id	sid	tid	token	lemma	pos
ejpam-4020	1	1	european	european	PROPN
ejpam-4020	1	2	journal	journal	PROPN
ejpam-4020	1	3	of	of	ADP
ejpam-4020	1	4	pure	pure	ADJ
ejpam-4020	1	5	and	and	CCONJ
ejpam-4020	1	6	applied	apply	VERB
ejpam-4020	1	7	mathematics	mathematic	NOUN
ejpam-4020	1	8	vol	vol	NOUN
ejpam-4020	1	9	.	.	PUNCT
ejpam-4020	2	1	14	14	NUM
ejpam-4020	2	2	,	,	PUNCT
ejpam-4020	2	3	no	no	INTJ
ejpam-4020	2	4	.	.	NOUN
ejpam-4020	2	5	3	3	NUM
ejpam-4020	2	6	,	,	PUNCT
ejpam-4020	2	7	2021	2021	NUM
ejpam-4020	2	8	,	,	PUNCT
ejpam-4020	2	9	969	969	NUM
ejpam-4020	2	10	-	-	SYM
ejpam-4020	2	11	979	979	NUM
ejpam-4020	2	12	issn	issn	PROPN
ejpam-4020	2	13	1307	1307	NUM
ejpam-4020	2	14	-	-	SYM
ejpam-4020	2	15	5543	5543	NUM
ejpam-4020	2	16	–	–	PUNCT
ejpam-4020	2	17	ejpam.com	ejpam.com	X
ejpam-4020	2	18	published	publish	VERB
ejpam-4020	2	19	by	by	ADP
ejpam-4020	2	20	new	new	PROPN
ejpam-4020	2	21	york	york	PROPN
ejpam-4020	2	22	business	business	PROPN
ejpam-4020	2	23	global	global	ADJ
ejpam-4020	2	24	generalized	generalize	VERB
ejpam-4020	2	25	iteration	iteration	NOUN
ejpam-4020	2	26	method	method	NOUN
ejpam-4020	2	27	for	for	ADP
ejpam-4020	2	28	the	the	DET
ejpam-4020	2	29	solution	solution	NOUN
ejpam-4020	2	30	of	of	ADP
ejpam-4020	2	31	fourth	fourth	ADJ
ejpam-4020	2	32	order	order	NOUN
ejpam-4020	2	33	bvp	bvp	NOUN
ejpam-4020	2	34	via	via	ADP
ejpam-4020	2	35	green′s	green′s	PROPN
ejpam-4020	2	36	function	function	PROPN
ejpam-4020	2	37	fatma	fatma	PROPN
ejpam-4020	2	38	aydin	aydin	PROPN
ejpam-4020	2	39	akgun1,∗	akgun1,∗	PROPN
ejpam-4020	2	40	,	,	PUNCT
ejpam-4020	2	41	zaur	zaur	NOUN
ejpam-4020	2	42	rasulov2	rasulov2	PROPN
ejpam-4020	2	43	1	1	NUM
ejpam-4020	2	44	yildiz	yildiz	PROPN
ejpam-4020	2	45	technical	technical	PROPN
ejpam-4020	2	46	university	university	PROPN
ejpam-4020	2	47	,	,	PUNCT
ejpam-4020	2	48	mathematical	mathematical	ADJ
ejpam-4020	2	49	engineering	engineering	NOUN
ejpam-4020	2	50	department	department	PROPN
ejpam-4020	2	51	,	,	PUNCT
ejpam-4020	2	52	davutpasa	davutpasa	NOUN
ejpam-4020	2	53	campus	campus	PROPN
ejpam-4020	2	54	,	,	PUNCT
ejpam-4020	2	55	34210	34210	NUM
ejpam-4020	2	56	,	,	PUNCT
ejpam-4020	2	57	istanbul	istanbul	PROPN
ejpam-4020	2	58	,	,	PUNCT
ejpam-4020	2	59	turkey	turkey	PROPN
ejpam-4020	2	60	abstract	abstract	NOUN
ejpam-4020	2	61	.	.	PUNCT
ejpam-4020	3	1	the	the	DET
ejpam-4020	3	2	aim	aim	NOUN
ejpam-4020	3	3	of	of	ADP
ejpam-4020	3	4	this	this	DET
ejpam-4020	3	5	paper	paper	NOUN
ejpam-4020	3	6	is	be	AUX
ejpam-4020	3	7	to	to	PART
ejpam-4020	3	8	extend	extend	VERB
ejpam-4020	3	9	and	and	CCONJ
ejpam-4020	3	10	generalize	generalize	VERB
ejpam-4020	3	11	picard	picard	NOUN
ejpam-4020	3	12	-	-	PUNCT
ejpam-4020	3	13	green	green	PROPN
ejpam-4020	3	14	’s	’s	PART
ejpam-4020	3	15	fixed	fix	VERB
ejpam-4020	3	16	point	point	NOUN
ejpam-4020	3	17	iteration	iteration	NOUN
ejpam-4020	3	18	method	method	NOUN
ejpam-4020	3	19	for	for	ADP
ejpam-4020	3	20	the	the	DET
ejpam-4020	3	21	solution	solution	NOUN
ejpam-4020	3	22	of	of	ADP
ejpam-4020	3	23	fourth	fourth	ADJ
ejpam-4020	3	24	-	-	PUNCT
ejpam-4020	3	25	order	order	NOUN
ejpam-4020	3	26	boundary	boundary	ADJ
ejpam-4020	3	27	value	value	NOUN
ejpam-4020	3	28	problems	problem	NOUN
ejpam-4020	3	29	.	.	PUNCT
ejpam-4020	4	1	several	several	ADJ
ejpam-4020	4	2	numerical	numerical	ADJ
ejpam-4020	4	3	applications	application	NOUN
ejpam-4020	4	4	to	to	PART
ejpam-4020	4	5	linear	linear	VERB
ejpam-4020	4	6	and	and	CCONJ
ejpam-4020	4	7	nonlinear	nonlinear	ADJ
ejpam-4020	4	8	fourth	fourth	ADJ
ejpam-4020	4	9	-	-	PUNCT
ejpam-4020	4	10	order	order	NOUN
ejpam-4020	4	11	boundary	boundary	ADJ
ejpam-4020	4	12	value	value	NOUN
ejpam-4020	4	13	problems	problem	NOUN
ejpam-4020	4	14	are	be	AUX
ejpam-4020	4	15	discussed	discuss	VERB
ejpam-4020	4	16	to	to	PART
ejpam-4020	4	17	illustrate	illustrate	VERB
ejpam-4020	4	18	the	the	DET
ejpam-4020	4	19	main	main	ADJ
ejpam-4020	4	20	results	result	NOUN
ejpam-4020	4	21	.	.	PUNCT
ejpam-4020	5	1	2020	2020	NUM
ejpam-4020	5	2	mathematics	mathematic	NOUN
ejpam-4020	5	3	subject	subject	NOUN
ejpam-4020	5	4	classifications	classification	NOUN
ejpam-4020	5	5	:	:	PUNCT
ejpam-4020	5	6	47j26	47j26	NUM
ejpam-4020	5	7	,	,	PUNCT
ejpam-4020	5	8	41a25	41a25	NUM
ejpam-4020	5	9	key	key	ADJ
ejpam-4020	5	10	words	word	NOUN
ejpam-4020	5	11	and	and	CCONJ
ejpam-4020	5	12	phrases	phrase	NOUN
ejpam-4020	5	13	:	:	PUNCT
ejpam-4020	5	14	boundary	boundary	ADJ
ejpam-4020	5	15	value	value	NOUN
ejpam-4020	5	16	problem	problem	NOUN
ejpam-4020	5	17	,	,	PUNCT
ejpam-4020	5	18	fixed	fix	VERB
ejpam-4020	5	19	point	point	NOUN
ejpam-4020	5	20	iteration	iteration	NOUN
ejpam-4020	5	21	method	method	NOUN
ejpam-4020	5	22	,	,	PUNCT
ejpam-4020	5	23	green	green	PROPN
ejpam-4020	5	24	’s	’s	PART
ejpam-4020	5	25	function	function	NOUN
ejpam-4020	5	26	,	,	PUNCT
ejpam-4020	5	27	integral	integral	ADJ
ejpam-4020	5	28	operator	operator	NOUN
ejpam-4020	5	29	,	,	PUNCT
ejpam-4020	5	30	rate	rate	NOUN
ejpam-4020	5	31	of	of	ADP
ejpam-4020	5	32	convergence	convergence	NOUN
ejpam-4020	5	33	1	1	NUM
ejpam-4020	5	34	.	.	PUNCT
ejpam-4020	5	35	introduction	introduction	NOUN
ejpam-4020	5	36	an	an	DET
ejpam-4020	5	37	iterative	iterative	NOUN
ejpam-4020	5	38	method	method	NOUN
ejpam-4020	5	39	is	be	AUX
ejpam-4020	5	40	an	an	DET
ejpam-4020	5	41	important	important	ADJ
ejpam-4020	5	42	tool	tool	NOUN
ejpam-4020	5	43	for	for	ADP
ejpam-4020	5	44	solving	solve	VERB
ejpam-4020	5	45	linear	linear	NOUN
ejpam-4020	5	46	and	and	CCONJ
ejpam-4020	5	47	nonlinear	nonlinear	ADJ
ejpam-4020	5	48	boundary	boundary	ADJ
ejpam-4020	5	49	value	value	NOUN
ejpam-4020	5	50	problems	problem	NOUN
ejpam-4020	5	51	(	(	PUNCT
ejpam-4020	5	52	bvps	bvps	NOUN
ejpam-4020	5	53	)	)	PUNCT
ejpam-4020	5	54	.	.	PUNCT
ejpam-4020	6	1	it	it	PRON
ejpam-4020	6	2	has	have	AUX
ejpam-4020	6	3	been	be	AUX
ejpam-4020	6	4	used	use	VERB
ejpam-4020	6	5	in	in	ADP
ejpam-4020	6	6	the	the	DET
ejpam-4020	6	7	research	research	NOUN
ejpam-4020	6	8	areas	area	NOUN
ejpam-4020	6	9	of	of	ADP
ejpam-4020	6	10	mathematics	mathematic	NOUN
ejpam-4020	6	11	and	and	CCONJ
ejpam-4020	6	12	several	several	ADJ
ejpam-4020	6	13	branches	branch	NOUN
ejpam-4020	6	14	of	of	ADP
ejpam-4020	6	15	science	science	NOUN
ejpam-4020	6	16	and	and	CCONJ
ejpam-4020	6	17	other	other	ADJ
ejpam-4020	6	18	fields	field	NOUN
ejpam-4020	6	19	.	.	PUNCT
ejpam-4020	7	1	in	in	ADP
ejpam-4020	7	2	recent	recent	ADJ
ejpam-4020	7	3	years	year	NOUN
ejpam-4020	7	4	,	,	PUNCT
ejpam-4020	7	5	the	the	DET
ejpam-4020	7	6	study	study	NOUN
ejpam-4020	7	7	of	of	ADP
ejpam-4020	7	8	generalization	generalization	NOUN
ejpam-4020	7	9	for	for	ADP
ejpam-4020	7	10	the	the	DET
ejpam-4020	7	11	solution	solution	NOUN
ejpam-4020	7	12	of	of	ADP
ejpam-4020	7	13	third	third	ADJ
ejpam-4020	7	14	and	and	CCONJ
ejpam-4020	7	15	fourth	fourth	ADJ
ejpam-4020	7	16	-	-	PUNCT
ejpam-4020	7	17	order	order	NOUN
ejpam-4020	7	18	bvps	bvps	NOUN
ejpam-4020	7	19	has	have	AUX
ejpam-4020	7	20	attracted	attract	VERB
ejpam-4020	7	21	many	many	ADJ
ejpam-4020	7	22	scientists	scientist	NOUN
ejpam-4020	7	23	’	'	PUNCT
ejpam-4020	7	24	interest	interest	NOUN
ejpam-4020	7	25	.	.	PUNCT
ejpam-4020	8	1	for	for	ADP
ejpam-4020	8	2	instance	instance	NOUN
ejpam-4020	8	3	,	,	PUNCT
ejpam-4020	8	4	in	in	ADP
ejpam-4020	8	5	mathematical	mathematical	ADJ
ejpam-4020	8	6	modeling	modeling	NOUN
ejpam-4020	8	7	applications	application	NOUN
ejpam-4020	8	8	of	of	ADP
ejpam-4020	8	9	a	a	DET
ejpam-4020	8	10	two	two	NUM
ejpam-4020	8	11	-	-	PUNCT
ejpam-4020	8	12	dimensional	dimensional	ADJ
ejpam-4020	8	13	channel	channel	NOUN
ejpam-4020	8	14	with	with	ADP
ejpam-4020	8	15	porous	porous	ADJ
ejpam-4020	8	16	walls	wall	NOUN
ejpam-4020	8	17	,	,	PUNCT
ejpam-4020	8	18	deformation	deformation	NOUN
ejpam-4020	8	19	of	of	ADP
ejpam-4020	8	20	elastic	elastic	ADJ
ejpam-4020	8	21	beams	beam	NOUN
ejpam-4020	8	22	,	,	PUNCT
ejpam-4020	8	23	fluid	fluid	ADJ
ejpam-4020	8	24	dynamics	dynamic	NOUN
ejpam-4020	8	25	.	.	PUNCT
ejpam-4020	9	1	these	these	DET
ejpam-4020	9	2	problems	problem	NOUN
ejpam-4020	9	3	have	have	AUX
ejpam-4020	9	4	been	be	AUX
ejpam-4020	9	5	studied	study	VERB
ejpam-4020	9	6	by	by	ADP
ejpam-4020	9	7	several	several	ADJ
ejpam-4020	9	8	mathematicians(see	mathematicians(see	PROPN
ejpam-4020	9	9	[	[	X
ejpam-4020	9	10	11	11	NUM
ejpam-4020	9	11	]	]	PUNCT
ejpam-4020	9	12	,	,	PUNCT
ejpam-4020	9	13	[	[	X
ejpam-4020	9	14	1	1	NUM
ejpam-4020	9	15	]	]	PUNCT
ejpam-4020	9	16	,	,	PUNCT
ejpam-4020	9	17	[	[	X
ejpam-4020	9	18	4	4	NUM
ejpam-4020	9	19	]	]	PUNCT
ejpam-4020	9	20	,	,	PUNCT
ejpam-4020	9	21	[	[	X
ejpam-4020	9	22	7	7	NUM
ejpam-4020	9	23	]	]	PUNCT
ejpam-4020	9	24	,	,	PUNCT
ejpam-4020	9	25	[	[	X
ejpam-4020	9	26	2	2	NUM
ejpam-4020	9	27	]	]	PUNCT
ejpam-4020	9	28	,	,	PUNCT
ejpam-4020	9	29	[	[	X
ejpam-4020	9	30	3	3	NUM
ejpam-4020	9	31	]	]	PUNCT
ejpam-4020	9	32	,	,	PUNCT
ejpam-4020	9	33	[	[	X
ejpam-4020	9	34	8	8	NUM
ejpam-4020	9	35	]	]	PUNCT
ejpam-4020	9	36	,	,	PUNCT
ejpam-4020	9	37	[	[	X
ejpam-4020	9	38	5	5	NUM
ejpam-4020	9	39	]	]	PUNCT
ejpam-4020	9	40	,	,	PUNCT
ejpam-4020	9	41	[	[	X
ejpam-4020	9	42	15	15	NUM
ejpam-4020	9	43	]	]	PUNCT
ejpam-4020	9	44	,	,	PUNCT
ejpam-4020	9	45	[	[	X
ejpam-4020	9	46	14	14	NUM
ejpam-4020	9	47	]	]	PUNCT
ejpam-4020	9	48	and	and	CCONJ
ejpam-4020	9	49	the	the	DET
ejpam-4020	9	50	references	reference	NOUN
ejpam-4020	9	51	therein	therein	ADV
ejpam-4020	9	52	.	.	PUNCT
ejpam-4020	10	1	[	[	X
ejpam-4020	10	2	11	11	NUM
ejpam-4020	10	3	]	]	PUNCT
ejpam-4020	10	4	converted	convert	VERB
ejpam-4020	10	5	the	the	DET
ejpam-4020	10	6	bvp	bvp	NOUN
ejpam-4020	10	7	to	to	ADP
ejpam-4020	10	8	initial	initial	ADJ
ejpam-4020	10	9	value	value	NOUN
ejpam-4020	10	10	problem	problem	NOUN
ejpam-4020	10	11	(	(	PUNCT
ejpam-4020	10	12	ivp	ivp	NOUN
ejpam-4020	10	13	)	)	PUNCT
ejpam-4020	10	14	and	and	CCONJ
ejpam-4020	10	15	solved	solve	VERB
ejpam-4020	10	16	the	the	DET
ejpam-4020	10	17	linear	linear	ADJ
ejpam-4020	10	18	equation	equation	NOUN
ejpam-4020	10	19	while	while	SCONJ
ejpam-4020	10	20	[	[	X
ejpam-4020	10	21	13	13	NUM
ejpam-4020	10	22	]	]	PUNCT
ejpam-4020	10	23	solved	solve	VERB
ejpam-4020	10	24	the	the	DET
ejpam-4020	10	25	problem	problem	NOUN
ejpam-4020	10	26	by	by	ADP
ejpam-4020	10	27	transforming	transform	VERB
ejpam-4020	10	28	the	the	DET
ejpam-4020	10	29	fourth	fourth	ADJ
ejpam-4020	10	30	-	-	PUNCT
ejpam-4020	10	31	order	order	NOUN
ejpam-4020	10	32	bvp	bvp	NOUN
ejpam-4020	10	33	to	to	ADP
ejpam-4020	10	34	third	third	ADJ
ejpam-4020	10	35	-	-	PUNCT
ejpam-4020	10	36	order	order	NOUN
ejpam-4020	10	37	bvp	bvp	NOUN
ejpam-4020	10	38	and	and	CCONJ
ejpam-4020	10	39	applied	apply	VERB
ejpam-4020	10	40	by	by	ADP
ejpam-4020	10	41	contracting	contract	VERB
ejpam-4020	10	42	mapping	mapping	NOUN
ejpam-4020	10	43	principle	principle	NOUN
ejpam-4020	10	44	.	.	PUNCT
ejpam-4020	11	1	meanwhile	meanwhile	ADV
ejpam-4020	11	2	,	,	PUNCT
ejpam-4020	11	3	[	[	X
ejpam-4020	11	4	6	6	NUM
ejpam-4020	11	5	]	]	PUNCT
ejpam-4020	11	6	applied	apply	VERB
ejpam-4020	11	7	the	the	DET
ejpam-4020	11	8	contracting	contracting	NOUN
ejpam-4020	11	9	mapping	mapping	NOUN
ejpam-4020	11	10	principle	principle	NOUN
ejpam-4020	11	11	to	to	ADP
ejpam-4020	11	12	the	the	DET
ejpam-4020	11	13	fourth	fourth	ADJ
ejpam-4020	11	14	-	-	PUNCT
ejpam-4020	11	15	order	order	NOUN
ejpam-4020	11	16	bvp	bvp	NOUN
ejpam-4020	11	17	.	.	PUNCT
ejpam-4020	12	1	both	both	PRON
ejpam-4020	12	2	of	of	ADP
ejpam-4020	12	3	them	they	PRON
ejpam-4020	12	4	showed	show	VERB
ejpam-4020	12	5	the	the	DET
ejpam-4020	12	6	existence	existence	NOUN
ejpam-4020	12	7	,	,	PUNCT
ejpam-4020	12	8	uniqueness	uniqueness	NOUN
ejpam-4020	12	9	,	,	PUNCT
ejpam-4020	12	10	and	and	CCONJ
ejpam-4020	12	11	convergence	convergence	NOUN
ejpam-4020	12	12	of	of	ADP
ejpam-4020	12	13	the	the	DET
ejpam-4020	12	14	proposed	propose	VERB
ejpam-4020	12	15	methods	method	NOUN
ejpam-4020	12	16	.	.	PUNCT
ejpam-4020	13	1	[	[	X
ejpam-4020	13	2	12	12	NUM
ejpam-4020	13	3	]	]	PUNCT
ejpam-4020	13	4	introduced	introduce	VERB
ejpam-4020	13	5	his	his	PRON
ejpam-4020	13	6	method	method	NOUN
ejpam-4020	13	7	for	for	ADP
ejpam-4020	13	8	ivp	ivp	NOUN
ejpam-4020	13	9	by	by	ADP
ejpam-4020	13	10	showing	show	VERB
ejpam-4020	13	11	the	the	DET
ejpam-4020	13	12	existence	existence	NOUN
ejpam-4020	13	13	and	and	CCONJ
ejpam-4020	13	14	uniqueness	uniqueness	NOUN
ejpam-4020	13	15	for	for	ADP
ejpam-4020	13	16	ordinary	ordinary	ADJ
ejpam-4020	13	17	differential	differential	ADJ
ejpam-4020	13	18	equations	equation	NOUN
ejpam-4020	13	19	,	,	PUNCT
ejpam-4020	13	20	whereas	whereas	SCONJ
ejpam-4020	13	21	[	[	X
ejpam-4020	13	22	10	10	NUM
ejpam-4020	13	23	]	]	PUNCT
ejpam-4020	13	24	introduced	introduce	VERB
ejpam-4020	13	25	his	his	PRON
ejpam-4020	13	26	method	method	NOUN
ejpam-4020	13	27	.	.	PUNCT
ejpam-4020	14	1	[	[	X
ejpam-4020	14	2	9	9	NUM
ejpam-4020	14	3	]	]	PUNCT
ejpam-4020	14	4	considered	consider	VERB
ejpam-4020	14	5	a	a	DET
ejpam-4020	14	6	cantilever	cantilever	NOUN
ejpam-4020	14	7	beam	beam	NOUN
ejpam-4020	14	8	problem	problem	NOUN
ejpam-4020	14	9	in	in	ADP
ejpam-4020	14	10	equilibrium	equilibrium	NOUN
ejpam-4020	14	11	position	position	NOUN
ejpam-4020	14	12	as	as	SCONJ
ejpam-4020	14	13	follows	follow	VERB
ejpam-4020	14	14	:	:	PUNCT
ejpam-4020	14	15	u	u	PROPN
ejpam-4020	14	16	′′′′	′′′′	PROPN
ejpam-4020	14	17	(	(	PUNCT
ejpam-4020	14	18	t	t	PROPN
ejpam-4020	14	19	)	)	PUNCT
ejpam-4020	14	20	=	=	PUNCT
ejpam-4020	14	21	f(t	f(t	NOUN
ejpam-4020	14	22	,	,	PUNCT
ejpam-4020	14	23	u(t	u(t	NOUN
ejpam-4020	14	24	)	)	PUNCT
ejpam-4020	14	25	,	,	PUNCT
ejpam-4020	14	26	u	u	NOUN
ejpam-4020	14	27	′	′	NOUN
ejpam-4020	14	28	(	(	PUNCT
ejpam-4020	14	29	t	t	PROPN
ejpam-4020	14	30	)	)	PUNCT
ejpam-4020	14	31	,	,	PUNCT
ejpam-4020	14	32	u	u	PRON
ejpam-4020	14	33	′′	′′	PROPN
ejpam-4020	14	34	(	(	PUNCT
ejpam-4020	14	35	t	t	PROPN
ejpam-4020	14	36	)	)	PUNCT
ejpam-4020	14	37	,	,	PUNCT
ejpam-4020	14	38	u	u	PRON
ejpam-4020	14	39	′′′	′′′	PROPN
ejpam-4020	14	40	(	(	PUNCT
ejpam-4020	14	41	t	t	PROPN
ejpam-4020	14	42	)	)	PUNCT
ejpam-4020	14	43	)	)	PUNCT
ejpam-4020	14	44	(	(	PUNCT
ejpam-4020	14	45	1	1	X
ejpam-4020	14	46	)	)	PUNCT
ejpam-4020	14	47	∗corresponding	∗corresponde	VERB
ejpam-4020	14	48	author	author	NOUN
ejpam-4020	14	49	.	.	PUNCT
ejpam-4020	15	1	doi	doi	NOUN
ejpam-4020	15	2	:	:	PUNCT
ejpam-4020	15	3	https://doi.org/10.29020/nybg.ejpam.v14i3.4020	https://doi.org/10.29020/nybg.ejpam.v14i3.4020	PROPN
ejpam-4020	15	4	email	email	NOUN
ejpam-4020	15	5	addresses	address	NOUN
ejpam-4020	15	6	:	:	PUNCT
ejpam-4020	15	7	fakgun@yildiz.edu.tr	fakgun@yildiz.edu.tr	PROPN
ejpam-4020	15	8	(	(	PUNCT
ejpam-4020	15	9	f.a	f.a	PROPN
ejpam-4020	15	10	.	.	PROPN
ejpam-4020	15	11	akgun	akgun	PROPN
ejpam-4020	15	12	)	)	PUNCT
ejpam-4020	15	13	,	,	PUNCT
ejpam-4020	15	14	rasulovzaurr@gmail.com	rasulovzaurr@gmail.com	X
ejpam-4020	15	15	(	(	PUNCT
ejpam-4020	15	16	z.	z.	PROPN
ejpam-4020	15	17	rasulov	rasulov	PROPN
ejpam-4020	15	18	)	)	PUNCT
ejpam-4020	15	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4020	16	1	969	969	NUM
ejpam-4020	17	1	©	©	PROPN
ejpam-4020	17	2	2021	2021	NUM
ejpam-4020	17	3	ejpam	ejpam	VERB
ejpam-4020	17	4	all	all	DET
ejpam-4020	17	5	rights	right	NOUN
ejpam-4020	17	6	reserved	reserve	VERB
ejpam-4020	17	7	.	.	PUNCT
ejpam-4020	18	1	f.a.akgun	f.a.akgun	PROPN
ejpam-4020	18	2	,	,	PUNCT
ejpam-4020	18	3	z.	z.	PROPN
ejpam-4020	18	4	rasulov	rasulov	PROPN
ejpam-4020	18	5	/	/	SYM
ejpam-4020	18	6	eur	eur	PROPN
ejpam-4020	18	7	.	.	PUNCT
ejpam-4020	19	1	j.	j.	PROPN
ejpam-4020	19	2	pure	pure	PROPN
ejpam-4020	19	3	appl	appl	PROPN
ejpam-4020	19	4	.	.	PROPN
ejpam-4020	19	5	math	math	PROPN
ejpam-4020	19	6	,	,	PUNCT
ejpam-4020	19	7	14	14	NUM
ejpam-4020	19	8	(	(	PUNCT
ejpam-4020	19	9	3	3	NUM
ejpam-4020	19	10	)	)	PUNCT
ejpam-4020	19	11	(	(	PUNCT
ejpam-4020	19	12	2021	2021	NUM
ejpam-4020	19	13	)	)	PUNCT
ejpam-4020	19	14	,	,	PUNCT
ejpam-4020	19	15	969	969	NUM
ejpam-4020	19	16	-	-	SYM
ejpam-4020	19	17	979	979	NUM
ejpam-4020	19	18	970	970	NUM
ejpam-4020	19	19	subject	subject	NOUN
ejpam-4020	19	20	to	to	ADP
ejpam-4020	19	21	the	the	DET
ejpam-4020	19	22	boundary	boundary	ADJ
ejpam-4020	19	23	conditions	condition	NOUN
ejpam-4020	19	24	:	:	PUNCT
ejpam-4020	19	25	u(0	u(0	NOUN
ejpam-4020	19	26	)	)	PUNCT
ejpam-4020	19	27	=	=	SYM
ejpam-4020	20	1	0	0	NUM
ejpam-4020	20	2	,	,	PUNCT
ejpam-4020	20	3	u	u	NOUN
ejpam-4020	20	4	′	′	NUM
ejpam-4020	20	5	(	(	PUNCT
ejpam-4020	20	6	0	0	NUM
ejpam-4020	20	7	)	)	PUNCT
ejpam-4020	20	8	=	=	SYM
ejpam-4020	20	9	0	0	NUM
ejpam-4020	20	10	,	,	PUNCT
ejpam-4020	20	11	u	u	NOUN
ejpam-4020	20	12	′′	′′	PROPN
ejpam-4020	20	13	(	(	PUNCT
ejpam-4020	20	14	1	1	NUM
ejpam-4020	20	15	)	)	PUNCT
ejpam-4020	20	16	=	=	SYM
ejpam-4020	20	17	0	0	NUM
ejpam-4020	20	18	,	,	PUNCT
ejpam-4020	20	19	u	u	PRON
ejpam-4020	20	20	′′′	′′′	PROPN
ejpam-4020	20	21	(	(	PUNCT
ejpam-4020	20	22	1	1	X
ejpam-4020	20	23	)	)	PUNCT
ejpam-4020	20	24	=	=	SYM
ejpam-4020	20	25	0	0	PUNCT
ejpam-4020	20	26	(	(	PUNCT
ejpam-4020	20	27	2	2	NUM
ejpam-4020	20	28	)	)	PUNCT
ejpam-4020	20	29	where	where	SCONJ
ejpam-4020	20	30	t	t	PROPN
ejpam-4020	20	31	∈	∈	PROPN
ejpam-4020	20	32	(	(	PUNCT
ejpam-4020	20	33	0	0	NUM
ejpam-4020	20	34	,	,	PUNCT
ejpam-4020	20	35	1	1	NUM
ejpam-4020	20	36	)	)	PUNCT
ejpam-4020	20	37	and	and	CCONJ
ejpam-4020	20	38	f	f	X
ejpam-4020	20	39	:	:	PUNCT
ejpam-4020	21	1	[	[	X
ejpam-4020	21	2	0	0	NUM
ejpam-4020	21	3	,	,	PUNCT
ejpam-4020	21	4	1	1	NUM
ejpam-4020	21	5	]	]	SYM
ejpam-4020	21	6	×	×	PROPN
ejpam-4020	21	7	r3	r3	PROPN
ejpam-4020	21	8	+	+	CCONJ
ejpam-4020	21	9	×	×	PROPN
ejpam-4020	21	10	r−	r−	PROPN
ejpam-4020	21	11	→	→	SYM
ejpam-4020	21	12	r+	r+	PRON
ejpam-4020	21	13	is	be	AUX
ejpam-4020	21	14	continuous	continuous	ADJ
ejpam-4020	21	15	.	.	PUNCT
ejpam-4020	22	1	by	by	ADP
ejpam-4020	22	2	assuming	assume	VERB
ejpam-4020	22	3	that	that	SCONJ
ejpam-4020	22	4	f(t	f(t	PROPN
ejpam-4020	22	5	,	,	PUNCT
ejpam-4020	22	6	u	u	NOUN
ejpam-4020	22	7	,	,	PUNCT
ejpam-4020	22	8	x	x	PROPN
ejpam-4020	22	9	,	,	PUNCT
ejpam-4020	22	10	y	y	PROPN
ejpam-4020	22	11	,	,	PUNCT
ejpam-4020	22	12	z	z	NOUN
ejpam-4020	22	13	)	)	PUNCT
ejpam-4020	22	14	is	be	AUX
ejpam-4020	22	15	superlinear	superlinear	ADJ
ejpam-4020	22	16	on	on	ADP
ejpam-4020	22	17	u	u	PROPN
ejpam-4020	22	18	,	,	PUNCT
ejpam-4020	22	19	x	x	PROPN
ejpam-4020	22	20	,	,	PUNCT
ejpam-4020	22	21	y	y	PROPN
ejpam-4020	22	22	,	,	PUNCT
ejpam-4020	22	23	z	z	NOUN
ejpam-4020	22	24	and	and	CCONJ
ejpam-4020	22	25	satisfying	satisfy	VERB
ejpam-4020	22	26	a	a	DET
ejpam-4020	22	27	nagumo	nagumo	ADJ
ejpam-4020	22	28	-	-	PUNCT
ejpam-4020	22	29	type	type	NOUN
ejpam-4020	22	30	condition	condition	NOUN
ejpam-4020	22	31	,	,	PUNCT
ejpam-4020	22	32	the	the	DET
ejpam-4020	22	33	existence	existence	NOUN
ejpam-4020	22	34	and	and	CCONJ
ejpam-4020	22	35	uniqueness	uniqueness	NOUN
ejpam-4020	22	36	of	of	ADP
ejpam-4020	22	37	the	the	DET
ejpam-4020	22	38	problem	problem	NOUN
ejpam-4020	22	39	eq	eq	ADJ
ejpam-4020	22	40	.	.	PUNCT
ejpam-4020	23	1	(	(	PUNCT
ejpam-4020	23	2	1	1	NUM
ejpam-4020	23	3	)	)	PUNCT
ejpam-4020	23	4	−	−	PROPN
ejpam-4020	23	5	(	(	PUNCT
ejpam-4020	23	6	2	2	X
ejpam-4020	23	7	)	)	PUNCT
ejpam-4020	23	8	are	be	AUX
ejpam-4020	23	9	provided	provide	VERB
ejpam-4020	23	10	in	in	ADP
ejpam-4020	23	11	the	the	DET
ejpam-4020	23	12	same	same	ADJ
ejpam-4020	23	13	article	article	NOUN
ejpam-4020	23	14	.	.	PUNCT
ejpam-4020	24	1	however	however	ADV
ejpam-4020	24	2	,	,	PUNCT
ejpam-4020	24	3	quanq	quanq	VERB
ejpam-4020	24	4	in	in	ADP
ejpam-4020	24	5	[	[	X
ejpam-4020	24	6	6	6	NUM
ejpam-4020	24	7	]	]	PUNCT
ejpam-4020	24	8	showed	show	VERB
ejpam-4020	24	9	that	that	SCONJ
ejpam-4020	24	10	the	the	DET
ejpam-4020	24	11	theorems	theorem	NOUN
ejpam-4020	24	12	in	in	ADP
ejpam-4020	24	13	[	[	X
ejpam-4020	24	14	9	9	NUM
ejpam-4020	24	15	]	]	PUNCT
ejpam-4020	24	16	are	be	AUX
ejpam-4020	24	17	not	not	PART
ejpam-4020	24	18	sufficient	sufficient	ADJ
ejpam-4020	24	19	for	for	ADP
ejpam-4020	24	20	solving	solve	VERB
ejpam-4020	24	21	resembling	resemble	VERB
ejpam-4020	24	22	problems	problem	NOUN
ejpam-4020	24	23	and	and	CCONJ
ejpam-4020	24	24	provided	provide	VERB
ejpam-4020	24	25	some	some	DET
ejpam-4020	24	26	examples	example	NOUN
ejpam-4020	24	27	.	.	PUNCT
ejpam-4020	25	1	in	in	ADP
ejpam-4020	25	2	this	this	DET
ejpam-4020	25	3	paper	paper	NOUN
ejpam-4020	25	4	,	,	PUNCT
ejpam-4020	25	5	we	we	PRON
ejpam-4020	25	6	extend	extend	VERB
ejpam-4020	25	7	and	and	CCONJ
ejpam-4020	25	8	generalize	generalize	VERB
ejpam-4020	25	9	picard	picard	NOUN
ejpam-4020	25	10	-	-	PUNCT
ejpam-4020	25	11	green	green	PROPN
ejpam-4020	25	12	’s	’s	PART
ejpam-4020	25	13	known	know	VERB
ejpam-4020	25	14	iteration	iteration	NOUN
ejpam-4020	25	15	method	method	NOUN
ejpam-4020	25	16	to	to	ADP
ejpam-4020	25	17	fourth	fourth	ADJ
ejpam-4020	25	18	-	-	PUNCT
ejpam-4020	25	19	order	order	NOUN
ejpam-4020	25	20	bvp	bvp	NOUN
ejpam-4020	25	21	.	.	PUNCT
ejpam-4020	26	1	we	we	PRON
ejpam-4020	26	2	proved	prove	VERB
ejpam-4020	26	3	the	the	DET
ejpam-4020	26	4	existence	existence	NOUN
ejpam-4020	26	5	and	and	CCONJ
ejpam-4020	26	6	uniqueness	uniqueness	NOUN
ejpam-4020	26	7	of	of	ADP
ejpam-4020	26	8	theorems	theorem	NOUN
ejpam-4020	26	9	satisfying	satisfy	VERB
ejpam-4020	26	10	necessary	necessary	ADJ
ejpam-4020	26	11	conditions	condition	NOUN
ejpam-4020	26	12	for	for	ADP
ejpam-4020	26	13	convergence	convergence	NOUN
ejpam-4020	26	14	.	.	PUNCT
ejpam-4020	27	1	furthermore	furthermore	ADV
ejpam-4020	27	2	,	,	PUNCT
ejpam-4020	27	3	we	we	PRON
ejpam-4020	27	4	give	give	VERB
ejpam-4020	27	5	some	some	DET
ejpam-4020	27	6	numerical	numerical	ADJ
ejpam-4020	27	7	examples	example	NOUN
ejpam-4020	27	8	,	,	PUNCT
ejpam-4020	27	9	including	include	VERB
ejpam-4020	27	10	linear	linear	PROPN
ejpam-4020	27	11	and	and	CCONJ
ejpam-4020	27	12	nonlinear	nonlinear	ADJ
ejpam-4020	27	13	bvps	bvps	PROPN
ejpam-4020	27	14	,	,	PUNCT
ejpam-4020	27	15	to	to	PART
ejpam-4020	27	16	illustrate	illustrate	VERB
ejpam-4020	27	17	the	the	DET
ejpam-4020	27	18	main	main	ADJ
ejpam-4020	27	19	results	result	NOUN
ejpam-4020	27	20	.	.	PUNCT
ejpam-4020	28	1	finally	finally	ADV
ejpam-4020	28	2	,	,	PUNCT
ejpam-4020	28	3	we	we	PRON
ejpam-4020	28	4	confirm	confirm	VERB
ejpam-4020	28	5	better	well	ADJ
ejpam-4020	28	6	approximation	approximation	NOUN
ejpam-4020	28	7	with	with	ADP
ejpam-4020	28	8	minimum	minimum	ADJ
ejpam-4020	28	9	errors	error	NOUN
ejpam-4020	28	10	than	than	ADP
ejpam-4020	28	11	existing	exist	VERB
ejpam-4020	28	12	solutions	solution	NOUN
ejpam-4020	28	13	by	by	ADP
ejpam-4020	28	14	matlab	matlab	PROPN
ejpam-4020	28	15	.	.	PROPN
ejpam-4020	29	1	2	2	NUM
ejpam-4020	29	2	.	.	X
ejpam-4020	29	3	green	green	PROPN
ejpam-4020	29	4	’s	’s	PART
ejpam-4020	29	5	function	function	NOUN
ejpam-4020	29	6	and	and	CCONJ
ejpam-4020	29	7	methodology	methodology	NOUN
ejpam-4020	29	8	consider	consider	VERB
ejpam-4020	29	9	the	the	DET
ejpam-4020	29	10	following	follow	VERB
ejpam-4020	29	11	fourth	fourth	ADJ
ejpam-4020	29	12	-	-	PUNCT
ejpam-4020	29	13	order	order	NOUN
ejpam-4020	29	14	bvp	bvp	NOUN
ejpam-4020	29	15	,	,	PUNCT
ejpam-4020	29	16	l[u	l[u	NOUN
ejpam-4020	29	17	]	]	X
ejpam-4020	29	18	=	=	PUNCT
ejpam-4020	29	19	p(t)u	p(t)u	PROPN
ejpam-4020	29	20	′′′′	′′′′	PROPN
ejpam-4020	29	21	(	(	PUNCT
ejpam-4020	29	22	t	t	PROPN
ejpam-4020	29	23	)	)	PUNCT
ejpam-4020	30	1	+	+	CCONJ
ejpam-4020	31	1	q(t)u	q(t)u	PROPN
ejpam-4020	31	2	′′′	′′′	PROPN
ejpam-4020	31	3	(	(	PUNCT
ejpam-4020	31	4	t	t	NOUN
ejpam-4020	31	5	)	)	PUNCT
ejpam-4020	31	6	+	+	PUNCT
ejpam-4020	32	1	r(t)u	r(t)u	PROPN
ejpam-4020	33	1	′′	′′	PROPN
ejpam-4020	33	2	(	(	PUNCT
ejpam-4020	33	3	t	t	PROPN
ejpam-4020	33	4	)	)	PUNCT
ejpam-4020	33	5	+	+	CCONJ
ejpam-4020	33	6	h(t)u	h(t)u	PROPN
ejpam-4020	33	7	′	′	NUM
ejpam-4020	33	8	(	(	PUNCT
ejpam-4020	33	9	t	t	PROPN
ejpam-4020	33	10	)	)	PUNCT
ejpam-4020	33	11	+	+	NUM
ejpam-4020	33	12	g(t)u(t	g(t)u(t	NOUN
ejpam-4020	33	13	)	)	PUNCT
ejpam-4020	33	14	=	=	SYM
ejpam-4020	33	15	f(t	f(t	NOUN
ejpam-4020	33	16	)	)	PUNCT
ejpam-4020	33	17	(	(	PUNCT
ejpam-4020	33	18	3	3	X
ejpam-4020	33	19	)	)	PUNCT
ejpam-4020	33	20	with	with	ADP
ejpam-4020	33	21	the	the	DET
ejpam-4020	33	22	boundary	boundary	ADJ
ejpam-4020	33	23	conditions	condition	NOUN
ejpam-4020	33	24	ba[u	ba[u	PROPN
ejpam-4020	33	25	]	]	X
ejpam-4020	33	26	=	=	SYM
ejpam-4020	33	27	α1u(a	α1u(a	PROPN
ejpam-4020	33	28	)	)	PUNCT
ejpam-4020	33	29	+	+	NUM
ejpam-4020	33	30	α2u	α2u	PROPN
ejpam-4020	33	31	′	′	NUM
ejpam-4020	33	32	(	(	PUNCT
ejpam-4020	33	33	a	a	X
ejpam-4020	33	34	)	)	PUNCT
ejpam-4020	33	35	+	+	NUM
ejpam-4020	33	36	α3u	α3u	NUM
ejpam-4020	33	37	′′	′′	PROPN
ejpam-4020	33	38	(	(	PUNCT
ejpam-4020	33	39	a	a	X
ejpam-4020	33	40	)	)	PUNCT
ejpam-4020	33	41	+	+	CCONJ
ejpam-4020	33	42	α4u	α4u	PROPN
ejpam-4020	33	43	′′′	′′′	PROPN
ejpam-4020	33	44	(	(	PUNCT
ejpam-4020	33	45	a	a	X
ejpam-4020	33	46	)	)	PUNCT
ejpam-4020	33	47	=	=	SYM
ejpam-4020	33	48	α	α	PRON
ejpam-4020	33	49	bb[u	bb[u	NOUN
ejpam-4020	33	50	]	]	X
ejpam-4020	33	51	=	=	SYM
ejpam-4020	33	52	β1u(b	β1u(b	PROPN
ejpam-4020	33	53	)	)	PUNCT
ejpam-4020	34	1	+	+	CCONJ
ejpam-4020	34	2	β2u	β2u	SYM
ejpam-4020	34	3	′	′	NUM
ejpam-4020	34	4	u(b	u(b	NOUN
ejpam-4020	34	5	)	)	PUNCT
ejpam-4020	35	1	+	+	PUNCT
ejpam-4020	35	2	β3u	β3u	NUM
ejpam-4020	35	3	′′	′′	PROPN
ejpam-4020	35	4	(	(	PUNCT
ejpam-4020	35	5	b	b	NOUN
ejpam-4020	35	6	)	)	PUNCT
ejpam-4020	35	7	+	+	CCONJ
ejpam-4020	35	8	β4u	β4u	PROPN
ejpam-4020	35	9	′′′	′′′	X
ejpam-4020	35	10	(	(	PUNCT
ejpam-4020	35	11	b	b	X
ejpam-4020	35	12	)	)	PUNCT
ejpam-4020	35	13	=	=	SYM
ejpam-4020	35	14	β	β	X
ejpam-4020	35	15	bc[u	bc[u	NOUN
ejpam-4020	35	16	]	]	X
ejpam-4020	35	17	=	=	PUNCT
ejpam-4020	35	18	γ1u(c	γ1u(c	PROPN
ejpam-4020	35	19	)	)	PUNCT
ejpam-4020	35	20	+	+	NUM
ejpam-4020	35	21	γ2u	γ2u	NOUN
ejpam-4020	35	22	′	′	NOUN
ejpam-4020	35	23	(	(	PUNCT
ejpam-4020	35	24	c	c	NOUN
ejpam-4020	35	25	)	)	PUNCT
ejpam-4020	35	26	+	+	CCONJ
ejpam-4020	35	27	γ3u	γ3u	PROPN
ejpam-4020	35	28	′′	′′	PROPN
ejpam-4020	35	29	(	(	PUNCT
ejpam-4020	35	30	c	c	NOUN
ejpam-4020	35	31	)	)	PUNCT
ejpam-4020	35	32	+	+	CCONJ
ejpam-4020	35	33	γ4u	γ4u	VERB
ejpam-4020	35	34	′′′	′′′	PROPN
ejpam-4020	35	35	(	(	PUNCT
ejpam-4020	35	36	c	c	X
ejpam-4020	35	37	)	)	PUNCT
ejpam-4020	35	38	=	=	SYM
ejpam-4020	35	39	γ	γ	X
ejpam-4020	35	40	bd[u	bd[u	PROPN
ejpam-4020	35	41	]	]	X
ejpam-4020	35	42	=	=	PUNCT
ejpam-4020	35	43	ω1u(c	ω1u(c	PROPN
ejpam-4020	35	44	)	)	PUNCT
ejpam-4020	35	45	+	+	CCONJ
ejpam-4020	35	46	ω2u	ω2u	ADP
ejpam-4020	35	47	′	′	NUM
ejpam-4020	35	48	(	(	PUNCT
ejpam-4020	35	49	c	c	NOUN
ejpam-4020	35	50	)	)	PUNCT
ejpam-4020	35	51	+	+	CCONJ
ejpam-4020	35	52	ω3u	ω3u	PUNCT
ejpam-4020	35	53	′′	′′	PROPN
ejpam-4020	35	54	(	(	PUNCT
ejpam-4020	35	55	c	c	NOUN
ejpam-4020	35	56	)	)	PUNCT
ejpam-4020	35	57	+	+	CCONJ
ejpam-4020	35	58	ω4u	ω4u	SYM
ejpam-4020	35	59	′′′	′′′	PROPN
ejpam-4020	35	60	(	(	PUNCT
ejpam-4020	35	61	c	c	X
ejpam-4020	35	62	)	)	PUNCT
ejpam-4020	35	63	=	=	SYM
ejpam-4020	35	64	ω	ω	NOUN
ejpam-4020	35	65	(	(	PUNCT
ejpam-4020	35	66	4	4	NUM
ejpam-4020	35	67	)	)	PUNCT
ejpam-4020	35	68	where	where	SCONJ
ejpam-4020	35	69	t	t	PROPN
ejpam-4020	35	70	∈	∈	PROPN
ejpam-4020	35	71	(	(	PUNCT
ejpam-4020	35	72	a	a	DET
ejpam-4020	35	73	,	,	PUNCT
ejpam-4020	35	74	b	b	NOUN
ejpam-4020	35	75	)	)	PUNCT
ejpam-4020	35	76	,	,	PUNCT
ejpam-4020	35	77	α	α	X
ejpam-4020	35	78	,	,	PUNCT
ejpam-4020	35	79	β	β	X
ejpam-4020	35	80	,	,	PUNCT
ejpam-4020	35	81	γ	γ	PROPN
ejpam-4020	35	82	and	and	CCONJ
ejpam-4020	35	83	ω	ω	PROPN
ejpam-4020	35	84	are	be	AUX
ejpam-4020	35	85	constants	constant	NOUN
ejpam-4020	35	86	and	and	CCONJ
ejpam-4020	35	87	either	either	PRON
ejpam-4020	35	88	c	c	PROPN
ejpam-4020	35	89	=	=	PUNCT
ejpam-4020	35	90	a	a	PROPN
ejpam-4020	35	91	or	or	CCONJ
ejpam-4020	35	92	c	c	NOUN
ejpam-4020	35	93	=	=	SYM
ejpam-4020	35	94	b	b	PROPN
ejpam-4020	35	95	and	and	CCONJ
ejpam-4020	35	96	either	either	CCONJ
ejpam-4020	35	97	d	d	PROPN
ejpam-4020	35	98	=	=	PUNCT
ejpam-4020	35	99	a	a	PRON
ejpam-4020	35	100	or	or	CCONJ
ejpam-4020	35	101	d	d	NOUN
ejpam-4020	35	102	=	=	PROPN
ejpam-4020	35	103	b.	b.	PROPN
ejpam-4020	35	104	the	the	DET
ejpam-4020	35	105	existence	existence	NOUN
ejpam-4020	35	106	and	and	CCONJ
ejpam-4020	35	107	uniqueness	uniqueness	NOUN
ejpam-4020	35	108	results	result	NOUN
ejpam-4020	35	109	for	for	ADP
ejpam-4020	35	110	the	the	DET
ejpam-4020	35	111	solution	solution	NOUN
ejpam-4020	35	112	of	of	ADP
ejpam-4020	35	113	the	the	DET
ejpam-4020	35	114	problems	problem	NOUN
ejpam-4020	35	115	eq	eq	ADP
ejpam-4020	35	116	.	.	PUNCT
ejpam-4020	36	1	(	(	PUNCT
ejpam-4020	36	2	3)-(4	3)-(4	NUM
ejpam-4020	36	3	)	)	PUNCT
ejpam-4020	36	4	are	be	AUX
ejpam-4020	36	5	given	give	VERB
ejpam-4020	36	6	in	in	ADP
ejpam-4020	36	7	[	[	X
ejpam-4020	36	8	13],[6	13],[6	NOUN
ejpam-4020	36	9	]	]	PUNCT
ejpam-4020	36	10	and	and	CCONJ
ejpam-4020	36	11	[	[	X
ejpam-4020	36	12	3	3	NUM
ejpam-4020	36	13	]	]	PUNCT
ejpam-4020	36	14	.	.	PUNCT
ejpam-4020	37	1	the	the	DET
ejpam-4020	37	2	green	green	PROPN
ejpam-4020	37	3	’s	’s	PART
ejpam-4020	37	4	function	function	PROPN
ejpam-4020	37	5	g(t	g(t	PROPN
ejpam-4020	37	6	,	,	PUNCT
ejpam-4020	37	7	s	s	PART
ejpam-4020	37	8	)	)	PUNCT
ejpam-4020	37	9	corresponding	correspond	VERB
ejpam-4020	37	10	to	to	ADP
ejpam-4020	37	11	linear	linear	ADJ
ejpam-4020	37	12	term	term	NOUN
ejpam-4020	37	13	in	in	ADP
ejpam-4020	37	14	eq	eq	ADP
ejpam-4020	37	15	.	.	PUNCT
ejpam-4020	38	1	(	(	PUNCT
ejpam-4020	38	2	3	3	X
ejpam-4020	38	3	)	)	PUNCT
ejpam-4020	38	4	g(t	g(t	PROPN
ejpam-4020	38	5	,	,	PUNCT
ejpam-4020	38	6	s	s	PART
ejpam-4020	38	7	)	)	PUNCT
ejpam-4020	38	8	=	=	PRON
ejpam-4020	38	9	{	{	PUNCT
ejpam-4020	39	1	a1u1	a1u1	PUNCT
ejpam-4020	40	1	+	+	CCONJ
ejpam-4020	40	2	b1u2	b1u2	PROPN
ejpam-4020	40	3	+	+	SYM
ejpam-4020	40	4	c1u3	c1u3	X
ejpam-4020	40	5	+	+	CCONJ
ejpam-4020	40	6	d1u4	d1u4	ADJ
ejpam-4020	40	7	,	,	PUNCT
ejpam-4020	40	8	a	a	DET
ejpam-4020	40	9	<	<	X
ejpam-4020	40	10	t	t	X
ejpam-4020	40	11	<	<	X
ejpam-4020	40	12	s	s	X
ejpam-4020	40	13	a2u1	a2u1	NOUN
ejpam-4020	40	14	+	+	CCONJ
ejpam-4020	40	15	b2u2	b2u2	PROPN
ejpam-4020	40	16	+	+	NUM
ejpam-4020	40	17	c2u3	c2u3	AUX
ejpam-4020	40	18	+	+	X
ejpam-4020	40	19	d2u4	d2u4	X
ejpam-4020	40	20	,	,	PUNCT
ejpam-4020	40	21	s	s	X
ejpam-4020	40	22	<	<	X
ejpam-4020	40	23	t	t	X
ejpam-4020	40	24	<	<	X
ejpam-4020	40	25	b	b	X
ejpam-4020	40	26	(	(	PUNCT
ejpam-4020	40	27	5	5	NUM
ejpam-4020	40	28	)	)	PUNCT
ejpam-4020	40	29	where	where	SCONJ
ejpam-4020	40	30	t	t	PROPN
ejpam-4020	40	31	6=	6=	SYM
ejpam-4020	40	32	s	s	PROPN
ejpam-4020	40	33	,	,	PUNCT
ejpam-4020	40	34	u1	u1	NOUN
ejpam-4020	40	35	,	,	PUNCT
ejpam-4020	40	36	u2	u2	NOUN
ejpam-4020	40	37	,	,	PUNCT
ejpam-4020	40	38	u3	u3	NOUN
ejpam-4020	40	39	and	and	CCONJ
ejpam-4020	40	40	u4	u4	PROPN
ejpam-4020	40	41	are	be	AUX
ejpam-4020	40	42	linearly	linearly	ADV
ejpam-4020	40	43	independent	independent	ADJ
ejpam-4020	40	44	solutions	solution	NOUN
ejpam-4020	40	45	of	of	ADP
ejpam-4020	40	46	l[u	l[u	NOUN
ejpam-4020	40	47	]	]	PUNCT
ejpam-4020	40	48	and	and	CCONJ
ejpam-4020	40	49	ai	ai	VERB
ejpam-4020	40	50	,	,	PUNCT
ejpam-4020	40	51	bi	bi	NOUN
ejpam-4020	40	52	,	,	PUNCT
ejpam-4020	40	53	ci	ci	PROPN
ejpam-4020	40	54	and	and	CCONJ
ejpam-4020	40	55	di	di	NOUN
ejpam-4020	40	56	,	,	PUNCT
ejpam-4020	40	57	(	(	PUNCT
ejpam-4020	40	58	i	i	NOUN
ejpam-4020	40	59	=	=	NOUN
ejpam-4020	40	60	1	1	NUM
ejpam-4020	40	61	,	,	PUNCT
ejpam-4020	40	62	2	2	NUM
ejpam-4020	40	63	)	)	PUNCT
ejpam-4020	40	64	are	be	AUX
ejpam-4020	40	65	constants	constant	NOUN
ejpam-4020	40	66	.	.	PUNCT
ejpam-4020	41	1	we	we	PRON
ejpam-4020	41	2	follow	follow	VERB
ejpam-4020	41	3	five	five	NUM
ejpam-4020	41	4	conditions	condition	NOUN
ejpam-4020	41	5	to	to	PART
ejpam-4020	41	6	find	find	VERB
ejpam-4020	41	7	the	the	DET
ejpam-4020	41	8	constants	constant	NOUN
ejpam-4020	41	9	and	and	CCONJ
ejpam-4020	41	10	final	final	ADJ
ejpam-4020	41	11	version	version	NOUN
ejpam-4020	41	12	of	of	ADP
ejpam-4020	41	13	green	green	PROPN
ejpam-4020	41	14	’s	’s	PART
ejpam-4020	41	15	function	function	NOUN
ejpam-4020	41	16	of	of	ADP
ejpam-4020	41	17	the	the	DET
ejpam-4020	41	18	fourth	fourth	ADJ
ejpam-4020	41	19	-	-	PUNCT
ejpam-4020	41	20	order	order	NOUN
ejpam-4020	41	21	boundary	boundary	ADJ
ejpam-4020	41	22	value	value	NOUN
ejpam-4020	41	23	problem	problem	NOUN
ejpam-4020	41	24	.	.	PUNCT
ejpam-4020	42	1	1	1	X
ejpam-4020	42	2	.	.	X
ejpam-4020	42	3	g	g	NOUN
ejpam-4020	42	4	satisfies	satisfy	VERB
ejpam-4020	42	5	the	the	DET
ejpam-4020	42	6	homogeneous	homogeneous	ADJ
ejpam-4020	42	7	boundary	boundary	ADJ
ejpam-4020	42	8	conditions	condition	NOUN
ejpam-4020	42	9	;	;	PUNCT
ejpam-4020	42	10	ba[g(t	ba[g(t	PROPN
ejpam-4020	42	11	,	,	PUNCT
ejpam-4020	42	12	s	s	NOUN
ejpam-4020	42	13	)	)	PUNCT
ejpam-4020	42	14	]	]	PUNCT
ejpam-4020	43	1	=	=	PUNCT
ejpam-4020	43	2	bb[g(t	bb[g(t	PROPN
ejpam-4020	43	3	,	,	PUNCT
ejpam-4020	43	4	s	s	NOUN
ejpam-4020	43	5	)	)	PUNCT
ejpam-4020	43	6	]	]	PUNCT
ejpam-4020	44	1	=	=	PUNCT
ejpam-4020	44	2	bc[g(t	bc[g(t	PROPN
ejpam-4020	44	3	,	,	PUNCT
ejpam-4020	44	4	s	s	NOUN
ejpam-4020	44	5	)	)	PUNCT
ejpam-4020	44	6	]	]	PUNCT
ejpam-4020	45	1	=	=	SYM
ejpam-4020	45	2	bd[g(t	bd[g(t	PROPN
ejpam-4020	45	3	,	,	PUNCT
ejpam-4020	45	4	s	s	NOUN
ejpam-4020	45	5	)	)	PUNCT
ejpam-4020	45	6	]	]	PUNCT
ejpam-4020	46	1	=	=	PUNCT
ejpam-4020	46	2	0	0	NUM
ejpam-4020	46	3	,	,	PUNCT
ejpam-4020	46	4	(	(	PUNCT
ejpam-4020	46	5	6	6	NUM
ejpam-4020	46	6	)	)	PUNCT
ejpam-4020	46	7	f.a.akgun	f.a.akgun	NOUN
ejpam-4020	46	8	,	,	PUNCT
ejpam-4020	46	9	z.	z.	PROPN
ejpam-4020	46	10	rasulov	rasulov	PROPN
ejpam-4020	46	11	/	/	SYM
ejpam-4020	46	12	eur	eur	PROPN
ejpam-4020	46	13	.	.	PUNCT
ejpam-4020	47	1	j.	j.	PROPN
ejpam-4020	47	2	pure	pure	PROPN
ejpam-4020	47	3	appl	appl	PROPN
ejpam-4020	47	4	.	.	PROPN
ejpam-4020	47	5	math	math	PROPN
ejpam-4020	47	6	,	,	PUNCT
ejpam-4020	47	7	14	14	NUM
ejpam-4020	47	8	(	(	PUNCT
ejpam-4020	47	9	3	3	NUM
ejpam-4020	47	10	)	)	PUNCT
ejpam-4020	47	11	(	(	PUNCT
ejpam-4020	47	12	2021	2021	NUM
ejpam-4020	47	13	)	)	PUNCT
ejpam-4020	47	14	,	,	PUNCT
ejpam-4020	47	15	969	969	NUM
ejpam-4020	47	16	-	-	SYM
ejpam-4020	47	17	979	979	NUM
ejpam-4020	47	18	971	971	NUM
ejpam-4020	47	19	2	2	NUM
ejpam-4020	47	20	.	.	PUNCT
ejpam-4020	48	1	g	g	PROPN
ejpam-4020	48	2	is	be	AUX
ejpam-4020	48	3	continuous	continuous	ADJ
ejpam-4020	48	4	at	at	ADP
ejpam-4020	48	5	t	t	PROPN
ejpam-4020	48	6	=	=	SYM
ejpam-4020	48	7	s	s	PROPN
ejpam-4020	48	8	;	;	PUNCT
ejpam-4020	48	9	a1u1(s	a1u1(	NOUN
ejpam-4020	48	10	)	)	PUNCT
ejpam-4020	48	11	+	+	PUNCT
ejpam-4020	48	12	b1u2(s	b1u2(s	NOUN
ejpam-4020	48	13	)	)	PUNCT
ejpam-4020	48	14	+	+	X
ejpam-4020	48	15	c1u3(s	c1u3(	NOUN
ejpam-4020	48	16	)	)	PUNCT
ejpam-4020	49	1	+	+	CCONJ
ejpam-4020	49	2	d1u4(s	d1u4(s	X
ejpam-4020	49	3	)	)	PUNCT
ejpam-4020	49	4	=	=	SYM
ejpam-4020	49	5	a2u1(s	a2u1(s	NOUN
ejpam-4020	49	6	)	)	PUNCT
ejpam-4020	49	7	+	+	PUNCT
ejpam-4020	49	8	b2u2(s	b2u2(s	NOUN
ejpam-4020	49	9	)	)	PUNCT
ejpam-4020	49	10	+	+	NUM
ejpam-4020	49	11	c2u3(s	c2u3(	NOUN
ejpam-4020	49	12	)	)	PUNCT
ejpam-4020	49	13	+	+	NUM
ejpam-4020	49	14	d2u4(s	d2u4(s	NOUN
ejpam-4020	49	15	)	)	PUNCT
ejpam-4020	49	16	,	,	PUNCT
ejpam-4020	49	17	(	(	PUNCT
ejpam-4020	49	18	7	7	X
ejpam-4020	49	19	)	)	PUNCT
ejpam-4020	49	20	3	3	NUM
ejpam-4020	49	21	.	.	PUNCT
ejpam-4020	50	1	g	g	NOUN
ejpam-4020	50	2	′	′	NUM
ejpam-4020	50	3	is	be	AUX
ejpam-4020	50	4	continuous	continuous	ADJ
ejpam-4020	50	5	at	at	ADP
ejpam-4020	50	6	t	t	PROPN
ejpam-4020	50	7	=	=	SYM
ejpam-4020	50	8	s	s	PROPN
ejpam-4020	50	9	;	;	PUNCT
ejpam-4020	50	10	a1u	a1u	PROPN
ejpam-4020	50	11	′	′	NUM
ejpam-4020	50	12	1(s	1(s	NUM
ejpam-4020	50	13	)	)	PUNCT
ejpam-4020	51	1	+	+	CCONJ
ejpam-4020	51	2	b1u	b1u	VERB
ejpam-4020	51	3	′	′	NOUN
ejpam-4020	51	4	2(s	2(s	NUM
ejpam-4020	51	5	)	)	PUNCT
ejpam-4020	52	1	+	+	CCONJ
ejpam-4020	52	2	c1u	c1u	PROPN
ejpam-4020	52	3	′	′	NUM
ejpam-4020	52	4	3(s	3(s	NUM
ejpam-4020	52	5	)	)	PUNCT
ejpam-4020	53	1	+	+	CCONJ
ejpam-4020	54	1	d1u	d1u	ADJ
ejpam-4020	54	2	′	′	NUM
ejpam-4020	55	1	4(s	4(s	NUM
ejpam-4020	55	2	)	)	PUNCT
ejpam-4020	56	1	=	=	NOUN
ejpam-4020	56	2	a2u	a2u	ADP
ejpam-4020	57	1	′	′	NUM
ejpam-4020	57	2	1(s	1(s	NUM
ejpam-4020	57	3	)	)	PUNCT
ejpam-4020	58	1	+	+	CCONJ
ejpam-4020	58	2	b2u	b2u	ADP
ejpam-4020	58	3	′	′	NUM
ejpam-4020	58	4	2(s	2(s	NUM
ejpam-4020	58	5	)	)	PUNCT
ejpam-4020	59	1	+	+	CCONJ
ejpam-4020	59	2	c2u	c2u	NOUN
ejpam-4020	59	3	′	′	NUM
ejpam-4020	59	4	3(s	3(s	NUM
ejpam-4020	59	5	)	)	PUNCT
ejpam-4020	60	1	+	+	CCONJ
ejpam-4020	60	2	d2u	d2u	ADV
ejpam-4020	60	3	′	′	NUM
ejpam-4020	61	1	4(s	4(s	NUM
ejpam-4020	61	2	)	)	PUNCT
ejpam-4020	61	3	,	,	PUNCT
ejpam-4020	61	4	(	(	PUNCT
ejpam-4020	61	5	8)	8)	NUM
ejpam-4020	61	6	4	4	NUM
ejpam-4020	61	7	.	.	PUNCT
ejpam-4020	62	1	g	g	PROPN
ejpam-4020	62	2	′′	′′	PROPN
ejpam-4020	62	3	is	be	AUX
ejpam-4020	62	4	continuous	continuous	ADJ
ejpam-4020	62	5	at	at	ADP
ejpam-4020	62	6	t	t	PROPN
ejpam-4020	62	7	=	=	SYM
ejpam-4020	62	8	s	s	PROPN
ejpam-4020	62	9	;	;	PUNCT
ejpam-4020	62	10	a1u	a1u	PROPN
ejpam-4020	62	11	′′	′′	PROPN
ejpam-4020	62	12	1(s	1(s	NUM
ejpam-4020	62	13	)	)	PUNCT
ejpam-4020	63	1	+	+	CCONJ
ejpam-4020	63	2	b1u	b1u	VERB
ejpam-4020	63	3	′′	′′	NOUN
ejpam-4020	63	4	2(s	2(s	NUM
ejpam-4020	63	5	)	)	PUNCT
ejpam-4020	64	1	+	+	NUM
ejpam-4020	64	2	c1u	c1u	PROPN
ejpam-4020	64	3	′′	′′	PROPN
ejpam-4020	64	4	3(s	3(s	NUM
ejpam-4020	64	5	)	)	PUNCT
ejpam-4020	64	6	+	+	CCONJ
ejpam-4020	64	7	d1u	d1u	PROPN
ejpam-4020	64	8	′′	′′	PROPN
ejpam-4020	64	9	4(s	4(s	NUM
ejpam-4020	64	10	)	)	PUNCT
ejpam-4020	64	11	=	=	X
ejpam-4020	65	1	a2u	a2u	PROPN
ejpam-4020	65	2	′′	′′	PROPN
ejpam-4020	65	3	1(s	1(s	NUM
ejpam-4020	65	4	)	)	PUNCT
ejpam-4020	66	1	+	+	CCONJ
ejpam-4020	66	2	b2u	b2u	ADP
ejpam-4020	66	3	′′	′′	PROPN
ejpam-4020	66	4	2(s	2(s	NUM
ejpam-4020	66	5	)	)	PUNCT
ejpam-4020	67	1	+	+	CCONJ
ejpam-4020	67	2	c2u	c2u	X
ejpam-4020	67	3	′′	′′	PROPN
ejpam-4020	67	4	3(s	3(s	NUM
ejpam-4020	67	5	)	)	PUNCT
ejpam-4020	67	6	+	+	CCONJ
ejpam-4020	67	7	d2u	d2u	ADV
ejpam-4020	67	8	′′	′′	PROPN
ejpam-4020	67	9	4(s	4(s	NUM
ejpam-4020	67	10	)	)	PUNCT
ejpam-4020	67	11	.	.	PUNCT
ejpam-4020	68	1	(	(	PUNCT
ejpam-4020	68	2	9	9	X
ejpam-4020	68	3	)	)	PUNCT
ejpam-4020	68	4	5	5	NUM
ejpam-4020	68	5	.	.	PUNCT
ejpam-4020	69	1	g	g	PROPN
ejpam-4020	69	2	′′′	′′′	PROPN
ejpam-4020	69	3	has	have	AUX
ejpam-4020	69	4	jumping	jump	VERB
ejpam-4020	69	5	discontinuous	discontinuous	ADV
ejpam-4020	69	6	at	at	ADP
ejpam-4020	69	7	t	t	PROPN
ejpam-4020	69	8	=	=	SYM
ejpam-4020	69	9	s	s	PROPN
ejpam-4020	69	10	;	;	PUNCT
ejpam-4020	69	11	a1u	a1u	PROPN
ejpam-4020	69	12	′′′	′′′	PROPN
ejpam-4020	69	13	1	1	NUM
ejpam-4020	69	14	(	(	PUNCT
ejpam-4020	69	15	s)+b1u	s)+b1u	PROPN
ejpam-4020	69	16	′′′	′′′	PROPN
ejpam-4020	69	17	2	2	NUM
ejpam-4020	69	18	(	(	PUNCT
ejpam-4020	69	19	s)+c1u	s)+c1u	PROPN
ejpam-4020	69	20	′′′	′′′	PROPN
ejpam-4020	69	21	3	3	NUM
ejpam-4020	69	22	(	(	PUNCT
ejpam-4020	69	23	s)+d1u	s)+d1u	PUNCT
ejpam-4020	69	24	′′′	′′′	ADP
ejpam-4020	69	25	4	4	NUM
ejpam-4020	69	26	(	(	PUNCT
ejpam-4020	69	27	s)+1	s)+1	NOUN
ejpam-4020	69	28	/	/	SYM
ejpam-4020	69	29	p(s	p(s	NOUN
ejpam-4020	69	30	)	)	PUNCT
ejpam-4020	70	1	=	=	PUNCT
ejpam-4020	71	1	a2u	a2u	ADP
ejpam-4020	71	2	′′′	′′′	PROPN
ejpam-4020	71	3	1	1	NUM
ejpam-4020	71	4	(	(	PUNCT
ejpam-4020	71	5	s)+b2u	s)+b2u	PROPN
ejpam-4020	71	6	′′′	′′′	PROPN
ejpam-4020	71	7	2	2	NUM
ejpam-4020	71	8	(	(	PUNCT
ejpam-4020	71	9	s)+c2u	s)+c2u	PROPN
ejpam-4020	71	10	′′′	′′′	PROPN
ejpam-4020	71	11	3	3	NUM
ejpam-4020	71	12	(	(	PUNCT
ejpam-4020	71	13	s)+d2u	s)+d2u	SYM
ejpam-4020	71	14	′′′	′′′	VERB
ejpam-4020	71	15	4	4	NUM
ejpam-4020	71	16	(	(	PUNCT
ejpam-4020	71	17	s	s	NOUN
ejpam-4020	71	18	)	)	PUNCT
ejpam-4020	71	19	.	.	PUNCT
ejpam-4020	72	1	(	(	PUNCT
ejpam-4020	72	2	10	10	NUM
ejpam-4020	72	3	)	)	PUNCT
ejpam-4020	72	4	as	as	ADP
ejpam-4020	72	5	a	a	DET
ejpam-4020	72	6	consequence	consequence	NOUN
ejpam-4020	72	7	of	of	ADP
ejpam-4020	72	8	these	these	DET
ejpam-4020	72	9	calculations	calculation	NOUN
ejpam-4020	72	10	,	,	PUNCT
ejpam-4020	72	11	the	the	DET
ejpam-4020	72	12	green	green	NOUN
ejpam-4020	72	13	’s	’s	PART
ejpam-4020	72	14	function	function	NOUN
ejpam-4020	72	15	can	can	AUX
ejpam-4020	72	16	be	be	AUX
ejpam-4020	72	17	written	write	VERB
ejpam-4020	72	18	in	in	ADP
ejpam-4020	72	19	the	the	DET
ejpam-4020	72	20	following	follow	VERB
ejpam-4020	72	21	form	form	NOUN
ejpam-4020	72	22	up	up	ADP
ejpam-4020	72	23	=	=	PUNCT
ejpam-4020	72	24	∫	∫	PROPN
ejpam-4020	72	25	b	b	PROPN
ejpam-4020	72	26	a	a	DET
ejpam-4020	72	27	g(t	g(t	PROPN
ejpam-4020	72	28	,	,	PUNCT
ejpam-4020	72	29	s)f(s)ds	s)f(s)ds	PROPN
ejpam-4020	72	30	,	,	PUNCT
ejpam-4020	72	31	(	(	PUNCT
ejpam-4020	72	32	11	11	NUM
ejpam-4020	72	33	)	)	PUNCT
ejpam-4020	72	34	where	where	SCONJ
ejpam-4020	72	35	un	un	PROPN
ejpam-4020	72	36	is	be	AUX
ejpam-4020	72	37	the	the	DET
ejpam-4020	72	38	particular	particular	ADJ
ejpam-4020	72	39	solution	solution	NOUN
ejpam-4020	72	40	of	of	ADP
ejpam-4020	72	41	eq	eq	PROPN
ejpam-4020	72	42	.	.	PUNCT
ejpam-4020	73	1	(	(	PUNCT
ejpam-4020	73	2	3	3	NUM
ejpam-4020	73	3	)	)	PUNCT
ejpam-4020	73	4	.	.	PUNCT
ejpam-4020	74	1	3	3	X
ejpam-4020	74	2	.	.	X
ejpam-4020	74	3	picard	picard	NOUN
ejpam-4020	74	4	-	-	PUNCT
ejpam-4020	74	5	green	green	PROPN
ejpam-4020	74	6	’s	’s	PART
ejpam-4020	74	7	fixed	fix	VERB
ejpam-4020	74	8	-	-	PUNCT
ejpam-4020	74	9	point	point	NOUN
ejpam-4020	74	10	iterative	iterative	NOUN
ejpam-4020	74	11	method	method	NOUN
ejpam-4020	74	12	(	(	PUNCT
ejpam-4020	74	13	pgem	pgem	NOUN
ejpam-4020	74	14	)	)	PUNCT
ejpam-4020	74	15	let	let	VERB
ejpam-4020	74	16	us	we	PRON
ejpam-4020	74	17	define	define	VERB
ejpam-4020	74	18	the	the	DET
ejpam-4020	74	19	following	follow	VERB
ejpam-4020	74	20	linear	linear	ADJ
ejpam-4020	74	21	integral	integral	ADJ
ejpam-4020	74	22	operator	operator	NOUN
ejpam-4020	74	23	to	to	PART
ejpam-4020	74	24	implement	implement	VERB
ejpam-4020	74	25	the	the	DET
ejpam-4020	74	26	proposed	propose	VERB
ejpam-4020	74	27	picardgreen	picardgreen	PROPN
ejpam-4020	74	28	’s	’s	PART
ejpam-4020	74	29	fixed	fix	VERB
ejpam-4020	74	30	point	point	NOUN
ejpam-4020	74	31	iteration	iteration	NOUN
ejpam-4020	74	32	method	method	NOUN
ejpam-4020	74	33	.	.	PUNCT
ejpam-4020	75	1	t	t	X
ejpam-4020	76	1	[	[	X
ejpam-4020	76	2	u	u	X
ejpam-4020	76	3	]	]	X
ejpam-4020	76	4	=	=	PUNCT
ejpam-4020	76	5	uh	uh	INTJ
ejpam-4020	76	6	+	+	NUM
ejpam-4020	76	7	∫	∫	PROPN
ejpam-4020	76	8	b	b	PROPN
ejpam-4020	76	9	a	a	DET
ejpam-4020	76	10	g(t	g(t	PROPN
ejpam-4020	76	11	,	,	PUNCT
ejpam-4020	76	12	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	76	13	′′′′	′′′′	PROPN
ejpam-4020	76	14	(	(	PUNCT
ejpam-4020	76	15	s)+	s)+	PROPN
ejpam-4020	76	16	q(s)u	q(s)u	PROPN
ejpam-4020	76	17	′′′	′′′	PROPN
ejpam-4020	76	18	(	(	PUNCT
ejpam-4020	76	19	s)+	s)+	PROPN
ejpam-4020	76	20	r(s)u	r(s)u	ADV
ejpam-4020	76	21	′′	′′	PROPN
ejpam-4020	76	22	(	(	PUNCT
ejpam-4020	76	23	s)+h(s)u	s)+h(s)u	ADJ
ejpam-4020	76	24	′	′	NUM
ejpam-4020	76	25	(	(	PUNCT
ejpam-4020	76	26	s)+g(s)u(s))ds	s)+g(s)u(s))d	VERB
ejpam-4020	76	27	,	,	PUNCT
ejpam-4020	76	28	(	(	PUNCT
ejpam-4020	76	29	12	12	NUM
ejpam-4020	76	30	)	)	PUNCT
ejpam-4020	76	31	by	by	ADP
ejpam-4020	76	32	using	use	VERB
ejpam-4020	76	33	eq	eq	ADP
ejpam-4020	76	34	.	.	PUNCT
ejpam-4020	77	1	(	(	PUNCT
ejpam-4020	77	2	12	12	NUM
ejpam-4020	77	3	)	)	PUNCT
ejpam-4020	77	4	,	,	PUNCT
ejpam-4020	77	5	we	we	PRON
ejpam-4020	77	6	obtain	obtain	VERB
ejpam-4020	77	7	t	t	NOUN
ejpam-4020	78	1	[	[	X
ejpam-4020	78	2	u	u	X
ejpam-4020	78	3	]	]	X
ejpam-4020	78	4	=	=	PUNCT
ejpam-4020	78	5	uh	uh	INTJ
ejpam-4020	78	6	+	+	NUM
ejpam-4020	78	7	∫	∫	PROPN
ejpam-4020	78	8	b	b	PROPN
ejpam-4020	78	9	a	a	DET
ejpam-4020	78	10	g(t	g(t	PROPN
ejpam-4020	78	11	,	,	PUNCT
ejpam-4020	78	12	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	78	13	′′′′	′′′′	PROPN
ejpam-4020	78	14	(	(	PUNCT
ejpam-4020	78	15	s	s	NOUN
ejpam-4020	78	16	)	)	PUNCT
ejpam-4020	79	1	+	+	CCONJ
ejpam-4020	79	2	q(s)u	q(s)u	PROPN
ejpam-4020	79	3	′′′	′′′	NOUN
ejpam-4020	79	4	(	(	PUNCT
ejpam-4020	79	5	s	s	X
ejpam-4020	79	6	)	)	PUNCT
ejpam-4020	79	7	+	+	NUM
ejpam-4020	79	8	r(s)u	r(s)u	PROPN
ejpam-4020	79	9	′′	′′	NOUN
ejpam-4020	79	10	(	(	PUNCT
ejpam-4020	79	11	s	s	NOUN
ejpam-4020	79	12	)	)	PUNCT
ejpam-4020	79	13	+	+	NUM
ejpam-4020	79	14	h(s)u	h(s)u	NOUN
ejpam-4020	79	15	′	′	NUM
ejpam-4020	79	16	(	(	PUNCT
ejpam-4020	79	17	s	s	X
ejpam-4020	79	18	)	)	PUNCT
ejpam-4020	79	19	+	+	NUM
ejpam-4020	79	20	g(s)u(s)−	g(s)u(s)−	NOUN
ejpam-4020	79	21	f(s))ds	f(s))d	VERB
ejpam-4020	80	1	+	+	CCONJ
ejpam-4020	80	2	∫	∫	PROPN
ejpam-4020	80	3	b	b	PROPN
ejpam-4020	80	4	a	a	DET
ejpam-4020	80	5	g(t	g(t	PROPN
ejpam-4020	80	6	,	,	PUNCT
ejpam-4020	80	7	s)f(s)ds.(13	s)f(s)ds.(13	NOUN
ejpam-4020	80	8	)	)	PUNCT
ejpam-4020	80	9	using	use	VERB
ejpam-4020	80	10	eq	eq	X
ejpam-4020	80	11	.	.	PUNCT
ejpam-4020	81	1	(	(	PUNCT
ejpam-4020	81	2	11	11	NUM
ejpam-4020	81	3	)	)	PUNCT
ejpam-4020	81	4	,	,	PUNCT
ejpam-4020	81	5	we	we	PRON
ejpam-4020	81	6	get	get	VERB
ejpam-4020	81	7	t	t	NOUN
ejpam-4020	82	1	[	[	X
ejpam-4020	82	2	u	u	X
ejpam-4020	82	3	]	]	X
ejpam-4020	82	4	=	=	SYM
ejpam-4020	82	5	u+	u+	NUM
ejpam-4020	82	6	∫	∫	PROPN
ejpam-4020	82	7	b	b	PROPN
ejpam-4020	82	8	a	a	DET
ejpam-4020	82	9	g(t	g(t	PROPN
ejpam-4020	82	10	,	,	PUNCT
ejpam-4020	82	11	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	82	12	′′′′	′′′′	PROPN
ejpam-4020	82	13	(	(	PUNCT
ejpam-4020	82	14	s	s	NOUN
ejpam-4020	82	15	)	)	PUNCT
ejpam-4020	83	1	+	+	CCONJ
ejpam-4020	83	2	q(s)u	q(s)u	PROPN
ejpam-4020	83	3	′′′	′′′	NOUN
ejpam-4020	83	4	(	(	PUNCT
ejpam-4020	83	5	s	s	X
ejpam-4020	83	6	)	)	PUNCT
ejpam-4020	83	7	+	+	NUM
ejpam-4020	83	8	r(s)u	r(s)u	PROPN
ejpam-4020	83	9	′′	′′	NOUN
ejpam-4020	83	10	(	(	PUNCT
ejpam-4020	83	11	s	s	NOUN
ejpam-4020	83	12	)	)	PUNCT
ejpam-4020	83	13	+	+	NOUN
ejpam-4020	83	14	h(s)u	h(s)u	X
ejpam-4020	83	15	′	′	NUM
ejpam-4020	83	16	(	(	PUNCT
ejpam-4020	83	17	s	s	X
ejpam-4020	83	18	)	)	PUNCT
ejpam-4020	83	19	+	+	CCONJ
ejpam-4020	83	20	g(s)u(s)−	g(s)u(s)−	NOUN
ejpam-4020	83	21	f(s))ds	f(s))d	VERB
ejpam-4020	83	22	.	.	PUNCT
ejpam-4020	84	1	(	(	PUNCT
ejpam-4020	84	2	14	14	NUM
ejpam-4020	84	3	)	)	PUNCT
ejpam-4020	84	4	let	let	VERB
ejpam-4020	84	5	the	the	DET
ejpam-4020	84	6	starting	starting	NOUN
ejpam-4020	84	7	function	function	NOUN
ejpam-4020	84	8	u0	u0	ADV
ejpam-4020	84	9	be	be	AUX
ejpam-4020	84	10	the	the	DET
ejpam-4020	84	11	homogeneous	homogeneous	ADJ
ejpam-4020	84	12	solution	solution	NOUN
ejpam-4020	84	13	of	of	ADP
ejpam-4020	84	14	l[u	l[u	NOUN
ejpam-4020	84	15	]	]	X
ejpam-4020	84	16	=	=	SYM
ejpam-4020	84	17	0	0	NUM
ejpam-4020	84	18	and	and	CCONJ
ejpam-4020	84	19	un+1	un+1	PROPN
ejpam-4020	85	1	=	=	SYM
ejpam-4020	85	2	t	t	PROPN
ejpam-4020	86	1	[	[	X
ejpam-4020	86	2	un	un	X
ejpam-4020	86	3	]	]	X
ejpam-4020	86	4	,	,	PUNCT
ejpam-4020	86	5	for	for	ADP
ejpam-4020	86	6	all	all	DET
ejpam-4020	86	7	n	n	PRON
ejpam-4020	86	8	≥	≥	NOUN
ejpam-4020	86	9	0	0	NUM
ejpam-4020	86	10	,	,	PUNCT
ejpam-4020	86	11	then	then	ADV
ejpam-4020	86	12	picard	picard	NOUN
ejpam-4020	86	13	-	-	PUNCT
ejpam-4020	86	14	green	green	PROPN
ejpam-4020	86	15	’s	’s	PART
ejpam-4020	86	16	fixed	fix	VERB
ejpam-4020	86	17	point	point	NOUN
ejpam-4020	86	18	iteration	iteration	NOUN
ejpam-4020	86	19	method	method	NOUN
ejpam-4020	86	20	for	for	ADP
ejpam-4020	86	21	eq	eq	PROPN
ejpam-4020	86	22	.	.	PUNCT
ejpam-4020	87	1	(	(	PUNCT
ejpam-4020	87	2	3	3	X
ejpam-4020	87	3	)	)	PUNCT
ejpam-4020	87	4	is	be	AUX
ejpam-4020	87	5	defined	define	VERB
ejpam-4020	87	6	as	as	ADP
ejpam-4020	87	7	:	:	PUNCT
ejpam-4020	87	8	un+1	un+1	PROPN
ejpam-4020	87	9	=	=	SYM
ejpam-4020	87	10	un+	un+	PROPN
ejpam-4020	87	11	∫	∫	PROPN
ejpam-4020	87	12	b	b	PROPN
ejpam-4020	87	13	a	a	DET
ejpam-4020	87	14	g(t	g(t	PROPN
ejpam-4020	87	15	,	,	PUNCT
ejpam-4020	87	16	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	87	17	′′′′	′′′′	PROPN
ejpam-4020	87	18	n	n	CCONJ
ejpam-4020	87	19	(	(	PUNCT
ejpam-4020	87	20	s)+q(s)u	s)+q(s)u	NOUN
ejpam-4020	87	21	′′′	′′′	PROPN
ejpam-4020	87	22	n	n	PROPN
ejpam-4020	87	23	(	(	PUNCT
ejpam-4020	87	24	s)+r(s)u	s)+r(s)u	ADV
ejpam-4020	87	25	′′	′′	PROPN
ejpam-4020	87	26	n(s)+h(s)u	n(s)+h(s)u	PROPN
ejpam-4020	87	27	′	′	NUM
ejpam-4020	87	28	n(s)+g(s)un(s)−f(s))ds	n(s)+g(s)un(s)−f(s))ds	PROPN
ejpam-4020	87	29	.	.	PUNCT
ejpam-4020	88	1	(	(	PUNCT
ejpam-4020	88	2	15	15	NUM
ejpam-4020	88	3	)	)	PUNCT
ejpam-4020	88	4	f.a.akgun	f.a.akgun	NOUN
ejpam-4020	88	5	,	,	PUNCT
ejpam-4020	88	6	z.	z.	PROPN
ejpam-4020	88	7	rasulov	rasulov	PROPN
ejpam-4020	88	8	/	/	SYM
ejpam-4020	88	9	eur	eur	PROPN
ejpam-4020	88	10	.	.	PUNCT
ejpam-4020	89	1	j.	j.	PROPN
ejpam-4020	89	2	pure	pure	PROPN
ejpam-4020	89	3	appl	appl	PROPN
ejpam-4020	89	4	.	.	PROPN
ejpam-4020	89	5	math	math	PROPN
ejpam-4020	89	6	,	,	PUNCT
ejpam-4020	89	7	14	14	NUM
ejpam-4020	89	8	(	(	PUNCT
ejpam-4020	89	9	3	3	NUM
ejpam-4020	89	10	)	)	PUNCT
ejpam-4020	89	11	(	(	PUNCT
ejpam-4020	89	12	2021	2021	NUM
ejpam-4020	89	13	)	)	PUNCT
ejpam-4020	89	14	,	,	PUNCT
ejpam-4020	89	15	969	969	NUM
ejpam-4020	89	16	-	-	SYM
ejpam-4020	89	17	979	979	NUM
ejpam-4020	89	18	972	972	NUM
ejpam-4020	89	19	4	4	NUM
ejpam-4020	89	20	.	.	PUNCT
ejpam-4020	90	1	mann	mann	PROPN
ejpam-4020	90	2	-	-	PUNCT
ejpam-4020	90	3	green	green	PROPN
ejpam-4020	90	4	’s	’s	PART
ejpam-4020	90	5	fixed	fix	VERB
ejpam-4020	90	6	point	point	NOUN
ejpam-4020	90	7	iterative	iterative	NOUN
ejpam-4020	90	8	method	method	NOUN
ejpam-4020	90	9	(	(	PUNCT
ejpam-4020	90	10	mgem	mgem	PROPN
ejpam-4020	90	11	)	)	PUNCT
ejpam-4020	90	12	the	the	DET
ejpam-4020	90	13	operator	operator	NOUN
ejpam-4020	90	14	for	for	ADP
ejpam-4020	90	15	mann	mann	PROPN
ejpam-4020	90	16	-	-	PUNCT
ejpam-4020	90	17	green	green	PROPN
ejpam-4020	90	18	’s	’s	PART
ejpam-4020	90	19	fixed	fix	VERB
ejpam-4020	90	20	point	point	NOUN
ejpam-4020	90	21	iteration	iteration	NOUN
ejpam-4020	90	22	method	method	NOUN
ejpam-4020	90	23	is	be	AUX
ejpam-4020	90	24	un+1	un+1	ADJ
ejpam-4020	90	25	=	=	SYM
ejpam-4020	90	26	(	(	PUNCT
ejpam-4020	90	27	1	1	NUM
ejpam-4020	90	28	−	−	PROPN
ejpam-4020	90	29	αn)un	αn)un	PUNCT
ejpam-4020	90	30	+	+	NUM
ejpam-4020	90	31	αnt	αnt	NOUN
ejpam-4020	90	32	[	[	X
ejpam-4020	90	33	un	un	X
ejpam-4020	90	34	]	]	X
ejpam-4020	90	35	,	,	PUNCT
ejpam-4020	90	36	for	for	ADP
ejpam-4020	90	37	n	n	PRON
ejpam-4020	90	38	≥	≥	NOUN
ejpam-4020	90	39	0	0	NUM
ejpam-4020	90	40	.	.	PUNCT
ejpam-4020	91	1	we	we	PRON
ejpam-4020	91	2	generalize	generalize	VERB
ejpam-4020	91	3	the	the	DET
ejpam-4020	91	4	mann	mann	PROPN
ejpam-4020	91	5	-	-	PUNCT
ejpam-4020	91	6	green	green	PROPN
ejpam-4020	91	7	’s	’s	PART
ejpam-4020	91	8	method	method	NOUN
ejpam-4020	91	9	by	by	ADP
ejpam-4020	91	10	applying	apply	VERB
ejpam-4020	91	11	the	the	DET
ejpam-4020	91	12	solutions	solution	NOUN
ejpam-4020	91	13	of	of	ADP
ejpam-4020	91	14	eq	eq	PROPN
ejpam-4020	91	15	.	.	PUNCT
ejpam-4020	92	1	(	(	PUNCT
ejpam-4020	92	2	12)-(14	12)-(14	NUM
ejpam-4020	92	3	)	)	PUNCT
ejpam-4020	92	4	as	as	SCONJ
ejpam-4020	92	5	follows	follow	VERB
ejpam-4020	92	6	:	:	PUNCT
ejpam-4020	93	1	un+1	un+1	PROPN
ejpam-4020	93	2	=	=	SYM
ejpam-4020	93	3	(	(	PUNCT
ejpam-4020	93	4	1−	1−	NUM
ejpam-4020	93	5	αn)un	αn)un	NUM
ejpam-4020	94	1	+	+	NUM
ejpam-4020	94	2	αn	αn	NUM
ejpam-4020	94	3	∫	∫	PROPN
ejpam-4020	94	4	b	b	PROPN
ejpam-4020	94	5	a	a	DET
ejpam-4020	94	6	g(t	g(t	PROPN
ejpam-4020	94	7	,	,	PUNCT
ejpam-4020	94	8	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	94	9	′′′′	′′′′	PROPN
ejpam-4020	94	10	n	n	CCONJ
ejpam-4020	94	11	(	(	PUNCT
ejpam-4020	94	12	s	s	X
ejpam-4020	94	13	)	)	PUNCT
ejpam-4020	95	1	+	+	CCONJ
ejpam-4020	95	2	q(s)u	q(s)u	PROPN
ejpam-4020	95	3	′′′	′′′	NOUN
ejpam-4020	95	4	n	n	PROPN
ejpam-4020	95	5	(	(	PUNCT
ejpam-4020	95	6	s	s	X
ejpam-4020	95	7	)	)	PUNCT
ejpam-4020	95	8	+	+	PROPN
ejpam-4020	95	9	r(s)u	r(s)u	PROPN
ejpam-4020	95	10	′′	′′	NOUN
ejpam-4020	95	11	n(s	n(s	NOUN
ejpam-4020	95	12	)	)	PUNCT
ejpam-4020	96	1	+	+	NUM
ejpam-4020	96	2	h(s)u	h(s)u	NOUN
ejpam-4020	96	3	′	′	NUM
ejpam-4020	96	4	n(s	n(s	NOUN
ejpam-4020	96	5	)	)	PUNCT
ejpam-4020	97	1	+	+	CCONJ
ejpam-4020	97	2	g(s)un(s)−	g(s)un(s)−	NUM
ejpam-4020	97	3	f(s))ds	f(s))ds	PROPN
ejpam-4020	97	4	=	=	SYM
ejpam-4020	97	5	un	un	PROPN
ejpam-4020	97	6	+	+	CCONJ
ejpam-4020	97	7	αn	αn	NUM
ejpam-4020	97	8	∫	∫	PROPN
ejpam-4020	97	9	b	b	PROPN
ejpam-4020	97	10	a	a	DET
ejpam-4020	97	11	g(t	g(t	PROPN
ejpam-4020	97	12	,	,	PUNCT
ejpam-4020	97	13	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	97	14	′′′′	′′′′	PROPN
ejpam-4020	97	15	n	n	CCONJ
ejpam-4020	97	16	(	(	PUNCT
ejpam-4020	97	17	s	s	X
ejpam-4020	97	18	)	)	PUNCT
ejpam-4020	98	1	+	+	CCONJ
ejpam-4020	98	2	q(s)u	q(s)u	PROPN
ejpam-4020	98	3	′′′	′′′	NOUN
ejpam-4020	98	4	n	n	PROPN
ejpam-4020	98	5	(	(	PUNCT
ejpam-4020	98	6	s	s	X
ejpam-4020	98	7	)	)	PUNCT
ejpam-4020	98	8	+	+	PROPN
ejpam-4020	98	9	r(s)u	r(s)u	PROPN
ejpam-4020	98	10	′′	′′	NOUN
ejpam-4020	98	11	n(s	n(s	NOUN
ejpam-4020	98	12	)	)	PUNCT
ejpam-4020	99	1	+	+	NUM
ejpam-4020	99	2	h(s)u	h(s)u	NOUN
ejpam-4020	99	3	′	′	NUM
ejpam-4020	99	4	n(s	n(s	NOUN
ejpam-4020	99	5	)	)	PUNCT
ejpam-4020	100	1	+	+	CCONJ
ejpam-4020	100	2	g(s)un(s)−	g(s)un(s)−	NUM
ejpam-4020	100	3	f(s))ds	f(s))d	NOUN
ejpam-4020	100	4	.	.	PUNCT
ejpam-4020	101	1	(	(	PUNCT
ejpam-4020	101	2	16	16	NUM
ejpam-4020	101	3	)	)	PUNCT
ejpam-4020	101	4	here	here	ADV
ejpam-4020	101	5	,	,	PUNCT
ejpam-4020	101	6	the	the	DET
ejpam-4020	101	7	choice	choice	NOUN
ejpam-4020	101	8	of	of	ADP
ejpam-4020	101	9	starting	start	VERB
ejpam-4020	101	10	point	point	NOUN
ejpam-4020	101	11	is	be	AUX
ejpam-4020	101	12	similar	similar	ADJ
ejpam-4020	101	13	to	to	ADP
ejpam-4020	101	14	the	the	DET
ejpam-4020	101	15	pgem	pgem	NOUN
ejpam-4020	101	16	.	.	PUNCT
ejpam-4020	102	1	5	5	X
ejpam-4020	102	2	.	.	X
ejpam-4020	102	3	convergence	convergence	NOUN
ejpam-4020	102	4	analysis	analysis	NOUN
ejpam-4020	102	5	in	in	ADP
ejpam-4020	102	6	this	this	DET
ejpam-4020	102	7	section	section	NOUN
ejpam-4020	102	8	,	,	PUNCT
ejpam-4020	102	9	we	we	PRON
ejpam-4020	102	10	analyze	analyze	VERB
ejpam-4020	102	11	the	the	DET
ejpam-4020	102	12	convergence	convergence	NOUN
ejpam-4020	102	13	and	and	CCONJ
ejpam-4020	102	14	determine	determine	VERB
ejpam-4020	102	15	the	the	DET
ejpam-4020	102	16	convergence	convergence	NOUN
ejpam-4020	102	17	rate	rate	NOUN
ejpam-4020	102	18	.	.	PUNCT
ejpam-4020	103	1	the	the	DET
ejpam-4020	103	2	convergence	convergence	NOUN
ejpam-4020	103	3	analysis	analysis	NOUN
ejpam-4020	103	4	will	will	AUX
ejpam-4020	103	5	be	be	AUX
ejpam-4020	103	6	provided	provide	VERB
ejpam-4020	103	7	by	by	ADP
ejpam-4020	103	8	using	use	VERB
ejpam-4020	103	9	nonlinear	nonlinear	ADJ
ejpam-4020	103	10	differential	differential	ADJ
ejpam-4020	103	11	equations	equation	NOUN
ejpam-4020	103	12	and	and	CCONJ
ejpam-4020	103	13	by	by	ADP
ejpam-4020	103	14	the	the	DET
ejpam-4020	103	15	contraction	contraction	NOUN
ejpam-4020	103	16	principle	principle	NOUN
ejpam-4020	103	17	.	.	PUNCT
ejpam-4020	104	1	consider	consider	VERB
ejpam-4020	104	2	the	the	DET
ejpam-4020	104	3	fourth	fourth	ADJ
ejpam-4020	104	4	-	-	PUNCT
ejpam-4020	104	5	order	order	NOUN
ejpam-4020	104	6	bvp	bvp	NOUN
ejpam-4020	104	7	u	u	PROPN
ejpam-4020	104	8	′′′′	′′′′	PROPN
ejpam-4020	104	9	(	(	PUNCT
ejpam-4020	104	10	t	t	PROPN
ejpam-4020	104	11	)	)	PUNCT
ejpam-4020	104	12	=	=	PUNCT
ejpam-4020	104	13	f(t	f(t	NOUN
ejpam-4020	104	14	,	,	PUNCT
ejpam-4020	104	15	u(t	u(t	NOUN
ejpam-4020	104	16	)	)	PUNCT
ejpam-4020	104	17	,	,	PUNCT
ejpam-4020	104	18	u	u	NOUN
ejpam-4020	104	19	′	′	NOUN
ejpam-4020	104	20	(	(	PUNCT
ejpam-4020	104	21	t	t	PROPN
ejpam-4020	104	22	)	)	PUNCT
ejpam-4020	104	23	,	,	PUNCT
ejpam-4020	104	24	u	u	PRON
ejpam-4020	104	25	′′	′′	PROPN
ejpam-4020	104	26	(	(	PUNCT
ejpam-4020	104	27	t	t	PROPN
ejpam-4020	104	28	)	)	PUNCT
ejpam-4020	104	29	,	,	PUNCT
ejpam-4020	105	1	u	u	PRON
ejpam-4020	105	2	′′′	′′′	PROPN
ejpam-4020	105	3	(	(	PUNCT
ejpam-4020	105	4	t	t	PROPN
ejpam-4020	105	5	)	)	PUNCT
ejpam-4020	105	6	)	)	PUNCT
ejpam-4020	105	7	,	,	PUNCT
ejpam-4020	105	8	(	(	PUNCT
ejpam-4020	105	9	17	17	NUM
ejpam-4020	105	10	)	)	PUNCT
ejpam-4020	105	11	with	with	ADP
ejpam-4020	105	12	the	the	DET
ejpam-4020	105	13	boundary	boundary	ADJ
ejpam-4020	105	14	conditions	condition	NOUN
ejpam-4020	105	15	u(0	u(0	NOUN
ejpam-4020	105	16	)	)	PUNCT
ejpam-4020	105	17	=	=	SYM
ejpam-4020	105	18	α	α	X
ejpam-4020	105	19	,	,	PUNCT
ejpam-4020	105	20	u	u	NOUN
ejpam-4020	105	21	′	′	NUM
ejpam-4020	105	22	(	(	PUNCT
ejpam-4020	105	23	0	0	NUM
ejpam-4020	105	24	)	)	PUNCT
ejpam-4020	105	25	=	=	SYM
ejpam-4020	105	26	β	β	X
ejpam-4020	105	27	,	,	PUNCT
ejpam-4020	105	28	u	u	NOUN
ejpam-4020	105	29	′′	′′	PROPN
ejpam-4020	105	30	(	(	PUNCT
ejpam-4020	105	31	1	1	NUM
ejpam-4020	105	32	)	)	PUNCT
ejpam-4020	105	33	=	=	SYM
ejpam-4020	105	34	γ	γ	X
ejpam-4020	105	35	,	,	PUNCT
ejpam-4020	105	36	u	u	PRON
ejpam-4020	105	37	′′′	′′′	PROPN
ejpam-4020	105	38	(	(	PUNCT
ejpam-4020	105	39	1	1	NUM
ejpam-4020	105	40	)	)	PUNCT
ejpam-4020	105	41	=	=	SYM
ejpam-4020	105	42	ω	ω	PROPN
ejpam-4020	105	43	.	.	PUNCT
ejpam-4020	106	1	(	(	PUNCT
ejpam-4020	106	2	18	18	NUM
ejpam-4020	106	3	)	)	PUNCT
ejpam-4020	106	4	in	in	ADP
ejpam-4020	106	5	particular	particular	ADJ
ejpam-4020	106	6	,	,	PUNCT
ejpam-4020	106	7	the	the	DET
ejpam-4020	106	8	solution	solution	NOUN
ejpam-4020	106	9	of	of	ADP
ejpam-4020	106	10	the	the	DET
ejpam-4020	106	11	problem	problem	NOUN
ejpam-4020	106	12	eq	eq	ADJ
ejpam-4020	106	13	.	.	PUNCT
ejpam-4020	107	1	(	(	PUNCT
ejpam-4020	107	2	17	17	NUM
ejpam-4020	107	3	)	)	PUNCT
ejpam-4020	107	4	−	−	PROPN
ejpam-4020	107	5	(	(	PUNCT
ejpam-4020	107	6	18	18	NUM
ejpam-4020	107	7	)	)	PUNCT
ejpam-4020	107	8	is	be	AUX
ejpam-4020	107	9	as	as	SCONJ
ejpam-4020	107	10	follows	follow	VERB
ejpam-4020	107	11	:	:	PUNCT
ejpam-4020	107	12	up	up	ADP
ejpam-4020	108	1	=	=	PUNCT
ejpam-4020	108	2	∫	∫	PROPN
ejpam-4020	108	3	1	1	NUM
ejpam-4020	108	4	0	0	NUM
ejpam-4020	108	5	g(t	g(t	PROPN
ejpam-4020	108	6	,	,	PUNCT
ejpam-4020	108	7	s)f(s	s)f(	NOUN
ejpam-4020	108	8	,	,	PUNCT
ejpam-4020	108	9	up	up	ADV
ejpam-4020	108	10	,	,	PUNCT
ejpam-4020	108	11	u	u	NOUN
ejpam-4020	108	12	′	′	NOUN
ejpam-4020	108	13	p	p	X
ejpam-4020	108	14	,	,	PUNCT
ejpam-4020	108	15	u	u	NOUN
ejpam-4020	108	16	′′	′′	PROPN
ejpam-4020	108	17	p	p	PROPN
ejpam-4020	108	18	,	,	PUNCT
ejpam-4020	108	19	u	u	NOUN
ejpam-4020	108	20	′′′	′′′	NOUN
ejpam-4020	108	21	p	p	NOUN
ejpam-4020	108	22	)	)	PUNCT
ejpam-4020	108	23	ds	ds	PROPN
ejpam-4020	108	24	.	.	PUNCT
ejpam-4020	109	1	(	(	PUNCT
ejpam-4020	109	2	19	19	NUM
ejpam-4020	109	3	)	)	PUNCT
ejpam-4020	109	4	note	note	VERB
ejpam-4020	109	5	that	that	SCONJ
ejpam-4020	109	6	eq	eq	X
ejpam-4020	109	7	.	.	PUNCT
ejpam-4020	110	1	(	(	PUNCT
ejpam-4020	110	2	19	19	NUM
ejpam-4020	110	3	)	)	PUNCT
ejpam-4020	110	4	can	can	AUX
ejpam-4020	110	5	not	not	PART
ejpam-4020	110	6	be	be	AUX
ejpam-4020	110	7	replaced	replace	VERB
ejpam-4020	110	8	in	in	ADP
ejpam-4020	110	9	eq	eq	ADP
ejpam-4020	110	10	.	.	PUNCT
ejpam-4020	111	1	(	(	PUNCT
ejpam-4020	111	2	13	13	NUM
ejpam-4020	111	3	)	)	PUNCT
ejpam-4020	111	4	.	.	PUNCT
ejpam-4020	112	1	due	due	ADP
ejpam-4020	112	2	to	to	ADP
ejpam-4020	112	3	this	this	PRON
ejpam-4020	112	4	,	,	PUNCT
ejpam-4020	112	5	eq	eq	NOUN
ejpam-4020	112	6	.	.	PUNCT
ejpam-4020	113	1	(	(	PUNCT
ejpam-4020	113	2	12	12	NUM
ejpam-4020	113	3	)	)	PUNCT
ejpam-4020	113	4	should	should	AUX
ejpam-4020	113	5	be	be	AUX
ejpam-4020	113	6	modified	modify	VERB
ejpam-4020	113	7	as	as	ADP
ejpam-4020	113	8	t	t	PROPN
ejpam-4020	113	9	[	[	X
ejpam-4020	113	10	up	up	ADP
ejpam-4020	113	11	]	]	X
ejpam-4020	114	1	=	=	PUNCT
ejpam-4020	114	2	∫	∫	PROPN
ejpam-4020	114	3	b	b	PROPN
ejpam-4020	114	4	a	a	DET
ejpam-4020	114	5	g(t	g(t	PROPN
ejpam-4020	114	6	,	,	PUNCT
ejpam-4020	114	7	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	114	8	′′′′	′′′′	PROPN
ejpam-4020	114	9	p	p	PROPN
ejpam-4020	114	10	(	(	PUNCT
ejpam-4020	114	11	s	s	X
ejpam-4020	114	12	)	)	PUNCT
ejpam-4020	115	1	+	+	CCONJ
ejpam-4020	115	2	q(s)u	q(s)u	PROPN
ejpam-4020	116	1	′′′	′′′	PROPN
ejpam-4020	117	1	p	p	X
ejpam-4020	117	2	(	(	PUNCT
ejpam-4020	117	3	s	s	NOUN
ejpam-4020	117	4	)	)	PUNCT
ejpam-4020	118	1	+	+	X
ejpam-4020	118	2	r(s)u	r(s)u	X
ejpam-4020	118	3	′′	′′	ADJ
ejpam-4020	118	4	p(s	p(s	NOUN
ejpam-4020	118	5	)	)	PUNCT
ejpam-4020	119	1	+	+	NUM
ejpam-4020	119	2	h(s)u	h(s)u	ADP
ejpam-4020	119	3	′	′	NUM
ejpam-4020	119	4	p(s	p(s	NOUN
ejpam-4020	119	5	)	)	PUNCT
ejpam-4020	120	1	+	+	CCONJ
ejpam-4020	121	1	g(s)up(s))ds	g(s)up(s))ds	PROPN
ejpam-4020	121	2	.	.	PUNCT
ejpam-4020	122	1	(	(	PUNCT
ejpam-4020	122	2	20	20	NUM
ejpam-4020	122	3	)	)	PUNCT
ejpam-4020	122	4	from	from	ADP
ejpam-4020	122	5	eq	eq	ADP
ejpam-4020	122	6	.	.	PUNCT
ejpam-4020	123	1	(	(	PUNCT
ejpam-4020	123	2	19	19	NUM
ejpam-4020	123	3	)	)	PUNCT
ejpam-4020	123	4	and	and	CCONJ
ejpam-4020	123	5	eq	eq	NOUN
ejpam-4020	123	6	.	.	PUNCT
ejpam-4020	124	1	(	(	PUNCT
ejpam-4020	124	2	20	20	NUM
ejpam-4020	124	3	)	)	PUNCT
ejpam-4020	124	4	,	,	PUNCT
ejpam-4020	124	5	we	we	PRON
ejpam-4020	124	6	get	get	VERB
ejpam-4020	124	7	t	t	NOUN
ejpam-4020	125	1	[	[	X
ejpam-4020	125	2	up	up	ADP
ejpam-4020	125	3	]	]	X
ejpam-4020	125	4	=	=	PUNCT
ejpam-4020	125	5	up	up	ADP
ejpam-4020	125	6	+	+	CCONJ
ejpam-4020	125	7	∫	∫	PROPN
ejpam-4020	125	8	b	b	PROPN
ejpam-4020	125	9	a	a	DET
ejpam-4020	125	10	g(t	g(t	PROPN
ejpam-4020	125	11	,	,	PUNCT
ejpam-4020	125	12	s)(p(s)u	s)(p(s)u	PROPN
ejpam-4020	125	13	′′′′	′′′′	PROPN
ejpam-4020	125	14	p	p	PROPN
ejpam-4020	125	15	(	(	PUNCT
ejpam-4020	125	16	s	s	X
ejpam-4020	125	17	)	)	PUNCT
ejpam-4020	126	1	+	+	CCONJ
ejpam-4020	126	2	q(s)u	q(s)u	PROPN
ejpam-4020	127	1	′′′	′′′	PROPN
ejpam-4020	128	1	p	p	X
ejpam-4020	128	2	(	(	PUNCT
ejpam-4020	128	3	s	s	NOUN
ejpam-4020	128	4	)	)	PUNCT
ejpam-4020	129	1	+	+	X
ejpam-4020	129	2	r(s)u	r(s)u	X
ejpam-4020	129	3	′′	′′	ADJ
ejpam-4020	129	4	p(s	p(s	NOUN
ejpam-4020	129	5	)	)	PUNCT
ejpam-4020	130	1	+	+	NUM
ejpam-4020	130	2	h(s)u	h(s)u	ADP
ejpam-4020	130	3	′	′	NUM
ejpam-4020	130	4	p(s	p(s	NOUN
ejpam-4020	130	5	)	)	PUNCT
ejpam-4020	130	6	(	(	PUNCT
ejpam-4020	130	7	21	21	NUM
ejpam-4020	130	8	)	)	PUNCT
ejpam-4020	131	1	+	+	NOUN
ejpam-4020	131	2	g(s)up(s)−	g(s)up(s)−	ADP
ejpam-4020	131	3	f(s	f(	NOUN
ejpam-4020	131	4	,	,	PUNCT
ejpam-4020	131	5	up	up	ADV
ejpam-4020	131	6	,	,	PUNCT
ejpam-4020	131	7	u	u	NOUN
ejpam-4020	131	8	′	′	NOUN
ejpam-4020	132	1	p	p	X
ejpam-4020	132	2	,	,	PUNCT
ejpam-4020	132	3	u	u	NOUN
ejpam-4020	132	4	′′	′′	PROPN
ejpam-4020	132	5	p	p	PROPN
ejpam-4020	132	6	,	,	PUNCT
ejpam-4020	132	7	u	u	NOUN
ejpam-4020	132	8	′′′	′′′	PROPN
ejpam-4020	132	9	p	p	NOUN
ejpam-4020	132	10	)	)	PUNCT
ejpam-4020	132	11	)	)	PUNCT
ejpam-4020	133	1	ds	ds	AUX
ejpam-4020	133	2	.	.	X
ejpam-4020	133	3	let	let	VERB
ejpam-4020	133	4	up	up	ADP
ejpam-4020	133	5	=	=	VERB
ejpam-4020	133	6	u.	u.	VERB
ejpam-4020	133	7	the	the	DET
ejpam-4020	133	8	green	green	PROPN
ejpam-4020	133	9	’s	’s	PART
ejpam-4020	133	10	function	function	NOUN
ejpam-4020	133	11	of	of	ADP
ejpam-4020	133	12	eq	eq	PROPN
ejpam-4020	133	13	.	.	PUNCT
ejpam-4020	134	1	(	(	PUNCT
ejpam-4020	134	2	1	1	NUM
ejpam-4020	134	3	)	)	PUNCT
ejpam-4020	134	4	−	−	PROPN
ejpam-4020	134	5	(	(	PUNCT
ejpam-4020	134	6	2	2	X
ejpam-4020	134	7	)	)	PUNCT
ejpam-4020	134	8	is	be	AUX
ejpam-4020	134	9	as	as	SCONJ
ejpam-4020	134	10	follows	follow	VERB
ejpam-4020	134	11	:	:	PUNCT
ejpam-4020	134	12	g(t	g(t	PROPN
ejpam-4020	134	13	,	,	PUNCT
ejpam-4020	134	14	s	s	PART
ejpam-4020	134	15	)	)	PUNCT
ejpam-4020	134	16	=	=	PRON
ejpam-4020	134	17	{	{	PUNCT
ejpam-4020	134	18	−t3	−t3	NOUN
ejpam-4020	134	19	6	6	NUM
ejpam-4020	135	1	+	+	CCONJ
ejpam-4020	135	2	st2	st2	NOUN
ejpam-4020	135	3	2	2	NUM
ejpam-4020	135	4	,	,	PUNCT
ejpam-4020	135	5	0	0	NUM
ejpam-4020	135	6	<	<	X
ejpam-4020	135	7	t	t	X
ejpam-4020	135	8	<	<	X
ejpam-4020	135	9	s	s	PROPN
ejpam-4020	135	10	,	,	PUNCT
ejpam-4020	135	11	−s3	−s3	ADJ
ejpam-4020	135	12	6	6	NUM
ejpam-4020	135	13	+	+	CCONJ
ejpam-4020	135	14	ts2	ts2	ADJ
ejpam-4020	135	15	2	2	NUM
ejpam-4020	135	16	,	,	PUNCT
ejpam-4020	135	17	s	s	VERB
ejpam-4020	135	18	<	<	X
ejpam-4020	135	19	t	t	X
ejpam-4020	135	20	<	<	X
ejpam-4020	135	21	1	1	NUM
ejpam-4020	135	22	,	,	PUNCT
ejpam-4020	135	23	(	(	PUNCT
ejpam-4020	135	24	22	22	NUM
ejpam-4020	135	25	)	)	PUNCT
ejpam-4020	135	26	f.a.akgun	f.a.akgun	NOUN
ejpam-4020	135	27	,	,	PUNCT
ejpam-4020	135	28	z.	z.	PROPN
ejpam-4020	135	29	rasulov	rasulov	PROPN
ejpam-4020	135	30	/	/	SYM
ejpam-4020	135	31	eur	eur	PROPN
ejpam-4020	135	32	.	.	PUNCT
ejpam-4020	136	1	j.	j.	PROPN
ejpam-4020	136	2	pure	pure	PROPN
ejpam-4020	136	3	appl	appl	PROPN
ejpam-4020	136	4	.	.	PROPN
ejpam-4020	136	5	math	math	PROPN
ejpam-4020	136	6	,	,	PUNCT
ejpam-4020	136	7	14	14	NUM
ejpam-4020	136	8	(	(	PUNCT
ejpam-4020	136	9	3	3	NUM
ejpam-4020	136	10	)	)	PUNCT
ejpam-4020	136	11	(	(	PUNCT
ejpam-4020	136	12	2021	2021	NUM
ejpam-4020	136	13	)	)	PUNCT
ejpam-4020	136	14	,	,	PUNCT
ejpam-4020	136	15	969	969	NUM
ejpam-4020	136	16	-	-	SYM
ejpam-4020	136	17	979	979	NUM
ejpam-4020	136	18	973	973	NUM
ejpam-4020	136	19	and	and	CCONJ
ejpam-4020	136	20	the	the	DET
ejpam-4020	136	21	adjoint	adjoint	NOUN
ejpam-4020	136	22	of	of	ADP
ejpam-4020	136	23	eq	eq	PROPN
ejpam-4020	136	24	.	.	PUNCT
ejpam-4020	137	1	(	(	PUNCT
ejpam-4020	137	2	22	22	NUM
ejpam-4020	137	3	)	)	PUNCT
ejpam-4020	137	4	is	be	AUX
ejpam-4020	137	5	as	as	SCONJ
ejpam-4020	137	6	follows	follow	VERB
ejpam-4020	137	7	:	:	PUNCT
ejpam-4020	138	1	g∗(t	g∗(t	NOUN
ejpam-4020	138	2	,	,	PUNCT
ejpam-4020	138	3	s	s	NOUN
ejpam-4020	138	4	)	)	PUNCT
ejpam-4020	138	5	=	=	SYM
ejpam-4020	138	6	−	−	PROPN
ejpam-4020	138	7	{	{	PUNCT
ejpam-4020	138	8	−s3	−s3	PROPN
ejpam-4020	138	9	6	6	NUM
ejpam-4020	138	10	+	+	CCONJ
ejpam-4020	138	11	ts2	ts2	ADJ
ejpam-4020	138	12	2	2	NUM
ejpam-4020	138	13	,	,	PUNCT
ejpam-4020	138	14	0	0	PUNCT
ejpam-4020	138	15	<	<	X
ejpam-4020	138	16	s	s	X
ejpam-4020	138	17	<	<	X
ejpam-4020	138	18	t	t	PROPN
ejpam-4020	138	19	,	,	PUNCT
ejpam-4020	138	20	−t3	−t3	PROPN
ejpam-4020	138	21	6	6	NUM
ejpam-4020	138	22	+	+	CCONJ
ejpam-4020	138	23	st2	st2	NOUN
ejpam-4020	138	24	2	2	NUM
ejpam-4020	138	25	,	,	PUNCT
ejpam-4020	138	26	t	t	X
ejpam-4020	138	27	<	<	X
ejpam-4020	138	28	s	s	X
ejpam-4020	138	29	<	<	X
ejpam-4020	138	30	1	1	NUM
ejpam-4020	138	31	.	.	PUNCT
ejpam-4020	139	1	(	(	PUNCT
ejpam-4020	139	2	23	23	NUM
ejpam-4020	139	3	)	)	PUNCT
ejpam-4020	139	4	by	by	ADP
ejpam-4020	139	5	using	use	VERB
ejpam-4020	139	6	eq	eq	ADP
ejpam-4020	139	7	.	.	PUNCT
ejpam-4020	140	1	(	(	PUNCT
ejpam-4020	140	2	23	23	NUM
ejpam-4020	140	3	)	)	PUNCT
ejpam-4020	140	4	and	and	CCONJ
ejpam-4020	140	5	eq	eq	NOUN
ejpam-4020	140	6	.	.	PUNCT
ejpam-4020	141	1	(	(	PUNCT
ejpam-4020	141	2	15	15	NUM
ejpam-4020	141	3	)	)	PUNCT
ejpam-4020	141	4	,	,	PUNCT
ejpam-4020	141	5	we	we	PRON
ejpam-4020	141	6	have	have	VERB
ejpam-4020	141	7	un+1	un+1	NOUN
ejpam-4020	141	8	=	=	SYM
ejpam-4020	141	9	un	un	PROPN
ejpam-4020	141	10	+	+	CCONJ
ejpam-4020	141	11	∫	∫	PROPN
ejpam-4020	141	12	b	b	PROPN
ejpam-4020	141	13	a	a	DET
ejpam-4020	141	14	g∗(t	g∗(t	NOUN
ejpam-4020	141	15	,	,	PUNCT
ejpam-4020	141	16	s)(u	s)(u	ADP
ejpam-4020	141	17	′′′′	′′′′	PROPN
ejpam-4020	141	18	n	n	CCONJ
ejpam-4020	141	19	(	(	PUNCT
ejpam-4020	141	20	s)−	s)−	PROPN
ejpam-4020	141	21	f(s	f(	NOUN
ejpam-4020	141	22	,	,	PUNCT
ejpam-4020	141	23	un(s	un(	NOUN
ejpam-4020	141	24	)	)	PUNCT
ejpam-4020	141	25	,	,	PUNCT
ejpam-4020	141	26	u	u	NOUN
ejpam-4020	141	27	′	′	NOUN
ejpam-4020	141	28	n(s	n(s	PROPN
ejpam-4020	141	29	)	)	PUNCT
ejpam-4020	141	30	,	,	PUNCT
ejpam-4020	141	31	u	u	NOUN
ejpam-4020	141	32	′′	′′	PROPN
ejpam-4020	141	33	n(s	n(s	PROPN
ejpam-4020	141	34	)	)	PUNCT
ejpam-4020	141	35	,	,	PUNCT
ejpam-4020	141	36	u	u	NOUN
ejpam-4020	141	37	′′′	′′′	PROPN
ejpam-4020	141	38	n	n	PROPN
ejpam-4020	141	39	(	(	PUNCT
ejpam-4020	141	40	s))ds	s))ds	NOUN
ejpam-4020	141	41	.	.	PUNCT
ejpam-4020	142	1	(	(	PUNCT
ejpam-4020	142	2	24	24	NUM
ejpam-4020	142	3	)	)	PUNCT
ejpam-4020	142	4	in	in	ADP
ejpam-4020	142	5	particular	particular	ADJ
ejpam-4020	142	6	,	,	PUNCT
ejpam-4020	142	7	we	we	PRON
ejpam-4020	142	8	have	have	VERB
ejpam-4020	142	9	un+1	un+1	NOUN
ejpam-4020	142	10	=	=	SYM
ejpam-4020	142	11	un	un	PROPN
ejpam-4020	143	1	−	−	PROPN
ejpam-4020	143	2	∫	∫	PROPN
ejpam-4020	143	3	t	t	PROPN
ejpam-4020	143	4	0	0	NUM
ejpam-4020	144	1	(	(	PUNCT
ejpam-4020	144	2	−s3	−s3	PROPN
ejpam-4020	144	3	6	6	NUM
ejpam-4020	144	4	+	+	CCONJ
ejpam-4020	144	5	ts2	ts2	ADJ
ejpam-4020	144	6	2	2	NUM
ejpam-4020	144	7	)	)	PUNCT
ejpam-4020	144	8	(	(	PUNCT
ejpam-4020	144	9	u	u	NOUN
ejpam-4020	144	10	′′′′	′′′′	PROPN
ejpam-4020	144	11	n	n	CCONJ
ejpam-4020	144	12	(	(	PUNCT
ejpam-4020	144	13	s)−	s)−	PROPN
ejpam-4020	144	14	f(s	f(	NOUN
ejpam-4020	144	15	,	,	PUNCT
ejpam-4020	144	16	un(s	un(	NOUN
ejpam-4020	144	17	)	)	PUNCT
ejpam-4020	144	18	,	,	PUNCT
ejpam-4020	144	19	u	u	NOUN
ejpam-4020	144	20	′	′	NOUN
ejpam-4020	144	21	n(s	n(s	PROPN
ejpam-4020	144	22	)	)	PUNCT
ejpam-4020	144	23	,	,	PUNCT
ejpam-4020	144	24	u	u	NOUN
ejpam-4020	144	25	′′	′′	PROPN
ejpam-4020	144	26	n(s	n(s	PROPN
ejpam-4020	144	27	)	)	PUNCT
ejpam-4020	144	28	,	,	PUNCT
ejpam-4020	144	29	u	u	NOUN
ejpam-4020	144	30	′′′	′′′	NOUN
ejpam-4020	144	31	n	n	PROPN
ejpam-4020	144	32	(	(	PUNCT
ejpam-4020	144	33	s))ds	s))ds	PROPN
ejpam-4020	144	34	(	(	PUNCT
ejpam-4020	144	35	25	25	NUM
ejpam-4020	144	36	)	)	PUNCT
ejpam-4020	144	37	−	−	NOUN
ejpam-4020	144	38	∫	∫	PROPN
ejpam-4020	144	39	1	1	NUM
ejpam-4020	144	40	t	t	PROPN
ejpam-4020	144	41	(	(	PUNCT
ejpam-4020	144	42	−t3	−t3	PROPN
ejpam-4020	144	43	6	6	NUM
ejpam-4020	144	44	+	+	CCONJ
ejpam-4020	144	45	st2	st2	NOUN
ejpam-4020	144	46	2	2	NUM
ejpam-4020	144	47	)	)	PUNCT
ejpam-4020	144	48	(	(	PUNCT
ejpam-4020	144	49	u	u	NOUN
ejpam-4020	144	50	′′′′	′′′′	PROPN
ejpam-4020	144	51	n	n	CCONJ
ejpam-4020	144	52	(	(	PUNCT
ejpam-4020	144	53	s)−	s)−	PROPN
ejpam-4020	144	54	f(s	f(	NOUN
ejpam-4020	144	55	,	,	PUNCT
ejpam-4020	144	56	un(s	un(	NOUN
ejpam-4020	144	57	)	)	PUNCT
ejpam-4020	144	58	,	,	PUNCT
ejpam-4020	144	59	u	u	NOUN
ejpam-4020	144	60	′	′	NOUN
ejpam-4020	144	61	n(s	n(s	PROPN
ejpam-4020	144	62	)	)	PUNCT
ejpam-4020	144	63	,	,	PUNCT
ejpam-4020	144	64	u	u	NOUN
ejpam-4020	144	65	′′	′′	PROPN
ejpam-4020	144	66	n(s	n(s	PROPN
ejpam-4020	144	67	)	)	PUNCT
ejpam-4020	144	68	,	,	PUNCT
ejpam-4020	144	69	u	u	NOUN
ejpam-4020	144	70	′′′	′′′	PROPN
ejpam-4020	144	71	n	n	PROPN
ejpam-4020	144	72	(	(	PUNCT
ejpam-4020	144	73	s))ds	s))ds	PROPN
ejpam-4020	144	74	.	.	PUNCT
ejpam-4020	145	1	theorem	theorem	NOUN
ejpam-4020	145	2	1	1	NUM
ejpam-4020	145	3	.	.	PUNCT
ejpam-4020	146	1	let	let	VERB
ejpam-4020	146	2	f(t	f(t	PROPN
ejpam-4020	146	3	,	,	PUNCT
ejpam-4020	146	4	u	u	NOUN
ejpam-4020	146	5	,	,	PUNCT
ejpam-4020	146	6	u′	u′	PROPN
ejpam-4020	146	7	,	,	PUNCT
ejpam-4020	146	8	u′′	u′′	PROPN
ejpam-4020	146	9	,	,	PUNCT
ejpam-4020	146	10	u′′′	u′′′	PROPN
ejpam-4020	146	11	)	)	PUNCT
ejpam-4020	146	12	be	be	AUX
ejpam-4020	146	13	a	a	DET
ejpam-4020	146	14	continuous	continuous	ADJ
ejpam-4020	146	15	function	function	NOUN
ejpam-4020	146	16	with	with	ADP
ejpam-4020	146	17	bounded	bounded	ADJ
ejpam-4020	146	18	derivative	derivative	ADJ
ejpam-4020	146	19	u	u	NOUN
ejpam-4020	146	20	and	and	CCONJ
ejpam-4020	146	21	k	k	NOUN
ejpam-4020	147	1	:	:	PUNCT
ejpam-4020	147	2	=	=	SYM
ejpam-4020	147	3	1/8lc	1/8lc	NUM
ejpam-4020	147	4	<	<	X
ejpam-4020	147	5	1	1	NUM
ejpam-4020	147	6	,	,	PUNCT
ejpam-4020	147	7	where	where	SCONJ
ejpam-4020	147	8	lc	lc	PROPN
ejpam-4020	147	9	=	=	SYM
ejpam-4020	147	10	max	max	PROPN
ejpam-4020	148	1	[	[	X
ejpam-4020	148	2	0,1]×r3	0,1]×r3	NUM
ejpam-4020	148	3	|∂(f	|∂(f	NOUN
ejpam-4020	148	4	)	)	PUNCT
ejpam-4020	148	5	∂(u	∂(u	VERB
ejpam-4020	148	6	)	)	PUNCT
ejpam-4020	148	7	|	|	ADV
ejpam-4020	148	8	.	.	PUNCT
ejpam-4020	149	1	then	then	ADV
ejpam-4020	149	2	,	,	PUNCT
ejpam-4020	149	3	the	the	DET
ejpam-4020	149	4	iterative	iterative	NOUN
ejpam-4020	149	5	sequence	sequence	NOUN
ejpam-4020	149	6	un(t)∞(n=1	un(t)∞(n=1	NOUN
ejpam-4020	149	7	)	)	PUNCT
ejpam-4020	149	8	given	give	VERB
ejpam-4020	149	9	in	in	ADP
ejpam-4020	149	10	eq	eq	ADP
ejpam-4020	149	11	.	.	PUNCT
ejpam-4020	150	1	(	(	PUNCT
ejpam-4020	150	2	26	26	NUM
ejpam-4020	150	3	)	)	PUNCT
ejpam-4020	150	4	converges	converge	VERB
ejpam-4020	150	5	uniformly	uniformly	ADV
ejpam-4020	150	6	to	to	ADP
ejpam-4020	150	7	the	the	DET
ejpam-4020	150	8	solution	solution	NOUN
ejpam-4020	150	9	of	of	ADP
ejpam-4020	150	10	eq	eq	PROPN
ejpam-4020	150	11	.	.	PUNCT
ejpam-4020	151	1	(	(	PUNCT
ejpam-4020	151	2	1	1	NUM
ejpam-4020	151	3	)	)	PUNCT
ejpam-4020	151	4	−	−	PROPN
ejpam-4020	151	5	(	(	PUNCT
ejpam-4020	151	6	2	2	NUM
ejpam-4020	151	7	)	)	PUNCT
ejpam-4020	151	8	for	for	ADP
ejpam-4020	151	9	any	any	DET
ejpam-4020	151	10	bounded	bounded	ADJ
ejpam-4020	151	11	function	function	NOUN
ejpam-4020	151	12	f(t	f(t	PROPN
ejpam-4020	151	13	,	,	PUNCT
ejpam-4020	151	14	u	u	NOUN
ejpam-4020	151	15	,	,	PUNCT
ejpam-4020	151	16	u′	u′	PROPN
ejpam-4020	151	17	,	,	PUNCT
ejpam-4020	151	18	u′′	u′′	PROPN
ejpam-4020	151	19	,	,	PUNCT
ejpam-4020	151	20	u′′′	u′′′	PROPN
ejpam-4020	151	21	)	)	PUNCT
ejpam-4020	151	22	on	on	ADP
ejpam-4020	151	23	[	[	X
ejpam-4020	151	24	0,1	0,1	NUM
ejpam-4020	151	25	]	]	PUNCT
ejpam-4020	151	26	.	.	PUNCT
ejpam-4020	152	1	proof	proof	NOUN
ejpam-4020	152	2	.	.	PUNCT
ejpam-4020	153	1	let	let	VERB
ejpam-4020	153	2	‖u‖	‖u‖	PROPN
ejpam-4020	153	3	=	=	PUNCT
ejpam-4020	153	4	max0≤	max0≤	PROPN
ejpam-4020	154	1	t≤1	t≤1	PROPN
ejpam-4020	154	2	|u(t)|	|u(t)|	PROPN
ejpam-4020	154	3	in	in	ADP
ejpam-4020	154	4	c[0	c[0	PROPN
ejpam-4020	154	5	,	,	PUNCT
ejpam-4020	154	6	1	1	NUM
ejpam-4020	154	7	]	]	PUNCT
ejpam-4020	154	8	.	.	PUNCT
ejpam-4020	155	1	by	by	ADP
ejpam-4020	155	2	integrating	integrate	VERB
ejpam-4020	155	3	(	(	PUNCT
ejpam-4020	155	4	26	26	NUM
ejpam-4020	155	5	)	)	PUNCT
ejpam-4020	155	6	by	by	ADP
ejpam-4020	155	7	parts	part	NOUN
ejpam-4020	155	8	,	,	PUNCT
ejpam-4020	155	9	we	we	PRON
ejpam-4020	155	10	get	get	VERB
ejpam-4020	155	11	un+1	un+1	NOUN
ejpam-4020	155	12	(	(	PUNCT
ejpam-4020	155	13	t	t	NOUN
ejpam-4020	155	14	)	)	PUNCT
ejpam-4020	156	1	=	=	SYM
ejpam-4020	156	2	un	un	PROPN
ejpam-4020	156	3	(	(	PUNCT
ejpam-4020	156	4	t	t	PROPN
ejpam-4020	156	5	)	)	PUNCT
ejpam-4020	156	6	+	+	NOUN
ejpam-4020	156	7	g∗(t	g∗(t	NOUN
ejpam-4020	156	8	,	,	PUNCT
ejpam-4020	156	9	1)u	1)u	NUM
ejpam-4020	156	10	′′′	′′′	NOUN
ejpam-4020	156	11	n	n	PROPN
ejpam-4020	156	12	(	(	PUNCT
ejpam-4020	156	13	1)−g∗(t	1)−g∗(t	NUM
ejpam-4020	156	14	,	,	PUNCT
ejpam-4020	156	15	0)u	0)u	NUM
ejpam-4020	156	16	′′′	′′′	PROPN
ejpam-4020	156	17	n	n	PROPN
ejpam-4020	156	18	(	(	PUNCT
ejpam-4020	156	19	0)−g∗s(t	0)−g∗s(t	NUM
ejpam-4020	156	20	,	,	PUNCT
ejpam-4020	156	21	1)u	1)u	NUM
ejpam-4020	156	22	′′	′′	PROPN
ejpam-4020	156	23	n(1	n(1	NOUN
ejpam-4020	156	24	)	)	PUNCT
ejpam-4020	157	1	+	+	PROPN
ejpam-4020	157	2	g∗s(t	g∗s(t	PROPN
ejpam-4020	157	3	,	,	PUNCT
ejpam-4020	157	4	0)u	0)u	PUNCT
ejpam-4020	158	1	′′	′′	PROPN
ejpam-4020	158	2	n(0	n(0	PROPN
ejpam-4020	158	3	)	)	PUNCT
ejpam-4020	158	4	+	+	NOUN
ejpam-4020	158	5	g∗ss(t	g∗ss(t	NOUN
ejpam-4020	158	6	,	,	PUNCT
ejpam-4020	158	7	1)u	1)u	NUM
ejpam-4020	158	8	′	′	NUM
ejpam-4020	158	9	n(1)−g∗ss(t	n(1)−g∗ss(t	PROPN
ejpam-4020	158	10	,	,	PUNCT
ejpam-4020	158	11	0)u	0)u	NUM
ejpam-4020	158	12	′	′	NUM
ejpam-4020	158	13	n(0)−g∗sss(t	n(0)−g∗sss(t	ADP
ejpam-4020	158	14	,	,	PUNCT
ejpam-4020	158	15	1)un(1	1)un(1	NUM
ejpam-4020	158	16	)	)	PUNCT
ejpam-4020	159	1	+	+	PROPN
ejpam-4020	159	2	g∗sss(t	g∗sss(t	PROPN
ejpam-4020	159	3	,	,	PUNCT
ejpam-4020	159	4	0)un(0	0)un(0	NUM
ejpam-4020	159	5	)	)	PUNCT
ejpam-4020	160	1	+	+	CCONJ
ejpam-4020	160	2	∫	∫	PROPN
ejpam-4020	160	3	1	1	NUM
ejpam-4020	160	4	0	0	NUM
ejpam-4020	160	5	g∗ssss(t	g∗ssss(t	NOUN
ejpam-4020	160	6	,	,	PUNCT
ejpam-4020	160	7	s)un(s)ds−	s)un(s)ds−	NOUN
ejpam-4020	160	8	∫	∫	PROPN
ejpam-4020	160	9	1	1	NUM
ejpam-4020	160	10	0	0	NUM
ejpam-4020	160	11	g∗(t	g∗(t	NOUN
ejpam-4020	160	12	,	,	PUNCT
ejpam-4020	160	13	s)f(s	s)f(	NOUN
ejpam-4020	160	14	,	,	PUNCT
ejpam-4020	160	15	un(s	un(s	NUM
ejpam-4020	160	16	)	)	PUNCT
ejpam-4020	160	17	,	,	PUNCT
ejpam-4020	160	18	u	u	NOUN
ejpam-4020	160	19	′	′	NOUN
ejpam-4020	160	20	n(s	n(s	PROPN
ejpam-4020	160	21	)	)	PUNCT
ejpam-4020	160	22	,	,	PUNCT
ejpam-4020	160	23	u	u	NOUN
ejpam-4020	160	24	′′	′′	PROPN
ejpam-4020	160	25	n(s	n(s	PROPN
ejpam-4020	160	26	)	)	PUNCT
ejpam-4020	160	27	,	,	PUNCT
ejpam-4020	160	28	u	u	NOUN
ejpam-4020	160	29	′′′	′′′	PROPN
ejpam-4020	160	30	n	n	PROPN
ejpam-4020	160	31	(	(	PUNCT
ejpam-4020	160	32	s))ds	s))ds	NOUN
ejpam-4020	160	33	.	.	PUNCT
ejpam-4020	161	1	(	(	PUNCT
ejpam-4020	161	2	26	26	NUM
ejpam-4020	161	3	)	)	PUNCT
ejpam-4020	161	4	by	by	ADP
ejpam-4020	161	5	using	use	VERB
ejpam-4020	161	6	(	(	PUNCT
ejpam-4020	161	7	18	18	NUM
ejpam-4020	161	8	)	)	PUNCT
ejpam-4020	161	9	and	and	CCONJ
ejpam-4020	161	10	the	the	DET
ejpam-4020	161	11	conditions	condition	NOUN
ejpam-4020	161	12	of	of	ADP
ejpam-4020	161	13	green	green	PROPN
ejpam-4020	161	14	’s	’s	PART
ejpam-4020	161	15	function	function	NOUN
ejpam-4020	161	16	in	in	ADP
ejpam-4020	161	17	eq	eq	ADP
ejpam-4020	161	18	.	.	PUNCT
ejpam-4020	162	1	(	(	PUNCT
ejpam-4020	162	2	26	26	NUM
ejpam-4020	162	3	)	)	PUNCT
ejpam-4020	162	4	,	,	PUNCT
ejpam-4020	162	5	we	we	PRON
ejpam-4020	162	6	obtain	obtain	VERB
ejpam-4020	162	7	un+1	un+1	NOUN
ejpam-4020	162	8	(	(	PUNCT
ejpam-4020	162	9	t	t	NOUN
ejpam-4020	162	10	)	)	PUNCT
ejpam-4020	162	11	=	=	PUNCT
ejpam-4020	163	1	t3ω	t3ω	PROPN
ejpam-4020	163	2	6	6	NUM
ejpam-4020	163	3	+	+	CCONJ
ejpam-4020	163	4	γ	γ	PROPN
ejpam-4020	163	5	+	+	PROPN
ejpam-4020	163	6	ω	ω	NUM
ejpam-4020	163	7	2	2	NUM
ejpam-4020	163	8	t2	t2	NOUN
ejpam-4020	163	9	+	+	CCONJ
ejpam-4020	163	10	βt−	βt−	PUNCT
ejpam-4020	163	11	α−	α−	ADP
ejpam-4020	163	12	∫	∫	PROPN
ejpam-4020	163	13	1	1	NUM
ejpam-4020	163	14	0	0	NUM
ejpam-4020	163	15	g∗(t	g∗(t	NOUN
ejpam-4020	163	16	,	,	PUNCT
ejpam-4020	163	17	s)(f(s	s)(f(s	ADV
ejpam-4020	163	18	,	,	PUNCT
ejpam-4020	163	19	un(s	un(s	NUM
ejpam-4020	163	20	)	)	PUNCT
ejpam-4020	163	21	,	,	PUNCT
ejpam-4020	163	22	u	u	NOUN
ejpam-4020	163	23	′	′	NOUN
ejpam-4020	163	24	n(s	n(s	PROPN
ejpam-4020	163	25	)	)	PUNCT
ejpam-4020	163	26	,	,	PUNCT
ejpam-4020	163	27	u	u	NOUN
ejpam-4020	163	28	′′	′′	PROPN
ejpam-4020	163	29	n(s	n(s	PROPN
ejpam-4020	163	30	)	)	PUNCT
ejpam-4020	163	31	,	,	PUNCT
ejpam-4020	163	32	u	u	NOUN
ejpam-4020	163	33	′′′	′′′	PROPN
ejpam-4020	163	34	n	n	PROPN
ejpam-4020	163	35	(	(	PUNCT
ejpam-4020	163	36	s))ds	s))ds	NOUN
ejpam-4020	163	37	.	.	PUNCT
ejpam-4020	164	1	(	(	PUNCT
ejpam-4020	164	2	27	27	NUM
ejpam-4020	164	3	)	)	PUNCT
ejpam-4020	164	4	let	let	VERB
ejpam-4020	164	5	un+1	un+1	NOUN
ejpam-4020	164	6	=	=	SYM
ejpam-4020	164	7	tg(u	tg(u	X
ejpam-4020	164	8	)	)	PUNCT
ejpam-4020	164	9	where	where	SCONJ
ejpam-4020	164	10	tg	tg	PROPN
ejpam-4020	164	11	:	:	PUNCT
ejpam-4020	164	12	c[0	c[0	PROPN
ejpam-4020	164	13	,	,	PUNCT
ejpam-4020	164	14	1]→	1]→	NOUN
ejpam-4020	164	15	c[0	c[0	PROPN
ejpam-4020	164	16	,	,	PUNCT
ejpam-4020	164	17	1	1	NUM
ejpam-4020	164	18	]	]	PUNCT
ejpam-4020	164	19	,	,	PUNCT
ejpam-4020	164	20	then	then	ADV
ejpam-4020	164	21	tg(u	tg(u	NUM
ejpam-4020	164	22	)	)	PUNCT
ejpam-4020	164	23	≡	≡	PROPN
ejpam-4020	164	24	ω	ω	PROPN
ejpam-4020	164	25	6	6	NUM
ejpam-4020	164	26	t3	t3	NOUN
ejpam-4020	164	27	+	+	CCONJ
ejpam-4020	164	28	γ	γ	PROPN
ejpam-4020	164	29	+	+	PROPN
ejpam-4020	164	30	ω	ω	NUM
ejpam-4020	164	31	2	2	NUM
ejpam-4020	164	32	t2	t2	NOUN
ejpam-4020	164	33	+	+	CCONJ
ejpam-4020	164	34	βt−	βt−	PUNCT
ejpam-4020	164	35	α−	α−	ADP
ejpam-4020	164	36	∫	∫	PROPN
ejpam-4020	164	37	1	1	NUM
ejpam-4020	164	38	0	0	NUM
ejpam-4020	164	39	g∗(t	g∗(t	NOUN
ejpam-4020	164	40	,	,	PUNCT
ejpam-4020	164	41	s)(f(s	s)(f(s	ADV
ejpam-4020	164	42	,	,	PUNCT
ejpam-4020	164	43	un(s	un(s	NUM
ejpam-4020	164	44	)	)	PUNCT
ejpam-4020	164	45	,	,	PUNCT
ejpam-4020	164	46	u	u	NOUN
ejpam-4020	164	47	′	′	NOUN
ejpam-4020	164	48	n(s	n(s	PROPN
ejpam-4020	164	49	)	)	PUNCT
ejpam-4020	164	50	,	,	PUNCT
ejpam-4020	164	51	u	u	NOUN
ejpam-4020	164	52	′′	′′	PROPN
ejpam-4020	164	53	n(s	n(s	PROPN
ejpam-4020	164	54	)	)	PUNCT
ejpam-4020	164	55	,	,	PUNCT
ejpam-4020	164	56	u	u	NOUN
ejpam-4020	164	57	′′′	′′′	PROPN
ejpam-4020	164	58	n	n	PROPN
ejpam-4020	164	59	(	(	PUNCT
ejpam-4020	164	60	s))ds	s))ds	NOUN
ejpam-4020	164	61	.	.	PUNCT
ejpam-4020	165	1	(	(	PUNCT
ejpam-4020	165	2	28	28	NUM
ejpam-4020	165	3	)	)	PUNCT
ejpam-4020	165	4	theorem	theorem	NOUN
ejpam-4020	165	5	2	2	NUM
ejpam-4020	165	6	.	.	PUNCT
ejpam-4020	166	1	let	let	AUX
ejpam-4020	166	2	tg(u	tg(u	NUM
ejpam-4020	166	3	)	)	PUNCT
ejpam-4020	166	4	be	be	AUX
ejpam-4020	166	5	a	a	DET
ejpam-4020	166	6	contractive	contractive	ADJ
ejpam-4020	166	7	mapping	mapping	NOUN
ejpam-4020	166	8	,	,	PUNCT
ejpam-4020	166	9	then	then	ADV
ejpam-4020	166	10	the	the	DET
ejpam-4020	166	11	fixed	fix	VERB
ejpam-4020	166	12	-	-	PUNCT
ejpam-4020	166	13	point	point	NOUN
ejpam-4020	166	14	iteration	iteration	NOUN
ejpam-4020	166	15	method	method	NOUN
ejpam-4020	166	16	is	be	AUX
ejpam-4020	166	17	convergent	convergent	NOUN
ejpam-4020	166	18	.	.	PUNCT
ejpam-4020	167	1	f.a.akgun	f.a.akgun	PROPN
ejpam-4020	167	2	,	,	PUNCT
ejpam-4020	167	3	z.	z.	PROPN
ejpam-4020	167	4	rasulov	rasulov	PROPN
ejpam-4020	167	5	/	/	SYM
ejpam-4020	167	6	eur	eur	PROPN
ejpam-4020	167	7	.	.	PUNCT
ejpam-4020	168	1	j.	j.	PROPN
ejpam-4020	168	2	pure	pure	PROPN
ejpam-4020	168	3	appl	appl	PROPN
ejpam-4020	168	4	.	.	PROPN
ejpam-4020	168	5	math	math	PROPN
ejpam-4020	168	6	,	,	PUNCT
ejpam-4020	168	7	14	14	NUM
ejpam-4020	168	8	(	(	PUNCT
ejpam-4020	168	9	3	3	NUM
ejpam-4020	168	10	)	)	PUNCT
ejpam-4020	168	11	(	(	PUNCT
ejpam-4020	168	12	2021	2021	NUM
ejpam-4020	168	13	)	)	PUNCT
ejpam-4020	168	14	,	,	PUNCT
ejpam-4020	168	15	969	969	NUM
ejpam-4020	168	16	-	-	SYM
ejpam-4020	168	17	979	979	NUM
ejpam-4020	168	18	974	974	NUM
ejpam-4020	168	19	from	from	ADP
ejpam-4020	168	20	eq	eq	ADP
ejpam-4020	168	21	.	.	PUNCT
ejpam-4020	169	1	(	(	PUNCT
ejpam-4020	169	2	28	28	NUM
ejpam-4020	169	3	)	)	PUNCT
ejpam-4020	169	4	,	,	PUNCT
ejpam-4020	169	5	|tg(u)−	|tg(u)−	NOUN
ejpam-4020	169	6	tg(z)|	tg(z)|	PUNCT
ejpam-4020	170	1	=	=	SYM
ejpam-4020	170	2	|	|	ADV
ejpam-4020	170	3	∫	∫	PROPN
ejpam-4020	170	4	1	1	NUM
ejpam-4020	170	5	0	0	NUM
ejpam-4020	170	6	g∗(t	g∗(t	NOUN
ejpam-4020	170	7	,	,	PUNCT
ejpam-4020	170	8	s)(f(s	s)(f(s	X
ejpam-4020	170	9	,	,	PUNCT
ejpam-4020	170	10	u	u	NOUN
ejpam-4020	170	11	,	,	PUNCT
ejpam-4020	170	12	u	u	NOUN
ejpam-4020	170	13	′	′	NOUN
ejpam-4020	170	14	,	,	PUNCT
ejpam-4020	170	15	u	u	PROPN
ejpam-4020	170	16	′′	′′	PROPN
ejpam-4020	170	17	,	,	PUNCT
ejpam-4020	170	18	u	u	NOUN
ejpam-4020	170	19	′′′	′′′	PROPN
ejpam-4020	170	20	)	)	PUNCT
ejpam-4020	170	21	−	−	PROPN
ejpam-4020	170	22	f(s	f(s	PROPN
ejpam-4020	170	23	,	,	PUNCT
ejpam-4020	170	24	z	z	NOUN
ejpam-4020	170	25	,	,	PUNCT
ejpam-4020	170	26	z	z	NOUN
ejpam-4020	170	27	′	′	NUM
ejpam-4020	170	28	,	,	PUNCT
ejpam-4020	171	1	z	z	PROPN
ejpam-4020	171	2	′′	′′	PROPN
ejpam-4020	171	3	,	,	PUNCT
ejpam-4020	171	4	z	z	PROPN
ejpam-4020	171	5	′′′	′′′	NOUN
ejpam-4020	171	6	)	)	PUNCT
ejpam-4020	171	7	)	)	PUNCT
ejpam-4020	172	1	ds|	ds|	NOUN
ejpam-4020	172	2	,	,	PUNCT
ejpam-4020	172	3	(	(	PUNCT
ejpam-4020	172	4	29	29	NUM
ejpam-4020	172	5	)	)	PUNCT
ejpam-4020	172	6	and	and	CCONJ
ejpam-4020	172	7	by	by	ADP
ejpam-4020	172	8	using	use	VERB
ejpam-4020	172	9	the	the	DET
ejpam-4020	172	10	fact	fact	NOUN
ejpam-4020	172	11	that	that	SCONJ
ejpam-4020	172	12	max	max	PROPN
ejpam-4020	172	13	0≤t≤1	0≤t≤1	PROPN
ejpam-4020	172	14	|	|	ADV
ejpam-4020	172	15	∫	∫	PROPN
ejpam-4020	172	16	1	1	NUM
ejpam-4020	172	17	0	0	NUM
ejpam-4020	172	18	g∗(t	g∗(t	NOUN
ejpam-4020	172	19	,	,	PUNCT
ejpam-4020	172	20	s)ds|	s)ds|	NOUN
ejpam-4020	172	21	=	=	PROPN
ejpam-4020	172	22	1/8	1/8	NUM
ejpam-4020	172	23	,	,	PUNCT
ejpam-4020	172	24	(	(	PUNCT
ejpam-4020	172	25	30	30	NUM
ejpam-4020	172	26	)	)	PUNCT
ejpam-4020	172	27	we	we	PRON
ejpam-4020	172	28	get	get	VERB
ejpam-4020	172	29	|tg(u)−	|tg(u)−	PROPN
ejpam-4020	172	30	tg(z)|	tg(z)|	PUNCT
ejpam-4020	172	31	≤	≤	NUM
ejpam-4020	172	32	1	1	NUM
ejpam-4020	172	33	8	8	NUM
ejpam-4020	172	34	∫	∫	NOUN
ejpam-4020	172	35	1	1	NUM
ejpam-4020	172	36	0	0	NUM
ejpam-4020	172	37	|f(s	|f(	NOUN
ejpam-4020	172	38	,	,	PUNCT
ejpam-4020	172	39	u	u	NOUN
ejpam-4020	172	40	,	,	PUNCT
ejpam-4020	172	41	u	u	NOUN
ejpam-4020	172	42	′	′	NOUN
ejpam-4020	172	43	,	,	PUNCT
ejpam-4020	172	44	u	u	PROPN
ejpam-4020	172	45	′′	′′	PROPN
ejpam-4020	172	46	,	,	PUNCT
ejpam-4020	172	47	u	u	NOUN
ejpam-4020	172	48	′′′	′′′	PROPN
ejpam-4020	172	49	)	)	PUNCT
ejpam-4020	172	50	−	−	PROPN
ejpam-4020	173	1	f(s	f(s	PROPN
ejpam-4020	173	2	,	,	PUNCT
ejpam-4020	173	3	z	z	NOUN
ejpam-4020	173	4	,	,	PUNCT
ejpam-4020	173	5	z	z	NOUN
ejpam-4020	173	6	′	′	NUM
ejpam-4020	173	7	,	,	PUNCT
ejpam-4020	173	8	z	z	PROPN
ejpam-4020	174	1	′′	′′	PROPN
ejpam-4020	174	2	,	,	PUNCT
ejpam-4020	174	3	z	z	PROPN
ejpam-4020	174	4	′′′	′′′	PROPN
ejpam-4020	174	5	)	)	PUNCT
ejpam-4020	174	6	|ds	|ds	X
ejpam-4020	174	7	.	.	PROPN
ejpam-4020	174	8	(	(	PUNCT
ejpam-4020	174	9	31	31	NUM
ejpam-4020	174	10	)	)	PUNCT
ejpam-4020	174	11	by	by	ADP
ejpam-4020	174	12	applying	apply	VERB
ejpam-4020	174	13	mean	mean	NOUN
ejpam-4020	174	14	value	value	NOUN
ejpam-4020	174	15	theorem	theorem	VERB
ejpam-4020	174	16	,	,	PUNCT
ejpam-4020	174	17	we	we	PRON
ejpam-4020	174	18	obtain	obtain	VERB
ejpam-4020	174	19	the	the	DET
ejpam-4020	174	20	following	follow	VERB
ejpam-4020	174	21	inequality	inequality	NOUN
ejpam-4020	174	22	:	:	PUNCT
ejpam-4020	174	23	|tg(u)−	|tg(u)−	PROPN
ejpam-4020	174	24	tg(z)|	tg(z)|	PUNCT
ejpam-4020	174	25	≤	≤	NUM
ejpam-4020	174	26	1	1	NUM
ejpam-4020	174	27	8	8	NUM
ejpam-4020	174	28	max	max	NOUN
ejpam-4020	175	1	[	[	X
ejpam-4020	175	2	0,1	0,1	NUM
ejpam-4020	175	3	]	]	X
ejpam-4020	175	4	|f(t	|f(t	NOUN
ejpam-4020	175	5	,	,	PUNCT
ejpam-4020	175	6	u(t	u(t	NOUN
ejpam-4020	175	7	)	)	PUNCT
ejpam-4020	175	8	,	,	PUNCT
ejpam-4020	175	9	u	u	NOUN
ejpam-4020	175	10	′	′	NOUN
ejpam-4020	175	11	(	(	PUNCT
ejpam-4020	175	12	t	t	PROPN
ejpam-4020	175	13	)	)	PUNCT
ejpam-4020	175	14	,	,	PUNCT
ejpam-4020	175	15	u	u	PRON
ejpam-4020	175	16	′′	′′	PROPN
ejpam-4020	175	17	(	(	PUNCT
ejpam-4020	175	18	t	t	PROPN
ejpam-4020	175	19	)	)	PUNCT
ejpam-4020	175	20	,	,	PUNCT
ejpam-4020	175	21	u	u	PRON
ejpam-4020	175	22	′′′	′′′	PROPN
ejpam-4020	175	23	(	(	PUNCT
ejpam-4020	175	24	t	t	PROPN
ejpam-4020	175	25	)	)	PUNCT
ejpam-4020	175	26	)	)	PUNCT
ejpam-4020	175	27	(	(	PUNCT
ejpam-4020	175	28	32	32	NUM
ejpam-4020	175	29	)	)	PUNCT
ejpam-4020	175	30	−f(t	−f(t	NOUN
ejpam-4020	175	31	,	,	PUNCT
ejpam-4020	175	32	z(t	z(t	NOUN
ejpam-4020	175	33	)	)	PUNCT
ejpam-4020	175	34	,	,	PUNCT
ejpam-4020	175	35	z	z	NOUN
ejpam-4020	175	36	′	′	NUM
ejpam-4020	175	37	(	(	PUNCT
ejpam-4020	175	38	t	t	PROPN
ejpam-4020	175	39	)	)	PUNCT
ejpam-4020	175	40	,	,	PUNCT
ejpam-4020	175	41	z	z	X
ejpam-4020	176	1	′′	′′	PROPN
ejpam-4020	176	2	(	(	PUNCT
ejpam-4020	176	3	t	t	PROPN
ejpam-4020	176	4	)	)	PUNCT
ejpam-4020	176	5	,	,	PUNCT
ejpam-4020	176	6	z	z	PROPN
ejpam-4020	176	7	′′′	′′′	PROPN
ejpam-4020	176	8	(	(	PUNCT
ejpam-4020	176	9	t))|	t))|	PROPN
ejpam-4020	176	10	≤	≤	ADV
ejpam-4020	176	11	1	1	NUM
ejpam-4020	176	12	8	8	NUM
ejpam-4020	176	13	lc‖u−	lc‖u−	NOUN
ejpam-4020	176	14	z‖	z‖	NOUN
ejpam-4020	176	15	,	,	PUNCT
ejpam-4020	176	16	where	where	SCONJ
ejpam-4020	176	17	‖u−	‖u−	PROPN
ejpam-4020	176	18	z‖	z‖	NOUN
ejpam-4020	176	19	=	=	SYM
ejpam-4020	176	20	max0≤t≤1	max0≤t≤1	PROPN
ejpam-4020	176	21	|u(t)−	|u(t)−	PROPN
ejpam-4020	176	22	z(t)|	z(t)|	NOUN
ejpam-4020	176	23	and	and	CCONJ
ejpam-4020	176	24	lc	lc	PROPN
ejpam-4020	176	25	=	=	SYM
ejpam-4020	176	26	max[0,1]×r3	max[0,1]×r3	NOUN
ejpam-4020	176	27	|∂f(t	|∂f(t	NOUN
ejpam-4020	176	28	,	,	PUNCT
ejpam-4020	176	29	u	u	NOUN
ejpam-4020	176	30	,	,	PUNCT
ejpam-4020	176	31	u	u	NOUN
ejpam-4020	176	32	′,u′′,u′′′	′,u′′,u′′′	NOUN
ejpam-4020	176	33	)	)	PUNCT
ejpam-4020	176	34	∂u	∂u	PROPN
ejpam-4020	176	35	|	|	ADV
ejpam-4020	176	36	.	.	PUNCT
ejpam-4020	177	1	from	from	ADP
ejpam-4020	177	2	theorem	theorem	ADJ
ejpam-4020	177	3	1	1	NUM
ejpam-4020	177	4	,	,	PUNCT
ejpam-4020	177	5	we	we	PRON
ejpam-4020	177	6	get	get	VERB
ejpam-4020	177	7	‖tg(u)−	‖tg(u)−	NOUN
ejpam-4020	177	8	tg(z)‖	tg(z)‖	PROPN
ejpam-4020	177	9	≤	≤	PROPN
ejpam-4020	177	10	k‖u−	k‖u−	X
ejpam-4020	177	11	z‖	z‖	PROPN
ejpam-4020	177	12	,	,	PUNCT
ejpam-4020	177	13	(	(	PUNCT
ejpam-4020	177	14	33	33	NUM
ejpam-4020	177	15	)	)	PUNCT
ejpam-4020	177	16	where	where	SCONJ
ejpam-4020	177	17	k	k	PROPN
ejpam-4020	177	18	∈	∈	PROPN
ejpam-4020	177	19	(	(	PUNCT
ejpam-4020	177	20	0	0	NUM
ejpam-4020	177	21	,	,	PUNCT
ejpam-4020	177	22	1	1	NUM
ejpam-4020	177	23	)	)	PUNCT
ejpam-4020	177	24	.	.	PUNCT
ejpam-4020	178	1	this	this	PRON
ejpam-4020	178	2	proves	prove	VERB
ejpam-4020	178	3	that	that	SCONJ
ejpam-4020	178	4	tg	tg	PROPN
ejpam-4020	178	5	is	be	AUX
ejpam-4020	178	6	a	a	DET
ejpam-4020	178	7	contraction	contraction	NOUN
ejpam-4020	178	8	mapping	mapping	NOUN
ejpam-4020	178	9	.	.	PUNCT
ejpam-4020	179	1	on	on	ADP
ejpam-4020	179	2	the	the	DET
ejpam-4020	179	3	other	other	ADJ
ejpam-4020	179	4	hand	hand	NOUN
ejpam-4020	179	5	,	,	PUNCT
ejpam-4020	179	6	the	the	DET
ejpam-4020	179	7	rate	rate	NOUN
ejpam-4020	179	8	of	of	ADP
ejpam-4020	179	9	convergence	convergence	NOUN
ejpam-4020	179	10	can	can	AUX
ejpam-4020	179	11	be	be	AUX
ejpam-4020	179	12	estimated	estimate	VERB
ejpam-4020	179	13	as	as	SCONJ
ejpam-4020	179	14	follows	follow	VERB
ejpam-4020	179	15	.	.	PUNCT
ejpam-4020	180	1	consider	consider	VERB
ejpam-4020	180	2	‖un+1	‖un+1	PUNCT
ejpam-4020	180	3	−	−	VERB
ejpam-4020	181	1	un‖	un‖	NOUN
ejpam-4020	181	2	=	=	PUNCT
ejpam-4020	181	3	‖tg(un)−	‖tg(un)−	PUNCT
ejpam-4020	181	4	tg(un−1)‖	tg(un−1)‖	NOUN
ejpam-4020	181	5	≤	≤	X
ejpam-4020	182	1	k‖un	k‖un	DET
ejpam-4020	182	2	−	−	PROPN
ejpam-4020	182	3	un−1‖	un−1‖	PROPN
ejpam-4020	182	4	≤	≤	PROPN
ejpam-4020	182	5	kn‖u1	kn‖u1	VERB
ejpam-4020	182	6	−	−	PROPN
ejpam-4020	182	7	u0‖.	u0‖.	PROPN
ejpam-4020	182	8	(	(	PUNCT
ejpam-4020	182	9	34	34	NUM
ejpam-4020	182	10	)	)	PUNCT
ejpam-4020	182	11	if	if	SCONJ
ejpam-4020	182	12	m	m	VERB
ejpam-4020	182	13	>	>	X
ejpam-4020	182	14	n	n	CCONJ
ejpam-4020	182	15	>	>	X
ejpam-4020	182	16	0	0	NUM
ejpam-4020	182	17	,	,	PUNCT
ejpam-4020	182	18	from	from	ADP
ejpam-4020	182	19	eq	eq	ADP
ejpam-4020	182	20	.	.	PUNCT
ejpam-4020	183	1	(	(	PUNCT
ejpam-4020	183	2	34	34	NUM
ejpam-4020	183	3	)	)	PUNCT
ejpam-4020	183	4	,	,	PUNCT
ejpam-4020	183	5	we	we	PRON
ejpam-4020	183	6	obtain	obtain	VERB
ejpam-4020	183	7	‖um	‖um	NUM
ejpam-4020	184	1	−	−	NOUN
ejpam-4020	184	2	un‖	un‖	NOUN
ejpam-4020	184	3	=	=	SYM
ejpam-4020	184	4	‖um	‖um	NUM
ejpam-4020	184	5	−	−	NOUN
ejpam-4020	184	6	um−1‖+	um−1‖+	NOUN
ejpam-4020	184	7	...	...	PUNCT
ejpam-4020	184	8	+	+	CCONJ
ejpam-4020	184	9	‖un+1	‖un+1	PUNCT
ejpam-4020	184	10	−	−	NOUN
ejpam-4020	184	11	un‖	un‖	PROPN
ejpam-4020	184	12	≤	≤	NOUN
ejpam-4020	184	13	(	(	PUNCT
ejpam-4020	184	14	km−1	km−1	PROPN
ejpam-4020	184	15	+	+	CCONJ
ejpam-4020	184	16	...	...	PUNCT
ejpam-4020	185	1	+	+	ADJ
ejpam-4020	185	2	kn)‖u1	kn)‖u1	PROPN
ejpam-4020	185	3	−	−	PROPN
ejpam-4020	185	4	u0‖	u0‖	PROPN
ejpam-4020	185	5	≤	≤	ADJ
ejpam-4020	185	6	kn(1	kn(1	X
ejpam-4020	185	7	+	+	PROPN
ejpam-4020	185	8	k	k	PROPN
ejpam-4020	185	9	+	+	ADJ
ejpam-4020	185	10	k2	k2	ADJ
ejpam-4020	185	11	+	+	CCONJ
ejpam-4020	185	12	k3	k3	ADJ
ejpam-4020	185	13	+	+	X
ejpam-4020	185	14	...	...	PUNCT
ejpam-4020	185	15	)	)	PUNCT
ejpam-4020	186	1	‖u1	‖u1	ADV
ejpam-4020	186	2	−	−	NOUN
ejpam-4020	187	1	u0‖	u0‖	NUM
ejpam-4020	187	2	=	=	SYM
ejpam-4020	187	3	kn	kn	PROPN
ejpam-4020	187	4	1−k	1−k	NUM
ejpam-4020	187	5	‖u1	‖u1	NOUN
ejpam-4020	187	6	−	−	PROPN
ejpam-4020	187	7	u0‖.	u0‖.	PROPN
ejpam-4020	187	8	(	(	PUNCT
ejpam-4020	187	9	35	35	NUM
ejpam-4020	187	10	)	)	PUNCT
ejpam-4020	187	11	the	the	DET
ejpam-4020	187	12	estimated	estimate	VERB
ejpam-4020	187	13	error	error	NOUN
ejpam-4020	187	14	is	be	AUX
ejpam-4020	187	15	‖u∗	‖u∗	NOUN
ejpam-4020	187	16	−	−	NOUN
ejpam-4020	187	17	un‖	un‖	NOUN
ejpam-4020	187	18	≤	≤	NUM
ejpam-4020	187	19	kn	kn	PROPN
ejpam-4020	187	20	1−k	1−k	NUM
ejpam-4020	188	1	‖u1	‖u1	NOUN
ejpam-4020	188	2	−	−	PROPN
ejpam-4020	189	1	u0‖	u0‖	PROPN
ejpam-4020	189	2	(	(	PUNCT
ejpam-4020	189	3	36	36	NUM
ejpam-4020	189	4	)	)	PUNCT
ejpam-4020	189	5	while	while	SCONJ
ejpam-4020	189	6	n→∞.	n→∞.	PUNCT
ejpam-4020	189	7	we	we	PRON
ejpam-4020	189	8	establish	establish	VERB
ejpam-4020	189	9	the	the	DET
ejpam-4020	189	10	convergence	convergence	NOUN
ejpam-4020	189	11	of	of	ADP
ejpam-4020	189	12	mgem	mgem	NOUN
ejpam-4020	189	13	analogously	analogously	ADV
ejpam-4020	189	14	.	.	PUNCT
ejpam-4020	190	1	f.a.akgun	f.a.akgun	PROPN
ejpam-4020	190	2	,	,	PUNCT
ejpam-4020	190	3	z.	z.	PROPN
ejpam-4020	190	4	rasulov	rasulov	PROPN
ejpam-4020	190	5	/	/	SYM
ejpam-4020	190	6	eur	eur	PROPN
ejpam-4020	190	7	.	.	PUNCT
ejpam-4020	191	1	j.	j.	PROPN
ejpam-4020	191	2	pure	pure	PROPN
ejpam-4020	191	3	appl	appl	PROPN
ejpam-4020	191	4	.	.	PROPN
ejpam-4020	191	5	math	math	PROPN
ejpam-4020	191	6	,	,	PUNCT
ejpam-4020	191	7	14	14	NUM
ejpam-4020	191	8	(	(	PUNCT
ejpam-4020	191	9	3	3	NUM
ejpam-4020	191	10	)	)	PUNCT
ejpam-4020	191	11	(	(	PUNCT
ejpam-4020	191	12	2021	2021	NUM
ejpam-4020	191	13	)	)	PUNCT
ejpam-4020	191	14	,	,	PUNCT
ejpam-4020	191	15	969	969	NUM
ejpam-4020	191	16	-	-	SYM
ejpam-4020	191	17	979	979	NUM
ejpam-4020	191	18	975	975	NUM
ejpam-4020	191	19	6	6	NUM
ejpam-4020	191	20	.	.	PUNCT
ejpam-4020	192	1	numerical	numerical	ADJ
ejpam-4020	192	2	examples	example	NOUN
ejpam-4020	192	3	in	in	ADP
ejpam-4020	192	4	this	this	DET
ejpam-4020	192	5	section	section	NOUN
ejpam-4020	192	6	,	,	PUNCT
ejpam-4020	192	7	we	we	PRON
ejpam-4020	192	8	give	give	VERB
ejpam-4020	192	9	numerical	numerical	ADJ
ejpam-4020	192	10	examples	example	NOUN
ejpam-4020	192	11	to	to	PART
ejpam-4020	192	12	confirm	confirm	VERB
ejpam-4020	192	13	the	the	DET
ejpam-4020	192	14	applicability	applicability	NOUN
ejpam-4020	192	15	of	of	ADP
ejpam-4020	192	16	the	the	DET
ejpam-4020	192	17	main	main	ADJ
ejpam-4020	192	18	results	result	NOUN
ejpam-4020	192	19	.	.	PUNCT
ejpam-4020	193	1	example	example	NOUN
ejpam-4020	193	2	1	1	NUM
ejpam-4020	193	3	.	.	X
ejpam-4020	194	1	consider	consider	VERB
ejpam-4020	194	2	the	the	DET
ejpam-4020	194	3	fourth	fourth	ADJ
ejpam-4020	194	4	order	order	NOUN
ejpam-4020	194	5	bvp	bvp	VERB
ejpam-4020	194	6	u	u	PROPN
ejpam-4020	194	7	′′′′	′′′′	PROPN
ejpam-4020	194	8	(	(	PUNCT
ejpam-4020	194	9	t	t	PROPN
ejpam-4020	194	10	)	)	PUNCT
ejpam-4020	194	11	=	=	PUNCT
ejpam-4020	195	1	−3	−3	NOUN
ejpam-4020	195	2	u	u	NOUN
ejpam-4020	195	3	′	′	NUM
ejpam-4020	195	4	u	u	NOUN
ejpam-4020	195	5	′′′	′′′	PROPN
ejpam-4020	195	6	1152	1152	NUM
ejpam-4020	195	7	+	+	CCONJ
ejpam-4020	195	8	(	(	PUNCT
ejpam-4020	195	9	u	u	NOUN
ejpam-4020	195	10	′′	′′	PROPN
ejpam-4020	195	11	)	)	PUNCT
ejpam-4020	195	12	2	2	NUM
ejpam-4020	195	13	576	576	NUM
ejpam-4020	195	14	+	+	CCONJ
ejpam-4020	195	15	t	t	PROPN
ejpam-4020	195	16	4	4	NUM
ejpam-4020	195	17	+	+	CCONJ
ejpam-4020	195	18	95	95	NUM
ejpam-4020	195	19	4	4	NUM
ejpam-4020	195	20	,	,	PUNCT
ejpam-4020	195	21	(	(	PUNCT
ejpam-4020	195	22	37	37	NUM
ejpam-4020	195	23	)	)	PUNCT
ejpam-4020	195	24	with	with	ADP
ejpam-4020	195	25	the	the	DET
ejpam-4020	195	26	boundary	boundary	ADJ
ejpam-4020	195	27	conditions	condition	NOUN
ejpam-4020	195	28	u(0	u(0	NOUN
ejpam-4020	195	29	)	)	PUNCT
ejpam-4020	195	30	=	=	SYM
ejpam-4020	195	31	u	u	NOUN
ejpam-4020	195	32	′	′	NUM
ejpam-4020	195	33	(	(	PUNCT
ejpam-4020	195	34	0	0	NUM
ejpam-4020	195	35	)	)	PUNCT
ejpam-4020	195	36	=	=	SYM
ejpam-4020	195	37	u	u	PROPN
ejpam-4020	195	38	′′	′′	PROPN
ejpam-4020	195	39	(	(	PUNCT
ejpam-4020	195	40	1	1	NUM
ejpam-4020	195	41	)	)	PUNCT
ejpam-4020	195	42	=	=	SYM
ejpam-4020	195	43	u	u	SYM
ejpam-4020	195	44	′′′	′′′	PROPN
ejpam-4020	195	45	(	(	PUNCT
ejpam-4020	195	46	1	1	X
ejpam-4020	195	47	)	)	PUNCT
ejpam-4020	195	48	=	=	SYM
ejpam-4020	195	49	0	0	X
ejpam-4020	195	50	.	.	PUNCT
ejpam-4020	196	1	(	(	PUNCT
ejpam-4020	196	2	38	38	NUM
ejpam-4020	196	3	)	)	PUNCT
ejpam-4020	196	4	the	the	DET
ejpam-4020	196	5	exact	exact	ADJ
ejpam-4020	196	6	solution	solution	NOUN
ejpam-4020	196	7	of	of	ADP
ejpam-4020	196	8	eq	eq	PROPN
ejpam-4020	196	9	.	.	PUNCT
ejpam-4020	197	1	(	(	PUNCT
ejpam-4020	197	2	37	37	NUM
ejpam-4020	197	3	)	)	PUNCT
ejpam-4020	197	4	−	−	PROPN
ejpam-4020	197	5	(	(	PUNCT
ejpam-4020	197	6	38	38	NUM
ejpam-4020	197	7	)	)	PUNCT
ejpam-4020	197	8	is	be	AUX
ejpam-4020	197	9	u(t	u(t	NOUN
ejpam-4020	197	10	)	)	PUNCT
ejpam-4020	198	1	=	=	SYM
ejpam-4020	198	2	t4	t4	PROPN
ejpam-4020	198	3	−	−	PROPN
ejpam-4020	198	4	4t3	4t3	NUM
ejpam-4020	198	5	+	+	CCONJ
ejpam-4020	198	6	6t2	6t2	NUM
ejpam-4020	198	7	,	,	PUNCT
ejpam-4020	198	8	(	(	PUNCT
ejpam-4020	198	9	39	39	NUM
ejpam-4020	198	10	)	)	PUNCT
ejpam-4020	198	11	and	and	CCONJ
ejpam-4020	198	12	the	the	DET
ejpam-4020	198	13	green	green	PROPN
ejpam-4020	198	14	’s	’s	PART
ejpam-4020	198	15	function	function	NOUN
ejpam-4020	198	16	is	be	AUX
ejpam-4020	198	17	g(t	g(t	PROPN
ejpam-4020	198	18	,	,	PUNCT
ejpam-4020	198	19	s	s	PART
ejpam-4020	198	20	)	)	PUNCT
ejpam-4020	199	1	=	=	PRON
ejpam-4020	199	2	{	{	PUNCT
ejpam-4020	199	3	−t3	−t3	NOUN
ejpam-4020	199	4	6	6	NUM
ejpam-4020	199	5	+	+	CCONJ
ejpam-4020	199	6	st2	st2	NOUN
ejpam-4020	199	7	2	2	NUM
ejpam-4020	199	8	,	,	PUNCT
ejpam-4020	199	9	0	0	NUM
ejpam-4020	199	10	<	<	X
ejpam-4020	199	11	t	t	X
ejpam-4020	199	12	<	<	X
ejpam-4020	199	13	s	s	X
ejpam-4020	199	14	−s3	−s3	ADJ
ejpam-4020	199	15	6	6	NUM
ejpam-4020	199	16	+	+	CCONJ
ejpam-4020	199	17	ts2	ts2	ADJ
ejpam-4020	199	18	2	2	NUM
ejpam-4020	199	19	,	,	PUNCT
ejpam-4020	199	20	s	s	VERB
ejpam-4020	199	21	<	<	X
ejpam-4020	199	22	t	t	X
ejpam-4020	199	23	<	<	X
ejpam-4020	199	24	1	1	NUM
ejpam-4020	199	25	.	.	PUNCT
ejpam-4020	199	26	(	(	PUNCT
ejpam-4020	199	27	40	40	NUM
ejpam-4020	199	28	)	)	PUNCT
ejpam-4020	199	29	by	by	ADP
ejpam-4020	199	30	applying	apply	VERB
ejpam-4020	199	31	pgem	pgem	NOUN
ejpam-4020	199	32	,	,	PUNCT
ejpam-4020	199	33	we	we	PRON
ejpam-4020	199	34	get	get	VERB
ejpam-4020	199	35	un+1	un+1	ADV
ejpam-4020	199	36	=	=	SYM
ejpam-4020	199	37	un	un	PROPN
ejpam-4020	199	38	−	−	PROPN
ejpam-4020	199	39	∫	∫	PROPN
ejpam-4020	199	40	t	t	PROPN
ejpam-4020	199	41	0	0	NUM
ejpam-4020	199	42	(	(	PUNCT
ejpam-4020	199	43	−s3	−s3	PROPN
ejpam-4020	199	44	6	6	NUM
ejpam-4020	199	45	+	+	CCONJ
ejpam-4020	199	46	ts2	ts2	ADJ
ejpam-4020	199	47	2	2	NUM
ejpam-4020	199	48	)	)	PUNCT
ejpam-4020	199	49	(	(	PUNCT
ejpam-4020	199	50	u	u	NOUN
ejpam-4020	199	51	′′′′	′′′′	PROPN
ejpam-4020	199	52	n	n	CCONJ
ejpam-4020	199	53	(	(	PUNCT
ejpam-4020	199	54	s	s	X
ejpam-4020	199	55	)	)	PUNCT
ejpam-4020	199	56	+	+	CCONJ
ejpam-4020	199	57	3	3	NUM
ejpam-4020	199	58	u	u	NOUN
ejpam-4020	199	59	′	′	NOUN
ejpam-4020	199	60	nu	nu	INTJ
ejpam-4020	199	61	′′′	′′′	PROPN
ejpam-4020	199	62	n	n	ADV
ejpam-4020	199	63	1152	1152	NUM
ejpam-4020	199	64	−	−	PROPN
ejpam-4020	200	1	(	(	PUNCT
ejpam-4020	200	2	u	u	NOUN
ejpam-4020	200	3	′′	′′	PROPN
ejpam-4020	200	4	n)2	n)2	VERB
ejpam-4020	200	5	576	576	NUM
ejpam-4020	200	6	−	−	NOUN
ejpam-4020	200	7	s	s	NOUN
ejpam-4020	200	8	4	4	NUM
ejpam-4020	200	9	−	−	NOUN
ejpam-4020	200	10	95	95	NUM
ejpam-4020	200	11	4	4	NUM
ejpam-4020	200	12	)	)	PUNCT
ejpam-4020	200	13	ds	ds	NOUN
ejpam-4020	200	14	(	(	PUNCT
ejpam-4020	200	15	41	41	NUM
ejpam-4020	200	16	)	)	PUNCT
ejpam-4020	200	17	−	−	NOUN
ejpam-4020	200	18	∫	∫	PROPN
ejpam-4020	200	19	1	1	NUM
ejpam-4020	200	20	t	t	PROPN
ejpam-4020	200	21	(	(	PUNCT
ejpam-4020	200	22	−t3	−t3	PROPN
ejpam-4020	200	23	6	6	NUM
ejpam-4020	201	1	+	+	CCONJ
ejpam-4020	201	2	st2	st2	NOUN
ejpam-4020	201	3	2	2	NUM
ejpam-4020	201	4	)	)	PUNCT
ejpam-4020	201	5	(	(	PUNCT
ejpam-4020	201	6	u	u	NOUN
ejpam-4020	201	7	′′′′	′′′′	PROPN
ejpam-4020	201	8	n	n	CCONJ
ejpam-4020	201	9	(	(	PUNCT
ejpam-4020	201	10	s	s	X
ejpam-4020	201	11	)	)	PUNCT
ejpam-4020	201	12	+	+	CCONJ
ejpam-4020	201	13	3	3	NUM
ejpam-4020	201	14	u	u	NOUN
ejpam-4020	201	15	′	′	NOUN
ejpam-4020	201	16	nu	nu	INTJ
ejpam-4020	201	17	′′′	′′′	PROPN
ejpam-4020	201	18	n	n	ADV
ejpam-4020	201	19	1152	1152	NUM
ejpam-4020	201	20	−	−	PROPN
ejpam-4020	202	1	(	(	PUNCT
ejpam-4020	202	2	u	u	NOUN
ejpam-4020	202	3	′′	′′	PROPN
ejpam-4020	202	4	n)2	n)2	VERB
ejpam-4020	202	5	576	576	NUM
ejpam-4020	202	6	−	−	NOUN
ejpam-4020	202	7	s	s	NOUN
ejpam-4020	202	8	4	4	NUM
ejpam-4020	202	9	−	−	NUM
ejpam-4020	202	10	95	95	NUM
ejpam-4020	202	11	4	4	NUM
ejpam-4020	202	12	)	)	PUNCT
ejpam-4020	202	13	ds	ds	PROPN
ejpam-4020	202	14	,	,	PUNCT
ejpam-4020	202	15	where	where	SCONJ
ejpam-4020	202	16	the	the	DET
ejpam-4020	202	17	starting	starting	NOUN
ejpam-4020	202	18	function	function	NOUN
ejpam-4020	202	19	is	be	AUX
ejpam-4020	202	20	u0	u0	ADJ
ejpam-4020	202	21	=	=	ADJ
ejpam-4020	202	22	0	0	NUM
ejpam-4020	202	23	.	.	PUNCT
ejpam-4020	203	1	the	the	DET
ejpam-4020	203	2	absolute	absolute	ADJ
ejpam-4020	203	3	error	error	NOUN
ejpam-4020	203	4	of	of	ADP
ejpam-4020	203	5	the	the	DET
ejpam-4020	203	6	problem	problem	NOUN
ejpam-4020	203	7	is	be	AUX
ejpam-4020	203	8	estimated	estimate	VERB
ejpam-4020	203	9	by	by	ADP
ejpam-4020	203	10	err	err	NOUN
ejpam-4020	203	11	=	=	SYM
ejpam-4020	203	12	|u(t)−	|u(t)−	NOUN
ejpam-4020	203	13	un(t)|	un(t)|	ADJ
ejpam-4020	203	14	.	.	PUNCT
ejpam-4020	204	1	(	(	PUNCT
ejpam-4020	204	2	42	42	NUM
ejpam-4020	204	3	)	)	PUNCT
ejpam-4020	204	4	table	table	NOUN
ejpam-4020	204	5	1	1	NUM
ejpam-4020	204	6	shows	show	VERB
ejpam-4020	204	7	the	the	DET
ejpam-4020	204	8	maximum	maximum	ADJ
ejpam-4020	204	9	errors	error	NOUN
ejpam-4020	204	10	obtained	obtain	VERB
ejpam-4020	204	11	by	by	ADP
ejpam-4020	204	12	pgem	pgem	NOUN
ejpam-4020	204	13	for	for	ADP
ejpam-4020	204	14	several	several	ADJ
ejpam-4020	204	15	iterations	iteration	NOUN
ejpam-4020	204	16	,	,	PUNCT
ejpam-4020	204	17	which	which	PRON
ejpam-4020	204	18	indicate	indicate	VERB
ejpam-4020	204	19	high	high	ADJ
ejpam-4020	204	20	accuracy	accuracy	NOUN
ejpam-4020	204	21	.	.	PUNCT
ejpam-4020	205	1	meanwhile	meanwhile	ADV
ejpam-4020	205	2	,	,	PUNCT
ejpam-4020	205	3	table	table	NOUN
ejpam-4020	205	4	2	2	NUM
ejpam-4020	205	5	lists	list	VERB
ejpam-4020	205	6	the	the	DET
ejpam-4020	205	7	errors	error	NOUN
ejpam-4020	205	8	of	of	ADP
ejpam-4020	205	9	the	the	DET
ejpam-4020	205	10	results	result	NOUN
ejpam-4020	205	11	obtained	obtain	VERB
ejpam-4020	205	12	by	by	ADP
ejpam-4020	205	13	pgem	pgem	PROPN
ejpam-4020	205	14	,	,	PUNCT
ejpam-4020	205	15	mgem	mgem	PROPN
ejpam-4020	205	16	,	,	PUNCT
ejpam-4020	205	17	and	and	CCONJ
ejpam-4020	205	18	contraction	contraction	NOUN
ejpam-4020	205	19	mapping	mapping	NOUN
ejpam-4020	205	20	for	for	ADP
ejpam-4020	205	21	comparison	comparison	NOUN
ejpam-4020	205	22	.	.	PUNCT
ejpam-4020	206	1	here	here	ADV
ejpam-4020	206	2	,	,	PUNCT
ejpam-4020	206	3	it	it	PRON
ejpam-4020	206	4	is	be	AUX
ejpam-4020	206	5	assumed	assume	VERB
ejpam-4020	206	6	that	that	SCONJ
ejpam-4020	206	7	α	α	NOUN
ejpam-4020	206	8	=	=	NOUN
ejpam-4020	206	9	0.99	0.99	NUM
ejpam-4020	206	10	.	.	PUNCT
ejpam-4020	207	1	from	from	ADP
ejpam-4020	207	2	table	table	NOUN
ejpam-4020	207	3	2	2	NUM
ejpam-4020	207	4	it	it	PRON
ejpam-4020	207	5	is	be	AUX
ejpam-4020	207	6	clear	clear	ADJ
ejpam-4020	207	7	that	that	SCONJ
ejpam-4020	207	8	pgem	pgem	PROPN
ejpam-4020	207	9	has	have	VERB
ejpam-4020	207	10	a	a	DET
ejpam-4020	207	11	better	well	ADJ
ejpam-4020	207	12	rate	rate	NOUN
ejpam-4020	207	13	of	of	ADP
ejpam-4020	207	14	convergence	convergence	NOUN
ejpam-4020	207	15	than	than	ADP
ejpam-4020	207	16	other	other	ADJ
ejpam-4020	207	17	methods	method	NOUN
ejpam-4020	207	18	.	.	PUNCT
ejpam-4020	208	1	table	table	NOUN
ejpam-4020	208	2	1	1	NUM
ejpam-4020	208	3	:	:	PUNCT
ejpam-4020	208	4	maximum	maximum	ADJ
ejpam-4020	208	5	errors	error	NOUN
ejpam-4020	208	6	of	of	ADP
ejpam-4020	208	7	exercise	exercise	NOUN
ejpam-4020	208	8	4.1	4.1	NUM
ejpam-4020	208	9	.	.	PUNCT
ejpam-4020	209	1	number	number	NOUN
ejpam-4020	209	2	of	of	ADP
ejpam-4020	209	3	iterations	iteration	NOUN
ejpam-4020	209	4	maximum	maximum	ADJ
ejpam-4020	209	5	error	error	NOUN
ejpam-4020	209	6	3	3	NUM
ejpam-4020	209	7	1.75e	1.75e	NUM
ejpam-4020	209	8	−	−	NOUN
ejpam-4020	209	9	07	07	NUM
ejpam-4020	209	10	5	5	NUM
ejpam-4020	209	11	3.42e	3.42e	NUM
ejpam-4020	209	12	−	−	NOUN
ejpam-4020	209	13	12	12	NUM
ejpam-4020	209	14	7	7	NUM
ejpam-4020	209	15	6.68e	6.68e	NUM
ejpam-4020	209	16	−	−	NUM
ejpam-4020	209	17	17	17	NUM
ejpam-4020	209	18	f.a.akgun	f.a.akgun	NOUN
ejpam-4020	209	19	,	,	PUNCT
ejpam-4020	209	20	z.	z.	PROPN
ejpam-4020	209	21	rasulov	rasulov	PROPN
ejpam-4020	209	22	/	/	SYM
ejpam-4020	209	23	eur	eur	PROPN
ejpam-4020	209	24	.	.	PUNCT
ejpam-4020	210	1	j.	j.	PROPN
ejpam-4020	210	2	pure	pure	PROPN
ejpam-4020	210	3	appl	appl	PROPN
ejpam-4020	210	4	.	.	PROPN
ejpam-4020	210	5	math	math	PROPN
ejpam-4020	210	6	,	,	PUNCT
ejpam-4020	210	7	14	14	NUM
ejpam-4020	210	8	(	(	PUNCT
ejpam-4020	210	9	3	3	NUM
ejpam-4020	210	10	)	)	PUNCT
ejpam-4020	210	11	(	(	PUNCT
ejpam-4020	210	12	2021	2021	NUM
ejpam-4020	210	13	)	)	PUNCT
ejpam-4020	210	14	,	,	PUNCT
ejpam-4020	210	15	969	969	NUM
ejpam-4020	210	16	-	-	SYM
ejpam-4020	210	17	979	979	NUM
ejpam-4020	210	18	976	976	NUM
ejpam-4020	210	19	table	table	NOUN
ejpam-4020	210	20	2	2	NUM
ejpam-4020	210	21	:	:	PUNCT
ejpam-4020	210	22	error	error	NOUN
ejpam-4020	210	23	comparisons	comparison	NOUN
ejpam-4020	210	24	of	of	ADP
ejpam-4020	210	25	exercise	exercise	NOUN
ejpam-4020	210	26	4.1	4.1	NUM
ejpam-4020	210	27	.	.	PUNCT
ejpam-4020	211	1	picard	picard	NOUN
ejpam-4020	211	2	contraction	contraction	PROPN
ejpam-4020	211	3	mapping	map	VERB
ejpam-4020	211	4	mann	mann	PROPN
ejpam-4020	211	5	t	t	PROPN
ejpam-4020	211	6	error	error	NOUN
ejpam-4020	211	7	(	(	PUNCT
ejpam-4020	211	8	7	7	NUM
ejpam-4020	211	9	)	)	PUNCT
ejpam-4020	211	10	error	error	NOUN
ejpam-4020	211	11	(	(	PUNCT
ejpam-4020	211	12	7	7	NUM
ejpam-4020	211	13	)	)	PUNCT
ejpam-4020	211	14	error(7	error(7	NOUN
ejpam-4020	211	15	)	)	PUNCT
ejpam-4020	212	1	0.1	0.1	NUM
ejpam-4020	212	2	1.64e	1.64e	NUM
ejpam-4020	212	3	−	−	PROPN
ejpam-4020	212	4	18	18	NUM
ejpam-4020	212	5	4.44e	4.44e	NUM
ejpam-4020	212	6	−	−	NUM
ejpam-4020	212	7	16	16	NUM
ejpam-4020	213	1	9.76e	9.76e	NUM
ejpam-4020	213	2	−	−	NOUN
ejpam-4020	213	3	15	15	NUM
ejpam-4020	213	4	0.2	0.2	NUM
ejpam-4020	213	5	5.85e	5.85e	NUM
ejpam-4020	213	6	−	−	PROPN
ejpam-4020	213	7	18	18	NUM
ejpam-4020	213	8	1.33e	1.33e	NUM
ejpam-4020	213	9	−	−	PROPN
ejpam-4020	213	10	15	15	NUM
ejpam-4020	213	11	3.51e	3.51e	NUM
ejpam-4020	213	12	−	−	PROPN
ejpam-4020	213	13	14	14	NUM
ejpam-4020	213	14	0.3	0.3	NUM
ejpam-4020	213	15	1.17e	1.17e	NUM
ejpam-4020	213	16	−	−	PROPN
ejpam-4020	213	17	17	17	NUM
ejpam-4020	213	18	1.89e	1.89e	NUM
ejpam-4020	213	19	−	−	PROPN
ejpam-4020	213	20	15	15	NUM
ejpam-4020	213	21	7.10e	7.10e	NUM
ejpam-4020	213	22	−	−	NUM
ejpam-4020	213	23	14	14	NUM
ejpam-4020	213	24	0.4	0.4	NUM
ejpam-4020	213	25	1.87e	1.87e	NUM
ejpam-4020	213	26	−	−	PROPN
ejpam-4020	213	27	17	17	NUM
ejpam-4020	213	28	3.55e	3.55e	NUM
ejpam-4020	213	29	−	−	NUM
ejpam-4020	213	30	15	15	NUM
ejpam-4020	213	31	1.14e	1.14e	NUM
ejpam-4020	213	32	−	−	NUM
ejpam-4020	213	33	13	13	NUM
ejpam-4020	213	34	example	example	NOUN
ejpam-4020	213	35	2	2	NUM
ejpam-4020	213	36	.	.	X
ejpam-4020	213	37	consider	consider	VERB
ejpam-4020	213	38	the	the	DET
ejpam-4020	213	39	following	follow	VERB
ejpam-4020	213	40	fourth	fourth	ADJ
ejpam-4020	213	41	-	-	PUNCT
ejpam-4020	213	42	order	order	NOUN
ejpam-4020	213	43	bvp	bvp	NOUN
ejpam-4020	213	44	u	u	PROPN
ejpam-4020	213	45	′′′′	′′′′	PROPN
ejpam-4020	213	46	(	(	PUNCT
ejpam-4020	213	47	t	t	PROPN
ejpam-4020	213	48	)	)	PUNCT
ejpam-4020	213	49	=	=	SYM
ejpam-4020	213	50	u(t	u(t	NOUN
ejpam-4020	213	51	)	)	PUNCT
ejpam-4020	213	52	6	6	NUM
ejpam-4020	213	53	(	(	PUNCT
ejpam-4020	213	54	u(t	u(t	NOUN
ejpam-4020	213	55	)	)	PUNCT
ejpam-4020	214	1	+	+	NUM
ejpam-4020	214	2	u	u	NOUN
ejpam-4020	214	3	′	′	NUM
ejpam-4020	214	4	(	(	PUNCT
ejpam-4020	214	5	t	t	PROPN
ejpam-4020	214	6	)	)	PUNCT
ejpam-4020	214	7	+	+	NUM
ejpam-4020	214	8	u	u	X
ejpam-4020	214	9	′′	′′	PROPN
ejpam-4020	214	10	(	(	PUNCT
ejpam-4020	214	11	t)−	t)−	PROPN
ejpam-4020	214	12	u′′′(t	u′′′(t	PROPN
ejpam-4020	214	13	)	)	PUNCT
ejpam-4020	214	14	)	)	PUNCT
ejpam-4020	215	1	+	+	CCONJ
ejpam-4020	215	2	1	1	NUM
ejpam-4020	215	3	,	,	PUNCT
ejpam-4020	215	4	(	(	PUNCT
ejpam-4020	215	5	43	43	NUM
ejpam-4020	215	6	)	)	PUNCT
ejpam-4020	215	7	with	with	ADP
ejpam-4020	215	8	the	the	DET
ejpam-4020	215	9	boundary	boundary	ADJ
ejpam-4020	215	10	conditions	condition	NOUN
ejpam-4020	215	11	u(0	u(0	NOUN
ejpam-4020	215	12	)	)	PUNCT
ejpam-4020	215	13	=	=	SYM
ejpam-4020	215	14	u	u	NOUN
ejpam-4020	215	15	′	′	NUM
ejpam-4020	215	16	(	(	PUNCT
ejpam-4020	215	17	0	0	NUM
ejpam-4020	215	18	)	)	PUNCT
ejpam-4020	215	19	=	=	SYM
ejpam-4020	215	20	u	u	PROPN
ejpam-4020	215	21	′′	′′	PROPN
ejpam-4020	215	22	(	(	PUNCT
ejpam-4020	215	23	1	1	NUM
ejpam-4020	215	24	)	)	PUNCT
ejpam-4020	215	25	=	=	SYM
ejpam-4020	216	1	u	u	SYM
ejpam-4020	216	2	′′′	′′′	PROPN
ejpam-4020	216	3	(	(	PUNCT
ejpam-4020	216	4	1	1	X
ejpam-4020	216	5	)	)	PUNCT
ejpam-4020	216	6	=	=	SYM
ejpam-4020	216	7	0	0	X
ejpam-4020	216	8	.	.	PUNCT
ejpam-4020	217	1	(	(	PUNCT
ejpam-4020	217	2	44	44	NUM
ejpam-4020	217	3	)	)	PUNCT
ejpam-4020	217	4	note	note	NOUN
ejpam-4020	217	5	that	that	DET
ejpam-4020	217	6	problem	problem	NOUN
ejpam-4020	217	7	eq	eq	ADJ
ejpam-4020	217	8	.	.	PUNCT
ejpam-4020	218	1	(	(	PUNCT
ejpam-4020	218	2	43	43	NUM
ejpam-4020	218	3	)	)	PUNCT
ejpam-4020	218	4	−	−	PROPN
ejpam-4020	218	5	(	(	PUNCT
ejpam-4020	218	6	44	44	NUM
ejpam-4020	218	7	)	)	PUNCT
ejpam-4020	218	8	does	do	AUX
ejpam-4020	218	9	not	not	PART
ejpam-4020	218	10	have	have	VERB
ejpam-4020	218	11	an	an	DET
ejpam-4020	218	12	exact	exact	ADJ
ejpam-4020	218	13	solution	solution	NOUN
ejpam-4020	218	14	.	.	PUNCT
ejpam-4020	219	1	on	on	ADP
ejpam-4020	219	2	the	the	DET
ejpam-4020	219	3	other	other	ADJ
ejpam-4020	219	4	hand	hand	NOUN
ejpam-4020	219	5	,	,	PUNCT
ejpam-4020	219	6	the	the	DET
ejpam-4020	219	7	green	green	NOUN
ejpam-4020	219	8	’s	’s	PART
ejpam-4020	219	9	function	function	NOUN
ejpam-4020	219	10	of	of	ADP
ejpam-4020	219	11	the	the	DET
ejpam-4020	219	12	problem	problem	NOUN
ejpam-4020	219	13	is	be	AUX
ejpam-4020	219	14	g(t	g(t	PROPN
ejpam-4020	219	15	,	,	PUNCT
ejpam-4020	219	16	s	s	PART
ejpam-4020	219	17	)	)	PUNCT
ejpam-4020	219	18	=	=	PRON
ejpam-4020	219	19	{	{	PUNCT
ejpam-4020	219	20	−t3	−t3	NOUN
ejpam-4020	219	21	6	6	NUM
ejpam-4020	220	1	+	+	CCONJ
ejpam-4020	220	2	st2	st2	NOUN
ejpam-4020	220	3	2	2	NUM
ejpam-4020	220	4	,	,	PUNCT
ejpam-4020	220	5	0	0	NUM
ejpam-4020	220	6	<	<	X
ejpam-4020	220	7	t	t	X
ejpam-4020	220	8	<	<	X
ejpam-4020	220	9	s	s	X
ejpam-4020	220	10	−s3	−s3	ADJ
ejpam-4020	220	11	6	6	NUM
ejpam-4020	220	12	+	+	CCONJ
ejpam-4020	220	13	ts2	ts2	ADJ
ejpam-4020	220	14	2	2	NUM
ejpam-4020	220	15	,	,	PUNCT
ejpam-4020	220	16	s	s	VERB
ejpam-4020	220	17	<	<	X
ejpam-4020	220	18	t	t	X
ejpam-4020	220	19	<	<	X
ejpam-4020	220	20	1	1	NUM
ejpam-4020	220	21	.	.	PUNCT
ejpam-4020	221	1	(	(	PUNCT
ejpam-4020	221	2	45	45	NUM
ejpam-4020	221	3	)	)	PUNCT
ejpam-4020	221	4	using	use	VERB
ejpam-4020	221	5	eq	eq	NOUN
ejpam-4020	221	6	.	.	PUNCT
ejpam-4020	222	1	(	(	PUNCT
ejpam-4020	222	2	45)and	45)and	NUM
ejpam-4020	222	3	pgem	pgem	NOUN
ejpam-4020	222	4	,	,	PUNCT
ejpam-4020	222	5	un+1	un+1	PROPN
ejpam-4020	222	6	=	=	SYM
ejpam-4020	222	7	un	un	PROPN
ejpam-4020	223	1	−	−	PROPN
ejpam-4020	223	2	∫	∫	PROPN
ejpam-4020	223	3	t	t	PROPN
ejpam-4020	223	4	0	0	NUM
ejpam-4020	224	1	(	(	PUNCT
ejpam-4020	224	2	−s3	−s3	PROPN
ejpam-4020	224	3	6	6	NUM
ejpam-4020	224	4	+	+	CCONJ
ejpam-4020	224	5	ts2	ts2	ADJ
ejpam-4020	224	6	2	2	NUM
ejpam-4020	224	7	)	)	PUNCT
ejpam-4020	224	8	(	(	PUNCT
ejpam-4020	224	9	u	u	NOUN
ejpam-4020	224	10	′′′′	′′′′	PROPN
ejpam-4020	224	11	n	n	CCONJ
ejpam-4020	224	12	(	(	PUNCT
ejpam-4020	224	13	s)−	s)−	PROPN
ejpam-4020	224	14	un(s	un(s	NUM
ejpam-4020	224	15	)	)	PUNCT
ejpam-4020	224	16	6	6	NUM
ejpam-4020	224	17	(	(	PUNCT
ejpam-4020	224	18	un(s	un(s	NUM
ejpam-4020	224	19	)	)	PUNCT
ejpam-4020	225	1	+	+	NUM
ejpam-4020	225	2	u	u	NOUN
ejpam-4020	225	3	′	′	NUM
ejpam-4020	225	4	n(s	n(s	PROPN
ejpam-4020	225	5	)	)	PUNCT
ejpam-4020	226	1	+	+	NUM
ejpam-4020	226	2	u	u	NOUN
ejpam-4020	226	3	′′	′′	PROPN
ejpam-4020	226	4	n(s)−	n(s)−	VERB
ejpam-4020	226	5	u′′′n	u′′′n	X
ejpam-4020	226	6	(	(	PUNCT
ejpam-4020	226	7	s))−	s))−	NOUN
ejpam-4020	226	8	1)ds	1)ds	NUM
ejpam-4020	226	9	−	−	NOUN
ejpam-4020	226	10	∫	∫	PROPN
ejpam-4020	226	11	1	1	NUM
ejpam-4020	226	12	t	t	PROPN
ejpam-4020	226	13	(	(	PUNCT
ejpam-4020	226	14	−t3	−t3	PROPN
ejpam-4020	226	15	6	6	NUM
ejpam-4020	226	16	+	+	CCONJ
ejpam-4020	226	17	st2	st2	NOUN
ejpam-4020	226	18	2	2	NUM
ejpam-4020	226	19	)	)	PUNCT
ejpam-4020	226	20	(	(	PUNCT
ejpam-4020	226	21	u	u	NOUN
ejpam-4020	226	22	′′′′	′′′′	PROPN
ejpam-4020	226	23	n	n	CCONJ
ejpam-4020	226	24	(	(	PUNCT
ejpam-4020	226	25	s)−	s)−	PROPN
ejpam-4020	226	26	un(s	un(s	NUM
ejpam-4020	226	27	)	)	PUNCT
ejpam-4020	226	28	6	6	NUM
ejpam-4020	226	29	(	(	PUNCT
ejpam-4020	226	30	un(s	un(s	NUM
ejpam-4020	226	31	)	)	PUNCT
ejpam-4020	227	1	+	+	NUM
ejpam-4020	227	2	u	u	NOUN
ejpam-4020	227	3	′	′	NUM
ejpam-4020	227	4	n(s	n(s	PROPN
ejpam-4020	227	5	)	)	PUNCT
ejpam-4020	228	1	+	+	NUM
ejpam-4020	228	2	u	u	NOUN
ejpam-4020	228	3	′′	′′	PROPN
ejpam-4020	228	4	n(s)−	n(s)−	VERB
ejpam-4020	228	5	u′′′n	u′′′n	X
ejpam-4020	228	6	(	(	PUNCT
ejpam-4020	228	7	s))−	s))−	NOUN
ejpam-4020	228	8	1)ds	1)ds	PROPN
ejpam-4020	228	9	(	(	PUNCT
ejpam-4020	228	10	46	46	NUM
ejpam-4020	228	11	)	)	PUNCT
ejpam-4020	228	12	is	be	AUX
ejpam-4020	228	13	obtained	obtain	VERB
ejpam-4020	228	14	.	.	PUNCT
ejpam-4020	229	1	here	here	ADV
ejpam-4020	229	2	,	,	PUNCT
ejpam-4020	229	3	the	the	DET
ejpam-4020	229	4	starting	starting	NOUN
ejpam-4020	229	5	function	function	NOUN
ejpam-4020	229	6	is	be	AUX
ejpam-4020	229	7	u0	u0	ADJ
ejpam-4020	229	8	=	=	ADJ
ejpam-4020	229	9	0	0	NUM
ejpam-4020	229	10	.	.	PUNCT
ejpam-4020	230	1	in	in	ADP
ejpam-4020	230	2	table	table	NOUN
ejpam-4020	230	3	3	3	NUM
ejpam-4020	230	4	,	,	PUNCT
ejpam-4020	230	5	the	the	DET
ejpam-4020	230	6	errors	error	NOUN
ejpam-4020	230	7	obtained	obtain	VERB
ejpam-4020	230	8	by	by	ADP
ejpam-4020	230	9	pgem	pgem	NOUN
ejpam-4020	230	10	and	and	CCONJ
ejpam-4020	230	11	mgem	mgem	PROPN
ejpam-4020	230	12	are	be	AUX
ejpam-4020	230	13	illustrated	illustrate	VERB
ejpam-4020	230	14	.	.	PUNCT
ejpam-4020	231	1	for	for	ADP
ejpam-4020	231	2	mgem	mgem	PROPN
ejpam-4020	231	3	,	,	PUNCT
ejpam-4020	231	4	α	α	NOUN
ejpam-4020	231	5	=	=	SYM
ejpam-4020	231	6	0.99	0.99	NUM
ejpam-4020	231	7	and	and	CCONJ
ejpam-4020	231	8	α	α	NOUN
ejpam-4020	231	9	=	=	NOUN
ejpam-4020	231	10	0.80	0.80	NUM
ejpam-4020	231	11	are	be	AUX
ejpam-4020	231	12	chosen	choose	VERB
ejpam-4020	231	13	,	,	PUNCT
ejpam-4020	231	14	respectively.from	respectively.from	ADP
ejpam-4020	231	15	table	table	NOUN
ejpam-4020	231	16	3	3	NUM
ejpam-4020	231	17	,	,	PUNCT
ejpam-4020	231	18	it	it	PRON
ejpam-4020	231	19	is	be	AUX
ejpam-4020	231	20	clear	clear	ADJ
ejpam-4020	231	21	that	that	SCONJ
ejpam-4020	231	22	the	the	DET
ejpam-4020	231	23	closer	close	ADJ
ejpam-4020	231	24	α	α	NOUN
ejpam-4020	231	25	to	to	ADP
ejpam-4020	231	26	1	1	NUM
ejpam-4020	231	27	,	,	PUNCT
ejpam-4020	231	28	the	the	DET
ejpam-4020	231	29	higher	high	ADJ
ejpam-4020	231	30	accuracy	accuracy	NOUN
ejpam-4020	231	31	for	for	ADP
ejpam-4020	231	32	mgem	mgem	NOUN
ejpam-4020	231	33	is	be	AUX
ejpam-4020	231	34	obtained	obtain	VERB
ejpam-4020	231	35	.	.	PUNCT
ejpam-4020	232	1	moreover	moreover	ADV
ejpam-4020	232	2	,	,	PUNCT
ejpam-4020	232	3	picard	picard	NOUN
ejpam-4020	232	4	-	-	PUNCT
ejpam-4020	232	5	green	green	PROPN
ejpam-4020	232	6	’s	’s	PART
ejpam-4020	232	7	method	method	NOUN
ejpam-4020	232	8	is	be	AUX
ejpam-4020	232	9	the	the	DET
ejpam-4020	232	10	special	special	ADJ
ejpam-4020	232	11	case	case	NOUN
ejpam-4020	232	12	of	of	ADP
ejpam-4020	232	13	mann	mann	PROPN
ejpam-4020	232	14	-	-	PUNCT
ejpam-4020	232	15	green	green	PROPN
ejpam-4020	232	16	’s	’s	PART
ejpam-4020	232	17	method	method	NOUN
ejpam-4020	232	18	,	,	PUNCT
ejpam-4020	232	19	when	when	SCONJ
ejpam-4020	232	20	α	α	PROPN
ejpam-4020	232	21	=	=	SYM
ejpam-4020	232	22	1	1	NUM
ejpam-4020	232	23	.	.	NOUN
ejpam-4020	232	24	example	example	NOUN
ejpam-4020	232	25	3	3	X
ejpam-4020	232	26	.	.	X
ejpam-4020	233	1	consider	consider	VERB
ejpam-4020	233	2	the	the	DET
ejpam-4020	233	3	fourth	fourth	ADJ
ejpam-4020	233	4	-	-	PUNCT
ejpam-4020	233	5	order	order	NOUN
ejpam-4020	233	6	bvp	bvp	NOUN
ejpam-4020	233	7	u	u	PROPN
ejpam-4020	233	8	′′′′	′′′′	PROPN
ejpam-4020	233	9	(	(	PUNCT
ejpam-4020	233	10	t	t	PROPN
ejpam-4020	233	11	)	)	PUNCT
ejpam-4020	233	12	+	+	SYM
ejpam-4020	233	13	4u(t	4u(t	NUM
ejpam-4020	233	14	)	)	PUNCT
ejpam-4020	234	1	=	=	SYM
ejpam-4020	234	2	1	1	NUM
ejpam-4020	234	3	,	,	PUNCT
ejpam-4020	234	4	(	(	PUNCT
ejpam-4020	234	5	47	47	NUM
ejpam-4020	234	6	)	)	PUNCT
ejpam-4020	234	7	with	with	ADP
ejpam-4020	234	8	the	the	DET
ejpam-4020	234	9	boundary	boundary	ADJ
ejpam-4020	234	10	conditions	condition	NOUN
ejpam-4020	234	11	u(−1	u(−1	PRON
ejpam-4020	234	12	)	)	PUNCT
ejpam-4020	235	1	=	=	SYM
ejpam-4020	235	2	u(1	u(1	PROPN
ejpam-4020	235	3	)	)	PUNCT
ejpam-4020	235	4	=	=	SYM
ejpam-4020	236	1	u	u	NOUN
ejpam-4020	236	2	′	′	NUM
ejpam-4020	236	3	(	(	PUNCT
ejpam-4020	236	4	−1	−1	NOUN
ejpam-4020	236	5	)	)	PUNCT
ejpam-4020	236	6	=	=	SYM
ejpam-4020	236	7	u	u	NOUN
ejpam-4020	236	8	′	′	NUM
ejpam-4020	236	9	(	(	PUNCT
ejpam-4020	236	10	1	1	NUM
ejpam-4020	236	11	)	)	PUNCT
ejpam-4020	236	12	=	=	SYM
ejpam-4020	236	13	0	0	X
ejpam-4020	236	14	.	.	PUNCT
ejpam-4020	237	1	(	(	PUNCT
ejpam-4020	237	2	48	48	NUM
ejpam-4020	237	3	)	)	PUNCT
ejpam-4020	237	4	the	the	DET
ejpam-4020	237	5	green	green	PROPN
ejpam-4020	237	6	’s	’s	PART
ejpam-4020	237	7	function	function	NOUN
ejpam-4020	237	8	of	of	ADP
ejpam-4020	237	9	the	the	DET
ejpam-4020	237	10	problem	problem	NOUN
ejpam-4020	237	11	eq.(47	eq.(47	NOUN
ejpam-4020	237	12	)	)	PUNCT
ejpam-4020	238	1	−	−	PROPN
ejpam-4020	238	2	(	(	PUNCT
ejpam-4020	238	3	48)is	48)is	X
ejpam-4020	238	4	g(t	g(t	PROPN
ejpam-4020	238	5	,	,	PUNCT
ejpam-4020	238	6	s	s	PART
ejpam-4020	238	7	)	)	PUNCT
ejpam-4020	238	8	=	=	SYM
ejpam-4020	238	9	{	{	PUNCT
ejpam-4020	238	10	s3−3s+2	s3−3s+2	NUM
ejpam-4020	238	11	24	24	NUM
ejpam-4020	238	12	(	(	PUNCT
ejpam-4020	238	13	−1−	−1−	NOUN
ejpam-4020	238	14	t)3	t)3	NOUN
ejpam-4020	238	15	+	+	CCONJ
ejpam-4020	238	16	s3−s2−s+1	s3−s2−s+1	ADJ
ejpam-4020	238	17	8	8	NUM
ejpam-4020	238	18	(	(	PUNCT
ejpam-4020	238	19	−1−	−1−	PROPN
ejpam-4020	238	20	t)2	t)2	PROPN
ejpam-4020	238	21	,	,	PUNCT
ejpam-4020	238	22	−1	−1	VERB
ejpam-4020	238	23	<	<	X
ejpam-4020	238	24	s	s	X
ejpam-4020	238	25	<	<	X
ejpam-4020	238	26	t	t	NOUN
ejpam-4020	238	27	s3−3s−2	s3−3s−2	VERB
ejpam-4020	238	28	24	24	NUM
ejpam-4020	238	29	(	(	PUNCT
ejpam-4020	238	30	1−	1−	NUM
ejpam-4020	238	31	t)3	t)3	NOUN
ejpam-4020	238	32	+	+	CCONJ
ejpam-4020	238	33	−s3−s2+s+1	−s3−s2+s+1	NUM
ejpam-4020	238	34	8	8	NUM
ejpam-4020	238	35	(	(	PUNCT
ejpam-4020	238	36	1−	1−	NUM
ejpam-4020	238	37	t)2	t)2	PROPN
ejpam-4020	238	38	,	,	PUNCT
ejpam-4020	238	39	t	t	X
ejpam-4020	238	40	<	<	X
ejpam-4020	238	41	s	s	X
ejpam-4020	238	42	<	<	X
ejpam-4020	238	43	1	1	NUM
ejpam-4020	238	44	.	.	PUNCT
ejpam-4020	238	45	(	(	PUNCT
ejpam-4020	238	46	49	49	NUM
ejpam-4020	238	47	)	)	PUNCT
ejpam-4020	238	48	f.a.akgun	f.a.akgun	NOUN
ejpam-4020	238	49	,	,	PUNCT
ejpam-4020	238	50	z.	z.	PROPN
ejpam-4020	238	51	rasulov	rasulov	PROPN
ejpam-4020	238	52	/	/	SYM
ejpam-4020	238	53	eur	eur	PROPN
ejpam-4020	238	54	.	.	PUNCT
ejpam-4020	239	1	j.	j.	PROPN
ejpam-4020	239	2	pure	pure	PROPN
ejpam-4020	239	3	appl	appl	PROPN
ejpam-4020	239	4	.	.	PROPN
ejpam-4020	239	5	math	math	PROPN
ejpam-4020	239	6	,	,	PUNCT
ejpam-4020	239	7	14	14	NUM
ejpam-4020	239	8	(	(	PUNCT
ejpam-4020	239	9	3	3	NUM
ejpam-4020	239	10	)	)	PUNCT
ejpam-4020	239	11	(	(	PUNCT
ejpam-4020	239	12	2021	2021	NUM
ejpam-4020	239	13	)	)	PUNCT
ejpam-4020	239	14	,	,	PUNCT
ejpam-4020	239	15	969	969	NUM
ejpam-4020	239	16	-	-	SYM
ejpam-4020	239	17	979	979	NUM
ejpam-4020	239	18	977	977	NUM
ejpam-4020	239	19	table	table	NOUN
ejpam-4020	239	20	3	3	NUM
ejpam-4020	239	21	:	:	PUNCT
ejpam-4020	239	22	error	error	NOUN
ejpam-4020	239	23	comparisons	comparison	NOUN
ejpam-4020	239	24	of	of	ADP
ejpam-4020	239	25	exercise	exercise	NOUN
ejpam-4020	239	26	4.2	4.2	NUM
ejpam-4020	239	27	.	.	PUNCT
ejpam-4020	240	1	picard	picard	PROPN
ejpam-4020	240	2	mann	mann	PROPN
ejpam-4020	240	3	t	t	PROPN
ejpam-4020	240	4	error	error	NOUN
ejpam-4020	240	5	(	(	PUNCT
ejpam-4020	240	6	7	7	NUM
ejpam-4020	240	7	)	)	PUNCT
ejpam-4020	240	8	error	error	NOUN
ejpam-4020	240	9	(	(	PUNCT
ejpam-4020	240	10	7	7	NUM
ejpam-4020	240	11	)	)	PUNCT
ejpam-4020	240	12	error	error	NOUN
ejpam-4020	240	13	(	(	PUNCT
ejpam-4020	240	14	7	7	NUM
ejpam-4020	240	15	)	)	PUNCT
ejpam-4020	240	16	0.1	0.1	NUM
ejpam-4020	241	1	5.89e	5.89e	NUM
ejpam-4020	241	2	−	−	NUM
ejpam-4020	241	3	15	15	NUM
ejpam-4020	241	4	2.63e	2.63e	NUM
ejpam-4020	241	5	−	−	NUM
ejpam-4020	241	6	13	13	NUM
ejpam-4020	242	1	1.55e	1.55e	NUM
ejpam-4020	242	2	−	−	NOUN
ejpam-4020	242	3	07	07	NUM
ejpam-4020	242	4	0.3	0.3	NUM
ejpam-4020	242	5	4.72e	4.72e	NUM
ejpam-4020	242	6	−	−	NUM
ejpam-4020	242	7	14	14	NUM
ejpam-4020	242	8	1.89e	1.89e	NUM
ejpam-4020	242	9	−	−	PROPN
ejpam-4020	242	10	12	12	NUM
ejpam-4020	242	11	1.22e	1.22e	NUM
ejpam-4020	242	12	−	−	PROPN
ejpam-4020	242	13	06	06	NUM
ejpam-4020	242	14	0.5	0.5	NUM
ejpam-4020	242	15	1.16e	1.16e	NUM
ejpam-4020	242	16	−	−	PROPN
ejpam-4020	242	17	13	13	NUM
ejpam-4020	242	18	4.63e	4.63e	NUM
ejpam-4020	242	19	−	−	PROPN
ejpam-4020	242	20	12	12	NUM
ejpam-4020	242	21	2.96e	2.96e	NUM
ejpam-4020	242	22	−	−	NOUN
ejpam-4020	242	23	06	06	NUM
ejpam-4020	242	24	0.7	0.7	NUM
ejpam-4020	242	25	1.98e	1.98e	NUM
ejpam-4020	242	26	−	−	NUM
ejpam-4020	242	27	13	13	NUM
ejpam-4020	242	28	7.94e	7.94e	NUM
ejpam-4020	242	29	−	−	NUM
ejpam-4020	242	30	12	12	NUM
ejpam-4020	242	31	5.04e	5.04e	NUM
ejpam-4020	242	32	−	−	NOUN
ejpam-4020	242	33	06	06	NUM
ejpam-4020	242	34	0.9	0.9	NUM
ejpam-4020	242	35	2.86e	2.86e	NUM
ejpam-4020	242	36	−	−	PROPN
ejpam-4020	242	37	13	13	NUM
ejpam-4020	243	1	1.15e	1.15e	NUM
ejpam-4020	243	2	−	−	NUM
ejpam-4020	243	3	11	11	NUM
ejpam-4020	243	4	7.26e	7.26e	NUM
ejpam-4020	243	5	−	−	PROPN
ejpam-4020	243	6	06	06	NUM
ejpam-4020	243	7	when	when	SCONJ
ejpam-4020	243	8	eq.(49	eq.(49	PROPN
ejpam-4020	243	9	)	)	PUNCT
ejpam-4020	243	10	is	be	AUX
ejpam-4020	243	11	embedded	embed	VERB
ejpam-4020	243	12	into	into	ADP
ejpam-4020	243	13	pgem	pgem	NOUN
ejpam-4020	243	14	,	,	PUNCT
ejpam-4020	243	15	the	the	DET
ejpam-4020	243	16	iterative	iterative	NOUN
ejpam-4020	243	17	method	method	NOUN
ejpam-4020	243	18	is	be	AUX
ejpam-4020	243	19	obtained	obtain	VERB
ejpam-4020	243	20	as	as	ADP
ejpam-4020	243	21	un+1	un+1	NOUN
ejpam-4020	243	22	=	=	SYM
ejpam-4020	243	23	un	un	PROPN
ejpam-4020	243	24	−	−	PROPN
ejpam-4020	243	25	∫	∫	PROPN
ejpam-4020	243	26	t	t	PROPN
ejpam-4020	243	27	−1	−1	NOUN
ejpam-4020	244	1	(	(	PUNCT
ejpam-4020	244	2	s3	s3	PROPN
ejpam-4020	244	3	−	−	PROPN
ejpam-4020	244	4	3s−	3s−	NUM
ejpam-4020	244	5	2	2	NUM
ejpam-4020	244	6	24	24	NUM
ejpam-4020	244	7	(	(	PUNCT
ejpam-4020	244	8	1−	1−	NUM
ejpam-4020	244	9	t)3	t)3	NOUN
ejpam-4020	244	10	+	+	CCONJ
ejpam-4020	244	11	−s3	−s3	PROPN
ejpam-4020	244	12	−	−	PROPN
ejpam-4020	244	13	s2	s2	NOUN
ejpam-4020	244	14	+	+	CCONJ
ejpam-4020	244	15	s+	s+	NUM
ejpam-4020	244	16	1	1	NUM
ejpam-4020	244	17	8	8	NUM
ejpam-4020	244	18	(	(	PUNCT
ejpam-4020	244	19	1−	1−	NUM
ejpam-4020	244	20	t)2)(u4n(s	t)2)(u4n(s	NUM
ejpam-4020	244	21	)	)	PUNCT
ejpam-4020	244	22	+	+	NUM
ejpam-4020	245	1	4un(s)−	4un(s)−	NUM
ejpam-4020	245	2	1)ds	1)ds	NUM
ejpam-4020	246	1	−	−	NOUN
ejpam-4020	246	2	∫	∫	PROPN
ejpam-4020	246	3	1	1	NUM
ejpam-4020	246	4	t	t	PROPN
ejpam-4020	246	5	(	(	PUNCT
ejpam-4020	246	6	s3	s3	PROPN
ejpam-4020	246	7	−	−	PROPN
ejpam-4020	246	8	3s+	3s+	NUM
ejpam-4020	246	9	2	2	NUM
ejpam-4020	246	10	24	24	NUM
ejpam-4020	246	11	(	(	PUNCT
ejpam-4020	246	12	−1−	−1−	NOUN
ejpam-4020	246	13	t)3	t)3	NOUN
ejpam-4020	246	14	+	+	CCONJ
ejpam-4020	246	15	s3	s3	PROPN
ejpam-4020	246	16	−	−	PROPN
ejpam-4020	246	17	s2	s2	NOUN
ejpam-4020	246	18	−	−	PROPN
ejpam-4020	246	19	s+	s+	PUNCT
ejpam-4020	246	20	1	1	NUM
ejpam-4020	246	21	8	8	NUM
ejpam-4020	246	22	(	(	PUNCT
ejpam-4020	246	23	−1−	−1−	NOUN
ejpam-4020	246	24	t)2)(u4n(s	t)2)(u4n(s	NUM
ejpam-4020	246	25	)	)	PUNCT
ejpam-4020	246	26	+	+	CCONJ
ejpam-4020	247	1	4un(s)−	4un(s)−	NUM
ejpam-4020	247	2	1)ds.(50	1)ds.(50	NUM
ejpam-4020	247	3	)	)	PUNCT
ejpam-4020	247	4	in	in	ADP
ejpam-4020	247	5	eq.(50	eq.(50	NOUN
ejpam-4020	247	6	)	)	PUNCT
ejpam-4020	247	7	the	the	DET
ejpam-4020	247	8	starting	start	VERB
ejpam-4020	247	9	function	function	NOUN
ejpam-4020	247	10	u0	u0	NOUN
ejpam-4020	247	11	=	=	NOUN
ejpam-4020	247	12	0	0	PROPN
ejpam-4020	247	13	.	.	PUNCT
ejpam-4020	248	1	the	the	DET
ejpam-4020	248	2	numerical	numerical	ADJ
ejpam-4020	248	3	results	result	NOUN
ejpam-4020	248	4	obtained	obtain	VERB
ejpam-4020	248	5	by	by	ADP
ejpam-4020	248	6	pgem	pgem	NOUN
ejpam-4020	248	7	at	at	ADP
ejpam-4020	248	8	20th	20th	ADJ
ejpam-4020	248	9	iteration	iteration	NOUN
ejpam-4020	248	10	are	be	AUX
ejpam-4020	248	11	presented	present	VERB
ejpam-4020	248	12	with	with	ADP
ejpam-4020	248	13	the	the	DET
ejpam-4020	248	14	errors	error	NOUN
ejpam-4020	248	15	in	in	ADP
ejpam-4020	248	16	table	table	NOUN
ejpam-4020	248	17	4	4	NUM
ejpam-4020	248	18	.	.	PUNCT
ejpam-4020	249	1	in	in	ADP
ejpam-4020	249	2	this	this	DET
ejpam-4020	249	3	case	case	NOUN
ejpam-4020	249	4	,	,	PUNCT
ejpam-4020	249	5	to	to	PART
ejpam-4020	249	6	apply	apply	VERB
ejpam-4020	249	7	mgem	mgem	NOUN
ejpam-4020	249	8	,	,	PUNCT
ejpam-4020	249	9	α	α	NOUN
ejpam-4020	249	10	=	=	NOUN
ejpam-4020	249	11	0.95	0.95	NUM
ejpam-4020	249	12	and	and	CCONJ
ejpam-4020	249	13	α	α	NOUN
ejpam-4020	249	14	=	=	NOUN
ejpam-4020	249	15	0.70	0.70	NUM
ejpam-4020	249	16	were	be	AUX
ejpam-4020	249	17	chosen	choose	VERB
ejpam-4020	249	18	.	.	PUNCT
ejpam-4020	250	1	the	the	DET
ejpam-4020	250	2	figure	figure	NOUN
ejpam-4020	250	3	1	1	NUM
ejpam-4020	250	4	below	below	ADV
ejpam-4020	250	5	represents	represent	VERB
ejpam-4020	250	6	the	the	DET
ejpam-4020	250	7	20th	20th	ADJ
ejpam-4020	250	8	iteration	iteration	NOUN
ejpam-4020	250	9	by	by	ADP
ejpam-4020	250	10	pgem	pgem	NOUN
ejpam-4020	250	11	which	which	PRON
ejpam-4020	250	12	is	be	AUX
ejpam-4020	250	13	very	very	ADV
ejpam-4020	250	14	close	close	ADJ
ejpam-4020	250	15	to	to	ADP
ejpam-4020	250	16	the	the	DET
ejpam-4020	250	17	exact	exact	ADJ
ejpam-4020	250	18	solution	solution	NOUN
ejpam-4020	250	19	of	of	ADP
ejpam-4020	250	20	the	the	DET
ejpam-4020	250	21	problem	problem	NOUN
ejpam-4020	250	22	eq	eq	ADJ
ejpam-4020	250	23	.	.	PUNCT
ejpam-4020	251	1	(	(	PUNCT
ejpam-4020	251	2	47	47	NUM
ejpam-4020	251	3	)	)	PUNCT
ejpam-4020	251	4	−	−	PROPN
ejpam-4020	252	1	(	(	PUNCT
ejpam-4020	252	2	48	48	NUM
ejpam-4020	252	3	)	)	PUNCT
ejpam-4020	252	4	.	.	PUNCT
ejpam-4020	253	1	table	table	NOUN
ejpam-4020	253	2	4	4	NUM
ejpam-4020	253	3	:	:	PUNCT
ejpam-4020	253	4	error	error	NOUN
ejpam-4020	253	5	comparisons	comparison	NOUN
ejpam-4020	253	6	of	of	ADP
ejpam-4020	253	7	exercise	exercise	NOUN
ejpam-4020	253	8	4.3	4.3	NUM
ejpam-4020	253	9	.	.	PUNCT
ejpam-4020	254	1	picard	picard	PROPN
ejpam-4020	254	2	mann	mann	PROPN
ejpam-4020	254	3	t	t	PROPN
ejpam-4020	254	4	numerical	numerical	PROPN
ejpam-4020	254	5	value	value	NOUN
ejpam-4020	254	6	error	error	NOUN
ejpam-4020	254	7	(	(	PUNCT
ejpam-4020	254	8	20	20	NUM
ejpam-4020	254	9	)	)	PUNCT
ejpam-4020	254	10	error(20	error(20	NOUN
ejpam-4020	254	11	)	)	PUNCT
ejpam-4020	254	12	error	error	NOUN
ejpam-4020	254	13	(	(	PUNCT
ejpam-4020	254	14	20	20	NUM
ejpam-4020	254	15	)	)	PUNCT
ejpam-4020	254	16	−1.0	−1.0	PROPN
ejpam-4020	254	17	0.0	0.0	NUM
ejpam-4020	254	18	3.49e	3.49e	NUM
ejpam-4020	254	19	−	−	NUM
ejpam-4020	254	20	18	18	NUM
ejpam-4020	254	21	3.49e	3.49e	NUM
ejpam-4020	254	22	−	−	NUM
ejpam-4020	254	23	18	18	NUM
ejpam-4020	254	24	3.49e	3.49e	NUM
ejpam-4020	254	25	−	−	PROPN
ejpam-4020	254	26	18	18	NUM
ejpam-4020	254	27	−0.8	−0.8	NOUN
ejpam-4020	254	28	0.004829301786589	0.004829301786589	NUM
ejpam-4020	255	1	9.19e	9.19e	NUM
ejpam-4020	255	2	−	−	NUM
ejpam-4020	255	3	19	19	NUM
ejpam-4020	255	4	9.13e	9.13e	NUM
ejpam-4020	255	5	−	−	NUM
ejpam-4020	255	6	19	19	NUM
ejpam-4020	255	7	1.12e	1.12e	NUM
ejpam-4020	255	8	−	−	NUM
ejpam-4020	255	9	14	14	NUM
ejpam-4020	255	10	−0.6	−0.6	PROPN
ejpam-4020	255	11	0.015199277038320	0.015199277038320	NUM
ejpam-4020	255	12	5.81e	5.81e	NUM
ejpam-4020	255	13	−	−	NOUN
ejpam-4020	255	14	19	19	NUM
ejpam-4020	255	15	6.01e	6.01e	NUM
ejpam-4020	255	16	−	−	NUM
ejpam-4020	255	17	19	19	NUM
ejpam-4020	255	18	1.80e	1.80e	NUM
ejpam-4020	255	19	−	−	PROPN
ejpam-4020	255	20	14	14	NUM
ejpam-4020	255	21	−0.4	−0.4	NUM
ejpam-4020	255	22	0.026098892616535	0.026098892616535	NUM
ejpam-4020	255	23	1.14e	1.14e	NUM
ejpam-4020	255	24	−	−	NUM
ejpam-4020	255	25	18	18	NUM
ejpam-4020	255	26	1.17e	1.17e	NUM
ejpam-4020	255	27	−	−	PROPN
ejpam-4020	255	28	18	18	NUM
ejpam-4020	255	29	8.75e	8.75e	NUM
ejpam-4020	255	30	−	−	PROPN
ejpam-4020	255	31	15	15	NUM
ejpam-4020	255	32	−0.2	−0.2	PROPN
ejpam-4020	255	33	0.034019288419593	0.034019288419593	NUM
ejpam-4020	255	34	8.72e	8.72e	PROPN
ejpam-4020	255	35	−	−	NUM
ejpam-4020	255	36	19	19	NUM
ejpam-4020	255	37	9.19e	9.19e	NUM
ejpam-4020	255	38	−	−	NUM
ejpam-4020	255	39	19	19	NUM
ejpam-4020	255	40	6.17e	6.17e	NUM
ejpam-4020	255	41	−	−	PROPN
ejpam-4020	255	42	15	15	NUM
ejpam-4020	255	43	0.0	0.0	NUM
ejpam-4020	255	44	0.036887761992940	0.036887761992940	NUM
ejpam-4020	255	45	1.01e	1.01e	NUM
ejpam-4020	255	46	−	−	NUM
ejpam-4020	255	47	19	19	NUM
ejpam-4020	255	48	5.05e	5.05e	NUM
ejpam-4020	255	49	−	−	NUM
ejpam-4020	255	50	20	20	NUM
ejpam-4020	255	51	1.31e	1.31e	NUM
ejpam-4020	255	52	−	−	NOUN
ejpam-4020	255	53	14	14	NUM
ejpam-4020	255	54	7	7	NUM
ejpam-4020	255	55	.	.	PUNCT
ejpam-4020	255	56	conclusion	conclusion	NOUN
ejpam-4020	255	57	in	in	ADP
ejpam-4020	255	58	this	this	DET
ejpam-4020	255	59	paper	paper	NOUN
ejpam-4020	256	1	,	,	PUNCT
ejpam-4020	256	2	we	we	PRON
ejpam-4020	256	3	present	present	VERB
ejpam-4020	256	4	the	the	DET
ejpam-4020	256	5	picard	picard	NOUN
ejpam-4020	256	6	-	-	PUNCT
ejpam-4020	256	7	green	green	PROPN
ejpam-4020	256	8	’s	’s	PART
ejpam-4020	256	9	method	method	NOUN
ejpam-4020	256	10	,	,	PUNCT
ejpam-4020	256	11	one	one	NUM
ejpam-4020	256	12	of	of	ADP
ejpam-4020	256	13	the	the	DET
ejpam-4020	256	14	most	most	ADV
ejpam-4020	256	15	popular	popular	ADJ
ejpam-4020	256	16	methods	method	NOUN
ejpam-4020	256	17	,	,	PUNCT
ejpam-4020	256	18	generalized	generalize	VERB
ejpam-4020	256	19	and	and	CCONJ
ejpam-4020	256	20	extended	extend	VERB
ejpam-4020	256	21	for	for	ADP
ejpam-4020	256	22	the	the	DET
ejpam-4020	256	23	fourth	fourth	ADJ
ejpam-4020	256	24	-	-	PUNCT
ejpam-4020	256	25	order	order	NOUN
ejpam-4020	256	26	nonlinear	nonlinear	ADJ
ejpam-4020	256	27	and	and	CCONJ
ejpam-4020	256	28	linear	linear	ADJ
ejpam-4020	256	29	bvp	bvp	NOUN
ejpam-4020	256	30	by	by	ADP
ejpam-4020	256	31	embedding	embed	VERB
ejpam-4020	256	32	green	green	PROPN
ejpam-4020	256	33	’s	’s	PART
ejpam-4020	256	34	function	function	NOUN
ejpam-4020	256	35	into	into	ADP
ejpam-4020	256	36	the	the	DET
ejpam-4020	256	37	picard	picard	NOUN
ejpam-4020	256	38	-	-	PUNCT
ejpam-4020	256	39	green	green	PROPN
ejpam-4020	256	40	’s	’s	PART
ejpam-4020	256	41	mann	mann	PROPN
ejpam-4020	256	42	-	-	PUNCT
ejpam-4020	256	43	green	green	PROPN
ejpam-4020	256	44	’s	’s	PART
ejpam-4020	256	45	fixed	fix	VERB
ejpam-4020	256	46	point	point	NOUN
ejpam-4020	256	47	iteration	iteration	NOUN
ejpam-4020	256	48	methods	method	NOUN
ejpam-4020	256	49	.	.	PUNCT
ejpam-4020	257	1	different	different	ADJ
ejpam-4020	257	2	examples	example	NOUN
ejpam-4020	257	3	were	be	AUX
ejpam-4020	257	4	solved	solve	VERB
ejpam-4020	257	5	to	to	PART
ejpam-4020	257	6	demonstrate	demonstrate	VERB
ejpam-4020	257	7	its	its	PRON
ejpam-4020	257	8	accuracy	accuracy	NOUN
ejpam-4020	257	9	.	.	PUNCT
ejpam-4020	258	1	the	the	DET
ejpam-4020	258	2	obtained	obtain	VERB
ejpam-4020	258	3	results	result	NOUN
ejpam-4020	258	4	were	be	AUX
ejpam-4020	258	5	compared	compare	VERB
ejpam-4020	258	6	to	to	ADP
ejpam-4020	258	7	other	other	ADJ
ejpam-4020	258	8	numerical	numerical	ADJ
ejpam-4020	258	9	and	and	CCONJ
ejpam-4020	258	10	analytical	analytical	ADJ
ejpam-4020	258	11	solutions	solution	NOUN
ejpam-4020	258	12	earlier	early	ADV
ejpam-4020	258	13	found	find	VERB
ejpam-4020	258	14	in	in	ADP
ejpam-4020	258	15	the	the	DET
ejpam-4020	258	16	literature	literature	NOUN
ejpam-4020	258	17	during	during	ADP
ejpam-4020	258	18	the	the	DET
ejpam-4020	258	19	solution	solution	NOUN
ejpam-4020	258	20	.	.	PUNCT
ejpam-4020	259	1	moreover	moreover	ADV
ejpam-4020	259	2	,	,	PUNCT
ejpam-4020	259	3	we	we	PRON
ejpam-4020	259	4	proved	prove	VERB
ejpam-4020	259	5	the	the	DET
ejpam-4020	259	6	convergence	convergence	NOUN
ejpam-4020	259	7	and	and	CCONJ
ejpam-4020	259	8	found	find	VERB
ejpam-4020	259	9	the	the	DET
ejpam-4020	259	10	rate	rate	NOUN
ejpam-4020	259	11	of	of	ADP
ejpam-4020	259	12	convergence	convergence	NOUN
ejpam-4020	259	13	.	.	PUNCT
ejpam-4020	260	1	references	reference	NOUN
ejpam-4020	260	2	978	978	NUM
ejpam-4020	260	3	figure	figure	NOUN
ejpam-4020	260	4	1	1	NUM
ejpam-4020	260	5	:	:	PUNCT
ejpam-4020	260	6	20th	20th	ADJ
ejpam-4020	260	7	iteration	iteration	NOUN
ejpam-4020	260	8	of	of	ADP
ejpam-4020	260	9	example	example	NOUN
ejpam-4020	260	10	3	3	NUM
ejpam-4020	260	11	acknowledgements	acknowledgement	NOUN
ejpam-4020	260	12	the	the	DET
ejpam-4020	260	13	authors	author	NOUN
ejpam-4020	260	14	thank	thank	VERB
ejpam-4020	260	15	the	the	DET
ejpam-4020	260	16	referees	referee	NOUN
ejpam-4020	260	17	for	for	ADP
ejpam-4020	260	18	their	their	PRON
ejpam-4020	260	19	positive	positive	ADJ
ejpam-4020	260	20	recommendations	recommendation	NOUN
ejpam-4020	260	21	.	.	PUNCT
ejpam-4020	261	1	references	reference	NOUN
ejpam-4020	261	2	[	[	X
ejpam-4020	261	3	1	1	NUM
ejpam-4020	261	4	]	]	X
ejpam-4020	261	5	waleed	waleed	PROPN
ejpam-4020	261	6	al	al	PROPN
ejpam-4020	261	7	-	-	PUNCT
ejpam-4020	261	8	hayani	hayani	PROPN
ejpam-4020	261	9	and	and	CCONJ
ejpam-4020	261	10	luis	luis	PROPN
ejpam-4020	261	11	casasus	casasus	PROPN
ejpam-4020	261	12	.	.	PUNCT
ejpam-4020	262	1	approximate	approximate	ADJ
ejpam-4020	262	2	analytical	analytical	ADJ
ejpam-4020	262	3	solution	solution	NOUN
ejpam-4020	262	4	of	of	ADP
ejpam-4020	262	5	fourth	fourth	ADJ
ejpam-4020	262	6	order	order	NOUN
ejpam-4020	262	7	boundary	boundary	ADJ
ejpam-4020	262	8	value	value	NOUN
ejpam-4020	262	9	problems	problem	NOUN
ejpam-4020	262	10	.	.	PUNCT
ejpam-4020	263	1	numerical	numerical	ADJ
ejpam-4020	263	2	algorithms	algorithms	PROPN
ejpam-4020	263	3	,	,	PUNCT
ejpam-4020	263	4	40(1):67–78	40(1):67–78	NUM
ejpam-4020	263	5	,	,	PUNCT
ejpam-4020	263	6	2005	2005	NUM
ejpam-4020	263	7	.	.	PUNCT
ejpam-4020	264	1	[	[	X
ejpam-4020	264	2	2	2	NUM
ejpam-4020	264	3	]	]	PUNCT
ejpam-4020	264	4	arshed	arshe	VERB
ejpam-4020	264	5	ali	ali	PROPN
ejpam-4020	264	6	.	.	PROPN
ejpam-4020	264	7	numerical	numerical	PROPN
ejpam-4020	264	8	solution	solution	NOUN
ejpam-4020	264	9	of	of	ADP
ejpam-4020	264	10	fourth	fourth	ADJ
ejpam-4020	264	11	order	order	NOUN
ejpam-4020	264	12	boundary	boundary	ADJ
ejpam-4020	264	13	-	-	PUNCT
ejpam-4020	264	14	value	value	NOUN
ejpam-4020	264	15	problems	problem	NOUN
ejpam-4020	264	16	using	use	VERB
ejpam-4020	264	17	haar	haar	PROPN
ejpam-4020	264	18	wavelets	wavelet	NOUN
ejpam-4020	264	19	.	.	PUNCT
ejpam-4020	265	1	applied	apply	VERB
ejpam-4020	265	2	mathematical	mathematical	ADJ
ejpam-4020	265	3	sciences	science	NOUN
ejpam-4020	265	4	,	,	PUNCT
ejpam-4020	265	5	5(63):3131–3146	5(63):3131–3146	NUM
ejpam-4020	265	6	,	,	PUNCT
ejpam-4020	265	7	2011	2011	NUM
ejpam-4020	265	8	.	.	PUNCT
ejpam-4020	266	1	[	[	X
ejpam-4020	266	2	3	3	NUM
ejpam-4020	266	3	]	]	X
ejpam-4020	266	4	shih	shih	PROPN
ejpam-4020	266	5	-	-	PUNCT
ejpam-4020	266	6	hsiang	hsiang	PROPN
ejpam-4020	266	7	chang	chang	PROPN
ejpam-4020	266	8	.	.	PUNCT
ejpam-4020	267	1	existence	existence	NOUN
ejpam-4020	267	2	-	-	PUNCT
ejpam-4020	267	3	uniqueness	uniqueness	NOUN
ejpam-4020	267	4	and	and	CCONJ
ejpam-4020	267	5	fixed	fix	VERB
ejpam-4020	267	6	-	-	PUNCT
ejpam-4020	267	7	point	point	NOUN
ejpam-4020	267	8	iterative	iterative	NOUN
ejpam-4020	267	9	method	method	NOUN
ejpam-4020	267	10	for	for	ADP
ejpam-4020	267	11	general	general	ADJ
ejpam-4020	267	12	nonlinear	nonlinear	ADJ
ejpam-4020	267	13	fourth	fourth	ADJ
ejpam-4020	267	14	-	-	PUNCT
ejpam-4020	267	15	order	order	NOUN
ejpam-4020	267	16	boundary	boundary	ADJ
ejpam-4020	267	17	value	value	NOUN
ejpam-4020	267	18	problems	problem	NOUN
ejpam-4020	267	19	.	.	PUNCT
ejpam-4020	268	1	journal	journal	NOUN
ejpam-4020	268	2	of	of	ADP
ejpam-4020	268	3	applied	apply	VERB
ejpam-4020	268	4	mathematics	mathematic	NOUN
ejpam-4020	268	5	and	and	CCONJ
ejpam-4020	268	6	computing	computing	NOUN
ejpam-4020	268	7	,	,	PUNCT
ejpam-4020	268	8	pages	page	NOUN
ejpam-4020	268	9	1–11	1–11	PROPN
ejpam-4020	268	10	,	,	PUNCT
ejpam-4020	268	11	2021	2021	NUM
ejpam-4020	268	12	.	.	PUNCT
ejpam-4020	269	1	[	[	X
ejpam-4020	269	2	4	4	NUM
ejpam-4020	269	3	]	]	X
ejpam-4020	269	4	gilbert	gilbert	PROPN
ejpam-4020	269	5	choudury	choudury	PROPN
ejpam-4020	269	6	and	and	CCONJ
ejpam-4020	269	7	philip	philip	PROPN
ejpam-4020	269	8	korman	korman	PROPN
ejpam-4020	269	9	.	.	PUNCT
ejpam-4020	270	1	computation	computation	NOUN
ejpam-4020	270	2	of	of	ADP
ejpam-4020	270	3	solutions	solution	NOUN
ejpam-4020	270	4	of	of	ADP
ejpam-4020	270	5	nonlinear	nonlinear	ADJ
ejpam-4020	270	6	boundary	boundary	ADJ
ejpam-4020	270	7	value	value	NOUN
ejpam-4020	270	8	problems	problem	NOUN
ejpam-4020	270	9	.	.	PUNCT
ejpam-4020	271	1	computers	computer	NOUN
ejpam-4020	271	2	&	&	CCONJ
ejpam-4020	271	3	mathematics	mathematics	PROPN
ejpam-4020	271	4	with	with	ADP
ejpam-4020	271	5	applications	application	NOUN
ejpam-4020	271	6	,	,	PUNCT
ejpam-4020	271	7	22(8):49–55	22(8):49–55	NUM
ejpam-4020	271	8	,	,	PUNCT
ejpam-4020	271	9	1991	1991	NUM
ejpam-4020	271	10	.	.	PUNCT
ejpam-4020	272	1	[	[	X
ejpam-4020	272	2	5	5	NUM
ejpam-4020	272	3	]	]	PUNCT
ejpam-4020	272	4	alicia	alicia	PROPN
ejpam-4020	272	5	cordero	cordero	PROPN
ejpam-4020	272	6	,	,	PUNCT
ejpam-4020	272	7	eva	eva	PROPN
ejpam-4020	272	8	g	g	PROPN
ejpam-4020	272	9	villalba	villalba	PROPN
ejpam-4020	272	10	,	,	PUNCT
ejpam-4020	272	11	juan	juan	PROPN
ejpam-4020	272	12	r	r	PROPN
ejpam-4020	272	13	torregrosa	torregrosa	PROPN
ejpam-4020	272	14	,	,	PUNCT
ejpam-4020	272	15	and	and	CCONJ
ejpam-4020	272	16	paula	paula	PROPN
ejpam-4020	272	17	triguero	triguero	PROPN
ejpam-4020	272	18	-	-	PUNCT
ejpam-4020	272	19	navarro	navarro	PROPN
ejpam-4020	272	20	.	.	PUNCT
ejpam-4020	273	1	convergence	convergence	NOUN
ejpam-4020	273	2	and	and	CCONJ
ejpam-4020	273	3	stability	stability	NOUN
ejpam-4020	273	4	of	of	ADP
ejpam-4020	273	5	a	a	DET
ejpam-4020	273	6	parametric	parametric	ADJ
ejpam-4020	273	7	class	class	NOUN
ejpam-4020	273	8	of	of	ADP
ejpam-4020	273	9	iterative	iterative	NOUN
ejpam-4020	273	10	schemes	scheme	NOUN
ejpam-4020	273	11	for	for	ADP
ejpam-4020	273	12	solving	solve	VERB
ejpam-4020	273	13	nonlinear	nonlinear	ADJ
ejpam-4020	273	14	systems	system	NOUN
ejpam-4020	273	15	.	.	PUNCT
ejpam-4020	274	1	mathematics	mathematic	NOUN
ejpam-4020	274	2	,	,	PUNCT
ejpam-4020	274	3	9(1):86	9(1):86	NOUN
ejpam-4020	274	4	,	,	PUNCT
ejpam-4020	274	5	2021	2021	NUM
ejpam-4020	274	6	.	.	PUNCT
ejpam-4020	275	1	[	[	X
ejpam-4020	275	2	6	6	NUM
ejpam-4020	275	3	]	]	X
ejpam-4020	275	4	quang	quang	VERB
ejpam-4020	275	5	a	a	DET
ejpam-4020	275	6	dang	dang	NOUN
ejpam-4020	275	7	and	and	CCONJ
ejpam-4020	275	8	thi	thi	VERB
ejpam-4020	275	9	kim	kim	PROPN
ejpam-4020	275	10	quy	quy	PROPN
ejpam-4020	275	11	ngo	ngo	PROPN
ejpam-4020	275	12	.	.	PUNCT
ejpam-4020	276	1	existence	existence	NOUN
ejpam-4020	276	2	results	result	NOUN
ejpam-4020	276	3	and	and	CCONJ
ejpam-4020	276	4	iterative	iterative	NOUN
ejpam-4020	276	5	method	method	NOUN
ejpam-4020	276	6	for	for	ADP
ejpam-4020	276	7	solving	solve	VERB
ejpam-4020	276	8	the	the	DET
ejpam-4020	276	9	cantilever	cantilever	NOUN
ejpam-4020	276	10	beam	beam	NOUN
ejpam-4020	276	11	equation	equation	NOUN
ejpam-4020	276	12	with	with	ADP
ejpam-4020	276	13	fully	fully	ADV
ejpam-4020	276	14	nonlinear	nonlinear	ADJ
ejpam-4020	276	15	term	term	NOUN
ejpam-4020	276	16	.	.	PUNCT
ejpam-4020	277	1	nonlinear	nonlinear	ADJ
ejpam-4020	277	2	analysis	analysis	NOUN
ejpam-4020	277	3	:	:	PUNCT
ejpam-4020	277	4	real	real	ADJ
ejpam-4020	277	5	world	world	NOUN
ejpam-4020	277	6	applications	application	NOUN
ejpam-4020	277	7	,	,	PUNCT
ejpam-4020	277	8	36:56–68	36:56–68	NUM
ejpam-4020	277	9	,	,	PUNCT
ejpam-4020	277	10	2017	2017	NUM
ejpam-4020	277	11	.	.	PUNCT
ejpam-4020	278	1	references	reference	NOUN
ejpam-4020	278	2	979	979	NUM
ejpam-4020	279	1	[	[	X
ejpam-4020	279	2	7	7	NUM
ejpam-4020	279	3	]	]	X
ejpam-4020	279	4	a	a	DET
ejpam-4020	279	5	golbabai	golbabai	NOUN
ejpam-4020	279	6	and	and	CCONJ
ejpam-4020	279	7	m	m	PROPN
ejpam-4020	279	8	javidi	javidi	PROPN
ejpam-4020	279	9	.	.	PUNCT
ejpam-4020	280	1	application	application	NOUN
ejpam-4020	280	2	of	of	ADP
ejpam-4020	280	3	homotopy	homotopy	NOUN
ejpam-4020	280	4	perturbation	perturbation	NOUN
ejpam-4020	280	5	method	method	NOUN
ejpam-4020	280	6	for	for	ADP
ejpam-4020	280	7	solving	solve	VERB
ejpam-4020	280	8	eighth	eighth	ADJ
ejpam-4020	280	9	-	-	PUNCT
ejpam-4020	280	10	order	order	NOUN
ejpam-4020	280	11	boundary	boundary	ADJ
ejpam-4020	280	12	value	value	NOUN
ejpam-4020	280	13	problems	problem	NOUN
ejpam-4020	280	14	.	.	PUNCT
ejpam-4020	281	1	applied	apply	VERB
ejpam-4020	281	2	mathematics	mathematic	NOUN
ejpam-4020	281	3	and	and	CCONJ
ejpam-4020	281	4	computation	computation	NOUN
ejpam-4020	281	5	,	,	PUNCT
ejpam-4020	281	6	191(2):334–346	191(2):334–346	NUM
ejpam-4020	281	7	,	,	PUNCT
ejpam-4020	281	8	2007	2007	NUM
ejpam-4020	281	9	.	.	PUNCT
ejpam-4020	282	1	[	[	X
ejpam-4020	282	2	8	8	X
ejpam-4020	282	3	]	]	X
ejpam-4020	282	4	sana	sana	PROPN
ejpam-4020	282	5	keita	keita	PROPN
ejpam-4020	282	6	,	,	PUNCT
ejpam-4020	282	7	abdelaziz	abdelaziz	PROPN
ejpam-4020	282	8	beljadid	beljadid	VERB
ejpam-4020	282	9	,	,	PUNCT
ejpam-4020	282	10	and	and	CCONJ
ejpam-4020	282	11	yves	yve	NOUN
ejpam-4020	282	12	bourgault	bourgault	NOUN
ejpam-4020	282	13	.	.	PUNCT
ejpam-4020	283	1	efficient	efficient	ADJ
ejpam-4020	283	2	second	second	ADJ
ejpam-4020	283	3	-	-	PUNCT
ejpam-4020	283	4	order	order	NOUN
ejpam-4020	283	5	semiimplicit	semiimplicit	NOUN
ejpam-4020	283	6	finite	finite	PROPN
ejpam-4020	283	7	element	element	NOUN
ejpam-4020	283	8	method	method	NOUN
ejpam-4020	283	9	for	for	ADP
ejpam-4020	283	10	fourth	fourth	ADJ
ejpam-4020	283	11	-	-	PUNCT
ejpam-4020	283	12	order	order	NOUN
ejpam-4020	283	13	nonlinear	nonlinear	ADJ
ejpam-4020	283	14	diffusion	diffusion	NOUN
ejpam-4020	283	15	equations	equation	NOUN
ejpam-4020	283	16	.	.	PUNCT
ejpam-4020	284	1	computer	computer	NOUN
ejpam-4020	284	2	physics	physics	NOUN
ejpam-4020	284	3	communications	communication	NOUN
ejpam-4020	284	4	,	,	PUNCT
ejpam-4020	284	5	258:107588	258:107588	NUM
ejpam-4020	284	6	,	,	PUNCT
ejpam-4020	284	7	2021	2021	NUM
ejpam-4020	284	8	.	.	PUNCT
ejpam-4020	285	1	[	[	X
ejpam-4020	285	2	9	9	NUM
ejpam-4020	285	3	]	]	X
ejpam-4020	285	4	yongxiang	yongxiang	PROPN
ejpam-4020	285	5	li	li	PROPN
ejpam-4020	285	6	.	.	PROPN
ejpam-4020	285	7	existence	existence	NOUN
ejpam-4020	285	8	of	of	ADP
ejpam-4020	285	9	positive	positive	ADJ
ejpam-4020	285	10	solutions	solution	NOUN
ejpam-4020	285	11	for	for	ADP
ejpam-4020	285	12	the	the	DET
ejpam-4020	285	13	cantilever	cantilever	NOUN
ejpam-4020	285	14	beam	beam	NOUN
ejpam-4020	285	15	equations	equation	NOUN
ejpam-4020	285	16	with	with	ADP
ejpam-4020	285	17	fully	fully	ADV
ejpam-4020	285	18	nonlinear	nonlinear	ADJ
ejpam-4020	285	19	terms	term	NOUN
ejpam-4020	285	20	.	.	PUNCT
ejpam-4020	286	1	nonlinear	nonlinear	ADJ
ejpam-4020	286	2	analysis	analysis	NOUN
ejpam-4020	286	3	:	:	PUNCT
ejpam-4020	286	4	real	real	ADJ
ejpam-4020	286	5	world	world	NOUN
ejpam-4020	286	6	applications	application	NOUN
ejpam-4020	286	7	,	,	PUNCT
ejpam-4020	286	8	27:221–237	27:221–237	NUM
ejpam-4020	286	9	,	,	PUNCT
ejpam-4020	286	10	2016	2016	NUM
ejpam-4020	286	11	.	.	PUNCT
ejpam-4020	287	1	[	[	X
ejpam-4020	287	2	10	10	NUM
ejpam-4020	287	3	]	]	X
ejpam-4020	287	4	w	w	PROPN
ejpam-4020	287	5	robert	robert	PROPN
ejpam-4020	287	6	mann	mann	PROPN
ejpam-4020	287	7	.	.	PUNCT
ejpam-4020	288	1	mean	mean	VERB
ejpam-4020	288	2	value	value	NOUN
ejpam-4020	288	3	methods	method	NOUN
ejpam-4020	288	4	in	in	ADP
ejpam-4020	288	5	iteration	iteration	NOUN
ejpam-4020	288	6	.	.	PUNCT
ejpam-4020	289	1	proceedings	proceeding	NOUN
ejpam-4020	289	2	of	of	ADP
ejpam-4020	289	3	the	the	DET
ejpam-4020	289	4	american	american	PROPN
ejpam-4020	289	5	mathematical	mathematical	PROPN
ejpam-4020	289	6	society	society	NOUN
ejpam-4020	289	7	,	,	PUNCT
ejpam-4020	289	8	4(3):506–510	4(3):506–510	NUM
ejpam-4020	289	9	,	,	PUNCT
ejpam-4020	289	10	1953	1953	NUM
ejpam-4020	289	11	.	.	PUNCT
ejpam-4020	290	1	[	[	X
ejpam-4020	290	2	11	11	NUM
ejpam-4020	290	3	]	]	X
ejpam-4020	290	4	tsung	tsung	NOUN
ejpam-4020	290	5	yen	yen	PROPN
ejpam-4020	290	6	na	na	PROPN
ejpam-4020	290	7	.	.	PUNCT
ejpam-4020	290	8	computational	computational	ADJ
ejpam-4020	290	9	methods	method	NOUN
ejpam-4020	290	10	in	in	ADP
ejpam-4020	290	11	engineering	engineering	NOUN
ejpam-4020	290	12	boundary	boundary	ADJ
ejpam-4020	290	13	value	value	NOUN
ejpam-4020	290	14	problems	problem	NOUN
ejpam-4020	290	15	.	.	PUNCT
ejpam-4020	291	1	academic	academic	ADJ
ejpam-4020	291	2	press	press	NOUN
ejpam-4020	291	3	,	,	PUNCT
ejpam-4020	291	4	1980	1980	NUM
ejpam-4020	291	5	.	.	PUNCT
ejpam-4020	292	1	[	[	X
ejpam-4020	292	2	12	12	NUM
ejpam-4020	292	3	]	]	X
ejpam-4020	292	4	emile	emile	PROPN
ejpam-4020	292	5	picard	picard	PROPN
ejpam-4020	292	6	.	.	PUNCT
ejpam-4020	293	1	memoir	memoir	PROPN
ejpam-4020	293	2	on	on	ADP
ejpam-4020	293	3	the	the	DET
ejpam-4020	293	4	theory	theory	NOUN
ejpam-4020	293	5	of	of	ADP
ejpam-4020	293	6	partial	partial	ADJ
ejpam-4020	293	7	derivative	derivative	ADJ
ejpam-4020	293	8	equations	equation	NOUN
ejpam-4020	293	9	and	and	CCONJ
ejpam-4020	293	10	the	the	DET
ejpam-4020	293	11	method	method	NOUN
ejpam-4020	293	12	of	of	ADP
ejpam-4020	293	13	successive	successive	ADJ
ejpam-4020	293	14	approximations	approximation	NOUN
ejpam-4020	293	15	.	.	PUNCT
ejpam-4020	294	1	journal	journal	NOUN
ejpam-4020	294	2	of	of	ADP
ejpam-4020	294	3	pure	pure	ADJ
ejpam-4020	294	4	and	and	CCONJ
ejpam-4020	294	5	applied	applied	ADJ
ejpam-4020	294	6	maths	math	NOUN
ejpam-4020	294	7	,	,	PUNCT
ejpam-4020	294	8	6:145–210	6:145–210	PROPN
ejpam-4020	294	9	,	,	PUNCT
ejpam-4020	294	10	1890	1890	NUM
ejpam-4020	294	11	.	.	PUNCT
ejpam-4020	295	1	[	[	X
ejpam-4020	295	2	13	13	NUM
ejpam-4020	295	3	]	]	X
ejpam-4020	295	4	yongfang	yongfang	PROPN
ejpam-4020	295	5	wei	wei	PROPN
ejpam-4020	295	6	,	,	PUNCT
ejpam-4020	295	7	qilin	qilin	PROPN
ejpam-4020	295	8	song	song	NOUN
ejpam-4020	295	9	,	,	PUNCT
ejpam-4020	295	10	and	and	CCONJ
ejpam-4020	295	11	zhanbing	zhanbe	VERB
ejpam-4020	295	12	bai	bai	PROPN
ejpam-4020	295	13	.	.	PUNCT
ejpam-4020	296	1	existence	existence	NOUN
ejpam-4020	296	2	and	and	CCONJ
ejpam-4020	296	3	iterative	iterative	NOUN
ejpam-4020	296	4	method	method	NOUN
ejpam-4020	296	5	for	for	ADP
ejpam-4020	296	6	some	some	DET
ejpam-4020	296	7	fourth	fourth	ADJ
ejpam-4020	296	8	order	order	NOUN
ejpam-4020	296	9	nonlinear	nonlinear	ADJ
ejpam-4020	296	10	boundary	boundary	ADJ
ejpam-4020	296	11	value	value	NOUN
ejpam-4020	296	12	problems	problem	NOUN
ejpam-4020	296	13	.	.	PUNCT
ejpam-4020	297	1	applied	apply	VERB
ejpam-4020	297	2	mathematical	mathematical	ADJ
ejpam-4020	297	3	letters	letter	NOUN
ejpam-4020	297	4	,	,	PUNCT
ejpam-4020	297	5	87:101–107	87:101–107	PROPN
ejpam-4020	297	6	,	,	PUNCT
ejpam-4020	297	7	2019	2019	NUM
ejpam-4020	297	8	.	.	PUNCT
ejpam-4020	298	1	[	[	X
ejpam-4020	298	2	14	14	NUM
ejpam-4020	298	3	]	]	X
ejpam-4020	298	4	ting	ting	PROPN
ejpam-4020	298	5	-	-	PUNCT
ejpam-4020	298	6	ting	ting	PROPN
ejpam-4020	298	7	wu	wu	PROPN
ejpam-4020	298	8	,	,	PUNCT
ejpam-4020	298	9	yu	yu	PROPN
ejpam-4020	298	10	-	-	PROPN
ejpam-4020	298	11	fei	fei	PROPN
ejpam-4020	298	12	yang	yang	PROPN
ejpam-4020	298	13	,	,	PUNCT
ejpam-4020	298	14	and	and	CCONJ
ejpam-4020	298	15	zhi	zhi	PROPN
ejpam-4020	298	16	-	-	PUNCT
ejpam-4020	298	17	feng	feng	PROPN
ejpam-4020	298	18	pang	pang	NOUN
ejpam-4020	298	19	.	.	PUNCT
ejpam-4020	299	1	a	a	DET
ejpam-4020	299	2	modified	modify	VERB
ejpam-4020	299	3	fixed	fix	VERB
ejpam-4020	299	4	-	-	PUNCT
ejpam-4020	299	5	point	point	NOUN
ejpam-4020	299	6	iterative	iterative	NOUN
ejpam-4020	299	7	algorithm	algorithm	NOUN
ejpam-4020	299	8	for	for	ADP
ejpam-4020	299	9	image	image	NOUN
ejpam-4020	299	10	restoration	restoration	NOUN
ejpam-4020	299	11	using	use	VERB
ejpam-4020	299	12	fourth	fourth	ADJ
ejpam-4020	299	13	-	-	PUNCT
ejpam-4020	299	14	order	order	NOUN
ejpam-4020	299	15	pde	pde	NOUN
ejpam-4020	299	16	model	model	NOUN
ejpam-4020	299	17	.	.	PUNCT
ejpam-4020	300	1	applied	apply	VERB
ejpam-4020	300	2	numerical	numerical	ADJ
ejpam-4020	300	3	mathematics	mathematic	NOUN
ejpam-4020	300	4	,	,	PUNCT
ejpam-4020	300	5	62(2):79–90	62(2):79–90	NUM
ejpam-4020	300	6	,	,	PUNCT
ejpam-4020	300	7	2012	2012	NUM
ejpam-4020	300	8	.	.	PUNCT
ejpam-4020	301	1	[	[	X
ejpam-4020	301	2	15	15	NUM
ejpam-4020	301	3	]	]	X
ejpam-4020	301	4	zhiyong	zhiyong	PROPN
ejpam-4020	301	5	xing	xing	PROPN
ejpam-4020	301	6	,	,	PUNCT
ejpam-4020	301	7	liping	liping	PROPN
ejpam-4020	301	8	wen	wen	PROPN
ejpam-4020	301	9	,	,	PUNCT
ejpam-4020	301	10	and	and	CCONJ
ejpam-4020	301	11	hanyu	hanyu	PROPN
ejpam-4020	301	12	xiao	xiao	PROPN
ejpam-4020	301	13	.	.	PUNCT
ejpam-4020	302	1	a	a	DET
ejpam-4020	302	2	fourth	fourth	ADJ
ejpam-4020	302	3	-	-	PUNCT
ejpam-4020	302	4	order	order	NOUN
ejpam-4020	302	5	conservative	conservative	ADJ
ejpam-4020	302	6	difference	difference	NOUN
ejpam-4020	302	7	scheme	scheme	NOUN
ejpam-4020	302	8	for	for	ADP
ejpam-4020	302	9	the	the	DET
ejpam-4020	302	10	riesz	riesz	PROPN
ejpam-4020	302	11	space	space	NOUN
ejpam-4020	302	12	-	-	PUNCT
ejpam-4020	302	13	fractional	fractional	ADJ
ejpam-4020	302	14	sine	sine	NOUN
ejpam-4020	302	15	-	-	PUNCT
ejpam-4020	302	16	gordon	gordon	PROPN
ejpam-4020	302	17	equations	equation	NOUN
ejpam-4020	302	18	and	and	CCONJ
ejpam-4020	302	19	its	its	PRON
ejpam-4020	302	20	fast	fast	ADJ
ejpam-4020	302	21	implementation	implementation	NOUN
ejpam-4020	302	22	.	.	PUNCT
ejpam-4020	303	1	applied	apply	VERB
ejpam-4020	303	2	numerical	numerical	ADJ
ejpam-4020	303	3	mathematics	mathematic	NOUN
ejpam-4020	303	4	,	,	PUNCT
ejpam-4020	303	5	159:221–238	159:221–238	NUM
ejpam-4020	303	6	,	,	PUNCT
ejpam-4020	303	7	2021	2021	NUM
ejpam-4020	303	8	.	.	PUNCT