id	sid	tid	token	lemma	pos
cuesj-1103	1	1	tx_1	tx_1	PROPN
cuesj-1103	1	2	~	~	X
cuesj-1103	1	3	abs	ab	NOUN
cuesj-1103	1	4	:	:	PUNCT
cuesj-1103	1	5	at	at	ADP
cuesj-1103	1	6	/	/	SYM
cuesj-1103	1	7	add	add	VERB
cuesj-1103	1	8	:	:	PUNCT
cuesj-1103	1	9	tx_2	tx_2	PROPN
cuesj-1103	1	10	~	~	NOUN
cuesj-1103	1	11	abs	ab	NOUN
cuesj-1103	1	12	:	:	PUNCT
cuesj-1103	1	13	at	at	ADP
cuesj-1103	1	14	41	41	NUM
cuesj-1103	1	15	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1103	1	16	cuesj	cuesj	NOUN
cuesj-1103	1	17	2024	2024	NUM
cuesj-1103	1	18	,	,	PUNCT
cuesj-1103	1	19	8	8	NUM
cuesj-1103	1	20	(	(	PUNCT
cuesj-1103	1	21	1	1	NUM
cuesj-1103	1	22	):	):	PUNCT
cuesj-1103	1	23	41	41	NUM
cuesj-1103	1	24	-	-	SYM
cuesj-1103	1	25	45	45	NUM
cuesj-1103	1	26	research	research	NOUN
cuesj-1103	1	27	article	article	NOUN
cuesj-1103	1	28	modification	modification	NOUN
cuesj-1103	1	29	of	of	ADP
cuesj-1103	1	30	adomian	adomian	ADJ
cuesj-1103	1	31	decomposition	decomposition	NOUN
cuesj-1103	1	32	method	method	NOUN
cuesj-1103	1	33	to	to	PART
cuesj-1103	1	34	solve	solve	VERB
cuesj-1103	1	35	two	two	NUM
cuesj-1103	1	36	dimensions	dimension	NOUN
cuesj-1103	1	37	volterra	volterra	NOUN
cuesj-1103	1	38	integral	integral	ADJ
cuesj-1103	1	39	equation	equation	NOUN
cuesj-1103	1	40	second	second	ADJ
cuesj-1103	1	41	kind	kind	NOUN
cuesj-1103	1	42	talhat	talhat	PROPN
cuesj-1103	1	43	i.	i.	PROPN
cuesj-1103	1	44	hassan1	hassan1	PROPN
cuesj-1103	1	45	,	,	PUNCT
cuesj-1103	1	46	chiman	chiman	ADJ
cuesj-1103	1	47	i.	i.	PROPN
cuesj-1103	1	48	hussein2	hussein2	PROPN
cuesj-1103	2	1	1department	1department	NUM
cuesj-1103	2	2	of	of	ADP
cuesj-1103	2	3	automative	automative	ADJ
cuesj-1103	2	4	technology	technology	NOUN
cuesj-1103	2	5	engineering	engineering	NOUN
cuesj-1103	2	6	,	,	PUNCT
cuesj-1103	2	7	erbil	erbil	PROPN
cuesj-1103	2	8	technology	technology	PROPN
cuesj-1103	2	9	college	college	PROPN
cuesj-1103	2	10	,	,	PUNCT
cuesj-1103	2	11	erbil	erbil	PROPN
cuesj-1103	2	12	polytechnic	polytechnic	PROPN
cuesj-1103	2	13	university	university	PROPN
cuesj-1103	2	14	,	,	PUNCT
cuesj-1103	2	15	kurdistan	kurdistan	PROPN
cuesj-1103	2	16	region	region	NOUN
cuesj-1103	2	17	,	,	PUNCT
cuesj-1103	2	18	iraq	iraq	PROPN
cuesj-1103	2	19	,	,	PUNCT
cuesj-1103	2	20	2department	2department	NUM
cuesj-1103	2	21	of	of	ADP
cuesj-1103	2	22	general	general	ADJ
cuesj-1103	2	23	sciences	sciences	PROPN
cuesj-1103	2	24	,	,	PUNCT
cuesj-1103	2	25	college	college	NOUN
cuesj-1103	2	26	of	of	ADP
cuesj-1103	2	27	basic	basic	ADJ
cuesj-1103	2	28	education	education	NOUN
cuesj-1103	2	29	,	,	PUNCT
cuesj-1103	2	30	salahaddin	salahaddin	VERB
cuesj-1103	2	31	university	university	NOUN
cuesj-1103	2	32	-	-	PUNCT
cuesj-1103	2	33	erbil	erbil	PROPN
cuesj-1103	2	34	,	,	PUNCT
cuesj-1103	2	35	kurdistan	kurdistan	ADJ
cuesj-1103	2	36	region	region	NOUN
cuesj-1103	2	37	,	,	PUNCT
cuesj-1103	2	38	iraq	iraq	PROPN
cuesj-1103	2	39	abstract	abstract	NOUN
cuesj-1103	2	40	in	in	ADP
cuesj-1103	2	41	this	this	DET
cuesj-1103	2	42	work	work	NOUN
cuesj-1103	2	43	,	,	PUNCT
cuesj-1103	2	44	the	the	DET
cuesj-1103	2	45	adomian	adomian	NOUN
cuesj-1103	2	46	decomposition	decomposition	NOUN
cuesj-1103	2	47	method	method	NOUN
cuesj-1103	2	48	is	be	AUX
cuesj-1103	2	49	proposed	propose	VERB
cuesj-1103	2	50	for	for	ADP
cuesj-1103	2	51	the	the	DET
cuesj-1103	2	52	first	first	ADJ
cuesj-1103	2	53	time	time	NOUN
cuesj-1103	2	54	to	to	PART
cuesj-1103	2	55	solve	solve	VERB
cuesj-1103	2	56	problems	problem	NOUN
cuesj-1103	2	57	in	in	ADP
cuesj-1103	2	58	two	two	NUM
cuesj-1103	2	59	-	-	PUNCT
cuesj-1103	2	60	dimensional	dimensional	ADJ
cuesj-1103	2	61	volterra	volterra	NOUN
cuesj-1103	2	62	integral	integral	ADJ
cuesj-1103	2	63	equations	equation	NOUN
cuesj-1103	2	64	of	of	ADP
cuesj-1103	2	65	the	the	DET
cuesj-1103	2	66	second	second	ADJ
cuesj-1103	2	67	kind	kind	NOUN
cuesj-1103	2	68	.	.	PUNCT
cuesj-1103	3	1	in	in	ADP
cuesj-1103	3	2	addition	addition	NOUN
cuesj-1103	3	3	,	,	PUNCT
cuesj-1103	3	4	modification	modification	NOUN
cuesj-1103	3	5	of	of	ADP
cuesj-1103	3	6	this	this	DET
cuesj-1103	3	7	method	method	NOUN
cuesj-1103	3	8	is	be	AUX
cuesj-1103	3	9	introduced	introduce	VERB
cuesj-1103	3	10	to	to	PART
cuesj-1103	3	11	address	address	VERB
cuesj-1103	3	12	this	this	DET
cuesj-1103	3	13	problem	problem	NOUN
cuesj-1103	3	14	.	.	PUNCT
cuesj-1103	4	1	several	several	ADJ
cuesj-1103	4	2	new	new	ADJ
cuesj-1103	4	3	theorems	theorem	NOUN
cuesj-1103	4	4	are	be	AUX
cuesj-1103	4	5	introduced	introduce	VERB
cuesj-1103	4	6	and	and	CCONJ
cuesj-1103	4	7	proven	prove	VERB
cuesj-1103	4	8	regarding	regard	VERB
cuesj-1103	4	9	contractive	contractive	ADJ
cuesj-1103	4	10	mapping	mapping	NOUN
cuesj-1103	4	11	and	and	CCONJ
cuesj-1103	4	12	uniform	uniform	ADJ
cuesj-1103	4	13	convergence	convergence	NOUN
cuesj-1103	4	14	to	to	PART
cuesj-1103	4	15	support	support	VERB
cuesj-1103	4	16	the	the	DET
cuesj-1103	4	17	method	method	NOUN
cuesj-1103	4	18	.	.	PUNCT
cuesj-1103	5	1	numerical	numerical	ADJ
cuesj-1103	5	2	problems	problem	NOUN
cuesj-1103	5	3	are	be	AUX
cuesj-1103	5	4	solved	solve	VERB
cuesj-1103	5	5	using	use	VERB
cuesj-1103	5	6	the	the	DET
cuesj-1103	5	7	software	software	NOUN
cuesj-1103	5	8	matlab	matlab	NOUN
cuesj-1103	5	9	to	to	PART
cuesj-1103	5	10	obtain	obtain	VERB
cuesj-1103	5	11	results	result	NOUN
cuesj-1103	5	12	and	and	CCONJ
cuesj-1103	5	13	demonstrate	demonstrate	VERB
cuesj-1103	5	14	the	the	DET
cuesj-1103	5	15	efficiency	efficiency	NOUN
cuesj-1103	5	16	and	and	CCONJ
cuesj-1103	5	17	simplicity	simplicity	NOUN
cuesj-1103	5	18	of	of	ADP
cuesj-1103	5	19	the	the	DET
cuesj-1103	5	20	technique	technique	NOUN
cuesj-1103	5	21	.	.	PUNCT
cuesj-1103	6	1	the	the	DET
cuesj-1103	6	2	modified	modify	VERB
cuesj-1103	6	3	adomian	adomian	NOUN
cuesj-1103	6	4	decomposition	decomposition	NOUN
cuesj-1103	6	5	method	method	NOUN
cuesj-1103	6	6	performs	perform	VERB
cuesj-1103	6	7	faster	fast	ADV
cuesj-1103	6	8	than	than	ADP
cuesj-1103	6	9	the	the	DET
cuesj-1103	6	10	adomian	adomian	NOUN
cuesj-1103	6	11	decomposition	decomposition	NOUN
cuesj-1103	6	12	method	method	NOUN
cuesj-1103	6	13	for	for	ADP
cuesj-1103	6	14	obtaining	obtain	VERB
cuesj-1103	6	15	results	result	NOUN
cuesj-1103	6	16	.	.	PUNCT
cuesj-1103	7	1	keywords	keyword	NOUN
cuesj-1103	7	2	:	:	PUNCT
cuesj-1103	7	3	adomian	adomian	NOUN
cuesj-1103	7	4	decomposition	decomposition	NOUN
cuesj-1103	7	5	method	method	NOUN
cuesj-1103	7	6	(	(	PUNCT
cuesj-1103	7	7	adm	adm	PROPN
cuesj-1103	7	8	)	)	PUNCT
cuesj-1103	7	9	,	,	PUNCT
cuesj-1103	7	10	two	two	NUM
cuesj-1103	7	11	-	-	PUNCT
cuesj-1103	7	12	dimensional	dimensional	ADJ
cuesj-1103	7	13	volterra	volterra	NOUN
cuesj-1103	7	14	integral	integral	ADJ
cuesj-1103	7	15	equations	equation	NOUN
cuesj-1103	7	16	numerical	numerical	PROPN
cuesj-1103	7	17	solution	solution	NOUN
cuesj-1103	7	18	,	,	PUNCT
cuesj-1103	7	19	least	least	ADJ
cuesj-1103	7	20	square	square	ADJ
cuesj-1103	7	21	error	error	NOUN
cuesj-1103	7	22	,	,	PUNCT
cuesj-1103	7	23	uniformly	uniformly	ADV
cuesj-1103	7	24	convergence	convergence	NOUN
cuesj-1103	7	25	introduction	introduction	NOUN
cuesj-1103	7	26	integral	integral	ADJ
cuesj-1103	7	27	equations	equation	NOUN
cuesj-1103	7	28	are	be	AUX
cuesj-1103	7	29	a	a	DET
cuesj-1103	7	30	branch	branch	NOUN
cuesj-1103	7	31	of	of	ADP
cuesj-1103	7	32	mathematics	mathematic	NOUN
cuesj-1103	7	33	that	that	PRON
cuesj-1103	7	34	plays	play	VERB
cuesj-1103	7	35	a	a	DET
cuesj-1103	7	36	significant	significant	ADJ
cuesj-1103	7	37	role	role	NOUN
cuesj-1103	7	38	in	in	ADP
cuesj-1103	7	39	various	various	ADJ
cuesj-1103	7	40	fields	field	NOUN
cuesj-1103	7	41	.	.	PUNCT
cuesj-1103	8	1	over	over	ADP
cuesj-1103	8	2	recent	recent	ADJ
cuesj-1103	8	3	decades	decade	NOUN
cuesj-1103	8	4	,	,	PUNCT
cuesj-1103	8	5	many	many	ADJ
cuesj-1103	8	6	problems	problem	NOUN
cuesj-1103	8	7	involving	involve	VERB
cuesj-1103	8	8	integral	integral	ADJ
cuesj-1103	8	9	equations	equation	NOUN
cuesj-1103	8	10	have	have	AUX
cuesj-1103	8	11	been	be	AUX
cuesj-1103	8	12	formulated	formulate	VERB
cuesj-1103	8	13	from	from	ADP
cuesj-1103	8	14	different	different	ADJ
cuesj-1103	8	15	scenarios	scenario	NOUN
cuesj-1103	8	16	in	in	ADP
cuesj-1103	8	17	applied	apply	VERB
cuesj-1103	8	18	sciences	science	NOUN
cuesj-1103	8	19	such	such	ADJ
cuesj-1103	8	20	as	as	ADP
cuesj-1103	8	21	mathematical	mathematical	ADJ
cuesj-1103	8	22	physics	physics	NOUN
cuesj-1103	8	23	,	,	PUNCT
cuesj-1103	8	24	engineering	engineering	NOUN
cuesj-1103	8	25	,	,	PUNCT
cuesj-1103	8	26	and	and	CCONJ
cuesj-1103	8	27	electromagnetic	electromagnetic	ADJ
cuesj-1103	8	28	waves	wave	NOUN
cuesj-1103	8	29	[	[	X
cuesj-1103	8	30	1	1	NUM
cuesj-1103	8	31	]	]	PUNCT
cuesj-1103	8	32	,	,	PUNCT
cuesj-1103	8	33	[	[	X
cuesj-1103	8	34	3	3	NUM
cuesj-1103	8	35	]	]	PUNCT
cuesj-1103	8	36	,	,	PUNCT
cuesj-1103	8	37	[	[	X
cuesj-1103	8	38	7	7	NUM
cuesj-1103	8	39	]	]	PUNCT
cuesj-1103	8	40	.	.	PUNCT
cuesj-1103	9	1	varies	vary	VERB
cuesj-1103	9	2	problems	problem	NOUN
cuesj-1103	9	3	have	have	AUX
cuesj-1103	9	4	evolved	evolve	VERB
cuesj-1103	9	5	in	in	ADP
cuesj-1103	9	6	two	two	NUM
cuesj-1103	9	7	–	–	PUNCT
cuesj-1103	9	8	dimensional	dimensional	ADJ
cuesj-1103	9	9	(	(	PUNCT
cuesj-1103	9	10	2d	2d	NOUN
cuesj-1103	9	11	)	)	PUNCT
cuesj-1103	9	12	integral	integral	ADJ
cuesj-1103	9	13	equations	equation	NOUN
cuesj-1103	9	14	,	,	PUNCT
cuesj-1103	9	15	with	with	ADP
cuesj-1103	9	16	one	one	NUM
cuesj-1103	9	17	type	type	NOUN
cuesj-1103	9	18	being	be	AUX
cuesj-1103	9	19	the	the	DET
cuesj-1103	9	20	2d	2d	NUM
cuesj-1103	9	21	volterra	volterra	NOUN
cuesj-1103	9	22	equation	equation	NOUN
cuesj-1103	9	23	of	of	ADP
cuesj-1103	9	24	the	the	DET
cuesj-1103	9	25	second	second	ADJ
cuesj-1103	9	26	kind	kind	NOUN
cuesj-1103	9	27	(	(	PUNCT
cuesj-1103	9	28	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	9	29	)	)	PUNCT
cuesj-1103	9	30	.	.	PUNCT
cuesj-1103	10	1	the	the	DET
cuesj-1103	10	2	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	10	3	arises	arise	VERB
cuesj-1103	10	4	in	in	ADP
cuesj-1103	10	5	various	various	ADJ
cuesj-1103	10	6	phenomena	phenomenon	NOUN
cuesj-1103	10	7	,	,	PUNCT
cuesj-1103	10	8	physics	physics	NOUN
cuesj-1103	10	9	,	,	PUNCT
cuesj-1103	10	10	and	and	CCONJ
cuesj-1103	10	11	engineering	engineering	NOUN
cuesj-1103	10	12	areas	area	NOUN
cuesj-1103	10	13	as	as	ADP
cuesj-1103	10	14	the	the	DET
cuesj-1103	10	15	electric	electric	ADJ
cuesj-1103	10	16	field	field	NOUN
cuesj-1103	10	17	integral	integral	ADJ
cuesj-1103	10	18	equation	equation	NOUN
cuesj-1103	10	19	,	,	PUNCT
cuesj-1103	10	20	and	and	CCONJ
cuesj-1103	10	21	partial	partial	ADJ
cuesj-1103	10	22	differentiation	differentiation	NOUN
cuesj-1103	10	23	equations	equation	NOUN
cuesj-1103	10	24	defined	define	VERB
cuesj-1103	10	25	in	in	ADP
cuesj-1103	10	26	closed	closed	ADJ
cuesj-1103	10	27	regions	region	NOUN
cuesj-1103	10	28	can	can	AUX
cuesj-1103	10	29	be	be	AUX
cuesj-1103	10	30	transformed	transform	VERB
cuesj-1103	10	31	into	into	ADP
cuesj-1103	10	32	this	this	DET
cuesj-1103	10	33	type	type	NOUN
cuesj-1103	11	1	[	[	X
cuesj-1103	11	2	5	5	NUM
cuesj-1103	11	3	]	]	PUNCT
cuesj-1103	11	4	,	,	PUNCT
cuesj-1103	11	5	[	[	X
cuesj-1103	11	6	6	6	NUM
cuesj-1103	11	7	]	]	PUNCT
cuesj-1103	11	8	,	,	PUNCT
cuesj-1103	11	9	[	[	X
cuesj-1103	11	10	9	9	NUM
cuesj-1103	11	11	]	]	PUNCT
cuesj-1103	11	12	.	.	PUNCT
cuesj-1103	12	1	usually	usually	ADV
cuesj-1103	12	2	,	,	PUNCT
cuesj-1103	12	3	finding	find	VERB
cuesj-1103	12	4	an	an	DET
cuesj-1103	12	5	analytic	analytic	ADJ
cuesj-1103	12	6	solution	solution	NOUN
cuesj-1103	12	7	for	for	ADP
cuesj-1103	12	8	tdvie-2	tdvie-2	NUM
cuesj-1103	12	9	is	be	AUX
cuesj-1103	12	10	very	very	ADV
cuesj-1103	12	11	difficult	difficult	ADJ
cuesj-1103	12	12	.	.	PUNCT
cuesj-1103	13	1	therefore	therefore	ADV
cuesj-1103	13	2	,	,	PUNCT
cuesj-1103	13	3	to	to	PART
cuesj-1103	13	4	address	address	VERB
cuesj-1103	13	5	these	these	DET
cuesj-1103	13	6	problems	problem	NOUN
cuesj-1103	13	7	,	,	PUNCT
cuesj-1103	13	8	we	we	PRON
cuesj-1103	13	9	must	must	AUX
cuesj-1103	13	10	find	find	VERB
cuesj-1103	13	11	the	the	DET
cuesj-1103	13	12	numerical	numerical	ADJ
cuesj-1103	13	13	solution	solution	NOUN
cuesj-1103	13	14	for	for	ADP
cuesj-1103	13	15	it	it	PRON
cuesj-1103	13	16	.	.	PUNCT
cuesj-1103	14	1	in	in	ADP
cuesj-1103	14	2	scientific	scientific	ADJ
cuesj-1103	14	3	research	research	NOUN
cuesj-1103	14	4	of	of	ADP
cuesj-1103	14	5	applied	apply	VERB
cuesj-1103	14	6	sciences	science	NOUN
cuesj-1103	14	7	,	,	PUNCT
cuesj-1103	14	8	the	the	DET
cuesj-1103	14	9	numerical	numerical	ADJ
cuesj-1103	14	10	method	method	NOUN
cuesj-1103	14	11	is	be	AUX
cuesj-1103	14	12	an	an	DET
cuesj-1103	14	13	important	important	ADJ
cuesj-1103	14	14	tool	tool	NOUN
cuesj-1103	14	15	for	for	ADP
cuesj-1103	14	16	treating	treat	VERB
cuesj-1103	14	17	integral	integral	ADJ
cuesj-1103	14	18	equations	equation	NOUN
cuesj-1103	14	19	[	[	X
cuesj-1103	14	20	10	10	NUM
cuesj-1103	14	21	]	]	PUNCT
cuesj-1103	14	22	,	,	PUNCT
cuesj-1103	15	1	[	[	X
cuesj-1103	15	2	12	12	NUM
cuesj-1103	15	3	]	]	PUNCT
cuesj-1103	15	4	,	,	PUNCT
cuesj-1103	15	5	[	[	X
cuesj-1103	15	6	13	13	NUM
cuesj-1103	15	7	]	]	PUNCT
cuesj-1103	15	8	,	,	PUNCT
cuesj-1103	15	9	14	14	NUM
cuesj-1103	15	10	]	]	PUNCT
cuesj-1103	15	11	.	.	PUNCT
cuesj-1103	16	1	another	another	DET
cuesj-1103	16	2	example	example	NOUN
cuesj-1103	16	3	is	be	AUX
cuesj-1103	16	4	the	the	DET
cuesj-1103	16	5	use	use	NOUN
cuesj-1103	16	6	of	of	ADP
cuesj-1103	16	7	numerical	numerical	ADJ
cuesj-1103	16	8	techniques	technique	NOUN
cuesj-1103	16	9	for	for	ADP
cuesj-1103	16	10	analyzing	analyze	VERB
cuesj-1103	16	11	the	the	DET
cuesj-1103	16	12	radiation	radiation	NOUN
cuesj-1103	16	13	of	of	ADP
cuesj-1103	16	14	dipole	dipole	NOUN
cuesj-1103	16	15	antenna	antenna	NOUN
cuesj-1103	16	16	.	.	PUNCT
cuesj-1103	17	1	evaluating	evaluate	VERB
cuesj-1103	17	2	radiation	radiation	NOUN
cuesj-1103	17	3	patterns	pattern	NOUN
cuesj-1103	17	4	for	for	ADP
cuesj-1103	17	5	td	td	NOUN
cuesj-1103	17	6	segments	segment	NOUN
cuesj-1103	17	7	in	in	ADP
cuesj-1103	17	8	three	three	NUM
cuesj-1103	17	9	-	-	PUNCT
cuesj-1103	17	10	dimensional	dimensional	ADJ
cuesj-1103	17	11	(	(	PUNCT
cuesj-1103	17	12	3d	3d	NOUN
cuesj-1103	17	13	)	)	PUNCT
cuesj-1103	17	14	patterns	pattern	NOUN
cuesj-1103	17	15	[	[	X
cuesj-1103	17	16	2	2	NUM
cuesj-1103	17	17	]	]	PUNCT
cuesj-1103	17	18	,	,	PUNCT
cuesj-1103	17	19	[	[	X
cuesj-1103	17	20	13	13	NUM
cuesj-1103	17	21	]	]	PUNCT
cuesj-1103	17	22	.	.	PUNCT
cuesj-1103	18	1	the	the	DET
cuesj-1103	18	2	numerical	numerical	ADJ
cuesj-1103	18	3	method	method	NOUN
cuesj-1103	18	4	was	be	AUX
cuesj-1103	18	5	used	use	VERB
cuesj-1103	18	6	to	to	PART
cuesj-1103	18	7	estimate	estimate	VERB
cuesj-1103	18	8	electromagnetically	electromagnetically	ADV
cuesj-1103	18	9	features	feature	NOUN
cuesj-1103	18	10	for	for	ADP
cuesj-1103	18	11	element	element	NOUN
cuesj-1103	18	12	-	-	PUNCT
cuesj-1103	18	13	loaded	load	VERB
cuesj-1103	18	14	media	medium	NOUN
cuesj-1103	18	15	such	such	ADJ
cuesj-1103	18	16	as	as	ADP
cuesj-1103	18	17	electromagnetic	electromagnetic	ADJ
cuesj-1103	18	18	waves	wave	NOUN
cuesj-1103	18	19	and	and	CCONJ
cuesj-1103	18	20	sea	sea	NOUN
cuesj-1103	18	21	ice	ice	NOUN
cuesj-1103	18	22	.	.	PUNCT
cuesj-1103	19	1	an	an	DET
cuesj-1103	19	2	example	example	NOUN
cuesj-1103	19	3	in	in	ADP
cuesj-1103	19	4	physics	physics	NOUN
cuesj-1103	19	5	is	be	AUX
cuesj-1103	19	6	the	the	DET
cuesj-1103	19	7	solid	solid	ADJ
cuesj-1103	19	8	angle	angle	NOUN
cuesj-1103	19	9	beam	beam	NOUN
cuesj-1103	19	10	of	of	ADP
cuesj-1103	19	11	an	an	DET
cuesj-1103	19	12	antenna	antenna	NOUN
cuesj-1103	19	13	,	,	PUNCT
cuesj-1103	19	14	which	which	PRON
cuesj-1103	19	15	is	be	AUX
cuesj-1103	19	16	described	describe	VERB
cuesj-1103	19	17	in	in	ADP
cuesj-1103	19	18	equation	equation	NOUN
cuesj-1103	19	19	(	(	PUNCT
cuesj-1103	19	20	1	1	X
cuesj-1103	19	21	)	)	PUNCT
cuesj-1103	19	22	showing	show	VERB
cuesj-1103	19	23	the	the	DET
cuesj-1103	19	24	integral	integral	ADJ
cuesj-1103	19	25	for	for	ADP
cuesj-1103	19	26	normalizing	normalize	VERB
cuesj-1103	19	27	power	power	NOUN
cuesj-1103	19	28	patterns	pattern	NOUN
cuesj-1103	19	29	on	on	ADP
cuesj-1103	19	30	a	a	DET
cuesj-1103	19	31	sphere	sphere	NOUN
cuesj-1103	19	32	(	(	PUNCT
cuesj-1103	19	33	4π	4π	NUM
cuesj-1103	19	34	,	,	PUNCT
cuesj-1103	19	35	s	s	X
cuesj-1103	19	36	,	,	PUNCT
cuesj-1103	19	37	r	r	NOUN
cuesj-1103	19	38	)	)	PUNCT
cuesj-1103	19	39	.	.	PUNCT
cuesj-1103	20	1	the	the	DET
cuesj-1103	20	2	mathematical	mathematical	ADJ
cuesj-1103	20	3	representation	representation	NOUN
cuesj-1103	20	4	of	of	ADP
cuesj-1103	20	5	it	it	PRON
cuesj-1103	20	6	is	be	AUX
cuesj-1103	20	7	given	give	VERB
cuesj-1103	20	8	by	by	ADP
cuesj-1103	20	9	equations	equation	NOUN
cuesj-1103	20	10	[	[	X
cuesj-1103	20	11	8	8	NUM
cuesj-1103	20	12	]	]	PUNCT
cuesj-1103	20	13	,	,	PUNCT
cuesj-1103	21	1	[	[	X
cuesj-1103	21	2	16	16	NUM
cuesj-1103	21	3	]	]	X
cuesj-1103	21	4	:	:	PUNCT
cuesj-1103	21	5	(	(	PUNCT
cuesj-1103	21	6	)	)	PUNCT
cuesj-1103	21	7	2	2	NUM
cuesj-1103	21	8	0	0	NUM
cuesj-1103	21	9	0	0	NUM
cuesj-1103	22	1	a	a	DET
cuesj-1103	22	2	p	p	X
cuesj-1103	22	3	ø	ø	NOUN
cuesj-1103	22	4	,	,	PUNCT
cuesj-1103	22	5	)	)	PUNCT
cuesj-1103	22	6	sin(ø)død	sin(ø)død	PROPN
cuesj-1103	23	1	π	π	PROPN
cuesj-1103	23	2	π	π	PROPN
cuesj-1103	23	3	ω	ω	PROPN
cuesj-1103	23	4	=	=	SYM
cuesj-1103	23	5	θ	θ	X
cuesj-1103	23	6	θ∫∫	θ∫∫	NOUN
cuesj-1103	23	7	and	and	CCONJ
cuesj-1103	23	8	4	4	NUM
cuesj-1103	23	9	a	a	DET
cuesj-1103	23	10	p(ø	p(ø	PROPN
cuesj-1103	23	11	,	,	PUNCT
cuesj-1103	23	12	)	)	PUNCT
cuesj-1103	23	13	d	d	X
cuesj-1103	23	14	s	s	X
cuesj-1103	23	15	r	r	NOUN
cuesj-1103	23	16	π	π	PROPN
cuesj-1103	23	17	ω	ω	NOUN
cuesj-1103	23	18	=	=	SYM
cuesj-1103	23	19	θ	θ	PROPN
cuesj-1103	23	20	ω∬	ω∬	NOUN
cuesj-1103	23	21	(	(	PUNCT
cuesj-1103	23	22	1	1	X
cuesj-1103	23	23	)	)	PUNCT
cuesj-1103	23	24	polar	polar	ADJ
cuesj-1103	23	25	coordinates	coordinate	NOUN
cuesj-1103	23	26	increments	increment	NOUN
cuesj-1103	23	27	are	be	AUX
cuesj-1103	23	28	displayed	display	VERB
cuesj-1103	23	29	.	.	PUNCT
cuesj-1103	24	1	solid	solid	ADJ
cuesj-1103	24	2	angle	angle	NOUN
cuesj-1103	24	3	da	da	X
cuesj-1103	24	4	=	=	PUNCT
cuesj-1103	24	5	r2dω	r2dω	X
cuesj-1103	24	6	over	over	ADP
cuesj-1103	24	7	the	the	DET
cuesj-1103	24	8	surface	surface	NOUN
cuesj-1103	24	9	of	of	ADP
cuesj-1103	24	10	a	a	DET
cuesj-1103	24	11	sphere	sphere	NOUN
cuesj-1103	24	12	of	of	ADP
cuesj-1103	24	13	radius	radius	NOUN
cuesj-1103	24	14	r	r	NOUN
cuesj-1103	24	15	,	,	PUNCT
cuesj-1103	24	16	where	where	SCONJ
cuesj-1103	24	17	dω	dω	NOUN
cuesj-1103	24	18	was	be	AUX
cuesj-1103	24	19	the	the	DET
cuesj-1103	24	20	solid	solid	ADJ
cuesj-1103	24	21	angle	angle	NOUN
cuesj-1103	24	22	that	that	PRON
cuesj-1103	24	23	was	be	AUX
cuesj-1103	24	24	subtended	subtend	VERB
cuesj-1103	24	25	by	by	ADP
cuesj-1103	24	26	area	area	NOUN
cuesj-1103	24	27	.	.	PUNCT
cuesj-1103	25	1	definitions	definition	NOUN
cuesj-1103	25	2	and	and	CCONJ
cuesj-1103	25	3	theorems	theorem	NOUN
cuesj-1103	25	4	introducing	introduce	VERB
cuesj-1103	25	5	some	some	DET
cuesj-1103	25	6	definitions	definition	NOUN
cuesj-1103	25	7	and	and	CCONJ
cuesj-1103	25	8	theorems	theorem	NOUN
cuesj-1103	25	9	.	.	PUNCT
cuesj-1103	26	1	definition	definition	NOUN
cuesj-1103	26	2	1	1	NUM
cuesj-1103	26	3	.	.	PUNCT
cuesj-1103	27	1	the	the	DET
cuesj-1103	27	2	following	follow	VERB
cuesj-1103	27	3	equation	equation	NOUN
cuesj-1103	27	4	(	(	PUNCT
cuesj-1103	27	5	)	)	PUNCT
cuesj-1103	27	6	(	(	PUNCT
cuesj-1103	27	7	)	)	PUNCT
cuesj-1103	27	8	(	(	PUNCT
cuesj-1103	27	9	)	)	PUNCT
cuesj-1103	27	10	(	(	PUNCT
cuesj-1103	27	11	)	)	PUNCT
cuesj-1103	27	12	h	h	NOUN
cuesj-1103	28	1	e	e	PROPN
cuesj-1103	28	2	a	a	PRON
cuesj-1103	28	3	c	c	X
cuesj-1103	28	4	u	u	NOUN
cuesj-1103	28	5	e	e	PROPN
cuesj-1103	28	6	,	,	PUNCT
cuesj-1103	28	7	h	h	PROPN
cuesj-1103	28	8	w	w	PROPN
cuesj-1103	28	9	e	e	PROPN
cuesj-1103	28	10	,	,	PUNCT
cuesj-1103	28	11	h	h	NOUN
cuesj-1103	28	12	g	g	PROPN
cuesj-1103	28	13	e	e	PROPN
cuesj-1103	28	14	,	,	PUNCT
cuesj-1103	28	15	h	h	NOUN
cuesj-1103	28	16	,	,	PUNCT
cuesj-1103	28	17	y	y	PROPN
cuesj-1103	28	18	,	,	PUNCT
cuesj-1103	28	19	z)u	z)u	X
cuesj-1103	28	20	y	y	PROPN
cuesj-1103	28	21	,	,	PUNCT
cuesj-1103	28	22	z	z	NOUN
cuesj-1103	28	23	dydz	dydz	NOUN
cuesj-1103	28	24	.	.	PUNCT
cuesj-1103	29	1	=	=	PUNCT
cuesj-1103	30	1	+	+	CCONJ
cuesj-1103	30	2	τ∫∫	τ∫∫	NOUN
cuesj-1103	30	3	(	(	PUNCT
cuesj-1103	30	4	2	2	X
cuesj-1103	30	5	)	)	PUNCT
cuesj-1103	30	6	corresponding	correspond	VERB
cuesj-1103	30	7	author	author	NOUN
cuesj-1103	30	8	:	:	PUNCT
cuesj-1103	30	9	talhat	talhat	PROPN
cuesj-1103	30	10	i.	i.	PROPN
cuesj-1103	30	11	hassan	hassan	PROPN
cuesj-1103	30	12	,	,	PUNCT
cuesj-1103	30	13	department	department	NOUN
cuesj-1103	30	14	of	of	ADP
cuesj-1103	30	15	automative	automative	ADJ
cuesj-1103	30	16	technology	technology	NOUN
cuesj-1103	30	17	engineering	engineering	NOUN
cuesj-1103	30	18	,	,	PUNCT
cuesj-1103	30	19	erbil	erbil	PROPN
cuesj-1103	30	20	technology	technology	PROPN
cuesj-1103	30	21	college	college	PROPN
cuesj-1103	30	22	,	,	PUNCT
cuesj-1103	30	23	erbil	erbil	PROPN
cuesj-1103	30	24	polytechnic	polytechnic	PROPN
cuesj-1103	30	25	university	university	PROPN
cuesj-1103	30	26	,	,	PUNCT
cuesj-1103	30	27	kurdistan	kurdistan	PROPN
cuesj-1103	30	28	region	region	NOUN
cuesj-1103	30	29	,	,	PUNCT
cuesj-1103	30	30	iraq	iraq	PROPN
cuesj-1103	30	31	.	.	PUNCT
cuesj-1103	31	1	e	e	X
cuesj-1103	31	2	-	-	NOUN
cuesj-1103	31	3	mail	mail	NOUN
cuesj-1103	31	4	:	:	PUNCT
cuesj-1103	31	5	talhat.hassan@epu.edu.iq	talhat.hassan@epu.edu.iq	NOUN
cuesj-1103	31	6	received	receive	VERB
cuesj-1103	31	7	:	:	PUNCT
cuesj-1103	31	8	february	february	NOUN
cuesj-1103	31	9	02	02	NUM
cuesj-1103	31	10	,	,	PUNCT
cuesj-1103	31	11	2024	2024	NUM
cuesj-1103	31	12	accepted	accept	VERB
cuesj-1103	31	13	:	:	PUNCT
cuesj-1103	31	14	april	april	PROPN
cuesj-1103	31	15	03	03	NUM
cuesj-1103	31	16	,	,	PUNCT
cuesj-1103	31	17	2024	2024	NUM
cuesj-1103	31	18	published	publish	VERB
cuesj-1103	31	19	:	:	PUNCT
cuesj-1103	31	20	june	june	PROPN
cuesj-1103	31	21	10	10	NUM
cuesj-1103	31	22	,	,	PUNCT
cuesj-1103	31	23	2024	2024	NUM
cuesj-1103	31	24	doi	doi	NOUN
cuesj-1103	31	25	:	:	PUNCT
cuesj-1103	31	26	10.24086	10.24086	NUM
cuesj-1103	31	27	/	/	SYM
cuesj-1103	31	28	cuesj.v8n1y2024.pp41	cuesj.v8n1y2024.pp41	PROPN
cuesj-1103	31	29	-	-	SYM
cuesj-1103	31	30	45	45	NUM
cuesj-1103	31	31	copyright	copyright	NOUN
cuesj-1103	31	32	©	©	PROPN
cuesj-1103	31	33	2024	2024	NUM
cuesj-1103	31	34	talhat	talhat	PROPN
cuesj-1103	31	35	i.	i.	PROPN
cuesj-1103	31	36	hassan	hassan	PROPN
cuesj-1103	31	37	,	,	PUNCT
cuesj-1103	31	38	chiman	chiman	ADJ
cuesj-1103	31	39	i.	i.	PROPN
cuesj-1103	31	40	hussein	hussein	PROPN
cuesj-1103	31	41	.	.	PUNCT
cuesj-1103	32	1	this	this	PRON
cuesj-1103	32	2	is	be	AUX
cuesj-1103	32	3	an	an	DET
cuesj-1103	32	4	open	open	ADJ
cuesj-1103	32	5	-	-	PUNCT
cuesj-1103	32	6	access	access	NOUN
cuesj-1103	32	7	article	article	NOUN
cuesj-1103	32	8	distributed	distribute	VERB
cuesj-1103	32	9	under	under	ADP
cuesj-1103	32	10	the	the	DET
cuesj-1103	32	11	creative	creative	ADJ
cuesj-1103	32	12	commons	common	NOUN
cuesj-1103	32	13	attribution	attribution	NOUN
cuesj-1103	32	14	license	license	NOUN
cuesj-1103	32	15	.	.	PUNCT
cuesj-1103	33	1	cihan	cihan	VERB
cuesj-1103	33	2	university	university	NOUN
cuesj-1103	33	3	-	-	PUNCT
cuesj-1103	33	4	erbil	erbil	PROPN
cuesj-1103	33	5	scientific	scientific	ADJ
cuesj-1103	33	6	journal	journal	NOUN
cuesj-1103	33	7	(	(	PUNCT
cuesj-1103	33	8	cuesj	cuesj	PROPN
cuesj-1103	33	9	)	)	PUNCT
cuesj-1103	33	10	https://creativecommons.org/licenses/by-nc-nd/4.0/	https://creativecommons.org/licenses/by-nc-nd/4.0/	PROPN
cuesj-1103	33	11	hassan	hassan	PROPN
cuesj-1103	33	12	and	and	CCONJ
cuesj-1103	33	13	hussein	hussein	PROPN
cuesj-1103	33	14	:	:	PUNCT
cuesj-1103	33	15	modification	modification	NOUN
cuesj-1103	33	16	of	of	ADP
cuesj-1103	33	17	adomian	adomian	ADJ
cuesj-1103	33	18	decomposition	decomposition	NOUN
cuesj-1103	33	19	method	method	NOUN
cuesj-1103	33	20	to	to	PART
cuesj-1103	33	21	solve	solve	VERB
cuesj-1103	33	22	two	two	NUM
cuesj-1103	33	23	dimensions	dimension	NOUN
cuesj-1103	33	24	42	42	NUM
cuesj-1103	33	25	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1103	33	26	cuesj	cuesj	NOUN
cuesj-1103	33	27	2024	2024	NUM
cuesj-1103	33	28	,	,	PUNCT
cuesj-1103	33	29	8	8	NUM
cuesj-1103	33	30	(	(	PUNCT
cuesj-1103	33	31	1	1	NUM
cuesj-1103	33	32	):	):	PUNCT
cuesj-1103	33	33	41	41	NUM
cuesj-1103	33	34	-	-	SYM
cuesj-1103	33	35	45	45	NUM
cuesj-1103	33	36	is	be	AUX
cuesj-1103	33	37	named	name	VERB
cuesj-1103	33	38	tdvie-2nd	tdvie-2nd	ADP
cuesj-1103	33	39	,	,	PUNCT
cuesj-1103	33	40	such	such	ADJ
cuesj-1103	33	41	that	that	PRON
cuesj-1103	33	42	w(e	w(e	NOUN
cuesj-1103	33	43	,	,	PUNCT
cuesj-1103	33	44	h	h	NOUN
cuesj-1103	33	45	)	)	PUNCT
cuesj-1103	33	46	and	and	CCONJ
cuesj-1103	33	47	g(e	g(e	PROPN
cuesj-1103	33	48	,	,	PUNCT
cuesj-1103	33	49	h	h	NOUN
cuesj-1103	33	50	,	,	PUNCT
cuesj-1103	33	51	y	y	PROPN
cuesj-1103	33	52	,	,	PUNCT
cuesj-1103	33	53	z	z	NOUN
cuesj-1103	33	54	)	)	PUNCT
cuesj-1103	33	55	≠	≠	PROPN
cuesj-1103	33	56	0	0	NUM
cuesj-1103	33	57	were	be	AUX
cuesj-1103	33	58	given	give	VERB
cuesj-1103	33	59	continuous	continuous	ADJ
cuesj-1103	33	60	functions	function	NOUN
cuesj-1103	33	61	on	on	ADP
cuesj-1103	33	62	region	region	NOUN
cuesj-1103	33	63	1	1	NUM
cuesj-1103	33	64	{	{	PUNCT
cuesj-1103	33	65	(	(	PUNCT
cuesj-1103	33	66	e	e	NOUN
cuesj-1103	33	67	,	,	PUNCT
cuesj-1103	33	68	h	h	NOUN
cuesj-1103	33	69	)	)	PUNCT
cuesj-1103	33	70	:	:	PUNCT
cuesj-1103	34	1	0	0	NUM
cuesj-1103	34	2	h	h	NOUN
cuesj-1103	34	3	c	c	NOUN
cuesj-1103	34	4	,	,	PUNCT
cuesj-1103	34	5	a	a	DET
cuesj-1103	34	6	e	e	NOUN
cuesj-1103	34	7	b}=	b}=	NOUN
cuesj-1103	34	8	≤	≤	NOUN
cuesj-1103	34	9	≤	≤	NOUN
cuesj-1103	34	10	≤	≤	NUM
cuesj-1103	34	11	≤s	≤s	NOUN
cuesj-1103	34	12	,	,	PUNCT
cuesj-1103	34	13	and	and	CCONJ
cuesj-1103	34	14	1{(e	1{(e	NUM
cuesj-1103	34	15	,	,	PUNCT
cuesj-1103	34	16	h	h	NOUN
cuesj-1103	34	17	,	,	PUNCT
cuesj-1103	34	18	y	y	PROPN
cuesj-1103	34	19	,	,	PUNCT
cuesj-1103	34	20	z	z	NOUN
cuesj-1103	34	21	)	)	PUNCT
cuesj-1103	34	22	:	:	PUNCT
cuesj-1103	34	23	a	a	DET
cuesj-1103	34	24	y	y	PROPN
cuesj-1103	34	25	e	e	PROPN
cuesj-1103	34	26	b,0	b,0	PROPN
cuesj-1103	34	27	z	z	PROPN
cuesj-1103	34	28	h	h	PROPN
cuesj-1103	34	29	c	c	NOUN
cuesj-1103	34	30	}	}	PUNCT
cuesj-1103	34	31	=	=	SYM
cuesj-1103	34	32	≤	≤	NUM
cuesj-1103	34	33	≤	≤	NUM
cuesj-1103	34	34	≤	≤	NOUN
cuesj-1103	34	35	≤	≤	NOUN
cuesj-1103	34	36	≤	≤	NOUN
cuesj-1103	34	37	≤p	≤p	NOUN
cuesj-1103	34	38	respectively	respectively	ADV
cuesj-1103	34	39	,	,	PUNCT
cuesj-1103	34	40	τ	τ	PROPN
cuesj-1103	34	41	is	be	AUX
cuesj-1103	34	42	a	a	DET
cuesj-1103	34	43	scalar	scalar	ADJ
cuesj-1103	34	44	while	while	SCONJ
cuesj-1103	34	45	u(x	u(x	NOUN
cuesj-1103	34	46	,	,	PUNCT
cuesj-1103	34	47	t	t	PROPN
cuesj-1103	34	48	)	)	PUNCT
cuesj-1103	34	49	is	be	AUX
cuesj-1103	34	50	the	the	DET
cuesj-1103	34	51	unknown	unknown	ADJ
cuesj-1103	34	52	functions.[4,14	functions.[4,14	NOUN
cuesj-1103	34	53	]	]	PUNCT
cuesj-1103	34	54	solving	solve	VERB
cuesj-1103	34	55	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	34	56	by	by	ADP
cuesj-1103	34	57	adm	adm	PROPN
cuesj-1103	34	58	.	.	PUNCT
cuesj-1103	35	1	here	here	ADV
cuesj-1103	35	2	,	,	PUNCT
cuesj-1103	35	3	reformulating	reformulate	VERB
cuesj-1103	35	4	and	and	CCONJ
cuesj-1103	35	5	applying	apply	VERB
cuesj-1103	35	6	adm	adm	NOUN
cuesj-1103	35	7	to	to	PART
cuesj-1103	35	8	solve	solve	VERB
cuesj-1103	35	9	tdvie-2nd	tdvie-2nd	ADP
cuesj-1103	35	10	,	,	PUNCT
cuesj-1103	35	11	let	let	VERB
cuesj-1103	35	12	u	u	PRON
cuesj-1103	35	13	e	e	NOUN
cuesj-1103	35	14	h	h	NOUN
cuesj-1103	35	15	u	u	VERB
cuesj-1103	35	16	i	i	PRON
cuesj-1103	35	17	n	n	VERB
cuesj-1103	35	18	i	i	PRON
cuesj-1103	35	19	,	,	PUNCT
cuesj-1103	35	20	,	,	PUNCT
cuesj-1103	35	21	�	�	PROPN
cuesj-1103	35	22	�	�	PROPN
cuesj-1103	35	23	�	�	PROPN
cuesj-1103	35	24	�	�	PROPN
cuesj-1103	35	25	�	�	PROPN
cuesj-1103	35	26	�	�	PROPN
cuesj-1103	35	27	�	�	PROPN
cuesj-1103	35	28	0	0	NUM
cuesj-1103	35	29	e	e	NOUN
cuesj-1103	35	30	h	h	NOUN
cuesj-1103	35	31	(	(	PUNCT
cuesj-1103	35	32	3	3	X
cuesj-1103	35	33	)	)	PUNCT
cuesj-1103	35	34	be	be	AUX
cuesj-1103	35	35	the	the	DET
cuesj-1103	35	36	numerical	numerical	ADJ
cuesj-1103	35	37	treatment	treatment	NOUN
cuesj-1103	35	38	for	for	ADP
cuesj-1103	35	39	equation	equation	NOUN
cuesj-1103	35	40	(	(	PUNCT
cuesj-1103	35	41	2	2	NUM
cuesj-1103	35	42	)	)	PUNCT
cuesj-1103	35	43	,	,	PUNCT
cuesj-1103	35	44	then	then	ADV
cuesj-1103	35	45	substituting	substitute	VERB
cuesj-1103	35	46	it	it	PRON
cuesj-1103	35	47	in	in	ADP
cuesj-1103	35	48	equation	equation	NOUN
cuesj-1103	35	49	(	(	PUNCT
cuesj-1103	35	50	1	1	X
cuesj-1103	35	51	)	)	PUNCT
cuesj-1103	35	52	we	we	PRON
cuesj-1103	35	53	get	get	VERB
cuesj-1103	35	54	(	(	PUNCT
cuesj-1103	35	55	)	)	PUNCT
cuesj-1103	35	56	(	(	PUNCT
cuesj-1103	35	57	)	)	PUNCT
cuesj-1103	35	58	(	(	PUNCT
cuesj-1103	35	59	)	)	PUNCT
cuesj-1103	35	60	(	(	PUNCT
cuesj-1103	35	61	)	)	PUNCT
cuesj-1103	35	62	t	t	NOUN
cuesj-1103	35	63	x	x	SYM
cuesj-1103	35	64	0	0	NUM
cuesj-1103	35	65	0a	0a	PROPN
cuesj-1103	35	66	c	c	X
cuesj-1103	35	67	e	e	NOUN
cuesj-1103	35	68	,	,	PUNCT
cuesj-1103	35	69	h	h	PROPN
cuesj-1103	35	70	w	w	PROPN
cuesj-1103	35	71	e	e	PROPN
cuesj-1103	35	72	,	,	PUNCT
cuesj-1103	35	73	h	h	NOUN
cuesj-1103	35	74	g	g	PROPN
cuesj-1103	35	75	e	e	PROPN
cuesj-1103	35	76	,	,	PUNCT
cuesj-1103	35	77	h	h	NOUN
cuesj-1103	35	78	,	,	PUNCT
cuesj-1103	35	79	y	y	PROPN
cuesj-1103	35	80	,	,	PUNCT
cuesj-1103	35	81	z	z	PROPN
cuesj-1103	35	82	y	y	PROPN
cuesj-1103	35	83	,	,	PUNCT
cuesj-1103	35	84	z	z	PROPN
cuesj-1103	35	85	dydz	dydz	NOUN
cuesj-1103	35	86	.	.	PUNCT
cuesj-1103	36	1	n	n	CCONJ
cuesj-1103	36	2	n	n	ADV
cuesj-1103	37	1	i	i	PRON
cuesj-1103	37	2	i	i	PRON
cuesj-1103	38	1	i	i	PRON
cuesj-1103	38	2	i	i	VERB
cuesj-1103	38	3	u	u	VERB
cuesj-1103	38	4	u	u	NOUN
cuesj-1103	38	5	=	=	NOUN
cuesj-1103	38	6	=	=	SYM
cuesj-1103	39	1	=	=	PUNCT
cuesj-1103	39	2	+	+	CCONJ
cuesj-1103	39	3	τ∑	τ∑	PRON
cuesj-1103	39	4	∑∫∫	∑∫∫	ADP
cuesj-1103	39	5	(	(	PUNCT
cuesj-1103	39	6	4	4	NUM
cuesj-1103	39	7	)	)	PUNCT
cuesj-1103	39	8	after	after	SCONJ
cuesj-1103	39	9	those	those	DET
cuesj-1103	39	10	powers	power	NOUN
cuesj-1103	39	11	for	for	ADP
cuesj-1103	39	12	ui	ui	PROPN
cuesj-1103	39	13	(	(	PUNCT
cuesj-1103	39	14	e	e	NOUN
cuesj-1103	39	15	,	,	PUNCT
cuesj-1103	39	16	h	h	NOUN
cuesj-1103	39	17	)	)	PUNCT
cuesj-1103	39	18	equaling	equal	VERB
cuesj-1103	39	19	,	,	PUNCT
cuesj-1103	39	20	we	we	PRON
cuesj-1103	39	21	get	get	VERB
cuesj-1103	39	22	u0	u0	ADJ
cuesj-1103	39	23	(	(	PUNCT
cuesj-1103	39	24	e	e	NOUN
cuesj-1103	39	25	,	,	PUNCT
cuesj-1103	39	26	h	h	NOUN
cuesj-1103	39	27	)	)	PUNCT
cuesj-1103	39	28	=	=	SYM
cuesj-1103	39	29	w(e	w(e	NOUN
cuesj-1103	39	30	,	,	PUNCT
cuesj-1103	39	31	h	h	NOUN
cuesj-1103	39	32	)	)	PUNCT
cuesj-1103	39	33	is	be	AUX
cuesj-1103	39	34	initial	initial	ADJ
cuesj-1103	39	35	solution	solution	NOUN
cuesj-1103	39	36	.	.	PUNCT
cuesj-1103	40	1	now	now	ADV
cuesj-1103	40	2	u1	u1	VERB
cuesj-1103	40	3	(	(	PUNCT
cuesj-1103	40	4	x	x	NOUN
cuesj-1103	40	5	,	,	PUNCT
cuesj-1103	40	6	t	t	PROPN
cuesj-1103	40	7	)	)	PUNCT
cuesj-1103	40	8	formulate	formulate	ADJ
cuesj-1103	40	9	as	as	ADP
cuesj-1103	40	10	(	(	PUNCT
cuesj-1103	40	11	)	)	PUNCT
cuesj-1103	40	12	(	(	PUNCT
cuesj-1103	40	13	)	)	PUNCT
cuesj-1103	40	14	(	(	PUNCT
cuesj-1103	40	15	)	)	PUNCT
cuesj-1103	40	16	(	(	PUNCT
cuesj-1103	40	17	)	)	PUNCT
cuesj-1103	40	18	h	h	NOUN
cuesj-1103	40	19	e	e	NOUN
cuesj-1103	40	20	1	1	NUM
cuesj-1103	40	21	0	0	NUM
cuesj-1103	40	22	a	a	DET
cuesj-1103	40	23	c	c	NOUN
cuesj-1103	40	24	e	e	NOUN
cuesj-1103	40	25	,	,	PUNCT
cuesj-1103	40	26	h	h	PROPN
cuesj-1103	40	27	w	w	PROPN
cuesj-1103	40	28	e	e	PROPN
cuesj-1103	40	29	,	,	PUNCT
cuesj-1103	40	30	h	h	NOUN
cuesj-1103	40	31	g	g	PROPN
cuesj-1103	40	32	e	e	PROPN
cuesj-1103	40	33	,	,	PUNCT
cuesj-1103	40	34	h	h	NOUN
cuesj-1103	40	35	,	,	PUNCT
cuesj-1103	40	36	y	y	PROPN
cuesj-1103	40	37	,	,	PUNCT
cuesj-1103	40	38	z	z	NOUN
cuesj-1103	40	39	)	)	PUNCT
cuesj-1103	40	40	y	y	PROPN
cuesj-1103	40	41	,	,	PUNCT
cuesj-1103	40	42	z	z	PROPN
cuesj-1103	40	43	dydz	dydz	NOUN
cuesj-1103	40	44	.	.	PUNCT
cuesj-1103	41	1	u	u	NOUN
cuesj-1103	41	2	uτ=	uτ=	NOUN
cuesj-1103	41	3	+	+	CCONJ
cuesj-1103	41	4	∫∫	∫∫	ADV
cuesj-1103	41	5	integrating	integrate	VERB
cuesj-1103	41	6	it	it	PRON
cuesj-1103	41	7	for	for	ADP
cuesj-1103	41	8	variables	variable	NOUN
cuesj-1103	41	9	.	.	PUNCT
cuesj-1103	42	1	then	then	ADV
cuesj-1103	42	2	u2	u2	PROPN
cuesj-1103	42	3	(	(	PUNCT
cuesj-1103	42	4	e	e	PROPN
cuesj-1103	42	5	,	,	PUNCT
cuesj-1103	42	6	h	h	NOUN
cuesj-1103	42	7	)	)	PUNCT
cuesj-1103	42	8	formulate	formulate	ADJ
cuesj-1103	42	9	as	as	ADP
cuesj-1103	42	10	(	(	PUNCT
cuesj-1103	42	11	)	)	PUNCT
cuesj-1103	42	12	(	(	PUNCT
cuesj-1103	42	13	)	)	PUNCT
cuesj-1103	42	14	(	(	PUNCT
cuesj-1103	42	15	)	)	PUNCT
cuesj-1103	42	16	(	(	PUNCT
cuesj-1103	42	17	)	)	PUNCT
cuesj-1103	42	18	h	h	NOUN
cuesj-1103	42	19	e	e	NOUN
cuesj-1103	42	20	2	2	NUM
cuesj-1103	42	21	1	1	NUM
cuesj-1103	42	22	a	a	DET
cuesj-1103	42	23	c	c	NOUN
cuesj-1103	42	24	e	e	NOUN
cuesj-1103	42	25	,	,	PUNCT
cuesj-1103	42	26	h	h	PROPN
cuesj-1103	42	27	w	w	PROPN
cuesj-1103	42	28	e	e	PROPN
cuesj-1103	42	29	,	,	PUNCT
cuesj-1103	42	30	h	h	NOUN
cuesj-1103	42	31	g	g	PROPN
cuesj-1103	42	32	e	e	PROPN
cuesj-1103	42	33	,	,	PUNCT
cuesj-1103	42	34	h	h	NOUN
cuesj-1103	42	35	,	,	PUNCT
cuesj-1103	42	36	y	y	PROPN
cuesj-1103	42	37	,	,	PUNCT
cuesj-1103	42	38	z	z	NOUN
cuesj-1103	42	39	)	)	PUNCT
cuesj-1103	42	40	y	y	PROPN
cuesj-1103	42	41	,	,	PUNCT
cuesj-1103	42	42	z	z	PROPN
cuesj-1103	42	43	dydz	dydz	NOUN
cuesj-1103	42	44	.	.	PUNCT
cuesj-1103	43	1	u	u	NOUN
cuesj-1103	43	2	u=	u=	PROPN
cuesj-1103	43	3	+	+	CCONJ
cuesj-1103	43	4	τ∫∫	τ∫∫	NOUN
cuesj-1103	43	5	then	then	ADV
cuesj-1103	43	6	the	the	DET
cuesj-1103	43	7	second	second	ADJ
cuesj-1103	43	8	formula	formula	NOUN
cuesj-1103	43	9	of	of	ADP
cuesj-1103	43	10	iterative	iterative	NOUN
cuesj-1103	43	11	.	.	PUNCT
cuesj-1103	44	1	we	we	PRON
cuesj-1103	44	2	find	find	VERB
cuesj-1103	44	3	u3	u3	NOUN
cuesj-1103	44	4	(	(	PUNCT
cuesj-1103	44	5	e	e	NOUN
cuesj-1103	44	6	,	,	PUNCT
cuesj-1103	44	7	h	h	NOUN
cuesj-1103	44	8	)	)	PUNCT
cuesj-1103	44	9	by	by	ADP
cuesj-1103	44	10	using	use	VERB
cuesj-1103	44	11	the	the	DET
cuesj-1103	44	12	form	form	NOUN
cuesj-1103	44	13	,	,	PUNCT
cuesj-1103	44	14	as	as	ADP
cuesj-1103	44	15	(	(	PUNCT
cuesj-1103	44	16	)	)	PUNCT
cuesj-1103	44	17	(	(	PUNCT
cuesj-1103	44	18	)	)	PUNCT
cuesj-1103	44	19	(	(	PUNCT
cuesj-1103	44	20	)	)	PUNCT
cuesj-1103	44	21	(	(	PUNCT
cuesj-1103	44	22	)	)	PUNCT
cuesj-1103	44	23	h	h	NOUN
cuesj-1103	44	24	e	e	NOUN
cuesj-1103	44	25	3	3	NUM
cuesj-1103	44	26	2	2	NUM
cuesj-1103	44	27	a	a	DET
cuesj-1103	44	28	c	c	NOUN
cuesj-1103	44	29	e	e	NOUN
cuesj-1103	44	30	,	,	PUNCT
cuesj-1103	44	31	h	h	PROPN
cuesj-1103	44	32	w	w	PROPN
cuesj-1103	44	33	e	e	PROPN
cuesj-1103	44	34	,	,	PUNCT
cuesj-1103	44	35	h	h	NOUN
cuesj-1103	44	36	g	g	PROPN
cuesj-1103	44	37	e	e	PROPN
cuesj-1103	44	38	,	,	PUNCT
cuesj-1103	44	39	h	h	NOUN
cuesj-1103	44	40	,	,	PUNCT
cuesj-1103	44	41	y	y	PROPN
cuesj-1103	44	42	,	,	PUNCT
cuesj-1103	44	43	z	z	NOUN
cuesj-1103	44	44	)	)	PUNCT
cuesj-1103	44	45	y	y	PROPN
cuesj-1103	44	46	,	,	PUNCT
cuesj-1103	44	47	z	z	PROPN
cuesj-1103	44	48	dydz	dydz	NOUN
cuesj-1103	44	49	.	.	PUNCT
cuesj-1103	45	1	u	u	NOUN
cuesj-1103	45	2	u=	u=	PROPN
cuesj-1103	45	3	+	+	CCONJ
cuesj-1103	45	4	τ∫∫	τ∫∫	PROPN
cuesj-1103	45	5	and	and	CCONJ
cuesj-1103	45	6	the	the	DET
cuesj-1103	45	7	general	general	ADJ
cuesj-1103	45	8	formula	formula	NOUN
cuesj-1103	45	9	of	of	ADP
cuesj-1103	45	10	the	the	DET
cuesj-1103	45	11	iterative	iterative	NOUN
cuesj-1103	45	12	method	method	NOUN
cuesj-1103	45	13	is	be	AUX
cuesj-1103	45	14	(	(	PUNCT
cuesj-1103	45	15	)	)	PUNCT
cuesj-1103	45	16	(	(	PUNCT
cuesj-1103	45	17	)	)	PUNCT
cuesj-1103	45	18	(	(	PUNCT
cuesj-1103	45	19	)	)	PUNCT
cuesj-1103	45	20	(	(	PUNCT
cuesj-1103	45	21	)	)	PUNCT
cuesj-1103	45	22	h	h	NOUN
cuesj-1103	45	23	e	e	NOUN
cuesj-1103	45	24	1	1	NUM
cuesj-1103	45	25	a	a	DET
cuesj-1103	45	26	c	c	NOUN
cuesj-1103	45	27	e	e	NOUN
cuesj-1103	45	28	,	,	PUNCT
cuesj-1103	45	29	h	h	PROPN
cuesj-1103	45	30	w	w	PROPN
cuesj-1103	45	31	e	e	PROPN
cuesj-1103	45	32	,	,	PUNCT
cuesj-1103	45	33	h	h	NOUN
cuesj-1103	45	34	g	g	PROPN
cuesj-1103	45	35	e	e	PROPN
cuesj-1103	45	36	,	,	PUNCT
cuesj-1103	45	37	h	h	NOUN
cuesj-1103	45	38	,	,	PUNCT
cuesj-1103	45	39	y	y	PROPN
cuesj-1103	45	40	,	,	PUNCT
cuesj-1103	45	41	z	z	NOUN
cuesj-1103	45	42	)	)	PUNCT
cuesj-1103	45	43	y	y	PROPN
cuesj-1103	45	44	,	,	PUNCT
cuesj-1103	45	45	z	z	PROPN
cuesj-1103	45	46	dydz	dydz	NOUN
cuesj-1103	45	47	.	.	PUNCT
cuesj-1103	46	1	n	n	CCONJ
cuesj-1103	46	2	nu	nu	PROPN
cuesj-1103	46	3	u	u	X
cuesj-1103	46	4	−=	−=	X
cuesj-1103	46	5	+	+	CCONJ
cuesj-1103	46	6	τ∫∫	τ∫∫	PROPN
cuesj-1103	46	7	(	(	PUNCT
cuesj-1103	46	8	5	5	NUM
cuesj-1103	46	9	)	)	PUNCT
cuesj-1103	46	10	after	after	ADP
cuesj-1103	46	11	computing	compute	VERB
cuesj-1103	46	12	these	these	DET
cuesj-1103	46	13	components	component	NOUN
cuesj-1103	46	14	,	,	PUNCT
cuesj-1103	46	15	we	we	PRON
cuesj-1103	46	16	get	get	VERB
cuesj-1103	46	17	the	the	DET
cuesj-1103	46	18	numerical	numerical	ADJ
cuesj-1103	46	19	solution	solution	NOUN
cuesj-1103	46	20	for	for	ADP
cuesj-1103	46	21	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	46	22	as	as	ADP
cuesj-1103	46	23	u	u	NOUN
cuesj-1103	46	24	u	u	NOUN
cuesj-1103	46	25	i	i	NOUN
cuesj-1103	46	26	n	n	VERB
cuesj-1103	47	1	i	i	NOUN
cuesj-1103	47	2	e	e	NOUN
cuesj-1103	47	3	h	h	NOUN
cuesj-1103	47	4	e	e	NOUN
cuesj-1103	47	5	h	h	NOUN
cuesj-1103	47	6	,	,	PUNCT
cuesj-1103	47	7	,	,	PUNCT
cuesj-1103	47	8	�	�	PROPN
cuesj-1103	47	9	�	�	PROPN
cuesj-1103	47	10	�	�	PROPN
cuesj-1103	47	11	�	�	PROPN
cuesj-1103	47	12	�	�	PROPN
cuesj-1103	47	13	�	�	PROPN
cuesj-1103	47	14	�	�	PROPN
cuesj-1103	47	15	0	0	NUM
cuesj-1103	47	16	note	note	VERB
cuesj-1103	47	17	that	that	SCONJ
cuesj-1103	47	18	,	,	PUNCT
cuesj-1103	47	19	we	we	PRON
cuesj-1103	47	20	chose	choose	VERB
cuesj-1103	47	21	y0	y0	PROPN
cuesj-1103	47	22	=	=	SYM
cuesj-1103	47	23	u0	u0	ADJ
cuesj-1103	47	24	(	(	PUNCT
cuesj-1103	47	25	e	e	NOUN
cuesj-1103	47	26	,	,	PUNCT
cuesj-1103	47	27	h	h	NOUN
cuesj-1103	47	28	)	)	PUNCT
cuesj-1103	47	29	=	=	SYM
cuesj-1103	47	30	w(e	w(e	NOUN
cuesj-1103	47	31	,	,	PUNCT
cuesj-1103	47	32	h	h	NOUN
cuesj-1103	47	33	)	)	PUNCT
cuesj-1103	47	34	,	,	PUNCT
cuesj-1103	47	35	and	and	CCONJ
cuesj-1103	47	36	the	the	DET
cuesj-1103	47	37	iteration	iteration	NOUN
cuesj-1103	47	38	y	y	PROPN
cuesj-1103	47	39	t	t	PROPN
cuesj-1103	47	40	yn	yn	PROPN
cuesj-1103	47	41	n	n	CCONJ
cuesj-1103	47	42	�	�	PROPN
cuesj-1103	47	43	�	�	PROPN
cuesj-1103	47	44	(	(	PUNCT
cuesj-1103	47	45	)	)	PUNCT
cuesj-1103	47	46	1	1	NUM
cuesj-1103	47	47	(	(	PUNCT
cuesj-1103	47	48	6	6	NUM
cuesj-1103	47	49	)	)	PUNCT
cuesj-1103	47	50	where	where	SCONJ
cuesj-1103	47	51	y	y	PROPN
cuesj-1103	47	52	un	un	PROPN
cuesj-1103	47	53	n	n	CCONJ
cuesj-1103	47	54	�	�	PROPN
cuesj-1103	47	55	�	�	PROPN
cuesj-1103	47	56	�	�	PROPN
cuesj-1103	47	57	e	e	NOUN
cuesj-1103	47	58	h	h	NOUN
cuesj-1103	47	59	,	,	PUNCT
cuesj-1103	47	60	and	and	CCONJ
cuesj-1103	47	61	(	(	PUNCT
cuesj-1103	47	62	)	)	PUNCT
cuesj-1103	47	63	(	(	PUNCT
cuesj-1103	47	64	)	)	PUNCT
cuesj-1103	47	65	h	h	NOUN
cuesj-1103	48	1	e	e	NOUN
cuesj-1103	48	2	1	1	NUM
cuesj-1103	48	3	a	a	DET
cuesj-1103	48	4	c	c	NOUN
cuesj-1103	48	5	(	(	PUNCT
cuesj-1103	48	6	)	)	PUNCT
cuesj-1103	48	7	g	g	PROPN
cuesj-1103	48	8	e	e	PROPN
cuesj-1103	48	9	,	,	PUNCT
cuesj-1103	48	10	h	h	NOUN
cuesj-1103	48	11	,	,	PUNCT
cuesj-1103	48	12	y	y	PROPN
cuesj-1103	48	13	,	,	PUNCT
cuesj-1103	48	14	z	z	NOUN
cuesj-1103	48	15	)	)	PUNCT
cuesj-1103	48	16	y	y	PROPN
cuesj-1103	48	17	,	,	PUNCT
cuesj-1103	48	18	z	z	PROPN
cuesj-1103	48	19	dydz	dydz	NOUN
cuesj-1103	48	20	.	.	PUNCT
cuesj-1103	49	1	n	n	CCONJ
cuesj-1103	49	2	nt	not	PART
cuesj-1103	49	3	y	y	PROPN
cuesj-1103	49	4	u	u	PROPN
cuesj-1103	49	5	−=	−=	ADP
cuesj-1103	49	6	τ∫∫	τ∫∫	NOUN
cuesj-1103	49	7	theorem	theorem	VERB
cuesj-1103	49	8	1	1	NUM
cuesj-1103	49	9	:	:	PUNCT
cuesj-1103	49	10	let	let	VERB
cuesj-1103	49	11	the	the	DET
cuesj-1103	49	12	smooth	smooth	ADJ
cuesj-1103	49	13	function	function	NOUN
cuesj-1103	49	14	u	u	NOUN
cuesj-1103	49	15	(	(	PUNCT
cuesj-1103	49	16	e	e	NOUN
cuesj-1103	49	17	,	,	PUNCT
cuesj-1103	49	18	h	h	NOUN
cuesj-1103	49	19	)	)	PUNCT
cuesj-1103	49	20	and	and	CCONJ
cuesj-1103	49	21	un(e	un(e	ADJ
cuesj-1103	49	22	,	,	PUNCT
cuesj-1103	49	23	h	h	NOUN
cuesj-1103	49	24	)	)	PUNCT
cuesj-1103	49	25	is	be	AUX
cuesj-1103	49	26	nth	nth	PROPN
cuesj-1103	49	27	numerical	numerical	ADJ
cuesj-1103	49	28	solution	solution	NOUN
cuesj-1103	49	29	for	for	ADP
cuesj-1103	49	30	z	z	PROPN
cuesj-1103	49	31	(	(	PUNCT
cuesj-1103	49	32	x	x	PROPN
cuesj-1103	49	33	,	,	PUNCT
cuesj-1103	49	34	t	t	PROPN
cuesj-1103	49	35	)	)	PUNCT
cuesj-1103	49	36	then	then	ADV
cuesj-1103	49	37	(	(	PUNCT
cuesj-1103	49	38	)	)	PUNCT
cuesj-1103	49	39	(	(	PUNCT
cuesj-1103	49	40	)	)	PUNCT
cuesj-1103	49	41	u	u	NOUN
cuesj-1103	49	42	e	e	NOUN
cuesj-1103	49	43	,	,	PUNCT
cuesj-1103	49	44	h	h	NOUN
cuesj-1103	49	45	e	e	NOUN
cuesj-1103	49	46	,	,	PUNCT
cuesj-1103	49	47	h	h	PROPN
cuesj-1103	49	48	(	(	PUNCT
cuesj-1103	49	49	2	2	NUM
cuesj-1103	49	50	)	)	PUNCT
cuesj-1103	49	51	n	n	CCONJ
cuesj-1103	49	52	n	n	CCONJ
cuesj-1103	49	53	eu	eu	PROPN
cuesj-1103	49	54	π	π	PROPN
cuesj-1103	49	55	λ	λ	PROPN
cuesj-1103	49	56	−	−	PROPN
cuesj-1103	49	57	≤	≤	NOUN
cuesj-1103	49	58	,	,	PUNCT
cuesj-1103	49	59	where	where	SCONJ
cuesj-1103	49	60	e	e	X
cuesj-1103	49	61	>	>	X
cuesj-1103	49	62	0	0	NUM
cuesj-1103	49	63	independence	independence	NOUN
cuesj-1103	49	64	on	on	ADP
cuesj-1103	49	65	n	n	PRON
cuesj-1103	49	66	and	and	CCONJ
cuesj-1103	49	67	bounded	bound	VERB
cuesj-1103	49	68	by	by	ADP
cuesj-1103	49	69	partial	partial	ADJ
cuesj-1103	49	70	derivatives	derivative	NOUN
cuesj-1103	49	71	of	of	ADP
cuesj-1103	49	72	u(e	u(e	PROPN
cuesj-1103	49	73	,	,	PUNCT
cuesj-1103	49	74	h	h	NOUN
cuesj-1103	49	75	)	)	PUNCT
cuesj-1103	50	1	where	where	SCONJ
cuesj-1103	50	2	π	π	NOUN
cuesj-1103	50	3	=	=	PUNCT
cuesj-1103	50	4	3.14287	3.14287	NUM
cuesj-1103	51	1	[	[	X
cuesj-1103	51	2	14	14	NUM
cuesj-1103	51	3	]	]	PUNCT
cuesj-1103	51	4	.	.	PUNCT
cuesj-1103	52	1	theorem	theorem	NOUN
cuesj-1103	52	2	2	2	NUM
cuesj-1103	52	3	:	:	PUNCT
cuesj-1103	52	4	assume	assume	VERB
cuesj-1103	52	5	u	u	PROPN
cuesj-1103	52	6	(	(	PUNCT
cuesj-1103	52	7	e	e	NOUN
cuesj-1103	52	8	,	,	PUNCT
cuesj-1103	52	9	h	h	NOUN
cuesj-1103	52	10	)	)	PUNCT
cuesj-1103	52	11	is	be	AUX
cuesj-1103	52	12	the	the	DET
cuesj-1103	52	13	actual	actual	ADJ
cuesj-1103	52	14	solution	solution	NOUN
cuesj-1103	52	15	for	for	ADP
cuesj-1103	52	16	tdvie-2nd	tdvie-2nd	ADP
cuesj-1103	52	17	,	,	PUNCT
cuesj-1103	52	18	such	such	ADJ
cuesj-1103	52	19	that	that	DET
cuesj-1103	52	20	w(e	w(e	NOUN
cuesj-1103	52	21	,	,	PUNCT
cuesj-1103	52	22	h	h	NOUN
cuesj-1103	52	23	)	)	PUNCT
cuesj-1103	52	24	defined	define	VERB
cuesj-1103	52	25	on	on	ADP
cuesj-1103	52	26	regions	region	NOUN
cuesj-1103	52	27	1{(e	1{(e	NUM
cuesj-1103	52	28	,	,	PUNCT
cuesj-1103	52	29	h	h	NOUN
cuesj-1103	52	30	)	)	PUNCT
cuesj-1103	52	31	:	:	PUNCT
cuesj-1103	52	32	a	a	DET
cuesj-1103	52	33	h	h	NOUN
cuesj-1103	52	34	b	b	NOUN
cuesj-1103	52	35	,	,	PUNCT
cuesj-1103	52	36	c	c	NOUN
cuesj-1103	52	37	e	e	X
cuesj-1103	52	38	c	c	NOUN
cuesj-1103	52	39	}	}	PUNCT
cuesj-1103	52	40	=	=	SYM
cuesj-1103	52	41	≤	≤	NUM
cuesj-1103	52	42	≤	≤	NUM
cuesj-1103	52	43	≤	≤	NUM
cuesj-1103	52	44	≤s	≤s	NOUN
cuesj-1103	52	45	and	and	CCONJ
cuesj-1103	52	46	g	g	PROPN
cuesj-1103	52	47	(	(	PUNCT
cuesj-1103	52	48	e	e	NOUN
cuesj-1103	52	49	,	,	PUNCT
cuesj-1103	52	50	h	h	NOUN
cuesj-1103	52	51	,	,	PUNCT
cuesj-1103	52	52	y	y	PROPN
cuesj-1103	52	53	,	,	PUNCT
cuesj-1103	52	54	z	z	NOUN
cuesj-1103	52	55	)	)	PUNCT
cuesj-1103	52	56	on	on	ADP
cuesj-1103	52	57	(	(	PUNCT
cuesj-1103	52	58	)	)	PUNCT
cuesj-1103	52	59	{	{	PUNCT
cuesj-1103	52	60	}	}	PUNCT
cuesj-1103	52	61	1e	1e	NUM
cuesj-1103	52	62	,	,	PUNCT
cuesj-1103	52	63	h	h	NOUN
cuesj-1103	52	64	,	,	PUNCT
cuesj-1103	52	65	y	y	PROPN
cuesj-1103	52	66	,	,	PUNCT
cuesj-1103	52	67	z	z	NOUN
cuesj-1103	52	68	:	:	PUNCT
cuesj-1103	52	69	a	a	DET
cuesj-1103	52	70	h	h	NOUN
cuesj-1103	52	71	e	e	NOUN
cuesj-1103	52	72	b	b	PROPN
cuesj-1103	52	73	,	,	PUNCT
cuesj-1103	52	74	c	c	PROPN
cuesj-1103	52	75	z	z	NOUN
cuesj-1103	52	76	h	h	NOUN
cuesj-1103	52	77	c	c	NOUN
cuesj-1103	52	78	=	=	SYM
cuesj-1103	52	79	≤	≤	NOUN
cuesj-1103	53	1	≤	≤	NUM
cuesj-1103	53	2	≤	≤	NOUN
cuesj-1103	53	3	≤	≤	NOUN
cuesj-1103	53	4	≤	≤	NUM
cuesj-1103	53	5	≤p	≤p	NOUN
cuesj-1103	53	6	are	be	AUX
cuesj-1103	53	7	bounded	bounded	ADJ
cuesj-1103	53	8	functions	function	NOUN
cuesj-1103	53	9	,	,	PUNCT
cuesj-1103	53	10	�	�	PROPN
cuesj-1103	53	11	then	then	ADV
cuesj-1103	53	12	l	l	PROPN
cuesj-1103	53	13	m	m	VERB
cuesj-1103	53	14	n	n	NUM
cuesj-1103	53	15	:	:	PUNCT
cuesj-1103	53	16	→	→	PUNCT
cuesj-1103	53	17	is	be	AUX
cuesj-1103	53	18	contractive	contractive	ADJ
cuesj-1103	53	19	mapping	mapping	NOUN
cuesj-1103	53	20	.	.	PUNCT
cuesj-1103	54	1	proof	proof	NOUN
cuesj-1103	54	2	:	:	PUNCT
cuesj-1103	54	3	the	the	DET
cuesj-1103	54	4	nth	nth	PROPN
cuesj-1103	54	5	numerical	numerical	ADJ
cuesj-1103	54	6	solution	solution	NOUN
cuesj-1103	54	7	defined	define	VERB
cuesj-1103	54	8	in	in	ADP
cuesj-1103	54	9	equation	equation	NOUN
cuesj-1103	54	10	(	(	PUNCT
cuesj-1103	54	11	5	5	NUM
cuesj-1103	54	12	)	)	PUNCT
cuesj-1103	54	13	as	as	ADP
cuesj-1103	54	14	,	,	PUNCT
cuesj-1103	54	15	(	(	PUNCT
cuesj-1103	54	16	)	)	PUNCT
cuesj-1103	54	17	(	(	PUNCT
cuesj-1103	54	18	)	)	PUNCT
cuesj-1103	54	19	(	(	PUNCT
cuesj-1103	54	20	)	)	PUNCT
cuesj-1103	54	21	h	h	NOUN
cuesj-1103	54	22	e	e	NOUN
cuesj-1103	54	23	1	1	NUM
cuesj-1103	54	24	a	a	DET
cuesj-1103	54	25	c	c	NOUN
cuesj-1103	54	26	e	e	NOUN
cuesj-1103	54	27	,	,	PUNCT
cuesj-1103	54	28	h	h	NOUN
cuesj-1103	54	29	g	g	PROPN
cuesj-1103	54	30	e	e	PROPN
cuesj-1103	54	31	,	,	PUNCT
cuesj-1103	54	32	h	h	NOUN
cuesj-1103	54	33	,	,	PUNCT
cuesj-1103	54	34	y	y	PROPN
cuesj-1103	54	35	,	,	PUNCT
cuesj-1103	54	36	z	z	NOUN
cuesj-1103	54	37	)	)	PUNCT
cuesj-1103	54	38	y	y	PROPN
cuesj-1103	54	39	,	,	PUNCT
cuesj-1103	54	40	z	z	PROPN
cuesj-1103	54	41	dydz	dydz	NOUN
cuesj-1103	54	42	.	.	PUNCT
cuesj-1103	55	1	n	n	CCONJ
cuesj-1103	55	2	nu	nu	PROPN
cuesj-1103	55	3	u	u	X
cuesj-1103	55	4	−=	−=	ADP
cuesj-1103	55	5	τ∫∫	τ∫∫	PROPN
cuesj-1103	55	6	now	now	ADV
cuesj-1103	55	7	(	(	PUNCT
cuesj-1103	55	8	)	)	PUNCT
cuesj-1103	55	9	(	(	PUNCT
cuesj-1103	55	10	)	)	PUNCT
cuesj-1103	55	11	(	(	PUNCT
cuesj-1103	55	12	)	)	PUNCT
cuesj-1103	55	13	(	(	PUNCT
cuesj-1103	55	14	)	)	PUNCT
cuesj-1103	55	15	(	(	PUNCT
cuesj-1103	55	16	)	)	PUNCT
cuesj-1103	55	17	(	(	PUNCT
cuesj-1103	55	18	)	)	PUNCT
cuesj-1103	55	19	h	h	NOUN
cuesj-1103	56	1	e	e	PROPN
cuesj-1103	56	2	a	a	DET
cuesj-1103	56	3	c	c	NOUN
cuesj-1103	56	4	h	h	NOUN
cuesj-1103	56	5	e	e	NOUN
cuesj-1103	56	6	1	1	NUM
cuesj-1103	56	7	a	a	DET
cuesj-1103	56	8	c	c	NOUN
cuesj-1103	56	9	l(u	l(u	PROPN
cuesj-1103	56	10	e	e	PROPN
cuesj-1103	56	11	,	,	PUNCT
cuesj-1103	56	12	h	h	NOUN
cuesj-1103	56	13	)	)	PUNCT
cuesj-1103	56	14	(	(	PUNCT
cuesj-1103	56	15	e	e	NOUN
cuesj-1103	56	16	,	,	PUNCT
cuesj-1103	56	17	h	h	NOUN
cuesj-1103	56	18	)	)	PUNCT
cuesj-1103	56	19	g	g	NOUN
cuesj-1103	56	20	e	e	PROPN
cuesj-1103	56	21	,	,	PUNCT
cuesj-1103	56	22	h	h	NOUN
cuesj-1103	56	23	,	,	PUNCT
cuesj-1103	56	24	y	y	PROPN
cuesj-1103	56	25	,	,	PUNCT
cuesj-1103	56	26	z)u	z)u	X
cuesj-1103	56	27	y	y	NOUN
cuesj-1103	56	28	,	,	PUNCT
cuesj-1103	56	29	z	z	PROPN
cuesj-1103	56	30	dydz	dydz	NOUN
cuesj-1103	56	31	g	g	PROPN
cuesj-1103	56	32	e	e	PROPN
cuesj-1103	56	33	,	,	PUNCT
cuesj-1103	56	34	h	h	NOUN
cuesj-1103	56	35	,	,	PUNCT
cuesj-1103	56	36	y	y	PROPN
cuesj-1103	56	37	,	,	PUNCT
cuesj-1103	56	38	z	z	NOUN
cuesj-1103	56	39	)	)	PUNCT
cuesj-1103	56	40	y	y	NOUN
cuesj-1103	56	41	,	,	PUNCT
cuesj-1103	56	42	z	z	NOUN
cuesj-1103	56	43	dydz	dydz	VERB
cuesj-1103	56	44	n	n	CCONJ
cuesj-1103	56	45	n	n	NOUN
cuesj-1103	56	46	l	l	NOUN
cuesj-1103	56	47	u	u	NOUN
cuesj-1103	56	48	u	u	NOUN
cuesj-1103	56	49	−	−	NOUN
cuesj-1103	56	50	−	−	PROPN
cuesj-1103	56	51	=	=	SYM
cuesj-1103	56	52	τ	τ	PROPN
cuesj-1103	56	53	−τ	−τ	VERB
cuesj-1103	56	54	∫∫	∫∫	PROPN
cuesj-1103	56	55	∫∫	∫∫	PROPN
cuesj-1103	56	56	�	�	PROPN
cuesj-1103	56	57	�	�	PROPN
cuesj-1103	56	58	�	�	PROPN
cuesj-1103	56	59	�	�	PROPN
cuesj-1103	56	60	�	�	PROPN
cuesj-1103	56	61	�	�	PROPN
cuesj-1103	56	62	�	�	PROPN
cuesj-1103	56	63	�	�	PROPN
cuesj-1103	56	64	�	�	PROPN
cuesj-1103	56	65	�	�	PROPN
cuesj-1103	56	66	�	�	PROPN
cuesj-1103	56	67	�	�	PROPN
cuesj-1103	56	68	a	a	DET
cuesj-1103	56	69	h	h	NOUN
cuesj-1103	57	1	c	c	NOUN
cuesj-1103	57	2	e	e	NOUN
cuesj-1103	57	3	g	g	PROPN
cuesj-1103	57	4	e	e	PROPN
cuesj-1103	57	5	h	h	NOUN
cuesj-1103	57	6	y	y	PROPN
cuesj-1103	57	7	z	z	PROPN
cuesj-1103	57	8	u	u	PROPN
cuesj-1103	57	9	y	y	PROPN
cuesj-1103	57	10	z	z	PROPN
cuesj-1103	57	11	y	y	PROPN
cuesj-1103	57	12	z	z	PROPN
cuesj-1103	57	13	dydz	dydz	PROPN
cuesj-1103	57	14	�	�	PROPN
cuesj-1103	57	15	,	,	PUNCT
cuesj-1103	57	16	,	,	PUNCT
cuesj-1103	57	17	,	,	PUNCT
cuesj-1103	57	18	)	)	PUNCT
cuesj-1103	57	19	(	(	PUNCT
cuesj-1103	57	20	,	,	PUNCT
cuesj-1103	57	21	,	,	PUNCT
cuesj-1103	57	22	un	un	PROPN
cuesj-1103	57	23	1	1	NUM
cuesj-1103	57	24	�	�	PROPN
cuesj-1103	57	25	�	�	PROPN
cuesj-1103	57	26	�	�	PROPN
cuesj-1103	57	27	�	�	PROPN
cuesj-1103	57	28	�	�	PROPN
cuesj-1103	57	29	�	�	PROPN
cuesj-1103	57	30	�	�	PROPN
cuesj-1103	57	31	�	�	PROPN
cuesj-1103	57	32	�	�	PROPN
cuesj-1103	57	33	�	�	PROPN
cuesj-1103	57	34	�	�	PROPN
cuesj-1103	57	35	�	�	PROPN
cuesj-1103	57	36	a	a	DET
cuesj-1103	57	37	h	h	NOUN
cuesj-1103	58	1	c	c	NOUN
cuesj-1103	58	2	e	e	NOUN
cuesj-1103	58	3	g	g	PROPN
cuesj-1103	58	4	e	e	PROPN
cuesj-1103	58	5	h	h	NOUN
cuesj-1103	58	6	y	y	PROPN
cuesj-1103	58	7	z	z	PROPN
cuesj-1103	58	8	u	u	PROPN
cuesj-1103	58	9	y	y	PROPN
cuesj-1103	58	10	z	z	PROPN
cuesj-1103	58	11	y	y	PROPN
cuesj-1103	58	12	z	z	PROPN
cuesj-1103	58	13	dydz	dydz	PROPN
cuesj-1103	58	14	�	�	PROPN
cuesj-1103	58	15	,	,	PUNCT
cuesj-1103	58	16	,	,	PUNCT
cuesj-1103	58	17	,	,	PUNCT
cuesj-1103	58	18	)	)	PUNCT
cuesj-1103	58	19	,	,	PUNCT
cuesj-1103	58	20	,	,	PUNCT
cuesj-1103	58	21	un	un	PROPN
cuesj-1103	58	22	1	1	NUM
cuesj-1103	58	23	since	since	SCONJ
cuesj-1103	58	24	g(e	g(e	PROPN
cuesj-1103	58	25	,	,	PUNCT
cuesj-1103	58	26	h	h	NOUN
cuesj-1103	58	27	,	,	PUNCT
cuesj-1103	58	28	y	y	PROPN
cuesj-1103	58	29	,	,	PUNCT
cuesj-1103	58	30	z	z	NOUN
cuesj-1103	58	31	)	)	PUNCT
cuesj-1103	58	32	bounded	bound	VERB
cuesj-1103	58	33	function	function	NOUN
cuesj-1103	58	34	then	then	ADV
cuesj-1103	58	35	g(e	g(e	PROPN
cuesj-1103	58	36	,	,	PUNCT
cuesj-1103	58	37	h	h	NOUN
cuesj-1103	58	38	,	,	PUNCT
cuesj-1103	58	39	y	y	PROPN
cuesj-1103	58	40	,	,	PUNCT
cuesj-1103	58	41	z	z	NOUN
cuesj-1103	58	42	≤	≤	NUM
cuesj-1103	59	1	d	d	X
cuesj-1103	59	2	)	)	PUNCT
cuesj-1103	59	3	�	�	PROPN
cuesj-1103	59	4	�	�	PROPN
cuesj-1103	59	5	�	�	PROPN
cuesj-1103	59	6	�	�	PROPN
cuesj-1103	59	7	�	�	PROPN
cuesj-1103	59	8	�	�	PROPN
cuesj-1103	59	9	�	�	PROPN
cuesj-1103	59	10	�	�	PROPN
cuesj-1103	59	11	�	�	PROPN
cuesj-1103	59	12	�	�	PROPN
cuesj-1103	59	13	�	�	PROPN
cuesj-1103	59	14	�	�	PROPN
cuesj-1103	59	15	�	�	PROPN
cuesj-1103	59	16	�	�	PROPN
cuesj-1103	59	17	�	�	PROPN
cuesj-1103	59	18	�	�	PROPN
cuesj-1103	59	19	�	�	PROPN
cuesj-1103	59	20	�	�	PROPN
cuesj-1103	59	21	�	�	PROPN
cuesj-1103	59	22	�	�	PROPN
cuesj-1103	59	23	�	�	PROPN
cuesj-1103	59	24	�	�	PROPN
cuesj-1103	59	25	�	�	PROPN
cuesj-1103	59	26	�	�	PROPN
cuesj-1103	59	27	a	a	DET
cuesj-1103	59	28	h	h	NOUN
cuesj-1103	60	1	c	c	NOUN
cuesj-1103	60	2	e	e	NOUN
cuesj-1103	60	3	a	a	DET
cuesj-1103	60	4	h	h	NOUN
cuesj-1103	60	5	c	c	NOUN
cuesj-1103	60	6	e	e	NOUN
cuesj-1103	60	7	d	d	PUNCT
cuesj-1103	60	8	u	u	X
cuesj-1103	60	9	y	y	PROPN
cuesj-1103	60	10	z	z	PROPN
cuesj-1103	60	11	y	y	PROPN
cuesj-1103	60	12	z	z	NOUN
cuesj-1103	60	13	dydz	dydz	NOUN
cuesj-1103	61	1	d	d	X
cuesj-1103	61	2	u	u	X
cuesj-1103	61	3	y	y	PROPN
cuesj-1103	61	4	z	z	PROPN
cuesj-1103	61	5	y	y	PROPN
cuesj-1103	61	6	z	z	PROPN
cuesj-1103	61	7	,	,	PUNCT
cuesj-1103	61	8	,	,	PUNCT
cuesj-1103	61	9	,	,	PUNCT
cuesj-1103	61	10	,	,	PUNCT
cuesj-1103	61	11	u	u	PROPN
cuesj-1103	61	12	un	un	PROPN
cuesj-1103	61	13	n1	n1	PROPN
cuesj-1103	61	14	1	1	NUM
cuesj-1103	61	15	ddydz	ddydz	NOUN
cuesj-1103	61	16	by	by	ADP
cuesj-1103	61	17	using	use	VERB
cuesj-1103	61	18	theorem	theorem	NOUN
cuesj-1103	61	19	(	(	PUNCT
cuesj-1103	61	20	1	1	NUM
cuesj-1103	61	21	)	)	PUNCT
cuesj-1103	61	22	,	,	PUNCT
cuesj-1103	61	23	getting	get	VERB
cuesj-1103	61	24	(	(	PUNCT
cuesj-1103	61	25	)	)	PUNCT
cuesj-1103	61	26	(	(	PUNCT
cuesj-1103	61	27	)	)	PUNCT
cuesj-1103	61	28	1	1	NUM
cuesj-1103	61	29	1u	1u	NUM
cuesj-1103	61	30	e	e	NOUN
cuesj-1103	61	31	,	,	PUNCT
cuesj-1103	61	32	h	h	NOUN
cuesj-1103	61	33	e	e	NOUN
cuesj-1103	61	34	,	,	PUNCT
cuesj-1103	61	35	h	h	PROPN
cuesj-1103	61	36	(	(	PUNCT
cuesj-1103	61	37	2	2	NUM
cuesj-1103	61	38	)	)	PUNCT
cuesj-1103	61	39	n	n	CCONJ
cuesj-1103	61	40	n	n	PROPN
cuesj-1103	61	41	eu	eu	PROPN
cuesj-1103	61	42	π	π	PROPN
cuesj-1103	62	1	−	−	PROPN
cuesj-1103	62	2	−	−	PROPN
cuesj-1103	63	1	τ	τ	X
cuesj-1103	63	2	−	−	PROPN
cuesj-1103	63	3	≤	≤	NUM
cuesj-1103	63	4	h	h	NOUN
cuesj-1103	63	5	e	e	NOUN
cuesj-1103	63	6	h	h	NOUN
cuesj-1103	63	7	e	e	NOUN
cuesj-1103	63	8	1	1	NUM
cuesj-1103	63	9	1	1	NUM
cuesj-1103	63	10	a	a	DET
cuesj-1103	63	11	c	c	NOUN
cuesj-1103	63	12	a	a	DET
cuesj-1103	63	13	c	c	NOUN
cuesj-1103	64	1	d	d	X
cuesj-1103	64	2	dydz	dydz	NOUN
cuesj-1103	64	3	d	d	X
cuesj-1103	64	4	dydz	dydz	NOUN
cuesj-1103	64	5	(	(	PUNCT
cuesj-1103	64	6	2	2	NUM
cuesj-1103	64	7	)	)	PUNCT
cuesj-1103	64	8	(	(	PUNCT
cuesj-1103	64	9	2	2	X
cuesj-1103	64	10	)	)	PUNCT
cuesj-1103	64	11	n	n	CCONJ
cuesj-1103	64	12	n	n	NOUN
cuesj-1103	64	13	e	e	X
cuesj-1103	64	14	e	e	X
cuesj-1103	64	15	π	π	X
cuesj-1103	64	16	π−	π−	ADV
cuesj-1103	64	17	−	−	PROPN
cuesj-1103	64	18			NOUN
cuesj-1103	64	19	τ	τ	PROPN
cuesj-1103	64	20	τ	τ	X
cuesj-1103	65	1	≤	≤	X
cuesj-1103	65	2	λ	λ	X
cuesj-1103	65	3	=	=	SYM
cuesj-1103	65	4	λ	λ	ADJ
cuesj-1103	65	5			VERB
cuesj-1103	65	6			NOUN
cuesj-1103	65	7	∫∫	∫∫	PUNCT
cuesj-1103	66	1	∫∫	∫∫	PROPN
cuesj-1103	66	2	(	(	PUNCT
cuesj-1103	66	3	)	)	PUNCT
cuesj-1103	66	4	(	(	PUNCT
cuesj-1103	66	5	)	)	PUNCT
cuesj-1103	66	6	h	h	NOUN
cuesj-1103	66	7	e	e	NOUN
cuesj-1103	66	8	1	1	NUM
cuesj-1103	66	9	a	a	DET
cuesj-1103	66	10	c	c	NOUN
cuesj-1103	66	11	l(u	l(u	PROPN
cuesj-1103	66	12	e	e	PROPN
cuesj-1103	66	13	,	,	PUNCT
cuesj-1103	66	14	h	h	NOUN
cuesj-1103	66	15	)	)	PUNCT
cuesj-1103	66	16	(	(	PUNCT
cuesj-1103	66	17	e	e	NOUN
cuesj-1103	66	18	,	,	PUNCT
cuesj-1103	66	19	h	h	NOUN
cuesj-1103	66	20	)	)	PUNCT
cuesj-1103	67	1	d	d	NOUN
cuesj-1103	67	2	dydz	dydz	NOUN
cuesj-1103	67	3	(	(	PUNCT
cuesj-1103	67	4	2	2	NUM
cuesj-1103	67	5	)	)	PUNCT
cuesj-1103	67	6	n	n	CCONJ
cuesj-1103	67	7	n	n	NOUN
cuesj-1103	67	8	el	el	NOUN
cuesj-1103	67	9	u	u	PROPN
cuesj-1103	68	1	π	π	PROPN
cuesj-1103	68	2	−	−	PROPN
cuesj-1103	68	3	τ	τ	X
cuesj-1103	68	4	−	−	PROPN
cuesj-1103	68	5	≤	≤	NOUN
cuesj-1103	68	6	τ	τ	PUNCT
cuesj-1103	69	1	∫∫	∫∫	ADV
cuesj-1103	69	2	then	then	ADV
cuesj-1103	69	3	for	for	ADP
cuesj-1103	69	4	�	�	PROPN
cuesj-1103	69	5	n	n	SYM
cuesj-1103	69	6	�	�	PROPN
cuesj-1103	69	7	�	�	PROPN
cuesj-1103	69	8	,	,	PUNCT
cuesj-1103	69	9	we	we	PRON
cuesj-1103	69	10	get	get	VERB
cuesj-1103	69	11	h	h	NOUN
cuesj-1103	69	12	e	e	NOUN
cuesj-1103	69	13	1	1	NUM
cuesj-1103	69	14	a	a	DET
cuesj-1103	69	15	c	c	NOUN
cuesj-1103	70	1	d	d	X
cuesj-1103	70	2	dydz	dydz	NOUN
cuesj-1103	70	3	0	0	NUM
cuesj-1103	71	1	(	(	PUNCT
cuesj-1103	71	2	2	2	NUM
cuesj-1103	71	3	)	)	PUNCT
cuesj-1103	71	4	n	n	NOUN
cuesj-1103	72	1	e	e	NOUN
cuesj-1103	72	2	π	π	X
cuesj-1103	72	3	−	−	PROPN
cuesj-1103	73	1	λ	λ	X
cuesj-1103	73	2	τ	τ	PROPN
cuesj-1103	73	3	→∫∫	→∫∫	PROPN
cuesj-1103	73	4	,	,	PUNCT
cuesj-1103	73	5	therefore	therefore	ADV
cuesj-1103	73	6	l(u(e	l(u(e	ADJ
cuesj-1103	73	7	,	,	PUNCT
cuesj-1103	73	8	h	h	NOUN
cuesj-1103	73	9	)	)	PUNCT
cuesj-1103	73	10	)	)	PUNCT
cuesj-1103	73	11	–	–	PUNCT
cuesj-1103	74	1	l	l	PUNCT
cuesj-1103	74	2	u	u	NOUN
cuesj-1103	74	3	e	e	NOUN
cuesj-1103	74	4	h	h	NOUN
cuesj-1103	74	5	e	e	NOUN
cuesj-1103	74	6	h	h	NOUN
cuesj-1103	74	7	(	(	PUNCT
cuesj-1103	74	8	,	,	PUNCT
cuesj-1103	74	9	)	)	PUNCT
cuesj-1103	74	10	(	(	PUNCT
cuesj-1103	74	11	,	,	PUNCT
cuesj-1103	74	12	)	)	PUNCT
cuesj-1103	74	13	.	.	PUNCT
cuesj-1103	74	14	�	�	PROPN
cuesj-1103	74	15	�	�	PROPN
cuesj-1103	74	16	�	�	PROPN
cuesj-1103	74	17	�	�	PROPN
cuesj-1103	74	18	�	�	PROPN
cuesj-1103	74	19	�	�	PROPN
cuesj-1103	74	20	l	l	PROPN
cuesj-1103	74	21	un	un	PROPN
cuesj-1103	74	22	0	0	PROPN
cuesj-1103	74	23	note	note	NOUN
cuesj-1103	74	24	:	:	PUNCT
cuesj-1103	74	25	er	er	INTJ
cuesj-1103	74	26	is	be	AUX
cuesj-1103	74	27	the	the	DET
cuesj-1103	74	28	error	error	NOUN
cuesj-1103	74	29	and	and	CCONJ
cuesj-1103	74	30	a	a	DET
cuesj-1103	74	31	,	,	PUNCT
cuesj-1103	74	32	t	t	PROPN
cuesj-1103	74	33	,	,	PUNCT
cuesj-1103	74	34	n	n	CCONJ
cuesj-1103	74	35	,	,	PUNCT
cuesj-1103	74	36	e	e	NOUN
cuesj-1103	74	37	,	,	PUNCT
cuesj-1103	74	38	k1	k1	NOUN
cuesj-1103	74	39	are	be	AUX
cuesj-1103	74	40	constants	constant	NOUN
cuesj-1103	74	41	.	.	PUNCT
cuesj-1103	75	1	algorithm	algorithm	NOUN
cuesj-1103	75	2	steps	step	NOUN
cuesj-1103	75	3	of	of	ADP
cuesj-1103	75	4	the	the	DET
cuesj-1103	75	5	technique	technique	NOUN
cuesj-1103	75	6	.	.	PUNCT
cuesj-1103	76	1	input	input	NOUN
cuesj-1103	76	2	:	:	PUNCT
cuesj-1103	76	3	a	a	X
cuesj-1103	76	4	,	,	PUNCT
cuesj-1103	76	5	t	t	PROPN
cuesj-1103	76	6	,	,	PUNCT
cuesj-1103	76	7	n	n	CCONJ
cuesj-1103	76	8	,	,	PUNCT
cuesj-1103	76	9	e	e	NOUN
cuesj-1103	76	10	,	,	PUNCT
cuesj-1103	76	11	er	er	INTJ
cuesj-1103	76	12	,	,	PUNCT
cuesj-1103	76	13	k1	k1	PROPN
cuesj-1103	76	14	1	1	NUM
cuesj-1103	76	15	.	.	PUNCT
cuesj-1103	77	1	let	let	VERB
cuesj-1103	77	2	u	u	PRON
cuesj-1103	77	3	u	u	VERB
cuesj-1103	77	4	i	i	NOUN
cuesj-1103	77	5	n	n	VERB
cuesj-1103	78	1	i	i	NOUN
cuesj-1103	78	2	e	e	NOUN
cuesj-1103	78	3	h	h	NOUN
cuesj-1103	78	4	e	e	NOUN
cuesj-1103	78	5	h	h	NOUN
cuesj-1103	78	6	,	,	PUNCT
cuesj-1103	78	7	,	,	PUNCT
cuesj-1103	78	8	�	�	PROPN
cuesj-1103	78	9	�	�	PROPN
cuesj-1103	78	10	�	�	PROPN
cuesj-1103	78	11	�	�	PROPN
cuesj-1103	78	12	�	�	PROPN
cuesj-1103	78	13	�	�	PROPN
cuesj-1103	78	14	�	�	PROPN
cuesj-1103	78	15	0	0	NUM
cuesj-1103	78	16	be	be	AUX
cuesj-1103	78	17	the	the	DET
cuesj-1103	78	18	approximate	approximate	ADJ
cuesj-1103	78	19	solution	solution	NOUN
cuesj-1103	78	20	for	for	ADP
cuesj-1103	78	21	tdvie-2nd	tdvie-2nd	PROPN
cuesj-1103	78	22	.	.	PUNCT
cuesj-1103	79	1	hassan	hassan	PROPN
cuesj-1103	79	2	and	and	CCONJ
cuesj-1103	79	3	hussein	hussein	PROPN
cuesj-1103	79	4	:	:	PUNCT
cuesj-1103	79	5	modification	modification	NOUN
cuesj-1103	79	6	of	of	ADP
cuesj-1103	79	7	adomian	adomian	ADJ
cuesj-1103	79	8	decomposition	decomposition	NOUN
cuesj-1103	79	9	method	method	NOUN
cuesj-1103	79	10	to	to	PART
cuesj-1103	79	11	solve	solve	VERB
cuesj-1103	79	12	two	two	NUM
cuesj-1103	79	13	dimensions	dimension	NOUN
cuesj-1103	79	14	43	43	NUM
cuesj-1103	79	15	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1103	79	16	cuesj	cuesj	NOUN
cuesj-1103	79	17	2024	2024	NUM
cuesj-1103	79	18	,	,	PUNCT
cuesj-1103	79	19	8	8	NUM
cuesj-1103	79	20	(	(	PUNCT
cuesj-1103	79	21	1	1	NUM
cuesj-1103	79	22	):	):	PUNCT
cuesj-1103	79	23	41	41	NUM
cuesj-1103	79	24	-	-	SYM
cuesj-1103	79	25	45	45	NUM
cuesj-1103	79	26	2	2	NUM
cuesj-1103	79	27	.	.	PUNCT
cuesj-1103	80	1	put	put	VERB
cuesj-1103	80	2	u0	u0	ADJ
cuesj-1103	80	3	e	e	PROPN
cuesj-1103	80	4	h	h	NOUN
cuesj-1103	80	5	w	w	PROPN
cuesj-1103	80	6	e	e	PROPN
cuesj-1103	80	7	h	h	NOUN
cuesj-1103	80	8	,	,	PUNCT
cuesj-1103	80	9	(	(	PUNCT
cuesj-1103	80	10	,	,	PUNCT
cuesj-1103	80	11	)	)	PUNCT
cuesj-1103	80	12	�	�	PROPN
cuesj-1103	80	13	�	�	PROPN
cuesj-1103	80	14	�	�	PROPN
cuesj-1103	80	15	for	for	ADP
cuesj-1103	80	16	i	i	PRON
cuesj-1103	80	17	=	=	NOUN
cuesj-1103	80	18	1	1	NUM
cuesj-1103	80	19	to	to	ADP
cuesj-1103	80	20	n	n	PRON
cuesj-1103	80	21	3	3	NUM
cuesj-1103	80	22	.	.	PUNCT
cuesj-1103	81	1	in	in	ADP
cuesj-1103	81	2	equation	equation	NOUN
cuesj-1103	81	3	(	(	PUNCT
cuesj-1103	81	4	5	5	X
cuesj-1103	81	5	)	)	PUNCT
cuesj-1103	81	6	calculate	calculate	NOUN
cuesj-1103	81	7	ui	ui	NOUN
cuesj-1103	81	8	(	(	PUNCT
cuesj-1103	81	9	e	e	NOUN
cuesj-1103	81	10	,	,	PUNCT
cuesj-1103	81	11	h	h	NOUN
cuesj-1103	81	12	)	)	PUNCT
cuesj-1103	81	13	.	.	PUNCT
cuesj-1103	82	1	4	4	X
cuesj-1103	82	2	.	.	X
cuesj-1103	82	3	absolute	absolute	ADJ
cuesj-1103	82	4	error	error	NOUN
cuesj-1103	82	5	calculating	calculate	VERB
cuesj-1103	82	6	by	by	ADP
cuesj-1103	82	7	r	r	NOUN
cuesj-1103	82	8	u	u	NOUN
cuesj-1103	82	9	e	e	NOUN
cuesj-1103	82	10	h	h	NOUN
cuesj-1103	82	11	u	u	NOUN
cuesj-1103	82	12	e	e	NOUN
cuesj-1103	83	1	hn	hn	INTJ
cuesj-1103	84	1	i	i	PRON
cuesj-1103	84	2	i	i	PROPN
cuesj-1103	84	3	n	n	CCONJ
cuesj-1103	84	4	�	�	PROPN
cuesj-1103	84	5	�	�	PROPN
cuesj-1103	84	6	�	�	PROPN
cuesj-1103	84	7	�	�	PROPN
cuesj-1103	84	8	(	(	PUNCT
cuesj-1103	84	9	,	,	PUNCT
cuesj-1103	84	10	)	)	PUNCT
cuesj-1103	84	11	(	(	PUNCT
cuesj-1103	84	12	,	,	PUNCT
cuesj-1103	84	13	)	)	PUNCT
cuesj-1103	84	14	0	0	PUNCT
cuesj-1103	84	15	.	.	PUNCT
cuesj-1103	85	1	if	if	SCONJ
cuesj-1103	85	2	rn	rn	PROPN
cuesj-1103	85	3	≤	≤	X
cuesj-1103	85	4	er	er	INTJ
cuesj-1103	85	5	go	go	VERB
cuesj-1103	85	6	to	to	ADP
cuesj-1103	85	7	output	output	NOUN
cuesj-1103	85	8	end	end	NOUN
cuesj-1103	85	9	if	if	SCONJ
cuesj-1103	85	10	end	end	NOUN
cuesj-1103	85	11	for	for	ADP
cuesj-1103	85	12	5	5	NUM
cuesj-1103	85	13	.	.	PUNCT
cuesj-1103	86	1	continues	continue	VERB
cuesj-1103	86	2	in	in	ADP
cuesj-1103	86	3	this	this	DET
cuesj-1103	86	4	way	way	NOUN
cuesj-1103	86	5	,	,	PUNCT
cuesj-1103	86	6	till	till	SCONJ
cuesj-1103	86	7	obtaining	obtain	VERB
cuesj-1103	86	8	the	the	DET
cuesj-1103	86	9	numerical	numerical	ADJ
cuesj-1103	86	10	solution	solution	NOUN
cuesj-1103	86	11	for	for	ADP
cuesj-1103	86	12	tdvie-2nd	tdvie-2nd	PROPN
cuesj-1103	86	13	.	.	PUNCT
cuesj-1103	87	1	output	output	PROPN
cuesj-1103	87	2	:	:	PUNCT
cuesj-1103	87	3	numerical	numerical	ADJ
cuesj-1103	87	4	results	result	NOUN
cuesj-1103	87	5	and	and	CCONJ
cuesj-1103	87	6	rn	rn	PROPN
cuesj-1103	87	7	.	.	PROPN
cuesj-1103	87	8	theorem	theorem	VERB
cuesj-1103	87	9	3	3	NUM
cuesj-1103	87	10	:	:	PUNCT
cuesj-1103	87	11	the	the	DET
cuesj-1103	87	12	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	87	13	satisfies	satisfy	VERB
cuesj-1103	87	14	these	these	DET
cuesj-1103	87	15	conditions	condition	NOUN
cuesj-1103	87	16	[	[	X
cuesj-1103	87	17	13	13	NUM
cuesj-1103	87	18	]	]	SYM
cuesj-1103	87	19	.	.	PUNCT
cuesj-1103	88	1	1	1	X
cuesj-1103	88	2	.	.	X
cuesj-1103	88	3	g(e	g(e	PROPN
cuesj-1103	88	4	,	,	PUNCT
cuesj-1103	88	5	h	h	NOUN
cuesj-1103	88	6	,	,	PUNCT
cuesj-1103	88	7	y	y	PROPN
cuesj-1103	88	8	,	,	PUNCT
cuesj-1103	88	9	z	z	NOUN
cuesj-1103	88	10	)	)	PUNCT
cuesj-1103	88	11	is	be	AUX
cuesj-1103	88	12	real	real	ADJ
cuesj-1103	88	13	and	and	CCONJ
cuesj-1103	88	14	continuous	continuous	ADJ
cuesj-1103	88	15	function	function	NOUN
cuesj-1103	88	16	,	,	PUNCT
cuesj-1103	88	17	and	and	CCONJ
cuesj-1103	88	18	|g(e	|g(e	NOUN
cuesj-1103	88	19	,	,	PUNCT
cuesj-1103	88	20	h	h	NOUN
cuesj-1103	88	21	,	,	PUNCT
cuesj-1103	88	22	y	y	PROPN
cuesj-1103	88	23	,	,	PUNCT
cuesj-1103	88	24	z)|	z)|	ADJ
cuesj-1103	88	25	≤	≤	NUM
cuesj-1103	88	26	m	m	VERB
cuesj-1103	88	27	in	in	ADP
cuesj-1103	88	28	1{(e	1{(e	NUM
cuesj-1103	88	29	,	,	PUNCT
cuesj-1103	88	30	h	h	NOUN
cuesj-1103	88	31	,	,	PUNCT
cuesj-1103	88	32	y	y	PROPN
cuesj-1103	88	33	,	,	PUNCT
cuesj-1103	88	34	z	z	NOUN
cuesj-1103	88	35	)	)	PUNCT
cuesj-1103	88	36	:	:	PUNCT
cuesj-1103	88	37	a	a	DET
cuesj-1103	88	38	y	y	PROPN
cuesj-1103	88	39	e	e	PROPN
cuesj-1103	88	40	b	b	PROPN
cuesj-1103	88	41	,	,	PUNCT
cuesj-1103	88	42	c	c	PROPN
cuesj-1103	88	43	z	z	NOUN
cuesj-1103	88	44	h	h	NOUN
cuesj-1103	88	45	c	c	NOUN
cuesj-1103	88	46	}	}	PUNCT
cuesj-1103	88	47	=	=	SYM
cuesj-1103	88	48	≤	≤	NUM
cuesj-1103	88	49	≤	≤	NUM
cuesj-1103	88	50	≤	≤	NOUN
cuesj-1103	88	51	≤	≤	NOUN
cuesj-1103	88	52	≤	≤	NUM
cuesj-1103	88	53	≤p	≤p	NOUN
cuesj-1103	88	54	where	where	SCONJ
cuesj-1103	88	55	g(e	g(e	PROPN
cuesj-1103	88	56	,	,	PUNCT
cuesj-1103	88	57	h	h	NOUN
cuesj-1103	88	58	,	,	PUNCT
cuesj-1103	88	59	y	y	PROPN
cuesj-1103	88	60	,	,	PUNCT
cuesj-1103	88	61	z	z	NOUN
cuesj-1103	88	62	)	)	PUNCT
cuesj-1103	88	63	≠	≠	PROPN
cuesj-1103	88	64	0	0	NUM
cuesj-1103	88	65	2	2	NUM
cuesj-1103	88	66	.	.	PUNCT
cuesj-1103	88	67	w(e	w(e	NOUN
cuesj-1103	88	68	,	,	PUNCT
cuesj-1103	88	69	h	h	NOUN
cuesj-1103	88	70	)	)	PUNCT
cuesj-1103	88	71	is	be	AUX
cuesj-1103	88	72	real	real	ADJ
cuesj-1103	88	73	and	and	CCONJ
cuesj-1103	88	74	continuous	continuous	ADJ
cuesj-1103	88	75	in	in	ADP
cuesj-1103	88	76	the	the	DET
cuesj-1103	88	77	region	region	NOUN
cuesj-1103	88	78	1{(e	1{(e	NOUN
cuesj-1103	88	79	,	,	PUNCT
cuesj-1103	88	80	h	h	NOUN
cuesj-1103	88	81	)	)	PUNCT
cuesj-1103	88	82	:	:	PUNCT
cuesj-1103	88	83	a	a	DET
cuesj-1103	88	84	h	h	NOUN
cuesj-1103	88	85	b	b	NOUN
cuesj-1103	88	86	,	,	PUNCT
cuesj-1103	88	87	c	c	NOUN
cuesj-1103	88	88	e	e	X
cuesj-1103	88	89	c	c	NOUN
cuesj-1103	88	90	}	}	PUNCT
cuesj-1103	88	91	=	=	SYM
cuesj-1103	88	92	≤	≤	NUM
cuesj-1103	88	93	≤	≤	NUM
cuesj-1103	88	94	≤	≤	NUM
cuesj-1103	88	95	≤s	≤s	NOUN
cuesj-1103	88	96	,	,	PUNCT
cuesj-1103	88	97	|w(e	|w(e	PROPN
cuesj-1103	88	98	,	,	PUNCT
cuesj-1103	88	99	h)|	h)|	PROPN
cuesj-1103	88	100	≤	≤	NUM
cuesj-1103	88	101	m	m	VERB
cuesj-1103	88	102	in	in	ADP
cuesj-1103	88	103	s	s	PRON
cuesj-1103	88	104	and	and	CCONJ
cuesj-1103	88	105	w	w	PROPN
cuesj-1103	88	106	(	(	PUNCT
cuesj-1103	88	107	e	e	NOUN
cuesj-1103	88	108	,	,	PUNCT
cuesj-1103	88	109	h	h	NOUN
cuesj-1103	88	110	)	)	PUNCT
cuesj-1103	88	111	≠	≠	PROPN
cuesj-1103	88	112	0	0	NUM
cuesj-1103	88	113	.	.	PUNCT
cuesj-1103	89	1	then	then	ADV
cuesj-1103	89	2	it	it	PRON
cuesj-1103	89	3	has	have	VERB
cuesj-1103	89	4	one	one	NUM
cuesj-1103	89	5	and	and	CCONJ
cuesj-1103	89	6	only	only	ADV
cuesj-1103	89	7	one	one	NUM
cuesj-1103	89	8	continuous	continuous	ADJ
cuesj-1103	89	9	solution	solution	NOUN
cuesj-1103	89	10	u	u	NOUN
cuesj-1103	89	11	(	(	PUNCT
cuesj-1103	89	12	e	e	NOUN
cuesj-1103	89	13	,	,	PUNCT
cuesj-1103	89	14	h	h	NOUN
cuesj-1103	89	15	)	)	PUNCT
cuesj-1103	89	16	in	in	ADP
cuesj-1103	89	17	.s	.s	NOUN
cuesj-1103	89	18	theorem	theorem	VERB
cuesj-1103	89	19	4	4	NUM
cuesj-1103	89	20	:	:	PUNCT
cuesj-1103	89	21	let	let	VERB
cuesj-1103	89	22	u	u	PRON
cuesj-1103	89	23	(	(	PUNCT
cuesj-1103	89	24	x	x	PROPN
cuesj-1103	89	25	,	,	PUNCT
cuesj-1103	89	26	t	t	PROPN
cuesj-1103	89	27	)	)	PUNCT
cuesj-1103	89	28	be	be	VERB
cuesj-1103	89	29	a	a	DET
cuesj-1103	89	30	function	function	NOUN
cuesj-1103	89	31	defined	define	VERB
cuesj-1103	89	32	over	over	ADP
cuesj-1103	89	33	{	{	PUNCT
cuesj-1103	89	34	(	(	PUNCT
cuesj-1103	89	35	e	e	NOUN
cuesj-1103	89	36	,	,	PUNCT
cuesj-1103	89	37	h	h	NOUN
cuesj-1103	89	38	)	)	PUNCT
cuesj-1103	89	39	:	:	PUNCT
cuesj-1103	89	40	a	a	DET
cuesj-1103	89	41	h	h	NOUN
cuesj-1103	89	42	,	,	PUNCT
cuesj-1103	89	43	a	a	DET
cuesj-1103	89	44	e	e	NOUN
cuesj-1103	89	45	t}b=	t}b=	PROPN
cuesj-1103	89	46	≤	≤	ADJ
cuesj-1103	89	47	≤	≤	NOUN
cuesj-1103	89	48	≤	≤	NUM
cuesj-1103	89	49	≤s	≤s	NOUN
cuesj-1103	89	50	,	,	PUNCT
cuesj-1103	89	51	g	g	PROPN
cuesj-1103	89	52	(	(	PUNCT
cuesj-1103	89	53	e	e	NOUN
cuesj-1103	89	54	,	,	PUNCT
cuesj-1103	89	55	h	h	NOUN
cuesj-1103	89	56	,	,	PUNCT
cuesj-1103	89	57	y	y	PROPN
cuesj-1103	89	58	,	,	PUNCT
cuesj-1103	89	59	z	z	NOUN
cuesj-1103	89	60	)	)	PUNCT
cuesj-1103	89	61	be	be	AUX
cuesj-1103	89	62	a	a	DET
cuesj-1103	89	63	continuous	continuous	ADJ
cuesj-1103	89	64	function	function	NOUN
cuesj-1103	89	65	over	over	ADP
cuesj-1103	89	66	the	the	DET
cuesj-1103	89	67	region	region	NOUN
cuesj-1103	89	68	1{(e	1{(e	NOUN
cuesj-1103	89	69	,	,	PUNCT
cuesj-1103	89	70	h	h	NOUN
cuesj-1103	89	71	,	,	PUNCT
cuesj-1103	89	72	y	y	PROPN
cuesj-1103	89	73	,	,	PUNCT
cuesj-1103	89	74	z	z	NOUN
cuesj-1103	89	75	)	)	PUNCT
cuesj-1103	89	76	:	:	PUNCT
cuesj-1103	89	77	a	a	DET
cuesj-1103	89	78	y	y	PROPN
cuesj-1103	89	79	e	e	PROPN
cuesj-1103	89	80	t	t	PROPN
cuesj-1103	89	81	,	,	PUNCT
cuesj-1103	89	82	c	c	PROPN
cuesj-1103	89	83	z	z	NOUN
cuesj-1103	89	84	h	h	NOUN
cuesj-1103	90	1	c	c	NOUN
cuesj-1103	90	2	}	}	PUNCT
cuesj-1103	90	3	=	=	SYM
cuesj-1103	90	4	≤	≤	NUM
cuesj-1103	90	5	≤	≤	NUM
cuesj-1103	90	6	≤	≤	NOUN
cuesj-1103	90	7	≤	≤	NOUN
cuesj-1103	90	8	≤	≤	NUM
cuesj-1103	90	9	≤p	≤p	NOUN
cuesj-1103	90	10	where	where	SCONJ
cuesj-1103	90	11	|g(e	|g(e	PROPN
cuesj-1103	90	12	,	,	PUNCT
cuesj-1103	90	13	h	h	NOUN
cuesj-1103	90	14	,	,	PUNCT
cuesj-1103	90	15	y	y	PROPN
cuesj-1103	90	16	,	,	PUNCT
cuesj-1103	90	17	z	z	NOUN
cuesj-1103	90	18	)	)	PUNCT
cuesj-1103	90	19	≤	≤	NOUN
cuesj-1103	90	20	m|	m|	NOUN
cuesj-1103	90	21	,	,	PUNCT
cuesj-1103	90	22	m	m	VERB
cuesj-1103	90	23	is	be	AUX
cuesj-1103	90	24	positive	positive	ADJ
cuesj-1103	90	25	constant	constant	ADJ
cuesj-1103	90	26	,	,	PUNCT
cuesj-1103	90	27	w(e	w(e	NOUN
cuesj-1103	90	28	,	,	PUNCT
cuesj-1103	90	29	h	h	NOUN
cuesj-1103	90	30	)	)	PUNCT
cuesj-1103	90	31	is	be	AUX
cuesj-1103	90	32	a	a	DET
cuesj-1103	90	33	continuous	continuous	ADJ
cuesj-1103	90	34	function	function	NOUN
cuesj-1103	90	35	on	on	ADP
cuesj-1103	90	36	s	s	PROPN
cuesj-1103	90	37	where|w(e	where|w(e	PROPN
cuesj-1103	90	38	,	,	PUNCT
cuesj-1103	90	39	h	h	NOUN
cuesj-1103	90	40	)	)	PUNCT
cuesj-1103	90	41	≤	≤	NOUN
cuesj-1103	90	42	m|	m|	NOUN
cuesj-1103	90	43	,	,	PUNCT
cuesj-1103	90	44	then	then	ADV
cuesj-1103	90	45	{	{	PUNCT
cuesj-1103	90	46	un	un	PROPN
cuesj-1103	90	47	(	(	PUNCT
cuesj-1103	90	48	e	e	PROPN
cuesj-1103	90	49	,	,	PUNCT
cuesj-1103	90	50	h	h	NOUN
cuesj-1103	90	51	)	)	PUNCT
cuesj-1103	90	52	}	}	PUNCT
cuesj-1103	90	53	given	give	VERB
cuesj-1103	90	54	as	as	ADP
cuesj-1103	90	55	(	(	PUNCT
cuesj-1103	90	56	)	)	PUNCT
cuesj-1103	90	57	(	(	PUNCT
cuesj-1103	90	58	)	)	PUNCT
cuesj-1103	90	59	h	h	NOUN
cuesj-1103	90	60	e	e	PROPN
cuesj-1103	90	61	n	n	CCONJ
cuesj-1103	90	62	n	n	PROPN
cuesj-1103	90	63	1	1	NUM
cuesj-1103	90	64	a	a	DET
cuesj-1103	90	65	c	c	NOUN
cuesj-1103	90	66	u	u	NOUN
cuesj-1103	90	67	(	(	PUNCT
cuesj-1103	90	68	e	e	NOUN
cuesj-1103	90	69	,	,	PUNCT
cuesj-1103	90	70	h	h	NOUN
cuesj-1103	90	71	)	)	PUNCT
cuesj-1103	90	72	g	g	NOUN
cuesj-1103	90	73	e	e	PROPN
cuesj-1103	90	74	,	,	PUNCT
cuesj-1103	90	75	h	h	NOUN
cuesj-1103	90	76	,	,	PUNCT
cuesj-1103	90	77	y	y	PROPN
cuesj-1103	90	78	,	,	PUNCT
cuesj-1103	90	79	z	z	PROPN
cuesj-1103	90	80	u	u	NOUN
cuesj-1103	90	81	y	y	PROPN
cuesj-1103	90	82	,	,	PUNCT
cuesj-1103	90	83	z	z	PROPN
cuesj-1103	90	84	dydz	dydz	NOUN
cuesj-1103	90	85	,	,	PUNCT
cuesj-1103	90	86	−=	−=	ADP
cuesj-1103	90	87	τ∫∫	τ∫∫	PROPN
cuesj-1103	90	88	with	with	ADP
cuesj-1103	90	89	u0	u0	ADJ
cuesj-1103	90	90	(	(	PUNCT
cuesj-1103	90	91	e	e	NOUN
cuesj-1103	90	92	,	,	PUNCT
cuesj-1103	90	93	h	h	NOUN
cuesj-1103	90	94	)	)	PUNCT
cuesj-1103	90	95	=	=	SYM
cuesj-1103	90	96	w(e	w(e	NOUN
cuesj-1103	90	97	,	,	PUNCT
cuesj-1103	90	98	h	h	NOUN
cuesj-1103	90	99	)	)	PUNCT
cuesj-1103	90	100	is	be	AUX
cuesj-1103	90	101	uniformly	uniformly	ADV
cuesj-1103	90	102	convergent	convergent	ADJ
cuesj-1103	90	103	to	to	ADP
cuesj-1103	90	104	u(x	u(x	NOUN
cuesj-1103	90	105	,	,	PUNCT
cuesj-1103	90	106	t	t	NOUN
cuesj-1103	90	107	)	)	PUNCT
cuesj-1103	90	108	proof	proof	NOUN
cuesj-1103	90	109	:	:	PUNCT
cuesj-1103	90	110	since	since	SCONJ
cuesj-1103	90	111	u0	u0	ADJ
cuesj-1103	90	112	(	(	PUNCT
cuesj-1103	90	113	e	e	NOUN
cuesj-1103	90	114	,	,	PUNCT
cuesj-1103	90	115	h	h	NOUN
cuesj-1103	90	116	)	)	PUNCT
cuesj-1103	91	1	=	=	SYM
cuesj-1103	91	2	w	w	PROPN
cuesj-1103	91	3	(	(	PUNCT
cuesj-1103	91	4	e	e	NOUN
cuesj-1103	91	5	,	,	PUNCT
cuesj-1103	91	6	h	h	NOUN
cuesj-1103	91	7	)	)	PUNCT
cuesj-1103	91	8	,	,	PUNCT
cuesj-1103	91	9	then	then	ADV
cuesj-1103	91	10	|u0	|u0	PROPN
cuesj-1103	91	11	(	(	PUNCT
cuesj-1103	91	12	e	e	NOUN
cuesj-1103	91	13	,	,	PUNCT
cuesj-1103	91	14	h)|	h)|	PROPN
cuesj-1103	91	15	=	=	SYM
cuesj-1103	91	16	|w(e	|w(e	PROPN
cuesj-1103	91	17	,	,	PUNCT
cuesj-1103	91	18	h)|≤	h)|≤	NOUN
cuesj-1103	91	19	m	m	NOUN
cuesj-1103	91	20	,	,	PUNCT
cuesj-1103	91	21	and	and	CCONJ
cuesj-1103	91	22	(	(	PUNCT
cuesj-1103	91	23	)	)	PUNCT
cuesj-1103	91	24	(	(	PUNCT
cuesj-1103	91	25	)	)	PUNCT
cuesj-1103	91	26	(	(	PUNCT
cuesj-1103	91	27	)	)	PUNCT
cuesj-1103	91	28	h	h	NOUN
cuesj-1103	92	1	e	e	NOUN
cuesj-1103	92	2	1	1	NUM
cuesj-1103	92	3	0	0	NUM
cuesj-1103	92	4	a	a	DET
cuesj-1103	92	5	c	c	NOUN
cuesj-1103	92	6	u	u	NOUN
cuesj-1103	92	7	e	e	PROPN
cuesj-1103	92	8	,	,	PUNCT
cuesj-1103	92	9	h	h	NOUN
cuesj-1103	92	10	g	g	PROPN
cuesj-1103	92	11	e	e	PROPN
cuesj-1103	92	12	,	,	PUNCT
cuesj-1103	92	13	h	h	NOUN
cuesj-1103	92	14	,	,	PUNCT
cuesj-1103	92	15	y	y	PROPN
cuesj-1103	92	16	,	,	PUNCT
cuesj-1103	92	17	z	z	PROPN
cuesj-1103	92	18	u	u	NOUN
cuesj-1103	92	19	y	y	PROPN
cuesj-1103	92	20	,	,	PUNCT
cuesj-1103	92	21	z	z	NOUN
cuesj-1103	92	22	dydz	dydz	NOUN
cuesj-1103	92	23	=	=	PUNCT
cuesj-1103	92	24	τ∫∫	τ∫∫	PROPN
cuesj-1103	93	1	(	(	PUNCT
cuesj-1103	93	2	)	)	PUNCT
cuesj-1103	93	3	mm	mm	PROPN
cuesj-1103	93	4	h	h	NOUN
cuesj-1103	93	5	a)(e	a)(e	PROPN
cuesj-1103	93	6	c	c	PROPN
cuesj-1103	93	7	≤	≤	NUM
cuesj-1103	94	1	λ	λ	PROPN
cuesj-1103	94	2	−	−	PROPN
cuesj-1103	94	3	−	−	PROPN
cuesj-1103	95	1	also	also	ADV
cuesj-1103	95	2	,	,	PUNCT
cuesj-1103	95	3	(	(	PUNCT
cuesj-1103	95	4	)	)	PUNCT
cuesj-1103	95	5	(	(	PUNCT
cuesj-1103	95	6	)	)	PUNCT
cuesj-1103	95	7	h	h	NOUN
cuesj-1103	95	8	e	e	NOUN
cuesj-1103	95	9	2	2	NUM
cuesj-1103	95	10	1	1	NUM
cuesj-1103	95	11	a	a	DET
cuesj-1103	95	12	c	c	NOUN
cuesj-1103	95	13	u	u	NOUN
cuesj-1103	95	14	(	(	PUNCT
cuesj-1103	95	15	e	e	NOUN
cuesj-1103	95	16	,	,	PUNCT
cuesj-1103	95	17	h	h	NOUN
cuesj-1103	95	18	)	)	PUNCT
cuesj-1103	95	19	g	g	NOUN
cuesj-1103	95	20	e	e	PROPN
cuesj-1103	95	21	,	,	PUNCT
cuesj-1103	95	22	h	h	NOUN
cuesj-1103	95	23	,	,	PUNCT
cuesj-1103	95	24	y	y	PROPN
cuesj-1103	95	25	,	,	PUNCT
cuesj-1103	95	26	z	z	PROPN
cuesj-1103	95	27	u	u	NOUN
cuesj-1103	95	28	y	y	PROPN
cuesj-1103	95	29	,	,	PUNCT
cuesj-1103	95	30	z	z	NOUN
cuesj-1103	95	31	dydz	dydz	NOUN
cuesj-1103	95	32	=	=	PUNCT
cuesj-1103	95	33	τ∫∫	τ∫∫	PROPN
cuesj-1103	95	34	(	(	PUNCT
cuesj-1103	95	35	)	)	PUNCT
cuesj-1103	95	36	h	h	NOUN
cuesj-1103	96	1	e	e	PROPN
cuesj-1103	96	2	a	a	DET
cuesj-1103	96	3	c	c	PROPN
cuesj-1103	96	4	g	g	PROPN
cuesj-1103	96	5	e	e	PROPN
cuesj-1103	96	6	,	,	PUNCT
cuesj-1103	96	7	h	h	NOUN
cuesj-1103	96	8	,	,	PUNCT
cuesj-1103	96	9	y	y	PROPN
cuesj-1103	96	10	,	,	PUNCT
cuesj-1103	96	11	z	z	NOUN
cuesj-1103	96	12	mm(y	mm(y	NOUN
cuesj-1103	96	13	a)(z	a)(z	PUNCT
cuesj-1103	96	14	c)dydz	c)dydz	NOUN
cuesj-1103	96	15	≤	≤	NOUN
cuesj-1103	96	16	τ	τ	X
cuesj-1103	97	1	−	−	PROPN
cuesj-1103	97	2	−∫∫	−∫∫	PROPN
cuesj-1103	97	3	�	�	PROPN
cuesj-1103	97	4	�	�	PROPN
cuesj-1103	97	5	�	�	PROPN
cuesj-1103	97	6	�	�	PROPN
cuesj-1103	97	7	�	�	PROPN
cuesj-1103	97	8	�	�	PROPN
cuesj-1103	97	9	�	�	PROPN
cuesj-1103	97	10	�	�	PROPN
cuesj-1103	97	11	�	�	PROPN
cuesj-1103	97	12	�	�	PROPN
cuesj-1103	97	13	2	2	NUM
cuesj-1103	97	14	2	2	NUM
cuesj-1103	97	15	2	2	NUM
cuesj-1103	97	16	21	21	NUM
cuesj-1103	97	17	2	2	NUM
cuesj-1103	97	18	2	2	NUM
cuesj-1103	97	19	m	m	NOUN
cuesj-1103	97	20	*	*	PUNCT
cuesj-1103	97	21	e	e	NOUN
cuesj-1103	97	22	cm	cm	NUM
cuesj-1103	97	23	h	h	NOUN
cuesj-1103	97	24	a	a	X
cuesj-1103	97	25	(	(	PUNCT
cuesj-1103	97	26	)	)	PUNCT
cuesj-1103	97	27	(	(	PUNCT
cuesj-1103	97	28	)	)	PUNCT
cuesj-1103	97	29	and	and	CCONJ
cuesj-1103	97	30	(	(	PUNCT
cuesj-1103	97	31	)	)	PUNCT
cuesj-1103	97	32	(	(	PUNCT
cuesj-1103	97	33	)	)	PUNCT
cuesj-1103	97	34	(	(	PUNCT
cuesj-1103	97	35	)	)	PUNCT
cuesj-1103	97	36	h	h	NOUN
cuesj-1103	97	37	e	e	NOUN
cuesj-1103	97	38	3	3	NUM
cuesj-1103	97	39	2	2	NUM
cuesj-1103	97	40	a	a	DET
cuesj-1103	97	41	c	c	NOUN
cuesj-1103	97	42	h	h	NOUN
cuesj-1103	97	43	e	e	NOUN
cuesj-1103	97	44	2	2	NUM
cuesj-1103	97	45	2	2	NUM
cuesj-1103	97	46	a	a	DET
cuesj-1103	97	47	c	c	NOUN
cuesj-1103	97	48	u	u	NOUN
cuesj-1103	97	49	(	(	PUNCT
cuesj-1103	97	50	e	e	NOUN
cuesj-1103	97	51	,	,	PUNCT
cuesj-1103	97	52	h	h	NOUN
cuesj-1103	97	53	)	)	PUNCT
cuesj-1103	97	54	g	g	NOUN
cuesj-1103	97	55	e	e	PROPN
cuesj-1103	97	56	,	,	PUNCT
cuesj-1103	97	57	h	h	NOUN
cuesj-1103	97	58	,	,	PUNCT
cuesj-1103	97	59	y	y	PROPN
cuesj-1103	97	60	,	,	PUNCT
cuesj-1103	97	61	z	z	PROPN
cuesj-1103	97	62	u	u	NOUN
cuesj-1103	97	63	y	y	PROPN
cuesj-1103	97	64	,	,	PUNCT
cuesj-1103	97	65	z	z	PROPN
cuesj-1103	97	66	dydz	dydz	VERB
cuesj-1103	97	67	1	1	NUM
cuesj-1103	97	68	g	g	NOUN
cuesj-1103	97	69	e	e	PROPN
cuesj-1103	97	70	,	,	PUNCT
cuesj-1103	97	71	h	h	NOUN
cuesj-1103	97	72	,	,	PUNCT
cuesj-1103	97	73	y	y	PROPN
cuesj-1103	97	74	,	,	PUNCT
cuesj-1103	97	75	z	z	PROPN
cuesj-1103	97	76	(	(	PUNCT
cuesj-1103	97	77	)	)	PUNCT
cuesj-1103	97	78	(	(	PUNCT
cuesj-1103	97	79	z	z	NOUN
cuesj-1103	97	80	c	c	NOUN
cuesj-1103	97	81	)	)	PUNCT
cuesj-1103	97	82	)	)	PUNCT
cuesj-1103	97	83	dydz	dydz	NOUN
cuesj-1103	97	84	2	2	NUM
cuesj-1103	97	85	*	*	SYM
cuesj-1103	97	86	2	2	NUM
cuesj-1103	97	87	y	y	NOUN
cuesj-1103	97	88	a	a	PROPN
cuesj-1103	97	89	=	=	X
cuesj-1103	97	90	τ	τ	PROPN
cuesj-1103	97	91			NOUN
cuesj-1103	97	92	≤	≤	PUNCT
cuesj-1103	97	93	τ	τ	X
cuesj-1103	97	94	−	−	PUNCT
cuesj-1103	97	95	−	−	PROPN
cuesj-1103	97	96			VERB
cuesj-1103	97	97			PRON
cuesj-1103	97	98			PUNCT
cuesj-1103	98	1	∫∫	∫∫	ADV
cuesj-1103	98	2	∫∫	∫∫	ADV
cuesj-1103	98	3	3	3	NUM
cuesj-1103	98	4	3	3	NUM
cuesj-1103	98	5	3	3	NUM
cuesj-1103	98	6	3	3	NUM
cuesj-1103	98	7	2	2	NUM
cuesj-1103	98	8	2	2	NUM
cuesj-1103	98	9	1	1	NUM
cuesj-1103	98	10	m	m	VERB
cuesj-1103	98	11	(	(	PUNCT
cuesj-1103	98	12	)	)	PUNCT
cuesj-1103	98	13	(	(	PUNCT
cuesj-1103	98	14	e	e	NOUN
cuesj-1103	98	15	a	a	X
cuesj-1103	98	16	)	)	PUNCT
cuesj-1103	98	17	2	2	NUM
cuesj-1103	98	18	3	3	NUM
cuesj-1103	98	19	m	m	NOUN
cuesj-1103	98	20	h	h	NOUN
cuesj-1103	98	21	a	a	PROPN
cuesj-1103	98	22	≤	≤	PUNCT
cuesj-1103	99	1	τ	τ	X
cuesj-1103	99	2	−	−	PUNCT
cuesj-1103	100	1	−	−	PROPN
cuesj-1103	100	2			VERB
cuesj-1103	100	3			PRON
cuesj-1103	100	4			PUNCT
cuesj-1103	101	1	carrying	carry	VERB
cuesj-1103	101	2	in	in	ADP
cuesj-1103	101	3	a	a	DET
cuesj-1103	101	4	similar	similar	ADJ
cuesj-1103	101	5	manner	manner	NOUN
cuesj-1103	101	6	,	,	PUNCT
cuesj-1103	101	7	we	we	PRON
cuesj-1103	101	8	get	get	VERB
cuesj-1103	101	9	n	n	PRON
cuesj-1103	101	10	n	n	CCONJ
cuesj-1103	101	11	n	n	CCONJ
cuesj-1103	101	12	n	n	CCONJ
cuesj-1103	101	13	n	n	ADV
cuesj-1103	101	14	2	2	NUM
cuesj-1103	101	15	2	2	NUM
cuesj-1103	101	16	2	2	NUM
cuesj-1103	101	17	2	2	NUM
cuesj-1103	101	18	mu	mu	NOUN
cuesj-1103	101	19	(	(	PUNCT
cuesj-1103	101	20	e	e	NOUN
cuesj-1103	101	21	,	,	PUNCT
cuesj-1103	101	22	h	h	NOUN
cuesj-1103	101	23	)	)	PUNCT
cuesj-1103	101	24	m	m	VERB
cuesj-1103	101	25	(	(	PUNCT
cuesj-1103	101	26	h	h	NOUN
cuesj-1103	101	27	a	a	NOUN
cuesj-1103	101	28	)	)	PUNCT
cuesj-1103	101	29	(	(	PUNCT
cuesj-1103	101	30	e	e	NOUN
cuesj-1103	101	31	c	c	NOUN
cuesj-1103	101	32	)	)	PUNCT
cuesj-1103	101	33	]	]	PUNCT
cuesj-1103	101	34	2	2	NUM
cuesj-1103	101	35	3	3	NUM
cuesj-1103	101	36	4	4	NUM
cuesj-1103	101	37	n	n	PRON
cuesj-1103	101	38	≤	≤	NOUN
cuesj-1103	101	39	τ	τ	X
cuesj-1103	101	40	−	−	NOUN
cuesj-1103	101	41	−	−	PROPN
cuesj-1103	101	42	…	…	PUNCT
cuesj-1103	101	43	as	as	SCONJ
cuesj-1103	101	44	n	n	PROPN
cuesj-1103	101	45	�	�	PROPN
cuesj-1103	101	46	�	�	PROPN
cuesj-1103	101	47	we	we	PRON
cuesj-1103	101	48	have	have	VERB
cuesj-1103	101	49	(	(	PUNCT
cuesj-1103	101	50	)	)	PUNCT
cuesj-1103	101	51	(	(	PUNCT
cuesj-1103	101	52	)	)	PUNCT
cuesj-1103	101	53	k	k	X
cuesj-1103	101	54	k	k	PROPN
cuesj-1103	101	55	kk	kk	PROPN
cuesj-1103	101	56	1	1	NUM
cuesj-1103	101	57	22	22	NUM
cuesj-1103	101	58	2	2	NUM
cuesj-1103	101	59	2	2	NUM
cuesj-1103	101	60	2k	2k	NUM
cuesj-1103	101	61	mu	mu	NOUN
cuesj-1103	101	62	(	(	PUNCT
cuesj-1103	101	63	x	x	PROPN
cuesj-1103	101	64	,	,	PUNCT
cuesj-1103	101	65	t	t	PROPN
cuesj-1103	101	66	)	)	PUNCT
cuesj-1103	101	67	lim	lim	PROPN
cuesj-1103	101	68	m	m	PROPN
cuesj-1103	101	69	c	c	PROPN
cuesj-1103	101	70	a	a	DET
cuesj-1103	101	71	c	c	NOUN
cuesj-1103	101	72	c	c	NOUN
cuesj-1103	101	73	2	2	NUM
cuesj-1103	101	74	3	3	NUM
cuesj-1103	101	75	4	4	NUM
cuesj-1103	101	76	k∞	k∞	PROPN
cuesj-1103	101	77	∞→	∞→	ADV
cuesj-1103	101	78	≤	≤	PUNCT
cuesj-1103	101	79	τ	τ	X
cuesj-1103	101	80	−	−	NOUN
cuesj-1103	101	81	−	−	PROPN
cuesj-1103	101	82	…	…	PUNCT
cuesj-1103	101	83	by	by	ADP
cuesj-1103	101	84	using	use	VERB
cuesj-1103	101	85	the	the	DET
cuesj-1103	101	86	ratio	ratio	NOUN
cuesj-1103	101	87	test	test	NOUN
cuesj-1103	101	88	.	.	PUNCT
cuesj-1103	102	1	(	(	PUNCT
cuesj-1103	102	2	)	)	PUNCT
cuesj-1103	102	3	(	(	PUNCT
cuesj-1103	102	4	)	)	PUNCT
cuesj-1103	102	5	(	(	PUNCT
cuesj-1103	102	6	)	)	PUNCT
cuesj-1103	102	7	(	(	PUNCT
cuesj-1103	102	8	)	)	PUNCT
cuesj-1103	102	9	n	n	PRON
cuesj-1103	102	10	1	1	NUM
cuesj-1103	102	11	k	k	NOUN
cuesj-1103	102	12	n	n	CCONJ
cuesj-1103	102	13	k	k	PROPN
cuesj-1103	102	14	1	1	NUM
cuesj-1103	102	15	k	k	NOUN
cuesj-1103	102	16	1	1	NUM
cuesj-1103	102	17	k	k	NOUN
cuesj-1103	102	18	1k	1k	NUM
cuesj-1103	102	19	1	1	NUM
cuesj-1103	102	20	1	1	NUM
cuesj-1103	102	21	22	22	NUM
cuesj-1103	102	22	2	2	NUM
cuesj-1103	102	23	2	2	NUM
cuesj-1103	102	24	2	2	NUM
cuesj-1103	102	25	2	2	NUM
cuesj-1103	102	26	k	k	NOUN
cuesj-1103	102	27	k	k	PROPN
cuesj-1103	102	28	k	k	PROPN
cuesj-1103	102	29	kk	kk	PROPN
cuesj-1103	102	30	1	1	NUM
cuesj-1103	102	31	22	22	NUM
cuesj-1103	102	32	2	2	NUM
cuesj-1103	102	33	2	2	NUM
cuesj-1103	102	34	2	2	NUM
cuesj-1103	102	35	rlim	rlim	NOUN
cuesj-1103	102	36	r	r	NOUN
cuesj-1103	102	37	1	1	NUM
cuesj-1103	102	38	m	m	NOUN
cuesj-1103	102	39	c	c	NOUN
cuesj-1103	102	40	a	a	DET
cuesj-1103	102	41	c	c	NOUN
cuesj-1103	102	42	c	c	NOUN
cuesj-1103	102	43	.	.	PUNCT
cuesj-1103	103	1	2	2	NUM
cuesj-1103	103	2	3	3	NUM
cuesj-1103	103	3	4	4	NUM
cuesj-1103	103	4	k	k	NOUN
cuesj-1103	103	5	(	(	PUNCT
cuesj-1103	103	6	k	k	PROPN
cuesj-1103	103	7	1)lim	1)lim	NUM
cuesj-1103	103	8	1	1	NUM
cuesj-1103	103	9	m	m	NOUN
cuesj-1103	103	10	c	c	NOUN
cuesj-1103	103	11	a	a	DET
cuesj-1103	103	12	c	c	NOUN
cuesj-1103	103	13	c	c	NOUN
cuesj-1103	103	14	.	.	PUNCT
cuesj-1103	104	1	2	2	NUM
cuesj-1103	104	2	3	3	NUM
cuesj-1103	104	3	4	4	NUM
cuesj-1103	104	4	k	k	NOUN
cuesj-1103	104	5	∞	∞	NUM
cuesj-1103	104	6	∞	∞	PROPN
cuesj-1103	105	1	+	+	CCONJ
cuesj-1103	105	2	→	→	PUNCT
cuesj-1103	105	3	+	+	PUNCT
cuesj-1103	106	1	+	+	PUNCT
cuesj-1103	106	2	+	+	ADJ
cuesj-1103	106	3	+	+	X
cuesj-1103	106	4	→	→	SYM
cuesj-1103	106	5	τ	τ	X
cuesj-1103	106	6	−	−	NUM
cuesj-1103	106	7	−	−	PROPN
cuesj-1103	107	1	…	…	PUNCT
cuesj-1103	107	2	+	+	SYM
cuesj-1103	107	3	=	=	SYM
cuesj-1103	107	4	τ	τ	PROPN
cuesj-1103	107	5	−	−	NOUN
cuesj-1103	107	6	−	−	PROPN
cuesj-1103	107	7	…	…	PUNCT
cuesj-1103	107	8	(	(	PUNCT
cuesj-1103	107	9	)	)	SYM
cuesj-1103	107	10	1	1	NUM
cuesj-1103	107	11	2	2	NUM
cuesj-1103	107	12	2k	2k	NUM
cuesj-1103	107	13	m	m	VERB
cuesj-1103	107	14	(	(	PUNCT
cuesj-1103	107	15	c	c	X
cuesj-1103	107	16	a)(c	a)(c	PUNCT
cuesj-1103	107	17	c	c	NOUN
cuesj-1103	107	18	)	)	PUNCT
cuesj-1103	108	1	lim	lim	PROPN
cuesj-1103	108	2	0	0	PROPN
cuesj-1103	108	3	.	.	PUNCT
cuesj-1103	109	1	(	(	PUNCT
cuesj-1103	109	2	k	k	PROPN
cuesj-1103	109	3	1)∞→	1)∞→	NUM
cuesj-1103	109	4	λ	λ	NOUN
cuesj-1103	109	5	−	−	NOUN
cuesj-1103	109	6	−	−	NOUN
cuesj-1103	109	7	=	=	PUNCT
cuesj-1103	110	1	=	=	PUNCT
cuesj-1103	111	1	+	+	CCONJ
cuesj-1103	111	2	then	then	ADV
cuesj-1103	111	3	,	,	PUNCT
cuesj-1103	111	4	it	it	PRON
cuesj-1103	111	5	is	be	AUX
cuesj-1103	111	6	convergence	convergence	NOUN
cuesj-1103	111	7	∀	∀	X
cuesj-1103	111	8	of	of	ADP
cuesj-1103	111	9	τ	τ	PROPN
cuesj-1103	111	10	,	,	PUNCT
cuesj-1103	111	11	m	m	PROPN
cuesj-1103	111	12	,	,	PUNCT
cuesj-1103	111	13	m	m	PRON
cuesj-1103	111	14	,	,	PUNCT
cuesj-1103	111	15	(	(	PUNCT
cuesj-1103	111	16	c1	c1	PROPN
cuesj-1103	111	17	–	–	PUNCT
cuesj-1103	111	18	a	a	X
cuesj-1103	111	19	)	)	PUNCT
cuesj-1103	111	20	and	and	CCONJ
cuesj-1103	111	21	(	(	PUNCT
cuesj-1103	111	22	c2	c2	PROPN
cuesj-1103	111	23	–	–	PUNCT
cuesj-1103	111	24	c	c	NOUN
cuesj-1103	111	25	)	)	PUNCT
cuesj-1103	111	26	hence	hence	ADV
cuesj-1103	111	27	,	,	PUNCT
cuesj-1103	111	28	it	it	PRON
cuesj-1103	111	29	is	be	AUX
cuesj-1103	111	30	absolutely	absolutely	ADV
cuesj-1103	111	31	and	and	CCONJ
cuesj-1103	111	32	uniformly	uniformly	ADV
cuesj-1103	111	33	convergent	convergent	ADJ
cuesj-1103	111	34	�	�	PROPN
cuesj-1103	111	35	�	�	PROPN
cuesj-1103	111	36	(	(	PUNCT
cuesj-1103	111	37	,	,	PUNCT
cuesj-1103	111	38	)	)	PUNCT
cuesj-1103	111	39	e	e	NOUN
cuesj-1103	111	40	h	h	NOUN
cuesj-1103	111	41	s	s	PART
cuesj-1103	111	42	.	.	PUNCT
cuesj-1103	112	1	some	some	DET
cuesj-1103	112	2	examples	example	NOUN
cuesj-1103	112	3	in	in	ADP
cuesj-1103	112	4	integral	integral	ADJ
cuesj-1103	112	5	equation	equation	NOUN
cuesj-1103	112	6	problems	problem	NOUN
cuesj-1103	112	7	,	,	PUNCT
cuesj-1103	112	8	we	we	PRON
cuesj-1103	112	9	often	often	ADV
cuesj-1103	112	10	make	make	VERB
cuesj-1103	112	11	approximations	approximation	NOUN
cuesj-1103	112	12	of	of	ADP
cuesj-1103	112	13	the	the	DET
cuesj-1103	112	14	unknown	unknown	ADJ
cuesj-1103	112	15	function	function	NOUN
cuesj-1103	112	16	to	to	PART
cuesj-1103	112	17	facilitate	facilitate	VERB
cuesj-1103	112	18	numerical	numerical	ADJ
cuesj-1103	112	19	computations	computation	NOUN
cuesj-1103	112	20	and	and	CCONJ
cuesj-1103	112	21	obtain	obtain	VERB
cuesj-1103	112	22	solutions	solution	NOUN
cuesj-1103	112	23	.	.	PUNCT
cuesj-1103	113	1	this	this	DET
cuesj-1103	113	2	approach	approach	NOUN
cuesj-1103	113	3	also	also	ADV
cuesj-1103	113	4	helps	help	VERB
cuesj-1103	113	5	in	in	ADP
cuesj-1103	113	6	writing	write	VERB
cuesj-1103	113	7	programs	program	NOUN
cuesj-1103	113	8	for	for	ADP
cuesj-1103	113	9	implementing	implement	VERB
cuesj-1103	113	10	these	these	DET
cuesj-1103	113	11	techniques	technique	NOUN
cuesj-1103	113	12	on	on	ADP
cuesj-1103	113	13	a	a	DET
cuesj-1103	113	14	computer	computer	NOUN
cuesj-1103	113	15	.	.	PUNCT
cuesj-1103	114	1	discussing	discuss	VERB
cuesj-1103	114	2	the	the	DET
cuesj-1103	114	3	use	use	NOUN
cuesj-1103	114	4	of	of	ADP
cuesj-1103	114	5	adm	adm	NOUN
cuesj-1103	114	6	for	for	ADP
cuesj-1103	114	7	solving	solve	VERB
cuesj-1103	114	8	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	114	9	through	through	ADP
cuesj-1103	114	10	numerical	numerical	ADJ
cuesj-1103	114	11	examples	example	NOUN
cuesj-1103	114	12	.	.	PUNCT
cuesj-1103	115	1	example	example	NOUN
cuesj-1103	115	2	1	1	NUM
cuesj-1103	115	3	.	.	PUNCT
cuesj-1103	115	4	find	find	VERB
cuesj-1103	115	5	the	the	DET
cuesj-1103	115	6	approximate	approximate	ADJ
cuesj-1103	115	7	solution	solution	NOUN
cuesj-1103	115	8	of	of	ADP
cuesj-1103	115	9	tdvie-2nd	tdvie-2nd	PROPN
cuesj-1103	115	10	.	.	PUNCT
cuesj-1103	116	1	u	u	NOUN
cuesj-1103	116	2	e	e	NOUN
cuesj-1103	116	3	h	h	NOUN
cuesj-1103	116	4	eh	eh	INTJ
cuesj-1103	116	5	e	e	X
cuesj-1103	116	6	yz	yz	PROPN
cuesj-1103	116	7	u	u	PROPN
cuesj-1103	116	8	y	y	PROPN
cuesj-1103	116	9	z	z	PROPN
cuesj-1103	116	10	dydz	dydz	NOUN
cuesj-1103	116	11	h	h	NOUN
cuesj-1103	116	12	e	e	NOUN
cuesj-1103	116	13	,	,	PUNCT
cuesj-1103	116	14	)	)	PUNCT
cuesj-1103	116	15	,	,	PUNCT
cuesj-1103	116	16	.	.	PUNCT
cuesj-1103	117	1	�	�	PROPN
cuesj-1103	117	2	�	�	PROPN
cuesj-1103	117	3	�	�	PROPN
cuesj-1103	117	4	�	�	PROPN
cuesj-1103	117	5	�	�	PROPN
cuesj-1103	117	6	�	�	PROPN
cuesj-1103	117	7	�	�	PROPN
cuesj-1103	117	8	�	�	PROPN
cuesj-1103	117	9	�	�	PROPN
cuesj-1103	117	10	�	�	PROPN
cuesj-1103	117	11	�	�	PROPN
cuesj-1103	117	12	h	h	NOUN
cuesj-1103	117	13	e	e	NOUN
cuesj-1103	117	14	h	h	NOUN
cuesj-1103	117	15	5	5	NUM
cuesj-1103	117	16	4	4	NUM
cuesj-1103	117	17	0	0	NUM
cuesj-1103	117	18	0	0	NUM
cuesj-1103	117	19	2	2	NUM
cuesj-1103	117	20	9	9	NUM
cuesj-1103	117	21	where	where	SCONJ
cuesj-1103	117	22	the	the	DET
cuesj-1103	117	23	exact	exact	ADJ
cuesj-1103	117	24	solutions	solution	NOUN
cuesj-1103	117	25	u(e	u(e	NOUN
cuesj-1103	117	26	,	,	PUNCT
cuesj-1103	117	27	h	h	NOUN
cuesj-1103	117	28	)	)	PUNCT
cuesj-1103	117	29	=	=	PUNCT
cuesj-1103	117	30	eh	eh	INTJ
cuesj-1103	117	31	.	.	NOUN
cuesj-1103	117	32	solution	solution	NOUN
cuesj-1103	117	33	:	:	PUNCT
cuesj-1103	117	34	using	use	VERB
cuesj-1103	117	35	adm	adm	PROPN
cuesj-1103	117	36	,	,	PUNCT
cuesj-1103	117	37	put	put	VERB
cuesj-1103	117	38	u	u	PRON
cuesj-1103	117	39	eh	eh	INTJ
cuesj-1103	117	40	h	h	NOUN
cuesj-1103	117	41	e0	e0	PROPN
cuesj-1103	117	42	5	5	NUM
cuesj-1103	117	43	4	4	NUM
cuesj-1103	117	44	9	9	NUM
cuesj-1103	117	45	e	e	NOUN
cuesj-1103	117	46	h	h	NOUN
cuesj-1103	117	47	w	w	PROPN
cuesj-1103	117	48	e	e	PROPN
cuesj-1103	117	49	h	h	NOUN
cuesj-1103	117	50	,	,	PUNCT
cuesj-1103	117	51	,	,	PUNCT
cuesj-1103	117	52	�	�	PROPN
cuesj-1103	117	53	�	�	PROPN
cuesj-1103	117	54	�	�	PROPN
cuesj-1103	117	55	�	�	PROPN
cuesj-1103	117	56	�	�	PROPN
cuesj-1103	117	57	�	�	PROPN
cuesj-1103	117	58	�	�	PROPN
cuesj-1103	117	59	hence	hence	ADV
cuesj-1103	117	60	,	,	PUNCT
cuesj-1103	117	61	the	the	DET
cuesj-1103	117	62	first	first	ADJ
cuesj-1103	117	63	and	and	CCONJ
cuesj-1103	117	64	second	second	ADJ
cuesj-1103	117	65	approximations	approximation	NOUN
cuesj-1103	117	66	can	can	AUX
cuesj-1103	117	67	be	be	AUX
cuesj-1103	117	68	obtained	obtain	VERB
cuesj-1103	117	69	u	u	PROPN
cuesj-1103	117	70	h	h	NOUN
cuesj-1103	117	71	e	e	NOUN
cuesj-1103	117	72	h	h	NOUN
cuesj-1103	117	73	e1	e1	VERB
cuesj-1103	117	74	5	5	NUM
cuesj-1103	117	75	4	4	NUM
cuesj-1103	117	76	3	3	NUM
cuesj-1103	117	77	4	4	NUM
cuesj-1103	117	78	42	42	NUM
cuesj-1103	117	79	378	378	NUM
cuesj-1103	117	80	e	e	NOUN
cuesj-1103	117	81	h	h	NOUN
cuesj-1103	117	82	,	,	PUNCT
cuesj-1103	117	83	(	(	PUNCT
cuesj-1103	117	84	)	)	PUNCT
cuesj-1103	117	85	�	�	PROPN
cuesj-1103	117	86	�	�	PROPN
cuesj-1103	117	87	�	�	PROPN
cuesj-1103	117	88	�	�	PROPN
cuesj-1103	117	89	�	�	PROPN
cuesj-1103	117	90	hassan	hassan	PROPN
cuesj-1103	117	91	and	and	CCONJ
cuesj-1103	117	92	hussein	hussein	PROPN
cuesj-1103	117	93	:	:	PUNCT
cuesj-1103	118	1	modification	modification	NOUN
cuesj-1103	118	2	of	of	ADP
cuesj-1103	118	3	adomian	adomian	ADJ
cuesj-1103	118	4	decomposition	decomposition	NOUN
cuesj-1103	118	5	method	method	NOUN
cuesj-1103	118	6	to	to	PART
cuesj-1103	118	7	solve	solve	VERB
cuesj-1103	118	8	two	two	NUM
cuesj-1103	118	9	dimensions	dimension	NOUN
cuesj-1103	118	10	44	44	NUM
cuesj-1103	118	11	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1103	118	12	cuesj	cuesj	ADJ
cuesj-1103	118	13	2024	2024	NUM
cuesj-1103	118	14	,	,	PUNCT
cuesj-1103	118	15	8	8	NUM
cuesj-1103	118	16	(	(	PUNCT
cuesj-1103	118	17	1	1	NUM
cuesj-1103	118	18	):	):	PUNCT
cuesj-1103	118	19	41	41	NUM
cuesj-1103	118	20	-	-	SYM
cuesj-1103	118	21	45	45	NUM
cuesj-1103	118	22	u	u	NOUN
cuesj-1103	118	23	h	h	NOUN
cuesj-1103	118	24	e	e	PROPN
cuesj-1103	118	25	h	h	PROPN
cuesj-1103	118	26	e2	e2	PROPN
cuesj-1103	118	27	8	8	NUM
cuesj-1103	118	28	8	8	NUM
cuesj-1103	118	29	4	4	NUM
cuesj-1103	118	30	3	3	NUM
cuesj-1103	118	31	100	100	NUM
cuesj-1103	118	32	3762	3762	NUM
cuesj-1103	118	33	e	e	NOUN
cuesj-1103	118	34	h	h	NOUN
cuesj-1103	118	35	,	,	PUNCT
cuesj-1103	118	36	(	(	PUNCT
cuesj-1103	118	37	)	)	PUNCT
cuesj-1103	118	38	�	�	PROPN
cuesj-1103	118	39	�	�	PROPN
cuesj-1103	118	40	�	�	PROPN
cuesj-1103	118	41	�	�	PROPN
cuesj-1103	118	42	�	�	PROPN
cuesj-1103	118	43	note	note	VERB
cuesj-1103	118	44	that	that	SCONJ
cuesj-1103	118	45	after	after	ADP
cuesj-1103	118	46	two	two	NUM
cuesj-1103	118	47	iterations	iteration	NOUN
cuesj-1103	118	48	the	the	DET
cuesj-1103	118	49	absolute	absolute	ADJ
cuesj-1103	118	50	error	error	NOUN
cuesj-1103	118	51	is	be	AUX
cuesj-1103	118	52	zero	zero	NUM
cuesj-1103	118	53	.	.	PUNCT
cuesj-1103	119	1	e	e	NOUN
cuesj-1103	119	2	h	h	NOUN
cuesj-1103	119	3	,	,	PUNCT
cuesj-1103	119	4	(	(	PUNCT
cuesj-1103	119	5	.	.	PUNCT
cuesj-1103	119	6	,	,	PUNCT
cuesj-1103	119	7	.	.	PUNCT
cuesj-1103	119	8	)	)	PUNCT
cuesj-1103	119	9	�	�	PROPN
cuesj-1103	119	10	�	�	PROPN
cuesj-1103	119	11	�	�	PROPN
cuesj-1103	119	12	0	0	NUM
cuesj-1103	119	13	1	1	NUM
cuesj-1103	119	14	0	0	NUM
cuesj-1103	119	15	2	2	NUM
cuesj-1103	119	16	example	example	NOUN
cuesj-1103	119	17	2	2	NUM
cuesj-1103	119	18	.	.	PUNCT
cuesj-1103	119	19	find	find	VERB
cuesj-1103	119	20	the	the	DET
cuesj-1103	119	21	approximate	approximate	ADJ
cuesj-1103	119	22	solution	solution	NOUN
cuesj-1103	119	23	of	of	ADP
cuesj-1103	119	24	tdvie-2nd	tdvie-2nd	PROPN
cuesj-1103	119	25	.	.	PUNCT
cuesj-1103	120	1	u	u	NOUN
cuesj-1103	120	2	e	e	NOUN
cuesj-1103	120	3	h	h	NOUN
cuesj-1103	120	4	,	,	PUNCT
cuesj-1103	120	5	(	(	PUNCT
cuesj-1103	120	6	)	)	PUNCT
cuesj-1103	120	7	(	(	PUNCT
cuesj-1103	120	8	)	)	PUNCT
cuesj-1103	120	9	�	�	PROPN
cuesj-1103	120	10	�	�	PROPN
cuesj-1103	120	11	�	�	PROPN
cuesj-1103	120	12	�	�	PROPN
cuesj-1103	120	13	�	�	PROPN
cuesj-1103	120	14	�	�	PROPN
cuesj-1103	120	15	�	�	PROPN
cuesj-1103	120	16	�	�	PROPN
cuesj-1103	120	17	e	e	NOUN
cuesj-1103	120	18	h	h	NOUN
cuesj-1103	121	1	he	he	PRON
cuesj-1103	121	2	h	h	NOUN
cuesj-1103	122	1	e	e	NOUN
cuesj-1103	122	2	h	h	NOUN
cuesj-1103	122	3	he	he	PRON
cuesj-1103	122	4	e2	e2	VERB
cuesj-1103	122	5	2	2	NUM
cuesj-1103	123	1	2	2	NUM
cuesj-1103	123	2	2	2	NUM
cuesj-1103	123	3	2	2	NUM
cuesj-1103	123	4	3	3	NUM
cuesj-1103	123	5	3	3	NUM
cuesj-1103	123	6	12	12	NUM
cuesj-1103	123	7	(	(	PUNCT
cuesj-1103	123	8	)	)	PUNCT
cuesj-1103	123	9	(	(	PUNCT
cuesj-1103	123	10	)	)	PUNCT
cuesj-1103	123	11	h	h	NOUN
cuesj-1103	124	1	e	e	NOUN
cuesj-1103	124	2	0	0	NUM
cuesj-1103	124	3	0	0	NUM
cuesj-1103	124	4	e	e	NOUN
cuesj-1103	124	5	)	)	PUNCT
cuesj-1103	124	6	(	(	PUNCT
cuesj-1103	124	7	y	y	PROPN
cuesj-1103	124	8	z)u	z)u	PROPN
cuesj-1103	124	9	y	y	PROPN
cuesj-1103	124	10	,	,	PUNCT
cuesj-1103	124	11	z	z	PROPN
cuesj-1103	124	12	dydz	dydz	NOUN
cuesj-1103	124	13	.	.	PUNCT
cuesj-1103	125	1	h+	h+	X
cuesj-1103	126	1	+	+	PUNCT
cuesj-1103	127	1	+	+	ADJ
cuesj-1103	127	2	∫∫	∫∫	ADV
cuesj-1103	127	3	with	with	ADP
cuesj-1103	127	4	the	the	DET
cuesj-1103	127	5	exact	exact	ADJ
cuesj-1103	127	6	solution	solution	NOUN
cuesj-1103	127	7	u(e	u(e	PROPN
cuesj-1103	127	8	,	,	PUNCT
cuesj-1103	127	9	h	h	NOUN
cuesj-1103	127	10	)	)	PUNCT
cuesj-1103	127	11	=	=	SYM
cuesj-1103	127	12	e2	e2	PROPN
cuesj-1103	127	13	+	+	PROPN
cuesj-1103	127	14	h2	h2	NOUN
cuesj-1103	127	15	.	.	PUNCT
cuesj-1103	127	16	solution	solution	NOUN
cuesj-1103	127	17	:	:	PUNCT
cuesj-1103	127	18	using	use	VERB
cuesj-1103	127	19	adm	adm	PROPN
cuesj-1103	127	20	,	,	PUNCT
cuesj-1103	127	21	put	put	VERB
cuesj-1103	127	22	u	u	PRON
cuesj-1103	127	23	e	e	NOUN
cuesj-1103	127	24	h	h	NOUN
cuesj-1103	128	1	he	he	PRON
cuesj-1103	128	2	h	h	NOUN
cuesj-1103	129	1	e	e	NOUN
cuesj-1103	129	2	h	h	NOUN
cuesj-1103	129	3	he	he	PRON
cuesj-1103	129	4	e0	e0	PROPN
cuesj-1103	129	5	2	2	NUM
cuesj-1103	129	6	2	2	NUM
cuesj-1103	129	7	2	2	NUM
cuesj-1103	129	8	2	2	NUM
cuesj-1103	129	9	2	2	NUM
cuesj-1103	129	10	3	3	NUM
cuesj-1103	129	11	3	3	NUM
cuesj-1103	129	12	12	12	NUM
cuesj-1103	129	13	e	e	NOUN
cuesj-1103	129	14	h	h	NOUN
cuesj-1103	129	15	w	w	PROPN
cuesj-1103	129	16	e	e	PROPN
cuesj-1103	129	17	h	h	NOUN
cuesj-1103	129	18	,	,	PUNCT
cuesj-1103	129	19	,	,	PUNCT
cuesj-1103	129	20	(	(	PUNCT
cuesj-1103	129	21	)	)	PUNCT
cuesj-1103	129	22	(	(	PUNCT
cuesj-1103	129	23	)	)	PUNCT
cuesj-1103	129	24	�	�	PROPN
cuesj-1103	129	25	�	�	PROPN
cuesj-1103	129	26	�	�	PROPN
cuesj-1103	129	27	�	�	PROPN
cuesj-1103	129	28	�	�	PROPN
cuesj-1103	129	29	�	�	PROPN
cuesj-1103	129	30	�	�	PROPN
cuesj-1103	129	31	�	�	PROPN
cuesj-1103	129	32	�	�	PROPN
cuesj-1103	129	33	�	�	PROPN
cuesj-1103	129	34	�	�	PROPN
cuesj-1103	129	35	hence	hence	ADV
cuesj-1103	129	36	,	,	PUNCT
cuesj-1103	129	37	the	the	DET
cuesj-1103	129	38	first	first	ADJ
cuesj-1103	129	39	and	and	CCONJ
cuesj-1103	129	40	second	second	ADJ
cuesj-1103	129	41	approximations	approximation	NOUN
cuesj-1103	129	42	obtained	obtain	VERB
cuesj-1103	129	43	,	,	PUNCT
cuesj-1103	129	44	u	u	NOUN
cuesj-1103	129	45	he	he	PRON
cuesj-1103	129	46	t	t	X
cuesj-1103	129	47	e	e	NOUN
cuesj-1103	129	48	h	h	NOUN
cuesj-1103	129	49	e	e	NOUN
cuesj-1103	129	50	h	h	NOUN
cuesj-1103	129	51	e	e	PROPN
cuesj-1103	129	52	h	h	NOUN
cuesj-1103	129	53	e1	e1	VERB
cuesj-1103	129	54	2	2	NUM
cuesj-1103	129	55	5	5	NUM
cuesj-1103	129	56	4	4	NUM
cuesj-1103	129	57	2	2	NUM
cuesj-1103	129	58	3	3	NUM
cuesj-1103	129	59	3	3	NUM
cuesj-1103	129	60	270	270	NUM
cuesj-1103	129	61	290	290	NUM
cuesj-1103	130	1	277	277	NUM
cuesj-1103	130	2	15120	15120	NUM
cuesj-1103	130	3	e	e	NOUN
cuesj-1103	130	4	h	h	NOUN
cuesj-1103	130	5	,	,	PUNCT
cuesj-1103	130	6	(	(	PUNCT
cuesj-1103	130	7	)	)	PUNCT
cuesj-1103	130	8	(	(	PUNCT
cuesj-1103	130	9	)	)	PUNCT
cuesj-1103	130	10	�	�	PROPN
cuesj-1103	130	11	�	�	PROPN
cuesj-1103	130	12	�	�	PROPN
cuesj-1103	130	13	�	�	PROPN
cuesj-1103	130	14	�	�	PROPN
cuesj-1103	130	15	�	�	PROPN
cuesj-1103	130	16	�	�	PROPN
cuesj-1103	130	17	�	�	PROPN
cuesj-1103	130	18	�	�	PROPN
cuesj-1103	130	19	�	�	PROPN
cuesj-1103	130	20	�	�	PROPN
cuesj-1103	130	21	�	�	PROPN
cuesj-1103	130	22	290	290	NUM
cuesj-1103	130	23	3780	3780	NUM
cuesj-1103	130	24	270	270	NUM
cuesj-1103	130	25	1260	1260	NUM
cuesj-1103	130	26	3780	3780	NUM
cuesj-1103	130	27	15120	15120	NUM
cuesj-1103	130	28	2	2	NUM
cuesj-1103	130	29	4	4	NUM
cuesj-1103	130	30	2	2	NUM
cuesj-1103	130	31	5	5	NUM
cuesj-1103	130	32	2h	2h	NUM
cuesj-1103	130	33	e	e	NOUN
cuesj-1103	130	34	h	h	NOUN
cuesj-1103	130	35	he	he	PRON
cuesj-1103	130	36	he	he	PRON
cuesj-1103	130	37	e	e	X
cuesj-1103	130	38	)	)	PUNCT
cuesj-1103	130	39	u	u	NOUN
cuesj-1103	130	40	h	h	NOUN
cuesj-1103	130	41	e	e	NOUN
cuesj-1103	130	42	h	h	NOUN
cuesj-1103	130	43	e	e	NOUN
cuesj-1103	130	44	h	h	NOUN
cuesj-1103	130	45	e	e	NOUN
cuesj-1103	130	46	h	h	NOUN
cuesj-1103	130	47	e	e	NOUN
cuesj-1103	130	48	h	h	NOUN
cuesj-1103	130	49	e	e	PROPN
cuesj-1103	130	50	h	h	PROPN
cuesj-1103	130	51	e2	e2	PROPN
cuesj-1103	130	52	2	2	NUM
cuesj-1103	130	53	2	2	NUM
cuesj-1103	130	54	7	7	NUM
cuesj-1103	130	55	6	6	NUM
cuesj-1103	130	56	2	2	NUM
cuesj-1103	130	57	5	5	NUM
cuesj-1103	130	58	3	3	NUM
cuesj-1103	130	59	4	4	NUM
cuesj-1103	130	60	4	4	NUM
cuesj-1103	130	61	3240	3240	NUM
cuesj-1103	130	62	7760	7760	NUM
cuesj-1103	130	63	9853	9853	NUM
cuesj-1103	130	64	9527	9527	NUM
cuesj-1103	130	65	5443	5443	NUM
cuesj-1103	130	66	e	e	NOUN
cuesj-1103	130	67	h	h	NOUN
cuesj-1103	130	68	,	,	PUNCT
cuesj-1103	130	69	(	(	PUNCT
cuesj-1103	130	70	)	)	PUNCT
cuesj-1103	130	71	(	(	PUNCT
cuesj-1103	130	72	)	)	PUNCT
cuesj-1103	130	73	�	�	PROPN
cuesj-1103	130	74	�	�	PROPN
cuesj-1103	130	75	�	�	PROPN
cuesj-1103	130	76	�	�	PROPN
cuesj-1103	130	77	�	�	PROPN
cuesj-1103	130	78	�	�	PROPN
cuesj-1103	130	79	�	�	PROPN
cuesj-1103	130	80	�	�	PROPN
cuesj-1103	130	81	2200	2200	NUM
cuesj-1103	130	82	�	�	PROPN
cuesj-1103	130	83	�	�	PROPN
cuesj-1103	130	84	�	�	PROPN
cuesj-1103	130	85	�	�	PROPN
cuesj-1103	130	86	�	�	PROPN
cuesj-1103	130	87	(	(	PUNCT
cuesj-1103	130	88	)	)	PUNCT
cuesj-1103	130	89	97200	97200	NUM
cuesj-1103	130	90	9853	9853	NUM
cuesj-1103	130	91	104400	104400	NUM
cuesj-1103	130	92	7760	7760	NUM
cuesj-1103	130	93	99720	99720	NUM
cuesj-1103	130	94	5443200	5443200	NUM
cuesj-1103	130	95	4	4	NUM
cuesj-1103	130	96	3	3	NUM
cuesj-1103	130	97	5	5	NUM
cuesj-1103	130	98	3	3	NUM
cuesj-1103	130	99	2	2	NUM
cuesj-1103	130	100	6	6	NUM
cuesj-1103	130	101	3	3	NUM
cuesj-1103	130	102	2h	2h	NUM
cuesj-1103	130	103	h	h	NOUN
cuesj-1103	130	104	e	e	NOUN
cuesj-1103	130	105	h	h	NOUN
cuesj-1103	130	106	e	e	NOUN
cuesj-1103	130	107	h	h	NOUN
cuesj-1103	130	108	e	e	PROPN
cuesj-1103	130	109	t	t	PROPN
cuesj-1103	130	110	x	x	PROPN
cuesj-1103	130	111	modification	modification	NOUN
cuesj-1103	130	112	for	for	ADP
cuesj-1103	130	113	adm	adm	PROPN
cuesj-1103	130	114	to	to	PART
cuesj-1103	130	115	solve	solve	VERB
cuesj-1103	130	116	tdvie-2nd	tdvie-2nd	NOUN
cuesj-1103	130	117	in	in	ADP
cuesj-1103	130	118	the	the	DET
cuesj-1103	130	119	modification	modification	NOUN
cuesj-1103	130	120	,	,	PUNCT
cuesj-1103	130	121	adm	adm	PROPN
cuesj-1103	130	122	assumes	assume	VERB
cuesj-1103	130	123	that	that	SCONJ
cuesj-1103	130	124	w(e	w(e	NOUN
cuesj-1103	130	125	,	,	PUNCT
cuesj-1103	130	126	h	h	NOUN
cuesj-1103	130	127	)	)	PUNCT
cuesj-1103	130	128	written	write	VERB
cuesj-1103	130	129	as	as	ADP
cuesj-1103	130	130	w	w	PROPN
cuesj-1103	130	131	e	e	PROPN
cuesj-1103	130	132	h	h	NOUN
cuesj-1103	130	133	w	w	PROPN
cuesj-1103	130	134	e	e	PROPN
cuesj-1103	130	135	h	h	NOUN
cuesj-1103	130	136	w	w	PROPN
cuesj-1103	130	137	e	e	PROPN
cuesj-1103	130	138	h	h	NOUN
cuesj-1103	130	139	,	,	PUNCT
cuesj-1103	130	140	,	,	PUNCT
cuesj-1103	130	141	,	,	PUNCT
cuesj-1103	130	142	�	�	PROPN
cuesj-1103	130	143	�	�	PROPN
cuesj-1103	130	144	�	�	PROPN
cuesj-1103	130	145	�	�	PROPN
cuesj-1103	130	146	�	�	PROPN
cuesj-1103	130	147	�	�	PROPN
cuesj-1103	130	148	�	�	PROPN
cuesj-1103	130	149	�	�	PROPN
cuesj-1103	130	150	1	1	NUM
cuesj-1103	130	151	2	2	NUM
cuesj-1103	130	152	(	(	PUNCT
cuesj-1103	130	153	7	7	NUM
cuesj-1103	130	154	)	)	PUNCT
cuesj-1103	130	155	for	for	ADP
cuesj-1103	130	156	minimizing	minimize	VERB
cuesj-1103	130	157	the	the	DET
cuesj-1103	130	158	steps	step	NOUN
cuesj-1103	130	159	for	for	ADP
cuesj-1103	130	160	computations	computation	NOUN
cuesj-1103	130	161	,	,	PUNCT
cuesj-1103	130	162	therefore	therefore	ADV
cuesj-1103	130	163	fasting	fast	VERB
cuesj-1103	130	164	the	the	DET
cuesj-1103	130	165	convergence	convergence	NOUN
cuesj-1103	130	166	process	process	NOUN
cuesj-1103	130	167	.	.	PUNCT
cuesj-1103	131	1	put	put	VERB
cuesj-1103	131	2	u0	u0	ADJ
cuesj-1103	131	3	(	(	PUNCT
cuesj-1103	131	4	e	e	NOUN
cuesj-1103	131	5	,	,	PUNCT
cuesj-1103	131	6	h	h	NOUN
cuesj-1103	131	7	)	)	PUNCT
cuesj-1103	131	8	=	=	SYM
cuesj-1103	131	9	w1(e	w1(e	PROPN
cuesj-1103	131	10	,	,	PUNCT
cuesj-1103	131	11	h	h	NOUN
cuesj-1103	131	12	)	)	PUNCT
cuesj-1103	131	13	and	and	CCONJ
cuesj-1103	131	14	(	(	PUNCT
cuesj-1103	131	15	)	)	PUNCT
cuesj-1103	131	16	(	(	PUNCT
cuesj-1103	131	17	)	)	PUNCT
cuesj-1103	131	18	(	(	PUNCT
cuesj-1103	131	19	)	)	PUNCT
cuesj-1103	131	20	h	h	NOUN
cuesj-1103	132	1	1	1	NUM
cuesj-1103	132	2	0	0	NUM
cuesj-1103	132	3	2	2	NUM
cuesj-1103	132	4	0	0	NUM
cuesj-1103	132	5	e	e	NOUN
cuesj-1103	132	6	,	,	PUNCT
cuesj-1103	132	7	h	h	PROPN
cuesj-1103	132	8	w	w	PROPN
cuesj-1103	132	9	e	e	PROPN
cuesj-1103	132	10	,	,	PUNCT
cuesj-1103	132	11	h	h	NOUN
cuesj-1103	132	12	g	g	PROPN
cuesj-1103	132	13	e	e	PROPN
cuesj-1103	132	14	,	,	PUNCT
cuesj-1103	132	15	h	h	NOUN
cuesj-1103	132	16	,	,	PUNCT
cuesj-1103	132	17	y	y	PROPN
cuesj-1103	132	18	,	,	PUNCT
cuesj-1103	132	19	z	z	PROPN
cuesj-1103	132	20	(	(	PUNCT
cuesj-1103	132	21	y	y	PROPN
cuesj-1103	132	22	,	,	PUNCT
cuesj-1103	132	23	z)dydz	z)dydz	NUM
cuesj-1103	132	24	,	,	PUNCT
cuesj-1103	132	25	u	u	NOUN
cuesj-1103	132	26	u=	u=	PROPN
cuesj-1103	132	27	+	+	NUM
cuesj-1103	132	28	τ∫∫	τ∫∫	PROPN
cuesj-1103	132	29	ω	ω	NOUN
cuesj-1103	132	30	(	(	PUNCT
cuesj-1103	132	31	)	)	PUNCT
cuesj-1103	132	32	(	(	PUNCT
cuesj-1103	132	33	)	)	PUNCT
cuesj-1103	132	34	(	(	PUNCT
cuesj-1103	132	35	)	)	PUNCT
cuesj-1103	132	36	τ+	τ+	PUNCT
cuesj-1103	132	37	=	=	PUNCT
cuesj-1103	133	1	+	+	PUNCT
cuesj-1103	133	2	∫∫	∫∫	ADV
cuesj-1103	133	3	ω	ω	NUM
cuesj-1103	133	4	h	h	NOUN
cuesj-1103	133	5	1	1	NUM
cuesj-1103	133	6	2	2	NUM
cuesj-1103	133	7	0	0	NUM
cuesj-1103	133	8	    	    	SPACE
cuesj-1103	133	9	e	e	PROPN
cuesj-1103	133	10	,	,	PUNCT
cuesj-1103	133	11	h	h	PROPN
cuesj-1103	133	12	w	w	PROPN
cuesj-1103	133	13	e	e	PROPN
cuesj-1103	133	14	,	,	PUNCT
cuesj-1103	133	15	h	h	NOUN
cuesj-1103	133	16	  	  	SPACE
cuesj-1103	133	17	g	g	PROPN
cuesj-1103	133	18	e	e	PROPN
cuesj-1103	133	19	,	,	PUNCT
cuesj-1103	133	20	h	h	NOUN
cuesj-1103	133	21	,	,	PUNCT
cuesj-1103	133	22	y	y	PROPN
cuesj-1103	133	23	,	,	PUNCT
cuesj-1103	133	24	z	z	PROPN
cuesj-1103	133	25	(	(	PUNCT
cuesj-1103	133	26	y	y	PROPN
cuesj-1103	133	27	,	,	PUNCT
cuesj-1103	133	28	z)dydz	z)dydz	NUM
cuesj-1103	133	29	,	,	PUNCT
cuesj-1103	133	30	 	 	SPACE
cuesj-1103	133	31	k	k	PROPN
cuesj-1103	133	32	ku	ku	PROPN
cuesj-1103	133	33	u	u	PROPN
cuesj-1103	133	34	(	(	PUNCT
cuesj-1103	133	35	8)	8)	NUM
cuesj-1103	133	36	if	if	SCONJ
cuesj-1103	133	37	the	the	DET
cuesj-1103	133	38	opposite	opposite	ADJ
cuesj-1103	133	39	terms	term	NOUN
cuesj-1103	133	40	accurse	accurse	ADV
cuesj-1103	133	41	between	between	ADP
cuesj-1103	133	42	the	the	DET
cuesj-1103	133	43	functions	function	NOUN
cuesj-1103	133	44	u0	u0	ADJ
cuesj-1103	133	45	(	(	PUNCT
cuesj-1103	133	46	,	,	PUNCT
cuesj-1103	133	47	)	)	PUNCT
cuesj-1103	133	48	e	e	NOUN
cuesj-1103	133	49	h	h	NOUN
cuesj-1103	133	50	and	and	CCONJ
cuesj-1103	133	51	u1	u1	PROPN
cuesj-1103	133	52	(	(	PUNCT
cuesj-1103	133	53	,	,	PUNCT
cuesj-1103	133	54	)	)	PUNCT
cuesj-1103	133	55	e	e	NOUN
cuesj-1103	133	56	h	h	NOUN
cuesj-1103	133	57	,	,	PUNCT
cuesj-1103	133	58	deleting	delete	VERB
cuesj-1103	133	59	these	these	DET
cuesj-1103	133	60	terms	term	NOUN
cuesj-1103	133	61	between	between	ADP
cuesj-1103	133	62	these	these	DET
cuesj-1103	133	63	two	two	NUM
cuesj-1103	133	64	functions	function	NOUN
cuesj-1103	133	65	,	,	PUNCT
cuesj-1103	133	66	then	then	ADV
cuesj-1103	133	67	remain	remain	VERB
cuesj-1103	133	68	terms	term	NOUN
cuesj-1103	133	69	in	in	ADP
cuesj-1103	133	70	u	u	NOUN
cuesj-1103	133	71	e	e	NOUN
cuesj-1103	133	72	h	h	NOUN
cuesj-1103	133	73	0	0	PROPN
cuesj-1103	134	1	(	(	PUNCT
cuesj-1103	134	2	,	,	PUNCT
cuesj-1103	134	3	)	)	PUNCT
cuesj-1103	134	4	probably	probably	ADV
cuesj-1103	134	5	given	give	VERB
cuesj-1103	134	6	the	the	DET
cuesj-1103	134	7	actual	actual	ADJ
cuesj-1103	134	8	solution	solution	NOUN
cuesj-1103	134	9	for	for	ADP
cuesj-1103	134	10	the	the	DET
cuesj-1103	134	11	problem	problem	NOUN
cuesj-1103	134	12	.	.	PUNCT
cuesj-1103	135	1	example	example	NOUN
cuesj-1103	135	2	3	3	NUM
cuesj-1103	135	3	:	:	PUNCT
cuesj-1103	135	4	solve	solve	VERB
cuesj-1103	135	5	example	example	NOUN
cuesj-1103	135	6	1	1	NUM
cuesj-1103	135	7	by	by	ADP
cuesj-1103	135	8	modifying	modify	VERB
cuesj-1103	135	9	adm	adm	PROPN
cuesj-1103	135	10	.	.	PUNCT
cuesj-1103	136	1	solution	solution	NOUN
cuesj-1103	136	2	:	:	PUNCT
cuesj-1103	136	3	using	use	VERB
cuesj-1103	136	4	modified	modified	ADJ
cuesj-1103	136	5	adm	adm	PROPN
cuesj-1103	136	6	.	.	PUNCT
cuesj-1103	137	1	since	since	SCONJ
cuesj-1103	137	2	w	w	PROPN
cuesj-1103	137	3	e	e	PROPN
cuesj-1103	137	4	h	h	NOUN
cuesj-1103	137	5	eh	eh	INTJ
cuesj-1103	137	6	,	,	PUNCT
cuesj-1103	137	7	�	�	PROPN
cuesj-1103	137	8	�	�	PROPN
cuesj-1103	137	9	�	�	PROPN
cuesj-1103	137	10	�	�	PROPN
cuesj-1103	137	11	h	h	NOUN
cuesj-1103	137	12	e5	e5	PROPN
cuesj-1103	137	13	4	4	NUM
cuesj-1103	137	14	9	9	NUM
cuesj-1103	137	15	,	,	PUNCT
cuesj-1103	137	16	then	then	ADV
cuesj-1103	137	17	table	table	VERB
cuesj-1103	137	18	4	4	NUM
cuesj-1103	137	19	:	:	PUNCT
cuesj-1103	137	20	results	result	NOUN
cuesj-1103	137	21	of	of	ADP
cuesj-1103	137	22	example	example	NOUN
cuesj-1103	137	23	(	(	PUNCT
cuesj-1103	137	24	2	2	X
cuesj-1103	137	25	)	)	PUNCT
cuesj-1103	137	26	for	for	ADP
cuesj-1103	137	27	different	different	ADJ
cuesj-1103	137	28	iterations	iteration	NOUN
cuesj-1103	137	29	first	first	ADJ
cuesj-1103	137	30	iteration	iteration	NOUN
cuesj-1103	137	31	third	third	ADJ
cuesj-1103	137	32	iteration	iteration	NOUN
cuesj-1103	137	33	fifth	fifth	ADJ
cuesj-1103	137	34	iteration	iteration	NOUN
cuesj-1103	137	35	seventh	seventh	ADJ
cuesj-1103	137	36	iteration	iteration	NOUN
cuesj-1103	137	37	adm	adm	PROPN
cuesj-1103	137	38	lse	lse	PROPN
cuesj-1103	138	1	2.56×10–7	2.56×10–7	PROPN
cuesj-1103	139	1	3.43×10–10	3.43×10–10	NUM
cuesj-1103	140	1	6.67×10–11	6.67×10–11	NUM
cuesj-1103	140	2	3.68×10–14	3.68×10–14	PROPN
cuesj-1103	140	3	rt	rt	PROPN
cuesj-1103	140	4	0:1.6532	0:1.6532	PROPN
cuesj-1103	140	5	0:19564	0:19564	NUM
cuesj-1103	140	6	0:27754	0:27754	NUM
cuesj-1103	140	7	0:3.2243	0:3.2243	ADJ
cuesj-1103	140	8	table	table	NOUN
cuesj-1103	140	9	2	2	NUM
cuesj-1103	140	10	:	:	PUNCT
cuesj-1103	140	11	a	a	DET
cuesj-1103	140	12	comparison	comparison	NOUN
cuesj-1103	140	13	of	of	ADP
cuesj-1103	140	14	numerical	numerical	ADJ
cuesj-1103	140	15	and	and	CCONJ
cuesj-1103	140	16	exact	exact	ADJ
cuesj-1103	140	17	solutions	solution	NOUN
cuesj-1103	140	18	for	for	ADP
cuesj-1103	140	19	the	the	DET
cuesj-1103	140	20	adm	adm	NOUN
cuesj-1103	140	21	in	in	ADP
cuesj-1103	140	22	the	the	DET
cuesj-1103	140	23	point	point	NOUN
cuesj-1103	140	24	(	(	PUNCT
cuesj-1103	140	25	e	e	NOUN
cuesj-1103	140	26	,	,	PUNCT
cuesj-1103	140	27	h	h	NOUN
cuesj-1103	140	28	)	)	PUNCT
cuesj-1103	140	29	=	=	PUNCT
cuesj-1103	140	30	(	(	PUNCT
cuesj-1103	140	31	0.1	0.1	NUM
cuesj-1103	140	32	,	,	PUNCT
cuesj-1103	140	33	0.2	0.2	NUM
cuesj-1103	140	34	)	)	PUNCT
cuesj-1103	140	35	with	with	ADP
cuesj-1103	140	36	the	the	DET
cuesj-1103	140	37	exact	exact	ADJ
cuesj-1103	140	38	solution	solution	NOUN
cuesj-1103	140	39	0.05000000	0.05000000	NUM
cuesj-1103	140	40	iteration	iteration	NOUN
cuesj-1103	140	41	approximate	approximate	ADJ
cuesj-1103	140	42	solution	solution	NOUN
cuesj-1103	140	43	by	by	ADP
cuesj-1103	140	44	adm	adm	PROPN
cuesj-1103	140	45	absolute	absolute	ADJ
cuesj-1103	140	46	error	error	NOUN
cuesj-1103	140	47	for	for	ADP
cuesj-1103	140	48	adm	adm	PROPN
cuesj-1103	140	49	0	0	NUM
cuesj-1103	141	1	0.0798933333	0.0798933333	NUM
cuesj-1103	141	2	2.9893×10–2	2.9893×10–2	NUM
cuesj-1103	141	3	1	1	NUM
cuesj-1103	141	4	0.0499999999	0.0499999999	NUM
cuesj-1103	141	5	2.0471×10–9	2.0471×10–9	NUM
cuesj-1103	141	6	2	2	NUM
cuesj-1103	141	7	0.0499999999	0.0499999999	NUM
cuesj-1103	141	8	3.6320×10–12	3.6320×10–12	NUM
cuesj-1103	141	9	3	3	NUM
cuesj-1103	141	10	0.0500000000	0.0500000000	NUM
cuesj-1103	141	11	0.0000000000	0.0000000000	NUM
cuesj-1103	141	12	table	table	NOUN
cuesj-1103	141	13	3	3	NUM
cuesj-1103	141	14	:	:	PUNCT
cuesj-1103	141	15	results	result	NOUN
cuesj-1103	141	16	of	of	ADP
cuesj-1103	141	17	example	example	NOUN
cuesj-1103	141	18	(	(	PUNCT
cuesj-1103	141	19	1	1	X
cuesj-1103	141	20	)	)	PUNCT
cuesj-1103	141	21	for	for	ADP
cuesj-1103	141	22	different	different	ADJ
cuesj-1103	141	23	iterations	iteration	NOUN
cuesj-1103	141	24	first	first	ADJ
cuesj-1103	141	25	iteration	iteration	NOUN
cuesj-1103	141	26	third	third	ADJ
cuesj-1103	141	27	iteration	iteration	NOUN
cuesj-1103	141	28	fifth	fifth	ADJ
cuesj-1103	141	29	iteration	iteration	NOUN
cuesj-1103	141	30	seventh	seventh	ADJ
cuesj-1103	141	31	iteration	iteration	NOUN
cuesj-1103	141	32	adm	adm	PROPN
cuesj-1103	141	33	lse	lse	PROPN
cuesj-1103	141	34	4.77×10–5	4.77×10–5	NUM
cuesj-1103	142	1	3.43×10–8	3.43×10–8	NUM
cuesj-1103	143	1	2.65×10–12	2.65×10–12	NOUN
cuesj-1103	143	2	6.16×10–15	6.16×10–15	NUM
cuesj-1103	144	1	rt	rt	PROPN
cuesj-1103	144	2	0:12675	0:12675	NUM
cuesj-1103	144	3	0:17832	0:17832	NUM
cuesj-1103	145	1	0:2.4473	0:2.4473	X
cuesj-1103	145	2	0:3.0542	0:3.0542	ADJ
cuesj-1103	145	3	table	table	NOUN
cuesj-1103	145	4	1	1	NUM
cuesj-1103	145	5	:	:	PUNCT
cuesj-1103	145	6	comparison	comparison	NOUN
cuesj-1103	145	7	of	of	ADP
cuesj-1103	145	8	numerical	numerical	ADJ
cuesj-1103	145	9	and	and	CCONJ
cuesj-1103	145	10	exact	exact	ADJ
cuesj-1103	145	11	solutions	solution	NOUN
cuesj-1103	145	12	for	for	ADP
cuesj-1103	145	13	the	the	DET
cuesj-1103	145	14	adm	adm	NOUN
cuesj-1103	145	15	in	in	ADP
cuesj-1103	145	16	the	the	DET
cuesj-1103	145	17	point	point	NOUN
cuesj-1103	145	18	(	(	PUNCT
cuesj-1103	145	19	e	e	NOUN
cuesj-1103	145	20	,	,	PUNCT
cuesj-1103	145	21	h	h	NOUN
cuesj-1103	145	22	)	)	PUNCT
cuesj-1103	145	23	=	=	PUNCT
cuesj-1103	145	24	(	(	PUNCT
cuesj-1103	145	25	0.1	0.1	NUM
cuesj-1103	145	26	,	,	PUNCT
cuesj-1103	145	27	0.2	0.2	NUM
cuesj-1103	145	28	)	)	PUNCT
cuesj-1103	145	29	with	with	ADP
cuesj-1103	145	30	the	the	DET
cuesj-1103	145	31	exact	exact	ADJ
cuesj-1103	145	32	solution	solution	NOUN
cuesj-1103	145	33	0.02000000	0.02000000	NUM
cuesj-1103	145	34	.	.	PUNCT
cuesj-1103	146	1	iterations	iteration	NOUN
cuesj-1103	146	2	approximate	approximate	ADJ
cuesj-1103	146	3	solution	solution	NOUN
cuesj-1103	146	4	by	by	ADP
cuesj-1103	146	5	adm	adm	PROPN
cuesj-1103	146	6	absolute	absolute	ADJ
cuesj-1103	146	7	error	error	NOUN
cuesj-1103	146	8	for	for	ADP
cuesj-1103	146	9	adm	adm	PROPN
cuesj-1103	146	10	0	0	NUM
cuesj-1103	146	11	0.0199999644	0.0199999644	NUM
cuesj-1103	146	12	3.5664×10–8	3.5664×10–8	NUM
cuesj-1103	146	13	1	1	NUM
cuesj-1103	146	14	0.0199999983	0.0199999983	NUM
cuesj-1103	146	15	1.6732×10–9	1.6732×10–9	NUM
cuesj-1103	146	16	2	2	NUM
cuesj-1103	146	17	0.0200000000	0.0200000000	NUM
cuesj-1103	146	18	1.4000×10–11	1.4000×10–11	NUM
cuesj-1103	146	19	3	3	NUM
cuesj-1103	146	20	0.0200000000	0.0200000000	NUM
cuesj-1103	146	21	0.0000000000	0.0000000000	NUM
cuesj-1103	146	22	(	(	PUNCT
cuesj-1103	146	23	)	)	PUNCT
cuesj-1103	146	24	(	(	PUNCT
cuesj-1103	146	25	)	)	PUNCT
cuesj-1103	146	26	(	(	PUNCT
cuesj-1103	146	27	)	)	PUNCT
cuesj-1103	146	28	1	1	NUM
cuesj-1103	146	29	2w	2w	NUM
cuesj-1103	146	30	e	e	NOUN
cuesj-1103	146	31	,	,	PUNCT
cuesj-1103	146	32	h	h	PROPN
cuesj-1103	146	33	w	w	PROPN
cuesj-1103	146	34	e	e	PROPN
cuesj-1103	146	35	,	,	PUNCT
cuesj-1103	146	36	h	h	PROPN
cuesj-1103	146	37	w	w	PROPN
cuesj-1103	146	38	e	e	PROPN
cuesj-1103	146	39	,	,	PUNCT
cuesj-1103	146	40	h=	h=	X
cuesj-1103	146	41	+	+	CCONJ
cuesj-1103	146	42	put	put	VERB
cuesj-1103	146	43	w	w	NOUN
cuesj-1103	146	44	e	e	NOUN
cuesj-1103	146	45	h	h	NOUN
cuesj-1103	146	46	1	1	NUM
cuesj-1103	146	47	,	,	PUNCT
cuesj-1103	146	48	�	�	PROPN
cuesj-1103	146	49	�	�	PROPN
cuesj-1103	146	50	�	�	PROPN
cuesj-1103	146	51	eh	eh	INTJ
cuesj-1103	146	52	and	and	CCONJ
cuesj-1103	146	53	w	w	PROPN
cuesj-1103	146	54	e	e	PROPN
cuesj-1103	146	55	h	h	NOUN
cuesj-1103	146	56	2	2	NUM
cuesj-1103	146	57	5	5	NUM
cuesj-1103	146	58	4	4	NUM
cuesj-1103	146	59	9	9	NUM
cuesj-1103	146	60	,	,	PUNCT
cuesj-1103	146	61	�	�	PROPN
cuesj-1103	146	62	�	�	PROPN
cuesj-1103	146	63	�	�	PROPN
cuesj-1103	146	64	�	�	PROPN
cuesj-1103	146	65	h	h	NOUN
cuesj-1103	146	66	e	e	NOUN
cuesj-1103	146	67	,	,	PUNCT
cuesj-1103	146	68	then	then	ADV
cuesj-1103	146	69	u	u	PRON
cuesj-1103	146	70	eh0	eh0	VERB
cuesj-1103	146	71	1	1	NUM
cuesj-1103	146	72	e	e	NOUN
cuesj-1103	146	73	h	h	NOUN
cuesj-1103	146	74	w	w	PROPN
cuesj-1103	146	75	e	e	PROPN
cuesj-1103	146	76	h	h	NOUN
cuesj-1103	146	77	,	,	PUNCT
cuesj-1103	146	78	,	,	PUNCT
cuesj-1103	146	79	�	�	PROPN
cuesj-1103	146	80	�	�	PROPN
cuesj-1103	146	81	�	�	PROPN
cuesj-1103	146	82	�	�	PROPN
cuesj-1103	146	83	�	�	PROPN
cuesj-1103	146	84	�	�	PROPN
cuesj-1103	146	85	,	,	PUNCT
cuesj-1103	146	86	then	then	ADV
cuesj-1103	146	87	first	first	ADJ
cuesj-1103	146	88	approximation	approximation	NOUN
cuesj-1103	146	89	getting	get	VERB
cuesj-1103	146	90	by	by	ADP
cuesj-1103	146	91	(	(	PUNCT
cuesj-1103	146	92	)	)	PUNCT
cuesj-1103	146	93	(	(	PUNCT
cuesj-1103	146	94	)	)	PUNCT
cuesj-1103	146	95	(	(	PUNCT
cuesj-1103	146	96	)	)	PUNCT
cuesj-1103	146	97	(	(	PUNCT
cuesj-1103	146	98	)	)	PUNCT
cuesj-1103	146	99	(	(	PUNCT
cuesj-1103	146	100	)	)	PUNCT
cuesj-1103	146	101	(	(	PUNCT
cuesj-1103	146	102	)	)	PUNCT
cuesj-1103	146	103	(	(	PUNCT
cuesj-1103	146	104	)	)	PUNCT
cuesj-1103	146	105	(	(	PUNCT
cuesj-1103	146	106	)	)	PUNCT
cuesj-1103	147	1	h	h	NOUN
cuesj-1103	147	2	e	e	NOUN
cuesj-1103	147	3	1	1	NUM
cuesj-1103	147	4	2	2	NUM
cuesj-1103	147	5	0	0	NUM
cuesj-1103	147	6	0	0	NUM
cuesj-1103	147	7	0	0	NUM
cuesj-1103	147	8	h	h	NOUN
cuesj-1103	147	9	e4	e4	PROPN
cuesj-1103	147	10	5	5	NUM
cuesj-1103	147	11	4	4	NUM
cuesj-1103	147	12	2	2	NUM
cuesj-1103	147	13	0	0	NUM
cuesj-1103	147	14	0	0	NUM
cuesj-1103	147	15	0	0	NUM
cuesj-1103	147	16	h	h	NOUN
cuesj-1103	147	17	e	e	NOUN
cuesj-1103	147	18	2	2	NUM
cuesj-1103	147	19	0	0	NUM
cuesj-1103	147	20	0	0	NUM
cuesj-1103	147	21	e	e	NOUN
cuesj-1103	147	22	,	,	PUNCT
cuesj-1103	147	23	h	h	PROPN
cuesj-1103	147	24	w	w	PROPN
cuesj-1103	147	25	e	e	PROPN
cuesj-1103	147	26	,	,	PUNCT
cuesj-1103	147	27	h	h	NOUN
cuesj-1103	147	28	g	g	PROPN
cuesj-1103	147	29	e	e	PROPN
cuesj-1103	147	30	,	,	PUNCT
cuesj-1103	147	31	h	h	NOUN
cuesj-1103	147	32	,	,	PUNCT
cuesj-1103	147	33	y	y	PROPN
cuesj-1103	147	34	,	,	PUNCT
cuesj-1103	147	35	z	z	PROPN
cuesj-1103	147	36	u	u	NOUN
cuesj-1103	147	37	y	y	PROPN
cuesj-1103	147	38	,	,	PUNCT
cuesj-1103	147	39	z	z	NOUN
cuesj-1103	147	40	dydz	dydz	NOUN
cuesj-1103	147	41	e	e	PROPN
cuesj-1103	147	42	yz)u	yz)u	PROPN
cuesj-1103	147	43	y	y	PROPN
cuesj-1103	147	44	,	,	PUNCT
cuesj-1103	147	45	z	z	PROPN
cuesj-1103	147	46	dydz	dydz	NOUN
cuesj-1103	147	47	9	9	NUM
cuesj-1103	147	48	9	9	NUM
cuesj-1103	147	49	e	e	X
cuesj-1103	147	50	yz	yz	PROPN
cuesj-1103	147	51	)	)	PUNCT
cuesj-1103	148	1	yz	yz	PROPN
cuesj-1103	148	2	dydz	dydz	NOUN
cuesj-1103	148	3	0	0	PUNCT
cuesj-1103	149	1	u	u	NOUN
cuesj-1103	149	2	he	he	PRON
cuesj-1103	149	3	h	h	VERB
cuesj-1103	149	4	eh	eh	INTJ
cuesj-1103	149	5	h	h	NOUN
cuesj-1103	149	6	=	=	PUNCT
cuesj-1103	150	1	+	+	PUNCT
cuesj-1103	150	2	=	=	SYM
cuesj-1103	150	3	−	−	PROPN
cuesj-1103	150	4	+	+	CCONJ
cuesj-1103	150	5	λ	λ	X
cuesj-1103	150	6	=	=	SYM
cuesj-1103	150	7	−	−	PROPN
cuesj-1103	151	1	+	+	CCONJ
cuesj-1103	151	2	=	=	PUNCT
cuesj-1103	151	3	∫∫	∫∫	ADV
cuesj-1103	151	4	∫∫	∫∫	ADV
cuesj-1103	151	5	∫∫	∫∫	ADV
cuesj-1103	151	6	then	then	ADV
cuesj-1103	151	7	,	,	PUNCT
cuesj-1103	151	8	by	by	ADP
cuesj-1103	151	9	computing	compute	VERB
cuesj-1103	151	10	these	these	DET
cuesj-1103	151	11	two	two	NUM
cuesj-1103	151	12	components	component	NOUN
cuesj-1103	151	13	,	,	PUNCT
cuesj-1103	151	14	we	we	PRON
cuesj-1103	151	15	get	get	VERB
cuesj-1103	151	16	the	the	DET
cuesj-1103	151	17	exact	exact	ADJ
cuesj-1103	151	18	solution	solution	NOUN
cuesj-1103	151	19	for	for	ADP
cuesj-1103	151	20	the	the	DET
cuesj-1103	151	21	problem	problem	NOUN
cuesj-1103	151	22	.	.	PUNCT
cuesj-1103	152	1	hassan	hassan	PROPN
cuesj-1103	152	2	and	and	CCONJ
cuesj-1103	152	3	hussein	hussein	PROPN
cuesj-1103	152	4	:	:	PUNCT
cuesj-1103	152	5	modification	modification	NOUN
cuesj-1103	152	6	of	of	ADP
cuesj-1103	152	7	adomian	adomian	ADJ
cuesj-1103	152	8	decomposition	decomposition	NOUN
cuesj-1103	152	9	method	method	NOUN
cuesj-1103	152	10	to	to	PART
cuesj-1103	152	11	solve	solve	VERB
cuesj-1103	152	12	two	two	NUM
cuesj-1103	152	13	dimensions	dimension	NOUN
cuesj-1103	152	14	45	45	NUM
cuesj-1103	152	15	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1103	152	16	cuesj	cuesj	ADJ
cuesj-1103	152	17	2024	2024	NUM
cuesj-1103	152	18	,	,	PUNCT
cuesj-1103	152	19	8	8	NUM
cuesj-1103	152	20	(	(	PUNCT
cuesj-1103	152	21	1	1	NUM
cuesj-1103	152	22	):	):	PUNCT
cuesj-1103	152	23	41	41	NUM
cuesj-1103	152	24	-	-	SYM
cuesj-1103	152	25	45	45	NUM
cuesj-1103	152	26	example	example	NOUN
cuesj-1103	152	27	4	4	NUM
cuesj-1103	152	28	:	:	PUNCT
cuesj-1103	152	29	solve	solve	VERB
cuesj-1103	152	30	example	example	NOUN
cuesj-1103	152	31	2	2	NUM
cuesj-1103	152	32	by	by	ADP
cuesj-1103	152	33	modifying	modify	VERB
cuesj-1103	152	34	adm	adm	PROPN
cuesj-1103	152	35	.	.	PUNCT
cuesj-1103	153	1	solution	solution	NOUN
cuesj-1103	153	2	:	:	PUNCT
cuesj-1103	153	3	using	use	VERB
cuesj-1103	153	4	modified	modified	ADJ
cuesj-1103	153	5	adm	adm	PROPN
cuesj-1103	153	6	.	.	PUNCT
cuesj-1103	154	1	since	since	SCONJ
cuesj-1103	154	2	w	w	PROPN
cuesj-1103	154	3	e	e	PROPN
cuesj-1103	154	4	h	h	NOUN
cuesj-1103	154	5	,	,	PUNCT
cuesj-1103	154	6	(	(	PUNCT
cuesj-1103	154	7	)	)	PUNCT
cuesj-1103	154	8	(	(	PUNCT
cuesj-1103	154	9	)	)	PUNCT
cuesj-1103	154	10	�	�	PROPN
cuesj-1103	154	11	�	�	PROPN
cuesj-1103	154	12	�	�	PROPN
cuesj-1103	154	13	�	�	PROPN
cuesj-1103	154	14	�	�	PROPN
cuesj-1103	154	15	�	�	PROPN
cuesj-1103	154	16	�	�	PROPN
cuesj-1103	154	17	�	�	PROPN
cuesj-1103	154	18	e	e	NOUN
cuesj-1103	154	19	h	h	NOUN
cuesj-1103	154	20	he	he	PRON
cuesj-1103	154	21	h	h	NOUN
cuesj-1103	154	22	e	e	NOUN
cuesj-1103	154	23	h	h	NOUN
cuesj-1103	154	24	he	he	PRON
cuesj-1103	154	25	e2	e2	VERB
cuesj-1103	154	26	2	2	NUM
cuesj-1103	154	27	2	2	NUM
cuesj-1103	154	28	2	2	NUM
cuesj-1103	154	29	2	2	NUM
cuesj-1103	154	30	3	3	NUM
cuesj-1103	154	31	3	3	NUM
cuesj-1103	154	32	12	12	NUM
cuesj-1103	154	33	then	then	ADV
cuesj-1103	154	34	w	w	PROPN
cuesj-1103	154	35	e	e	PROPN
cuesj-1103	154	36	h	h	NOUN
cuesj-1103	154	37	w	w	PROPN
cuesj-1103	154	38	e	e	PROPN
cuesj-1103	154	39	h	h	NOUN
cuesj-1103	154	40	w	w	PROPN
cuesj-1103	154	41	e	e	PROPN
cuesj-1103	154	42	h	h	NOUN
cuesj-1103	154	43	,	,	PUNCT
cuesj-1103	154	44	,	,	PUNCT
cuesj-1103	154	45	,	,	PUNCT
cuesj-1103	154	46	�	�	PROPN
cuesj-1103	154	47	�	�	PROPN
cuesj-1103	154	48	�	�	PROPN
cuesj-1103	154	49	�	�	PROPN
cuesj-1103	154	50	�	�	PROPN
cuesj-1103	154	51	�	�	PROPN
cuesj-1103	154	52	�	�	PROPN
cuesj-1103	154	53	�	�	PROPN
cuesj-1103	154	54	1	1	NUM
cuesj-1103	154	55	2	2	NUM
cuesj-1103	154	56	put	put	VERB
cuesj-1103	154	57	w	w	NOUN
cuesj-1103	154	58	e	e	NOUN
cuesj-1103	154	59	h	h	NOUN
cuesj-1103	154	60	1	1	NUM
cuesj-1103	154	61	2	2	NUM
cuesj-1103	154	62	2	2	NUM
cuesj-1103	154	63	,	,	PUNCT
cuesj-1103	154	64	�	�	PROPN
cuesj-1103	154	65	�	�	PROPN
cuesj-1103	154	66	�	�	PROPN
cuesj-1103	154	67	�	�	PROPN
cuesj-1103	154	68	e	e	NOUN
cuesj-1103	154	69	h	h	NOUN
cuesj-1103	154	70	and	and	CCONJ
cuesj-1103	154	71	w	w	PROPN
cuesj-1103	154	72	e	e	PROPN
cuesj-1103	154	73	h	h	NOUN
cuesj-1103	154	74	2	2	NUM
cuesj-1103	154	75	2	2	NUM
cuesj-1103	154	76	2	2	NUM
cuesj-1103	154	77	2	2	NUM
cuesj-1103	154	78	3	3	NUM
cuesj-1103	154	79	3	3	NUM
cuesj-1103	154	80	12	12	NUM
cuesj-1103	154	81	,	,	PUNCT
cuesj-1103	154	82	(	(	PUNCT
cuesj-1103	154	83	)	)	PUNCT
cuesj-1103	154	84	(	(	PUNCT
cuesj-1103	154	85	)	)	PUNCT
cuesj-1103	154	86	�	�	PROPN
cuesj-1103	154	87	�	�	PROPN
cuesj-1103	154	88	�	�	PROPN
cuesj-1103	154	89	�	�	PROPN
cuesj-1103	154	90	�	�	PROPN
cuesj-1103	154	91	�	�	PROPN
cuesj-1103	154	92	�	�	PROPN
cuesj-1103	154	93	he	he	PRON
cuesj-1103	154	94	h	h	NOUN
cuesj-1103	155	1	e	e	NOUN
cuesj-1103	155	2	h	h	NOUN
cuesj-1103	155	3	he	he	PRON
cuesj-1103	155	4	e	e	X
cuesj-1103	155	5	(	(	PUNCT
cuesj-1103	155	6	)	)	PUNCT
cuesj-1103	155	7	(	(	PUNCT
cuesj-1103	155	8	)	)	PUNCT
cuesj-1103	155	9	0	0	NUM
cuesj-1103	155	10	2	2	NUM
cuesj-1103	155	11	2	2	NUM
cuesj-1103	155	12	1e	1e	NOUN
cuesj-1103	155	13	,	,	PUNCT
cuesj-1103	155	14	h	h	PROPN
cuesj-1103	155	15	w	w	PROPN
cuesj-1103	155	16	e	e	PROPN
cuesj-1103	155	17	,	,	PUNCT
cuesj-1103	155	18	h	h	NOUN
cuesj-1103	155	19	,	,	PUNCT
cuesj-1103	155	20	u	u	PROPN
cuesj-1103	155	21	e	e	NOUN
cuesj-1103	155	22	h=	h=	NOUN
cuesj-1103	156	1	=	=	X
cuesj-1103	156	2	+	+	CCONJ
cuesj-1103	156	3	then	then	ADV
cuesj-1103	156	4	first	first	ADJ
cuesj-1103	156	5	approximation	approximation	NOUN
cuesj-1103	156	6	getting	get	VERB
cuesj-1103	156	7	by	by	ADP
cuesj-1103	156	8	(	(	PUNCT
cuesj-1103	156	9	)	)	PUNCT
cuesj-1103	156	10	(	(	PUNCT
cuesj-1103	156	11	)	)	PUNCT
cuesj-1103	156	12	(	(	PUNCT
cuesj-1103	156	13	)	)	PUNCT
cuesj-1103	156	14	h	h	NOUN
cuesj-1103	157	1	e	e	NOUN
cuesj-1103	157	2	1	1	NUM
cuesj-1103	157	3	2	2	NUM
cuesj-1103	157	4	0	0	NUM
cuesj-1103	157	5	0	0	NUM
cuesj-1103	157	6	0	0	NUM
cuesj-1103	157	7	e	e	NOUN
cuesj-1103	157	8	,	,	PUNCT
cuesj-1103	157	9	h	h	PROPN
cuesj-1103	157	10	w	w	PROPN
cuesj-1103	157	11	e	e	PROPN
cuesj-1103	157	12	,	,	PUNCT
cuesj-1103	157	13	h	h	NOUN
cuesj-1103	157	14	g	g	PROPN
cuesj-1103	157	15	e	e	PROPN
cuesj-1103	157	16	,	,	PUNCT
cuesj-1103	157	17	h	h	NOUN
cuesj-1103	157	18	,	,	PUNCT
cuesj-1103	157	19	y	y	PROPN
cuesj-1103	157	20	,	,	PUNCT
cuesj-1103	157	21	z	z	PROPN
cuesj-1103	157	22	u	u	NOUN
cuesj-1103	157	23	(	(	PUNCT
cuesj-1103	157	24	y	y	PROPN
cuesj-1103	157	25	,	,	PUNCT
cuesj-1103	157	26	z)dydz	z)dydz	NUM
cuesj-1103	157	27	u	u	NOUN
cuesj-1103	157	28	=	=	NOUN
cuesj-1103	157	29	+	+	CCONJ
cuesj-1103	158	1	∫∫	∫∫	ADV
cuesj-1103	158	2	(	(	PUNCT
cuesj-1103	158	3	)	)	PUNCT
cuesj-1103	158	4	(	(	PUNCT
cuesj-1103	158	5	)	)	PUNCT
cuesj-1103	158	6	2	2	NUM
cuesj-1103	158	7	2	2	NUM
cuesj-1103	158	8	2	2	NUM
cuesj-1103	158	9	h	h	NOUN
cuesj-1103	158	10	e	e	NOUN
cuesj-1103	158	11	2	2	NUM
cuesj-1103	158	12	2	2	NUM
cuesj-1103	158	13	0	0	NUM
cuesj-1103	158	14	0	0	NUM
cuesj-1103	158	15	(	(	PUNCT
cuesj-1103	158	16	)	)	PUNCT
cuesj-1103	158	17	(	(	PUNCT
cuesj-1103	158	18	3	3	NUM
cuesj-1103	158	19	3	3	NUM
cuesj-1103	158	20	)	)	PUNCT
cuesj-1103	158	21	12	12	NUM
cuesj-1103	158	22	e	e	NOUN
cuesj-1103	158	23	)	)	PUNCT
cuesj-1103	158	24	(	(	PUNCT
cuesj-1103	158	25	y	y	PROPN
cuesj-1103	158	26	z	z	PROPN
cuesj-1103	158	27	)	)	PUNCT
cuesj-1103	159	1	dydz	dydz	NOUN
cuesj-1103	159	2	0	0	NUM
cuesj-1103	160	1	he	he	PRON
cuesj-1103	160	2	h	h	NOUN
cuesj-1103	161	1	e	e	NOUN
cuesj-1103	161	2	h	h	NOUN
cuesj-1103	162	1	he	he	PRON
cuesj-1103	162	2	e	e	PROPN
cuesj-1103	162	3	h	h	NOUN
cuesj-1103	162	4	y	y	NOUN
cuesj-1103	162	5	z	z	PROPN
cuesj-1103	163	1	+	+	CCONJ
cuesj-1103	163	2	−	−	PROPN
cuesj-1103	164	1	−	−	PROPN
cuesj-1103	164	2	=	=	SYM
cuesj-1103	165	1	−	−	PROPN
cuesj-1103	166	1	+	+	CCONJ
cuesj-1103	166	2	+	+	PUNCT
cuesj-1103	166	3	+	+	PUNCT
cuesj-1103	166	4	+	+	NOUN
cuesj-1103	166	5	=	=	NOUN
cuesj-1103	166	6	∫∫	∫∫	ADV
cuesj-1103	166	7	then	then	ADV
cuesj-1103	166	8	by	by	ADP
cuesj-1103	166	9	computing	compute	VERB
cuesj-1103	166	10	these	these	DET
cuesj-1103	166	11	two	two	NUM
cuesj-1103	166	12	components	component	NOUN
cuesj-1103	166	13	,	,	PUNCT
cuesj-1103	166	14	we	we	PRON
cuesj-1103	166	15	get	get	VERB
cuesj-1103	166	16	the	the	DET
cuesj-1103	166	17	exact	exact	ADJ
cuesj-1103	166	18	solution	solution	NOUN
cuesj-1103	166	19	for	for	ADP
cuesj-1103	166	20	the	the	DET
cuesj-1103	166	21	problem	problem	NOUN
cuesj-1103	166	22	.	.	PUNCT
cuesj-1103	167	1	conclusions	conclusion	NOUN
cuesj-1103	167	2	this	this	DET
cuesj-1103	167	3	study	study	NOUN
cuesj-1103	167	4	proposes	propose	VERB
cuesj-1103	167	5	numerical	numerical	ADJ
cuesj-1103	167	6	solutions	solution	NOUN
cuesj-1103	167	7	for	for	ADP
cuesj-1103	167	8	tdvie2nd	tdvie2nd	PRON
cuesj-1103	167	9	utilizing	utilize	VERB
cuesj-1103	167	10	the	the	DET
cuesj-1103	167	11	adm	adm	PROPN
cuesj-1103	167	12	method	method	NOUN
cuesj-1103	167	13	,	,	PUNCT
cuesj-1103	167	14	suggesting	suggest	VERB
cuesj-1103	167	15	suitable	suitable	ADJ
cuesj-1103	167	16	algorithms	algorithm	NOUN
cuesj-1103	167	17	,	,	PUNCT
cuesj-1103	167	18	and	and	CCONJ
cuesj-1103	167	19	presenting	present	VERB
cuesj-1103	167	20	results	result	NOUN
cuesj-1103	167	21	through	through	ADP
cuesj-1103	167	22	a	a	DET
cuesj-1103	167	23	matlab	matlab	PROPN
cuesj-1103	167	24	software	software	NOUN
cuesj-1103	167	25	program	program	NOUN
cuesj-1103	167	26	.	.	PUNCT
cuesj-1103	168	1	the	the	DET
cuesj-1103	168	2	numerical	numerical	ADJ
cuesj-1103	168	3	results	result	NOUN
cuesj-1103	168	4	were	be	AUX
cuesj-1103	168	5	compared	compare	VERB
cuesj-1103	168	6	based	base	VERB
cuesj-1103	168	7	on	on	ADP
cuesj-1103	168	8	lse	lse	PROPN
cuesj-1103	168	9	and	and	CCONJ
cuesj-1103	168	10	rt	rt	PROPN
cuesj-1103	168	11	to	to	PART
cuesj-1103	168	12	facilitate	facilitate	VERB
cuesj-1103	168	13	a	a	DET
cuesj-1103	168	14	discussion	discussion	NOUN
cuesj-1103	168	15	.	.	PUNCT
cuesj-1103	169	1	finally	finally	ADV
cuesj-1103	169	2	,	,	PUNCT
cuesj-1103	169	3	we	we	PRON
cuesj-1103	169	4	may	may	AUX
cuesj-1103	169	5	infer	infer	VERB
cuesj-1103	169	6	that	that	SCONJ
cuesj-1103	169	7	:	:	PUNCT
cuesj-1103	170	1	1	1	X
cuesj-1103	170	2	.	.	X
cuesj-1103	171	1	the	the	DET
cuesj-1103	171	2	adm	adm	PROPN
cuesj-1103	171	3	demonstrated	demonstrate	VERB
cuesj-1103	171	4	their	their	PRON
cuesj-1103	171	5	effectiveness	effectiveness	NOUN
cuesj-1103	171	6	for	for	ADP
cuesj-1103	171	7	numerically	numerically	ADV
cuesj-1103	171	8	solving	solve	VERB
cuesj-1103	171	9	tdvie-2nd	tdvie-2nd	X
cuesj-1103	171	10	and	and	CCONJ
cuesj-1103	171	11	producing	produce	VERB
cuesj-1103	171	12	precise	precise	ADJ
cuesj-1103	171	13	answers	answer	NOUN
cuesj-1103	171	14	.	.	PUNCT
cuesj-1103	172	1	2	2	X
cuesj-1103	172	2	.	.	X
cuesj-1103	172	3	from	from	ADP
cuesj-1103	172	4	tables	table	NOUN
cuesj-1103	172	5	(	(	PUNCT
cuesj-1103	172	6	3	3	NUM
cuesj-1103	172	7	)	)	PUNCT
cuesj-1103	172	8	and	and	CCONJ
cuesj-1103	172	9	(	(	PUNCT
cuesj-1103	172	10	4	4	X
cuesj-1103	172	11	)	)	PUNCT
cuesj-1103	172	12	the	the	DET
cuesj-1103	172	13	lse	lse	NOUN
cuesj-1103	172	14	decreases	decrease	VERB
cuesj-1103	172	15	when	when	SCONJ
cuesj-1103	172	16	the	the	DET
cuesj-1103	172	17	number	number	NOUN
cuesj-1103	172	18	of	of	ADP
cuesj-1103	172	19	iterations	iteration	NOUN
cuesj-1103	172	20	increases	increase	NOUN
cuesj-1103	172	21	.	.	PUNCT
cuesj-1103	173	1	3	3	X
cuesj-1103	173	2	.	.	X
cuesj-1103	173	3	modified	modify	VERB
cuesj-1103	173	4	adm	adm	PROPN
cuesj-1103	173	5	needs	need	VERB
cuesj-1103	173	6	only	only	ADV
cuesj-1103	173	7	one	one	NUM
cuesj-1103	173	8	iteration	iteration	NOUN
cuesj-1103	173	9	for	for	ADP
cuesj-1103	173	10	getting	get	VERB
cuesj-1103	173	11	the	the	DET
cuesj-1103	173	12	exact	exact	ADJ
cuesj-1103	173	13	solution	solution	NOUN
cuesj-1103	173	14	for	for	ADP
cuesj-1103	173	15	the	the	DET
cuesj-1103	173	16	problem	problem	NOUN
cuesj-1103	173	17	.	.	PUNCT
cuesj-1103	174	1	references	reference	NOUN
cuesj-1103	174	2	1	1	NUM
cuesj-1103	174	3	.	.	PUNCT
cuesj-1103	174	4	m.	m.	NOUN
cuesj-1103	174	5	a.	a.	PROPN
cuesj-1103	174	6	abdou	abdou	PROPN
cuesj-1103	174	7	and	and	CCONJ
cuesj-1103	174	8	s.	s.	PROPN
cuesj-1103	174	9	ahmed	ahmed	PROPN
cuesj-1103	174	10	.	.	PUNCT
cuesj-1103	175	1	the	the	DET
cuesj-1103	175	2	stability	stability	NOUN
cuesj-1103	175	3	of	of	ADP
cuesj-1103	175	4	the	the	DET
cuesj-1103	175	5	solution	solution	NOUN
cuesj-1103	175	6	of	of	ADP
cuesj-1103	175	7	nonlinear	nonlinear	ADJ
cuesj-1103	175	8	integral	integral	ADJ
cuesj-1103	175	9	equation	equation	NOUN
cuesj-1103	175	10	in	in	ADP
cuesj-1103	175	11	two	two	NUM
cuesj-1103	175	12	dimensional	dimensional	ADJ
cuesj-1103	175	13	problems	problem	NOUN
cuesj-1103	175	14	.	.	PUNCT
cuesj-1103	176	1	the	the	DET
cuesj-1103	176	2	international	international	ADJ
cuesj-1103	176	3	journal	journal	NOUN
cuesj-1103	176	4	of	of	ADP
cuesj-1103	176	5	engineering	engineering	NOUN
cuesj-1103	176	6	and	and	CCONJ
cuesj-1103	176	7	science	science	NOUN
cuesj-1103	176	8	,	,	PUNCT
cuesj-1103	176	9	vol	vol	NOUN
cuesj-1103	176	10	.	.	PROPN
cuesj-1103	176	11	9	9	NUM
cuesj-1103	176	12	,	,	PUNCT
cuesj-1103	176	13	no	no	INTJ
cuesj-1103	176	14	.	.	NOUN
cuesj-1103	176	15	4	4	NUM
cuesj-1103	176	16	,	,	PUNCT
cuesj-1103	176	17	pp	pp	ADJ
cuesj-1103	176	18	.	.	PUNCT
cuesj-1103	177	1	1	1	NUM
cuesj-1103	177	2	-	-	SYM
cuesj-1103	177	3	12	12	NUM
cuesj-1103	177	4	,	,	PUNCT
cuesj-1103	177	5	2020	2020	NUM
cuesj-1103	177	6	.	.	PUNCT
cuesj-1103	178	1	2	2	X
cuesj-1103	178	2	.	.	X
cuesj-1103	178	3	m.	m.	NOUN
cuesj-1103	178	4	a.	a.	PROPN
cuesj-1103	178	5	abdou	abdou	PROPN
cuesj-1103	178	6	and	and	CCONJ
cuesj-1103	178	7	g.	g.	PROPN
cuesj-1103	178	8	m.	m.	PROPN
cuesj-1103	178	9	abdul	abdul	PROPN
cuesj-1103	178	10	-	-	PUNCT
cuesj-1103	178	11	kader	kader	PROPN
cuesj-1103	178	12	.	.	PUNCT
cuesj-1103	179	1	mixed	mixed	ADJ
cuesj-1103	179	2	fredholm	fredholm	NOUN
cuesj-1103	179	3	-	-	PUNCT
cuesj-1103	179	4	volterra	volterra	NOUN
cuesj-1103	179	5	integral	integral	ADJ
cuesj-1103	179	6	equation	equation	NOUN
cuesj-1103	179	7	.	.	PUNCT
cuesj-1103	180	1	journal	journal	PROPN
cuesj-1103	180	2	le	le	PROPN
cuesj-1103	180	3	matematiche	matematiche	PROPN
cuesj-1103	180	4	,	,	PUNCT
cuesj-1103	180	5	vol	vol	NOUN
cuesj-1103	180	6	.	.	PUNCT
cuesj-1103	181	1	lxfasc	lxfasc	PROPN
cuesj-1103	181	2	.	.	PUNCT
cuesj-1103	182	1	i	i	PRON
cuesj-1103	182	2	,	,	PUNCT
cuesj-1103	182	3	pp	pp	PROPN
cuesj-1103	182	4	.	.	PUNCT
cuesj-1103	183	1	41	41	NUM
cuesj-1103	183	2	-	-	SYM
cuesj-1103	183	3	58	58	NUM
cuesj-1103	183	4	,	,	PUNCT
cuesj-1103	183	5	2005	2005	NUM
cuesj-1103	183	6	.	.	PUNCT
cuesj-1103	184	1	3	3	X
cuesj-1103	184	2	.	.	PUNCT
cuesj-1103	184	3	k.	k.	PROPN
cuesj-1103	184	4	e.	e.	PROPN
cuesj-1103	184	5	atkinson	atkinson	PROPN
cuesj-1103	184	6	.	.	PUNCT
cuesj-1103	185	1	the	the	DET
cuesj-1103	185	2	numerical	numerical	ADJ
cuesj-1103	185	3	solution	solution	NOUN
cuesj-1103	185	4	of	of	ADP
cuesj-1103	185	5	integral	integral	ADJ
cuesj-1103	185	6	equations	equation	NOUN
cuesj-1103	185	7	of	of	ADP
cuesj-1103	185	8	the	the	DET
cuesj-1103	185	9	second	second	ADJ
cuesj-1103	185	10	kind	kind	NOUN
cuesj-1103	185	11	.	.	PUNCT
cuesj-1103	186	1	cambridge	cambridge	PROPN
cuesj-1103	186	2	university	university	PROPN
cuesj-1103	186	3	press	press	PROPN
cuesj-1103	186	4	,	,	PUNCT
cuesj-1103	186	5	cambridge	cambridge	PROPN
cuesj-1103	186	6	,	,	PUNCT
cuesj-1103	186	7	1997	1997	NUM
cuesj-1103	186	8	.	.	PUNCT
cuesj-1103	187	1	4	4	X
cuesj-1103	187	2	.	.	X
cuesj-1103	187	3	e.	e.	PROPN
cuesj-1103	187	4	babolian	babolian	PROPN
cuesj-1103	187	5	and	and	CCONJ
cuesj-1103	187	6	n.	n.	PROPN
cuesj-1103	187	7	dastani	dastani	PROPN
cuesj-1103	187	8	.	.	PUNCT
cuesj-1103	188	1	he	he	PRON
cuesj-1103	188	2	’s	’	VERB
cuesj-1103	188	3	homotopy	homotopy	PROPN
cuesj-1103	188	4	perturbation	perturbation	NOUN
cuesj-1103	188	5	method	method	NOUN
cuesj-1103	188	6	:	:	PUNCT
cuesj-1103	188	7	an	an	DET
cuesj-1103	188	8	effective	effective	ADJ
cuesj-1103	188	9	tool	tool	NOUN
cuesj-1103	188	10	for	for	ADP
cuesj-1103	188	11	solving	solve	VERB
cuesj-1103	188	12	a	a	DET
cuesj-1103	188	13	nonlinear	nonlinear	ADJ
cuesj-1103	188	14	system	system	NOUN
cuesj-1103	188	15	of	of	ADP
cuesj-1103	188	16	twodimensional	twodimensional	ADJ
cuesj-1103	188	17	volterrafredholm	volterrafredholm	NOUN
cuesj-1103	188	18	integral	integral	ADJ
cuesj-1103	188	19	equations	equation	NOUN
cuesj-1103	188	20	.	.	PUNCT
cuesj-1103	189	1	journal	journal	PROPN
cuesj-1103	189	2	of	of	ADP
cuesj-1103	189	3	mathematical	mathematical	ADJ
cuesj-1103	189	4	and	and	CCONJ
cuesj-1103	189	5	computer	computer	NOUN
cuesj-1103	189	6	modelling	modelling	NOUN
cuesj-1103	189	7	,	,	PUNCT
cuesj-1103	189	8	vol	vol	NOUN
cuesj-1103	189	9	.	.	PROPN
cuesj-1103	190	1	55	55	NUM
cuesj-1103	190	2	,	,	PUNCT
cuesj-1103	190	3	no	no	INTJ
cuesj-1103	190	4	.	.	NOUN
cuesj-1103	190	5	7	7	NUM
cuesj-1103	190	6	,	,	PUNCT
cuesj-1103	190	7	pp	pp	ADJ
cuesj-1103	190	8	.	.	PUNCT
cuesj-1103	191	1	12331244	12331244	NUM
cuesj-1103	191	2	,	,	PUNCT
cuesj-1103	191	3	2012	2012	NUM
cuesj-1103	191	4	.	.	PUNCT
cuesj-1103	192	1	5	5	NUM
cuesj-1103	192	2	.	.	PUNCT
cuesj-1103	192	3	f.	f.	PROPN
cuesj-1103	192	4	d.	d.	PROPN
cuesj-1103	192	5	bazrafshan	bazrafshan	PROPN
cuesj-1103	192	6	,	,	PUNCT
cuesj-1103	192	7	a.	a.	PROPN
cuesj-1103	192	8	h.	h.	PROPN
cuesj-1103	192	9	mahbobi	mahbobi	PROPN
cuesj-1103	192	10	,	,	PUNCT
cuesj-1103	192	11	a.	a.	NOUN
cuesj-1103	192	12	sousaraie	sousaraie	PROPN
cuesj-1103	192	13	and	and	CCONJ
cuesj-1103	192	14	m.	m.	PROPN
cuesj-1103	192	15	ebrahim	ebrahim	PROPN
cuesj-1103	192	16	.	.	PUNCT
cuesj-1103	193	1	solving	solve	VERB
cuesj-1103	193	2	twodimensional	twodimensional	ADJ
cuesj-1103	193	3	integral	integral	ADJ
cuesj-1103	193	4	equations	equation	NOUN
cuesj-1103	193	5	.	.	PUNCT
cuesj-1103	194	1	journal	journal	PROPN
cuesj-1103	194	2	of	of	ADP
cuesj-1103	194	3	king	king	PROPN
cuesj-1103	194	4	saud	saud	PROPN
cuesj-1103	194	5	university	university	PROPN
cuesj-1103	194	6	(	(	PUNCT
cuesj-1103	194	7	science	science	NOUN
cuesj-1103	194	8	)	)	PUNCT
cuesj-1103	194	9	vol	vol	NOUN
cuesj-1103	194	10	.	.	PROPN
cuesj-1103	195	1	3	3	NUM
cuesj-1103	195	2	,	,	PUNCT
cuesj-1103	195	3	no	no	INTJ
cuesj-1103	195	4	.	.	NOUN
cuesj-1103	195	5	2	2	NUM
cuesj-1103	195	6	,	,	PUNCT
cuesj-1103	195	7	pp	pp	ADJ
cuesj-1103	195	8	.	.	PUNCT
cuesj-1103	196	1	111	111	NUM
cuesj-1103	196	2	-	-	SYM
cuesj-1103	196	3	114	114	NUM
cuesj-1103	196	4	,	,	PUNCT
cuesj-1103	196	5	2011	2011	NUM
cuesj-1103	196	6	.	.	PUNCT
cuesj-1103	197	1	6	6	NUM
cuesj-1103	197	2	.	.	PUNCT
cuesj-1103	197	3	a.	a.	NOUN
cuesj-1103	197	4	h.	h.	PROPN
cuesj-1103	197	5	borzabadi	borzabadi	PROPN
cuesj-1103	197	6	and	and	CCONJ
cuesj-1103	197	7	m.	m.	NOUN
cuesj-1103	197	8	heidari	heidari	PROPN
cuesj-1103	197	9	.	.	PUNCT
cuesj-1103	198	1	a	a	DET
cuesj-1103	198	2	successive	successive	ADJ
cuesj-1103	198	3	numerical	numerical	ADJ
cuesj-1103	198	4	scheme	scheme	NOUN
cuesj-1103	198	5	for	for	ADP
cuesj-1103	198	6	some	some	DET
cuesj-1103	198	7	classes	class	NOUN
cuesj-1103	198	8	of	of	ADP
cuesj-1103	198	9	volterra	volterra	NOUN
cuesj-1103	198	10	-	-	PUNCT
cuesj-1103	198	11	fredholm	fredholm	NOUN
cuesj-1103	198	12	integral	integral	ADJ
cuesj-1103	198	13	equations	equation	NOUN
cuesj-1103	198	14	.	.	PUNCT
cuesj-1103	199	1	iranian	iranian	ADJ
cuesj-1103	199	2	journal	journal	PROPN
cuesj-1103	199	3	of	of	ADP
cuesj-1103	199	4	mathematical	mathematical	ADJ
cuesj-1103	199	5	sciences	sciences	PROPN
cuesj-1103	199	6	and	and	CCONJ
cuesj-1103	199	7	informatics	informatic	NOUN
cuesj-1103	199	8	,	,	PUNCT
cuesj-1103	199	9	vol	vol	NOUN
cuesj-1103	199	10	.	.	PROPN
cuesj-1103	200	1	10	10	NUM
cuesj-1103	200	2	,	,	PUNCT
cuesj-1103	200	3	no	no	INTJ
cuesj-1103	200	4	.	.	NOUN
cuesj-1103	200	5	2	2	NUM
cuesj-1103	200	6	,	,	PUNCT
cuesj-1103	200	7	pp	pp	ADJ
cuesj-1103	200	8	.	.	PUNCT
cuesj-1103	201	1	1	1	NUM
cuesj-1103	201	2	-	-	SYM
cuesj-1103	201	3	10	10	NUM
cuesj-1103	201	4	,	,	PUNCT
cuesj-1103	201	5	2015	2015	NUM
cuesj-1103	201	6	.	.	PUNCT
cuesj-1103	202	1	7	7	X
cuesj-1103	202	2	.	.	X
cuesj-1103	202	3	h.	h.	PROPN
cuesj-1103	202	4	bronner	bronner	PROPN
cuesj-1103	202	5	and	and	CCONJ
cuesj-1103	202	6	j.	j.	PROPN
cuesj-1103	202	7	p.	p.	PROPN
cuesj-1103	202	8	kauthen	kauthen	PROPN
cuesj-1103	202	9	.	.	PUNCT
cuesj-1103	203	1	numerical	numerical	ADJ
cuesj-1103	203	2	solutions	solution	NOUN
cuesj-1103	203	3	of	of	ADP
cuesj-1103	203	4	two	two	NUM
cuesj-1103	203	5	dimensional	dimensional	ADJ
cuesj-1103	203	6	volterra	volterra	NOUN
cuesj-1103	203	7	integral	integral	ADJ
cuesj-1103	203	8	equations	equation	NOUN
cuesj-1103	203	9	of	of	ADP
cuesj-1103	203	10	the	the	DET
cuesj-1103	203	11	second	second	ADJ
cuesj-1103	203	12	kind	kind	NOUN
cuesj-1103	203	13	by	by	ADP
cuesj-1103	203	14	collection	collection	NOUN
cuesj-1103	203	15	and	and	CCONJ
cuesj-1103	203	16	iterated	iterated	ADJ
cuesj-1103	203	17	collection	collection	NOUN
cuesj-1103	203	18	.	.	PUNCT
cuesj-1103	204	1	i	i	PRON
cuesj-1103	204	2	m	m	VERB
cuesj-1103	204	3	a	a	DET
cuesj-1103	204	4	journal	journal	NOUN
cuesj-1103	204	5	of	of	ADP
cuesj-1103	204	6	numerical	numerical	ADJ
cuesj-1103	204	7	analysis	analysis	NOUN
cuesj-1103	204	8	,	,	PUNCT
cuesj-1103	204	9	vol	vol	NOUN
cuesj-1103	204	10	.	.	NOUN
cuesj-1103	204	11	9	9	NUM
cuesj-1103	204	12	,	,	PUNCT
cuesj-1103	204	13	no	no	INTJ
cuesj-1103	204	14	.	.	NOUN
cuesj-1103	204	15	3	3	NUM
cuesj-1103	204	16	,	,	PUNCT
cuesj-1103	204	17	pp	pp	ADJ
cuesj-1103	204	18	.	.	PUNCT
cuesj-1103	204	19	49	49	NUM
cuesj-1103	204	20	-	-	SYM
cuesj-1103	204	21	59	59	NUM
cuesj-1103	204	22	,	,	PUNCT
cuesj-1103	204	23	1989	1989	NUM
cuesj-1103	204	24	.	.	PUNCT
cuesj-1103	205	1	8	8	NUM
cuesj-1103	205	2	.	.	PUNCT
cuesj-1103	205	3	c.	c.	PROPN
cuesj-1103	205	4	h.	h.	PROPN
cuesj-1103	205	5	chin	chin	PROPN
cuesj-1103	205	6	.	.	PUNCT
cuesj-1103	206	1	broadband	broadband	PROPN
cuesj-1103	206	2	patch	patch	PROPN
cuesj-1103	206	3	antenna	antenna	NOUN
cuesj-1103	206	4	with	with	ADP
cuesj-1103	206	5	a	a	DET
cuesj-1103	206	6	folded	fold	VERB
cuesj-1103	206	7	plate	plate	NOUN
cuesj-1103	206	8	pair	pair	NOUN
cuesj-1103	206	9	as	as	ADP
cuesj-1103	206	10	a	a	DET
cuesj-1103	206	11	differential	differential	ADJ
cuesj-1103	206	12	feeding	feeding	NOUN
cuesj-1103	206	13	scheme	scheme	NOUN
cuesj-1103	206	14	.	.	PUNCT
cuesj-1103	207	1	ieee	ieee	NOUN
cuesj-1103	207	2	transactions	transaction	NOUN
cuesj-1103	207	3	antennas	antennas	PROPN
cuesj-1103	207	4	propagation	propagation	NOUN
cuesj-1103	207	5	,	,	PUNCT
cuesj-1103	207	6	vol	vol	NOUN
cuesj-1103	207	7	.	.	PROPN
cuesj-1103	208	1	55	55	NUM
cuesj-1103	208	2	,	,	PUNCT
cuesj-1103	208	3	no	no	INTJ
cuesj-1103	208	4	.	.	NOUN
cuesj-1103	208	5	9	9	NUM
cuesj-1103	208	6	,	,	PUNCT
cuesj-1103	208	7	pp	pp	ADJ
cuesj-1103	208	8	.	.	PUNCT
cuesj-1103	209	1	57	57	NUM
cuesj-1103	209	2	-	-	SYM
cuesj-1103	209	3	69	69	NUM
cuesj-1103	209	4	,	,	PUNCT
cuesj-1103	209	5	2007	2007	NUM
cuesj-1103	209	6	.	.	PUNCT
cuesj-1103	210	1	9	9	NUM
cuesj-1103	210	2	.	.	PUNCT
cuesj-1103	210	3	t.	t.	PROPN
cuesj-1103	210	4	i.	i.	PROPN
cuesj-1103	210	5	hassan	hassan	PROPN
cuesj-1103	210	6	,	,	PUNCT
cuesj-1103	210	7	n.	n.	PROPN
cuesj-1103	210	8	a.	a.	PROPN
cuesj-1103	210	9	sulaiman	sulaiman	PROPN
cuesj-1103	210	10	and	and	CCONJ
cuesj-1103	210	11	s.	s.	PROPN
cuesj-1103	210	12	saleh	saleh	PROPN
cuesj-1103	210	13	.	.	PUNCT
cuesj-1103	211	1	aitken	aitken	PROPN
cuesj-1103	211	2	method	method	PROPN
cuesj-1103	211	3	on	on	ADP
cuesj-1103	211	4	iterative	iterative	ADJ
cuesj-1103	211	5	kernel	kernel	NOUN
cuesj-1103	211	6	method	method	NOUN
cuesj-1103	211	7	for	for	ADP
cuesj-1103	211	8	solving	solve	VERB
cuesj-1103	211	9	system	system	NOUN
cuesj-1103	211	10	of	of	ADP
cuesj-1103	211	11	volterrafredholm	volterrafredholm	ADJ
cuesj-1103	211	12	integral	integral	ADJ
cuesj-1103	211	13	equations	equation	NOUN
cuesj-1103	211	14	of	of	ADP
cuesj-1103	211	15	the	the	DET
cuesj-1103	211	16	second	second	ADJ
cuesj-1103	211	17	kind	kind	NOUN
cuesj-1103	211	18	.	.	PUNCT
cuesj-1103	212	1	journal	journal	NOUN
cuesj-1103	212	2	of	of	ADP
cuesj-1103	212	3	pure	pure	ADJ
cuesj-1103	212	4	and	and	CCONJ
cuesj-1103	212	5	applied	applied	ADJ
cuesj-1103	212	6	sciences	science	NOUN
cuesj-1103	212	7	,	,	PUNCT
cuesj-1103	212	8	vol	vol	NOUN
cuesj-1103	212	9	.	.	PUNCT
cuesj-1103	212	10	28(6	28(6	NUM
cuesj-1103	212	11	)	)	PUNCT
cuesj-1103	212	12	,	,	PUNCT
cuesj-1103	212	13	pp	pp	PROPN
cuesj-1103	212	14	.	.	PUNCT
cuesj-1103	213	1	79	79	NUM
cuesj-1103	213	2	-	-	SYM
cuesj-1103	213	3	88	88	NUM
cuesj-1103	213	4	,	,	PUNCT
cuesj-1103	213	5	2016	2016	NUM
cuesj-1103	213	6	.	.	PUNCT
cuesj-1103	214	1	10	10	NUM
cuesj-1103	214	2	.	.	PUNCT
cuesj-1103	215	1	t.	t.	PROPN
cuesj-1103	215	2	i.	i.	PROPN
cuesj-1103	215	3	hassan	hassan	PROPN
cuesj-1103	215	4	.	.	PUNCT
cuesj-1103	216	1	an	an	DET
cuesj-1103	216	2	approximate	approximate	ADJ
cuesj-1103	216	3	solutions	solution	NOUN
cuesj-1103	216	4	of	of	ADP
cuesj-1103	216	5	two	two	NUM
cuesj-1103	216	6	dimension	dimension	NOUN
cuesj-1103	216	7	linear	linear	PROPN
cuesj-1103	216	8	mixed	mixed	PROPN
cuesj-1103	216	9	volterra	volterra	NOUN
cuesj-1103	216	10	-	-	PUNCT
cuesj-1103	216	11	fredholm	fredholm	NOUN
cuesj-1103	216	12	integral	integral	ADJ
cuesj-1103	216	13	equation	equation	NOUN
cuesj-1103	216	14	of	of	ADP
cuesj-1103	216	15	the	the	DET
cuesj-1103	216	16	second	second	ADJ
cuesj-1103	216	17	kind	kind	NOUN
cuesj-1103	216	18	via	via	ADP
cuesj-1103	216	19	iterative	iterative	ADJ
cuesj-1103	216	20	kernel	kernel	PROPN
cuesj-1103	216	21	method	method	PROPN
cuesj-1103	216	22	.	.	PUNCT
cuesj-1103	217	1	journal	journal	NOUN
cuesj-1103	217	2	of	of	ADP
cuesj-1103	217	3	raparin	raparin	PROPN
cuesj-1103	217	4	university	university	PROPN
cuesj-1103	217	5	,	,	PUNCT
cuesj-1103	217	6	vol	vol	NOUN
cuesj-1103	217	7	.	.	PROPN
cuesj-1103	217	8	6	6	NUM
cuesj-1103	217	9	,	,	PUNCT
cuesj-1103	217	10	no	no	INTJ
cuesj-1103	217	11	.	.	NOUN
cuesj-1103	217	12	2	2	NUM
cuesj-1103	217	13	,	,	PUNCT
cuesj-1103	217	14	pp	pp	ADJ
cuesj-1103	217	15	.	.	PUNCT
cuesj-1103	218	1	101	101	NUM
cuesj-1103	218	2	-	-	SYM
cuesj-1103	218	3	110	110	NUM
cuesj-1103	218	4	,	,	PUNCT
cuesj-1103	218	5	2019	2019	NUM
cuesj-1103	218	6	.	.	PUNCT
cuesj-1103	219	1	11	11	NUM
cuesj-1103	219	2	.	.	PUNCT
cuesj-1103	220	1	h.	h.	PROPN
cuesj-1103	220	2	ibrahim	ibrahim	PROPN
cuesj-1103	220	3	,	,	PUNCT
cuesj-1103	220	4	f.	f.	PROPN
cuesj-1103	220	5	attah	attah	PROPN
cuesj-1103	220	6	and	and	CCONJ
cuesj-1103	220	7	t.	t.	NOUN
cuesj-1103	220	8	gyegwe	gyegwe	NOUN
cuesj-1103	220	9	.	.	PUNCT
cuesj-1103	221	1	on	on	ADP
cuesj-1103	221	2	the	the	DET
cuesj-1103	221	3	solution	solution	NOUN
cuesj-1103	221	4	of	of	ADP
cuesj-1103	221	5	volterra	volterra	NOUN
cuesj-1103	221	6	fredholm	fredholm	NOUN
cuesj-1103	221	7	and	and	CCONJ
cuesj-1103	221	8	mixed	mixed	ADJ
cuesj-1103	221	9	volterra	volterra	NOUN
cuesj-1103	221	10	-	-	PUNCT
cuesj-1103	221	11	fredholm	fredholm	NOUN
cuesj-1103	221	12	integral	integral	ADJ
cuesj-1103	221	13	equations	equation	NOUN
cuesj-1103	221	14	using	use	VERB
cuesj-1103	221	15	the	the	DET
cuesj-1103	221	16	new	new	ADJ
cuesj-1103	221	17	iterative	iterative	NOUN
cuesj-1103	221	18	method	method	NOUN
cuesj-1103	221	19	.	.	PUNCT
cuesj-1103	222	1	journal	journal	NOUN
cuesj-1103	222	2	of	of	ADP
cuesj-1103	222	3	applied	apply	VERB
cuesj-1103	222	4	mathematics	mathematic	NOUN
cuesj-1103	222	5	,	,	PUNCT
cuesj-1103	222	6	vol	vol	NOUN
cuesj-1103	222	7	.	.	PROPN
cuesj-1103	222	8	6	6	NUM
cuesj-1103	222	9	,	,	PUNCT
cuesj-1103	222	10	no	no	INTJ
cuesj-1103	222	11	.	.	NOUN
cuesj-1103	222	12	1	1	NUM
cuesj-1103	222	13	,	,	PUNCT
cuesj-1103	222	14	pp	pp	ADJ
cuesj-1103	222	15	.	.	PUNCT
cuesj-1103	223	1	1	1	NUM
cuesj-1103	223	2	-	-	SYM
cuesj-1103	223	3	5	5	NUM
cuesj-1103	223	4	,	,	PUNCT
cuesj-1103	223	5	2016	2016	NUM
cuesj-1103	223	6	.	.	PUNCT
cuesj-1103	224	1	12	12	NUM
cuesj-1103	224	2	.	.	PUNCT
cuesj-1103	225	1	h.	h.	PROPN
cuesj-1103	225	2	m.	m.	PROPN
cuesj-1103	225	3	mehdi	mehdi	PROPN
cuesj-1103	225	4	and	and	CCONJ
cuesj-1103	225	5	r.	r.	PROPN
cuesj-1103	225	6	k.	k.	PROPN
cuesj-1103	225	7	saeed	saeed	PROPN
cuesj-1103	225	8	.	.	PUNCT
cuesj-1103	226	1	numerical	numerical	ADJ
cuesj-1103	226	2	solution	solution	NOUN
cuesj-1103	226	3	of	of	ADP
cuesj-1103	226	4	system	system	NOUN
cuesj-1103	226	5	of	of	ADP
cuesj-1103	226	6	two	two	NUM
cuesj-1103	226	7	-	-	PUNCT
cuesj-1103	226	8	dimensional	dimensional	ADJ
cuesj-1103	226	9	linear	linear	ADJ
cuesj-1103	226	10	fredholm	fredholm	NOUN
cuesj-1103	226	11	integral	integral	ADJ
cuesj-1103	226	12	equations	equation	NOUN
cuesj-1103	226	13	of	of	ADP
cuesj-1103	226	14	the	the	DET
cuesj-1103	226	15	second	second	ADJ
cuesj-1103	226	16	kind	kind	NOUN
cuesj-1103	226	17	by	by	ADP
cuesj-1103	226	18	adomian	adomian	NOUN
cuesj-1103	226	19	decomposition	decomposition	NOUN
cuesj-1103	226	20	method	method	NOUN
cuesj-1103	226	21	.	.	PUNCT
cuesj-1103	227	1	journal	journal	NOUN
cuesj-1103	227	2	of	of	ADP
cuesj-1103	227	3	pure	pure	ADJ
cuesj-1103	227	4	and	and	CCONJ
cuesj-1103	227	5	applied	applied	ADJ
cuesj-1103	227	6	sciences	science	NOUN
cuesj-1103	227	7	,	,	PUNCT
cuesj-1103	227	8	vol	vol	NOUN
cuesj-1103	227	9	.	.	PROPN
cuesj-1103	227	10	1	1	NUM
cuesj-1103	227	11	,	,	PUNCT
cuesj-1103	227	12	no	no	INTJ
cuesj-1103	227	13	.	.	NOUN
cuesj-1103	227	14	4	4	NUM
cuesj-1103	227	15	,	,	PUNCT
cuesj-1103	227	16	pp	pp	ADJ
cuesj-1103	227	17	.	.	PUNCT
cuesj-1103	228	1	30	30	NUM
cuesj-1103	228	2	-	-	SYM
cuesj-1103	228	3	34	34	NUM
cuesj-1103	228	4	,	,	PUNCT
cuesj-1103	228	5	2011	2011	NUM
cuesj-1103	228	6	.	.	PUNCT
cuesj-1103	229	1	13	13	NUM
cuesj-1103	229	2	.	.	PUNCT
cuesj-1103	230	1	t.	t.	PROPN
cuesj-1103	230	2	i.	i.	PROPN
cuesj-1103	230	3	hassan	hassan	PROPN
cuesj-1103	230	4	.	.	PUNCT
cuesj-1103	231	1	iterative	iterative	ADJ
cuesj-1103	231	2	kernel	kernel	PROPN
cuesj-1103	231	3	technique	technique	NOUN
cuesj-1103	231	4	to	to	PART
cuesj-1103	231	5	solve	solve	VERB
cuesj-1103	231	6	system	system	NOUN
cuesj-1103	231	7	fredholm	fredholm	NOUN
cuesj-1103	231	8	integral	integral	ADJ
cuesj-1103	231	9	equation	equation	NOUN
cuesj-1103	231	10	first	first	ADV
cuesj-1103	231	11	kind	kind	NOUN
cuesj-1103	231	12	for	for	ADP
cuesj-1103	231	13	degenerate	degenerate	ADJ
cuesj-1103	231	14	kernel	kernel	NOUN
cuesj-1103	231	15	.	.	PUNCT
cuesj-1103	232	1	journal	journal	PROPN
cuesj-1103	232	2	of	of	ADP
cuesj-1103	232	3	erbil	erbil	PROPN
cuesj-1103	232	4	polytechnics	polytechnics	PROPN
cuesj-1103	232	5	university	university	PROPN
cuesj-1103	232	6	,	,	PUNCT
cuesj-1103	232	7	vol	vol	NOUN
cuesj-1103	232	8	.	.	PROPN
cuesj-1103	232	9	12	12	NUM
cuesj-1103	232	10	,	,	PUNCT
cuesj-1103	232	11	no	no	INTJ
cuesj-1103	232	12	.	.	NOUN
cuesj-1103	232	13	1	1	NUM
cuesj-1103	232	14	,	,	PUNCT
cuesj-1103	232	15	pp	pp	ADJ
cuesj-1103	232	16	.	.	PUNCT
cuesj-1103	233	1	150	150	NUM
cuesj-1103	233	2	-	-	SYM
cuesj-1103	233	3	158	158	NUM
cuesj-1103	233	4	,	,	PUNCT
cuesj-1103	233	5	2023	2023	NUM
cuesj-1103	233	6	.	.	PUNCT
cuesj-1103	234	1	14	14	NUM
cuesj-1103	234	2	.	.	PUNCT
cuesj-1103	235	1	z.	z.	PROPN
cuesj-1103	235	2	qian	qian	PROPN
cuesj-1103	235	3	and	and	CCONJ
cuesj-1103	235	4	w.	w.	PROPN
cuesj-1103	235	5	chew	chew	PROPN
cuesj-1103	235	6	.	.	PUNCT
cuesj-1103	236	1	fast	fast	ADJ
cuesj-1103	236	2	full	full	ADJ
cuesj-1103	236	3	-	-	PUNCT
cuesj-1103	236	4	wave	wave	NOUN
cuesj-1103	236	5	surface	surface	NOUN
cuesj-1103	236	6	integral	integral	ADJ
cuesj-1103	236	7	equation	equation	NOUN
cuesj-1103	236	8	solver	solver	VERB
cuesj-1103	236	9	for	for	ADP
cuesj-1103	236	10	multi	multi	ADJ
cuesj-1103	236	11	-	-	ADJ
cuesj-1103	236	12	scale	scale	ADJ
cuesj-1103	236	13	structure	structure	NOUN
cuesj-1103	236	14	modeling	modeling	NOUN
cuesj-1103	236	15	.	.	PUNCT
cuesj-1103	237	1	ieee	ieee	NOUN
cuesj-1103	237	2	transactions	transaction	NOUN
cuesj-1103	237	3	antennas	antennas	PROPN
cuesj-1103	237	4	propagation	propagation	NOUN
cuesj-1103	237	5	,	,	PUNCT
cuesj-1103	237	6	vol	vol	NOUN
cuesj-1103	237	7	.	.	PROPN
cuesj-1103	237	8	57	57	NUM
cuesj-1103	237	9	,	,	PUNCT
cuesj-1103	237	10	no	no	INTJ
cuesj-1103	237	11	.	.	NOUN
cuesj-1103	237	12	11	11	NUM
cuesj-1103	237	13	,	,	PUNCT
cuesj-1103	237	14	pp	pp	ADJ
cuesj-1103	237	15	.	.	PUNCT
cuesj-1103	238	1	3594	3594	NUM
cuesj-1103	238	2	-	-	SYM
cuesj-1103	238	3	3602	3602	NUM
cuesj-1103	238	4	,	,	PUNCT
cuesj-1103	238	5	2009	2009	NUM
cuesj-1103	238	6	.	.	PUNCT
cuesj-1103	239	1	15	15	NUM
cuesj-1103	239	2	.	.	PUNCT
cuesj-1103	239	3	h.	h.	PROPN
cuesj-1103	239	4	i.	i.	PROPN
cuesj-1103	239	5	talaat	talaat	PROPN
cuesj-1103	239	6	i.	i.	PROPN
cuesj-1103	239	7	h.	h.	PROPN
cuesj-1103	239	8	chiman	chiman	PROPN
cuesj-1103	239	9	.	.	PUNCT
cuesj-1103	240	1	proposing	propose	VERB
cuesj-1103	240	2	adomian	adomian	NOUN
cuesj-1103	240	3	decomposition	decomposition	NOUN
cuesj-1103	240	4	method	method	NOUN
cuesj-1103	240	5	to	to	PART
cuesj-1103	240	6	treat	treat	VERB
cuesj-1103	240	7	two	two	NUM
cuesj-1103	240	8	dimensional	dimensional	ADJ
cuesj-1103	240	9	inhomogeneous	inhomogeneous	ADJ
cuesj-1103	240	10	mixed	mixed	ADJ
cuesj-1103	240	11	volterrafredholm	volterrafredholm	NOUN
cuesj-1103	240	12	integral	integral	ADJ
cuesj-1103	240	13	equation	equation	NOUN
cuesj-1103	240	14	.	.	PUNCT
cuesj-1103	241	1	ieee	ieee	PROPN
cuesj-1103	241	2	,	,	PUNCT
cuesj-1103	241	3	new	new	PROPN
cuesj-1103	241	4	jersey	jersey	PROPN
cuesj-1103	241	5	,	,	PUNCT
cuesj-1103	241	6	pp	pp	PROPN
cuesj-1103	241	7	.	.	PUNCT
cuesj-1103	241	8	49	49	NUM
cuesj-1103	241	9	-	-	SYM
cuesj-1103	241	10	53	53	NUM
cuesj-1103	241	11	,	,	PUNCT
cuesj-1103	241	12	2022	2022	NUM
cuesj-1103	241	13	.	.	PUNCT
cuesj-1103	242	1	16	16	NUM
cuesj-1103	242	2	.	.	PUNCT
cuesj-1103	243	1	h.	h.	PROPN
cuesj-1103	243	2	i.	i.	PROPN
cuesj-1103	243	3	talaat	talaat	PROPN
cuesj-1103	243	4	.	.	PUNCT
cuesj-1103	244	1	studying	study	VERB
cuesj-1103	244	2	the	the	DET
cuesj-1103	244	3	stability	stability	NOUN
cuesj-1103	244	4	for	for	ADP
cuesj-1103	244	5	two	two	NUM
cuesj-1103	244	6	dimension	dimension	NOUN
cuesj-1103	244	7	volterra	volterra	NOUN
cuesj-1103	244	8	fredholm	fredholm	VERB
cuesj-1103	244	9	integral	integral	ADJ
cuesj-1103	244	10	equations	equation	NOUN
cuesj-1103	244	11	of	of	ADP
cuesj-1103	244	12	the	the	DET
cuesj-1103	244	13	second	second	ADJ
cuesj-1103	244	14	kind	kind	NOUN
cuesj-1103	244	15	.	.	PUNCT
cuesj-1103	245	1	in	in	ADP
cuesj-1103	245	2	:	:	PUNCT
cuesj-1103	245	3	aip	aip	PROPN
cuesj-1103	245	4	conference	conference	NOUN
cuesj-1103	245	5	proceedings	proceeding	NOUN
cuesj-1103	245	6	,	,	PUNCT
cuesj-1103	245	7	2023	2023	NUM
cuesj-1103	245	8	.	.	PUNCT
cuesj-1103	246	1	17	17	NUM
cuesj-1103	246	2	.	.	PUNCT
cuesj-1103	247	1	j.	j.	PROPN
cuesj-1103	247	2	zhao	zhao	PROPN
cuesj-1103	247	3	and	and	CCONJ
cuesj-1103	247	4	w.	w.	PROPN
cuesj-1103	247	5	c.	c.	PROPN
cuesj-1103	247	6	chew	chew	VERB
cuesj-1103	247	7	.	.	PUNCT
cuesj-1103	248	1	integral	integral	ADJ
cuesj-1103	248	2	equation	equation	NOUN
cuesj-1103	248	3	solution	solution	NOUN
cuesj-1103	248	4	of	of	ADP
cuesj-1103	248	5	maxwell	maxwell	PROPN
cuesj-1103	248	6	’s	’s	PART
cuesj-1103	248	7	equations	equation	NOUN
cuesj-1103	248	8	from	from	ADP
cuesj-1103	248	9	zero	zero	NUM
cuesj-1103	248	10	frequency	frequency	NOUN
cuesj-1103	248	11	to	to	ADP
cuesj-1103	248	12	microwave	microwave	NOUN
cuesj-1103	248	13	frequencies	frequency	NOUN
cuesj-1103	248	14	.	.	PUNCT
cuesj-1103	249	1	ieee	ieee	NOUN
cuesj-1103	249	2	transactions	transaction	NOUN
cuesj-1103	249	3	antennas	antennas	PROPN
cuesj-1103	249	4	propagation	propagation	NOUN
cuesj-1103	249	5	,	,	PUNCT
cuesj-1103	249	6	vol	vol	NOUN
cuesj-1103	249	7	.	.	PROPN
cuesj-1103	249	8	48	48	NUM
cuesj-1103	249	9	,	,	PUNCT
cuesj-1103	249	10	no	no	INTJ
cuesj-1103	249	11	.	.	NOUN
cuesj-1103	249	12	10	10	NUM
cuesj-1103	249	13	,	,	PUNCT
cuesj-1103	249	14	pp	pp	ADJ
cuesj-1103	249	15	.	.	PUNCT
cuesj-1103	249	16	16351646	16351646	NUM
cuesj-1103	249	17	,	,	PUNCT
cuesj-1103	249	18	2000	2000	NUM
cuesj-1103	249	19	.	.	PUNCT