id	sid	tid	token	lemma	pos
ejpam-5071	1	1	european	european	PROPN
ejpam-5071	1	2	journal	journal	PROPN
ejpam-5071	1	3	of	of	ADP
ejpam-5071	1	4	pure	pure	ADJ
ejpam-5071	1	5	and	and	CCONJ
ejpam-5071	1	6	applied	apply	VERB
ejpam-5071	1	7	mathematics	mathematic	NOUN
ejpam-5071	1	8	vol	vol	NOUN
ejpam-5071	1	9	.	.	PROPN
ejpam-5071	2	1	17	17	NUM
ejpam-5071	2	2	,	,	PUNCT
ejpam-5071	2	3	no	no	INTJ
ejpam-5071	2	4	.	.	NOUN
ejpam-5071	2	5	2	2	NUM
ejpam-5071	2	6	,	,	PUNCT
ejpam-5071	2	7	2024	2024	NUM
ejpam-5071	2	8	,	,	PUNCT
ejpam-5071	2	9	1046	1046	NUM
ejpam-5071	2	10	-	-	SYM
ejpam-5071	2	11	1069	1069	NUM
ejpam-5071	2	12	issn	issn	PROPN
ejpam-5071	2	13	1307	1307	NUM
ejpam-5071	2	14	-	-	SYM
ejpam-5071	2	15	5543	5543	NUM
ejpam-5071	2	16	–	–	PUNCT
ejpam-5071	3	1	ejpam.com	ejpam.com	X
ejpam-5071	3	2	published	publish	VERB
ejpam-5071	3	3	by	by	ADP
ejpam-5071	3	4	new	new	PROPN
ejpam-5071	3	5	york	york	PROPN
ejpam-5071	3	6	business	business	PROPN
ejpam-5071	3	7	global	global	PROPN
ejpam-5071	3	8	a	a	DET
ejpam-5071	3	9	force	force	NOUN
ejpam-5071	3	10	function	function	NOUN
ejpam-5071	3	11	formula	formula	NOUN
ejpam-5071	3	12	for	for	ADP
ejpam-5071	3	13	solutions	solution	NOUN
ejpam-5071	3	14	of	of	ADP
ejpam-5071	3	15	nonlinear	nonlinear	ADJ
ejpam-5071	3	16	weakly	weakly	ADJ
ejpam-5071	3	17	singular	singular	PROPN
ejpam-5071	3	18	volterra	volterra	PROPN
ejpam-5071	3	19	integral	integral	ADJ
ejpam-5071	3	20	equations	equation	NOUN
ejpam-5071	3	21	(	(	PUNCT
ejpam-5071	3	22	wsvie	wsvie	NOUN
ejpam-5071	3	23	)	)	PUNCT
ejpam-5071	3	24	kwasi	kwasi	PROPN
ejpam-5071	3	25	frempong	frempong	PROPN
ejpam-5071	3	26	sarfo1,2,∗	sarfo1,2,∗	PROPN
ejpam-5071	3	27	,	,	PUNCT
ejpam-5071	3	28	william	william	PROPN
ejpam-5071	3	29	obeng	obeng	PROPN
ejpam-5071	3	30	denteh1	denteh1	PROPN
ejpam-5071	3	31	,	,	PUNCT
ejpam-5071	3	32	ishmael	ishmael	PROPN
ejpam-5071	3	33	takyi1	takyi1	PROPN
ejpam-5071	3	34	,	,	PUNCT
ejpam-5071	3	35	kwaku	kwaku	PROPN
ejpam-5071	3	36	forkuoh	forkuoh	PROPN
ejpam-5071	3	37	darkwah1	darkwah1	PROPN
ejpam-5071	3	38	1	1	NUM
ejpam-5071	3	39	department	department	NOUN
ejpam-5071	3	40	of	of	ADP
ejpam-5071	3	41	mathematics	mathematics	PROPN
ejpam-5071	3	42	,	,	PUNCT
ejpam-5071	3	43	kwame	kwame	PROPN
ejpam-5071	3	44	nkrumah	nkrumah	PROPN
ejpam-5071	3	45	university	university	PROPN
ejpam-5071	3	46	of	of	ADP
ejpam-5071	3	47	science	science	NOUN
ejpam-5071	3	48	and	and	CCONJ
ejpam-5071	3	49	technology	technology	NOUN
ejpam-5071	3	50	,	,	PUNCT
ejpam-5071	3	51	kumasi	kumasi	NOUN
ejpam-5071	3	52	,	,	PUNCT
ejpam-5071	3	53	ashanti	ashanti	NOUN
ejpam-5071	3	54	region	region	NOUN
ejpam-5071	3	55	,	,	PUNCT
ejpam-5071	3	56	ghana	ghana	PROPN
ejpam-5071	3	57	2	2	NUM
ejpam-5071	3	58	department	department	NOUN
ejpam-5071	3	59	of	of	ADP
ejpam-5071	3	60	mathematical	mathematical	ADJ
ejpam-5071	3	61	sciences	science	NOUN
ejpam-5071	3	62	,	,	PUNCT
ejpam-5071	3	63	kumasi	kumasi	PROPN
ejpam-5071	3	64	technical	technical	PROPN
ejpam-5071	3	65	university	university	PROPN
ejpam-5071	3	66	,	,	PUNCT
ejpam-5071	3	67	kumasi	kumasi	NOUN
ejpam-5071	3	68	,	,	PUNCT
ejpam-5071	3	69	ashanti	ashanti	NOUN
ejpam-5071	3	70	region	region	NOUN
ejpam-5071	3	71	,	,	PUNCT
ejpam-5071	3	72	ghana	ghana	PROPN
ejpam-5071	3	73	abstract	abstract	NOUN
ejpam-5071	3	74	.	.	PUNCT
ejpam-5071	4	1	in	in	ADP
ejpam-5071	4	2	this	this	DET
ejpam-5071	4	3	paper	paper	NOUN
ejpam-5071	4	4	,	,	PUNCT
ejpam-5071	4	5	we	we	PRON
ejpam-5071	4	6	examine	examine	VERB
ejpam-5071	4	7	the	the	DET
ejpam-5071	4	8	nonlinear	nonlinear	ADJ
ejpam-5071	4	9	weakly	weakly	ADJ
ejpam-5071	4	10	singular	singular	PROPN
ejpam-5071	4	11	volterra	volterra	PROPN
ejpam-5071	4	12	integral	integral	ADJ
ejpam-5071	4	13	equation	equation	NOUN
ejpam-5071	4	14	(	(	PUNCT
ejpam-5071	4	15	wsvie	wsvie	NOUN
ejpam-5071	4	16	)	)	PUNCT
ejpam-5071	4	17	,	,	PUNCT
ejpam-5071	4	18	u(x	u(x	PROPN
ejpam-5071	4	19	)	)	PUNCT
ejpam-5071	4	20	=	=	PUNCT
ejpam-5071	4	21	f(x)+	f(x)+	VERB
ejpam-5071	4	22	∫	∫	PROPN
ejpam-5071	4	23	x	x	SYM
ejpam-5071	4	24	0	0	PROPN
ejpam-5071	4	25	tµ−1	tµ−1	VERB
ejpam-5071	4	26	xµ	xµ	PROPN
ejpam-5071	5	1	[	[	X
ejpam-5071	5	2	u(t)]βdt	u(t)]βdt	X
ejpam-5071	5	3	.	.	PUNCT
ejpam-5071	6	1	al	al	PROPN
ejpam-5071	6	2	-	-	PUNCT
ejpam-5071	6	3	jawary	jawary	PROPN
ejpam-5071	6	4	and	and	CCONJ
ejpam-5071	6	5	shehan	shehan	PROPN
ejpam-5071	6	6	used	use	VERB
ejpam-5071	6	7	the	the	DET
ejpam-5071	6	8	daftardar	daftardar	ADV
ejpam-5071	6	9	-	-	PUNCT
ejpam-5071	6	10	jafari	jafari	ADJ
ejpam-5071	6	11	method	method	NOUN
ejpam-5071	6	12	(	(	PUNCT
ejpam-5071	6	13	djm	djm	PROPN
ejpam-5071	6	14	)	)	PUNCT
ejpam-5071	6	15	and	and	CCONJ
ejpam-5071	6	16	solved	solve	VERB
ejpam-5071	6	17	the	the	DET
ejpam-5071	6	18	above	above	ADJ
ejpam-5071	6	19	integral	integral	ADJ
ejpam-5071	6	20	equation	equation	NOUN
ejpam-5071	6	21	for	for	ADP
ejpam-5071	6	22	the	the	DET
ejpam-5071	6	23	investigation	investigation	NOUN
ejpam-5071	6	24	parameter	parameter	NOUN
ejpam-5071	6	25	µ	µ	X
ejpam-5071	6	26	>	>	X
ejpam-5071	6	27	1	1	NUM
ejpam-5071	6	28	using	use	VERB
ejpam-5071	6	29	specific	specific	ADJ
ejpam-5071	6	30	force	force	NOUN
ejpam-5071	6	31	functions	function	NOUN
ejpam-5071	6	32	with	with	ADP
ejpam-5071	6	33	µ	µ	NOUN
ejpam-5071	6	34	and	and	CCONJ
ejpam-5071	6	35	β	β	NOUN
ejpam-5071	6	36	values	value	NOUN
ejpam-5071	6	37	and	and	CCONJ
ejpam-5071	6	38	obtained	obtain	VERB
ejpam-5071	6	39	unique	unique	ADJ
ejpam-5071	6	40	solutions	solution	NOUN
ejpam-5071	6	41	.	.	PUNCT
ejpam-5071	7	1	we	we	PRON
ejpam-5071	7	2	have	have	AUX
ejpam-5071	7	3	discovered	discover	VERB
ejpam-5071	7	4	a	a	DET
ejpam-5071	7	5	force	force	NOUN
ejpam-5071	7	6	function	function	NOUN
ejpam-5071	7	7	f(x	f(x	PROPN
ejpam-5071	7	8	)	)	PUNCT
ejpam-5071	7	9	=	=	PUNCT
ejpam-5071	8	1	xk1	xk1	PROPN
ejpam-5071	8	2	−	−	PROPN
ejpam-5071	8	3	xγk1	xγk1	PROPN
ejpam-5071	8	4	γk1+µ	γk1+µ	NOUN
ejpam-5071	8	5	that	that	PRON
ejpam-5071	8	6	allows	allow	VERB
ejpam-5071	8	7	the	the	DET
ejpam-5071	8	8	introduction	introduction	NOUN
ejpam-5071	8	9	of	of	ADP
ejpam-5071	8	10	noise	noise	NOUN
ejpam-5071	8	11	terms	term	NOUN
ejpam-5071	8	12	phenomena	phenomenon	NOUN
ejpam-5071	8	13	discovered	discover	VERB
ejpam-5071	8	14	by	by	ADP
ejpam-5071	8	15	wazwaz	wazwaz	NOUN
ejpam-5071	8	16	that	that	PRON
ejpam-5071	8	17	cancel	cancel	VERB
ejpam-5071	8	18	out	out	ADP
ejpam-5071	8	19	the	the	DET
ejpam-5071	8	20	terms	term	NOUN
ejpam-5071	8	21	of	of	ADP
ejpam-5071	8	22	the	the	DET
ejpam-5071	8	23	power	power	NOUN
ejpam-5071	8	24	series	series	NOUN
ejpam-5071	8	25	in	in	ADP
ejpam-5071	8	26	the	the	DET
ejpam-5071	8	27	successive	successive	ADJ
ejpam-5071	8	28	solution	solution	NOUN
ejpam-5071	8	29	terms	term	NOUN
ejpam-5071	8	30	um	um	INTJ
ejpam-5071	8	31	,	,	PUNCT
ejpam-5071	8	32	m	m	VERB
ejpam-5071	8	33	=	=	NOUN
ejpam-5071	8	34	0	0	NUM
ejpam-5071	8	35	,	,	PUNCT
ejpam-5071	8	36	1	1	NUM
ejpam-5071	8	37	,	,	PUNCT
ejpam-5071	8	38	2	2	NUM
ejpam-5071	8	39	,	,	PUNCT
ejpam-5071	8	40	...	...	PUNCT
ejpam-5071	8	41	,	,	PUNCT
ejpam-5071	8	42	n	n	CCONJ
ejpam-5071	8	43	:	:	PUNCT
ejpam-5071	8	44	we	we	PRON
ejpam-5071	8	45	thus	thus	ADV
ejpam-5071	8	46	obtain	obtain	VERB
ejpam-5071	8	47	a	a	DET
ejpam-5071	8	48	maximum	maximum	ADJ
ejpam-5071	8	49	finite	finite	ADJ
ejpam-5071	8	50	power	power	NOUN
ejpam-5071	8	51	series	series	PROPN
ejpam-5071	8	52	terms	term	NOUN
ejpam-5071	8	53	for	for	ADP
ejpam-5071	8	54	each	each	DET
ejpam-5071	8	55	solution	solution	NOUN
ejpam-5071	8	56	term	term	NOUN
ejpam-5071	8	57	called	call	VERB
ejpam-5071	8	58	truncation	truncation	NOUN
ejpam-5071	8	59	point	point	NOUN
ejpam-5071	8	60	and	and	CCONJ
ejpam-5071	8	61	denoted	denote	VERB
ejpam-5071	8	62	by	by	ADP
ejpam-5071	8	63	xg(n	xg(n	NOUN
ejpam-5071	8	64	)	)	PUNCT
ejpam-5071	8	65	.	.	PUNCT
ejpam-5071	9	1	such	such	ADJ
ejpam-5071	9	2	that	that	SCONJ
ejpam-5071	9	3	the	the	DET
ejpam-5071	9	4	integral	integral	ADJ
ejpam-5071	9	5	solution	solution	NOUN
ejpam-5071	9	6	can	can	AUX
ejpam-5071	9	7	be	be	AUX
ejpam-5071	9	8	written	write	VERB
ejpam-5071	9	9	as	as	ADP
ejpam-5071	9	10	u(x	u(x	NOUN
ejpam-5071	9	11	)	)	PUNCT
ejpam-5071	9	12	=	=	SYM
ejpam-5071	10	1	u0	u0	PROPN
ejpam-5071	10	2	+	+	NUM
ejpam-5071	10	3	∑n	∑n	PROPN
ejpam-5071	10	4	m=1	m=1	X
ejpam-5071	10	5	um	um	INTJ
ejpam-5071	10	6	,	,	PUNCT
ejpam-5071	10	7	where	where	SCONJ
ejpam-5071	10	8	n	n	PRON
ejpam-5071	10	9	is	be	AUX
ejpam-5071	10	10	finite	finite	ADJ
ejpam-5071	10	11	.	.	PUNCT
ejpam-5071	11	1	simplifying	simplify	VERB
ejpam-5071	11	2	the	the	DET
ejpam-5071	11	3	solution	solution	NOUN
ejpam-5071	11	4	terms	term	NOUN
ejpam-5071	11	5	,	,	PUNCT
ejpam-5071	11	6	we	we	PRON
ejpam-5071	11	7	get	get	VERB
ejpam-5071	11	8	the	the	DET
ejpam-5071	11	9	unique	unique	ADJ
ejpam-5071	11	10	solution	solution	NOUN
ejpam-5071	11	11	u(x	u(x	NOUN
ejpam-5071	11	12	)	)	PUNCT
ejpam-5071	11	13	=	=	SYM
ejpam-5071	11	14	xk1	xk1	PROPN
ejpam-5071	11	15	,	,	PUNCT
ejpam-5071	11	16	irrespective	irrespective	ADV
ejpam-5071	11	17	of	of	ADP
ejpam-5071	11	18	the	the	DET
ejpam-5071	11	19	n−value	n−value	NOUN
ejpam-5071	11	20	in	in	ADP
ejpam-5071	11	21	the	the	DET
ejpam-5071	11	22	truncation	truncation	NOUN
ejpam-5071	11	23	point	point	NOUN
ejpam-5071	11	24	.	.	PUNCT
ejpam-5071	12	1	we	we	PRON
ejpam-5071	12	2	have	have	AUX
ejpam-5071	12	3	discovered	discover	VERB
ejpam-5071	12	4	a	a	DET
ejpam-5071	12	5	formula	formula	NOUN
ejpam-5071	12	6	relation	relation	NOUN
ejpam-5071	12	7	between	between	ADP
ejpam-5071	12	8	the	the	DET
ejpam-5071	12	9	last	last	ADJ
ejpam-5071	12	10	solution	solution	NOUN
ejpam-5071	12	11	term	term	NOUN
ejpam-5071	12	12	un	un	PROPN
ejpam-5071	12	13	and	and	CCONJ
ejpam-5071	12	14	the	the	DET
ejpam-5071	12	15	truncation	truncation	NOUN
ejpam-5071	12	16	point	point	NOUN
ejpam-5071	12	17	as	as	ADP
ejpam-5071	12	18	un	un	PROPN
ejpam-5071	12	19	=	=	PROPN
ejpam-5071	12	20	anx	anx	PROPN
ejpam-5071	12	21	g(n	g(n	PROPN
ejpam-5071	12	22	)	)	PUNCT
ejpam-5071	12	23	.	.	PUNCT
ejpam-5071	13	1	our	our	PRON
ejpam-5071	13	2	results	result	NOUN
ejpam-5071	13	3	confirm	confirm	VERB
ejpam-5071	13	4	the	the	DET
ejpam-5071	13	5	results	result	NOUN
ejpam-5071	13	6	of	of	ADP
ejpam-5071	13	7	the	the	DET
ejpam-5071	13	8	two	two	NUM
ejpam-5071	13	9	solution	solution	NOUN
ejpam-5071	13	10	examples	example	NOUN
ejpam-5071	13	11	of	of	ADP
ejpam-5071	13	12	al	al	PROPN
ejpam-5071	13	13	-	-	PUNCT
ejpam-5071	13	14	jawary	jawary	PROPN
ejpam-5071	13	15	and	and	CCONJ
ejpam-5071	13	16	shehan	shehan	PROPN
ejpam-5071	13	17	for	for	ADP
ejpam-5071	13	18	the	the	DET
ejpam-5071	13	19	investigation	investigation	NOUN
ejpam-5071	13	20	parameter	parameter	NOUN
ejpam-5071	13	21	µ	µ	X
ejpam-5071	13	22	>	>	X
ejpam-5071	13	23	1	1	X
ejpam-5071	13	24	.	.	PUNCT
ejpam-5071	14	1	we	we	PRON
ejpam-5071	14	2	extend	extend	VERB
ejpam-5071	14	3	the	the	DET
ejpam-5071	14	4	parameter	parameter	NOUN
ejpam-5071	14	5	range	range	NOUN
ejpam-5071	14	6	to	to	PART
ejpam-5071	14	7	include	include	VERB
ejpam-5071	14	8	µ	µ	PROPN
ejpam-5071	14	9	>	>	SYM
ejpam-5071	14	10	1	1	NUM
ejpam-5071	14	11	and	and	CCONJ
ejpam-5071	14	12	0	0	NUM
ejpam-5071	14	13	<	<	X
ejpam-5071	14	14	µ	µ	X
ejpam-5071	14	15	≤	≤	ADV
ejpam-5071	14	16	1	1	NUM
ejpam-5071	14	17	for	for	ADP
ejpam-5071	14	18	our	our	PRON
ejpam-5071	14	19	solution	solution	NOUN
ejpam-5071	14	20	.	.	PUNCT
ejpam-5071	15	1	in	in	ADP
ejpam-5071	15	2	addition	addition	NOUN
ejpam-5071	15	3	,	,	PUNCT
ejpam-5071	15	4	for	for	ADP
ejpam-5071	15	5	any	any	DET
ejpam-5071	15	6	chosen	choose	VERB
ejpam-5071	15	7	rational	rational	ADJ
ejpam-5071	15	8	parameter	parameter	NOUN
ejpam-5071	15	9	k1	k1	PROPN
ejpam-5071	15	10	,	,	PUNCT
ejpam-5071	15	11	the	the	DET
ejpam-5071	15	12	solution	solution	NOUN
ejpam-5071	15	13	u(x	u(x	VERB
ejpam-5071	15	14	)	)	PUNCT
ejpam-5071	15	15	=	=	PUNCT
ejpam-5071	16	1	xk1	xk1	PROPN
ejpam-5071	16	2	is	be	AUX
ejpam-5071	16	3	extrapolated	extrapolate	VERB
ejpam-5071	16	4	to	to	PART
ejpam-5071	16	5	be	be	AUX
ejpam-5071	16	6	valid	valid	ADJ
ejpam-5071	16	7	for	for	ADP
ejpam-5071	16	8	all	all	DET
ejpam-5071	16	9	integer	integer	NOUN
ejpam-5071	16	10	parameter	parameter	NOUN
ejpam-5071	16	11	values	value	NOUN
ejpam-5071	16	12	β	β	X
ejpam-5071	16	13	≥	≥	NUM
ejpam-5071	16	14	2	2	NUM
ejpam-5071	16	15	and	and	CCONJ
ejpam-5071	16	16	positive	positive	ADJ
ejpam-5071	16	17	rational	rational	ADJ
ejpam-5071	16	18	parameter	parameter	NOUN
ejpam-5071	16	19	values	value	NOUN
ejpam-5071	16	20	µ	µ	X
ejpam-5071	16	21	>	>	X
ejpam-5071	16	22	0	0	PUNCT
ejpam-5071	16	23	and	and	CCONJ
ejpam-5071	16	24	for	for	ADP
ejpam-5071	16	25	any	any	DET
ejpam-5071	16	26	finite	finite	ADJ
ejpam-5071	16	27	value	value	NOUN
ejpam-5071	16	28	of	of	ADP
ejpam-5071	16	29	n	n	PRON
ejpam-5071	16	30	≥	≥	NUM
ejpam-5071	16	31	2	2	NUM
ejpam-5071	16	32	.	.	NOUN
ejpam-5071	16	33	2020	2020	NUM
ejpam-5071	16	34	mathematics	mathematic	NOUN
ejpam-5071	16	35	subject	subject	ADJ
ejpam-5071	16	36	classification	classification	NOUN
ejpam-5071	16	37	:	:	PUNCT
ejpam-5071	16	38	45a05	45a05	NUM
ejpam-5071	16	39	,	,	PUNCT
ejpam-5071	16	40	45d05	45d05	NUM
ejpam-5071	16	41	,	,	PUNCT
ejpam-5071	16	42	45g05	45g05	NUM
ejpam-5071	16	43	key	key	ADJ
ejpam-5071	16	44	words	word	NOUN
ejpam-5071	16	45	and	and	CCONJ
ejpam-5071	16	46	phrases	phrase	NOUN
ejpam-5071	16	47	:	:	PUNCT
ejpam-5071	16	48	volterra	volterra	PROPN
ejpam-5071	16	49	integral	integral	ADJ
ejpam-5071	16	50	equation	equation	NOUN
ejpam-5071	16	51	,	,	PUNCT
ejpam-5071	16	52	force	force	NOUN
ejpam-5071	16	53	function	function	NOUN
ejpam-5071	16	54	,	,	PUNCT
ejpam-5071	16	55	weakly	weakly	ADJ
ejpam-5071	16	56	singular	singular	ADJ
ejpam-5071	16	57	kernel	kernel	NOUN
ejpam-5071	16	58	,	,	PUNCT
ejpam-5071	16	59	nonlinear	nonlinear	ADJ
ejpam-5071	16	60	operator	operator	NOUN
ejpam-5071	16	61	,	,	PUNCT
ejpam-5071	16	62	series	series	NOUN
ejpam-5071	16	63	solutions	solution	NOUN
ejpam-5071	16	64	,	,	PUNCT
ejpam-5071	16	65	truncation	truncation	NOUN
ejpam-5071	16	66	point	point	NOUN
ejpam-5071	16	67	formula	formula	NOUN
ejpam-5071	16	68	,	,	PUNCT
ejpam-5071	16	69	unique	unique	ADJ
ejpam-5071	16	70	solution	solution	NOUN
ejpam-5071	16	71	.	.	PUNCT
ejpam-5071	17	1	∗corresponding	∗corresponde	VERB
ejpam-5071	17	2	author	author	NOUN
ejpam-5071	17	3	.	.	PUNCT
ejpam-5071	18	1	doi	doi	NOUN
ejpam-5071	18	2	:	:	PUNCT
ejpam-5071	18	3	https://doi.org/10.29020/nybg.ejpam.v17i2.5071	https://doi.org/10.29020/nybg.ejpam.v17i2.5071	PROPN
ejpam-5071	18	4	email	email	NOUN
ejpam-5071	18	5	addresses	address	VERB
ejpam-5071	18	6	:	:	PUNCT
ejpam-5071	19	1	kwasifrempongsarfo@gmail.com	kwasifrempongsarfo@gmail.com	PROPN
ejpam-5071	19	2	(	(	PUNCT
ejpam-5071	19	3	k.f	k.f	PROPN
ejpam-5071	19	4	.	.	PROPN
ejpam-5071	19	5	sarfo	sarfo	PROPN
ejpam-5071	19	6	)	)	PUNCT
ejpam-5071	19	7	,	,	PUNCT
ejpam-5071	19	8	wobeng-denteh.cos@knust.edu.gh	wobeng-denteh.cos@knust.edu.gh	X
ejpam-5071	19	9	(	(	PUNCT
ejpam-5071	19	10	w.	w.	PROPN
ejpam-5071	19	11	obeng	obeng	PROPN
ejpam-5071	19	12	-	-	PUNCT
ejpam-5071	19	13	denteh	denteh	NOUN
ejpam-5071	19	14	)	)	PUNCT
ejpam-5071	19	15	,	,	PUNCT
ejpam-5071	19	16	ismael.takyi@knust.edu.gh	ismael.takyi@knust.edu.gh	PROPN
ejpam-5071	19	17	(	(	PUNCT
ejpam-5071	19	18	i.	i.	NOUN
ejpam-5071	19	19	takyi	takyi	PROPN
ejpam-5071	19	20	)	)	PUNCT
ejpam-5071	19	21	,	,	PUNCT
ejpam-5071	19	22	kfdarkwah.cos@knust.edu.gh	kfdarkwah.cos@knust.edu.gh	NOUN
ejpam-5071	19	23	(	(	PUNCT
ejpam-5071	19	24	k.f	k.f	PROPN
ejpam-5071	19	25	.	.	PROPN
ejpam-5071	19	26	darkwah	darkwah	PROPN
ejpam-5071	19	27	)	)	PUNCT
ejpam-5071	19	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5071	19	29	1046	1046	NUM
ejpam-5071	20	1	©	©	PROPN
ejpam-5071	20	2	2023	2023	NUM
ejpam-5071	20	3	ejpam	ejpam	NOUN
ejpam-5071	20	4	all	all	DET
ejpam-5071	20	5	rights	right	NOUN
ejpam-5071	20	6	reserved	reserve	VERB
ejpam-5071	20	7	.	.	PUNCT
ejpam-5071	21	1	k.	k.	PROPN
ejpam-5071	21	2	f.	f.	PROPN
ejpam-5071	21	3	sarfo	sarfo	PROPN
ejpam-5071	21	4	et	et	PROPN
ejpam-5071	21	5	al	al	PROPN
ejpam-5071	21	6	.	.	PUNCT
ejpam-5071	21	7	/	/	SYM
ejpam-5071	21	8	eur	eur	PROPN
ejpam-5071	21	9	.	.	PUNCT
ejpam-5071	22	1	j.	j.	PROPN
ejpam-5071	22	2	pure	pure	PROPN
ejpam-5071	22	3	appl	appl	PROPN
ejpam-5071	22	4	.	.	PROPN
ejpam-5071	22	5	math	math	PROPN
ejpam-5071	22	6	,	,	PUNCT
ejpam-5071	22	7	17	17	NUM
ejpam-5071	22	8	(	(	PUNCT
ejpam-5071	22	9	2	2	NUM
ejpam-5071	22	10	)	)	PUNCT
ejpam-5071	22	11	(	(	PUNCT
ejpam-5071	22	12	2024	2024	NUM
ejpam-5071	22	13	)	)	PUNCT
ejpam-5071	22	14	,	,	PUNCT
ejpam-5071	22	15	1046	1046	NUM
ejpam-5071	22	16	-	-	SYM
ejpam-5071	22	17	1069	1069	NUM
ejpam-5071	22	18	1047	1047	NUM
ejpam-5071	22	19	1	1	NUM
ejpam-5071	22	20	.	.	PUNCT
ejpam-5071	23	1	introduction	introduction	NOUN
ejpam-5071	23	2	mathematical	mathematical	ADJ
ejpam-5071	23	3	problems	problem	NOUN
ejpam-5071	23	4	can	can	AUX
ejpam-5071	23	5	be	be	AUX
ejpam-5071	23	6	formulated	formulate	VERB
ejpam-5071	23	7	using	use	VERB
ejpam-5071	23	8	integral	integral	ADJ
ejpam-5071	23	9	equations	equation	NOUN
ejpam-5071	23	10	.	.	PUNCT
ejpam-5071	24	1	mathematical	mathematical	ADJ
ejpam-5071	24	2	formulations	formulation	NOUN
ejpam-5071	24	3	of	of	ADP
ejpam-5071	24	4	physical	physical	ADJ
ejpam-5071	24	5	problems	problem	NOUN
ejpam-5071	24	6	as	as	SCONJ
ejpam-5071	24	7	differential	differential	ADJ
ejpam-5071	24	8	equations	equation	NOUN
ejpam-5071	24	9	are	be	AUX
ejpam-5071	24	10	converted	convert	VERB
ejpam-5071	24	11	to	to	ADP
ejpam-5071	24	12	integral	integral	ADJ
ejpam-5071	24	13	equations[12	equations[12	NOUN
ejpam-5071	24	14	]	]	PUNCT
ejpam-5071	24	15	or	or	CCONJ
ejpam-5071	24	16	physical	physical	ADJ
ejpam-5071	24	17	problems	problem	NOUN
ejpam-5071	24	18	are	be	AUX
ejpam-5071	24	19	formulated	formulate	VERB
ejpam-5071	24	20	as	as	ADP
ejpam-5071	24	21	integral	integral	ADJ
ejpam-5071	24	22	transforms	transform	NOUN
ejpam-5071	24	23	using	use	VERB
ejpam-5071	24	24	appropriate	appropriate	ADJ
ejpam-5071	24	25	kernels[29	kernels[29	NOUN
ejpam-5071	24	26	]	]	X
ejpam-5071	24	27	.	.	PUNCT
ejpam-5071	25	1	some	some	PRON
ejpam-5071	25	2	of	of	ADP
ejpam-5071	25	3	the	the	DET
ejpam-5071	25	4	kernels	kernel	NOUN
ejpam-5071	25	5	of	of	ADP
ejpam-5071	25	6	integral	integral	ADJ
ejpam-5071	25	7	equations	equation	NOUN
ejpam-5071	25	8	found	find	VERB
ejpam-5071	25	9	in	in	ADP
ejpam-5071	25	10	the	the	DET
ejpam-5071	25	11	literature	literature	NOUN
ejpam-5071	25	12	are	be	AUX
ejpam-5071	25	13	the	the	DET
ejpam-5071	25	14	logarithmic	logarithmic	ADJ
ejpam-5071	25	15	kernel	kernel	NOUN
ejpam-5071	25	16	,	,	PUNCT
ejpam-5071	25	17	k(x	k(x	PROPN
ejpam-5071	25	18	,	,	PUNCT
ejpam-5071	25	19	t	t	PROPN
ejpam-5071	25	20	)	)	PUNCT
ejpam-5071	25	21	=	=	SYM
ejpam-5071	25	22	1√	1√	NUM
ejpam-5071	25	23	π	π	PROPN
ejpam-5071	25	24	1√	1√	PROPN
ejpam-5071	25	25	ln	ln	PROPN
ejpam-5071	25	26	(	(	PUNCT
ejpam-5071	25	27	t	t	PROPN
ejpam-5071	25	28	s	s	PART
ejpam-5071	25	29	)	)	PUNCT
ejpam-5071	25	30	(	(	PUNCT
ejpam-5071	25	31	st	st	PROPN
ejpam-5071	25	32	)	)	PUNCT
ejpam-5071	25	33	µ	µ	PROPN
ejpam-5071	25	34	1	1	NUM
ejpam-5071	25	35	s	s	NOUN
ejpam-5071	25	36	,	,	PUNCT
ejpam-5071	25	37	abel	abel	PROPN
ejpam-5071	25	38	’s	’s	PART
ejpam-5071	25	39	kernel	kernel	PROPN
ejpam-5071	25	40	,	,	PUNCT
ejpam-5071	25	41	k(x	k(x	PROPN
ejpam-5071	25	42	,	,	PUNCT
ejpam-5071	25	43	t	t	PROPN
ejpam-5071	25	44	)	)	PUNCT
ejpam-5071	25	45	=	=	SYM
ejpam-5071	25	46	1	1	NUM
ejpam-5071	25	47	(	(	PUNCT
ejpam-5071	25	48	x−t	x−t	PROPN
ejpam-5071	25	49	)	)	PUNCT
ejpam-5071	25	50	1	1	NUM
ejpam-5071	25	51	2	2	NUM
ejpam-5071	25	52	,	,	PUNCT
ejpam-5071	25	53	difference	difference	NOUN
ejpam-5071	25	54	kernel	kernel	NOUN
ejpam-5071	25	55	,	,	PUNCT
ejpam-5071	25	56	k(x	k(x	PROPN
ejpam-5071	25	57	,	,	PUNCT
ejpam-5071	25	58	t	t	PROPN
ejpam-5071	25	59	)	)	PUNCT
ejpam-5071	25	60	=	=	SYM
ejpam-5071	26	1	(	(	PUNCT
ejpam-5071	26	2	x	x	PROPN
ejpam-5071	26	3	−	−	PROPN
ejpam-5071	26	4	t	t	PROPN
ejpam-5071	26	5	)	)	PUNCT
ejpam-5071	26	6	,	,	PUNCT
ejpam-5071	26	7	and	and	CCONJ
ejpam-5071	26	8	the	the	DET
ejpam-5071	26	9	reproducing	reproduce	VERB
ejpam-5071	26	10	kernel	kernel	NOUN
ejpam-5071	26	11	,	,	PUNCT
ejpam-5071	26	12	k(x	k(x	PROPN
ejpam-5071	26	13	,	,	PUNCT
ejpam-5071	26	14	t	t	PROPN
ejpam-5071	26	15	)	)	PUNCT
ejpam-5071	26	16	=	=	VERB
ejpam-5071	27	1	tµ−1	tµ−1	VERB
ejpam-5071	27	2	xµ	xµ	X
ejpam-5071	27	3	.	.	PUNCT
ejpam-5071	28	1	while	while	SCONJ
ejpam-5071	28	2	a	a	DET
ejpam-5071	28	3	singular	singular	ADJ
ejpam-5071	28	4	integral	integral	ADJ
ejpam-5071	28	5	equation	equation	NOUN
ejpam-5071	28	6	has	have	AUX
ejpam-5071	28	7	infinite	infinite	ADJ
ejpam-5071	28	8	limits	limit	NOUN
ejpam-5071	28	9	as	as	ADV
ejpam-5071	28	10	well	well	ADV
ejpam-5071	28	11	as	as	ADP
ejpam-5071	28	12	the	the	DET
ejpam-5071	28	13	kernel	kernel	NOUN
ejpam-5071	28	14	being	be	AUX
ejpam-5071	28	15	undefined	undefined	ADJ
ejpam-5071	28	16	at	at	ADP
ejpam-5071	28	17	one	one	NUM
ejpam-5071	28	18	or	or	CCONJ
ejpam-5071	28	19	two	two	NUM
ejpam-5071	28	20	points	point	NOUN
ejpam-5071	28	21	in	in	ADP
ejpam-5071	28	22	the	the	DET
ejpam-5071	28	23	range	range	NOUN
ejpam-5071	28	24	of	of	ADP
ejpam-5071	28	25	integration	integration	NOUN
ejpam-5071	28	26	,	,	PUNCT
ejpam-5071	28	27	a	a	DET
ejpam-5071	28	28	weaker	weak	ADJ
ejpam-5071	28	29	singularity	singularity	NOUN
ejpam-5071	28	30	occurs	occur	VERB
ejpam-5071	28	31	when	when	SCONJ
ejpam-5071	28	32	only	only	ADV
ejpam-5071	28	33	the	the	DET
ejpam-5071	28	34	kernel	kernel	NOUN
ejpam-5071	28	35	is	be	AUX
ejpam-5071	28	36	undefined	undefined	ADJ
ejpam-5071	28	37	at	at	ADP
ejpam-5071	28	38	some	some	DET
ejpam-5071	28	39	points[17	points[17	VERB
ejpam-5071	28	40	]	]	PUNCT
ejpam-5071	28	41	.	.	PUNCT
ejpam-5071	29	1	the	the	DET
ejpam-5071	29	2	weakly	weakly	ADJ
ejpam-5071	29	3	singular	singular	PROPN
ejpam-5071	29	4	volterra	volterra	PROPN
ejpam-5071	29	5	integral	integral	ADJ
ejpam-5071	29	6	equation	equation	NOUN
ejpam-5071	29	7	,	,	PUNCT
ejpam-5071	29	8	u(x	u(x	PROPN
ejpam-5071	29	9	)	)	PUNCT
ejpam-5071	29	10	=	=	SYM
ejpam-5071	29	11	f(x	f(x	PROPN
ejpam-5071	29	12	)	)	PUNCT
ejpam-5071	30	1	+	+	CCONJ
ejpam-5071	30	2	∫	∫	PROPN
ejpam-5071	30	3	x	x	SYM
ejpam-5071	30	4	0	0	NUM
ejpam-5071	30	5	k(x	k(x	PROPN
ejpam-5071	30	6	,	,	PUNCT
ejpam-5071	30	7	t)[u(t)]βdt	t)[u(t)]βdt	PROPN
ejpam-5071	30	8	(	(	PUNCT
ejpam-5071	30	9	1	1	NUM
ejpam-5071	30	10	)	)	PUNCT
ejpam-5071	30	11	is	be	AUX
ejpam-5071	30	12	linear	linear	ADJ
ejpam-5071	30	13	if	if	SCONJ
ejpam-5071	30	14	β	β	X
ejpam-5071	30	15	=	=	SYM
ejpam-5071	30	16	1	1	NUM
ejpam-5071	30	17	and	and	CCONJ
ejpam-5071	30	18	nonlinear	nonlinear	NOUN
ejpam-5071	30	19	otherwise	otherwise	ADV
ejpam-5071	30	20	,	,	PUNCT
ejpam-5071	30	21	has	have	VERB
ejpam-5071	30	22	various	various	ADJ
ejpam-5071	30	23	applications	application	NOUN
ejpam-5071	30	24	of	of	ADP
ejpam-5071	30	25	scientific	scientific	ADJ
ejpam-5071	30	26	problems	problem	NOUN
ejpam-5071	30	27	including	including	ADP
ejpam-5071	30	28	stereology[23	stereology[23	NOUN
ejpam-5071	30	29	]	]	PUNCT
ejpam-5071	30	30	,	,	PUNCT
ejpam-5071	30	31	heat	heat	NOUN
ejpam-5071	30	32	conduction	conduction	NOUN
ejpam-5071	30	33	with	with	ADP
ejpam-5071	30	34	mixed	mixed	ADJ
ejpam-5071	30	35	boundary	boundary	ADJ
ejpam-5071	30	36	conditions[13	conditions[13	NOUN
ejpam-5071	30	37	]	]	X
ejpam-5071	30	38	,	,	PUNCT
ejpam-5071	30	39	crystal	crystal	NOUN
ejpam-5071	30	40	formation	formation	NOUN
ejpam-5071	30	41	,	,	PUNCT
ejpam-5071	30	42	electrochemistry	electrochemistry	NOUN
ejpam-5071	30	43	,	,	PUNCT
ejpam-5071	30	44	superfluidity	superfluidity	NOUN
ejpam-5071	30	45	,	,	PUNCT
ejpam-5071	30	46	and	and	CCONJ
ejpam-5071	30	47	the	the	DET
ejpam-5071	30	48	radiation	radiation	NOUN
ejpam-5071	30	49	of	of	ADP
ejpam-5071	30	50	heat	heat	NOUN
ejpam-5071	30	51	from	from	ADP
ejpam-5071	30	52	a	a	DET
ejpam-5071	30	53	semi	semi	ADJ
ejpam-5071	30	54	-	-	ADJ
ejpam-5071	30	55	infinite	infinite	ADJ
ejpam-5071	30	56	solid	solid	ADJ
ejpam-5071	30	57	state	state	NOUN
ejpam-5071	31	1	[	[	X
ejpam-5071	31	2	11	11	NUM
ejpam-5071	31	3	]	]	PUNCT
ejpam-5071	31	4	.	.	PUNCT
ejpam-5071	32	1	various	various	ADJ
ejpam-5071	32	2	numerical	numerical	ADJ
ejpam-5071	32	3	and	and	CCONJ
ejpam-5071	32	4	analytic	analytic	ADJ
ejpam-5071	32	5	methods	method	NOUN
ejpam-5071	32	6	have	have	AUX
ejpam-5071	32	7	been	be	AUX
ejpam-5071	32	8	used	use	VERB
ejpam-5071	32	9	to	to	PART
ejpam-5071	32	10	solve	solve	VERB
ejpam-5071	32	11	both	both	CCONJ
ejpam-5071	32	12	linear	linear	ADJ
ejpam-5071	32	13	and	and	CCONJ
ejpam-5071	32	14	nonlinear	nonlinear	ADJ
ejpam-5071	32	15	volterra	volterra	PROPN
ejpam-5071	32	16	integral	integral	ADJ
ejpam-5071	32	17	equations	equation	NOUN
ejpam-5071	32	18	.	.	PUNCT
ejpam-5071	33	1	these	these	PRON
ejpam-5071	33	2	include	include	VERB
ejpam-5071	33	3	the	the	DET
ejpam-5071	33	4	interpolation	interpolation	NOUN
ejpam-5071	33	5	approach[8	approach[8	ADP
ejpam-5071	33	6	,	,	PUNCT
ejpam-5071	33	7	9	9	NUM
ejpam-5071	33	8	]	]	PUNCT
ejpam-5071	33	9	,	,	PUNCT
ejpam-5071	33	10	the	the	DET
ejpam-5071	33	11	optimal	optimal	ADJ
ejpam-5071	33	12	homotopy	homotopy	NOUN
ejpam-5071	33	13	asymptotic	asymptotic	ADJ
ejpam-5071	33	14	method[19	method[19	NOUN
ejpam-5071	33	15	]	]	PUNCT
ejpam-5071	33	16	,	,	PUNCT
ejpam-5071	33	17	the	the	DET
ejpam-5071	33	18	riemann	riemann	PROPN
ejpam-5071	33	19	-	-	PUNCT
ejpam-5071	33	20	liouville	liouville	VERB
ejpam-5071	33	21	fractional	fractional	PROPN
ejpam-5071	33	22	operator[27	operator[27	PROPN
ejpam-5071	33	23	]	]	PUNCT
ejpam-5071	33	24	,	,	PUNCT
ejpam-5071	33	25	the	the	DET
ejpam-5071	33	26	extrapolation	extrapolation	NOUN
ejpam-5071	33	27	technique[22	technique[22	NOUN
ejpam-5071	33	28	]	]	PUNCT
ejpam-5071	33	29	,	,	PUNCT
ejpam-5071	33	30	the	the	DET
ejpam-5071	33	31	adomian	adomian	NOUN
ejpam-5071	33	32	decomposition	decomposition	NOUN
ejpam-5071	33	33	method(adm)[2	method(adm)[2	PROPN
ejpam-5071	33	34	]	]	PUNCT
ejpam-5071	33	35	and	and	CCONJ
ejpam-5071	33	36	the	the	DET
ejpam-5071	33	37	variational	variational	ADJ
ejpam-5071	33	38	iteration	iteration	NOUN
ejpam-5071	33	39	method(vim)[24	method(vim)[24	NOUN
ejpam-5071	33	40	]	]	PUNCT
ejpam-5071	33	41	.	.	PUNCT
ejpam-5071	34	1	in	in	ADP
ejpam-5071	34	2	[	[	X
ejpam-5071	34	3	14	14	NUM
ejpam-5071	34	4	]	]	PUNCT
ejpam-5071	34	5	,	,	PUNCT
ejpam-5071	34	6	the	the	DET
ejpam-5071	34	7	authors	author	NOUN
ejpam-5071	34	8	stated	state	VERB
ejpam-5071	34	9	the	the	DET
ejpam-5071	34	10	existence	existence	NOUN
ejpam-5071	34	11	,	,	PUNCT
ejpam-5071	34	12	uniqueness	uniqueness	NOUN
ejpam-5071	34	13	,	,	PUNCT
ejpam-5071	34	14	and	and	CCONJ
ejpam-5071	34	15	singularity	singularity	NOUN
ejpam-5071	34	16	properties	property	NOUN
ejpam-5071	34	17	of	of	ADP
ejpam-5071	34	18	linear	linear	ADJ
ejpam-5071	34	19	wsvie	wsvie	NOUN
ejpam-5071	34	20	for	for	ADP
ejpam-5071	34	21	the	the	DET
ejpam-5071	34	22	case	case	NOUN
ejpam-5071	34	23	when	when	SCONJ
ejpam-5071	34	24	1	1	NUM
ejpam-5071	34	25	.	.	NOUN
ejpam-5071	34	26	0	0	PUNCT
ejpam-5071	34	27	<	<	X
ejpam-5071	34	28	µ	µ	X
ejpam-5071	34	29	≤	≤	NUM
ejpam-5071	34	30	1	1	NUM
ejpam-5071	34	31	,	,	PUNCT
ejpam-5071	34	32	if	if	SCONJ
ejpam-5071	34	33	0	0	NUM
ejpam-5071	34	34	<	<	X
ejpam-5071	34	35	µ	µ	X
ejpam-5071	34	36	<	<	X
ejpam-5071	34	37	1	1	NUM
ejpam-5071	34	38	,	,	PUNCT
ejpam-5071	34	39	the	the	DET
ejpam-5071	34	40	kernel	kernel	NOUN
ejpam-5071	34	41	is	be	AUX
ejpam-5071	34	42	singular	singular	ADJ
ejpam-5071	34	43	at	at	ADP
ejpam-5071	34	44	x	x	X
ejpam-5071	34	45	=	=	SYM
ejpam-5071	34	46	0	0	NUM
ejpam-5071	34	47	and	and	CCONJ
ejpam-5071	34	48	t	t	X
ejpam-5071	34	49	=	=	SYM
ejpam-5071	34	50	0	0	NUM
ejpam-5071	34	51	for	for	ADP
ejpam-5071	34	52	all	all	DET
ejpam-5071	34	53	values	value	NOUN
ejpam-5071	34	54	of	of	ADP
ejpam-5071	34	55	t	t	PROPN
ejpam-5071	34	56	>	>	X
ejpam-5071	34	57	0	0	X
ejpam-5071	34	58	.	.	PUNCT
ejpam-5071	34	59	equation(1	equation(1	PROPN
ejpam-5071	34	60	)	)	PUNCT
ejpam-5071	34	61	has	have	VERB
ejpam-5071	34	62	an	an	DET
ejpam-5071	34	63	infinite	infinite	ADJ
ejpam-5071	34	64	set	set	NOUN
ejpam-5071	34	65	of	of	ADP
ejpam-5071	34	66	solutions	solution	NOUN
ejpam-5071	34	67	,	,	PUNCT
ejpam-5071	34	68	but	but	CCONJ
ejpam-5071	34	69	if	if	SCONJ
ejpam-5071	34	70	µ	µ	X
ejpam-5071	34	71	=	=	SYM
ejpam-5071	34	72	1	1	NUM
ejpam-5071	34	73	,	,	PUNCT
ejpam-5071	34	74	then	then	ADV
ejpam-5071	34	75	the	the	DET
ejpam-5071	34	76	kernel	kernel	NOUN
ejpam-5071	34	77	has	have	VERB
ejpam-5071	34	78	a	a	DET
ejpam-5071	34	79	singularity	singularity	NOUN
ejpam-5071	34	80	only	only	ADV
ejpam-5071	34	81	at	at	ADP
ejpam-5071	34	82	x	x	X
ejpam-5071	34	83	=	=	SYM
ejpam-5071	34	84	0	0	NUM
ejpam-5071	34	85	,	,	PUNCT
ejpam-5071	34	86	and	and	CCONJ
ejpam-5071	34	87	in	in	ADP
ejpam-5071	34	88	this	this	DET
ejpam-5071	34	89	case	case	NOUN
ejpam-5071	34	90	,	,	PUNCT
ejpam-5071	34	91	when	when	SCONJ
ejpam-5071	34	92	fϵc1[0	fϵc1[0	INTJ
ejpam-5071	34	93	,	,	PUNCT
ejpam-5071	34	94	x	x	X
ejpam-5071	34	95	]	]	X
ejpam-5071	34	96	with	with	ADP
ejpam-5071	34	97	f(0	f(0	NOUN
ejpam-5071	34	98	)	)	PUNCT
ejpam-5071	34	99	=	=	SYM
ejpam-5071	34	100	1	1	NUM
ejpam-5071	34	101	,	,	PUNCT
ejpam-5071	34	102	equation(1	equation(1	PROPN
ejpam-5071	34	103	)	)	PUNCT
ejpam-5071	34	104	has	have	VERB
ejpam-5071	34	105	an	an	DET
ejpam-5071	34	106	infinite	infinite	ADJ
ejpam-5071	34	107	set	set	NOUN
ejpam-5071	34	108	of	of	ADP
ejpam-5071	34	109	solutions	solution	NOUN
ejpam-5071	34	110	in	in	ADP
ejpam-5071	34	111	c[0,x	c[0,x	PROPN
ejpam-5071	34	112	]	]	PUNCT
ejpam-5071	34	113	,	,	PUNCT
ejpam-5071	34	114	which	which	PRON
ejpam-5071	34	115	contains	contain	VERB
ejpam-5071	34	116	only	only	ADV
ejpam-5071	34	117	one	one	NUM
ejpam-5071	34	118	particular	particular	ADJ
ejpam-5071	34	119	solution	solution	NOUN
ejpam-5071	34	120	belonging	belong	VERB
ejpam-5071	34	121	to	to	ADP
ejpam-5071	34	122	c1[0	c1[0	PROPN
ejpam-5071	34	123	,	,	PUNCT
ejpam-5071	34	124	x	x	X
ejpam-5071	34	125	]	]	X
ejpam-5071	34	126	.	.	PUNCT
ejpam-5071	35	1	2	2	X
ejpam-5071	35	2	.	.	X
ejpam-5071	35	3	when	when	SCONJ
ejpam-5071	35	4	µ	µ	X
ejpam-5071	35	5	>	>	SYM
ejpam-5071	35	6	1	1	NUM
ejpam-5071	35	7	,	,	PUNCT
ejpam-5071	35	8	the	the	DET
ejpam-5071	35	9	kernel	kernel	NOUN
ejpam-5071	35	10	has	have	VERB
ejpam-5071	35	11	a	a	DET
ejpam-5071	35	12	singularity	singularity	NOUN
ejpam-5071	35	13	only	only	ADV
ejpam-5071	35	14	at	at	ADP
ejpam-5071	35	15	x	x	X
ejpam-5071	35	16	=	=	SYM
ejpam-5071	35	17	0	0	NUM
ejpam-5071	35	18	,	,	PUNCT
ejpam-5071	35	19	and	and	CCONJ
ejpam-5071	35	20	equation	equation	NOUN
ejpam-5071	35	21	(	(	PUNCT
ejpam-5071	35	22	1	1	X
ejpam-5071	35	23	)	)	PUNCT
ejpam-5071	35	24	is	be	AUX
ejpam-5071	35	25	said	say	VERB
ejpam-5071	35	26	to	to	PART
ejpam-5071	35	27	have	have	VERB
ejpam-5071	35	28	a	a	DET
ejpam-5071	35	29	unique	unique	ADJ
ejpam-5071	35	30	solution	solution	NOUN
ejpam-5071	35	31	in	in	ADP
ejpam-5071	35	32	cm[0	cm[0	PROPN
ejpam-5071	35	33	,	,	PUNCT
ejpam-5071	35	34	x	x	X
ejpam-5071	35	35	]	]	X
ejpam-5071	35	36	,	,	PUNCT
ejpam-5071	35	37	fϵcm[0	fϵcm[0	NOUN
ejpam-5071	35	38	,	,	PUNCT
ejpam-5071	35	39	x][17	x][17	PROPN
ejpam-5071	35	40	]	]	PUNCT
ejpam-5071	35	41	in	in	ADP
ejpam-5071	35	42	solving	solve	VERB
ejpam-5071	35	43	the	the	DET
ejpam-5071	35	44	wsvie	wsvie	NOUN
ejpam-5071	35	45	,	,	PUNCT
ejpam-5071	35	46	authors	author	NOUN
ejpam-5071	35	47	mostly	mostly	ADV
ejpam-5071	35	48	use	use	VERB
ejpam-5071	35	49	a	a	DET
ejpam-5071	35	50	specific	specific	ADJ
ejpam-5071	35	51	force	force	NOUN
ejpam-5071	35	52	function	function	NOUN
ejpam-5071	35	53	or	or	CCONJ
ejpam-5071	35	54	force	force	VERB
ejpam-5071	35	55	function	function	NOUN
ejpam-5071	35	56	formula	formula	NOUN
ejpam-5071	35	57	in	in	ADP
ejpam-5071	35	58	their	their	PRON
ejpam-5071	35	59	solution	solution	NOUN
ejpam-5071	35	60	.	.	PUNCT
ejpam-5071	36	1	in[2	in[2	NUM
ejpam-5071	36	2	,	,	PUNCT
ejpam-5071	36	3	15	15	NUM
ejpam-5071	36	4	,	,	PUNCT
ejpam-5071	36	5	18	18	NUM
ejpam-5071	36	6	,	,	PUNCT
ejpam-5071	36	7	30	30	NUM
ejpam-5071	36	8	]	]	PUNCT
ejpam-5071	36	9	,	,	PUNCT
ejpam-5071	36	10	the	the	DET
ejpam-5071	36	11	authors	author	NOUN
ejpam-5071	36	12	applied	apply	VERB
ejpam-5071	36	13	the	the	DET
ejpam-5071	36	14	adomian	adomian	NOUN
ejpam-5071	36	15	decomposition	decomposition	NOUN
ejpam-5071	36	16	method	method	NOUN
ejpam-5071	36	17	(	(	PUNCT
ejpam-5071	36	18	adm	adm	PROPN
ejpam-5071	36	19	)	)	PUNCT
ejpam-5071	36	20	for	for	ADP
ejpam-5071	36	21	solving	solve	VERB
ejpam-5071	36	22	linear	linear	NOUN
ejpam-5071	36	23	and	and	CCONJ
ejpam-5071	36	24	nonlinear	nonlinear	ADJ
ejpam-5071	36	25	weakly	weakly	ADJ
ejpam-5071	36	26	singular	singular	PROPN
ejpam-5071	36	27	volterra	volterra	PROPN
ejpam-5071	36	28	integral	integral	ADJ
ejpam-5071	36	29	equations	equation	NOUN
ejpam-5071	36	30	with	with	ADP
ejpam-5071	36	31	the	the	DET
ejpam-5071	36	32	reproducing	reproduce	VERB
ejpam-5071	36	33	kernel	kernel	NOUN
ejpam-5071	36	34	.	.	PUNCT
ejpam-5071	37	1	the	the	DET
ejpam-5071	37	2	homotopy	homotopy	NOUN
ejpam-5071	37	3	method	method	NOUN
ejpam-5071	37	4	was	be	AUX
ejpam-5071	37	5	used	use	VERB
ejpam-5071	37	6	in[7	in[7	PROPN
ejpam-5071	37	7	,	,	PUNCT
ejpam-5071	37	8	16	16	NUM
ejpam-5071	37	9	,	,	PUNCT
ejpam-5071	37	10	20	20	NUM
ejpam-5071	37	11	,	,	PUNCT
ejpam-5071	37	12	21	21	NUM
ejpam-5071	37	13	,	,	PUNCT
ejpam-5071	37	14	26	26	NUM
ejpam-5071	37	15	]	]	PUNCT
ejpam-5071	37	16	,	,	PUNCT
ejpam-5071	37	17	to	to	PART
ejpam-5071	37	18	solve	solve	VERB
ejpam-5071	37	19	linear	linear	ADJ
ejpam-5071	37	20	and	and	CCONJ
ejpam-5071	37	21	nolinear	nolinear	PROPN
ejpam-5071	37	22	volterra	volterra	PROPN
ejpam-5071	37	23	integral	integral	ADJ
ejpam-5071	37	24	equations	equation	NOUN
ejpam-5071	37	25	using	use	VERB
ejpam-5071	37	26	specific	specific	ADJ
ejpam-5071	37	27	force	force	NOUN
ejpam-5071	37	28	functions	function	NOUN
ejpam-5071	37	29	.	.	PUNCT
ejpam-5071	38	1	in	in	ADP
ejpam-5071	38	2	[	[	X
ejpam-5071	38	3	5	5	NUM
ejpam-5071	38	4	,	,	PUNCT
ejpam-5071	38	5	28	28	NUM
ejpam-5071	38	6	,	,	PUNCT
ejpam-5071	38	7	29	29	NUM
ejpam-5071	38	8	,	,	PUNCT
ejpam-5071	38	9	31	31	NUM
ejpam-5071	38	10	]	]	PUNCT
ejpam-5071	38	11	,	,	PUNCT
ejpam-5071	38	12	the	the	DET
ejpam-5071	38	13	authors	author	NOUN
ejpam-5071	38	14	used	use	VERB
ejpam-5071	38	15	the	the	DET
ejpam-5071	38	16	variational	variational	ADJ
ejpam-5071	38	17	iteration	iteration	NOUN
ejpam-5071	38	18	method	method	NOUN
ejpam-5071	38	19	(	(	PUNCT
ejpam-5071	38	20	vim	vim	NOUN
ejpam-5071	38	21	)	)	PUNCT
ejpam-5071	38	22	to	to	PART
ejpam-5071	38	23	solve	solve	VERB
ejpam-5071	38	24	linear	linear	ADJ
ejpam-5071	38	25	and	and	CCONJ
ejpam-5071	38	26	nonlinear	nonlinear	ADJ
ejpam-5071	38	27	volterra	volterra	PROPN
ejpam-5071	38	28	integral	integral	ADJ
ejpam-5071	38	29	equations	equation	NOUN
ejpam-5071	38	30	using	use	VERB
ejpam-5071	38	31	specific	specific	ADJ
ejpam-5071	38	32	force	force	NOUN
ejpam-5071	38	33	functions	function	NOUN
ejpam-5071	38	34	.	.	PUNCT
ejpam-5071	39	1	applying	apply	VERB
ejpam-5071	39	2	the	the	DET
ejpam-5071	39	3	series	series	NOUN
ejpam-5071	39	4	solution	solution	NOUN
ejpam-5071	39	5	method	method	NOUN
ejpam-5071	39	6	(	(	PUNCT
ejpam-5071	39	7	ssm	ssm	NOUN
ejpam-5071	39	8	)	)	PUNCT
ejpam-5071	39	9	given	give	VERB
ejpam-5071	39	10	in	in	ADP
ejpam-5071	39	11	[	[	X
ejpam-5071	39	12	18	18	NUM
ejpam-5071	39	13	,	,	PUNCT
ejpam-5071	39	14	29	29	NUM
ejpam-5071	39	15	,	,	PUNCT
ejpam-5071	39	16	31	31	NUM
ejpam-5071	39	17	]	]	PUNCT
ejpam-5071	39	18	,	,	PUNCT
ejpam-5071	39	19	the	the	DET
ejpam-5071	39	20	authors	author	NOUN
ejpam-5071	39	21	solved	solve	VERB
ejpam-5071	39	22	the	the	DET
ejpam-5071	39	23	linear	linear	ADJ
ejpam-5071	39	24	wsvie	wsvie	NOUN
ejpam-5071	39	25	and	and	CCONJ
ejpam-5071	40	1	k.	k.	PROPN
ejpam-5071	40	2	f.	f.	PROPN
ejpam-5071	40	3	sarfo	sarfo	PROPN
ejpam-5071	40	4	et	et	PROPN
ejpam-5071	40	5	al	al	PROPN
ejpam-5071	40	6	.	.	PUNCT
ejpam-5071	40	7	/	/	SYM
ejpam-5071	40	8	eur	eur	PROPN
ejpam-5071	40	9	.	.	PUNCT
ejpam-5071	41	1	j.	j.	PROPN
ejpam-5071	41	2	pure	pure	PROPN
ejpam-5071	41	3	appl	appl	PROPN
ejpam-5071	41	4	.	.	PROPN
ejpam-5071	41	5	math	math	PROPN
ejpam-5071	41	6	,	,	PUNCT
ejpam-5071	41	7	17	17	NUM
ejpam-5071	41	8	(	(	PUNCT
ejpam-5071	41	9	2	2	NUM
ejpam-5071	41	10	)	)	PUNCT
ejpam-5071	41	11	(	(	PUNCT
ejpam-5071	41	12	2024	2024	NUM
ejpam-5071	41	13	)	)	PUNCT
ejpam-5071	41	14	,	,	PUNCT
ejpam-5071	41	15	1046	1046	NUM
ejpam-5071	41	16	-	-	SYM
ejpam-5071	41	17	1069	1069	NUM
ejpam-5071	41	18	1048	1048	NUM
ejpam-5071	41	19	obtained	obtain	VERB
ejpam-5071	41	20	an	an	DET
ejpam-5071	41	21	exact	exact	ADJ
ejpam-5071	41	22	solution	solution	NOUN
ejpam-5071	41	23	.	.	PUNCT
ejpam-5071	42	1	in[6	in[6	NOUN
ejpam-5071	42	2	]	]	PUNCT
ejpam-5071	42	3	,	,	PUNCT
ejpam-5071	42	4	the	the	DET
ejpam-5071	42	5	modified	modify	VERB
ejpam-5071	42	6	adomian	adomian	NOUN
ejpam-5071	42	7	decomposition	decomposition	NOUN
ejpam-5071	42	8	method	method	NOUN
ejpam-5071	42	9	(	(	PUNCT
ejpam-5071	42	10	madm	madm	NOUN
ejpam-5071	42	11	)	)	PUNCT
ejpam-5071	42	12	introduced	introduce	VERB
ejpam-5071	42	13	by	by	ADP
ejpam-5071	42	14	wazwaz[29	wazwaz[29	PROPN
ejpam-5071	42	15	]	]	PUNCT
ejpam-5071	42	16	to	to	PART
ejpam-5071	42	17	accelerate	accelerate	VERB
ejpam-5071	42	18	the	the	DET
ejpam-5071	42	19	convergence	convergence	NOUN
ejpam-5071	42	20	of	of	ADP
ejpam-5071	42	21	the	the	DET
ejpam-5071	42	22	adm	adm	NOUN
ejpam-5071	42	23	was	be	AUX
ejpam-5071	42	24	implemented	implement	VERB
ejpam-5071	42	25	.	.	PUNCT
ejpam-5071	43	1	daftardar	daftardar	ADV
ejpam-5071	43	2	-	-	PUNCT
ejpam-5071	43	3	jafari	jafari	PROPN
ejpam-5071	43	4	discovered	discover	VERB
ejpam-5071	43	5	the	the	DET
ejpam-5071	43	6	iterative	iterative	NOUN
ejpam-5071	43	7	method[12	method[12	PROPN
ejpam-5071	43	8	]	]	PUNCT
ejpam-5071	43	9	,	,	PUNCT
ejpam-5071	43	10	popularly	popularly	ADV
ejpam-5071	43	11	known	know	VERB
ejpam-5071	43	12	as	as	ADP
ejpam-5071	43	13	djm	djm	PROPN
ejpam-5071	43	14	,	,	PUNCT
ejpam-5071	43	15	for	for	ADP
ejpam-5071	43	16	solving	solve	VERB
ejpam-5071	43	17	general	general	ADJ
ejpam-5071	43	18	functional	functional	ADJ
ejpam-5071	43	19	equations	equation	NOUN
ejpam-5071	43	20	,	,	PUNCT
ejpam-5071	43	21	including	include	VERB
ejpam-5071	43	22	nonlinear	nonlinear	PROPN
ejpam-5071	43	23	volterra	volterra	PROPN
ejpam-5071	43	24	integral	integral	ADJ
ejpam-5071	43	25	equations	equation	NOUN
ejpam-5071	43	26	,	,	PUNCT
ejpam-5071	43	27	algebraic	algebraic	ADJ
ejpam-5071	43	28	equations	equation	NOUN
ejpam-5071	43	29	and	and	CCONJ
ejpam-5071	43	30	systems	system	NOUN
ejpam-5071	43	31	of	of	ADP
ejpam-5071	43	32	ordinary	ordinary	ADJ
ejpam-5071	43	33	differential	differential	ADJ
ejpam-5071	43	34	equations	equation	NOUN
ejpam-5071	43	35	,	,	PUNCT
ejpam-5071	43	36	nonlinear	nonlinear	ADJ
ejpam-5071	43	37	algebraic	algebraic	ADJ
ejpam-5071	43	38	equations	equation	NOUN
ejpam-5071	43	39	,	,	PUNCT
ejpam-5071	43	40	and	and	CCONJ
ejpam-5071	43	41	fractional	fractional	ADJ
ejpam-5071	43	42	differential	differential	ADJ
ejpam-5071	43	43	equations	equation	NOUN
ejpam-5071	43	44	.	.	PUNCT
ejpam-5071	44	1	in	in	ADP
ejpam-5071	44	2	[	[	X
ejpam-5071	44	3	1	1	NUM
ejpam-5071	44	4	,	,	PUNCT
ejpam-5071	44	5	3	3	NUM
ejpam-5071	44	6	,	,	PUNCT
ejpam-5071	44	7	4	4	NUM
ejpam-5071	44	8	,	,	PUNCT
ejpam-5071	44	9	25	25	NUM
ejpam-5071	44	10	]	]	PUNCT
ejpam-5071	44	11	,	,	PUNCT
ejpam-5071	44	12	the	the	DET
ejpam-5071	44	13	authors	author	NOUN
ejpam-5071	44	14	solved	solve	VERB
ejpam-5071	44	15	various	various	ADJ
ejpam-5071	44	16	problems	problem	NOUN
ejpam-5071	44	17	using	use	VERB
ejpam-5071	44	18	djm	djm	PROPN
ejpam-5071	44	19	.	.	PUNCT
ejpam-5071	45	1	in	in	ADP
ejpam-5071	45	2	[	[	X
ejpam-5071	45	3	18	18	NUM
ejpam-5071	45	4	]	]	PUNCT
ejpam-5071	45	5	,	,	PUNCT
ejpam-5071	45	6	the	the	DET
ejpam-5071	45	7	authors	author	NOUN
ejpam-5071	45	8	used	use	VERB
ejpam-5071	45	9	a	a	DET
ejpam-5071	45	10	force	force	NOUN
ejpam-5071	45	11	function	function	NOUN
ejpam-5071	45	12	formula	formula	NOUN
ejpam-5071	45	13	instead	instead	ADV
ejpam-5071	45	14	of	of	ADP
ejpam-5071	45	15	a	a	DET
ejpam-5071	45	16	specific	specific	ADJ
ejpam-5071	45	17	force	force	NOUN
ejpam-5071	45	18	function	function	NOUN
ejpam-5071	45	19	to	to	PART
ejpam-5071	45	20	obtain	obtain	VERB
ejpam-5071	45	21	unique	unique	ADJ
ejpam-5071	45	22	solutions	solution	NOUN
ejpam-5071	45	23	for	for	ADP
ejpam-5071	45	24	linear	linear	PROPN
ejpam-5071	45	25	wsvie	wsvie	NOUN
ejpam-5071	45	26	.	.	PUNCT
ejpam-5071	46	1	in	in	ADP
ejpam-5071	46	2	[	[	PUNCT
ejpam-5071	46	3	29],the	29],the	DET
ejpam-5071	46	4	authors	author	NOUN
ejpam-5071	46	5	discovered	discover	VERB
ejpam-5071	46	6	noise	noise	NOUN
ejpam-5071	46	7	term	term	NOUN
ejpam-5071	46	8	phenomena	phenomenon	NOUN
ejpam-5071	46	9	such	such	ADJ
ejpam-5071	46	10	that	that	SCONJ
ejpam-5071	46	11	terms	term	NOUN
ejpam-5071	46	12	in	in	ADP
ejpam-5071	46	13	series	series	NOUN
ejpam-5071	46	14	solutions	solution	NOUN
ejpam-5071	46	15	cancelled	cancel	VERB
ejpam-5071	46	16	out	out	ADP
ejpam-5071	46	17	to	to	PART
ejpam-5071	46	18	give	give	VERB
ejpam-5071	46	19	an	an	DET
ejpam-5071	46	20	exact	exact	ADJ
ejpam-5071	46	21	solution	solution	NOUN
ejpam-5071	46	22	in	in	ADP
ejpam-5071	46	23	a	a	DET
ejpam-5071	46	24	finite	finite	ADJ
ejpam-5071	46	25	number	number	NOUN
ejpam-5071	46	26	of	of	ADP
ejpam-5071	46	27	solution	solution	NOUN
ejpam-5071	46	28	terms	term	NOUN
ejpam-5071	46	29	.	.	PUNCT
ejpam-5071	47	1	the	the	DET
ejpam-5071	47	2	noise	noise	NOUN
ejpam-5071	47	3	term	term	NOUN
ejpam-5071	47	4	phenomenon	phenomenon	NOUN
ejpam-5071	47	5	was	be	AUX
ejpam-5071	47	6	reinforced	reinforce	VERB
ejpam-5071	47	7	in	in	ADP
ejpam-5071	47	8	[	[	X
ejpam-5071	47	9	32	32	NUM
ejpam-5071	47	10	]	]	PUNCT
ejpam-5071	47	11	.	.	PUNCT
ejpam-5071	48	1	to	to	ADP
ejpam-5071	48	2	the	the	DET
ejpam-5071	48	3	best	good	ADJ
ejpam-5071	48	4	of	of	ADP
ejpam-5071	48	5	our	our	PRON
ejpam-5071	48	6	knowledge	knowledge	NOUN
ejpam-5071	48	7	,	,	PUNCT
ejpam-5071	48	8	only	only	ADV
ejpam-5071	48	9	al	al	PROPN
ejpam-5071	48	10	-	-	PUNCT
ejpam-5071	48	11	jawary	jawary	PROPN
ejpam-5071	48	12	and	and	CCONJ
ejpam-5071	48	13	shehan	shehan	ADV
ejpam-5071	49	1	[	[	X
ejpam-5071	49	2	4	4	X
ejpam-5071	49	3	]	]	PUNCT
ejpam-5071	49	4	have	have	AUX
ejpam-5071	49	5	implemented	implement	VERB
ejpam-5071	49	6	the	the	DET
ejpam-5071	49	7	djm	djm	NOUN
ejpam-5071	49	8	to	to	PART
ejpam-5071	49	9	solve	solve	VERB
ejpam-5071	49	10	both	both	CCONJ
ejpam-5071	49	11	linear	linear	ADJ
ejpam-5071	49	12	and	and	CCONJ
ejpam-5071	49	13	nonlinear	nonlinear	ADJ
ejpam-5071	49	14	wsvie	wsvie	NOUN
ejpam-5071	49	15	while	while	SCONJ
ejpam-5071	49	16	using	use	VERB
ejpam-5071	49	17	the	the	DET
ejpam-5071	49	18	reproducing	reproduce	VERB
ejpam-5071	49	19	kernel	kernel	PROPN
ejpam-5071	49	20	k(x	k(x	PROPN
ejpam-5071	49	21	,	,	PUNCT
ejpam-5071	49	22	t	t	PROPN
ejpam-5071	49	23	)	)	PUNCT
ejpam-5071	49	24	=	=	VERB
ejpam-5071	50	1	tµ−1	tµ−1	VERB
ejpam-5071	50	2	xµ	xµ	X
ejpam-5071	50	3	in	in	ADP
ejpam-5071	50	4	u(x	u(x	NOUN
ejpam-5071	50	5	)	)	PUNCT
ejpam-5071	50	6	=	=	SYM
ejpam-5071	50	7	f(x	f(x	PROPN
ejpam-5071	50	8	)	)	PUNCT
ejpam-5071	51	1	+	+	CCONJ
ejpam-5071	51	2	∫	∫	PROPN
ejpam-5071	51	3	x	x	SYM
ejpam-5071	51	4	0	0	PROPN
ejpam-5071	51	5	tµ−1	tµ−1	VERB
ejpam-5071	51	6	xµ	xµ	PROPN
ejpam-5071	52	1	[	[	X
ejpam-5071	52	2	u(t)]βdt	u(t)]βdt	NOUN
ejpam-5071	52	3	.	.	PUNCT
ejpam-5071	53	1	(	(	PUNCT
ejpam-5071	53	2	2	2	X
ejpam-5071	53	3	)	)	PUNCT
ejpam-5071	53	4	in	in	ADP
ejpam-5071	53	5	[	[	X
ejpam-5071	53	6	4	4	NUM
ejpam-5071	53	7	]	]	PUNCT
ejpam-5071	53	8	,	,	PUNCT
ejpam-5071	53	9	the	the	DET
ejpam-5071	53	10	authors	author	NOUN
ejpam-5071	53	11	provided	provide	VERB
ejpam-5071	53	12	a	a	DET
ejpam-5071	53	13	limited	limited	ADJ
ejpam-5071	53	14	solution	solution	NOUN
ejpam-5071	53	15	to	to	ADP
ejpam-5071	53	16	the	the	DET
ejpam-5071	53	17	wsvie	wsvie	NOUN
ejpam-5071	53	18	of	of	ADP
ejpam-5071	53	19	equation	equation	NOUN
ejpam-5071	53	20	(	(	PUNCT
ejpam-5071	53	21	1	1	X
ejpam-5071	53	22	)	)	PUNCT
ejpam-5071	53	23	using	use	VERB
ejpam-5071	53	24	two	two	NUM
ejpam-5071	53	25	specific	specific	ADJ
ejpam-5071	53	26	force	force	NOUN
ejpam-5071	53	27	functions	function	NOUN
ejpam-5071	53	28	,	,	PUNCT
ejpam-5071	53	29	f(x	f(x	PROPN
ejpam-5071	53	30	)	)	PUNCT
ejpam-5071	54	1	=	=	PUNCT
ejpam-5071	55	1	x	x	SYM
ejpam-5071	55	2	1	1	NUM
ejpam-5071	55	3	2	2	NUM
ejpam-5071	55	4	−	−	NUM
ejpam-5071	55	5	5	5	NUM
ejpam-5071	55	6	11x	11x	NOUN
ejpam-5071	55	7	and	and	CCONJ
ejpam-5071	55	8	f(x	f(x	PROPN
ejpam-5071	55	9	)	)	PUNCT
ejpam-5071	56	1	=	=	PUNCT
ejpam-5071	57	1	x	x	SYM
ejpam-5071	57	2	−	−	PROPN
ejpam-5071	57	3	2	2	NUM
ejpam-5071	57	4	9x	9x	NOUN
ejpam-5071	57	5	3	3	NUM
ejpam-5071	57	6	with	with	ADP
ejpam-5071	57	7	specific	specific	ADJ
ejpam-5071	57	8	parameter	parameter	NOUN
ejpam-5071	57	9	values	value	NOUN
ejpam-5071	57	10	of	of	ADP
ejpam-5071	57	11	β	β	X
ejpam-5071	57	12	=	=	SYM
ejpam-5071	57	13	2	2	NUM
ejpam-5071	57	14	and	and	CCONJ
ejpam-5071	57	15	3	3	NUM
ejpam-5071	57	16	.	.	PUNCT
ejpam-5071	58	1	in	in	ADP
ejpam-5071	58	2	this	this	DET
ejpam-5071	58	3	paper	paper	NOUN
ejpam-5071	58	4	,	,	PUNCT
ejpam-5071	58	5	our	our	PRON
ejpam-5071	58	6	solution	solution	NOUN
ejpam-5071	58	7	is	be	AUX
ejpam-5071	58	8	also	also	ADV
ejpam-5071	58	9	based	base	VERB
ejpam-5071	58	10	on	on	ADP
ejpam-5071	58	11	the	the	DET
ejpam-5071	58	12	method	method	NOUN
ejpam-5071	58	13	of	of	ADP
ejpam-5071	58	14	djm[12	djm[12	NOUN
ejpam-5071	58	15	]	]	PUNCT
ejpam-5071	58	16	,	,	PUNCT
ejpam-5071	58	17	wherein	wherein	SCONJ
ejpam-5071	58	18	we	we	PRON
ejpam-5071	58	19	introduce	introduce	VERB
ejpam-5071	58	20	a	a	DET
ejpam-5071	58	21	force	force	NOUN
ejpam-5071	58	22	function	function	NOUN
ejpam-5071	58	23	formula	formula	NOUN
ejpam-5071	58	24	in	in	ADP
ejpam-5071	58	25	line	line	NOUN
ejpam-5071	58	26	with	with	ADP
ejpam-5071	58	27	hasan	hasan	PROPN
ejpam-5071	58	28	and	and	CCONJ
ejpam-5071	58	29	mohammed[18	mohammed[18	PROPN
ejpam-5071	58	30	]	]	PUNCT
ejpam-5071	58	31	.	.	PUNCT
ejpam-5071	59	1	we	we	PRON
ejpam-5071	59	2	use	use	VERB
ejpam-5071	59	3	the	the	DET
ejpam-5071	59	4	force	force	NOUN
ejpam-5071	59	5	function	function	NOUN
ejpam-5071	59	6	formula	formula	NOUN
ejpam-5071	59	7	to	to	PART
ejpam-5071	59	8	expand	expand	VERB
ejpam-5071	59	9	the	the	DET
ejpam-5071	59	10	specific	specific	ADJ
ejpam-5071	59	11	integral	integral	ADJ
ejpam-5071	59	12	values	value	NOUN
ejpam-5071	59	13	of	of	ADP
ejpam-5071	59	14	β	β	X
ejpam-5071	59	15	=	=	SYM
ejpam-5071	59	16	2	2	NUM
ejpam-5071	59	17	and	and	CCONJ
ejpam-5071	59	18	3	3	NUM
ejpam-5071	59	19	in	in	ADP
ejpam-5071	59	20	al	al	PROPN
ejpam-5071	59	21	-	-	PUNCT
ejpam-5071	59	22	jawary	jawary	PROPN
ejpam-5071	59	23	and	and	CCONJ
ejpam-5071	59	24	shehan[4	shehan[4	NOUN
ejpam-5071	59	25	]	]	PUNCT
ejpam-5071	59	26	to	to	ADP
ejpam-5071	59	27	β	β	PROPN
ejpam-5071	59	28	≥	≥	NUM
ejpam-5071	59	29	2	2	NUM
ejpam-5071	59	30	.	.	PUNCT
ejpam-5071	60	1	the	the	DET
ejpam-5071	60	2	force	force	NOUN
ejpam-5071	60	3	function	function	NOUN
ejpam-5071	60	4	formula	formula	NOUN
ejpam-5071	60	5	introduces	introduce	VERB
ejpam-5071	60	6	cancellation	cancellation	NOUN
ejpam-5071	60	7	of	of	ADP
ejpam-5071	60	8	terms	term	NOUN
ejpam-5071	60	9	in	in	ADP
ejpam-5071	60	10	the	the	DET
ejpam-5071	60	11	integral	integral	ADJ
ejpam-5071	60	12	series	series	NOUN
ejpam-5071	60	13	solution	solution	NOUN
ejpam-5071	60	14	to	to	PART
ejpam-5071	60	15	facilitate	facilitate	VERB
ejpam-5071	60	16	a	a	DET
ejpam-5071	60	17	unique	unique	ADJ
ejpam-5071	60	18	solution	solution	NOUN
ejpam-5071	60	19	,	,	PUNCT
ejpam-5071	60	20	as	as	SCONJ
ejpam-5071	60	21	discussed	discuss	VERB
ejpam-5071	60	22	in	in	ADP
ejpam-5071	60	23	[	[	X
ejpam-5071	60	24	32	32	NUM
ejpam-5071	60	25	]	]	PUNCT
ejpam-5071	60	26	as	as	ADP
ejpam-5071	60	27	a	a	DET
ejpam-5071	60	28	noise	noise	NOUN
ejpam-5071	60	29	term	term	NOUN
ejpam-5071	60	30	phenomenon	phenomenon	NOUN
ejpam-5071	60	31	.	.	PUNCT
ejpam-5071	61	1	we	we	PRON
ejpam-5071	61	2	have	have	AUX
ejpam-5071	61	3	derived	derive	VERB
ejpam-5071	61	4	a	a	DET
ejpam-5071	61	5	truncation	truncation	NOUN
ejpam-5071	61	6	point	point	NOUN
ejpam-5071	61	7	formula	formula	NOUN
ejpam-5071	61	8	to	to	PART
ejpam-5071	61	9	augment	augment	VERB
ejpam-5071	61	10	the	the	DET
ejpam-5071	61	11	force	force	NOUN
ejpam-5071	61	12	function	function	VERB
ejpam-5071	61	13	to	to	PART
ejpam-5071	61	14	minimise	minimise	VERB
ejpam-5071	61	15	length	length	NOUN
ejpam-5071	61	16	computation	computation	NOUN
ejpam-5071	61	17	.	.	PUNCT
ejpam-5071	62	1	in	in	ADP
ejpam-5071	62	2	addition	addition	NOUN
ejpam-5071	62	3	,	,	PUNCT
ejpam-5071	62	4	we	we	PRON
ejpam-5071	62	5	have	have	AUX
ejpam-5071	62	6	provided	provide	VERB
ejpam-5071	62	7	solution	solution	NOUN
ejpam-5071	62	8	models	model	NOUN
ejpam-5071	62	9	to	to	PART
ejpam-5071	62	10	facilitate	facilitate	VERB
ejpam-5071	62	11	solution	solution	NOUN
ejpam-5071	62	12	examples	example	NOUN
ejpam-5071	62	13	.	.	PUNCT
ejpam-5071	63	1	finally	finally	ADV
ejpam-5071	63	2	,	,	PUNCT
ejpam-5071	63	3	we	we	PRON
ejpam-5071	63	4	have	have	AUX
ejpam-5071	63	5	extended	extend	VERB
ejpam-5071	63	6	the	the	DET
ejpam-5071	63	7	investigation	investigation	NOUN
ejpam-5071	63	8	parameter	parameter	NOUN
ejpam-5071	63	9	µ	µ	X
ejpam-5071	63	10	>	>	ADP
ejpam-5071	63	11	1	1	NUM
ejpam-5071	63	12	of	of	ADP
ejpam-5071	63	13	[	[	X
ejpam-5071	63	14	4	4	X
ejpam-5071	63	15	]	]	PUNCT
ejpam-5071	63	16	to	to	ADP
ejpam-5071	63	17	0	0	NUM
ejpam-5071	63	18	<	<	X
ejpam-5071	63	19	µ	µ	X
ejpam-5071	63	20	≤	≤	NUM
ejpam-5071	63	21	1	1	NUM
ejpam-5071	63	22	,	,	PUNCT
ejpam-5071	63	23	which	which	PRON
ejpam-5071	63	24	the	the	DET
ejpam-5071	63	25	existing	exist	VERB
ejpam-5071	63	26	literature	literature	NOUN
ejpam-5071	63	27	has	have	AUX
ejpam-5071	63	28	not	not	PART
ejpam-5071	63	29	considered	consider	VERB
ejpam-5071	63	30	.	.	PUNCT
ejpam-5071	64	1	the	the	DET
ejpam-5071	64	2	paper	paper	NOUN
ejpam-5071	64	3	is	be	AUX
ejpam-5071	64	4	organised	organise	VERB
ejpam-5071	64	5	as	as	SCONJ
ejpam-5071	64	6	follows	follow	VERB
ejpam-5071	64	7	:	:	PUNCT
ejpam-5071	64	8	in	in	ADP
ejpam-5071	64	9	section	section	NOUN
ejpam-5071	64	10	2	2	NUM
ejpam-5071	64	11	,	,	PUNCT
ejpam-5071	64	12	the	the	DET
ejpam-5071	64	13	authors	author	NOUN
ejpam-5071	64	14	provided	provide	VERB
ejpam-5071	64	15	the	the	DET
ejpam-5071	64	16	banach	banach	NOUN
ejpam-5071	64	17	space	space	NOUN
ejpam-5071	64	18	assumptions	assumption	NOUN
ejpam-5071	64	19	for	for	ADP
ejpam-5071	64	20	the	the	DET
ejpam-5071	64	21	solutions	solution	NOUN
ejpam-5071	64	22	of	of	ADP
ejpam-5071	64	23	the	the	DET
ejpam-5071	64	24	nonlinear	nonlinear	ADJ
ejpam-5071	64	25	wsvie	wsvie	NOUN
ejpam-5071	64	26	using	use	VERB
ejpam-5071	64	27	djm	djm	PROPN
ejpam-5071	64	28	.	.	PUNCT
ejpam-5071	65	1	in	in	ADP
ejpam-5071	65	2	the	the	DET
ejpam-5071	65	3	same	same	ADJ
ejpam-5071	65	4	section	section	NOUN
ejpam-5071	65	5	,	,	PUNCT
ejpam-5071	65	6	the	the	DET
ejpam-5071	65	7	authors	author	NOUN
ejpam-5071	65	8	introduced	introduce	VERB
ejpam-5071	65	9	a	a	DET
ejpam-5071	65	10	force	force	NOUN
ejpam-5071	65	11	function	function	NOUN
ejpam-5071	65	12	formula	formula	NOUN
ejpam-5071	65	13	to	to	PART
ejpam-5071	65	14	expand	expand	VERB
ejpam-5071	65	15	the	the	DET
ejpam-5071	65	16	djm	djm	NOUN
ejpam-5071	65	17	for	for	ADP
ejpam-5071	65	18	solutions	solution	NOUN
ejpam-5071	65	19	of	of	ADP
ejpam-5071	65	20	the	the	DET
ejpam-5071	65	21	nonlinear	nonlinear	ADJ
ejpam-5071	65	22	wsvie	wsvie	NOUN
ejpam-5071	65	23	.	.	PUNCT
ejpam-5071	66	1	the	the	DET
ejpam-5071	66	2	authors	author	NOUN
ejpam-5071	66	3	then	then	ADV
ejpam-5071	66	4	introduced	introduce	VERB
ejpam-5071	66	5	a	a	DET
ejpam-5071	66	6	truncation	truncation	NOUN
ejpam-5071	66	7	point	point	NOUN
ejpam-5071	66	8	formula	formula	NOUN
ejpam-5071	66	9	that	that	PRON
ejpam-5071	66	10	relates	relate	VERB
ejpam-5071	66	11	the	the	DET
ejpam-5071	66	12	last	last	ADJ
ejpam-5071	66	13	solution	solution	NOUN
ejpam-5071	66	14	term	term	NOUN
ejpam-5071	66	15	and	and	CCONJ
ejpam-5071	66	16	derived	derive	VERB
ejpam-5071	66	17	solution	solution	NOUN
ejpam-5071	66	18	models	model	NOUN
ejpam-5071	66	19	in	in	ADP
ejpam-5071	66	20	sections	section	NOUN
ejpam-5071	66	21	2.2.1	2.2.1	NUM
ejpam-5071	66	22	,	,	PUNCT
ejpam-5071	66	23	2.2.2	2.2.2	NUM
ejpam-5071	66	24	,	,	PUNCT
ejpam-5071	66	25	2.2.3	2.2.3	NUM
ejpam-5071	66	26	,	,	PUNCT
ejpam-5071	66	27	and	and	CCONJ
ejpam-5071	66	28	2.2.4	2.2.4	NUM
ejpam-5071	66	29	.	.	NOUN
ejpam-5071	67	1	in	in	ADP
ejpam-5071	67	2	sections	section	NOUN
ejpam-5071	67	3	3	3	NUM
ejpam-5071	67	4	and	and	CCONJ
ejpam-5071	67	5	4	4	NUM
ejpam-5071	67	6	,	,	PUNCT
ejpam-5071	67	7	the	the	DET
ejpam-5071	67	8	solution	solution	NOUN
ejpam-5071	67	9	models	model	NOUN
ejpam-5071	67	10	were	be	AUX
ejpam-5071	67	11	used	use	VERB
ejpam-5071	67	12	to	to	PART
ejpam-5071	67	13	compute	compute	VERB
ejpam-5071	67	14	solution	solution	NOUN
ejpam-5071	67	15	examples	example	NOUN
ejpam-5071	67	16	for	for	ADP
ejpam-5071	67	17	various	various	ADJ
ejpam-5071	67	18	parameter	parameter	NOUN
ejpam-5071	67	19	values	value	NOUN
ejpam-5071	67	20	of	of	ADP
ejpam-5071	67	21	β	β	X
ejpam-5071	67	22	≥	≥	NUM
ejpam-5071	67	23	2	2	NUM
ejpam-5071	67	24	,	,	PUNCT
ejpam-5071	67	25	k1	k1	NOUN
ejpam-5071	67	26	,	,	PUNCT
ejpam-5071	67	27	and	and	CCONJ
ejpam-5071	67	28	µ	µ	PRON
ejpam-5071	67	29	being	be	AUX
ejpam-5071	67	30	rational	rational	ADJ
ejpam-5071	67	31	.	.	PUNCT
ejpam-5071	68	1	in	in	ADP
ejpam-5071	68	2	section	section	NOUN
ejpam-5071	68	3	5	5	NUM
ejpam-5071	68	4	,	,	PUNCT
ejpam-5071	68	5	results	result	NOUN
ejpam-5071	68	6	were	be	AUX
ejpam-5071	68	7	displayed	display	VERB
ejpam-5071	68	8	using	use	VERB
ejpam-5071	68	9	tables	table	NOUN
ejpam-5071	68	10	and	and	CCONJ
ejpam-5071	68	11	summarized	summarize	VERB
ejpam-5071	68	12	.	.	PUNCT
ejpam-5071	69	1	discussion	discussion	NOUN
ejpam-5071	69	2	of	of	ADP
ejpam-5071	69	3	the	the	DET
ejpam-5071	69	4	results	result	NOUN
ejpam-5071	69	5	was	be	AUX
ejpam-5071	69	6	done	do	VERB
ejpam-5071	69	7	in	in	ADP
ejpam-5071	69	8	section	section	NOUN
ejpam-5071	69	9	6	6	NUM
ejpam-5071	69	10	and	and	CCONJ
ejpam-5071	69	11	ended	end	VERB
ejpam-5071	69	12	with	with	ADP
ejpam-5071	69	13	a	a	DET
ejpam-5071	69	14	conclusion	conclusion	NOUN
ejpam-5071	69	15	in	in	ADP
ejpam-5071	69	16	section	section	NOUN
ejpam-5071	69	17	7	7	NUM
ejpam-5071	69	18	.	.	PUNCT
ejpam-5071	69	19	k.	k.	PROPN
ejpam-5071	69	20	f.	f.	PROPN
ejpam-5071	69	21	sarfo	sarfo	PROPN
ejpam-5071	69	22	et	et	PROPN
ejpam-5071	69	23	al	al	PROPN
ejpam-5071	69	24	.	.	PUNCT
ejpam-5071	69	25	/	/	SYM
ejpam-5071	69	26	eur	eur	PROPN
ejpam-5071	69	27	.	.	PUNCT
ejpam-5071	70	1	j.	j.	PROPN
ejpam-5071	70	2	pure	pure	PROPN
ejpam-5071	70	3	appl	appl	PROPN
ejpam-5071	70	4	.	.	PROPN
ejpam-5071	70	5	math	math	PROPN
ejpam-5071	70	6	,	,	PUNCT
ejpam-5071	70	7	17	17	NUM
ejpam-5071	70	8	(	(	PUNCT
ejpam-5071	70	9	2	2	NUM
ejpam-5071	70	10	)	)	PUNCT
ejpam-5071	70	11	(	(	PUNCT
ejpam-5071	70	12	2024	2024	NUM
ejpam-5071	70	13	)	)	PUNCT
ejpam-5071	70	14	,	,	PUNCT
ejpam-5071	70	15	1046	1046	NUM
ejpam-5071	70	16	-	-	SYM
ejpam-5071	70	17	1069	1069	NUM
ejpam-5071	70	18	1049	1049	NUM
ejpam-5071	70	19	2	2	NUM
ejpam-5071	70	20	.	.	PUNCT
ejpam-5071	70	21	daftardar	daftardar	ADV
ejpam-5071	70	22	-	-	PUNCT
ejpam-5071	70	23	jafari	jafari	ADJ
ejpam-5071	70	24	method(djm	method(djm	PROPN
ejpam-5071	70	25	)	)	PUNCT
ejpam-5071	70	26	for	for	ADP
ejpam-5071	70	27	nonlinear	nonlinear	ADJ
ejpam-5071	70	28	wsvie	wsvie	NOUN
ejpam-5071	70	29	with	with	ADP
ejpam-5071	70	30	reproducing	reproduce	VERB
ejpam-5071	70	31	kernel	kernel	NOUN
ejpam-5071	70	32	following	follow	VERB
ejpam-5071	70	33	the	the	DET
ejpam-5071	70	34	daftardar	daftardar	ADV
ejpam-5071	70	35	-	-	PUNCT
ejpam-5071	70	36	jafari	jafari	ADJ
ejpam-5071	70	37	method	method	NOUN
ejpam-5071	70	38	given	give	VERB
ejpam-5071	70	39	in	in	ADP
ejpam-5071	70	40	[	[	X
ejpam-5071	70	41	12	12	NUM
ejpam-5071	70	42	]	]	PUNCT
ejpam-5071	70	43	,	,	PUNCT
ejpam-5071	70	44	let	let	VERB
ejpam-5071	70	45	f	f	X
ejpam-5071	70	46	,	,	PUNCT
ejpam-5071	70	47	u	u	NOUN
ejpam-5071	70	48	be	be	VERB
ejpam-5071	70	49	in	in	ADP
ejpam-5071	70	50	banach	banach	NOUN
ejpam-5071	70	51	space	space	NOUN
ejpam-5071	70	52	b	b	NOUN
ejpam-5071	70	53	,	,	PUNCT
ejpam-5071	70	54	then	then	ADV
ejpam-5071	70	55	the	the	DET
ejpam-5071	70	56	nonlinear	nonlinear	ADJ
ejpam-5071	70	57	wsvie	wsvie	NOUN
ejpam-5071	70	58	of	of	ADP
ejpam-5071	70	59	equation	equation	NOUN
ejpam-5071	70	60	(	(	PUNCT
ejpam-5071	70	61	1	1	NUM
ejpam-5071	70	62	)	)	PUNCT
ejpam-5071	70	63	,	,	PUNCT
ejpam-5071	70	64	represented	represent	VERB
ejpam-5071	70	65	in	in	ADP
ejpam-5071	70	66	operator	operator	NOUN
ejpam-5071	70	67	form	form	NOUN
ejpam-5071	70	68	,	,	PUNCT
ejpam-5071	70	69	is	be	AUX
ejpam-5071	70	70	expressed	express	VERB
ejpam-5071	70	71	as	as	ADP
ejpam-5071	70	72	:	:	PUNCT
ejpam-5071	70	73	u	u	NOUN
ejpam-5071	70	74	=	=	PUNCT
ejpam-5071	70	75	f	f	PROPN
ejpam-5071	70	76	+	+	PROPN
ejpam-5071	70	77	n(u	n(u	PROPN
ejpam-5071	70	78	)	)	PUNCT
ejpam-5071	70	79	,	,	PUNCT
ejpam-5071	70	80	(	(	PUNCT
ejpam-5071	70	81	3	3	X
ejpam-5071	70	82	)	)	PUNCT
ejpam-5071	70	83	is	be	AUX
ejpam-5071	70	84	in	in	ADP
ejpam-5071	70	85	banach	banach	NOUN
ejpam-5071	70	86	space	space	NOUN
ejpam-5071	70	87	b	b	NOUN
ejpam-5071	70	88	,	,	PUNCT
ejpam-5071	70	89	such	such	ADJ
ejpam-5071	70	90	that	that	DET
ejpam-5071	70	91	b	b	PROPN
ejpam-5071	70	92	7−→	7−→	NOUN
ejpam-5071	70	93	b	b	NOUN
ejpam-5071	70	94	with	with	ADP
ejpam-5071	70	95	the	the	DET
ejpam-5071	70	96	operator	operator	NOUN
ejpam-5071	70	97	n	n	PRON
ejpam-5071	70	98	being	be	AUX
ejpam-5071	70	99	,	,	PUNCT
ejpam-5071	70	100	u	u	NOUN
ejpam-5071	70	101	=	=	PROPN
ejpam-5071	70	102	n(u	n(u	PROPN
ejpam-5071	70	103	)	)	PUNCT
ejpam-5071	70	104	=	=	SYM
ejpam-5071	71	1	∫	∫	PROPN
ejpam-5071	71	2	x	x	SYM
ejpam-5071	71	3	0	0	PUNCT
ejpam-5071	71	4	k(x	k(x	PROPN
ejpam-5071	71	5	,	,	PUNCT
ejpam-5071	71	6	t)u[(t)]βdt	t)u[(t)]βdt	NOUN
ejpam-5071	71	7	.	.	PROPN
ejpam-5071	71	8	(	(	PUNCT
ejpam-5071	71	9	4	4	X
ejpam-5071	71	10	)	)	PUNCT
ejpam-5071	71	11	the	the	DET
ejpam-5071	71	12	solution	solution	NOUN
ejpam-5071	71	13	of	of	ADP
ejpam-5071	71	14	equation	equation	NOUN
ejpam-5071	71	15	(	(	PUNCT
ejpam-5071	71	16	3	3	X
ejpam-5071	71	17	)	)	PUNCT
ejpam-5071	71	18	can	can	AUX
ejpam-5071	71	19	be	be	AUX
ejpam-5071	71	20	represented	represent	VERB
ejpam-5071	71	21	in	in	ADP
ejpam-5071	71	22	series	series	NOUN
ejpam-5071	71	23	form	form	NOUN
ejpam-5071	71	24	:	:	PUNCT
ejpam-5071	71	25	u	u	NOUN
ejpam-5071	71	26	=	=	PUNCT
ejpam-5071	71	27	∞∑	∞∑	PROPN
ejpam-5071	71	28	n=0	n=0	NUM
ejpam-5071	71	29	un	un	X
ejpam-5071	71	30	.	.	PROPN
ejpam-5071	72	1	(	(	PUNCT
ejpam-5071	72	2	5	5	X
ejpam-5071	72	3	)	)	PUNCT
ejpam-5071	72	4	the	the	DET
ejpam-5071	72	5	decomposition	decomposition	NOUN
ejpam-5071	72	6	of	of	ADP
ejpam-5071	72	7	the	the	DET
ejpam-5071	72	8	nonlinear	nonlinear	ADJ
ejpam-5071	72	9	operator	operator	NOUN
ejpam-5071	72	10	n	n	NOUN
ejpam-5071	72	11	yields	yield	NOUN
ejpam-5071	72	12	n	n	INTJ
ejpam-5071	72	13	(	(	PUNCT
ejpam-5071	72	14	∞∑	∞∑	PROPN
ejpam-5071	72	15	n=0	n=0	NUM
ejpam-5071	72	16	un	un	NOUN
ejpam-5071	72	17	)	)	PUNCT
ejpam-5071	73	1	=	=	SYM
ejpam-5071	73	2	n(u0	n(u0	NOUN
ejpam-5071	73	3	)	)	PUNCT
ejpam-5071	74	1	+	+	CCONJ
ejpam-5071	74	2	∞∑	∞∑	NUM
ejpam-5071	74	3	n=1	n=1	ADP
ejpam-5071	74	4	n	n	PROPN
ejpam-5071	74	5	(	(	PUNCT
ejpam-5071	74	6	n∑	n∑	X
ejpam-5071	74	7	j=0	j=0	PROPN
ejpam-5071	74	8	uj	uj	PROPN
ejpam-5071	74	9	)	)	PUNCT
ejpam-5071	74	10	−n	−n	PROPN
ejpam-5071	74	11	(	(	PUNCT
ejpam-5071	74	12	n−1∑	n−1∑	PROPN
ejpam-5071	74	13	j=0	j=0	PROPN
ejpam-5071	74	14	uj	uj	PROPN
ejpam-5071	74	15	)	)	PUNCT
ejpam-5071	74	16			PROPN
ejpam-5071	74	17	.	.	PUNCT
ejpam-5071	75	1	(	(	PUNCT
ejpam-5071	75	2	6	6	NUM
ejpam-5071	75	3	)	)	PUNCT
ejpam-5071	75	4	from	from	ADP
ejpam-5071	75	5	eqns	eqns	PROPN
ejpam-5071	75	6	.	.	PUNCT
ejpam-5071	76	1	(	(	PUNCT
ejpam-5071	76	2	5	5	NUM
ejpam-5071	76	3	)	)	PUNCT
ejpam-5071	76	4	and	and	CCONJ
ejpam-5071	76	5	(	(	PUNCT
ejpam-5071	76	6	6	6	NUM
ejpam-5071	76	7	)	)	PUNCT
ejpam-5071	76	8	,	,	PUNCT
ejpam-5071	76	9	eqn	eqn	PROPN
ejpam-5071	76	10	.	.	PUNCT
ejpam-5071	77	1	(	(	PUNCT
ejpam-5071	77	2	3	3	X
ejpam-5071	77	3	)	)	PUNCT
ejpam-5071	77	4	is	be	AUX
ejpam-5071	77	5	equivalent	equivalent	ADJ
ejpam-5071	77	6	to	to	ADP
ejpam-5071	77	7	∞∑	∞∑	NUM
ejpam-5071	77	8	n=0	n=0	NUM
ejpam-5071	77	9	un	un	NOUN
ejpam-5071	77	10	=	=	SYM
ejpam-5071	77	11	f	f	PROPN
ejpam-5071	78	1	+	+	NOUN
ejpam-5071	78	2	n(u0	n(u0	NOUN
ejpam-5071	78	3	)	)	PUNCT
ejpam-5071	79	1	+	+	CCONJ
ejpam-5071	79	2	∞∑	∞∑	NUM
ejpam-5071	79	3	n=1	n=1	ADP
ejpam-5071	79	4	n	n	PROPN
ejpam-5071	79	5	(	(	PUNCT
ejpam-5071	79	6	n∑	n∑	X
ejpam-5071	79	7	j=0	j=0	PROPN
ejpam-5071	79	8	uj	uj	PROPN
ejpam-5071	79	9	)	)	PUNCT
ejpam-5071	79	10	−n	−n	PROPN
ejpam-5071	79	11	(	(	PUNCT
ejpam-5071	79	12	n−1∑	n−1∑	PROPN
ejpam-5071	79	13	j=0	j=0	PROPN
ejpam-5071	79	14	uj	uj	PROPN
ejpam-5071	79	15	)	)	PUNCT
ejpam-5071	79	16			PROPN
ejpam-5071	79	17	.	.	PUNCT
ejpam-5071	80	1	(	(	PUNCT
ejpam-5071	80	2	7	7	X
ejpam-5071	80	3	)	)	PUNCT
ejpam-5071	80	4	the	the	DET
ejpam-5071	80	5	recurrence	recurrence	NOUN
ejpam-5071	80	6	relation	relation	NOUN
ejpam-5071	80	7	is	be	AUX
ejpam-5071	80	8	defined	define	VERB
ejpam-5071	80	9	as	as	ADP
ejpam-5071	80	10	:	:	PUNCT
ejpam-5071	80	11	u0	u0	ADJ
ejpam-5071	80	12	=	=	SYM
ejpam-5071	80	13	f	f	PROPN
ejpam-5071	80	14	,	,	PUNCT
ejpam-5071	80	15	u1	u1	NOUN
ejpam-5071	80	16	=	=	PUNCT
ejpam-5071	80	17	n(u0	n(u0	NOUN
ejpam-5071	80	18	)	)	PUNCT
ejpam-5071	80	19	,	,	PUNCT
ejpam-5071	80	20	un+1	un+1	NOUN
ejpam-5071	80	21	=	=	SYM
ejpam-5071	80	22	n{(u0	n{(u0	NOUN
ejpam-5071	80	23	+	+	X
ejpam-5071	80	24	.	.	PUNCT
ejpam-5071	80	25	.	.	PUNCT
ejpam-5071	81	1	.+	.+	NOUN
ejpam-5071	81	2	un	un	PROPN
ejpam-5071	81	3	)	)	PUNCT
ejpam-5071	81	4	}	}	PUNCT
ejpam-5071	81	5	−	−	PROPN
ejpam-5071	81	6	(	(	PUNCT
ejpam-5071	81	7	u1	u1	NOUN
ejpam-5071	81	8	+	+	X
ejpam-5071	81	9	.	.	PUNCT
ejpam-5071	81	10	.	.	PUNCT
ejpam-5071	82	1	.+	.+	NOUN
ejpam-5071	82	2	un−1	un−1	PROPN
ejpam-5071	82	3	)	)	PUNCT
ejpam-5071	82	4	,	,	PUNCT
ejpam-5071	82	5	n	n	NOUN
ejpam-5071	82	6	=	=	SYM
ejpam-5071	82	7	1	1	NUM
ejpam-5071	82	8	,	,	PUNCT
ejpam-5071	82	9	2	2	NUM
ejpam-5071	82	10	,	,	PUNCT
ejpam-5071	82	11	.	.	PUNCT
ejpam-5071	82	12	.	.	PUNCT
ejpam-5071	82	13	.	.	PUNCT
ejpam-5071	83	1	(	(	PUNCT
ejpam-5071	83	2	8)	8)	NUM
ejpam-5071	83	3	u	u	NOUN
ejpam-5071	83	4	=	=	SYM
ejpam-5071	83	5	f	f	PROPN
ejpam-5071	83	6	+	+	CCONJ
ejpam-5071	83	7	∞∑	∞∑	PROPN
ejpam-5071	83	8	n=1	n=1	PROPN
ejpam-5071	83	9	un	un	PROPN
ejpam-5071	83	10	.	.	PROPN
ejpam-5071	84	1	(	(	PUNCT
ejpam-5071	84	2	9	9	NUM
ejpam-5071	84	3	)	)	PUNCT
ejpam-5071	84	4	2.1	2.1	NUM
ejpam-5071	84	5	.	.	PUNCT
ejpam-5071	85	1	implementation	implementation	NOUN
ejpam-5071	85	2	of	of	ADP
ejpam-5071	85	3	the	the	DET
ejpam-5071	85	4	djm	djm	PROPN
ejpam-5071	85	5	and	and	CCONJ
ejpam-5071	85	6	the	the	DET
ejpam-5071	85	7	force	force	NOUN
ejpam-5071	85	8	function	function	NOUN
ejpam-5071	85	9	formula	formula	NOUN
ejpam-5071	85	10	in	in	ADP
ejpam-5071	85	11	this	this	DET
ejpam-5071	85	12	section	section	NOUN
ejpam-5071	85	13	,	,	PUNCT
ejpam-5071	85	14	we	we	PRON
ejpam-5071	85	15	present	present	VERB
ejpam-5071	85	16	a	a	DET
ejpam-5071	85	17	solution	solution	NOUN
ejpam-5071	85	18	approach	approach	NOUN
ejpam-5071	85	19	using	use	VERB
ejpam-5071	85	20	our	our	PRON
ejpam-5071	85	21	new	new	ADJ
ejpam-5071	85	22	force	force	NOUN
ejpam-5071	85	23	function	function	NOUN
ejpam-5071	85	24	formula	formula	NOUN
ejpam-5071	85	25	for	for	ADP
ejpam-5071	85	26	the	the	DET
ejpam-5071	85	27	nonlinear	nonlinear	ADJ
ejpam-5071	85	28	wsvie	wsvie	NOUN
ejpam-5071	85	29	,	,	PUNCT
ejpam-5071	85	30	leading	lead	VERB
ejpam-5071	85	31	to	to	ADP
ejpam-5071	85	32	a	a	DET
ejpam-5071	85	33	unique	unique	ADJ
ejpam-5071	85	34	solution	solution	NOUN
ejpam-5071	85	35	.	.	PUNCT
ejpam-5071	86	1	let	let	VERB
ejpam-5071	86	2	us	we	PRON
ejpam-5071	86	3	consider	consider	VERB
ejpam-5071	86	4	the	the	DET
ejpam-5071	86	5	general	general	ADJ
ejpam-5071	86	6	form	form	NOUN
ejpam-5071	86	7	of	of	ADP
ejpam-5071	86	8	the	the	DET
ejpam-5071	86	9	weakly	weakly	ADJ
ejpam-5071	86	10	singular	singular	PROPN
ejpam-5071	86	11	volterra	volterra	PROPN
ejpam-5071	86	12	integral	integral	ADJ
ejpam-5071	86	13	equation	equation	NOUN
ejpam-5071	86	14	in[10	in[10	PRON
ejpam-5071	86	15	]	]	PUNCT
ejpam-5071	86	16	u(x	u(x	PROPN
ejpam-5071	86	17	)	)	PUNCT
ejpam-5071	87	1	=	=	SYM
ejpam-5071	87	2	f(x	f(x	PROPN
ejpam-5071	87	3	)	)	PUNCT
ejpam-5071	88	1	+	+	CCONJ
ejpam-5071	88	2	∫	∫	PROPN
ejpam-5071	88	3	x	x	SYM
ejpam-5071	88	4	0	0	PROPN
ejpam-5071	88	5	tµ−1	tµ−1	VERB
ejpam-5071	88	6	xµ	xµ	PROPN
ejpam-5071	89	1	[	[	X
ejpam-5071	89	2	u(t)]βdt	u(t)]βdt	X
ejpam-5071	89	3	(	(	PUNCT
ejpam-5071	89	4	10	10	NUM
ejpam-5071	89	5	)	)	PUNCT
ejpam-5071	89	6	k.	k.	PROPN
ejpam-5071	90	1	f.	f.	PROPN
ejpam-5071	90	2	sarfo	sarfo	PROPN
ejpam-5071	90	3	et	et	PROPN
ejpam-5071	90	4	al	al	PROPN
ejpam-5071	90	5	.	.	PUNCT
ejpam-5071	90	6	/	/	SYM
ejpam-5071	90	7	eur	eur	PROPN
ejpam-5071	90	8	.	.	PUNCT
ejpam-5071	91	1	j.	j.	PROPN
ejpam-5071	91	2	pure	pure	PROPN
ejpam-5071	91	3	appl	appl	PROPN
ejpam-5071	91	4	.	.	PROPN
ejpam-5071	91	5	math	math	PROPN
ejpam-5071	91	6	,	,	PUNCT
ejpam-5071	91	7	17	17	NUM
ejpam-5071	91	8	(	(	PUNCT
ejpam-5071	91	9	2	2	NUM
ejpam-5071	91	10	)	)	PUNCT
ejpam-5071	91	11	(	(	PUNCT
ejpam-5071	91	12	2024	2024	NUM
ejpam-5071	91	13	)	)	PUNCT
ejpam-5071	91	14	,	,	PUNCT
ejpam-5071	91	15	1046	1046	NUM
ejpam-5071	91	16	-	-	SYM
ejpam-5071	91	17	1069	1069	NUM
ejpam-5071	91	18	1050	1050	NUM
ejpam-5071	91	19	where	where	SCONJ
ejpam-5071	91	20	u0(x	u0(x	ADP
ejpam-5071	91	21	)	)	PUNCT
ejpam-5071	91	22	=	=	SYM
ejpam-5071	91	23	f(x	f(x	PROPN
ejpam-5071	91	24	)	)	PUNCT
ejpam-5071	91	25	=	=	PUNCT
ejpam-5071	92	1	xk1	xk1	PROPN
ejpam-5071	92	2	−	−	PROPN
ejpam-5071	92	3	xγk1	xγk1	PROPN
ejpam-5071	92	4	µ+	µ+	X
ejpam-5071	92	5	γk1	γk1	NOUN
ejpam-5071	92	6	,	,	PUNCT
ejpam-5071	92	7	(	(	PUNCT
ejpam-5071	92	8	11	11	NUM
ejpam-5071	92	9	)	)	PUNCT
ejpam-5071	92	10	is	be	AUX
ejpam-5071	92	11	the	the	DET
ejpam-5071	92	12	force	force	NOUN
ejpam-5071	92	13	function	function	NOUN
ejpam-5071	92	14	formula	formula	NOUN
ejpam-5071	92	15	.	.	PUNCT
ejpam-5071	93	1	u1(x	u1(x	ADV
ejpam-5071	93	2	)	)	PUNCT
ejpam-5071	93	3	=	=	SYM
ejpam-5071	93	4	n	n	PRON
ejpam-5071	94	1	[	[	X
ejpam-5071	94	2	u0(t	u0(t	PROPN
ejpam-5071	94	3	)	)	PUNCT
ejpam-5071	94	4	]	]	PUNCT
ejpam-5071	95	1	=	=	PUNCT
ejpam-5071	95	2	∫	∫	PUNCT
ejpam-5071	95	3	x	x	SYM
ejpam-5071	95	4	0	0	PROPN
ejpam-5071	95	5	tµ−1	tµ−1	VERB
ejpam-5071	95	6	xµ	xµ	PROPN
ejpam-5071	96	1	[	[	PUNCT
ejpam-5071	96	2	tk1	tk1	NOUN
ejpam-5071	96	3	−	−	PROPN
ejpam-5071	96	4	tγk1	tγk1	ADV
ejpam-5071	96	5	µ+	µ+	X
ejpam-5071	96	6	γk1	γk1	NOUN
ejpam-5071	96	7	]	]	X
ejpam-5071	96	8	β	β	X
ejpam-5071	96	9	dt	dt	X
ejpam-5071	96	10	.	.	PUNCT
ejpam-5071	97	1	(	(	PUNCT
ejpam-5071	97	2	12	12	NUM
ejpam-5071	97	3	)	)	PUNCT
ejpam-5071	97	4	u2(x	u2(x	NUM
ejpam-5071	97	5	)	)	PUNCT
ejpam-5071	97	6	=	=	SYM
ejpam-5071	98	1	n	n	PRON
ejpam-5071	98	2	[	[	X
ejpam-5071	98	3	u0(x	u0(x	X
ejpam-5071	98	4	)	)	PUNCT
ejpam-5071	99	1	+	+	NOUN
ejpam-5071	99	2	u1(x)]−n	u1(x)]−n	ADJ
ejpam-5071	99	3	[	[	X
ejpam-5071	99	4	u0(x	u0(x	X
ejpam-5071	99	5	)	)	PUNCT
ejpam-5071	99	6	]	]	PUNCT
ejpam-5071	99	7	=	=	PUNCT
ejpam-5071	99	8	∫	∫	PUNCT
ejpam-5071	99	9	x	x	SYM
ejpam-5071	99	10	0	0	PROPN
ejpam-5071	99	11	tµ−1	tµ−1	VERB
ejpam-5071	99	12	xµ	xµ	PROPN
ejpam-5071	99	13	[	[	PUNCT
ejpam-5071	99	14	tk1	tk1	NOUN
ejpam-5071	99	15	−	−	PROPN
ejpam-5071	99	16	tγk1	tγk1	ADV
ejpam-5071	99	17	µ+	µ+	DET
ejpam-5071	99	18	γk1	γk1	NOUN
ejpam-5071	99	19	+	+	CCONJ
ejpam-5071	99	20	u1(t	u1(t	PROPN
ejpam-5071	99	21	)	)	PUNCT
ejpam-5071	99	22	]	]	PUNCT
ejpam-5071	99	23	β	β	X
ejpam-5071	99	24	dt−	dt−	X
ejpam-5071	99	25	u1	u1	NOUN
ejpam-5071	99	26	.	.	PUNCT
ejpam-5071	100	1	(	(	PUNCT
ejpam-5071	100	2	13	13	NUM
ejpam-5071	100	3	)	)	PUNCT
ejpam-5071	100	4	u3(x	u3(x	NOUN
ejpam-5071	100	5	)	)	PUNCT
ejpam-5071	100	6	=	=	SYM
ejpam-5071	101	1	n	n	PRON
ejpam-5071	101	2	[	[	X
ejpam-5071	101	3	u0(x	u0(x	X
ejpam-5071	101	4	)	)	PUNCT
ejpam-5071	101	5	+	+	PUNCT
ejpam-5071	101	6	u1(x	u1(x	ADV
ejpam-5071	101	7	)	)	PUNCT
ejpam-5071	102	1	+	+	NUM
ejpam-5071	102	2	u2(x)]−n	u2(x)]−n	NOUN
ejpam-5071	102	3	[	[	X
ejpam-5071	102	4	u0(x	u0(x	X
ejpam-5071	102	5	)	)	PUNCT
ejpam-5071	102	6	+	+	PUNCT
ejpam-5071	102	7	u1(x	u1(x	NOUN
ejpam-5071	102	8	)	)	PUNCT
ejpam-5071	102	9	]	]	PUNCT
ejpam-5071	103	1	=	=	PUNCT
ejpam-5071	103	2	∫	∫	PUNCT
ejpam-5071	103	3	x	x	SYM
ejpam-5071	103	4	0	0	PROPN
ejpam-5071	103	5	tµ−1	tµ−1	VERB
ejpam-5071	103	6	xµ	xµ	PROPN
ejpam-5071	104	1	[	[	PUNCT
ejpam-5071	104	2	tk1	tk1	NOUN
ejpam-5071	104	3	−	−	PROPN
ejpam-5071	104	4	tγk1	tγk1	ADV
ejpam-5071	104	5	µ+	µ+	DET
ejpam-5071	104	6	γk1	γk1	NOUN
ejpam-5071	104	7	+	+	CCONJ
ejpam-5071	104	8	(	(	PUNCT
ejpam-5071	104	9	u1	u1	NOUN
ejpam-5071	104	10	+	+	CCONJ
ejpam-5071	104	11	u2)(t	u2)(t	PROPN
ejpam-5071	104	12	)	)	PUNCT
ejpam-5071	104	13	]	]	PUNCT
ejpam-5071	104	14	β	β	X
ejpam-5071	104	15	dt−	dt−	NUM
ejpam-5071	104	16	∫	∫	PROPN
ejpam-5071	104	17	x	x	SYM
ejpam-5071	104	18	0	0	PROPN
ejpam-5071	104	19	tµ−1	tµ−1	VERB
ejpam-5071	104	20	xµ	xµ	PROPN
ejpam-5071	105	1	[	[	PUNCT
ejpam-5071	105	2	tk1	tk1	NOUN
ejpam-5071	105	3	−	−	PROPN
ejpam-5071	105	4	tγk1	tγk1	ADV
ejpam-5071	105	5	µ+	µ+	DET
ejpam-5071	105	6	γk1	γk1	NOUN
ejpam-5071	105	7	+	+	CCONJ
ejpam-5071	105	8	u1(t	u1(t	ADP
ejpam-5071	105	9	)	)	PUNCT
ejpam-5071	105	10	]	]	PUNCT
ejpam-5071	105	11	β	β	X
ejpam-5071	105	12	dt	dt	X
ejpam-5071	105	13	.	.	PUNCT
ejpam-5071	106	1	(	(	PUNCT
ejpam-5071	106	2	14	14	NUM
ejpam-5071	106	3	)	)	PUNCT
ejpam-5071	106	4	in	in	ADP
ejpam-5071	106	5	continuing	continue	VERB
ejpam-5071	106	6	from	from	ADP
ejpam-5071	106	7	equation(14	equation(14	PROPN
ejpam-5071	106	8	)	)	PUNCT
ejpam-5071	106	9	,	,	PUNCT
ejpam-5071	106	10	we	we	PRON
ejpam-5071	106	11	generate	generate	VERB
ejpam-5071	106	12	successive	successive	ADJ
ejpam-5071	106	13	solution	solution	NOUN
ejpam-5071	106	14	terms	term	NOUN
ejpam-5071	106	15	as	as	ADP
ejpam-5071	106	16	:	:	PUNCT
ejpam-5071	106	17	u0(x	u0(x	NUM
ejpam-5071	106	18	)	)	PUNCT
ejpam-5071	106	19	=	=	SYM
ejpam-5071	106	20	f(x	f(x	PROPN
ejpam-5071	106	21	)	)	PUNCT
ejpam-5071	106	22	,	,	PUNCT
ejpam-5071	106	23	u1(x	u1(x	NOUN
ejpam-5071	106	24	)	)	PUNCT
ejpam-5071	106	25	=	=	SYM
ejpam-5071	107	1	∫	∫	PROPN
ejpam-5071	107	2	x	x	SYM
ejpam-5071	107	3	0	0	PROPN
ejpam-5071	107	4	tµ−1	tµ−1	VERB
ejpam-5071	107	5	xµ	xµ	PROPN
ejpam-5071	108	1	[	[	PUNCT
ejpam-5071	108	2	tk1	tk1	NOUN
ejpam-5071	108	3	−	−	PROPN
ejpam-5071	108	4	tγk1	tγk1	ADV
ejpam-5071	108	5	µ+	µ+	X
ejpam-5071	108	6	γk1	γk1	NOUN
ejpam-5071	108	7	]	]	X
ejpam-5071	108	8	β	β	X
ejpam-5071	108	9	dt	dt	X
ejpam-5071	108	10	,	,	PUNCT
ejpam-5071	108	11	u2(x	u2(x	X
ejpam-5071	108	12	)	)	PUNCT
ejpam-5071	108	13	=	=	SYM
ejpam-5071	109	1	∫	∫	PROPN
ejpam-5071	109	2	x	x	SYM
ejpam-5071	109	3	0	0	PROPN
ejpam-5071	109	4	tµ−1	tµ−1	VERB
ejpam-5071	109	5	xµ	xµ	PROPN
ejpam-5071	110	1	[	[	PUNCT
ejpam-5071	110	2	tk1	tk1	NOUN
ejpam-5071	110	3	−	−	PROPN
ejpam-5071	110	4	tγk1	tγk1	ADV
ejpam-5071	110	5	µ+	µ+	DET
ejpam-5071	110	6	γk1	γk1	NOUN
ejpam-5071	110	7	+	+	CCONJ
ejpam-5071	110	8	u1(t	u1(t	PROPN
ejpam-5071	110	9	)	)	PUNCT
ejpam-5071	110	10	]	]	PUNCT
ejpam-5071	110	11	β	β	X
ejpam-5071	110	12	dt−	dt−	NUM
ejpam-5071	110	13	∫	∫	PROPN
ejpam-5071	110	14	x	x	SYM
ejpam-5071	110	15	0	0	PROPN
ejpam-5071	110	16	tµ−1	tµ−1	VERB
ejpam-5071	110	17	xµ	xµ	PROPN
ejpam-5071	111	1	[	[	PUNCT
ejpam-5071	111	2	tk1	tk1	NOUN
ejpam-5071	111	3	−	−	PROPN
ejpam-5071	111	4	tγk1	tγk1	ADV
ejpam-5071	111	5	µ+	µ+	X
ejpam-5071	111	6	γk1	γk1	NOUN
ejpam-5071	111	7	]	]	X
ejpam-5071	111	8	β	β	NOUN
ejpam-5071	111	9	dt	dt	X
ejpam-5071	111	10	u3(x	u3(x	PROPN
ejpam-5071	111	11	)	)	PUNCT
ejpam-5071	111	12	=	=	SYM
ejpam-5071	112	1	∫	∫	PROPN
ejpam-5071	112	2	x	x	SYM
ejpam-5071	112	3	0	0	PROPN
ejpam-5071	112	4	tµ−1	tµ−1	VERB
ejpam-5071	112	5	xµ	xµ	PROPN
ejpam-5071	113	1	[	[	PUNCT
ejpam-5071	113	2	tk1	tk1	NOUN
ejpam-5071	113	3	−	−	PROPN
ejpam-5071	113	4	tγk1	tγk1	ADV
ejpam-5071	113	5	µ+	µ+	DET
ejpam-5071	113	6	γk1	γk1	NOUN
ejpam-5071	113	7	+	+	CCONJ
ejpam-5071	113	8	(	(	PUNCT
ejpam-5071	113	9	u1	u1	NOUN
ejpam-5071	113	10	+	+	CCONJ
ejpam-5071	113	11	u2)t	u2)t	ADJ
ejpam-5071	113	12	]	]	X
ejpam-5071	113	13	β	β	X
ejpam-5071	113	14	dt−	dt−	NUM
ejpam-5071	113	15	∫	∫	PROPN
ejpam-5071	113	16	x	x	SYM
ejpam-5071	113	17	0	0	PROPN
ejpam-5071	113	18	tµ−1	tµ−1	VERB
ejpam-5071	113	19	xµ	xµ	PROPN
ejpam-5071	114	1	[	[	PUNCT
ejpam-5071	114	2	tk1	tk1	NOUN
ejpam-5071	114	3	−	−	PROPN
ejpam-5071	114	4	tγk1	tγk1	ADV
ejpam-5071	114	5	µ+	µ+	DET
ejpam-5071	114	6	γk1	γk1	NOUN
ejpam-5071	114	7	+	+	CCONJ
ejpam-5071	114	8	u1(t	u1(t	ADP
ejpam-5071	114	9	)	)	PUNCT
ejpam-5071	114	10	]	]	PUNCT
ejpam-5071	114	11	β	β	X
ejpam-5071	114	12	dt	dt	X
ejpam-5071	114	13	...	...	PUNCT
ejpam-5071	114	14	um(x	um(x	X
ejpam-5071	114	15	)	)	PUNCT
ejpam-5071	114	16	=	=	SYM
ejpam-5071	115	1	∫	∫	PUNCT
ejpam-5071	115	2	x	x	SYM
ejpam-5071	115	3	0	0	PROPN
ejpam-5071	115	4	tµ−1	tµ−1	VERB
ejpam-5071	115	5	xµ	xµ	PROPN
ejpam-5071	116	1	[	[	PUNCT
ejpam-5071	116	2	tk1	tk1	NOUN
ejpam-5071	116	3	−	−	PROPN
ejpam-5071	116	4	tγk1	tγk1	ADV
ejpam-5071	116	5	µ+	µ+	DET
ejpam-5071	116	6	γk1	γk1	NOUN
ejpam-5071	116	7	+	+	CCONJ
ejpam-5071	116	8	...	...	PUNCT
ejpam-5071	117	1	+	+	CCONJ
ejpam-5071	117	2	um−1(t	um−1(t	ADJ
ejpam-5071	117	3	)	)	PUNCT
ejpam-5071	117	4	]	]	PUNCT
ejpam-5071	117	5	β	β	X
ejpam-5071	117	6	dt−	dt−	NUM
ejpam-5071	117	7	∫	∫	PROPN
ejpam-5071	117	8	x	x	SYM
ejpam-5071	117	9	0	0	PROPN
ejpam-5071	117	10	tµ−1	tµ−1	VERB
ejpam-5071	117	11	xµ	xµ	PROPN
ejpam-5071	118	1	[	[	PUNCT
ejpam-5071	118	2	tk1	tk1	NOUN
ejpam-5071	118	3	−	−	PROPN
ejpam-5071	118	4	tγk1	tγk1	ADV
ejpam-5071	118	5	µ+	µ+	DET
ejpam-5071	118	6	γk1	γk1	NOUN
ejpam-5071	118	7	+	+	CCONJ
ejpam-5071	118	8	...	...	PUNCT
ejpam-5071	118	9	+	+	CCONJ
ejpam-5071	118	10	um−2(t	um−2(t	NOUN
ejpam-5071	118	11	)	)	PUNCT
ejpam-5071	118	12	]	]	PUNCT
ejpam-5071	118	13	β	β	X
ejpam-5071	118	14	dt	dt	PROPN
ejpam-5071	118	15	,	,	PUNCT
ejpam-5071	118	16	...	...	PUNCT
ejpam-5071	118	17	(	(	PUNCT
ejpam-5071	118	18	15	15	NUM
ejpam-5071	118	19	)	)	PUNCT
ejpam-5071	118	20	un(x	un(x	PUNCT
ejpam-5071	118	21	)	)	PUNCT
ejpam-5071	119	1	=	=	SYM
ejpam-5071	120	1	∫	∫	PUNCT
ejpam-5071	120	2	x	x	SYM
ejpam-5071	120	3	0	0	PROPN
ejpam-5071	120	4	tµ−1	tµ−1	VERB
ejpam-5071	120	5	xµ	xµ	PROPN
ejpam-5071	121	1	[	[	PUNCT
ejpam-5071	121	2	tk1	tk1	NOUN
ejpam-5071	121	3	−	−	PROPN
ejpam-5071	121	4	tγk1	tγk1	ADV
ejpam-5071	121	5	µ+	µ+	DET
ejpam-5071	121	6	γk1	γk1	NOUN
ejpam-5071	121	7	+	+	NUM
ejpam-5071	121	8	...	...	PUNCT
ejpam-5071	122	1	+	+	CCONJ
ejpam-5071	122	2	un−1(t	un−1(t	ADJ
ejpam-5071	122	3	)	)	PUNCT
ejpam-5071	122	4	]	]	PUNCT
ejpam-5071	122	5	β	β	X
ejpam-5071	122	6	dt−	dt−	NUM
ejpam-5071	122	7	∫	∫	PROPN
ejpam-5071	122	8	x	x	SYM
ejpam-5071	122	9	0	0	PROPN
ejpam-5071	122	10	tµ−1	tµ−1	VERB
ejpam-5071	122	11	xµ	xµ	PROPN
ejpam-5071	123	1	[	[	PUNCT
ejpam-5071	123	2	tk1	tk1	NOUN
ejpam-5071	123	3	−	−	PROPN
ejpam-5071	123	4	tγk1	tγk1	ADV
ejpam-5071	123	5	µ+	µ+	DET
ejpam-5071	123	6	γk1	γk1	NOUN
ejpam-5071	123	7	+	+	CCONJ
ejpam-5071	123	8	...	...	PUNCT
ejpam-5071	123	9	+	+	X
ejpam-5071	123	10	un−2(t	un−2(t	PROPN
ejpam-5071	123	11	)	)	PUNCT
ejpam-5071	123	12	]	]	PUNCT
ejpam-5071	123	13	β	β	X
ejpam-5071	123	14	dt	dt	PROPN
ejpam-5071	123	15	,	,	PUNCT
ejpam-5071	123	16	u(x	u(x	PROPN
ejpam-5071	123	17	)	)	PUNCT
ejpam-5071	123	18	=	=	PUNCT
ejpam-5071	124	1	xk1	xk1	PROPN
ejpam-5071	124	2	−	−	PROPN
ejpam-5071	124	3	xγk1	xγk1	PROPN
ejpam-5071	124	4	µ+	µ+	X
ejpam-5071	124	5	γk1	γk1	NOUN
ejpam-5071	125	1	+	+	CCONJ
ejpam-5071	125	2	n∑	n∑	PROPN
ejpam-5071	125	3	m=1	m=1	X
ejpam-5071	125	4	um	um	INTJ
ejpam-5071	125	5	.	.	PUNCT
ejpam-5071	126	1	(	(	PUNCT
ejpam-5071	126	2	16	16	NUM
ejpam-5071	126	3	)	)	PUNCT
ejpam-5071	126	4	which	which	PRON
ejpam-5071	126	5	reduces	reduce	VERB
ejpam-5071	126	6	to	to	ADP
ejpam-5071	126	7	a	a	DET
ejpam-5071	126	8	unique	unique	ADJ
ejpam-5071	126	9	solution	solution	NOUN
ejpam-5071	126	10	,	,	PUNCT
ejpam-5071	126	11	u(x	u(x	NOUN
ejpam-5071	126	12	)	)	PUNCT
ejpam-5071	126	13	=	=	SYM
ejpam-5071	126	14	xk1	xk1	PROPN
ejpam-5071	126	15	,	,	PUNCT
ejpam-5071	126	16	for	for	ADP
ejpam-5071	126	17	every	every	DET
ejpam-5071	126	18	integer	integer	NOUN
ejpam-5071	126	19	value	value	NOUN
ejpam-5071	126	20	γ	γ	X
ejpam-5071	126	21	=	=	SYM
ejpam-5071	126	22	β	β	X
ejpam-5071	126	23	,	,	PUNCT
ejpam-5071	126	24	(	(	PUNCT
ejpam-5071	126	25	β	β	X
ejpam-5071	126	26	≥	≥	NUM
ejpam-5071	126	27	2	2	NUM
ejpam-5071	126	28	)	)	PUNCT
ejpam-5071	126	29	,	,	PUNCT
ejpam-5071	126	30	positive	positive	ADJ
ejpam-5071	126	31	rational	rational	ADJ
ejpam-5071	126	32	values	value	NOUN
ejpam-5071	126	33	of	of	ADP
ejpam-5071	126	34	k1	k1	NOUN
ejpam-5071	126	35	and	and	CCONJ
ejpam-5071	126	36	µ	µ	X
ejpam-5071	126	37	>	>	X
ejpam-5071	126	38	0	0	NUM
ejpam-5071	126	39	,	,	PUNCT
ejpam-5071	126	40	and	and	CCONJ
ejpam-5071	126	41	un	un	PROPN
ejpam-5071	126	42	is	be	AUX
ejpam-5071	126	43	a	a	DET
ejpam-5071	126	44	finite	finite	ADJ
ejpam-5071	126	45	solution	solution	NOUN
ejpam-5071	126	46	term	term	NOUN
ejpam-5071	126	47	and	and	CCONJ
ejpam-5071	126	48	is	be	AUX
ejpam-5071	126	49	related	relate	VERB
ejpam-5071	126	50	to	to	ADP
ejpam-5071	126	51	the	the	DET
ejpam-5071	126	52	truncation	truncation	NOUN
ejpam-5071	126	53	point	point	NOUN
ejpam-5071	126	54	by	by	ADP
ejpam-5071	126	55	the	the	DET
ejpam-5071	126	56	relation	relation	NOUN
ejpam-5071	126	57	un	un	PROPN
ejpam-5071	126	58	=	=	PROPN
ejpam-5071	126	59	anx	anx	PROPN
ejpam-5071	126	60	g(n	g(n	PROPN
ejpam-5071	126	61	)	)	PUNCT
ejpam-5071	126	62	.	.	PUNCT
ejpam-5071	127	1	k.	k.	PROPN
ejpam-5071	127	2	f.	f.	PROPN
ejpam-5071	127	3	sarfo	sarfo	PROPN
ejpam-5071	127	4	et	et	PROPN
ejpam-5071	127	5	al	al	PROPN
ejpam-5071	127	6	.	.	PUNCT
ejpam-5071	127	7	/	/	SYM
ejpam-5071	127	8	eur	eur	PROPN
ejpam-5071	127	9	.	.	PUNCT
ejpam-5071	128	1	j.	j.	PROPN
ejpam-5071	128	2	pure	pure	PROPN
ejpam-5071	128	3	appl	appl	PROPN
ejpam-5071	128	4	.	.	PROPN
ejpam-5071	128	5	math	math	PROPN
ejpam-5071	128	6	,	,	PUNCT
ejpam-5071	128	7	17	17	NUM
ejpam-5071	128	8	(	(	PUNCT
ejpam-5071	128	9	2	2	NUM
ejpam-5071	128	10	)	)	PUNCT
ejpam-5071	128	11	(	(	PUNCT
ejpam-5071	128	12	2024	2024	NUM
ejpam-5071	128	13	)	)	PUNCT
ejpam-5071	128	14	,	,	PUNCT
ejpam-5071	128	15	1046	1046	NUM
ejpam-5071	128	16	-	-	SYM
ejpam-5071	128	17	1069	1069	NUM
ejpam-5071	128	18	1051	1051	NUM
ejpam-5071	128	19	thus	thus	ADV
ejpam-5071	128	20	,	,	PUNCT
ejpam-5071	128	21	the	the	DET
ejpam-5071	128	22	force	force	NOUN
ejpam-5071	128	23	function	function	NOUN
ejpam-5071	128	24	formula	formula	NOUN
ejpam-5071	128	25	,	,	PUNCT
ejpam-5071	128	26	f(x	f(x	PROPN
ejpam-5071	128	27	)	)	PUNCT
ejpam-5071	128	28	=	=	PUNCT
ejpam-5071	129	1	xk1	xk1	PROPN
ejpam-5071	129	2	−	−	PROPN
ejpam-5071	129	3	xγk1	xγk1	PROPN
ejpam-5071	129	4	µ+γk1	µ+γk1	NOUN
ejpam-5071	129	5	,	,	PUNCT
ejpam-5071	129	6	generates	generate	VERB
ejpam-5071	129	7	noise	noise	NOUN
ejpam-5071	129	8	term	term	NOUN
ejpam-5071	129	9	cancellation	cancellation	NOUN
ejpam-5071	129	10	to	to	PART
ejpam-5071	129	11	obtain	obtain	VERB
ejpam-5071	129	12	a	a	DET
ejpam-5071	129	13	unique	unique	ADJ
ejpam-5071	129	14	solution	solution	NOUN
ejpam-5071	129	15	when	when	SCONJ
ejpam-5071	129	16	the	the	DET
ejpam-5071	129	17	truncation	truncation	NOUN
ejpam-5071	129	18	point	point	NOUN
ejpam-5071	129	19	is	be	AUX
ejpam-5071	129	20	introduced	introduce	VERB
ejpam-5071	129	21	.	.	PUNCT
ejpam-5071	130	1	the	the	DET
ejpam-5071	130	2	relation	relation	NOUN
ejpam-5071	130	3	between	between	ADP
ejpam-5071	130	4	the	the	DET
ejpam-5071	130	5	truncation	truncation	NOUN
ejpam-5071	130	6	point	point	NOUN
ejpam-5071	130	7	xg(n	xg(n	NUM
ejpam-5071	130	8	)	)	PUNCT
ejpam-5071	130	9	and	and	CCONJ
ejpam-5071	130	10	un	un	PROPN
ejpam-5071	130	11	is	be	AUX
ejpam-5071	130	12	given	give	VERB
ejpam-5071	130	13	by	by	ADP
ejpam-5071	130	14	:	:	PUNCT
ejpam-5071	130	15	un(x	un(x	NUM
ejpam-5071	130	16	)	)	PUNCT
ejpam-5071	130	17	=	=	SYM
ejpam-5071	130	18	anx	anx	ADJ
ejpam-5071	131	1	[	[	X
ejpam-5071	131	2	n(γ−1)+1]k1	n(γ−1)+1]k1	X
ejpam-5071	131	3	,	,	PUNCT
ejpam-5071	131	4	n	n	X
ejpam-5071	131	5	≥	≥	NOUN
ejpam-5071	131	6	2	2	NUM
ejpam-5071	131	7	,	,	PUNCT
ejpam-5071	131	8	(	(	PUNCT
ejpam-5071	131	9	17	17	NUM
ejpam-5071	131	10	)	)	PUNCT
ejpam-5071	131	11	where	where	SCONJ
ejpam-5071	131	12	,	,	PUNCT
ejpam-5071	131	13	an	an	DET
ejpam-5071	131	14	=	=	X
ejpam-5071	131	15	βn−1	βn−1	ADJ
ejpam-5071	131	16	(	(	PUNCT
ejpam-5071	131	17	γk1	γk1	NOUN
ejpam-5071	131	18	+	+	CCONJ
ejpam-5071	131	19	µ	µ	X
ejpam-5071	131	20	)	)	PUNCT
ejpam-5071	131	21	∏n	∏n	ADJ
ejpam-5071	131	22	m=2	m=2	PROPN
ejpam-5071	131	23	[	[	PUNCT
ejpam-5071	131	24	[	[	X
ejpam-5071	131	25	m(γ	m(γ	NOUN
ejpam-5071	131	26	−	−	NOUN
ejpam-5071	131	27	1	1	NUM
ejpam-5071	131	28	)	)	PUNCT
ejpam-5071	131	29	+	+	CCONJ
ejpam-5071	131	30	1]k1	1]k1	NUM
ejpam-5071	131	31	+	+	NUM
ejpam-5071	131	32	µ	µ	X
ejpam-5071	131	33	]	]	PUNCT
ejpam-5071	131	34	.	.	PUNCT
ejpam-5071	132	1	(	(	PUNCT
ejpam-5071	132	2	18	18	NUM
ejpam-5071	132	3	)	)	PUNCT
ejpam-5071	132	4	for	for	ADP
ejpam-5071	132	5	example	example	NOUN
ejpam-5071	132	6	,	,	PUNCT
ejpam-5071	132	7	when	when	SCONJ
ejpam-5071	132	8	β	β	X
ejpam-5071	132	9	=	=	SYM
ejpam-5071	132	10	γ	γ	X
ejpam-5071	132	11	=	=	SYM
ejpam-5071	132	12	2	2	NUM
ejpam-5071	132	13	,	,	PUNCT
ejpam-5071	132	14	k1	k1	NOUN
ejpam-5071	132	15	=	=	SYM
ejpam-5071	132	16	3	3	NUM
ejpam-5071	132	17	,	,	PUNCT
ejpam-5071	132	18	and	and	CCONJ
ejpam-5071	132	19	µ	µ	X
ejpam-5071	132	20	=	=	SYM
ejpam-5071	132	21	3	3	NUM
ejpam-5071	132	22	2	2	NUM
ejpam-5071	132	23	,	,	PUNCT
ejpam-5071	132	24	if	if	SCONJ
ejpam-5071	132	25	n	n	NOUN
ejpam-5071	132	26	=	=	SYM
ejpam-5071	132	27	2	2	NUM
ejpam-5071	132	28	,	,	PUNCT
ejpam-5071	132	29	then	then	ADV
ejpam-5071	132	30	the	the	DET
ejpam-5071	132	31	final	final	ADJ
ejpam-5071	132	32	series	series	NOUN
ejpam-5071	132	33	solution	solution	NOUN
ejpam-5071	132	34	term	term	NOUN
ejpam-5071	132	35	is	be	AUX
ejpam-5071	132	36	u2(x	u2(x	PRON
ejpam-5071	132	37	)	)	PUNCT
ejpam-5071	132	38	=	=	SYM
ejpam-5071	132	39	8	8	NUM
ejpam-5071	132	40	315x	315x	NUM
ejpam-5071	132	41	9	9	NUM
ejpam-5071	132	42	.	.	PUNCT
ejpam-5071	133	1	if	if	SCONJ
ejpam-5071	133	2	n	n	NOUN
ejpam-5071	133	3	=	=	SYM
ejpam-5071	133	4	3	3	NUM
ejpam-5071	133	5	,	,	PUNCT
ejpam-5071	133	6	then	then	ADV
ejpam-5071	133	7	the	the	DET
ejpam-5071	133	8	final	final	ADJ
ejpam-5071	133	9	series	series	NOUN
ejpam-5071	133	10	solution	solution	NOUN
ejpam-5071	133	11	term	term	NOUN
ejpam-5071	133	12	is	be	AUX
ejpam-5071	133	13	u3(x	u3(x	PROPN
ejpam-5071	133	14	)	)	PUNCT
ejpam-5071	133	15	=	=	NOUN
ejpam-5071	133	16	16	16	NUM
ejpam-5071	133	17	8505x	8505x	NUM
ejpam-5071	133	18	12	12	NUM
ejpam-5071	133	19	,	,	PUNCT
ejpam-5071	133	20	and	and	CCONJ
ejpam-5071	133	21	so	so	ADV
ejpam-5071	133	22	on	on	ADV
ejpam-5071	133	23	.	.	PUNCT
ejpam-5071	134	1	equation	equation	NOUN
ejpam-5071	134	2	(	(	PUNCT
ejpam-5071	134	3	17	17	NUM
ejpam-5071	134	4	)	)	PUNCT
ejpam-5071	134	5	was	be	AUX
ejpam-5071	134	6	discovered	discover	VERB
ejpam-5071	134	7	through	through	ADP
ejpam-5071	134	8	the	the	DET
ejpam-5071	134	9	solution	solution	NOUN
ejpam-5071	134	10	process	process	NOUN
ejpam-5071	134	11	.	.	PUNCT
ejpam-5071	135	1	2.2	2.2	NUM
ejpam-5071	135	2	.	.	PUNCT
ejpam-5071	135	3	solution	solution	NOUN
ejpam-5071	135	4	models	model	NOUN
ejpam-5071	135	5	for	for	ADP
ejpam-5071	135	6	the	the	DET
ejpam-5071	135	7	nonlinear	nonlinear	ADJ
ejpam-5071	135	8	wsvie	wsvie	NOUN
ejpam-5071	135	9	based	base	VERB
ejpam-5071	135	10	on	on	ADP
ejpam-5071	135	11	the	the	DET
ejpam-5071	135	12	solution	solution	NOUN
ejpam-5071	135	13	series	series	NOUN
ejpam-5071	135	14	of	of	ADP
ejpam-5071	135	15	equation	equation	NOUN
ejpam-5071	135	16	(	(	PUNCT
ejpam-5071	135	17	15	15	NUM
ejpam-5071	135	18	)	)	PUNCT
ejpam-5071	135	19	in	in	ADP
ejpam-5071	135	20	section	section	NOUN
ejpam-5071	135	21	(	(	PUNCT
ejpam-5071	135	22	2.1	2.1	NUM
ejpam-5071	135	23	)	)	PUNCT
ejpam-5071	135	24	and	and	CCONJ
ejpam-5071	135	25	the	the	DET
ejpam-5071	135	26	subsequent	subsequent	ADJ
ejpam-5071	135	27	truncation	truncation	NOUN
ejpam-5071	135	28	point	point	NOUN
ejpam-5071	135	29	formula	formula	NOUN
ejpam-5071	135	30	in	in	ADP
ejpam-5071	135	31	equations	equation	NOUN
ejpam-5071	135	32	(	(	PUNCT
ejpam-5071	135	33	17	17	NUM
ejpam-5071	135	34	)	)	PUNCT
ejpam-5071	135	35	and	and	CCONJ
ejpam-5071	135	36	(	(	PUNCT
ejpam-5071	135	37	18	18	NUM
ejpam-5071	135	38	)	)	PUNCT
ejpam-5071	135	39	,	,	PUNCT
ejpam-5071	135	40	we	we	PRON
ejpam-5071	135	41	provide	provide	VERB
ejpam-5071	135	42	explicit	explicit	ADJ
ejpam-5071	135	43	algebraic	algebraic	ADJ
ejpam-5071	135	44	solutions	solution	NOUN
ejpam-5071	135	45	for	for	ADP
ejpam-5071	135	46	the	the	DET
ejpam-5071	135	47	nonlinear	nonlinear	ADJ
ejpam-5071	135	48	wsvie	wsvie	NOUN
ejpam-5071	135	49	for	for	ADP
ejpam-5071	135	50	values	value	NOUN
ejpam-5071	135	51	of	of	ADP
ejpam-5071	135	52	β	β	X
ejpam-5071	135	53	=	=	SYM
ejpam-5071	135	54	2	2	NUM
ejpam-5071	135	55	,	,	PUNCT
ejpam-5071	135	56	3	3	NUM
ejpam-5071	135	57	,	,	PUNCT
ejpam-5071	135	58	4	4	NUM
ejpam-5071	135	59	,	,	PUNCT
ejpam-5071	135	60	and	and	CCONJ
ejpam-5071	135	61	5	5	NUM
ejpam-5071	135	62	and	and	CCONJ
ejpam-5071	135	63	show	show	VERB
ejpam-5071	135	64	that	that	SCONJ
ejpam-5071	135	65	for	for	ADP
ejpam-5071	135	66	each	each	DET
ejpam-5071	135	67	case	case	NOUN
ejpam-5071	135	68	we	we	PRON
ejpam-5071	135	69	obtain	obtain	VERB
ejpam-5071	135	70	the	the	DET
ejpam-5071	135	71	unique	unique	ADJ
ejpam-5071	135	72	solution	solution	NOUN
ejpam-5071	135	73	for	for	ADP
ejpam-5071	135	74	our	our	PRON
ejpam-5071	135	75	force	force	NOUN
ejpam-5071	135	76	function	function	NOUN
ejpam-5071	135	77	.	.	PUNCT
ejpam-5071	136	1	2.2.1	2.2.1	NUM
ejpam-5071	136	2	.	.	PUNCT
ejpam-5071	136	3	solution	solution	NOUN
ejpam-5071	136	4	model	model	NOUN
ejpam-5071	136	5	for	for	ADP
ejpam-5071	136	6	2nd	2nd	ADJ
ejpam-5071	136	7	-order	-order	PROPN
ejpam-5071	136	8	nonlinear	nonlinear	ADJ
ejpam-5071	136	9	wsvie	wsvie	NOUN
ejpam-5071	136	10	(	(	PUNCT
ejpam-5071	136	11	γ	γ	X
ejpam-5071	136	12	=	=	SYM
ejpam-5071	136	13	β	β	X
ejpam-5071	136	14	=	=	SYM
ejpam-5071	136	15	2	2	X
ejpam-5071	136	16	)	)	PUNCT
ejpam-5071	136	17	consider	consider	VERB
ejpam-5071	136	18	the	the	DET
ejpam-5071	136	19	2nd	2nd	ADJ
ejpam-5071	136	20	order	order	NOUN
ejpam-5071	136	21	wsvie	wsvie	NOUN
ejpam-5071	136	22	given	give	VERB
ejpam-5071	136	23	by	by	ADP
ejpam-5071	136	24	:	:	PUNCT
ejpam-5071	136	25	u(x	u(x	PROPN
ejpam-5071	136	26	)	)	PUNCT
ejpam-5071	136	27	=	=	SYM
ejpam-5071	136	28	a1(x	a1(x	NOUN
ejpam-5071	136	29	)	)	PUNCT
ejpam-5071	136	30	k1	k1	NOUN
ejpam-5071	136	31	−	−	PROPN
ejpam-5071	136	32	a2(x	a2(x	PROPN
ejpam-5071	136	33	)	)	PUNCT
ejpam-5071	136	34	γk1	γk1	NOUN
ejpam-5071	137	1	+	+	CCONJ
ejpam-5071	137	2	∫	∫	PROPN
ejpam-5071	137	3	x	x	SYM
ejpam-5071	137	4	0	0	PROPN
ejpam-5071	137	5	tµ−1	tµ−1	NOUN
ejpam-5071	137	6	xµ	xµ	X
ejpam-5071	137	7	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	137	8	,	,	PUNCT
ejpam-5071	137	9	γ	γ	X
ejpam-5071	137	10	=	=	SYM
ejpam-5071	137	11	β	β	X
ejpam-5071	137	12	=	=	SYM
ejpam-5071	137	13	2	2	NUM
ejpam-5071	137	14	,	,	PUNCT
ejpam-5071	137	15	µ	µ	X
ejpam-5071	137	16	>	>	SYM
ejpam-5071	137	17	0	0	PUNCT
ejpam-5071	138	1	and	and	CCONJ
ejpam-5071	138	2	k1	k1	PROPN
ejpam-5071	138	3	∈	∈	PROPN
ejpam-5071	138	4	q+	q+	PUNCT
ejpam-5071	138	5	truncation	truncation	NOUN
ejpam-5071	138	6	point	point	NOUN
ejpam-5071	138	7	is	be	AUX
ejpam-5071	138	8	given	give	VERB
ejpam-5071	138	9	by	by	ADP
ejpam-5071	138	10	un(x	un(x	NOUN
ejpam-5071	138	11	)	)	PUNCT
ejpam-5071	138	12	=	=	SYM
ejpam-5071	139	1	anx	anx	ADJ
ejpam-5071	140	1	[	[	X
ejpam-5071	140	2	n(γ−1)+1]k1	n(γ−1)+1]k1	X
ejpam-5071	140	3	,	,	PUNCT
ejpam-5071	140	4	n	n	X
ejpam-5071	140	5	≥	≥	NOUN
ejpam-5071	140	6	2	2	NUM
ejpam-5071	140	7	u0(x	u0(x	NUM
ejpam-5071	140	8	)	)	PUNCT
ejpam-5071	140	9	=	=	SYM
ejpam-5071	140	10	f(x	f(x	PROPN
ejpam-5071	140	11	)	)	PUNCT
ejpam-5071	140	12	=	=	PUNCT
ejpam-5071	141	1	a1(x	a1(x	NOUN
ejpam-5071	141	2	)	)	PUNCT
ejpam-5071	141	3	k1	k1	NOUN
ejpam-5071	141	4	−	−	PROPN
ejpam-5071	141	5	a2(x	a2(x	PROPN
ejpam-5071	141	6	)	)	PUNCT
ejpam-5071	141	7	γk1	γk1	NOUN
ejpam-5071	141	8	=	=	SYM
ejpam-5071	141	9	xk1	xk1	PROPN
ejpam-5071	141	10	−	−	PROPN
ejpam-5071	141	11	xγk1	xγk1	PROPN
ejpam-5071	141	12	µ+	µ+	X
ejpam-5071	141	13	γk1	γk1	NOUN
ejpam-5071	141	14	where	where	SCONJ
ejpam-5071	141	15	a1	a1	NOUN
ejpam-5071	141	16	=	=	SYM
ejpam-5071	141	17	µ−	µ−	PROPN
ejpam-5071	141	18	(	(	PUNCT
ejpam-5071	141	19	µ−	µ−	NOUN
ejpam-5071	141	20	1	1	NUM
ejpam-5071	141	21	)	)	PUNCT
ejpam-5071	141	22	=	=	SYM
ejpam-5071	141	23	1	1	NUM
ejpam-5071	141	24	,	,	PUNCT
ejpam-5071	141	25	a2	a2	PROPN
ejpam-5071	141	26	=	=	SYM
ejpam-5071	141	27	1	1	NUM
ejpam-5071	141	28	µ+	µ+	PRON
ejpam-5071	141	29	γk1	γk1	ADJ
ejpam-5071	141	30	u1	u1	NOUN
ejpam-5071	141	31	=	=	SYM
ejpam-5071	141	32	∫	∫	PROPN
ejpam-5071	141	33	x	x	SYM
ejpam-5071	141	34	0	0	PROPN
ejpam-5071	141	35	tµ−1	tµ−1	VERB
ejpam-5071	141	36	xµ	xµ	PROPN
ejpam-5071	141	37	(	(	PUNCT
ejpam-5071	141	38	u0)(t	u0)(t	ADJ
ejpam-5071	141	39	)	)	PUNCT
ejpam-5071	141	40	βdt	βdt	NOUN
ejpam-5071	141	41	=	=	PUNCT
ejpam-5071	142	1	xβk1	xβk1	PROPN
ejpam-5071	142	2	βk1	βk1	PROPN
ejpam-5071	142	3	+	+	CCONJ
ejpam-5071	142	4	µ	µ	PROPN
ejpam-5071	142	5	−	−	NOUN
ejpam-5071	142	6	βa2	βa2	DET
ejpam-5071	142	7	xk1+γk1	xk1+γk1	PROPN
ejpam-5071	142	8	k1	k1	NOUN
ejpam-5071	142	9	+	+	CCONJ
ejpam-5071	142	10	γk1	γk1	NOUN
ejpam-5071	142	11	+	+	CCONJ
ejpam-5071	142	12	µ	µ	X
ejpam-5071	142	13	+	+	CCONJ
ejpam-5071	142	14	aβ2	aβ2	ADV
ejpam-5071	142	15	xβγk1	xβγk1	NOUN
ejpam-5071	142	16	βγk1	βγk1	PROPN
ejpam-5071	143	1	+	+	CCONJ
ejpam-5071	143	2	µ	µ	PRON
ejpam-5071	143	3	u2	u2	NOUN
ejpam-5071	143	4	=	=	SYM
ejpam-5071	143	5	∫	∫	PROPN
ejpam-5071	143	6	x	x	SYM
ejpam-5071	143	7	0	0	PROPN
ejpam-5071	143	8	tµ−1	tµ−1	VERB
ejpam-5071	143	9	xµ	xµ	PROPN
ejpam-5071	143	10	(	(	PUNCT
ejpam-5071	143	11	u0	u0	PROPN
ejpam-5071	143	12	+	+	X
ejpam-5071	143	13	u1)(t	u1)(t	ADJ
ejpam-5071	143	14	)	)	PUNCT
ejpam-5071	143	15	βdt−	βdt−	NUM
ejpam-5071	143	16	u1	u1	NOUN
ejpam-5071	143	17	k.	k.	PROPN
ejpam-5071	143	18	f.	f.	PROPN
ejpam-5071	143	19	sarfo	sarfo	PROPN
ejpam-5071	143	20	et	et	PROPN
ejpam-5071	143	21	al	al	PROPN
ejpam-5071	143	22	.	.	PUNCT
ejpam-5071	143	23	/	/	SYM
ejpam-5071	143	24	eur	eur	PROPN
ejpam-5071	143	25	.	.	PUNCT
ejpam-5071	144	1	j.	j.	PROPN
ejpam-5071	144	2	pure	pure	PROPN
ejpam-5071	144	3	appl	appl	PROPN
ejpam-5071	144	4	.	.	PROPN
ejpam-5071	144	5	math	math	PROPN
ejpam-5071	144	6	,	,	PUNCT
ejpam-5071	144	7	17	17	NUM
ejpam-5071	144	8	(	(	PUNCT
ejpam-5071	144	9	2	2	NUM
ejpam-5071	144	10	)	)	PUNCT
ejpam-5071	144	11	(	(	PUNCT
ejpam-5071	144	12	2024	2024	NUM
ejpam-5071	144	13	)	)	PUNCT
ejpam-5071	144	14	,	,	PUNCT
ejpam-5071	144	15	1046	1046	NUM
ejpam-5071	144	16	-	-	SYM
ejpam-5071	144	17	1069	1069	NUM
ejpam-5071	144	18	1052	1052	NUM
ejpam-5071	144	19	=	=	SYM
ejpam-5071	145	1	βa2	βa2	X
ejpam-5071	145	2	xk1+γk1	xk1+γk1	X
ejpam-5071	145	3	(	(	PUNCT
ejpam-5071	145	4	k1	k1	NOUN
ejpam-5071	145	5	+	+	CCONJ
ejpam-5071	145	6	γk1	γk1	NOUN
ejpam-5071	145	7	+	+	CCONJ
ejpam-5071	145	8	µ	µ	X
ejpam-5071	145	9	)	)	PUNCT
ejpam-5071	145	10	−	−	NOUN
ejpam-5071	145	11	aβ2	aβ2	ADV
ejpam-5071	145	12	xβγk1	xβγk1	ADV
ejpam-5071	145	13	βγk1	βγk1	PROPN
ejpam-5071	146	1	+	+	CCONJ
ejpam-5071	146	2	µ	µ	X
ejpam-5071	146	3	−	−	NOUN
ejpam-5071	146	4	2βa2	2βa2	NUM
ejpam-5071	146	5	x2k1+γk1	x2k1+γk1	NOUN
ejpam-5071	146	6	(	(	PUNCT
ejpam-5071	146	7	k1	k1	NOUN
ejpam-5071	146	8	+	+	CCONJ
ejpam-5071	146	9	γk1	γk1	NOUN
ejpam-5071	146	10	+	+	CCONJ
ejpam-5071	146	11	µ)(2k1	µ)(2k1	ADP
ejpam-5071	146	12	+	+	ADJ
ejpam-5071	146	13	γk1	γk1	X
ejpam-5071	146	14	+	+	CCONJ
ejpam-5071	146	15	µ	µ	X
ejpam-5071	146	16	)	)	PUNCT
ejpam-5071	146	17	+2aβ2	+2aβ2	NOUN
ejpam-5071	146	18	xk1+βγk1	xk1+βγk1	PUNCT
ejpam-5071	146	19	(	(	PUNCT
ejpam-5071	146	20	βγk1	βγk1	ADJ
ejpam-5071	146	21	+	+	NUM
ejpam-5071	146	22	µ)(k1	µ)(k1	SYM
ejpam-5071	146	23	+	+	NUM
ejpam-5071	146	24	βγk1	βγk1	ADJ
ejpam-5071	146	25	+	+	X
ejpam-5071	146	26	µ	µ	X
ejpam-5071	146	27	)	)	PUNCT
ejpam-5071	146	28	+	+	NUM
ejpam-5071	146	29	β2a22	β2a22	PUNCT
ejpam-5071	146	30	x2k1	x2k1	ADP
ejpam-5071	146	31	+	+	NOUN
ejpam-5071	146	32	2γk1	2γk1	NUM
ejpam-5071	146	33	(	(	PUNCT
ejpam-5071	146	34	k1	k1	NOUN
ejpam-5071	146	35	+	+	CCONJ
ejpam-5071	146	36	γk1	γk1	NOUN
ejpam-5071	146	37	+	+	CCONJ
ejpam-5071	146	38	µ)2(2k1	µ)2(2k1	NOUN
ejpam-5071	146	39	+	+	CCONJ
ejpam-5071	146	40	2γk1	2γk1	NUM
ejpam-5071	146	41	+	+	SYM
ejpam-5071	146	42	µ	µ	X
ejpam-5071	146	43	)	)	PUNCT
ejpam-5071	146	44	−2βaβ+1	−2βaβ+1	ADJ
ejpam-5071	146	45	2	2	NUM
ejpam-5071	146	46	xk1	xk1	NOUN
ejpam-5071	146	47	+	+	NOUN
ejpam-5071	146	48	3γk1	3γk1	NUM
ejpam-5071	146	49	(	(	PUNCT
ejpam-5071	146	50	(	(	PUNCT
ejpam-5071	146	51	k1	k1	X
ejpam-5071	146	52	+	+	X
ejpam-5071	146	53	γk1	γk1	NOUN
ejpam-5071	146	54	+	+	CCONJ
ejpam-5071	146	55	µ)(βγk1	µ)(βγk1	ADJ
ejpam-5071	146	56	+	+	X
ejpam-5071	146	57	µ)(k1	µ)(k1	SYM
ejpam-5071	146	58	+	+	SYM
ejpam-5071	146	59	3γk1	3γk1	NUM
ejpam-5071	146	60	+	+	ADJ
ejpam-5071	146	61	µ	µ	X
ejpam-5071	146	62	)	)	PUNCT
ejpam-5071	147	1	+	+	CCONJ
ejpam-5071	147	2	...	...	PUNCT
ejpam-5071	147	3	u3(x	u3(x	X
ejpam-5071	147	4	)	)	PUNCT
ejpam-5071	147	5	=	=	SYM
ejpam-5071	148	1	∫	∫	PROPN
ejpam-5071	148	2	x	x	SYM
ejpam-5071	148	3	0	0	PROPN
ejpam-5071	149	1	tµ−1	tµ−1	VERB
ejpam-5071	149	2	xµ	xµ	PROPN
ejpam-5071	149	3	(	(	PUNCT
ejpam-5071	149	4	u0	u0	ADJ
ejpam-5071	149	5	+	+	NUM
ejpam-5071	149	6	u1	u1	NOUN
ejpam-5071	149	7	+	+	CCONJ
ejpam-5071	149	8	u2)(t	u2)(t	PROPN
ejpam-5071	149	9	)	)	PUNCT
ejpam-5071	149	10	βdt−	βdt−	NUM
ejpam-5071	149	11	2∑	2∑	NUM
ejpam-5071	149	12	i=0	i=0	PROPN
ejpam-5071	149	13	ui	ui	NOUN
ejpam-5071	149	14	=	=	PUNCT
ejpam-5071	149	15	2βa2	2βa2	X
ejpam-5071	149	16	x2k1+γk1	x2k1+γk1	NOUN
ejpam-5071	149	17	(	(	PUNCT
ejpam-5071	149	18	k1	k1	NOUN
ejpam-5071	149	19	+	+	CCONJ
ejpam-5071	149	20	γk1	γk1	NOUN
ejpam-5071	149	21	+	+	CCONJ
ejpam-5071	149	22	µ)(2k1	µ)(2k1	ADP
ejpam-5071	149	23	+	+	ADJ
ejpam-5071	149	24	γk1	γk1	X
ejpam-5071	149	25	+	+	CCONJ
ejpam-5071	149	26	µ	µ	X
ejpam-5071	149	27	)	)	PUNCT
ejpam-5071	149	28	−	−	PROPN
ejpam-5071	149	29	2aβ2	2aβ2	NUM
ejpam-5071	149	30	xk1+βγk1	xk1+βγk1	PUNCT
ejpam-5071	149	31	(	(	PUNCT
ejpam-5071	149	32	βγk1	βγk1	PROPN
ejpam-5071	149	33	+	+	NUM
ejpam-5071	149	34	µ)(k1	µ)(k1	SYM
ejpam-5071	149	35	+	+	NUM
ejpam-5071	149	36	βγk1	βγk1	ADJ
ejpam-5071	149	37	+	+	CCONJ
ejpam-5071	149	38	µ	µ	X
ejpam-5071	149	39	)	)	PUNCT
ejpam-5071	149	40	−4βa2	−4βa2	NOUN
ejpam-5071	149	41	x3k1+γk1	x3k1+γk1	NOUN
ejpam-5071	149	42	(	(	PUNCT
ejpam-5071	149	43	k1	k1	NOUN
ejpam-5071	149	44	+	+	CCONJ
ejpam-5071	149	45	γk1	γk1	NOUN
ejpam-5071	149	46	+	+	CCONJ
ejpam-5071	149	47	µ)(2k1	µ)(2k1	ADP
ejpam-5071	149	48	+	+	ADJ
ejpam-5071	149	49	γk1	γk1	NOUN
ejpam-5071	149	50	+	+	CCONJ
ejpam-5071	149	51	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	149	52	+	+	CCONJ
ejpam-5071	149	53	γk1	γk1	NOUN
ejpam-5071	149	54	+	+	CCONJ
ejpam-5071	149	55	µ	µ	X
ejpam-5071	149	56	)	)	PUNCT
ejpam-5071	149	57	−β2a22	−β2a22	NOUN
ejpam-5071	149	58	x2k1	x2k1	PUNCT
ejpam-5071	149	59	+	+	NOUN
ejpam-5071	149	60	2γk1	2γk1	NUM
ejpam-5071	149	61	(	(	PUNCT
ejpam-5071	149	62	k1	k1	NOUN
ejpam-5071	149	63	+	+	CCONJ
ejpam-5071	149	64	γk1	γk1	NOUN
ejpam-5071	149	65	+	+	CCONJ
ejpam-5071	149	66	µ)2(2k1	µ)2(2k1	NOUN
ejpam-5071	149	67	+	+	CCONJ
ejpam-5071	149	68	2γk1	2γk1	NUM
ejpam-5071	149	69	+	+	SYM
ejpam-5071	149	70	µ	µ	X
ejpam-5071	149	71	)	)	PUNCT
ejpam-5071	149	72	+4aβ2	+4aβ2	NOUN
ejpam-5071	149	73	x2k1+βγk1	x2k1+βγk1	PRON
ejpam-5071	149	74	(	(	PUNCT
ejpam-5071	149	75	βγk1	βγk1	ADJ
ejpam-5071	149	76	+	+	NUM
ejpam-5071	149	77	µ)(k1	µ)(k1	SYM
ejpam-5071	149	78	+	+	NUM
ejpam-5071	149	79	βγk1	βγk1	ADJ
ejpam-5071	149	80	+	+	CCONJ
ejpam-5071	149	81	µ)(2k1	µ)(2k1	ADJ
ejpam-5071	149	82	+	+	CCONJ
ejpam-5071	149	83	βγk1	βγk1	ADJ
ejpam-5071	149	84	+	+	CCONJ
ejpam-5071	149	85	µ	µ	X
ejpam-5071	149	86	+2βaβ+1	+2βaβ+1	NUM
ejpam-5071	149	87	2	2	NUM
ejpam-5071	149	88	x2k1+γk1+βγk1	x2k1+γk1+βγk1	NOUN
ejpam-5071	149	89	(	(	PUNCT
ejpam-5071	149	90	k1	k1	NOUN
ejpam-5071	149	91	+	+	CCONJ
ejpam-5071	149	92	γk1	γk1	NOUN
ejpam-5071	149	93	+	+	CCONJ
ejpam-5071	149	94	µ)(βγk1	µ)(βγk1	ADJ
ejpam-5071	149	95	+	+	X
ejpam-5071	149	96	µ)(k1	µ)(k1	NOUN
ejpam-5071	149	97	+	+	PUNCT
ejpam-5071	149	98	γk1	γk1	X
ejpam-5071	150	1	+	+	CCONJ
ejpam-5071	150	2	βγ	βγ	NOUN
ejpam-5071	150	3	+	+	ADJ
ejpam-5071	150	4	µ	µ	X
ejpam-5071	150	5	)	)	PUNCT
ejpam-5071	150	6	+2β2a22	+2β2a22	PROPN
ejpam-5071	150	7	x3k1	x3k1	PUNCT
ejpam-5071	150	8	+	+	NOUN
ejpam-5071	150	9	2γk1	2γk1	NUM
ejpam-5071	150	10	(	(	PUNCT
ejpam-5071	150	11	k1	k1	NOUN
ejpam-5071	150	12	+	+	CCONJ
ejpam-5071	150	13	γk1	γk1	NOUN
ejpam-5071	150	14	+	+	CCONJ
ejpam-5071	150	15	µ)2(2k1	µ)2(2k1	NOUN
ejpam-5071	150	16	+	+	CCONJ
ejpam-5071	150	17	βγk1	βγk1	ADJ
ejpam-5071	150	18	+	+	CCONJ
ejpam-5071	150	19	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	150	20	+	+	CCONJ
ejpam-5071	150	21	2γk1	2γk1	NUM
ejpam-5071	150	22	+	+	SYM
ejpam-5071	150	23	µ	µ	X
ejpam-5071	150	24	)	)	PUNCT
ejpam-5071	150	25	u4(x	u4(x	PROPN
ejpam-5071	150	26	)	)	PUNCT
ejpam-5071	150	27	=	=	SYM
ejpam-5071	150	28	∫	∫	PROPN
ejpam-5071	150	29	x	x	SYM
ejpam-5071	150	30	0	0	PROPN
ejpam-5071	150	31	tµ−1	tµ−1	VERB
ejpam-5071	150	32	xµ	xµ	PROPN
ejpam-5071	150	33	(	(	PUNCT
ejpam-5071	150	34	u0	u0	ADJ
ejpam-5071	150	35	+	+	NUM
ejpam-5071	150	36	u1	u1	NOUN
ejpam-5071	150	37	+	+	CCONJ
ejpam-5071	150	38	u2	u2	NOUN
ejpam-5071	150	39	+	+	CCONJ
ejpam-5071	150	40	u3)(t	u3)(t	NUM
ejpam-5071	150	41	)	)	PUNCT
ejpam-5071	150	42	βdt−	βdt−	NUM
ejpam-5071	151	1	3∑	3∑	NUM
ejpam-5071	151	2	i=1	i=1	NOUN
ejpam-5071	151	3	ui	ui	NOUN
ejpam-5071	152	1	=	=	PUNCT
ejpam-5071	152	2	4βa2	4βa2	NUM
ejpam-5071	152	3	x3k1+γk1	x3k1+γk1	NOUN
ejpam-5071	152	4	(	(	PUNCT
ejpam-5071	152	5	k1	k1	NOUN
ejpam-5071	152	6	+	+	CCONJ
ejpam-5071	152	7	γk1	γk1	NOUN
ejpam-5071	152	8	+	+	CCONJ
ejpam-5071	152	9	µ)(2k1	µ)(2k1	ADP
ejpam-5071	152	10	+	+	ADJ
ejpam-5071	152	11	γk1	γk1	NOUN
ejpam-5071	152	12	+	+	CCONJ
ejpam-5071	152	13	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	152	14	+	+	CCONJ
ejpam-5071	152	15	γk1	γk1	NOUN
ejpam-5071	152	16	+	+	CCONJ
ejpam-5071	152	17	µ	µ	X
ejpam-5071	152	18	)	)	PUNCT
ejpam-5071	152	19	−4aβ2	−4aβ2	NOUN
ejpam-5071	152	20	x2k1+βγk1	x2k1+βγk1	PROPN
ejpam-5071	152	21	(	(	PUNCT
ejpam-5071	152	22	βγk1	βγk1	PROPN
ejpam-5071	152	23	+	+	NUM
ejpam-5071	152	24	µ)(k1	µ)(k1	SYM
ejpam-5071	152	25	+	+	NUM
ejpam-5071	152	26	βγk1	βγk1	ADJ
ejpam-5071	152	27	+	+	CCONJ
ejpam-5071	152	28	µ)(2k1	µ)(2k1	ADJ
ejpam-5071	152	29	+	+	CCONJ
ejpam-5071	152	30	βγk1	βγk1	ADJ
ejpam-5071	152	31	+	+	CCONJ
ejpam-5071	152	32	µ	µ	X
ejpam-5071	152	33	−8βa2	−8βa2	PROPN
ejpam-5071	152	34	x4k1+γk1	x4k1+γk1	PROPN
ejpam-5071	152	35	(	(	PUNCT
ejpam-5071	152	36	k1	k1	NOUN
ejpam-5071	152	37	+	+	CCONJ
ejpam-5071	152	38	γk1	γk1	NOUN
ejpam-5071	152	39	+	+	CCONJ
ejpam-5071	152	40	µ)(2k1	µ)(2k1	ADP
ejpam-5071	152	41	+	+	X
ejpam-5071	152	42	γk1	γk1	NOUN
ejpam-5071	152	43	+	+	CCONJ
ejpam-5071	152	44	µ)(3γk1	µ)(3γk1	ADV
ejpam-5071	152	45	+	+	ADJ
ejpam-5071	152	46	γk1	γk1	NOUN
ejpam-5071	152	47	+	+	CCONJ
ejpam-5071	152	48	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	152	49	+	+	CCONJ
ejpam-5071	152	50	γk1	γk1	NOUN
ejpam-5071	152	51	+	+	CCONJ
ejpam-5071	152	52	µ	µ	X
ejpam-5071	152	53	)	)	PUNCT
ejpam-5071	152	54	−2β2a22	−2β2a22	NOUN
ejpam-5071	152	55	x3k1	x3k1	PUNCT
ejpam-5071	152	56	+	+	NOUN
ejpam-5071	152	57	2γk1	2γk1	NUM
ejpam-5071	152	58	(	(	PUNCT
ejpam-5071	152	59	k1	k1	NOUN
ejpam-5071	152	60	+	+	CCONJ
ejpam-5071	152	61	γk1	γk1	NOUN
ejpam-5071	152	62	+	+	CCONJ
ejpam-5071	152	63	µ)2(2k1	µ)2(2k1	NOUN
ejpam-5071	152	64	+	+	CCONJ
ejpam-5071	152	65	βγk1	βγk1	ADJ
ejpam-5071	152	66	+	+	CCONJ
ejpam-5071	152	67	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	152	68	+	+	CCONJ
ejpam-5071	152	69	2γk1	2γk1	NUM
ejpam-5071	152	70	+	+	NUM
ejpam-5071	152	71	µ	µ	X
ejpam-5071	152	72	)	)	PUNCT
ejpam-5071	152	73	+8aβ2	+8aβ2	NOUN
ejpam-5071	152	74	x3k1+βγk1	x3k1+βγk1	NOUN
ejpam-5071	152	75	(	(	PUNCT
ejpam-5071	152	76	βγk1	βγk1	ADJ
ejpam-5071	152	77	+	+	NUM
ejpam-5071	152	78	µ)(k1	µ)(k1	SYM
ejpam-5071	152	79	+	+	NUM
ejpam-5071	152	80	βγk1	βγk1	ADJ
ejpam-5071	152	81	+	+	CCONJ
ejpam-5071	152	82	µ)(2k1	µ)(2k1	ADJ
ejpam-5071	152	83	+	+	CCONJ
ejpam-5071	152	84	βγk1	βγk1	ADJ
ejpam-5071	152	85	+	+	CCONJ
ejpam-5071	152	86	µ	µ	X
ejpam-5071	152	87	)	)	PUNCT
ejpam-5071	152	88	+	+	CCONJ
ejpam-5071	152	89	(	(	PUNCT
ejpam-5071	152	90	3k1	3k1	NUM
ejpam-5071	152	91	+	+	CCONJ
ejpam-5071	152	92	βγk1	βγk1	ADJ
ejpam-5071	152	93	+	+	CCONJ
ejpam-5071	152	94	µ	µ	X
ejpam-5071	152	95	)	)	PUNCT
ejpam-5071	152	96	u5(x	u5(x	NOUN
ejpam-5071	152	97	)	)	PUNCT
ejpam-5071	152	98	=	=	SYM
ejpam-5071	153	1	∫	∫	PROPN
ejpam-5071	153	2	x	x	SYM
ejpam-5071	153	3	0	0	PROPN
ejpam-5071	154	1	tµ−1	tµ−1	VERB
ejpam-5071	154	2	xµ	xµ	PROPN
ejpam-5071	154	3	(	(	PUNCT
ejpam-5071	154	4	u0	u0	ADJ
ejpam-5071	154	5	+	+	NUM
ejpam-5071	154	6	u1	u1	NOUN
ejpam-5071	154	7	+	+	CCONJ
ejpam-5071	154	8	u2	u2	NOUN
ejpam-5071	154	9	+	+	CCONJ
ejpam-5071	154	10	u3	u3	NOUN
ejpam-5071	154	11	+	+	CCONJ
ejpam-5071	154	12	u4)(t	u4)(t	PROPN
ejpam-5071	154	13	)	)	PUNCT
ejpam-5071	154	14	βdt−	βdt−	NUM
ejpam-5071	154	15	4∑	4∑	NUM
ejpam-5071	154	16	i=1	i=1	PROPN
ejpam-5071	154	17	ui	ui	PROPN
ejpam-5071	155	1	=	=	NOUN
ejpam-5071	155	2	8βa2	8βa2	NUM
ejpam-5071	155	3	x4k1+γk1	x4k1+γk1	PROPN
ejpam-5071	155	4	(	(	PUNCT
ejpam-5071	155	5	k1	k1	NOUN
ejpam-5071	155	6	+	+	CCONJ
ejpam-5071	155	7	γk1	γk1	NOUN
ejpam-5071	155	8	+	+	CCONJ
ejpam-5071	155	9	µ)(2k1	µ)(2k1	ADP
ejpam-5071	155	10	+	+	X
ejpam-5071	155	11	γk1	γk1	NOUN
ejpam-5071	155	12	+	+	CCONJ
ejpam-5071	155	13	µ)(3γk1	µ)(3γk1	ADV
ejpam-5071	155	14	+	+	ADJ
ejpam-5071	155	15	γk1	γk1	NOUN
ejpam-5071	156	1	+	+	CCONJ
ejpam-5071	156	2	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	156	3	+	+	CCONJ
ejpam-5071	156	4	γk1	γk1	NOUN
ejpam-5071	156	5	+	+	CCONJ
ejpam-5071	156	6	µ	µ	X
ejpam-5071	156	7	)	)	PUNCT
ejpam-5071	156	8	k.	k.	PROPN
ejpam-5071	156	9	f.	f.	PROPN
ejpam-5071	156	10	sarfo	sarfo	PROPN
ejpam-5071	156	11	et	et	PROPN
ejpam-5071	156	12	al	al	PROPN
ejpam-5071	156	13	.	.	PUNCT
ejpam-5071	156	14	/	/	SYM
ejpam-5071	156	15	eur	eur	PROPN
ejpam-5071	156	16	.	.	PUNCT
ejpam-5071	157	1	j.	j.	PROPN
ejpam-5071	157	2	pure	pure	PROPN
ejpam-5071	157	3	appl	appl	PROPN
ejpam-5071	157	4	.	.	PROPN
ejpam-5071	157	5	math	math	PROPN
ejpam-5071	157	6	,	,	PUNCT
ejpam-5071	157	7	17	17	NUM
ejpam-5071	157	8	(	(	PUNCT
ejpam-5071	157	9	2	2	NUM
ejpam-5071	157	10	)	)	PUNCT
ejpam-5071	157	11	(	(	PUNCT
ejpam-5071	157	12	2024	2024	NUM
ejpam-5071	157	13	)	)	PUNCT
ejpam-5071	157	14	,	,	PUNCT
ejpam-5071	157	15	1046	1046	NUM
ejpam-5071	157	16	-	-	SYM
ejpam-5071	157	17	1069	1069	NUM
ejpam-5071	157	18	1053	1053	NUM
ejpam-5071	157	19	−8aβ2	−8aβ2	NOUN
ejpam-5071	157	20	x3k1+βγk1	x3k1+βγk1	PROPN
ejpam-5071	157	21	(	(	PUNCT
ejpam-5071	157	22	βγk1	βγk1	ADJ
ejpam-5071	157	23	+	+	NUM
ejpam-5071	157	24	µ)(k1	µ)(k1	SYM
ejpam-5071	157	25	+	+	NUM
ejpam-5071	157	26	βγk1	βγk1	ADJ
ejpam-5071	157	27	+	+	CCONJ
ejpam-5071	157	28	µ)(2k1	µ)(2k1	ADJ
ejpam-5071	157	29	+	+	CCONJ
ejpam-5071	157	30	βγk1	βγk1	ADJ
ejpam-5071	157	31	+	+	CCONJ
ejpam-5071	157	32	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	157	33	+	+	CCONJ
ejpam-5071	157	34	βγk1	βγk1	ADJ
ejpam-5071	157	35	+	+	CCONJ
ejpam-5071	157	36	µ	µ	X
ejpam-5071	157	37	)	)	PUNCT
ejpam-5071	157	38	−16βa2	−16βa2	NOUN
ejpam-5071	158	1	[	[	X
ejpam-5071	158	2	(	(	PUNCT
ejpam-5071	158	3	x5k1+γk1	x5k1+γk1	ADV
ejpam-5071	158	4	(	(	PUNCT
ejpam-5071	158	5	k1	k1	NOUN
ejpam-5071	158	6	+	+	CCONJ
ejpam-5071	158	7	γk1	γk1	NOUN
ejpam-5071	158	8	+	+	CCONJ
ejpam-5071	158	9	µ)(2k1	µ)(2k1	ADP
ejpam-5071	158	10	+	+	ADJ
ejpam-5071	158	11	γk1	γk1	NOUN
ejpam-5071	158	12	+	+	CCONJ
ejpam-5071	158	13	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	158	14	+	+	CCONJ
ejpam-5071	158	15	γk1	γk1	NOUN
ejpam-5071	158	16	+	+	CCONJ
ejpam-5071	158	17	µ	µ	X
ejpam-5071	158	18	)	)	PUNCT
ejpam-5071	158	19	×	×	NOUN
ejpam-5071	158	20	1	1	NUM
ejpam-5071	158	21	(	(	PUNCT
ejpam-5071	158	22	4k1	4k1	NUM
ejpam-5071	158	23	+	+	PUNCT
ejpam-5071	158	24	γk1	γk1	NOUN
ejpam-5071	158	25	+	+	CCONJ
ejpam-5071	158	26	µ)(5k1	µ)(5k1	ADJ
ejpam-5071	158	27	+	+	SYM
ejpam-5071	158	28	γk1	γk1	NOUN
ejpam-5071	158	29	+	+	CCONJ
ejpam-5071	158	30	µ	µ	X
ejpam-5071	158	31	)	)	PUNCT
ejpam-5071	158	32	)	)	PUNCT
ejpam-5071	158	33	]	]	PUNCT
ejpam-5071	159	1	the	the	DET
ejpam-5071	159	2	series	series	NOUN
ejpam-5071	159	3	solutions	solution	NOUN
ejpam-5071	159	4	reduces	reduce	VERB
ejpam-5071	159	5	to	to	ADP
ejpam-5071	159	6	u6(x	u6(x	PROPN
ejpam-5071	159	7	)	)	PUNCT
ejpam-5071	159	8	=	=	SYM
ejpam-5071	160	1	∫	∫	PROPN
ejpam-5071	160	2	x	x	SYM
ejpam-5071	160	3	0	0	PROPN
ejpam-5071	161	1	tµ−1	tµ−1	VERB
ejpam-5071	161	2	xµ	xµ	PROPN
ejpam-5071	161	3	(	(	PUNCT
ejpam-5071	161	4	u0	u0	ADJ
ejpam-5071	161	5	+	+	NUM
ejpam-5071	161	6	u1	u1	NOUN
ejpam-5071	161	7	+	+	CCONJ
ejpam-5071	161	8	u2	u2	NOUN
ejpam-5071	161	9	+	+	CCONJ
ejpam-5071	161	10	u3	u3	NOUN
ejpam-5071	161	11	+	+	CCONJ
ejpam-5071	161	12	u4	u4	PROPN
ejpam-5071	161	13	+	+	CCONJ
ejpam-5071	161	14	u5(x))(t	u5(x))(t	PROPN
ejpam-5071	161	15	)	)	PUNCT
ejpam-5071	161	16	βdt−	βdt−	NUM
ejpam-5071	162	1	5∑	5∑	NOUN
ejpam-5071	162	2	i=1	i=1	PROPN
ejpam-5071	162	3	ui	ui	PROPN
ejpam-5071	163	1	=	=	PUNCT
ejpam-5071	163	2	16βa2	16βa2	NUM
ejpam-5071	163	3	[	[	X
ejpam-5071	163	4	(	(	PUNCT
ejpam-5071	163	5	x5k1+γk1	x5k1+γk1	ADV
ejpam-5071	163	6	(	(	PUNCT
ejpam-5071	163	7	k1	k1	NOUN
ejpam-5071	163	8	+	+	CCONJ
ejpam-5071	163	9	γk1	γk1	NOUN
ejpam-5071	163	10	+	+	CCONJ
ejpam-5071	163	11	µ)(2k1	µ)(2k1	ADP
ejpam-5071	163	12	+	+	ADJ
ejpam-5071	163	13	γk1	γk1	NOUN
ejpam-5071	163	14	+	+	CCONJ
ejpam-5071	163	15	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	163	16	+	+	CCONJ
ejpam-5071	163	17	γk1	γk1	NOUN
ejpam-5071	163	18	+	+	CCONJ
ejpam-5071	163	19	µ	µ	X
ejpam-5071	163	20	)	)	PUNCT
ejpam-5071	163	21	×	×	NOUN
ejpam-5071	163	22	1	1	NUM
ejpam-5071	163	23	(	(	PUNCT
ejpam-5071	163	24	4k1	4k1	NUM
ejpam-5071	163	25	+	+	PUNCT
ejpam-5071	163	26	γk1	γk1	NOUN
ejpam-5071	163	27	+	+	CCONJ
ejpam-5071	163	28	µ)(5k1	µ)(5k1	ADJ
ejpam-5071	163	29	+	+	SYM
ejpam-5071	163	30	γk1	γk1	NOUN
ejpam-5071	163	31	+	+	CCONJ
ejpam-5071	163	32	µ	µ	X
ejpam-5071	163	33	)	)	PUNCT
ejpam-5071	163	34	)	)	PUNCT
ejpam-5071	163	35	]	]	PUNCT
ejpam-5071	164	1	+	+	CCONJ
ejpam-5071	164	2	...	...	PUNCT
ejpam-5071	164	3	u(x	u(x	PROPN
ejpam-5071	164	4	)	)	PUNCT
ejpam-5071	164	5	=	=	SYM
ejpam-5071	164	6	6∑	6∑	NUM
ejpam-5071	164	7	i=0	i=0	PROPN
ejpam-5071	164	8	ui	ui	PROPN
ejpam-5071	164	9	∴	∴	PROPN
ejpam-5071	164	10	u(x	u(x	PROPN
ejpam-5071	164	11	)	)	PUNCT
ejpam-5071	164	12	=	=	PUNCT
ejpam-5071	164	13	xk1	xk1	PROPN
ejpam-5071	164	14	2.2.2	2.2.2	NUM
ejpam-5071	164	15	.	.	PUNCT
ejpam-5071	164	16	solution	solution	NOUN
ejpam-5071	164	17	model	model	NOUN
ejpam-5071	164	18	for	for	ADP
ejpam-5071	164	19	3rd	3rd	ADJ
ejpam-5071	164	20	-order	-order	PROPN
ejpam-5071	164	21	nonlinear	nonlinear	VERB
ejpam-5071	164	22	wsvie(γ	wsvie(γ	PRON
ejpam-5071	164	23	=	=	PUNCT
ejpam-5071	164	24	β	β	X
ejpam-5071	164	25	=	=	SYM
ejpam-5071	164	26	3	3	X
ejpam-5071	164	27	)	)	PUNCT
ejpam-5071	164	28	consider	consider	VERB
ejpam-5071	164	29	the	the	DET
ejpam-5071	164	30	3rd	3rd	ADJ
ejpam-5071	164	31	order	order	NOUN
ejpam-5071	164	32	wsvie	wsvie	NOUN
ejpam-5071	164	33	of	of	ADP
ejpam-5071	164	34	the	the	DET
ejpam-5071	164	35	form	form	NOUN
ejpam-5071	164	36	:	:	PUNCT
ejpam-5071	164	37	u(x	u(x	PROPN
ejpam-5071	164	38	)	)	PUNCT
ejpam-5071	164	39	=	=	SYM
ejpam-5071	164	40	a1(x	a1(x	NOUN
ejpam-5071	164	41	)	)	PUNCT
ejpam-5071	164	42	k1	k1	NOUN
ejpam-5071	164	43	−	−	PROPN
ejpam-5071	164	44	a2(x	a2(x	PROPN
ejpam-5071	164	45	)	)	PUNCT
ejpam-5071	164	46	γk1	γk1	NOUN
ejpam-5071	165	1	+	+	CCONJ
ejpam-5071	165	2	∫	∫	PROPN
ejpam-5071	165	3	x	x	SYM
ejpam-5071	165	4	0	0	NUM
ejpam-5071	165	5	−	−	NOUN
ejpam-5071	165	6	tµ−1	tµ−1	NOUN
ejpam-5071	165	7	xµ	xµ	PROPN
ejpam-5071	165	8	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	165	9	,	,	PUNCT
ejpam-5071	165	10	γ	γ	X
ejpam-5071	165	11	=	=	SYM
ejpam-5071	165	12	β	β	X
ejpam-5071	165	13	=	=	SYM
ejpam-5071	165	14	3	3	NUM
ejpam-5071	165	15	,	,	PUNCT
ejpam-5071	165	16	µ	µ	X
ejpam-5071	165	17	>	>	SYM
ejpam-5071	165	18	0	0	PUNCT
ejpam-5071	165	19	and	and	CCONJ
ejpam-5071	165	20	k1	k1	PROPN
ejpam-5071	165	21	∈	∈	PROPN
ejpam-5071	165	22	q+	q+	PUNCT
ejpam-5071	165	23	(	(	PUNCT
ejpam-5071	165	24	19	19	NUM
ejpam-5071	165	25	)	)	PUNCT
ejpam-5071	165	26	truncation	truncation	NOUN
ejpam-5071	165	27	point	point	NOUN
ejpam-5071	165	28	is	be	AUX
ejpam-5071	165	29	given	give	VERB
ejpam-5071	165	30	by	by	ADP
ejpam-5071	165	31	un(x	un(x	NOUN
ejpam-5071	165	32	)	)	PUNCT
ejpam-5071	165	33	=	=	SYM
ejpam-5071	166	1	anx	anx	ADJ
ejpam-5071	167	1	[	[	X
ejpam-5071	167	2	n(γ−1)+1]k1	n(γ−1)+1]k1	X
ejpam-5071	167	3	,	,	PUNCT
ejpam-5071	167	4	n	n	X
ejpam-5071	167	5	≥	≥	NOUN
ejpam-5071	167	6	2	2	NUM
ejpam-5071	167	7	u0(x	u0(x	NUM
ejpam-5071	167	8	)	)	PUNCT
ejpam-5071	167	9	=	=	SYM
ejpam-5071	167	10	f(x	f(x	PROPN
ejpam-5071	167	11	)	)	PUNCT
ejpam-5071	167	12	=	=	PUNCT
ejpam-5071	168	1	a1(x	a1(x	NOUN
ejpam-5071	168	2	)	)	PUNCT
ejpam-5071	168	3	k1	k1	NOUN
ejpam-5071	168	4	−	−	PROPN
ejpam-5071	168	5	a2(x	a2(x	PROPN
ejpam-5071	168	6	)	)	PUNCT
ejpam-5071	168	7	γk1	γk1	NOUN
ejpam-5071	168	8	=	=	SYM
ejpam-5071	168	9	xk1	xk1	PROPN
ejpam-5071	168	10	−	−	PROPN
ejpam-5071	168	11	xγk1	xγk1	PROPN
ejpam-5071	168	12	µ+	µ+	X
ejpam-5071	168	13	γk1	γk1	NOUN
ejpam-5071	168	14	where	where	SCONJ
ejpam-5071	168	15	,	,	PUNCT
ejpam-5071	168	16	a1	a1	NOUN
ejpam-5071	168	17	=	=	SYM
ejpam-5071	168	18	µ−	µ−	PROPN
ejpam-5071	168	19	(	(	PUNCT
ejpam-5071	168	20	µ−	µ−	PROPN
ejpam-5071	168	21	1	1	NUM
ejpam-5071	168	22	)	)	PUNCT
ejpam-5071	168	23	,	,	PUNCT
ejpam-5071	168	24	a2	a2	PROPN
ejpam-5071	168	25	=	=	PUNCT
ejpam-5071	168	26	1	1	NUM
ejpam-5071	168	27	µ+	µ+	ADJ
ejpam-5071	168	28	γk1	γk1	NOUN
ejpam-5071	168	29	u1(x	u1(x	ADV
ejpam-5071	168	30	)	)	PUNCT
ejpam-5071	168	31	=	=	SYM
ejpam-5071	169	1	∫	∫	PROPN
ejpam-5071	169	2	x	x	SYM
ejpam-5071	169	3	0	0	PROPN
ejpam-5071	169	4	tµ−1	tµ−1	VERB
ejpam-5071	169	5	xµ	xµ	PROPN
ejpam-5071	169	6	(	(	PUNCT
ejpam-5071	169	7	u0)(t	u0)(t	ADJ
ejpam-5071	169	8	)	)	PUNCT
ejpam-5071	169	9	βdt	βdt	NOUN
ejpam-5071	169	10	=	=	PUNCT
ejpam-5071	170	1	x3k1	x3k1	NUM
ejpam-5071	170	2	3k1	3k1	NUM
ejpam-5071	171	1	+	+	SYM
ejpam-5071	171	2	µ	µ	X
ejpam-5071	171	3	−	−	NOUN
ejpam-5071	171	4	3a2	3a2	NUM
ejpam-5071	171	5	x2k1+γk1	x2k1+γk1	NOUN
ejpam-5071	171	6	2k1	2k1	NUM
ejpam-5071	172	1	+	+	PUNCT
ejpam-5071	172	2	γk1	γk1	NOUN
ejpam-5071	172	3	+	+	CCONJ
ejpam-5071	172	4	µ	µ	X
ejpam-5071	172	5	+	+	NUM
ejpam-5071	172	6	3a22	3a22	NUM
ejpam-5071	172	7	xk1	xk1	PROPN
ejpam-5071	172	8	+	+	PROPN
ejpam-5071	172	9	2γk1	2γk1	NUM
ejpam-5071	172	10	k1	k1	NOUN
ejpam-5071	172	11	+	+	CCONJ
ejpam-5071	172	12	2γk1	2γk1	NUM
ejpam-5071	172	13	+	+	NUM
ejpam-5071	172	14	µ	µ	PRON
ejpam-5071	172	15	−	−	PROPN
ejpam-5071	172	16	a32	a32	PROPN
ejpam-5071	172	17	x3γk1	x3γk1	NOUN
ejpam-5071	172	18	3γk1	3γk1	NUM
ejpam-5071	172	19	+	+	NUM
ejpam-5071	172	20	µ	µ	X
ejpam-5071	172	21	u2(x	u2(x	NUM
ejpam-5071	172	22	)	)	PUNCT
ejpam-5071	172	23	=	=	SYM
ejpam-5071	173	1	∫	∫	PROPN
ejpam-5071	173	2	x	x	SYM
ejpam-5071	173	3	0	0	PROPN
ejpam-5071	174	1	tµ−1	tµ−1	VERB
ejpam-5071	174	2	xµ	xµ	PROPN
ejpam-5071	174	3	(	(	PUNCT
ejpam-5071	174	4	u0	u0	PROPN
ejpam-5071	174	5	+	+	X
ejpam-5071	174	6	u1)(t	u1)(t	ADJ
ejpam-5071	174	7	)	)	PUNCT
ejpam-5071	174	8	βdt−	βdt−	NUM
ejpam-5071	174	9	u1	u1	NOUN
ejpam-5071	174	10	=	=	SYM
ejpam-5071	174	11	3a2	3a2	NUM
ejpam-5071	174	12	x2k1+γk1	x2k1+γk1	VERB
ejpam-5071	174	13	2k1	2k1	NUM
ejpam-5071	174	14	+	+	PUNCT
ejpam-5071	174	15	γk1	γk1	NOUN
ejpam-5071	174	16	+	+	CCONJ
ejpam-5071	174	17	µ	µ	X
ejpam-5071	174	18	+	+	NUM
ejpam-5071	174	19	3a22	3a22	NUM
ejpam-5071	174	20	xk1	xk1	PROPN
ejpam-5071	174	21	+	+	PROPN
ejpam-5071	174	22	2γk1	2γk1	NUM
ejpam-5071	174	23	k1	k1	NOUN
ejpam-5071	174	24	+	+	CCONJ
ejpam-5071	174	25	2γk1	2γk1	NUM
ejpam-5071	174	26	+	+	NUM
ejpam-5071	174	27	µ	µ	X
ejpam-5071	174	28	+	+	CCONJ
ejpam-5071	174	29	9a2	9a2	NUM
ejpam-5071	174	30	x4k1+γk1	x4k1+γk1	NOUN
ejpam-5071	174	31	(	(	PUNCT
ejpam-5071	174	32	2k1	2k1	NUM
ejpam-5071	174	33	+	+	ADJ
ejpam-5071	174	34	γk1	γk1	NOUN
ejpam-5071	174	35	+	+	CCONJ
ejpam-5071	174	36	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	174	37	+	+	CCONJ
ejpam-5071	174	38	γk1	γk1	NOUN
ejpam-5071	174	39	+	+	CCONJ
ejpam-5071	174	40	µ	µ	X
ejpam-5071	174	41	)	)	PUNCT
ejpam-5071	174	42	k.	k.	PROPN
ejpam-5071	175	1	f.	f.	PROPN
ejpam-5071	175	2	sarfo	sarfo	PROPN
ejpam-5071	175	3	et	et	PROPN
ejpam-5071	175	4	al	al	PROPN
ejpam-5071	175	5	.	.	PUNCT
ejpam-5071	175	6	/	/	SYM
ejpam-5071	175	7	eur	eur	PROPN
ejpam-5071	175	8	.	.	PUNCT
ejpam-5071	176	1	j.	j.	PROPN
ejpam-5071	176	2	pure	pure	PROPN
ejpam-5071	176	3	appl	appl	PROPN
ejpam-5071	176	4	.	.	PROPN
ejpam-5071	176	5	math	math	PROPN
ejpam-5071	176	6	,	,	PUNCT
ejpam-5071	176	7	17	17	NUM
ejpam-5071	176	8	(	(	PUNCT
ejpam-5071	176	9	2	2	NUM
ejpam-5071	176	10	)	)	PUNCT
ejpam-5071	176	11	(	(	PUNCT
ejpam-5071	176	12	2024	2024	NUM
ejpam-5071	176	13	)	)	PUNCT
ejpam-5071	176	14	,	,	PUNCT
ejpam-5071	176	15	1046	1046	NUM
ejpam-5071	176	16	-	-	SYM
ejpam-5071	176	17	1069	1069	NUM
ejpam-5071	176	18	1054	1054	NUM
ejpam-5071	176	19	−9a22	−9a22	PROPN
ejpam-5071	176	20	x3k1	x3k1	PUNCT
ejpam-5071	176	21	+	+	NOUN
ejpam-5071	176	22	2γk1	2γk1	NUM
ejpam-5071	176	23	(	(	PUNCT
ejpam-5071	176	24	k1	k1	NOUN
ejpam-5071	176	25	+	+	CCONJ
ejpam-5071	176	26	2γk1	2γk1	NUM
ejpam-5071	176	27	+	+	CCONJ
ejpam-5071	176	28	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	176	29	+	+	CCONJ
ejpam-5071	176	30	2γk1	2γk1	NUM
ejpam-5071	176	31	+	+	NUM
ejpam-5071	176	32	µ	µ	X
ejpam-5071	176	33	)	)	PUNCT
ejpam-5071	176	34	+	+	CCONJ
ejpam-5071	176	35	a32	a32	PROPN
ejpam-5071	176	36	x3γk1	x3γk1	X
ejpam-5071	176	37	3γk1	3γk1	NUM
ejpam-5071	176	38	+	+	NUM
ejpam-5071	176	39	µ	µ	X
ejpam-5071	176	40	u3(x	u3(x	NOUN
ejpam-5071	176	41	)	)	PUNCT
ejpam-5071	176	42	=	=	SYM
ejpam-5071	177	1	∫	∫	PROPN
ejpam-5071	177	2	x	x	SYM
ejpam-5071	177	3	0	0	PROPN
ejpam-5071	178	1	tµ−1	tµ−1	VERB
ejpam-5071	178	2	xµ	xµ	PROPN
ejpam-5071	178	3	(	(	PUNCT
ejpam-5071	178	4	u0	u0	ADJ
ejpam-5071	178	5	+	+	NUM
ejpam-5071	178	6	u1	u1	NOUN
ejpam-5071	178	7	+	+	CCONJ
ejpam-5071	178	8	u2)(t	u2)(t	PROPN
ejpam-5071	178	9	)	)	PUNCT
ejpam-5071	178	10	βdt−	βdt−	NUM
ejpam-5071	178	11	2∑	2∑	NUM
ejpam-5071	178	12	i=0	i=0	PROPN
ejpam-5071	178	13	ui	ui	NOUN
ejpam-5071	179	1	=	=	SYM
ejpam-5071	179	2	9a2	9a2	NUM
ejpam-5071	179	3	x4k1+γk1	x4k1+γk1	NOUN
ejpam-5071	179	4	(	(	PUNCT
ejpam-5071	179	5	2k1	2k1	NUM
ejpam-5071	179	6	+	+	ADJ
ejpam-5071	179	7	γk1	γk1	NOUN
ejpam-5071	179	8	+	+	CCONJ
ejpam-5071	179	9	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	179	10	+	+	CCONJ
ejpam-5071	179	11	γk1	γk1	NOUN
ejpam-5071	179	12	+	+	CCONJ
ejpam-5071	179	13	µ	µ	X
ejpam-5071	179	14	)	)	PUNCT
ejpam-5071	179	15	−	−	PROPN
ejpam-5071	179	16	9a22	9a22	NUM
ejpam-5071	179	17	x3k1	x3k1	PUNCT
ejpam-5071	179	18	+	+	NOUN
ejpam-5071	179	19	2γk1	2γk1	NUM
ejpam-5071	179	20	(	(	PUNCT
ejpam-5071	179	21	k1	k1	NOUN
ejpam-5071	179	22	+	+	CCONJ
ejpam-5071	179	23	2γk1	2γk1	NUM
ejpam-5071	179	24	+	+	CCONJ
ejpam-5071	179	25	µ)(3k1	µ)(3k1	PROPN
ejpam-5071	179	26	+	+	CCONJ
ejpam-5071	179	27	2γk1	2γk1	NUM
ejpam-5071	179	28	+	+	SYM
ejpam-5071	179	29	µ	µ	X
ejpam-5071	179	30	)	)	PUNCT
ejpam-5071	179	31	−27a2	−27a2	PROPN
ejpam-5071	179	32	x6k1+γk1	x6k1+γk1	ADV
ejpam-5071	179	33	(	(	PUNCT
ejpam-5071	179	34	2k1	2k1	NUM
ejpam-5071	179	35	+	+	ADJ
ejpam-5071	179	36	γk1	γk1	NOUN
ejpam-5071	179	37	+	+	CCONJ
ejpam-5071	179	38	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	179	39	+	+	CCONJ
ejpam-5071	179	40	γk1	γk1	NOUN
ejpam-5071	179	41	+	+	CCONJ
ejpam-5071	179	42	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	179	43	+	+	CCONJ
ejpam-5071	179	44	γk1	γk1	NOUN
ejpam-5071	179	45	+	+	CCONJ
ejpam-5071	179	46	µ	µ	X
ejpam-5071	179	47	)	)	PUNCT
ejpam-5071	179	48	u4(x	u4(x	PROPN
ejpam-5071	179	49	)	)	PUNCT
ejpam-5071	179	50	=	=	SYM
ejpam-5071	180	1	∫	∫	PROPN
ejpam-5071	180	2	x	x	SYM
ejpam-5071	180	3	0	0	PROPN
ejpam-5071	181	1	tµ−1	tµ−1	VERB
ejpam-5071	181	2	xµ	xµ	PROPN
ejpam-5071	181	3	(	(	PUNCT
ejpam-5071	181	4	u0	u0	ADJ
ejpam-5071	181	5	+	+	NUM
ejpam-5071	181	6	u1	u1	NOUN
ejpam-5071	181	7	+	+	CCONJ
ejpam-5071	181	8	u2	u2	NOUN
ejpam-5071	181	9	+	+	CCONJ
ejpam-5071	181	10	u3)(t	u3)(t	NUM
ejpam-5071	181	11	)	)	PUNCT
ejpam-5071	181	12	βdt−	βdt−	NUM
ejpam-5071	182	1	3∑	3∑	NUM
ejpam-5071	182	2	i=1	i=1	NOUN
ejpam-5071	182	3	ui	ui	NOUN
ejpam-5071	183	1	=	=	NOUN
ejpam-5071	183	2	27a2	27a2	NUM
ejpam-5071	183	3	x6k1+γk1	x6k1+γk1	NOUN
ejpam-5071	183	4	(	(	PUNCT
ejpam-5071	183	5	2k1	2k1	NUM
ejpam-5071	183	6	+	+	ADJ
ejpam-5071	183	7	γk1	γk1	NOUN
ejpam-5071	183	8	+	+	CCONJ
ejpam-5071	183	9	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	183	10	+	+	CCONJ
ejpam-5071	183	11	γk1	γk1	NOUN
ejpam-5071	184	1	+	+	CCONJ
ejpam-5071	184	2	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	184	3	+	+	CCONJ
ejpam-5071	184	4	γk1	γk1	NOUN
ejpam-5071	184	5	+	+	CCONJ
ejpam-5071	184	6	µ	µ	X
ejpam-5071	184	7	)	)	PUNCT
ejpam-5071	184	8	u(x	u(x	PROPN
ejpam-5071	184	9	)	)	PUNCT
ejpam-5071	185	1	=	=	SYM
ejpam-5071	185	2	4∑	4∑	NUM
ejpam-5071	185	3	i=0	i=0	PROPN
ejpam-5071	185	4	ui	ui	PROPN
ejpam-5071	185	5	∴	∴	PROPN
ejpam-5071	185	6	u(x	u(x	PROPN
ejpam-5071	185	7	)	)	PUNCT
ejpam-5071	185	8	=	=	PUNCT
ejpam-5071	186	1	xk1	xk1	PROPN
ejpam-5071	186	2	2.2.3	2.2.3	NUM
ejpam-5071	186	3	.	.	PUNCT
ejpam-5071	186	4	solution	solution	NOUN
ejpam-5071	186	5	model	model	NOUN
ejpam-5071	186	6	for	for	ADP
ejpam-5071	186	7	4th	4th	ADJ
ejpam-5071	186	8	-order	-order	PROPN
ejpam-5071	186	9	nonlinear	nonlinear	ADJ
ejpam-5071	186	10	wsvie(γ	wsvie(γ	PRON
ejpam-5071	186	11	=	=	PUNCT
ejpam-5071	186	12	β	β	X
ejpam-5071	186	13	=	=	SYM
ejpam-5071	186	14	4	4	X
ejpam-5071	186	15	)	)	PUNCT
ejpam-5071	186	16	consider	consider	VERB
ejpam-5071	186	17	the	the	DET
ejpam-5071	186	18	4th	4th	ADJ
ejpam-5071	186	19	order	order	NOUN
ejpam-5071	186	20	wsvie	wsvie	NOUN
ejpam-5071	186	21	of	of	ADP
ejpam-5071	186	22	the	the	DET
ejpam-5071	186	23	form	form	NOUN
ejpam-5071	186	24	:	:	PUNCT
ejpam-5071	186	25	u(x	u(x	PROPN
ejpam-5071	186	26	)	)	PUNCT
ejpam-5071	186	27	=	=	SYM
ejpam-5071	186	28	a1(x	a1(x	NOUN
ejpam-5071	186	29	)	)	PUNCT
ejpam-5071	186	30	k1	k1	NOUN
ejpam-5071	186	31	+	+	CCONJ
ejpam-5071	186	32	a2(x	a2(x	NOUN
ejpam-5071	186	33	)	)	PUNCT
ejpam-5071	186	34	γk1	γk1	NOUN
ejpam-5071	187	1	+	+	CCONJ
ejpam-5071	187	2	∫	∫	PROPN
ejpam-5071	187	3	x	x	SYM
ejpam-5071	187	4	0	0	NUM
ejpam-5071	187	5	−	−	NOUN
ejpam-5071	187	6	tµ−1	tµ−1	NOUN
ejpam-5071	187	7	xµ	xµ	PROPN
ejpam-5071	187	8	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	187	9	,	,	PUNCT
ejpam-5071	187	10	γ	γ	X
ejpam-5071	187	11	=	=	SYM
ejpam-5071	187	12	β	β	X
ejpam-5071	187	13	=	=	SYM
ejpam-5071	187	14	3	3	NUM
ejpam-5071	187	15	,	,	PUNCT
ejpam-5071	187	16	µ	µ	X
ejpam-5071	187	17	>	>	SYM
ejpam-5071	187	18	0	0	PUNCT
ejpam-5071	187	19	and	and	CCONJ
ejpam-5071	187	20	k1	k1	PROPN
ejpam-5071	187	21	∈	∈	PROPN
ejpam-5071	187	22	q+(20	q+(20	VERB
ejpam-5071	187	23	)	)	PUNCT
ejpam-5071	187	24	truncation	truncation	NOUN
ejpam-5071	187	25	point	point	NOUN
ejpam-5071	187	26	is	be	AUX
ejpam-5071	187	27	given	give	VERB
ejpam-5071	187	28	by	by	ADP
ejpam-5071	187	29	,	,	PUNCT
ejpam-5071	187	30	un(x	un(x	NUM
ejpam-5071	187	31	)	)	PUNCT
ejpam-5071	187	32	=	=	SYM
ejpam-5071	187	33	anx	anx	ADJ
ejpam-5071	188	1	[	[	X
ejpam-5071	188	2	n(γ−1)+1]k1	n(γ−1)+1]k1	X
ejpam-5071	188	3	,	,	PUNCT
ejpam-5071	188	4	n	n	X
ejpam-5071	188	5	≥	≥	NOUN
ejpam-5071	188	6	2	2	NUM
ejpam-5071	188	7	u0(x	u0(x	NUM
ejpam-5071	188	8	)	)	PUNCT
ejpam-5071	188	9	=	=	SYM
ejpam-5071	188	10	f(x	f(x	PROPN
ejpam-5071	188	11	)	)	PUNCT
ejpam-5071	188	12	=	=	PUNCT
ejpam-5071	189	1	a1(x	a1(x	NOUN
ejpam-5071	189	2	)	)	PUNCT
ejpam-5071	189	3	k1	k1	NOUN
ejpam-5071	189	4	−	−	PROPN
ejpam-5071	189	5	a2(x	a2(x	PROPN
ejpam-5071	189	6	)	)	PUNCT
ejpam-5071	189	7	γk1	γk1	NOUN
ejpam-5071	189	8	=	=	SYM
ejpam-5071	189	9	xk1	xk1	PROPN
ejpam-5071	189	10	−	−	PROPN
ejpam-5071	189	11	xγk1	xγk1	PROPN
ejpam-5071	189	12	µ+	µ+	X
ejpam-5071	189	13	γk1	γk1	NOUN
ejpam-5071	189	14	where	where	SCONJ
ejpam-5071	189	15	,	,	PUNCT
ejpam-5071	189	16	a1	a1	NOUN
ejpam-5071	189	17	=	=	SYM
ejpam-5071	189	18	µ−	µ−	PROPN
ejpam-5071	189	19	(	(	PUNCT
ejpam-5071	189	20	µ−	µ−	PROPN
ejpam-5071	189	21	1	1	NUM
ejpam-5071	189	22	)	)	PUNCT
ejpam-5071	189	23	,	,	PUNCT
ejpam-5071	189	24	a2	a2	PROPN
ejpam-5071	189	25	=	=	PUNCT
ejpam-5071	189	26	1	1	NUM
ejpam-5071	189	27	µ+	µ+	PRON
ejpam-5071	189	28	γk1	γk1	ADJ
ejpam-5071	189	29	u1	u1	NOUN
ejpam-5071	189	30	=	=	SYM
ejpam-5071	189	31	∫	∫	PROPN
ejpam-5071	189	32	x	x	SYM
ejpam-5071	189	33	0	0	PROPN
ejpam-5071	189	34	tµ−1	tµ−1	VERB
ejpam-5071	189	35	xµ	xµ	PROPN
ejpam-5071	189	36	(	(	PUNCT
ejpam-5071	189	37	u0)(t	u0)(t	ADJ
ejpam-5071	189	38	)	)	PUNCT
ejpam-5071	189	39	βdt	βdt	NOUN
ejpam-5071	189	40	=	=	PUNCT
ejpam-5071	189	41	x4k1	x4k1	X
ejpam-5071	189	42	4k1	4k1	NUM
ejpam-5071	189	43	+	+	CCONJ
ejpam-5071	189	44	µ	µ	X
ejpam-5071	189	45	−	−	ADP
ejpam-5071	189	46	4a2	4a2	NUM
ejpam-5071	189	47	x3k1+γk1	x3k1+γk1	NOUN
ejpam-5071	189	48	3k1	3k1	NUM
ejpam-5071	189	49	+	+	CCONJ
ejpam-5071	189	50	γk1	γk1	X
ejpam-5071	189	51	+	+	CCONJ
ejpam-5071	189	52	µ	µ	X
ejpam-5071	189	53	+	+	X
ejpam-5071	189	54	6a22	6a22	NOUN
ejpam-5071	189	55	x2k1	x2k1	ADP
ejpam-5071	189	56	+	+	NOUN
ejpam-5071	189	57	2γk1(10	2γk1(10	NUM
ejpam-5071	189	58	)	)	PUNCT
ejpam-5071	189	59	2k1	2k1	NUM
ejpam-5071	189	60	+	+	CCONJ
ejpam-5071	189	61	2γk1	2γk1	NUM
ejpam-5071	189	62	+	+	NUM
ejpam-5071	189	63	µ	µ	X
ejpam-5071	189	64	−	−	NUM
ejpam-5071	189	65	4a32	4a32	NUM
ejpam-5071	189	66	xk1	xk1	PROPN
ejpam-5071	189	67	+	+	NOUN
ejpam-5071	189	68	3γk1	3γk1	NUM
ejpam-5071	189	69	k1	k1	NOUN
ejpam-5071	189	70	+	+	CCONJ
ejpam-5071	189	71	3γk1	3γk1	NUM
ejpam-5071	189	72	+	+	NUM
ejpam-5071	189	73	µ	µ	X
ejpam-5071	189	74	+	+	ADJ
ejpam-5071	189	75	a42	a42	NOUN
ejpam-5071	189	76	x4γk1	x4γk1	NOUN
ejpam-5071	189	77	4γk1	4γk1	NUM
ejpam-5071	189	78	+	+	NUM
ejpam-5071	189	79	µ	µ	PRON
ejpam-5071	189	80	u2	u2	NOUN
ejpam-5071	189	81	=	=	SYM
ejpam-5071	189	82	∫	∫	PROPN
ejpam-5071	189	83	x	x	SYM
ejpam-5071	189	84	0	0	PROPN
ejpam-5071	189	85	tµ−1	tµ−1	VERB
ejpam-5071	189	86	xµ	xµ	PROPN
ejpam-5071	190	1	(	(	PUNCT
ejpam-5071	190	2	u0	u0	PROPN
ejpam-5071	190	3	+	+	X
ejpam-5071	190	4	u1)(t	u1)(t	ADJ
ejpam-5071	190	5	)	)	PUNCT
ejpam-5071	190	6	βdt−	βdt−	NUM
ejpam-5071	190	7	u1	u1	NOUN
ejpam-5071	190	8	=	=	SYM
ejpam-5071	190	9	4a2	4a2	NUM
ejpam-5071	190	10	x3k1+γk1	x3k1+γk1	NOUN
ejpam-5071	190	11	3k1	3k1	NUM
ejpam-5071	190	12	+	+	CCONJ
ejpam-5071	190	13	γk1	γk1	ADJ
ejpam-5071	190	14	+	+	CCONJ
ejpam-5071	190	15	µ	µ	X
ejpam-5071	190	16	−	−	PRON
ejpam-5071	190	17	6a22	6a22	NOUN
ejpam-5071	190	18	x2k1	x2k1	PUNCT
ejpam-5071	190	19	+	+	NOUN
ejpam-5071	190	20	2γk1	2γk1	NUM
ejpam-5071	190	21	2k1	2k1	NUM
ejpam-5071	190	22	+	+	CCONJ
ejpam-5071	190	23	2γk1	2γk1	NUM
ejpam-5071	190	24	+	+	NUM
ejpam-5071	190	25	µ	µ	PROPN
ejpam-5071	190	26	k.	k.	PROPN
ejpam-5071	190	27	f.	f.	PROPN
ejpam-5071	190	28	sarfo	sarfo	PROPN
ejpam-5071	190	29	et	et	PROPN
ejpam-5071	190	30	al	al	PROPN
ejpam-5071	190	31	.	.	PUNCT
ejpam-5071	190	32	/	/	SYM
ejpam-5071	190	33	eur	eur	PROPN
ejpam-5071	190	34	.	.	PUNCT
ejpam-5071	191	1	j.	j.	PROPN
ejpam-5071	191	2	pure	pure	PROPN
ejpam-5071	191	3	appl	appl	PROPN
ejpam-5071	191	4	.	.	PROPN
ejpam-5071	191	5	math	math	PROPN
ejpam-5071	191	6	,	,	PUNCT
ejpam-5071	191	7	17	17	NUM
ejpam-5071	191	8	(	(	PUNCT
ejpam-5071	191	9	2	2	NUM
ejpam-5071	191	10	)	)	PUNCT
ejpam-5071	191	11	(	(	PUNCT
ejpam-5071	191	12	2024	2024	NUM
ejpam-5071	191	13	)	)	PUNCT
ejpam-5071	191	14	,	,	PUNCT
ejpam-5071	191	15	1046	1046	NUM
ejpam-5071	191	16	-	-	SYM
ejpam-5071	191	17	1069	1069	NUM
ejpam-5071	191	18	1055	1055	NUM
ejpam-5071	191	19	−16a2	−16a2	X
ejpam-5071	191	20	x6k1+γk1	x6k1+γk1	X
ejpam-5071	191	21	(	(	PUNCT
ejpam-5071	191	22	3k1	3k1	NUM
ejpam-5071	191	23	+	+	PUNCT
ejpam-5071	191	24	γk1	γk1	ADJ
ejpam-5071	192	1	+	+	CCONJ
ejpam-5071	192	2	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	192	3	+	+	CCONJ
ejpam-5071	192	4	γk1	γk1	NOUN
ejpam-5071	192	5	+	+	CCONJ
ejpam-5071	192	6	µ	µ	X
ejpam-5071	192	7	)	)	PUNCT
ejpam-5071	192	8	+	+	NUM
ejpam-5071	192	9	4a32	4a32	NUM
ejpam-5071	192	10	xk1	xk1	NUM
ejpam-5071	192	11	+	+	NOUN
ejpam-5071	192	12	3γk1	3γk1	NUM
ejpam-5071	192	13	(	(	PUNCT
ejpam-5071	192	14	k1	k1	X
ejpam-5071	192	15	+	+	CCONJ
ejpam-5071	192	16	3γk1	3γk1	NUM
ejpam-5071	192	17	+	+	ADJ
ejpam-5071	192	18	µ	µ	X
ejpam-5071	192	19	)	)	PUNCT
ejpam-5071	192	20	+24a32	+24a32	PRON
ejpam-5071	192	21	x5k1	x5k1	PROPN
ejpam-5071	192	22	+	+	NOUN
ejpam-5071	192	23	2γk1	2γk1	NUM
ejpam-5071	192	24	(	(	PUNCT
ejpam-5071	192	25	2k1	2k1	NUM
ejpam-5071	192	26	+	+	NUM
ejpam-5071	192	27	2γk1	2γk1	NUM
ejpam-5071	192	28	+	+	CCONJ
ejpam-5071	192	29	µ)(5k1	µ)(5k1	ADJ
ejpam-5071	192	30	+	+	CCONJ
ejpam-5071	192	31	2γk1	2γk1	NUM
ejpam-5071	192	32	+	+	NUM
ejpam-5071	192	33	µ	µ	X
ejpam-5071	192	34	)	)	PUNCT
ejpam-5071	192	35	−	−	PROPN
ejpam-5071	193	1	a42	a42	PROPN
ejpam-5071	193	2	x4γk1	x4γk1	NOUN
ejpam-5071	193	3	4γk1	4γk1	NUM
ejpam-5071	194	1	+	+	NUM
ejpam-5071	194	2	µ	µ	X
ejpam-5071	194	3	−16a32	−16a32	PRON
ejpam-5071	194	4	x4k1	x4k1	X
ejpam-5071	194	5	+	+	NOUN
ejpam-5071	194	6	3γk1	3γk1	NUM
ejpam-5071	194	7	(	(	PUNCT
ejpam-5071	194	8	k1	k1	X
ejpam-5071	194	9	+	+	CCONJ
ejpam-5071	194	10	3γk1	3γk1	NUM
ejpam-5071	194	11	+	+	CCONJ
ejpam-5071	194	12	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	194	13	+	+	CCONJ
ejpam-5071	194	14	3γk1	3γk1	NUM
ejpam-5071	194	15	+	+	ADJ
ejpam-5071	194	16	µ	µ	X
ejpam-5071	194	17	)	)	PUNCT
ejpam-5071	194	18	+	+	NUM
ejpam-5071	194	19	96a22	96a22	NUM
ejpam-5071	194	20	x8k1	x8k1	X
ejpam-5071	194	21	+	+	NOUN
ejpam-5071	194	22	2γk1	2γk1	NUM
ejpam-5071	194	23	(	(	PUNCT
ejpam-5071	194	24	3k1	3k1	NUM
ejpam-5071	194	25	+	+	X
ejpam-5071	194	26	γk1	γk1	NOUN
ejpam-5071	194	27	+	+	CCONJ
ejpam-5071	194	28	µ)2(8k1	µ)2(8k1	X
ejpam-5071	194	29	+	+	CCONJ
ejpam-5071	194	30	2γk1	2γk1	NUM
ejpam-5071	194	31	+	+	SYM
ejpam-5071	194	32	µ	µ	X
ejpam-5071	194	33	)	)	PUNCT
ejpam-5071	194	34	(	(	PUNCT
ejpam-5071	194	35	21	21	NUM
ejpam-5071	194	36	)	)	PUNCT
ejpam-5071	194	37	u3(x	u3(x	PROPN
ejpam-5071	194	38	)	)	PUNCT
ejpam-5071	194	39	=	=	SYM
ejpam-5071	194	40	∫	∫	PROPN
ejpam-5071	194	41	x	x	SYM
ejpam-5071	194	42	0	0	PROPN
ejpam-5071	194	43	tµ−1	tµ−1	VERB
ejpam-5071	194	44	xµ	xµ	PROPN
ejpam-5071	194	45	(	(	PUNCT
ejpam-5071	194	46	u0	u0	ADJ
ejpam-5071	194	47	+	+	NUM
ejpam-5071	194	48	u1	u1	NOUN
ejpam-5071	194	49	+	+	CCONJ
ejpam-5071	194	50	u2)(t	u2)(t	PROPN
ejpam-5071	194	51	)	)	PUNCT
ejpam-5071	194	52	βdt−	βdt−	NUM
ejpam-5071	194	53	2∑	2∑	NUM
ejpam-5071	194	54	i=0	i=0	PROPN
ejpam-5071	194	55	ui	ui	NOUN
ejpam-5071	195	1	=	=	NOUN
ejpam-5071	195	2	16a2	16a2	NUM
ejpam-5071	195	3	x6k1+γk1	x6k1+γk1	NOUN
ejpam-5071	195	4	(	(	PUNCT
ejpam-5071	195	5	3k1	3k1	NUM
ejpam-5071	195	6	+	+	PUNCT
ejpam-5071	195	7	γk1	γk1	ADJ
ejpam-5071	196	1	+	+	CCONJ
ejpam-5071	196	2	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	196	3	+	+	CCONJ
ejpam-5071	196	4	γk1	γk1	NOUN
ejpam-5071	196	5	+	+	CCONJ
ejpam-5071	196	6	µ	µ	X
ejpam-5071	196	7	)	)	PUNCT
ejpam-5071	196	8	−	−	NOUN
ejpam-5071	196	9	24a32	24a32	NUM
ejpam-5071	196	10	x5k1	x5k1	PROPN
ejpam-5071	196	11	+	+	NOUN
ejpam-5071	196	12	2γk1	2γk1	NUM
ejpam-5071	196	13	(	(	PUNCT
ejpam-5071	196	14	2k1	2k1	NUM
ejpam-5071	196	15	+	+	NUM
ejpam-5071	196	16	2γk1	2γk1	NUM
ejpam-5071	196	17	+	+	CCONJ
ejpam-5071	196	18	µ)(5k1	µ)(5k1	ADJ
ejpam-5071	196	19	+	+	CCONJ
ejpam-5071	196	20	2γk1	2γk1	NUM
ejpam-5071	196	21	+	+	SYM
ejpam-5071	196	22	µ	µ	X
ejpam-5071	196	23	)	)	PUNCT
ejpam-5071	196	24	−64a2	−64a2	X
ejpam-5071	196	25	x9k1+γk1	x9k1+γk1	NOUN
ejpam-5071	196	26	(	(	PUNCT
ejpam-5071	196	27	3k1	3k1	NUM
ejpam-5071	196	28	+	+	PUNCT
ejpam-5071	196	29	γk1	γk1	ADJ
ejpam-5071	196	30	+	+	CCONJ
ejpam-5071	196	31	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	196	32	+	+	CCONJ
ejpam-5071	196	33	γk1	γk1	NOUN
ejpam-5071	196	34	+	+	CCONJ
ejpam-5071	196	35	µ)(9k1	µ)(9k1	PRON
ejpam-5071	196	36	+	+	ADJ
ejpam-5071	196	37	γk1	γk1	NOUN
ejpam-5071	196	38	+	+	CCONJ
ejpam-5071	196	39	µ	µ	X
ejpam-5071	196	40	)	)	PUNCT
ejpam-5071	196	41	+16a32	+16a32	PRON
ejpam-5071	196	42	x4k1	x4k1	X
ejpam-5071	196	43	+	+	NOUN
ejpam-5071	196	44	3γk1	3γk1	NUM
ejpam-5071	196	45	(	(	PUNCT
ejpam-5071	196	46	k1	k1	X
ejpam-5071	196	47	+	+	CCONJ
ejpam-5071	196	48	3γk1	3γk1	NUM
ejpam-5071	196	49	+	+	CCONJ
ejpam-5071	196	50	µ)(4k1	µ)(4k1	NOUN
ejpam-5071	196	51	+	+	CCONJ
ejpam-5071	196	52	3γk1	3γk1	NUM
ejpam-5071	196	53	+	+	ADJ
ejpam-5071	196	54	µ	µ	X
ejpam-5071	196	55	)	)	PUNCT
ejpam-5071	196	56	+96a22	+96a22	NOUN
ejpam-5071	196	57	x8k1	x8k1	PUNCT
ejpam-5071	196	58	+	+	NOUN
ejpam-5071	196	59	2γk1	2γk1	NUM
ejpam-5071	196	60	(	(	PUNCT
ejpam-5071	196	61	2k1	2k1	NUM
ejpam-5071	196	62	+	+	NUM
ejpam-5071	196	63	2γk1	2γk1	NUM
ejpam-5071	196	64	+	+	CCONJ
ejpam-5071	196	65	µ)(5k1	µ)(5k1	ADJ
ejpam-5071	196	66	+	+	CCONJ
ejpam-5071	196	67	2γk1	2γk1	NUM
ejpam-5071	196	68	+	+	CCONJ
ejpam-5071	196	69	µ)(8k1	µ)(8k1	X
ejpam-5071	196	70	+	+	CCONJ
ejpam-5071	196	71	2γk1	2γk1	NUM
ejpam-5071	196	72	+	+	SYM
ejpam-5071	196	73	µ	µ	X
ejpam-5071	196	74	)	)	PUNCT
ejpam-5071	196	75	−96a22	−96a22	PROPN
ejpam-5071	196	76	x8k1	x8k1	PUNCT
ejpam-5071	196	77	+	+	NOUN
ejpam-5071	196	78	2γk1	2γk1	NUM
ejpam-5071	196	79	(	(	PUNCT
ejpam-5071	196	80	3k1	3k1	NUM
ejpam-5071	196	81	+	+	X
ejpam-5071	196	82	γk1	γk1	NOUN
ejpam-5071	196	83	+	+	CCONJ
ejpam-5071	196	84	µ)2(8k1	µ)2(8k1	X
ejpam-5071	196	85	+	+	CCONJ
ejpam-5071	196	86	2γk1	2γk1	NUM
ejpam-5071	196	87	+	+	SYM
ejpam-5071	196	88	µ	µ	X
ejpam-5071	196	89	)	)	PUNCT
ejpam-5071	196	90	u4(x	u4(x	PROPN
ejpam-5071	196	91	)	)	PUNCT
ejpam-5071	196	92	=	=	SYM
ejpam-5071	197	1	∫	∫	PROPN
ejpam-5071	197	2	x	x	SYM
ejpam-5071	197	3	0	0	PROPN
ejpam-5071	198	1	tµ−1	tµ−1	VERB
ejpam-5071	198	2	xµ	xµ	PROPN
ejpam-5071	198	3	(	(	PUNCT
ejpam-5071	198	4	u0	u0	ADJ
ejpam-5071	198	5	+	+	NUM
ejpam-5071	198	6	u1	u1	NOUN
ejpam-5071	198	7	+	+	CCONJ
ejpam-5071	198	8	u2	u2	NOUN
ejpam-5071	198	9	+	+	CCONJ
ejpam-5071	198	10	u3)(t	u3)(t	NUM
ejpam-5071	198	11	)	)	PUNCT
ejpam-5071	198	12	βdt−	βdt−	NUM
ejpam-5071	199	1	3∑	3∑	NUM
ejpam-5071	199	2	i=1	i=1	NOUN
ejpam-5071	199	3	ui	ui	PROPN
ejpam-5071	200	1	=	=	PUNCT
ejpam-5071	200	2	64a2	64a2	NUM
ejpam-5071	200	3	x9k1+γk1	x9k1+γk1	NOUN
ejpam-5071	200	4	(	(	PUNCT
ejpam-5071	200	5	3k1	3k1	NUM
ejpam-5071	200	6	+	+	PUNCT
ejpam-5071	200	7	γk1	γk1	ADJ
ejpam-5071	201	1	+	+	CCONJ
ejpam-5071	201	2	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	201	3	+	+	CCONJ
ejpam-5071	201	4	γk1	γk1	NOUN
ejpam-5071	201	5	+	+	CCONJ
ejpam-5071	201	6	µ)(9k1	µ)(9k1	PRON
ejpam-5071	201	7	+	+	ADJ
ejpam-5071	201	8	γk1	γk1	NOUN
ejpam-5071	201	9	+	+	CCONJ
ejpam-5071	201	10	µ	µ	X
ejpam-5071	201	11	)	)	PUNCT
ejpam-5071	201	12	−96a22	−96a22	PROPN
ejpam-5071	201	13	x8k1	x8k1	PUNCT
ejpam-5071	201	14	+	+	NOUN
ejpam-5071	201	15	2γk1	2γk1	NUM
ejpam-5071	201	16	(	(	PUNCT
ejpam-5071	201	17	2k1	2k1	NUM
ejpam-5071	201	18	+	+	NUM
ejpam-5071	201	19	2γk1	2γk1	NUM
ejpam-5071	201	20	+	+	CCONJ
ejpam-5071	201	21	µ)(5k1	µ)(5k1	ADJ
ejpam-5071	201	22	+	+	CCONJ
ejpam-5071	201	23	2γk1	2γk1	NUM
ejpam-5071	201	24	+	+	CCONJ
ejpam-5071	201	25	µ)(8k1	µ)(8k1	X
ejpam-5071	201	26	+	+	CCONJ
ejpam-5071	201	27	2γk1	2γk1	NUM
ejpam-5071	201	28	+	+	SYM
ejpam-5071	201	29	µ	µ	X
ejpam-5071	201	30	)	)	PUNCT
ejpam-5071	201	31	−256a2	−256a2	PROPN
ejpam-5071	201	32	x12k1+γk1	x12k1+γk1	PROPN
ejpam-5071	201	33	(	(	PUNCT
ejpam-5071	201	34	3k1	3k1	NUM
ejpam-5071	201	35	+	+	X
ejpam-5071	201	36	γk1	γk1	ADJ
ejpam-5071	201	37	+	+	CCONJ
ejpam-5071	201	38	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	201	39	+	+	CCONJ
ejpam-5071	201	40	γk1	γk1	NOUN
ejpam-5071	201	41	+	+	CCONJ
ejpam-5071	201	42	µ)(9k1	µ)(9k1	PRON
ejpam-5071	201	43	+	+	ADJ
ejpam-5071	201	44	γk1	γk1	ADJ
ejpam-5071	201	45	+	+	NUM
ejpam-5071	201	46	µ)(12k1	µ)(12k1	NOUN
ejpam-5071	201	47	+	+	X
ejpam-5071	201	48	γk1	γk1	NOUN
ejpam-5071	201	49	+	+	CCONJ
ejpam-5071	201	50	µ	µ	X
ejpam-5071	201	51	)	)	PUNCT
ejpam-5071	201	52	u5(x	u5(x	NOUN
ejpam-5071	201	53	)	)	PUNCT
ejpam-5071	201	54	=	=	SYM
ejpam-5071	202	1	∫	∫	PROPN
ejpam-5071	202	2	x	x	SYM
ejpam-5071	202	3	0	0	PROPN
ejpam-5071	203	1	tµ−1	tµ−1	VERB
ejpam-5071	203	2	xµ	xµ	PROPN
ejpam-5071	203	3	(	(	PUNCT
ejpam-5071	203	4	u0	u0	ADJ
ejpam-5071	203	5	+	+	NUM
ejpam-5071	203	6	u1	u1	NOUN
ejpam-5071	203	7	+	+	CCONJ
ejpam-5071	203	8	u2	u2	NOUN
ejpam-5071	203	9	+	+	CCONJ
ejpam-5071	203	10	u3	u3	NOUN
ejpam-5071	203	11	+	+	CCONJ
ejpam-5071	203	12	u4)(t	u4)(t	PROPN
ejpam-5071	203	13	)	)	PUNCT
ejpam-5071	203	14	βdt−	βdt−	NUM
ejpam-5071	203	15	4∑	4∑	NUM
ejpam-5071	203	16	i=1	i=1	PROPN
ejpam-5071	203	17	ui	ui	PROPN
ejpam-5071	203	18	−256a2	−256a2	PROPN
ejpam-5071	203	19	x12k1+γk1	x12k1+γk1	PROPN
ejpam-5071	203	20	(	(	PUNCT
ejpam-5071	203	21	3k1	3k1	NUM
ejpam-5071	203	22	+	+	X
ejpam-5071	203	23	γk1	γk1	ADJ
ejpam-5071	204	1	+	+	CCONJ
ejpam-5071	204	2	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	204	3	+	+	CCONJ
ejpam-5071	204	4	γk1	γk1	NOUN
ejpam-5071	204	5	+	+	CCONJ
ejpam-5071	204	6	µ)(9k1	µ)(9k1	PRON
ejpam-5071	204	7	+	+	ADJ
ejpam-5071	204	8	γk1	γk1	ADJ
ejpam-5071	204	9	+	+	NUM
ejpam-5071	204	10	µ)(12k1	µ)(12k1	NOUN
ejpam-5071	204	11	+	+	X
ejpam-5071	204	12	γk1	γk1	NOUN
ejpam-5071	204	13	+	+	CCONJ
ejpam-5071	204	14	µ	µ	X
ejpam-5071	204	15	)	)	PUNCT
ejpam-5071	204	16	u(x	u(x	PROPN
ejpam-5071	204	17	)	)	PUNCT
ejpam-5071	204	18	=	=	PUNCT
ejpam-5071	205	1	5∑	5∑	NUM
ejpam-5071	205	2	i=0	i=0	PROPN
ejpam-5071	205	3	ui	ui	PROPN
ejpam-5071	205	4	∴	∴	PROPN
ejpam-5071	205	5	u(x	u(x	PROPN
ejpam-5071	205	6	)	)	PUNCT
ejpam-5071	205	7	=	=	SYM
ejpam-5071	206	1	xk1	xk1	PROPN
ejpam-5071	206	2	(	(	PUNCT
ejpam-5071	206	3	22	22	NUM
ejpam-5071	206	4	)	)	PUNCT
ejpam-5071	206	5	k.	k.	PROPN
ejpam-5071	207	1	f.	f.	PROPN
ejpam-5071	207	2	sarfo	sarfo	PROPN
ejpam-5071	207	3	et	et	PROPN
ejpam-5071	207	4	al	al	PROPN
ejpam-5071	207	5	.	.	PUNCT
ejpam-5071	207	6	/	/	SYM
ejpam-5071	207	7	eur	eur	PROPN
ejpam-5071	207	8	.	.	PUNCT
ejpam-5071	208	1	j.	j.	PROPN
ejpam-5071	208	2	pure	pure	PROPN
ejpam-5071	208	3	appl	appl	PROPN
ejpam-5071	208	4	.	.	PROPN
ejpam-5071	208	5	math	math	PROPN
ejpam-5071	208	6	,	,	PUNCT
ejpam-5071	208	7	17	17	NUM
ejpam-5071	208	8	(	(	PUNCT
ejpam-5071	208	9	2	2	NUM
ejpam-5071	208	10	)	)	PUNCT
ejpam-5071	208	11	(	(	PUNCT
ejpam-5071	208	12	2024	2024	NUM
ejpam-5071	208	13	)	)	PUNCT
ejpam-5071	208	14	,	,	PUNCT
ejpam-5071	208	15	1046	1046	NUM
ejpam-5071	208	16	-	-	SYM
ejpam-5071	208	17	1069	1069	NUM
ejpam-5071	208	18	1056	1056	NUM
ejpam-5071	208	19	2.2.4	2.2.4	NUM
ejpam-5071	208	20	.	.	PUNCT
ejpam-5071	208	21	solution	solution	NOUN
ejpam-5071	208	22	model	model	NOUN
ejpam-5071	208	23	for	for	ADP
ejpam-5071	208	24	5th	5th	ADJ
ejpam-5071	208	25	-order	-order	NOUN
ejpam-5071	208	26	nonlinear	nonlinear	ADJ
ejpam-5071	208	27	wsvie(γ	wsvie(γ	PRON
ejpam-5071	208	28	=	=	PUNCT
ejpam-5071	208	29	β	β	X
ejpam-5071	208	30	=	=	SYM
ejpam-5071	208	31	5	5	X
ejpam-5071	208	32	)	)	PUNCT
ejpam-5071	208	33	consider	consider	VERB
ejpam-5071	208	34	the	the	DET
ejpam-5071	208	35	general	general	ADJ
ejpam-5071	208	36	forcing	force	VERB
ejpam-5071	208	37	function	function	NOUN
ejpam-5071	208	38	for	for	ADP
ejpam-5071	208	39	a	a	DET
ejpam-5071	208	40	unique	unique	ADJ
ejpam-5071	208	41	solution	solution	NOUN
ejpam-5071	208	42	of	of	ADP
ejpam-5071	208	43	wsvie	wsvie	NOUN
ejpam-5071	208	44	given	give	VERB
ejpam-5071	208	45	by	by	ADP
ejpam-5071	208	46	:	:	PUNCT
ejpam-5071	208	47	u(x	u(x	PROPN
ejpam-5071	208	48	)	)	PUNCT
ejpam-5071	208	49	=	=	PUNCT
ejpam-5071	209	1	xk1	xk1	PROPN
ejpam-5071	209	2	−	−	PROPN
ejpam-5071	209	3	xγk1	xγk1	PROPN
ejpam-5071	209	4	µ+	µ+	X
ejpam-5071	209	5	γk1	γk1	NOUN
ejpam-5071	209	6	+	+	CCONJ
ejpam-5071	209	7	∫	∫	PROPN
ejpam-5071	209	8	x	x	SYM
ejpam-5071	209	9	0	0	PROPN
ejpam-5071	209	10	tµ−1	tµ−1	VERB
ejpam-5071	209	11	xµ	xµ	PROPN
ejpam-5071	209	12	uβ(t)dtγ	uβ(t)dtγ	PROPN
ejpam-5071	210	1	=	=	PUNCT
ejpam-5071	210	2	β	β	X
ejpam-5071	210	3	=	=	SYM
ejpam-5071	210	4	3	3	NUM
ejpam-5071	210	5	,	,	PUNCT
ejpam-5071	210	6	µ	µ	X
ejpam-5071	210	7	>	>	SYM
ejpam-5071	210	8	0	0	PUNCT
ejpam-5071	210	9	and	and	CCONJ
ejpam-5071	210	10	k1	k1	PROPN
ejpam-5071	210	11	∈	∈	PROPN
ejpam-5071	210	12	q+	q+	PUNCT
ejpam-5071	210	13	(	(	PUNCT
ejpam-5071	210	14	23	23	NUM
ejpam-5071	210	15	)	)	PUNCT
ejpam-5071	210	16	truncation	truncation	NOUN
ejpam-5071	210	17	point	point	NOUN
ejpam-5071	210	18	is	be	AUX
ejpam-5071	210	19	given	give	VERB
ejpam-5071	210	20	by	by	ADP
ejpam-5071	210	21	,	,	PUNCT
ejpam-5071	210	22	un(x	un(x	NUM
ejpam-5071	210	23	)	)	PUNCT
ejpam-5071	210	24	=	=	SYM
ejpam-5071	210	25	anx	anx	ADJ
ejpam-5071	211	1	[	[	X
ejpam-5071	211	2	n(γ−1)+1]k1	n(γ−1)+1]k1	X
ejpam-5071	211	3	,	,	PUNCT
ejpam-5071	211	4	n	n	X
ejpam-5071	211	5	≥	≥	NOUN
ejpam-5071	211	6	2	2	NUM
ejpam-5071	211	7	u0(x	u0(x	NUM
ejpam-5071	211	8	)	)	PUNCT
ejpam-5071	211	9	=	=	SYM
ejpam-5071	211	10	f(x	f(x	PROPN
ejpam-5071	211	11	)	)	PUNCT
ejpam-5071	211	12	=	=	PUNCT
ejpam-5071	212	1	a1(x	a1(x	NOUN
ejpam-5071	212	2	)	)	PUNCT
ejpam-5071	212	3	k1	k1	NOUN
ejpam-5071	212	4	+	+	CCONJ
ejpam-5071	212	5	a2(x	a2(x	NOUN
ejpam-5071	212	6	)	)	PUNCT
ejpam-5071	212	7	γk1	γk1	NOUN
ejpam-5071	213	1	=	=	SYM
ejpam-5071	213	2	xk1	xk1	PROPN
ejpam-5071	213	3	−	−	PROPN
ejpam-5071	213	4	xγk1	xγk1	PROPN
ejpam-5071	213	5	µ+	µ+	X
ejpam-5071	213	6	γk1	γk1	NOUN
ejpam-5071	213	7	where	where	SCONJ
ejpam-5071	213	8	,	,	PUNCT
ejpam-5071	213	9	a1	a1	NOUN
ejpam-5071	213	10	=	=	SYM
ejpam-5071	213	11	µ−	µ−	PROPN
ejpam-5071	213	12	(	(	PUNCT
ejpam-5071	213	13	µ−	µ−	PROPN
ejpam-5071	213	14	1	1	NUM
ejpam-5071	213	15	)	)	PUNCT
ejpam-5071	213	16	,	,	PUNCT
ejpam-5071	213	17	a2	a2	PROPN
ejpam-5071	213	18	=	=	PUNCT
ejpam-5071	213	19	1	1	NUM
ejpam-5071	213	20	µ+	µ+	ADJ
ejpam-5071	213	21	γk1	γk1	NOUN
ejpam-5071	213	22	u1(x	u1(x	ADV
ejpam-5071	213	23	)	)	PUNCT
ejpam-5071	213	24	=	=	SYM
ejpam-5071	214	1	∫	∫	PROPN
ejpam-5071	214	2	x	x	SYM
ejpam-5071	214	3	0	0	PROPN
ejpam-5071	214	4	tµ−1	tµ−1	VERB
ejpam-5071	214	5	xµ	xµ	PROPN
ejpam-5071	214	6	(	(	PUNCT
ejpam-5071	214	7	u0	u0	PROPN
ejpam-5071	214	8	)	)	PUNCT
ejpam-5071	214	9	β(t)dt	β(t)dt	PUNCT
ejpam-5071	214	10	=	=	PUNCT
ejpam-5071	214	11	x5k1	x5k1	PUNCT
ejpam-5071	214	12	5k1	5k1	NUM
ejpam-5071	214	13	+	+	SYM
ejpam-5071	214	14	µ	µ	PRON
ejpam-5071	214	15	−	−	NOUN
ejpam-5071	214	16	5a2	5a2	ADV
ejpam-5071	214	17	x4k1+γk1	x4k1+γk1	NOUN
ejpam-5071	214	18	4k1	4k1	NUM
ejpam-5071	214	19	+	+	PUNCT
ejpam-5071	214	20	γk1	γk1	NOUN
ejpam-5071	214	21	+	+	CCONJ
ejpam-5071	214	22	µ	µ	X
ejpam-5071	214	23	+	+	X
ejpam-5071	214	24	10a22	10a22	NUM
ejpam-5071	214	25	x3k1	x3k1	PUNCT
ejpam-5071	214	26	+	+	NOUN
ejpam-5071	214	27	2γk1	2γk1	NUM
ejpam-5071	214	28	3k1	3k1	NUM
ejpam-5071	214	29	+	+	CCONJ
ejpam-5071	214	30	2γk1	2γk1	NUM
ejpam-5071	214	31	+	+	NUM
ejpam-5071	214	32	µ	µ	X
ejpam-5071	214	33	−a32	−a32	X
ejpam-5071	214	34	x2k1	x2k1	PUNCT
ejpam-5071	214	35	+	+	PROPN
ejpam-5071	214	36	3γk1	3γk1	NUM
ejpam-5071	214	37	2k1	2k1	NUM
ejpam-5071	214	38	+	+	CCONJ
ejpam-5071	214	39	3γk1	3γk1	NUM
ejpam-5071	214	40	+	+	NUM
ejpam-5071	214	41	µ	µ	X
ejpam-5071	214	42	+	+	NUM
ejpam-5071	214	43	5a42	5a42	NOUN
ejpam-5071	215	1	xk1	xk1	ADJ
ejpam-5071	215	2	+	+	NOUN
ejpam-5071	215	3	4γk1	4γk1	NUM
ejpam-5071	215	4	k1	k1	NOUN
ejpam-5071	215	5	+	+	CCONJ
ejpam-5071	215	6	4γk1	4γk1	NUM
ejpam-5071	215	7	+	+	NUM
ejpam-5071	215	8	µ	µ	X
ejpam-5071	215	9	+	+	CCONJ
ejpam-5071	215	10	...	...	PUNCT
ejpam-5071	215	11	u2(x	u2(x	X
ejpam-5071	215	12	)	)	PUNCT
ejpam-5071	215	13	=	=	SYM
ejpam-5071	216	1	∫	∫	PROPN
ejpam-5071	216	2	x	x	SYM
ejpam-5071	216	3	0	0	PROPN
ejpam-5071	217	1	tµ−1	tµ−1	VERB
ejpam-5071	217	2	xµ	xµ	PROPN
ejpam-5071	217	3	(	(	PUNCT
ejpam-5071	217	4	u0	u0	PROPN
ejpam-5071	217	5	+	+	X
ejpam-5071	217	6	u1)(t	u1)(t	ADJ
ejpam-5071	217	7	)	)	PUNCT
ejpam-5071	217	8	βdt−	βdt−	NUM
ejpam-5071	217	9	u1	u1	NOUN
ejpam-5071	217	10	=	=	SYM
ejpam-5071	217	11	5a2	5a2	NUM
ejpam-5071	217	12	x4k1+γk1	x4k1+γk1	VERB
ejpam-5071	217	13	4k1	4k1	NUM
ejpam-5071	218	1	+	+	PUNCT
ejpam-5071	218	2	γk1	γk1	NOUN
ejpam-5071	218	3	+	+	CCONJ
ejpam-5071	218	4	µ	µ	PRON
ejpam-5071	218	5	−	−	NUM
ejpam-5071	218	6	10a22	10a22	NUM
ejpam-5071	218	7	x3k1	x3k1	PUNCT
ejpam-5071	218	8	+	+	NOUN
ejpam-5071	218	9	2γk1	2γk1	NUM
ejpam-5071	218	10	3k1	3k1	NUM
ejpam-5071	218	11	+	+	CCONJ
ejpam-5071	218	12	2γk1	2γk1	NUM
ejpam-5071	218	13	+	+	NUM
ejpam-5071	218	14	µ	µ	DET
ejpam-5071	218	15	−25a2	−25a2	NUM
ejpam-5071	218	16	x8k1+γk1	x8k1+γk1	NUM
ejpam-5071	218	17	(	(	PUNCT
ejpam-5071	218	18	4k1	4k1	NUM
ejpam-5071	218	19	+	+	PUNCT
ejpam-5071	218	20	γk1	γk1	ADJ
ejpam-5071	218	21	+	+	CCONJ
ejpam-5071	218	22	µ)(8k1	µ)(8k1	X
ejpam-5071	218	23	+	+	CCONJ
ejpam-5071	218	24	γk1	γk1	NOUN
ejpam-5071	218	25	+	+	CCONJ
ejpam-5071	218	26	µ	µ	X
ejpam-5071	218	27	)	)	PUNCT
ejpam-5071	218	28	+	+	NUM
ejpam-5071	218	29	10a32	10a32	NUM
ejpam-5071	218	30	x2k1	x2k1	PUNCT
ejpam-5071	218	31	+	+	NOUN
ejpam-5071	218	32	3γk1	3γk1	NUM
ejpam-5071	218	33	2k1	2k1	NUM
ejpam-5071	218	34	+	+	CCONJ
ejpam-5071	218	35	3γk1	3γk1	NUM
ejpam-5071	218	36	+	+	NUM
ejpam-5071	218	37	µ	µ	PRON
ejpam-5071	218	38	+50a22	+50a22	NOUN
ejpam-5071	218	39	x7k1	x7k1	PUNCT
ejpam-5071	218	40	+	+	NOUN
ejpam-5071	218	41	2γk1	2γk1	NUM
ejpam-5071	218	42	(	(	PUNCT
ejpam-5071	218	43	3k1	3k1	NUM
ejpam-5071	218	44	+	+	CCONJ
ejpam-5071	218	45	2γk1	2γk1	NUM
ejpam-5071	218	46	+	+	CCONJ
ejpam-5071	218	47	µ)(7k1	µ)(7k1	PROPN
ejpam-5071	218	48	+	+	NUM
ejpam-5071	218	49	2γk1	2γk1	NUM
ejpam-5071	218	50	+	+	NUM
ejpam-5071	218	51	µ	µ	X
ejpam-5071	218	52	)	)	PUNCT
ejpam-5071	218	53	−	−	NUM
ejpam-5071	218	54	5a42	5a42	NOUN
ejpam-5071	219	1	xk1	xk1	NOUN
ejpam-5071	219	2	+	+	NOUN
ejpam-5071	219	3	4γk1	4γk1	NUM
ejpam-5071	219	4	k1	k1	NOUN
ejpam-5071	219	5	+	+	CCONJ
ejpam-5071	219	6	4γk1	4γk1	NUM
ejpam-5071	219	7	+	+	NUM
ejpam-5071	219	8	µ	µ	X
ejpam-5071	219	9	−50a32	−50a32	NUM
ejpam-5071	219	10	x6k1	x6k1	PUNCT
ejpam-5071	219	11	+	+	NOUN
ejpam-5071	219	12	3γk1	3γk1	NUM
ejpam-5071	219	13	(	(	PUNCT
ejpam-5071	219	14	2k1	2k1	NUM
ejpam-5071	219	15	+	+	CCONJ
ejpam-5071	219	16	3γk1	3γk1	NUM
ejpam-5071	219	17	+	+	CCONJ
ejpam-5071	219	18	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	219	19	+	+	CCONJ
ejpam-5071	219	20	3γk1	3γk1	NUM
ejpam-5071	219	21	+	+	ADJ
ejpam-5071	219	22	µ	µ	X
ejpam-5071	219	23	)	)	PUNCT
ejpam-5071	219	24	+250a22	+250a22	PROPN
ejpam-5071	219	25	x11k1	x11k1	NOUN
ejpam-5071	219	26	+	+	NOUN
ejpam-5071	219	27	2γk1	2γk1	NUM
ejpam-5071	219	28	(	(	PUNCT
ejpam-5071	219	29	4k1	4k1	NUM
ejpam-5071	219	30	+	+	X
ejpam-5071	219	31	γk1	γk1	NOUN
ejpam-5071	219	32	+	+	CCONJ
ejpam-5071	219	33	µ)2(11k1	µ)2(11k1	NOUN
ejpam-5071	219	34	+	+	CCONJ
ejpam-5071	219	35	2γk1	2γk1	NUM
ejpam-5071	219	36	+	+	CCONJ
ejpam-5071	219	37	µ	µ	X
ejpam-5071	219	38	)	)	PUNCT
ejpam-5071	219	39	u3(x	u3(x	PROPN
ejpam-5071	219	40	)	)	PUNCT
ejpam-5071	219	41	=	=	SYM
ejpam-5071	220	1	∫	∫	PROPN
ejpam-5071	220	2	x	x	SYM
ejpam-5071	220	3	0	0	PROPN
ejpam-5071	221	1	tµ−1	tµ−1	VERB
ejpam-5071	221	2	xµ	xµ	PROPN
ejpam-5071	221	3	(	(	PUNCT
ejpam-5071	221	4	u0	u0	ADJ
ejpam-5071	221	5	+	+	NUM
ejpam-5071	221	6	u1	u1	NOUN
ejpam-5071	221	7	+	+	CCONJ
ejpam-5071	221	8	u2)(t	u2)(t	PROPN
ejpam-5071	221	9	)	)	PUNCT
ejpam-5071	221	10	βdt−	βdt−	NUM
ejpam-5071	221	11	2∑	2∑	NUM
ejpam-5071	221	12	i=1	i=1	X
ejpam-5071	221	13	ui	ui	PROPN
ejpam-5071	222	1	=	=	NOUN
ejpam-5071	222	2	25a2	25a2	NUM
ejpam-5071	222	3	x8k1+γk1	x8k1+γk1	NOUN
ejpam-5071	222	4	(	(	PUNCT
ejpam-5071	222	5	4k1	4k1	NUM
ejpam-5071	222	6	+	+	PUNCT
ejpam-5071	222	7	γk1	γk1	ADJ
ejpam-5071	222	8	+	+	CCONJ
ejpam-5071	222	9	µ)(8k1	µ)(8k1	X
ejpam-5071	222	10	+	+	CCONJ
ejpam-5071	222	11	γk1	γk1	NOUN
ejpam-5071	222	12	+	+	CCONJ
ejpam-5071	222	13	µ	µ	X
ejpam-5071	222	14	)	)	PUNCT
ejpam-5071	222	15	−50a22	−50a22	PROPN
ejpam-5071	222	16	x7k1	x7k1	PUNCT
ejpam-5071	222	17	+	+	NOUN
ejpam-5071	222	18	2γk1	2γk1	NUM
ejpam-5071	222	19	(	(	PUNCT
ejpam-5071	222	20	3k1	3k1	NUM
ejpam-5071	222	21	+	+	CCONJ
ejpam-5071	222	22	2γk1	2γk1	NUM
ejpam-5071	223	1	+	+	CCONJ
ejpam-5071	223	2	µ)(7k1	µ)(7k1	PROPN
ejpam-5071	223	3	+	+	NUM
ejpam-5071	223	4	2γk1	2γk1	NUM
ejpam-5071	223	5	+	+	SYM
ejpam-5071	223	6	µ	µ	X
ejpam-5071	223	7	)	)	PUNCT
ejpam-5071	223	8	−125a2	−125a2	PROPN
ejpam-5071	223	9	x12k1+γk1	x12k1+γk1	PROPN
ejpam-5071	223	10	(	(	PUNCT
ejpam-5071	223	11	4k1	4k1	NUM
ejpam-5071	223	12	+	+	X
ejpam-5071	223	13	γk1	γk1	ADJ
ejpam-5071	223	14	+	+	CCONJ
ejpam-5071	223	15	µ)(8k1	µ)(8k1	X
ejpam-5071	223	16	+	+	CCONJ
ejpam-5071	223	17	γk1	γk1	ADJ
ejpam-5071	223	18	+	+	NUM
ejpam-5071	223	19	µ)(12k1	µ)(12k1	NOUN
ejpam-5071	223	20	+	+	X
ejpam-5071	223	21	γk1	γk1	NOUN
ejpam-5071	223	22	+	+	CCONJ
ejpam-5071	223	23	µ	µ	X
ejpam-5071	223	24	)	)	PUNCT
ejpam-5071	223	25	k.	k.	PROPN
ejpam-5071	224	1	f.	f.	PROPN
ejpam-5071	224	2	sarfo	sarfo	PROPN
ejpam-5071	224	3	et	et	PROPN
ejpam-5071	224	4	al	al	PROPN
ejpam-5071	224	5	.	.	PUNCT
ejpam-5071	224	6	/	/	SYM
ejpam-5071	224	7	eur	eur	PROPN
ejpam-5071	224	8	.	.	PUNCT
ejpam-5071	225	1	j.	j.	PROPN
ejpam-5071	225	2	pure	pure	PROPN
ejpam-5071	225	3	appl	appl	PROPN
ejpam-5071	225	4	.	.	PROPN
ejpam-5071	225	5	math	math	PROPN
ejpam-5071	225	6	,	,	PUNCT
ejpam-5071	225	7	17	17	NUM
ejpam-5071	225	8	(	(	PUNCT
ejpam-5071	225	9	2	2	NUM
ejpam-5071	225	10	)	)	PUNCT
ejpam-5071	225	11	(	(	PUNCT
ejpam-5071	225	12	2024	2024	NUM
ejpam-5071	225	13	)	)	PUNCT
ejpam-5071	225	14	,	,	PUNCT
ejpam-5071	225	15	1046	1046	NUM
ejpam-5071	225	16	-	-	SYM
ejpam-5071	225	17	1069	1069	NUM
ejpam-5071	225	18	1057	1057	NUM
ejpam-5071	225	19	+50a32	+50a32	X
ejpam-5071	225	20	x6k1	x6k1	X
ejpam-5071	225	21	+	+	NOUN
ejpam-5071	225	22	3γk1	3γk1	NUM
ejpam-5071	225	23	(	(	PUNCT
ejpam-5071	225	24	2k1	2k1	NUM
ejpam-5071	225	25	+	+	CCONJ
ejpam-5071	225	26	3γk1	3γk1	NUM
ejpam-5071	225	27	+	+	CCONJ
ejpam-5071	225	28	µ)(6k1	µ)(6k1	NOUN
ejpam-5071	225	29	+	+	CCONJ
ejpam-5071	225	30	3γk1	3γk1	NUM
ejpam-5071	225	31	+	+	ADJ
ejpam-5071	225	32	µ	µ	X
ejpam-5071	225	33	)	)	PUNCT
ejpam-5071	225	34	−250a22	−250a22	NOUN
ejpam-5071	225	35	x11k1	x11k1	NOUN
ejpam-5071	225	36	+	+	NOUN
ejpam-5071	225	37	2γk1	2γk1	NUM
ejpam-5071	225	38	(	(	PUNCT
ejpam-5071	225	39	4k1	4k1	NUM
ejpam-5071	225	40	+	+	X
ejpam-5071	225	41	γk1	γk1	NOUN
ejpam-5071	225	42	+	+	CCONJ
ejpam-5071	225	43	µ)2(11k1	µ)2(11k1	NOUN
ejpam-5071	225	44	+	+	CCONJ
ejpam-5071	225	45	2γk1	2γk1	NUM
ejpam-5071	225	46	+	+	NUM
ejpam-5071	225	47	µ	µ	X
ejpam-5071	225	48	)	)	PUNCT
ejpam-5071	225	49	+250a22	+250a22	PROPN
ejpam-5071	225	50	x11k1	x11k1	NOUN
ejpam-5071	225	51	+	+	NOUN
ejpam-5071	225	52	2γk1	2γk1	NUM
ejpam-5071	225	53	(	(	PUNCT
ejpam-5071	225	54	3k1	3k1	NUM
ejpam-5071	225	55	+	+	CCONJ
ejpam-5071	225	56	2γk1	2γk1	NUM
ejpam-5071	226	1	+	+	CCONJ
ejpam-5071	226	2	µ)(7k1	µ)(7k1	PROPN
ejpam-5071	226	3	+	+	NUM
ejpam-5071	226	4	2γk1	2γk1	NUM
ejpam-5071	226	5	+	+	NUM
ejpam-5071	226	6	µ)(11k1	µ)(11k1	NOUN
ejpam-5071	226	7	+	+	CCONJ
ejpam-5071	226	8	2γk1	2γk1	NUM
ejpam-5071	226	9	+	+	SYM
ejpam-5071	226	10	µ	µ	X
ejpam-5071	226	11	)	)	PUNCT
ejpam-5071	226	12	u4(x	u4(x	PROPN
ejpam-5071	226	13	)	)	PUNCT
ejpam-5071	226	14	=	=	SYM
ejpam-5071	227	1	∫	∫	PROPN
ejpam-5071	227	2	x	x	SYM
ejpam-5071	227	3	0	0	PROPN
ejpam-5071	228	1	tµ−1	tµ−1	VERB
ejpam-5071	228	2	xµ	xµ	PROPN
ejpam-5071	228	3	(	(	PUNCT
ejpam-5071	228	4	u0	u0	ADJ
ejpam-5071	228	5	+	+	NUM
ejpam-5071	228	6	u1	u1	NOUN
ejpam-5071	228	7	+	+	CCONJ
ejpam-5071	228	8	u2	u2	NOUN
ejpam-5071	228	9	+	+	CCONJ
ejpam-5071	228	10	u3)(t	u3)(t	NUM
ejpam-5071	228	11	)	)	PUNCT
ejpam-5071	228	12	βdt−	βdt−	NUM
ejpam-5071	229	1	3∑	3∑	NUM
ejpam-5071	229	2	i=1	i=1	NOUN
ejpam-5071	229	3	ui	ui	NOUN
ejpam-5071	230	1	=	=	NOUN
ejpam-5071	230	2	125a2	125a2	NUM
ejpam-5071	230	3	x12k1+γk1	x12k1+γk1	NOUN
ejpam-5071	230	4	(	(	PUNCT
ejpam-5071	230	5	4k1	4k1	NUM
ejpam-5071	230	6	+	+	X
ejpam-5071	230	7	γk1	γk1	ADJ
ejpam-5071	230	8	+	+	CCONJ
ejpam-5071	230	9	µ)(8k1	µ)(8k1	X
ejpam-5071	230	10	+	+	CCONJ
ejpam-5071	230	11	γk1	γk1	ADJ
ejpam-5071	230	12	+	+	NUM
ejpam-5071	230	13	µ)(12k1	µ)(12k1	NOUN
ejpam-5071	230	14	+	+	X
ejpam-5071	230	15	γk1	γk1	NOUN
ejpam-5071	230	16	+	+	CCONJ
ejpam-5071	230	17	µ	µ	X
ejpam-5071	230	18	)	)	PUNCT
ejpam-5071	230	19	−250a22	−250a22	NOUN
ejpam-5071	230	20	x11k1	x11k1	NOUN
ejpam-5071	230	21	+	+	NOUN
ejpam-5071	230	22	2γk1	2γk1	NUM
ejpam-5071	230	23	(	(	PUNCT
ejpam-5071	230	24	3k1	3k1	NUM
ejpam-5071	230	25	+	+	CCONJ
ejpam-5071	230	26	2γk1	2γk1	NUM
ejpam-5071	230	27	+	+	CCONJ
ejpam-5071	230	28	µ)(7k1	µ)(7k1	PROPN
ejpam-5071	230	29	+	+	NUM
ejpam-5071	230	30	2γk1	2γk1	NUM
ejpam-5071	230	31	+	+	NUM
ejpam-5071	230	32	µ)(11k1	µ)(11k1	NOUN
ejpam-5071	230	33	+	+	CCONJ
ejpam-5071	230	34	2γk1	2γk1	NUM
ejpam-5071	230	35	+	+	SYM
ejpam-5071	230	36	µ	µ	X
ejpam-5071	230	37	)	)	PUNCT
ejpam-5071	230	38	−625a2	−625a2	SYM
ejpam-5071	230	39	x16k1+γk1	x16k1+γk1	NOUN
ejpam-5071	230	40	(	(	PUNCT
ejpam-5071	230	41	4k1	4k1	NUM
ejpam-5071	230	42	+	+	X
ejpam-5071	230	43	γk1	γk1	ADJ
ejpam-5071	230	44	+	+	CCONJ
ejpam-5071	230	45	µ)(8k1	µ)(8k1	X
ejpam-5071	230	46	+	+	CCONJ
ejpam-5071	230	47	γk1	γk1	ADJ
ejpam-5071	230	48	+	+	NUM
ejpam-5071	230	49	µ)(12k1	µ)(12k1	NOUN
ejpam-5071	230	50	+	+	X
ejpam-5071	230	51	γk1	γk1	NOUN
ejpam-5071	230	52	+	+	CCONJ
ejpam-5071	230	53	µ)(16k1	µ)(16k1	ADJ
ejpam-5071	230	54	+	+	X
ejpam-5071	230	55	γk1	γk1	NOUN
ejpam-5071	230	56	+	+	CCONJ
ejpam-5071	230	57	µ	µ	X
ejpam-5071	230	58	)	)	PUNCT
ejpam-5071	230	59	u5(x	u5(x	NOUN
ejpam-5071	230	60	)	)	PUNCT
ejpam-5071	230	61	=	=	SYM
ejpam-5071	231	1	∫	∫	PROPN
ejpam-5071	231	2	x	x	SYM
ejpam-5071	231	3	0	0	PROPN
ejpam-5071	232	1	tµ−1	tµ−1	VERB
ejpam-5071	232	2	xµ	xµ	PROPN
ejpam-5071	232	3	(	(	PUNCT
ejpam-5071	232	4	u0	u0	ADJ
ejpam-5071	232	5	+	+	NUM
ejpam-5071	232	6	u1	u1	NOUN
ejpam-5071	232	7	+	+	CCONJ
ejpam-5071	232	8	u2	u2	NOUN
ejpam-5071	232	9	+	+	CCONJ
ejpam-5071	232	10	u3	u3	NOUN
ejpam-5071	232	11	+	+	CCONJ
ejpam-5071	232	12	u4)(t	u4)(t	PROPN
ejpam-5071	232	13	)	)	PUNCT
ejpam-5071	232	14	βdt−	βdt−	NUM
ejpam-5071	232	15	4∑	4∑	NUM
ejpam-5071	232	16	i=1	i=1	PROPN
ejpam-5071	232	17	ui	ui	NOUN
ejpam-5071	233	1	=	=	VERB
ejpam-5071	233	2	625a2	625a2	NUM
ejpam-5071	233	3	x16k1+γk1	x16k1+γk1	NOUN
ejpam-5071	233	4	(	(	PUNCT
ejpam-5071	233	5	4k1	4k1	NUM
ejpam-5071	233	6	+	+	X
ejpam-5071	233	7	γk1	γk1	ADJ
ejpam-5071	233	8	+	+	CCONJ
ejpam-5071	233	9	µ)(8k1	µ)(8k1	X
ejpam-5071	233	10	+	+	CCONJ
ejpam-5071	233	11	γk1	γk1	ADJ
ejpam-5071	233	12	+	+	NUM
ejpam-5071	233	13	µ)(12k1	µ)(12k1	NOUN
ejpam-5071	233	14	+	+	X
ejpam-5071	233	15	γk1	γk1	NOUN
ejpam-5071	233	16	+	+	CCONJ
ejpam-5071	233	17	µ)(16k1	µ)(16k1	ADJ
ejpam-5071	233	18	+	+	X
ejpam-5071	233	19	γk1	γk1	NOUN
ejpam-5071	233	20	+	+	CCONJ
ejpam-5071	233	21	µ	µ	X
ejpam-5071	233	22	)	)	PUNCT
ejpam-5071	233	23	u(x	u(x	PROPN
ejpam-5071	233	24	)	)	PUNCT
ejpam-5071	233	25	=	=	PUNCT
ejpam-5071	234	1	5∑	5∑	NUM
ejpam-5071	234	2	i=0	i=0	PROPN
ejpam-5071	234	3	ui	ui	PROPN
ejpam-5071	234	4	∴	∴	PROPN
ejpam-5071	234	5	u(x	u(x	PROPN
ejpam-5071	234	6	)	)	PUNCT
ejpam-5071	234	7	=	=	PUNCT
ejpam-5071	235	1	xk1	xk1	PROPN
ejpam-5071	235	2	3	3	X
ejpam-5071	235	3	.	.	PUNCT
ejpam-5071	235	4	examples	example	NOUN
ejpam-5071	235	5	for	for	ADP
ejpam-5071	235	6	β	β	NOUN
ejpam-5071	235	7	solution	solution	NOUN
ejpam-5071	235	8	models	model	NOUN
ejpam-5071	235	9	using	use	VERB
ejpam-5071	235	10	the	the	DET
ejpam-5071	235	11	investigation	investigation	NOUN
ejpam-5071	235	12	parameter	parameter	NOUN
ejpam-5071	235	13	µ	µ	X
ejpam-5071	235	14	>	>	ADP
ejpam-5071	235	15	1	1	NUM
ejpam-5071	235	16	in	in	ADP
ejpam-5071	235	17	this	this	DET
ejpam-5071	235	18	section	section	NOUN
ejpam-5071	235	19	,	,	PUNCT
ejpam-5071	235	20	we	we	PRON
ejpam-5071	235	21	implement	implement	VERB
ejpam-5071	235	22	the	the	DET
ejpam-5071	235	23	djm	djm	NOUN
ejpam-5071	235	24	and	and	CCONJ
ejpam-5071	235	25	the	the	DET
ejpam-5071	235	26	force	force	NOUN
ejpam-5071	235	27	function	function	NOUN
ejpam-5071	235	28	formula	formula	NOUN
ejpam-5071	235	29	for	for	ADP
ejpam-5071	235	30	solutions	solution	NOUN
ejpam-5071	235	31	of	of	ADP
ejpam-5071	235	32	nonlinear	nonlinear	ADJ
ejpam-5071	235	33	wsvie	wsvie	NOUN
ejpam-5071	235	34	.	.	PUNCT
ejpam-5071	236	1	example	example	NOUN
ejpam-5071	236	2	1(a	1(a	NUM
ejpam-5071	236	3	)	)	PUNCT
ejpam-5071	236	4	.	.	PUNCT
ejpam-5071	237	1	consider	consider	VERB
ejpam-5071	237	2	the	the	DET
ejpam-5071	237	3	2nd	2nd	ADJ
ejpam-5071	237	4	order	order	NOUN
ejpam-5071	237	5	nonlinear	nonlinear	ADJ
ejpam-5071	237	6	wsvie	wsvie	NOUN
ejpam-5071	237	7	given	give	VERB
ejpam-5071	237	8	by	by	ADP
ejpam-5071	237	9	u(x	u(x	NOUN
ejpam-5071	237	10	)	)	PUNCT
ejpam-5071	237	11	=	=	SYM
ejpam-5071	238	1	xk1	xk1	PROPN
ejpam-5071	238	2	−	−	PROPN
ejpam-5071	238	3	xγk1	xγk1	PROPN
ejpam-5071	238	4	γk1	γk1	PROPN
ejpam-5071	238	5	+	+	CCONJ
ejpam-5071	238	6	µ	µ	X
ejpam-5071	238	7	+	+	NUM
ejpam-5071	238	8	∫	∫	PROPN
ejpam-5071	238	9	x	x	SYM
ejpam-5071	238	10	0	0	PROPN
ejpam-5071	238	11	tµ−1	tµ−1	NOUN
ejpam-5071	238	12	xµ	xµ	X
ejpam-5071	239	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	239	2	(	(	PUNCT
ejpam-5071	239	3	24	24	NUM
ejpam-5071	239	4	)	)	PUNCT
ejpam-5071	239	5	following	follow	VERB
ejpam-5071	239	6	the	the	DET
ejpam-5071	239	7	algorithm	algorithm	NOUN
ejpam-5071	239	8	in	in	ADP
ejpam-5071	239	9	equation	equation	NOUN
ejpam-5071	239	10	(	(	PUNCT
ejpam-5071	239	11	15	15	NUM
ejpam-5071	239	12	)	)	PUNCT
ejpam-5071	239	13	,	,	PUNCT
ejpam-5071	239	14	the	the	DET
ejpam-5071	239	15	relation	relation	NOUN
ejpam-5071	239	16	between	between	ADP
ejpam-5071	239	17	the	the	DET
ejpam-5071	239	18	final	final	ADJ
ejpam-5071	239	19	series	series	NOUN
ejpam-5071	239	20	solution	solution	NOUN
ejpam-5071	239	21	term	term	NOUN
ejpam-5071	239	22	and	and	CCONJ
ejpam-5071	239	23	the	the	DET
ejpam-5071	239	24	truncation	truncation	NOUN
ejpam-5071	239	25	point	point	NOUN
ejpam-5071	239	26	is	be	AUX
ejpam-5071	239	27	determined	determine	VERB
ejpam-5071	239	28	using	use	VERB
ejpam-5071	239	29	equation	equation	NOUN
ejpam-5071	239	30	(	(	PUNCT
ejpam-5071	239	31	17	17	NUM
ejpam-5071	239	32	)	)	PUNCT
ejpam-5071	239	33	.	.	PUNCT
ejpam-5071	240	1	solution	solution	NOUN
ejpam-5071	240	2	,	,	PUNCT
ejpam-5071	240	3	u0(x	u0(x	NOUN
ejpam-5071	240	4	)	)	PUNCT
ejpam-5071	240	5	=	=	SYM
ejpam-5071	240	6	f(x	f(x	PROPN
ejpam-5071	240	7	)	)	PUNCT
ejpam-5071	240	8	=	=	PUNCT
ejpam-5071	241	1	x	x	SYM
ejpam-5071	241	2	1	1	NUM
ejpam-5071	241	3	2	2	NUM
ejpam-5071	241	4	−	−	NUM
ejpam-5071	241	5	5	5	NUM
ejpam-5071	241	6	11	11	NUM
ejpam-5071	241	7	x	x	NOUN
ejpam-5071	241	8	,	,	PUNCT
ejpam-5071	241	9	u1(x	u1(x	NOUN
ejpam-5071	241	10	)	)	PUNCT
ejpam-5071	241	11	=	=	SYM
ejpam-5071	241	12	5	5	NUM
ejpam-5071	241	13	11	11	NUM
ejpam-5071	241	14	x−	x−	PROPN
ejpam-5071	241	15	100	100	NUM
ejpam-5071	241	16	297	297	NUM
ejpam-5071	241	17	x	x	SYM
ejpam-5071	241	18	3	3	NUM
ejpam-5071	241	19	2	2	NUM
ejpam-5071	241	20	+	+	NUM
ejpam-5071	241	21	125	125	NUM
ejpam-5071	241	22	1936	1936	NUM
ejpam-5071	241	23	x2	x2	PROPN
ejpam-5071	241	24	k.	k.	PROPN
ejpam-5071	241	25	f.	f.	PROPN
ejpam-5071	241	26	sarfo	sarfo	PROPN
ejpam-5071	241	27	et	et	PROPN
ejpam-5071	241	28	al	al	PROPN
ejpam-5071	241	29	.	.	PUNCT
ejpam-5071	241	30	/	/	SYM
ejpam-5071	241	31	eur	eur	PROPN
ejpam-5071	241	32	.	.	PUNCT
ejpam-5071	242	1	j.	j.	PROPN
ejpam-5071	242	2	pure	pure	PROPN
ejpam-5071	242	3	appl	appl	PROPN
ejpam-5071	242	4	.	.	PROPN
ejpam-5071	242	5	math	math	PROPN
ejpam-5071	242	6	,	,	PUNCT
ejpam-5071	242	7	17	17	NUM
ejpam-5071	242	8	(	(	PUNCT
ejpam-5071	242	9	2	2	NUM
ejpam-5071	242	10	)	)	PUNCT
ejpam-5071	242	11	(	(	PUNCT
ejpam-5071	242	12	2024	2024	NUM
ejpam-5071	242	13	)	)	PUNCT
ejpam-5071	242	14	,	,	PUNCT
ejpam-5071	242	15	1046	1046	NUM
ejpam-5071	242	16	-	-	SYM
ejpam-5071	242	17	1069	1069	NUM
ejpam-5071	242	18	1058	1058	NUM
ejpam-5071	242	19	u2(x	u2(x	NOUN
ejpam-5071	242	20	)	)	PUNCT
ejpam-5071	242	21	=	=	PUNCT
ejpam-5071	243	1	100	100	NUM
ejpam-5071	243	2	297	297	NUM
ejpam-5071	243	3	x	x	SYM
ejpam-5071	243	4	3	3	NUM
ejpam-5071	243	5	2	2	NUM
ejpam-5071	243	6	−	−	NUM
ejpam-5071	243	7	125	125	NUM
ejpam-5071	243	8	594	594	NUM
ejpam-5071	243	9	x2	x2	NOUN
ejpam-5071	243	10	−	−	PROPN
ejpam-5071	243	11	125	125	NUM
ejpam-5071	243	12	1936	1936	NUM
ejpam-5071	243	13	x2	x2	NOUN
ejpam-5071	244	1	+	+	CCONJ
ejpam-5071	245	1	625	625	NUM
ejpam-5071	245	2	17908	17908	NUM
ejpam-5071	245	3	x	x	SYM
ejpam-5071	245	4	5	5	NUM
ejpam-5071	245	5	2	2	NUM
ejpam-5071	245	6	+	+	NUM
ejpam-5071	245	7	50000	50000	NUM
ejpam-5071	245	8	1852389	1852389	NUM
ejpam-5071	245	9	x3	x3	ADJ
ejpam-5071	245	10	+	+	CCONJ
ejpam-5071	245	11	...	...	PUNCT
ejpam-5071	245	12	u3(x	u3(x	X
ejpam-5071	245	13	)	)	PUNCT
ejpam-5071	245	14	=	=	NOUN
ejpam-5071	245	15	125	125	NUM
ejpam-5071	245	16	594	594	NUM
ejpam-5071	245	17	x2	x2	NOUN
ejpam-5071	245	18	−	−	PROPN
ejpam-5071	246	1	625	625	NUM
ejpam-5071	246	2	17908	17908	NUM
ejpam-5071	246	3	x	x	SYM
ejpam-5071	246	4	5	5	NUM
ejpam-5071	246	5	2	2	NUM
ejpam-5071	246	6	−	−	NOUN
ejpam-5071	246	7	1250	1250	NUM
ejpam-5071	246	8	10989	10989	NUM
ejpam-5071	246	9	x	x	SYM
ejpam-5071	246	10	5	5	NUM
ejpam-5071	246	11	2	2	NUM
ejpam-5071	246	12	−	−	PROPN
ejpam-5071	246	13	50000	50000	NUM
ejpam-5071	246	14	1852389	1852389	NUM
ejpam-5071	246	15	x3	x3	ADJ
ejpam-5071	246	16	+	+	CCONJ
ejpam-5071	246	17	3125	3125	NUM
ejpam-5071	246	18	188034	188034	NUM
ejpam-5071	246	19	x3	x3	PROPN
ejpam-5071	246	20	+	+	CCONJ
ejpam-5071	246	21	...	...	PUNCT
ejpam-5071	247	1	u4(x	u4(x	X
ejpam-5071	247	2	)	)	PUNCT
ejpam-5071	247	3	=	=	SYM
ejpam-5071	247	4	1250	1250	NUM
ejpam-5071	247	5	10989	10989	NUM
ejpam-5071	247	6	x	x	SYM
ejpam-5071	247	7	5	5	NUM
ejpam-5071	247	8	2	2	NUM
ejpam-5071	247	9	−	−	NUM
ejpam-5071	247	10	3125	3125	NUM
ejpam-5071	247	11	188034	188034	NUM
ejpam-5071	247	12	x3	x3	NOUN
ejpam-5071	247	13	−	−	PROPN
ejpam-5071	247	14	12500	12500	NUM
ejpam-5071	247	15	230769	230769	NUM
ejpam-5071	247	16	x3	x3	PROPN
ejpam-5071	248	1	+	+	CCONJ
ejpam-5071	249	1	...	...	PUNCT
ejpam-5071	249	2	u5(x	u5(x	X
ejpam-5071	249	3	)	)	PUNCT
ejpam-5071	249	4	=	=	SYM
ejpam-5071	249	5	12500	12500	NUM
ejpam-5071	249	6	230769	230769	NUM
ejpam-5071	249	7	x3	x3	PROPN
ejpam-5071	249	8	+	+	CCONJ
ejpam-5071	249	9	...	...	PUNCT
ejpam-5071	249	10	u(x	u(x	PROPN
ejpam-5071	249	11	)	)	PUNCT
ejpam-5071	249	12	=	=	PUNCT
ejpam-5071	249	13	u0	u0	ADJ
ejpam-5071	249	14	+	+	CCONJ
ejpam-5071	249	15	...	...	PUNCT
ejpam-5071	250	1	+	+	NUM
ejpam-5071	250	2	u5	u5	ADJ
ejpam-5071	250	3	=	=	SYM
ejpam-5071	250	4	x	x	SYM
ejpam-5071	250	5	1	1	NUM
ejpam-5071	250	6	2	2	NUM
ejpam-5071	250	7	example	example	NOUN
ejpam-5071	250	8	1(b	1(b	NUM
ejpam-5071	250	9	)	)	PUNCT
ejpam-5071	250	10	.	.	PUNCT
ejpam-5071	251	1	consider	consider	VERB
ejpam-5071	251	2	the	the	DET
ejpam-5071	251	3	3rd	3rd	ADJ
ejpam-5071	251	4	order	order	NOUN
ejpam-5071	251	5	nonlinear	nonlinear	ADJ
ejpam-5071	251	6	wsvie	wsvie	NOUN
ejpam-5071	251	7	given	give	VERB
ejpam-5071	251	8	by	by	ADP
ejpam-5071	251	9	u(x	u(x	NOUN
ejpam-5071	251	10	)	)	PUNCT
ejpam-5071	251	11	=	=	SYM
ejpam-5071	252	1	xk1	xk1	PROPN
ejpam-5071	252	2	−	−	PROPN
ejpam-5071	252	3	xγk1	xγk1	PROPN
ejpam-5071	252	4	γk1	γk1	PROPN
ejpam-5071	252	5	+	+	CCONJ
ejpam-5071	252	6	µ	µ	X
ejpam-5071	252	7	+	+	NUM
ejpam-5071	252	8	∫	∫	PROPN
ejpam-5071	252	9	x	x	SYM
ejpam-5071	252	10	0	0	PROPN
ejpam-5071	252	11	tµ−1	tµ−1	NOUN
ejpam-5071	252	12	xµ	xµ	X
ejpam-5071	253	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	253	2	(	(	PUNCT
ejpam-5071	253	3	25	25	NUM
ejpam-5071	253	4	)	)	PUNCT
ejpam-5071	253	5	for	for	ADP
ejpam-5071	253	6	third	third	ADJ
ejpam-5071	253	7	order	order	NOUN
ejpam-5071	253	8	nonlinear	nonlinear	ADJ
ejpam-5071	253	9	parameter	parameter	NOUN
ejpam-5071	253	10	,	,	PUNCT
ejpam-5071	253	11	γ	γ	X
ejpam-5071	253	12	=	=	SYM
ejpam-5071	253	13	β	β	X
ejpam-5071	253	14	=	=	SYM
ejpam-5071	253	15	3	3	NUM
ejpam-5071	253	16	,	,	PUNCT
ejpam-5071	253	17	k1	k1	NOUN
ejpam-5071	253	18	=	=	SYM
ejpam-5071	253	19	1	1	NUM
ejpam-5071	253	20	2	2	NUM
ejpam-5071	253	21	,	,	PUNCT
ejpam-5071	253	22	µ	µ	NOUN
ejpam-5071	253	23	=	=	SYM
ejpam-5071	253	24	2	2	NUM
ejpam-5071	253	25	.	.	PUNCT
ejpam-5071	254	1	following	follow	VERB
ejpam-5071	254	2	the	the	DET
ejpam-5071	254	3	algorithm	algorithm	NOUN
ejpam-5071	254	4	in	in	ADP
ejpam-5071	254	5	equation	equation	NOUN
ejpam-5071	254	6	(	(	PUNCT
ejpam-5071	254	7	15	15	NUM
ejpam-5071	254	8	)	)	PUNCT
ejpam-5071	254	9	,	,	PUNCT
ejpam-5071	254	10	the	the	DET
ejpam-5071	254	11	relation	relation	NOUN
ejpam-5071	254	12	between	between	ADP
ejpam-5071	254	13	the	the	DET
ejpam-5071	254	14	final	final	ADJ
ejpam-5071	254	15	series	series	NOUN
ejpam-5071	254	16	solution	solution	NOUN
ejpam-5071	254	17	term	term	NOUN
ejpam-5071	254	18	and	and	CCONJ
ejpam-5071	254	19	the	the	DET
ejpam-5071	254	20	truncation	truncation	NOUN
ejpam-5071	254	21	point	point	NOUN
ejpam-5071	254	22	is	be	AUX
ejpam-5071	254	23	determined	determine	VERB
ejpam-5071	254	24	using	use	VERB
ejpam-5071	254	25	equation	equation	NOUN
ejpam-5071	254	26	(	(	PUNCT
ejpam-5071	254	27	17	17	NUM
ejpam-5071	254	28	)	)	PUNCT
ejpam-5071	254	29	.	.	PUNCT
ejpam-5071	255	1	u0(x	u0(x	X
ejpam-5071	255	2	)	)	PUNCT
ejpam-5071	255	3	=	=	PUNCT
ejpam-5071	256	1	x	x	SYM
ejpam-5071	256	2	1	1	NUM
ejpam-5071	256	3	2	2	NUM
ejpam-5071	256	4	−	−	NOUN
ejpam-5071	256	5	2	2	NUM
ejpam-5071	256	6	7	7	NUM
ejpam-5071	256	7	x	x	SYM
ejpam-5071	256	8	3	3	NUM
ejpam-5071	256	9	2	2	NUM
ejpam-5071	256	10	u1(x	u1(x	NUM
ejpam-5071	256	11	)	)	PUNCT
ejpam-5071	256	12	=	=	SYM
ejpam-5071	257	1	2	2	NUM
ejpam-5071	257	2	7	7	NUM
ejpam-5071	257	3	x	x	SYM
ejpam-5071	257	4	3	3	NUM
ejpam-5071	257	5	2	2	NUM
ejpam-5071	257	6	−	−	NOUN
ejpam-5071	257	7	4	4	NUM
ejpam-5071	257	8	21	21	NUM
ejpam-5071	257	9	x	x	SYM
ejpam-5071	257	10	5	5	NUM
ejpam-5071	257	11	2	2	NUM
ejpam-5071	257	12	+	+	NUM
ejpam-5071	257	13	24	24	NUM
ejpam-5071	257	14	539	539	NUM
ejpam-5071	257	15	x	x	SYM
ejpam-5071	257	16	7	7	NUM
ejpam-5071	257	17	2	2	NUM
ejpam-5071	257	18	−	−	NOUN
ejpam-5071	257	19	16	16	NUM
ejpam-5071	257	20	4459	4459	NUM
ejpam-5071	257	21	x	x	SYM
ejpam-5071	257	22	9	9	NUM
ejpam-5071	257	23	2	2	NUM
ejpam-5071	257	24	u2(x	u2(x	NUM
ejpam-5071	257	25	)	)	PUNCT
ejpam-5071	257	26	=	=	SYM
ejpam-5071	258	1	4	4	NUM
ejpam-5071	258	2	21	21	NUM
ejpam-5071	258	3	x	x	SYM
ejpam-5071	258	4	5	5	NUM
ejpam-5071	258	5	2	2	NUM
ejpam-5071	258	6	−	−	NUM
ejpam-5071	258	7	24	24	NUM
ejpam-5071	258	8	539	539	NUM
ejpam-5071	258	9	x	x	SYM
ejpam-5071	258	10	7	7	NUM
ejpam-5071	258	11	2	2	NUM
ejpam-5071	258	12	−	−	NOUN
ejpam-5071	258	13	8	8	NUM
ejpam-5071	258	14	77	77	NUM
ejpam-5071	258	15	x	x	SYM
ejpam-5071	258	16	7	7	NUM
ejpam-5071	258	17	2	2	NUM
ejpam-5071	258	18	+	+	CCONJ
ejpam-5071	258	19	144	144	NUM
ejpam-5071	258	20	7007	7007	NUM
ejpam-5071	258	21	x	x	SYM
ejpam-5071	258	22	9	9	NUM
ejpam-5071	258	23	2	2	NUM
ejpam-5071	258	24	+	+	NUM
ejpam-5071	258	25	16	16	NUM
ejpam-5071	258	26	4459	4459	NUM
ejpam-5071	258	27	x	x	SYM
ejpam-5071	258	28	9	9	NUM
ejpam-5071	258	29	2	2	NUM
ejpam-5071	258	30	+	+	CCONJ
ejpam-5071	258	31	...	...	PUNCT
ejpam-5071	259	1	u3(x	u3(x	X
ejpam-5071	259	2	)	)	PUNCT
ejpam-5071	259	3	=	=	SYM
ejpam-5071	259	4	8	8	NUM
ejpam-5071	259	5	77	77	NUM
ejpam-5071	259	6	x	x	SYM
ejpam-5071	259	7	7	7	NUM
ejpam-5071	259	8	2	2	NUM
ejpam-5071	259	9	−	−	NOUN
ejpam-5071	259	10	144	144	NUM
ejpam-5071	259	11	7007	7007	NUM
ejpam-5071	259	12	x	x	SYM
ejpam-5071	259	13	9	9	NUM
ejpam-5071	259	14	2	2	NUM
ejpam-5071	259	15	−	−	PROPN
ejpam-5071	259	16	48	48	NUM
ejpam-5071	259	17	1001	1001	NUM
ejpam-5071	259	18	x	x	SYM
ejpam-5071	259	19	9	9	NUM
ejpam-5071	259	20	2	2	NUM
ejpam-5071	259	21	+	+	CCONJ
ejpam-5071	259	22	...	...	PUNCT
ejpam-5071	259	23	u4(x	u4(x	X
ejpam-5071	259	24	)	)	PUNCT
ejpam-5071	259	25	=	=	SYM
ejpam-5071	259	26	48	48	NUM
ejpam-5071	259	27	1001	1001	NUM
ejpam-5071	259	28	x	x	SYM
ejpam-5071	259	29	9	9	NUM
ejpam-5071	259	30	2	2	NUM
ejpam-5071	259	31	+	+	CCONJ
ejpam-5071	259	32	...	...	PUNCT
ejpam-5071	259	33	u(x	u(x	PROPN
ejpam-5071	259	34	)	)	PUNCT
ejpam-5071	259	35	=	=	PUNCT
ejpam-5071	259	36	u0	u0	ADJ
ejpam-5071	259	37	+	+	CCONJ
ejpam-5071	259	38	...	...	PUNCT
ejpam-5071	259	39	+	+	NUM
ejpam-5071	259	40	u6	u6	ADJ
ejpam-5071	259	41	=	=	SYM
ejpam-5071	259	42	x	x	SYM
ejpam-5071	259	43	1	1	NUM
ejpam-5071	259	44	2	2	NUM
ejpam-5071	259	45	example	example	NOUN
ejpam-5071	259	46	1(c	1(c	NUM
ejpam-5071	259	47	)	)	PUNCT
ejpam-5071	259	48	.	.	PUNCT
ejpam-5071	260	1	for	for	ADP
ejpam-5071	260	2	k1	k1	NOUN
ejpam-5071	260	3	=	=	SYM
ejpam-5071	260	4	1	1	NUM
ejpam-5071	260	5	2	2	NUM
ejpam-5071	260	6	,	,	PUNCT
ejpam-5071	260	7	µ	µ	NOUN
ejpam-5071	260	8	=	=	SYM
ejpam-5071	260	9	3	3	NUM
ejpam-5071	260	10	2	2	NUM
ejpam-5071	260	11	,	,	PUNCT
ejpam-5071	260	12	γ	γ	X
ejpam-5071	260	13	=	=	SYM
ejpam-5071	260	14	β	β	X
ejpam-5071	260	15	=	=	SYM
ejpam-5071	260	16	4	4	NUM
ejpam-5071	260	17	,	,	PUNCT
ejpam-5071	260	18	we	we	PRON
ejpam-5071	260	19	substitute	substitute	VERB
ejpam-5071	260	20	the	the	DET
ejpam-5071	260	21	parameter	parameter	NOUN
ejpam-5071	260	22	values	value	NOUN
ejpam-5071	260	23	in	in	ADP
ejpam-5071	260	24	the	the	DET
ejpam-5071	260	25	4th	4th	ADJ
ejpam-5071	260	26	-	-	PUNCT
ejpam-5071	260	27	order	order	NOUN
ejpam-5071	260	28	solution	solution	NOUN
ejpam-5071	260	29	model	model	NOUN
ejpam-5071	260	30	to	to	PART
ejpam-5071	260	31	obtain	obtain	VERB
ejpam-5071	260	32	the	the	DET
ejpam-5071	260	33	solution	solution	NOUN
ejpam-5071	260	34	u(x	u(x	NOUN
ejpam-5071	260	35	)	)	PUNCT
ejpam-5071	261	1	=	=	PUNCT
ejpam-5071	261	2	x	x	SYM
ejpam-5071	261	3	1	1	NUM
ejpam-5071	261	4	2	2	NUM
ejpam-5071	261	5	example	example	NOUN
ejpam-5071	261	6	1(d	1(d	NUM
ejpam-5071	261	7	)	)	PUNCT
ejpam-5071	261	8	.	.	PUNCT
ejpam-5071	262	1	for	for	ADP
ejpam-5071	262	2	k1	k1	NOUN
ejpam-5071	262	3	=	=	SYM
ejpam-5071	262	4	1	1	NUM
ejpam-5071	262	5	2	2	NUM
ejpam-5071	262	6	,	,	PUNCT
ejpam-5071	262	7	µ	µ	NOUN
ejpam-5071	262	8	=	=	SYM
ejpam-5071	262	9	3,γ	3,γ	NUM
ejpam-5071	262	10	=	=	PUNCT
ejpam-5071	262	11	β	β	NOUN
ejpam-5071	262	12	=	=	SYM
ejpam-5071	262	13	5	5	NUM
ejpam-5071	262	14	,	,	PUNCT
ejpam-5071	262	15	we	we	PRON
ejpam-5071	262	16	substitute	substitute	VERB
ejpam-5071	262	17	the	the	DET
ejpam-5071	262	18	parameter	parameter	NOUN
ejpam-5071	262	19	values	value	NOUN
ejpam-5071	262	20	in	in	ADP
ejpam-5071	262	21	the	the	DET
ejpam-5071	262	22	5th	5th	ADJ
ejpam-5071	262	23	-	-	PUNCT
ejpam-5071	262	24	order	order	NOUN
ejpam-5071	262	25	solution	solution	NOUN
ejpam-5071	262	26	model	model	NOUN
ejpam-5071	262	27	to	to	PART
ejpam-5071	262	28	obtain	obtain	VERB
ejpam-5071	262	29	the	the	DET
ejpam-5071	262	30	unique	unique	ADJ
ejpam-5071	262	31	solution	solution	NOUN
ejpam-5071	262	32	,	,	PUNCT
ejpam-5071	262	33	u(x	u(x	NOUN
ejpam-5071	262	34	)	)	PUNCT
ejpam-5071	263	1	=	=	PUNCT
ejpam-5071	263	2	x	x	SYM
ejpam-5071	263	3	1	1	NUM
ejpam-5071	263	4	2	2	NUM
ejpam-5071	263	5	example	example	NOUN
ejpam-5071	263	6	2(a	2(a	NUM
ejpam-5071	263	7	)	)	PUNCT
ejpam-5071	263	8	.	.	PUNCT
ejpam-5071	264	1	consider	consider	VERB
ejpam-5071	264	2	the	the	DET
ejpam-5071	264	3	nonlinear	nonlinear	ADJ
ejpam-5071	264	4	wsvie	wsvie	NOUN
ejpam-5071	264	5	of	of	ADP
ejpam-5071	264	6	the	the	DET
ejpam-5071	264	7	form	form	NOUN
ejpam-5071	264	8	u(x	u(x	VERB
ejpam-5071	264	9	)	)	PUNCT
ejpam-5071	264	10	=	=	PUNCT
ejpam-5071	265	1	xk1	xk1	PROPN
ejpam-5071	265	2	−	−	PROPN
ejpam-5071	265	3	xγk1	xγk1	PROPN
ejpam-5071	265	4	γk1	γk1	PROPN
ejpam-5071	265	5	+	+	CCONJ
ejpam-5071	265	6	µ	µ	X
ejpam-5071	265	7	+	+	NUM
ejpam-5071	265	8	∫	∫	PROPN
ejpam-5071	265	9	x	x	SYM
ejpam-5071	265	10	0	0	PROPN
ejpam-5071	265	11	tµ−1	tµ−1	VERB
ejpam-5071	265	12	xµ	xµ	PROPN
ejpam-5071	265	13	u(t)3dt	u(t)3dt	PROPN
ejpam-5071	265	14	(	(	PUNCT
ejpam-5071	265	15	26	26	NUM
ejpam-5071	265	16	)	)	PUNCT
ejpam-5071	265	17	k.	k.	PROPN
ejpam-5071	266	1	f.	f.	PROPN
ejpam-5071	266	2	sarfo	sarfo	PROPN
ejpam-5071	266	3	et	et	PROPN
ejpam-5071	266	4	al	al	PROPN
ejpam-5071	266	5	.	.	PUNCT
ejpam-5071	266	6	/	/	SYM
ejpam-5071	266	7	eur	eur	PROPN
ejpam-5071	266	8	.	.	PUNCT
ejpam-5071	267	1	j.	j.	PROPN
ejpam-5071	267	2	pure	pure	PROPN
ejpam-5071	267	3	appl	appl	PROPN
ejpam-5071	267	4	.	.	PROPN
ejpam-5071	267	5	math	math	PROPN
ejpam-5071	267	6	,	,	PUNCT
ejpam-5071	267	7	17	17	NUM
ejpam-5071	267	8	(	(	PUNCT
ejpam-5071	267	9	2	2	NUM
ejpam-5071	267	10	)	)	PUNCT
ejpam-5071	267	11	(	(	PUNCT
ejpam-5071	267	12	2024	2024	NUM
ejpam-5071	267	13	)	)	PUNCT
ejpam-5071	267	14	,	,	PUNCT
ejpam-5071	267	15	1046	1046	NUM
ejpam-5071	267	16	-	-	SYM
ejpam-5071	267	17	1069	1069	NUM
ejpam-5071	267	18	1059	1059	NUM
ejpam-5071	267	19	for	for	ADP
ejpam-5071	267	20	3rd	3rd	ADJ
ejpam-5071	267	21	order	order	NOUN
ejpam-5071	267	22	nonlinear	nonlinear	ADJ
ejpam-5071	267	23	parameter	parameter	NOUN
ejpam-5071	267	24	,	,	PUNCT
ejpam-5071	267	25	γ	γ	X
ejpam-5071	267	26	=	=	SYM
ejpam-5071	267	27	β	β	X
ejpam-5071	267	28	=	=	SYM
ejpam-5071	267	29	3	3	NUM
ejpam-5071	267	30	,	,	PUNCT
ejpam-5071	267	31	µ	µ	X
ejpam-5071	267	32	=	=	SYM
ejpam-5071	267	33	3	3	NUM
ejpam-5071	267	34	2	2	NUM
ejpam-5071	267	35	and	and	CCONJ
ejpam-5071	267	36	k1	k1	NOUN
ejpam-5071	267	37	=	=	SYM
ejpam-5071	267	38	1	1	X
ejpam-5071	267	39	.	.	PUNCT
ejpam-5071	268	1	following	follow	VERB
ejpam-5071	268	2	the	the	DET
ejpam-5071	268	3	algorithm	algorithm	NOUN
ejpam-5071	268	4	in	in	ADP
ejpam-5071	268	5	equation	equation	NOUN
ejpam-5071	268	6	(	(	PUNCT
ejpam-5071	268	7	15	15	NUM
ejpam-5071	268	8	)	)	PUNCT
ejpam-5071	268	9	,	,	PUNCT
ejpam-5071	268	10	the	the	DET
ejpam-5071	268	11	relation	relation	NOUN
ejpam-5071	268	12	between	between	ADP
ejpam-5071	268	13	the	the	DET
ejpam-5071	268	14	final	final	ADJ
ejpam-5071	268	15	series	series	NOUN
ejpam-5071	268	16	solution	solution	NOUN
ejpam-5071	268	17	term	term	NOUN
ejpam-5071	268	18	and	and	CCONJ
ejpam-5071	268	19	the	the	DET
ejpam-5071	268	20	truncation	truncation	NOUN
ejpam-5071	268	21	point	point	NOUN
ejpam-5071	268	22	is	be	AUX
ejpam-5071	268	23	determined	determine	VERB
ejpam-5071	268	24	using	use	VERB
ejpam-5071	268	25	equation	equation	NOUN
ejpam-5071	268	26	(	(	PUNCT
ejpam-5071	268	27	17	17	NUM
ejpam-5071	268	28	)	)	PUNCT
ejpam-5071	268	29	.	.	PUNCT
ejpam-5071	269	1	u0(x	u0(x	X
ejpam-5071	269	2	)	)	PUNCT
ejpam-5071	270	1	=	=	NOUN
ejpam-5071	270	2	f(x)x−	f(x)x−	NOUN
ejpam-5071	270	3	2	2	NUM
ejpam-5071	270	4	9	9	NUM
ejpam-5071	270	5	x3	x3	NOUN
ejpam-5071	270	6	u1(x	u1(x	NOUN
ejpam-5071	270	7	)	)	PUNCT
ejpam-5071	270	8	=	=	SYM
ejpam-5071	270	9	2	2	NUM
ejpam-5071	270	10	9	9	NUM
ejpam-5071	270	11	x3	x3	NOUN
ejpam-5071	270	12	−	−	PROPN
ejpam-5071	270	13	4	4	NUM
ejpam-5071	270	14	39	39	NUM
ejpam-5071	270	15	x5	x5	NOUN
ejpam-5071	270	16	+	+	CCONJ
ejpam-5071	270	17	8	8	NUM
ejpam-5071	270	18	459	459	NUM
ejpam-5071	270	19	x7	x7	NOUN
ejpam-5071	270	20	−	−	PROPN
ejpam-5071	270	21	16	16	NUM
ejpam-5071	270	22	15309	15309	NUM
ejpam-5071	270	23	x9	x9	NOUN
ejpam-5071	270	24	u2(x	u2(x	X
ejpam-5071	270	25	)	)	PUNCT
ejpam-5071	270	26	=	=	SYM
ejpam-5071	270	27	4	4	NUM
ejpam-5071	270	28	39	39	NUM
ejpam-5071	270	29	x5	x5	NOUN
ejpam-5071	270	30	−	−	PROPN
ejpam-5071	270	31	8	8	NUM
ejpam-5071	270	32	459	459	NUM
ejpam-5071	270	33	x7	x7	NOUN
ejpam-5071	270	34	−	−	NUM
ejpam-5071	270	35	8	8	NUM
ejpam-5071	270	36	221	221	NUM
ejpam-5071	270	37	x7	x7	NOUN
ejpam-5071	270	38	+	+	CCONJ
ejpam-5071	270	39	...	...	PUNCT
ejpam-5071	271	1	u3(x	u3(x	X
ejpam-5071	271	2	)	)	PUNCT
ejpam-5071	271	3	=	=	SYM
ejpam-5071	271	4	8	8	NUM
ejpam-5071	271	5	221	221	NUM
ejpam-5071	271	6	x7	x7	NOUN
ejpam-5071	271	7	−	−	PROPN
ejpam-5071	271	8	16	16	NUM
ejpam-5071	271	9	3216	3216	NUM
ejpam-5071	271	10	x9	x9	NOUN
ejpam-5071	271	11	−	−	PROPN
ejpam-5071	271	12	16	16	NUM
ejpam-5071	271	13	1547	1547	NUM
ejpam-5071	271	14	x9	x9	NOUN
ejpam-5071	271	15	+	+	CCONJ
ejpam-5071	271	16	...	...	PUNCT
ejpam-5071	271	17	u4(x	u4(x	X
ejpam-5071	271	18	)	)	PUNCT
ejpam-5071	271	19	=	=	SYM
ejpam-5071	271	20	16	16	NUM
ejpam-5071	271	21	1547	1547	NUM
ejpam-5071	271	22	x9	x9	NOUN
ejpam-5071	271	23	+	+	CCONJ
ejpam-5071	271	24	...	...	PUNCT
ejpam-5071	271	25	u	u	NOUN
ejpam-5071	271	26	=	=	PUNCT
ejpam-5071	271	27	u0	u0	PROPN
ejpam-5071	271	28	+	+	X
ejpam-5071	271	29	...	...	PUNCT
ejpam-5071	272	1	+	+	CCONJ
ejpam-5071	272	2	u4	u4	PROPN
ejpam-5071	272	3	=	=	PROPN
ejpam-5071	272	4	x.	x.	PROPN
ejpam-5071	272	5	example	example	NOUN
ejpam-5071	272	6	2(b	2(b	NUM
ejpam-5071	272	7	)	)	PUNCT
ejpam-5071	272	8	.	.	PUNCT
ejpam-5071	273	1	consider	consider	VERB
ejpam-5071	273	2	the	the	DET
ejpam-5071	273	3	fourth	fourth	ADJ
ejpam-5071	273	4	order	order	NOUN
ejpam-5071	273	5	nonlinear	nonlinear	ADJ
ejpam-5071	273	6	wsvie	wsvie	NOUN
ejpam-5071	273	7	given	give	VERB
ejpam-5071	273	8	by	by	ADP
ejpam-5071	273	9	u(x	u(x	NOUN
ejpam-5071	273	10	)	)	PUNCT
ejpam-5071	273	11	=	=	SYM
ejpam-5071	274	1	xk1	xk1	PROPN
ejpam-5071	274	2	−	−	PROPN
ejpam-5071	274	3	xγk1	xγk1	PROPN
ejpam-5071	274	4	γk1	γk1	PROPN
ejpam-5071	274	5	+	+	CCONJ
ejpam-5071	274	6	µ	µ	X
ejpam-5071	274	7	+	+	NUM
ejpam-5071	274	8	∫	∫	PROPN
ejpam-5071	274	9	x	x	SYM
ejpam-5071	274	10	0	0	PROPN
ejpam-5071	274	11	tµ−1	tµ−1	NOUN
ejpam-5071	274	12	xµ	xµ	X
ejpam-5071	275	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	275	2	(	(	PUNCT
ejpam-5071	275	3	27	27	NUM
ejpam-5071	275	4	)	)	PUNCT
ejpam-5071	275	5	for	for	ADP
ejpam-5071	275	6	fourth	fourth	ADJ
ejpam-5071	275	7	order	order	NOUN
ejpam-5071	275	8	nonlinear	nonlinear	ADJ
ejpam-5071	275	9	parameter	parameter	NOUN
ejpam-5071	275	10	,	,	PUNCT
ejpam-5071	275	11	γ	γ	X
ejpam-5071	275	12	=	=	SYM
ejpam-5071	275	13	β	β	X
ejpam-5071	275	14	=	=	SYM
ejpam-5071	275	15	4	4	NUM
ejpam-5071	275	16	,	,	PUNCT
ejpam-5071	275	17	k1	k1	NOUN
ejpam-5071	275	18	=	=	SYM
ejpam-5071	275	19	1	1	NUM
ejpam-5071	275	20	,	,	PUNCT
ejpam-5071	275	21	µ	µ	NOUN
ejpam-5071	275	22	=	=	SYM
ejpam-5071	275	23	7	7	NUM
ejpam-5071	275	24	2	2	NUM
ejpam-5071	275	25	.	.	PUNCT
ejpam-5071	276	1	following	follow	VERB
ejpam-5071	276	2	the	the	DET
ejpam-5071	276	3	algorithm	algorithm	NOUN
ejpam-5071	276	4	in	in	ADP
ejpam-5071	276	5	equation	equation	NOUN
ejpam-5071	276	6	(	(	PUNCT
ejpam-5071	276	7	15	15	NUM
ejpam-5071	276	8	)	)	PUNCT
ejpam-5071	276	9	,	,	PUNCT
ejpam-5071	276	10	the	the	DET
ejpam-5071	276	11	relation	relation	NOUN
ejpam-5071	276	12	between	between	ADP
ejpam-5071	276	13	the	the	DET
ejpam-5071	276	14	final	final	ADJ
ejpam-5071	276	15	series	series	NOUN
ejpam-5071	276	16	solution	solution	NOUN
ejpam-5071	276	17	term	term	NOUN
ejpam-5071	276	18	and	and	CCONJ
ejpam-5071	276	19	the	the	DET
ejpam-5071	276	20	truncation	truncation	NOUN
ejpam-5071	276	21	point	point	NOUN
ejpam-5071	276	22	is	be	AUX
ejpam-5071	276	23	determined	determine	VERB
ejpam-5071	276	24	using	use	VERB
ejpam-5071	276	25	equation	equation	NOUN
ejpam-5071	276	26	(	(	PUNCT
ejpam-5071	276	27	17	17	NUM
ejpam-5071	276	28	)	)	PUNCT
ejpam-5071	276	29	.	.	PUNCT
ejpam-5071	277	1	u0(x	u0(x	X
ejpam-5071	277	2	)	)	PUNCT
ejpam-5071	277	3	=	=	SYM
ejpam-5071	277	4	f(x	f(x	PROPN
ejpam-5071	277	5	)	)	PUNCT
ejpam-5071	278	1	=	=	SYM
ejpam-5071	278	2	x−	x−	PROPN
ejpam-5071	278	3	2	2	NUM
ejpam-5071	278	4	15	15	NUM
ejpam-5071	278	5	x4	x4	NOUN
ejpam-5071	278	6	u1(x	u1(x	PROPN
ejpam-5071	278	7	)	)	PUNCT
ejpam-5071	278	8	=	=	SYM
ejpam-5071	278	9	2	2	NUM
ejpam-5071	278	10	15	15	NUM
ejpam-5071	278	11	x4	x4	NOUN
ejpam-5071	278	12	−	−	PROPN
ejpam-5071	278	13	16	16	NUM
ejpam-5071	278	14	315	315	NUM
ejpam-5071	278	15	x7	x7	NOUN
ejpam-5071	279	1	+	+	CCONJ
ejpam-5071	279	2	16	16	NUM
ejpam-5071	279	3	2025	2025	NUM
ejpam-5071	279	4	x10	x10	NOUN
ejpam-5071	279	5	−	−	PROPN
ejpam-5071	279	6	64	64	NUM
ejpam-5071	279	7	111375	111375	NUM
ejpam-5071	279	8	x13	x13	NOUN
ejpam-5071	279	9	+	+	CCONJ
ejpam-5071	279	10	...	...	PUNCT
ejpam-5071	280	1	u2(x	u2(x	X
ejpam-5071	280	2	)	)	PUNCT
ejpam-5071	280	3	=	=	SYM
ejpam-5071	281	1	16	16	NUM
ejpam-5071	281	2	315	315	NUM
ejpam-5071	281	3	x7	x7	NOUN
ejpam-5071	281	4	−	−	PROPN
ejpam-5071	281	5	16	16	NUM
ejpam-5071	281	6	2025	2025	NUM
ejpam-5071	281	7	x10	x10	NOUN
ejpam-5071	281	8	−	−	PROPN
ejpam-5071	281	9	128	128	NUM
ejpam-5071	281	10	8505	8505	NUM
ejpam-5071	281	11	x10	x10	NOUN
ejpam-5071	281	12	+	+	CCONJ
ejpam-5071	281	13	64	64	NUM
ejpam-5071	281	14	111375	111375	NUM
ejpam-5071	281	15	x13	x13	NOUN
ejpam-5071	281	16	+	+	CCONJ
ejpam-5071	281	17	256	256	NUM
ejpam-5071	281	18	1002375	1002375	NUM
ejpam-5071	281	19	x13	x13	NOUN
ejpam-5071	282	1	+	+	CCONJ
ejpam-5071	282	2	...	...	PUNCT
ejpam-5071	282	3	u3(x	u3(x	X
ejpam-5071	282	4	)	)	PUNCT
ejpam-5071	282	5	=	=	NOUN
ejpam-5071	282	6	128	128	NUM
ejpam-5071	282	7	8505	8505	NUM
ejpam-5071	282	8	x10	x10	ADP
ejpam-5071	282	9	−	−	PROPN
ejpam-5071	282	10	256	256	NUM
ejpam-5071	282	11	1002375	1002375	NUM
ejpam-5071	282	12	x13	x13	NOUN
ejpam-5071	282	13	−	−	PROPN
ejpam-5071	282	14	1024	1024	NUM
ejpam-5071	282	15	280665	280665	NUM
ejpam-5071	282	16	x13	x13	NOUN
ejpam-5071	282	17	+	+	CCONJ
ejpam-5071	282	18	...	...	PUNCT
ejpam-5071	282	19	u4(x	u4(x	X
ejpam-5071	282	20	)	)	PUNCT
ejpam-5071	282	21	=	=	SYM
ejpam-5071	282	22	1024	1024	NUM
ejpam-5071	282	23	280665	280665	NUM
ejpam-5071	282	24	x13	x13	NOUN
ejpam-5071	282	25	+	+	CCONJ
ejpam-5071	282	26	...	...	PUNCT
ejpam-5071	282	27	u	u	NOUN
ejpam-5071	282	28	=	=	PUNCT
ejpam-5071	282	29	u0	u0	PROPN
ejpam-5071	282	30	+	+	X
ejpam-5071	282	31	...	...	PUNCT
ejpam-5071	282	32	+	+	CCONJ
ejpam-5071	282	33	u4	u4	PROPN
ejpam-5071	282	34	=	=	PROPN
ejpam-5071	282	35	x.	x.	PROPN
ejpam-5071	282	36	example	example	NOUN
ejpam-5071	283	1	2(c).for	2(c).for	NUM
ejpam-5071	283	2	k1	k1	NOUN
ejpam-5071	283	3	=	=	SYM
ejpam-5071	283	4	1	1	NUM
ejpam-5071	283	5	,	,	PUNCT
ejpam-5071	283	6	µ	µ	NOUN
ejpam-5071	283	7	=	=	SYM
ejpam-5071	283	8	3,γ	3,γ	NUM
ejpam-5071	283	9	=	=	PUNCT
ejpam-5071	283	10	β	β	NOUN
ejpam-5071	283	11	=	=	SYM
ejpam-5071	283	12	2	2	NUM
ejpam-5071	283	13	,	,	PUNCT
ejpam-5071	283	14	we	we	PRON
ejpam-5071	283	15	substitute	substitute	VERB
ejpam-5071	283	16	the	the	DET
ejpam-5071	283	17	parameter	parameter	NOUN
ejpam-5071	283	18	values	value	NOUN
ejpam-5071	283	19	in	in	ADP
ejpam-5071	283	20	the	the	DET
ejpam-5071	283	21	2nd	2nd	ADJ
ejpam-5071	283	22	-	-	PUNCT
ejpam-5071	283	23	order	order	NOUN
ejpam-5071	283	24	solution	solution	NOUN
ejpam-5071	283	25	model	model	NOUN
ejpam-5071	283	26	to	to	PART
ejpam-5071	283	27	obtain	obtain	VERB
ejpam-5071	283	28	the	the	DET
ejpam-5071	283	29	solution	solution	NOUN
ejpam-5071	283	30	u(x	u(x	NOUN
ejpam-5071	283	31	)	)	PUNCT
ejpam-5071	283	32	=	=	SYM
ejpam-5071	284	1	x	x	PUNCT
ejpam-5071	284	2	example	example	NOUN
ejpam-5071	284	3	2(d	2(d	NUM
ejpam-5071	284	4	)	)	PUNCT
ejpam-5071	284	5	.	.	PUNCT
ejpam-5071	285	1	for	for	ADP
ejpam-5071	285	2	k1	k1	NOUN
ejpam-5071	285	3	=	=	SYM
ejpam-5071	285	4	1	1	NUM
ejpam-5071	285	5	,	,	PUNCT
ejpam-5071	285	6	µ	µ	X
ejpam-5071	285	7	=	=	SYM
ejpam-5071	285	8	4	4	NUM
ejpam-5071	285	9	3	3	NUM
ejpam-5071	285	10	,	,	PUNCT
ejpam-5071	285	11	γ	γ	X
ejpam-5071	285	12	=	=	SYM
ejpam-5071	285	13	β	β	X
ejpam-5071	285	14	=	=	SYM
ejpam-5071	285	15	5	5	NUM
ejpam-5071	285	16	,	,	PUNCT
ejpam-5071	285	17	we	we	PRON
ejpam-5071	285	18	substitute	substitute	VERB
ejpam-5071	285	19	the	the	DET
ejpam-5071	285	20	parameter	parameter	NOUN
ejpam-5071	285	21	values	value	NOUN
ejpam-5071	285	22	in	in	ADP
ejpam-5071	285	23	the	the	DET
ejpam-5071	285	24	5th	5th	ADJ
ejpam-5071	285	25	-	-	PUNCT
ejpam-5071	285	26	order	order	NOUN
ejpam-5071	285	27	solution	solution	NOUN
ejpam-5071	285	28	model	model	NOUN
ejpam-5071	285	29	to	to	PART
ejpam-5071	285	30	obtain	obtain	VERB
ejpam-5071	285	31	the	the	DET
ejpam-5071	285	32	solution	solution	NOUN
ejpam-5071	285	33	k.	k.	PROPN
ejpam-5071	285	34	f.	f.	PROPN
ejpam-5071	285	35	sarfo	sarfo	PROPN
ejpam-5071	285	36	et	et	PROPN
ejpam-5071	285	37	al	al	PROPN
ejpam-5071	285	38	.	.	PUNCT
ejpam-5071	285	39	/	/	SYM
ejpam-5071	285	40	eur	eur	PROPN
ejpam-5071	285	41	.	.	PUNCT
ejpam-5071	286	1	j.	j.	PROPN
ejpam-5071	286	2	pure	pure	PROPN
ejpam-5071	286	3	appl	appl	PROPN
ejpam-5071	286	4	.	.	PROPN
ejpam-5071	286	5	math	math	PROPN
ejpam-5071	286	6	,	,	PUNCT
ejpam-5071	286	7	17	17	NUM
ejpam-5071	286	8	(	(	PUNCT
ejpam-5071	286	9	2	2	NUM
ejpam-5071	286	10	)	)	PUNCT
ejpam-5071	286	11	(	(	PUNCT
ejpam-5071	286	12	2024	2024	NUM
ejpam-5071	286	13	)	)	PUNCT
ejpam-5071	286	14	,	,	PUNCT
ejpam-5071	286	15	1046	1046	NUM
ejpam-5071	286	16	-	-	SYM
ejpam-5071	286	17	1069	1069	NUM
ejpam-5071	286	18	1060	1060	NUM
ejpam-5071	286	19	u(x	u(x	NOUN
ejpam-5071	286	20	)	)	PUNCT
ejpam-5071	286	21	=	=	SYM
ejpam-5071	287	1	x	x	PUNCT
ejpam-5071	287	2	example	example	NOUN
ejpam-5071	287	3	3(a	3(a	NUM
ejpam-5071	287	4	)	)	PUNCT
ejpam-5071	287	5	.	.	PUNCT
ejpam-5071	288	1	consider	consider	VERB
ejpam-5071	288	2	the	the	DET
ejpam-5071	288	3	3rd	3rd	ADJ
ejpam-5071	288	4	order	order	NOUN
ejpam-5071	288	5	nonlinear	nonlinear	ADJ
ejpam-5071	288	6	wsvie	wsvie	NOUN
ejpam-5071	288	7	given	give	VERB
ejpam-5071	288	8	by	by	ADP
ejpam-5071	288	9	u(x	u(x	NOUN
ejpam-5071	288	10	)	)	PUNCT
ejpam-5071	288	11	=	=	SYM
ejpam-5071	289	1	xk1	xk1	PROPN
ejpam-5071	289	2	−	−	PROPN
ejpam-5071	289	3	xγk1	xγk1	PROPN
ejpam-5071	289	4	γk1	γk1	PROPN
ejpam-5071	289	5	+	+	CCONJ
ejpam-5071	289	6	µ	µ	X
ejpam-5071	289	7	+	+	NUM
ejpam-5071	289	8	∫	∫	PROPN
ejpam-5071	289	9	x	x	SYM
ejpam-5071	289	10	0	0	PROPN
ejpam-5071	289	11	tµ−1	tµ−1	NOUN
ejpam-5071	289	12	xµ	xµ	X
ejpam-5071	290	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	290	2	(	(	PUNCT
ejpam-5071	290	3	28	28	NUM
ejpam-5071	290	4	)	)	PUNCT
ejpam-5071	290	5	for	for	ADP
ejpam-5071	290	6	the	the	DET
ejpam-5071	290	7	3rd	3rd	ADJ
ejpam-5071	290	8	order	order	NOUN
ejpam-5071	290	9	nonlinear	nonlinear	ADJ
ejpam-5071	290	10	parameter	parameter	NOUN
ejpam-5071	290	11	,	,	PUNCT
ejpam-5071	290	12	γ	γ	X
ejpam-5071	290	13	=	=	SYM
ejpam-5071	290	14	β	β	X
ejpam-5071	290	15	=	=	SYM
ejpam-5071	290	16	3	3	NUM
ejpam-5071	290	17	,	,	PUNCT
ejpam-5071	290	18	k1	k1	NOUN
ejpam-5071	290	19	=	=	SYM
ejpam-5071	290	20	1	1	NUM
ejpam-5071	290	21	4	4	NUM
ejpam-5071	290	22	,	,	PUNCT
ejpam-5071	290	23	µ	µ	NOUN
ejpam-5071	290	24	=	=	SYM
ejpam-5071	290	25	5	5	NUM
ejpam-5071	290	26	2	2	NUM
ejpam-5071	290	27	.	.	PUNCT
ejpam-5071	291	1	following	follow	VERB
ejpam-5071	291	2	the	the	DET
ejpam-5071	291	3	algorithm	algorithm	NOUN
ejpam-5071	291	4	in	in	ADP
ejpam-5071	291	5	equation	equation	NOUN
ejpam-5071	291	6	(	(	PUNCT
ejpam-5071	291	7	15	15	NUM
ejpam-5071	291	8	)	)	PUNCT
ejpam-5071	291	9	,	,	PUNCT
ejpam-5071	291	10	the	the	DET
ejpam-5071	291	11	relation	relation	NOUN
ejpam-5071	291	12	between	between	ADP
ejpam-5071	291	13	the	the	DET
ejpam-5071	291	14	final	final	ADJ
ejpam-5071	291	15	series	series	NOUN
ejpam-5071	291	16	solution	solution	NOUN
ejpam-5071	291	17	term	term	NOUN
ejpam-5071	291	18	and	and	CCONJ
ejpam-5071	291	19	the	the	DET
ejpam-5071	291	20	truncation	truncation	NOUN
ejpam-5071	291	21	point	point	NOUN
ejpam-5071	291	22	is	be	AUX
ejpam-5071	291	23	determined	determine	VERB
ejpam-5071	291	24	using	use	VERB
ejpam-5071	291	25	equation	equation	NOUN
ejpam-5071	291	26	(	(	PUNCT
ejpam-5071	291	27	17	17	NUM
ejpam-5071	291	28	)	)	PUNCT
ejpam-5071	291	29	.	.	PUNCT
ejpam-5071	292	1	u0(x	u0(x	X
ejpam-5071	292	2	)	)	PUNCT
ejpam-5071	292	3	=	=	SYM
ejpam-5071	292	4	f(x	f(x	PROPN
ejpam-5071	292	5	)	)	PUNCT
ejpam-5071	292	6	=	=	PUNCT
ejpam-5071	293	1	x	x	SYM
ejpam-5071	293	2	1	1	NUM
ejpam-5071	293	3	4	4	NUM
ejpam-5071	293	4	−	−	NOUN
ejpam-5071	293	5	4	4	NUM
ejpam-5071	293	6	13	13	NUM
ejpam-5071	293	7	x	x	SYM
ejpam-5071	293	8	3	3	NUM
ejpam-5071	293	9	4	4	NUM
ejpam-5071	293	10	u1(x	u1(x	NUM
ejpam-5071	293	11	)	)	PUNCT
ejpam-5071	293	12	=	=	SYM
ejpam-5071	294	1	4	4	NUM
ejpam-5071	294	2	13	13	NUM
ejpam-5071	294	3	x	x	SYM
ejpam-5071	294	4	3	3	NUM
ejpam-5071	294	5	4	4	NUM
ejpam-5071	294	6	−	−	NOUN
ejpam-5071	294	7	16	16	NUM
ejpam-5071	294	8	65	65	NUM
ejpam-5071	294	9	x	x	SYM
ejpam-5071	294	10	5	5	NUM
ejpam-5071	294	11	4	4	NUM
ejpam-5071	294	12	+	+	CCONJ
ejpam-5071	294	13	192	192	NUM
ejpam-5071	294	14	2873	2873	NUM
ejpam-5071	294	15	x	x	SYM
ejpam-5071	294	16	7	7	NUM
ejpam-5071	294	17	4	4	NUM
ejpam-5071	294	18	−	−	NOUN
ejpam-5071	294	19	256	256	NUM
ejpam-5071	294	20	41743	41743	NUM
ejpam-5071	294	21	x	x	SYM
ejpam-5071	294	22	9	9	NUM
ejpam-5071	294	23	4	4	NUM
ejpam-5071	294	24	u2(x	u2(x	NUM
ejpam-5071	294	25	)	)	PUNCT
ejpam-5071	294	26	=	=	PUNCT
ejpam-5071	295	1	16	16	NUM
ejpam-5071	295	2	65	65	NUM
ejpam-5071	295	3	x	x	SYM
ejpam-5071	295	4	5	5	NUM
ejpam-5071	295	5	4	4	NUM
ejpam-5071	295	6	−	−	NOUN
ejpam-5071	295	7	192	192	NUM
ejpam-5071	295	8	2873	2873	NUM
ejpam-5071	295	9	x	x	SYM
ejpam-5071	295	10	7	7	NUM
ejpam-5071	295	11	4	4	NUM
ejpam-5071	295	12	−	−	NUM
ejpam-5071	295	13	192	192	NUM
ejpam-5071	295	14	1105	1105	NUM
ejpam-5071	295	15	x	x	SYM
ejpam-5071	295	16	7	7	NUM
ejpam-5071	295	17	4	4	NUM
ejpam-5071	295	18	+	+	NUM
ejpam-5071	295	19	2304	2304	NUM
ejpam-5071	295	20	54587	54587	NUM
ejpam-5071	295	21	x	x	SYM
ejpam-5071	295	22	9	9	NUM
ejpam-5071	295	23	4	4	NUM
ejpam-5071	295	24	+	+	NUM
ejpam-5071	295	25	256	256	NUM
ejpam-5071	295	26	41304	41304	NUM
ejpam-5071	295	27	x	x	SYM
ejpam-5071	295	28	9	9	NUM
ejpam-5071	295	29	4	4	NUM
ejpam-5071	295	30	+	+	CCONJ
ejpam-5071	295	31	...	...	PUNCT
ejpam-5071	296	1	u3(x	u3(x	X
ejpam-5071	296	2	)	)	PUNCT
ejpam-5071	296	3	=	=	SYM
ejpam-5071	296	4	192	192	NUM
ejpam-5071	296	5	1105	1105	NUM
ejpam-5071	296	6	x	x	SYM
ejpam-5071	296	7	7	7	NUM
ejpam-5071	296	8	4	4	NUM
ejpam-5071	296	9	−	−	NOUN
ejpam-5071	296	10	2304	2304	NUM
ejpam-5071	296	11	54587	54587	NUM
ejpam-5071	296	12	x	x	SYM
ejpam-5071	296	13	9	9	NUM
ejpam-5071	296	14	4	4	NUM
ejpam-5071	296	15	−	−	PROPN
ejpam-5071	296	16	2304	2304	NUM
ejpam-5071	296	17	20995	20995	NUM
ejpam-5071	296	18	x	x	SYM
ejpam-5071	296	19	9	9	NUM
ejpam-5071	296	20	4	4	NUM
ejpam-5071	296	21	+	+	CCONJ
ejpam-5071	296	22	...	...	PUNCT
ejpam-5071	296	23	u4(x	u4(x	X
ejpam-5071	296	24	)	)	PUNCT
ejpam-5071	296	25	=	=	SYM
ejpam-5071	296	26	2304	2304	NUM
ejpam-5071	296	27	20995	20995	NUM
ejpam-5071	296	28	x	x	SYM
ejpam-5071	296	29	9	9	NUM
ejpam-5071	296	30	4	4	NUM
ejpam-5071	296	31	+	+	NUM
ejpam-5071	296	32	...	...	PUNCT
ejpam-5071	296	33	u	u	NOUN
ejpam-5071	296	34	=	=	PUNCT
ejpam-5071	296	35	u0	u0	PROPN
ejpam-5071	296	36	+	+	X
ejpam-5071	296	37	...	...	PUNCT
ejpam-5071	296	38	+	+	CCONJ
ejpam-5071	296	39	u4	u4	X
ejpam-5071	296	40	=	=	NOUN
ejpam-5071	296	41	x	x	SYM
ejpam-5071	296	42	1	1	NUM
ejpam-5071	296	43	4	4	NUM
ejpam-5071	296	44	.	.	PUNCT
ejpam-5071	296	45	example	example	NOUN
ejpam-5071	296	46	3(b	3(b	NUM
ejpam-5071	296	47	)	)	PUNCT
ejpam-5071	296	48	.	.	PUNCT
ejpam-5071	297	1	consider	consider	VERB
ejpam-5071	297	2	the	the	DET
ejpam-5071	297	3	nonlinear	nonlinear	ADJ
ejpam-5071	297	4	wsvie	wsvie	NOUN
ejpam-5071	297	5	of	of	ADP
ejpam-5071	297	6	the	the	DET
ejpam-5071	297	7	form	form	NOUN
ejpam-5071	297	8	,	,	PUNCT
ejpam-5071	297	9	u(x	u(x	NOUN
ejpam-5071	297	10	)	)	PUNCT
ejpam-5071	297	11	=	=	PUNCT
ejpam-5071	298	1	xk1	xk1	PROPN
ejpam-5071	298	2	−	−	PROPN
ejpam-5071	298	3	xγk1	xγk1	PROPN
ejpam-5071	298	4	γk1	γk1	PROPN
ejpam-5071	298	5	+	+	CCONJ
ejpam-5071	298	6	µ	µ	X
ejpam-5071	298	7	+	+	NUM
ejpam-5071	298	8	∫	∫	PROPN
ejpam-5071	298	9	x	x	SYM
ejpam-5071	298	10	0	0	PROPN
ejpam-5071	298	11	tµ−1	tµ−1	NOUN
ejpam-5071	298	12	xµ	xµ	X
ejpam-5071	299	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	299	2	(	(	PUNCT
ejpam-5071	299	3	29	29	NUM
ejpam-5071	299	4	)	)	PUNCT
ejpam-5071	299	5	for	for	ADP
ejpam-5071	299	6	fifth	fifth	ADJ
ejpam-5071	299	7	order	order	NOUN
ejpam-5071	299	8	nonlinear	nonlinear	ADJ
ejpam-5071	299	9	parameter	parameter	NOUN
ejpam-5071	299	10	,	,	PUNCT
ejpam-5071	299	11	γ	γ	X
ejpam-5071	299	12	=	=	SYM
ejpam-5071	299	13	β	β	X
ejpam-5071	299	14	=	=	SYM
ejpam-5071	299	15	5	5	NUM
ejpam-5071	299	16	,	,	PUNCT
ejpam-5071	299	17	k1	k1	NOUN
ejpam-5071	299	18	=	=	SYM
ejpam-5071	299	19	1	1	NUM
ejpam-5071	299	20	4	4	NUM
ejpam-5071	299	21	and	and	CCONJ
ejpam-5071	299	22	µ	µ	NOUN
ejpam-5071	299	23	=	=	SYM
ejpam-5071	299	24	5	5	NUM
ejpam-5071	299	25	4	4	NUM
ejpam-5071	299	26	.	.	PUNCT
ejpam-5071	300	1	following	follow	VERB
ejpam-5071	300	2	the	the	DET
ejpam-5071	300	3	algorithm	algorithm	NOUN
ejpam-5071	300	4	in	in	ADP
ejpam-5071	300	5	equation	equation	NOUN
ejpam-5071	300	6	(	(	PUNCT
ejpam-5071	300	7	15	15	NUM
ejpam-5071	300	8	)	)	PUNCT
ejpam-5071	300	9	,	,	PUNCT
ejpam-5071	300	10	the	the	DET
ejpam-5071	300	11	relation	relation	NOUN
ejpam-5071	300	12	between	between	ADP
ejpam-5071	300	13	the	the	DET
ejpam-5071	300	14	final	final	ADJ
ejpam-5071	300	15	series	series	NOUN
ejpam-5071	300	16	solution	solution	NOUN
ejpam-5071	300	17	term	term	NOUN
ejpam-5071	300	18	and	and	CCONJ
ejpam-5071	300	19	the	the	DET
ejpam-5071	300	20	truncation	truncation	NOUN
ejpam-5071	300	21	point	point	NOUN
ejpam-5071	300	22	is	be	AUX
ejpam-5071	300	23	determined	determine	VERB
ejpam-5071	300	24	using	use	VERB
ejpam-5071	300	25	equation	equation	NOUN
ejpam-5071	300	26	(	(	PUNCT
ejpam-5071	300	27	17	17	NUM
ejpam-5071	300	28	)	)	PUNCT
ejpam-5071	300	29	.	.	PUNCT
ejpam-5071	301	1	u0(x	u0(x	X
ejpam-5071	301	2	)	)	PUNCT
ejpam-5071	301	3	=	=	SYM
ejpam-5071	301	4	f(x	f(x	PROPN
ejpam-5071	301	5	)	)	PUNCT
ejpam-5071	301	6	=	=	PUNCT
ejpam-5071	302	1	x	x	SYM
ejpam-5071	302	2	1	1	NUM
ejpam-5071	302	3	4	4	NUM
ejpam-5071	302	4	−	−	NUM
ejpam-5071	302	5	2	2	NUM
ejpam-5071	302	6	5	5	NUM
ejpam-5071	302	7	x	x	SYM
ejpam-5071	302	8	5	5	NUM
ejpam-5071	302	9	4	4	NUM
ejpam-5071	302	10	u1(x	u1(x	NUM
ejpam-5071	302	11	)	)	PUNCT
ejpam-5071	302	12	=	=	SYM
ejpam-5071	303	1	2	2	NUM
ejpam-5071	303	2	5	5	NUM
ejpam-5071	303	3	x	x	SYM
ejpam-5071	303	4	5	5	NUM
ejpam-5071	303	5	4	4	NUM
ejpam-5071	303	6	−	−	NOUN
ejpam-5071	303	7	4	4	NUM
ejpam-5071	303	8	7	7	NUM
ejpam-5071	303	9	x	x	SYM
ejpam-5071	303	10	9	9	NUM
ejpam-5071	303	11	4	4	NUM
ejpam-5071	303	12	+	+	NUM
ejpam-5071	303	13	16	16	NUM
ejpam-5071	303	14	45	45	NUM
ejpam-5071	303	15	x	x	SYM
ejpam-5071	303	16	13	13	NUM
ejpam-5071	303	17	4	4	NUM
ejpam-5071	303	18	−	−	NOUN
ejpam-5071	303	19	32	32	NUM
ejpam-5071	303	20	275	275	NUM
ejpam-5071	303	21	x	x	SYM
ejpam-5071	303	22	17	17	NUM
ejpam-5071	303	23	4	4	NUM
ejpam-5071	303	24	+	+	CCONJ
ejpam-5071	303	25	32	32	NUM
ejpam-5071	303	26	1625	1625	NUM
ejpam-5071	303	27	x	x	SYM
ejpam-5071	303	28	21	21	NUM
ejpam-5071	303	29	4	4	NUM
ejpam-5071	303	30	+	+	CCONJ
ejpam-5071	303	31	...	...	PUNCT
ejpam-5071	303	32	u2(x	u2(x	X
ejpam-5071	303	33	)	)	PUNCT
ejpam-5071	303	34	=	=	SYM
ejpam-5071	303	35	4	4	NUM
ejpam-5071	303	36	7	7	NUM
ejpam-5071	303	37	x	x	SYM
ejpam-5071	303	38	9	9	NUM
ejpam-5071	303	39	4	4	NUM
ejpam-5071	303	40	−	−	NOUN
ejpam-5071	303	41	16	16	NUM
ejpam-5071	303	42	45	45	NUM
ejpam-5071	303	43	x	x	SYM
ejpam-5071	303	44	13	13	NUM
ejpam-5071	303	45	4	4	NUM
ejpam-5071	303	46	−	−	NUM
ejpam-5071	303	47	40	40	NUM
ejpam-5071	303	48	63	63	NUM
ejpam-5071	303	49	x	x	SYM
ejpam-5071	303	50	13	13	NUM
ejpam-5071	303	51	4	4	NUM
ejpam-5071	303	52	+	+	CCONJ
ejpam-5071	303	53	32	32	NUM
ejpam-5071	303	54	275	275	NUM
ejpam-5071	303	55	x	x	SYM
ejpam-5071	303	56	17	17	NUM
ejpam-5071	303	57	4	4	NUM
ejpam-5071	303	58	+	+	CCONJ
ejpam-5071	303	59	32	32	NUM
ejpam-5071	303	60	99	99	NUM
ejpam-5071	303	61	x	x	SYM
ejpam-5071	303	62	17	17	NUM
ejpam-5071	303	63	4	4	NUM
ejpam-5071	303	64	−	−	PROPN
ejpam-5071	303	65	32	32	NUM
ejpam-5071	303	66	1625	1625	NUM
ejpam-5071	303	67	x	x	SYM
ejpam-5071	303	68	21	21	NUM
ejpam-5071	303	69	4	4	NUM
ejpam-5071	303	70	+	+	NUM
ejpam-5071	303	71	64	64	NUM
ejpam-5071	303	72	715	715	NUM
ejpam-5071	303	73	x	x	SYM
ejpam-5071	303	74	21	21	NUM
ejpam-5071	303	75	4	4	NUM
ejpam-5071	303	76	+	+	SYM
ejpam-5071	303	77	320	320	NUM
ejpam-5071	303	78	637	637	NUM
ejpam-5071	303	79	x	x	SYM
ejpam-5071	303	80	21	21	NUM
ejpam-5071	303	81	4	4	NUM
ejpam-5071	303	82	+	+	CCONJ
ejpam-5071	303	83	...	...	PUNCT
ejpam-5071	304	1	u3(x	u3(x	X
ejpam-5071	304	2	)	)	PUNCT
ejpam-5071	304	3	=	=	NUM
ejpam-5071	305	1	40	40	NUM
ejpam-5071	305	2	63	63	NUM
ejpam-5071	305	3	x	x	SYM
ejpam-5071	305	4	13	13	NUM
ejpam-5071	305	5	4	4	NUM
ejpam-5071	305	6	−	−	PROPN
ejpam-5071	305	7	32	32	NUM
ejpam-5071	305	8	99	99	NUM
ejpam-5071	305	9	x	x	SYM
ejpam-5071	305	10	17	17	NUM
ejpam-5071	305	11	4	4	NUM
ejpam-5071	305	12	−	−	NUM
ejpam-5071	305	13	400	400	NUM
ejpam-5071	305	14	693	693	NUM
ejpam-5071	305	15	x	x	SYM
ejpam-5071	305	16	17	17	NUM
ejpam-5071	305	17	4	4	NUM
ejpam-5071	305	18	+	+	CCONJ
ejpam-5071	305	19	64	64	NUM
ejpam-5071	305	20	715	715	NUM
ejpam-5071	305	21	x	x	SYM
ejpam-5071	305	22	21	21	NUM
ejpam-5071	305	23	4	4	NUM
ejpam-5071	305	24	−	−	PROPN
ejpam-5071	305	25	320	320	NUM
ejpam-5071	305	26	637	637	NUM
ejpam-5071	305	27	x	x	SYM
ejpam-5071	305	28	21	21	NUM
ejpam-5071	305	29	4	4	NUM
ejpam-5071	305	30	+	+	SYM
ejpam-5071	305	31	320	320	NUM
ejpam-5071	305	32	1287	1287	NUM
ejpam-5071	305	33	x	x	SYM
ejpam-5071	305	34	21	21	NUM
ejpam-5071	305	35	4	4	NUM
ejpam-5071	305	36	+	+	CCONJ
ejpam-5071	305	37	...	...	PUNCT
ejpam-5071	306	1	u4(x	u4(x	X
ejpam-5071	306	2	)	)	PUNCT
ejpam-5071	306	3	=	=	NOUN
ejpam-5071	306	4	400	400	NUM
ejpam-5071	306	5	693	693	NUM
ejpam-5071	306	6	x	x	SYM
ejpam-5071	306	7	17	17	NUM
ejpam-5071	306	8	4	4	NUM
ejpam-5071	306	9	−	−	PROPN
ejpam-5071	306	10	320	320	NUM
ejpam-5071	306	11	1287	1287	NUM
ejpam-5071	306	12	x	x	SYM
ejpam-5071	306	13	21	21	NUM
ejpam-5071	306	14	4	4	NUM
ejpam-5071	306	15	−	−	NUM
ejpam-5071	306	16	4000	4000	NUM
ejpam-5071	306	17	9009	9009	NUM
ejpam-5071	306	18	x	x	SYM
ejpam-5071	306	19	21	21	NUM
ejpam-5071	306	20	4	4	NUM
ejpam-5071	306	21	+	+	CCONJ
ejpam-5071	306	22	...	...	PUNCT
ejpam-5071	307	1	u5(x	u5(x	X
ejpam-5071	307	2	)	)	PUNCT
ejpam-5071	307	3	=	=	SYM
ejpam-5071	307	4	4000	4000	NUM
ejpam-5071	307	5	9009	9009	NUM
ejpam-5071	307	6	x	x	SYM
ejpam-5071	307	7	21	21	NUM
ejpam-5071	307	8	4	4	NUM
ejpam-5071	307	9	+	+	CCONJ
ejpam-5071	307	10	...	...	PUNCT
ejpam-5071	307	11	k.	k.	PROPN
ejpam-5071	307	12	f.	f.	PROPN
ejpam-5071	307	13	sarfo	sarfo	PROPN
ejpam-5071	307	14	et	et	PROPN
ejpam-5071	307	15	al	al	PROPN
ejpam-5071	307	16	.	.	PUNCT
ejpam-5071	307	17	/	/	SYM
ejpam-5071	307	18	eur	eur	PROPN
ejpam-5071	307	19	.	.	PUNCT
ejpam-5071	308	1	j.	j.	PROPN
ejpam-5071	308	2	pure	pure	PROPN
ejpam-5071	308	3	appl	appl	PROPN
ejpam-5071	308	4	.	.	PROPN
ejpam-5071	308	5	math	math	PROPN
ejpam-5071	308	6	,	,	PUNCT
ejpam-5071	308	7	17	17	NUM
ejpam-5071	308	8	(	(	PUNCT
ejpam-5071	308	9	2	2	NUM
ejpam-5071	308	10	)	)	PUNCT
ejpam-5071	308	11	(	(	PUNCT
ejpam-5071	308	12	2024	2024	NUM
ejpam-5071	308	13	)	)	PUNCT
ejpam-5071	308	14	,	,	PUNCT
ejpam-5071	308	15	1046	1046	NUM
ejpam-5071	308	16	-	-	SYM
ejpam-5071	308	17	1069	1069	NUM
ejpam-5071	308	18	1061	1061	NUM
ejpam-5071	308	19	u	u	NOUN
ejpam-5071	308	20	=	=	X
ejpam-5071	308	21	u0	u0	PROPN
ejpam-5071	308	22	+	+	CCONJ
ejpam-5071	308	23	...	...	PUNCT
ejpam-5071	308	24	+	+	NUM
ejpam-5071	308	25	u5	u5	ADJ
ejpam-5071	308	26	=	=	SYM
ejpam-5071	308	27	x	x	SYM
ejpam-5071	308	28	1	1	NUM
ejpam-5071	308	29	4	4	NUM
ejpam-5071	308	30	.	.	PUNCT
ejpam-5071	308	31	example	example	NOUN
ejpam-5071	309	1	3(c	3(c	NUM
ejpam-5071	309	2	)	)	PUNCT
ejpam-5071	309	3	.	.	PUNCT
ejpam-5071	310	1	for	for	ADP
ejpam-5071	310	2	k1	k1	NOUN
ejpam-5071	310	3	=	=	SYM
ejpam-5071	310	4	1	1	NUM
ejpam-5071	310	5	4	4	NUM
ejpam-5071	310	6	,	,	PUNCT
ejpam-5071	310	7	µ	µ	X
ejpam-5071	310	8	=	=	SYM
ejpam-5071	310	9	4,γ	4,γ	NUM
ejpam-5071	310	10	=	=	PUNCT
ejpam-5071	310	11	β	β	X
ejpam-5071	310	12	=	=	SYM
ejpam-5071	310	13	4	4	NUM
ejpam-5071	310	14	,	,	PUNCT
ejpam-5071	310	15	we	we	PRON
ejpam-5071	310	16	substitute	substitute	VERB
ejpam-5071	310	17	the	the	DET
ejpam-5071	310	18	parameter	parameter	NOUN
ejpam-5071	310	19	values	value	NOUN
ejpam-5071	310	20	in	in	ADP
ejpam-5071	310	21	the	the	DET
ejpam-5071	310	22	4th	4th	ADJ
ejpam-5071	310	23	-	-	PUNCT
ejpam-5071	310	24	order	order	NOUN
ejpam-5071	310	25	solution	solution	NOUN
ejpam-5071	310	26	model	model	NOUN
ejpam-5071	310	27	to	to	PART
ejpam-5071	310	28	obtain	obtain	VERB
ejpam-5071	310	29	the	the	DET
ejpam-5071	310	30	solution	solution	NOUN
ejpam-5071	310	31	,	,	PUNCT
ejpam-5071	310	32	u(x	u(x	PROPN
ejpam-5071	310	33	)	)	PUNCT
ejpam-5071	311	1	=	=	PUNCT
ejpam-5071	311	2	x	x	SYM
ejpam-5071	311	3	1	1	NUM
ejpam-5071	311	4	4	4	NUM
ejpam-5071	311	5	example	example	NOUN
ejpam-5071	311	6	3(d	3(d	NUM
ejpam-5071	311	7	)	)	PUNCT
ejpam-5071	311	8	.	.	PUNCT
ejpam-5071	312	1	for	for	ADP
ejpam-5071	312	2	k1	k1	NOUN
ejpam-5071	312	3	=	=	SYM
ejpam-5071	312	4	1	1	NUM
ejpam-5071	312	5	4	4	NUM
ejpam-5071	312	6	,	,	PUNCT
ejpam-5071	312	7	µ	µ	NOUN
ejpam-5071	312	8	=	=	SYM
ejpam-5071	312	9	5	5	NUM
ejpam-5071	312	10	2	2	NUM
ejpam-5071	312	11	,	,	PUNCT
ejpam-5071	312	12	γ	γ	X
ejpam-5071	312	13	=	=	SYM
ejpam-5071	312	14	β	β	X
ejpam-5071	312	15	=	=	SYM
ejpam-5071	312	16	2	2	NUM
ejpam-5071	312	17	,	,	PUNCT
ejpam-5071	312	18	we	we	PRON
ejpam-5071	312	19	substitute	substitute	VERB
ejpam-5071	312	20	the	the	DET
ejpam-5071	312	21	parameter	parameter	NOUN
ejpam-5071	312	22	values	value	NOUN
ejpam-5071	312	23	in	in	ADP
ejpam-5071	312	24	the	the	DET
ejpam-5071	312	25	2nd	2nd	ADJ
ejpam-5071	312	26	-	-	PUNCT
ejpam-5071	312	27	order	order	NOUN
ejpam-5071	312	28	solution	solution	NOUN
ejpam-5071	312	29	model	model	NOUN
ejpam-5071	312	30	to	to	PART
ejpam-5071	312	31	obtain	obtain	VERB
ejpam-5071	312	32	the	the	DET
ejpam-5071	312	33	solution	solution	NOUN
ejpam-5071	312	34	,	,	PUNCT
ejpam-5071	312	35	u(x	u(x	PROPN
ejpam-5071	312	36	)	)	PUNCT
ejpam-5071	312	37	=	=	PUNCT
ejpam-5071	312	38	x	x	SYM
ejpam-5071	312	39	1	1	NUM
ejpam-5071	312	40	2	2	NUM
ejpam-5071	312	41	remark	remark	NOUN
ejpam-5071	312	42	1	1	NUM
ejpam-5071	312	43	.	.	PUNCT
ejpam-5071	313	1	the	the	DET
ejpam-5071	313	2	solution	solution	NOUN
ejpam-5071	313	3	for	for	ADP
ejpam-5071	313	4	the	the	DET
ejpam-5071	313	5	above	above	ADJ
ejpam-5071	313	6	six	six	NUM
ejpam-5071	313	7	examples	example	NOUN
ejpam-5071	313	8	is	be	AUX
ejpam-5071	313	9	obtained	obtain	VERB
ejpam-5071	313	10	as	as	ADP
ejpam-5071	313	11	u(x	u(x	NOUN
ejpam-5071	313	12	)	)	PUNCT
ejpam-5071	314	1	=	=	SYM
ejpam-5071	314	2	xk1	xk1	PROPN
ejpam-5071	314	3	,	,	PUNCT
ejpam-5071	314	4	irrespective	irrespective	ADV
ejpam-5071	314	5	of	of	ADP
ejpam-5071	314	6	the	the	DET
ejpam-5071	314	7	values	value	NOUN
ejpam-5071	314	8	of	of	ADP
ejpam-5071	314	9	the	the	DET
ejpam-5071	314	10	assigned	assign	VERB
ejpam-5071	314	11	parameters	parameter	NOUN
ejpam-5071	314	12	defined	define	VERB
ejpam-5071	314	13	for	for	ADP
ejpam-5071	314	14	k1	k1	NOUN
ejpam-5071	314	15	,	,	PUNCT
ejpam-5071	314	16	β	β	X
ejpam-5071	314	17	and	and	CCONJ
ejpam-5071	314	18	µ.	µ.	PROPN
ejpam-5071	314	19	see	see	VERB
ejpam-5071	314	20	verification	verification	NOUN
ejpam-5071	314	21	of	of	ADP
ejpam-5071	314	22	the	the	DET
ejpam-5071	314	23	series	series	NOUN
ejpam-5071	314	24	solution	solution	NOUN
ejpam-5071	314	25	for	for	ADP
ejpam-5071	314	26	various	various	ADJ
ejpam-5071	314	27	β	β	NOUN
ejpam-5071	314	28	solution	solution	NOUN
ejpam-5071	314	29	models	model	NOUN
ejpam-5071	314	30	in	in	ADP
ejpam-5071	314	31	section	section	NOUN
ejpam-5071	314	32	2.2	2.2	NUM
ejpam-5071	314	33	.	.	PUNCT
ejpam-5071	315	1	4	4	X
ejpam-5071	315	2	.	.	X
ejpam-5071	315	3	examples	example	NOUN
ejpam-5071	315	4	for	for	ADP
ejpam-5071	315	5	various	various	ADJ
ejpam-5071	315	6	β	β	NOUN
ejpam-5071	315	7	solution	solution	NOUN
ejpam-5071	315	8	models	model	NOUN
ejpam-5071	315	9	using	use	VERB
ejpam-5071	315	10	the	the	DET
ejpam-5071	315	11	investigation	investigation	NOUN
ejpam-5071	315	12	parameter	parameter	NOUN
ejpam-5071	315	13	0	0	PUNCT
ejpam-5071	315	14	<	<	X
ejpam-5071	315	15	µ	µ	X
ejpam-5071	315	16	≤	≤	ADV
ejpam-5071	315	17	1	1	NUM
ejpam-5071	315	18	in	in	ADP
ejpam-5071	315	19	this	this	DET
ejpam-5071	315	20	section	section	NOUN
ejpam-5071	315	21	,	,	PUNCT
ejpam-5071	315	22	we	we	PRON
ejpam-5071	315	23	examine	examine	VERB
ejpam-5071	315	24	the	the	DET
ejpam-5071	315	25	solutions	solution	NOUN
ejpam-5071	315	26	to	to	PART
ejpam-5071	315	27	nonlinear	nonlinear	ADJ
ejpam-5071	315	28	wsvie	wsvie	ADJ
ejpam-5071	315	29	problems	problem	NOUN
ejpam-5071	315	30	using	use	VERB
ejpam-5071	315	31	the	the	DET
ejpam-5071	315	32	investigation	investigation	NOUN
ejpam-5071	315	33	parameter	parameter	NOUN
ejpam-5071	315	34	µ	µ	PRON
ejpam-5071	315	35	being	be	AUX
ejpam-5071	315	36	0	0	NUM
ejpam-5071	315	37	<	<	X
ejpam-5071	315	38	µ	µ	X
ejpam-5071	315	39	≤	≤	NUM
ejpam-5071	315	40	1	1	NUM
ejpam-5071	315	41	and	and	CCONJ
ejpam-5071	315	42	the	the	DET
ejpam-5071	315	43	nonlinear	nonlinear	ADJ
ejpam-5071	315	44	integer	integer	NOUN
ejpam-5071	315	45	parameter	parameter	PROPN
ejpam-5071	315	46	β	β	PROPN
ejpam-5071	315	47	≥	≥	NUM
ejpam-5071	315	48	2	2	NUM
ejpam-5071	315	49	example	example	NOUN
ejpam-5071	315	50	4(a	4(a	NUM
ejpam-5071	315	51	)	)	PUNCT
ejpam-5071	315	52	.	.	PUNCT
ejpam-5071	316	1	consider	consider	VERB
ejpam-5071	316	2	the	the	DET
ejpam-5071	316	3	nonlinear	nonlinear	ADJ
ejpam-5071	316	4	wsvie	wsvie	NOUN
ejpam-5071	316	5	of	of	ADP
ejpam-5071	316	6	the	the	DET
ejpam-5071	316	7	form	form	NOUN
ejpam-5071	316	8	u(x	u(x	VERB
ejpam-5071	316	9	)	)	PUNCT
ejpam-5071	316	10	=	=	PUNCT
ejpam-5071	317	1	xk1	xk1	PROPN
ejpam-5071	317	2	−	−	PROPN
ejpam-5071	317	3	xγk1	xγk1	PROPN
ejpam-5071	317	4	µ+	µ+	X
ejpam-5071	317	5	γk1	γk1	NOUN
ejpam-5071	317	6	+	+	CCONJ
ejpam-5071	317	7	∫	∫	PROPN
ejpam-5071	317	8	x	x	SYM
ejpam-5071	317	9	0	0	PROPN
ejpam-5071	317	10	tµ−1	tµ−1	NOUN
ejpam-5071	317	11	xµ	xµ	X
ejpam-5071	317	12	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	317	13	(	(	PUNCT
ejpam-5071	317	14	30	30	NUM
ejpam-5071	317	15	)	)	PUNCT
ejpam-5071	317	16	for	for	ADP
ejpam-5071	317	17	the	the	DET
ejpam-5071	317	18	2nd	2nd	ADJ
ejpam-5071	317	19	-	-	PUNCT
ejpam-5071	317	20	order	order	NOUN
ejpam-5071	317	21	nonlinear	nonlinear	ADJ
ejpam-5071	317	22	parameter	parameter	NOUN
ejpam-5071	317	23	,	,	PUNCT
ejpam-5071	317	24	β	β	X
ejpam-5071	317	25	=	=	SYM
ejpam-5071	317	26	γ	γ	X
ejpam-5071	317	27	=	=	SYM
ejpam-5071	317	28	2	2	NUM
ejpam-5071	317	29	,	,	PUNCT
ejpam-5071	317	30	k1	k1	NOUN
ejpam-5071	317	31	=	=	SYM
ejpam-5071	317	32	3	3	NUM
ejpam-5071	317	33	2	2	NUM
ejpam-5071	317	34	and	and	CCONJ
ejpam-5071	317	35	µ	µ	NOUN
ejpam-5071	317	36	=	=	SYM
ejpam-5071	317	37	1	1	NUM
ejpam-5071	317	38	3	3	NUM
ejpam-5071	317	39	.	.	PUNCT
ejpam-5071	318	1	following	follow	VERB
ejpam-5071	318	2	the	the	DET
ejpam-5071	318	3	algorithm	algorithm	NOUN
ejpam-5071	318	4	in	in	ADP
ejpam-5071	318	5	equation	equation	NOUN
ejpam-5071	318	6	(	(	PUNCT
ejpam-5071	318	7	15	15	NUM
ejpam-5071	318	8	)	)	PUNCT
ejpam-5071	318	9	,	,	PUNCT
ejpam-5071	318	10	the	the	DET
ejpam-5071	318	11	relation	relation	NOUN
ejpam-5071	318	12	between	between	ADP
ejpam-5071	318	13	the	the	DET
ejpam-5071	318	14	final	final	ADJ
ejpam-5071	318	15	series	series	NOUN
ejpam-5071	318	16	solution	solution	NOUN
ejpam-5071	318	17	term	term	NOUN
ejpam-5071	318	18	and	and	CCONJ
ejpam-5071	318	19	the	the	DET
ejpam-5071	318	20	truncation	truncation	NOUN
ejpam-5071	318	21	point	point	NOUN
ejpam-5071	318	22	is	be	AUX
ejpam-5071	318	23	determined	determine	VERB
ejpam-5071	318	24	using	use	VERB
ejpam-5071	318	25	equation	equation	NOUN
ejpam-5071	318	26	(	(	PUNCT
ejpam-5071	318	27	17	17	NUM
ejpam-5071	318	28	)	)	PUNCT
ejpam-5071	318	29	.	.	PUNCT
ejpam-5071	319	1	u0(x	u0(x	X
ejpam-5071	319	2	)	)	PUNCT
ejpam-5071	319	3	=	=	SYM
ejpam-5071	319	4	f(x	f(x	PROPN
ejpam-5071	319	5	)	)	PUNCT
ejpam-5071	319	6	=	=	PUNCT
ejpam-5071	320	1	x	x	SYM
ejpam-5071	320	2	3	3	NUM
ejpam-5071	320	3	2	2	NUM
ejpam-5071	320	4	−	−	NOUN
ejpam-5071	320	5	3	3	NUM
ejpam-5071	320	6	10	10	NUM
ejpam-5071	320	7	x3	x3	ADJ
ejpam-5071	320	8	u1(x	u1(x	NOUN
ejpam-5071	320	9	)	)	PUNCT
ejpam-5071	320	10	=	=	SYM
ejpam-5071	320	11	3	3	NUM
ejpam-5071	320	12	10	10	NUM
ejpam-5071	320	13	x3	x3	ADJ
ejpam-5071	320	14	−	−	PROPN
ejpam-5071	320	15	18	18	NUM
ejpam-5071	320	16	145	145	NUM
ejpam-5071	320	17	x	x	SYM
ejpam-5071	320	18	9	9	NUM
ejpam-5071	320	19	2	2	NUM
ejpam-5071	320	20	+	+	CCONJ
ejpam-5071	320	21	27	27	NUM
ejpam-5071	320	22	1900	1900	NUM
ejpam-5071	320	23	x6	x6	PROPN
ejpam-5071	320	24	u2(x	u2(x	NUM
ejpam-5071	320	25	)	)	PUNCT
ejpam-5071	320	26	=	=	PUNCT
ejpam-5071	320	27	18	18	NUM
ejpam-5071	320	28	145	145	NUM
ejpam-5071	320	29	x	x	SYM
ejpam-5071	320	30	9	9	NUM
ejpam-5071	320	31	2	2	NUM
ejpam-5071	320	32	−	−	NUM
ejpam-5071	320	33	27	27	NUM
ejpam-5071	320	34	1900	1900	NUM
ejpam-5071	320	35	x6	x6	NOUN
ejpam-5071	320	36	−	−	PROPN
ejpam-5071	320	37	108	108	NUM
ejpam-5071	320	38	2755	2755	NUM
ejpam-5071	320	39	x6	x6	NOUN
ejpam-5071	320	40	+	+	CCONJ
ejpam-5071	320	41	81	81	NUM
ejpam-5071	320	42	22325	22325	NUM
ejpam-5071	320	43	x	x	SYM
ejpam-5071	320	44	15	15	NUM
ejpam-5071	320	45	2	2	NUM
ejpam-5071	320	46	−	−	NUM
ejpam-5071	320	47	243	243	NUM
ejpam-5071	320	48	147175	147175	NUM
ejpam-5071	320	49	x9	x9	NOUN
ejpam-5071	320	50	−	−	ADP
ejpam-5071	320	51	1458	1458	NUM
ejpam-5071	320	52	4476875	4476875	NUM
ejpam-5071	320	53	x	x	SYM
ejpam-5071	320	54	21	21	NUM
ejpam-5071	320	55	2	2	NUM
ejpam-5071	320	56	+	+	CCONJ
ejpam-5071	320	57	...	...	PUNCT
ejpam-5071	321	1	u3(x	u3(x	X
ejpam-5071	321	2	)	)	PUNCT
ejpam-5071	321	3	=	=	SYM
ejpam-5071	321	4	2916	2916	NUM
ejpam-5071	321	5	148555	148555	NUM
ejpam-5071	321	6	x6	x6	PROPN
ejpam-5071	321	7	−	−	PROPN
ejpam-5071	321	8	81	81	NUM
ejpam-5071	321	9	22325	22325	NUM
ejpam-5071	321	10	x	x	SYM
ejpam-5071	321	11	15	15	NUM
ejpam-5071	321	12	2	2	NUM
ejpam-5071	321	13	−	−	NOUN
ejpam-5071	321	14	1296	1296	NUM
ejpam-5071	321	15	129485	129485	NUM
ejpam-5071	321	16	x	x	SYM
ejpam-5071	321	17	15	15	NUM
ejpam-5071	321	18	2	2	NUM
ejpam-5071	321	19	+	+	CCONJ
ejpam-5071	321	20	243	243	NUM
ejpam-5071	321	21	147175	147175	NUM
ejpam-5071	321	22	x9	x9	NOUN
ejpam-5071	321	23	+	+	CCONJ
ejpam-5071	321	24	243	243	NUM
ejpam-5071	321	25	312550	312550	NUM
ejpam-5071	321	26	x9	x9	NOUN
ejpam-5071	321	27	+	+	CCONJ
ejpam-5071	321	28	1458	1458	NUM
ejpam-5071	321	29	4476875	4476875	NUM
ejpam-5071	321	30	x12	x12	NUM
ejpam-5071	322	1	+	+	CCONJ
ejpam-5071	322	2	2916	2916	NUM
ejpam-5071	322	3	9566375	9566375	NUM
ejpam-5071	322	4	x	x	SYM
ejpam-5071	322	5	21	21	NUM
ejpam-5071	322	6	2	2	NUM
ejpam-5071	322	7	+	+	CCONJ
ejpam-5071	322	8	...	...	PUNCT
ejpam-5071	322	9	u4(x	u4(x	X
ejpam-5071	322	10	)	)	PUNCT
ejpam-5071	322	11	=	=	SYM
ejpam-5071	322	12	1296	1296	NUM
ejpam-5071	322	13	129485	129485	NUM
ejpam-5071	322	14	x	x	SYM
ejpam-5071	322	15	15	15	NUM
ejpam-5071	322	16	2	2	NUM
ejpam-5071	322	17	−	−	NUM
ejpam-5071	322	18	243	243	NUM
ejpam-5071	322	19	312550	312550	NUM
ejpam-5071	322	20	x9	x9	NOUN
ejpam-5071	322	21	−	−	ADP
ejpam-5071	322	22	972	972	NUM
ejpam-5071	322	23	713545	713545	NUM
ejpam-5071	322	24	x9	x9	NOUN
ejpam-5071	322	25	−	−	PROPN
ejpam-5071	322	26	2916	2916	NUM
ejpam-5071	322	27	9566375	9566375	NUM
ejpam-5071	322	28	x	x	SYM
ejpam-5071	322	29	21	21	NUM
ejpam-5071	322	30	2	2	NUM
ejpam-5071	322	31	+	+	CCONJ
ejpam-5071	322	32	1458	1458	NUM
ejpam-5071	322	33	10157875	10157875	NUM
ejpam-5071	322	34	x	x	SYM
ejpam-5071	322	35	21	21	NUM
ejpam-5071	322	36	2	2	NUM
ejpam-5071	322	37	+	+	CCONJ
ejpam-5071	322	38	...	...	PUNCT
ejpam-5071	323	1	u5(x	u5(x	X
ejpam-5071	323	2	)	)	PUNCT
ejpam-5071	323	3	=	=	SYM
ejpam-5071	323	4	972	972	NUM
ejpam-5071	323	5	713545	713545	NUM
ejpam-5071	323	6	x9	x9	NOUN
ejpam-5071	323	7	−	−	PROPN
ejpam-5071	323	8	1458	1458	NUM
ejpam-5071	323	9	10157875	10157875	NUM
ejpam-5071	323	10	x	x	SYM
ejpam-5071	323	11	21	21	NUM
ejpam-5071	323	12	2	2	NUM
ejpam-5071	323	13	−	−	PROPN
ejpam-5071	323	14	23328	23328	NUM
ejpam-5071	323	15	58915675	58915675	NUM
ejpam-5071	323	16	x	x	SYM
ejpam-5071	323	17	21	21	NUM
ejpam-5071	323	18	2	2	NUM
ejpam-5071	323	19	+	+	CCONJ
ejpam-5071	323	20	...	...	PUNCT
ejpam-5071	323	21	u6(x	u6(x	PROPN
ejpam-5071	323	22	)	)	PUNCT
ejpam-5071	323	23	=	=	SYM
ejpam-5071	323	24	23328	23328	NUM
ejpam-5071	323	25	58915675	58915675	NUM
ejpam-5071	323	26	x	x	SYM
ejpam-5071	323	27	21	21	NUM
ejpam-5071	323	28	2	2	NUM
ejpam-5071	323	29	+	+	CCONJ
ejpam-5071	323	30	...	...	PUNCT
ejpam-5071	323	31	u(x	u(x	PROPN
ejpam-5071	323	32	)	)	PUNCT
ejpam-5071	324	1	=	=	SYM
ejpam-5071	324	2	6∑	6∑	NUM
ejpam-5071	324	3	n=0	n=0	NUM
ejpam-5071	324	4	un	un	NOUN
ejpam-5071	325	1	=	=	NOUN
ejpam-5071	325	2	x	x	SYM
ejpam-5071	325	3	3	3	NUM
ejpam-5071	325	4	2	2	NUM
ejpam-5071	325	5	k.	k.	PROPN
ejpam-5071	325	6	f.	f.	PROPN
ejpam-5071	325	7	sarfo	sarfo	PROPN
ejpam-5071	325	8	et	et	PROPN
ejpam-5071	325	9	al	al	PROPN
ejpam-5071	325	10	.	.	PUNCT
ejpam-5071	325	11	/	/	SYM
ejpam-5071	325	12	eur	eur	PROPN
ejpam-5071	325	13	.	.	PUNCT
ejpam-5071	326	1	j.	j.	PROPN
ejpam-5071	326	2	pure	pure	PROPN
ejpam-5071	326	3	appl	appl	PROPN
ejpam-5071	326	4	.	.	PROPN
ejpam-5071	326	5	math	math	PROPN
ejpam-5071	326	6	,	,	PUNCT
ejpam-5071	326	7	17	17	NUM
ejpam-5071	326	8	(	(	PUNCT
ejpam-5071	326	9	2	2	NUM
ejpam-5071	326	10	)	)	PUNCT
ejpam-5071	326	11	(	(	PUNCT
ejpam-5071	326	12	2024	2024	NUM
ejpam-5071	326	13	)	)	PUNCT
ejpam-5071	326	14	,	,	PUNCT
ejpam-5071	326	15	1046	1046	NUM
ejpam-5071	326	16	-	-	SYM
ejpam-5071	326	17	1069	1069	NUM
ejpam-5071	326	18	1062	1062	NUM
ejpam-5071	326	19	example	example	NOUN
ejpam-5071	326	20	4(b	4(b	NUM
ejpam-5071	326	21	)	)	PUNCT
ejpam-5071	326	22	.	.	PUNCT
ejpam-5071	327	1	consider	consider	VERB
ejpam-5071	327	2	the	the	DET
ejpam-5071	327	3	nonlinear	nonlinear	ADJ
ejpam-5071	327	4	wsvie	wsvie	NOUN
ejpam-5071	327	5	of	of	ADP
ejpam-5071	327	6	the	the	DET
ejpam-5071	327	7	form	form	NOUN
ejpam-5071	327	8	u(x	u(x	VERB
ejpam-5071	327	9	)	)	PUNCT
ejpam-5071	327	10	=	=	PUNCT
ejpam-5071	328	1	xk1	xk1	PROPN
ejpam-5071	328	2	−	−	PROPN
ejpam-5071	328	3	xγk1	xγk1	PROPN
ejpam-5071	328	4	µ+	µ+	X
ejpam-5071	328	5	γk1	γk1	NOUN
ejpam-5071	328	6	+	+	CCONJ
ejpam-5071	328	7	∫	∫	PROPN
ejpam-5071	328	8	x	x	SYM
ejpam-5071	328	9	0	0	PROPN
ejpam-5071	328	10	tµ−1	tµ−1	NOUN
ejpam-5071	328	11	xµ	xµ	X
ejpam-5071	328	12	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	328	13	(	(	PUNCT
ejpam-5071	328	14	31	31	NUM
ejpam-5071	328	15	)	)	PUNCT
ejpam-5071	328	16	for	for	ADP
ejpam-5071	328	17	3rd	3rd	ADJ
ejpam-5071	328	18	order	order	NOUN
ejpam-5071	328	19	nonlinear	nonlinear	ADJ
ejpam-5071	328	20	parameter	parameter	NOUN
ejpam-5071	328	21	,	,	PUNCT
ejpam-5071	328	22	β	β	X
ejpam-5071	328	23	=	=	SYM
ejpam-5071	328	24	γ	γ	X
ejpam-5071	328	25	=	=	SYM
ejpam-5071	328	26	3	3	NUM
ejpam-5071	328	27	,	,	PUNCT
ejpam-5071	328	28	k1	k1	NOUN
ejpam-5071	328	29	=	=	SYM
ejpam-5071	328	30	3	3	NUM
ejpam-5071	328	31	2	2	NUM
ejpam-5071	328	32	,	,	PUNCT
ejpam-5071	328	33	µ	µ	NOUN
ejpam-5071	328	34	=	=	SYM
ejpam-5071	328	35	1	1	NUM
ejpam-5071	328	36	.	.	PUNCT
ejpam-5071	329	1	following	follow	VERB
ejpam-5071	329	2	the	the	DET
ejpam-5071	329	3	algorithm	algorithm	NOUN
ejpam-5071	329	4	in	in	ADP
ejpam-5071	329	5	equation	equation	NOUN
ejpam-5071	329	6	(	(	PUNCT
ejpam-5071	329	7	15	15	NUM
ejpam-5071	329	8	)	)	PUNCT
ejpam-5071	329	9	,	,	PUNCT
ejpam-5071	329	10	the	the	DET
ejpam-5071	329	11	relation	relation	NOUN
ejpam-5071	329	12	between	between	ADP
ejpam-5071	329	13	the	the	DET
ejpam-5071	329	14	final	final	ADJ
ejpam-5071	329	15	series	series	NOUN
ejpam-5071	329	16	solution	solution	NOUN
ejpam-5071	329	17	term	term	NOUN
ejpam-5071	329	18	and	and	CCONJ
ejpam-5071	329	19	the	the	DET
ejpam-5071	329	20	truncation	truncation	NOUN
ejpam-5071	329	21	point	point	NOUN
ejpam-5071	329	22	is	be	AUX
ejpam-5071	329	23	determined	determine	VERB
ejpam-5071	329	24	using	use	VERB
ejpam-5071	329	25	equation	equation	NOUN
ejpam-5071	329	26	(	(	PUNCT
ejpam-5071	329	27	17	17	NUM
ejpam-5071	329	28	)	)	PUNCT
ejpam-5071	329	29	.	.	PUNCT
ejpam-5071	330	1	u0(x	u0(x	X
ejpam-5071	330	2	)	)	PUNCT
ejpam-5071	330	3	=	=	SYM
ejpam-5071	330	4	f(x	f(x	PROPN
ejpam-5071	330	5	)	)	PUNCT
ejpam-5071	330	6	=	=	PUNCT
ejpam-5071	331	1	x	x	SYM
ejpam-5071	331	2	3	3	NUM
ejpam-5071	331	3	2	2	NUM
ejpam-5071	331	4	−	−	NOUN
ejpam-5071	331	5	2	2	NUM
ejpam-5071	331	6	11	11	NUM
ejpam-5071	331	7	x	x	SYM
ejpam-5071	331	8	9	9	NUM
ejpam-5071	331	9	2	2	NUM
ejpam-5071	331	10	u1(x	u1(x	NUM
ejpam-5071	331	11	)	)	PUNCT
ejpam-5071	331	12	=	=	SYM
ejpam-5071	331	13	2	2	NUM
ejpam-5071	331	14	11	11	NUM
ejpam-5071	331	15	x	x	SYM
ejpam-5071	331	16	9	9	NUM
ejpam-5071	331	17	2	2	NUM
ejpam-5071	331	18	−	−	PROPN
ejpam-5071	331	19	12	12	NUM
ejpam-5071	331	20	187	187	NUM
ejpam-5071	331	21	x	x	SYM
ejpam-5071	331	22	15	15	NUM
ejpam-5071	331	23	2	2	NUM
ejpam-5071	331	24	+	+	NUM
ejpam-5071	331	25	24	24	NUM
ejpam-5071	331	26	2783	2783	NUM
ejpam-5071	331	27	x	x	SYM
ejpam-5071	331	28	21	21	NUM
ejpam-5071	331	29	2	2	NUM
ejpam-5071	331	30	−	−	NUM
ejpam-5071	331	31	16	16	NUM
ejpam-5071	331	32	38599	38599	NUM
ejpam-5071	331	33	x	x	SYM
ejpam-5071	331	34	27	27	NUM
ejpam-5071	331	35	2	2	NUM
ejpam-5071	331	36	u2(x	u2(x	NOUN
ejpam-5071	331	37	)	)	PUNCT
ejpam-5071	331	38	=	=	PUNCT
ejpam-5071	332	1	12	12	NUM
ejpam-5071	332	2	187	187	NUM
ejpam-5071	332	3	x	x	SYM
ejpam-5071	332	4	15	15	NUM
ejpam-5071	332	5	2	2	NUM
ejpam-5071	332	6	−	−	NOUN
ejpam-5071	332	7	24	24	NUM
ejpam-5071	332	8	2783	2783	NUM
ejpam-5071	332	9	x	x	SYM
ejpam-5071	332	10	21	21	NUM
ejpam-5071	332	11	2	2	NUM
ejpam-5071	332	12	−	−	NUM
ejpam-5071	332	13	72	72	NUM
ejpam-5071	332	14	4301	4301	NUM
ejpam-5071	332	15	x	x	SYM
ejpam-5071	332	16	21	21	NUM
ejpam-5071	332	17	2	2	NUM
ejpam-5071	332	18	+	+	CCONJ
ejpam-5071	332	19	144	144	NUM
ejpam-5071	332	20	80707	80707	NUM
ejpam-5071	332	21	x	x	SYM
ejpam-5071	332	22	27	27	NUM
ejpam-5071	332	23	2	2	NUM
ejpam-5071	332	24	+	+	CCONJ
ejpam-5071	332	25	16	16	NUM
ejpam-5071	332	26	38599	38599	NUM
ejpam-5071	332	27	x	x	SYM
ejpam-5071	332	28	27	27	NUM
ejpam-5071	332	29	2	2	NUM
ejpam-5071	332	30	+	+	CCONJ
ejpam-5071	332	31	...	...	PUNCT
ejpam-5071	332	32	u3(x	u3(x	X
ejpam-5071	332	33	)	)	PUNCT
ejpam-5071	332	34	=	=	SYM
ejpam-5071	332	35	72	72	NUM
ejpam-5071	332	36	4301	4301	NUM
ejpam-5071	332	37	x	x	SYM
ejpam-5071	332	38	21	21	NUM
ejpam-5071	332	39	2	2	NUM
ejpam-5071	332	40	−	−	PROPN
ejpam-5071	332	41	144	144	NUM
ejpam-5071	332	42	80707	80707	NUM
ejpam-5071	332	43	x	x	SYM
ejpam-5071	332	44	27	27	NUM
ejpam-5071	332	45	2	2	NUM
ejpam-5071	332	46	−	−	NOUN
ejpam-5071	332	47	432	432	NUM
ejpam-5071	332	48	124729	124729	NUM
ejpam-5071	332	49	x	x	SYM
ejpam-5071	332	50	27	27	NUM
ejpam-5071	332	51	2	2	NUM
ejpam-5071	332	52	+	+	CCONJ
ejpam-5071	332	53	...	...	PUNCT
ejpam-5071	332	54	u4(x	u4(x	X
ejpam-5071	332	55	)	)	PUNCT
ejpam-5071	332	56	=	=	SYM
ejpam-5071	332	57	432	432	NUM
ejpam-5071	332	58	124729	124729	NUM
ejpam-5071	332	59	x	x	SYM
ejpam-5071	332	60	27	27	NUM
ejpam-5071	332	61	2	2	NUM
ejpam-5071	332	62	+	+	CCONJ
ejpam-5071	332	63	...	...	PUNCT
ejpam-5071	332	64	u(x	u(x	PROPN
ejpam-5071	332	65	)	)	PUNCT
ejpam-5071	333	1	=	=	SYM
ejpam-5071	333	2	4∑	4∑	PROPN
ejpam-5071	333	3	n=0	n=0	NUM
ejpam-5071	333	4	un	un	NOUN
ejpam-5071	334	1	=	=	NOUN
ejpam-5071	334	2	x	x	SYM
ejpam-5071	334	3	3	3	NUM
ejpam-5071	334	4	2	2	NUM
ejpam-5071	334	5	.	.	PUNCT
ejpam-5071	334	6	example	example	NOUN
ejpam-5071	334	7	5(a	5(a	NUM
ejpam-5071	334	8	)	)	PUNCT
ejpam-5071	334	9	.	.	PUNCT
ejpam-5071	335	1	consider	consider	VERB
ejpam-5071	335	2	the	the	DET
ejpam-5071	335	3	nonlinear	nonlinear	ADJ
ejpam-5071	335	4	wsvie	wsvie	NOUN
ejpam-5071	335	5	of	of	ADP
ejpam-5071	335	6	the	the	DET
ejpam-5071	335	7	form	form	NOUN
ejpam-5071	335	8	,	,	PUNCT
ejpam-5071	335	9	u(x	u(x	NOUN
ejpam-5071	335	10	)	)	PUNCT
ejpam-5071	335	11	=	=	PUNCT
ejpam-5071	336	1	xk1	xk1	PROPN
ejpam-5071	336	2	−	−	PROPN
ejpam-5071	336	3	xγk1	xγk1	PROPN
ejpam-5071	336	4	µ+	µ+	X
ejpam-5071	336	5	γk1	γk1	NOUN
ejpam-5071	336	6	+	+	CCONJ
ejpam-5071	336	7	∫	∫	PROPN
ejpam-5071	336	8	x	x	SYM
ejpam-5071	336	9	0	0	PROPN
ejpam-5071	336	10	tµ−1	tµ−1	VERB
ejpam-5071	336	11	xµ	xµ	X
ejpam-5071	336	12	u(t)βdt	u(t)βdt	NOUN
ejpam-5071	336	13	for	for	ADP
ejpam-5071	336	14	the	the	DET
ejpam-5071	336	15	3rd	3rd	ADJ
ejpam-5071	336	16	order	order	NOUN
ejpam-5071	336	17	nonlinear	nonlinear	ADJ
ejpam-5071	336	18	parameter	parameter	NOUN
ejpam-5071	336	19	,	,	PUNCT
ejpam-5071	336	20	β	β	X
ejpam-5071	336	21	=	=	SYM
ejpam-5071	336	22	γ	γ	X
ejpam-5071	336	23	=	=	SYM
ejpam-5071	336	24	3	3	NUM
ejpam-5071	336	25	,	,	PUNCT
ejpam-5071	336	26	k1	k1	NOUN
ejpam-5071	336	27	=	=	SYM
ejpam-5071	336	28	1	1	NUM
ejpam-5071	336	29	4	4	NUM
ejpam-5071	336	30	,	,	PUNCT
ejpam-5071	336	31	µ	µ	NOUN
ejpam-5071	336	32	=	=	SYM
ejpam-5071	336	33	1	1	NUM
ejpam-5071	336	34	2	2	NUM
ejpam-5071	336	35	.	.	PUNCT
ejpam-5071	337	1	following	follow	VERB
ejpam-5071	337	2	the	the	DET
ejpam-5071	337	3	algorithm	algorithm	NOUN
ejpam-5071	337	4	in	in	ADP
ejpam-5071	337	5	equation	equation	NOUN
ejpam-5071	337	6	(	(	PUNCT
ejpam-5071	337	7	15	15	NUM
ejpam-5071	337	8	)	)	PUNCT
ejpam-5071	337	9	,	,	PUNCT
ejpam-5071	337	10	the	the	DET
ejpam-5071	337	11	relation	relation	NOUN
ejpam-5071	337	12	between	between	ADP
ejpam-5071	337	13	the	the	DET
ejpam-5071	337	14	final	final	ADJ
ejpam-5071	337	15	series	series	NOUN
ejpam-5071	337	16	solution	solution	NOUN
ejpam-5071	337	17	term	term	NOUN
ejpam-5071	337	18	and	and	CCONJ
ejpam-5071	337	19	the	the	DET
ejpam-5071	337	20	truncation	truncation	NOUN
ejpam-5071	337	21	point	point	NOUN
ejpam-5071	337	22	is	be	AUX
ejpam-5071	337	23	determined	determine	VERB
ejpam-5071	337	24	using	use	VERB
ejpam-5071	337	25	equation	equation	NOUN
ejpam-5071	337	26	(	(	PUNCT
ejpam-5071	337	27	17	17	NUM
ejpam-5071	337	28	)	)	PUNCT
ejpam-5071	337	29	.	.	PUNCT
ejpam-5071	338	1	u0(x	u0(x	X
ejpam-5071	338	2	)	)	PUNCT
ejpam-5071	338	3	=	=	SYM
ejpam-5071	338	4	f(x	f(x	PROPN
ejpam-5071	338	5	)	)	PUNCT
ejpam-5071	338	6	=	=	PUNCT
ejpam-5071	339	1	x	x	SYM
ejpam-5071	339	2	1	1	NUM
ejpam-5071	339	3	4	4	NUM
ejpam-5071	339	4	−	−	NOUN
ejpam-5071	339	5	4	4	NUM
ejpam-5071	339	6	5	5	NUM
ejpam-5071	339	7	x	x	SYM
ejpam-5071	339	8	3	3	NUM
ejpam-5071	339	9	4	4	NUM
ejpam-5071	339	10	u1(x	u1(x	NUM
ejpam-5071	339	11	)	)	PUNCT
ejpam-5071	339	12	=	=	SYM
ejpam-5071	340	1	4	4	NUM
ejpam-5071	340	2	5	5	NUM
ejpam-5071	340	3	x	x	SYM
ejpam-5071	340	4	3	3	NUM
ejpam-5071	340	5	4	4	NUM
ejpam-5071	340	6	−	−	NOUN
ejpam-5071	340	7	48	48	NUM
ejpam-5071	340	8	65	65	NUM
ejpam-5071	340	9	x	x	SYM
ejpam-5071	340	10	5	5	NUM
ejpam-5071	340	11	4	4	NUM
ejpam-5071	340	12	+	+	CCONJ
ejpam-5071	340	13	64	64	NUM
ejpam-5071	340	14	75	75	NUM
ejpam-5071	340	15	x	x	SYM
ejpam-5071	340	16	7	7	NUM
ejpam-5071	340	17	4	4	NUM
ejpam-5071	340	18	−	−	NOUN
ejpam-5071	340	19	256	256	NUM
ejpam-5071	340	20	1375	1375	NUM
ejpam-5071	340	21	x	x	SYM
ejpam-5071	340	22	9	9	NUM
ejpam-5071	340	23	4	4	NUM
ejpam-5071	340	24	u2(x	u2(x	NUM
ejpam-5071	340	25	)	)	PUNCT
ejpam-5071	340	26	=	=	PUNCT
ejpam-5071	341	1	48	48	NUM
ejpam-5071	341	2	65	65	NUM
ejpam-5071	341	3	x	x	SYM
ejpam-5071	341	4	5	5	NUM
ejpam-5071	341	5	4	4	NUM
ejpam-5071	341	6	−	−	NOUN
ejpam-5071	341	7	64	64	NUM
ejpam-5071	341	8	75	75	NUM
ejpam-5071	341	9	x	x	SYM
ejpam-5071	341	10	7	7	NUM
ejpam-5071	341	11	4	4	NUM
ejpam-5071	341	12	−	−	NUM
ejpam-5071	341	13	64	64	NUM
ejpam-5071	341	14	35	35	NUM
ejpam-5071	341	15	x	x	SYM
ejpam-5071	341	16	7	7	NUM
ejpam-5071	341	17	4	4	NUM
ejpam-5071	341	18	+	+	CCONJ
ejpam-5071	341	19	256	256	NUM
ejpam-5071	341	20	1375	1375	NUM
ejpam-5071	341	21	x	x	SYM
ejpam-5071	341	22	9	9	NUM
ejpam-5071	341	23	4	4	NUM
ejpam-5071	341	24	+	+	CCONJ
ejpam-5071	341	25	256	256	NUM
ejpam-5071	341	26	275	275	NUM
ejpam-5071	341	27	x	x	SYM
ejpam-5071	341	28	9	9	NUM
ejpam-5071	341	29	4	4	NUM
ejpam-5071	341	30	+	+	CCONJ
ejpam-5071	341	31	...	...	PUNCT
ejpam-5071	342	1	u3(x	u3(x	X
ejpam-5071	342	2	)	)	PUNCT
ejpam-5071	342	3	=	=	SYM
ejpam-5071	342	4	64	64	NUM
ejpam-5071	342	5	35	35	NUM
ejpam-5071	342	6	x	x	SYM
ejpam-5071	342	7	7	7	NUM
ejpam-5071	342	8	4	4	NUM
ejpam-5071	342	9	−	−	NOUN
ejpam-5071	342	10	256	256	NUM
ejpam-5071	342	11	275	275	NUM
ejpam-5071	342	12	x	x	SYM
ejpam-5071	342	13	9	9	NUM
ejpam-5071	342	14	4	4	NUM
ejpam-5071	342	15	−	−	PROPN
ejpam-5071	342	16	6912	6912	NUM
ejpam-5071	342	17	3465	3465	NUM
ejpam-5071	342	18	x	x	SYM
ejpam-5071	342	19	9	9	NUM
ejpam-5071	342	20	4	4	NUM
ejpam-5071	342	21	+	+	CCONJ
ejpam-5071	342	22	...	...	PUNCT
ejpam-5071	342	23	u4(x	u4(x	X
ejpam-5071	342	24	)	)	PUNCT
ejpam-5071	342	25	=	=	SYM
ejpam-5071	342	26	6912	6912	NUM
ejpam-5071	342	27	3465	3465	NUM
ejpam-5071	342	28	x	x	SYM
ejpam-5071	342	29	9	9	NUM
ejpam-5071	342	30	4	4	NUM
ejpam-5071	342	31	+	+	CCONJ
ejpam-5071	342	32	...	...	PUNCT
ejpam-5071	342	33	u(x	u(x	PROPN
ejpam-5071	342	34	)	)	PUNCT
ejpam-5071	342	35	=	=	SYM
ejpam-5071	342	36	4∑	4∑	PROPN
ejpam-5071	342	37	n=0	n=0	NUM
ejpam-5071	342	38	un	un	NOUN
ejpam-5071	343	1	=	=	NOUN
ejpam-5071	343	2	x	x	SYM
ejpam-5071	343	3	1	1	NUM
ejpam-5071	343	4	4	4	NUM
ejpam-5071	343	5	.	.	PUNCT
ejpam-5071	344	1	k.	k.	PROPN
ejpam-5071	344	2	f.	f.	PROPN
ejpam-5071	344	3	sarfo	sarfo	PROPN
ejpam-5071	344	4	et	et	PROPN
ejpam-5071	344	5	al	al	PROPN
ejpam-5071	344	6	.	.	PUNCT
ejpam-5071	344	7	/	/	SYM
ejpam-5071	344	8	eur	eur	PROPN
ejpam-5071	344	9	.	.	PUNCT
ejpam-5071	345	1	j.	j.	PROPN
ejpam-5071	345	2	pure	pure	PROPN
ejpam-5071	345	3	appl	appl	PROPN
ejpam-5071	345	4	.	.	PROPN
ejpam-5071	345	5	math	math	PROPN
ejpam-5071	345	6	,	,	PUNCT
ejpam-5071	345	7	17	17	NUM
ejpam-5071	345	8	(	(	PUNCT
ejpam-5071	345	9	2	2	NUM
ejpam-5071	345	10	)	)	PUNCT
ejpam-5071	345	11	(	(	PUNCT
ejpam-5071	345	12	2024	2024	NUM
ejpam-5071	345	13	)	)	PUNCT
ejpam-5071	345	14	,	,	PUNCT
ejpam-5071	345	15	1046	1046	NUM
ejpam-5071	345	16	-	-	SYM
ejpam-5071	345	17	1069	1069	NUM
ejpam-5071	345	18	1063	1063	NUM
ejpam-5071	345	19	example	example	NOUN
ejpam-5071	345	20	5(b	5(b	NUM
ejpam-5071	345	21	)	)	PUNCT
ejpam-5071	345	22	.	.	PUNCT
ejpam-5071	346	1	consider	consider	VERB
ejpam-5071	346	2	the	the	DET
ejpam-5071	346	3	nonlinear	nonlinear	ADJ
ejpam-5071	346	4	wsvie	wsvie	NOUN
ejpam-5071	346	5	of	of	ADP
ejpam-5071	346	6	the	the	DET
ejpam-5071	346	7	form	form	NOUN
ejpam-5071	346	8	,	,	PUNCT
ejpam-5071	346	9	u(x	u(x	NOUN
ejpam-5071	346	10	)	)	PUNCT
ejpam-5071	346	11	=	=	PUNCT
ejpam-5071	347	1	xk1	xk1	PROPN
ejpam-5071	347	2	−	−	PROPN
ejpam-5071	347	3	xγk1	xγk1	PROPN
ejpam-5071	347	4	µ+	µ+	X
ejpam-5071	347	5	γk1	γk1	NOUN
ejpam-5071	347	6	+	+	CCONJ
ejpam-5071	347	7	∫	∫	PROPN
ejpam-5071	347	8	x	x	SYM
ejpam-5071	347	9	0	0	PROPN
ejpam-5071	347	10	tµ−1	tµ−1	NOUN
ejpam-5071	347	11	xµ	xµ	X
ejpam-5071	347	12	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	347	13	(	(	PUNCT
ejpam-5071	347	14	32	32	NUM
ejpam-5071	347	15	)	)	PUNCT
ejpam-5071	347	16	5th	5th	ADJ
ejpam-5071	347	17	-	-	PUNCT
ejpam-5071	347	18	order	order	NOUN
ejpam-5071	347	19	nonlinear	nonlinear	ADJ
ejpam-5071	347	20	parameter	parameter	NOUN
ejpam-5071	347	21	with	with	ADP
ejpam-5071	347	22	β	β	X
ejpam-5071	347	23	=	=	SYM
ejpam-5071	347	24	γ	γ	X
ejpam-5071	347	25	=	=	SYM
ejpam-5071	347	26	5	5	NUM
ejpam-5071	347	27	,	,	PUNCT
ejpam-5071	347	28	k1	k1	NOUN
ejpam-5071	347	29	=	=	SYM
ejpam-5071	347	30	1	1	NUM
ejpam-5071	347	31	and	and	CCONJ
ejpam-5071	347	32	µ	µ	X
ejpam-5071	347	33	=	=	SYM
ejpam-5071	347	34	3	3	NUM
ejpam-5071	347	35	4	4	NUM
ejpam-5071	347	36	.	.	PUNCT
ejpam-5071	348	1	following	follow	VERB
ejpam-5071	348	2	the	the	DET
ejpam-5071	348	3	algorithm	algorithm	NOUN
ejpam-5071	348	4	in	in	ADP
ejpam-5071	348	5	equation	equation	NOUN
ejpam-5071	348	6	(	(	PUNCT
ejpam-5071	348	7	15	15	NUM
ejpam-5071	348	8	)	)	PUNCT
ejpam-5071	348	9	,	,	PUNCT
ejpam-5071	348	10	the	the	DET
ejpam-5071	348	11	relation	relation	NOUN
ejpam-5071	348	12	between	between	ADP
ejpam-5071	348	13	the	the	DET
ejpam-5071	348	14	final	final	ADJ
ejpam-5071	348	15	series	series	NOUN
ejpam-5071	348	16	solution	solution	NOUN
ejpam-5071	348	17	term	term	NOUN
ejpam-5071	348	18	and	and	CCONJ
ejpam-5071	348	19	the	the	DET
ejpam-5071	348	20	truncation	truncation	NOUN
ejpam-5071	348	21	point	point	NOUN
ejpam-5071	348	22	is	be	AUX
ejpam-5071	348	23	determined	determine	VERB
ejpam-5071	348	24	using	use	VERB
ejpam-5071	348	25	equation	equation	NOUN
ejpam-5071	348	26	(	(	PUNCT
ejpam-5071	348	27	17	17	NUM
ejpam-5071	348	28	)	)	PUNCT
ejpam-5071	348	29	.	.	PUNCT
ejpam-5071	349	1	u0(x	u0(x	X
ejpam-5071	349	2	)	)	PUNCT
ejpam-5071	349	3	=	=	SYM
ejpam-5071	349	4	f(x	f(x	PROPN
ejpam-5071	349	5	)	)	PUNCT
ejpam-5071	350	1	=	=	SYM
ejpam-5071	350	2	x−	x−	PROPN
ejpam-5071	350	3	4	4	NUM
ejpam-5071	350	4	23	23	NUM
ejpam-5071	350	5	x5	x5	NOUN
ejpam-5071	350	6	u1(x	u1(x	NOUN
ejpam-5071	350	7	)	)	PUNCT
ejpam-5071	350	8	=	=	SYM
ejpam-5071	350	9	4	4	NUM
ejpam-5071	350	10	23	23	NUM
ejpam-5071	350	11	x5	x5	NOUN
ejpam-5071	350	12	−	−	NUM
ejpam-5071	350	13	80	80	NUM
ejpam-5071	350	14	897	897	NUM
ejpam-5071	350	15	x9	x9	NOUN
ejpam-5071	350	16	+	+	CCONJ
ejpam-5071	350	17	128	128	NUM
ejpam-5071	350	18	5819	5819	NUM
ejpam-5071	350	19	x13	x13	NOUN
ejpam-5071	350	20	−	−	PROPN
ejpam-5071	350	21	2560	2560	NUM
ejpam-5071	350	22	863857	863857	NUM
ejpam-5071	350	23	x17	x17	VERB
ejpam-5071	350	24	+	+	CCONJ
ejpam-5071	350	25	...	...	PUNCT
ejpam-5071	350	26	u2(x	u2(x	X
ejpam-5071	350	27	)	)	PUNCT
ejpam-5071	350	28	=	=	SYM
ejpam-5071	350	29	80	80	NUM
ejpam-5071	350	30	897	897	NUM
ejpam-5071	350	31	x9	x9	NOUN
ejpam-5071	350	32	−	−	ADP
ejpam-5071	350	33	128	128	NUM
ejpam-5071	350	34	5819	5819	NUM
ejpam-5071	350	35	x13	x13	NOUN
ejpam-5071	350	36	−	−	PROPN
ejpam-5071	350	37	320	320	NUM
ejpam-5071	350	38	9867	9867	NUM
ejpam-5071	350	39	x13	x13	NOUN
ejpam-5071	350	40	+	+	CCONJ
ejpam-5071	350	41	2560	2560	NUM
ejpam-5071	350	42	863857	863857	NUM
ejpam-5071	350	43	x17	x17	NOUN
ejpam-5071	350	44	−	−	PROPN
ejpam-5071	350	45	12800	12800	NUM
ejpam-5071	350	46	2065745	2065745	NUM
ejpam-5071	350	47	x17	x17	PROPN
ejpam-5071	351	1	+	+	CCONJ
ejpam-5071	352	1	...	...	PUNCT
ejpam-5071	352	2	u3(x	u3(x	X
ejpam-5071	352	3	)	)	PUNCT
ejpam-5071	352	4	=	=	NOUN
ejpam-5071	352	5	320	320	NUM
ejpam-5071	352	6	9867	9867	NUM
ejpam-5071	352	7	x13	x13	NOUN
ejpam-5071	352	8	+	+	CCONJ
ejpam-5071	352	9	12800	12800	NUM
ejpam-5071	352	10	2065745	2065745	NUM
ejpam-5071	352	11	x17	x17	NOUN
ejpam-5071	352	12	−	−	PROPN
ejpam-5071	352	13	6400	6400	NUM
ejpam-5071	352	14	700557	700557	NUM
ejpam-5071	352	15	x17	x17	VERB
ejpam-5071	352	16	+	+	CCONJ
ejpam-5071	352	17	...	...	PUNCT
ejpam-5071	352	18	u4(x	u4(x	X
ejpam-5071	352	19	)	)	PUNCT
ejpam-5071	352	20	=	=	SYM
ejpam-5071	352	21	6400	6400	NUM
ejpam-5071	352	22	700557	700557	NUM
ejpam-5071	352	23	x17	x17	VERB
ejpam-5071	352	24	+	+	CCONJ
ejpam-5071	352	25	...	...	PUNCT
ejpam-5071	352	26	u(x	u(x	PROPN
ejpam-5071	352	27	)	)	PUNCT
ejpam-5071	352	28	=	=	SYM
ejpam-5071	352	29	4∑	4∑	NUM
ejpam-5071	352	30	i=0	i=0	PROPN
ejpam-5071	352	31	un	un	PROPN
ejpam-5071	352	32	=	=	PROPN
ejpam-5071	352	33	x.	x.	PROPN
ejpam-5071	352	34	example	example	NOUN
ejpam-5071	352	35	6(a	6(a	NUM
ejpam-5071	352	36	)	)	PUNCT
ejpam-5071	352	37	.	.	PUNCT
ejpam-5071	353	1	consider	consider	VERB
ejpam-5071	353	2	the	the	DET
ejpam-5071	353	3	nonlinear	nonlinear	ADJ
ejpam-5071	353	4	wsvie	wsvie	NOUN
ejpam-5071	353	5	of	of	ADP
ejpam-5071	353	6	the	the	DET
ejpam-5071	353	7	form	form	NOUN
ejpam-5071	353	8	,	,	PUNCT
ejpam-5071	353	9	u(x	u(x	NOUN
ejpam-5071	353	10	)	)	PUNCT
ejpam-5071	353	11	=	=	PUNCT
ejpam-5071	354	1	xk1	xk1	PROPN
ejpam-5071	354	2	−	−	PROPN
ejpam-5071	354	3	xγk1	xγk1	PROPN
ejpam-5071	354	4	µ+	µ+	X
ejpam-5071	354	5	γk1	γk1	NOUN
ejpam-5071	354	6	+	+	CCONJ
ejpam-5071	354	7	∫	∫	PROPN
ejpam-5071	354	8	x	x	SYM
ejpam-5071	354	9	0	0	PROPN
ejpam-5071	354	10	tµ−1	tµ−1	NOUN
ejpam-5071	354	11	xµ	xµ	X
ejpam-5071	355	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	355	2	(	(	PUNCT
ejpam-5071	355	3	33	33	NUM
ejpam-5071	355	4	)	)	PUNCT
ejpam-5071	355	5	4th	4th	ADJ
ejpam-5071	355	6	order	order	NOUN
ejpam-5071	355	7	nonlinear	nonlinear	ADJ
ejpam-5071	355	8	parameter	parameter	NOUN
ejpam-5071	355	9	with	with	ADP
ejpam-5071	355	10	β	β	X
ejpam-5071	355	11	=	=	SYM
ejpam-5071	355	12	γ	γ	X
ejpam-5071	355	13	=	=	SYM
ejpam-5071	355	14	4	4	NUM
ejpam-5071	355	15	,	,	PUNCT
ejpam-5071	355	16	k1	k1	NOUN
ejpam-5071	355	17	=	=	SYM
ejpam-5071	355	18	1	1	NUM
ejpam-5071	355	19	4	4	NUM
ejpam-5071	355	20	and	and	CCONJ
ejpam-5071	355	21	µ	µ	NOUN
ejpam-5071	355	22	=	=	SYM
ejpam-5071	355	23	4	4	NUM
ejpam-5071	355	24	5	5	NUM
ejpam-5071	355	25	.	.	PUNCT
ejpam-5071	356	1	following	follow	VERB
ejpam-5071	356	2	the	the	DET
ejpam-5071	356	3	algorithm	algorithm	NOUN
ejpam-5071	356	4	in	in	ADP
ejpam-5071	356	5	equation	equation	NOUN
ejpam-5071	356	6	(	(	PUNCT
ejpam-5071	356	7	15	15	NUM
ejpam-5071	356	8	)	)	PUNCT
ejpam-5071	356	9	,	,	PUNCT
ejpam-5071	356	10	the	the	DET
ejpam-5071	356	11	relation	relation	NOUN
ejpam-5071	356	12	between	between	ADP
ejpam-5071	356	13	the	the	DET
ejpam-5071	356	14	final	final	ADJ
ejpam-5071	356	15	series	series	NOUN
ejpam-5071	356	16	solution	solution	NOUN
ejpam-5071	356	17	term	term	NOUN
ejpam-5071	356	18	and	and	CCONJ
ejpam-5071	356	19	the	the	DET
ejpam-5071	356	20	truncation	truncation	NOUN
ejpam-5071	356	21	point	point	NOUN
ejpam-5071	356	22	is	be	AUX
ejpam-5071	356	23	determined	determine	VERB
ejpam-5071	356	24	using	use	VERB
ejpam-5071	356	25	equation	equation	NOUN
ejpam-5071	356	26	(	(	PUNCT
ejpam-5071	356	27	17	17	NUM
ejpam-5071	356	28	)	)	PUNCT
ejpam-5071	356	29	.	.	PUNCT
ejpam-5071	357	1	u0(x	u0(x	X
ejpam-5071	357	2	)	)	PUNCT
ejpam-5071	357	3	=	=	SYM
ejpam-5071	357	4	f(x	f(x	PROPN
ejpam-5071	357	5	)	)	PUNCT
ejpam-5071	357	6	=	=	PUNCT
ejpam-5071	358	1	x	x	SYM
ejpam-5071	358	2	1	1	NUM
ejpam-5071	358	3	4	4	NUM
ejpam-5071	358	4	−	−	NUM
ejpam-5071	358	5	5	5	NUM
ejpam-5071	358	6	9	9	NUM
ejpam-5071	358	7	x	x	SYM
ejpam-5071	358	8	u1(x	u1(x	NOUN
ejpam-5071	358	9	)	)	PUNCT
ejpam-5071	358	10	=	=	SYM
ejpam-5071	358	11	5	5	NUM
ejpam-5071	358	12	9	9	NUM
ejpam-5071	358	13	x−	x−	PROPN
ejpam-5071	358	14	400	400	NUM
ejpam-5071	358	15	459	459	NUM
ejpam-5071	358	16	x	x	SYM
ejpam-5071	358	17	7	7	NUM
ejpam-5071	358	18	4	4	NUM
ejpam-5071	358	19	+	+	NUM
ejpam-5071	358	20	500	500	NUM
ejpam-5071	358	21	891	891	NUM
ejpam-5071	358	22	x	x	SYM
ejpam-5071	358	23	5	5	NUM
ejpam-5071	358	24	2	2	NUM
ejpam-5071	358	25	−	−	NUM
ejpam-5071	358	26	10000	10000	NUM
ejpam-5071	358	27	59049	59049	NUM
ejpam-5071	358	28	x	x	SYM
ejpam-5071	358	29	13	13	NUM
ejpam-5071	358	30	4	4	NUM
ejpam-5071	358	31	+	+	CCONJ
ejpam-5071	358	32	...	...	PUNCT
ejpam-5071	359	1	u2(x	u2(x	X
ejpam-5071	359	2	)	)	PUNCT
ejpam-5071	359	3	=	=	PUNCT
ejpam-5071	360	1	400	400	NUM
ejpam-5071	360	2	459	459	NUM
ejpam-5071	360	3	x	x	SYM
ejpam-5071	360	4	7	7	NUM
ejpam-5071	360	5	4	4	NUM
ejpam-5071	360	6	−	−	NUM
ejpam-5071	360	7	500	500	NUM
ejpam-5071	360	8	891	891	NUM
ejpam-5071	360	9	x	x	SYM
ejpam-5071	360	10	5	5	NUM
ejpam-5071	360	11	2	2	NUM
ejpam-5071	360	12	−	−	PROPN
ejpam-5071	360	13	16000	16000	NUM
ejpam-5071	360	14	15147	15147	NUM
ejpam-5071	360	15	x	x	SYM
ejpam-5071	360	16	5	5	NUM
ejpam-5071	360	17	2	2	NUM
ejpam-5071	360	18	+	+	NUM
ejpam-5071	360	19	10000	10000	NUM
ejpam-5071	360	20	59049	59049	NUM
ejpam-5071	360	21	x	x	SYM
ejpam-5071	360	22	13	13	NUM
ejpam-5071	360	23	4	4	NUM
ejpam-5071	360	24	−	−	PROPN
ejpam-5071	360	25	200000	200000	NUM
ejpam-5071	360	26	649539	649539	NUM
ejpam-5071	360	27	x	x	SYM
ejpam-5071	360	28	13	13	NUM
ejpam-5071	360	29	4	4	NUM
ejpam-5071	360	30	+	+	CCONJ
ejpam-5071	360	31	...	...	PUNCT
ejpam-5071	361	1	u3(x	u3(x	X
ejpam-5071	361	2	)	)	PUNCT
ejpam-5071	361	3	=	=	SYM
ejpam-5071	361	4	16000	16000	NUM
ejpam-5071	361	5	15147	15147	NUM
ejpam-5071	361	6	x	x	SYM
ejpam-5071	361	7	5	5	NUM
ejpam-5071	361	8	2	2	NUM
ejpam-5071	361	9	−	−	PROPN
ejpam-5071	361	10	200000	200000	NUM
ejpam-5071	361	11	649539	649539	NUM
ejpam-5071	361	12	x	x	SYM
ejpam-5071	361	13	13	13	NUM
ejpam-5071	361	14	4	4	NUM
ejpam-5071	361	15	−	−	NOUN
ejpam-5071	361	16	1280000	1280000	NUM
ejpam-5071	361	17	1226907	1226907	NUM
ejpam-5071	361	18	x	x	SYM
ejpam-5071	361	19	13	13	NUM
ejpam-5071	361	20	4	4	NUM
ejpam-5071	361	21	+	+	CCONJ
ejpam-5071	361	22	...	...	PUNCT
ejpam-5071	362	1	u4(x	u4(x	X
ejpam-5071	362	2	)	)	PUNCT
ejpam-5071	362	3	=	=	SYM
ejpam-5071	362	4	1280000	1280000	NUM
ejpam-5071	362	5	1226907	1226907	NUM
ejpam-5071	362	6	x	x	SYM
ejpam-5071	362	7	13	13	NUM
ejpam-5071	362	8	4	4	NUM
ejpam-5071	362	9	+	+	CCONJ
ejpam-5071	362	10	...	...	PUNCT
ejpam-5071	362	11	u(x	u(x	PROPN
ejpam-5071	362	12	)	)	PUNCT
ejpam-5071	362	13	=	=	SYM
ejpam-5071	362	14	4∑	4∑	PROPN
ejpam-5071	362	15	n=0	n=0	NUM
ejpam-5071	362	16	un	un	NOUN
ejpam-5071	363	1	=	=	NOUN
ejpam-5071	363	2	x	x	SYM
ejpam-5071	363	3	1	1	NUM
ejpam-5071	363	4	4	4	NUM
ejpam-5071	363	5	.	.	PUNCT
ejpam-5071	364	1	k.	k.	PROPN
ejpam-5071	364	2	f.	f.	PROPN
ejpam-5071	364	3	sarfo	sarfo	PROPN
ejpam-5071	364	4	et	et	PROPN
ejpam-5071	364	5	al	al	PROPN
ejpam-5071	364	6	.	.	PUNCT
ejpam-5071	364	7	/	/	SYM
ejpam-5071	364	8	eur	eur	PROPN
ejpam-5071	364	9	.	.	PUNCT
ejpam-5071	365	1	j.	j.	PROPN
ejpam-5071	365	2	pure	pure	PROPN
ejpam-5071	365	3	appl	appl	PROPN
ejpam-5071	365	4	.	.	PROPN
ejpam-5071	365	5	math	math	PROPN
ejpam-5071	365	6	,	,	PUNCT
ejpam-5071	365	7	17	17	NUM
ejpam-5071	365	8	(	(	PUNCT
ejpam-5071	365	9	2	2	NUM
ejpam-5071	365	10	)	)	PUNCT
ejpam-5071	365	11	(	(	PUNCT
ejpam-5071	365	12	2024	2024	NUM
ejpam-5071	365	13	)	)	PUNCT
ejpam-5071	365	14	,	,	PUNCT
ejpam-5071	365	15	1046	1046	NUM
ejpam-5071	365	16	-	-	SYM
ejpam-5071	365	17	1069	1069	NUM
ejpam-5071	365	18	1064	1064	NUM
ejpam-5071	365	19	example	example	NOUN
ejpam-5071	365	20	6(b	6(b	NUM
ejpam-5071	365	21	)	)	PUNCT
ejpam-5071	365	22	.	.	PUNCT
ejpam-5071	366	1	consider	consider	VERB
ejpam-5071	366	2	the	the	DET
ejpam-5071	366	3	nonlinear	nonlinear	ADJ
ejpam-5071	366	4	wsvie	wsvie	NOUN
ejpam-5071	366	5	of	of	ADP
ejpam-5071	366	6	the	the	DET
ejpam-5071	366	7	form	form	NOUN
ejpam-5071	366	8	u(x	u(x	VERB
ejpam-5071	366	9	)	)	PUNCT
ejpam-5071	366	10	=	=	PUNCT
ejpam-5071	367	1	xk1	xk1	PROPN
ejpam-5071	367	2	−	−	PROPN
ejpam-5071	367	3	xγk1	xγk1	PROPN
ejpam-5071	367	4	µ+	µ+	X
ejpam-5071	367	5	γk1	γk1	NOUN
ejpam-5071	367	6	+	+	CCONJ
ejpam-5071	367	7	∫	∫	PROPN
ejpam-5071	367	8	x	x	SYM
ejpam-5071	367	9	0	0	PROPN
ejpam-5071	367	10	tµ−1	tµ−1	NOUN
ejpam-5071	367	11	xµ	xµ	X
ejpam-5071	368	1	u(t)βdt	u(t)βdt	PROPN
ejpam-5071	368	2	(	(	PUNCT
ejpam-5071	368	3	34	34	NUM
ejpam-5071	368	4	)	)	PUNCT
ejpam-5071	368	5	5th	5th	ADJ
ejpam-5071	368	6	-	-	PUNCT
ejpam-5071	368	7	order	order	NOUN
ejpam-5071	368	8	nonlinear	nonlinear	ADJ
ejpam-5071	368	9	parameter	parameter	NOUN
ejpam-5071	368	10	β	β	PROPN
ejpam-5071	368	11	=	=	SYM
ejpam-5071	368	12	5	5	NUM
ejpam-5071	368	13	with	with	ADP
ejpam-5071	368	14	β	β	X
ejpam-5071	368	15	=	=	SYM
ejpam-5071	368	16	γ	γ	X
ejpam-5071	368	17	=	=	SYM
ejpam-5071	368	18	5	5	NUM
ejpam-5071	368	19	,	,	PUNCT
ejpam-5071	368	20	k1	k1	NOUN
ejpam-5071	368	21	=	=	SYM
ejpam-5071	368	22	2	2	NUM
ejpam-5071	368	23	,	,	PUNCT
ejpam-5071	368	24	µ	µ	X
ejpam-5071	368	25	=	=	SYM
ejpam-5071	368	26	1	1	NUM
ejpam-5071	368	27	4	4	NUM
ejpam-5071	368	28	.	.	PUNCT
ejpam-5071	369	1	following	follow	VERB
ejpam-5071	369	2	the	the	DET
ejpam-5071	369	3	algorithm	algorithm	NOUN
ejpam-5071	369	4	in	in	ADP
ejpam-5071	369	5	equation	equation	NOUN
ejpam-5071	369	6	(	(	PUNCT
ejpam-5071	369	7	15	15	NUM
ejpam-5071	369	8	)	)	PUNCT
ejpam-5071	369	9	,	,	PUNCT
ejpam-5071	369	10	we	we	PRON
ejpam-5071	369	11	obtain	obtain	VERB
ejpam-5071	369	12	the	the	DET
ejpam-5071	369	13	solution	solution	NOUN
ejpam-5071	369	14	in	in	ADP
ejpam-5071	369	15	series	series	NOUN
ejpam-5071	369	16	,	,	PUNCT
ejpam-5071	369	17	and	and	CCONJ
ejpam-5071	369	18	the	the	DET
ejpam-5071	369	19	truncation	truncation	NOUN
ejpam-5071	369	20	point	point	NOUN
ejpam-5071	369	21	with	with	ADP
ejpam-5071	369	22	the	the	DET
ejpam-5071	369	23	highest	high	ADJ
ejpam-5071	369	24	power	power	NOUN
ejpam-5071	369	25	is	be	AUX
ejpam-5071	369	26	determined	determine	VERB
ejpam-5071	369	27	using	use	VERB
ejpam-5071	369	28	equation	equation	NOUN
ejpam-5071	369	29	(	(	PUNCT
ejpam-5071	369	30	17	17	NUM
ejpam-5071	369	31	)	)	PUNCT
ejpam-5071	369	32	.	.	PUNCT
ejpam-5071	370	1	solution	solution	NOUN
ejpam-5071	370	2	in	in	ADP
ejpam-5071	370	3	series	series	NOUN
ejpam-5071	370	4	,	,	PUNCT
ejpam-5071	370	5	u0(x	u0(x	PRON
ejpam-5071	370	6	)	)	PUNCT
ejpam-5071	370	7	=	=	SYM
ejpam-5071	370	8	f(x	f(x	PROPN
ejpam-5071	370	9	)	)	PUNCT
ejpam-5071	371	1	=	=	SYM
ejpam-5071	372	1	x2	x2	NUM
ejpam-5071	372	2	−	−	NOUN
ejpam-5071	373	1	4	4	NUM
ejpam-5071	373	2	41	41	NUM
ejpam-5071	373	3	x10	x10	NOUN
ejpam-5071	373	4	u1(x	u1(x	NOUN
ejpam-5071	373	5	)	)	PUNCT
ejpam-5071	373	6	=	=	SYM
ejpam-5071	373	7	4	4	NUM
ejpam-5071	373	8	41	41	NUM
ejpam-5071	373	9	x10	x10	NOUN
ejpam-5071	373	10	−	−	PROPN
ejpam-5071	373	11	80	80	NUM
ejpam-5071	373	12	2993	2993	NUM
ejpam-5071	373	13	x18	x18	NOUN
ejpam-5071	373	14	+	+	CCONJ
ejpam-5071	373	15	128	128	NUM
ejpam-5071	373	16	35301	35301	NUM
ejpam-5071	373	17	x26	x26	NOUN
ejpam-5071	374	1	+	+	CCONJ
ejpam-5071	374	2	...	...	PUNCT
ejpam-5071	375	1	u2(x	u2(x	X
ejpam-5071	375	2	)	)	PUNCT
ejpam-5071	375	3	=	=	SYM
ejpam-5071	375	4	80	80	NUM
ejpam-5071	375	5	2993	2993	NUM
ejpam-5071	375	6	x18	x18	NOUN
ejpam-5071	375	7	−	−	PROPN
ejpam-5071	375	8	128	128	NUM
ejpam-5071	375	9	35301	35301	NUM
ejpam-5071	375	10	x26	x26	NOUN
ejpam-5071	375	11	−	−	PROPN
ejpam-5071	375	12	320	320	NUM
ejpam-5071	375	13	62853	62853	NUM
ejpam-5071	375	14	x26	x26	NOUN
ejpam-5071	376	1	+	+	CCONJ
ejpam-5071	376	2	...	...	PUNCT
ejpam-5071	376	3	u3(x	u3(x	X
ejpam-5071	376	4	)	)	PUNCT
ejpam-5071	376	5	=	=	NOUN
ejpam-5071	376	6	320	320	NUM
ejpam-5071	376	7	62853	62853	NUM
ejpam-5071	376	8	x26	x26	NOUN
ejpam-5071	377	1	+	+	CCONJ
ejpam-5071	377	2	...	...	PUNCT
ejpam-5071	377	3	u(x	u(x	PROPN
ejpam-5071	377	4	)	)	PUNCT
ejpam-5071	377	5	=	=	PUNCT
ejpam-5071	378	1	∞∑	∞∑	NUM
ejpam-5071	378	2	n=0	n=0	NUM
ejpam-5071	378	3	un	un	NOUN
ejpam-5071	378	4	=	=	SYM
ejpam-5071	378	5	x2	x2	PROPN
ejpam-5071	378	6	.	.	PUNCT
ejpam-5071	379	1	remark	remark	PROPN
ejpam-5071	379	2	2	2	NUM
ejpam-5071	379	3	.	.	PUNCT
ejpam-5071	380	1	the	the	DET
ejpam-5071	380	2	solution	solution	NOUN
ejpam-5071	380	3	for	for	ADP
ejpam-5071	380	4	the	the	DET
ejpam-5071	380	5	above	above	ADJ
ejpam-5071	380	6	six	six	NUM
ejpam-5071	380	7	examples	example	NOUN
ejpam-5071	380	8	is	be	AUX
ejpam-5071	380	9	obtained	obtain	VERB
ejpam-5071	380	10	as	as	ADP
ejpam-5071	380	11	u(x	u(x	NOUN
ejpam-5071	380	12	)	)	PUNCT
ejpam-5071	381	1	=	=	SYM
ejpam-5071	381	2	xk1	xk1	PROPN
ejpam-5071	381	3	,	,	PUNCT
ejpam-5071	381	4	irrespective	irrespective	ADV
ejpam-5071	381	5	of	of	ADP
ejpam-5071	381	6	the	the	DET
ejpam-5071	381	7	values	value	NOUN
ejpam-5071	381	8	of	of	ADP
ejpam-5071	381	9	the	the	DET
ejpam-5071	381	10	assigned	assign	VERB
ejpam-5071	381	11	parameters	parameter	NOUN
ejpam-5071	381	12	defined	define	VERB
ejpam-5071	381	13	for	for	ADP
ejpam-5071	381	14	k1	k1	NOUN
ejpam-5071	381	15	,	,	PUNCT
ejpam-5071	381	16	β	β	X
ejpam-5071	381	17	and	and	CCONJ
ejpam-5071	381	18	µ.	µ.	PROPN
ejpam-5071	381	19	see	see	VERB
ejpam-5071	381	20	verification	verification	NOUN
ejpam-5071	381	21	of	of	ADP
ejpam-5071	381	22	the	the	DET
ejpam-5071	381	23	series	series	NOUN
ejpam-5071	381	24	solution	solution	NOUN
ejpam-5071	381	25	for	for	ADP
ejpam-5071	381	26	various	various	ADJ
ejpam-5071	381	27	β	β	NOUN
ejpam-5071	381	28	solution	solution	NOUN
ejpam-5071	381	29	models	model	NOUN
ejpam-5071	381	30	in	in	ADP
ejpam-5071	381	31	section	section	NOUN
ejpam-5071	381	32	3	3	NUM
ejpam-5071	381	33	.	.	NOUN
ejpam-5071	381	34	5	5	NUM
ejpam-5071	381	35	.	.	X
ejpam-5071	381	36	summary	summary	NOUN
ejpam-5071	381	37	of	of	ADP
ejpam-5071	381	38	results	result	NOUN
ejpam-5071	381	39	of	of	ADP
ejpam-5071	381	40	solved	solved	ADJ
ejpam-5071	381	41	examples	example	NOUN
ejpam-5071	381	42	the	the	DET
ejpam-5071	381	43	tables	table	NOUN
ejpam-5071	381	44	1	1	NUM
ejpam-5071	381	45	and	and	CCONJ
ejpam-5071	381	46	2	2	NUM
ejpam-5071	381	47	below	below	ADP
ejpam-5071	381	48	show	show	NOUN
ejpam-5071	381	49	row	row	NOUN
ejpam-5071	381	50	1	1	NUM
ejpam-5071	381	51	as	as	ADP
ejpam-5071	381	52	example	example	NOUN
ejpam-5071	381	53	of	of	ADP
ejpam-5071	381	54	numbering	numbering	NOUN
ejpam-5071	381	55	;	;	PUNCT
ejpam-5071	381	56	the	the	DET
ejpam-5071	381	57	second	second	ADJ
ejpam-5071	381	58	,	,	PUNCT
ejpam-5071	381	59	third	third	ADJ
ejpam-5071	381	60	,	,	PUNCT
ejpam-5071	381	61	and	and	CCONJ
ejpam-5071	381	62	fourth	fourth	ADJ
ejpam-5071	381	63	rows	row	NOUN
ejpam-5071	381	64	are	be	AUX
ejpam-5071	381	65	parameter	parameter	NOUN
ejpam-5071	381	66	values	value	NOUN
ejpam-5071	381	67	in	in	ADP
ejpam-5071	381	68	the	the	DET
ejpam-5071	381	69	nonlinear	nonlinear	ADJ
ejpam-5071	381	70	wsvie	wsvie	NOUN
ejpam-5071	381	71	;	;	PUNCT
ejpam-5071	381	72	and	and	CCONJ
ejpam-5071	381	73	the	the	DET
ejpam-5071	381	74	fifth	fifth	ADJ
ejpam-5071	381	75	row	row	NOUN
ejpam-5071	381	76	is	be	AUX
ejpam-5071	381	77	the	the	DET
ejpam-5071	381	78	solution	solution	NOUN
ejpam-5071	381	79	.	.	PUNCT
ejpam-5071	382	1	tables	table	NOUN
ejpam-5071	382	2	1	1	NUM
ejpam-5071	382	3	and	and	CCONJ
ejpam-5071	382	4	2	2	NUM
ejpam-5071	382	5	show	show	NOUN
ejpam-5071	382	6	results	result	NOUN
ejpam-5071	382	7	for	for	ADP
ejpam-5071	382	8	µ	µ	NOUN
ejpam-5071	382	9	>	>	SYM
ejpam-5071	382	10	1	1	NUM
ejpam-5071	382	11	and	and	CCONJ
ejpam-5071	382	12	0	0	NUM
ejpam-5071	382	13	<	<	X
ejpam-5071	382	14	µ	µ	X
ejpam-5071	382	15	≤	≤	NUM
ejpam-5071	382	16	1	1	NUM
ejpam-5071	382	17	,	,	PUNCT
ejpam-5071	382	18	respectively	respectively	ADV
ejpam-5071	382	19	.	.	PUNCT
ejpam-5071	383	1	table	table	NOUN
ejpam-5071	383	2	1	1	NUM
ejpam-5071	383	3	:	:	PUNCT
ejpam-5071	383	4	solutions	solution	NOUN
ejpam-5071	383	5	of	of	ADP
ejpam-5071	383	6	worked	work	VERB
ejpam-5071	383	7	examples	example	NOUN
ejpam-5071	383	8	for	for	ADP
ejpam-5071	383	9	the	the	DET
ejpam-5071	383	10	case	case	NOUN
ejpam-5071	383	11	of	of	ADP
ejpam-5071	383	12	µ	µ	X
ejpam-5071	383	13	>	>	X
ejpam-5071	383	14	1	1	NUM
ejpam-5071	383	15	.	.	PUNCT
ejpam-5071	383	16	example	example	NOUN
ejpam-5071	383	17	1(a	1(a	NUM
ejpam-5071	383	18	)	)	PUNCT
ejpam-5071	383	19	1(b	1(b	NUM
ejpam-5071	383	20	)	)	PUNCT
ejpam-5071	383	21	1(c	1(c	NUM
ejpam-5071	383	22	)	)	PUNCT
ejpam-5071	383	23	1(d	1(d	NUM
ejpam-5071	383	24	)	)	PUNCT
ejpam-5071	383	25	2(a	2(a	NUM
ejpam-5071	383	26	)	)	PUNCT
ejpam-5071	383	27	2(b	2(b	NUM
ejpam-5071	383	28	)	)	PUNCT
ejpam-5071	383	29	2(c	2(c	NUM
ejpam-5071	383	30	)	)	PUNCT
ejpam-5071	383	31	2(d	2(d	NUM
ejpam-5071	383	32	)	)	PUNCT
ejpam-5071	383	33	3(a	3(a	NUM
ejpam-5071	383	34	)	)	PUNCT
ejpam-5071	383	35	3(b	3(b	NUM
ejpam-5071	383	36	)	)	PUNCT
ejpam-5071	383	37	3(c	3(c	NUM
ejpam-5071	383	38	)	)	PUNCT
ejpam-5071	383	39	3(d	3(d	NUM
ejpam-5071	383	40	)	)	PUNCT
ejpam-5071	383	41	k1	k1	NOUN
ejpam-5071	383	42	1	1	NUM
ejpam-5071	383	43	2	2	NUM
ejpam-5071	383	44	1	1	NUM
ejpam-5071	383	45	2	2	NUM
ejpam-5071	383	46	1	1	NUM
ejpam-5071	383	47	2	2	NUM
ejpam-5071	383	48	1	1	NUM
ejpam-5071	383	49	2	2	NUM
ejpam-5071	383	50	1	1	NUM
ejpam-5071	383	51	1	1	NUM
ejpam-5071	383	52	1	1	NUM
ejpam-5071	383	53	1	1	NUM
ejpam-5071	383	54	1	1	NUM
ejpam-5071	383	55	4	4	NUM
ejpam-5071	383	56	1	1	NUM
ejpam-5071	383	57	4	4	NUM
ejpam-5071	383	58	1	1	NUM
ejpam-5071	383	59	4	4	NUM
ejpam-5071	383	60	1	1	NUM
ejpam-5071	383	61	4	4	NUM
ejpam-5071	383	62	β	β	SYM
ejpam-5071	383	63	2	2	NUM
ejpam-5071	383	64	3	3	NUM
ejpam-5071	383	65	4	4	NUM
ejpam-5071	383	66	5	5	NUM
ejpam-5071	383	67	3	3	NUM
ejpam-5071	383	68	4	4	NUM
ejpam-5071	383	69	2	2	NUM
ejpam-5071	383	70	5	5	NUM
ejpam-5071	383	71	3	3	NUM
ejpam-5071	383	72	5	5	NUM
ejpam-5071	383	73	4	4	NUM
ejpam-5071	383	74	2	2	NUM
ejpam-5071	383	75	µ	µ	NUM
ejpam-5071	383	76	6	6	NUM
ejpam-5071	383	77	5	5	NUM
ejpam-5071	383	78	2	2	NUM
ejpam-5071	383	79	3	3	NUM
ejpam-5071	383	80	2	2	NUM
ejpam-5071	383	81	3	3	NUM
ejpam-5071	383	82	3	3	NUM
ejpam-5071	383	83	2	2	NUM
ejpam-5071	383	84	7	7	NUM
ejpam-5071	383	85	2	2	NUM
ejpam-5071	383	86	3	3	NUM
ejpam-5071	383	87	4	4	NUM
ejpam-5071	383	88	3	3	NUM
ejpam-5071	383	89	5	5	NUM
ejpam-5071	383	90	2	2	NUM
ejpam-5071	383	91	5	5	NUM
ejpam-5071	383	92	4	4	NUM
ejpam-5071	383	93	4	4	NUM
ejpam-5071	383	94	5	5	NUM
ejpam-5071	383	95	2	2	NUM
ejpam-5071	383	96	u(x	u(x	NOUN
ejpam-5071	383	97	)	)	PUNCT
ejpam-5071	383	98	x	x	SYM
ejpam-5071	383	99	1	1	NUM
ejpam-5071	383	100	2	2	NUM
ejpam-5071	383	101	x	x	SYM
ejpam-5071	383	102	1	1	NUM
ejpam-5071	383	103	2	2	NUM
ejpam-5071	383	104	x	x	SYM
ejpam-5071	383	105	1	1	NUM
ejpam-5071	383	106	2	2	NUM
ejpam-5071	383	107	x	x	SYM
ejpam-5071	383	108	1	1	NUM
ejpam-5071	383	109	2	2	NUM
ejpam-5071	383	110	x	x	SYM
ejpam-5071	383	111	x	x	PUNCT
ejpam-5071	383	112	x	x	PUNCT
ejpam-5071	383	113	x	x	SYM
ejpam-5071	383	114	x	x	SYM
ejpam-5071	383	115	1	1	NUM
ejpam-5071	383	116	4	4	NUM
ejpam-5071	383	117	x	x	SYM
ejpam-5071	383	118	1	1	NUM
ejpam-5071	383	119	4	4	NUM
ejpam-5071	383	120	x	x	SYM
ejpam-5071	383	121	1	1	NUM
ejpam-5071	383	122	4	4	NUM
ejpam-5071	383	123	x	x	SYM
ejpam-5071	383	124	1	1	NUM
ejpam-5071	383	125	4	4	NUM
ejpam-5071	383	126	k.	k.	PROPN
ejpam-5071	383	127	f.	f.	PROPN
ejpam-5071	383	128	sarfo	sarfo	PROPN
ejpam-5071	383	129	et	et	PROPN
ejpam-5071	383	130	al	al	PROPN
ejpam-5071	383	131	.	.	PUNCT
ejpam-5071	383	132	/	/	SYM
ejpam-5071	383	133	eur	eur	PROPN
ejpam-5071	383	134	.	.	PUNCT
ejpam-5071	384	1	j.	j.	PROPN
ejpam-5071	384	2	pure	pure	PROPN
ejpam-5071	384	3	appl	appl	PROPN
ejpam-5071	384	4	.	.	PROPN
ejpam-5071	384	5	math	math	PROPN
ejpam-5071	384	6	,	,	PUNCT
ejpam-5071	384	7	17	17	NUM
ejpam-5071	384	8	(	(	PUNCT
ejpam-5071	384	9	2	2	NUM
ejpam-5071	384	10	)	)	PUNCT
ejpam-5071	384	11	(	(	PUNCT
ejpam-5071	384	12	2024	2024	NUM
ejpam-5071	384	13	)	)	PUNCT
ejpam-5071	384	14	,	,	PUNCT
ejpam-5071	384	15	1046	1046	NUM
ejpam-5071	384	16	-	-	SYM
ejpam-5071	384	17	1069	1069	NUM
ejpam-5071	384	18	1065	1065	NUM
ejpam-5071	384	19	table	table	NOUN
ejpam-5071	384	20	2	2	NUM
ejpam-5071	384	21	:	:	PUNCT
ejpam-5071	384	22	solutions	solution	NOUN
ejpam-5071	384	23	of	of	ADP
ejpam-5071	384	24	worked	work	VERB
ejpam-5071	384	25	examples	example	NOUN
ejpam-5071	384	26	for	for	ADP
ejpam-5071	384	27	the	the	DET
ejpam-5071	384	28	case	case	NOUN
ejpam-5071	384	29	of	of	ADP
ejpam-5071	384	30	0	0	NUM
ejpam-5071	384	31	<	<	X
ejpam-5071	384	32	µ	µ	X
ejpam-5071	384	33	≤	≤	NUM
ejpam-5071	384	34	1	1	NUM
ejpam-5071	384	35	.	.	PUNCT
ejpam-5071	384	36	example	example	NOUN
ejpam-5071	385	1	4(a	4(a	NUM
ejpam-5071	385	2	)	)	PUNCT
ejpam-5071	385	3	4(b	4(b	NUM
ejpam-5071	385	4	)	)	PUNCT
ejpam-5071	385	5	5(a	5(a	NUM
ejpam-5071	385	6	)	)	PUNCT
ejpam-5071	385	7	5(b	5(b	NUM
ejpam-5071	385	8	)	)	PUNCT
ejpam-5071	385	9	6(a	6(a	NUM
ejpam-5071	385	10	)	)	PUNCT
ejpam-5071	385	11	6(b	6(b	NUM
ejpam-5071	385	12	)	)	PUNCT
ejpam-5071	385	13	k1	k1	NOUN
ejpam-5071	385	14	3	3	NUM
ejpam-5071	385	15	2	2	NUM
ejpam-5071	385	16	3	3	NUM
ejpam-5071	385	17	2	2	NUM
ejpam-5071	385	18	1	1	NUM
ejpam-5071	385	19	4	4	NUM
ejpam-5071	385	20	1	1	NUM
ejpam-5071	385	21	1	1	NUM
ejpam-5071	385	22	4	4	NUM
ejpam-5071	385	23	2	2	NUM
ejpam-5071	385	24	β	β	SYM
ejpam-5071	385	25	2	2	NUM
ejpam-5071	385	26	3	3	NUM
ejpam-5071	385	27	3	3	NUM
ejpam-5071	385	28	5	5	NUM
ejpam-5071	385	29	4	4	NUM
ejpam-5071	385	30	5	5	NUM
ejpam-5071	385	31	µ	µ	NUM
ejpam-5071	385	32	1	1	NUM
ejpam-5071	385	33	3	3	NUM
ejpam-5071	385	34	1	1	NUM
ejpam-5071	385	35	1	1	NUM
ejpam-5071	385	36	2	2	NUM
ejpam-5071	385	37	3	3	NUM
ejpam-5071	385	38	4	4	NUM
ejpam-5071	385	39	4	4	NUM
ejpam-5071	385	40	5	5	NUM
ejpam-5071	385	41	1	1	NUM
ejpam-5071	385	42	4	4	NUM
ejpam-5071	385	43	u(x	u(x	NOUN
ejpam-5071	385	44	)	)	PUNCT
ejpam-5071	385	45	x	x	SYM
ejpam-5071	386	1	3	3	NUM
ejpam-5071	386	2	2	2	NUM
ejpam-5071	386	3	x	x	SYM
ejpam-5071	386	4	3	3	NUM
ejpam-5071	386	5	2	2	NUM
ejpam-5071	386	6	x	x	SYM
ejpam-5071	386	7	1	1	NUM
ejpam-5071	386	8	4	4	NUM
ejpam-5071	386	9	x	x	SYM
ejpam-5071	386	10	x	x	SYM
ejpam-5071	386	11	1	1	NUM
ejpam-5071	386	12	4	4	NUM
ejpam-5071	386	13	x2	x2	NOUN
ejpam-5071	386	14	from	from	ADP
ejpam-5071	386	15	tables	table	NOUN
ejpam-5071	386	16	1	1	NUM
ejpam-5071	386	17	and	and	CCONJ
ejpam-5071	386	18	2	2	NUM
ejpam-5071	386	19	above	above	ADV
ejpam-5071	386	20	,	,	PUNCT
ejpam-5071	386	21	the	the	DET
ejpam-5071	386	22	solution	solution	NOUN
ejpam-5071	386	23	is	be	AUX
ejpam-5071	386	24	obtained	obtain	VERB
ejpam-5071	386	25	as	as	ADP
ejpam-5071	386	26	u(x	u(x	NOUN
ejpam-5071	386	27	)	)	PUNCT
ejpam-5071	386	28	=	=	PUNCT
ejpam-5071	387	1	xk1	xk1	PROPN
ejpam-5071	387	2	for	for	ADP
ejpam-5071	387	3	the	the	DET
ejpam-5071	387	4	indicated	indicate	VERB
ejpam-5071	387	5	integer	integer	NOUN
ejpam-5071	387	6	values	value	NOUN
ejpam-5071	387	7	of	of	ADP
ejpam-5071	387	8	β	β	X
ejpam-5071	387	9	≥	≥	NUM
ejpam-5071	387	10	2	2	NUM
ejpam-5071	387	11	,	,	PUNCT
ejpam-5071	387	12	rational	rational	ADJ
ejpam-5071	387	13	values	value	NOUN
ejpam-5071	387	14	of	of	ADP
ejpam-5071	387	15	µ	µ	PRON
ejpam-5071	387	16	being	be	AUX
ejpam-5071	387	17	µ	µ	X
ejpam-5071	387	18	>	>	ADP
ejpam-5071	387	19	1	1	NUM
ejpam-5071	387	20	and	and	CCONJ
ejpam-5071	387	21	0	0	NUM
ejpam-5071	387	22	<	<	X
ejpam-5071	387	23	µ	µ	X
ejpam-5071	387	24	≤	≤	NUM
ejpam-5071	387	25	1	1	NUM
ejpam-5071	387	26	6	6	NUM
ejpam-5071	387	27	.	.	PUNCT
ejpam-5071	387	28	discussion	discussion	NOUN
ejpam-5071	387	29	in	in	ADP
ejpam-5071	387	30	this	this	DET
ejpam-5071	387	31	paper	paper	NOUN
ejpam-5071	387	32	,	,	PUNCT
ejpam-5071	387	33	we	we	PRON
ejpam-5071	387	34	used	use	VERB
ejpam-5071	387	35	djm	djm	PROPN
ejpam-5071	387	36	and	and	CCONJ
ejpam-5071	387	37	the	the	DET
ejpam-5071	387	38	force	force	NOUN
ejpam-5071	387	39	function	function	NOUN
ejpam-5071	387	40	formula	formula	NOUN
ejpam-5071	387	41	in	in	ADP
ejpam-5071	387	42	the	the	DET
ejpam-5071	387	43	solution	solution	NOUN
ejpam-5071	387	44	process	process	NOUN
ejpam-5071	387	45	.	.	PUNCT
ejpam-5071	388	1	in	in	ADP
ejpam-5071	388	2	line	line	NOUN
ejpam-5071	388	3	with	with	ADP
ejpam-5071	388	4	[	[	X
ejpam-5071	388	5	18	18	NUM
ejpam-5071	388	6	]	]	PUNCT
ejpam-5071	388	7	,	,	PUNCT
ejpam-5071	388	8	the	the	DET
ejpam-5071	388	9	force	force	NOUN
ejpam-5071	388	10	function	function	NOUN
ejpam-5071	388	11	used	use	VERB
ejpam-5071	388	12	is	be	AUX
ejpam-5071	388	13	f(x	f(x	PROPN
ejpam-5071	388	14	)	)	PUNCT
ejpam-5071	389	1	=	=	PUNCT
ejpam-5071	390	1	xk1	xk1	PROPN
ejpam-5071	390	2	−	−	PROPN
ejpam-5071	390	3	xγk1	xγk1	PROPN
ejpam-5071	390	4	µ+γk1	µ+γk1	NOUN
ejpam-5071	390	5	.	.	PUNCT
ejpam-5071	391	1	as	as	SCONJ
ejpam-5071	391	2	discussed	discuss	VERB
ejpam-5071	391	3	in	in	ADP
ejpam-5071	391	4	[	[	X
ejpam-5071	391	5	32	32	NUM
ejpam-5071	391	6	]	]	PUNCT
ejpam-5071	391	7	,	,	PUNCT
ejpam-5071	391	8	we	we	PRON
ejpam-5071	391	9	obtained	obtain	VERB
ejpam-5071	391	10	the	the	DET
ejpam-5071	391	11	relation	relation	NOUN
ejpam-5071	391	12	between	between	ADP
ejpam-5071	391	13	the	the	DET
ejpam-5071	391	14	last	last	ADJ
ejpam-5071	391	15	solution	solution	NOUN
ejpam-5071	391	16	term	term	NOUN
ejpam-5071	391	17	and	and	CCONJ
ejpam-5071	391	18	the	the	DET
ejpam-5071	391	19	truncation	truncation	NOUN
ejpam-5071	391	20	point	point	NOUN
ejpam-5071	391	21	to	to	PART
ejpam-5071	391	22	be	be	AUX
ejpam-5071	391	23	un(x	un(x	X
ejpam-5071	391	24	)	)	PUNCT
ejpam-5071	392	1	=	=	SYM
ejpam-5071	392	2	βn−1x[n(γ−1)+1]k1	βn−1x[n(γ−1)+1]k1	INTJ
ejpam-5071	392	3	(	(	PUNCT
ejpam-5071	392	4	γk1	γk1	NOUN
ejpam-5071	392	5	+	+	CCONJ
ejpam-5071	392	6	µ	µ	X
ejpam-5071	392	7	)	)	PUNCT
ejpam-5071	392	8	∏n	∏n	ADJ
ejpam-5071	392	9	m=2	m=2	PROPN
ejpam-5071	393	1	[	[	PUNCT
ejpam-5071	393	2	[	[	X
ejpam-5071	393	3	m(γ	m(γ	NOUN
ejpam-5071	393	4	−	−	PROPN
ejpam-5071	393	5	1)]k1	1)]k1	NUM
ejpam-5071	393	6	+	+	SYM
ejpam-5071	393	7	µ	µ	X
ejpam-5071	393	8	]	]	PUNCT
ejpam-5071	393	9	.	.	PUNCT
ejpam-5071	394	1	the	the	DET
ejpam-5071	394	2	relation	relation	NOUN
ejpam-5071	394	3	between	between	ADP
ejpam-5071	394	4	the	the	DET
ejpam-5071	394	5	last	last	ADJ
ejpam-5071	394	6	term	term	NOUN
ejpam-5071	394	7	in	in	ADP
ejpam-5071	394	8	the	the	DET
ejpam-5071	394	9	solution	solution	NOUN
ejpam-5071	394	10	series	series	NOUN
ejpam-5071	394	11	and	and	CCONJ
ejpam-5071	394	12	the	the	DET
ejpam-5071	394	13	truncation	truncation	NOUN
ejpam-5071	394	14	point	point	NOUN
ejpam-5071	394	15	was	be	AUX
ejpam-5071	394	16	discovered	discover	VERB
ejpam-5071	394	17	through	through	ADP
ejpam-5071	394	18	the	the	DET
ejpam-5071	394	19	solution	solution	NOUN
ejpam-5071	394	20	process	process	NOUN
ejpam-5071	394	21	in	in	ADP
ejpam-5071	394	22	the	the	DET
ejpam-5071	394	23	appendix	appendix	NOUN
ejpam-5071	394	24	,	,	PUNCT
ejpam-5071	394	25	and	and	CCONJ
ejpam-5071	394	26	the	the	DET
ejpam-5071	394	27	relation	relation	NOUN
ejpam-5071	394	28	holds	hold	VERB
ejpam-5071	394	29	for	for	ADP
ejpam-5071	394	30	all	all	DET
ejpam-5071	394	31	integer	integer	NOUN
ejpam-5071	394	32	values	value	NOUN
ejpam-5071	394	33	of	of	ADP
ejpam-5071	394	34	β	β	X
ejpam-5071	394	35	≥	≥	NUM
ejpam-5071	394	36	2	2	NUM
ejpam-5071	394	37	and	and	CCONJ
ejpam-5071	394	38	rational	rational	ADJ
ejpam-5071	394	39	values	value	NOUN
ejpam-5071	394	40	of	of	ADP
ejpam-5071	394	41	k1	k1	NOUN
ejpam-5071	394	42	and	and	CCONJ
ejpam-5071	394	43	µ	µ	NOUN
ejpam-5071	394	44	>	>	X
ejpam-5071	394	45	0	0	NUM
ejpam-5071	394	46	.	.	PUNCT
ejpam-5071	395	1	due	due	ADP
ejpam-5071	395	2	to	to	ADP
ejpam-5071	395	3	noise	noise	NOUN
ejpam-5071	395	4	term	term	NOUN
ejpam-5071	395	5	cancellation	cancellation	NOUN
ejpam-5071	395	6	,	,	PUNCT
ejpam-5071	395	7	our	our	PRON
ejpam-5071	395	8	solution	solution	NOUN
ejpam-5071	395	9	becomes	become	VERB
ejpam-5071	395	10	u(x	u(x	NOUN
ejpam-5071	395	11	)	)	PUNCT
ejpam-5071	395	12	=	=	SYM
ejpam-5071	395	13	u0(x	u0(x	NOUN
ejpam-5071	395	14	)	)	PUNCT
ejpam-5071	395	15	+	+	NUM
ejpam-5071	395	16	n∑	n∑	PROPN
ejpam-5071	395	17	m=1	m=1	X
ejpam-5071	395	18	um	um	INTJ
ejpam-5071	395	19	=	=	SYM
ejpam-5071	395	20	xk1	xk1	PROPN
ejpam-5071	395	21	.	.	PUNCT
ejpam-5071	396	1	we	we	PRON
ejpam-5071	396	2	extended	extend	VERB
ejpam-5071	396	3	the	the	DET
ejpam-5071	396	4	range	range	NOUN
ejpam-5071	396	5	of	of	ADP
ejpam-5071	396	6	investigation	investigation	NOUN
ejpam-5071	396	7	parameter	parameter	NOUN
ejpam-5071	396	8	values	value	NOUN
ejpam-5071	396	9	from	from	ADP
ejpam-5071	396	10	µ	µ	PROPN
ejpam-5071	396	11	>	>	ADP
ejpam-5071	396	12	1	1	NUM
ejpam-5071	396	13	to	to	ADP
ejpam-5071	396	14	0	0	NUM
ejpam-5071	396	15	<	<	X
ejpam-5071	396	16	µ	µ	X
ejpam-5071	396	17	≤	≤	NUM
ejpam-5071	396	18	1	1	NUM
ejpam-5071	396	19	.	.	PUNCT
ejpam-5071	396	20	from	from	ADP
ejpam-5071	396	21	table	table	NOUN
ejpam-5071	396	22	1	1	NUM
ejpam-5071	396	23	,	,	PUNCT
ejpam-5071	396	24	our	our	PRON
ejpam-5071	396	25	solution	solution	NOUN
ejpam-5071	396	26	examples	example	NOUN
ejpam-5071	396	27	1(a	1(a	NUM
ejpam-5071	396	28	)	)	PUNCT
ejpam-5071	396	29	and	and	CCONJ
ejpam-5071	396	30	2(a	2(a	NUM
ejpam-5071	396	31	)	)	PUNCT
ejpam-5071	396	32	confirm	confirm	VERB
ejpam-5071	396	33	the	the	DET
ejpam-5071	396	34	solutions	solution	NOUN
ejpam-5071	396	35	of	of	ADP
ejpam-5071	396	36	al	al	PROPN
ejpam-5071	396	37	-	-	PUNCT
ejpam-5071	396	38	jawary	jawary	PROPN
ejpam-5071	396	39	and	and	CCONJ
ejpam-5071	396	40	shehan[4	shehan[4	NOUN
ejpam-5071	396	41	]	]	PUNCT
ejpam-5071	396	42	,	,	PUNCT
ejpam-5071	396	43	who	who	PRON
ejpam-5071	396	44	respectively	respectively	ADV
ejpam-5071	396	45	used	use	VERB
ejpam-5071	396	46	specific	specific	ADJ
ejpam-5071	396	47	force	force	NOUN
ejpam-5071	396	48	functions	function	NOUN
ejpam-5071	396	49	,	,	PUNCT
ejpam-5071	396	50	f(x	f(x	PROPN
ejpam-5071	396	51	)	)	PUNCT
ejpam-5071	396	52	=	=	PUNCT
ejpam-5071	397	1	x	x	SYM
ejpam-5071	397	2	1	1	NUM
ejpam-5071	397	3	2	2	NUM
ejpam-5071	397	4	−	−	NUM
ejpam-5071	397	5	5	5	NUM
ejpam-5071	397	6	11x	11x	NOUN
ejpam-5071	397	7	with	with	ADP
ejpam-5071	397	8	β	β	X
ejpam-5071	397	9	=	=	SYM
ejpam-5071	397	10	2	2	NUM
ejpam-5071	397	11	and	and	CCONJ
ejpam-5071	397	12	µ	µ	NOUN
ejpam-5071	397	13	=	=	SYM
ejpam-5071	397	14	6	6	NUM
ejpam-5071	397	15	5	5	NUM
ejpam-5071	397	16	,	,	PUNCT
ejpam-5071	397	17	and	and	CCONJ
ejpam-5071	397	18	f(x	f(x	PROPN
ejpam-5071	397	19	)	)	PUNCT
ejpam-5071	398	1	=	=	SYM
ejpam-5071	398	2	x−	x−	PROPN
ejpam-5071	398	3	2	2	NUM
ejpam-5071	398	4	9x	9x	NOUN
ejpam-5071	398	5	3	3	NUM
ejpam-5071	398	6	with	with	ADP
ejpam-5071	398	7	β	β	X
ejpam-5071	398	8	=	=	SYM
ejpam-5071	398	9	3	3	NUM
ejpam-5071	398	10	and	and	CCONJ
ejpam-5071	398	11	µ	µ	X
ejpam-5071	398	12	=	=	SYM
ejpam-5071	398	13	3	3	NUM
ejpam-5071	398	14	2	2	NUM
ejpam-5071	398	15	for	for	ADP
ejpam-5071	398	16	their	their	PRON
ejpam-5071	398	17	nonlinear	nonlinear	ADJ
ejpam-5071	398	18	wsvie	wsvie	ADJ
ejpam-5071	398	19	solutions	solution	NOUN
ejpam-5071	398	20	.	.	PUNCT
ejpam-5071	399	1	our	our	PRON
ejpam-5071	399	2	solutions	solution	NOUN
ejpam-5071	399	3	depend	depend	VERB
ejpam-5071	399	4	on	on	ADP
ejpam-5071	399	5	the	the	DET
ejpam-5071	399	6	force	force	NOUN
ejpam-5071	399	7	function	function	NOUN
ejpam-5071	399	8	formula	formula	NOUN
ejpam-5071	399	9	parameter	parameter	NOUN
ejpam-5071	399	10	k1	k1	PROPN
ejpam-5071	399	11	and	and	CCONJ
ejpam-5071	399	12	produce	produce	VERB
ejpam-5071	399	13	the	the	DET
ejpam-5071	399	14	unique	unique	ADJ
ejpam-5071	399	15	solution	solution	NOUN
ejpam-5071	399	16	u	u	NOUN
ejpam-5071	399	17	=	=	NOUN
ejpam-5071	399	18	xk1	xk1	PROPN
ejpam-5071	399	19	irrespective	irrespective	ADV
ejpam-5071	399	20	of	of	ADP
ejpam-5071	399	21	the	the	DET
ejpam-5071	399	22	nonlinear	nonlinear	ADJ
ejpam-5071	399	23	integer	integer	NOUN
ejpam-5071	399	24	parameter	parameter	NOUN
ejpam-5071	399	25	value	value	NOUN
ejpam-5071	399	26	of	of	ADP
ejpam-5071	399	27	β	β	X
ejpam-5071	399	28	≥	≥	NUM
ejpam-5071	399	29	2	2	NUM
ejpam-5071	399	30	,	,	PUNCT
ejpam-5071	399	31	positive	positive	ADJ
ejpam-5071	399	32	rational	rational	ADJ
ejpam-5071	399	33	values	value	NOUN
ejpam-5071	399	34	of	of	ADP
ejpam-5071	399	35	k1	k1	NOUN
ejpam-5071	399	36	and	and	CCONJ
ejpam-5071	399	37	µ	µ	X
ejpam-5071	399	38	>	>	X
ejpam-5071	399	39	0	0	NUM
ejpam-5071	399	40	,	,	PUNCT
ejpam-5071	399	41	and	and	CCONJ
ejpam-5071	399	42	for	for	ADP
ejpam-5071	399	43	any	any	DET
ejpam-5071	399	44	finite	finite	ADJ
ejpam-5071	399	45	value	value	NOUN
ejpam-5071	399	46	of	of	ADP
ejpam-5071	399	47	n	n	PRON
ejpam-5071	399	48	≥	≥	NUM
ejpam-5071	399	49	2	2	NUM
ejpam-5071	399	50	.	.	NOUN
ejpam-5071	399	51	7	7	NUM
ejpam-5071	399	52	.	.	X
ejpam-5071	399	53	conclusion	conclusion	NOUN
ejpam-5071	399	54	in	in	ADP
ejpam-5071	399	55	this	this	DET
ejpam-5071	399	56	paper	paper	NOUN
ejpam-5071	399	57	,	,	PUNCT
ejpam-5071	399	58	we	we	PRON
ejpam-5071	399	59	have	have	AUX
ejpam-5071	399	60	solved	solve	VERB
ejpam-5071	399	61	the	the	DET
ejpam-5071	399	62	nonlinear	nonlinear	ADJ
ejpam-5071	399	63	wsvie	wsvie	NOUN
ejpam-5071	399	64	of	of	ADP
ejpam-5071	399	65	equation	equation	NOUN
ejpam-5071	399	66	(	(	PUNCT
ejpam-5071	399	67	2	2	NUM
ejpam-5071	399	68	)	)	PUNCT
ejpam-5071	399	69	with	with	ADP
ejpam-5071	399	70	the	the	DET
ejpam-5071	399	71	reproducing	reproduce	VERB
ejpam-5071	399	72	kernel	kernel	NOUN
ejpam-5071	399	73	,	,	PUNCT
ejpam-5071	399	74	k(x	k(x	PROPN
ejpam-5071	399	75	,	,	PUNCT
ejpam-5071	399	76	t	t	PROPN
ejpam-5071	399	77	)	)	PUNCT
ejpam-5071	399	78	=	=	VERB
ejpam-5071	400	1	tµ−1	tµ−1	VERB
ejpam-5071	400	2	xµ	xµ	X
ejpam-5071	400	3	,	,	PUNCT
ejpam-5071	400	4	by	by	ADP
ejpam-5071	400	5	extending	extend	VERB
ejpam-5071	400	6	the	the	DET
ejpam-5071	400	7	range	range	NOUN
ejpam-5071	400	8	of	of	ADP
ejpam-5071	400	9	the	the	DET
ejpam-5071	400	10	investigation	investigation	NOUN
ejpam-5071	400	11	parameter	parameter	NOUN
ejpam-5071	400	12	µ	µ	X
ejpam-5071	400	13	>	>	ADP
ejpam-5071	400	14	1	1	NUM
ejpam-5071	400	15	to	to	ADP
ejpam-5071	400	16	0	0	NUM
ejpam-5071	400	17	<	<	X
ejpam-5071	400	18	µ	µ	X
ejpam-5071	400	19	≤	≤	NUM
ejpam-5071	400	20	1	1	NUM
ejpam-5071	400	21	.	.	PUNCT
ejpam-5071	401	1	we	we	PRON
ejpam-5071	401	2	have	have	AUX
ejpam-5071	401	3	discovered	discover	VERB
ejpam-5071	401	4	a	a	DET
ejpam-5071	401	5	force	force	NOUN
ejpam-5071	401	6	function	function	NOUN
ejpam-5071	401	7	formula	formula	NOUN
ejpam-5071	401	8	,	,	PUNCT
ejpam-5071	401	9	f(x	f(x	PROPN
ejpam-5071	401	10	)	)	PUNCT
ejpam-5071	401	11	=	=	PUNCT
ejpam-5071	402	1	xk1	xk1	PROPN
ejpam-5071	402	2	−	−	PROPN
ejpam-5071	402	3	xγk1	xγk1	PROPN
ejpam-5071	402	4	γk1+µ	γk1+µ	PROPN
ejpam-5071	402	5	,	,	PUNCT
ejpam-5071	402	6	used	use	VERB
ejpam-5071	402	7	in	in	ADP
ejpam-5071	402	8	equation	equation	NOUN
ejpam-5071	402	9	(	(	PUNCT
ejpam-5071	402	10	2	2	NUM
ejpam-5071	402	11	)	)	PUNCT
ejpam-5071	402	12	.	.	PUNCT
ejpam-5071	403	1	we	we	PRON
ejpam-5071	403	2	are	be	AUX
ejpam-5071	403	3	able	able	ADJ
ejpam-5071	403	4	to	to	PART
ejpam-5071	403	5	determine	determine	VERB
ejpam-5071	403	6	a	a	DET
ejpam-5071	403	7	formula	formula	NOUN
ejpam-5071	403	8	relation	relation	NOUN
ejpam-5071	403	9	between	between	ADP
ejpam-5071	403	10	the	the	DET
ejpam-5071	403	11	final	final	ADJ
ejpam-5071	403	12	series	series	NOUN
ejpam-5071	403	13	solution	solution	NOUN
ejpam-5071	403	14	term	term	NOUN
ejpam-5071	403	15	and	and	CCONJ
ejpam-5071	403	16	the	the	DET
ejpam-5071	403	17	truncation	truncation	NOUN
ejpam-5071	403	18	point	point	NOUN
ejpam-5071	403	19	.	.	PUNCT
ejpam-5071	404	1	for	for	ADP
ejpam-5071	404	2	the	the	DET
ejpam-5071	404	3	purpose	purpose	NOUN
ejpam-5071	404	4	of	of	ADP
ejpam-5071	404	5	verifying	verify	VERB
ejpam-5071	404	6	different	different	ADJ
ejpam-5071	404	7	β	β	NOUN
ejpam-5071	404	8	solutions	solution	NOUN
ejpam-5071	404	9	,	,	PUNCT
ejpam-5071	404	10	the	the	DET
ejpam-5071	404	11	authors	author	NOUN
ejpam-5071	404	12	have	have	AUX
ejpam-5071	404	13	derived	derive	VERB
ejpam-5071	404	14	solution	solution	NOUN
ejpam-5071	404	15	models	model	NOUN
ejpam-5071	404	16	in	in	ADP
ejpam-5071	404	17	section	section	NOUN
ejpam-5071	404	18	3	3	NUM
ejpam-5071	404	19	that	that	PRON
ejpam-5071	404	20	facilitate	facilitate	VERB
ejpam-5071	404	21	the	the	DET
ejpam-5071	404	22	computation	computation	NOUN
ejpam-5071	404	23	of	of	ADP
ejpam-5071	404	24	references	reference	NOUN
ejpam-5071	404	25	1066	1066	NUM
ejpam-5071	404	26	solution	solution	NOUN
ejpam-5071	404	27	examples	example	NOUN
ejpam-5071	404	28	.	.	PUNCT
ejpam-5071	405	1	the	the	DET
ejpam-5071	405	2	examples	example	NOUN
ejpam-5071	405	3	of	of	ADP
ejpam-5071	405	4	solutions	solution	NOUN
ejpam-5071	405	5	validate	validate	VERB
ejpam-5071	405	6	the	the	DET
ejpam-5071	405	7	outcomes	outcome	NOUN
ejpam-5071	405	8	found	find	VERB
ejpam-5071	405	9	in	in	ADP
ejpam-5071	405	10	[	[	X
ejpam-5071	405	11	4	4	NUM
ejpam-5071	405	12	]	]	PUNCT
ejpam-5071	405	13	.	.	PUNCT
ejpam-5071	406	1	from	from	ADP
ejpam-5071	406	2	the	the	DET
ejpam-5071	406	3	various	various	ADJ
ejpam-5071	406	4	β	β	X
ejpam-5071	406	5	solution	solution	NOUN
ejpam-5071	406	6	models	model	NOUN
ejpam-5071	406	7	and	and	CCONJ
ejpam-5071	406	8	table	table	NOUN
ejpam-5071	406	9	of	of	ADP
ejpam-5071	406	10	solutions	solution	NOUN
ejpam-5071	406	11	,	,	PUNCT
ejpam-5071	406	12	we	we	PRON
ejpam-5071	406	13	extrapolate	extrapolate	VERB
ejpam-5071	406	14	that	that	SCONJ
ejpam-5071	406	15	for	for	ADP
ejpam-5071	406	16	the	the	DET
ejpam-5071	406	17	force	force	NOUN
ejpam-5071	406	18	function	function	NOUN
ejpam-5071	406	19	,	,	PUNCT
ejpam-5071	406	20	f(x	f(x	PROPN
ejpam-5071	406	21	)	)	PUNCT
ejpam-5071	406	22	=	=	PUNCT
ejpam-5071	407	1	xk1	xk1	PROPN
ejpam-5071	407	2	−	−	PROPN
ejpam-5071	407	3	xγk1	xγk1	PROPN
ejpam-5071	407	4	γk1+µ	γk1+µ	PROPN
ejpam-5071	407	5	where	where	SCONJ
ejpam-5071	407	6	k1	k1	NOUN
ejpam-5071	407	7	is	be	AUX
ejpam-5071	407	8	rational	rational	ADJ
ejpam-5071	407	9	,	,	PUNCT
ejpam-5071	407	10	we	we	PRON
ejpam-5071	407	11	shall	shall	AUX
ejpam-5071	407	12	always	always	ADV
ejpam-5071	407	13	get	get	VERB
ejpam-5071	407	14	the	the	DET
ejpam-5071	407	15	unique	unique	ADJ
ejpam-5071	407	16	solution	solution	NOUN
ejpam-5071	407	17	u(x	u(x	NOUN
ejpam-5071	407	18	)	)	PUNCT
ejpam-5071	407	19	=	=	SYM
ejpam-5071	407	20	xk1	xk1	PROPN
ejpam-5071	407	21	,	,	PUNCT
ejpam-5071	407	22	irrespective	irrespective	ADV
ejpam-5071	407	23	of	of	ADP
ejpam-5071	407	24	any	any	DET
ejpam-5071	407	25	chosen	choose	VERB
ejpam-5071	407	26	parameter	parameter	NOUN
ejpam-5071	407	27	values	value	NOUN
ejpam-5071	407	28	of	of	ADP
ejpam-5071	407	29	the	the	DET
ejpam-5071	407	30	integer	integer	NOUN
ejpam-5071	407	31	β	β	PROPN
ejpam-5071	407	32	≥	≥	NUM
ejpam-5071	407	33	2	2	NUM
ejpam-5071	407	34	,	,	PUNCT
ejpam-5071	407	35	positive	positive	ADJ
ejpam-5071	407	36	rational	rational	ADJ
ejpam-5071	407	37	parameter	parameter	NOUN
ejpam-5071	407	38	value	value	NOUN
ejpam-5071	407	39	µ	µ	X
ejpam-5071	407	40	>	>	X
ejpam-5071	407	41	0	0	NUM
ejpam-5071	407	42	,	,	PUNCT
ejpam-5071	407	43	and	and	CCONJ
ejpam-5071	407	44	for	for	ADP
ejpam-5071	407	45	any	any	DET
ejpam-5071	407	46	finite	finite	ADJ
ejpam-5071	407	47	value	value	NOUN
ejpam-5071	407	48	of	of	ADP
ejpam-5071	407	49	n	n	PRON
ejpam-5071	407	50	≥	≥	NUM
ejpam-5071	407	51	2	2	NUM
ejpam-5071	407	52	.	.	PUNCT
ejpam-5071	408	1	the	the	DET
ejpam-5071	408	2	authors	author	NOUN
ejpam-5071	408	3	are	be	AUX
ejpam-5071	408	4	working	work	VERB
ejpam-5071	408	5	on	on	ADP
ejpam-5071	408	6	extending	extend	VERB
ejpam-5071	408	7	the	the	DET
ejpam-5071	408	8	range	range	NOUN
ejpam-5071	408	9	of	of	ADP
ejpam-5071	408	10	µ	µ	PRON
ejpam-5071	408	11	values	value	NOUN
ejpam-5071	408	12	from	from	ADP
ejpam-5071	408	13	µ	µ	PRON
ejpam-5071	408	14	>	>	X
ejpam-5071	408	15	0	0	PUNCT
ejpam-5071	408	16	to	to	ADP
ejpam-5071	408	17	µ	µ	DET
ejpam-5071	408	18	≤	≤	NUM
ejpam-5071	408	19	0	0	NUM
ejpam-5071	408	20	acknowledgements	acknowledgement	NOUN
ejpam-5071	408	21	the	the	DET
ejpam-5071	408	22	authors	author	NOUN
ejpam-5071	408	23	are	be	AUX
ejpam-5071	408	24	grateful	grateful	ADJ
ejpam-5071	408	25	to	to	ADP
ejpam-5071	408	26	the	the	DET
ejpam-5071	408	27	reviewers	reviewer	NOUN
ejpam-5071	408	28	for	for	ADP
ejpam-5071	408	29	their	their	PRON
ejpam-5071	408	30	insightful	insightful	ADJ
ejpam-5071	408	31	remarks	remark	NOUN
ejpam-5071	408	32	that	that	PRON
ejpam-5071	408	33	helped	help	VERB
ejpam-5071	408	34	us	we	PRON
ejpam-5071	408	35	improve	improve	VERB
ejpam-5071	408	36	this	this	DET
ejpam-5071	408	37	article	article	NOUN
ejpam-5071	408	38	.	.	PUNCT
ejpam-5071	409	1	references	reference	NOUN
ejpam-5071	409	2	[	[	X
ejpam-5071	409	3	1	1	X
ejpam-5071	409	4	]	]	PUNCT
ejpam-5071	409	5	mi	mi	PROPN
ejpam-5071	409	6	adwan	adwan	PROPN
ejpam-5071	409	7	,	,	PUNCT
ejpam-5071	409	8	ma	ma	PROPN
ejpam-5071	409	9	al	al	PROPN
ejpam-5071	409	10	-	-	PUNCT
ejpam-5071	409	11	jawary	jawary	PROPN
ejpam-5071	409	12	,	,	PUNCT
ejpam-5071	409	13	j	j	PROPN
ejpam-5071	409	14	tibaut	tibaut	PROPN
ejpam-5071	409	15	,	,	PUNCT
ejpam-5071	409	16	and	and	CCONJ
ejpam-5071	409	17	j	j	NOUN
ejpam-5071	409	18	ravnik	ravnik	NOUN
ejpam-5071	409	19	.	.	PUNCT
ejpam-5071	410	1	analytic	analytic	ADJ
ejpam-5071	410	2	and	and	CCONJ
ejpam-5071	410	3	numerical	numerical	ADJ
ejpam-5071	410	4	solutions	solution	NOUN
ejpam-5071	410	5	for	for	ADP
ejpam-5071	410	6	linear	linear	ADJ
ejpam-5071	410	7	and	and	CCONJ
ejpam-5071	410	8	nonlinear	nonlinear	ADJ
ejpam-5071	410	9	multidimensional	multidimensional	ADJ
ejpam-5071	410	10	wave	wave	NOUN
ejpam-5071	410	11	equations	equation	NOUN
ejpam-5071	410	12	.	.	PUNCT
ejpam-5071	411	1	arab	arab	PROPN
ejpam-5071	411	2	journal	journal	PROPN
ejpam-5071	411	3	of	of	ADP
ejpam-5071	411	4	basic	basic	ADJ
ejpam-5071	411	5	and	and	CCONJ
ejpam-5071	411	6	applied	applied	ADJ
ejpam-5071	411	7	sciences	science	NOUN
ejpam-5071	411	8	,	,	PUNCT
ejpam-5071	411	9	27(1):166–182	27(1):166–182	NOUN
ejpam-5071	411	10	,	,	PUNCT
ejpam-5071	411	11	2020	2020	NUM
ejpam-5071	411	12	.	.	PUNCT
ejpam-5071	412	1	[	[	X
ejpam-5071	412	2	2	2	X
ejpam-5071	412	3	]	]	X
ejpam-5071	412	4	waleed	waleed	PROPN
ejpam-5071	412	5	al	al	PROPN
ejpam-5071	412	6	-	-	PUNCT
ejpam-5071	412	7	hayani	hayani	PROPN
ejpam-5071	412	8	and	and	CCONJ
ejpam-5071	412	9	omar	omar	PROPN
ejpam-5071	412	10	mudhar	mudhar	PROPN
ejpam-5071	412	11	kashmola	kashmola	PROPN
ejpam-5071	412	12	.	.	PUNCT
ejpam-5071	413	1	adomian	adomian	PROPN
ejpam-5071	413	2	decomposition	decomposition	NOUN
ejpam-5071	413	3	method	method	NOUN
ejpam-5071	413	4	for	for	ADP
ejpam-5071	413	5	solving	solve	VERB
ejpam-5071	413	6	the	the	DET
ejpam-5071	413	7	singularly	singularly	ADV
ejpam-5071	413	8	perturbed	perturb	VERB
ejpam-5071	413	9	volterra	volterra	PROPN
ejpam-5071	413	10	integral	integral	ADJ
ejpam-5071	413	11	equations	equation	NOUN
ejpam-5071	413	12	.	.	PUNCT
ejpam-5071	414	1	mathematical	mathematical	ADJ
ejpam-5071	414	2	sciences	science	NOUN
ejpam-5071	414	3	letters	letter	NOUN
ejpam-5071	414	4	,	,	PUNCT
ejpam-5071	414	5	6(2):1–10	6(2):1–10	PROPN
ejpam-5071	414	6	,	,	PUNCT
ejpam-5071	414	7	2017	2017	NUM
ejpam-5071	414	8	.	.	PUNCT
ejpam-5071	415	1	[	[	X
ejpam-5071	415	2	3	3	X
ejpam-5071	415	3	]	]	X
ejpam-5071	415	4	ma	ma	PROPN
ejpam-5071	415	5	al	al	PROPN
ejpam-5071	415	6	-	-	PUNCT
ejpam-5071	415	7	jawary	jawary	PROPN
ejpam-5071	415	8	and	and	CCONJ
ejpam-5071	415	9	hr	hr	PROPN
ejpam-5071	415	10	al	al	PROPN
ejpam-5071	415	11	-	-	PUNCT
ejpam-5071	415	12	qaissy	qaissy	NOUN
ejpam-5071	415	13	.	.	PUNCT
ejpam-5071	416	1	a	a	DET
ejpam-5071	416	2	reliable	reliable	ADJ
ejpam-5071	416	3	iterative	iterative	NOUN
ejpam-5071	416	4	method	method	NOUN
ejpam-5071	416	5	for	for	ADP
ejpam-5071	416	6	solving	solve	VERB
ejpam-5071	416	7	volterra	volterra	NOUN
ejpam-5071	416	8	integro	integro	PROPN
ejpam-5071	416	9	-	-	PUNCT
ejpam-5071	416	10	differential	differential	NOUN
ejpam-5071	416	11	equations	equation	NOUN
ejpam-5071	416	12	and	and	CCONJ
ejpam-5071	416	13	some	some	DET
ejpam-5071	416	14	applications	application	NOUN
ejpam-5071	416	15	for	for	ADP
ejpam-5071	416	16	the	the	DET
ejpam-5071	416	17	lane	lane	NOUN
ejpam-5071	416	18	–	–	PUNCT
ejpam-5071	416	19	emden	emden	ADJ
ejpam-5071	416	20	equations	equation	NOUN
ejpam-5071	416	21	of	of	ADP
ejpam-5071	416	22	the	the	DET
ejpam-5071	416	23	first	first	ADJ
ejpam-5071	416	24	kind	kind	NOUN
ejpam-5071	416	25	.	.	PUNCT
ejpam-5071	417	1	monthly	monthly	ADJ
ejpam-5071	417	2	notices	notice	NOUN
ejpam-5071	417	3	of	of	ADP
ejpam-5071	417	4	the	the	DET
ejpam-5071	417	5	royal	royal	ADJ
ejpam-5071	417	6	astronomical	astronomical	ADJ
ejpam-5071	417	7	society	society	NOUN
ejpam-5071	417	8	,	,	PUNCT
ejpam-5071	417	9	448(4):3093–3104	448(4):3093–3104	NOUN
ejpam-5071	417	10	,	,	PUNCT
ejpam-5071	417	11	2015	2015	NUM
ejpam-5071	417	12	.	.	PUNCT
ejpam-5071	418	1	[	[	X
ejpam-5071	418	2	4	4	X
ejpam-5071	418	3	]	]	X
ejpam-5071	418	4	ma	ma	PROPN
ejpam-5071	418	5	al	al	PROPN
ejpam-5071	418	6	-	-	PUNCT
ejpam-5071	418	7	jawary	jawary	PROPN
ejpam-5071	418	8	and	and	CCONJ
ejpam-5071	418	9	am	be	AUX
ejpam-5071	418	10	shehan	shehan	ADJ
ejpam-5071	418	11	.	.	PUNCT
ejpam-5071	419	1	exact	exact	ADJ
ejpam-5071	419	2	solutions	solution	NOUN
ejpam-5071	419	3	for	for	ADP
ejpam-5071	419	4	weakly	weakly	ADJ
ejpam-5071	419	5	singular	singular	PROPN
ejpam-5071	419	6	volterra	volterra	PROPN
ejpam-5071	419	7	integral	integral	ADJ
ejpam-5071	419	8	equations	equation	NOUN
ejpam-5071	419	9	by	by	ADP
ejpam-5071	419	10	using	use	VERB
ejpam-5071	419	11	an	an	DET
ejpam-5071	419	12	efficient	efficient	ADJ
ejpam-5071	419	13	iterative	iterative	NOUN
ejpam-5071	419	14	method	method	NOUN
ejpam-5071	419	15	.	.	PUNCT
ejpam-5071	420	1	international	international	ADJ
ejpam-5071	420	2	journal	journal	PROPN
ejpam-5071	420	3	of	of	ADP
ejpam-5071	420	4	science	science	NOUN
ejpam-5071	420	5	and	and	CCONJ
ejpam-5071	420	6	research	research	NOUN
ejpam-5071	420	7	,	,	PUNCT
ejpam-5071	420	8	12:67–76	12:67–76	NUM
ejpam-5071	420	9	,	,	PUNCT
ejpam-5071	420	10	2015	2015	NUM
ejpam-5071	420	11	.	.	PUNCT
ejpam-5071	421	1	[	[	X
ejpam-5071	421	2	5	5	X
ejpam-5071	421	3	]	]	X
ejpam-5071	421	4	fawziah	fawziah	PROPN
ejpam-5071	421	5	m	m	PROPN
ejpam-5071	421	6	al	al	PROPN
ejpam-5071	421	7	-	-	PUNCT
ejpam-5071	421	8	saar	saar	PROPN
ejpam-5071	421	9	and	and	CCONJ
ejpam-5071	421	10	kirtiwant	kirtiwant	VERB
ejpam-5071	421	11	p	p	PROPN
ejpam-5071	421	12	ghadle	ghadle	NOUN
ejpam-5071	421	13	.	.	PUNCT
ejpam-5071	422	1	the	the	DET
ejpam-5071	422	2	numerical	numerical	ADJ
ejpam-5071	422	3	solutions	solution	NOUN
ejpam-5071	422	4	of	of	ADP
ejpam-5071	422	5	linear	linear	PROPN
ejpam-5071	422	6	and	and	CCONJ
ejpam-5071	422	7	non	non	ADJ
ejpam-5071	422	8	-	-	ADJ
ejpam-5071	422	9	linear	linear	ADJ
ejpam-5071	422	10	volterra	volterra	NOUN
ejpam-5071	422	11	integral	integral	ADJ
ejpam-5071	422	12	equations	equation	NOUN
ejpam-5071	422	13	of	of	ADP
ejpam-5071	422	14	the	the	DET
ejpam-5071	422	15	second	second	ADJ
ejpam-5071	422	16	kind	kind	NOUN
ejpam-5071	422	17	using	use	VERB
ejpam-5071	422	18	variational	variational	ADJ
ejpam-5071	422	19	iteration	iteration	NOUN
ejpam-5071	422	20	method	method	NOUN
ejpam-5071	422	21	.	.	PUNCT
ejpam-5071	423	1	acta	acta	PROPN
ejpam-5071	423	2	univ	univ	PROPN
ejpam-5071	423	3	.	.	PUNCT
ejpam-5071	424	1	m.	m.	NOUN
ejpam-5071	424	2	belii	belii	PROPN
ejpam-5071	424	3	ser	ser	PROPN
ejpam-5071	424	4	.	.	PROPN
ejpam-5071	424	5	math	math	PROPN
ejpam-5071	424	6	,	,	PUNCT
ejpam-5071	424	7	27:3–13	27:3–13	NUM
ejpam-5071	424	8	,	,	PUNCT
ejpam-5071	424	9	2019	2019	NUM
ejpam-5071	424	10	.	.	PUNCT
ejpam-5071	425	1	[	[	X
ejpam-5071	425	2	6	6	X
ejpam-5071	425	3	]	]	PUNCT
ejpam-5071	425	4	haifa	haifa	PROPN
ejpam-5071	425	5	h	h	PROPN
ejpam-5071	425	6	ali	ali	PROPN
ejpam-5071	425	7	and	and	CCONJ
ejpam-5071	425	8	fawzi	fawzi	NOUN
ejpam-5071	425	9	abdelwahid	abdelwahid	ADJ
ejpam-5071	425	10	.	.	PUNCT
ejpam-5071	426	1	modified	modify	VERB
ejpam-5071	426	2	adomian	adomian	NOUN
ejpam-5071	426	3	techniques	technique	NOUN
ejpam-5071	426	4	applied	apply	VERB
ejpam-5071	426	5	to	to	ADP
ejpam-5071	426	6	nonlinear	nonlinear	ADJ
ejpam-5071	426	7	volterra	volterra	PROPN
ejpam-5071	426	8	integral	integral	ADJ
ejpam-5071	426	9	equations	equation	NOUN
ejpam-5071	426	10	.	.	PUNCT
ejpam-5071	427	1	2013	2013	NUM
ejpam-5071	427	2	.	.	PUNCT
ejpam-5071	428	1	[	[	X
ejpam-5071	428	2	7	7	X
ejpam-5071	428	3	]	]	SYM
ejpam-5071	428	4	ma	ma	PROPN
ejpam-5071	428	5	fariborzi	fariborzi	PROPN
ejpam-5071	428	6	araghi	araghi	PROPN
ejpam-5071	428	7	and	and	CCONJ
ejpam-5071	428	8	samad	samad	PROPN
ejpam-5071	428	9	noeiaghdam	noeiaghdam	PROPN
ejpam-5071	428	10	.	.	PUNCT
ejpam-5071	429	1	homotopy	homotopy	VERB
ejpam-5071	429	2	regularization	regularization	NOUN
ejpam-5071	429	3	method	method	NOUN
ejpam-5071	429	4	to	to	PART
ejpam-5071	429	5	solve	solve	VERB
ejpam-5071	429	6	the	the	DET
ejpam-5071	429	7	singular	singular	PROPN
ejpam-5071	429	8	volterra	volterra	PROPN
ejpam-5071	429	9	integral	integral	ADJ
ejpam-5071	429	10	equations	equation	NOUN
ejpam-5071	429	11	of	of	ADP
ejpam-5071	429	12	the	the	DET
ejpam-5071	429	13	first	first	ADJ
ejpam-5071	429	14	kind	kind	NOUN
ejpam-5071	429	15	.	.	PUNCT
ejpam-5071	430	1	jordan	jordan	PROPN
ejpam-5071	430	2	journal	journal	PROPN
ejpam-5071	430	3	of	of	ADP
ejpam-5071	430	4	mathematics	mathematics	PROPN
ejpam-5071	430	5	and	and	CCONJ
ejpam-5071	430	6	statistics	statistic	NOUN
ejpam-5071	430	7	(	(	PUNCT
ejpam-5071	430	8	jjms	jjms	NOUN
ejpam-5071	430	9	)	)	PUNCT
ejpam-5071	430	10	,	,	PUNCT
ejpam-5071	430	11	11(1):1–12	11(1):1–12	NUM
ejpam-5071	430	12	,	,	PUNCT
ejpam-5071	430	13	2018	2018	NUM
ejpam-5071	430	14	.	.	PUNCT
ejpam-5071	431	1	[	[	X
ejpam-5071	431	2	8	8	NUM
ejpam-5071	431	3	]	]	X
ejpam-5071	431	4	imtiyaz	imtiyaz	PROPN
ejpam-5071	431	5	ahmad	ahmad	PROPN
ejpam-5071	431	6	bhat	bhat	PROPN
ejpam-5071	431	7	and	and	CCONJ
ejpam-5071	431	8	lakshmi	lakshmi	PROPN
ejpam-5071	431	9	narayan	narayan	PROPN
ejpam-5071	431	10	mishra	mishra	PROPN
ejpam-5071	431	11	.	.	PUNCT
ejpam-5071	432	1	a	a	DET
ejpam-5071	432	2	comparative	comparative	ADJ
ejpam-5071	432	3	study	study	NOUN
ejpam-5071	432	4	of	of	ADP
ejpam-5071	432	5	discretization	discretization	NOUN
ejpam-5071	432	6	techniques	technique	NOUN
ejpam-5071	432	7	for	for	ADP
ejpam-5071	432	8	augmented	augment	VERB
ejpam-5071	432	9	urysohn	urysohn	PROPN
ejpam-5071	432	10	type	type	NOUN
ejpam-5071	432	11	nonlinear	nonlinear	ADJ
ejpam-5071	432	12	functional	functional	ADJ
ejpam-5071	432	13	volterra	volterra	PROPN
ejpam-5071	432	14	integral	integral	ADJ
ejpam-5071	432	15	equations	equation	NOUN
ejpam-5071	432	16	and	and	CCONJ
ejpam-5071	432	17	their	their	PRON
ejpam-5071	432	18	convergence	convergence	NOUN
ejpam-5071	432	19	analysis	analysis	NOUN
ejpam-5071	432	20	.	.	PUNCT
ejpam-5071	433	1	applied	apply	VERB
ejpam-5071	433	2	mathematics	mathematic	NOUN
ejpam-5071	433	3	and	and	CCONJ
ejpam-5071	433	4	computation	computation	NOUN
ejpam-5071	433	5	,	,	PUNCT
ejpam-5071	433	6	470:128555	470:128555	NUM
ejpam-5071	433	7	,	,	PUNCT
ejpam-5071	433	8	2024	2024	NUM
ejpam-5071	433	9	.	.	PUNCT
ejpam-5071	434	1	references	reference	NOUN
ejpam-5071	434	2	1067	1067	NUM
ejpam-5071	435	1	[	[	X
ejpam-5071	435	2	9	9	NUM
ejpam-5071	435	3	]	]	PUNCT
ejpam-5071	435	4	imtiyaz	imtiyaz	PROPN
ejpam-5071	435	5	ahmad	ahmad	PROPN
ejpam-5071	435	6	bhat	bhat	PROPN
ejpam-5071	435	7	,	,	PUNCT
ejpam-5071	435	8	lakshmi	lakshmi	PROPN
ejpam-5071	435	9	narayan	narayan	PROPN
ejpam-5071	435	10	mishra	mishra	PROPN
ejpam-5071	435	11	,	,	PUNCT
ejpam-5071	435	12	vishnu	vishnu	PROPN
ejpam-5071	435	13	narayan	narayan	PROPN
ejpam-5071	435	14	mishra	mishra	PROPN
ejpam-5071	435	15	,	,	PUNCT
ejpam-5071	435	16	cemil	cemil	PROPN
ejpam-5071	435	17	tunç	tunç	NOUN
ejpam-5071	435	18	,	,	PUNCT
ejpam-5071	435	19	and	and	CCONJ
ejpam-5071	435	20	osman	osman	ADJ
ejpam-5071	435	21	tunç.	tunç.	NOUN
ejpam-5071	435	22	precision	precision	NOUN
ejpam-5071	435	23	and	and	CCONJ
ejpam-5071	435	24	efficiency	efficiency	NOUN
ejpam-5071	435	25	of	of	ADP
ejpam-5071	435	26	an	an	DET
ejpam-5071	435	27	interpolation	interpolation	NOUN
ejpam-5071	435	28	approach	approach	NOUN
ejpam-5071	435	29	to	to	ADP
ejpam-5071	435	30	weakly	weakly	ADJ
ejpam-5071	435	31	singular	singular	ADJ
ejpam-5071	435	32	integral	integral	ADJ
ejpam-5071	435	33	equations	equation	NOUN
ejpam-5071	435	34	.	.	PUNCT
ejpam-5071	436	1	international	international	ADJ
ejpam-5071	436	2	journal	journal	PROPN
ejpam-5071	436	3	of	of	ADP
ejpam-5071	436	4	numerical	numerical	ADJ
ejpam-5071	436	5	methods	method	NOUN
ejpam-5071	436	6	for	for	ADP
ejpam-5071	436	7	heat	heat	NOUN
ejpam-5071	436	8	&	&	CCONJ
ejpam-5071	436	9	fluid	fluid	ADJ
ejpam-5071	436	10	flow	flow	NOUN
ejpam-5071	436	11	,	,	PUNCT
ejpam-5071	436	12	2024	2024	NUM
ejpam-5071	436	13	.	.	PUNCT
ejpam-5071	437	1	[	[	X
ejpam-5071	437	2	10	10	NUM
ejpam-5071	437	3	]	]	X
ejpam-5071	437	4	zhong	zhong	PROPN
ejpam-5071	437	5	chen	chen	PROPN
ejpam-5071	437	6	and	and	CCONJ
ejpam-5071	437	7	wei	wei	PROPN
ejpam-5071	437	8	jiang	jiang	PROPN
ejpam-5071	437	9	.	.	PUNCT
ejpam-5071	438	1	the	the	DET
ejpam-5071	438	2	exact	exact	ADJ
ejpam-5071	438	3	solution	solution	NOUN
ejpam-5071	438	4	of	of	ADP
ejpam-5071	438	5	a	a	DET
ejpam-5071	438	6	class	class	NOUN
ejpam-5071	438	7	of	of	ADP
ejpam-5071	438	8	volterra	volterra	NOUN
ejpam-5071	438	9	integral	integral	ADJ
ejpam-5071	438	10	equation	equation	NOUN
ejpam-5071	438	11	with	with	ADP
ejpam-5071	438	12	weakly	weakly	ADJ
ejpam-5071	438	13	singular	singular	ADJ
ejpam-5071	438	14	kernel	kernel	NOUN
ejpam-5071	438	15	.	.	PUNCT
ejpam-5071	439	1	applied	apply	VERB
ejpam-5071	439	2	mathematics	mathematic	NOUN
ejpam-5071	439	3	and	and	CCONJ
ejpam-5071	439	4	computation	computation	NOUN
ejpam-5071	439	5	,	,	PUNCT
ejpam-5071	439	6	217(18):7515	217(18):7515	NUM
ejpam-5071	439	7	–	–	PUNCT
ejpam-5071	439	8	7519	7519	NUM
ejpam-5071	439	9	,	,	PUNCT
ejpam-5071	439	10	2011	2011	NUM
ejpam-5071	439	11	.	.	PUNCT
ejpam-5071	440	1	[	[	X
ejpam-5071	440	2	11	11	NUM
ejpam-5071	440	3	]	]	X
ejpam-5071	440	4	zhong	zhong	PROPN
ejpam-5071	440	5	chen	chen	PROPN
ejpam-5071	440	6	and	and	CCONJ
ejpam-5071	440	7	wei	wei	PROPN
ejpam-5071	440	8	jiang	jiang	PROPN
ejpam-5071	440	9	.	.	PUNCT
ejpam-5071	441	1	piecewise	piecewise	NOUN
ejpam-5071	441	2	homotopy	homotopy	NOUN
ejpam-5071	441	3	perturbation	perturbation	NOUN
ejpam-5071	441	4	method	method	NOUN
ejpam-5071	441	5	for	for	ADP
ejpam-5071	441	6	solving	solve	VERB
ejpam-5071	441	7	linear	linear	NOUN
ejpam-5071	441	8	and	and	CCONJ
ejpam-5071	441	9	nonlinear	nonlinear	ADJ
ejpam-5071	441	10	weakly	weakly	ADJ
ejpam-5071	441	11	singular	singular	ADJ
ejpam-5071	441	12	vie	vie	PROPN
ejpam-5071	441	13	of	of	ADP
ejpam-5071	441	14	second	second	ADJ
ejpam-5071	441	15	kind	kind	NOUN
ejpam-5071	441	16	.	.	PUNCT
ejpam-5071	442	1	applied	apply	VERB
ejpam-5071	442	2	mathematics	mathematic	NOUN
ejpam-5071	442	3	and	and	CCONJ
ejpam-5071	442	4	computation	computation	NOUN
ejpam-5071	442	5	,	,	PUNCT
ejpam-5071	442	6	217(19):7790–7798	217(19):7790–7798	NUM
ejpam-5071	442	7	,	,	PUNCT
ejpam-5071	442	8	2011	2011	NUM
ejpam-5071	442	9	.	.	PUNCT
ejpam-5071	443	1	[	[	X
ejpam-5071	443	2	12	12	NUM
ejpam-5071	443	3	]	]	X
ejpam-5071	443	4	varsha	varsha	PROPN
ejpam-5071	443	5	daftardar	daftardar	NOUN
ejpam-5071	443	6	-	-	PUNCT
ejpam-5071	443	7	gejji	gejji	NOUN
ejpam-5071	443	8	and	and	CCONJ
ejpam-5071	443	9	hossein	hossein	PROPN
ejpam-5071	443	10	jafari	jafari	PROPN
ejpam-5071	443	11	.	.	PUNCT
ejpam-5071	444	1	an	an	DET
ejpam-5071	444	2	iterative	iterative	NOUN
ejpam-5071	444	3	method	method	NOUN
ejpam-5071	444	4	for	for	ADP
ejpam-5071	444	5	solving	solve	VERB
ejpam-5071	444	6	nonlinear	nonlinear	ADJ
ejpam-5071	444	7	functional	functional	ADJ
ejpam-5071	444	8	equations	equation	NOUN
ejpam-5071	444	9	.	.	PUNCT
ejpam-5071	445	1	journal	journal	PROPN
ejpam-5071	445	2	of	of	ADP
ejpam-5071	445	3	mathematical	mathematical	ADJ
ejpam-5071	445	4	analysis	analysis	NOUN
ejpam-5071	445	5	and	and	CCONJ
ejpam-5071	445	6	applications	application	NOUN
ejpam-5071	445	7	,	,	PUNCT
ejpam-5071	445	8	316(2):753	316(2):753	NUM
ejpam-5071	445	9	–	–	PUNCT
ejpam-5071	445	10	763	763	NUM
ejpam-5071	445	11	,	,	PUNCT
ejpam-5071	445	12	2006	2006	NUM
ejpam-5071	445	13	.	.	PUNCT
ejpam-5071	446	1	[	[	X
ejpam-5071	446	2	13	13	NUM
ejpam-5071	446	3	]	]	PUNCT
ejpam-5071	446	4	t	t	PROPN
ejpam-5071	446	5	diogo	diogo	PROPN
ejpam-5071	446	6	,	,	PUNCT
ejpam-5071	446	7	nb	nb	PROPN
ejpam-5071	446	8	franco	franco	PROPN
ejpam-5071	446	9	,	,	PUNCT
ejpam-5071	446	10	and	and	CCONJ
ejpam-5071	446	11	p	p	ADJ
ejpam-5071	446	12	lima	lima	PROPN
ejpam-5071	446	13	.	.	PUNCT
ejpam-5071	447	1	high	high	ADJ
ejpam-5071	447	2	order	order	NOUN
ejpam-5071	447	3	product	product	NOUN
ejpam-5071	447	4	integration	integration	NOUN
ejpam-5071	447	5	methods	method	NOUN
ejpam-5071	447	6	for	for	ADP
ejpam-5071	447	7	a	a	DET
ejpam-5071	447	8	volterra	volterra	NOUN
ejpam-5071	447	9	integral	integral	ADJ
ejpam-5071	447	10	equation	equation	NOUN
ejpam-5071	447	11	with	with	ADP
ejpam-5071	447	12	logarithmic	logarithmic	ADJ
ejpam-5071	447	13	singular	singular	ADJ
ejpam-5071	447	14	kernel	kernel	NOUN
ejpam-5071	447	15	.	.	PUNCT
ejpam-5071	448	1	communications	communication	NOUN
ejpam-5071	448	2	on	on	ADP
ejpam-5071	448	3	pure	pure	ADJ
ejpam-5071	448	4	and	and	CCONJ
ejpam-5071	448	5	applied	apply	VERB
ejpam-5071	448	6	analysis	analysis	NOUN
ejpam-5071	448	7	,	,	PUNCT
ejpam-5071	448	8	3(2):217–236	3(2):217–236	NUM
ejpam-5071	448	9	,	,	PUNCT
ejpam-5071	448	10	2004	2004	NUM
ejpam-5071	448	11	.	.	PUNCT
ejpam-5071	449	1	[	[	X
ejpam-5071	449	2	14	14	NUM
ejpam-5071	449	3	]	]	X
ejpam-5071	449	4	teresa	teresa	PROPN
ejpam-5071	449	5	diogo	diogo	PROPN
ejpam-5071	449	6	and	and	CCONJ
ejpam-5071	449	7	pedro	pedro	PROPN
ejpam-5071	449	8	lima	lima	PROPN
ejpam-5071	449	9	.	.	PUNCT
ejpam-5071	450	1	superconvergence	superconvergence	NOUN
ejpam-5071	450	2	of	of	ADP
ejpam-5071	450	3	collocation	collocation	NOUN
ejpam-5071	450	4	methods	method	NOUN
ejpam-5071	450	5	for	for	ADP
ejpam-5071	450	6	a	a	DET
ejpam-5071	450	7	class	class	NOUN
ejpam-5071	450	8	of	of	ADP
ejpam-5071	450	9	weakly	weakly	ADJ
ejpam-5071	450	10	singular	singular	PROPN
ejpam-5071	450	11	volterra	volterra	PROPN
ejpam-5071	450	12	integral	integral	ADJ
ejpam-5071	450	13	equations	equation	NOUN
ejpam-5071	450	14	.	.	PUNCT
ejpam-5071	451	1	journal	journal	NOUN
ejpam-5071	451	2	of	of	ADP
ejpam-5071	451	3	computational	computational	ADJ
ejpam-5071	451	4	and	and	CCONJ
ejpam-5071	451	5	applied	applied	ADJ
ejpam-5071	451	6	mathematics	mathematic	NOUN
ejpam-5071	451	7	,	,	PUNCT
ejpam-5071	451	8	218(2):307–316	218(2):307–316	PROPN
ejpam-5071	451	9	,	,	PUNCT
ejpam-5071	451	10	2008	2008	NUM
ejpam-5071	451	11	.	.	PUNCT
ejpam-5071	452	1	[	[	X
ejpam-5071	452	2	15	15	NUM
ejpam-5071	452	3	]	]	X
ejpam-5071	452	4	jun	jun	PROPN
ejpam-5071	452	5	-	-	PUNCT
ejpam-5071	452	6	sheng	sheng	PROPN
ejpam-5071	452	7	duan	duan	PROPN
ejpam-5071	452	8	,	,	PUNCT
ejpam-5071	452	9	randolph	randolph	PROPN
ejpam-5071	452	10	rach	rach	PROPN
ejpam-5071	452	11	,	,	PUNCT
ejpam-5071	452	12	abdul	abdul	PROPN
ejpam-5071	452	13	-	-	PUNCT
ejpam-5071	452	14	majid	majid	PROPN
ejpam-5071	452	15	wazwaz	wazwaz	PROPN
ejpam-5071	452	16	,	,	PUNCT
ejpam-5071	452	17	temuer	temuer	NOUN
ejpam-5071	452	18	chaolu	chaolu	PROPN
ejpam-5071	452	19	,	,	PUNCT
ejpam-5071	452	20	and	and	CCONJ
ejpam-5071	452	21	zhong	zhong	PROPN
ejpam-5071	452	22	wang	wang	PROPN
ejpam-5071	452	23	.	.	PUNCT
ejpam-5071	453	1	a	a	DET
ejpam-5071	453	2	new	new	ADJ
ejpam-5071	453	3	modified	modify	VERB
ejpam-5071	453	4	adomian	adomian	NOUN
ejpam-5071	453	5	decomposition	decomposition	NOUN
ejpam-5071	453	6	method	method	NOUN
ejpam-5071	453	7	and	and	CCONJ
ejpam-5071	453	8	its	its	PRON
ejpam-5071	453	9	multistage	multistage	NOUN
ejpam-5071	453	10	form	form	NOUN
ejpam-5071	453	11	for	for	ADP
ejpam-5071	453	12	solving	solve	VERB
ejpam-5071	453	13	nonlinear	nonlinear	ADJ
ejpam-5071	453	14	boundary	boundary	ADJ
ejpam-5071	453	15	value	value	NOUN
ejpam-5071	453	16	problems	problem	NOUN
ejpam-5071	453	17	with	with	ADP
ejpam-5071	453	18	robin	robin	PROPN
ejpam-5071	453	19	boundary	boundary	PROPN
ejpam-5071	453	20	conditions	condition	NOUN
ejpam-5071	453	21	.	.	PUNCT
ejpam-5071	454	1	applied	apply	VERB
ejpam-5071	454	2	mathematical	mathematical	ADJ
ejpam-5071	454	3	modelling	modelling	NOUN
ejpam-5071	454	4	,	,	PUNCT
ejpam-5071	454	5	37(20	37(20	NOUN
ejpam-5071	454	6	-	-	PUNCT
ejpam-5071	454	7	21):8687–8708	21):8687–8708	NUM
ejpam-5071	454	8	,	,	PUNCT
ejpam-5071	454	9	2013	2013	NUM
ejpam-5071	454	10	.	.	PUNCT
ejpam-5071	455	1	[	[	X
ejpam-5071	455	2	16	16	NUM
ejpam-5071	455	3	]	]	X
ejpam-5071	455	4	atanaska	atanaska	ADJ
ejpam-5071	455	5	georgieva	georgieva	NOUN
ejpam-5071	455	6	and	and	CCONJ
ejpam-5071	455	7	iva	iva	PROPN
ejpam-5071	455	8	naydenova	naydenova	PROPN
ejpam-5071	455	9	.	.	PUNCT
ejpam-5071	456	1	application	application	NOUN
ejpam-5071	456	2	of	of	ADP
ejpam-5071	456	3	homotopy	homotopy	NOUN
ejpam-5071	456	4	analysis	analysis	NOUN
ejpam-5071	456	5	method	method	NOUN
ejpam-5071	456	6	for	for	ADP
ejpam-5071	456	7	solving	solving	NOUN
ejpam-5071	456	8	of	of	ADP
ejpam-5071	456	9	two	two	NUM
ejpam-5071	456	10	-	-	PUNCT
ejpam-5071	456	11	dimensional	dimensional	ADJ
ejpam-5071	456	12	linear	linear	PROPN
ejpam-5071	456	13	volterra	volterra	NOUN
ejpam-5071	456	14	fuzzy	fuzzy	ADJ
ejpam-5071	456	15	integral	integral	ADJ
ejpam-5071	456	16	equations	equation	NOUN
ejpam-5071	456	17	.	.	PUNCT
ejpam-5071	457	1	in	in	ADP
ejpam-5071	457	2	aip	aip	PROPN
ejpam-5071	457	3	conference	conference	NOUN
ejpam-5071	457	4	proceedings	proceeding	NOUN
ejpam-5071	457	5	,	,	PUNCT
ejpam-5071	457	6	volume	volume	NOUN
ejpam-5071	457	7	2159	2159	NUM
ejpam-5071	457	8	.	.	PUNCT
ejpam-5071	458	1	aip	aip	PROPN
ejpam-5071	458	2	publishing	publishing	PROPN
ejpam-5071	458	3	,	,	PUNCT
ejpam-5071	458	4	2019	2019	NUM
ejpam-5071	458	5	.	.	PUNCT
ejpam-5071	459	1	[	[	X
ejpam-5071	459	2	17	17	NUM
ejpam-5071	459	3	]	]	PUNCT
ejpam-5071	459	4	weimin	weimin	PROPN
ejpam-5071	459	5	han	han	PROPN
ejpam-5071	459	6	.	.	PROPN
ejpam-5071	460	1	existence	existence	PROPN
ejpam-5071	460	2	,	,	PUNCT
ejpam-5071	460	3	uniqueness	uniqueness	NOUN
ejpam-5071	460	4	and	and	CCONJ
ejpam-5071	460	5	smoothness	smoothness	ADJ
ejpam-5071	460	6	results	result	NOUN
ejpam-5071	460	7	for	for	ADP
ejpam-5071	460	8	second	second	ADJ
ejpam-5071	460	9	-	-	PUNCT
ejpam-5071	460	10	kind	kind	NOUN
ejpam-5071	460	11	volterra	volterra	NOUN
ejpam-5071	460	12	equations	equation	NOUN
ejpam-5071	460	13	with	with	ADP
ejpam-5071	460	14	weakly	weakly	ADJ
ejpam-5071	460	15	singular	singular	ADJ
ejpam-5071	460	16	kernels	kernel	NOUN
ejpam-5071	460	17	.	.	PUNCT
ejpam-5071	461	1	the	the	DET
ejpam-5071	461	2	journal	journal	NOUN
ejpam-5071	461	3	of	of	ADP
ejpam-5071	461	4	integral	integral	ADJ
ejpam-5071	461	5	equations	equation	NOUN
ejpam-5071	461	6	and	and	CCONJ
ejpam-5071	461	7	applications	application	NOUN
ejpam-5071	461	8	,	,	PUNCT
ejpam-5071	461	9	pages	page	NOUN
ejpam-5071	461	10	365–384	365–384	NUM
ejpam-5071	461	11	,	,	PUNCT
ejpam-5071	461	12	1994	1994	NUM
ejpam-5071	461	13	.	.	PUNCT
ejpam-5071	462	1	[	[	X
ejpam-5071	462	2	18	18	NUM
ejpam-5071	462	3	]	]	X
ejpam-5071	462	4	arkan	arkan	VERB
ejpam-5071	462	5	sh	sh	PROPN
ejpam-5071	462	6	hasan	hasan	PROPN
ejpam-5071	462	7	and	and	CCONJ
ejpam-5071	462	8	sizar	sizar	NOUN
ejpam-5071	462	9	a	a	DET
ejpam-5071	462	10	mohammed	mohammed	PROPN
ejpam-5071	462	11	.	.	PUNCT
ejpam-5071	463	1	two	two	NUM
ejpam-5071	463	2	analytic	analytic	ADJ
ejpam-5071	463	3	methods	method	NOUN
ejpam-5071	463	4	for	for	ADP
ejpam-5071	463	5	solving	solve	VERB
ejpam-5071	463	6	the	the	DET
ejpam-5071	463	7	volterra	volterra	NOUN
ejpam-5071	463	8	integral	integral	ADJ
ejpam-5071	463	9	equations	equation	NOUN
ejpam-5071	463	10	with	with	ADP
ejpam-5071	463	11	a	a	DET
ejpam-5071	463	12	weakly	weakly	ADJ
ejpam-5071	463	13	singular	singular	ADJ
ejpam-5071	463	14	kernel	kernel	NOUN
ejpam-5071	463	15	.	.	PUNCT
ejpam-5071	464	1	j.	j.	PROPN
ejpam-5071	464	2	modern	modern	PROPN
ejpam-5071	464	3	tech	tech	PROPN
ejpam-5071	464	4	.	.	PUNCT
ejpam-5071	465	1	eng	eng	PROPN
ejpam-5071	465	2	,	,	PUNCT
ejpam-5071	465	3	7:30	7:30	NUM
ejpam-5071	465	4	–	–	PUNCT
ejpam-5071	465	5	30	30	NUM
ejpam-5071	465	6	,	,	PUNCT
ejpam-5071	465	7	2022	2022	NUM
ejpam-5071	465	8	.	.	PUNCT
ejpam-5071	466	1	[	[	X
ejpam-5071	466	2	19	19	NUM
ejpam-5071	466	3	]	]	PUNCT
ejpam-5071	466	4	muhammad	muhammad	PROPN
ejpam-5071	466	5	sadiq	sadiq	PROPN
ejpam-5071	466	6	hashmi	hashmi	PROPN
ejpam-5071	466	7	,	,	PUNCT
ejpam-5071	466	8	nasir	nasir	PROPN
ejpam-5071	466	9	khan	khan	PROPN
ejpam-5071	466	10	,	,	PUNCT
ejpam-5071	466	11	and	and	CCONJ
ejpam-5071	466	12	sehar	sehar	PROPN
ejpam-5071	466	13	iqbal	iqbal	PROPN
ejpam-5071	466	14	.	.	PUNCT
ejpam-5071	467	1	numerical	numerical	ADJ
ejpam-5071	467	2	solutions	solution	NOUN
ejpam-5071	467	3	of	of	ADP
ejpam-5071	467	4	weakly	weakly	ADJ
ejpam-5071	467	5	singular	singular	PROPN
ejpam-5071	467	6	volterra	volterra	PROPN
ejpam-5071	467	7	integral	integral	ADJ
ejpam-5071	467	8	equations	equation	NOUN
ejpam-5071	467	9	using	use	VERB
ejpam-5071	467	10	the	the	DET
ejpam-5071	467	11	optimal	optimal	ADJ
ejpam-5071	467	12	homotopy	homotopy	NOUN
ejpam-5071	467	13	asymptotic	asymptotic	ADJ
ejpam-5071	467	14	method	method	NOUN
ejpam-5071	467	15	.	.	PUNCT
ejpam-5071	468	1	computers	computer	NOUN
ejpam-5071	468	2	&	&	CCONJ
ejpam-5071	468	3	mathematics	mathematics	PROPN
ejpam-5071	468	4	with	with	ADP
ejpam-5071	468	5	applications	application	NOUN
ejpam-5071	468	6	,	,	PUNCT
ejpam-5071	468	7	64(6):1567–1574	64(6):1567–1574	NUM
ejpam-5071	468	8	,	,	PUNCT
ejpam-5071	468	9	2012	2012	NUM
ejpam-5071	468	10	.	.	PUNCT
ejpam-5071	469	1	references	reference	NOUN
ejpam-5071	469	2	1068	1068	NUM
ejpam-5071	470	1	[	[	X
ejpam-5071	470	2	20	20	NUM
ejpam-5071	470	3	]	]	X
ejpam-5071	470	4	ibrahim	ibrahim	PROPN
ejpam-5071	470	5	issaka	issaka	PROPN
ejpam-5071	470	6	,	,	PUNCT
ejpam-5071	470	7	w	w	PROPN
ejpam-5071	470	8	obeng	obeng	NOUN
ejpam-5071	470	9	-	-	PUNCT
ejpam-5071	470	10	denteh	denteh	NOUN
ejpam-5071	470	11	,	,	PUNCT
ejpam-5071	470	12	patrick	patrick	PROPN
ejpam-5071	470	13	akwasi	akwasi	PROPN
ejpam-5071	470	14	anamuah	anamuah	PROPN
ejpam-5071	470	15	mensah	mensah	NOUN
ejpam-5071	470	16	,	,	PUNCT
ejpam-5071	470	17	and	and	CCONJ
ejpam-5071	470	18	es	es	X
ejpam-5071	470	19	poku	poku	NOUN
ejpam-5071	470	20	.	.	PUNCT
ejpam-5071	471	1	using	use	VERB
ejpam-5071	471	2	homotopy	homotopy	NOUN
ejpam-5071	471	3	analysis	analysis	NOUN
ejpam-5071	471	4	method	method	NOUN
ejpam-5071	471	5	for	for	ADP
ejpam-5071	471	6	solving	solve	VERB
ejpam-5071	471	7	volterra	volterra	NOUN
ejpam-5071	471	8	integral	integral	ADJ
ejpam-5071	471	9	equations	equation	NOUN
ejpam-5071	471	10	of	of	ADP
ejpam-5071	471	11	the	the	DET
ejpam-5071	471	12	second	second	ADJ
ejpam-5071	471	13	kind	kind	NOUN
ejpam-5071	471	14	.	.	PUNCT
ejpam-5071	472	1	theoretical	theoretical	ADJ
ejpam-5071	472	2	mathematics	mathematics	PROPN
ejpam-5071	472	3	&	&	CCONJ
ejpam-5071	472	4	applications	application	NOUN
ejpam-5071	472	5	,	,	PUNCT
ejpam-5071	472	6	6(3):85–100	6(3):85–100	NUM
ejpam-5071	472	7	,	,	PUNCT
ejpam-5071	472	8	2016	2016	NUM
ejpam-5071	472	9	.	.	PUNCT
ejpam-5071	473	1	[	[	X
ejpam-5071	473	2	21	21	NUM
ejpam-5071	473	3	]	]	X
ejpam-5071	473	4	ibrahim	ibrahim	PROPN
ejpam-5071	473	5	issaka	issaka	PROPN
ejpam-5071	473	6	,	,	PUNCT
ejpam-5071	473	7	william	william	PROPN
ejpam-5071	473	8	obeng	obeng	PROPN
ejpam-5071	473	9	-	-	PUNCT
ejpam-5071	473	10	denteh	denteh	PROPN
ejpam-5071	473	11	,	,	PUNCT
ejpam-5071	473	12	isaac	isaac	PROPN
ejpam-5071	473	13	mensah	mensah	PROPN
ejpam-5071	473	14	,	,	PUNCT
ejpam-5071	473	15	edward	edward	PROPN
ejpam-5071	473	16	prempeh	prempeh	PROPN
ejpam-5071	473	17	,	,	PUNCT
ejpam-5071	473	18	and	and	CCONJ
ejpam-5071	473	19	patrick	patrick	PROPN
ejpam-5071	473	20	mensah	mensah	PROPN
ejpam-5071	473	21	.	.	PUNCT
ejpam-5071	474	1	on	on	ADP
ejpam-5071	474	2	the	the	DET
ejpam-5071	474	3	regularization	regularization	NOUN
ejpam-5071	474	4	-	-	PUNCT
ejpam-5071	474	5	homotopy	homotopy	NOUN
ejpam-5071	474	6	analysis	analysis	NOUN
ejpam-5071	474	7	method	method	NOUN
ejpam-5071	474	8	for	for	ADP
ejpam-5071	474	9	linear	linear	ADJ
ejpam-5071	474	10	and	and	CCONJ
ejpam-5071	474	11	nonlinear	nonlinear	ADJ
ejpam-5071	474	12	fredholm	fredholm	ADJ
ejpam-5071	474	13	integral	integral	ADJ
ejpam-5071	474	14	equations	equation	NOUN
ejpam-5071	474	15	of	of	ADP
ejpam-5071	474	16	the	the	DET
ejpam-5071	474	17	first	first	ADJ
ejpam-5071	474	18	kind	kind	NOUN
ejpam-5071	474	19	.	.	PUNCT
ejpam-5071	475	1	asian	asian	ADJ
ejpam-5071	475	2	research	research	PROPN
ejpam-5071	475	3	journal	journal	NOUN
ejpam-5071	475	4	of	of	ADP
ejpam-5071	475	5	mathematics	mathematic	NOUN
ejpam-5071	475	6	,	,	PUNCT
ejpam-5071	475	7	4(1):1–13	4(1):1–13	PROPN
ejpam-5071	475	8	,	,	PUNCT
ejpam-5071	475	9	2017	2017	NUM
ejpam-5071	475	10	.	.	PUNCT
ejpam-5071	476	1	[	[	X
ejpam-5071	476	2	22	22	NUM
ejpam-5071	476	3	]	]	PUNCT
ejpam-5071	476	4	pedro	pedro	PROPN
ejpam-5071	476	5	lima	lima	PROPN
ejpam-5071	476	6	and	and	CCONJ
ejpam-5071	476	7	teresa	teresa	PROPN
ejpam-5071	476	8	diogo	diogo	PROPN
ejpam-5071	476	9	.	.	PROPN
ejpam-5071	477	1	numerical	numerical	ADJ
ejpam-5071	477	2	solution	solution	NOUN
ejpam-5071	477	3	of	of	ADP
ejpam-5071	477	4	a	a	DET
ejpam-5071	477	5	nonuniquely	nonuniquely	ADV
ejpam-5071	477	6	solvable	solvable	ADJ
ejpam-5071	477	7	volterra	volterra	NOUN
ejpam-5071	477	8	integral	integral	ADJ
ejpam-5071	477	9	equation	equation	NOUN
ejpam-5071	477	10	using	use	VERB
ejpam-5071	477	11	extrapolation	extrapolation	NOUN
ejpam-5071	477	12	methods	method	NOUN
ejpam-5071	477	13	.	.	PUNCT
ejpam-5071	478	1	journal	journal	NOUN
ejpam-5071	478	2	of	of	ADP
ejpam-5071	478	3	computational	computational	ADJ
ejpam-5071	478	4	and	and	CCONJ
ejpam-5071	478	5	applied	applied	ADJ
ejpam-5071	478	6	mathematics	mathematic	NOUN
ejpam-5071	478	7	,	,	PUNCT
ejpam-5071	478	8	140(1	140(1	NUM
ejpam-5071	478	9	-	-	PUNCT
ejpam-5071	478	10	2):537–557	2):537–557	NUM
ejpam-5071	478	11	,	,	PUNCT
ejpam-5071	478	12	2002	2002	NUM
ejpam-5071	478	13	.	.	PUNCT
ejpam-5071	479	1	[	[	X
ejpam-5071	479	2	23	23	NUM
ejpam-5071	479	3	]	]	X
ejpam-5071	479	4	peter	peter	PROPN
ejpam-5071	479	5	linz	linz	PROPN
ejpam-5071	479	6	.	.	PUNCT
ejpam-5071	480	1	analytical	analytical	ADJ
ejpam-5071	480	2	and	and	CCONJ
ejpam-5071	480	3	numerical	numerical	ADJ
ejpam-5071	480	4	methods	method	NOUN
ejpam-5071	480	5	for	for	ADP
ejpam-5071	480	6	volterra	volterra	NOUN
ejpam-5071	480	7	equations	equation	NOUN
ejpam-5071	480	8	.	.	PUNCT
ejpam-5071	481	1	siam	siam	PROPN
ejpam-5071	481	2	,	,	PUNCT
ejpam-5071	481	3	1985	1985	NUM
ejpam-5071	481	4	.	.	PUNCT
ejpam-5071	482	1	[	[	X
ejpam-5071	482	2	24	24	NUM
ejpam-5071	482	3	]	]	X
ejpam-5071	482	4	mohammed	mohammed	PROPN
ejpam-5071	482	5	s	s	X
ejpam-5071	482	6	mechee	mechee	PROPN
ejpam-5071	482	7	,	,	PUNCT
ejpam-5071	482	8	adil	adil	PROPN
ejpam-5071	482	9	m	m	PROPN
ejpam-5071	482	10	al	al	PROPN
ejpam-5071	482	11	ramahi	ramahi	NOUN
ejpam-5071	482	12	,	,	PUNCT
ejpam-5071	482	13	and	and	CCONJ
ejpam-5071	482	14	raad	raad	PROPN
ejpam-5071	482	15	m	m	PROPN
ejpam-5071	482	16	kadum	kadum	PROPN
ejpam-5071	482	17	.	.	PUNCT
ejpam-5071	483	1	applications	application	NOUN
ejpam-5071	483	2	of	of	ADP
ejpam-5071	483	3	variational	variational	ADJ
ejpam-5071	483	4	iteration	iteration	NOUN
ejpam-5071	483	5	method	method	NOUN
ejpam-5071	483	6	for	for	ADP
ejpam-5071	483	7	solving	solve	VERB
ejpam-5071	483	8	a	a	DET
ejpam-5071	483	9	class	class	NOUN
ejpam-5071	483	10	of	of	ADP
ejpam-5071	483	11	volterra	volterra	PROPN
ejpam-5071	483	12	integral	integral	ADJ
ejpam-5071	483	13	equations	equation	NOUN
ejpam-5071	483	14	.	.	PUNCT
ejpam-5071	484	1	journal	journal	PROPN
ejpam-5071	484	2	of	of	ADP
ejpam-5071	484	3	university	university	PROPN
ejpam-5071	484	4	of	of	ADP
ejpam-5071	484	5	babylon	babylon	PROPN
ejpam-5071	484	6	,	,	PUNCT
ejpam-5071	484	7	24(9	24(9	NUM
ejpam-5071	484	8	)	)	PUNCT
ejpam-5071	484	9	,	,	PUNCT
ejpam-5071	484	10	2016	2016	NUM
ejpam-5071	484	11	.	.	PUNCT
ejpam-5071	485	1	[	[	X
ejpam-5071	485	2	25	25	NUM
ejpam-5071	485	3	]	]	X
ejpam-5071	485	4	jayvant	jayvant	ADJ
ejpam-5071	485	5	patade	patade	PROPN
ejpam-5071	485	6	and	and	CCONJ
ejpam-5071	485	7	sachin	sachin	PROPN
ejpam-5071	485	8	bhalekar	bhalekar	PROPN
ejpam-5071	485	9	.	.	PUNCT
ejpam-5071	486	1	a	a	DET
ejpam-5071	486	2	novel	novel	ADJ
ejpam-5071	486	3	numerical	numerical	ADJ
ejpam-5071	486	4	method	method	NOUN
ejpam-5071	486	5	for	for	ADP
ejpam-5071	486	6	solving	solve	VERB
ejpam-5071	486	7	volterra	volterra	NOUN
ejpam-5071	486	8	integro	integro	ADJ
ejpam-5071	486	9	-	-	PUNCT
ejpam-5071	486	10	differential	differential	NOUN
ejpam-5071	486	11	equations	equation	NOUN
ejpam-5071	486	12	.	.	PUNCT
ejpam-5071	487	1	international	international	ADJ
ejpam-5071	487	2	journal	journal	PROPN
ejpam-5071	487	3	of	of	ADP
ejpam-5071	487	4	applied	applied	ADJ
ejpam-5071	487	5	and	and	CCONJ
ejpam-5071	487	6	computational	computational	ADJ
ejpam-5071	487	7	mathematics	mathematic	NOUN
ejpam-5071	487	8	,	,	PUNCT
ejpam-5071	487	9	6(1):7	6(1):7	NOUN
ejpam-5071	487	10	,	,	PUNCT
ejpam-5071	487	11	2020	2020	NUM
ejpam-5071	487	12	.	.	PUNCT
ejpam-5071	488	1	[	[	X
ejpam-5071	488	2	26	26	NUM
ejpam-5071	488	3	]	]	X
ejpam-5071	488	4	vijai	vijai	PROPN
ejpam-5071	488	5	kumar	kumar	PROPN
ejpam-5071	488	6	pathak	pathak	PROPN
ejpam-5071	488	7	and	and	CCONJ
ejpam-5071	488	8	lakshmi	lakshmi	PROPN
ejpam-5071	488	9	narayan	narayan	PROPN
ejpam-5071	488	10	mishra	mishra	PROPN
ejpam-5071	488	11	.	.	PROPN
ejpam-5071	489	1	on	on	ADP
ejpam-5071	489	2	solvability	solvability	NOUN
ejpam-5071	489	3	and	and	CCONJ
ejpam-5071	489	4	approximating	approximate	VERB
ejpam-5071	489	5	the	the	DET
ejpam-5071	489	6	solutions	solution	NOUN
ejpam-5071	489	7	for	for	ADP
ejpam-5071	489	8	nonlinear	nonlinear	ADJ
ejpam-5071	489	9	infinite	infinite	ADJ
ejpam-5071	489	10	system	system	NOUN
ejpam-5071	489	11	of	of	ADP
ejpam-5071	489	12	fractional	fractional	ADJ
ejpam-5071	489	13	functional	functional	ADJ
ejpam-5071	489	14	integral	integral	ADJ
ejpam-5071	489	15	equations	equation	NOUN
ejpam-5071	489	16	in	in	ADP
ejpam-5071	489	17	the	the	DET
ejpam-5071	489	18	sequence	sequence	NOUN
ejpam-5071	489	19	space	space	NOUN
ejpam-5071	489	20	p	p	NOUN
ejpam-5071	489	21	,	,	PUNCT
ejpam-5071	489	22	p	p	X
ejpam-5071	489	23	>	>	X
ejpam-5071	489	24	1	1	NUM
ejpam-5071	489	25	.	.	PUNCT
ejpam-5071	489	26	journal	journal	NOUN
ejpam-5071	489	27	of	of	ADP
ejpam-5071	489	28	integral	integral	ADJ
ejpam-5071	489	29	equations	equation	NOUN
ejpam-5071	489	30	and	and	CCONJ
ejpam-5071	489	31	applications	application	NOUN
ejpam-5071	489	32	,	,	PUNCT
ejpam-5071	489	33	35(4):443–458	35(4):443–458	PROPN
ejpam-5071	489	34	,	,	PUNCT
ejpam-5071	489	35	2023	2023	NUM
ejpam-5071	489	36	.	.	PUNCT
ejpam-5071	490	1	[	[	X
ejpam-5071	490	2	27	27	NUM
ejpam-5071	490	3	]	]	X
ejpam-5071	490	4	supriya	supriya	PROPN
ejpam-5071	490	5	kumar	kumar	PROPN
ejpam-5071	490	6	paul	paul	PROPN
ejpam-5071	490	7	,	,	PUNCT
ejpam-5071	490	8	lakshmi	lakshmi	PROPN
ejpam-5071	490	9	narayan	narayan	PROPN
ejpam-5071	490	10	mishra	mishra	PROPN
ejpam-5071	490	11	,	,	PUNCT
ejpam-5071	490	12	vishnu	vishnu	PROPN
ejpam-5071	490	13	narayan	narayan	PROPN
ejpam-5071	490	14	mishra	mishra	PROPN
ejpam-5071	490	15	,	,	PUNCT
ejpam-5071	490	16	and	and	CCONJ
ejpam-5071	490	17	dumitru	dumitru	PROPN
ejpam-5071	490	18	baleanu	baleanu	NOUN
ejpam-5071	490	19	.	.	PUNCT
ejpam-5071	491	1	an	an	DET
ejpam-5071	491	2	effective	effective	ADJ
ejpam-5071	491	3	method	method	NOUN
ejpam-5071	491	4	for	for	ADP
ejpam-5071	491	5	solving	solve	VERB
ejpam-5071	491	6	nonlinear	nonlinear	ADJ
ejpam-5071	491	7	integral	integral	ADJ
ejpam-5071	491	8	equations	equation	NOUN
ejpam-5071	491	9	involving	involve	VERB
ejpam-5071	491	10	the	the	DET
ejpam-5071	491	11	riemann	riemann	PROPN
ejpam-5071	491	12	-	-	PUNCT
ejpam-5071	491	13	liouville	liouville	VERB
ejpam-5071	491	14	fractional	fractional	ADJ
ejpam-5071	491	15	operator	operator	NOUN
ejpam-5071	491	16	.	.	PUNCT
ejpam-5071	492	1	aims	aim	VERB
ejpam-5071	492	2	mathematics	mathematic	NOUN
ejpam-5071	492	3	,	,	PUNCT
ejpam-5071	492	4	8(8):17448–17469	8(8):17448–17469	PROPN
ejpam-5071	492	5	,	,	PUNCT
ejpam-5071	492	6	2023	2023	NUM
ejpam-5071	492	7	.	.	PUNCT
ejpam-5071	493	1	[	[	X
ejpam-5071	493	2	28	28	NUM
ejpam-5071	493	3	]	]	X
ejpam-5071	493	4	e	e	PROPN
ejpam-5071	493	5	rama	rama	PROPN
ejpam-5071	493	6	,	,	PUNCT
ejpam-5071	493	7	k	k	PROPN
ejpam-5071	493	8	somaiah	somaiah	PROPN
ejpam-5071	493	9	,	,	PUNCT
ejpam-5071	493	10	and	and	CCONJ
ejpam-5071	493	11	k	k	PROPN
ejpam-5071	493	12	sambaiah	sambaiah	NOUN
ejpam-5071	493	13	.	.	PUNCT
ejpam-5071	494	1	a	a	DET
ejpam-5071	494	2	study	study	NOUN
ejpam-5071	494	3	of	of	ADP
ejpam-5071	494	4	variational	variational	ADJ
ejpam-5071	494	5	iteration	iteration	NOUN
ejpam-5071	494	6	method	method	NOUN
ejpam-5071	494	7	for	for	ADP
ejpam-5071	494	8	solving	solve	VERB
ejpam-5071	494	9	various	various	ADJ
ejpam-5071	494	10	types	type	NOUN
ejpam-5071	494	11	of	of	ADP
ejpam-5071	494	12	problems	problem	NOUN
ejpam-5071	494	13	.	.	PUNCT
ejpam-5071	495	1	malaya	malaya	PROPN
ejpam-5071	495	2	journal	journal	PROPN
ejpam-5071	495	3	of	of	ADP
ejpam-5071	495	4	matematik	matematik	PROPN
ejpam-5071	495	5	,	,	PUNCT
ejpam-5071	495	6	9(1):701–708	9(1):701–708	NUM
ejpam-5071	495	7	,	,	PUNCT
ejpam-5071	495	8	2021	2021	NUM
ejpam-5071	495	9	.	.	PUNCT
ejpam-5071	496	1	[	[	X
ejpam-5071	496	2	29	29	NUM
ejpam-5071	496	3	]	]	X
ejpam-5071	496	4	abdul	abdul	PROPN
ejpam-5071	496	5	-	-	PUNCT
ejpam-5071	496	6	majid	majid	PROPN
ejpam-5071	496	7	wazwaz	wazwaz	NOUN
ejpam-5071	496	8	.	.	PUNCT
ejpam-5071	497	1	linear	linear	ADJ
ejpam-5071	497	2	and	and	CCONJ
ejpam-5071	497	3	nonlinear	nonlinear	ADJ
ejpam-5071	497	4	integral	integral	ADJ
ejpam-5071	497	5	equations	equation	NOUN
ejpam-5071	497	6	,	,	PUNCT
ejpam-5071	497	7	volume	volume	NOUN
ejpam-5071	497	8	639	639	NUM
ejpam-5071	497	9	.	.	PUNCT
ejpam-5071	497	10	springer	springer	NOUN
ejpam-5071	497	11	,	,	PUNCT
ejpam-5071	497	12	2011	2011	NUM
ejpam-5071	497	13	.	.	PUNCT
ejpam-5071	498	1	[	[	X
ejpam-5071	498	2	30	30	NUM
ejpam-5071	498	3	]	]	X
ejpam-5071	498	4	abdul	abdul	PROPN
ejpam-5071	498	5	-	-	PUNCT
ejpam-5071	498	6	majid	majid	PROPN
ejpam-5071	498	7	wazwaz	wazwaz	PROPN
ejpam-5071	498	8	and	and	CCONJ
ejpam-5071	498	9	randolph	randolph	PROPN
ejpam-5071	498	10	rach	rach	PROPN
ejpam-5071	498	11	.	.	PUNCT
ejpam-5071	499	1	comparison	comparison	NOUN
ejpam-5071	499	2	of	of	ADP
ejpam-5071	499	3	the	the	DET
ejpam-5071	499	4	adomian	adomian	NOUN
ejpam-5071	499	5	decomposition	decomposition	NOUN
ejpam-5071	499	6	method	method	NOUN
ejpam-5071	499	7	and	and	CCONJ
ejpam-5071	499	8	the	the	DET
ejpam-5071	499	9	variational	variational	ADJ
ejpam-5071	499	10	iteration	iteration	NOUN
ejpam-5071	499	11	method	method	NOUN
ejpam-5071	499	12	for	for	ADP
ejpam-5071	499	13	solving	solve	VERB
ejpam-5071	499	14	the	the	DET
ejpam-5071	499	15	lane	lane	NOUN
ejpam-5071	499	16	-	-	PUNCT
ejpam-5071	499	17	emden	emden	NOUN
ejpam-5071	499	18	equations	equation	NOUN
ejpam-5071	499	19	of	of	ADP
ejpam-5071	499	20	the	the	DET
ejpam-5071	499	21	first	first	ADJ
ejpam-5071	499	22	and	and	CCONJ
ejpam-5071	499	23	second	second	ADJ
ejpam-5071	499	24	kinds	kind	NOUN
ejpam-5071	499	25	.	.	PUNCT
ejpam-5071	500	1	kybernetes	kybernete	NOUN
ejpam-5071	500	2	,	,	PUNCT
ejpam-5071	500	3	40(9/10):1305–1318	40(9/10):1305–1318	NUM
ejpam-5071	500	4	,	,	PUNCT
ejpam-5071	500	5	2011	2011	NUM
ejpam-5071	500	6	.	.	PUNCT
ejpam-5071	501	1	[	[	X
ejpam-5071	501	2	31	31	NUM
ejpam-5071	501	3	]	]	PUNCT
ejpam-5071	501	4	abdul	abdul	PROPN
ejpam-5071	501	5	-	-	PUNCT
ejpam-5071	501	6	majid	majid	PROPN
ejpam-5071	501	7	wazwaz	wazwaz	PROPN
ejpam-5071	501	8	and	and	CCONJ
ejpam-5071	501	9	randolph	randolph	PROPN
ejpam-5071	501	10	rach	rach	PROPN
ejpam-5071	501	11	.	.	PUNCT
ejpam-5071	502	1	two	two	NUM
ejpam-5071	502	2	reliable	reliable	ADJ
ejpam-5071	502	3	methods	method	NOUN
ejpam-5071	502	4	for	for	ADP
ejpam-5071	502	5	solving	solve	VERB
ejpam-5071	502	6	the	the	DET
ejpam-5071	502	7	volterra	volterra	NOUN
ejpam-5071	502	8	integral	integral	ADJ
ejpam-5071	502	9	equation	equation	NOUN
ejpam-5071	502	10	with	with	ADP
ejpam-5071	502	11	a	a	DET
ejpam-5071	502	12	weakly	weakly	ADJ
ejpam-5071	502	13	singular	singular	ADJ
ejpam-5071	502	14	kernel	kernel	NOUN
ejpam-5071	502	15	.	.	PUNCT
ejpam-5071	503	1	journal	journal	PROPN
ejpam-5071	503	2	of	of	ADP
ejpam-5071	503	3	computational	computational	ADJ
ejpam-5071	503	4	and	and	CCONJ
ejpam-5071	503	5	applied	applied	ADJ
ejpam-5071	503	6	mathematics	mathematic	NOUN
ejpam-5071	503	7	,	,	PUNCT
ejpam-5071	503	8	302:71–80	302:71–80	PROPN
ejpam-5071	503	9	,	,	PUNCT
ejpam-5071	503	10	2016	2016	NUM
ejpam-5071	503	11	.	.	PUNCT
ejpam-5071	504	1	references	reference	NOUN
ejpam-5071	504	2	1069	1069	NUM
ejpam-5071	504	3	[	[	X
ejpam-5071	504	4	32	32	NUM
ejpam-5071	504	5	]	]	PUNCT
ejpam-5071	504	6	abdul	abdul	PROPN
ejpam-5071	504	7	-	-	PUNCT
ejpam-5071	504	8	majid	majid	PROPN
ejpam-5071	504	9	wazwaz	wazwaz	PROPN
ejpam-5071	504	10	,	,	PUNCT
ejpam-5071	504	11	randolph	randolph	PROPN
ejpam-5071	504	12	rach	rach	PROPN
ejpam-5071	504	13	,	,	PUNCT
ejpam-5071	504	14	and	and	CCONJ
ejpam-5071	504	15	jun	jun	PROPN
ejpam-5071	504	16	-	-	PUNCT
ejpam-5071	504	17	sheng	sheng	PROPN
ejpam-5071	504	18	duan	duan	PROPN
ejpam-5071	504	19	.	.	PUNCT
ejpam-5071	505	1	the	the	DET
ejpam-5071	505	2	modified	modify	VERB
ejpam-5071	505	3	adomian	adomian	NOUN
ejpam-5071	505	4	decomposition	decomposition	NOUN
ejpam-5071	505	5	method	method	NOUN
ejpam-5071	505	6	and	and	CCONJ
ejpam-5071	505	7	the	the	DET
ejpam-5071	505	8	noise	noise	NOUN
ejpam-5071	505	9	terms	term	NOUN
ejpam-5071	505	10	phenomenon	phenomenon	NOUN
ejpam-5071	505	11	for	for	ADP
ejpam-5071	505	12	solving	solve	VERB
ejpam-5071	505	13	nonlinear	nonlinear	ADJ
ejpam-5071	505	14	weakly	weakly	ADJ
ejpam-5071	505	15	-	-	PUNCT
ejpam-5071	505	16	singular	singular	ADJ
ejpam-5071	505	17	volterra	volterra	NOUN
ejpam-5071	505	18	and	and	CCONJ
ejpam-5071	505	19	fredholm	fredholm	VERB
ejpam-5071	505	20	integral	integral	ADJ
ejpam-5071	505	21	equations	equation	NOUN
ejpam-5071	505	22	.	.	PUNCT
ejpam-5071	506	1	central	central	ADJ
ejpam-5071	506	2	european	european	PROPN
ejpam-5071	506	3	journal	journal	PROPN
ejpam-5071	506	4	of	of	ADP
ejpam-5071	506	5	engineering	engineering	PROPN
ejpam-5071	506	6	,	,	PUNCT
ejpam-5071	506	7	3:669–678	3:669–678	NUM
ejpam-5071	506	8	,	,	PUNCT
ejpam-5071	506	9	2013	2013	NUM
ejpam-5071	506	10	.	.	PUNCT