id	sid	tid	token	lemma	pos
iajs-707	1	1	مجلة	مجلة	VERB
iajs-707	1	2	إبن	إبن	VERB
iajs-707	1	3	الھیثم	الھیثم	NOUN
iajs-707	1	4	للعلوم	للعلوم	NOUN
iajs-707	1	5	الصرفة	الصرفة	NOUN
iajs-707	1	6	و	و	PRON
iajs-707	1	7	التطبیقیة	التطبیقیة	PROPN
iajs-707	1	8	2012	2012	NUM
iajs-707	1	9	السنة	السنة	NOUN
iajs-707	1	10	25	25	NUM
iajs-707	1	11	المجلد	المجلد	NOUN
iajs-707	1	12	1	1	NUM
iajs-707	1	13	العدد	العدد	PROPN
iajs-707	1	14	ibn	ibn	PROPN
iajs-707	1	15	al	al	PROPN
iajs-707	1	16	-	-	PUNCT
iajs-707	1	17	haitham	haitham	PROPN
iajs-707	1	18	journal	journal	PROPN
iajs-707	1	19	for	for	ADP
iajs-707	1	20	pure	pure	ADJ
iajs-707	1	21	and	and	CCONJ
iajs-707	1	22	applied	apply	VERB
iajs-707	1	23	science	science	NOUN
iajs-707	1	24	no	no	NOUN
iajs-707	1	25	.	.	NOUN
iajs-707	1	26	1	1	NUM
iajs-707	1	27	vol	vol	NOUN
iajs-707	1	28	.	.	PUNCT
iajs-707	2	1	25	25	NUM
iajs-707	2	2	year	year	NOUN
iajs-707	2	3	2012	2012	NUM
iajs-707	2	4	solution	solution	NOUN
iajs-707	2	5	of	of	ADP
iajs-707	2	6	some	some	DET
iajs-707	2	7	application	application	NOUN
iajs-707	2	8	of	of	ADP
iajs-707	2	9	system	system	NOUN
iajs-707	2	10	of	of	ADP
iajs-707	2	11	ordinary	ordinary	ADJ
iajs-707	2	12	initial	initial	ADJ
iajs-707	2	13	value	value	NOUN
iajs-707	2	14	problems	problem	NOUN
iajs-707	2	15	using	use	VERB
iajs-707	2	16	osculatory	osculatory	NOUN
iajs-707	2	17	interpolation	interpolation	NOUN
iajs-707	2	18	technique	technique	NOUN
iajs-707	2	19	k.	k.	PROPN
iajs-707	2	20	m.	m.	PROPN
iajs-707	2	21	m.	m.	PROPN
iajs-707	2	22	al	al	PROPN
iajs-707	2	23	-	-	PUNCT
iajs-707	2	24	abrahemee	abrahemee	PROPN
iajs-707	2	25	department	department	NOUN
iajs-707	2	26	of	of	ADP
iajs-707	2	27	mathematics	mathematics	PROPN
iajs-707	2	28	,	,	PUNCT
iajs-707	2	29	college	college	NOUN
iajs-707	2	30	of	of	ADP
iajs-707	2	31	education	education	NOUN
iajs-707	2	32	,	,	PUNCT
iajs-707	2	33	university	university	NOUN
iajs-707	2	34	of	of	ADP
iajs-707	2	35	al	al	PROPN
iajs-707	2	36	qadysea	qadysea	PROPN
iajs-707	2	37	.	.	PUNCT
iajs-707	3	1	received	receive	VERB
iajs-707	3	2	in	in	ADP
iajs-707	3	3	:	:	PUNCT
iajs-707	3	4	25	25	NUM
iajs-707	3	5	may	may	PROPN
iajs-707	3	6	2011	2011	NUM
iajs-707	3	7	accepted	accept	VERB
iajs-707	3	8	in	in	ADP
iajs-707	3	9	:	:	PUNCT
iajs-707	3	10	7	7	NUM
iajs-707	3	11	december	december	PROPN
iajs-707	3	12	2011	2011	NUM
iajs-707	3	13	abstract	abstract	NOUN
iajs-707	3	14	the	the	DET
iajs-707	3	15	aim	aim	NOUN
iajs-707	3	16	of	of	ADP
iajs-707	3	17	this	this	DET
iajs-707	3	18	paper	paper	NOUN
iajs-707	3	19	is	be	AUX
iajs-707	3	20	to	to	PART
iajs-707	3	21	find	find	VERB
iajs-707	3	22	a	a	DET
iajs-707	3	23	new	new	ADJ
iajs-707	3	24	method	method	NOUN
iajs-707	3	25	for	for	ADP
iajs-707	3	26	solving	solve	VERB
iajs-707	3	27	a	a	DET
iajs-707	3	28	system	system	NOUN
iajs-707	3	29	of	of	ADP
iajs-707	3	30	linear	linear	ADJ
iajs-707	3	31	initial	initial	ADJ
iajs-707	3	32	value	value	NOUN
iajs-707	3	33	problems	problem	NOUN
iajs-707	3	34	of	of	ADP
iajs-707	3	35	ordinary	ordinary	ADJ
iajs-707	3	36	differential	differential	ADJ
iajs-707	3	37	equation	equation	NOUN
iajs-707	3	38	using	use	VERB
iajs-707	3	39	approximation	approximation	NOUN
iajs-707	3	40	technique	technique	NOUN
iajs-707	3	41	by	by	ADP
iajs-707	3	42	two	two	NUM
iajs-707	3	43	-	-	PUNCT
iajs-707	3	44	point	point	NOUN
iajs-707	3	45	osculatory	osculatory	NOUN
iajs-707	3	46	interpolation	interpolation	NOUN
iajs-707	3	47	with	with	ADP
iajs-707	3	48	the	the	DET
iajs-707	3	49	fit	fit	ADJ
iajs-707	3	50	equal	equal	ADJ
iajs-707	3	51	numbers	number	NOUN
iajs-707	3	52	of	of	ADP
iajs-707	3	53	derivatives	derivative	NOUN
iajs-707	3	54	at	at	ADP
iajs-707	3	55	the	the	DET
iajs-707	3	56	end	end	NOUN
iajs-707	3	57	points	point	NOUN
iajs-707	3	58	of	of	ADP
iajs-707	3	59	an	an	DET
iajs-707	3	60	interval	interval	NOUN
iajs-707	3	61	[	[	X
iajs-707	3	62	0	0	NUM
iajs-707	3	63	,	,	PUNCT
iajs-707	3	64	1	1	NUM
iajs-707	3	65	]	]	PUNCT
iajs-707	3	66	and	and	CCONJ
iajs-707	3	67	compared	compare	VERB
iajs-707	3	68	the	the	DET
iajs-707	3	69	results	result	NOUN
iajs-707	3	70	with	with	ADP
iajs-707	3	71	conventional	conventional	ADJ
iajs-707	3	72	methods	method	NOUN
iajs-707	3	73	and	and	CCONJ
iajs-707	3	74	is	be	AUX
iajs-707	3	75	shown	show	VERB
iajs-707	3	76	to	to	PART
iajs-707	3	77	be	be	AUX
iajs-707	3	78	that	that	PRON
iajs-707	3	79	seems	seem	VERB
iajs-707	3	80	to	to	PART
iajs-707	3	81	converge	converge	VERB
iajs-707	3	82	faster	fast	ADV
iajs-707	3	83	and	and	CCONJ
iajs-707	3	84	more	more	ADV
iajs-707	3	85	accurately	accurately	ADV
iajs-707	3	86	than	than	ADP
iajs-707	3	87	the	the	DET
iajs-707	3	88	conventional	conventional	ADJ
iajs-707	3	89	methods	method	NOUN
iajs-707	3	90	.	.	PUNCT
iajs-707	4	1	key	key	ADJ
iajs-707	4	2	words	word	NOUN
iajs-707	4	3	:	:	PUNCT
iajs-707	4	4	initial	initial	ADJ
iajs-707	4	5	value	value	NOUN
iajs-707	4	6	problems	problem	NOUN
iajs-707	4	7	,	,	PUNCT
iajs-707	4	8	approximation	approximation	NOUN
iajs-707	4	9	,	,	PUNCT
iajs-707	4	10	osculatory	osculatory	NOUN
iajs-707	4	11	interpolation	interpolation	NOUN
iajs-707	4	12	1introduction	1introduction	NUM
iajs-707	4	13	systems	system	NOUN
iajs-707	4	14	of	of	ADP
iajs-707	4	15	ordinary	ordinary	ADJ
iajs-707	4	16	differential	differential	ADJ
iajs-707	4	17	equations	equation	NOUN
iajs-707	4	18	(	(	PUNCT
iajs-707	4	19	odes	ode	NOUN
iajs-707	4	20	)	)	PUNCT
iajs-707	4	21	arise	arise	NOUN
iajs-707	4	22	in	in	ADP
iajs-707	4	23	mathematical	mathematical	ADJ
iajs-707	4	24	models	model	NOUN
iajs-707	4	25	throughout	throughout	ADP
iajs-707	4	26	science	science	NOUN
iajs-707	4	27	and	and	CCONJ
iajs-707	4	28	engineering	engineering	NOUN
iajs-707	4	29	.	.	PUNCT
iajs-707	5	1	when	when	SCONJ
iajs-707	5	2	an	an	DET
iajs-707	5	3	explicit	explicit	ADJ
iajs-707	5	4	condition	condition	NOUN
iajs-707	5	5	(	(	PUNCT
iajs-707	5	6	or	or	CCONJ
iajs-707	5	7	conditions	condition	NOUN
iajs-707	5	8	)	)	PUNCT
iajs-707	5	9	that	that	SCONJ
iajs-707	5	10	a	a	DET
iajs-707	5	11	solution	solution	NOUN
iajs-707	5	12	must	must	AUX
iajs-707	5	13	satisfy	satisfy	VERB
iajs-707	5	14	is	be	AUX
iajs-707	5	15	specified	specify	VERB
iajs-707	5	16	at	at	ADP
iajs-707	5	17	one	one	NUM
iajs-707	5	18	value	value	NOUN
iajs-707	5	19	of	of	ADP
iajs-707	5	20	the	the	DET
iajs-707	5	21	independent	independent	ADJ
iajs-707	5	22	variable	variable	NOUN
iajs-707	5	23	,	,	PUNCT
iajs-707	5	24	usually	usually	ADV
iajs-707	5	25	its	its	PRON
iajs-707	5	26	lower	low	ADJ
iajs-707	5	27	bound	bind	VERB
iajs-707	5	28	,	,	PUNCT
iajs-707	5	29	this	this	PRON
iajs-707	5	30	is	be	AUX
iajs-707	5	31	referred	refer	VERB
iajs-707	5	32	to	to	ADP
iajs-707	5	33	as	as	ADP
iajs-707	5	34	an	an	DET
iajs-707	5	35	initial	initial	ADJ
iajs-707	5	36	value	value	NOUN
iajs-707	5	37	problem	problem	NOUN
iajs-707	5	38	(	(	PUNCT
iajs-707	5	39	ivp	ivp	NOUN
iajs-707	5	40	)	)	PUNCT
iajs-707	5	41	and	and	CCONJ
iajs-707	5	42	a	a	DET
iajs-707	5	43	system	system	NOUN
iajs-707	5	44	of	of	ADP
iajs-707	5	45	ordinary	ordinary	ADJ
iajs-707	5	46	differential	differential	ADJ
iajs-707	5	47	equations	equation	NOUN
iajs-707	5	48	is	be	AUX
iajs-707	5	49	a	a	DET
iajs-707	5	50	system	system	NOUN
iajs-707	5	51	of	of	ADP
iajs-707	5	52	equations	equation	NOUN
iajs-707	5	53	relating	relate	VERB
iajs-707	5	54	several	several	ADJ
iajs-707	5	55	unknown	unknown	ADJ
iajs-707	5	56	functions	function	NOUN
iajs-707	5	57	yi(x	yi(x	NOUN
iajs-707	5	58	)	)	PUNCT
iajs-707	5	59	of	of	ADP
iajs-707	5	60	an	an	DET
iajs-707	5	61	independent	independent	ADJ
iajs-707	5	62	variable	variable	NOUN
iajs-707	5	63	x	x	NOUN
iajs-707	5	64	,	,	PUNCT
iajs-707	5	65	some	some	PRON
iajs-707	5	66	of	of	ADP
iajs-707	5	67	the	the	DET
iajs-707	5	68	derivatives	derivative	NOUN
iajs-707	5	69	of	of	ADP
iajs-707	5	70	the	the	DET
iajs-707	5	71	yi(x	yi(x	NOUN
iajs-707	5	72	)	)	PUNCT
iajs-707	5	73	,	,	PUNCT
iajs-707	5	74	and	and	CCONJ
iajs-707	6	1	possibly	possibly	ADV
iajs-707	6	2	x	x	X
iajs-707	6	3	itself	itself	PRON
iajs-707	6	4	.	.	PUNCT
iajs-707	7	1	[	[	PUNCT
iajs-707	7	2	1	1	X
iajs-707	7	3	]	]	PUNCT
iajs-707	7	4	.initial	.initial	ADJ
iajs-707	7	5	-	-	PUNCT
iajs-707	7	6	value	value	NOUN
iajs-707	7	7	problems	problem	NOUN
iajs-707	7	8	for	for	ADP
iajs-707	7	9	systems	system	NOUN
iajs-707	7	10	of	of	ADP
iajs-707	7	11	differential	differential	ADJ
iajs-707	7	12	equations	equation	NOUN
iajs-707	7	13	permeate	permeate	VERB
iajs-707	7	14	many	many	ADJ
iajs-707	7	15	areas	area	NOUN
iajs-707	7	16	of	of	ADP
iajs-707	7	17	mathematics	mathematic	NOUN
iajs-707	7	18	:	:	PUNCT
iajs-707	7	19	such	such	ADJ
iajs-707	7	20	problems	problem	NOUN
iajs-707	7	21	arise	arise	VERB
iajs-707	7	22	naturally	naturally	ADV
iajs-707	7	23	in	in	ADP
iajs-707	7	24	modelling	model	VERB
iajs-707	7	25	the	the	DET
iajs-707	7	26	evolution	evolution	NOUN
iajs-707	7	27	of	of	ADP
iajs-707	7	28	dynamical	dynamical	ADJ
iajs-707	7	29	processes	process	NOUN
iajs-707	7	30	in	in	ADP
iajs-707	7	31	economics	economic	NOUN
iajs-707	7	32	,	,	PUNCT
iajs-707	7	33	engineering	engineering	NOUN
iajs-707	7	34	,	,	PUNCT
iajs-707	7	35	and	and	CCONJ
iajs-707	7	36	the	the	DET
iajs-707	7	37	physical	physical	ADJ
iajs-707	7	38	,	,	PUNCT
iajs-707	7	39	biological	biological	ADJ
iajs-707	7	40	sciences	science	NOUN
iajs-707	8	1	[	[	X
iajs-707	8	2	2	2	NUM
iajs-707	8	3	]	]	PUNCT
iajs-707	8	4	.	.	PUNCT
iajs-707	9	1	in	in	ADP
iajs-707	9	2	this	this	DET
iajs-707	9	3	paper	paper	NOUN
iajs-707	9	4	we	we	PRON
iajs-707	9	5	introduce	introduce	VERB
iajs-707	9	6	reactor	reactor	NOUN
iajs-707	9	7	problem	problem	NOUN
iajs-707	9	8	which	which	PRON
iajs-707	9	9	introduced	introduce	VERB
iajs-707	9	10	in	in	ADP
iajs-707	9	11	[	[	X
iajs-707	9	12	3	3	NUM
iajs-707	9	13	]	]	X
iajs-707	9	14	kehoe	kehoe	PROPN
iajs-707	9	15	and	and	CCONJ
iajs-707	9	16	butt	butt	PROPN
iajs-707	9	17	have	have	AUX
iajs-707	9	18	studied	study	VERB
iajs-707	9	19	the	the	DET
iajs-707	9	20	kinetics	kinetic	NOUN
iajs-707	9	21	of	of	ADP
iajs-707	9	22	benzene	benzene	NOUN
iajs-707	9	23	hydrogenation	hydrogenation	NOUN
iajs-707	9	24	on	on	ADP
iajs-707	9	25	asupported	asupporte	VERB
iajs-707	9	26	ni	ni	PROPN
iajs-707	9	27	/	/	SYM
iajs-707	9	28	kieselguhr	kieselguhr	NOUN
iajs-707	9	29	catalyst	catalyst	NOUN
iajs-707	9	30	.	.	PUNCT
iajs-707	10	1	in	in	ADP
iajs-707	10	2	the	the	DET
iajs-707	10	3	presence	presence	NOUN
iajs-707	10	4	of	of	ADP
iajs-707	10	5	a	a	DET
iajs-707	10	6	large	large	ADJ
iajs-707	10	7	excess	excess	NOUN
iajs-707	10	8	of	of	ADP
iajs-707	10	9	hydrogen	hydrogen	NOUN
iajs-707	10	10	,	,	PUNCT
iajs-707	10	11	the	the	DET
iajs-707	10	12	reaction	reaction	NOUN
iajs-707	10	13	is	be	AUX
iajs-707	10	14	pseudo	pseudo	NOUN
iajs-707	10	15	-	-	ADJ
iajs-707	10	16	first	first	ADJ
iajs-707	10	17	-	-	PUNCT
iajs-707	10	18	order	order	NOUN
iajs-707	10	19	at	at	ADP
iajs-707	10	20	temperatures	temperature	NOUN
iajs-707	10	21	below	below	ADP
iajs-707	10	22	200	200	NUM
iajs-707	10	23	°	°	NOUN
iajs-707	10	24	c	c	NOUN
iajs-707	10	25	with	with	ADP
iajs-707	10	26	the	the	DET
iajs-707	10	27	rate	rate	NOUN
iajs-707	10	28	given	give	VERB
iajs-707	10	29	by	by	ADP
iajs-707	10	30	-r=	-r=	PROPN
iajs-707	10	31	ph2k0k0	ph2k0k0	PROPN
iajs-707	10	32	t	t	NOUN
iajs-707	10	33	exp	exp	NOUN
iajs-707	10	34	[	[	PUNCT
iajs-707	10	35	(	(	PUNCT
iajs-707	10	36	-q	-q	NOUN
iajs-707	10	37	-	-	NOUN
iajs-707	10	38	ea)/rgt	ea)/rgt	PROPN
iajs-707	10	39	)	)	PUNCT
iajs-707	10	40	]	]	PUNCT
iajs-707	11	1	cb	cb	PROPN
iajs-707	11	2	mol	mol	PROPN
iajs-707	11	3	/	/	SYM
iajs-707	11	4	(	(	PUNCT
iajs-707	11	5	g	g	PROPN
iajs-707	11	6	catalyst	catalyst	NOUN
iajs-707	11	7	s	s	NOUN
iajs-707	11	8	)	)	PUNCT
iajs-707	11	9	where	where	SCONJ
iajs-707	11	10	rg	rg	NOUN
iajs-707	11	11	=	=	PUNCT
iajs-707	11	12	gas	gas	NOUN
iajs-707	11	13	constant	constant	ADJ
iajs-707	11	14	,	,	PUNCT
iajs-707	11	15	1.987	1.987	NUM
iajs-707	11	16	cal/(mole'k	cal/(mole'k	NOUN
iajs-707	11	17	)	)	PUNCT
iajs-707	11	18	q	q	PROPN
iajs-707	11	19	ea	ea	NOUN
iajs-707	11	20	=	=	SYM
iajs-707	11	21	2700	2700	NUM
iajs-707	11	22	cal	cal	NOUN
iajs-707	11	23	/	/	SYM
iajs-707	11	24	mole	mole	NOUN
iajs-707	11	25	p	p	NOUN
iajs-707	11	26	h2	h2	NOUN
iajs-707	11	27	=	=	PUNCT
iajs-707	11	28	hydrogen	hydrogen	NOUN
iajs-707	11	29	part	part	NOUN
iajs-707	11	30	ial	ial	ADJ
iajs-707	11	31	pressure	pressure	NOUN
iajs-707	11	32	(	(	PUNCT
iajs-707	11	33	torr	torr	NOUN
iajs-707	11	34	)	)	PUNCT
iajs-707	11	35	مجلة	مجلة	NOUN
iajs-707	11	36	إبن	إبن	VERB
iajs-707	11	37	الھیثم	الھیثم	NOUN
iajs-707	11	38	للعلوم	للعلوم	NOUN
iajs-707	11	39	الصرفة	الصرفة	NOUN
iajs-707	11	40	و	و	PRON
iajs-707	11	41	التطبیقیة	التطبیقیة	PROPN
iajs-707	11	42	2012	2012	NUM
iajs-707	11	43	السنة	السنة	NOUN
iajs-707	12	1	25	25	NUM
iajs-707	12	2	المجلد	المجلد	NOUN
iajs-707	12	3	1	1	NUM
iajs-707	12	4	العدد	العدد	PROPN
iajs-707	12	5	ibn	ibn	PROPN
iajs-707	12	6	al	al	PROPN
iajs-707	12	7	-	-	PUNCT
iajs-707	12	8	haitham	haitham	PROPN
iajs-707	12	9	journal	journal	PROPN
iajs-707	12	10	for	for	ADP
iajs-707	12	11	pure	pure	ADJ
iajs-707	12	12	and	and	CCONJ
iajs-707	12	13	applied	apply	VERB
iajs-707	12	14	science	science	NOUN
iajs-707	12	15	no	no	NOUN
iajs-707	12	16	.	.	NOUN
iajs-707	12	17	1	1	NUM
iajs-707	12	18	vol	vol	NOUN
iajs-707	12	19	.	.	PUNCT
iajs-707	13	1	25	25	NUM
iajs-707	13	2	year	year	NOUN
iajs-707	13	3	2012	2012	NUM
iajs-707	13	4	ko	ko	PROPN
iajs-707	13	5	=	=	PROPN
iajs-707	13	6	4.22	4.22	NUM
iajs-707	13	7	mole/(gcat·s·torr	mole/(gcat·s·torr	PROPN
iajs-707	13	8	)	)	PUNCT
iajs-707	13	9	ko	ko	NOUN
iajs-707	14	1	=	=	PUNCT
iajs-707	14	2	2.63	2.63	NUM
iajs-707	14	3	x	x	SYM
iajs-707	14	4	10	10	NUM
iajs-707	14	5	-	-	SYM
iajs-707	14	6	6	6	NUM
iajs-707	14	7	cm3/(mole'k	cm3/(mole'k	PROPN
iajs-707	14	8	)	)	PUNCT
iajs-707	14	9	t	t	NOUN
iajs-707	14	10	=	=	SYM
iajs-707	15	1	absolute	absolute	ADJ
iajs-707	15	2	temperature	temperature	NOUN
iajs-707	15	3	(	(	PUNCT
iajs-707	15	4	k	k	NOUN
iajs-707	15	5	)	)	PUNCT
iajs-707	15	6	cb	cb	NOUN
iajs-707	15	7	=	=	PUNCT
iajs-707	15	8	concentration	concentration	NOUN
iajs-707	15	9	of	of	ADP
iajs-707	15	10	benzene	benzene	NOUN
iajs-707	15	11	(	(	PUNCT
iajs-707	15	12	mole	mole	NOUN
iajs-707	15	13	/	/	SYM
iajs-707	15	14	cm3	cm3	NOUN
iajs-707	15	15	)	)	PUNCT
iajs-707	15	16	.	.	PUNCT
iajs-707	16	1	price	price	NOUN
iajs-707	16	2	and	and	CCONJ
iajs-707	16	3	butt	butt	NOUN
iajs-707	16	4	[	[	X
iajs-707	16	5	4	4	NUM
iajs-707	16	6	]	]	PUNCT
iajs-707	16	7	studied	study	VERB
iajs-707	16	8	this	this	DET
iajs-707	16	9	reaction	reaction	NOUN
iajs-707	16	10	in	in	ADP
iajs-707	16	11	a	a	DET
iajs-707	16	12	tubular	tubular	ADJ
iajs-707	16	13	reactor	reactor	NOUN
iajs-707	16	14	.	.	PUNCT
iajs-707	17	1	if	if	SCONJ
iajs-707	17	2	the	the	DET
iajs-707	17	3	reactor	reactor	NOUN
iajs-707	17	4	is	be	AUX
iajs-707	17	5	assumed	assume	VERB
iajs-707	17	6	to	to	PART
iajs-707	17	7	be	be	AUX
iajs-707	17	8	isothermal	isothermal	ADJ
iajs-707	17	9	,	,	PUNCT
iajs-707	17	10	we	we	PRON
iajs-707	17	11	can	can	AUX
iajs-707	17	12	calculate	calculate	VERB
iajs-707	17	13	the	the	DET
iajs-707	17	14	dimensionless	dimensionless	NOUN
iajs-707	17	15	concentration	concentration	NOUN
iajs-707	17	16	profile	profile	NOUN
iajs-707	17	17	of	of	ADP
iajs-707	17	18	benzene	benzene	NOUN
iajs-707	17	19	in	in	ADP
iajs-707	17	20	their	their	PRON
iajs-707	17	21	reactor	reactor	NOUN
iajs-707	17	22	given	give	VERB
iajs-707	17	23	plug	plug	NOUN
iajs-707	17	24	flow	flow	NOUN
iajs-707	17	25	operation	operation	NOUN
iajs-707	17	26	in	in	ADP
iajs-707	17	27	the	the	DET
iajs-707	17	28	absence	absence	NOUN
iajs-707	17	29	of	of	ADP
iajs-707	17	30	interand	interand	NOUN
iajs-707	17	31	intraphase	intraphase	NOUN
iajs-707	17	32	gradients	gradient	NOUN
iajs-707	17	33	.	.	PUNCT
iajs-707	18	1	using	use	VERB
iajs-707	18	2	a	a	DET
iajs-707	18	3	typical	typical	ADJ
iajs-707	18	4	run	run	NOUN
iajs-707	18	5	,	,	PUNCT
iajs-707	18	6	ph2	ph2	NOUN
iajs-707	18	7	=	=	PUNCT
iajs-707	18	8	685	685	NUM
iajs-707	18	9	torr	torr	NOUN
iajs-707	18	10	pb	pb	ADP
iajs-707	18	11	=	=	NOUN
iajs-707	18	12	density	density	NOUN
iajs-707	18	13	of	of	ADP
iajs-707	18	14	the	the	DET
iajs-707	18	15	reactor	reactor	NOUN
iajs-707	18	16	bed	bed	NOUN
iajs-707	18	17	,	,	PUNCT
iajs-707	18	18	1.2	1.2	NUM
iajs-707	18	19	gcat	gcat	NOUN
iajs-707	18	20	/	/	SYM
iajs-707	18	21	cm3	cm3	NOUN
iajs-707	18	22	e	e	NOUN
iajs-707	18	23	=	=	NOUN
iajs-707	18	24	contact	contact	NOUN
iajs-707	18	25	time	time	NOUN
iajs-707	18	26	,	,	PUNCT
iajs-707	18	27	0.226	0.226	PRON
iajs-707	18	28	s	s	PART
iajs-707	18	29	t	t	NOUN
iajs-707	18	30	=	=	SYM
iajs-707	18	31	150	150	NUM
iajs-707	18	32	°	°	NUM
iajs-707	18	33	c	c	NOUN
iajs-707	18	34	and	and	CCONJ
iajs-707	18	35	if	if	SCONJ
iajs-707	18	36	we	we	PRON
iajs-707	18	37	now	now	ADV
iajs-707	18	38	consider	consider	VERB
iajs-707	18	39	the	the	DET
iajs-707	18	40	reactor	reactor	NOUN
iajs-707	18	41	to	to	PART
iajs-707	18	42	be	be	AUX
iajs-707	18	43	adiabatic	adiabatic	ADJ
iajs-707	18	44	instead	instead	ADV
iajs-707	18	45	of	of	ADP
iajs-707	18	46	isothermal	isothermal	ADJ
iajs-707	18	47	,	,	PUNCT
iajs-707	18	48	then	then	ADV
iajs-707	18	49	an	an	DET
iajs-707	18	50	energy	energy	NOUN
iajs-707	18	51	balance	balance	NOUN
iajs-707	18	52	must	must	AUX
iajs-707	18	53	accompany	accompany	VERB
iajs-707	18	54	the	the	DET
iajs-707	18	55	material	material	NOUN
iajs-707	18	56	balance	balance	NOUN
iajs-707	18	57	.	.	PUNCT
iajs-707	19	1	formulate	formulate	VERB
iajs-707	19	2	the	the	DET
iajs-707	19	3	system	system	NOUN
iajs-707	19	4	of	of	ADP
iajs-707	19	5	governing	govern	VERB
iajs-707	19	6	differential	differential	ADJ
iajs-707	19	7	equations	equation	NOUN
iajs-707	19	8	.	.	PUNCT
iajs-707	20	1	the	the	DET
iajs-707	20	2	data	datum	NOUN
iajs-707	20	3	of	of	ADP
iajs-707	20	4	this	this	DET
iajs-707	20	5	problem	problem	NOUN
iajs-707	20	6	cp	cp	INTJ
iajs-707	20	7	=	=	NOUN
iajs-707	20	8	12.17	12.17	NUM
iajs-707	20	9	x	x	SYM
iajs-707	20	10	104	104	NUM
iajs-707	20	11	j/(kmole'	j/(kmole'	NOUN
iajs-707	20	12	°	°	NOUN
iajs-707	20	13	c	c	NOUN
iajs-707	20	14	)	)	PUNCT
iajs-707	20	15			NOUN
iajs-707	20	16	.hr	.hr	PUNCT
iajs-707	21	1	=	=	PUNCT
iajs-707	21	2	2.09	2.09	NUM
iajs-707	21	3	x	x	SYM
iajs-707	21	4	108	108	NUM
iajs-707	21	5	j	j	PROPN
iajs-707	21	6	/	/	SYM
iajs-707	21	7	kmole	kmole	PROPN
iajs-707	21	8	)	)	PUNCT
iajs-707	21	9	150(423	150(423	NUM
iajs-707	21	10	,	,	PUNCT
iajs-707	21	11	00	00	NUM
iajs-707	21	12	0	0	NUM
iajs-707	21	13	*	*	PUNCT
iajs-707	21	14	ckt	ckt	PROPN
iajs-707	21	15	t	t	PROPN
iajs-707	21	16	t	t	PROPN
iajs-707	21	17	t	t	PROPN
iajs-707	21	18			NUM
iajs-707	21	19	.	.	PUNCT
iajs-707	22	1	for	for	ADP
iajs-707	22	2	the	the	DET
iajs-707	22	3	"	"	PUNCT
iajs-707	22	4	short	short	ADJ
iajs-707	22	5	"	"	PUNCT
iajs-707	22	6	reactor	reactor	NOUN
iajs-707	22	7	,	,	PUNCT
iajs-707	22	8	.	.	PUNCT
iajs-707	23	1	we	we	PRON
iajs-707	23	2	have	have	VERB
iajs-707	23	3	system	system	NOUN
iajs-707	23	4	of	of	ADP
iajs-707	23	5	initial	initial	ADJ
iajs-707	23	6	value	value	NOUN
iajs-707	23	7	problem	problem	NOUN
iajs-707	23	8	y	y	PROPN
iajs-707	23	9	tdx	tdx	PROPN
iajs-707	23	10	dy	dy	X
iajs-707	23	11	]	]	PUNCT
iajs-707	24	1	21.3	21.3	NUM
iajs-707	24	2	exp[1744.0	exp[1744.0	NOUN
iajs-707	24	3	*	*	PUNCT
iajs-707	24	4			PROPN
iajs-707	24	5	(	(	PUNCT
iajs-707	24	6	material	material	NOUN
iajs-707	24	7	balance	balance	NOUN
iajs-707	24	8	)	)	PUNCT
iajs-707	25	1	y	y	PROPN
iajs-707	25	2	tdx	tdx	PROPN
iajs-707	25	3	dt	dt	X
iajs-707	25	4	]	]	PUNCT
iajs-707	26	1	21.3	21.3	NUM
iajs-707	26	2	exp[06984.0	exp[06984.0	X
iajs-707	26	3	*	*	PUNCT
iajs-707	26	4	*	*	PUNCT
iajs-707	26	5			PRON
iajs-707	26	6	(	(	PUNCT
iajs-707	26	7	energy	energy	NOUN
iajs-707	26	8	balance	balance	NOUN
iajs-707	26	9	)	)	PUNCT
iajs-707	26	10	with	with	ADP
iajs-707	26	11	i.c	i.c	PROPN
iajs-707	26	12	y(0	y(0	PROPN
iajs-707	26	13	)	)	PUNCT
iajs-707	26	14	=	=	NOUN
iajs-707	26	15	1	1	NUM
iajs-707	26	16	,	,	PUNCT
iajs-707	26	17	t	t	NOUN
iajs-707	26	18	*	*	PUNCT
iajs-707	26	19	(	(	PUNCT
iajs-707	26	20	0	0	NUM
iajs-707	26	21	)	)	PUNCT
iajs-707	26	22	=	=	NOUN
iajs-707	26	23	1	1	NUM
iajs-707	26	24	2problem	2problem	NUM
iajs-707	26	25	definition	definition	NOUN
iajs-707	26	26	in	in	ADP
iajs-707	26	27	this	this	DET
iajs-707	26	28	section	section	NOUN
iajs-707	26	29	we	we	PRON
iajs-707	26	30	can	can	AUX
iajs-707	26	31	explain	explain	VERB
iajs-707	26	32	the	the	DET
iajs-707	26	33	way	way	NOUN
iajs-707	26	34	through	through	ADP
iajs-707	26	35	the	the	DET
iajs-707	26	36	application	application	NOUN
iajs-707	26	37	of	of	ADP
iajs-707	26	38	this	this	DET
iajs-707	26	39	system	system	NOUN
iajs-707	26	40	,	,	PUNCT
iajs-707	26	41	of	of	ADP
iajs-707	26	42	initial	initial	ADJ
iajs-707	26	43	value	value	NOUN
iajs-707	26	44	problem	problem	NOUN
iajs-707	26	45	:	:	PUNCT
iajs-707	26	46	y	y	PROPN
iajs-707	26	47	tdx	tdx	PROPN
iajs-707	26	48	dy	dy	X
iajs-707	26	49	]	]	PUNCT
iajs-707	26	50	21.3	21.3	NUM
iajs-707	26	51	exp[1744.0	exp[1744.0	NOUN
iajs-707	26	52	*	*	PUNCT
iajs-707	26	53			ADJ
iajs-707	26	54	…	…	PUNCT
iajs-707	26	55	…	…	PUNCT
iajs-707	26	56	…	…	PUNCT
iajs-707	26	57	…	…	PUNCT
iajs-707	26	58	…	…	PUNCT
iajs-707	26	59	…	…	PUNCT
iajs-707	26	60	(	(	PUNCT
iajs-707	26	61	1	1	X
iajs-707	26	62	)	)	PUNCT
iajs-707	26	63	y	y	PROPN
iajs-707	26	64	tdx	tdx	PROPN
iajs-707	26	65	dt	dt	X
iajs-707	26	66	]	]	PUNCT
iajs-707	27	1	21.3	21.3	NUM
iajs-707	27	2	exp[06984.0	exp[06984.0	X
iajs-707	27	3	*	*	PUNCT
iajs-707	27	4	*	*	PUNCT
iajs-707	27	5			ADJ
iajs-707	27	6	with	with	ADP
iajs-707	27	7	i.c	i.c	PROPN
iajs-707	27	8	y(0	y(0	PROPN
iajs-707	27	9	)	)	PUNCT
iajs-707	27	10	=	=	NOUN
iajs-707	27	11	1	1	NUM
iajs-707	27	12	,	,	PUNCT
iajs-707	27	13	t*(0	t*(0	PROPN
iajs-707	27	14	)	)	PUNCT
iajs-707	27	15	=	=	NOUN
iajs-707	27	16	1	1	NUM
iajs-707	27	17	in	in	ADP
iajs-707	27	18	this	this	DET
iajs-707	27	19	paper	paper	NOUN
iajs-707	27	20	we	we	PRON
iajs-707	27	21	are	be	AUX
iajs-707	27	22	particularly	particularly	ADV
iajs-707	27	23	concerned	concerned	ADJ
iajs-707	27	24	with	with	ADP
iajs-707	27	25	fitting	fitting	ADJ
iajs-707	27	26	function	function	NOUN
iajs-707	27	27	values	value	NOUN
iajs-707	27	28	and	and	CCONJ
iajs-707	27	29	derivatives	derivative	NOUN
iajs-707	27	30	at	at	ADP
iajs-707	27	31	the	the	DET
iajs-707	27	32	two	two	NUM
iajs-707	27	33	end	end	NOUN
iajs-707	27	34	points	point	NOUN
iajs-707	27	35	of	of	ADP
iajs-707	27	36	a	a	DET
iajs-707	27	37	finite	finite	ADJ
iajs-707	27	38	interval	interval	NOUN
iajs-707	27	39	,	,	PUNCT
iajs-707	27	40	say	say	VERB
iajs-707	27	41	[	[	X
iajs-707	27	42	0,1],wherein	0,1],wherein	NOUN
iajs-707	27	43	a	a	DET
iajs-707	27	44	useful	useful	ADJ
iajs-707	27	45	and	and	CCONJ
iajs-707	27	46	succinct	succinct	ADJ
iajs-707	27	47	way	way	NOUN
iajs-707	27	48	of	of	ADP
iajs-707	27	49	writing	write	VERB
iajs-707	27	50	a	a	DET
iajs-707	27	51	osculatory	osculatory	NOUN
iajs-707	27	52	interpolant	interpolant	NOUN
iajs-707	27	53	p2n+1(x	p2n+1(x	NOUN
iajs-707	27	54	)	)	PUNCT
iajs-707	27	55	of	of	ADP
iajs-707	27	56	degree	degree	NOUN
iajs-707	27	57	2n	2n	NUM
iajs-707	27	58	+	+	CCONJ
iajs-707	27	59	1	1	NUM
iajs-707	27	60	was	be	AUX
iajs-707	27	61	given	give	VERB
iajs-707	27	62	for	for	ADP
iajs-707	27	63	example	example	NOUN
iajs-707	27	64	by	by	ADP
iajs-707	27	65	phillips	phillip	NOUN
iajs-707	28	1	[	[	X
iajs-707	28	2	5	5	NUM
iajs-707	28	3	]	]	PUNCT
iajs-707	28	4	as	as	ADP
iajs-707	28	5	:	:	PUNCT
iajs-707	28	6	مجلة	مجلة	NOUN
iajs-707	28	7	إبن	إبن	VERB
iajs-707	28	8	الھیثم	الھیثم	NOUN
iajs-707	28	9	للعلوم	للعلوم	NOUN
iajs-707	28	10	الصرفة	الصرفة	NOUN
iajs-707	28	11	و	و	PRON
iajs-707	28	12	التطبیقیة	التطبیقیة	PROPN
iajs-707	28	13	2012	2012	NUM
iajs-707	28	14	السنة	السنة	NOUN
iajs-707	28	15	25	25	NUM
iajs-707	28	16	المجلد	المجلد	NOUN
iajs-707	28	17	1	1	NUM
iajs-707	28	18	العدد	العدد	PROPN
iajs-707	28	19	ibn	ibn	PROPN
iajs-707	28	20	al	al	PROPN
iajs-707	28	21	-	-	PUNCT
iajs-707	28	22	haitham	haitham	PROPN
iajs-707	28	23	journal	journal	PROPN
iajs-707	28	24	for	for	ADP
iajs-707	28	25	pure	pure	ADJ
iajs-707	28	26	and	and	CCONJ
iajs-707	28	27	applied	apply	VERB
iajs-707	28	28	science	science	NOUN
iajs-707	28	29	no	no	NOUN
iajs-707	28	30	.	.	NOUN
iajs-707	28	31	1	1	NUM
iajs-707	28	32	vol	vol	NOUN
iajs-707	28	33	.	.	PUNCT
iajs-707	29	1	25	25	NUM
iajs-707	29	2	year	year	NOUN
iajs-707	29	3	2012	2012	NUM
iajs-707	29	4	p2n+1(x)=	p2n+1(x)=	NOUN
iajs-707	29	5			PRON
iajs-707	29	6	n	n	PRON
iajs-707	29	7	j	j	PROPN
iajs-707	29	8	0	0	PUNCT
iajs-707	29	9	{	{	PUNCT
iajs-707	29	10	y	y	PROPN
iajs-707	29	11	)	)	PUNCT
iajs-707	29	12	(	(	PUNCT
iajs-707	29	13	j	j	PROPN
iajs-707	29	14	(	(	PUNCT
iajs-707	29	15	0	0	NUM
iajs-707	29	16	)	)	PUNCT
iajs-707	29	17	q	q	PROPN
iajs-707	29	18	j	j	PROPN
iajs-707	29	19	(	(	PUNCT
iajs-707	29	20	x)+(-1	x)+(-1	PROPN
iajs-707	29	21	)	)	PUNCT
iajs-707	29	22	j	j	PROPN
iajs-707	29	23	y	y	PROPN
iajs-707	29	24	)	)	PUNCT
iajs-707	29	25	(	(	PUNCT
iajs-707	29	26	j	j	PROPN
iajs-707	29	27	(	(	PUNCT
iajs-707	29	28	1	1	NUM
iajs-707	29	29	)	)	PUNCT
iajs-707	29	30	q	q	PROPN
iajs-707	29	31	j	j	PROPN
iajs-707	29	32	(	(	PUNCT
iajs-707	29	33	1	1	NUM
iajs-707	29	34	-	-	NUM
iajs-707	29	35	x)}	x)}	NUM
iajs-707	29	36	…	…	X
iajs-707	29	37	…	…	PUNCT
iajs-707	29	38	…	…	PUNCT
iajs-707	29	39	…	…	PUNCT
iajs-707	29	40	.(2	.(2	NUM
iajs-707	29	41	)	)	PUNCT
iajs-707	30	1	q	q	PROPN
iajs-707	30	2	j	j	PROPN
iajs-707	30	3	(	(	PUNCT
iajs-707	30	4	x	x	NOUN
iajs-707	30	5	)	)	PUNCT
iajs-707	30	6	=(	=(	NOUN
iajs-707	31	1	x	x	X
iajs-707	31	2	j	j	PROPN
iajs-707	31	3	/j!)(1	/j!)(1	NOUN
iajs-707	31	4	-	-	PUNCT
iajs-707	31	5	x	x	NOUN
iajs-707	31	6	)	)	PUNCT
iajs-707	31	7	1n	1n	NUM
iajs-707	31	8			X
iajs-707	32	1			PROPN
iajs-707	32	2			PROPN
iajs-707	32	3	jn	jn	PROPN
iajs-707	32	4	s	s	PROPN
iajs-707	32	5	0	0	NUM
iajs-707	32	6			NOUN
iajs-707	32	7			NOUN
iajs-707	32	8			PROPN
iajs-707	32	9			PROPN
iajs-707	32	10			PROPN
iajs-707	32	11			NOUN
iajs-707	32	12			PROPN
iajs-707	32	13	s	s	PROPN
iajs-707	32	14	sn	sn	PROPN
iajs-707	32	15	x	x	PROPN
iajs-707	32	16	s=	s=	PROPN
iajs-707	32	17	q	q	PROPN
iajs-707	32	18	j	j	PROPN
iajs-707	32	19	(	(	PUNCT
iajs-707	32	20	x)/j	x)/j	PROPN
iajs-707	32	21	!	!	PUNCT
iajs-707	32	22	...	...	PUNCT
iajs-707	33	1	…	…	PUNCT
iajs-707	33	2	…	…	PUNCT
iajs-707	33	3	…	…	PUNCT
iajs-707	33	4	..	..	PUNCT
iajs-707	33	5	(	(	PUNCT
iajs-707	33	6	3	3	NUM
iajs-707	33	7	)	)	PUNCT
iajs-707	34	1	so	so	SCONJ
iajs-707	34	2	that	that	SCONJ
iajs-707	34	3	(	(	PUNCT
iajs-707	34	4	2	2	X
iajs-707	34	5	)	)	PUNCT
iajs-707	34	6	with	with	ADP
iajs-707	34	7	(	(	PUNCT
iajs-707	34	8	3	3	X
iajs-707	34	9	)	)	PUNCT
iajs-707	34	10	satisfies	satisfie	NOUN
iajs-707	34	11	y	y	PROPN
iajs-707	34	12	)	)	PUNCT
iajs-707	34	13	(	(	PUNCT
iajs-707	34	14	r	r	NOUN
iajs-707	34	15	(	(	PUNCT
iajs-707	34	16	0)=	0)=	NUM
iajs-707	34	17	)	)	PUNCT
iajs-707	34	18	(	(	PUNCT
iajs-707	34	19	12	12	NUM
iajs-707	34	20	r	r	NOUN
iajs-707	34	21	np	np	PROPN
iajs-707	34	22			X
iajs-707	34	23	(	(	PUNCT
iajs-707	34	24	0	0	NUM
iajs-707	34	25	)	)	PUNCT
iajs-707	34	26	,	,	PUNCT
iajs-707	34	27	y	y	PROPN
iajs-707	34	28	)	)	PUNCT
iajs-707	34	29	(	(	PUNCT
iajs-707	34	30	r	r	NOUN
iajs-707	34	31	(	(	PUNCT
iajs-707	34	32	1)=	1)=	NUM
iajs-707	34	33	)	)	PUNCT
iajs-707	34	34	(	(	PUNCT
iajs-707	34	35	12	12	NUM
iajs-707	34	36	r	r	NOUN
iajs-707	34	37	np	np	PROPN
iajs-707	34	38			PUNCT
iajs-707	34	39	(	(	PUNCT
iajs-707	34	40	1	1	NUM
iajs-707	34	41	)	)	PUNCT
iajs-707	34	42	,	,	PUNCT
iajs-707	34	43	r=0,1,2,	r=0,1,2,	NOUN
iajs-707	34	44	…	…	SYM
iajs-707	34	45	,n	,n	NOUN
iajs-707	34	46	.	.	PUNCT
iajs-707	34	47	we	we	PRON
iajs-707	34	48	can	can	AUX
iajs-707	34	49	be	be	AUX
iajs-707	34	50	write	write	VERB
iajs-707	34	51	the	the	DET
iajs-707	34	52	equation	equation	NOUN
iajs-707	34	53	(	(	PUNCT
iajs-707	34	54	2	2	X
iajs-707	34	55	)	)	PUNCT
iajs-707	34	56	directly	directly	ADV
iajs-707	34	57	in	in	ADP
iajs-707	34	58	terms	term	NOUN
iajs-707	34	59	of	of	ADP
iajs-707	34	60	the	the	DET
iajs-707	34	61	taylor	taylor	PROPN
iajs-707	34	62	coefficients	coefficient	NOUN
iajs-707	34	63	ai	ai	VERB
iajs-707	34	64	and	and	CCONJ
iajs-707	34	65	bi	bi	ADJ
iajs-707	34	66	about	about	ADP
iajs-707	34	67	x	x	PUNCT
iajs-707	35	1	=	=	SYM
iajs-707	35	2	0	0	NUM
iajs-707	35	3	and	and	CCONJ
iajs-707	35	4	x	x	SYM
iajs-707	35	5	=	=	NOUN
iajs-707	35	6	1	1	NUM
iajs-707	35	7	respectively	respectively	ADV
iajs-707	35	8	,	,	PUNCT
iajs-707	35	9	as	as	ADP
iajs-707	35	10	p2n+1(x)=	p2n+1(x)=	NOUN
iajs-707	35	11			PRON
iajs-707	35	12	n	n	PRON
iajs-707	35	13	j	j	NOUN
iajs-707	35	14	0	0	PUNCT
iajs-707	35	15	{	{	PUNCT
iajs-707	35	16	a	a	PRON
iajs-707	35	17	j	j	PROPN
iajs-707	35	18	q	q	X
iajs-707	35	19	j	j	PROPN
iajs-707	35	20	(	(	PUNCT
iajs-707	35	21	x	x	X
iajs-707	35	22	)	)	PUNCT
iajs-707	35	23	+	+	CCONJ
iajs-707	35	24	(	(	PUNCT
iajs-707	35	25	-1	-1	INTJ
iajs-707	35	26	)	)	PUNCT
iajs-707	35	27	j	j	PROPN
iajs-707	36	1	b	b	X
iajs-707	36	2	j	j	PROPN
iajs-707	36	3	q	q	PROPN
iajs-707	36	4	j	j	PROPN
iajs-707	36	5	(	(	PUNCT
iajs-707	36	6	1	1	NUM
iajs-707	36	7	-	-	SYM
iajs-707	36	8	x	x	NOUN
iajs-707	36	9	)	)	PUNCT
iajs-707	36	10	}	}	PUNCT
iajs-707	36	11	.	.	PUNCT
iajs-707	37	1	…	…	PUNCT
iajs-707	37	2	.(4	.(4	NUM
iajs-707	37	3	)	)	PUNCT
iajs-707	38	1	the	the	DET
iajs-707	38	2	simple	simple	ADJ
iajs-707	38	3	idea	idea	NOUN
iajs-707	38	4	of	of	ADP
iajs-707	38	5	this	this	DET
iajs-707	38	6	paper	paper	NOUN
iajs-707	38	7	is	be	AUX
iajs-707	38	8	to	to	PART
iajs-707	38	9	replace	replace	VERB
iajs-707	38	10	y(x	y(x	NOUN
iajs-707	38	11	)	)	PUNCT
iajs-707	38	12	in	in	ADP
iajs-707	38	13	problem	problem	NOUN
iajs-707	38	14	(	(	PUNCT
iajs-707	38	15	1	1	NUM
iajs-707	38	16	)	)	PUNCT
iajs-707	38	17	by	by	ADP
iajs-707	38	18	a	a	DET
iajs-707	38	19	p2n+1	p2n+1	NOUN
iajs-707	38	20	in	in	ADP
iajs-707	38	21	equation	equation	NOUN
iajs-707	38	22	(	(	PUNCT
iajs-707	38	23	3	3	NUM
iajs-707	38	24	)	)	PUNCT
iajs-707	38	25	.the	.the	VERB
iajs-707	39	1	first	first	ADJ
iajs-707	39	2	step	step	NOUN
iajs-707	39	3	therefore	therefore	ADV
iajs-707	39	4	is	be	AUX
iajs-707	39	5	to	to	PART
iajs-707	39	6	construct	construct	VERB
iajs-707	39	7	the	the	DET
iajs-707	39	8	p2n+1	p2n+1	NOUN
iajs-707	39	9	.	.	PUNCT
iajs-707	40	1	to	to	PART
iajs-707	40	2	do	do	VERB
iajs-707	40	3	this	this	PRON
iajs-707	40	4	we	we	PRON
iajs-707	40	5	need	need	VERB
iajs-707	40	6	the	the	DET
iajs-707	40	7	taylor	taylor	PROPN
iajs-707	40	8	coefficients	coefficient	NOUN
iajs-707	40	9	of	of	ADP
iajs-707	40	10	y	y	PROPN
iajs-707	40	11	(	(	PUNCT
iajs-707	40	12	x	x	NOUN
iajs-707	40	13	)	)	PUNCT
iajs-707	40	14	and	and	CCONJ
iajs-707	40	15	t	t	PROPN
iajs-707	40	16	*	*	PUNCT
iajs-707	40	17	(	(	PUNCT
iajs-707	40	18	x	x	X
iajs-707	40	19	)	)	PUNCT
iajs-707	40	20	respectively	respectively	ADV
iajs-707	40	21	about	about	ADP
iajs-707	40	22	x=0	x=0	PROPN
iajs-707	40	23	…	…	PUNCT
iajs-707	40	24	…	…	SYM
iajs-707	40	25	……	……	NOUN
iajs-707	40	26	(	(	PUNCT
iajs-707	40	27	5a	5a	NUM
iajs-707	40	28	)	)	PUNCT
iajs-707	40	29			X
iajs-707	40	30			VERB
iajs-707	40	31			NUM
iajs-707	40	32	2i	2i	NOUN
iajs-707	40	33	i	i	PRON
iajs-707	40	34	ixa	ixa	VERB
iajs-707	40	35	y	y	PROPN
iajs-707	40	36	(	(	PUNCT
iajs-707	40	37	x)=	x)=	PROPN
iajs-707	40	38	a0	a0	PROPN
iajs-707	41	1	+	+	PROPN
iajs-707	41	2	a1x	a1x	PROPN
iajs-707	41	3	+	+	CCONJ
iajs-707	41	4	where	where	SCONJ
iajs-707	41	5	y(0	y(0	NOUN
iajs-707	41	6	)	)	PUNCT
iajs-707	41	7	=	=	NOUN
iajs-707	41	8	a0	a0	NOUN
iajs-707	41	9	,	,	PUNCT
iajs-707	41	10	y	y	PROPN
iajs-707	41	11	'	'	PUNCT
iajs-707	41	12	(	(	PUNCT
iajs-707	41	13	0	0	NUM
iajs-707	41	14	)	)	PUNCT
iajs-707	42	1	=	=	NOUN
iajs-707	42	2	a1	a1	NOUN
iajs-707	42	3	.	.	PUNCT
iajs-707	43	1	…	…	PUNCT
iajs-707	43	2	…	…	PUNCT
iajs-707	43	3	y	y	X
iajs-707	43	4	(	(	PUNCT
iajs-707	43	5	j	j	PROPN
iajs-707	43	6	)	)	PUNCT
iajs-707	43	7	(	(	PUNCT
iajs-707	43	8	0)/i	0)/i	X
iajs-707	43	9	!	!	PUNCT
iajs-707	44	1	=	=	PRON
iajs-707	44	2	ai	ai	VERB
iajs-707	44	3	i=2.3	i=2.3	NOUN
iajs-707	44	4	,	,	PUNCT
iajs-707	44	5	…	…	PUNCT
iajs-707	44	6	..	..	PUNCT
iajs-707	44	7	and	and	CCONJ
iajs-707	44	8	…	…	PUNCT
iajs-707	44	9	…	…	PUNCT
iajs-707	44	10	……	……	NOUN
iajs-707	44	11	(	(	PUNCT
iajs-707	44	12	5b	5b	NUM
iajs-707	44	13	)	)	PUNCT
iajs-707	44	14			X
iajs-707	44	15			VERB
iajs-707	44	16			NUM
iajs-707	44	17	2i	2i	NOUN
iajs-707	44	18	i	i	PRON
iajs-707	44	19	ixb	ixb	VERB
iajs-707	44	20	t*(x)=	t*(x)=	PROPN
iajs-707	44	21	b0	b0	ADP
iajs-707	44	22	+	+	PROPN
iajs-707	44	23	b1x	b1x	PROPN
iajs-707	44	24	+	+	CCONJ
iajs-707	44	25	where	where	SCONJ
iajs-707	44	26	t	t	PROPN
iajs-707	44	27	*	*	PUNCT
iajs-707	44	28	(	(	PUNCT
iajs-707	44	29	0	0	NUM
iajs-707	44	30	)	)	PUNCT
iajs-707	44	31	=	=	NOUN
iajs-707	44	32	b0	b0	NOUN
iajs-707	44	33	,	,	PUNCT
iajs-707	44	34	t	t	NOUN
iajs-707	44	35	*	*	PUNCT
iajs-707	44	36	'	'	PUNCT
iajs-707	44	37	(	(	PUNCT
iajs-707	44	38	0	0	NUM
iajs-707	44	39	)	)	PUNCT
iajs-707	45	1	=	=	NOUN
iajs-707	45	2	b1	b1	NOUN
iajs-707	45	3	.	.	PUNCT
iajs-707	46	1	…	…	PUNCT
iajs-707	46	2	…	…	PUNCT
iajs-707	46	3	t	t	X
iajs-707	46	4	*	*	PUNCT
iajs-707	46	5	(	(	PUNCT
iajs-707	46	6	j	j	PROPN
iajs-707	46	7	)	)	PUNCT
iajs-707	46	8	(	(	PUNCT
iajs-707	46	9	0)/i	0)/i	X
iajs-707	46	10	!	!	PUNCT
iajs-707	47	1	=	=	NOUN
iajs-707	47	2	bi	bi	NOUN
iajs-707	47	3	i=2.3	i=2.3	NOUN
iajs-707	47	4	,	,	PUNCT
iajs-707	47	5	…	…	PUNCT
iajs-707	47	6	..	..	PUNCT
iajs-707	47	7	also	also	ADV
iajs-707	47	8	we	we	PRON
iajs-707	47	9	need	need	VERB
iajs-707	47	10	the	the	DET
iajs-707	47	11	taylor	taylor	PROPN
iajs-707	47	12	coefficients	coefficient	NOUN
iajs-707	47	13	of	of	ADP
iajs-707	47	14	y	y	PROPN
iajs-707	47	15	(	(	PUNCT
iajs-707	47	16	x	x	NOUN
iajs-707	47	17	)	)	PUNCT
iajs-707	47	18	and	and	CCONJ
iajs-707	47	19	t	t	PROPN
iajs-707	47	20	*	*	PUNCT
iajs-707	47	21	(	(	PUNCT
iajs-707	47	22	x	x	X
iajs-707	47	23	)	)	PUNCT
iajs-707	47	24	respectively	respectively	ADV
iajs-707	47	25	about	about	ADP
iajs-707	47	26	x=1	x=1	PROPN
iajs-707	47	27	…	…	PUNCT
iajs-707	47	28	…	…	SYM
iajs-707	47	29	……	……	NOUN
iajs-707	47	30	(	(	PUNCT
iajs-707	47	31	6a	6a	NOUN
iajs-707	47	32	)	)	PUNCT
iajs-707	47	33			X
iajs-707	47	34			VERB
iajs-707	47	35			PRON
iajs-707	47	36			NOUN
iajs-707	47	37	2	2	NUM
iajs-707	47	38	)	)	PUNCT
iajs-707	47	39	1	1	NUM
iajs-707	47	40	(	(	PUNCT
iajs-707	47	41	i	i	PRON
iajs-707	48	1	i	i	PRON
iajs-707	49	1	i	i	INTJ
iajs-707	49	2	xc	xc	PROPN
iajs-707	50	1	y	y	PROPN
iajs-707	50	2	(	(	PUNCT
iajs-707	50	3	x)=	x)=	PROPN
iajs-707	50	4	c0	c0	PROPN
iajs-707	50	5	+	+	PROPN
iajs-707	50	6	c1(x-1	c1(x-1	NOUN
iajs-707	50	7	)	)	PUNCT
iajs-707	51	1	+	+	CCONJ
iajs-707	51	2	where	where	SCONJ
iajs-707	51	3	y1(1	y1(1	NOUN
iajs-707	51	4	)	)	PUNCT
iajs-707	51	5	=	=	NOUN
iajs-707	51	6	c0	c0	X
iajs-707	51	7	,	,	PUNCT
iajs-707	51	8	y	y	PROPN
iajs-707	51	9	'	'	PUNCT
iajs-707	51	10	(	(	PUNCT
iajs-707	51	11	1	1	X
iajs-707	51	12	)	)	PUNCT
iajs-707	51	13	=	=	NOUN
iajs-707	51	14	c1	c1	PROPN
iajs-707	51	15	.	.	PUNCT
iajs-707	52	1	…	…	PUNCT
iajs-707	52	2	…	…	PUNCT
iajs-707	52	3	y	y	X
iajs-707	52	4	(	(	PUNCT
iajs-707	52	5	j	j	PROPN
iajs-707	52	6	)	)	PUNCT
iajs-707	52	7	(	(	PUNCT
iajs-707	52	8	1)/i	1)/i	X
iajs-707	52	9	!	!	PUNCT
iajs-707	53	1	=	=	NOUN
iajs-707	53	2	ci	ci	NOUN
iajs-707	53	3	i=2.3	i=2.3	NOUN
iajs-707	53	4	,	,	PUNCT
iajs-707	53	5	…	…	PUNCT
iajs-707	53	6	..	..	PUNCT
iajs-707	53	7	…	…	PUNCT
iajs-707	53	8	…	…	SYM
iajs-707	53	9	……	……	NOUN
iajs-707	53	10	(	(	PUNCT
iajs-707	53	11	6b	6b	NUM
iajs-707	53	12	)	)	PUNCT
iajs-707	53	13			X
iajs-707	53	14			VERB
iajs-707	53	15			PRON
iajs-707	53	16			NOUN
iajs-707	53	17	2	2	NUM
iajs-707	53	18	)	)	PUNCT
iajs-707	53	19	1	1	NUM
iajs-707	53	20	(	(	PUNCT
iajs-707	53	21	i	i	PRON
iajs-707	53	22	i	i	PRON
iajs-707	54	1	i	i	PRON
iajs-707	54	2	xd	xd	INTJ
iajs-707	54	3	t*(x)=	t*(x)=	NUM
iajs-707	54	4	d0	d0	NOUN
iajs-707	54	5	+	+	NOUN
iajs-707	54	6	d1(x-1	d1(x-1	NOUN
iajs-707	54	7	)	)	PUNCT
iajs-707	55	1	+	+	CCONJ
iajs-707	55	2	where	where	SCONJ
iajs-707	55	3	t	t	NOUN
iajs-707	55	4	*	*	PUNCT
iajs-707	55	5	(	(	PUNCT
iajs-707	55	6	1	1	X
iajs-707	55	7	)	)	PUNCT
iajs-707	55	8	=	=	NOUN
iajs-707	55	9	d0	d0	NOUN
iajs-707	55	10	,	,	PUNCT
iajs-707	55	11	t	t	PROPN
iajs-707	55	12	*	*	PUNCT
iajs-707	55	13	'	'	PUNCT
iajs-707	55	14	(	(	PUNCT
iajs-707	55	15	1	1	X
iajs-707	55	16	)	)	PUNCT
iajs-707	55	17	=	=	NOUN
iajs-707	55	18	di	di	X
iajs-707	55	19	.	.	PUNCT
iajs-707	56	1	…	…	PUNCT
iajs-707	56	2	…	…	PUNCT
iajs-707	56	3	t	t	X
iajs-707	56	4	*	*	PUNCT
iajs-707	56	5	(	(	PUNCT
iajs-707	56	6	j	j	PROPN
iajs-707	56	7	)	)	PUNCT
iajs-707	56	8	(	(	PUNCT
iajs-707	56	9	1)/i	1)/i	X
iajs-707	56	10	!	!	PUNCT
iajs-707	57	1	=	=	NOUN
iajs-707	57	2	di	di	X
iajs-707	57	3	i=2.3	i=2.3	NOUN
iajs-707	57	4	,	,	PUNCT
iajs-707	57	5	…	…	PUNCT
iajs-707	57	6	..	..	PUNCT
iajs-707	57	7	then	then	ADV
iajs-707	57	8	we	we	PRON
iajs-707	57	9	simply	simply	ADV
iajs-707	57	10	insert	insert	VERB
iajs-707	57	11	the	the	DET
iajs-707	57	12	series	series	NOUN
iajs-707	57	13	forms	form	NOUN
iajs-707	57	14	in	in	ADP
iajs-707	57	15	(	(	PUNCT
iajs-707	57	16	5a	5a	NUM
iajs-707	57	17	)	)	PUNCT
iajs-707	57	18	in	in	ADP
iajs-707	57	19	to	to	ADP
iajs-707	57	20	equation	equation	NOUN
iajs-707	57	21	(	(	PUNCT
iajs-707	57	22	1	1	NUM
iajs-707	57	23	)	)	PUNCT
iajs-707	57	24	and	and	CCONJ
iajs-707	57	25	equate	equate	ADJ
iajs-707	57	26	coefficients	coefficient	NOUN
iajs-707	57	27	of	of	ADP
iajs-707	57	28	x	x	PUNCT
iajs-707	57	29	to	to	PART
iajs-707	57	30	obtain	obtain	VERB
iajs-707	57	31	a1	a1	NOUN
iajs-707	57	32	,	,	PUNCT
iajs-707	57	33	then	then	ADV
iajs-707	57	34	derive	derive	VERB
iajs-707	57	35	equation	equation	NOUN
iajs-707	57	36	(	(	PUNCT
iajs-707	57	37	1	1	NUM
iajs-707	57	38	)	)	PUNCT
iajs-707	57	39	and	and	CCONJ
iajs-707	57	40	insert	insert	VERB
iajs-707	57	41	the	the	DET
iajs-707	57	42	series	series	NOUN
iajs-707	57	43	in	in	ADP
iajs-707	57	44	to	to	ADP
iajs-707	57	45	(	(	PUNCT
iajs-707	57	46	5a	5a	NUM
iajs-707	57	47	)	)	PUNCT
iajs-707	57	48	and	and	CCONJ
iajs-707	57	49	equate	equate	ADJ
iajs-707	57	50	coefficients	coefficient	NOUN
iajs-707	57	51	of	of	ADP
iajs-707	57	52	x	x	PART
iajs-707	57	53	to	to	PART
iajs-707	57	54	obtain	obtain	VERB
iajs-707	57	55	a2	a2	PROPN
iajs-707	57	56	and	and	CCONJ
iajs-707	57	57	soon	soon	ADV
iajs-707	57	58	to	to	PART
iajs-707	57	59	obtain	obtain	VERB
iajs-707	57	60	a3	a3	NOUN
iajs-707	57	61	,	,	PUNCT
iajs-707	57	62	a4	a4	PROPN
iajs-707	57	63	…	…	PUNCT
iajs-707	57	64	..	..	PUNCT
iajs-707	57	65	then	then	ADV
iajs-707	57	66	equation	equation	NOUN
iajs-707	57	67	(	(	PUNCT
iajs-707	57	68	5b	5b	NUM
iajs-707	57	69	)	)	PUNCT
iajs-707	57	70	in	in	ADP
iajs-707	57	71	the	the	DET
iajs-707	57	72	same	same	ADJ
iajs-707	57	73	manner	manner	NOUN
iajs-707	57	74	to	to	PART
iajs-707	57	75	obtain	obtain	VERB
iajs-707	57	76	b2	b2	NOUN
iajs-707	57	77	,	,	PUNCT
iajs-707	57	78	b3	b3	PROPN
iajs-707	57	79	,	,	PUNCT
iajs-707	57	80	…	…	PUNCT
iajs-707	57	81	..	..	PUNCT
iajs-707	57	82	and	and	CCONJ
iajs-707	57	83	simply	simply	ADV
iajs-707	57	84	insert	insert	VERB
iajs-707	57	85	the	the	DET
iajs-707	57	86	series	series	NOUN
iajs-707	57	87	forms	form	NOUN
iajs-707	57	88	in	in	ADP
iajs-707	57	89	(	(	PUNCT
iajs-707	57	90	6a	6a	NOUN
iajs-707	57	91	)	)	PUNCT
iajs-707	57	92	in	in	ADP
iajs-707	57	93	to	to	ADP
iajs-707	57	94	equation	equation	NOUN
iajs-707	57	95	(	(	PUNCT
iajs-707	57	96	1	1	NUM
iajs-707	57	97	)	)	PUNCT
iajs-707	57	98	and	and	CCONJ
iajs-707	57	99	equate	equate	VERB
iajs-707	57	100	coefficients	coefficient	NOUN
iajs-707	57	101	of(x1	of(x1	NOUN
iajs-707	57	102	)	)	PUNCT
iajs-707	57	103	to	to	PART
iajs-707	57	104	obtain	obtain	VERB
iajs-707	57	105	c1	c1	PROPN
iajs-707	57	106	,	,	PUNCT
iajs-707	57	107	then	then	ADV
iajs-707	57	108	derive	derive	VERB
iajs-707	57	109	equation	equation	NOUN
iajs-707	57	110	(	(	PUNCT
iajs-707	57	111	1	1	NUM
iajs-707	57	112	)	)	PUNCT
iajs-707	57	113	and	and	CCONJ
iajs-707	57	114	insert	insert	VERB
iajs-707	57	115	the	the	DET
iajs-707	57	116	series	series	NOUN
iajs-707	57	117	in	in	ADP
iajs-707	57	118	to	to	ADP
iajs-707	57	119	(	(	PUNCT
iajs-707	57	120	6a	6a	NOUN
iajs-707	57	121	)	)	PUNCT
iajs-707	57	122	and	and	CCONJ
iajs-707	57	123	equate	equate	ADJ
iajs-707	57	124	coefficients	coefficient	NOUN
iajs-707	57	125	of	of	ADP
iajs-707	57	126	x	x	PUNCT
iajs-707	57	127	to	to	PART
iajs-707	57	128	obtain	obtain	VERB
iajs-707	57	129	c2	c2	PROPN
iajs-707	57	130	and	and	CCONJ
iajs-707	57	131	soon	soon	ADV
iajs-707	57	132	to	to	PART
iajs-707	57	133	obtain	obtain	VERB
iajs-707	57	134	c3	c3	NOUN
iajs-707	57	135	,	,	PUNCT
iajs-707	57	136	c4	c4	NOUN
iajs-707	57	137	…	…	PUNCT
iajs-707	57	138	..	..	PUNCT
iajs-707	57	139	.then	.then	PUNCT
iajs-707	57	140	equation	equation	NOUN
iajs-707	57	141	(	(	PUNCT
iajs-707	57	142	6b	6b	NOUN
iajs-707	57	143	)	)	PUNCT
iajs-707	57	144	in	in	ADP
iajs-707	57	145	the	the	DET
iajs-707	57	146	same	same	ADJ
iajs-707	57	147	manner	manner	NOUN
iajs-707	57	148	to	to	PART
iajs-707	57	149	obtain	obtain	VERB
iajs-707	57	150	d2	d2	PROPN
iajs-707	57	151	,	,	PUNCT
iajs-707	57	152	d3	d3	PROPN
iajs-707	57	153	,	,	PUNCT
iajs-707	57	154	…	…	PUNCT
iajs-707	57	155	.	.	PUNCT
iajs-707	58	1	the	the	DET
iajs-707	58	2	resulting	result	VERB
iajs-707	58	3	system	system	NOUN
iajs-707	58	4	of	of	ADP
iajs-707	58	5	equations	equation	NOUN
iajs-707	58	6	can	can	AUX
iajs-707	58	7	be	be	AUX
iajs-707	58	8	solved	solve	VERB
iajs-707	58	9	to	to	PART
iajs-707	58	10	obtain	obtain	VERB
iajs-707	58	11	(	(	PUNCT
iajs-707	58	12	a0	a0	NOUN
iajs-707	58	13	,	,	PUNCT
iajs-707	58	14	a1,ai	a1,ai	PROPN
iajs-707	58	15	)	)	PUNCT
iajs-707	58	16	for	for	ADP
iajs-707	58	17	all	all	PRON
iajs-707	58	18	i	i	PRON
iajs-707	58	19	≥	≥	VERB
iajs-707	58	20	2	2	NUM
iajs-707	58	21	.	.	PUNCT
iajs-707	59	1	the	the	DET
iajs-707	59	2	notation	notation	NOUN
iajs-707	59	3	implies	imply	VERB
iajs-707	59	4	that	that	SCONJ
iajs-707	59	5	the	the	DET
iajs-707	59	6	coefficients	coefficient	NOUN
iajs-707	59	7	depend	depend	VERB
iajs-707	59	8	only	only	ADV
iajs-707	59	9	on	on	ADP
iajs-707	59	10	the	the	DET
iajs-707	59	11	indicated	indicate	VERB
iajs-707	59	12	unknowns	unknown	NOUN
iajs-707	59	13	a0	a0	PROPN
iajs-707	59	14	,	,	PUNCT
iajs-707	59	15	b0	b0	PROPN
iajs-707	59	16	,	,	PUNCT
iajs-707	59	17	c0	c0	NOUN
iajs-707	59	18	,	,	PUNCT
iajs-707	59	19	d0	d0	NOUN
iajs-707	59	20	.	.	PUNCT
iajs-707	60	1	we	we	PRON
iajs-707	60	2	note	note	VERB
iajs-707	60	3	here	here	ADV
iajs-707	60	4	there	there	PRON
iajs-707	60	5	are	be	VERB
iajs-707	60	6	only	only	ADV
iajs-707	60	7	two	two	NUM
iajs-707	60	8	variables	variable	NOUN
iajs-707	60	9	c0	c0	NOUN
iajs-707	60	10	,	,	PUNCT
iajs-707	60	11	d0	d0	NOUN
iajs-707	60	12	because	because	SCONJ
iajs-707	60	13	all	all	DET
iajs-707	60	14	the	the	DET
iajs-707	60	15	unknowns	unknown	NOUN
iajs-707	60	16	in	in	ADP
iajs-707	60	17	terms	term	NOUN
iajs-707	60	18	of	of	ADP
iajs-707	60	19	a0	a0	NOUN
iajs-707	60	20	,	,	PUNCT
iajs-707	60	21	b0	b0	NOUN
iajs-707	60	22	so	so	ADV
iajs-707	60	23	requires	require	VERB
iajs-707	60	24	then	then	ADV
iajs-707	60	25	presence	presence	NOUN
iajs-707	60	26	of	of	ADP
iajs-707	60	27	only	only	ADV
iajs-707	60	28	two	two	NUM
iajs-707	60	29	equations	equation	NOUN
iajs-707	60	30	.	.	PUNCT
iajs-707	61	1	now	now	ADV
iajs-707	61	2	integrate	integrate	VERB
iajs-707	61	3	equation	equation	NOUN
iajs-707	61	4	(	(	PUNCT
iajs-707	61	5	1	1	NUM
iajs-707	61	6	)	)	PUNCT
iajs-707	61	7	to	to	PART
iajs-707	61	8	obtain	obtain	VERB
iajs-707	61	9	:	:	PUNCT
iajs-707	61	10	c0	c0	PROPN
iajs-707	61	11	–	–	PUNCT
iajs-707	61	12	a0	a0	PROPN
iajs-707	62	1	+	+	X
iajs-707	62	2			SYM
iajs-707	62	3	1	1	NUM
iajs-707	62	4	0	0	NUM
iajs-707	62	5	f1	f1	NOUN
iajs-707	62	6	(	(	PUNCT
iajs-707	62	7	x	x	NOUN
iajs-707	62	8	,	,	PUNCT
iajs-707	62	9	y	y	PROPN
iajs-707	62	10	,	,	PUNCT
iajs-707	62	11	t	t	PROPN
iajs-707	62	12	*	*	PUNCT
iajs-707	62	13	)	)	PUNCT
iajs-707	63	1	dx=	dx=	PROPN
iajs-707	63	2	0	0	NUM
iajs-707	63	3	…	…	PUNCT
iajs-707	63	4	…	…	PUNCT
iajs-707	63	5	…	…	PUNCT
iajs-707	63	6	…	…	PUNCT
iajs-707	63	7	…	…	PUNCT
iajs-707	63	8	…	…	PUNCT
iajs-707	63	9	…	…	PUNCT
iajs-707	63	10	.(7a	.(7a	X
iajs-707	63	11	)	)	PUNCT
iajs-707	63	12	d0	d0	NOUN
iajs-707	63	13	–	–	PUNCT
iajs-707	63	14	b0	b0	NOUN
iajs-707	63	15	+	+	NOUN
iajs-707	63	16			SYM
iajs-707	63	17	1	1	NUM
iajs-707	63	18	0	0	NUM
iajs-707	63	19	f2	f2	PROPN
iajs-707	63	20	(	(	PUNCT
iajs-707	63	21	x	x	INTJ
iajs-707	63	22	,	,	PUNCT
iajs-707	63	23	y	y	PROPN
iajs-707	63	24	,	,	PUNCT
iajs-707	63	25	t	t	PROPN
iajs-707	63	26	*	*	PUNCT
iajs-707	63	27	)	)	PUNCT
iajs-707	64	1	dx=	dx=	PROPN
iajs-707	64	2	0	0	NUM
iajs-707	64	3	…	…	PUNCT
iajs-707	64	4	…	…	PUNCT
iajs-707	64	5	…	…	PUNCT
iajs-707	64	6	…	…	PUNCT
iajs-707	64	7	…	…	PUNCT
iajs-707	64	8	…	…	PUNCT
iajs-707	64	9	…	…	PUNCT
iajs-707	64	10	.(7b	.(7b	PUNCT
iajs-707	64	11	)	)	PUNCT
iajs-707	64	12	مجلة	مجلة	VERB
iajs-707	64	13	إبن	إبن	VERB
iajs-707	64	14	الھیثم	الھیثم	NOUN
iajs-707	64	15	للعلوم	للعلوم	NOUN
iajs-707	64	16	الصرفة	الصرفة	NOUN
iajs-707	64	17	و	و	PRON
iajs-707	64	18	التطبیقیة	التطبیقیة	PROPN
iajs-707	64	19	2012	2012	NUM
iajs-707	64	20	السنة	السنة	NOUN
iajs-707	65	1	25	25	NUM
iajs-707	65	2	المجلد	المجلد	NOUN
iajs-707	65	3	1	1	NUM
iajs-707	65	4	العدد	العدد	PROPN
iajs-707	65	5	ibn	ibn	PROPN
iajs-707	65	6	al	al	PROPN
iajs-707	65	7	-	-	PUNCT
iajs-707	65	8	haitham	haitham	PROPN
iajs-707	65	9	journal	journal	PROPN
iajs-707	65	10	for	for	ADP
iajs-707	65	11	pure	pure	ADJ
iajs-707	65	12	and	and	CCONJ
iajs-707	65	13	applied	apply	VERB
iajs-707	65	14	science	science	NOUN
iajs-707	65	15	no	no	NOUN
iajs-707	65	16	.	.	NOUN
iajs-707	65	17	1	1	NUM
iajs-707	65	18	vol	vol	NOUN
iajs-707	65	19	.	.	PUNCT
iajs-707	66	1	25	25	NUM
iajs-707	66	2	year	year	NOUN
iajs-707	66	3	2012	2012	NUM
iajs-707	66	4	and	and	CCONJ
iajs-707	66	5	replacement	replacement	NOUN
iajs-707	66	6	p2n+1	p2n+1	NOUN
iajs-707	66	7	,	,	PUNCT
iajs-707	66	8	p~	p~	PROPN
iajs-707	66	9	2n+1	2n+1	PROPN
iajs-707	66	10	of	of	ADP
iajs-707	66	11	y	y	PROPN
iajs-707	66	12	,	,	PUNCT
iajs-707	66	13	t	t	PROPN
iajs-707	66	14	*	*	PUNCT
iajs-707	66	15	in	in	ADP
iajs-707	66	16	(	(	PUNCT
iajs-707	66	17	7a	7a	NUM
iajs-707	66	18	)	)	PUNCT
iajs-707	66	19	and	and	CCONJ
iajs-707	66	20	(	(	PUNCT
iajs-707	66	21	7b	7b	NOUN
iajs-707	66	22	)	)	PUNCT
iajs-707	66	23	respectively	respectively	ADV
iajs-707	66	24	and	and	CCONJ
iajs-707	66	25	insert	insert	VERB
iajs-707	66	26	c0	c0	NOUN
iajs-707	66	27	and	and	CCONJ
iajs-707	66	28	d0	d0	NOUN
iajs-707	66	29	and	and	CCONJ
iajs-707	66	30	ai	ai	VERB
iajs-707	66	31	,	,	PUNCT
iajs-707	66	32	s	s	PART
iajs-707	66	33	,	,	PUNCT
iajs-707	66	34	bi	bi	NOUN
iajs-707	66	35	,	,	PUNCT
iajs-707	66	36	s	s	PROPN
iajs-707	66	37	,	,	PUNCT
iajs-707	66	38	ci	ci	PROPN
iajs-707	66	39	,	,	PUNCT
iajs-707	66	40	s	s	PROPN
iajs-707	66	41	,	,	PUNCT
iajs-707	66	42	di	di	X
iajs-707	66	43	,	,	PUNCT
iajs-707	66	44	s	s	VERB
iajs-707	66	45	in	in	ADP
iajs-707	66	46	to	to	PART
iajs-707	66	47	p2n+1	p2n+1	VERB
iajs-707	66	48	,	,	PUNCT
iajs-707	66	49	p~	p~	PROPN
iajs-707	66	50	2n+1	2n+1	PROPN
iajs-707	66	51	then	then	ADV
iajs-707	66	52	solve	solve	VERB
iajs-707	66	53	system	system	NOUN
iajs-707	66	54	of	of	ADP
iajs-707	66	55	algebraic	algebraic	ADJ
iajs-707	66	56	equation	equation	NOUN
iajs-707	66	57	using	use	VERB
iajs-707	66	58	matlab	matlab	PROPN
iajs-707	66	59	to	to	PART
iajs-707	66	60	obtain	obtain	VERB
iajs-707	66	61	c0	c0	NOUN
iajs-707	66	62	and	and	CCONJ
iajs-707	66	63	d0	d0	NOUN
iajs-707	66	64	and	and	CCONJ
iajs-707	66	65	insert	insert	VERB
iajs-707	66	66	into	into	ADP
iajs-707	66	67	(	(	PUNCT
iajs-707	66	68	4	4	NUM
iajs-707	66	69	)	)	PUNCT
iajs-707	66	70	which	which	PRON
iajs-707	66	71	represent	represent	VERB
iajs-707	66	72	the	the	DET
iajs-707	66	73	solution	solution	NOUN
iajs-707	66	74	of	of	ADP
iajs-707	66	75	(	(	PUNCT
iajs-707	66	76	1	1	NUM
iajs-707	66	77	)	)	PUNCT
iajs-707	66	78	.	.	PUNCT
iajs-707	67	1	from	from	ADP
iajs-707	67	2	equations	equation	NOUN
iajs-707	67	3	(	(	PUNCT
iajs-707	67	4	2	2	NUM
iajs-707	67	5	)	)	PUNCT
iajs-707	67	6	,	,	PUNCT
iajs-707	67	7	(	(	PUNCT
iajs-707	67	8	3	3	X
iajs-707	67	9	)	)	PUNCT
iajs-707	67	10	we	we	PRON
iajs-707	67	11	have	have	VERB
iajs-707	67	12	the	the	DET
iajs-707	67	13	solution	solution	NOUN
iajs-707	67	14	when	when	SCONJ
iajs-707	67	15	n=3,4	n=3,4	ADJ
iajs-707	67	16	:	:	PUNCT
iajs-707	67	17	p7=-.6200000e-18x7	p7=-.6200000e-18x7	PROPN
iajs-707	67	18	-	-	PUNCT
iajs-707	67	19	1.110814x6	1.110814x6	NUM
iajs-707	67	20	+	+	NOUN
iajs-707	67	21	3.35442x5-.5768x4-.3313x3	3.35442x5-.5768x4-.3313x3	NUM
iajs-707	67	22	+	+	NOUN
iajs-707	67	23	.134693e	.134693e	NOUN
iajs-707	67	24	2x2	2x2	NUM
iajs-707	68	1	+	+	NOUN
iajs-707	68	2	4.14525*x+.24730108e-3	4.14525*x+.24730108e-3	NOUN
iajs-707	68	3	p9=-.821544e-17x	p9=-.821544e-17x	PROPN
iajs-707	68	4	9	9	NUM
iajs-707	68	5	+	+	NOUN
iajs-707	68	6	.233415x	.233415x	NOUN
iajs-707	68	7	8	8	NUM
iajs-707	68	8	-20059x	-20059x	X
iajs-707	68	9	7	7	NUM
iajs-707	68	10	+	+	SYM
iajs-707	68	11	.1197551x	.1197551x	NOUN
iajs-707	68	12	6	6	NUM
iajs-707	68	13	+2.52655x	+2.52655x	SYM
iajs-707	68	14	5	5	NUM
iajs-707	69	1	+	+	NOUN
iajs-707	69	2	.265788e-4x	.265788e-4x	X
iajs-707	69	3	4	4	NUM
iajs-707	69	4	5.1622x	5.1622x	NUM
iajs-707	69	5	3+.326077e	3+.326077e	NUM
iajs-707	69	6	-	-	NUM
iajs-707	69	7	x2	x2	PROPN
iajs-707	69	8	+	+	PROPN
iajs-707	69	9	3.202x+.345602e-5	3.202x+.345602e-5	NUM
iajs-707	69	10	and	and	CCONJ
iajs-707	69	11	p~	p~	PROPN
iajs-707	69	12	7=-.122040e-4x7+.48829e-3x6-.8651138e-3x5-.123418e-1x4	7=-.122040e-4x7+.48829e-3x6-.8651138e-3x5-.123418e-1x4	NUM
iajs-707	69	13	+	+	NOUN
iajs-707	69	14	.166667e-1x3+.155100x2-.103300x-.30012	.166667e-1x3+.155100x2-.103300x-.30012	PROPN
iajs-707	69	15	p~	p~	PROPN
iajs-707	69	16	9=.19740e-6x9-.833318e	9=.19740e-6x9-.833318e	NUM
iajs-707	69	17	-	-	PUNCT
iajs-707	69	18	x8+.577163e	x8+.577163e	PROPN
iajs-707	69	19	-	-	PUNCT
iajs-707	69	20	x7+.345225e-3x6	x7+.345225e-3x6	PROPN
iajs-707	69	21	-.832243e-3x5-	-.832243e-3x5-	PROPN
iajs-707	69	22	.	.	PUNCT
iajs-707	70	1	125044e1x4+.163267e-1x3+.1521000x2-.10010x-.3354	125044e1x4+.163267e-1x3+.1521000x2-.10010x-.3354	NUM
iajs-707	70	2	it	it	PRON
iajs-707	70	3	is	be	AUX
iajs-707	70	4	clear	clear	ADJ
iajs-707	70	5	that	that	SCONJ
iajs-707	70	6	from	from	ADP
iajs-707	70	7	table	table	NOUN
iajs-707	70	8	2	2	NUM
iajs-707	70	9	,	,	PUNCT
iajs-707	70	10	the	the	DET
iajs-707	70	11	suggested	suggest	VERB
iajs-707	70	12	method	method	NOUN
iajs-707	70	13	is	be	AUX
iajs-707	70	14	more	more	ADV
iajs-707	70	15	accurate	accurate	ADJ
iajs-707	70	16	that	that	SCONJ
iajs-707	70	17	the	the	DET
iajs-707	70	18	other	other	ADJ
iajs-707	70	19	results	result	NOUN
iajs-707	70	20	and	and	CCONJ
iajs-707	70	21	converge	converge	VERB
iajs-707	70	22	faster	fast	ADV
iajs-707	70	23	and	and	CCONJ
iajs-707	70	24	easy	easy	ADJ
iajs-707	70	25	implementation	implementation	NOUN
iajs-707	70	26	.	.	PUNCT
iajs-707	71	1	references	reference	NOUN
iajs-707	71	2	1youdong	1youdong	PROPN
iajs-707	71	3	lin	lin	PROPN
iajs-707	71	4	,	,	PUNCT
iajs-707	71	5	joshua	joshua	PROPN
iajs-707	71	6	a.	a.	PROPN
iajs-707	71	7	,	,	PUNCT
iajs-707	71	8	enszer	enszer	NOUN
iajs-707	71	9	,	,	PUNCT
iajs-707	71	10	and	and	CCONJ
iajs-707	71	11	mark	mark	PROPN
iajs-707	71	12	a.	a.	PROPN
iajs-707	71	13	,(2007	,(2007	PROPN
iajs-707	71	14	)	)	PUNCT
iajs-707	71	15	,	,	PUNCT
iajs-707	71	16	stadtherr1	stadtherr1	NOUN
iajs-707	71	17	,	,	PUNCT
iajs-707	71	18	enclosing	enclose	VERB
iajs-707	71	19	all	all	DET
iajs-707	71	20	solutions	solution	NOUN
iajs-707	71	21	of	of	ADP
iajs-707	71	22	two	two	NUM
iajs-707	71	23	-	-	PUNCT
iajs-707	71	24	point	point	NOUN
iajs-707	71	25	boundary	boundary	ADJ
iajs-707	71	26	value	value	NOUN
iajs-707	71	27	problems	problem	NOUN
iajs-707	71	28	for	for	ADP
iajs-707	71	29	odes	ode	NOUN
iajs-707	71	30	2	2	NUM
iajs-707	71	31	russell	russell	PROPN
iajs-707	71	32	l.	l.	PROPN
iajs-707	71	33	herman,(2008	herman,(2008	PROPN
iajs-707	71	34	)	)	PUNCT
iajs-707	71	35	,	,	PUNCT
iajs-707	71	36	a	a	DET
iajs-707	71	37	second	second	ADJ
iajs-707	71	38	course	course	NOUN
iajs-707	71	39	in	in	ADP
iajs-707	71	40	ordinary	ordinary	ADJ
iajs-707	71	41	differential	differential	ADJ
iajs-707	71	42	equations	equation	NOUN
iajs-707	71	43	of	of	ADP
iajs-707	71	44	dynamical	dynamical	ADJ
iajs-707	71	45	systems	system	NOUN
iajs-707	71	46	and	and	CCONJ
iajs-707	71	47	boundary	boundary	ADJ
iajs-707	71	48	value	value	NOUN
iajs-707	71	49	problems	problem	NOUN
iajs-707	71	50	.	.	PUNCT
iajs-707	72	1	3	3	NUM
iajs-707	72	2	kehoe	kehoe	PROPN
iajs-707	72	3	,	,	PUNCT
iajs-707	72	4	j.	j.	PROPN
iajs-707	72	5	p.	p.	PROPN
iajs-707	72	6	g.	g.	PROPN
iajs-707	72	7	and	and	CCONJ
iajs-707	72	8	j.	j.	PROPN
iajs-707	72	9	b.	b.	PROPN
iajs-707	72	10	butt,(1972	butt,(1972	PROPN
iajs-707	72	11	)	)	PUNCT
iajs-707	72	12	,	,	PUNCT
iajs-707	72	13	"	"	PUNCT
iajs-707	72	14	interactions	interaction	NOUN
iajs-707	72	15	of	of	ADP
iajs-707	72	16	interand	interand	NOUN
iajs-707	72	17	intraphase	intraphase	NOUN
iajs-707	72	18	gradients	gradient	NOUN
iajs-707	72	19	in	in	ADP
iajs-707	72	20	a	a	DET
iajs-707	72	21	diffusion	diffusion	NOUN
iajs-707	72	22	limited	limit	VERB
iajs-707	72	23	catalytic	catalytic	ADJ
iajs-707	72	24	reaction	reaction	NOUN
iajs-707	72	25	,	,	PUNCT
iajs-707	72	26	"	"	PUNCT
iajs-707	72	27	a.i.ch.e	a.i.ch.e	NOUN
iajs-707	72	28	.	.	PUNCT
iajs-707	73	1	j.	j.	PROPN
iajs-707	73	2	,	,	PUNCT
iajs-707	73	3	18	18	NUM
iajs-707	73	4	,	,	PUNCT
iajs-707	73	5	347	347	NUM
iajs-707	73	6	.	.	NOUN
iajs-707	73	7	4	4	NUM
iajs-707	73	8	price	price	NOUN
iajs-707	73	9	,	,	PUNCT
iajs-707	73	10	t.	t.	PROPN
iajs-707	73	11	h.	h.	PROPN
iajs-707	73	12	and	and	CCONJ
iajs-707	73	13	j.	j.	PROPN
iajs-707	73	14	b.	b.	PROPN
iajs-707	73	15	butt,(1977	butt,(1977	PROPN
iajs-707	73	16	)	)	PUNCT
iajs-707	73	17	,	,	PUNCT
iajs-707	73	18	"	"	PUNCT
iajs-707	73	19	catalyst	catalyst	NOUN
iajs-707	73	20	poisoning	poisoning	NOUN
iajs-707	73	21	and	and	CCONJ
iajs-707	73	22	fixed	fix	VERB
iajs-707	73	23	bed	bed	NOUN
iajs-707	73	24	reactor	reactor	NOUN
iajs-707	73	25	dynamics	dynamic	NOUN
iajs-707	73	26	-	-	PUNCT
iajs-707	73	27	ii	ii	NOUN
iajs-707	73	28	,	,	PUNCT
iajs-707	73	29	"	"	PUNCT
iajs-707	73	30	chern	chern	PROPN
iajs-707	73	31	.	.	PUNCT
iajs-707	74	1	eng	eng	PROPN
iajs-707	74	2	.	.	PUNCT
iajs-707	75	1	sci	sci	PROPN
iajs-707	75	2	.	.	PROPN
iajs-707	75	3	,	,	PUNCT
iajs-707	75	4	32	32	NUM
iajs-707	75	5	,	,	PUNCT
iajs-707	75	6	393	393	NUM
iajs-707	75	7	.	.	PUNCT
iajs-707	76	1	5m.phillips	5m.phillip	NOUN
iajs-707	76	2	.	.	PUNCT
iajs-707	77	1	g	g	PROPN
iajs-707	77	2	.,(1973	.,(1973	PROPN
iajs-707	77	3	)	)	PUNCT
iajs-707	78	1	,	,	PUNCT
iajs-707	78	2	"	"	PUNCT
iajs-707	78	3	explicit	explicit	ADJ
iajs-707	78	4	forms	form	NOUN
iajs-707	78	5	for	for	ADP
iajs-707	78	6	certain	certain	ADJ
iajs-707	78	7	hermite	hermite	ADJ
iajs-707	78	8	approximations	approximation	NOUN
iajs-707	78	9	"	"	PUNCT
iajs-707	78	10	,	,	PUNCT
iajs-707	78	11	bit	bit	NOUN
iajs-707	78	12	13	13	NUM
iajs-707	78	13	,	,	PUNCT
iajs-707	78	14	177180	177180	NUM
iajs-707	78	15	the	the	DET
iajs-707	78	16	results	result	NOUN
iajs-707	78	17	of	of	ADP
iajs-707	78	18	solution	solution	NOUN
iajs-707	78	19	given	give	VERB
iajs-707	78	20	in	in	ADP
iajs-707	78	21	the	the	DET
iajs-707	78	22	following	follow	VERB
iajs-707	78	23	table	table	NOUN
iajs-707	78	24	:	:	PUNCT
iajs-707	78	25	مجلة	مجلة	NOUN
iajs-707	78	26	إبن	إبن	VERB
iajs-707	78	27	الھیثم	الھیثم	NOUN
iajs-707	78	28	للعلوم	للعلوم	NOUN
iajs-707	78	29	الصرفة	الصرفة	NOUN
iajs-707	78	30	و	و	PRON
iajs-707	78	31	التطبیقیة	التطبیقیة	PROPN
iajs-707	78	32	2012	2012	NUM
iajs-707	78	33	السنة	السنة	NOUN
iajs-707	78	34	25	25	NUM
iajs-707	78	35	المجلد	المجلد	NOUN
iajs-707	78	36	1	1	NUM
iajs-707	78	37	العدد	العدد	PROPN
iajs-707	78	38	ibn	ibn	PROPN
iajs-707	78	39	al	al	PROPN
iajs-707	78	40	-	-	PUNCT
iajs-707	78	41	haitham	haitham	PROPN
iajs-707	78	42	journal	journal	PROPN
iajs-707	78	43	for	for	ADP
iajs-707	78	44	pure	pure	ADJ
iajs-707	78	45	and	and	CCONJ
iajs-707	78	46	applied	apply	VERB
iajs-707	78	47	science	science	NOUN
iajs-707	78	48	no	no	NOUN
iajs-707	78	49	.	.	NOUN
iajs-707	78	50	1	1	NUM
iajs-707	78	51	vol	vol	NOUN
iajs-707	78	52	.	.	PUNCT
iajs-707	79	1	25	25	NUM
iajs-707	79	2	year	year	NOUN
iajs-707	79	3	2012	2012	NUM
iajs-707	79	4	table	table	NOUN
iajs-707	79	5	1	1	NUM
iajs-707	79	6	:	:	PUNCT
iajs-707	79	7	the	the	DET
iajs-707	79	8	re	re	X
iajs-707	79	9	sult	sult	NOUN
iajs-707	79	10	of	of	ADP
iajs-707	79	11	the	the	DET
iajs-707	79	12	methods	method	NOUN
iajs-707	79	13	for	for	ADP
iajs-707	79	14	n	n	NOUN
iajs-707	79	15	=	=	SYM
iajs-707	79	16	3	3	NUM
iajs-707	79	17	,	,	PUNCT
iajs-707	79	18	4	4	NUM
iajs-707	79	19	of	of	ADP
iajs-707	79	20	example	example	NOUN
iajs-707	79	21	p7	p7	PROPN
iajs-707	79	22	p9	p9	PROPN
iajs-707	79	23	p~	p~	PROPN
iajs-707	79	24	7	7	NUM
iajs-707	79	25	p~	p~	PROPN
iajs-707	79	26	9	9	NUM
iajs-707	79	27	c0	c0	PROPN
iajs-707	79	28	1.32667921198	1.32667921198	NUM
iajs-707	79	29	1.32668875443	1.32668875443	NUM
iajs-707	79	30	1.32667925438	1.32667925438	NUM
iajs-707	79	31	1.32668875487	1.32668875487	NUM
iajs-707	79	32	d0	d0	NOUN
iajs-707	79	33	-2.6828498769	-2.6828498769	NOUN
iajs-707	79	34	-2.6833878269	-2.6833878269	PROPN
iajs-707	79	35	-2.682849108	-2.682849108	PROPN
iajs-707	79	36	-2.6833878142	-2.6833878142	PROPN
iajs-707	80	1	x	x	X
iajs-707	81	1	p	p	VERB
iajs-707	81	2	7	7	NUM
iajs-707	81	3	p	p	NOUN
iajs-707	81	4	9	9	NUM
iajs-707	81	5	p~	p~	PROPN
iajs-707	81	6	7	7	NUM
iajs-707	81	7	p~	p~	PROPN
iajs-707	81	8	9	9	NUM
iajs-707	81	9	0	0	NUM
iajs-707	81	10	1.0000000000	1.0000000000	NUM
iajs-707	81	11	1.0000000000	1.0000000000	NUM
iajs-707	81	12	1.0000000000	1.0000000000	NUM
iajs-707	81	13	1.0000000000	1.0000000000	NUM
iajs-707	81	14	0.1	0.1	NUM
iajs-707	81	15	0.7503665788	0.7503665788	NUM
iajs-707	81	16	0.7003665774	0.7003665774	NUM
iajs-707	81	17	1.1199859943	1.1199859943	NUM
iajs-707	81	18	1.1199859943	1.1199859943	NUM
iajs-707	81	19	0.2	0.2	NUM
iajs-707	81	20	0.5291928846	0.5291928846	NUM
iajs-707	81	21	0.5291928843	0.5291928843	NUM
iajs-707	81	22	1.1889942932	1.1889942932	NUM
iajs-707	81	23	1.1889942911	1.1889942911	NUM
iajs-707	81	24	0.3	0.3	NUM
iajs-707	81	25	0.4137326433	0.4137326433	NUM
iajs-707	81	26	0.4137326475	0.4137326475	NUM
iajs-707	81	27	1.2349569243	1.2349569243	NUM
iajs-707	81	28	1.2349569603	1.2349569603	NUM
iajs-707	81	29	0.4	0.4	NUM
iajs-707	81	30	0.3299212549	0.3299212549	NUM
iajs-707	81	31	0.3299212598	0.3299212598	NUM
iajs-707	81	32	0.2685940556	0.2685940556	NUM
iajs-707	81	33	0.2685940302	0.2685940302	NUM
iajs-707	81	34	0.5	0.5	NUM
iajs-707	81	35	0.2364347965	0.2364347965	NUM
iajs-707	81	36	0.2456766932	0.2456766932	NUM
iajs-707	81	37	1.2934506588	1.2934506588	NUM
iajs-707	81	38	1.2934506322	1.2934506322	NUM
iajs-707	81	39	0.6	0.6	NUM
iajs-707	81	40	0.2172183536	0.2172183536	NUM
iajs-707	81	41	0.2172183562	0.2172183562	NUM
iajs-707	81	42	1.3134460345	1.3134460345	NUM
iajs-707	81	43	1.3134460212	1.3134460212	NUM
iajs-707	81	44	0.7	0.7	NUM
iajs-707	81	45	0.2178286933	0.2178286933	NUM
iajs-707	81	46	0.2178286938	0.2178286938	NUM
iajs-707	81	47	1.3290470766	1.3290470766	NUM
iajs-707	81	48	1.3290470733	1.3290470733	NUM
iajs-707	81	49	0.8	0.8	NUM
iajs-707	81	50	0.1469447534	0.1469447534	NUM
iajs-707	81	51	0.1469447562	0.1469447562	NUM
iajs-707	81	52	1.3416557878	1.3416557878	NUM
iajs-707	81	53	1.3416557893	1.3416557893	NUM
iajs-707	81	54	0.9	0.9	NUM
iajs-707	81	55	0.2244532838	0.2244532838	NUM
iajs-707	81	56	0.1216292831	0.1216292831	NUM
iajs-707	81	57	1.3517234577	1.3517234577	NUM
iajs-707	81	58	1.3517234588	1.3517234588	NUM
iajs-707	81	59	1	1	NUM
iajs-707	81	60	0.1009877458	0.1009877458	NUM
iajs-707	81	61	0.1009877429	0.1009877429	NUM
iajs-707	81	62	1.3600221044	1.3600221044	NUM
iajs-707	81	63	1.36002210432	1.36002210432	NUM
iajs-707	81	64	now	now	ADV
iajs-707	81	65	we	we	PRON
iajs-707	81	66	give	give	VERB
iajs-707	81	67	a	a	DET
iajs-707	81	68	comparison	comparison	NOUN
iajs-707	81	69	between	between	ADP
iajs-707	81	70	the	the	DET
iajs-707	81	71	solution	solution	NOUN
iajs-707	81	72	of	of	ADP
iajs-707	81	73	suggested	suggest	VERB
iajs-707	81	74	method	method	NOUN
iajs-707	81	75	and	and	CCONJ
iajs-707	81	76	solution	solution	NOUN
iajs-707	81	77	of	of	ADP
iajs-707	81	78	other	other	ADJ
iajs-707	81	79	methods	method	NOUN
iajs-707	81	80	in	in	ADP
iajs-707	81	81	the	the	DET
iajs-707	81	82	following	follow	VERB
iajs-707	81	83	table	table	NOUN
iajs-707	81	84	table	table	NOUN
iajs-707	81	85	2	2	NUM
iajs-707	81	86	:	:	PUNCT
iajs-707	81	87	a	a	DET
iajs-707	81	88	comparison	comparison	NOUN
iajs-707	81	89	between	between	ADP
iajs-707	81	90	p9	p9	PROPN
iajs-707	81	91	and	and	CCONJ
iajs-707	81	92	other	other	ADJ
iajs-707	81	93	methods	method	NOUN
iajs-707	81	94	of	of	ADP
iajs-707	81	95	example	example	NOUN
iajs-707	81	96	x	x	X
iajs-707	81	97	dverk	dverk	PROPN
iajs-707	81	98	,	,	PUNCT
iajs-707	81	99	tol=	tol=	PROPN
iajs-707	81	100	(	(	PUNCT
iajs-707	81	101	-6	-6	NOUN
iajs-707	81	102	)	)	PUNCT
iajs-707	81	103	y	y	PROPN
iajs-707	81	104	dgear	dgear	NOUN
iajs-707	81	105	(	(	PUNCT
iajs-707	81	106	mf	mf	X
iajs-707	81	107	=	=	SYM
iajs-707	81	108	21	21	NUM
iajs-707	81	109	)	)	PUNCT
iajs-707	81	110	,	,	PUNCT
iajs-707	81	111	tol	tol	NOUN
iajs-707	81	112	=(	=(	NOUN
iajs-707	81	113	-4	-4	SYM
iajs-707	81	114	)	)	PUNCT
iajs-707	82	1	y	y	PROPN
iajs-707	82	2	p	p	NOUN
iajs-707	82	3	9	9	NUM
iajs-707	82	4	by	by	ADP
iajs-707	82	5	using	use	VERB
iajs-707	82	6	osculatory	osculatory	NOUN
iajs-707	82	7	in	in	ADP
iajs-707	82	8	terpolation	terpolation	PROPN
iajs-707	82	9	dverk	dverk	PROPN
iajs-707	82	10	,	,	PUNCT
iajs-707	82	11	tol=	tol=	PROPN
iajs-707	82	12	(	(	PUNCT
iajs-707	82	13	-6	-6	NOUN
iajs-707	82	14	)	)	PUNCT
iajs-707	82	15	t	t	PROPN
iajs-707	82	16	*	*	PUNCT
iajs-707	82	17	dgear	dgear	NOUN
iajs-707	82	18	(	(	PUNCT
iajs-707	82	19	mf	mf	X
iajs-707	82	20	=	=	SYM
iajs-707	82	21	21	21	NUM
iajs-707	82	22	)	)	PUNCT
iajs-707	82	23	,	,	PUNCT
iajs-707	82	24	tol	tol	NOUN
iajs-707	82	25	=(	=(	NOUN
iajs-707	82	26	-4	-4	SYM
iajs-707	82	27	)	)	PUNCT
iajs-707	82	28	t	t	PROPN
iajs-707	82	29	*	*	PUNCT
iajs-707	82	30	p~	p~	PROPN
iajs-707	82	31	9	9	NUM
iajs-707	82	32	by	by	ADP
iajs-707	82	33	using	use	VERB
iajs-707	82	34	osculatory	osculatory	NOUN
iajs-707	82	35	in	in	ADP
iajs-707	82	36	terpolation	terpolation	NOUN
iajs-707	82	37	0	0	NUM
iajs-707	82	38	1.000000	1.000000	NUM
iajs-707	82	39	1.000000	1.000000	NUM
iajs-707	82	40	1.0000000000	1.0000000000	NUM
iajs-707	82	41	1.00000	1.00000	NUM
iajs-707	82	42	1.00000	1.00000	NUM
iajs-707	82	43	1.0000000000	1.0000000000	NUM
iajs-707	82	44	0.1	0.1	NUM
iajs-707	82	45	0.700367	0.700367	NUM
iajs-707	82	46	0.700468	0.700468	NUM
iajs-707	82	47	0.7003665774	0.7003665774	NUM
iajs-707	82	48	1.11999	1.11999	NUM
iajs-707	82	49	1.11994	1.11994	NUM
iajs-707	82	50	1.1199859943	1.1199859943	NUM
iajs-707	82	51	0.2	0.2	NUM
iajs-707	82	52	0.529199	0.529199	NUM
iajs-707	82	53	0.529298	0.529298	NUM
iajs-707	82	54	0.5291928843	0.5291928843	NUM
iajs-707	82	55	1.18853	1.18853	NUM
iajs-707	82	56	1.18849	1.18849	NUM
iajs-707	82	57	1.1889942911	1.1889942911	NUM
iajs-707	82	58	0.3	0.3	NUM
iajs-707	82	59	0.413737	0.413737	NUM
iajs-707	82	60	0.413775	0.413775	NUM
iajs-707	82	61	0.4137326475	0.4137326475	NUM
iajs-707	82	62	1.23477	1.23477	NUM
iajs-707	82	63	1.23475	1.23475	NUM
iajs-707	82	64	1.2349569603	1.2349569603	NUM
iajs-707	83	1	0.4	0.4	NUM
iajs-707	83	2	0.329919	0.329919	NUM
iajs-707	83	3	0.329864	0.329864	NUM
iajs-707	83	4	0.3299212598	0.3299212598	NUM
iajs-707	83	5	0.26833	0.26833	NUM
iajs-707	83	6	1.26836	1.26836	NUM
iajs-707	83	7	0.2685940302	0.2685940302	NUM
iajs-707	83	8	0.5	0.5	NUM
iajs-707	83	9	0.266492	0.266492	NUM
iajs-707	83	10	0.266349	0.266349	NUM
iajs-707	83	11	0.2456766932	0.2456766932	NUM
iajs-707	83	12	1.29373	1.29373	NUM
iajs-707	83	13	1.29379	1.29379	NUM
iajs-707	83	14	1.2934506322	1.2934506322	NUM
iajs-707	83	15	0.6	0.6	NUM
iajs-707	83	16	0.217208	0.217208	NUM
iajs-707	83	17	0.217070	0.217070	NUM
iajs-707	83	18	0.2172183562	0.2172183562	NUM
iajs-707	83	19	1.31347	1.31347	NUM
iajs-707	83	20	1.31353	1.31353	NUM
iajs-707	83	21	1.3134460212	1.3134460212	NUM
iajs-707	83	22	0.7	0.7	NUM
iajs-707	83	23	0.178209	0.178209	NUM
iajs-707	83	24	0.178076	0.178076	NUM
iajs-707	83	25	0.2178286938	0.2178286938	NUM
iajs-707	83	26	1.32909	1.32909	NUM
iajs-707	83	27	1.32914	1.32914	NUM
iajs-707	83	28	1.3290470733	1.3290470733	NUM
iajs-707	83	29	0.8	0.8	NUM
iajs-707	83	30	0.146943	0.146943	NUM
iajs-707	83	31	0.146801	0.146801	NUM
iajs-707	83	32	0.1469447562	0.1469447562	NUM
iajs-707	83	33	1.34161	1.34161	NUM
iajs-707	83	34	1.34167	1.34167	NUM
iajs-707	83	35	1.3416557893	1.3416557893	NUM
iajs-707	83	36	0.9	0.9	NUM
iajs-707	83	37	0.121629	0.121629	NUM
iajs-707	83	38	0.121495	0.121495	NUM
iajs-707	83	39	0.1216292831	0.1216292831	NUM
iajs-707	83	40	1.35175	1.35175	NUM
iajs-707	83	41	1.35180	1.35180	NUM
iajs-707	83	42	1.3517234588	1.3517234588	NUM
iajs-707	83	43	1	1	NUM
iajs-707	83	44	0.100980	0.100980	NUM
iajs-707	83	45	0.100864	0.100864	NUM
iajs-707	83	46	0.1009877429	0.1009877429	NUM
iajs-707	83	47	1.36002	1.36002	NUM
iajs-707	83	48	1.36006	1.36006	NUM
iajs-707	83	49	1.36002210432	1.36002210432	NUM
iajs-707	83	50	مجلة	مجلة	NOUN
iajs-707	83	51	إبن	إبن	VERB
iajs-707	83	52	الھیثم	الھیثم	NOUN
iajs-707	83	53	للعلوم	للعلوم	NOUN
iajs-707	83	54	الصرفة	الصرفة	NOUN
iajs-707	83	55	و	و	PRON
iajs-707	83	56	التطبیقیة	التطبیقیة	PROPN
iajs-707	83	57	2012	2012	NUM
iajs-707	83	58	السنة	السنة	NOUN
iajs-707	84	1	25	25	NUM
iajs-707	84	2	المجلد	المجلد	NOUN
iajs-707	84	3	1	1	NUM
iajs-707	84	4	العدد	العدد	PROPN
iajs-707	84	5	ibn	ibn	PROPN
iajs-707	84	6	al	al	PROPN
iajs-707	84	7	-	-	PUNCT
iajs-707	84	8	haitham	haitham	PROPN
iajs-707	84	9	journal	journal	PROPN
iajs-707	84	10	for	for	ADP
iajs-707	84	11	pure	pure	ADJ
iajs-707	84	12	and	and	CCONJ
iajs-707	84	13	applied	apply	VERB
iajs-707	84	14	science	science	NOUN
iajs-707	84	15	no	no	NOUN
iajs-707	84	16	.	.	NOUN
iajs-707	84	17	1	1	NUM
iajs-707	84	18	vol	vol	NOUN
iajs-707	84	19	.	.	PUNCT
iajs-707	85	1	25	25	NUM
iajs-707	85	2	year	year	NOUN
iajs-707	85	3	2012	2012	NUM
iajs-707	85	4	حل	حل	PROPN
iajs-707	85	5	بعض	بعض	NOUN
iajs-707	85	6	تطبیقات	تطبیقات	NOUN
iajs-707	85	7	منظومة	منظومة	INTJ
iajs-707	86	1	من	من	DET
iajs-707	86	2	مسائل	مسائل	NOUN
iajs-707	86	3	القیم	القیم	PROPN
iajs-707	86	4	االبتدائیة	االبتدائیة	PROPN
iajs-707	86	5	االعتیادیة	االعتیادیة	NOUN
iajs-707	86	6	باستخدام	باستخدام	PROPN
iajs-707	86	7	تقنیة	تقنیة	PROPN
iajs-707	86	8	االندراج	االندراج	PROPN
iajs-707	86	9	التماسي	التماسي	PROPN
iajs-707	86	10	خالد	خالد	PROPN
iajs-707	87	1	مندیل	مندیل	PROPN
iajs-707	87	2	محمد	محمد	ADJ
iajs-707	87	3	اآلبراھیمي	اآلبراھیمي	PROPN
iajs-707	87	4	جامعة	جامعة	PROPN
iajs-707	87	5	القادسیةكلیة	القادسیةكلیة	PROPN
iajs-707	87	6	التربیة	التربیة	PROPN
iajs-707	87	7	-قسم	-قسم	PUNCT
iajs-707	87	8	الریاضیات	الریاضیات	VERB
iajs-707	87	9	2011	2011	NUM
iajs-707	87	10	كانون	كانون	NOUN
iajs-707	87	11	االول	االول	VERB
iajs-707	87	12	7	7	NUM
iajs-707	87	13	:	:	PUNCT
iajs-707	87	14	قبل	قبل	NOUN
iajs-707	87	15	البحث	البحث	NOUN
iajs-707	87	16	في	في	PRON
iajs-707	87	17	،	،	PROPN
iajs-707	87	18	2011	2011	NUM
iajs-707	87	19	أیار25	أیار25	NOUN
iajs-707	87	20	:	:	PUNCT
iajs-707	87	21	استلم	استلم	PROPN
iajs-707	87	22	البحث	البحث	VERB
iajs-707	87	23	في	في	ADP
iajs-707	87	24	الخالصة	الخالصة	PROPN
iajs-707	87	25	الهــدف	الهــدف	PROPN
iajs-707	88	1	مـــن	مـــن	PROPN
iajs-707	89	1	هــذا	هــذا	PROPN
iajs-707	89	2	البحـــث	البحـــث	PROPN
iajs-707	89	3	هــو	هــو	PROPN
iajs-707	89	4	إیجـــاد	إیجـــاد	NOUN
iajs-707	89	5	طریقــة	طریقــة	PROPN
iajs-707	89	6	جدیـــدة	جدیـــدة	PROPN
iajs-707	89	7	لحــل	لحــل	NOUN
iajs-707	89	8	منظومـــة	منظومـــة	ADV
iajs-707	89	9	مــن	مــن	PROPN
iajs-707	89	10	مـــسائل	مـــسائل	PROPN
iajs-707	89	11	القــیم	القــیم	PROPN
iajs-707	89	12	االبتدائیـــة	االبتدائیـــة	PROPN
iajs-707	89	13	المعادلةالتفاضـــلیة	المعادلةالتفاضـــلیة	PROPN
iajs-707	89	14	إذ	إذ	PROPN
iajs-707	89	15	استعملت	استعملت	PROPN
iajs-707	90	1	تقنیـة	تقنیـة	PROPN
iajs-707	90	2	التقریـب	التقریـب	PROPN
iajs-707	90	3	ذا	ذا	PROPN
iajs-707	90	4	االنـدراج	االنـدراج	PROPN
iajs-707	90	5	التماسـي	التماسـي	PROPN
iajs-707	90	6	ذي	ذي	PROPN
iajs-707	90	7	النقطتـین	النقطتـین	PROPN
iajs-707	90	8	التـي	التـي	PROPN
iajs-707	90	9	تتفـق	تتفـق	PROPN
iajs-707	90	10	فیهـا	فیهـا	PROPN
iajs-707	90	11	الدالـة	الدالـة	VERB
iajs-707	90	12	وعـدد	وعـدد	PROPN
iajs-707	90	13	متـساو	متـساو	PROPN
iajs-707	90	14	مـن	مـن	PROPN
iajs-707	90	15	المـشتقات	المـشتقات	PROPN
iajs-707	90	16	االعتیادیة	االعتیادیة	NOUN
iajs-707	90	17	،	،	PROPN
iajs-707	91	1	ة	ة	PRON
iajs-707	91	2	عنـد	عنـد	PROPN
iajs-707	91	3	نقطتـي	نقطتـي	PROPN
iajs-707	91	4	نهایــة	نهایــة	NOUN
iajs-707	91	5	المـدة	المـدة	ADV
iajs-707	91	6	ة	ة	ADP
iajs-707	91	7	مـع	مـع	PROPN
iajs-707	91	8	الطرائــق	الطرائــق	PROPN
iajs-707	91	9	التقلیدیـة	التقلیدیـة	PROPN
iajs-707	91	10	وقـد	وقـد	PROPN
iajs-707	91	11	ظهــرت	ظهــرت	PROPN
iajs-707	91	12	]	]	PUNCT
iajs-707	91	13	0,1	0,1	NUM
iajs-707	91	14	[	[	PUNCT
iajs-707	91	15	المعرفـ	المعرفـ	X
iajs-707	91	16	مـع	مـع	PROPN
iajs-707	91	17	البیانــات	البیانــات	PROPN
iajs-707	91	18	المعطـاة	المعطـاة	PROPN
iajs-707	91	19	وقورنـت	وقورنـت	PROPN
iajs-707	91	20	الطریقــة	الطریقــة	PROPN
iajs-707	91	21	المقترحـ	المقترحـ	PROPN
iajs-707	91	22	.و	.و	PUNCT
iajs-707	92	1	أكثر	أكثر	PROPN
iajs-707	92	2	دقة	دقة	VERB
iajs-707	92	3	من	من	PRON
iajs-707	92	4	الطرائق	الطرائق	NOUN
iajs-707	92	5	التقلیدیةالنتائج	التقلیدیةالنتائج	NOUN
iajs-707	92	6	بأن	بأن	VERB
iajs-707	92	7	الطریقة	الطریقة	PROPN
iajs-707	92	8	المقترحة	المقترحة	PROPN
iajs-707	92	9	ذو	ذو	PROPN
iajs-707	92	10	تقارب	تقارب	PROPN
iajs-707	93	1	أسرع	أسرع	PROPN
iajs-707	93	2	االندراج	االندراج	PROPN
iajs-707	93	3	التماسي	التماسي	PROPN
iajs-707	93	4	،	،	PROPN
iajs-707	93	5	التقریب	التقریب	PROPN
iajs-707	93	6	،	،	X
iajs-707	93	7	مسائل	مسائل	PROPN
iajs-707	93	8	القیم	القیم	PROPN
iajs-707	93	9	االبتدائیة	االبتدائیة	PROPN
iajs-707	93	10	:	:	PUNCT
iajs-707	93	11	كلمات	كلمات	ADJ
iajs-707	93	12	مفتاحیة	مفتاحیة	ADJ
iajs-707	93	13	مجلة	مجلة	NOUN
iajs-707	93	14	إبن	إبن	NOUN
iajs-707	93	15	الھیثم	الھیثم	NOUN
iajs-707	93	16	للعلوم	للعلوم	NOUN
iajs-707	93	17	الصرفة	الصرفة	NOUN
iajs-707	93	18	و	و	PRON
iajs-707	93	19	التطبیقیة	التطبیقیة	PROPN
iajs-707	93	20	2012	2012	NUM
iajs-707	93	21	السنة	السنة	NOUN
iajs-707	93	22	25	25	NUM
iajs-707	93	23	المجلد	المجلد	NOUN
iajs-707	93	24	1	1	NUM
iajs-707	93	25	العدد	العدد	PROPN
iajs-707	93	26	ibn	ibn	PROPN
iajs-707	93	27	al	al	PROPN
iajs-707	93	28	-	-	PUNCT
iajs-707	93	29	haitham	haitham	PROPN
iajs-707	93	30	journal	journal	PROPN
iajs-707	93	31	for	for	ADP
iajs-707	93	32	pure	pure	ADJ
iajs-707	93	33	and	and	CCONJ
iajs-707	93	34	applied	apply	VERB
iajs-707	93	35	science	science	NOUN
iajs-707	93	36	no	no	NOUN
iajs-707	93	37	.	.	NOUN
iajs-707	93	38	1	1	NUM
iajs-707	93	39	vol	vol	NOUN
iajs-707	93	40	.	.	PUNCT
iajs-707	94	1	25	25	NUM
iajs-707	94	2	year	year	NOUN
iajs-707	94	3	2012	2012	NUM