id	sid	tid	token	lemma	pos
iajs-1023	1	1	ibn	ibn	PROPN
iajs-1023	1	2	alhaitham	alhaitham	NOUN
iajs-1023	1	3	j.	j.	PROPN
iajs-1023	1	4	for	for	ADP
iajs-1023	1	5	pure	pure	ADJ
iajs-1023	1	6	&	&	CCONJ
iajs-1023	1	7	appl	appl	PROPN
iajs-1023	1	8	.	.	PUNCT
iajs-1023	2	1	sci	sci	PROPN
iajs-1023	2	2	.	.	PUNCT
iajs-1023	3	1	vol.23	vol.23	PROPN
iajs-1023	3	2	(	(	PUNCT
iajs-1023	3	3	2	2	NUM
iajs-1023	3	4	)	)	PUNCT
iajs-1023	3	5	2010	2010	NUM
iajs-1023	3	6	some	some	DET
iajs-1023	3	7	statistical	statistical	ADJ
iajs-1023	3	8	properties	property	NOUN
iajs-1023	3	9	of	of	ADP
iajs-1023	3	10	linear	linear	PROPN
iajs-1023	3	11	volterra	volterra	PROPN
iajs-1023	3	12	integral	integral	ADJ
iajs-1023	3	13	equation	equation	NOUN
iajs-1023	3	14	solutions	solution	NOUN
iajs-1023	3	15	a.a	a.a	PROPN
iajs-1023	3	16	.	.	PROPN
iajs-1023	3	17	hussein	hussein	PROPN
iajs-1023	3	18	department	department	PROPN
iajs-1023	3	19	of	of	ADP
iajs-1023	3	20	mathematics	mathematics	PROPN
iajs-1023	3	21	,	,	PUNCT
iajs-1023	3	22	college	college	NOUN
iajs-1023	3	23	of	of	ADP
iajs-1023	3	24	education	education	PROPN
iajs-1023	3	25	ibn	ibn	PROPN
iajs-1023	3	26	-	-	PUNCT
iajs-1023	3	27	al	al	PROPN
iajs-1023	3	28	-	-	PUNCT
iajs-1023	3	29	haitham	haitham	PROPN
iajs-1023	3	30	,	,	PUNCT
iajs-1023	3	31	university	university	PROPN
iajs-1023	3	32	of	of	ADP
iajs-1023	3	33	baghdad	baghdad	PROPN
iajs-1023	3	34	abstract	abstract	NOUN
iajs-1023	3	35	our	our	PRON
iajs-1023	3	36	aim	aim	NOUN
iajs-1023	3	37	of	of	ADP
iajs-1023	3	38	this	this	DET
iajs-1023	3	39	research	research	NOUN
iajs-1023	3	40	is	be	AUX
iajs-1023	3	41	to	to	PART
iajs-1023	3	42	find	find	VERB
iajs-1023	3	43	the	the	DET
iajs-1023	3	44	results	result	NOUN
iajs-1023	3	45	of	of	ADP
iajs-1023	3	46	numerical	numerical	ADJ
iajs-1023	3	47	solution	solution	NOUN
iajs-1023	3	48	of	of	ADP
iajs-1023	3	49	volterra	volterra	PROPN
iajs-1023	3	50	linear	linear	PROPN
iajs-1023	3	51	integral	integral	ADJ
iajs-1023	3	52	equation	equation	NOUN
iajs-1023	3	53	of	of	ADP
iajs-1023	3	54	the	the	DET
iajs-1023	3	55	second	second	ADJ
iajs-1023	3	56	kind	kind	NOUN
iajs-1023	3	57	using	use	VERB
iajs-1023	3	58	numerical	numerical	ADJ
iajs-1023	3	59	methods	method	NOUN
iajs-1023	3	60	such	such	ADJ
iajs-1023	3	61	that	that	DET
iajs-1023	3	62	trapezoidal	trapezoidal	ADJ
iajs-1023	3	63	and	and	CCONJ
iajs-1023	3	64	simpson	simpson	PROPN
iajs-1023	3	65	's	's	PART
iajs-1023	3	66	rule	rule	NOUN
iajs-1023	3	67	.	.	PUNCT
iajs-1023	4	1	that	that	PRON
iajs-1023	4	2	is	be	AUX
iajs-1023	4	3	to	to	PART
iajs-1023	4	4	derive	derive	VERB
iajs-1023	4	5	some	some	DET
iajs-1023	4	6	statistical	statistical	ADJ
iajs-1023	4	7	properties	property	NOUN
iajs-1023	4	8	expected	expect	VERB
iajs-1023	4	9	value	value	NOUN
iajs-1023	4	10	,	,	PUNCT
iajs-1023	4	11	the	the	DET
iajs-1023	4	12	variance	variance	NOUN
iajs-1023	4	13	and	and	CCONJ
iajs-1023	4	14	the	the	DET
iajs-1023	4	15	correlation	correlation	NOUN
iajs-1023	4	16	coefficient	coefficient	NOUN
iajs-1023	4	17	between	between	ADP
iajs-1023	4	18	the	the	DET
iajs-1023	4	19	numerical	numerical	ADJ
iajs-1023	4	20	and	and	CCONJ
iajs-1023	4	21	exact	exact	ADJ
iajs-1023	4	22	solution	solution	NOUN
iajs-1023	4	23	□	□	SYM
iajs-1023	4	24	1	1	NUM
iajs-1023	4	25	.	.	X
iajs-1023	5	1	introduction	introduction	NOUN
iajs-1023	5	2	the	the	DET
iajs-1023	5	3	linear	linear	ADJ
iajs-1023	5	4	integral	integral	ADJ
iajs-1023	5	5	equation	equation	NOUN
iajs-1023	5	6	in	in	ADP
iajs-1023	5	7	u(x	u(x	NOUN
iajs-1023	5	8	)	)	PUNCT
iajs-1023	5	9	can	can	AUX
iajs-1023	5	10	be	be	AUX
iajs-1023	5	11	represented	represent	VERB
iajs-1023	5	12	as[1	as[1	NOUN
iajs-1023	5	13	]	]	PUNCT
iajs-1023	5	14	:	:	PUNCT
iajs-1023	5	15	dt)t(u	dt)t(u	X
iajs-1023	5	16	)	)	PUNCT
iajs-1023	5	17	t	t	PROPN
iajs-1023	5	18	,	,	PUNCT
iajs-1023	5	19	x(k)x(f)x(u)x(h	x(k)x(f)x(u)x(h	PROPN
iajs-1023	5	20	)	)	PUNCT
iajs-1023	6	1	x(b	x(b	PROPN
iajs-1023	6	2	a	a	DET
iajs-1023	6	3			NOUN
iajs-1023	6	4	...	...	PUNCT
iajs-1023	6	5	…	…	PUNCT
iajs-1023	6	6	…	…	PUNCT
iajs-1023	6	7	…	…	PUNCT
iajs-1023	6	8	…	…	SYM
iajs-1023	6	9	.	.	NUM
iajs-1023	6	10	…	…	PUNCT
iajs-1023	6	11	…	…	PUNCT
iajs-1023	6	12	…	…	PUNCT
iajs-1023	6	13	…	…	SYM
iajs-1023	6	14	.(1	.(1	NUM
iajs-1023	6	15	)	)	PUNCT
iajs-1023	6	16	equation	equation	NOUN
iajs-1023	6	17	(	(	PUNCT
iajs-1023	6	18	1	1	X
iajs-1023	6	19	)	)	PUNCT
iajs-1023	6	20	is	be	AUX
iajs-1023	6	21	called	call	VERB
iajs-1023	6	22	a	a	DET
iajs-1023	6	23	volterra	volterra	NOUN
iajs-1023	6	24	integral	integral	ADJ
iajs-1023	6	25	equation	equation	NOUN
iajs-1023	7	1	when	when	SCONJ
iajs-1023	7	2	b(x)=x	b(x)=x	NOUN
iajs-1023	7	3	,	,	PUNCT
iajs-1023	7	4	dt)t(u	dt)t(u	NOUN
iajs-1023	7	5	)	)	PUNCT
iajs-1023	7	6	t	t	PROPN
iajs-1023	7	7	,	,	PUNCT
iajs-1023	7	8	x(k)x(f)x(u)x(h	x(k)x(f)x(u)x(h	PROPN
iajs-1023	7	9	x	x	X
iajs-1023	7	10	a	a	DET
iajs-1023	7	11			NOUN
iajs-1023	7	12	…	…	PUNCT
iajs-1023	7	13	…	…	PUNCT
iajs-1023	7	14	...	...	PUNCT
iajs-1023	7	15	…	…	PUNCT
iajs-1023	7	16	…	…	PUNCT
iajs-1023	7	17	…	…	PUNCT
iajs-1023	7	18	…	…	PUNCT
iajs-1023	7	19	…	…	PUNCT
iajs-1023	7	20	…	…	PUNCT
iajs-1023	7	21	…	…	PUNCT
iajs-1023	7	22	…	…	SYM
iajs-1023	7	23	.(2	.(2	NOUN
iajs-1023	7	24	)	)	PUNCT
iajs-1023	7	25	equation	equation	NOUN
iajs-1023	7	26	(	(	PUNCT
iajs-1023	7	27	2	2	X
iajs-1023	7	28	)	)	PUNCT
iajs-1023	7	29	is	be	AUX
iajs-1023	7	30	called	call	VERB
iajs-1023	7	31	a	a	DET
iajs-1023	7	32	volterra	volterra	NOUN
iajs-1023	7	33	equation	equation	NOUN
iajs-1023	7	34	of	of	ADP
iajs-1023	7	35	the	the	DET
iajs-1023	7	36	first	first	ADJ
iajs-1023	7	37	kind	kind	NOUN
iajs-1023	7	38	when	when	SCONJ
iajs-1023	7	39	h=0	h=0	X
iajs-1023	7	40	,	,	PUNCT
iajs-1023	7	41	and	and	CCONJ
iajs-1023	7	42	is	be	AUX
iajs-1023	7	43	called	call	VERB
iajs-1023	7	44	a	a	DET
iajs-1023	7	45	volterra	volterra	NOUN
iajs-1023	7	46	equation	equation	NOUN
iajs-1023	7	47	of	of	ADP
iajs-1023	7	48	the	the	DET
iajs-1023	7	49	second	second	ADJ
iajs-1023	7	50	kind	kind	NOUN
iajs-1023	7	51	when	when	SCONJ
iajs-1023	7	52	h=1	h=1	NOUN
iajs-1023	7	53	,	,	PUNCT
iajs-1023	7	54	k(x	k(x	PROPN
iajs-1023	7	55	,	,	PUNCT
iajs-1023	7	56	t	t	PROPN
iajs-1023	7	57	)	)	PUNCT
iajs-1023	7	58	is	be	AUX
iajs-1023	7	59	known	know	VERB
iajs-1023	7	60	function	function	NOUN
iajs-1023	7	61	and	and	CCONJ
iajs-1023	7	62	is	be	AUX
iajs-1023	7	63	called	call	VERB
iajs-1023	7	64	the	the	DET
iajs-1023	7	65	kernel	kernel	NOUN
iajs-1023	7	66	of	of	ADP
iajs-1023	7	67	the	the	DET
iajs-1023	7	68	integral	integral	ADJ
iajs-1023	7	69	equation	equation	NOUN
iajs-1023	7	70	,	,	PUNCT
iajs-1023	7	71	where	where	SCONJ
iajs-1023	7	72	a	a	PRON
iajs-1023	7	73	is	be	AUX
iajs-1023	7	74	constant[1	constant[1	NOUN
iajs-1023	7	75	]	]	PUNCT
iajs-1023	7	76	.	.	PUNCT
iajs-1023	8	1	if	if	SCONJ
iajs-1023	8	2	x	x	PRON
iajs-1023	8	3	be	be	AUX
iajs-1023	8	4	a	a	DET
iajs-1023	8	5	continuous	continuous	ADJ
iajs-1023	8	6	type	type	NOUN
iajs-1023	8	7	of	of	ADP
iajs-1023	8	8	random	random	ADJ
iajs-1023	8	9	variable	variable	NOUN
iajs-1023	8	10	having	have	VERB
iajs-1023	8	11	a	a	DET
iajs-1023	8	12	p.d.f	p.d.f	NOUN
iajs-1023	8	13	.	.	PUNCT
iajs-1023	9	1	f(x	f(x	PROPN
iajs-1023	9	2	)	)	PUNCT
iajs-1023	9	3	,	,	PUNCT
iajs-1023	9	4	and	and	CCONJ
iajs-1023	9	5	u(x	u(x	PROPN
iajs-1023	9	6	)	)	PUNCT
iajs-1023	9	7	be	be	VERB
iajs-1023	9	8	a	a	DET
iajs-1023	9	9	function	function	NOUN
iajs-1023	9	10	of	of	ADP
iajs-1023	9	11	x	x	PUNCT
iajs-1023	9	12	such	such	ADJ
iajs-1023	9	13	that	that	SCONJ
iajs-1023	9	14			NOUN
iajs-1023	9	15			PROPN
iajs-1023	9	16	dx	dx	PROPN
iajs-1023	9	17	f(x	f(x	PROPN
iajs-1023	9	18	)	)	PUNCT
iajs-1023	9	19	)	)	PUNCT
iajs-1023	9	20	x(u	x(u	PROPN
iajs-1023	9	21	,	,	PUNCT
iajs-1023	9	22	and	and	CCONJ
iajs-1023	9	23	if	if	SCONJ
iajs-1023	9	24	x	x	PRON
iajs-1023	9	25	is	be	AUX
iajs-1023	9	26	a	a	DET
iajs-1023	9	27	discrete	discrete	ADJ
iajs-1023	9	28	type	type	NOUN
iajs-1023	9	29	of	of	ADP
iajs-1023	9	30	random	random	ADJ
iajs-1023	9	31	variable[2	variable[2	NOUN
iajs-1023	9	32	]	]	PUNCT
iajs-1023	9	33	such	such	ADJ
iajs-1023	9	34	that	that	SCONJ
iajs-1023	9	35			X
iajs-1023	9	36	x	x	X
iajs-1023	9	37	f(x	f(x	PROPN
iajs-1023	9	38	)	)	PUNCT
iajs-1023	9	39	)	)	PUNCT
iajs-1023	10	1	x(u	x(u	PROPN
iajs-1023	10	2	.	.	PUNCT
iajs-1023	11	1	then	then	ADV
iajs-1023	11	2	the	the	DET
iajs-1023	11	3	integral	integral	ADJ
iajs-1023	11	4	,	,	PUNCT
iajs-1023	11	5	or	or	CCONJ
iajs-1023	11	6	the	the	DET
iajs-1023	11	7	sum	sum	NOUN
iajs-1023	11	8	called	call	VERB
iajs-1023	11	9	the	the	DET
iajs-1023	11	10	expected	expected	ADJ
iajs-1023	11	11	value[2,3	value[2,3	PROPN
iajs-1023	11	12	]	]	PUNCT
iajs-1023	11	13	of	of	ADP
iajs-1023	11	14	u(x	u(x	NOUN
iajs-1023	11	15	)	)	PUNCT
iajs-1023	11	16	.	.	PUNCT
iajs-1023	12	1	and	and	CCONJ
iajs-1023	12	2	the	the	DET
iajs-1023	12	3	variance	variance	NOUN
iajs-1023	12	4	of	of	ADP
iajs-1023	12	5	x	x	PUNCT
iajs-1023	12	6	denoted	denote	VERB
iajs-1023	12	7	by	by	ADP
iajs-1023	12	8	σ2	σ2	NOUN
iajs-1023	12	9	or	or	CCONJ
iajs-1023	12	10	v(x	v(x	PROPN
iajs-1023	12	11	)	)	PUNCT
iajs-1023	12	12	,	,	PUNCT
iajs-1023	12	13	defined	define	VERB
iajs-1023	12	14	[	[	PUNCT
iajs-1023	12	15	2,3	2,3	NUM
iajs-1023	12	16	]	]	PUNCT
iajs-1023	12	17	as	as	ADP
iajs-1023	12	18	:	:	PUNCT
iajs-1023	12	19	222	222	NUM
iajs-1023	12	20	)	)	PUNCT
iajs-1023	12	21	e(x	e(x	NUM
iajs-1023	12	22	)	)	PUNCT
iajs-1023	12	23	x(e)x(v	x(e)x(v	NOUN
iajs-1023	13	1			ADP
iajs-1023	13	2			PROPN
iajs-1023	13	3	where	where	SCONJ
iajs-1023	13	4	x	x	PRON
iajs-1023	13	5	is	be	AUX
iajs-1023	13	6	a	a	DET
iajs-1023	13	7	discrete	discrete	ADJ
iajs-1023	13	8	or	or	CCONJ
iajs-1023	13	9	continuous	continuous	ADJ
iajs-1023	13	10	of	of	ADP
iajs-1023	13	11	random	random	ADJ
iajs-1023	13	12	variable	variable	NOUN
iajs-1023	13	13	and	and	CCONJ
iajs-1023	13	14	μ	μ	NOUN
iajs-1023	13	15	=	=	NOUN
iajs-1023	13	16	e(x	e(x	NUM
iajs-1023	13	17	)	)	PUNCT
iajs-1023	13	18	□	□	SYM
iajs-1023	13	19	2	2	X
iajs-1023	13	20	.	.	X
iajs-1023	14	1	solving	solve	VERB
iajs-1023	14	2	linear	linear	NOUN
iajs-1023	14	3	one	one	NUM
iajs-1023	14	4	dimension	dimension	NOUN
iajs-1023	14	5	volterra	volterra	NOUN
iajs-1023	14	6	integral	integral	ADJ
iajs-1023	14	7	equation	equation	NOUN
iajs-1023	14	8	of	of	ADP
iajs-1023	14	9	the	the	DET
iajs-1023	14	10	second	second	ADJ
iajs-1023	14	11	kind	kind	NOUN
iajs-1023	14	12	using	use	VERB
iajs-1023	14	13	trapezoidal	trapezoidal	NOUN
iajs-1023	14	14	rule[1	rule[1	NOUN
iajs-1023	14	15	]	]	SYM
iajs-1023	14	16	:	:	PUNCT
iajs-1023	14	17	dttutxkxfxu	dttutxkxfxu	NOUN
iajs-1023	14	18	x	x	X
iajs-1023	14	19	a	a	X
iajs-1023	14	20	)	)	PUNCT
iajs-1023	14	21	(	(	PUNCT
iajs-1023	14	22	)	)	PUNCT
iajs-1023	14	23	,	,	PUNCT
iajs-1023	14	24	(	(	PUNCT
iajs-1023	14	25	)	)	PUNCT
iajs-1023	14	26	(	(	PUNCT
iajs-1023	14	27	)	)	PUNCT
iajs-1023	14	28	(	(	PUNCT
iajs-1023	14	29			X
iajs-1023	14	30	…	…	PUNCT
iajs-1023	14	31	…	…	PUNCT
iajs-1023	14	32	…	…	PUNCT
iajs-1023	14	33	…	…	PUNCT
iajs-1023	14	34	…	…	PUNCT
iajs-1023	14	35	…	…	PUNCT
iajs-1023	14	36	…	…	PUNCT
iajs-1023	14	37	…	…	PUNCT
iajs-1023	14	38	…	…	PUNCT
iajs-1023	14	39	…	…	PUNCT
iajs-1023	14	40	…	…	PUNCT
iajs-1023	14	41	…	…	SYM
iajs-1023	14	42	.	.	NUM
iajs-1023	14	43	…	…	PUNCT
iajs-1023	14	44	…	…	PUNCT
iajs-1023	14	45	..	..	PUNCT
iajs-1023	14	46	(3	(3	PUNCT
iajs-1023	14	47	)	)	PUNCT
iajs-1023	14	48	by	by	ADP
iajs-1023	14	49	dividing	divide	VERB
iajs-1023	14	50	the	the	DET
iajs-1023	14	51	interval	interval	NOUN
iajs-1023	14	52	[	[	X
iajs-1023	14	53	a	a	X
iajs-1023	14	54	,	,	PUNCT
iajs-1023	14	55	x	x	X
iajs-1023	14	56	]	]	X
iajs-1023	14	57	into	into	ADP
iajs-1023	14	58	n	n	ADP
iajs-1023	14	59	subintervals	subinterval	NOUN
iajs-1023	14	60	[	[	X
iajs-1023	14	61	xi	xi	X
iajs-1023	14	62	,	,	PUNCT
iajs-1023	14	63	xi+1	xi+1	NOUN
iajs-1023	14	64	]	]	X
iajs-1023	14	65	,	,	PUNCT
iajs-1023	14	66	i=0,1,	i=0,1,	PROPN
iajs-1023	14	67	..	..	PUNCT
iajs-1023	14	68	,n-1	,n-1	PUNCT
iajs-1023	14	69	,	,	PUNCT
iajs-1023	14	70	such	such	ADJ
iajs-1023	14	71	that	that	SCONJ
iajs-1023	14	72	xi	xi	NOUN
iajs-1023	14	73	=	=	NOUN
iajs-1023	14	74	a+it	a+it	X
iajs-1023	14	75	,	,	PUNCT
iajs-1023	14	76	i=0,1,	i=0,1,	NOUN
iajs-1023	14	77	..	..	PUNCT
iajs-1023	14	78	,n	,n	NOUN
iajs-1023	14	79	,	,	PUNCT
iajs-1023	14	80	where	where	SCONJ
iajs-1023	14	81	t=(xn	t=(xn	PROPN
iajs-1023	14	82	-	-	PUNCT
iajs-1023	14	83	a)/n	a)/n	PROPN
iajs-1023	14	84	,	,	PUNCT
iajs-1023	14	85	xn	xn	PROPN
iajs-1023	14	86	is	be	AUX
iajs-1023	14	87	the	the	DET
iajs-1023	14	88	end	end	NOUN
iajs-1023	14	89	point	point	NOUN
iajs-1023	14	90	for	for	ADP
iajs-1023	14	91	x	x	NOUN
iajs-1023	14	92	,	,	PUNCT
iajs-1023	14	93	then	then	ADV
iajs-1023	14	94	by	by	ADP
iajs-1023	14	95	setting	set	VERB
iajs-1023	14	96	x	x	X
iajs-1023	14	97	=	=	SYM
iajs-1023	14	98	xi	xi	NOUN
iajs-1023	14	99	,	,	PUNCT
iajs-1023	14	100	i=0,1,	i=0,1,	PROPN
iajs-1023	14	101	..	..	PUNCT
iajs-1023	14	102	,n	,n	NOUN
iajs-1023	14	103	,	,	PUNCT
iajs-1023	14	104	in	in	ADP
iajs-1023	14	105	equation	equation	NOUN
iajs-1023	14	106	(	(	PUNCT
iajs-1023	14	107	3	3	X
iajs-1023	14	108	)	)	PUNCT
iajs-1023	14	109	we	we	PRON
iajs-1023	14	110	can	can	AUX
iajs-1023	14	111	have	have	VERB
iajs-1023	14	112	:	:	PUNCT
iajs-1023	14	113	dttutxkxfxu	dttutxkxfxu	NOUN
iajs-1023	14	114	ix	ix	ADP
iajs-1023	14	115	a	a	DET
iajs-1023	14	116	iii	iii	NOUN
iajs-1023	14	117	)	)	PUNCT
iajs-1023	14	118	(	(	PUNCT
iajs-1023	14	119	)	)	PUNCT
iajs-1023	14	120	,	,	PUNCT
iajs-1023	14	121	(	(	PUNCT
iajs-1023	14	122	)	)	PUNCT
iajs-1023	14	123	(	(	PUNCT
iajs-1023	14	124	)	)	PUNCT
iajs-1023	14	125	(	(	PUNCT
iajs-1023	14	126			X
iajs-1023	14	127	…	…	PUNCT
iajs-1023	14	128	.	.	NUM
iajs-1023	14	129	…	…	PUNCT
iajs-1023	14	130	…	…	PUNCT
iajs-1023	14	131	…	…	PUNCT
iajs-1023	14	132	…	…	SYM
iajs-1023	14	133	.	.	NUM
iajs-1023	14	134	…	…	PUNCT
iajs-1023	14	135	…	…	PUNCT
iajs-1023	14	136	…	…	PUNCT
iajs-1023	14	137	…	…	PUNCT
iajs-1023	14	138	…	…	PUNCT
iajs-1023	14	139	…	…	PUNCT
iajs-1023	14	140	.(4	.(4	NUM
iajs-1023	14	141	)	)	PUNCT
iajs-1023	14	142	then	then	ADV
iajs-1023	14	143	by	by	ADP
iajs-1023	14	144	replacing	replace	VERB
iajs-1023	14	145	the	the	DET
iajs-1023	14	146	integral	integral	ADJ
iajs-1023	14	147	term	term	NOUN
iajs-1023	14	148	in	in	ADP
iajs-1023	14	149	the	the	DET
iajs-1023	14	150	right	right	ADJ
iajs-1023	14	151	hand	hand	NOUN
iajs-1023	14	152	side	side	NOUN
iajs-1023	14	153	of	of	ADP
iajs-1023	14	154	equation	equation	NOUN
iajs-1023	14	155	(	(	PUNCT
iajs-1023	14	156	4	4	NUM
iajs-1023	14	157	)	)	PUNCT
iajs-1023	14	158	by	by	ADP
iajs-1023	14	159	the	the	DET
iajs-1023	14	160	trapezoidal	trapezoidal	ADJ
iajs-1023	14	161	rule	rule	NOUN
iajs-1023	14	162	,	,	PUNCT
iajs-1023	14	163	to	to	PART
iajs-1023	14	164	get	get	VERB
iajs-1023	14	165	:	:	PUNCT
iajs-1023	14	166	ihjpas	ihjpas	PROPN
iajs-1023	14	167	ibn	ibn	PROPN
iajs-1023	14	168	alhaitham	alhaitham	PROPN
iajs-1023	14	169	j.	j.	PROPN
iajs-1023	14	170	for	for	ADP
iajs-1023	14	171	pure	pure	ADJ
iajs-1023	14	172	&	&	CCONJ
iajs-1023	14	173	appl	appl	PROPN
iajs-1023	14	174	.	.	PUNCT
iajs-1023	15	1	sci	sci	PROPN
iajs-1023	15	2	.	.	PUNCT
iajs-1023	16	1	vol.23	vol.23	PROPN
iajs-1023	16	2	(	(	PUNCT
iajs-1023	16	3	2	2	NUM
iajs-1023	16	4	)	)	PUNCT
iajs-1023	16	5	2010	2010	NUM
iajs-1023	16	6	ij	ij	NOUN
iajs-1023	16	7	n	n	CCONJ
iajs-1023	16	8	,	,	PUNCT
iajs-1023	16	9	1,	1,	NUM
iajs-1023	16	10	...	...	PUNCT
iajs-1023	16	11	,i	,i	PUNCT
iajs-1023	17	1	]	]	X
iajs-1023	17	2	,	,	PUNCT
iajs-1023	17	3	)	)	PUNCT
iajs-1023	17	4	,	,	PUNCT
iajs-1023	17	5	(	(	PUNCT
iajs-1023	17	6	2	2	NUM
iajs-1023	17	7	1	1	NUM
iajs-1023	17	8	)	)	PUNCT
iajs-1023	17	9	,	,	PUNCT
iajs-1023	17	10	k(x	k(x	PROPN
iajs-1023	17	11	...	...	PUNCT
iajs-1023	17	12	)	)	PUNCT
iajs-1023	17	13	,	,	PUNCT
iajs-1023	17	14	(	(	PUNCT
iajs-1023	17	15	)	)	PUNCT
iajs-1023	17	16	,	,	PUNCT
iajs-1023	17	17	(	(	PUNCT
iajs-1023	17	18	2	2	NUM
iajs-1023	17	19	1	1	NUM
iajs-1023	17	20	[	[	NOUN
iajs-1023	17	21	)	)	PUNCT
iajs-1023	17	22	(	(	PUNCT
iajs-1023	17	23	)	)	PUNCT
iajs-1023	17	24	(	(	PUNCT
iajs-1023	17	25	)	)	PUNCT
iajs-1023	17	26	(	(	PUNCT
iajs-1023	17	27	)	)	PUNCT
iajs-1023	17	28	(	(	PUNCT
iajs-1023	17	29	11i	11i	NUM
iajs-1023	17	30	1100	1100	NUM
iajs-1023	17	31	00	00	NUM
iajs-1023	18	1			NOUN
iajs-1023	18	2			PROPN
iajs-1023	18	3			NUM
iajs-1023	18	4			NOUN
iajs-1023	18	5	jjijj	jjijj	PROPN
iajs-1023	18	6	iiii	iiii	PROPN
iajs-1023	18	7	utxkut	utxkut	PROPN
iajs-1023	18	8	utxkutxktxfxu	utxkutxktxfxu	PROPN
iajs-1023	18	9	xfxu	xfxu	X
iajs-1023	18	10	..	..	PUNCT
iajs-1023	18	11	…	…	PUNCT
iajs-1023	18	12	…	…	SYM
iajs-1023	18	13	.(5	.(5	NOUN
iajs-1023	18	14	)	)	PUNCT
iajs-1023	18	15	3	3	X
iajs-1023	18	16	.	.	X
iajs-1023	19	1	solving	solve	VERB
iajs-1023	19	2	linear	linear	NOUN
iajs-1023	19	3	one	one	NUM
iajs-1023	19	4	dimension	dimension	NOUN
iajs-1023	19	5	volterra	volterra	NOUN
iajs-1023	19	6	integral	integral	ADJ
iajs-1023	19	7	equation	equation	NOUN
iajs-1023	19	8	of	of	ADP
iajs-1023	19	9	the	the	DET
iajs-1023	19	10	second	second	ADJ
iajs-1023	19	11	kind	kind	NOUN
iajs-1023	19	12	using	use	VERB
iajs-1023	19	13	simpson	simpson	NOUN
iajs-1023	19	14	rule[1	rule[1	PROPN
iajs-1023	19	15	]	]	PUNCT
iajs-1023	19	16	.	.	PUNCT
iajs-1023	20	1	as	as	ADP
iajs-1023	20	2	above	above	ADP
iajs-1023	20	3	solution	solution	NOUN
iajs-1023	20	4	,	,	PUNCT
iajs-1023	20	5	we	we	PRON
iajs-1023	20	6	divide	divide	VERB
iajs-1023	20	7	the	the	DET
iajs-1023	20	8	interval	interval	NOUN
iajs-1023	20	9	[	[	X
iajs-1023	20	10	a	a	X
iajs-1023	20	11	,	,	PUNCT
iajs-1023	20	12	x	x	X
iajs-1023	20	13	]	]	X
iajs-1023	20	14	into	into	ADP
iajs-1023	20	15	n	n	ADP
iajs-1023	20	16	subintervals	subinterval	NOUN
iajs-1023	20	17	[	[	X
iajs-1023	20	18	xi	xi	X
iajs-1023	20	19	,	,	PUNCT
iajs-1023	20	20	xi+1	xi+1	NOUN
iajs-1023	20	21	]	]	X
iajs-1023	20	22	,	,	PUNCT
iajs-1023	20	23	i=0,1,	i=0,1,	PROPN
iajs-1023	20	24	..	..	PUNCT
iajs-1023	20	25	,n-1	,n-1	PUNCT
iajs-1023	20	26	,	,	PUNCT
iajs-1023	20	27	such	such	ADJ
iajs-1023	20	28	that	that	SCONJ
iajs-1023	20	29	xi	xi	NOUN
iajs-1023	20	30	=	=	NOUN
iajs-1023	20	31	a+it	a+it	X
iajs-1023	20	32	,	,	PUNCT
iajs-1023	20	33	i=0,1,	i=0,1,	NOUN
iajs-1023	20	34	..	..	PUNCT
iajs-1023	20	35	,n	,n	NOUN
iajs-1023	20	36	,	,	PUNCT
iajs-1023	20	37	where	where	SCONJ
iajs-1023	20	38	n	n	PRON
iajs-1023	20	39	is	be	AUX
iajs-1023	20	40	restricted	restrict	VERB
iajs-1023	20	41	to	to	PART
iajs-1023	20	42	be	be	AUX
iajs-1023	20	43	an	an	DET
iajs-1023	20	44	even	even	ADV
iajs-1023	20	45	integer	integer	NOUN
iajs-1023	20	46	,	,	PUNCT
iajs-1023	20	47	and	and	CCONJ
iajs-1023	20	48	t=(xn	t=(xn	PROPN
iajs-1023	20	49	-	-	PUNCT
iajs-1023	20	50	a)/n	a)/n	PROPN
iajs-1023	20	51	,	,	PUNCT
iajs-1023	20	52	xn	xn	PROPN
iajs-1023	20	53	is	be	AUX
iajs-1023	20	54	the	the	DET
iajs-1023	20	55	end	end	NOUN
iajs-1023	20	56	point	point	NOUN
iajs-1023	20	57	for	for	ADP
iajs-1023	20	58	x.	x.	NOUN
iajs-1023	20	59	by	by	ADP
iajs-1023	20	60	replacing	replace	VERB
iajs-1023	20	61	the	the	DET
iajs-1023	20	62	integral	integral	ADJ
iajs-1023	20	63	term	term	NOUN
iajs-1023	20	64	in	in	ADP
iajs-1023	20	65	the	the	DET
iajs-1023	20	66	right	right	ADJ
iajs-1023	20	67	hand	hand	NOUN
iajs-1023	20	68	side	side	NOUN
iajs-1023	20	69	of	of	ADP
iajs-1023	20	70	equation	equation	NOUN
iajs-1023	20	71	(	(	PUNCT
iajs-1023	20	72	4	4	NUM
iajs-1023	20	73	)	)	PUNCT
iajs-1023	20	74	by	by	ADP
iajs-1023	20	75	simpson	simpson	PROPN
iajs-1023	20	76	rule	rule	NOUN
iajs-1023	20	77	,	,	PUNCT
iajs-1023	20	78	to	to	PART
iajs-1023	20	79	get	get	VERB
iajs-1023	20	80	:	:	PUNCT
iajs-1023	20	81	ij	ij	NUM
iajs-1023	20	82	n	n	CCONJ
iajs-1023	20	83	,	,	PUNCT
iajs-1023	20	84	1,	1,	NUM
iajs-1023	20	85	...	...	PUNCT
iajs-1023	20	86	,i	,i	PUNCT
iajs-1023	20	87	,	,	PUNCT
iajs-1023	20	88	3	3	NUM
iajs-1023	20	89	h	h	NOUN
iajs-1023	20	90	where	where	SCONJ
iajs-1023	20	91	]	]	X
iajs-1023	20	92	,	,	PUNCT
iajs-1023	20	93	)	)	PUNCT
iajs-1023	20	94	,	,	PUNCT
iajs-1023	20	95	(	(	PUNCT
iajs-1023	20	96	)	)	PUNCT
iajs-1023	20	97	,	,	PUNCT
iajs-1023	20	98	k(x4	k(x4	NOUN
iajs-1023	20	99	...	...	PUNCT
iajs-1023	20	100	)	)	PUNCT
iajs-1023	20	101	,	,	PUNCT
iajs-1023	20	102	(	(	PUNCT
iajs-1023	20	103	2),(4	2),(4	NUM
iajs-1023	20	104	)	)	PUNCT
iajs-1023	20	105	,	,	PUNCT
iajs-1023	20	106	(	(	PUNCT
iajs-1023	20	107	[	[	X
iajs-1023	20	108	)	)	PUNCT
iajs-1023	20	109	(	(	PUNCT
iajs-1023	20	110	)	)	PUNCT
iajs-1023	20	111	(	(	PUNCT
iajs-1023	20	112	)	)	PUNCT
iajs-1023	20	113	(	(	PUNCT
iajs-1023	20	114	)	)	PUNCT
iajs-1023	20	115	(	(	PUNCT
iajs-1023	20	116	11i	11i	NUM
iajs-1023	20	117	221100	221100	NUM
iajs-1023	20	118	00	00	NUM
iajs-1023	20	119			VERB
iajs-1023	20	120			PUNCT
iajs-1023	21	1			NUM
iajs-1023	21	2			ADV
iajs-1023	21	3			NOUN
iajs-1023	21	4			PROPN
iajs-1023	21	5			PROPN
iajs-1023	21	6	t	t	PROPN
iajs-1023	21	7	utxkut	utxkut	PROPN
iajs-1023	21	8	utxkutxkutxkhxfxu	utxkutxkutxkhxfxu	PROPN
iajs-1023	21	9	xfxu	xfxu	PROPN
iajs-1023	21	10	jjijj	jjijj	PROPN
iajs-1023	21	11	iiiii	iiiii	PROPN
iajs-1023	21	12	…	…	PUNCT
iajs-1023	21	13	(	(	PUNCT
iajs-1023	21	14	6	6	NUM
iajs-1023	21	15	)	)	SYM
iajs-1023	21	16	4	4	NUM
iajs-1023	21	17	.	.	PUNCT
iajs-1023	22	1	the	the	DET
iajs-1023	22	2	formulation	formulation	NOUN
iajs-1023	22	3	of	of	ADP
iajs-1023	22	4	problem	problem	NOUN
iajs-1023	22	5	consider	consider	VERB
iajs-1023	22	6	the	the	DET
iajs-1023	22	7	one	one	NUM
iajs-1023	22	8	-	-	PUNCT
iajs-1023	22	9	dimensional	dimensional	ADJ
iajs-1023	22	10	volterra	volterra	NOUN
iajs-1023	22	11	linear	linear	VERB
iajs-1023	22	12	integral	integral	ADJ
iajs-1023	22	13	equation	equation	NOUN
iajs-1023	22	14	of	of	ADP
iajs-1023	22	15	the	the	DET
iajs-1023	22	16	second	second	ADJ
iajs-1023	22	17	kind	kind	NOUN
iajs-1023	22	18	:	:	PUNCT
iajs-1023	22	19	dt)t(u	dt)t(u	NOUN
iajs-1023	22	20	)	)	PUNCT
iajs-1023	22	21	t	t	PROPN
iajs-1023	22	22	,	,	PUNCT
iajs-1023	22	23	x(k)x(f)x(u)x(h	x(k)x(f)x(u)x(h	PROPN
iajs-1023	22	24	x	x	X
iajs-1023	22	25	a	a	DET
iajs-1023	22	26			PRON
iajs-1023	22	27	…	…	PUNCT
iajs-1023	22	28	…	…	PUNCT
iajs-1023	22	29	…	…	PUNCT
iajs-1023	22	30	…	…	PUNCT
iajs-1023	22	31	…	…	PUNCT
iajs-1023	22	32	…	…	PUNCT
iajs-1023	22	33	…	…	PUNCT
iajs-1023	22	34	…	…	PUNCT
iajs-1023	22	35	…	…	PUNCT
iajs-1023	22	36	…	…	PUNCT
iajs-1023	22	37	(	(	PUNCT
iajs-1023	22	38	7	7	NUM
iajs-1023	22	39	)	)	PUNCT
iajs-1023	22	40	first	first	ADJ
iajs-1023	22	41	step	step	NOUN
iajs-1023	22	42	:	:	PUNCT
iajs-1023	22	43	solve	solve	VERB
iajs-1023	22	44	the	the	DET
iajs-1023	22	45	integral	integral	ADJ
iajs-1023	22	46	equation	equation	NOUN
iajs-1023	22	47	in	in	ADP
iajs-1023	22	48	(	(	PUNCT
iajs-1023	22	49	7	7	X
iajs-1023	22	50	)	)	PUNCT
iajs-1023	22	51	using	use	VERB
iajs-1023	22	52	two	two	NUM
iajs-1023	22	53	numerical	numerical	ADJ
iajs-1023	22	54	methods	method	NOUN
iajs-1023	22	55	trapezoidal	trapezoidal	ADJ
iajs-1023	22	56	rule	rule	NOUN
iajs-1023	22	57	,	,	PUNCT
iajs-1023	22	58	then	then	ADV
iajs-1023	22	59	by	by	ADP
iajs-1023	22	60	simpson	simpson	PROPN
iajs-1023	22	61	rule	rule	PROPN
iajs-1023	22	62	which	which	PRON
iajs-1023	22	63	illustrated	illustrate	VERB
iajs-1023	22	64	in	in	ADP
iajs-1023	22	65	section	section	NOUN
iajs-1023	22	66	two	two	NUM
iajs-1023	22	67	.	.	PUNCT
iajs-1023	23	1	second	second	ADJ
iajs-1023	23	2	step	step	NOUN
iajs-1023	23	3	:	:	PUNCT
iajs-1023	23	4	interpolate	interpolate	VERB
iajs-1023	23	5	the	the	DET
iajs-1023	23	6	data	datum	NOUN
iajs-1023	23	7	obtained	obtain	VERB
iajs-1023	23	8	in	in	ADP
iajs-1023	23	9	step	step	NOUN
iajs-1023	23	10	one	one	NUM
iajs-1023	23	11	for	for	ADP
iajs-1023	23	12	each	each	DET
iajs-1023	23	13	method	method	NOUN
iajs-1023	23	14	respectively	respectively	ADV
iajs-1023	23	15	by	by	ADP
iajs-1023	23	16	using	use	VERB
iajs-1023	23	17	newton	newton	PROPN
iajs-1023	23	18	forward	forward	ADV
iajs-1023	23	19	formula	formula	NOUN
iajs-1023	23	20	[	[	X
iajs-1023	23	21	4	4	NUM
iajs-1023	23	22	]	]	PUNCT
iajs-1023	23	23	.	.	PUNCT
iajs-1023	24	1	third	third	ADJ
iajs-1023	24	2	step	step	NOUN
iajs-1023	24	3	:	:	PUNCT
iajs-1023	24	4	find	find	VERB
iajs-1023	24	5	the	the	DET
iajs-1023	24	6	expected	expect	VERB
iajs-1023	24	7	value	value	NOUN
iajs-1023	24	8	and	and	CCONJ
iajs-1023	24	9	the	the	DET
iajs-1023	24	10	variance	variance	NOUN
iajs-1023	24	11	[	[	X
iajs-1023	24	12	2,3	2,3	NUM
iajs-1023	24	13	]	]	PUNCT
iajs-1023	24	14	for	for	ADP
iajs-1023	24	15	the	the	DET
iajs-1023	24	16	result	result	NOUN
iajs-1023	24	17	obtained	obtain	VERB
iajs-1023	24	18	by	by	ADP
iajs-1023	24	19	trapezoidal	trapezoidal	ADJ
iajs-1023	24	20	rule	rule	NOUN
iajs-1023	24	21	,	,	PUNCT
iajs-1023	24	22	then	then	ADV
iajs-1023	24	23	for	for	ADP
iajs-1023	24	24	the	the	DET
iajs-1023	24	25	result	result	NOUN
iajs-1023	24	26	obtained	obtain	VERB
iajs-1023	24	27	using	use	VERB
iajs-1023	24	28	simpson	simpson	PROPN
iajs-1023	24	29	rule	rule	PROPN
iajs-1023	24	30	.	.	PUNCT
iajs-1023	25	1	fourth	fourth	ADJ
iajs-1023	25	2	step	step	NOUN
iajs-1023	25	3	:	:	PUNCT
iajs-1023	25	4	compute	compute	VERB
iajs-1023	25	5	the	the	DET
iajs-1023	25	6	correlation	correlation	NOUN
iajs-1023	25	7	coefficient	coefficient	NOUN
iajs-1023	26	1	[	[	X
iajs-1023	26	2	2,3	2,3	NUM
iajs-1023	26	3	]	]	PUNCT
iajs-1023	26	4	of	of	ADP
iajs-1023	26	5	the	the	DET
iajs-1023	26	6	solutions	solution	NOUN
iajs-1023	26	7	obtained	obtain	VERB
iajs-1023	26	8	in	in	ADP
iajs-1023	26	9	above	above	ADP
iajs-1023	26	10	steps	step	NOUN
iajs-1023	26	11	.	.	PUNCT
iajs-1023	27	1	example	example	NOUN
iajs-1023	27	2	1x0	1x0	NUM
iajs-1023	28	1	where	where	SCONJ
iajs-1023	28	2	dt	dt	NOUN
iajs-1023	28	3	)	)	PUNCT
iajs-1023	28	4	t(u	t(u	PROPN
iajs-1023	28	5	)	)	PUNCT
iajs-1023	29	1	tx()x2exp	tx()x2exp	PROPN
iajs-1023	29	2	(	(	PUNCT
iajs-1023	29	3	)	)	PUNCT
iajs-1023	29	4	3	3	NUM
iajs-1023	29	5	4	4	NUM
iajs-1023	29	6	xx2()x(u	xx2()x(u	NOUN
iajs-1023	29	7	x	x	SYM
iajs-1023	29	8	0	0	NUM
iajs-1023	29	9	2	2	NUM
iajs-1023	29	10			PROPN
iajs-1023	29	11			NOUN
iajs-1023	29	12			X
iajs-1023	29	13	…	…	PUNCT
iajs-1023	29	14	…	…	PUNCT
iajs-1023	29	15	…	…	PUNCT
iajs-1023	29	16	…	…	SYM
iajs-1023	29	17	.	.	NUM
iajs-1023	29	18	…	…	PUNCT
iajs-1023	29	19	.(8	.(8	X
iajs-1023	29	20	)	)	PUNCT
iajs-1023	30	1	we	we	PRON
iajs-1023	30	2	will	will	AUX
iajs-1023	30	3	solve	solve	VERB
iajs-1023	30	4	this	this	DET
iajs-1023	30	5	integral	integral	ADJ
iajs-1023	30	6	equation	equation	NOUN
iajs-1023	30	7	(	(	PUNCT
iajs-1023	30	8	8)	8)	NUM
iajs-1023	30	9	by	by	ADP
iajs-1023	30	10	using	use	VERB
iajs-1023	30	11	two	two	NUM
iajs-1023	30	12	methods	method	NOUN
iajs-1023	30	13	.	.	PUNCT
iajs-1023	31	1	first	first	ADV
iajs-1023	31	2	,	,	PUNCT
iajs-1023	31	3	by	by	ADP
iajs-1023	31	4	using	use	VERB
iajs-1023	31	5	trapezoidal	trapezoidal	ADJ
iajs-1023	31	6	rule	rule	NOUN
iajs-1023	31	7	.	.	PUNCT
iajs-1023	32	1	to	to	PART
iajs-1023	32	2	do	do	VERB
iajs-1023	32	3	this	this	PRON
iajs-1023	32	4	,	,	PUNCT
iajs-1023	32	5	we	we	PRON
iajs-1023	32	6	divide	divide	VERB
iajs-1023	32	7	the	the	DET
iajs-1023	32	8	interval	interval	NOUN
iajs-1023	32	9	of	of	ADP
iajs-1023	32	10	integration	integration	NOUN
iajs-1023	32	11	[	[	X
iajs-1023	32	12	0,1	0,1	NUM
iajs-1023	32	13	]	]	PUNCT
iajs-1023	32	14	into	into	ADP
iajs-1023	32	15	10	10	NUM
iajs-1023	32	16	equal	equal	ADJ
iajs-1023	32	17	subintervals	subinterval	NOUN
iajs-1023	32	18	of	of	ADP
iajs-1023	32	19	width	width	ADJ
iajs-1023	32	20	10	10	NUM
iajs-1023	32	21	1	1	NUM
iajs-1023	32	22	10	10	NUM
iajs-1023	32	23	01	01	NUM
iajs-1023	32	24			PROPN
iajs-1023	32	25			NOUN
iajs-1023	32	26	t	t	NOUN
iajs-1023	32	27	.	.	PUNCT
iajs-1023	33	1	since	since	SCONJ
iajs-1023	33	2	we	we	PRON
iajs-1023	33	3	use	use	VERB
iajs-1023	33	4	trapezoidal	trapezoidal	ADJ
iajs-1023	33	5	rule	rule	NOUN
iajs-1023	33	6	,	,	PUNCT
iajs-1023	33	7	we	we	PRON
iajs-1023	33	8	apply	apply	VERB
iajs-1023	33	9	equation	equation	NOUN
iajs-1023	33	10	(	(	PUNCT
iajs-1023	33	11	5	5	NUM
iajs-1023	33	12	)	)	PUNCT
iajs-1023	33	13	and	and	CCONJ
iajs-1023	33	14	we	we	PRON
iajs-1023	33	15	can	can	AUX
iajs-1023	33	16	written	write	VERB
iajs-1023	33	17	the	the	DET
iajs-1023	33	18	equation	equation	NOUN
iajs-1023	33	19	(	(	PUNCT
iajs-1023	33	20	5	5	NUM
iajs-1023	33	21	)	)	PUNCT
iajs-1023	33	22	in	in	ADP
iajs-1023	33	23	the	the	DET
iajs-1023	33	24	following	follow	VERB
iajs-1023	33	25	compact	compact	ADJ
iajs-1023	33	26	form	form	NOUN
iajs-1023	33	27	:	:	PUNCT
iajs-1023	33	28	ihjpas	ihjpa	VERB
iajs-1023	33	29	ibn	ibn	PROPN
iajs-1023	33	30	alhaitham	alhaitham	PROPN
iajs-1023	33	31	j.	j.	PROPN
iajs-1023	33	32	for	for	ADP
iajs-1023	33	33	pure	pure	ADJ
iajs-1023	33	34	&	&	CCONJ
iajs-1023	33	35	appl	appl	PROPN
iajs-1023	33	36	.	.	PUNCT
iajs-1023	34	1	sci	sci	PROPN
iajs-1023	34	2	.	.	PUNCT
iajs-1023	35	1	vol.23	vol.23	PROPN
iajs-1023	35	2	(	(	PUNCT
iajs-1023	35	3	2	2	NUM
iajs-1023	35	4	)	)	PUNCT
iajs-1023	35	5	2010	2010	NUM
iajs-1023	35	6	ij	ij	NOUN
iajs-1023	35	7	)	)	PUNCT
iajs-1023	35	8	t	t	PROPN
iajs-1023	35	9	,	,	PUNCT
iajs-1023	35	10	x(kk	x(kk	NUM
iajs-1023	35	11	n1,2,	n1,2,	NUM
iajs-1023	35	12	...	...	PUNCT
iajs-1023	35	13	,i	,i	PUNCT
iajs-1023	36	1	]	]	PUNCT
iajs-1023	36	2	uk	uk	PROPN
iajs-1023	36	3	2	2	NUM
iajs-1023	36	4	1	1	NUM
iajs-1023	36	5	uk	uk	PROPN
iajs-1023	36	6	...	...	PUNCT
iajs-1023	36	7	ukuk	ukuk	ADJ
iajs-1023	36	8	2	2	NUM
iajs-1023	36	9	1	1	NUM
iajs-1023	36	10	[	[	X
iajs-1023	36	11	tfu	tfu	NOUN
iajs-1023	36	12	fu	fu	PROPN
iajs-1023	36	13	jiij	jiij	PROPN
iajs-1023	36	14	jij1j1ij	jij1j1ij	PROPN
iajs-1023	36	15	11i00iii	11i00iii	NUM
iajs-1023	36	16	00	00	SYM
iajs-1023	36	17			NUM
iajs-1023	36	18			PROPN
iajs-1023	36	19			VERB
iajs-1023	36	20			NUM
iajs-1023	36	21			NUM
iajs-1023	36	22	…	…	PUNCT
iajs-1023	36	23	…	…	PUNCT
iajs-1023	36	24	…	…	PUNCT
iajs-1023	36	25	…	…	PUNCT
iajs-1023	36	26	…	…	PUNCT
iajs-1023	36	27	…	…	PUNCT
iajs-1023	36	28	…	…	PUNCT
iajs-1023	36	29	.(9	.(9	NUM
iajs-1023	36	30	)	)	PUNCT
iajs-1023	36	31	here	here	ADV
iajs-1023	36	32	we	we	PRON
iajs-1023	36	33	have	have	VERB
iajs-1023	36	34	x	x	PART
iajs-1023	36	35	tt,-xt)k(x	tt,-xt)k(x	PROPN
iajs-1023	36	36	,	,	PUNCT
iajs-1023	36	37	)	)	PUNCT
iajs-1023	36	38	,	,	PUNCT
iajs-1023	36	39	2exp	2exp	NOUN
iajs-1023	36	40	(	(	PUNCT
iajs-1023	36	41	)	)	PUNCT
iajs-1023	36	42	3	3	NUM
iajs-1023	36	43	4	4	NUM
iajs-1023	36	44	2	2	NUM
iajs-1023	36	45	(	(	PUNCT
iajs-1023	36	46	)	)	PUNCT
iajs-1023	36	47	(	(	PUNCT
iajs-1023	36	48	22	22	NUM
iajs-1023	36	49			PROPN
iajs-1023	36	50	xxxxf	xxxxf	PROPN
iajs-1023	36	51	then	then	ADV
iajs-1023	36	52	the	the	DET
iajs-1023	36	53	equation	equation	NOUN
iajs-1023	36	54	(	(	PUNCT
iajs-1023	36	55	9	9	X
iajs-1023	36	56	)	)	PUNCT
iajs-1023	36	57	becomes	become	VERB
iajs-1023	36	58	:	:	PUNCT
iajs-1023	36	59	ij	ij	NOUN
iajs-1023	36	60	n1,2,	n1,2,	NOUN
iajs-1023	36	61	...	...	PUNCT
iajs-1023	36	62	,i	,i	PUNCT
iajs-1023	36	63	]	]	PUNCT
iajs-1023	36	64	uk	uk	PROPN
iajs-1023	36	65	2	2	NUM
iajs-1023	36	66	1	1	NUM
iajs-1023	36	67	uk	uk	PROPN
iajs-1023	36	68	...	...	PUNCT
iajs-1023	36	69	ukuk	ukuk	NOUN
iajs-1023	36	70	2	2	NUM
iajs-1023	36	71	1	1	NUM
iajs-1023	36	72	[	[	X
iajs-1023	36	73	t	t	X
iajs-1023	36	74	)	)	PUNCT
iajs-1023	36	75	x2exp	x2exp	PROPN
iajs-1023	36	76	(	(	PUNCT
iajs-1023	36	77	)	)	PUNCT
iajs-1023	36	78	3	3	NUM
iajs-1023	36	79	4	4	NUM
iajs-1023	36	80	xx2(u	xx2(u	PROPN
iajs-1023	36	81	fu	fu	PROPN
iajs-1023	36	82	jij1j1ij11i00i	jij1j1ij11i00i	NOUN
iajs-1023	36	83	ii	ii	PROPN
iajs-1023	36	84	2	2	NUM
iajs-1023	36	85	ii	ii	PROPN
iajs-1023	36	86	00	00	NUM
iajs-1023	36	87			VERB
iajs-1023	36	88			NOUN
iajs-1023	36	89			VERB
iajs-1023	36	90			PRON
iajs-1023	36	91			NUM
iajs-1023	36	92	…	…	PUNCT
iajs-1023	36	93	…	…	PUNCT
iajs-1023	36	94	…	…	SYM
iajs-1023	36	95	.	.	PUNCT
iajs-1023	36	96	…	…	PUNCT
iajs-1023	36	97	.(10	.(10	NUM
iajs-1023	36	98	)	)	PUNCT
iajs-1023	36	99	by	by	ADP
iajs-1023	36	100	evaluating	evaluate	VERB
iajs-1023	36	101	equation	equation	NOUN
iajs-1023	36	102	(	(	PUNCT
iajs-1023	36	103	10	10	NUM
iajs-1023	36	104	)	)	PUNCT
iajs-1023	36	105	at	at	ADP
iajs-1023	36	106	each	each	DET
iajs-1023	36	107	i=1,2,	i=1,2,	NOUN
iajs-1023	36	108	…	…	PUNCT
iajs-1023	36	109	,10	,10	PUNCT
iajs-1023	36	110	one	one	PRON
iajs-1023	36	111	can	can	AUX
iajs-1023	36	112	get	get	VERB
iajs-1023	36	113	the	the	DET
iajs-1023	36	114	following	follow	VERB
iajs-1023	36	115	values	value	NOUN
iajs-1023	36	116	:	:	PUNCT
iajs-1023	36	117	u0=1.3333333333	u0=1.3333333333	NOUN
iajs-1023	36	118	,	,	PUNCT
iajs-1023	36	119	u1=1.1965553611	u1=1.1965553611	PRON
iajs-1023	36	120	,	,	PUNCT
iajs-1023	36	121	u2=1.1067485612	u2=1.1067485612	PRON
iajs-1023	36	122	,	,	PUNCT
iajs-1023	36	123	u3=1.0501770263	u3=1.0501770263	PROPN
iajs-1023	36	124	,	,	PUNCT
iajs-1023	36	125	u4=1.0178222086	u4=1.0178222086	ADJ
iajs-1023	36	126	,	,	PUNCT
iajs-1023	36	127	u5=1.0039651300	u5=1.0039651300	PROPN
iajs-1023	36	128	,	,	PUNCT
iajs-1023	36	129	u6=1.0051677590	u6=1.0051677590	PROPN
iajs-1023	36	130	,	,	PUNCT
iajs-1023	36	131	u7=1.0195489952	u7=1.0195489952	PROPN
iajs-1023	36	132	,	,	PUNCT
iajs-1023	36	133	u8=1.0462767757	u8=1.0462767757	NOUN
iajs-1023	36	134	,	,	PUNCT
iajs-1023	36	135	u9=1.0852176618	u9=1.0852176618	PROPN
iajs-1023	36	136	,	,	PUNCT
iajs-1023	36	137	u10=1.1367003013	u10=1.1367003013	PROPN
iajs-1023	36	138	.	.	PUNCT
iajs-1023	37	1	by	by	ADP
iajs-1023	37	2	using	use	VERB
iajs-1023	37	3	the	the	DET
iajs-1023	37	4	following	follow	VERB
iajs-1023	37	5	newton	newton	PROPN
iajs-1023	37	6	forward	forward	ADV
iajs-1023	37	7	formula[4	formula[4	PROPN
iajs-1023	37	8	]	]	X
iajs-1023	37	9	:	:	PUNCT
iajs-1023	37	10	n	n	CCONJ
iajs-1023	37	11	n	n	CCONJ
iajs-1023	37	12	n	n	ADV
iajs-1023	37	13	hn	hn	PROPN
iajs-1023	37	14	f	f	PROPN
iajs-1023	37	15	xxxxxxxx	xxxxxxxx	PROPN
iajs-1023	37	16	h	h	PROPN
iajs-1023	37	17	f	f	PROPN
iajs-1023	37	18	xxxx	xxxx	NOUN
iajs-1023	37	19	h	h	PROPN
iajs-1023	37	20	f	f	PROPN
iajs-1023	37	21	xxxfxf	xxxfxf	PROPN
iajs-1023	37	22	!	!	PUNCT
iajs-1023	37	23	)	)	PUNCT
iajs-1023	37	24	)	)	PUNCT
iajs-1023	37	25	.....	.....	PUNCT
iajs-1023	37	26	(	(	PUNCT
iajs-1023	37	27	)	)	PUNCT
iajs-1023	37	28	(	(	PUNCT
iajs-1023	37	29	)	)	PUNCT
iajs-1023	37	30	(	(	PUNCT
iajs-1023	37	31	(	(	PUNCT
iajs-1023	37	32	.	.	PUNCT
iajs-1023	37	33	.	.	PUNCT
iajs-1023	37	34	.	.	PUNCT
iajs-1023	37	35	!	!	PUNCT
iajs-1023	37	36	2	2	NUM
iajs-1023	37	37	)	)	PUNCT
iajs-1023	37	38	)	)	PUNCT
iajs-1023	37	39	(	(	PUNCT
iajs-1023	37	40	(	(	PUNCT
iajs-1023	37	41	)	)	PUNCT
iajs-1023	37	42	(	(	PUNCT
iajs-1023	37	43	)	)	PUNCT
iajs-1023	37	44	(	(	PUNCT
iajs-1023	37	45	)	)	PUNCT
iajs-1023	37	46	(	(	PUNCT
iajs-1023	37	47	0	0	NUM
iajs-1023	37	48	1210	1210	NUM
iajs-1023	37	49	2	2	NUM
iajs-1023	37	50	0	0	NUM
iajs-1023	37	51	2	2	NUM
iajs-1023	37	52	10	10	NUM
iajs-1023	37	53	0	0	NUM
iajs-1023	37	54	00	00	NUM
iajs-1023	37	55			PUNCT
iajs-1023	38	1			PROPN
iajs-1023	38	2			PUNCT
iajs-1023	38	3			PUNCT
iajs-1023	39	1			PROPN
iajs-1023	39	2			ADJ
iajs-1023	39	3			PRON
iajs-1023	39	4			NOUN
iajs-1023	39	5	we	we	PRON
iajs-1023	39	6	can	can	AUX
iajs-1023	39	7	find	find	VERB
iajs-1023	39	8	the	the	DET
iajs-1023	39	9	polynomial	polynomial	ADJ
iajs-1023	39	10	which	which	PRON
iajs-1023	39	11	is	be	AUX
iajs-1023	39	12	:	:	PUNCT
iajs-1023	39	13	f(x)=0.013214064	f(x)=0.013214064	NOUN
iajs-1023	39	14	x	x	PROPN
iajs-1023	39	15	10	10	NUM
iajs-1023	39	16	0.0766672228	0.0766672228	NUM
iajs-1023	39	17	x	x	SYM
iajs-1023	39	18	9	9	NUM
iajs-1023	39	19	+	+	NUM
iajs-1023	39	20	0.2415794909	0.2415794909	NUM
iajs-1023	39	21	x	x	SYM
iajs-1023	39	22	8	8	NUM
iajs-1023	39	23	0.6073832681	0.6073832681	NUM
iajs-1023	39	24	x	x	SYM
iajs-1023	39	25	7	7	NUM
iajs-1023	39	26	+	+	NUM
iajs-1023	39	27	1.3600009821	1.3600009821	NUM
iajs-1023	39	28	x6	x6	PROPN
iajs-1023	39	29	2.5771430663	2.5771430663	NUM
iajs-1023	39	30	x5	x5	NOUN
iajs-1023	39	31	+	+	CCONJ
iajs-1023	39	32	3.8357067640	3.8357067640	NUM
iajs-1023	39	33	x4	x4	NUM
iajs-1023	39	34	–	–	PUNCT
iajs-1023	39	35	4.0526880921	4.0526880921	NUM
iajs-1023	39	36	x3	x3	ADJ
iajs-1023	39	37	+	+	CCONJ
iajs-1023	39	38	3.3306605692	3.3306605692	NUM
iajs-1023	39	39	x2	x2	NOUN
iajs-1023	39	40	–	–	PUNCT
iajs-1023	39	41	1.6639099065	1.6639099065	NUM
iajs-1023	39	42	x	x	SYM
iajs-1023	39	43	+	+	NUM
iajs-1023	39	44	1.3333333333	1.3333333333	NUM
iajs-1023	39	45	.	.	PUNCT
iajs-1023	40	1	now	now	ADV
iajs-1023	40	2	we	we	PRON
iajs-1023	40	3	can	can	AUX
iajs-1023	40	4	obtain	obtain	VERB
iajs-1023	40	5	the	the	DET
iajs-1023	40	6	expected	expected	ADJ
iajs-1023	40	7	value[2,3	value[2,3	PROPN
iajs-1023	40	8	]	]	PUNCT
iajs-1023	40	9	and	and	CCONJ
iajs-1023	40	10	the	the	DET
iajs-1023	40	11	variance[2,3	variance[2,3	PROPN
iajs-1023	40	12	]	]	PUNCT
iajs-1023	40	13	,	,	PUNCT
iajs-1023	40	14			X
iajs-1023	40	15			ADP
iajs-1023	40	16			NUM
iajs-1023	40	17			NUM
iajs-1023	40	18	1	1	NUM
iajs-1023	40	19	0	0	NUM
iajs-1023	40	20	x	x	SYM
iajs-1023	40	21	0	0	NUM
iajs-1023	40	22	5260811871.0	5260811871.0	NUM
iajs-1023	40	23	x	x	SYM
iajs-1023	40	24	f(x	f(x	PROPN
iajs-1023	40	25	)	)	PUNCT
iajs-1023	40	26	dx)x(e	dx)x(e	PROPN
iajs-1023	40	27	f(x	f(x	PROPN
iajs-1023	40	28	)	)	PUNCT
iajs-1023	40	29	dx	dx	PROPN
iajs-1023	41	1	x)x(e	x)x(e	PROPN
iajs-1023	41	2	ihjpas	ihjpas	PROPN
iajs-1023	41	3	ibn	ibn	PROPN
iajs-1023	41	4	alhaitham	alhaitham	PROPN
iajs-1023	41	5	j.	j.	PROPN
iajs-1023	41	6	for	for	ADP
iajs-1023	41	7	pure	pure	ADJ
iajs-1023	41	8	&	&	CCONJ
iajs-1023	41	9	appl	appl	PROPN
iajs-1023	41	10	.	.	PUNCT
iajs-1023	42	1	sci	sci	PROPN
iajs-1023	42	2	.	.	PUNCT
iajs-1023	43	1	vol.23	vol.23	PROPN
iajs-1023	43	2	(	(	PUNCT
iajs-1023	43	3	2	2	NUM
iajs-1023	43	4	)	)	PUNCT
iajs-1023	43	5	2010	2010	NUM
iajs-1023	43	6	330.07516707	330.07516707	NUM
iajs-1023	43	7	)	)	PUNCT
iajs-1023	43	8	)	)	PUNCT
iajs-1023	44	1	x(e()x(e)x(v	x(e()x(e)x(v	PROPN
iajs-1023	44	2	88	88	NUM
iajs-1023	44	3	0.45192848	0.45192848	NUM
iajs-1023	44	4	dx	dx	PROPN
iajs-1023	44	5	f(x	f(x	PROPN
iajs-1023	44	6	)	)	PUNCT
iajs-1023	44	7	x)x(e	x)x(e	NOUN
iajs-1023	45	1	22	22	NUM
iajs-1023	45	2	1	1	NUM
iajs-1023	45	3	0	0	NUM
iajs-1023	45	4	22	22	NUM
iajs-1023	45	5			NOUN
iajs-1023	45	6			NUM
iajs-1023	45	7			SYM
iajs-1023	45	8	second	second	ADV
iajs-1023	45	9	,	,	PUNCT
iajs-1023	45	10	we	we	PRON
iajs-1023	45	11	will	will	AUX
iajs-1023	45	12	solve	solve	VERB
iajs-1023	45	13	the	the	DET
iajs-1023	45	14	integral	integral	ADJ
iajs-1023	45	15	equation	equation	NOUN
iajs-1023	45	16	(	(	PUNCT
iajs-1023	45	17	8)	8)	NUM
iajs-1023	45	18	by	by	ADP
iajs-1023	45	19	using	use	VERB
iajs-1023	45	20	simpson	simpson	PROPN
iajs-1023	45	21	’s	’s	PART
iajs-1023	45	22	rule	rule	NOUN
iajs-1023	45	23	.	.	PUNCT
iajs-1023	46	1	to	to	PART
iajs-1023	46	2	do	do	VERB
iajs-1023	46	3	this	this	PRON
iajs-1023	46	4	,	,	PUNCT
iajs-1023	46	5	we	we	PRON
iajs-1023	46	6	divide	divide	VERB
iajs-1023	46	7	the	the	DET
iajs-1023	46	8	interval	interval	NOUN
iajs-1023	46	9	of	of	ADP
iajs-1023	46	10	integration	integration	NOUN
iajs-1023	46	11	[	[	X
iajs-1023	46	12	0,1	0,1	X
iajs-1023	46	13	]	]	PUNCT
iajs-1023	46	14	into	into	ADP
iajs-1023	46	15	equal	equal	ADJ
iajs-1023	46	16	subintervals	subinterval	NOUN
iajs-1023	46	17	of	of	ADP
iajs-1023	46	18	width	width	ADJ
iajs-1023	46	19	10	10	NUM
iajs-1023	46	20	1	1	NUM
iajs-1023	46	21	10	10	NUM
iajs-1023	46	22	0	0	NUM
iajs-1023	46	23	-	-	SYM
iajs-1023	46	24	1	1	NUM
iajs-1023	46	25	t	t	NOUN
iajs-1023	46	26	where	where	SCONJ
iajs-1023	46	27	3	3	NUM
iajs-1023	46	28	t	t	NOUN
iajs-1023	46	29	h	h	NOUN
iajs-1023	46	30			NOUN
iajs-1023	46	31			PUNCT
iajs-1023	47	1			NOUN
iajs-1023	47	2	then	then	ADV
iajs-1023	47	3	to	to	PART
iajs-1023	47	4	use	use	VERB
iajs-1023	47	5	simpson	simpson	PROPN
iajs-1023	47	6	’s	’s	PART
iajs-1023	47	7	rule	rule	NOUN
iajs-1023	47	8	,	,	PUNCT
iajs-1023	47	9	we	we	PRON
iajs-1023	47	10	apply	apply	VERB
iajs-1023	47	11	equation(6	equation(6	NOUN
iajs-1023	47	12	)	)	PUNCT
iajs-1023	47	13	and	and	CCONJ
iajs-1023	47	14	we	we	PRON
iajs-1023	47	15	can	can	AUX
iajs-1023	47	16	write	write	VERB
iajs-1023	47	17	equation	equation	NOUN
iajs-1023	47	18	(	(	PUNCT
iajs-1023	47	19	6	6	NUM
iajs-1023	47	20	)	)	PUNCT
iajs-1023	47	21	in	in	ADP
iajs-1023	47	22	the	the	DET
iajs-1023	47	23	following	follow	VERB
iajs-1023	47	24	compact	compact	ADJ
iajs-1023	47	25	form	form	NOUN
iajs-1023	47	26	:	:	PUNCT
iajs-1023	47	27	:	:	PUNCT
iajs-1023	47	28	ij	ij	X
iajs-1023	47	29	)	)	PUNCT
iajs-1023	47	30	t	t	PROPN
iajs-1023	47	31	,	,	PUNCT
iajs-1023	47	32	x(kk	x(kk	NUM
iajs-1023	47	33	n1,2,	n1,2,	NUM
iajs-1023	47	34	...	...	PUNCT
iajs-1023	47	35	,i	,i	PUNCT
iajs-1023	48	1	]	]	PUNCT
iajs-1023	48	2	ukuk4	ukuk4	NOUN
iajs-1023	48	3	...	...	PUNCT
iajs-1023	48	4	uk2uk4uk[hfu	uk2uk4uk[hfu	PROPN
iajs-1023	48	5	fu	fu	PROPN
iajs-1023	49	1	jiij	jiij	PROPN
iajs-1023	49	2	jij1j1ij	jij1j1ij	PROPN
iajs-1023	49	3	22i11i00iii	22i11i00iii	NUM
iajs-1023	49	4	00	00	NUM
iajs-1023	50	1			NUM
iajs-1023	50	2			PROPN
iajs-1023	50	3			NOUN
iajs-1023	50	4			PROPN
iajs-1023	50	5			NUM
iajs-1023	50	6	…	…	PUNCT
iajs-1023	50	7	.......	.......	PUNCT
iajs-1023	50	8	(	(	PUNCT
iajs-1023	50	9	11	11	NUM
iajs-1023	50	10	)	)	PUNCT
iajs-1023	50	11	then	then	ADV
iajs-1023	50	12	the	the	DET
iajs-1023	50	13	equation	equation	NOUN
iajs-1023	50	14	(	(	PUNCT
iajs-1023	50	15	11	11	NUM
iajs-1023	50	16	)	)	PUNCT
iajs-1023	50	17	becomes	become	VERB
iajs-1023	50	18	:	:	PUNCT
iajs-1023	50	19	ij	ij	NOUN
iajs-1023	50	20	n1,2,	n1,2,	NOUN
iajs-1023	50	21	...	...	PUNCT
iajs-1023	50	22	,i	,i	PUNCT
iajs-1023	50	23	]	]	PUNCT
iajs-1023	50	24	ukuk4	ukuk4	VERB
iajs-1023	50	25	...	...	PUNCT
iajs-1023	51	1	uk2uk4uk[h	uk2uk4uk[h	PROPN
iajs-1023	51	2	)	)	PUNCT
iajs-1023	51	3	x2exp	x2exp	PROPN
iajs-1023	51	4	(	(	PUNCT
iajs-1023	51	5	)	)	PUNCT
iajs-1023	51	6	3	3	NUM
iajs-1023	51	7	4	4	NUM
iajs-1023	51	8	xx2(u	xx2(u	PROPN
iajs-1023	51	9	fu	fu	PROPN
iajs-1023	51	10	jij1j1ij	jij1j1ij	PROPN
iajs-1023	51	11	22i11i00iii	22i11i00iii	NUM
iajs-1023	51	12	2	2	NUM
iajs-1023	51	13	ii	ii	NOUN
iajs-1023	51	14	00	00	PROPN
iajs-1023	52	1			PROPN
iajs-1023	52	2			PUNCT
iajs-1023	52	3			PROPN
iajs-1023	52	4			PROPN
iajs-1023	52	5	.	.	PUNCT
iajs-1023	52	6	…	…	PUNCT
iajs-1023	52	7	.	.	NUM
iajs-1023	52	8	…	…	PUNCT
iajs-1023	52	9	..	..	PUNCT
iajs-1023	52	10	(12	(12	NUM
iajs-1023	52	11	)	)	PUNCT
iajs-1023	52	12	by	by	ADP
iajs-1023	52	13	evaluating	evaluate	VERB
iajs-1023	52	14	equation	equation	NOUN
iajs-1023	52	15	(	(	PUNCT
iajs-1023	52	16	12	12	NUM
iajs-1023	52	17	)	)	PUNCT
iajs-1023	52	18	at	at	ADP
iajs-1023	52	19	each	each	DET
iajs-1023	52	20	i=1,2,	i=1,2,	NOUN
iajs-1023	52	21	…	…	PUNCT
iajs-1023	52	22	,10	,10	PUNCT
iajs-1023	52	23	one	one	PRON
iajs-1023	52	24	can	can	AUX
iajs-1023	52	25	get	get	VERB
iajs-1023	52	26	the	the	DET
iajs-1023	52	27	following	follow	VERB
iajs-1023	52	28	values	value	NOUN
iajs-1023	52	29	:	:	PUNCT
iajs-1023	52	30	u0=1.3333333333	u0=1.3333333333	NOUN
iajs-1023	52	31	,	,	PUNCT
iajs-1023	52	32	u1=1.1943331389	u1=1.1943331389	PROPN
iajs-1023	52	33	,	,	PUNCT
iajs-1023	52	34	u2=1.1062630050	u2=1.1062630050	PROPN
iajs-1023	52	35	,	,	PUNCT
iajs-1023	52	36	u3=1.0477357372	u3=1.0477357372	PROPN
iajs-1023	52	37	,	,	PUNCT
iajs-1023	52	38	u4=1.0168932262	u4=1.0168932262	PROPN
iajs-1023	52	39	,	,	PUNCT
iajs-1023	52	40	u5=1.0011495203	u5=1.0011495203	NOUN
iajs-1023	52	41	,	,	PUNCT
iajs-1023	52	42	u6=1.0037745311	u6=1.0037745311	NOUN
iajs-1023	52	43	,	,	PUNCT
iajs-1023	52	44	u7=1.0162183017	u7=1.0162183017	PROPN
iajs-1023	52	45	,	,	PUNCT
iajs-1023	52	46	u8=1.0443627039	u8=1.0443627039	NOUN
iajs-1023	52	47	,	,	PUNCT
iajs-1023	52	48	u9=1.0812198620	u9=1.0812198620	PROPN
iajs-1023	52	49	,	,	PUNCT
iajs-1023	52	50	u10=1.1341828617	u10=1.1341828617	PROPN
iajs-1023	52	51	.	.	PUNCT
iajs-1023	53	1	by	by	ADP
iajs-1023	53	2	using	use	VERB
iajs-1023	53	3	newton	newton	PROPN
iajs-1023	53	4	forward	forward	ADV
iajs-1023	53	5	formula[4	formula[4	PROPN
iajs-1023	53	6	]	]	PUNCT
iajs-1023	53	7	,	,	PUNCT
iajs-1023	53	8	we	we	PRON
iajs-1023	53	9	can	can	AUX
iajs-1023	53	10	find	find	VERB
iajs-1023	53	11	the	the	DET
iajs-1023	53	12	polynomial	polynomial	ADJ
iajs-1023	53	13	which	which	PRON
iajs-1023	53	14	is	be	AUX
iajs-1023	53	15	:	:	PUNCT
iajs-1023	53	16	f(x)=	f(x)=	X
iajs-1023	53	17	2387.0379995	2387.0379995	NOUN
iajs-1023	53	18	x10	x10	NUM
iajs-1023	53	19	–	–	PUNCT
iajs-1023	53	20	11940.289032	11940.289032	NUM
iajs-1023	53	21	x9	x9	NOUN
iajs-1023	53	22	+	+	CCONJ
iajs-1023	53	23	25626.121937	25626.121937	NUM
iajs-1023	53	24	x8	x8	PROPN
iajs-1023	53	25	–	–	PUNCT
iajs-1023	53	26	30845.226184x7	30845.226184x7	NUM
iajs-1023	53	27	+	+	CCONJ
iajs-1023	53	28	22833.549096	22833.549096	NUM
iajs-1023	53	29	x	x	SYM
iajs-1023	53	30	6	6	NUM
iajs-1023	53	31	–	–	SYM
iajs-1023	53	32	10715.042130	10715.042130	NUM
iajs-1023	53	33	x	x	SYM
iajs-1023	53	34	5	5	NUM
iajs-1023	53	35	+	+	CCONJ
iajs-1023	53	36	3164.5486860	3164.5486860	NUM
iajs-1023	53	37	x	x	SYM
iajs-1023	53	38	4	4	X
iajs-1023	53	39	–	–	PUNCT
iajs-1023	53	40	563.76739209	563.76739209	NUM
iajs-1023	53	41	x	x	SYM
iajs-1023	53	42	3	3	NUM
iajs-1023	53	43	+	+	NOUN
iajs-1023	53	44	56.57019699	56.57019699	NUM
iajs-1023	53	45	x	x	SYM
iajs-1023	53	46	2	2	NUM
iajs-1023	53	47	–	–	PUNCT
iajs-1023	53	48	3.7023280574	3.7023280574	NUM
iajs-1023	53	49	x	x	SYM
iajs-1023	53	50	+1.333333333	+1.333333333	ADV
iajs-1023	53	51	.	.	PUNCT
iajs-1023	54	1	now	now	ADV
iajs-1023	54	2	we	we	PRON
iajs-1023	54	3	can	can	AUX
iajs-1023	54	4	obtain	obtain	VERB
iajs-1023	54	5	the	the	DET
iajs-1023	54	6	expected	expected	ADJ
iajs-1023	54	7	value[2,3	value[2,3	PROPN
iajs-1023	54	8	]	]	PUNCT
iajs-1023	54	9	and	and	CCONJ
iajs-1023	54	10	the	the	DET
iajs-1023	54	11	variance[2,3	variance[2,3	PROPN
iajs-1023	54	12	]	]	PUNCT
iajs-1023	54	13	,	,	PUNCT
iajs-1023	54	14	460.07569935	460.07569935	NUM
iajs-1023	54	15	(	(	PUNCT
iajs-1023	54	16	e(x	e(x	NUM
iajs-1023	54	17	)	)	PUNCT
iajs-1023	54	18	)	)	PUNCT
iajs-1023	54	19	)	)	PUNCT
iajs-1023	55	1	e(x	e(x	NUM
iajs-1023	55	2	)	)	PUNCT
iajs-1023	55	3	x(v	x(v	PROPN
iajs-1023	55	4	850.34985003	850.34985003	NUM
iajs-1023	55	5	dx	dx	PROPN
iajs-1023	55	6	f(x	f(x	PROPN
iajs-1023	55	7	)	)	PUNCT
iajs-1023	55	8	x	x	X
iajs-1023	55	9	)	)	PUNCT
iajs-1023	55	10	x(e	x(e	PROPN
iajs-1023	56	1	670.52359400	670.52359400	NUM
iajs-1023	56	2	dx	dx	PROPN
iajs-1023	56	3	f(x	f(x	PROPN
iajs-1023	56	4	)	)	PUNCT
iajs-1023	57	1	x)x(e	x)x(e	NOUN
iajs-1023	57	2	22	22	NUM
iajs-1023	57	3	1	1	NUM
iajs-1023	57	4	0	0	NUM
iajs-1023	57	5	22	22	NUM
iajs-1023	57	6	1	1	NUM
iajs-1023	57	7	0	0	NUM
iajs-1023	57	8			NUM
iajs-1023	57	9			NUM
iajs-1023	57	10			NUM
iajs-1023	57	11			X
iajs-1023	57	12			X
iajs-1023	58	1	to	to	PART
iajs-1023	58	2	find	find	VERB
iajs-1023	58	3	the	the	DET
iajs-1023	58	4	exact	exact	ADJ
iajs-1023	58	5	solution	solution	NOUN
iajs-1023	58	6	we	we	PRON
iajs-1023	58	7	must	must	AUX
iajs-1023	58	8	evaluate	evaluate	VERB
iajs-1023	58	9	integral	integral	ADJ
iajs-1023	58	10	equation	equation	NOUN
iajs-1023	58	11	(	(	PUNCT
iajs-1023	58	12	8)	8)	NUM
iajs-1023	58	13	at	at	ADP
iajs-1023	58	14	each	each	DET
iajs-1023	58	15	xi	xi	PROPN
iajs-1023	58	16	,	,	PUNCT
iajs-1023	58	17	i=0,1,	i=0,1,	NOUN
iajs-1023	58	18	…	…	PUNCT
iajs-1023	58	19	,10	,10	ADJ
iajs-1023	58	20	,	,	PUNCT
iajs-1023	58	21	then	then	ADV
iajs-1023	58	22	one	one	PRON
iajs-1023	58	23	can	can	AUX
iajs-1023	58	24	get	get	VERB
iajs-1023	58	25	following	follow	VERB
iajs-1023	58	26	values	value	NOUN
iajs-1023	58	27	:	:	PUNCT
iajs-1023	58	28	ihjpas	ihjpa	VERB
iajs-1023	58	29	ibn	ibn	PROPN
iajs-1023	58	30	alhaitham	alhaitham	PROPN
iajs-1023	58	31	j.	j.	PROPN
iajs-1023	58	32	for	for	ADP
iajs-1023	58	33	pure	pure	ADJ
iajs-1023	58	34	&	&	CCONJ
iajs-1023	58	35	appl	appl	PROPN
iajs-1023	58	36	.	.	PUNCT
iajs-1023	59	1	sci	sci	PROPN
iajs-1023	59	2	.	.	PUNCT
iajs-1023	60	1	vol.23	vol.23	PROPN
iajs-1023	60	2	(	(	PUNCT
iajs-1023	60	3	2	2	NUM
iajs-1023	60	4	)	)	PUNCT
iajs-1023	60	5	2010	2010	NUM
iajs-1023	60	6	u0=1.3333333333	u0=1.3333333333	NOUN
iajs-1023	60	7	,	,	PUNCT
iajs-1023	60	8	u1=1.1965553611	u1=1.1965553611	PROPN
iajs-1023	60	9	,	,	PUNCT
iajs-1023	60	10	u2=1.1053807815	u2=1.1053807815	PROPN
iajs-1023	60	11	,	,	PUNCT
iajs-1023	60	12	u3=1.0449205686	u3=1.0449205686	PROPN
iajs-1023	60	13	,	,	PUNCT
iajs-1023	60	14	u4=1.0062157851	u4=1.0062157851	PROPN
iajs-1023	60	15	,	,	PUNCT
iajs-1023	60	16	u5=0.9841623359	u5=0.9841623359	PROPN
iajs-1023	60	17	,	,	PUNCT
iajs-1023	60	18	u6=0.9763178627	u6=0.9763178627	PROPN
iajs-1023	60	19	,	,	PUNCT
iajs-1023	60	20	u7=0.9822767277	u7=0.9822767277	PRON
iajs-1023	60	21	,	,	PUNCT
iajs-1023	60	22	u8=1.0034686676	u8=1.0034686676	PROPN
iajs-1023	60	23	,	,	PUNCT
iajs-1023	60	24	u9=1.0433565263	u9=1.0433565263	PROPN
iajs-1023	60	25	,	,	PUNCT
iajs-1023	60	26	u10=1.1081311572	u10=1.1081311572	PROPN
iajs-1023	60	27	.	.	PUNCT
iajs-1023	61	1	by	by	ADP
iajs-1023	61	2	using	use	VERB
iajs-1023	61	3	newton	newton	PROPN
iajs-1023	61	4	forward	forward	ADV
iajs-1023	61	5	formula[4	formula[4	PROPN
iajs-1023	61	6	]	]	PUNCT
iajs-1023	61	7	,	,	PUNCT
iajs-1023	61	8	we	we	PRON
iajs-1023	61	9	can	can	AUX
iajs-1023	61	10	find	find	VERB
iajs-1023	61	11	the	the	DET
iajs-1023	61	12	polynomial	polynomial	ADJ
iajs-1023	61	13	which	which	PRON
iajs-1023	61	14	is	be	AUX
iajs-1023	61	15	:	:	PUNCT
iajs-1023	61	16	f(x	f(x	PROPN
iajs-1023	61	17	)	)	PUNCT
iajs-1023	62	1	=	=	NOUN
iajs-1023	62	2	-0.0078939518	-0.0078939518	NOUN
iajs-1023	62	3	x	x	SYM
iajs-1023	62	4	10	10	NUM
iajs-1023	62	5	–	–	SYM
iajs-1023	62	6	0.1017527499	0.1017527499	NUM
iajs-1023	62	7	x9	x9	NOUN
iajs-1023	62	8	+	+	CCONJ
iajs-1023	62	9	0.8462405483	0.8462405483	NUM
iajs-1023	62	10	x8	x8	NOUN
iajs-1023	62	11	–	–	PUNCT
iajs-1023	62	12	2.4760805677	2.4760805677	NUM
iajs-1023	62	13	x7	x7	NOUN
iajs-1023	62	14	+	+	CCONJ
iajs-1023	62	15	4.4612226593	4.4612226593	NUM
iajs-1023	62	16	x6	x6	PROPN
iajs-1023	62	17	-5.7691603786	-5.7691603786	NOUN
iajs-1023	62	18	x5	x5	PROPN
iajs-1023	62	19	+	+	CCONJ
iajs-1023	62	20	6.0710939102	6.0710939102	NUM
iajs-1023	62	21	x4	x4	PROPN
iajs-1023	62	22	–	–	PUNCT
iajs-1023	62	23	5.0167100778	5.0167100778	NUM
iajs-1023	62	24	x3	x3	NOUN
iajs-1023	62	25	+	+	CCONJ
iajs-1023	62	26	3.4343687856	3.4343687856	NUM
iajs-1023	62	27	x2	x2	NOUN
iajs-1023	62	28	–	–	PUNCT
iajs-1023	62	29	1.6665858973	1.6665858973	NUM
iajs-1023	62	30	x	x	SYM
iajs-1023	62	31	+	+	NUM
iajs-1023	62	32	1.3333333333	1.3333333333	NUM
iajs-1023	62	33	.	.	PUNCT
iajs-1023	63	1	now	now	ADV
iajs-1023	63	2	we	we	PRON
iajs-1023	63	3	can	can	AUX
iajs-1023	63	4	obtain	obtain	VERB
iajs-1023	63	5	the	the	DET
iajs-1023	63	6	expected	expected	ADJ
iajs-1023	63	7	value[2,3	value[2,3	PROPN
iajs-1023	63	8	]	]	PUNCT
iajs-1023	63	9	and	and	CCONJ
iajs-1023	63	10	the	the	DET
iajs-1023	63	11	variance[2,3	variance[2,3	PROPN
iajs-1023	63	12	]	]	PUNCT
iajs-1023	63	13	,	,	PUNCT
iajs-1023	63	14	650.07918682	650.07918682	ADJ
iajs-1023	63	15	(	(	PUNCT
iajs-1023	63	16	e(x	e(x	NUM
iajs-1023	63	17	)	)	PUNCT
iajs-1023	63	18	)	)	PUNCT
iajs-1023	63	19	)	)	PUNCT
iajs-1023	64	1	e(x	e(x	NUM
iajs-1023	64	2	)	)	PUNCT
iajs-1023	65	1	x(v	x(v	PROPN
iajs-1023	65	2	950.34063514	950.34063514	NUM
iajs-1023	65	3	dx	dx	PROPN
iajs-1023	65	4	f(x	f(x	PROPN
iajs-1023	65	5	)	)	PUNCT
iajs-1023	66	1	x	x	X
iajs-1023	66	2	)	)	PUNCT
iajs-1023	67	1	x(e	x(e	PROPN
iajs-1023	67	2	7650.5113201	7650.5113201	PROPN
iajs-1023	67	3	dx	dx	PROPN
iajs-1023	67	4	f(x	f(x	PROPN
iajs-1023	67	5	)	)	PUNCT
iajs-1023	67	6	x)x(e	x)x(e	NOUN
iajs-1023	67	7	22	22	NUM
iajs-1023	67	8	1	1	NUM
iajs-1023	67	9	0	0	NUM
iajs-1023	67	10	22	22	NUM
iajs-1023	67	11	1	1	NUM
iajs-1023	67	12	0	0	NUM
iajs-1023	67	13			NUM
iajs-1023	67	14			NUM
iajs-1023	67	15			NUM
iajs-1023	67	16			PUNCT
iajs-1023	67	17			PUNCT
iajs-1023	67	18	we	we	PRON
iajs-1023	67	19	will	will	AUX
iajs-1023	67	20	denote	denote	VERB
iajs-1023	67	21	the	the	DET
iajs-1023	67	22	solutions	solution	NOUN
iajs-1023	67	23	of	of	ADP
iajs-1023	67	24	trapezoidal	trapezoidal	NOUN
iajs-1023	67	25	,	,	PUNCT
iajs-1023	67	26	simpson	simpson	PROPN
iajs-1023	67	27	’s	’s	PART
iajs-1023	67	28	rule	rule	NOUN
iajs-1023	67	29	and	and	CCONJ
iajs-1023	67	30	exact	exact	ADJ
iajs-1023	67	31	by	by	ADP
iajs-1023	67	32	x	x	PROPN
iajs-1023	67	33	,	,	PUNCT
iajs-1023	67	34	y	y	PROPN
iajs-1023	67	35	and	and	CCONJ
iajs-1023	67	36	z	z	PROPN
iajs-1023	67	37	,	,	PUNCT
iajs-1023	67	38	respectively	respectively	ADV
iajs-1023	67	39	and	and	CCONJ
iajs-1023	67	40	there	there	ADV
iajs-1023	67	41	mean	mean	VERB
iajs-1023	67	42	by	by	ADP
iajs-1023	67	43	z	z	PROPN
iajs-1023	67	44	and	and	CCONJ
iajs-1023	67	45	y	y	PROPN
iajs-1023	67	46	,	,	PUNCT
iajs-1023	67	47	x	x	PUNCT
iajs-1023	67	48	respectively	respectively	ADV
iajs-1023	67	49	.	.	PUNCT
iajs-1023	68	1	to	to	PART
iajs-1023	68	2	compute	compute	VERB
iajs-1023	68	3	the	the	DET
iajs-1023	68	4	correlation	correlation	NOUN
iajs-1023	68	5	coefficient	coefficient	NOUN
iajs-1023	68	6	of	of	ADP
iajs-1023	68	7	these	these	DET
iajs-1023	68	8	solutions	solution	NOUN
iajs-1023	68	9	by	by	ADP
iajs-1023	68	10	using[2,3	using[2,3	PROPN
iajs-1023	68	11	]	]	PUNCT
iajs-1023	68	12	:	:	PUNCT
iajs-1023	68	13	50389999411042.0	50389999411042.0	NUM
iajs-1023	68	14	08081018352315.0	08081018352315.0	NUM
iajs-1023	68	15	45781018292338.0	45781018292338.0	NUM
iajs-1023	68	16	)	)	PUNCT
iajs-1023	68	17	yy()xx	yy()xx	PROPN
iajs-1023	68	18	(	(	PUNCT
iajs-1023	68	19	)	)	PUNCT
iajs-1023	68	20	yy)(xx	yy)(xx	PROPN
iajs-1023	68	21	(	(	PUNCT
iajs-1023	68	22	r	r	NOUN
iajs-1023	68	23	10	10	NUM
iajs-1023	68	24	0i	0i	NUM
iajs-1023	68	25	10	10	NUM
iajs-1023	68	26	0i	0i	NOUN
iajs-1023	68	27	2	2	NUM
iajs-1023	69	1	i	i	NOUN
iajs-1023	69	2	2	2	NUM
iajs-1023	69	3	i	i	PRON
iajs-1023	69	4	10	10	NUM
iajs-1023	69	5	0i	0i	PROPN
iajs-1023	69	6	ii	ii	PROPN
iajs-1023	69	7	xy	xy	PROPN
iajs-1023	69	8			NUM
iajs-1023	69	9			NUM
iajs-1023	69	10			PROPN
iajs-1023	69	11			NUM
iajs-1023	69	12			X
iajs-1023	69	13			X
iajs-1023	69	14			X
iajs-1023	70	1			NUM
iajs-1023	71	1			NUM
iajs-1023	72	1			NUM
iajs-1023	72	2	rxy	rxy	ADJ
iajs-1023	72	3	represents	represent	VERB
iajs-1023	72	4	the	the	DET
iajs-1023	72	5	correlation	correlation	NOUN
iajs-1023	72	6	coefficient	coefficient	NOUN
iajs-1023	72	7	of	of	ADP
iajs-1023	72	8	solution	solution	NOUN
iajs-1023	72	9	of	of	ADP
iajs-1023	72	10	trapezoidal	trapezoidal	ADJ
iajs-1023	72	11	and	and	CCONJ
iajs-1023	72	12	simpson	simpson	PROPN
iajs-1023	72	13	’s	’s	PART
iajs-1023	72	14	rule	rule	NOUN
iajs-1023	72	15	.	.	PUNCT
iajs-1023	73	1	28069912367115.0	28069912367115.0	NUM
iajs-1023	73	2	36481110460085.0	36481110460085.0	NUM
iajs-1023	73	3	30021100728803.0	30021100728803.0	NUM
iajs-1023	73	4	)	)	PUNCT
iajs-1023	73	5	zz()xx	zz()xx	NOUN
iajs-1023	73	6	(	(	PUNCT
iajs-1023	73	7	)	)	PUNCT
iajs-1023	73	8	zz)(xx	zz)(xx	NUM
iajs-1023	73	9	(	(	PUNCT
iajs-1023	73	10	r	r	NOUN
iajs-1023	73	11	10	10	NUM
iajs-1023	73	12	0i	0i	NUM
iajs-1023	73	13	10	10	NUM
iajs-1023	73	14	0i	0i	NOUN
iajs-1023	73	15	2	2	NUM
iajs-1023	73	16	i	i	NOUN
iajs-1023	73	17	2	2	NUM
iajs-1023	73	18	i	i	PRON
iajs-1023	73	19	10	10	NUM
iajs-1023	73	20	0i	0i	PROPN
iajs-1023	73	21	ii	ii	PROPN
iajs-1023	73	22	xz	xz	PROPN
iajs-1023	73	23			NUM
iajs-1023	73	24			NUM
iajs-1023	73	25			PROPN
iajs-1023	73	26			NUM
iajs-1023	73	27			X
iajs-1023	73	28			X
iajs-1023	73	29			X
iajs-1023	74	1			NUM
iajs-1023	75	1			PRON
iajs-1023	75	2			NOUN
iajs-1023	75	3	rxz	rxz	NOUN
iajs-1023	75	4	represents	represent	VERB
iajs-1023	75	5	the	the	DET
iajs-1023	75	6	correlation	correlation	NOUN
iajs-1023	75	7	coefficient	coefficient	NOUN
iajs-1023	75	8	of	of	ADP
iajs-1023	75	9	solution	solution	NOUN
iajs-1023	75	10	of	of	ADP
iajs-1023	75	11	trapezoidal	trapezoidal	ADJ
iajs-1023	75	12	and	and	CCONJ
iajs-1023	75	13	exact	exact	ADJ
iajs-1023	75	14	.	.	PUNCT
iajs-1023	76	1	7999919365744.0	7999919365744.0	NUM
iajs-1023	76	2	66901116255890.0	66901116255890.0	NUM
iajs-1023	76	3	93351107254991.0	93351107254991.0	NUM
iajs-1023	76	4	)	)	PUNCT
iajs-1023	76	5	zz()yy	zz()yy	PROPN
iajs-1023	76	6	(	(	PUNCT
iajs-1023	76	7	)	)	PUNCT
iajs-1023	76	8	zz)(yy	zz)(yy	NOUN
iajs-1023	76	9	(	(	PUNCT
iajs-1023	76	10	r	r	NOUN
iajs-1023	76	11	10	10	NUM
iajs-1023	76	12	0i	0i	NUM
iajs-1023	76	13	10	10	NUM
iajs-1023	76	14	0i	0i	NOUN
iajs-1023	76	15	2	2	NUM
iajs-1023	76	16	i	i	NOUN
iajs-1023	76	17	2	2	NUM
iajs-1023	76	18	i	i	PRON
iajs-1023	76	19	10	10	NUM
iajs-1023	76	20	0i	0i	NOUN
iajs-1023	76	21	i	i	PRON
iajs-1023	76	22	yz	yz	VERB
iajs-1023	76	23			NUM
iajs-1023	76	24			NUM
iajs-1023	76	25			PROPN
iajs-1023	76	26			NUM
iajs-1023	76	27			X
iajs-1023	77	1			X
iajs-1023	77	2			X
iajs-1023	78	1			NUM
iajs-1023	78	2			NUM
iajs-1023	79	1			PROPN
iajs-1023	79	2	ryz	ryz	PROPN
iajs-1023	79	3	represent	represent	VERB
iajs-1023	79	4	the	the	DET
iajs-1023	79	5	correlation	correlation	NOUN
iajs-1023	79	6	coefficient	coefficient	NOUN
iajs-1023	79	7	of	of	ADP
iajs-1023	79	8	solution	solution	NOUN
iajs-1023	79	9	of	of	ADP
iajs-1023	79	10	simpson	simpson	PROPN
iajs-1023	79	11	’s	’s	PART
iajs-1023	79	12	rule	rule	NOUN
iajs-1023	79	13	and	and	CCONJ
iajs-1023	79	14	exact	exact	ADJ
iajs-1023	79	15	.	.	PUNCT
iajs-1023	80	1	references	reference	NOUN
iajs-1023	80	2	1.kythe	1.kythe	NUM
iajs-1023	80	3	,	,	PUNCT
iajs-1023	80	4	p.k.and	p.k.and	PROPN
iajs-1023	80	5	puri	puri	PROPN
iajs-1023	80	6	,	,	PUNCT
iajs-1023	80	7	p.	p.	NOUN
iajs-1023	80	8	(	(	PUNCT
iajs-1023	80	9	2002	2002	NUM
iajs-1023	80	10	)	)	PUNCT
iajs-1023	80	11	,	,	PUNCT
iajs-1023	80	12	computational	computational	ADJ
iajs-1023	80	13	methods	method	NOUN
iajs-1023	80	14	of	of	ADP
iajs-1023	80	15	linear	linear	ADJ
iajs-1023	80	16	integral	integral	ADJ
iajs-1023	80	17	equations	equation	NOUN
iajs-1023	80	18	,	,	PUNCT
iajs-1023	80	19	springer	springer	NOUN
iajs-1023	80	20	-	-	PUNCT
iajs-1023	80	21	verlag	verlag	PROPN
iajs-1023	80	22	,	,	PUNCT
iajs-1023	80	23	new	new	PROPN
iajs-1023	80	24	york	york	PROPN
iajs-1023	80	25	.	.	PUNCT
iajs-1023	81	1	2.hogg	2.hogg	NUM
iajs-1023	81	2	robert	robert	X
iajs-1023	81	3	,	,	PUNCT
iajs-1023	81	4	v.	v.	PROPN
iajs-1023	81	5	and	and	CCONJ
iajs-1023	81	6	craig	craig	PROPN
iajs-1023	81	7	allen	allen	PROPN
iajs-1023	81	8	,	,	PUNCT
iajs-1023	81	9	t.	t.	PROPN
iajs-1023	81	10	(	(	PUNCT
iajs-1023	81	11	1978	1978	NUM
iajs-1023	81	12	)	)	PUNCT
iajs-1023	81	13	,	,	PUNCT
iajs-1023	81	14	introduction	introduction	NOUN
iajs-1023	81	15	to	to	ADP
iajs-1023	81	16	mathematical	mathematical	ADJ
iajs-1023	81	17	statistics	statistic	NOUN
iajs-1023	81	18	,	,	PUNCT
iajs-1023	81	19	macmillan	macmillan	PROPN
iajs-1023	81	20	publishing	publishing	PROPN
iajs-1023	81	21	co.	co.	PROPN
iajs-1023	81	22	,	,	PUNCT
iajs-1023	81	23	inc	inc	PROPN
iajs-1023	81	24	.	.	PROPN
iajs-1023	81	25	ihjpas	ihjpa	VERB
iajs-1023	81	26	ibn	ibn	PROPN
iajs-1023	81	27	alhaitham	alhaitham	PROPN
iajs-1023	81	28	j.	j.	PROPN
iajs-1023	81	29	for	for	ADP
iajs-1023	81	30	pure	pure	ADJ
iajs-1023	81	31	&	&	CCONJ
iajs-1023	81	32	appl	appl	PROPN
iajs-1023	81	33	.	.	PUNCT
iajs-1023	82	1	sci	sci	PROPN
iajs-1023	82	2	.	.	PUNCT
iajs-1023	83	1	vol.23	vol.23	PROPN
iajs-1023	83	2	(	(	PUNCT
iajs-1023	83	3	2	2	NUM
iajs-1023	83	4	)	)	PUNCT
iajs-1023	83	5	2010	2010	NUM
iajs-1023	83	6	3.neter	3.neter	NUM
iajs-1023	83	7	,	,	PUNCT
iajs-1023	83	8	j.	j.	PROPN
iajs-1023	83	9	kunter	kunter	PROPN
iajs-1023	83	10	,	,	PUNCT
iajs-1023	83	11	m.	m.	NOUN
iajs-1023	83	12	h.	h.	PROPN
iajs-1023	83	13	nachtsheim	nachtsheim	PROPN
iajs-1023	83	14	,	,	PUNCT
iajs-1023	83	15	c.	c.	PROPN
iajs-1023	83	16	j.	j.	PROPN
iajs-1023	83	17	and	and	CCONJ
iajs-1023	83	18	wasserman	wasserman	PROPN
iajs-1023	83	19	,	,	PUNCT
iajs-1023	83	20	w.	w.	PROPN
iajs-1023	83	21	(	(	PUNCT
iajs-1023	83	22	1996	1996	NUM
iajs-1023	83	23	)	)	PUNCT
iajs-1023	83	24	,	,	PUNCT
iajs-1023	83	25	applied	apply	VERB
iajs-1023	83	26	linear	linear	ADJ
iajs-1023	83	27	statistical	statistical	ADJ
iajs-1023	83	28	models	model	NOUN
iajs-1023	83	29	,	,	PUNCT
iajs-1023	83	30	the	the	DET
iajs-1023	83	31	mcgraw	mcgraw	PROPN
iajs-1023	83	32	-	-	PUNCT
iajs-1023	83	33	hill	hill	NOUN
iajs-1023	83	34	companies	company	NOUN
iajs-1023	83	35	,	,	PUNCT
iajs-1023	83	36	inc	inc	PROPN
iajs-1023	83	37	.	.	PROPN
iajs-1023	83	38	4.burden	4.burden	NUM
iajs-1023	83	39	,	,	PUNCT
iajs-1023	83	40	r.l	r.l	PROPN
iajs-1023	83	41	.	.	PROPN
iajs-1023	83	42	and	and	CCONJ
iajs-1023	83	43	faires	faire	NOUN
iajs-1023	83	44	,	,	PUNCT
iajs-1023	83	45	j.d	j.d	PROPN
iajs-1023	83	46	.	.	PROPN
iajs-1023	83	47	(	(	PUNCT
iajs-1023	83	48	2001	2001	NUM
iajs-1023	83	49	)	)	PUNCT
iajs-1023	83	50	,	,	PUNCT
iajs-1023	83	51	numerical	numerical	ADJ
iajs-1023	83	52	analysis	analysis	NOUN
iajs-1023	83	53	"	"	PUNCT
iajs-1023	83	54	seventh	seventh	ADJ
iajs-1023	83	55	edition	edition	NOUN
iajs-1023	83	56	,	,	PUNCT
iajs-1023	83	57	an	an	DET
iajs-1023	83	58	international	international	ADJ
iajs-1023	83	59	publishing	publish	VERB
iajs-1023	83	60	company	company	NOUN
iajs-1023	83	61	(	(	PUNCT
iajs-1023	83	62	itp	itp	PROPN
iajs-1023	83	63	)	)	PUNCT
iajs-1023	83	64	.	.	PUNCT
iajs-1023	83	65	table	table	NOUN
iajs-1023	83	66	:(	:(	NOUN
iajs-1023	83	67	1	1	NUM
iajs-1023	83	68	)	)	PUNCT
iajs-1023	83	69	represents	represent	VERB
iajs-1023	83	70	the	the	DET
iajs-1023	83	71	exact	exact	NOUN
iajs-1023	83	72	and	and	CCONJ
iajs-1023	83	73	the	the	DET
iajs-1023	83	74	numerical	numerical	ADJ
iajs-1023	83	75	solution	solution	NOUN
iajs-1023	83	76	of	of	ADP
iajs-1023	83	77	volterra	volterra	PROPN
iajs-1023	83	78	integral	integral	ADJ
iajs-1023	83	79	equation(3	equation(3	PROPN
iajs-1023	83	80	)	)	PUNCT
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iajs-1023	84	11	0	0	NUM
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iajs-1023	84	14	1.3333333333	1.3333333333	NUM
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iajs-1023	84	18	1.1943331389	1.1943331389	NUM
iajs-1023	84	19	1.1965553611	1.1965553611	NUM
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iajs-1023	85	2	االحصاءات	االحصاءات	PRON
iajs-1023	85	3	لحلول	لحلول	PROPN
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iajs-1023	85	5	فولتیرا	فولتیرا	PROPN
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iajs-1023	85	9	عبد	عبد	PROPN
iajs-1023	85	10	الكاظم	الكاظم	PROPN
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iajs-1023	86	5	التربیة	التربیة	NOUN
iajs-1023	86	6	ابن	ابن	PROPN
iajs-1023	86	7	الهیثم	الهیثم	PROPN
iajs-1023	86	8	،	،	PROPN
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iajs-1023	86	13	فولتیرا	فولتیرا	PROPN
iajs-1023	86	14	الخطیة	الخطیة	VERB
iajs-1023	86	15	التكاملیة	التكاملیة	VERB
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