id	sid	tid	token	lemma	pos
cuesj-43	1	1	27	27	NUM
cuesj-43	1	2	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	1	3	cuesj	cuesj	NOUN
cuesj-43	1	4	2019	2019	NUM
cuesj-43	1	5	,	,	PUNCT
cuesj-43	1	6	3	3	NUM
cuesj-43	1	7	(	(	PUNCT
cuesj-43	1	8	1	1	NUM
cuesj-43	1	9	):	):	PUNCT
cuesj-43	1	10	27	27	NUM
cuesj-43	1	11	-	-	SYM
cuesj-43	1	12	33	33	NUM
cuesj-43	1	13	research	research	NOUN
cuesj-43	1	14	article	article	NOUN
cuesj-43	1	15	cooperating	cooperate	VERB
cuesj-43	1	16	newton	newton	PROPN
cuesj-43	1	17	’s	’s	PART
cuesj-43	1	18	method	method	NOUN
cuesj-43	1	19	with	with	ADP
cuesj-43	1	20	series	series	NOUN
cuesj-43	1	21	solution	solution	NOUN
cuesj-43	1	22	method	method	NOUN
cuesj-43	1	23	for	for	ADP
cuesj-43	1	24	solving	solve	VERB
cuesj-43	1	25	system	system	NOUN
cuesj-43	1	26	of	of	ADP
cuesj-43	1	27	linear	linear	PROPN
cuesj-43	1	28	mixed	mixed	PROPN
cuesj-43	1	29	volterra	volterra	NOUN
cuesj-43	1	30	-	-	PUNCT
cuesj-43	1	31	fredholm	fredholm	NOUN
cuesj-43	1	32	integral	integral	ADJ
cuesj-43	1	33	equation	equation	NOUN
cuesj-43	1	34	of	of	ADP
cuesj-43	1	35	the	the	DET
cuesj-43	1	36	second	second	ADJ
cuesj-43	1	37	kind	kind	NOUN
cuesj-43	1	38	talaat	talaat	PROPN
cuesj-43	1	39	i.	i.	PROPN
cuesj-43	1	40	hasan	hasan	PROPN
cuesj-43	1	41	*	*	PROPN
cuesj-43	1	42	department	department	PROPN
cuesj-43	1	43	of	of	ADP
cuesj-43	1	44	mathematics	mathematics	PROPN
cuesj-43	1	45	,	,	PUNCT
cuesj-43	1	46	college	college	NOUN
cuesj-43	1	47	of	of	ADP
cuesj-43	1	48	basic	basic	ADJ
cuesj-43	1	49	education	education	NOUN
cuesj-43	1	50	,	,	PUNCT
cuesj-43	1	51	salahaddin	salahaddin	VERB
cuesj-43	1	52	university	university	NOUN
cuesj-43	1	53	,	,	PUNCT
cuesj-43	1	54	erbil	erbil	PROPN
cuesj-43	1	55	,	,	PUNCT
cuesj-43	1	56	iraq	iraq	PROPN
cuesj-43	1	57	abstract	abstract	NOUN
cuesj-43	1	58	in	in	ADP
cuesj-43	1	59	this	this	DET
cuesj-43	1	60	paper	paper	NOUN
cuesj-43	1	61	,	,	PUNCT
cuesj-43	1	62	for	for	ADP
cuesj-43	1	63	the	the	DET
cuesj-43	1	64	1st	1st	ADJ
cuesj-43	1	65	 	 	SPACE
cuesj-43	1	66	time	time	NOUN
cuesj-43	1	67	,	,	PUNCT
cuesj-43	1	68	we	we	PRON
cuesj-43	1	69	use	use	VERB
cuesj-43	1	70	newton	newton	PROPN
cuesj-43	1	71	’s	’s	PART
cuesj-43	1	72	method	method	NOUN
cuesj-43	1	73	with	with	ADP
cuesj-43	1	74	series	series	NOUN
cuesj-43	1	75	solution	solution	NOUN
cuesj-43	1	76	method	method	NOUN
cuesj-43	1	77	(	(	PUNCT
cuesj-43	1	78	ssm	ssm	PROPN
cuesj-43	1	79	)	)	PUNCT
cuesj-43	1	80	for	for	ADP
cuesj-43	1	81	solving	solve	VERB
cuesj-43	1	82	system	system	NOUN
cuesj-43	1	83	of	of	ADP
cuesj-43	1	84	linear	linear	ADJ
cuesj-43	1	85	mixed	mixed	ADJ
cuesj-43	1	86	volterrafredholm	volterrafredholm	NOUN
cuesj-43	1	87	integral	integral	ADJ
cuesj-43	1	88	equations	equation	NOUN
cuesj-43	1	89	of	of	ADP
cuesj-43	1	90	the	the	DET
cuesj-43	1	91	second	second	ADJ
cuesj-43	1	92	kind	kind	NOUN
cuesj-43	1	93	(	(	PUNCT
cuesj-43	1	94	slmvfie-2	slmvfie-2	NUM
cuesj-43	1	95	)	)	PUNCT
cuesj-43	1	96	.	.	PUNCT
cuesj-43	2	1	in	in	ADP
cuesj-43	2	2	this	this	DET
cuesj-43	2	3	work	work	NOUN
cuesj-43	2	4	,	,	PUNCT
cuesj-43	2	5	we	we	PRON
cuesj-43	2	6	use	use	VERB
cuesj-43	2	7	a	a	DET
cuesj-43	2	8	new	new	ADJ
cuesj-43	2	9	technique	technique	NOUN
cuesj-43	2	10	for	for	ADP
cuesj-43	2	11	studying	study	VERB
cuesj-43	2	12	the	the	DET
cuesj-43	2	13	numerical	numerical	ADJ
cuesj-43	2	14	solutions	solution	NOUN
cuesj-43	2	15	for	for	ADP
cuesj-43	2	16	slmvfie-2	slmvfie-2	NUM
cuesj-43	2	17	which	which	PRON
cuesj-43	2	18	is	be	AUX
cuesj-43	2	19	newton	newton	PROPN
cuesj-43	2	20	’s	’s	PART
cuesj-43	2	21	method	method	NOUN
cuesj-43	2	22	with	with	ADP
cuesj-43	2	23	ssm	ssm	PROPN
cuesj-43	2	24	,	,	PUNCT
cuesj-43	2	25	first	first	ADV
cuesj-43	2	26	solving	solve	VERB
cuesj-43	2	27	this	this	DET
cuesj-43	2	28	system	system	NOUN
cuesj-43	2	29	using	use	VERB
cuesj-43	2	30	ssm	ssm	PROPN
cuesj-43	2	31	and	and	CCONJ
cuesj-43	2	32	after	after	ADP
cuesj-43	2	33	that	that	DET
cuesj-43	2	34	cooperation	cooperation	PROPN
cuesj-43	2	35	newton	newton	PROPN
cuesj-43	2	36	’s	’s	PART
cuesj-43	2	37	method	method	NOUN
cuesj-43	2	38	with	with	ADP
cuesj-43	2	39	ssm	ssm	PROPN
cuesj-43	2	40	,	,	PUNCT
cuesj-43	2	41	suggesting	suggest	VERB
cuesj-43	2	42	an	an	DET
cuesj-43	2	43	algorithm	algorithm	NOUN
cuesj-43	2	44	for	for	ADP
cuesj-43	2	45	the	the	DET
cuesj-43	2	46	technique	technique	NOUN
cuesj-43	2	47	.	.	PUNCT
cuesj-43	3	1	the	the	DET
cuesj-43	3	2	new	new	ADJ
cuesj-43	3	3	results	result	NOUN
cuesj-43	3	4	are	be	AUX
cuesj-43	3	5	achieved	achieve	VERB
cuesj-43	3	6	and	and	CCONJ
cuesj-43	3	7	some	some	DET
cuesj-43	3	8	new	new	ADJ
cuesj-43	3	9	theorems	theorem	NOUN
cuesj-43	3	10	have	have	AUX
cuesj-43	3	11	proved	prove	VERB
cuesj-43	3	12	for	for	ADP
cuesj-43	3	13	convergence	convergence	NOUN
cuesj-43	3	14	of	of	ADP
cuesj-43	3	15	the	the	DET
cuesj-43	3	16	method	method	NOUN
cuesj-43	3	17	,	,	PUNCT
cuesj-43	3	18	several	several	ADJ
cuesj-43	3	19	numerical	numerical	ADJ
cuesj-43	3	20	examples	example	NOUN
cuesj-43	3	21	are	be	AUX
cuesj-43	3	22	tested	test	VERB
cuesj-43	3	23	for	for	ADP
cuesj-43	3	24	illustrating	illustrate	VERB
cuesj-43	3	25	the	the	DET
cuesj-43	3	26	usefulness	usefulness	NOUN
cuesj-43	3	27	of	of	ADP
cuesj-43	3	28	the	the	DET
cuesj-43	3	29	technique	technique	NOUN
cuesj-43	3	30	;	;	PUNCT
cuesj-43	3	31	the	the	DET
cuesj-43	3	32	numerical	numerical	ADJ
cuesj-43	3	33	results	result	NOUN
cuesj-43	3	34	are	be	AUX
cuesj-43	3	35	obtained	obtain	VERB
cuesj-43	3	36	and	and	CCONJ
cuesj-43	3	37	compared	compare	VERB
cuesj-43	3	38	with	with	ADP
cuesj-43	3	39	the	the	DET
cuesj-43	3	40	exact	exact	ADJ
cuesj-43	3	41	solution	solution	NOUN
cuesj-43	3	42	,	,	PUNCT
cuesj-43	3	43	computing	compute	VERB
cuesj-43	3	44	the	the	DET
cuesj-43	3	45	least	least	ADJ
cuesj-43	3	46	square	square	ADJ
cuesj-43	3	47	error	error	NOUN
cuesj-43	3	48	,	,	PUNCT
cuesj-43	3	49	and	and	CCONJ
cuesj-43	3	50	running	running	NOUN
cuesj-43	3	51	times	time	NOUN
cuesj-43	3	52	which	which	PRON
cuesj-43	3	53	are	be	AUX
cuesj-43	3	54	criterion	criterion	NOUN
cuesj-43	3	55	of	of	ADP
cuesj-43	3	56	discussion	discussion	NOUN
cuesj-43	3	57	.	.	PUNCT
cuesj-43	4	1	for	for	ADP
cuesj-43	4	2	programming	program	VERB
cuesj-43	4	3	the	the	DET
cuesj-43	4	4	technique	technique	NOUN
cuesj-43	4	5	,	,	PUNCT
cuesj-43	4	6	we	we	PRON
cuesj-43	4	7	use	use	VERB
cuesj-43	4	8	general	general	ADJ
cuesj-43	4	9	matlab	matlab	PROPN
cuesj-43	4	10	program	program	NOUN
cuesj-43	4	11	.	.	PUNCT
cuesj-43	5	1	keywords	keyword	NOUN
cuesj-43	5	2	:	:	PUNCT
cuesj-43	5	3	newton	newton	PROPN
cuesj-43	5	4	’s	’s	PART
cuesj-43	5	5	method	method	NOUN
cuesj-43	5	6	,	,	PUNCT
cuesj-43	5	7	series	series	NOUN
cuesj-43	5	8	solution	solution	NOUN
cuesj-43	5	9	method	method	NOUN
cuesj-43	5	10	,	,	PUNCT
cuesj-43	5	11	system	system	NOUN
cuesj-43	5	12	of	of	ADP
cuesj-43	5	13	linear	linear	PROPN
cuesj-43	5	14	mixed	mixed	PROPN
cuesj-43	5	15	volterra	volterra	NOUN
cuesj-43	5	16	-	-	PUNCT
cuesj-43	5	17	fredholm	fredholm	NOUN
cuesj-43	5	18	integral	integral	ADJ
cuesj-43	5	19	equations	equation	NOUN
cuesj-43	5	20	of	of	ADP
cuesj-43	5	21	the	the	DET
cuesj-43	5	22	second	second	ADJ
cuesj-43	5	23	kind	kind	NOUN
cuesj-43	5	24	,	,	PUNCT
cuesj-43	5	25	taylor	taylor	PROPN
cuesj-43	5	26	series	series	PROPN
cuesj-43	5	27	introduction	introduction	NOUN
cuesj-43	5	28	integral	integral	ADJ
cuesj-43	5	29	equations	equation	NOUN
cuesj-43	5	30	have	have	AUX
cuesj-43	5	31	been	be	AUX
cuesj-43	5	32	one	one	NUM
cuesj-43	5	33	of	of	ADP
cuesj-43	5	34	the	the	DET
cuesj-43	5	35	significant	significant	ADJ
cuesj-43	5	36	and	and	CCONJ
cuesj-43	5	37	principal	principal	ADJ
cuesj-43	5	38	instruments	instrument	NOUN
cuesj-43	5	39	in	in	ADP
cuesj-43	5	40	various	various	ADJ
cuesj-43	5	41	areas	area	NOUN
cuesj-43	5	42	of	of	ADP
cuesj-43	5	43	sciences	science	NOUN
cuesj-43	5	44	such	such	ADJ
cuesj-43	5	45	as	as	ADP
cuesj-43	5	46	applied	apply	VERB
cuesj-43	5	47	mathematics	mathematics	NOUN
cuesj-43	5	48	physics	physics	NOUN
cuesj-43	5	49	,	,	PUNCT
cuesj-43	5	50	biology	biology	NOUN
cuesj-43	5	51	,	,	PUNCT
cuesj-43	5	52	and	and	CCONJ
cuesj-43	5	53	engineering	engineering	NOUN
cuesj-43	5	54	.	.	PUNCT
cuesj-43	6	1	on	on	ADP
cuesj-43	6	2	the	the	DET
cuesj-43	6	3	other	other	ADJ
cuesj-43	6	4	hand	hand	NOUN
cuesj-43	6	5	,	,	PUNCT
cuesj-43	6	6	it	it	PRON
cuesj-43	6	7	has	have	VERB
cuesj-43	6	8	many	many	ADJ
cuesj-43	6	9	applications	application	NOUN
cuesj-43	6	10	in	in	ADP
cuesj-43	6	11	different	different	ADJ
cuesj-43	6	12	areas	area	NOUN
cuesj-43	6	13	of	of	ADP
cuesj-43	6	14	science	science	NOUN
cuesj-43	6	15	,	,	PUNCT
cuesj-43	6	16	involving	involve	VERB
cuesj-43	6	17	potential	potential	ADJ
cuesj-43	6	18	theory	theory	NOUN
cuesj-43	6	19	,	,	PUNCT
cuesj-43	6	20	electricity	electricity	NOUN
cuesj-43	6	21	,	,	PUNCT
cuesj-43	6	22	and	and	CCONJ
cuesj-43	6	23	quantum	quantum	ADJ
cuesj-43	6	24	mechanics.[1,2	mechanics.[1,2	NOUN
cuesj-43	6	25	]	]	PUNCT
cuesj-43	6	26	in	in	ADP
cuesj-43	6	27	the	the	DET
cuesj-43	6	28	past	past	ADJ
cuesj-43	6	29	20	20	NUM
cuesj-43	6	30	years	year	NOUN
cuesj-43	6	31	ago	ago	ADV
cuesj-43	6	32	,	,	PUNCT
cuesj-43	6	33	many	many	ADJ
cuesj-43	6	34	kinds	kind	NOUN
cuesj-43	6	35	of	of	ADP
cuesj-43	6	36	problems	problem	NOUN
cuesj-43	6	37	in	in	ADP
cuesj-43	6	38	integral	integral	ADJ
cuesj-43	6	39	equation	equation	NOUN
cuesj-43	6	40	making	make	VERB
cuesj-43	6	41	from	from	ADP
cuesj-43	6	42	various	various	ADJ
cuesj-43	6	43	phenomena	phenomenon	NOUN
cuesj-43	6	44	in	in	ADP
cuesj-43	6	45	applied	apply	VERB
cuesj-43	6	46	mathematical	mathematical	ADJ
cuesj-43	6	47	physics	physics	NOUN
cuesj-43	6	48	.	.	PUNCT
cuesj-43	7	1	the	the	DET
cuesj-43	7	2	mixed	mixed	PROPN
cuesj-43	7	3	volterra	volterra	NOUN
cuesj-43	7	4	-	-	PUNCT
cuesj-43	7	5	fredholm	fredholm	NOUN
cuesj-43	7	6	integral	integral	ADJ
cuesj-43	7	7	equations	equation	NOUN
cuesj-43	7	8	can	can	AUX
cuesj-43	7	9	be	be	AUX
cuesj-43	7	10	constructed	construct	VERB
cuesj-43	7	11	form	form	NOUN
cuesj-43	7	12	ordinary	ordinary	ADJ
cuesj-43	7	13	differential	differential	ADJ
cuesj-43	7	14	equations	equation	NOUN
cuesj-43	7	15	with	with	ADP
cuesj-43	7	16	changed	change	VERB
cuesj-43	7	17	argument,[3	argument,[3	NUM
cuesj-43	7	18	-	-	SYM
cuesj-43	7	19	5	5	NUM
cuesj-43	7	20	]	]	PUNCT
cuesj-43	7	21	which	which	PRON
cuesj-43	7	22	arising	arise	VERB
cuesj-43	7	23	from	from	ADP
cuesj-43	7	24	the	the	DET
cuesj-43	7	25	theory	theory	NOUN
cuesj-43	7	26	of	of	ADP
cuesj-43	7	27	parabolic	parabolic	ADJ
cuesj-43	7	28	boundary	boundary	ADJ
cuesj-43	7	29	value	value	NOUN
cuesj-43	7	30	problems	problem	NOUN
cuesj-43	7	31	.	.	PUNCT
cuesj-43	8	1	in	in	ADP
cuesj-43	8	2	addition	addition	NOUN
cuesj-43	8	3	,	,	PUNCT
cuesj-43	8	4	this	this	DET
cuesj-43	8	5	type	type	NOUN
cuesj-43	8	6	of	of	ADP
cuesj-43	8	7	problems	problem	NOUN
cuesj-43	8	8	appears	appear	VERB
cuesj-43	8	9	in	in	ADP
cuesj-43	8	10	various	various	ADJ
cuesj-43	8	11	physical	physical	ADJ
cuesj-43	8	12	and	and	CCONJ
cuesj-43	8	13	biological	biological	ADJ
cuesj-43	8	14	problems.[6,7	problems.[6,7	PROPN
cuesj-43	8	15	]	]	PUNCT
cuesj-43	8	16	recently	recently	ADV
cuesj-43	8	17	,	,	PUNCT
cuesj-43	8	18	many	many	ADJ
cuesj-43	8	19	kinds	kind	NOUN
cuesj-43	8	20	of	of	ADP
cuesj-43	8	21	integral	integral	ADJ
cuesj-43	8	22	equations	equation	NOUN
cuesj-43	8	23	constructed	construct	VERB
cuesj-43	8	24	and	and	CCONJ
cuesj-43	8	25	reformulated	reformulate	VERB
cuesj-43	8	26	;	;	PUNCT
cuesj-43	8	27	the	the	DET
cuesj-43	8	28	approximating	approximate	VERB
cuesj-43	8	29	methods	method	NOUN
cuesj-43	8	30	take	take	VERB
cuesj-43	8	31	an	an	DET
cuesj-43	8	32	important	important	ADJ
cuesj-43	8	33	role	role	NOUN
cuesj-43	8	34	for	for	ADP
cuesj-43	8	35	finding	find	VERB
cuesj-43	8	36	the	the	DET
cuesj-43	8	37	numerical	numerical	ADJ
cuesj-43	8	38	solution	solution	NOUN
cuesj-43	8	39	for	for	ADP
cuesj-43	8	40	these	these	DET
cuesj-43	8	41	classes	class	NOUN
cuesj-43	8	42	of	of	ADP
cuesj-43	8	43	problems	problem	NOUN
cuesj-43	8	44	in	in	ADP
cuesj-43	8	45	integral	integral	ADJ
cuesj-43	8	46	equations	equation	NOUN
cuesj-43	8	47	.	.	PUNCT
cuesj-43	9	1	it	it	PRON
cuesj-43	9	2	has	have	VERB
cuesj-43	9	3	many	many	ADJ
cuesj-43	9	4	advantages	advantage	NOUN
cuesj-43	9	5	witnessed	witness	VERB
cuesj-43	9	6	by	by	ADP
cuesj-43	9	7	the	the	DET
cuesj-43	9	8	increasing	increase	VERB
cuesj-43	9	9	frequency	frequency	NOUN
cuesj-43	9	10	of	of	ADP
cuesj-43	9	11	the	the	DET
cuesj-43	9	12	integral	integral	ADJ
cuesj-43	9	13	equations	equation	NOUN
cuesj-43	9	14	in	in	ADP
cuesj-43	9	15	literature	literature	NOUN
cuesj-43	9	16	and	and	CCONJ
cuesj-43	9	17	in	in	ADP
cuesj-43	9	18	many	many	ADJ
cuesj-43	9	19	areas	area	NOUN
cuesj-43	9	20	,	,	PUNCT
cuesj-43	9	21	because	because	SCONJ
cuesj-43	9	22	some	some	DET
cuesj-43	9	23	problems	problem	NOUN
cuesj-43	9	24	have	have	VERB
cuesj-43	9	25	their	their	PRON
cuesj-43	9	26	mathematical	mathematical	ADJ
cuesj-43	9	27	representation	representation	NOUN
cuesj-43	9	28	appear	appear	VERB
cuesj-43	9	29	directly.[8,9	directly.[8,9	X
cuesj-43	9	30	]	]	X
cuesj-43	9	31	then	then	ADV
cuesj-43	9	32	,	,	PUNCT
cuesj-43	9	33	for	for	ADP
cuesj-43	9	34	the	the	DET
cuesj-43	9	35	reasons	reason	NOUN
cuesj-43	9	36	,	,	PUNCT
cuesj-43	9	37	many	many	ADJ
cuesj-43	9	38	scientists	scientist	NOUN
cuesj-43	9	39	applied	apply	VERB
cuesj-43	9	40	different	different	ADJ
cuesj-43	9	41	techniques	technique	NOUN
cuesj-43	9	42	for	for	ADP
cuesj-43	9	43	finding	find	VERB
cuesj-43	9	44	numerical	numerical	ADJ
cuesj-43	9	45	solution	solution	NOUN
cuesj-43	9	46	of	of	ADP
cuesj-43	9	47	integral	integral	ADJ
cuesj-43	9	48	equations	equation	NOUN
cuesj-43	9	49	,	,	PUNCT
cuesj-43	9	50	maleknejad	maleknejad	PROPN
cuesj-43	9	51	,	,	PUNCT
cuesj-43	9	52	in	in	ADP
cuesj-43	9	53	2006	2006	NUM
cuesj-43	9	54	,	,	PUNCT
cuesj-43	9	55	solved	solve	VERB
cuesj-43	9	56	system	system	NOUN
cuesj-43	9	57	of	of	ADP
cuesj-43	9	58	volterra	volterra	NOUN
cuesj-43	9	59	-	-	PUNCT
cuesj-43	9	60	fredholm	fredholm	NOUN
cuesj-43	9	61	integral	integral	ADJ
cuesj-43	9	62	equations	equation	NOUN
cuesj-43	9	63	using	use	VERB
cuesj-43	9	64	computational	computational	ADJ
cuesj-43	9	65	method	method	NOUN
cuesj-43	9	66	;	;	PUNCT
cuesj-43	9	67	chen	chen	PROPN
cuesj-43	9	68	,	,	PUNCT
cuesj-43	9	69	in	in	ADP
cuesj-43	9	70	2013	2013	NUM
cuesj-43	9	71	,	,	PUNCT
cuesj-43	9	72	studied	study	VERB
cuesj-43	9	73	the	the	DET
cuesj-43	9	74	approximate	approximate	ADJ
cuesj-43	9	75	solution	solution	NOUN
cuesj-43	9	76	for	for	ADP
cuesj-43	9	77	mixed	mixed	ADJ
cuesj-43	9	78	linear	linear	PROPN
cuesj-43	9	79	volterra	volterra	NOUN
cuesj-43	9	80	-	-	PUNCT
cuesj-43	9	81	fredholm	fredholm	NOUN
cuesj-43	9	82	integral	integral	ADJ
cuesj-43	9	83	equation	equation	NOUN
cuesj-43	9	84	.	.	PUNCT
cuesj-43	10	1	wazwaz	wazwaz	NOUN
cuesj-43	10	2	,	,	PUNCT
cuesj-43	10	3	in	in	ADP
cuesj-43	10	4	2011	2011	NUM
cuesj-43	10	5	,	,	PUNCT
cuesj-43	10	6	solved	solve	VERB
cuesj-43	10	7	volterra	volterra	NOUN
cuesj-43	10	8	integral	integral	ADJ
cuesj-43	10	9	equation	equation	NOUN
cuesj-43	10	10	of	of	ADP
cuesj-43	10	11	the	the	DET
cuesj-43	10	12	second	second	ADJ
cuesj-43	10	13	kind	kind	NOUN
cuesj-43	10	14	using	use	VERB
cuesj-43	10	15	series	series	NOUN
cuesj-43	10	16	solution	solution	NOUN
cuesj-43	10	17	method	method	NOUN
cuesj-43	10	18	(	(	PUNCT
cuesj-43	10	19	ssm	ssm	PROPN
cuesj-43	10	20	)	)	PUNCT
cuesj-43	10	21	.	.	PUNCT
cuesj-43	11	1	young	young	ADJ
cuesj-43	11	2	,	,	PUNCT
cuesj-43	11	3	in	in	ADP
cuesj-43	11	4	2015	2015	NUM
cuesj-43	11	5	,	,	PUNCT
cuesj-43	11	6	used	use	VERB
cuesj-43	11	7	newton	newton	PROPN
cuesj-43	11	8	’s	’s	PART
cuesj-43	11	9	raphson	raphson	NOUN
cuesj-43	11	10	for	for	ADP
cuesj-43	11	11	finding	find	VERB
cuesj-43	11	12	the	the	DET
cuesj-43	11	13	approximate	approximate	ADJ
cuesj-43	11	14	solution	solution	NOUN
cuesj-43	11	15	of	of	ADP
cuesj-43	11	16	non	non	ADJ
cuesj-43	11	17	-	-	ADJ
cuesj-43	11	18	linear	linear	ADJ
cuesj-43	11	19	equations	equation	NOUN
cuesj-43	11	20	.	.	PUNCT
cuesj-43	12	1	hassan	hassan	PROPN
cuesj-43	12	2	,	,	PUNCT
cuesj-43	12	3	in	in	ADP
cuesj-43	12	4	2016	2016	NUM
cuesj-43	12	5	,	,	PUNCT
cuesj-43	12	6	found	find	VERB
cuesj-43	12	7	numerical	numerical	ADJ
cuesj-43	12	8	solution	solution	NOUN
cuesj-43	12	9	of	of	ADP
cuesj-43	12	10	linear	linear	PROPN
cuesj-43	12	11	system	system	NOUN
cuesj-43	12	12	volterra	volterra	NOUN
cuesj-43	12	13	-	-	PUNCT
cuesj-43	12	14	fredholm	fredholm	NOUN
cuesj-43	12	15	integral	integral	ADJ
cuesj-43	12	16	equation	equation	NOUN
cuesj-43	12	17	.	.	PUNCT
cuesj-43	13	1	saleh	saleh	NOUN
cuesj-43	13	2	,	,	PUNCT
cuesj-43	13	3	in	in	ADP
cuesj-43	13	4	2017	2017	NUM
cuesj-43	13	5	,	,	PUNCT
cuesj-43	13	6	studied	study	VERB
cuesj-43	13	7	system	system	NOUN
cuesj-43	13	8	of	of	ADP
cuesj-43	13	9	volterra	volterra	NOUN
cuesj-43	13	10	-	-	PUNCT
cuesj-43	13	11	fredholm	fredholm	NOUN
cuesj-43	13	12	integral	integral	ADJ
cuesj-43	13	13	equation	equation	NOUN
cuesj-43	13	14	of	of	ADP
cuesj-43	13	15	the	the	DET
cuesj-43	13	16	second	second	ADJ
cuesj-43	13	17	type	type	NOUN
cuesj-43	13	18	,	,	PUNCT
cuesj-43	13	19	for	for	ADP
cuesj-43	13	20	extending	extend	VERB
cuesj-43	13	21	this	this	DET
cuesj-43	13	22	work	work	NOUN
cuesj-43	13	23	,	,	PUNCT
cuesj-43	13	24	the	the	DET
cuesj-43	13	25	system	system	NOUN
cuesj-43	13	26	of	of	ADP
cuesj-43	13	27	linear	linear	PROPN
cuesj-43	13	28	mixed	mixed	PROPN
cuesj-43	13	29	volterra	volterra	NOUN
cuesj-43	13	30	-	-	PUNCT
cuesj-43	13	31	fredholm	fredholm	NOUN
cuesj-43	13	32	integral	integral	ADJ
cuesj-43	13	33	equations	equation	NOUN
cuesj-43	13	34	of	of	ADP
cuesj-43	13	35	the	the	DET
cuesj-43	13	36	second	second	ADJ
cuesj-43	13	37	kind	kind	NOUN
cuesj-43	13	38	(	(	PUNCT
cuesj-43	13	39	slmvfie-2	slmvfie-2	NUM
cuesj-43	13	40	)	)	PUNCT
cuesj-43	13	41	is	be	AUX
cuesj-43	13	42	studying	study	VERB
cuesj-43	13	43	and	and	CCONJ
cuesj-43	13	44	finding	find	VERB
cuesj-43	13	45	the	the	DET
cuesj-43	13	46	numerical	numerical	ADJ
cuesj-43	13	47	result	result	NOUN
cuesj-43	13	48	of	of	ADP
cuesj-43	13	49	it	it	PRON
cuesj-43	13	50	by	by	ADP
cuesj-43	13	51	cooperating	cooperate	VERB
cuesj-43	13	52	the	the	DET
cuesj-43	13	53	nm	nm	NOUN
cuesj-43	13	54	with	with	ADP
cuesj-43	13	55	ssm	ssm	NOUN
cuesj-43	13	56	and	and	CCONJ
cuesj-43	13	57	using	use	VERB
cuesj-43	13	58	power	power	NOUN
cuesj-43	13	59	functions	function	NOUN
cuesj-43	13	60	u	u	NOUN
cuesj-43	13	61	x	x	NOUN
cuesj-43	13	62	xi	xi	ADP
cuesj-43	13	63	m	m	PROPN
cuesj-43	13	64	i	i	PRON
cuesj-43	13	65	m	m	VERB
cuesj-43	13	66	(	(	PUNCT
cuesj-43	13	67	)	)	PUNCT
cuesj-43	13	68	,	,	PUNCT
cuesj-43	13	69	=	=	SYM
cuesj-43	13	70	for	for	ADP
cuesj-43	13	71	m=0	m=0	PROPN
cuesj-43	13	72	,	,	PUNCT
cuesj-43	13	73	1	1	NUM
cuesj-43	13	74	,	,	PUNCT
cuesj-43	13	75	2	2	NUM
cuesj-43	13	76	,	,	PUNCT
cuesj-43	13	77	3,	3,	NUM
cuesj-43	13	78	…	…	SYM
cuesj-43	13	79	q.	q.	NOUN
cuesj-43	13	80	some	some	DET
cuesj-43	13	81	definitions	definition	NOUN
cuesj-43	13	82	and	and	CCONJ
cuesj-43	13	83	theorems	theorem	NOUN
cuesj-43	13	84	in	in	ADP
cuesj-43	13	85	this	this	DET
cuesj-43	13	86	section	section	NOUN
cuesj-43	13	87	,	,	PUNCT
cuesj-43	13	88	discussing	discuss	VERB
cuesj-43	13	89	some	some	DET
cuesj-43	13	90	definitions	definition	NOUN
cuesj-43	13	91	and	and	CCONJ
cuesj-43	13	92	theorem	theorem	VERB
cuesj-43	13	93	,	,	PUNCT
cuesj-43	13	94	which	which	PRON
cuesj-43	13	95	relate	relate	VERB
cuesj-43	13	96	to	to	ADP
cuesj-43	13	97	the	the	DET
cuesj-43	13	98	study	study	NOUN
cuesj-43	13	99	.	.	PUNCT
cuesj-43	14	1	cihan	cihan	VERB
cuesj-43	14	2	university	university	NOUN
cuesj-43	14	3	-	-	PUNCT
cuesj-43	14	4	erbil	erbil	PROPN
cuesj-43	14	5	scientific	scientific	ADJ
cuesj-43	14	6	journal	journal	NOUN
cuesj-43	14	7	(	(	PUNCT
cuesj-43	14	8	cuesj	cuesj	PROPN
cuesj-43	14	9	)	)	PUNCT
cuesj-43	14	10	corresponding	correspond	VERB
cuesj-43	14	11	author	author	NOUN
cuesj-43	14	12	:	:	PUNCT
cuesj-43	14	13	talaat	talaat	PROPN
cuesj-43	14	14	i.	i.	PROPN
cuesj-43	14	15	hasan	hasan	PROPN
cuesj-43	14	16	,	,	PUNCT
cuesj-43	14	17	department	department	PROPN
cuesj-43	14	18	of	of	ADP
cuesj-43	14	19	mathematics	mathematics	PROPN
cuesj-43	14	20	,	,	PUNCT
cuesj-43	14	21	college	college	NOUN
cuesj-43	14	22	of	of	ADP
cuesj-43	14	23	basic	basic	ADJ
cuesj-43	14	24	education	education	NOUN
cuesj-43	14	25	,	,	PUNCT
cuesj-43	14	26	salahaddin	salahaddin	VERB
cuesj-43	14	27	university	university	NOUN
cuesj-43	14	28	,	,	PUNCT
cuesj-43	14	29	erbil	erbil	PROPN
cuesj-43	14	30	,	,	PUNCT
cuesj-43	14	31	iraq	iraq	PROPN
cuesj-43	14	32	.	.	PUNCT
cuesj-43	15	1	e	e	X
cuesj-43	15	2	-	-	NOUN
cuesj-43	15	3	mail	mail	NOUN
cuesj-43	15	4	:	:	PUNCT
cuesj-43	15	5	talhat.hassan@su.edu.krd	talhat.hassan@su.edu.krd	NOUN
cuesj-43	15	6	received	receive	VERB
cuesj-43	15	7	:	:	PUNCT
cuesj-43	15	8	nov	nov	PROPN
cuesj-43	15	9	13	13	NUM
cuesj-43	15	10	,	,	PUNCT
cuesj-43	15	11	2018	2018	NUM
cuesj-43	15	12	accepted	accept	VERB
cuesj-43	15	13	:	:	PUNCT
cuesj-43	15	14	dec	dec	PROPN
cuesj-43	15	15	24	24	NUM
cuesj-43	15	16	,	,	PUNCT
cuesj-43	15	17	2018	2018	NUM
cuesj-43	15	18	published	publish	VERB
cuesj-43	15	19	:	:	PUNCT
cuesj-43	15	20	may	may	AUX
cuesj-43	15	21	13	13	NUM
cuesj-43	15	22	,	,	PUNCT
cuesj-43	15	23	2019	2019	NUM
cuesj-43	15	24	doi	doi	NOUN
cuesj-43	15	25	:	:	PUNCT
cuesj-43	15	26	10.24086	10.24086	NUM
cuesj-43	15	27	/	/	SYM
cuesj-43	15	28	cuesj.v3n1y2019.pp27	cuesj.v3n1y2019.pp27	NUM
cuesj-43	15	29	-	-	SYM
cuesj-43	15	30	33	33	NUM
cuesj-43	15	31	copyright	copyright	NOUN
cuesj-43	15	32	©	©	PROPN
cuesj-43	15	33	2019	2019	NUM
cuesj-43	15	34	talaat	talaat	PROPN
cuesj-43	15	35	i.	i.	PROPN
cuesj-43	15	36	hasan	hasan	PROPN
cuesj-43	15	37	.	.	PUNCT
cuesj-43	16	1	this	this	PRON
cuesj-43	16	2	is	be	AUX
cuesj-43	16	3	an	an	DET
cuesj-43	16	4	open	open	ADJ
cuesj-43	16	5	-	-	PUNCT
cuesj-43	16	6	access	access	NOUN
cuesj-43	16	7	article	article	NOUN
cuesj-43	16	8	distributed	distribute	VERB
cuesj-43	16	9	under	under	ADP
cuesj-43	16	10	the	the	DET
cuesj-43	16	11	creative	creative	ADJ
cuesj-43	16	12	commons	common	NOUN
cuesj-43	16	13	attribution	attribution	NOUN
cuesj-43	16	14	license	license	NOUN
cuesj-43	16	15	.	.	PUNCT
cuesj-43	17	1	https://creativecommons.org/licenses/by-nc-nd/4.0/	https://creativecommons.org/licenses/by-nc-nd/4.0/	PROPN
cuesj-43	17	2	hasan	hasan	PROPN
cuesj-43	17	3	:	:	PUNCT
cuesj-43	17	4	cooperating	cooperate	VERB
cuesj-43	17	5	newton	newton	PROPN
cuesj-43	17	6	’s	’s	PART
cuesj-43	17	7	method	method	NOUN
cuesj-43	17	8	with	with	ADP
cuesj-43	17	9	series	series	NOUN
cuesj-43	17	10	solution	solution	NOUN
cuesj-43	17	11	method	method	NOUN
cuesj-43	17	12	28	28	NUM
cuesj-43	17	13	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	17	14	cuesj	cuesj	NOUN
cuesj-43	17	15	2019	2019	NUM
cuesj-43	17	16	,	,	PUNCT
cuesj-43	17	17	3	3	NUM
cuesj-43	17	18	(	(	PUNCT
cuesj-43	17	19	1	1	NUM
cuesj-43	17	20	):	):	PUNCT
cuesj-43	17	21	27	27	NUM
cuesj-43	17	22	-	-	SYM
cuesj-43	17	23	33	33	NUM
cuesj-43	17	24	definition	definition	NOUN
cuesj-43	17	25	(	(	PUNCT
cuesj-43	17	26	1	1	X
cuesj-43	17	27	)	)	PUNCT
cuesj-43	17	28	we	we	PRON
cuesj-43	17	29	assume	assume	VERB
cuesj-43	17	30	slmvfie-2	slmvfie-2	NUM
cuesj-43	17	31	as	as	SCONJ
cuesj-43	17	32	follows	follow	VERB
cuesj-43	17	33	:	:	PUNCT
cuesj-43	17	34	u	u	NOUN
cuesj-43	17	35	x	x	NOUN
cuesj-43	17	36	f	f	NOUN
cuesj-43	17	37	x	x	X
cuesj-43	17	38	k	k	NOUN
cuesj-43	17	39	x	x	SYM
cuesj-43	17	40	t	t	X
cuesj-43	17	41	u	u	NOUN
cuesj-43	17	42	t	t	PROPN
cuesj-43	17	43	dtdxi	dtdxi	VERB
cuesj-43	18	1	i	i	PRON
cuesj-43	18	2	j	j	PROPN
cuesj-43	18	3	n	n	ADV
cuesj-43	18	4	ij	ij	INTJ
cuesj-43	18	5	a	a	DET
cuesj-43	18	6	x	x	INTJ
cuesj-43	18	7	ij	ij	NOUN
cuesj-43	18	8	j	j	PROPN
cuesj-43	18	9	a	a	DET
cuesj-43	18	10	b	b	PROPN
cuesj-43	18	11	(	(	PUNCT
cuesj-43	18	12	)	)	PUNCT
cuesj-43	18	13	(	(	PUNCT
cuesj-43	18	14	)	)	PUNCT
cuesj-43	18	15	(	(	PUNCT
cuesj-43	18	16	,	,	PUNCT
cuesj-43	18	17	)	)	PUNCT
cuesj-43	18	18	(	(	PUNCT
cuesj-43	18	19	)	)	PUNCT
cuesj-43	18	20	=	=	SYM
cuesj-43	19	1	+	+	PUNCT
cuesj-43	19	2	=	=	PUNCT
cuesj-43	19	3	∑	∑	PUNCT
cuesj-43	19	4	∫	∫	PROPN
cuesj-43	19	5	∫	∫	PROPN
cuesj-43	19	6	1	1	NUM
cuesj-43	19	7			X
cuesj-43	19	8	(	(	PUNCT
cuesj-43	19	9	1	1	NUM
cuesj-43	19	10	)	)	PUNCT
cuesj-43	19	11	for	for	ADP
cuesj-43	19	12	i=1	i=1	PROPN
cuesj-43	19	13	,	,	PUNCT
cuesj-43	19	14	2	2	NUM
cuesj-43	19	15	,	,	PUNCT
cuesj-43	19	16	3,	3,	NUM
cuesj-43	19	17	…	…	SYM
cuesj-43	19	18	r.	r.	NOUN
cuesj-43	19	19	where	where	SCONJ
cuesj-43	19	20	fi(x	fi(x	NUM
cuesj-43	19	21	)	)	PUNCT
cuesj-43	19	22	and	and	CCONJ
cuesj-43	19	23	kij(x	kij(x	PROPN
cuesj-43	19	24	,	,	PUNCT
cuesj-43	19	25	t	t	PROPN
cuesj-43	19	26	)	)	PUNCT
cuesj-43	19	27	are	be	AUX
cuesj-43	19	28	analytic	analytic	ADJ
cuesj-43	19	29	functions	function	NOUN
cuesj-43	19	30	on	on	ADP
cuesj-43	19	31	domain	domain	NOUN
cuesj-43	19	32	h=	h=	NOUN
cuesj-43	19	33	{	{	PUNCT
cuesj-43	19	34	(	(	PUNCT
cuesj-43	19	35	x	x	X
cuesj-43	19	36	,	,	PUNCT
cuesj-43	19	37	t	t	PROPN
cuesj-43	19	38	)	)	PUNCT
cuesj-43	19	39	,	,	PUNCT
cuesj-43	20	1	a≤t	a≤t	PROPN
cuesj-43	20	2	<	<	X
cuesj-43	20	3	x≤b	x≤b	X
cuesj-43	20	4	}	}	PUNCT
cuesj-43	20	5	such	such	ADJ
cuesj-43	20	6	that	that	SCONJ
cuesj-43	20	7	ui(x	ui(x	NUM
cuesj-43	20	8	)	)	PUNCT
cuesj-43	20	9	is	be	AUX
cuesj-43	20	10	the	the	DET
cuesj-43	20	11	unknown	unknown	ADJ
cuesj-43	20	12	functions	function	NOUN
cuesj-43	20	13	.	.	PUNCT
cuesj-43	21	1	definition	definition	NOUN
cuesj-43	21	2	(	(	PUNCT
cuesj-43	21	3	2)[4,5	2)[4,5	PROPN
cuesj-43	21	4	]	]	X
cuesj-43	21	5	a	a	DET
cuesj-43	21	6	real	real	ADJ
cuesj-43	21	7	value	value	NOUN
cuesj-43	21	8	function	function	NOUN
cuesj-43	21	9	u(x	u(x	NOUN
cuesj-43	21	10	)	)	PUNCT
cuesj-43	21	11	is	be	AUX
cuesj-43	21	12	called	call	VERB
cuesj-43	21	13	analytic	analytic	ADJ
cuesj-43	21	14	if	if	SCONJ
cuesj-43	21	15	it	it	PRON
cuesj-43	21	16	has	have	VERB
cuesj-43	21	17	derivatives	derivative	NOUN
cuesj-43	21	18	of	of	ADP
cuesj-43	21	19	all	all	DET
cuesj-43	21	20	order	order	NOUN
cuesj-43	21	21	such	such	ADJ
cuesj-43	21	22	that	that	SCONJ
cuesj-43	21	23	the	the	DET
cuesj-43	21	24	taylor	taylor	PROPN
cuesj-43	21	25	series	series	NOUN
cuesj-43	21	26	at	at	ADP
cuesj-43	21	27	a	a	DET
cuesj-43	21	28	point	point	NOUN
cuesj-43	21	29	b	b	NOUN
cuesj-43	21	30	in	in	ADP
cuesj-43	21	31	its	its	PRON
cuesj-43	21	32	domain	domain	NOUN
cuesj-43	21	33	.	.	PUNCT
cuesj-43	22	1	u	u	NOUN
cuesj-43	22	2	x	x	X
cuesj-43	22	3	u	u	NOUN
cuesj-43	22	4	b	b	PROPN
cuesj-43	22	5	k	k	NOUN
cuesj-43	22	6	x	x	X
cuesj-43	22	7	b	b	PROPN
cuesj-43	22	8	k	k	PROPN
cuesj-43	22	9	k	k	PROPN
cuesj-43	22	10	k	k	PROPN
cuesj-43	22	11	(	(	PUNCT
cuesj-43	22	12	)	)	PUNCT
cuesj-43	22	13	(	(	PUNCT
cuesj-43	22	14	)	)	PUNCT
cuesj-43	22	15	!	!	PUNCT
cuesj-43	23	1	(	(	PUNCT
cuesj-43	23	2	)	)	PUNCT
cuesj-43	23	3	,	,	PUNCT
cuesj-43	23	4	=	=	PUNCT
cuesj-43	23	5	−	−	PROPN
cuesj-43	23	6	=	=	SYM
cuesj-43	23	7	∞	∞	NUM
cuesj-43	23	8	∑	∑	SYM
cuesj-43	23	9	0	0	NUM
cuesj-43	23	10	converges	converge	NOUN
cuesj-43	23	11	to	to	ADP
cuesj-43	23	12	u(x	u(x	NOUN
cuesj-43	23	13	)	)	PUNCT
cuesj-43	23	14	in	in	ADP
cuesj-43	23	15	the	the	DET
cuesj-43	23	16	neighborhood	neighborhood	NOUN
cuesj-43	23	17	of	of	ADP
cuesj-43	23	18	b.	b.	PROPN
cuesj-43	23	19	definition	definition	NOUN
cuesj-43	23	20	(	(	PUNCT
cuesj-43	23	21	3)[10	3)[10	NUM
cuesj-43	23	22	]	]	PUNCT
cuesj-43	23	23	let	let	AUX
cuesj-43	23	24	f(x)=0	f(x)=0	ADV
cuesj-43	23	25	be	be	AUX
cuesj-43	23	26	the	the	DET
cuesj-43	23	27	non	non	ADJ
cuesj-43	23	28	-	-	ADJ
cuesj-43	23	29	linear	linear	ADJ
cuesj-43	23	30	function	function	NOUN
cuesj-43	23	31	and	and	CCONJ
cuesj-43	23	32	x0	x0	PROPN
cuesj-43	23	33	be	be	VERB
cuesj-43	23	34	initial	initial	ADJ
cuesj-43	23	35	solution	solution	NOUN
cuesj-43	23	36	to	to	ADP
cuesj-43	23	37	the	the	DET
cuesj-43	23	38	exact	exact	ADJ
cuesj-43	23	39	solution	solution	NOUN
cuesj-43	23	40	and	and	CCONJ
cuesj-43	23	41	then	then	ADV
cuesj-43	23	42	the	the	DET
cuesj-43	23	43	newton	newton	PROPN
cuesj-43	23	44	’s	’s	PART
cuesj-43	23	45	method	method	NOUN
cuesj-43	23	46	is	be	AUX
cuesj-43	23	47	defined	define	VERB
cuesj-43	23	48	as	as	ADP
cuesj-43	23	49	the	the	DET
cuesj-43	23	50	form	form	NOUN
cuesj-43	23	51	x	x	X
cuesj-43	23	52	x	x	SYM
cuesj-43	23	53	f	f	X
cuesj-43	23	54	x	x	SYM
cuesj-43	23	55	f	f	PROPN
cuesj-43	23	56	xn	xn	PROPN
cuesj-43	23	57	n	n	CCONJ
cuesj-43	23	58	n	n	CCONJ
cuesj-43	23	59	n	n	NOUN
cuesj-43	23	60	=	=	CCONJ
cuesj-43	23	61	−	−	PROPN
cuesj-43	23	62	′−	′−	PROPN
cuesj-43	23	63	−	−	NOUN
cuesj-43	23	64	−	−	NOUN
cuesj-43	23	65	1	1	NUM
cuesj-43	23	66	1	1	NUM
cuesj-43	23	67	1	1	NUM
cuesj-43	23	68	(	(	PUNCT
cuesj-43	23	69	)	)	PUNCT
cuesj-43	23	70	(	(	PUNCT
cuesj-43	23	71	)	)	PUNCT
cuesj-43	23	72	,	,	PUNCT
cuesj-43	23	73	n=1	n=1	PROPN
cuesj-43	23	74	,	,	PUNCT
cuesj-43	23	75	2	2	NUM
cuesj-43	23	76	,	,	PUNCT
cuesj-43	23	77	…	…	PUNCT
cuesj-43	23	78	.	.	PUNCT
cuesj-43	24	1	which	which	PRON
cuesj-43	24	2	generating	generate	VERB
cuesj-43	24	3	the	the	DET
cuesj-43	24	4	sequence	sequence	NOUN
cuesj-43	24	5	{	{	PUNCT
cuesj-43	24	6	xn	xn	NUM
cuesj-43	24	7	}	}	PUNCT
cuesj-43	24	8	.	.	PUNCT
cuesj-43	25	1	using	use	VERB
cuesj-43	25	2	ssm	ssm	NOUN
cuesj-43	25	3	for	for	ADP
cuesj-43	25	4	solving	solve	VERB
cuesj-43	25	5	slmvfie-2	slmvfie-2	PROPN
cuesj-43	25	6	suppose	suppose	VERB
cuesj-43	25	7	that	that	SCONJ
cuesj-43	25	8	the	the	DET
cuesj-43	25	9	numerical	numerical	ADJ
cuesj-43	25	10	solution	solution	NOUN
cuesj-43	25	11	of	of	ADP
cuesj-43	25	12	slmvfie-2	slmvfie-2	NUM
cuesj-43	25	13	be	be	AUX
cuesj-43	25	14	analytic	analytic	ADJ
cuesj-43	25	15	function	function	NOUN
cuesj-43	25	16	and	and	CCONJ
cuesj-43	25	17	can	can	AUX
cuesj-43	25	18	be	be	AUX
cuesj-43	25	19	written	write	VERB
cuesj-43	25	20	of	of	ADP
cuesj-43	25	21	the	the	DET
cuesj-43	25	22	form	form	NOUN
cuesj-43	25	23	u	u	NOUN
cuesj-43	25	24	x	x	PROPN
cuesj-43	25	25	u	u	NOUN
cuesj-43	25	26	xi	xi	X
cuesj-43	26	1	i	i	PRON
cuesj-43	26	2	m	m	VERB
cuesj-43	26	3	i	i	PRON
cuesj-43	26	4	m	m	VERB
cuesj-43	26	5	m	m	VERB
cuesj-43	26	6	q	q	ADJ
cuesj-43	26	7	(	(	PUNCT
cuesj-43	26	8	)	)	PUNCT
cuesj-43	26	9	(	(	PUNCT
cuesj-43	26	10	)	)	PUNCT
cuesj-43	26	11	=	=	SYM
cuesj-43	27	1	=	=	PUNCT
cuesj-43	27	2	∑	∑	NOUN
cuesj-43	27	3	0	0	PUNCT
cuesj-43	28	1	for	for	ADP
cuesj-43	28	2	i=1	i=1	PRON
cuesj-43	28	3	,	,	PUNCT
cuesj-43	28	4	2	2	NUM
cuesj-43	28	5	,	,	PUNCT
cuesj-43	28	6	3,	3,	ADJ
cuesj-43	28	7	…	…	SYM
cuesj-43	28	8	r	r	NOUN
cuesj-43	28	9	(	(	PUNCT
cuesj-43	28	10	2	2	NUM
cuesj-43	28	11	)	)	PUNCT
cuesj-43	28	12	substituting	substitute	VERB
cuesj-43	28	13	it	it	PRON
cuesj-43	28	14	in	in	ADP
cuesj-43	28	15	equation	equation	NOUN
cuesj-43	28	16	(	(	PUNCT
cuesj-43	28	17	1	1	NUM
cuesj-43	28	18	)	)	PUNCT
cuesj-43	28	19	,	,	PUNCT
cuesj-43	28	20	we	we	PRON
cuesj-43	28	21	get	get	VERB
cuesj-43	28	22	α	α	PRON
cuesj-43	28	23	λ	λ	PROPN
cuesj-43	28	24	αip	αip	PROPN
cuesj-43	28	25	m	m	NOUN
cuesj-43	28	26	q	q	NOUN
cuesj-43	29	1	i	i	PRON
cuesj-43	29	2	m	m	VERB
cuesj-43	29	3	i	i	PRON
cuesj-43	30	1	ij	ij	INTJ
cuesj-43	30	2	j	j	PROPN
cuesj-43	30	3	n	n	ADP
cuesj-43	30	4	ij	ij	INTJ
cuesj-43	31	1	i	i	PRON
cuesj-43	31	2	m	m	VERB
cuesj-43	31	3	m	m	VERB
cuesj-43	31	4	q	q	ADJ
cuesj-43	32	1	i	i	PRON
cuesj-43	32	2	mu	mu	VERB
cuesj-43	32	3	x	x	X
cuesj-43	32	4	t	t	NOUN
cuesj-43	32	5	f	f	X
cuesj-43	32	6	x	x	X
cuesj-43	32	7	k	k	NOUN
cuesj-43	32	8	x	x	SYM
cuesj-43	32	9	t	t	NOUN
cuesj-43	32	10	u	u	NOUN
cuesj-43	32	11	t	t	NOUN
cuesj-43	32	12	dtdx	dtdx	NOUN
cuesj-43	33	1	=	=	PUNCT
cuesj-43	33	2	=	=	PUNCT
cuesj-43	33	3	=	=	PUNCT
cuesj-43	33	4	∑	∑	PUNCT
cuesj-43	33	5	∑	∑	PUNCT
cuesj-43	33	6	∑=	∑=	NOUN
cuesj-43	33	7	+	+	NOUN
cuesj-43	33	8	0	0	NUM
cuesj-43	33	9	1	1	NUM
cuesj-43	33	10	0	0	NUM
cuesj-43	33	11	(	(	PUNCT
cuesj-43	33	12	)	)	PUNCT
cuesj-43	33	13	(	(	PUNCT
cuesj-43	33	14	(	(	PUNCT
cuesj-43	33	15	)	)	PUNCT
cuesj-43	33	16	)	)	PUNCT
cuesj-43	33	17	(	(	PUNCT
cuesj-43	33	18	,	,	PUNCT
cuesj-43	33	19	)	)	PUNCT
cuesj-43	33	20	(	(	PUNCT
cuesj-43	33	21	)	)	PUNCT
cuesj-43	33	22	aa	aa	INTJ
cuesj-43	33	23	b	b	X
cuesj-43	33	24	a	a	PRON
cuesj-43	33	25	x	x	X
cuesj-43	34	1	i	i	PRON
cuesj-43	35	1	i	i	PRON
cuesj-43	36	1	i	i	PRON
cuesj-43	37	1	i	i	PRON
cuesj-43	38	1	i	i	PRON
cuesj-43	39	1	i	i	PRON
cuesj-43	39	2	iq	iq	VERB
cuesj-43	40	1	i	i	PRON
cuesj-43	40	2	q	q	NOUN
cuesj-43	41	1	i	i	PRON
cuesj-43	41	2	u	u	VERB
cuesj-43	41	3	x	x	X
cuesj-43	41	4	u	u	NOUN
cuesj-43	41	5	x	x	X
cuesj-43	41	6	u	u	NOUN
cuesj-43	41	7	x	x	X
cuesj-43	41	8	u	u	NOUN
cuesj-43	41	9	x	x	PROPN
cuesj-43	41	10	t	t	NOUN
cuesj-43	41	11	f	f	X
cuesj-43	41	12	x	x	X
cuesj-43	42	1	∫∫	∫∫	ADV
cuesj-43	42	2	+	+	PUNCT
cuesj-43	42	3	+	+	PUNCT
cuesj-43	42	4	+	+	PUNCT
cuesj-43	42	5	+	+	NUM
cuesj-43	42	6	=	=	SYM
cuesj-43	42	7	α	α	NOUN
cuesj-43	42	8	α	α	NOUN
cuesj-43	42	9	α	α	NOUN
cuesj-43	42	10	α0	α0	ADJ
cuesj-43	42	11	0	0	NUM
cuesj-43	42	12	1	1	NUM
cuesj-43	42	13	1	1	NUM
cuesj-43	42	14	2	2	NUM
cuesj-43	42	15	2	2	NUM
cuesj-43	42	16	(	(	PUNCT
cuesj-43	42	17	)	)	PUNCT
cuesj-43	42	18	(	(	PUNCT
cuesj-43	42	19	)	)	PUNCT
cuesj-43	42	20	(	(	PUNCT
cuesj-43	42	21	)	)	PUNCT
cuesj-43	42	22	...	...	PUNCT
cuesj-43	43	1	(	(	PUNCT
cuesj-43	43	2	)	)	PUNCT
cuesj-43	43	3	(	(	PUNCT
cuesj-43	43	4	(	(	PUNCT
cuesj-43	43	5	)	)	PUNCT
cuesj-43	43	6	)	)	PUNCT
cuesj-43	43	7	)	)	PUNCT
cuesj-43	44	1	(	(	PUNCT
cuesj-43	44	2	,	,	PUNCT
cuesj-43	44	3	)	)	PUNCT
cuesj-43	44	4	[	[	PUNCT
cuesj-43	44	5	(	(	PUNCT
cuesj-43	44	6	)	)	PUNCT
cuesj-43	44	7	(	(	PUNCT
cuesj-43	44	8	)	)	PUNCT
cuesj-43	44	9	(	(	PUNCT
cuesj-43	44	10	)	)	PUNCT
cuesj-43	44	11	..	..	PUNCT
cuesj-43	45	1	+	+	PUNCT
cuesj-43	46	1	+	+	PUNCT
cuesj-43	46	2	+	+	PUNCT
cuesj-43	46	3	+	+	CCONJ
cuesj-43	46	4	∫∫∑	∫∫∑	PROPN
cuesj-43	46	5	=	=	SYM
cuesj-43	46	6	λ	λ	X
cuesj-43	46	7	α	α	NOUN
cuesj-43	46	8	α	α	NOUN
cuesj-43	46	9	α	α	NOUN
cuesj-43	46	10	ij	ij	INTJ
cuesj-43	47	1	ij	ij	INTJ
cuesj-43	47	2	i	i	PRON
cuesj-43	48	1	i	i	PRON
cuesj-43	48	2	a	a	DET
cuesj-43	48	3	b	b	NOUN
cuesj-43	48	4	a	a	DET
cuesj-43	48	5	x	x	X
cuesj-43	48	6	j	j	NOUN
cuesj-43	49	1	n	n	CCONJ
cuesj-43	50	1	i	i	PRON
cuesj-43	51	1	i	i	PRON
cuesj-43	52	1	i	i	PRON
cuesj-43	53	1	i	i	VERB
cuesj-43	54	1	k	k	NOUN
cuesj-43	55	1	x	x	SYM
cuesj-43	56	1	t	t	X
cuesj-43	56	2	u	u	NOUN
cuesj-43	56	3	t	t	PROPN
cuesj-43	56	4	u	u	NOUN
cuesj-43	56	5	t	t	PROPN
cuesj-43	56	6	u	u	NOUN
cuesj-43	56	7	t	t	PROPN
cuesj-43	56	8	0	0	NUM
cuesj-43	56	9	0	0	NUM
cuesj-43	56	10	1	1	NUM
cuesj-43	56	11	1	1	NUM
cuesj-43	56	12	1	1	NUM
cuesj-43	56	13	2	2	NUM
cuesj-43	56	14	2	2	NUM
cuesj-43	56	15	..	..	PUNCT
cuesj-43	56	16	(	(	PUNCT
cuesj-43	56	17	)	)	PUNCT
cuesj-43	56	18	]	]	X
cuesj-43	56	19	+	+	X
cuesj-43	56	20	α	α	NOUN
cuesj-43	56	21	iq	iq	VERB
cuesj-43	57	1	i	i	PRON
cuesj-43	57	2	qu	qu	PROPN
cuesj-43	57	3	t	t	PROPN
cuesj-43	57	4	dtdx	dtdx	PROPN
cuesj-43	57	5	(	(	PUNCT
cuesj-43	57	6	3	3	NUM
cuesj-43	57	7	)	)	PUNCT
cuesj-43	57	8	from	from	ADP
cuesj-43	57	9	equation	equation	NOUN
cuesj-43	57	10	(	(	PUNCT
cuesj-43	57	11	3	3	NUM
cuesj-43	57	12	)	)	PUNCT
cuesj-43	57	13	,	,	PUNCT
cuesj-43	57	14	in	in	ADP
cuesj-43	57	15	the	the	DET
cuesj-43	57	16	right	right	ADJ
cuesj-43	57	17	-	-	PUNCT
cuesj-43	57	18	hand	hand	NOUN
cuesj-43	57	19	side	side	NOUN
cuesj-43	57	20	calculating	calculate	VERB
cuesj-43	57	21	the	the	DET
cuesj-43	57	22	integrals	integral	NOUN
cuesj-43	57	23	for	for	ADP
cuesj-43	57	24	variables	variable	NOUN
cuesj-43	57	25	t	t	PROPN
cuesj-43	57	26	and	and	CCONJ
cuesj-43	57	27	x.	x.	NOUN
cuesj-43	57	28	getting	get	VERB
cuesj-43	57	29	the	the	DET
cuesj-43	57	30	system	system	NOUN
cuesj-43	57	31	of	of	ADP
cuesj-43	57	32	(	(	PUNCT
cuesj-43	57	33	r×(q+1	r×(q+1	ADJ
cuesj-43	57	34	)	)	PUNCT
cuesj-43	57	35	equations	equation	NOUN
cuesj-43	57	36	.	.	PUNCT
cuesj-43	58	1	collecting	collect	VERB
cuesj-43	58	2	and	and	CCONJ
cuesj-43	58	3	equating	equate	VERB
cuesj-43	58	4	the	the	DET
cuesj-43	58	5	terms	term	NOUN
cuesj-43	58	6	of	of	ADP
cuesj-43	58	7	the	the	DET
cuesj-43	58	8	same	same	ADJ
cuesj-43	58	9	powers	power	NOUN
cuesj-43	58	10	of	of	ADP
cuesj-43	58	11	u	u	PROPN
cuesj-43	58	12	xi	xi	ADP
cuesj-43	58	13	m	m	PROPN
cuesj-43	58	14	(	(	PUNCT
cuesj-43	58	15	)	)	PUNCT
cuesj-43	58	16	in	in	ADP
cuesj-43	58	17	both	both	DET
cuesj-43	58	18	sides	side	NOUN
cuesj-43	58	19	.	.	PUNCT
cuesj-43	59	1	using	use	VERB
cuesj-43	59	2	gauss	gauss	ADJ
cuesj-43	59	3	elimination	elimination	NOUN
cuesj-43	59	4	method	method	NOUN
cuesj-43	59	5	,	,	PUNCT
cuesj-43	59	6	solving	solve	VERB
cuesj-43	59	7	the	the	DET
cuesj-43	59	8	resulting	result	VERB
cuesj-43	59	9	in	in	ADP
cuesj-43	59	10	equation	equation	NOUN
cuesj-43	59	11	(	(	PUNCT
cuesj-43	59	12	3	3	NUM
cuesj-43	59	13	)	)	PUNCT
cuesj-43	59	14	to	to	PART
cuesj-43	59	15	obtain	obtain	VERB
cuesj-43	59	16	the	the	DET
cuesj-43	59	17	values	value	NOUN
cuesj-43	59	18	of	of	ADP
cuesj-43	59	19	aim	aim	NOUN
cuesj-43	59	20	such	such	ADJ
cuesj-43	59	21	that	that	SCONJ
cuesj-43	59	22	the	the	DET
cuesj-43	59	23	determinate	determinate	NOUN
cuesj-43	59	24	of	of	ADP
cuesj-43	59	25	algebraic	algebraic	ADJ
cuesj-43	59	26	system	system	NOUN
cuesj-43	59	27	does	do	AUX
cuesj-43	59	28	not	not	PART
cuesj-43	59	29	equal	equal	VERB
cuesj-43	59	30	to	to	ADP
cuesj-43	59	31	zero	zero	NUM
cuesj-43	59	32	.	.	PUNCT
cuesj-43	60	1	by	by	ADP
cuesj-43	60	2	putting	put	VERB
cuesj-43	60	3	the	the	DET
cuesj-43	60	4	values	value	NOUN
cuesj-43	60	5	of	of	ADP
cuesj-43	60	6	aim	aim	NOUN
cuesj-43	60	7	in	in	ADP
cuesj-43	60	8	equation	equation	NOUN
cuesj-43	60	9	(	(	PUNCT
cuesj-43	60	10	2	2	NUM
cuesj-43	60	11	)	)	PUNCT
cuesj-43	60	12	,	,	PUNCT
cuesj-43	60	13	we	we	PRON
cuesj-43	60	14	get	get	VERB
cuesj-43	60	15	the	the	DET
cuesj-43	60	16	approximation	approximation	NOUN
cuesj-43	60	17	solution	solution	NOUN
cuesj-43	60	18	of	of	ADP
cuesj-43	60	19	equation	equation	NOUN
cuesj-43	60	20	(	(	PUNCT
cuesj-43	60	21	1	1	NUM
cuesj-43	60	22	)	)	PUNCT
cuesj-43	60	23	.	.	PUNCT
cuesj-43	61	1	the	the	DET
cuesj-43	61	2	calculation	calculation	NOUN
cuesj-43	61	3	more	more	ADJ
cuesj-43	61	4	terms	term	NOUN
cuesj-43	61	5	we	we	PRON
cuesj-43	61	6	use	use	VERB
cuesj-43	61	7	will	will	AUX
cuesj-43	61	8	enhance	enhance	VERB
cuesj-43	61	9	the	the	DET
cuesj-43	61	10	level	level	NOUN
cuesj-43	61	11	of	of	ADP
cuesj-43	61	12	accuracy	accuracy	NOUN
cuesj-43	61	13	of	of	ADP
cuesj-43	61	14	the	the	DET
cuesj-43	61	15	approximate	approximate	ADJ
cuesj-43	61	16	solutions	solution	NOUN
cuesj-43	61	17	.	.	PUNCT
cuesj-43	62	1	in	in	ADP
cuesj-43	62	2	this	this	DET
cuesj-43	62	3	work	work	NOUN
cuesj-43	62	4	,	,	PUNCT
cuesj-43	62	5	we	we	PRON
cuesj-43	62	6	use	use	VERB
cuesj-43	62	7	power	power	NOUN
cuesj-43	62	8	functions	function	NOUN
cuesj-43	62	9	u	u	NOUN
cuesj-43	62	10	x	x	NOUN
cuesj-43	62	11	xi	xi	ADP
cuesj-43	62	12	m	m	PROPN
cuesj-43	62	13	i	i	PRON
cuesj-43	62	14	m	m	VERB
cuesj-43	62	15	(	(	PUNCT
cuesj-43	62	16	)	)	PUNCT
cuesj-43	62	17	=	=	PUNCT
cuesj-43	62	18	for	for	ADP
cuesj-43	62	19	m=0	m=0	PROPN
cuesj-43	62	20	,	,	PUNCT
cuesj-43	62	21	1	1	NUM
cuesj-43	62	22	,	,	PUNCT
cuesj-43	62	23	2	2	NUM
cuesj-43	62	24	,	,	PUNCT
cuesj-43	62	25	3,	3,	NUM
cuesj-43	62	26	…	…	SYM
cuesj-43	62	27	q.	q.	PROPN
cuesj-43	62	28	new	new	ADJ
cuesj-43	62	29	theorem	theorem	NOUN
cuesj-43	62	30	(	(	PUNCT
cuesj-43	62	31	1	1	X
cuesj-43	62	32	)	)	PUNCT
cuesj-43	62	33	let	let	VERB
cuesj-43	62	34	v	v	NOUN
cuesj-43	62	35	:	:	PUNCT
cuesj-43	62	36	b(a)→b(a	b(a)→b(a	NOUN
cuesj-43	62	37	)	)	PUNCT
cuesj-43	62	38	be	be	VERB
cuesj-43	62	39	a	a	DET
cuesj-43	62	40	continuous	continuous	ADJ
cuesj-43	62	41	linear	linear	ADJ
cuesj-43	62	42	integral	integral	ADJ
cuesj-43	62	43	operator	operator	NOUN
cuesj-43	62	44	on	on	ADP
cuesj-43	62	45	the	the	DET
cuesj-43	62	46	banach	banach	NOUN
cuesj-43	62	47	space	space	NOUN
cuesj-43	62	48	b(a	b(a	PROPN
cuesj-43	62	49	)	)	PUNCT
cuesj-43	62	50	fi(x	fi(x	NUM
cuesj-43	62	51	)	)	PUNCT
cuesj-43	62	52	be	be	AUX
cuesj-43	62	53	analytic	analytic	ADJ
cuesj-43	62	54	function	function	NOUN
cuesj-43	62	55	on	on	ADP
cuesj-43	62	56	[	[	X
cuesj-43	62	57	a	a	X
cuesj-43	62	58	,	,	PUNCT
cuesj-43	62	59	b	b	NOUN
cuesj-43	62	60	]	]	PUNCT
cuesj-43	62	61	and	and	CCONJ
cuesj-43	62	62	kij(x	kij(x	PROPN
cuesj-43	62	63	,	,	PUNCT
cuesj-43	62	64	t	t	PROPN
cuesj-43	62	65	)	)	PUNCT
cuesj-43	62	66	be	be	AUX
cuesj-43	62	67	continuous	continuous	ADJ
cuesj-43	62	68	on	on	ADP
cuesj-43	62	69	h={(x	h={(x	PROPN
cuesj-43	62	70	,	,	PUNCT
cuesj-43	62	71	t	t	PROPN
cuesj-43	62	72	)	)	PUNCT
cuesj-43	62	73	,	,	PUNCT
cuesj-43	63	1	a≤t	a≤t	PROPN
cuesj-43	63	2	<	<	X
cuesj-43	63	3	x≤b	x≤b	X
cuesj-43	63	4	}	}	PUNCT
cuesj-43	63	5	where	where	SCONJ
cuesj-43	63	6	|kij(x	|kij(x	PROPN
cuesj-43	63	7	,	,	PUNCT
cuesj-43	63	8	t	t	PROPN
cuesj-43	63	9	)	)	PUNCT
cuesj-43	63	10	u1(t)−kij(x	u1(t)−kij(x	PROPN
cuesj-43	63	11	,	,	PUNCT
cuesj-43	63	12	t)u2(t)−|≤di|u1−u2|	t)u2(t)−|≤di|u1−u2|	VERB
cuesj-43	63	13	such	such	ADJ
cuesj-43	63	14	that	that	SCONJ
cuesj-43	63	15	0	0	NUM
cuesj-43	63	16	<	<	X
cuesj-43	63	17	di<1	di<1	NOUN
cuesj-43	63	18	,	,	PUNCT
cuesj-43	63	19	then	then	ADV
cuesj-43	63	20	vn	vn	PROPN
cuesj-43	63	21	is	be	AUX
cuesj-43	63	22	contractive	contractive	ADJ
cuesj-43	63	23	mapping	mapping	NOUN
cuesj-43	63	24	.	.	PUNCT
cuesj-43	64	1	proof	proof	NOUN
cuesj-43	64	2	:	:	PUNCT
cuesj-43	64	3	suppose	suppose	VERB
cuesj-43	64	4	that	that	SCONJ
cuesj-43	64	5	[	[	PUNCT
cuesj-43	64	6	]	]	X
cuesj-43	64	7	0	0	NUM
cuesj-43	64	8	0	0	NUM
cuesj-43	64	9	(	(	PUNCT
cuesj-43	64	10	(	(	PUNCT
cuesj-43	64	11	)	)	PUNCT
cuesj-43	64	12	)	)	PUNCT
cuesj-43	64	13	(	(	PUNCT
cuesj-43	64	14	)	)	PUNCT
cuesj-43	64	15	(	(	PUNCT
cuesj-43	64	16	,	,	PUNCT
cuesj-43	64	17	)	)	PUNCT
cuesj-43	64	18	(	(	PUNCT
cuesj-43	64	19	)	)	PUNCT
cuesj-43	64	20	,	,	PUNCT
cuesj-43	64	21	0	0	NUM
cuesj-43	64	22	,	,	PUNCT
cuesj-43	64	23	,	,	PUNCT
cuesj-43	64	24	p	p	X
cuesj-43	64	25	x	x	X
cuesj-43	64	26	i	i	PRON
cuesj-43	64	27	i	i	PRON
cuesj-43	65	1	ij	ij	INTJ
cuesj-43	66	1	i	i	PRON
cuesj-43	67	1	i	i	PRON
cuesj-43	67	2	iv	iv	VERB
cuesj-43	67	3	u	u	NOUN
cuesj-43	67	4	x	x	X
cuesj-43	67	5	f	f	NOUN
cuesj-43	67	6	x	x	X
cuesj-43	67	7	k	k	NOUN
cuesj-43	67	8	x	x	SYM
cuesj-43	67	9	t	t	NOUN
cuesj-43	67	10	u	u	NOUN
cuesj-43	67	11	t	t	NOUN
cuesj-43	67	12	dtdx	dtdx	NOUN
cuesj-43	68	1	x	x	X
cuesj-43	68	2	p	p	X
cuesj-43	68	3	p	p	PROPN
cuesj-43	68	4	1.=	1.=	NUM
cuesj-43	68	5	+	+	CCONJ
cuesj-43	68	6	<	<	X
cuesj-43	68	7	∫	∫	PROPN
cuesj-43	68	8	∫	∫	PROPN
cuesj-43	68	9	to	to	PART
cuesj-43	68	10	prove	prove	VERB
cuesj-43	68	11	that	that	SCONJ
cuesj-43	68	12	vn	vn	PROPN
cuesj-43	68	13	is	be	AUX
cuesj-43	68	14	contraction	contraction	NOUN
cuesj-43	68	15	mapping	mapping	NOUN
cuesj-43	68	16	for	for	ADP
cuesj-43	68	17	any	any	DET
cuesj-43	68	18	u1(s	u1(	NOUN
cuesj-43	68	19	)	)	PUNCT
cuesj-43	68	20	,	,	PUNCT
cuesj-43	68	21	u2(s	u2(s	NOUN
cuesj-43	68	22	)	)	PUNCT
cuesj-43	68	23			NOUN
cuesj-43	68	24	b	b	PROPN
cuesj-43	68	25	(	(	PUNCT
cuesj-43	68	26	a	a	NOUN
cuesj-43	68	27	)	)	PUNCT
cuesj-43	68	28	for	for	ADP
cuesj-43	68	29	sufficient	sufficient	ADJ
cuesj-43	68	30	large	large	ADJ
cuesj-43	68	31	n.	n.	NOUN
cuesj-43	68	32	v	v	NOUN
cuesj-43	68	33	u	u	NOUN
cuesj-43	68	34	x	x	X
cuesj-43	68	35	v	v	ADP
cuesj-43	68	36	u	u	NOUN
cuesj-43	68	37	x	x	NOUN
cuesj-43	68	38	f	f	NOUN
cuesj-43	68	39	x	x	X
cuesj-43	68	40	k	k	NOUN
cuesj-43	68	41	x	x	SYM
cuesj-43	68	42	t	t	NOUN
cuesj-43	68	43	u	u	NOUN
cuesj-43	69	1	t	t	NOUN
cuesj-43	69	2	dtdx	dtdx	NOUN
cuesj-43	70	1	f	f	NOUN
cuesj-43	70	2	x	x	X
cuesj-43	71	1	k	k	NOUN
cuesj-43	72	1	i	i	PRON
cuesj-43	72	2	ij	ij	INTJ
cuesj-43	72	3	xp	xp	INTJ
cuesj-43	73	1	i	i	PRON
cuesj-43	73	2	ij	ij	INTJ
cuesj-43	73	3	(	(	PUNCT
cuesj-43	73	4	(	(	PUNCT
cuesj-43	73	5	)	)	PUNCT
cuesj-43	73	6	)	)	PUNCT
cuesj-43	73	7	(	(	PUNCT
cuesj-43	73	8	(	(	PUNCT
cuesj-43	73	9	)	)	PUNCT
cuesj-43	73	10	)	)	PUNCT
cuesj-43	73	11	(	(	PUNCT
cuesj-43	73	12	)	)	PUNCT
cuesj-43	73	13	(	(	PUNCT
cuesj-43	73	14	,	,	PUNCT
cuesj-43	73	15	)	)	PUNCT
cuesj-43	73	16	(	(	PUNCT
cuesj-43	73	17	)	)	PUNCT
cuesj-43	73	18	(	(	PUNCT
cuesj-43	73	19	(	(	PUNCT
cuesj-43	73	20	)	)	PUNCT
cuesj-43	73	21	1	1	NUM
cuesj-43	73	22	2	2	NUM
cuesj-43	73	23	0	0	NUM
cuesj-43	73	24	1	1	NUM
cuesj-43	73	25	0	0	NUM
cuesj-43	73	26	−	−	NOUN
cuesj-43	73	27	=	=	SYM
cuesj-43	74	1	+	+	PUNCT
cuesj-43	74	2	+	+	CCONJ
cuesj-43	74	3	∫∫	∫∫	ADV
cuesj-43	74	4			NOUN
cuesj-43	74	5	00	00	NUM
cuesj-43	74	6	2	2	NUM
cuesj-43	74	7	0	0	NUM
cuesj-43	74	8	0	0	NUM
cuesj-43	74	9	1	1	NUM
cuesj-43	74	10	2	2	NUM
cuesj-43	74	11	0	0	NUM
cuesj-43	74	12	xp	xp	INTJ
cuesj-43	75	1	ij	ij	INTJ
cuesj-43	75	2	xp	xp	INTJ
cuesj-43	75	3	x	x	SYM
cuesj-43	75	4	t	t	PROPN
cuesj-43	75	5	u	u	NOUN
cuesj-43	75	6	t	t	NOUN
cuesj-43	75	7	dtdx	dtdx	NOUN
cuesj-43	76	1	k	k	NOUN
cuesj-43	76	2	x	x	SYM
cuesj-43	76	3	t	t	X
cuesj-43	76	4	u	u	NOUN
cuesj-43	76	5	t	t	PROPN
cuesj-43	76	6	u	u	NOUN
cuesj-43	76	7	t	t	NOUN
cuesj-43	76	8	dtdx	dtdx	VERB
cuesj-43	77	1	∫∫	∫∫	ADV
cuesj-43	77	2	∫∫=	∫∫=	NUM
cuesj-43	77	3	−	−	PROPN
cuesj-43	77	4	(	(	PUNCT
cuesj-43	77	5	,	,	PUNCT
cuesj-43	77	6	)	)	PUNCT
cuesj-43	77	7	(	(	PUNCT
cuesj-43	77	8	)	)	PUNCT
cuesj-43	77	9	)	)	PUNCT
cuesj-43	78	1	(	(	PUNCT
cuesj-43	78	2	,	,	PUNCT
cuesj-43	78	3	)	)	PUNCT
cuesj-43	78	4	(	(	PUNCT
cuesj-43	78	5	(	(	PUNCT
cuesj-43	78	6	)	)	PUNCT
cuesj-43	78	7	(	(	PUNCT
cuesj-43	78	8	)	)	PUNCT
cuesj-43	78	9	v	v	X
cuesj-43	78	10	u	u	NOUN
cuesj-43	78	11	x	x	X
cuesj-43	78	12	v	v	ADP
cuesj-43	78	13	u	u	NOUN
cuesj-43	78	14	x	x	X
cuesj-43	78	15	k	k	NOUN
cuesj-43	78	16	x	x	SYM
cuesj-43	78	17	t	t	NOUN
cuesj-43	78	18	u	u	NOUN
cuesj-43	78	19	t	t	PROPN
cuesj-43	78	20	k	k	NOUN
cuesj-43	78	21	x	x	SYM
cuesj-43	78	22	t	t	X
cuesj-43	78	23	u	u	NOUN
cuesj-43	78	24	t	t	NOUN
cuesj-43	78	25	dtdx	dtdx	NOUN
cuesj-43	79	1	d	d	INTJ
cuesj-43	79	2	ij	ij	INTJ
cuesj-43	80	1	ij	ij	INTJ
cuesj-43	80	2	xp	xp	INTJ
cuesj-43	81	1	i	i	PRON
cuesj-43	81	2	(	(	PUNCT
cuesj-43	81	3	(	(	PUNCT
cuesj-43	81	4	)	)	PUNCT
cuesj-43	81	5	)	)	PUNCT
cuesj-43	81	6	(	(	PUNCT
cuesj-43	81	7	(	(	PUNCT
cuesj-43	81	8	)	)	PUNCT
cuesj-43	81	9	)	)	PUNCT
cuesj-43	81	10	(	(	PUNCT
cuesj-43	81	11	,	,	PUNCT
cuesj-43	81	12	)	)	PUNCT
cuesj-43	81	13	(	(	PUNCT
cuesj-43	81	14	)	)	PUNCT
cuesj-43	81	15	(	(	PUNCT
cuesj-43	81	16	,	,	PUNCT
cuesj-43	81	17	)	)	PUNCT
cuesj-43	81	18	(	(	PUNCT
cuesj-43	81	19	)	)	SYM
cuesj-43	81	20	1	1	NUM
cuesj-43	81	21	2	2	NUM
cuesj-43	81	22	1	1	NUM
cuesj-43	81	23	200	200	NUM
cuesj-43	81	24	−	−	NOUN
cuesj-43	81	25	=	=	SYM
cuesj-43	81	26	−	−	NOUN
cuesj-43	81	27	≤	≤	NOUN
cuesj-43	82	1	∫∫	∫∫	ADV
cuesj-43	82	2	[	[	X
cuesj-43	82	3	[	[	X
cuesj-43	82	4	]	]	X
cuesj-43	82	5	p	p	X
cuesj-43	82	6	u	u	NOUN
cuesj-43	82	7	ui	ui	PROPN
cuesj-43	82	8	2	2	NUM
cuesj-43	82	9	1	1	NUM
cuesj-43	82	10	22	22	NUM
cuesj-43	82	11	−	−	NUM
cuesj-43	82	12	by	by	ADP
cuesj-43	82	13	suppose	suppose	VERB
cuesj-43	82	14	|kij(x	|kij(x	PROPN
cuesj-43	82	15	,	,	PUNCT
cuesj-43	82	16	t)u1(t)−kij(x	t)u1(t)−kij(x	NOUN
cuesj-43	82	17	,	,	PUNCT
cuesj-43	82	18	t)u2(t)|≤di|u1−u2|	t)u2(t)|≤di|u1−u2|	PROPN
cuesj-43	82	19	,	,	PUNCT
cuesj-43	82	20	then	then	ADV
cuesj-43	82	21	we	we	PRON
cuesj-43	82	22	get	get	VERB
cuesj-43	82	23	v	v	NUM
cuesj-43	82	24	u	u	NOUN
cuesj-43	82	25	x	x	SYM
cuesj-43	82	26	v	v	ADP
cuesj-43	82	27	u	u	NOUN
cuesj-43	82	28	x	x	PROPN
cuesj-43	82	29	d	d	X
cuesj-43	82	30	u	u	X
cuesj-43	82	31	u	u	NOUN
cuesj-43	82	32	dtdx	dtdx	PROPN
cuesj-43	83	1	d	d	X
cuesj-43	83	2	u	u	X
cuesj-43	83	3	u	u	NOUN
cuesj-43	83	4	dtdx	dtdx	PROPN
cuesj-43	84	1	d	d	X
cuesj-43	84	2	p	p	X
cuesj-43	85	1	i	i	PRON
cuesj-43	85	2	xp	xp	INTJ
cuesj-43	86	1	i	i	PRON
cuesj-43	86	2	xp	xp	INTJ
cuesj-43	87	1	i	i	PRON
cuesj-43	87	2	(	(	PUNCT
cuesj-43	87	3	(	(	PUNCT
cuesj-43	87	4	)	)	PUNCT
cuesj-43	87	5	)	)	PUNCT
cuesj-43	87	6	(	(	PUNCT
cuesj-43	87	7	(	(	PUNCT
cuesj-43	87	8	)	)	PUNCT
cuesj-43	87	9	)	)	PUNCT
cuesj-43	88	1	[	[	PUNCT
cuesj-43	88	2	1	1	NUM
cuesj-43	88	3	2	2	NUM
cuesj-43	88	4	1	1	NUM
cuesj-43	88	5	2	2	NUM
cuesj-43	88	6	00	00	NUM
cuesj-43	88	7	1	1	NUM
cuesj-43	88	8	2	2	NUM
cuesj-43	88	9	00	00	NUM
cuesj-43	88	10	−	−	PROPN
cuesj-43	88	11	≤	≤	NOUN
cuesj-43	88	12	−	−	NOUN
cuesj-43	89	1	=	=	SYM
cuesj-43	90	1	−	−	PROPN
cuesj-43	91	1	=	=	SYM
cuesj-43	92	1	∫∫	∫∫	PROPN
cuesj-43	92	2	∫∫	∫∫	ADV
cuesj-43	92	3	ii	ii	VERB
cuesj-43	92	4	u	u	NOUN
cuesj-43	92	5	u	u	NOUN
cuesj-43	92	6	2	2	NUM
cuesj-43	92	7	1	1	NUM
cuesj-43	92	8	22	22	NUM
cuesj-43	92	9	]	]	PUNCT
cuesj-43	92	10	−	−	PROPN
cuesj-43	93	1	now	now	ADV
cuesj-43	93	2	,	,	PUNCT
cuesj-43	93	3	v	v	X
cuesj-43	93	4	u	u	X
cuesj-43	93	5	x	x	SYM
cuesj-43	93	6	v	v	ADP
cuesj-43	93	7	u	u	NOUN
cuesj-43	93	8	x	x	X
cuesj-43	93	9	v	v	ADP
cuesj-43	93	10	f	f	X
cuesj-43	93	11	x	x	X
cuesj-43	94	1	k	k	NOUN
cuesj-43	94	2	x	x	SYM
cuesj-43	94	3	t	t	NOUN
cuesj-43	94	4	v	v	NUM
cuesj-43	94	5	u	u	NOUN
cuesj-43	94	6	t	t	NOUN
cuesj-43	94	7	dtdx	dtdx	NOUN
cuesj-43	95	1	v	v	INTJ
cuesj-43	95	2	i	i	PRON
cuesj-43	96	1	ij	ij	INTJ
cuesj-43	96	2	xp	xp	INTJ
cuesj-43	97	1	2	2	NUM
cuesj-43	97	2	1	1	NUM
cuesj-43	97	3	2	2	NUM
cuesj-43	97	4	2	2	NUM
cuesj-43	97	5	0	0	NUM
cuesj-43	97	6	1	1	NUM
cuesj-43	97	7	0	0	NUM
cuesj-43	97	8	(	(	PUNCT
cuesj-43	97	9	(	(	PUNCT
cuesj-43	97	10	)	)	PUNCT
cuesj-43	97	11	)	)	PUNCT
cuesj-43	97	12	(	(	PUNCT
cuesj-43	97	13	(	(	PUNCT
cuesj-43	97	14	)	)	PUNCT
cuesj-43	97	15	)	)	PUNCT
cuesj-43	97	16	(	(	PUNCT
cuesj-43	97	17	(	(	PUNCT
cuesj-43	97	18	)	)	PUNCT
cuesj-43	97	19	)	)	PUNCT
cuesj-43	97	20	(	(	PUNCT
cuesj-43	97	21	,	,	PUNCT
cuesj-43	97	22	)	)	PUNCT
cuesj-43	97	23	(	(	PUNCT
cuesj-43	97	24	(	(	PUNCT
cuesj-43	97	25	)	)	PUNCT
cuesj-43	97	26	)	)	PUNCT
cuesj-43	98	1	[	[	PUNCT
cuesj-43	98	2	−	−	PUNCT
cuesj-43	98	3	=	=	SYM
cuesj-43	99	1	+	+	NUM
cuesj-43	99	2	∫∫	∫∫	ADV
cuesj-43	99	3			NOUN
cuesj-43	99	4	(	(	PUNCT
cuesj-43	99	5	(	(	PUNCT
cuesj-43	99	6	(	(	PUNCT
cuesj-43	99	7	)	)	PUNCT
cuesj-43	99	8	)	)	PUNCT
cuesj-43	99	9	(	(	PUNCT
cuesj-43	99	10	,	,	PUNCT
cuesj-43	99	11	)	)	PUNCT
cuesj-43	99	12	(	(	PUNCT
cuesj-43	99	13	(	(	PUNCT
cuesj-43	99	14	)	)	PUNCT
cuesj-43	99	15	)	)	PUNCT
cuesj-43	99	16	]	]	PUNCT
cuesj-43	100	1	f	f	X
cuesj-43	101	1	x	x	X
cuesj-43	101	2	k	k	NOUN
cuesj-43	101	3	x	x	SYM
cuesj-43	101	4	t	t	NOUN
cuesj-43	101	5	v	v	NUM
cuesj-43	101	6	u	u	NOUN
cuesj-43	101	7	t	t	NOUN
cuesj-43	101	8	dtdx	dtdx	INTJ
cuesj-43	102	1	i	i	PRON
cuesj-43	102	2	ij	ij	INTJ
cuesj-43	102	3	xp	xp	INTJ
cuesj-43	102	4	−	−	PUNCT
cuesj-43	103	1	∫∫	∫∫	ADV
cuesj-43	103	2	00	00	NUM
cuesj-43	103	3	2	2	NUM
cuesj-43	103	4	=	=	NOUN
cuesj-43	103	5	−∫∫	−∫∫	NOUN
cuesj-43	103	6	k	k	NOUN
cuesj-43	104	1	x	x	SYM
cuesj-43	104	2	t	t	NOUN
cuesj-43	104	3	v	v	NUM
cuesj-43	104	4	u	u	NOUN
cuesj-43	104	5	t	t	NOUN
cuesj-43	104	6	v	v	NUM
cuesj-43	104	7	u	u	NOUN
cuesj-43	104	8	t	t	PROPN
cuesj-43	104	9	dtdxij	dtdxij	NOUN
cuesj-43	104	10	xp	xp	INTJ
cuesj-43	104	11	0	0	NUM
cuesj-43	104	12	1	1	NUM
cuesj-43	104	13	2	2	NUM
cuesj-43	104	14	0	0	NUM
cuesj-43	104	15	(	(	PUNCT
cuesj-43	104	16	,	,	PUNCT
cuesj-43	104	17	)	)	PUNCT
cuesj-43	104	18	(	(	PUNCT
cuesj-43	104	19	(	(	PUNCT
cuesj-43	104	20	(	(	PUNCT
cuesj-43	104	21	)	)	PUNCT
cuesj-43	104	22	)	)	PUNCT
cuesj-43	105	1	(	(	PUNCT
cuesj-43	105	2	(	(	PUNCT
cuesj-43	105	3	)	)	PUNCT
cuesj-43	105	4	)	)	PUNCT
cuesj-43	105	5	)	)	PUNCT
cuesj-43	105	6	v	v	X
cuesj-43	105	7	u	u	NOUN
cuesj-43	105	8	x	x	X
cuesj-43	105	9	v	v	ADP
cuesj-43	105	10	u	u	NOUN
cuesj-43	105	11	x	x	PROPN
cuesj-43	105	12	d	d	NOUN
cuesj-43	105	13	d	d	X
cuesj-43	105	14	p	p	X
cuesj-43	105	15	u	u	X
cuesj-43	105	16	u	u	NOUN
cuesj-43	105	17	dtdx	dtdx	PROPN
cuesj-43	106	1	d	d	X
cuesj-43	106	2	p	p	X
cuesj-43	106	3	u	u	X
cuesj-43	106	4	i	i	PRON
cuesj-43	106	5	i	i	INTJ
cuesj-43	106	6	x	x	VERB
cuesj-43	107	1	i	i	PRON
cuesj-43	107	2	p	p	X
cuesj-43	108	1	i	i	PRON
cuesj-43	108	2	i	i	PRON
cuesj-43	108	3	2	2	NUM
cuesj-43	108	4	1	1	NUM
cuesj-43	108	5	2	2	NUM
cuesj-43	108	6	2	2	NUM
cuesj-43	108	7	0	0	NUM
cuesj-43	108	8	2	2	NUM
cuesj-43	108	9	1	1	NUM
cuesj-43	108	10	2	2	NUM
cuesj-43	108	11	0	0	NUM
cuesj-43	108	12	2	2	NUM
cuesj-43	108	13	2	2	NUM
cuesj-43	108	14	1	1	NUM
cuesj-43	108	15	2	2	NUM
cuesj-43	108	16	2	2	NUM
cuesj-43	108	17	(	(	PUNCT
cuesj-43	108	18	(	(	PUNCT
cuesj-43	108	19	)	)	PUNCT
cuesj-43	108	20	)	)	PUNCT
cuesj-43	109	1	(	(	PUNCT
cuesj-43	109	2	(	(	PUNCT
cuesj-43	109	3	)	)	PUNCT
cuesj-43	109	4	)	)	PUNCT
cuesj-43	110	1	[	[	PUNCT
cuesj-43	110	2	]	]	X
cuesj-43	110	3	[	[	PUNCT
cuesj-43	110	4	]	]	X
cuesj-43	110	5	−	−	PROPN
cuesj-43	110	6	≤	≤	NUM
cuesj-43	110	7	−	−	NOUN
cuesj-43	110	8	≤	≤	NOUN
cuesj-43	110	9	−	−	PUNCT
cuesj-43	111	1	∫∫	∫∫	ADV
cuesj-43	111	2	uu	uu	INTJ
cuesj-43	111	3	dtdx	dtdx	NOUN
cuesj-43	112	1	d	d	X
cuesj-43	112	2	p	p	X
cuesj-43	112	3	u	u	X
cuesj-43	112	4	u	u	NOUN
cuesj-43	112	5	xp	xp	INTJ
cuesj-43	113	1	i	i	PRON
cuesj-43	113	2	i	i	VERB
cuesj-43	113	3	2	2	NUM
cuesj-43	113	4	00	00	NUM
cuesj-43	113	5	2	2	NUM
cuesj-43	113	6	4	4	NUM
cuesj-43	113	7	1	1	NUM
cuesj-43	113	8	24∫∫	24∫∫	NUM
cuesj-43	113	9	≤	≤	NOUN
cuesj-43	113	10	−	−	PROPN
cuesj-43	113	11	[	[	PUNCT
cuesj-43	113	12	]	]	X
cuesj-43	113	13	using	use	VERB
cuesj-43	113	14	mathematical	mathematical	ADJ
cuesj-43	113	15	induction	induction	NOUN
cuesj-43	113	16	,	,	PUNCT
cuesj-43	113	17	we	we	PRON
cuesj-43	113	18	obtain	obtain	VERB
cuesj-43	113	19	v	v	NUM
cuesj-43	113	20	u	u	NOUN
cuesj-43	113	21	x	x	X
cuesj-43	113	22	v	v	ADP
cuesj-43	113	23	u	u	NOUN
cuesj-43	113	24	x	x	PROPN
cuesj-43	113	25	d	d	X
cuesj-43	113	26	p	p	X
cuesj-43	113	27	u	u	X
cuesj-43	113	28	u	u	NOUN
cuesj-43	113	29	n	n	CCONJ
cuesj-43	113	30	n	n	NOUN
cuesj-43	113	31	i	i	PRON
cuesj-43	113	32	n	n	VERB
cuesj-43	113	33	i	i	PRON
cuesj-43	113	34	n	n	PROPN
cuesj-43	113	35	n	n	CCONJ
cuesj-43	113	36	(	(	PUNCT
cuesj-43	113	37	(	(	PUNCT
cuesj-43	113	38	)	)	PUNCT
cuesj-43	113	39	)	)	PUNCT
cuesj-43	114	1	(	(	PUNCT
cuesj-43	114	2	(	(	PUNCT
cuesj-43	114	3	)	)	PUNCT
cuesj-43	114	4	)	)	PUNCT
cuesj-43	115	1	[	[	PUNCT
cuesj-43	115	2	]	]	X
cuesj-43	115	3	.1	.1	NUM
cuesj-43	115	4	2	2	NUM
cuesj-43	115	5	2	2	NUM
cuesj-43	115	6	1	1	NUM
cuesj-43	115	7	22	22	NUM
cuesj-43	115	8	−	−	PROPN
cuesj-43	115	9	≤	≤	NOUN
cuesj-43	115	10	−	−	NOUN
cuesj-43	115	11	since	since	SCONJ
cuesj-43	115	12	by	by	AUX
cuesj-43	115	13	suppose	suppose	VERB
cuesj-43	115	14	0	0	NUM
cuesj-43	115	15	<	<	X
cuesj-43	115	16	di<1	di<1	NOUN
cuesj-43	115	17	and	and	CCONJ
cuesj-43	115	18	pi<1	pi<1	PROPN
cuesj-43	115	19	,	,	PUNCT
cuesj-43	115	20	then	then	ADV
cuesj-43	115	21	we	we	PRON
cuesj-43	115	22	obtain	obtain	VERB
cuesj-43	115	23	0	0	NUM
cuesj-43	115	24	<	<	X
cuesj-43	115	25	dipi<1	dipi<1	NOUN
cuesj-43	115	26	and	and	CCONJ
cuesj-43	115	27	0	0	NUM
cuesj-43	115	28	12	12	NUM
cuesj-43	115	29	<	<	X
cuesj-43	115	30	<	<	X
cuesj-43	115	31	d	d	X
cuesj-43	115	32	pi	pi	NOUN
cuesj-43	115	33	n	n	PROPN
cuesj-43	116	1	i	i	PRON
cuesj-43	116	2	n	n	VERB
cuesj-43	116	3	therefore	therefore	ADV
cuesj-43	116	4	0	0	NUM
cuesj-43	116	5	2	2	NUM
cuesj-43	116	6	1	1	NUM
cuesj-43	116	7	2	2	NUM
cuesj-43	116	8	<	<	X
cuesj-43	116	9	<	<	X
cuesj-43	116	10	d	d	X
cuesj-43	116	11	p	p	X
cuesj-43	116	12	i	i	PRON
cuesj-43	116	13	n	n	VERB
cuesj-43	116	14	i	i	PRON
cuesj-43	116	15	n	n	PROPN
cuesj-43	116	16	n	n	CCONJ
cuesj-43	116	17	[	[	PUNCT
cuesj-43	116	18	]	]	X
cuesj-43	116	19	then	then	ADV
cuesj-43	116	20	,	,	PUNCT
cuesj-43	116	21	by	by	ADP
cuesj-43	116	22	definition	definition	NOUN
cuesj-43	116	23	of	of	ADP
cuesj-43	116	24	contraction	contraction	NOUN
cuesj-43	116	25	vn	vn	PROPN
cuesj-43	116	26	is	be	AUX
cuesj-43	116	27	contraction	contraction	NOUN
cuesj-43	116	28	on	on	ADP
cuesj-43	116	29	.	.	PUNCT
cuesj-43	117	1	hasan	hasan	PROPN
cuesj-43	117	2	:	:	PUNCT
cuesj-43	117	3	cooperating	cooperate	VERB
cuesj-43	117	4	newton	newton	PROPN
cuesj-43	117	5	’s	’s	PART
cuesj-43	117	6	method	method	NOUN
cuesj-43	117	7	with	with	ADP
cuesj-43	117	8	series	series	NOUN
cuesj-43	117	9	solution	solution	NOUN
cuesj-43	117	10	method	method	NOUN
cuesj-43	117	11	29	29	NUM
cuesj-43	117	12	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	117	13	cuesj	cuesj	NOUN
cuesj-43	117	14	2019	2019	NUM
cuesj-43	117	15	,	,	PUNCT
cuesj-43	117	16	3	3	NUM
cuesj-43	117	17	(	(	PUNCT
cuesj-43	117	18	1	1	NUM
cuesj-43	117	19	):	):	PUNCT
cuesj-43	117	20	27	27	NUM
cuesj-43	117	21	-	-	SYM
cuesj-43	117	22	33	33	NUM
cuesj-43	117	23	new	new	ADJ
cuesj-43	117	24	theorem	theorem	NOUN
cuesj-43	117	25	(	(	PUNCT
cuesj-43	117	26	2	2	X
cuesj-43	117	27	)	)	PUNCT
cuesj-43	117	28	suppose	suppose	VERB
cuesj-43	117	29	that	that	SCONJ
cuesj-43	117	30	the	the	DET
cuesj-43	117	31	hypotheses	hypothesis	NOUN
cuesj-43	117	32	of	of	ADP
cuesj-43	117	33	theorem	theorem	NOUN
cuesj-43	117	34	(	(	PUNCT
cuesj-43	117	35	1	1	NUM
cuesj-43	117	36	)	)	PUNCT
cuesj-43	117	37	are	be	AUX
cuesj-43	117	38	holds	hold	NOUN
cuesj-43	117	39	;	;	PUNCT
cuesj-43	117	40	then	then	ADV
cuesj-43	117	41	,	,	PUNCT
cuesj-43	117	42	system	system	NOUN
cuesj-43	117	43	of	of	ADP
cuesj-43	117	44	mixed	mixed	ADJ
cuesj-43	117	45	volterra	volterra	NOUN
cuesj-43	117	46	-	-	PUNCT
cuesj-43	117	47	fredholm	fredholm	NOUN
cuesj-43	117	48	integral	integral	ADJ
cuesj-43	117	49	equation	equation	NOUN
cuesj-43	117	50	of	of	ADP
cuesj-43	117	51	the	the	DET
cuesj-43	117	52	second	second	ADJ
cuesj-43	117	53	kind	kind	NOUN
cuesj-43	117	54	has	have	VERB
cuesj-43	117	55	a	a	DET
cuesj-43	117	56	unique	unique	ADJ
cuesj-43	117	57	solution	solution	NOUN
cuesj-43	117	58	.	.	PUNCT
cuesj-43	118	1	proof	proof	NOUN
cuesj-43	118	2	:	:	PUNCT
cuesj-43	118	3	suppose	suppose	VERB
cuesj-43	118	4	that	that	SCONJ
cuesj-43	118	5	u1(x	u1(x	NOUN
cuesj-43	118	6	)	)	PUNCT
cuesj-43	118	7	and	and	CCONJ
cuesj-43	118	8	u2(x	u2(x	X
cuesj-43	118	9	)	)	PUNCT
cuesj-43	118	10	be	be	VERB
cuesj-43	118	11	any	any	DET
cuesj-43	118	12	two	two	NUM
cuesj-43	118	13	solution	solution	NOUN
cuesj-43	118	14	of	of	ADP
cuesj-43	118	15	slvfie-2	slvfie-2	PROPN
cuesj-43	118	16	.	.	PUNCT
cuesj-43	119	1	u	u	NOUN
cuesj-43	119	2	x	x	X
cuesj-43	119	3	f	f	NOUN
cuesj-43	119	4	x	x	X
cuesj-43	119	5	k	k	NOUN
cuesj-43	119	6	x	x	SYM
cuesj-43	119	7	t	t	X
cuesj-43	119	8	u	u	NOUN
cuesj-43	119	9	t	t	PROPN
cuesj-43	119	10	dtdxi	dtdxi	PROPN
cuesj-43	120	1	ij	ij	INTJ
cuesj-43	120	2	xp	xp	INTJ
cuesj-43	120	3	1	1	NUM
cuesj-43	120	4	0	0	NUM
cuesj-43	120	5	1	1	NUM
cuesj-43	120	6	0	0	NUM
cuesj-43	120	7	(	(	PUNCT
cuesj-43	120	8	)	)	PUNCT
cuesj-43	120	9	(	(	PUNCT
cuesj-43	120	10	)	)	PUNCT
cuesj-43	120	11	(	(	PUNCT
cuesj-43	120	12	,	,	PUNCT
cuesj-43	120	13	)	)	PUNCT
cuesj-43	120	14	(	(	PUNCT
cuesj-43	120	15	)	)	PUNCT
cuesj-43	120	16	=	=	SYM
cuesj-43	121	1	+	+	PUNCT
cuesj-43	121	2	∫∫	∫∫	ADV
cuesj-43	121	3	and	and	CCONJ
cuesj-43	121	4	u	u	X
cuesj-43	121	5	x	x	X
cuesj-43	121	6	f	f	NOUN
cuesj-43	121	7	x	x	X
cuesj-43	121	8	k	k	NOUN
cuesj-43	121	9	x	x	SYM
cuesj-43	121	10	t	t	X
cuesj-43	121	11	u	u	NOUN
cuesj-43	121	12	t	t	PROPN
cuesj-43	121	13	dtdxi	dtdxi	NOUN
cuesj-43	121	14	ij	ij	INTJ
cuesj-43	121	15	xp	xp	INTJ
cuesj-43	121	16	2	2	NUM
cuesj-43	121	17	0	0	NUM
cuesj-43	121	18	2	2	NUM
cuesj-43	121	19	0	0	NUM
cuesj-43	121	20	(	(	PUNCT
cuesj-43	121	21	)	)	PUNCT
cuesj-43	121	22	(	(	PUNCT
cuesj-43	121	23	)	)	PUNCT
cuesj-43	121	24	(	(	PUNCT
cuesj-43	121	25	,	,	PUNCT
cuesj-43	121	26	)	)	PUNCT
cuesj-43	121	27	(	(	PUNCT
cuesj-43	121	28	)	)	PUNCT
cuesj-43	121	29	=	=	SYM
cuesj-43	122	1	+	+	CCONJ
cuesj-43	122	2	∫∫	∫∫	ADV
cuesj-43	122	3	using	use	VERB
cuesj-43	122	4	theorem	theorem	NOUN
cuesj-43	122	5	(	(	PUNCT
cuesj-43	122	6	1	1	NUM
cuesj-43	122	7	)	)	PUNCT
cuesj-43	122	8	,	,	PUNCT
cuesj-43	122	9	we	we	PRON
cuesj-43	122	10	get	get	VERB
cuesj-43	122	11	v	v	NUM
cuesj-43	122	12	u	u	NOUN
cuesj-43	122	13	x	x	SYM
cuesj-43	122	14	v	v	ADP
cuesj-43	122	15	u	u	NOUN
cuesj-43	122	16	x	x	PROPN
cuesj-43	122	17	d	d	X
cuesj-43	122	18	p	p	X
cuesj-43	122	19	u	u	X
cuesj-43	122	20	u	u	NOUN
cuesj-43	122	21	n	n	CCONJ
cuesj-43	122	22	n	n	NOUN
cuesj-43	123	1	i	i	PRON
cuesj-43	124	1	n	n	VERB
cuesj-43	125	1	i	i	PRON
cuesj-43	125	2	n	n	PROPN
cuesj-43	125	3	n	n	CCONJ
cuesj-43	125	4	(	(	PUNCT
cuesj-43	125	5	(	(	PUNCT
cuesj-43	125	6	)	)	PUNCT
cuesj-43	125	7	)	)	PUNCT
cuesj-43	126	1	(	(	PUNCT
cuesj-43	126	2	(	(	PUNCT
cuesj-43	126	3	)	)	PUNCT
cuesj-43	126	4	)	)	PUNCT
cuesj-43	127	1	[	[	PUNCT
cuesj-43	127	2	]	]	SYM
cuesj-43	127	3	1	1	NUM
cuesj-43	127	4	2	2	NUM
cuesj-43	127	5	2	2	NUM
cuesj-43	127	6	1	1	NUM
cuesj-43	127	7	22	22	NUM
cuesj-43	127	8	−	−	NOUN
cuesj-43	127	9	≤	≤	NOUN
cuesj-43	127	10	−	−	PROPN
cuesj-43	127	11	since	since	SCONJ
cuesj-43	127	12	lim	lim	PROPN
cuesj-43	127	13	[	[	PUNCT
cuesj-43	127	14	]	]	X
cuesj-43	127	15	,	,	PUNCT
cuesj-43	127	16	n	n	CCONJ
cuesj-43	127	17	i	i	PRON
cuesj-43	127	18	n	n	VERB
cuesj-43	128	1	i	i	PRON
cuesj-43	128	2	n	n	VERB
cuesj-43	128	3	nd	nd	ADV
cuesj-43	128	4	p	p	X
cuesj-43	128	5	→∞	→∞	PROPN
cuesj-43	128	6	=	=	SYM
cuesj-43	128	7	2	2	NUM
cuesj-43	128	8	2	2	NUM
cuesj-43	128	9	0	0	NUM
cuesj-43	129	1	then	then	ADV
cuesj-43	129	2	we	we	PRON
cuesj-43	129	3	obtain	obtain	VERB
cuesj-43	129	4	vn(u1(x))=vn(u2(x	vn(u1(x))=vn(u2(x	NOUN
cuesj-43	129	5	)	)	PUNCT
cuesj-43	129	6	)	)	PUNCT
cuesj-43	129	7	,	,	PUNCT
cuesj-43	129	8	therefore	therefore	ADV
cuesj-43	129	9	u1(x)=u2(x	u1(x)=u2(x	PROPN
cuesj-43	129	10	)	)	PUNCT
cuesj-43	129	11	hence	hence	ADV
cuesj-43	129	12	,	,	PUNCT
cuesj-43	129	13	slvfie-2	slvfie-2	NUM
cuesj-43	129	14	has	have	VERB
cuesj-43	129	15	a	a	DET
cuesj-43	129	16	unique	unique	ADJ
cuesj-43	129	17	solution	solution	NOUN
cuesj-43	129	18	.	.	PUNCT
cuesj-43	130	1	algorithm	algorithm	NOUN
cuesj-43	130	2	for	for	ADP
cuesj-43	130	3	ssm	ssm	NOUN
cuesj-43	130	4	•	•	ADJ
cuesj-43	130	5	step	step	NOUN
cuesj-43	130	6	1	1	NUM
cuesj-43	130	7	:	:	PUNCT
cuesj-43	130	8	let	let	VERB
cuesj-43	130	9	the	the	DET
cuesj-43	130	10	numerical	numerical	ADJ
cuesj-43	130	11	solution	solution	NOUN
cuesj-43	130	12	of	of	ADP
cuesj-43	130	13	equation	equation	NOUN
cuesj-43	130	14	(	(	PUNCT
cuesj-43	130	15	1	1	NUM
cuesj-43	130	16	)	)	PUNCT
cuesj-43	130	17	as	as	ADP
cuesj-43	130	18	the	the	DET
cuesj-43	130	19	form	form	NOUN
cuesj-43	130	20	u	u	NOUN
cuesj-43	130	21	x	x	PROPN
cuesj-43	130	22	u	u	NOUN
cuesj-43	130	23	xi	xi	X
cuesj-43	131	1	i	i	PRON
cuesj-43	131	2	m	m	VERB
cuesj-43	131	3	i	i	PRON
cuesj-43	131	4	m	m	VERB
cuesj-43	131	5	m	m	VERB
cuesj-43	131	6	q	q	ADJ
cuesj-43	131	7	(	(	PUNCT
cuesj-43	131	8	)	)	PUNCT
cuesj-43	131	9	(	(	PUNCT
cuesj-43	131	10	)	)	PUNCT
cuesj-43	131	11	=	=	SYM
cuesj-43	132	1	=	=	PUNCT
cuesj-43	132	2	∑	∑	NOUN
cuesj-43	132	3	0	0	X
cuesj-43	132	4	,	,	PUNCT
cuesj-43	132	5	for	for	ADP
cuesj-43	132	6	i=1	i=1	PRON
cuesj-43	132	7	,	,	PUNCT
cuesj-43	132	8	2,	2,	NUM
cuesj-43	132	9	…	…	PUNCT
cuesj-43	132	10	,r	,r	NOUN
cuesj-43	132	11	.	.	PUNCT
cuesj-43	133	1	•	•	NUM
cuesj-43	133	2	step	step	NOUN
cuesj-43	133	3	2	2	NUM
cuesj-43	133	4	:	:	PUNCT
cuesj-43	133	5	by	by	ADP
cuesj-43	133	6	substituting	substitute	VERB
cuesj-43	133	7	equation	equation	NOUN
cuesj-43	133	8	(	(	PUNCT
cuesj-43	133	9	2	2	NUM
cuesj-43	133	10	)	)	PUNCT
cuesj-43	133	11	in	in	ADP
cuesj-43	133	12	equation	equation	NOUN
cuesj-43	133	13	(	(	PUNCT
cuesj-43	133	14	1	1	NUM
cuesj-43	133	15	)	)	PUNCT
cuesj-43	133	16	and	and	CCONJ
cuesj-43	133	17	calculating	calculate	VERB
cuesj-43	133	18	the	the	DET
cuesj-43	133	19	integrals	integral	NOUN
cuesj-43	133	20	of	of	ADP
cuesj-43	133	21	variables	variable	NOUN
cuesj-43	133	22	.	.	PUNCT
cuesj-43	134	1	•	•	NUM
cuesj-43	134	2	step	step	NOUN
cuesj-43	134	3	3	3	NUM
cuesj-43	134	4	:	:	PUNCT
cuesj-43	134	5	from	from	SCONJ
cuesj-43	134	6	both	both	DET
cuesj-43	134	7	sides	side	NOUN
cuesj-43	134	8	collect	collect	VERB
cuesj-43	134	9	and	and	CCONJ
cuesj-43	134	10	equate	equate	VERB
cuesj-43	134	11	the	the	DET
cuesj-43	134	12	terms	term	NOUN
cuesj-43	134	13	of	of	ADP
cuesj-43	134	14	the	the	DET
cuesj-43	134	15	same	same	ADJ
cuesj-43	134	16	power	power	NOUN
cuesj-43	134	17	for	for	ADP
cuesj-43	134	18	m=1	m=1	PROPN
cuesj-43	134	19	,	,	PUNCT
cuesj-43	134	20	2	2	NUM
cuesj-43	134	21	,	,	PUNCT
cuesj-43	134	22	3,	3,	ADJ
cuesj-43	134	23	…	…	SYM
cuesj-43	134	24	,q	,q	PROPN
cuesj-43	134	25	.	.	PUNCT
cuesj-43	135	1	•	•	NUM
cuesj-43	135	2	step	step	NOUN
cuesj-43	135	3	4	4	NUM
cuesj-43	135	4	:	:	PUNCT
cuesj-43	135	5	by	by	ADP
cuesj-43	135	6	solving	solve	VERB
cuesj-43	135	7	the	the	DET
cuesj-43	135	8	system	system	NOUN
cuesj-43	135	9	of	of	ADP
cuesj-43	135	10	algebraic	algebraic	ADJ
cuesj-43	135	11	equations	equation	NOUN
cuesj-43	135	12	with	with	ADP
cuesj-43	135	13	unknown	unknown	ADJ
cuesj-43	135	14	coefficients	coefficient	NOUN
cuesj-43	135	15	aim	aim	VERB
cuesj-43	135	16	.	.	PUNCT
cuesj-43	136	1	•	•	NUM
cuesj-43	136	2	step	step	NOUN
cuesj-43	136	3	5	5	NUM
cuesj-43	136	4	:	:	PUNCT
cuesj-43	136	5	substitute	substitute	VERB
cuesj-43	136	6	the	the	DET
cuesj-43	136	7	values	value	NOUN
cuesj-43	136	8	of	of	ADP
cuesj-43	136	9	aim	aim	NOUN
cuesj-43	136	10	,	,	PUNCT
cuesj-43	136	11	in	in	ADP
cuesj-43	136	12	equation	equation	NOUN
cuesj-43	136	13	(	(	PUNCT
cuesj-43	136	14	2	2	NUM
cuesj-43	136	15	)	)	PUNCT
cuesj-43	136	16	for	for	ADP
cuesj-43	136	17	getting	get	VERB
cuesj-43	136	18	the	the	DET
cuesj-43	136	19	numerical	numerical	ADJ
cuesj-43	136	20	solution	solution	NOUN
cuesj-43	136	21	of	of	ADP
cuesj-43	136	22	slmvfie-2	slmvfie-2	PROPN
cuesj-43	136	23	.	.	PUNCT
cuesj-43	137	1	numerical	numerical	ADJ
cuesj-43	137	2	examples	example	NOUN
cuesj-43	137	3	and	and	CCONJ
cuesj-43	137	4	results	result	NOUN
cuesj-43	137	5	in	in	ADP
cuesj-43	137	6	this	this	DET
cuesj-43	137	7	section	section	NOUN
cuesj-43	137	8	,	,	PUNCT
cuesj-43	137	9	illustrating	illustrate	VERB
cuesj-43	137	10	the	the	DET
cuesj-43	137	11	technique	technique	NOUN
cuesj-43	137	12	from	from	ADP
cuesj-43	137	13	numerical	numerical	ADJ
cuesj-43	137	14	examples	example	NOUN
cuesj-43	137	15	.	.	PUNCT
cuesj-43	138	1	example	example	NOUN
cuesj-43	138	2	(	(	PUNCT
cuesj-43	138	3	1	1	NUM
cuesj-43	138	4	):	):	PUNCT
cuesj-43	138	5	solve	solve	NOUN
cuesj-43	138	6	lsmvfie-2	lsmvfie-2	PROPN
cuesj-43	138	7	u	u	NOUN
cuesj-43	138	8	x	x	X
cuesj-43	138	9	e	e	NOUN
cuesj-43	138	10	x	x	X
cuesj-43	138	11	e	e	X
cuesj-43	138	12	xt	xt	ADP
cuesj-43	138	13	u	u	PROPN
cuesj-43	138	14	t	t	PROPN
cuesj-43	138	15	u	u	NOUN
cuesj-43	138	16	t	t	PROPN
cuesj-43	138	17	dtdxx	dtdxx	NOUN
cuesj-43	138	18	x	x	SYM
cuesj-43	138	19	1	1	NUM
cuesj-43	138	20	2	2	NUM
cuesj-43	138	21	1	1	NUM
cuesj-43	138	22	1	1	NUM
cuesj-43	138	23	2	2	NUM
cuesj-43	138	24	0	0	NUM
cuesj-43	138	25	1	1	NUM
cuesj-43	138	26	0	0	NUM
cuesj-43	138	27	2	2	NUM
cuesj-43	138	28	1	1	NUM
cuesj-43	138	29	(	(	PUNCT
cuesj-43	138	30	)	)	PUNCT
cuesj-43	138	31	(	(	PUNCT
cuesj-43	138	32	)	)	PUNCT
cuesj-43	138	33	(	(	PUNCT
cuesj-43	138	34	)	)	PUNCT
cuesj-43	138	35	(	(	PUNCT
cuesj-43	138	36	(	(	PUNCT
cuesj-43	138	37	)	)	PUNCT
cuesj-43	138	38	(	(	PUNCT
cuesj-43	138	39	)	)	PUNCT
cuesj-43	138	40	)	)	PUNCT
cuesj-43	138	41	=	=	SYM
cuesj-43	139	1	−	−	PROPN
cuesj-43	140	1	+	+	CCONJ
cuesj-43	140	2	−	−	PROPN
cuesj-43	141	1	+	+	CCONJ
cuesj-43	141	2	−∫∫	−∫∫	PROPN
cuesj-43	141	3	u	u	NOUN
cuesj-43	141	4	x	x	PROPN
cuesj-43	141	5	xe	xe	PROPN
cuesj-43	141	6	x	x	X
cuesj-43	141	7	e	e	NOUN
cuesj-43	141	8	x	x	PUNCT
cuesj-43	141	9	x	x	PUNCT
cuesj-43	141	10	u	u	NOUN
cuesj-43	141	11	t	t	X
cuesj-43	141	12	u	u	NOUN
cuesj-43	141	13	t	t	PROPN
cuesj-43	141	14	dtdxx	dtdxx	NOUN
cuesj-43	141	15	x	x	SYM
cuesj-43	141	16	2	2	NUM
cuesj-43	141	17	3	3	NUM
cuesj-43	141	18	1	1	NUM
cuesj-43	141	19	3	3	NUM
cuesj-43	141	20	2	2	NUM
cuesj-43	141	21	1	1	NUM
cuesj-43	141	22	2	2	NUM
cuesj-43	141	23	0	0	NUM
cuesj-43	141	24	1	1	NUM
cuesj-43	141	25	0	0	NUM
cuesj-43	141	26	2	2	NUM
cuesj-43	141	27	2	2	NUM
cuesj-43	141	28	3	3	NUM
cuesj-43	141	29	8	8	NUM
cuesj-43	141	30	3	3	NUM
cuesj-43	141	31	(	(	PUNCT
cuesj-43	141	32	)	)	PUNCT
cuesj-43	141	33	(	(	PUNCT
cuesj-43	141	34	)	)	PUNCT
cuesj-43	141	35	(	(	PUNCT
cuesj-43	141	36	(	(	PUNCT
cuesj-43	141	37	)	)	PUNCT
cuesj-43	141	38	(	(	PUNCT
cuesj-43	141	39	)	)	PUNCT
cuesj-43	141	40	)	)	PUNCT
cuesj-43	141	41	=	=	SYM
cuesj-43	142	1	−	−	PROPN
cuesj-43	143	1	+	+	CCONJ
cuesj-43	143	2	−	−	PROPN
cuesj-43	144	1	+	+	CCONJ
cuesj-43	144	2	−∫∫	−∫∫	PROPN
cuesj-43	144	3	using	use	VERB
cuesj-43	144	4	ssm	ssm	PROPN
cuesj-43	144	5	,	,	PUNCT
cuesj-43	144	6	where	where	SCONJ
cuesj-43	144	7	the	the	DET
cuesj-43	144	8	exact	exact	ADJ
cuesj-43	144	9	solutions	solution	NOUN
cuesj-43	144	10	u1(x)=−2ex	u1(x)=−2ex	NOUN
cuesj-43	144	11	and	and	CCONJ
cuesj-43	144	12	u2(x)=−2xex	u2(x)=−2xex	PROPN
cuesj-43	144	13	?	?	PUNCT
cuesj-43	144	14	figure	figure	NOUN
cuesj-43	144	15	2	2	NUM
cuesj-43	144	16	:	:	PUNCT
cuesj-43	144	17	(	(	PUNCT
cuesj-43	144	18	a	a	X
cuesj-43	144	19	)	)	PUNCT
cuesj-43	144	20	graphs	graph	NOUN
cuesj-43	144	21	of	of	ADP
cuesj-43	144	22	the	the	DET
cuesj-43	144	23	exact	exact	NOUN
cuesj-43	144	24	u1(x)=−2sin(x	u1(x)=−2sin(x	ADJ
cuesj-43	144	25	)	)	PUNCT
cuesj-43	144	26	and	and	CCONJ
cuesj-43	144	27	the	the	DET
cuesj-43	144	28	approximate	approximate	ADJ
cuesj-43	144	29	solutions	solution	NOUN
cuesj-43	144	30	.	.	PUNCT
cuesj-43	145	1	(	(	PUNCT
cuesj-43	145	2	b	b	X
cuesj-43	145	3	)	)	PUNCT
cuesj-43	145	4	graphs	graph	NOUN
cuesj-43	145	5	of	of	ADP
cuesj-43	145	6	the	the	DET
cuesj-43	145	7	exact	exact	ADJ
cuesj-43	145	8	u2(x)=−2cos(x	u2(x)=−2cos(x	NOUN
cuesj-43	145	9	)	)	PUNCT
cuesj-43	145	10	and	and	CCONJ
cuesj-43	145	11	the	the	DET
cuesj-43	145	12	approximate	approximate	ADJ
cuesj-43	145	13	solutions	solution	NOUN
cuesj-43	145	14	.	.	PUNCT
cuesj-43	146	1	(	(	PUNCT
cuesj-43	146	2	source	source	NOUN
cuesj-43	146	3	:	:	PUNCT
cuesj-43	146	4	created	create	VERB
cuesj-43	146	5	by	by	ADP
cuesj-43	146	6	researcher	researcher	NOUN
cuesj-43	146	7	)	)	PUNCT
cuesj-43	146	8	aq1	aq1	VERB
cuesj-43	146	9	ba	ba	PROPN
cuesj-43	146	10	figure	figure	NOUN
cuesj-43	146	11	1	1	NUM
cuesj-43	146	12	:	:	PUNCT
cuesj-43	146	13	(	(	PUNCT
cuesj-43	146	14	a	a	X
cuesj-43	146	15	)	)	PUNCT
cuesj-43	146	16	graphs	graph	NOUN
cuesj-43	146	17	of	of	ADP
cuesj-43	146	18	the	the	DET
cuesj-43	146	19	exact	exact	ADJ
cuesj-43	146	20	u1(x)=−2ex	u1(x)=−2ex	NOUN
cuesj-43	146	21	and	and	CCONJ
cuesj-43	146	22	the	the	DET
cuesj-43	146	23	approximate	approximate	ADJ
cuesj-43	146	24	solutions	solution	NOUN
cuesj-43	146	25	.	.	PUNCT
cuesj-43	147	1	(	(	PUNCT
cuesj-43	147	2	b	b	X
cuesj-43	147	3	)	)	PUNCT
cuesj-43	147	4	graphs	graph	NOUN
cuesj-43	147	5	of	of	ADP
cuesj-43	147	6	the	the	DET
cuesj-43	147	7	exact	exact	ADJ
cuesj-43	147	8	u2(x)=−2xex	u2(x)=−2xex	PROPN
cuesj-43	147	9	and	and	CCONJ
cuesj-43	147	10	the	the	DET
cuesj-43	147	11	approximate	approximate	ADJ
cuesj-43	147	12	solutions	solution	NOUN
cuesj-43	147	13	.	.	PUNCT
cuesj-43	148	1	(	(	PUNCT
cuesj-43	148	2	source	source	NOUN
cuesj-43	148	3	:	:	PUNCT
cuesj-43	148	4	created	create	VERB
cuesj-43	148	5	by	by	ADP
cuesj-43	148	6	researcher	researcher	NOUN
cuesj-43	148	7	)	)	PUNCT
cuesj-43	148	8	aq1	aq1	VERB
cuesj-43	148	9	b	b	PROPN
cuesj-43	148	10	a	a	DET
cuesj-43	148	11	hasan	hasan	PROPN
cuesj-43	148	12	:	:	PUNCT
cuesj-43	148	13	cooperating	cooperate	VERB
cuesj-43	148	14	newton	newton	PROPN
cuesj-43	148	15	’s	’s	PART
cuesj-43	148	16	method	method	NOUN
cuesj-43	148	17	with	with	ADP
cuesj-43	148	18	series	series	NOUN
cuesj-43	148	19	solution	solution	NOUN
cuesj-43	148	20	method	method	NOUN
cuesj-43	148	21	30	30	NUM
cuesj-43	148	22	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	148	23	cuesj	cuesj	NOUN
cuesj-43	148	24	2019	2019	NUM
cuesj-43	148	25	,	,	PUNCT
cuesj-43	148	26	3	3	NUM
cuesj-43	148	27	(	(	PUNCT
cuesj-43	148	28	1	1	NUM
cuesj-43	148	29	):	):	PUNCT
cuesj-43	148	30	27	27	NUM
cuesj-43	148	31	-	-	SYM
cuesj-43	148	32	33	33	NUM
cuesj-43	148	33	solution	solution	NOUN
cuesj-43	148	34	:	:	PUNCT
cuesj-43	148	35	let	let	VERB
cuesj-43	148	36	u	u	PRON
cuesj-43	148	37	x	x	VERB
cuesj-43	148	38	u	u	NOUN
cuesj-43	148	39	xm	xm	PROPN
cuesj-43	148	40	m	m	VERB
cuesj-43	148	41	m	m	VERB
cuesj-43	148	42	q	q	ADJ
cuesj-43	148	43	1	1	NUM
cuesj-43	148	44	1	1	NUM
cuesj-43	148	45	1	1	NUM
cuesj-43	148	46	0	0	NUM
cuesj-43	148	47	(	(	PUNCT
cuesj-43	148	48	)	)	PUNCT
cuesj-43	148	49	(	(	PUNCT
cuesj-43	148	50	)	)	PUNCT
cuesj-43	148	51	=	=	SYM
cuesj-43	149	1	=	=	NOUN
cuesj-43	149	2	∑	∑	PROPN
cuesj-43	149	3	then	then	ADV
cuesj-43	149	4	,	,	PUNCT
cuesj-43	149	5	using	use	VERB
cuesj-43	149	6	ssm	ssm	NOUN
cuesj-43	149	7	,	,	PUNCT
cuesj-43	149	8	obtaining	obtain	VERB
cuesj-43	149	9	the	the	DET
cuesj-43	149	10	values	value	NOUN
cuesj-43	149	11	of	of	ADP
cuesj-43	149	12	coefficients	coefficient	NOUN
cuesj-43	149	13	a10=−2	a10=−2	PROPN
cuesj-43	149	14	,	,	PUNCT
cuesj-43	149	15	a11=−2	a11=−2	PROPN
cuesj-43	149	16	,	,	PUNCT
cuesj-43	149	17	a12=−1	a12=−1	PROPN
cuesj-43	149	18	,	,	PUNCT
cuesj-43	149	19	a13=−0.3333	a13=−0.3333	PROPN
cuesj-43	149	20	,	,	PUNCT
cuesj-43	149	21	a14=−0.083333	a14=−0.083333	NOUN
cuesj-43	149	22	and	and	CCONJ
cuesj-43	149	23	a15=−0.03333	a15=−0.03333	PROPN
cuesj-43	149	24	,	,	PUNCT
cuesj-43	149	25	for	for	ADP
cuesj-43	149	26	u	u	NOUN
cuesj-43	149	27	x	x	X
cuesj-43	149	28	u	u	NOUN
cuesj-43	149	29	xm	xm	PROPN
cuesj-43	149	30	m	m	VERB
cuesj-43	149	31	m	m	VERB
cuesj-43	149	32	q	q	ADJ
cuesj-43	149	33	2	2	NUM
cuesj-43	149	34	2	2	NUM
cuesj-43	149	35	2	2	NUM
cuesj-43	149	36	0	0	NUM
cuesj-43	149	37	(	(	PUNCT
cuesj-43	149	38	)	)	PUNCT
cuesj-43	149	39	(	(	PUNCT
cuesj-43	149	40	)	)	PUNCT
cuesj-43	149	41	=	=	SYM
cuesj-43	150	1	=	=	NOUN
cuesj-43	150	2	∑	∑	PROPN
cuesj-43	150	3	then	then	ADV
cuesj-43	150	4	,	,	PUNCT
cuesj-43	150	5	using	use	VERB
cuesj-43	150	6	ssm	ssm	NOUN
cuesj-43	150	7	,	,	PUNCT
cuesj-43	150	8	obtaining	obtain	VERB
cuesj-43	150	9	the	the	DET
cuesj-43	150	10	values	value	NOUN
cuesj-43	150	11	of	of	ADP
cuesj-43	150	12	coefficients	coefficient	NOUN
cuesj-43	150	13	a20=0	a20=0	PROPN
cuesj-43	150	14	,	,	PUNCT
cuesj-43	150	15	a21=−2	a21=−2	PROPN
cuesj-43	150	16	,	,	PUNCT
cuesj-43	150	17	a22=−2	a22=−2	PROPN
cuesj-43	150	18	,	,	PUNCT
cuesj-43	150	19	a23=−1	a23=−1	ADP
cuesj-43	150	20	,	,	PUNCT
cuesj-43	150	21	a24=−0.33333	a24=−0.33333	PROPN
cuesj-43	150	22	and	and	CCONJ
cuesj-43	150	23	a25=−0.08333	a25=−0.08333	PROPN
cuesj-43	150	24	example	example	NOUN
cuesj-43	150	25	(	(	PUNCT
cuesj-43	150	26	2	2	NUM
cuesj-43	150	27	):	):	PUNCT
cuesj-43	150	28	solve	solve	NOUN
cuesj-43	150	29	lsmvfie-2	lsmvfie-2	PROPN
cuesj-43	150	30	�	�	NOUN
cuesj-43	150	31	�	�	PROPN
cuesj-43	150	32	(	(	PUNCT
cuesj-43	150	33	)	)	PUNCT
cuesj-43	150	34	(	(	PUNCT
cuesj-43	150	35	)	)	PUNCT
cuesj-43	150	36	sin	sin	NOUN
cuesj-43	150	37	(	(	PUNCT
cuesj-43	150	38	)	)	PUNCT
cuesj-43	150	39	(	(	PUNCT
cuesj-43	150	40	)	)	PUNCT
cuesj-43	150	41	(	(	PUNCT
cuesj-43	150	42	sin	sin	NOUN
cuesj-43	150	43	(	(	PUNCT
cuesj-43	150	44	)	)	PUNCT
cuesj-43	150	45	cos	cos	PROPN
cuesj-43	150	46	(	(	PUNCT
cuesj-43	150	47	)	)	PUNCT
cuesj-43	150	48	)	)	PUNCT
cuesj-43	151	1	u	u	NOUN
cuesj-43	151	2	x	x	NOUN
cuesj-43	151	3	x	x	PUNCT
cuesj-43	151	4	x	x	PUNCT
cuesj-43	151	5	x	x	PUNCT
cuesj-43	151	6	x	x	SYM
cuesj-43	151	7	t	t	NOUN
cuesj-43	151	8	t	t	X
cuesj-43	151	9	u	u	NOUN
cuesj-43	151	10	dtdx	dtdx	NOUN
cuesj-43	151	11	x	x	NOUN
cuesj-43	151	12	1	1	NUM
cuesj-43	151	13	2	2	NUM
cuesj-43	151	14	2	2	NUM
cuesj-43	151	15	0	0	NUM
cuesj-43	151	16	0	0	NUM
cuesj-43	151	17	2	2	NUM
cuesj-43	151	18	2	2	NUM
cuesj-43	151	19	2=	2=	NUM
cuesj-43	151	20	−	−	ADP
cuesj-43	151	21	−	−	PROPN
cuesj-43	152	1	+	+	CCONJ
cuesj-43	152	2	−	−	PROPN
cuesj-43	152	3	∫	∫	PROPN
cuesj-43	152	4	∫	∫	PROPN
cuesj-43	152	5			PROPN
cuesj-43	152	6	�	�	PROPN
cuesj-43	152	7	�	�	PROPN
cuesj-43	152	8	(	(	PUNCT
cuesj-43	152	9	)	)	PUNCT
cuesj-43	152	10	(	(	PUNCT
cuesj-43	152	11	)	)	PUNCT
cuesj-43	152	12	cos	cos	PROPN
cuesj-43	152	13	(	(	PUNCT
cuesj-43	152	14	)	)	PUNCT
cuesj-43	152	15	(	(	PUNCT
cuesj-43	152	16	)	)	PUNCT
cuesj-43	152	17	(	(	PUNCT
cuesj-43	152	18	sin	sin	NOUN
cuesj-43	152	19	(	(	PUNCT
cuesj-43	152	20	)	)	PUNCT
cuesj-43	152	21	cos	cos	PROPN
cuesj-43	152	22	(	(	PUNCT
cuesj-43	152	23	)	)	PUNCT
cuesj-43	152	24	)	)	PUNCT
cuesj-43	152	25	u	u	NOUN
cuesj-43	152	26	x	x	NOUN
cuesj-43	152	27	x	x	PUNCT
cuesj-43	152	28	x	x	SYM
cuesj-43	152	29	x	x	SYM
cuesj-43	152	30	t	t	NOUN
cuesj-43	152	31	t	t	PROPN
cuesj-43	152	32	t	t	PROPN
cuesj-43	152	33	u	u	PRON
cuesj-43	152	34	dtdx	dtdx	NOUN
cuesj-43	152	35	x	x	PROPN
cuesj-43	152	36	2	2	NUM
cuesj-43	152	37	10	10	NUM
cuesj-43	152	38	0	0	NUM
cuesj-43	152	39	2	2	NUM
cuesj-43	152	40	2=	2=	NUM
cuesj-43	152	41	−	−	ADP
cuesj-43	152	42	−	−	PROPN
cuesj-43	153	1	+	+	CCONJ
cuesj-43	153	2	−	−	PROPN
cuesj-43	153	3	∫	∫	PROPN
cuesj-43	153	4	∫	∫	PROPN
cuesj-43	153	5			NOUN
cuesj-43	153	6	using	use	VERB
cuesj-43	153	7	ssm	ssm	PROPN
cuesj-43	153	8	,	,	PUNCT
cuesj-43	153	9	where	where	SCONJ
cuesj-43	153	10	the	the	DET
cuesj-43	153	11	exact	exact	ADJ
cuesj-43	153	12	solutions	solution	NOUN
cuesj-43	153	13	u1(x)=−2sin(x	u1(x)=−2sin(x	ADJ
cuesj-43	153	14	)	)	PUNCT
cuesj-43	153	15	and	and	CCONJ
cuesj-43	153	16	u2(x)=−2cos(x	u2(x)=−2cos(x	NOUN
cuesj-43	153	17	)	)	PUNCT
cuesj-43	153	18	?	?	PUNCT
cuesj-43	154	1	table	table	NOUN
cuesj-43	154	2	1	1	NUM
cuesj-43	154	3	:	:	PUNCT
cuesj-43	154	4	comparison	comparison	NOUN
cuesj-43	154	5	between	between	ADP
cuesj-43	154	6	the	the	DET
cuesj-43	154	7	exact	exact	ADJ
cuesj-43	154	8	and	and	CCONJ
cuesj-43	154	9	numerical	numerical	ADJ
cuesj-43	154	10	results	result	NOUN
cuesj-43	154	11	x	x	NOUN
cuesj-43	154	12	m	m	VERB
cuesj-43	154	13	exact	exact	ADJ
cuesj-43	154	14	solution	solution	NOUN
cuesj-43	154	15	of	of	ADP
cuesj-43	154	16	u1(x)=−2ex	u1(x)=−2ex	ADJ
cuesj-43	154	17	approximate	approximate	ADJ
cuesj-43	154	18	value	value	NOUN
cuesj-43	154	19	of	of	ADP
cuesj-43	154	20	u1(x	u1(x	NOUN
cuesj-43	154	21	)	)	PUNCT
cuesj-43	154	22	absolute	absolute	ADJ
cuesj-43	154	23	error	error	NOUN
cuesj-43	154	24	m+1	m+1	X
cuesj-43	154	25	m+1	m+1	NUM
cuesj-43	154	26	i	i	PRON
cuesj-43	154	27	i	i	PRON
cuesj-43	154	28	ie	ie	X
cuesj-43	154	29	=	=	ADJ
cuesj-43	154	30	u	u	PROPN
cuesj-43	154	31	(	(	PUNCT
cuesj-43	154	32	x	x	NOUN
cuesj-43	154	33	)	)	PUNCT
cuesj-43	154	34	u	u	NOUN
cuesj-43	154	35	(	(	PUNCT
cuesj-43	154	36	x	x	NOUN
cuesj-43	154	37	)	)	PUNCT
cuesj-43	154	38	exact	exact	ADJ
cuesj-43	154	39	solution	solution	NOUN
cuesj-43	154	40	of	of	ADP
cuesj-43	154	41	u2(x)=−2xex	u2(x)=−2xex	ADJ
cuesj-43	154	42	approximate	approximate	ADJ
cuesj-43	154	43	value	value	NOUN
cuesj-43	154	44	of	of	ADP
cuesj-43	154	45	u2(x	u2(x	NOUN
cuesj-43	154	46	)	)	PUNCT
cuesj-43	154	47	absolute	absolute	ADJ
cuesj-43	154	48	error	error	NOUN
cuesj-43	154	49	m+1	m+1	X
cuesj-43	154	50	m+1	m+1	NUM
cuesj-43	155	1	i	i	PRON
cuesj-43	155	2	i	i	PRON
cuesj-43	155	3	ie	ie	X
cuesj-43	155	4	=	=	ADJ
cuesj-43	155	5	u	u	PROPN
cuesj-43	155	6	(	(	PUNCT
cuesj-43	155	7	x	x	NOUN
cuesj-43	155	8	)	)	PUNCT
cuesj-43	155	9	u	u	NOUN
cuesj-43	155	10	(	(	PUNCT
cuesj-43	155	11	x	x	NOUN
cuesj-43	155	12	)	)	PUNCT
cuesj-43	155	13	0.2	0.2	NUM
cuesj-43	155	14	1	1	NUM
cuesj-43	155	15	3	3	NUM
cuesj-43	155	16	5	5	NUM
cuesj-43	155	17	7	7	NUM
cuesj-43	155	18	9	9	NUM
cuesj-43	155	19	11	11	NUM
cuesj-43	155	20	13	13	NUM
cuesj-43	155	21	15	15	NUM
cuesj-43	155	22	−2.44280551	−2.44280551	NOUN
cuesj-43	155	23	−2.44280551	−2.44280551	NOUN
cuesj-43	155	24	−2.44280551	−2.44280551	X
cuesj-43	155	25	−2.44280551	−2.44280551	X
cuesj-43	155	26	−2.44280551	−2.44280551	X
cuesj-43	155	27	−2.44280551	−2.44280551	X
cuesj-43	155	28	−2.44280551	−2.44280551	X
cuesj-43	155	29	−2.44280551	−2.44280551	X
cuesj-43	155	30	−2.40000000	−2.40000000	NUM
cuesj-43	155	31	−2.44266666	−2.44266666	PROPN
cuesj-43	155	32	−2.44280533	−2.44280533	NUM
cuesj-43	155	33	−2.44280551	−2.44280551	X
cuesj-43	155	34	−2.44280551	−2.44280551	NOUN
cuesj-43	155	35	−2.44280551	−2.44280551	X
cuesj-43	155	36	−2.44280551	−2.44280551	X
cuesj-43	155	37	−2.44280551	−2.44280551	NOUN
cuesj-43	156	1	4.2805×10−2	4.2805×10−2	NUM
cuesj-43	156	2	10.3884×10−4	10.3884×10−4	NUM
cuesj-43	156	3	1.8298×10−7	1.8298×10−7	NUM
cuesj-43	156	4	1.2986×10−9	1.2986×10−9	NUM
cuesj-43	156	5	1.1653×10−12	1.1653×10−12	NUM
cuesj-43	156	6	6.7659×10−14	6.7659×10−14	NUM
cuesj-43	156	7	5.3362×10−16	5.3362×10−16	NUM
cuesj-43	156	8	3.6521×10−18	3.6521×10−18	NUM
cuesj-43	157	1	−0.48856110	−0.48856110	NOUN
cuesj-43	157	2	−0.48856110	−0.48856110	NOUN
cuesj-43	157	3	−0.48856110	−0.48856110	NOUN
cuesj-43	157	4	−0.48856110	−0.48856110	NOUN
cuesj-43	157	5	−0.48856110	−0.48856110	NOUN
cuesj-43	157	6	−0.48856110	−0.48856110	NOUN
cuesj-43	157	7	−0.48856110	−0.48856110	NOUN
cuesj-43	157	8	−0.48856110	−0.48856110	NOUN
cuesj-43	157	9	−0.45344832	−0.45344832	X
cuesj-43	157	10	−0.48898815	−0.48898815	X
cuesj-43	157	11	−0.48856177	−0.48856177	X
cuesj-43	157	12	−0.48856110	−0.48856110	NOUN
cuesj-43	157	13	−0.48856110	−0.48856110	NOUN
cuesj-43	157	14	−0.48856110	−0.48856110	NOUN
cuesj-43	157	15	−0.48856110	−0.48856110	NOUN
cuesj-43	157	16	−0.48856110	−0.48856110	ADJ
cuesj-43	157	17	3.5611×10−2	3.5611×10−2	NUM
cuesj-43	157	18	4.2735×10−4	4.2735×10−4	NUM
cuesj-43	157	19	6.7527×10−7	6.7527×10−7	NOUN
cuesj-43	157	20	2.5998×10−9	2.5998×10−9	NUM
cuesj-43	157	21	5.8432×10−11	5.8432×10−11	NUM
cuesj-43	157	22	3.4562×10−13	3.4562×10−13	NUM
cuesj-43	157	23	4.6783×10−15	4.6783×10−15	NUM
cuesj-43	157	24	2.3351×10−17	2.3351×10−17	NUM
cuesj-43	157	25	table	table	NOUN
cuesj-43	157	26	2	2	NUM
cuesj-43	157	27	:	:	PUNCT
cuesj-43	157	28	comparison	comparison	NOUN
cuesj-43	157	29	between	between	ADP
cuesj-43	157	30	the	the	DET
cuesj-43	157	31	exact	exact	ADJ
cuesj-43	157	32	and	and	CCONJ
cuesj-43	157	33	numerical	numerical	ADJ
cuesj-43	157	34	results	result	NOUN
cuesj-43	157	35	x	x	NOUN
cuesj-43	157	36	m	m	VERB
cuesj-43	157	37	exact	exact	ADJ
cuesj-43	157	38	solution	solution	NOUN
cuesj-43	157	39	of	of	ADP
cuesj-43	157	40	u1(x)=−2sin	u1(x)=−2sin	PROPN
cuesj-43	157	41	 	 	SPACE
cuesj-43	157	42	(	(	PUNCT
cuesj-43	157	43	x	x	NOUN
cuesj-43	157	44	)	)	PUNCT
cuesj-43	157	45	approximate	approximate	ADJ
cuesj-43	157	46	value	value	NOUN
cuesj-43	157	47	of	of	ADP
cuesj-43	157	48	u1(x	u1(x	NOUN
cuesj-43	157	49	)	)	PUNCT
cuesj-43	157	50	absolute	absolute	ADJ
cuesj-43	157	51	error	error	NOUN
cuesj-43	157	52	m+1	m+1	X
cuesj-43	157	53	m+1	m+1	NUM
cuesj-43	157	54	i	i	PRON
cuesj-43	157	55	i	i	PRON
cuesj-43	157	56	ie	ie	X
cuesj-43	157	57	=	=	ADJ
cuesj-43	157	58	u	u	PROPN
cuesj-43	157	59	(	(	PUNCT
cuesj-43	157	60	x	x	NOUN
cuesj-43	157	61	)	)	PUNCT
cuesj-43	157	62	u	u	NOUN
cuesj-43	157	63	(	(	PUNCT
cuesj-43	157	64	x	x	NOUN
cuesj-43	157	65	)	)	PUNCT
cuesj-43	157	66	exact	exact	ADJ
cuesj-43	157	67	solution	solution	NOUN
cuesj-43	157	68	of	of	ADP
cuesj-43	157	69	u2(x)=−2cos	u2(x)=−2co	NOUN
cuesj-43	157	70	 	 	SPACE
cuesj-43	157	71	(	(	PUNCT
cuesj-43	157	72	x	x	NOUN
cuesj-43	157	73	)	)	PUNCT
cuesj-43	157	74	approximate	approximate	ADJ
cuesj-43	157	75	value	value	NOUN
cuesj-43	157	76	of	of	ADP
cuesj-43	157	77	u2(x	u2(x	NOUN
cuesj-43	157	78	)	)	PUNCT
cuesj-43	157	79	absolute	absolute	ADJ
cuesj-43	157	80	error	error	NOUN
cuesj-43	157	81	m+1	m+1	X
cuesj-43	157	82	m+1	m+1	NUM
cuesj-43	157	83	i	i	PRON
cuesj-43	157	84	i	i	PRON
cuesj-43	157	85	ie	ie	X
cuesj-43	157	86	=	=	ADJ
cuesj-43	157	87	u	u	PROPN
cuesj-43	157	88	(	(	PUNCT
cuesj-43	157	89	x	x	NOUN
cuesj-43	157	90	)	)	PUNCT
cuesj-43	157	91	u	u	NOUN
cuesj-43	157	92	(	(	PUNCT
cuesj-43	157	93	x	x	NOUN
cuesj-43	157	94	)	)	PUNCT
cuesj-43	157	95	8	8	NUM
cuesj-43	157	96	π	π	NOUN
cuesj-43	157	97	1	1	NUM
cuesj-43	157	98	3	3	NUM
cuesj-43	157	99	5	5	NUM
cuesj-43	157	100	7	7	NUM
cuesj-43	157	101	9	9	NUM
cuesj-43	157	102	11	11	NUM
cuesj-43	157	103	13	13	NUM
cuesj-43	157	104	15	15	NUM
cuesj-43	157	105	−0.76366864	−0.76366864	NUM
cuesj-43	157	106	−0.76366864	−0.76366864	PROPN
cuesj-43	157	107	−0.76366864	−0.76366864	PROPN
cuesj-43	157	108	−0.76366864	−0.76366864	PROPN
cuesj-43	157	109	−0.76366864	−0.76366864	PROPN
cuesj-43	157	110	−0.76366864	−0.76366864	PROPN
cuesj-43	157	111	−0.76366864	−0.76366864	PROPN
cuesj-43	157	112	−0.76366864	−0.76366864	PROPN
cuesj-43	157	113	−0.78539816	−0.78539816	PROPN
cuesj-43	157	114	−0.76211785	−0.76211785	X
cuesj-43	157	115	−0.76536743	−0.76536743	X
cuesj-43	157	116	−0.76536686	−0.76536686	X
cuesj-43	157	117	−0.76536686	−0.76536686	X
cuesj-43	157	118	−0.76536686	−0.76536686	X
cuesj-43	157	119	−0.76536686	−0.76536686	X
cuesj-43	157	120	−0.76536686	−0.76536686	X
cuesj-43	157	121	2.0031×10−2	2.0031×10−2	NUM
cuesj-43	157	122	1.5507×10−4	1.5507×10−4	NUM
cuesj-43	157	123	5.7028×10−6	5.7028×10−6	NUM
cuesj-43	157	124	2.6223×10−8	2.6223×10−8	NUM
cuesj-43	157	125	1.7146×10−10	1.7146×10−10	NUM
cuesj-43	157	126	2.2083×10−12	2.2083×10−12	NUM
cuesj-43	157	127	5.0679×10−14	5.0679×10−14	NUM
cuesj-43	157	128	3.6582×10−16	3.6582×10−16	NUM
cuesj-43	157	129	−1.84775906	−1.84775906	X
cuesj-43	157	130	−1.84775906	−1.84775906	X
cuesj-43	157	131	−1.84775906	−1.84775906	X
cuesj-43	157	132	−1.84775906	−1.84775906	X
cuesj-43	157	133	−1.84775906	−1.84775906	X
cuesj-43	157	134	−1.84775906	−1.84775906	X
cuesj-43	157	135	−1.84775906	−1.84775906	X
cuesj-43	157	136	−1.84775906	−1.84775906	SYM
cuesj-43	157	137	−2.00000000	−2.00000000	NUM
cuesj-43	157	138	−1.84578731	−1.84578731	NOUN
cuesj-43	157	139	−1.84776922	−1.84776922	X
cuesj-43	157	140	−1.84775903	−1.84775903	PROPN
cuesj-43	157	141	−1.84775906	−1.84775906	X
cuesj-43	157	142	−1.84775906	−1.84775906	X
cuesj-43	157	143	−1.84775906	−1.84775906	X
cuesj-43	157	144	−1.84775906	−1.84775906	X
cuesj-43	157	145	1.5224×10−1	1.5224×10−1	NUM
cuesj-43	157	146	1.9716×10−3	1.9716×10−3	NUM
cuesj-43	157	147	1.0159×10−5	1.0159×10−5	NUM
cuesj-43	157	148	2.8005×10−7	2.8005×10−7	NUM
cuesj-43	157	149	4.8013×10−9	4.8013×10−9	NOUN
cuesj-43	157	150	5.6301×10−11	5.6301×10−11	NUM
cuesj-43	157	151	3.9014×10−13	3.9014×10−13	NUM
cuesj-43	157	152	4.3382×10−15	4.3382×10−15	NUM
cuesj-43	157	153	table	table	NOUN
cuesj-43	157	154	3	3	NUM
cuesj-43	157	155	:	:	PUNCT
cuesj-43	157	156	comparison	comparison	NOUN
cuesj-43	157	157	between	between	ADP
cuesj-43	157	158	the	the	DET
cuesj-43	157	159	exact	exact	ADJ
cuesj-43	157	160	and	and	CCONJ
cuesj-43	157	161	numerical	numerical	ADJ
cuesj-43	157	162	results	result	NOUN
cuesj-43	157	163	x	x	X
cuesj-43	157	164	q	q	NOUN
cuesj-43	157	165	exact	exact	ADJ
cuesj-43	157	166	solution	solution	NOUN
cuesj-43	157	167	of	of	ADP
cuesj-43	157	168	u1(x)=−2e	u1(x)=−2e	PROPN
cuesj-43	157	169	x	x	SYM
cuesj-43	157	170	approximate	approximate	ADJ
cuesj-43	157	171	value	value	NOUN
cuesj-43	157	172	of	of	ADP
cuesj-43	157	173	u1(x	u1(x	NOUN
cuesj-43	157	174	)	)	PUNCT
cuesj-43	157	175	absolute	absolute	ADJ
cuesj-43	157	176	error	error	NOUN
cuesj-43	157	177	p	p	X
cuesj-43	157	178	p	p	PROPN
cuesj-43	157	179	1	1	NUM
cuesj-43	157	180	1e	1e	NOUN
cuesj-43	157	181	=	=	SYM
cuesj-43	157	182	u	u	NOUN
cuesj-43	157	183	(	(	PUNCT
cuesj-43	157	184	x	x	NOUN
cuesj-43	157	185	)	)	PUNCT
cuesj-43	157	186	u	u	NOUN
cuesj-43	157	187	(	(	PUNCT
cuesj-43	157	188	x	x	NOUN
cuesj-43	157	189	)	)	PUNCT
cuesj-43	157	190	exact	exact	ADJ
cuesj-43	157	191	solution	solution	NOUN
cuesj-43	157	192	of	of	ADP
cuesj-43	157	193	u2(x)=−2xex	u2(x)=−2xex	PROPN
cuesj-43	157	194	approximate	approximate	NOUN
cuesj-43	157	195	valueof	valueof	ADV
cuesj-43	157	196	u2(x	u2(x	NOUN
cuesj-43	157	197	)	)	PUNCT
cuesj-43	157	198	absolute	absolute	ADJ
cuesj-43	157	199	error	error	NOUN
cuesj-43	157	200	p	p	NOUN
cuesj-43	157	201	p	p	NOUN
cuesj-43	157	202	2	2	NUM
cuesj-43	157	203	2e	2e	NOUN
cuesj-43	157	204	=	=	SYM
cuesj-43	157	205	y	y	PROPN
cuesj-43	157	206	(	(	PUNCT
cuesj-43	157	207	x	x	NOUN
cuesj-43	157	208	)	)	PUNCT
cuesj-43	157	209	y	y	PROPN
cuesj-43	157	210	(	(	PUNCT
cuesj-43	157	211	x	x	NOUN
cuesj-43	157	212	)	)	PUNCT
cuesj-43	157	213	0.2	0.2	NUM
cuesj-43	157	214	1	1	NUM
cuesj-43	157	215	3	3	NUM
cuesj-43	157	216	5	5	NUM
cuesj-43	157	217	7	7	NUM
cuesj-43	157	218	9	9	NUM
cuesj-43	157	219	11	11	NUM
cuesj-43	157	220	13	13	NUM
cuesj-43	157	221	15	15	NUM
cuesj-43	157	222	−2.44280551	−2.44280551	NOUN
cuesj-43	157	223	−2.44280551	−2.44280551	NOUN
cuesj-43	157	224	−2.44280551	−2.44280551	X
cuesj-43	157	225	−2.44280551	−2.44280551	X
cuesj-43	157	226	−2.44280551	−2.44280551	X
cuesj-43	157	227	−2.44280551	−2.44280551	X
cuesj-43	157	228	−2.44280551	−2.44280551	X
cuesj-43	157	229	−2.44280551	−2.44280551	NOUN
cuesj-43	157	230	−2.8698700	−2.8698700	NUM
cuesj-43	157	231	−2.4779392	−2.4779392	PROPN
cuesj-43	157	232	−2.4424024	−2.4424024	X
cuesj-43	157	233	−2.44280875	−2.44280875	X
cuesj-43	157	234	−2.44280551	−2.44280551	X
cuesj-43	157	235	−2.44280551	−2.44280551	X
cuesj-43	157	236	−2.44280551	−2.44280551	X
cuesj-43	157	237	−2.44280551	−2.44280551	X
cuesj-43	157	238	4.2702×10−1	4.2702×10−1	NUM
cuesj-43	157	239	3.5134×10−2	3.5134×10−2	NUM
cuesj-43	157	240	1.4041×10−4	1.4041×10−4	NUM
cuesj-43	157	241	3.2468×10−6	3.2468×10−6	NOUN
cuesj-43	157	242	5.8432×10−8	5.8432×10−8	NUM
cuesj-43	157	243	3.4562×10−9	3.4562×10−9	NUM
cuesj-43	157	244	4.6783×10−11	4.6783×10−11	NUM
cuesj-43	157	245	2.3351×10−13	2.3351×10−13	NUM
cuesj-43	157	246	−0.48856110	−0.48856110	NOUN
cuesj-43	158	1	−0.48856110	−0.48856110	NOUN
cuesj-43	158	2	−0.48856110	−0.48856110	NOUN
cuesj-43	158	3	−0.48856110	−0.48856110	NOUN
cuesj-43	158	4	−0.48856110	−0.48856110	NOUN
cuesj-43	158	5	−0.48856110	−0.48856110	NOUN
cuesj-43	158	6	−0.48856110	−0.48856110	NOUN
cuesj-43	158	7	−0.48856110	−0.48856110	NOUN
cuesj-43	158	8	−0.79987234	−0.79987234	PRON
cuesj-43	158	9	−0.4964455	−0.4964455	PUNCT
cuesj-43	158	10	−0.48553062	−0.48553062	X
cuesj-43	158	11	−0.48858445	−0.48858445	NOUN
cuesj-43	158	12	−0.48856110	−0.48856110	NOUN
cuesj-43	158	13	−0.48856110	−0.48856110	NOUN
cuesj-43	158	14	−0.48856110	−0.48856110	NOUN
cuesj-43	158	15	−0.48856110	−0.48856110	NOUN
cuesj-43	158	16	3.1131×10−1	3.1131×10−1	NUM
cuesj-43	158	17	1.2214×10−2	1.2214×10−2	NUM
cuesj-43	158	18	3.0304×10−3	3.0304×10−3	NUM
cuesj-43	158	19	2.3342×10−5	2.3342×10−5	NUM
cuesj-43	158	20	6.3489×10−7	6.3489×10−7	NOUN
cuesj-43	158	21	5.7741×10−9	5.7741×10−9	NUM
cuesj-43	158	22	4.5560×10−10	4.5560×10−10	NUM
cuesj-43	158	23	3.2981×10−12	3.2981×10−12	NUM
cuesj-43	158	24	hasan	hasan	PROPN
cuesj-43	158	25	:	:	PUNCT
cuesj-43	158	26	cooperating	cooperate	VERB
cuesj-43	158	27	newton	newton	PROPN
cuesj-43	158	28	’s	’s	PART
cuesj-43	158	29	method	method	NOUN
cuesj-43	158	30	with	with	ADP
cuesj-43	158	31	series	series	NOUN
cuesj-43	158	32	solution	solution	NOUN
cuesj-43	158	33	method	method	NOUN
cuesj-43	158	34	31	31	NUM
cuesj-43	158	35	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	158	36	cuesj	cuesj	NOUN
cuesj-43	158	37	2019	2019	NUM
cuesj-43	158	38	,	,	PUNCT
cuesj-43	158	39	3	3	NUM
cuesj-43	158	40	(	(	PUNCT
cuesj-43	158	41	1	1	NUM
cuesj-43	158	42	):	):	PUNCT
cuesj-43	158	43	27	27	NUM
cuesj-43	158	44	-	-	SYM
cuesj-43	158	45	33	33	NUM
cuesj-43	158	46	solution	solution	NOUN
cuesj-43	158	47	:	:	PUNCT
cuesj-43	158	48	let	let	VERB
cuesj-43	158	49	u	u	PRON
cuesj-43	158	50	x	x	VERB
cuesj-43	158	51	u	u	NOUN
cuesj-43	158	52	xm	xm	PROPN
cuesj-43	158	53	m	m	VERB
cuesj-43	158	54	m	m	VERB
cuesj-43	158	55	q	q	ADJ
cuesj-43	158	56	1	1	NUM
cuesj-43	158	57	1	1	NUM
cuesj-43	158	58	1	1	NUM
cuesj-43	158	59	0	0	NUM
cuesj-43	158	60	(	(	PUNCT
cuesj-43	158	61	)	)	PUNCT
cuesj-43	158	62	(	(	PUNCT
cuesj-43	158	63	)	)	PUNCT
cuesj-43	158	64	=	=	SYM
cuesj-43	158	65	=	=	NOUN
cuesj-43	158	66	∑	∑	PROPN
cuesj-43	158	67	then	then	ADV
cuesj-43	158	68	using	use	VERB
cuesj-43	158	69	ssm	ssm	PROPN
cuesj-43	158	70	,	,	PUNCT
cuesj-43	158	71	obtaining	obtain	VERB
cuesj-43	158	72	the	the	DET
cuesj-43	158	73	values	value	NOUN
cuesj-43	158	74	of	of	ADP
cuesj-43	158	75	coefficients	coefficient	NOUN
cuesj-43	158	76	a10=0	a10=0	PROPN
cuesj-43	158	77	,	,	PUNCT
cuesj-43	158	78	a11=−2	a11=−2	PROPN
cuesj-43	158	79	,	,	PUNCT
cuesj-43	158	80	a12=0	a12=0	PROPN
cuesj-43	158	81	,	,	PUNCT
cuesj-43	158	82	a13=0.3333	a13=0.3333	ADP
cuesj-43	158	83	,	,	PUNCT
cuesj-43	158	84	a14=0	a14=0	PROPN
cuesj-43	158	85	,	,	PUNCT
cuesj-43	158	86	a15=−0.01666	a15=−0.01666	ADJ
cuesj-43	158	87	,	,	PUNCT
cuesj-43	158	88	and	and	CCONJ
cuesj-43	158	89	a16=0	a16=0	PROPN
cuesj-43	158	90	,	,	PUNCT
cuesj-43	158	91	for	for	ADP
cuesj-43	158	92	u	u	NOUN
cuesj-43	158	93	x	x	X
cuesj-43	158	94	u	u	NOUN
cuesj-43	158	95	xm	xm	PROPN
cuesj-43	158	96	m	m	VERB
cuesj-43	158	97	m	m	VERB
cuesj-43	158	98	q	q	ADJ
cuesj-43	158	99	2	2	NUM
cuesj-43	158	100	2	2	NUM
cuesj-43	158	101	2	2	NUM
cuesj-43	158	102	0	0	NUM
cuesj-43	158	103	(	(	PUNCT
cuesj-43	158	104	)	)	PUNCT
cuesj-43	158	105	(	(	PUNCT
cuesj-43	158	106	)	)	PUNCT
cuesj-43	158	107	=	=	SYM
cuesj-43	158	108	=	=	NOUN
cuesj-43	158	109	∑	∑	PROPN
cuesj-43	158	110	then	then	ADV
cuesj-43	158	111	using	use	VERB
cuesj-43	158	112	ssm	ssm	PROPN
cuesj-43	158	113	,	,	PUNCT
cuesj-43	158	114	obtaining	obtain	VERB
cuesj-43	158	115	the	the	DET
cuesj-43	158	116	values	value	NOUN
cuesj-43	158	117	of	of	ADP
cuesj-43	158	118	coefficients	coefficient	NOUN
cuesj-43	158	119	a20=−2	a20=−2	ADP
cuesj-43	158	120	,	,	PUNCT
cuesj-43	158	121	a21=0	a21=0	PROPN
cuesj-43	158	122	,	,	PUNCT
cuesj-43	158	123	a22=1	a22=1	PROPN
cuesj-43	158	124	,	,	PUNCT
cuesj-43	158	125	a23=0	a23=0	PROPN
cuesj-43	158	126	,	,	PUNCT
cuesj-43	158	127	a24=−0.08333	a24=−0.08333	PROPN
cuesj-43	158	128	,	,	PUNCT
cuesj-43	158	129	a25=0	a25=0	PROPN
cuesj-43	158	130	,	,	PUNCT
cuesj-43	158	131	and	and	CCONJ
cuesj-43	158	132	a26=0.002777	a26=0.002777	PROPN
cuesj-43	158	133	.	.	PUNCT
cuesj-43	159	1	newton	newton	PROPN
cuesj-43	159	2	’s	’s	PART
cuesj-43	159	3	method	method	PROPN
cuesj-43	159	4	cooperate	cooperate	VERB
cuesj-43	159	5	with	with	ADP
cuesj-43	159	6	ssm	ssm	NOUN
cuesj-43	159	7	for	for	ADP
cuesj-43	159	8	solving	solve	VERB
cuesj-43	159	9	slmvfie-2	slmvfie-2	NUM
cuesj-43	159	10	since	since	SCONJ
cuesj-43	159	11	the	the	DET
cuesj-43	159	12	numerical	numerical	ADJ
cuesj-43	159	13	solution	solution	NOUN
cuesj-43	159	14	u	u	NOUN
cuesj-43	159	15	x	x	PROPN
cuesj-43	159	16	u	u	NOUN
cuesj-43	159	17	xi	xi	X
cuesj-43	160	1	i	i	PRON
cuesj-43	160	2	m	m	VERB
cuesj-43	160	3	i	i	PRON
cuesj-43	160	4	m	m	VERB
cuesj-43	160	5	m	m	VERB
cuesj-43	160	6	q	q	ADJ
cuesj-43	160	7	(	(	PUNCT
cuesj-43	160	8	)	)	PUNCT
cuesj-43	160	9	(	(	PUNCT
cuesj-43	160	10	)	)	PUNCT
cuesj-43	160	11	=	=	SYM
cuesj-43	161	1	=	=	NOUN
cuesj-43	161	2	∑	∑	NOUN
cuesj-43	161	3	0	0	PUNCT
cuesj-43	161	4	is	be	AUX
cuesj-43	161	5	analytic	analytic	ADJ
cuesj-43	161	6	function	function	NOUN
cuesj-43	161	7	,	,	PUNCT
cuesj-43	161	8	then	then	ADV
cuesj-43	161	9	using	use	VERB
cuesj-43	161	10	taylor	taylor	PROPN
cuesj-43	161	11	series	series	PROPN
cuesj-43	161	12	expansion	expansion	NOUN
cuesj-43	161	13	at	at	ADP
cuesj-43	161	14	a	a	DET
cuesj-43	161	15	point	point	NOUN
cuesj-43	161	16	x0	x0	PROPN
cuesj-43	161	17	it	it	PRON
cuesj-43	161	18	can	can	AUX
cuesj-43	161	19	be	be	AUX
cuesj-43	161	20	written	write	VERB
cuesj-43	161	21	of	of	ADP
cuesj-43	161	22	the	the	DET
cuesj-43	161	23	form	form	NOUN
cuesj-43	161	24	u	u	NOUN
cuesj-43	161	25	x	x	X
cuesj-43	161	26	u	u	NOUN
cuesj-43	162	1	b	b	PROPN
cuesj-43	162	2	k	k	NOUN
cuesj-43	162	3	x	x	X
cuesj-43	162	4	b	b	X
cuesj-43	162	5	u	u	X
cuesj-43	162	6	b	b	PROPN
cuesj-43	162	7	u	u	X
cuesj-43	162	8	b	b	PROPN
cuesj-43	162	9	x	x	SYM
cuesj-43	162	10	b	b	PUNCT
cuesj-43	162	11	u	u	X
cuesj-43	162	12	b	b	PROPN
cuesj-43	162	13	x	x	SYM
cuesj-43	162	14	b	b	NOUN
cuesj-43	163	1	i	i	PRON
cuesj-43	164	1	i	i	PRON
cuesj-43	164	2	k	k	PROPN
cuesj-43	165	1	k	k	PROPN
cuesj-43	165	2	k	k	PROPN
cuesj-43	166	1	i	i	PRON
cuesj-43	167	1	i	i	PRON
cuesj-43	168	1	i	i	INTJ
cuesj-43	168	2	(	(	PUNCT
cuesj-43	168	3	)	)	PUNCT
cuesj-43	168	4	(	(	PUNCT
cuesj-43	168	5	)	)	PUNCT
cuesj-43	168	6	!	!	PUNCT
cuesj-43	169	1	(	(	PUNCT
cuesj-43	169	2	)	)	PUNCT
cuesj-43	169	3	(	(	PUNCT
cuesj-43	169	4	)	)	PUNCT
cuesj-43	169	5	(	(	PUNCT
cuesj-43	169	6	)	)	PUNCT
cuesj-43	169	7	(	(	PUNCT
cuesj-43	169	8	)	)	PUNCT
cuesj-43	169	9	(	(	PUNCT
cuesj-43	169	10	)	)	PUNCT
cuesj-43	169	11	!	!	PUNCT
cuesj-43	170	1	(	(	PUNCT
cuesj-43	170	2	=	=	PUNCT
cuesj-43	170	3	−	−	PUNCT
cuesj-43	170	4	=	=	SYM
cuesj-43	171	1	+	+	NUM
cuesj-43	171	2	−	−	PROPN
cuesj-43	172	1	+	+	CCONJ
cuesj-43	172	2	−	−	PROPN
cuesj-43	172	3	=	=	SYM
cuesj-43	172	4	∞	∞	NUM
cuesj-43	172	5	∑	∑	PROPN
cuesj-43	172	6	0	0	NUM
cuesj-43	172	7	0	0	NUM
cuesj-43	172	8	1	1	NUM
cuesj-43	172	9	1	1	NUM
cuesj-43	172	10	2	2	NUM
cuesj-43	172	11	2	2	NUM
cuesj-43	172	12	)	)	PUNCT
cuesj-43	172	13	)	)	PUNCT
cuesj-43	172	14	(	(	PUNCT
cuesj-43	172	15	)	)	PUNCT
cuesj-43	172	16	!	!	PUNCT
cuesj-43	173	1	(	(	PUNCT
cuesj-43	173	2	)	)	PUNCT
cuesj-43	173	3	...	...	PUNCT
cuesj-43	173	4	2	2	NUM
cuesj-43	173	5	3	3	NUM
cuesj-43	173	6	3	3	NUM
cuesj-43	173	7	3	3	NUM
cuesj-43	173	8	+	+	CCONJ
cuesj-43	173	9	−	−	PROPN
cuesj-43	174	1	+	+	CCONJ
cuesj-43	174	2	u	u	PROPN
cuesj-43	174	3	b	b	PROPN
cuesj-43	174	4	x	x	SYM
cuesj-43	174	5	bi	bi	NOUN
cuesj-43	174	6	which	which	PRON
cuesj-43	174	7	is	be	AUX
cuesj-43	174	8	similar	similar	ADJ
cuesj-43	174	9	to	to	ADP
cuesj-43	174	10	u	u	PROPN
cuesj-43	174	11	x	x	X
cuesj-43	174	12	u	u	NOUN
cuesj-43	174	13	b	b	PROPN
cuesj-43	174	14	k	k	NOUN
cuesj-43	175	1	x	x	X
cuesj-43	175	2	b	b	X
cuesj-43	175	3	u	u	X
cuesj-43	175	4	b	b	PROPN
cuesj-43	175	5	u	u	X
cuesj-43	175	6	b	b	PROPN
cuesj-43	175	7	x	x	SYM
cuesj-43	175	8	b	b	PUNCT
cuesj-43	175	9	u	u	X
cuesj-43	175	10	b	b	PROPN
cuesj-43	175	11	x	x	SYM
cuesj-43	175	12	b	b	NOUN
cuesj-43	176	1	i	i	PRON
cuesj-43	177	1	i	i	PRON
cuesj-43	177	2	k	k	PROPN
cuesj-43	178	1	k	k	PROPN
cuesj-43	178	2	k	k	PROPN
cuesj-43	179	1	i	i	PRON
cuesj-43	180	1	i	i	PRON
cuesj-43	181	1	i	i	INTJ
cuesj-43	181	2	(	(	PUNCT
cuesj-43	181	3	)	)	PUNCT
cuesj-43	181	4	(	(	PUNCT
cuesj-43	181	5	)	)	PUNCT
cuesj-43	181	6	!	!	PUNCT
cuesj-43	182	1	(	(	PUNCT
cuesj-43	182	2	)	)	PUNCT
cuesj-43	182	3	(	(	PUNCT
cuesj-43	182	4	)	)	PUNCT
cuesj-43	182	5	(	(	PUNCT
cuesj-43	182	6	)	)	PUNCT
cuesj-43	182	7	(	(	PUNCT
cuesj-43	182	8	)	)	PUNCT
cuesj-43	182	9	(	(	PUNCT
cuesj-43	182	10	)	)	PUNCT
cuesj-43	182	11	!	!	PUNCT
cuesj-43	183	1	(	(	PUNCT
cuesj-43	183	2	=	=	PUNCT
cuesj-43	183	3	−	−	PUNCT
cuesj-43	183	4	=	=	SYM
cuesj-43	184	1	+	+	NUM
cuesj-43	184	2	′	′	NUM
cuesj-43	184	3	−	−	NOUN
cuesj-43	185	1	+	+	CCONJ
cuesj-43	185	2	′′	′′	PROPN
cuesj-43	185	3	−	−	PROPN
cuesj-43	185	4	=	=	SYM
cuesj-43	185	5	∞	∞	NUM
cuesj-43	185	6	∑	∑	PROPN
cuesj-43	185	7	0	0	NUM
cuesj-43	185	8	1	1	NUM
cuesj-43	185	9	2	2	NUM
cuesj-43	185	10	)	)	PUNCT
cuesj-43	185	11	)	)	PUNCT
cuesj-43	185	12	(	(	PUNCT
cuesj-43	185	13	)	)	PUNCT
cuesj-43	185	14	!	!	PUNCT
cuesj-43	186	1	(	(	PUNCT
cuesj-43	186	2	)	)	PUNCT
cuesj-43	186	3	...	...	PUNCT
cuesj-43	186	4	2	2	NUM
cuesj-43	186	5	3	3	NUM
cuesj-43	186	6	3	3	NUM
cuesj-43	186	7	+	+	CCONJ
cuesj-43	186	8	′′′	′′′	ADP
cuesj-43	186	9	−	−	PROPN
cuesj-43	187	1	+	+	CCONJ
cuesj-43	187	2	u	u	PROPN
cuesj-43	187	3	b	b	PROPN
cuesj-43	187	4	x	x	PROPN
cuesj-43	187	5	bi	bi	ADJ
cuesj-43	187	6	table	table	NOUN
cuesj-43	187	7	4	4	NUM
cuesj-43	187	8	:	:	PUNCT
cuesj-43	187	9	comparison	comparison	NOUN
cuesj-43	187	10	between	between	ADP
cuesj-43	187	11	the	the	DET
cuesj-43	187	12	exact	exact	ADJ
cuesj-43	187	13	and	and	CCONJ
cuesj-43	187	14	numerical	numerical	ADJ
cuesj-43	187	15	results	result	NOUN
cuesj-43	187	16	x	x	X
cuesj-43	187	17	q	q	NOUN
cuesj-43	187	18	exact	exact	ADJ
cuesj-43	187	19	solution	solution	NOUN
cuesj-43	187	20	of	of	ADP
cuesj-43	187	21	u1(x)=−2sin	u1(x)=−2sin	PROPN
cuesj-43	187	22	 	 	SPACE
cuesj-43	187	23	(	(	PUNCT
cuesj-43	187	24	x	x	NOUN
cuesj-43	187	25	)	)	PUNCT
cuesj-43	187	26	approximate	approximate	ADJ
cuesj-43	187	27	value	value	NOUN
cuesj-43	187	28	of	of	ADP
cuesj-43	187	29	u1(x	u1(x	NOUN
cuesj-43	187	30	)	)	PUNCT
cuesj-43	187	31	absolute	absolute	ADJ
cuesj-43	187	32	error	error	NOUN
cuesj-43	187	33	p	p	X
cuesj-43	187	34	p	p	PROPN
cuesj-43	187	35	1	1	NUM
cuesj-43	187	36	1e	1e	NOUN
cuesj-43	187	37	=	=	SYM
cuesj-43	187	38	u	u	NOUN
cuesj-43	187	39	(	(	PUNCT
cuesj-43	187	40	x	x	NOUN
cuesj-43	187	41	)	)	PUNCT
cuesj-43	187	42	u	u	NOUN
cuesj-43	187	43	(	(	PUNCT
cuesj-43	187	44	x	x	NOUN
cuesj-43	187	45	)	)	PUNCT
cuesj-43	187	46	exact	exact	ADJ
cuesj-43	187	47	solution	solution	NOUN
cuesj-43	187	48	of	of	ADP
cuesj-43	187	49	u2(x)=−2cos	u2(x)=−2co	NOUN
cuesj-43	187	50	 	 	SPACE
cuesj-43	187	51	(	(	PUNCT
cuesj-43	187	52	x	x	NOUN
cuesj-43	187	53	)	)	PUNCT
cuesj-43	187	54	approximate	approximate	ADJ
cuesj-43	187	55	value	value	NOUN
cuesj-43	187	56	of	of	ADP
cuesj-43	187	57	u2(x	u2(x	NOUN
cuesj-43	187	58	)	)	PUNCT
cuesj-43	187	59	absolute	absolute	ADJ
cuesj-43	187	60	error	error	NOUN
cuesj-43	187	61	p	p	NOUN
cuesj-43	187	62	p	p	NOUN
cuesj-43	187	63	2	2	NUM
cuesj-43	187	64	2e	2e	NOUN
cuesj-43	187	65	=	=	SYM
cuesj-43	187	66	y	y	PROPN
cuesj-43	187	67	(	(	PUNCT
cuesj-43	187	68	x	x	NOUN
cuesj-43	187	69	)	)	PUNCT
cuesj-43	187	70	y	y	PROPN
cuesj-43	187	71	(	(	PUNCT
cuesj-43	187	72	x	x	NOUN
cuesj-43	187	73	)	)	PUNCT
cuesj-43	187	74	8	8	NUM
cuesj-43	187	75	π	π	NOUN
cuesj-43	187	76	1	1	NUM
cuesj-43	187	77	3	3	NUM
cuesj-43	187	78	5	5	NUM
cuesj-43	187	79	7	7	NUM
cuesj-43	187	80	9	9	NUM
cuesj-43	187	81	11	11	NUM
cuesj-43	187	82	13	13	NUM
cuesj-43	187	83	15	15	NUM
cuesj-43	187	84	−0.76366864	−0.76366864	NUM
cuesj-43	188	1	−0.76366864	−0.76366864	PROPN
cuesj-43	188	2	−0.76366864	−0.76366864	PROPN
cuesj-43	189	1	−0.76366864	−0.76366864	PROPN
cuesj-43	189	2	−0.76366864	−0.76366864	PROPN
cuesj-43	190	1	−0.76366864	−0.76366864	X
cuesj-43	190	2	−0.76366864	−0.76366864	PROPN
cuesj-43	190	3	−0.76366864	−0.76366864	PROPN
cuesj-43	190	4	−0.65484390	−0.65484390	PUNCT
cuesj-43	190	5	−0.78998921	−0.78998921	X
cuesj-43	190	6	−0.76887972	−0.76887972	X
cuesj-43	190	7	−0.76539865	−0.76539865	X
cuesj-43	190	8	−0.76536922	−0.76536922	X
cuesj-43	190	9	−0.76536686	−0.76536686	X
cuesj-43	190	10	−0.76536686	−0.76536686	X
cuesj-43	190	11	−0.76536686	−0.76536686	X
cuesj-43	190	12	1.1122×10−1	1.1122×10−1	NUM
cuesj-43	190	13	2.6323×10−2	2.6323×10−2	NUM
cuesj-43	190	14	5.2214×10−3	5.2214×10−3	NUM
cuesj-43	190	15	3.2213×10−5	3.2213×10−5	NUM
cuesj-43	190	16	1.1426×10−6	1.1426×10−6	NUM
cuesj-43	190	17	5.7892×10−8	5.7892×10−8	NUM
cuesj-43	190	18	3.4753×10−9	3.4753×10−9	NOUN
cuesj-43	190	19	5.2253×10−11	5.2253×10−11	NUM
cuesj-43	190	20	−1.84775906	−1.84775906	X
cuesj-43	190	21	−1.84775906	−1.84775906	X
cuesj-43	190	22	−1.84775906	−1.84775906	X
cuesj-43	190	23	−1.84775906	−1.84775906	X
cuesj-43	190	24	−1.84775906	−1.84775906	X
cuesj-43	190	25	−1.84775906	−1.84775906	X
cuesj-43	190	26	−1.84775906	−1.84775906	X
cuesj-43	190	27	−1.84775906	−1.84775906	X
cuesj-43	190	28	−1.52331434	−1.52331434	NUM
cuesj-43	190	29	−1.84992540	−1.84992540	X
cuesj-43	190	30	−1.84790077	−1.84790077	PROPN
cuesj-43	190	31	−1.84779887	−1.84779887	NUM
cuesj-43	190	32	−1.84775968	−1.84775968	X
cuesj-43	190	33	−1.84775906	−1.84775906	X
cuesj-43	190	34	−1.84775906	−1.84775906	X
cuesj-43	190	35	−1.84775906	−1.84775906	X
cuesj-43	190	36	3.2444×10−1	3.2444×10−1	NUM
cuesj-43	190	37	4.2234×10−2	4.2234×10−2	NUM
cuesj-43	190	38	2.5971×10−4	2.5971×10−4	NUM
cuesj-43	190	39	4.1812×10−5	4.1812×10−5	NUM
cuesj-43	190	40	6.2342×10−7	6.2342×10−7	NOUN
cuesj-43	190	41	4.6638×10−8	4.6638×10−8	NOUN
cuesj-43	190	42	5.6754×10−10	5.6754×10−10	NUM
cuesj-43	190	43	3.8932×10−11	3.8932×10−11	NUM
cuesj-43	190	44	table	table	NOUN
cuesj-43	190	45	5	5	NUM
cuesj-43	190	46	:	:	PUNCT
cuesj-43	190	47	comparison	comparison	NOUN
cuesj-43	190	48	between	between	ADP
cuesj-43	190	49	the	the	DET
cuesj-43	190	50	results	result	NOUN
cuesj-43	190	51	which	which	PRON
cuesj-43	190	52	depending	depend	VERB
cuesj-43	190	53	on	on	ADP
cuesj-43	190	54	lse	lse	PROPN
cuesj-43	190	55	and	and	CCONJ
cuesj-43	190	56	rt	rt	PROPN
cuesj-43	190	57	at	at	ADP
cuesj-43	190	58	appoint	appoint	NOUN
cuesj-43	190	59	number	number	NOUN
cuesj-43	190	60	of	of	ADP
cuesj-43	190	61	terms	term	NOUN
cuesj-43	190	62	criterion	criterion	NOUN
cuesj-43	190	63	of	of	ADP
cuesj-43	190	64	ssm	ssm	PROPN
cuesj-43	190	65	for	for	ADP
cuesj-43	190	66	u1(x)=−2ex	u1(x)=−2ex	ADJ
cuesj-43	190	67	criterion	criterion	NOUN
cuesj-43	190	68	of	of	ADP
cuesj-43	190	69	ssm	ssm	NOUN
cuesj-43	190	70	for	for	ADP
cuesj-43	190	71	u2(x)=−2xex	u2(x)=−2xex	PROPN
cuesj-43	190	72	x	x	SYM
cuesj-43	190	73	q	q	PROPN
cuesj-43	190	74	lse	lse	PROPN
cuesj-43	190	75	rt	rt	PROPN
cuesj-43	190	76	lse	lse	PROPN
cuesj-43	190	77	rt	rt	PROPN
cuesj-43	190	78	0.2	0.2	NUM
cuesj-43	190	79	3	3	NUM
cuesj-43	190	80	2.5480×10−4	2.5480×10−4	NUM
cuesj-43	190	81	0:0:1.852	0:0:1.852	NUM
cuesj-43	191	1	3.2361×10−4	3.2361×10−4	NUM
cuesj-43	191	2	0:0:1.852	0:0:1.852	NUM
cuesj-43	191	3	5	5	NUM
cuesj-43	191	4	3.6531×10−8	3.6531×10−8	NUM
cuesj-43	191	5	0:0:2.224	0:0:2.224	NUM
cuesj-43	192	1	4.3452×10−8	4.3452×10−8	PROPN
cuesj-43	192	2	0:0:2.224	0:0:2.224	NUM
cuesj-43	192	3	7	7	NUM
cuesj-43	192	4	2.8874×10−10	2.8874×10−10	NUM
cuesj-43	192	5	0:0:3.036	0:0:3.036	ADP
cuesj-43	192	6	2.6674×10−10	2.6674×10−10	NUM
cuesj-43	192	7	0:0:3.036	0:0:3.036	X
cuesj-43	192	8	9	9	NUM
cuesj-43	192	9	6.4456×10−13	6.4456×10−13	NUM
cuesj-43	192	10	0:0:4.368	0:0:4.368	NOUN
cuesj-43	192	11	9.8678×10−14	9.8678×10−14	NUM
cuesj-43	192	12	0:0:4.368	0:0:4.368	NOUN
cuesj-43	192	13	lse	lse	PROPN
cuesj-43	192	14	:	:	PUNCT
cuesj-43	192	15	least	least	ADJ
cuesj-43	192	16	square	square	ADJ
cuesj-43	192	17	error	error	NOUN
cuesj-43	192	18	,	,	PUNCT
cuesj-43	192	19	rt	rt	PROPN
cuesj-43	192	20	:	:	PUNCT
cuesj-43	192	21	running	running	NOUN
cuesj-43	192	22	times	time	NOUN
cuesj-43	192	23	,	,	PUNCT
cuesj-43	192	24	ssm	ssm	PROPN
cuesj-43	192	25	:	:	PUNCT
cuesj-43	192	26	series	series	NOUN
cuesj-43	192	27	solution	solution	NOUN
cuesj-43	192	28	method	method	NOUN
cuesj-43	192	29	if	if	SCONJ
cuesj-43	192	30	we	we	PRON
cuesj-43	192	31	truncating	truncate	VERB
cuesj-43	192	32	it	it	PRON
cuesj-43	192	33	in	in	ADP
cuesj-43	192	34	the	the	DET
cuesj-43	192	35	terms	term	NOUN
cuesj-43	192	36	of	of	ADP
cuesj-43	192	37	order	order	NOUN
cuesj-43	192	38	two	two	NUM
cuesj-43	192	39	,	,	PUNCT
cuesj-43	192	40	we	we	PRON
cuesj-43	192	41	get	get	VERB
cuesj-43	192	42	u	u	NOUN
cuesj-43	192	43	x	x	X
cuesj-43	192	44	u	u	NOUN
cuesj-43	192	45	b	b	PROPN
cuesj-43	192	46	u	u	X
cuesj-43	192	47	b	b	PROPN
cuesj-43	192	48	x	x	NOUN
cuesj-43	192	49	bi	bi	NOUN
cuesj-43	193	1	i	i	PRON
cuesj-43	193	2	i	i	PROPN
cuesj-43	193	3	(	(	PUNCT
cuesj-43	193	4	)	)	PUNCT
cuesj-43	193	5	(	(	PUNCT
cuesj-43	193	6	)	)	PUNCT
cuesj-43	193	7	(	(	PUNCT
cuesj-43	193	8	)	)	PUNCT
cuesj-43	193	9	(	(	PUNCT
cuesj-43	193	10	)	)	PUNCT
cuesj-43	193	11	=	=	SYM
cuesj-43	194	1	+	+	NUM
cuesj-43	194	2	′	′	NUM
cuesj-43	194	3	−	−	NOUN
cuesj-43	194	4	and	and	CCONJ
cuesj-43	194	5	put	put	VERB
cuesj-43	194	6	h	h	NOUN
cuesj-43	194	7	=	=	NOUN
cuesj-43	194	8	x−b	x−b	NOUN
cuesj-43	194	9	such	such	ADJ
cuesj-43	194	10	that	that	DET
cuesj-43	194	11	ui(x)=0	ui(x)=0	PROPN
cuesj-43	194	12	,	,	PUNCT
cuesj-43	194	13	then	then	ADV
cuesj-43	194	14	we	we	PRON
cuesj-43	194	15	get	get	VERB
cuesj-43	194	16	h	h	NOUN
cuesj-43	194	17	u	u	NOUN
cuesj-43	194	18	b	b	PROPN
cuesj-43	194	19	u	u	X
cuesj-43	194	20	b	b	PROPN
cuesj-43	195	1	i	i	PRON
cuesj-43	195	2	i	i	PRON
cuesj-43	195	3	=	=	PUNCT
cuesj-43	196	1	−	−	PROPN
cuesj-43	196	2	′	′	NUM
cuesj-43	196	3	(	(	PUNCT
cuesj-43	196	4	)	)	PUNCT
cuesj-43	196	5	(	(	PUNCT
cuesj-43	196	6	)	)	PUNCT
cuesj-43	196	7	then	then	ADV
cuesj-43	196	8	,	,	PUNCT
cuesj-43	196	9	we	we	PRON
cuesj-43	196	10	obtain	obtain	VERB
cuesj-43	196	11	this	this	DET
cuesj-43	196	12	iteration	iteration	NOUN
cuesj-43	196	13	formula	formula	NOUN
cuesj-43	196	14	:	:	PUNCT
cuesj-43	196	15	u	u	NOUN
cuesj-43	196	16	x	x	X
cuesj-43	196	17	u	u	NOUN
cuesj-43	196	18	x	x	X
cuesj-43	196	19	u	u	NOUN
cuesj-43	196	20	x	x	PROPN
cuesj-43	196	21	u	u	NOUN
cuesj-43	196	22	xi	xi	ADP
cuesj-43	196	23	m	m	PROPN
cuesj-43	197	1	i	i	PRON
cuesj-43	198	1	i	i	PRON
cuesj-43	198	2	m	m	VERB
cuesj-43	198	3	i	i	PRON
cuesj-43	198	4	m	m	VERB
cuesj-43	198	5	+	+	NOUN
cuesj-43	198	6	=	=	SYM
cuesj-43	199	1	−	−	PROPN
cuesj-43	199	2	′	′	NUM
cuesj-43	199	3	1	1	NUM
cuesj-43	199	4	(	(	PUNCT
cuesj-43	199	5	)	)	PUNCT
cuesj-43	199	6	(	(	PUNCT
cuesj-43	199	7	)	)	PUNCT
cuesj-43	199	8	(	(	PUNCT
cuesj-43	199	9	)	)	PUNCT
cuesj-43	199	10	(	(	PUNCT
cuesj-43	199	11	(	(	PUNCT
cuesj-43	199	12	)	)	PUNCT
cuesj-43	199	13	)	)	PUNCT
cuesj-43	199	14	(	(	PUNCT
cuesj-43	199	15	4	4	X
cuesj-43	199	16	)	)	PUNCT
cuesj-43	199	17	for	for	ADP
cuesj-43	199	18	m=0	m=0	PROPN
cuesj-43	199	19	,	,	PUNCT
cuesj-43	199	20	1	1	NUM
cuesj-43	199	21	,	,	PUNCT
cuesj-43	199	22	2	2	NUM
cuesj-43	199	23	,	,	PUNCT
cuesj-43	199	24	3	3	NUM
cuesj-43	199	25	,	,	PUNCT
cuesj-43	199	26	…	…	PUNCT
cuesj-43	199	27	where	where	SCONJ
cuesj-43	199	28	m	m	NOUN
cuesj-43	199	29	is	be	AUX
cuesj-43	199	30	the	the	DET
cuesj-43	199	31	number	number	NOUN
cuesj-43	199	32	of	of	ADP
cuesj-43	199	33	iteration	iteration	NOUN
cuesj-43	199	34	.	.	PUNCT
cuesj-43	200	1	cooperating	cooperate	VERB
cuesj-43	200	2	newton	newton	PROPN
cuesj-43	200	3	’s	’s	PART
cuesj-43	200	4	method	method	NOUN
cuesj-43	200	5	with	with	ADP
cuesj-43	200	6	ssm	ssm	PROPN
cuesj-43	200	7	for	for	ADP
cuesj-43	200	8	solving	solve	VERB
cuesj-43	200	9	slmvfie-2	slmvfie-2	PRON
cuesj-43	200	10	the	the	DET
cuesj-43	200	11	main	main	ADJ
cuesj-43	200	12	aim	aim	NOUN
cuesj-43	200	13	of	of	ADP
cuesj-43	200	14	this	this	DET
cuesj-43	200	15	section	section	NOUN
cuesj-43	200	16	is	be	AUX
cuesj-43	200	17	reformulating	reformulate	VERB
cuesj-43	200	18	and	and	CCONJ
cuesj-43	200	19	cooperating	cooperate	VERB
cuesj-43	200	20	nm	nm	NOUN
cuesj-43	200	21	with	with	ADP
cuesj-43	200	22	ssm	ssm	PROPN
cuesj-43	200	23	for	for	ADP
cuesj-43	200	24	getting	get	VERB
cuesj-43	200	25	the	the	DET
cuesj-43	200	26	approximate	approximate	ADJ
cuesj-43	200	27	solutions	solution	NOUN
cuesj-43	200	28	of	of	ADP
cuesj-43	200	29	the	the	DET
cuesj-43	200	30	problem	problem	NOUN
cuesj-43	200	31	.	.	PUNCT
cuesj-43	201	1	these	these	DET
cuesj-43	201	2	proses	prose	NOUN
cuesj-43	201	3	are	be	AUX
cuesj-43	201	4	accelerating	accelerate	VERB
cuesj-43	201	5	the	the	DET
cuesj-43	201	6	convergence	convergence	NOUN
cuesj-43	201	7	to	to	PART
cuesj-43	201	8	exact	exact	ADJ
cuesj-43	201	9	solution	solution	NOUN
cuesj-43	201	10	for	for	ADP
cuesj-43	201	11	the	the	DET
cuesj-43	201	12	problem	problem	NOUN
cuesj-43	201	13	.	.	PUNCT
cuesj-43	202	1	first	first	ADV
cuesj-43	202	2	solving	solve	VERB
cuesj-43	202	3	slmvfie-2	slmvfie-2	PROPN
cuesj-43	202	4	using	use	VERB
cuesj-43	202	5	ssm	ssm	PROPN
cuesj-43	202	6	.	.	PUNCT
cuesj-43	203	1	then	then	ADV
cuesj-43	203	2	,	,	PUNCT
cuesj-43	203	3	cooperating	cooperate	VERB
cuesj-43	203	4	nm	nm	NOUN
cuesj-43	203	5	with	with	ADP
cuesj-43	203	6	ssm	ssm	PROPN
cuesj-43	203	7	to	to	PART
cuesj-43	203	8	obtain	obtain	VERB
cuesj-43	203	9	the	the	DET
cuesj-43	203	10	new	new	ADJ
cuesj-43	203	11	sequence	sequence	NOUN
cuesj-43	203	12	u	u	NOUN
cuesj-43	203	13	xi	xi	ADP
cuesj-43	203	14	m	m	PROPN
cuesj-43	203	15	m	m	VERB
cuesj-43	203	16	(	(	PUNCT
cuesj-43	203	17	)	)	PUNCT
cuesj-43	203	18	{	{	PUNCT
cuesj-43	203	19	}	}	PUNCT
cuesj-43	203	20	=	=	SYM
cuesj-43	203	21	∞	∞	NUM
cuesj-43	203	22	1	1	NUM
cuesj-43	203	23	of	of	ADP
cuesj-43	203	24	approximate	approximate	ADJ
cuesj-43	203	25	solutions	solution	NOUN
cuesj-43	203	26	for	for	ADP
cuesj-43	203	27	the	the	DET
cuesj-43	203	28	problem	problem	NOUN
cuesj-43	203	29	using	use	VERB
cuesj-43	203	30	the	the	DET
cuesj-43	203	31	relationship	relationship	NOUN
cuesj-43	203	32	in	in	ADP
cuesj-43	203	33	equation	equation	NOUN
cuesj-43	203	34	(	(	PUNCT
cuesj-43	203	35	4	4	NUM
cuesj-43	203	36	)	)	PUNCT
cuesj-43	203	37	.	.	PUNCT
cuesj-43	204	1	u	u	NOUN
cuesj-43	205	1	x	x	X
cuesj-43	205	2	u	u	NOUN
cuesj-43	205	3	x	x	X
cuesj-43	205	4	u	u	NOUN
cuesj-43	205	5	x	x	PROPN
cuesj-43	205	6	u	u	NOUN
cuesj-43	205	7	x	x	PROPN
cuesj-43	205	8	mi	mi	PROPN
cuesj-43	205	9	m	m	VERB
cuesj-43	205	10	i	i	INTJ
cuesj-43	205	11	i	i	PRON
cuesj-43	205	12	m	m	VERB
cuesj-43	205	13	i	i	PRON
cuesj-43	205	14	m	m	VERB
cuesj-43	205	15	+	+	NOUN
cuesj-43	205	16	=	=	SYM
cuesj-43	205	17	−	−	PROPN
cuesj-43	205	18	′	′	NUM
cuesj-43	206	1	=	=	NOUN
cuesj-43	206	2	1	1	NUM
cuesj-43	206	3	0	0	NUM
cuesj-43	206	4	1	1	NUM
cuesj-43	206	5	2	2	NUM
cuesj-43	206	6	3	3	NUM
cuesj-43	206	7	(	(	PUNCT
cuesj-43	206	8	)	)	PUNCT
cuesj-43	206	9	(	(	PUNCT
cuesj-43	206	10	)	)	PUNCT
cuesj-43	206	11	(	(	PUNCT
cuesj-43	206	12	)	)	PUNCT
cuesj-43	206	13	(	(	PUNCT
cuesj-43	206	14	(	(	PUNCT
cuesj-43	206	15	)	)	PUNCT
cuesj-43	206	16	)	)	PUNCT
cuesj-43	206	17	,	,	PUNCT
cuesj-43	206	18	,	,	PUNCT
cuesj-43	206	19	,	,	PUNCT
cuesj-43	206	20	,	,	PUNCT
cuesj-43	206	21	...	...	PUNCT
cuesj-43	206	22	for	for	ADP
cuesj-43	206	23	nm	nm	NOUN
cuesj-43	206	24	on	on	ADP
cuesj-43	206	25	ssm	ssm	PROPN
cuesj-43	206	26	algorithm	algorithm	NOUN
cuesj-43	206	27	input	input	NOUN
cuesj-43	206	28	:	:	PUNCT
cuesj-43	206	29	a	a	PRON
cuesj-43	206	30	,	,	PUNCT
cuesj-43	206	31	b	b	NOUN
cuesj-43	206	32	,	,	PUNCT
cuesj-43	206	33	x	x	PROPN
cuesj-43	206	34	,	,	PUNCT
cuesj-43	206	35	m	m	PROPN
cuesj-43	206	36	,	,	PUNCT
cuesj-43	206	37	e	e	NOUN
cuesj-43	206	38	for	for	ADP
cuesj-43	206	39	i=1	i=1	PRON
cuesj-43	206	40	to	to	ADP
cuesj-43	206	41	q	q	NOUN
cuesj-43	206	42	for	for	ADP
cuesj-43	206	43	m=0	m=0	PROPN
cuesj-43	206	44	to	to	ADP
cuesj-43	206	45	max	max	PROPN
cuesj-43	206	46	hasan	hasan	PROPN
cuesj-43	206	47	:	:	PUNCT
cuesj-43	206	48	cooperating	cooperate	VERB
cuesj-43	206	49	newton	newton	PROPN
cuesj-43	206	50	’s	’s	PART
cuesj-43	206	51	method	method	NOUN
cuesj-43	206	52	with	with	ADP
cuesj-43	206	53	series	series	NOUN
cuesj-43	206	54	solution	solution	NOUN
cuesj-43	206	55	method	method	NOUN
cuesj-43	206	56	32	32	NUM
cuesj-43	206	57	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	206	58	cuesj	cuesj	NOUN
cuesj-43	206	59	2019	2019	NUM
cuesj-43	206	60	,	,	PUNCT
cuesj-43	206	61	3	3	NUM
cuesj-43	206	62	(	(	PUNCT
cuesj-43	206	63	1	1	NUM
cuesj-43	206	64	):	):	PUNCT
cuesj-43	206	65	27	27	NUM
cuesj-43	206	66	-	-	SYM
cuesj-43	206	67	33	33	NUM
cuesj-43	206	68	step	step	NOUN
cuesj-43	206	69	1	1	NUM
cuesj-43	206	70	:	:	PUNCT
cuesj-43	206	71	using	use	VERB
cuesj-43	206	72	ssm	ssm	PROPN
cuesj-43	206	73	to	to	PART
cuesj-43	206	74	obtain	obtain	VERB
cuesj-43	206	75	the	the	DET
cuesj-43	206	76	numerical	numerical	ADJ
cuesj-43	206	77	solutions	solution	NOUN
cuesj-43	206	78	u	u	NOUN
cuesj-43	206	79	x	x	PROPN
cuesj-43	206	80	u	u	NOUN
cuesj-43	206	81	xi	xi	X
cuesj-43	207	1	i	i	PRON
cuesj-43	207	2	m	m	VERB
cuesj-43	207	3	i	i	PRON
cuesj-43	207	4	m	m	VERB
cuesj-43	207	5	m	m	VERB
cuesj-43	207	6	q	q	ADJ
cuesj-43	207	7	(	(	PUNCT
cuesj-43	207	8	)	)	PUNCT
cuesj-43	207	9	(	(	PUNCT
cuesj-43	207	10	)	)	PUNCT
cuesj-43	207	11	=	=	SYM
cuesj-43	208	1	=	=	PUNCT
cuesj-43	208	2	∑	∑	NOUN
cuesj-43	208	3	0	0	NUM
cuesj-43	208	4	end	end	NOUN
cuesj-43	208	5	for	for	ADP
cuesj-43	208	6	end	end	NOUN
cuesj-43	208	7	for	for	ADP
cuesj-43	208	8	for	for	ADP
cuesj-43	208	9	i=1	i=1	PRON
cuesj-43	208	10	to	to	PART
cuesj-43	208	11	q	q	NOUN
cuesj-43	208	12	for	for	ADP
cuesj-43	208	13	m=0	m=0	PROPN
cuesj-43	208	14	to	to	ADP
cuesj-43	208	15	max	max	PROPN
cuesj-43	208	16	step	step	NOUN
cuesj-43	208	17	2	2	NUM
cuesj-43	208	18	:	:	PUNCT
cuesj-43	208	19	getting	get	VERB
cuesj-43	208	20	the	the	DET
cuesj-43	208	21	new	new	ADJ
cuesj-43	208	22	sequence	sequence	NOUN
cuesj-43	208	23	using	use	VERB
cuesj-43	208	24	the	the	DET
cuesj-43	208	25	relationship	relationship	NOUN
cuesj-43	208	26	in	in	ADP
cuesj-43	208	27	equation	equation	NOUN
cuesj-43	208	28	(	(	PUNCT
cuesj-43	208	29	4	4	NUM
cuesj-43	208	30	)	)	PUNCT
cuesj-43	208	31	.	.	PUNCT
cuesj-43	209	1	step	step	NOUN
cuesj-43	209	2	3	3	NUM
cuesj-43	209	3	:	:	PUNCT
cuesj-43	209	4	compute	compute	VERB
cuesj-43	209	5	the	the	DET
cuesj-43	209	6	absolute	absolute	ADJ
cuesj-43	209	7	error	error	NOUN
cuesj-43	209	8	e	e	X
cuesj-43	209	9	u	u	NOUN
cuesj-43	209	10	x	x	PROPN
cuesj-43	209	11	u	u	NOUN
cuesj-43	209	12	xi	xi	ADP
cuesj-43	209	13	m	m	PROPN
cuesj-43	210	1	i	i	PRON
cuesj-43	210	2	m	m	VERB
cuesj-43	211	1	i	i	PRON
cuesj-43	211	2	+	+	X
cuesj-43	212	1	+	+	ADJ
cuesj-43	212	2	=	=	ADJ
cuesj-43	212	3	−1	−1	ADJ
cuesj-43	212	4	1	1	NUM
cuesj-43	212	5	(	(	PUNCT
cuesj-43	212	6	)	)	PUNCT
cuesj-43	212	7	(	(	PUNCT
cuesj-43	212	8	)	)	PUNCT
cuesj-43	212	9	.	.	PUNCT
cuesj-43	213	1	if	if	SCONJ
cuesj-43	213	2	e	e	PROPN
cuesj-43	213	3	ei	ei	X
cuesj-43	213	4	m+	m+	NUM
cuesj-43	213	5	<	<	NOUN
cuesj-43	213	6	1	1	NUM
cuesj-43	213	7	go	go	VERB
cuesj-43	213	8	to	to	ADP
cuesj-43	213	9	output	output	NOUN
cuesj-43	213	10	end	end	NOUN
cuesj-43	213	11	if	if	SCONJ
cuesj-43	213	12	end	end	NOUN
cuesj-43	213	13	for	for	ADP
cuesj-43	213	14	end	end	NOUN
cuesj-43	213	15	for	for	ADP
cuesj-43	213	16	output	output	NOUN
cuesj-43	213	17	:	:	PUNCT
cuesj-43	213	18	the	the	DET
cuesj-43	213	19	numerical	numerical	ADJ
cuesj-43	213	20	results	result	NOUN
cuesj-43	213	21	of	of	ADP
cuesj-43	213	22	the	the	DET
cuesj-43	213	23	technique	technique	NOUN
cuesj-43	213	24	u	u	NOUN
cuesj-43	213	25	xi	xi	ADP
cuesj-43	213	26	m+1	m+1	PROPN
cuesj-43	213	27	(	(	PUNCT
cuesj-43	213	28	)	)	PUNCT
cuesj-43	213	29	and	and	CCONJ
cuesj-43	213	30	ei	ei	ADP
cuesj-43	213	31	m+1	m+1	NUM
cuesj-43	213	32	.	.	PUNCT
cuesj-43	214	1	table	table	NOUN
cuesj-43	214	2	7	7	NUM
cuesj-43	214	3	:	:	PUNCT
cuesj-43	214	4	comparison	comparison	NOUN
cuesj-43	214	5	between	between	ADP
cuesj-43	214	6	the	the	DET
cuesj-43	214	7	results	result	NOUN
cuesj-43	214	8	for	for	ADP
cuesj-43	214	9	cooperating	cooperate	VERB
cuesj-43	214	10	mn	mn	PROPN
cuesj-43	214	11	with	with	ADP
cuesj-43	214	12	ssm	ssm	PROPN
cuesj-43	214	13	which	which	PRON
cuesj-43	214	14	depending	depend	VERB
cuesj-43	214	15	on	on	ADP
cuesj-43	214	16	lse	lse	PROPN
cuesj-43	214	17	and	and	CCONJ
cuesj-43	214	18	rt	rt	PROPN
cuesj-43	214	19	at	at	ADP
cuesj-43	214	20	appoint	appoint	NOUN
cuesj-43	214	21	number	number	NOUN
cuesj-43	214	22	of	of	ADP
cuesj-43	214	23	terms	term	NOUN
cuesj-43	214	24	criterion	criterion	NOUN
cuesj-43	214	25	of	of	ADP
cuesj-43	214	26	ssm	ssm	PROPN
cuesj-43	214	27	for	for	ADP
cuesj-43	214	28	u1(x)=−2ex	u1(x)=−2ex	ADJ
cuesj-43	214	29	criterion	criterion	NOUN
cuesj-43	214	30	of	of	ADP
cuesj-43	214	31	ssm	ssm	NOUN
cuesj-43	214	32	for	for	ADP
cuesj-43	214	33	u2(x)=−2xex	u2(x)=−2xex	PROPN
cuesj-43	214	34	x	x	SYM
cuesj-43	214	35	q	q	PROPN
cuesj-43	214	36	lse	lse	PROPN
cuesj-43	214	37	rt	rt	PROPN
cuesj-43	214	38	lse	lse	PROPN
cuesj-43	214	39	rt	rt	PROPN
cuesj-43	214	40	0.2	0.2	NUM
cuesj-43	214	41	3	3	NUM
cuesj-43	214	42	3.5573×10−6	3.5573×10−6	NUM
cuesj-43	214	43	0:0:1.852	0:0:1.852	NUM
cuesj-43	214	44	5.3428×10−6	5.3428×10−6	NUM
cuesj-43	214	45	0:0:1.852	0:0:1.852	NUM
cuesj-43	214	46	5	5	NUM
cuesj-43	214	47	4.2582×10−10	4.2582×10−10	NUM
cuesj-43	214	48	0:0:2.224	0:0:2.224	NUM
cuesj-43	215	1	3.6680×10−12	3.6680×10−12	NUM
cuesj-43	215	2	0:0:2.224	0:0:2.224	NUM
cuesj-43	215	3	7	7	NUM
cuesj-43	215	4	2.4006×10−12	2.4006×10−12	NUM
cuesj-43	215	5	0:0:3.036	0:0:3.036	PRON
cuesj-43	215	6	6.2314×10−13	6.2314×10−13	NUM
cuesj-43	215	7	0:0:3.036	0:0:3.036	NOUN
cuesj-43	215	8	9	9	NUM
cuesj-43	215	9	5.8062×10−15	5.8062×10−15	NUM
cuesj-43	215	10	0:0:4.368	0:0:4.368	NOUN
cuesj-43	215	11	7.7451×10−16	7.7451×10−16	NUM
cuesj-43	215	12	0:0:4.368	0:0:4.368	X
cuesj-43	215	13	lse	lse	PROPN
cuesj-43	215	14	:	:	PUNCT
cuesj-43	215	15	least	least	ADJ
cuesj-43	215	16	square	square	ADJ
cuesj-43	215	17	error	error	NOUN
cuesj-43	215	18	,	,	PUNCT
cuesj-43	215	19	rt	rt	PROPN
cuesj-43	215	20	:	:	PUNCT
cuesj-43	215	21	running	running	NOUN
cuesj-43	215	22	times	time	NOUN
cuesj-43	215	23	,	,	PUNCT
cuesj-43	215	24	ssm	ssm	PROPN
cuesj-43	215	25	:	:	PUNCT
cuesj-43	215	26	series	series	PROPN
cuesj-43	215	27	solution	solution	NOUN
cuesj-43	215	28	method	method	NOUN
cuesj-43	215	29	tables	table	NOUN
cuesj-43	215	30	8	8	NUM
cuesj-43	215	31	:	:	PUNCT
cuesj-43	215	32	comparison	comparison	NOUN
cuesj-43	215	33	between	between	ADP
cuesj-43	215	34	the	the	DET
cuesj-43	215	35	results	result	NOUN
cuesj-43	215	36	for	for	ADP
cuesj-43	215	37	cooperating	cooperate	VERB
cuesj-43	215	38	mn	mn	PROPN
cuesj-43	215	39	with	with	ADP
cuesj-43	215	40	ssm	ssm	PROPN
cuesj-43	215	41	which	which	DET
cuesj-43	215	42	depending	depend	VERB
cuesj-43	215	43	on	on	ADP
cuesj-43	215	44	lse	lse	PROPN
cuesj-43	215	45	and	and	CCONJ
cuesj-43	215	46	rt	rt	PROPN
cuesj-43	215	47	at	at	ADP
cuesj-43	215	48	a	a	DET
cuesj-43	215	49	point	point	NOUN
cuesj-43	215	50	number	number	NOUN
cuesj-43	215	51	of	of	ADP
cuesj-43	215	52	terms	term	NOUN
cuesj-43	215	53	criterion	criterion	NOUN
cuesj-43	215	54	of	of	ADP
cuesj-43	215	55	ssm	ssm	PROPN
cuesj-43	215	56	for	for	ADP
cuesj-43	215	57	u1(x)=−2sin	u1(x)=−2sin	PROPN
cuesj-43	215	58	 	 	SPACE
cuesj-43	215	59	(	(	PUNCT
cuesj-43	215	60	x	x	NOUN
cuesj-43	215	61	)	)	PUNCT
cuesj-43	215	62	criterion	criterion	NOUN
cuesj-43	215	63	of	of	ADP
cuesj-43	215	64	ssm	ssm	PROPN
cuesj-43	215	65	for	for	ADP
cuesj-43	215	66	u2(x)=−2cos	u2(x)=−2cos	PROPN
cuesj-43	215	67	 	 	SPACE
cuesj-43	215	68	(	(	PUNCT
cuesj-43	215	69	x	x	X
cuesj-43	215	70	)	)	PUNCT
cuesj-43	215	71	x	x	SYM
cuesj-43	215	72	q	q	PROPN
cuesj-43	215	73	lse	lse	PROPN
cuesj-43	215	74	of	of	ADP
cuesj-43	215	75	ssm	ssm	PROPN
cuesj-43	215	76	rt	rt	PROPN
cuesj-43	215	77	lse	lse	PROPN
cuesj-43	215	78	rt	rt	PROPN
cuesj-43	215	79	8	8	NUM
cuesj-43	215	80	π	π	PROPN
cuesj-43	215	81	3	3	NUM
cuesj-43	215	82	4.4116×10−5	4.4116×10−5	NUM
cuesj-43	215	83	0:0:1.7734	0:0:1.7734	NUM
cuesj-43	215	84	3.5411×10−4	3.5411×10−4	NUM
cuesj-43	215	85	0:0:1.7734	0:0:1.7734	NUM
cuesj-43	215	86	5	5	NUM
cuesj-43	215	87	3.2984×10−8	3.2984×10−8	NUM
cuesj-43	215	88	0:0:2.1453	0:0:2.1453	NUM
cuesj-43	215	89	4.6905×10−7	4.6905×10−7	NUM
cuesj-43	215	90	0:0:2.1453	0:0:2.1453	NUM
cuesj-43	215	91	7	7	NUM
cuesj-43	215	92	5.5205×10−12	5.5205×10−12	NUM
cuesj-43	215	93	0:0:2.9784	0:0:2.9784	NOUN
cuesj-43	215	94	4.8834×10−11	4.8834×10−11	NUM
cuesj-43	215	95	0:0:2.9784	0:0:2.9784	NOUN
cuesj-43	215	96	9	9	NUM
cuesj-43	215	97	6.8752×10−16	6.8752×10−16	NUM
cuesj-43	215	98	0:0:3.5621	0:0:3.5621	NUM
cuesj-43	216	1	5.9672×10−15	5.9672×10−15	NUM
cuesj-43	216	2	0:0:3.5621	0:0:3.5621	NUM
cuesj-43	216	3	lse	lse	NOUN
cuesj-43	216	4	:	:	PUNCT
cuesj-43	216	5	least	least	ADJ
cuesj-43	216	6	square	square	ADJ
cuesj-43	216	7	error	error	NOUN
cuesj-43	216	8	,	,	PUNCT
cuesj-43	216	9	rt	rt	PROPN
cuesj-43	216	10	:	:	PUNCT
cuesj-43	216	11	running	running	NOUN
cuesj-43	216	12	times	time	NOUN
cuesj-43	216	13	,	,	PUNCT
cuesj-43	216	14	ssm	ssm	PROPN
cuesj-43	216	15	:	:	PUNCT
cuesj-43	216	16	series	series	PROPN
cuesj-43	216	17	solution	solution	NOUN
cuesj-43	216	18	method	method	NOUN
cuesj-43	216	19	table	table	NOUN
cuesj-43	216	20	6	6	NUM
cuesj-43	216	21	:	:	PUNCT
cuesj-43	216	22	comparison	comparison	NOUN
cuesj-43	216	23	between	between	ADP
cuesj-43	216	24	the	the	DET
cuesj-43	216	25	results	result	NOUN
cuesj-43	216	26	which	which	PRON
cuesj-43	216	27	depending	depend	VERB
cuesj-43	216	28	on	on	ADP
cuesj-43	216	29	lse	lse	PROPN
cuesj-43	216	30	and	and	CCONJ
cuesj-43	216	31	rt	rt	PROPN
cuesj-43	216	32	at	at	ADP
cuesj-43	216	33	a	a	DET
cuesj-43	216	34	point	point	NOUN
cuesj-43	216	35	number	number	NOUN
cuesj-43	216	36	of	of	ADP
cuesj-43	216	37	terms	term	NOUN
cuesj-43	216	38	criterion	criterion	NOUN
cuesj-43	216	39	of	of	ADP
cuesj-43	216	40	ssm	ssm	PROPN
cuesj-43	216	41	for	for	ADP
cuesj-43	216	42	u1(x)=−2sin	u1(x)=−2sin	PROPN
cuesj-43	216	43	 	 	SPACE
cuesj-43	216	44	(	(	PUNCT
cuesj-43	216	45	x	x	NOUN
cuesj-43	216	46	)	)	PUNCT
cuesj-43	216	47	criterion	criterion	NOUN
cuesj-43	216	48	of	of	ADP
cuesj-43	216	49	ssm	ssm	PROPN
cuesj-43	216	50	for	for	ADP
cuesj-43	216	51	u2(x)=−2cos	u2(x)=−2cos	PROPN
cuesj-43	216	52	 	 	SPACE
cuesj-43	216	53	(	(	PUNCT
cuesj-43	216	54	x	x	X
cuesj-43	216	55	)	)	PUNCT
cuesj-43	216	56	x	x	SYM
cuesj-43	216	57	q	q	PROPN
cuesj-43	216	58	lse	lse	PROPN
cuesj-43	216	59	of	of	ADP
cuesj-43	216	60	ssm	ssm	PROPN
cuesj-43	216	61	rt	rt	PROPN
cuesj-43	216	62	lse	lse	PROPN
cuesj-43	216	63	rt	rt	PROPN
cuesj-43	216	64	8	8	NUM
cuesj-43	216	65	π	π	PROPN
cuesj-43	216	66	3	3	NUM
cuesj-43	216	67	6.3489×10−3	6.3489×10−3	NUM
cuesj-43	216	68	0:0:1.7734	0:0:1.7734	NUM
cuesj-43	216	69	2.0036×10−2	2.0036×10−2	NUM
cuesj-43	216	70	0:0:1.7734	0:0:1.7734	NUM
cuesj-43	216	71	5	5	NUM
cuesj-43	216	72	5.7823×10−6	5.7823×10−6	NUM
cuesj-43	216	73	0:0:2.1453	0:0:2.1453	NUM
cuesj-43	216	74	3.4437×10−6	3.4437×10−6	NUM
cuesj-43	216	75	0:0:2.1453	0:0:2.1453	NUM
cuesj-43	216	76	7	7	NUM
cuesj-43	216	77	3.5539×10−9	3.5539×10−9	NUM
cuesj-43	216	78	0:0:2.9784	0:0:2.9784	NOUN
cuesj-43	216	79	5.7284×10−9	5.7284×10−9	NUM
cuesj-43	216	80	0:0:2.9784	0:0:2.9784	NOUN
cuesj-43	216	81	9	9	NUM
cuesj-43	216	82	5.6127×10−11	5.6127×10−11	NUM
cuesj-43	216	83	0:0:3.5621	0:0:3.5621	PROPN
cuesj-43	216	84	4.3582×10−12	4.3582×10−12	NUM
cuesj-43	216	85	0:0:3.5621	0:0:3.5621	NUM
cuesj-43	216	86	lse	lse	PROPN
cuesj-43	216	87	:	:	PUNCT
cuesj-43	216	88	least	least	ADJ
cuesj-43	216	89	square	square	ADJ
cuesj-43	216	90	error	error	NOUN
cuesj-43	216	91	,	,	PUNCT
cuesj-43	216	92	rt	rt	PROPN
cuesj-43	216	93	:	:	PUNCT
cuesj-43	216	94	running	running	NOUN
cuesj-43	216	95	times	time	NOUN
cuesj-43	216	96	,	,	PUNCT
cuesj-43	216	97	ssm	ssm	PROPN
cuesj-43	216	98	:	:	PUNCT
cuesj-43	216	99	series	series	PROPN
cuesj-43	216	100	solution	solution	PROPN
cuesj-43	216	101	method	method	PROPN
cuesj-43	216	102	numerical	numerical	ADJ
cuesj-43	216	103	examples	example	NOUN
cuesj-43	216	104	and	and	CCONJ
cuesj-43	216	105	results	result	NOUN
cuesj-43	216	106	in	in	ADP
cuesj-43	216	107	this	this	DET
cuesj-43	216	108	section	section	NOUN
cuesj-43	216	109	,	,	PUNCT
cuesj-43	216	110	illustrating	illustrate	VERB
cuesj-43	216	111	the	the	DET
cuesj-43	216	112	technique	technique	NOUN
cuesj-43	216	113	from	from	ADP
cuesj-43	216	114	numerical	numerical	ADJ
cuesj-43	216	115	examples	example	NOUN
cuesj-43	216	116	.	.	PUNCT
cuesj-43	217	1	test	test	NOUN
cuesj-43	217	2	example	example	NOUN
cuesj-43	217	3	:	:	PUNCT
cuesj-43	217	4	solving	solve	VERB
cuesj-43	217	5	example	example	NOUN
cuesj-43	217	6	(	(	PUNCT
cuesj-43	217	7	1	1	X
cuesj-43	217	8	)	)	PUNCT
cuesj-43	217	9	using	use	VERB
cuesj-43	217	10	new	new	ADJ
cuesj-43	217	11	technique	technique	NOUN
cuesj-43	217	12	.	.	PUNCT
cuesj-43	218	1	solution	solution	NOUN
cuesj-43	218	2	:	:	PUNCT
cuesj-43	218	3	by	by	ADP
cuesj-43	218	4	cooperating	cooperate	VERB
cuesj-43	218	5	nm	nm	NOUN
cuesj-43	218	6	with	with	ADP
cuesj-43	218	7	ssm	ssm	PROPN
cuesj-43	218	8	,	,	PUNCT
cuesj-43	218	9	we	we	PRON
cuesj-43	218	10	get	get	VERB
cuesj-43	218	11	the	the	DET
cuesj-43	218	12	following	follow	VERB
cuesj-43	218	13	results	result	NOUN
cuesj-43	218	14	in	in	ADP
cuesj-43	218	15	table	table	NOUN
cuesj-43	218	16	1	1	NUM
cuesj-43	218	17	.	.	PUNCT
cuesj-43	218	18	test	test	NOUN
cuesj-43	218	19	example	example	NOUN
cuesj-43	218	20	:	:	PUNCT
cuesj-43	218	21	solving	solve	VERB
cuesj-43	218	22	example	example	NOUN
cuesj-43	218	23	(	(	PUNCT
cuesj-43	218	24	2	2	X
cuesj-43	218	25	)	)	PUNCT
cuesj-43	218	26	using	use	VERB
cuesj-43	218	27	new	new	ADJ
cuesj-43	218	28	technique	technique	NOUN
cuesj-43	218	29	.	.	PUNCT
cuesj-43	219	1	solution	solution	NOUN
cuesj-43	219	2	:	:	PUNCT
cuesj-43	219	3	by	by	ADP
cuesj-43	219	4	cooperating	cooperate	VERB
cuesj-43	219	5	nm	nm	NOUN
cuesj-43	219	6	with	with	ADP
cuesj-43	219	7	ssm	ssm	PROPN
cuesj-43	219	8	,	,	PUNCT
cuesj-43	219	9	we	we	PRON
cuesj-43	219	10	get	get	VERB
cuesj-43	219	11	the	the	DET
cuesj-43	219	12	following	follow	VERB
cuesj-43	219	13	results	result	NOUN
cuesj-43	219	14	in	in	ADP
cuesj-43	219	15	table	table	NOUN
cuesj-43	219	16	2	2	NUM
cuesj-43	219	17	.	.	PUNCT
cuesj-43	219	18	conclusion	conclusion	NOUN
cuesj-43	219	19	in	in	ADP
cuesj-43	219	20	this	this	DET
cuesj-43	219	21	paper	paper	NOUN
cuesj-43	219	22	,	,	PUNCT
cuesj-43	219	23	the	the	DET
cuesj-43	219	24	approximate	approximate	ADJ
cuesj-43	219	25	solutions	solution	NOUN
cuesj-43	219	26	of	of	ADP
cuesj-43	219	27	slmvfie-2	slmvfie-2	NUM
cuesj-43	219	28	by	by	ADP
cuesj-43	219	29	cooperating	cooperate	VERB
cuesj-43	219	30	newton	newton	PROPN
cuesj-43	219	31	’s	’s	PART
cuesj-43	219	32	method	method	NOUN
cuesj-43	219	33	with	with	ADP
cuesj-43	219	34	ssm	ssm	PROPN
cuesj-43	219	35	for	for	ADP
cuesj-43	219	36	solving	solve	VERB
cuesj-43	219	37	slmvfie-2	slmvfie-2	NUM
cuesj-43	219	38	are	be	AUX
cuesj-43	219	39	discussed	discuss	VERB
cuesj-43	219	40	.	.	PUNCT
cuesj-43	220	1	several	several	ADJ
cuesj-43	220	2	examples	example	NOUN
cuesj-43	220	3	were	be	AUX
cuesj-43	220	4	solved	solve	VERB
cuesj-43	220	5	for	for	ADP
cuesj-43	220	6	illustrating	illustrate	VERB
cuesj-43	220	7	the	the	DET
cuesj-43	220	8	technique	technique	NOUN
cuesj-43	220	9	and	and	CCONJ
cuesj-43	220	10	numerical	numerical	ADJ
cuesj-43	220	11	results	result	NOUN
cuesj-43	220	12	were	be	AUX
cuesj-43	220	13	achieved	achieve	VERB
cuesj-43	220	14	.	.	PUNCT
cuesj-43	221	1	after	after	ADP
cuesj-43	221	2	testing	test	VERB
cuesj-43	221	3	the	the	DET
cuesj-43	221	4	numerical	numerical	ADJ
cuesj-43	221	5	technique	technique	NOUN
cuesj-43	221	6	and	and	CCONJ
cuesj-43	221	7	its	its	PRON
cuesj-43	221	8	algorithm	algorithm	NOUN
cuesj-43	221	9	on	on	ADP
cuesj-43	221	10	numerical	numerical	ADJ
cuesj-43	221	11	examples	example	NOUN
cuesj-43	221	12	,	,	PUNCT
cuesj-43	221	13	the	the	DET
cuesj-43	221	14	results	result	NOUN
cuesj-43	221	15	are	be	AUX
cuesj-43	221	16	written	write	VERB
cuesj-43	221	17	in	in	ADP
cuesj-43	221	18	tables	table	NOUN
cuesj-43	221	19	1	1	NUM
cuesj-43	221	20	-	-	SYM
cuesj-43	221	21	4	4	NUM
cuesj-43	221	22	for	for	ADP
cuesj-43	221	23	ssm	ssm	NOUN
cuesj-43	221	24	and	and	CCONJ
cuesj-43	221	25	cooperating	cooperate	VERB
cuesj-43	221	26	newton	newton	PROPN
cuesj-43	221	27	’s	’s	PART
cuesj-43	221	28	method	method	NOUN
cuesj-43	221	29	with	with	ADP
cuesj-43	221	30	ssm	ssm	PROPN
cuesj-43	221	31	.	.	PUNCT
cuesj-43	222	1	when	when	SCONJ
cuesj-43	222	2	the	the	DET
cuesj-43	222	3	number	number	NOUN
cuesj-43	222	4	of	of	ADP
cuesj-43	222	5	terms	term	NOUN
cuesj-43	222	6	m	m	AUX
cuesj-43	222	7	increasing	increase	VERB
cuesj-43	222	8	,	,	PUNCT
cuesj-43	222	9	the	the	DET
cuesj-43	222	10	absolute	absolute	ADJ
cuesj-43	222	11	errors	error	NOUN
cuesj-43	222	12	are	be	AUX
cuesj-43	222	13	decreasing	decrease	VERB
cuesj-43	222	14	and	and	CCONJ
cuesj-43	222	15	the	the	DET
cuesj-43	222	16	convergence	convergence	NOUN
cuesj-43	222	17	is	be	AUX
cuesj-43	222	18	satisfactory	satisfactory	ADJ
cuesj-43	222	19	.	.	PUNCT
cuesj-43	223	1	in	in	ADP
cuesj-43	223	2	addition	addition	NOUN
cuesj-43	223	3	,	,	PUNCT
cuesj-43	223	4	the	the	DET
cuesj-43	223	5	least	least	ADV
cuesj-43	223	6	square	square	ADJ
cuesj-43	223	7	error	error	NOUN
cuesj-43	223	8	and	and	CCONJ
cuesj-43	223	9	running	running	NOUN
cuesj-43	223	10	times	time	NOUN
cuesj-43	223	11	are	be	AUX
cuesj-43	223	12	written	write	VERB
cuesj-43	223	13	in	in	ADP
cuesj-43	223	14	tables	table	NOUN
cuesj-43	223	15	5	5	NUM
cuesj-43	223	16	-	-	SYM
cuesj-43	223	17	8	8	NUM
cuesj-43	223	18	which	which	PRON
cuesj-43	223	19	are	be	AUX
cuesj-43	223	20	criterion	criterion	NOUN
cuesj-43	223	21	hasan	hasan	PROPN
cuesj-43	223	22	:	:	PUNCT
cuesj-43	223	23	cooperating	cooperate	VERB
cuesj-43	223	24	newton	newton	PROPN
cuesj-43	223	25	’s	’s	PART
cuesj-43	223	26	method	method	NOUN
cuesj-43	223	27	with	with	ADP
cuesj-43	223	28	series	series	NOUN
cuesj-43	223	29	solution	solution	NOUN
cuesj-43	223	30	method	method	NOUN
cuesj-43	223	31	33	33	NUM
cuesj-43	223	32	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-43	223	33	cuesj	cuesj	NOUN
cuesj-43	223	34	2019	2019	NUM
cuesj-43	223	35	,	,	PUNCT
cuesj-43	223	36	3	3	NUM
cuesj-43	223	37	(	(	PUNCT
cuesj-43	223	38	1	1	NUM
cuesj-43	223	39	):	):	PUNCT
cuesj-43	223	40	27	27	NUM
cuesj-43	223	41	-	-	SYM
cuesj-43	223	42	33	33	NUM
cuesj-43	223	43	of	of	ADP
cuesj-43	223	44	discussion	discussion	NOUN
cuesj-43	223	45	for	for	ADP
cuesj-43	223	46	the	the	DET
cuesj-43	223	47	technique	technique	NOUN
cuesj-43	223	48	which	which	PRON
cuesj-43	223	49	depending	depend	VERB
cuesj-43	223	50	on	on	ADP
cuesj-43	223	51	the	the	DET
cuesj-43	223	52	number	number	NOUN
cuesj-43	223	53	of	of	ADP
cuesj-43	223	54	terms	term	NOUN
cuesj-43	223	55	m.	m.	NOUN
cuesj-43	223	56	then	then	ADV
cuesj-43	223	57	,	,	PUNCT
cuesj-43	223	58	we	we	PRON
cuesj-43	223	59	conclude	conclude	VERB
cuesj-43	223	60	that	that	SCONJ
cuesj-43	223	61	the	the	DET
cuesj-43	223	62	cooperating	cooperate	VERB
cuesj-43	223	63	newton	newton	PROPN
cuesj-43	223	64	’s	’s	PART
cuesj-43	223	65	method	method	NOUN
cuesj-43	223	66	with	with	ADP
cuesj-43	223	67	ssm	ssm	PROPN
cuesj-43	223	68	is	be	AUX
cuesj-43	223	69	faster	fast	ADJ
cuesj-43	223	70	and	and	CCONJ
cuesj-43	223	71	better	well	ADJ
cuesj-43	223	72	than	than	ADP
cuesj-43	223	73	ssm	ssm	NOUN
cuesj-43	223	74	for	for	ADP
cuesj-43	223	75	getting	get	VERB
cuesj-43	223	76	the	the	DET
cuesj-43	223	77	approximate	approximate	ADJ
cuesj-43	223	78	solutions	solution	NOUN
cuesj-43	223	79	.	.	PUNCT
cuesj-43	224	1	therefore	therefore	ADV
cuesj-43	224	2	,	,	PUNCT
cuesj-43	224	3	this	this	DET
cuesj-43	224	4	technique	technique	NOUN
cuesj-43	224	5	is	be	AUX
cuesj-43	224	6	successful	successful	ADJ
cuesj-43	224	7	for	for	ADP
cuesj-43	224	8	getting	get	VERB
cuesj-43	224	9	the	the	DET
cuesj-43	224	10	numerical	numerical	ADJ
cuesj-43	224	11	solutions	solution	NOUN
cuesj-43	224	12	for	for	ADP
cuesj-43	224	13	this	this	DET
cuesj-43	224	14	class	class	NOUN
cuesj-43	224	15	of	of	ADP
cuesj-43	224	16	problems	problem	NOUN
cuesj-43	224	17	.	.	PUNCT
cuesj-43	225	1	references	reference	NOUN
cuesj-43	225	2	1	1	NUM
cuesj-43	225	3	.	.	PUNCT
cuesj-43	226	1	z.	z.	PROPN
cuesj-43	226	2	chen	chen	PROPN
cuesj-43	226	3	.	.	PUNCT
cuesj-43	227	1	“	"	PUNCT
cuesj-43	227	2	an	an	DET
cuesj-43	227	3	approximate	approximate	ADJ
cuesj-43	227	4	solution	solution	NOUN
cuesj-43	227	5	for	for	ADP
cuesj-43	227	6	a	a	DET
cuesj-43	227	7	mixed	mixed	ADJ
cuesj-43	227	8	linear	linear	PROPN
cuesj-43	227	9	volterra	volterra	NOUN
cuesj-43	227	10	fredholm	fredholm	VERB
cuesj-43	227	11	integral	integral	ADJ
cuesj-43	227	12	equation	equation	NOUN
cuesj-43	227	13	”	"	PUNCT
cuesj-43	227	14	.	.	PUNCT
cuesj-43	228	1	applied	apply	VERB
cuesj-43	228	2	mathematics	mathematics	NOUN
cuesj-43	228	3	letters	letter	NOUN
cuesj-43	228	4	,	,	PUNCT
cuesj-43	228	5	vol	vol	NOUN
cuesj-43	228	6	.	.	PROPN
cuesj-43	228	7	25	25	NUM
cuesj-43	228	8	,	,	PUNCT
cuesj-43	228	9	pp	pp	ADJ
cuesj-43	228	10	.	.	PUNCT
cuesj-43	229	1	1131	1131	NUM
cuesj-43	229	2	-	-	SYM
cuesj-43	229	3	1134	1134	NUM
cuesj-43	229	4	,	,	PUNCT
cuesj-43	229	5	2013	2013	NUM
cuesj-43	229	6	.	.	PUNCT
cuesj-43	230	1	2	2	X
cuesj-43	230	2	.	.	X
cuesj-43	230	3	m.	m.	NOUN
cuesj-43	230	4	paripour	paripour	NOUN
cuesj-43	230	5	and	and	CCONJ
cuesj-43	230	6	m.	m.	NOUN
cuesj-43	230	7	kamyar	kamyar	PROPN
cuesj-43	230	8	.	.	PUNCT
cuesj-43	231	1	“	"	PUNCT
cuesj-43	231	2	numerical	numerical	ADJ
cuesj-43	231	3	solution	solution	NOUN
cuesj-43	231	4	of	of	ADP
cuesj-43	231	5	nonlinear	nonlinear	PROPN
cuesj-43	231	6	volterra	volterra	PROPN
cuesj-43	231	7	-	-	PUNCT
cuesj-43	231	8	fredholm	fredholm	NOUN
cuesj-43	231	9	integral	integral	ADJ
cuesj-43	231	10	equations	equation	NOUN
cuesj-43	231	11	by	by	ADP
cuesj-43	231	12	using	use	VERB
cuesj-43	231	13	new	new	ADJ
cuesj-43	231	14	basis	basis	NOUN
cuesj-43	231	15	functions	function	NOUN
cuesj-43	231	16	”	"	PUNCT
cuesj-43	231	17	.	.	PUNCT
cuesj-43	232	1	communications	communication	NOUN
cuesj-43	232	2	in	in	ADP
cuesj-43	232	3	numerical	numerical	ADJ
cuesj-43	232	4	analysis	analysis	NOUN
cuesj-43	232	5	,	,	PUNCT
cuesj-43	232	6	vol	vol	NOUN
cuesj-43	232	7	.	.	PROPN
cuesj-43	232	8	1	1	NUM
cuesj-43	232	9	,	,	PUNCT
cuesj-43	232	10	no	no	INTJ
cuesj-43	232	11	.	.	NOUN
cuesj-43	232	12	17	17	NUM
cuesj-43	232	13	,	,	PUNCT
cuesj-43	232	14	pp	pp	ADJ
cuesj-43	232	15	.	.	PUNCT
cuesj-43	233	1	1	1	NUM
cuesj-43	233	2	-	-	SYM
cuesj-43	233	3	12	12	NUM
cuesj-43	233	4	,	,	PUNCT
cuesj-43	233	5	2013	2013	NUM
cuesj-43	233	6	.	.	PUNCT
cuesj-43	234	1	3	3	X
cuesj-43	234	2	.	.	PUNCT
cuesj-43	234	3	h.	h.	PROPN
cuesj-43	234	4	ibrahim	ibrahim	PROPN
cuesj-43	234	5	,	,	PUNCT
cuesj-43	234	6	f.	f.	PROPN
cuesj-43	234	7	attah	attah	PROPN
cuesj-43	234	8	and	and	CCONJ
cuesj-43	234	9	t.	t.	NOUN
cuesj-43	234	10	gyegwe	gyegwe	NOUN
cuesj-43	234	11	.	.	PUNCT
cuesj-43	235	1	“	"	PUNCT
cuesj-43	235	2	on	on	ADP
cuesj-43	235	3	the	the	DET
cuesj-43	235	4	solution	solution	NOUN
cuesj-43	235	5	of	of	ADP
cuesj-43	235	6	volterrafredholm	volterrafredholm	NOUN
cuesj-43	235	7	and	and	CCONJ
cuesj-43	235	8	mixed	mixed	ADJ
cuesj-43	235	9	volterra	volterra	NOUN
cuesj-43	235	10	-	-	PUNCT
cuesj-43	235	11	fredholm	fredholm	NOUN
cuesj-43	235	12	integral	integral	ADJ
cuesj-43	235	13	equations	equation	NOUN
cuesj-43	235	14	using	use	VERB
cuesj-43	235	15	the	the	DET
cuesj-43	235	16	new	new	ADJ
cuesj-43	235	17	iterative	iterative	NOUN
cuesj-43	235	18	method	method	NOUN
cuesj-43	235	19	”	"	PUNCT
cuesj-43	235	20	.	.	PUNCT
cuesj-43	235	21	applied	apply	VERB
cuesj-43	235	22	mathematics	mathematic	NOUN
cuesj-43	235	23	,	,	PUNCT
cuesj-43	235	24	vol	vol	NOUN
cuesj-43	235	25	.	.	PROPN
cuesj-43	235	26	6	6	NUM
cuesj-43	235	27	,	,	PUNCT
cuesj-43	235	28	no	no	INTJ
cuesj-43	235	29	.	.	NOUN
cuesj-43	235	30	1	1	NUM
cuesj-43	235	31	,	,	PUNCT
cuesj-43	235	32	pp	pp	ADJ
cuesj-43	235	33	.	.	PUNCT
cuesj-43	235	34	1	1	NUM
cuesj-43	235	35	-	-	SYM
cuesj-43	235	36	5	5	NUM
cuesj-43	235	37	,	,	PUNCT
cuesj-43	235	38	2016	2016	NUM
cuesj-43	235	39	.	.	PUNCT
cuesj-43	235	40	4	4	X
cuesj-43	235	41	.	.	PUNCT
cuesj-43	235	42	a.	a.	PROPN
cuesj-43	235	43	d.	d.	PROPN
cuesj-43	235	44	polynine	polynine	PROPN
cuesj-43	235	45	and	and	CCONJ
cuesj-43	235	46	a.	a.	NOUN
cuesj-43	235	47	v.	v.	PROPN
cuesj-43	235	48	manzhivove	manzhivove	PROPN
cuesj-43	235	49	.	.	PUNCT
cuesj-43	236	1	“	"	PUNCT
cuesj-43	236	2	handbook	handbook	NOUN
cuesj-43	236	3	of	of	ADP
cuesj-43	236	4	integral	integral	ADJ
cuesj-43	236	5	equations	equation	NOUN
cuesj-43	236	6	”	"	PUNCT
cuesj-43	236	7	.	.	PUNCT
cuesj-43	237	1	2nd	2nd	ADJ
cuesj-43	237	2	ed	ed	PROPN
cuesj-43	237	3	.	.	PUNCT
cuesj-43	238	1	united	united	PROPN
cuesj-43	238	2	states	states	PROPN
cuesj-43	238	3	of	of	ADP
cuesj-43	238	4	america	america	PROPN
cuesj-43	238	5	:	:	PUNCT
cuesj-43	238	6	crc	crc	PROPN
cuesj-43	238	7	press	press	PROPN
cuesj-43	238	8	,	,	PUNCT
cuesj-43	238	9	2008	2008	NUM
cuesj-43	238	10	,	,	PUNCT
cuesj-43	238	11	p.	p.	NOUN
cuesj-43	238	12	1238	1238	NUM
cuesj-43	238	13	.	.	PUNCT
cuesj-43	239	1	5	5	NUM
cuesj-43	239	2	.	.	PUNCT
cuesj-43	239	3	a.	a.	NOUN
cuesj-43	239	4	m.	m.	NOUN
cuesj-43	239	5	wazwaz	wazwaz	PROPN
cuesj-43	239	6	.	.	PUNCT
cuesj-43	240	1	“	"	PUNCT
cuesj-43	240	2	linear	linear	ADJ
cuesj-43	240	3	and	and	CCONJ
cuesj-43	240	4	non	non	ADJ
cuesj-43	240	5	-	-	ADJ
cuesj-43	240	6	linear	linear	ADJ
cuesj-43	240	7	integral	integral	ADJ
cuesj-43	240	8	equations	equation	NOUN
cuesj-43	240	9	methods	method	NOUN
cuesj-43	240	10	and	and	CCONJ
cuesj-43	240	11	applications	application	NOUN
cuesj-43	240	12	”	"	PUNCT
cuesj-43	240	13	.	.	PUNCT
cuesj-43	241	1	berlin	berlin	PROPN
cuesj-43	241	2	heidelberg	heidelberg	PROPN
cuesj-43	241	3	:	:	PUNCT
cuesj-43	241	4	springer	springer	NOUN
cuesj-43	241	5	-	-	PUNCT
cuesj-43	241	6	verlag	verlag	PROPN
cuesj-43	241	7	,	,	PUNCT
cuesj-43	241	8	2011	2011	NUM
cuesj-43	241	9	.	.	PUNCT
cuesj-43	242	1	6	6	NUM
cuesj-43	242	2	.	.	X
cuesj-43	242	3	b.	b.	PROPN
cuesj-43	242	4	g.	g.	PROPN
cuesj-43	242	5	pachpatte	pachpatte	PROPN
cuesj-43	242	6	.	.	PUNCT
cuesj-43	243	1	“	"	PUNCT
cuesj-43	243	2	on	on	ADP
cuesj-43	243	3	mixed	mixed	ADJ
cuesj-43	243	4	volterra	volterra	NOUN
cuesj-43	243	5	fredholm	fredholm	PROPN
cuesj-43	243	6	type	type	NOUN
cuesj-43	243	7	integral	integral	ADJ
cuesj-43	243	8	equations	equation	NOUN
cuesj-43	243	9	”	"	PUNCT
cuesj-43	243	10	.	.	PUNCT
cuesj-43	244	1	journal	journal	PROPN
cuesj-43	244	2	pure	pure	ADJ
cuesj-43	244	3	applied	applied	ADJ
cuesj-43	244	4	mathematics	mathematic	NOUN
cuesj-43	244	5	,	,	PUNCT
cuesj-43	244	6	vol	vol	NOUN
cuesj-43	244	7	.	.	PROPN
cuesj-43	244	8	17	17	NUM
cuesj-43	244	9	,	,	PUNCT
cuesj-43	244	10	no	no	INTJ
cuesj-43	244	11	.	.	NOUN
cuesj-43	244	12	4	4	NUM
cuesj-43	244	13	,	,	PUNCT
cuesj-43	244	14	pp	pp	ADJ
cuesj-43	244	15	.	.	PUNCT
cuesj-43	245	1	488	488	NUM
cuesj-43	245	2	-	-	SYM
cuesj-43	245	3	496	496	NUM
cuesj-43	245	4	,	,	PUNCT
cuesj-43	245	5	1986	1986	NUM
cuesj-43	245	6	.	.	PUNCT
cuesj-43	246	1	7	7	X
cuesj-43	246	2	.	.	X
cuesj-43	246	3	s.	s.	PROPN
cuesj-43	246	4	saleh	saleh	PROPN
cuesj-43	246	5	,	,	PUNCT
cuesj-43	246	6	t.	t.	PROPN
cuesj-43	246	7	i.	i.	PROPN
cuesj-43	246	8	hasan	hasan	PROPN
cuesj-43	246	9	and	and	CCONJ
cuesj-43	246	10	n.a	n.a	PROPN
cuesj-43	246	11	.	.	PROPN
cuesj-43	246	12	sulaiman	sulaiman	PROPN
cuesj-43	246	13	.	.	PUNCT
cuesj-43	247	1	“	"	PUNCT
cuesj-43	247	2	fixed	fix	VERB
cuesj-43	247	3	point	point	NOUN
cuesj-43	247	4	and	and	CCONJ
cuesj-43	247	5	its	its	PRON
cuesj-43	247	6	improvement	improvement	NOUN
cuesj-43	247	7	for	for	ADP
cuesj-43	247	8	the	the	DET
cuesj-43	247	9	system	system	NOUN
cuesj-43	247	10	of	of	ADP
cuesj-43	247	11	volterra	volterra	NOUN
cuesj-43	247	12	-	-	PUNCT
cuesj-43	247	13	fredholm	fredholm	NOUN
cuesj-43	247	14	integral	integral	ADJ
cuesj-43	247	15	equations	equation	NOUN
cuesj-43	247	16	of	of	ADP
cuesj-43	247	17	the	the	DET
cuesj-43	247	18	second	second	ADJ
cuesj-43	247	19	kind	kind	NOUN
cuesj-43	247	20	”	"	PUNCT
cuesj-43	247	21	.	.	PUNCT
cuesj-43	248	1	journal	journal	PROPN
cuesj-43	248	2	of	of	ADP
cuesj-43	248	3	matematika	matematika	NOUN
cuesj-43	248	4	,	,	PUNCT
cuesj-43	248	5	vol	vol	NOUN
cuesj-43	248	6	.	.	PROPN
cuesj-43	248	7	33	33	NUM
cuesj-43	248	8	,	,	PUNCT
cuesj-43	248	9	no	no	INTJ
cuesj-43	248	10	.	.	NOUN
cuesj-43	248	11	2	2	NUM
cuesj-43	248	12	,	,	PUNCT
cuesj-43	248	13	pp	pp	ADJ
cuesj-43	248	14	.	.	PUNCT
cuesj-43	249	1	191	191	NUM
cuesj-43	249	2	-	-	SYM
cuesj-43	249	3	206	206	NUM
cuesj-43	249	4	,	,	PUNCT
cuesj-43	249	5	2017	2017	NUM
cuesj-43	249	6	.	.	PUNCT
cuesj-43	250	1	8	8	NUM
cuesj-43	250	2	.	.	PUNCT
cuesj-43	251	1	k.	k.	PROPN
cuesj-43	251	2	maleknejad	maleknejad	PROPN
cuesj-43	251	3	and	and	CCONJ
cuesj-43	251	4	m.	m.	PROPN
cuesj-43	251	5	r.	r.	PROPN
cuesj-43	251	6	yami	yami	PROPN
cuesj-43	251	7	.	.	PUNCT
cuesj-43	252	1	“	"	PUNCT
cuesj-43	252	2	a	a	DET
cuesj-43	252	3	computational	computational	ADJ
cuesj-43	252	4	method	method	NOUN
cuesj-43	252	5	for	for	ADP
cuesj-43	252	6	system	system	NOUN
cuesj-43	252	7	of	of	ADP
cuesj-43	252	8	volterra	volterra	NOUN
cuesj-43	252	9	fredholm	fredholm	VERB
cuesj-43	252	10	integral	integral	ADJ
cuesj-43	252	11	equations	equation	NOUN
cuesj-43	252	12	”	"	PUNCT
cuesj-43	252	13	.	.	PUNCT
cuesj-43	253	1	applied	apply	VERB
cuesj-43	253	2	mathematics	mathematic	NOUN
cuesj-43	253	3	and	and	CCONJ
cuesj-43	253	4	computation	computation	NOUN
cuesj-43	253	5	,	,	PUNCT
cuesj-43	253	6	vol	vol	NOUN
cuesj-43	253	7	.	.	PROPN
cuesj-43	253	8	183	183	NUM
cuesj-43	253	9	,	,	PUNCT
cuesj-43	253	10	pp	pp	ADJ
cuesj-43	253	11	.	.	PUNCT
cuesj-43	254	1	589	589	NUM
cuesj-43	254	2	-	-	SYM
cuesj-43	254	3	595	595	NUM
cuesj-43	254	4	,	,	PUNCT
cuesj-43	254	5	2006	2006	NUM
cuesj-43	254	6	.	.	PUNCT
cuesj-43	255	1	9	9	X
cuesj-43	255	2	.	.	X
cuesj-43	255	3	m.	m.	NOUN
cuesj-43	255	4	rahmani	rahmani	PROPN
cuesj-43	255	5	.	.	PUNCT
cuesj-43	256	1	“	"	PUNCT
cuesj-43	256	2	integral	integral	ADJ
cuesj-43	256	3	equations	equation	NOUN
cuesj-43	256	4	and	and	CCONJ
cuesj-43	256	5	their	their	PRON
cuesj-43	256	6	application	application	NOUN
cuesj-43	256	7	”	"	PUNCT
cuesj-43	256	8	.	.	PUNCT
cuesj-43	257	1	great	great	ADJ
cuesj-43	257	2	britain	britain	PROPN
cuesj-43	257	3	:	:	PUNCT
cuesj-43	257	4	athenaeum	athenaeum	PROPN
cuesj-43	257	5	press	press	PROPN
cuesj-43	257	6	ltd	ltd	PROPN
cuesj-43	257	7	.	.	PROPN
cuesj-43	257	8	,	,	PUNCT
cuesj-43	257	9	2007	2007	NUM
cuesj-43	257	10	.	.	PUNCT
cuesj-43	258	1	10	10	NUM
cuesj-43	258	2	.	.	PUNCT
cuesj-43	259	1	t.	t.	PROPN
cuesj-43	259	2	young	young	PROPN
cuesj-43	259	3	and	and	CCONJ
cuesj-43	259	4	j.	j.	PROPN
cuesj-43	259	5	m.	m.	PROPN
cuesj-43	259	6	martin	martin	PROPN
cuesj-43	259	7	.	.	PUNCT
cuesj-43	260	1	“	"	PUNCT
cuesj-43	260	2	introduction	introduction	NOUN
cuesj-43	260	3	to	to	ADP
cuesj-43	260	4	numerical	numerical	ADJ
cuesj-43	260	5	method	method	NOUN
cuesj-43	260	6	and	and	CCONJ
cuesj-43	260	7	matlab	matlab	PROPN
cuesj-43	260	8	for	for	ADP
cuesj-43	260	9	engineers	engineer	NOUN
cuesj-43	260	10	”	"	PUNCT
cuesj-43	260	11	.	.	PUNCT
cuesj-43	261	1	athens	athens	PROPN
cuesj-43	261	2	,	,	PUNCT
cuesj-43	261	3	oh	oh	INTJ
cuesj-43	261	4	:	:	PUNCT
cuesj-43	261	5	ohio	ohio	PROPN
cuesj-43	261	6	university	university	PROPN
cuesj-43	261	7	,	,	PUNCT
cuesj-43	261	8	free	free	ADJ
cuesj-43	261	9	software	software	NOUN
cuesj-43	261	10	foundation	foundation	PROPN
cuesj-43	261	11	,	,	PUNCT
cuesj-43	261	12	2015	2015	NUM
cuesj-43	261	13	.	.	PUNCT
cuesj-43	262	1	author	author	NOUN
cuesj-43	262	2	queries	query	VERB
cuesj-43	262	3	?	?	PUNCT
cuesj-43	262	4	?	?	PUNCT
cuesj-43	262	5	?	?	PUNCT
cuesj-43	263	1	aq1	aq1	VERB
cuesj-43	263	2	:	:	PUNCT
cuesj-43	263	3	kindly	kindly	ADV
cuesj-43	263	4	cite	cite	VERB
cuesj-43	263	5	figures	figure	NOUN
cuesj-43	263	6	 	 	SPACE
cuesj-43	263	7	1	1	NUM
cuesj-43	263	8	and	and	CCONJ
cuesj-43	263	9	2	2	NUM
cuesj-43	263	10	in	in	ADP
cuesj-43	263	11	the	the	DET
cuesj-43	263	12	text	text	NOUN
cuesj-43	263	13	part	part	NOUN