	y	y	X
iajs-549	107	12	"	"	PUNCT
iajs-549	107	13	−	−	PROPN
iajs-549	107	14	y	y	NOUN
iajs-549	107	15	'	'	PUNCT
iajs-549	107	16	+	+	PROPN
iajs-549	107	17	y	y	PROPN
iajs-549	107	18	=	=	SYM
iajs-549	107	19	f(x	f(x	PROPN
iajs-549	107	20	)	)	PUNCT
iajs-549	108	1	+	+	CCONJ
iajs-549	108	2	,	,	PUNCT
iajs-549	108	3	y(0	y(0	PROPN
iajs-549	108	4	)	)	PUNCT
iajs-549	108	5	=	=	SYM
iajs-549	108	6	0	0	NUM
iajs-549	108	7	,	,	PUNCT
iajs-549	108	8	y(1	y(1	PROPN
iajs-549	108	9	)	)	PUNCT
iajs-549	109	1	=	=	SYM
iajs-549	109	2	0	0	NUM
iajs-549	109	3	,	,	PUNCT
iajs-549	109	4	with	with	ADP
iajs-549	109	5	exact	exact	ADJ
iajs-549	109	6	solution	solution	NOUN
iajs-549	109	7	ya(x	ya(x	NOUN
iajs-549	109	8	)	)	PUNCT
iajs-549	110	1	=	=	SYM
iajs-549	110	2	x(1	x(1	PROPN
iajs-549	110	3	−	−	PROPN
iajs-549	110	4	x2	x2	PROPN
iajs-549	110	5	)	)	PUNCT
iajs-549	110	6	.	.	PUNCT
iajs-549	111	1	where	where	SCONJ
iajs-549	111	2	k(x	k(x	PROPN
iajs-549	111	3	,	,	PUNCT
iajs-549	111	4	t	t	PROPN
iajs-549	111	5	)	)	PUNCT
iajs-549	111	6	=	=	SYM
iajs-549	111	7	et	et	PROPN
iajs-549	111	8	,	,	PUNCT
iajs-549	111	9	f(x	f(x	PROPN
iajs-549	111	10	)	)	PUNCT
iajs-549	111	11	=	=	PUNCT
iajs-549	112	1	−	−	NOUN
iajs-549	112	2	x3−	x3−	PROPN
iajs-549	112	3	x	x	SYM
iajs-549	112	4	(	(	PUNCT
iajs-549	112	5	2	2	NUM
iajs-549	112	6	+	+	CCONJ
iajs-549	112	7	ex	ex	ADJ
iajs-549	112	8	sin(x	sin(x	PROPN
iajs-549	112	9	−	−	PROPN
iajs-549	112	10	π/4	π/4	PUNCT
iajs-549	112	11	)	)	PUNCT
iajs-549	112	12	)	)	PUNCT
iajs-549	113	1	−	−	PROPN
iajs-549	114	1	(	(	PUNCT
iajs-549	114	2	x	x	X
iajs-549	114	3	cosx−	cosx−	PROPN
iajs-549	114	4	sinx	sinx	PROPN
iajs-549	114	5	)	)	PUNCT
iajs-549	114	6	.	.	PUNCT
iajs-549	115	1	according	accord	VERB
iajs-549	115	2	to	to	ADP
iajs-549	115	3	(	(	PUNCT
iajs-549	115	4	7	7	X
iajs-549	115	5	)	)	PUNCT
iajs-549	115	6	the	the	DET
iajs-549	115	7	trial	trial	NOUN
iajs-549	115	8	neural	neural	ADJ
iajs-549	115	9	form	form	NOUN
iajs-549	115	10	of	of	ADP
iajs-549	115	11	the	the	DET
iajs-549	115	12	solution	solution	NOUN
iajs-549	115	13	is	be	AUX
iajs-549	115	14	taken	take	VERB
iajs-549	115	15	to	to	PART
iajs-549	115	16	be	be	AUX
iajs-549	115	17	:	:	PUNCT
iajs-549	115	18	yt(x	yt(x	NUM
iajs-549	115	19	)	)	PUNCT
iajs-549	116	1	=	=	SYM
iajs-549	116	2	x(1	x(1	NOUN
iajs-549	116	3	-	-	PUNCT
iajs-549	116	4	x	x	SYM
iajs-549	116	5	)	)	PUNCT
iajs-549	116	6	n(x	n(x	PROPN
iajs-549	116	7	,	,	PUNCT
iajs-549	116	8	p	p	NOUN
iajs-549	116	9	)	)	PUNCT
iajs-549	116	10	the	the	DET
iajs-549	116	11	ffnn	ffnn	NOUN
iajs-549	116	12	trained	train	VERB
iajs-549	116	13	using	use	VERB
iajs-549	116	14	a	a	DET
iajs-549	116	15	grid	grid	NOUN
iajs-549	116	16	of	of	ADP
iajs-549	116	17	ten	ten	NUM
iajs-549	116	18	equidistant	equidistant	ADJ
iajs-549	116	19	points	point	NOUN
iajs-549	116	20	in	in	ADP
iajs-549	116	21	[	[	X
iajs-549	116	22	0	0	NUM
iajs-549	116	23	,	,	PUNCT
iajs-549	116	24	1	1	NUM
iajs-549	116	25	]	]	PUNCT
iajs-549	116	26	.	.	PUNCT
iajs-549	117	1	figure(2	figure(2	ADJ
iajs-549	117	2	)	)	PUNCT
iajs-549	117	3	displays	display	VERB
iajs-549	117	4	the	the	DET
iajs-549	117	5	mean	mean	ADJ
iajs-549	117	6	square	square	ADJ
iajs-549	117	7	error	error	NOUN
iajs-549	117	8	of	of	ADP
iajs-549	117	9	ffnn	ffnn	NOUN
iajs-549	117	10	for	for	ADP
iajs-549	117	11	the	the	DET
iajs-549	117	12	train	train	NOUN
iajs-549	117	13	,	,	PUNCT
iajs-549	117	14	validation	validation	NOUN
iajs-549	117	15	,	,	PUNCT
iajs-549	117	16	test	test	NOUN
iajs-549	117	17	,	,	PUNCT
iajs-549	117	18	best	good	ADJ
iajs-549	117	19	and	and	CCONJ
iajs-549	117	20	goal	goal	NOUN
iajs-549	117	21	at	at	ADP
iajs-549	117	22	the	the	DET
iajs-549	117	23	grid	grid	NOUN
iajs-549	117	24	points	point	NOUN
iajs-549	117	25	in	in	ADP
iajs-549	117	26	1745	1745	NUM
iajs-549	117	27	epoch	epoch	NOUN
iajs-549	117	28	and	and	CCONJ
iajs-549	117	29	in	in	ADP
iajs-549	117	30	figure	figure	NOUN
iajs-549	117	31	(	(	PUNCT
iajs-549	117	32	3	3	X
iajs-549	117	33	)	)	PUNCT
iajs-549	117	34	displays	display	VERB
iajs-549	117	35	the	the	DET
iajs-549	117	36	performance	performance	NOUN
iajs-549	117	37	of	of	ADP
iajs-549	117	38	ffnn	ffnn	NOUN
iajs-549	117	39	at	at	ADP
iajs-549	117	40	many	many	ADJ
iajs-549	117	41	other	other	ADJ
iajs-549	117	42	points	point	NOUN
iajs-549	117	43	in	in	ADP
iajs-549	117	44	[	[	X
iajs-549	117	45	0	0	NUM
iajs-549	117	46	,	,	PUNCT
iajs-549	117	47	1	1	NUM
iajs-549	117	48	]	]	PUNCT
iajs-549	117	49	.	.	PUNCT
iajs-549	118	1	it	it	PRON
iajs-549	118	2	is	be	AUX
iajs-549	118	3	clear	clear	ADJ
iajs-549	118	4	that	that	SCONJ
iajs-549	118	5	the	the	DET
iajs-549	118	6	solution	solution	NOUN
iajs-549	118	7	is	be	AUX
iajs-549	118	8	of	of	ADP
iajs-549	118	9	high	high	ADJ
iajs-549	118	10	accuracy	accuracy	NOUN
iajs-549	118	11	,	,	PUNCT
iajs-549	118	12	although	although	SCONJ
iajs-549	118	13	training	training	NOUN
iajs-549	118	14	was	be	AUX
iajs-549	118	15	performed	perform	VERB
iajs-549	118	16	using	use	VERB
iajs-549	118	17	a	a	DET
iajs-549	118	18	small	small	ADJ
iajs-549	118	19	number	number	NOUN
iajs-549	118	20	of	of	ADP
iajs-549	118	21	points	point	NOUN
iajs-549	118	22	.	.	PUNCT
iajs-549	119	1	moreover	moreover	ADV
iajs-549	119	2	,	,	PUNCT
iajs-549	119	3	the	the	DET
iajs-549	119	4	extrapolation	extrapolation	NOUN
iajs-549	119	5	error	error	NOUN
iajs-549	119	6	remains	remain	VERB
iajs-549	119	7	low	low	ADJ
iajs-549	119	8	for	for	ADP
iajs-549	119	9	points	point	NOUN
iajs-549	119	10	near	near	ADP
iajs-549	119	11	the	the	DET
iajs-549	119	12	equation	equation	NOUN
iajs-549	119	13	domain	domain	NOUN
iajs-549	119	14	.	.	PUNCT
iajs-549	120	1	the	the	DET
iajs-549	120	2	numerical	numerical	ADJ
iajs-549	120	3	results	result	NOUN
iajs-549	120	4	of	of	ADP
iajs-549	120	5	ffnn	ffnn	NOUN
iajs-549	120	6	with	with	ADP
iajs-549	120	7	search	search	NOUN
iajs-549	120	8	direction	direction	NOUN
iajs-549	120	9	,	,	PUNCT
iajs-549	120	10	βpr	βpr	PRON
iajs-549	120	11	,	,	PUNCT
iajs-549	120	12	introduced	introduce	VERB
iajs-549	120	13	in	in	ADP
iajs-549	120	14	table	table	NOUN
iajs-549	120	15	(	(	PUNCT
iajs-549	120	16	1	1	NUM
iajs-549	120	17	)	)	PUNCT
iajs-549	120	18	.	.	PUNCT
iajs-549	121	1	this	this	DET
iajs-549	121	2	example	example	NOUN
iajs-549	121	3	solved	solve	VERB
iajs-549	121	4	in	in	ADP
iajs-549	121	5	[	[	X
iajs-549	121	6	13	13	NUM
iajs-549	121	7	]	]	PUNCT
iajs-549	121	8	using	use	VERB
iajs-549	121	9	sinc	sinc	ADJ
iajs-549	121	10	collocation	collocation	NOUN
iajs-549	121	11	method	method	NOUN
iajs-549	121	12	for	for	ADP
iajs-549	121	13	different	different	ADJ
iajs-549	121	14	number	number	NOUN
iajs-549	121	15	of	of	ADP
iajs-549	121	16	sinc	sinc	PROPN
iajs-549	121	17	grid	grid	NOUN
iajs-549	121	18	points	point	NOUN
iajs-549	121	19	n	n	CCONJ
iajs-549	121	20	and	and	CCONJ
iajs-549	121	21	give	give	VERB
iajs-549	121	22	the	the	DET
iajs-549	121	23	maximum	maximum	NOUN
iajs-549	121	24	of	of	ADP
iajs-549	121	25	absolute	absolute	ADJ
iajs-549	121	26	errors	error	NOUN
iajs-549	121	27	,	,	PUNCT
iajs-549	121	28	that	that	ADV
iajs-549	121	29	is	is	ADV
iajs-549	121	30	,	,	PUNCT
iajs-549	121	31	║	║	NOUN
iajs-549	121	32	es	es	ADP
iajs-549	121	33	║	║	NOUN
iajs-549	121	34	=	=	PUNCT
iajs-549	121	35	5.92003	5.92003	NUM
iajs-549	121	36	×	×	NOUN
iajs-549	121	37	10	10	NUM
iajs-549	121	38	-	-	SYM
iajs-549	121	39	3	3	NUM
iajs-549	121	40	,	,	PUNCT
iajs-549	121	41	its	its	PRON
iajs-549	121	42	clear	clear	ADJ
iajs-549	121	43	that	that	SCONJ
iajs-549	121	44	the	the	DET
iajs-549	121	45	results	result	NOUN
iajs-549	121	46	of	of	ADP
iajs-549	121	47	ffnn	ffnn	NOUN
iajs-549	121	48	is	be	AUX
iajs-549	121	49	more	more	ADV
iajs-549	121	50	accurate	accurate	ADJ
iajs-549	121	51	than	than	SCONJ
iajs-549	121	52	given	give	VERB
iajs-549	121	53	in	in	ADP
iajs-549	121	54	[	[	NOUN
iajs-549	121	55	13	13	NUM
iajs-549	121	56	]	]	PUNCT
iajs-549	121	57	.	.	PUNCT
iajs-549	122	1	example	example	NOUN
iajs-549	123	1	2	2	NUM
iajs-549	123	2	consider	consider	VERB
iajs-549	123	3	the	the	DET
iajs-549	123	4	following	follow	VERB
iajs-549	123	5	volterraintegro	volterraintegro	ADJ
iajs-549	123	6	-	-	PUNCT
iajs-549	123	7	differential	differential	NOUN
iajs-549	123	8	equation	equation	NOUN
iajs-549	123	9	with	with	ADP
iajs-549	123	10	the	the	DET
iajs-549	123	11	exact	exact	ADJ
iajs-549	123	12	mathematics	mathematic	NOUN
iajs-549	123	13	320	320	NUM
iajs-549	123	14	مجلة	مجلة	NOUN
iajs-549	123	15	إبن	إبن	VERB
iajs-549	123	16	الهيثم	الهيثم	ADJ
iajs-549	123	17	للعلوم	للعلوم	NOUN
iajs-549	123	18	الصرفة	الصرفة	NOUN
iajs-549	123	19	و	و	PRON
iajs-549	123	20	التطبيقية	التطبيقية	ADJ
iajs-549	123	21	2012	2012	NUM
iajs-549	123	22	السنة	السنة	NOUN
iajs-549	123	23	25	25	NUM
iajs-549	123	24	المجلد	المجلد	NOUN
iajs-549	123	25	3	3	NUM
iajs-549	123	26	العدد	العدد	PROPN
iajs-549	123	27	ibn	ibn	PROPN
iajs-549	123	28	al	al	PROPN
iajs-549	123	29	-	-	PUNCT
iajs-549	123	30	haitham	haitham	PROPN
iajs-549	123	31	journal	journal	PROPN
iajs-549	123	32	for	for	ADP
iajs-549	123	33	pure	pure	ADJ
iajs-549	123	34	and	and	CCONJ
iajs-549	123	35	applied	apply	VERB
iajs-549	123	36	science	science	NOUN
iajs-549	123	37	no	no	NOUN
iajs-549	123	38	.	.	NOUN
iajs-549	123	39	3	3	NUM
iajs-549	123	40	vol	vol	NOUN
iajs-549	123	41	.	.	PUNCT
iajs-549	124	1	25	25	NUM
iajs-549	124	2	year	year	NOUN
iajs-549	124	3	2012	2012	NUM
iajs-549	124	4	solution	solution	NOUN
iajs-549	124	5	:	:	PUNCT
iajs-549	124	6	ya(x	ya(x	NOUN
iajs-549	124	7	)	)	PUNCT
iajs-549	125	1	=	=	SYM
iajs-549	125	2	ex	ex	PRON
iajs-549	125	3	y	y	NOUN
iajs-549	125	4	"	"	PUNCT
iajs-549	125	5	−	−	PROPN
iajs-549	125	6	(	(	PUNCT
iajs-549	125	7	1/	1/	NUM
iajs-549	125	8	(	(	PUNCT
iajs-549	125	9	1	1	NUM
iajs-549	125	10	−	−	NOUN
iajs-549	125	11	x	x	NOUN
iajs-549	125	12	)	)	PUNCT
iajs-549	125	13	)	)	PUNCT
iajs-549	126	1	=	=	SYM
iajs-549	126	2	f(x	f(x	PROPN
iajs-549	126	3	)	)	PUNCT
iajs-549	127	1	+	+	CCONJ
iajs-549	127	2	,	,	PUNCT
iajs-549	127	3	y(0	y(0	PROPN
iajs-549	127	4	)	)	PUNCT
iajs-549	127	5	=	=	SYM
iajs-549	127	6	1	1	NUM
iajs-549	127	7	,	,	PUNCT
iajs-549	127	8	y(1	y(1	PROPN
iajs-549	127	9	)	)	PUNCT
iajs-549	127	10	=	=	PUNCT
iajs-549	128	1	e	e	X
iajs-549	128	2	where	where	SCONJ
iajs-549	128	3	f(x	f(x	NOUN
iajs-549	128	4	)	)	PUNCT
iajs-549	128	5	=	=	PUNCT
iajs-549	129	1	ex{1	ex{1	NUM
iajs-549	129	2	−	−	PROPN
iajs-549	129	3	(	(	PUNCT
iajs-549	129	4	1/(1	1/(1	NUM
iajs-549	129	5	−	−	NOUN
iajs-549	129	6	x	x	NOUN
iajs-549	129	7	)	)	PUNCT
iajs-549	129	8	)	)	PUNCT
iajs-549	129	9	}	}	PUNCT
iajs-549	129	10	−	−	PROPN
iajs-549	129	11	{	{	PUNCT
iajs-549	129	12	7(−2	7(−2	NUM
iajs-549	129	13	+	+	CCONJ
iajs-549	129	14	2ex	2ex	ADJ
iajs-549	129	15	+	+	CCONJ
iajs-549	129	16	x2	x2	ADJ
iajs-549	129	17	)	)	PUNCT
iajs-549	129	18	cosx}/	cosx}/	PRON
iajs-549	129	19	16(e	16(e	NUM
iajs-549	129	20	+	+	CCONJ
iajs-549	129	21	x	x	X
iajs-549	129	22	)	)	PUNCT
iajs-549	129	23	k(x	k(x	PROPN
iajs-549	129	24	,	,	PUNCT
iajs-549	129	25	t	t	NOUN
iajs-549	129	26	)	)	PUNCT
iajs-549	129	27	=	=	SYM
iajs-549	129	28	7/8	7/8	NUM
iajs-549	129	29	{	{	PUNCT
iajs-549	129	30	(	(	PUNCT
iajs-549	129	31	et	et	NOUN
iajs-549	129	32	+	+	CCONJ
iajs-549	129	33	t)/(x	t)/(x	PROPN
iajs-549	129	34	+	+	CCONJ
iajs-549	129	35	e	e	NOUN
iajs-549	129	36	)	)	PUNCT
iajs-549	129	37	}	}	PUNCT
iajs-549	129	38	cosx	cosx	NOUN
iajs-549	129	39	.	.	PUNCT
iajs-549	130	1	according	accord	VERB
iajs-549	130	2	to	to	ADP
iajs-549	130	3	(	(	PUNCT
iajs-549	130	4	7	7	X
iajs-549	130	5	)	)	PUNCT
iajs-549	130	6	the	the	DET
iajs-549	130	7	trial	trial	NOUN
iajs-549	130	8	neural	neural	ADJ
iajs-549	130	9	form	form	NOUN
iajs-549	130	10	of	of	ADP
iajs-549	130	11	the	the	DET
iajs-549	130	12	solution	solution	NOUN
iajs-549	130	13	is	be	AUX
iajs-549	130	14	taken	take	VERB
iajs-549	130	15	to	to	PART
iajs-549	130	16	be	be	AUX
iajs-549	130	17	:	:	PUNCT
iajs-549	130	18	yt(x	yt(x	NUM
iajs-549	130	19	)	)	PUNCT
iajs-549	130	20	=(	=(	NOUN
iajs-549	130	21	1	1	NUM
iajs-549	130	22	−	−	NOUN
iajs-549	130	23	x	x	NOUN
iajs-549	130	24	)	)	PUNCT
iajs-549	131	1	+	+	NUM
iajs-549	131	2	e	e	NOUN
iajs-549	131	3	x	x	X
iajs-549	132	1	+	+	CCONJ
iajs-549	132	2	x(1	x(1	PROPN
iajs-549	132	3	−	−	PROPN
iajs-549	132	4	x)n(x	x)n(x	X
iajs-549	132	5	,	,	PUNCT
iajs-549	132	6	p	p	NOUN
iajs-549	132	7	)	)	PUNCT
iajs-549	132	8	.	.	PUNCT
iajs-549	133	1	again	again	ADV
iajs-549	133	2	,	,	PUNCT
iajs-549	133	3	as	as	ADP
iajs-549	133	4	before	before	ADV
iajs-549	133	5	,	,	PUNCT
iajs-549	133	6	we	we	PRON
iajs-549	133	7	use	use	VERB
iajs-549	133	8	a	a	DET
iajs-549	133	9	grid	grid	NOUN
iajs-549	133	10	of	of	ADP
iajs-549	133	11	ten	ten	NUM
iajs-549	133	12	equidistant	equidistant	ADJ
iajs-549	133	13	points	point	NOUN
iajs-549	133	14	in	in	ADP
iajs-549	133	15	[	[	X
iajs-549	133	16	0	0	NUM
iajs-549	133	17	,	,	PUNCT
iajs-549	133	18	1	1	NUM
iajs-549	133	19	]	]	PUNCT
iajs-549	133	20	.	.	PUNCT
iajs-549	134	1	figure(4	figure(4	PROPN
iajs-549	134	2	)	)	PUNCT
iajs-549	134	3	displays	display	VERB
iajs-549	134	4	the	the	DET
iajs-549	134	5	mean	mean	ADJ
iajs-549	134	6	square	square	ADJ
iajs-549	134	7	error	error	NOUN
iajs-549	134	8	of	of	ADP
iajs-549	134	9	ffnn	ffnn	NOUN
iajs-549	134	10	for	for	ADP
iajs-549	134	11	the	the	DET
iajs-549	134	12	train	train	NOUN
iajs-549	134	13	,	,	PUNCT
iajs-549	134	14	validation	validation	NOUN
iajs-549	134	15	,	,	PUNCT
iajs-549	134	16	test	test	NOUN
iajs-549	134	17	,	,	PUNCT
iajs-549	134	18	best	good	ADJ
iajs-549	134	19	and	and	CCONJ
iajs-549	134	20	goal	goal	NOUN
iajs-549	134	21	at	at	ADP
iajs-549	134	22	the	the	DET
iajs-549	134	23	grid	grid	NOUN
iajs-549	134	24	points	point	NOUN
iajs-549	134	25	in	in	ADP
iajs-549	134	26	1390	1390	NUM
iajs-549	134	27	epoch	epoch	NOUN
iajs-549	134	28	and	and	CCONJ
iajs-549	134	29	in	in	ADP
iajs-549	134	30	figure	figure	NOUN
iajs-549	134	31	(	(	PUNCT
iajs-549	134	32	5	5	NUM
iajs-549	134	33	)	)	PUNCT
iajs-549	134	34	displays	display	VERB
iajs-549	134	35	the	the	DET
iajs-549	134	36	performance	performance	NOUN
iajs-549	134	37	of	of	ADP
iajs-549	134	38	ffnn	ffnn	NOUN
iajs-549	134	39	at	at	ADP
iajs-549	134	40	many	many	ADJ
iajs-549	134	41	other	other	ADJ
iajs-549	134	42	points	point	NOUN
iajs-549	134	43	in	in	ADP
iajs-549	134	44	[	[	X
iajs-549	134	45	0	0	NUM
iajs-549	134	46	,	,	PUNCT
iajs-549	134	47	1	1	NUM
iajs-549	134	48	]	]	PUNCT
iajs-549	134	49	.	.	PUNCT
iajs-549	135	1	it	it	PRON
iajs-549	135	2	is	be	AUX
iajs-549	135	3	clear	clear	ADJ
iajs-549	135	4	that	that	SCONJ
iajs-549	135	5	the	the	DET
iajs-549	135	6	solution	solution	NOUN
iajs-549	135	7	is	be	AUX
iajs-549	135	8	of	of	ADP
iajs-549	135	9	high	high	ADJ
iajs-549	135	10	accuracy	accuracy	NOUN
iajs-549	135	11	,	,	PUNCT
iajs-549	135	12	although	although	SCONJ
iajs-549	135	13	training	training	NOUN
iajs-549	135	14	was	be	AUX
iajs-549	135	15	performed	perform	VERB
iajs-549	135	16	using	use	VERB
iajs-549	135	17	a	a	DET
iajs-549	135	18	small	small	ADJ
iajs-549	135	19	number	number	NOUN
iajs-549	135	20	of	of	ADP
iajs-549	135	21	points	point	NOUN
iajs-549	135	22	.	.	PUNCT
iajs-549	136	1	moreover	moreover	ADV
iajs-549	136	2	,	,	PUNCT
iajs-549	136	3	the	the	DET
iajs-549	136	4	extrapolation	extrapolation	NOUN
iajs-549	136	5	error	error	NOUN
iajs-549	136	6	remains	remain	VERB
iajs-549	136	7	low	low	ADJ
iajs-549	136	8	for	for	ADP
iajs-549	136	9	points	point	NOUN
iajs-549	136	10	near	near	ADP
iajs-549	136	11	the	the	DET
iajs-549	136	12	equation	equation	NOUN
iajs-549	136	13	domain	domain	NOUN
iajs-549	136	14	.	.	PUNCT
iajs-549	137	1	the	the	DET
iajs-549	137	2	numerical	numerical	ADJ
iajs-549	137	3	results	result	NOUN
iajs-549	137	4	of	of	ADP
iajs-549	137	5	ffnn	ffnn	NOUN
iajs-549	137	6	with	with	ADP
iajs-549	137	7	search	search	NOUN
iajs-549	137	8	direction	direction	NOUN
iajs-549	137	9	,	,	PUNCT
iajs-549	137	10	βpr	βpr	PRON
iajs-549	137	11	,	,	PUNCT
iajs-549	137	12	introduced	introduce	VERB
iajs-549	137	13	in	in	ADP
iajs-549	137	14	table	table	NOUN
iajs-549	137	15	(	(	PUNCT
iajs-549	137	16	2	2	NUM
iajs-549	137	17	)	)	PUNCT
iajs-549	137	18	.	.	PUNCT
iajs-549	138	1	this	this	DET
iajs-549	138	2	example	example	NOUN
iajs-549	138	3	solved	solve	VERB
iajs-549	138	4	in	in	ADP
iajs-549	138	5	[	[	X
iajs-549	138	6	13	13	NUM
iajs-549	138	7	]	]	PUNCT
iajs-549	138	8	using	use	VERB
iajs-549	138	9	sinc	sinc	ADJ
iajs-549	138	10	collocation	collocation	NOUN
iajs-549	138	11	method	method	NOUN
iajs-549	138	12	for	for	ADP
iajs-549	138	13	different	different	ADJ
iajs-549	138	14	number	number	NOUN
iajs-549	138	15	of	of	ADP
iajs-549	138	16	sinc	sinc	PROPN
iajs-549	138	17	grid	grid	NOUN
iajs-549	138	18	points	point	NOUN
iajs-549	138	19	n	n	CCONJ
iajs-549	138	20	and	and	CCONJ
iajs-549	138	21	give	give	VERB
iajs-549	138	22	the	the	DET
iajs-549	138	23	maximum	maximum	NOUN
iajs-549	138	24	of	of	ADP
iajs-549	138	25	absolute	absolute	ADJ
iajs-549	138	26	errors	error	NOUN
iajs-549	138	27	,	,	PUNCT
iajs-549	138	28	that	that	ADV
iajs-549	138	29	is	is	ADV
iajs-549	138	30	,	,	PUNCT
iajs-549	138	31	║	║	NOUN
iajs-549	138	32	es	es	ADP
iajs-549	138	33	║	║	NOUN
iajs-549	138	34	=	=	PUNCT
iajs-549	138	35	2.91837	2.91837	NUM
iajs-549	138	36	×	×	NOUN
iajs-549	138	37	10	10	NUM
iajs-549	138	38	-	-	SYM
iajs-549	138	39	3	3	NUM
iajs-549	138	40	,	,	PUNCT
iajs-549	138	41	its	its	PRON
iajs-549	138	42	clear	clear	ADJ
iajs-549	138	43	that	that	SCONJ
iajs-549	138	44	the	the	DET
iajs-549	138	45	results	result	NOUN
iajs-549	138	46	of	of	ADP
iajs-549	138	47	ffnn	ffnn	NOUN
iajs-549	138	48	is	be	AUX
iajs-549	138	49	more	more	ADV
iajs-549	138	50	accurate	accurate	ADJ
iajs-549	138	51	than	than	SCONJ
iajs-549	138	52	given	give	VERB
iajs-549	138	53	in	in	ADP
iajs-549	138	54	[	[	NOUN
iajs-549	138	55	13	13	NUM
iajs-549	138	56	]	]	PUNCT
iajs-549	138	57	.	.	PUNCT
iajs-549	139	1	conclusion	conclusion	VERB
iajs-549	139	2	the	the	DET
iajs-549	139	3	feed	feed	NOUN
iajs-549	139	4	forward	forward	ADV
iajs-549	139	5	neural	neural	ADJ
iajs-549	139	6	network	network	NOUN
iajs-549	139	7	is	be	AUX
iajs-549	139	8	used	use	VERB
iajs-549	139	9	to	to	PART
iajs-549	139	10	solve	solve	VERB
iajs-549	139	11	the	the	DET
iajs-549	139	12	second	second	ADJ
iajs-549	139	13	order	order	NOUN
iajs-549	139	14	linear	linear	NOUN
iajs-549	139	15	volterraintegro	volterraintegro	NOUN
iajs-549	139	16	-	-	PUNCT
iajs-549	139	17	differential	differential	NOUN
iajs-549	139	18	equations	equation	NOUN
iajs-549	139	19	with	with	ADP
iajs-549	139	20	boundary	boundary	ADJ
iajs-549	139	21	conditions	condition	NOUN
iajs-549	139	22	.	.	PUNCT
iajs-549	140	1	the	the	DET
iajs-549	140	2	numerical	numerical	ADJ
iajs-549	140	3	examples	example	NOUN
iajs-549	140	4	show	show	VERB
iajs-549	140	5	that	that	SCONJ
iajs-549	140	6	the	the	DET
iajs-549	140	7	accuracy	accuracy	NOUN
iajs-549	140	8	improve	improve	VERB
iajs-549	140	9	with	with	ADP
iajs-549	140	10	increasing	increase	VERB
iajs-549	140	11	the	the	DET
iajs-549	140	12	number	number	NOUN
iajs-549	140	13	of	of	ADP
iajs-549	140	14	epoch	epoch	NOUN
iajs-549	140	15	when	when	SCONJ
iajs-549	140	16	we	we	PRON
iajs-549	140	17	train	train	VERB
iajs-549	140	18	the	the	DET
iajs-549	140	19	network	network	NOUN
iajs-549	140	20	and	and	CCONJ
iajs-549	140	21	the	the	DET
iajs-549	140	22	results	result	NOUN
iajs-549	140	23	of	of	ADP
iajs-549	140	24	testing	testing	NOUN
iajs-549	140	25	network	network	NOUN
iajs-549	140	26	is	be	AUX
iajs-549	140	27	more	more	ADV
iajs-549	140	28	accurate	accurate	ADJ
iajs-549	140	29	than	than	ADP
iajs-549	140	30	training	train	VERB
iajs-549	140	31	network	network	NOUN
iajs-549	140	32	.	.	PUNCT
iajs-549	141	1	references	reference	NOUN
iajs-549	141	2	1.agarwal	1.agarwal	NUM
iajs-549	141	3	,	,	PUNCT
iajs-549	141	4	r.	r.	PROPN
iajs-549	141	5	p.	p.	PROPN
iajs-549	141	6	(	(	PUNCT
iajs-549	141	7	1983	1983	NUM
iajs-549	141	8	)	)	PUNCT
iajs-549	141	9	,	,	PUNCT
iajs-549	141	10	boundary	boundary	ADJ
iajs-549	141	11	value	value	NOUN
iajs-549	141	12	problems	problem	NOUN
iajs-549	141	13	for	for	ADP
iajs-549	141	14	higher	high	ADJ
iajs-549	141	15	order	order	NOUN
iajs-549	141	16	integro	integro	ADJ
iajs-549	141	17	-	-	PUNCT
iajs-549	141	18	differential	differential	NOUN
iajs-549	141	19	equations	equation	NOUN
iajs-549	141	20	,	,	PUNCT
iajs-549	141	21	nonlinear	nonlinear	ADJ
iajs-549	141	22	analysis	analysis	NOUN
iajs-549	141	23	,	,	PUNCT
iajs-549	141	24	theory	theory	NOUN
iajs-549	141	25	,	,	PUNCT
iajs-549	141	26	meth	meth	NOUN
iajs-549	141	27	.	.	PUNCT
iajs-549	142	1	appl	appl	PROPN
iajs-549	142	2	.	.	PROPN
iajs-549	142	3	,	,	PUNCT
iajs-549	142	4	7	7	NUM
iajs-549	142	5	:	:	SYM
iajs-549	142	6	259	259	NUM
iajs-549	142	7	-	-	SYM
iajs-549	142	8	270	270	NUM
iajs-549	142	9	.	.	PUNCT
iajs-549	143	1	2.morchalo	2.morchalo	NUM
iajs-549	143	2	,	,	PUNCT
iajs-549	143	3	j.	j.	PROPN
iajs-549	143	4	(	(	PUNCT
iajs-549	143	5	1975	1975	NUM
iajs-549	143	6	)	)	PUNCT
iajs-549	143	7	,	,	PUNCT
iajs-549	143	8	on	on	ADP
iajs-549	143	9	two	two	NUM
iajs-549	143	10	point	point	NOUN
iajs-549	143	11	boundary	boundary	ADJ
iajs-549	143	12	value	value	NOUN
iajs-549	143	13	problem	problem	NOUN
iajs-549	143	14	for	for	ADP
iajs-549	143	15	integro	integro	ADJ
iajs-549	143	16	-	-	PUNCT
iajs-549	143	17	differential	differential	NOUN
iajs-549	143	18	equation	equation	NOUN
iajs-549	143	19	of	of	ADP
iajs-549	143	20	second	second	ADJ
iajs-549	143	21	order	order	NOUN
iajs-549	143	22	,	,	PUNCT
iajs-549	143	23	fasc	fasc	PROPN
iajs-549	143	24	.	.	PROPN
iajs-549	143	25	math	math	PROPN
iajs-549	143	26	.	.	PUNCT
iajs-549	144	1	,	,	PUNCT
iajs-549	144	2	9	9	NUM
iajs-549	144	3	:	:	SYM
iajs-549	144	4	51	51	NUM
iajs-549	144	5	-	-	SYM
iajs-549	144	6	56	56	NUM
iajs-549	144	7	.	.	PUNCT
iajs-549	145	1	3.morchalo	3.morchalo	NUM
iajs-549	145	2	,	,	PUNCT
iajs-549	145	3	j.	j.	PROPN
iajs-549	145	4	(	(	PUNCT
iajs-549	145	5	1975	1975	NUM
iajs-549	145	6	)	)	PUNCT
iajs-549	145	7	,	,	PUNCT
iajs-549	145	8	on	on	ADP
iajs-549	145	9	two	two	NUM
iajs-549	145	10	point	point	NOUN
iajs-549	145	11	boundary	boundary	ADJ
iajs-549	145	12	value	value	NOUN
iajs-549	145	13	problem	problem	NOUN
iajs-549	145	14	for	for	ADP
iajs-549	145	15	integro	integro	ADJ
iajs-549	145	16	-	-	PUNCT
iajs-549	145	17	differential	differential	NOUN
iajs-549	145	18	equation	equation	NOUN
iajs-549	145	19	of	of	ADP
iajs-549	145	20	higher	high	ADJ
iajs-549	145	21	order	order	NOUN
iajs-549	145	22	,	,	PUNCT
iajs-549	145	23	fasc	fasc	PROPN
iajs-549	145	24	.	.	PROPN
iajs-549	145	25	math	math	PROPN
iajs-549	145	26	.	.	PUNCT
iajs-549	145	27	,	,	PUNCT
iajs-549	145	28	9:77	9:77	NUM
iajs-549	145	29	-	-	SYM
iajs-549	145	30	96	96	NUM
iajs-549	145	31	.	.	PUNCT
iajs-549	146	1	4.wazwaz	4.wazwaz	NUM
iajs-549	146	2	,	,	PUNCT
iajs-549	146	3	a.	a.	NOUN
iajs-549	146	4	(	(	PUNCT
iajs-549	146	5	2001	2001	NUM
iajs-549	146	6	)	)	PUNCT
iajs-549	146	7	,	,	PUNCT
iajs-549	146	8	a	a	DET
iajs-549	146	9	reliable	reliable	ADJ
iajs-549	146	10	algorithm	algorithm	NOUN
iajs-549	146	11	for	for	ADP
iajs-549	146	12	solving	solve	VERB
iajs-549	146	13	boundary	boundary	ADJ
iajs-549	146	14	value	value	NOUN
iajs-549	146	15	problems	problem	NOUN
iajs-549	146	16	for	for	ADP
iajs-549	146	17	higherorder	higherorder	NOUN
iajs-549	146	18	integro	integro	ADJ
iajs-549	146	19	-	-	PUNCT
iajs-549	146	20	differential	differential	NOUN
iajs-549	146	21	equations	equation	NOUN
iajs-549	146	22	,	,	PUNCT
iajs-549	146	23	appl	appl	PROPN
iajs-549	146	24	.	.	PROPN
iajs-549	146	25	math	math	PROPN
iajs-549	146	26	.	.	PUNCT
iajs-549	147	1	comp	comp	PROPN
iajs-549	147	2	.	.	PUNCT
iajs-549	147	3	,	,	PUNCT
iajs-549	147	4	118	118	NUM
iajs-549	147	5	:	:	SYM
iajs-549	147	6	327	327	NUM
iajs-549	147	7	-	-	SYM
iajs-549	147	8	342	342	NUM
iajs-549	147	9	.	.	PUNCT
iajs-549	148	1	5.babolian	5.babolian	NUM
iajs-549	148	2	,	,	PUNCT
iajs-549	148	3	e.	e.	PROPN
iajs-549	148	4	and	and	CCONJ
iajs-549	148	5	salimishamloo	salimishamloo	PROPN
iajs-549	148	6	,	,	PUNCT
iajs-549	148	7	a.	a.	NOUN
iajs-549	148	8	(	(	PUNCT
iajs-549	148	9	2008	2008	NUM
iajs-549	148	10	)	)	PUNCT
iajs-549	148	11	,	,	PUNCT
iajs-549	148	12	numerical	numerical	ADJ
iajs-549	148	13	solution	solution	NOUN
iajs-549	148	14	of	of	ADP
iajs-549	148	15	volterra	volterra	PROPN
iajs-549	148	16	integral	integral	ADJ
iajs-549	148	17	and	and	CCONJ
iajs-549	148	18	integro	integro	ADJ
iajs-549	148	19	-	-	PUNCT
iajs-549	148	20	differential	differential	NOUN
iajs-549	148	21	equations	equation	NOUN
iajs-549	148	22	of	of	ADP
iajs-549	148	23	convolution	convolution	NOUN
iajs-549	148	24	type	type	NOUN
iajs-549	148	25	by	by	ADP
iajs-549	148	26	using	use	VERB
iajs-549	148	27	operational	operational	ADJ
iajs-549	148	28	matrices	matrix	NOUN
iajs-549	148	29	of	of	ADP
iajs-549	148	30	piecewise	piecewise	NOUN
iajs-549	148	31	constant	constant	ADJ
iajs-549	148	32	orthogonal	orthogonal	ADJ
iajs-549	148	33	functions	function	NOUN
iajs-549	148	34	,	,	PUNCT
iajs-549	148	35	j.	j.	PROPN
iajs-549	148	36	comput	comput	PROPN
iajs-549	148	37	.	.	PUNCT
iajs-549	149	1	appl	appl	PROPN
iajs-549	149	2	.	.	PROPN
iajs-549	149	3	math	math	PROPN
iajs-549	149	4	.	.	PUNCT
iajs-549	150	1	,	,	PUNCT
iajs-549	151	1	214	214	NUM
iajs-549	151	2	:	:	PUNCT
iajs-549	151	3	495	495	NUM
iajs-549	151	4	-	-	SYM
iajs-549	151	5	508	508	NUM
iajs-549	151	6	.	.	PUNCT
iajs-549	152	1	6.stenger	6.stenger	NUM
iajs-549	152	2	,	,	PUNCT
iajs-549	152	3	f.	f.	PROPN
iajs-549	152	4	(	(	PUNCT
iajs-549	152	5	1993	1993	NUM
iajs-549	152	6	)	)	PUNCT
iajs-549	152	7	,	,	PUNCT
iajs-549	152	8	numerical	numerical	ADJ
iajs-549	152	9	methods	method	NOUN
iajs-549	152	10	based	base	VERB
iajs-549	152	11	on	on	ADP
iajs-549	152	12	sinc	sinc	ADJ
iajs-549	152	13	and	and	CCONJ
iajs-549	152	14	analytic	analytic	ADJ
iajs-549	152	15	functions	function	NOUN
iajs-549	152	16	,	,	PUNCT
iajs-549	152	17	springerverlag	springerverlag	NOUN
iajs-549	152	18	,	,	PUNCT
iajs-549	152	19	new	new	PROPN
iajs-549	152	20	york	york	PROPN
iajs-549	152	21	.	.	PUNCT
iajs-549	153	1	7.eggert	7.eggert	NUM
iajs-549	153	2	,	,	PUNCT
iajs-549	153	3	n.;jarratt	n.;jarratt	NOUN
iajs-549	153	4	,	,	PUNCT
iajs-549	153	5	m.	m.	NOUN
iajs-549	153	6	and	and	CCONJ
iajs-549	153	7	lund	lund	PROPN
iajs-549	153	8	,	,	PUNCT
iajs-549	153	9	j.	j.	PROPN
iajs-549	153	10	(	(	PUNCT
iajs-549	153	11	1987	1987	NUM
iajs-549	153	12	)	)	PUNCT
iajs-549	153	13	,	,	PUNCT
iajs-549	153	14	sinc	sinc	NOUN
iajs-549	153	15	function	function	NOUN
iajs-549	153	16	computations	computation	NOUN
iajs-549	153	17	of	of	ADP
iajs-549	153	18	the	the	DET
iajs-549	153	19	eigenvalues	eigenvalue	NOUN
iajs-549	153	20	of	of	ADP
iajs-549	153	21	sturm	sturm	NOUN
iajs-549	153	22	-	-	PUNCT
iajs-549	153	23	liouville	liouville	NOUN
iajs-549	153	24	problems	problem	NOUN
iajs-549	153	25	,	,	PUNCT
iajs-549	153	26	j.	j.	PROPN
iajs-549	153	27	comput	comput	PROPN
iajs-549	153	28	.	.	PUNCT
iajs-549	154	1	phys	phy	NOUN
iajs-549	154	2	.	.	PUNCT
iajs-549	154	3	,	,	PUNCT
iajs-549	154	4	69	69	NUM
iajs-549	154	5	:	:	PUNCT
iajs-549	154	6	209	209	NUM
iajs-549	154	7	-	-	SYM
iajs-549	154	8	229	229	NUM
iajs-549	154	9	.	.	PUNCT
iajs-549	154	10	8.rashidinia	8.rashidinia	NUM
iajs-549	154	11	,	,	PUNCT
iajs-549	154	12	j.	j.	PROPN
iajs-549	154	13	zarebnia	zarebnia	PROPN
iajs-549	154	14	,	,	PUNCT
iajs-549	154	15	m.	m.	NOUN
iajs-549	154	16	(	(	PUNCT
iajs-549	154	17	2007	2007	NUM
iajs-549	154	18	)	)	PUNCT
iajs-549	154	19	,	,	PUNCT
iajs-549	154	20	solution	solution	NOUN
iajs-549	154	21	of	of	ADP
iajs-549	154	22	a	a	DET
iajs-549	154	23	volterra	volterra	NOUN
iajs-549	154	24	integral	integral	ADJ
iajs-549	154	25	equation	equation	NOUN
iajs-549	154	26	by	by	ADP
iajs-549	154	27	the	the	DET
iajs-549	154	28	sinccollocation	sinccollocation	NOUN
iajs-549	154	29	method	method	NOUN
iajs-549	154	30	,	,	PUNCT
iajs-549	154	31	j.	j.	PROPN
iajs-549	154	32	comput	comput	PROPN
iajs-549	154	33	.	.	PUNCT
iajs-549	155	1	appl	appl	PROPN
iajs-549	155	2	.	.	PROPN
iajs-549	155	3	math	math	PROPN
iajs-549	155	4	.	.	PUNCT
iajs-549	156	1	,	,	PUNCT
iajs-549	156	2	206	206	NUM
iajs-549	156	3	:	:	PUNCT
iajs-549	156	4	801	801	NUM
iajs-549	156	5	-	-	NUM
iajs-549	156	6	813	813	NUM
iajs-549	156	7	.	.	PUNCT
iajs-549	157	1	9.rashidinia	9.rashidinia	NUM
iajs-549	157	2	,	,	PUNCT
iajs-549	157	3	j.	j.	PROPN
iajs-549	157	4	and	and	CCONJ
iajs-549	157	5	zarebnia	zarebnia	PROPN
iajs-549	157	6	,	,	PUNCT
iajs-549	157	7	m.	m.	NOUN
iajs-549	157	8	(	(	PUNCT
iajs-549	157	9	2007	2007	NUM
iajs-549	157	10	)	)	PUNCT
iajs-549	157	11	,	,	PUNCT
iajs-549	157	12	convergence	convergence	NOUN
iajs-549	157	13	of	of	ADP
iajs-549	157	14	approximate	approximate	ADJ
iajs-549	157	15	solution	solution	NOUN
iajs-549	157	16	of	of	ADP
iajs-549	157	17	system	system	NOUN
iajs-549	157	18	of	of	ADP
iajs-549	157	19	fredholm	fredholm	ADJ
iajs-549	157	20	integral	integral	ADJ
iajs-549	157	21	equations	equation	NOUN
iajs-549	157	22	,	,	PUNCT
iajs-549	157	23	j.	j.	PROPN
iajs-549	157	24	math	math	PROPN
iajs-549	157	25	.	.	PUNCT
iajs-549	158	1	anal	anal	PROPN
iajs-549	158	2	.	.	PUNCT
iajs-549	158	3	appl	appl	PROPN
iajs-549	158	4	.	.	PROPN
iajs-549	158	5	,	,	PUNCT
iajs-549	158	6	333	333	NUM
iajs-549	158	7	:	:	PUNCT
iajs-549	158	8	1216	1216	NUM
iajs-549	158	9	-	-	SYM
iajs-549	158	10	1227	1227	NUM
iajs-549	158	11	.	.	PUNCT
iajs-549	159	1	10.stergiou	10.stergiou	NUM
iajs-549	159	2	,	,	PUNCT
iajs-549	159	3	c.	c.	PROPN
iajs-549	159	4	andsiganos	andsiganos	PROPN
iajs-549	159	5	,	,	PUNCT
iajs-549	159	6	d.	d.	PROPN
iajs-549	159	7	(	(	PUNCT
iajs-549	159	8	2008	2008	NUM
iajs-549	159	9	)	)	PUNCT
iajs-549	159	10	,	,	PUNCT
iajs-549	159	11	neural	neural	ADJ
iajs-549	159	12	networks	network	NOUN
iajs-549	159	13	,	,	PUNCT
iajs-549	159	14	ieee	ieee	NOUN
iajs-549	159	15	neural	neural	PROPN
iajs-549	159	16	networks	network	NOUN
iajs-549	159	17	council	council	PROPN
iajs-549	159	18	11.hristev	11.hristev	NUM
iajs-549	159	19	,	,	PUNCT
iajs-549	159	20	r.	r.	PROPN
iajs-549	159	21	m.	m.	PROPN
iajs-549	159	22	(	(	PUNCT
iajs-549	159	23	1998	1998	NUM
iajs-549	159	24	)	)	PUNCT
iajs-549	159	25	,	,	PUNCT
iajs-549	159	26	"	"	PUNCT
iajs-549	159	27	the	the	DET
iajs-549	159	28	ann	ann	PROPN
iajs-549	159	29	book	book	NOUN
iajs-549	159	30	"	"	PUNCT
iajs-549	159	31	,	,	PUNCT
iajs-549	159	32	edition	edition	NOUN
iajs-549	159	33	1	1	NUM
iajs-549	159	34	.	.	PUNCT
iajs-549	160	1	mathematics	mathematic	NOUN
iajs-549	160	2	321	321	NUM
iajs-549	160	3	مجلة	مجلة	NOUN
iajs-549	160	4	إبن	إبن	VERB
iajs-549	160	5	الهيثم	الهيثم	ADJ
iajs-549	160	6	للعلوم	للعلوم	NOUN
iajs-549	160	7	الصرفة	الصرفة	NOUN
iajs-549	160	8	و	و	PRON
iajs-549	160	9	التطبيقية	التطبيقية	ADJ
iajs-549	160	10	2012	2012	NUM
iajs-549	160	11	السنة	السنة	NOUN
iajs-549	160	12	25	25	NUM
iajs-549	160	13	المجلد	المجلد	NOUN
iajs-549	160	14	3	3	NUM
iajs-549	160	15	العدد	العدد	PROPN
iajs-549	160	16	ibn	ibn	PROPN
iajs-549	160	17	al	al	PROPN
iajs-549	160	18	-	-	PUNCT
iajs-549	160	19	haitham	haitham	PROPN
iajs-549	160	20	journal	journal	PROPN
iajs-549	160	21	for	for	ADP
iajs-549	160	22	pure	pure	ADJ
iajs-549	160	23	and	and	CCONJ
iajs-549	160	24	applied	apply	VERB
iajs-549	160	25	science	science	NOUN
iajs-549	160	26	no	no	NOUN
iajs-549	160	27	.	.	NOUN
iajs-549	160	28	3	3	NUM
iajs-549	160	29	vol	vol	NOUN
iajs-549	160	30	.	.	PUNCT
iajs-549	161	1	25	25	NUM
iajs-549	161	2	year	year	NOUN
iajs-549	161	3	2012	2012	NUM
iajs-549	161	4	12.tawfiq	12.tawfiq	NUM
iajs-549	161	5	,	,	PUNCT
iajs-549	161	6	l.n.m	l.n.m	NOUN
iajs-549	161	7	.	.	PUNCT
iajs-549	162	1	and	and	CCONJ
iajs-549	162	2	naoum	naoum	PROPN
iajs-549	162	3	,	,	PUNCT
iajs-549	162	4	r.s	r.s	PROPN
iajs-549	162	5	.	.	PROPN
iajs-549	162	6	(	(	PUNCT
iajs-549	162	7	2005	2005	NUM
iajs-549	162	8	)	)	PUNCT
iajs-549	162	9	,	,	PUNCT
iajs-549	162	10	"	"	PUNCT
iajs-549	162	11	on	on	ADP
iajs-549	162	12	training	training	NOUN
iajs-549	162	13	of	of	ADP
iajs-549	162	14	artificial	artificial	ADJ
iajs-549	162	15	neural	neural	ADJ
iajs-549	162	16	networks	network	NOUN
iajs-549	162	17	"	"	PUNCT
iajs-549	162	18	,	,	PUNCT
iajs-549	162	19	al	al	PROPN
iajs-549	162	20	-	-	PUNCT
iajs-549	162	21	fathjornal	fathjornal	ADJ
iajs-549	162	22	,	,	PUNCT
iajs-549	162	23	no	no	DET
iajs-549	162	24	23	23	NUM
iajs-549	162	25	.	.	PUNCT
iajs-549	163	1	13.zarebnia	13.zarebnia	NUM
iajs-549	163	2	,	,	PUNCT
iajs-549	163	3	m.andnikpour	m.andnikpour	NOUN
iajs-549	163	4	,	,	PUNCT
iajs-549	163	5	z.	z.	PROPN
iajs-549	163	6	(	(	PUNCT
iajs-549	163	7	2010	2010	NUM
iajs-549	163	8	)	)	PUNCT
iajs-549	163	9	,	,	PUNCT
iajs-549	163	10	"	"	PUNCT
iajs-549	163	11	design	design	NOUN
iajs-549	163	12	feed	feed	NOUN
iajs-549	163	13	forward	forward	ADV
iajs-549	163	14	neural	neural	ADJ
iajs-549	163	15	network	network	NOUN
iajs-549	163	16	for	for	ADP
iajs-549	163	17	solving	solve	VERB
iajs-549	163	18	linear	linear	NOUN
iajs-549	163	19	volterraintegro	volterraintegro	NOUN
iajs-549	163	20	-	-	PUNCT
iajs-549	163	21	differential	differential	NOUN
iajs-549	163	22	equations	equation	NOUN
iajs-549	163	23	"	"	PUNCT
iajs-549	163	24	,	,	PUNCT
iajs-549	163	25	international	international	ADJ
iajs-549	163	26	journal	journal	NOUN
iajs-549	163	27	of	of	ADP
iajs-549	163	28	applied	apply	VERB
iajs-549	163	29	mathematics	mathematic	NOUN
iajs-549	163	30	and	and	CCONJ
iajs-549	163	31	computation	computation	NOUN
iajs-549	163	32	,	,	PUNCT
iajs-549	163	33	2(1	2(1	NUM
iajs-549	163	34	)	)	PUNCT
iajs-549	163	35	:	:	PUNCT
iajs-549	164	1	1–10	1–10	NOUN
iajs-549	164	2	.	.	PUNCT
iajs-549	164	3	table	table	NOUN
iajs-549	164	4	(	(	PUNCT
iajs-549	164	5	1	1	NUM
iajs-549	164	6	):	):	PUNCT
iajs-549	164	7	the	the	DET
iajs-549	164	8	numerical	numerical	ADJ
iajs-549	164	9	results	result	NOUN
iajs-549	164	10	of	of	ADP
iajs-549	164	11	ffnn	ffnn	NOUN
iajs-549	164	12	with	with	ADP
iajs-549	164	13	search	search	NOUN
iajs-549	164	14	direction	direction	NOUN
iajs-549	164	15	,	,	PUNCT
iajs-549	164	16	βpr	βpr	NOUN
iajs-549	164	17	for	for	ADP
iajs-549	164	18	example	example	NOUN
iajs-549	164	19	(	(	PUNCT
iajs-549	164	20	1	1	NUM
iajs-549	164	21	)	)	PUNCT
iajs-549	164	22	table	table	NOUN
iajs-549	164	23	(	(	PUNCT
iajs-549	164	24	2	2	NUM
iajs-549	164	25	):	):	PUNCT
iajs-549	164	26	the	the	DET
iajs-549	164	27	numerical	numerical	ADJ
iajs-549	164	28	results	result	NOUN
iajs-549	164	29	of	of	ADP
iajs-549	164	30	ffnn	ffnn	NOUN
iajs-549	164	31	with	with	ADP
iajs-549	164	32	search	search	NOUN
iajs-549	164	33	direction	direction	NOUN
iajs-549	164	34	,	,	PUNCT
iajs-549	164	35	βpr	βpr	NOUN
iajs-549	164	36	for	for	ADP
iajs-549	164	37	example	example	NOUN
iajs-549	164	38	(	(	PUNCT
iajs-549	164	39	2	2	NUM
iajs-549	164	40	)	)	PUNCT
iajs-549	164	41	input	input	NOUN
iajs-549	164	42	exact	exact	ADJ
iajs-549	164	43	solution	solution	NOUN
iajs-549	164	44	output	output	NOUN
iajs-549	164	45	of	of	ADP
iajs-549	164	46	ffnnyt(x	ffnnyt(x	NOUN
iajs-549	164	47	)	)	PUNCT
iajs-549	164	48	when	when	SCONJ
iajs-549	164	49	we	we	PRON
iajs-549	164	50	use	use	VERB
iajs-549	164	51	cg	cg	NOUN
iajs-549	164	52	with	with	ADP
iajs-549	164	53	deviation∆y(x	deviation∆y(x	NOUN
iajs-549	164	54	)	)	PUNCT
iajs-549	164	55	=	=	SYM
iajs-549	164	56	|yt(x	|yt(x	NOUN
iajs-549	164	57	)	)	PUNCT
iajs-549	164	58	−ya(x)|	−ya(x)|	VERB
iajs-549	164	59	,	,	PUNCT
iajs-549	164	60	x	x	NOUN
iajs-549	164	61	ya(x	ya(x	NOUN
iajs-549	164	62	)	)	PUNCT
iajs-549	164	63	βpr	βpr	DET
iajs-549	164	64	βpr	βpr	ADV
iajs-549	164	65	1.0	1.0	NUM
iajs-549	164	66	2.718281828459046	2.718281828459046	NUM
iajs-549	164	67	2.718281828459017	2.718281828459017	NUM
iajs-549	164	68	0.000000000000029	0.000000000000029	NUM
iajs-549	164	69	0.0	0.0	NUM
iajs-549	164	70	1.000000000000000	1.000000000000000	NUM
iajs-549	164	71	1.000000000000000	1.000000000000000	NUM
iajs-549	164	72	0.000000000000000	0.000000000000000	NUM
iajs-549	164	73	0.1	0.1	NUM
iajs-549	164	74	1.105170918075648	1.105170918075648	NUM
iajs-549	164	75	1.105170917035035	1.105170917035035	NUM
iajs-549	164	76	0.000000001040613	0.000000001040613	NUM
iajs-549	164	77	0.2	0.2	NUM
iajs-549	164	78	1.221402758160170	1.221402758160170	NUM
iajs-549	164	79	1.221402758150140	1.221402758150140	NUM
iajs-549	164	80	0.000000000010030	0.000000000010030	NUM
iajs-549	164	81	0.3	0.3	NUM
iajs-549	164	82	1.349858807576003	1.349858807576003	NUM
iajs-549	164	83	1.349858807574302	1.349858807574302	NUM
iajs-549	164	84	0.000000000001701	0.000000000001701	NUM
iajs-549	164	85	0.4	0.4	NUM
iajs-549	164	86	1.491824697641270	1.491824697641270	NUM
iajs-549	164	87	1.491824697547110	1.491824697547110	NUM
iajs-549	164	88	0.000000000904160	0.000000000904160	NUM
iajs-549	164	89	0.5	0.5	NUM
iajs-549	164	90	1.648721270700128	1.648721270700128	NUM
iajs-549	164	91	1.648721270502115	1.648721270502115	NUM
iajs-549	164	92	0.000000000198013	0.000000000198013	NUM
iajs-549	164	93	0.6	0.6	NUM
iajs-549	164	94	1.822118800390509	1.822118800390509	NUM
iajs-549	164	95	1.822118800361503	1.822118800361503	NUM
iajs-549	164	96	0.000000000029006	0.000000000029006	NUM
iajs-549	164	97	0.7	0.7	NUM
iajs-549	164	98	2.013752707470477	2.013752707470477	NUM
iajs-549	164	99	2.013752706680191	2.013752706680191	NUM
iajs-549	164	100	0.000000000790286	0.000000000790286	NUM
iajs-549	164	101	0.8	0.8	NUM
iajs-549	164	102	2.225540928492468	2.225540928492468	NUM
iajs-549	164	103	2.225540925492324	2.225540925492324	NUM
iajs-549	164	104	0.000000003000144	0.000000003000144	NUM
iajs-549	164	105	0.9	0.9	NUM
iajs-549	164	106	2.459603111156950	2.459603111156950	NUM
iajs-549	164	107	2.459603111052913	2.459603111052913	NUM
iajs-549	164	108	0.000000000104037	0.000000000104037	NUM
iajs-549	164	109	input	input	NOUN
iajs-549	164	110	xi	xi	ADP
iajs-549	164	111	exact	exact	ADJ
iajs-549	164	112	solution	solution	NOUN
iajs-549	164	113	ya	ya	PRON
iajs-549	164	114	output	output	NOUN
iajs-549	164	115	of	of	ADP
iajs-549	164	116	ffnn	ffnn	NOUN
iajs-549	164	117	yt(x	yt(x	PROPN
iajs-549	164	118	)	)	PUNCT
iajs-549	164	119	when	when	SCONJ
iajs-549	164	120	we	we	PRON
iajs-549	164	121	use	use	VERB
iajs-549	164	122	cg	cg	NOUN
iajs-549	164	123	withβpr	withβpr	NOUN
iajs-549	164	124	deviation	deviation	NOUN
iajs-549	164	125	∆y(x	∆y(x	ADV
iajs-549	164	126	)	)	PUNCT
iajs-549	164	127	=	=	SYM
iajs-549	164	128	|yt(x	|yt(x	NOUN
iajs-549	164	129	)	)	PUNCT
iajs-549	164	130	−ya(x)|	−ya(x)|	VERB
iajs-549	164	131	,	,	PUNCT
iajs-549	165	1	1.0	1.0	NUM
iajs-549	165	2	0	0	NUM
iajs-549	165	3	0	0	NUM
iajs-549	165	4	0	0	NUM
iajs-549	165	5	0.0	0.0	NUM
iajs-549	165	6	0	0	NUM
iajs-549	165	7	0	0	NUM
iajs-549	165	8	0	0	NUM
iajs-549	165	9	0.1	0.1	NUM
iajs-549	165	10	0.099	0.099	NUM
iajs-549	165	11	0.098891	0.098891	NUM
iajs-549	165	12	0.000109	0.000109	NUM
iajs-549	165	13	0.2	0.2	NUM
iajs-549	165	14	0.192	0.192	NUM
iajs-549	165	15	0.192098	0.192098	NUM
iajs-549	165	16	0.000098	0.000098	NUM
iajs-549	165	17	0.3	0.3	NUM
iajs-549	165	18	0.273	0.273	NUM
iajs-549	165	19	0.272895	0.272895	NUM
iajs-549	165	20	0.000105	0.000105	NUM
iajs-549	165	21	0.4	0.4	NUM
iajs-549	165	22	0.336	0.336	NUM
iajs-549	165	23	0.33602	0.33602	NUM
iajs-549	165	24	0.00002	0.00002	NUM
iajs-549	165	25	0.5	0.5	NUM
iajs-549	165	26	0.375	0.375	NUM
iajs-549	165	27	0.37515	0.37515	NUM
iajs-549	165	28	0.00015	0.00015	NUM
iajs-549	165	29	0.6	0.6	NUM
iajs-549	165	30	0.384	0.384	NUM
iajs-549	165	31	0.38406	0.38406	NUM
iajs-549	165	32	0.00006	0.00006	NUM
iajs-549	165	33	0.7	0.7	NUM
iajs-549	165	34	0.357	0.357	NUM
iajs-549	165	35	0.3571	0.3571	NUM
iajs-549	165	36	0.0001	0.0001	NUM
iajs-549	165	37	0.8	0.8	NUM
iajs-549	165	38	0.288	0.288	NUM
iajs-549	165	39	0.288021	0.288021	NUM
iajs-549	165	40	0.000021	0.000021	NUM
iajs-549	165	41	0.9	0.9	NUM
iajs-549	165	42	0.171	0.171	NUM
iajs-549	165	43	0.17103	0.17103	NUM
iajs-549	165	44	0.00003	0.00003	NUM
iajs-549	165	45	mathematics	mathematics	PROPN
iajs-549	165	46	322	322	NUM
iajs-549	165	47	مجلة	مجلة	NOUN
iajs-549	165	48	إبن	إبن	VERB
iajs-549	165	49	الهيثم	الهيثم	ADJ
iajs-549	165	50	للعلوم	للعلوم	NOUN
iajs-549	165	51	الصرفة	الصرفة	NOUN
iajs-549	165	52	و	و	PRON
iajs-549	165	53	التطبيقية	التطبيقية	ADJ
iajs-549	165	54	2012	2012	NUM
iajs-549	165	55	السنة	السنة	NOUN
iajs-549	165	56	25	25	NUM
iajs-549	165	57	المجلد	المجلد	NOUN
iajs-549	165	58	3	3	NUM
iajs-549	165	59	العدد	العدد	PROPN
iajs-549	165	60	ibn	ibn	PROPN
iajs-549	165	61	al	al	PROPN
iajs-549	165	62	-	-	PUNCT
iajs-549	165	63	haitham	haitham	PROPN
iajs-549	165	64	journal	journal	PROPN
iajs-549	165	65	for	for	ADP
iajs-549	165	66	pure	pure	ADJ
iajs-549	165	67	and	and	CCONJ
iajs-549	165	68	applied	apply	VERB
iajs-549	165	69	science	science	NOUN
iajs-549	165	70	no	no	NOUN
iajs-549	165	71	.	.	NOUN
iajs-549	165	72	3	3	NUM
iajs-549	165	73	vol	vol	NOUN
iajs-549	165	74	.	.	PUNCT
iajs-549	166	1	25	25	NUM
iajs-549	166	2	year	year	NOUN
iajs-549	166	3	2012	2012	NUM
iajs-549	166	4	fig	fig	NOUN
iajs-549	166	5	(	(	PUNCT
iajs-549	166	6	1	1	NUM
iajs-549	166	7	):	):	PUNCT
iajs-549	166	8	a	a	DET
iajs-549	166	9	fully	fully	ADV
iajs-549	166	10	connected	connect	VERB
iajs-549	166	11	feed	feed	NOUN
iajs-549	166	12	-	-	PUNCT
iajs-549	166	13	forward	forward	NOUN
iajs-549	166	14	neural	neural	ADJ
iajs-549	166	15	network	network	NOUN
iajs-549	166	16	with	with	ADP
iajs-549	166	17	one	one	NUM
iajs-549	166	18	hidden	hide	VERB
iajs-549	166	19	layer	layer	NOUN
iajs-549	166	20	fig.(2	fig.(2	PROPN
iajs-549	166	21	)	)	PUNCT
iajs-549	166	22	:	:	PUNCT
iajs-549	166	23	the	the	DET
iajs-549	166	24	mean	mean	ADJ
iajs-549	166	25	square	square	ADJ
iajs-549	166	26	error	error	NOUN
iajs-549	166	27	of	of	ADP
iajs-549	166	28	ffnn	ffnn	NOUN
iajs-549	166	29	for	for	ADP
iajs-549	166	30	example	example	NOUN
iajs-549	166	31	(	(	PUNCT
iajs-549	166	32	1	1	X
iajs-549	166	33	)	)	PUNCT
iajs-549	166	34	fig.(3	fig.(3	PROPN
iajs-549	166	35	)	)	PUNCT
iajs-549	166	36	the	the	DET
iajs-549	166	37	performance	performance	NOUN
iajs-549	166	38	of	of	ADP
iajs-549	166	39	ffnn	ffnn	NOUN
iajs-549	166	40	for	for	ADP
iajs-549	166	41	example	example	NOUN
iajs-549	166	42	(	(	PUNCT
iajs-549	166	43	1	1	X
iajs-549	166	44	)	)	PUNCT
iajs-549	166	45	mathematics	mathematic	NOUN
iajs-549	166	46	323	323	NUM
iajs-549	166	47	مجلة	مجلة	NOUN
iajs-549	166	48	إبن	إبن	VERB
iajs-549	166	49	الهيثم	الهيثم	ADJ
iajs-549	166	50	للعلوم	للعلوم	NOUN
iajs-549	166	51	الصرفة	الصرفة	NOUN
iajs-549	166	52	و	و	PRON
iajs-549	166	53	التطبيقية	التطبيقية	ADJ
iajs-549	166	54	2012	2012	NUM
iajs-549	166	55	السنة	السنة	NOUN
iajs-549	166	56	25	25	NUM
iajs-549	166	57	المجلد	المجلد	NOUN
iajs-549	166	58	3	3	NUM
iajs-549	166	59	العدد	العدد	PROPN
iajs-549	166	60	ibn	ibn	PROPN
iajs-549	166	61	al	al	PROPN
iajs-549	166	62	-	-	PUNCT
iajs-549	166	63	haitham	haitham	PROPN
iajs-549	166	64	journal	journal	PROPN
iajs-549	166	65	for	for	ADP
iajs-549	166	66	pure	pure	ADJ
iajs-549	166	67	and	and	CCONJ
iajs-549	166	68	applied	apply	VERB
iajs-549	166	69	science	science	NOUN
iajs-549	166	70	no	no	NOUN
iajs-549	166	71	.	.	NOUN
iajs-549	166	72	3	3	NUM
iajs-549	166	73	vol	vol	NOUN
iajs-549	166	74	.	.	PUNCT
iajs-549	167	1	25	25	NUM
iajs-549	167	2	year	year	NOUN
iajs-549	167	3	2012	2012	NUM
iajs-549	167	4	fig.(4	fig.(4	NOUN
iajs-549	167	5	)	)	PUNCT
iajs-549	167	6	:	:	PUNCT
iajs-549	168	1	the	the	DET
iajs-549	168	2	mean	mean	ADJ
iajs-549	168	3	square	square	ADJ
iajs-549	168	4	error	error	NOUN
iajs-549	168	5	of	of	ADP
iajs-549	168	6	ffnn	ffnn	NOUN
iajs-549	168	7	for	for	ADP
iajs-549	168	8	example	example	NOUN
iajs-549	168	9	(	(	PUNCT
iajs-549	168	10	2	2	X
iajs-549	168	11	)	)	PUNCT
iajs-549	168	12	fig.(5	fig.(5	NOUN
iajs-549	168	13	)	)	PUNCT
iajs-549	168	14	:	:	PUNCT
iajs-549	168	15	the	the	DET
iajs-549	168	16	performance	performance	NOUN
iajs-549	168	17	of	of	ADP
iajs-549	168	18	ffnn	ffnn	NOUN
iajs-549	168	19	for	for	ADP
iajs-549	168	20	example	example	NOUN
iajs-549	168	21	(	(	PUNCT
iajs-549	168	22	2	2	X
iajs-549	168	23	)	)	PUNCT
iajs-549	168	24	mathematics	mathematic	NOUN
iajs-549	168	25	324	324	NUM
iajs-549	168	26	مجلة	مجلة	NOUN
iajs-549	168	27	إبن	إبن	VERB
iajs-549	168	28	الهيثم	الهيثم	ADJ
iajs-549	168	29	للعلوم	للعلوم	NOUN
iajs-549	168	30	الصرفة	الصرفة	NOUN
iajs-549	169	1	و	و	PRON
iajs-549	169	2	التطبيقية	التطبيقية	ADJ
iajs-549	169	3	2012	2012	NUM
iajs-549	169	4	السنة	السنة	NOUN
iajs-549	169	5	25	25	NUM
iajs-549	169	6	المجلد	المجلد	NOUN
iajs-549	169	7	3	3	NUM
iajs-549	169	8	العدد	العدد	PROPN
iajs-549	169	9	ibn	ibn	PROPN
iajs-549	169	10	al	al	PROPN
iajs-549	169	11	-	-	PUNCT
iajs-549	169	12	haitham	haitham	PROPN
iajs-549	169	13	journal	journal	PROPN
iajs-549	169	14	for	for	ADP
iajs-549	169	15	pure	pure	ADJ
iajs-549	169	16	and	and	CCONJ
iajs-549	169	17	applied	apply	VERB
iajs-549	169	18	science	science	NOUN
iajs-549	169	19	no	no	NOUN
iajs-549	169	20	.	.	NOUN
iajs-549	169	21	3	3	NUM
iajs-549	169	22	vol	vol	NOUN
iajs-549	169	23	.	.	PUNCT
iajs-549	170	1	25	25	NUM
iajs-549	170	2	year	year	NOUN
iajs-549	170	3	2012	2012	NUM
iajs-549	170	4	-تغـذية	-تغـذية	PROPN
iajs-549	170	5	تقـدمية	تقـدمية	NOUN
iajs-549	170	6	لحل	لحل	VERB
iajs-549	171	1	معـادالت	معـادالت	NUM
iajs-549	171	2	فولتيرا	فولتيرا	PROPN
iajs-549	171	3	التفاضليـة	التفاضليـة	PROPN
iajs-549	172	1	يتـصميم	يتـصميم	PROPN
iajs-549	172	2	شـبكة	شـبكة	PROPN
iajs-549	172	3	عصبيـة	عصبيـة	PROPN
iajs-549	173	1	ذ	ذ	INTJ
iajs-549	173	2	التكاملية	التكاملية	PROPN
iajs-549	173	3	الخطية	الخطية	PROPN
iajs-549	173	4	و	و	PRON
iajs-549	173	5	غادة	غادة	NOUN
iajs-549	173	6	حسن	حسن	NOUN
iajs-549	173	7	إبراهيم	إبراهيم	NOUN
iajs-549	173	8	لمى	لمى	X
iajs-549	173	9	ناجي	ناجي	PRON
iajs-549	173	10	محـمد	محـمد	NOUN
iajs-549	173	11	توفيـق	توفيـق	NOUN
iajs-549	173	12	الهيثم	الهيثم	PROPN
iajs-549	173	13	،	،	PROPN
iajs-549	173	14	جامعة	جامعة	PROPN
iajs-549	173	15	بغدادقسم	بغدادقسم	PROPN
iajs-549	173	16	الرياضيات	الرياضيات	PROPN
iajs-549	173	17	،	،	PROPN
iajs-549	173	18	كلية	كلية	PROPN
iajs-549	173	19	التربية	التربية	NOUN
iajs-549	173	20	ابن	ابن	PROPN
iajs-549	173	21	2011	2011	NUM
iajs-549	173	22	ايار	ايار	NOUN
iajs-549	173	23	30قبل	30قبل	PROPN
iajs-549	173	24	البحث	البحث	VERB
iajs-549	173	25	في	في	ADP
iajs-549	173	26	:	:	PUNCT
iajs-549	173	27	2011	2011	NUM
iajs-549	173	28	نيسان18استلم	نيسان18استلم	X
iajs-549	173	29	البحث	البحث	VERB
iajs-549	173	30	في	في	PROPN
iajs-549	173	31	:	:	PUNCT
iajs-549	173	32	الخالصة	الخالصة	PROPN
iajs-549	173	33	حل	حل	PROPN
iajs-549	173	34	التقريبي	التقريبي	PROPN
iajs-549	173	35	لمعادلة	لمعادلة	PROPN
iajs-549	173	36	فولتيرا	فولتيرا	PROPN
iajs-549	173	37	متعددة	متعددة	VERB
iajs-549	173	38	الطبقات	الطبقات	PROPN
iajs-549	173	39	اليجاد	اليجاد	PROPN
iajs-549	173	40	التغذية	التغذية	PROPN
iajs-549	173	41	تقدمية	تقدمية	VERB
iajs-549	174	1	يالهدف	يالهدف	ADV
iajs-549	174	2	من	من	INTJ
iajs-549	174	3	البحث	البحث	ADV
iajs-549	174	4	هو	هو	INTJ
iajs-549	174	5	تصميم	تصميم	PROPN
iajs-549	174	6	شبكة	شبكة	PROPN
iajs-549	174	7	عصبية	عصبية	NOUN
iajs-549	174	8	ذ	ذ	ADP
iajs-549	174	9	هذه	هذه	PROPN
iajs-549	174	10	الطريقة	الطريقة	NOUN
iajs-549	174	11	ساعد	ساعد	VERB
iajs-549	174	12	على	على	PROPN
iajs-549	174	13	تقليل	تقليل	PROPN
iajs-549	174	14	الحسابات	الحسابات	PROPN
iajs-549	174	15	عمالالشروط	عمالالشروط	PROPN
iajs-549	174	16	الحدودية	الحدودية	PROPN
iajs-549	174	17	.	.	PUNCT
iajs-549	175	1	است	است	PROPN
iajs-549	175	2	يالتفاضلية	يالتفاضلية	PROPN
iajs-549	175	3	التكاملية	التكاملية	PROPN
iajs-549	175	4	الخطية	الخطية	PROPN
iajs-549	175	5	من	من	NUM
iajs-549	175	6	الرتبة	الرتبة	ADJ
iajs-549	175	7	الثانية	الثانية	PROPN
iajs-549	176	1	ذ	ذ	INTJ
iajs-549	176	2	.أيضاالخوارزميات	.أيضاالخوارزميات	VERB
iajs-549	177	1	من	من	PROPN
iajs-549	177	2	خالل	خالل	PROPN
iajs-549	177	3	األمثلة	األمثلة	PROPN
iajs-549	178	1	عمالوضحنا	عمالوضحنا	PROPN
iajs-549	178	2	كيفية	كيفية	PROPN
iajs-549	178	3	است	است	PROPN
iajs-549	178	4	.أثناء	.أثناء	PUNCT
iajs-549	179	1	الحل	الحل	PROPN
iajs-549	179	2	بشكل	بشكل	NOUN
iajs-549	179	3	جذاب	جذاب	VERB
iajs-549	179	4	في	في	ADP
iajs-549	179	5	تغذيــــة	تغذيــــة	PROPN
iajs-549	179	6	تقدميــــة	تقدميــــة	PROPN
iajs-549	179	7	،	،	PROPN
iajs-549	179	8	وشـــبكة	وشـــبكة	PROPN
iajs-549	179	9	عصــــبية	عصــــبية	PROPN
iajs-549	179	10	ذالتكامليــــة	ذالتكامليــــة	ADJ
iajs-549	179	11	،	،	NOUN
iajs-549	179	12	-	-	PUNCT
iajs-549	179	13	:	:	PUNCT
iajs-549	179	14	مســــائل	مســــائل	PROPN
iajs-549	179	15	القــــيم	القــــيم	ADJ
iajs-549	179	16	الحدوديــــة	الحدوديــــة	PROPN
iajs-549	179	17	،	،	PROPN
iajs-549	179	18	معادلـــة	معادلـــة	NOUN
iajs-549	179	19	فــــولتيرا	فــــولتيرا	NOUN
iajs-549	179	20	التفاضــــليةالكلمــــات	التفاضــــليةالكلمــــات	PROPN
iajs-549	179	21	المفتاحيــــة	المفتاحيــــة	PROPN
iajs-549	179	22	خوارزمية	خوارزمية	PROPN
iajs-549	179	23	تدريب	تدريب	ADJ
iajs-549	179	24	للتوليد	للتوليد	NOUN
iajs-549	179	25	الخلفي	الخلفي	NOUN
iajs-549	179	26	.	.	PUNCT
iajs-549	180	1	what	what	PRON
iajs-549	180	2	are	be	AUX
iajs-549	180	3	artificial	artificial	ADJ
iajs-549	180	4	neural	neural	ADJ
iajs-549	180	5	networks	network	NOUN
iajs-549	180	6	?	?	PUNCT
iajs-549	181	1	[	[	X
iajs-549	181	2	10	10	NUM
iajs-549	181	3	]	]	PUNCT
iajs-549	181	4	note	note	NOUN
iajs-549	181	5	that	that	SCONJ
iajs-549	181	6	yt(x	yt(x	NOUN
iajs-549	181	7	)	)	PUNCT
iajs-549	181	8	satisfies	satisfy	VERB
iajs-549	181	9	the	the	DET
iajs-549	181	10	bc	bc	PROPN
iajs-549	181	11	by	by	ADP
iajs-549	181	12	construction	construction	NOUN
iajs-549	181	13	.	.	PUNCT
iajs-549	182	1	the	the	DET
iajs-549	182	2	error	error	NOUN
iajs-549	182	3	quantity	quantity	NOUN
iajs-549	182	4	to	to	PART
iajs-549	182	5	be	be	AUX
iajs-549	182	6	minimizedis	minimizedi	NOUN
iajs-549	182	7	given	give	VERB
iajs-549	182	8	by	by	ADP
iajs-549	182	9	:	:	PUNCT
iajs-549	182	10	e[p	e[p	NUM
iajs-549	182	11	]	]	X
iajs-549	182	12	(	(	PUNCT
iajs-549	182	13	∑i	∑i	INTJ
iajs-549	182	14	(	(	PUNCT
iajs-549	182	15	ya(xi	ya(xi	PROPN
iajs-549	182	16	)	)	PUNCT
iajs-549	182	17	–	–	PUNCT
iajs-549	182	18	yt(xi	yt(xi	PROPN
iajs-549	182	19	)	)	PUNCT
iajs-549	182	20	)	)	PUNCT
iajs-549	182	21	2	2	NUM
iajs-549	182	22	(	(	PUNCT
iajs-549	182	23	8)	8)	NOUN
iajs-549	182	24	10.stergiou	10.stergiou	NUM
iajs-549	182	25	,	,	PUNCT
iajs-549	182	26	c.	c.	PROPN
iajs-549	182	27	andsiganos	andsiganos	PROPN
iajs-549	182	28	,	,	PUNCT
iajs-549	182	29	d.	d.	PROPN
iajs-549	182	30	(	(	PUNCT
iajs-549	182	31	2008	2008	NUM
iajs-549	182	32	)	)	PUNCT
iajs-549	182	33	,	,	PUNCT
iajs-549	182	34	neural	neural	ADJ
iajs-549	182	35	networks	network	NOUN
iajs-549	182	36	,	,	PUNCT
iajs-549	182	37	ieee	ieee	NOUN
iajs-549	182	38	neural	neural	PROPN
iajs-549	182	39	networks	network	NOUN
iajs-549	182	40	council	council	PROPN
iajs-549	182	41	11.hristev	11.hristev	NUM
iajs-549	182	42	,	,	PUNCT
iajs-549	182	43	r.	r.	PROPN
iajs-549	182	44	m.	m.	PROPN
iajs-549	182	45	(	(	PUNCT
iajs-549	182	46	1998	1998	NUM
iajs-549	182	47	)	)	PUNCT
iajs-549	182	48	,	,	PUNCT
iajs-549	182	49	"	"	PUNCT
iajs-549	182	50	the	the	DET
iajs-549	182	51	ann	ann	PROPN
iajs-549	182	52	book	book	NOUN
iajs-549	182	53	"	"	PUNCT
iajs-549	182	54	,	,	PUNCT
iajs-549	182	55	edition	edition	NOUN
iajs-549	182	56	1	1	NUM
iajs-549	182	57	.	.	PUNCT
iajs-549	182	58	تـصميم	تـصميم	PROPN
iajs-549	182	59	شـبكة	شـبكة	PROPN
iajs-549	182	60	عصبيـة	عصبيـة	PROPN
iajs-549	183	1	ذي	ذي	PROPN
iajs-549	183	2	تغـذية	تغـذية	PROPN
iajs-549	183	3	تقـدمية	تقـدمية	PROPN
iajs-549	183	4	لحل	لحل	PUNCT
iajs-549	183	5	معـادلات	معـادلات	NUM
iajs-549	183	6	فولتيرا	فولتيرا	NOUN
iajs-549	183	7	التفاضليـة	التفاضليـة	PROPN
iajs-549	183	8	-	-	PUNCT
iajs-549	183	9	التكاملية	التكاملية	PROPN
iajs-549	183	10	الخطية	الخطية	NOUN