id	sid	tid	token	lemma	pos
ejpam-4124	1	1	european	european	PROPN
ejpam-4124	1	2	journal	journal	PROPN
ejpam-4124	1	3	of	of	ADP
ejpam-4124	1	4	pure	pure	ADJ
ejpam-4124	1	5	and	and	CCONJ
ejpam-4124	1	6	applied	apply	VERB
ejpam-4124	1	7	mathematics	mathematic	NOUN
ejpam-4124	1	8	vol	vol	NOUN
ejpam-4124	1	9	.	.	PUNCT
ejpam-4124	2	1	14	14	NUM
ejpam-4124	2	2	,	,	PUNCT
ejpam-4124	2	3	no	no	INTJ
ejpam-4124	2	4	.	.	NOUN
ejpam-4124	2	5	4	4	NUM
ejpam-4124	2	6	,	,	PUNCT
ejpam-4124	2	7	2021	2021	NUM
ejpam-4124	2	8	,	,	PUNCT
ejpam-4124	2	9	1283	1283	NUM
ejpam-4124	2	10	-	-	SYM
ejpam-4124	2	11	1294	1294	NUM
ejpam-4124	2	12	issn	issn	VERB
ejpam-4124	2	13	1307	1307	NUM
ejpam-4124	2	14	-	-	SYM
ejpam-4124	2	15	5543	5543	NUM
ejpam-4124	2	16	–	–	PUNCT
ejpam-4124	3	1	ejpam.com	ejpam.com	X
ejpam-4124	3	2	published	publish	VERB
ejpam-4124	3	3	by	by	ADP
ejpam-4124	3	4	new	new	PROPN
ejpam-4124	3	5	york	york	PROPN
ejpam-4124	3	6	business	business	PROPN
ejpam-4124	3	7	global	global	PROPN
ejpam-4124	3	8	a	a	DET
ejpam-4124	3	9	new	new	ADJ
ejpam-4124	3	10	spline	spline	NOUN
ejpam-4124	3	11	method	method	NOUN
ejpam-4124	3	12	for	for	ADP
ejpam-4124	3	13	solving	solve	VERB
ejpam-4124	3	14	linear	linear	ADJ
ejpam-4124	3	15	two	two	NUM
ejpam-4124	3	16	-	-	PUNCT
ejpam-4124	3	17	point	point	NOUN
ejpam-4124	3	18	boundary	boundary	ADJ
ejpam-4124	3	19	value	value	NOUN
ejpam-4124	3	20	problems	problem	NOUN
ejpam-4124	3	21	ahmed	ahme	VERB
ejpam-4124	3	22	salem	salem	PROPN
ejpam-4124	3	23	heilat1,∗	heilat1,∗	PROPN
ejpam-4124	3	24	,	,	PUNCT
ejpam-4124	3	25	hamzeh	hamzeh	NOUN
ejpam-4124	3	26	zureigat1	zureigat1	PROPN
ejpam-4124	3	27	,	,	PUNCT
ejpam-4124	3	28	ra’ed	ra’ed	PROPN
ejpam-4124	3	29	hatamleh1	hatamleh1	PROPN
ejpam-4124	3	30	,	,	PUNCT
ejpam-4124	3	31	belal	belal	NOUN
ejpam-4124	3	32	batiha1	batiha1	NOUN
ejpam-4124	3	33	1	1	NUM
ejpam-4124	3	34	department	department	NOUN
ejpam-4124	3	35	of	of	ADP
ejpam-4124	3	36	mathematics	mathematic	NOUN
ejpam-4124	3	37	,	,	PUNCT
ejpam-4124	3	38	jadara	jadara	PROPN
ejpam-4124	3	39	university	university	PROPN
ejpam-4124	3	40	,	,	PUNCT
ejpam-4124	3	41	p.o	p.o	PROPN
ejpam-4124	3	42	.	.	PROPN
ejpam-4124	3	43	box(733	box(733	PROPN
ejpam-4124	3	44	)	)	PUNCT
ejpam-4124	3	45	,	,	PUNCT
ejpam-4124	3	46	21111	21111	NUM
ejpam-4124	3	47	irbid	irbid	NOUN
ejpam-4124	3	48	,	,	PUNCT
ejpam-4124	3	49	jordan	jordan	PROPN
ejpam-4124	3	50	abstract	abstract	PROPN
ejpam-4124	3	51	.	.	PUNCT
ejpam-4124	4	1	in	in	ADP
ejpam-4124	4	2	this	this	DET
ejpam-4124	4	3	paper	paper	NOUN
ejpam-4124	4	4	,	,	PUNCT
ejpam-4124	4	5	second	second	ADJ
ejpam-4124	4	6	order	order	NOUN
ejpam-4124	4	7	linear	linear	VERB
ejpam-4124	4	8	two	two	NUM
ejpam-4124	4	9	-	-	PUNCT
ejpam-4124	4	10	point	point	NOUN
ejpam-4124	4	11	boundary	boundary	ADJ
ejpam-4124	4	12	value	value	NOUN
ejpam-4124	4	13	problems	problem	NOUN
ejpam-4124	4	14	are	be	AUX
ejpam-4124	4	15	treated	treat	VERB
ejpam-4124	4	16	using	use	VERB
ejpam-4124	4	17	new	new	ADJ
ejpam-4124	4	18	method	method	NOUN
ejpam-4124	4	19	based	base	VERB
ejpam-4124	4	20	on	on	ADP
ejpam-4124	4	21	hybrid	hybrid	ADJ
ejpam-4124	4	22	cubic	cubic	ADJ
ejpam-4124	4	23	b	b	NOUN
ejpam-4124	4	24	-	-	NOUN
ejpam-4124	4	25	spline	spline	NOUN
ejpam-4124	4	26	.	.	PUNCT
ejpam-4124	5	1	the	the	DET
ejpam-4124	5	2	values	value	NOUN
ejpam-4124	5	3	of	of	ADP
ejpam-4124	5	4	the	the	DET
ejpam-4124	5	5	free	free	ADJ
ejpam-4124	5	6	parameter	parameter	NOUN
ejpam-4124	5	7	,	,	PUNCT
ejpam-4124	5	8	γ	γ	X
ejpam-4124	5	9	,	,	PUNCT
ejpam-4124	5	10	are	be	AUX
ejpam-4124	5	11	chosen	choose	VERB
ejpam-4124	5	12	via	via	ADP
ejpam-4124	5	13	optimization	optimization	NOUN
ejpam-4124	5	14	.	.	PUNCT
ejpam-4124	6	1	the	the	DET
ejpam-4124	6	2	value	value	NOUN
ejpam-4124	6	3	of	of	ADP
ejpam-4124	6	4	the	the	DET
ejpam-4124	6	5	free	free	ADJ
ejpam-4124	6	6	parameter	parameter	NOUN
ejpam-4124	6	7	plays	play	VERB
ejpam-4124	6	8	an	an	DET
ejpam-4124	6	9	important	important	ADJ
ejpam-4124	6	10	role	role	NOUN
ejpam-4124	6	11	in	in	ADP
ejpam-4124	6	12	giving	give	VERB
ejpam-4124	6	13	accurate	accurate	ADJ
ejpam-4124	6	14	results	result	NOUN
ejpam-4124	6	15	.	.	PUNCT
ejpam-4124	7	1	optimization	optimization	NOUN
ejpam-4124	7	2	of	of	ADP
ejpam-4124	7	3	this	this	DET
ejpam-4124	7	4	parameter	parameter	NOUN
ejpam-4124	7	5	is	be	AUX
ejpam-4124	7	6	carried	carry	VERB
ejpam-4124	7	7	out	out	ADP
ejpam-4124	7	8	.	.	PUNCT
ejpam-4124	8	1	this	this	DET
ejpam-4124	8	2	method	method	NOUN
ejpam-4124	8	3	is	be	AUX
ejpam-4124	8	4	tested	test	VERB
ejpam-4124	8	5	on	on	ADP
ejpam-4124	8	6	four	four	NUM
ejpam-4124	8	7	examples	example	NOUN
ejpam-4124	8	8	and	and	CCONJ
ejpam-4124	8	9	a	a	DET
ejpam-4124	8	10	comparison	comparison	NOUN
ejpam-4124	8	11	with	with	ADP
ejpam-4124	8	12	cubic	cubic	ADJ
ejpam-4124	8	13	b	b	NOUN
ejpam-4124	8	14	-	-	PUNCT
ejpam-4124	8	15	spline	spline	NOUN
ejpam-4124	8	16	,	,	PUNCT
ejpam-4124	8	17	trigonometric	trigonometric	PROPN
ejpam-4124	8	18	cubic	cubic	ADJ
ejpam-4124	8	19	b	b	PROPN
ejpam-4124	8	20	-	-	PUNCT
ejpam-4124	8	21	spline	spline	NOUN
ejpam-4124	8	22	and	and	CCONJ
ejpam-4124	8	23	extended	extend	VERB
ejpam-4124	8	24	cubic	cubic	ADJ
ejpam-4124	8	25	b	b	NOUN
ejpam-4124	8	26	-	-	PUNCT
ejpam-4124	8	27	spline	spline	NOUN
ejpam-4124	8	28	methods	method	NOUN
ejpam-4124	8	29	has	have	AUX
ejpam-4124	8	30	been	be	AUX
ejpam-4124	8	31	carried	carry	VERB
ejpam-4124	8	32	out	out	ADP
ejpam-4124	8	33	.	.	PUNCT
ejpam-4124	9	1	the	the	DET
ejpam-4124	9	2	examples	example	NOUN
ejpam-4124	9	3	suggest	suggest	VERB
ejpam-4124	9	4	that	that	SCONJ
ejpam-4124	9	5	this	this	DET
ejpam-4124	9	6	method	method	NOUN
ejpam-4124	9	7	produces	produce	VERB
ejpam-4124	9	8	more	more	ADV
ejpam-4124	9	9	accurate	accurate	ADJ
ejpam-4124	9	10	results	result	NOUN
ejpam-4124	9	11	than	than	ADP
ejpam-4124	9	12	the	the	DET
ejpam-4124	9	13	other	other	ADJ
ejpam-4124	9	14	three	three	NUM
ejpam-4124	9	15	methods	method	NOUN
ejpam-4124	9	16	.	.	PUNCT
ejpam-4124	10	1	the	the	DET
ejpam-4124	10	2	numerical	numerical	ADJ
ejpam-4124	10	3	results	result	NOUN
ejpam-4124	10	4	are	be	AUX
ejpam-4124	10	5	presented	present	VERB
ejpam-4124	10	6	to	to	PART
ejpam-4124	10	7	illustrate	illustrate	VERB
ejpam-4124	10	8	the	the	DET
ejpam-4124	10	9	efficiency	efficiency	NOUN
ejpam-4124	10	10	of	of	ADP
ejpam-4124	10	11	our	our	PRON
ejpam-4124	10	12	method	method	NOUN
ejpam-4124	10	13	.	.	PUNCT
ejpam-4124	11	1	2020	2020	NUM
ejpam-4124	11	2	mathematics	mathematic	NOUN
ejpam-4124	11	3	subject	subject	NOUN
ejpam-4124	11	4	classifications	classification	NOUN
ejpam-4124	11	5	:	:	PUNCT
ejpam-4124	11	6	34b05	34b05	NUM
ejpam-4124	11	7	,	,	PUNCT
ejpam-4124	11	8	65l10	65l10	NUM
ejpam-4124	11	9	key	key	ADJ
ejpam-4124	11	10	words	word	NOUN
ejpam-4124	11	11	and	and	CCONJ
ejpam-4124	11	12	phrases	phrase	NOUN
ejpam-4124	11	13	:	:	PUNCT
ejpam-4124	11	14	two	two	NUM
ejpam-4124	11	15	-	-	PUNCT
ejpam-4124	11	16	point	point	NOUN
ejpam-4124	11	17	boundary	boundary	ADJ
ejpam-4124	11	18	value	value	NOUN
ejpam-4124	11	19	problems	problem	NOUN
ejpam-4124	11	20	,	,	PUNCT
ejpam-4124	11	21	cubic	cubic	ADJ
ejpam-4124	11	22	b	b	NOUN
ejpam-4124	11	23	-	-	PUNCT
ejpam-4124	11	24	spline	spline	NOUN
ejpam-4124	11	25	,	,	PUNCT
ejpam-4124	11	26	trigonometric	trigonometric	PROPN
ejpam-4124	11	27	cubic	cubic	ADJ
ejpam-4124	11	28	b	b	PROPN
ejpam-4124	11	29	-	-	PUNCT
ejpam-4124	11	30	spline	spline	NOUN
ejpam-4124	11	31	,	,	PUNCT
ejpam-4124	11	32	hybrid	hybrid	ADJ
ejpam-4124	11	33	cubic	cubic	ADJ
ejpam-4124	11	34	b	b	NOUN
ejpam-4124	11	35	-	-	PUNCT
ejpam-4124	11	36	spline	spline	NOUN
ejpam-4124	11	37	1	1	NUM
ejpam-4124	11	38	.	.	PUNCT
ejpam-4124	12	1	introduction	introduction	NOUN
ejpam-4124	12	2	boundary	boundary	ADJ
ejpam-4124	12	3	value	value	NOUN
ejpam-4124	12	4	problems	problem	NOUN
ejpam-4124	12	5	occur	occur	VERB
ejpam-4124	12	6	in	in	ADP
ejpam-4124	12	7	various	various	ADJ
ejpam-4124	12	8	fields	field	NOUN
ejpam-4124	12	9	of	of	ADP
ejpam-4124	12	10	physics	physics	NOUN
ejpam-4124	12	11	,	,	PUNCT
ejpam-4124	12	12	applied	apply	VERB
ejpam-4124	12	13	mathematics	mathematic	NOUN
ejpam-4124	12	14	,	,	PUNCT
ejpam-4124	12	15	chemistry	chemistry	NOUN
ejpam-4124	12	16	,	,	PUNCT
ejpam-4124	12	17	biology	biology	NOUN
ejpam-4124	12	18	,	,	PUNCT
ejpam-4124	12	19	and	and	CCONJ
ejpam-4124	12	20	engineering	engineering	NOUN
ejpam-4124	12	21	.	.	PUNCT
ejpam-4124	13	1	consider	consider	VERB
ejpam-4124	13	2	the	the	DET
ejpam-4124	13	3	general	general	ADJ
ejpam-4124	13	4	form	form	NOUN
ejpam-4124	13	5	of	of	ADP
ejpam-4124	13	6	linear	linear	ADJ
ejpam-4124	13	7	second	second	ADJ
ejpam-4124	13	8	-	-	PUNCT
ejpam-4124	13	9	order	order	NOUN
ejpam-4124	13	10	two	two	NUM
ejpam-4124	13	11	-	-	PUNCT
ejpam-4124	13	12	point	point	NOUN
ejpam-4124	13	13	boundary	boundary	ADJ
ejpam-4124	13	14	value	value	NOUN
ejpam-4124	13	15	problem	problem	NOUN
ejpam-4124	13	16	:	:	PUNCT
ejpam-4124	13	17	u′′(x	u′′(x	X
ejpam-4124	13	18	)	)	PUNCT
ejpam-4124	13	19	+	+	NOUN
ejpam-4124	13	20	m(x)u′(x	m(x)u′(x	X
ejpam-4124	13	21	)	)	PUNCT
ejpam-4124	13	22	+	+	NUM
ejpam-4124	13	23	n(x)u(x	n(x)u(x	NOUN
ejpam-4124	13	24	)	)	PUNCT
ejpam-4124	14	1	=	=	SYM
ejpam-4124	14	2	r(x	r(x	PROPN
ejpam-4124	14	3	)	)	PUNCT
ejpam-4124	14	4	,	,	PUNCT
ejpam-4124	14	5	x	x	PUNCT
ejpam-4124	14	6	∈	∈	PROPN
ejpam-4124	15	1	[	[	X
ejpam-4124	15	2	0	0	NUM
ejpam-4124	15	3	,	,	PUNCT
ejpam-4124	15	4	1	1	NUM
ejpam-4124	15	5	]	]	PUNCT
ejpam-4124	15	6	,	,	PUNCT
ejpam-4124	15	7	u(0	u(0	NOUN
ejpam-4124	15	8	)	)	PUNCT
ejpam-4124	15	9	=	=	SYM
ejpam-4124	15	10	β1	β1	PROPN
ejpam-4124	15	11	,	,	PUNCT
ejpam-4124	15	12	u(1	u(1	PROPN
ejpam-4124	15	13	)	)	PUNCT
ejpam-4124	15	14	=	=	SYM
ejpam-4124	16	1	β2	β2	VERB
ejpam-4124	16	2	,	,	PUNCT
ejpam-4124	16	3	(	(	PUNCT
ejpam-4124	16	4	1	1	X
ejpam-4124	16	5	)	)	PUNCT
ejpam-4124	17	1	where	where	SCONJ
ejpam-4124	17	2	m(x	m(x	PROPN
ejpam-4124	17	3	)	)	PUNCT
ejpam-4124	17	4	,	,	PUNCT
ejpam-4124	17	5	n(x	n(x	PROPN
ejpam-4124	17	6	)	)	PUNCT
ejpam-4124	17	7	,	,	PUNCT
ejpam-4124	17	8	r(x	r(x	PROPN
ejpam-4124	17	9	)	)	PUNCT
ejpam-4124	17	10	∈	∈	PROPN
ejpam-4124	17	11	c0[0	c0[0	PROPN
ejpam-4124	17	12	,	,	PUNCT
ejpam-4124	17	13	1	1	NUM
ejpam-4124	17	14	]	]	PUNCT
ejpam-4124	17	15	and	and	CCONJ
ejpam-4124	17	16	n(x	n(x	NOUN
ejpam-4124	17	17	)	)	PUNCT
ejpam-4124	17	18	<	<	X
ejpam-4124	17	19	0	0	NUM
ejpam-4124	17	20	on	on	ADP
ejpam-4124	17	21	[	[	X
ejpam-4124	17	22	0	0	NUM
ejpam-4124	17	23	,	,	PUNCT
ejpam-4124	17	24	1	1	NUM
ejpam-4124	17	25	]	]	PUNCT
ejpam-4124	18	1	.	.	PUNCT
ejpam-4124	19	1	the	the	DET
ejpam-4124	19	2	existence	existence	NOUN
ejpam-4124	19	3	of	of	ADP
ejpam-4124	19	4	solution	solution	NOUN
ejpam-4124	19	5	to	to	ADP
ejpam-4124	19	6	such	such	ADJ
ejpam-4124	19	7	problem	problem	NOUN
ejpam-4124	19	8	was	be	AUX
ejpam-4124	19	9	studied	study	VERB
ejpam-4124	19	10	in	in	ADP
ejpam-4124	19	11	[	[	X
ejpam-4124	19	12	1	1	NUM
ejpam-4124	19	13	,	,	PUNCT
ejpam-4124	19	14	2	2	NUM
ejpam-4124	19	15	]	]	PUNCT
ejpam-4124	19	16	.	.	PUNCT
ejpam-4124	20	1	linear	linear	PROPN
ejpam-4124	20	2	two	two	NUM
ejpam-4124	20	3	-	-	PUNCT
ejpam-4124	20	4	point	point	NOUN
ejpam-4124	20	5	boundary	boundary	ADJ
ejpam-4124	20	6	value	value	NOUN
ejpam-4124	20	7	problems	problem	NOUN
ejpam-4124	20	8	have	have	AUX
ejpam-4124	20	9	been	be	AUX
ejpam-4124	20	10	discussed	discuss	VERB
ejpam-4124	20	11	widely	widely	ADV
ejpam-4124	20	12	and	and	CCONJ
ejpam-4124	20	13	solved	solve	VERB
ejpam-4124	20	14	numerically	numerically	ADV
ejpam-4124	20	15	by	by	ADP
ejpam-4124	20	16	many	many	ADJ
ejpam-4124	20	17	authors	author	NOUN
ejpam-4124	21	1	[	[	X
ejpam-4124	21	2	3–9	3–9	NUM
ejpam-4124	21	3	,	,	PUNCT
ejpam-4124	21	4	14	14	NUM
ejpam-4124	21	5	,	,	PUNCT
ejpam-4124	21	6	21	21	NUM
ejpam-4124	21	7	,	,	PUNCT
ejpam-4124	21	8	24	24	NUM
ejpam-4124	21	9	,	,	PUNCT
ejpam-4124	21	10	26	26	NUM
ejpam-4124	21	11	]	]	PUNCT
ejpam-4124	21	12	.	.	PUNCT
ejpam-4124	22	1	homotopy	homotopy	NOUN
ejpam-4124	22	2	perturbation	perturbation	NOUN
ejpam-4124	22	3	method	method	NOUN
ejpam-4124	22	4	is	be	AUX
ejpam-4124	22	5	better	well	ADJ
ejpam-4124	22	6	than	than	ADP
ejpam-4124	22	7	most	most	ADJ
ejpam-4124	22	8	of	of	ADP
ejpam-4124	22	9	the	the	DET
ejpam-4124	22	10	other	other	ADJ
ejpam-4124	22	11	methods	method	NOUN
ejpam-4124	22	12	in	in	ADP
ejpam-4124	22	13	the	the	DET
ejpam-4124	22	14	literature	literature	NOUN
ejpam-4124	22	15	in	in	ADP
ejpam-4124	22	16	giving	give	VERB
ejpam-4124	22	17	accurate	accurate	ADJ
ejpam-4124	22	18	results	result	NOUN
ejpam-4124	22	19	with	with	ADP
ejpam-4124	22	20	rapid	rapid	ADJ
ejpam-4124	22	21	convergence	convergence	NOUN
ejpam-4124	22	22	[	[	X
ejpam-4124	22	23	4	4	NUM
ejpam-4124	22	24	]	]	PUNCT
ejpam-4124	22	25	.	.	PUNCT
ejpam-4124	23	1	variational	variational	ADJ
ejpam-4124	23	2	iteration	iteration	NOUN
ejpam-4124	23	3	method	method	NOUN
ejpam-4124	23	4	is	be	AUX
ejpam-4124	23	5	successful	successful	ADJ
ejpam-4124	23	6	in	in	ADP
ejpam-4124	23	7	dealing	deal	VERB
ejpam-4124	23	8	with	with	ADP
ejpam-4124	23	9	singular	singular	ADJ
ejpam-4124	23	10	problems	problem	NOUN
ejpam-4124	23	11	.	.	PUNCT
ejpam-4124	24	1	∗corresponding	∗corresponde	VERB
ejpam-4124	24	2	author	author	NOUN
ejpam-4124	24	3	.	.	PUNCT
ejpam-4124	25	1	doi	doi	NOUN
ejpam-4124	25	2	:	:	PUNCT
ejpam-4124	25	3	https://doi.org/10.29020/nybg.ejpam.v14i4.4124	https://doi.org/10.29020/nybg.ejpam.v14i4.4124	PROPN
ejpam-4124	25	4	email	email	NOUN
ejpam-4124	25	5	addresses	address	NOUN
ejpam-4124	25	6	:	:	PUNCT
ejpam-4124	25	7	ahmed	ahmed	PROPN
ejpam-4124	25	8	heilat@yahoo.com	heilat@yahoo.com	PROPN
ejpam-4124	25	9	(	(	PUNCT
ejpam-4124	25	10	a.	a.	PROPN
ejpam-4124	25	11	s.	s.	PROPN
ejpam-4124	25	12	heilat	heilat	PROPN
ejpam-4124	25	13	)	)	PUNCT
ejpam-4124	25	14	,	,	PUNCT
ejpam-4124	25	15	hamzeh.zu@jadara.edu.jo	hamzeh.zu@jadara.edu.jo	ADV
ejpam-4124	25	16	(	(	PUNCT
ejpam-4124	25	17	h.	h.	PROPN
ejpam-4124	25	18	zureigat	zureigat	PROPN
ejpam-4124	25	19	)	)	PUNCT
ejpam-4124	25	20	,	,	PUNCT
ejpam-4124	25	21	raedhat@yahoo.com	raedhat@yahoo.com	X
ejpam-4124	25	22	(	(	PUNCT
ejpam-4124	25	23	r.	r.	PROPN
ejpam-4124	25	24	hatamleh	hatamleh	PROPN
ejpam-4124	25	25	)	)	PUNCT
ejpam-4124	25	26	,	,	PUNCT
ejpam-4124	25	27	belalbatiha@gmail.com	belalbatiha@gmail.com	X
ejpam-4124	25	28	(	(	PUNCT
ejpam-4124	25	29	b.	b.	PROPN
ejpam-4124	25	30	batiha	batiha	PROPN
ejpam-4124	25	31	)	)	PUNCT
ejpam-4124	25	32	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4124	25	33	1283	1283	NUM
ejpam-4124	26	1	©	©	PROPN
ejpam-4124	26	2	2021	2021	NUM
ejpam-4124	26	3	ejpam	ejpam	VERB
ejpam-4124	26	4	all	all	DET
ejpam-4124	26	5	rights	right	NOUN
ejpam-4124	26	6	reserved	reserve	VERB
ejpam-4124	26	7	.	.	PUNCT
ejpam-4124	27	1	a.	a.	PROPN
ejpam-4124	27	2	s.	s.	PROPN
ejpam-4124	27	3	heilat	heilat	PROPN
ejpam-4124	27	4	et	et	PROPN
ejpam-4124	27	5	al	al	PROPN
ejpam-4124	27	6	.	.	PUNCT
ejpam-4124	27	7	/	/	SYM
ejpam-4124	27	8	eur	eur	PROPN
ejpam-4124	27	9	.	.	PUNCT
ejpam-4124	28	1	j.	j.	PROPN
ejpam-4124	28	2	pure	pure	PROPN
ejpam-4124	28	3	appl	appl	PROPN
ejpam-4124	28	4	.	.	PROPN
ejpam-4124	28	5	math	math	PROPN
ejpam-4124	28	6	,	,	PUNCT
ejpam-4124	28	7	14	14	NUM
ejpam-4124	28	8	(	(	PUNCT
ejpam-4124	28	9	4	4	NUM
ejpam-4124	28	10	)	)	PUNCT
ejpam-4124	28	11	(	(	PUNCT
ejpam-4124	28	12	2021	2021	NUM
ejpam-4124	28	13	)	)	PUNCT
ejpam-4124	28	14	,	,	PUNCT
ejpam-4124	28	15	1283	1283	NUM
ejpam-4124	28	16	-	-	SYM
ejpam-4124	28	17	1294	1294	NUM
ejpam-4124	28	18	1284	1284	NUM
ejpam-4124	28	19	moreover	moreover	ADV
ejpam-4124	28	20	,	,	PUNCT
ejpam-4124	28	21	this	this	DET
ejpam-4124	28	22	method	method	NOUN
ejpam-4124	28	23	does	do	AUX
ejpam-4124	28	24	not	not	PART
ejpam-4124	28	25	need	need	VERB
ejpam-4124	28	26	discretization	discretization	NOUN
ejpam-4124	28	27	,	,	PUNCT
ejpam-4124	28	28	interpolation	interpolation	NOUN
ejpam-4124	28	29	and	and	CCONJ
ejpam-4124	28	30	it	it	PRON
ejpam-4124	28	31	can	can	AUX
ejpam-4124	28	32	derive	derive	VERB
ejpam-4124	28	33	the	the	DET
ejpam-4124	28	34	exact	exact	ADJ
ejpam-4124	28	35	solution	solution	NOUN
ejpam-4124	28	36	by	by	ADP
ejpam-4124	28	37	using	use	VERB
ejpam-4124	28	38	one	one	NUM
ejpam-4124	28	39	iteration	iteration	NOUN
ejpam-4124	28	40	only	only	ADV
ejpam-4124	28	41	.	.	PUNCT
ejpam-4124	29	1	this	this	DET
ejpam-4124	29	2	method	method	NOUN
ejpam-4124	29	3	is	be	AUX
ejpam-4124	29	4	also	also	ADV
ejpam-4124	29	5	valid	valid	ADJ
ejpam-4124	29	6	for	for	ADP
ejpam-4124	29	7	large	large	ADJ
ejpam-4124	29	8	coefficients	coefficient	NOUN
ejpam-4124	29	9	[	[	X
ejpam-4124	29	10	5	5	NUM
ejpam-4124	29	11	]	]	PUNCT
ejpam-4124	29	12	.	.	PUNCT
ejpam-4124	30	1	the	the	DET
ejpam-4124	30	2	extended	extended	ADJ
ejpam-4124	30	3	adomian	adomian	NOUN
ejpam-4124	30	4	decomposition	decomposition	NOUN
ejpam-4124	30	5	method	method	NOUN
ejpam-4124	30	6	is	be	AUX
ejpam-4124	30	7	a	a	DET
ejpam-4124	30	8	very	very	ADV
ejpam-4124	30	9	effective	effective	ADJ
ejpam-4124	30	10	algorithm	algorithm	NOUN
ejpam-4124	30	11	which	which	PRON
ejpam-4124	30	12	provides	provide	VERB
ejpam-4124	30	13	promising	promising	ADJ
ejpam-4124	30	14	results	result	NOUN
ejpam-4124	30	15	with	with	ADP
ejpam-4124	30	16	simple	simple	ADJ
ejpam-4124	30	17	calculations	calculation	NOUN
ejpam-4124	30	18	[	[	X
ejpam-4124	30	19	6	6	NUM
ejpam-4124	30	20	]	]	PUNCT
ejpam-4124	30	21	.	.	PUNCT
ejpam-4124	31	1	spectral	spectral	ADJ
ejpam-4124	31	2	method	method	NOUN
ejpam-4124	31	3	gives	give	VERB
ejpam-4124	31	4	highly	highly	ADV
ejpam-4124	31	5	accurate	accurate	ADJ
ejpam-4124	31	6	solutions	solution	NOUN
ejpam-4124	31	7	to	to	ADP
ejpam-4124	31	8	boundary	boundary	ADJ
ejpam-4124	31	9	value	value	NOUN
ejpam-4124	31	10	problems	problem	NOUN
ejpam-4124	31	11	[	[	X
ejpam-4124	31	12	7	7	NUM
ejpam-4124	31	13	]	]	PUNCT
ejpam-4124	31	14	.	.	PUNCT
ejpam-4124	32	1	reproducing	reproduce	VERB
ejpam-4124	32	2	kernel	kernel	PROPN
ejpam-4124	32	3	gives	give	VERB
ejpam-4124	32	4	quite	quite	ADV
ejpam-4124	32	5	accurate	accurate	ADJ
ejpam-4124	32	6	and	and	CCONJ
ejpam-4124	32	7	efficient	efficient	ADJ
ejpam-4124	32	8	solution	solution	NOUN
ejpam-4124	32	9	for	for	ADP
ejpam-4124	32	10	linear	linear	ADJ
ejpam-4124	32	11	fourth	fourth	ADJ
ejpam-4124	32	12	-	-	PUNCT
ejpam-4124	32	13	order	order	NOUN
ejpam-4124	32	14	multi	multi	ADJ
ejpam-4124	32	15	-	-	ADJ
ejpam-4124	32	16	point	point	ADJ
ejpam-4124	32	17	boundary	boundary	ADJ
ejpam-4124	32	18	value	value	NOUN
ejpam-4124	32	19	problems	problem	NOUN
ejpam-4124	32	20	[	[	X
ejpam-4124	32	21	8	8	NUM
ejpam-4124	32	22	,	,	PUNCT
ejpam-4124	32	23	9	9	NUM
ejpam-4124	32	24	]	]	PUNCT
ejpam-4124	32	25	.	.	PUNCT
ejpam-4124	33	1	finite	finite	PROPN
ejpam-4124	33	2	difference	difference	NOUN
ejpam-4124	33	3	method	method	NOUN
ejpam-4124	33	4	gives	give	VERB
ejpam-4124	33	5	highly	highly	ADV
ejpam-4124	33	6	accurate	accurate	ADJ
ejpam-4124	33	7	results	result	NOUN
ejpam-4124	33	8	only	only	ADV
ejpam-4124	33	9	at	at	ADP
ejpam-4124	33	10	the	the	DET
ejpam-4124	33	11	chosen	choose	VERB
ejpam-4124	33	12	knots	knot	NOUN
ejpam-4124	33	13	whereas	whereas	SCONJ
ejpam-4124	33	14	in	in	ADP
ejpam-4124	33	15	some	some	DET
ejpam-4124	33	16	other	other	ADJ
ejpam-4124	33	17	methods	method	NOUN
ejpam-4124	33	18	,	,	PUNCT
ejpam-4124	33	19	the	the	DET
ejpam-4124	33	20	results	result	NOUN
ejpam-4124	33	21	can	can	AUX
ejpam-4124	33	22	be	be	AUX
ejpam-4124	33	23	obtained	obtain	VERB
ejpam-4124	33	24	at	at	ADP
ejpam-4124	33	25	any	any	DET
ejpam-4124	33	26	point	point	NOUN
ejpam-4124	33	27	in	in	ADP
ejpam-4124	33	28	the	the	DET
ejpam-4124	33	29	domain	domain	NOUN
ejpam-4124	33	30	[	[	X
ejpam-4124	33	31	3	3	NUM
ejpam-4124	33	32	,	,	PUNCT
ejpam-4124	33	33	15	15	NUM
ejpam-4124	33	34	]	]	PUNCT
ejpam-4124	33	35	.	.	PUNCT
ejpam-4124	34	1	the	the	DET
ejpam-4124	34	2	aim	aim	NOUN
ejpam-4124	34	3	of	of	ADP
ejpam-4124	34	4	this	this	DET
ejpam-4124	34	5	research	research	NOUN
ejpam-4124	34	6	is	be	AUX
ejpam-4124	34	7	to	to	PART
ejpam-4124	34	8	use	use	VERB
ejpam-4124	34	9	hybrid	hybrid	ADJ
ejpam-4124	34	10	cubic	cubic	ADJ
ejpam-4124	34	11	b	b	NOUN
ejpam-4124	34	12	-	-	PUNCT
ejpam-4124	34	13	spline	spline	NOUN
ejpam-4124	34	14	(	(	PUNCT
ejpam-4124	34	15	hcbsm	hcbsm	NOUN
ejpam-4124	34	16	)	)	PUNCT
ejpam-4124	34	17	to	to	PART
ejpam-4124	34	18	solve	solve	VERB
ejpam-4124	34	19	equation	equation	NOUN
ejpam-4124	34	20	(	(	PUNCT
ejpam-4124	34	21	1	1	NUM
ejpam-4124	34	22	)	)	PUNCT
ejpam-4124	34	23	.	.	PUNCT
ejpam-4124	35	1	this	this	DET
ejpam-4124	35	2	equation	equation	NOUN
ejpam-4124	35	3	had	have	AUX
ejpam-4124	35	4	already	already	ADV
ejpam-4124	35	5	been	be	AUX
ejpam-4124	35	6	treated	treat	VERB
ejpam-4124	35	7	using	use	VERB
ejpam-4124	35	8	cubic	cubic	ADJ
ejpam-4124	35	9	b	b	PROPN
ejpam-4124	35	10	-	-	PUNCT
ejpam-4124	35	11	spline	spline	NOUN
ejpam-4124	35	12	method	method	NOUN
ejpam-4124	35	13	(	(	PUNCT
ejpam-4124	35	14	cbsm	cbsm	PROPN
ejpam-4124	35	15	)	)	PUNCT
ejpam-4124	35	16	,	,	PUNCT
ejpam-4124	35	17	trigonometric	trigonometric	PROPN
ejpam-4124	35	18	cubic	cubic	ADJ
ejpam-4124	35	19	b	b	PROPN
ejpam-4124	35	20	-	-	PUNCT
ejpam-4124	35	21	spline	spline	NOUN
ejpam-4124	35	22	method	method	NOUN
ejpam-4124	35	23	(	(	PUNCT
ejpam-4124	35	24	tcbsm	tcbsm	NOUN
ejpam-4124	35	25	)	)	PUNCT
ejpam-4124	35	26	,	,	PUNCT
ejpam-4124	35	27	extended	extend	VERB
ejpam-4124	35	28	cubic	cubic	ADJ
ejpam-4124	35	29	b	b	PROPN
ejpam-4124	35	30	-	-	PUNCT
ejpam-4124	35	31	spline	spline	NOUN
ejpam-4124	35	32	method	method	NOUN
ejpam-4124	35	33	(	(	PUNCT
ejpam-4124	35	34	ecbsm	ecbsm	NOUN
ejpam-4124	35	35	)	)	PUNCT
ejpam-4124	35	36	,	,	PUNCT
ejpam-4124	35	37	and	and	CCONJ
ejpam-4124	35	38	bs2	bs2	PROPN
ejpam-4124	35	39	methods	method	NOUN
ejpam-4124	35	40	.	.	PUNCT
ejpam-4124	36	1	ecbsm	ecbsm	NOUN
ejpam-4124	36	2	is	be	AUX
ejpam-4124	36	3	by	by	ADP
ejpam-4124	36	4	far	far	ADV
ejpam-4124	36	5	the	the	DET
ejpam-4124	36	6	efficient	efficient	ADJ
ejpam-4124	36	7	spline	spline	NOUN
ejpam-4124	36	8	-	-	PUNCT
ejpam-4124	36	9	based	base	VERB
ejpam-4124	36	10	method	method	NOUN
ejpam-4124	36	11	in	in	ADP
ejpam-4124	36	12	producing	produce	VERB
ejpam-4124	36	13	accurate	accurate	ADJ
ejpam-4124	36	14	results	result	NOUN
ejpam-4124	36	15	[	[	X
ejpam-4124	36	16	15–18	15–18	NUM
ejpam-4124	36	17	]	]	PUNCT
ejpam-4124	36	18	.	.	PUNCT
ejpam-4124	37	1	cubic	cubic	ADJ
ejpam-4124	37	2	spline	spline	NOUN
ejpam-4124	37	3	is	be	AUX
ejpam-4124	37	4	used	use	VERB
ejpam-4124	37	5	to	to	PART
ejpam-4124	37	6	obtain	obtain	VERB
ejpam-4124	37	7	the	the	DET
ejpam-4124	37	8	solution	solution	NOUN
ejpam-4124	37	9	at	at	ADP
ejpam-4124	37	10	any	any	DET
ejpam-4124	37	11	point	point	NOUN
ejpam-4124	37	12	in	in	ADP
ejpam-4124	37	13	the	the	DET
ejpam-4124	37	14	range	range	NOUN
ejpam-4124	38	1	[	[	X
ejpam-4124	38	2	10	10	NUM
ejpam-4124	38	3	–	–	PUNCT
ejpam-4124	38	4	13	13	NUM
ejpam-4124	38	5	]	]	PUNCT
ejpam-4124	38	6	.	.	PUNCT
ejpam-4124	39	1	b	b	X
ejpam-4124	39	2	-	-	PUNCT
ejpam-4124	39	3	spline	spline	NOUN
ejpam-4124	39	4	interpolation	interpolation	NOUN
ejpam-4124	39	5	is	be	AUX
ejpam-4124	39	6	the	the	DET
ejpam-4124	39	7	efficient	efficient	ADJ
ejpam-4124	39	8	to	to	PART
ejpam-4124	39	9	interpolate	interpolate	VERB
ejpam-4124	39	10	any	any	DET
ejpam-4124	39	11	smooth	smooth	ADJ
ejpam-4124	39	12	functions	function	NOUN
ejpam-4124	39	13	comparing	compare	VERB
ejpam-4124	39	14	with	with	ADP
ejpam-4124	39	15	finite	finite	ADJ
ejpam-4124	39	16	difference	difference	NOUN
ejpam-4124	39	17	,	,	PUNCT
ejpam-4124	39	18	finite	finite	NOUN
ejpam-4124	39	19	element	element	NOUN
ejpam-4124	39	20	,	,	PUNCT
ejpam-4124	39	21	finite	finite	ADJ
ejpam-4124	39	22	volume	volume	NOUN
ejpam-4124	39	23	methods	method	NOUN
ejpam-4124	39	24	[	[	X
ejpam-4124	39	25	15	15	NUM
ejpam-4124	39	26	]	]	PUNCT
ejpam-4124	39	27	.	.	PUNCT
ejpam-4124	40	1	cubic	cubic	ADJ
ejpam-4124	40	2	trigonometric	trigonometric	PROPN
ejpam-4124	40	3	bspline	bspline	NOUN
ejpam-4124	40	4	produces	produce	VERB
ejpam-4124	40	5	more	more	ADV
ejpam-4124	40	6	accurate	accurate	ADJ
ejpam-4124	40	7	results	result	NOUN
ejpam-4124	40	8	compared	compare	VERB
ejpam-4124	40	9	to	to	ADP
ejpam-4124	40	10	cubic	cubic	ADJ
ejpam-4124	40	11	b	b	PROPN
ejpam-4124	40	12	-	-	PUNCT
ejpam-4124	40	13	spline	spline	NOUN
ejpam-4124	40	14	if	if	SCONJ
ejpam-4124	40	15	the	the	DET
ejpam-4124	40	16	problems	problem	NOUN
ejpam-4124	40	17	were	be	AUX
ejpam-4124	40	18	trigonometric	trigonometric	ADJ
ejpam-4124	40	19	[	[	X
ejpam-4124	40	20	16	16	NUM
ejpam-4124	40	21	]	]	PUNCT
ejpam-4124	40	22	.	.	PUNCT
ejpam-4124	41	1	the	the	DET
ejpam-4124	41	2	ecbsm	ecbsm	NOUN
ejpam-4124	41	3	have	have	VERB
ejpam-4124	41	4	a	a	DET
ejpam-4124	41	5	free	free	ADJ
ejpam-4124	41	6	parameter	parameter	NOUN
ejpam-4124	41	7	λ	λ	PROPN
ejpam-4124	41	8	,	,	PUNCT
ejpam-4124	41	9	and	and	CCONJ
ejpam-4124	41	10	this	this	DET
ejpam-4124	41	11	parameter	parameter	NOUN
ejpam-4124	41	12	is	be	AUX
ejpam-4124	41	13	important	important	ADJ
ejpam-4124	41	14	to	to	PART
ejpam-4124	41	15	give	give	VERB
ejpam-4124	41	16	more	more	ADV
ejpam-4124	41	17	accurate	accurate	ADJ
ejpam-4124	41	18	results	result	NOUN
ejpam-4124	41	19	.	.	PUNCT
ejpam-4124	42	1	the	the	DET
ejpam-4124	42	2	value	value	NOUN
ejpam-4124	42	3	of	of	ADP
ejpam-4124	42	4	λ	λ	PROPN
ejpam-4124	42	5	can	can	AUX
ejpam-4124	42	6	be	be	AUX
ejpam-4124	42	7	obtained	obtain	VERB
ejpam-4124	42	8	by	by	ADP
ejpam-4124	42	9	optimization	optimization	NOUN
ejpam-4124	42	10	[	[	X
ejpam-4124	42	11	17	17	NUM
ejpam-4124	42	12	]	]	PUNCT
ejpam-4124	42	13	.	.	PUNCT
ejpam-4124	43	1	bs2	bs2	PROPN
ejpam-4124	43	2	methods	method	NOUN
ejpam-4124	43	3	give	give	VERB
ejpam-4124	43	4	more	more	ADV
ejpam-4124	43	5	accurate	accurate	ADJ
ejpam-4124	43	6	solution	solution	NOUN
ejpam-4124	43	7	[	[	X
ejpam-4124	43	8	18	18	NUM
ejpam-4124	43	9	]	]	PUNCT
ejpam-4124	43	10	.	.	PUNCT
ejpam-4124	44	1	the	the	DET
ejpam-4124	44	2	generalized	generalized	ADJ
ejpam-4124	44	3	nonlinear	nonlinear	PROPN
ejpam-4124	44	4	klien	klien	PROPN
ejpam-4124	44	5	-	-	PUNCT
ejpam-4124	44	6	gordon	gordon	PROPN
ejpam-4124	44	7	equation	equation	NOUN
ejpam-4124	44	8	and	and	CCONJ
ejpam-4124	44	9	nonlinear	nonlinear	ADJ
ejpam-4124	44	10	two	two	NUM
ejpam-4124	44	11	-	-	PUNCT
ejpam-4124	44	12	point	point	NOUN
ejpam-4124	44	13	bvps	bvps	NOUN
ejpam-4124	44	14	have	have	AUX
ejpam-4124	44	15	been	be	AUX
ejpam-4124	44	16	treated	treat	VERB
ejpam-4124	44	17	using	use	VERB
ejpam-4124	44	18	hcbsm	hcbsm	NOUN
ejpam-4124	44	19	and	and	CCONJ
ejpam-4124	44	20	the	the	DET
ejpam-4124	44	21	results	result	NOUN
ejpam-4124	44	22	are	be	AUX
ejpam-4124	44	23	promising	promise	VERB
ejpam-4124	44	24	[	[	X
ejpam-4124	44	25	19	19	NUM
ejpam-4124	44	26	,	,	PUNCT
ejpam-4124	44	27	25	25	NUM
ejpam-4124	44	28	]	]	PUNCT
ejpam-4124	44	29	.	.	PUNCT
ejpam-4124	45	1	therefore	therefore	ADV
ejpam-4124	45	2	,	,	PUNCT
ejpam-4124	45	3	hcbsm	hcbsm	NOUN
ejpam-4124	45	4	can	can	AUX
ejpam-4124	45	5	be	be	AUX
ejpam-4124	45	6	applied	apply	VERB
ejpam-4124	45	7	to	to	PART
ejpam-4124	45	8	solve	solve	VERB
ejpam-4124	45	9	equation	equation	NOUN
ejpam-4124	45	10	(	(	PUNCT
ejpam-4124	45	11	1	1	NUM
ejpam-4124	45	12	)	)	PUNCT
ejpam-4124	45	13	.	.	PUNCT
ejpam-4124	46	1	the	the	DET
ejpam-4124	46	2	hybrid	hybrid	ADJ
ejpam-4124	46	3	cubic	cubic	ADJ
ejpam-4124	46	4	b	b	NOUN
ejpam-4124	46	5	-	-	PUNCT
ejpam-4124	46	6	spline	spline	NOUN
ejpam-4124	46	7	also	also	ADV
ejpam-4124	46	8	contains	contain	VERB
ejpam-4124	46	9	a	a	DET
ejpam-4124	46	10	free	free	ADJ
ejpam-4124	46	11	parameter	parameter	NOUN
ejpam-4124	46	12	,	,	PUNCT
ejpam-4124	46	13	γ	γ	PROPN
ejpam-4124	46	14	.	.	PROPN
ejpam-4124	46	15	2	2	NUM
ejpam-4124	46	16	.	.	PUNCT
ejpam-4124	46	17	hybrid	hybrid	ADJ
ejpam-4124	46	18	cubic	cubic	ADJ
ejpam-4124	46	19	b	b	PROPN
ejpam-4124	46	20	-	-	PUNCT
ejpam-4124	46	21	spline	spline	NOUN
ejpam-4124	46	22	hcbs	hcbs	NOUN
ejpam-4124	46	23	is	be	AUX
ejpam-4124	46	24	a	a	DET
ejpam-4124	46	25	combination	combination	NOUN
ejpam-4124	46	26	between	between	ADP
ejpam-4124	46	27	cbs	cbs	PROPN
ejpam-4124	46	28	and	and	CCONJ
ejpam-4124	46	29	tcbs	tcb	NOUN
ejpam-4124	47	1	[	[	X
ejpam-4124	47	2	19	19	NUM
ejpam-4124	47	3	]	]	PUNCT
ejpam-4124	47	4	.	.	PUNCT
ejpam-4124	48	1	one	one	NUM
ejpam-4124	48	2	free	free	ADJ
ejpam-4124	48	3	parameter	parameter	NOUN
ejpam-4124	48	4	,	,	PUNCT
ejpam-4124	48	5	γ	γ	PROPN
ejpam-4124	48	6	,	,	PUNCT
ejpam-4124	48	7	is	be	AUX
ejpam-4124	48	8	introduced	introduce	VERB
ejpam-4124	48	9	within	within	ADP
ejpam-4124	48	10	the	the	DET
ejpam-4124	48	11	basis	basis	NOUN
ejpam-4124	48	12	function	function	NOUN
ejpam-4124	48	13	.	.	PUNCT
ejpam-4124	49	1	for	for	ADP
ejpam-4124	49	2	a	a	DET
ejpam-4124	49	3	finite	finite	ADJ
ejpam-4124	49	4	interval	interval	NOUN
ejpam-4124	49	5	[	[	X
ejpam-4124	49	6	0	0	NUM
ejpam-4124	49	7	,	,	PUNCT
ejpam-4124	49	8	1	1	NUM
ejpam-4124	49	9	]	]	PUNCT
ejpam-4124	49	10	,	,	PUNCT
ejpam-4124	49	11	suppose	suppose	VERB
ejpam-4124	49	12	that	that	SCONJ
ejpam-4124	49	13	{	{	PUNCT
ejpam-4124	49	14	xi}ni=0	xi}ni=0	NOUN
ejpam-4124	49	15	is	be	AUX
ejpam-4124	49	16	a	a	DET
ejpam-4124	49	17	uniform	uniform	ADJ
ejpam-4124	49	18	partition	partition	NOUN
ejpam-4124	49	19	of	of	ADP
ejpam-4124	49	20	a	a	DET
ejpam-4124	49	21	finite	finite	ADJ
ejpam-4124	49	22	interval	interval	NOUN
ejpam-4124	49	23	[	[	X
ejpam-4124	49	24	0	0	NUM
ejpam-4124	49	25	,	,	PUNCT
ejpam-4124	49	26	1	1	NUM
ejpam-4124	49	27	]	]	PUNCT
ejpam-4124	49	28	with	with	ADP
ejpam-4124	49	29	n	n	PRON
ejpam-4124	49	30	∈	∈	PROPN
ejpam-4124	49	31	z+	z+	NUM
ejpam-4124	49	32	such	such	ADJ
ejpam-4124	49	33	that	that	PRON
ejpam-4124	49	34	0	0	NUM
ejpam-4124	50	1	=	=	SYM
ejpam-4124	50	2	x0	x0	PROPN
ejpam-4124	50	3	<	<	X
ejpam-4124	51	1	x1	x1	X
ejpam-4124	51	2	<	<	X
ejpam-4124	51	3	...	...	PUNCT
ejpam-4124	52	1	<	<	X
ejpam-4124	52	2	xn	xn	PUNCT
ejpam-4124	53	1	=	=	SYM
ejpam-4124	53	2	1	1	X
ejpam-4124	53	3	.	.	X
ejpam-4124	54	1	we	we	PRON
ejpam-4124	54	2	can	can	AUX
ejpam-4124	54	3	extend	extend	VERB
ejpam-4124	54	4	the	the	DET
ejpam-4124	54	5	partition	partition	NOUN
ejpam-4124	54	6	using	use	VERB
ejpam-4124	54	7	h	h	NOUN
ejpam-4124	54	8	=	=	NOUN
ejpam-4124	54	9	1−	1−	NUM
ejpam-4124	54	10	0	0	NUM
ejpam-4124	55	1	n	n	CCONJ
ejpam-4124	55	2	,	,	PUNCT
ejpam-4124	55	3	x0	x0	PROPN
ejpam-4124	55	4	=	=	PUNCT
ejpam-4124	55	5	0	0	NUM
ejpam-4124	55	6	,	,	PUNCT
ejpam-4124	55	7	xi	xi	X
ejpam-4124	56	1	=	=	PUNCT
ejpam-4124	56	2	x0	x0	PROPN
ejpam-4124	57	1	+	+	CCONJ
ejpam-4124	57	2	ih	ih	X
ejpam-4124	57	3	,	,	PUNCT
ejpam-4124	57	4	i	i	PROPN
ejpam-4124	57	5	∈	∈	PROPN
ejpam-4124	57	6	z.	z.	PROPN
ejpam-4124	57	7	hybrid	hybrid	PROPN
ejpam-4124	57	8	cubic	cubic	PROPN
ejpam-4124	57	9	b	b	PROPN
ejpam-4124	57	10	-	-	PUNCT
ejpam-4124	57	11	spline	spline	NOUN
ejpam-4124	57	12	basis	basis	NOUN
ejpam-4124	57	13	function	function	NOUN
ejpam-4124	57	14	,	,	PUNCT
ejpam-4124	57	15	h4	h4	PROPN
ejpam-4124	57	16	i	i	PRON
ejpam-4124	57	17	(	(	PUNCT
ejpam-4124	57	18	x	x	NOUN
ejpam-4124	57	19	)	)	PUNCT
ejpam-4124	57	20	,	,	PUNCT
ejpam-4124	57	21	can	can	AUX
ejpam-4124	57	22	be	be	AUX
ejpam-4124	57	23	defined	define	VERB
ejpam-4124	57	24	as	as	ADP
ejpam-4124	57	25	:	:	PUNCT
ejpam-4124	57	26	h4	h4	PROPN
ejpam-4124	57	27	i	i	PRON
ejpam-4124	57	28	(	(	PUNCT
ejpam-4124	57	29	x	x	NOUN
ejpam-4124	57	30	)	)	PUNCT
ejpam-4124	57	31	=	=	SYM
ejpam-4124	57	32	γb4	γb4	NOUN
ejpam-4124	57	33	i	i	PRON
ejpam-4124	57	34	(	(	PUNCT
ejpam-4124	57	35	x	x	X
ejpam-4124	57	36	)	)	PUNCT
ejpam-4124	58	1	+	+	CCONJ
ejpam-4124	58	2	(	(	PUNCT
ejpam-4124	58	3	1−	1−	NUM
ejpam-4124	58	4	γ)t	γ)t	NOUN
ejpam-4124	58	5	4	4	NUM
ejpam-4124	58	6	i	i	NOUN
ejpam-4124	58	7	(	(	PUNCT
ejpam-4124	58	8	x	x	NOUN
ejpam-4124	58	9	)	)	PUNCT
ejpam-4124	58	10	,	,	PUNCT
ejpam-4124	58	11	γ	γ	PROPN
ejpam-4124	58	12	∈	∈	PROPN
ejpam-4124	58	13	r.	r.	PROPN
ejpam-4124	58	14	(	(	PUNCT
ejpam-4124	58	15	2	2	NUM
ejpam-4124	58	16	)	)	PUNCT
ejpam-4124	58	17	where	where	SCONJ
ejpam-4124	58	18	b4	b4	NOUN
ejpam-4124	58	19	i	i	PRON
ejpam-4124	58	20	(	(	PUNCT
ejpam-4124	58	21	x	x	NOUN
ejpam-4124	58	22	)	)	PUNCT
ejpam-4124	58	23	and	and	CCONJ
ejpam-4124	58	24	t	t	PROPN
ejpam-4124	58	25	4	4	NUM
ejpam-4124	58	26	i	i	NOUN
ejpam-4124	58	27	(	(	PUNCT
ejpam-4124	58	28	x	x	X
ejpam-4124	58	29	)	)	PUNCT
ejpam-4124	58	30	is	be	AUX
ejpam-4124	58	31	a	a	DET
ejpam-4124	58	32	basis	basis	NOUN
ejpam-4124	58	33	functions	function	NOUN
ejpam-4124	58	34	of	of	ADP
ejpam-4124	58	35	cubic	cubic	ADJ
ejpam-4124	58	36	b	b	PROPN
ejpam-4124	58	37	-	-	PUNCT
ejpam-4124	58	38	spline	spline	NOUN
ejpam-4124	58	39	and	and	CCONJ
ejpam-4124	58	40	trigonometric	trigonometric	ADJ
ejpam-4124	58	41	cubic	cubic	ADJ
ejpam-4124	58	42	b	b	PROPN
ejpam-4124	58	43	-	-	PUNCT
ejpam-4124	58	44	spline	spline	NOUN
ejpam-4124	58	45	,	,	PUNCT
ejpam-4124	58	46	respectively	respectively	ADV
ejpam-4124	58	47	[	[	X
ejpam-4124	58	48	15	15	NUM
ejpam-4124	58	49	,	,	PUNCT
ejpam-4124	58	50	19	19	NUM
ejpam-4124	58	51	,	,	PUNCT
ejpam-4124	58	52	20	20	NUM
ejpam-4124	58	53	,	,	PUNCT
ejpam-4124	58	54	22	22	NUM
ejpam-4124	58	55	]	]	PUNCT
ejpam-4124	58	56	,	,	PUNCT
ejpam-4124	58	57	as	as	SCONJ
ejpam-4124	58	58	shown	show	VERB
ejpam-4124	58	59	in	in	ADP
ejpam-4124	58	60	(	(	PUNCT
ejpam-4124	58	61	3)-(4	3)-(4	NUM
ejpam-4124	58	62	)	)	PUNCT
ejpam-4124	58	63	.	.	PUNCT
ejpam-4124	59	1	a.	a.	PROPN
ejpam-4124	59	2	s.	s.	PROPN
ejpam-4124	59	3	heilat	heilat	PROPN
ejpam-4124	59	4	et	et	PROPN
ejpam-4124	59	5	al	al	PROPN
ejpam-4124	59	6	.	.	PUNCT
ejpam-4124	59	7	/	/	SYM
ejpam-4124	59	8	eur	eur	PROPN
ejpam-4124	59	9	.	.	PUNCT
ejpam-4124	60	1	j.	j.	PROPN
ejpam-4124	60	2	pure	pure	PROPN
ejpam-4124	60	3	appl	appl	PROPN
ejpam-4124	60	4	.	.	PROPN
ejpam-4124	60	5	math	math	PROPN
ejpam-4124	60	6	,	,	PUNCT
ejpam-4124	60	7	14	14	NUM
ejpam-4124	60	8	(	(	PUNCT
ejpam-4124	60	9	4	4	NUM
ejpam-4124	60	10	)	)	PUNCT
ejpam-4124	60	11	(	(	PUNCT
ejpam-4124	60	12	2021	2021	NUM
ejpam-4124	60	13	)	)	PUNCT
ejpam-4124	60	14	,	,	PUNCT
ejpam-4124	60	15	1283	1283	NUM
ejpam-4124	60	16	-	-	SYM
ejpam-4124	60	17	1294	1294	NUM
ejpam-4124	60	18	1285	1285	NUM
ejpam-4124	60	19	b4	b4	NOUN
ejpam-4124	60	20	i	i	PRON
ejpam-4124	60	21	(	(	PUNCT
ejpam-4124	60	22	x	x	X
ejpam-4124	60	23	)	)	PUNCT
ejpam-4124	60	24	=	=	SYM
ejpam-4124	60	25	1	1	NUM
ejpam-4124	60	26	24h4	24h4	NUM
ejpam-4124	60	27			NOUN
ejpam-4124	60	28	(	(	PUNCT
ejpam-4124	60	29	x−	x−	PROPN
ejpam-4124	60	30	xi	xi	PROPN
ejpam-4124	60	31	)	)	PUNCT
ejpam-4124	60	32	3	3	NUM
ejpam-4124	60	33	,	,	PUNCT
ejpam-4124	60	34	x	x	SYM
ejpam-4124	60	35	∈	∈	PROPN
ejpam-4124	61	1	[	[	X
ejpam-4124	61	2	xi	xi	PROPN
ejpam-4124	61	3	,	,	PUNCT
ejpam-4124	61	4	xi+1	xi+1	PROPN
ejpam-4124	61	5	]	]	PUNCT
ejpam-4124	61	6	,	,	PUNCT
ejpam-4124	61	7	h3	h3	NOUN
ejpam-4124	61	8	+	+	CCONJ
ejpam-4124	61	9	3h2(x−	3h2(x−	NUM
ejpam-4124	61	10	xi+1	xi+1	NUM
ejpam-4124	61	11	)	)	PUNCT
ejpam-4124	62	1	+	+	NUM
ejpam-4124	62	2	3h(x−	3h(x−	NUM
ejpam-4124	62	3	xi+1	xi+1	NUM
ejpam-4124	62	4	)	)	PUNCT
ejpam-4124	62	5	2	2	NUM
ejpam-4124	62	6	−	−	PROPN
ejpam-4124	62	7	3(x−	3(x−	NUM
ejpam-4124	62	8	xi+1	xi+1	NUM
ejpam-4124	62	9	)	)	PUNCT
ejpam-4124	62	10	3	3	NUM
ejpam-4124	62	11	,	,	PUNCT
ejpam-4124	62	12	x	x	SYM
ejpam-4124	62	13	∈	∈	PROPN
ejpam-4124	62	14	[	[	X
ejpam-4124	62	15	xi+1	xi+1	NOUN
ejpam-4124	62	16	,	,	PUNCT
ejpam-4124	62	17	xi+2	xi+2	NUM
ejpam-4124	62	18	]	]	PUNCT
ejpam-4124	62	19	,	,	PUNCT
ejpam-4124	62	20	h3	h3	NOUN
ejpam-4124	62	21	+	+	CCONJ
ejpam-4124	62	22	3h2(xi+3	3h2(xi+3	NUM
ejpam-4124	62	23	−	−	NOUN
ejpam-4124	62	24	x	x	NOUN
ejpam-4124	62	25	)	)	PUNCT
ejpam-4124	63	1	+	+	NUM
ejpam-4124	63	2	3h(xi+3	3h(xi+3	NUM
ejpam-4124	63	3	−	−	NOUN
ejpam-4124	63	4	x)2	x)2	VERB
ejpam-4124	63	5	−	−	PROPN
ejpam-4124	64	1	3(xi+3	3(xi+3	PRON
ejpam-4124	65	1	−	−	PROPN
ejpam-4124	65	2	x)3	x)3	PROPN
ejpam-4124	65	3	,	,	PUNCT
ejpam-4124	65	4	x	x	SYM
ejpam-4124	65	5	∈	∈	PROPN
ejpam-4124	66	1	[	[	X
ejpam-4124	66	2	xi+2	xi+2	X
ejpam-4124	66	3	,	,	PUNCT
ejpam-4124	66	4	xi+3	xi+3	PROPN
ejpam-4124	66	5	]	]	PUNCT
ejpam-4124	66	6	,	,	PUNCT
ejpam-4124	66	7	(	(	PUNCT
ejpam-4124	66	8	xi+4	xi+4	PROPN
ejpam-4124	66	9	−	−	PROPN
ejpam-4124	66	10	x)3	x)3	PROPN
ejpam-4124	66	11	,	,	PUNCT
ejpam-4124	66	12	x	x	SYM
ejpam-4124	66	13	∈	∈	PROPN
ejpam-4124	67	1	[	[	X
ejpam-4124	67	2	xi+3	xi+3	X
ejpam-4124	67	3	,	,	PUNCT
ejpam-4124	67	4	xi+4	xi+4	PROPN
ejpam-4124	67	5	]	]	PUNCT
ejpam-4124	67	6	.	.	PUNCT
ejpam-4124	68	1	(	(	PUNCT
ejpam-4124	68	2	3	3	X
ejpam-4124	68	3	)	)	PUNCT
ejpam-4124	68	4	t	t	NOUN
ejpam-4124	68	5	4	4	NUM
ejpam-4124	68	6	i	i	NOUN
ejpam-4124	68	7	(	(	PUNCT
ejpam-4124	68	8	x	x	NOUN
ejpam-4124	68	9	)	)	PUNCT
ejpam-4124	68	10	=	=	SYM
ejpam-4124	68	11	1	1	NUM
ejpam-4124	68	12	κ	κ	X
ejpam-4124	68	13			NOUN
ejpam-4124	68	14	p3(xi	p3(xi	PROPN
ejpam-4124	68	15	)	)	PUNCT
ejpam-4124	68	16	,	,	PUNCT
ejpam-4124	68	17	x	x	PUNCT
ejpam-4124	68	18	∈	∈	PROPN
ejpam-4124	69	1	[	[	X
ejpam-4124	69	2	xi	xi	PROPN
ejpam-4124	69	3	,	,	PUNCT
ejpam-4124	69	4	xi+1	xi+1	PROPN
ejpam-4124	69	5	]	]	PUNCT
ejpam-4124	69	6	,	,	PUNCT
ejpam-4124	69	7	p(xi)[p(xi)q(xi+2	p(xi)[p(xi)q(xi+2	PROPN
ejpam-4124	69	8	)	)	PUNCT
ejpam-4124	69	9	+	+	PUNCT
ejpam-4124	69	10	p(xi+1)q(xi+3	p(xi+1)q(xi+3	NOUN
ejpam-4124	69	11	)	)	PUNCT
ejpam-4124	69	12	]	]	PUNCT
ejpam-4124	70	1	+	+	CCONJ
ejpam-4124	71	1	p2(xi+1)q(xi+4	p2(xi+1)q(xi+4	NOUN
ejpam-4124	71	2	)	)	PUNCT
ejpam-4124	71	3	,	,	PUNCT
ejpam-4124	71	4	x	x	PUNCT
ejpam-4124	71	5	∈	∈	PROPN
ejpam-4124	72	1	[	[	X
ejpam-4124	72	2	xi+1	xi+1	NOUN
ejpam-4124	72	3	,	,	PUNCT
ejpam-4124	72	4	xi+2	xi+2	NUM
ejpam-4124	72	5	]	]	PUNCT
ejpam-4124	72	6	,	,	PUNCT
ejpam-4124	72	7	q(xi+4)[p(xi+1)q(xi+3	q(xi+4)[p(xi+1)q(xi+3	NOUN
ejpam-4124	72	8	)	)	PUNCT
ejpam-4124	72	9	+	+	CCONJ
ejpam-4124	72	10	p(xi+2)q(xi+4	p(xi+2)q(xi+4	NOUN
ejpam-4124	72	11	)	)	PUNCT
ejpam-4124	72	12	]	]	PUNCT
ejpam-4124	73	1	+	+	CCONJ
ejpam-4124	73	2	p(xi)q	p(xi)q	ADP
ejpam-4124	73	3	2(xi+3	2(xi+3	NOUN
ejpam-4124	73	4	)	)	PUNCT
ejpam-4124	73	5	,	,	PUNCT
ejpam-4124	73	6	x	x	PUNCT
ejpam-4124	73	7	∈	∈	PROPN
ejpam-4124	74	1	[	[	X
ejpam-4124	74	2	xi+2	xi+2	X
ejpam-4124	74	3	,	,	PUNCT
ejpam-4124	74	4	xi+3	xi+3	PROPN
ejpam-4124	74	5	]	]	PUNCT
ejpam-4124	74	6	,	,	PUNCT
ejpam-4124	74	7	q3(xi+4	q3(xi+4	NOUN
ejpam-4124	74	8	)	)	PUNCT
ejpam-4124	74	9	,	,	PUNCT
ejpam-4124	74	10	x	x	PUNCT
ejpam-4124	74	11	∈	∈	PROPN
ejpam-4124	75	1	[	[	X
ejpam-4124	75	2	xi+3	xi+3	X
ejpam-4124	75	3	,	,	PUNCT
ejpam-4124	75	4	xi+4	xi+4	PROPN
ejpam-4124	75	5	]	]	PUNCT
ejpam-4124	75	6	,	,	PUNCT
ejpam-4124	75	7	(	(	PUNCT
ejpam-4124	75	8	4	4	X
ejpam-4124	75	9	)	)	PUNCT
ejpam-4124	75	10	p(xi	p(xi	ADJ
ejpam-4124	75	11	)	)	PUNCT
ejpam-4124	75	12	=	=	SYM
ejpam-4124	75	13	sin	sin	NOUN
ejpam-4124	75	14	(	(	PUNCT
ejpam-4124	75	15	x−	x−	PROPN
ejpam-4124	75	16	xi	xi	PROPN
ejpam-4124	75	17	2	2	NUM
ejpam-4124	75	18	)	)	PUNCT
ejpam-4124	75	19	,	,	PUNCT
ejpam-4124	75	20	q(xi	q(xi	NUM
ejpam-4124	75	21	)	)	PUNCT
ejpam-4124	75	22	=	=	SYM
ejpam-4124	75	23	sin	sin	NOUN
ejpam-4124	75	24	(	(	PUNCT
ejpam-4124	75	25	xi	xi	ADP
ejpam-4124	75	26	−	−	PROPN
ejpam-4124	75	27	x	x	SYM
ejpam-4124	75	28	2	2	NUM
ejpam-4124	75	29	)	)	PUNCT
ejpam-4124	75	30	,	,	PUNCT
ejpam-4124	75	31	κ	κ	NOUN
ejpam-4124	75	32	=	=	VERB
ejpam-4124	75	33	sin	sin	PROPN
ejpam-4124	75	34	(	(	PUNCT
ejpam-4124	75	35	h	h	NOUN
ejpam-4124	75	36	2	2	X
ejpam-4124	75	37	)	)	PUNCT
ejpam-4124	75	38	sin(h	sin(h	PROPN
ejpam-4124	75	39	)	)	PUNCT
ejpam-4124	75	40	sin	sin	NOUN
ejpam-4124	75	41	(	(	PUNCT
ejpam-4124	75	42	3h	3h	NUM
ejpam-4124	75	43	2	2	NUM
ejpam-4124	75	44	)	)	PUNCT
ejpam-4124	75	45	.	.	PUNCT
ejpam-4124	76	1	if	if	SCONJ
ejpam-4124	76	2	γ	γ	X
ejpam-4124	76	3	=	=	SYM
ejpam-4124	76	4	0	0	PROPN
ejpam-4124	76	5	,	,	PUNCT
ejpam-4124	76	6	this	this	DET
ejpam-4124	76	7	basis	basis	NOUN
ejpam-4124	76	8	function	function	NOUN
ejpam-4124	76	9	is	be	AUX
ejpam-4124	76	10	equal	equal	ADJ
ejpam-4124	76	11	to	to	ADP
ejpam-4124	76	12	cubic	cubic	ADJ
ejpam-4124	76	13	trigonometric	trigonometric	ADJ
ejpam-4124	76	14	b	b	X
ejpam-4124	76	15	-	-	PUNCT
ejpam-4124	76	16	spline	spline	NOUN
ejpam-4124	76	17	basis	basis	NOUN
ejpam-4124	76	18	function	function	NOUN
ejpam-4124	76	19	and	and	CCONJ
ejpam-4124	76	20	if	if	SCONJ
ejpam-4124	76	21	γ	γ	X
ejpam-4124	76	22	=	=	SYM
ejpam-4124	76	23	1	1	NUM
ejpam-4124	76	24	,	,	PUNCT
ejpam-4124	76	25	the	the	DET
ejpam-4124	76	26	basis	basis	NOUN
ejpam-4124	76	27	function	function	NOUN
ejpam-4124	76	28	becomes	become	VERB
ejpam-4124	76	29	b	b	NOUN
ejpam-4124	76	30	-	-	PUNCT
ejpam-4124	76	31	spline	spline	NOUN
ejpam-4124	76	32	basis	basis	NOUN
ejpam-4124	76	33	function	function	NOUN
ejpam-4124	76	34	.	.	PUNCT
ejpam-4124	77	1	h4	h4	PROPN
ejpam-4124	77	2	i	i	PRON
ejpam-4124	77	3	(	(	PUNCT
ejpam-4124	77	4	x	x	X
ejpam-4124	77	5	)	)	PUNCT
ejpam-4124	77	6	is	be	AUX
ejpam-4124	77	7	a	a	DET
ejpam-4124	77	8	piecewise	piecewise	NOUN
ejpam-4124	77	9	function	function	NOUN
ejpam-4124	77	10	of	of	ADP
ejpam-4124	77	11	degree	degree	NOUN
ejpam-4124	77	12	3	3	NUM
ejpam-4124	77	13	.	.	PUNCT
ejpam-4124	78	1	the	the	DET
ejpam-4124	78	2	values	value	NOUN
ejpam-4124	78	3	of	of	ADP
ejpam-4124	78	4	hi	hi	INTJ
ejpam-4124	78	5	and	and	CCONJ
ejpam-4124	78	6	its	its	PRON
ejpam-4124	78	7	derivatives	derivative	NOUN
ejpam-4124	78	8	h	h	NOUN
ejpam-4124	79	1	′	′	NUM
ejpam-4124	80	1	i	i	PRON
ejpam-4124	80	2	,	,	PUNCT
ejpam-4124	80	3	h	h	NOUN
ejpam-4124	81	1	′′	′′	PROPN
ejpam-4124	81	2	i	i	PRON
ejpam-4124	81	3	at	at	ADP
ejpam-4124	81	4	the	the	DET
ejpam-4124	81	5	nodal	nodal	NOUN
ejpam-4124	81	6	points	point	NOUN
ejpam-4124	81	7	are	be	AUX
ejpam-4124	81	8	tabulated	tabulate	VERB
ejpam-4124	81	9	in	in	ADP
ejpam-4124	81	10	table	table	NOUN
ejpam-4124	81	11	1	1	NUM
ejpam-4124	81	12	,	,	PUNCT
ejpam-4124	81	13	where	where	SCONJ
ejpam-4124	81	14	a1	a1	NOUN
ejpam-4124	81	15	=	=	SYM
ejpam-4124	81	16	γ	γ	X
ejpam-4124	81	17	6	6	NUM
ejpam-4124	81	18	+	+	CCONJ
ejpam-4124	81	19	(	(	PUNCT
ejpam-4124	81	20	1−	1−	NUM
ejpam-4124	81	21	γ	γ	PROPN
ejpam-4124	81	22	)	)	PUNCT
ejpam-4124	81	23	sin2(h2	sin2(h2	PROPN
ejpam-4124	81	24	)	)	PUNCT
ejpam-4124	81	25	sin(h	sin(h	PROPN
ejpam-4124	81	26	)	)	PUNCT
ejpam-4124	81	27	sin(3h2	sin(3h2	PROPN
ejpam-4124	81	28	)	)	PUNCT
ejpam-4124	81	29	,	,	PUNCT
ejpam-4124	81	30	a2	a2	NOUN
ejpam-4124	81	31	=	=	SYM
ejpam-4124	81	32	4γ	4γ	NOUN
ejpam-4124	81	33	6	6	NUM
ejpam-4124	81	34	+	+	CCONJ
ejpam-4124	81	35	2(1−	2(1−	NUM
ejpam-4124	81	36	γ	γ	X
ejpam-4124	81	37	)	)	PUNCT
ejpam-4124	81	38	sin(h2	sin(h2	NOUN
ejpam-4124	81	39	)	)	PUNCT
ejpam-4124	81	40	sin(3h2	sin(3h2	PROPN
ejpam-4124	81	41	)	)	PUNCT
ejpam-4124	81	42	,	,	PUNCT
ejpam-4124	81	43	a3	a3	NOUN
ejpam-4124	81	44	=	=	SYM
ejpam-4124	81	45	γ	γ	X
ejpam-4124	81	46	2h	2h	NUM
ejpam-4124	81	47	+	+	CCONJ
ejpam-4124	81	48	3(1−	3(1−	NUM
ejpam-4124	81	49	γ	γ	NOUN
ejpam-4124	81	50	)	)	PUNCT
ejpam-4124	81	51	4	4	NUM
ejpam-4124	81	52	sin(3h2	sin(3h2	PROPN
ejpam-4124	81	53	)	)	PUNCT
ejpam-4124	81	54	,	,	PUNCT
ejpam-4124	81	55	a4	a4	NOUN
ejpam-4124	81	56	=	=	SYM
ejpam-4124	81	57	−γ	−γ	ADP
ejpam-4124	81	58	2h	2h	NUM
ejpam-4124	81	59	−	−	PROPN
ejpam-4124	81	60	3(1−	3(1−	NUM
ejpam-4124	81	61	γ	γ	NOUN
ejpam-4124	81	62	)	)	PUNCT
ejpam-4124	81	63	4	4	NUM
ejpam-4124	81	64	sin(3h2	sin(3h2	PROPN
ejpam-4124	81	65	)	)	PUNCT
ejpam-4124	81	66	,	,	PUNCT
ejpam-4124	81	67	a5	a5	PROPN
ejpam-4124	81	68	=	=	PUNCT
ejpam-4124	81	69	γ	γ	X
ejpam-4124	81	70	h2	h2	NOUN
ejpam-4124	82	1	+	+	CCONJ
ejpam-4124	82	2	3(1−	3(1−	NUM
ejpam-4124	82	3	γ)[sin(h2	γ)[sin(h2	X
ejpam-4124	82	4	)	)	PUNCT
ejpam-4124	82	5	−	−	PROPN
ejpam-4124	82	6	2	2	NUM
ejpam-4124	82	7	sin3(h2	sin3(h2	PROPN
ejpam-4124	82	8	)	)	PUNCT
ejpam-4124	83	1	+	+	CCONJ
ejpam-4124	83	2	sin(3h2	sin(3h2	PROPN
ejpam-4124	83	3	)	)	PUNCT
ejpam-4124	83	4	]	]	PUNCT
ejpam-4124	83	5	8	8	NUM
ejpam-4124	83	6	sin(h2	sin(h2	NOUN
ejpam-4124	83	7	)	)	PUNCT
ejpam-4124	83	8	sin(h	sin(h	PROPN
ejpam-4124	83	9	)	)	PUNCT
ejpam-4124	83	10	sin	sin	NOUN
ejpam-4124	83	11	(	(	PUNCT
ejpam-4124	83	12	3h	3h	NUM
ejpam-4124	83	13	2	2	NUM
ejpam-4124	83	14	)	)	PUNCT
ejpam-4124	83	15	,	,	PUNCT
ejpam-4124	83	16	a6	a6	NOUN
ejpam-4124	83	17	=	=	SYM
ejpam-4124	83	18	−2γ	−2γ	PUNCT
ejpam-4124	83	19	h2	h2	NOUN
ejpam-4124	83	20	−	−	NOUN
ejpam-4124	83	21	3(1−	3(1−	SYM
ejpam-4124	83	22	γ)[sin(2h	γ)[sin(2h	NOUN
ejpam-4124	83	23	)	)	PUNCT
ejpam-4124	83	24	+	+	CCONJ
ejpam-4124	83	25	2	2	NUM
ejpam-4124	83	26	sin2(h2	sin2(h2	NOUN
ejpam-4124	83	27	)	)	PUNCT
ejpam-4124	83	28	sin(h	sin(h	PROPN
ejpam-4124	83	29	)	)	PUNCT
ejpam-4124	83	30	]	]	PUNCT
ejpam-4124	83	31	4	4	NUM
ejpam-4124	83	32	sin(h2	sin(h2	NOUN
ejpam-4124	83	33	)	)	PUNCT
ejpam-4124	83	34	sin(h	sin(h	PROPN
ejpam-4124	83	35	)	)	PUNCT
ejpam-4124	83	36	sin	sin	NOUN
ejpam-4124	83	37	(	(	PUNCT
ejpam-4124	83	38	3h	3h	NUM
ejpam-4124	83	39	2	2	NUM
ejpam-4124	83	40	)	)	PUNCT
ejpam-4124	83	41	.	.	PUNCT
ejpam-4124	84	1	table	table	NOUN
ejpam-4124	84	2	1	1	NUM
ejpam-4124	84	3	:	:	PUNCT
ejpam-4124	84	4	coefficient	coefficient	NOUN
ejpam-4124	84	5	of	of	ADP
ejpam-4124	84	6	hi	hi	PROPN
ejpam-4124	84	7	,	,	PUNCT
ejpam-4124	84	8	h	h	NOUN
ejpam-4124	85	1	′	′	NUM
ejpam-4124	86	1	i	i	PRON
ejpam-4124	86	2	and	and	CCONJ
ejpam-4124	86	3	h	h	NOUN
ejpam-4124	87	1	′′	′′	NOUN
ejpam-4124	87	2	i	i	PRON
ejpam-4124	87	3	x	x	PROPN
ejpam-4124	87	4	xi−1	xi−1	PROPN
ejpam-4124	87	5	xi	xi	PROPN
ejpam-4124	87	6	xi+1	xi+1	PROPN
ejpam-4124	87	7	hi	hi	INTJ
ejpam-4124	87	8	a1	a1	PROPN
ejpam-4124	87	9	a2	a2	PROPN
ejpam-4124	87	10	a1	a1	NOUN
ejpam-4124	87	11	h	h	NOUN
ejpam-4124	87	12	′	′	NOUN
ejpam-4124	88	1	i	i	PRON
ejpam-4124	88	2	a3	a3	VERB
ejpam-4124	88	3	0	0	NUM
ejpam-4124	88	4	a4	a4	NOUN
ejpam-4124	88	5	h	h	NOUN
ejpam-4124	88	6	′′	′′	PROPN
ejpam-4124	88	7	i	i	PRON
ejpam-4124	88	8	a5	a5	PROPN
ejpam-4124	88	9	a6	a6	PROPN
ejpam-4124	88	10	a5	a5	PROPN
ejpam-4124	88	11	from	from	ADP
ejpam-4124	88	12	the	the	DET
ejpam-4124	88	13	basis	basis	NOUN
ejpam-4124	88	14	function	function	NOUN
ejpam-4124	88	15	,	,	PUNCT
ejpam-4124	88	16	an	an	DET
ejpam-4124	88	17	arbitrary	arbitrary	ADJ
ejpam-4124	88	18	spline	spline	NOUN
ejpam-4124	88	19	curve	curve	NOUN
ejpam-4124	88	20	can	can	AUX
ejpam-4124	88	21	be	be	AUX
ejpam-4124	88	22	generated	generate	VERB
ejpam-4124	88	23	by	by	ADP
ejpam-4124	88	24	the	the	DET
ejpam-4124	88	25	following	follow	VERB
ejpam-4124	88	26	formula	formula	NOUN
ejpam-4124	88	27	:	:	PUNCT
ejpam-4124	88	28	s(x	s(x	X
ejpam-4124	88	29	)	)	PUNCT
ejpam-4124	88	30	=	=	SYM
ejpam-4124	89	1	n−1∑	n−1∑	NUM
ejpam-4124	89	2	i=−3	i=−3	NOUN
ejpam-4124	89	3	cih	cih	NOUN
ejpam-4124	89	4	4	4	NUM
ejpam-4124	89	5	i	i	NOUN
ejpam-4124	89	6	(	(	PUNCT
ejpam-4124	89	7	x	x	NOUN
ejpam-4124	89	8	)	)	PUNCT
ejpam-4124	89	9	,	,	PUNCT
ejpam-4124	89	10	x	x	PUNCT
ejpam-4124	89	11	∈	∈	PROPN
ejpam-4124	89	12	[	[	X
ejpam-4124	89	13	x0	x0	PROPN
ejpam-4124	89	14	,	,	PUNCT
ejpam-4124	89	15	xn	xn	PROPN
ejpam-4124	89	16	]	]	PUNCT
ejpam-4124	89	17	,	,	PUNCT
ejpam-4124	89	18	ci	ci	PROPN
ejpam-4124	89	19	∈	∈	PROPN
ejpam-4124	89	20	r.	r.	PROPN
ejpam-4124	89	21	(	(	PUNCT
ejpam-4124	89	22	5	5	X
ejpam-4124	89	23	)	)	PUNCT
ejpam-4124	89	24	there	there	PRON
ejpam-4124	89	25	are	be	VERB
ejpam-4124	89	26	only	only	ADV
ejpam-4124	89	27	four	four	NUM
ejpam-4124	89	28	nonzero	nonzero	NOUN
ejpam-4124	89	29	basis	basis	NOUN
ejpam-4124	89	30	functions	function	NOUN
ejpam-4124	89	31	,	,	PUNCT
ejpam-4124	89	32	h4	h4	PROPN
ejpam-4124	89	33	i−3(x	i−3(x	PROPN
ejpam-4124	89	34	)	)	PUNCT
ejpam-4124	89	35	,	,	PUNCT
ejpam-4124	89	36	h	h	NOUN
ejpam-4124	89	37	4	4	NUM
ejpam-4124	89	38	i−2(x	i−2(x	PROPN
ejpam-4124	89	39	)	)	PUNCT
ejpam-4124	89	40	,	,	PUNCT
ejpam-4124	89	41	h	h	PROPN
ejpam-4124	89	42	4	4	NUM
ejpam-4124	89	43	i−1(x	i−1(x	NOUN
ejpam-4124	89	44	)	)	PUNCT
ejpam-4124	89	45	,	,	PUNCT
ejpam-4124	89	46	and	and	CCONJ
ejpam-4124	89	47	h4	h4	PROPN
ejpam-4124	89	48	i	i	PRON
ejpam-4124	89	49	(	(	PUNCT
ejpam-4124	89	50	x	x	X
ejpam-4124	89	51	)	)	PUNCT
ejpam-4124	89	52	on	on	ADP
ejpam-4124	89	53	the	the	DET
ejpam-4124	89	54	sub	sub	NOUN
ejpam-4124	89	55	-	-	NOUN
ejpam-4124	89	56	interval	interval	NOUN
ejpam-4124	89	57	[	[	X
ejpam-4124	89	58	xi	xi	X
ejpam-4124	89	59	,	,	PUNCT
ejpam-4124	89	60	xi+1	xi+1	NOUN
ejpam-4124	89	61	]	]	PUNCT
ejpam-4124	89	62	.	.	PUNCT
ejpam-4124	90	1	this	this	PRON
ejpam-4124	90	2	is	be	AUX
ejpam-4124	90	3	due	due	ADJ
ejpam-4124	90	4	to	to	ADP
ejpam-4124	90	5	the	the	DET
ejpam-4124	90	6	local	local	ADJ
ejpam-4124	90	7	support	support	NOUN
ejpam-4124	90	8	property	property	NOUN
ejpam-4124	90	9	of	of	ADP
ejpam-4124	90	10	the	the	DET
ejpam-4124	90	11	b	b	NOUN
ejpam-4124	90	12	-	-	PUNCT
ejpam-4124	90	13	spline	spline	NOUN
ejpam-4124	90	14	basis	basis	NOUN
ejpam-4124	90	15	.	.	PUNCT
ejpam-4124	91	1	at	at	ADP
ejpam-4124	91	2	xi	xi	PROPN
ejpam-4124	91	3	,	,	PUNCT
ejpam-4124	91	4	there	there	PRON
ejpam-4124	91	5	are	be	VERB
ejpam-4124	91	6	only	only	ADV
ejpam-4124	91	7	three	three	NUM
ejpam-4124	91	8	nonzero	nonzero	NOUN
ejpam-4124	91	9	basis	basis	NOUN
ejpam-4124	91	10	functions	function	NOUN
ejpam-4124	91	11	;	;	PUNCT
ejpam-4124	91	12	namely	namely	ADV
ejpam-4124	91	13	,	,	PUNCT
ejpam-4124	91	14	h4	h4	PROPN
ejpam-4124	91	15	i−3(xi	i−3(xi	PROPN
ejpam-4124	91	16	)	)	PUNCT
ejpam-4124	91	17	,	,	PUNCT
ejpam-4124	91	18	h	h	NOUN
ejpam-4124	91	19	4	4	NUM
ejpam-4124	91	20	i−2(xi	i−2(xi	ADJ
ejpam-4124	91	21	)	)	PUNCT
ejpam-4124	91	22	,	,	PUNCT
ejpam-4124	91	23	and	and	CCONJ
ejpam-4124	91	24	h4	h4	PROPN
ejpam-4124	91	25	i−1(xi	i−1(xi	PROPN
ejpam-4124	91	26	)	)	PUNCT
ejpam-4124	92	1	[	[	X
ejpam-4124	92	2	19	19	NUM
ejpam-4124	92	3	]	]	PUNCT
ejpam-4124	92	4	.	.	PUNCT
ejpam-4124	93	1	so	so	ADV
ejpam-4124	93	2	,	,	PUNCT
ejpam-4124	93	3	by	by	ADP
ejpam-4124	93	4	finding	find	VERB
ejpam-4124	93	5	the	the	DET
ejpam-4124	93	6	first	first	ADJ
ejpam-4124	93	7	and	and	CCONJ
ejpam-4124	93	8	second	second	ADJ
ejpam-4124	93	9	derivatives	derivative	NOUN
ejpam-4124	93	10	of	of	ADP
ejpam-4124	93	11	s(x	s(x	PROPN
ejpam-4124	93	12	)	)	PUNCT
ejpam-4124	93	13	and	and	CCONJ
ejpam-4124	93	14	substituting	substitute	VERB
ejpam-4124	93	15	xi	xi	PROPN
ejpam-4124	93	16	,	,	PUNCT
ejpam-4124	93	17	we	we	PRON
ejpam-4124	93	18	obtain	obtain	VERB
ejpam-4124	93	19	s(xi	s(xi	NUM
ejpam-4124	93	20	)	)	PUNCT
ejpam-4124	94	1	=	=	PUNCT
ejpam-4124	94	2	a1ci−3	a1ci−3	ADP
ejpam-4124	94	3	+	+	NOUN
ejpam-4124	94	4	a2ci−2	a2ci−2	PRON
ejpam-4124	94	5	+	+	NOUN
ejpam-4124	94	6	a1ci−1	a1ci−1	PROPN
ejpam-4124	94	7	,	,	PUNCT
ejpam-4124	94	8	(	(	PUNCT
ejpam-4124	94	9	6	6	NUM
ejpam-4124	94	10	)	)	PUNCT
ejpam-4124	94	11	a.	a.	NOUN
ejpam-4124	94	12	s.	s.	PROPN
ejpam-4124	94	13	heilat	heilat	PROPN
ejpam-4124	94	14	et	et	PROPN
ejpam-4124	94	15	al	al	PROPN
ejpam-4124	94	16	.	.	PUNCT
ejpam-4124	94	17	/	/	SYM
ejpam-4124	94	18	eur	eur	PROPN
ejpam-4124	94	19	.	.	PUNCT
ejpam-4124	95	1	j.	j.	PROPN
ejpam-4124	95	2	pure	pure	PROPN
ejpam-4124	95	3	appl	appl	PROPN
ejpam-4124	95	4	.	.	PROPN
ejpam-4124	95	5	math	math	PROPN
ejpam-4124	95	6	,	,	PUNCT
ejpam-4124	95	7	14	14	NUM
ejpam-4124	95	8	(	(	PUNCT
ejpam-4124	95	9	4	4	NUM
ejpam-4124	95	10	)	)	PUNCT
ejpam-4124	95	11	(	(	PUNCT
ejpam-4124	95	12	2021	2021	NUM
ejpam-4124	95	13	)	)	PUNCT
ejpam-4124	95	14	,	,	PUNCT
ejpam-4124	95	15	1283	1283	NUM
ejpam-4124	95	16	-	-	SYM
ejpam-4124	95	17	1294	1294	NUM
ejpam-4124	95	18	1286	1286	NUM
ejpam-4124	95	19	s	s	PART
ejpam-4124	95	20	′	′	NOUN
ejpam-4124	95	21	(	(	PUNCT
ejpam-4124	95	22	xi	xi	PROPN
ejpam-4124	95	23	)	)	PUNCT
ejpam-4124	95	24	=	=	SYM
ejpam-4124	95	25	a3ci−3	a3ci−3	PROPN
ejpam-4124	95	26	−a3ci−1	−a3ci−1	NOUN
ejpam-4124	95	27	,	,	PUNCT
ejpam-4124	95	28	(	(	PUNCT
ejpam-4124	95	29	7	7	X
ejpam-4124	95	30	)	)	PUNCT
ejpam-4124	95	31	s	s	VERB
ejpam-4124	96	1	′′	′′	PROPN
ejpam-4124	96	2	(	(	PUNCT
ejpam-4124	96	3	xi	xi	PROPN
ejpam-4124	96	4	)	)	PUNCT
ejpam-4124	96	5	=	=	PUNCT
ejpam-4124	96	6	a4ci−3	a4ci−3	ADV
ejpam-4124	96	7	+	+	NOUN
ejpam-4124	96	8	a5ci−2	a5ci−2	X
ejpam-4124	96	9	+	+	ADJ
ejpam-4124	96	10	a4ci−1	a4ci−1	NUM
ejpam-4124	96	11	,	,	PUNCT
ejpam-4124	96	12	(	(	PUNCT
ejpam-4124	96	13	8)	8)	NUM
ejpam-4124	96	14	where	where	SCONJ
ejpam-4124	96	15	ai	ai	VERB
ejpam-4124	96	16	=	=	PUNCT
ejpam-4124	96	17	γσi	γσi	NOUN
ejpam-4124	96	18	+	+	CCONJ
ejpam-4124	96	19	(	(	PUNCT
ejpam-4124	96	20	1−	1−	NUM
ejpam-4124	96	21	γ)ηi	γ)ηi	PROPN
ejpam-4124	96	22	,	,	PUNCT
ejpam-4124	96	23	for	for	ADP
ejpam-4124	96	24	i	i	PROPN
ejpam-4124	96	25	=	=	SYM
ejpam-4124	96	26	1	1	NUM
ejpam-4124	96	27	,	,	PUNCT
ejpam-4124	96	28	2	2	NUM
ejpam-4124	96	29	,	,	PUNCT
ejpam-4124	96	30	...	...	PUNCT
ejpam-4124	96	31	,	,	PUNCT
ejpam-4124	96	32	5	5	NUM
ejpam-4124	96	33	,	,	PUNCT
ejpam-4124	96	34	(	(	PUNCT
ejpam-4124	96	35	9	9	NUM
ejpam-4124	96	36	)	)	PUNCT
ejpam-4124	96	37	with	with	ADP
ejpam-4124	96	38	σ1	σ1	PROPN
ejpam-4124	96	39	=	=	SYM
ejpam-4124	96	40	1	1	NUM
ejpam-4124	96	41	6	6	NUM
ejpam-4124	96	42	,	,	PUNCT
ejpam-4124	96	43	σ2	σ2	NOUN
ejpam-4124	96	44	=	=	NOUN
ejpam-4124	96	45	4	4	NUM
ejpam-4124	96	46	6	6	NUM
ejpam-4124	96	47	,	,	PUNCT
ejpam-4124	96	48	σ3	σ3	NOUN
ejpam-4124	96	49	=	=	SYM
ejpam-4124	96	50	−1	−1	NOUN
ejpam-4124	96	51	2h	2h	NUM
ejpam-4124	96	52	,	,	PUNCT
ejpam-4124	96	53	σ4	σ4	NOUN
ejpam-4124	96	54	=	=	SYM
ejpam-4124	96	55	1	1	NUM
ejpam-4124	96	56	h2	h2	NOUN
ejpam-4124	96	57	,	,	PUNCT
ejpam-4124	96	58	σ5	σ5	PROPN
ejpam-4124	96	59	=	=	SYM
ejpam-4124	96	60	−2	−2	PROPN
ejpam-4124	96	61	h2	h2	NOUN
ejpam-4124	96	62	,	,	PUNCT
ejpam-4124	96	63	η1	η1	NOUN
ejpam-4124	96	64	=	=	SYM
ejpam-4124	96	65	κ21	κ21	PROPN
ejpam-4124	96	66	κ2κ3	κ2κ3	X
ejpam-4124	96	67	,	,	PUNCT
ejpam-4124	96	68	η2	η2	ADJ
ejpam-4124	96	69	=	=	SYM
ejpam-4124	96	70	2κ1	2κ1	NUM
ejpam-4124	96	71	κ3	κ3	PROPN
ejpam-4124	96	72	,	,	PUNCT
ejpam-4124	96	73	η3	η3	PROPN
ejpam-4124	96	74	=	=	PUNCT
ejpam-4124	96	75	−3	−3	PROPN
ejpam-4124	96	76	4κ3	4κ3	NUM
ejpam-4124	96	77	,	,	PUNCT
ejpam-4124	96	78	η4	η4	VERB
ejpam-4124	96	79	=	=	SYM
ejpam-4124	96	80	3(κ1	3(κ1	NUM
ejpam-4124	96	81	−	−	NUM
ejpam-4124	96	82	2κ31	2κ31	PROPN
ejpam-4124	96	83	+	+	CCONJ
ejpam-4124	96	84	κ3	κ3	PROPN
ejpam-4124	96	85	)	)	PUNCT
ejpam-4124	96	86	8κ1κ2κ3	8κ1κ2κ3	NUM
ejpam-4124	96	87	,	,	PUNCT
ejpam-4124	96	88	η5	η5	PROPN
ejpam-4124	96	89	=	=	PUNCT
ejpam-4124	96	90	−3(κ4	−3(κ4	PROPN
ejpam-4124	96	91	+	+	NUM
ejpam-4124	96	92	2κ21κ2	2κ21κ2	NUM
ejpam-4124	96	93	)	)	PUNCT
ejpam-4124	96	94	4κ1κ2κ3	4κ1κ2κ3	NUM
ejpam-4124	96	95	,	,	PUNCT
ejpam-4124	96	96	(	(	PUNCT
ejpam-4124	96	97	10	10	NUM
ejpam-4124	96	98	)	)	PUNCT
ejpam-4124	96	99	and	and	CCONJ
ejpam-4124	96	100	κ1	κ1	NOUN
ejpam-4124	96	101	=	=	SYM
ejpam-4124	96	102	sin	sin	NOUN
ejpam-4124	96	103	(	(	PUNCT
ejpam-4124	96	104	h	h	NOUN
ejpam-4124	96	105	2	2	NUM
ejpam-4124	96	106	)	)	PUNCT
ejpam-4124	96	107	,	,	PUNCT
ejpam-4124	96	108	κ2	κ2	PROPN
ejpam-4124	96	109	=	=	SYM
ejpam-4124	96	110	sin(h	sin(h	PROPN
ejpam-4124	96	111	)	)	PUNCT
ejpam-4124	96	112	,	,	PUNCT
ejpam-4124	96	113	κ3	κ3	PROPN
ejpam-4124	96	114	=	=	PUNCT
ejpam-4124	96	115	sin	sin	PROPN
ejpam-4124	96	116	(	(	PUNCT
ejpam-4124	96	117	3h	3h	NUM
ejpam-4124	96	118	2	2	NUM
ejpam-4124	96	119	)	)	PUNCT
ejpam-4124	96	120	,	,	PUNCT
ejpam-4124	96	121	κ4	κ4	PROPN
ejpam-4124	96	122	=	=	PUNCT
ejpam-4124	96	123	sin(2h	sin(2h	ADJ
ejpam-4124	96	124	)	)	PUNCT
ejpam-4124	96	125	.	.	PUNCT
ejpam-4124	97	1	(	(	PUNCT
ejpam-4124	97	2	11	11	NUM
ejpam-4124	97	3	)	)	SYM
ejpam-4124	97	4	3	3	NUM
ejpam-4124	97	5	.	.	PUNCT
ejpam-4124	97	6	hybrid	hybrid	ADJ
ejpam-4124	97	7	cubic	cubic	ADJ
ejpam-4124	97	8	b	b	PROPN
ejpam-4124	97	9	-	-	PUNCT
ejpam-4124	97	10	spline	spline	NOUN
ejpam-4124	97	11	interpolation	interpolation	NOUN
ejpam-4124	97	12	method	method	NOUN
ejpam-4124	97	13	.	.	PUNCT
ejpam-4124	98	1	in	in	ADP
ejpam-4124	98	2	order	order	NOUN
ejpam-4124	98	3	to	to	PART
ejpam-4124	98	4	solve	solve	VERB
ejpam-4124	98	5	problem	problem	NOUN
ejpam-4124	98	6	(	(	PUNCT
ejpam-4124	98	7	1	1	NUM
ejpam-4124	98	8	)	)	PUNCT
ejpam-4124	98	9	,	,	PUNCT
ejpam-4124	98	10	suppose	suppose	VERB
ejpam-4124	98	11	that	that	SCONJ
ejpam-4124	98	12	the	the	DET
ejpam-4124	98	13	solution	solution	NOUN
ejpam-4124	98	14	is	be	AUX
ejpam-4124	98	15	s(x	s(x	NOUN
ejpam-4124	98	16	)	)	PUNCT
ejpam-4124	98	17	,	,	PUNCT
ejpam-4124	98	18	as	as	SCONJ
ejpam-4124	98	19	follows	follow	VERB
ejpam-4124	98	20	:	:	PUNCT
ejpam-4124	98	21	s	s	VERB
ejpam-4124	98	22	′′	′′	PROPN
ejpam-4124	98	23	(	(	PUNCT
ejpam-4124	98	24	x	x	X
ejpam-4124	98	25	)	)	PUNCT
ejpam-4124	99	1	+	+	VERB
ejpam-4124	99	2	m(x)s	m(x)s	X
ejpam-4124	99	3	′	′	NOUN
ejpam-4124	99	4	(	(	PUNCT
ejpam-4124	99	5	x	x	X
ejpam-4124	99	6	)	)	PUNCT
ejpam-4124	99	7	+	+	CCONJ
ejpam-4124	99	8	n(x)s(x	n(x)s(x	X
ejpam-4124	99	9	)	)	PUNCT
ejpam-4124	99	10	=	=	SYM
ejpam-4124	99	11	r(x	r(x	PROPN
ejpam-4124	99	12	)	)	PUNCT
ejpam-4124	99	13	,	,	PUNCT
ejpam-4124	99	14	x	x	PUNCT
ejpam-4124	99	15	∈	∈	PROPN
ejpam-4124	100	1	[	[	X
ejpam-4124	100	2	0	0	NUM
ejpam-4124	100	3	,	,	PUNCT
ejpam-4124	100	4	1	1	NUM
ejpam-4124	100	5	]	]	PUNCT
ejpam-4124	100	6	,	,	PUNCT
ejpam-4124	100	7	s(0	s(0	PROPN
ejpam-4124	100	8	)	)	PUNCT
ejpam-4124	100	9	=	=	SYM
ejpam-4124	100	10	β1	β1	PROPN
ejpam-4124	100	11	,	,	PUNCT
ejpam-4124	100	12	s(1	s(1	PROPN
ejpam-4124	100	13	)	)	PUNCT
ejpam-4124	100	14	=	=	SYM
ejpam-4124	101	1	β2	β2	VERB
ejpam-4124	101	2	.	.	PUNCT
ejpam-4124	102	1	(	(	PUNCT
ejpam-4124	102	2	12	12	NUM
ejpam-4124	102	3	)	)	PUNCT
ejpam-4124	102	4	substituting	substitute	VERB
ejpam-4124	102	5	xi	xi	NUM
ejpam-4124	102	6	in	in	ADP
ejpam-4124	102	7	(	(	PUNCT
ejpam-4124	102	8	12	12	NUM
ejpam-4124	102	9	)	)	PUNCT
ejpam-4124	102	10	,	,	PUNCT
ejpam-4124	102	11	we	we	PRON
ejpam-4124	102	12	have	have	VERB
ejpam-4124	102	13	s	s	VERB
ejpam-4124	102	14	′′	′′	PROPN
ejpam-4124	102	15	(	(	PUNCT
ejpam-4124	102	16	xi	xi	PROPN
ejpam-4124	102	17	)	)	PUNCT
ejpam-4124	103	1	+	+	NOUN
ejpam-4124	103	2	m(xi)s	m(xi)	NOUN
ejpam-4124	103	3	′	′	NUM
ejpam-4124	103	4	(	(	PUNCT
ejpam-4124	103	5	xi	xi	NOUN
ejpam-4124	103	6	)	)	PUNCT
ejpam-4124	103	7	+	+	NUM
ejpam-4124	103	8	n(xi)s(xi	n(xi)s(xi	X
ejpam-4124	103	9	)	)	PUNCT
ejpam-4124	104	1	=	=	SYM
ejpam-4124	104	2	r(xi	r(xi	PROPN
ejpam-4124	104	3	)	)	PUNCT
ejpam-4124	104	4	,	,	PUNCT
ejpam-4124	104	5	i	i	PRON
ejpam-4124	104	6	=	=	NOUN
ejpam-4124	104	7	0	0	NUM
ejpam-4124	104	8	,	,	PUNCT
ejpam-4124	104	9	1	1	NUM
ejpam-4124	104	10	,	,	PUNCT
ejpam-4124	104	11	...	...	PUNCT
ejpam-4124	104	12	,	,	PUNCT
ejpam-4124	104	13	n.	n.	NOUN
ejpam-4124	104	14	(	(	PUNCT
ejpam-4124	104	15	13	13	NUM
ejpam-4124	104	16	)	)	PUNCT
ejpam-4124	104	17	by	by	ADP
ejpam-4124	104	18	substituting	substitute	VERB
ejpam-4124	104	19	equations	equation	NOUN
ejpam-4124	104	20	(	(	PUNCT
ejpam-4124	104	21	6	6	NUM
ejpam-4124	104	22	)	)	PUNCT
ejpam-4124	104	23	to	to	ADP
ejpam-4124	104	24	(	(	PUNCT
ejpam-4124	104	25	8)	8)	NUM
ejpam-4124	104	26	into	into	ADP
ejpam-4124	104	27	(	(	PUNCT
ejpam-4124	104	28	1	1	NUM
ejpam-4124	104	29	)	)	PUNCT
ejpam-4124	104	30	,	,	PUNCT
ejpam-4124	104	31	we	we	PRON
ejpam-4124	104	32	have	have	AUX
ejpam-4124	104	33	{	{	PUNCT
ejpam-4124	104	34	ci−3[γσ4	ci−3[γσ4	VERB
ejpam-4124	104	35	+	+	CCONJ
ejpam-4124	104	36	(	(	PUNCT
ejpam-4124	104	37	1−	1−	NUM
ejpam-4124	104	38	γ)η4	γ)η4	PROPN
ejpam-4124	104	39	]	]	X
ejpam-4124	105	1	+	+	CCONJ
ejpam-4124	105	2	ci−2[γσ5	ci−2[γσ5	NOUN
ejpam-4124	105	3	+	+	CCONJ
ejpam-4124	105	4	(	(	PUNCT
ejpam-4124	105	5	1−	1−	NUM
ejpam-4124	105	6	γ)η5	γ)η5	PROPN
ejpam-4124	105	7	]	]	X
ejpam-4124	105	8	+	+	NUM
ejpam-4124	105	9	ci−1[γσ4	ci−1[γσ4	NOUN
ejpam-4124	105	10	+	+	CCONJ
ejpam-4124	105	11	(	(	PUNCT
ejpam-4124	105	12	1−	1−	NUM
ejpam-4124	105	13	γ)η4	γ)η4	PROPN
ejpam-4124	105	14	]	]	PUNCT
ejpam-4124	105	15	}	}	PUNCT
ejpam-4124	105	16	+	+	ADJ
ejpam-4124	105	17	m(xi){ci−3[−γσ3	m(xi){ci−3[−γσ3	ADJ
ejpam-4124	105	18	−	−	PROPN
ejpam-4124	105	19	(	(	PUNCT
ejpam-4124	105	20	1−	1−	NUM
ejpam-4124	105	21	γ)η3	γ)η3	PROPN
ejpam-4124	105	22	]	]	PUNCT
ejpam-4124	105	23	+	+	CCONJ
ejpam-4124	105	24	ci−1[γσ3	ci−1[γσ3	ADJ
ejpam-4124	105	25	+	+	CCONJ
ejpam-4124	105	26	(	(	PUNCT
ejpam-4124	105	27	1−	1−	NUM
ejpam-4124	105	28	γ)η3	γ)η3	NOUN
ejpam-4124	105	29	]	]	PUNCT
ejpam-4124	105	30	}	}	PUNCT
ejpam-4124	105	31	+	+	NOUN
ejpam-4124	105	32	n(xi){ci−3[γσ1+(1−γ)η1]+ci−2[γσ2+(1−γ)η2]+ci−1[γσ1+(1−γ)η1	n(xi){ci−3[γσ1+(1−γ)η1]+ci−2[γσ2+(1−γ)η2]+ci−1[γσ1+(1−γ)η1	ADJ
ejpam-4124	105	33	]	]	ADJ
ejpam-4124	105	34	}	}	PUNCT
ejpam-4124	105	35	=	=	SYM
ejpam-4124	105	36	r(xi	r(xi	PROPN
ejpam-4124	105	37	)	)	PUNCT
ejpam-4124	105	38	.	.	PUNCT
ejpam-4124	106	1	(	(	PUNCT
ejpam-4124	106	2	14	14	NUM
ejpam-4124	106	3	)	)	PUNCT
ejpam-4124	106	4	by	by	ADP
ejpam-4124	106	5	collecting	collect	VERB
ejpam-4124	106	6	the	the	DET
ejpam-4124	106	7	terms	term	NOUN
ejpam-4124	106	8	that	that	PRON
ejpam-4124	106	9	only	only	ADV
ejpam-4124	106	10	contain	contain	VERB
ejpam-4124	106	11	ci−3	ci−3	PROPN
ejpam-4124	106	12	,	,	PUNCT
ejpam-4124	106	13	ci−2	ci−2	NOUN
ejpam-4124	106	14	,	,	PUNCT
ejpam-4124	106	15	and	and	CCONJ
ejpam-4124	106	16	ci−1	ci−1	PROPN
ejpam-4124	106	17	from	from	ADP
ejpam-4124	106	18	(	(	PUNCT
ejpam-4124	106	19	14	14	NUM
ejpam-4124	106	20	)	)	PUNCT
ejpam-4124	106	21	,	,	PUNCT
ejpam-4124	106	22	we	we	PRON
ejpam-4124	106	23	have	have	AUX
ejpam-4124	106	24	ci−3[γσ4	ci−3[γσ4	VERB
ejpam-4124	106	25	+	+	CCONJ
ejpam-4124	106	26	(	(	PUNCT
ejpam-4124	106	27	1−	1−	NUM
ejpam-4124	106	28	γ)η4	γ)η4	PROPN
ejpam-4124	106	29	−m(xi)(γσ3	−m(xi)(γσ3	PROPN
ejpam-4124	107	1	+	+	CCONJ
ejpam-4124	107	2	(	(	PUNCT
ejpam-4124	107	3	1−	1−	NUM
ejpam-4124	107	4	γ)η3	γ)η3	NOUN
ejpam-4124	107	5	)	)	PUNCT
ejpam-4124	108	1	+	+	CCONJ
ejpam-4124	108	2	n(xi)(γσ1	n(xi)(γσ1	NUM
ejpam-4124	108	3	+	+	CCONJ
ejpam-4124	108	4	(	(	PUNCT
ejpam-4124	108	5	1−	1−	NUM
ejpam-4124	108	6	γ)η1	γ)η1	PROPN
ejpam-4124	108	7	)	)	PUNCT
ejpam-4124	108	8	]	]	PUNCT
ejpam-4124	109	1	+	+	PUNCT
ejpam-4124	109	2	ci−2[γσ5	ci−2[γσ5	NOUN
ejpam-4124	109	3	+	+	CCONJ
ejpam-4124	109	4	(	(	PUNCT
ejpam-4124	109	5	1−	1−	NUM
ejpam-4124	109	6	γ)η5	γ)η5	PROPN
ejpam-4124	109	7	+	+	CCONJ
ejpam-4124	109	8	n(xi)(γσ2	n(xi)(γσ2	NUM
ejpam-4124	109	9	+	+	CCONJ
ejpam-4124	109	10	(	(	PUNCT
ejpam-4124	109	11	1−	1−	NUM
ejpam-4124	109	12	γ)η2	γ)η2	PROPN
ejpam-4124	109	13	)	)	PUNCT
ejpam-4124	109	14	]	]	PUNCT
ejpam-4124	110	1	+	+	PUNCT
ejpam-4124	110	2	ci−1[γσ4	ci−1[γσ4	NOUN
ejpam-4124	110	3	+	+	CCONJ
ejpam-4124	110	4	(	(	PUNCT
ejpam-4124	110	5	1−	1−	NUM
ejpam-4124	110	6	γ)η4	γ)η4	PROPN
ejpam-4124	111	1	+	+	PROPN
ejpam-4124	111	2	m(xi)(γσ3	m(xi)(γσ3	ADJ
ejpam-4124	111	3	+	+	CCONJ
ejpam-4124	111	4	(	(	PUNCT
ejpam-4124	111	5	1−	1−	NUM
ejpam-4124	111	6	γ)η3	γ)η3	NOUN
ejpam-4124	111	7	)	)	PUNCT
ejpam-4124	112	1	+	+	CCONJ
ejpam-4124	112	2	n(xi)(γσ1	n(xi)(γσ1	NUM
ejpam-4124	112	3	+	+	CCONJ
ejpam-4124	112	4	(	(	PUNCT
ejpam-4124	112	5	1−	1−	NUM
ejpam-4124	112	6	γ)η1	γ)η1	PROPN
ejpam-4124	112	7	)	)	PUNCT
ejpam-4124	112	8	]	]	PUNCT
ejpam-4124	113	1	=	=	SYM
ejpam-4124	113	2	r(xi	r(xi	PROPN
ejpam-4124	113	3	)	)	PUNCT
ejpam-4124	113	4	.	.	PUNCT
ejpam-4124	114	1	(	(	PUNCT
ejpam-4124	114	2	15	15	X
ejpam-4124	114	3	)	)	PUNCT
ejpam-4124	114	4	a.	a.	NOUN
ejpam-4124	114	5	s.	s.	PROPN
ejpam-4124	114	6	heilat	heilat	PROPN
ejpam-4124	114	7	et	et	PROPN
ejpam-4124	114	8	al	al	PROPN
ejpam-4124	114	9	.	.	PUNCT
ejpam-4124	114	10	/	/	SYM
ejpam-4124	114	11	eur	eur	PROPN
ejpam-4124	114	12	.	.	PUNCT
ejpam-4124	115	1	j.	j.	PROPN
ejpam-4124	115	2	pure	pure	PROPN
ejpam-4124	115	3	appl	appl	PROPN
ejpam-4124	115	4	.	.	PROPN
ejpam-4124	115	5	math	math	PROPN
ejpam-4124	115	6	,	,	PUNCT
ejpam-4124	115	7	14	14	NUM
ejpam-4124	115	8	(	(	PUNCT
ejpam-4124	115	9	4	4	NUM
ejpam-4124	115	10	)	)	PUNCT
ejpam-4124	115	11	(	(	PUNCT
ejpam-4124	115	12	2021	2021	NUM
ejpam-4124	115	13	)	)	PUNCT
ejpam-4124	115	14	,	,	PUNCT
ejpam-4124	115	15	1283	1283	NUM
ejpam-4124	115	16	-	-	SYM
ejpam-4124	115	17	1294	1294	NUM
ejpam-4124	115	18	1287	1287	NUM
ejpam-4124	115	19	similarly	similarly	ADV
ejpam-4124	115	20	,	,	PUNCT
ejpam-4124	115	21	the	the	DET
ejpam-4124	115	22	boundary	boundary	ADJ
ejpam-4124	115	23	conditions	condition	NOUN
ejpam-4124	115	24	can	can	AUX
ejpam-4124	115	25	be	be	AUX
ejpam-4124	115	26	simplified	simplify	VERB
ejpam-4124	115	27	as	as	ADP
ejpam-4124	115	28	the	the	DET
ejpam-4124	115	29	following	following	NOUN
ejpam-4124	115	30	:	:	PUNCT
ejpam-4124	115	31	s(0	s(0	PROPN
ejpam-4124	115	32	)	)	PUNCT
ejpam-4124	115	33	=	=	PUNCT
ejpam-4124	115	34	s(x0	s(x0	NOUN
ejpam-4124	115	35	)	)	PUNCT
ejpam-4124	116	1	=	=	SYM
ejpam-4124	116	2	c−3[γσ1+(1−γ)η1]+c−2[γσ2+(1−γ)η2]+c−1[γσ1+(1−γ)η1	c−3[γσ1+(1−γ)η1]+c−2[γσ2+(1−γ)η2]+c−1[γσ1+(1−γ)η1	NOUN
ejpam-4124	116	3	]	]	PUNCT
ejpam-4124	116	4	=	=	PUNCT
ejpam-4124	116	5	β1	β1	PROPN
ejpam-4124	116	6	(	(	PUNCT
ejpam-4124	116	7	16	16	NUM
ejpam-4124	116	8	)	)	PUNCT
ejpam-4124	116	9	s(1	s(1	PROPN
ejpam-4124	116	10	)	)	PUNCT
ejpam-4124	116	11	=	=	SYM
ejpam-4124	116	12	s(xn	s(xn	X
ejpam-4124	116	13	)	)	PUNCT
ejpam-4124	116	14	=	=	PUNCT
ejpam-4124	116	15	cn−3[γσ1+(1−γ)η1]+cn−2[γσ2+(1−γ)η2]+cn−1[γσ1+(1−γ)η1	cn−3[γσ1+(1−γ)η1]+cn−2[γσ2+(1−γ)η2]+cn−1[γσ1+(1−γ)η1	X
ejpam-4124	116	16	]	]	X
ejpam-4124	116	17	=	=	PUNCT
ejpam-4124	116	18	β2	β2	NOUN
ejpam-4124	116	19	(	(	PUNCT
ejpam-4124	116	20	17	17	NUM
ejpam-4124	116	21	)	)	PUNCT
ejpam-4124	116	22	we	we	PRON
ejpam-4124	116	23	can	can	AUX
ejpam-4124	116	24	rearrange	rearrange	VERB
ejpam-4124	116	25	(	(	PUNCT
ejpam-4124	116	26	15	15	NUM
ejpam-4124	116	27	)	)	PUNCT
ejpam-4124	116	28	,	,	PUNCT
ejpam-4124	116	29	(	(	PUNCT
ejpam-4124	116	30	16	16	NUM
ejpam-4124	116	31	)	)	PUNCT
ejpam-4124	116	32	,	,	PUNCT
ejpam-4124	116	33	and	and	CCONJ
ejpam-4124	116	34	(	(	PUNCT
ejpam-4124	116	35	17	17	NUM
ejpam-4124	116	36	)	)	PUNCT
ejpam-4124	116	37	to	to	PART
ejpam-4124	116	38	get	get	VERB
ejpam-4124	116	39	a	a	DET
ejpam-4124	116	40	matrix	matrix	NOUN
ejpam-4124	116	41	equation	equation	NOUN
ejpam-4124	116	42	in	in	ADP
ejpam-4124	116	43	the	the	DET
ejpam-4124	116	44	form	form	NOUN
ejpam-4124	116	45	of	of	ADP
ejpam-4124	116	46	[	[	X
ejpam-4124	116	47	a](n+3)×(n+3)[c](n+3)×1	a](n+3)×(n+3)[c](n+3)×1	X
ejpam-4124	116	48	=	=	PUNCT
ejpam-4124	117	1	[	[	X
ejpam-4124	117	2	r]1×(n+3	r]1×(n+3	X
ejpam-4124	117	3	)	)	PUNCT
ejpam-4124	117	4	,	,	PUNCT
ejpam-4124	117	5	(	(	PUNCT
ejpam-4124	117	6	18	18	NUM
ejpam-4124	117	7	)	)	PUNCT
ejpam-4124	118	1	where	where	SCONJ
ejpam-4124	118	2	c	c	NOUN
ejpam-4124	118	3	=	=	PUNCT
ejpam-4124	119	1	[	[	X
ejpam-4124	119	2	c−3	c−3	PROPN
ejpam-4124	119	3	,	,	PUNCT
ejpam-4124	119	4	c−2	c−2	NOUN
ejpam-4124	119	5	,	,	PUNCT
ejpam-4124	119	6	c−1	c−1	PROPN
ejpam-4124	119	7	,	,	PUNCT
ejpam-4124	119	8	...	...	PUNCT
ejpam-4124	119	9	,	,	PUNCT
ejpam-4124	119	10	cn−1	cn−1	PROPN
ejpam-4124	119	11	]	]	X
ejpam-4124	119	12	t	t	PROPN
ejpam-4124	119	13	is	be	AUX
ejpam-4124	119	14	the	the	DET
ejpam-4124	119	15	unknown	unknown	ADJ
ejpam-4124	119	16	vector	vector	NOUN
ejpam-4124	119	17	,	,	PUNCT
ejpam-4124	119	18	r	r	NOUN
ejpam-4124	119	19	=	=	PUNCT
ejpam-4124	120	1	[	[	X
ejpam-4124	120	2	β1	β1	PROPN
ejpam-4124	120	3	,	,	PUNCT
ejpam-4124	120	4	r(x0	r(x0	NOUN
ejpam-4124	120	5	)	)	PUNCT
ejpam-4124	120	6	,	,	PUNCT
ejpam-4124	120	7	r(x1	r(x1	PROPN
ejpam-4124	120	8	)	)	PUNCT
ejpam-4124	120	9	,	,	PUNCT
ejpam-4124	120	10	...	...	PUNCT
ejpam-4124	120	11	,	,	PUNCT
ejpam-4124	120	12	r(xn	r(xn	X
ejpam-4124	120	13	)	)	PUNCT
ejpam-4124	120	14	,	,	PUNCT
ejpam-4124	120	15	β2	β2	PROPN
ejpam-4124	120	16	]	]	PUNCT
ejpam-4124	120	17	t	t	PROPN
ejpam-4124	120	18	,	,	PUNCT
ejpam-4124	120	19	and	and	CCONJ
ejpam-4124	120	20	a	a	PRON
ejpam-4124	120	21	is	be	AUX
ejpam-4124	120	22	an	an	DET
ejpam-4124	120	23	(	(	PUNCT
ejpam-4124	120	24	n+	n+	ADP
ejpam-4124	120	25	3)×	3)×	NUM
ejpam-4124	120	26	(	(	PUNCT
ejpam-4124	120	27	n+	n+	NOUN
ejpam-4124	120	28	3	3	NUM
ejpam-4124	120	29	)	)	PUNCT
ejpam-4124	120	30	-dimensional	-dimensional	ADJ
ejpam-4124	120	31	matrix	matrix	NOUN
ejpam-4124	120	32	given	give	VERB
ejpam-4124	120	33	by	by	ADP
ejpam-4124	120	34	a	a	DET
ejpam-4124	120	35	=	=	X
ejpam-4124	120	36			NOUN
ejpam-4124	120	37	γσ1+(1−γ)η1	γσ1+(1−γ)η1	PUNCT
ejpam-4124	120	38	γσ2+(1−γ)η2	γσ2+(1−γ)η2	PUNCT
ejpam-4124	120	39	γσ1+(1−γ)η1	γσ1+(1−γ)η1	PUNCT
ejpam-4124	120	40	0	0	NUM
ejpam-4124	120	41	·	·	PUNCT
ejpam-4124	120	42	·	·	PUNCT
ejpam-4124	120	43	·	·	PUNCT
ejpam-4124	120	44	0	0	NUM
ejpam-4124	120	45	0	0	NUM
ejpam-4124	120	46	a0(x0	a0(x0	NOUN
ejpam-4124	120	47	)	)	PUNCT
ejpam-4124	120	48	b0(x0	b0(x0	NOUN
ejpam-4124	120	49	)	)	PUNCT
ejpam-4124	120	50	c0(x0	c0(x0	PROPN
ejpam-4124	120	51	)	)	PUNCT
ejpam-4124	120	52	0	0	NUM
ejpam-4124	120	53	·	·	PUNCT
ejpam-4124	120	54	·	·	PUNCT
ejpam-4124	120	55	·	·	PUNCT
ejpam-4124	120	56	0	0	NUM
ejpam-4124	120	57	0	0	NUM
ejpam-4124	120	58	0	0	NUM
ejpam-4124	120	59	a1(x1	a1(x1	PROPN
ejpam-4124	120	60	)	)	PUNCT
ejpam-4124	120	61	b1(x1	b1(x1	PROPN
ejpam-4124	120	62	)	)	PUNCT
ejpam-4124	120	63	c1(x1	c1(x1	PROPN
ejpam-4124	120	64	)	)	PUNCT
ejpam-4124	120	65	0	0	NUM
ejpam-4124	120	66	·	·	PUNCT
ejpam-4124	120	67	·	·	PUNCT
ejpam-4124	120	68	·	·	PUNCT
ejpam-4124	120	69	0	0	NUM
ejpam-4124	120	70	...	...	PUNCT
ejpam-4124	120	71	...	...	PUNCT
ejpam-4124	120	72	...	...	PUNCT
ejpam-4124	120	73	...	...	PUNCT
ejpam-4124	120	74	...	...	PUNCT
ejpam-4124	120	75	...	...	PUNCT
ejpam-4124	120	76	...	...	PUNCT
ejpam-4124	121	1	0	0	NUM
ejpam-4124	121	2	·	·	PUNCT
ejpam-4124	121	3	·	·	PUNCT
ejpam-4124	121	4	·	·	PUNCT
ejpam-4124	121	5	0	0	NUM
ejpam-4124	121	6	0	0	NUM
ejpam-4124	121	7	an(xn	an(xn	PROPN
ejpam-4124	121	8	)	)	PUNCT
ejpam-4124	121	9	bn(xn	bn(xn	NOUN
ejpam-4124	121	10	)	)	PUNCT
ejpam-4124	121	11	cn(xn	cn(xn	ADJ
ejpam-4124	121	12	)	)	PUNCT
ejpam-4124	121	13	·	·	PUNCT
ejpam-4124	121	14	·	·	PUNCT
ejpam-4124	121	15	·	·	PUNCT
ejpam-4124	121	16	·	·	PUNCT
ejpam-4124	121	17	γσ1+(1−γ)η1	γσ1+(1−γ)η1	PUNCT
ejpam-4124	121	18	γσ2+(1−γ)η2	γσ2+(1−γ)η2	PUNCT
ejpam-4124	121	19	γσ1+(1−γ)η1	γσ1+(1−γ)η1	PUNCT
ejpam-4124	121	20			PROPN
ejpam-4124	121	21	(	(	PUNCT
ejpam-4124	121	22	n+3)×(n+3	n+3)×(n+3	PROPN
ejpam-4124	121	23	)	)	PUNCT
ejpam-4124	121	24	the	the	DET
ejpam-4124	121	25	coefficients	coefficient	NOUN
ejpam-4124	121	26	in	in	ADP
ejpam-4124	121	27	the	the	DET
ejpam-4124	121	28	matrix	matrix	NOUN
ejpam-4124	121	29	a	a	PRON
ejpam-4124	121	30	are	be	AUX
ejpam-4124	121	31	as	as	ADP
ejpam-4124	121	32	the	the	DET
ejpam-4124	121	33	following	following	NOUN
ejpam-4124	121	34	for	for	ADP
ejpam-4124	121	35	i	i	PROPN
ejpam-4124	121	36	=	=	NOUN
ejpam-4124	121	37	0	0	NUM
ejpam-4124	121	38	,	,	PUNCT
ejpam-4124	121	39	1	1	NUM
ejpam-4124	121	40	,	,	PUNCT
ejpam-4124	121	41	...	...	PUNCT
ejpam-4124	121	42	,	,	PUNCT
ejpam-4124	121	43	n	n	CCONJ
ejpam-4124	121	44	:	:	PUNCT
ejpam-4124	121	45	ai(xi	ai(xi	X
ejpam-4124	121	46	)	)	PUNCT
ejpam-4124	122	1	=	=	PUNCT
ejpam-4124	123	1	[	[	X
ejpam-4124	123	2	γσ4	γσ4	X
ejpam-4124	123	3	+	+	CCONJ
ejpam-4124	123	4	(	(	PUNCT
ejpam-4124	123	5	1−	1−	NUM
ejpam-4124	123	6	γ)η4]−m(xi)[γσ3	γ)η4]−m(xi)[γσ3	NUM
ejpam-4124	123	7	+	+	CCONJ
ejpam-4124	123	8	(	(	PUNCT
ejpam-4124	123	9	1−	1−	NUM
ejpam-4124	123	10	γ)η3	γ)η3	PROPN
ejpam-4124	123	11	]	]	PUNCT
ejpam-4124	123	12	+	+	CCONJ
ejpam-4124	123	13	n(xi)[γσ1	n(xi)[γσ1	NOUN
ejpam-4124	123	14	+	+	CCONJ
ejpam-4124	123	15	(	(	PUNCT
ejpam-4124	123	16	1−	1−	NUM
ejpam-4124	123	17	γ)η1	γ)η1	PROPN
ejpam-4124	123	18	]	]	PUNCT
ejpam-4124	123	19	bi(xi	bi(xi	PROPN
ejpam-4124	123	20	)	)	PUNCT
ejpam-4124	124	1	=	=	PUNCT
ejpam-4124	125	1	[	[	X
ejpam-4124	125	2	γσ5	γσ5	NOUN
ejpam-4124	125	3	+	+	CCONJ
ejpam-4124	125	4	(	(	PUNCT
ejpam-4124	125	5	1−	1−	NUM
ejpam-4124	125	6	γ)η5	γ)η5	PROPN
ejpam-4124	125	7	]	]	X
ejpam-4124	125	8	+	+	NUM
ejpam-4124	125	9	n(xi)[γσ2	n(xi)[γσ2	X
ejpam-4124	125	10	+	+	CCONJ
ejpam-4124	125	11	(	(	PUNCT
ejpam-4124	125	12	1−	1−	NUM
ejpam-4124	125	13	γ)η2	γ)η2	PROPN
ejpam-4124	125	14	]	]	X
ejpam-4124	125	15	ci(xi	ci(xi	PROPN
ejpam-4124	125	16	)	)	PUNCT
ejpam-4124	126	1	=	=	PUNCT
ejpam-4124	127	1	[	[	X
ejpam-4124	127	2	γσ4	γσ4	X
ejpam-4124	127	3	+	+	CCONJ
ejpam-4124	127	4	(	(	PUNCT
ejpam-4124	127	5	1−	1−	NUM
ejpam-4124	127	6	γ)η4	γ)η4	PROPN
ejpam-4124	127	7	]	]	X
ejpam-4124	127	8	+	+	NOUN
ejpam-4124	127	9	m(xi)[γσ3	m(xi)[γσ3	ADJ
ejpam-4124	127	10	+	+	CCONJ
ejpam-4124	127	11	(	(	PUNCT
ejpam-4124	127	12	1−	1−	NUM
ejpam-4124	127	13	γ)η3	γ)η3	PROPN
ejpam-4124	127	14	]	]	PUNCT
ejpam-4124	128	1	+	+	CCONJ
ejpam-4124	128	2	n(xi)[γσ1	n(xi)[γσ1	NOUN
ejpam-4124	128	3	+	+	CCONJ
ejpam-4124	128	4	(	(	PUNCT
ejpam-4124	128	5	1−	1−	NUM
ejpam-4124	128	6	γ)η1	γ)η1	PROPN
ejpam-4124	128	7	]	]	PUNCT
ejpam-4124	128	8	therefore	therefore	ADV
ejpam-4124	128	9	,	,	PUNCT
ejpam-4124	128	10	c	c	PROPN
ejpam-4124	128	11	can	can	AUX
ejpam-4124	128	12	be	be	AUX
ejpam-4124	128	13	solved	solve	VERB
ejpam-4124	128	14	by	by	ADP
ejpam-4124	128	15	taking	take	VERB
ejpam-4124	128	16	c	c	NOUN
ejpam-4124	128	17	=	=	PUNCT
ejpam-4124	128	18	a−1r	a−1r	PROPN
ejpam-4124	128	19	.	.	PUNCT
ejpam-4124	129	1	(	(	PUNCT
ejpam-4124	129	2	19	19	NUM
ejpam-4124	129	3	)	)	PUNCT
ejpam-4124	129	4	in	in	ADP
ejpam-4124	129	5	order	order	NOUN
ejpam-4124	129	6	to	to	PART
ejpam-4124	129	7	get	get	VERB
ejpam-4124	129	8	the	the	DET
ejpam-4124	129	9	approximate	approximate	ADJ
ejpam-4124	129	10	analytical	analytical	ADJ
ejpam-4124	129	11	solution	solution	NOUN
ejpam-4124	129	12	of	of	ADP
ejpam-4124	129	13	equation	equation	NOUN
ejpam-4124	129	14	(	(	PUNCT
ejpam-4124	129	15	1	1	X
ejpam-4124	129	16	)	)	PUNCT
ejpam-4124	129	17	we	we	PRON
ejpam-4124	129	18	can	can	AUX
ejpam-4124	129	19	substitute	substitute	VERB
ejpam-4124	129	20	the	the	DET
ejpam-4124	129	21	values	value	NOUN
ejpam-4124	129	22	of	of	ADP
ejpam-4124	129	23	ci	ci	NOUN
ejpam-4124	129	24	in	in	ADP
ejpam-4124	129	25	equation	equation	NOUN
ejpam-4124	129	26	(	(	PUNCT
ejpam-4124	129	27	5	5	NUM
ejpam-4124	129	28	)	)	PUNCT
ejpam-4124	129	29	,	,	PUNCT
ejpam-4124	129	30	for	for	ADP
ejpam-4124	129	31	i	i	PROPN
ejpam-4124	129	32	=	=	SYM
ejpam-4124	129	33	−3,−2	−3,−2	PROPN
ejpam-4124	129	34	,	,	PUNCT
ejpam-4124	129	35	...	...	PUNCT
ejpam-4124	129	36	,	,	PUNCT
ejpam-4124	129	37	n−	n−	NOUN
ejpam-4124	129	38	1	1	NUM
ejpam-4124	129	39	.	.	PUNCT
ejpam-4124	130	1	the	the	DET
ejpam-4124	130	2	numerical	numerical	ADJ
ejpam-4124	130	3	solution	solution	NOUN
ejpam-4124	130	4	can	can	AUX
ejpam-4124	130	5	be	be	AUX
ejpam-4124	130	6	calculated	calculate	VERB
ejpam-4124	130	7	after	after	ADP
ejpam-4124	130	8	obtaining	obtain	VERB
ejpam-4124	130	9	the	the	DET
ejpam-4124	130	10	values	value	NOUN
ejpam-4124	130	11	of	of	ADP
ejpam-4124	130	12	γ	γ	NOUN
ejpam-4124	130	13	by	by	ADP
ejpam-4124	130	14	trial	trial	NOUN
ejpam-4124	130	15	and	and	CCONJ
ejpam-4124	130	16	error	error	NOUN
ejpam-4124	130	17	[	[	X
ejpam-4124	130	18	19	19	NUM
ejpam-4124	130	19	]	]	PUNCT
ejpam-4124	130	20	.	.	PUNCT
ejpam-4124	131	1	4	4	X
ejpam-4124	131	2	.	.	X
ejpam-4124	131	3	optimizing	optimize	VERB
ejpam-4124	131	4	the	the	DET
ejpam-4124	131	5	γ	γ	PROPN
ejpam-4124	131	6	the	the	DET
ejpam-4124	131	7	approximate	approximate	ADJ
ejpam-4124	131	8	analytical	analytical	ADJ
ejpam-4124	131	9	solution	solution	NOUN
ejpam-4124	131	10	is	be	AUX
ejpam-4124	131	11	of	of	ADP
ejpam-4124	131	12	the	the	DET
ejpam-4124	131	13	form	form	NOUN
ejpam-4124	131	14	s(x	s(x	PROPN
ejpam-4124	131	15	,	,	PUNCT
ejpam-4124	131	16	γ	γ	NOUN
ejpam-4124	131	17	)	)	PUNCT
ejpam-4124	131	18	=	=	AUX
ejpam-4124	132	1	n−1∑	n−1∑	NUM
ejpam-4124	132	2	i=−3	i=−3	NOUN
ejpam-4124	132	3	cih	cih	NOUN
ejpam-4124	132	4	4	4	NUM
ejpam-4124	133	1	i	i	NOUN
ejpam-4124	133	2	(	(	PUNCT
ejpam-4124	133	3	x	x	NOUN
ejpam-4124	133	4	,	,	PUNCT
ejpam-4124	133	5	γ	γ	NOUN
ejpam-4124	133	6	)	)	PUNCT
ejpam-4124	133	7	,	,	PUNCT
ejpam-4124	133	8	x	x	PUNCT
ejpam-4124	133	9	∈	∈	PROPN
ejpam-4124	134	1	[	[	X
ejpam-4124	134	2	x0	x0	PROPN
ejpam-4124	134	3	,	,	PUNCT
ejpam-4124	134	4	xn	xn	PROPN
ejpam-4124	134	5	]	]	PUNCT
ejpam-4124	134	6	,	,	PUNCT
ejpam-4124	134	7	ci	ci	PROPN
ejpam-4124	134	8	∈	∈	PROPN
ejpam-4124	134	9	r.	r.	PROPN
ejpam-4124	134	10	(	(	PUNCT
ejpam-4124	134	11	20	20	NUM
ejpam-4124	134	12	)	)	PUNCT
ejpam-4124	134	13	where	where	SCONJ
ejpam-4124	134	14	ci	ci	NOUN
ejpam-4124	134	15	’s	’s	PART
ejpam-4124	134	16	are	be	AUX
ejpam-4124	134	17	obtained	obtain	VERB
ejpam-4124	134	18	by	by	ADP
ejpam-4124	134	19	solving	solve	VERB
ejpam-4124	134	20	a	a	DET
ejpam-4124	134	21	linear	linear	ADJ
ejpam-4124	134	22	system	system	NOUN
ejpam-4124	134	23	of	of	ADP
ejpam-4124	134	24	order	order	NOUN
ejpam-4124	134	25	(	(	PUNCT
ejpam-4124	134	26	n	n	NOUN
ejpam-4124	134	27	+	+	CCONJ
ejpam-4124	134	28	1	1	NUM
ejpam-4124	134	29	)	)	PUNCT
ejpam-4124	134	30	×	×	NOUN
ejpam-4124	134	31	(	(	PUNCT
ejpam-4124	134	32	n	n	NOUN
ejpam-4124	134	33	+	+	NOUN
ejpam-4124	134	34	1	1	NUM
ejpam-4124	134	35	)	)	PUNCT
ejpam-4124	134	36	.	.	PUNCT
ejpam-4124	135	1	ci	ci	PROPN
ejpam-4124	135	2	’s	’s	PART
ejpam-4124	135	3	are	be	AUX
ejpam-4124	135	4	functions	function	NOUN
ejpam-4124	135	5	of	of	ADP
ejpam-4124	135	6	x	x	X
ejpam-4124	135	7	and	and	CCONJ
ejpam-4124	135	8	γ	γ	PROPN
ejpam-4124	135	9	.	.	PUNCT
ejpam-4124	136	1	the	the	DET
ejpam-4124	136	2	approach	approach	NOUN
ejpam-4124	136	3	used	use	VERB
ejpam-4124	136	4	is	be	AUX
ejpam-4124	136	5	adopted	adopt	VERB
ejpam-4124	136	6	from	from	ADP
ejpam-4124	136	7	[	[	X
ejpam-4124	136	8	17	17	NUM
ejpam-4124	136	9	]	]	PUNCT
ejpam-4124	136	10	.	.	PUNCT
ejpam-4124	137	1	equation	equation	NOUN
ejpam-4124	137	2	(	(	PUNCT
ejpam-4124	137	3	20	20	NUM
ejpam-4124	137	4	)	)	PUNCT
ejpam-4124	137	5	has	have	VERB
ejpam-4124	137	6	two	two	NUM
ejpam-4124	137	7	free	free	ADJ
ejpam-4124	137	8	a.	a.	NOUN
ejpam-4124	137	9	s.	s.	PROPN
ejpam-4124	137	10	heilat	heilat	PROPN
ejpam-4124	137	11	et	et	PROPN
ejpam-4124	137	12	al	al	PROPN
ejpam-4124	137	13	.	.	PUNCT
ejpam-4124	137	14	/	/	SYM
ejpam-4124	137	15	eur	eur	PROPN
ejpam-4124	137	16	.	.	PUNCT
ejpam-4124	138	1	j.	j.	PROPN
ejpam-4124	138	2	pure	pure	PROPN
ejpam-4124	138	3	appl	appl	PROPN
ejpam-4124	138	4	.	.	PROPN
ejpam-4124	138	5	math	math	PROPN
ejpam-4124	138	6	,	,	PUNCT
ejpam-4124	138	7	14	14	NUM
ejpam-4124	138	8	(	(	PUNCT
ejpam-4124	138	9	4	4	NUM
ejpam-4124	138	10	)	)	PUNCT
ejpam-4124	138	11	(	(	PUNCT
ejpam-4124	138	12	2021	2021	NUM
ejpam-4124	138	13	)	)	PUNCT
ejpam-4124	138	14	,	,	PUNCT
ejpam-4124	138	15	1283	1283	NUM
ejpam-4124	138	16	-	-	SYM
ejpam-4124	138	17	1294	1294	NUM
ejpam-4124	138	18	1288	1288	NUM
ejpam-4124	138	19	parameters	parameter	NOUN
ejpam-4124	138	20	,	,	PUNCT
ejpam-4124	138	21	x	x	X
ejpam-4124	138	22	and	and	CCONJ
ejpam-4124	138	23	γ	γ	X
ejpam-4124	138	24	.	.	PROPN
ejpam-4124	139	1	so	so	ADV
ejpam-4124	139	2	,	,	PUNCT
ejpam-4124	139	3	s(x	s(x	PROPN
ejpam-4124	139	4	)	)	PUNCT
ejpam-4124	139	5	can	can	AUX
ejpam-4124	139	6	be	be	AUX
ejpam-4124	139	7	written	write	VERB
ejpam-4124	139	8	as	as	ADP
ejpam-4124	139	9	s(x	s(x	PROPN
ejpam-4124	139	10	,	,	PUNCT
ejpam-4124	139	11	γ	γ	NOUN
ejpam-4124	139	12	)	)	PUNCT
ejpam-4124	139	13	.	.	PUNCT
ejpam-4124	140	1	s(x	s(x	PROPN
ejpam-4124	140	2	,	,	PUNCT
ejpam-4124	140	3	γ	γ	X
ejpam-4124	140	4	)	)	PUNCT
ejpam-4124	140	5	is	be	AUX
ejpam-4124	140	6	piecewise	piecewise	NOUN
ejpam-4124	140	7	polynomials	polynomial	NOUN
ejpam-4124	140	8	with	with	ADP
ejpam-4124	140	9	n	n	NOUN
ejpam-4124	140	10	intervals	interval	NOUN
ejpam-4124	140	11	,	,	PUNCT
ejpam-4124	140	12	as	as	ADP
ejpam-4124	140	13	in	in	ADP
ejpam-4124	140	14	equation	equation	NOUN
ejpam-4124	140	15	(	(	PUNCT
ejpam-4124	140	16	21	21	NUM
ejpam-4124	140	17	)	)	PUNCT
ejpam-4124	140	18	.	.	PUNCT
ejpam-4124	141	1	each	each	DET
ejpam-4124	141	2	si(x	si(x	NOUN
ejpam-4124	141	3	,	,	PUNCT
ejpam-4124	141	4	γ	γ	NOUN
ejpam-4124	141	5	)	)	PUNCT
ejpam-4124	141	6	,	,	PUNCT
ejpam-4124	141	7	for	for	ADP
ejpam-4124	141	8	i	i	PROPN
ejpam-4124	141	9	=	=	SYM
ejpam-4124	141	10	1	1	NUM
ejpam-4124	141	11	,	,	PUNCT
ejpam-4124	141	12	2	2	NUM
ejpam-4124	141	13	,	,	PUNCT
ejpam-4124	141	14	...	...	PUNCT
ejpam-4124	141	15	,	,	PUNCT
ejpam-4124	141	16	n−	n−	NOUN
ejpam-4124	141	17	1	1	NUM
ejpam-4124	141	18	is	be	AUX
ejpam-4124	141	19	a	a	DET
ejpam-4124	141	20	polynomials	polynomial	NOUN
ejpam-4124	141	21	of	of	ADP
ejpam-4124	141	22	degree	degree	NOUN
ejpam-4124	141	23	four	four	NUM
ejpam-4124	141	24	.	.	PUNCT
ejpam-4124	141	25	si(x	si(x	PROPN
ejpam-4124	141	26	,	,	PUNCT
ejpam-4124	141	27	γ	γ	NOUN
ejpam-4124	141	28	)	)	PUNCT
ejpam-4124	141	29	,	,	PUNCT
ejpam-4124	141	30	x	x	PUNCT
ejpam-4124	141	31	∈	∈	PROPN
ejpam-4124	141	32	[	[	X
ejpam-4124	141	33	xi	xi	PROPN
ejpam-4124	141	34	,	,	PUNCT
ejpam-4124	141	35	xi+1	xi+1	PROPN
ejpam-4124	141	36	]	]	PUNCT
ejpam-4124	141	37	,	,	PUNCT
ejpam-4124	141	38	(	(	PUNCT
ejpam-4124	141	39	21	21	NUM
ejpam-4124	141	40	)	)	PUNCT
ejpam-4124	141	41	equation	equation	NOUN
ejpam-4124	141	42	(	(	PUNCT
ejpam-4124	141	43	1	1	X
ejpam-4124	141	44	)	)	PUNCT
ejpam-4124	141	45	can	can	AUX
ejpam-4124	141	46	be	be	AUX
ejpam-4124	141	47	written	write	VERB
ejpam-4124	141	48	as	as	ADP
ejpam-4124	141	49	in	in	ADP
ejpam-4124	141	50	equation	equation	NOUN
ejpam-4124	141	51	(	(	PUNCT
ejpam-4124	141	52	22	22	NUM
ejpam-4124	141	53	)	)	PUNCT
ejpam-4124	141	54	.	.	PUNCT
ejpam-4124	142	1	u′′(x	u′′(x	X
ejpam-4124	142	2	)	)	PUNCT
ejpam-4124	142	3	+	+	NOUN
ejpam-4124	142	4	m(x)u′(x	m(x)u′(x	X
ejpam-4124	142	5	)	)	PUNCT
ejpam-4124	143	1	+	+	CCONJ
ejpam-4124	143	2	n(x)u(x)−	n(x)u(x)−	PROPN
ejpam-4124	143	3	r(x	r(x	PROPN
ejpam-4124	143	4	)	)	PUNCT
ejpam-4124	144	1	≈	≈	PROPN
ejpam-4124	144	2	0	0	NUM
ejpam-4124	144	3	.	.	PUNCT
ejpam-4124	145	1	(	(	PUNCT
ejpam-4124	145	2	22	22	NUM
ejpam-4124	145	3	)	)	PUNCT
ejpam-4124	145	4	substituting	substitute	VERB
ejpam-4124	145	5	the	the	DET
ejpam-4124	145	6	approximate	approximate	ADJ
ejpam-4124	145	7	solutions	solution	NOUN
ejpam-4124	145	8	,	,	PUNCT
ejpam-4124	145	9	s(x	s(x	PROPN
ejpam-4124	145	10	,	,	PUNCT
ejpam-4124	145	11	γ	γ	NOUN
ejpam-4124	145	12	)	)	PUNCT
ejpam-4124	145	13	and	and	CCONJ
ejpam-4124	145	14	its	its	PRON
ejpam-4124	145	15	derivatives	derivative	NOUN
ejpam-4124	145	16	into	into	ADP
ejpam-4124	145	17	(	(	PUNCT
ejpam-4124	145	18	22	22	NUM
ejpam-4124	145	19	)	)	PUNCT
ejpam-4124	145	20	,	,	PUNCT
ejpam-4124	145	21	we	we	PRON
ejpam-4124	145	22	have	have	VERB
ejpam-4124	145	23	s	s	VERB
ejpam-4124	146	1	′′	′′	PROPN
ejpam-4124	146	2	(	(	PUNCT
ejpam-4124	146	3	x	x	PROPN
ejpam-4124	146	4	,	,	PUNCT
ejpam-4124	146	5	γ	γ	NOUN
ejpam-4124	146	6	)	)	PUNCT
ejpam-4124	146	7	+	+	NOUN
ejpam-4124	146	8	m(x)s	m(x)s	X
ejpam-4124	146	9	′	′	NOUN
ejpam-4124	147	1	(	(	PUNCT
ejpam-4124	147	2	x	x	NOUN
ejpam-4124	147	3	,	,	PUNCT
ejpam-4124	147	4	γ	γ	NOUN
ejpam-4124	147	5	)	)	PUNCT
ejpam-4124	147	6	+	+	CCONJ
ejpam-4124	147	7	n(x)s(x	n(x)s(x	NOUN
ejpam-4124	147	8	,	,	PUNCT
ejpam-4124	147	9	γ)−	γ)−	PROPN
ejpam-4124	147	10	r(x	r(x	X
ejpam-4124	147	11	)	)	PUNCT
ejpam-4124	148	1	≈	≈	PROPN
ejpam-4124	148	2	0	0	NUM
ejpam-4124	148	3	(	(	PUNCT
ejpam-4124	148	4	23	23	NUM
ejpam-4124	148	5	)	)	PUNCT
ejpam-4124	148	6	equation	equation	NOUN
ejpam-4124	148	7	(	(	PUNCT
ejpam-4124	148	8	23	23	NUM
ejpam-4124	148	9	)	)	PUNCT
ejpam-4124	148	10	can	can	AUX
ejpam-4124	148	11	be	be	AUX
ejpam-4124	148	12	written	write	VERB
ejpam-4124	148	13	as	as	ADP
ejpam-4124	148	14	of	of	ADP
ejpam-4124	148	15	error	error	NOUN
ejpam-4124	148	16	formula	formula	NOUN
ejpam-4124	148	17	.	.	PUNCT
ejpam-4124	149	1	from	from	ADP
ejpam-4124	149	2	this	this	DET
ejpam-4124	149	3	equation	equation	NOUN
ejpam-4124	149	4	,	,	PUNCT
ejpam-4124	149	5	we	we	PRON
ejpam-4124	149	6	have	have	VERB
ejpam-4124	149	7	d(x	d(x	NOUN
ejpam-4124	149	8	,	,	PUNCT
ejpam-4124	149	9	γ	γ	NOUN
ejpam-4124	149	10	)	)	PUNCT
ejpam-4124	150	1	=	=	SYM
ejpam-4124	150	2	s	s	PART
ejpam-4124	150	3	′′	′′	PROPN
ejpam-4124	150	4	(	(	PUNCT
ejpam-4124	150	5	x	x	PROPN
ejpam-4124	150	6	,	,	PUNCT
ejpam-4124	150	7	γ	γ	NOUN
ejpam-4124	150	8	)	)	PUNCT
ejpam-4124	150	9	+	+	NOUN
ejpam-4124	150	10	m(x)s	m(x)s	X
ejpam-4124	150	11	′	′	NOUN
ejpam-4124	151	1	(	(	PUNCT
ejpam-4124	151	2	x	x	NOUN
ejpam-4124	151	3	,	,	PUNCT
ejpam-4124	151	4	γ	γ	NOUN
ejpam-4124	151	5	)	)	PUNCT
ejpam-4124	151	6	+	+	CCONJ
ejpam-4124	151	7	n(x)s(x	n(x)s(x	NOUN
ejpam-4124	151	8	,	,	PUNCT
ejpam-4124	151	9	γ)−	γ)−	PROPN
ejpam-4124	151	10	r(x	r(x	PROPN
ejpam-4124	151	11	)	)	PUNCT
ejpam-4124	151	12	,	,	PUNCT
ejpam-4124	151	13	x	x	PUNCT
ejpam-4124	151	14	∈	∈	PROPN
ejpam-4124	152	1	[	[	X
ejpam-4124	152	2	x0	x0	PROPN
ejpam-4124	152	3	,	,	PUNCT
ejpam-4124	152	4	xn	xn	PROPN
ejpam-4124	152	5	]	]	PUNCT
ejpam-4124	152	6	which	which	PRON
ejpam-4124	152	7	can	can	AUX
ejpam-4124	152	8	be	be	AUX
ejpam-4124	152	9	expanded	expand	VERB
ejpam-4124	152	10	into	into	ADP
ejpam-4124	152	11	equation	equation	NOUN
ejpam-4124	152	12	(	(	PUNCT
ejpam-4124	152	13	24	24	NUM
ejpam-4124	152	14	)	)	PUNCT
ejpam-4124	152	15	.	.	PUNCT
ejpam-4124	153	1	s	s	VERB
ejpam-4124	154	1	′′	′′	PROPN
ejpam-4124	154	2	i	i	PRON
ejpam-4124	154	3	(	(	PUNCT
ejpam-4124	154	4	x	x	NOUN
ejpam-4124	154	5	,	,	PUNCT
ejpam-4124	154	6	γ	γ	NOUN
ejpam-4124	154	7	)	)	PUNCT
ejpam-4124	155	1	+	+	NOUN
ejpam-4124	155	2	m(x)s	m(x)s	PROPN
ejpam-4124	155	3	′	′	NOUN
ejpam-4124	155	4	i(x	i(x	PROPN
ejpam-4124	155	5	,	,	PUNCT
ejpam-4124	155	6	γ	γ	NOUN
ejpam-4124	155	7	)	)	PUNCT
ejpam-4124	155	8	+	+	SYM
ejpam-4124	155	9	n(x)si(x	n(x)si(x	ADJ
ejpam-4124	155	10	,	,	PUNCT
ejpam-4124	155	11	γ)−	γ)−	PROPN
ejpam-4124	155	12	r(x	r(x	PROPN
ejpam-4124	155	13	)	)	PUNCT
ejpam-4124	155	14	,	,	PUNCT
ejpam-4124	155	15	x	x	PUNCT
ejpam-4124	155	16	∈	∈	PROPN
ejpam-4124	156	1	[	[	X
ejpam-4124	156	2	xi	xi	PROPN
ejpam-4124	156	3	,	,	PUNCT
ejpam-4124	156	4	xi+1	xi+1	PROPN
ejpam-4124	156	5	]	]	PUNCT
ejpam-4124	156	6	,	,	PUNCT
ejpam-4124	156	7	(	(	PUNCT
ejpam-4124	156	8	24	24	NUM
ejpam-4124	156	9	)	)	PUNCT
ejpam-4124	156	10	since	since	SCONJ
ejpam-4124	156	11	equation	equation	NOUN
ejpam-4124	156	12	(	(	PUNCT
ejpam-4124	156	13	24	24	NUM
ejpam-4124	156	14	)	)	PUNCT
ejpam-4124	156	15	is	be	AUX
ejpam-4124	156	16	piecewise	piecewise	NOUN
ejpam-4124	156	17	functions	function	NOUN
ejpam-4124	156	18	with	with	ADP
ejpam-4124	156	19	n	n	ADP
ejpam-4124	156	20	equations	equation	NOUN
ejpam-4124	156	21	,	,	PUNCT
ejpam-4124	156	22	it	it	PRON
ejpam-4124	156	23	is	be	AUX
ejpam-4124	156	24	wise	wise	ADJ
ejpam-4124	156	25	to	to	PART
ejpam-4124	156	26	have	have	VERB
ejpam-4124	156	27	some	some	DET
ejpam-4124	156	28	representatives	representative	NOUN
ejpam-4124	156	29	from	from	ADP
ejpam-4124	156	30	every	every	DET
ejpam-4124	156	31	sub	sub	NOUN
ejpam-4124	156	32	-	-	NOUN
ejpam-4124	156	33	interval	interval	NOUN
ejpam-4124	156	34	.	.	PUNCT
ejpam-4124	157	1	suppose	suppose	VERB
ejpam-4124	157	2	we	we	PRON
ejpam-4124	157	3	have	have	VERB
ejpam-4124	157	4	a	a	DET
ejpam-4124	157	5	sequence	sequence	NOUN
ejpam-4124	157	6	,	,	PUNCT
ejpam-4124	157	7	{	{	PUNCT
ejpam-4124	157	8	x∗i	x∗i	PROPN
ejpam-4124	157	9	}	}	PUNCT
ejpam-4124	157	10	n−1	n−1	PROPN
ejpam-4124	157	11	i=1	i=1	PROPN
ejpam-4124	157	12	,	,	PUNCT
ejpam-4124	157	13	where	where	SCONJ
ejpam-4124	157	14	x	x	PUNCT
ejpam-4124	157	15	∗	∗	VERB
ejpam-4124	157	16	i	i	PRON
ejpam-4124	157	17	∈	∈	PROPN
ejpam-4124	158	1	[	[	X
ejpam-4124	158	2	x0	x0	PROPN
ejpam-4124	158	3	,	,	PUNCT
ejpam-4124	158	4	xn	xn	PROPN
ejpam-4124	158	5	]	]	PUNCT
ejpam-4124	158	6	and	and	CCONJ
ejpam-4124	158	7	m	m	PROPN
ejpam-4124	158	8	∈	∈	NOUN
ejpam-4124	158	9	z+	z+	NUM
ejpam-4124	159	1	such	such	ADJ
ejpam-4124	159	2	that	that	PRON
ejpam-4124	159	3	x∗i	x∗i	PROPN
ejpam-4124	159	4	=	=	SYM
ejpam-4124	159	5	xi+xi+1	xi+xi+1	PROPN
ejpam-4124	159	6	2	2	NUM
ejpam-4124	159	7	,	,	PUNCT
ejpam-4124	159	8	for	for	ADP
ejpam-4124	159	9	i	i	PROPN
ejpam-4124	159	10	=	=	SYM
ejpam-4124	159	11	1	1	NUM
ejpam-4124	159	12	,	,	PUNCT
ejpam-4124	159	13	2	2	NUM
ejpam-4124	159	14	,	,	PUNCT
ejpam-4124	159	15	...	...	PUNCT
ejpam-4124	159	16	,	,	PUNCT
ejpam-4124	159	17	n−	n−	NOUN
ejpam-4124	159	18	1	1	NUM
ejpam-4124	159	19	.	.	PUNCT
ejpam-4124	160	1	evaluating	evaluate	VERB
ejpam-4124	160	2	d(x	d(x	PROPN
ejpam-4124	160	3	,	,	PUNCT
ejpam-4124	160	4	γ	γ	NOUN
ejpam-4124	160	5	)	)	PUNCT
ejpam-4124	160	6	at	at	ADP
ejpam-4124	160	7	{	{	PUNCT
ejpam-4124	160	8	x∗i	x∗i	PROPN
ejpam-4124	160	9	}	}	PUNCT
ejpam-4124	160	10	n−1	n−1	PROPN
ejpam-4124	160	11	i=1	i=1	PROPN
ejpam-4124	160	12	would	would	AUX
ejpam-4124	160	13	produce	produce	VERB
ejpam-4124	160	14	a	a	DET
ejpam-4124	160	15	sequence	sequence	NOUN
ejpam-4124	160	16	of	of	ADP
ejpam-4124	160	17	2n	2n	NUM
ejpam-4124	160	18	expressions	expression	NOUN
ejpam-4124	160	19	containing	contain	VERB
ejpam-4124	160	20	γ	γ	NOUN
ejpam-4124	160	21	,	,	PUNCT
ejpam-4124	160	22	d(x∗i	d(x∗i	NOUN
ejpam-4124	160	23	,	,	PUNCT
ejpam-4124	160	24	γ	γ	NOUN
ejpam-4124	160	25	)	)	PUNCT
ejpam-4124	160	26	,	,	PUNCT
ejpam-4124	160	27	x	x	PUNCT
ejpam-4124	160	28	∈	∈	PROPN
ejpam-4124	161	1	[	[	X
ejpam-4124	161	2	xi	xi	PROPN
ejpam-4124	161	3	,	,	PUNCT
ejpam-4124	161	4	xi+1	xi+1	PROPN
ejpam-4124	161	5	]	]	X
ejpam-4124	161	6	(	(	PUNCT
ejpam-4124	161	7	25	25	NUM
ejpam-4124	161	8	)	)	PUNCT
ejpam-4124	161	9	by	by	ADP
ejpam-4124	161	10	handling	handle	VERB
ejpam-4124	161	11	equations	equation	NOUN
ejpam-4124	161	12	(	(	PUNCT
ejpam-4124	161	13	25	25	NUM
ejpam-4124	161	14	)	)	PUNCT
ejpam-4124	161	15	as	as	ADP
ejpam-4124	161	16	the	the	DET
ejpam-4124	161	17	error	error	NOUN
ejpam-4124	161	18	at	at	ADP
ejpam-4124	161	19	collocation	collocation	NOUN
ejpam-4124	161	20	points	point	NOUN
ejpam-4124	161	21	,	,	PUNCT
ejpam-4124	161	22	the	the	DET
ejpam-4124	161	23	expressions	expression	NOUN
ejpam-4124	161	24	are	be	AUX
ejpam-4124	161	25	combined	combine	VERB
ejpam-4124	161	26	using	use	VERB
ejpam-4124	161	27	the	the	DET
ejpam-4124	161	28	two	two	NUM
ejpam-4124	161	29	-	-	PUNCT
ejpam-4124	161	30	norm	norm	NOUN
ejpam-4124	161	31	formula	formula	NOUN
ejpam-4124	161	32	resulting	result	VERB
ejpam-4124	161	33	equation	equation	NOUN
ejpam-4124	161	34	(	(	PUNCT
ejpam-4124	161	35	26	26	NUM
ejpam-4124	161	36	)	)	PUNCT
ejpam-4124	161	37	.	.	PUNCT
ejpam-4124	162	1	we	we	PRON
ejpam-4124	162	2	hope	hope	VERB
ejpam-4124	162	3	to	to	PART
ejpam-4124	162	4	minimize	minimize	VERB
ejpam-4124	162	5	d1(γ	d1(γ	NOUN
ejpam-4124	162	6	)	)	PUNCT
ejpam-4124	162	7	norm	norm	NOUN
ejpam-4124	162	8	as	as	SCONJ
ejpam-4124	162	9	follows	follow	VERB
ejpam-4124	162	10	:	:	PUNCT
ejpam-4124	162	11	d1(γ	d1(γ	ADJ
ejpam-4124	162	12	)	)	PUNCT
ejpam-4124	163	1	=	=	VERB
ejpam-4124	163	2	√√√√n−1∑	√√√√n−1∑	ADP
ejpam-4124	163	3	i=1	i=1	PROPN
ejpam-4124	163	4	(	(	PUNCT
ejpam-4124	163	5	d(x∗i	d(x∗i	PROPN
ejpam-4124	163	6	)	)	PUNCT
ejpam-4124	163	7	,	,	PUNCT
ejpam-4124	163	8	γ	γ	NOUN
ejpam-4124	163	9	)	)	PUNCT
ejpam-4124	163	10	2	2	NUM
ejpam-4124	163	11	(	(	PUNCT
ejpam-4124	163	12	26	26	NUM
ejpam-4124	163	13	)	)	PUNCT
ejpam-4124	163	14	also	also	ADV
ejpam-4124	163	15	,	,	PUNCT
ejpam-4124	163	16	from	from	ADP
ejpam-4124	163	17	equation	equation	NOUN
ejpam-4124	163	18	(	(	PUNCT
ejpam-4124	163	19	26	26	NUM
ejpam-4124	163	20	)	)	PUNCT
ejpam-4124	163	21	we	we	PRON
ejpam-4124	163	22	can	can	AUX
ejpam-4124	163	23	obtain	obtain	VERB
ejpam-4124	163	24	d2(γ	d2(γ	NOUN
ejpam-4124	163	25	)	)	PUNCT
ejpam-4124	163	26	which	which	PRON
ejpam-4124	163	27	is	be	AUX
ejpam-4124	163	28	assumed	assume	VERB
ejpam-4124	163	29	to	to	PART
ejpam-4124	163	30	be	be	AUX
ejpam-4124	163	31	easier	easy	ADJ
ejpam-4124	163	32	to	to	PART
ejpam-4124	163	33	calculate	calculate	VERB
ejpam-4124	163	34	than	than	ADP
ejpam-4124	163	35	the	the	DET
ejpam-4124	163	36	former	former	ADJ
ejpam-4124	163	37	.	.	PUNCT
ejpam-4124	164	1	d2(γ	d2(γ	NOUN
ejpam-4124	164	2	)	)	PUNCT
ejpam-4124	165	1	=	=	SYM
ejpam-4124	165	2	n−1∑	n−1∑	PROPN
ejpam-4124	165	3	i=1	i=1	PROPN
ejpam-4124	165	4	(	(	PUNCT
ejpam-4124	165	5	d(x∗i	d(x∗i	NOUN
ejpam-4124	165	6	,	,	PUNCT
ejpam-4124	165	7	γ	γ	NOUN
ejpam-4124	165	8	)	)	PUNCT
ejpam-4124	165	9	)	)	PUNCT
ejpam-4124	165	10	2	2	NUM
ejpam-4124	165	11	(	(	PUNCT
ejpam-4124	165	12	27	27	NUM
ejpam-4124	165	13	)	)	PUNCT
ejpam-4124	165	14	on	on	ADP
ejpam-4124	165	15	the	the	DET
ejpam-4124	165	16	other	other	ADJ
ejpam-4124	165	17	hand	hand	NOUN
ejpam-4124	165	18	,	,	PUNCT
ejpam-4124	165	19	we	we	PRON
ejpam-4124	165	20	can	can	AUX
ejpam-4124	165	21	combine	combine	VERB
ejpam-4124	165	22	the	the	DET
ejpam-4124	165	23	expressions	expression	NOUN
ejpam-4124	165	24	using	use	VERB
ejpam-4124	165	25	one	one	NUM
ejpam-4124	165	26	-	-	PUNCT
ejpam-4124	165	27	norm	norm	NOUN
ejpam-4124	165	28	formula	formula	NOUN
ejpam-4124	165	29	,	,	PUNCT
ejpam-4124	165	30	as	as	ADP
ejpam-4124	165	31	in	in	ADP
ejpam-4124	165	32	equation	equation	NOUN
ejpam-4124	165	33	(	(	PUNCT
ejpam-4124	165	34	28	28	NUM
ejpam-4124	165	35	)	)	PUNCT
ejpam-4124	165	36	.	.	PUNCT
ejpam-4124	166	1	d3(γ	d3(γ	X
ejpam-4124	166	2	)	)	PUNCT
ejpam-4124	166	3	=	=	PRON
ejpam-4124	167	1	n−1∑	n−1∑	PROPN
ejpam-4124	167	2	i=1	i=1	PROPN
ejpam-4124	167	3	|d(x∗i	|d(x∗i	PROPN
ejpam-4124	167	4	,	,	PUNCT
ejpam-4124	167	5	γ)|	γ)|	NOUN
ejpam-4124	167	6	(	(	PUNCT
ejpam-4124	167	7	28	28	NUM
ejpam-4124	167	8	)	)	PUNCT
ejpam-4124	167	9	this	this	PRON
ejpam-4124	167	10	is	be	AUX
ejpam-4124	167	11	done	do	VERB
ejpam-4124	167	12	to	to	PART
ejpam-4124	167	13	make	make	VERB
ejpam-4124	167	14	comparisons	comparison	NOUN
ejpam-4124	167	15	between	between	ADP
ejpam-4124	167	16	results	result	NOUN
ejpam-4124	167	17	of	of	ADP
ejpam-4124	167	18	d1(γ	d1(γ	NOUN
ejpam-4124	167	19	)	)	PUNCT
ejpam-4124	167	20	,	,	PUNCT
ejpam-4124	167	21	d2(γ	d2(γ	NOUN
ejpam-4124	167	22	)	)	PUNCT
ejpam-4124	167	23	,	,	PUNCT
ejpam-4124	167	24	and	and	CCONJ
ejpam-4124	167	25	d3(γ	d3(γ	X
ejpam-4124	167	26	)	)	PUNCT
ejpam-4124	167	27	in	in	ADP
ejpam-4124	167	28	terms	term	NOUN
ejpam-4124	167	29	of	of	ADP
ejpam-4124	167	30	computational	computational	ADJ
ejpam-4124	167	31	time	time	NOUN
ejpam-4124	167	32	and	and	CCONJ
ejpam-4124	167	33	accuracy	accuracy	NOUN
ejpam-4124	167	34	.	.	PUNCT
ejpam-4124	168	1	d3(γ	d3(γ	X
ejpam-4124	168	2	)	)	PUNCT
ejpam-4124	168	3	is	be	AUX
ejpam-4124	168	4	significantly	significantly	ADV
ejpam-4124	168	5	more	more	ADV
ejpam-4124	168	6	simplified	simplified	ADJ
ejpam-4124	169	1	that	that	SCONJ
ejpam-4124	169	2	the	the	DET
ejpam-4124	169	3	other	other	ADJ
ejpam-4124	169	4	a.	a.	PROPN
ejpam-4124	169	5	s.	s.	PROPN
ejpam-4124	169	6	heilat	heilat	PROPN
ejpam-4124	169	7	et	et	PROPN
ejpam-4124	169	8	al	al	PROPN
ejpam-4124	169	9	.	.	PUNCT
ejpam-4124	169	10	/	/	SYM
ejpam-4124	169	11	eur	eur	PROPN
ejpam-4124	169	12	.	.	PUNCT
ejpam-4124	170	1	j.	j.	PROPN
ejpam-4124	170	2	pure	pure	PROPN
ejpam-4124	170	3	appl	appl	PROPN
ejpam-4124	170	4	.	.	PROPN
ejpam-4124	170	5	math	math	PROPN
ejpam-4124	170	6	,	,	PUNCT
ejpam-4124	170	7	14	14	NUM
ejpam-4124	170	8	(	(	PUNCT
ejpam-4124	170	9	4	4	NUM
ejpam-4124	170	10	)	)	PUNCT
ejpam-4124	170	11	(	(	PUNCT
ejpam-4124	170	12	2021	2021	NUM
ejpam-4124	170	13	)	)	PUNCT
ejpam-4124	170	14	,	,	PUNCT
ejpam-4124	170	15	1283	1283	NUM
ejpam-4124	170	16	-	-	SYM
ejpam-4124	170	17	1294	1294	NUM
ejpam-4124	170	18	1289	1289	NUM
ejpam-4124	170	19	two	two	NUM
ejpam-4124	170	20	.	.	PUNCT
ejpam-4124	171	1	by	by	ADP
ejpam-4124	171	2	using	use	VERB
ejpam-4124	171	3	mathematica	mathematica	PROPN
ejpam-4124	171	4	,	,	PUNCT
ejpam-4124	171	5	we	we	PRON
ejpam-4124	171	6	can	can	AUX
ejpam-4124	171	7	find	find	VERB
ejpam-4124	171	8	the	the	DET
ejpam-4124	171	9	value	value	NOUN
ejpam-4124	171	10	of	of	ADP
ejpam-4124	171	11	γ	γ	PROPN
ejpam-4124	171	12	depends	depend	VERB
ejpam-4124	171	13	on	on	ADP
ejpam-4124	171	14	equations	equation	NOUN
ejpam-4124	171	15	(	(	PUNCT
ejpam-4124	171	16	26	26	NUM
ejpam-4124	171	17	)	)	PUNCT
ejpam-4124	171	18	,	,	PUNCT
ejpam-4124	171	19	(	(	PUNCT
ejpam-4124	171	20	27	27	NUM
ejpam-4124	171	21	)	)	PUNCT
ejpam-4124	171	22	,	,	PUNCT
ejpam-4124	171	23	and	and	CCONJ
ejpam-4124	171	24	(	(	PUNCT
ejpam-4124	171	25	28	28	NUM
ejpam-4124	171	26	)	)	PUNCT
ejpam-4124	171	27	as	as	SCONJ
ejpam-4124	171	28	follows	follow	VERB
ejpam-4124	171	29	:	:	PUNCT
ejpam-4124	171	30	d1(γ	d1(γ	ADJ
ejpam-4124	171	31	)	)	PUNCT
ejpam-4124	171	32	=	=	VERB
ejpam-4124	172	1	√√√√n−1∑	√√√√n−1∑	ADP
ejpam-4124	172	2	i=1	i=1	PROPN
ejpam-4124	172	3	(	(	PUNCT
ejpam-4124	172	4	d(x∗i	d(x∗i	PROPN
ejpam-4124	172	5	)	)	PUNCT
ejpam-4124	172	6	,	,	PUNCT
ejpam-4124	172	7	γ	γ	NOUN
ejpam-4124	172	8	)	)	PUNCT
ejpam-4124	172	9	2	2	NUM
ejpam-4124	172	10	=	=	SYM
ejpam-4124	172	11	0	0	NUM
ejpam-4124	172	12	d2(γ	d2(γ	NOUN
ejpam-4124	172	13	)	)	PUNCT
ejpam-4124	172	14	=	=	SYM
ejpam-4124	173	1	n−1∑	n−1∑	PROPN
ejpam-4124	173	2	i=1	i=1	PROPN
ejpam-4124	173	3	(	(	PUNCT
ejpam-4124	173	4	d(x∗i	d(x∗i	NOUN
ejpam-4124	173	5	,	,	PUNCT
ejpam-4124	173	6	γ	γ	NOUN
ejpam-4124	173	7	)	)	PUNCT
ejpam-4124	173	8	)	)	PUNCT
ejpam-4124	173	9	2	2	NUM
ejpam-4124	173	10	=	=	SYM
ejpam-4124	173	11	0	0	NUM
ejpam-4124	173	12	d3(γ	d3(γ	NOUN
ejpam-4124	173	13	)	)	PUNCT
ejpam-4124	173	14	=	=	SYM
ejpam-4124	173	15	n−1∑	n−1∑	PROPN
ejpam-4124	173	16	i=1	i=1	PROPN
ejpam-4124	173	17	|d(x∗i	|d(x∗i	ADJ
ejpam-4124	173	18	,	,	PUNCT
ejpam-4124	173	19	γ)|	γ)|	NOUN
ejpam-4124	173	20	=	=	SYM
ejpam-4124	173	21	0	0	NUM
ejpam-4124	174	1	finally	finally	ADV
ejpam-4124	174	2	,	,	PUNCT
ejpam-4124	174	3	the	the	DET
ejpam-4124	174	4	values	value	NOUN
ejpam-4124	174	5	of	of	ADP
ejpam-4124	174	6	γ	γ	PROPN
ejpam-4124	174	7	and	and	CCONJ
ejpam-4124	174	8	ci	ci	PROPN
ejpam-4124	174	9	can	can	AUX
ejpam-4124	174	10	be	be	AUX
ejpam-4124	174	11	obtained	obtain	VERB
ejpam-4124	174	12	for	for	ADP
ejpam-4124	174	13	i	i	PROPN
ejpam-4124	174	14	=	=	NOUN
ejpam-4124	174	15	1	1	NUM
ejpam-4124	174	16	,	,	PUNCT
ejpam-4124	174	17	2	2	NUM
ejpam-4124	174	18	,	,	PUNCT
ejpam-4124	174	19	...	...	PUNCT
ejpam-4124	174	20	,	,	PUNCT
ejpam-4124	174	21	n−	n−	NOUN
ejpam-4124	174	22	1	1	NUM
ejpam-4124	174	23	.	.	PUNCT
ejpam-4124	175	1	thus	thus	ADV
ejpam-4124	175	2	,	,	PUNCT
ejpam-4124	175	3	the	the	DET
ejpam-4124	175	4	solutions	solution	NOUN
ejpam-4124	175	5	for	for	ADP
ejpam-4124	175	6	each	each	DET
ejpam-4124	175	7	knot	knot	NOUN
ejpam-4124	175	8	,	,	PUNCT
ejpam-4124	175	9	xi	xi	X
ejpam-4124	175	10	,	,	PUNCT
ejpam-4124	175	11	can	can	AUX
ejpam-4124	175	12	be	be	AUX
ejpam-4124	175	13	obtained	obtain	VERB
ejpam-4124	175	14	from	from	ADP
ejpam-4124	175	15	equation	equation	NOUN
ejpam-4124	175	16	(	(	PUNCT
ejpam-4124	175	17	1	1	NUM
ejpam-4124	175	18	)	)	PUNCT
ejpam-4124	175	19	.	.	PUNCT
ejpam-4124	176	1	5	5	X
ejpam-4124	176	2	.	.	X
ejpam-4124	176	3	numerical	numerical	ADJ
ejpam-4124	176	4	examples	example	NOUN
ejpam-4124	176	5	and	and	CCONJ
ejpam-4124	176	6	discussions	discussion	NOUN
ejpam-4124	176	7	hcbsm	hcbsm	ADJ
ejpam-4124	176	8	was	be	AUX
ejpam-4124	176	9	applied	apply	VERB
ejpam-4124	176	10	on	on	ADP
ejpam-4124	176	11	examples	example	NOUN
ejpam-4124	176	12	1	1	NUM
ejpam-4124	176	13	-	-	SYM
ejpam-4124	176	14	4	4	NUM
ejpam-4124	176	15	with	with	ADP
ejpam-4124	176	16	n	n	NOUN
ejpam-4124	176	17	=	=	SYM
ejpam-4124	176	18	10	10	NUM
ejpam-4124	176	19	and	and	CCONJ
ejpam-4124	176	20	the	the	DET
ejpam-4124	176	21	results	result	NOUN
ejpam-4124	176	22	are	be	AUX
ejpam-4124	176	23	compared	compare	VERB
ejpam-4124	176	24	with	with	ADP
ejpam-4124	176	25	the	the	DET
ejpam-4124	176	26	analytical	analytical	ADJ
ejpam-4124	176	27	solutions	solution	NOUN
ejpam-4124	176	28	.	.	PUNCT
ejpam-4124	177	1	norms	norm	NOUN
ejpam-4124	177	2	of	of	ADP
ejpam-4124	177	3	the	the	DET
ejpam-4124	177	4	results	result	NOUN
ejpam-4124	177	5	are	be	AUX
ejpam-4124	177	6	found	find	VERB
ejpam-4124	177	7	numerically	numerically	ADV
ejpam-4124	177	8	by	by	ADP
ejpam-4124	177	9	the	the	DET
ejpam-4124	177	10	following	follow	VERB
ejpam-4124	177	11	formulas	formula	NOUN
ejpam-4124	177	12	:	:	PUNCT
ejpam-4124	177	13	l∞	l∞	NOUN
ejpam-4124	177	14	=	=	SYM
ejpam-4124	177	15	n−1	n−1	PROPN
ejpam-4124	177	16	max	max	PROPN
ejpam-4124	177	17	i=1	i=1	PROPN
ejpam-4124	178	1	|	|	ADV
ejpam-4124	178	2	s(xi)−	s(xi)−	X
ejpam-4124	178	3	u(xi	u(xi	NOUN
ejpam-4124	178	4	)	)	PUNCT
ejpam-4124	178	5	|	|	ADV
ejpam-4124	178	6	,	,	PUNCT
ejpam-4124	178	7	l2	l2	NOUN
ejpam-4124	178	8	=	=	PUNCT
ejpam-4124	178	9	√√√√n−1∑	√√√√n−1∑	ADP
ejpam-4124	178	10	i=1	i=1	PROPN
ejpam-4124	179	1	[	[	X
ejpam-4124	179	2	s(xi)−	s(xi)−	X
ejpam-4124	179	3	u(xi)]2	u(xi)]2	ADJ
ejpam-4124	179	4	example	example	NOUN
ejpam-4124	179	5	1	1	NUM
ejpam-4124	179	6	.	.	PUNCT
ejpam-4124	180	1	[	[	X
ejpam-4124	180	2	15	15	NUM
ejpam-4124	180	3	]	]	X
ejpam-4124	180	4	{	{	PUNCT
ejpam-4124	180	5	u′′(x)−	u′′(x)−	NOUN
ejpam-4124	180	6	u′(x	u′(x	SYM
ejpam-4124	180	7	)	)	PUNCT
ejpam-4124	180	8	=	=	NOUN
ejpam-4124	180	9	−ex−1	−ex−1	X
ejpam-4124	180	10	−	−	PROPN
ejpam-4124	180	11	1	1	NUM
ejpam-4124	180	12	,	,	PUNCT
ejpam-4124	180	13	0	0	NUM
ejpam-4124	180	14	≤	≤	NUM
ejpam-4124	180	15	x	x	SYM
ejpam-4124	180	16	≤	≤	NUM
ejpam-4124	180	17	1	1	NUM
ejpam-4124	180	18	u(0	u(0	NOUN
ejpam-4124	180	19	)	)	PUNCT
ejpam-4124	180	20	=	=	SYM
ejpam-4124	180	21	0	0	NUM
ejpam-4124	180	22	,	,	PUNCT
ejpam-4124	180	23	u(1	u(1	PROPN
ejpam-4124	180	24	)	)	PUNCT
ejpam-4124	180	25	=	=	SYM
ejpam-4124	180	26	0	0	NUM
ejpam-4124	180	27	(	(	PUNCT
ejpam-4124	180	28	29	29	NUM
ejpam-4124	180	29	)	)	PUNCT
ejpam-4124	180	30	the	the	DET
ejpam-4124	180	31	analytical	analytical	ADJ
ejpam-4124	180	32	solution	solution	NOUN
ejpam-4124	180	33	is	be	AUX
ejpam-4124	180	34	u(x	u(x	NOUN
ejpam-4124	180	35	)	)	PUNCT
ejpam-4124	181	1	=	=	SYM
ejpam-4124	181	2	x(1−	x(1−	PROPN
ejpam-4124	181	3	ex−1	ex−1	PROPN
ejpam-4124	181	4	)	)	PUNCT
ejpam-4124	181	5	.	.	PUNCT
ejpam-4124	182	1	the	the	DET
ejpam-4124	182	2	results	result	NOUN
ejpam-4124	182	3	for	for	ADP
ejpam-4124	182	4	examples	example	NOUN
ejpam-4124	182	5	1	1	NUM
ejpam-4124	182	6	,	,	PUNCT
ejpam-4124	182	7	2	2	NUM
ejpam-4124	182	8	,	,	PUNCT
ejpam-4124	182	9	3	3	NUM
ejpam-4124	182	10	,	,	PUNCT
ejpam-4124	182	11	and	and	CCONJ
ejpam-4124	182	12	4	4	NUM
ejpam-4124	182	13	are	be	AUX
ejpam-4124	182	14	shown	show	VERB
ejpam-4124	182	15	in	in	ADP
ejpam-4124	182	16	tables	table	NOUN
ejpam-4124	182	17	2	2	NUM
ejpam-4124	182	18	,	,	PUNCT
ejpam-4124	182	19	3	3	NUM
ejpam-4124	182	20	,	,	PUNCT
ejpam-4124	182	21	4	4	NUM
ejpam-4124	182	22	,	,	PUNCT
ejpam-4124	182	23	and	and	CCONJ
ejpam-4124	182	24	5	5	NUM
ejpam-4124	182	25	and	and	CCONJ
ejpam-4124	182	26	figures	figure	NOUN
ejpam-4124	182	27	1	1	NUM
ejpam-4124	182	28	,	,	PUNCT
ejpam-4124	182	29	2	2	NUM
ejpam-4124	182	30	,	,	PUNCT
ejpam-4124	182	31	3	3	NUM
ejpam-4124	182	32	,	,	PUNCT
ejpam-4124	182	33	and	and	CCONJ
ejpam-4124	182	34	4	4	NUM
ejpam-4124	182	35	,	,	PUNCT
ejpam-4124	182	36	respectively	respectively	ADV
ejpam-4124	182	37	.	.	PUNCT
ejpam-4124	183	1	we	we	PRON
ejpam-4124	183	2	found	find	VERB
ejpam-4124	183	3	that	that	SCONJ
ejpam-4124	183	4	our	our	PRON
ejpam-4124	183	5	method	method	NOUN
ejpam-4124	183	6	produced	produce	VERB
ejpam-4124	183	7	much	much	ADV
ejpam-4124	183	8	more	more	ADV
ejpam-4124	183	9	accurate	accurate	ADJ
ejpam-4124	183	10	results	result	NOUN
ejpam-4124	183	11	than	than	ADP
ejpam-4124	183	12	the	the	DET
ejpam-4124	183	13	cbsm	cbsm	NOUN
ejpam-4124	184	1	[	[	X
ejpam-4124	184	2	15	15	NUM
ejpam-4124	184	3	]	]	PUNCT
ejpam-4124	184	4	,	,	PUNCT
ejpam-4124	184	5	tcbsm	tcbsm	X
ejpam-4124	185	1	[	[	X
ejpam-4124	185	2	16	16	NUM
ejpam-4124	185	3	]	]	PUNCT
ejpam-4124	185	4	,	,	PUNCT
ejpam-4124	185	5	and	and	CCONJ
ejpam-4124	185	6	ecbsm	ecbsm	VERB
ejpam-4124	185	7	[	[	X
ejpam-4124	185	8	23	23	NUM
ejpam-4124	185	9	]	]	PUNCT
ejpam-4124	185	10	.	.	PUNCT
ejpam-4124	186	1	table	table	NOUN
ejpam-4124	186	2	2	2	NUM
ejpam-4124	186	3	:	:	PUNCT
ejpam-4124	186	4	absolute	absolute	ADJ
ejpam-4124	186	5	errors	error	NOUN
ejpam-4124	186	6	and	and	CCONJ
ejpam-4124	186	7	norms	norm	NOUN
ejpam-4124	186	8	of	of	ADP
ejpam-4124	186	9	cbsm	cbsm	PROPN
ejpam-4124	187	1	[	[	X
ejpam-4124	187	2	15	15	NUM
ejpam-4124	187	3	]	]	PUNCT
ejpam-4124	187	4	,	,	PUNCT
ejpam-4124	187	5	tcbsm	tcbsm	X
ejpam-4124	188	1	[	[	X
ejpam-4124	188	2	16	16	NUM
ejpam-4124	188	3	]	]	PUNCT
ejpam-4124	188	4	,	,	PUNCT
ejpam-4124	188	5	ecbsm	ecbsm	VERB
ejpam-4124	188	6	[	[	X
ejpam-4124	188	7	23	23	NUM
ejpam-4124	188	8	]	]	PUNCT
ejpam-4124	188	9	,	,	PUNCT
ejpam-4124	188	10	and	and	CCONJ
ejpam-4124	188	11	hcbsm	hcbsm	NOUN
ejpam-4124	188	12	for	for	ADP
ejpam-4124	188	13	example	example	NOUN
ejpam-4124	188	14	1	1	NUM
ejpam-4124	188	15	with	with	ADP
ejpam-4124	188	16	n	n	NOUN
ejpam-4124	188	17	=	=	SYM
ejpam-4124	188	18	10	10	NUM
ejpam-4124	188	19	x	x	PROPN
ejpam-4124	188	20	cbsm	cbsm	PROPN
ejpam-4124	188	21	tcbsm	tcbsm	PROPN
ejpam-4124	188	22	ecbsm	ecbsm	VERB
ejpam-4124	188	23	hcbsm	hcbsm	NOUN
ejpam-4124	188	24	(	(	PUNCT
ejpam-4124	188	25	λ	λ	X
ejpam-4124	188	26	=	=	SYM
ejpam-4124	188	27	2.9375e	2.9375e	PROPN
ejpam-4124	188	28	−	−	PROPN
ejpam-4124	188	29	03	03	NUM
ejpam-4124	188	30	)	)	PUNCT
ejpam-4124	188	31	(	(	PUNCT
ejpam-4124	188	32	γ	γ	X
ejpam-4124	188	33	=	=	SYM
ejpam-4124	188	34	1.73125	1.73125	NUM
ejpam-4124	188	35	)	)	PUNCT
ejpam-4124	188	36	0.1	0.1	NUM
ejpam-4124	188	37	7.531e	7.531e	NUM
ejpam-4124	188	38	−	−	NOUN
ejpam-4124	188	39	05	05	NUM
ejpam-4124	189	1	1.756e	1.756e	NUM
ejpam-4124	189	2	−	−	NOUN
ejpam-4124	189	3	04	04	NUM
ejpam-4124	189	4	2.996e	2.996e	NUM
ejpam-4124	189	5	−	−	NUM
ejpam-4124	189	6	06	06	NUM
ejpam-4124	189	7	1.568e	1.568e	NUM
ejpam-4124	189	8	−	−	NOUN
ejpam-4124	189	9	07	07	NUM
ejpam-4124	189	10	0.2	0.2	NUM
ejpam-4124	189	11	1.439e	1.439e	NUM
ejpam-4124	189	12	−	−	NOUN
ejpam-4124	189	13	04	04	NUM
ejpam-4124	190	1	3.369e	3.369e	NUM
ejpam-4124	190	2	−	−	NOUN
ejpam-4124	190	3	04	04	NUM
ejpam-4124	190	4	4.896e	4.896e	NUM
ejpam-4124	190	5	−	−	PROPN
ejpam-4124	190	6	06	06	NUM
ejpam-4124	191	1	2.264e	2.264e	NUM
ejpam-4124	191	2	−	−	NOUN
ejpam-4124	191	3	07	07	NUM
ejpam-4124	191	4	0.3	0.3	NUM
ejpam-4124	191	5	2.031e	2.031e	NUM
ejpam-4124	191	6	−	−	NOUN
ejpam-4124	191	7	04	04	NUM
ejpam-4124	191	8	4.772e	4.772e	NUM
ejpam-4124	191	9	−	−	NOUN
ejpam-4124	191	10	04	04	NUM
ejpam-4124	192	1	5.739e	5.739e	NOUN
ejpam-4124	192	2	−	−	PROPN
ejpam-4124	192	3	06	06	NUM
ejpam-4124	192	4	2.062e	2.062e	NUM
ejpam-4124	192	5	−	−	NOUN
ejpam-4124	192	6	07	07	NUM
ejpam-4124	192	7	0.4	0.4	NUM
ejpam-4124	192	8	2.499e	2.499e	NUM
ejpam-4124	192	9	−	−	PROPN
ejpam-4124	192	10	04	04	NUM
ejpam-4124	192	11	5.890e	5.890e	NUM
ejpam-4124	192	12	−	−	NOUN
ejpam-4124	192	13	04	04	NUM
ejpam-4124	193	1	5.611e	5.611e	NUM
ejpam-4124	193	2	−	−	NUM
ejpam-4124	193	3	06	06	NUM
ejpam-4124	193	4	1.022e	1.022e	NUM
ejpam-4124	193	5	−	−	NOUN
ejpam-4124	193	6	07	07	NUM
ejpam-4124	193	7	0.5	0.5	NUM
ejpam-4124	193	8	2.803e	2.803e	NUM
ejpam-4124	193	9	−	−	NOUN
ejpam-4124	193	10	04	04	NUM
ejpam-4124	193	11	6.633e	6.633e	NUM
ejpam-4124	193	12	−	−	NOUN
ejpam-4124	193	13	04	04	NUM
ejpam-4124	194	1	4.668e	4.668e	NUM
ejpam-4124	194	2	−	−	PROPN
ejpam-4124	194	3	06	06	NUM
ejpam-4124	195	1	6.743e	6.743e	NOUN
ejpam-4124	195	2	−	−	PROPN
ejpam-4124	195	3	07	07	NUM
ejpam-4124	195	4	0.6	0.6	NUM
ejpam-4124	195	5	2.900e	2.900e	PROPN
ejpam-4124	195	6	−	−	PROPN
ejpam-4124	195	7	04	04	NUM
ejpam-4124	195	8	6.890e	6.890e	NUM
ejpam-4124	195	9	−	−	NOUN
ejpam-4124	195	10	04	04	NUM
ejpam-4124	196	1	3.144e	3.144e	NUM
ejpam-4124	196	2	−	−	PROPN
ejpam-4124	196	3	06	06	NUM
ejpam-4124	197	1	2.696e	2.696e	NUM
ejpam-4124	197	2	−	−	PROPN
ejpam-4124	197	3	07	07	NUM
ejpam-4124	197	4	0.7	0.7	NUM
ejpam-4124	197	5	2.736e	2.736e	NUM
ejpam-4124	197	6	−	−	PROPN
ejpam-4124	197	7	04	04	NUM
ejpam-4124	197	8	6.528e	6.528e	NOUN
ejpam-4124	197	9	−	−	PROPN
ejpam-4124	197	10	04	04	NUM
ejpam-4124	197	11	1.375e	1.375e	NUM
ejpam-4124	197	12	−	−	PROPN
ejpam-4124	197	13	06	06	NUM
ejpam-4124	198	1	4.527e	4.527e	NOUN
ejpam-4124	198	2	−	−	PROPN
ejpam-4124	198	3	07	07	NUM
ejpam-4124	198	4	0.8	0.8	NUM
ejpam-4124	198	5	2.249e	2.249e	NUM
ejpam-4124	198	6	−	−	NOUN
ejpam-4124	198	7	04	04	NUM
ejpam-4124	199	1	5.390e	5.390e	NUM
ejpam-4124	199	2	−	−	NUM
ejpam-4124	199	3	04	04	NUM
ejpam-4124	200	1	1.776e	1.776e	NUM
ejpam-4124	200	2	−	−	PROPN
ejpam-4124	200	3	07	07	NUM
ejpam-4124	200	4	5.425e	5.425e	NUM
ejpam-4124	200	5	−	−	NOUN
ejpam-4124	200	6	07	07	NUM
ejpam-4124	200	7	0.9	0.9	NUM
ejpam-4124	200	8	1.366e	1.366e	NUM
ejpam-4124	200	9	−	−	NOUN
ejpam-4124	200	10	04	04	NUM
ejpam-4124	200	11	3.288e	3.288e	NUM
ejpam-4124	200	12	−	−	PROPN
ejpam-4124	200	13	04	04	NUM
ejpam-4124	200	14	9.013e	9.013e	NUM
ejpam-4124	200	15	−	−	PROPN
ejpam-4124	200	16	07	07	NUM
ejpam-4124	200	17	4.369e	4.369e	NUM
ejpam-4124	200	18	−	−	PROPN
ejpam-4124	200	19	07	07	NUM
ejpam-4124	200	20	l∞	l∞	NOUN
ejpam-4124	200	21	2.900e	2.900e	NUM
ejpam-4124	200	22	−	−	PROPN
ejpam-4124	200	23	04	04	NUM
ejpam-4124	200	24	6.890e	6.890e	NUM
ejpam-4124	200	25	−	−	NOUN
ejpam-4124	200	26	04	04	NUM
ejpam-4124	201	1	5.739e	5.739e	NOUN
ejpam-4124	201	2	−	−	PROPN
ejpam-4124	201	3	06	06	NUM
ejpam-4124	202	1	5.425e	5.425e	NUM
ejpam-4124	202	2	−	−	PROPN
ejpam-4124	202	3	07	07	NUM
ejpam-4124	202	4	l2	l2	NOUN
ejpam-4124	202	5	6.609e	6.609e	NUM
ejpam-4124	202	6	−	−	NUM
ejpam-4124	202	7	04	04	NUM
ejpam-4124	202	8	1.568e	1.568e	NUM
ejpam-4124	202	9	−	−	NOUN
ejpam-4124	202	10	03	03	NUM
ejpam-4124	203	1	1.148e	1.148e	NUM
ejpam-4124	204	1	−	−	NOUN
ejpam-4124	205	1	05	05	NUM
ejpam-4124	206	1	9.466e	9.466e	NUM
ejpam-4124	206	2	−	−	NOUN
ejpam-4124	206	3	07	07	NUM
ejpam-4124	206	4	a.	a.	PROPN
ejpam-4124	206	5	s.	s.	PROPN
ejpam-4124	206	6	heilat	heilat	PROPN
ejpam-4124	206	7	et	et	PROPN
ejpam-4124	206	8	al	al	PROPN
ejpam-4124	206	9	.	.	PUNCT
ejpam-4124	206	10	/	/	SYM
ejpam-4124	206	11	eur	eur	PROPN
ejpam-4124	206	12	.	.	PUNCT
ejpam-4124	207	1	j.	j.	PROPN
ejpam-4124	207	2	pure	pure	PROPN
ejpam-4124	207	3	appl	appl	PROPN
ejpam-4124	207	4	.	.	PROPN
ejpam-4124	207	5	math	math	PROPN
ejpam-4124	207	6	,	,	PUNCT
ejpam-4124	207	7	14	14	NUM
ejpam-4124	207	8	(	(	PUNCT
ejpam-4124	207	9	4	4	NUM
ejpam-4124	207	10	)	)	PUNCT
ejpam-4124	207	11	(	(	PUNCT
ejpam-4124	207	12	2021	2021	NUM
ejpam-4124	207	13	)	)	PUNCT
ejpam-4124	207	14	,	,	PUNCT
ejpam-4124	207	15	1283	1283	NUM
ejpam-4124	207	16	-	-	SYM
ejpam-4124	207	17	1294	1294	NUM
ejpam-4124	207	18	1290	1290	NUM
ejpam-4124	207	19	figure	figure	NOUN
ejpam-4124	207	20	1	1	NUM
ejpam-4124	207	21	:	:	PUNCT
ejpam-4124	207	22	numerical	numerical	ADJ
ejpam-4124	207	23	solution	solution	NOUN
ejpam-4124	207	24	s(x	s(x	PROPN
ejpam-4124	207	25	)	)	PUNCT
ejpam-4124	207	26	and	and	CCONJ
ejpam-4124	207	27	exact	exact	ADJ
ejpam-4124	207	28	solution	solution	NOUN
ejpam-4124	207	29	u(x	u(x	NOUN
ejpam-4124	207	30	)	)	PUNCT
ejpam-4124	207	31	for	for	ADP
ejpam-4124	207	32	example	example	NOUN
ejpam-4124	207	33	1	1	NUM
ejpam-4124	207	34	using	use	VERB
ejpam-4124	207	35	hcbsm	hcbsm	NOUN
ejpam-4124	207	36	with	with	ADP
ejpam-4124	207	37	n	n	NOUN
ejpam-4124	207	38	=	=	SYM
ejpam-4124	207	39	10	10	NUM
ejpam-4124	207	40	and	and	CCONJ
ejpam-4124	207	41	γ	γ	X
ejpam-4124	207	42	=	=	SYM
ejpam-4124	207	43	1.73125	1.73125	NUM
ejpam-4124	207	44	example	example	NOUN
ejpam-4124	207	45	2	2	NUM
ejpam-4124	207	46	.	.	PUNCT
ejpam-4124	208	1	[	[	X
ejpam-4124	208	2	15	15	NUM
ejpam-4124	208	3	]	]	SYM
ejpam-4124	208	4	{	{	PUNCT
ejpam-4124	208	5	u′′(x	u′′(x	NOUN
ejpam-4124	208	6	)	)	PUNCT
ejpam-4124	208	7	+	+	CCONJ
ejpam-4124	208	8	(	(	PUNCT
ejpam-4124	208	9	x+	x+	INTJ
ejpam-4124	208	10	1)u′(x)−	1)u′(x)−	NUM
ejpam-4124	208	11	2u(x	2u(x	NUM
ejpam-4124	208	12	)	)	PUNCT
ejpam-4124	209	1	=	=	PUNCT
ejpam-4124	209	2	(	(	PUNCT
ejpam-4124	209	3	1−	1−	NUM
ejpam-4124	209	4	x2)e−x	x2)e−x	PROPN
ejpam-4124	209	5	,	,	PUNCT
ejpam-4124	209	6	0	0	NUM
ejpam-4124	209	7	≤	≤	NUM
ejpam-4124	209	8	x	x	SYM
ejpam-4124	209	9	≤	≤	NUM
ejpam-4124	209	10	1	1	NUM
ejpam-4124	209	11	u(0	u(0	NOUN
ejpam-4124	209	12	)	)	PUNCT
ejpam-4124	209	13	=	=	SYM
ejpam-4124	209	14	−1	−1	NOUN
ejpam-4124	209	15	,	,	PUNCT
ejpam-4124	209	16	u(1	u(1	PROPN
ejpam-4124	209	17	)	)	PUNCT
ejpam-4124	209	18	=	=	SYM
ejpam-4124	209	19	0	0	NUM
ejpam-4124	209	20	(	(	PUNCT
ejpam-4124	209	21	30	30	NUM
ejpam-4124	209	22	)	)	PUNCT
ejpam-4124	209	23	the	the	DET
ejpam-4124	209	24	analytical	analytical	ADJ
ejpam-4124	209	25	solution	solution	NOUN
ejpam-4124	209	26	is	be	AUX
ejpam-4124	209	27	u(x	u(x	NOUN
ejpam-4124	209	28	)	)	PUNCT
ejpam-4124	209	29	=	=	SYM
ejpam-4124	209	30	(	(	PUNCT
ejpam-4124	209	31	x−	x−	PROPN
ejpam-4124	209	32	1)e−x	1)e−x	NUM
ejpam-4124	209	33	.	.	PUNCT
ejpam-4124	210	1	table	table	NOUN
ejpam-4124	210	2	3	3	NUM
ejpam-4124	210	3	:	:	PUNCT
ejpam-4124	210	4	absolute	absolute	ADJ
ejpam-4124	210	5	errors	error	NOUN
ejpam-4124	210	6	and	and	CCONJ
ejpam-4124	210	7	norms	norm	NOUN
ejpam-4124	210	8	of	of	ADP
ejpam-4124	210	9	cbsm	cbsm	PROPN
ejpam-4124	211	1	[	[	X
ejpam-4124	211	2	15	15	NUM
ejpam-4124	211	3	]	]	PUNCT
ejpam-4124	211	4	,	,	PUNCT
ejpam-4124	211	5	tcbsm	tcbsm	X
ejpam-4124	212	1	[	[	X
ejpam-4124	212	2	16	16	NUM
ejpam-4124	212	3	]	]	PUNCT
ejpam-4124	212	4	,	,	PUNCT
ejpam-4124	212	5	ecbsm	ecbsm	VERB
ejpam-4124	212	6	[	[	X
ejpam-4124	212	7	23	23	NUM
ejpam-4124	212	8	]	]	PUNCT
ejpam-4124	212	9	,	,	PUNCT
ejpam-4124	212	10	and	and	CCONJ
ejpam-4124	212	11	hcbsm	hcbsm	NOUN
ejpam-4124	212	12	for	for	ADP
ejpam-4124	212	13	example	example	NOUN
ejpam-4124	212	14	2	2	NUM
ejpam-4124	212	15	with	with	ADP
ejpam-4124	212	16	n	n	NOUN
ejpam-4124	212	17	=	=	SYM
ejpam-4124	212	18	10	10	NUM
ejpam-4124	212	19	x	x	PROPN
ejpam-4124	212	20	cbsm	cbsm	PROPN
ejpam-4124	212	21	tcbsm	tcbsm	PROPN
ejpam-4124	212	22	ecbsm	ecbsm	VERB
ejpam-4124	212	23	hcbsm	hcbsm	NOUN
ejpam-4124	212	24	(	(	PUNCT
ejpam-4124	212	25	λ	λ	X
ejpam-4124	212	26	=	=	SYM
ejpam-4124	212	27	2.9375e	2.9375e	PROPN
ejpam-4124	212	28	−	−	PROPN
ejpam-4124	212	29	03	03	NUM
ejpam-4124	212	30	)	)	PUNCT
ejpam-4124	212	31	(	(	PUNCT
ejpam-4124	212	32	γ	γ	X
ejpam-4124	212	33	=	=	SYM
ejpam-4124	212	34	1.6775	1.6775	NUM
ejpam-4124	212	35	)	)	PUNCT
ejpam-4124	212	36	0.1	0.1	NUM
ejpam-4124	212	37	1.161e	1.161e	NUM
ejpam-4124	212	38	−	−	NOUN
ejpam-4124	212	39	04	04	NUM
ejpam-4124	212	40	2.922e	2.922e	NOUN
ejpam-4124	212	41	−	−	NOUN
ejpam-4124	212	42	04	04	NUM
ejpam-4124	212	43	1.004e	1.004e	NUM
ejpam-4124	212	44	−	−	NUM
ejpam-4124	212	45	06	06	NUM
ejpam-4124	212	46	3.618e	3.618e	NUM
ejpam-4124	212	47	−	−	NOUN
ejpam-4124	212	48	07	07	NUM
ejpam-4124	213	1	0.2	0.2	NUM
ejpam-4124	213	2	1.872e	1.872e	NUM
ejpam-4124	213	3	−	−	NUM
ejpam-4124	213	4	04	04	NUM
ejpam-4124	213	5	4.686e	4.686e	NUM
ejpam-4124	213	6	−	−	PROPN
ejpam-4124	213	7	04	04	NUM
ejpam-4124	213	8	3.920e	3.920e	NUM
ejpam-4124	213	9	−	−	PROPN
ejpam-4124	213	10	07	07	NUM
ejpam-4124	213	11	4.115e	4.115e	NOUN
ejpam-4124	213	12	−	−	NOUN
ejpam-4124	214	1	07	07	NUM
ejpam-4124	214	2	0.3	0.3	NUM
ejpam-4124	214	3	2.229e	2.229e	NUM
ejpam-4124	214	4	−	−	NOUN
ejpam-4124	214	5	04	04	NUM
ejpam-4124	214	6	5.547e	5.547e	NUM
ejpam-4124	214	7	−	−	NOUN
ejpam-4124	214	8	04	04	NUM
ejpam-4124	214	9	1.030e	1.030e	NUM
ejpam-4124	214	10	−	−	PROPN
ejpam-4124	214	11	06	06	NUM
ejpam-4124	214	12	2.802e	2.802e	NUM
ejpam-4124	214	13	−	−	NOUN
ejpam-4124	214	14	07	07	NUM
ejpam-4124	214	15	0.4	0.4	NUM
ejpam-4124	214	16	2.311e	2.311e	NUM
ejpam-4124	214	17	−	−	NOUN
ejpam-4124	214	18	04	04	NUM
ejpam-4124	215	1	5.719e	5.719e	NUM
ejpam-4124	215	2	−	−	NOUN
ejpam-4124	215	3	04	04	NUM
ejpam-4124	216	1	2.655e	2.655e	NUM
ejpam-4124	216	2	−	−	NUM
ejpam-4124	216	3	06	06	NUM
ejpam-4124	216	4	6.830e	6.830e	NUM
ejpam-4124	216	5	−	−	PROPN
ejpam-4124	216	6	07	07	NUM
ejpam-4124	216	7	0.5	0.5	NUM
ejpam-4124	216	8	2.185e	2.185e	NUM
ejpam-4124	216	9	−	−	PROPN
ejpam-4124	216	10	04	04	NUM
ejpam-4124	217	1	5.376e	5.376e	NUM
ejpam-4124	217	2	−	−	NOUN
ejpam-4124	217	3	04	04	NUM
ejpam-4124	217	4	4.038e	4.038e	NOUN
ejpam-4124	217	5	−	−	PROPN
ejpam-4124	217	6	06	06	NUM
ejpam-4124	218	1	1.495e	1.495e	NUM
ejpam-4124	218	2	−	−	PROPN
ejpam-4124	218	3	07	07	NUM
ejpam-4124	218	4	0.6	0.6	NUM
ejpam-4124	218	5	1.906e	1.906e	NUM
ejpam-4124	218	6	−	−	NOUN
ejpam-4124	218	7	04	04	NUM
ejpam-4124	218	8	4.661e	4.661e	NUM
ejpam-4124	218	9	−	−	NOUN
ejpam-4124	218	10	04	04	NUM
ejpam-4124	218	11	4.875e	4.875e	PROPN
ejpam-4124	218	12	−	−	PROPN
ejpam-4124	218	13	06	06	NUM
ejpam-4124	218	14	3.199e	3.199e	NUM
ejpam-4124	218	15	−	−	PROPN
ejpam-4124	218	16	07	07	NUM
ejpam-4124	218	17	0.7	0.7	NUM
ejpam-4124	218	18	1.152e	1.152e	NUM
ejpam-4124	218	19	−	−	PROPN
ejpam-4124	218	20	04	04	NUM
ejpam-4124	218	21	3.687e	3.687e	NUM
ejpam-4124	218	22	−	−	NOUN
ejpam-4124	218	23	04	04	NUM
ejpam-4124	219	1	4.969e	4.969e	NUM
ejpam-4124	219	2	−	−	PROPN
ejpam-4124	219	3	06	06	NUM
ejpam-4124	220	1	4.071e	4.071e	NUM
ejpam-4124	220	2	−	−	PROPN
ejpam-4124	220	3	07	07	NUM
ejpam-4124	220	4	0.8	0.8	NUM
ejpam-4124	220	5	1.053e	1.053e	NUM
ejpam-4124	220	6	−	−	PROPN
ejpam-4124	220	7	04	04	NUM
ejpam-4124	220	8	2.543e	2.543e	NUM
ejpam-4124	220	9	−	−	NOUN
ejpam-4124	220	10	04	04	NUM
ejpam-4124	220	11	4.208e	4.208e	NUM
ejpam-4124	220	12	−	−	NUM
ejpam-4124	220	13	06	06	NUM
ejpam-4124	221	1	3.890e	3.890e	NUM
ejpam-4124	221	2	−	−	PROPN
ejpam-4124	221	3	07	07	NUM
ejpam-4124	221	4	0.9	0.9	NUM
ejpam-4124	221	5	5.406e	5.406e	NUM
ejpam-4124	221	6	−	−	PROPN
ejpam-4124	221	7	05	05	NUM
ejpam-4124	221	8	1.297e	1.297e	NUM
ejpam-4124	221	9	−	−	PROPN
ejpam-4124	221	10	04	04	NUM
ejpam-4124	221	11	2.551e	2.551e	NOUN
ejpam-4124	221	12	−	−	NUM
ejpam-4124	221	13	06	06	NUM
ejpam-4124	221	14	2.544e	2.544e	NUM
ejpam-4124	221	15	−	−	PROPN
ejpam-4124	221	16	07	07	NUM
ejpam-4124	221	17	l∞	l∞	NOUN
ejpam-4124	221	18	2.311e	2.311e	NUM
ejpam-4124	221	19	−	−	NOUN
ejpam-4124	221	20	04	04	NUM
ejpam-4124	221	21	5.719e	5.719e	NUM
ejpam-4124	221	22	−	−	NOUN
ejpam-4124	221	23	04	04	NUM
ejpam-4124	222	1	4.969e	4.969e	NUM
ejpam-4124	222	2	−	−	PROPN
ejpam-4124	222	3	06	06	NUM
ejpam-4124	223	1	4.071e	4.071e	NUM
ejpam-4124	223	2	−	−	PROPN
ejpam-4124	223	3	07	07	NUM
ejpam-4124	223	4	l2	l2	NOUN
ejpam-4124	223	5	5.222e	5.222e	NOUN
ejpam-4124	223	6	−	−	NOUN
ejpam-4124	223	7	04	04	NUM
ejpam-4124	223	8	1.290e	1.290e	NUM
ejpam-4124	223	9	−	−	NOUN
ejpam-4124	223	10	03	03	NUM
ejpam-4124	224	1	9.912e	9.912e	NUM
ejpam-4124	224	2	−	−	NUM
ejpam-4124	224	3	06	06	NUM
ejpam-4124	224	4	9.433e	9.433e	NUM
ejpam-4124	224	5	−	−	NOUN
ejpam-4124	224	6	07	07	NUM
ejpam-4124	224	7	figure	figure	NOUN
ejpam-4124	224	8	2	2	NUM
ejpam-4124	224	9	:	:	PUNCT
ejpam-4124	224	10	numerical	numerical	ADJ
ejpam-4124	224	11	solution	solution	NOUN
ejpam-4124	224	12	s(x	s(x	PROPN
ejpam-4124	224	13	)	)	PUNCT
ejpam-4124	224	14	and	and	CCONJ
ejpam-4124	224	15	exact	exact	ADJ
ejpam-4124	224	16	solution	solution	NOUN
ejpam-4124	224	17	u(x	u(x	NOUN
ejpam-4124	224	18	)	)	PUNCT
ejpam-4124	224	19	for	for	ADP
ejpam-4124	224	20	example	example	NOUN
ejpam-4124	224	21	2	2	NUM
ejpam-4124	224	22	using	use	VERB
ejpam-4124	224	23	hcbsm	hcbsm	NOUN
ejpam-4124	224	24	with	with	ADP
ejpam-4124	224	25	n	n	NOUN
ejpam-4124	224	26	=	=	SYM
ejpam-4124	224	27	10	10	NUM
ejpam-4124	224	28	and	and	CCONJ
ejpam-4124	224	29	γ	γ	X
ejpam-4124	224	30	=	=	SYM
ejpam-4124	224	31	1.6775	1.6775	NUM
ejpam-4124	224	32	a.	a.	NOUN
ejpam-4124	224	33	s.	s.	PROPN
ejpam-4124	224	34	heilat	heilat	PROPN
ejpam-4124	224	35	et	et	PROPN
ejpam-4124	224	36	al	al	PROPN
ejpam-4124	224	37	.	.	PUNCT
ejpam-4124	224	38	/	/	SYM
ejpam-4124	224	39	eur	eur	PROPN
ejpam-4124	224	40	.	.	PUNCT
ejpam-4124	225	1	j.	j.	PROPN
ejpam-4124	225	2	pure	pure	PROPN
ejpam-4124	225	3	appl	appl	PROPN
ejpam-4124	225	4	.	.	PROPN
ejpam-4124	225	5	math	math	PROPN
ejpam-4124	225	6	,	,	PUNCT
ejpam-4124	225	7	14	14	NUM
ejpam-4124	225	8	(	(	PUNCT
ejpam-4124	225	9	4	4	NUM
ejpam-4124	225	10	)	)	PUNCT
ejpam-4124	225	11	(	(	PUNCT
ejpam-4124	225	12	2021	2021	NUM
ejpam-4124	225	13	)	)	PUNCT
ejpam-4124	225	14	,	,	PUNCT
ejpam-4124	225	15	1283	1283	NUM
ejpam-4124	225	16	-	-	SYM
ejpam-4124	225	17	1294	1294	NUM
ejpam-4124	225	18	1291	1291	NUM
ejpam-4124	225	19	example	example	NOUN
ejpam-4124	225	20	3	3	NUM
ejpam-4124	225	21	.	.	PUNCT
ejpam-4124	226	1	[	[	X
ejpam-4124	226	2	2	2	NUM
ejpam-4124	226	3	]	]	X
ejpam-4124	226	4	{	{	PUNCT
ejpam-4124	226	5	u′′(x)−	u′′(x)−	PROPN
ejpam-4124	226	6	π2u(x	π2u(x	PROPN
ejpam-4124	226	7	)	)	PUNCT
ejpam-4124	227	1	=	=	SYM
ejpam-4124	227	2	−2π2	−2π2	NUM
ejpam-4124	227	3	sin(πx	sin(πx	NOUN
ejpam-4124	227	4	)	)	PUNCT
ejpam-4124	227	5	,	,	PUNCT
ejpam-4124	227	6	0	0	NUM
ejpam-4124	227	7	≤	≤	NUM
ejpam-4124	227	8	x	x	SYM
ejpam-4124	227	9	≤	≤	NUM
ejpam-4124	227	10	1	1	NUM
ejpam-4124	227	11	u(0	u(0	NOUN
ejpam-4124	227	12	)	)	PUNCT
ejpam-4124	227	13	=	=	SYM
ejpam-4124	227	14	0	0	NUM
ejpam-4124	227	15	,	,	PUNCT
ejpam-4124	227	16	u(1	u(1	PROPN
ejpam-4124	227	17	)	)	PUNCT
ejpam-4124	227	18	=	=	SYM
ejpam-4124	227	19	0	0	NUM
ejpam-4124	227	20	(	(	PUNCT
ejpam-4124	227	21	31	31	NUM
ejpam-4124	227	22	)	)	PUNCT
ejpam-4124	227	23	the	the	DET
ejpam-4124	227	24	analytical	analytical	ADJ
ejpam-4124	227	25	solution	solution	NOUN
ejpam-4124	227	26	is	be	AUX
ejpam-4124	227	27	u(x	u(x	NOUN
ejpam-4124	227	28	)	)	PUNCT
ejpam-4124	227	29	=	=	SYM
ejpam-4124	227	30	sin(πx	sin(πx	NOUN
ejpam-4124	227	31	)	)	PUNCT
ejpam-4124	227	32	.	.	PUNCT
ejpam-4124	228	1	table	table	NOUN
ejpam-4124	228	2	4	4	NUM
ejpam-4124	228	3	:	:	PUNCT
ejpam-4124	228	4	absolute	absolute	ADJ
ejpam-4124	228	5	errors	error	NOUN
ejpam-4124	228	6	and	and	CCONJ
ejpam-4124	228	7	norms	norm	NOUN
ejpam-4124	228	8	of	of	ADP
ejpam-4124	228	9	cbsm	cbsm	PROPN
ejpam-4124	229	1	[	[	X
ejpam-4124	229	2	15	15	NUM
ejpam-4124	229	3	]	]	PUNCT
ejpam-4124	229	4	,	,	PUNCT
ejpam-4124	229	5	tcbsm	tcbsm	X
ejpam-4124	230	1	[	[	X
ejpam-4124	230	2	16	16	NUM
ejpam-4124	230	3	]	]	PUNCT
ejpam-4124	230	4	,	,	PUNCT
ejpam-4124	230	5	ecbsm	ecbsm	VERB
ejpam-4124	230	6	[	[	X
ejpam-4124	230	7	23	23	NUM
ejpam-4124	230	8	]	]	PUNCT
ejpam-4124	230	9	,	,	PUNCT
ejpam-4124	230	10	and	and	CCONJ
ejpam-4124	230	11	hcbsm	hcbsm	NOUN
ejpam-4124	230	12	for	for	ADP
ejpam-4124	230	13	example	example	NOUN
ejpam-4124	230	14	3	3	NUM
ejpam-4124	230	15	with	with	ADP
ejpam-4124	230	16	n	n	NOUN
ejpam-4124	230	17	=	=	SYM
ejpam-4124	230	18	10	10	NUM
ejpam-4124	230	19	x	x	PROPN
ejpam-4124	230	20	cbsm	cbsm	PROPN
ejpam-4124	230	21	tcbsm	tcbsm	PROPN
ejpam-4124	230	22	ecbsm	ecbsm	VERB
ejpam-4124	230	23	hcbsm	hcbsm	NOUN
ejpam-4124	230	24	(	(	PUNCT
ejpam-4124	230	25	λ	λ	SYM
ejpam-4124	230	26	=	=	SYM
ejpam-4124	230	27	−1.6500e	−1.6500e	PROPN
ejpam-4124	230	28	−	−	PROPN
ejpam-4124	230	29	02	02	NUM
ejpam-4124	230	30	)	)	PUNCT
ejpam-4124	230	31	(	(	PUNCT
ejpam-4124	230	32	γ	γ	X
ejpam-4124	230	33	=	=	SYM
ejpam-4124	230	34	−3.0919	−3.0919	PROPN
ejpam-4124	230	35	)	)	PUNCT
ejpam-4124	230	36	0.1	0.1	NUM
ejpam-4124	230	37	1.270e	1.270e	NUM
ejpam-4124	231	1	−	−	NOUN
ejpam-4124	231	2	03	03	NUM
ejpam-4124	232	1	9.568e	9.568e	NUM
ejpam-4124	233	1	−	−	NOUN
ejpam-4124	233	2	04	04	NUM
ejpam-4124	234	1	2.769e	2.769e	NUM
ejpam-4124	234	2	−	−	NOUN
ejpam-4124	234	3	07	07	NUM
ejpam-4124	234	4	5.184e	5.184e	NUM
ejpam-4124	234	5	−	−	NOUN
ejpam-4124	234	6	09	09	NUM
ejpam-4124	234	7	0.2	0.2	NUM
ejpam-4124	234	8	2.415e	2.415e	NOUN
ejpam-4124	234	9	−	−	NOUN
ejpam-4124	234	10	03	03	NUM
ejpam-4124	234	11	1.820e	1.820e	NUM
ejpam-4124	234	12	−	−	NOUN
ejpam-4124	234	13	03	03	NUM
ejpam-4124	235	1	5.267e	5.267e	NUM
ejpam-4124	235	2	−	−	PROPN
ejpam-4124	235	3	07	07	NUM
ejpam-4124	235	4	9.861e	9.861e	NUM
ejpam-4124	235	5	−	−	NOUN
ejpam-4124	235	6	09	09	NUM
ejpam-4124	235	7	0.3	0.3	NUM
ejpam-4124	235	8	3.324e	3.324e	NUM
ejpam-4124	235	9	−	−	NOUN
ejpam-4124	235	10	03	03	NUM
ejpam-4124	235	11	2.505e	2.505e	NUM
ejpam-4124	235	12	−	−	NOUN
ejpam-4124	235	13	03	03	NUM
ejpam-4124	235	14	7.249e	7.249e	ADJ
ejpam-4124	235	15	−	−	PROPN
ejpam-4124	235	16	07	07	NUM
ejpam-4124	235	17	1.357e	1.357e	NUM
ejpam-4124	235	18	−	−	NUM
ejpam-4124	235	19	08	08	NUM
ejpam-4124	235	20	0.4	0.4	NUM
ejpam-4124	235	21	3.908e	3.908e	NUM
ejpam-4124	235	22	−	−	NOUN
ejpam-4124	235	23	03	03	NUM
ejpam-4124	235	24	2.945e	2.945e	NUM
ejpam-4124	235	25	−	−	PROPN
ejpam-4124	235	26	03	03	NUM
ejpam-4124	235	27	8.522e	8.522e	NUM
ejpam-4124	235	28	−	−	PROPN
ejpam-4124	235	29	07	07	NUM
ejpam-4124	235	30	1.596e	1.596e	NUM
ejpam-4124	235	31	−	−	NOUN
ejpam-4124	235	32	08	08	NUM
ejpam-4124	235	33	0.5	0.5	NUM
ejpam-4124	235	34	4.109e	4.109e	NUM
ejpam-4124	235	35	−	−	PROPN
ejpam-4124	235	36	03	03	NUM
ejpam-4124	235	37	3.096e	3.096e	NUM
ejpam-4124	235	38	−	−	NOUN
ejpam-4124	235	39	03	03	NUM
ejpam-4124	235	40	8.960e	8.960e	NOUN
ejpam-4124	235	41	−	−	PROPN
ejpam-4124	235	42	07	07	NUM
ejpam-4124	235	43	1.678e	1.678e	NUM
ejpam-4124	235	44	−	−	NUM
ejpam-4124	235	45	08	08	NUM
ejpam-4124	235	46	0.6	0.6	NUM
ejpam-4124	235	47	3.908e	3.908e	NUM
ejpam-4124	235	48	−	−	NOUN
ejpam-4124	235	49	03	03	NUM
ejpam-4124	235	50	2.945e	2.945e	NUM
ejpam-4124	235	51	−	−	PROPN
ejpam-4124	235	52	03	03	NUM
ejpam-4124	235	53	8.522e	8.522e	NUM
ejpam-4124	235	54	−	−	PROPN
ejpam-4124	235	55	07	07	NUM
ejpam-4124	235	56	1.596e	1.596e	NUM
ejpam-4124	235	57	−	−	NOUN
ejpam-4124	235	58	08	08	NUM
ejpam-4124	235	59	0.7	0.7	NUM
ejpam-4124	235	60	3.324e	3.324e	NUM
ejpam-4124	235	61	−	−	NOUN
ejpam-4124	235	62	03	03	NUM
ejpam-4124	235	63	2.505e	2.505e	NUM
ejpam-4124	235	64	−	−	NOUN
ejpam-4124	235	65	03	03	NUM
ejpam-4124	235	66	7.249e	7.249e	ADJ
ejpam-4124	235	67	−	−	PROPN
ejpam-4124	235	68	07	07	NUM
ejpam-4124	235	69	1.357e	1.357e	NUM
ejpam-4124	235	70	−	−	NUM
ejpam-4124	235	71	08	08	NUM
ejpam-4124	235	72	0.8	0.8	NUM
ejpam-4124	235	73	2.415e	2.415e	NOUN
ejpam-4124	235	74	−	−	NOUN
ejpam-4124	235	75	03	03	NUM
ejpam-4124	235	76	1.820e	1.820e	NUM
ejpam-4124	235	77	−	−	NOUN
ejpam-4124	235	78	03	03	NUM
ejpam-4124	235	79	5.267e	5.267e	NUM
ejpam-4124	235	80	−	−	PROPN
ejpam-4124	235	81	07	07	NUM
ejpam-4124	235	82	9.862e	9.862e	NUM
ejpam-4124	235	83	−	−	NOUN
ejpam-4124	235	84	09	09	NUM
ejpam-4124	235	85	0.9	0.9	NUM
ejpam-4124	235	86	1.270e	1.270e	NUM
ejpam-4124	235	87	−	−	NOUN
ejpam-4124	235	88	03	03	NUM
ejpam-4124	235	89	9.568e	9.568e	NUM
ejpam-4124	235	90	−	−	NOUN
ejpam-4124	235	91	04	04	NUM
ejpam-4124	236	1	2.769e	2.769e	NUM
ejpam-4124	236	2	−	−	NUM
ejpam-4124	236	3	07	07	NUM
ejpam-4124	236	4	5.182e	5.182e	NUM
ejpam-4124	236	5	−	−	PROPN
ejpam-4124	236	6	09	09	NUM
ejpam-4124	236	7	l∞	l∞	NOUN
ejpam-4124	236	8	4.109e	4.109e	NOUN
ejpam-4124	236	9	−	−	NOUN
ejpam-4124	236	10	03	03	NUM
ejpam-4124	236	11	3.096e	3.096e	NUM
ejpam-4124	236	12	−	−	NOUN
ejpam-4124	236	13	03	03	NUM
ejpam-4124	236	14	8.960e	8.960e	NOUN
ejpam-4124	236	15	−	−	PROPN
ejpam-4124	236	16	07	07	NUM
ejpam-4124	236	17	1.678e	1.678e	NUM
ejpam-4124	236	18	−	−	NUM
ejpam-4124	236	19	08	08	NUM
ejpam-4124	236	20	l2	l2	NOUN
ejpam-4124	236	21	9.188e	9.188e	NUM
ejpam-4124	236	22	−	−	NOUN
ejpam-4124	236	23	03	03	NUM
ejpam-4124	236	24	6.923e	6.923e	NUM
ejpam-4124	236	25	−	−	NOUN
ejpam-4124	236	26	03	03	NUM
ejpam-4124	236	27	2.004e	2.004e	NUM
ejpam-4124	236	28	−	−	PROPN
ejpam-4124	236	29	06	06	NUM
ejpam-4124	236	30	3.751e	3.751e	NOUN
ejpam-4124	236	31	−	−	NOUN
ejpam-4124	236	32	08	08	NUM
ejpam-4124	236	33	figure	figure	NOUN
ejpam-4124	236	34	3	3	NUM
ejpam-4124	236	35	:	:	PUNCT
ejpam-4124	236	36	numerical	numerical	ADJ
ejpam-4124	236	37	solution	solution	NOUN
ejpam-4124	236	38	s(x	s(x	PROPN
ejpam-4124	236	39	)	)	PUNCT
ejpam-4124	236	40	and	and	CCONJ
ejpam-4124	236	41	exact	exact	ADJ
ejpam-4124	236	42	solution	solution	NOUN
ejpam-4124	236	43	u(x	u(x	NOUN
ejpam-4124	236	44	)	)	PUNCT
ejpam-4124	236	45	for	for	ADP
ejpam-4124	236	46	example	example	NOUN
ejpam-4124	236	47	3	3	NUM
ejpam-4124	236	48	using	use	VERB
ejpam-4124	236	49	hcbsm	hcbsm	NOUN
ejpam-4124	236	50	with	with	ADP
ejpam-4124	236	51	n	n	NOUN
ejpam-4124	236	52	=	=	SYM
ejpam-4124	236	53	10	10	NUM
ejpam-4124	236	54	and	and	CCONJ
ejpam-4124	236	55	γ	γ	X
ejpam-4124	236	56	=	=	SYM
ejpam-4124	236	57	−3.0919	−3.0919	PRON
ejpam-4124	236	58	example	example	NOUN
ejpam-4124	236	59	4	4	NUM
ejpam-4124	236	60	.	.	PUNCT
ejpam-4124	237	1	[	[	X
ejpam-4124	237	2	16	16	NUM
ejpam-4124	237	3	]	]	X
ejpam-4124	237	4	{	{	PUNCT
ejpam-4124	237	5	u′′(x)−	u′′(x)−	NOUN
ejpam-4124	237	6	u(x	u(x	PROPN
ejpam-4124	237	7	)	)	PUNCT
ejpam-4124	237	8	=	=	SYM
ejpam-4124	237	9	0	0	NUM
ejpam-4124	237	10	,	,	PUNCT
ejpam-4124	237	11	0	0	NUM
ejpam-4124	237	12	≤	≤	NUM
ejpam-4124	237	13	x	x	SYM
ejpam-4124	237	14	≤	≤	NUM
ejpam-4124	237	15	1	1	NUM
ejpam-4124	237	16	u(0	u(0	NOUN
ejpam-4124	237	17	)	)	PUNCT
ejpam-4124	237	18	=	=	SYM
ejpam-4124	237	19	0	0	NUM
ejpam-4124	237	20	,	,	PUNCT
ejpam-4124	237	21	u(1	u(1	PROPN
ejpam-4124	237	22	)	)	PUNCT
ejpam-4124	237	23	=	=	PUNCT
ejpam-4124	237	24	sinh(1	sinh(1	NOUN
ejpam-4124	237	25	)	)	PUNCT
ejpam-4124	237	26	(	(	PUNCT
ejpam-4124	237	27	32	32	NUM
ejpam-4124	237	28	)	)	PUNCT
ejpam-4124	237	29	the	the	DET
ejpam-4124	237	30	analytical	analytical	ADJ
ejpam-4124	237	31	solution	solution	NOUN
ejpam-4124	237	32	is	be	AUX
ejpam-4124	237	33	u(x	u(x	NOUN
ejpam-4124	237	34	)	)	PUNCT
ejpam-4124	237	35	=	=	SYM
ejpam-4124	237	36	sinh(x	sinh(x	PROPN
ejpam-4124	237	37	)	)	PUNCT
ejpam-4124	237	38	.	.	PUNCT
ejpam-4124	238	1	references	reference	NOUN
ejpam-4124	238	2	1292	1292	NUM
ejpam-4124	238	3	table	table	NOUN
ejpam-4124	238	4	5	5	NUM
ejpam-4124	238	5	:	:	PUNCT
ejpam-4124	238	6	absolute	absolute	ADJ
ejpam-4124	238	7	errors	error	NOUN
ejpam-4124	238	8	and	and	CCONJ
ejpam-4124	238	9	norms	norm	NOUN
ejpam-4124	238	10	of	of	ADP
ejpam-4124	238	11	cbsm	cbsm	PROPN
ejpam-4124	239	1	[	[	X
ejpam-4124	239	2	15	15	NUM
ejpam-4124	239	3	]	]	PUNCT
ejpam-4124	239	4	,	,	PUNCT
ejpam-4124	239	5	tcbsm	tcbsm	X
ejpam-4124	240	1	[	[	X
ejpam-4124	240	2	16	16	NUM
ejpam-4124	240	3	]	]	PUNCT
ejpam-4124	240	4	,	,	PUNCT
ejpam-4124	240	5	ecbsm	ecbsm	VERB
ejpam-4124	240	6	[	[	X
ejpam-4124	240	7	23	23	NUM
ejpam-4124	240	8	]	]	PUNCT
ejpam-4124	240	9	,	,	PUNCT
ejpam-4124	240	10	and	and	CCONJ
ejpam-4124	240	11	hcbsm	hcbsm	NOUN
ejpam-4124	240	12	for	for	ADP
ejpam-4124	240	13	example	example	NOUN
ejpam-4124	240	14	4	4	NUM
ejpam-4124	240	15	with	with	ADP
ejpam-4124	240	16	n	n	NOUN
ejpam-4124	240	17	=	=	SYM
ejpam-4124	240	18	10	10	NUM
ejpam-4124	240	19	x	x	PROPN
ejpam-4124	240	20	cbsm	cbsm	PROPN
ejpam-4124	240	21	tcbsm	tcbsm	PROPN
ejpam-4124	240	22	ecbsm	ecbsm	VERB
ejpam-4124	240	23	hcbsm	hcbsm	NOUN
ejpam-4124	240	24	(	(	PUNCT
ejpam-4124	240	25	λ	λ	X
ejpam-4124	240	26	=	=	SYM
ejpam-4124	240	27	1.6875e	1.6875e	PROPN
ejpam-4124	240	28	−	−	NOUN
ejpam-4124	240	29	03	03	NUM
ejpam-4124	240	30	)	)	PUNCT
ejpam-4124	240	31	(	(	PUNCT
ejpam-4124	240	32	γ	γ	X
ejpam-4124	240	33	=	=	SYM
ejpam-4124	240	34	1.32475	1.32475	NUM
ejpam-4124	240	35	)	)	PUNCT
ejpam-4124	240	36	0.1	0.1	NUM
ejpam-4124	240	37	1.294e	1.294e	NUM
ejpam-4124	240	38	−	−	NUM
ejpam-4124	240	39	05	05	NUM
ejpam-4124	240	40	5.269e	5.269e	NUM
ejpam-4124	241	1	−	−	NOUN
ejpam-4124	241	2	05	05	NUM
ejpam-4124	242	1	1.660e	1.660e	NUM
ejpam-4124	242	2	−	−	PROPN
ejpam-4124	242	3	07	07	NUM
ejpam-4124	242	4	7.773e	7.773e	NUM
ejpam-4124	242	5	−	−	PROPN
ejpam-4124	242	6	10	10	NUM
ejpam-4124	242	7	0.2	0.2	NUM
ejpam-4124	242	8	2.518e	2.518e	NUM
ejpam-4124	242	9	−	−	NOUN
ejpam-4124	242	10	05	05	NUM
ejpam-4124	243	1	1.025e	1.025e	NUM
ejpam-4124	243	2	−	−	PROPN
ejpam-4124	243	3	04	04	NUM
ejpam-4124	243	4	3.230e	3.230e	NUM
ejpam-4124	243	5	−	−	PROPN
ejpam-4124	243	6	07	07	NUM
ejpam-4124	243	7	1.512e	1.512e	NUM
ejpam-4124	243	8	−	−	PROPN
ejpam-4124	243	9	09	09	NUM
ejpam-4124	243	10	0.3	0.3	NUM
ejpam-4124	243	11	3.598e	3.598e	NUM
ejpam-4124	243	12	−	−	NOUN
ejpam-4124	243	13	05	05	NUM
ejpam-4124	244	1	1.465e	1.465e	NUM
ejpam-4124	244	2	−	−	NOUN
ejpam-4124	244	3	04	04	NUM
ejpam-4124	244	4	4.615e	4.615e	NOUN
ejpam-4124	244	5	−	−	NOUN
ejpam-4124	244	6	07	07	NUM
ejpam-4124	244	7	2.161e	2.161e	NUM
ejpam-4124	244	8	−	−	PROPN
ejpam-4124	244	9	09	09	NUM
ejpam-4124	244	10	0.4	0.4	NUM
ejpam-4124	244	11	4.460e	4.460e	NUM
ejpam-4124	244	12	−	−	NUM
ejpam-4124	244	13	05	05	NUM
ejpam-4124	244	14	1.816e	1.816e	NUM
ejpam-4124	244	15	−	−	NOUN
ejpam-4124	244	16	04	04	NUM
ejpam-4124	244	17	5.721e	5.721e	NUM
ejpam-4124	244	18	−	−	PROPN
ejpam-4124	244	19	07	07	NUM
ejpam-4124	244	20	2.679e	2.679e	NUM
ejpam-4124	244	21	−	−	NOUN
ejpam-4124	244	22	09	09	NUM
ejpam-4124	244	23	0.5	0.5	NUM
ejpam-4124	244	24	5.023e	5.023e	NUM
ejpam-4124	244	25	−	−	NOUN
ejpam-4124	244	26	05	05	NUM
ejpam-4124	244	27	2.045e	2.045e	NUM
ejpam-4124	244	28	−	−	PROPN
ejpam-4124	244	29	04	04	NUM
ejpam-4124	244	30	6.444e	6.444e	NUM
ejpam-4124	244	31	−	−	NOUN
ejpam-4124	244	32	07	07	NUM
ejpam-4124	244	33	3.017e	3.017e	NUM
ejpam-4124	244	34	−	−	NOUN
ejpam-4124	244	35	09	09	NUM
ejpam-4124	244	36	0.6	0.6	NUM
ejpam-4124	244	37	5.201e	5.201e	NUM
ejpam-4124	244	38	−	−	PROPN
ejpam-4124	244	39	05	05	NUM
ejpam-4124	244	40	2.118e	2.118e	NUM
ejpam-4124	244	41	−	−	NOUN
ejpam-4124	244	42	04	04	NUM
ejpam-4124	244	43	6.672e	6.672e	NUM
ejpam-4124	244	44	−	−	PROPN
ejpam-4124	244	45	07	07	NUM
ejpam-4124	244	46	3.124e	3.124e	NUM
ejpam-4124	244	47	−	−	PROPN
ejpam-4124	244	48	09	09	NUM
ejpam-4124	244	49	0.7	0.7	NUM
ejpam-4124	244	50	4.899e	4.899e	NOUN
ejpam-4124	244	51	−	−	PROPN
ejpam-4124	244	52	05	05	NUM
ejpam-4124	245	1	1.995e	1.995e	NUM
ejpam-4124	245	2	−	−	NOUN
ejpam-4124	245	3	04	04	NUM
ejpam-4124	246	1	6.284e	6.284e	NUM
ejpam-4124	246	2	−	−	PROPN
ejpam-4124	246	3	07	07	NUM
ejpam-4124	246	4	2.942e	2.942e	NOUN
ejpam-4124	246	5	−	−	NOUN
ejpam-4124	246	6	09	09	NUM
ejpam-4124	246	7	0.8	0.8	NUM
ejpam-4124	246	8	4.012e	4.012e	NUM
ejpam-4124	246	9	−	−	PROPN
ejpam-4124	246	10	05	05	NUM
ejpam-4124	246	11	1.634e	1.634e	NUM
ejpam-4124	246	12	−	−	PROPN
ejpam-4124	246	13	04	04	NUM
ejpam-4124	247	1	5.146e	5.146e	ADJ
ejpam-4124	247	2	−	−	PROPN
ejpam-4124	247	3	07	07	NUM
ejpam-4124	247	4	2.409e	2.409e	NUM
ejpam-4124	247	5	−	−	PROPN
ejpam-4124	247	6	09	09	NUM
ejpam-4124	247	7	0.9	0.9	NUM
ejpam-4124	247	8	2.423e	2.423e	NUM
ejpam-4124	247	9	−	−	NOUN
ejpam-4124	247	10	05	05	NUM
ejpam-4124	248	1	9.866e	9.866e	NOUN
ejpam-4124	248	2	−	−	NOUN
ejpam-4124	248	3	05	05	NUM
ejpam-4124	249	1	3.107e	3.107e	NUM
ejpam-4124	249	2	−	−	NOUN
ejpam-4124	249	3	07	07	NUM
ejpam-4124	249	4	1.455e	1.455e	NUM
ejpam-4124	249	5	−	−	PROPN
ejpam-4124	249	6	09	09	NUM
ejpam-4124	249	7	l∞	l∞	NOUN
ejpam-4124	250	1	5.201e	5.201e	NUM
ejpam-4124	250	2	−	−	PROPN
ejpam-4124	250	3	05	05	NUM
ejpam-4124	250	4	2.118e	2.118e	NUM
ejpam-4124	250	5	−	−	NOUN
ejpam-4124	250	6	04	04	NUM
ejpam-4124	250	7	6.672e	6.672e	NUM
ejpam-4124	250	8	−	−	PROPN
ejpam-4124	250	9	07	07	NUM
ejpam-4124	250	10	3.124e	3.124e	NUM
ejpam-4124	250	11	−	−	NOUN
ejpam-4124	250	12	09	09	NUM
ejpam-4124	250	13	l2	l2	NOUN
ejpam-4124	250	14	1.179e	1.179e	NUM
ejpam-4124	250	15	−	−	NUM
ejpam-4124	250	16	04	04	NUM
ejpam-4124	250	17	4.802e	4.802e	NUM
ejpam-4124	250	18	−	−	NOUN
ejpam-4124	250	19	04	04	NUM
ejpam-4124	250	20	1.513e	1.513e	NUM
ejpam-4124	250	21	−	−	NUM
ejpam-4124	250	22	06	06	NUM
ejpam-4124	250	23	7.083e	7.083e	NOUN
ejpam-4124	250	24	−	−	NOUN
ejpam-4124	250	25	09	09	NUM
ejpam-4124	250	26	figure	figure	NOUN
ejpam-4124	250	27	4	4	NUM
ejpam-4124	250	28	:	:	PUNCT
ejpam-4124	250	29	numerical	numerical	ADJ
ejpam-4124	250	30	solution	solution	NOUN
ejpam-4124	250	31	s(x	s(x	PROPN
ejpam-4124	250	32	)	)	PUNCT
ejpam-4124	250	33	and	and	CCONJ
ejpam-4124	250	34	exact	exact	ADJ
ejpam-4124	250	35	solution	solution	NOUN
ejpam-4124	250	36	u(x	u(x	NOUN
ejpam-4124	250	37	)	)	PUNCT
ejpam-4124	250	38	for	for	ADP
ejpam-4124	250	39	example	example	NOUN
ejpam-4124	250	40	4	4	NUM
ejpam-4124	250	41	using	use	VERB
ejpam-4124	250	42	hcbsm	hcbsm	NOUN
ejpam-4124	250	43	with	with	ADP
ejpam-4124	250	44	n	n	NOUN
ejpam-4124	250	45	=	=	SYM
ejpam-4124	250	46	10	10	NUM
ejpam-4124	250	47	and	and	CCONJ
ejpam-4124	250	48	γ	γ	X
ejpam-4124	250	49	=	=	SYM
ejpam-4124	250	50	1.32475	1.32475	NUM
ejpam-4124	250	51	6	6	NUM
ejpam-4124	250	52	.	.	PUNCT
ejpam-4124	251	1	conclusions	conclusion	NOUN
ejpam-4124	251	2	in	in	ADP
ejpam-4124	251	3	this	this	DET
ejpam-4124	251	4	research	research	NOUN
ejpam-4124	251	5	,	,	PUNCT
ejpam-4124	251	6	a	a	DET
ejpam-4124	251	7	new	new	ADJ
ejpam-4124	251	8	method	method	NOUN
ejpam-4124	251	9	for	for	ADP
ejpam-4124	251	10	finding	find	VERB
ejpam-4124	251	11	approximate	approximate	ADJ
ejpam-4124	251	12	solutions	solution	NOUN
ejpam-4124	251	13	for	for	ADP
ejpam-4124	251	14	a	a	DET
ejpam-4124	251	15	second	second	ADJ
ejpam-4124	251	16	-	-	PUNCT
ejpam-4124	251	17	order	order	NOUN
ejpam-4124	251	18	linear	linear	ADJ
ejpam-4124	251	19	two	two	NUM
ejpam-4124	251	20	-	-	PUNCT
ejpam-4124	251	21	point	point	NOUN
ejpam-4124	251	22	boundary	boundary	ADJ
ejpam-4124	251	23	value	value	NOUN
ejpam-4124	251	24	problems	problem	NOUN
ejpam-4124	251	25	based	base	VERB
ejpam-4124	251	26	on	on	ADP
ejpam-4124	251	27	hybrid	hybrid	ADJ
ejpam-4124	251	28	cubic	cubic	ADJ
ejpam-4124	251	29	b	b	NOUN
ejpam-4124	251	30	-	-	PUNCT
ejpam-4124	251	31	spline	spline	NOUN
ejpam-4124	251	32	was	be	AUX
ejpam-4124	251	33	proposed	propose	VERB
ejpam-4124	251	34	.	.	PUNCT
ejpam-4124	252	1	this	this	DET
ejpam-4124	252	2	method	method	NOUN
ejpam-4124	252	3	is	be	AUX
ejpam-4124	252	4	called	call	VERB
ejpam-4124	252	5	hcbsm	hcbsm	NOUN
ejpam-4124	252	6	.	.	PUNCT
ejpam-4124	253	1	the	the	DET
ejpam-4124	253	2	values	value	NOUN
ejpam-4124	253	3	of	of	ADP
ejpam-4124	253	4	the	the	DET
ejpam-4124	253	5	free	free	ADJ
ejpam-4124	253	6	parameter	parameter	NOUN
ejpam-4124	253	7	γ	γ	PROPN
ejpam-4124	253	8	have	have	VERB
ejpam-4124	253	9	influence	influence	NOUN
ejpam-4124	253	10	on	on	ADP
ejpam-4124	253	11	the	the	DET
ejpam-4124	253	12	accuracy	accuracy	NOUN
ejpam-4124	253	13	of	of	ADP
ejpam-4124	253	14	our	our	PRON
ejpam-4124	253	15	method	method	NOUN
ejpam-4124	253	16	.	.	PUNCT
ejpam-4124	254	1	this	this	DET
ejpam-4124	254	2	method	method	NOUN
ejpam-4124	254	3	improved	improve	VERB
ejpam-4124	254	4	the	the	DET
ejpam-4124	254	5	accuracy	accuracy	NOUN
ejpam-4124	254	6	of	of	ADP
ejpam-4124	254	7	its	its	PRON
ejpam-4124	254	8	predecessors	predecessor	NOUN
ejpam-4124	254	9	;	;	PUNCT
ejpam-4124	254	10	cbm	cbm	PROPN
ejpam-4124	254	11	,	,	PUNCT
ejpam-4124	254	12	tcbsm	tcbsm	NOUN
ejpam-4124	254	13	,	,	PUNCT
ejpam-4124	254	14	and	and	CCONJ
ejpam-4124	254	15	ecbsm	ecbsm	VERB
ejpam-4124	254	16	and	and	CCONJ
ejpam-4124	254	17	produced	produce	VERB
ejpam-4124	254	18	more	more	ADV
ejpam-4124	254	19	accurate	accurate	ADJ
ejpam-4124	254	20	results	result	NOUN
ejpam-4124	254	21	than	than	ADP
ejpam-4124	254	22	other	other	ADJ
ejpam-4124	254	23	spline	spline	NOUN
ejpam-4124	254	24	methods	method	NOUN
ejpam-4124	254	25	.	.	PUNCT
ejpam-4124	255	1	references	reference	NOUN
ejpam-4124	255	2	[	[	X
ejpam-4124	255	3	1	1	NUM
ejpam-4124	255	4	]	]	PUNCT
ejpam-4124	255	5	blum	blum	PROPN
ejpam-4124	255	6	,	,	PUNCT
ejpam-4124	255	7	e.	e.	PROPN
ejpam-4124	255	8	k.	k.	PROPN
ejpam-4124	255	9	(	(	PUNCT
ejpam-4124	255	10	1972	1972	NUM
ejpam-4124	255	11	)	)	PUNCT
ejpam-4124	255	12	.	.	PUNCT
ejpam-4124	256	1	numerical	numerical	ADJ
ejpam-4124	256	2	analysis	analysis	NOUN
ejpam-4124	256	3	and	and	CCONJ
ejpam-4124	256	4	computation	computation	NOUN
ejpam-4124	256	5	theory	theory	NOUN
ejpam-4124	256	6	and	and	CCONJ
ejpam-4124	256	7	practice	practice	NOUN
ejpam-4124	256	8	.	.	PUNCT
ejpam-4124	257	1	[	[	X
ejpam-4124	257	2	2	2	NUM
ejpam-4124	257	3	]	]	PUNCT
ejpam-4124	257	4	burden	burden	NOUN
ejpam-4124	257	5	,	,	PUNCT
ejpam-4124	257	6	r.	r.	PROPN
ejpam-4124	257	7	l.	l.	PROPN
ejpam-4124	257	8	(	(	PUNCT
ejpam-4124	257	9	1985	1985	NUM
ejpam-4124	257	10	)	)	PUNCT
ejpam-4124	257	11	.	.	PUNCT
ejpam-4124	258	1	jd	jd	PROPN
ejpam-4124	258	2	faires	faire	NOUN
ejpam-4124	258	3	numerical	numerical	ADJ
ejpam-4124	258	4	analysis	analysis	NOUN
ejpam-4124	258	5	.	.	PUNCT
ejpam-4124	259	1	boston	boston	PROPN
ejpam-4124	259	2	:	:	PUNCT
ejpam-4124	259	3	brooks	brooks	PROPN
ejpam-4124	259	4	-	-	PUNCT
ejpam-4124	259	5	cole	cole	NOUN
ejpam-4124	259	6	.	.	PUNCT
ejpam-4124	260	1	pub	pub	NOUN
ejpam-4124	260	2	.	.	PUNCT
ejpam-4124	260	3	,	,	PUNCT
ejpam-4124	261	1	pp	pp	ADJ
ejpam-4124	261	2	.	.	PUNCT
ejpam-4124	262	1	672	672	NUM
ejpam-4124	262	2	-	-	SYM
ejpam-4124	262	3	674	674	NUM
ejpam-4124	262	4	.	.	PUNCT
ejpam-4124	263	1	[	[	X
ejpam-4124	263	2	3	3	NUM
ejpam-4124	263	3	]	]	X
ejpam-4124	263	4	fang	fang	X
ejpam-4124	263	5	,	,	PUNCT
ejpam-4124	263	6	q.	q.	PROPN
ejpam-4124	263	7	,	,	PUNCT
ejpam-4124	263	8	tsuchiya	tsuchiya	PROPN
ejpam-4124	263	9	,	,	PUNCT
ejpam-4124	263	10	t.	t.	PROPN
ejpam-4124	263	11	,	,	PUNCT
ejpam-4124	263	12	and	and	CCONJ
ejpam-4124	263	13	yamamoto	yamamoto	NOUN
ejpam-4124	263	14	,	,	PUNCT
ejpam-4124	263	15	t.	t.	PROPN
ejpam-4124	263	16	(	(	PUNCT
ejpam-4124	263	17	2002	2002	NUM
ejpam-4124	263	18	)	)	PUNCT
ejpam-4124	263	19	.	.	PUNCT
ejpam-4124	264	1	finite	finite	PROPN
ejpam-4124	264	2	difference	difference	NOUN
ejpam-4124	264	3	,	,	PUNCT
ejpam-4124	264	4	finite	finite	PROPN
ejpam-4124	264	5	element	element	NOUN
ejpam-4124	264	6	and	and	CCONJ
ejpam-4124	264	7	finite	finite	ADJ
ejpam-4124	264	8	volume	volume	NOUN
ejpam-4124	264	9	methods	method	NOUN
ejpam-4124	264	10	applied	apply	VERB
ejpam-4124	264	11	to	to	ADP
ejpam-4124	264	12	two	two	NUM
ejpam-4124	264	13	-	-	PUNCT
ejpam-4124	264	14	point	point	NOUN
ejpam-4124	264	15	boundary	boundary	ADJ
ejpam-4124	264	16	value	value	NOUN
ejpam-4124	264	17	problems	problem	NOUN
ejpam-4124	264	18	.	.	PUNCT
ejpam-4124	265	1	journal	journal	NOUN
ejpam-4124	265	2	of	of	ADP
ejpam-4124	265	3	computational	computational	ADJ
ejpam-4124	265	4	and	and	CCONJ
ejpam-4124	265	5	applied	applied	ADJ
ejpam-4124	265	6	mathematics	mathematic	NOUN
ejpam-4124	265	7	,	,	PUNCT
ejpam-4124	265	8	139(1	139(1	NUM
ejpam-4124	265	9	)	)	PUNCT
ejpam-4124	265	10	,	,	PUNCT
ejpam-4124	265	11	9	9	NUM
ejpam-4124	265	12	-	-	SYM
ejpam-4124	265	13	19	19	NUM
ejpam-4124	265	14	.	.	PUNCT
ejpam-4124	265	15	references	reference	NOUN
ejpam-4124	265	16	1293	1293	NUM
ejpam-4124	265	17	[	[	X
ejpam-4124	265	18	4	4	NUM
ejpam-4124	265	19	]	]	X
ejpam-4124	265	20	chun	chun	PROPN
ejpam-4124	265	21	,	,	PUNCT
ejpam-4124	265	22	c.	c.	PROPN
ejpam-4124	265	23	and	and	CCONJ
ejpam-4124	265	24	sakthivel	sakthivel	NOUN
ejpam-4124	265	25	,	,	PUNCT
ejpam-4124	265	26	r.	r.	PROPN
ejpam-4124	265	27	(	(	PUNCT
ejpam-4124	265	28	2010	2010	NUM
ejpam-4124	265	29	)	)	PUNCT
ejpam-4124	265	30	.	.	PUNCT
ejpam-4124	266	1	homotopy	homotopy	VERB
ejpam-4124	266	2	perturbation	perturbation	NOUN
ejpam-4124	266	3	technique	technique	NOUN
ejpam-4124	266	4	for	for	ADP
ejpam-4124	266	5	solving	solve	VERB
ejpam-4124	266	6	twopoint	twopoint	NOUN
ejpam-4124	266	7	boundary	boundary	ADJ
ejpam-4124	266	8	value	value	NOUN
ejpam-4124	266	9	problems	problem	NOUN
ejpam-4124	266	10	–	–	PUNCT
ejpam-4124	266	11	comparison	comparison	NOUN
ejpam-4124	266	12	with	with	ADP
ejpam-4124	266	13	other	other	ADJ
ejpam-4124	266	14	methods	method	NOUN
ejpam-4124	266	15	.	.	PUNCT
ejpam-4124	267	1	computer	computer	NOUN
ejpam-4124	267	2	physics	physics	NOUN
ejpam-4124	267	3	communications	communication	NOUN
ejpam-4124	267	4	,	,	PUNCT
ejpam-4124	267	5	181(6	181(6	NUM
ejpam-4124	267	6	)	)	PUNCT
ejpam-4124	267	7	,	,	PUNCT
ejpam-4124	267	8	1021	1021	NUM
ejpam-4124	267	9	-	-	SYM
ejpam-4124	267	10	1024	1024	NUM
ejpam-4124	267	11	.	.	PUNCT
ejpam-4124	268	1	[	[	X
ejpam-4124	268	2	5	5	NUM
ejpam-4124	268	3	]	]	SYM
ejpam-4124	268	4	lu	lu	PROPN
ejpam-4124	268	5	,	,	PUNCT
ejpam-4124	268	6	j.	j.	PROPN
ejpam-4124	268	7	(	(	PUNCT
ejpam-4124	268	8	2007	2007	NUM
ejpam-4124	268	9	)	)	PUNCT
ejpam-4124	268	10	.	.	PUNCT
ejpam-4124	269	1	variational	variational	ADJ
ejpam-4124	269	2	iteration	iteration	NOUN
ejpam-4124	269	3	method	method	NOUN
ejpam-4124	269	4	for	for	ADP
ejpam-4124	269	5	solving	solve	VERB
ejpam-4124	269	6	two	two	NUM
ejpam-4124	269	7	-	-	PUNCT
ejpam-4124	269	8	point	point	NOUN
ejpam-4124	269	9	boundary	boundary	ADJ
ejpam-4124	269	10	value	value	NOUN
ejpam-4124	269	11	problems	problem	NOUN
ejpam-4124	269	12	.	.	PUNCT
ejpam-4124	270	1	journal	journal	NOUN
ejpam-4124	270	2	of	of	ADP
ejpam-4124	270	3	computational	computational	ADJ
ejpam-4124	270	4	and	and	CCONJ
ejpam-4124	270	5	applied	applied	ADJ
ejpam-4124	270	6	mathematics	mathematic	NOUN
ejpam-4124	270	7	,	,	PUNCT
ejpam-4124	270	8	207(1	207(1	NUM
ejpam-4124	270	9	)	)	PUNCT
ejpam-4124	270	10	,	,	PUNCT
ejpam-4124	270	11	92	92	NUM
ejpam-4124	270	12	-	-	SYM
ejpam-4124	270	13	95	95	NUM
ejpam-4124	270	14	.	.	PUNCT
ejpam-4124	271	1	[	[	X
ejpam-4124	271	2	6	6	NUM
ejpam-4124	271	3	]	]	X
ejpam-4124	271	4	jang	jang	PROPN
ejpam-4124	271	5	,	,	PUNCT
ejpam-4124	271	6	b.	b.	PROPN
ejpam-4124	271	7	(	(	PUNCT
ejpam-4124	271	8	2008	2008	NUM
ejpam-4124	271	9	)	)	PUNCT
ejpam-4124	271	10	.	.	PUNCT
ejpam-4124	271	11	two	two	NUM
ejpam-4124	271	12	-	-	PUNCT
ejpam-4124	271	13	point	point	NOUN
ejpam-4124	271	14	boundary	boundary	ADJ
ejpam-4124	271	15	value	value	NOUN
ejpam-4124	271	16	problems	problem	NOUN
ejpam-4124	271	17	by	by	ADP
ejpam-4124	271	18	the	the	DET
ejpam-4124	271	19	extended	extended	ADJ
ejpam-4124	271	20	adomian	adomian	NOUN
ejpam-4124	271	21	decomposition	decomposition	NOUN
ejpam-4124	271	22	method	method	NOUN
ejpam-4124	271	23	.	.	PUNCT
ejpam-4124	272	1	journal	journal	NOUN
ejpam-4124	272	2	of	of	ADP
ejpam-4124	272	3	computational	computational	ADJ
ejpam-4124	272	4	and	and	CCONJ
ejpam-4124	272	5	applied	applied	ADJ
ejpam-4124	272	6	mathematics	mathematic	NOUN
ejpam-4124	272	7	,	,	PUNCT
ejpam-4124	272	8	219(1	219(1	NUM
ejpam-4124	272	9	)	)	PUNCT
ejpam-4124	272	10	,	,	PUNCT
ejpam-4124	272	11	253	253	NUM
ejpam-4124	272	12	-	-	SYM
ejpam-4124	272	13	262	262	NUM
ejpam-4124	272	14	.	.	PUNCT
ejpam-4124	273	1	[	[	X
ejpam-4124	273	2	7	7	NUM
ejpam-4124	273	3	]	]	X
ejpam-4124	273	4	costabile	costabile	NOUN
ejpam-4124	273	5	,	,	PUNCT
ejpam-4124	273	6	f.	f.	PROPN
ejpam-4124	273	7	and	and	CCONJ
ejpam-4124	273	8	napoli	napoli	PROPN
ejpam-4124	273	9	,	,	PUNCT
ejpam-4124	273	10	a.	a.	NOUN
ejpam-4124	273	11	(	(	PUNCT
ejpam-4124	273	12	2016	2016	NUM
ejpam-4124	273	13	)	)	PUNCT
ejpam-4124	273	14	.	.	PUNCT
ejpam-4124	274	1	a	a	DET
ejpam-4124	274	2	new	new	ADJ
ejpam-4124	274	3	spectral	spectral	ADJ
ejpam-4124	274	4	method	method	NOUN
ejpam-4124	274	5	for	for	ADP
ejpam-4124	274	6	a	a	DET
ejpam-4124	274	7	class	class	NOUN
ejpam-4124	274	8	of	of	ADP
ejpam-4124	274	9	linear	linear	PROPN
ejpam-4124	274	10	boundary	boundary	ADJ
ejpam-4124	274	11	value	value	NOUN
ejpam-4124	274	12	problems	problem	NOUN
ejpam-4124	274	13	.	.	PUNCT
ejpam-4124	275	1	journal	journal	NOUN
ejpam-4124	275	2	of	of	ADP
ejpam-4124	275	3	computational	computational	ADJ
ejpam-4124	275	4	and	and	CCONJ
ejpam-4124	275	5	applied	applied	ADJ
ejpam-4124	275	6	mathematics	mathematic	NOUN
ejpam-4124	275	7	,	,	PUNCT
ejpam-4124	275	8	292	292	NUM
ejpam-4124	275	9	,	,	PUNCT
ejpam-4124	275	10	392	392	NUM
ejpam-4124	275	11	-	-	SYM
ejpam-4124	275	12	341	341	NUM
ejpam-4124	275	13	.	.	PUNCT
ejpam-4124	276	1	[	[	X
ejpam-4124	276	2	8	8	NUM
ejpam-4124	276	3	]	]	SYM
ejpam-4124	276	4	li	li	PROPN
ejpam-4124	276	5	,	,	PUNCT
ejpam-4124	276	6	z.	z.	PROPN
ejpam-4124	276	7	y.	y.	PROPN
ejpam-4124	276	8	,	,	PUNCT
ejpam-4124	276	9	wang	wang	PROPN
ejpam-4124	276	10	,	,	PUNCT
ejpam-4124	276	11	y.	y.	PROPN
ejpam-4124	276	12	l.	l.	PROPN
ejpam-4124	276	13	,	,	PUNCT
ejpam-4124	276	14	tan	tan	PROPN
ejpam-4124	276	15	,	,	PUNCT
ejpam-4124	276	16	f.	f.	PROPN
ejpam-4124	276	17	g.	g.	PROPN
ejpam-4124	276	18	,	,	PUNCT
ejpam-4124	276	19	wan	wan	PROPN
ejpam-4124	276	20	,	,	PUNCT
ejpam-4124	276	21	x.	x.	PROPN
ejpam-4124	276	22	h.	h.	PROPN
ejpam-4124	276	23	,	,	PUNCT
ejpam-4124	276	24	yu	yu	PROPN
ejpam-4124	276	25	,	,	PUNCT
ejpam-4124	276	26	h.	h.	PROPN
ejpam-4124	276	27	,	,	PUNCT
ejpam-4124	276	28	and	and	CCONJ
ejpam-4124	276	29	duan	duan	PROPN
ejpam-4124	276	30	,	,	PUNCT
ejpam-4124	276	31	j.	j.	PROPN
ejpam-4124	276	32	s.	s.	PROPN
ejpam-4124	276	33	(	(	PUNCT
ejpam-4124	276	34	2015	2015	NUM
ejpam-4124	276	35	)	)	PUNCT
ejpam-4124	276	36	.	.	PUNCT
ejpam-4124	277	1	solving	solve	VERB
ejpam-4124	277	2	a	a	DET
ejpam-4124	277	3	class	class	NOUN
ejpam-4124	277	4	of	of	ADP
ejpam-4124	277	5	linear	linear	ADJ
ejpam-4124	277	6	nonlocal	nonlocal	ADJ
ejpam-4124	277	7	boundary	boundary	ADJ
ejpam-4124	277	8	value	value	NOUN
ejpam-4124	277	9	problems	problem	NOUN
ejpam-4124	277	10	using	use	VERB
ejpam-4124	277	11	the	the	DET
ejpam-4124	277	12	reproducing	reproduce	VERB
ejpam-4124	277	13	kernel	kernel	NOUN
ejpam-4124	277	14	.	.	PUNCT
ejpam-4124	278	1	applied	apply	VERB
ejpam-4124	278	2	mathematics	mathematic	NOUN
ejpam-4124	278	3	and	and	CCONJ
ejpam-4124	278	4	computation	computation	NOUN
ejpam-4124	278	5	,	,	PUNCT
ejpam-4124	278	6	265	265	NUM
ejpam-4124	278	7	,	,	PUNCT
ejpam-4124	278	8	1098	1098	NUM
ejpam-4124	278	9	-	-	SYM
ejpam-4124	278	10	1105	1105	NUM
ejpam-4124	278	11	.	.	PUNCT
ejpam-4124	279	1	[	[	X
ejpam-4124	279	2	9	9	NUM
ejpam-4124	279	3	]	]	SYM
ejpam-4124	279	4	geng	geng	PROPN
ejpam-4124	279	5	,	,	PUNCT
ejpam-4124	279	6	f.	f.	PROPN
ejpam-4124	279	7	z.	z.	PROPN
ejpam-4124	279	8	,	,	PUNCT
ejpam-4124	279	9	and	and	CCONJ
ejpam-4124	279	10	qian	qian	PROPN
ejpam-4124	279	11	,	,	PUNCT
ejpam-4124	279	12	s.	s.	PROPN
ejpam-4124	279	13	p.	p.	PROPN
ejpam-4124	279	14	(	(	PUNCT
ejpam-4124	279	15	2014	2014	NUM
ejpam-4124	279	16	)	)	PUNCT
ejpam-4124	279	17	.	.	PUNCT
ejpam-4124	280	1	a	a	DET
ejpam-4124	280	2	new	new	ADJ
ejpam-4124	280	3	reproducing	reproduce	VERB
ejpam-4124	280	4	kernel	kernel	NOUN
ejpam-4124	280	5	method	method	NOUN
ejpam-4124	280	6	for	for	ADP
ejpam-4124	280	7	linear	linear	ADJ
ejpam-4124	280	8	nonlocal	nonlocal	ADJ
ejpam-4124	280	9	boundary	boundary	ADJ
ejpam-4124	280	10	value	value	NOUN
ejpam-4124	280	11	problems	problem	NOUN
ejpam-4124	280	12	.	.	PUNCT
ejpam-4124	281	1	applied	apply	VERB
ejpam-4124	281	2	mathematics	mathematic	NOUN
ejpam-4124	281	3	and	and	CCONJ
ejpam-4124	281	4	computation	computation	NOUN
ejpam-4124	281	5	,	,	PUNCT
ejpam-4124	281	6	248	248	NUM
ejpam-4124	281	7	,	,	PUNCT
ejpam-4124	281	8	421425	421425	NUM
ejpam-4124	281	9	.	.	PUNCT
ejpam-4124	282	1	[	[	X
ejpam-4124	282	2	10	10	NUM
ejpam-4124	282	3	]	]	PUNCT
ejpam-4124	282	4	albasiny	albasiny	PROPN
ejpam-4124	282	5	,	,	PUNCT
ejpam-4124	282	6	e.	e.	PROPN
ejpam-4124	282	7	l.	l.	PROPN
ejpam-4124	282	8	,	,	PUNCT
ejpam-4124	282	9	and	and	CCONJ
ejpam-4124	282	10	hoskins	hoskin	NOUN
ejpam-4124	282	11	,	,	PUNCT
ejpam-4124	282	12	w.	w.	PROPN
ejpam-4124	282	13	d.	d.	PROPN
ejpam-4124	282	14	(	(	PUNCT
ejpam-4124	282	15	1969	1969	NUM
ejpam-4124	282	16	)	)	PUNCT
ejpam-4124	282	17	.	.	PUNCT
ejpam-4124	283	1	cubic	cubic	ADJ
ejpam-4124	283	2	spline	spline	PROPN
ejpam-4124	283	3	solutions	solution	NOUN
ejpam-4124	283	4	to	to	ADP
ejpam-4124	283	5	two	two	NUM
ejpam-4124	283	6	-	-	PUNCT
ejpam-4124	283	7	point	point	NOUN
ejpam-4124	283	8	boundary	boundary	ADJ
ejpam-4124	283	9	value	value	NOUN
ejpam-4124	283	10	problems	problem	NOUN
ejpam-4124	283	11	.	.	PUNCT
ejpam-4124	284	1	the	the	DET
ejpam-4124	284	2	computer	computer	NOUN
ejpam-4124	284	3	journal	journal	NOUN
ejpam-4124	284	4	,	,	PUNCT
ejpam-4124	284	5	12(2	12(2	NUM
ejpam-4124	284	6	)	)	PUNCT
ejpam-4124	284	7	,	,	PUNCT
ejpam-4124	284	8	151	151	NUM
ejpam-4124	284	9	-	-	SYM
ejpam-4124	284	10	153	153	NUM
ejpam-4124	284	11	.	.	PUNCT
ejpam-4124	285	1	[	[	X
ejpam-4124	285	2	11	11	NUM
ejpam-4124	285	3	]	]	PUNCT
ejpam-4124	285	4	fyfe	fyfe	PROPN
ejpam-4124	285	5	,	,	PUNCT
ejpam-4124	285	6	d.	d.	PROPN
ejpam-4124	285	7	j.	j.	PROPN
ejpam-4124	285	8	(	(	PUNCT
ejpam-4124	285	9	1969	1969	NUM
ejpam-4124	285	10	)	)	PUNCT
ejpam-4124	285	11	.	.	PUNCT
ejpam-4124	286	1	the	the	DET
ejpam-4124	286	2	use	use	NOUN
ejpam-4124	286	3	of	of	ADP
ejpam-4124	286	4	cubic	cubic	ADJ
ejpam-4124	286	5	splines	spline	NOUN
ejpam-4124	286	6	in	in	ADP
ejpam-4124	286	7	the	the	DET
ejpam-4124	286	8	solution	solution	NOUN
ejpam-4124	286	9	of	of	ADP
ejpam-4124	286	10	two	two	NUM
ejpam-4124	286	11	-	-	PUNCT
ejpam-4124	286	12	point	point	NOUN
ejpam-4124	286	13	boundary	boundary	ADJ
ejpam-4124	286	14	value	value	NOUN
ejpam-4124	286	15	problems	problem	NOUN
ejpam-4124	286	16	.	.	PUNCT
ejpam-4124	287	1	the	the	DET
ejpam-4124	287	2	computer	computer	NOUN
ejpam-4124	287	3	journal	journal	NOUN
ejpam-4124	287	4	,	,	PUNCT
ejpam-4124	287	5	12(2	12(2	NUM
ejpam-4124	287	6	)	)	PUNCT
ejpam-4124	287	7	,	,	PUNCT
ejpam-4124	287	8	188	188	NUM
ejpam-4124	287	9	-	-	SYM
ejpam-4124	287	10	192	192	NUM
ejpam-4124	287	11	.	.	PUNCT
ejpam-4124	288	1	[	[	X
ejpam-4124	288	2	12	12	NUM
ejpam-4124	288	3	]	]	X
ejpam-4124	288	4	al	al	PROPN
ejpam-4124	288	5	-	-	PUNCT
ejpam-4124	288	6	said	say	VERB
ejpam-4124	288	7	,	,	PUNCT
ejpam-4124	288	8	e.	e.	PROPN
ejpam-4124	288	9	a.	a.	PROPN
ejpam-4124	288	10	(	(	PUNCT
ejpam-4124	288	11	1998	1998	NUM
ejpam-4124	288	12	)	)	PUNCT
ejpam-4124	288	13	.	.	PUNCT
ejpam-4124	289	1	cubic	cubic	ADJ
ejpam-4124	289	2	spline	spline	PROPN
ejpam-4124	289	3	method	method	NOUN
ejpam-4124	289	4	for	for	ADP
ejpam-4124	289	5	solving	solve	VERB
ejpam-4124	289	6	two	two	NUM
ejpam-4124	289	7	-	-	PUNCT
ejpam-4124	289	8	point	point	NOUN
ejpam-4124	289	9	boundary	boundary	ADJ
ejpam-4124	289	10	-	-	PUNCT
ejpam-4124	289	11	value	value	NOUN
ejpam-4124	289	12	problems	problem	NOUN
ejpam-4124	289	13	.	.	PUNCT
ejpam-4124	290	1	korean	korean	ADJ
ejpam-4124	290	2	journal	journal	PROPN
ejpam-4124	290	3	of	of	ADP
ejpam-4124	290	4	computitional	computitional	ADJ
ejpam-4124	290	5	and	and	CCONJ
ejpam-4124	290	6	applied	apply	VERB
ejpam-4124	290	7	mathematics	mathematic	NOUN
ejpam-4124	290	8	,	,	PUNCT
ejpam-4124	290	9	5(3	5(3	NUM
ejpam-4124	290	10	)	)	PUNCT
ejpam-4124	290	11	,	,	PUNCT
ejpam-4124	290	12	669	669	NUM
ejpam-4124	290	13	-	-	SYM
ejpam-4124	290	14	680	680	NUM
ejpam-4124	290	15	.	.	PUNCT
ejpam-4124	291	1	[	[	X
ejpam-4124	291	2	13	13	NUM
ejpam-4124	291	3	]	]	X
ejpam-4124	291	4	khan	khan	PROPN
ejpam-4124	291	5	,	,	PUNCT
ejpam-4124	291	6	a.	a.	NOUN
ejpam-4124	291	7	(	(	PUNCT
ejpam-4124	291	8	2004	2004	NUM
ejpam-4124	291	9	)	)	PUNCT
ejpam-4124	291	10	.	.	PUNCT
ejpam-4124	292	1	parametric	parametric	PROPN
ejpam-4124	292	2	cubic	cubic	PROPN
ejpam-4124	292	3	spline	spline	NOUN
ejpam-4124	292	4	solution	solution	NOUN
ejpam-4124	292	5	of	of	ADP
ejpam-4124	292	6	two	two	NUM
ejpam-4124	292	7	point	point	NOUN
ejpam-4124	292	8	boundary	boundary	ADJ
ejpam-4124	292	9	value	value	NOUN
ejpam-4124	292	10	problems	problem	NOUN
ejpam-4124	292	11	.	.	PUNCT
ejpam-4124	293	1	applied	apply	VERB
ejpam-4124	293	2	mathematics	mathematic	NOUN
ejpam-4124	293	3	and	and	CCONJ
ejpam-4124	293	4	computation	computation	NOUN
ejpam-4124	293	5	,	,	PUNCT
ejpam-4124	293	6	154(1	154(1	NUM
ejpam-4124	293	7	)	)	PUNCT
ejpam-4124	293	8	,	,	PUNCT
ejpam-4124	293	9	175	175	NUM
ejpam-4124	293	10	-	-	SYM
ejpam-4124	293	11	182	182	NUM
ejpam-4124	293	12	.	.	PUNCT
ejpam-4124	294	1	[	[	X
ejpam-4124	294	2	14	14	NUM
ejpam-4124	294	3	]	]	PUNCT
ejpam-4124	294	4	abukhaled	abukhale	VERB
ejpam-4124	294	5	,	,	PUNCT
ejpam-4124	294	6	m.	m.	NOUN
ejpam-4124	294	7	(	(	PUNCT
ejpam-4124	294	8	2017	2017	NUM
ejpam-4124	294	9	)	)	PUNCT
ejpam-4124	294	10	.	.	PUNCT
ejpam-4124	295	1	green	green	PROPN
ejpam-4124	295	2	’s	’s	PART
ejpam-4124	295	3	function	function	NOUN
ejpam-4124	295	4	iterative	iterative	NOUN
ejpam-4124	295	5	method	method	NOUN
ejpam-4124	295	6	for	for	ADP
ejpam-4124	295	7	solving	solve	VERB
ejpam-4124	295	8	a	a	DET
ejpam-4124	295	9	class	class	NOUN
ejpam-4124	295	10	of	of	ADP
ejpam-4124	295	11	boundary	boundary	ADJ
ejpam-4124	295	12	value	value	NOUN
ejpam-4124	295	13	problems	problem	NOUN
ejpam-4124	295	14	arising	arise	VERB
ejpam-4124	295	15	in	in	ADP
ejpam-4124	295	16	heat	heat	NOUN
ejpam-4124	295	17	transfer	transfer	NOUN
ejpam-4124	295	18	.	.	PUNCT
ejpam-4124	296	1	appl	appl	PROPN
ejpam-4124	296	2	.	.	PROPN
ejpam-4124	297	1	math	math	PROPN
ejpam-4124	297	2	.	.	PUNCT
ejpam-4124	298	1	inf	inf	PROPN
ejpam-4124	298	2	.	.	PUNCT
ejpam-4124	299	1	sci	sci	PROPN
ejpam-4124	299	2	,	,	PUNCT
ejpam-4124	299	3	11(1	11(1	NUM
ejpam-4124	299	4	)	)	PUNCT
ejpam-4124	299	5	,	,	PUNCT
ejpam-4124	299	6	229	229	NUM
ejpam-4124	299	7	-	-	SYM
ejpam-4124	299	8	234	234	NUM
ejpam-4124	299	9	.	.	PUNCT
ejpam-4124	300	1	[	[	X
ejpam-4124	300	2	15	15	NUM
ejpam-4124	300	3	]	]	X
ejpam-4124	300	4	caglar	caglar	ADJ
ejpam-4124	300	5	,	,	PUNCT
ejpam-4124	300	6	h.	h.	PROPN
ejpam-4124	300	7	,	,	PUNCT
ejpam-4124	300	8	caglar	caglar	ADJ
ejpam-4124	300	9	,	,	PUNCT
ejpam-4124	300	10	n.	n.	NOUN
ejpam-4124	300	11	,	,	PUNCT
ejpam-4124	300	12	and	and	CCONJ
ejpam-4124	300	13	elfaituri	elfaituri	VERB
ejpam-4124	300	14	,	,	PUNCT
ejpam-4124	300	15	k.	k.	PROPN
ejpam-4124	300	16	(	(	PUNCT
ejpam-4124	300	17	2006	2006	NUM
ejpam-4124	300	18	)	)	PUNCT
ejpam-4124	300	19	.	.	PUNCT
ejpam-4124	301	1	b	b	X
ejpam-4124	301	2	-	-	PUNCT
ejpam-4124	301	3	spline	spline	NOUN
ejpam-4124	301	4	interpolation	interpolation	NOUN
ejpam-4124	301	5	compared	compare	VERB
ejpam-4124	301	6	with	with	ADP
ejpam-4124	301	7	finite	finite	ADJ
ejpam-4124	301	8	difference	difference	NOUN
ejpam-4124	301	9	,	,	PUNCT
ejpam-4124	301	10	finite	finite	PROPN
ejpam-4124	301	11	element	element	NOUN
ejpam-4124	301	12	and	and	CCONJ
ejpam-4124	301	13	finite	finite	ADJ
ejpam-4124	301	14	volume	volume	NOUN
ejpam-4124	301	15	methods	method	NOUN
ejpam-4124	301	16	which	which	PRON
ejpam-4124	301	17	applied	apply	VERB
ejpam-4124	301	18	to	to	ADP
ejpam-4124	301	19	two	two	NUM
ejpam-4124	301	20	-	-	PUNCT
ejpam-4124	301	21	point	point	NOUN
ejpam-4124	301	22	boundary	boundary	ADJ
ejpam-4124	301	23	value	value	NOUN
ejpam-4124	301	24	problems	problem	NOUN
ejpam-4124	301	25	.	.	PUNCT
ejpam-4124	302	1	applied	apply	VERB
ejpam-4124	302	2	mathematics	mathematic	NOUN
ejpam-4124	302	3	and	and	CCONJ
ejpam-4124	302	4	computation	computation	NOUN
ejpam-4124	302	5	,	,	PUNCT
ejpam-4124	302	6	175(1	175(1	NUM
ejpam-4124	302	7	)	)	PUNCT
ejpam-4124	302	8	,	,	PUNCT
ejpam-4124	302	9	72	72	NUM
ejpam-4124	302	10	-	-	SYM
ejpam-4124	302	11	79	79	NUM
ejpam-4124	302	12	.	.	PUNCT
ejpam-4124	303	1	[	[	X
ejpam-4124	303	2	16	16	NUM
ejpam-4124	303	3	]	]	X
ejpam-4124	303	4	hamid	hamid	PROPN
ejpam-4124	303	5	,	,	PUNCT
ejpam-4124	303	6	n.	n.	PROPN
ejpam-4124	303	7	n.	n.	PROPN
ejpam-4124	303	8	,	,	PUNCT
ejpam-4124	303	9	majid	majid	PROPN
ejpam-4124	303	10	,	,	PUNCT
ejpam-4124	303	11	a.	a.	NOUN
ejpam-4124	303	12	a.	a.	PROPN
ejpam-4124	303	13	,	,	PUNCT
ejpam-4124	303	14	and	and	CCONJ
ejpam-4124	303	15	ismail	ismail	NOUN
ejpam-4124	303	16	,	,	PUNCT
ejpam-4124	303	17	a.	a.	PROPN
ejpam-4124	303	18	i.	i.	PROPN
ejpam-4124	303	19	m.	m.	PROPN
ejpam-4124	303	20	(	(	PUNCT
ejpam-4124	303	21	2010	2010	NUM
ejpam-4124	303	22	)	)	PUNCT
ejpam-4124	303	23	.	.	PUNCT
ejpam-4124	304	1	cubic	cubic	ADJ
ejpam-4124	304	2	trigonometric	trigonometric	ADJ
ejpam-4124	304	3	b	b	X
ejpam-4124	304	4	-	-	PUNCT
ejpam-4124	304	5	spline	spline	NOUN
ejpam-4124	304	6	applied	apply	VERB
ejpam-4124	304	7	to	to	AUX
ejpam-4124	304	8	linear	linear	VERB
ejpam-4124	304	9	two	two	NUM
ejpam-4124	304	10	-	-	PUNCT
ejpam-4124	304	11	point	point	NOUN
ejpam-4124	304	12	boundary	boundary	ADJ
ejpam-4124	304	13	value	value	NOUN
ejpam-4124	304	14	problems	problem	NOUN
ejpam-4124	304	15	of	of	ADP
ejpam-4124	304	16	order	order	NOUN
ejpam-4124	304	17	two	two	NUM
ejpam-4124	304	18	.	.	PUNCT
ejpam-4124	305	1	world	world	PROPN
ejpam-4124	305	2	academic	academic	NOUN
ejpam-4124	305	3	of	of	ADP
ejpam-4124	305	4	science	science	NOUN
ejpam-4124	305	5	,	,	PUNCT
ejpam-4124	305	6	engineering	engineering	NOUN
ejpam-4124	305	7	and	and	CCONJ
ejpam-4124	305	8	technology	technology	NOUN
ejpam-4124	305	9	,	,	PUNCT
ejpam-4124	305	10	47	47	NUM
ejpam-4124	305	11	,	,	PUNCT
ejpam-4124	305	12	478	478	NUM
ejpam-4124	305	13	-	-	SYM
ejpam-4124	305	14	803	803	NUM
ejpam-4124	305	15	.	.	PUNCT
ejpam-4124	306	1	references	reference	NOUN
ejpam-4124	306	2	1294	1294	NUM
ejpam-4124	306	3	[	[	X
ejpam-4124	306	4	17	17	NUM
ejpam-4124	306	5	]	]	SYM
ejpam-4124	306	6	heilat	heilat	NOUN
ejpam-4124	306	7	,	,	PUNCT
ejpam-4124	306	8	a.	a.	PROPN
ejpam-4124	306	9	s.	s.	PROPN
ejpam-4124	306	10	,	,	PUNCT
ejpam-4124	306	11	hamid	hamid	PROPN
ejpam-4124	306	12	,	,	PUNCT
ejpam-4124	306	13	n.	n.	PROPN
ejpam-4124	306	14	n.	n.	PROPN
ejpam-4124	306	15	a.	a.	PROPN
ejpam-4124	306	16	,	,	PUNCT
ejpam-4124	306	17	and	and	CCONJ
ejpam-4124	306	18	ismail	ismail	NOUN
ejpam-4124	306	19	,	,	PUNCT
ejpam-4124	306	20	a.	a.	NOUN
ejpam-4124	306	21	i.	i.	PROPN
ejpam-4124	306	22	m.(2016	m.(2016	PROPN
ejpam-4124	306	23	)	)	PUNCT
ejpam-4124	306	24	.	.	PUNCT
ejpam-4124	307	1	extended	extend	VERB
ejpam-4124	307	2	cubic	cubic	ADJ
ejpam-4124	307	3	b	b	PROPN
ejpam-4124	307	4	-	-	PUNCT
ejpam-4124	307	5	spline	spline	NOUN
ejpam-4124	307	6	method	method	NOUN
ejpam-4124	307	7	for	for	ADP
ejpam-4124	307	8	solving	solve	VERB
ejpam-4124	307	9	a	a	DET
ejpam-4124	307	10	linear	linear	ADJ
ejpam-4124	307	11	system	system	NOUN
ejpam-4124	307	12	of	of	ADP
ejpam-4124	307	13	second	second	ADJ
ejpam-4124	307	14	-	-	PUNCT
ejpam-4124	307	15	order	order	NOUN
ejpam-4124	307	16	boundary	boundary	ADJ
ejpam-4124	307	17	value	value	NOUN
ejpam-4124	307	18	problems	problem	NOUN
ejpam-4124	307	19	.	.	PUNCT
ejpam-4124	308	1	springerplus	springerplus	PROPN
ejpam-4124	308	2	,	,	PUNCT
ejpam-4124	308	3	5(1	5(1	NUM
ejpam-4124	308	4	)	)	PUNCT
ejpam-4124	308	5	,	,	PUNCT
ejpam-4124	308	6	1314	1314	NUM
ejpam-4124	308	7	.	.	PUNCT
ejpam-4124	309	1	[	[	X
ejpam-4124	309	2	18	18	NUM
ejpam-4124	309	3	]	]	X
ejpam-4124	309	4	manni	manni	PROPN
ejpam-4124	309	5	,	,	PUNCT
ejpam-4124	309	6	c.	c.	PROPN
ejpam-4124	309	7	,	,	PUNCT
ejpam-4124	309	8	mazzia	mazzia	PROPN
ejpam-4124	309	9	,	,	PUNCT
ejpam-4124	309	10	f.	f.	PROPN
ejpam-4124	309	11	,	,	PUNCT
ejpam-4124	309	12	sestini	sestini	NOUN
ejpam-4124	309	13	,	,	PUNCT
ejpam-4124	309	14	a.	a.	NOUN
ejpam-4124	309	15	,	,	PUNCT
ejpam-4124	309	16	and	and	CCONJ
ejpam-4124	309	17	speleers	speleer	NOUN
ejpam-4124	309	18	,	,	PUNCT
ejpam-4124	309	19	h.	h.	PROPN
ejpam-4124	309	20	(	(	PUNCT
ejpam-4124	309	21	2015	2015	NUM
ejpam-4124	309	22	)	)	PUNCT
ejpam-4124	309	23	.	.	PUNCT
ejpam-4124	310	1	bs2	bs2	PROPN
ejpam-4124	310	2	methods	method	NOUN
ejpam-4124	310	3	for	for	ADP
ejpam-4124	310	4	semilinear	semilinear	ADJ
ejpam-4124	310	5	second	second	ADJ
ejpam-4124	310	6	order	order	NOUN
ejpam-4124	310	7	boundary	boundary	ADJ
ejpam-4124	310	8	value	value	NOUN
ejpam-4124	310	9	problems	problem	NOUN
ejpam-4124	310	10	.	.	PUNCT
ejpam-4124	311	1	applied	apply	VERB
ejpam-4124	311	2	mathematics	mathematic	NOUN
ejpam-4124	311	3	and	and	CCONJ
ejpam-4124	311	4	computation	computation	NOUN
ejpam-4124	311	5	,	,	PUNCT
ejpam-4124	311	6	255	255	NUM
ejpam-4124	311	7	,	,	PUNCT
ejpam-4124	311	8	147	147	NUM
ejpam-4124	311	9	-	-	SYM
ejpam-4124	311	10	156	156	NUM
ejpam-4124	311	11	.	.	PUNCT
ejpam-4124	312	1	[	[	X
ejpam-4124	312	2	19	19	NUM
ejpam-4124	312	3	]	]	SYM
ejpam-4124	312	4	mat	mat	NOUN
ejpam-4124	312	5	zin	zin	NOUN
ejpam-4124	312	6	,	,	PUNCT
ejpam-4124	312	7	s.	s.	PROPN
ejpam-4124	312	8	,	,	PUNCT
ejpam-4124	312	9	abd	abd	PROPN
ejpam-4124	312	10	majid	majid	PROPN
ejpam-4124	312	11	,	,	PUNCT
ejpam-4124	312	12	a.	a.	PROPN
ejpam-4124	312	13	,	,	PUNCT
ejpam-4124	312	14	ismail	ismail	PROPN
ejpam-4124	312	15	,	,	PUNCT
ejpam-4124	312	16	a.	a.	PROPN
ejpam-4124	312	17	i.	i.	PROPN
ejpam-4124	312	18	m.	m.	PROPN
ejpam-4124	312	19	,	,	PUNCT
ejpam-4124	312	20	and	and	CCONJ
ejpam-4124	312	21	abbas	abbas	PROPN
ejpam-4124	312	22	,	,	PUNCT
ejpam-4124	312	23	m.	m.	NOUN
ejpam-4124	312	24	(	(	PUNCT
ejpam-4124	312	25	2014	2014	NUM
ejpam-4124	312	26	)	)	PUNCT
ejpam-4124	312	27	.	.	PUNCT
ejpam-4124	313	1	application	application	NOUN
ejpam-4124	313	2	of	of	ADP
ejpam-4124	313	3	hybrid	hybrid	ADJ
ejpam-4124	313	4	cubic	cubic	ADJ
ejpam-4124	313	5	b	b	PROPN
ejpam-4124	313	6	-	-	PUNCT
ejpam-4124	313	7	spline	spline	NOUN
ejpam-4124	313	8	collocation	collocation	NOUN
ejpam-4124	313	9	approach	approach	NOUN
ejpam-4124	313	10	for	for	ADP
ejpam-4124	313	11	solving	solve	VERB
ejpam-4124	313	12	a	a	DET
ejpam-4124	313	13	generalized	generalized	ADJ
ejpam-4124	313	14	nonlinear	nonlinear	ADJ
ejpam-4124	313	15	klien	klien	PROPN
ejpam-4124	313	16	-	-	PUNCT
ejpam-4124	313	17	gordon	gordon	PROPN
ejpam-4124	313	18	equation	equation	NOUN
ejpam-4124	313	19	.	.	PUNCT
ejpam-4124	314	1	mathematical	mathematical	ADJ
ejpam-4124	314	2	problems	problem	NOUN
ejpam-4124	314	3	in	in	ADP
ejpam-4124	314	4	engineering	engineering	NOUN
ejpam-4124	314	5	,	,	PUNCT
ejpam-4124	314	6	2014	2014	NUM
ejpam-4124	314	7	.	.	PUNCT
ejpam-4124	315	1	[	[	X
ejpam-4124	315	2	20	20	NUM
ejpam-4124	315	3	]	]	SYM
ejpam-4124	315	4	abbas	abbas	PROPN
ejpam-4124	315	5	,	,	PUNCT
ejpam-4124	315	6	m.	m.	NOUN
ejpam-4124	315	7	,	,	PUNCT
ejpam-4124	315	8	majid	majid	PROPN
ejpam-4124	315	9	,	,	PUNCT
ejpam-4124	315	10	a.	a.	NOUN
ejpam-4124	315	11	a.	a.	PROPN
ejpam-4124	315	12	,	,	PUNCT
ejpam-4124	315	13	ismail	ismail	PROPN
ejpam-4124	315	14	,	,	PUNCT
ejpam-4124	315	15	a.	a.	PROPN
ejpam-4124	315	16	i.	i.	PROPN
ejpam-4124	315	17	m.	m.	PROPN
ejpam-4124	315	18	,	,	PUNCT
ejpam-4124	315	19	and	and	CCONJ
ejpam-4124	315	20	rashid	rashid	PROPN
ejpam-4124	315	21	,	,	PUNCT
ejpam-4124	315	22	a.	a.	NOUN
ejpam-4124	315	23	(	(	PUNCT
ejpam-4124	315	24	2014	2014	NUM
ejpam-4124	315	25	)	)	PUNCT
ejpam-4124	315	26	.	.	PUNCT
ejpam-4124	316	1	the	the	DET
ejpam-4124	316	2	application	application	NOUN
ejpam-4124	316	3	of	of	ADP
ejpam-4124	316	4	cubic	cubic	ADJ
ejpam-4124	316	5	trigonometric	trigonometric	ADJ
ejpam-4124	316	6	b	b	X
ejpam-4124	316	7	-	-	PUNCT
ejpam-4124	316	8	spline	spline	NOUN
ejpam-4124	316	9	to	to	ADP
ejpam-4124	316	10	the	the	DET
ejpam-4124	316	11	numerical	numerical	ADJ
ejpam-4124	316	12	solution	solution	NOUN
ejpam-4124	316	13	of	of	ADP
ejpam-4124	316	14	the	the	DET
ejpam-4124	316	15	hyperbolic	hyperbolic	ADJ
ejpam-4124	316	16	problems	problem	NOUN
ejpam-4124	316	17	.	.	PUNCT
ejpam-4124	317	1	applied	apply	VERB
ejpam-4124	317	2	mathematics	mathematic	NOUN
ejpam-4124	317	3	and	and	CCONJ
ejpam-4124	317	4	computation	computation	NOUN
ejpam-4124	317	5	,	,	PUNCT
ejpam-4124	317	6	239	239	NUM
ejpam-4124	317	7	,	,	PUNCT
ejpam-4124	317	8	74	74	NUM
ejpam-4124	317	9	-	-	SYM
ejpam-4124	317	10	88	88	NUM
ejpam-4124	317	11	.	.	PUNCT
ejpam-4124	318	1	[	[	X
ejpam-4124	318	2	21	21	NUM
ejpam-4124	318	3	]	]	PUNCT
ejpam-4124	318	4	he	he	PRON
ejpam-4124	318	5	,	,	PUNCT
ejpam-4124	318	6	j.	j.	PROPN
ejpam-4124	318	7	h.	h.	PROPN
ejpam-4124	318	8	,	,	PUNCT
ejpam-4124	318	9	and	and	CCONJ
ejpam-4124	318	10	ji	ji	PROPN
ejpam-4124	318	11	,	,	PUNCT
ejpam-4124	318	12	f.	f.	PROPN
ejpam-4124	318	13	y.	y.	PROPN
ejpam-4124	318	14	(	(	PUNCT
ejpam-4124	318	15	2019	2019	NUM
ejpam-4124	318	16	)	)	PUNCT
ejpam-4124	318	17	.	.	PUNCT
ejpam-4124	319	1	taylor	taylor	PROPN
ejpam-4124	319	2	series	series	PROPN
ejpam-4124	319	3	solution	solution	NOUN
ejpam-4124	319	4	for	for	ADP
ejpam-4124	319	5	lane	lane	NOUN
ejpam-4124	319	6	–	–	PUNCT
ejpam-4124	319	7	emden	emden	ADJ
ejpam-4124	319	8	equation	equation	NOUN
ejpam-4124	319	9	.	.	PUNCT
ejpam-4124	320	1	journal	journal	PROPN
ejpam-4124	320	2	of	of	ADP
ejpam-4124	320	3	mathematical	mathematical	ADJ
ejpam-4124	320	4	chemistry	chemistry	NOUN
ejpam-4124	320	5	,	,	PUNCT
ejpam-4124	320	6	57(8	57(8	NUM
ejpam-4124	320	7	)	)	PUNCT
ejpam-4124	320	8	,	,	PUNCT
ejpam-4124	320	9	1932	1932	NUM
ejpam-4124	320	10	-	-	SYM
ejpam-4124	320	11	1934	1934	NUM
ejpam-4124	320	12	.	.	PUNCT
ejpam-4124	321	1	[	[	X
ejpam-4124	321	2	22	22	NUM
ejpam-4124	321	3	]	]	X
ejpam-4124	321	4	abd	abd	PROPN
ejpam-4124	321	5	hamid	hamid	PROPN
ejpam-4124	321	6	nn	nn	PROPN
ejpam-4124	321	7	(	(	PUNCT
ejpam-4124	321	8	2010	2010	NUM
ejpam-4124	321	9	)	)	PUNCT
ejpam-4124	321	10	splines	spline	NOUN
ejpam-4124	321	11	for	for	ADP
ejpam-4124	321	12	linear	linear	ADJ
ejpam-4124	321	13	two	two	NUM
ejpam-4124	321	14	-	-	PUNCT
ejpam-4124	321	15	point	point	NOUN
ejpam-4124	321	16	boundary	boundary	ADJ
ejpam-4124	321	17	value	value	NOUN
ejpam-4124	321	18	problems	problem	NOUN
ejpam-4124	321	19	.	.	PUNCT
ejpam-4124	322	1	msc	msc	PROPN
ejpam-4124	322	2	thesis	thesis	PROPN
ejpam-4124	322	3	,	,	PUNCT
ejpam-4124	322	4	universiti	universiti	PROPN
ejpam-4124	322	5	sains	sain	VERB
ejpam-4124	322	6	malaysia	malaysia	PROPN
ejpam-4124	322	7	.	.	PUNCT
ejpam-4124	323	1	[	[	X
ejpam-4124	323	2	23	23	NUM
ejpam-4124	323	3	]	]	X
ejpam-4124	323	4	hamid	hamid	PROPN
ejpam-4124	323	5	,	,	PUNCT
ejpam-4124	323	6	n.	n.	PROPN
ejpam-4124	323	7	n.	n.	PROPN
ejpam-4124	323	8	a.	a.	PROPN
ejpam-4124	323	9	,	,	PUNCT
ejpam-4124	323	10	majid	majid	PROPN
ejpam-4124	323	11	,	,	PUNCT
ejpam-4124	323	12	a.	a.	NOUN
ejpam-4124	323	13	a.	a.	PROPN
ejpam-4124	323	14	,	,	PUNCT
ejpam-4124	323	15	and	and	CCONJ
ejpam-4124	323	16	ismail	ismail	NOUN
ejpam-4124	323	17	,	,	PUNCT
ejpam-4124	323	18	a.	a.	PROPN
ejpam-4124	323	19	i.	i.	PROPN
ejpam-4124	323	20	m.	m.	PROPN
ejpam-4124	323	21	(	(	PUNCT
ejpam-4124	323	22	2011	2011	NUM
ejpam-4124	323	23	)	)	PUNCT
ejpam-4124	323	24	.	.	PUNCT
ejpam-4124	324	1	extended	extend	VERB
ejpam-4124	324	2	cubic	cubic	ADJ
ejpam-4124	324	3	b	b	PROPN
ejpam-4124	324	4	-	-	PUNCT
ejpam-4124	324	5	spline	spline	NOUN
ejpam-4124	324	6	method	method	NOUN
ejpam-4124	324	7	for	for	ADP
ejpam-4124	324	8	linear	linear	ADJ
ejpam-4124	324	9	two	two	NUM
ejpam-4124	324	10	-	-	PUNCT
ejpam-4124	324	11	point	point	NOUN
ejpam-4124	324	12	boundary	boundary	ADJ
ejpam-4124	324	13	value	value	NOUN
ejpam-4124	324	14	problems	problem	NOUN
ejpam-4124	324	15	.	.	PUNCT
ejpam-4124	325	1	sains	sain	NOUN
ejpam-4124	325	2	malaysiana	malaysiana	PROPN
ejpam-4124	325	3	,	,	PUNCT
ejpam-4124	325	4	40(11	40(11	PROPN
ejpam-4124	325	5	)	)	PUNCT
ejpam-4124	325	6	,	,	PUNCT
ejpam-4124	325	7	12851290	12851290	NUM
ejpam-4124	325	8	.	.	PUNCT
ejpam-4124	326	1	[	[	X
ejpam-4124	326	2	24	24	NUM
ejpam-4124	326	3	]	]	SYM
ejpam-4124	326	4	usharani	usharani	NOUN
ejpam-4124	326	5	,	,	PUNCT
ejpam-4124	326	6	r.	r.	PROPN
ejpam-4124	326	7	,	,	PUNCT
ejpam-4124	326	8	rajendran	rajendran	PROPN
ejpam-4124	326	9	,	,	PUNCT
ejpam-4124	326	10	l.	l.	PROPN
ejpam-4124	326	11	,	,	PUNCT
ejpam-4124	326	12	abukhaled	abukhale	VERB
ejpam-4124	326	13	,	,	PUNCT
ejpam-4124	326	14	m.	m.	NOUN
ejpam-4124	326	15	(	(	PUNCT
ejpam-4124	326	16	2021	2021	NUM
ejpam-4124	326	17	)	)	PUNCT
ejpam-4124	326	18	.	.	PUNCT
ejpam-4124	327	1	approximations	approximation	NOUN
ejpam-4124	327	2	for	for	ADP
ejpam-4124	327	3	the	the	DET
ejpam-4124	327	4	concentration	concentration	NOUN
ejpam-4124	327	5	and	and	CCONJ
ejpam-4124	327	6	effectiveness	effectiveness	NOUN
ejpam-4124	327	7	factor	factor	NOUN
ejpam-4124	327	8	in	in	ADP
ejpam-4124	327	9	porous	porous	ADJ
ejpam-4124	327	10	catalysts	catalyst	NOUN
ejpam-4124	327	11	of	of	ADP
ejpam-4124	327	12	arbitrary	arbitrary	ADJ
ejpam-4124	327	13	shape	shape	NOUN
ejpam-4124	327	14	:	:	PUNCT
ejpam-4124	327	15	taylor	taylor	PROPN
ejpam-4124	327	16	series	series	PROPN
ejpam-4124	327	17	and	and	CCONJ
ejpam-4124	327	18	akbari	akbari	PROPN
ejpam-4124	327	19	-	-	PUNCT
ejpam-4124	327	20	ganji	ganji	NOUN
ejpam-4124	327	21	’s	’s	PART
ejpam-4124	327	22	methods	method	NOUN
ejpam-4124	327	23	.	.	PUNCT
ejpam-4124	328	1	mathematical	mathematical	ADJ
ejpam-4124	328	2	modelling	modelling	NOUN
ejpam-4124	328	3	of	of	ADP
ejpam-4124	328	4	engineering	engineering	NOUN
ejpam-4124	328	5	problems	problem	NOUN
ejpam-4124	328	6	,	,	PUNCT
ejpam-4124	328	7	vol	vol	NOUN
ejpam-4124	328	8	.	.	PROPN
ejpam-4124	328	9	8	8	NUM
ejpam-4124	328	10	,	,	PUNCT
ejpam-4124	328	11	no	no	INTJ
ejpam-4124	328	12	.	.	NOUN
ejpam-4124	328	13	4	4	NUM
ejpam-4124	328	14	,	,	PUNCT
ejpam-4124	328	15	pp	pp	ADJ
ejpam-4124	328	16	.	.	PUNCT
ejpam-4124	329	1	527	527	NUM
ejpam-4124	329	2	-	-	SYM
ejpam-4124	329	3	537	537	NUM
ejpam-4124	329	4	.	.	PUNCT
ejpam-4124	330	1	[	[	X
ejpam-4124	330	2	25	25	NUM
ejpam-4124	330	3	]	]	PUNCT
ejpam-4124	330	4	heilat	heilat	NOUN
ejpam-4124	330	5	,	,	PUNCT
ejpam-4124	330	6	a.	a.	PROPN
ejpam-4124	330	7	s.	s.	PROPN
ejpam-4124	330	8	,	,	PUNCT
ejpam-4124	330	9	and	and	CCONJ
ejpam-4124	330	10	ismail	ismail	NOUN
ejpam-4124	330	11	,	,	PUNCT
ejpam-4124	330	12	a.	a.	NOUN
ejpam-4124	330	13	m.	m.	NOUN
ejpam-4124	330	14	(	(	PUNCT
ejpam-4124	330	15	2016	2016	NUM
ejpam-4124	330	16	)	)	PUNCT
ejpam-4124	330	17	.	.	PUNCT
ejpam-4124	331	1	hybrid	hybrid	ADJ
ejpam-4124	331	2	cubic	cubic	ADJ
ejpam-4124	331	3	b	b	NOUN
ejpam-4124	331	4	-	-	NOUN
ejpam-4124	331	5	spline	spline	NOUN
ejpam-4124	331	6	for	for	ADP
ejpam-4124	331	7	solving	solve	VERB
ejpam-4124	331	8	non	non	ADJ
ejpam-4124	331	9	-	-	ADJ
ejpam-4124	331	10	linear	linear	ADJ
ejpam-4124	331	11	two	two	NUM
ejpam-4124	331	12	-	-	PUNCT
ejpam-4124	331	13	point	point	NOUN
ejpam-4124	331	14	boundary	boundary	ADJ
ejpam-4124	331	15	value	value	NOUN
ejpam-4124	331	16	problems	problem	NOUN
ejpam-4124	331	17	.	.	PUNCT
ejpam-4124	332	1	international	international	ADJ
ejpam-4124	332	2	journal	journal	NOUN
ejpam-4124	332	3	of	of	ADP
ejpam-4124	332	4	pure	pure	ADJ
ejpam-4124	332	5	and	and	CCONJ
ejpam-4124	332	6	applied	applied	ADJ
ejpam-4124	332	7	mathematics	mathematic	NOUN
ejpam-4124	332	8	,	,	PUNCT
ejpam-4124	332	9	110(2	110(2	NUM
ejpam-4124	332	10	)	)	PUNCT
ejpam-4124	332	11	,	,	PUNCT
ejpam-4124	332	12	369	369	NUM
ejpam-4124	332	13	-	-	SYM
ejpam-4124	332	14	381	381	NUM
ejpam-4124	332	15	.	.	PUNCT
ejpam-4124	333	1	[	[	X
ejpam-4124	333	2	26	26	NUM
ejpam-4124	333	3	]	]	X
ejpam-4124	333	4	hatamleh	hatamleh	PROPN
ejpam-4124	333	5	,	,	PUNCT
ejpam-4124	333	6	r.	r.	PROPN
ejpam-4124	333	7	,	,	PUNCT
ejpam-4124	333	8	and	and	CCONJ
ejpam-4124	333	9	zolotarev	zolotarev	NUM
ejpam-4124	333	10	,	,	PUNCT
ejpam-4124	333	11	v.	v.	ADP
ejpam-4124	333	12	a.	a.	NOUN
ejpam-4124	333	13	(	(	PUNCT
ejpam-4124	333	14	2015	2015	NUM
ejpam-4124	333	15	)	)	PUNCT
ejpam-4124	333	16	.	.	PUNCT
ejpam-4124	334	1	on	on	ADP
ejpam-4124	334	2	model	model	NOUN
ejpam-4124	334	3	representations	representation	NOUN
ejpam-4124	334	4	of	of	ADP
ejpam-4124	334	5	nonselfadjoint	nonselfadjoint	NOUN
ejpam-4124	334	6	operators	operator	NOUN
ejpam-4124	334	7	with	with	ADP
ejpam-4124	334	8	infinitely	infinitely	ADV
ejpam-4124	334	9	dimensional	dimensional	ADJ
ejpam-4124	334	10	imaginary	imaginary	ADJ
ejpam-4124	334	11	component	component	NOUN
ejpam-4124	334	12	.	.	PUNCT
ejpam-4124	335	1	journal	journal	PROPN
ejpam-4124	335	2	of	of	ADP
ejpam-4124	335	3	mathematical	mathematical	ADJ
ejpam-4124	335	4	physics	physics	NOUN
ejpam-4124	335	5	,	,	PUNCT
ejpam-4124	335	6	analysis	analysis	NOUN
ejpam-4124	335	7	,	,	PUNCT
ejpam-4124	335	8	geometry	geometry	NOUN
ejpam-4124	335	9	11(2	11(2	NOUN
ejpam-4124	335	10	)	)	PUNCT
ejpam-4124	335	11	,	,	PUNCT
ejpam-4124	335	12	174	174	NUM
ejpam-4124	335	13	-	-	SYM
ejpam-4124	335	14	186	186	NUM
ejpam-4124	335	15	.	.	PUNCT